Subgroups — C₃×#61632 #10680239

Order 768.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3536	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3486	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3316	C₂	1	2	yes	maximal, complemented
4	C₃×#3308	C₂	1	2	yes	maximal, complemented
5	C₃×#3299	C₂	1	2	yes	maximal, complemented
6	C₃×#3298	C₂	1	2	yes	maximal, complemented
7	C₃×#3285	C₂	1	2	yes	maximal, complemented
8	C₃×#3282	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×#3201	C₂	1	2	yes	maximal, complemented
13	C₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3121	C₂	1	2	yes	maximal, complemented
16	C₃×#3013	C₂	1	2	yes	maximal, complemented
17	C₂×C₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2977	C₂	1	1	yes	maximal, characteristic, complemented
20	#61632	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
21	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
22	C₂³×C₃×Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₃×#137	C₂²	1	2	yes	complemented
24	C₂×C₃×#135	C₂²	1	2	yes	complemented
25	C₂²×C₃×Q₁₆	C₂²	1	2	yes	complemented
26	C₂²×C₃×SD₁₆	C₂²	1	2	yes	—
27	C₃×#562	—	2	2	no	—
28	C₃×#554	C₂²	1	2	yes	—
29	C₃×D₄×Q₈	—	2	1	no	—
30	C₃×D₄×Q₈	—	2	1	no	—
31	C₃×D₄×Q₈	C₂²	1	2	yes	—
32	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
33	C₃×#548	—	2	1	no	—
34	C₃×#548	—	2	1	no	—
35	C₃×#548	C₂²	1	2	yes	—
36	C₃×#548	C₂²	1	2	yes	—
37	C₃×#548	C₂²	1	2	yes	complemented
38	C₃×#547	C₂²	1	2	yes	—
39	C₃×#546	—	2	2	no	—
40	C₃×#546	C₂²	1	2	yes	—
41	C₃×#543	—	2	1	no	—
42	C₃×#542	C₂²	1	2	yes	—
43	C₃×#539	—	2	1	no	—
44	C₃×#538	—	2	1	no	—
45	C₃×#537	—	2	1	no	—
46	C₃×#537	C₂²	1	2	yes	—
47	C₃×#536	—	2	2	no	—
48	C₃×#536	C₂²	1	1	yes	characteristic, complemented
49	C₃×#536	C₂²	1	1	yes	characteristic, complemented
50	C₃×#525	—	2	2	no	—
51	C₃×#525	C₂²	1	1	yes	characteristic
52	C₃×#525	C₂²	1	1	yes	characteristic
53	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	C₂×C₃×#121	C₂²	1	1	yes	characteristic
55	C₃×#519	C₂²	1	1	yes	characteristic, complemented
56	C₃×#497	C₂²	1	2	yes	complemented
57	C₃×#495	C₂²	1	2	yes	complemented
58	C₃×#489	C₂²	1	2	yes	complemented
59	C₃×#487	C₂²	1	2	yes	complemented
60	C₃×#485	C₂²	1	2	yes	complemented
61	C₃×#484	C₂²	1	1	yes	characteristic
62	C₃×#484	C₂²	1	2	yes	complemented
63	C₃×#483	C₂²	1	1	yes	characteristic, complemented
64	C₃×#483	C₂²	1	2	yes	complemented
65	C₃×#482	C₂²	1	2	yes	—
66	C₃×#481	C₂²	1	1	yes	characteristic
67	C₃×#480	C₂²	1	1	yes	characteristic, 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×#468	C₂²	1	2	yes	complemented
72	C₃×#467	C₂²	1	2	yes	—
73	C₃×#467	C₂²	1	2	yes	complemented
74	C₃×#466	C₂²	1	2	yes	—
75	C₃×#465	C₂²	1	2	yes	—
76	C₃×#465	C₂²	1	2	yes	—
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	complemented
85	C₃×#452	C₂²	1	2	yes	complemented
86	C₃×#452	C₂²	1	2	yes	complemented
87	C₃×#452	C₂²	1	2	yes	complemented
88	C₃×#451	C₂²	1	2	yes	—
89	C₃×#451	C₂²	1	2	yes	—
90	C₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₃×#451	C₂²	1	2	yes	complemented
92	C₃×#451	C₂²	1	2	yes	complemented
93	C₃×#451	C₂²	1	2	yes	complemented
94	C₃×#450	C₂²	1	1	yes	characteristic
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	1	yes	characteristic, complemented
102	C₃×#448	C₂²	1	2	yes	complemented
103	C₃×#447	C₂²	1	1	yes	characteristic
104	C₃×#441	C₂²	1	2	yes	complemented
105	C₃×#440	C₂²	1	2	yes	complemented
106	C₃×C₄×Q₁₆	C₂²	1	2	yes	complemented
107	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
108	C₃×#435	C₂²	1	2	yes	—
109	C₃×#435	C₂²	1	2	yes	complemented
110	C₃×C₈×D₄	C₂²	1	2	yes	—
111	C₃×C₈×D₄	C₂²	1	2	yes	complemented
112	C₃×#433	C₂²	1	2	yes	complemented
113	C₃×#417	C₂²	1	2	yes	complemented
114	C₂×C₃×#103	C₂²	1	2	yes	—
115	C₂×C₃×#103	C₂²	1	2	yes	complemented
116	C₂×C₃×#103	C₂²	1	2	yes	complemented
117	C₃×#408	C₂²	1	2	yes	complemented
118	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
119	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
120	#3536	C₂×C₃	1	1	yes	characteristic, complemented
121	#3486	C₂×C₃	1	1	yes	characteristic, complemented
122	#3316	C₂×C₃	1	2	yes	complemented
123	#3308	C₂×C₃	1	2	yes	complemented
124	#3299	C₂×C₃	1	2	yes	complemented
125	#3298	C₂×C₃	1	2	yes	complemented
126	#3285	C₂×C₃	1	2	yes	complemented
127	#3282	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	#3201	C₂×C₃	1	2	yes	complemented
132	#3190	C₂×C₃	1	1	yes	characteristic, complemented
133	#3188	C₂×C₃	1	1	yes	characteristic, complemented
134	#3121	C₂×C₃	1	2	yes	complemented
135	#3013	C₂×C₃	1	2	yes	complemented
136	C₂×#451	C₂×C₃	1	1	yes	characteristic, complemented
137	C₂×#448	C₂×C₃	1	1	yes	characteristic, complemented
138	#2977	C₂×C₃	1	1	yes	characteristic, complemented
139	C₃×2₋¹⁺⁴	—	4	4	no	—
140	C₂×C₃×#41	—	2	2	no	—
141	C₂×C₃×#41	—	2	1	no	—
142	C₂×C₃×#41	—	2	2	no	—
143	C₂×C₃×#41	C₂³	1	2	yes	—
144	C₂×C₃×#41	C₂³	1	2	yes	—
145	C₂×C₃×#41	C₂³	1	1	yes	characteristic
146	C₂×C₃×#41	C₂³	1	1	yes	characteristic
147	C₂²×C₃×Q₈	—	2	1	no	—
148	C₂²×C₃×Q₈	—	2	1	no	—
149	C₂²×C₃×Q₈	—	2	1	no	—
150	C₂²×C₃×Q₈	—	2	1	no	—
151	C₂²×C₃×Q₈	—	4	4	no	—
152	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
153	C₂²×C₃×Q₈	C₂³	1	2	yes	—
154	C₂²×C₃×Q₈	C₂³	1	2	yes	—
155	C₂²×C₃×Q₈	C₂³	1	2	yes	—
156	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
157	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
158	C₂²×C₃×D₄	—	2	1	no	—
159	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
160	C₂³×C₃×C₄	—	2	1	no	—
161	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
162	C₃×#137	—	4	4	no	—
163	C₃×#135	—	4	4	no	—
164	C₂×C₃×Q₁₆	—	4	4	no	—
165	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
166	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
167	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
168	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
169	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
170	C₂×C₃×SD₁₆	—	4	4	no	—
171	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
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×D₈	C₂³	1	2	yes	—
178	C₂×C₃×M₁₆	C₂³	1	2	yes	—
179	C₂²×C₃×C₈	C₂³	1	2	yes	—
180	C₂²×C₃×C₈	C₂³	1	2	yes	—
181	C₂²×C₃×C₈	C₂³	1	2	yes	—
182	C₃×C₄⋊Q₈	—	2	1	no	—
183	C₃×C₄⋊Q₈	—	2	2	no	—
184	C₃×C₄⋊Q₈	—	2	2	no	—
185	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
186	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
187	C₃×#126	—	2	2	no	—
188	C₃×#125	—	2	2	no	—
189	C₃×#124	—	2	1	no	—
190	C₃×#124	—	2	2	no	—
191	C₃×#124	—	2	2	no	—
192	C₃×#124	—	2	2	no	—
193	C₃×#124	—	2	2	no	—
194	C₃×#124	C₂³	1	2	yes	—
195	C₃×#124	C₂³	1	2	yes	—
196	C₃×#123	—	2	2	no	—
197	C₃×#123	—	2	1	no	—
198	C₃×#123	—	2	2	no	—
199	C₃×#123	—	2	2	no	—
200	C₃×#123	—	2	2	no	—
201	C₃×#123	—	2	2	no	—
202	C₃×#123	—	2	2	no	—
203	C₃×#123	D₄	1	2	yes	—
204	C₃×C₂²⋊Q₈	—	2	2	no	—
205	C₃×C₂²⋊Q₈	—	2	1	no	—
206	C₃×C₂²⋊Q₈	—	2	1	no	—
207	C₃×C₂²⋊Q₈	—	2	2	no	—
208	C₃×C₂²⋊Q₈	—	2	2	no	—
209	C₃×C₂²⋊Q₈	—	2	2	no	—
210	C₃×C₂²⋊Q₈	—	2	2	no	—
211	C₃×C₂²⋊Q₈	—	2	1	no	—
212	C₃×C₂²⋊Q₈	—	2	1	no	—
213	C₃×C₂²⋊Q₈	—	2	2	no	—
214	C₃×C₂²⋊Q₈	—	2	2	no	—
215	C₃×C₂²⋊Q₈	—	2	2	no	—
216	C₃×C₂²⋊Q₈	—	2	2	no	—
217	C₃×C₂²⋊Q₈	—	2	2	no	—
218	C₃×C₂²⋊Q₈	—	2	2	no	—
219	C₃×C₂²⋊Q₈	—	2	2	no	—
220	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
221	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
222	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₃×#121	—	2	2	no	—
230	C₃×#121	—	2	2	no	—
231	C₃×#121	—	2	2	no	—
232	C₃×#121	—	2	2	no	—
233	C₃×#121	—	2	2	no	—
234	C₃×#121	—	2	2	no	—
235	C₃×#121	—	2	1	no	—
236	C₃×#121	—	2	1	no	—
237	C₃×#121	—	2	2	no	—
238	C₃×#121	D₄	1	1	yes	characteristic
239	C₃×#121	D₄	1	1	yes	characteristic
240	C₃×#121	C₂³	1	1	yes	characteristic
241	C₃×#121	C₂³	1	2	yes	—
242	C₃×#121	C₂³	1	2	yes	—
243	C₃×#121	C₂³	1	2	yes	—
244	C₃×#121	C₂³	1	1	yes	characteristic
245	C₃×#120	—	2	1	no	—
246	C₃×#120	—	2	2	no	—
247	C₃×#120	D₄	1	2	yes	—
248	C₃×C₄×Q₈	—	2	1	no	—
249	C₃×C₄×Q₈	—	2	1	no	—
250	C₃×C₄×Q₈	C₂³	1	2	yes	—
251	C₃×C₄×Q₈	C₂³	1	2	yes	—
252	C₃×C₄×Q₈	C₂³	1	2	yes	—
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	—	2	1	no	—
257	C₃×C₄×D₄	—	2	1	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	C₂³	1	2	yes	—
262	C₃×C₄×D₄	C₂³	1	2	yes	—
263	C₃×C₄×D₄	C₂³	1	2	yes	—
264	C₃×#117	—	2	2	no	—
265	C₃×#117	C₂³	1	1	yes	characteristic
266	C₃×#117	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	—	2	1	no	—
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
271	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
272	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
273	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
274	C₃×#107	C₂³	1	2	yes	—
275	C₃×#107	C₂³	1	2	yes	—
276	C₃×#106	C₂³	1	2	yes	—
277	C₃×#106	C₂³	1	2	yes	—
278	C₃×C₄⋊C₈	C₂³	1	2	yes	—
279	C₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₃×#103	C₂³	1	2	yes	—
281	C₃×#103	C₂³	1	2	yes	—
282	C₃×#103	C₂³	1	2	yes	—
283	C₃×#103	C₂³	1	2	yes	—
284	C₃×#103	C₂³	1	2	yes	—
285	C₃×#103	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×#102	C₂³	1	2	yes	—
293	C₃×#102	C₂³	1	2	yes	—
294	C₃×#102	C₂³	1	2	yes	—
295	C₃×#102	C₂³	1	2	yes	—
296	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
297	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
298	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
300	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
301	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
302	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₃×#97	C₂³	1	2	yes	—
305	C₃×C₄×C₈	C₂³	1	2	yes	—
306	C₂×2₋¹⁺⁴	C₂²×C₃	1	1	yes	characteristic, complemented
307	C₂³×Q₈	C₂²×C₃	1	1	yes	characteristic
308	C₂×#137	C₂²×C₃	1	2	yes	complemented
309	C₂×#135	C₂²×C₃	1	2	yes	complemented
310	C₂²×Q₁₆	C₂²×C₃	1	2	yes	complemented
311	C₂²×SD₁₆	C₂²×C₃	1	2	yes	—
312	#562	—	2	2	no	—
313	#554	C₂²×C₃	1	2	yes	—
314	D₄×Q₈	—	2	1	no	—
315	D₄×Q₈	—	2	1	no	—
316	D₄×Q₈	C₂²×C₃	1	2	yes	—
317	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
318	#548	—	2	1	no	—
319	#548	—	2	1	no	—
320	#548	C₂²×C₃	1	2	yes	—
321	#548	C₂²×C₃	1	2	yes	—
322	#548	C₂²×C₃	1	2	yes	complemented
323	#547	C₂²×C₃	1	2	yes	—
324	#546	—	2	2	no	—
325	#546	C₂²×C₃	1	2	yes	—
326	#543	—	2	1	no	—
327	#542	C₂²×C₃	1	2	yes	—
328	#539	—	2	1	no	—
329	#538	—	2	1	no	—
330	#537	—	2	1	no	—
331	#537	C₂²×C₃	1	2	yes	—
332	#536	—	2	2	no	—
333	#536	C₂²×C₃	1	1	yes	characteristic, complemented
334	#536	C₂²×C₃	1	1	yes	characteristic, complemented
335	#525	—	2	2	no	—
336	#525	C₂²×C₃	1	1	yes	characteristic
337	#525	C₂²×C₃	1	1	yes	characteristic
338	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
339	C₂×#121	C₂²×C₃	1	1	yes	characteristic
340	#519	C₂²×C₃	1	1	yes	characteristic, complemented
341	#497	C₂²×C₃	1	2	yes	complemented
342	#495	C₂²×C₃	1	2	yes	complemented
343	#489	C₂²×C₃	1	2	yes	complemented
344	#487	C₂²×C₃	1	2	yes	complemented
345	#485	C₂²×C₃	1	2	yes	complemented
346	#484	C₂²×C₃	1	1	yes	characteristic
347	#484	C₂²×C₃	1	2	yes	complemented
348	#483	C₂²×C₃	1	1	yes	characteristic, complemented
349	#483	C₂²×C₃	1	2	yes	complemented
350	#482	C₂²×C₃	1	2	yes	—
351	#481	C₂²×C₃	1	1	yes	characteristic
352	#480	C₂²×C₃	1	1	yes	characteristic, complemented
353	#477	C₂²×C₃	1	2	yes	complemented
354	#475	C₂²×C₃	1	2	yes	complemented
355	#470	C₂²×C₃	1	2	yes	complemented
356	#468	C₂²×C₃	1	2	yes	complemented
357	#467	C₂²×C₃	1	2	yes	—
358	#467	C₂²×C₃	1	2	yes	complemented
359	#466	C₂²×C₃	1	2	yes	—
360	#465	C₂²×C₃	1	2	yes	—
361	#465	C₂²×C₃	1	2	yes	—
362	#465	C₂²×C₃	1	2	yes	complemented
363	#464	C₂²×C₃	1	2	yes	complemented
364	#464	C₂²×C₃	1	2	yes	complemented
365	#464	C₂²×C₃	1	2	yes	complemented
366	#463	C₂²×C₃	1	2	yes	complemented
367	#462	C₂²×C₃	1	2	yes	complemented
368	#461	C₂²×C₃	1	2	yes	complemented
369	#452	C₂²×C₃	1	2	yes	complemented
370	#452	C₂²×C₃	1	2	yes	complemented
371	#452	C₂²×C₃	1	2	yes	complemented
372	#452	C₂²×C₃	1	2	yes	complemented
373	#451	C₂²×C₃	1	2	yes	—
374	#451	C₂²×C₃	1	2	yes	—
375	#451	C₂²×C₃	1	2	yes	complemented
376	#451	C₂²×C₃	1	1	yes	characteristic, complemented
377	#451	C₂²×C₃	1	2	yes	complemented
378	#451	C₂²×C₃	1	2	yes	complemented
379	#450	C₂²×C₃	1	1	yes	characteristic
380	#449	C₂²×C₃	1	2	yes	—
381	#449	C₂²×C₃	1	2	yes	complemented
382	#448	C₂²×C₃	1	2	yes	—
383	#448	C₂²×C₃	1	2	yes	—
384	#448	C₂²×C₃	1	2	yes	—
385	#448	C₂²×C₃	1	2	yes	—
386	#448	C₂²×C₃	1	1	yes	characteristic, complemented
387	#448	C₂²×C₃	1	2	yes	complemented
388	#447	C₂²×C₃	1	1	yes	characteristic
389	#441	C₂²×C₃	1	2	yes	complemented
390	#440	C₂²×C₃	1	2	yes	complemented
391	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
392	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
393	#435	C₂²×C₃	1	2	yes	—
394	#435	C₂²×C₃	1	2	yes	complemented
395	C₈×D₄	C₂²×C₃	1	2	yes	—
396	C₈×D₄	C₂²×C₃	1	2	yes	complemented
397	#433	C₂²×C₃	1	2	yes	complemented
398	#417	C₂²×C₃	1	2	yes	complemented
399	C₂×#103	C₂²×C₃	1	2	yes	—
400	C₂×#103	C₂²×C₃	1	2	yes	complemented
401	C₂×#103	C₂²×C₃	1	2	yes	complemented
402	#408	C₂²×C₃	1	2	yes	complemented
403	C₂×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
404	C₂×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
405	C₂⁴×C₃	—	2	1	no	—
406	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
407	C₃×#41	—	2	4	no	—
408	C₃×#41	—	4	2	no	—
409	C₃×#41	—	4	2	no	—
410	C₃×#41	—	4	2	no	—
411	C₃×#41	—	4	8	no	—
412	C₃×#41	—	4	2	no	—
413	C₃×#41	—	4	2	no	—
414	C₃×#41	—	4	4	no	—
415	C₃×#41	—	8	4	no	—
416	C₂×C₃×Q₈	—	2	4	no	—
417	C₂×C₃×Q₈	—	2	1	no	—
418	C₂×C₃×Q₈	—	2	2	no	—
419	C₂×C₃×Q₈	—	2	2	no	—
420	C₂×C₃×Q₈	—	2	1	no	—
421	C₂×C₃×Q₈	—	2	2	no	—
422	C₂×C₃×Q₈	—	2	1	no	—
423	C₂×C₃×Q₈	—	2	2	no	—
424	C₂×C₃×Q₈	—	2	4	no	—
425	C₂×C₃×Q₈	—	2	4	no	—
426	C₂×C₃×Q₈	—	2	4	no	—
427	C₂×C₃×Q₈	—	4	2	no	—
428	C₂×C₃×Q₈	—	4	2	no	—
429	C₂×C₃×Q₈	—	4	2	no	—
430	C₂×C₃×Q₈	—	4	2	no	—
431	C₂×C₃×Q₈	—	4	4	no	—
432	C₂×C₃×Q₈	—	4	2	no	—
433	C₂×C₃×Q₈	—	4	4	no	—
434	C₂×C₃×Q₈	—	4	4	no	—
435	C₂×C₃×Q₈	—	4	4	no	—
436	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
437	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
438	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
439	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
440	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
441	C₂×C₃×D₄	—	2	1	no	—
442	C₂×C₃×D₄	—	2	1	no	—
443	C₂×C₃×D₄	—	2	2	no	—
444	C₂×C₃×D₄	—	2	1	no	—
445	C₂×C₃×D₄	—	2	2	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	—	4	2	no	—
451	C₂×C₃×D₄	—	8	2	no	—
452	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
453	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
454	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
455	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
456	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
457	C₂×C₃×D₄	C₂⁴	1	2	yes	—
458	C₂²×C₃×C₄	—	2	1	no	—
459	C₂²×C₃×C₄	—	2	1	no	—
460	C₂²×C₃×C₄	—	2	2	no	—
461	C₂²×C₃×C₄	—	2	2	no	—
462	C₂²×C₃×C₄	—	2	2	no	—
463	C₂²×C₃×C₄	—	2	1	no	—
464	C₂²×C₃×C₄	—	2	1	no	—
465	C₂²×C₃×C₄	—	2	1	no	—
466	C₂²×C₃×C₄	—	2	2	no	—
467	C₂²×C₃×C₄	—	2	2	no	—
468	C₂²×C₃×C₄	—	2	1	no	—
469	C₂²×C₃×C₄	—	2	2	no	—
470	C₂²×C₃×C₄	—	2	2	no	—
471	C₂²×C₃×C₄	—	4	2	no	—
472	C₂²×C₃×C₄	—	4	4	no	—
473	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
474	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
475	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
476	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
477	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
478	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
479	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
480	C₃×Q₁₆	—	2	4	no	—
481	C₃×Q₁₆	—	2	4	no	—
482	C₃×Q₁₆	—	4	2	no	—
483	C₃×Q₁₆	—	4	2	no	—
484	C₃×Q₁₆	—	4	2	no	—
485	C₃×SD₁₆	—	2	4	no	—
486	C₃×SD₁₆	—	2	4	no	—
487	C₃×SD₁₆	—	4	2	no	—
488	C₃×SD₁₆	—	4	2	no	—
489	C₃×SD₁₆	—	4	2	no	—
490	C₃×SD₁₆	—	4	2	no	—
491	C₃×D₈	—	4	2	no	—
492	C₃×M₁₆	—	4	2	no	—
493	C₂×C₃×C₈	—	4	2	no	—
494	C₂×C₃×C₈	—	4	2	no	—
495	C₂×C₃×C₈	—	4	2	no	—
496	C₂×C₃×C₈	C₂⁴	1	2	yes	—
497	C₂×C₃×C₈	C₂⁴	1	2	yes	—
498	C₂×C₃×C₈	C₂⁴	1	2	yes	—
499	C₂×C₃×C₈	C₂⁴	1	2	yes	—
500	C₃×C₄⋊C₄	—	2	2	no	—
501	C₃×C₄⋊C₄	—	2	2	no	—
502	C₃×C₄⋊C₄	—	2	1	no	—
503	C₃×C₄⋊C₄	—	2	2	no	—
504	C₃×C₄⋊C₄	—	2	1	no	—
505	C₃×C₄⋊C₄	—	2	2	no	—
506	C₃×C₄⋊C₄	—	2	2	no	—
507	C₃×C₄⋊C₄	—	2	2	no	—
508	C₃×C₄⋊C₄	—	2	2	no	—
509	C₃×C₄⋊C₄	—	2	2	no	—
510	C₃×C₄⋊C₄	—	2	2	no	—
511	C₃×C₄⋊C₄	—	2	2	no	—
512	C₃×C₄⋊C₄	—	2	1	no	—
513	C₃×C₄⋊C₄	—	2	1	no	—
514	C₃×C₄⋊C₄	—	2	2	no	—
515	C₃×C₄⋊C₄	—	2	2	no	—
516	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
517	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
518	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
519	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
520	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
521	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
522	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
523	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
524	C₃×C₂²⋊C₄	—	2	2	no	—
525	C₃×C₂²⋊C₄	—	2	2	no	—
526	C₃×C₂²⋊C₄	—	2	1	no	—
527	C₃×C₂²⋊C₄	—	2	1	no	—
528	C₃×C₂²⋊C₄	—	2	1	no	—
529	C₃×C₂²⋊C₄	—	2	2	no	—
530	C₃×C₂²⋊C₄	—	2	2	no	—
531	C₃×C₂²⋊C₄	—	2	2	no	—
532	C₃×C₂²⋊C₄	—	2	2	no	—
533	C₃×C₂²⋊C₄	—	2	2	no	—
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	2	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	C₂×D₄	1	2	yes	—
543	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
544	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
545	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
546	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
547	C₃×C₄²	—	2	2	no	—
548	C₃×C₄²	—	2	2	no	—
549	C₃×C₄²	—	2	1	no	—
550	C₃×C₄²	—	2	2	no	—
551	C₃×C₄²	C₂⁴	1	2	yes	—
552	2₋¹⁺⁴	—	4	4	no	—
553	C₂×#41	—	2	2	no	—
554	C₂×#41	—	2	1	no	—
555	C₂×#41	—	2	2	no	—
556	C₂×#41	C₂³×C₃	1	2	yes	—
557	C₂×#41	C₂³×C₃	1	1	yes	characteristic
558	C₂×#41	C₂³×C₃	1	2	yes	—
559	C₂×#41	C₂³×C₃	1	1	yes	characteristic
560	C₂²×Q₈	—	2	1	no	—
561	C₂²×Q₈	—	2	1	no	—
562	C₂²×Q₈	—	2	1	no	—
563	C₂²×Q₈	—	2	1	no	—
564	C₂²×Q₈	—	4	4	no	—
565	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
566	C₂²×Q₈	C₂³×C₃	1	2	yes	—
567	C₂²×Q₈	C₂³×C₃	1	2	yes	—
568	C₂²×Q₈	C₂³×C₃	1	2	yes	—
569	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
570	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
571	C₂²×D₄	—	2	1	no	—
572	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
573	C₂³×C₄	—	2	1	no	—
574	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
575	#137	—	4	4	no	—
576	#135	—	4	4	no	—
577	C₂×Q₁₆	—	4	4	no	—
578	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
579	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
580	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
581	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
582	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
583	C₂×SD₁₆	—	4	4	no	—
584	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
585	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
586	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
587	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
588	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
589	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
590	C₂×D₈	C₂³×C₃	1	2	yes	—
591	C₂×M₁₆	C₂³×C₃	1	2	yes	—
592	C₂²×C₈	C₂³×C₃	1	2	yes	—
593	C₂²×C₈	C₂³×C₃	1	2	yes	—
594	C₂²×C₈	C₂³×C₃	1	2	yes	—
595	C₄⋊Q₈	—	2	1	no	—
596	C₄⋊Q₈	—	2	2	no	—
597	C₄⋊Q₈	—	2	2	no	—
598	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
599	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
600	#126	—	2	2	no	—
601	#125	—	2	2	no	—
602	#124	—	2	1	no	—
603	#124	—	2	2	no	—
604	#124	—	2	2	no	—
605	#124	—	2	2	no	—
606	#124	—	2	2	no	—
607	#124	C₂³×C₃	1	2	yes	—
608	#124	C₂³×C₃	1	2	yes	—
609	#123	—	2	2	no	—
610	#123	—	2	1	no	—
611	#123	—	2	2	no	—
612	#123	—	2	2	no	—
613	#123	—	2	2	no	—
614	#123	—	2	2	no	—
615	#123	—	2	2	no	—
616	#123	C₃×D₄	1	2	yes	—
617	C₂²⋊Q₈	—	2	2	no	—
618	C₂²⋊Q₈	—	2	1	no	—
619	C₂²⋊Q₈	—	2	1	no	—
620	C₂²⋊Q₈	—	2	2	no	—
621	C₂²⋊Q₈	—	2	2	no	—
622	C₂²⋊Q₈	—	2	1	no	—
623	C₂²⋊Q₈	—	2	1	no	—
624	C₂²⋊Q₈	—	2	2	no	—
625	C₂²⋊Q₈	—	2	2	no	—
626	C₂²⋊Q₈	—	2	2	no	—
627	C₂²⋊Q₈	—	2	2	no	—
628	C₂²⋊Q₈	—	2	2	no	—
629	C₂²⋊Q₈	—	2	2	no	—
630	C₂²⋊Q₈	—	2	2	no	—
631	C₂²⋊Q₈	—	2	2	no	—
632	C₂²⋊Q₈	—	2	2	no	—
633	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
634	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
635	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
636	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
637	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
638	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
639	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
640	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
641	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
642	#121	—	2	2	no	—
643	#121	—	2	2	no	—
644	#121	—	2	2	no	—
645	#121	—	2	2	no	—
646	#121	—	2	2	no	—
647	#121	—	2	2	no	—
648	#121	—	2	1	no	—
649	#121	—	2	1	no	—
650	#121	—	2	2	no	—
651	#121	C₃×D₄	1	1	yes	characteristic
652	#121	C₃×D₄	1	1	yes	characteristic
653	#121	C₂³×C₃	1	2	yes	—
654	#121	C₂³×C₃	1	2	yes	—
655	#121	C₂³×C₃	1	1	yes	characteristic
656	#121	C₂³×C₃	1	1	yes	characteristic
657	#121	C₂³×C₃	1	2	yes	—
658	#120	—	2	1	no	—
659	#120	—	2	2	no	—
660	#120	C₃×D₄	1	2	yes	—
661	C₄×Q₈	—	2	1	no	—
662	C₄×Q₈	—	2	1	no	—
663	C₄×Q₈	C₂³×C₃	1	2	yes	—
664	C₄×Q₈	C₂³×C₃	1	2	yes	—
665	C₄×Q₈	C₂³×C₃	1	2	yes	—
666	C₄×D₄	—	2	2	no	—
667	C₄×D₄	—	2	2	no	—
668	C₄×D₄	—	2	2	no	—
669	C₄×D₄	—	2	1	no	—
670	C₄×D₄	—	2	1	no	—
671	C₄×D₄	—	2	2	no	—
672	C₄×D₄	—	2	2	no	—
673	C₄×D₄	—	2	2	no	—
674	C₄×D₄	C₂³×C₃	1	2	yes	—
675	C₄×D₄	C₂³×C₃	1	2	yes	—
676	C₄×D₄	C₂³×C₃	1	2	yes	—
677	#117	—	2	2	no	—
678	#117	C₂³×C₃	1	1	yes	characteristic
679	#117	C₂³×C₃	1	1	yes	characteristic
680	C₂×C₄⋊C₄	—	2	1	no	—
681	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
684	C₂×C₂²⋊C₄	—	2	1	no	—
685	C₂×C₂²⋊C₄	—	2	1	no	—
686	C₂×C₂²⋊C₄	—	2	2	no	—
687	#107	C₂³×C₃	1	2	yes	—
688	#107	C₂³×C₃	1	2	yes	—
689	#106	C₂³×C₃	1	2	yes	—
690	#106	C₂³×C₃	1	2	yes	—
691	C₄⋊C₈	C₂³×C₃	1	2	yes	—
692	C₄⋊C₈	C₂³×C₃	1	2	yes	—
693	#103	C₂³×C₃	1	2	yes	—
694	#103	C₂³×C₃	1	2	yes	—
695	#103	C₂³×C₃	1	2	yes	—
696	#103	C₂³×C₃	1	2	yes	—
697	#103	C₂³×C₃	1	2	yes	—
698	#103	C₂³×C₃	1	2	yes	—
699	#103	C₂³×C₃	1	2	yes	—
700	#103	C₂³×C₃	1	2	yes	—
701	#103	C₂³×C₃	1	2	yes	—
702	#103	C₂³×C₃	1	2	yes	—
703	#103	C₂³×C₃	1	2	yes	—
704	#103	C₂³×C₃	1	2	yes	—
705	#102	C₂³×C₃	1	2	yes	—
706	#102	C₂³×C₃	1	2	yes	—
707	#102	C₂³×C₃	1	2	yes	—
708	#102	C₂³×C₃	1	2	yes	—
709	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
710	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
711	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
712	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
713	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
714	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
715	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
716	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
717	#97	C₂³×C₃	1	2	yes	—
718	C₄×C₈	C₂³×C₃	1	2	yes	—
719	C₂³×C₃	—	2	2	no	—
720	C₂³×C₃	—	2	2	no	—
721	C₂³×C₃	—	2	1	no	—
722	C₂³×C₃	—	2	2	no	—
723	C₂³×C₃	—	4	1	no	—
724	C₂³×C₃	—	4	2	no	—
725	C₂³×C₃	—	8	1	no	—
726	C₂³×C₃	—	8	1	no	—
727	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
728	C₂³×C₃	C₂²×D₄	1	2	yes	—
729	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
730	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
731	C₃×Q₈	—	2	4	no	—
732	C₃×Q₈	—	2	2	no	—
733	C₃×Q₈	—	2	2	no	—
734	C₃×Q₈	—	2	2	no	—
735	C₃×Q₈	—	2	2	no	—
736	C₃×Q₈	—	2	2	no	—
737	C₃×Q₈	—	2	2	no	—
738	C₃×Q₈	—	4	1	no	—
739	C₃×Q₈	—	4	4	no	—
740	C₃×Q₈	—	4	4	no	—
741	C₃×Q₈	—	4	4	no	—
742	C₃×Q₈	—	4	2	no	—
743	C₃×Q₈	—	8	1	no	—
744	C₃×Q₈	—	8	2	no	—
745	C₃×Q₈	H(5,𝔽₂)	1	4	yes	—
746	C₃×D₄	—	2	4	no	—
747	C₃×D₄	—	2	4	no	—
748	C₃×D₄	—	2	2	no	—
749	C₃×D₄	—	2	2	no	—
750	C₃×D₄	—	2	2	no	—
751	C₃×D₄	—	4	1	no	—
752	C₃×D₄	—	4	2	no	—
753	C₃×D₄	—	4	4	no	—
754	C₃×D₄	—	4	2	no	—
755	C₃×D₄	—	4	2	no	—
756	C₃×D₄	—	4	4	no	—
757	C₃×D₄	—	4	2	no	—
758	C₃×D₄	—	8	1	no	—
759	C₃×D₄	—	8	2	no	—
760	C₃×D₄	—	8	2	no	—
761	C₃×D₄	—	8	2	no	—
762	C₂×C₃×C₄	—	2	4	no	—
763	C₂×C₃×C₄	—	2	2	no	—
764	C₂×C₃×C₄	—	2	2	no	—
765	C₂×C₃×C₄	—	2	2	no	—
766	C₂×C₃×C₄	—	2	2	no	—
767	C₂×C₃×C₄	—	2	2	no	—
768	C₂×C₃×C₄	—	2	2	no	—
769	C₂×C₃×C₄	—	2	1	no	—
770	C₂×C₃×C₄	—	2	1	no	—
771	C₂×C₃×C₄	—	2	2	no	—
772	C₂×C₃×C₄	—	2	2	no	—
773	C₂×C₃×C₄	—	2	2	no	—
774	C₂×C₃×C₄	—	2	2	no	—
775	C₂×C₃×C₄	—	2	1	no	—
776	C₂×C₃×C₄	—	4	1	no	—
777	C₂×C₃×C₄	—	4	1	no	—
778	C₂×C₃×C₄	—	4	1	no	—
779	C₂×C₃×C₄	—	4	4	no	—
780	C₂×C₃×C₄	—	4	4	no	—
781	C₂×C₃×C₄	—	4	4	no	—
782	C₂×C₃×C₄	—	4	4	no	—
783	C₂×C₃×C₄	—	4	2	no	—
784	C₂×C₃×C₄	—	4	2	no	—
785	C₂×C₃×C₄	—	4	2	no	—
786	C₂×C₃×C₄	—	8	2	no	—
787	C₂×C₃×C₄	—	8	2	no	—
788	C₂×C₃×C₄	—	8	1	no	—
789	C₂×C₃×C₄	—	8	1	no	—
790	C₂×C₃×C₄	—	8	2	no	—
791	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
792	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
793	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
796	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
798	C₃×C₈	—	2	2	no	—
799	C₃×C₈	—	2	2	no	—
800	C₃×C₈	—	2	2	no	—
801	C₃×C₈	—	2	2	no	—
802	C₂⁴	—	2	1	no	—
803	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
804	#41	—	2	4	no	—
805	#41	—	4	2	no	—
806	#41	—	4	2	no	—
807	#41	—	4	2	no	—
808	#41	—	4	8	no	—
809	#41	—	4	2	no	—
810	#41	—	4	2	no	—
811	#41	—	4	4	no	—
812	#41	—	8	4	no	—
813	C₂×Q₈	—	2	4	no	—
814	C₂×Q₈	—	2	1	no	—
815	C₂×Q₈	—	2	2	no	—
816	C₂×Q₈	—	2	2	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	2	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	—	2	2	no	—
821	C₂×Q₈	—	2	4	no	—
822	C₂×Q₈	—	2	4	no	—
823	C₂×Q₈	—	2	4	no	—
824	C₂×Q₈	—	4	2	no	—
825	C₂×Q₈	—	4	2	no	—
826	C₂×Q₈	—	4	2	no	—
827	C₂×Q₈	—	4	2	no	—
828	C₂×Q₈	—	4	4	no	—
829	C₂×Q₈	—	4	2	no	—
830	C₂×Q₈	—	4	4	no	—
831	C₂×Q₈	—	4	4	no	—
832	C₂×Q₈	—	4	4	no	—
833	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
834	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
835	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
836	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
837	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
838	C₂×D₄	—	2	1	no	—
839	C₂×D₄	—	2	1	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	1	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	1	no	—
847	C₂×D₄	—	4	2	no	—
848	C₂×D₄	—	8	2	no	—
849	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
850	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
851	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
852	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
853	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
854	C₂×D₄	C₂⁴×C₃	1	2	yes	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	1	no	—
861	C₂²×C₄	—	2	1	no	—
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	—	2	1	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	2	no	—
868	C₂²×C₄	—	4	2	no	—
869	C₂²×C₄	—	4	4	no	—
870	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
871	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
872	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
873	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
874	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
877	Q₁₆	—	2	4	no	—
878	Q₁₆	—	2	4	no	—
879	Q₁₆	—	4	2	no	—
880	Q₁₆	—	4	2	no	—
881	Q₁₆	—	4	2	no	—
882	SD₁₆	—	2	4	no	—
883	SD₁₆	—	2	4	no	—
884	SD₁₆	—	4	2	no	—
885	SD₁₆	—	4	2	no	—
886	SD₁₆	—	4	2	no	—
887	SD₁₆	—	4	2	no	—
888	D₈	—	4	2	no	—
889	M₁₆	—	4	2	no	—
890	C₂×C₈	—	4	2	no	—
891	C₂×C₈	—	4	2	no	—
892	C₂×C₈	—	4	2	no	—
893	C₂×C₈	C₂⁴×C₃	1	2	yes	—
894	C₂×C₈	C₂⁴×C₃	1	2	yes	—
895	C₂×C₈	C₂⁴×C₃	1	2	yes	—
896	C₂×C₈	C₂⁴×C₃	1	2	yes	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	1	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	1	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
914	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
915	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
916	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
917	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
918	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
919	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
920	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	1	no	—
924	C₂²⋊C₄	—	2	1	no	—
925	C₂²⋊C₄	—	2	1	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	2	no	—
929	C₂²⋊C₄	—	2	2	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	2	no	—
932	C₂²⋊C₄	—	2	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	1	no	—
937	C₂²⋊C₄	—	2	1	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
940	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
941	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
942	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
943	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
944	C₄²	—	2	2	no	—
945	C₄²	—	2	2	no	—
946	C₄²	—	2	1	no	—
947	C₄²	—	2	2	no	—
948	C₄²	C₂⁴×C₃	1	2	yes	—
949	C₂²×C₃	—	2	1	no	—
950	C₂²×C₃	—	2	1	no	—
951	C₂²×C₃	—	2	1	no	—
952	C₂²×C₃	—	2	1	no	—
953	C₂²×C₃	—	2	1	no	—
954	C₂²×C₃	—	2	2	no	—
955	C₂²×C₃	—	2	2	no	—
956	C₂²×C₃	—	2	1	no	—
957	C₂²×C₃	—	2	2	no	—
958	C₂²×C₃	—	2	1	no	—
959	C₂²×C₃	—	4	4	no	—
960	C₂²×C₃	—	4	1	no	—
961	C₂²×C₃	—	4	2	no	—
962	C₂²×C₃	—	4	2	no	—
963	C₂²×C₃	—	4	1	no	—
964	C₂²×C₃	—	4	1	no	—
965	C₂²×C₃	—	4	2	no	—
966	C₂²×C₃	—	16	2	no	—
967	C₂²×C₃	#577	1	2	yes	—
968	C₂²×C₃	#578	1	2	yes	—
969	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
970	C₃×C₄	—	2	4	no	—
971	C₃×C₄	—	2	1	no	—
972	C₃×C₄	—	2	2	no	—
973	C₃×C₄	—	2	1	no	—
974	C₃×C₄	—	2	1	no	—
975	C₃×C₄	—	2	2	no	—
976	C₃×C₄	—	2	2	no	—
977	C₃×C₄	—	4	1	no	—
978	C₃×C₄	—	4	2	no	—
979	C₃×C₄	—	4	2	no	—
980	C₃×C₄	—	4	2	no	—
981	C₃×C₄	—	4	2	no	—
982	C₃×C₄	—	4	1	no	—
983	C₃×C₄	—	4	1	no	—
984	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
985	C₂³	—	2	2	no	—
986	C₂³	—	2	2	no	—
987	C₂³	—	2	1	no	—
988	C₂³	—	2	2	no	—
989	C₂³	—	4	1	no	—
990	C₂³	—	4	2	no	—
991	C₂³	—	8	1	no	—
992	C₂³	—	8	1	no	—
993	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
994	C₂³	C₂²×C₃×D₄	1	2	yes	—
995	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
996	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
997	Q₈	—	2	4	no	—
998	Q₈	—	2	2	no	—
999	Q₈	—	2	2	no	—
1000	Q₈	—	2	2	no	—
1001	Q₈	—	2	2	no	—
1002	Q₈	—	2	2	no	—
1003	Q₈	—	2	2	no	—
1004	Q₈	—	4	1	no	—
1005	Q₈	—	4	4	no	—
1006	Q₈	—	4	4	no	—
1007	Q₈	—	4	4	no	—
1008	Q₈	—	4	2	no	—
1009	Q₈	—	8	1	no	—
1010	Q₈	—	8	2	no	—
1011	Q₈	C₃×H(5,𝔽₂)	1	4	yes	—
1012	D₄	—	2	4	no	—
1013	D₄	—	2	4	no	—
1014	D₄	—	2	2	no	—
1015	D₄	—	2	2	no	—
1016	D₄	—	2	2	no	—
1017	D₄	—	4	1	no	—
1018	D₄	—	4	2	no	—
1019	D₄	—	4	4	no	—
1020	D₄	—	4	2	no	—
1021	D₄	—	4	4	no	—
1022	D₄	—	4	2	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	8	1	no	—
1025	D₄	—	8	2	no	—
1026	D₄	—	8	2	no	—
1027	D₄	—	8	2	no	—
1028	C₂×C₄	—	2	4	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	4	1	no	—
1043	C₂×C₄	—	4	1	no	—
1044	C₂×C₄	—	4	1	no	—
1045	C₂×C₄	—	4	4	no	—
1046	C₂×C₄	—	4	4	no	—
1047	C₂×C₄	—	4	4	no	—
1048	C₂×C₄	—	4	4	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	4	2	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	1	no	—
1055	C₂×C₄	—	8	1	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1058	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1059	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1060	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1061	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1062	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1063	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1064	C₈	—	2	2	no	—
1065	C₈	—	2	2	no	—
1066	C₈	—	2	2	no	—
1067	C₈	—	2	2	no	—
1068	C₂×C₃	—	2	2	no	—
1069	C₂×C₃	—	2	2	no	—
1070	C₂×C₃	—	4	2	no	—
1071	C₂×C₃	—	4	1	no	—
1072	C₂×C₃	—	8	1	no	—
1073	C₂×C₃	—	8	2	no	—
1074	C₂×C₃	#3484	1	1	yes	characteristic
1075	C₂×C₃	C₂×#577	1	1	yes	characteristic
1076	C₂×C₃	C₂×#578	1	1	yes	characteristic
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	2	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	4	4	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	16	2	no	—
1095	C₂²	C₃×#577	1	2	yes	—
1096	C₂²	C₃×#578	1	2	yes	—
1097	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1098	C₄	—	2	4	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	1	no	—
1102	C₄	—	2	1	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	2	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	2	no	—
1108	C₄	—	4	2	no	—
1109	C₄	—	4	2	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1113	C₃	#61632	1	1	yes	characteristic, direct product factor, Sylow
1114	C₂	—	2	2	no	—
1115	C₂	—	2	2	no	—
1116	C₂	—	4	1	no	—
1117	C₂	—	4	2	no	—
1118	C₂	—	8	2	no	—
1119	C₂	—	8	1	no	—
1120	C₂	C₃×#3484	1	1	yes	characteristic
1121	C₂	C₂×C₃×#577	1	1	yes	characteristic
1122	C₂	C₂×C₃×#578	1	1	yes	characteristic

	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×#3536	C₂	semidirect
2. C₃×#3486	C₂	semidirect
3. C₃×#3316	C₂	semidirect
4. C₃×#3308	C₂	semidirect
5. C₃×#3299	C₂	semidirect
6. C₃×#3298	C₂	semidirect
7. C₃×#3285	C₂	semidirect
8. C₃×#3282	C₂	semidirect
9. C₃×#3270	C₂	semidirect
10. C₃×#3266	C₂	semidirect
11. C₃×#3225	C₂	semidirect
12. C₃×#3201	C₂	semidirect
13. C₃×#3190	C₂	semidirect
14. C₃×#3188	C₂	semidirect
15. C₃×#3121	C₂	semidirect
16. C₃×#3013	C₂	semidirect
17. C₂×C₃×#451	C₂	semidirect
18. C₂×C₃×#448	C₂	semidirect
19. C₃×#2977	C₂	semidirect
20. #61632	C₃	direct (N × H)
21. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂×C₃×#137	C₂²	semidirect
24. C₂×C₃×#135	C₂²	semidirect
25. C₂²×C₃×Q₁₆	C₂²	semidirect
32. C₃×D₄×Q₈	C₂²	semidirect
37. C₃×#548	C₂²	semidirect
48. C₃×#536	C₂²	semidirect
49. C₃×#536	C₂²	semidirect
55. C₃×#519	C₂²	semidirect
56. C₃×#497	C₂²	semidirect
57. C₃×#495	C₂²	semidirect
58. C₃×#489	C₂²	semidirect
59. C₃×#487	C₂²	semidirect
60. C₃×#485	C₂²	semidirect
62. C₃×#484	C₂²	semidirect
63. C₃×#483	C₂²	semidirect
64. C₃×#483	C₂²	semidirect
67. C₃×#480	C₂²	semidirect
68. C₃×#477	C₂²	semidirect
69. C₃×#475	C₂²	semidirect
70. C₃×#470	C₂²	semidirect
71. C₃×#468	C₂²	semidirect
73. 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
84. C₃×#452	C₂²	semidirect
85. C₃×#452	C₂²	semidirect
86. C₃×#452	C₂²	semidirect
87. C₃×#452	C₂²	semidirect
90. C₃×#451	C₂²	semidirect
91. C₃×#451	C₂²	semidirect
92. C₃×#451	C₂²	semidirect
93. C₃×#451	C₂²	semidirect
96. C₃×#449	C₂²	semidirect
101. C₃×#448	C₂²	semidirect
102. C₃×#448	C₂²	semidirect
104. C₃×#441	C₂²	semidirect
105. C₃×#440	C₂²	semidirect
106. C₃×C₄×Q₁₆	C₂²	semidirect
107. C₃×C₄×SD₁₆	C₂²	semidirect
109. C₃×#435	C₂²	semidirect
111. C₃×C₈×D₄	C₂²	semidirect
112. C₃×#433	C₂²	semidirect
113. C₃×#417	C₂²	semidirect
115. C₂×C₃×#103	C₂²	semidirect
116. C₂×C₃×#103	C₂²	semidirect
117. C₃×#408	C₂²	semidirect
120. #3536	C₂×C₃	semidirect
121. #3486	C₂×C₃	semidirect
122. #3316	C₂×C₃	semidirect
123. #3308	C₂×C₃	semidirect
124. #3299	C₂×C₃	semidirect
125. #3298	C₂×C₃	semidirect
126. #3285	C₂×C₃	semidirect
127. #3282	C₂×C₃	semidirect
128. #3270	C₂×C₃	semidirect
129. #3266	C₂×C₃	semidirect
130. #3225	C₂×C₃	semidirect
131. #3201	C₂×C₃	semidirect
132. #3190	C₂×C₃	semidirect
133. #3188	C₂×C₃	semidirect
134. #3121	C₂×C₃	semidirect
135. #3013	C₂×C₃	semidirect
136. C₂×#451	C₂×C₃	semidirect
137. C₂×#448	C₂×C₃	semidirect
138. #2977	C₂×C₃	semidirect
306. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
308. C₂×#137	C₂²×C₃	semidirect
309. C₂×#135	C₂²×C₃	semidirect
310. C₂²×Q₁₆	C₂²×C₃	semidirect
317. D₄×Q₈	C₂²×C₃	semidirect
322. #548	C₂²×C₃	semidirect
333. #536	C₂²×C₃	semidirect
334. #536	C₂²×C₃	semidirect
340. #519	C₂²×C₃	semidirect
341. #497	C₂²×C₃	semidirect
342. #495	C₂²×C₃	semidirect
343. #489	C₂²×C₃	semidirect
344. #487	C₂²×C₃	semidirect
345. #485	C₂²×C₃	semidirect
347. #484	C₂²×C₃	semidirect
348. #483	C₂²×C₃	semidirect
349. #483	C₂²×C₃	semidirect
352. #480	C₂²×C₃	semidirect
353. #477	C₂²×C₃	semidirect
354. #475	C₂²×C₃	semidirect
355. #470	C₂²×C₃	semidirect
356. #468	C₂²×C₃	semidirect
358. #467	C₂²×C₃	semidirect
362. #465	C₂²×C₃	semidirect
363. #464	C₂²×C₃	semidirect
364. #464	C₂²×C₃	semidirect
365. #464	C₂²×C₃	semidirect
366. #463	C₂²×C₃	semidirect
367. #462	C₂²×C₃	semidirect
368. #461	C₂²×C₃	semidirect
369. #452	C₂²×C₃	semidirect
370. #452	C₂²×C₃	semidirect
371. #452	C₂²×C₃	semidirect
372. #452	C₂²×C₃	semidirect
375. #451	C₂²×C₃	semidirect
376. #451	C₂²×C₃	semidirect
377. #451	C₂²×C₃	semidirect
378. #451	C₂²×C₃	semidirect
381. #449	C₂²×C₃	semidirect
386. #448	C₂²×C₃	semidirect
387. #448	C₂²×C₃	semidirect
389. #441	C₂²×C₃	semidirect
390. #440	C₂²×C₃	semidirect
391. C₄×Q₁₆	C₂²×C₃	semidirect
392. C₄×SD₁₆	C₂²×C₃	semidirect
394. #435	C₂²×C₃	semidirect
396. C₈×D₄	C₂²×C₃	semidirect
397. #433	C₂²×C₃	semidirect
398. #417	C₂²×C₃	semidirect
400. C₂×#103	C₂²×C₃	semidirect
401. C₂×#103	C₂²×C₃	semidirect
402. #408	C₂²×C₃	semidirect
1113. C₃	#61632	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×#3536	2
C₃×#3486	2
C₃×#3316	2
C₃×#3308	2
C₃×#3299	2
C₃×#3298	2
C₃×#3285	2
C₃×#3282	2
C₃×#3270	2
C₃×#3266	2
C₃×#3225	2
C₃×#3201	2
C₃×#3190	2
C₃×#3188	2
C₃×#3121	2
C₃×#3013	2
C₂×C₃×#451	2
C₂×C₃×#448	2
C₃×#2977	2
#61632	3

Subgroups — C3×#61632 #10680239

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61632 #10680239