Subgroups — C₃×#61785 #10680392

Order 768.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1148 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3354	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3351	C₂	1	2	yes	maximal, complemented
6	C₃×#3341	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3337	C₂	1	2	yes	maximal, complemented
8	C₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3326	C₂	1	2	yes	maximal, complemented
12	C₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3301	C₂	1	2	yes	maximal, complemented
14	C₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3200	C₂	1	2	yes	maximal, complemented
18	C₃×#3198	C₂	1	2	yes	maximal, complemented
19	C₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3099	C₂	1	2	yes	maximal, complemented
22	C₃×#3097	C₂	1	2	yes	maximal, complemented
23	C₃×#2979	C₂	1	1	yes	maximal, characteristic, complemented
24	#61785	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₃×#562	—	2	2	no	—
26	C₃×#559	—	2	2	no	—
27	C₃×#556	—	2	1	no	—
28	C₃×#555	—	2	1	no	—
29	C₃×#555	C₂²	1	1	yes	characteristic
30	C₃×#555	C₂²	1	1	yes	characteristic
31	C₃×#555	C₂²	1	1	yes	characteristic, complemented
32	C₃×#554	C₂²	1	1	yes	characteristic, complemented
33	C₃×#553	—	2	1	no	—
34	C₃×#553	C₂²	1	2	yes	—
35	C₃×#553	C₂²	1	2	yes	—
36	C₃×#552	C₂²	1	2	yes	complemented
37	C₃×#550	—	2	1	no	—
38	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₃×#548	C₂²	1	2	yes	complemented
40	C₃×#547	C₂²	1	1	yes	characteristic
41	C₃×#547	C₂²	1	1	yes	characteristic
42	C₃×#547	C₂²	1	1	yes	characteristic, complemented
43	C₃×#544	—	2	1	no	—
44	C₃×#542	—	2	2	no	—
45	C₃×#540	—	2	1	no	—
46	C₃×#538	—	2	2	no	—
47	C₃×#537	C₂²	1	2	yes	—
48	C₃×#536	C₂²	1	2	yes	—
49	C₃×#535	C₂²	1	2	yes	—
50	C₃×#533	C₂²	1	1	yes	characteristic
51	C₃×#533	C₂²	1	1	yes	characteristic
52	C₃×#532	C₂²	1	1	yes	characteristic
53	C₃×#529	C₂²	1	1	yes	characteristic
54	C₃×#525	—	2	1	no	—
55	C₃×#525	—	2	1	no	—
56	C₃×#520	C₂²	1	2	yes	—
57	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
58	C₃×#500	C₂²	1	1	yes	characteristic, complemented
59	C₃×#499	C₂²	1	2	yes	complemented
60	C₃×#498	C₂²	1	1	yes	characteristic, complemented
61	C₃×#488	C₂²	1	2	yes	complemented
62	C₃×#487	C₂²	1	1	yes	characteristic, complemented
63	C₃×#487	C₂²	1	1	yes	characteristic, complemented
64	C₃×#485	C₂²	1	2	yes	—
65	C₃×#485	C₂²	1	2	yes	—
66	C₃×#485	C₂²	1	2	yes	—
67	C₃×#485	C₂²	1	2	yes	complemented
68	C₃×#485	C₂²	1	2	yes	complemented
69	C₃×#485	C₂²	1	2	yes	complemented
70	C₃×#484	C₂²	1	1	yes	characteristic
71	C₃×#484	C₂²	1	2	yes	complemented
72	C₃×#483	C₂²	1	2	yes	—
73	C₃×#483	C₂²	1	2	yes	complemented
74	C₃×#483	C₂²	1	2	yes	complemented
75	C₃×#482	C₂²	1	2	yes	—
76	C₃×#482	C₂²	1	2	yes	—
77	C₃×#482	C₂²	1	2	yes	—
78	C₃×#482	C₂²	1	2	yes	complemented
79	C₃×#481	C₂²	1	2	yes	—
80	C₃×#481	C₂²	1	1	yes	characteristic
81	C₃×#481	C₂²	1	2	yes	complemented
82	C₃×#480	C₂²	1	2	yes	—
83	C₃×#479	C₂²	1	2	yes	complemented
84	C₃×#479	C₂²	1	2	yes	complemented
85	C₃×#478	C₂²	1	1	yes	characteristic
86	C₃×#478	C₂²	1	1	yes	characteristic
87	C₃×#477	C₂²	1	1	yes	characteristic, complemented
88	C₃×#476	C₂²	1	1	yes	characteristic
89	C₃×#476	C₂²	1	1	yes	characteristic
90	C₃×#476	C₂²	1	1	yes	characteristic, complemented
91	C₃×#475	C₂²	1	1	yes	characteristic, complemented
92	C₃×#474	C₂²	1	1	yes	characteristic, complemented
93	C₃×#469	C₂²	1	2	yes	—
94	C₃×#468	C₂²	1	2	yes	—
95	C₃×#468	C₂²	1	2	yes	—
96	C₃×#468	C₂²	1	2	yes	—
97	C₃×#466	C₂²	1	2	yes	—
98	C₃×#465	C₂²	1	2	yes	—
99	C₃×#465	C₂²	1	2	yes	—
100	C₃×#465	C₂²	1	2	yes	—
101	C₃×#463	C₂²	1	1	yes	characteristic
102	C₃×#463	C₂²	1	1	yes	characteristic
103	C₃×#461	C₂²	1	1	yes	characteristic
104	C₃×#461	C₂²	1	1	yes	characteristic
105	C₃×#450	C₂²	1	2	yes	—
106	C₃×#450	C₂²	1	1	yes	characteristic
107	C₃×#449	C₂²	1	2	yes	—
108	C₃×#449	C₂²	1	2	yes	—
109	C₃×#448	C₂²	1	2	yes	—
110	C₃×#448	C₂²	1	2	yes	—
111	C₃×#447	C₂²	1	1	yes	characteristic
112	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
113	C₃×C₄×SD₁₆	C₂²	1	2	yes	—
114	C₃×C₄×SD₁₆	C₂²	1	2	yes	—
115	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
116	C₃×C₄×D₈	C₂²	1	1	yes	characteristic
117	C₃×C₄×D₈	C₂²	1	1	yes	characteristic
118	C₃×#436	C₂²	1	2	yes	complemented
119	C₃×#436	C₂²	1	1	yes	characteristic, complemented
120	C₃×#436	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
122	C₃×C₈×D₄	C₂²	1	2	yes	complemented
123	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
124	C₃×#431	C₂²	1	1	yes	characteristic
125	C₃×#431	C₂²	1	1	yes	characteristic
126	C₃×#428	C₂²	1	2	yes	complemented
127	C₃×#428	C₂²	1	2	yes	complemented
128	C₃×#427	C₂²	1	2	yes	complemented
129	C₂×C₃×#106	C₂²	1	2	yes	complemented
130	C₃×#419	C₂²	1	2	yes	complemented
131	C₃×#417	C₂²	1	2	yes	complemented
132	C₃×#416	C₂²	1	2	yes	complemented
133	C₂×C₃×#103	C₂²	1	2	yes	complemented
134	C₃×#408	C₂²	1	2	yes	—
135	C₃×#408	C₂²	1	2	yes	—
136	#3547	C₂×C₃	1	1	yes	characteristic, complemented
137	#3506	C₂×C₃	1	1	yes	characteristic, complemented
138	#3357	C₂×C₃	1	1	yes	characteristic, complemented
139	#3354	C₂×C₃	1	1	yes	characteristic, complemented
140	#3351	C₂×C₃	1	2	yes	complemented
141	#3341	C₂×C₃	1	1	yes	characteristic, complemented
142	#3337	C₂×C₃	1	2	yes	complemented
143	#3335	C₂×C₃	1	1	yes	characteristic, complemented
144	#3330	C₂×C₃	1	1	yes	characteristic, complemented
145	#3329	C₂×C₃	1	1	yes	characteristic, complemented
146	#3326	C₂×C₃	1	2	yes	complemented
147	#3303	C₂×C₃	1	1	yes	characteristic, complemented
148	#3301	C₂×C₃	1	2	yes	complemented
149	#3298	C₂×C₃	1	1	yes	characteristic, complemented
150	#3233	C₂×C₃	1	1	yes	characteristic, complemented
151	#3231	C₂×C₃	1	1	yes	characteristic, complemented
152	#3200	C₂×C₃	1	2	yes	complemented
153	#3198	C₂×C₃	1	2	yes	complemented
154	#3105	C₂×C₃	1	1	yes	characteristic, complemented
155	#3101	C₂×C₃	1	1	yes	characteristic, complemented
156	#3099	C₂×C₃	1	2	yes	complemented
157	#3097	C₂×C₃	1	2	yes	complemented
158	#2979	C₂×C₃	1	1	yes	characteristic, complemented
159	C₂×C₃×#41	—	2	1	no	—
160	C₂×C₃×#41	—	2	1	no	—
161	C₂×C₃×#41	C₂³	1	2	yes	—
162	C₂×C₃×#41	C₂³	1	2	yes	—
163	C₂²×C₃×Q₈	C₂³	1	2	yes	—
164	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
165	C₂³×C₃×C₄	—	2	1	no	—
166	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
167	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
168	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
169	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
170	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
171	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
172	C₂×C₃×M₁₆	C₂³	1	2	yes	—
173	C₂×C₃×M₁₆	C₂³	1	2	yes	—
174	C₂²×C₃×C₈	C₂³	1	2	yes	—
175	C₂²×C₃×C₈	C₂³	1	2	yes	—
176	C₃×C₄⋊Q₈	—	2	2	no	—
177	C₃×C₄⋊Q₈	—	2	1	no	—
178	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
179	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
180	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
181	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
182	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
183	C₃×#127	—	2	2	no	—
184	C₃×#127	D₄	1	1	yes	characteristic
185	C₃×#126	—	2	2	no	—
186	C₃×#126	—	2	2	no	—
187	C₃×#126	—	2	2	no	—
188	C₃×#126	—	2	1	no	—
189	C₃×#125	—	2	2	no	—
190	C₃×#125	—	2	1	no	—
191	C₃×#125	—	2	1	no	—
192	C₃×#125	C₂³	1	1	yes	characteristic
193	C₃×#125	C₂³	1	2	yes	—
194	C₃×#124	—	2	2	no	—
195	C₃×#124	—	2	2	no	—
196	C₃×#124	—	2	2	no	—
197	C₃×#124	—	2	2	no	—
198	C₃×#124	—	2	2	no	—
199	C₃×#124	—	2	2	no	—
200	C₃×#124	D₄	1	2	yes	—
201	C₃×#124	C₂³	1	1	yes	characteristic
202	C₃×#123	—	2	2	no	—
203	C₃×#123	—	2	2	no	—
204	C₃×#123	—	2	2	no	—
205	C₃×#123	—	2	1	no	—
206	C₃×#123	—	2	2	no	—
207	C₃×#123	—	2	2	no	—
208	C₃×#123	—	2	2	no	—
209	C₃×#123	—	2	2	no	—
210	C₃×#123	—	2	2	no	—
211	C₃×C₂²⋊Q₈	—	2	2	no	—
212	C₃×C₂²⋊Q₈	—	2	1	no	—
213	C₃×C₂²⋊Q₈	—	2	1	no	—
214	C₃×C₂²⋊Q₈	—	2	1	no	—
215	C₃×C₂²⋊Q₈	—	2	2	no	—
216	C₃×C₂²⋊Q₈	—	2	1	no	—
217	C₃×C₂²⋊Q₈	—	2	1	no	—
218	C₃×C₂²⋊Q₈	—	2	2	no	—
219	C₃×C₂²⋊Q₈	—	2	2	no	—
220	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₃×#121	—	2	2	no	—
226	C₃×#121	—	2	2	no	—
227	C₃×#121	—	2	2	no	—
228	C₃×#121	—	2	1	no	—
229	C₃×#121	—	2	1	no	—
230	C₃×#121	—	2	2	no	—
231	C₃×#121	—	2	2	no	—
232	C₃×#121	—	2	2	no	—
233	C₃×#121	—	2	1	no	—
234	C₃×#121	—	2	1	no	—
235	C₃×#121	D₄	1	2	yes	—
236	C₃×#121	D₄	1	1	yes	characteristic
237	C₃×#121	D₄	1	1	yes	characteristic
238	C₃×#121	C₂³	1	1	yes	characteristic
239	C₃×#121	C₂³	1	2	yes	—
240	C₃×#121	C₂³	1	2	yes	—
241	C₃×#121	C₂³	1	2	yes	—
242	C₃×#121	C₂³	1	2	yes	—
243	C₃×#121	C₂³	1	2	yes	—
244	C₃×#120	—	2	2	no	—
245	C₃×#120	—	2	2	no	—
246	C₃×C₄×Q₈	—	2	2	no	—
247	C₃×C₄×Q₈	—	2	1	no	—
248	C₃×C₄×Q₈	—	2	1	no	—
249	C₃×C₄×Q₈	—	2	1	no	—
250	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
251	C₃×C₄×Q₈	C₂³	1	2	yes	—
252	C₃×C₄×D₄	—	2	2	no	—
253	C₃×C₄×D₄	—	2	2	no	—
254	C₃×C₄×D₄	—	2	2	no	—
255	C₃×C₄×D₄	—	2	1	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	—	2	1	no	—
262	C₃×C₄×D₄	—	2	1	no	—
263	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
264	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
265	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
266	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₃×C₄×D₄	C₂³	1	2	yes	—
271	C₃×#117	—	2	1	no	—
272	C₃×#117	—	2	1	no	—
273	C₃×#117	—	2	1	no	—
274	C₃×#117	—	2	1	no	—
275	C₃×#117	—	2	2	no	—
276	C₃×#117	—	2	1	no	—
277	C₃×#117	C₂³	1	2	yes	—
278	C₃×#117	C₂³	1	2	yes	—
279	C₃×#117	C₂³	1	2	yes	—
280	C₃×#117	C₂³	1	2	yes	—
281	C₂×C₃×C₄⋊C₄	—	2	1	no	—
282	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
283	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
284	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
287	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
288	C₃×#107	C₂³	1	1	yes	characteristic
289	C₃×#107	C₂³	1	2	yes	—
290	C₃×#107	C₂³	1	1	yes	characteristic
291	C₃×#107	C₂³	1	2	yes	—
292	C₃×#107	C₂³	1	2	yes	—
293	C₃×#107	C₂³	1	2	yes	—
294	C₃×#106	C₂³	1	1	yes	characteristic
295	C₃×#106	C₂³	1	2	yes	—
296	C₃×#106	C₂³	1	2	yes	—
297	C₃×#106	C₂³	1	2	yes	—
298	C₃×#106	C₂³	1	2	yes	—
299	C₃×#106	C₂³	1	2	yes	—
300	C₃×#106	C₂³	1	1	yes	characteristic
301	C₃×#106	C₂³	1	2	yes	—
302	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
305	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
306	C₃×#103	C₂³	1	1	yes	characteristic
307	C₃×#103	C₂³	1	2	yes	—
308	C₃×#103	C₂³	1	2	yes	—
309	C₃×#103	C₂³	1	2	yes	—
310	C₃×#103	C₂³	1	2	yes	—
311	C₃×#103	C₂³	1	2	yes	—
312	C₃×#103	C₂³	1	2	yes	—
313	C₃×#103	C₂³	1	1	yes	characteristic
314	C₃×#103	C₂³	1	2	yes	—
315	C₃×#103	C₂³	1	2	yes	—
316	C₃×#102	C₂³	1	1	yes	characteristic
317	C₃×#102	C₂³	1	2	yes	—
318	C₃×#102	C₂³	1	1	yes	characteristic
319	C₃×#102	C₂³	1	2	yes	—
320	C₃×#102	C₂³	1	1	yes	characteristic
321	C₃×#102	C₂³	1	1	yes	characteristic
322	C₃×#102	C₂³	1	1	yes	characteristic
323	C₃×#102	C₂³	1	1	yes	characteristic
324	C₃×#102	C₂³	1	2	yes	—
325	C₃×#102	C₂³	1	2	yes	—
326	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
328	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
329	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
330	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
331	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
332	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
333	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
334	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
335	C₃×C₄×C₈	C₂³	1	2	yes	—
336	#562	—	2	2	no	—
337	#559	—	2	2	no	—
338	#556	—	2	1	no	—
339	#555	—	2	1	no	—
340	#555	C₂²×C₃	1	1	yes	characteristic
341	#555	C₂²×C₃	1	1	yes	characteristic
342	#555	C₂²×C₃	1	1	yes	characteristic, complemented
343	#554	C₂²×C₃	1	1	yes	characteristic, complemented
344	#553	—	2	1	no	—
345	#553	C₂²×C₃	1	2	yes	—
346	#553	C₂²×C₃	1	2	yes	—
347	#552	C₂²×C₃	1	2	yes	complemented
348	#550	—	2	1	no	—
349	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
350	#548	C₂²×C₃	1	2	yes	complemented
351	#547	C₂²×C₃	1	1	yes	characteristic
352	#547	C₂²×C₃	1	1	yes	characteristic
353	#547	C₂²×C₃	1	1	yes	characteristic, complemented
354	#544	—	2	1	no	—
355	#542	—	2	2	no	—
356	#540	—	2	1	no	—
357	#538	—	2	2	no	—
358	#537	C₂²×C₃	1	2	yes	—
359	#536	C₂²×C₃	1	2	yes	—
360	#535	C₂²×C₃	1	2	yes	—
361	#533	C₂²×C₃	1	1	yes	characteristic
362	#533	C₂²×C₃	1	1	yes	characteristic
363	#532	C₂²×C₃	1	1	yes	characteristic
364	#529	C₂²×C₃	1	1	yes	characteristic
365	#525	—	2	1	no	—
366	#525	—	2	1	no	—
367	#520	C₂²×C₃	1	2	yes	—
368	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
369	#500	C₂²×C₃	1	1	yes	characteristic, complemented
370	#499	C₂²×C₃	1	2	yes	complemented
371	#498	C₂²×C₃	1	1	yes	characteristic, complemented
372	#488	C₂²×C₃	1	2	yes	complemented
373	#487	C₂²×C₃	1	1	yes	characteristic, complemented
374	#487	C₂²×C₃	1	1	yes	characteristic, complemented
375	#485	C₂²×C₃	1	2	yes	—
376	#485	C₂²×C₃	1	2	yes	—
377	#485	C₂²×C₃	1	2	yes	—
378	#485	C₂²×C₃	1	2	yes	complemented
379	#485	C₂²×C₃	1	2	yes	complemented
380	#485	C₂²×C₃	1	2	yes	complemented
381	#484	C₂²×C₃	1	1	yes	characteristic
382	#484	C₂²×C₃	1	2	yes	complemented
383	#483	C₂²×C₃	1	2	yes	—
384	#483	C₂²×C₃	1	2	yes	complemented
385	#483	C₂²×C₃	1	2	yes	complemented
386	#482	C₂²×C₃	1	2	yes	—
387	#482	C₂²×C₃	1	2	yes	—
388	#482	C₂²×C₃	1	2	yes	—
389	#482	C₂²×C₃	1	2	yes	complemented
390	#481	C₂²×C₃	1	2	yes	—
391	#481	C₂²×C₃	1	1	yes	characteristic
392	#481	C₂²×C₃	1	2	yes	complemented
393	#480	C₂²×C₃	1	2	yes	—
394	#479	C₂²×C₃	1	2	yes	complemented
395	#479	C₂²×C₃	1	2	yes	complemented
396	#478	C₂²×C₃	1	1	yes	characteristic
397	#478	C₂²×C₃	1	1	yes	characteristic
398	#477	C₂²×C₃	1	1	yes	characteristic, complemented
399	#476	C₂²×C₃	1	1	yes	characteristic
400	#476	C₂²×C₃	1	1	yes	characteristic
401	#476	C₂²×C₃	1	1	yes	characteristic, complemented
402	#475	C₂²×C₃	1	1	yes	characteristic, complemented
403	#474	C₂²×C₃	1	1	yes	characteristic, complemented
404	#469	C₂²×C₃	1	2	yes	—
405	#468	C₂²×C₃	1	2	yes	—
406	#468	C₂²×C₃	1	2	yes	—
407	#468	C₂²×C₃	1	2	yes	—
408	#466	C₂²×C₃	1	2	yes	—
409	#465	C₂²×C₃	1	2	yes	—
410	#465	C₂²×C₃	1	2	yes	—
411	#465	C₂²×C₃	1	2	yes	—
412	#463	C₂²×C₃	1	1	yes	characteristic
413	#463	C₂²×C₃	1	1	yes	characteristic
414	#461	C₂²×C₃	1	1	yes	characteristic
415	#461	C₂²×C₃	1	1	yes	characteristic
416	#450	C₂²×C₃	1	2	yes	—
417	#450	C₂²×C₃	1	1	yes	characteristic
418	#449	C₂²×C₃	1	2	yes	—
419	#449	C₂²×C₃	1	2	yes	—
420	#448	C₂²×C₃	1	2	yes	—
421	#448	C₂²×C₃	1	2	yes	—
422	#447	C₂²×C₃	1	1	yes	characteristic
423	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
424	C₄×SD₁₆	C₂²×C₃	1	2	yes	—
425	C₄×SD₁₆	C₂²×C₃	1	2	yes	—
426	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
427	C₄×D₈	C₂²×C₃	1	1	yes	characteristic
428	C₄×D₈	C₂²×C₃	1	1	yes	characteristic
429	#436	C₂²×C₃	1	1	yes	characteristic, complemented
430	#436	C₂²×C₃	1	1	yes	characteristic, complemented
431	#436	C₂²×C₃	1	2	yes	complemented
432	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
433	C₈×D₄	C₂²×C₃	1	2	yes	complemented
434	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
435	#431	C₂²×C₃	1	1	yes	characteristic
436	#431	C₂²×C₃	1	1	yes	characteristic
437	#428	C₂²×C₃	1	2	yes	complemented
438	#428	C₂²×C₃	1	2	yes	complemented
439	#427	C₂²×C₃	1	2	yes	complemented
440	C₂×#106	C₂²×C₃	1	2	yes	complemented
441	#419	C₂²×C₃	1	2	yes	complemented
442	#417	C₂²×C₃	1	2	yes	complemented
443	#416	C₂²×C₃	1	2	yes	complemented
444	C₂×#103	C₂²×C₃	1	2	yes	complemented
445	#408	C₂²×C₃	1	2	yes	—
446	#408	C₂²×C₃	1	2	yes	—
447	C₂⁴×C₃	—	2	1	no	—
448	C₃×#41	—	4	2	no	—
449	C₃×#41	—	4	2	no	—
450	C₃×#41	—	4	2	no	—
451	C₃×#41	—	4	2	no	—
452	C₃×#41	—	8	2	no	—
453	C₃×#41	—	8	2	no	—
454	C₂×C₃×Q₈	—	2	1	no	—
455	C₂×C₃×Q₈	—	2	1	no	—
456	C₂×C₃×Q₈	—	2	1	no	—
457	C₂×C₃×Q₈	—	2	2	no	—
458	C₂×C₃×Q₈	—	4	2	no	—
459	C₂×C₃×Q₈	—	4	2	no	—
460	C₂×C₃×Q₈	C₂×D₄	1	2	yes	—
461	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
462	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
463	C₂×C₃×D₄	—	2	2	no	—
464	C₂×C₃×D₄	—	2	2	no	—
465	C₂×C₃×D₄	—	2	1	no	—
466	C₂×C₃×D₄	—	2	2	no	—
467	C₂×C₃×D₄	—	2	2	no	—
468	C₂×C₃×D₄	—	2	2	no	—
469	C₂×C₃×D₄	—	2	2	no	—
470	C₂×C₃×D₄	—	2	1	no	—
471	C₂×C₃×D₄	—	4	1	no	—
472	C₂×C₃×D₄	—	4	1	no	—
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	2	yes	—
476	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
477	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
478	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
479	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
480	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
481	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
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	2	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	1	no	—
490	C₂²×C₃×C₄	—	2	2	no	—
491	C₂²×C₃×C₄	—	2	1	no	—
492	C₂²×C₃×C₄	—	2	1	no	—
493	C₂²×C₃×C₄	—	8	2	no	—
494	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
495	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
496	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
497	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
498	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
499	C₃×SD₁₆	—	4	1	no	—
500	C₃×SD₁₆	—	4	2	no	—
501	C₃×SD₁₆	—	4	1	no	—
502	C₃×SD₁₆	—	4	2	no	—
503	C₃×D₈	—	4	1	no	—
504	C₃×D₈	—	4	1	no	—
505	C₃×M₁₆	—	4	2	no	—
506	C₃×M₁₆	—	4	2	no	—
507	C₂×C₃×C₈	—	4	2	no	—
508	C₂×C₃×C₈	—	4	2	no	—
509	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
510	C₂×C₃×C₈	C₂⁴	1	2	yes	—
511	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
512	C₂×C₃×C₈	C₂⁴	1	2	yes	—
513	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
515	C₃×C₄⋊C₄	—	2	1	no	—
516	C₃×C₄⋊C₄	—	2	2	no	—
517	C₃×C₄⋊C₄	—	2	1	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	1	no	—
522	C₃×C₄⋊C₄	—	2	1	no	—
523	C₃×C₄⋊C₄	—	2	1	no	—
524	C₃×C₄⋊C₄	—	2	2	no	—
525	C₃×C₄⋊C₄	—	2	1	no	—
526	C₃×C₄⋊C₄	—	2	1	no	—
527	C₃×C₄⋊C₄	—	2	2	no	—
528	C₃×C₄⋊C₄	—	2	2	no	—
529	C₃×C₄⋊C₄	—	2	2	no	—
530	C₃×C₄⋊C₄	—	2	2	no	—
531	C₃×C₄⋊C₄	—	2	1	no	—
532	C₃×C₄⋊C₄	—	2	1	no	—
533	C₃×C₄⋊C₄	—	2	2	no	—
534	C₃×C₄⋊C₄	—	2	1	no	—
535	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
536	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
537	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
538	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
539	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
540	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
541	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
542	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
543	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
544	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	no	—
554	C₃×C₂²⋊C₄	—	2	1	no	—
555	C₃×C₂²⋊C₄	—	2	1	no	—
556	C₃×C₂²⋊C₄	—	2	1	no	—
557	C₃×C₂²⋊C₄	—	2	1	no	—
558	C₃×C₂²⋊C₄	—	2	2	no	—
559	C₃×C₂²⋊C₄	—	2	2	no	—
560	C₃×C₂²⋊C₄	—	2	1	no	—
561	C₃×C₂²⋊C₄	—	2	1	no	—
562	C₃×C₂²⋊C₄	—	2	2	no	—
563	C₃×C₂²⋊C₄	—	2	1	no	—
564	C₃×C₂²⋊C₄	—	2	2	no	—
565	C₃×C₂²⋊C₄	—	2	2	no	—
566	C₃×C₂²⋊C₄	—	2	1	no	—
567	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
568	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
569	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
570	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
571	C₃×C₄²	—	2	2	no	—
572	C₃×C₄²	—	2	2	no	—
573	C₃×C₄²	—	2	2	no	—
574	C₃×C₄²	—	2	2	no	—
575	C₃×C₄²	—	2	1	no	—
576	C₃×C₄²	—	2	2	no	—
577	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
578	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
579	C₃×C₄²	C₂⁴	1	1	yes	characteristic
580	C₃×C₄²	C₂⁴	1	1	yes	characteristic
581	C₂×#41	—	2	1	no	—
582	C₂×#41	—	2	1	no	—
583	C₂×#41	C₂³×C₃	1	2	yes	—
584	C₂×#41	C₂³×C₃	1	2	yes	—
585	C₂²×Q₈	C₂³×C₃	1	2	yes	—
586	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
587	C₂³×C₄	—	2	1	no	—
588	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
589	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
590	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
591	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
592	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
593	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
594	C₂×M₁₆	C₂³×C₃	1	2	yes	—
595	C₂×M₁₆	C₂³×C₃	1	2	yes	—
596	C₂²×C₈	C₂³×C₃	1	2	yes	—
597	C₂²×C₈	C₂³×C₃	1	2	yes	—
598	C₄⋊Q₈	—	2	2	no	—
599	C₄⋊Q₈	—	2	1	no	—
600	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
601	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
602	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
603	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
604	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
605	#127	—	2	2	no	—
606	#127	C₃×D₄	1	1	yes	characteristic
607	#126	—	2	2	no	—
608	#126	—	2	2	no	—
609	#126	—	2	2	no	—
610	#126	—	2	1	no	—
611	#125	—	2	2	no	—
612	#125	—	2	1	no	—
613	#125	—	2	1	no	—
614	#125	C₂³×C₃	1	1	yes	characteristic
615	#125	C₂³×C₃	1	2	yes	—
616	#124	—	2	2	no	—
617	#124	—	2	2	no	—
618	#124	—	2	2	no	—
619	#124	—	2	2	no	—
620	#124	—	2	2	no	—
621	#124	—	2	2	no	—
622	#124	C₃×D₄	1	2	yes	—
623	#124	C₂³×C₃	1	1	yes	characteristic
624	#123	—	2	2	no	—
625	#123	—	2	2	no	—
626	#123	—	2	2	no	—
627	#123	—	2	1	no	—
628	#123	—	2	2	no	—
629	#123	—	2	2	no	—
630	#123	—	2	2	no	—
631	#123	—	2	2	no	—
632	#123	—	2	2	no	—
633	C₂²⋊Q₈	—	2	2	no	—
634	C₂²⋊Q₈	—	2	1	no	—
635	C₂²⋊Q₈	—	2	1	no	—
636	C₂²⋊Q₈	—	2	1	no	—
637	C₂²⋊Q₈	—	2	1	no	—
638	C₂²⋊Q₈	—	2	1	no	—
639	C₂²⋊Q₈	—	2	2	no	—
640	C₂²⋊Q₈	—	2	2	no	—
641	C₂²⋊Q₈	—	2	2	no	—
642	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
643	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
644	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
645	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
646	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
647	#121	—	2	1	no	—
648	#121	—	2	1	no	—
649	#121	—	2	2	no	—
650	#121	—	2	2	no	—
651	#121	—	2	2	no	—
652	#121	—	2	2	no	—
653	#121	—	2	2	no	—
654	#121	—	2	1	no	—
655	#121	—	2	2	no	—
656	#121	—	2	1	no	—
657	#121	C₃×D₄	1	1	yes	characteristic
658	#121	C₃×D₄	1	1	yes	characteristic
659	#121	C₃×D₄	1	2	yes	—
660	#121	C₂³×C₃	1	1	yes	characteristic
661	#121	C₂³×C₃	1	2	yes	—
662	#121	C₂³×C₃	1	2	yes	—
663	#121	C₂³×C₃	1	2	yes	—
664	#121	C₂³×C₃	1	2	yes	—
665	#121	C₂³×C₃	1	2	yes	—
666	#120	—	2	2	no	—
667	#120	—	2	2	no	—
668	C₄×Q₈	—	2	2	no	—
669	C₄×Q₈	—	2	1	no	—
670	C₄×Q₈	—	2	1	no	—
671	C₄×Q₈	—	2	1	no	—
672	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
673	C₄×Q₈	C₂³×C₃	1	2	yes	—
674	C₄×D₄	—	2	2	no	—
675	C₄×D₄	—	2	2	no	—
676	C₄×D₄	—	2	2	no	—
677	C₄×D₄	—	2	1	no	—
678	C₄×D₄	—	2	1	no	—
679	C₄×D₄	—	2	1	no	—
680	C₄×D₄	—	2	2	no	—
681	C₄×D₄	—	2	2	no	—
682	C₄×D₄	—	2	2	no	—
683	C₄×D₄	—	2	1	no	—
684	C₄×D₄	—	2	1	no	—
685	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
686	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
687	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
688	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
689	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
690	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
691	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
692	C₄×D₄	C₂³×C₃	1	2	yes	—
693	#117	—	2	1	no	—
694	#117	—	2	1	no	—
695	#117	—	2	1	no	—
696	#117	—	2	1	no	—
697	#117	—	2	2	no	—
698	#117	—	2	1	no	—
699	#117	C₂³×C₃	1	2	yes	—
700	#117	C₂³×C₃	1	2	yes	—
701	#117	C₂³×C₃	1	2	yes	—
702	#117	C₂³×C₃	1	2	yes	—
703	C₂×C₄⋊C₄	—	2	1	no	—
704	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
707	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
708	C₂×C₂²⋊C₄	—	2	1	no	—
709	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
710	#107	C₂³×C₃	1	1	yes	characteristic
711	#107	C₂³×C₃	1	2	yes	—
712	#107	C₂³×C₃	1	1	yes	characteristic
713	#107	C₂³×C₃	1	2	yes	—
714	#107	C₂³×C₃	1	2	yes	—
715	#107	C₂³×C₃	1	2	yes	—
716	#106	C₂³×C₃	1	1	yes	characteristic
717	#106	C₂³×C₃	1	2	yes	—
718	#106	C₂³×C₃	1	2	yes	—
719	#106	C₂³×C₃	1	2	yes	—
720	#106	C₂³×C₃	1	2	yes	—
721	#106	C₂³×C₃	1	2	yes	—
722	#106	C₂³×C₃	1	1	yes	characteristic
723	#106	C₂³×C₃	1	2	yes	—
724	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
725	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
726	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
727	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
728	#103	C₂³×C₃	1	1	yes	characteristic
729	#103	C₂³×C₃	1	2	yes	—
730	#103	C₂³×C₃	1	2	yes	—
731	#103	C₂³×C₃	1	2	yes	—
732	#103	C₂³×C₃	1	2	yes	—
733	#103	C₂³×C₃	1	2	yes	—
734	#103	C₂³×C₃	1	2	yes	—
735	#103	C₂³×C₃	1	1	yes	characteristic
736	#103	C₂³×C₃	1	2	yes	—
737	#103	C₂³×C₃	1	2	yes	—
738	#102	C₂³×C₃	1	1	yes	characteristic
739	#102	C₂³×C₃	1	2	yes	—
740	#102	C₂³×C₃	1	1	yes	characteristic
741	#102	C₂³×C₃	1	2	yes	—
742	#102	C₂³×C₃	1	1	yes	characteristic
743	#102	C₂³×C₃	1	1	yes	characteristic
744	#102	C₂³×C₃	1	1	yes	characteristic
745	#102	C₂³×C₃	1	1	yes	characteristic
746	#102	C₂³×C₃	1	2	yes	—
747	#102	C₂³×C₃	1	2	yes	—
748	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
749	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
750	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
751	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
752	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
753	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
754	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
755	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
756	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
757	C₄×C₈	C₂³×C₃	1	2	yes	—
758	C₂³×C₃	—	2	1	no	—
759	C₂³×C₃	—	2	1	no	—
760	C₂³×C₃	—	2	1	no	—
761	C₂³×C₃	—	4	2	no	—
762	C₂³×C₃	—	8	1	no	—
763	C₂³×C₃	—	8	1	no	—
764	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
765	C₂³×C₃	C₂²×D₄	1	2	yes	—
766	C₂³×C₃	C₂²×D₄	1	2	yes	—
767	C₃×Q₈	—	2	1	no	—
768	C₃×Q₈	—	2	1	no	—
769	C₃×Q₈	—	2	2	no	—
770	C₃×Q₈	—	2	2	no	—
771	C₃×Q₈	—	4	2	no	—
772	C₃×Q₈	—	4	2	no	—
773	C₃×Q₈	—	8	1	no	—
774	C₃×Q₈	—	8	1	no	—
775	C₃×Q₈	—	8	2	no	—
776	C₃×D₄	—	2	2	no	—
777	C₃×D₄	—	2	2	no	—
778	C₃×D₄	—	2	1	no	—
779	C₃×D₄	—	2	1	no	—
780	C₃×D₄	—	2	1	no	—
781	C₃×D₄	—	2	1	no	—
782	C₃×D₄	—	2	1	no	—
783	C₃×D₄	—	2	1	no	—
784	C₃×D₄	—	4	2	no	—
785	C₃×D₄	—	4	2	no	—
786	C₃×D₄	—	4	2	no	—
787	C₃×D₄	—	4	2	no	—
788	C₃×D₄	—	4	2	no	—
789	C₃×D₄	—	8	1	no	—
790	C₃×D₄	—	8	2	no	—
791	C₃×D₄	—	8	2	no	—
792	C₃×D₄	—	8	2	no	—
793	C₃×D₄	—	8	2	no	—
794	C₃×D₄	—	8	2	no	—
795	C₃×D₄	—	8	2	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	—	2	1	no	—
803	C₂×C₃×C₄	—	2	2	no	—
804	C₂×C₃×C₄	—	2	1	no	—
805	C₂×C₃×C₄	—	2	2	no	—
806	C₂×C₃×C₄	—	2	1	no	—
807	C₂×C₃×C₄	—	2	1	no	—
808	C₂×C₃×C₄	—	2	1	no	—
809	C₂×C₃×C₄	—	2	1	no	—
810	C₂×C₃×C₄	—	2	2	no	—
811	C₂×C₃×C₄	—	2	2	no	—
812	C₂×C₃×C₄	—	4	1	no	—
813	C₂×C₃×C₄	—	4	2	no	—
814	C₂×C₃×C₄	—	4	2	no	—
815	C₂×C₃×C₄	—	4	2	no	—
816	C₂×C₃×C₄	—	8	1	no	—
817	C₂×C₃×C₄	—	8	1	no	—
818	C₂×C₃×C₄	—	8	2	no	—
819	C₂×C₃×C₄	—	8	2	no	—
820	C₂×C₃×C₄	—	8	1	no	—
821	C₂×C₃×C₄	—	8	2	no	—
822	C₂×C₃×C₄	—	8	2	no	—
823	C₂×C₃×C₄	—	8	2	no	—
824	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
827	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
828	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
832	C₃×C₈	—	2	1	no	—
833	C₃×C₈	—	2	2	no	—
834	C₃×C₈	—	2	1	no	—
835	C₃×C₈	—	2	1	no	—
836	C₃×C₈	—	2	1	no	—
837	C₃×C₈	—	2	2	no	—
838	C₂⁴	—	2	1	no	—
839	#41	—	4	2	no	—
840	#41	—	4	2	no	—
841	#41	—	4	2	no	—
842	#41	—	4	2	no	—
843	#41	—	8	2	no	—
844	#41	—	8	2	no	—
845	C₂×Q₈	—	2	1	no	—
846	C₂×Q₈	—	2	1	no	—
847	C₂×Q₈	—	2	1	no	—
848	C₂×Q₈	—	2	2	no	—
849	C₂×Q₈	—	4	2	no	—
850	C₂×Q₈	—	4	2	no	—
851	C₂×Q₈	C₂×C₃×D₄	1	2	yes	—
852	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
853	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
854	C₂×D₄	—	2	2	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	1	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	2	1	no	—
862	C₂×D₄	—	4	1	no	—
863	C₂×D₄	—	4	1	no	—
864	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
865	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
866	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
867	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
868	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
869	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
870	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
871	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
872	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	2	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	1	no	—
884	C₂²×C₄	—	8	2	no	—
885	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
886	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
889	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
890	SD₁₆	—	4	1	no	—
891	SD₁₆	—	4	2	no	—
892	SD₁₆	—	4	1	no	—
893	SD₁₆	—	4	2	no	—
894	D₈	—	4	1	no	—
895	D₈	—	4	1	no	—
896	M₁₆	—	4	2	no	—
897	M₁₆	—	4	2	no	—
898	C₂×C₈	—	4	2	no	—
899	C₂×C₈	—	4	2	no	—
900	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
901	C₂×C₈	C₂⁴×C₃	1	2	yes	—
902	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
903	C₂×C₈	C₂⁴×C₃	1	2	yes	—
904	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
905	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	1	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	1	no	—
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
927	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
928	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
929	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
930	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
931	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
932	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
933	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
934	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
935	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	1	no	—
945	C₂²⋊C₄	—	2	1	no	—
946	C₂²⋊C₄	—	2	1	no	—
947	C₂²⋊C₄	—	2	1	no	—
948	C₂²⋊C₄	—	2	1	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	1	no	—
952	C₂²⋊C₄	—	2	1	no	—
953	C₂²⋊C₄	—	2	2	no	—
954	C₂²⋊C₄	—	2	1	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
959	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
960	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
961	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
962	C₄²	—	2	2	no	—
963	C₄²	—	2	2	no	—
964	C₄²	—	2	2	no	—
965	C₄²	—	2	2	no	—
966	C₄²	—	2	1	no	—
967	C₄²	—	2	2	no	—
968	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
969	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
970	C₄²	C₂⁴×C₃	1	1	yes	characteristic
971	C₄²	C₂⁴×C₃	1	1	yes	characteristic
972	C₂²×C₃	—	2	1	no	—
973	C₂²×C₃	—	2	2	no	—
974	C₂²×C₃	—	2	2	no	—
975	C₂²×C₃	—	2	2	no	—
976	C₂²×C₃	—	2	1	no	—
977	C₂²×C₃	—	2	2	no	—
978	C₂²×C₃	—	2	1	no	—
979	C₂²×C₃	—	2	2	no	—
980	C₂²×C₃	—	2	2	no	—
981	C₂²×C₃	—	4	1	no	—
982	C₂²×C₃	—	4	1	no	—
983	C₂²×C₃	—	4	1	no	—
984	C₂²×C₃	—	4	1	no	—
985	C₂²×C₃	—	4	1	no	—
986	C₂²×C₃	—	4	1	no	—
987	C₂²×C₃	—	4	1	no	—
988	C₂²×C₃	—	4	1	no	—
989	C₂²×C₃	—	4	1	no	—
990	C₂²×C₃	—	8	4	no	—
991	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
992	C₃×C₄	—	2	1	no	—
993	C₃×C₄	—	2	1	no	—
994	C₃×C₄	—	2	2	no	—
995	C₃×C₄	—	2	1	no	—
996	C₃×C₄	—	2	2	no	—
997	C₃×C₄	—	2	1	no	—
998	C₃×C₄	—	4	1	no	—
999	C₃×C₄	—	4	2	no	—
1000	C₃×C₄	—	4	2	no	—
1001	C₃×C₄	—	4	2	no	—
1002	C₃×C₄	—	4	1	no	—
1003	C₃×C₄	—	4	1	no	—
1004	C₃×C₄	—	4	1	no	—
1005	C₃×C₄	—	4	1	no	—
1006	C₃×C₄	—	4	2	no	—
1007	C₃×C₄	#577	1	2	yes	—
1008	C₃×C₄	#585	1	1	yes	characteristic
1009	C₃×C₄	#585	1	1	yes	characteristic
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	4	2	no	—
1014	C₂³	—	8	1	no	—
1015	C₂³	—	8	1	no	—
1016	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1017	C₂³	C₂²×C₃×D₄	1	2	yes	—
1018	C₂³	C₂²×C₃×D₄	1	2	yes	—
1019	Q₈	—	2	1	no	—
1020	Q₈	—	2	1	no	—
1021	Q₈	—	2	2	no	—
1022	Q₈	—	2	2	no	—
1023	Q₈	—	4	2	no	—
1024	Q₈	—	4	2	no	—
1025	Q₈	—	8	2	no	—
1026	Q₈	—	8	1	no	—
1027	Q₈	—	8	1	no	—
1028	D₄	—	2	2	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	2	1	no	—
1032	D₄	—	2	1	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	2	1	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	4	2	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	2	no	—
1043	D₄	—	8	2	no	—
1044	D₄	—	8	1	no	—
1045	D₄	—	8	2	no	—
1046	D₄	—	8	2	no	—
1047	D₄	—	8	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	4	1	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	4	2	no	—
1068	C₂×C₄	—	8	1	no	—
1069	C₂×C₄	—	8	1	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	—	8	1	no	—
1072	C₂×C₄	—	8	2	no	—
1073	C₂×C₄	—	8	2	no	—
1074	C₂×C₄	—	8	2	no	—
1075	C₂×C₄	—	8	2	no	—
1076	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1077	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1078	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1079	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1080	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1081	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1082	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1083	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1084	C₈	—	2	1	no	—
1085	C₈	—	2	2	no	—
1086	C₈	—	2	1	no	—
1087	C₈	—	2	1	no	—
1088	C₈	—	2	1	no	—
1089	C₈	—	2	2	no	—
1090	C₂×C₃	—	4	2	no	—
1091	C₂×C₃	—	4	2	no	—
1092	C₂×C₃	—	4	1	no	—
1093	C₂×C₃	—	8	1	no	—
1094	C₂×C₃	—	8	1	no	—
1095	C₂×C₃	—	8	1	no	—
1096	C₂×C₃	#3485	1	1	yes	characteristic
1097	C₂×C₃	C₂×#577	1	1	yes	characteristic
1098	C₂×C₃	#3584	1	1	yes	characteristic
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	2	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	2	1	no	—
1106	C₂²	—	2	2	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	8	4	no	—
1118	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1119	C₄	—	2	2	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	2	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	4	2	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	2	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	2	no	—
1134	C₄	C₃×#577	1	2	yes	—
1135	C₄	C₃×#585	1	1	yes	characteristic
1136	C₄	C₃×#585	1	1	yes	characteristic
1137	C₃	#61785	1	1	yes	characteristic, direct product factor, Sylow
1138	C₂	—	4	1	no	—
1139	C₂	—	4	2	no	—
1140	C₂	—	4	2	no	—
1141	C₂	—	8	1	no	—
1142	C₂	—	8	1	no	—
1143	C₂	—	8	1	no	—
1144	C₂	C₃×#3485	1	1	yes	characteristic
1145	C₂	C₂×C₃×#577	1	1	yes	characteristic
1146	C₂	C₃×#3584	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3547	C₂	semidirect
2. C₃×#3506	C₂	semidirect
3. C₃×#3357	C₂	semidirect
4. C₃×#3354	C₂	semidirect
5. C₃×#3351	C₂	semidirect
6. C₃×#3341	C₂	semidirect
7. C₃×#3337	C₂	semidirect
8. C₃×#3335	C₂	semidirect
9. C₃×#3330	C₂	semidirect
10. C₃×#3329	C₂	semidirect
11. C₃×#3326	C₂	semidirect
12. C₃×#3303	C₂	semidirect
13. C₃×#3301	C₂	semidirect
14. C₃×#3298	C₂	semidirect
15. C₃×#3233	C₂	semidirect
16. C₃×#3231	C₂	semidirect
17. C₃×#3200	C₂	semidirect
18. C₃×#3198	C₂	semidirect
19. C₃×#3105	C₂	semidirect
20. C₃×#3101	C₂	semidirect
21. C₃×#3099	C₂	semidirect
22. C₃×#3097	C₂	semidirect
23. C₃×#2979	C₂	semidirect
24. #61785	C₃	direct (N × H)
31. C₃×#555	C₂²	semidirect
32. C₃×#554	C₂²	semidirect
36. C₃×#552	C₂²	semidirect
38. C₃×D₄×Q₈	C₂²	semidirect
39. C₃×#548	C₂²	semidirect
42. C₃×#547	C₂²	semidirect
58. C₃×#500	C₂²	semidirect
59. C₃×#499	C₂²	semidirect
60. C₃×#498	C₂²	semidirect
61. C₃×#488	C₂²	semidirect
62. C₃×#487	C₂²	semidirect
63. C₃×#487	C₂²	semidirect
67. C₃×#485	C₂²	semidirect
68. C₃×#485	C₂²	semidirect
69. C₃×#485	C₂²	semidirect
71. C₃×#484	C₂²	semidirect
73. C₃×#483	C₂²	semidirect
74. C₃×#483	C₂²	semidirect
78. C₃×#482	C₂²	semidirect
81. C₃×#481	C₂²	semidirect
83. C₃×#479	C₂²	semidirect
84. C₃×#479	C₂²	semidirect
87. C₃×#477	C₂²	semidirect
90. C₃×#476	C₂²	semidirect
91. C₃×#475	C₂²	semidirect
92. C₃×#474	C₂²	semidirect
118. C₃×#436	C₂²	semidirect
119. C₃×#436	C₂²	semidirect
120. C₃×#436	C₂²	semidirect
121. C₃×C₈×D₄	C₂²	semidirect
122. C₃×C₈×D₄	C₂²	semidirect
123. C₃×C₈×D₄	C₂²	semidirect
126. C₃×#428	C₂²	semidirect
127. C₃×#428	C₂²	semidirect
128. C₃×#427	C₂²	semidirect
129. C₂×C₃×#106	C₂²	semidirect
130. C₃×#419	C₂²	semidirect
131. C₃×#417	C₂²	semidirect
132. C₃×#416	C₂²	semidirect
133. C₂×C₃×#103	C₂²	semidirect
136. #3547	C₂×C₃	semidirect
137. #3506	C₂×C₃	semidirect
138. #3357	C₂×C₃	semidirect
139. #3354	C₂×C₃	semidirect
140. #3351	C₂×C₃	semidirect
141. #3341	C₂×C₃	semidirect
142. #3337	C₂×C₃	semidirect
143. #3335	C₂×C₃	semidirect
144. #3330	C₂×C₃	semidirect
145. #3329	C₂×C₃	semidirect
146. #3326	C₂×C₃	semidirect
147. #3303	C₂×C₃	semidirect
148. #3301	C₂×C₃	semidirect
149. #3298	C₂×C₃	semidirect
150. #3233	C₂×C₃	semidirect
151. #3231	C₂×C₃	semidirect
152. #3200	C₂×C₃	semidirect
153. #3198	C₂×C₃	semidirect
154. #3105	C₂×C₃	semidirect
155. #3101	C₂×C₃	semidirect
156. #3099	C₂×C₃	semidirect
157. #3097	C₂×C₃	semidirect
158. #2979	C₂×C₃	semidirect
342. #555	C₂²×C₃	semidirect
343. #554	C₂²×C₃	semidirect
347. #552	C₂²×C₃	semidirect
349. D₄×Q₈	C₂²×C₃	semidirect
350. #548	C₂²×C₃	semidirect
353. #547	C₂²×C₃	semidirect
369. #500	C₂²×C₃	semidirect
370. #499	C₂²×C₃	semidirect
371. #498	C₂²×C₃	semidirect
372. #488	C₂²×C₃	semidirect
373. #487	C₂²×C₃	semidirect
374. #487	C₂²×C₃	semidirect
378. #485	C₂²×C₃	semidirect
379. #485	C₂²×C₃	semidirect
380. #485	C₂²×C₃	semidirect
382. #484	C₂²×C₃	semidirect
384. #483	C₂²×C₃	semidirect
385. #483	C₂²×C₃	semidirect
389. #482	C₂²×C₃	semidirect
392. #481	C₂²×C₃	semidirect
394. #479	C₂²×C₃	semidirect
395. #479	C₂²×C₃	semidirect
398. #477	C₂²×C₃	semidirect
401. #476	C₂²×C₃	semidirect
402. #475	C₂²×C₃	semidirect
403. #474	C₂²×C₃	semidirect
429. #436	C₂²×C₃	semidirect
430. #436	C₂²×C₃	semidirect
431. #436	C₂²×C₃	semidirect
432. C₈×D₄	C₂²×C₃	semidirect
433. C₈×D₄	C₂²×C₃	semidirect
434. C₈×D₄	C₂²×C₃	semidirect
437. #428	C₂²×C₃	semidirect
438. #428	C₂²×C₃	semidirect
439. #427	C₂²×C₃	semidirect
440. C₂×#106	C₂²×C₃	semidirect
441. #419	C₂²×C₃	semidirect
442. #417	C₂²×C₃	semidirect
443. #416	C₂²×C₃	semidirect
444. C₂×#103	C₂²×C₃	semidirect
1137. C₃	#61785	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×#3547	2
C₃×#3506	2
C₃×#3357	2
C₃×#3354	2
C₃×#3351	2
C₃×#3341	2
C₃×#3337	2
C₃×#3335	2
C₃×#3330	2
C₃×#3329	2
C₃×#3326	2
C₃×#3303	2
C₃×#3301	2
C₃×#3298	2
C₃×#3233	2
C₃×#3231	2
C₃×#3200	2
C₃×#3198	2
C₃×#3105	2
C₃×#3101	2
C₃×#3099	2
C₃×#3097	2
C₃×#2979	2
#61785	3

Subgroups — C3×#61785 #10680392

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61785 #10680392