Subgroups — C₃×#60586 #10679193

Order 768.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3428	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3127	C₂	1	2	yes	maximal, complemented
4	C₃×#3123	C₂	1	2	yes	maximal, complemented
5	C₃×#3121	C₂	1	2	yes	maximal, complemented
6	C₃×#3118	C₂	1	2	yes	maximal, complemented
7	C₃×#3116	C₂	1	2	yes	maximal, complemented
8	C₃×#3111	C₂	1	2	yes	maximal, complemented
9	C₃×#3107	C₂	1	2	yes	maximal, complemented
10	C₃×#3102	C₂	1	2	yes	maximal, complemented
11	C₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3002	C₂	1	1	yes	maximal, characteristic
19	C₃×#2952	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2951	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	#60586	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
26	C₂×C₃×#137	C₂²	1	1	yes	characteristic
27	C₂×C₃×#137	C₂²	1	1	yes	characteristic
28	C₂×C₃×#135	C₂²	1	1	yes	characteristic
29	C₂×C₃×#135	C₂²	1	1	yes	characteristic
30	C₃×#556	—	2	1	no	—
31	C₃×#554	—	2	1	no	—
32	C₃×#552	—	2	2	no	—
33	C₃×#552	—	2	1	no	—
34	C₃×#552	—	2	1	no	—
35	C₃×#551	—	2	2	no	—
36	C₃×#544	C₂²	1	1	yes	characteristic, complemented
37	C₃×#542	C₂²	1	2	yes	—
38	C₃×#541	C₂²	1	2	yes	—
39	C₃×#536	C₂²	1	1	yes	characteristic, complemented
40	C₃×#533	C₂²	1	2	yes	complemented
41	C₃×#529	C₂²	1	2	yes	complemented
42	C₃×#525	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₃×#520	—	2	1	no	—
45	C₃×#520	—	2	1	no	—
46	C₃×#520	C₂²	1	1	yes	characteristic
47	C₃×#520	C₂²	1	1	yes	characteristic
48	C₃×#520	C₂²	1	1	yes	characteristic
49	C₃×#520	C₂²	1	1	yes	characteristic
50	C₃×#520	C₂²	1	1	yes	characteristic, complemented
51	C₃×#519	C₂²	1	2	yes	—
52	C₃×#519	C₂²	1	1	yes	characteristic, complemented
53	C₃×#518	—	2	2	no	—
54	C₃×#518	C₂²	1	2	yes	—
55	C₃×C₄×#41	—	2	2	no	—
56	C₃×C₄×#41	C₂²	1	2	yes	—
57	C₃×C₄×#41	C₂²	1	2	yes	—
58	C₂×C₃×#117	—	2	1	no	—
59	C₂×C₃×#117	—	2	1	no	—
60	C₂×C₃×#117	C₂²	1	1	yes	characteristic
61	C₂×C₃×#117	C₂²	1	1	yes	characteristic
62	C₃×#485	C₂²	1	2	yes	—
63	C₃×#485	C₂²	1	2	yes	—
64	C₃×#485	C₂²	1	2	yes	—
65	C₃×#485	C₂²	1	2	yes	complemented
66	C₃×#485	C₂²	1	2	yes	complemented
67	C₃×#485	C₂²	1	2	yes	complemented
68	C₃×#482	C₂²	1	2	yes	—
69	C₃×#482	C₂²	1	2	yes	complemented
70	C₃×#479	C₂²	1	2	yes	complemented
71	C₃×#479	C₂²	1	2	yes	complemented
72	C₃×#478	C₂²	1	2	yes	complemented
73	C₃×#478	C₂²	1	2	yes	complemented
74	C₃×#477	C₂²	1	2	yes	complemented
75	C₃×#476	C₂²	1	2	yes	complemented
76	C₃×#475	C₂²	1	2	yes	complemented
77	C₃×#474	C₂²	1	2	yes	complemented
78	C₃×#464	C₂²	1	2	yes	complemented
79	C₃×#464	C₂²	1	2	yes	complemented
80	C₃×#463	C₂²	1	2	yes	complemented
81	C₃×#463	C₂²	1	2	yes	complemented
82	C₃×#462	C₂²	1	2	yes	complemented
83	C₃×#462	C₂²	1	2	yes	complemented
84	C₃×#461	C₂²	1	2	yes	complemented
85	C₃×#461	C₂²	1	2	yes	complemented
86	C₃×#452	C₂²	1	1	yes	characteristic
87	C₃×#452	C₂²	1	1	yes	characteristic
88	C₃×#452	C₂²	1	2	yes	—
89	C₃×#452	C₂²	1	2	yes	—
90	C₃×#451	C₂²	1	1	yes	characteristic
91	C₃×#451	C₂²	1	2	yes	—
92	C₃×#450	C₂²	1	1	yes	characteristic
93	C₃×#450	C₂²	1	2	yes	—
94	C₃×#449	C₂²	1	1	yes	characteristic
95	C₃×#449	C₂²	1	1	yes	characteristic
96	C₃×#448	C₂²	1	1	yes	characteristic
97	C₃×#447	C₂²	1	1	yes	characteristic
98	C₃×#442	C₂²	1	2	yes	complemented
99	C₃×#441	C₂²	1	2	yes	complemented
100	C₃×#441	C₂²	1	2	yes	complemented
101	C₃×#441	C₂²	1	2	yes	complemented
102	C₃×#440	C₂²	1	2	yes	complemented
103	C₃×#440	C₂²	1	2	yes	complemented
104	C₃×#440	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×Q₁₆	C₂²	1	2	yes	complemented
108	C₃×C₄×Q₁₆	C₂²	1	2	yes	complemented
109	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
110	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
111	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
112	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
113	C₃×C₄×D₈	C₂²	1	2	yes	complemented
114	C₃×#433	C₂²	1	2	yes	—
115	C₃×#433	C₂²	1	2	yes	—
116	C₃×#432	C₂²	1	2	yes	complemented
117	C₃×#431	C₂²	1	2	yes	complemented
118	C₃×#428	C₂²	1	1	yes	characteristic, complemented
119	C₃×#428	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₃×#107	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₃×#106	C₂²	1	1	yes	characteristic, complemented
122	C₃×#424	C₂²	1	1	yes	characteristic, complemented
123	C₃×#424	C₂²	1	1	yes	characteristic, complemented
124	C₃×#417	C₂²	1	1	yes	characteristic
125	C₃×#417	C₂²	1	1	yes	characteristic
126	C₃×#417	C₂²	1	1	yes	characteristic, complemented
127	C₃×#417	C₂²	1	1	yes	characteristic, complemented
128	C₃×#416	C₂²	1	1	yes	characteristic
129	C₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₃×#103	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₃×#103	C₂²	1	1	yes	characteristic, complemented
132	C₃×#407	C₂²	1	1	yes	characteristic
133	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
134	C₃×#405	C₂²	1	1	yes	characteristic, complemented
135	C₃×#405	C₂²	1	1	yes	characteristic, complemented
136	#3495	C₂×C₃	1	1	yes	characteristic, complemented
137	#3428	C₂×C₃	1	1	yes	characteristic, complemented
138	#3127	C₂×C₃	1	2	yes	complemented
139	#3123	C₂×C₃	1	2	yes	complemented
140	#3121	C₂×C₃	1	2	yes	complemented
141	#3118	C₂×C₃	1	2	yes	complemented
142	#3116	C₂×C₃	1	2	yes	complemented
143	#3111	C₂×C₃	1	2	yes	complemented
144	#3107	C₂×C₃	1	2	yes	complemented
145	#3102	C₂×C₃	1	2	yes	complemented
146	#3093	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂×#485	C₂×C₃	1	1	yes	characteristic, complemented
148	#3084	C₂×C₃	1	1	yes	characteristic, complemented
149	#3083	C₂×C₃	1	1	yes	characteristic, complemented
150	#3046	C₂×C₃	1	1	yes	characteristic, complemented
151	#3046	C₂×C₃	1	1	yes	characteristic, complemented
152	#3007	C₂×C₃	1	1	yes	characteristic, complemented
153	#3002	C₂×C₃	1	1	yes	characteristic
154	#2952	C₂×C₃	1	1	yes	characteristic, complemented
155	#2951	C₂×C₃	1	1	yes	characteristic, complemented
156	#2947	C₂×C₃	1	1	yes	characteristic, complemented
157	#2947	C₂×C₃	1	1	yes	characteristic, complemented
158	#2924	C₂×C₃	1	1	yes	characteristic, complemented
159	C₂×C₃×#41	—	2	4	no	—
160	C₂×C₃×#41	—	2	4	no	—
161	C₂×C₃×#41	—	2	1	no	—
162	C₂×C₃×#41	—	2	1	no	—
163	C₂×C₃×#41	C₂³	1	1	yes	characteristic
164	C₂×C₃×#41	C₂³	1	1	yes	characteristic
165	C₂×C₃×#41	C₂³	1	1	yes	characteristic
166	C₂×C₃×#41	C₂³	1	1	yes	characteristic
167	C₂×C₃×#41	C₂³	1	1	yes	characteristic
168	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
169	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
170	C₂²×C₃×D₄	—	2	1	no	—
171	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
172	C₂³×C₃×C₄	—	2	1	no	—
173	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
174	C₃×#137	—	2	4	no	—
175	C₃×#137	—	2	4	no	—
176	C₃×#135	—	2	4	no	—
177	C₃×#135	—	2	4	no	—
178	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
179	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
180	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
181	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
182	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
183	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
184	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
185	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
186	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
187	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
188	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
189	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
190	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
191	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
192	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
193	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
194	C₃×C₄⋊Q₈	—	2	1	no	—
195	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
196	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
197	C₃×#126	—	2	2	no	—
198	C₃×#126	—	2	2	no	—
199	C₃×#126	—	2	2	no	—
200	C₃×#126	—	2	2	no	—
201	C₃×#125	—	2	2	no	—
202	C₃×#125	—	2	2	no	—
203	C₃×#125	—	2	1	no	—
204	C₃×#125	—	2	2	no	—
205	C₃×#125	C₂³	1	2	yes	—
206	C₃×#124	—	2	2	no	—
207	C₃×#124	C₂³	1	2	yes	—
208	C₃×#123	—	2	1	no	—
209	C₃×#123	—	2	2	no	—
210	C₃×#123	—	2	2	no	—
211	C₃×#123	—	2	2	no	—
212	C₃×C₂²⋊Q₈	—	2	1	no	—
213	C₃×C₂²⋊Q₈	—	2	1	no	—
214	C₃×C₂²⋊Q₈	—	2	2	no	—
215	C₃×C₂²⋊Q₈	—	2	1	no	—
216	C₃×C₂²⋊Q₈	—	2	1	no	—
217	C₃×C₂²⋊Q₈	—	2	2	no	—
218	C₃×C₂²⋊Q₈	—	2	2	no	—
219	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₃×#121	C₂³	1	1	yes	characteristic
224	C₃×#121	C₂³	1	1	yes	characteristic
225	C₃×#120	—	2	1	no	—
226	C₃×C₄×Q₈	—	2	2	no	—
227	C₃×C₄×Q₈	—	2	2	no	—
228	C₃×C₄×Q₈	—	2	1	no	—
229	C₃×C₄×Q₈	—	2	1	no	—
230	C₃×C₄×Q₈	—	2	2	no	—
231	C₃×C₄×Q₈	C₂³	1	2	yes	—
232	C₃×C₄×Q₈	C₂³	1	2	yes	—
233	C₃×C₄×Q₈	C₂³	1	2	yes	—
234	C₃×C₄×Q₈	C₂³	1	2	yes	—
235	C₃×C₄×Q₈	C₂³	1	2	yes	—
236	C₃×C₄×Q₈	C₂³	1	2	yes	—
237	C₃×C₄×Q₈	C₂³	1	2	yes	—
238	C₃×C₄×D₄	—	2	2	no	—
239	C₃×C₄×D₄	—	2	2	no	—
240	C₃×C₄×D₄	—	2	2	no	—
241	C₃×C₄×D₄	—	2	2	no	—
242	C₃×C₄×D₄	—	2	1	no	—
243	C₃×C₄×D₄	—	2	1	no	—
244	C₃×C₄×D₄	—	2	2	no	—
245	C₃×C₄×D₄	—	2	2	no	—
246	C₃×C₄×D₄	—	2	2	no	—
247	C₃×C₄×D₄	—	2	2	no	—
248	C₃×C₄×D₄	—	2	2	no	—
249	C₃×C₄×D₄	—	2	2	no	—
250	C₃×C₄×D₄	—	2	2	no	—
251	C₃×C₄×D₄	—	2	2	no	—
252	C₃×C₄×D₄	C₂³	1	2	yes	—
253	C₃×C₄×D₄	C₂³	1	2	yes	—
254	C₃×C₄×D₄	C₂³	1	2	yes	—
255	C₃×C₄×D₄	C₂³	1	2	yes	—
256	C₃×C₄×D₄	C₂³	1	2	yes	—
257	C₃×#117	—	2	1	no	—
258	C₃×#117	—	2	1	no	—
259	C₃×#117	—	2	2	no	—
260	C₃×#117	—	2	1	no	—
261	C₃×#117	—	2	1	no	—
262	C₃×#117	—	2	1	no	—
263	C₃×#117	—	2	1	no	—
264	C₃×#117	—	2	1	no	—
265	C₃×#117	—	2	2	no	—
266	C₃×#117	—	2	2	no	—
267	C₃×#117	—	2	2	no	—
268	C₃×#117	—	2	2	no	—
269	C₃×#117	—	2	2	no	—
270	C₃×#117	—	2	2	no	—
271	C₃×#117	D₄	1	1	yes	characteristic
272	C₃×#117	D₄	1	1	yes	characteristic
273	C₃×#117	D₄	1	2	yes	—
274	C₃×#117	C₂³	1	1	yes	characteristic
275	C₃×#117	C₂³	1	2	yes	—
276	C₃×#117	C₂³	1	2	yes	—
277	C₃×#117	C₂³	1	1	yes	characteristic
278	C₃×#117	C₂³	1	1	yes	characteristic
279	C₃×#117	C₂³	1	2	yes	—
280	C₂×C₃×C₄⋊C₄	—	2	1	no	—
281	C₂×C₃×C₄⋊C₄	—	2	1	no	—
282	C₂×C₃×C₄⋊C₄	—	2	1	no	—
283	C₂×C₃×C₄⋊C₄	—	2	1	no	—
284	C₂×C₃×C₄⋊C₄	—	2	1	no	—
285	C₂×C₃×C₄⋊C₄	—	2	1	no	—
286	C₂×C₃×C₄⋊C₄	D₄	1	1	yes	characteristic
287	C₂×C₃×C₄⋊C₄	D₄	1	1	yes	characteristic
288	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
292	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
293	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
294	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
295	C₂×C₃×C₂²⋊C₄	D₄	1	2	yes	—
296	C₂×C₃×C₄²	—	2	1	no	—
297	C₂×C₃×C₄²	—	2	2	no	—
298	C₂×C₃×C₄²	—	2	2	no	—
299	C₂×C₃×C₄²	C₂³	1	2	yes	—
300	C₃×#107	C₂³	1	2	yes	—
301	C₃×#107	C₂³	1	2	yes	—
302	C₃×#107	C₂³	1	2	yes	—
303	C₃×#107	C₂³	1	2	yes	—
304	C₃×#106	C₂³	1	2	yes	—
305	C₃×#106	C₂³	1	2	yes	—
306	C₃×#106	C₂³	1	2	yes	—
307	C₃×#106	C₂³	1	2	yes	—
308	C₃×C₄⋊C₈	C₂³	1	2	yes	—
309	C₃×C₄⋊C₈	C₂³	1	2	yes	—
310	C₃×C₄⋊C₈	C₂³	1	2	yes	—
311	C₃×C₄⋊C₈	C₂³	1	2	yes	—
312	C₃×#103	C₂³	1	2	yes	—
313	C₃×#103	C₂³	1	2	yes	—
314	C₃×#103	C₂³	1	2	yes	—
315	C₃×#103	C₂³	1	2	yes	—
316	C₃×#103	C₂³	1	1	yes	characteristic
317	C₃×#103	C₂³	1	1	yes	characteristic
318	C₃×#103	C₂³	1	1	yes	characteristic
319	C₃×#103	C₂³	1	1	yes	characteristic
320	C₃×#103	C₂³	1	2	yes	—
321	C₃×#103	C₂³	1	2	yes	—
322	C₃×#103	C₂³	1	2	yes	—
323	C₃×#103	C₂³	1	2	yes	—
324	C₃×#102	C₂³	1	1	yes	characteristic
325	C₃×#102	C₂³	1	1	yes	characteristic
326	C₃×#102	C₂³	1	1	yes	characteristic
327	C₃×#102	C₂³	1	1	yes	characteristic
328	C₃×#102	C₂³	1	2	yes	—
329	C₃×#102	C₂³	1	2	yes	—
330	C₃×#102	C₂³	1	2	yes	—
331	C₃×#102	C₂³	1	2	yes	—
332	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₃×#97	C₂³	1	2	yes	—
339	C₃×#97	C₂³	1	2	yes	—
340	C₃×C₄×C₈	C₂³	1	2	yes	—
341	C₃×C₄×C₈	C₂³	1	2	yes	—
342	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
343	C₂×#137	C₂²×C₃	1	1	yes	characteristic
344	C₂×#137	C₂²×C₃	1	1	yes	characteristic
345	C₂×#135	C₂²×C₃	1	1	yes	characteristic
346	C₂×#135	C₂²×C₃	1	1	yes	characteristic
347	#556	—	2	1	no	—
348	#554	—	2	1	no	—
349	#552	—	2	2	no	—
350	#552	—	2	1	no	—
351	#552	—	2	1	no	—
352	#551	—	2	2	no	—
353	#544	C₂²×C₃	1	1	yes	characteristic, complemented
354	#542	C₂²×C₃	1	2	yes	—
355	#541	C₂²×C₃	1	2	yes	—
356	#536	C₂²×C₃	1	1	yes	characteristic, complemented
357	#533	C₂²×C₃	1	2	yes	complemented
358	#529	C₂²×C₃	1	2	yes	complemented
359	#525	C₂²×C₃	1	1	yes	characteristic
360	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
361	#520	—	2	1	no	—
362	#520	—	2	1	no	—
363	#520	C₂²×C₃	1	1	yes	characteristic
364	#520	C₂²×C₃	1	1	yes	characteristic
365	#520	C₂²×C₃	1	1	yes	characteristic
366	#520	C₂²×C₃	1	1	yes	characteristic
367	#520	C₂²×C₃	1	1	yes	characteristic, complemented
368	#519	C₂²×C₃	1	2	yes	—
369	#519	C₂²×C₃	1	1	yes	characteristic, complemented
370	#518	—	2	2	no	—
371	#518	C₂²×C₃	1	2	yes	—
372	C₄×#41	—	2	2	no	—
373	C₄×#41	C₂²×C₃	1	2	yes	—
374	C₄×#41	C₂²×C₃	1	2	yes	—
375	C₂×#117	—	2	1	no	—
376	C₂×#117	—	2	1	no	—
377	C₂×#117	C₂²×C₃	1	1	yes	characteristic
378	C₂×#117	C₂²×C₃	1	1	yes	characteristic
379	#485	C₂²×C₃	1	2	yes	—
380	#485	C₂²×C₃	1	2	yes	—
381	#485	C₂²×C₃	1	2	yes	—
382	#485	C₂²×C₃	1	2	yes	complemented
383	#485	C₂²×C₃	1	2	yes	complemented
384	#485	C₂²×C₃	1	2	yes	complemented
385	#482	C₂²×C₃	1	2	yes	—
386	#482	C₂²×C₃	1	2	yes	complemented
387	#479	C₂²×C₃	1	2	yes	complemented
388	#479	C₂²×C₃	1	2	yes	complemented
389	#478	C₂²×C₃	1	2	yes	complemented
390	#478	C₂²×C₃	1	2	yes	complemented
391	#477	C₂²×C₃	1	2	yes	complemented
392	#476	C₂²×C₃	1	2	yes	complemented
393	#475	C₂²×C₃	1	2	yes	complemented
394	#474	C₂²×C₃	1	2	yes	complemented
395	#464	C₂²×C₃	1	2	yes	complemented
396	#464	C₂²×C₃	1	2	yes	complemented
397	#463	C₂²×C₃	1	2	yes	complemented
398	#463	C₂²×C₃	1	2	yes	complemented
399	#462	C₂²×C₃	1	2	yes	complemented
400	#462	C₂²×C₃	1	2	yes	complemented
401	#461	C₂²×C₃	1	2	yes	complemented
402	#461	C₂²×C₃	1	2	yes	complemented
403	#452	C₂²×C₃	1	2	yes	—
404	#452	C₂²×C₃	1	1	yes	characteristic
405	#452	C₂²×C₃	1	2	yes	—
406	#452	C₂²×C₃	1	1	yes	characteristic
407	#451	C₂²×C₃	1	2	yes	—
408	#451	C₂²×C₃	1	1	yes	characteristic
409	#450	C₂²×C₃	1	2	yes	—
410	#450	C₂²×C₃	1	1	yes	characteristic
411	#449	C₂²×C₃	1	1	yes	characteristic
412	#449	C₂²×C₃	1	1	yes	characteristic
413	#448	C₂²×C₃	1	1	yes	characteristic
414	#447	C₂²×C₃	1	1	yes	characteristic
415	#442	C₂²×C₃	1	2	yes	complemented
416	#441	C₂²×C₃	1	2	yes	complemented
417	#441	C₂²×C₃	1	2	yes	complemented
418	#441	C₂²×C₃	1	2	yes	complemented
419	#440	C₂²×C₃	1	2	yes	complemented
420	#440	C₂²×C₃	1	2	yes	complemented
421	#440	C₂²×C₃	1	2	yes	complemented
422	#440	C₂²×C₃	1	2	yes	complemented
423	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
424	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
425	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
426	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
427	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
428	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
429	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
430	C₄×D₈	C₂²×C₃	1	2	yes	complemented
431	#433	C₂²×C₃	1	2	yes	—
432	#433	C₂²×C₃	1	2	yes	—
433	#432	C₂²×C₃	1	2	yes	complemented
434	#431	C₂²×C₃	1	2	yes	complemented
435	#428	C₂²×C₃	1	1	yes	characteristic, complemented
436	#428	C₂²×C₃	1	1	yes	characteristic, complemented
437	C₂×#107	C₂²×C₃	1	1	yes	characteristic, complemented
438	C₂×#106	C₂²×C₃	1	1	yes	characteristic, complemented
439	#424	C₂²×C₃	1	1	yes	characteristic, complemented
440	#424	C₂²×C₃	1	1	yes	characteristic, complemented
441	#417	C₂²×C₃	1	1	yes	characteristic
442	#417	C₂²×C₃	1	1	yes	characteristic
443	#417	C₂²×C₃	1	1	yes	characteristic, complemented
444	#417	C₂²×C₃	1	1	yes	characteristic, complemented
445	#416	C₂²×C₃	1	1	yes	characteristic
446	#416	C₂²×C₃	1	1	yes	characteristic
447	C₂×#103	C₂²×C₃	1	1	yes	characteristic, complemented
448	C₂×#103	C₂²×C₃	1	1	yes	characteristic, complemented
449	#407	C₂²×C₃	1	1	yes	characteristic
450	C₂×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
451	#405	C₂²×C₃	1	1	yes	characteristic, complemented
452	#405	C₂²×C₃	1	1	yes	characteristic, complemented
453	C₂⁴×C₃	—	2	1	no	—
454	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
455	C₃×#41	—	2	8	no	—
456	C₃×#41	—	2	8	no	—
457	C₃×#41	—	2	2	no	—
458	C₃×#41	—	2	2	no	—
459	C₃×#41	—	2	2	no	—
460	C₃×#41	—	2	2	no	—
461	C₃×#41	—	2	2	no	—
462	C₃×#41	—	2	2	no	—
463	C₃×#41	—	2	2	no	—
464	C₃×#41	—	2	2	no	—
465	C₃×#41	#41	1	4	yes	—
466	C₃×#41	#41	1	4	yes	—
467	C₂×C₃×Q₈	—	2	2	no	—
468	C₂×C₃×Q₈	—	2	2	no	—
469	C₂×C₃×Q₈	—	2	1	no	—
470	C₂×C₃×Q₈	—	2	1	no	—
471	C₂×C₃×Q₈	—	2	2	no	—
472	C₂×C₃×Q₈	—	2	2	no	—
473	C₂×C₃×Q₈	—	2	2	no	—
474	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
475	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
476	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
477	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
478	C₂×C₃×D₄	—	2	8	no	—
479	C₂×C₃×D₄	—	2	1	no	—
480	C₂×C₃×D₄	—	2	1	no	—
481	C₂×C₃×D₄	—	2	1	no	—
482	C₂×C₃×D₄	—	2	1	no	—
483	C₂×C₃×D₄	—	2	2	no	—
484	C₂×C₃×D₄	—	2	2	no	—
485	C₂×C₃×D₄	—	2	1	no	—
486	C₂×C₃×D₄	—	2	1	no	—
487	C₂×C₃×D₄	—	2	1	no	—
488	C₂×C₃×D₄	—	2	1	no	—
489	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
490	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
491	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
492	C₂²×C₃×C₄	—	2	8	no	—
493	C₂²×C₃×C₄	—	2	1	no	—
494	C₂²×C₃×C₄	—	2	1	no	—
495	C₂²×C₃×C₄	—	2	1	no	—
496	C₂²×C₃×C₄	—	2	1	no	—
497	C₂²×C₃×C₄	—	2	1	no	—
498	C₂²×C₃×C₄	—	2	2	no	—
499	C₂²×C₃×C₄	—	2	2	no	—
500	C₂²×C₃×C₄	—	2	1	no	—
501	C₂²×C₃×C₄	—	2	1	no	—
502	C₂²×C₃×C₄	—	2	1	no	—
503	C₂²×C₃×C₄	—	2	1	no	—
504	C₂²×C₃×C₄	—	2	1	no	—
505	C₂²×C₃×C₄	—	2	2	no	—
506	C₂²×C₃×C₄	—	2	2	no	—
507	C₂²×C₃×C₄	—	2	2	no	—
508	C₂²×C₃×C₄	—	2	2	no	—
509	C₂²×C₃×C₄	—	2	2	no	—
510	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
511	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
512	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
514	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
515	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
516	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
518	C₃×Q₁₆	—	2	2	no	—
519	C₃×Q₁₆	—	2	2	no	—
520	C₃×Q₁₆	—	2	4	no	—
521	C₃×Q₁₆	—	2	4	no	—
522	C₃×SD₁₆	—	2	2	no	—
523	C₃×SD₁₆	—	2	2	no	—
524	C₃×SD₁₆	—	2	2	no	—
525	C₃×SD₁₆	—	2	2	no	—
526	C₃×SD₁₆	—	2	4	no	—
527	C₃×SD₁₆	—	2	4	no	—
528	C₃×D₈	—	2	2	no	—
529	C₃×D₈	—	2	2	no	—
530	C₃×M₁₆	—	2	2	no	—
531	C₃×M₁₆	—	2	2	no	—
532	C₂×C₃×C₈	—	2	2	no	—
533	C₂×C₃×C₈	—	2	2	no	—
534	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₃×C₈	C₂⁴	1	2	yes	—
537	C₂×C₃×C₈	C₂⁴	1	2	yes	—
538	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
539	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
540	C₃×C₄⋊C₄	—	2	1	no	—
541	C₃×C₄⋊C₄	—	2	1	no	—
542	C₃×C₄⋊C₄	—	2	1	no	—
543	C₃×C₄⋊C₄	—	2	2	no	—
544	C₃×C₄⋊C₄	—	2	2	no	—
545	C₃×C₄⋊C₄	—	2	2	no	—
546	C₃×C₄⋊C₄	—	2	2	no	—
547	C₃×C₄⋊C₄	—	2	2	no	—
548	C₃×C₄⋊C₄	—	2	2	no	—
549	C₃×C₄⋊C₄	—	2	2	no	—
550	C₃×C₄⋊C₄	—	2	2	no	—
551	C₃×C₄⋊C₄	—	2	2	no	—
552	C₃×C₄⋊C₄	—	2	2	no	—
553	C₃×C₄⋊C₄	—	2	2	no	—
554	C₃×C₄⋊C₄	—	2	2	no	—
555	C₃×C₄⋊C₄	—	2	1	no	—
556	C₃×C₄⋊C₄	—	2	2	no	—
557	C₃×C₄⋊C₄	—	2	1	no	—
558	C₃×C₄⋊C₄	—	2	2	no	—
559	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
560	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
561	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
562	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
563	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
564	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
565	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
566	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
567	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
568	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
569	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₃×C₂²⋊C₄	—	2	2	no	—
571	C₃×C₂²⋊C₄	—	2	2	no	—
572	C₃×C₂²⋊C₄	—	2	2	no	—
573	C₃×C₂²⋊C₄	—	2	2	no	—
574	C₃×C₂²⋊C₄	—	2	1	no	—
575	C₃×C₂²⋊C₄	—	2	1	no	—
576	C₃×C₂²⋊C₄	—	2	1	no	—
577	C₃×C₂²⋊C₄	—	2	2	no	—
578	C₃×C₂²⋊C₄	—	2	2	no	—
579	C₃×C₂²⋊C₄	—	2	2	no	—
580	C₃×C₂²⋊C₄	—	2	2	no	—
581	C₃×C₂²⋊C₄	—	2	1	no	—
582	C₃×C₂²⋊C₄	—	2	2	no	—
583	C₃×C₂²⋊C₄	—	2	2	no	—
584	C₃×C₂²⋊C₄	—	2	1	no	—
585	C₃×C₂²⋊C₄	—	2	2	no	—
586	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
587	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
588	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
589	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
590	C₃×C₄²	—	2	2	no	—
591	C₃×C₄²	—	2	2	no	—
592	C₃×C₄²	—	2	2	no	—
593	C₃×C₄²	—	2	2	no	—
594	C₃×C₄²	—	2	2	no	—
595	C₃×C₄²	—	2	2	no	—
596	C₃×C₄²	—	2	2	no	—
597	C₃×C₄²	—	2	2	no	—
598	C₃×C₄²	—	2	2	no	—
599	C₃×C₄²	—	2	1	no	—
600	C₃×C₄²	C₂×D₄	1	2	yes	—
601	C₃×C₄²	C₂×D₄	1	2	yes	—
602	C₃×C₄²	C₂⁴	1	2	yes	—
603	C₃×C₄²	C₂⁴	1	2	yes	—
604	C₂×#41	—	2	4	no	—
605	C₂×#41	—	2	4	no	—
606	C₂×#41	—	2	1	no	—
607	C₂×#41	—	2	1	no	—
608	C₂×#41	C₂³×C₃	1	1	yes	characteristic
609	C₂×#41	C₂³×C₃	1	1	yes	characteristic
610	C₂×#41	C₂³×C₃	1	1	yes	characteristic
611	C₂×#41	C₂³×C₃	1	1	yes	characteristic
612	C₂×#41	C₂³×C₃	1	1	yes	characteristic
613	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
614	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
615	C₂²×D₄	—	2	1	no	—
616	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
617	C₂³×C₄	—	2	1	no	—
618	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
619	#137	—	2	4	no	—
620	#137	—	2	4	no	—
621	#135	—	2	4	no	—
622	#135	—	2	4	no	—
623	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
624	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
625	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
626	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
627	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
628	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
629	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
630	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
631	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
632	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
633	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
634	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
635	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
636	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
637	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
638	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
639	C₄⋊Q₈	—	2	1	no	—
640	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
641	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
642	#126	—	2	2	no	—
643	#126	—	2	2	no	—
644	#126	—	2	2	no	—
645	#126	—	2	2	no	—
646	#125	—	2	2	no	—
647	#125	—	2	2	no	—
648	#125	—	2	1	no	—
649	#125	—	2	2	no	—
650	#125	C₂³×C₃	1	2	yes	—
651	#124	—	2	2	no	—
652	#124	C₂³×C₃	1	2	yes	—
653	#123	—	2	1	no	—
654	#123	—	2	2	no	—
655	#123	—	2	2	no	—
656	#123	—	2	2	no	—
657	C₂²⋊Q₈	—	2	1	no	—
658	C₂²⋊Q₈	—	2	1	no	—
659	C₂²⋊Q₈	—	2	2	no	—
660	C₂²⋊Q₈	—	2	1	no	—
661	C₂²⋊Q₈	—	2	1	no	—
662	C₂²⋊Q₈	—	2	2	no	—
663	C₂²⋊Q₈	—	2	2	no	—
664	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
665	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
666	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
667	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
668	#121	C₂³×C₃	1	1	yes	characteristic
669	#121	C₂³×C₃	1	1	yes	characteristic
670	#120	—	2	1	no	—
671	C₄×Q₈	—	2	2	no	—
672	C₄×Q₈	—	2	2	no	—
673	C₄×Q₈	—	2	1	no	—
674	C₄×Q₈	—	2	1	no	—
675	C₄×Q₈	—	2	2	no	—
676	C₄×Q₈	C₂³×C₃	1	2	yes	—
677	C₄×Q₈	C₂³×C₃	1	2	yes	—
678	C₄×Q₈	C₂³×C₃	1	2	yes	—
679	C₄×Q₈	C₂³×C₃	1	2	yes	—
680	C₄×Q₈	C₂³×C₃	1	2	yes	—
681	C₄×Q₈	C₂³×C₃	1	2	yes	—
682	C₄×Q₈	C₂³×C₃	1	2	yes	—
683	C₄×D₄	—	2	2	no	—
684	C₄×D₄	—	2	2	no	—
685	C₄×D₄	—	2	2	no	—
686	C₄×D₄	—	2	2	no	—
687	C₄×D₄	—	2	1	no	—
688	C₄×D₄	—	2	1	no	—
689	C₄×D₄	—	2	2	no	—
690	C₄×D₄	—	2	2	no	—
691	C₄×D₄	—	2	2	no	—
692	C₄×D₄	—	2	2	no	—
693	C₄×D₄	—	2	2	no	—
694	C₄×D₄	—	2	2	no	—
695	C₄×D₄	—	2	2	no	—
696	C₄×D₄	—	2	2	no	—
697	C₄×D₄	C₂³×C₃	1	2	yes	—
698	C₄×D₄	C₂³×C₃	1	2	yes	—
699	C₄×D₄	C₂³×C₃	1	2	yes	—
700	C₄×D₄	C₂³×C₃	1	2	yes	—
701	C₄×D₄	C₂³×C₃	1	2	yes	—
702	#117	—	2	1	no	—
703	#117	—	2	1	no	—
704	#117	—	2	2	no	—
705	#117	—	2	1	no	—
706	#117	—	2	1	no	—
707	#117	—	2	1	no	—
708	#117	—	2	1	no	—
709	#117	—	2	1	no	—
710	#117	—	2	2	no	—
711	#117	—	2	2	no	—
712	#117	—	2	2	no	—
713	#117	—	2	2	no	—
714	#117	—	2	2	no	—
715	#117	—	2	2	no	—
716	#117	C₃×D₄	1	1	yes	characteristic
717	#117	C₃×D₄	1	1	yes	characteristic
718	#117	C₃×D₄	1	2	yes	—
719	#117	C₂³×C₃	1	2	yes	—
720	#117	C₂³×C₃	1	2	yes	—
721	#117	C₂³×C₃	1	1	yes	characteristic
722	#117	C₂³×C₃	1	2	yes	—
723	#117	C₂³×C₃	1	1	yes	characteristic
724	#117	C₂³×C₃	1	1	yes	characteristic
725	C₂×C₄⋊C₄	—	2	1	no	—
726	C₂×C₄⋊C₄	—	2	1	no	—
727	C₂×C₄⋊C₄	—	2	1	no	—
728	C₂×C₄⋊C₄	—	2	1	no	—
729	C₂×C₄⋊C₄	—	2	1	no	—
730	C₂×C₄⋊C₄	—	2	1	no	—
731	C₂×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	—	2	1	no	—
737	C₂×C₂²⋊C₄	—	2	1	no	—
738	C₂×C₂²⋊C₄	—	2	2	no	—
739	C₂×C₂²⋊C₄	—	2	2	no	—
740	C₂×C₂²⋊C₄	C₃×D₄	1	2	yes	—
741	C₂×C₄²	—	2	1	no	—
742	C₂×C₄²	—	2	2	no	—
743	C₂×C₄²	—	2	2	no	—
744	C₂×C₄²	C₂³×C₃	1	2	yes	—
745	#107	C₂³×C₃	1	2	yes	—
746	#107	C₂³×C₃	1	2	yes	—
747	#107	C₂³×C₃	1	2	yes	—
748	#107	C₂³×C₃	1	2	yes	—
749	#106	C₂³×C₃	1	2	yes	—
750	#106	C₂³×C₃	1	2	yes	—
751	#106	C₂³×C₃	1	2	yes	—
752	#106	C₂³×C₃	1	2	yes	—
753	C₄⋊C₈	C₂³×C₃	1	2	yes	—
754	C₄⋊C₈	C₂³×C₃	1	2	yes	—
755	C₄⋊C₈	C₂³×C₃	1	2	yes	—
756	C₄⋊C₈	C₂³×C₃	1	2	yes	—
757	#103	C₂³×C₃	1	2	yes	—
758	#103	C₂³×C₃	1	2	yes	—
759	#103	C₂³×C₃	1	2	yes	—
760	#103	C₂³×C₃	1	2	yes	—
761	#103	C₂³×C₃	1	1	yes	characteristic
762	#103	C₂³×C₃	1	1	yes	characteristic
763	#103	C₂³×C₃	1	1	yes	characteristic
764	#103	C₂³×C₃	1	1	yes	characteristic
765	#103	C₂³×C₃	1	2	yes	—
766	#103	C₂³×C₃	1	2	yes	—
767	#103	C₂³×C₃	1	2	yes	—
768	#103	C₂³×C₃	1	2	yes	—
769	#102	C₂³×C₃	1	1	yes	characteristic
770	#102	C₂³×C₃	1	1	yes	characteristic
771	#102	C₂³×C₃	1	1	yes	characteristic
772	#102	C₂³×C₃	1	1	yes	characteristic
773	#102	C₂³×C₃	1	2	yes	—
774	#102	C₂³×C₃	1	2	yes	—
775	#102	C₂³×C₃	1	2	yes	—
776	#102	C₂³×C₃	1	2	yes	—
777	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
778	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
779	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
780	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
781	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
782	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
783	#97	C₂³×C₃	1	2	yes	—
784	#97	C₂³×C₃	1	2	yes	—
785	C₄×C₈	C₂³×C₃	1	2	yes	—
786	C₄×C₈	C₂³×C₃	1	2	yes	—
787	C₂³×C₃	—	2	4	no	—
788	C₂³×C₃	—	2	1	no	—
789	C₂³×C₃	—	2	1	no	—
790	C₂³×C₃	—	2	2	no	—
791	C₂³×C₃	—	2	1	no	—
792	C₂³×C₃	—	4	1	no	—
793	C₂³×C₃	—	4	1	no	—
794	C₂³×C₃	—	8	1	no	—
795	C₂³×C₃	—	8	1	no	—
796	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
797	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
798	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
799	C₃×Q₈	—	2	4	no	—
800	C₃×Q₈	—	2	1	no	—
801	C₃×Q₈	—	2	1	no	—
802	C₃×Q₈	—	2	2	no	—
803	C₃×Q₈	—	2	2	no	—
804	C₃×Q₈	—	2	1	no	—
805	C₃×Q₈	—	2	1	no	—
806	C₃×Q₈	—	4	2	no	—
807	C₃×Q₈	—	8	2	no	—
808	C₃×Q₈	C₂×#41	1	2	yes	—
809	C₃×Q₈	C₂×#41	1	2	yes	—
810	C₃×D₄	—	2	4	no	—
811	C₃×D₄	—	2	4	no	—
812	C₃×D₄	—	2	4	no	—
813	C₃×D₄	—	2	4	no	—
814	C₃×D₄	—	2	4	no	—
815	C₃×D₄	—	2	1	no	—
816	C₃×D₄	—	2	1	no	—
817	C₃×D₄	—	2	1	no	—
818	C₃×D₄	—	2	1	no	—
819	C₃×D₄	—	4	2	no	—
820	C₃×D₄	—	4	2	no	—
821	C₃×D₄	—	8	1	no	—
822	C₃×D₄	C₂×#41	1	2	yes	—
823	C₃×D₄	C₂×#41	1	2	yes	—
824	C₂×C₃×C₄	—	2	4	no	—
825	C₂×C₃×C₄	—	2	4	no	—
826	C₂×C₃×C₄	—	2	4	no	—
827	C₂×C₃×C₄	—	2	2	no	—
828	C₂×C₃×C₄	—	2	1	no	—
829	C₂×C₃×C₄	—	2	1	no	—
830	C₂×C₃×C₄	—	2	2	no	—
831	C₂×C₃×C₄	—	2	4	no	—
832	C₂×C₃×C₄	—	2	4	no	—
833	C₂×C₃×C₄	—	2	2	no	—
834	C₂×C₃×C₄	—	2	1	no	—
835	C₂×C₃×C₄	—	2	1	no	—
836	C₂×C₃×C₄	—	2	1	no	—
837	C₂×C₃×C₄	—	2	1	no	—
838	C₂×C₃×C₄	—	2	2	no	—
839	C₂×C₃×C₄	—	2	2	no	—
840	C₂×C₃×C₄	—	2	1	no	—
841	C₂×C₃×C₄	—	2	1	no	—
842	C₂×C₃×C₄	—	2	2	no	—
843	C₂×C₃×C₄	—	2	1	no	—
844	C₂×C₃×C₄	—	2	2	no	—
845	C₂×C₃×C₄	—	4	2	no	—
846	C₂×C₃×C₄	—	4	2	no	—
847	C₂×C₃×C₄	—	4	2	no	—
848	C₂×C₃×C₄	—	4	2	no	—
849	C₂×C₃×C₄	—	8	2	no	—
850	C₂×C₃×C₄	—	8	2	no	—
851	C₂×C₃×C₄	—	8	2	no	—
852	C₂×C₃×C₄	—	8	2	no	—
853	C₂×C₃×C₄	—	8	2	no	—
854	C₂×C₃×C₄	—	8	1	no	—
855	C₂×C₃×C₄	—	8	1	no	—
856	C₂×C₃×C₄	—	8	1	no	—
857	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
858	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
859	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
860	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
861	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
862	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
863	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₃×C₄	C₂×#41	1	2	yes	—
865	C₂×C₃×C₄	C₂×#41	1	2	yes	—
866	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
867	C₃×C₈	—	2	1	no	—
868	C₃×C₈	—	2	1	no	—
869	C₃×C₈	—	2	1	no	—
870	C₃×C₈	—	2	1	no	—
871	C₃×C₈	—	2	2	no	—
872	C₃×C₈	—	2	2	no	—
873	C₂⁴	—	2	1	no	—
874	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
875	#41	—	2	8	no	—
876	#41	—	2	8	no	—
877	#41	—	2	2	no	—
878	#41	—	2	2	no	—
879	#41	—	2	2	no	—
880	#41	—	2	2	no	—
881	#41	—	2	2	no	—
882	#41	—	2	2	no	—
883	#41	—	2	2	no	—
884	#41	—	2	2	no	—
885	#41	C₃×#41	1	4	yes	—
886	#41	C₃×#41	1	4	yes	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	—	2	1	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
895	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
896	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
897	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
898	C₂×D₄	—	2	8	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
910	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
911	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
912	C₂²×C₄	—	2	8	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	1	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	2	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	C₂×C₃×D₄	1	1	yes	characteristic
931	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
932	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
933	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
934	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
935	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
937	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
938	Q₁₆	—	2	2	no	—
939	Q₁₆	—	2	2	no	—
940	Q₁₆	—	2	4	no	—
941	Q₁₆	—	2	4	no	—
942	SD₁₆	—	2	2	no	—
943	SD₁₆	—	2	2	no	—
944	SD₁₆	—	2	2	no	—
945	SD₁₆	—	2	2	no	—
946	SD₁₆	—	2	4	no	—
947	SD₁₆	—	2	4	no	—
948	D₈	—	2	2	no	—
949	D₈	—	2	2	no	—
950	M₁₆	—	2	2	no	—
951	M₁₆	—	2	2	no	—
952	C₂×C₈	—	2	2	no	—
953	C₂×C₈	—	2	2	no	—
954	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
955	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
956	C₂×C₈	C₂⁴×C₃	1	2	yes	—
957	C₂×C₈	C₂⁴×C₃	1	2	yes	—
958	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
959	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
980	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
981	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
982	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
983	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
984	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
985	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
986	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
989	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
1009	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	2	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	C₂×C₃×D₄	1	2	yes	—
1021	C₄²	C₂×C₃×D₄	1	2	yes	—
1022	C₄²	C₂⁴×C₃	1	2	yes	—
1023	C₄²	C₂⁴×C₃	1	2	yes	—
1024	C₂²×C₃	—	2	1	no	—
1025	C₂²×C₃	—	2	1	no	—
1026	C₂²×C₃	—	2	1	no	—
1027	C₂²×C₃	—	2	1	no	—
1028	C₂²×C₃	—	2	1	no	—
1029	C₂²×C₃	—	2	1	no	—
1030	C₂²×C₃	—	2	1	no	—
1031	C₂²×C₃	—	2	1	no	—
1032	C₂²×C₃	—	2	2	no	—
1033	C₂²×C₃	—	2	2	no	—
1034	C₂²×C₃	—	4	1	no	—
1035	C₂²×C₃	—	4	1	no	—
1036	C₂²×C₃	—	4	1	no	—
1037	C₂²×C₃	—	4	1	no	—
1038	C₂²×C₃	—	4	1	no	—
1039	C₂²×C₃	—	4	1	no	—
1040	C₂²×C₃	—	4	1	no	—
1041	C₂²×C₃	—	8	2	no	—
1042	C₂²×C₃	—	8	4	no	—
1043	C₂²×C₃	#525	1	2	yes	—
1044	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1045	C₃×C₄	—	2	2	no	—
1046	C₃×C₄	—	2	2	no	—
1047	C₃×C₄	—	2	2	no	—
1048	C₃×C₄	—	2	2	no	—
1049	C₃×C₄	—	2	1	no	—
1050	C₃×C₄	—	2	2	no	—
1051	C₃×C₄	—	2	2	no	—
1052	C₃×C₄	—	2	1	no	—
1053	C₃×C₄	—	4	2	no	—
1054	C₃×C₄	—	4	2	no	—
1055	C₃×C₄	—	4	1	no	—
1056	C₃×C₄	—	4	2	no	—
1057	C₃×C₄	—	4	1	no	—
1058	C₃×C₄	—	4	1	no	—
1059	C₃×C₄	—	4	2	no	—
1060	C₃×C₄	#525	1	2	yes	—
1061	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1062	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1063	C₂³	—	2	4	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	2	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	4	1	no	—
1069	C₂³	—	4	1	no	—
1070	C₂³	—	8	1	no	—
1071	C₂³	—	8	1	no	—
1072	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1073	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1074	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1075	Q₈	—	2	4	no	—
1076	Q₈	—	2	1	no	—
1077	Q₈	—	2	1	no	—
1078	Q₈	—	2	2	no	—
1079	Q₈	—	2	2	no	—
1080	Q₈	—	2	1	no	—
1081	Q₈	—	2	1	no	—
1082	Q₈	—	4	2	no	—
1083	Q₈	—	8	2	no	—
1084	Q₈	C₂×C₃×#41	1	2	yes	—
1085	Q₈	C₂×C₃×#41	1	2	yes	—
1086	D₄	—	2	4	no	—
1087	D₄	—	2	4	no	—
1088	D₄	—	2	4	no	—
1089	D₄	—	2	4	no	—
1090	D₄	—	2	4	no	—
1091	D₄	—	2	1	no	—
1092	D₄	—	2	1	no	—
1093	D₄	—	2	1	no	—
1094	D₄	—	2	1	no	—
1095	D₄	—	4	2	no	—
1096	D₄	—	4	2	no	—
1097	D₄	—	8	1	no	—
1098	D₄	C₂×C₃×#41	1	2	yes	—
1099	D₄	C₂×C₃×#41	1	2	yes	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	4	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	4	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	2	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	4	2	no	—
1122	C₂×C₄	—	4	2	no	—
1123	C₂×C₄	—	4	2	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	8	2	no	—
1126	C₂×C₄	—	8	2	no	—
1127	C₂×C₄	—	8	2	no	—
1128	C₂×C₄	—	8	2	no	—
1129	C₂×C₄	—	8	2	no	—
1130	C₂×C₄	—	8	1	no	—
1131	C₂×C₄	—	8	1	no	—
1132	C₂×C₄	—	8	1	no	—
1133	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1134	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1135	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1136	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1137	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1138	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1139	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1140	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1141	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1142	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1143	C₈	—	2	1	no	—
1144	C₈	—	2	1	no	—
1145	C₈	—	2	1	no	—
1146	C₈	—	2	1	no	—
1147	C₈	—	2	2	no	—
1148	C₈	—	2	2	no	—
1149	C₂×C₃	—	2	2	no	—
1150	C₂×C₃	—	4	1	no	—
1151	C₂×C₃	—	4	1	no	—
1152	C₂×C₃	—	4	2	no	—
1153	C₂×C₃	—	4	2	no	—
1154	C₂×C₃	—	8	1	no	—
1155	C₂×C₃	C₂×#525	1	1	yes	characteristic
1156	C₂×C₃	#3584	1	1	yes	characteristic
1157	C₂×C₃	#3586	1	1	yes	characteristic
1158	C₂²	—	2	1	no	—
1159	C₂²	—	2	1	no	—
1160	C₂²	—	2	1	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	2	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	1	no	—
1165	C₂²	—	2	1	no	—
1166	C₂²	—	2	1	no	—
1167	C₂²	—	2	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	1	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	4	1	no	—
1175	C₂²	—	8	2	no	—
1176	C₂²	—	8	4	no	—
1177	C₂²	C₃×#525	1	2	yes	—
1178	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1179	C₄	—	2	1	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	2	1	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	2	2	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	2	2	no	—
1187	C₄	—	4	1	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	2	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	1	no	—
1194	C₄	C₃×#525	1	2	yes	—
1195	C₄	C₂²×C₃×#41	1	1	yes	characteristic
1196	C₄	C₂²×C₃×#41	1	1	yes	characteristic
1197	C₃	#60586	1	1	yes	characteristic, direct product factor, Sylow
1198	C₂	—	2	2	no	—
1199	C₂	—	4	1	no	—
1200	C₂	—	4	1	no	—
1201	C₂	—	4	2	no	—
1202	C₂	—	4	2	no	—
1203	C₂	—	8	1	no	—
1204	C₂	C₂×C₃×#525	1	1	yes	characteristic
1205	C₂	C₃×#3584	1	1	yes	characteristic
1206	C₂	C₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
prime radical	C₃×#3002	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₂×C₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3495	C₂	semidirect
2. C₃×#3428	C₂	semidirect
3. C₃×#3127	C₂	semidirect
4. C₃×#3123	C₂	semidirect
5. C₃×#3121	C₂	semidirect
6. C₃×#3118	C₂	semidirect
7. C₃×#3116	C₂	semidirect
8. C₃×#3111	C₂	semidirect
9. C₃×#3107	C₂	semidirect
10. C₃×#3102	C₂	semidirect
11. C₃×#3093	C₂	semidirect
12. C₂×C₃×#485	C₂	semidirect
13. C₃×#3084	C₂	semidirect
14. C₃×#3083	C₂	semidirect
15. C₃×#3046	C₂	semidirect
16. C₃×#3046	C₂	semidirect
17. C₃×#3007	C₂	semidirect
19. C₃×#2952	C₂	semidirect
20. C₃×#2951	C₂	semidirect
21. C₃×#2947	C₂	semidirect
22. C₃×#2947	C₂	semidirect
23. C₃×#2924	C₂	semidirect
24. #60586	C₃	direct (N × H)
36. C₃×#544	C₂²	semidirect
39. C₃×#536	C₂²	semidirect
40. C₃×#533	C₂²	semidirect
41. C₃×#529	C₂²	semidirect
50. C₃×#520	C₂²	semidirect
52. C₃×#519	C₂²	semidirect
65. C₃×#485	C₂²	semidirect
66. C₃×#485	C₂²	semidirect
67. C₃×#485	C₂²	semidirect
69. C₃×#482	C₂²	semidirect
70. C₃×#479	C₂²	semidirect
71. C₃×#479	C₂²	semidirect
72. C₃×#478	C₂²	semidirect
73. C₃×#478	C₂²	semidirect
74. C₃×#477	C₂²	semidirect
75. C₃×#476	C₂²	semidirect
76. C₃×#475	C₂²	semidirect
77. C₃×#474	C₂²	semidirect
78. C₃×#464	C₂²	semidirect
79. C₃×#464	C₂²	semidirect
80. C₃×#463	C₂²	semidirect
81. C₃×#463	C₂²	semidirect
82. C₃×#462	C₂²	semidirect
83. C₃×#462	C₂²	semidirect
84. C₃×#461	C₂²	semidirect
85. C₃×#461	C₂²	semidirect
98. C₃×#442	C₂²	semidirect
99. C₃×#441	C₂²	semidirect
100. C₃×#441	C₂²	semidirect
101. C₃×#441	C₂²	semidirect
102. C₃×#440	C₂²	semidirect
103. C₃×#440	C₂²	semidirect
104. C₃×#440	C₂²	semidirect
105. C₃×#440	C₂²	semidirect
106. C₃×C₄×Q₁₆	C₂²	semidirect
107. C₃×C₄×Q₁₆	C₂²	semidirect
108. C₃×C₄×Q₁₆	C₂²	semidirect
109. C₃×C₄×SD₁₆	C₂²	semidirect
110. C₃×C₄×SD₁₆	C₂²	semidirect
111. C₃×C₄×SD₁₆	C₂²	semidirect
112. C₃×C₄×SD₁₆	C₂²	semidirect
113. C₃×C₄×D₈	C₂²	semidirect
116. C₃×#432	C₂²	semidirect
117. C₃×#431	C₂²	semidirect
118. C₃×#428	C₂²	semidirect
119. C₃×#428	C₂²	semidirect
120. C₂×C₃×#107	C₂²	semidirect
121. C₂×C₃×#106	C₂²	semidirect
122. C₃×#424	C₂²	semidirect
123. C₃×#424	C₂²	semidirect
126. C₃×#417	C₂²	semidirect
127. C₃×#417	C₂²	semidirect
130. C₂×C₃×#103	C₂²	semidirect
131. C₂×C₃×#103	C₂²	semidirect
134. C₃×#405	C₂²	semidirect
135. C₃×#405	C₂²	semidirect
136. #3495	C₂×C₃	semidirect
137. #3428	C₂×C₃	semidirect
138. #3127	C₂×C₃	semidirect
139. #3123	C₂×C₃	semidirect
140. #3121	C₂×C₃	semidirect
141. #3118	C₂×C₃	semidirect
142. #3116	C₂×C₃	semidirect
143. #3111	C₂×C₃	semidirect
144. #3107	C₂×C₃	semidirect
145. #3102	C₂×C₃	semidirect
146. #3093	C₂×C₃	semidirect
147. C₂×#485	C₂×C₃	semidirect
148. #3084	C₂×C₃	semidirect
149. #3083	C₂×C₃	semidirect
150. #3046	C₂×C₃	semidirect
151. #3046	C₂×C₃	semidirect
152. #3007	C₂×C₃	semidirect
154. #2952	C₂×C₃	semidirect
155. #2951	C₂×C₃	semidirect
156. #2947	C₂×C₃	semidirect
157. #2947	C₂×C₃	semidirect
158. #2924	C₂×C₃	semidirect
353. #544	C₂²×C₃	semidirect
356. #536	C₂²×C₃	semidirect
357. #533	C₂²×C₃	semidirect
358. #529	C₂²×C₃	semidirect
367. #520	C₂²×C₃	semidirect
369. #519	C₂²×C₃	semidirect
382. #485	C₂²×C₃	semidirect
383. #485	C₂²×C₃	semidirect
384. #485	C₂²×C₃	semidirect
386. #482	C₂²×C₃	semidirect
387. #479	C₂²×C₃	semidirect
388. #479	C₂²×C₃	semidirect
389. #478	C₂²×C₃	semidirect
390. #478	C₂²×C₃	semidirect
391. #477	C₂²×C₃	semidirect
392. #476	C₂²×C₃	semidirect
393. #475	C₂²×C₃	semidirect
394. #474	C₂²×C₃	semidirect
395. #464	C₂²×C₃	semidirect
396. #464	C₂²×C₃	semidirect
397. #463	C₂²×C₃	semidirect
398. #463	C₂²×C₃	semidirect
399. #462	C₂²×C₃	semidirect
400. #462	C₂²×C₃	semidirect
401. #461	C₂²×C₃	semidirect
402. #461	C₂²×C₃	semidirect
415. #442	C₂²×C₃	semidirect
416. #441	C₂²×C₃	semidirect
417. #441	C₂²×C₃	semidirect
418. #441	C₂²×C₃	semidirect
419. #440	C₂²×C₃	semidirect
420. #440	C₂²×C₃	semidirect
421. #440	C₂²×C₃	semidirect
422. #440	C₂²×C₃	semidirect
423. C₄×Q₁₆	C₂²×C₃	semidirect
424. C₄×Q₁₆	C₂²×C₃	semidirect
425. C₄×Q₁₆	C₂²×C₃	semidirect
426. C₄×SD₁₆	C₂²×C₃	semidirect
427. C₄×SD₁₆	C₂²×C₃	semidirect
428. C₄×SD₁₆	C₂²×C₃	semidirect
429. C₄×SD₁₆	C₂²×C₃	semidirect
430. C₄×D₈	C₂²×C₃	semidirect
433. #432	C₂²×C₃	semidirect
434. #431	C₂²×C₃	semidirect
435. #428	C₂²×C₃	semidirect
436. #428	C₂²×C₃	semidirect
437. C₂×#107	C₂²×C₃	semidirect
438. C₂×#106	C₂²×C₃	semidirect
439. #424	C₂²×C₃	semidirect
440. #424	C₂²×C₃	semidirect
443. #417	C₂²×C₃	semidirect
444. #417	C₂²×C₃	semidirect
447. C₂×#103	C₂²×C₃	semidirect
448. C₂×#103	C₂²×C₃	semidirect
451. #405	C₂²×C₃	semidirect
452. #405	C₂²×C₃	semidirect
1197. C₃	#60586	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×#3495	2
C₃×#3428	2
C₃×#3127	2
C₃×#3123	2
C₃×#3121	2
C₃×#3118	2
C₃×#3116	2
C₃×#3111	2
C₃×#3107	2
C₃×#3102	2
C₃×#3093	2
C₂×C₃×#485	2
C₃×#3084	2
C₃×#3083	2
C₃×#3046	2
C₃×#3007	2
C₃×#3002	2
C₃×#2952	2
C₃×#2951	2
C₃×#2947	2
C₃×#2924	2
#60586	3

Subgroups — C3×#60586 #10679193

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#60586 #10679193