Subgroups — C₃×#61650 #10680257

Order 768.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1144 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×#3487	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3333	C₂	1	2	yes	maximal, complemented
4	C₃×#3332	C₂	1	2	yes	maximal, complemented
5	C₃×#3316	C₂	1	2	yes	maximal, complemented
6	C₃×#3308	C₂	1	2	yes	maximal, complemented
7	C₃×#3277	C₂	1	2	yes	maximal, complemented
8	C₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₃×#3271	C₂	1	2	yes	maximal, complemented
10	C₃×#3268	C₂	1	2	yes	maximal, complemented
11	C₃×#3224	C₂	1	2	yes	maximal, complemented
12	C₃×#3198	C₂	1	2	yes	maximal, complemented
13	C₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3194	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	C₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
20	#61650	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
21	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
22	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
23	C₂×C₃×#137	C₂²	1	2	yes	complemented
24	C₂×C₃×#137	C₂²	1	2	yes	complemented
25	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₂×C₃×#135	C₂²	1	2	yes	complemented
27	C₃×#562	—	2	2	no	—
28	C₃×#554	C₂²	1	2	yes	complemented
29	C₃×#550	—	2	1	no	—
30	C₃×#550	—	2	1	no	—
31	C₃×#550	C₂²	1	2	yes	—
32	C₃×#550	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	complemented
37	C₃×#548	C₂²	1	2	yes	complemented
38	C₃×#547	C₂²	1	2	yes	complemented
39	C₃×#546	—	2	2	no	—
40	C₃×#546	C₂²	1	2	yes	complemented
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×#535	—	2	2	no	—
48	C₃×#535	C₂²	1	1	yes	characteristic, complemented
49	C₃×#535	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×#496	C₂²	1	2	yes	complemented
57	C₃×#495	C₂²	1	2	yes	complemented
58	C₃×#489	C₂²	1	2	yes	complemented
59	C₃×#486	C₂²	1	2	yes	complemented
60	C₃×#485	C₂²	1	2	yes	complemented
61	C₃×#484	C₂²	1	1	yes	characteristic, complemented
62	C₃×#483	C₂²	1	1	yes	characteristic, complemented
63	C₃×#482	C₂²	1	2	yes	—
64	C₃×#481	C₂²	1	1	yes	characteristic, complemented
65	C₃×#481	C₂²	1	2	yes	complemented
66	C₃×#480	C₂²	1	1	yes	characteristic, complemented
67	C₃×#480	C₂²	1	2	yes	complemented
68	C₃×#477	C₂²	1	2	yes	complemented
69	C₃×#475	C₂²	1	2	yes	complemented
70	C₃×#470	C₂²	1	2	yes	complemented
71	C₃×#469	C₂²	1	2	yes	complemented
72	C₃×#469	C₂²	1	2	yes	complemented
73	C₃×#468	C₂²	1	2	yes	complemented
74	C₃×#468	C₂²	1	2	yes	complemented
75	C₃×#468	C₂²	1	2	yes	complemented
76	C₃×#466	C₂²	1	2	yes	complemented
77	C₃×#465	C₂²	1	2	yes	complemented
78	C₃×#464	C₂²	1	2	yes	complemented
79	C₃×#464	C₂²	1	2	yes	complemented
80	C₃×#464	C₂²	1	2	yes	complemented
81	C₃×#463	C₂²	1	2	yes	complemented
82	C₃×#460	C₂²	1	2	yes	complemented
83	C₃×#459	C₂²	1	2	yes	complemented
84	C₃×#452	C₂²	1	2	yes	—
85	C₃×#452	C₂²	1	2	yes	—
86	C₃×#452	C₂²	1	2	yes	complemented
87	C₃×#452	C₂²	1	2	yes	complemented
88	C₃×#451	C₂²	1	1	yes	characteristic, complemented
89	C₃×#451	C₂²	1	2	yes	complemented
90	C₃×#451	C₂²	1	2	yes	complemented
91	C₃×#450	C₂²	1	1	yes	characteristic, complemented
92	C₃×#450	C₂²	1	2	yes	complemented
93	C₃×#449	C₂²	1	2	yes	—
94	C₃×#449	C₂²	1	2	yes	—
95	C₃×#449	C₂²	1	2	yes	—
96	C₃×#449	C₂²	1	2	yes	complemented
97	C₃×#449	C₂²	1	2	yes	complemented
98	C₃×#449	C₂²	1	2	yes	complemented
99	C₃×#448	C₂²	1	2	yes	—
100	C₃×#448	C₂²	1	1	yes	characteristic, complemented
101	C₃×#448	C₂²	1	2	yes	complemented
102	C₃×#447	C₂²	1	2	yes	—
103	C₃×#447	C₂²	1	1	yes	characteristic, complemented
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×#436	C₂²	1	2	yes	complemented
109	C₃×#436	C₂²	1	2	yes	complemented
110	C₃×#435	C₂²	1	2	yes	complemented
111	C₃×#435	C₂²	1	2	yes	complemented
112	C₃×#433	C₂²	1	2	yes	complemented
113	C₃×#417	C₂²	1	2	yes	—
114	C₃×#417	C₂²	1	2	yes	complemented
115	C₃×#417	C₂²	1	2	yes	complemented
116	C₂×C₃×#103	C₂²	1	2	yes	complemented
117	C₃×#408	C₂²	1	2	yes	complemented
118	C₃×#407	C₂²	1	1	yes	characteristic
119	C₃×#407	C₂²	1	1	yes	characteristic
120	#3536	C₂×C₃	1	1	yes	characteristic, complemented
121	#3487	C₂×C₃	1	1	yes	characteristic, complemented
122	#3333	C₂×C₃	1	2	yes	complemented
123	#3332	C₂×C₃	1	2	yes	complemented
124	#3316	C₂×C₃	1	2	yes	complemented
125	#3308	C₂×C₃	1	2	yes	complemented
126	#3277	C₂×C₃	1	2	yes	complemented
127	#3275	C₂×C₃	1	2	yes	complemented
128	#3271	C₂×C₃	1	2	yes	complemented
129	#3268	C₂×C₃	1	2	yes	complemented
130	#3224	C₂×C₃	1	2	yes	complemented
131	#3198	C₂×C₃	1	2	yes	complemented
132	#3196	C₂×C₃	1	1	yes	characteristic, complemented
133	#3194	C₂×C₃	1	1	yes	characteristic, complemented
134	#3121	C₂×C₃	1	2	yes	complemented
135	#3013	C₂×C₃	1	2	yes	complemented
136	#3007	C₂×C₃	1	1	yes	characteristic, complemented
137	#3006	C₂×C₃	1	1	yes	characteristic, complemented
138	#2978	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	—	2	1	no	—
144	C₂×C₃×#41	—	2	1	no	—
145	C₂×C₃×#41	—	4	4	no	—
146	C₂×C₃×#41	C₂³	1	2	yes	—
147	C₂×C₃×#41	C₂³	1	2	yes	—
148	C₂×C₃×#41	C₂³	1	2	yes	—
149	C₂×C₃×#41	C₂³	1	2	yes	—
150	C₂×C₃×#41	C₂³	1	1	yes	characteristic
151	C₂×C₃×#41	C₂³	1	1	yes	characteristic
152	C₂²×C₃×Q₈	—	2	1	no	—
153	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
154	C₂²×C₃×Q₈	C₂³	1	2	yes	—
155	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
156	C₂²×C₃×D₄	—	2	1	no	—
157	C₂²×C₃×D₄	—	2	1	no	—
158	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
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×#137	—	4	4	no	—
164	C₃×AGL(1,ℤ/8)	—	4	4	no	—
165	C₃×#135	—	4	4	no	—
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×SD₁₆	C₂³	1	2	yes	—
170	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
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×D₈	C₂³	1	2	yes	—
176	C₂×C₃×D₈	C₂³	1	2	yes	—
177	C₂×C₃×D₈	C₂³	1	2	yes	—
178	C₂×C₃×M₁₆	C₂³	1	2	yes	—
179	C₂×C₃×M₁₆	C₂³	1	2	yes	—
180	C₂×C₃×M₁₆	C₂³	1	2	yes	—
181	C₂²×C₃×C₈	C₂³	1	2	yes	—
182	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
183	C₃×#127	—	2	2	no	—
184	C₃×#127	—	2	2	no	—
185	C₃×#127	—	2	1	no	—
186	C₃×#127	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	1	no	—
197	C₃×#123	—	2	2	no	—
198	C₃×#123	—	2	2	no	—
199	C₃×#123	—	2	2	no	—
200	C₃×#123	—	2	2	no	—
201	C₃×#123	D₄	1	2	yes	—
202	C₃×C₂²⋊Q₈	—	2	2	no	—
203	C₃×C₂²⋊Q₈	—	2	1	no	—
204	C₃×C₂²⋊Q₈	—	2	1	no	—
205	C₃×C₂²⋊Q₈	—	2	2	no	—
206	C₃×C₂²⋊Q₈	—	2	2	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	2	no	—
212	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
213	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
214	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₃×#121	—	2	2	no	—
220	C₃×#121	—	2	2	no	—
221	C₃×#121	—	2	2	no	—
222	C₃×#121	—	2	2	no	—
223	C₃×#121	—	2	2	no	—
224	C₃×#121	—	2	2	no	—
225	C₃×#121	—	2	1	no	—
226	C₃×#121	—	2	1	no	—
227	C₃×#121	—	2	1	no	—
228	C₃×#121	—	2	1	no	—
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	D₄	1	1	yes	characteristic
235	C₃×#121	D₄	1	1	yes	characteristic
236	C₃×#121	C₂³	1	2	yes	—
237	C₃×#121	C₂³	1	1	yes	characteristic
238	C₃×#121	C₂³	1	2	yes	—
239	C₃×#121	C₂³	1	1	yes	characteristic
240	C₃×#121	C₂³	1	2	yes	—
241	C₃×#121	C₂³	1	2	yes	—
242	C₃×#121	C₂³	1	2	yes	—
243	C₃×#120	—	2	1	no	—
244	C₃×#120	—	2	2	no	—
245	C₃×#120	—	2	2	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	1	no	—
255	C₃×C₄×D₄	—	2	1	no	—
256	C₃×C₄×D₄	—	2	2	no	—
257	C₃×C₄×D₄	—	2	2	no	—
258	C₃×C₄×D₄	—	2	2	no	—
259	C₃×C₄×D₄	—	2	2	no	—
260	C₃×C₄×D₄	—	2	2	no	—
261	C₃×C₄×D₄	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	2	yes	—
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×#102	C₂³	1	2	yes	—
289	C₃×#102	C₂³	1	2	yes	—
290	C₃×#102	C₂³	1	2	yes	—
291	C₃×#102	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	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
308	C₂×#137	C₂²×C₃	1	2	yes	complemented
309	C₂×#137	C₂²×C₃	1	2	yes	complemented
310	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	2	yes	—
311	C₂×#135	C₂²×C₃	1	2	yes	complemented
312	#562	—	2	2	no	—
313	#554	C₂²×C₃	1	2	yes	complemented
314	#550	—	2	1	no	—
315	#550	—	2	1	no	—
316	#550	C₂²×C₃	1	2	yes	—
317	#550	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	complemented
322	#548	C₂²×C₃	1	2	yes	complemented
323	#547	C₂²×C₃	1	2	yes	complemented
324	#546	—	2	2	no	—
325	#546	C₂²×C₃	1	2	yes	complemented
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	#535	—	2	2	no	—
333	#535	C₂²×C₃	1	1	yes	characteristic, complemented
334	#535	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	#496	C₂²×C₃	1	2	yes	complemented
342	#495	C₂²×C₃	1	2	yes	complemented
343	#489	C₂²×C₃	1	2	yes	complemented
344	#486	C₂²×C₃	1	2	yes	complemented
345	#485	C₂²×C₃	1	2	yes	complemented
346	#484	C₂²×C₃	1	1	yes	characteristic, complemented
347	#483	C₂²×C₃	1	1	yes	characteristic, complemented
348	#482	C₂²×C₃	1	2	yes	—
349	#481	C₂²×C₃	1	1	yes	characteristic, complemented
350	#481	C₂²×C₃	1	2	yes	complemented
351	#480	C₂²×C₃	1	1	yes	characteristic, complemented
352	#480	C₂²×C₃	1	2	yes	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	#469	C₂²×C₃	1	2	yes	complemented
357	#469	C₂²×C₃	1	2	yes	complemented
358	#468	C₂²×C₃	1	2	yes	complemented
359	#468	C₂²×C₃	1	2	yes	complemented
360	#468	C₂²×C₃	1	2	yes	complemented
361	#466	C₂²×C₃	1	2	yes	complemented
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	#460	C₂²×C₃	1	2	yes	complemented
368	#459	C₂²×C₃	1	2	yes	complemented
369	#452	C₂²×C₃	1	2	yes	—
370	#452	C₂²×C₃	1	2	yes	—
371	#452	C₂²×C₃	1	2	yes	complemented
372	#452	C₂²×C₃	1	2	yes	complemented
373	#451	C₂²×C₃	1	2	yes	complemented
374	#451	C₂²×C₃	1	1	yes	characteristic, complemented
375	#451	C₂²×C₃	1	2	yes	complemented
376	#450	C₂²×C₃	1	1	yes	characteristic, complemented
377	#450	C₂²×C₃	1	2	yes	complemented
378	#449	C₂²×C₃	1	2	yes	—
379	#449	C₂²×C₃	1	2	yes	—
380	#449	C₂²×C₃	1	2	yes	—
381	#449	C₂²×C₃	1	2	yes	complemented
382	#449	C₂²×C₃	1	2	yes	complemented
383	#449	C₂²×C₃	1	2	yes	complemented
384	#448	C₂²×C₃	1	2	yes	—
385	#448	C₂²×C₃	1	1	yes	characteristic, complemented
386	#448	C₂²×C₃	1	2	yes	complemented
387	#447	C₂²×C₃	1	2	yes	—
388	#447	C₂²×C₃	1	1	yes	characteristic, complemented
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	#436	C₂²×C₃	1	2	yes	complemented
394	#436	C₂²×C₃	1	2	yes	complemented
395	#435	C₂²×C₃	1	2	yes	complemented
396	#435	C₂²×C₃	1	2	yes	complemented
397	#433	C₂²×C₃	1	2	yes	complemented
398	#417	C₂²×C₃	1	2	yes	—
399	#417	C₂²×C₃	1	2	yes	complemented
400	#417	C₂²×C₃	1	2	yes	complemented
401	C₂×#103	C₂²×C₃	1	2	yes	complemented
402	#408	C₂²×C₃	1	2	yes	complemented
403	#407	C₂²×C₃	1	1	yes	characteristic
404	#407	C₂²×C₃	1	1	yes	characteristic
405	C₂⁴×C₃	—	2	1	no	—
406	C₂⁴×C₃	—	2	1	no	—
407	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
408	C₃×#41	—	2	4	no	—
409	C₃×#41	—	2	4	no	—
410	C₃×#41	—	2	4	no	—
411	C₃×#41	—	4	2	no	—
412	C₃×#41	—	4	2	no	—
413	C₃×#41	—	4	2	no	—
414	C₃×#41	—	4	2	no	—
415	C₃×#41	—	4	2	no	—
416	C₃×#41	—	4	8	no	—
417	C₃×#41	—	4	2	no	—
418	C₃×#41	—	4	2	no	—
419	C₃×#41	—	4	4	no	—
420	C₃×#41	—	4	4	no	—
421	C₃×#41	—	4	4	no	—
422	C₃×#41	—	8	4	no	—
423	C₂×C₃×Q₈	—	2	4	no	—
424	C₂×C₃×Q₈	—	2	1	no	—
425	C₂×C₃×Q₈	—	2	2	no	—
426	C₂×C₃×Q₈	—	2	1	no	—
427	C₂×C₃×Q₈	—	2	2	no	—
428	C₂×C₃×Q₈	—	2	4	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	C₂×D₄	1	1	yes	characteristic
433	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
434	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
435	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
436	C₂×C₃×D₄	—	2	2	no	—
437	C₂×C₃×D₄	—	2	1	no	—
438	C₂×C₃×D₄	—	2	2	no	—
439	C₂×C₃×D₄	—	2	2	no	—
440	C₂×C₃×D₄	—	2	2	no	—
441	C₂×C₃×D₄	—	2	2	no	—
442	C₂×C₃×D₄	—	2	2	no	—
443	C₂×C₃×D₄	—	2	1	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	1	no	—
449	C₂×C₃×D₄	—	2	2	no	—
450	C₂×C₃×D₄	—	2	2	no	—
451	C₂×C₃×D₄	—	2	1	no	—
452	C₂×C₃×D₄	—	4	2	no	—
453	C₂×C₃×D₄	—	4	2	no	—
454	C₂×C₃×D₄	—	4	4	no	—
455	C₂×C₃×D₄	—	8	2	no	—
456	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
457	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
458	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
459	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
460	C₂×C₃×D₄	C₂⁴	1	2	yes	—
461	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
462	C₂×C₃×D₄	C₂⁴	1	2	yes	—
463	C₂²×C₃×C₄	—	2	1	no	—
464	C₂²×C₃×C₄	—	2	1	no	—
465	C₂²×C₃×C₄	—	2	2	no	—
466	C₂²×C₃×C₄	—	2	1	no	—
467	C₂²×C₃×C₄	—	2	1	no	—
468	C₂²×C₃×C₄	—	2	2	no	—
469	C₂²×C₃×C₄	—	2	2	no	—
470	C₂²×C₃×C₄	—	2	1	no	—
471	C₂²×C₃×C₄	—	2	2	no	—
472	C₂²×C₃×C₄	—	2	2	no	—
473	C₂²×C₃×C₄	—	2	2	no	—
474	C₂²×C₃×C₄	—	2	2	no	—
475	C₂²×C₃×C₄	—	4	2	no	—
476	C₂²×C₃×C₄	—	4	4	no	—
477	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
478	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
479	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
480	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
481	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
482	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
483	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
484	C₃×Q₁₆	—	2	4	no	—
485	C₃×Q₁₆	—	2	4	no	—
486	C₃×Q₁₆	—	4	2	no	—
487	C₃×SD₁₆	—	2	4	no	—
488	C₃×SD₁₆	—	2	4	no	—
489	C₃×SD₁₆	—	4	2	no	—
490	C₃×SD₁₆	—	4	2	no	—
491	C₃×SD₁₆	—	4	2	no	—
492	C₃×SD₁₆	—	4	2	no	—
493	C₃×D₈	—	4	2	no	—
494	C₃×D₈	—	4	2	no	—
495	C₃×D₈	—	4	2	no	—
496	C₃×M₁₆	—	4	2	no	—
497	C₃×M₁₆	—	4	2	no	—
498	C₃×M₁₆	—	4	2	no	—
499	C₂×C₃×C₈	—	4	2	no	—
500	C₂×C₃×C₈	C₂⁴	1	2	yes	—
501	C₂×C₃×C₈	C₂⁴	1	2	yes	—
502	C₂×C₃×C₈	C₂⁴	1	2	yes	—
503	C₂×C₃×C₈	C₂⁴	1	2	yes	—
504	C₃×C₄⋊C₄	—	2	2	no	—
505	C₃×C₄⋊C₄	—	2	2	no	—
506	C₃×C₄⋊C₄	—	2	1	no	—
507	C₃×C₄⋊C₄	—	2	2	no	—
508	C₃×C₄⋊C₄	—	2	1	no	—
509	C₃×C₄⋊C₄	—	2	2	no	—
510	C₃×C₄⋊C₄	—	2	2	no	—
511	C₃×C₄⋊C₄	—	2	1	no	—
512	C₃×C₄⋊C₄	—	2	1	no	—
513	C₃×C₄⋊C₄	—	2	2	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	2	yes	—
521	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
522	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
523	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	no	—
535	C₃×C₂²⋊C₄	—	2	1	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	2	no	—
540	C₃×C₂²⋊C₄	—	2	2	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	—	2	1	no	—
557	C₂×#41	—	2	1	no	—
558	C₂×#41	—	4	4	no	—
559	C₂×#41	C₂³×C₃	1	2	yes	—
560	C₂×#41	C₂³×C₃	1	2	yes	—
561	C₂×#41	C₂³×C₃	1	2	yes	—
562	C₂×#41	C₂³×C₃	1	1	yes	characteristic
563	C₂×#41	C₂³×C₃	1	2	yes	—
564	C₂×#41	C₂³×C₃	1	1	yes	characteristic
565	C₂²×Q₈	—	2	1	no	—
566	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
567	C₂²×Q₈	C₂³×C₃	1	2	yes	—
568	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
569	C₂²×D₄	—	2	1	no	—
570	C₂²×D₄	—	2	1	no	—
571	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
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	#137	—	4	4	no	—
577	AGL(1,ℤ/8)	—	4	4	no	—
578	#135	—	4	4	no	—
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×SD₁₆	C₂³×C₃	1	2	yes	—
583	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
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×D₈	C₂³×C₃	1	2	yes	—
589	C₂×D₈	C₂³×C₃	1	2	yes	—
590	C₂×D₈	C₂³×C₃	1	2	yes	—
591	C₂×M₁₆	C₂³×C₃	1	2	yes	—
592	C₂×M₁₆	C₂³×C₃	1	2	yes	—
593	C₂×M₁₆	C₂³×C₃	1	2	yes	—
594	C₂²×C₈	C₂³×C₃	1	2	yes	—
595	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
596	#127	—	2	2	no	—
597	#127	—	2	2	no	—
598	#127	—	2	1	no	—
599	#127	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	1	no	—
610	#123	—	2	2	no	—
611	#123	—	2	2	no	—
612	#123	—	2	2	no	—
613	#123	—	2	2	no	—
614	#123	C₃×D₄	1	2	yes	—
615	C₂²⋊Q₈	—	2	2	no	—
616	C₂²⋊Q₈	—	2	1	no	—
617	C₂²⋊Q₈	—	2	1	no	—
618	C₂²⋊Q₈	—	2	2	no	—
619	C₂²⋊Q₈	—	2	2	no	—
620	C₂²⋊Q₈	—	2	2	no	—
621	C₂²⋊Q₈	—	2	2	no	—
622	C₂²⋊Q₈	—	2	2	no	—
623	C₂²⋊Q₈	—	2	2	no	—
624	C₂²⋊Q₈	—	2	2	no	—
625	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
626	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
627	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
628	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
629	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
630	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
631	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
632	#121	—	2	2	no	—
633	#121	—	2	2	no	—
634	#121	—	2	2	no	—
635	#121	—	2	2	no	—
636	#121	—	2	2	no	—
637	#121	—	2	2	no	—
638	#121	—	2	1	no	—
639	#121	—	2	1	no	—
640	#121	—	2	1	no	—
641	#121	—	2	1	no	—
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	C₃×D₄	1	1	yes	characteristic
648	#121	C₃×D₄	1	1	yes	characteristic
649	#121	C₂³×C₃	1	2	yes	—
650	#121	C₂³×C₃	1	2	yes	—
651	#121	C₂³×C₃	1	1	yes	characteristic
652	#121	C₂³×C₃	1	1	yes	characteristic
653	#121	C₂³×C₃	1	2	yes	—
654	#121	C₂³×C₃	1	2	yes	—
655	#121	C₂³×C₃	1	2	yes	—
656	#120	—	2	1	no	—
657	#120	—	2	2	no	—
658	#120	—	2	2	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	1	no	—
668	C₄×D₄	—	2	1	no	—
669	C₄×D₄	—	2	2	no	—
670	C₄×D₄	—	2	2	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	#102	C₂³×C₃	1	2	yes	—
702	#102	C₂³×C₃	1	2	yes	—
703	#102	C₂³×C₃	1	2	yes	—
704	#102	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	—	4	1	no	—
723	C₂³×C₃	—	4	1	no	—
724	C₂³×C₃	—	4	1	no	—
725	C₂³×C₃	—	4	2	no	—
726	C₂³×C₃	—	4	2	no	—
727	C₂³×C₃	—	8	1	no	—
728	C₂³×C₃	—	8	1	no	—
729	C₂³×C₃	—	8	1	no	—
730	C₂³×C₃	—	8	1	no	—
731	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
732	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
733	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
734	C₂³×C₃	C₂²×D₄	1	2	yes	—
735	C₃×Q₈	—	2	4	no	—
736	C₃×Q₈	—	2	2	no	—
737	C₃×Q₈	—	2	2	no	—
738	C₃×Q₈	—	2	2	no	—
739	C₃×Q₈	—	2	2	no	—
740	C₃×Q₈	—	4	1	no	—
741	C₃×Q₈	—	4	4	no	—
742	C₃×Q₈	—	8	1	no	—
743	C₃×Q₈	—	8	2	no	—
744	C₃×Q₈	H(5,𝔽₂)	1	4	yes	—
745	C₃×D₄	—	2	2	no	—
746	C₃×D₄	—	2	2	no	—
747	C₃×D₄	—	2	2	no	—
748	C₃×D₄	—	2	2	no	—
749	C₃×D₄	—	2	2	no	—
750	C₃×D₄	—	4	2	no	—
751	C₃×D₄	—	4	1	no	—
752	C₃×D₄	—	4	2	no	—
753	C₃×D₄	—	4	2	no	—
754	C₃×D₄	—	4	4	no	—
755	C₃×D₄	—	4	4	no	—
756	C₃×D₄	—	4	4	no	—
757	C₃×D₄	—	4	2	no	—
758	C₃×D₄	—	4	4	no	—
759	C₃×D₄	—	4	2	no	—
760	C₃×D₄	—	8	2	no	—
761	C₃×D₄	—	8	2	no	—
762	C₃×D₄	—	8	1	no	—
763	C₃×D₄	—	8	2	no	—
764	C₃×D₄	—	8	1	no	—
765	C₃×D₄	—	8	2	no	—
766	C₃×D₄	—	8	1	no	—
767	C₃×D₄	—	8	2	no	—
768	C₃×D₄	—	8	2	no	—
769	C₃×D₄	—	8	2	no	—
770	C₂×C₃×C₄	—	2	4	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	2	no	—
776	C₂×C₃×C₄	—	2	2	no	—
777	C₂×C₃×C₄	—	2	1	no	—
778	C₂×C₃×C₄	—	2	1	no	—
779	C₂×C₃×C₄	—	2	2	no	—
780	C₂×C₃×C₄	—	2	2	no	—
781	C₂×C₃×C₄	—	2	1	no	—
782	C₂×C₃×C₄	—	2	2	no	—
783	C₂×C₃×C₄	—	4	1	no	—
784	C₂×C₃×C₄	—	4	1	no	—
785	C₂×C₃×C₄	—	4	1	no	—
786	C₂×C₃×C₄	—	4	4	no	—
787	C₂×C₃×C₄	—	4	4	no	—
788	C₂×C₃×C₄	—	4	4	no	—
789	C₂×C₃×C₄	—	4	4	no	—
790	C₂×C₃×C₄	—	4	2	no	—
791	C₂×C₃×C₄	—	4	2	no	—
792	C₂×C₃×C₄	—	8	2	no	—
793	C₂×C₃×C₄	—	8	2	no	—
794	C₂×C₃×C₄	—	8	1	no	—
795	C₂×C₃×C₄	—	8	1	no	—
796	C₂×C₃×C₄	—	8	2	no	—
797	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
798	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
799	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
802	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
804	C₃×C₈	—	2	2	no	—
805	C₃×C₈	—	2	2	no	—
806	C₃×C₈	—	2	2	no	—
807	C₃×C₈	—	2	2	no	—
808	C₂⁴	—	2	1	no	—
809	C₂⁴	—	2	1	no	—
810	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
811	#41	—	2	4	no	—
812	#41	—	2	4	no	—
813	#41	—	2	4	no	—
814	#41	—	4	2	no	—
815	#41	—	4	2	no	—
816	#41	—	4	2	no	—
817	#41	—	4	2	no	—
818	#41	—	4	2	no	—
819	#41	—	4	8	no	—
820	#41	—	4	2	no	—
821	#41	—	4	2	no	—
822	#41	—	4	4	no	—
823	#41	—	4	4	no	—
824	#41	—	4	4	no	—
825	#41	—	8	4	no	—
826	C₂×Q₈	—	2	4	no	—
827	C₂×Q₈	—	2	1	no	—
828	C₂×Q₈	—	2	2	no	—
829	C₂×Q₈	—	2	1	no	—
830	C₂×Q₈	—	2	2	no	—
831	C₂×Q₈	—	2	4	no	—
832	C₂×Q₈	—	4	2	no	—
833	C₂×Q₈	—	4	2	no	—
834	C₂×Q₈	—	4	4	no	—
835	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
836	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
837	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
838	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
839	C₂×D₄	—	2	2	no	—
840	C₂×D₄	—	2	1	no	—
841	C₂×D₄	—	2	2	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	—	2	1	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	1	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	1	no	—
855	C₂×D₄	—	4	2	no	—
856	C₂×D₄	—	4	2	no	—
857	C₂×D₄	—	4	4	no	—
858	C₂×D₄	—	8	2	no	—
859	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
860	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
861	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
862	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
863	C₂×D₄	C₂⁴×C₃	1	2	yes	—
864	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
865	C₂×D₄	C₂⁴×C₃	1	2	yes	—
866	C₂²×C₄	—	2	1	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	2	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	2	no	—
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	—	4	2	no	—
879	C₂²×C₄	—	4	4	no	—
880	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
881	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
882	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
883	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
884	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
885	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
887	Q₁₆	—	2	4	no	—
888	Q₁₆	—	2	4	no	—
889	Q₁₆	—	4	2	no	—
890	SD₁₆	—	2	4	no	—
891	SD₁₆	—	2	4	no	—
892	SD₁₆	—	4	2	no	—
893	SD₁₆	—	4	2	no	—
894	SD₁₆	—	4	2	no	—
895	SD₁₆	—	4	2	no	—
896	D₈	—	4	2	no	—
897	D₈	—	4	2	no	—
898	D₈	—	4	2	no	—
899	M₁₆	—	4	2	no	—
900	M₁₆	—	4	2	no	—
901	M₁₆	—	4	2	no	—
902	C₂×C₈	—	4	2	no	—
903	C₂×C₈	C₂⁴×C₃	1	2	yes	—
904	C₂×C₈	C₂⁴×C₃	1	2	yes	—
905	C₂×C₈	C₂⁴×C₃	1	2	yes	—
906	C₂×C₈	C₂⁴×C₃	1	2	yes	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	1	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
920	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
921	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
922	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
923	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
924	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
925	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
926	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	2	no	—
929	C₂²⋊C₄	—	2	1	no	—
930	C₂²⋊C₄	—	2	1	no	—
931	C₂²⋊C₄	—	2	1	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	2	no	—
937	C₂²⋊C₄	—	2	1	no	—
938	C₂²⋊C₄	—	2	1	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	2	no	—
945	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
946	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
947	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
948	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
949	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
950	C₄²	—	2	2	no	—
951	C₄²	—	2	2	no	—
952	C₄²	—	2	1	no	—
953	C₄²	—	2	2	no	—
954	C₄²	C₂⁴×C₃	1	2	yes	—
955	C₂²×C₃	—	2	1	no	—
956	C₂²×C₃	—	2	2	no	—
957	C₂²×C₃	—	2	1	no	—
958	C₂²×C₃	—	2	1	no	—
959	C₂²×C₃	—	2	1	no	—
960	C₂²×C₃	—	2	2	no	—
961	C₂²×C₃	—	2	1	no	—
962	C₂²×C₃	—	2	1	no	—
963	C₂²×C₃	—	2	1	no	—
964	C₂²×C₃	—	2	2	no	—
965	C₂²×C₃	—	2	1	no	—
966	C₂²×C₃	—	2	1	no	—
967	C₂²×C₃	—	4	2	no	—
968	C₂²×C₃	—	4	1	no	—
969	C₂²×C₃	—	4	2	no	—
970	C₂²×C₃	—	4	1	no	—
971	C₂²×C₃	—	4	2	no	—
972	C₂²×C₃	—	4	2	no	—
973	C₂²×C₃	—	4	1	no	—
974	C₂²×C₃	—	4	2	no	—
975	C₂²×C₃	—	4	2	no	—
976	C₂²×C₃	—	8	2	no	—
977	C₂²×C₃	—	8	4	no	—
978	C₂²×C₃	—	16	2	no	—
979	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
980	C₃×C₄	—	2	2	no	—
981	C₃×C₄	—	2	2	no	—
982	C₃×C₄	—	2	4	no	—
983	C₃×C₄	—	2	1	no	—
984	C₃×C₄	—	2	1	no	—
985	C₃×C₄	—	2	1	no	—
986	C₃×C₄	—	2	2	no	—
987	C₃×C₄	—	4	2	no	—
988	C₃×C₄	—	4	2	no	—
989	C₃×C₄	—	4	1	no	—
990	C₃×C₄	—	4	1	no	—
991	C₃×C₄	—	4	1	no	—
992	C₃×C₄	—	4	2	no	—
993	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	2	1	no	—
997	C₂³	—	4	1	no	—
998	C₂³	—	4	1	no	—
999	C₂³	—	4	1	no	—
1000	C₂³	—	4	2	no	—
1001	C₂³	—	4	2	no	—
1002	C₂³	—	8	1	no	—
1003	C₂³	—	8	1	no	—
1004	C₂³	—	8	1	no	—
1005	C₂³	—	8	1	no	—
1006	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1007	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1008	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1009	C₂³	C₂²×C₃×D₄	1	2	yes	—
1010	Q₈	—	2	4	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	2	no	—
1015	Q₈	—	4	1	no	—
1016	Q₈	—	4	4	no	—
1017	Q₈	—	8	1	no	—
1018	Q₈	—	8	2	no	—
1019	Q₈	C₃×H(5,𝔽₂)	1	4	yes	—
1020	D₄	—	2	2	no	—
1021	D₄	—	2	2	no	—
1022	D₄	—	2	2	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	4	1	no	—
1026	D₄	—	4	2	no	—
1027	D₄	—	4	2	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	4	no	—
1030	D₄	—	4	4	no	—
1031	D₄	—	4	4	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	4	4	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	8	1	no	—
1036	D₄	—	8	2	no	—
1037	D₄	—	8	2	no	—
1038	D₄	—	8	2	no	—
1039	D₄	—	8	2	no	—
1040	D₄	—	8	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	1	no	—
1043	D₄	—	8	2	no	—
1044	D₄	—	8	1	no	—
1045	C₂×C₄	—	2	4	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	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	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	4	1	no	—
1059	C₂×C₄	—	4	1	no	—
1060	C₂×C₄	—	4	1	no	—
1061	C₂×C₄	—	4	4	no	—
1062	C₂×C₄	—	4	4	no	—
1063	C₂×C₄	—	4	4	no	—
1064	C₂×C₄	—	4	4	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	1	no	—
1070	C₂×C₄	—	8	1	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1073	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1074	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1075	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1076	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1077	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1078	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1079	C₈	—	2	2	no	—
1080	C₈	—	2	2	no	—
1081	C₈	—	2	2	no	—
1082	C₈	—	2	2	no	—
1083	C₂×C₃	—	4	2	no	—
1084	C₂×C₃	—	4	1	no	—
1085	C₂×C₃	—	4	1	no	—
1086	C₂×C₃	—	4	1	no	—
1087	C₂×C₃	—	8	1	no	—
1088	C₂×C₃	—	8	2	no	—
1089	C₂×C₃	—	8	2	no	—
1090	C₂×C₃	#3484	1	1	yes	characteristic
1091	C₂×C₃	#3585	1	1	yes	characteristic
1092	C₂×C₃	#3586	1	1	yes	characteristic
1093	C₂²	—	2	1	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	2	1	no	—
1098	C₂²	—	2	2	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	1	no	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	8	2	no	—
1115	C₂²	—	8	4	no	—
1116	C₂²	—	16	2	no	—
1117	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1118	C₄	—	2	4	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	2	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	2	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	1	no	—
1131	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1132	C₃	#61650	1	1	yes	characteristic, direct product factor, Sylow
1133	C₂	—	4	1	no	—
1134	C₂	—	4	1	no	—
1135	C₂	—	4	1	no	—
1136	C₂	—	4	2	no	—
1137	C₂	—	8	2	no	—
1138	C₂	—	8	2	no	—
1139	C₂	—	8	1	no	—
1140	C₂	C₃×#3484	1	1	yes	characteristic
1141	C₂	C₃×#3585	1	1	yes	characteristic
1142	C₂	C₃×#3586	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×#3487	C₂	semidirect
3. C₃×#3333	C₂	semidirect
4. C₃×#3332	C₂	semidirect
5. C₃×#3316	C₂	semidirect
6. C₃×#3308	C₂	semidirect
7. C₃×#3277	C₂	semidirect
8. C₃×#3275	C₂	semidirect
9. C₃×#3271	C₂	semidirect
10. C₃×#3268	C₂	semidirect
11. C₃×#3224	C₂	semidirect
12. C₃×#3198	C₂	semidirect
13. C₃×#3196	C₂	semidirect
14. C₃×#3194	C₂	semidirect
15. C₃×#3121	C₂	semidirect
16. C₃×#3013	C₂	semidirect
17. C₃×#3007	C₂	semidirect
18. C₃×#3006	C₂	semidirect
19. C₃×#2978	C₂	semidirect
20. #61650	C₃	direct (N × H)
21. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂×C₃×#137	C₂²	semidirect
24. C₂×C₃×#137	C₂²	semidirect
26. C₂×C₃×#135	C₂²	semidirect
28. C₃×#554	C₂²	semidirect
32. C₃×#550	C₂²	semidirect
36. C₃×#548	C₂²	semidirect
37. C₃×#548	C₂²	semidirect
38. C₃×#547	C₂²	semidirect
40. C₃×#546	C₂²	semidirect
48. C₃×#535	C₂²	semidirect
49. C₃×#535	C₂²	semidirect
55. C₃×#519	C₂²	semidirect
56. C₃×#496	C₂²	semidirect
57. C₃×#495	C₂²	semidirect
58. C₃×#489	C₂²	semidirect
59. C₃×#486	C₂²	semidirect
60. C₃×#485	C₂²	semidirect
61. C₃×#484	C₂²	semidirect
62. C₃×#483	C₂²	semidirect
64. C₃×#481	C₂²	semidirect
65. C₃×#481	C₂²	semidirect
66. C₃×#480	C₂²	semidirect
67. C₃×#480	C₂²	semidirect
68. C₃×#477	C₂²	semidirect
69. C₃×#475	C₂²	semidirect
70. C₃×#470	C₂²	semidirect
71. C₃×#469	C₂²	semidirect
72. C₃×#469	C₂²	semidirect
73. C₃×#468	C₂²	semidirect
74. C₃×#468	C₂²	semidirect
75. C₃×#468	C₂²	semidirect
76. C₃×#466	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×#460	C₂²	semidirect
83. C₃×#459	C₂²	semidirect
86. C₃×#452	C₂²	semidirect
87. C₃×#452	C₂²	semidirect
88. C₃×#451	C₂²	semidirect
89. C₃×#451	C₂²	semidirect
90. C₃×#451	C₂²	semidirect
91. C₃×#450	C₂²	semidirect
92. C₃×#450	C₂²	semidirect
96. C₃×#449	C₂²	semidirect
97. C₃×#449	C₂²	semidirect
98. C₃×#449	C₂²	semidirect
100. C₃×#448	C₂²	semidirect
101. C₃×#448	C₂²	semidirect
103. C₃×#447	C₂²	semidirect
104. C₃×#441	C₂²	semidirect
105. C₃×#440	C₂²	semidirect
106. C₃×C₄×Q₁₆	C₂²	semidirect
107. C₃×C₄×SD₁₆	C₂²	semidirect
108. C₃×#436	C₂²	semidirect
109. C₃×#436	C₂²	semidirect
110. C₃×#435	C₂²	semidirect
111. C₃×#435	C₂²	semidirect
112. C₃×#433	C₂²	semidirect
114. C₃×#417	C₂²	semidirect
115. C₃×#417	C₂²	semidirect
116. C₂×C₃×#103	C₂²	semidirect
117. C₃×#408	C₂²	semidirect
120. #3536	C₂×C₃	semidirect
121. #3487	C₂×C₃	semidirect
122. #3333	C₂×C₃	semidirect
123. #3332	C₂×C₃	semidirect
124. #3316	C₂×C₃	semidirect
125. #3308	C₂×C₃	semidirect
126. #3277	C₂×C₃	semidirect
127. #3275	C₂×C₃	semidirect
128. #3271	C₂×C₃	semidirect
129. #3268	C₂×C₃	semidirect
130. #3224	C₂×C₃	semidirect
131. #3198	C₂×C₃	semidirect
132. #3196	C₂×C₃	semidirect
133. #3194	C₂×C₃	semidirect
134. #3121	C₂×C₃	semidirect
135. #3013	C₂×C₃	semidirect
136. #3007	C₂×C₃	semidirect
137. #3006	C₂×C₃	semidirect
138. #2978	C₂×C₃	semidirect
306. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
308. C₂×#137	C₂²×C₃	semidirect
309. C₂×#137	C₂²×C₃	semidirect
311. C₂×#135	C₂²×C₃	semidirect
313. #554	C₂²×C₃	semidirect
317. #550	C₂²×C₃	semidirect
321. #548	C₂²×C₃	semidirect
322. #548	C₂²×C₃	semidirect
323. #547	C₂²×C₃	semidirect
325. #546	C₂²×C₃	semidirect
333. #535	C₂²×C₃	semidirect
334. #535	C₂²×C₃	semidirect
340. #519	C₂²×C₃	semidirect
341. #496	C₂²×C₃	semidirect
342. #495	C₂²×C₃	semidirect
343. #489	C₂²×C₃	semidirect
344. #486	C₂²×C₃	semidirect
345. #485	C₂²×C₃	semidirect
346. #484	C₂²×C₃	semidirect
347. #483	C₂²×C₃	semidirect
349. #481	C₂²×C₃	semidirect
350. #481	C₂²×C₃	semidirect
351. #480	C₂²×C₃	semidirect
352. #480	C₂²×C₃	semidirect
353. #477	C₂²×C₃	semidirect
354. #475	C₂²×C₃	semidirect
355. #470	C₂²×C₃	semidirect
356. #469	C₂²×C₃	semidirect
357. #469	C₂²×C₃	semidirect
358. #468	C₂²×C₃	semidirect
359. #468	C₂²×C₃	semidirect
360. #468	C₂²×C₃	semidirect
361. #466	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. #460	C₂²×C₃	semidirect
368. #459	C₂²×C₃	semidirect
371. #452	C₂²×C₃	semidirect
372. #452	C₂²×C₃	semidirect
373. #451	C₂²×C₃	semidirect
374. #451	C₂²×C₃	semidirect
375. #451	C₂²×C₃	semidirect
376. #450	C₂²×C₃	semidirect
377. #450	C₂²×C₃	semidirect
381. #449	C₂²×C₃	semidirect
382. #449	C₂²×C₃	semidirect
383. #449	C₂²×C₃	semidirect
385. #448	C₂²×C₃	semidirect
386. #448	C₂²×C₃	semidirect
388. #447	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
393. #436	C₂²×C₃	semidirect
394. #436	C₂²×C₃	semidirect
395. #435	C₂²×C₃	semidirect
396. #435	C₂²×C₃	semidirect
397. #433	C₂²×C₃	semidirect
399. #417	C₂²×C₃	semidirect
400. #417	C₂²×C₃	semidirect
401. C₂×#103	C₂²×C₃	semidirect
402. #408	C₂²×C₃	semidirect
1132. C₃	#61650	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×#3487	2
C₃×#3333	2
C₃×#3332	2
C₃×#3316	2
C₃×#3308	2
C₃×#3277	2
C₃×#3275	2
C₃×#3271	2
C₃×#3268	2
C₃×#3224	2
C₃×#3198	2
C₃×#3196	2
C₃×#3194	2
C₃×#3121	2
C₃×#3013	2
C₃×#3007	2
C₃×#3006	2
C₃×#2978	2
#61650	3

Subgroups — C3×#61650 #10680257

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61650 #10680257