Subgroups — C₃×#85921 #11910503

Order 1152.

3003 conjugacy classes of subgroups.

The subgroup lattice has 1448 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃²×#120	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#953	C₂	1	2	yes	maximal, complemented
3	C₃×#5806	C₂	1	2	yes	maximal, complemented
4	C₃×#5805	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5804	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×D₄×#67	C₂	1	2	yes	maximal, complemented
7	C₃×#5595	C₂	1	2	yes	maximal, complemented
8	C₃×#5595	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5594	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5593	C₂	1	2	yes	maximal, complemented
11	C₃×#5593	C₂	1	2	yes	maximal, complemented
12	C₃×#5592	C₂	1	2	yes	maximal, complemented
13	C₃×#5591	C₂	1	2	yes	maximal, complemented
14	C₃×#5590	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5589	C₂	1	2	yes	maximal, complemented
16	C₃×#5587	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5495	C₂	1	2	yes	maximal, complemented
18	C₃×#5494	C₂	1	2	yes	maximal, complemented
19	C₃×#5490	C₂	1	2	yes	maximal, complemented
20	C₃×#3532	—	3	1	no	maximal
21	#85921	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₂⁵×C₃²	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₃²×D₄	C₂²	1	2	yes	complemented
24	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₃×#67	C₂²	1	2	yes	complemented
26	C₂²×C₃×#67	C₂²	1	2	yes	complemented
27	C₂²×C₃×#67	C₂²	1	2	yes	complemented
28	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₃×#237	C₂²	1	2	yes	complemented
30	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
31	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
32	C₃²×#120	C₂²	1	1	yes	characteristic
33	C₃²×#120	C₂²	1	2	yes	complemented
34	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#120	C₂²	1	2	yes	complemented
36	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
37	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃²×C₂²⋊C₄	C₂²	1	2	yes	complemented
39	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
40	C₃×#953	C₂²	1	2	yes	—
41	C₃×#953	C₂²	1	2	yes	complemented
42	C₃×#953	C₂²	1	2	yes	complemented
43	C₃×#953	C₂²	1	2	yes	complemented
44	C₃×#953	C₂²	1	2	yes	complemented
45	C₃×#953	C₂²	1	2	yes	complemented
46	C₃×#953	C₂²	1	2	yes	complemented
47	C₃×#953	C₂²	1	2	yes	complemented
48	C₃×#953	C₂²	1	2	yes	complemented
49	C₂×C₃×#217	C₂²	1	2	yes	complemented
50	C₂×C₃×#217	C₂²	1	2	yes	complemented
51	C₂×C₃×#217	C₂²	1	2	yes	complemented
52	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
53	C₃×#940	C₂²	1	2	yes	complemented
54	C₃×#940	C₂²	1	1	yes	characteristic, complemented
55	C₃×#940	C₂²	1	1	yes	characteristic, complemented
56	C₃×#939	C₂²	1	2	yes	complemented
57	C₃×#939	C₂²	1	2	yes	complemented
58	C₃×#939	C₂²	1	2	yes	complemented
59	C₃×#939	C₂²	1	2	yes	complemented
60	C₃×#939	C₂²	1	2	yes	complemented
61	C₃×#939	C₂²	1	2	yes	complemented
62	C₃×#938	C₂²	1	2	yes	complemented
63	C₃×#938	C₂²	1	2	yes	complemented
64	C₃×#938	C₂²	1	2	yes	complemented
65	C₃×#938	C₂²	1	2	yes	complemented
66	C₃×#937	C₂²	1	2	yes	complemented
67	C₃×#937	C₂²	1	2	yes	complemented
68	C₃×#937	C₂²	1	1	yes	characteristic, complemented
69	C₃×#937	C₂²	1	1	yes	characteristic, complemented
70	C₃×#936	C₂²	1	1	yes	characteristic, complemented
71	C₃×#936	C₂²	1	1	yes	characteristic, complemented
72	C₃×#936	C₂²	1	2	yes	complemented
73	C₃×#935	C₂²	1	1	yes	characteristic, complemented
74	C₃×#935	C₂²	1	1	yes	characteristic, complemented
75	C₃×#935	C₂²	1	2	yes	complemented
76	C₃×#935	C₂²	1	2	yes	complemented
77	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
78	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
79	C₃×#930	C₂²	1	2	yes	complemented
80	C₃×#929	C₂²	1	2	yes	complemented
81	C₃×C₄×#67	C₂²	1	2	yes	complemented
82	C₃×C₄×#67	C₂²	1	2	yes	complemented
83	C₃×#926	C₂²	1	1	yes	characteristic, complemented
84	C₃×#924	C₂²	1	2	yes	complemented
85	C₃×#886	C₂²	1	2	yes	complemented
86	C₃×#885	C₂²	1	2	yes	complemented
87	C₃×#885	C₂²	1	2	yes	complemented
88	C₃×#885	C₂²	1	2	yes	complemented
89	C₃×#885	C₂²	1	2	yes	complemented
90	C₃×#884	C₂²	1	2	yes	complemented
91	C₃×#884	C₂²	1	2	yes	complemented
92	C₃×#884	C₂²	1	2	yes	complemented
93	C₃×#884	C₂²	1	2	yes	complemented
94	C₃×#883	C₂²	1	2	yes	complemented
95	C₃×#883	C₂²	1	2	yes	complemented
96	C₃×#883	C₂²	1	2	yes	complemented
97	C₃×#883	C₂²	1	2	yes	complemented
98	C₃×#882	C₂²	1	2	yes	complemented
99	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
100	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
101	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
102	C₃×#879	C₂²	1	2	yes	complemented
103	C₃×#879	C₂²	1	2	yes	complemented
104	C₃×#879	C₂²	1	2	yes	complemented
105	C₃×#879	C₂²	1	2	yes	complemented
106	C₃×#878	C₂²	1	2	yes	complemented
107	C₃×#878	C₂²	1	2	yes	complemented
108	C₃×#877	C₂²	1	2	yes	complemented
109	C₃×H(3,𝔽₄)	—	3	1	no	—
110	C₃×#560	—	3	1	no	—
111	C₃×#560	—	3	2	no	—
112	C₃×#551	—	3	1	no	—
113	C₃×#551	—	3	2	no	—
114	C₃×#546	—	3	2	no	—
115	C₃×#546	—	3	2	no	—
116	C₃×#546	—	3	2	no	—
117	C₃×D₄²	—	3	2	no	—
118	C₃×D₄²	—	3	1	no	—
119	C₃×#538	—	3	2	no	—
120	C₃×#538	—	3	2	no	—
121	C₃×#538	—	3	2	no	—
122	C₃×#535	—	3	1	no	—
123	C₃×#535	—	3	2	no	—
124	C₃×#534	—	3	1	no	—
125	C₃×#534	—	3	2	no	—
126	C₂×C₃×#120	—	2	1	no	—
127	C₂×C₃×#120	—	3	2	no	—
128	C₂×C₃×#120	D₃	1	1	yes	characteristic, complemented
129	C₂×C₃×#120	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂×#953	C₂×C₃	1	2	yes	complemented
131	#5806	C₂×C₃	1	2	yes	complemented
132	#5805	C₂×C₃	1	1	yes	characteristic, complemented
133	#5804	C₂×C₃	1	1	yes	characteristic, complemented
134	D₄×#67	C₂×C₃	1	2	yes	complemented
135	#5595	C₂×C₃	1	2	yes	complemented
136	#5595	C₂×C₃	1	1	yes	characteristic, complemented
137	#5594	C₂×C₃	1	1	yes	characteristic, complemented
138	#5593	C₂×C₃	1	2	yes	complemented
139	#5593	C₂×C₃	1	2	yes	complemented
140	#5592	C₂×C₃	1	2	yes	complemented
141	#5591	C₂×C₃	1	2	yes	complemented
142	#5590	C₂×C₃	1	1	yes	characteristic, complemented
143	#5589	C₂×C₃	1	2	yes	complemented
144	#5587	C₂×C₃	1	1	yes	characteristic, complemented
145	#5495	C₂×C₃	1	2	yes	complemented
146	#5494	C₂×C₃	1	2	yes	complemented
147	#5490	C₂×C₃	1	2	yes	complemented
148	C₂⁴×C₃²	—	4	4	no	—
149	C₂⁴×C₃²	—	4	2	no	—
150	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
151	C₂⁴×C₃²	C₂³	1	2	yes	—
152	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
153	C₂⁴×C₃²	C₂³	1	2	yes	—
154	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
155	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
156	C₂³×C₃×D₃	C₂³	1	2	yes	—
157	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic, complemented
158	C₂×C₃²×D₄	—	4	2	no	—
159	C₂×C₃²×D₄	—	4	4	no	—
160	C₂×C₃²×D₄	C₂³	1	2	yes	—
161	C₂×C₃²×D₄	C₂³	1	2	yes	—
162	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
163	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
164	C₂×C₃²×D₄	C₂³	1	2	yes	—
165	C₂×C₃²×D₄	C₂³	1	2	yes	—
166	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
167	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
168	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
169	C₂²×C₃²×C₄	C₂³	1	2	yes	—
170	C₂×C₃×#67	—	4	4	no	—
171	C₂×C₃×#67	—	4	4	no	—
172	C₂×C₃×#67	—	4	4	no	—
173	C₂×C₃×#67	—	4	2	no	—
174	C₂×C₃×#67	C₂³	1	2	yes	—
175	C₂×C₃×#67	C₂³	1	2	yes	—
176	C₂×C₃×#67	C₂³	1	2	yes	—
177	C₂×C₃×#67	C₂³	1	2	yes	—
178	C₂×C₃×#67	C₂³	1	2	yes	—
179	C₂×C₃×#67	C₂³	1	2	yes	—
180	C₂×C₃×#67	C₂³	1	2	yes	—
181	C₂×C₃×#67	C₂³	1	2	yes	—
182	C₂×C₃×#67	C₂³	1	2	yes	—
183	C₂×C₃×#67	C₂³	1	2	yes	—
184	C₂×C₃×#67	C₂³	1	2	yes	—
185	C₂×C₃×#67	C₂³	1	2	yes	—
186	C₂×C₃×#67	C₂³	1	2	yes	complemented
187	C₂×C₃×#67	C₂³	1	2	yes	complemented
188	C₂×C₃×#67	C₂³	1	2	yes	complemented
189	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
190	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
191	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
192	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic, complemented
193	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
194	C₃×#237	—	4	4	no	—
195	C₃×D₃×D₄	—	4	4	no	—
196	C₃×#235	—	4	2	no	—
197	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
198	C₂×C₃×D₁₂	C₂³	1	2	yes	complemented
199	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
200	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
201	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
202	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
203	C₂×C₃×Dic₆	C₂³	1	2	yes	complemented
204	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₃×#217	C₂³	1	2	yes	—
212	C₃×#217	C₂³	1	2	yes	—
213	C₃×#217	C₂³	1	2	yes	—
214	C₃×#217	C₂³	1	2	yes	—
215	C₃×#217	C₂³	1	2	yes	—
216	C₃×#217	C₂³	1	2	yes	—
217	C₃×#217	C₂³	1	2	yes	—
218	C₃×#217	C₂³	1	2	yes	—
219	C₃×#217	C₂³	1	2	yes	—
220	C₃×#217	C₂³	1	2	yes	—
221	C₃×#217	C₂³	1	2	yes	—
222	C₃×#217	C₂³	1	2	yes	—
223	C₃×#217	C₂³	1	2	yes	complemented
224	C₃×#217	C₂³	1	2	yes	complemented
225	C₃×#217	C₂³	1	1	yes	characteristic, complemented
226	C₃×#217	C₂³	1	1	yes	characteristic, complemented
227	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
228	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
229	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
230	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
231	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
232	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
233	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
234	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
235	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
236	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
237	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
238	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
239	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
240	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
241	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
242	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
243	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
244	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
245	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
246	#3532	—	3	1	no	Sylow
247	C₂⁵×C₃	—	2	1	no	—
248	C₂⁵×C₃	C₂×D₃	1	1	yes	characteristic, complemented
249	C₂⁵×C₃	C₂²×C₃	1	1	yes	characteristic, complemented
250	C₂×C₃×#41	—	3	2	no	—
251	C₂×C₃×#41	—	3	1	no	—
252	C₂²×C₃×D₄	—	2	1	no	—
253	C₂²×C₃×D₄	—	2	2	no	—
254	C₂²×C₃×D₄	—	3	2	no	—
255	C₂²×C₃×D₄	—	3	2	no	—
256	C₂²×C₃×D₄	—	3	2	no	—
257	C₂²×C₃×D₄	—	3	1	no	—
258	C₂²×C₃×D₄	—	3	2	no	—
259	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
260	C₂²×C₃×D₄	C₂×D₃	1	2	yes	complemented
261	C₂²×C₃×D₄	C₂²×C₃	1	2	yes	complemented
262	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
263	C₂²×#67	C₂²×C₃	1	2	yes	complemented
264	C₂²×#67	C₂²×C₃	1	2	yes	complemented
265	C₂²×#67	C₂²×C₃	1	2	yes	complemented
266	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
267	C₂×#237	C₂²×C₃	1	2	yes	complemented
268	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
269	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
270	C₃×#127	—	3	2	no	—
271	C₃×#127	—	3	1	no	—
272	C₃×#127	—	3	1	no	—
273	C₃×#126	—	3	2	no	—
274	C₃×#126	—	3	2	no	—
275	C₃×#126	—	3	2	no	—
276	C₃×#126	—	3	2	no	—
277	C₃×#124	—	3	1	no	—
278	C₃×#124	—	3	2	no	—
279	C₃×#124	—	3	1	no	—
280	C₃×#124	—	3	2	no	—
281	C₃×#124	—	3	2	no	—
282	C₃×#124	—	3	2	no	—
283	C₃×#124	—	3	2	no	—
284	C₃×#123	—	3	1	no	—
285	C₃×#123	—	3	2	no	—
286	C₃×#123	—	3	1	no	—
287	C₃×#123	—	3	2	no	—
288	C₃×#123	—	3	2	no	—
289	C₃×#123	—	3	2	no	—
290	C₃×#123	—	3	2	no	—
291	C₃×#123	—	3	2	no	—
292	C₃×#123	—	3	2	no	—
293	C₃×#123	—	3	2	no	—
294	C₃×C₂²⋊Q₈	—	3	2	no	—
295	C₃×C₂²⋊Q₈	—	3	2	no	—
296	C₃×C₂²⋊Q₈	—	3	2	no	—
297	C₃×#121	—	3	2	no	—
298	C₃×#121	—	3	2	no	—
299	C₃×#121	—	3	2	no	—
300	C₃×#121	—	3	2	no	—
301	C₃×#121	—	3	2	no	—
302	C₃×#121	—	3	2	no	—
303	C₃×#121	—	3	2	no	—
304	C₃×#121	—	3	2	no	—
305	C₃×#121	—	3	2	no	—
306	C₃×#121	—	3	2	no	—
307	C₃×#121	—	3	2	no	—
308	C₃×#121	—	3	2	no	—
309	C₃×#121	—	3	2	no	—
310	C₃×#121	—	3	2	no	—
311	C₃×#121	—	3	2	no	—
312	C₃×#120	—	2	1	no	—
313	C₃×#120	—	2	2	no	—
314	C₃×#120	—	2	2	no	—
315	C₃×#120	—	2	1	no	—
316	C₃×#120	—	2	1	no	—
317	C₃×#120	—	2	1	no	—
318	C₃×#120	—	3	2	no	—
319	C₃×#120	—	3	2	no	—
320	C₃×#120	—	3	2	no	—
321	C₃×#120	—	3	2	no	—
322	C₃×#120	—	3	2	no	—
323	C₃×#120	—	3	2	no	—
324	C₃×#120	—	3	2	no	—
325	C₃×#120	—	3	2	no	—
326	C₃×#120	—	3	2	no	—
327	C₃×#120	—	3	1	no	—
328	C₃×#120	—	3	2	no	—
329	C₃×#120	—	3	1	no	—
330	C₃×#120	—	3	2	no	—
331	C₃×#120	—	3	2	no	—
332	C₃×#120	C₂×D₃	1	1	yes	characteristic
333	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
334	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
335	C₃×#120	C₂×D₃	1	2	yes	complemented
336	C₃×#120	C₂×D₃	1	2	yes	complemented
337	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
338	C₃×#120	C₂²×C₃	1	1	yes	characteristic
339	C₃×#120	C₂²×C₃	1	2	yes	complemented
340	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₃×#120	C₂²×C₃	1	2	yes	complemented
342	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
343	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
344	C₃×C₄×D₄	—	3	2	no	—
345	C₃×C₄×D₄	—	3	2	no	—
346	C₃×C₄×D₄	—	3	2	no	—
347	C₃×C₄×D₄	—	3	2	no	—
348	C₃×C₄×D₄	—	3	2	no	—
349	C₃×C₄×D₄	—	3	2	no	—
350	C₃×#117	—	3	1	no	—
351	C₃×#117	—	3	2	no	—
352	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
353	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
354	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
355	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
356	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
357	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
358	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
359	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
360	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	complemented
361	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
362	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
363	#953	C₂²×C₃	1	2	yes	—
364	#953	C₂²×C₃	1	2	yes	complemented
365	#953	C₂²×C₃	1	2	yes	complemented
366	#953	C₂²×C₃	1	2	yes	complemented
367	#953	C₂²×C₃	1	2	yes	complemented
368	#953	C₂²×C₃	1	2	yes	complemented
369	#953	C₂²×C₃	1	2	yes	complemented
370	#953	C₂²×C₃	1	2	yes	complemented
371	#953	C₂²×C₃	1	2	yes	complemented
372	C₂×#217	C₂²×C₃	1	2	yes	complemented
373	C₂×#217	C₂²×C₃	1	2	yes	complemented
374	C₂×#217	C₂²×C₃	1	2	yes	complemented
375	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
376	#940	C₂²×C₃	1	2	yes	complemented
377	#940	C₂²×C₃	1	1	yes	characteristic, complemented
378	#940	C₂²×C₃	1	1	yes	characteristic, complemented
379	#939	C₂²×C₃	1	2	yes	complemented
380	#939	C₂²×C₃	1	2	yes	complemented
381	#939	C₂²×C₃	1	2	yes	complemented
382	#939	C₂²×C₃	1	2	yes	complemented
383	#939	C₂²×C₃	1	2	yes	complemented
384	#939	C₂²×C₃	1	2	yes	complemented
385	#938	C₂²×C₃	1	2	yes	complemented
386	#938	C₂²×C₃	1	2	yes	complemented
387	#938	C₂²×C₃	1	2	yes	complemented
388	#938	C₂²×C₃	1	2	yes	complemented
389	#937	C₂²×C₃	1	2	yes	complemented
390	#937	C₂²×C₃	1	2	yes	complemented
391	#937	C₂²×C₃	1	1	yes	characteristic, complemented
392	#937	C₂²×C₃	1	1	yes	characteristic, complemented
393	#936	C₂²×C₃	1	1	yes	characteristic, complemented
394	#936	C₂²×C₃	1	1	yes	characteristic, complemented
395	#936	C₂²×C₃	1	2	yes	complemented
396	#935	C₂²×C₃	1	1	yes	characteristic, complemented
397	#935	C₂²×C₃	1	1	yes	characteristic, complemented
398	#935	C₂²×C₃	1	2	yes	complemented
399	#935	C₂²×C₃	1	2	yes	complemented
400	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
401	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
402	#930	C₂²×C₃	1	2	yes	complemented
403	#929	C₂²×C₃	1	2	yes	complemented
404	C₄×#67	C₂²×C₃	1	2	yes	complemented
405	C₄×#67	C₂²×C₃	1	2	yes	complemented
406	#926	C₂²×C₃	1	1	yes	characteristic, complemented
407	#924	C₂²×C₃	1	2	yes	complemented
408	#886	C₂²×C₃	1	2	yes	complemented
409	#885	C₂²×C₃	1	2	yes	complemented
410	#885	C₂²×C₃	1	2	yes	complemented
411	#885	C₂²×C₃	1	2	yes	complemented
412	#885	C₂²×C₃	1	2	yes	complemented
413	#884	C₂²×C₃	1	2	yes	complemented
414	#884	C₂²×C₃	1	2	yes	complemented
415	#884	C₂²×C₃	1	2	yes	complemented
416	#884	C₂²×C₃	1	2	yes	complemented
417	#883	C₂²×C₃	1	2	yes	complemented
418	#883	C₂²×C₃	1	2	yes	complemented
419	#883	C₂²×C₃	1	2	yes	complemented
420	#883	C₂²×C₃	1	2	yes	complemented
421	#882	C₂²×C₃	1	2	yes	complemented
422	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
423	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
424	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
425	#879	C₂²×C₃	1	2	yes	complemented
426	#879	C₂²×C₃	1	2	yes	complemented
427	#879	C₂²×C₃	1	2	yes	complemented
428	#879	C₂²×C₃	1	2	yes	complemented
429	#878	C₂²×C₃	1	2	yes	complemented
430	#878	C₂²×C₃	1	2	yes	complemented
431	#877	C₂²×C₃	1	2	yes	complemented
432	C₂³×C₃²	—	2	4	no	—
433	C₂³×C₃²	—	2	2	no	—
434	C₂³×C₃²	—	2	4	no	—
435	C₂³×C₃²	—	2	4	no	—
436	C₂³×C₃²	—	2	4	no	—
437	C₂³×C₃²	—	2	2	no	—
438	C₂³×C₃²	—	4	2	no	—
439	C₂³×C₃²	—	4	2	no	—
440	C₂³×C₃²	—	4	1	no	—
441	C₂³×C₃²	—	4	2	no	—
442	C₂³×C₃²	—	4	2	no	—
443	C₂³×C₃²	—	4	1	no	—
444	C₂³×C₃²	—	4	2	no	—
445	C₂³×C₃²	—	4	2	no	—
446	C₂³×C₃²	—	4	16	no	—
447	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
448	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
449	C₂³×C₃²	C₂⁴	1	2	yes	—
450	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
451	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
452	C₂³×C₃²	C₂⁴	1	2	yes	—
453	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
454	C₂²×C₃×D₃	—	2	4	no	—
455	C₂²×C₃×D₃	—	4	2	no	—
456	C₂²×C₃×D₃	—	4	2	no	—
457	C₂²×C₃×D₃	—	4	2	no	—
458	C₂²×C₃×D₃	—	4	1	no	—
459	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
460	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
461	C₃²×D₄	—	2	4	no	—
462	C₃²×D₄	—	2	4	no	—
463	C₃²×D₄	—	4	2	no	—
464	C₃²×D₄	—	4	1	no	—
465	C₃²×D₄	—	4	1	no	—
466	C₃²×D₄	—	4	1	no	—
467	C₃²×D₄	—	4	1	no	—
468	C₃²×D₄	—	4	2	no	—
469	C₂×C₃²×C₄	—	2	2	no	—
470	C₂×C₃²×C₄	—	4	2	no	—
471	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
472	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
473	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
474	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
475	C₃×#67	—	2	4	no	—
476	C₃×#67	—	2	4	no	—
477	C₃×#67	—	2	4	no	—
478	C₃×#67	—	2	4	no	—
479	C₃×#67	—	4	2	no	—
480	C₃×#67	—	4	2	no	—
481	C₃×#67	—	4	2	no	—
482	C₃×#67	—	4	2	no	—
483	C₃×#67	—	4	2	no	—
484	C₃×#67	—	4	2	no	—
485	C₃×#67	—	4	2	no	—
486	C₃×#67	—	4	2	no	—
487	C₃×#67	—	4	2	no	—
488	C₃×#67	—	4	2	no	—
489	C₃×#67	—	4	2	no	—
490	C₂×C₃×Dic₃	—	2	4	no	—
491	C₂×C₃×Dic₃	—	4	2	no	—
492	C₂×C₃×Dic₃	—	4	2	no	—
493	C₂×C₃×Dic₃	—	4	2	no	—
494	C₂×C₃×Dic₃	—	4	1	no	—
495	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
496	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
497	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
498	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
499	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
500	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
501	C₃×D₁₂	—	4	1	no	—
502	C₃×D₁₂	—	4	2	no	—
503	C₃×C₄×D₃	—	4	2	no	—
504	C₃×C₄×D₃	—	4	2	no	—
505	C₃×C₄×D₃	—	4	2	no	—
506	C₃×Dic₆	—	4	1	no	—
507	C₃×Dic₆	—	4	2	no	—
508	H(3,𝔽₄)	—	3	1	no	—
509	#560	—	3	1	no	—
510	#560	—	3	2	no	—
511	#551	—	3	1	no	—
512	#551	—	3	2	no	—
513	#546	—	3	2	no	—
514	#546	—	3	2	no	—
515	#546	—	3	2	no	—
516	D₄²	—	3	2	no	—
517	D₄²	—	3	1	no	—
518	#538	—	3	2	no	—
519	#538	—	3	2	no	—
520	#538	—	3	2	no	—
521	#535	—	3	1	no	—
522	#535	—	3	2	no	—
523	#534	—	3	1	no	—
524	#534	—	3	2	no	—
525	C₂×#120	—	3	2	no	—
526	C₂×#120	C₃×D₃	1	1	yes	characteristic, complemented
527	C₂⁴×C₃	—	2	2	no	—
528	C₂⁴×C₃	—	2	1	no	—
529	C₂⁴×C₃	—	2	1	no	—
530	C₂⁴×C₃	—	2	2	no	—
531	C₂⁴×C₃	—	2	1	no	—
532	C₂⁴×C₃	—	2	1	no	—
533	C₂⁴×C₃	—	3	2	no	—
534	C₂⁴×C₃	—	3	1	no	—
535	C₂⁴×C₃	—	4	4	no	—
536	C₂⁴×C₃	—	4	2	no	—
537	C₂⁴×C₃	—	4	4	no	—
538	C₂⁴×C₃	—	4	2	no	—
539	C₂⁴×C₃	—	4	8	no	—
540	C₂⁴×C₃	—	4	4	no	—
541	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
542	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
543	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
544	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
545	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
546	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
547	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
548	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
549	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
550	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
551	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
552	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
553	C₂³×D₃	C₂³×C₃	1	2	yes	—
554	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic, complemented
555	C₃×#41	—	12	2	no	—
556	C₃×#41	—	12	4	no	—
557	C₂×C₃×Q₈	—	3	2	no	—
558	C₂×C₃×Q₈	—	3	1	no	—
559	C₂×C₃×D₄	—	2	2	no	—
560	C₂×C₃×D₄	—	2	2	no	—
561	C₂×C₃×D₄	—	2	1	no	—
562	C₂×C₃×D₄	—	2	1	no	—
563	C₂×C₃×D₄	—	2	2	no	—
564	C₂×C₃×D₄	—	2	1	no	—
565	C₂×C₃×D₄	—	2	2	no	—
566	C₂×C₃×D₄	—	2	1	no	—
567	C₂×C₃×D₄	—	3	2	no	—
568	C₂×C₃×D₄	—	3	2	no	—
569	C₂×C₃×D₄	—	3	2	no	—
570	C₂×C₃×D₄	—	3	2	no	—
571	C₂×C₃×D₄	—	3	2	no	—
572	C₂×C₃×D₄	—	3	2	no	—
573	C₂×C₃×D₄	—	3	2	no	—
574	C₂×C₃×D₄	—	3	2	no	—
575	C₂×C₃×D₄	—	3	2	no	—
576	C₂×C₃×D₄	—	3	2	no	—
577	C₂×C₃×D₄	—	3	2	no	—
578	C₂×C₃×D₄	—	3	2	no	—
579	C₂×C₃×D₄	—	3	2	no	—
580	C₂×C₃×D₄	—	3	2	no	—
581	C₂×C₃×D₄	—	3	2	no	—
582	C₂×C₃×D₄	—	3	1	no	—
583	C₂×C₃×D₄	—	3	2	no	—
584	C₂×C₃×D₄	—	4	2	no	—
585	C₂×C₃×D₄	—	4	2	no	—
586	C₂×C₃×D₄	—	4	4	no	—
587	C₂×C₃×D₄	—	4	4	no	—
588	C₂×C₃×D₄	—	4	4	no	—
589	C₂×C₃×D₄	—	4	8	no	—
590	C₂×C₃×D₄	—	12	4	no	—
591	C₂×C₃×D₄	—	12	4	no	—
592	C₂×C₃×D₄	—	12	2	no	—
593	C₂×C₃×D₄	—	12	4	no	—
594	C₂×C₃×D₄	—	12	4	no	—
595	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
596	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
597	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
598	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
599	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
600	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
601	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
602	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
603	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
604	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
605	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
606	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
607	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
608	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
609	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
610	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
611	C₂²×C₃×C₄	—	2	1	no	—
612	C₂²×C₃×C₄	—	2	2	no	—
613	C₂²×C₃×C₄	—	3	2	no	—
614	C₂²×C₃×C₄	—	3	2	no	—
615	C₂²×C₃×C₄	—	3	2	no	—
616	C₂²×C₃×C₄	—	3	2	no	—
617	C₂²×C₃×C₄	—	3	1	no	—
618	C₂²×C₃×C₄	—	3	2	no	—
619	C₂²×C₃×C₄	—	3	2	no	—
620	C₂²×C₃×C₄	—	3	2	no	—
621	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
622	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
623	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
624	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
625	C₂×#67	—	4	4	no	—
626	C₂×#67	—	4	4	no	—
627	C₂×#67	—	4	4	no	—
628	C₂×#67	—	4	2	no	—
629	C₂×#67	C₂³×C₃	1	2	yes	—
630	C₂×#67	C₂³×C₃	1	2	yes	—
631	C₂×#67	C₂³×C₃	1	2	yes	—
632	C₂×#67	C₂³×C₃	1	2	yes	—
633	C₂×#67	C₂³×C₃	1	2	yes	—
634	C₂×#67	C₂³×C₃	1	2	yes	—
635	C₂×#67	C₂³×C₃	1	2	yes	—
636	C₂×#67	C₂³×C₃	1	2	yes	—
637	C₂×#67	C₂³×C₃	1	2	yes	—
638	C₂×#67	C₂³×C₃	1	2	yes	—
639	C₂×#67	C₂³×C₃	1	2	yes	—
640	C₂×#67	C₂³×C₃	1	2	yes	—
641	C₂×#67	C₂³×C₃	1	2	yes	complemented
642	C₂×#67	C₂³×C₃	1	2	yes	complemented
643	C₂×#67	C₂³×C₃	1	2	yes	complemented
644	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
645	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
646	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
647	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
648	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
649	#237	—	4	4	no	—
650	D₃×D₄	—	4	4	no	—
651	#235	—	4	2	no	—
652	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
653	C₂×D₁₂	C₂³×C₃	1	2	yes	complemented
654	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
655	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
656	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
657	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
658	C₂×Dic₆	C₂³×C₃	1	2	yes	complemented
659	C₃×C₄⋊C₄	—	3	2	no	—
660	C₃×C₄⋊C₄	—	3	2	no	—
661	C₃×C₄⋊C₄	—	3	2	no	—
662	C₃×C₄⋊C₄	—	3	2	no	—
663	C₃×C₄⋊C₄	—	3	2	no	—
664	C₃×C₄⋊C₄	—	3	2	no	—
665	C₃×C₄⋊C₄	—	3	2	no	—
666	C₃×C₄⋊C₄	—	3	2	no	—
667	C₃×C₄⋊C₄	—	3	2	no	—
668	C₃×C₂²⋊C₄	—	2	2	no	—
669	C₃×C₂²⋊C₄	—	2	2	no	—
670	C₃×C₂²⋊C₄	—	2	1	no	—
671	C₃×C₂²⋊C₄	—	2	2	no	—
672	C₃×C₂²⋊C₄	—	2	2	no	—
673	C₃×C₂²⋊C₄	—	2	2	no	—
674	C₃×C₂²⋊C₄	—	2	1	no	—
675	C₃×C₂²⋊C₄	—	3	2	no	—
676	C₃×C₂²⋊C₄	—	3	2	no	—
677	C₃×C₂²⋊C₄	—	3	2	no	—
678	C₃×C₂²⋊C₄	—	3	2	no	—
679	C₃×C₂²⋊C₄	—	3	2	no	—
680	C₃×C₂²⋊C₄	—	3	2	no	—
681	C₃×C₂²⋊C₄	—	3	2	no	—
682	C₃×C₂²⋊C₄	—	3	2	no	—
683	C₃×C₂²⋊C₄	—	3	2	no	—
684	C₃×C₂²⋊C₄	—	3	2	no	—
685	C₃×C₂²⋊C₄	—	3	2	no	—
686	C₃×C₂²⋊C₄	—	3	2	no	—
687	C₃×C₂²⋊C₄	—	3	1	no	—
688	C₃×C₂²⋊C₄	—	3	1	no	—
689	C₃×C₂²⋊C₄	—	3	2	no	—
690	C₃×C₂²⋊C₄	—	3	2	no	—
691	C₃×C₂²⋊C₄	—	3	2	no	—
692	C₃×C₂²⋊C₄	—	3	2	no	—
693	C₃×C₂²⋊C₄	—	3	2	no	—
694	C₃×C₂²⋊C₄	—	3	2	no	—
695	C₃×C₂²⋊C₄	—	3	2	no	—
696	C₃×C₂²⋊C₄	—	3	2	no	—
697	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
698	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
699	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
700	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
701	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
702	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
703	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
704	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
705	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
706	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
707	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
708	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
709	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
710	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
711	C₃×C₄²	—	3	1	no	—
712	C₃×C₄²	—	3	2	no	—
713	C₃×C₄²	—	3	1	no	—
714	C₃×C₄²	—	3	2	no	—
715	#217	C₂³×C₃	1	2	yes	—
716	#217	C₂³×C₃	1	2	yes	—
717	#217	C₂³×C₃	1	2	yes	—
718	#217	C₂³×C₃	1	2	yes	—
719	#217	C₂³×C₃	1	2	yes	—
720	#217	C₂³×C₃	1	2	yes	—
721	#217	C₂³×C₃	1	2	yes	—
722	#217	C₂³×C₃	1	2	yes	—
723	#217	C₂³×C₃	1	2	yes	—
724	#217	C₂³×C₃	1	2	yes	—
725	#217	C₂³×C₃	1	2	yes	—
726	#217	C₂³×C₃	1	2	yes	—
727	#217	C₂³×C₃	1	2	yes	complemented
728	#217	C₂³×C₃	1	2	yes	complemented
729	#217	C₂³×C₃	1	1	yes	characteristic, complemented
730	#217	C₂³×C₃	1	1	yes	characteristic, complemented
731	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
732	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
733	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
734	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
735	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
736	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
737	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
738	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
739	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
740	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
741	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
742	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
743	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
744	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
745	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
746	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
747	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
748	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
749	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
750	C₂²×C₃²	—	2	2	no	—
751	C₂²×C₃²	—	2	1	no	—
752	C₂²×C₃²	—	2	2	no	—
753	C₂²×C₃²	—	2	1	no	—
754	C₂²×C₃²	—	2	2	no	—
755	C₂²×C₃²	—	2	2	no	—
756	C₂²×C₃²	—	2	2	no	—
757	C₂²×C₃²	—	2	1	no	—
758	C₂²×C₃²	—	2	1	no	—
759	C₂²×C₃²	—	2	2	no	—
760	C₂²×C₃²	—	2	2	no	—
761	C₂²×C₃²	—	2	2	no	—
762	C₂²×C₃²	—	2	2	no	—
763	C₂²×C₃²	—	2	2	no	—
764	C₂²×C₃²	—	4	8	no	—
765	C₂²×C₃²	—	4	4	no	—
766	C₂²×C₃²	—	4	4	no	—
767	C₂²×C₃²	—	4	8	no	—
768	C₂²×C₃²	—	4	4	no	—
769	C₂²×C₃²	—	8	2	no	—
770	C₂²×C₃²	H(5,𝔽₂)	1	4	yes	—
771	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
772	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
773	C₂×C₃×D₃	—	2	2	no	—
774	C₂×C₃×D₃	—	2	2	no	—
775	C₂×C₃×D₃	—	2	2	no	—
776	C₂×C₃×D₃	—	2	2	no	—
777	C₂×C₃×D₃	—	2	2	no	—
778	C₂×C₃×D₃	—	2	2	no	—
779	C₂×C₃×D₃	—	8	4	no	—
780	C₂×C₃×D₃	—	8	2	no	—
781	C₃²×C₄	—	2	2	no	—
782	C₃²×C₄	—	2	1	no	—
783	C₃²×C₄	—	2	1	no	—
784	C₃²×C₄	—	2	2	no	—
785	C₃×Dic₃	—	2	2	no	—
786	C₃×Dic₃	—	2	2	no	—
787	C₃×Dic₃	—	2	2	no	—
788	C₃×Dic₃	—	2	2	no	—
789	C₃×Dic₃	—	2	2	no	—
790	C₃×Dic₃	—	2	2	no	—
791	C₂⁵	C₂×C₃×D₃	1	1	yes	characteristic, complemented
792	C₂×#41	—	3	2	no	—
793	C₂×#41	—	3	1	no	—
794	C₂²×D₄	—	3	2	no	—
795	C₂²×D₄	—	3	2	no	—
796	C₂²×D₄	—	3	2	no	—
797	C₂²×D₄	—	3	1	no	—
798	C₂²×D₄	—	3	2	no	—
799	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
800	C₂²×D₄	C₂×C₃×D₃	1	2	yes	complemented
801	#127	—	3	1	no	—
802	#127	—	3	2	no	—
803	#127	—	3	1	no	—
804	#126	—	3	2	no	—
805	#126	—	3	2	no	—
806	#126	—	3	2	no	—
807	#126	—	3	2	no	—
808	#124	—	3	1	no	—
809	#124	—	3	1	no	—
810	#124	—	3	2	no	—
811	#124	—	3	2	no	—
812	#124	—	3	2	no	—
813	#124	—	3	2	no	—
814	#124	—	3	2	no	—
815	#123	—	3	1	no	—
816	#123	—	3	2	no	—
817	#123	—	3	1	no	—
818	#123	—	3	2	no	—
819	#123	—	3	2	no	—
820	#123	—	3	2	no	—
821	#123	—	3	2	no	—
822	#123	—	3	2	no	—
823	#123	—	3	2	no	—
824	#123	—	3	2	no	—
825	C₂²⋊Q₈	—	3	2	no	—
826	C₂²⋊Q₈	—	3	2	no	—
827	C₂²⋊Q₈	—	3	2	no	—
828	#121	—	3	2	no	—
829	#121	—	3	2	no	—
830	#121	—	3	2	no	—
831	#121	—	3	2	no	—
832	#121	—	3	2	no	—
833	#121	—	3	2	no	—
834	#121	—	3	2	no	—
835	#121	—	3	2	no	—
836	#121	—	3	2	no	—
837	#121	—	3	2	no	—
838	#121	—	3	2	no	—
839	#121	—	3	2	no	—
840	#121	—	3	2	no	—
841	#121	—	3	2	no	—
842	#121	—	3	2	no	—
843	#120	—	3	2	no	—
844	#120	—	3	2	no	—
845	#120	—	3	2	no	—
846	#120	—	3	2	no	—
847	#120	—	3	2	no	—
848	#120	—	3	2	no	—
849	#120	—	3	2	no	—
850	#120	—	3	2	no	—
851	#120	—	3	2	no	—
852	#120	—	3	1	no	—
853	#120	—	3	1	no	—
854	#120	—	3	2	no	—
855	#120	—	3	2	no	—
856	#120	—	3	2	no	—
857	#120	C₂×C₃×D₃	1	1	yes	characteristic
858	#120	C₂×C₃×D₃	1	2	yes	complemented
859	#120	C₂×C₃×D₃	1	2	yes	complemented
860	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
861	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
862	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
863	C₄×D₄	—	3	2	no	—
864	C₄×D₄	—	3	2	no	—
865	C₄×D₄	—	3	2	no	—
866	C₄×D₄	—	3	2	no	—
867	C₄×D₄	—	3	2	no	—
868	C₄×D₄	—	3	2	no	—
869	#117	—	3	1	no	—
870	#117	—	3	2	no	—
871	C₂×C₂²⋊C₄	—	3	2	no	—
872	C₂×C₂²⋊C₄	—	3	2	no	—
873	C₂×C₂²⋊C₄	—	3	2	no	—
874	C₂×C₂²⋊C₄	—	3	1	no	—
875	C₂×C₂²⋊C₄	—	3	2	no	—
876	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
877	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
878	C₂³×C₃	—	2	8	no	—
879	C₂³×C₃	—	2	4	no	—
880	C₂³×C₃	—	2	4	no	—
881	C₂³×C₃	—	2	2	no	—
882	C₂³×C₃	—	2	4	no	—
883	C₂³×C₃	—	2	4	no	—
884	C₂³×C₃	—	2	4	no	—
885	C₂³×C₃	—	2	4	no	—
886	C₂³×C₃	—	2	4	no	—
887	C₂³×C₃	—	2	4	no	—
888	C₂³×C₃	—	2	4	no	—
889	C₂³×C₃	—	2	2	no	—
890	C₂³×C₃	—	2	2	no	—
891	C₂³×C₃	—	2	2	no	—
892	C₂³×C₃	—	2	1	no	—
893	C₂³×C₃	—	2	2	no	—
894	C₂³×C₃	—	2	1	no	—
895	C₂³×C₃	—	2	1	no	—
896	C₂³×C₃	—	2	2	no	—
897	C₂³×C₃	—	2	1	no	—
898	C₂³×C₃	—	2	1	no	—
899	C₂³×C₃	—	3	2	no	—
900	C₂³×C₃	—	3	2	no	—
901	C₂³×C₃	—	4	4	no	—
902	C₂³×C₃	—	4	4	no	—
903	C₂³×C₃	—	4	4	no	—
904	C₂³×C₃	—	4	2	no	—
905	C₂³×C₃	—	4	2	no	—
906	C₂³×C₃	—	4	2	no	—
907	C₂³×C₃	—	4	1	no	—
908	C₂³×C₃	—	4	2	no	—
909	C₂³×C₃	—	4	2	no	—
910	C₂³×C₃	—	4	1	no	—
911	C₂³×C₃	—	4	2	no	—
912	C₂³×C₃	—	4	1	no	—
913	C₂³×C₃	—	4	2	no	—
914	C₂³×C₃	—	4	2	no	—
915	C₂³×C₃	—	4	2	no	—
916	C₂³×C₃	—	4	2	no	—
917	C₂³×C₃	—	4	1	no	—
918	C₂³×C₃	—	4	2	no	—
919	C₂³×C₃	—	4	2	no	—
920	C₂³×C₃	—	4	2	no	—
921	C₂³×C₃	—	4	4	no	—
922	C₂³×C₃	—	4	4	no	—
923	C₂³×C₃	—	4	2	no	—
924	C₂³×C₃	—	4	4	no	—
925	C₂³×C₃	—	4	4	no	—
926	C₂³×C₃	—	4	4	no	—
927	C₂³×C₃	—	4	2	no	—
928	C₂³×C₃	—	4	4	no	—
929	C₂³×C₃	—	4	16	no	—
930	C₂³×C₃	—	4	16	no	—
931	C₂³×C₃	—	4	32	no	—
932	C₂³×C₃	—	6	4	no	—
933	C₂³×C₃	—	12	2	no	—
934	C₂³×C₃	—	12	2	no	—
935	C₂³×C₃	—	12	1	no	—
936	C₂³×C₃	—	12	2	no	—
937	C₂³×C₃	C₂³×D₃	1	2	yes	—
938	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
939	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
940	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
941	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
942	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
943	C₂³×C₃	C₂³×D₃	1	2	yes	—
944	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
945	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
946	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
947	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
948	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
949	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
950	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
951	C₂²×D₃	—	2	4	no	—
952	C₂²×D₃	—	4	2	no	—
953	C₂²×D₃	—	4	2	no	—
954	C₂²×D₃	—	4	2	no	—
955	C₂²×D₃	—	4	1	no	—
956	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
957	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
958	C₃×Q₈	—	12	1	no	—
959	C₃×Q₈	—	12	2	no	—
960	C₃×D₄	—	2	4	no	—
961	C₃×D₄	—	2	4	no	—
962	C₃×D₄	—	2	4	no	—
963	C₃×D₄	—	2	4	no	—
964	C₃×D₄	—	4	4	no	—
965	C₃×D₄	—	4	4	no	—
966	C₃×D₄	—	4	1	no	—
967	C₃×D₄	—	4	1	no	—
968	C₃×D₄	—	4	1	no	—
969	C₃×D₄	—	4	1	no	—
970	C₃×D₄	—	4	2	no	—
971	C₃×D₄	—	4	2	no	—
972	C₃×D₄	—	4	2	no	—
973	C₃×D₄	—	4	1	no	—
974	C₃×D₄	—	4	1	no	—
975	C₃×D₄	—	4	1	no	—
976	C₃×D₄	—	4	1	no	—
977	C₃×D₄	—	4	2	no	—
978	C₃×D₄	—	4	2	no	—
979	C₃×D₄	—	4	2	no	—
980	C₃×D₄	—	4	2	no	—
981	C₃×D₄	—	4	2	no	—
982	C₃×D₄	—	4	4	no	—
983	C₃×D₄	—	4	4	no	—
984	C₃×D₄	—	6	4	no	—
985	C₃×D₄	—	6	4	no	—
986	C₃×D₄	—	6	4	no	—
987	C₃×D₄	—	6	4	no	—
988	C₃×D₄	—	12	2	no	—
989	C₃×D₄	—	12	1	no	—
990	C₃×D₄	—	12	2	no	—
991	C₃×D₄	—	12	2	no	—
992	C₃×D₄	—	12	2	no	—
993	C₃×D₄	—	12	2	no	—
994	C₃×D₄	—	12	2	no	—
995	C₃×D₄	—	12	2	no	—
996	C₃×D₄	—	12	2	no	—
997	C₃×D₄	—	12	2	no	—
998	C₃×D₄	—	12	2	no	—
999	C₃×D₄	—	12	2	no	—
1000	C₃×D₄	—	12	2	no	—
1001	C₂×C₃×C₄	—	2	2	no	—
1002	C₂×C₃×C₄	—	2	2	no	—
1003	C₂×C₃×C₄	—	2	1	no	—
1004	C₂×C₃×C₄	—	2	2	no	—
1005	C₂×C₃×C₄	—	2	2	no	—
1006	C₂×C₃×C₄	—	2	1	no	—
1007	C₂×C₃×C₄	—	3	2	no	—
1008	C₂×C₃×C₄	—	3	2	no	—
1009	C₂×C₃×C₄	—	3	2	no	—
1010	C₂×C₃×C₄	—	3	2	no	—
1011	C₂×C₃×C₄	—	3	2	no	—
1012	C₂×C₃×C₄	—	3	2	no	—
1013	C₂×C₃×C₄	—	4	2	no	—
1014	C₂×C₃×C₄	—	4	2	no	—
1015	C₂×C₃×C₄	—	4	2	no	—
1016	C₂×C₃×C₄	—	4	4	no	—
1017	C₂×C₃×C₄	—	6	4	no	—
1018	C₂×C₃×C₄	—	12	2	no	—
1019	C₂×C₃×C₄	—	12	2	no	—
1020	C₂×C₃×C₄	—	12	2	no	—
1021	C₂×C₃×C₄	—	12	1	no	—
1022	C₂×C₃×C₄	—	12	2	no	—
1023	C₂×C₃×C₄	—	12	2	no	—
1024	C₂×C₃×C₄	—	12	2	no	—
1025	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1026	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1027	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1028	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1029	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1030	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1031	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1032	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1033	#67	—	2	4	no	—
1034	#67	—	2	4	no	—
1035	#67	—	2	4	no	—
1036	#67	—	2	4	no	—
1037	#67	—	4	2	no	—
1038	#67	—	4	2	no	—
1039	#67	—	4	2	no	—
1040	#67	—	4	2	no	—
1041	#67	—	4	2	no	—
1042	#67	—	4	2	no	—
1043	#67	—	4	2	no	—
1044	#67	—	4	2	no	—
1045	#67	—	4	2	no	—
1046	#67	—	4	2	no	—
1047	#67	—	4	2	no	—
1048	C₂×Dic₃	—	2	4	no	—
1049	C₂×Dic₃	—	4	2	no	—
1050	C₂×Dic₃	—	4	2	no	—
1051	C₂×Dic₃	—	4	2	no	—
1052	C₂×Dic₃	—	4	1	no	—
1053	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1054	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1055	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1056	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1057	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1058	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1059	D₁₂	—	4	1	no	—
1060	D₁₂	—	4	2	no	—
1061	C₄×D₃	—	4	2	no	—
1062	C₄×D₃	—	4	2	no	—
1063	C₄×D₃	—	4	2	no	—
1064	Dic₆	—	4	1	no	—
1065	Dic₆	—	4	2	no	—
1066	C₂×C₃²	—	2	2	no	—
1067	C₂×C₃²	—	2	4	no	—
1068	C₂×C₃²	—	4	2	no	—
1069	C₂×C₃²	—	4	1	no	—
1070	C₂×C₃²	—	4	1	no	—
1071	C₂×C₃²	—	4	1	no	—
1072	C₂×C₃²	—	4	1	no	—
1073	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1074	C₂×C₃²	C₂×H(5,𝔽₂)	1	2	yes	—
1075	C₃×D₃	—	4	2	no	—
1076	C₃×D₃	—	4	2	no	—
1077	C₂⁴	—	3	2	no	—
1078	C₂⁴	—	3	1	no	—
1079	C₂⁴	—	4	4	no	—
1080	C₂⁴	—	4	2	no	—
1081	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1082	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1083	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1084	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1085	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1086	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1087	#41	—	12	2	no	—
1088	#41	—	12	4	no	—
1089	C₂×Q₈	—	3	2	no	—
1090	C₂×Q₈	—	3	1	no	—
1091	C₂×D₄	—	3	2	no	—
1092	C₂×D₄	—	3	2	no	—
1093	C₂×D₄	—	3	2	no	—
1094	C₂×D₄	—	3	2	no	—
1095	C₂×D₄	—	3	2	no	—
1096	C₂×D₄	—	3	2	no	—
1097	C₂×D₄	—	3	2	no	—
1098	C₂×D₄	—	3	2	no	—
1099	C₂×D₄	—	3	2	no	—
1100	C₂×D₄	—	3	2	no	—
1101	C₂×D₄	—	3	2	no	—
1102	C₂×D₄	—	3	2	no	—
1103	C₂×D₄	—	3	2	no	—
1104	C₂×D₄	—	3	2	no	—
1105	C₂×D₄	—	3	2	no	—
1106	C₂×D₄	—	3	1	no	—
1107	C₂×D₄	—	3	2	no	—
1108	C₂×D₄	—	4	2	no	—
1109	C₂×D₄	—	4	4	no	—
1110	C₂×D₄	—	12	4	no	—
1111	C₂×D₄	—	12	4	no	—
1112	C₂×D₄	—	12	2	no	—
1113	C₂×D₄	—	12	4	no	—
1114	C₂×D₄	—	12	4	no	—
1115	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1116	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1117	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1118	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1119	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1120	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1121	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1122	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1123	C₂²×C₄	—	3	2	no	—
1124	C₂²×C₄	—	3	2	no	—
1125	C₂²×C₄	—	3	2	no	—
1126	C₂²×C₄	—	3	2	no	—
1127	C₂²×C₄	—	3	1	no	—
1128	C₂²×C₄	—	3	2	no	—
1129	C₂²×C₄	—	3	2	no	—
1130	C₂²×C₄	—	3	2	no	—
1131	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1132	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1133	C₄⋊C₄	—	3	2	no	—
1134	C₄⋊C₄	—	3	2	no	—
1135	C₄⋊C₄	—	3	2	no	—
1136	C₄⋊C₄	—	3	2	no	—
1137	C₄⋊C₄	—	3	2	no	—
1138	C₄⋊C₄	—	3	2	no	—
1139	C₄⋊C₄	—	3	2	no	—
1140	C₄⋊C₄	—	3	2	no	—
1141	C₄⋊C₄	—	3	2	no	—
1142	C₂²⋊C₄	—	3	2	no	—
1143	C₂²⋊C₄	—	3	2	no	—
1144	C₂²⋊C₄	—	3	2	no	—
1145	C₂²⋊C₄	—	3	2	no	—
1146	C₂²⋊C₄	—	3	2	no	—
1147	C₂²⋊C₄	—	3	2	no	—
1148	C₂²⋊C₄	—	3	2	no	—
1149	C₂²⋊C₄	—	3	2	no	—
1150	C₂²⋊C₄	—	3	2	no	—
1151	C₂²⋊C₄	—	3	2	no	—
1152	C₂²⋊C₄	—	3	2	no	—
1153	C₂²⋊C₄	—	3	2	no	—
1154	C₂²⋊C₄	—	3	1	no	—
1155	C₂²⋊C₄	—	3	1	no	—
1156	C₂²⋊C₄	—	3	2	no	—
1157	C₂²⋊C₄	—	3	2	no	—
1158	C₂²⋊C₄	—	3	2	no	—
1159	C₂²⋊C₄	—	3	2	no	—
1160	C₂²⋊C₄	—	3	2	no	—
1161	C₂²⋊C₄	—	3	2	no	—
1162	C₂²⋊C₄	—	3	2	no	—
1163	C₂²⋊C₄	—	3	2	no	—
1164	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1165	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1166	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1167	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1168	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1169	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1170	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1171	C₄²	—	3	1	no	—
1172	C₄²	—	3	2	no	—
1173	C₄²	—	3	1	no	—
1174	C₄²	—	3	2	no	—
1175	C₂²×C₃	—	2	4	no	—
1176	C₂²×C₃	—	2	2	no	—
1177	C₂²×C₃	—	2	2	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	—	2	2	no	—
1180	C₂²×C₃	—	2	2	no	—
1181	C₂²×C₃	—	2	2	no	—
1182	C₂²×C₃	—	2	4	no	—
1183	C₂²×C₃	—	2	2	no	—
1184	C₂²×C₃	—	2	2	no	—
1185	C₂²×C₃	—	2	2	no	—
1186	C₂²×C₃	—	2	1	no	—
1187	C₂²×C₃	—	2	2	no	—
1188	C₂²×C₃	—	2	1	no	—
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	2	no	—
1191	C₂²×C₃	—	2	1	no	—
1192	C₂²×C₃	—	2	2	no	—
1193	C₂²×C₃	—	2	2	no	—
1194	C₂²×C₃	—	2	2	no	—
1195	C₂²×C₃	—	2	2	no	—
1196	C₂²×C₃	—	2	2	no	—
1197	C₂²×C₃	—	2	1	no	—
1198	C₂²×C₃	—	2	1	no	—
1199	C₂²×C₃	—	2	2	no	—
1200	C₂²×C₃	—	2	2	no	—
1201	C₂²×C₃	—	2	2	no	—
1202	C₂²×C₃	—	2	2	no	—
1203	C₂²×C₃	—	2	2	no	—
1204	C₂²×C₃	—	2	1	no	—
1205	C₂²×C₃	—	2	2	no	—
1206	C₂²×C₃	—	2	1	no	—
1207	C₂²×C₃	—	2	2	no	—
1208	C₂²×C₃	—	2	4	no	—
1209	C₂²×C₃	—	2	1	no	—
1210	C₂²×C₃	—	4	2	no	—
1211	C₂²×C₃	—	4	2	no	—
1212	C₂²×C₃	—	4	2	no	—
1213	C₂²×C₃	—	4	2	no	—
1214	C₂²×C₃	—	4	2	no	—
1215	C₂²×C₃	—	4	2	no	—
1216	C₂²×C₃	—	4	2	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	—	4	2	no	—
1219	C₂²×C₃	—	4	1	no	—
1220	C₂²×C₃	—	4	4	no	—
1221	C₂²×C₃	—	4	8	no	—
1222	C₂²×C₃	—	4	8	no	—
1223	C₂²×C₃	—	4	4	no	—
1224	C₂²×C₃	—	4	16	no	—
1225	C₂²×C₃	—	4	8	no	—
1226	C₂²×C₃	—	4	8	no	—
1227	C₂²×C₃	—	4	4	no	—
1228	C₂²×C₃	—	4	4	no	—
1229	C₂²×C₃	—	4	8	no	—
1230	C₂²×C₃	—	4	8	no	—
1231	C₂²×C₃	—	4	16	no	—
1232	C₂²×C₃	—	4	8	no	—
1233	C₂²×C₃	—	4	4	no	—
1234	C₂²×C₃	—	4	4	no	—
1235	C₂²×C₃	—	6	2	no	—
1236	C₂²×C₃	—	6	2	no	—
1237	C₂²×C₃	—	6	2	no	—
1238	C₂²×C₃	—	6	2	no	—
1239	C₂²×C₃	—	6	2	no	—
1240	C₂²×C₃	—	6	2	no	—
1241	C₂²×C₃	—	8	2	no	—
1242	C₂²×C₃	—	8	2	no	—
1243	C₂²×C₃	—	8	4	no	—
1244	C₂²×C₃	—	24	4	no	—
1245	C₂²×C₃	—	24	2	no	—
1246	C₂²×C₃	#1004	1	2	yes	—
1247	C₂²×C₃	#1004	1	4	yes	—
1248	C₂²×C₃	C₃×H(5,𝔽₂)	1	4	yes	—
1249	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
1250	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1251	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1252	C₂×D₃	—	2	2	no	—
1253	C₂×D₃	—	2	2	no	—
1254	C₂×D₃	—	2	2	no	—
1255	C₂×D₃	—	2	2	no	—
1256	C₂×D₃	—	2	2	no	—
1257	C₂×D₃	—	2	2	no	—
1258	C₂×D₃	—	8	4	no	—
1259	C₂×D₃	—	8	2	no	—
1260	C₃×C₄	—	2	1	no	—
1261	C₃×C₄	—	2	1	no	—
1262	C₃×C₄	—	2	2	no	—
1263	C₃×C₄	—	2	2	no	—
1264	C₃×C₄	—	2	2	no	—
1265	C₃×C₄	—	2	1	no	—
1266	C₃×C₄	—	2	1	no	—
1267	C₃×C₄	—	2	2	no	—
1268	C₃×C₄	—	4	1	no	—
1269	C₃×C₄	—	4	1	no	—
1270	C₃×C₄	—	4	2	no	—
1271	C₃×C₄	—	4	2	no	—
1272	C₃×C₄	—	6	2	no	—
1273	C₃×C₄	—	6	2	no	—
1274	C₃×C₄	—	6	2	no	—
1275	C₃×C₄	—	6	2	no	—
1276	C₃×C₄	—	6	2	no	—
1277	C₃×C₄	—	6	2	no	—
1278	Dic₃	—	2	2	no	—
1279	Dic₃	—	2	2	no	—
1280	Dic₃	—	2	2	no	—
1281	Dic₃	—	2	2	no	—
1282	Dic₃	—	2	2	no	—
1283	Dic₃	—	2	2	no	—
1284	C₃²	#3532	1	1	yes	characteristic, complemented, Sylow
1285	C₂³	—	2	4	no	—
1286	C₂³	—	2	2	no	—
1287	C₂³	—	2	4	no	—
1288	C₂³	—	2	4	no	—
1289	C₂³	—	2	4	no	—
1290	C₂³	—	2	2	no	—
1291	C₂³	—	3	2	no	—
1292	C₂³	—	3	2	no	—
1293	C₂³	—	4	2	no	—
1294	C₂³	—	4	2	no	—
1295	C₂³	—	4	1	no	—
1296	C₂³	—	4	2	no	—
1297	C₂³	—	4	2	no	—
1298	C₂³	—	4	1	no	—
1299	C₂³	—	4	2	no	—
1300	C₂³	—	4	2	no	—
1301	C₂³	—	4	16	no	—
1302	C₂³	—	6	4	no	—
1303	C₂³	—	12	2	no	—
1304	C₂³	—	12	2	no	—
1305	C₂³	—	12	1	no	—
1306	C₂³	—	12	2	no	—
1307	C₂³	C₂³×C₃×D₃	1	2	yes	—
1308	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1309	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1310	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1311	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1312	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1313	C₂³	C₂³×C₃×D₃	1	2	yes	—
1314	Q₈	—	12	1	no	—
1315	Q₈	—	12	2	no	—
1316	D₄	—	2	4	no	—
1317	D₄	—	2	4	no	—
1318	D₄	—	4	1	no	—
1319	D₄	—	4	1	no	—
1320	D₄	—	4	1	no	—
1321	D₄	—	4	1	no	—
1322	D₄	—	4	2	no	—
1323	D₄	—	4	2	no	—
1324	D₄	—	6	4	no	—
1325	D₄	—	6	4	no	—
1326	D₄	—	6	4	no	—
1327	D₄	—	6	4	no	—
1328	D₄	—	12	2	no	—
1329	D₄	—	12	1	no	—
1330	D₄	—	12	2	no	—
1331	D₄	—	12	2	no	—
1332	D₄	—	12	2	no	—
1333	D₄	—	12	2	no	—
1334	D₄	—	12	2	no	—
1335	D₄	—	12	2	no	—
1336	D₄	—	12	2	no	—
1337	D₄	—	12	2	no	—
1338	D₄	—	12	2	no	—
1339	D₄	—	12	2	no	—
1340	D₄	—	12	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	3	2	no	—
1343	C₂×C₄	—	3	2	no	—
1344	C₂×C₄	—	3	2	no	—
1345	C₂×C₄	—	3	2	no	—
1346	C₂×C₄	—	3	2	no	—
1347	C₂×C₄	—	3	2	no	—
1348	C₂×C₄	—	4	2	no	—
1349	C₂×C₄	—	6	4	no	—
1350	C₂×C₄	—	12	2	no	—
1351	C₂×C₄	—	12	2	no	—
1352	C₂×C₄	—	12	2	no	—
1353	C₂×C₄	—	12	1	no	—
1354	C₂×C₄	—	12	2	no	—
1355	C₂×C₄	—	12	2	no	—
1356	C₂×C₄	—	12	2	no	—
1357	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1358	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1359	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1360	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1361	C₂×C₃	—	2	4	no	—
1362	C₂×C₃	—	2	4	no	—
1363	C₂×C₃	—	2	2	no	—
1364	C₂×C₃	—	2	2	no	—
1365	C₂×C₃	—	2	4	no	—
1366	C₂×C₃	—	2	2	no	—
1367	C₂×C₃	—	2	1	no	—
1368	C₂×C₃	—	4	4	no	—
1369	C₂×C₃	—	4	4	no	—
1370	C₂×C₃	—	4	2	no	—
1371	C₂×C₃	—	4	2	no	—
1372	C₂×C₃	—	4	1	no	—
1373	C₂×C₃	—	4	1	no	—
1374	C₂×C₃	—	4	2	no	—
1375	C₂×C₃	—	4	1	no	—
1376	C₂×C₃	—	4	1	no	—
1377	C₂×C₃	—	4	2	no	—
1378	C₂×C₃	—	4	1	no	—
1379	C₂×C₃	—	4	1	no	—
1380	C₂×C₃	—	4	1	no	—
1381	C₂×C₃	—	4	1	no	—
1382	C₂×C₃	—	8	1	no	—
1383	C₂×C₃	—	8	1	no	—
1384	C₂×C₃	—	12	2	no	—
1385	C₂×C₃	—	12	2	no	—
1386	C₂×C₃	C₂×#1004	1	1	yes	characteristic
1387	C₂×C₃	C₂×#1004	1	2	yes	—
1388	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1389	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1390	D₃	—	4	2	no	—
1391	D₃	—	4	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	1	no	—
1399	C₂²	—	2	1	no	—
1400	C₂²	—	2	2	no	—
1401	C₂²	—	2	1	no	—
1402	C₂²	—	2	2	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	2	2	no	—
1405	C₂²	—	2	2	no	—
1406	C₂²	—	4	8	no	—
1407	C₂²	—	4	4	no	—
1408	C₂²	—	4	4	no	—
1409	C₂²	—	4	8	no	—
1410	C₂²	—	4	4	no	—
1411	C₂²	—	6	2	no	—
1412	C₂²	—	6	2	no	—
1413	C₂²	—	6	2	no	—
1414	C₂²	—	6	2	no	—
1415	C₂²	—	6	2	no	—
1416	C₂²	—	6	2	no	—
1417	C₂²	—	8	2	no	—
1418	C₂²	—	24	4	no	—
1419	C₂²	—	24	2	no	—
1420	C₂²	C₃×#1004	1	2	yes	—
1421	C₂²	C₃×#1004	1	4	yes	—
1422	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1423	C₄	—	2	1	no	—
1424	C₄	—	2	1	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	6	2	no	—
1428	C₄	—	6	2	no	—
1429	C₄	—	6	2	no	—
1430	C₄	—	6	2	no	—
1431	C₄	—	6	2	no	—
1432	C₄	—	6	2	no	—
1433	C₃	—	2	1	no	—
1434	C₃	#85921	1	1	yes	characteristic, direct product factor
1435	C₃	C₃×#3532	1	1	yes	characteristic, complemented
1436	C₂	—	2	2	no	—
1437	C₂	—	2	4	no	—
1438	C₂	—	4	2	no	—
1439	C₂	—	4	1	no	—
1440	C₂	—	4	1	no	—
1441	C₂	—	4	1	no	—
1442	C₂	—	4	1	no	—
1443	C₂	—	12	2	no	—
1444	C₂	—	12	2	no	—
1445	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1446	C₂	C₂×C₃×#1004	1	2	yes	—

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₂×C₃²×#120	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₂×C₃×#120	D₃
hypocenter	C₃	C₃×#3532
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₂×C₃×#120

Complements

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

N	H ≅ G/N	type
1. C₂×C₃²×#120	C₂	semidirect
2. C₂×C₃×#953	C₂	semidirect
3. C₃×#5806	C₂	semidirect
4. C₃×#5805	C₂	semidirect
5. C₃×#5804	C₂	semidirect
6. C₃×D₄×#67	C₂	semidirect
7. C₃×#5595	C₂	semidirect
8. C₃×#5595	C₂	semidirect
9. C₃×#5594	C₂	semidirect
10. C₃×#5593	C₂	semidirect
11. C₃×#5593	C₂	semidirect
12. C₃×#5592	C₂	semidirect
13. C₃×#5591	C₂	semidirect
14. C₃×#5590	C₂	semidirect
15. C₃×#5589	C₂	semidirect
16. C₃×#5587	C₂	semidirect
17. C₃×#5495	C₂	semidirect
18. C₃×#5494	C₂	semidirect
19. C₃×#5490	C₂	semidirect
21. #85921	C₃	direct (N × H)
22. C₂⁵×C₃²	C₂²	semidirect
23. C₂²×C₃²×D₄	C₂²	semidirect
24. C₂²×C₃²×D₄	C₂²	semidirect
25. C₂²×C₃×#67	C₂²	semidirect
26. C₂²×C₃×#67	C₂²	semidirect
27. C₂²×C₃×#67	C₂²	semidirect
28. C₂²×C₃×#67	C₂²	semidirect
29. C₂×C₃×#237	C₂²	semidirect
30. C₂×C₃×D₃×D₄	C₂²	semidirect
31. C₂×C₃×#235	C₂²	semidirect
33. C₃²×#120	C₂²	semidirect
34. C₃²×#120	C₂²	semidirect
35. C₃²×#120	C₂²	semidirect
36. C₃²×#120	C₂²	semidirect
37. C₃²×#120	C₂²	semidirect
38. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
39. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
41. C₃×#953	C₂²	semidirect
42. C₃×#953	C₂²	semidirect
43. C₃×#953	C₂²	semidirect
44. C₃×#953	C₂²	semidirect
45. C₃×#953	C₂²	semidirect
46. C₃×#953	C₂²	semidirect
47. C₃×#953	C₂²	semidirect
48. C₃×#953	C₂²	semidirect
49. C₂×C₃×#217	C₂²	semidirect
50. C₂×C₃×#217	C₂²	semidirect
51. C₂×C₃×#217	C₂²	semidirect
52. C₂×C₃×#217	C₂²	semidirect
53. C₃×#940	C₂²	semidirect
54. C₃×#940	C₂²	semidirect
55. C₃×#940	C₂²	semidirect
56. C₃×#939	C₂²	semidirect
57. C₃×#939	C₂²	semidirect
58. C₃×#939	C₂²	semidirect
59. C₃×#939	C₂²	semidirect
60. C₃×#939	C₂²	semidirect
61. C₃×#939	C₂²	semidirect
62. C₃×#938	C₂²	semidirect
63. C₃×#938	C₂²	semidirect
64. C₃×#938	C₂²	semidirect
65. C₃×#938	C₂²	semidirect
66. C₃×#937	C₂²	semidirect
67. C₃×#937	C₂²	semidirect
68. C₃×#937	C₂²	semidirect
69. C₃×#937	C₂²	semidirect
70. C₃×#936	C₂²	semidirect
71. C₃×#936	C₂²	semidirect
72. C₃×#936	C₂²	semidirect
73. C₃×#935	C₂²	semidirect
74. C₃×#935	C₂²	semidirect
75. C₃×#935	C₂²	semidirect
76. C₃×#935	C₂²	semidirect
77. C₃×D₄×Dic₃	C₂²	semidirect
78. C₃×D₄×Dic₃	C₂²	semidirect
79. C₃×#930	C₂²	semidirect
80. C₃×#929	C₂²	semidirect
81. C₃×C₄×#67	C₂²	semidirect
82. C₃×C₄×#67	C₂²	semidirect
83. C₃×#926	C₂²	semidirect
84. C₃×#924	C₂²	semidirect
85. C₃×#886	C₂²	semidirect
86. C₃×#885	C₂²	semidirect
87. C₃×#885	C₂²	semidirect
88. C₃×#885	C₂²	semidirect
89. C₃×#885	C₂²	semidirect
90. C₃×#884	C₂²	semidirect
91. C₃×#884	C₂²	semidirect
92. C₃×#884	C₂²	semidirect
93. C₃×#884	C₂²	semidirect
94. C₃×#883	C₂²	semidirect
95. C₃×#883	C₂²	semidirect
96. C₃×#883	C₂²	semidirect
97. C₃×#883	C₂²	semidirect
98. C₃×#882	C₂²	semidirect
99. C₃×#67⋊C₄	C₂²	semidirect
100. C₃×#67⋊C₄	C₂²	semidirect
101. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
102. C₃×#879	C₂²	semidirect
103. C₃×#879	C₂²	semidirect
104. C₃×#879	C₂²	semidirect
105. C₃×#879	C₂²	semidirect
106. C₃×#878	C₂²	semidirect
107. C₃×#878	C₂²	semidirect
108. C₃×#877	C₂²	semidirect
128. C₂×C₃×#120	D₃	semidirect
129. C₂×C₃×#120	C₂×C₃	semidirect
130. C₂×#953	C₂×C₃	semidirect
131. #5806	C₂×C₃	semidirect
132. #5805	C₂×C₃	semidirect
133. #5804	C₂×C₃	semidirect
134. D₄×#67	C₂×C₃	semidirect
135. #5595	C₂×C₃	semidirect
136. #5595	C₂×C₃	semidirect
137. #5594	C₂×C₃	semidirect
138. #5593	C₂×C₃	semidirect
139. #5593	C₂×C₃	semidirect
140. #5592	C₂×C₃	semidirect
141. #5591	C₂×C₃	semidirect
142. #5590	C₂×C₃	semidirect
143. #5589	C₂×C₃	semidirect
144. #5587	C₂×C₃	semidirect
145. #5495	C₂×C₃	semidirect
146. #5494	C₂×C₃	semidirect
147. #5490	C₂×C₃	semidirect
157. C₂³×C₃×D₃	C₂³	semidirect
186. C₂×C₃×#67	C₂³	semidirect
187. C₂×C₃×#67	C₂³	semidirect
188. C₂×C₃×#67	C₂³	semidirect
192. C₂²×C₃×Dic₃	C₂³	semidirect
193. C₂²×C₃×Dic₃	C₂³	semidirect
197. C₂×C₃×D₁₂	C₂³	semidirect
198. C₂×C₃×D₁₂	C₂³	semidirect
199. C₂×C₃×C₄×D₃	C₂³	semidirect
200. C₂×C₃×C₄×D₃	C₂³	semidirect
201. C₂×C₃×C₄×D₃	C₂³	semidirect
202. C₂×C₃×Dic₆	C₂³	semidirect
203. C₂×C₃×Dic₆	C₂³	semidirect
223. C₃×#217	C₂³	semidirect
224. C₃×#217	C₂³	semidirect
225. C₃×#217	C₂³	semidirect
226. C₃×#217	C₂³	semidirect
227. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
228. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
229. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
230. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
231. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
232. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
233. C₃×C₄⋊Dic₃	C₂³	semidirect
234. C₃×C₄⋊Dic₃	C₂³	semidirect
235. C₃×C₄⋊Dic₃	C₂³	semidirect
236. C₃×Dic₃⋊C₄	C₂³	semidirect
237. C₃×Dic₃⋊C₄	C₂³	semidirect
238. C₃×Dic₃⋊C₄	C₂³	semidirect
239. C₃×Dic₃⋊C₄	C₂³	semidirect
240. C₃×Dic₃⋊C₄	C₂³	semidirect
241. C₃×Dic₃⋊C₄	C₂³	semidirect
242. C₃×C₄×Dic₃	C₂³	semidirect
243. C₃×C₄×Dic₃	C₂³	semidirect
244. C₃×C₄×Dic₃	C₂³	semidirect
245. C₃×C₄×Dic₃	C₂³	semidirect
248. C₂⁵×C₃	C₂×D₃	semidirect
249. C₂⁵×C₃	C₂²×C₃	semidirect
259. C₂²×C₃×D₄	C₂×D₃	semidirect
260. C₂²×C₃×D₄	C₂×D₃	semidirect
261. C₂²×C₃×D₄	C₂²×C₃	semidirect
262. C₂²×C₃×D₄	C₂²×C₃	semidirect
263. C₂²×#67	C₂²×C₃	semidirect
264. C₂²×#67	C₂²×C₃	semidirect
265. C₂²×#67	C₂²×C₃	semidirect
266. C₂²×#67	C₂²×C₃	semidirect
267. C₂×#237	C₂²×C₃	semidirect
268. C₂×D₃×D₄	C₂²×C₃	semidirect
269. C₂×#235	C₂²×C₃	semidirect
333. C₃×#120	C₂×D₃	semidirect
334. C₃×#120	C₂×D₃	semidirect
335. C₃×#120	C₂×D₃	semidirect
336. C₃×#120	C₂×D₃	semidirect
337. C₃×#120	C₂×D₃	semidirect
339. C₃×#120	C₂²×C₃	semidirect
340. C₃×#120	C₂²×C₃	semidirect
341. C₃×#120	C₂²×C₃	semidirect
342. C₃×#120	C₂²×C₃	semidirect
343. C₃×#120	C₂²×C₃	semidirect
359. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
360. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
361. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
362. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
364. #953	C₂²×C₃	semidirect
365. #953	C₂²×C₃	semidirect
366. #953	C₂²×C₃	semidirect
367. #953	C₂²×C₃	semidirect
368. #953	C₂²×C₃	semidirect
369. #953	C₂²×C₃	semidirect
370. #953	C₂²×C₃	semidirect
371. #953	C₂²×C₃	semidirect
372. C₂×#217	C₂²×C₃	semidirect
373. C₂×#217	C₂²×C₃	semidirect
374. C₂×#217	C₂²×C₃	semidirect
375. C₂×#217	C₂²×C₃	semidirect
376. #940	C₂²×C₃	semidirect
377. #940	C₂²×C₃	semidirect
378. #940	C₂²×C₃	semidirect
379. #939	C₂²×C₃	semidirect
380. #939	C₂²×C₃	semidirect
381. #939	C₂²×C₃	semidirect
382. #939	C₂²×C₃	semidirect
383. #939	C₂²×C₃	semidirect
384. #939	C₂²×C₃	semidirect
385. #938	C₂²×C₃	semidirect
386. #938	C₂²×C₃	semidirect
387. #938	C₂²×C₃	semidirect
388. #938	C₂²×C₃	semidirect
389. #937	C₂²×C₃	semidirect
390. #937	C₂²×C₃	semidirect
391. #937	C₂²×C₃	semidirect
392. #937	C₂²×C₃	semidirect
393. #936	C₂²×C₃	semidirect
394. #936	C₂²×C₃	semidirect
395. #936	C₂²×C₃	semidirect
396. #935	C₂²×C₃	semidirect
397. #935	C₂²×C₃	semidirect
398. #935	C₂²×C₃	semidirect
399. #935	C₂²×C₃	semidirect
400. D₄×Dic₃	C₂²×C₃	semidirect
401. D₄×Dic₃	C₂²×C₃	semidirect
402. #930	C₂²×C₃	semidirect
403. #929	C₂²×C₃	semidirect
404. C₄×#67	C₂²×C₃	semidirect
405. C₄×#67	C₂²×C₃	semidirect
406. #926	C₂²×C₃	semidirect
407. #924	C₂²×C₃	semidirect
408. #886	C₂²×C₃	semidirect
409. #885	C₂²×C₃	semidirect
410. #885	C₂²×C₃	semidirect
411. #885	C₂²×C₃	semidirect
412. #885	C₂²×C₃	semidirect
413. #884	C₂²×C₃	semidirect
414. #884	C₂²×C₃	semidirect
415. #884	C₂²×C₃	semidirect
416. #884	C₂²×C₃	semidirect
417. #883	C₂²×C₃	semidirect
418. #883	C₂²×C₃	semidirect
419. #883	C₂²×C₃	semidirect
420. #883	C₂²×C₃	semidirect
421. #882	C₂²×C₃	semidirect
422. #67⋊C₄	C₂²×C₃	semidirect
423. #67⋊C₄	C₂²×C₃	semidirect
424. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
425. #879	C₂²×C₃	semidirect
426. #879	C₂²×C₃	semidirect
427. #879	C₂²×C₃	semidirect
428. #879	C₂²×C₃	semidirect
429. #878	C₂²×C₃	semidirect
430. #878	C₂²×C₃	semidirect
431. #877	C₂²×C₃	semidirect
526. C₂×#120	C₃×D₃	semidirect
554. C₂³×D₃	C₂³×C₃	semidirect
641. C₂×#67	C₂³×C₃	semidirect
642. C₂×#67	C₂³×C₃	semidirect
643. C₂×#67	C₂³×C₃	semidirect
647. C₂²×Dic₃	C₂³×C₃	semidirect
648. C₂²×Dic₃	C₂³×C₃	semidirect
652. C₂×D₁₂	C₂³×C₃	semidirect
653. C₂×D₁₂	C₂³×C₃	semidirect
654. C₂×C₄×D₃	C₂³×C₃	semidirect
655. C₂×C₄×D₃	C₂³×C₃	semidirect
656. C₂×C₄×D₃	C₂³×C₃	semidirect
657. C₂×Dic₆	C₂³×C₃	semidirect
658. C₂×Dic₆	C₂³×C₃	semidirect
727. #217	C₂³×C₃	semidirect
728. #217	C₂³×C₃	semidirect
729. #217	C₂³×C₃	semidirect
730. #217	C₂³×C₃	semidirect
731. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
732. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
733. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
734. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
735. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
736. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
737. C₄⋊Dic₃	C₂³×C₃	semidirect
738. C₄⋊Dic₃	C₂³×C₃	semidirect
739. C₄⋊Dic₃	C₂³×C₃	semidirect
740. Dic₃⋊C₄	C₂³×C₃	semidirect
741. Dic₃⋊C₄	C₂³×C₃	semidirect
742. Dic₃⋊C₄	C₂³×C₃	semidirect
743. Dic₃⋊C₄	C₂³×C₃	semidirect
744. Dic₃⋊C₄	C₂³×C₃	semidirect
745. Dic₃⋊C₄	C₂³×C₃	semidirect
746. C₄×Dic₃	C₂³×C₃	semidirect
747. C₄×Dic₃	C₂³×C₃	semidirect
748. C₄×Dic₃	C₂³×C₃	semidirect
749. C₄×Dic₃	C₂³×C₃	semidirect
791. C₂⁵	C₂×C₃×D₃	semidirect
799. C₂²×D₄	C₂×C₃×D₃	semidirect
800. C₂²×D₄	C₂×C₃×D₃	semidirect
858. #120	C₂×C₃×D₃	semidirect
859. #120	C₂×C₃×D₃	semidirect
860. #120	C₂×C₃×D₃	semidirect
861. #120	C₂×C₃×D₃	semidirect
862. #120	C₂×C₃×D₃	semidirect
876. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
877. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1284. C₃²	#3532	semidirect
1434. C₃	#85921	direct (N × H)
1435. C₃	C₃×#3532	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₃²×#120	2
C₂×C₃×#953	2
C₃×#5806	2
C₃×#5805	2
C₃×#5804	2
C₃×D₄×#67	2
C₃×#5595	2
C₃×#5594	2
C₃×#5593	2
C₃×#5592	2
C₃×#5591	2
C₃×#5590	2
C₃×#5589	2
C₃×#5587	2
C₃×#5495	2
C₃×#5494	2
C₃×#5490	2
C₃×#3532	3
#85921	3

Subgroups — C3×#85921 #11910503

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#85921 #11910503