Subgroups — C₃×#63008 #10681615

Order 768.

7272 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3524	C₂	1	2	yes	maximal, complemented
2	C₃×#3521	C₂	1	6	yes	maximal, complemented
3	C₃×#3519	C₂	1	6	yes	maximal, complemented
4	C₃×#3517	C₂	1	2	yes	maximal, complemented
5	C₃×#3516	C₂	1	2	yes	maximal, complemented
6	C₃×#3513	C₂	1	6	yes	maximal, complemented
7	C₃×#3512	C₂	1	3	yes	maximal, complemented
8	C₃×#3506	C₂	1	3	yes	maximal, complemented
9	C₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3494	C₂	1	3	yes	maximal, complemented
11	C₃×#3494	C₂	1	3	yes	maximal, complemented
12	C₃×#3493	C₂	1	3	yes	maximal, complemented
13	C₃×#3492	C₂	1	3	yes	maximal, complemented
14	C₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3481	C₂	1	6	yes	maximal, complemented
17	C₃×#3480	C₂	1	2	yes	maximal, complemented
18	C₃×#3475	C₂	1	3	yes	maximal, complemented
19	C₂×C₃×#553	C₂	1	3	yes	maximal, complemented
20	C₃×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3428	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#520	C₂	1	1	yes	maximal, characteristic, complemented
24	#63008	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂×C₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
26	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
27	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
28	C₃×#559	C₂²	1	6	yes	complemented
29	C₃×#559	C₂²	1	6	yes	complemented
30	C₃×#557	C₂²	1	2	yes	complemented
31	C₃×#557	C₂²	1	2	yes	complemented
32	C₃×#556	C₂²	1	3	yes	complemented
33	C₃×#556	C₂²	1	6	yes	complemented
34	C₃×#556	C₂²	1	6	yes	complemented
35	C₃×#555	C₂²	1	3	yes	complemented
36	C₃×#555	C₂²	1	6	yes	complemented
37	C₃×#555	C₂²	1	6	yes	complemented
38	C₃×#554	C₂²	1	3	yes	complemented
39	C₃×#554	C₂²	1	6	yes	complemented
40	C₃×#554	C₂²	1	6	yes	complemented
41	C₃×#554	C₂²	1	6	yes	complemented
42	C₃×#553	C₂²	1	3	yes	complemented
43	C₃×#553	C₂²	1	6	yes	complemented
44	C₃×#553	C₂²	1	6	yes	complemented
45	C₃×#553	C₂²	1	6	yes	complemented
46	C₃×#553	C₂²	1	6	yes	complemented
47	C₃×#553	C₂²	1	6	yes	complemented
48	C₃×#553	C₂²	1	6	yes	complemented
49	C₃×#553	C₂²	1	6	yes	complemented
50	C₃×#553	C₂²	1	3	yes	complemented
51	C₃×#553	C₂²	1	6	yes	complemented
52	C₃×#553	C₂²	1	6	yes	complemented
53	C₃×#553	C₂²	1	12	yes	complemented
54	C₃×#553	C₂²	1	6	yes	complemented
55	C₃×#553	C₂²	1	12	yes	complemented
56	C₃×#552	C₂²	1	1	yes	characteristic, complemented
57	C₃×#552	C₂²	1	3	yes	complemented
58	C₃×#552	C₂²	1	6	yes	complemented
59	C₃×#552	C₂²	1	6	yes	complemented
60	C₃×#552	C₂²	1	6	yes	complemented
61	C₃×#552	C₂²	1	6	yes	complemented
62	C₃×#551	C₂²	1	6	yes	complemented
63	C₃×#551	C₂²	1	6	yes	complemented
64	C₃×#551	C₂²	1	12	yes	complemented
65	C₃×#551	C₂²	1	12	yes	complemented
66	C₃×#550	C₂²	1	1	yes	characteristic, complemented
67	C₃×#550	C₂²	1	2	yes	complemented
68	C₃×#550	C₂²	1	2	yes	complemented
69	C₃×#550	C₂²	1	6	yes	complemented
70	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
71	C₃×#548	C₂²	1	1	yes	characteristic, complemented
72	C₃×#548	C₂²	1	1	yes	characteristic, complemented
73	C₃×#548	C₂²	1	2	yes	complemented
74	C₃×#548	C₂²	1	2	yes	complemented
75	C₃×#547	C₂²	1	3	yes	complemented
76	C₃×#547	C₂²	1	3	yes	complemented
77	C₃×#547	C₂²	1	6	yes	complemented
78	C₃×#547	C₂²	1	6	yes	complemented
79	C₃×#546	C₂²	1	3	yes	complemented
80	C₃×#546	C₂²	1	3	yes	complemented
81	C₃×#546	C₂²	1	6	yes	complemented
82	C₃×#546	C₂²	1	6	yes	complemented
83	C₃×#546	C₂²	1	12	yes	complemented
84	C₃×#546	C₂²	1	6	yes	complemented
85	C₃×#546	C₂²	1	12	yes	complemented
86	C₃×D₄²	C₂²	1	3	yes	complemented
87	C₃×D₄²	C₂²	1	6	yes	complemented
88	C₃×D₄²	C₂²	1	6	yes	complemented
89	C₃×#544	C₂²	1	3	yes	complemented
90	C₃×#544	C₂²	1	3	yes	complemented
91	C₃×#542	C₂²	1	6	yes	complemented
92	C₃×#542	C₂²	1	6	yes	complemented
93	C₃×#541	C₂²	1	6	yes	complemented
94	C₃×#540	C₂²	1	6	yes	complemented
95	C₃×#540	C₂²	1	6	yes	complemented
96	C₃×#540	C₂²	1	6	yes	complemented
97	C₃×#539	C₂²	1	12	yes	complemented
98	C₃×#538	C₂²	1	12	yes	complemented
99	C₃×#538	C₂²	1	12	yes	complemented
100	C₃×#537	C₂²	1	3	yes	complemented
101	C₃×#537	C₂²	1	3	yes	complemented
102	C₃×#535	C₂²	1	3	yes	complemented
103	C₃×#535	C₂²	1	3	yes	complemented
104	C₃×#533	C₂²	1	3	yes	complemented
105	C₃×#532	C₂²	1	3	yes	complemented
106	C₃×#532	C₂²	1	6	yes	complemented
107	C₃×#532	C₂²	1	6	yes	complemented
108	C₃×#529	C₂²	1	6	yes	complemented
109	C₃×#529	C₂²	1	6	yes	complemented
110	C₃×#529	C₂²	1	6	yes	complemented
111	C₃×#529	C₂²	1	6	yes	complemented
112	C₃×#529	C₂²	1	6	yes	complemented
113	C₃×#529	C₂²	1	12	yes	complemented
114	C₃×#529	C₂²	1	6	yes	complemented
115	C₃×#529	C₂²	1	6	yes	complemented
116	C₂×C₃×#126	C₂²	1	6	yes	complemented
117	C₂×C₃×#125	C₂²	1	3	yes	complemented
118	C₃×#525	C₂²	1	3	yes	complemented
119	C₃×#525	C₂²	1	3	yes	complemented
120	C₃×#525	C₂²	1	3	yes	complemented
121	C₃×#525	C₂²	1	3	yes	complemented
122	C₃×#525	C₂²	1	12	yes	complemented
123	C₃×#525	C₂²	1	12	yes	complemented
124	C₂×C₃×#123	C₂²	1	6	yes	complemented
125	C₂×C₃×#121	C₂²	1	3	yes	complemented
126	C₂×C₃×#121	C₂²	1	3	yes	complemented
127	C₂×C₃×#121	C₂²	1	6	yes	complemented
128	C₃×#520	C₂²	1	1	yes	characteristic
129	C₃×#520	C₂²	1	1	yes	characteristic
130	C₃×#520	C₂²	1	1	yes	characteristic
131	C₃×#520	C₂²	1	3	yes	complemented
132	C₃×#520	C₂²	1	3	yes	complemented
133	C₃×#520	C₂²	1	6	yes	complemented
134	C₃×#520	C₂²	1	2	yes	complemented
135	C₃×#520	C₂²	1	3	yes	complemented
136	C₃×#520	C₂²	1	3	yes	complemented
137	C₃×#520	C₂²	1	3	yes	complemented
138	C₃×#520	C₂²	1	2	yes	complemented
139	C₃×#519	C₂²	1	2	yes	complemented
140	C₃×#518	C₂²	1	6	yes	complemented
141	C₃×#518	C₂²	1	3	yes	complemented
142	C₃×#518	C₂²	1	6	yes	complemented
143	C₃×C₄×#41	C₂²	1	1	yes	characteristic
144	C₃×C₄×#41	C₂²	1	2	yes	complemented
145	C₃×C₄×#41	C₂²	1	6	yes	complemented
146	C₃×C₄×#41	C₂²	1	3	yes	complemented
147	C₃×C₄×#41	C₂²	1	2	yes	complemented
148	C₃×C₄×#41	C₂²	1	6	yes	complemented
149	C₂×C₃×C₄×Q₈	C₂²	1	2	yes	complemented
150	C₂×C₃×C₄×D₄	C₂²	1	6	yes	complemented
151	C₂×C₃×C₄×D₄	C₂²	1	3	yes	complemented
152	C₂×C₃×C₄×D₄	C₂²	1	6	yes	complemented
153	C₂×C₃×C₄×D₄	C₂²	1	3	yes	complemented
154	C₂×C₃×C₄×D₄	C₂²	1	6	yes	complemented
155	C₂×C₃×#117	C₂²	1	3	yes	complemented
156	C₂×C₃×#117	C₂²	1	3	yes	complemented
157	C₂×C₃×#117	C₂²	1	3	yes	complemented
158	C₂²×C₃×C₄⋊C₄	C₂²	1	3	yes	complemented
159	#3524	C₂×C₃	1	2	yes	complemented
160	#3521	C₂×C₃	1	6	yes	complemented
161	#3519	C₂×C₃	1	6	yes	complemented
162	#3517	C₂×C₃	1	2	yes	complemented
163	#3516	C₂×C₃	1	2	yes	complemented
164	#3513	C₂×C₃	1	6	yes	complemented
165	#3512	C₂×C₃	1	3	yes	complemented
166	#3506	C₂×C₃	1	3	yes	complemented
167	#3504	C₂×C₃	1	1	yes	characteristic, complemented
168	#3494	C₂×C₃	1	3	yes	complemented
169	#3494	C₂×C₃	1	3	yes	complemented
170	#3493	C₂×C₃	1	3	yes	complemented
171	#3492	C₂×C₃	1	3	yes	complemented
172	#3488	C₂×C₃	1	1	yes	characteristic, complemented
173	#3488	C₂×C₃	1	1	yes	characteristic, complemented
174	#3481	C₂×C₃	1	6	yes	complemented
175	#3480	C₂×C₃	1	2	yes	complemented
176	#3475	C₂×C₃	1	3	yes	complemented
177	C₂×#553	C₂×C₃	1	3	yes	complemented
178	D₄×#41	C₂×C₃	1	1	yes	characteristic, complemented
179	C₄×H(5,𝔽₂)	C₂×C₃	1	1	yes	characteristic, complemented
180	#3428	C₂×C₃	1	1	yes	characteristic, complemented
181	C₂×#520	C₂×C₃	1	1	yes	characteristic, complemented
182	C₃×H(5,𝔽₂)	—	2	8	no	—
183	C₂×C₃×#41	—	2	8	no	—
184	C₂×C₃×#41	—	2	8	no	—
185	C₂×C₃×#41	C₂³	1	3	yes	—
186	C₂×C₃×#41	C₂³	1	1	yes	characteristic
187	C₂×C₃×#41	C₂³	1	3	yes	—
188	C₂×C₃×#41	C₂³	1	3	yes	—
189	C₂×C₃×#41	C₂³	1	3	yes	—
190	C₂×C₃×#41	C₂³	1	1	yes	characteristic
191	C₂×C₃×#41	C₂³	1	3	yes	—
192	C₂×C₃×#41	C₂³	1	2	yes	—
193	C₂×C₃×#41	C₂³	1	6	yes	—
194	C₂×C₃×#41	C₂³	1	12	yes	—
195	C₂×C₃×#41	C₂³	1	1	yes	characteristic
196	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
197	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
198	C₂²×C₃×D₄	C₂³	1	3	yes	—
199	C₂²×C₃×D₄	C₂³	1	3	yes	—
200	C₂²×C₃×D₄	C₂³	1	3	yes	—
201	C₂²×C₃×D₄	C₂³	1	6	yes	—
202	C₂²×C₃×D₄	C₂³	1	3	yes	—
203	C₂²×C₃×D₄	C₂³	1	6	yes	—
204	C₂²×C₃×D₄	C₂³	1	6	yes	—
205	C₂³×C₃×C₄	C₂³	1	3	yes	—
206	C₂³×C₃×C₄	C₂³	1	3	yes	—
207	C₂³×C₃×C₄	C₂³	1	6	yes	—
208	C₂³×C₃×C₄	C₂³	1	6	yes	—
209	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
210	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
211	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
212	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
213	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
214	C₃×#127	C₂³	1	6	yes	—
215	C₃×#127	C₂³	1	6	yes	—
216	C₃×#127	C₂³	1	3	yes	—
217	C₃×#126	C₂³	1	6	yes	—
218	C₃×#126	C₂³	1	12	yes	—
219	C₃×#126	C₂³	1	12	yes	—
220	C₃×#126	C₂³	1	12	yes	—
221	C₃×#126	C₂³	1	2	yes	—
222	C₃×#126	C₂³	1	6	yes	—
223	C₃×#126	C₂³	1	6	yes	—
224	C₃×#126	C₂³	1	6	yes	—
225	C₃×#126	C₂³	1	6	yes	—
226	C₃×#126	C₂³	1	12	yes	—
227	C₃×#126	C₂³	1	12	yes	—
228	C₃×#125	C₂³	1	3	yes	—
229	C₃×#125	C₂³	1	6	yes	—
230	C₃×#125	C₂³	1	6	yes	—
231	C₃×#125	C₂³	1	6	yes	—
232	C₃×#125	C₂³	1	2	yes	—
233	C₃×#125	C₂³	1	6	yes	—
234	C₃×#125	C₂³	1	12	yes	—
235	C₃×#125	C₂³	1	6	yes	—
236	C₃×#125	C₂³	1	6	yes	—
237	C₃×#125	C₂³	1	6	yes	—
238	C₃×#125	C₂³	1	1	yes	characteristic
239	C₃×#124	C₂³	1	3	yes	—
240	C₃×#124	C₂³	1	3	yes	—
241	C₃×#124	C₂³	1	6	yes	—
242	C₃×#124	C₂³	1	6	yes	—
243	C₃×#124	C₂³	1	12	yes	—
244	C₃×#124	C₂³	1	12	yes	—
245	C₃×#124	C₂³	1	6	yes	—
246	C₃×#124	C₂³	1	6	yes	—
247	C₃×#124	C₂³	1	6	yes	—
248	C₃×#123	C₂³	1	6	yes	—
249	C₃×#123	C₂³	1	12	yes	—
250	C₃×#123	C₂³	1	12	yes	—
251	C₃×#123	C₂³	1	12	yes	—
252	C₃×#123	C₂³	1	6	yes	—
253	C₃×#123	C₂³	1	12	yes	—
254	C₃×#123	C₂³	1	12	yes	—
255	C₃×#123	C₂³	1	6	yes	—
256	C₃×#123	C₂³	1	6	yes	—
257	C₃×#123	C₂³	1	12	yes	—
258	C₃×#123	C₂³	1	6	yes	—
259	C₃×#123	C₂³	1	6	yes	—
260	C₃×#123	C₂³	1	2	yes	—
261	C₃×#123	C₂³	1	6	yes	—
262	C₃×#123	C₂³	1	6	yes	—
263	C₃×#123	C₂³	1	6	yes	—
264	C₃×#123	C₂³	1	12	yes	—
265	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
266	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
267	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
268	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
269	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
270	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
271	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
272	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
273	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
274	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
275	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
276	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
277	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
278	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
279	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
280	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
281	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
282	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
283	C₃×#121	C₂³	1	3	yes	—
284	C₃×#121	C₂³	1	3	yes	—
285	C₃×#121	C₂³	1	6	yes	—
286	C₃×#121	C₂³	1	12	yes	—
287	C₃×#121	C₂³	1	6	yes	—
288	C₃×#121	C₂³	1	6	yes	—
289	C₃×#121	C₂³	1	6	yes	—
290	C₃×#121	C₂³	1	6	yes	—
291	C₃×#121	C₂³	1	12	yes	—
292	C₃×#121	C₂³	1	12	yes	—
293	C₃×#121	C₂³	1	6	yes	—
294	C₃×#121	C₂³	1	6	yes	—
295	C₃×#121	C₂³	1	6	yes	—
296	C₃×#121	C₂³	1	3	yes	—
297	C₃×#121	C₂³	1	3	yes	—
298	C₃×#121	C₂³	1	3	yes	—
299	C₃×#121	C₂³	1	3	yes	—
300	C₃×#121	C₂³	1	12	yes	—
301	C₃×#121	C₂³	1	12	yes	—
302	C₃×#121	C₂³	1	3	yes	—
303	C₃×#121	C₂³	1	3	yes	—
304	C₃×#121	C₂³	1	12	yes	—
305	C₃×#121	C₂³	1	6	yes	—
306	C₃×#121	C₂³	1	6	yes	—
307	C₃×#121	C₂³	1	6	yes	—
308	C₃×#121	C₂³	1	6	yes	—
309	C₃×#121	C₂³	1	6	yes	—
310	C₃×#121	C₂³	1	12	yes	—
311	C₃×#120	C₂³	1	6	yes	—
312	C₃×#120	C₂³	1	6	yes	—
313	C₃×#120	C₂³	1	12	yes	—
314	C₃×#120	C₂³	1	12	yes	—
315	C₃×#120	C₂³	1	6	yes	—
316	C₃×#120	C₂³	1	6	yes	—
317	C₃×C₄×Q₈	C₂³	1	6	yes	—
318	C₃×C₄×Q₈	C₂³	1	6	yes	—
319	C₃×C₄×Q₈	C₂³	1	6	yes	—
320	C₃×C₄×Q₈	C₂³	1	2	yes	—
321	C₃×C₄×Q₈	C₂³	1	2	yes	—
322	C₃×C₄×Q₈	C₂³	1	6	yes	—
323	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
324	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
325	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
326	C₃×C₄×Q₈	C₂³	1	2	yes	—
327	C₃×C₄×Q₈	C₂³	1	6	yes	—
328	C₃×C₄×Q₈	C₂³	1	3	yes	—
329	C₃×C₄×Q₈	C₂³	1	6	yes	—
330	C₃×C₄×Q₈	C₂³	1	6	yes	—
331	C₃×C₄×D₄	C₂³	1	6	yes	—
332	C₃×C₄×D₄	C₂³	1	6	yes	—
333	C₃×C₄×D₄	C₂³	1	6	yes	—
334	C₃×C₄×D₄	C₂³	1	12	yes	—
335	C₃×C₄×D₄	C₂³	1	6	yes	—
336	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
337	C₃×C₄×D₄	C₂³	1	3	yes	—
338	C₃×C₄×D₄	C₂³	1	6	yes	—
339	C₃×C₄×D₄	C₂³	1	6	yes	—
340	C₃×C₄×D₄	C₂³	1	6	yes	—
341	C₃×C₄×D₄	C₂³	1	3	yes	—
342	C₃×C₄×D₄	C₂³	1	3	yes	—
343	C₃×C₄×D₄	C₂³	1	12	yes	—
344	C₃×C₄×D₄	C₂³	1	6	yes	—
345	C₃×C₄×D₄	C₂³	1	6	yes	—
346	C₃×C₄×D₄	C₂³	1	6	yes	—
347	C₃×C₄×D₄	C₂³	1	6	yes	—
348	C₃×C₄×D₄	C₂³	1	12	yes	—
349	C₃×C₄×D₄	C₂³	1	6	yes	—
350	C₃×C₄×D₄	C₂³	1	12	yes	—
351	C₃×C₄×D₄	C₂³	1	3	yes	—
352	C₃×C₄×D₄	C₂³	1	3	yes	—
353	C₃×C₄×D₄	C₂³	1	12	yes	—
354	C₃×C₄×D₄	C₂³	1	3	yes	—
355	C₃×C₄×D₄	C₂³	1	3	yes	—
356	C₃×C₄×D₄	C₂³	1	3	yes	—
357	C₃×C₄×D₄	C₂³	1	12	yes	—
358	C₃×C₄×D₄	C₂³	1	3	yes	—
359	C₃×C₄×D₄	C₂³	1	3	yes	—
360	C₃×C₄×D₄	C₂³	1	6	yes	—
361	C₃×C₄×D₄	C₂³	1	6	yes	—
362	C₃×C₄×D₄	C₂³	1	3	yes	—
363	C₃×C₄×D₄	C₂³	1	6	yes	—
364	C₃×C₄×D₄	C₂³	1	12	yes	—
365	C₃×C₄×D₄	C₂³	1	6	yes	—
366	C₃×C₄×D₄	C₂³	1	12	yes	—
367	C₃×C₄×D₄	C₂³	1	6	yes	—
368	C₃×C₄×D₄	C₂³	1	6	yes	—
369	C₃×C₄×D₄	C₂³	1	6	yes	—
370	C₃×C₄×D₄	C₂³	1	6	yes	—
371	C₃×C₄×D₄	C₂³	1	6	yes	—
372	C₃×C₄×D₄	C₂³	1	6	yes	—
373	C₃×C₄×D₄	C₂³	1	12	yes	—
374	C₃×#117	C₂³	1	1	yes	characteristic
375	C₃×#117	C₂³	1	3	yes	—
376	C₃×#117	C₂³	1	3	yes	—
377	C₃×#117	C₂³	1	6	yes	—
378	C₃×#117	C₂³	1	6	yes	—
379	C₃×#117	C₂³	1	6	yes	—
380	C₃×#117	C₂³	1	6	yes	—
381	C₃×#117	C₂³	1	3	yes	—
382	C₃×#117	C₂³	1	3	yes	—
383	C₃×#117	C₂³	1	6	yes	—
384	C₃×#117	C₂³	1	6	yes	—
385	C₃×#117	C₂³	1	6	yes	—
386	C₃×#117	C₂³	1	3	yes	—
387	C₃×#117	C₂³	1	3	yes	—
388	C₃×#117	C₂³	1	3	yes	—
389	C₃×#117	C₂³	1	2	yes	—
390	C₃×#117	C₂³	1	6	yes	—
391	C₃×#117	C₂³	1	6	yes	—
392	C₃×#117	C₂³	1	6	yes	—
393	C₃×#117	C₂³	1	6	yes	—
394	C₃×#117	C₂³	1	12	yes	—
395	C₃×#117	C₂³	1	12	yes	—
396	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
397	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
398	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
399	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
400	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
401	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
402	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
403	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
405	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
406	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
407	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
408	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
409	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
410	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
411	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
412	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
413	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
414	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
415	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
416	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	—
417	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
418	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
419	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
420	C₂×C₃×C₄²	C₂³	1	6	yes	—
421	C₂×C₃×C₄²	C₂³	1	6	yes	—
422	C₂×C₃×C₄²	C₂³	1	6	yes	—
423	C₂×C₃×C₄²	C₂³	1	3	yes	—
424	C₂×C₃×C₄²	C₂³	1	6	yes	—
425	C₂×H(5,𝔽₂)	C₂²×C₃	1	1	yes	characteristic
426	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
427	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
428	#559	C₂²×C₃	1	6	yes	complemented
429	#559	C₂²×C₃	1	6	yes	complemented
430	#557	C₂²×C₃	1	2	yes	complemented
431	#557	C₂²×C₃	1	2	yes	complemented
432	#556	C₂²×C₃	1	3	yes	complemented
433	#556	C₂²×C₃	1	6	yes	complemented
434	#556	C₂²×C₃	1	6	yes	complemented
435	#555	C₂²×C₃	1	3	yes	complemented
436	#555	C₂²×C₃	1	6	yes	complemented
437	#555	C₂²×C₃	1	6	yes	complemented
438	#554	C₂²×C₃	1	3	yes	complemented
439	#554	C₂²×C₃	1	6	yes	complemented
440	#554	C₂²×C₃	1	6	yes	complemented
441	#554	C₂²×C₃	1	6	yes	complemented
442	#553	C₂²×C₃	1	3	yes	complemented
443	#553	C₂²×C₃	1	6	yes	complemented
444	#553	C₂²×C₃	1	6	yes	complemented
445	#553	C₂²×C₃	1	6	yes	complemented
446	#553	C₂²×C₃	1	6	yes	complemented
447	#553	C₂²×C₃	1	6	yes	complemented
448	#553	C₂²×C₃	1	6	yes	complemented
449	#553	C₂²×C₃	1	6	yes	complemented
450	#553	C₂²×C₃	1	3	yes	complemented
451	#553	C₂²×C₃	1	6	yes	complemented
452	#553	C₂²×C₃	1	6	yes	complemented
453	#553	C₂²×C₃	1	12	yes	complemented
454	#553	C₂²×C₃	1	6	yes	complemented
455	#553	C₂²×C₃	1	12	yes	complemented
456	#552	C₂²×C₃	1	1	yes	characteristic, complemented
457	#552	C₂²×C₃	1	3	yes	complemented
458	#552	C₂²×C₃	1	6	yes	complemented
459	#552	C₂²×C₃	1	6	yes	complemented
460	#552	C₂²×C₃	1	6	yes	complemented
461	#552	C₂²×C₃	1	6	yes	complemented
462	#551	C₂²×C₃	1	6	yes	complemented
463	#551	C₂²×C₃	1	6	yes	complemented
464	#551	C₂²×C₃	1	12	yes	complemented
465	#551	C₂²×C₃	1	12	yes	complemented
466	#550	C₂²×C₃	1	1	yes	characteristic, complemented
467	#550	C₂²×C₃	1	2	yes	complemented
468	#550	C₂²×C₃	1	2	yes	complemented
469	#550	C₂²×C₃	1	6	yes	complemented
470	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
471	#548	C₂²×C₃	1	1	yes	characteristic, complemented
472	#548	C₂²×C₃	1	1	yes	characteristic, complemented
473	#548	C₂²×C₃	1	2	yes	complemented
474	#548	C₂²×C₃	1	2	yes	complemented
475	#547	C₂²×C₃	1	3	yes	complemented
476	#547	C₂²×C₃	1	3	yes	complemented
477	#547	C₂²×C₃	1	6	yes	complemented
478	#547	C₂²×C₃	1	6	yes	complemented
479	#546	C₂²×C₃	1	3	yes	complemented
480	#546	C₂²×C₃	1	3	yes	complemented
481	#546	C₂²×C₃	1	6	yes	complemented
482	#546	C₂²×C₃	1	6	yes	complemented
483	#546	C₂²×C₃	1	12	yes	complemented
484	#546	C₂²×C₃	1	6	yes	complemented
485	#546	C₂²×C₃	1	12	yes	complemented
486	D₄²	C₂²×C₃	1	3	yes	complemented
487	D₄²	C₂²×C₃	1	6	yes	complemented
488	D₄²	C₂²×C₃	1	6	yes	complemented
489	#544	C₂²×C₃	1	3	yes	complemented
490	#544	C₂²×C₃	1	3	yes	complemented
491	#542	C₂²×C₃	1	6	yes	complemented
492	#542	C₂²×C₃	1	6	yes	complemented
493	#541	C₂²×C₃	1	6	yes	complemented
494	#540	C₂²×C₃	1	6	yes	complemented
495	#540	C₂²×C₃	1	6	yes	complemented
496	#540	C₂²×C₃	1	6	yes	complemented
497	#539	C₂²×C₃	1	12	yes	complemented
498	#538	C₂²×C₃	1	12	yes	complemented
499	#538	C₂²×C₃	1	12	yes	complemented
500	#537	C₂²×C₃	1	3	yes	complemented
501	#537	C₂²×C₃	1	3	yes	complemented
502	#535	C₂²×C₃	1	3	yes	complemented
503	#535	C₂²×C₃	1	3	yes	complemented
504	#533	C₂²×C₃	1	3	yes	complemented
505	#532	C₂²×C₃	1	3	yes	complemented
506	#532	C₂²×C₃	1	6	yes	complemented
507	#532	C₂²×C₃	1	6	yes	complemented
508	#529	C₂²×C₃	1	6	yes	complemented
509	#529	C₂²×C₃	1	6	yes	complemented
510	#529	C₂²×C₃	1	6	yes	complemented
511	#529	C₂²×C₃	1	6	yes	complemented
512	#529	C₂²×C₃	1	6	yes	complemented
513	#529	C₂²×C₃	1	12	yes	complemented
514	#529	C₂²×C₃	1	6	yes	complemented
515	#529	C₂²×C₃	1	6	yes	complemented
516	C₂×#126	C₂²×C₃	1	6	yes	complemented
517	C₂×#125	C₂²×C₃	1	3	yes	complemented
518	#525	C₂²×C₃	1	3	yes	complemented
519	#525	C₂²×C₃	1	3	yes	complemented
520	#525	C₂²×C₃	1	3	yes	complemented
521	#525	C₂²×C₃	1	3	yes	complemented
522	#525	C₂²×C₃	1	12	yes	complemented
523	#525	C₂²×C₃	1	12	yes	complemented
524	C₂×#123	C₂²×C₃	1	6	yes	complemented
525	C₂×#121	C₂²×C₃	1	3	yes	complemented
526	C₂×#121	C₂²×C₃	1	3	yes	complemented
527	C₂×#121	C₂²×C₃	1	6	yes	complemented
528	#520	C₂²×C₃	1	1	yes	characteristic
529	#520	C₂²×C₃	1	1	yes	characteristic
530	#520	C₂²×C₃	1	1	yes	characteristic
531	#520	C₂²×C₃	1	3	yes	complemented
532	#520	C₂²×C₃	1	3	yes	complemented
533	#520	C₂²×C₃	1	6	yes	complemented
534	#520	C₂²×C₃	1	2	yes	complemented
535	#520	C₂²×C₃	1	3	yes	complemented
536	#520	C₂²×C₃	1	3	yes	complemented
537	#520	C₂²×C₃	1	3	yes	complemented
538	#520	C₂²×C₃	1	2	yes	complemented
539	#519	C₂²×C₃	1	2	yes	complemented
540	#518	C₂²×C₃	1	6	yes	complemented
541	#518	C₂²×C₃	1	3	yes	complemented
542	#518	C₂²×C₃	1	6	yes	complemented
543	C₄×#41	C₂²×C₃	1	1	yes	characteristic
544	C₄×#41	C₂²×C₃	1	2	yes	complemented
545	C₄×#41	C₂²×C₃	1	6	yes	complemented
546	C₄×#41	C₂²×C₃	1	3	yes	complemented
547	C₄×#41	C₂²×C₃	1	2	yes	complemented
548	C₄×#41	C₂²×C₃	1	6	yes	complemented
549	C₂×C₄×Q₈	C₂²×C₃	1	2	yes	complemented
550	C₂×C₄×D₄	C₂²×C₃	1	6	yes	complemented
551	C₂×C₄×D₄	C₂²×C₃	1	3	yes	complemented
552	C₂×C₄×D₄	C₂²×C₃	1	6	yes	complemented
553	C₂×C₄×D₄	C₂²×C₃	1	3	yes	complemented
554	C₂×C₄×D₄	C₂²×C₃	1	6	yes	complemented
555	C₂×#117	C₂²×C₃	1	3	yes	complemented
556	C₂×#117	C₂²×C₃	1	3	yes	complemented
557	C₂×#117	C₂²×C₃	1	3	yes	complemented
558	C₂²×C₄⋊C₄	C₂²×C₃	1	3	yes	complemented
559	C₂⁴×C₃	C₂⁴	1	3	yes	—
560	C₂⁴×C₃	C₂⁴	1	3	yes	—
561	C₂⁴×C₃	C₂⁴	1	6	yes	—
562	C₃×#41	—	2	4	no	—
563	C₃×#41	—	2	4	no	—
564	C₃×#41	—	2	8	no	—
565	C₃×#41	—	2	12	no	—
566	C₃×#41	—	2	12	no	—
567	C₃×#41	—	2	12	no	—
568	C₃×#41	—	2	12	no	—
569	C₃×#41	—	2	12	no	—
570	C₃×#41	—	4	12	no	—
571	C₃×#41	—	8	12	no	—
572	C₃×#41	#41	1	8	yes	complemented
573	C₂×C₃×Q₈	—	2	4	no	—
574	C₂×C₃×Q₈	—	2	4	no	—
575	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
577	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
578	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
579	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
580	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₃×D₄	—	2	12	no	—
582	C₂×C₃×D₄	—	2	12	no	—
583	C₂×C₃×D₄	—	2	24	no	—
584	C₂×C₃×D₄	—	2	12	no	—
585	C₂×C₃×D₄	—	4	6	no	—
586	C₂×C₃×D₄	—	4	12	no	—
587	C₂×C₃×D₄	—	8	6	no	—
588	C₂×C₃×D₄	C₂⁴	1	6	yes	—
589	C₂×C₃×D₄	C₂⁴	1	6	yes	—
590	C₂×C₃×D₄	C₂⁴	1	3	yes	—
591	C₂×C₃×D₄	C₂⁴	1	6	yes	—
592	C₂×C₃×D₄	C₂⁴	1	6	yes	—
593	C₂×C₃×D₄	C₂⁴	1	3	yes	—
594	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
595	C₂×C₃×D₄	C₂⁴	1	6	yes	—
596	C₂×C₃×D₄	C₂⁴	1	3	yes	—
597	C₂×C₃×D₄	C₂⁴	1	3	yes	—
598	C₂×C₃×D₄	C₂⁴	1	6	yes	—
599	C₂×C₃×D₄	C₂⁴	1	3	yes	—
600	C₂×C₃×D₄	C₂⁴	1	12	yes	—
601	C₂×C₃×D₄	C₂⁴	1	3	yes	—
602	C₂×C₃×D₄	C₂⁴	1	6	yes	—
603	C₂×C₃×D₄	C₂⁴	1	6	yes	—
604	C₂×C₃×D₄	C₂⁴	1	6	yes	—
605	C₂×C₃×D₄	C₂⁴	1	12	yes	—
606	C₂×C₃×D₄	C₂⁴	1	3	yes	—
607	C₂²×C₃×C₄	—	2	12	no	—
608	C₂²×C₃×C₄	—	2	12	no	—
609	C₂²×C₃×C₄	—	8	6	no	—
610	C₂²×C₃×C₄	—	8	6	no	—
611	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
612	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
613	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
614	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
615	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
616	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
617	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
618	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
619	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
620	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
621	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
622	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
623	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
624	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
625	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
626	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
627	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
628	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
629	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
630	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
631	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
632	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
633	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
634	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
635	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
636	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
637	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
638	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
639	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
641	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
642	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
645	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
646	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
647	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
648	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
649	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
650	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
652	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
653	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
654	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
655	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
656	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
657	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
658	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
659	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
660	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
661	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
662	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
663	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
664	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
665	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
666	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
667	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
668	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
669	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
670	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
671	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
672	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
673	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
674	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
675	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
676	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
677	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
678	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
679	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
680	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
681	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
682	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
683	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
684	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
685	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
686	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
687	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
688	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
689	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
690	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
691	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
692	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
693	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
694	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
695	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
696	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
697	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
698	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
699	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
700	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
701	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
702	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
703	C₃×C₄²	C₂⁴	1	2	yes	—
704	C₃×C₄²	C₂⁴	1	6	yes	—
705	C₃×C₄²	C₂⁴	1	6	yes	—
706	C₃×C₄²	C₂⁴	1	2	yes	—
707	C₃×C₄²	C₂⁴	1	1	yes	characteristic
708	C₃×C₄²	C₂⁴	1	3	yes	—
709	C₃×C₄²	C₂⁴	1	6	yes	—
710	C₃×C₄²	C₂⁴	1	12	yes	—
711	C₃×C₄²	C₂⁴	1	6	yes	—
712	C₃×C₄²	C₂⁴	1	6	yes	—
713	C₃×C₄²	C₂⁴	1	3	yes	—
714	C₃×C₄²	C₂⁴	1	3	yes	—
715	C₃×C₄²	C₂⁴	1	6	yes	—
716	C₃×C₄²	C₂⁴	1	6	yes	—
717	H(5,𝔽₂)	—	2	8	no	—
718	C₂×#41	—	2	8	no	—
719	C₂×#41	—	2	8	no	—
720	C₂×#41	C₂³×C₃	1	3	yes	—
721	C₂×#41	C₂³×C₃	1	1	yes	characteristic
722	C₂×#41	C₂³×C₃	1	3	yes	—
723	C₂×#41	C₂³×C₃	1	2	yes	—
724	C₂×#41	C₂³×C₃	1	3	yes	—
725	C₂×#41	C₂³×C₃	1	3	yes	—
726	C₂×#41	C₂³×C₃	1	3	yes	—
727	C₂×#41	C₂³×C₃	1	1	yes	characteristic
728	C₂×#41	C₂³×C₃	1	6	yes	—
729	C₂×#41	C₂³×C₃	1	12	yes	—
730	C₂×#41	C₂³×C₃	1	1	yes	characteristic
731	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
732	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
733	C₂²×D₄	C₂³×C₃	1	3	yes	—
734	C₂²×D₄	C₂³×C₃	1	3	yes	—
735	C₂²×D₄	C₂³×C₃	1	6	yes	—
736	C₂²×D₄	C₂³×C₃	1	3	yes	—
737	C₂²×D₄	C₂³×C₃	1	3	yes	—
738	C₂²×D₄	C₂³×C₃	1	6	yes	—
739	C₂²×D₄	C₂³×C₃	1	6	yes	—
740	C₂³×C₄	C₂³×C₃	1	3	yes	—
741	C₂³×C₄	C₂³×C₃	1	3	yes	—
742	C₂³×C₄	C₂³×C₃	1	6	yes	—
743	C₂³×C₄	C₂³×C₃	1	6	yes	—
744	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
745	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
746	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
747	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
748	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
749	#127	C₂³×C₃	1	6	yes	—
750	#127	C₂³×C₃	1	6	yes	—
751	#127	C₂³×C₃	1	3	yes	—
752	#126	C₂³×C₃	1	6	yes	—
753	#126	C₂³×C₃	1	12	yes	—
754	#126	C₂³×C₃	1	12	yes	—
755	#126	C₂³×C₃	1	12	yes	—
756	#126	C₂³×C₃	1	2	yes	—
757	#126	C₂³×C₃	1	6	yes	—
758	#126	C₂³×C₃	1	6	yes	—
759	#126	C₂³×C₃	1	6	yes	—
760	#126	C₂³×C₃	1	6	yes	—
761	#126	C₂³×C₃	1	12	yes	—
762	#126	C₂³×C₃	1	12	yes	—
763	#125	C₂³×C₃	1	3	yes	—
764	#125	C₂³×C₃	1	6	yes	—
765	#125	C₂³×C₃	1	6	yes	—
766	#125	C₂³×C₃	1	6	yes	—
767	#125	C₂³×C₃	1	2	yes	—
768	#125	C₂³×C₃	1	6	yes	—
769	#125	C₂³×C₃	1	12	yes	—
770	#125	C₂³×C₃	1	6	yes	—
771	#125	C₂³×C₃	1	6	yes	—
772	#125	C₂³×C₃	1	6	yes	—
773	#125	C₂³×C₃	1	1	yes	characteristic
774	#124	C₂³×C₃	1	3	yes	—
775	#124	C₂³×C₃	1	3	yes	—
776	#124	C₂³×C₃	1	6	yes	—
777	#124	C₂³×C₃	1	6	yes	—
778	#124	C₂³×C₃	1	6	yes	—
779	#124	C₂³×C₃	1	6	yes	—
780	#124	C₂³×C₃	1	12	yes	—
781	#124	C₂³×C₃	1	6	yes	—
782	#124	C₂³×C₃	1	12	yes	—
783	#123	C₂³×C₃	1	6	yes	—
784	#123	C₂³×C₃	1	12	yes	—
785	#123	C₂³×C₃	1	12	yes	—
786	#123	C₂³×C₃	1	12	yes	—
787	#123	C₂³×C₃	1	6	yes	—
788	#123	C₂³×C₃	1	6	yes	—
789	#123	C₂³×C₃	1	6	yes	—
790	#123	C₂³×C₃	1	12	yes	—
791	#123	C₂³×C₃	1	12	yes	—
792	#123	C₂³×C₃	1	6	yes	—
793	#123	C₂³×C₃	1	6	yes	—
794	#123	C₂³×C₃	1	2	yes	—
795	#123	C₂³×C₃	1	6	yes	—
796	#123	C₂³×C₃	1	12	yes	—
797	#123	C₂³×C₃	1	6	yes	—
798	#123	C₂³×C₃	1	6	yes	—
799	#123	C₂³×C₃	1	12	yes	—
800	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
801	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
802	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
803	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
804	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
805	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
806	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
807	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
808	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
809	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
810	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
811	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
812	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
813	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
814	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
815	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
816	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
817	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
818	#121	C₂³×C₃	1	3	yes	—
819	#121	C₂³×C₃	1	3	yes	—
820	#121	C₂³×C₃	1	6	yes	—
821	#121	C₂³×C₃	1	12	yes	—
822	#121	C₂³×C₃	1	6	yes	—
823	#121	C₂³×C₃	1	6	yes	—
824	#121	C₂³×C₃	1	6	yes	—
825	#121	C₂³×C₃	1	6	yes	—
826	#121	C₂³×C₃	1	12	yes	—
827	#121	C₂³×C₃	1	12	yes	—
828	#121	C₂³×C₃	1	6	yes	—
829	#121	C₂³×C₃	1	6	yes	—
830	#121	C₂³×C₃	1	6	yes	—
831	#121	C₂³×C₃	1	3	yes	—
832	#121	C₂³×C₃	1	3	yes	—
833	#121	C₂³×C₃	1	3	yes	—
834	#121	C₂³×C₃	1	3	yes	—
835	#121	C₂³×C₃	1	12	yes	—
836	#121	C₂³×C₃	1	12	yes	—
837	#121	C₂³×C₃	1	3	yes	—
838	#121	C₂³×C₃	1	3	yes	—
839	#121	C₂³×C₃	1	12	yes	—
840	#121	C₂³×C₃	1	6	yes	—
841	#121	C₂³×C₃	1	6	yes	—
842	#121	C₂³×C₃	1	6	yes	—
843	#121	C₂³×C₃	1	6	yes	—
844	#121	C₂³×C₃	1	6	yes	—
845	#121	C₂³×C₃	1	12	yes	—
846	#120	C₂³×C₃	1	6	yes	—
847	#120	C₂³×C₃	1	6	yes	—
848	#120	C₂³×C₃	1	12	yes	—
849	#120	C₂³×C₃	1	12	yes	—
850	#120	C₂³×C₃	1	6	yes	—
851	#120	C₂³×C₃	1	6	yes	—
852	C₄×Q₈	C₂³×C₃	1	2	yes	—
853	C₄×Q₈	C₂³×C₃	1	2	yes	—
854	C₄×Q₈	C₂³×C₃	1	6	yes	—
855	C₄×Q₈	C₂³×C₃	1	6	yes	—
856	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
857	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
858	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
859	C₄×Q₈	C₂³×C₃	1	2	yes	—
860	C₄×Q₈	C₂³×C₃	1	6	yes	—
861	C₄×Q₈	C₂³×C₃	1	6	yes	—
862	C₄×Q₈	C₂³×C₃	1	3	yes	—
863	C₄×Q₈	C₂³×C₃	1	6	yes	—
864	C₄×Q₈	C₂³×C₃	1	6	yes	—
865	C₄×Q₈	C₂³×C₃	1	6	yes	—
866	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
867	C₄×D₄	C₂³×C₃	1	3	yes	—
868	C₄×D₄	C₂³×C₃	1	6	yes	—
869	C₄×D₄	C₂³×C₃	1	6	yes	—
870	C₄×D₄	C₂³×C₃	1	6	yes	—
871	C₄×D₄	C₂³×C₃	1	3	yes	—
872	C₄×D₄	C₂³×C₃	1	6	yes	—
873	C₄×D₄	C₂³×C₃	1	3	yes	—
874	C₄×D₄	C₂³×C₃	1	12	yes	—
875	C₄×D₄	C₂³×C₃	1	6	yes	—
876	C₄×D₄	C₂³×C₃	1	6	yes	—
877	C₄×D₄	C₂³×C₃	1	6	yes	—
878	C₄×D₄	C₂³×C₃	1	6	yes	—
879	C₄×D₄	C₂³×C₃	1	12	yes	—
880	C₄×D₄	C₂³×C₃	1	6	yes	—
881	C₄×D₄	C₂³×C₃	1	12	yes	—
882	C₄×D₄	C₂³×C₃	1	6	yes	—
883	C₄×D₄	C₂³×C₃	1	3	yes	—
884	C₄×D₄	C₂³×C₃	1	3	yes	—
885	C₄×D₄	C₂³×C₃	1	12	yes	—
886	C₄×D₄	C₂³×C₃	1	12	yes	—
887	C₄×D₄	C₂³×C₃	1	3	yes	—
888	C₄×D₄	C₂³×C₃	1	3	yes	—
889	C₄×D₄	C₂³×C₃	1	3	yes	—
890	C₄×D₄	C₂³×C₃	1	12	yes	—
891	C₄×D₄	C₂³×C₃	1	3	yes	—
892	C₄×D₄	C₂³×C₃	1	3	yes	—
893	C₄×D₄	C₂³×C₃	1	6	yes	—
894	C₄×D₄	C₂³×C₃	1	6	yes	—
895	C₄×D₄	C₂³×C₃	1	3	yes	—
896	C₄×D₄	C₂³×C₃	1	6	yes	—
897	C₄×D₄	C₂³×C₃	1	12	yes	—
898	C₄×D₄	C₂³×C₃	1	6	yes	—
899	C₄×D₄	C₂³×C₃	1	12	yes	—
900	C₄×D₄	C₂³×C₃	1	6	yes	—
901	C₄×D₄	C₂³×C₃	1	6	yes	—
902	C₄×D₄	C₂³×C₃	1	6	yes	—
903	C₄×D₄	C₂³×C₃	1	6	yes	—
904	C₄×D₄	C₂³×C₃	1	6	yes	—
905	C₄×D₄	C₂³×C₃	1	6	yes	—
906	C₄×D₄	C₂³×C₃	1	6	yes	—
907	C₄×D₄	C₂³×C₃	1	6	yes	—
908	C₄×D₄	C₂³×C₃	1	12	yes	—
909	#117	C₂³×C₃	1	1	yes	characteristic
910	#117	C₂³×C₃	1	3	yes	—
911	#117	C₂³×C₃	1	3	yes	—
912	#117	C₂³×C₃	1	6	yes	—
913	#117	C₂³×C₃	1	6	yes	—
914	#117	C₂³×C₃	1	6	yes	—
915	#117	C₂³×C₃	1	6	yes	—
916	#117	C₂³×C₃	1	3	yes	—
917	#117	C₂³×C₃	1	3	yes	—
918	#117	C₂³×C₃	1	6	yes	—
919	#117	C₂³×C₃	1	6	yes	—
920	#117	C₂³×C₃	1	6	yes	—
921	#117	C₂³×C₃	1	3	yes	—
922	#117	C₂³×C₃	1	3	yes	—
923	#117	C₂³×C₃	1	3	yes	—
924	#117	C₂³×C₃	1	2	yes	—
925	#117	C₂³×C₃	1	6	yes	—
926	#117	C₂³×C₃	1	6	yes	—
927	#117	C₂³×C₃	1	6	yes	—
928	#117	C₂³×C₃	1	6	yes	—
929	#117	C₂³×C₃	1	12	yes	—
930	#117	C₂³×C₃	1	12	yes	—
931	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
932	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
933	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
934	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
935	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
936	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
937	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
938	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
940	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
941	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
942	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
943	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
944	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
945	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
946	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
947	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
948	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
949	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
950	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
951	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
952	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
953	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
954	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
955	C₂×C₄²	C₂³×C₃	1	6	yes	—
956	C₂×C₄²	C₂³×C₃	1	6	yes	—
957	C₂×C₄²	C₂³×C₃	1	6	yes	—
958	C₂×C₄²	C₂³×C₃	1	3	yes	—
959	C₂×C₄²	C₂³×C₃	1	6	yes	—
960	C₂³×C₃	—	2	6	no	—
961	C₂³×C₃	—	2	6	no	—
962	C₂³×C₃	—	2	6	no	—
963	C₂³×C₃	—	2	12	no	—
964	C₂³×C₃	—	4	3	no	—
965	C₂³×C₃	—	4	6	no	—
966	C₂³×C₃	—	4	3	no	—
967	C₂³×C₃	—	4	6	no	—
968	C₂³×C₃	—	4	3	no	—
969	C₂³×C₃	C₂⁵	1	1	yes	characteristic
970	C₂³×C₃	C₂⁵	1	6	yes	—
971	C₂³×C₃	C₂⁵	1	3	yes	—
972	C₂³×C₃	C₂⁵	1	3	yes	—
973	C₂³×C₃	C₂⁵	1	3	yes	—
974	C₂³×C₃	C₂⁵	1	1	yes	characteristic
975	C₃×Q₈	—	2	6	no	—
976	C₃×Q₈	—	2	6	no	—
977	C₃×Q₈	—	2	2	no	—
978	C₃×Q₈	—	4	6	no	—
979	C₃×Q₈	—	4	6	no	—
980	C₃×Q₈	C₂×#41	1	4	yes	—
981	C₃×D₄	—	2	12	no	—
982	C₃×D₄	—	2	12	no	—
983	C₃×D₄	—	2	12	no	—
984	C₃×D₄	—	2	2	no	—
985	C₃×D₄	—	2	12	no	—
986	C₃×D₄	—	2	6	no	—
987	C₃×D₄	—	2	6	no	—
988	C₃×D₄	—	2	12	no	—
989	C₃×D₄	—	2	6	no	—
990	C₃×D₄	—	2	6	no	—
991	C₃×D₄	—	4	3	no	—
992	C₃×D₄	—	4	12	no	—
993	C₃×D₄	—	4	3	no	—
994	C₃×D₄	—	4	6	no	—
995	C₃×D₄	—	4	12	no	—
996	C₃×D₄	—	4	6	no	—
997	C₃×D₄	—	4	6	no	—
998	C₃×D₄	—	4	6	no	—
999	C₃×D₄	C₂×#41	1	12	yes	—
1000	C₂×C₃×C₄	—	2	6	no	—
1001	C₂×C₃×C₄	—	2	6	no	—
1002	C₂×C₃×C₄	—	2	4	no	—
1003	C₂×C₃×C₄	—	2	2	no	—
1004	C₂×C₃×C₄	—	2	2	no	—
1005	C₂×C₃×C₄	—	2	6	no	—
1006	C₂×C₃×C₄	—	2	6	no	—
1007	C₂×C₃×C₄	—	2	6	no	—
1008	C₂×C₃×C₄	—	2	6	no	—
1009	C₂×C₃×C₄	—	2	6	no	—
1010	C₂×C₃×C₄	—	2	6	no	—
1011	C₂×C₃×C₄	—	2	12	no	—
1012	C₂×C₃×C₄	—	4	6	no	—
1013	C₂×C₃×C₄	—	4	6	no	—
1014	C₂×C₃×C₄	—	4	6	no	—
1015	C₂×C₃×C₄	—	4	3	no	—
1016	C₂×C₃×C₄	—	4	6	no	—
1017	C₂×C₃×C₄	—	4	12	no	—
1018	C₂×C₃×C₄	—	4	12	no	—
1019	C₂×C₃×C₄	—	4	3	no	—
1020	C₂×C₃×C₄	—	4	6	no	—
1021	C₂×C₃×C₄	—	4	6	no	—
1022	C₂×C₃×C₄	—	4	6	no	—
1023	C₂×C₃×C₄	—	4	6	no	—
1024	C₂×C₃×C₄	C₂×#41	1	12	yes	—
1025	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1026	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1027	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1028	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1029	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1030	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1031	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1032	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1033	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1034	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1035	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1036	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1037	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1038	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1039	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1040	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1041	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1042	C₂⁴	C₂⁴×C₃	1	3	yes	—
1043	C₂⁴	C₂⁴×C₃	1	3	yes	—
1044	C₂⁴	C₂⁴×C₃	1	6	yes	—
1045	#41	—	2	4	no	—
1046	#41	—	2	4	no	—
1047	#41	—	2	8	no	—
1048	#41	—	2	12	no	—
1049	#41	—	2	12	no	—
1050	#41	—	2	12	no	—
1051	#41	—	2	12	no	—
1052	#41	—	2	12	no	—
1053	#41	—	4	12	no	—
1054	#41	—	8	12	no	—
1055	#41	C₃×#41	1	8	yes	complemented
1056	C₂×Q₈	—	2	4	no	—
1057	C₂×Q₈	—	2	4	no	—
1058	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1059	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1060	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1061	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1062	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1063	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂×D₄	—	2	12	no	—
1065	C₂×D₄	—	2	12	no	—
1066	C₂×D₄	—	2	24	no	—
1067	C₂×D₄	—	2	12	no	—
1068	C₂×D₄	—	4	6	no	—
1069	C₂×D₄	—	4	12	no	—
1070	C₂×D₄	—	8	6	no	—
1071	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1072	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1073	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1074	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1075	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1076	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1077	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1078	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1079	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1080	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1081	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1082	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1083	C₂×D₄	C₂⁴×C₃	1	12	yes	—
1084	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1085	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1086	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1087	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1088	C₂×D₄	C₂⁴×C₃	1	12	yes	—
1089	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1090	C₂²×C₄	—	2	12	no	—
1091	C₂²×C₄	—	2	12	no	—
1092	C₂²×C₄	—	8	6	no	—
1093	C₂²×C₄	—	8	6	no	—
1094	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1095	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1096	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1097	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1098	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1099	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1100	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1102	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1103	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1104	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1106	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1107	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1108	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1109	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1110	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1111	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1112	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1113	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1114	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1115	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1116	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
1117	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
1118	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1119	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1120	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1121	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1122	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1123	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1124	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1125	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1128	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
1129	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1130	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1131	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1132	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1133	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1134	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1135	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1136	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1137	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1138	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1139	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
1140	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1141	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
1142	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1143	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1144	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1145	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1146	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1147	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1148	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1149	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1150	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1151	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1152	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1153	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1154	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1155	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1156	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1157	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1158	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1159	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1160	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1161	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1162	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1163	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1164	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1165	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1166	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1167	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1168	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1169	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1170	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1171	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1172	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1173	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1174	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1175	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1176	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1177	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1178	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1179	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1180	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1181	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1182	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1183	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1184	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1185	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1186	C₄²	C₂⁴×C₃	1	2	yes	—
1187	C₄²	C₂⁴×C₃	1	6	yes	—
1188	C₄²	C₂⁴×C₃	1	6	yes	—
1189	C₄²	C₂⁴×C₃	1	2	yes	—
1190	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1191	C₄²	C₂⁴×C₃	1	3	yes	—
1192	C₄²	C₂⁴×C₃	1	6	yes	—
1193	C₄²	C₂⁴×C₃	1	12	yes	—
1194	C₄²	C₂⁴×C₃	1	6	yes	—
1195	C₄²	C₂⁴×C₃	1	6	yes	—
1196	C₄²	C₂⁴×C₃	1	3	yes	—
1197	C₄²	C₂⁴×C₃	1	3	yes	—
1198	C₄²	C₂⁴×C₃	1	6	yes	—
1199	C₄²	C₂⁴×C₃	1	6	yes	—
1200	C₂²×C₃	—	2	1	no	—
1201	C₂²×C₃	—	2	3	no	—
1202	C₂²×C₃	—	2	1	no	—
1203	C₂²×C₃	—	2	3	no	—
1204	C₂²×C₃	—	2	1	no	—
1205	C₂²×C₃	—	2	3	no	—
1206	C₂²×C₃	—	2	3	no	—
1207	C₂²×C₃	—	2	6	no	—
1208	C₂²×C₃	—	2	3	no	—
1209	C₂²×C₃	—	2	6	no	—
1210	C₂²×C₃	—	2	1	no	—
1211	C₂²×C₃	—	2	3	no	—
1212	C₂²×C₃	—	2	3	no	—
1213	C₂²×C₃	—	2	6	no	—
1214	C₂²×C₃	—	2	3	no	—
1215	C₂²×C₃	—	2	1	no	—
1216	C₂²×C₃	—	4	12	no	—
1217	C₂²×C₃	—	8	6	no	—
1218	C₂²×C₃	—	8	12	no	—
1219	C₂²×C₃	C₂²×#41	1	6	yes	—
1220	C₂²×C₃	#585	1	2	yes	—
1221	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1222	C₃×C₄	—	2	1	no	—
1223	C₃×C₄	—	2	1	no	—
1224	C₃×C₄	—	2	2	no	—
1225	C₃×C₄	—	2	3	no	—
1226	C₃×C₄	—	2	3	no	—
1227	C₃×C₄	—	2	2	no	—
1228	C₃×C₄	—	2	2	no	—
1229	C₃×C₄	—	2	1	no	—
1230	C₃×C₄	—	2	6	no	—
1231	C₃×C₄	—	2	3	no	—
1232	C₃×C₄	—	2	1	no	—
1233	C₃×C₄	—	2	6	no	—
1234	C₃×C₄	—	2	6	no	—
1235	C₃×C₄	—	2	3	no	—
1236	C₃×C₄	—	2	2	no	—
1237	C₃×C₄	C₂²×#41	1	2	yes	—
1238	C₃×C₄	C₂²×#41	1	6	yes	—
1239	C₂³	—	2	6	no	—
1240	C₂³	—	2	6	no	—
1241	C₂³	—	2	6	no	—
1242	C₂³	—	2	12	no	—
1243	C₂³	—	4	3	no	—
1244	C₂³	—	4	6	no	—
1245	C₂³	—	4	3	no	—
1246	C₂³	—	4	6	no	—
1247	C₂³	—	4	3	no	—
1248	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1249	C₂³	C₂⁵×C₃	1	6	yes	—
1250	C₂³	C₂⁵×C₃	1	3	yes	—
1251	C₂³	C₂⁵×C₃	1	3	yes	—
1252	C₂³	C₂⁵×C₃	1	3	yes	—
1253	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1254	Q₈	—	2	6	no	—
1255	Q₈	—	2	6	no	—
1256	Q₈	—	2	2	no	—
1257	Q₈	—	4	6	no	—
1258	Q₈	—	4	6	no	—
1259	Q₈	C₂×C₃×#41	1	4	yes	—
1260	D₄	—	2	12	no	—
1261	D₄	—	2	12	no	—
1262	D₄	—	2	12	no	—
1263	D₄	—	2	2	no	—
1264	D₄	—	2	12	no	—
1265	D₄	—	2	6	no	—
1266	D₄	—	2	6	no	—
1267	D₄	—	2	12	no	—
1268	D₄	—	2	6	no	—
1269	D₄	—	2	6	no	—
1270	D₄	—	4	3	no	—
1271	D₄	—	4	12	no	—
1272	D₄	—	4	3	no	—
1273	D₄	—	4	6	no	—
1274	D₄	—	4	12	no	—
1275	D₄	—	4	6	no	—
1276	D₄	—	4	6	no	—
1277	D₄	—	4	6	no	—
1278	D₄	C₂×C₃×#41	1	12	yes	—
1279	C₂×C₄	—	2	6	no	—
1280	C₂×C₄	—	2	6	no	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	2	6	no	—
1285	C₂×C₄	—	2	6	no	—
1286	C₂×C₄	—	2	6	no	—
1287	C₂×C₄	—	2	6	no	—
1288	C₂×C₄	—	2	6	no	—
1289	C₂×C₄	—	2	6	no	—
1290	C₂×C₄	—	2	12	no	—
1291	C₂×C₄	—	4	6	no	—
1292	C₂×C₄	—	4	6	no	—
1293	C₂×C₄	—	4	6	no	—
1294	C₂×C₄	—	4	3	no	—
1295	C₂×C₄	—	4	6	no	—
1296	C₂×C₄	—	4	12	no	—
1297	C₂×C₄	—	4	12	no	—
1298	C₂×C₄	—	4	3	no	—
1299	C₂×C₄	—	4	6	no	—
1300	C₂×C₄	—	4	6	no	—
1301	C₂×C₄	—	4	6	no	—
1302	C₂×C₄	—	4	6	no	—
1303	C₂×C₄	C₂×C₃×#41	1	12	yes	—
1304	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1305	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1306	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1307	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1308	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1309	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1310	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1311	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1312	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1313	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1314	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1315	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1316	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1317	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1318	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1319	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1320	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1321	C₂×C₃	—	2	2	no	—
1322	C₂×C₃	—	2	6	no	—
1323	C₂×C₃	—	4	3	no	—
1324	C₂×C₃	—	4	3	no	—
1325	C₂×C₃	—	4	6	no	—
1326	C₂×C₃	—	4	1	no	—
1327	C₂×C₃	C₂³×#41	1	1	yes	characteristic
1328	C₂×C₃	C₂×#585	1	1	yes	characteristic
1329	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1330	C₂²	—	2	1	no	—
1331	C₂²	—	2	3	no	—
1332	C₂²	—	2	1	no	—
1333	C₂²	—	2	3	no	—
1334	C₂²	—	2	1	no	—
1335	C₂²	—	2	3	no	—
1336	C₂²	—	2	3	no	—
1337	C₂²	—	2	6	no	—
1338	C₂²	—	2	3	no	—
1339	C₂²	—	2	6	no	—
1340	C₂²	—	2	1	no	—
1341	C₂²	—	2	3	no	—
1342	C₂²	—	2	3	no	—
1343	C₂²	—	2	6	no	—
1344	C₂²	—	2	3	no	—
1345	C₂²	—	2	1	no	—
1346	C₂²	—	4	12	no	—
1347	C₂²	—	8	6	no	—
1348	C₂²	—	8	12	no	—
1349	C₂²	C₂²×C₃×#41	1	6	yes	—
1350	C₂²	C₃×#585	1	2	yes	—
1351	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1352	C₄	—	2	1	no	—
1353	C₄	—	2	1	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	3	no	—
1356	C₄	—	2	3	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	2	2	no	—
1359	C₄	—	2	1	no	—
1360	C₄	—	2	6	no	—
1361	C₄	—	2	3	no	—
1362	C₄	—	2	1	no	—
1363	C₄	—	2	6	no	—
1364	C₄	—	2	6	no	—
1365	C₄	—	2	3	no	—
1366	C₄	—	2	2	no	—
1367	C₄	C₂²×C₃×#41	1	2	yes	—
1368	C₄	C₂²×C₃×#41	1	6	yes	—
1369	C₃	#63008	1	1	yes	characteristic, direct product factor, Sylow
1370	C₂	—	2	2	no	—
1371	C₂	—	2	6	no	—
1372	C₂	—	4	3	no	—
1373	C₂	—	4	1	no	—
1374	C₂	—	4	6	no	—
1375	C₂	—	4	3	no	—
1376	C₂	C₂³×C₃×#41	1	1	yes	characteristic
1377	C₂	C₂×C₃×#585	1	1	yes	characteristic
1378	C₂	C₃×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3524	C₂	semidirect
2. C₃×#3521	C₂	semidirect
3. C₃×#3519	C₂	semidirect
4. C₃×#3517	C₂	semidirect
5. C₃×#3516	C₂	semidirect
6. C₃×#3513	C₂	semidirect
7. C₃×#3512	C₂	semidirect
8. C₃×#3506	C₂	semidirect
9. C₃×#3504	C₂	semidirect
10. C₃×#3494	C₂	semidirect
11. C₃×#3494	C₂	semidirect
12. C₃×#3493	C₂	semidirect
13. C₃×#3492	C₂	semidirect
14. C₃×#3488	C₂	semidirect
15. C₃×#3488	C₂	semidirect
16. C₃×#3481	C₂	semidirect
17. C₃×#3480	C₂	semidirect
18. C₃×#3475	C₂	semidirect
19. C₂×C₃×#553	C₂	semidirect
20. C₃×D₄×#41	C₂	semidirect
21. C₃×C₄×H(5,𝔽₂)	C₂	semidirect
22. C₃×#3428	C₂	semidirect
23. C₂×C₃×#520	C₂	semidirect
24. #63008	C₃	direct (N × H)
28. C₃×#559	C₂²	semidirect
29. C₃×#559	C₂²	semidirect
30. C₃×#557	C₂²	semidirect
31. C₃×#557	C₂²	semidirect
32. C₃×#556	C₂²	semidirect
33. C₃×#556	C₂²	semidirect
34. C₃×#556	C₂²	semidirect
35. C₃×#555	C₂²	semidirect
36. C₃×#555	C₂²	semidirect
37. C₃×#555	C₂²	semidirect
38. C₃×#554	C₂²	semidirect
39. C₃×#554	C₂²	semidirect
40. C₃×#554	C₂²	semidirect
41. C₃×#554	C₂²	semidirect
42. C₃×#553	C₂²	semidirect
43. C₃×#553	C₂²	semidirect
44. C₃×#553	C₂²	semidirect
45. C₃×#553	C₂²	semidirect
46. C₃×#553	C₂²	semidirect
47. C₃×#553	C₂²	semidirect
48. C₃×#553	C₂²	semidirect
49. C₃×#553	C₂²	semidirect
50. C₃×#553	C₂²	semidirect
51. C₃×#553	C₂²	semidirect
52. C₃×#553	C₂²	semidirect
53. C₃×#553	C₂²	semidirect
54. C₃×#553	C₂²	semidirect
55. C₃×#553	C₂²	semidirect
56. C₃×#552	C₂²	semidirect
57. C₃×#552	C₂²	semidirect
58. C₃×#552	C₂²	semidirect
59. C₃×#552	C₂²	semidirect
60. C₃×#552	C₂²	semidirect
61. C₃×#552	C₂²	semidirect
62. C₃×#551	C₂²	semidirect
63. C₃×#551	C₂²	semidirect
64. C₃×#551	C₂²	semidirect
65. C₃×#551	C₂²	semidirect
66. C₃×#550	C₂²	semidirect
67. C₃×#550	C₂²	semidirect
68. C₃×#550	C₂²	semidirect
69. C₃×#550	C₂²	semidirect
70. C₃×D₄×Q₈	C₂²	semidirect
71. C₃×#548	C₂²	semidirect
72. C₃×#548	C₂²	semidirect
73. C₃×#548	C₂²	semidirect
74. C₃×#548	C₂²	semidirect
75. C₃×#547	C₂²	semidirect
76. C₃×#547	C₂²	semidirect
77. C₃×#547	C₂²	semidirect
78. C₃×#547	C₂²	semidirect
79. C₃×#546	C₂²	semidirect
80. C₃×#546	C₂²	semidirect
81. C₃×#546	C₂²	semidirect
82. C₃×#546	C₂²	semidirect
83. C₃×#546	C₂²	semidirect
84. C₃×#546	C₂²	semidirect
85. C₃×#546	C₂²	semidirect
86. C₃×D₄²	C₂²	semidirect
87. C₃×D₄²	C₂²	semidirect
88. C₃×D₄²	C₂²	semidirect
89. C₃×#544	C₂²	semidirect
90. C₃×#544	C₂²	semidirect
91. C₃×#542	C₂²	semidirect
92. C₃×#542	C₂²	semidirect
93. C₃×#541	C₂²	semidirect
94. C₃×#540	C₂²	semidirect
95. C₃×#540	C₂²	semidirect
96. C₃×#540	C₂²	semidirect
97. C₃×#539	C₂²	semidirect
98. C₃×#538	C₂²	semidirect
99. C₃×#538	C₂²	semidirect
100. C₃×#537	C₂²	semidirect
101. C₃×#537	C₂²	semidirect
102. C₃×#535	C₂²	semidirect
103. C₃×#535	C₂²	semidirect
104. C₃×#533	C₂²	semidirect
105. C₃×#532	C₂²	semidirect
106. C₃×#532	C₂²	semidirect
107. C₃×#532	C₂²	semidirect
108. C₃×#529	C₂²	semidirect
109. C₃×#529	C₂²	semidirect
110. C₃×#529	C₂²	semidirect
111. C₃×#529	C₂²	semidirect
112. C₃×#529	C₂²	semidirect
113. C₃×#529	C₂²	semidirect
114. C₃×#529	C₂²	semidirect
115. C₃×#529	C₂²	semidirect
116. C₂×C₃×#126	C₂²	semidirect
117. C₂×C₃×#125	C₂²	semidirect
118. C₃×#525	C₂²	semidirect
119. C₃×#525	C₂²	semidirect
120. C₃×#525	C₂²	semidirect
121. C₃×#525	C₂²	semidirect
122. C₃×#525	C₂²	semidirect
123. C₃×#525	C₂²	semidirect
124. C₂×C₃×#123	C₂²	semidirect
125. C₂×C₃×#121	C₂²	semidirect
126. C₂×C₃×#121	C₂²	semidirect
127. C₂×C₃×#121	C₂²	semidirect
131. C₃×#520	C₂²	semidirect
132. C₃×#520	C₂²	semidirect
133. C₃×#520	C₂²	semidirect
134. C₃×#520	C₂²	semidirect
135. C₃×#520	C₂²	semidirect
136. C₃×#520	C₂²	semidirect
137. C₃×#520	C₂²	semidirect
138. C₃×#520	C₂²	semidirect
139. C₃×#519	C₂²	semidirect
140. C₃×#518	C₂²	semidirect
141. C₃×#518	C₂²	semidirect
142. C₃×#518	C₂²	semidirect
144. C₃×C₄×#41	C₂²	semidirect
145. C₃×C₄×#41	C₂²	semidirect
146. C₃×C₄×#41	C₂²	semidirect
147. C₃×C₄×#41	C₂²	semidirect
148. C₃×C₄×#41	C₂²	semidirect
149. C₂×C₃×C₄×Q₈	C₂²	semidirect
150. C₂×C₃×C₄×D₄	C₂²	semidirect
151. C₂×C₃×C₄×D₄	C₂²	semidirect
152. C₂×C₃×C₄×D₄	C₂²	semidirect
153. C₂×C₃×C₄×D₄	C₂²	semidirect
154. C₂×C₃×C₄×D₄	C₂²	semidirect
155. C₂×C₃×#117	C₂²	semidirect
156. C₂×C₃×#117	C₂²	semidirect
157. C₂×C₃×#117	C₂²	semidirect
158. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
159. #3524	C₂×C₃	semidirect
160. #3521	C₂×C₃	semidirect
161. #3519	C₂×C₃	semidirect
162. #3517	C₂×C₃	semidirect
163. #3516	C₂×C₃	semidirect
164. #3513	C₂×C₃	semidirect
165. #3512	C₂×C₃	semidirect
166. #3506	C₂×C₃	semidirect
167. #3504	C₂×C₃	semidirect
168. #3494	C₂×C₃	semidirect
169. #3494	C₂×C₃	semidirect
170. #3493	C₂×C₃	semidirect
171. #3492	C₂×C₃	semidirect
172. #3488	C₂×C₃	semidirect
173. #3488	C₂×C₃	semidirect
174. #3481	C₂×C₃	semidirect
175. #3480	C₂×C₃	semidirect
176. #3475	C₂×C₃	semidirect
177. C₂×#553	C₂×C₃	semidirect
178. D₄×#41	C₂×C₃	semidirect
179. C₄×H(5,𝔽₂)	C₂×C₃	semidirect
180. #3428	C₂×C₃	semidirect
181. C₂×#520	C₂×C₃	semidirect
428. #559	C₂²×C₃	semidirect
429. #559	C₂²×C₃	semidirect
430. #557	C₂²×C₃	semidirect
431. #557	C₂²×C₃	semidirect
432. #556	C₂²×C₃	semidirect
433. #556	C₂²×C₃	semidirect
434. #556	C₂²×C₃	semidirect
435. #555	C₂²×C₃	semidirect
436. #555	C₂²×C₃	semidirect
437. #555	C₂²×C₃	semidirect
438. #554	C₂²×C₃	semidirect
439. #554	C₂²×C₃	semidirect
440. #554	C₂²×C₃	semidirect
441. #554	C₂²×C₃	semidirect
442. #553	C₂²×C₃	semidirect
443. #553	C₂²×C₃	semidirect
444. #553	C₂²×C₃	semidirect
445. #553	C₂²×C₃	semidirect
446. #553	C₂²×C₃	semidirect
447. #553	C₂²×C₃	semidirect
448. #553	C₂²×C₃	semidirect
449. #553	C₂²×C₃	semidirect
450. #553	C₂²×C₃	semidirect
451. #553	C₂²×C₃	semidirect
452. #553	C₂²×C₃	semidirect
453. #553	C₂²×C₃	semidirect
454. #553	C₂²×C₃	semidirect
455. #553	C₂²×C₃	semidirect
456. #552	C₂²×C₃	semidirect
457. #552	C₂²×C₃	semidirect
458. #552	C₂²×C₃	semidirect
459. #552	C₂²×C₃	semidirect
460. #552	C₂²×C₃	semidirect
461. #552	C₂²×C₃	semidirect
462. #551	C₂²×C₃	semidirect
463. #551	C₂²×C₃	semidirect
464. #551	C₂²×C₃	semidirect
465. #551	C₂²×C₃	semidirect
466. #550	C₂²×C₃	semidirect
467. #550	C₂²×C₃	semidirect
468. #550	C₂²×C₃	semidirect
469. #550	C₂²×C₃	semidirect
470. D₄×Q₈	C₂²×C₃	semidirect
471. #548	C₂²×C₃	semidirect
472. #548	C₂²×C₃	semidirect
473. #548	C₂²×C₃	semidirect
474. #548	C₂²×C₃	semidirect
475. #547	C₂²×C₃	semidirect
476. #547	C₂²×C₃	semidirect
477. #547	C₂²×C₃	semidirect
478. #547	C₂²×C₃	semidirect
479. #546	C₂²×C₃	semidirect
480. #546	C₂²×C₃	semidirect
481. #546	C₂²×C₃	semidirect
482. #546	C₂²×C₃	semidirect
483. #546	C₂²×C₃	semidirect
484. #546	C₂²×C₃	semidirect
485. #546	C₂²×C₃	semidirect
486. D₄²	C₂²×C₃	semidirect
487. D₄²	C₂²×C₃	semidirect
488. D₄²	C₂²×C₃	semidirect
489. #544	C₂²×C₃	semidirect
490. #544	C₂²×C₃	semidirect
491. #542	C₂²×C₃	semidirect
492. #542	C₂²×C₃	semidirect
493. #541	C₂²×C₃	semidirect
494. #540	C₂²×C₃	semidirect
495. #540	C₂²×C₃	semidirect
496. #540	C₂²×C₃	semidirect
497. #539	C₂²×C₃	semidirect
498. #538	C₂²×C₃	semidirect
499. #538	C₂²×C₃	semidirect
500. #537	C₂²×C₃	semidirect
501. #537	C₂²×C₃	semidirect
502. #535	C₂²×C₃	semidirect
503. #535	C₂²×C₃	semidirect
504. #533	C₂²×C₃	semidirect
505. #532	C₂²×C₃	semidirect
506. #532	C₂²×C₃	semidirect
507. #532	C₂²×C₃	semidirect
508. #529	C₂²×C₃	semidirect
509. #529	C₂²×C₃	semidirect
510. #529	C₂²×C₃	semidirect
511. #529	C₂²×C₃	semidirect
512. #529	C₂²×C₃	semidirect
513. #529	C₂²×C₃	semidirect
514. #529	C₂²×C₃	semidirect
515. #529	C₂²×C₃	semidirect
516. C₂×#126	C₂²×C₃	semidirect
517. C₂×#125	C₂²×C₃	semidirect
518. #525	C₂²×C₃	semidirect
519. #525	C₂²×C₃	semidirect
520. #525	C₂²×C₃	semidirect
521. #525	C₂²×C₃	semidirect
522. #525	C₂²×C₃	semidirect
523. #525	C₂²×C₃	semidirect
524. C₂×#123	C₂²×C₃	semidirect
525. C₂×#121	C₂²×C₃	semidirect
526. C₂×#121	C₂²×C₃	semidirect
527. C₂×#121	C₂²×C₃	semidirect
531. #520	C₂²×C₃	semidirect
532. #520	C₂²×C₃	semidirect
533. #520	C₂²×C₃	semidirect
534. #520	C₂²×C₃	semidirect
535. #520	C₂²×C₃	semidirect
536. #520	C₂²×C₃	semidirect
537. #520	C₂²×C₃	semidirect
538. #520	C₂²×C₃	semidirect
539. #519	C₂²×C₃	semidirect
540. #518	C₂²×C₃	semidirect
541. #518	C₂²×C₃	semidirect
542. #518	C₂²×C₃	semidirect
544. C₄×#41	C₂²×C₃	semidirect
545. C₄×#41	C₂²×C₃	semidirect
546. C₄×#41	C₂²×C₃	semidirect
547. C₄×#41	C₂²×C₃	semidirect
548. C₄×#41	C₂²×C₃	semidirect
549. C₂×C₄×Q₈	C₂²×C₃	semidirect
550. C₂×C₄×D₄	C₂²×C₃	semidirect
551. C₂×C₄×D₄	C₂²×C₃	semidirect
552. C₂×C₄×D₄	C₂²×C₃	semidirect
553. C₂×C₄×D₄	C₂²×C₃	semidirect
554. C₂×C₄×D₄	C₂²×C₃	semidirect
555. C₂×#117	C₂²×C₃	semidirect
556. C₂×#117	C₂²×C₃	semidirect
557. C₂×#117	C₂²×C₃	semidirect
558. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
572. C₃×#41	#41	semidirect
1055. #41	C₃×#41	semidirect
1369. C₃	#63008	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×#3524	2
C₃×#3521	2
C₃×#3519	2
C₃×#3517	2
C₃×#3516	2
C₃×#3513	2
C₃×#3512	2
C₃×#3506	2
C₃×#3504	2
C₃×#3494	2
C₃×#3493	2
C₃×#3492	2
C₃×#3488	2
C₃×#3481	2
C₃×#3480	2
C₃×#3475	2
C₂×C₃×#553	2
C₃×D₄×#41	2
C₃×C₄×H(5,𝔽₂)	2
C₃×#3428	2
C₂×C₃×#520	2
#63008	3

Subgroups — C3×#63008 #10681615

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#63008 #10681615