Subgroups — C₃×#62927 #10681534

Order 768.

7096 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3560	C₂	1	4	yes	maximal, complemented
2	C₃×#3559	C₂	1	4	yes	maximal, complemented
3	C₃×#3551	C₂	1	4	yes	maximal, complemented
4	C₃×#3547	C₂	1	4	yes	maximal, complemented
5	C₃×#3542	C₂	1	4	yes	maximal, complemented
6	C₃×#3541	C₂	1	4	yes	maximal, complemented
7	C₃×#3539	C₂	1	4	yes	maximal, complemented
8	C₃×#3538	C₂	1	4	yes	maximal, complemented
9	C₃×#3534	C₂	1	4	yes	maximal, complemented
10	C₃×#3520	C₂	1	4	yes	maximal, complemented
11	C₃×#3512	C₂	1	2	yes	maximal, complemented
12	C₃×#3505	C₂	1	4	yes	maximal, complemented
13	C₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3494	C₂	1	4	yes	maximal, complemented
15	C₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3489	C₂	1	2	yes	maximal, complemented
18	C₃×#3489	C₂	1	2	yes	maximal, complemented
19	C₂×C₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×D₄×#41	C₂	1	2	yes	maximal, complemented
21	C₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#537	C₂	1	1	yes	maximal, characteristic, complemented
24	#62927	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂×C₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
26	C₂²×C₃×#41	C₂²	1	2	yes	complemented
27	C₂²×C₃×#41	C₂²	1	2	yes	complemented
28	C₃×#563	C₂²	1	8	yes	complemented
29	C₃×#563	C₂²	1	8	yes	complemented
30	C₃×#562	C₂²	1	8	yes	complemented
31	C₃×#562	C₂²	1	8	yes	complemented
32	C₃×#560	C₂²	1	8	yes	complemented
33	C₃×#560	C₂²	1	8	yes	complemented
34	C₃×#556	C₂²	1	4	yes	complemented
35	C₃×#555	C₂²	1	4	yes	complemented
36	C₃×#555	C₂²	1	8	yes	complemented
37	C₃×#554	C₂²	1	4	yes	complemented
38	C₃×#554	C₂²	1	8	yes	complemented
39	C₃×#553	C₂²	1	4	yes	complemented
40	C₃×#553	C₂²	1	4	yes	complemented
41	C₃×#553	C₂²	1	8	yes	complemented
42	C₃×#553	C₂²	1	8	yes	complemented
43	C₃×#553	C₂²	1	4	yes	complemented
44	C₃×#553	C₂²	1	8	yes	complemented
45	C₃×#553	C₂²	1	8	yes	complemented
46	C₃×#553	C₂²	1	8	yes	complemented
47	C₃×#553	C₂²	1	4	yes	complemented
48	C₃×#552	C₂²	1	4	yes	complemented
49	C₃×#552	C₂²	1	4	yes	complemented
50	C₃×#552	C₂²	1	4	yes	complemented
51	C₃×#552	C₂²	1	4	yes	complemented
52	C₃×#552	C₂²	1	4	yes	complemented
53	C₃×#552	C₂²	1	4	yes	complemented
54	C₃×#552	C₂²	1	4	yes	complemented
55	C₃×#552	C₂²	1	4	yes	complemented
56	C₃×#551	C₂²	1	8	yes	complemented
57	C₃×#551	C₂²	1	8	yes	complemented
58	C₃×#551	C₂²	1	8	yes	complemented
59	C₃×#551	C₂²	1	8	yes	complemented
60	C₃×#550	C₂²	1	2	yes	complemented
61	C₃×#550	C₂²	1	4	yes	complemented
62	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
63	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
64	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
65	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
66	C₃×#548	C₂²	1	2	yes	—
67	C₃×#548	C₂²	1	2	yes	complemented
68	C₃×#548	C₂²	1	4	yes	complemented
69	C₃×#548	C₂²	1	4	yes	complemented
70	C₃×#548	C₂²	1	4	yes	complemented
71	C₃×#548	C₂²	1	4	yes	complemented
72	C₃×#547	C₂²	1	2	yes	complemented
73	C₃×#547	C₂²	1	4	yes	complemented
74	C₃×#547	C₂²	1	8	yes	complemented
75	C₃×#547	C₂²	1	4	yes	complemented
76	C₃×#547	C₂²	1	4	yes	complemented
77	C₃×#547	C₂²	1	8	yes	complemented
78	C₃×#547	C₂²	1	4	yes	complemented
79	C₃×#546	C₂²	1	2	yes	—
80	C₃×#546	C₂²	1	4	yes	complemented
81	C₃×#546	C₂²	1	2	yes	complemented
82	C₃×#546	C₂²	1	4	yes	complemented
83	C₃×#546	C₂²	1	8	yes	complemented
84	C₃×#546	C₂²	1	4	yes	complemented
85	C₃×#546	C₂²	1	8	yes	complemented
86	C₃×#546	C₂²	1	4	yes	complemented
87	C₃×#546	C₂²	1	8	yes	complemented
88	C₃×D₄²	C₂²	1	4	yes	—
89	C₃×D₄²	C₂²	1	2	yes	complemented
90	C₃×#544	C₂²	1	1	yes	characteristic, complemented
91	C₃×#544	C₂²	1	4	yes	complemented
92	C₃×#544	C₂²	1	8	yes	complemented
93	C₃×#542	C₂²	1	4	yes	complemented
94	C₃×#542	C₂²	1	4	yes	complemented
95	C₃×#542	C₂²	1	4	yes	complemented
96	C₃×#542	C₂²	1	8	yes	complemented
97	C₃×#541	C₂²	1	4	yes	complemented
98	C₃×#541	C₂²	1	4	yes	complemented
99	C₃×#540	C₂²	1	4	yes	complemented
100	C₃×#540	C₂²	1	4	yes	complemented
101	C₃×#540	C₂²	1	4	yes	complemented
102	C₃×#540	C₂²	1	8	yes	complemented
103	C₃×#540	C₂²	1	8	yes	complemented
104	C₃×#539	C₂²	1	4	yes	complemented
105	C₃×#539	C₂²	1	4	yes	complemented
106	C₃×#539	C₂²	1	8	yes	complemented
107	C₃×#539	C₂²	1	8	yes	complemented
108	C₃×#539	C₂²	1	8	yes	complemented
109	C₃×#539	C₂²	1	8	yes	complemented
110	C₃×#538	C₂²	1	4	yes	complemented
111	C₃×#538	C₂²	1	8	yes	complemented
112	C₃×#538	C₂²	1	8	yes	complemented
113	C₃×#538	C₂²	1	8	yes	complemented
114	C₃×#537	C₂²	1	1	yes	characteristic
115	C₃×#537	C₂²	1	2	yes	complemented
116	C₃×#537	C₂²	1	1	yes	characteristic, complemented
117	C₃×#537	C₂²	1	4	yes	complemented
118	C₃×#537	C₂²	1	4	yes	complemented
119	C₃×#537	C₂²	1	4	yes	complemented
120	C₃×#537	C₂²	1	2	yes	complemented
121	C₃×#537	C₂²	1	1	yes	characteristic, complemented
122	C₃×#537	C₂²	1	4	yes	complemented
123	C₃×#537	C₂²	1	4	yes	complemented
124	C₃×#537	C₂²	1	4	yes	complemented
125	C₃×#536	C₂²	1	4	yes	complemented
126	C₃×#536	C₂²	1	2	yes	complemented
127	C₃×#536	C₂²	1	4	yes	complemented
128	C₃×#536	C₂²	1	4	yes	complemented
129	C₃×#535	C₂²	1	4	yes	complemented
130	C₃×#535	C₂²	1	4	yes	complemented
131	C₃×#534	C₂²	1	4	yes	complemented
132	C₃×#534	C₂²	1	8	yes	complemented
133	C₃×#533	C₂²	1	4	yes	complemented
134	C₃×#532	C₂²	1	4	yes	complemented
135	C₃×#532	C₂²	1	2	yes	complemented
136	C₃×#532	C₂²	1	4	yes	complemented
137	C₃×#532	C₂²	1	4	yes	complemented
138	C₃×#529	C₂²	1	4	yes	complemented
139	C₃×#529	C₂²	1	4	yes	complemented
140	C₃×#529	C₂²	1	4	yes	complemented
141	C₃×#529	C₂²	1	4	yes	complemented
142	C₃×#529	C₂²	1	4	yes	complemented
143	C₂×C₃×#126	C₂²	1	2	yes	complemented
144	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₃×#125	C₂²	1	2	yes	complemented
146	C₃×#525	C₂²	1	4	yes	—
147	C₃×#525	C₂²	1	4	yes	complemented
148	C₃×#525	C₂²	1	4	yes	complemented
149	C₃×#525	C₂²	1	2	yes	complemented
150	C₃×#525	C₂²	1	2	yes	complemented
151	C₃×#525	C₂²	1	4	yes	complemented
152	C₃×#525	C₂²	1	4	yes	complemented
153	C₃×#525	C₂²	1	4	yes	complemented
154	C₃×#525	C₂²	1	4	yes	complemented
155	C₂×C₃×#123	C₂²	1	2	yes	—
156	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
157	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
158	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
159	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
160	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
161	C₂×C₃×#121	C₂²	1	4	yes	complemented
162	C₂×C₃×#121	C₂²	1	4	yes	complemented
163	C₃×#520	C₂²	1	2	yes	complemented
164	C₃×#520	C₂²	1	2	yes	complemented
165	C₃×#520	C₂²	1	4	yes	complemented
166	C₃×#518	C₂²	1	4	yes	complemented
167	C₃×C₄×#41	C₂²	1	2	yes	complemented
168	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
170	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
171	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₃×#117	C₂²	1	2	yes	complemented
173	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	#3560	C₂×C₃	1	4	yes	complemented
175	#3559	C₂×C₃	1	4	yes	complemented
176	#3551	C₂×C₃	1	4	yes	complemented
177	#3547	C₂×C₃	1	4	yes	complemented
178	#3542	C₂×C₃	1	4	yes	complemented
179	#3541	C₂×C₃	1	4	yes	complemented
180	#3539	C₂×C₃	1	4	yes	complemented
181	#3538	C₂×C₃	1	4	yes	complemented
182	#3534	C₂×C₃	1	4	yes	complemented
183	#3520	C₂×C₃	1	4	yes	complemented
184	#3512	C₂×C₃	1	2	yes	complemented
185	#3505	C₂×C₃	1	4	yes	complemented
186	#3497	C₂×C₃	1	1	yes	characteristic, complemented
187	#3494	C₂×C₃	1	4	yes	complemented
188	#3493	C₂×C₃	1	1	yes	characteristic, complemented
189	#3492	C₂×C₃	1	1	yes	characteristic, complemented
190	#3489	C₂×C₃	1	2	yes	complemented
191	#3489	C₂×C₃	1	2	yes	complemented
192	C₂×#552	C₂×C₃	1	1	yes	characteristic, complemented
193	D₄×#41	C₂×C₃	1	2	yes	complemented
194	#3461	C₂×C₃	1	1	yes	characteristic, complemented
195	#3449	C₂×C₃	1	1	yes	characteristic, complemented
196	C₂×#537	C₂×C₃	1	1	yes	characteristic, complemented
197	C₃×2₋¹⁺⁴	—	4	8	no	—
198	C₂×C₃×#41	—	4	8	no	—
199	C₂×C₃×#41	—	4	8	no	—
200	C₂×C₃×#41	C₂³	1	2	yes	—
201	C₂×C₃×#41	C₂³	1	2	yes	—
202	C₂×C₃×#41	C₂³	1	2	yes	—
203	C₂×C₃×#41	C₂³	1	4	yes	—
204	C₂×C₃×#41	C₂³	1	2	yes	—
205	C₂×C₃×#41	C₂³	1	2	yes	—
206	C₂×C₃×#41	C₂³	1	4	yes	—
207	C₂×C₃×#41	C₂³	1	4	yes	—
208	C₂×C₃×#41	C₂³	1	4	yes	—
209	C₂×C₃×#41	C₂³	1	2	yes	—
210	C₂×C₃×#41	C₂³	1	2	yes	—
211	C₂×C₃×#41	C₂³	1	4	yes	—
212	C₂×C₃×#41	C₂³	1	4	yes	—
213	C₂×C₃×#41	C₂³	1	8	yes	—
214	C₂×C₃×#41	C₂³	1	4	yes	—
215	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
216	C₂²×C₃×Q₈	C₂³	1	2	yes	—
217	C₂²×C₃×Q₈	C₂³	1	2	yes	—
218	C₂²×C₃×Q₈	C₂³	1	4	yes	—
219	C₂²×C₃×Q₈	C₂³	1	4	yes	—
220	C₂²×C₃×D₄	C₂³	1	4	yes	—
221	C₂²×C₃×D₄	C₂³	1	2	yes	—
222	C₂²×C₃×D₄	C₂³	1	4	yes	—
223	C₂²×C₃×D₄	C₂³	1	2	yes	—
224	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₃×D₄	C₂³	1	4	yes	—
226	C₂²×C₃×D₄	C₂³	1	4	yes	—
227	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₃×C₄	C₂³	1	4	yes	—
230	C₂³×C₃×C₄	C₂³	1	4	yes	—
231	C₂³×C₃×C₄	C₂³	1	2	yes	—
232	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
233	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
234	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
235	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
236	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
237	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
238	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
239	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
240	C₃×#127	C₂³	1	4	yes	—
241	C₃×#127	C₂³	1	4	yes	—
242	C₃×#127	C₂³	1	4	yes	—
243	C₃×#127	C₂³	1	2	yes	—
244	C₃×#126	C₂³	1	8	yes	—
245	C₃×#126	C₂³	1	8	yes	—
246	C₃×#126	C₂³	1	8	yes	—
247	C₃×#126	C₂³	1	8	yes	—
248	C₃×#126	C₂³	1	8	yes	—
249	C₃×#126	C₂³	1	8	yes	—
250	C₃×#126	C₂³	1	8	yes	—
251	C₃×#126	C₂³	1	8	yes	—
252	C₃×#126	C₂³	1	8	yes	—
253	C₃×#126	C₂³	1	8	yes	—
254	C₃×#126	C₂³	1	8	yes	—
255	C₃×#125	C₂³	1	8	yes	—
256	C₃×#125	C₂³	1	8	yes	—
257	C₃×#125	C₂³	1	4	yes	—
258	C₃×#125	C₂³	1	8	yes	—
259	C₃×#125	C₂³	1	8	yes	—
260	C₃×#125	C₂³	1	4	yes	—
261	C₃×#125	C₂³	1	8	yes	—
262	C₃×#125	C₂³	1	4	yes	—
263	C₃×#125	C₂³	1	4	yes	—
264	C₃×#125	C₂³	1	4	yes	—
265	C₃×#125	C₂³	1	8	yes	—
266	C₃×#124	C₂³	1	4	yes	—
267	C₃×#124	C₂³	1	8	yes	—
268	C₃×#124	C₂³	1	8	yes	—
269	C₃×#124	C₂³	1	8	yes	—
270	C₃×#124	C₂³	1	8	yes	—
271	C₃×#124	C₂³	1	2	yes	—
272	C₃×#124	C₂³	1	2	yes	—
273	C₃×#124	C₂³	1	4	yes	—
274	C₃×#124	C₂³	1	4	yes	—
275	C₃×#124	C₂³	1	8	yes	—
276	C₃×#124	C₂³	1	4	yes	—
277	C₃×#124	C₂³	1	4	yes	—
278	C₃×#123	C₂³	1	8	yes	—
279	C₃×#123	C₂³	1	8	yes	—
280	C₃×#123	C₂³	1	8	yes	—
281	C₃×#123	C₂³	1	8	yes	—
282	C₃×#123	C₂³	1	8	yes	—
283	C₃×#123	C₂³	1	8	yes	—
284	C₃×#123	C₂³	1	8	yes	—
285	C₃×#123	C₂³	1	8	yes	—
286	C₃×#123	C₂³	1	8	yes	—
287	C₃×#123	C₂³	1	8	yes	—
288	C₃×#123	C₂³	1	8	yes	—
289	C₃×#123	C₂³	1	4	yes	—
290	C₃×#123	C₂³	1	4	yes	—
291	C₃×#123	C₂³	1	8	yes	—
292	C₃×#123	C₂³	1	8	yes	—
293	C₃×#123	C₂³	1	4	yes	—
294	C₃×#123	C₂³	1	8	yes	—
295	C₃×#123	C₂³	1	8	yes	—
296	C₃×#123	C₂³	1	4	yes	—
297	C₃×#123	C₂³	1	4	yes	—
298	C₃×#123	C₂³	1	8	yes	—
299	C₃×#123	C₂³	1	4	yes	—
300	C₃×#123	C₂³	1	8	yes	—
301	C₃×#123	C₂³	1	8	yes	—
302	C₃×#123	C₂³	1	8	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
305	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
307	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
308	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
309	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
310	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
311	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
312	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
314	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
315	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
316	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
318	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
320	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
321	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
322	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
323	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
325	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
326	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
328	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
329	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₃×#121	C₂³	1	4	yes	—
339	C₃×#121	C₂³	1	4	yes	—
340	C₃×#121	C₂³	1	8	yes	—
341	C₃×#121	C₂³	1	8	yes	—
342	C₃×#121	C₂³	1	8	yes	—
343	C₃×#121	C₂³	1	8	yes	—
344	C₃×#121	C₂³	1	8	yes	—
345	C₃×#121	C₂³	1	8	yes	—
346	C₃×#121	C₂³	1	8	yes	—
347	C₃×#121	C₂³	1	8	yes	—
348	C₃×#121	C₂³	1	8	yes	—
349	C₃×#121	C₂³	1	8	yes	—
350	C₃×#121	C₂³	1	4	yes	—
351	C₃×#121	C₂³	1	4	yes	—
352	C₃×#121	C₂³	1	4	yes	—
353	C₃×#121	C₂³	1	8	yes	—
354	C₃×#121	C₂³	1	8	yes	—
355	C₃×#121	C₂³	1	8	yes	—
356	C₃×#121	C₂³	1	4	yes	—
357	C₃×#121	C₂³	1	4	yes	—
358	C₃×#121	C₂³	1	4	yes	—
359	C₃×#121	C₂³	1	4	yes	—
360	C₃×#121	C₂³	1	8	yes	—
361	C₃×#121	C₂³	1	4	yes	—
362	C₃×#121	C₂³	1	4	yes	—
363	C₃×#121	C₂³	1	8	yes	—
364	C₃×#121	C₂³	1	4	yes	—
365	C₃×#121	C₂³	1	4	yes	—
366	C₃×#121	C₂³	1	4	yes	—
367	C₃×#121	C₂³	1	2	yes	—
368	C₃×#121	C₂³	1	2	yes	—
369	C₃×#121	C₂³	1	4	yes	—
370	C₃×#121	C₂³	1	4	yes	—
371	C₃×#121	C₂³	1	4	yes	—
372	C₃×#121	C₂³	1	4	yes	—
373	C₃×#121	C₂³	1	2	yes	—
374	C₃×#121	C₂³	1	2	yes	—
375	C₃×#121	C₂³	1	4	yes	—
376	C₃×#121	C₂³	1	4	yes	—
377	C₃×#121	C₂³	1	8	yes	—
378	C₃×#121	C₂³	1	4	yes	—
379	C₃×#121	C₂³	1	4	yes	—
380	C₃×#121	C₂³	1	4	yes	—
381	C₃×#120	C₂³	1	8	yes	—
382	C₃×#120	C₂³	1	8	yes	—
383	C₃×#120	C₂³	1	4	yes	—
384	C₃×#120	C₂³	1	4	yes	—
385	C₃×#120	C₂³	1	4	yes	—
386	C₃×#120	C₂³	1	4	yes	—
387	C₃×#120	C₂³	1	4	yes	—
388	C₃×#120	C₂³	1	8	yes	—
389	C₃×#120	C₂³	1	8	yes	—
390	C₃×#120	C₂³	1	4	yes	—
391	C₃×C₄×Q₈	C₂³	1	4	yes	—
392	C₃×C₄×Q₈	C₂³	1	4	yes	—
393	C₃×C₄×Q₈	C₂³	1	2	yes	—
394	C₃×C₄×Q₈	C₂³	1	2	yes	—
395	C₃×C₄×Q₈	C₂³	1	4	yes	—
396	C₃×C₄×Q₈	C₂³	1	4	yes	—
397	C₃×C₄×Q₈	C₂³	1	4	yes	—
398	C₃×C₄×Q₈	C₂³	1	4	yes	—
399	C₃×C₄×D₄	C₂³	1	2	yes	—
400	C₃×C₄×D₄	C₂³	1	2	yes	—
401	C₃×C₄×D₄	C₂³	1	2	yes	—
402	C₃×C₄×D₄	C₂³	1	2	yes	—
403	C₃×C₄×D₄	C₂³	1	4	yes	—
404	C₃×C₄×D₄	C₂³	1	4	yes	—
405	C₃×C₄×D₄	C₂³	1	4	yes	—
406	C₃×C₄×D₄	C₂³	1	4	yes	—
407	C₃×C₄×D₄	C₂³	1	4	yes	—
408	C₃×C₄×D₄	C₂³	1	4	yes	—
409	C₃×C₄×D₄	C₂³	1	4	yes	—
410	C₃×C₄×D₄	C₂³	1	2	yes	—
411	C₃×C₄×D₄	C₂³	1	4	yes	—
412	C₃×C₄×D₄	C₂³	1	4	yes	—
413	C₃×C₄×D₄	C₂³	1	2	yes	—
414	C₃×C₄×D₄	C₂³	1	4	yes	—
415	C₃×C₄×D₄	C₂³	1	8	yes	—
416	C₃×C₄×D₄	C₂³	1	4	yes	—
417	C₃×C₄×D₄	C₂³	1	8	yes	—
418	C₃×C₄×D₄	C₂³	1	4	yes	—
419	C₃×C₄×D₄	C₂³	1	4	yes	—
420	C₃×C₄×D₄	C₂³	1	4	yes	—
421	C₃×C₄×D₄	C₂³	1	8	yes	—
422	C₃×C₄×D₄	C₂³	1	8	yes	—
423	C₃×C₄×D₄	C₂³	1	8	yes	—
424	C₃×C₄×D₄	C₂³	1	4	yes	—
425	C₃×C₄×D₄	C₂³	1	4	yes	—
426	C₃×C₄×D₄	C₂³	1	4	yes	—
427	C₃×C₄×D₄	C₂³	1	4	yes	—
428	C₃×C₄×D₄	C₂³	1	4	yes	—
429	C₃×C₄×D₄	C₂³	1	4	yes	—
430	C₃×C₄×D₄	C₂³	1	8	yes	—
431	C₃×C₄×D₄	C₂³	1	8	yes	—
432	C₃×C₄×D₄	C₂³	1	8	yes	—
433	C₃×C₄×D₄	C₂³	1	8	yes	—
434	C₃×C₄×D₄	C₂³	1	8	yes	—
435	C₃×C₄×D₄	C₂³	1	8	yes	—
436	C₃×#117	C₂³	1	4	yes	—
437	C₃×#117	C₂³	1	4	yes	—
438	C₃×#117	C₂³	1	4	yes	—
439	C₃×#117	C₂³	1	4	yes	—
440	C₃×#117	C₂³	1	4	yes	—
441	C₃×#117	C₂³	1	4	yes	—
442	C₃×#117	C₂³	1	2	yes	—
443	C₃×#117	C₂³	1	4	yes	—
444	C₃×#117	C₂³	1	4	yes	—
445	C₃×#117	C₂³	1	4	yes	—
446	C₃×#117	C₂³	1	4	yes	—
447	C₃×#117	C₂³	1	8	yes	—
448	C₃×#117	C₂³	1	8	yes	—
449	C₃×#117	C₂³	1	8	yes	—
450	C₃×#117	C₂³	1	8	yes	—
451	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
454	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
456	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
458	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
459	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
461	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
462	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
463	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
464	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
465	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
466	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
467	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
468	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
469	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
471	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
472	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
473	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
474	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
475	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
476	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
477	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
478	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
479	C₂×C₃×C₄²	C₂³	1	2	yes	—
480	C₂×C₃×C₄²	C₂³	1	2	yes	—
481	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
482	C₂×C₃×C₄²	C₂³	1	4	yes	—
483	C₂×2₋¹⁺⁴	C₂²×C₃	1	2	yes	complemented
484	C₂²×#41	C₂²×C₃	1	2	yes	complemented
485	C₂²×#41	C₂²×C₃	1	2	yes	complemented
486	#563	C₂²×C₃	1	8	yes	complemented
487	#563	C₂²×C₃	1	8	yes	complemented
488	#562	C₂²×C₃	1	8	yes	complemented
489	#562	C₂²×C₃	1	8	yes	complemented
490	#560	C₂²×C₃	1	8	yes	complemented
491	#560	C₂²×C₃	1	8	yes	complemented
492	#556	C₂²×C₃	1	4	yes	complemented
493	#555	C₂²×C₃	1	4	yes	complemented
494	#555	C₂²×C₃	1	8	yes	complemented
495	#554	C₂²×C₃	1	4	yes	complemented
496	#554	C₂²×C₃	1	8	yes	complemented
497	#553	C₂²×C₃	1	4	yes	complemented
498	#553	C₂²×C₃	1	4	yes	complemented
499	#553	C₂²×C₃	1	8	yes	complemented
500	#553	C₂²×C₃	1	8	yes	complemented
501	#553	C₂²×C₃	1	4	yes	complemented
502	#553	C₂²×C₃	1	8	yes	complemented
503	#553	C₂²×C₃	1	8	yes	complemented
504	#553	C₂²×C₃	1	8	yes	complemented
505	#553	C₂²×C₃	1	4	yes	complemented
506	#552	C₂²×C₃	1	4	yes	complemented
507	#552	C₂²×C₃	1	4	yes	complemented
508	#552	C₂²×C₃	1	4	yes	complemented
509	#552	C₂²×C₃	1	4	yes	complemented
510	#552	C₂²×C₃	1	4	yes	complemented
511	#552	C₂²×C₃	1	4	yes	complemented
512	#552	C₂²×C₃	1	4	yes	complemented
513	#552	C₂²×C₃	1	4	yes	complemented
514	#551	C₂²×C₃	1	8	yes	complemented
515	#551	C₂²×C₃	1	8	yes	complemented
516	#551	C₂²×C₃	1	8	yes	complemented
517	#551	C₂²×C₃	1	8	yes	complemented
518	#550	C₂²×C₃	1	2	yes	complemented
519	#550	C₂²×C₃	1	4	yes	complemented
520	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
521	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
522	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
523	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
524	#548	C₂²×C₃	1	2	yes	—
525	#548	C₂²×C₃	1	2	yes	complemented
526	#548	C₂²×C₃	1	4	yes	complemented
527	#548	C₂²×C₃	1	4	yes	complemented
528	#548	C₂²×C₃	1	4	yes	complemented
529	#548	C₂²×C₃	1	4	yes	complemented
530	#547	C₂²×C₃	1	2	yes	complemented
531	#547	C₂²×C₃	1	4	yes	complemented
532	#547	C₂²×C₃	1	8	yes	complemented
533	#547	C₂²×C₃	1	4	yes	complemented
534	#547	C₂²×C₃	1	4	yes	complemented
535	#547	C₂²×C₃	1	8	yes	complemented
536	#547	C₂²×C₃	1	4	yes	complemented
537	#546	C₂²×C₃	1	2	yes	—
538	#546	C₂²×C₃	1	4	yes	complemented
539	#546	C₂²×C₃	1	2	yes	complemented
540	#546	C₂²×C₃	1	4	yes	complemented
541	#546	C₂²×C₃	1	8	yes	complemented
542	#546	C₂²×C₃	1	4	yes	complemented
543	#546	C₂²×C₃	1	8	yes	complemented
544	#546	C₂²×C₃	1	4	yes	complemented
545	#546	C₂²×C₃	1	8	yes	complemented
546	D₄²	C₂²×C₃	1	4	yes	—
547	D₄²	C₂²×C₃	1	2	yes	complemented
548	#544	C₂²×C₃	1	1	yes	characteristic, complemented
549	#544	C₂²×C₃	1	4	yes	complemented
550	#544	C₂²×C₃	1	8	yes	complemented
551	#542	C₂²×C₃	1	4	yes	complemented
552	#542	C₂²×C₃	1	4	yes	complemented
553	#542	C₂²×C₃	1	4	yes	complemented
554	#542	C₂²×C₃	1	8	yes	complemented
555	#541	C₂²×C₃	1	4	yes	complemented
556	#541	C₂²×C₃	1	4	yes	complemented
557	#540	C₂²×C₃	1	4	yes	complemented
558	#540	C₂²×C₃	1	4	yes	complemented
559	#540	C₂²×C₃	1	4	yes	complemented
560	#540	C₂²×C₃	1	8	yes	complemented
561	#540	C₂²×C₃	1	8	yes	complemented
562	#539	C₂²×C₃	1	4	yes	complemented
563	#539	C₂²×C₃	1	4	yes	complemented
564	#539	C₂²×C₃	1	8	yes	complemented
565	#539	C₂²×C₃	1	8	yes	complemented
566	#539	C₂²×C₃	1	8	yes	complemented
567	#539	C₂²×C₃	1	8	yes	complemented
568	#538	C₂²×C₃	1	4	yes	complemented
569	#538	C₂²×C₃	1	8	yes	complemented
570	#538	C₂²×C₃	1	8	yes	complemented
571	#538	C₂²×C₃	1	8	yes	complemented
572	#537	C₂²×C₃	1	1	yes	characteristic
573	#537	C₂²×C₃	1	2	yes	complemented
574	#537	C₂²×C₃	1	1	yes	characteristic, complemented
575	#537	C₂²×C₃	1	4	yes	complemented
576	#537	C₂²×C₃	1	4	yes	complemented
577	#537	C₂²×C₃	1	4	yes	complemented
578	#537	C₂²×C₃	1	2	yes	complemented
579	#537	C₂²×C₃	1	1	yes	characteristic, complemented
580	#537	C₂²×C₃	1	4	yes	complemented
581	#537	C₂²×C₃	1	4	yes	complemented
582	#537	C₂²×C₃	1	4	yes	complemented
583	#536	C₂²×C₃	1	4	yes	complemented
584	#536	C₂²×C₃	1	2	yes	complemented
585	#536	C₂²×C₃	1	4	yes	complemented
586	#536	C₂²×C₃	1	4	yes	complemented
587	#535	C₂²×C₃	1	4	yes	complemented
588	#535	C₂²×C₃	1	4	yes	complemented
589	#534	C₂²×C₃	1	4	yes	complemented
590	#534	C₂²×C₃	1	8	yes	complemented
591	#533	C₂²×C₃	1	4	yes	complemented
592	#532	C₂²×C₃	1	4	yes	complemented
593	#532	C₂²×C₃	1	2	yes	complemented
594	#532	C₂²×C₃	1	4	yes	complemented
595	#532	C₂²×C₃	1	4	yes	complemented
596	#529	C₂²×C₃	1	4	yes	complemented
597	#529	C₂²×C₃	1	4	yes	complemented
598	#529	C₂²×C₃	1	4	yes	complemented
599	#529	C₂²×C₃	1	4	yes	complemented
600	#529	C₂²×C₃	1	4	yes	complemented
601	C₂×#126	C₂²×C₃	1	2	yes	complemented
602	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
603	C₂×#125	C₂²×C₃	1	2	yes	complemented
604	#525	C₂²×C₃	1	4	yes	—
605	#525	C₂²×C₃	1	4	yes	complemented
606	#525	C₂²×C₃	1	4	yes	complemented
607	#525	C₂²×C₃	1	2	yes	complemented
608	#525	C₂²×C₃	1	2	yes	complemented
609	#525	C₂²×C₃	1	4	yes	complemented
610	#525	C₂²×C₃	1	4	yes	complemented
611	#525	C₂²×C₃	1	4	yes	complemented
612	#525	C₂²×C₃	1	4	yes	complemented
613	C₂×#123	C₂²×C₃	1	2	yes	—
614	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
615	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
616	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
617	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
618	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
619	C₂×#121	C₂²×C₃	1	4	yes	complemented
620	C₂×#121	C₂²×C₃	1	4	yes	complemented
621	#520	C₂²×C₃	1	2	yes	complemented
622	#520	C₂²×C₃	1	2	yes	complemented
623	#520	C₂²×C₃	1	4	yes	complemented
624	#518	C₂²×C₃	1	4	yes	complemented
625	C₄×#41	C₂²×C₃	1	2	yes	complemented
626	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
627	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
628	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
629	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
630	C₂×#117	C₂²×C₃	1	2	yes	complemented
631	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
632	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
633	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
634	C₂⁴×C₃	C₂⁴	1	4	yes	—
635	C₂⁴×C₃	C₂⁴	1	4	yes	—
636	C₃×#41	—	2	8	no	—
637	C₃×#41	—	2	8	no	—
638	C₃×#41	—	2	8	no	—
639	C₃×#41	—	4	8	no	—
640	C₃×#41	—	4	8	no	—
641	C₃×#41	—	4	8	no	—
642	C₃×#41	—	4	8	no	—
643	C₃×#41	—	4	8	no	—
644	C₃×#41	—	4	16	no	—
645	C₃×#41	—	4	4	no	—
646	C₃×#41	—	4	4	no	—
647	C₃×#41	—	4	4	no	—
648	C₃×#41	—	4	4	no	—
649	C₃×#41	—	4	8	no	—
650	C₃×#41	—	4	8	no	—
651	C₂×C₃×Q₈	—	2	4	no	—
652	C₂×C₃×Q₈	—	4	4	no	—
653	C₂×C₃×Q₈	—	4	4	no	—
654	C₂×C₃×Q₈	—	4	8	no	—
655	C₂×C₃×Q₈	—	4	8	no	—
656	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
657	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
658	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
659	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
660	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
661	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
662	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
663	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
664	C₂×C₃×D₄	—	4	4	no	—
665	C₂×C₃×D₄	—	4	4	no	—
666	C₂×C₃×D₄	—	4	8	no	—
667	C₂×C₃×D₄	—	4	2	no	—
668	C₂×C₃×D₄	—	4	8	no	—
669	C₂×C₃×D₄	—	4	8	no	—
670	C₂×C₃×D₄	—	4	8	no	—
671	C₂×C₃×D₄	C₂⁴	1	4	yes	—
672	C₂×C₃×D₄	C₂⁴	1	2	yes	—
673	C₂×C₃×D₄	C₂⁴	1	4	yes	—
674	C₂×C₃×D₄	C₂⁴	1	4	yes	—
675	C₂×C₃×D₄	C₂⁴	1	4	yes	—
676	C₂×C₃×D₄	C₂⁴	1	2	yes	—
677	C₂×C₃×D₄	C₂⁴	1	2	yes	—
678	C₂×C₃×D₄	C₂⁴	1	2	yes	—
679	C₂×C₃×D₄	C₂⁴	1	4	yes	—
680	C₂×C₃×D₄	C₂⁴	1	8	yes	—
681	C₂×C₃×D₄	C₂⁴	1	4	yes	—
682	C₂×C₃×D₄	C₂⁴	1	4	yes	—
683	C₂×C₃×D₄	C₂⁴	1	4	yes	—
684	C₂×C₃×D₄	C₂⁴	1	4	yes	—
685	C₂×C₃×D₄	C₂⁴	1	4	yes	—
686	C₂×C₃×D₄	C₂⁴	1	2	yes	—
687	C₂×C₃×D₄	C₂⁴	1	8	yes	—
688	C₂×C₃×D₄	C₂⁴	1	4	yes	—
689	C₂×C₃×D₄	C₂⁴	1	4	yes	—
690	C₂×C₃×D₄	C₂⁴	1	4	yes	—
691	C₂×C₃×D₄	C₂⁴	1	8	yes	—
692	C₂×C₃×D₄	C₂⁴	1	4	yes	—
693	C₂×C₃×D₄	C₂⁴	1	4	yes	—
694	C₂×C₃×D₄	C₂⁴	1	4	yes	—
695	C₂×C₃×D₄	C₂⁴	1	4	yes	—
696	C₂×C₃×D₄	C₂⁴	1	4	yes	—
697	C₂²×C₃×C₄	—	2	4	no	—
698	C₂²×C₃×C₄	—	2	4	no	—
699	C₂²×C₃×C₄	—	4	8	no	—
700	C₂²×C₃×C₄	—	4	8	no	—
701	C₂²×C₃×C₄	—	4	4	no	—
702	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
703	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
704	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
705	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
706	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
707	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
708	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
709	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
710	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
711	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
712	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
713	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
714	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
715	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
716	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
717	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
718	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
719	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
720	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
721	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
722	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
723	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
724	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
725	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
726	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
727	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
728	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
729	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
730	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
731	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
732	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
736	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
738	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
740	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
741	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
742	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
743	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
748	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
749	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
750	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
752	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
756	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
757	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
758	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
759	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
760	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
761	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
767	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
770	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
771	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
773	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
774	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
775	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
776	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
778	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
780	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
781	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
782	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
783	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
784	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
785	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
786	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
788	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
789	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
796	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
797	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
798	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
800	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₃×C₄²	C₂⁴	1	2	yes	—
803	C₃×C₄²	C₂⁴	1	4	yes	—
804	C₃×C₄²	C₂⁴	1	4	yes	—
805	C₃×C₄²	C₂⁴	1	4	yes	—
806	C₃×C₄²	C₂⁴	1	4	yes	—
807	C₃×C₄²	C₂⁴	1	4	yes	—
808	C₃×C₄²	C₂⁴	1	2	yes	—
809	C₃×C₄²	C₂⁴	1	4	yes	—
810	C₃×C₄²	C₂⁴	1	4	yes	—
811	C₃×C₄²	C₂⁴	1	8	yes	—
812	C₃×C₄²	C₂⁴	1	8	yes	—
813	2₋¹⁺⁴	—	4	8	no	—
814	C₂×#41	—	4	8	no	—
815	C₂×#41	—	4	8	no	—
816	C₂×#41	C₂³×C₃	1	2	yes	—
817	C₂×#41	C₂³×C₃	1	2	yes	—
818	C₂×#41	C₂³×C₃	1	2	yes	—
819	C₂×#41	C₂³×C₃	1	4	yes	—
820	C₂×#41	C₂³×C₃	1	4	yes	—
821	C₂×#41	C₂³×C₃	1	2	yes	—
822	C₂×#41	C₂³×C₃	1	2	yes	—
823	C₂×#41	C₂³×C₃	1	4	yes	—
824	C₂×#41	C₂³×C₃	1	4	yes	—
825	C₂×#41	C₂³×C₃	1	4	yes	—
826	C₂×#41	C₂³×C₃	1	4	yes	—
827	C₂×#41	C₂³×C₃	1	8	yes	—
828	C₂×#41	C₂³×C₃	1	4	yes	—
829	C₂×#41	C₂³×C₃	1	2	yes	—
830	C₂×#41	C₂³×C₃	1	2	yes	—
831	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
832	C₂²×Q₈	C₂³×C₃	1	2	yes	—
833	C₂²×Q₈	C₂³×C₃	1	4	yes	—
834	C₂²×Q₈	C₂³×C₃	1	4	yes	—
835	C₂²×Q₈	C₂³×C₃	1	2	yes	—
836	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
837	C₂²×D₄	C₂³×C₃	1	4	yes	—
838	C₂²×D₄	C₂³×C₃	1	4	yes	—
839	C₂²×D₄	C₂³×C₃	1	4	yes	—
840	C₂²×D₄	C₂³×C₃	1	2	yes	—
841	C₂²×D₄	C₂³×C₃	1	4	yes	—
842	C₂²×D₄	C₂³×C₃	1	2	yes	—
843	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
844	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
845	C₂³×C₄	C₂³×C₃	1	2	yes	—
846	C₂³×C₄	C₂³×C₃	1	4	yes	—
847	C₂³×C₄	C₂³×C₃	1	4	yes	—
848	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
849	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
850	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
851	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
852	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
853	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
854	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
855	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
856	#127	C₂³×C₃	1	4	yes	—
857	#127	C₂³×C₃	1	4	yes	—
858	#127	C₂³×C₃	1	4	yes	—
859	#127	C₂³×C₃	1	2	yes	—
860	#126	C₂³×C₃	1	8	yes	—
861	#126	C₂³×C₃	1	8	yes	—
862	#126	C₂³×C₃	1	8	yes	—
863	#126	C₂³×C₃	1	8	yes	—
864	#126	C₂³×C₃	1	8	yes	—
865	#126	C₂³×C₃	1	8	yes	—
866	#126	C₂³×C₃	1	8	yes	—
867	#126	C₂³×C₃	1	8	yes	—
868	#126	C₂³×C₃	1	8	yes	—
869	#126	C₂³×C₃	1	8	yes	—
870	#126	C₂³×C₃	1	8	yes	—
871	#125	C₂³×C₃	1	4	yes	—
872	#125	C₂³×C₃	1	8	yes	—
873	#125	C₂³×C₃	1	4	yes	—
874	#125	C₂³×C₃	1	8	yes	—
875	#125	C₂³×C₃	1	4	yes	—
876	#125	C₂³×C₃	1	4	yes	—
877	#125	C₂³×C₃	1	4	yes	—
878	#125	C₂³×C₃	1	8	yes	—
879	#125	C₂³×C₃	1	8	yes	—
880	#125	C₂³×C₃	1	8	yes	—
881	#125	C₂³×C₃	1	8	yes	—
882	#124	C₂³×C₃	1	2	yes	—
883	#124	C₂³×C₃	1	2	yes	—
884	#124	C₂³×C₃	1	4	yes	—
885	#124	C₂³×C₃	1	4	yes	—
886	#124	C₂³×C₃	1	4	yes	—
887	#124	C₂³×C₃	1	8	yes	—
888	#124	C₂³×C₃	1	8	yes	—
889	#124	C₂³×C₃	1	4	yes	—
890	#124	C₂³×C₃	1	4	yes	—
891	#124	C₂³×C₃	1	8	yes	—
892	#124	C₂³×C₃	1	8	yes	—
893	#124	C₂³×C₃	1	8	yes	—
894	#123	C₂³×C₃	1	8	yes	—
895	#123	C₂³×C₃	1	8	yes	—
896	#123	C₂³×C₃	1	4	yes	—
897	#123	C₂³×C₃	1	4	yes	—
898	#123	C₂³×C₃	1	4	yes	—
899	#123	C₂³×C₃	1	8	yes	—
900	#123	C₂³×C₃	1	8	yes	—
901	#123	C₂³×C₃	1	8	yes	—
902	#123	C₂³×C₃	1	4	yes	—
903	#123	C₂³×C₃	1	4	yes	—
904	#123	C₂³×C₃	1	8	yes	—
905	#123	C₂³×C₃	1	8	yes	—
906	#123	C₂³×C₃	1	4	yes	—
907	#123	C₂³×C₃	1	8	yes	—
908	#123	C₂³×C₃	1	8	yes	—
909	#123	C₂³×C₃	1	8	yes	—
910	#123	C₂³×C₃	1	8	yes	—
911	#123	C₂³×C₃	1	8	yes	—
912	#123	C₂³×C₃	1	8	yes	—
913	#123	C₂³×C₃	1	8	yes	—
914	#123	C₂³×C₃	1	8	yes	—
915	#123	C₂³×C₃	1	8	yes	—
916	#123	C₂³×C₃	1	8	yes	—
917	#123	C₂³×C₃	1	8	yes	—
918	#123	C₂³×C₃	1	8	yes	—
919	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
920	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
921	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
922	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
923	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
924	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
925	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
926	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
927	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
928	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
929	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
930	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
931	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
932	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
933	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
934	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
935	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
936	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
937	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
938	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
939	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
940	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
941	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
942	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
943	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
944	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
945	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
946	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
947	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
948	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
949	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
950	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
951	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
952	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
953	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
954	#121	C₂³×C₃	1	4	yes	—
955	#121	C₂³×C₃	1	4	yes	—
956	#121	C₂³×C₃	1	4	yes	—
957	#121	C₂³×C₃	1	4	yes	—
958	#121	C₂³×C₃	1	8	yes	—
959	#121	C₂³×C₃	1	4	yes	—
960	#121	C₂³×C₃	1	4	yes	—
961	#121	C₂³×C₃	1	8	yes	—
962	#121	C₂³×C₃	1	4	yes	—
963	#121	C₂³×C₃	1	4	yes	—
964	#121	C₂³×C₃	1	8	yes	—
965	#121	C₂³×C₃	1	8	yes	—
966	#121	C₂³×C₃	1	4	yes	—
967	#121	C₂³×C₃	1	4	yes	—
968	#121	C₂³×C₃	1	2	yes	—
969	#121	C₂³×C₃	1	2	yes	—
970	#121	C₂³×C₃	1	4	yes	—
971	#121	C₂³×C₃	1	4	yes	—
972	#121	C₂³×C₃	1	4	yes	—
973	#121	C₂³×C₃	1	4	yes	—
974	#121	C₂³×C₃	1	2	yes	—
975	#121	C₂³×C₃	1	2	yes	—
976	#121	C₂³×C₃	1	4	yes	—
977	#121	C₂³×C₃	1	4	yes	—
978	#121	C₂³×C₃	1	4	yes	—
979	#121	C₂³×C₃	1	4	yes	—
980	#121	C₂³×C₃	1	8	yes	—
981	#121	C₂³×C₃	1	4	yes	—
982	#121	C₂³×C₃	1	4	yes	—
983	#121	C₂³×C₃	1	4	yes	—
984	#121	C₂³×C₃	1	4	yes	—
985	#121	C₂³×C₃	1	4	yes	—
986	#121	C₂³×C₃	1	8	yes	—
987	#121	C₂³×C₃	1	8	yes	—
988	#121	C₂³×C₃	1	8	yes	—
989	#121	C₂³×C₃	1	8	yes	—
990	#121	C₂³×C₃	1	8	yes	—
991	#121	C₂³×C₃	1	8	yes	—
992	#121	C₂³×C₃	1	8	yes	—
993	#121	C₂³×C₃	1	8	yes	—
994	#121	C₂³×C₃	1	8	yes	—
995	#121	C₂³×C₃	1	8	yes	—
996	#121	C₂³×C₃	1	8	yes	—
997	#120	C₂³×C₃	1	4	yes	—
998	#120	C₂³×C₃	1	4	yes	—
999	#120	C₂³×C₃	1	4	yes	—
1000	#120	C₂³×C₃	1	8	yes	—
1001	#120	C₂³×C₃	1	8	yes	—
1002	#120	C₂³×C₃	1	8	yes	—
1003	#120	C₂³×C₃	1	8	yes	—
1004	#120	C₂³×C₃	1	4	yes	—
1005	#120	C₂³×C₃	1	4	yes	—
1006	#120	C₂³×C₃	1	4	yes	—
1007	C₄×Q₈	C₂³×C₃	1	4	yes	—
1008	C₄×Q₈	C₂³×C₃	1	4	yes	—
1009	C₄×Q₈	C₂³×C₃	1	2	yes	—
1010	C₄×Q₈	C₂³×C₃	1	2	yes	—
1011	C₄×Q₈	C₂³×C₃	1	4	yes	—
1012	C₄×Q₈	C₂³×C₃	1	4	yes	—
1013	C₄×Q₈	C₂³×C₃	1	4	yes	—
1014	C₄×Q₈	C₂³×C₃	1	4	yes	—
1015	C₄×D₄	C₂³×C₃	1	2	yes	—
1016	C₄×D₄	C₂³×C₃	1	2	yes	—
1017	C₄×D₄	C₂³×C₃	1	2	yes	—
1018	C₄×D₄	C₂³×C₃	1	2	yes	—
1019	C₄×D₄	C₂³×C₃	1	4	yes	—
1020	C₄×D₄	C₂³×C₃	1	4	yes	—
1021	C₄×D₄	C₂³×C₃	1	4	yes	—
1022	C₄×D₄	C₂³×C₃	1	4	yes	—
1023	C₄×D₄	C₂³×C₃	1	4	yes	—
1024	C₄×D₄	C₂³×C₃	1	4	yes	—
1025	C₄×D₄	C₂³×C₃	1	4	yes	—
1026	C₄×D₄	C₂³×C₃	1	2	yes	—
1027	C₄×D₄	C₂³×C₃	1	4	yes	—
1028	C₄×D₄	C₂³×C₃	1	4	yes	—
1029	C₄×D₄	C₂³×C₃	1	2	yes	—
1030	C₄×D₄	C₂³×C₃	1	4	yes	—
1031	C₄×D₄	C₂³×C₃	1	8	yes	—
1032	C₄×D₄	C₂³×C₃	1	4	yes	—
1033	C₄×D₄	C₂³×C₃	1	8	yes	—
1034	C₄×D₄	C₂³×C₃	1	4	yes	—
1035	C₄×D₄	C₂³×C₃	1	4	yes	—
1036	C₄×D₄	C₂³×C₃	1	4	yes	—
1037	C₄×D₄	C₂³×C₃	1	8	yes	—
1038	C₄×D₄	C₂³×C₃	1	8	yes	—
1039	C₄×D₄	C₂³×C₃	1	8	yes	—
1040	C₄×D₄	C₂³×C₃	1	4	yes	—
1041	C₄×D₄	C₂³×C₃	1	4	yes	—
1042	C₄×D₄	C₂³×C₃	1	4	yes	—
1043	C₄×D₄	C₂³×C₃	1	4	yes	—
1044	C₄×D₄	C₂³×C₃	1	4	yes	—
1045	C₄×D₄	C₂³×C₃	1	4	yes	—
1046	C₄×D₄	C₂³×C₃	1	8	yes	—
1047	C₄×D₄	C₂³×C₃	1	8	yes	—
1048	C₄×D₄	C₂³×C₃	1	8	yes	—
1049	C₄×D₄	C₂³×C₃	1	8	yes	—
1050	C₄×D₄	C₂³×C₃	1	8	yes	—
1051	C₄×D₄	C₂³×C₃	1	8	yes	—
1052	#117	C₂³×C₃	1	4	yes	—
1053	#117	C₂³×C₃	1	4	yes	—
1054	#117	C₂³×C₃	1	4	yes	—
1055	#117	C₂³×C₃	1	4	yes	—
1056	#117	C₂³×C₃	1	4	yes	—
1057	#117	C₂³×C₃	1	4	yes	—
1058	#117	C₂³×C₃	1	2	yes	—
1059	#117	C₂³×C₃	1	4	yes	—
1060	#117	C₂³×C₃	1	4	yes	—
1061	#117	C₂³×C₃	1	4	yes	—
1062	#117	C₂³×C₃	1	4	yes	—
1063	#117	C₂³×C₃	1	8	yes	—
1064	#117	C₂³×C₃	1	8	yes	—
1065	#117	C₂³×C₃	1	8	yes	—
1066	#117	C₂³×C₃	1	8	yes	—
1067	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1070	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1071	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1072	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1074	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1075	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1077	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1078	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1079	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1080	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1081	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1082	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1083	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1084	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1085	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1087	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1088	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1090	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1091	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1092	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1093	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1094	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1095	C₂×C₄²	C₂³×C₃	1	2	yes	—
1096	C₂×C₄²	C₂³×C₃	1	2	yes	—
1097	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1098	C₂×C₄²	C₂³×C₃	1	4	yes	—
1099	C₂³×C₃	—	2	2	no	—
1100	C₂³×C₃	—	2	2	no	—
1101	C₂³×C₃	—	2	2	no	—
1102	C₂³×C₃	—	2	8	no	—
1103	C₂³×C₃	—	4	1	no	—
1104	C₂³×C₃	—	4	4	no	—
1105	C₂³×C₃	—	4	4	no	—
1106	C₂³×C₃	—	4	1	no	—
1107	C₂³×C₃	—	4	4	no	—
1108	C₂³×C₃	—	4	1	no	—
1109	C₂³×C₃	—	4	4	no	—
1110	C₂³×C₃	—	4	4	no	—
1111	C₂³×C₃	C₂⁵	1	2	yes	—
1112	C₂³×C₃	C₂⁵	1	4	yes	—
1113	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1114	C₂³×C₃	C₂⁵	1	4	yes	—
1115	C₂³×C₃	C₂⁵	1	4	yes	—
1116	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1117	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1118	C₃×Q₈	—	2	8	no	—
1119	C₃×Q₈	—	2	4	no	—
1120	C₃×Q₈	—	2	4	no	—
1121	C₃×Q₈	—	2	4	no	—
1122	C₃×Q₈	—	4	8	no	—
1123	C₃×Q₈	—	4	4	no	—
1124	C₃×Q₈	—	4	4	no	—
1125	C₃×Q₈	—	4	4	no	—
1126	C₃×D₄	—	2	8	no	—
1127	C₃×D₄	—	2	8	no	—
1128	C₃×D₄	—	2	8	no	—
1129	C₃×D₄	—	2	4	no	—
1130	C₃×D₄	—	2	8	no	—
1131	C₃×D₄	—	2	4	no	—
1132	C₃×D₄	—	2	4	no	—
1133	C₃×D₄	—	2	4	no	—
1134	C₃×D₄	—	4	8	no	—
1135	C₃×D₄	—	4	4	no	—
1136	C₃×D₄	—	4	4	no	—
1137	C₃×D₄	—	4	2	no	—
1138	C₃×D₄	—	4	4	no	—
1139	C₃×D₄	—	4	4	no	—
1140	C₃×D₄	—	4	4	no	—
1141	C₃×D₄	—	4	4	no	—
1142	C₃×D₄	—	4	4	no	—
1143	C₃×D₄	—	4	4	no	—
1144	C₃×D₄	—	4	4	no	—
1145	C₃×D₄	—	4	4	no	—
1146	C₃×D₄	—	4	4	no	—
1147	C₃×D₄	—	4	8	no	—
1148	C₃×D₄	—	4	4	no	—
1149	C₃×D₄	—	4	4	no	—
1150	C₃×D₄	—	4	4	no	—
1151	C₃×D₄	—	4	8	no	—
1152	C₂×C₃×C₄	—	2	2	no	—
1153	C₂×C₃×C₄	—	2	2	no	—
1154	C₂×C₃×C₄	—	2	4	no	—
1155	C₂×C₃×C₄	—	2	8	no	—
1156	C₂×C₃×C₄	—	2	4	no	—
1157	C₂×C₃×C₄	—	2	4	no	—
1158	C₂×C₃×C₄	—	2	4	no	—
1159	C₂×C₃×C₄	—	2	4	no	—
1160	C₂×C₃×C₄	—	2	8	no	—
1161	C₂×C₃×C₄	—	2	8	no	—
1162	C₂×C₃×C₄	—	2	8	no	—
1163	C₂×C₃×C₄	—	4	2	no	—
1164	C₂×C₃×C₄	—	4	4	no	—
1165	C₂×C₃×C₄	—	4	2	no	—
1166	C₂×C₃×C₄	—	4	4	no	—
1167	C₂×C₃×C₄	—	4	4	no	—
1168	C₂×C₃×C₄	—	4	4	no	—
1169	C₂×C₃×C₄	—	4	4	no	—
1170	C₂×C₃×C₄	—	4	4	no	—
1171	C₂×C₃×C₄	—	4	4	no	—
1172	C₂×C₃×C₄	—	4	4	no	—
1173	C₂×C₃×C₄	—	4	1	no	—
1174	C₂×C₃×C₄	—	4	2	no	—
1175	C₂×C₃×C₄	—	4	8	no	—
1176	C₂×C₃×C₄	—	4	1	no	—
1177	C₂×C₃×C₄	—	4	4	no	—
1178	C₂×C₃×C₄	—	4	8	no	—
1179	C₂×C₃×C₄	—	4	8	no	—
1180	C₂×C₃×C₄	—	4	8	no	—
1181	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	—
1182	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1183	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1184	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1185	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1186	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1187	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1188	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1189	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1190	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1191	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1192	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1193	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1194	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1195	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1196	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1197	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1198	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1199	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1200	C₂⁴	C₂⁴×C₃	1	4	yes	—
1201	C₂⁴	C₂⁴×C₃	1	4	yes	—
1202	#41	—	2	8	no	—
1203	#41	—	2	8	no	—
1204	#41	—	2	8	no	—
1205	#41	—	4	8	no	—
1206	#41	—	4	8	no	—
1207	#41	—	4	8	no	—
1208	#41	—	4	8	no	—
1209	#41	—	4	16	no	—
1210	#41	—	4	8	no	—
1211	#41	—	4	4	no	—
1212	#41	—	4	4	no	—
1213	#41	—	4	4	no	—
1214	#41	—	4	4	no	—
1215	#41	—	4	8	no	—
1216	#41	—	4	8	no	—
1217	C₂×Q₈	—	2	4	no	—
1218	C₂×Q₈	—	4	4	no	—
1219	C₂×Q₈	—	4	4	no	—
1220	C₂×Q₈	—	4	8	no	—
1221	C₂×Q₈	—	4	8	no	—
1222	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1223	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1224	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1225	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1226	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1227	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1228	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1229	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1230	C₂×D₄	—	4	4	no	—
1231	C₂×D₄	—	4	4	no	—
1232	C₂×D₄	—	4	8	no	—
1233	C₂×D₄	—	4	8	no	—
1234	C₂×D₄	—	4	8	no	—
1235	C₂×D₄	—	4	2	no	—
1236	C₂×D₄	—	4	8	no	—
1237	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1238	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1239	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1240	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1241	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1242	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1243	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1244	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1245	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1246	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1247	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1248	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1249	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1250	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1251	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1252	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1253	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1254	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1255	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1256	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1257	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1258	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1259	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1260	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1261	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1262	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1263	C₂²×C₄	—	2	4	no	—
1264	C₂²×C₄	—	2	4	no	—
1265	C₂²×C₄	—	4	8	no	—
1266	C₂²×C₄	—	4	8	no	—
1267	C₂²×C₄	—	4	4	no	—
1268	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1270	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1271	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1272	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1274	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1275	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1276	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1277	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1278	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1279	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1280	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1281	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1282	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1283	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1285	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1286	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1287	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1288	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1289	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1290	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1291	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1292	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1293	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1294	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1295	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1296	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1297	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1298	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1299	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1300	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1301	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1302	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1303	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1304	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1305	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1306	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1307	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1308	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1309	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1310	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1311	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1312	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1313	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1314	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1315	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1316	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1318	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1319	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1320	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1321	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1322	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1323	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1324	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1325	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1326	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1327	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1328	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1329	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1330	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1331	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1332	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1333	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1334	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1335	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1336	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1337	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1338	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1339	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1340	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1341	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1342	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1343	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1344	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1345	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1346	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1347	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1348	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1349	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1350	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1351	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1352	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1353	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1354	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1356	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1357	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1358	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1359	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1360	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1361	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1362	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1363	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1364	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1365	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1366	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1367	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1368	C₄²	C₂⁴×C₃	1	2	yes	—
1369	C₄²	C₂⁴×C₃	1	4	yes	—
1370	C₄²	C₂⁴×C₃	1	4	yes	—
1371	C₄²	C₂⁴×C₃	1	4	yes	—
1372	C₄²	C₂⁴×C₃	1	4	yes	—
1373	C₄²	C₂⁴×C₃	1	4	yes	—
1374	C₄²	C₂⁴×C₃	1	2	yes	—
1375	C₄²	C₂⁴×C₃	1	4	yes	—
1376	C₄²	C₂⁴×C₃	1	4	yes	—
1377	C₄²	C₂⁴×C₃	1	8	yes	—
1378	C₄²	C₂⁴×C₃	1	8	yes	—
1379	C₂²×C₃	—	2	1	no	—
1380	C₂²×C₃	—	2	1	no	—
1381	C₂²×C₃	—	2	1	no	—
1382	C₂²×C₃	—	2	1	no	—
1383	C₂²×C₃	—	2	2	no	—
1384	C₂²×C₃	—	2	1	no	—
1385	C₂²×C₃	—	2	4	no	—
1386	C₂²×C₃	—	2	4	no	—
1387	C₂²×C₃	—	2	4	no	—
1388	C₂²×C₃	—	2	1	no	—
1389	C₂²×C₃	—	2	4	no	—
1390	C₂²×C₃	—	2	4	no	—
1391	C₂²×C₃	—	2	2	no	—
1392	C₂²×C₃	—	2	4	no	—
1393	C₂²×C₃	—	2	4	no	—
1394	C₂²×C₃	—	2	4	no	—
1395	C₂²×C₃	—	2	1	no	—
1396	C₂²×C₃	—	2	4	no	—
1397	C₂²×C₃	—	2	2	no	—
1398	C₂²×C₃	—	4	4	no	—
1399	C₂²×C₃	—	8	8	no	—
1400	C₂²×C₃	—	8	2	no	—
1401	C₂²×C₃	—	8	8	no	—
1402	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1403	C₂²×C₃	#585	1	2	yes	—
1404	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1405	C₃×C₄	—	2	1	no	—
1406	C₃×C₄	—	2	2	no	—
1407	C₃×C₄	—	2	1	no	—
1408	C₃×C₄	—	2	4	no	—
1409	C₃×C₄	—	2	4	no	—
1410	C₃×C₄	—	2	4	no	—
1411	C₃×C₄	—	2	4	no	—
1412	C₃×C₄	—	2	4	no	—
1413	C₃×C₄	—	2	4	no	—
1414	C₃×C₄	—	2	2	no	—
1415	C₃×C₄	—	2	4	no	—
1416	C₃×C₄	—	2	1	no	—
1417	C₃×C₄	—	2	4	no	—
1418	C₃×C₄	—	2	4	no	—
1419	C₃×C₄	—	2	1	no	—
1420	C₃×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1421	C₂³	—	2	2	no	—
1422	C₂³	—	2	2	no	—
1423	C₂³	—	2	2	no	—
1424	C₂³	—	2	8	no	—
1425	C₂³	—	4	1	no	—
1426	C₂³	—	4	4	no	—
1427	C₂³	—	4	4	no	—
1428	C₂³	—	4	1	no	—
1429	C₂³	—	4	4	no	—
1430	C₂³	—	4	1	no	—
1431	C₂³	—	4	4	no	—
1432	C₂³	—	4	4	no	—
1433	C₂³	C₂⁵×C₃	1	2	yes	—
1434	C₂³	C₂⁵×C₃	1	4	yes	—
1435	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1436	C₂³	C₂⁵×C₃	1	4	yes	—
1437	C₂³	C₂⁵×C₃	1	4	yes	—
1438	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1439	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1440	Q₈	—	2	8	no	—
1441	Q₈	—	2	4	no	—
1442	Q₈	—	2	4	no	—
1443	Q₈	—	2	4	no	—
1444	Q₈	—	4	8	no	—
1445	Q₈	—	4	4	no	—
1446	Q₈	—	4	4	no	—
1447	Q₈	—	4	4	no	—
1448	D₄	—	2	8	no	—
1449	D₄	—	2	8	no	—
1450	D₄	—	2	8	no	—
1451	D₄	—	2	4	no	—
1452	D₄	—	2	8	no	—
1453	D₄	—	2	4	no	—
1454	D₄	—	2	4	no	—
1455	D₄	—	2	4	no	—
1456	D₄	—	4	4	no	—
1457	D₄	—	4	4	no	—
1458	D₄	—	4	4	no	—
1459	D₄	—	4	4	no	—
1460	D₄	—	4	4	no	—
1461	D₄	—	4	4	no	—
1462	D₄	—	4	8	no	—
1463	D₄	—	4	4	no	—
1464	D₄	—	4	4	no	—
1465	D₄	—	4	2	no	—
1466	D₄	—	4	4	no	—
1467	D₄	—	4	4	no	—
1468	D₄	—	4	8	no	—
1469	D₄	—	4	4	no	—
1470	D₄	—	4	4	no	—
1471	D₄	—	4	8	no	—
1472	D₄	—	4	4	no	—
1473	D₄	—	4	4	no	—
1474	C₂×C₄	—	2	2	no	—
1475	C₂×C₄	—	2	2	no	—
1476	C₂×C₄	—	2	4	no	—
1477	C₂×C₄	—	2	8	no	—
1478	C₂×C₄	—	2	4	no	—
1479	C₂×C₄	—	2	4	no	—
1480	C₂×C₄	—	2	4	no	—
1481	C₂×C₄	—	2	4	no	—
1482	C₂×C₄	—	2	8	no	—
1483	C₂×C₄	—	2	8	no	—
1484	C₂×C₄	—	2	8	no	—
1485	C₂×C₄	—	4	4	no	—
1486	C₂×C₄	—	4	4	no	—
1487	C₂×C₄	—	4	4	no	—
1488	C₂×C₄	—	4	4	no	—
1489	C₂×C₄	—	4	4	no	—
1490	C₂×C₄	—	4	4	no	—
1491	C₂×C₄	—	4	2	no	—
1492	C₂×C₄	—	4	4	no	—
1493	C₂×C₄	—	4	2	no	—
1494	C₂×C₄	—	4	1	no	—
1495	C₂×C₄	—	4	4	no	—
1496	C₂×C₄	—	4	8	no	—
1497	C₂×C₄	—	4	8	no	—
1498	C₂×C₄	—	4	8	no	—
1499	C₂×C₄	—	4	4	no	—
1500	C₂×C₄	—	4	1	no	—
1501	C₂×C₄	—	4	2	no	—
1502	C₂×C₄	—	4	8	no	—
1503	C₂×C₄	C₃×H(5,𝔽₂)	1	4	yes	—
1504	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1505	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1506	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1507	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1508	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1509	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1510	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1511	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1512	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1513	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1514	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1515	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1516	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1517	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1518	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1519	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1520	C₂×C₃	—	2	2	no	—
1521	C₂×C₃	—	2	2	no	—
1522	C₂×C₃	—	4	1	no	—
1523	C₂×C₃	—	4	4	no	—
1524	C₂×C₃	—	4	4	no	—
1525	C₂×C₃	—	4	4	no	—
1526	C₂×C₃	—	4	2	no	—
1527	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1528	C₂×C₃	C₂×#585	1	1	yes	characteristic
1529	C₂×C₃	2₋¹⁺⁶	1	1	yes	characteristic
1530	C₂²	—	2	1	no	—
1531	C₂²	—	2	1	no	—
1532	C₂²	—	2	1	no	—
1533	C₂²	—	2	1	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	1	no	—
1536	C₂²	—	2	4	no	—
1537	C₂²	—	2	4	no	—
1538	C₂²	—	2	4	no	—
1539	C₂²	—	2	1	no	—
1540	C₂²	—	2	4	no	—
1541	C₂²	—	2	4	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	4	no	—
1544	C₂²	—	2	4	no	—
1545	C₂²	—	2	4	no	—
1546	C₂²	—	2	1	no	—
1547	C₂²	—	2	4	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	4	4	no	—
1550	C₂²	—	8	8	no	—
1551	C₂²	—	8	2	no	—
1552	C₂²	—	8	8	no	—
1553	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1554	C₂²	C₃×#585	1	2	yes	—
1555	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1556	C₄	—	2	1	no	—
1557	C₄	—	2	2	no	—
1558	C₄	—	2	1	no	—
1559	C₄	—	2	4	no	—
1560	C₄	—	2	4	no	—
1561	C₄	—	2	4	no	—
1562	C₄	—	2	4	no	—
1563	C₄	—	2	4	no	—
1564	C₄	—	2	4	no	—
1565	C₄	—	2	2	no	—
1566	C₄	—	2	4	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	4	no	—
1569	C₄	—	2	4	no	—
1570	C₄	—	2	1	no	—
1571	C₄	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1572	C₃	#62927	1	1	yes	characteristic, direct product factor, Sylow
1573	C₂	—	2	2	no	—
1574	C₂	—	2	2	no	—
1575	C₂	—	4	1	no	—
1576	C₂	—	4	2	no	—
1577	C₂	—	4	4	no	—
1578	C₂	—	4	4	no	—
1579	C₂	—	4	4	no	—
1580	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1581	C₂	C₂×C₃×#585	1	1	yes	characteristic
1582	C₂	C₃×2₋¹⁺⁶	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×#3560	C₂	semidirect
2. C₃×#3559	C₂	semidirect
3. C₃×#3551	C₂	semidirect
4. C₃×#3547	C₂	semidirect
5. C₃×#3542	C₂	semidirect
6. C₃×#3541	C₂	semidirect
7. C₃×#3539	C₂	semidirect
8. C₃×#3538	C₂	semidirect
9. C₃×#3534	C₂	semidirect
10. C₃×#3520	C₂	semidirect
11. C₃×#3512	C₂	semidirect
12. C₃×#3505	C₂	semidirect
13. C₃×#3497	C₂	semidirect
14. C₃×#3494	C₂	semidirect
15. C₃×#3493	C₂	semidirect
16. C₃×#3492	C₂	semidirect
17. C₃×#3489	C₂	semidirect
18. C₃×#3489	C₂	semidirect
19. C₂×C₃×#552	C₂	semidirect
20. C₃×D₄×#41	C₂	semidirect
21. C₃×#3461	C₂	semidirect
22. C₃×#3449	C₂	semidirect
23. C₂×C₃×#537	C₂	semidirect
24. #62927	C₃	direct (N × H)
25. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
26. C₂²×C₃×#41	C₂²	semidirect
27. C₂²×C₃×#41	C₂²	semidirect
28. C₃×#563	C₂²	semidirect
29. C₃×#563	C₂²	semidirect
30. C₃×#562	C₂²	semidirect
31. C₃×#562	C₂²	semidirect
32. C₃×#560	C₂²	semidirect
33. C₃×#560	C₂²	semidirect
34. C₃×#556	C₂²	semidirect
35. C₃×#555	C₂²	semidirect
36. C₃×#555	C₂²	semidirect
37. C₃×#554	C₂²	semidirect
38. C₃×#554	C₂²	semidirect
39. C₃×#553	C₂²	semidirect
40. C₃×#553	C₂²	semidirect
41. C₃×#553	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×#552	C₂²	semidirect
49. C₃×#552	C₂²	semidirect
50. C₃×#552	C₂²	semidirect
51. C₃×#552	C₂²	semidirect
52. C₃×#552	C₂²	semidirect
53. C₃×#552	C₂²	semidirect
54. C₃×#552	C₂²	semidirect
55. C₃×#552	C₂²	semidirect
56. C₃×#551	C₂²	semidirect
57. C₃×#551	C₂²	semidirect
58. C₃×#551	C₂²	semidirect
59. C₃×#551	C₂²	semidirect
60. C₃×#550	C₂²	semidirect
61. C₃×#550	C₂²	semidirect
62. C₃×D₄×Q₈	C₂²	semidirect
63. C₃×D₄×Q₈	C₂²	semidirect
64. C₃×D₄×Q₈	C₂²	semidirect
65. C₃×D₄×Q₈	C₂²	semidirect
67. C₃×#548	C₂²	semidirect
68. C₃×#548	C₂²	semidirect
69. C₃×#548	C₂²	semidirect
70. C₃×#548	C₂²	semidirect
71. C₃×#548	C₂²	semidirect
72. C₃×#547	C₂²	semidirect
73. C₃×#547	C₂²	semidirect
74. C₃×#547	C₂²	semidirect
75. C₃×#547	C₂²	semidirect
76. C₃×#547	C₂²	semidirect
77. C₃×#547	C₂²	semidirect
78. C₃×#547	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×#546	C₂²	semidirect
87. C₃×#546	C₂²	semidirect
89. C₃×D₄²	C₂²	semidirect
90. C₃×#544	C₂²	semidirect
91. C₃×#544	C₂²	semidirect
92. C₃×#544	C₂²	semidirect
93. C₃×#542	C₂²	semidirect
94. C₃×#542	C₂²	semidirect
95. C₃×#542	C₂²	semidirect
96. C₃×#542	C₂²	semidirect
97. C₃×#541	C₂²	semidirect
98. C₃×#541	C₂²	semidirect
99. C₃×#540	C₂²	semidirect
100. C₃×#540	C₂²	semidirect
101. C₃×#540	C₂²	semidirect
102. C₃×#540	C₂²	semidirect
103. C₃×#540	C₂²	semidirect
104. C₃×#539	C₂²	semidirect
105. C₃×#539	C₂²	semidirect
106. C₃×#539	C₂²	semidirect
107. C₃×#539	C₂²	semidirect
108. C₃×#539	C₂²	semidirect
109. C₃×#539	C₂²	semidirect
110. C₃×#538	C₂²	semidirect
111. C₃×#538	C₂²	semidirect
112. C₃×#538	C₂²	semidirect
113. C₃×#538	C₂²	semidirect
115. C₃×#537	C₂²	semidirect
116. C₃×#537	C₂²	semidirect
117. C₃×#537	C₂²	semidirect
118. C₃×#537	C₂²	semidirect
119. C₃×#537	C₂²	semidirect
120. C₃×#537	C₂²	semidirect
121. C₃×#537	C₂²	semidirect
122. C₃×#537	C₂²	semidirect
123. C₃×#537	C₂²	semidirect
124. C₃×#537	C₂²	semidirect
125. C₃×#536	C₂²	semidirect
126. C₃×#536	C₂²	semidirect
127. C₃×#536	C₂²	semidirect
128. C₃×#536	C₂²	semidirect
129. C₃×#535	C₂²	semidirect
130. C₃×#535	C₂²	semidirect
131. C₃×#534	C₂²	semidirect
132. C₃×#534	C₂²	semidirect
133. C₃×#533	C₂²	semidirect
134. C₃×#532	C₂²	semidirect
135. C₃×#532	C₂²	semidirect
136. C₃×#532	C₂²	semidirect
137. C₃×#532	C₂²	semidirect
138. C₃×#529	C₂²	semidirect
139. C₃×#529	C₂²	semidirect
140. C₃×#529	C₂²	semidirect
141. C₃×#529	C₂²	semidirect
142. C₃×#529	C₂²	semidirect
143. C₂×C₃×#126	C₂²	semidirect
144. C₂×C₃×#125	C₂²	semidirect
145. C₂×C₃×#125	C₂²	semidirect
147. C₃×#525	C₂²	semidirect
148. C₃×#525	C₂²	semidirect
149. C₃×#525	C₂²	semidirect
150. C₃×#525	C₂²	semidirect
151. C₃×#525	C₂²	semidirect
152. C₃×#525	C₂²	semidirect
153. C₃×#525	C₂²	semidirect
154. C₃×#525	C₂²	semidirect
156. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
157. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
158. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
159. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
160. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
161. C₂×C₃×#121	C₂²	semidirect
162. C₂×C₃×#121	C₂²	semidirect
163. C₃×#520	C₂²	semidirect
164. C₃×#520	C₂²	semidirect
165. C₃×#520	C₂²	semidirect
166. C₃×#518	C₂²	semidirect
167. C₃×C₄×#41	C₂²	semidirect
168. C₂×C₃×C₄×Q₈	C₂²	semidirect
170. C₂×C₃×C₄×D₄	C₂²	semidirect
171. C₂×C₃×#117	C₂²	semidirect
172. C₂×C₃×#117	C₂²	semidirect
173. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
174. #3560	C₂×C₃	semidirect
175. #3559	C₂×C₃	semidirect
176. #3551	C₂×C₃	semidirect
177. #3547	C₂×C₃	semidirect
178. #3542	C₂×C₃	semidirect
179. #3541	C₂×C₃	semidirect
180. #3539	C₂×C₃	semidirect
181. #3538	C₂×C₃	semidirect
182. #3534	C₂×C₃	semidirect
183. #3520	C₂×C₃	semidirect
184. #3512	C₂×C₃	semidirect
185. #3505	C₂×C₃	semidirect
186. #3497	C₂×C₃	semidirect
187. #3494	C₂×C₃	semidirect
188. #3493	C₂×C₃	semidirect
189. #3492	C₂×C₃	semidirect
190. #3489	C₂×C₃	semidirect
191. #3489	C₂×C₃	semidirect
192. C₂×#552	C₂×C₃	semidirect
193. D₄×#41	C₂×C₃	semidirect
194. #3461	C₂×C₃	semidirect
195. #3449	C₂×C₃	semidirect
196. C₂×#537	C₂×C₃	semidirect
483. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
484. C₂²×#41	C₂²×C₃	semidirect
485. C₂²×#41	C₂²×C₃	semidirect
486. #563	C₂²×C₃	semidirect
487. #563	C₂²×C₃	semidirect
488. #562	C₂²×C₃	semidirect
489. #562	C₂²×C₃	semidirect
490. #560	C₂²×C₃	semidirect
491. #560	C₂²×C₃	semidirect
492. #556	C₂²×C₃	semidirect
493. #555	C₂²×C₃	semidirect
494. #555	C₂²×C₃	semidirect
495. #554	C₂²×C₃	semidirect
496. #554	C₂²×C₃	semidirect
497. #553	C₂²×C₃	semidirect
498. #553	C₂²×C₃	semidirect
499. #553	C₂²×C₃	semidirect
500. #553	C₂²×C₃	semidirect
501. #553	C₂²×C₃	semidirect
502. #553	C₂²×C₃	semidirect
503. #553	C₂²×C₃	semidirect
504. #553	C₂²×C₃	semidirect
505. #553	C₂²×C₃	semidirect
506. #552	C₂²×C₃	semidirect
507. #552	C₂²×C₃	semidirect
508. #552	C₂²×C₃	semidirect
509. #552	C₂²×C₃	semidirect
510. #552	C₂²×C₃	semidirect
511. #552	C₂²×C₃	semidirect
512. #552	C₂²×C₃	semidirect
513. #552	C₂²×C₃	semidirect
514. #551	C₂²×C₃	semidirect
515. #551	C₂²×C₃	semidirect
516. #551	C₂²×C₃	semidirect
517. #551	C₂²×C₃	semidirect
518. #550	C₂²×C₃	semidirect
519. #550	C₂²×C₃	semidirect
520. D₄×Q₈	C₂²×C₃	semidirect
521. D₄×Q₈	C₂²×C₃	semidirect
522. D₄×Q₈	C₂²×C₃	semidirect
523. D₄×Q₈	C₂²×C₃	semidirect
525. #548	C₂²×C₃	semidirect
526. #548	C₂²×C₃	semidirect
527. #548	C₂²×C₃	semidirect
528. #548	C₂²×C₃	semidirect
529. #548	C₂²×C₃	semidirect
530. #547	C₂²×C₃	semidirect
531. #547	C₂²×C₃	semidirect
532. #547	C₂²×C₃	semidirect
533. #547	C₂²×C₃	semidirect
534. #547	C₂²×C₃	semidirect
535. #547	C₂²×C₃	semidirect
536. #547	C₂²×C₃	semidirect
538. #546	C₂²×C₃	semidirect
539. #546	C₂²×C₃	semidirect
540. #546	C₂²×C₃	semidirect
541. #546	C₂²×C₃	semidirect
542. #546	C₂²×C₃	semidirect
543. #546	C₂²×C₃	semidirect
544. #546	C₂²×C₃	semidirect
545. #546	C₂²×C₃	semidirect
547. D₄²	C₂²×C₃	semidirect
548. #544	C₂²×C₃	semidirect
549. #544	C₂²×C₃	semidirect
550. #544	C₂²×C₃	semidirect
551. #542	C₂²×C₃	semidirect
552. #542	C₂²×C₃	semidirect
553. #542	C₂²×C₃	semidirect
554. #542	C₂²×C₃	semidirect
555. #541	C₂²×C₃	semidirect
556. #541	C₂²×C₃	semidirect
557. #540	C₂²×C₃	semidirect
558. #540	C₂²×C₃	semidirect
559. #540	C₂²×C₃	semidirect
560. #540	C₂²×C₃	semidirect
561. #540	C₂²×C₃	semidirect
562. #539	C₂²×C₃	semidirect
563. #539	C₂²×C₃	semidirect
564. #539	C₂²×C₃	semidirect
565. #539	C₂²×C₃	semidirect
566. #539	C₂²×C₃	semidirect
567. #539	C₂²×C₃	semidirect
568. #538	C₂²×C₃	semidirect
569. #538	C₂²×C₃	semidirect
570. #538	C₂²×C₃	semidirect
571. #538	C₂²×C₃	semidirect
573. #537	C₂²×C₃	semidirect
574. #537	C₂²×C₃	semidirect
575. #537	C₂²×C₃	semidirect
576. #537	C₂²×C₃	semidirect
577. #537	C₂²×C₃	semidirect
578. #537	C₂²×C₃	semidirect
579. #537	C₂²×C₃	semidirect
580. #537	C₂²×C₃	semidirect
581. #537	C₂²×C₃	semidirect
582. #537	C₂²×C₃	semidirect
583. #536	C₂²×C₃	semidirect
584. #536	C₂²×C₃	semidirect
585. #536	C₂²×C₃	semidirect
586. #536	C₂²×C₃	semidirect
587. #535	C₂²×C₃	semidirect
588. #535	C₂²×C₃	semidirect
589. #534	C₂²×C₃	semidirect
590. #534	C₂²×C₃	semidirect
591. #533	C₂²×C₃	semidirect
592. #532	C₂²×C₃	semidirect
593. #532	C₂²×C₃	semidirect
594. #532	C₂²×C₃	semidirect
595. #532	C₂²×C₃	semidirect
596. #529	C₂²×C₃	semidirect
597. #529	C₂²×C₃	semidirect
598. #529	C₂²×C₃	semidirect
599. #529	C₂²×C₃	semidirect
600. #529	C₂²×C₃	semidirect
601. C₂×#126	C₂²×C₃	semidirect
602. C₂×#125	C₂²×C₃	semidirect
603. C₂×#125	C₂²×C₃	semidirect
605. #525	C₂²×C₃	semidirect
606. #525	C₂²×C₃	semidirect
607. #525	C₂²×C₃	semidirect
608. #525	C₂²×C₃	semidirect
609. #525	C₂²×C₃	semidirect
610. #525	C₂²×C₃	semidirect
611. #525	C₂²×C₃	semidirect
612. #525	C₂²×C₃	semidirect
614. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
615. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
616. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
617. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
618. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
619. C₂×#121	C₂²×C₃	semidirect
620. C₂×#121	C₂²×C₃	semidirect
621. #520	C₂²×C₃	semidirect
622. #520	C₂²×C₃	semidirect
623. #520	C₂²×C₃	semidirect
624. #518	C₂²×C₃	semidirect
625. C₄×#41	C₂²×C₃	semidirect
626. C₂×C₄×Q₈	C₂²×C₃	semidirect
628. C₂×C₄×D₄	C₂²×C₃	semidirect
629. C₂×#117	C₂²×C₃	semidirect
630. C₂×#117	C₂²×C₃	semidirect
631. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
1572. C₃	#62927	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×#3560	2
C₃×#3559	2
C₃×#3551	2
C₃×#3547	2
C₃×#3542	2
C₃×#3541	2
C₃×#3539	2
C₃×#3538	2
C₃×#3534	2
C₃×#3520	2
C₃×#3512	2
C₃×#3505	2
C₃×#3497	2
C₃×#3494	2
C₃×#3493	2
C₃×#3492	2
C₃×#3489	2
C₂×C₃×#552	2
C₃×D₄×#41	2
C₃×#3461	2
C₃×#3449	2
C₂×C₃×#537	2
#62927	3

Subgroups — C3×#62927 #10681534

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62927 #10681534