Subgroups — C₃×#62957 #10681564

Order 768.

7324 conjugacy classes of subgroups.

The subgroup lattice has 1630 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×#3551	C₂	1	4	yes	maximal, complemented
3	C₃×#3546	C₂	1	4	yes	maximal, complemented
4	C₃×#3542	C₂	1	4	yes	maximal, complemented
5	C₃×#3541	C₂	1	4	yes	maximal, complemented
6	C₃×#3539	C₂	1	4	yes	maximal, complemented
7	C₃×#3537	C₂	1	4	yes	maximal, complemented
8	C₃×#3537	C₂	1	4	yes	maximal, complemented
9	C₃×#3534	C₂	1	4	yes	maximal, complemented
10	C₃×#3519	C₂	1	4	yes	maximal, complemented
11	C₃×#3519	C₂	1	4	yes	maximal, complemented
12	C₃×#3512	C₂	1	2	yes	maximal, complemented
13	C₃×#3505	C₂	1	4	yes	maximal, complemented
14	C₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3488	C₂	1	2	yes	maximal, complemented
18	C₃×#3488	C₂	1	2	yes	maximal, complemented
19	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×D₄×#41	C₂	1	2	yes	maximal, complemented
21	C₃×#3460	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	#62957	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂×C₃×H(5,𝔽₂)	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×#562	C₂²	1	8	yes	complemented
30	C₃×#560	C₂²	1	8	yes	complemented
31	C₃×#560	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	4	yes	complemented
37	C₃×#554	C₂²	1	4	yes	complemented
38	C₃×#554	C₂²	1	4	yes	complemented
39	C₃×#553	C₂²	1	4	yes	complemented
40	C₃×#553	C₂²	1	4	yes	complemented
41	C₃×#553	C₂²	1	4	yes	complemented
42	C₃×#553	C₂²	1	4	yes	complemented
43	C₃×#553	C₂²	1	4	yes	complemented
44	C₃×#553	C₂²	1	4	yes	complemented
45	C₃×#553	C₂²	1	4	yes	complemented
46	C₃×#553	C₂²	1	8	yes	complemented
47	C₃×#553	C₂²	1	8	yes	complemented
48	C₃×#553	C₂²	1	4	yes	complemented
49	C₃×#553	C₂²	1	4	yes	complemented
50	C₃×#553	C₂²	1	8	yes	complemented
51	C₃×#553	C₂²	1	4	yes	complemented
52	C₃×#553	C₂²	1	8	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×#552	C₂²	1	4	yes	complemented
57	C₃×#551	C₂²	1	8	yes	complemented
58	C₃×#551	C₂²	1	8	yes	complemented
59	C₃×#550	C₂²	1	2	yes	complemented
60	C₃×#550	C₂²	1	4	yes	complemented
61	C₃×#550	C₂²	1	4	yes	complemented
62	C₃×#550	C₂²	1	4	yes	complemented
63	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
64	C₃×#548	C₂²	1	2	yes	complemented
65	C₃×#548	C₂²	1	2	yes	complemented
66	C₃×#548	C₂²	1	4	yes	complemented
67	C₃×#548	C₂²	1	4	yes	complemented
68	C₃×#547	C₂²	1	2	yes	complemented
69	C₃×#547	C₂²	1	4	yes	complemented
70	C₃×#547	C₂²	1	4	yes	complemented
71	C₃×#547	C₂²	1	4	yes	complemented
72	C₃×#546	C₂²	1	4	yes	complemented
73	C₃×#546	C₂²	1	2	yes	complemented
74	C₃×#546	C₂²	1	4	yes	complemented
75	C₃×#546	C₂²	1	2	yes	complemented
76	C₃×#546	C₂²	1	4	yes	complemented
77	C₃×#546	C₂²	1	8	yes	complemented
78	C₃×#546	C₂²	1	8	yes	complemented
79	C₃×#546	C₂²	1	4	yes	complemented
80	C₃×#546	C₂²	1	4	yes	complemented
81	C₃×#546	C₂²	1	4	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×D₄²	C₂²	1	2	yes	complemented
86	C₃×D₄²	C₂²	1	4	yes	complemented
87	C₃×D₄²	C₂²	1	4	yes	complemented
88	C₃×D₄²	C₂²	1	8	yes	complemented
89	C₃×D₄²	C₂²	1	8	yes	complemented
90	C₃×D₄²	C₂²	1	4	yes	complemented
91	C₃×D₄²	C₂²	1	4	yes	complemented
92	C₃×D₄²	C₂²	1	4	yes	complemented
93	C₃×D₄²	C₂²	1	8	yes	complemented
94	C₃×#544	C₂²	1	1	yes	characteristic, 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×#540	C₂²	1	4	yes	complemented
99	C₃×#540	C₂²	1	4	yes	complemented
100	C₃×#540	C₂²	1	8	yes	complemented
101	C₃×#540	C₂²	1	8	yes	complemented
102	C₃×#540	C₂²	1	8	yes	complemented
103	C₃×#539	C₂²	1	4	yes	complemented
104	C₃×#539	C₂²	1	8	yes	complemented
105	C₃×#539	C₂²	1	8	yes	complemented
106	C₃×#538	C₂²	1	4	yes	complemented
107	C₃×#538	C₂²	1	4	yes	complemented
108	C₃×#538	C₂²	1	8	yes	complemented
109	C₃×#538	C₂²	1	8	yes	complemented
110	C₃×#538	C₂²	1	8	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, complemented
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×#536	C₂²	1	4	yes	complemented
125	C₃×#535	C₂²	1	4	yes	complemented
126	C₃×#535	C₂²	1	2	yes	complemented
127	C₃×#535	C₂²	1	4	yes	complemented
128	C₃×#535	C₂²	1	4	yes	complemented
129	C₃×#535	C₂²	1	8	yes	complemented
130	C₃×#534	C₂²	1	4	yes	complemented
131	C₃×#534	C₂²	1	4	yes	complemented
132	C₃×#534	C₂²	1	8	yes	complemented
133	C₃×#534	C₂²	1	8	yes	complemented
134	C₃×#532	C₂²	1	4	yes	complemented
135	C₃×#532	C₂²	1	4	yes	complemented
136	C₃×#532	C₂²	1	2	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	C₂×C₃×#126	C₂²	1	2	yes	complemented
143	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
144	C₃×#525	C₂²	1	4	yes	complemented
145	C₃×#525	C₂²	1	4	yes	complemented
146	C₃×#525	C₂²	1	4	yes	complemented
147	C₃×#525	C₂²	1	2	yes	complemented
148	C₃×#525	C₂²	1	2	yes	complemented
149	C₃×#525	C₂²	1	4	yes	complemented
150	C₃×#525	C₂²	1	4	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	C₂×C₃×#123	C₂²	1	2	yes	complemented
155	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
156	C₂×C₃×#121	C₂²	1	4	yes	complemented
157	C₂×C₃×#121	C₂²	1	4	yes	complemented
158	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
159	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
160	C₂×C₃×#121	C₂²	1	2	yes	complemented
161	C₂×C₃×#121	C₂²	1	4	yes	complemented
162	C₂×C₃×#121	C₂²	1	4	yes	complemented
163	C₂×C₃×#121	C₂²	1	4	yes	complemented
164	C₃×#520	C₂²	1	2	yes	complemented
165	C₃×#520	C₂²	1	2	yes	complemented
166	C₃×#518	C₂²	1	8	yes	complemented
167	C₃×C₄×#41	C₂²	1	2	yes	complemented
168	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
171	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
172	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
173	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	#3560	C₂×C₃	1	4	yes	complemented
175	#3551	C₂×C₃	1	4	yes	complemented
176	#3546	C₂×C₃	1	4	yes	complemented
177	#3542	C₂×C₃	1	4	yes	complemented
178	#3541	C₂×C₃	1	4	yes	complemented
179	#3539	C₂×C₃	1	4	yes	complemented
180	#3537	C₂×C₃	1	4	yes	complemented
181	#3537	C₂×C₃	1	4	yes	complemented
182	#3534	C₂×C₃	1	4	yes	complemented
183	#3519	C₂×C₃	1	4	yes	complemented
184	#3519	C₂×C₃	1	4	yes	complemented
185	#3512	C₂×C₃	1	2	yes	complemented
186	#3505	C₂×C₃	1	4	yes	complemented
187	#3496	C₂×C₃	1	1	yes	characteristic, complemented
188	#3493	C₂×C₃	1	1	yes	characteristic, complemented
189	#3492	C₂×C₃	1	1	yes	characteristic, complemented
190	#3488	C₂×C₃	1	2	yes	complemented
191	#3488	C₂×C₃	1	2	yes	complemented
192	C₂×#553	C₂×C₃	1	1	yes	characteristic, complemented
193	D₄×#41	C₂×C₃	1	2	yes	complemented
194	#3460	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×H(5,𝔽₂)	—	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	2	yes	—
204	C₂×C₃×#41	C₂³	1	2	yes	—
205	C₂×C₃×#41	C₂³	1	4	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	4	yes	—
214	C₂×C₃×#41	C₂³	1	4	yes	—
215	C₂²×C₃×Q₈	C₂³	1	2	yes	—
216	C₂²×C₃×Q₈	C₂³	1	2	yes	—
217	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
218	C₂²×C₃×D₄	C₂³	1	2	yes	—
219	C₂²×C₃×D₄	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	8	yes	—
223	C₂²×C₃×D₄	C₂³	1	4	yes	—
224	C₂²×C₃×D₄	C₂³	1	4	yes	—
225	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₃×D₄	C₂³	1	2	yes	—
227	C₂²×C₃×D₄	C₂³	1	4	yes	—
228	C₂²×C₃×D₄	C₂³	1	8	yes	—
229	C₂²×C₃×D₄	C₂³	1	4	yes	—
230	C₂²×C₃×D₄	C₂³	1	2	yes	—
231	C₂²×C₃×D₄	C₂³	1	4	yes	—
232	C₂²×C₃×D₄	C₂³	1	8	yes	—
233	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
234	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₃×C₄	C₂³	1	4	yes	—
236	C₂³×C₃×C₄	C₂³	1	4	yes	—
237	C₂³×C₃×C₄	C₂³	1	2	yes	—
238	C₂³×C₃×C₄	C₂³	1	2	yes	—
239	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
240	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
241	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
242	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
243	C₃×#127	C₂³	1	4	yes	—
244	C₃×#127	C₂³	1	4	yes	—
245	C₃×#127	C₂³	1	8	yes	—
246	C₃×#127	C₂³	1	8	yes	—
247	C₃×#127	C₂³	1	4	yes	—
248	C₃×#127	C₂³	1	2	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×#126	C₂³	1	8	yes	—
256	C₃×#126	C₂³	1	8	yes	—
257	C₃×#126	C₂³	1	8	yes	—
258	C₃×#126	C₂³	1	8	yes	—
259	C₃×#125	C₂³	1	8	yes	—
260	C₃×#125	C₂³	1	8	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	4	yes	—
266	C₃×#124	C₂³	1	8	yes	—
267	C₃×#124	C₂³	1	8	yes	—
268	C₃×#124	C₂³	1	8	yes	—
269	C₃×#124	C₂³	1	2	yes	—
270	C₃×#124	C₂³	1	2	yes	—
271	C₃×#124	C₂³	1	4	yes	—
272	C₃×#124	C₂³	1	4	yes	—
273	C₃×#124	C₂³	1	8	yes	—
274	C₃×#124	C₂³	1	8	yes	—
275	C₃×#124	C₂³	1	4	yes	—
276	C₃×#124	C₂³	1	4	yes	—
277	C₃×#123	C₂³	1	8	yes	—
278	C₃×#123	C₂³	1	4	yes	—
279	C₃×#123	C₂³	1	4	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	8	yes	—
290	C₃×#123	C₂³	1	8	yes	—
291	C₃×#123	C₂³	1	4	yes	—
292	C₃×#123	C₂³	1	8	yes	—
293	C₃×#123	C₂³	1	8	yes	—
294	C₃×#123	C₂³	1	4	yes	—
295	C₃×#123	C₂³	1	4	yes	—
296	C₃×#123	C₂³	1	8	yes	—
297	C₃×#123	C₂³	1	4	yes	—
298	C₃×#123	C₂³	1	8	yes	—
299	C₃×#123	C₂³	1	8	yes	—
300	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
301	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
302	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	8	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	4	yes	—
308	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
309	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
310	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
313	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
319	C₃×C₂²⋊Q₈	C₂³	1	2	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×#121	C₂³	1	8	yes	—
324	C₃×#121	C₂³	1	8	yes	—
325	C₃×#121	C₂³	1	4	yes	—
326	C₃×#121	C₂³	1	4	yes	—
327	C₃×#121	C₂³	1	8	yes	—
328	C₃×#121	C₂³	1	4	yes	—
329	C₃×#121	C₂³	1	4	yes	—
330	C₃×#121	C₂³	1	4	yes	—
331	C₃×#121	C₂³	1	8	yes	—
332	C₃×#121	C₂³	1	4	yes	—
333	C₃×#121	C₂³	1	8	yes	—
334	C₃×#121	C₂³	1	8	yes	—
335	C₃×#121	C₂³	1	8	yes	—
336	C₃×#121	C₂³	1	8	yes	—
337	C₃×#121	C₂³	1	8	yes	—
338	C₃×#121	C₂³	1	8	yes	—
339	C₃×#121	C₂³	1	8	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	4	yes	—
344	C₃×#121	C₂³	1	8	yes	—
345	C₃×#121	C₂³	1	4	yes	—
346	C₃×#121	C₂³	1	2	yes	—
347	C₃×#121	C₂³	1	4	yes	—
348	C₃×#121	C₂³	1	2	yes	—
349	C₃×#121	C₂³	1	4	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	4	yes	—
354	C₃×#121	C₂³	1	4	yes	—
355	C₃×#121	C₂³	1	4	yes	—
356	C₃×#121	C₂³	1	4	yes	—
357	C₃×#121	C₂³	1	4	yes	—
358	C₃×#121	C₂³	1	8	yes	—
359	C₃×#121	C₂³	1	8	yes	—
360	C₃×#121	C₂³	1	8	yes	—
361	C₃×#121	C₂³	1	8	yes	—
362	C₃×#121	C₂³	1	4	yes	—
363	C₃×#121	C₂³	1	4	yes	—
364	C₃×#121	C₂³	1	8	yes	—
365	C₃×#121	C₂³	1	4	yes	—
366	C₃×#121	C₂³	1	4	yes	—
367	C₃×#121	C₂³	1	4	yes	—
368	C₃×#121	C₂³	1	8	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	2	yes	—
373	C₃×#121	C₂³	1	2	yes	—
374	C₃×#121	C₂³	1	4	yes	—
375	C₃×#121	C₂³	1	4	yes	—
376	C₃×#121	C₂³	1	4	yes	—
377	C₃×#121	C₂³	1	4	yes	—
378	C₃×#121	C₂³	1	8	yes	—
379	C₃×#121	C₂³	1	4	yes	—
380	C₃×#121	C₂³	1	4	yes	—
381	C₃×#120	C₂³	1	4	yes	—
382	C₃×#120	C₂³	1	8	yes	—
383	C₃×#120	C₂³	1	8	yes	—
384	C₃×#120	C₂³	1	4	yes	—
385	C₃×#120	C₂³	1	8	yes	—
386	C₃×#120	C₂³	1	8	yes	—
387	C₃×#120	C₂³	1	8	yes	—
388	C₃×#120	C₂³	1	8	yes	—
389	C₃×#120	C₂³	1	8	yes	—
390	C₃×#120	C₂³	1	8	yes	—
391	C₃×#120	C₂³	1	4	yes	—
392	C₃×#120	C₂³	1	8	yes	—
393	C₃×#120	C₂³	1	8	yes	—
394	C₃×#120	C₂³	1	8	yes	—
395	C₃×#120	C₂³	1	4	yes	—
396	C₃×#120	C₂³	1	4	yes	—
397	C₃×#120	C₂³	1	4	yes	—
398	C₃×C₄×Q₈	C₂³	1	2	yes	—
399	C₃×C₄×Q₈	C₂³	1	2	yes	—
400	C₃×C₄×Q₈	C₂³	1	4	yes	—
401	C₃×C₄×Q₈	C₂³	1	4	yes	—
402	C₃×C₄×Q₈	C₂³	1	4	yes	—
403	C₃×C₄×D₄	C₂³	1	2	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	2	yes	—
408	C₃×C₄×D₄	C₂³	1	4	yes	—
409	C₃×C₄×D₄	C₂³	1	2	yes	—
410	C₃×C₄×D₄	C₂³	1	4	yes	—
411	C₃×C₄×D₄	C₂³	1	4	yes	—
412	C₃×C₄×D₄	C₂³	1	2	yes	—
413	C₃×C₄×D₄	C₂³	1	4	yes	—
414	C₃×C₄×D₄	C₂³	1	4	yes	—
415	C₃×C₄×D₄	C₂³	1	4	yes	—
416	C₃×C₄×D₄	C₂³	1	4	yes	—
417	C₃×C₄×D₄	C₂³	1	4	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	2	yes	—
422	C₃×C₄×D₄	C₂³	1	4	yes	—
423	C₃×C₄×D₄	C₂³	1	2	yes	—
424	C₃×C₄×D₄	C₂³	1	8	yes	—
425	C₃×C₄×D₄	C₂³	1	8	yes	—
426	C₃×C₄×D₄	C₂³	1	8	yes	—
427	C₃×C₄×D₄	C₂³	1	8	yes	—
428	C₃×C₄×D₄	C₂³	1	8	yes	—
429	C₃×C₄×D₄	C₂³	1	8	yes	—
430	C₃×C₄×D₄	C₂³	1	8	yes	—
431	C₃×C₄×D₄	C₂³	1	8	yes	—
432	C₃×C₄×D₄	C₂³	1	4	yes	—
433	C₃×C₄×D₄	C₂³	1	4	yes	—
434	C₃×C₄×D₄	C₂³	1	4	yes	—
435	C₃×C₄×D₄	C₂³	1	4	yes	—
436	C₃×C₄×D₄	C₂³	1	4	yes	—
437	C₃×C₄×D₄	C₂³	1	4	yes	—
438	C₃×C₄×D₄	C₂³	1	4	yes	—
439	C₃×C₄×D₄	C₂³	1	8	yes	—
440	C₃×C₄×D₄	C₂³	1	8	yes	—
441	C₃×C₄×D₄	C₂³	1	4	yes	—
442	C₃×C₄×D₄	C₂³	1	8	yes	—
443	C₃×#117	C₂³	1	4	yes	—
444	C₃×#117	C₂³	1	4	yes	—
445	C₃×#117	C₂³	1	2	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	4	yes	—
450	C₃×#117	C₂³	1	4	yes	—
451	C₃×#117	C₂³	1	4	yes	—
452	C₃×#117	C₂³	1	4	yes	—
453	C₃×#117	C₂³	1	8	yes	—
454	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
455	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
457	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
458	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
459	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
461	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	4	yes	—
466	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
467	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
468	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
469	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
471	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
472	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
473	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	8	yes	—
478	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
479	C₂×C₃×C₂²⋊C₄	C₂³	1	8	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×H(5,𝔽₂)	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	#562	C₂²×C₃	1	8	yes	complemented
488	#560	C₂²×C₃	1	8	yes	complemented
489	#560	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	4	yes	complemented
495	#554	C₂²×C₃	1	4	yes	complemented
496	#554	C₂²×C₃	1	4	yes	complemented
497	#553	C₂²×C₃	1	4	yes	complemented
498	#553	C₂²×C₃	1	4	yes	complemented
499	#553	C₂²×C₃	1	4	yes	complemented
500	#553	C₂²×C₃	1	4	yes	complemented
501	#553	C₂²×C₃	1	4	yes	complemented
502	#553	C₂²×C₃	1	4	yes	complemented
503	#553	C₂²×C₃	1	4	yes	complemented
504	#553	C₂²×C₃	1	8	yes	complemented
505	#553	C₂²×C₃	1	8	yes	complemented
506	#553	C₂²×C₃	1	4	yes	complemented
507	#553	C₂²×C₃	1	4	yes	complemented
508	#553	C₂²×C₃	1	8	yes	complemented
509	#553	C₂²×C₃	1	4	yes	complemented
510	#553	C₂²×C₃	1	8	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	#552	C₂²×C₃	1	4	yes	complemented
515	#551	C₂²×C₃	1	8	yes	complemented
516	#551	C₂²×C₃	1	8	yes	complemented
517	#550	C₂²×C₃	1	2	yes	complemented
518	#550	C₂²×C₃	1	4	yes	complemented
519	#550	C₂²×C₃	1	4	yes	complemented
520	#550	C₂²×C₃	1	4	yes	complemented
521	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
522	#548	C₂²×C₃	1	2	yes	complemented
523	#548	C₂²×C₃	1	2	yes	complemented
524	#548	C₂²×C₃	1	4	yes	complemented
525	#548	C₂²×C₃	1	4	yes	complemented
526	#547	C₂²×C₃	1	2	yes	complemented
527	#547	C₂²×C₃	1	4	yes	complemented
528	#547	C₂²×C₃	1	4	yes	complemented
529	#547	C₂²×C₃	1	4	yes	complemented
530	#546	C₂²×C₃	1	4	yes	complemented
531	#546	C₂²×C₃	1	2	yes	complemented
532	#546	C₂²×C₃	1	4	yes	complemented
533	#546	C₂²×C₃	1	2	yes	complemented
534	#546	C₂²×C₃	1	4	yes	complemented
535	#546	C₂²×C₃	1	8	yes	complemented
536	#546	C₂²×C₃	1	8	yes	complemented
537	#546	C₂²×C₃	1	4	yes	complemented
538	#546	C₂²×C₃	1	4	yes	complemented
539	#546	C₂²×C₃	1	4	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	D₄²	C₂²×C₃	1	2	yes	complemented
544	D₄²	C₂²×C₃	1	4	yes	complemented
545	D₄²	C₂²×C₃	1	4	yes	complemented
546	D₄²	C₂²×C₃	1	8	yes	complemented
547	D₄²	C₂²×C₃	1	8	yes	complemented
548	D₄²	C₂²×C₃	1	4	yes	complemented
549	D₄²	C₂²×C₃	1	4	yes	complemented
550	D₄²	C₂²×C₃	1	4	yes	complemented
551	D₄²	C₂²×C₃	1	8	yes	complemented
552	#544	C₂²×C₃	1	1	yes	characteristic, 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	#540	C₂²×C₃	1	4	yes	complemented
557	#540	C₂²×C₃	1	4	yes	complemented
558	#540	C₂²×C₃	1	8	yes	complemented
559	#540	C₂²×C₃	1	8	yes	complemented
560	#540	C₂²×C₃	1	8	yes	complemented
561	#539	C₂²×C₃	1	4	yes	complemented
562	#539	C₂²×C₃	1	8	yes	complemented
563	#539	C₂²×C₃	1	8	yes	complemented
564	#538	C₂²×C₃	1	4	yes	complemented
565	#538	C₂²×C₃	1	4	yes	complemented
566	#538	C₂²×C₃	1	8	yes	complemented
567	#538	C₂²×C₃	1	8	yes	complemented
568	#538	C₂²×C₃	1	8	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, complemented
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	#536	C₂²×C₃	1	4	yes	complemented
583	#535	C₂²×C₃	1	4	yes	complemented
584	#535	C₂²×C₃	1	2	yes	complemented
585	#535	C₂²×C₃	1	4	yes	complemented
586	#535	C₂²×C₃	1	4	yes	complemented
587	#535	C₂²×C₃	1	8	yes	complemented
588	#534	C₂²×C₃	1	4	yes	complemented
589	#534	C₂²×C₃	1	4	yes	complemented
590	#534	C₂²×C₃	1	8	yes	complemented
591	#534	C₂²×C₃	1	8	yes	complemented
592	#532	C₂²×C₃	1	4	yes	complemented
593	#532	C₂²×C₃	1	4	yes	complemented
594	#532	C₂²×C₃	1	2	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	C₂×#126	C₂²×C₃	1	2	yes	complemented
601	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
602	#525	C₂²×C₃	1	4	yes	complemented
603	#525	C₂²×C₃	1	4	yes	complemented
604	#525	C₂²×C₃	1	4	yes	complemented
605	#525	C₂²×C₃	1	2	yes	complemented
606	#525	C₂²×C₃	1	2	yes	complemented
607	#525	C₂²×C₃	1	4	yes	complemented
608	#525	C₂²×C₃	1	4	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	C₂×#123	C₂²×C₃	1	2	yes	complemented
613	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
614	C₂×#121	C₂²×C₃	1	4	yes	complemented
615	C₂×#121	C₂²×C₃	1	4	yes	complemented
616	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
617	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
618	C₂×#121	C₂²×C₃	1	2	yes	complemented
619	C₂×#121	C₂²×C₃	1	4	yes	complemented
620	C₂×#121	C₂²×C₃	1	4	yes	complemented
621	C₂×#121	C₂²×C₃	1	4	yes	complemented
622	#520	C₂²×C₃	1	2	yes	complemented
623	#520	C₂²×C₃	1	2	yes	complemented
624	#518	C₂²×C₃	1	8	yes	complemented
625	C₄×#41	C₂²×C₃	1	2	yes	complemented
626	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
627	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
628	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
629	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
630	C₂×#117	C₂²×C₃	1	1	yes	characteristic, 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	2	yes	—
635	C₂⁴×C₃	C₂⁴	1	4	yes	—
636	C₂⁴×C₃	C₂⁴	1	8	yes	—
637	C₂⁴×C₃	C₂⁴	1	4	yes	—
638	C₃×#41	—	2	8	no	—
639	C₃×#41	—	2	8	no	—
640	C₃×#41	—	2	8	no	—
641	C₃×#41	—	4	8	no	—
642	C₃×#41	—	4	8	no	—
643	C₃×#41	—	4	8	no	—
644	C₃×#41	—	4	8	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	C₃×#41	—	8	4	no	—
652	C₃×#41	—	8	4	no	—
653	C₂×C₃×Q₈	—	4	4	no	—
654	C₂×C₃×Q₈	—	4	4	no	—
655	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
656	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
657	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
658	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
659	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
660	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
661	C₂×C₃×D₄	—	2	4	no	—
662	C₂×C₃×D₄	—	4	4	no	—
663	C₂×C₃×D₄	—	4	4	no	—
664	C₂×C₃×D₄	—	4	8	no	—
665	C₂×C₃×D₄	—	4	8	no	—
666	C₂×C₃×D₄	—	4	2	no	—
667	C₂×C₃×D₄	—	4	4	no	—
668	C₂×C₃×D₄	—	4	8	no	—
669	C₂×C₃×D₄	—	4	16	no	—
670	C₂×C₃×D₄	—	4	8	no	—
671	C₂×C₃×D₄	—	4	8	no	—
672	C₂×C₃×D₄	—	4	16	no	—
673	C₂×C₃×D₄	—	8	2	no	—
674	C₂×C₃×D₄	—	8	4	no	—
675	C₂×C₃×D₄	—	8	4	no	—
676	C₂×C₃×D₄	—	8	8	no	—
677	C₂×C₃×D₄	C₂⁴	1	2	yes	—
678	C₂×C₃×D₄	C₂⁴	1	4	yes	—
679	C₂×C₃×D₄	C₂⁴	1	4	yes	—
680	C₂×C₃×D₄	C₂⁴	1	4	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	2	yes	—
685	C₂×C₃×D₄	C₂⁴	1	2	yes	—
686	C₂×C₃×D₄	C₂⁴	1	2	yes	—
687	C₂×C₃×D₄	C₂⁴	1	4	yes	—
688	C₂×C₃×D₄	C₂⁴	1	4	yes	—
689	C₂×C₃×D₄	C₂⁴	1	8	yes	—
690	C₂×C₃×D₄	C₂⁴	1	8	yes	—
691	C₂×C₃×D₄	C₂⁴	1	2	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	8	yes	—
696	C₂×C₃×D₄	C₂⁴	1	4	yes	—
697	C₂×C₃×D₄	C₂⁴	1	4	yes	—
698	C₂×C₃×D₄	C₂⁴	1	4	yes	—
699	C₂×C₃×D₄	C₂⁴	1	8	yes	—
700	C₂×C₃×D₄	C₂⁴	1	4	yes	—
701	C₂×C₃×D₄	C₂⁴	1	8	yes	—
702	C₂×C₃×D₄	C₂⁴	1	4	yes	—
703	C₂×C₃×D₄	C₂⁴	1	4	yes	—
704	C₂×C₃×D₄	C₂⁴	1	4	yes	—
705	C₂×C₃×D₄	C₂⁴	1	4	yes	—
706	C₂×C₃×D₄	C₂⁴	1	4	yes	—
707	C₂×C₃×D₄	C₂⁴	1	8	yes	—
708	C₂×C₃×D₄	C₂⁴	1	8	yes	—
709	C₂×C₃×D₄	C₂⁴	1	4	yes	—
710	C₂²×C₃×C₄	—	2	4	no	—
711	C₂²×C₃×C₄	—	2	4	no	—
712	C₂²×C₃×C₄	—	4	8	no	—
713	C₂²×C₃×C₄	—	4	8	no	—
714	C₂²×C₃×C₄	—	8	2	no	—
715	C₂²×C₃×C₄	—	8	2	no	—
716	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
717	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
718	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
719	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
720	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
721	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
722	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
723	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
724	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
725	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
726	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
727	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
728	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
729	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
730	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
731	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
732	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
733	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
734	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
735	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
736	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
737	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
738	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
739	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
740	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
741	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
742	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
743	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
744	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
745	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
746	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
748	C₃×C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
753	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₃×C₄⋊C₄	C₂⁴	1	4	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	4	yes	—
761	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
763	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
766	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
767	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
769	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
770	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
775	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
778	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₃×C₂²⋊C₄	C₂⁴	1	2	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	8	yes	—
785	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
786	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
787	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
789	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
790	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
791	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
794	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
795	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
796	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
797	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₃×C₂²⋊C₄	C₂⁴	1	8	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×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
804	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
805	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
811	C₃×C₄²	C₂⁴	1	2	yes	—
812	C₃×C₄²	C₂⁴	1	4	yes	—
813	C₃×C₄²	C₂⁴	1	4	yes	—
814	C₃×C₄²	C₂⁴	1	2	yes	—
815	C₃×C₄²	C₂⁴	1	4	yes	—
816	C₃×C₄²	C₂⁴	1	4	yes	—
817	C₃×C₄²	C₂⁴	1	4	yes	—
818	C₃×C₄²	C₂⁴	1	8	yes	—
819	C₃×C₄²	C₂⁴	1	8	yes	—
820	H(5,𝔽₂)	—	4	8	no	—
821	C₂×#41	—	4	8	no	—
822	C₂×#41	—	4	8	no	—
823	C₂×#41	C₂³×C₃	1	2	yes	—
824	C₂×#41	C₂³×C₃	1	2	yes	—
825	C₂×#41	C₂³×C₃	1	2	yes	—
826	C₂×#41	C₂³×C₃	1	2	yes	—
827	C₂×#41	C₂³×C₃	1	2	yes	—
828	C₂×#41	C₂³×C₃	1	4	yes	—
829	C₂×#41	C₂³×C₃	1	4	yes	—
830	C₂×#41	C₂³×C₃	1	4	yes	—
831	C₂×#41	C₂³×C₃	1	4	yes	—
832	C₂×#41	C₂³×C₃	1	4	yes	—
833	C₂×#41	C₂³×C₃	1	4	yes	—
834	C₂×#41	C₂³×C₃	1	2	yes	—
835	C₂×#41	C₂³×C₃	1	2	yes	—
836	C₂×#41	C₂³×C₃	1	4	yes	—
837	C₂×#41	C₂³×C₃	1	4	yes	—
838	C₂²×Q₈	C₂³×C₃	1	2	yes	—
839	C₂²×Q₈	C₂³×C₃	1	2	yes	—
840	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
841	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
842	C₂²×D₄	C₂³×C₃	1	2	yes	—
843	C₂²×D₄	C₂³×C₃	1	4	yes	—
844	C₂²×D₄	C₂³×C₃	1	8	yes	—
845	C₂²×D₄	C₂³×C₃	1	2	yes	—
846	C₂²×D₄	C₂³×C₃	1	4	yes	—
847	C₂²×D₄	C₂³×C₃	1	8	yes	—
848	C₂²×D₄	C₂³×C₃	1	4	yes	—
849	C₂²×D₄	C₂³×C₃	1	4	yes	—
850	C₂²×D₄	C₂³×C₃	1	4	yes	—
851	C₂²×D₄	C₂³×C₃	1	2	yes	—
852	C₂²×D₄	C₂³×C₃	1	4	yes	—
853	C₂²×D₄	C₂³×C₃	1	2	yes	—
854	C₂²×D₄	C₂³×C₃	1	4	yes	—
855	C₂²×D₄	C₂³×C₃	1	8	yes	—
856	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
857	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
858	C₂³×C₄	C₂³×C₃	1	4	yes	—
859	C₂³×C₄	C₂³×C₃	1	4	yes	—
860	C₂³×C₄	C₂³×C₃	1	2	yes	—
861	C₂³×C₄	C₂³×C₃	1	2	yes	—
862	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
863	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
864	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
865	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
866	#127	C₂³×C₃	1	4	yes	—
867	#127	C₂³×C₃	1	4	yes	—
868	#127	C₂³×C₃	1	4	yes	—
869	#127	C₂³×C₃	1	2	yes	—
870	#127	C₂³×C₃	1	8	yes	—
871	#127	C₂³×C₃	1	8	yes	—
872	#126	C₂³×C₃	1	8	yes	—
873	#126	C₂³×C₃	1	8	yes	—
874	#126	C₂³×C₃	1	8	yes	—
875	#126	C₂³×C₃	1	8	yes	—
876	#126	C₂³×C₃	1	8	yes	—
877	#126	C₂³×C₃	1	8	yes	—
878	#126	C₂³×C₃	1	8	yes	—
879	#126	C₂³×C₃	1	8	yes	—
880	#126	C₂³×C₃	1	8	yes	—
881	#126	C₂³×C₃	1	8	yes	—
882	#125	C₂³×C₃	1	4	yes	—
883	#125	C₂³×C₃	1	4	yes	—
884	#125	C₂³×C₃	1	4	yes	—
885	#125	C₂³×C₃	1	4	yes	—
886	#125	C₂³×C₃	1	8	yes	—
887	#125	C₂³×C₃	1	8	yes	—
888	#125	C₂³×C₃	1	8	yes	—
889	#124	C₂³×C₃	1	2	yes	—
890	#124	C₂³×C₃	1	2	yes	—
891	#124	C₂³×C₃	1	4	yes	—
892	#124	C₂³×C₃	1	4	yes	—
893	#124	C₂³×C₃	1	8	yes	—
894	#124	C₂³×C₃	1	8	yes	—
895	#124	C₂³×C₃	1	4	yes	—
896	#124	C₂³×C₃	1	4	yes	—
897	#124	C₂³×C₃	1	8	yes	—
898	#124	C₂³×C₃	1	8	yes	—
899	#124	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	8	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	4	yes	—
910	#123	C₂³×C₃	1	4	yes	—
911	#123	C₂³×C₃	1	8	yes	—
912	#123	C₂³×C₃	1	4	yes	—
913	#123	C₂³×C₃	1	4	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	#123	C₂³×C₃	1	8	yes	—
920	#123	C₂³×C₃	1	8	yes	—
921	#123	C₂³×C₃	1	8	yes	—
922	#123	C₂³×C₃	1	8	yes	—
923	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
924	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
925	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
926	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
927	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
928	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
929	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
930	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
931	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
932	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
933	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
934	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
935	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
936	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
937	C₂²⋊Q₈	C₂³×C₃	1	4	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	4	yes	—
942	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
943	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
944	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
945	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
946	#121	C₂³×C₃	1	4	yes	—
947	#121	C₂³×C₃	1	2	yes	—
948	#121	C₂³×C₃	1	4	yes	—
949	#121	C₂³×C₃	1	2	yes	—
950	#121	C₂³×C₃	1	4	yes	—
951	#121	C₂³×C₃	1	4	yes	—
952	#121	C₂³×C₃	1	4	yes	—
953	#121	C₂³×C₃	1	4	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	4	yes	—
959	#121	C₂³×C₃	1	8	yes	—
960	#121	C₂³×C₃	1	8	yes	—
961	#121	C₂³×C₃	1	8	yes	—
962	#121	C₂³×C₃	1	8	yes	—
963	#121	C₂³×C₃	1	4	yes	—
964	#121	C₂³×C₃	1	4	yes	—
965	#121	C₂³×C₃	1	8	yes	—
966	#121	C₂³×C₃	1	8	yes	—
967	#121	C₂³×C₃	1	4	yes	—
968	#121	C₂³×C₃	1	4	yes	—
969	#121	C₂³×C₃	1	8	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	8	yes	—
974	#121	C₂³×C₃	1	8	yes	—
975	#121	C₂³×C₃	1	8	yes	—
976	#121	C₂³×C₃	1	8	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	4	yes	—
981	#121	C₂³×C₃	1	2	yes	—
982	#121	C₂³×C₃	1	2	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	4	yes	—
987	#121	C₂³×C₃	1	4	yes	—
988	#121	C₂³×C₃	1	4	yes	—
989	#121	C₂³×C₃	1	8	yes	—
990	#121	C₂³×C₃	1	4	yes	—
991	#121	C₂³×C₃	1	4	yes	—
992	#121	C₂³×C₃	1	8	yes	—
993	#121	C₂³×C₃	1	4	yes	—
994	#121	C₂³×C₃	1	4	yes	—
995	#121	C₂³×C₃	1	8	yes	—
996	#121	C₂³×C₃	1	8	yes	—
997	#121	C₂³×C₃	1	8	yes	—
998	#121	C₂³×C₃	1	8	yes	—
999	#121	C₂³×C₃	1	8	yes	—
1000	#121	C₂³×C₃	1	8	yes	—
1001	#121	C₂³×C₃	1	8	yes	—
1002	#121	C₂³×C₃	1	8	yes	—
1003	#121	C₂³×C₃	1	8	yes	—
1004	#120	C₂³×C₃	1	4	yes	—
1005	#120	C₂³×C₃	1	8	yes	—
1006	#120	C₂³×C₃	1	4	yes	—
1007	#120	C₂³×C₃	1	8	yes	—
1008	#120	C₂³×C₃	1	8	yes	—
1009	#120	C₂³×C₃	1	4	yes	—
1010	#120	C₂³×C₃	1	8	yes	—
1011	#120	C₂³×C₃	1	8	yes	—
1012	#120	C₂³×C₃	1	4	yes	—
1013	#120	C₂³×C₃	1	4	yes	—
1014	#120	C₂³×C₃	1	4	yes	—
1015	#120	C₂³×C₃	1	8	yes	—
1016	#120	C₂³×C₃	1	8	yes	—
1017	#120	C₂³×C₃	1	8	yes	—
1018	#120	C₂³×C₃	1	8	yes	—
1019	#120	C₂³×C₃	1	8	yes	—
1020	#120	C₂³×C₃	1	8	yes	—
1021	C₄×Q₈	C₂³×C₃	1	2	yes	—
1022	C₄×Q₈	C₂³×C₃	1	2	yes	—
1023	C₄×Q₈	C₂³×C₃	1	4	yes	—
1024	C₄×Q₈	C₂³×C₃	1	4	yes	—
1025	C₄×Q₈	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	4	yes	—
1030	C₄×D₄	C₂³×C₃	1	2	yes	—
1031	C₄×D₄	C₂³×C₃	1	4	yes	—
1032	C₄×D₄	C₂³×C₃	1	2	yes	—
1033	C₄×D₄	C₂³×C₃	1	4	yes	—
1034	C₄×D₄	C₂³×C₃	1	4	yes	—
1035	C₄×D₄	C₂³×C₃	1	2	yes	—
1036	C₄×D₄	C₂³×C₃	1	4	yes	—
1037	C₄×D₄	C₂³×C₃	1	4	yes	—
1038	C₄×D₄	C₂³×C₃	1	4	yes	—
1039	C₄×D₄	C₂³×C₃	1	4	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	2	yes	—
1045	C₄×D₄	C₂³×C₃	1	4	yes	—
1046	C₄×D₄	C₂³×C₃	1	2	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	C₄×D₄	C₂³×C₃	1	8	yes	—
1053	C₄×D₄	C₂³×C₃	1	8	yes	—
1054	C₄×D₄	C₂³×C₃	1	8	yes	—
1055	C₄×D₄	C₂³×C₃	1	4	yes	—
1056	C₄×D₄	C₂³×C₃	1	4	yes	—
1057	C₄×D₄	C₂³×C₃	1	4	yes	—
1058	C₄×D₄	C₂³×C₃	1	4	yes	—
1059	C₄×D₄	C₂³×C₃	1	4	yes	—
1060	C₄×D₄	C₂³×C₃	1	4	yes	—
1061	C₄×D₄	C₂³×C₃	1	4	yes	—
1062	C₄×D₄	C₂³×C₃	1	8	yes	—
1063	C₄×D₄	C₂³×C₃	1	8	yes	—
1064	C₄×D₄	C₂³×C₃	1	4	yes	—
1065	C₄×D₄	C₂³×C₃	1	8	yes	—
1066	#117	C₂³×C₃	1	4	yes	—
1067	#117	C₂³×C₃	1	4	yes	—
1068	#117	C₂³×C₃	1	2	yes	—
1069	#117	C₂³×C₃	1	4	yes	—
1070	#117	C₂³×C₃	1	8	yes	—
1071	#117	C₂³×C₃	1	8	yes	—
1072	#117	C₂³×C₃	1	4	yes	—
1073	#117	C₂³×C₃	1	4	yes	—
1074	#117	C₂³×C₃	1	4	yes	—
1075	#117	C₂³×C₃	1	4	yes	—
1076	#117	C₂³×C₃	1	8	yes	—
1077	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1080	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1081	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1082	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1084	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1086	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1087	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1088	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1089	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1090	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1091	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1092	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1094	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1095	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1096	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1098	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1099	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1100	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1101	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1102	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1103	C₂×C₄²	C₂³×C₃	1	2	yes	—
1104	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1105	C₂×C₄²	C₂³×C₃	1	4	yes	—
1106	C₂³×C₃	—	2	2	no	—
1107	C₂³×C₃	—	2	2	no	—
1108	C₂³×C₃	—	2	2	no	—
1109	C₂³×C₃	—	2	4	no	—
1110	C₂³×C₃	—	2	8	no	—
1111	C₂³×C₃	—	4	1	no	—
1112	C₂³×C₃	—	4	4	no	—
1113	C₂³×C₃	—	4	4	no	—
1114	C₂³×C₃	—	4	2	no	—
1115	C₂³×C₃	—	4	1	no	—
1116	C₂³×C₃	—	4	2	no	—
1117	C₂³×C₃	—	4	4	no	—
1118	C₂³×C₃	—	4	1	no	—
1119	C₂³×C₃	—	4	4	no	—
1120	C₂³×C₃	—	4	4	no	—
1121	C₂³×C₃	—	4	8	no	—
1122	C₂³×C₃	—	4	8	no	—
1123	C₂³×C₃	—	4	8	no	—
1124	C₂³×C₃	C₂⁵	1	2	yes	—
1125	C₂³×C₃	C₂⁵	1	4	yes	—
1126	C₂³×C₃	C₂⁵	1	4	yes	—
1127	C₂³×C₃	C₂⁵	1	4	yes	—
1128	C₂³×C₃	C₂⁵	1	4	yes	—
1129	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1130	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1131	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1132	C₃×Q₈	—	2	4	no	—
1133	C₃×Q₈	—	2	4	no	—
1134	C₃×Q₈	—	2	4	no	—
1135	C₃×Q₈	—	4	4	no	—
1136	C₃×Q₈	—	4	4	no	—
1137	C₃×Q₈	—	4	4	no	—
1138	C₃×D₄	—	2	8	no	—
1139	C₃×D₄	—	2	8	no	—
1140	C₃×D₄	—	2	8	no	—
1141	C₃×D₄	—	2	4	no	—
1142	C₃×D₄	—	2	8	no	—
1143	C₃×D₄	—	2	8	no	—
1144	C₃×D₄	—	2	8	no	—
1145	C₃×D₄	—	2	4	no	—
1146	C₃×D₄	—	2	4	no	—
1147	C₃×D₄	—	2	4	no	—
1148	C₃×D₄	—	4	8	no	—
1149	C₃×D₄	—	4	8	no	—
1150	C₃×D₄	—	4	4	no	—
1151	C₃×D₄	—	4	4	no	—
1152	C₃×D₄	—	4	8	no	—
1153	C₃×D₄	—	4	8	no	—
1154	C₃×D₄	—	4	2	no	—
1155	C₃×D₄	—	4	4	no	—
1156	C₃×D₄	—	4	4	no	—
1157	C₃×D₄	—	4	4	no	—
1158	C₃×D₄	—	4	4	no	—
1159	C₃×D₄	—	4	4	no	—
1160	C₃×D₄	—	4	4	no	—
1161	C₃×D₄	—	4	4	no	—
1162	C₃×D₄	—	4	4	no	—
1163	C₃×D₄	—	4	8	no	—
1164	C₃×D₄	—	4	8	no	—
1165	C₃×D₄	—	4	4	no	—
1166	C₃×D₄	—	4	4	no	—
1167	C₃×D₄	—	4	4	no	—
1168	C₃×D₄	—	4	4	no	—
1169	C₃×D₄	—	4	8	no	—
1170	C₃×D₄	—	4	4	no	—
1171	C₂×C₃×C₄	—	2	2	no	—
1172	C₂×C₃×C₄	—	2	2	no	—
1173	C₂×C₃×C₄	—	2	4	no	—
1174	C₂×C₃×C₄	—	2	4	no	—
1175	C₂×C₃×C₄	—	2	4	no	—
1176	C₂×C₃×C₄	—	2	4	no	—
1177	C₂×C₃×C₄	—	2	8	no	—
1178	C₂×C₃×C₄	—	2	8	no	—
1179	C₂×C₃×C₄	—	2	8	no	—
1180	C₂×C₃×C₄	—	4	4	no	—
1181	C₂×C₃×C₄	—	4	4	no	—
1182	C₂×C₃×C₄	—	4	4	no	—
1183	C₂×C₃×C₄	—	4	4	no	—
1184	C₂×C₃×C₄	—	4	4	no	—
1185	C₂×C₃×C₄	—	4	4	no	—
1186	C₂×C₃×C₄	—	4	1	no	—
1187	C₂×C₃×C₄	—	4	2	no	—
1188	C₂×C₃×C₄	—	4	2	no	—
1189	C₂×C₃×C₄	—	4	4	no	—
1190	C₂×C₃×C₄	—	4	4	no	—
1191	C₂×C₃×C₄	—	4	4	no	—
1192	C₂×C₃×C₄	—	4	4	no	—
1193	C₂×C₃×C₄	—	4	2	no	—
1194	C₂×C₃×C₄	—	4	1	no	—
1195	C₂×C₃×C₄	—	4	8	no	—
1196	C₂×C₃×C₄	—	4	4	no	—
1197	C₂×C₃×C₄	—	4	8	no	—
1198	C₂×C₃×C₄	—	4	8	no	—
1199	C₂×C₃×C₄	—	4	4	no	—
1200	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	—
1201	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1202	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1203	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1204	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1205	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1206	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1207	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1208	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1209	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1210	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1211	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1212	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1213	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1214	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1215	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1216	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1217	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1218	C₂⁴	C₂⁴×C₃	1	2	yes	—
1219	C₂⁴	C₂⁴×C₃	1	4	yes	—
1220	C₂⁴	C₂⁴×C₃	1	8	yes	—
1221	C₂⁴	C₂⁴×C₃	1	4	yes	—
1222	#41	—	2	8	no	—
1223	#41	—	2	8	no	—
1224	#41	—	2	8	no	—
1225	#41	—	4	8	no	—
1226	#41	—	4	8	no	—
1227	#41	—	4	8	no	—
1228	#41	—	4	8	no	—
1229	#41	—	4	4	no	—
1230	#41	—	4	4	no	—
1231	#41	—	4	4	no	—
1232	#41	—	4	4	no	—
1233	#41	—	4	8	no	—
1234	#41	—	4	8	no	—
1235	#41	—	8	4	no	—
1236	#41	—	8	4	no	—
1237	C₂×Q₈	—	4	4	no	—
1238	C₂×Q₈	—	4	4	no	—
1239	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1240	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1241	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1242	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1243	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1244	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1245	C₂×D₄	—	2	4	no	—
1246	C₂×D₄	—	4	4	no	—
1247	C₂×D₄	—	4	4	no	—
1248	C₂×D₄	—	4	8	no	—
1249	C₂×D₄	—	4	8	no	—
1250	C₂×D₄	—	4	8	no	—
1251	C₂×D₄	—	4	8	no	—
1252	C₂×D₄	—	4	16	no	—
1253	C₂×D₄	—	4	2	no	—
1254	C₂×D₄	—	4	4	no	—
1255	C₂×D₄	—	4	8	no	—
1256	C₂×D₄	—	4	16	no	—
1257	C₂×D₄	—	8	2	no	—
1258	C₂×D₄	—	8	4	no	—
1259	C₂×D₄	—	8	4	no	—
1260	C₂×D₄	—	8	8	no	—
1261	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1262	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1263	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1264	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1265	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1266	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1267	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1268	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1269	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1270	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1271	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1272	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1273	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1274	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1275	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1276	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1277	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1278	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1279	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1280	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1281	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1282	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1283	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1284	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1285	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1286	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1287	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1288	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1289	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1290	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1291	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1292	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1293	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1294	C₂²×C₄	—	2	4	no	—
1295	C₂²×C₄	—	2	4	no	—
1296	C₂²×C₄	—	4	8	no	—
1297	C₂²×C₄	—	4	8	no	—
1298	C₂²×C₄	—	8	2	no	—
1299	C₂²×C₄	—	8	2	no	—
1300	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1301	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1302	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1303	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1304	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1305	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1306	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1307	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1308	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1309	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1310	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1313	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1314	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1315	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1316	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1317	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1318	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1319	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1320	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1321	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1322	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1323	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1324	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1325	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1326	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1327	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1328	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1329	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1330	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1331	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1332	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1333	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1334	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1335	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1336	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1337	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1338	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1339	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1340	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1341	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1342	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1343	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1344	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1345	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1346	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1347	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1348	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1349	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1350	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1351	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1352	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1353	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1354	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1355	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1356	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1357	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1358	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1359	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1360	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1361	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1362	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1363	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1364	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1365	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1366	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1367	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1368	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1369	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1370	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1371	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1372	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1373	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1374	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1375	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1376	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1377	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1378	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1379	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1380	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1381	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1382	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1383	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1384	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1385	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1386	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1387	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1388	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1389	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1390	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1391	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1392	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1393	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1394	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1395	C₄²	C₂⁴×C₃	1	2	yes	—
1396	C₄²	C₂⁴×C₃	1	4	yes	—
1397	C₄²	C₂⁴×C₃	1	4	yes	—
1398	C₄²	C₂⁴×C₃	1	2	yes	—
1399	C₄²	C₂⁴×C₃	1	4	yes	—
1400	C₄²	C₂⁴×C₃	1	4	yes	—
1401	C₄²	C₂⁴×C₃	1	4	yes	—
1402	C₄²	C₂⁴×C₃	1	8	yes	—
1403	C₄²	C₂⁴×C₃	1	8	yes	—
1404	C₂²×C₃	—	2	1	no	—
1405	C₂²×C₃	—	2	1	no	—
1406	C₂²×C₃	—	2	1	no	—
1407	C₂²×C₃	—	2	1	no	—
1408	C₂²×C₃	—	2	2	no	—
1409	C₂²×C₃	—	2	1	no	—
1410	C₂²×C₃	—	2	4	no	—
1411	C₂²×C₃	—	2	4	no	—
1412	C₂²×C₃	—	2	4	no	—
1413	C₂²×C₃	—	2	4	no	—
1414	C₂²×C₃	—	2	4	no	—
1415	C₂²×C₃	—	2	4	no	—
1416	C₂²×C₃	—	2	2	no	—
1417	C₂²×C₃	—	2	4	no	—
1418	C₂²×C₃	—	2	4	no	—
1419	C₂²×C₃	—	2	1	no	—
1420	C₂²×C₃	—	2	1	no	—
1421	C₂²×C₃	—	2	4	no	—
1422	C₂²×C₃	—	2	4	no	—
1423	C₂²×C₃	—	2	4	no	—
1424	C₂²×C₃	—	2	2	no	—
1425	C₂²×C₃	—	2	4	no	—
1426	C₂²×C₃	—	4	4	no	—
1427	C₂²×C₃	—	8	8	no	—
1428	C₂²×C₃	—	8	2	no	—
1429	C₂²×C₃	—	8	4	no	—
1430	C₂²×C₃	—	8	8	no	—
1431	C₂²×C₃	—	16	8	no	—
1432	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1433	C₂²×C₃	#585	1	2	yes	—
1434	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1435	C₃×C₄	—	2	1	no	—
1436	C₃×C₄	—	2	2	no	—
1437	C₃×C₄	—	2	1	no	—
1438	C₃×C₄	—	2	4	no	—
1439	C₃×C₄	—	2	4	no	—
1440	C₃×C₄	—	2	4	no	—
1441	C₃×C₄	—	2	4	no	—
1442	C₃×C₄	—	2	2	no	—
1443	C₃×C₄	—	2	4	no	—
1444	C₃×C₄	—	2	1	no	—
1445	C₃×C₄	—	2	1	no	—
1446	C₃×C₄	—	2	4	no	—
1447	C₃×C₄	—	2	4	no	—
1448	C₃×C₄	—	2	4	no	—
1449	C₃×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1450	C₂³	—	2	2	no	—
1451	C₂³	—	2	2	no	—
1452	C₂³	—	2	2	no	—
1453	C₂³	—	2	4	no	—
1454	C₂³	—	2	8	no	—
1455	C₂³	—	4	1	no	—
1456	C₂³	—	4	4	no	—
1457	C₂³	—	4	4	no	—
1458	C₂³	—	4	2	no	—
1459	C₂³	—	4	1	no	—
1460	C₂³	—	4	2	no	—
1461	C₂³	—	4	4	no	—
1462	C₂³	—	4	1	no	—
1463	C₂³	—	4	4	no	—
1464	C₂³	—	4	4	no	—
1465	C₂³	—	4	8	no	—
1466	C₂³	—	4	8	no	—
1467	C₂³	—	4	8	no	—
1468	C₂³	C₂⁵×C₃	1	2	yes	—
1469	C₂³	C₂⁵×C₃	1	4	yes	—
1470	C₂³	C₂⁵×C₃	1	4	yes	—
1471	C₂³	C₂⁵×C₃	1	4	yes	—
1472	C₂³	C₂⁵×C₃	1	4	yes	—
1473	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1474	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1475	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1476	Q₈	—	2	4	no	—
1477	Q₈	—	2	4	no	—
1478	Q₈	—	2	4	no	—
1479	Q₈	—	4	4	no	—
1480	Q₈	—	4	4	no	—
1481	Q₈	—	4	4	no	—
1482	D₄	—	2	8	no	—
1483	D₄	—	2	8	no	—
1484	D₄	—	2	8	no	—
1485	D₄	—	2	4	no	—
1486	D₄	—	2	8	no	—
1487	D₄	—	2	8	no	—
1488	D₄	—	2	8	no	—
1489	D₄	—	2	4	no	—
1490	D₄	—	2	4	no	—
1491	D₄	—	2	4	no	—
1492	D₄	—	4	8	no	—
1493	D₄	—	4	8	no	—
1494	D₄	—	4	4	no	—
1495	D₄	—	4	4	no	—
1496	D₄	—	4	4	no	—
1497	D₄	—	4	4	no	—
1498	D₄	—	4	4	no	—
1499	D₄	—	4	4	no	—
1500	D₄	—	4	4	no	—
1501	D₄	—	4	4	no	—
1502	D₄	—	4	8	no	—
1503	D₄	—	4	8	no	—
1504	D₄	—	4	2	no	—
1505	D₄	—	4	4	no	—
1506	D₄	—	4	4	no	—
1507	D₄	—	4	8	no	—
1508	D₄	—	4	8	no	—
1509	D₄	—	4	4	no	—
1510	D₄	—	4	4	no	—
1511	D₄	—	4	4	no	—
1512	D₄	—	4	4	no	—
1513	D₄	—	4	8	no	—
1514	D₄	—	4	4	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	4	no	—
1518	C₂×C₄	—	2	4	no	—
1519	C₂×C₄	—	2	4	no	—
1520	C₂×C₄	—	2	4	no	—
1521	C₂×C₄	—	2	8	no	—
1522	C₂×C₄	—	2	8	no	—
1523	C₂×C₄	—	2	8	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	4	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	1	no	—
1531	C₂×C₄	—	4	2	no	—
1532	C₂×C₄	—	4	2	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	4	4	no	—
1535	C₂×C₄	—	4	4	no	—
1536	C₂×C₄	—	4	4	no	—
1537	C₂×C₄	—	4	8	no	—
1538	C₂×C₄	—	4	2	no	—
1539	C₂×C₄	—	4	1	no	—
1540	C₂×C₄	—	4	8	no	—
1541	C₂×C₄	—	4	4	no	—
1542	C₂×C₄	—	4	8	no	—
1543	C₂×C₄	—	4	4	no	—
1544	C₂×C₄	C₃×H(5,𝔽₂)	1	4	yes	—
1545	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1546	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1547	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1548	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1549	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1550	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1551	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1552	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1553	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1554	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1555	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1556	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1557	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1558	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1559	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1560	C₂×C₃	—	2	2	no	—
1561	C₂×C₃	—	2	2	no	—
1562	C₂×C₃	—	4	1	no	—
1563	C₂×C₃	—	4	4	no	—
1564	C₂×C₃	—	4	2	no	—
1565	C₂×C₃	—	4	4	no	—
1566	C₂×C₃	—	4	4	no	—
1567	C₂×C₃	—	4	4	no	—
1568	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1569	C₂×C₃	C₂×#585	1	1	yes	characteristic
1570	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1571	C₂²	—	2	1	no	—
1572	C₂²	—	2	1	no	—
1573	C₂²	—	2	1	no	—
1574	C₂²	—	2	1	no	—
1575	C₂²	—	2	2	no	—
1576	C₂²	—	2	1	no	—
1577	C₂²	—	2	4	no	—
1578	C₂²	—	2	4	no	—
1579	C₂²	—	2	4	no	—
1580	C₂²	—	2	4	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	4	no	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	2	4	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	2	1	no	—
1588	C₂²	—	2	4	no	—
1589	C₂²	—	2	4	no	—
1590	C₂²	—	2	4	no	—
1591	C₂²	—	2	2	no	—
1592	C₂²	—	2	4	no	—
1593	C₂²	—	4	4	no	—
1594	C₂²	—	8	8	no	—
1595	C₂²	—	8	2	no	—
1596	C₂²	—	8	4	no	—
1597	C₂²	—	8	8	no	—
1598	C₂²	—	16	8	no	—
1599	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1600	C₂²	C₃×#585	1	2	yes	—
1601	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1602	C₄	—	2	1	no	—
1603	C₄	—	2	2	no	—
1604	C₄	—	2	1	no	—
1605	C₄	—	2	4	no	—
1606	C₄	—	2	4	no	—
1607	C₄	—	2	4	no	—
1608	C₄	—	2	4	no	—
1609	C₄	—	2	2	no	—
1610	C₄	—	2	4	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	4	no	—
1614	C₄	—	2	4	no	—
1615	C₄	—	2	4	no	—
1616	C₄	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1617	C₃	#62957	1	1	yes	characteristic, direct product factor, Sylow
1618	C₂	—	2	2	no	—
1619	C₂	—	2	2	no	—
1620	C₂	—	4	1	no	—
1621	C₂	—	4	2	no	—
1622	C₂	—	4	4	no	—
1623	C₂	—	4	4	no	—
1624	C₂	—	4	4	no	—
1625	C₂	—	4	4	no	—
1626	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1627	C₂	C₂×C₃×#585	1	1	yes	characteristic
1628	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×#3560	C₂	semidirect
2. C₃×#3551	C₂	semidirect
3. C₃×#3546	C₂	semidirect
4. C₃×#3542	C₂	semidirect
5. C₃×#3541	C₂	semidirect
6. C₃×#3539	C₂	semidirect
7. C₃×#3537	C₂	semidirect
8. C₃×#3537	C₂	semidirect
9. C₃×#3534	C₂	semidirect
10. C₃×#3519	C₂	semidirect
11. C₃×#3519	C₂	semidirect
12. C₃×#3512	C₂	semidirect
13. C₃×#3505	C₂	semidirect
14. C₃×#3496	C₂	semidirect
15. C₃×#3493	C₂	semidirect
16. C₃×#3492	C₂	semidirect
17. C₃×#3488	C₂	semidirect
18. C₃×#3488	C₂	semidirect
19. C₂×C₃×#553	C₂	semidirect
20. C₃×D₄×#41	C₂	semidirect
21. C₃×#3460	C₂	semidirect
22. C₃×#3449	C₂	semidirect
23. C₂×C₃×#537	C₂	semidirect
24. #62957	C₃	direct (N × H)
25. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₃×#41	C₂²	semidirect
27. C₂²×C₃×#41	C₂²	semidirect
28. C₃×#563	C₂²	semidirect
29. C₃×#562	C₂²	semidirect
30. C₃×#560	C₂²	semidirect
31. C₃×#560	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×#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×#552	C₂²	semidirect
54. C₃×#552	C₂²	semidirect
55. C₃×#552	C₂²	semidirect
56. C₃×#552	C₂²	semidirect
57. C₃×#551	C₂²	semidirect
58. C₃×#551	C₂²	semidirect
59. C₃×#550	C₂²	semidirect
60. C₃×#550	C₂²	semidirect
61. C₃×#550	C₂²	semidirect
62. C₃×#550	C₂²	semidirect
63. C₃×D₄×Q₈	C₂²	semidirect
64. C₃×#548	C₂²	semidirect
65. C₃×#548	C₂²	semidirect
66. C₃×#548	C₂²	semidirect
67. C₃×#548	C₂²	semidirect
68. C₃×#547	C₂²	semidirect
69. C₃×#547	C₂²	semidirect
70. C₃×#547	C₂²	semidirect
71. C₃×#547	C₂²	semidirect
72. C₃×#546	C₂²	semidirect
73. C₃×#546	C₂²	semidirect
74. C₃×#546	C₂²	semidirect
75. C₃×#546	C₂²	semidirect
76. C₃×#546	C₂²	semidirect
77. C₃×#546	C₂²	semidirect
78. C₃×#546	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×D₄²	C₂²	semidirect
86. C₃×D₄²	C₂²	semidirect
87. C₃×D₄²	C₂²	semidirect
88. C₃×D₄²	C₂²	semidirect
89. C₃×D₄²	C₂²	semidirect
90. C₃×D₄²	C₂²	semidirect
91. C₃×D₄²	C₂²	semidirect
92. C₃×D₄²	C₂²	semidirect
93. C₃×D₄²	C₂²	semidirect
94. C₃×#544	C₂²	semidirect
95. C₃×#542	C₂²	semidirect
96. C₃×#542	C₂²	semidirect
97. C₃×#541	C₂²	semidirect
98. C₃×#540	C₂²	semidirect
99. C₃×#540	C₂²	semidirect
100. C₃×#540	C₂²	semidirect
101. C₃×#540	C₂²	semidirect
102. C₃×#540	C₂²	semidirect
103. C₃×#539	C₂²	semidirect
104. C₃×#539	C₂²	semidirect
105. C₃×#539	C₂²	semidirect
106. C₃×#538	C₂²	semidirect
107. C₃×#538	C₂²	semidirect
108. C₃×#538	C₂²	semidirect
109. C₃×#538	C₂²	semidirect
110. C₃×#538	C₂²	semidirect
111. C₃×#538	C₂²	semidirect
112. C₃×#538	C₂²	semidirect
113. C₃×#538	C₂²	semidirect
114. C₃×#537	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×#536	C₂²	semidirect
125. C₃×#535	C₂²	semidirect
126. C₃×#535	C₂²	semidirect
127. C₃×#535	C₂²	semidirect
128. C₃×#535	C₂²	semidirect
129. C₃×#535	C₂²	semidirect
130. C₃×#534	C₂²	semidirect
131. C₃×#534	C₂²	semidirect
132. C₃×#534	C₂²	semidirect
133. C₃×#534	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. C₂×C₃×#126	C₂²	semidirect
143. C₂×C₃×#125	C₂²	semidirect
144. C₃×#525	C₂²	semidirect
145. C₃×#525	C₂²	semidirect
146. C₃×#525	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. C₂×C₃×#123	C₂²	semidirect
155. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
156. C₂×C₃×#121	C₂²	semidirect
157. C₂×C₃×#121	C₂²	semidirect
158. C₂×C₃×#121	C₂²	semidirect
159. C₂×C₃×#121	C₂²	semidirect
160. C₂×C₃×#121	C₂²	semidirect
161. C₂×C₃×#121	C₂²	semidirect
162. C₂×C₃×#121	C₂²	semidirect
163. C₂×C₃×#121	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×D₄	C₂²	semidirect
169. C₂×C₃×C₄×D₄	C₂²	semidirect
170. C₂×C₃×C₄×D₄	C₂²	semidirect
171. C₂×C₃×C₄×D₄	C₂²	semidirect
172. C₂×C₃×#117	C₂²	semidirect
173. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
174. #3560	C₂×C₃	semidirect
175. #3551	C₂×C₃	semidirect
176. #3546	C₂×C₃	semidirect
177. #3542	C₂×C₃	semidirect
178. #3541	C₂×C₃	semidirect
179. #3539	C₂×C₃	semidirect
180. #3537	C₂×C₃	semidirect
181. #3537	C₂×C₃	semidirect
182. #3534	C₂×C₃	semidirect
183. #3519	C₂×C₃	semidirect
184. #3519	C₂×C₃	semidirect
185. #3512	C₂×C₃	semidirect
186. #3505	C₂×C₃	semidirect
187. #3496	C₂×C₃	semidirect
188. #3493	C₂×C₃	semidirect
189. #3492	C₂×C₃	semidirect
190. #3488	C₂×C₃	semidirect
191. #3488	C₂×C₃	semidirect
192. C₂×#553	C₂×C₃	semidirect
193. D₄×#41	C₂×C₃	semidirect
194. #3460	C₂×C₃	semidirect
195. #3449	C₂×C₃	semidirect
196. C₂×#537	C₂×C₃	semidirect
483. C₂×H(5,𝔽₂)	C₂²×C₃	semidirect
484. C₂²×#41	C₂²×C₃	semidirect
485. C₂²×#41	C₂²×C₃	semidirect
486. #563	C₂²×C₃	semidirect
487. #562	C₂²×C₃	semidirect
488. #560	C₂²×C₃	semidirect
489. #560	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. #553	C₂²×C₃	semidirect
507. #553	C₂²×C₃	semidirect
508. #553	C₂²×C₃	semidirect
509. #553	C₂²×C₃	semidirect
510. #553	C₂²×C₃	semidirect
511. #552	C₂²×C₃	semidirect
512. #552	C₂²×C₃	semidirect
513. #552	C₂²×C₃	semidirect
514. #552	C₂²×C₃	semidirect
515. #551	C₂²×C₃	semidirect
516. #551	C₂²×C₃	semidirect
517. #550	C₂²×C₃	semidirect
518. #550	C₂²×C₃	semidirect
519. #550	C₂²×C₃	semidirect
520. #550	C₂²×C₃	semidirect
521. D₄×Q₈	C₂²×C₃	semidirect
522. #548	C₂²×C₃	semidirect
523. #548	C₂²×C₃	semidirect
524. #548	C₂²×C₃	semidirect
525. #548	C₂²×C₃	semidirect
526. #547	C₂²×C₃	semidirect
527. #547	C₂²×C₃	semidirect
528. #547	C₂²×C₃	semidirect
529. #547	C₂²×C₃	semidirect
530. #546	C₂²×C₃	semidirect
531. #546	C₂²×C₃	semidirect
532. #546	C₂²×C₃	semidirect
533. #546	C₂²×C₃	semidirect
534. #546	C₂²×C₃	semidirect
535. #546	C₂²×C₃	semidirect
536. #546	C₂²×C₃	semidirect
537. #546	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. D₄²	C₂²×C₃	semidirect
544. D₄²	C₂²×C₃	semidirect
545. D₄²	C₂²×C₃	semidirect
546. D₄²	C₂²×C₃	semidirect
547. D₄²	C₂²×C₃	semidirect
548. D₄²	C₂²×C₃	semidirect
549. D₄²	C₂²×C₃	semidirect
550. D₄²	C₂²×C₃	semidirect
551. D₄²	C₂²×C₃	semidirect
552. #544	C₂²×C₃	semidirect
553. #542	C₂²×C₃	semidirect
554. #542	C₂²×C₃	semidirect
555. #541	C₂²×C₃	semidirect
556. #540	C₂²×C₃	semidirect
557. #540	C₂²×C₃	semidirect
558. #540	C₂²×C₃	semidirect
559. #540	C₂²×C₃	semidirect
560. #540	C₂²×C₃	semidirect
561. #539	C₂²×C₃	semidirect
562. #539	C₂²×C₃	semidirect
563. #539	C₂²×C₃	semidirect
564. #538	C₂²×C₃	semidirect
565. #538	C₂²×C₃	semidirect
566. #538	C₂²×C₃	semidirect
567. #538	C₂²×C₃	semidirect
568. #538	C₂²×C₃	semidirect
569. #538	C₂²×C₃	semidirect
570. #538	C₂²×C₃	semidirect
571. #538	C₂²×C₃	semidirect
572. #537	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. #536	C₂²×C₃	semidirect
583. #535	C₂²×C₃	semidirect
584. #535	C₂²×C₃	semidirect
585. #535	C₂²×C₃	semidirect
586. #535	C₂²×C₃	semidirect
587. #535	C₂²×C₃	semidirect
588. #534	C₂²×C₃	semidirect
589. #534	C₂²×C₃	semidirect
590. #534	C₂²×C₃	semidirect
591. #534	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. C₂×#126	C₂²×C₃	semidirect
601. C₂×#125	C₂²×C₃	semidirect
602. #525	C₂²×C₃	semidirect
603. #525	C₂²×C₃	semidirect
604. #525	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. C₂×#123	C₂²×C₃	semidirect
613. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
614. C₂×#121	C₂²×C₃	semidirect
615. C₂×#121	C₂²×C₃	semidirect
616. C₂×#121	C₂²×C₃	semidirect
617. C₂×#121	C₂²×C₃	semidirect
618. C₂×#121	C₂²×C₃	semidirect
619. C₂×#121	C₂²×C₃	semidirect
620. C₂×#121	C₂²×C₃	semidirect
621. C₂×#121	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×D₄	C₂²×C₃	semidirect
627. C₂×C₄×D₄	C₂²×C₃	semidirect
628. C₂×C₄×D₄	C₂²×C₃	semidirect
629. C₂×C₄×D₄	C₂²×C₃	semidirect
630. C₂×#117	C₂²×C₃	semidirect
631. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
1617. C₃	#62957	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×#3551	2
C₃×#3546	2
C₃×#3542	2
C₃×#3541	2
C₃×#3539	2
C₃×#3537	2
C₃×#3534	2
C₃×#3519	2
C₃×#3512	2
C₃×#3505	2
C₃×#3496	2
C₃×#3493	2
C₃×#3492	2
C₃×#3488	2
C₂×C₃×#553	2
C₃×D₄×#41	2
C₃×#3460	2
C₃×#3449	2
C₂×C₃×#537	2
#62957	3

Subgroups — C3×#62957 #10681564

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62957 #10681564