Subgroups — C₆₇×#61580 #30740831

Order 17152.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#41×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#3317	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#3315	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#3313	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#3312	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#3311	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#3310	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#3306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#3271	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#3270	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#3270	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#3269	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#3269	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#3219	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#3216	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#3197	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#3196	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#3191	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#3190	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#3116	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#3007	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₇×#3005	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₇×#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#452×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#2973	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
33	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
34	C₂×#137×C₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂×#137×C₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂×#137×C₆₇	C₂²	1	1	yes	characteristic, complemented
37	C₂×AGL(1,ℤ/8)×C₆₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×#135×C₆₇	C₂²	1	1	yes	characteristic, complemented
39	C₂×#135×C₆₇	C₂²	1	1	yes	characteristic, complemented
40	C₂²×Q₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
41	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
42	#556×C₆₇	C₂²	1	1	yes	characteristic, complemented
43	#554×C₆₇	—	2	1	no	—
44	#552×C₆₇	C₂²	1	1	yes	characteristic
45	#552×C₆₇	C₂²	1	1	yes	characteristic, complemented
46	#551×C₆₇	—	2	1	no	—
47	#551×C₆₇	—	2	1	no	—
48	#550×C₆₇	C₂²	1	1	yes	characteristic
49	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
51	#548×C₆₇	C₂²	1	1	yes	characteristic
52	#548×C₆₇	C₂²	1	1	yes	characteristic
53	#548×C₆₇	C₂²	1	1	yes	characteristic
54	#548×C₆₇	C₂²	1	1	yes	characteristic, complemented
55	#547×C₆₇	—	2	1	no	—
56	#547×C₆₇	C₂²	1	1	yes	characteristic
57	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
58	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
59	#546×C₆₇	—	2	1	no	—
60	#546×C₆₇	—	2	1	no	—
61	#546×C₆₇	—	2	1	no	—
62	#546×C₆₇	C₂²	1	1	yes	characteristic
63	#546×C₆₇	C₂²	1	1	yes	characteristic
64	D₄²×C₆₇	—	2	1	no	—
65	D₄²×C₆₇	C₂²	1	1	yes	characteristic
66	#542×C₆₇	—	2	1	no	—
67	#539×C₆₇	—	2	1	no	—
68	#539×C₆₇	—	2	1	no	—
69	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
70	#532×C₆₇	—	2	1	no	—
71	#532×C₆₇	C₂²	1	1	yes	characteristic
72	#529×C₆₇	C₂²	1	1	yes	characteristic, complemented
73	#525×C₆₇	—	2	1	no	—
74	#525×C₆₇	—	2	1	no	—
75	#525×C₆₇	C₂²	1	1	yes	characteristic
76	#525×C₆₇	C₂²	1	1	yes	characteristic
77	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
78	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
81	#520×C₆₇	—	2	1	no	—
82	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic
83	C₂×C₄×D₄×C₆₇	—	2	1	no	—
84	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
85	#497×C₆₇	C₂²	1	1	yes	characteristic, complemented
86	#497×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#497×C₆₇	C₂²	1	1	yes	characteristic, complemented
88	#496×C₆₇	C₂²	1	1	yes	characteristic, complemented
89	#491×C₆₇	C₂²	1	1	yes	characteristic, complemented
90	#490×C₆₇	C₂²	1	1	yes	characteristic, complemented
91	#489×C₆₇	C₂²	1	1	yes	characteristic, complemented
92	#489×C₆₇	C₂²	1	1	yes	characteristic, complemented
93	#485×C₆₇	C₂²	1	1	yes	characteristic, complemented
94	#485×C₆₇	C₂²	1	1	yes	characteristic, complemented
95	#485×C₆₇	C₂²	1	1	yes	characteristic, complemented
96	#485×C₆₇	C₂²	1	1	yes	characteristic, complemented
97	#485×C₆₇	C₂²	1	1	yes	characteristic, complemented
98	#484×C₆₇	C₂²	1	1	yes	characteristic, complemented
99	#483×C₆₇	C₂²	1	1	yes	characteristic, complemented
100	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
101	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
102	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
103	#481×C₆₇	C₂²	1	1	yes	characteristic, complemented
104	#480×C₆₇	C₂²	1	1	yes	characteristic, complemented
105	#479×C₆₇	C₂²	1	1	yes	characteristic, complemented
106	#478×C₆₇	C₂²	1	1	yes	characteristic, complemented
107	#477×C₆₇	C₂²	1	1	yes	characteristic, complemented
108	#476×C₆₇	C₂²	1	1	yes	characteristic, complemented
109	#470×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#470×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#470×C₆₇	C₂²	1	1	yes	characteristic, complemented
112	#469×C₆₇	C₂²	1	1	yes	characteristic, complemented
113	#468×C₆₇	C₂²	1	1	yes	characteristic, complemented
114	#468×C₆₇	C₂²	1	1	yes	characteristic, complemented
115	#468×C₆₇	C₂²	1	1	yes	characteristic, complemented
116	#468×C₆₇	C₂²	1	1	yes	characteristic, complemented
117	#467×C₆₇	C₂²	1	1	yes	characteristic, complemented
118	#467×C₆₇	C₂²	1	1	yes	characteristic, complemented
119	#467×C₆₇	C₂²	1	1	yes	characteristic, complemented
120	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
121	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
122	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
123	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
124	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
125	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
126	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
128	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
129	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
130	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
131	#462×C₆₇	C₂²	1	1	yes	characteristic, complemented
132	#462×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#462×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#461×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#452×C₆₇	C₂²	1	1	yes	characteristic
138	#452×C₆₇	C₂²	1	1	yes	characteristic
139	#452×C₆₇	C₂²	1	1	yes	characteristic
140	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
141	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
142	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
144	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
148	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
149	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
152	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
153	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
154	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
155	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
156	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
157	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
158	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
160	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
161	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
162	#449×C₆₇	C₂²	1	1	yes	characteristic
163	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
164	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
165	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
166	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
168	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
170	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
171	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
173	#442×C₆₇	C₂²	1	1	yes	characteristic, complemented
174	#441×C₆₇	C₂²	1	1	yes	characteristic, complemented
175	#441×C₆₇	C₂²	1	1	yes	characteristic, complemented
176	#441×C₆₇	C₂²	1	1	yes	characteristic, complemented
177	#440×C₆₇	C₂²	1	1	yes	characteristic, complemented
178	#440×C₆₇	C₂²	1	1	yes	characteristic, complemented
179	#440×C₆₇	C₂²	1	1	yes	characteristic, complemented
180	#440×C₆₇	C₂²	1	1	yes	characteristic, complemented
181	#435×C₆₇	C₂²	1	1	yes	characteristic
182	#435×C₆₇	C₂²	1	1	yes	characteristic
183	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
184	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
186	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
187	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
188	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
189	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
190	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
191	#419×C₆₇	C₂²	1	1	yes	characteristic, complemented
192	#418×C₆₇	C₂²	1	1	yes	characteristic, complemented
193	#417×C₆₇	C₂²	1	1	yes	characteristic, complemented
194	#417×C₆₇	C₂²	1	1	yes	characteristic, complemented
195	#416×C₆₇	C₂²	1	1	yes	characteristic, complemented
196	#416×C₆₇	C₂²	1	1	yes	characteristic, complemented
197	C₂×#103×C₆₇	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102×C₆₇	C₂²	1	1	yes	characteristic, complemented
199	#407×C₆₇	C₂²	1	1	yes	characteristic, complemented
200	#407×C₆₇	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₆₇	—	2	1	no	—
204	C₂×#41×C₆₇	—	2	1	no	—
205	C₂×#41×C₆₇	—	2	1	no	—
206	C₂×#41×C₆₇	—	2	1	no	—
207	C₂×#41×C₆₇	—	2	1	no	—
208	C₂×#41×C₆₇	—	4	2	no	—
209	C₂×#41×C₆₇	—	4	2	no	—
210	C₂×#41×C₆₇	—	4	2	no	—
211	C₂×#41×C₆₇	—	4	2	no	—
212	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
213	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
214	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
215	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
216	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
217	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
218	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
219	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
220	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
222	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
223	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
224	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₆₇	—	2	1	no	—
226	C₂²×D₄×C₆₇	—	2	1	no	—
227	C₂²×D₄×C₆₇	—	2	1	no	—
228	C₂²×D₄×C₆₇	D₄	1	1	yes	characteristic
229	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
230	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₆₇	—	2	1	no	—
232	C₂³×C₄×C₆₇	—	2	1	no	—
233	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
234	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
235	#137×C₆₇	—	4	2	no	—
236	#137×C₆₇	—	4	2	no	—
237	#137×C₆₇	—	4	2	no	—
238	AGL(1,ℤ/8)×C₆₇	—	4	2	no	—
239	#135×C₆₇	—	4	2	no	—
240	#135×C₆₇	—	4	2	no	—
241	C₂×Q₁₆×C₆₇	—	4	2	no	—
242	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
243	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
244	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
245	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
246	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
247	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
248	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
249	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
250	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆×C₆₇	—	4	2	no	—
252	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
253	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
254	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
255	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
256	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
257	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
258	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
259	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
260	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
261	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
262	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
263	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
264	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
265	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
266	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
267	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
268	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
269	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
270	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
273	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
275	C₄⋊Q₈×C₆₇	—	2	1	no	—
276	C₄⋊Q₈×C₆₇	—	2	1	no	—
277	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
278	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
279	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
280	#127×C₆₇	—	2	1	no	—
281	#127×C₆₇	C₂³	1	1	yes	characteristic
282	#126×C₆₇	—	2	1	no	—
283	#126×C₆₇	—	2	1	no	—
284	#126×C₆₇	—	2	1	no	—
285	#126×C₆₇	—	2	1	no	—
286	#126×C₆₇	—	2	1	no	—
287	#125×C₆₇	—	2	1	no	—
288	#125×C₆₇	—	2	1	no	—
289	#125×C₆₇	—	2	1	no	—
290	#125×C₆₇	C₂³	1	1	yes	characteristic
291	#124×C₆₇	—	2	1	no	—
292	#124×C₆₇	—	2	1	no	—
293	#124×C₆₇	—	2	1	no	—
294	#124×C₆₇	—	2	1	no	—
295	#124×C₆₇	—	2	1	no	—
296	#124×C₆₇	C₂³	1	1	yes	characteristic
297	#124×C₆₇	C₂³	1	1	yes	characteristic
298	#124×C₆₇	C₂³	1	1	yes	characteristic
299	#123×C₆₇	—	2	1	no	—
300	#123×C₆₇	—	2	1	no	—
301	#123×C₆₇	—	2	1	no	—
302	#123×C₆₇	—	2	1	no	—
303	#123×C₆₇	—	2	1	no	—
304	#123×C₆₇	—	2	1	no	—
305	#123×C₆₇	—	2	1	no	—
306	#123×C₆₇	—	2	1	no	—
307	#123×C₆₇	—	2	1	no	—
308	#123×C₆₇	—	2	1	no	—
309	#123×C₆₇	—	2	1	no	—
310	#123×C₆₇	—	2	1	no	—
311	#123×C₆₇	—	2	1	no	—
312	#123×C₆₇	—	2	1	no	—
313	#123×C₆₇	—	2	1	no	—
314	C₂²⋊Q₈×C₆₇	—	2	1	no	—
315	C₂²⋊Q₈×C₆₇	—	2	1	no	—
316	C₂²⋊Q₈×C₆₇	—	2	1	no	—
317	C₂²⋊Q₈×C₆₇	—	2	1	no	—
318	C₂²⋊Q₈×C₆₇	—	2	1	no	—
319	C₂²⋊Q₈×C₆₇	—	2	1	no	—
320	C₂²⋊Q₈×C₆₇	—	2	1	no	—
321	C₂²⋊Q₈×C₆₇	—	2	1	no	—
322	C₂²⋊Q₈×C₆₇	—	2	1	no	—
323	C₂²⋊Q₈×C₆₇	—	2	1	no	—
324	C₂²⋊Q₈×C₆₇	—	2	1	no	—
325	C₂²⋊Q₈×C₆₇	—	2	1	no	—
326	C₂²⋊Q₈×C₆₇	—	2	1	no	—
327	C₂²⋊Q₈×C₆₇	—	2	1	no	—
328	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
329	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
330	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
331	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
332	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
333	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
334	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
335	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
336	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
337	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
338	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
339	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
340	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
341	#121×C₆₇	—	2	1	no	—
342	#121×C₆₇	—	2	1	no	—
343	#121×C₆₇	—	2	1	no	—
344	#121×C₆₇	—	2	1	no	—
345	#121×C₆₇	—	2	1	no	—
346	#121×C₆₇	—	2	1	no	—
347	#121×C₆₇	—	2	1	no	—
348	#121×C₆₇	—	2	1	no	—
349	#121×C₆₇	—	2	1	no	—
350	#121×C₆₇	—	2	1	no	—
351	#121×C₆₇	—	2	1	no	—
352	#121×C₆₇	—	2	1	no	—
353	#121×C₆₇	—	2	1	no	—
354	#121×C₆₇	C₂³	1	1	yes	characteristic
355	#121×C₆₇	C₂³	1	1	yes	characteristic
356	#121×C₆₇	C₂³	1	1	yes	characteristic
357	#121×C₆₇	C₂³	1	1	yes	characteristic
358	#121×C₆₇	C₂³	1	1	yes	characteristic
359	#121×C₆₇	C₂³	1	1	yes	characteristic
360	#121×C₆₇	C₂³	1	1	yes	characteristic
361	#120×C₆₇	—	2	1	no	—
362	#120×C₆₇	—	2	1	no	—
363	#120×C₆₇	—	2	1	no	—
364	#120×C₆₇	—	2	1	no	—
365	#120×C₆₇	—	2	1	no	—
366	#120×C₆₇	—	2	1	no	—
367	#120×C₆₇	—	2	1	no	—
368	#120×C₆₇	—	2	1	no	—
369	C₄×Q₈×C₆₇	—	2	1	no	—
370	C₄×Q₈×C₆₇	—	2	1	no	—
371	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₆₇	—	2	1	no	—
377	C₄×D₄×C₆₇	—	2	1	no	—
378	C₄×D₄×C₆₇	—	2	1	no	—
379	C₄×D₄×C₆₇	—	2	1	no	—
380	C₄×D₄×C₆₇	—	2	1	no	—
381	C₄×D₄×C₆₇	—	2	1	no	—
382	C₄×D₄×C₆₇	—	2	1	no	—
383	C₄×D₄×C₆₇	—	2	1	no	—
384	C₄×D₄×C₆₇	—	2	1	no	—
385	C₄×D₄×C₆₇	—	2	1	no	—
386	C₄×D₄×C₆₇	—	2	1	no	—
387	C₄×D₄×C₆₇	—	2	1	no	—
388	C₄×D₄×C₆₇	—	2	1	no	—
389	C₄×D₄×C₆₇	—	2	1	no	—
390	C₄×D₄×C₆₇	—	2	1	no	—
391	C₄×D₄×C₆₇	—	2	1	no	—
392	C₄×D₄×C₆₇	—	2	1	no	—
393	C₄×D₄×C₆₇	—	2	1	no	—
394	C₄×D₄×C₆₇	—	2	1	no	—
395	C₄×D₄×C₆₇	—	2	1	no	—
396	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
397	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
398	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
399	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
400	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
403	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
404	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
405	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
406	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
407	#117×C₆₇	—	2	1	no	—
408	#117×C₆₇	—	2	1	no	—
409	#117×C₆₇	—	2	1	no	—
410	#117×C₆₇	—	2	1	no	—
411	#117×C₆₇	—	2	1	no	—
412	#117×C₆₇	C₂³	1	1	yes	characteristic
413	#117×C₆₇	C₂³	1	1	yes	characteristic
414	#117×C₆₇	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
416	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
417	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
418	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
419	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
420	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
421	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
422	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
423	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
424	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
425	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
426	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
427	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
428	C₂×C₄²×C₆₇	—	2	1	no	—
429	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
430	#107×C₆₇	C₂³	1	1	yes	characteristic
431	#107×C₆₇	C₂³	1	1	yes	characteristic
432	#107×C₆₇	C₂³	1	1	yes	characteristic
433	#107×C₆₇	C₂³	1	1	yes	characteristic
434	#106×C₆₇	C₂³	1	1	yes	characteristic
435	#106×C₆₇	C₂³	1	1	yes	characteristic
436	#106×C₆₇	C₂³	1	1	yes	characteristic
437	#106×C₆₇	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
440	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
441	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
442	#103×C₆₇	C₂³	1	1	yes	characteristic
443	#103×C₆₇	C₂³	1	1	yes	characteristic
444	#103×C₆₇	C₂³	1	1	yes	characteristic
445	#103×C₆₇	C₂³	1	1	yes	characteristic
446	#103×C₆₇	C₂³	1	1	yes	characteristic
447	#103×C₆₇	C₂³	1	1	yes	characteristic
448	#103×C₆₇	C₂³	1	1	yes	characteristic
449	#103×C₆₇	C₂³	1	1	yes	characteristic
450	#103×C₆₇	C₂³	1	1	yes	characteristic
451	#103×C₆₇	C₂³	1	1	yes	characteristic
452	#103×C₆₇	C₂³	1	1	yes	characteristic
453	#103×C₆₇	C₂³	1	1	yes	characteristic
454	#103×C₆₇	C₂³	1	1	yes	characteristic
455	#103×C₆₇	C₂³	1	1	yes	characteristic
456	#103×C₆₇	C₂³	1	1	yes	characteristic
457	#103×C₆₇	C₂³	1	1	yes	characteristic
458	#103×C₆₇	C₂³	1	1	yes	characteristic
459	#103×C₆₇	C₂³	1	1	yes	characteristic
460	#102×C₆₇	C₂³	1	1	yes	characteristic
461	#102×C₆₇	C₂³	1	1	yes	characteristic
462	#102×C₆₇	C₂³	1	1	yes	characteristic
463	#102×C₆₇	C₂³	1	1	yes	characteristic
464	#102×C₆₇	C₂³	1	1	yes	characteristic
465	#102×C₆₇	C₂³	1	1	yes	characteristic
466	#102×C₆₇	C₂³	1	1	yes	characteristic
467	#102×C₆₇	C₂³	1	1	yes	characteristic
468	#102×C₆₇	C₂³	1	1	yes	characteristic
469	#102×C₆₇	C₂³	1	1	yes	characteristic
470	#102×C₆₇	C₂³	1	1	yes	characteristic
471	#102×C₆₇	C₂³	1	1	yes	characteristic
472	#102×C₆₇	C₂³	1	1	yes	characteristic
473	#102×C₆₇	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
478	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
480	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
481	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
482	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
483	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
484	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
485	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
486	#97×C₆₇	C₂³	1	1	yes	characteristic
487	#97×C₆₇	C₂³	1	1	yes	characteristic
488	#97×C₆₇	C₂³	1	1	yes	characteristic
489	#97×C₆₇	C₂³	1	1	yes	characteristic
490	C₂⁴×C₆₇	—	2	1	no	—
491	C₂⁴×C₆₇	—	2	1	no	—
492	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
493	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
494	#41×C₆₇	—	2	2	no	—
495	#41×C₆₇	—	2	2	no	—
496	#41×C₆₇	—	2	2	no	—
497	#41×C₆₇	—	2	2	no	—
498	#41×C₆₇	—	2	2	no	—
499	#41×C₆₇	—	2	2	no	—
500	#41×C₆₇	—	4	1	no	—
501	#41×C₆₇	—	4	1	no	—
502	#41×C₆₇	—	4	1	no	—
503	#41×C₆₇	—	4	1	no	—
504	#41×C₆₇	—	4	1	no	—
505	#41×C₆₇	—	4	1	no	—
506	#41×C₆₇	—	4	1	no	—
507	#41×C₆₇	—	4	1	no	—
508	#41×C₆₇	—	4	4	no	—
509	#41×C₆₇	—	4	4	no	—
510	#41×C₆₇	—	4	1	no	—
511	#41×C₆₇	—	4	1	no	—
512	#41×C₆₇	—	4	1	no	—
513	#41×C₆₇	—	4	1	no	—
514	#41×C₆₇	—	4	4	no	—
515	#41×C₆₇	—	4	4	no	—
516	#41×C₆₇	—	4	4	no	—
517	C₂×Q₈×C₆₇	—	2	1	no	—
518	C₂×Q₈×C₆₇	—	2	1	no	—
519	C₂×Q₈×C₆₇	—	2	1	no	—
520	C₂×Q₈×C₆₇	—	2	1	no	—
521	C₂×Q₈×C₆₇	—	2	1	no	—
522	C₂×Q₈×C₆₇	—	2	2	no	—
523	C₂×Q₈×C₆₇	—	2	2	no	—
524	C₂×Q₈×C₆₇	—	4	1	no	—
525	C₂×Q₈×C₆₇	—	4	1	no	—
526	C₂×Q₈×C₆₇	—	4	1	no	—
527	C₂×Q₈×C₆₇	—	4	1	no	—
528	C₂×Q₈×C₆₇	—	4	1	no	—
529	C₂×Q₈×C₆₇	—	4	1	no	—
530	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
531	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
532	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
533	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₆₇	—	2	1	no	—
537	C₂×D₄×C₆₇	—	2	2	no	—
538	C₂×D₄×C₆₇	—	2	2	no	—
539	C₂×D₄×C₆₇	—	2	1	no	—
540	C₂×D₄×C₆₇	—	2	1	no	—
541	C₂×D₄×C₆₇	—	2	1	no	—
542	C₂×D₄×C₆₇	—	2	1	no	—
543	C₂×D₄×C₆₇	—	2	1	no	—
544	C₂×D₄×C₆₇	—	2	1	no	—
545	C₂×D₄×C₆₇	—	2	1	no	—
546	C₂×D₄×C₆₇	—	2	1	no	—
547	C₂×D₄×C₆₇	—	2	1	no	—
548	C₂×D₄×C₆₇	—	2	1	no	—
549	C₂×D₄×C₆₇	—	2	1	no	—
550	C₂×D₄×C₆₇	—	2	1	no	—
551	C₂×D₄×C₆₇	—	2	1	no	—
552	C₂×D₄×C₆₇	—	2	1	no	—
553	C₂×D₄×C₆₇	—	2	1	no	—
554	C₂×D₄×C₆₇	—	2	1	no	—
555	C₂×D₄×C₆₇	—	2	1	no	—
556	C₂×D₄×C₆₇	—	2	1	no	—
557	C₂×D₄×C₆₇	—	2	1	no	—
558	C₂×D₄×C₆₇	—	4	1	no	—
559	C₂×D₄×C₆₇	—	4	1	no	—
560	C₂×D₄×C₆₇	—	4	2	no	—
561	C₂×D₄×C₆₇	—	4	4	no	—
562	C₂×D₄×C₆₇	—	4	4	no	—
563	C₂×D₄×C₆₇	—	4	4	no	—
564	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
565	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
566	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
567	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
568	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
569	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
570	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
571	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₆₇	—	2	1	no	—
573	C₂²×C₄×C₆₇	—	2	1	no	—
574	C₂²×C₄×C₆₇	—	2	1	no	—
575	C₂²×C₄×C₆₇	—	2	1	no	—
576	C₂²×C₄×C₆₇	—	2	1	no	—
577	C₂²×C₄×C₆₇	—	2	1	no	—
578	C₂²×C₄×C₆₇	—	2	1	no	—
579	C₂²×C₄×C₆₇	—	2	1	no	—
580	C₂²×C₄×C₆₇	—	2	1	no	—
581	C₂²×C₄×C₆₇	—	2	1	no	—
582	C₂²×C₄×C₆₇	—	2	1	no	—
583	C₂²×C₄×C₆₇	—	2	1	no	—
584	C₂²×C₄×C₆₇	—	2	1	no	—
585	C₂²×C₄×C₆₇	—	2	1	no	—
586	C₂²×C₄×C₆₇	—	2	1	no	—
587	C₂²×C₄×C₆₇	—	2	1	no	—
588	C₂²×C₄×C₆₇	—	2	1	no	—
589	C₂²×C₄×C₆₇	—	2	1	no	—
590	C₂²×C₄×C₆₇	—	4	1	no	—
591	C₂²×C₄×C₆₇	—	4	1	no	—
592	C₂²×C₄×C₆₇	—	4	1	no	—
593	C₂²×C₄×C₆₇	—	4	1	no	—
594	C₂²×C₄×C₆₇	—	4	4	no	—
595	C₂²×C₄×C₆₇	—	4	4	no	—
596	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
597	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
598	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
599	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
600	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
601	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
602	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
603	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
604	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
609	Q₁₆×C₆₇	—	2	2	no	—
610	Q₁₆×C₆₇	—	2	2	no	—
611	Q₁₆×C₆₇	—	2	2	no	—
612	Q₁₆×C₆₇	—	4	1	no	—
613	Q₁₆×C₆₇	—	4	1	no	—
614	Q₁₆×C₆₇	—	4	1	no	—
615	Q₁₆×C₆₇	—	4	1	no	—
616	Q₁₆×C₆₇	—	4	1	no	—
617	Q₁₆×C₆₇	—	4	1	no	—
618	SD₁₆×C₆₇	—	2	2	no	—
619	SD₁₆×C₆₇	—	2	2	no	—
620	SD₁₆×C₆₇	—	2	2	no	—
621	SD₁₆×C₆₇	—	2	2	no	—
622	SD₁₆×C₆₇	—	4	1	no	—
623	SD₁₆×C₆₇	—	4	1	no	—
624	SD₁₆×C₆₇	—	4	1	no	—
625	SD₁₆×C₆₇	—	4	1	no	—
626	SD₁₆×C₆₇	—	4	1	no	—
627	SD₁₆×C₆₇	—	4	1	no	—
628	SD₁₆×C₆₇	—	4	1	no	—
629	SD₁₆×C₆₇	—	4	1	no	—
630	D₈×C₆₇	—	2	2	no	—
631	D₈×C₆₇	—	4	1	no	—
632	D₈×C₆₇	—	4	1	no	—
633	M₁₆×C₆₇	—	4	1	no	—
634	M₁₆×C₆₇	—	4	1	no	—
635	M₁₆×C₆₇	—	4	1	no	—
636	M₁₆×C₆₇	—	4	1	no	—
637	C₂×C₈×C₆₇	—	4	1	no	—
638	C₂×C₈×C₆₇	—	4	1	no	—
639	C₂×C₈×C₆₇	—	4	1	no	—
640	C₂×C₈×C₆₇	—	4	1	no	—
641	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
642	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
643	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
644	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
645	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
646	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
647	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
648	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
649	C₄⋊C₄×C₆₇	—	2	1	no	—
650	C₄⋊C₄×C₆₇	—	2	1	no	—
651	C₄⋊C₄×C₆₇	—	2	1	no	—
652	C₄⋊C₄×C₆₇	—	2	1	no	—
653	C₄⋊C₄×C₆₇	—	2	1	no	—
654	C₄⋊C₄×C₆₇	—	2	1	no	—
655	C₄⋊C₄×C₆₇	—	2	1	no	—
656	C₄⋊C₄×C₆₇	—	2	1	no	—
657	C₄⋊C₄×C₆₇	—	2	1	no	—
658	C₄⋊C₄×C₆₇	—	2	1	no	—
659	C₄⋊C₄×C₆₇	—	2	1	no	—
660	C₄⋊C₄×C₆₇	—	2	1	no	—
661	C₄⋊C₄×C₆₇	—	2	1	no	—
662	C₄⋊C₄×C₆₇	—	2	1	no	—
663	C₄⋊C₄×C₆₇	—	2	1	no	—
664	C₄⋊C₄×C₆₇	—	2	1	no	—
665	C₄⋊C₄×C₆₇	—	2	1	no	—
666	C₄⋊C₄×C₆₇	—	2	1	no	—
667	C₄⋊C₄×C₆₇	—	2	1	no	—
668	C₄⋊C₄×C₆₇	—	2	1	no	—
669	C₄⋊C₄×C₆₇	—	2	1	no	—
670	C₄⋊C₄×C₆₇	—	2	1	no	—
671	C₄⋊C₄×C₆₇	—	2	1	no	—
672	C₄⋊C₄×C₆₇	—	2	1	no	—
673	C₄⋊C₄×C₆₇	—	2	1	no	—
674	C₄⋊C₄×C₆₇	—	2	1	no	—
675	C₄⋊C₄×C₆₇	—	2	1	no	—
676	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
677	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
678	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
679	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
680	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
681	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
682	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
683	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
684	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
685	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
686	C₂²⋊C₄×C₆₇	—	2	1	no	—
687	C₂²⋊C₄×C₆₇	—	2	1	no	—
688	C₂²⋊C₄×C₆₇	—	2	1	no	—
689	C₂²⋊C₄×C₆₇	—	2	1	no	—
690	C₂²⋊C₄×C₆₇	—	2	1	no	—
691	C₂²⋊C₄×C₆₇	—	2	1	no	—
692	C₂²⋊C₄×C₆₇	—	2	1	no	—
693	C₂²⋊C₄×C₆₇	—	2	1	no	—
694	C₂²⋊C₄×C₆₇	—	2	1	no	—
695	C₂²⋊C₄×C₆₇	—	2	1	no	—
696	C₂²⋊C₄×C₆₇	—	2	1	no	—
697	C₂²⋊C₄×C₆₇	—	2	1	no	—
698	C₂²⋊C₄×C₆₇	—	2	1	no	—
699	C₂²⋊C₄×C₆₇	—	2	1	no	—
700	C₂²⋊C₄×C₆₇	—	2	1	no	—
701	C₂²⋊C₄×C₆₇	—	2	1	no	—
702	C₂²⋊C₄×C₆₇	—	2	1	no	—
703	C₂²⋊C₄×C₆₇	—	2	1	no	—
704	C₂²⋊C₄×C₆₇	—	2	1	no	—
705	C₂²⋊C₄×C₆₇	—	2	1	no	—
706	C₂²⋊C₄×C₆₇	—	2	1	no	—
707	C₂²⋊C₄×C₆₇	—	2	1	no	—
708	C₂²⋊C₄×C₆₇	—	2	1	no	—
709	C₂²⋊C₄×C₆₇	—	2	1	no	—
710	C₂²⋊C₄×C₆₇	—	2	1	no	—
711	C₂²⋊C₄×C₆₇	—	2	1	no	—
712	C₂²⋊C₄×C₆₇	—	2	1	no	—
713	C₂²⋊C₄×C₆₇	—	2	1	no	—
714	C₂²⋊C₄×C₆₇	—	2	1	no	—
715	C₂²⋊C₄×C₆₇	—	2	1	no	—
716	C₂²⋊C₄×C₆₇	—	2	1	no	—
717	C₂²⋊C₄×C₆₇	—	2	1	no	—
718	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
719	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
720	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
721	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
722	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
723	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
724	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
725	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
726	C₄²×C₆₇	—	2	1	no	—
727	C₄²×C₆₇	—	2	1	no	—
728	C₄²×C₆₇	—	2	1	no	—
729	C₄²×C₆₇	—	2	1	no	—
730	C₄²×C₆₇	—	2	1	no	—
731	C₄²×C₆₇	—	2	1	no	—
732	C₄²×C₆₇	—	2	1	no	—
733	C₄²×C₆₇	—	2	1	no	—
734	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
735	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
736	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
737	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
738	C₂³×C₆₇	—	2	1	no	—
739	C₂³×C₆₇	—	2	2	no	—
740	C₂³×C₆₇	—	2	1	no	—
741	C₂³×C₆₇	—	2	1	no	—
742	C₂³×C₆₇	—	2	1	no	—
743	C₂³×C₆₇	—	4	1	no	—
744	C₂³×C₆₇	—	4	1	no	—
745	C₂³×C₆₇	—	4	1	no	—
746	C₂³×C₆₇	—	4	1	no	—
747	C₂³×C₆₇	—	4	1	no	—
748	C₂³×C₆₇	—	4	2	no	—
749	C₂³×C₆₇	—	4	2	no	—
750	C₂³×C₆₇	—	4	2	no	—
751	C₂³×C₆₇	—	4	2	no	—
752	C₂³×C₆₇	—	8	1	no	—
753	C₂³×C₆₇	—	8	1	no	—
754	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
756	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
757	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
758	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
759	Q₈×C₆₇	—	2	1	no	—
760	Q₈×C₆₇	—	2	1	no	—
761	Q₈×C₆₇	—	2	1	no	—
762	Q₈×C₆₇	—	2	1	no	—
763	Q₈×C₆₇	—	2	1	no	—
764	Q₈×C₆₇	—	2	1	no	—
765	Q₈×C₆₇	—	2	1	no	—
766	Q₈×C₆₇	—	2	1	no	—
767	Q₈×C₆₇	—	2	1	no	—
768	Q₈×C₆₇	—	2	1	no	—
769	Q₈×C₆₇	—	2	1	no	—
770	Q₈×C₆₇	—	4	2	no	—
771	Q₈×C₆₇	—	4	2	no	—
772	Q₈×C₆₇	—	4	2	no	—
773	Q₈×C₆₇	—	8	1	no	—
774	Q₈×C₆₇	—	8	1	no	—
775	Q₈×C₆₇	H(5,𝔽₂)	1	2	yes	—
776	D₄×C₆₇	—	2	4	no	—
777	D₄×C₆₇	—	2	2	no	—
778	D₄×C₆₇	—	2	2	no	—
779	D₄×C₆₇	—	2	1	no	—
780	D₄×C₆₇	—	2	1	no	—
781	D₄×C₆₇	—	2	1	no	—
782	D₄×C₆₇	—	2	1	no	—
783	D₄×C₆₇	—	2	1	no	—
784	D₄×C₆₇	—	2	1	no	—
785	D₄×C₆₇	—	2	1	no	—
786	D₄×C₆₇	—	4	1	no	—
787	D₄×C₆₇	—	4	1	no	—
788	D₄×C₆₇	—	4	2	no	—
789	D₄×C₆₇	—	4	2	no	—
790	D₄×C₆₇	—	4	2	no	—
791	D₄×C₆₇	—	4	2	no	—
792	D₄×C₆₇	—	4	2	no	—
793	D₄×C₆₇	—	4	2	no	—
794	D₄×C₆₇	—	4	2	no	—
795	D₄×C₆₇	—	4	2	no	—
796	D₄×C₆₇	—	4	2	no	—
797	D₄×C₆₇	—	4	2	no	—
798	D₄×C₆₇	—	4	2	no	—
799	D₄×C₆₇	—	4	2	no	—
800	D₄×C₆₇	—	4	2	no	—
801	D₄×C₆₇	—	4	2	no	—
802	D₄×C₆₇	—	8	1	no	—
803	D₄×C₆₇	—	8	1	no	—
804	D₄×C₆₇	—	8	1	no	—
805	D₄×C₆₇	—	8	1	no	—
806	D₄×C₆₇	—	8	1	no	—
807	D₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
808	C₂×C₄×C₆₇	—	2	4	no	—
809	C₂×C₄×C₆₇	—	2	1	no	—
810	C₂×C₄×C₆₇	—	2	1	no	—
811	C₂×C₄×C₆₇	—	2	1	no	—
812	C₂×C₄×C₆₇	—	2	1	no	—
813	C₂×C₄×C₆₇	—	2	1	no	—
814	C₂×C₄×C₆₇	—	2	1	no	—
815	C₂×C₄×C₆₇	—	2	1	no	—
816	C₂×C₄×C₆₇	—	2	1	no	—
817	C₂×C₄×C₆₇	—	2	1	no	—
818	C₂×C₄×C₆₇	—	2	1	no	—
819	C₂×C₄×C₆₇	—	2	1	no	—
820	C₂×C₄×C₆₇	—	2	1	no	—
821	C₂×C₄×C₆₇	—	2	1	no	—
822	C₂×C₄×C₆₇	—	2	1	no	—
823	C₂×C₄×C₆₇	—	2	1	no	—
824	C₂×C₄×C₆₇	—	2	1	no	—
825	C₂×C₄×C₆₇	—	2	1	no	—
826	C₂×C₄×C₆₇	—	2	1	no	—
827	C₂×C₄×C₆₇	—	2	1	no	—
828	C₂×C₄×C₆₇	—	2	1	no	—
829	C₂×C₄×C₆₇	—	2	1	no	—
830	C₂×C₄×C₆₇	—	2	1	no	—
831	C₂×C₄×C₆₇	—	4	1	no	—
832	C₂×C₄×C₆₇	—	4	1	no	—
833	C₂×C₄×C₆₇	—	4	1	no	—
834	C₂×C₄×C₆₇	—	4	1	no	—
835	C₂×C₄×C₆₇	—	4	1	no	—
836	C₂×C₄×C₆₇	—	4	1	no	—
837	C₂×C₄×C₆₇	—	4	1	no	—
838	C₂×C₄×C₆₇	—	4	1	no	—
839	C₂×C₄×C₆₇	—	4	2	no	—
840	C₂×C₄×C₆₇	—	4	2	no	—
841	C₂×C₄×C₆₇	—	4	2	no	—
842	C₂×C₄×C₆₇	—	4	2	no	—
843	C₂×C₄×C₆₇	—	4	2	no	—
844	C₂×C₄×C₆₇	—	4	2	no	—
845	C₂×C₄×C₆₇	—	4	2	no	—
846	C₂×C₄×C₆₇	—	4	2	no	—
847	C₂×C₄×C₆₇	—	4	2	no	—
848	C₂×C₄×C₆₇	—	4	2	no	—
849	C₂×C₄×C₆₇	—	4	2	no	—
850	C₂×C₄×C₆₇	—	4	2	no	—
851	C₂×C₄×C₆₇	—	8	1	no	—
852	C₂×C₄×C₆₇	—	8	1	no	—
853	C₂×C₄×C₆₇	—	8	1	no	—
854	C₂×C₄×C₆₇	—	8	1	no	—
855	C₂×C₄×C₆₇	—	8	1	no	—
856	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
857	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
858	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
859	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
860	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
861	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
862	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
865	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
866	C₈×C₆₇	—	2	1	no	—
867	C₈×C₆₇	—	2	1	no	—
868	C₈×C₆₇	—	2	1	no	—
869	C₈×C₆₇	—	2	1	no	—
870	C₈×C₆₇	—	2	1	no	—
871	C₈×C₆₇	—	2	1	no	—
872	C₈×C₆₇	—	2	1	no	—
873	C₈×C₆₇	—	2	1	no	—
874	C₂²×C₆₇	—	2	1	no	—
875	C₂²×C₆₇	—	2	1	no	—
876	C₂²×C₆₇	—	2	1	no	—
877	C₂²×C₆₇	—	2	1	no	—
878	C₂²×C₆₇	—	2	1	no	—
879	C₂²×C₆₇	—	2	1	no	—
880	C₂²×C₆₇	—	2	1	no	—
881	C₂²×C₆₇	—	2	1	no	—
882	C₂²×C₆₇	—	2	2	no	—
883	C₂²×C₆₇	—	2	1	no	—
884	C₂²×C₆₇	—	2	1	no	—
885	C₂²×C₆₇	—	2	1	no	—
886	C₂²×C₆₇	—	2	1	no	—
887	C₂²×C₆₇	—	2	1	no	—
888	C₂²×C₆₇	—	2	1	no	—
889	C₂²×C₆₇	—	4	1	no	—
890	C₂²×C₆₇	—	4	1	no	—
891	C₂²×C₆₇	—	4	1	no	—
892	C₂²×C₆₇	—	4	1	no	—
893	C₂²×C₆₇	—	4	1	no	—
894	C₂²×C₆₇	—	4	1	no	—
895	C₂²×C₆₇	—	4	1	no	—
896	C₂²×C₆₇	—	4	1	no	—
897	C₂²×C₆₇	—	4	1	no	—
898	C₂²×C₆₇	—	4	1	no	—
899	C₂²×C₆₇	—	4	1	no	—
900	C₂²×C₆₇	—	8	2	no	—
901	C₂²×C₆₇	—	8	4	no	—
902	C₂²×C₆₇	—	8	2	no	—
903	C₂²×C₆₇	—	8	4	no	—
904	C₂²×C₆₇	#575	1	2	yes	—
905	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
906	C₄×C₆₇	—	2	1	no	—
907	C₄×C₆₇	—	2	1	no	—
908	C₄×C₆₇	—	2	1	no	—
909	C₄×C₆₇	—	2	2	no	—
910	C₄×C₆₇	—	2	1	no	—
911	C₄×C₆₇	—	2	1	no	—
912	C₄×C₆₇	—	2	1	no	—
913	C₄×C₆₇	—	2	1	no	—
914	C₄×C₆₇	—	2	1	no	—
915	C₄×C₆₇	—	2	1	no	—
916	C₄×C₆₇	—	4	1	no	—
917	C₄×C₆₇	—	4	1	no	—
918	C₄×C₆₇	—	4	1	no	—
919	C₄×C₆₇	—	4	1	no	—
920	C₄×C₆₇	—	4	1	no	—
921	C₄×C₆₇	—	4	1	no	—
922	C₄×C₆₇	—	4	1	no	—
923	C₄×C₆₇	—	4	1	no	—
924	C₄×C₆₇	—	4	1	no	—
925	C₄×C₆₇	—	4	1	no	—
926	C₄×C₆₇	—	4	1	no	—
927	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
928	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
929	#61580	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
930	C₂×C₆₇	—	2	2	no	—
931	C₂×C₆₇	—	4	1	no	—
932	C₂×C₆₇	—	4	1	no	—
933	C₂×C₆₇	—	4	1	no	—
934	C₂×C₆₇	—	4	1	no	—
935	C₂×C₆₇	—	4	2	no	—
936	C₂×C₆₇	—	8	1	no	—
937	C₂×C₆₇	—	8	1	no	—
938	C₂×C₆₇	—	8	1	no	—
939	C₂×C₆₇	#3484	1	1	yes	characteristic
940	C₂×C₆₇	C₂×#575	1	1	yes	characteristic
941	C₂×C₆₇	#3586	1	1	yes	characteristic
942	#3520	C₂×C₆₇	1	1	yes	characteristic, complemented
943	D₄×#41	C₂×C₆₇	1	1	yes	characteristic, complemented
944	#3317	C₂×C₆₇	1	1	yes	characteristic, complemented
945	#3315	C₂×C₆₇	1	1	yes	characteristic, complemented
946	#3313	C₂×C₆₇	1	1	yes	characteristic, complemented
947	#3312	C₂×C₆₇	1	1	yes	characteristic, complemented
948	#3311	C₂×C₆₇	1	1	yes	characteristic, complemented
949	#3310	C₂×C₆₇	1	1	yes	characteristic, complemented
950	#3308	C₂×C₆₇	1	1	yes	characteristic, complemented
951	#3306	C₂×C₆₇	1	1	yes	characteristic, complemented
952	#3271	C₂×C₆₇	1	1	yes	characteristic, complemented
953	#3270	C₂×C₆₇	1	1	yes	characteristic, complemented
954	#3270	C₂×C₆₇	1	1	yes	characteristic, complemented
955	#3269	C₂×C₆₇	1	1	yes	characteristic, complemented
956	#3269	C₂×C₆₇	1	1	yes	characteristic, complemented
957	#3267	C₂×C₆₇	1	1	yes	characteristic, complemented
958	#3266	C₂×C₆₇	1	1	yes	characteristic, complemented
959	#3265	C₂×C₆₇	1	1	yes	characteristic, complemented
960	#3219	C₂×C₆₇	1	1	yes	characteristic, complemented
961	#3216	C₂×C₆₇	1	1	yes	characteristic, complemented
962	#3197	C₂×C₆₇	1	1	yes	characteristic, complemented
963	#3196	C₂×C₆₇	1	1	yes	characteristic, complemented
964	#3191	C₂×C₆₇	1	1	yes	characteristic, complemented
965	#3190	C₂×C₆₇	1	1	yes	characteristic, complemented
966	#3116	C₂×C₆₇	1	1	yes	characteristic, complemented
967	#3111	C₂×C₆₇	1	1	yes	characteristic, complemented
968	#3007	C₂×C₆₇	1	1	yes	characteristic, complemented
969	#3005	C₂×C₆₇	1	1	yes	characteristic, complemented
970	#3002	C₂×C₆₇	1	1	yes	characteristic, complemented
971	C₂×#452	C₂×C₆₇	1	1	yes	characteristic, complemented
972	#2973	C₂×C₆₇	1	1	yes	characteristic, complemented
973	C₆₇	#61580	1	1	yes	characteristic, direct product factor, Sylow
974	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
975	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
976	C₂×#137	C₂²×C₆₇	1	1	yes	characteristic, complemented
977	C₂×#137	C₂²×C₆₇	1	1	yes	characteristic, complemented
978	C₂×#137	C₂²×C₆₇	1	1	yes	characteristic, complemented
979	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	1	yes	characteristic, complemented
980	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic, complemented
981	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic, complemented
982	C₂²×Q₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
983	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
984	#556	C₂²×C₆₇	1	1	yes	characteristic, complemented
985	#554	—	2	1	no	—
986	#552	C₂²×C₆₇	1	1	yes	characteristic
987	#552	C₂²×C₆₇	1	1	yes	characteristic, complemented
988	#551	—	2	1	no	—
989	#551	—	2	1	no	—
990	#550	C₂²×C₆₇	1	1	yes	characteristic
991	D₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic
992	D₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
993	#548	C₂²×C₆₇	1	1	yes	characteristic
994	#548	C₂²×C₆₇	1	1	yes	characteristic
995	#548	C₂²×C₆₇	1	1	yes	characteristic
996	#548	C₂²×C₆₇	1	1	yes	characteristic, complemented
997	#547	—	2	1	no	—
998	#547	C₂²×C₆₇	1	1	yes	characteristic
999	#547	C₂²×C₆₇	1	1	yes	characteristic, complemented
1000	#547	C₂²×C₆₇	1	1	yes	characteristic, complemented
1001	#546	—	2	1	no	—
1002	#546	—	2	1	no	—
1003	#546	—	2	1	no	—
1004	#546	C₂²×C₆₇	1	1	yes	characteristic
1005	#546	C₂²×C₆₇	1	1	yes	characteristic
1006	D₄²	—	2	1	no	—
1007	D₄²	C₂²×C₆₇	1	1	yes	characteristic
1008	#542	—	2	1	no	—
1009	#539	—	2	1	no	—
1010	#539	—	2	1	no	—
1011	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
1012	#532	—	2	1	no	—
1013	#532	C₂²×C₆₇	1	1	yes	characteristic
1014	#529	C₂²×C₆₇	1	1	yes	characteristic, complemented
1015	#525	—	2	1	no	—
1016	#525	—	2	1	no	—
1017	#525	C₂²×C₆₇	1	1	yes	characteristic
1018	#525	C₂²×C₆₇	1	1	yes	characteristic
1019	#525	C₂²×C₆₇	1	1	yes	characteristic, complemented
1020	#525	C₂²×C₆₇	1	1	yes	characteristic, complemented
1021	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1022	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1023	#520	—	2	1	no	—
1024	C₄×#41	C₂²×C₆₇	1	1	yes	characteristic
1025	C₂×C₄×D₄	—	2	1	no	—
1026	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
1027	#497	C₂²×C₆₇	1	1	yes	characteristic, complemented
1028	#497	C₂²×C₆₇	1	1	yes	characteristic, complemented
1029	#497	C₂²×C₆₇	1	1	yes	characteristic, complemented
1030	#496	C₂²×C₆₇	1	1	yes	characteristic, complemented
1031	#491	C₂²×C₆₇	1	1	yes	characteristic, complemented
1032	#490	C₂²×C₆₇	1	1	yes	characteristic, complemented
1033	#489	C₂²×C₆₇	1	1	yes	characteristic, complemented
1034	#489	C₂²×C₆₇	1	1	yes	characteristic, complemented
1035	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1036	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1037	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1038	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1039	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1040	#484	C₂²×C₆₇	1	1	yes	characteristic, complemented
1041	#483	C₂²×C₆₇	1	1	yes	characteristic, complemented
1042	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1043	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1044	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1045	#481	C₂²×C₆₇	1	1	yes	characteristic, complemented
1046	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
1047	#479	C₂²×C₆₇	1	1	yes	characteristic, complemented
1048	#478	C₂²×C₆₇	1	1	yes	characteristic, complemented
1049	#477	C₂²×C₆₇	1	1	yes	characteristic, complemented
1050	#476	C₂²×C₆₇	1	1	yes	characteristic, complemented
1051	#470	C₂²×C₆₇	1	1	yes	characteristic, complemented
1052	#470	C₂²×C₆₇	1	1	yes	characteristic, complemented
1053	#470	C₂²×C₆₇	1	1	yes	characteristic, complemented
1054	#469	C₂²×C₆₇	1	1	yes	characteristic, complemented
1055	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1056	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1057	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1058	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1059	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
1060	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
1061	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
1062	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1063	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1064	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1065	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1066	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1067	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1068	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1069	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1070	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1071	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1072	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1073	#462	C₂²×C₆₇	1	1	yes	characteristic, complemented
1074	#462	C₂²×C₆₇	1	1	yes	characteristic, complemented
1075	#462	C₂²×C₆₇	1	1	yes	characteristic, complemented
1076	#461	C₂²×C₆₇	1	1	yes	characteristic, complemented
1077	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1078	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1079	#452	C₂²×C₆₇	1	1	yes	characteristic
1080	#452	C₂²×C₆₇	1	1	yes	characteristic
1081	#452	C₂²×C₆₇	1	1	yes	characteristic
1082	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1083	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1084	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1085	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1086	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1087	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1088	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1089	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1090	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1091	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1092	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1093	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1094	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1095	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1096	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1097	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1098	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1099	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1100	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1101	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1102	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1103	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1104	#449	C₂²×C₆₇	1	1	yes	characteristic
1105	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1106	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1107	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1108	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1109	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1110	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1111	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1112	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1113	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1114	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1115	#442	C₂²×C₆₇	1	1	yes	characteristic, complemented
1116	#441	C₂²×C₆₇	1	1	yes	characteristic, complemented
1117	#441	C₂²×C₆₇	1	1	yes	characteristic, complemented
1118	#441	C₂²×C₆₇	1	1	yes	characteristic, complemented
1119	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1120	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1121	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1122	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1123	#435	C₂²×C₆₇	1	1	yes	characteristic
1124	#435	C₂²×C₆₇	1	1	yes	characteristic
1125	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1126	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1127	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1128	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1129	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1130	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1131	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1132	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1133	#419	C₂²×C₆₇	1	1	yes	characteristic, complemented
1134	#418	C₂²×C₆₇	1	1	yes	characteristic, complemented
1135	#417	C₂²×C₆₇	1	1	yes	characteristic, complemented
1136	#417	C₂²×C₆₇	1	1	yes	characteristic, complemented
1137	#416	C₂²×C₆₇	1	1	yes	characteristic, complemented
1138	#416	C₂²×C₆₇	1	1	yes	characteristic, complemented
1139	C₂×#103	C₂²×C₆₇	1	1	yes	characteristic, complemented
1140	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic, complemented
1141	#407	C₂²×C₆₇	1	1	yes	characteristic, complemented
1142	#407	C₂²×C₆₇	1	1	yes	characteristic, complemented
1143	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1144	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1145	C₂×#41	—	2	1	no	—
1146	C₂×#41	—	2	1	no	—
1147	C₂×#41	—	2	1	no	—
1148	C₂×#41	—	2	1	no	—
1149	C₂×#41	—	2	1	no	—
1150	C₂×#41	—	4	2	no	—
1151	C₂×#41	—	4	2	no	—
1152	C₂×#41	—	4	2	no	—
1153	C₂×#41	—	4	2	no	—
1154	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1155	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1156	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1157	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1158	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1159	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1160	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1161	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1162	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1163	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1164	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1165	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1166	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1167	C₂²×D₄	—	2	1	no	—
1168	C₂²×D₄	—	2	1	no	—
1169	C₂²×D₄	—	2	1	no	—
1170	C₂²×D₄	D₄×C₆₇	1	1	yes	characteristic
1171	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1172	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1173	C₂³×C₄	—	2	1	no	—
1174	C₂³×C₄	—	2	1	no	—
1175	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1176	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1177	#137	—	4	2	no	—
1178	#137	—	4	2	no	—
1179	#137	—	4	2	no	—
1180	AGL(1,ℤ/8)	—	4	2	no	—
1181	#135	—	4	2	no	—
1182	#135	—	4	2	no	—
1183	C₂×Q₁₆	—	4	2	no	—
1184	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1185	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1186	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1187	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1188	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1189	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1190	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1191	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1192	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1193	C₂×SD₁₆	—	4	2	no	—
1194	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1195	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1196	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1197	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1198	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1199	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1200	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1201	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1202	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1203	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1204	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1205	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1206	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1207	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1208	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1209	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1210	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1211	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1212	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1213	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1214	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1215	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1216	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1217	C₄⋊Q₈	—	2	1	no	—
1218	C₄⋊Q₈	—	2	1	no	—
1219	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1220	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1221	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1222	#127	—	2	1	no	—
1223	#127	C₂³×C₆₇	1	1	yes	characteristic
1224	#126	—	2	1	no	—
1225	#126	—	2	1	no	—
1226	#126	—	2	1	no	—
1227	#126	—	2	1	no	—
1228	#126	—	2	1	no	—
1229	#125	—	2	1	no	—
1230	#125	—	2	1	no	—
1231	#125	—	2	1	no	—
1232	#125	C₂³×C₆₇	1	1	yes	characteristic
1233	#124	—	2	1	no	—
1234	#124	—	2	1	no	—
1235	#124	—	2	1	no	—
1236	#124	—	2	1	no	—
1237	#124	—	2	1	no	—
1238	#124	C₂³×C₆₇	1	1	yes	characteristic
1239	#124	C₂³×C₆₇	1	1	yes	characteristic
1240	#124	C₂³×C₆₇	1	1	yes	characteristic
1241	#123	—	2	1	no	—
1242	#123	—	2	1	no	—
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	2	1	no	—
1247	#123	—	2	1	no	—
1248	#123	—	2	1	no	—
1249	#123	—	2	1	no	—
1250	#123	—	2	1	no	—
1251	#123	—	2	1	no	—
1252	#123	—	2	1	no	—
1253	#123	—	2	1	no	—
1254	#123	—	2	1	no	—
1255	#123	—	2	1	no	—
1256	C₂²⋊Q₈	—	2	1	no	—
1257	C₂²⋊Q₈	—	2	1	no	—
1258	C₂²⋊Q₈	—	2	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	—	2	1	no	—
1262	C₂²⋊Q₈	—	2	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	2	1	no	—
1265	C₂²⋊Q₈	—	2	1	no	—
1266	C₂²⋊Q₈	—	2	1	no	—
1267	C₂²⋊Q₈	—	2	1	no	—
1268	C₂²⋊Q₈	—	2	1	no	—
1269	C₂²⋊Q₈	—	2	1	no	—
1270	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1273	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1275	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1276	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1277	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1278	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1279	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1280	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1281	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1282	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1283	#121	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	C₂³×C₆₇	1	1	yes	characteristic
1297	#121	C₂³×C₆₇	1	1	yes	characteristic
1298	#121	C₂³×C₆₇	1	1	yes	characteristic
1299	#121	C₂³×C₆₇	1	1	yes	characteristic
1300	#121	C₂³×C₆₇	1	1	yes	characteristic
1301	#121	C₂³×C₆₇	1	1	yes	characteristic
1302	#121	C₂³×C₆₇	1	1	yes	characteristic
1303	#120	—	2	1	no	—
1304	#120	—	2	1	no	—
1305	#120	—	2	1	no	—
1306	#120	—	2	1	no	—
1307	#120	—	2	1	no	—
1308	#120	—	2	1	no	—
1309	#120	—	2	1	no	—
1310	#120	—	2	1	no	—
1311	C₄×Q₈	—	2	1	no	—
1312	C₄×Q₈	—	2	1	no	—
1313	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1314	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1315	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1316	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1317	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1318	C₄×D₄	—	2	1	no	—
1319	C₄×D₄	—	2	1	no	—
1320	C₄×D₄	—	2	1	no	—
1321	C₄×D₄	—	2	1	no	—
1322	C₄×D₄	—	2	1	no	—
1323	C₄×D₄	—	2	1	no	—
1324	C₄×D₄	—	2	1	no	—
1325	C₄×D₄	—	2	1	no	—
1326	C₄×D₄	—	2	1	no	—
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	—	2	1	no	—
1329	C₄×D₄	—	2	1	no	—
1330	C₄×D₄	—	2	1	no	—
1331	C₄×D₄	—	2	1	no	—
1332	C₄×D₄	—	2	1	no	—
1333	C₄×D₄	—	2	1	no	—
1334	C₄×D₄	—	2	1	no	—
1335	C₄×D₄	—	2	1	no	—
1336	C₄×D₄	—	2	1	no	—
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1339	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1340	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1341	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1342	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1343	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1344	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1345	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1346	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1347	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1348	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1349	#117	—	2	1	no	—
1350	#117	—	2	1	no	—
1351	#117	—	2	1	no	—
1352	#117	—	2	1	no	—
1353	#117	—	2	1	no	—
1354	#117	C₂³×C₆₇	1	1	yes	characteristic
1355	#117	C₂³×C₆₇	1	1	yes	characteristic
1356	#117	C₂³×C₆₇	1	1	yes	characteristic
1357	C₂×C₄⋊C₄	—	2	1	no	—
1358	C₂×C₄⋊C₄	—	2	1	no	—
1359	C₂×C₄⋊C₄	—	2	1	no	—
1360	C₂×C₄⋊C₄	—	2	1	no	—
1361	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1362	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1363	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1364	C₂×C₂²⋊C₄	—	2	1	no	—
1365	C₂×C₂²⋊C₄	—	2	1	no	—
1366	C₂×C₂²⋊C₄	—	2	1	no	—
1367	C₂×C₂²⋊C₄	—	2	1	no	—
1368	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1369	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1370	C₂×C₄²	—	2	1	no	—
1371	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1372	#107	C₂³×C₆₇	1	1	yes	characteristic
1373	#107	C₂³×C₆₇	1	1	yes	characteristic
1374	#107	C₂³×C₆₇	1	1	yes	characteristic
1375	#107	C₂³×C₆₇	1	1	yes	characteristic
1376	#106	C₂³×C₆₇	1	1	yes	characteristic
1377	#106	C₂³×C₆₇	1	1	yes	characteristic
1378	#106	C₂³×C₆₇	1	1	yes	characteristic
1379	#106	C₂³×C₆₇	1	1	yes	characteristic
1380	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1381	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1382	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1383	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1384	#103	C₂³×C₆₇	1	1	yes	characteristic
1385	#103	C₂³×C₆₇	1	1	yes	characteristic
1386	#103	C₂³×C₆₇	1	1	yes	characteristic
1387	#103	C₂³×C₆₇	1	1	yes	characteristic
1388	#103	C₂³×C₆₇	1	1	yes	characteristic
1389	#103	C₂³×C₆₇	1	1	yes	characteristic
1390	#103	C₂³×C₆₇	1	1	yes	characteristic
1391	#103	C₂³×C₆₇	1	1	yes	characteristic
1392	#103	C₂³×C₆₇	1	1	yes	characteristic
1393	#103	C₂³×C₆₇	1	1	yes	characteristic
1394	#103	C₂³×C₆₇	1	1	yes	characteristic
1395	#103	C₂³×C₆₇	1	1	yes	characteristic
1396	#103	C₂³×C₆₇	1	1	yes	characteristic
1397	#103	C₂³×C₆₇	1	1	yes	characteristic
1398	#103	C₂³×C₆₇	1	1	yes	characteristic
1399	#103	C₂³×C₆₇	1	1	yes	characteristic
1400	#103	C₂³×C₆₇	1	1	yes	characteristic
1401	#103	C₂³×C₆₇	1	1	yes	characteristic
1402	#102	C₂³×C₆₇	1	1	yes	characteristic
1403	#102	C₂³×C₆₇	1	1	yes	characteristic
1404	#102	C₂³×C₆₇	1	1	yes	characteristic
1405	#102	C₂³×C₆₇	1	1	yes	characteristic
1406	#102	C₂³×C₆₇	1	1	yes	characteristic
1407	#102	C₂³×C₆₇	1	1	yes	characteristic
1408	#102	C₂³×C₆₇	1	1	yes	characteristic
1409	#102	C₂³×C₆₇	1	1	yes	characteristic
1410	#102	C₂³×C₆₇	1	1	yes	characteristic
1411	#102	C₂³×C₆₇	1	1	yes	characteristic
1412	#102	C₂³×C₆₇	1	1	yes	characteristic
1413	#102	C₂³×C₆₇	1	1	yes	characteristic
1414	#102	C₂³×C₆₇	1	1	yes	characteristic
1415	#102	C₂³×C₆₇	1	1	yes	characteristic
1416	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1417	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1418	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1419	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1420	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1421	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1422	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1423	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1424	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1425	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1426	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1427	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1428	#97	C₂³×C₆₇	1	1	yes	characteristic
1429	#97	C₂³×C₆₇	1	1	yes	characteristic
1430	#97	C₂³×C₆₇	1	1	yes	characteristic
1431	#97	C₂³×C₆₇	1	1	yes	characteristic
1432	C₂⁴	—	2	1	no	—
1433	C₂⁴	—	2	1	no	—
1434	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1435	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1436	#41	—	2	2	no	—
1437	#41	—	2	2	no	—
1438	#41	—	2	2	no	—
1439	#41	—	2	2	no	—
1440	#41	—	2	2	no	—
1441	#41	—	2	2	no	—
1442	#41	—	4	1	no	—
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	4	1	no	—
1448	#41	—	4	1	no	—
1449	#41	—	4	1	no	—
1450	#41	—	4	4	no	—
1451	#41	—	4	4	no	—
1452	#41	—	4	1	no	—
1453	#41	—	4	1	no	—
1454	#41	—	4	1	no	—
1455	#41	—	4	1	no	—
1456	#41	—	4	4	no	—
1457	#41	—	4	4	no	—
1458	#41	—	4	4	no	—
1459	C₂×Q₈	—	2	1	no	—
1460	C₂×Q₈	—	2	1	no	—
1461	C₂×Q₈	—	2	1	no	—
1462	C₂×Q₈	—	2	1	no	—
1463	C₂×Q₈	—	2	1	no	—
1464	C₂×Q₈	—	2	2	no	—
1465	C₂×Q₈	—	2	2	no	—
1466	C₂×Q₈	—	4	1	no	—
1467	C₂×Q₈	—	4	1	no	—
1468	C₂×Q₈	—	4	1	no	—
1469	C₂×Q₈	—	4	1	no	—
1470	C₂×Q₈	—	4	1	no	—
1471	C₂×Q₈	—	4	1	no	—
1472	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1473	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1474	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1475	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1476	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1477	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	2	no	—
1480	C₂×D₄	—	2	2	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	4	1	no	—
1501	C₂×D₄	—	4	1	no	—
1502	C₂×D₄	—	4	2	no	—
1503	C₂×D₄	—	4	4	no	—
1504	C₂×D₄	—	4	4	no	—
1505	C₂×D₄	—	4	4	no	—
1506	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1507	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1508	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1509	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1510	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1511	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1512	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1513	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	2	1	no	—
1521	C₂²×C₄	—	2	1	no	—
1522	C₂²×C₄	—	2	1	no	—
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	2	1	no	—
1529	C₂²×C₄	—	2	1	no	—
1530	C₂²×C₄	—	2	1	no	—
1531	C₂²×C₄	—	2	1	no	—
1532	C₂²×C₄	—	4	1	no	—
1533	C₂²×C₄	—	4	1	no	—
1534	C₂²×C₄	—	4	1	no	—
1535	C₂²×C₄	—	4	1	no	—
1536	C₂²×C₄	—	4	4	no	—
1537	C₂²×C₄	—	4	4	no	—
1538	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1539	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1540	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1541	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1542	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1543	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1544	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1545	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1546	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1547	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1548	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1549	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1550	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1551	Q₁₆	—	2	2	no	—
1552	Q₁₆	—	2	2	no	—
1553	Q₁₆	—	2	2	no	—
1554	Q₁₆	—	4	1	no	—
1555	Q₁₆	—	4	1	no	—
1556	Q₁₆	—	4	1	no	—
1557	Q₁₆	—	4	1	no	—
1558	Q₁₆	—	4	1	no	—
1559	Q₁₆	—	4	1	no	—
1560	SD₁₆	—	2	2	no	—
1561	SD₁₆	—	2	2	no	—
1562	SD₁₆	—	2	2	no	—
1563	SD₁₆	—	2	2	no	—
1564	SD₁₆	—	4	1	no	—
1565	SD₁₆	—	4	1	no	—
1566	SD₁₆	—	4	1	no	—
1567	SD₁₆	—	4	1	no	—
1568	SD₁₆	—	4	1	no	—
1569	SD₁₆	—	4	1	no	—
1570	SD₁₆	—	4	1	no	—
1571	SD₁₆	—	4	1	no	—
1572	D₈	—	2	2	no	—
1573	D₈	—	4	1	no	—
1574	D₈	—	4	1	no	—
1575	M₁₆	—	4	1	no	—
1576	M₁₆	—	4	1	no	—
1577	M₁₆	—	4	1	no	—
1578	M₁₆	—	4	1	no	—
1579	C₂×C₈	—	4	1	no	—
1580	C₂×C₈	—	4	1	no	—
1581	C₂×C₈	—	4	1	no	—
1582	C₂×C₈	—	4	1	no	—
1583	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1584	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1585	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1586	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1587	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1588	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1589	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1590	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	2	1	no	—
1607	C₄⋊C₄	—	2	1	no	—
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	2	1	no	—
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1619	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1620	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1621	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1622	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1623	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1624	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1625	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1626	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1627	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1661	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1662	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1663	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1664	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1665	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1666	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1667	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1668	C₄²	—	2	1	no	—
1669	C₄²	—	2	1	no	—
1670	C₄²	—	2	1	no	—
1671	C₄²	—	2	1	no	—
1672	C₄²	—	2	1	no	—
1673	C₄²	—	2	1	no	—
1674	C₄²	—	2	1	no	—
1675	C₄²	—	2	1	no	—
1676	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1677	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1678	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1679	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	2	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	2	1	no	—
1685	C₂³	—	4	1	no	—
1686	C₂³	—	4	1	no	—
1687	C₂³	—	4	1	no	—
1688	C₂³	—	4	1	no	—
1689	C₂³	—	4	1	no	—
1690	C₂³	—	4	2	no	—
1691	C₂³	—	4	2	no	—
1692	C₂³	—	4	2	no	—
1693	C₂³	—	4	2	no	—
1694	C₂³	—	8	1	no	—
1695	C₂³	—	8	1	no	—
1696	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1697	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1698	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1699	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1700	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	2	1	no	—
1709	Q₈	—	2	1	no	—
1710	Q₈	—	2	1	no	—
1711	Q₈	—	2	1	no	—
1712	Q₈	—	4	2	no	—
1713	Q₈	—	4	2	no	—
1714	Q₈	—	4	2	no	—
1715	Q₈	—	8	1	no	—
1716	Q₈	—	8	1	no	—
1717	Q₈	H(5,𝔽₂)×C₆₇	1	2	yes	—
1718	D₄	—	2	4	no	—
1719	D₄	—	2	2	no	—
1720	D₄	—	2	2	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	2	1	no	—
1726	D₄	—	2	1	no	—
1727	D₄	—	2	1	no	—
1728	D₄	—	4	1	no	—
1729	D₄	—	4	1	no	—
1730	D₄	—	4	2	no	—
1731	D₄	—	4	2	no	—
1732	D₄	—	4	2	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	4	2	no	—
1737	D₄	—	4	2	no	—
1738	D₄	—	4	2	no	—
1739	D₄	—	4	2	no	—
1740	D₄	—	4	2	no	—
1741	D₄	—	4	2	no	—
1742	D₄	—	4	2	no	—
1743	D₄	—	4	2	no	—
1744	D₄	—	8	1	no	—
1745	D₄	—	8	1	no	—
1746	D₄	—	8	1	no	—
1747	D₄	—	8	1	no	—
1748	D₄	—	8	1	no	—
1749	D₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1750	C₂×C₄	—	2	4	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	4	1	no	—
1774	C₂×C₄	—	4	1	no	—
1775	C₂×C₄	—	4	1	no	—
1776	C₂×C₄	—	4	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	1	no	—
1780	C₂×C₄	—	4	1	no	—
1781	C₂×C₄	—	4	2	no	—
1782	C₂×C₄	—	4	2	no	—
1783	C₂×C₄	—	4	2	no	—
1784	C₂×C₄	—	4	2	no	—
1785	C₂×C₄	—	4	2	no	—
1786	C₂×C₄	—	4	2	no	—
1787	C₂×C₄	—	4	2	no	—
1788	C₂×C₄	—	4	2	no	—
1789	C₂×C₄	—	4	2	no	—
1790	C₂×C₄	—	4	2	no	—
1791	C₂×C₄	—	4	2	no	—
1792	C₂×C₄	—	4	2	no	—
1793	C₂×C₄	—	8	1	no	—
1794	C₂×C₄	—	8	1	no	—
1795	C₂×C₄	—	8	1	no	—
1796	C₂×C₄	—	8	1	no	—
1797	C₂×C₄	—	8	1	no	—
1798	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1799	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1800	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1801	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1802	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1803	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1804	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1805	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1806	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1807	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	2	1	no	—
1813	C₈	—	2	1	no	—
1814	C₈	—	2	1	no	—
1815	C₈	—	2	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	2	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	8	2	no	—
1843	C₂²	—	8	4	no	—
1844	C₂²	—	8	2	no	—
1845	C₂²	—	8	4	no	—
1846	C₂²	#575×C₆₇	1	2	yes	—
1847	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	2	no	—
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	2	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	4	1	no	—
1862	C₄	—	4	1	no	—
1863	C₄	—	4	1	no	—
1864	C₄	—	4	1	no	—
1865	C₄	—	4	1	no	—
1866	C₄	—	4	1	no	—
1867	C₄	—	4	1	no	—
1868	C₄	—	4	1	no	—
1869	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1870	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1871	C₂	—	2	2	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	4	1	no	—
1874	C₂	—	4	1	no	—
1875	C₂	—	4	1	no	—
1876	C₂	—	4	2	no	—
1877	C₂	—	8	1	no	—
1878	C₂	—	8	1	no	—
1879	C₂	—	8	1	no	—
1880	C₂	C₆₇×#3484	1	1	yes	characteristic
1881	C₂	C₂×#575×C₆₇	1	1	yes	characteristic
1882	C₂	C₆₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₇ ◁ C₂×C₄×D₄×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3520	C₂	semidirect
2. D₄×#41×C₆₇	C₂	semidirect
3. C₆₇×#3317	C₂	semidirect
4. C₆₇×#3315	C₂	semidirect
5. C₆₇×#3313	C₂	semidirect
6. C₆₇×#3312	C₂	semidirect
7. C₆₇×#3311	C₂	semidirect
8. C₆₇×#3310	C₂	semidirect
9. C₆₇×#3308	C₂	semidirect
10. C₆₇×#3306	C₂	semidirect
11. C₆₇×#3271	C₂	semidirect
12. C₆₇×#3270	C₂	semidirect
13. C₆₇×#3270	C₂	semidirect
14. C₆₇×#3269	C₂	semidirect
15. C₆₇×#3269	C₂	semidirect
16. C₆₇×#3267	C₂	semidirect
17. C₆₇×#3266	C₂	semidirect
18. C₆₇×#3265	C₂	semidirect
19. C₆₇×#3219	C₂	semidirect
20. C₆₇×#3216	C₂	semidirect
21. C₆₇×#3197	C₂	semidirect
22. C₆₇×#3196	C₂	semidirect
23. C₆₇×#3191	C₂	semidirect
24. C₆₇×#3190	C₂	semidirect
25. C₆₇×#3116	C₂	semidirect
26. C₆₇×#3111	C₂	semidirect
27. C₆₇×#3007	C₂	semidirect
28. C₆₇×#3005	C₂	semidirect
29. C₆₇×#3002	C₂	semidirect
30. C₂×#452×C₆₇	C₂	semidirect
31. C₆₇×#2973	C₂	semidirect
34. C₂×#137×C₆₇	C₂²	semidirect
35. C₂×#137×C₆₇	C₂²	semidirect
36. C₂×#137×C₆₇	C₂²	semidirect
37. C₂×AGL(1,ℤ/8)×C₆₇	C₂²	semidirect
38. C₂×#135×C₆₇	C₂²	semidirect
39. C₂×#135×C₆₇	C₂²	semidirect
40. C₂²×Q₁₆×C₆₇	C₂²	semidirect
41. C₂²×SD₁₆×C₆₇	C₂²	semidirect
42. #556×C₆₇	C₂²	semidirect
45. #552×C₆₇	C₂²	semidirect
50. D₄×Q₈×C₆₇	C₂²	semidirect
54. #548×C₆₇	C₂²	semidirect
57. #547×C₆₇	C₂²	semidirect
58. #547×C₆₇	C₂²	semidirect
69. #533×C₆₇	C₂²	semidirect
72. #529×C₆₇	C₂²	semidirect
77. #525×C₆₇	C₂²	semidirect
78. #525×C₆₇	C₂²	semidirect
79. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
80. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
85. #497×C₆₇	C₂²	semidirect
86. #497×C₆₇	C₂²	semidirect
87. #497×C₆₇	C₂²	semidirect
88. #496×C₆₇	C₂²	semidirect
89. #491×C₆₇	C₂²	semidirect
90. #490×C₆₇	C₂²	semidirect
91. #489×C₆₇	C₂²	semidirect
92. #489×C₆₇	C₂²	semidirect
93. #485×C₆₇	C₂²	semidirect
94. #485×C₆₇	C₂²	semidirect
95. #485×C₆₇	C₂²	semidirect
96. #485×C₆₇	C₂²	semidirect
97. #485×C₆₇	C₂²	semidirect
98. #484×C₆₇	C₂²	semidirect
99. #483×C₆₇	C₂²	semidirect
100. #482×C₆₇	C₂²	semidirect
101. #482×C₆₇	C₂²	semidirect
102. #482×C₆₇	C₂²	semidirect
103. #481×C₆₇	C₂²	semidirect
104. #480×C₆₇	C₂²	semidirect
105. #479×C₆₇	C₂²	semidirect
106. #478×C₆₇	C₂²	semidirect
107. #477×C₆₇	C₂²	semidirect
108. #476×C₆₇	C₂²	semidirect
109. #470×C₆₇	C₂²	semidirect
110. #470×C₆₇	C₂²	semidirect
111. #470×C₆₇	C₂²	semidirect
112. #469×C₆₇	C₂²	semidirect
113. #468×C₆₇	C₂²	semidirect
114. #468×C₆₇	C₂²	semidirect
115. #468×C₆₇	C₂²	semidirect
116. #468×C₆₇	C₂²	semidirect
117. #467×C₆₇	C₂²	semidirect
118. #467×C₆₇	C₂²	semidirect
119. #467×C₆₇	C₂²	semidirect
120. #466×C₆₇	C₂²	semidirect
121. #465×C₆₇	C₂²	semidirect
122. #465×C₆₇	C₂²	semidirect
123. #465×C₆₇	C₂²	semidirect
124. #465×C₆₇	C₂²	semidirect
125. #464×C₆₇	C₂²	semidirect
126. #464×C₆₇	C₂²	semidirect
127. #464×C₆₇	C₂²	semidirect
128. #463×C₆₇	C₂²	semidirect
129. #463×C₆₇	C₂²	semidirect
130. #463×C₆₇	C₂²	semidirect
131. #462×C₆₇	C₂²	semidirect
132. #462×C₆₇	C₂²	semidirect
133. #462×C₆₇	C₂²	semidirect
134. #461×C₆₇	C₂²	semidirect
135. #460×C₆₇	C₂²	semidirect
136. #460×C₆₇	C₂²	semidirect
140. #452×C₆₇	C₂²	semidirect
141. #452×C₆₇	C₂²	semidirect
142. #452×C₆₇	C₂²	semidirect
143. #452×C₆₇	C₂²	semidirect
144. #452×C₆₇	C₂²	semidirect
145. #452×C₆₇	C₂²	semidirect
146. #452×C₆₇	C₂²	semidirect
147. #452×C₆₇	C₂²	semidirect
148. #452×C₆₇	C₂²	semidirect
149. #452×C₆₇	C₂²	semidirect
150. #452×C₆₇	C₂²	semidirect
151. #452×C₆₇	C₂²	semidirect
152. #452×C₆₇	C₂²	semidirect
153. #452×C₆₇	C₂²	semidirect
154. #451×C₆₇	C₂²	semidirect
155. #451×C₆₇	C₂²	semidirect
156. #451×C₆₇	C₂²	semidirect
157. #451×C₆₇	C₂²	semidirect
158. #451×C₆₇	C₂²	semidirect
159. #450×C₆₇	C₂²	semidirect
160. #450×C₆₇	C₂²	semidirect
161. #450×C₆₇	C₂²	semidirect
163. #449×C₆₇	C₂²	semidirect
164. #449×C₆₇	C₂²	semidirect
165. #449×C₆₇	C₂²	semidirect
166. #449×C₆₇	C₂²	semidirect
167. #449×C₆₇	C₂²	semidirect
168. #449×C₆₇	C₂²	semidirect
169. #448×C₆₇	C₂²	semidirect
170. #448×C₆₇	C₂²	semidirect
171. #448×C₆₇	C₂²	semidirect
172. #447×C₆₇	C₂²	semidirect
173. #442×C₆₇	C₂²	semidirect
174. #441×C₆₇	C₂²	semidirect
175. #441×C₆₇	C₂²	semidirect
176. #441×C₆₇	C₂²	semidirect
177. #440×C₆₇	C₂²	semidirect
178. #440×C₆₇	C₂²	semidirect
179. #440×C₆₇	C₂²	semidirect
180. #440×C₆₇	C₂²	semidirect
183. #435×C₆₇	C₂²	semidirect
184. #435×C₆₇	C₂²	semidirect
185. #435×C₆₇	C₂²	semidirect
186. #435×C₆₇	C₂²	semidirect
187. #435×C₆₇	C₂²	semidirect
188. #435×C₆₇	C₂²	semidirect
189. #432×C₆₇	C₂²	semidirect
190. #432×C₆₇	C₂²	semidirect
191. #419×C₆₇	C₂²	semidirect
192. #418×C₆₇	C₂²	semidirect
193. #417×C₆₇	C₂²	semidirect
194. #417×C₆₇	C₂²	semidirect
195. #416×C₆₇	C₂²	semidirect
196. #416×C₆₇	C₂²	semidirect
197. C₂×#103×C₆₇	C₂²	semidirect
198. C₂×#102×C₆₇	C₂²	semidirect
199. #407×C₆₇	C₂²	semidirect
200. #407×C₆₇	C₂²	semidirect
201. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
202. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
929. #61580	C₆₇	direct (N × H)
942. #3520	C₂×C₆₇	semidirect
943. D₄×#41	C₂×C₆₇	semidirect
944. #3317	C₂×C₆₇	semidirect
945. #3315	C₂×C₆₇	semidirect
946. #3313	C₂×C₆₇	semidirect
947. #3312	C₂×C₆₇	semidirect
948. #3311	C₂×C₆₇	semidirect
949. #3310	C₂×C₆₇	semidirect
950. #3308	C₂×C₆₇	semidirect
951. #3306	C₂×C₆₇	semidirect
952. #3271	C₂×C₆₇	semidirect
953. #3270	C₂×C₆₇	semidirect
954. #3270	C₂×C₆₇	semidirect
955. #3269	C₂×C₆₇	semidirect
956. #3269	C₂×C₆₇	semidirect
957. #3267	C₂×C₆₇	semidirect
958. #3266	C₂×C₆₇	semidirect
959. #3265	C₂×C₆₇	semidirect
960. #3219	C₂×C₆₇	semidirect
961. #3216	C₂×C₆₇	semidirect
962. #3197	C₂×C₆₇	semidirect
963. #3196	C₂×C₆₇	semidirect
964. #3191	C₂×C₆₇	semidirect
965. #3190	C₂×C₆₇	semidirect
966. #3116	C₂×C₆₇	semidirect
967. #3111	C₂×C₆₇	semidirect
968. #3007	C₂×C₆₇	semidirect
969. #3005	C₂×C₆₇	semidirect
970. #3002	C₂×C₆₇	semidirect
971. C₂×#452	C₂×C₆₇	semidirect
972. #2973	C₂×C₆₇	semidirect
973. C₆₇	#61580	direct (N × H)
976. C₂×#137	C₂²×C₆₇	semidirect
977. C₂×#137	C₂²×C₆₇	semidirect
978. C₂×#137	C₂²×C₆₇	semidirect
979. C₂×AGL(1,ℤ/8)	C₂²×C₆₇	semidirect
980. C₂×#135	C₂²×C₆₇	semidirect
981. C₂×#135	C₂²×C₆₇	semidirect
982. C₂²×Q₁₆	C₂²×C₆₇	semidirect
983. C₂²×SD₁₆	C₂²×C₆₇	semidirect
984. #556	C₂²×C₆₇	semidirect
987. #552	C₂²×C₆₇	semidirect
992. D₄×Q₈	C₂²×C₆₇	semidirect
996. #548	C₂²×C₆₇	semidirect
999. #547	C₂²×C₆₇	semidirect
1000. #547	C₂²×C₆₇	semidirect
1011. #533	C₂²×C₆₇	semidirect
1014. #529	C₂²×C₆₇	semidirect
1019. #525	C₂²×C₆₇	semidirect
1020. #525	C₂²×C₆₇	semidirect
1021. C₂×C₂²⋊Q₈	C₂²×C₆₇	semidirect
1022. C₂×C₂²⋊Q₈	C₂²×C₆₇	semidirect
1027. #497	C₂²×C₆₇	semidirect
1028. #497	C₂²×C₆₇	semidirect
1029. #497	C₂²×C₆₇	semidirect
1030. #496	C₂²×C₆₇	semidirect
1031. #491	C₂²×C₆₇	semidirect
1032. #490	C₂²×C₆₇	semidirect
1033. #489	C₂²×C₆₇	semidirect
1034. #489	C₂²×C₆₇	semidirect
1035. #485	C₂²×C₆₇	semidirect
1036. #485	C₂²×C₆₇	semidirect
1037. #485	C₂²×C₆₇	semidirect
1038. #485	C₂²×C₆₇	semidirect
1039. #485	C₂²×C₆₇	semidirect
1040. #484	C₂²×C₆₇	semidirect
1041. #483	C₂²×C₆₇	semidirect
1042. #482	C₂²×C₆₇	semidirect
1043. #482	C₂²×C₆₇	semidirect
1044. #482	C₂²×C₆₇	semidirect
1045. #481	C₂²×C₆₇	semidirect
1046. #480	C₂²×C₆₇	semidirect
1047. #479	C₂²×C₆₇	semidirect
1048. #478	C₂²×C₆₇	semidirect
1049. #477	C₂²×C₆₇	semidirect
1050. #476	C₂²×C₆₇	semidirect
1051. #470	C₂²×C₆₇	semidirect
1052. #470	C₂²×C₆₇	semidirect
1053. #470	C₂²×C₆₇	semidirect
1054. #469	C₂²×C₆₇	semidirect
1055. #468	C₂²×C₆₇	semidirect
1056. #468	C₂²×C₆₇	semidirect
1057. #468	C₂²×C₆₇	semidirect
1058. #468	C₂²×C₆₇	semidirect
1059. #467	C₂²×C₆₇	semidirect
1060. #467	C₂²×C₆₇	semidirect
1061. #467	C₂²×C₆₇	semidirect
1062. #466	C₂²×C₆₇	semidirect
1063. #465	C₂²×C₆₇	semidirect
1064. #465	C₂²×C₆₇	semidirect
1065. #465	C₂²×C₆₇	semidirect
1066. #465	C₂²×C₆₇	semidirect
1067. #464	C₂²×C₆₇	semidirect
1068. #464	C₂²×C₆₇	semidirect
1069. #464	C₂²×C₆₇	semidirect
1070. #463	C₂²×C₆₇	semidirect
1071. #463	C₂²×C₆₇	semidirect
1072. #463	C₂²×C₆₇	semidirect
1073. #462	C₂²×C₆₇	semidirect
1074. #462	C₂²×C₆₇	semidirect
1075. #462	C₂²×C₆₇	semidirect
1076. #461	C₂²×C₆₇	semidirect
1077. #460	C₂²×C₆₇	semidirect
1078. #460	C₂²×C₆₇	semidirect
1082. #452	C₂²×C₆₇	semidirect
1083. #452	C₂²×C₆₇	semidirect
1084. #452	C₂²×C₆₇	semidirect
1085. #452	C₂²×C₆₇	semidirect
1086. #452	C₂²×C₆₇	semidirect
1087. #452	C₂²×C₆₇	semidirect
1088. #452	C₂²×C₆₇	semidirect
1089. #452	C₂²×C₆₇	semidirect
1090. #452	C₂²×C₆₇	semidirect
1091. #452	C₂²×C₆₇	semidirect
1092. #452	C₂²×C₆₇	semidirect
1093. #452	C₂²×C₆₇	semidirect
1094. #452	C₂²×C₆₇	semidirect
1095. #452	C₂²×C₆₇	semidirect
1096. #451	C₂²×C₆₇	semidirect
1097. #451	C₂²×C₆₇	semidirect
1098. #451	C₂²×C₆₇	semidirect
1099. #451	C₂²×C₆₇	semidirect
1100. #451	C₂²×C₆₇	semidirect
1101. #450	C₂²×C₆₇	semidirect
1102. #450	C₂²×C₆₇	semidirect
1103. #450	C₂²×C₆₇	semidirect
1105. #449	C₂²×C₆₇	semidirect
1106. #449	C₂²×C₆₇	semidirect
1107. #449	C₂²×C₆₇	semidirect
1108. #449	C₂²×C₆₇	semidirect
1109. #449	C₂²×C₆₇	semidirect
1110. #449	C₂²×C₆₇	semidirect
1111. #448	C₂²×C₆₇	semidirect
1112. #448	C₂²×C₆₇	semidirect
1113. #448	C₂²×C₆₇	semidirect
1114. #447	C₂²×C₆₇	semidirect
1115. #442	C₂²×C₆₇	semidirect
1116. #441	C₂²×C₆₇	semidirect
1117. #441	C₂²×C₆₇	semidirect
1118. #441	C₂²×C₆₇	semidirect
1119. #440	C₂²×C₆₇	semidirect
1120. #440	C₂²×C₆₇	semidirect
1121. #440	C₂²×C₆₇	semidirect
1122. #440	C₂²×C₆₇	semidirect
1125. #435	C₂²×C₆₇	semidirect
1126. #435	C₂²×C₆₇	semidirect
1127. #435	C₂²×C₆₇	semidirect
1128. #435	C₂²×C₆₇	semidirect
1129. #435	C₂²×C₆₇	semidirect
1130. #435	C₂²×C₆₇	semidirect
1131. #432	C₂²×C₆₇	semidirect
1132. #432	C₂²×C₆₇	semidirect
1133. #419	C₂²×C₆₇	semidirect
1134. #418	C₂²×C₆₇	semidirect
1135. #417	C₂²×C₆₇	semidirect
1136. #417	C₂²×C₆₇	semidirect
1137. #416	C₂²×C₆₇	semidirect
1138. #416	C₂²×C₆₇	semidirect
1139. C₂×#103	C₂²×C₆₇	semidirect
1140. C₂×#102	C₂²×C₆₇	semidirect
1141. #407	C₂²×C₆₇	semidirect
1142. #407	C₂²×C₆₇	semidirect
1143. C₂×C₂²⋊C₈	C₂²×C₆₇	semidirect
1144. C₂×C₂²⋊C₈	C₂²×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₆₇×#3520	2
D₄×#41×C₆₇	2
C₆₇×#3317	2
C₆₇×#3315	2
C₆₇×#3313	2
C₆₇×#3312	2
C₆₇×#3311	2
C₆₇×#3310	2
C₆₇×#3308	2
C₆₇×#3306	2
C₆₇×#3271	2
C₆₇×#3270	2
C₆₇×#3269	2
C₆₇×#3267	2
C₆₇×#3266	2
C₆₇×#3265	2
C₆₇×#3219	2
C₆₇×#3216	2
C₆₇×#3197	2
C₆₇×#3196	2
C₆₇×#3191	2
C₆₇×#3190	2
C₆₇×#3116	2
C₆₇×#3111	2
C₆₇×#3007	2
C₆₇×#3005	2
C₆₇×#3002	2
C₂×#452×C₆₇	2
C₆₇×#2973	2
#61580	67

Subgroups — C67×#61580 #30740831

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#61580 #30740831