Subgroups — C₆₇×#61579 #30740830

Order 17152.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#41×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#3321	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#3320	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#3319	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#3318	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#3316	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#3314	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#3309	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#3307	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#3271	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#3268	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#3268	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#3267	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#3266	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#3265	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#3264	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#3219	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#3214	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#3197	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#3194	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#3191	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#3188	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#3115	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#3006	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×#449×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, complemented
33	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
34	C₂×#137×C₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂×AGL(1,ℤ/8)×C₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂×AGL(1,ℤ/8)×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×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
42	#555×C₆₇	C₂²	1	1	yes	characteristic, complemented
43	#554×C₆₇	C₂²	1	1	yes	characteristic, complemented
44	#553×C₆₇	—	2	1	no	—
45	#553×C₆₇	C₂²	1	1	yes	characteristic
46	#553×C₆₇	C₂²	1	1	yes	characteristic, complemented
47	#550×C₆₇	C₂²	1	1	yes	characteristic, complemented
48	#550×C₆₇	C₂²	1	1	yes	characteristic, complemented
49	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
50	#548×C₆₇	C₂²	1	1	yes	characteristic
51	#548×C₆₇	C₂²	1	1	yes	characteristic, complemented
52	#547×C₆₇	—	2	1	no	—
53	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
54	#546×C₆₇	—	2	1	no	—
55	#546×C₆₇	—	2	1	no	—
56	#546×C₆₇	—	2	1	no	—
57	#546×C₆₇	—	2	1	no	—
58	#546×C₆₇	C₂²	1	1	yes	characteristic
59	#546×C₆₇	C₂²	1	1	yes	characteristic
60	#546×C₆₇	C₂²	1	1	yes	characteristic, complemented
61	#546×C₆₇	C₂²	1	1	yes	characteristic, complemented
62	D₄²×C₆₇	—	2	1	no	—
63	D₄²×C₆₇	—	2	1	no	—
64	D₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
65	D₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
66	#540×C₆₇	—	2	1	no	—
67	#538×C₆₇	—	2	1	no	—
68	#538×C₆₇	—	2	1	no	—
69	#532×C₆₇	—	2	1	no	—
70	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
71	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
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, complemented
76	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
77	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
78	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
79	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
80	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
81	#518×C₆₇	—	2	1	no	—
82	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
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	#496×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#496×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	#484×C₆₇	C₂²	1	1	yes	characteristic, complemented
97	#483×C₆₇	C₂²	1	1	yes	characteristic, complemented
98	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
99	#482×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	#475×C₆₇	C₂²	1	1	yes	characteristic, complemented
108	#474×C₆₇	C₂²	1	1	yes	characteristic, complemented
109	#470×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#469×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#469×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	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
119	#466×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	#461×C₆₇	C₂²	1	1	yes	characteristic, complemented
132	#461×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
138	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
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	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
148	#449×C₆₇	C₂²	1	1	yes	characteristic
149	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
152	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
153	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
154	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
155	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
156	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
157	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
158	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
160	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
161	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
162	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
163	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
164	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
165	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
166	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
168	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
170	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
171	#447×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	#442×C₆₇	C₂²	1	1	yes	characteristic, complemented
175	#442×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, complemented
182	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
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×D₄×C₆₇	—	2	1	no	—
224	C₂²×D₄×C₆₇	—	2	1	no	—
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	—	2	1	no	—
229	C₂²×D₄×C₆₇	D₄	1	1	yes	characteristic
230	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
231	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
232	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
233	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
234	C₂³×C₄×C₆₇	—	2	1	no	—
235	C₂³×C₄×C₆₇	—	2	1	no	—
236	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
238	#137×C₆₇	—	4	2	no	—
239	AGL(1,ℤ/8)×C₆₇	—	4	2	no	—
240	AGL(1,ℤ/8)×C₆₇	—	4	2	no	—
241	AGL(1,ℤ/8)×C₆₇	—	4	2	no	—
242	#135×C₆₇	—	4	2	no	—
243	#135×C₆₇	—	4	2	no	—
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×SD₁₆×C₆₇	—	4	2	no	—
248	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
249	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
250	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
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×D₈×C₆₇	—	4	2	no	—
261	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
262	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
263	C₂×D₈×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×D₈×C₆₇	C₂³	1	1	yes	characteristic
268	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
269	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
270	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
271	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
272	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
273	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
275	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
276	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
278	C₄⋊Q₈×C₆₇	—	2	1	no	—
279	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
280	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
281	#127×C₆₇	—	2	1	no	—
282	#127×C₆₇	—	2	1	no	—
283	#127×C₆₇	C₂³	1	1	yes	characteristic
284	#127×C₆₇	C₂³	1	1	yes	characteristic
285	#126×C₆₇	—	2	1	no	—
286	#126×C₆₇	—	2	1	no	—
287	#126×C₆₇	—	2	1	no	—
288	#125×C₆₇	—	2	1	no	—
289	#125×C₆₇	C₂³	1	1	yes	characteristic
290	#124×C₆₇	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
296	#124×C₆₇	C₂³	1	1	yes	characteristic
297	#124×C₆₇	C₂³	1	1	yes	characteristic
298	#123×C₆₇	—	2	1	no	—
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	C₂²⋊Q₈×C₆₇	—	2	1	no	—
312	C₂²⋊Q₈×C₆₇	—	2	1	no	—
313	C₂²⋊Q₈×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	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
321	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
322	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
324	#121×C₆₇	—	2	1	no	—
325	#121×C₆₇	—	2	1	no	—
326	#121×C₆₇	—	2	1	no	—
327	#121×C₆₇	—	2	1	no	—
328	#121×C₆₇	—	2	1	no	—
329	#121×C₆₇	—	2	1	no	—
330	#121×C₆₇	—	2	1	no	—
331	#121×C₆₇	—	2	1	no	—
332	#121×C₆₇	—	2	1	no	—
333	#121×C₆₇	—	2	1	no	—
334	#121×C₆₇	—	2	1	no	—
335	#121×C₆₇	—	2	1	no	—
336	#121×C₆₇	—	2	1	no	—
337	#121×C₆₇	—	2	1	no	—
338	#121×C₆₇	—	2	1	no	—
339	#121×C₆₇	—	2	1	no	—
340	#121×C₆₇	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
348	#121×C₆₇	C₂³	1	1	yes	characteristic
349	#121×C₆₇	C₂³	1	1	yes	characteristic
350	#121×C₆₇	C₂³	1	1	yes	characteristic
351	#121×C₆₇	C₂³	1	1	yes	characteristic
352	#121×C₆₇	C₂³	1	1	yes	characteristic
353	#121×C₆₇	C₂³	1	1	yes	characteristic
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	#120×C₆₇	—	2	1	no	—
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	#120×C₆₇	—	2	1	no	—
370	#120×C₆₇	—	2	1	no	—
371	#120×C₆₇	—	2	1	no	—
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×D₄×C₆₇	—	2	1	no	—
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	—	2	1	no	—
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	D₄	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	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
408	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
409	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
410	#117×C₆₇	—	2	1	no	—
411	#117×C₆₇	—	2	1	no	—
412	#117×C₆₇	—	2	1	no	—
413	#117×C₆₇	C₂³	1	1	yes	characteristic
414	#117×C₆₇	C₂³	1	1	yes	characteristic
415	#117×C₆₇	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
417	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
418	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
419	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
420	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
421	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
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	#102×C₆₇	C₂³	1	1	yes	characteristic
457	#102×C₆₇	C₂³	1	1	yes	characteristic
458	#102×C₆₇	C₂³	1	1	yes	characteristic
459	#102×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	—	2	1	no	—
493	C₂⁴×C₆₇	—	2	1	no	—
494	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
495	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
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	—	2	2	no	—
501	#41×C₆₇	—	2	2	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	1	no	—
509	#41×C₆₇	—	4	1	no	—
510	#41×C₆₇	—	4	4	no	—
511	#41×C₆₇	—	4	4	no	—
512	#41×C₆₇	—	4	1	no	—
513	#41×C₆₇	—	4	1	no	—
514	#41×C₆₇	—	4	1	no	—
515	#41×C₆₇	—	4	1	no	—
516	#41×C₆₇	—	4	4	no	—
517	#41×C₆₇	—	4	4	no	—
518	#41×C₆₇	—	8	2	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	C₂⁴	1	1	yes	characteristic
527	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
528	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
529	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₆₇	—	2	1	no	—
531	C₂×D₄×C₆₇	—	2	2	no	—
532	C₂×D₄×C₆₇	—	2	2	no	—
533	C₂×D₄×C₆₇	—	2	1	no	—
534	C₂×D₄×C₆₇	—	2	1	no	—
535	C₂×D₄×C₆₇	—	2	1	no	—
536	C₂×D₄×C₆₇	—	2	1	no	—
537	C₂×D₄×C₆₇	—	2	1	no	—
538	C₂×D₄×C₆₇	—	2	1	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	—	2	1	no	—
559	C₂×D₄×C₆₇	—	2	1	no	—
560	C₂×D₄×C₆₇	—	2	1	no	—
561	C₂×D₄×C₆₇	—	2	1	no	—
562	C₂×D₄×C₆₇	—	4	1	no	—
563	C₂×D₄×C₆₇	—	4	1	no	—
564	C₂×D₄×C₆₇	—	4	1	no	—
565	C₂×D₄×C₆₇	—	4	1	no	—
566	C₂×D₄×C₆₇	—	4	1	no	—
567	C₂×D₄×C₆₇	—	4	1	no	—
568	C₂×D₄×C₆₇	—	4	2	no	—
569	C₂×D₄×C₆₇	—	4	4	no	—
570	C₂×D₄×C₆₇	—	4	4	no	—
571	C₂×D₄×C₆₇	—	4	4	no	—
572	C₂×D₄×C₆₇	—	4	4	no	—
573	C₂×D₄×C₆₇	—	8	2	no	—
574	C₂×D₄×C₆₇	—	8	2	no	—
575	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
576	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
579	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
580	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
581	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
582	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
583	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
584	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
591	C₂²×C₄×C₆₇	—	2	1	no	—
592	C₂²×C₄×C₆₇	—	2	1	no	—
593	C₂²×C₄×C₆₇	—	2	1	no	—
594	C₂²×C₄×C₆₇	—	2	1	no	—
595	C₂²×C₄×C₆₇	—	2	1	no	—
596	C₂²×C₄×C₆₇	—	2	1	no	—
597	C₂²×C₄×C₆₇	—	2	1	no	—
598	C₂²×C₄×C₆₇	—	2	1	no	—
599	C₂²×C₄×C₆₇	—	2	1	no	—
600	C₂²×C₄×C₆₇	—	2	1	no	—
601	C₂²×C₄×C₆₇	—	2	1	no	—
602	C₂²×C₄×C₆₇	—	2	1	no	—
603	C₂²×C₄×C₆₇	—	4	1	no	—
604	C₂²×C₄×C₆₇	—	4	1	no	—
605	C₂²×C₄×C₆₇	—	4	1	no	—
606	C₂²×C₄×C₆₇	—	4	1	no	—
607	C₂²×C₄×C₆₇	—	4	4	no	—
608	C₂²×C₄×C₆₇	—	4	4	no	—
609	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
610	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
611	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
612	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
613	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
614	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
615	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
616	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
617	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
622	Q₁₆×C₆₇	—	2	2	no	—
623	Q₁₆×C₆₇	—	4	1	no	—
624	Q₁₆×C₆₇	—	4	1	no	—
625	SD₁₆×C₆₇	—	2	2	no	—
626	SD₁₆×C₆₇	—	2	2	no	—
627	SD₁₆×C₆₇	—	2	2	no	—
628	SD₁₆×C₆₇	—	2	2	no	—
629	SD₁₆×C₆₇	—	4	1	no	—
630	SD₁₆×C₆₇	—	4	1	no	—
631	SD₁₆×C₆₇	—	4	1	no	—
632	SD₁₆×C₆₇	—	4	1	no	—
633	SD₁₆×C₆₇	—	4	1	no	—
634	SD₁₆×C₆₇	—	4	1	no	—
635	SD₁₆×C₆₇	—	4	1	no	—
636	SD₁₆×C₆₇	—	4	1	no	—
637	D₈×C₆₇	—	2	2	no	—
638	D₈×C₆₇	—	2	2	no	—
639	D₈×C₆₇	—	2	2	no	—
640	D₈×C₆₇	—	4	1	no	—
641	D₈×C₆₇	—	4	1	no	—
642	D₈×C₆₇	—	4	1	no	—
643	D₈×C₆₇	—	4	1	no	—
644	D₈×C₆₇	—	4	1	no	—
645	D₈×C₆₇	—	4	1	no	—
646	M₁₆×C₆₇	—	4	1	no	—
647	M₁₆×C₆₇	—	4	1	no	—
648	M₁₆×C₆₇	—	4	1	no	—
649	M₁₆×C₆₇	—	4	1	no	—
650	C₂×C₈×C₆₇	—	4	1	no	—
651	C₂×C₈×C₆₇	—	4	1	no	—
652	C₂×C₈×C₆₇	—	4	1	no	—
653	C₂×C₈×C₆₇	—	4	1	no	—
654	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
655	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
656	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
657	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
658	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
659	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
660	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
661	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
677	C₄⋊C₄×C₆₇	—	2	1	no	—
678	C₄⋊C₄×C₆₇	—	2	1	no	—
679	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
680	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
681	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
682	C₄⋊C₄×C₆₇	C₂×D₄	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	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
687	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
688	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
719	C₂²⋊C₄×C₆₇	—	2	1	no	—
720	C₂²⋊C₄×C₆₇	—	2	1	no	—
721	C₂²⋊C₄×C₆₇	—	2	1	no	—
722	C₂²⋊C₄×C₆₇	—	2	1	no	—
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	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
727	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
728	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
729	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
730	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
731	C₄²×C₆₇	—	2	1	no	—
732	C₄²×C₆₇	—	2	1	no	—
733	C₄²×C₆₇	—	2	1	no	—
734	C₄²×C₆₇	—	2	1	no	—
735	C₄²×C₆₇	—	2	1	no	—
736	C₄²×C₆₇	—	2	1	no	—
737	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
738	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
739	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
740	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
741	C₂³×C₆₇	—	2	1	no	—
742	C₂³×C₆₇	—	2	2	no	—
743	C₂³×C₆₇	—	2	1	no	—
744	C₂³×C₆₇	—	2	1	no	—
745	C₂³×C₆₇	—	2	1	no	—
746	C₂³×C₆₇	—	2	1	no	—
747	C₂³×C₆₇	—	2	1	no	—
748	C₂³×C₆₇	—	4	1	no	—
749	C₂³×C₆₇	—	4	1	no	—
750	C₂³×C₆₇	—	4	1	no	—
751	C₂³×C₆₇	—	4	1	no	—
752	C₂³×C₆₇	—	4	1	no	—
753	C₂³×C₆₇	—	4	2	no	—
754	C₂³×C₆₇	—	4	2	no	—
755	C₂³×C₆₇	—	4	2	no	—
756	C₂³×C₆₇	—	4	2	no	—
757	C₂³×C₆₇	—	4	2	no	—
758	C₂³×C₆₇	—	4	2	no	—
759	C₂³×C₆₇	—	8	1	no	—
760	C₂³×C₆₇	—	8	1	no	—
761	C₂³×C₆₇	—	8	1	no	—
762	C₂³×C₆₇	—	8	1	no	—
763	C₂³×C₆₇	—	8	1	no	—
764	C₂³×C₆₇	—	8	1	no	—
765	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
766	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
767	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
768	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
769	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
770	Q₈×C₆₇	—	2	1	no	—
771	Q₈×C₆₇	—	2	1	no	—
772	Q₈×C₆₇	—	2	1	no	—
773	Q₈×C₆₇	—	2	1	no	—
774	Q₈×C₆₇	—	2	1	no	—
775	Q₈×C₆₇	—	2	1	no	—
776	Q₈×C₆₇	—	2	1	no	—
777	Q₈×C₆₇	—	4	2	no	—
778	Q₈×C₆₇	—	4	2	no	—
779	Q₈×C₆₇	—	8	1	no	—
780	Q₈×C₆₇	H(5,𝔽₂)	1	2	yes	—
781	D₄×C₆₇	—	2	4	no	—
782	D₄×C₆₇	—	2	2	no	—
783	D₄×C₆₇	—	2	2	no	—
784	D₄×C₆₇	—	2	1	no	—
785	D₄×C₆₇	—	2	1	no	—
786	D₄×C₆₇	—	2	1	no	—
787	D₄×C₆₇	—	2	1	no	—
788	D₄×C₆₇	—	2	1	no	—
789	D₄×C₆₇	—	2	1	no	—
790	D₄×C₆₇	—	2	1	no	—
791	D₄×C₆₇	—	2	1	no	—
792	D₄×C₆₇	—	2	1	no	—
793	D₄×C₆₇	—	2	1	no	—
794	D₄×C₆₇	—	2	1	no	—
795	D₄×C₆₇	—	4	1	no	—
796	D₄×C₆₇	—	4	1	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	—	4	2	no	—
803	D₄×C₆₇	—	4	2	no	—
804	D₄×C₆₇	—	4	2	no	—
805	D₄×C₆₇	—	4	2	no	—
806	D₄×C₆₇	—	4	2	no	—
807	D₄×C₆₇	—	4	2	no	—
808	D₄×C₆₇	—	4	2	no	—
809	D₄×C₆₇	—	4	2	no	—
810	D₄×C₆₇	—	4	2	no	—
811	D₄×C₆₇	—	4	2	no	—
812	D₄×C₆₇	—	4	2	no	—
813	D₄×C₆₇	—	4	2	no	—
814	D₄×C₆₇	—	8	1	no	—
815	D₄×C₆₇	—	8	1	no	—
816	D₄×C₆₇	—	8	1	no	—
817	D₄×C₆₇	—	8	1	no	—
818	D₄×C₆₇	—	8	1	no	—
819	D₄×C₆₇	—	8	1	no	—
820	D₄×C₆₇	—	8	1	no	—
821	D₄×C₆₇	—	8	1	no	—
822	D₄×C₆₇	—	8	1	no	—
823	D₄×C₆₇	—	8	1	no	—
824	D₄×C₆₇	—	8	1	no	—
825	D₄×C₆₇	—	8	1	no	—
826	D₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
827	C₂×C₄×C₆₇	—	2	4	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	—	2	1	no	—
832	C₂×C₄×C₆₇	—	2	1	no	—
833	C₂×C₄×C₆₇	—	2	1	no	—
834	C₂×C₄×C₆₇	—	2	1	no	—
835	C₂×C₄×C₆₇	—	2	1	no	—
836	C₂×C₄×C₆₇	—	2	1	no	—
837	C₂×C₄×C₆₇	—	2	1	no	—
838	C₂×C₄×C₆₇	—	2	1	no	—
839	C₂×C₄×C₆₇	—	2	1	no	—
840	C₂×C₄×C₆₇	—	2	1	no	—
841	C₂×C₄×C₆₇	—	2	1	no	—
842	C₂×C₄×C₆₇	—	2	1	no	—
843	C₂×C₄×C₆₇	—	2	1	no	—
844	C₂×C₄×C₆₇	—	2	1	no	—
845	C₂×C₄×C₆₇	—	2	1	no	—
846	C₂×C₄×C₆₇	—	2	1	no	—
847	C₂×C₄×C₆₇	—	2	1	no	—
848	C₂×C₄×C₆₇	—	4	1	no	—
849	C₂×C₄×C₆₇	—	4	1	no	—
850	C₂×C₄×C₆₇	—	4	1	no	—
851	C₂×C₄×C₆₇	—	4	1	no	—
852	C₂×C₄×C₆₇	—	4	1	no	—
853	C₂×C₄×C₆₇	—	4	1	no	—
854	C₂×C₄×C₆₇	—	4	1	no	—
855	C₂×C₄×C₆₇	—	4	1	no	—
856	C₂×C₄×C₆₇	—	4	2	no	—
857	C₂×C₄×C₆₇	—	4	2	no	—
858	C₂×C₄×C₆₇	—	4	2	no	—
859	C₂×C₄×C₆₇	—	4	2	no	—
860	C₂×C₄×C₆₇	—	4	2	no	—
861	C₂×C₄×C₆₇	—	4	2	no	—
862	C₂×C₄×C₆₇	—	4	2	no	—
863	C₂×C₄×C₆₇	—	4	2	no	—
864	C₂×C₄×C₆₇	—	4	2	no	—
865	C₂×C₄×C₆₇	—	4	2	no	—
866	C₂×C₄×C₆₇	—	8	1	no	—
867	C₂×C₄×C₆₇	—	8	1	no	—
868	C₂×C₄×C₆₇	—	8	1	no	—
869	C₂×C₄×C₆₇	—	8	1	no	—
870	C₂×C₄×C₆₇	—	8	1	no	—
871	C₂×C₄×C₆₇	—	8	1	no	—
872	C₂×C₄×C₆₇	—	8	1	no	—
873	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
874	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
875	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
876	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
877	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
878	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
879	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
880	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
881	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
882	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
883	C₈×C₆₇	—	2	1	no	—
884	C₈×C₆₇	—	2	1	no	—
885	C₈×C₆₇	—	2	1	no	—
886	C₈×C₆₇	—	2	1	no	—
887	C₈×C₆₇	—	2	1	no	—
888	C₈×C₆₇	—	2	1	no	—
889	C₈×C₆₇	—	2	1	no	—
890	C₈×C₆₇	—	2	1	no	—
891	C₂²×C₆₇	—	2	1	no	—
892	C₂²×C₆₇	—	2	1	no	—
893	C₂²×C₆₇	—	2	1	no	—
894	C₂²×C₆₇	—	2	1	no	—
895	C₂²×C₆₇	—	2	1	no	—
896	C₂²×C₆₇	—	2	1	no	—
897	C₂²×C₆₇	—	2	1	no	—
898	C₂²×C₆₇	—	2	1	no	—
899	C₂²×C₆₇	—	2	2	no	—
900	C₂²×C₆₇	—	2	1	no	—
901	C₂²×C₆₇	—	2	1	no	—
902	C₂²×C₆₇	—	2	1	no	—
903	C₂²×C₆₇	—	2	1	no	—
904	C₂²×C₆₇	—	2	1	no	—
905	C₂²×C₆₇	—	2	1	no	—
906	C₂²×C₆₇	—	4	1	no	—
907	C₂²×C₆₇	—	4	1	no	—
908	C₂²×C₆₇	—	4	1	no	—
909	C₂²×C₆₇	—	4	1	no	—
910	C₂²×C₆₇	—	4	1	no	—
911	C₂²×C₆₇	—	4	1	no	—
912	C₂²×C₆₇	—	4	1	no	—
913	C₂²×C₆₇	—	4	1	no	—
914	C₂²×C₆₇	—	4	1	no	—
915	C₂²×C₆₇	—	4	1	no	—
916	C₂²×C₆₇	—	4	1	no	—
917	C₂²×C₆₇	—	4	1	no	—
918	C₂²×C₆₇	—	4	1	no	—
919	C₂²×C₆₇	—	4	1	no	—
920	C₂²×C₆₇	—	4	1	no	—
921	C₂²×C₆₇	—	4	1	no	—
922	C₂²×C₆₇	—	4	1	no	—
923	C₂²×C₆₇	—	8	2	no	—
924	C₂²×C₆₇	—	8	4	no	—
925	C₂²×C₆₇	—	8	2	no	—
926	C₂²×C₆₇	—	8	4	no	—
927	C₂²×C₆₇	—	16	2	no	—
928	C₂²×C₆₇	—	16	2	no	—
929	C₂²×C₆₇	#575	1	2	yes	—
930	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
931	C₄×C₆₇	—	2	1	no	—
932	C₄×C₆₇	—	2	1	no	—
933	C₄×C₆₇	—	2	1	no	—
934	C₄×C₆₇	—	2	2	no	—
935	C₄×C₆₇	—	2	1	no	—
936	C₄×C₆₇	—	2	1	no	—
937	C₄×C₆₇	—	2	1	no	—
938	C₄×C₆₇	—	2	1	no	—
939	C₄×C₆₇	—	2	1	no	—
940	C₄×C₆₇	—	2	1	no	—
941	C₄×C₆₇	—	4	1	no	—
942	C₄×C₆₇	—	4	1	no	—
943	C₄×C₆₇	—	4	1	no	—
944	C₄×C₆₇	—	4	1	no	—
945	C₄×C₆₇	—	4	1	no	—
946	C₄×C₆₇	—	4	1	no	—
947	C₄×C₆₇	—	4	1	no	—
948	C₄×C₆₇	—	4	1	no	—
949	C₄×C₆₇	—	4	1	no	—
950	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
951	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
952	#61579	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
953	C₂×C₆₇	—	2	2	no	—
954	C₂×C₆₇	—	4	1	no	—
955	C₂×C₆₇	—	4	1	no	—
956	C₂×C₆₇	—	4	1	no	—
957	C₂×C₆₇	—	4	1	no	—
958	C₂×C₆₇	—	4	2	no	—
959	C₂×C₆₇	—	8	1	no	—
960	C₂×C₆₇	—	8	1	no	—
961	C₂×C₆₇	—	8	1	no	—
962	C₂×C₆₇	—	8	1	no	—
963	C₂×C₆₇	—	8	1	no	—
964	C₂×C₆₇	#3484	1	1	yes	characteristic
965	C₂×C₆₇	C₂×#575	1	1	yes	characteristic
966	C₂×C₆₇	#3585	1	1	yes	characteristic
967	#3519	C₂×C₆₇	1	1	yes	characteristic, complemented
968	D₄×#41	C₂×C₆₇	1	1	yes	characteristic, complemented
969	#3321	C₂×C₆₇	1	1	yes	characteristic, complemented
970	#3320	C₂×C₆₇	1	1	yes	characteristic, complemented
971	#3319	C₂×C₆₇	1	1	yes	characteristic, complemented
972	#3318	C₂×C₆₇	1	1	yes	characteristic, complemented
973	#3316	C₂×C₆₇	1	1	yes	characteristic, complemented
974	#3314	C₂×C₆₇	1	1	yes	characteristic, complemented
975	#3309	C₂×C₆₇	1	1	yes	characteristic, complemented
976	#3307	C₂×C₆₇	1	1	yes	characteristic, complemented
977	#3271	C₂×C₆₇	1	1	yes	characteristic, complemented
978	#3268	C₂×C₆₇	1	1	yes	characteristic, complemented
979	#3268	C₂×C₆₇	1	1	yes	characteristic, complemented
980	#3267	C₂×C₆₇	1	1	yes	characteristic, complemented
981	#3266	C₂×C₆₇	1	1	yes	characteristic, complemented
982	#3265	C₂×C₆₇	1	1	yes	characteristic, complemented
983	#3264	C₂×C₆₇	1	1	yes	characteristic, complemented
984	#3264	C₂×C₆₇	1	1	yes	characteristic, complemented
985	#3219	C₂×C₆₇	1	1	yes	characteristic, complemented
986	#3214	C₂×C₆₇	1	1	yes	characteristic, complemented
987	#3197	C₂×C₆₇	1	1	yes	characteristic, complemented
988	#3194	C₂×C₆₇	1	1	yes	characteristic, complemented
989	#3191	C₂×C₆₇	1	1	yes	characteristic, complemented
990	#3188	C₂×C₆₇	1	1	yes	characteristic, complemented
991	#3115	C₂×C₆₇	1	1	yes	characteristic, complemented
992	#3111	C₂×C₆₇	1	1	yes	characteristic, complemented
993	#3006	C₂×C₆₇	1	1	yes	characteristic, complemented
994	#3005	C₂×C₆₇	1	1	yes	characteristic, complemented
995	#3002	C₂×C₆₇	1	1	yes	characteristic, complemented
996	C₂×#449	C₂×C₆₇	1	1	yes	characteristic, complemented
997	#2973	C₂×C₆₇	1	1	yes	characteristic, complemented
998	C₆₇	#61579	1	1	yes	characteristic, direct product factor, Sylow
999	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic, complemented
1000	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic, complemented
1001	C₂×#137	C₂²×C₆₇	1	1	yes	characteristic, complemented
1002	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	1	yes	characteristic, complemented
1003	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	1	yes	characteristic, complemented
1004	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	1	yes	characteristic, complemented
1005	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic, complemented
1006	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic, complemented
1007	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1008	C₂²×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1009	#555	C₂²×C₆₇	1	1	yes	characteristic, complemented
1010	#554	C₂²×C₆₇	1	1	yes	characteristic, complemented
1011	#553	—	2	1	no	—
1012	#553	C₂²×C₆₇	1	1	yes	characteristic
1013	#553	C₂²×C₆₇	1	1	yes	characteristic, complemented
1014	#550	C₂²×C₆₇	1	1	yes	characteristic, complemented
1015	#550	C₂²×C₆₇	1	1	yes	characteristic, complemented
1016	D₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1017	#548	C₂²×C₆₇	1	1	yes	characteristic
1018	#548	C₂²×C₆₇	1	1	yes	characteristic, complemented
1019	#547	—	2	1	no	—
1020	#547	C₂²×C₆₇	1	1	yes	characteristic, complemented
1021	#546	—	2	1	no	—
1022	#546	—	2	1	no	—
1023	#546	—	2	1	no	—
1024	#546	—	2	1	no	—
1025	#546	C₂²×C₆₇	1	1	yes	characteristic
1026	#546	C₂²×C₆₇	1	1	yes	characteristic
1027	#546	C₂²×C₆₇	1	1	yes	characteristic, complemented
1028	#546	C₂²×C₆₇	1	1	yes	characteristic, complemented
1029	D₄²	—	2	1	no	—
1030	D₄²	—	2	1	no	—
1031	D₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
1032	D₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
1033	#540	—	2	1	no	—
1034	#538	—	2	1	no	—
1035	#538	—	2	1	no	—
1036	#532	—	2	1	no	—
1037	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1038	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1039	#529	C₂²×C₆₇	1	1	yes	characteristic, complemented
1040	#525	—	2	1	no	—
1041	#525	—	2	1	no	—
1042	#525	C₂²×C₆₇	1	1	yes	characteristic, complemented
1043	#525	C₂²×C₆₇	1	1	yes	characteristic, complemented
1044	#525	C₂²×C₆₇	1	1	yes	characteristic, complemented
1045	#525	C₂²×C₆₇	1	1	yes	characteristic, complemented
1046	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
1047	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
1048	#518	—	2	1	no	—
1049	C₄×#41	C₂²×C₆₇	1	1	yes	characteristic, complemented
1050	C₂×C₄×D₄	—	2	1	no	—
1051	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
1052	#497	C₂²×C₆₇	1	1	yes	characteristic, complemented
1053	#496	C₂²×C₆₇	1	1	yes	characteristic, complemented
1054	#496	C₂²×C₆₇	1	1	yes	characteristic, complemented
1055	#496	C₂²×C₆₇	1	1	yes	characteristic, complemented
1056	#491	C₂²×C₆₇	1	1	yes	characteristic, complemented
1057	#490	C₂²×C₆₇	1	1	yes	characteristic, complemented
1058	#489	C₂²×C₆₇	1	1	yes	characteristic, complemented
1059	#489	C₂²×C₆₇	1	1	yes	characteristic, complemented
1060	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1061	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1062	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1063	#484	C₂²×C₆₇	1	1	yes	characteristic, complemented
1064	#483	C₂²×C₆₇	1	1	yes	characteristic, complemented
1065	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1066	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1067	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1068	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1069	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1070	#481	C₂²×C₆₇	1	1	yes	characteristic, complemented
1071	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
1072	#479	C₂²×C₆₇	1	1	yes	characteristic, complemented
1073	#478	C₂²×C₆₇	1	1	yes	characteristic, complemented
1074	#475	C₂²×C₆₇	1	1	yes	characteristic, complemented
1075	#474	C₂²×C₆₇	1	1	yes	characteristic, complemented
1076	#470	C₂²×C₆₇	1	1	yes	characteristic, complemented
1077	#469	C₂²×C₆₇	1	1	yes	characteristic, complemented
1078	#469	C₂²×C₆₇	1	1	yes	characteristic, complemented
1079	#469	C₂²×C₆₇	1	1	yes	characteristic, complemented
1080	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1081	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1082	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1083	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1084	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
1085	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1086	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1087	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1088	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1089	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1090	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1091	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1092	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1093	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1094	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1095	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1096	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1097	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1098	#461	C₂²×C₆₇	1	1	yes	characteristic, complemented
1099	#461	C₂²×C₆₇	1	1	yes	characteristic, complemented
1100	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1101	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1102	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1103	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1104	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1105	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1106	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1107	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1108	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1109	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1110	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1111	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1112	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1113	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1114	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1115	#449	C₂²×C₆₇	1	1	yes	characteristic
1116	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1117	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1118	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1119	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1120	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1121	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1122	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1123	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1124	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1125	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1126	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1127	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1128	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1129	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1130	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1131	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1132	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1133	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1134	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1135	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1136	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1137	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1138	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1139	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1140	#442	C₂²×C₆₇	1	1	yes	characteristic, complemented
1141	#442	C₂²×C₆₇	1	1	yes	characteristic, complemented
1142	#442	C₂²×C₆₇	1	1	yes	characteristic, complemented
1143	#441	C₂²×C₆₇	1	1	yes	characteristic, complemented
1144	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1145	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1146	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1147	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1148	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1149	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1150	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1151	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1152	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1153	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1154	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1155	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1156	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1157	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1158	#419	C₂²×C₆₇	1	1	yes	characteristic, complemented
1159	#418	C₂²×C₆₇	1	1	yes	characteristic, complemented
1160	#417	C₂²×C₆₇	1	1	yes	characteristic, complemented
1161	#417	C₂²×C₆₇	1	1	yes	characteristic, complemented
1162	#416	C₂²×C₆₇	1	1	yes	characteristic, complemented
1163	#416	C₂²×C₆₇	1	1	yes	characteristic, complemented
1164	C₂×#103	C₂²×C₆₇	1	1	yes	characteristic, complemented
1165	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic, complemented
1166	#407	C₂²×C₆₇	1	1	yes	characteristic, complemented
1167	#407	C₂²×C₆₇	1	1	yes	characteristic, complemented
1168	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1169	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1170	C₂×#41	—	2	1	no	—
1171	C₂×#41	—	2	1	no	—
1172	C₂×#41	—	2	1	no	—
1173	C₂×#41	—	2	1	no	—
1174	C₂×#41	—	2	1	no	—
1175	C₂×#41	—	4	2	no	—
1176	C₂×#41	—	4	2	no	—
1177	C₂×#41	—	4	2	no	—
1178	C₂×#41	—	4	2	no	—
1179	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1180	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1181	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1182	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1183	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1184	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1185	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1186	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1187	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1188	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1189	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1190	C₂²×D₄	—	2	1	no	—
1191	C₂²×D₄	—	2	1	no	—
1192	C₂²×D₄	—	2	1	no	—
1193	C₂²×D₄	—	2	1	no	—
1194	C₂²×D₄	—	2	1	no	—
1195	C₂²×D₄	—	2	1	no	—
1196	C₂²×D₄	D₄×C₆₇	1	1	yes	characteristic
1197	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1198	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1199	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1200	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1201	C₂³×C₄	—	2	1	no	—
1202	C₂³×C₄	—	2	1	no	—
1203	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1204	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1205	#137	—	4	2	no	—
1206	AGL(1,ℤ/8)	—	4	2	no	—
1207	AGL(1,ℤ/8)	—	4	2	no	—
1208	AGL(1,ℤ/8)	—	4	2	no	—
1209	#135	—	4	2	no	—
1210	#135	—	4	2	no	—
1211	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1212	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1213	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1214	C₂×SD₁₆	—	4	2	no	—
1215	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1216	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1217	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1218	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1219	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1220	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1221	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1222	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1223	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1224	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1225	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1226	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1227	C₂×D₈	—	4	2	no	—
1228	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1229	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1230	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1231	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1232	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1233	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1234	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1235	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1236	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1237	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1238	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1239	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1240	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1241	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1242	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1243	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1244	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1245	C₄⋊Q₈	—	2	1	no	—
1246	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1247	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1248	#127	—	2	1	no	—
1249	#127	—	2	1	no	—
1250	#127	C₂³×C₆₇	1	1	yes	characteristic
1251	#127	C₂³×C₆₇	1	1	yes	characteristic
1252	#126	—	2	1	no	—
1253	#126	—	2	1	no	—
1254	#126	—	2	1	no	—
1255	#125	—	2	1	no	—
1256	#125	C₂³×C₆₇	1	1	yes	characteristic
1257	#124	—	2	1	no	—
1258	#124	—	2	1	no	—
1259	#124	—	2	1	no	—
1260	#124	—	2	1	no	—
1261	#124	—	2	1	no	—
1262	#124	C₂³×C₆₇	1	1	yes	characteristic
1263	#124	C₂³×C₆₇	1	1	yes	characteristic
1264	#124	C₂³×C₆₇	1	1	yes	characteristic
1265	#123	—	2	1	no	—
1266	#123	—	2	1	no	—
1267	#123	—	2	1	no	—
1268	#123	—	2	1	no	—
1269	#123	—	2	1	no	—
1270	#123	—	2	1	no	—
1271	#123	—	2	1	no	—
1272	#123	—	2	1	no	—
1273	#123	—	2	1	no	—
1274	#123	—	2	1	no	—
1275	#123	—	2	1	no	—
1276	#123	—	2	1	no	—
1277	#123	—	2	1	no	—
1278	C₂²⋊Q₈	—	2	1	no	—
1279	C₂²⋊Q₈	—	2	1	no	—
1280	C₂²⋊Q₈	—	2	1	no	—
1281	C₂²⋊Q₈	—	2	1	no	—
1282	C₂²⋊Q₈	—	2	1	no	—
1283	C₂²⋊Q₈	—	2	1	no	—
1284	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1285	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1286	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1287	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1288	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1289	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1290	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
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	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	—	2	1	no	—
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	2	1	no	—
1303	#121	—	2	1	no	—
1304	#121	—	2	1	no	—
1305	#121	—	2	1	no	—
1306	#121	—	2	1	no	—
1307	#121	—	2	1	no	—
1308	#121	—	2	1	no	—
1309	#121	—	2	1	no	—
1310	#121	—	2	1	no	—
1311	#121	—	2	1	no	—
1312	#121	—	2	1	no	—
1313	#121	—	2	1	no	—
1314	#121	C₂³×C₆₇	1	1	yes	characteristic
1315	#121	C₂³×C₆₇	1	1	yes	characteristic
1316	#121	C₂³×C₆₇	1	1	yes	characteristic
1317	#121	C₂³×C₆₇	1	1	yes	characteristic
1318	#121	C₂³×C₆₇	1	1	yes	characteristic
1319	#121	C₂³×C₆₇	1	1	yes	characteristic
1320	#121	C₂³×C₆₇	1	1	yes	characteristic
1321	#121	C₂³×C₆₇	1	1	yes	characteristic
1322	#121	C₂³×C₆₇	1	1	yes	characteristic
1323	#121	C₂³×C₆₇	1	1	yes	characteristic
1324	#121	C₂³×C₆₇	1	1	yes	characteristic
1325	#121	C₂³×C₆₇	1	1	yes	characteristic
1326	#121	C₂³×C₆₇	1	1	yes	characteristic
1327	#120	—	2	1	no	—
1328	#120	—	2	1	no	—
1329	#120	—	2	1	no	—
1330	#120	—	2	1	no	—
1331	#120	—	2	1	no	—
1332	#120	—	2	1	no	—
1333	#120	—	2	1	no	—
1334	#120	—	2	1	no	—
1335	#120	—	2	1	no	—
1336	#120	—	2	1	no	—
1337	#120	—	2	1	no	—
1338	#120	—	2	1	no	—
1339	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1340	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1341	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1342	C₄×D₄	—	2	1	no	—
1343	C₄×D₄	—	2	1	no	—
1344	C₄×D₄	—	2	1	no	—
1345	C₄×D₄	—	2	1	no	—
1346	C₄×D₄	—	2	1	no	—
1347	C₄×D₄	—	2	1	no	—
1348	C₄×D₄	—	2	1	no	—
1349	C₄×D₄	—	2	1	no	—
1350	C₄×D₄	—	2	1	no	—
1351	C₄×D₄	—	2	1	no	—
1352	C₄×D₄	—	2	1	no	—
1353	C₄×D₄	—	2	1	no	—
1354	C₄×D₄	—	2	1	no	—
1355	C₄×D₄	—	2	1	no	—
1356	C₄×D₄	—	2	1	no	—
1357	C₄×D₄	—	2	1	no	—
1358	C₄×D₄	—	2	1	no	—
1359	C₄×D₄	—	2	1	no	—
1360	C₄×D₄	—	2	1	no	—
1361	C₄×D₄	—	2	1	no	—
1362	C₄×D₄	—	2	1	no	—
1363	C₄×D₄	—	2	1	no	—
1364	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1365	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1366	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1367	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
1368	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1369	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1370	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1371	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1372	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1373	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1374	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1375	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1376	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1377	#117	—	2	1	no	—
1378	#117	—	2	1	no	—
1379	#117	—	2	1	no	—
1380	#117	C₂³×C₆₇	1	1	yes	characteristic
1381	#117	C₂³×C₆₇	1	1	yes	characteristic
1382	#117	C₂³×C₆₇	1	1	yes	characteristic
1383	C₂×C₄⋊C₄	—	2	1	no	—
1384	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1385	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1386	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1387	C₂×C₂²⋊C₄	—	2	1	no	—
1388	C₂×C₂²⋊C₄	—	2	1	no	—
1389	C₂×C₂²⋊C₄	—	2	1	no	—
1390	C₂×C₂²⋊C₄	—	2	1	no	—
1391	C₂×C₂²⋊C₄	—	2	1	no	—
1392	C₂×C₂²⋊C₄	—	2	1	no	—
1393	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1394	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1395	C₂×C₄²	—	2	1	no	—
1396	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1397	#107	C₂³×C₆₇	1	1	yes	characteristic
1398	#107	C₂³×C₆₇	1	1	yes	characteristic
1399	#107	C₂³×C₆₇	1	1	yes	characteristic
1400	#107	C₂³×C₆₇	1	1	yes	characteristic
1401	#106	C₂³×C₆₇	1	1	yes	characteristic
1402	#106	C₂³×C₆₇	1	1	yes	characteristic
1403	#106	C₂³×C₆₇	1	1	yes	characteristic
1404	#106	C₂³×C₆₇	1	1	yes	characteristic
1405	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1406	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1407	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1408	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1409	#103	C₂³×C₆₇	1	1	yes	characteristic
1410	#103	C₂³×C₆₇	1	1	yes	characteristic
1411	#103	C₂³×C₆₇	1	1	yes	characteristic
1412	#103	C₂³×C₆₇	1	1	yes	characteristic
1413	#103	C₂³×C₆₇	1	1	yes	characteristic
1414	#103	C₂³×C₆₇	1	1	yes	characteristic
1415	#103	C₂³×C₆₇	1	1	yes	characteristic
1416	#103	C₂³×C₆₇	1	1	yes	characteristic
1417	#103	C₂³×C₆₇	1	1	yes	characteristic
1418	#103	C₂³×C₆₇	1	1	yes	characteristic
1419	#103	C₂³×C₆₇	1	1	yes	characteristic
1420	#103	C₂³×C₆₇	1	1	yes	characteristic
1421	#103	C₂³×C₆₇	1	1	yes	characteristic
1422	#103	C₂³×C₆₇	1	1	yes	characteristic
1423	#102	C₂³×C₆₇	1	1	yes	characteristic
1424	#102	C₂³×C₆₇	1	1	yes	characteristic
1425	#102	C₂³×C₆₇	1	1	yes	characteristic
1426	#102	C₂³×C₆₇	1	1	yes	characteristic
1427	#102	C₂³×C₆₇	1	1	yes	characteristic
1428	#102	C₂³×C₆₇	1	1	yes	characteristic
1429	#102	C₂³×C₆₇	1	1	yes	characteristic
1430	#102	C₂³×C₆₇	1	1	yes	characteristic
1431	#102	C₂³×C₆₇	1	1	yes	characteristic
1432	#102	C₂³×C₆₇	1	1	yes	characteristic
1433	#102	C₂³×C₆₇	1	1	yes	characteristic
1434	#102	C₂³×C₆₇	1	1	yes	characteristic
1435	#102	C₂³×C₆₇	1	1	yes	characteristic
1436	#102	C₂³×C₆₇	1	1	yes	characteristic
1437	#102	C₂³×C₆₇	1	1	yes	characteristic
1438	#102	C₂³×C₆₇	1	1	yes	characteristic
1439	#102	C₂³×C₆₇	1	1	yes	characteristic
1440	#102	C₂³×C₆₇	1	1	yes	characteristic
1441	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1442	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1443	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1444	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1445	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1446	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1447	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1448	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1449	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1450	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1451	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1452	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1453	#97	C₂³×C₆₇	1	1	yes	characteristic
1454	#97	C₂³×C₆₇	1	1	yes	characteristic
1455	#97	C₂³×C₆₇	1	1	yes	characteristic
1456	#97	C₂³×C₆₇	1	1	yes	characteristic
1457	C₂⁴	—	2	1	no	—
1458	C₂⁴	—	2	1	no	—
1459	C₂⁴	—	2	1	no	—
1460	C₂⁴	—	2	1	no	—
1461	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1462	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1463	#41	—	2	2	no	—
1464	#41	—	2	2	no	—
1465	#41	—	2	2	no	—
1466	#41	—	2	2	no	—
1467	#41	—	2	2	no	—
1468	#41	—	2	2	no	—
1469	#41	—	4	1	no	—
1470	#41	—	4	1	no	—
1471	#41	—	4	1	no	—
1472	#41	—	4	1	no	—
1473	#41	—	4	1	no	—
1474	#41	—	4	1	no	—
1475	#41	—	4	1	no	—
1476	#41	—	4	1	no	—
1477	#41	—	4	4	no	—
1478	#41	—	4	4	no	—
1479	#41	—	4	1	no	—
1480	#41	—	4	1	no	—
1481	#41	—	4	1	no	—
1482	#41	—	4	1	no	—
1483	#41	—	4	4	no	—
1484	#41	—	4	4	no	—
1485	#41	—	8	2	no	—
1486	C₂×Q₈	—	2	1	no	—
1487	C₂×Q₈	—	2	1	no	—
1488	C₂×Q₈	—	2	1	no	—
1489	C₂×Q₈	—	2	2	no	—
1490	C₂×Q₈	—	2	2	no	—
1491	C₂×Q₈	—	4	1	no	—
1492	C₂×Q₈	—	4	1	no	—
1493	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1494	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1495	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1496	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	2	no	—
1499	C₂×D₄	—	2	2	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	2	1	no	—
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	2	1	no	—
1516	C₂×D₄	—	2	1	no	—
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	2	1	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	2	1	no	—
1522	C₂×D₄	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	2	1	no	—
1526	C₂×D₄	—	2	1	no	—
1527	C₂×D₄	—	2	1	no	—
1528	C₂×D₄	—	2	1	no	—
1529	C₂×D₄	—	4	1	no	—
1530	C₂×D₄	—	4	1	no	—
1531	C₂×D₄	—	4	1	no	—
1532	C₂×D₄	—	4	1	no	—
1533	C₂×D₄	—	4	1	no	—
1534	C₂×D₄	—	4	1	no	—
1535	C₂×D₄	—	4	2	no	—
1536	C₂×D₄	—	4	4	no	—
1537	C₂×D₄	—	4	4	no	—
1538	C₂×D₄	—	4	4	no	—
1539	C₂×D₄	—	4	4	no	—
1540	C₂×D₄	—	8	2	no	—
1541	C₂×D₄	—	8	2	no	—
1542	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1543	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1544	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1545	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1546	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1547	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1548	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1549	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1550	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1551	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	2	1	no	—
1556	C₂²×C₄	—	2	1	no	—
1557	C₂²×C₄	—	2	1	no	—
1558	C₂²×C₄	—	2	1	no	—
1559	C₂²×C₄	—	2	1	no	—
1560	C₂²×C₄	—	2	1	no	—
1561	C₂²×C₄	—	2	1	no	—
1562	C₂²×C₄	—	2	1	no	—
1563	C₂²×C₄	—	2	1	no	—
1564	C₂²×C₄	—	2	1	no	—
1565	C₂²×C₄	—	2	1	no	—
1566	C₂²×C₄	—	2	1	no	—
1567	C₂²×C₄	—	2	1	no	—
1568	C₂²×C₄	—	2	1	no	—
1569	C₂²×C₄	—	2	1	no	—
1570	C₂²×C₄	—	4	1	no	—
1571	C₂²×C₄	—	4	1	no	—
1572	C₂²×C₄	—	4	1	no	—
1573	C₂²×C₄	—	4	1	no	—
1574	C₂²×C₄	—	4	4	no	—
1575	C₂²×C₄	—	4	4	no	—
1576	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1577	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1578	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1579	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1580	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1581	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1582	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1583	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1584	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1585	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1586	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1587	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1588	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1589	Q₁₆	—	2	2	no	—
1590	Q₁₆	—	4	1	no	—
1591	Q₁₆	—	4	1	no	—
1592	SD₁₆	—	2	2	no	—
1593	SD₁₆	—	2	2	no	—
1594	SD₁₆	—	2	2	no	—
1595	SD₁₆	—	2	2	no	—
1596	SD₁₆	—	4	1	no	—
1597	SD₁₆	—	4	1	no	—
1598	SD₁₆	—	4	1	no	—
1599	SD₁₆	—	4	1	no	—
1600	SD₁₆	—	4	1	no	—
1601	SD₁₆	—	4	1	no	—
1602	SD₁₆	—	4	1	no	—
1603	SD₁₆	—	4	1	no	—
1604	D₈	—	2	2	no	—
1605	D₈	—	2	2	no	—
1606	D₈	—	2	2	no	—
1607	D₈	—	4	1	no	—
1608	D₈	—	4	1	no	—
1609	D₈	—	4	1	no	—
1610	D₈	—	4	1	no	—
1611	D₈	—	4	1	no	—
1612	D₈	—	4	1	no	—
1613	M₁₆	—	4	1	no	—
1614	M₁₆	—	4	1	no	—
1615	M₁₆	—	4	1	no	—
1616	M₁₆	—	4	1	no	—
1617	C₂×C₈	—	4	1	no	—
1618	C₂×C₈	—	4	1	no	—
1619	C₂×C₈	—	4	1	no	—
1620	C₂×C₈	—	4	1	no	—
1621	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1622	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1623	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1624	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1625	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1626	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1627	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1628	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1629	C₄⋊C₄	—	2	1	no	—
1630	C₄⋊C₄	—	2	1	no	—
1631	C₄⋊C₄	—	2	1	no	—
1632	C₄⋊C₄	—	2	1	no	—
1633	C₄⋊C₄	—	2	1	no	—
1634	C₄⋊C₄	—	2	1	no	—
1635	C₄⋊C₄	—	2	1	no	—
1636	C₄⋊C₄	—	2	1	no	—
1637	C₄⋊C₄	—	2	1	no	—
1638	C₄⋊C₄	—	2	1	no	—
1639	C₄⋊C₄	—	2	1	no	—
1640	C₄⋊C₄	—	2	1	no	—
1641	C₄⋊C₄	—	2	1	no	—
1642	C₄⋊C₄	—	2	1	no	—
1643	C₄⋊C₄	—	2	1	no	—
1644	C₄⋊C₄	—	2	1	no	—
1645	C₄⋊C₄	—	2	1	no	—
1646	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1647	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1648	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1649	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1650	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1651	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1652	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1653	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1654	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1655	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
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	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	2	1	no	—
1676	C₂²⋊C₄	—	2	1	no	—
1677	C₂²⋊C₄	—	2	1	no	—
1678	C₂²⋊C₄	—	2	1	no	—
1679	C₂²⋊C₄	—	2	1	no	—
1680	C₂²⋊C₄	—	2	1	no	—
1681	C₂²⋊C₄	—	2	1	no	—
1682	C₂²⋊C₄	—	2	1	no	—
1683	C₂²⋊C₄	—	2	1	no	—
1684	C₂²⋊C₄	—	2	1	no	—
1685	C₂²⋊C₄	—	2	1	no	—
1686	C₂²⋊C₄	—	2	1	no	—
1687	C₂²⋊C₄	—	2	1	no	—
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1691	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1692	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1693	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1694	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1695	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1696	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1697	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1698	C₄²	—	2	1	no	—
1699	C₄²	—	2	1	no	—
1700	C₄²	—	2	1	no	—
1701	C₄²	—	2	1	no	—
1702	C₄²	—	2	1	no	—
1703	C₄²	—	2	1	no	—
1704	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1705	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1706	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1707	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1708	C₂³	—	2	1	no	—
1709	C₂³	—	2	2	no	—
1710	C₂³	—	2	1	no	—
1711	C₂³	—	2	1	no	—
1712	C₂³	—	2	1	no	—
1713	C₂³	—	2	1	no	—
1714	C₂³	—	2	1	no	—
1715	C₂³	—	4	1	no	—
1716	C₂³	—	4	1	no	—
1717	C₂³	—	4	1	no	—
1718	C₂³	—	4	1	no	—
1719	C₂³	—	4	1	no	—
1720	C₂³	—	4	2	no	—
1721	C₂³	—	4	2	no	—
1722	C₂³	—	4	2	no	—
1723	C₂³	—	4	2	no	—
1724	C₂³	—	4	2	no	—
1725	C₂³	—	4	2	no	—
1726	C₂³	—	8	1	no	—
1727	C₂³	—	8	1	no	—
1728	C₂³	—	8	1	no	—
1729	C₂³	—	8	1	no	—
1730	C₂³	—	8	1	no	—
1731	C₂³	—	8	1	no	—
1732	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1733	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1734	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1735	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1736	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1737	Q₈	—	2	1	no	—
1738	Q₈	—	2	1	no	—
1739	Q₈	—	2	1	no	—
1740	Q₈	—	2	1	no	—
1741	Q₈	—	2	1	no	—
1742	Q₈	—	2	1	no	—
1743	Q₈	—	2	1	no	—
1744	Q₈	—	4	2	no	—
1745	Q₈	—	4	2	no	—
1746	Q₈	—	8	1	no	—
1747	Q₈	H(5,𝔽₂)×C₆₇	1	2	yes	—
1748	D₄	—	2	4	no	—
1749	D₄	—	2	2	no	—
1750	D₄	—	2	2	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	2	1	no	—
1755	D₄	—	2	1	no	—
1756	D₄	—	2	1	no	—
1757	D₄	—	2	1	no	—
1758	D₄	—	2	1	no	—
1759	D₄	—	2	1	no	—
1760	D₄	—	2	1	no	—
1761	D₄	—	2	1	no	—
1762	D₄	—	4	1	no	—
1763	D₄	—	4	1	no	—
1764	D₄	—	4	2	no	—
1765	D₄	—	4	2	no	—
1766	D₄	—	4	2	no	—
1767	D₄	—	4	2	no	—
1768	D₄	—	4	2	no	—
1769	D₄	—	4	2	no	—
1770	D₄	—	4	2	no	—
1771	D₄	—	4	2	no	—
1772	D₄	—	4	2	no	—
1773	D₄	—	4	2	no	—
1774	D₄	—	4	2	no	—
1775	D₄	—	4	2	no	—
1776	D₄	—	4	2	no	—
1777	D₄	—	4	2	no	—
1778	D₄	—	4	2	no	—
1779	D₄	—	4	2	no	—
1780	D₄	—	4	2	no	—
1781	D₄	—	8	1	no	—
1782	D₄	—	8	1	no	—
1783	D₄	—	8	1	no	—
1784	D₄	—	8	1	no	—
1785	D₄	—	8	1	no	—
1786	D₄	—	8	1	no	—
1787	D₄	—	8	1	no	—
1788	D₄	—	8	1	no	—
1789	D₄	—	8	1	no	—
1790	D₄	—	8	1	no	—
1791	D₄	—	8	1	no	—
1792	D₄	—	8	1	no	—
1793	D₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1794	C₂×C₄	—	2	4	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	2	1	no	—
1810	C₂×C₄	—	2	1	no	—
1811	C₂×C₄	—	2	1	no	—
1812	C₂×C₄	—	2	1	no	—
1813	C₂×C₄	—	2	1	no	—
1814	C₂×C₄	—	2	1	no	—
1815	C₂×C₄	—	4	1	no	—
1816	C₂×C₄	—	4	1	no	—
1817	C₂×C₄	—	4	1	no	—
1818	C₂×C₄	—	4	1	no	—
1819	C₂×C₄	—	4	1	no	—
1820	C₂×C₄	—	4	1	no	—
1821	C₂×C₄	—	4	1	no	—
1822	C₂×C₄	—	4	1	no	—
1823	C₂×C₄	—	4	2	no	—
1824	C₂×C₄	—	4	2	no	—
1825	C₂×C₄	—	4	2	no	—
1826	C₂×C₄	—	4	2	no	—
1827	C₂×C₄	—	4	2	no	—
1828	C₂×C₄	—	4	2	no	—
1829	C₂×C₄	—	4	2	no	—
1830	C₂×C₄	—	4	2	no	—
1831	C₂×C₄	—	4	2	no	—
1832	C₂×C₄	—	4	2	no	—
1833	C₂×C₄	—	8	1	no	—
1834	C₂×C₄	—	8	1	no	—
1835	C₂×C₄	—	8	1	no	—
1836	C₂×C₄	—	8	1	no	—
1837	C₂×C₄	—	8	1	no	—
1838	C₂×C₄	—	8	1	no	—
1839	C₂×C₄	—	8	1	no	—
1840	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1841	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1842	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1843	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1844	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1845	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1846	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1847	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1848	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1849	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1850	C₈	—	2	1	no	—
1851	C₈	—	2	1	no	—
1852	C₈	—	2	1	no	—
1853	C₈	—	2	1	no	—
1854	C₈	—	2	1	no	—
1855	C₈	—	2	1	no	—
1856	C₈	—	2	1	no	—
1857	C₈	—	2	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	2	1	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	1	no	—
1870	C₂²	—	2	2	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	4	1	no	—
1882	C₂²	—	4	1	no	—
1883	C₂²	—	4	1	no	—
1884	C₂²	—	4	1	no	—
1885	C₂²	—	4	1	no	—
1886	C₂²	—	4	1	no	—
1887	C₂²	—	4	1	no	—
1888	C₂²	—	4	1	no	—
1889	C₂²	—	4	1	no	—
1890	C₂²	—	8	2	no	—
1891	C₂²	—	8	4	no	—
1892	C₂²	—	8	2	no	—
1893	C₂²	—	8	4	no	—
1894	C₂²	—	16	2	no	—
1895	C₂²	—	16	2	no	—
1896	C₂²	#575×C₆₇	1	2	yes	—
1897	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	2	1	no	—
1903	C₄	—	2	2	no	—
1904	C₄	—	2	1	no	—
1905	C₄	—	2	1	no	—
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	4	1	no	—
1909	C₄	—	4	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	1	no	—
1912	C₄	—	4	1	no	—
1913	C₄	—	4	1	no	—
1914	C₄	—	4	1	no	—
1915	C₄	—	4	1	no	—
1916	C₄	—	4	1	no	—
1917	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1918	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1919	C₂	—	2	2	no	—
1920	C₂	—	4	1	no	—
1921	C₂	—	4	1	no	—
1922	C₂	—	4	1	no	—
1923	C₂	—	4	1	no	—
1924	C₂	—	4	2	no	—
1925	C₂	—	8	1	no	—
1926	C₂	—	8	1	no	—
1927	C₂	—	8	1	no	—
1928	C₂	—	8	1	no	—
1929	C₂	—	8	1	no	—
1930	C₂	C₆₇×#3484	1	1	yes	characteristic
1931	C₂	C₂×#575×C₆₇	1	1	yes	characteristic
1932	C₂	C₆₇×#3585	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×#3519	C₂	semidirect
2. D₄×#41×C₆₇	C₂	semidirect
3. C₆₇×#3321	C₂	semidirect
4. C₆₇×#3320	C₂	semidirect
5. C₆₇×#3319	C₂	semidirect
6. C₆₇×#3318	C₂	semidirect
7. C₆₇×#3316	C₂	semidirect
8. C₆₇×#3314	C₂	semidirect
9. C₆₇×#3309	C₂	semidirect
10. C₆₇×#3307	C₂	semidirect
11. C₆₇×#3271	C₂	semidirect
12. C₆₇×#3268	C₂	semidirect
13. C₆₇×#3268	C₂	semidirect
14. C₆₇×#3267	C₂	semidirect
15. C₆₇×#3266	C₂	semidirect
16. C₆₇×#3265	C₂	semidirect
17. C₆₇×#3264	C₂	semidirect
18. C₆₇×#3264	C₂	semidirect
19. C₆₇×#3219	C₂	semidirect
20. C₆₇×#3214	C₂	semidirect
21. C₆₇×#3197	C₂	semidirect
22. C₆₇×#3194	C₂	semidirect
23. C₆₇×#3191	C₂	semidirect
24. C₆₇×#3188	C₂	semidirect
25. C₆₇×#3115	C₂	semidirect
26. C₆₇×#3111	C₂	semidirect
27. C₆₇×#3006	C₂	semidirect
28. C₆₇×#3005	C₂	semidirect
29. C₆₇×#3002	C₂	semidirect
30. C₂×#449×C₆₇	C₂	semidirect
31. C₆₇×#2973	C₂	semidirect
32. C₂²×#41×C₆₇	C₂²	semidirect
33. C₂²×#41×C₆₇	C₂²	semidirect
34. C₂×#137×C₆₇	C₂²	semidirect
35. C₂×AGL(1,ℤ/8)×C₆₇	C₂²	semidirect
36. C₂×AGL(1,ℤ/8)×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×SD₁₆×C₆₇	C₂²	semidirect
41. C₂²×D₈×C₆₇	C₂²	semidirect
42. #555×C₆₇	C₂²	semidirect
43. #554×C₆₇	C₂²	semidirect
46. #553×C₆₇	C₂²	semidirect
47. #550×C₆₇	C₂²	semidirect
48. #550×C₆₇	C₂²	semidirect
49. D₄×Q₈×C₆₇	C₂²	semidirect
51. #548×C₆₇	C₂²	semidirect
53. #547×C₆₇	C₂²	semidirect
60. #546×C₆₇	C₂²	semidirect
61. #546×C₆₇	C₂²	semidirect
64. D₄²×C₆₇	C₂²	semidirect
65. D₄²×C₆₇	C₂²	semidirect
70. #532×C₆₇	C₂²	semidirect
71. #532×C₆₇	C₂²	semidirect
72. #529×C₆₇	C₂²	semidirect
75. #525×C₆₇	C₂²	semidirect
76. #525×C₆₇	C₂²	semidirect
77. #525×C₆₇	C₂²	semidirect
78. #525×C₆₇	C₂²	semidirect
79. C₂×#121×C₆₇	C₂²	semidirect
80. C₂×#121×C₆₇	C₂²	semidirect
82. C₄×#41×C₆₇	C₂²	semidirect
85. #497×C₆₇	C₂²	semidirect
86. #496×C₆₇	C₂²	semidirect
87. #496×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. #484×C₆₇	C₂²	semidirect
97. #483×C₆₇	C₂²	semidirect
98. #482×C₆₇	C₂²	semidirect
99. #482×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. #475×C₆₇	C₂²	semidirect
108. #474×C₆₇	C₂²	semidirect
109. #470×C₆₇	C₂²	semidirect
110. #469×C₆₇	C₂²	semidirect
111. #469×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. #466×C₆₇	C₂²	semidirect
119. #466×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. #461×C₆₇	C₂²	semidirect
132. #461×C₆₇	C₂²	semidirect
133. #460×C₆₇	C₂²	semidirect
134. #459×C₆₇	C₂²	semidirect
135. #459×C₆₇	C₂²	semidirect
136. #459×C₆₇	C₂²	semidirect
137. #452×C₆₇	C₂²	semidirect
138. #452×C₆₇	C₂²	semidirect
139. #452×C₆₇	C₂²	semidirect
140. #452×C₆₇	C₂²	semidirect
141. #452×C₆₇	C₂²	semidirect
142. #452×C₆₇	C₂²	semidirect
143. #452×C₆₇	C₂²	semidirect
144. #451×C₆₇	C₂²	semidirect
145. #450×C₆₇	C₂²	semidirect
146. #450×C₆₇	C₂²	semidirect
147. #450×C₆₇	C₂²	semidirect
149. #449×C₆₇	C₂²	semidirect
150. #449×C₆₇	C₂²	semidirect
151. #449×C₆₇	C₂²	semidirect
152. #449×C₆₇	C₂²	semidirect
153. #449×C₆₇	C₂²	semidirect
154. #449×C₆₇	C₂²	semidirect
155. #449×C₆₇	C₂²	semidirect
156. #449×C₆₇	C₂²	semidirect
157. #449×C₆₇	C₂²	semidirect
158. #449×C₆₇	C₂²	semidirect
159. #449×C₆₇	C₂²	semidirect
160. #449×C₆₇	C₂²	semidirect
161. #449×C₆₇	C₂²	semidirect
162. #449×C₆₇	C₂²	semidirect
163. #449×C₆₇	C₂²	semidirect
164. #449×C₆₇	C₂²	semidirect
165. #448×C₆₇	C₂²	semidirect
166. #448×C₆₇	C₂²	semidirect
167. #448×C₆₇	C₂²	semidirect
168. #447×C₆₇	C₂²	semidirect
169. #447×C₆₇	C₂²	semidirect
170. #447×C₆₇	C₂²	semidirect
171. #447×C₆₇	C₂²	semidirect
172. #447×C₆₇	C₂²	semidirect
173. #442×C₆₇	C₂²	semidirect
174. #442×C₆₇	C₂²	semidirect
175. #442×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
181. #435×C₆₇	C₂²	semidirect
182. #435×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
952. #61579	C₆₇	direct (N × H)
967. #3519	C₂×C₆₇	semidirect
968. D₄×#41	C₂×C₆₇	semidirect
969. #3321	C₂×C₆₇	semidirect
970. #3320	C₂×C₆₇	semidirect
971. #3319	C₂×C₆₇	semidirect
972. #3318	C₂×C₆₇	semidirect
973. #3316	C₂×C₆₇	semidirect
974. #3314	C₂×C₆₇	semidirect
975. #3309	C₂×C₆₇	semidirect
976. #3307	C₂×C₆₇	semidirect
977. #3271	C₂×C₆₇	semidirect
978. #3268	C₂×C₆₇	semidirect
979. #3268	C₂×C₆₇	semidirect
980. #3267	C₂×C₆₇	semidirect
981. #3266	C₂×C₆₇	semidirect
982. #3265	C₂×C₆₇	semidirect
983. #3264	C₂×C₆₇	semidirect
984. #3264	C₂×C₆₇	semidirect
985. #3219	C₂×C₆₇	semidirect
986. #3214	C₂×C₆₇	semidirect
987. #3197	C₂×C₆₇	semidirect
988. #3194	C₂×C₆₇	semidirect
989. #3191	C₂×C₆₇	semidirect
990. #3188	C₂×C₆₇	semidirect
991. #3115	C₂×C₆₇	semidirect
992. #3111	C₂×C₆₇	semidirect
993. #3006	C₂×C₆₇	semidirect
994. #3005	C₂×C₆₇	semidirect
995. #3002	C₂×C₆₇	semidirect
996. C₂×#449	C₂×C₆₇	semidirect
997. #2973	C₂×C₆₇	semidirect
998. C₆₇	#61579	direct (N × H)
999. C₂²×#41	C₂²×C₆₇	semidirect
1000. C₂²×#41	C₂²×C₆₇	semidirect
1001. C₂×#137	C₂²×C₆₇	semidirect
1002. C₂×AGL(1,ℤ/8)	C₂²×C₆₇	semidirect
1003. C₂×AGL(1,ℤ/8)	C₂²×C₆₇	semidirect
1004. C₂×AGL(1,ℤ/8)	C₂²×C₆₇	semidirect
1005. C₂×#135	C₂²×C₆₇	semidirect
1006. C₂×#135	C₂²×C₆₇	semidirect
1007. C₂²×SD₁₆	C₂²×C₆₇	semidirect
1008. C₂²×D₈	C₂²×C₆₇	semidirect
1009. #555	C₂²×C₆₇	semidirect
1010. #554	C₂²×C₆₇	semidirect
1013. #553	C₂²×C₆₇	semidirect
1014. #550	C₂²×C₆₇	semidirect
1015. #550	C₂²×C₆₇	semidirect
1016. D₄×Q₈	C₂²×C₆₇	semidirect
1018. #548	C₂²×C₆₇	semidirect
1020. #547	C₂²×C₆₇	semidirect
1027. #546	C₂²×C₆₇	semidirect
1028. #546	C₂²×C₆₇	semidirect
1031. D₄²	C₂²×C₆₇	semidirect
1032. D₄²	C₂²×C₆₇	semidirect
1037. #532	C₂²×C₆₇	semidirect
1038. #532	C₂²×C₆₇	semidirect
1039. #529	C₂²×C₆₇	semidirect
1042. #525	C₂²×C₆₇	semidirect
1043. #525	C₂²×C₆₇	semidirect
1044. #525	C₂²×C₆₇	semidirect
1045. #525	C₂²×C₆₇	semidirect
1046. C₂×#121	C₂²×C₆₇	semidirect
1047. C₂×#121	C₂²×C₆₇	semidirect
1049. C₄×#41	C₂²×C₆₇	semidirect
1052. #497	C₂²×C₆₇	semidirect
1053. #496	C₂²×C₆₇	semidirect
1054. #496	C₂²×C₆₇	semidirect
1055. #496	C₂²×C₆₇	semidirect
1056. #491	C₂²×C₆₇	semidirect
1057. #490	C₂²×C₆₇	semidirect
1058. #489	C₂²×C₆₇	semidirect
1059. #489	C₂²×C₆₇	semidirect
1060. #485	C₂²×C₆₇	semidirect
1061. #485	C₂²×C₆₇	semidirect
1062. #485	C₂²×C₆₇	semidirect
1063. #484	C₂²×C₆₇	semidirect
1064. #483	C₂²×C₆₇	semidirect
1065. #482	C₂²×C₆₇	semidirect
1066. #482	C₂²×C₆₇	semidirect
1067. #482	C₂²×C₆₇	semidirect
1068. #482	C₂²×C₆₇	semidirect
1069. #482	C₂²×C₆₇	semidirect
1070. #481	C₂²×C₆₇	semidirect
1071. #480	C₂²×C₆₇	semidirect
1072. #479	C₂²×C₆₇	semidirect
1073. #478	C₂²×C₆₇	semidirect
1074. #475	C₂²×C₆₇	semidirect
1075. #474	C₂²×C₆₇	semidirect
1076. #470	C₂²×C₆₇	semidirect
1077. #469	C₂²×C₆₇	semidirect
1078. #469	C₂²×C₆₇	semidirect
1079. #469	C₂²×C₆₇	semidirect
1080. #468	C₂²×C₆₇	semidirect
1081. #468	C₂²×C₆₇	semidirect
1082. #468	C₂²×C₆₇	semidirect
1083. #468	C₂²×C₆₇	semidirect
1084. #467	C₂²×C₆₇	semidirect
1085. #466	C₂²×C₆₇	semidirect
1086. #466	C₂²×C₆₇	semidirect
1087. #466	C₂²×C₆₇	semidirect
1088. #465	C₂²×C₆₇	semidirect
1089. #465	C₂²×C₆₇	semidirect
1090. #465	C₂²×C₆₇	semidirect
1091. #465	C₂²×C₆₇	semidirect
1092. #464	C₂²×C₆₇	semidirect
1093. #464	C₂²×C₆₇	semidirect
1094. #464	C₂²×C₆₇	semidirect
1095. #463	C₂²×C₆₇	semidirect
1096. #463	C₂²×C₆₇	semidirect
1097. #463	C₂²×C₆₇	semidirect
1098. #461	C₂²×C₆₇	semidirect
1099. #461	C₂²×C₆₇	semidirect
1100. #460	C₂²×C₆₇	semidirect
1101. #459	C₂²×C₆₇	semidirect
1102. #459	C₂²×C₆₇	semidirect
1103. #459	C₂²×C₆₇	semidirect
1104. #452	C₂²×C₆₇	semidirect
1105. #452	C₂²×C₆₇	semidirect
1106. #452	C₂²×C₆₇	semidirect
1107. #452	C₂²×C₆₇	semidirect
1108. #452	C₂²×C₆₇	semidirect
1109. #452	C₂²×C₆₇	semidirect
1110. #452	C₂²×C₆₇	semidirect
1111. #451	C₂²×C₆₇	semidirect
1112. #450	C₂²×C₆₇	semidirect
1113. #450	C₂²×C₆₇	semidirect
1114. #450	C₂²×C₆₇	semidirect
1116. #449	C₂²×C₆₇	semidirect
1117. #449	C₂²×C₆₇	semidirect
1118. #449	C₂²×C₆₇	semidirect
1119. #449	C₂²×C₆₇	semidirect
1120. #449	C₂²×C₆₇	semidirect
1121. #449	C₂²×C₆₇	semidirect
1122. #449	C₂²×C₆₇	semidirect
1123. #449	C₂²×C₆₇	semidirect
1124. #449	C₂²×C₆₇	semidirect
1125. #449	C₂²×C₆₇	semidirect
1126. #449	C₂²×C₆₇	semidirect
1127. #449	C₂²×C₆₇	semidirect
1128. #449	C₂²×C₆₇	semidirect
1129. #449	C₂²×C₆₇	semidirect
1130. #449	C₂²×C₆₇	semidirect
1131. #449	C₂²×C₆₇	semidirect
1132. #448	C₂²×C₆₇	semidirect
1133. #448	C₂²×C₆₇	semidirect
1134. #448	C₂²×C₆₇	semidirect
1135. #447	C₂²×C₆₇	semidirect
1136. #447	C₂²×C₆₇	semidirect
1137. #447	C₂²×C₆₇	semidirect
1138. #447	C₂²×C₆₇	semidirect
1139. #447	C₂²×C₆₇	semidirect
1140. #442	C₂²×C₆₇	semidirect
1141. #442	C₂²×C₆₇	semidirect
1142. #442	C₂²×C₆₇	semidirect
1143. #441	C₂²×C₆₇	semidirect
1144. #440	C₂²×C₆₇	semidirect
1145. #440	C₂²×C₆₇	semidirect
1146. #440	C₂²×C₆₇	semidirect
1147. #440	C₂²×C₆₇	semidirect
1148. #435	C₂²×C₆₇	semidirect
1149. #435	C₂²×C₆₇	semidirect
1150. #435	C₂²×C₆₇	semidirect
1151. #435	C₂²×C₆₇	semidirect
1152. #435	C₂²×C₆₇	semidirect
1153. #435	C₂²×C₆₇	semidirect
1154. #435	C₂²×C₆₇	semidirect
1155. #435	C₂²×C₆₇	semidirect
1156. #432	C₂²×C₆₇	semidirect
1157. #432	C₂²×C₆₇	semidirect
1158. #419	C₂²×C₆₇	semidirect
1159. #418	C₂²×C₆₇	semidirect
1160. #417	C₂²×C₆₇	semidirect
1161. #417	C₂²×C₆₇	semidirect
1162. #416	C₂²×C₆₇	semidirect
1163. #416	C₂²×C₆₇	semidirect
1164. C₂×#103	C₂²×C₆₇	semidirect
1165. C₂×#102	C₂²×C₆₇	semidirect
1166. #407	C₂²×C₆₇	semidirect
1167. #407	C₂²×C₆₇	semidirect
1168. C₂×C₂²⋊C₈	C₂²×C₆₇	semidirect
1169. 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×#3519	2
D₄×#41×C₆₇	2
C₆₇×#3321	2
C₆₇×#3320	2
C₆₇×#3319	2
C₆₇×#3318	2
C₆₇×#3316	2
C₆₇×#3314	2
C₆₇×#3309	2
C₆₇×#3307	2
C₆₇×#3271	2
C₆₇×#3268	2
C₆₇×#3267	2
C₆₇×#3266	2
C₆₇×#3265	2
C₆₇×#3264	2
C₆₇×#3219	2
C₆₇×#3214	2
C₆₇×#3197	2
C₆₇×#3194	2
C₆₇×#3191	2
C₆₇×#3188	2
C₆₇×#3115	2
C₆₇×#3111	2
C₆₇×#3006	2
C₆₇×#3005	2
C₆₇×#3002	2
C₂×#449×C₆₇	2
C₆₇×#2973	2
#61579	67

Subgroups — C67×#61579 #30740830

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#61579 #30740830