Subgroups — C₆₇×#61001 #30740252

Order 17152.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₇×#3494	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#3250	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#3248	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#3247	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#3246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#3244	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#3244	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#3242	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#3241	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#3224	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#3222	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#3221	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#3191	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#3190	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#3188	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#3187	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#3181	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#3180	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#3168	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#3167	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#3126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#3125	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#3123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#3121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₇×#3119	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#433×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	#556×C₆₇	—	2	1	no	—
33	#555×C₆₇	—	2	1	no	—
34	#554×C₆₇	—	2	1	no	—
35	#553×C₆₇	—	2	1	no	—
36	#553×C₆₇	—	2	1	no	—
37	#552×C₆₇	—	2	1	no	—
38	#552×C₆₇	—	2	1	no	—
39	#552×C₆₇	—	2	1	no	—
40	#552×C₆₇	—	2	1	no	—
41	#551×C₆₇	—	2	1	no	—
42	#551×C₆₇	—	2	1	no	—
43	#551×C₆₇	—	2	1	no	—
44	#551×C₆₇	—	2	1	no	—
45	#547×C₆₇	—	2	1	no	—
46	#546×C₆₇	—	2	1	no	—
47	#546×C₆₇	—	2	1	no	—
48	#544×C₆₇	C₂²	1	1	yes	characteristic
49	#544×C₆₇	C₂²	1	1	yes	characteristic, complemented
50	#542×C₆₇	C₂²	1	1	yes	characteristic
51	#542×C₆₇	C₂²	1	1	yes	characteristic
52	#542×C₆₇	C₂²	1	1	yes	characteristic
53	#542×C₆₇	C₂²	1	1	yes	characteristic
54	#541×C₆₇	C₂²	1	1	yes	characteristic
55	#541×C₆₇	C₂²	1	1	yes	characteristic
56	#540×C₆₇	C₂²	1	1	yes	characteristic
57	#540×C₆₇	C₂²	1	1	yes	characteristic
58	#536×C₆₇	C₂²	1	1	yes	characteristic, complemented
59	#535×C₆₇	C₂²	1	1	yes	characteristic
60	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
61	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
62	#532×C₆₇	C₂²	1	1	yes	characteristic
63	#532×C₆₇	C₂²	1	1	yes	characteristic
64	#529×C₆₇	C₂²	1	1	yes	characteristic
65	#529×C₆₇	C₂²	1	1	yes	characteristic
66	#529×C₆₇	C₂²	1	1	yes	characteristic, complemented
67	#529×C₆₇	C₂²	1	1	yes	characteristic, complemented
68	#525×C₆₇	C₂²	1	1	yes	characteristic
69	#525×C₆₇	C₂²	1	1	yes	characteristic
70	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
71	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
72	#520×C₆₇	C₂²	1	1	yes	characteristic
73	#520×C₆₇	C₂²	1	1	yes	characteristic, complemented
74	#519×C₆₇	C₂²	1	1	yes	characteristic, complemented
75	#518×C₆₇	C₂²	1	1	yes	characteristic
76	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
77	#501×C₆₇	C₂²	1	1	yes	characteristic, complemented
78	#501×C₆₇	C₂²	1	1	yes	characteristic, complemented
79	#499×C₆₇	C₂²	1	1	yes	characteristic, complemented
80	#498×C₆₇	C₂²	1	1	yes	characteristic, complemented
81	#497×C₆₇	C₂²	1	1	yes	characteristic, complemented
82	#496×C₆₇	C₂²	1	1	yes	characteristic, complemented
83	#495×C₆₇	C₂²	1	1	yes	characteristic, complemented
84	#492×C₆₇	C₂²	1	1	yes	characteristic, complemented
85	#491×C₆₇	C₂²	1	1	yes	characteristic, complemented
86	#490×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#489×C₆₇	C₂²	1	1	yes	characteristic, complemented
88	#489×C₆₇	C₂²	1	1	yes	characteristic, complemented
89	#488×C₆₇	C₂²	1	1	yes	characteristic, complemented
90	#488×C₆₇	C₂²	1	1	yes	characteristic, complemented
91	#487×C₆₇	C₂²	1	1	yes	characteristic, complemented
92	#486×C₆₇	C₂²	1	1	yes	characteristic, complemented
93	#485×C₆₇	C₂²	1	1	yes	characteristic
94	#485×C₆₇	C₂²	1	1	yes	characteristic
95	#485×C₆₇	C₂²	1	1	yes	characteristic
96	#485×C₆₇	C₂²	1	1	yes	characteristic, complemented
97	#484×C₆₇	C₂²	1	1	yes	characteristic
98	#483×C₆₇	C₂²	1	1	yes	characteristic
99	#483×C₆₇	C₂²	1	1	yes	characteristic
100	#483×C₆₇	C₂²	1	1	yes	characteristic, complemented
101	#482×C₆₇	C₂²	1	1	yes	characteristic
102	#482×C₆₇	C₂²	1	1	yes	characteristic
103	#482×C₆₇	C₂²	1	1	yes	characteristic
104	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
105	#481×C₆₇	C₂²	1	1	yes	characteristic
106	#481×C₆₇	C₂²	1	1	yes	characteristic
107	#481×C₆₇	C₂²	1	1	yes	characteristic
108	#480×C₆₇	C₂²	1	1	yes	characteristic, complemented
109	#479×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#479×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#479×C₆₇	C₂²	1	1	yes	characteristic, complemented
112	#479×C₆₇	C₂²	1	1	yes	characteristic, complemented
113	#478×C₆₇	C₂²	1	1	yes	characteristic, complemented
114	#478×C₆₇	C₂²	1	1	yes	characteristic, complemented
115	#478×C₆₇	C₂²	1	1	yes	characteristic, complemented
116	#478×C₆₇	C₂²	1	1	yes	characteristic, complemented
117	#477×C₆₇	C₂²	1	1	yes	characteristic, complemented
118	#476×C₆₇	C₂²	1	1	yes	characteristic, complemented
119	#476×C₆₇	C₂²	1	1	yes	characteristic, complemented
120	#476×C₆₇	C₂²	1	1	yes	characteristic, complemented
121	#475×C₆₇	C₂²	1	1	yes	characteristic, complemented
122	#475×C₆₇	C₂²	1	1	yes	characteristic, complemented
123	#475×C₆₇	C₂²	1	1	yes	characteristic, complemented
124	#474×C₆₇	C₂²	1	1	yes	characteristic, complemented
125	#467×C₆₇	C₂²	1	1	yes	characteristic, complemented
126	#467×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	#467×C₆₇	C₂²	1	1	yes	characteristic, complemented
128	#466×C₆₇	C₂²	1	1	yes	characteristic
129	#466×C₆₇	C₂²	1	1	yes	characteristic
130	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
131	#465×C₆₇	C₂²	1	1	yes	characteristic
132	#465×C₆₇	C₂²	1	1	yes	characteristic
133	#465×C₆₇	C₂²	1	1	yes	characteristic
134	#465×C₆₇	C₂²	1	1	yes	characteristic
135	#465×C₆₇	C₂²	1	1	yes	characteristic
136	#465×C₆₇	C₂²	1	1	yes	characteristic
137	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
138	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
140	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
141	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
142	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
144	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
148	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
149	#462×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#461×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#461×C₆₇	C₂²	1	1	yes	characteristic, complemented
152	#461×C₆₇	C₂²	1	1	yes	characteristic, complemented
153	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
154	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
155	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
156	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
157	#452×C₆₇	C₂²	1	1	yes	characteristic
158	#452×C₆₇	C₂²	1	1	yes	characteristic
159	#452×C₆₇	C₂²	1	1	yes	characteristic
160	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
161	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
162	#450×C₆₇	C₂²	1	1	yes	characteristic
163	#450×C₆₇	C₂²	1	1	yes	characteristic
164	#450×C₆₇	C₂²	1	1	yes	characteristic
165	#449×C₆₇	C₂²	1	1	yes	characteristic
166	#449×C₆₇	C₂²	1	1	yes	characteristic
167	#449×C₆₇	C₂²	1	1	yes	characteristic
168	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#448×C₆₇	C₂²	1	1	yes	characteristic
170	#448×C₆₇	C₂²	1	1	yes	characteristic
171	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	#447×C₆₇	C₂²	1	1	yes	characteristic
173	#442×C₆₇	C₂²	1	1	yes	characteristic, complemented
174	#442×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	C₄×Q₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
183	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
184	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
186	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
187	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
188	C₄×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
189	#433×C₆₇	C₂²	1	1	yes	characteristic
190	#433×C₆₇	C₂²	1	1	yes	characteristic
191	#433×C₆₇	C₂²	1	1	yes	characteristic
192	#433×C₆₇	C₂²	1	1	yes	characteristic
193	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
194	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
195	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
196	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic
200	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic
201	C₂×#97×C₆₇	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×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	C₂³	1	1	yes	characteristic
206	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₆₇	—	2	1	no	—
209	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
224	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₆₇	—	2	1	no	—
232	C₄⋊Q₈×C₆₇	—	2	1	no	—
233	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
236	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
237	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
238	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
239	#127×C₆₇	C₂³	1	1	yes	characteristic
240	#127×C₆₇	C₂³	1	1	yes	characteristic
241	#126×C₆₇	—	2	1	no	—
242	#126×C₆₇	—	2	1	no	—
243	#126×C₆₇	—	2	1	no	—
244	#126×C₆₇	—	2	1	no	—
245	#126×C₆₇	—	2	1	no	—
246	#126×C₆₇	—	2	1	no	—
247	#126×C₆₇	—	2	1	no	—
248	#126×C₆₇	—	2	1	no	—
249	#126×C₆₇	—	2	1	no	—
250	#126×C₆₇	—	2	1	no	—
251	#126×C₆₇	—	2	1	no	—
252	#126×C₆₇	—	2	1	no	—
253	#125×C₆₇	—	2	1	no	—
254	#125×C₆₇	—	2	1	no	—
255	#125×C₆₇	—	2	1	no	—
256	#125×C₆₇	—	2	1	no	—
257	#125×C₆₇	—	2	1	no	—
258	#125×C₆₇	—	2	1	no	—
259	#125×C₆₇	—	2	1	no	—
260	#125×C₆₇	—	2	1	no	—
261	#125×C₆₇	C₂³	1	1	yes	characteristic
262	#125×C₆₇	C₂³	1	1	yes	characteristic
263	#125×C₆₇	C₂³	1	1	yes	characteristic
264	#125×C₆₇	C₂³	1	1	yes	characteristic
265	#124×C₆₇	—	2	1	no	—
266	#124×C₆₇	—	2	1	no	—
267	#124×C₆₇	—	2	1	no	—
268	#124×C₆₇	—	2	1	no	—
269	#124×C₆₇	—	2	1	no	—
270	#124×C₆₇	—	2	1	no	—
271	#124×C₆₇	C₂³	1	1	yes	characteristic
272	#124×C₆₇	C₂³	1	1	yes	characteristic
273	#124×C₆₇	C₂³	1	1	yes	characteristic
274	#124×C₆₇	C₂³	1	1	yes	characteristic
275	#123×C₆₇	—	2	1	no	—
276	#123×C₆₇	—	2	1	no	—
277	#123×C₆₇	—	2	1	no	—
278	#123×C₆₇	—	2	1	no	—
279	#123×C₆₇	—	2	1	no	—
280	#123×C₆₇	—	2	1	no	—
281	#123×C₆₇	—	2	1	no	—
282	#123×C₆₇	—	2	1	no	—
283	#123×C₆₇	—	2	1	no	—
284	#123×C₆₇	—	2	1	no	—
285	#123×C₆₇	—	2	1	no	—
286	#123×C₆₇	—	2	1	no	—
287	#123×C₆₇	—	2	1	no	—
288	#123×C₆₇	—	2	1	no	—
289	#123×C₆₇	—	2	1	no	—
290	#123×C₆₇	—	2	1	no	—
291	C₂²⋊Q₈×C₆₇	—	2	1	no	—
292	C₂²⋊Q₈×C₆₇	—	2	1	no	—
293	C₂²⋊Q₈×C₆₇	—	2	1	no	—
294	C₂²⋊Q₈×C₆₇	—	2	1	no	—
295	C₂²⋊Q₈×C₆₇	—	2	1	no	—
296	C₂²⋊Q₈×C₆₇	—	2	1	no	—
297	C₂²⋊Q₈×C₆₇	—	2	1	no	—
298	C₂²⋊Q₈×C₆₇	—	2	1	no	—
299	C₂²⋊Q₈×C₆₇	—	2	1	no	—
300	C₂²⋊Q₈×C₆₇	—	2	1	no	—
301	C₂²⋊Q₈×C₆₇	—	2	1	no	—
302	C₂²⋊Q₈×C₆₇	—	2	1	no	—
303	C₂²⋊Q₈×C₆₇	—	2	1	no	—
304	C₂²⋊Q₈×C₆₇	—	2	1	no	—
305	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
306	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
307	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
308	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
309	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
310	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
311	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
312	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
313	#121×C₆₇	—	2	1	no	—
314	#121×C₆₇	—	2	1	no	—
315	#121×C₆₇	—	2	1	no	—
316	#121×C₆₇	—	2	1	no	—
317	#121×C₆₇	—	2	1	no	—
318	#121×C₆₇	—	2	1	no	—
319	#121×C₆₇	—	2	1	no	—
320	#121×C₆₇	—	2	1	no	—
321	#121×C₆₇	—	2	1	no	—
322	#121×C₆₇	—	2	1	no	—
323	#121×C₆₇	C₂³	1	1	yes	characteristic
324	#121×C₆₇	C₂³	1	1	yes	characteristic
325	#121×C₆₇	C₂³	1	1	yes	characteristic
326	#121×C₆₇	C₂³	1	1	yes	characteristic
327	#121×C₆₇	C₂³	1	1	yes	characteristic
328	#121×C₆₇	C₂³	1	1	yes	characteristic
329	#121×C₆₇	C₂³	1	1	yes	characteristic
330	#121×C₆₇	C₂³	1	1	yes	characteristic
331	#120×C₆₇	—	2	1	no	—
332	#120×C₆₇	—	2	1	no	—
333	#120×C₆₇	—	2	1	no	—
334	#120×C₆₇	—	2	1	no	—
335	C₄×Q₈×C₆₇	—	2	1	no	—
336	C₄×Q₈×C₆₇	—	2	1	no	—
337	C₄×Q₈×C₆₇	—	2	1	no	—
338	C₄×Q₈×C₆₇	—	2	1	no	—
339	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₆₇	—	2	1	no	—
348	C₄×D₄×C₆₇	—	2	1	no	—
349	C₄×D₄×C₆₇	—	2	1	no	—
350	C₄×D₄×C₆₇	—	2	1	no	—
351	C₄×D₄×C₆₇	—	2	1	no	—
352	C₄×D₄×C₆₇	—	2	1	no	—
353	C₄×D₄×C₆₇	—	2	1	no	—
354	C₄×D₄×C₆₇	—	2	1	no	—
355	C₄×D₄×C₆₇	—	2	1	no	—
356	C₄×D₄×C₆₇	—	2	1	no	—
357	C₄×D₄×C₆₇	—	2	1	no	—
358	C₄×D₄×C₆₇	—	2	1	no	—
359	C₄×D₄×C₆₇	—	2	1	no	—
360	C₄×D₄×C₆₇	—	2	1	no	—
361	C₄×D₄×C₆₇	—	2	1	no	—
362	C₄×D₄×C₆₇	—	2	1	no	—
363	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
371	#117×C₆₇	—	2	1	no	—
372	#117×C₆₇	—	2	1	no	—
373	#117×C₆₇	—	2	1	no	—
374	#117×C₆₇	—	2	1	no	—
375	#117×C₆₇	—	2	1	no	—
376	#117×C₆₇	—	2	1	no	—
377	#117×C₆₇	—	2	1	no	—
378	#117×C₆₇	—	2	1	no	—
379	#117×C₆₇	—	2	1	no	—
380	#117×C₆₇	—	2	1	no	—
381	#117×C₆₇	D₄	1	1	yes	characteristic
382	#117×C₆₇	D₄	1	1	yes	characteristic
383	#117×C₆₇	D₄	1	1	yes	characteristic
384	#117×C₆₇	D₄	1	1	yes	characteristic
385	#117×C₆₇	C₂³	1	1	yes	characteristic
386	#117×C₆₇	C₂³	1	1	yes	characteristic
387	#117×C₆₇	C₂³	1	1	yes	characteristic
388	#117×C₆₇	C₂³	1	1	yes	characteristic
389	#117×C₆₇	C₂³	1	1	yes	characteristic
390	#117×C₆₇	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
392	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
393	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
394	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
398	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
403	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
404	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
406	#107×C₆₇	C₂³	1	1	yes	characteristic
407	#107×C₆₇	C₂³	1	1	yes	characteristic
408	#107×C₆₇	C₂³	1	1	yes	characteristic
409	#107×C₆₇	C₂³	1	1	yes	characteristic
410	#107×C₆₇	C₂³	1	1	yes	characteristic
411	#107×C₆₇	C₂³	1	1	yes	characteristic
412	#106×C₆₇	C₂³	1	1	yes	characteristic
413	#106×C₆₇	C₂³	1	1	yes	characteristic
414	#106×C₆₇	C₂³	1	1	yes	characteristic
415	#106×C₆₇	C₂³	1	1	yes	characteristic
416	#106×C₆₇	C₂³	1	1	yes	characteristic
417	#106×C₆₇	C₂³	1	1	yes	characteristic
418	#106×C₆₇	C₂³	1	1	yes	characteristic
419	#106×C₆₇	C₂³	1	1	yes	characteristic
420	#106×C₆₇	C₂³	1	1	yes	characteristic
421	#106×C₆₇	C₂³	1	1	yes	characteristic
422	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
423	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
430	#103×C₆₇	C₂³	1	1	yes	characteristic
431	#103×C₆₇	C₂³	1	1	yes	characteristic
432	#103×C₆₇	C₂³	1	1	yes	characteristic
433	#103×C₆₇	C₂³	1	1	yes	characteristic
434	#103×C₆₇	C₂³	1	1	yes	characteristic
435	#103×C₆₇	C₂³	1	1	yes	characteristic
436	#103×C₆₇	C₂³	1	1	yes	characteristic
437	#103×C₆₇	C₂³	1	1	yes	characteristic
438	#103×C₆₇	C₂³	1	1	yes	characteristic
439	#103×C₆₇	C₂³	1	1	yes	characteristic
440	#103×C₆₇	C₂³	1	1	yes	characteristic
441	#103×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	#102×C₆₇	C₂³	1	1	yes	characteristic
447	#102×C₆₇	C₂³	1	1	yes	characteristic
448	#102×C₆₇	C₂³	1	1	yes	characteristic
449	#102×C₆₇	C₂³	1	1	yes	characteristic
450	#102×C₆₇	C₂³	1	1	yes	characteristic
451	#102×C₆₇	C₂³	1	1	yes	characteristic
452	#102×C₆₇	C₂³	1	1	yes	characteristic
453	#102×C₆₇	C₂³	1	1	yes	characteristic
454	#102×C₆₇	C₂³	1	1	yes	characteristic
455	#102×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	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
470	#97×C₆₇	C₂³	1	1	yes	characteristic
471	#97×C₆₇	C₂³	1	1	yes	characteristic
472	#97×C₆₇	C₂³	1	1	yes	characteristic
473	#97×C₆₇	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
478	C₂⁴×C₆₇	—	2	1	no	—
479	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
480	#41×C₆₇	—	4	1	no	—
481	#41×C₆₇	—	4	1	no	—
482	#41×C₆₇	—	4	1	no	—
483	#41×C₆₇	—	4	1	no	—
484	#41×C₆₇	—	8	2	no	—
485	#41×C₆₇	—	8	2	no	—
486	C₂×Q₈×C₆₇	—	2	1	no	—
487	C₂×Q₈×C₆₇	—	2	1	no	—
488	C₂×Q₈×C₆₇	—	2	1	no	—
489	C₂×Q₈×C₆₇	—	2	1	no	—
490	C₂×Q₈×C₆₇	—	2	1	no	—
491	C₂×Q₈×C₆₇	—	4	1	no	—
492	C₂×Q₈×C₆₇	—	4	1	no	—
493	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₆₇	—	2	1	no	—
498	C₂×D₄×C₆₇	—	2	1	no	—
499	C₂×D₄×C₆₇	—	2	1	no	—
500	C₂×D₄×C₆₇	—	2	1	no	—
501	C₂×D₄×C₆₇	—	2	1	no	—
502	C₂×D₄×C₆₇	—	2	1	no	—
503	C₂×D₄×C₆₇	—	2	1	no	—
504	C₂×D₄×C₆₇	—	2	1	no	—
505	C₂×D₄×C₆₇	—	2	1	no	—
506	C₂×D₄×C₆₇	—	2	1	no	—
507	C₂×D₄×C₆₇	—	2	1	no	—
508	C₂×D₄×C₆₇	—	2	1	no	—
509	C₂×D₄×C₆₇	—	2	1	no	—
510	C₂×D₄×C₆₇	—	2	1	no	—
511	C₂×D₄×C₆₇	—	2	1	no	—
512	C₂×D₄×C₆₇	—	4	1	no	—
513	C₂×D₄×C₆₇	—	4	1	no	—
514	C₂×D₄×C₆₇	—	8	2	no	—
515	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₆₇	—	2	1	no	—
520	C₂²×C₄×C₆₇	—	2	1	no	—
521	C₂²×C₄×C₆₇	—	2	1	no	—
522	C₂²×C₄×C₆₇	—	2	1	no	—
523	C₂²×C₄×C₆₇	—	2	1	no	—
524	C₂²×C₄×C₆₇	—	2	1	no	—
525	C₂²×C₄×C₆₇	—	2	1	no	—
526	C₂²×C₄×C₆₇	—	2	1	no	—
527	C₂²×C₄×C₆₇	—	2	1	no	—
528	C₂²×C₄×C₆₇	—	2	1	no	—
529	C₂²×C₄×C₆₇	—	2	1	no	—
530	C₂²×C₄×C₆₇	—	2	1	no	—
531	C₂²×C₄×C₆₇	—	2	1	no	—
532	C₂²×C₄×C₆₇	—	4	1	no	—
533	C₂²×C₄×C₆₇	—	4	1	no	—
534	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
535	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
544	Q₁₆×C₆₇	—	4	1	no	—
545	Q₁₆×C₆₇	—	4	1	no	—
546	Q₁₆×C₆₇	—	4	1	no	—
547	SD₁₆×C₆₇	—	4	1	no	—
548	SD₁₆×C₆₇	—	4	1	no	—
549	SD₁₆×C₆₇	—	4	1	no	—
550	SD₁₆×C₆₇	—	4	1	no	—
551	SD₁₆×C₆₇	—	4	1	no	—
552	SD₁₆×C₆₇	—	4	1	no	—
553	SD₁₆×C₆₇	—	4	1	no	—
554	SD₁₆×C₆₇	—	4	1	no	—
555	SD₁₆×C₆₇	—	4	1	no	—
556	SD₁₆×C₆₇	—	4	1	no	—
557	D₈×C₆₇	—	4	1	no	—
558	D₈×C₆₇	—	4	1	no	—
559	D₈×C₆₇	—	4	1	no	—
560	C₂×C₈×C₆₇	—	4	1	no	—
561	C₂×C₈×C₆₇	—	4	1	no	—
562	C₂×C₈×C₆₇	—	4	1	no	—
563	C₂×C₈×C₆₇	—	4	1	no	—
564	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
572	C₄⋊C₄×C₆₇	—	2	1	no	—
573	C₄⋊C₄×C₆₇	—	2	1	no	—
574	C₄⋊C₄×C₆₇	—	2	1	no	—
575	C₄⋊C₄×C₆₇	—	2	1	no	—
576	C₄⋊C₄×C₆₇	—	2	1	no	—
577	C₄⋊C₄×C₆₇	—	2	1	no	—
578	C₄⋊C₄×C₆₇	—	2	1	no	—
579	C₄⋊C₄×C₆₇	—	2	1	no	—
580	C₄⋊C₄×C₆₇	—	2	1	no	—
581	C₄⋊C₄×C₆₇	—	2	1	no	—
582	C₄⋊C₄×C₆₇	—	2	1	no	—
583	C₄⋊C₄×C₆₇	—	2	1	no	—
584	C₄⋊C₄×C₆₇	—	2	1	no	—
585	C₄⋊C₄×C₆₇	—	2	1	no	—
586	C₄⋊C₄×C₆₇	—	2	1	no	—
587	C₄⋊C₄×C₆₇	—	2	1	no	—
588	C₄⋊C₄×C₆₇	—	2	1	no	—
589	C₄⋊C₄×C₆₇	—	2	1	no	—
590	C₄⋊C₄×C₆₇	—	2	1	no	—
591	C₄⋊C₄×C₆₇	—	2	1	no	—
592	C₄⋊C₄×C₆₇	—	2	1	no	—
593	C₄⋊C₄×C₆₇	—	2	1	no	—
594	C₄⋊C₄×C₆₇	—	2	1	no	—
595	C₄⋊C₄×C₆₇	—	2	1	no	—
596	C₄⋊C₄×C₆₇	—	2	1	no	—
597	C₄⋊C₄×C₆₇	—	2	1	no	—
598	C₄⋊C₄×C₆₇	—	2	1	no	—
599	C₄⋊C₄×C₆₇	—	2	1	no	—
600	C₄⋊C₄×C₆₇	—	2	1	no	—
601	C₄⋊C₄×C₆₇	—	2	1	no	—
602	C₄⋊C₄×C₆₇	—	2	1	no	—
603	C₄⋊C₄×C₆₇	—	2	1	no	—
604	C₄⋊C₄×C₆₇	—	2	1	no	—
605	C₄⋊C₄×C₆₇	—	2	1	no	—
606	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
622	C₂²⋊C₄×C₆₇	—	2	1	no	—
623	C₂²⋊C₄×C₆₇	—	2	1	no	—
624	C₂²⋊C₄×C₆₇	—	2	1	no	—
625	C₂²⋊C₄×C₆₇	—	2	1	no	—
626	C₂²⋊C₄×C₆₇	—	2	1	no	—
627	C₂²⋊C₄×C₆₇	—	2	1	no	—
628	C₂²⋊C₄×C₆₇	—	2	1	no	—
629	C₂²⋊C₄×C₆₇	—	2	1	no	—
630	C₂²⋊C₄×C₆₇	—	2	1	no	—
631	C₂²⋊C₄×C₆₇	—	2	1	no	—
632	C₂²⋊C₄×C₆₇	—	2	1	no	—
633	C₂²⋊C₄×C₆₇	—	2	1	no	—
634	C₂²⋊C₄×C₆₇	—	2	1	no	—
635	C₂²⋊C₄×C₆₇	—	2	1	no	—
636	C₂²⋊C₄×C₆₇	—	2	1	no	—
637	C₂²⋊C₄×C₆₇	—	2	1	no	—
638	C₂²⋊C₄×C₆₇	—	2	1	no	—
639	C₂²⋊C₄×C₆₇	—	2	1	no	—
640	C₂²⋊C₄×C₆₇	—	2	1	no	—
641	C₂²⋊C₄×C₆₇	—	2	1	no	—
642	C₂²⋊C₄×C₆₇	—	2	1	no	—
643	C₂²⋊C₄×C₆₇	—	2	1	no	—
644	C₂²⋊C₄×C₆₇	—	2	1	no	—
645	C₂²⋊C₄×C₆₇	—	2	1	no	—
646	C₂²⋊C₄×C₆₇	—	2	1	no	—
647	C₂²⋊C₄×C₆₇	—	2	1	no	—
648	C₂²⋊C₄×C₆₇	—	2	1	no	—
649	C₂²⋊C₄×C₆₇	—	2	1	no	—
650	C₂²⋊C₄×C₆₇	—	2	1	no	—
651	C₂²⋊C₄×C₆₇	—	2	1	no	—
652	C₂²⋊C₄×C₆₇	—	2	1	no	—
653	C₂²⋊C₄×C₆₇	—	2	1	no	—
654	C₂²⋊C₄×C₆₇	—	2	1	no	—
655	C₂²⋊C₄×C₆₇	—	2	1	no	—
656	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₆₇	—	2	1	no	—
665	C₄²×C₆₇	—	2	1	no	—
666	C₄²×C₆₇	—	2	1	no	—
667	C₄²×C₆₇	—	2	1	no	—
668	C₄²×C₆₇	—	2	1	no	—
669	C₄²×C₆₇	—	2	1	no	—
670	C₄²×C₆₇	—	2	1	no	—
671	C₄²×C₆₇	—	2	1	no	—
672	C₄²×C₆₇	—	2	1	no	—
673	C₄²×C₆₇	—	2	1	no	—
674	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
679	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
680	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
681	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
682	C₂³×C₆₇	—	2	2	no	—
683	C₂³×C₆₇	—	2	1	no	—
684	C₂³×C₆₇	—	2	1	no	—
685	C₂³×C₆₇	—	2	1	no	—
686	C₂³×C₆₇	—	2	1	no	—
687	C₂³×C₆₇	—	4	1	no	—
688	C₂³×C₆₇	—	4	1	no	—
689	C₂³×C₆₇	—	4	2	no	—
690	C₂³×C₆₇	—	8	1	no	—
691	C₂³×C₆₇	—	8	1	no	—
692	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
693	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
695	Q₈×C₆₇	—	2	1	no	—
696	Q₈×C₆₇	—	2	1	no	—
697	Q₈×C₆₇	—	2	1	no	—
698	Q₈×C₆₇	—	2	1	no	—
699	Q₈×C₆₇	—	2	1	no	—
700	Q₈×C₆₇	—	2	1	no	—
701	Q₈×C₆₇	—	2	1	no	—
702	Q₈×C₆₇	—	2	1	no	—
703	Q₈×C₆₇	—	4	2	no	—
704	Q₈×C₆₇	—	8	1	no	—
705	Q₈×C₆₇	—	8	1	no	—
706	Q₈×C₆₇	—	8	1	no	—
707	Q₈×C₆₇	—	8	1	no	—
708	D₄×C₆₇	—	2	1	no	—
709	D₄×C₆₇	—	2	1	no	—
710	D₄×C₆₇	—	2	1	no	—
711	D₄×C₆₇	—	2	1	no	—
712	D₄×C₆₇	—	2	1	no	—
713	D₄×C₆₇	—	2	1	no	—
714	D₄×C₆₇	—	2	1	no	—
715	D₄×C₆₇	—	2	1	no	—
716	D₄×C₆₇	—	4	2	no	—
717	D₄×C₆₇	—	4	2	no	—
718	D₄×C₆₇	—	4	2	no	—
719	D₄×C₆₇	—	4	2	no	—
720	D₄×C₆₇	—	4	2	no	—
721	D₄×C₆₇	—	4	2	no	—
722	D₄×C₆₇	—	4	2	no	—
723	D₄×C₆₇	—	8	1	no	—
724	D₄×C₆₇	—	8	1	no	—
725	D₄×C₆₇	—	8	1	no	—
726	D₄×C₆₇	—	8	1	no	—
727	D₄×C₆₇	—	8	1	no	—
728	D₄×C₆₇	—	8	1	no	—
729	D₄×C₆₇	—	8	1	no	—
730	D₄×C₆₇	—	8	1	no	—
731	C₂×C₄×C₆₇	—	2	2	no	—
732	C₂×C₄×C₆₇	—	2	2	no	—
733	C₂×C₄×C₆₇	—	2	1	no	—
734	C₂×C₄×C₆₇	—	2	1	no	—
735	C₂×C₄×C₆₇	—	2	1	no	—
736	C₂×C₄×C₆₇	—	2	1	no	—
737	C₂×C₄×C₆₇	—	2	1	no	—
738	C₂×C₄×C₆₇	—	2	1	no	—
739	C₂×C₄×C₆₇	—	2	1	no	—
740	C₂×C₄×C₆₇	—	2	1	no	—
741	C₂×C₄×C₆₇	—	2	1	no	—
742	C₂×C₄×C₆₇	—	2	1	no	—
743	C₂×C₄×C₆₇	—	2	1	no	—
744	C₂×C₄×C₆₇	—	2	1	no	—
745	C₂×C₄×C₆₇	—	2	1	no	—
746	C₂×C₄×C₆₇	—	2	1	no	—
747	C₂×C₄×C₆₇	—	2	1	no	—
748	C₂×C₄×C₆₇	—	2	1	no	—
749	C₂×C₄×C₆₇	—	2	1	no	—
750	C₂×C₄×C₆₇	—	2	1	no	—
751	C₂×C₄×C₆₇	—	4	1	no	—
752	C₂×C₄×C₆₇	—	4	1	no	—
753	C₂×C₄×C₆₇	—	4	1	no	—
754	C₂×C₄×C₆₇	—	4	1	no	—
755	C₂×C₄×C₆₇	—	4	1	no	—
756	C₂×C₄×C₆₇	—	4	2	no	—
757	C₂×C₄×C₆₇	—	4	2	no	—
758	C₂×C₄×C₆₇	—	4	2	no	—
759	C₂×C₄×C₆₇	—	8	1	no	—
760	C₂×C₄×C₆₇	—	8	1	no	—
761	C₂×C₄×C₆₇	—	8	1	no	—
762	C₂×C₄×C₆₇	—	8	1	no	—
763	C₂×C₄×C₆₇	—	8	1	no	—
764	C₂×C₄×C₆₇	—	8	1	no	—
765	C₂×C₄×C₆₇	—	8	1	no	—
766	C₂×C₄×C₆₇	—	8	1	no	—
767	C₂×C₄×C₆₇	—	8	1	no	—
768	C₂×C₄×C₆₇	—	8	1	no	—
769	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
781	C₈×C₆₇	—	2	1	no	—
782	C₈×C₆₇	—	2	1	no	—
783	C₈×C₆₇	—	2	1	no	—
784	C₈×C₆₇	—	2	1	no	—
785	C₈×C₆₇	—	2	1	no	—
786	C₈×C₆₇	—	2	1	no	—
787	C₈×C₆₇	—	2	1	no	—
788	C₈×C₆₇	—	2	1	no	—
789	C₂²×C₆₇	—	2	1	no	—
790	C₂²×C₆₇	—	2	1	no	—
791	C₂²×C₆₇	—	2	1	no	—
792	C₂²×C₆₇	—	2	1	no	—
793	C₂²×C₆₇	—	2	1	no	—
794	C₂²×C₆₇	—	2	1	no	—
795	C₂²×C₆₇	—	2	1	no	—
796	C₂²×C₆₇	—	2	1	no	—
797	C₂²×C₆₇	—	4	1	no	—
798	C₂²×C₆₇	—	4	1	no	—
799	C₂²×C₆₇	—	4	1	no	—
800	C₂²×C₆₇	—	4	1	no	—
801	C₂²×C₆₇	—	4	1	no	—
802	C₂²×C₆₇	—	4	1	no	—
803	C₂²×C₆₇	—	4	1	no	—
804	C₂²×C₆₇	—	4	1	no	—
805	C₂²×C₆₇	—	4	1	no	—
806	C₂²×C₆₇	—	4	1	no	—
807	C₂²×C₆₇	—	4	1	no	—
808	C₂²×C₆₇	—	4	1	no	—
809	C₂²×C₆₇	—	8	2	no	—
810	C₂²×C₆₇	—	16	2	no	—
811	C₂²×C₆₇	#577	1	2	yes	—
812	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
813	C₄×C₆₇	—	2	1	no	—
814	C₄×C₆₇	—	2	1	no	—
815	C₄×C₆₇	—	2	1	no	—
816	C₄×C₆₇	—	2	1	no	—
817	C₄×C₆₇	—	2	1	no	—
818	C₄×C₆₇	—	2	1	no	—
819	C₄×C₆₇	—	2	1	no	—
820	C₄×C₆₇	—	2	1	no	—
821	C₄×C₆₇	—	2	1	no	—
822	C₄×C₆₇	—	2	1	no	—
823	C₄×C₆₇	—	2	1	no	—
824	C₄×C₆₇	—	4	1	no	—
825	C₄×C₆₇	—	4	1	no	—
826	C₄×C₆₇	—	4	1	no	—
827	C₄×C₆₇	—	4	1	no	—
828	C₄×C₆₇	—	4	1	no	—
829	C₄×C₆₇	—	4	1	no	—
830	C₄×C₆₇	—	4	1	no	—
831	C₄×C₆₇	—	4	1	no	—
832	C₄×C₆₇	—	4	1	no	—
833	C₄×C₆₇	—	4	1	no	—
834	C₄×C₆₇	—	4	1	no	—
835	C₄×C₆₇	—	4	1	no	—
836	C₄×C₆₇	#585	1	1	yes	characteristic
837	C₄×C₆₇	#585	1	1	yes	characteristic
838	#61001	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
839	C₂×C₆₇	—	2	2	no	—
840	C₂×C₆₇	—	4	1	no	—
841	C₂×C₆₇	—	4	1	no	—
842	C₂×C₆₇	—	8	1	no	—
843	C₂×C₆₇	—	8	1	no	—
844	C₂×C₆₇	—	8	1	no	—
845	C₂×C₆₇	—	8	1	no	—
846	C₂×C₆₇	#3449	1	1	yes	characteristic
847	C₂×C₆₇	C₂×#577	1	1	yes	characteristic
848	C₂×C₆₇	#3584	1	1	yes	characteristic
849	#3495	C₂×C₆₇	1	1	yes	characteristic, complemented
850	#3494	C₂×C₆₇	1	1	yes	characteristic, complemented
851	#3250	C₂×C₆₇	1	1	yes	characteristic, complemented
852	#3248	C₂×C₆₇	1	1	yes	characteristic, complemented
853	#3247	C₂×C₆₇	1	1	yes	characteristic, complemented
854	#3246	C₂×C₆₇	1	1	yes	characteristic, complemented
855	#3244	C₂×C₆₇	1	1	yes	characteristic, complemented
856	#3244	C₂×C₆₇	1	1	yes	characteristic, complemented
857	#3242	C₂×C₆₇	1	1	yes	characteristic, complemented
858	#3241	C₂×C₆₇	1	1	yes	characteristic, complemented
859	#3225	C₂×C₆₇	1	1	yes	characteristic, complemented
860	#3224	C₂×C₆₇	1	1	yes	characteristic, complemented
861	#3222	C₂×C₆₇	1	1	yes	characteristic, complemented
862	#3221	C₂×C₆₇	1	1	yes	characteristic, complemented
863	#3191	C₂×C₆₇	1	1	yes	characteristic, complemented
864	#3190	C₂×C₆₇	1	1	yes	characteristic, complemented
865	#3188	C₂×C₆₇	1	1	yes	characteristic, complemented
866	#3187	C₂×C₆₇	1	1	yes	characteristic, complemented
867	#3181	C₂×C₆₇	1	1	yes	characteristic, complemented
868	#3180	C₂×C₆₇	1	1	yes	characteristic, complemented
869	#3168	C₂×C₆₇	1	1	yes	characteristic, complemented
870	#3167	C₂×C₆₇	1	1	yes	characteristic, complemented
871	#3126	C₂×C₆₇	1	1	yes	characteristic, complemented
872	#3125	C₂×C₆₇	1	1	yes	characteristic, complemented
873	#3125	C₂×C₆₇	1	1	yes	characteristic, complemented
874	#3123	C₂×C₆₇	1	1	yes	characteristic, complemented
875	#3121	C₂×C₆₇	1	1	yes	characteristic, complemented
876	#3120	C₂×C₆₇	1	1	yes	characteristic, complemented
877	#3119	C₂×C₆₇	1	1	yes	characteristic, complemented
878	#3118	C₂×C₆₇	1	1	yes	characteristic, complemented
879	C₂×#433	C₂×C₆₇	1	1	yes	characteristic, complemented
880	C₆₇	#61001	1	1	yes	characteristic, direct product factor, Sylow
881	#556	—	2	1	no	—
882	#555	—	2	1	no	—
883	#554	—	2	1	no	—
884	#553	—	2	1	no	—
885	#553	—	2	1	no	—
886	#552	—	2	1	no	—
887	#552	—	2	1	no	—
888	#552	—	2	1	no	—
889	#552	—	2	1	no	—
890	#551	—	2	1	no	—
891	#551	—	2	1	no	—
892	#551	—	2	1	no	—
893	#551	—	2	1	no	—
894	#547	—	2	1	no	—
895	#546	—	2	1	no	—
896	#546	—	2	1	no	—
897	#544	C₂²×C₆₇	1	1	yes	characteristic
898	#544	C₂²×C₆₇	1	1	yes	characteristic, complemented
899	#542	C₂²×C₆₇	1	1	yes	characteristic
900	#542	C₂²×C₆₇	1	1	yes	characteristic
901	#542	C₂²×C₆₇	1	1	yes	characteristic
902	#542	C₂²×C₆₇	1	1	yes	characteristic
903	#541	C₂²×C₆₇	1	1	yes	characteristic
904	#541	C₂²×C₆₇	1	1	yes	characteristic
905	#540	C₂²×C₆₇	1	1	yes	characteristic
906	#540	C₂²×C₆₇	1	1	yes	characteristic
907	#536	C₂²×C₆₇	1	1	yes	characteristic, complemented
908	#535	C₂²×C₆₇	1	1	yes	characteristic
909	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
910	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
911	#532	C₂²×C₆₇	1	1	yes	characteristic
912	#532	C₂²×C₆₇	1	1	yes	characteristic
913	#529	C₂²×C₆₇	1	1	yes	characteristic
914	#529	C₂²×C₆₇	1	1	yes	characteristic
915	#529	C₂²×C₆₇	1	1	yes	characteristic, complemented
916	#529	C₂²×C₆₇	1	1	yes	characteristic, complemented
917	#525	C₂²×C₆₇	1	1	yes	characteristic
918	#525	C₂²×C₆₇	1	1	yes	characteristic
919	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
920	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
921	#520	C₂²×C₆₇	1	1	yes	characteristic
922	#520	C₂²×C₆₇	1	1	yes	characteristic, complemented
923	#519	C₂²×C₆₇	1	1	yes	characteristic, complemented
924	#518	C₂²×C₆₇	1	1	yes	characteristic
925	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
926	#501	C₂²×C₆₇	1	1	yes	characteristic, complemented
927	#501	C₂²×C₆₇	1	1	yes	characteristic, complemented
928	#499	C₂²×C₆₇	1	1	yes	characteristic, complemented
929	#498	C₂²×C₆₇	1	1	yes	characteristic, complemented
930	#497	C₂²×C₆₇	1	1	yes	characteristic, complemented
931	#496	C₂²×C₆₇	1	1	yes	characteristic, complemented
932	#495	C₂²×C₆₇	1	1	yes	characteristic, complemented
933	#492	C₂²×C₆₇	1	1	yes	characteristic, complemented
934	#491	C₂²×C₆₇	1	1	yes	characteristic, complemented
935	#490	C₂²×C₆₇	1	1	yes	characteristic, complemented
936	#489	C₂²×C₆₇	1	1	yes	characteristic, complemented
937	#489	C₂²×C₆₇	1	1	yes	characteristic, complemented
938	#488	C₂²×C₆₇	1	1	yes	characteristic, complemented
939	#488	C₂²×C₆₇	1	1	yes	characteristic, complemented
940	#487	C₂²×C₆₇	1	1	yes	characteristic, complemented
941	#486	C₂²×C₆₇	1	1	yes	characteristic, complemented
942	#485	C₂²×C₆₇	1	1	yes	characteristic
943	#485	C₂²×C₆₇	1	1	yes	characteristic
944	#485	C₂²×C₆₇	1	1	yes	characteristic
945	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
946	#484	C₂²×C₆₇	1	1	yes	characteristic
947	#483	C₂²×C₆₇	1	1	yes	characteristic
948	#483	C₂²×C₆₇	1	1	yes	characteristic
949	#483	C₂²×C₆₇	1	1	yes	characteristic, complemented
950	#482	C₂²×C₆₇	1	1	yes	characteristic
951	#482	C₂²×C₆₇	1	1	yes	characteristic
952	#482	C₂²×C₆₇	1	1	yes	characteristic
953	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
954	#481	C₂²×C₆₇	1	1	yes	characteristic
955	#481	C₂²×C₆₇	1	1	yes	characteristic
956	#481	C₂²×C₆₇	1	1	yes	characteristic
957	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
958	#479	C₂²×C₆₇	1	1	yes	characteristic, complemented
959	#479	C₂²×C₆₇	1	1	yes	characteristic, complemented
960	#479	C₂²×C₆₇	1	1	yes	characteristic, complemented
961	#479	C₂²×C₆₇	1	1	yes	characteristic, complemented
962	#478	C₂²×C₆₇	1	1	yes	characteristic, complemented
963	#478	C₂²×C₆₇	1	1	yes	characteristic, complemented
964	#478	C₂²×C₆₇	1	1	yes	characteristic, complemented
965	#478	C₂²×C₆₇	1	1	yes	characteristic, complemented
966	#477	C₂²×C₆₇	1	1	yes	characteristic, complemented
967	#476	C₂²×C₆₇	1	1	yes	characteristic, complemented
968	#476	C₂²×C₆₇	1	1	yes	characteristic, complemented
969	#476	C₂²×C₆₇	1	1	yes	characteristic, complemented
970	#475	C₂²×C₆₇	1	1	yes	characteristic, complemented
971	#475	C₂²×C₆₇	1	1	yes	characteristic, complemented
972	#475	C₂²×C₆₇	1	1	yes	characteristic, complemented
973	#474	C₂²×C₆₇	1	1	yes	characteristic, complemented
974	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
975	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
976	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
977	#466	C₂²×C₆₇	1	1	yes	characteristic
978	#466	C₂²×C₆₇	1	1	yes	characteristic
979	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
980	#465	C₂²×C₆₇	1	1	yes	characteristic
981	#465	C₂²×C₆₇	1	1	yes	characteristic
982	#465	C₂²×C₆₇	1	1	yes	characteristic
983	#465	C₂²×C₆₇	1	1	yes	characteristic
984	#465	C₂²×C₆₇	1	1	yes	characteristic
985	#465	C₂²×C₆₇	1	1	yes	characteristic
986	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
987	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
988	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
989	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
990	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
991	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
992	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
993	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
994	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
995	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
996	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
997	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
998	#462	C₂²×C₆₇	1	1	yes	characteristic, complemented
999	#461	C₂²×C₆₇	1	1	yes	characteristic, complemented
1000	#461	C₂²×C₆₇	1	1	yes	characteristic, complemented
1001	#461	C₂²×C₆₇	1	1	yes	characteristic, complemented
1002	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1003	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1004	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1005	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1006	#452	C₂²×C₆₇	1	1	yes	characteristic
1007	#452	C₂²×C₆₇	1	1	yes	characteristic
1008	#452	C₂²×C₆₇	1	1	yes	characteristic
1009	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1010	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1011	#450	C₂²×C₆₇	1	1	yes	characteristic
1012	#450	C₂²×C₆₇	1	1	yes	characteristic
1013	#450	C₂²×C₆₇	1	1	yes	characteristic
1014	#449	C₂²×C₆₇	1	1	yes	characteristic
1015	#449	C₂²×C₆₇	1	1	yes	characteristic
1016	#449	C₂²×C₆₇	1	1	yes	characteristic
1017	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1018	#448	C₂²×C₆₇	1	1	yes	characteristic
1019	#448	C₂²×C₆₇	1	1	yes	characteristic
1020	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1021	#447	C₂²×C₆₇	1	1	yes	characteristic
1022	#442	C₂²×C₆₇	1	1	yes	characteristic, complemented
1023	#442	C₂²×C₆₇	1	1	yes	characteristic, complemented
1024	#441	C₂²×C₆₇	1	1	yes	characteristic, complemented
1025	#441	C₂²×C₆₇	1	1	yes	characteristic, complemented
1026	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1027	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1028	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1029	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1030	C₄×Q₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1031	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1032	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1033	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1034	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1035	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1036	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1037	C₄×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1038	#433	C₂²×C₆₇	1	1	yes	characteristic
1039	#433	C₂²×C₆₇	1	1	yes	characteristic
1040	#433	C₂²×C₆₇	1	1	yes	characteristic
1041	#433	C₂²×C₆₇	1	1	yes	characteristic
1042	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
1043	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
1044	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
1045	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
1046	C₂×C₄⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1047	C₂×C₄⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1048	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic
1049	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic
1050	C₂×#97	C₂²×C₆₇	1	1	yes	characteristic, complemented
1051	C₂×C₄×C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1052	C₂×#41	—	2	1	no	—
1053	C₂×#41	—	2	1	no	—
1054	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1055	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1056	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1057	C₂²×D₄	—	2	1	no	—
1058	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1059	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1060	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1061	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1062	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1073	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1074	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1075	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1076	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1077	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1078	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1079	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1080	C₄⋊Q₈	—	2	1	no	—
1081	C₄⋊Q₈	—	2	1	no	—
1082	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1084	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1085	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1086	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1087	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1088	#127	C₂³×C₆₇	1	1	yes	characteristic
1089	#127	C₂³×C₆₇	1	1	yes	characteristic
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	C₂³×C₆₇	1	1	yes	characteristic
1111	#125	C₂³×C₆₇	1	1	yes	characteristic
1112	#125	C₂³×C₆₇	1	1	yes	characteristic
1113	#125	C₂³×C₆₇	1	1	yes	characteristic
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	C₂³×C₆₇	1	1	yes	characteristic
1121	#124	C₂³×C₆₇	1	1	yes	characteristic
1122	#124	C₂³×C₆₇	1	1	yes	characteristic
1123	#124	C₂³×C₆₇	1	1	yes	characteristic
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	C₂³×C₆₇	1	1	yes	characteristic
1173	#121	C₂³×C₆₇	1	1	yes	characteristic
1174	#121	C₂³×C₆₇	1	1	yes	characteristic
1175	#121	C₂³×C₆₇	1	1	yes	characteristic
1176	#121	C₂³×C₆₇	1	1	yes	characteristic
1177	#121	C₂³×C₆₇	1	1	yes	characteristic
1178	#121	C₂³×C₆₇	1	1	yes	characteristic
1179	#121	C₂³×C₆₇	1	1	yes	characteristic
1180	#120	—	2	1	no	—
1181	#120	—	2	1	no	—
1182	#120	—	2	1	no	—
1183	#120	—	2	1	no	—
1184	C₄×Q₈	—	2	1	no	—
1185	C₄×Q₈	—	2	1	no	—
1186	C₄×Q₈	—	2	1	no	—
1187	C₄×Q₈	—	2	1	no	—
1188	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1194	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1195	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1213	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	D₄×C₆₇	1	1	yes	characteristic
1231	#117	D₄×C₆₇	1	1	yes	characteristic
1232	#117	D₄×C₆₇	1	1	yes	characteristic
1233	#117	D₄×C₆₇	1	1	yes	characteristic
1234	#117	C₂³×C₆₇	1	1	yes	characteristic
1235	#117	C₂³×C₆₇	1	1	yes	characteristic
1236	#117	C₂³×C₆₇	1	1	yes	characteristic
1237	#117	C₂³×C₆₇	1	1	yes	characteristic
1238	#117	C₂³×C₆₇	1	1	yes	characteristic
1239	#117	C₂³×C₆₇	1	1	yes	characteristic
1240	C₂×C₄⋊C₄	—	2	1	no	—
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	—	2	1	no	—
1243	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1247	C₂×C₂²⋊C₄	—	2	1	no	—
1248	C₂×C₂²⋊C₄	—	2	1	no	—
1249	C₂×C₂²⋊C₄	—	2	1	no	—
1250	C₂×C₂²⋊C₄	—	2	1	no	—
1251	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1253	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1254	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1255	#107	C₂³×C₆₇	1	1	yes	characteristic
1256	#107	C₂³×C₆₇	1	1	yes	characteristic
1257	#107	C₂³×C₆₇	1	1	yes	characteristic
1258	#107	C₂³×C₆₇	1	1	yes	characteristic
1259	#107	C₂³×C₆₇	1	1	yes	characteristic
1260	#107	C₂³×C₆₇	1	1	yes	characteristic
1261	#106	C₂³×C₆₇	1	1	yes	characteristic
1262	#106	C₂³×C₆₇	1	1	yes	characteristic
1263	#106	C₂³×C₆₇	1	1	yes	characteristic
1264	#106	C₂³×C₆₇	1	1	yes	characteristic
1265	#106	C₂³×C₆₇	1	1	yes	characteristic
1266	#106	C₂³×C₆₇	1	1	yes	characteristic
1267	#106	C₂³×C₆₇	1	1	yes	characteristic
1268	#106	C₂³×C₆₇	1	1	yes	characteristic
1269	#106	C₂³×C₆₇	1	1	yes	characteristic
1270	#106	C₂³×C₆₇	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1279	#103	C₂³×C₆₇	1	1	yes	characteristic
1280	#103	C₂³×C₆₇	1	1	yes	characteristic
1281	#103	C₂³×C₆₇	1	1	yes	characteristic
1282	#103	C₂³×C₆₇	1	1	yes	characteristic
1283	#103	C₂³×C₆₇	1	1	yes	characteristic
1284	#103	C₂³×C₆₇	1	1	yes	characteristic
1285	#103	C₂³×C₆₇	1	1	yes	characteristic
1286	#103	C₂³×C₆₇	1	1	yes	characteristic
1287	#103	C₂³×C₆₇	1	1	yes	characteristic
1288	#103	C₂³×C₆₇	1	1	yes	characteristic
1289	#103	C₂³×C₆₇	1	1	yes	characteristic
1290	#103	C₂³×C₆₇	1	1	yes	characteristic
1291	#103	C₂³×C₆₇	1	1	yes	characteristic
1292	#103	C₂³×C₆₇	1	1	yes	characteristic
1293	#103	C₂³×C₆₇	1	1	yes	characteristic
1294	#103	C₂³×C₆₇	1	1	yes	characteristic
1295	#102	C₂³×C₆₇	1	1	yes	characteristic
1296	#102	C₂³×C₆₇	1	1	yes	characteristic
1297	#102	C₂³×C₆₇	1	1	yes	characteristic
1298	#102	C₂³×C₆₇	1	1	yes	characteristic
1299	#102	C₂³×C₆₇	1	1	yes	characteristic
1300	#102	C₂³×C₆₇	1	1	yes	characteristic
1301	#102	C₂³×C₆₇	1	1	yes	characteristic
1302	#102	C₂³×C₆₇	1	1	yes	characteristic
1303	#102	C₂³×C₆₇	1	1	yes	characteristic
1304	#102	C₂³×C₆₇	1	1	yes	characteristic
1305	#102	C₂³×C₆₇	1	1	yes	characteristic
1306	#102	C₂³×C₆₇	1	1	yes	characteristic
1307	#102	C₂³×C₆₇	1	1	yes	characteristic
1308	#102	C₂³×C₆₇	1	1	yes	characteristic
1309	#102	C₂³×C₆₇	1	1	yes	characteristic
1310	#102	C₂³×C₆₇	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1318	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1319	#97	C₂³×C₆₇	1	1	yes	characteristic
1320	#97	C₂³×C₆₇	1	1	yes	characteristic
1321	#97	C₂³×C₆₇	1	1	yes	characteristic
1322	#97	C₂³×C₆₇	1	1	yes	characteristic
1323	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1324	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1325	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1326	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1327	C₂⁴	—	2	1	no	—
1328	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	4	1	no	—
1333	#41	—	8	2	no	—
1334	#41	—	8	2	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	2	1	no	—
1340	C₂×Q₈	—	4	1	no	—
1341	C₂×Q₈	—	4	1	no	—
1342	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1344	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1345	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	—	8	2	no	—
1364	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1365	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1367	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	4	1	no	—
1382	C₂²×C₄	—	4	1	no	—
1383	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1384	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1385	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1386	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1387	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1388	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1389	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1390	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1392	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1393	Q₁₆	—	4	1	no	—
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	SD₁₆	—	4	1	no	—
1397	SD₁₆	—	4	1	no	—
1398	SD₁₆	—	4	1	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	D₈	—	4	1	no	—
1408	D₈	—	4	1	no	—
1409	C₂×C₈	—	4	1	no	—
1410	C₂×C₈	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1414	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1456	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1524	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1525	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1526	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1528	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1529	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1530	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1531	C₂³	—	2	2	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	2	1	no	—
1536	C₂³	—	4	1	no	—
1537	C₂³	—	4	1	no	—
1538	C₂³	—	4	2	no	—
1539	C₂³	—	8	1	no	—
1540	C₂³	—	8	1	no	—
1541	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1542	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1543	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	4	2	no	—
1553	Q₈	—	8	1	no	—
1554	Q₈	—	8	1	no	—
1555	Q₈	—	8	1	no	—
1556	Q₈	—	8	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	4	2	no	—
1570	D₄	—	4	2	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	C₂×C₄	—	2	2	no	—
1581	C₂×C₄	—	2	2	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	1	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1619	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1628	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1629	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	8	2	no	—
1659	C₂²	—	16	2	no	—
1660	C₂²	#577×C₆₇	1	2	yes	—
1661	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	#585×C₆₇	1	1	yes	characteristic
1686	C₄	#585×C₆₇	1	1	yes	characteristic
1687	C₂	—	2	2	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	8	1	no	—
1691	C₂	—	8	1	no	—
1692	C₂	—	8	1	no	—
1693	C₂	—	8	1	no	—
1694	C₂	C₆₇×#3449	1	1	yes	characteristic
1695	C₂	C₂×#577×C₆₇	1	1	yes	characteristic
1696	C₂	C₆₇×#3584	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×#117×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3495	C₂	semidirect
2. C₆₇×#3494	C₂	semidirect
3. C₆₇×#3250	C₂	semidirect
4. C₆₇×#3248	C₂	semidirect
5. C₆₇×#3247	C₂	semidirect
6. C₆₇×#3246	C₂	semidirect
7. C₆₇×#3244	C₂	semidirect
8. C₆₇×#3244	C₂	semidirect
9. C₆₇×#3242	C₂	semidirect
10. C₆₇×#3241	C₂	semidirect
11. C₆₇×#3225	C₂	semidirect
12. C₆₇×#3224	C₂	semidirect
13. C₆₇×#3222	C₂	semidirect
14. C₆₇×#3221	C₂	semidirect
15. C₆₇×#3191	C₂	semidirect
16. C₆₇×#3190	C₂	semidirect
17. C₆₇×#3188	C₂	semidirect
18. C₆₇×#3187	C₂	semidirect
19. C₆₇×#3181	C₂	semidirect
20. C₆₇×#3180	C₂	semidirect
21. C₆₇×#3168	C₂	semidirect
22. C₆₇×#3167	C₂	semidirect
23. C₆₇×#3126	C₂	semidirect
24. C₆₇×#3125	C₂	semidirect
25. C₆₇×#3125	C₂	semidirect
26. C₆₇×#3123	C₂	semidirect
27. C₆₇×#3121	C₂	semidirect
28. C₆₇×#3120	C₂	semidirect
29. C₆₇×#3119	C₂	semidirect
30. C₆₇×#3118	C₂	semidirect
31. C₂×#433×C₆₇	C₂	semidirect
49. #544×C₆₇	C₂²	semidirect
58. #536×C₆₇	C₂²	semidirect
60. #533×C₆₇	C₂²	semidirect
61. #533×C₆₇	C₂²	semidirect
66. #529×C₆₇	C₂²	semidirect
67. #529×C₆₇	C₂²	semidirect
73. #520×C₆₇	C₂²	semidirect
74. #519×C₆₇	C₂²	semidirect
77. #501×C₆₇	C₂²	semidirect
78. #501×C₆₇	C₂²	semidirect
79. #499×C₆₇	C₂²	semidirect
80. #498×C₆₇	C₂²	semidirect
81. #497×C₆₇	C₂²	semidirect
82. #496×C₆₇	C₂²	semidirect
83. #495×C₆₇	C₂²	semidirect
84. #492×C₆₇	C₂²	semidirect
85. #491×C₆₇	C₂²	semidirect
86. #490×C₆₇	C₂²	semidirect
87. #489×C₆₇	C₂²	semidirect
88. #489×C₆₇	C₂²	semidirect
89. #488×C₆₇	C₂²	semidirect
90. #488×C₆₇	C₂²	semidirect
91. #487×C₆₇	C₂²	semidirect
92. #486×C₆₇	C₂²	semidirect
96. #485×C₆₇	C₂²	semidirect
100. #483×C₆₇	C₂²	semidirect
104. #482×C₆₇	C₂²	semidirect
108. #480×C₆₇	C₂²	semidirect
109. #479×C₆₇	C₂²	semidirect
110. #479×C₆₇	C₂²	semidirect
111. #479×C₆₇	C₂²	semidirect
112. #479×C₆₇	C₂²	semidirect
113. #478×C₆₇	C₂²	semidirect
114. #478×C₆₇	C₂²	semidirect
115. #478×C₆₇	C₂²	semidirect
116. #478×C₆₇	C₂²	semidirect
117. #477×C₆₇	C₂²	semidirect
118. #476×C₆₇	C₂²	semidirect
119. #476×C₆₇	C₂²	semidirect
120. #476×C₆₇	C₂²	semidirect
121. #475×C₆₇	C₂²	semidirect
122. #475×C₆₇	C₂²	semidirect
123. #475×C₆₇	C₂²	semidirect
124. #474×C₆₇	C₂²	semidirect
125. #467×C₆₇	C₂²	semidirect
126. #467×C₆₇	C₂²	semidirect
127. #467×C₆₇	C₂²	semidirect
130. #466×C₆₇	C₂²	semidirect
137. #465×C₆₇	C₂²	semidirect
138. #465×C₆₇	C₂²	semidirect
139. #465×C₆₇	C₂²	semidirect
140. #465×C₆₇	C₂²	semidirect
141. #464×C₆₇	C₂²	semidirect
142. #464×C₆₇	C₂²	semidirect
143. #464×C₆₇	C₂²	semidirect
144. #464×C₆₇	C₂²	semidirect
145. #463×C₆₇	C₂²	semidirect
146. #463×C₆₇	C₂²	semidirect
147. #463×C₆₇	C₂²	semidirect
148. #463×C₆₇	C₂²	semidirect
149. #462×C₆₇	C₂²	semidirect
150. #461×C₆₇	C₂²	semidirect
151. #461×C₆₇	C₂²	semidirect
152. #461×C₆₇	C₂²	semidirect
153. #460×C₆₇	C₂²	semidirect
154. #460×C₆₇	C₂²	semidirect
155. #460×C₆₇	C₂²	semidirect
156. #459×C₆₇	C₂²	semidirect
160. #452×C₆₇	C₂²	semidirect
161. #451×C₆₇	C₂²	semidirect
168. #449×C₆₇	C₂²	semidirect
171. #448×C₆₇	C₂²	semidirect
173. #442×C₆₇	C₂²	semidirect
174. #442×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
181. C₄×Q₁₆×C₆₇	C₂²	semidirect
182. C₄×SD₁₆×C₆₇	C₂²	semidirect
183. C₄×SD₁₆×C₆₇	C₂²	semidirect
184. C₄×SD₁₆×C₆₇	C₂²	semidirect
185. C₄×SD₁₆×C₆₇	C₂²	semidirect
186. C₄×SD₁₆×C₆₇	C₂²	semidirect
187. C₄×SD₁₆×C₆₇	C₂²	semidirect
188. C₄×D₈×C₆₇	C₂²	semidirect
193. #433×C₆₇	C₂²	semidirect
194. #433×C₆₇	C₂²	semidirect
195. #433×C₆₇	C₂²	semidirect
196. #433×C₆₇	C₂²	semidirect
197. C₂×C₄⋊C₈×C₆₇	C₂²	semidirect
198. C₂×C₄⋊C₈×C₆₇	C₂²	semidirect
201. C₂×#97×C₆₇	C₂²	semidirect
202. C₂×C₄×C₈×C₆₇	C₂²	semidirect
838. #61001	C₆₇	direct (N × H)
849. #3495	C₂×C₆₇	semidirect
850. #3494	C₂×C₆₇	semidirect
851. #3250	C₂×C₆₇	semidirect
852. #3248	C₂×C₆₇	semidirect
853. #3247	C₂×C₆₇	semidirect
854. #3246	C₂×C₆₇	semidirect
855. #3244	C₂×C₆₇	semidirect
856. #3244	C₂×C₆₇	semidirect
857. #3242	C₂×C₆₇	semidirect
858. #3241	C₂×C₆₇	semidirect
859. #3225	C₂×C₆₇	semidirect
860. #3224	C₂×C₆₇	semidirect
861. #3222	C₂×C₆₇	semidirect
862. #3221	C₂×C₆₇	semidirect
863. #3191	C₂×C₆₇	semidirect
864. #3190	C₂×C₆₇	semidirect
865. #3188	C₂×C₆₇	semidirect
866. #3187	C₂×C₆₇	semidirect
867. #3181	C₂×C₆₇	semidirect
868. #3180	C₂×C₆₇	semidirect
869. #3168	C₂×C₆₇	semidirect
870. #3167	C₂×C₆₇	semidirect
871. #3126	C₂×C₆₇	semidirect
872. #3125	C₂×C₆₇	semidirect
873. #3125	C₂×C₆₇	semidirect
874. #3123	C₂×C₆₇	semidirect
875. #3121	C₂×C₆₇	semidirect
876. #3120	C₂×C₆₇	semidirect
877. #3119	C₂×C₆₇	semidirect
878. #3118	C₂×C₆₇	semidirect
879. C₂×#433	C₂×C₆₇	semidirect
880. C₆₇	#61001	direct (N × H)
898. #544	C₂²×C₆₇	semidirect
907. #536	C₂²×C₆₇	semidirect
909. #533	C₂²×C₆₇	semidirect
910. #533	C₂²×C₆₇	semidirect
915. #529	C₂²×C₆₇	semidirect
916. #529	C₂²×C₆₇	semidirect
922. #520	C₂²×C₆₇	semidirect
923. #519	C₂²×C₆₇	semidirect
926. #501	C₂²×C₆₇	semidirect
927. #501	C₂²×C₆₇	semidirect
928. #499	C₂²×C₆₇	semidirect
929. #498	C₂²×C₆₇	semidirect
930. #497	C₂²×C₆₇	semidirect
931. #496	C₂²×C₆₇	semidirect
932. #495	C₂²×C₆₇	semidirect
933. #492	C₂²×C₆₇	semidirect
934. #491	C₂²×C₆₇	semidirect
935. #490	C₂²×C₆₇	semidirect
936. #489	C₂²×C₆₇	semidirect
937. #489	C₂²×C₆₇	semidirect
938. #488	C₂²×C₆₇	semidirect
939. #488	C₂²×C₆₇	semidirect
940. #487	C₂²×C₆₇	semidirect
941. #486	C₂²×C₆₇	semidirect
945. #485	C₂²×C₆₇	semidirect
949. #483	C₂²×C₆₇	semidirect
953. #482	C₂²×C₆₇	semidirect
957. #480	C₂²×C₆₇	semidirect
958. #479	C₂²×C₆₇	semidirect
959. #479	C₂²×C₆₇	semidirect
960. #479	C₂²×C₆₇	semidirect
961. #479	C₂²×C₆₇	semidirect
962. #478	C₂²×C₆₇	semidirect
963. #478	C₂²×C₆₇	semidirect
964. #478	C₂²×C₆₇	semidirect
965. #478	C₂²×C₆₇	semidirect
966. #477	C₂²×C₆₇	semidirect
967. #476	C₂²×C₆₇	semidirect
968. #476	C₂²×C₆₇	semidirect
969. #476	C₂²×C₆₇	semidirect
970. #475	C₂²×C₆₇	semidirect
971. #475	C₂²×C₆₇	semidirect
972. #475	C₂²×C₆₇	semidirect
973. #474	C₂²×C₆₇	semidirect
974. #467	C₂²×C₆₇	semidirect
975. #467	C₂²×C₆₇	semidirect
976. #467	C₂²×C₆₇	semidirect
979. #466	C₂²×C₆₇	semidirect
986. #465	C₂²×C₆₇	semidirect
987. #465	C₂²×C₆₇	semidirect
988. #465	C₂²×C₆₇	semidirect
989. #465	C₂²×C₆₇	semidirect
990. #464	C₂²×C₆₇	semidirect
991. #464	C₂²×C₆₇	semidirect
992. #464	C₂²×C₆₇	semidirect
993. #464	C₂²×C₆₇	semidirect
994. #463	C₂²×C₆₇	semidirect
995. #463	C₂²×C₆₇	semidirect
996. #463	C₂²×C₆₇	semidirect
997. #463	C₂²×C₆₇	semidirect
998. #462	C₂²×C₆₇	semidirect
999. #461	C₂²×C₆₇	semidirect
1000. #461	C₂²×C₆₇	semidirect
1001. #461	C₂²×C₆₇	semidirect
1002. #460	C₂²×C₆₇	semidirect
1003. #460	C₂²×C₆₇	semidirect
1004. #460	C₂²×C₆₇	semidirect
1005. #459	C₂²×C₆₇	semidirect
1009. #452	C₂²×C₆₇	semidirect
1010. #451	C₂²×C₆₇	semidirect
1017. #449	C₂²×C₆₇	semidirect
1020. #448	C₂²×C₆₇	semidirect
1022. #442	C₂²×C₆₇	semidirect
1023. #442	C₂²×C₆₇	semidirect
1024. #441	C₂²×C₆₇	semidirect
1025. #441	C₂²×C₆₇	semidirect
1026. #440	C₂²×C₆₇	semidirect
1027. #440	C₂²×C₆₇	semidirect
1028. #440	C₂²×C₆₇	semidirect
1029. #440	C₂²×C₆₇	semidirect
1030. C₄×Q₁₆	C₂²×C₆₇	semidirect
1031. C₄×SD₁₆	C₂²×C₆₇	semidirect
1032. C₄×SD₁₆	C₂²×C₆₇	semidirect
1033. C₄×SD₁₆	C₂²×C₆₇	semidirect
1034. C₄×SD₁₆	C₂²×C₆₇	semidirect
1035. C₄×SD₁₆	C₂²×C₆₇	semidirect
1036. C₄×SD₁₆	C₂²×C₆₇	semidirect
1037. C₄×D₈	C₂²×C₆₇	semidirect
1042. #433	C₂²×C₆₇	semidirect
1043. #433	C₂²×C₆₇	semidirect
1044. #433	C₂²×C₆₇	semidirect
1045. #433	C₂²×C₆₇	semidirect
1046. C₂×C₄⋊C₈	C₂²×C₆₇	semidirect
1047. C₂×C₄⋊C₈	C₂²×C₆₇	semidirect
1050. C₂×#97	C₂²×C₆₇	semidirect
1051. C₂×C₄×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×#3495	2
C₆₇×#3494	2
C₆₇×#3250	2
C₆₇×#3248	2
C₆₇×#3247	2
C₆₇×#3246	2
C₆₇×#3244	2
C₆₇×#3242	2
C₆₇×#3241	2
C₆₇×#3225	2
C₆₇×#3224	2
C₆₇×#3222	2
C₆₇×#3221	2
C₆₇×#3191	2
C₆₇×#3190	2
C₆₇×#3188	2
C₆₇×#3187	2
C₆₇×#3181	2
C₆₇×#3180	2
C₆₇×#3168	2
C₆₇×#3167	2
C₆₇×#3126	2
C₆₇×#3125	2
C₆₇×#3123	2
C₆₇×#3121	2
C₆₇×#3120	2
C₆₇×#3119	2
C₆₇×#3118	2
C₂×#433×C₆₇	2
#61001	67

Subgroups — C67×#61001 #30740252

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#61001 #30740252