Subgroups — C₆₇×#60299 #30739550

Order 17152.

1726 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×#3475	C₂	1	1	yes	maximal, characteristic
2	C₆₇×#2995	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#2995	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#2994	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#2993	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#2992	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#2992	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#2990	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#2989	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#2987	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2985	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#2978	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#2977	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#2976	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#2976	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#2974	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#2973	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#2970	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#2969	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#2968	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#2968	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2967	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#2967	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#2966	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#2965	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#2924	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₇×#2924	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₇×#2923	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₇×#2921	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#433×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	#556×C₆₇	C₄	1	1	yes	characteristic
33	#555×C₆₇	C₄	1	1	yes	characteristic
34	#554×C₆₇	C₄	1	1	yes	characteristic
35	#553×C₆₇	C₄	1	1	yes	characteristic
36	#553×C₆₇	C₄	1	1	yes	characteristic
37	#552×C₆₇	C₄	1	1	yes	characteristic
38	#552×C₆₇	C₄	1	1	yes	characteristic
39	#552×C₆₇	C₄	1	1	yes	characteristic
40	#552×C₆₇	C₄	1	1	yes	characteristic
41	#551×C₆₇	C₄	1	1	yes	characteristic
42	#551×C₆₇	C₄	1	1	yes	characteristic
43	#551×C₆₇	C₄	1	1	yes	characteristic
44	#551×C₆₇	C₄	1	1	yes	characteristic
45	#547×C₆₇	C₄	1	1	yes	characteristic
46	#546×C₆₇	C₄	1	1	yes	characteristic
47	#546×C₆₇	C₄	1	1	yes	characteristic
48	#533×C₆₇	C₂²	1	1	yes	characteristic
49	#529×C₆₇	C₂²	1	1	yes	characteristic
50	#529×C₆₇	C₂²	1	1	yes	characteristic
51	#529×C₆₇	C₂²	1	1	yes	characteristic
52	#529×C₆₇	C₂²	1	1	yes	characteristic
53	#529×C₆₇	C₂²	1	1	yes	characteristic
54	#529×C₆₇	C₂²	1	1	yes	characteristic
55	#525×C₆₇	C₂²	1	1	yes	characteristic
56	#525×C₆₇	C₂²	1	1	yes	characteristic
57	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic
58	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic
59	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
61	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
62	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
63	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
64	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
65	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
66	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
67	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
68	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
69	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
70	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
71	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
72	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
73	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
74	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
75	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
76	#446×C₆₇	C₂²	1	1	yes	characteristic, complemented
77	C₈×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
78	C₈×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
79	#436×C₆₇	C₂²	1	1	yes	characteristic
80	#436×C₆₇	C₂²	1	1	yes	characteristic
81	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
82	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
83	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
84	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
85	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
86	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
88	#436×C₆₇	C₂²	1	1	yes	characteristic, complemented
89	#435×C₆₇	C₂²	1	1	yes	characteristic
90	#435×C₆₇	C₂²	1	1	yes	characteristic
91	#435×C₆₇	C₂²	1	1	yes	characteristic
92	#435×C₆₇	C₂²	1	1	yes	characteristic
93	#435×C₆₇	C₂²	1	1	yes	characteristic
94	#435×C₆₇	C₂²	1	1	yes	characteristic
95	#435×C₆₇	C₂²	1	1	yes	characteristic
96	#435×C₆₇	C₂²	1	1	yes	characteristic
97	#435×C₆₇	C₂²	1	1	yes	characteristic
98	#435×C₆₇	C₂²	1	1	yes	characteristic
99	#435×C₆₇	C₂²	1	1	yes	characteristic
100	#435×C₆₇	C₂²	1	1	yes	characteristic
101	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
102	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
103	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
104	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
105	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
106	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
107	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
108	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
109	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
112	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
113	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
114	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
115	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
116	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
117	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic
118	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic
119	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
120	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
121	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
122	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
123	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
124	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
125	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
126	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	#433×C₆₇	C₂²	1	1	yes	characteristic
128	#433×C₆₇	C₂²	1	1	yes	characteristic
129	#433×C₆₇	C₂²	1	1	yes	characteristic
130	#433×C₆₇	C₂²	1	1	yes	characteristic
131	#433×C₆₇	C₂²	1	1	yes	characteristic
132	#433×C₆₇	C₂²	1	1	yes	characteristic
133	#433×C₆₇	C₂²	1	1	yes	characteristic
134	#433×C₆₇	C₂²	1	1	yes	characteristic
135	#433×C₆₇	C₂²	1	1	yes	characteristic
136	#433×C₆₇	C₂²	1	1	yes	characteristic
137	#433×C₆₇	C₂²	1	1	yes	characteristic
138	#433×C₆₇	C₂²	1	1	yes	characteristic
139	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
140	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
141	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
142	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
144	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
148	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
149	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#432×C₆₇	C₂²	1	1	yes	characteristic
152	#432×C₆₇	C₂²	1	1	yes	characteristic
153	#432×C₆₇	C₂²	1	1	yes	characteristic
154	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
155	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
156	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
157	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
158	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
160	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
161	#431×C₆₇	C₂²	1	1	yes	characteristic
162	#431×C₆₇	C₂²	1	1	yes	characteristic, complemented
163	#431×C₆₇	C₂²	1	1	yes	characteristic, complemented
164	#431×C₆₇	C₂²	1	1	yes	characteristic, complemented
165	#431×C₆₇	C₂²	1	1	yes	characteristic, complemented
166	#431×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	#424×C₆₇	C₂²	1	1	yes	characteristic, complemented
168	#424×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#424×C₆₇	C₂²	1	1	yes	characteristic, complemented
170	#424×C₆₇	C₂²	1	1	yes	characteristic, complemented
171	#424×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	#424×C₆₇	C₂²	1	1	yes	characteristic, complemented
173	#423×C₆₇	C₂²	1	1	yes	characteristic, complemented
174	#423×C₆₇	C₂²	1	1	yes	characteristic, complemented
175	#423×C₆₇	C₂²	1	1	yes	characteristic, complemented
176	C₂×C₄⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₄⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
179	#408×C₆₇	C₂²	1	1	yes	characteristic
180	#408×C₆₇	C₂²	1	1	yes	characteristic
181	#408×C₆₇	C₂²	1	1	yes	characteristic
182	#408×C₆₇	C₂²	1	1	yes	characteristic
183	#407×C₆₇	C₂²	1	1	yes	characteristic
184	#407×C₆₇	C₂²	1	1	yes	characteristic
185	#407×C₆₇	C₂²	1	1	yes	characteristic
186	#407×C₆₇	C₂²	1	1	yes	characteristic
187	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic
188	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic
189	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic
190	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic
191	#405×C₆₇	C₂²	1	1	yes	characteristic, complemented
192	#405×C₆₇	C₂²	1	1	yes	characteristic, complemented
193	#405×C₆₇	C₂²	1	1	yes	characteristic, complemented
194	#405×C₆₇	C₂²	1	1	yes	characteristic, complemented
195	#405×C₆₇	C₂²	1	1	yes	characteristic, complemented
196	#405×C₆₇	C₂²	1	1	yes	characteristic, complemented
197	C₄×M₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
198	C₄×M₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
199	C₄×M₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
200	C₂×#97×C₆₇	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₄	1	1	yes	characteristic
204	C₂×#41×C₆₇	C₂×C₄	1	1	yes	characteristic
205	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
207	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
209	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
210	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
211	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
212	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
213	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
214	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
215	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
216	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
219	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
226	C₂²×C₈×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	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
234	C₄⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
235	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
236	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
237	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
238	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
239	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
240	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
241	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
242	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
243	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
244	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
245	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
246	#126×C₆₇	C₂×C₄	1	1	yes	characteristic
247	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
248	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
249	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
250	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
251	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
252	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
253	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
254	#125×C₆₇	C₂×C₄	1	1	yes	characteristic
255	#124×C₆₇	C₂×C₄	1	1	yes	characteristic
256	#124×C₆₇	C₂×C₄	1	1	yes	characteristic
257	#124×C₆₇	C₂×C₄	1	1	yes	characteristic
258	#124×C₆₇	C₂×C₄	1	1	yes	characteristic
259	#124×C₆₇	C₂×C₄	1	1	yes	characteristic
260	#124×C₆₇	C₂×C₄	1	1	yes	characteristic
261	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
262	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
263	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
264	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
265	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
266	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
267	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
268	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
269	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
270	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
271	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
272	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
273	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
274	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
275	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
276	#123×C₆₇	C₂×C₄	1	1	yes	characteristic
277	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
278	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
279	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
280	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
281	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
282	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
283	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
284	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
285	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
286	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
287	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
288	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
289	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
290	C₂²⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
291	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
292	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
293	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
294	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
295	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
296	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
297	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
298	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
299	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
300	#121×C₆₇	C₂×C₄	1	1	yes	characteristic
301	#120×C₆₇	C₂×C₄	1	1	yes	characteristic
302	#120×C₆₇	C₂×C₄	1	1	yes	characteristic
303	#120×C₆₇	C₂×C₄	1	1	yes	characteristic
304	#120×C₆₇	C₂×C₄	1	1	yes	characteristic
305	C₄×Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
306	C₄×Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
307	C₄×Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
308	C₄×Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
309	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
310	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
311	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
312	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
313	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
314	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
315	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
316	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
317	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
318	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
319	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
320	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
321	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
322	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
323	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
324	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
325	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
326	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
327	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
328	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
329	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
330	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
331	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
332	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
333	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
334	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
335	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
336	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
337	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
338	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
339	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
340	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
341	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
342	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
343	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
344	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
345	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
346	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
347	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
348	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
349	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
350	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
351	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
352	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
353	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
354	#117×C₆₇	C₂×C₄	1	1	yes	characteristic
355	#117×C₆₇	C₂³	1	1	yes	characteristic
356	#117×C₆₇	C₂³	1	1	yes	characteristic
357	#117×C₆₇	C₂³	1	1	yes	characteristic
358	#117×C₆₇	C₂³	1	1	yes	characteristic
359	#117×C₆₇	C₂³	1	1	yes	characteristic
360	#117×C₆₇	C₂³	1	1	yes	characteristic
361	#117×C₆₇	C₂³	1	1	yes	characteristic
362	#117×C₆₇	C₂³	1	1	yes	characteristic
363	#117×C₆₇	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
365	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
366	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
367	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
368	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
372	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
375	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
376	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
377	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
378	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
379	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
380	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
381	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
382	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
383	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
384	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
385	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
386	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
387	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
388	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
389	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
390	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
391	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
392	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
393	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
394	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
395	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
396	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
397	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
398	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
399	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
400	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
401	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
402	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
403	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
404	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
405	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
406	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
407	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
408	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
409	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
410	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
411	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
412	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
413	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
414	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
415	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
416	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
417	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
418	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
419	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
420	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
421	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
422	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
423	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
424	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
425	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
426	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
427	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
428	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
429	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
430	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
431	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
432	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
433	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
434	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
435	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
436	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
437	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
438	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
439	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
440	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
441	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
442	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
443	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
444	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
445	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
446	#97×C₆₇	C₂³	1	1	yes	characteristic
447	#97×C₆₇	C₂³	1	1	yes	characteristic
448	#97×C₆₇	C₂³	1	1	yes	characteristic
449	#97×C₆₇	C₂³	1	1	yes	characteristic
450	#97×C₆₇	C₂³	1	1	yes	characteristic
451	#97×C₆₇	C₂³	1	1	yes	characteristic
452	#97×C₆₇	C₂³	1	1	yes	characteristic
453	#97×C₆₇	C₂³	1	1	yes	characteristic
454	#97×C₆₇	C₂³	1	1	yes	characteristic
455	#97×C₆₇	C₂³	1	1	yes	characteristic
456	#97×C₆₇	C₂³	1	1	yes	characteristic
457	#97×C₆₇	C₂³	1	1	yes	characteristic
458	#97×C₆₇	C₂³	1	1	yes	characteristic
459	#97×C₆₇	C₂³	1	1	yes	characteristic
460	#97×C₆₇	C₂³	1	1	yes	characteristic
461	#97×C₆₇	C₂³	1	1	yes	characteristic
462	#97×C₆₇	C₂³	1	1	yes	characteristic
463	#97×C₆₇	C₂³	1	1	yes	characteristic
464	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
465	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
466	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
467	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
468	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
469	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
470	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
471	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
473	C₄×C₈×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	C₂²×C₄	1	1	yes	characteristic
479	C₂⁴×C₆₇	C₂²×C₄	1	1	yes	characteristic
480	#41×C₆₇	—	4	1	no	—
481	#41×C₆₇	—	4	1	no	—
482	#41×C₆₇	—	4	2	no	—
483	#41×C₆₇	—	4	2	no	—
484	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
485	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
486	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
487	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
488	C₂×Q₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₆₇	—	4	2	no	—
490	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
493	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
494	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
495	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
496	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
497	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
498	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
499	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
500	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
504	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
505	C₂²×C₄×C₆₇	—	4	1	no	—
506	C₂²×C₄×C₆₇	—	4	1	no	—
507	C₂²×C₄×C₆₇	—	4	1	no	—
508	C₂²×C₄×C₆₇	—	4	1	no	—
509	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
510	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
512	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
513	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
515	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
516	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
517	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
518	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
519	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
520	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
521	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
522	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
523	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
524	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
525	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
526	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
527	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
528	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
529	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
536	M₁₆×C₆₇	—	4	1	no	—
537	M₁₆×C₆₇	—	4	1	no	—
538	M₁₆×C₆₇	—	4	1	no	—
539	M₁₆×C₆₇	—	4	1	no	—
540	M₁₆×C₆₇	—	4	1	no	—
541	M₁₆×C₆₇	—	4	1	no	—
542	M₁₆×C₆₇	—	4	1	no	—
543	M₁₆×C₆₇	—	4	1	no	—
544	M₁₆×C₆₇	—	4	1	no	—
545	M₁₆×C₆₇	—	4	1	no	—
546	M₁₆×C₆₇	—	4	1	no	—
547	M₁₆×C₆₇	—	4	1	no	—
548	C₂×C₈×C₆₇	—	4	1	no	—
549	C₂×C₈×C₆₇	—	4	1	no	—
550	C₂×C₈×C₆₇	—	4	1	no	—
551	C₂×C₈×C₆₇	—	4	1	no	—
552	C₂×C₈×C₆₇	—	4	1	no	—
553	C₂×C₈×C₆₇	—	4	1	no	—
554	C₂×C₈×C₆₇	—	4	1	no	—
555	C₂×C₈×C₆₇	—	4	1	no	—
556	C₂×C₈×C₆₇	—	4	1	no	—
557	C₂×C₈×C₆₇	—	4	1	no	—
558	C₂×C₈×C₆₇	—	4	1	no	—
559	C₂×C₈×C₆₇	—	4	1	no	—
560	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
576	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
577	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
578	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
579	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
580	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
581	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
582	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
583	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
584	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
585	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
597	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
598	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
599	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
600	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
601	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
602	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
603	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
604	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
605	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
606	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
607	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
608	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
609	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
610	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
611	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
626	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
628	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
629	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
630	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
636	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
637	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
638	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
639	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
640	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
660	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
661	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
662	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
663	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
664	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
665	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
666	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
667	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
668	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
669	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
670	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
671	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
672	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
673	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
674	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
675	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
676	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
677	C₄²×C₆₇	C₂⁴	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	—	4	1	no	—
684	C₂³×C₆₇	—	4	1	no	—
685	C₂³×C₆₇	—	4	1	no	—
686	C₂³×C₆₇	—	4	1	no	—
687	C₂³×C₆₇	—	4	1	no	—
688	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
689	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
690	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
691	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
692	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
693	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
694	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
695	Q₈×C₆₇	—	4	1	no	—
696	Q₈×C₆₇	—	4	1	no	—
697	Q₈×C₆₇	—	4	1	no	—
698	Q₈×C₆₇	—	4	1	no	—
699	Q₈×C₆₇	—	4	1	no	—
700	D₄×C₆₇	—	2	2	no	—
701	D₄×C₆₇	—	2	2	no	—
702	D₄×C₆₇	—	2	2	no	—
703	D₄×C₆₇	—	2	2	no	—
704	D₄×C₆₇	—	4	1	no	—
705	D₄×C₆₇	—	4	1	no	—
706	D₄×C₆₇	—	4	1	no	—
707	D₄×C₆₇	—	4	1	no	—
708	D₄×C₆₇	—	4	1	no	—
709	D₄×C₆₇	—	4	1	no	—
710	D₄×C₆₇	—	4	1	no	—
711	D₄×C₆₇	—	4	1	no	—
712	D₄×C₆₇	—	4	1	no	—
713	D₄×C₆₇	—	4	1	no	—
714	D₄×C₆₇	—	4	1	no	—
715	C₂×C₄×C₆₇	—	2	2	no	—
716	C₂×C₄×C₆₇	—	2	2	no	—
717	C₂×C₄×C₆₇	—	2	1	no	—
718	C₂×C₄×C₆₇	—	2	1	no	—
719	C₂×C₄×C₆₇	—	2	1	no	—
720	C₂×C₄×C₆₇	—	2	1	no	—
721	C₂×C₄×C₆₇	—	2	1	no	—
722	C₂×C₄×C₆₇	—	2	1	no	—
723	C₂×C₄×C₆₇	—	2	1	no	—
724	C₂×C₄×C₆₇	—	2	1	no	—
725	C₂×C₄×C₆₇	—	2	1	no	—
726	C₂×C₄×C₆₇	—	2	1	no	—
727	C₂×C₄×C₆₇	—	2	1	no	—
728	C₂×C₄×C₆₇	—	2	1	no	—
729	C₂×C₄×C₆₇	—	2	1	no	—
730	C₂×C₄×C₆₇	—	2	1	no	—
731	C₂×C₄×C₆₇	—	4	1	no	—
732	C₂×C₄×C₆₇	—	4	1	no	—
733	C₂×C₄×C₆₇	—	4	1	no	—
734	C₂×C₄×C₆₇	—	4	1	no	—
735	C₂×C₄×C₆₇	—	4	1	no	—
736	C₂×C₄×C₆₇	—	4	1	no	—
737	C₂×C₄×C₆₇	—	4	1	no	—
738	C₂×C₄×C₆₇	—	4	1	no	—
739	C₂×C₄×C₆₇	—	4	1	no	—
740	C₂×C₄×C₆₇	—	4	1	no	—
741	C₂×C₄×C₆₇	—	4	1	no	—
742	C₂×C₄×C₆₇	—	4	1	no	—
743	C₂×C₄×C₆₇	—	4	1	no	—
744	C₂×C₄×C₆₇	—	4	1	no	—
745	C₂×C₄×C₆₇	—	4	1	no	—
746	C₂×C₄×C₆₇	—	4	1	no	—
747	C₂×C₄×C₆₇	—	4	1	no	—
748	C₂×C₄×C₆₇	—	4	1	no	—
749	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
750	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
751	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
752	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
753	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
754	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
755	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
756	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
757	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
758	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
759	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
760	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
761	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
762	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
763	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
764	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
765	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
766	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
767	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
768	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
769	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
770	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
771	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
772	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
773	C₈×C₆₇	—	2	1	no	—
774	C₈×C₆₇	—	2	1	no	—
775	C₈×C₆₇	—	2	1	no	—
776	C₈×C₆₇	—	2	1	no	—
777	C₈×C₆₇	—	2	1	no	—
778	C₈×C₆₇	—	2	1	no	—
779	C₈×C₆₇	—	2	1	no	—
780	C₈×C₆₇	—	2	1	no	—
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	—	2	1	no	—
798	C₂²×C₆₇	—	2	1	no	—
799	C₂²×C₆₇	—	2	1	no	—
800	C₂²×C₆₇	—	2	1	no	—
801	C₂²×C₆₇	—	2	1	no	—
802	C₂²×C₆₇	—	2	1	no	—
803	C₂²×C₆₇	—	2	1	no	—
804	C₂²×C₆₇	—	2	1	no	—
805	C₂²×C₆₇	—	2	1	no	—
806	C₂²×C₆₇	—	2	1	no	—
807	C₂²×C₆₇	—	2	1	no	—
808	C₂²×C₆₇	—	2	1	no	—
809	C₂²×C₆₇	—	8	2	no	—
810	C₂²×C₆₇	—	8	2	no	—
811	C₂²×C₆₇	#568	1	2	yes	—
812	C₂²×C₆₇	C₂⁴×C₄	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	—	2	1	no	—
825	C₄×C₆₇	—	2	1	no	—
826	C₄×C₆₇	—	2	1	no	—
827	C₄×C₆₇	—	2	1	no	—
828	C₄×C₆₇	—	2	1	no	—
829	C₄×C₆₇	—	2	1	no	—
830	C₄×C₆₇	—	2	1	no	—
831	C₄×C₆₇	—	2	1	no	—
832	C₄×C₆₇	—	2	1	no	—
833	C₄×C₆₇	—	2	1	no	—
834	C₄×C₆₇	—	2	1	no	—
835	C₄×C₆₇	—	2	1	no	—
836	C₄×C₆₇	#585	1	1	yes	characteristic
837	C₄×C₆₇	#585	1	1	yes	characteristic
838	#60299	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	—	4	1	no	—
843	C₂×C₆₇	—	4	1	no	—
844	C₂×C₆₇	—	4	1	no	—
845	C₂×C₆₇	—	4	1	no	—
846	C₂×C₆₇	#3428	1	1	yes	characteristic
847	C₂×C₆₇	C₂×#568	1	1	yes	characteristic
848	C₂×C₆₇	#3573	1	1	yes	characteristic
849	#3475	C₂×C₆₇	1	1	yes	characteristic
850	#2995	C₂×C₆₇	1	1	yes	characteristic, complemented
851	#2995	C₂×C₆₇	1	1	yes	characteristic, complemented
852	#2994	C₂×C₆₇	1	1	yes	characteristic, complemented
853	#2993	C₂×C₆₇	1	1	yes	characteristic, complemented
854	#2992	C₂×C₆₇	1	1	yes	characteristic, complemented
855	#2992	C₂×C₆₇	1	1	yes	characteristic, complemented
856	#2990	C₂×C₆₇	1	1	yes	characteristic, complemented
857	#2989	C₂×C₆₇	1	1	yes	characteristic, complemented
858	#2987	C₂×C₆₇	1	1	yes	characteristic, complemented
859	#2985	C₂×C₆₇	1	1	yes	characteristic, complemented
860	#2978	C₂×C₆₇	1	1	yes	characteristic, complemented
861	#2977	C₂×C₆₇	1	1	yes	characteristic, complemented
862	#2976	C₂×C₆₇	1	1	yes	characteristic, complemented
863	#2976	C₂×C₆₇	1	1	yes	characteristic, complemented
864	#2974	C₂×C₆₇	1	1	yes	characteristic, complemented
865	#2973	C₂×C₆₇	1	1	yes	characteristic, complemented
866	#2970	C₂×C₆₇	1	1	yes	characteristic, complemented
867	#2969	C₂×C₆₇	1	1	yes	characteristic, complemented
868	#2968	C₂×C₆₇	1	1	yes	characteristic, complemented
869	#2968	C₂×C₆₇	1	1	yes	characteristic, complemented
870	#2967	C₂×C₆₇	1	1	yes	characteristic, complemented
871	#2967	C₂×C₆₇	1	1	yes	characteristic, complemented
872	#2966	C₂×C₆₇	1	1	yes	characteristic, complemented
873	#2965	C₂×C₆₇	1	1	yes	characteristic, complemented
874	#2925	C₂×C₆₇	1	1	yes	characteristic, complemented
875	#2924	C₂×C₆₇	1	1	yes	characteristic, complemented
876	#2924	C₂×C₆₇	1	1	yes	characteristic, complemented
877	#2923	C₂×C₆₇	1	1	yes	characteristic, complemented
878	#2921	C₂×C₆₇	1	1	yes	characteristic, complemented
879	C₂×#433	C₂×C₆₇	1	1	yes	characteristic, complemented
880	C₆₇	#60299	1	1	yes	characteristic, direct product factor, Sylow
881	#556	C₄×C₆₇	1	1	yes	characteristic
882	#555	C₄×C₆₇	1	1	yes	characteristic
883	#554	C₄×C₆₇	1	1	yes	characteristic
884	#553	C₄×C₆₇	1	1	yes	characteristic
885	#553	C₄×C₆₇	1	1	yes	characteristic
886	#552	C₄×C₆₇	1	1	yes	characteristic
887	#552	C₄×C₆₇	1	1	yes	characteristic
888	#552	C₄×C₆₇	1	1	yes	characteristic
889	#552	C₄×C₆₇	1	1	yes	characteristic
890	#551	C₄×C₆₇	1	1	yes	characteristic
891	#551	C₄×C₆₇	1	1	yes	characteristic
892	#551	C₄×C₆₇	1	1	yes	characteristic
893	#551	C₄×C₆₇	1	1	yes	characteristic
894	#547	C₄×C₆₇	1	1	yes	characteristic
895	#546	C₄×C₆₇	1	1	yes	characteristic
896	#546	C₄×C₆₇	1	1	yes	characteristic
897	#533	C₂²×C₆₇	1	1	yes	characteristic
898	#529	C₂²×C₆₇	1	1	yes	characteristic
899	#529	C₂²×C₆₇	1	1	yes	characteristic
900	#529	C₂²×C₆₇	1	1	yes	characteristic
901	#529	C₂²×C₆₇	1	1	yes	characteristic
902	#529	C₂²×C₆₇	1	1	yes	characteristic
903	#529	C₂²×C₆₇	1	1	yes	characteristic
904	#525	C₂²×C₆₇	1	1	yes	characteristic
905	#525	C₂²×C₆₇	1	1	yes	characteristic
906	C₄×#41	C₂²×C₆₇	1	1	yes	characteristic
907	C₄×#41	C₂²×C₆₇	1	1	yes	characteristic
908	C₄×#41	C₂²×C₆₇	1	1	yes	characteristic
909	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
910	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
911	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
912	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
913	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
914	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
915	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
916	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
917	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
918	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
919	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
920	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
921	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
922	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
923	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
924	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
925	#446	C₂²×C₆₇	1	1	yes	characteristic, complemented
926	C₈×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
927	C₈×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
928	#436	C₂²×C₆₇	1	1	yes	characteristic
929	#436	C₂²×C₆₇	1	1	yes	characteristic
930	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
931	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
932	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
933	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
934	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
935	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
936	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
937	#436	C₂²×C₆₇	1	1	yes	characteristic, complemented
938	#435	C₂²×C₆₇	1	1	yes	characteristic
939	#435	C₂²×C₆₇	1	1	yes	characteristic
940	#435	C₂²×C₆₇	1	1	yes	characteristic
941	#435	C₂²×C₆₇	1	1	yes	characteristic
942	#435	C₂²×C₆₇	1	1	yes	characteristic
943	#435	C₂²×C₆₇	1	1	yes	characteristic
944	#435	C₂²×C₆₇	1	1	yes	characteristic
945	#435	C₂²×C₆₇	1	1	yes	characteristic
946	#435	C₂²×C₆₇	1	1	yes	characteristic
947	#435	C₂²×C₆₇	1	1	yes	characteristic
948	#435	C₂²×C₆₇	1	1	yes	characteristic
949	#435	C₂²×C₆₇	1	1	yes	characteristic
950	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
951	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
952	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
953	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
954	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
955	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
956	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
957	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
958	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
959	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
960	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
961	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
962	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
963	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
964	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
965	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
966	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic
967	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic
968	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
969	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
970	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
971	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
972	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
973	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
974	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
975	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
976	#433	C₂²×C₆₇	1	1	yes	characteristic
977	#433	C₂²×C₆₇	1	1	yes	characteristic
978	#433	C₂²×C₆₇	1	1	yes	characteristic
979	#433	C₂²×C₆₇	1	1	yes	characteristic
980	#433	C₂²×C₆₇	1	1	yes	characteristic
981	#433	C₂²×C₆₇	1	1	yes	characteristic
982	#433	C₂²×C₆₇	1	1	yes	characteristic
983	#433	C₂²×C₆₇	1	1	yes	characteristic
984	#433	C₂²×C₆₇	1	1	yes	characteristic
985	#433	C₂²×C₆₇	1	1	yes	characteristic
986	#433	C₂²×C₆₇	1	1	yes	characteristic
987	#433	C₂²×C₆₇	1	1	yes	characteristic
988	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
989	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
990	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
991	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
992	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
993	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
994	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
995	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
996	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
997	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
998	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
999	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
1000	#432	C₂²×C₆₇	1	1	yes	characteristic
1001	#432	C₂²×C₆₇	1	1	yes	characteristic
1002	#432	C₂²×C₆₇	1	1	yes	characteristic
1003	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1004	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1005	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1006	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1007	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1008	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1009	#432	C₂²×C₆₇	1	1	yes	characteristic, complemented
1010	#431	C₂²×C₆₇	1	1	yes	characteristic
1011	#431	C₂²×C₆₇	1	1	yes	characteristic, complemented
1012	#431	C₂²×C₆₇	1	1	yes	characteristic, complemented
1013	#431	C₂²×C₆₇	1	1	yes	characteristic, complemented
1014	#431	C₂²×C₆₇	1	1	yes	characteristic, complemented
1015	#431	C₂²×C₆₇	1	1	yes	characteristic, complemented
1016	#424	C₂²×C₆₇	1	1	yes	characteristic, complemented
1017	#424	C₂²×C₆₇	1	1	yes	characteristic, complemented
1018	#424	C₂²×C₆₇	1	1	yes	characteristic, complemented
1019	#424	C₂²×C₆₇	1	1	yes	characteristic, complemented
1020	#424	C₂²×C₆₇	1	1	yes	characteristic, complemented
1021	#424	C₂²×C₆₇	1	1	yes	characteristic, complemented
1022	#423	C₂²×C₆₇	1	1	yes	characteristic, complemented
1023	#423	C₂²×C₆₇	1	1	yes	characteristic, complemented
1024	#423	C₂²×C₆₇	1	1	yes	characteristic, complemented
1025	C₂×C₄⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1026	C₂×C₄⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1027	C₂×C₄⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1028	#408	C₂²×C₆₇	1	1	yes	characteristic
1029	#408	C₂²×C₆₇	1	1	yes	characteristic
1030	#408	C₂²×C₆₇	1	1	yes	characteristic
1031	#408	C₂²×C₆₇	1	1	yes	characteristic
1032	#407	C₂²×C₆₇	1	1	yes	characteristic
1033	#407	C₂²×C₆₇	1	1	yes	characteristic
1034	#407	C₂²×C₆₇	1	1	yes	characteristic
1035	#407	C₂²×C₆₇	1	1	yes	characteristic
1036	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic
1037	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic
1038	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic
1039	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic
1040	#405	C₂²×C₆₇	1	1	yes	characteristic, complemented
1041	#405	C₂²×C₆₇	1	1	yes	characteristic, complemented
1042	#405	C₂²×C₆₇	1	1	yes	characteristic, complemented
1043	#405	C₂²×C₆₇	1	1	yes	characteristic, complemented
1044	#405	C₂²×C₆₇	1	1	yes	characteristic, complemented
1045	#405	C₂²×C₆₇	1	1	yes	characteristic, complemented
1046	C₄×M₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1047	C₄×M₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1048	C₄×M₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1049	C₂×#97	C₂²×C₆₇	1	1	yes	characteristic, complemented
1050	C₂×#97	C₂²×C₆₇	1	1	yes	characteristic, complemented
1051	C₂×C₄×C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1052	C₂×#41	C₂×C₄×C₆₇	1	1	yes	characteristic
1053	C₂×#41	C₂×C₄×C₆₇	1	1	yes	characteristic
1054	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1055	C₂²×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1056	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1057	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1058	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1059	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1060	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1061	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1062	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1063	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1064	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1065	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1066	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1067	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1069	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1070	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1071	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1072	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1073	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1074	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1075	C₂²×C₈	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	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1081	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1084	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1085	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1086	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1087	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1088	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1089	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1090	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1091	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1092	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1093	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1094	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1095	#126	C₂×C₄×C₆₇	1	1	yes	characteristic
1096	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1097	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1098	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1099	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1100	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1101	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1102	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1103	#125	C₂×C₄×C₆₇	1	1	yes	characteristic
1104	#124	C₂×C₄×C₆₇	1	1	yes	characteristic
1105	#124	C₂×C₄×C₆₇	1	1	yes	characteristic
1106	#124	C₂×C₄×C₆₇	1	1	yes	characteristic
1107	#124	C₂×C₄×C₆₇	1	1	yes	characteristic
1108	#124	C₂×C₄×C₆₇	1	1	yes	characteristic
1109	#124	C₂×C₄×C₆₇	1	1	yes	characteristic
1110	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1111	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1112	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1113	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1114	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1115	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1116	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1117	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1118	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1119	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1120	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1121	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1122	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1123	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1124	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1125	#123	C₂×C₄×C₆₇	1	1	yes	characteristic
1126	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1127	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1128	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1129	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1130	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1131	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1132	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1133	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1134	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1135	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1136	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1137	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1138	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1140	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1141	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1142	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1143	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1144	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1145	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1146	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1147	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1148	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1149	#121	C₂×C₄×C₆₇	1	1	yes	characteristic
1150	#120	C₂×C₄×C₆₇	1	1	yes	characteristic
1151	#120	C₂×C₄×C₆₇	1	1	yes	characteristic
1152	#120	C₂×C₄×C₆₇	1	1	yes	characteristic
1153	#120	C₂×C₄×C₆₇	1	1	yes	characteristic
1154	C₄×Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1155	C₄×Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1156	C₄×Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1157	C₄×Q₈	C₂×C₄×C₆₇	1	1	yes	characteristic
1158	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1159	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1160	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1161	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1162	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1163	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1164	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1165	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1166	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1167	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1168	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1169	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1170	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1171	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1172	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1173	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1174	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1175	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1176	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1177	C₄×D₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1179	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1180	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1188	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1189	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1190	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1191	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1192	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1193	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1194	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1195	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1196	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1197	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1198	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1199	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1200	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1201	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1202	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1203	#117	C₂×C₄×C₆₇	1	1	yes	characteristic
1204	#117	C₂³×C₆₇	1	1	yes	characteristic
1205	#117	C₂³×C₆₇	1	1	yes	characteristic
1206	#117	C₂³×C₆₇	1	1	yes	characteristic
1207	#117	C₂³×C₆₇	1	1	yes	characteristic
1208	#117	C₂³×C₆₇	1	1	yes	characteristic
1209	#117	C₂³×C₆₇	1	1	yes	characteristic
1210	#117	C₂³×C₆₇	1	1	yes	characteristic
1211	#117	C₂³×C₆₇	1	1	yes	characteristic
1212	#117	C₂³×C₆₇	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1216	C₂×C₄⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1217	C₂×C₄⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1218	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1219	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1221	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1222	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1223	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	1	yes	characteristic
1224	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1225	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1226	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1227	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1228	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1229	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1230	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1231	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1232	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1234	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1235	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1236	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1237	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1238	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1239	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1241	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1242	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1258	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1259	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1262	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1263	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1264	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1265	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1266	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1267	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1268	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1269	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1270	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1271	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1272	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1273	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1274	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1275	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1276	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1277	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1279	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1280	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1281	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1282	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1283	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1284	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1294	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1295	#97	C₂³×C₆₇	1	1	yes	characteristic
1296	#97	C₂³×C₆₇	1	1	yes	characteristic
1297	#97	C₂³×C₆₇	1	1	yes	characteristic
1298	#97	C₂³×C₆₇	1	1	yes	characteristic
1299	#97	C₂³×C₆₇	1	1	yes	characteristic
1300	#97	C₂³×C₆₇	1	1	yes	characteristic
1301	#97	C₂³×C₆₇	1	1	yes	characteristic
1302	#97	C₂³×C₆₇	1	1	yes	characteristic
1303	#97	C₂³×C₆₇	1	1	yes	characteristic
1304	#97	C₂³×C₆₇	1	1	yes	characteristic
1305	#97	C₂³×C₆₇	1	1	yes	characteristic
1306	#97	C₂³×C₆₇	1	1	yes	characteristic
1307	#97	C₂³×C₆₇	1	1	yes	characteristic
1308	#97	C₂³×C₆₇	1	1	yes	characteristic
1309	#97	C₂³×C₆₇	1	1	yes	characteristic
1310	#97	C₂³×C₆₇	1	1	yes	characteristic
1311	#97	C₂³×C₆₇	1	1	yes	characteristic
1312	#97	C₂³×C₆₇	1	1	yes	characteristic
1313	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1314	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1315	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1316	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1317	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1318	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1319	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1320	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1321	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1322	C₄×C₈	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	C₂²×C₄×C₆₇	1	1	yes	characteristic
1328	C₂⁴	C₂²×C₄×C₆₇	1	1	yes	characteristic
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	2	no	—
1332	#41	—	4	2	no	—
1333	C₂×Q₈	C₂²×C₄×C₆₇	1	1	yes	characteristic
1334	C₂×Q₈	C₂²×C₄×C₆₇	1	1	yes	characteristic
1335	C₂×Q₈	C₂²×C₄×C₆₇	1	1	yes	characteristic
1336	C₂×Q₈	C₂²×C₄×C₆₇	1	1	yes	characteristic
1337	C₂×Q₈	C₂²×C₄×C₆₇	1	1	yes	characteristic
1338	C₂×D₄	—	4	2	no	—
1339	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1340	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1341	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1342	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1343	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1344	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1345	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1346	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1347	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1348	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1349	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1350	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1351	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1352	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1353	C₂×D₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1354	C₂²×C₄	—	4	1	no	—
1355	C₂²×C₄	—	4	1	no	—
1356	C₂²×C₄	—	4	1	no	—
1357	C₂²×C₄	—	4	1	no	—
1358	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1359	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1360	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1361	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1362	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1363	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1364	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1365	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1366	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1367	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1368	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1369	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1370	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1371	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1372	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1373	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1374	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1375	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1376	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1377	C₂²×C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1379	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1380	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1381	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1382	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1383	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1384	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1385	M₁₆	—	4	1	no	—
1386	M₁₆	—	4	1	no	—
1387	M₁₆	—	4	1	no	—
1388	M₁₆	—	4	1	no	—
1389	M₁₆	—	4	1	no	—
1390	M₁₆	—	4	1	no	—
1391	M₁₆	—	4	1	no	—
1392	M₁₆	—	4	1	no	—
1393	M₁₆	—	4	1	no	—
1394	M₁₆	—	4	1	no	—
1395	M₁₆	—	4	1	no	—
1396	M₁₆	—	4	1	no	—
1397	C₂×C₈	—	4	1	no	—
1398	C₂×C₈	—	4	1	no	—
1399	C₂×C₈	—	4	1	no	—
1400	C₂×C₈	—	4	1	no	—
1401	C₂×C₈	—	4	1	no	—
1402	C₂×C₈	—	4	1	no	—
1403	C₂×C₈	—	4	1	no	—
1404	C₂×C₈	—	4	1	no	—
1405	C₂×C₈	—	4	1	no	—
1406	C₂×C₈	—	4	1	no	—
1407	C₂×C₈	—	4	1	no	—
1408	C₂×C₈	—	4	1	no	—
1409	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1410	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1411	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1412	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
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	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1422	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1423	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1424	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1425	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1426	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1427	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1428	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1429	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1430	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1431	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1432	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1433	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1434	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1435	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1436	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1437	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1438	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1439	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1440	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1441	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1442	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1443	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1444	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1445	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1446	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1447	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1448	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1449	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1450	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1451	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1452	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1453	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1454	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1455	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1456	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1457	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1458	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1459	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1460	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1461	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1462	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1463	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1464	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1465	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1466	C₄⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1468	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1469	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1479	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1480	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1481	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1482	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1483	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1484	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1489	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1490	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1491	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1492	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1493	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1494	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1502	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1503	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1504	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂²×C₄×C₆₇	1	1	yes	characteristic
1509	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1510	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1511	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1512	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1513	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1514	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1515	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1516	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1517	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1518	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1519	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1520	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1521	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1522	C₄²	C₂²×C₄×C₆₇	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1526	C₄²	C₂⁴×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	—	4	1	no	—
1533	C₂³	—	4	1	no	—
1534	C₂³	—	4	1	no	—
1535	C₂³	—	4	1	no	—
1536	C₂³	—	4	1	no	—
1537	C₂³	C₂³×C₄×C₆₇	1	1	yes	characteristic
1538	C₂³	C₂³×C₄×C₆₇	1	1	yes	characteristic
1539	C₂³	C₂³×C₄×C₆₇	1	1	yes	characteristic
1540	C₂³	C₂³×C₄×C₆₇	1	1	yes	characteristic
1541	C₂³	C₂³×C₄×C₆₇	1	1	yes	characteristic
1542	C₂³	C₂³×C₄×C₆₇	1	1	yes	characteristic
1543	C₂³	C₂³×C₄×C₆₇	1	1	yes	characteristic
1544	Q₈	—	4	1	no	—
1545	Q₈	—	4	1	no	—
1546	Q₈	—	4	1	no	—
1547	Q₈	—	4	1	no	—
1548	Q₈	—	4	1	no	—
1549	D₄	—	2	2	no	—
1550	D₄	—	2	2	no	—
1551	D₄	—	2	2	no	—
1552	D₄	—	2	2	no	—
1553	D₄	—	4	1	no	—
1554	D₄	—	4	1	no	—
1555	D₄	—	4	1	no	—
1556	D₄	—	4	1	no	—
1557	D₄	—	4	1	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	4	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	4	1	no	—
1564	C₂×C₄	—	2	2	no	—
1565	C₂×C₄	—	2	2	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	4	1	no	—
1581	C₂×C₄	—	4	1	no	—
1582	C₂×C₄	—	4	1	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	1	no	—
1585	C₂×C₄	—	4	1	no	—
1586	C₂×C₄	—	4	1	no	—
1587	C₂×C₄	—	4	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	4	1	no	—
1590	C₂×C₄	—	4	1	no	—
1591	C₂×C₄	—	4	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1599	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1600	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1601	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1602	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1603	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1604	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1605	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1606	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1607	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1608	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1609	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1610	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1611	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1612	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1613	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1614	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1615	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1616	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1617	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1618	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1619	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1620	C₂×C₄	C₂³×C₄×C₆₇	1	1	yes	characteristic
1621	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1622	C₈	—	2	1	no	—
1623	C₈	—	2	1	no	—
1624	C₈	—	2	1	no	—
1625	C₈	—	2	1	no	—
1626	C₈	—	2	1	no	—
1627	C₈	—	2	1	no	—
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
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	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	8	2	no	—
1659	C₂²	—	8	2	no	—
1660	C₂²	#568×C₆₇	1	2	yes	—
1661	C₂²	C₂⁴×C₄×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	—	2	1	no	—
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	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	—	4	1	no	—
1691	C₂	—	4	1	no	—
1692	C₂	—	4	1	no	—
1693	C₂	—	4	1	no	—
1694	C₂	C₆₇×#3428	1	1	yes	characteristic
1695	C₂	C₂×#568×C₆₇	1	1	yes	characteristic
1696	C₂	C₆₇×#3573	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₆₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₆₇
Frattini, cosocle	C₂×C₄	C₂⁵×C₆₇
socle	C₂²×C₆₇	C₂⁴×C₄
prime radical	C₆₇×#3475	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₆₇×#2995	C₂	semidirect
3. C₆₇×#2995	C₂	semidirect
4. C₆₇×#2994	C₂	semidirect
5. C₆₇×#2993	C₂	semidirect
6. C₆₇×#2992	C₂	semidirect
7. C₆₇×#2992	C₂	semidirect
8. C₆₇×#2990	C₂	semidirect
9. C₆₇×#2989	C₂	semidirect
10. C₆₇×#2987	C₂	semidirect
11. C₆₇×#2985	C₂	semidirect
12. C₆₇×#2978	C₂	semidirect
13. C₆₇×#2977	C₂	semidirect
14. C₆₇×#2976	C₂	semidirect
15. C₆₇×#2976	C₂	semidirect
16. C₆₇×#2974	C₂	semidirect
17. C₆₇×#2973	C₂	semidirect
18. C₆₇×#2970	C₂	semidirect
19. C₆₇×#2969	C₂	semidirect
20. C₆₇×#2968	C₂	semidirect
21. C₆₇×#2968	C₂	semidirect
22. C₆₇×#2967	C₂	semidirect
23. C₆₇×#2967	C₂	semidirect
24. C₆₇×#2966	C₂	semidirect
25. C₆₇×#2965	C₂	semidirect
26. C₆₇×#2925	C₂	semidirect
27. C₆₇×#2924	C₂	semidirect
28. C₆₇×#2924	C₂	semidirect
29. C₆₇×#2923	C₂	semidirect
30. C₆₇×#2921	C₂	semidirect
31. C₂×#433×C₆₇	C₂	semidirect
63. #446×C₆₇	C₂²	semidirect
64. #446×C₆₇	C₂²	semidirect
65. #446×C₆₇	C₂²	semidirect
66. #446×C₆₇	C₂²	semidirect
67. #446×C₆₇	C₂²	semidirect
68. #446×C₆₇	C₂²	semidirect
69. #446×C₆₇	C₂²	semidirect
70. #446×C₆₇	C₂²	semidirect
71. #446×C₆₇	C₂²	semidirect
72. #446×C₆₇	C₂²	semidirect
73. #446×C₆₇	C₂²	semidirect
74. #446×C₆₇	C₂²	semidirect
75. #446×C₆₇	C₂²	semidirect
76. #446×C₆₇	C₂²	semidirect
77. C₈×Q₈×C₆₇	C₂²	semidirect
78. C₈×Q₈×C₆₇	C₂²	semidirect
81. #436×C₆₇	C₂²	semidirect
82. #436×C₆₇	C₂²	semidirect
83. #436×C₆₇	C₂²	semidirect
84. #436×C₆₇	C₂²	semidirect
85. #436×C₆₇	C₂²	semidirect
86. #436×C₆₇	C₂²	semidirect
87. #436×C₆₇	C₂²	semidirect
88. #436×C₆₇	C₂²	semidirect
101. #435×C₆₇	C₂²	semidirect
102. #435×C₆₇	C₂²	semidirect
103. #435×C₆₇	C₂²	semidirect
104. #435×C₆₇	C₂²	semidirect
105. #435×C₆₇	C₂²	semidirect
106. #435×C₆₇	C₂²	semidirect
107. #435×C₆₇	C₂²	semidirect
108. #435×C₆₇	C₂²	semidirect
109. #435×C₆₇	C₂²	semidirect
110. #435×C₆₇	C₂²	semidirect
111. #435×C₆₇	C₂²	semidirect
112. #435×C₆₇	C₂²	semidirect
113. #435×C₆₇	C₂²	semidirect
114. #435×C₆₇	C₂²	semidirect
115. #435×C₆₇	C₂²	semidirect
116. #435×C₆₇	C₂²	semidirect
119. C₈×D₄×C₆₇	C₂²	semidirect
120. C₈×D₄×C₆₇	C₂²	semidirect
121. C₈×D₄×C₆₇	C₂²	semidirect
122. C₈×D₄×C₆₇	C₂²	semidirect
123. C₈×D₄×C₆₇	C₂²	semidirect
124. C₈×D₄×C₆₇	C₂²	semidirect
125. C₈×D₄×C₆₇	C₂²	semidirect
126. C₈×D₄×C₆₇	C₂²	semidirect
139. #433×C₆₇	C₂²	semidirect
140. #433×C₆₇	C₂²	semidirect
141. #433×C₆₇	C₂²	semidirect
142. #433×C₆₇	C₂²	semidirect
143. #433×C₆₇	C₂²	semidirect
144. #433×C₆₇	C₂²	semidirect
145. #433×C₆₇	C₂²	semidirect
146. #433×C₆₇	C₂²	semidirect
147. #433×C₆₇	C₂²	semidirect
148. #433×C₆₇	C₂²	semidirect
149. #433×C₆₇	C₂²	semidirect
150. #433×C₆₇	C₂²	semidirect
154. #432×C₆₇	C₂²	semidirect
155. #432×C₆₇	C₂²	semidirect
156. #432×C₆₇	C₂²	semidirect
157. #432×C₆₇	C₂²	semidirect
158. #432×C₆₇	C₂²	semidirect
159. #432×C₆₇	C₂²	semidirect
160. #432×C₆₇	C₂²	semidirect
162. #431×C₆₇	C₂²	semidirect
163. #431×C₆₇	C₂²	semidirect
164. #431×C₆₇	C₂²	semidirect
165. #431×C₆₇	C₂²	semidirect
166. #431×C₆₇	C₂²	semidirect
167. #424×C₆₇	C₂²	semidirect
168. #424×C₆₇	C₂²	semidirect
169. #424×C₆₇	C₂²	semidirect
170. #424×C₆₇	C₂²	semidirect
171. #424×C₆₇	C₂²	semidirect
172. #424×C₆₇	C₂²	semidirect
173. #423×C₆₇	C₂²	semidirect
174. #423×C₆₇	C₂²	semidirect
175. #423×C₆₇	C₂²	semidirect
176. C₂×C₄⋊C₈×C₆₇	C₂²	semidirect
177. C₂×C₄⋊C₈×C₆₇	C₂²	semidirect
178. C₂×C₄⋊C₈×C₆₇	C₂²	semidirect
191. #405×C₆₇	C₂²	semidirect
192. #405×C₆₇	C₂²	semidirect
193. #405×C₆₇	C₂²	semidirect
194. #405×C₆₇	C₂²	semidirect
195. #405×C₆₇	C₂²	semidirect
196. #405×C₆₇	C₂²	semidirect
197. C₄×M₁₆×C₆₇	C₂²	semidirect
198. C₄×M₁₆×C₆₇	C₂²	semidirect
199. C₄×M₁₆×C₆₇	C₂²	semidirect
200. C₂×#97×C₆₇	C₂²	semidirect
201. C₂×#97×C₆₇	C₂²	semidirect
202. C₂×C₄×C₈×C₆₇	C₂²	semidirect
838. #60299	C₆₇	direct (N × H)
850. #2995	C₂×C₆₇	semidirect
851. #2995	C₂×C₆₇	semidirect
852. #2994	C₂×C₆₇	semidirect
853. #2993	C₂×C₆₇	semidirect
854. #2992	C₂×C₆₇	semidirect
855. #2992	C₂×C₆₇	semidirect
856. #2990	C₂×C₆₇	semidirect
857. #2989	C₂×C₆₇	semidirect
858. #2987	C₂×C₆₇	semidirect
859. #2985	C₂×C₆₇	semidirect
860. #2978	C₂×C₆₇	semidirect
861. #2977	C₂×C₆₇	semidirect
862. #2976	C₂×C₆₇	semidirect
863. #2976	C₂×C₆₇	semidirect
864. #2974	C₂×C₆₇	semidirect
865. #2973	C₂×C₆₇	semidirect
866. #2970	C₂×C₆₇	semidirect
867. #2969	C₂×C₆₇	semidirect
868. #2968	C₂×C₆₇	semidirect
869. #2968	C₂×C₆₇	semidirect
870. #2967	C₂×C₆₇	semidirect
871. #2967	C₂×C₆₇	semidirect
872. #2966	C₂×C₆₇	semidirect
873. #2965	C₂×C₆₇	semidirect
874. #2925	C₂×C₆₇	semidirect
875. #2924	C₂×C₆₇	semidirect
876. #2924	C₂×C₆₇	semidirect
877. #2923	C₂×C₆₇	semidirect
878. #2921	C₂×C₆₇	semidirect
879. C₂×#433	C₂×C₆₇	semidirect
880. C₆₇	#60299	direct (N × H)
912. #446	C₂²×C₆₇	semidirect
913. #446	C₂²×C₆₇	semidirect
914. #446	C₂²×C₆₇	semidirect
915. #446	C₂²×C₆₇	semidirect
916. #446	C₂²×C₆₇	semidirect
917. #446	C₂²×C₆₇	semidirect
918. #446	C₂²×C₆₇	semidirect
919. #446	C₂²×C₆₇	semidirect
920. #446	C₂²×C₆₇	semidirect
921. #446	C₂²×C₆₇	semidirect
922. #446	C₂²×C₆₇	semidirect
923. #446	C₂²×C₆₇	semidirect
924. #446	C₂²×C₆₇	semidirect
925. #446	C₂²×C₆₇	semidirect
926. C₈×Q₈	C₂²×C₆₇	semidirect
927. C₈×Q₈	C₂²×C₆₇	semidirect
930. #436	C₂²×C₆₇	semidirect
931. #436	C₂²×C₆₇	semidirect
932. #436	C₂²×C₆₇	semidirect
933. #436	C₂²×C₆₇	semidirect
934. #436	C₂²×C₆₇	semidirect
935. #436	C₂²×C₆₇	semidirect
936. #436	C₂²×C₆₇	semidirect
937. #436	C₂²×C₆₇	semidirect
950. #435	C₂²×C₆₇	semidirect
951. #435	C₂²×C₆₇	semidirect
952. #435	C₂²×C₆₇	semidirect
953. #435	C₂²×C₆₇	semidirect
954. #435	C₂²×C₆₇	semidirect
955. #435	C₂²×C₆₇	semidirect
956. #435	C₂²×C₆₇	semidirect
957. #435	C₂²×C₆₇	semidirect
958. #435	C₂²×C₆₇	semidirect
959. #435	C₂²×C₆₇	semidirect
960. #435	C₂²×C₆₇	semidirect
961. #435	C₂²×C₆₇	semidirect
962. #435	C₂²×C₆₇	semidirect
963. #435	C₂²×C₆₇	semidirect
964. #435	C₂²×C₆₇	semidirect
965. #435	C₂²×C₆₇	semidirect
968. C₈×D₄	C₂²×C₆₇	semidirect
969. C₈×D₄	C₂²×C₆₇	semidirect
970. C₈×D₄	C₂²×C₆₇	semidirect
971. C₈×D₄	C₂²×C₆₇	semidirect
972. C₈×D₄	C₂²×C₆₇	semidirect
973. C₈×D₄	C₂²×C₆₇	semidirect
974. C₈×D₄	C₂²×C₆₇	semidirect
975. C₈×D₄	C₂²×C₆₇	semidirect
988. #433	C₂²×C₆₇	semidirect
989. #433	C₂²×C₆₇	semidirect
990. #433	C₂²×C₆₇	semidirect
991. #433	C₂²×C₆₇	semidirect
992. #433	C₂²×C₆₇	semidirect
993. #433	C₂²×C₆₇	semidirect
994. #433	C₂²×C₆₇	semidirect
995. #433	C₂²×C₆₇	semidirect
996. #433	C₂²×C₆₇	semidirect
997. #433	C₂²×C₆₇	semidirect
998. #433	C₂²×C₆₇	semidirect
999. #433	C₂²×C₆₇	semidirect
1003. #432	C₂²×C₆₇	semidirect
1004. #432	C₂²×C₆₇	semidirect
1005. #432	C₂²×C₆₇	semidirect
1006. #432	C₂²×C₆₇	semidirect
1007. #432	C₂²×C₆₇	semidirect
1008. #432	C₂²×C₆₇	semidirect
1009. #432	C₂²×C₆₇	semidirect
1011. #431	C₂²×C₆₇	semidirect
1012. #431	C₂²×C₆₇	semidirect
1013. #431	C₂²×C₆₇	semidirect
1014. #431	C₂²×C₆₇	semidirect
1015. #431	C₂²×C₆₇	semidirect
1016. #424	C₂²×C₆₇	semidirect
1017. #424	C₂²×C₆₇	semidirect
1018. #424	C₂²×C₆₇	semidirect
1019. #424	C₂²×C₆₇	semidirect
1020. #424	C₂²×C₆₇	semidirect
1021. #424	C₂²×C₆₇	semidirect
1022. #423	C₂²×C₆₇	semidirect
1023. #423	C₂²×C₆₇	semidirect
1024. #423	C₂²×C₆₇	semidirect
1025. C₂×C₄⋊C₈	C₂²×C₆₇	semidirect
1026. C₂×C₄⋊C₈	C₂²×C₆₇	semidirect
1027. C₂×C₄⋊C₈	C₂²×C₆₇	semidirect
1040. #405	C₂²×C₆₇	semidirect
1041. #405	C₂²×C₆₇	semidirect
1042. #405	C₂²×C₆₇	semidirect
1043. #405	C₂²×C₆₇	semidirect
1044. #405	C₂²×C₆₇	semidirect
1045. #405	C₂²×C₆₇	semidirect
1046. C₄×M₁₆	C₂²×C₆₇	semidirect
1047. C₄×M₁₆	C₂²×C₆₇	semidirect
1048. C₄×M₁₆	C₂²×C₆₇	semidirect
1049. C₂×#97	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×#3475	2
C₆₇×#2995	2
C₆₇×#2994	2
C₆₇×#2993	2
C₆₇×#2992	2
C₆₇×#2990	2
C₆₇×#2989	2
C₆₇×#2987	2
C₆₇×#2985	2
C₆₇×#2978	2
C₆₇×#2977	2
C₆₇×#2976	2
C₆₇×#2974	2
C₆₇×#2973	2
C₆₇×#2970	2
C₆₇×#2969	2
C₆₇×#2968	2
C₆₇×#2967	2
C₆₇×#2966	2
C₆₇×#2965	2
C₆₇×#2925	2
C₆₇×#2924	2
C₆₇×#2923	2
C₆₇×#2921	2
C₂×#433×C₆₇	2
#60299	67

Subgroups — C67×#60299 #30739550

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#60299 #30739550