Subgroups — #31720626

Order 17152.

2242 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#16863905	C₂	1	1	yes	maximal, characteristic
2	#22569268	C₂	1	2	yes	maximal, complemented
3	#22569266	C₂	1	2	yes	maximal, complemented
4	#22569262	C₂	1	2	yes	maximal, complemented
5	#22569260	C₂	1	2	yes	maximal, complemented
6	#22569258	C₂	1	2	yes	maximal, complemented
7	#22569256	C₂	1	2	yes	maximal, complemented
8	#22569253	C₂	1	2	yes	maximal, complemented
9	#22569251	C₂	1	2	yes	maximal, complemented
10	M₁₆×D₂₆₈	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#11761612	C₂	1	1	yes	maximal, characteristic, complemented
12	#22568944	C₂	1	1	yes	maximal, characteristic, complemented
13	M₁₆×C₂²⋊D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
14	M₁₆×C₂²⋊D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
15	#22568941	C₂	1	1	yes	maximal, characteristic, complemented
16	#22568941	C₂	1	1	yes	maximal, characteristic, complemented
17	#22568846	C₂	1	1	yes	maximal, characteristic, complemented
18	#22568845	C₂	1	1	yes	maximal, characteristic, complemented
19	#22568653	C₂	1	1	yes	maximal, characteristic, complemented
20	#22568652	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16863359	C₂	1	1	yes	maximal, characteristic, complemented
22	#407×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×M₁₆×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#11761628	C₂²	1	1	yes	characteristic
25	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
26	C₂²×#11761612	C₂²	1	1	yes	characteristic
27	C₂²×#11761612	C₂²	1	1	yes	characteristic, complemented
28	C₂×M₁₆×D₆₇	C₂²	1	1	yes	characteristic
29	C₂×M₁₆×D₆₇	C₂²	1	1	yes	characteristic
30	C₂×M₁₆×D₆₇	C₂²	1	1	yes	characteristic, complemented
31	C₂×M₁₆×D₆₇	C₂²	1	1	yes	characteristic, complemented
32	#16863905	C₄	1	1	yes	characteristic
33	#16863905	C₄	1	1	yes	characteristic
34	#16863905	C₄	1	1	yes	characteristic
35	#16863905	C₄	1	1	yes	characteristic
36	#16863905	C₄	1	1	yes	characteristic
37	#16863905	C₄	1	1	yes	characteristic
38	#16863905	C₄	1	1	yes	characteristic
39	#16863905	C₄	1	1	yes	characteristic
40	#16863905	C₂²	1	1	yes	characteristic
41	#16863905	C₂²	1	1	yes	characteristic
42	#16863905	C₂²	1	1	yes	characteristic
43	#16863905	C₂²	1	1	yes	characteristic
44	#16863905	C₂²	1	1	yes	characteristic
45	#16863905	C₂²	1	1	yes	characteristic
46	#16863905	C₂²	1	1	yes	characteristic
47	#16863905	C₂²	1	1	yes	characteristic
48	C₂×#14524028	C₄	1	1	yes	characteristic
49	C₂×#14524025	C₄	1	1	yes	characteristic
50	C₂×#14524021	C₄	1	1	yes	characteristic
51	C₂×#14524020	C₄	1	1	yes	characteristic
52	C₂×#14524016	C₄	1	1	yes	characteristic
53	C₂×#14524015	C₄	1	1	yes	characteristic
54	C₂×#14524013	C₄	1	1	yes	characteristic
55	C₂×#14524011	C₄	1	1	yes	characteristic
56	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
57	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
58	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
59	C₂×#14524000	C₂²	1	1	yes	characteristic
60	#16863475	C₂²	1	2	yes	complemented
61	#16863474	C₂²	1	2	yes	complemented
62	#16863473	C₂²	1	2	yes	complemented
63	#16863472	C₂²	1	2	yes	complemented
64	#16863472	C₂²	1	2	yes	complemented
65	#16863471	C₂²	1	2	yes	complemented
66	#16863471	C₂²	1	2	yes	complemented
67	#16863470	C₂²	1	2	yes	complemented
68	#16863470	C₂²	1	2	yes	complemented
69	#16863469	C₂²	1	2	yes	complemented
70	#16863469	C₂²	1	2	yes	complemented
71	#16863468	C₂²	1	2	yes	complemented
72	#16863468	C₂²	1	2	yes	complemented
73	#16863467	C₂²	1	2	yes	complemented
74	#16863467	C₂²	1	2	yes	complemented
75	#16863466	C₂²	1	2	yes	complemented
76	#16863466	C₂²	1	2	yes	complemented
77	#16863465	C₂²	1	2	yes	complemented
78	#16863465	C₂²	1	2	yes	complemented
79	#16863464	C₂²	1	2	yes	complemented
80	#16863464	C₂²	1	2	yes	complemented
81	C₈×D₂₆₈	C₂²	1	2	yes	complemented
82	D₄×C₆₇⋊C₈	C₂²	1	2	yes	complemented
83	#16863461	C₂²	1	2	yes	complemented
84	C₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
85	C₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
86	(C₂²⋊D₆₇)⋊C₈	C₂²	1	2	yes	complemented
87	(C₂²⋊D₆₇)⋊C₈	C₂²	1	2	yes	complemented
88	#16863458	C₂²	1	2	yes	complemented
89	#16863458	C₂²	1	2	yes	complemented
90	#16863456	C₂²	1	2	yes	complemented
91	#16863456	C₂²	1	2	yes	complemented
92	#16863456	C₂²	1	2	yes	complemented
93	#16863456	C₂²	1	2	yes	complemented
94	#16863455	C₂²	1	2	yes	complemented
95	#16863455	C₂²	1	2	yes	complemented
96	#16863420	C₂²	1	1	yes	characteristic, complemented
97	#16863419	C₂²	1	1	yes	characteristic, complemented
98	#16863419	C₂²	1	1	yes	characteristic, complemented
99	#16863364	C₂²	1	2	yes	complemented
100	#16863364	C₂²	1	2	yes	complemented
101	#16863362	C₂²	1	2	yes	complemented
102	#16863362	C₂²	1	2	yes	complemented
103	#16863361	C₂²	1	2	yes	complemented
104	#16863361	C₂²	1	2	yes	complemented
105	#16863361	C₂²	1	2	yes	complemented
106	#16863361	C₂²	1	2	yes	complemented
107	#16863360	C₂²	1	1	yes	characteristic
108	#16863360	C₂²	1	1	yes	characteristic, complemented
109	#16863359	C₂²	1	1	yes	characteristic
110	#16863359	C₂²	1	1	yes	characteristic
111	#16863359	C₂²	1	1	yes	characteristic
112	#16863359	C₂²	1	1	yes	characteristic
113	#16863359	C₂²	1	1	yes	characteristic
114	#16863359	C₂²	1	1	yes	characteristic
115	#16863359	C₂²	1	2	yes	complemented
116	#16863359	C₂²	1	2	yes	complemented
117	#16863359	C₂²	1	1	yes	characteristic, complemented
118	#16863359	C₂²	1	1	yes	characteristic, complemented
119	#16863358	C₂²	1	2	yes	complemented
120	#16863358	C₂²	1	2	yes	complemented
121	C₂×(C₂×D₆₇)⋊C₈	C₂²	1	2	yes	complemented
122	C₂×(C₂×D₆₇)⋊C₈	C₂²	1	2	yes	complemented
123	C₂²⋊C₈×D₆₇	C₂²	1	2	yes	complemented
124	C₂²⋊C₈×D₆₇	C₂²	1	2	yes	complemented
125	C₄×#11761612	C₂²	1	1	yes	characteristic, complemented
126	M₁₆×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
127	M₁₆×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
128	C₂²×M₁₆×C₆₇	C₂²	1	1	yes	characteristic
129	C₂²×M₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
131	#436×C₆₇	C₂²	1	2	yes	complemented
132	#435×C₆₇	C₂²	1	2	yes	complemented
133	#435×C₆₇	C₂²	1	2	yes	complemented
134	C₈×D₄×C₆₇	C₂²	1	2	yes	complemented
135	#423×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#407×C₆₇	C₂²	1	1	yes	characteristic
137	#407×C₆₇	C₂²	1	1	yes	characteristic, complemented
138	C₄×M₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₆₇	C₂×C₄	1	1	yes	characteristic
140	C₂×#11761628	—	4	2	no	—
141	C₂×#11761628	—	4	2	no	—
142	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
143	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
144	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
145	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
146	C₂×#11761628	C₂³	1	1	yes	characteristic
147	C₂×#11761628	C₂³	1	1	yes	characteristic
148	C₂×#11761628	C₂³	1	1	yes	characteristic
149	C₂×#11761628	C₂³	1	1	yes	characteristic
150	C₂²×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
151	C₂²×D₂₆₈	C₂×C₄	1	1	yes	characteristic
152	C₂²×D₂₆₈	C₂×C₄	1	1	yes	characteristic
153	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
154	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
155	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
156	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
157	C₂³×Dic₆₇	C₂×C₄	1	1	yes	characteristic
158	C₂²×C₄×D₆₇	—	4	2	no	—
159	C₂²×C₄×D₆₇	—	4	2	no	—
160	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
161	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
162	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
163	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
164	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
165	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
166	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
173	C₂×#11761612	—	4	2	no	—
174	C₂×#11761612	—	4	2	no	—
175	C₂×#11761612	C₂³	1	1	yes	characteristic
176	C₂×#11761612	C₂³	1	1	yes	characteristic
177	C₂×#11761612	C₂³	1	1	yes	characteristic
178	C₂×#11761612	C₂³	1	1	yes	characteristic
179	C₂×#11761612	C₂³	1	2	yes	—
180	C₂×#11761612	C₂³	1	2	yes	complemented
181	C₂×#11761611	C₂³	1	2	yes	—
182	C₂×#11761611	C₂³	1	2	yes	—
183	C₂×#11761611	C₂³	1	2	yes	complemented
184	C₂×#11761611	C₂³	1	2	yes	complemented
185	M₁₆×D₆₇	—	4	2	no	—
186	M₁₆×D₆₇	—	4	2	no	—
187	M₁₆×D₆₇	—	4	2	no	—
188	M₁₆×D₆₇	—	4	2	no	—
189	C₂²×C₆₇⋊C₈	C₂³	1	2	yes	—
190	C₂²×C₆₇⋊C₈	C₂³	1	2	yes	complemented
191	C₂×C₈×D₆₇	C₂³	1	2	yes	—
192	C₂×C₈×D₆₇	C₂³	1	2	yes	—
193	C₂×C₈×D₆₇	C₂³	1	2	yes	complemented
194	C₂×C₈×D₆₇	C₂³	1	2	yes	complemented
195	#14524028	C₂×C₄	1	1	yes	characteristic
196	#14524028	C₂×C₄	1	1	yes	characteristic
197	#14524028	C₂×C₄	1	1	yes	characteristic
198	#14524028	C₂×C₄	1	1	yes	characteristic
199	#14524028	C₂×C₄	1	1	yes	characteristic
200	#14524028	C₂×C₄	1	1	yes	characteristic
201	#14524028	C₂×C₄	1	1	yes	characteristic
202	#14524028	C₂×C₄	1	1	yes	characteristic
203	#14524025	C₂×C₄	1	1	yes	characteristic
204	#14524025	C₂×C₄	1	1	yes	characteristic
205	#14524025	C₂×C₄	1	1	yes	characteristic
206	#14524025	C₂×C₄	1	1	yes	characteristic
207	#14524025	C₂×C₄	1	1	yes	characteristic
208	#14524025	C₂×C₄	1	1	yes	characteristic
209	#14524025	C₂×C₄	1	1	yes	characteristic
210	#14524025	C₂×C₄	1	1	yes	characteristic
211	#14524021	C₂×C₄	1	1	yes	characteristic
212	#14524021	C₂×C₄	1	1	yes	characteristic
213	#14524021	C₂×C₄	1	1	yes	characteristic
214	#14524021	C₂×C₄	1	1	yes	characteristic
215	#14524021	C₂×C₄	1	1	yes	characteristic
216	#14524021	C₂×C₄	1	1	yes	characteristic
217	#14524021	C₂×C₄	1	1	yes	characteristic
218	#14524021	C₂×C₄	1	1	yes	characteristic
219	#14524020	C₂×C₄	1	1	yes	characteristic
220	#14524020	C₂×C₄	1	1	yes	characteristic
221	#14524020	C₂×C₄	1	1	yes	characteristic
222	#14524020	C₂×C₄	1	1	yes	characteristic
223	#14524020	C₂×C₄	1	1	yes	characteristic
224	#14524020	C₂×C₄	1	1	yes	characteristic
225	#14524020	C₂×C₄	1	1	yes	characteristic
226	#14524020	C₂×C₄	1	1	yes	characteristic
227	#14524016	C₂×C₄	1	1	yes	characteristic
228	#14524016	C₂×C₄	1	1	yes	characteristic
229	#14524016	C₂×C₄	1	1	yes	characteristic
230	#14524016	C₂×C₄	1	1	yes	characteristic
231	#14524016	C₂×C₄	1	1	yes	characteristic
232	#14524016	C₂×C₄	1	1	yes	characteristic
233	#14524016	C₂×C₄	1	1	yes	characteristic
234	#14524016	C₂×C₄	1	1	yes	characteristic
235	#14524015	C₂×C₄	1	1	yes	characteristic
236	#14524015	C₂×C₄	1	1	yes	characteristic
237	#14524015	C₂×C₄	1	1	yes	characteristic
238	#14524015	C₂×C₄	1	1	yes	characteristic
239	#14524015	C₂×C₄	1	1	yes	characteristic
240	#14524015	C₂×C₄	1	1	yes	characteristic
241	#14524015	C₂×C₄	1	1	yes	characteristic
242	#14524015	C₂×C₄	1	1	yes	characteristic
243	#14524013	C₂×C₄	1	1	yes	characteristic
244	#14524013	C₂×C₄	1	1	yes	characteristic
245	#14524013	C₂×C₄	1	1	yes	characteristic
246	#14524013	C₂×C₄	1	1	yes	characteristic
247	#14524013	C₂×C₄	1	1	yes	characteristic
248	#14524013	C₂×C₄	1	1	yes	characteristic
249	#14524013	C₂×C₄	1	1	yes	characteristic
250	#14524013	C₂×C₄	1	1	yes	characteristic
251	#14524011	C₂×C₄	1	1	yes	characteristic
252	#14524011	C₂×C₄	1	1	yes	characteristic
253	#14524011	C₂×C₄	1	1	yes	characteristic
254	#14524011	C₂×C₄	1	1	yes	characteristic
255	#14524011	C₂×C₄	1	1	yes	characteristic
256	#14524011	C₂×C₄	1	1	yes	characteristic
257	#14524011	C₂×C₄	1	1	yes	characteristic
258	#14524011	C₂×C₄	1	1	yes	characteristic
259	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
260	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
261	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
262	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
263	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
264	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
265	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
266	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
267	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
268	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
269	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
270	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
271	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
272	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
273	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
274	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
275	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
277	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
278	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
279	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
280	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
281	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
282	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
283	#14524000	C₂×C₄	1	1	yes	characteristic
284	#14524000	C₂×C₄	1	1	yes	characteristic
285	#14524000	C₂×C₄	1	1	yes	characteristic
286	#14524000	C₂×C₄	1	1	yes	characteristic
287	#14524000	C₂³	1	1	yes	characteristic
288	#14524000	C₂³	1	1	yes	characteristic
289	#14524000	C₂³	1	1	yes	characteristic
290	#14524000	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
292	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
293	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
294	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
295	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₂×C₂²⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
298	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
299	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
300	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
301	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
302	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
303	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
304	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
305	C₄⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
306	C₄⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
307	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
308	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
309	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
310	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
311	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	—
312	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	—
313	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
314	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
315	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
316	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
317	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
318	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
319	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
320	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
321	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
322	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
323	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
324	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
325	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
326	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
327	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
328	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
329	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
330	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
331	#14523954	C₂³	1	2	yes	complemented
332	#14523953	C₂³	1	2	yes	complemented
333	#14523953	C₂³	1	2	yes	complemented
334	C₄×C₆₇⋊C₈	C₂³	1	2	yes	complemented
335	C₈×Dic₆₇	C₂³	1	2	yes	complemented
336	C₈×Dic₆₇	C₂³	1	2	yes	complemented
337	C₂²×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
338	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
340	C₂×M₁₆×C₆₇	—	4	2	no	—
341	C₂×M₁₆×C₆₇	—	4	2	no	—
342	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
343	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
344	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
345	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
346	C₂×M₁₆×C₆₇	C₂³	1	2	yes	—
347	C₂×M₁₆×C₆₇	C₂³	1	2	yes	complemented
348	C₂²×C₈×C₆₇	C₂³	1	2	yes	—
349	C₂²×C₈×C₆₇	C₂³	1	2	yes	complemented
350	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
351	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
352	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
353	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
354	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
361	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
362	C₄⋊C₈×C₆₇	C₂³	1	2	yes	complemented
363	C₄⋊C₈×C₆₇	C₂³	1	2	yes	complemented
364	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
365	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
366	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	complemented
367	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	complemented
368	#97×C₆₇	C₂³	1	2	yes	complemented
369	C₄×C₈×C₆₇	C₂³	1	2	yes	complemented
370	C₂³×D₆₇	—	4	2	no	—
371	C₂³×D₆₇	—	4	2	no	—
372	C₂³×D₆₇	—	4	2	no	—
373	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
374	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
375	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
376	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
377	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
378	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
379	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
380	#11761628	—	4	2	no	—
381	#11761628	—	4	2	no	—
382	#11761628	—	4	2	no	—
383	#11761628	—	4	2	no	—
384	#11761628	—	4	1	no	—
385	#11761628	—	4	1	no	—
386	#11761628	—	4	1	no	—
387	#11761628	—	4	1	no	—
388	#11761628	—	4	1	no	—
389	#11761628	—	4	1	no	—
390	#11761628	—	4	1	no	—
391	#11761628	—	4	1	no	—
392	C₂×Dic₁₃₄	—	4	2	no	—
393	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
394	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
395	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
396	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
397	C₂×D₂₆₈	—	4	2	no	—
398	C₂×D₂₆₈	—	4	2	no	—
399	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
400	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
401	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
402	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
403	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
404	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
405	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
406	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₂²⋊D₆₇	—	4	2	no	—
408	C₂×C₂²⋊D₆₇	—	4	2	no	—
409	C₂×C₂²⋊D₆₇	—	4	2	no	—
410	C₂×C₂²⋊D₆₇	—	4	2	no	—
411	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
422	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
423	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
424	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
425	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
426	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
427	C₂²×Dic₆₇	—	4	2	no	—
428	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
429	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
430	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
431	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
432	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
433	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
434	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
435	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
436	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
437	C₂×C₄×D₆₇	—	2	2	no	—
438	C₂×C₄×D₆₇	—	2	2	no	—
439	C₂×C₄×D₆₇	—	2	2	no	—
440	C₂×C₄×D₆₇	—	2	2	no	—
441	C₂×C₄×D₆₇	—	2	2	no	—
442	C₂×C₄×D₆₇	—	2	2	no	—
443	C₂×C₄×D₆₇	—	4	2	no	—
444	C₂×C₄×D₆₇	—	4	2	no	—
445	C₂×C₄×D₆₇	—	4	2	no	—
446	C₂×C₄×D₆₇	—	4	2	no	—
447	C₂×C₄×D₆₇	—	4	1	no	—
448	C₂×C₄×D₆₇	—	4	1	no	—
449	C₂×C₄×D₆₇	—	4	1	no	—
450	C₂×C₄×D₆₇	—	4	1	no	—
451	C₂×C₄×D₆₇	—	4	1	no	—
452	C₂×C₄×D₆₇	—	4	1	no	—
453	C₂×C₄×D₆₇	—	4	1	no	—
454	C₂×C₄×D₆₇	—	4	1	no	—
455	C₂×C₄×D₆₇	—	4	2	no	—
456	C₂×C₄×D₆₇	—	4	2	no	—
457	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
458	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
459	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
460	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
461	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
462	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
463	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
464	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
465	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
466	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
467	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
468	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
469	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
470	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
471	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
472	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
473	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
474	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
475	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
476	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
477	#11761612	—	2	2	no	—
478	#11761612	—	2	2	no	—
479	#11761612	—	2	2	no	—
480	#11761612	—	2	2	no	—
481	#11761612	—	4	2	no	—
482	#11761612	—	4	2	no	—
483	#11761611	—	4	2	no	—
484	#11761611	—	4	2	no	—
485	#11761611	—	4	2	no	—
486	#11761611	—	4	2	no	—
487	C₂×C₆₇⋊C₈	—	4	2	no	—
488	C₂×C₆₇⋊C₈	—	4	2	no	—
489	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
490	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
491	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
492	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
493	C₈×D₆₇	—	4	2	no	—
494	C₈×D₆₇	—	4	2	no	—
495	C₈×D₆₇	—	4	2	no	—
496	C₈×D₆₇	—	4	2	no	—
497	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
498	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
499	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
500	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
501	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
502	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
503	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
504	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
505	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
506	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
507	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
508	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
509	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
510	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
511	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
512	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
513	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
514	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
515	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
516	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
517	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
518	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
519	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
520	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
521	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
522	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
523	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
524	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
525	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
539	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
540	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
541	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
542	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
543	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
544	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
545	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
546	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
550	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
551	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
552	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₆₇	C₂²×C₄	1	1	yes	characteristic
554	C₂⁴×C₆₇	C₂²×C₄	1	1	yes	characteristic
555	C₂×D₄×C₆₇	—	4	2	no	—
556	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
557	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
558	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
559	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
560	C₂²×C₄×C₆₇	—	2	2	no	—
561	C₂²×C₄×C₆₇	—	2	2	no	—
562	C₂²×C₄×C₆₇	—	2	2	no	—
563	C₂²×C₄×C₆₇	—	2	2	no	—
564	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
565	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
566	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
567	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
568	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
569	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
570	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
571	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
572	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
577	M₁₆×C₆₇	—	2	2	no	—
578	M₁₆×C₆₇	—	2	2	no	—
579	M₁₆×C₆₇	—	2	2	no	—
580	M₁₆×C₆₇	—	2	2	no	—
581	M₁₆×C₆₇	—	4	2	no	—
582	M₁₆×C₆₇	—	4	2	no	—
583	C₂×C₈×C₆₇	—	4	2	no	—
584	C₂×C₈×C₆₇	—	4	2	no	—
585	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
586	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
587	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
588	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
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	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
594	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
595	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
596	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
597	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
598	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
599	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
600	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
601	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
602	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
603	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
604	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
605	C₂³×C₆₇	—	2	2	no	—
606	C₂³×C₆₇	—	2	2	no	—
607	C₂³×C₆₇	—	2	2	no	—
608	C₂³×C₆₇	—	4	1	no	—
609	C₂³×C₆₇	—	4	1	no	—
610	C₂³×C₆₇	—	4	1	no	—
611	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
612	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
613	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
614	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
615	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
616	C₂²×D₆₇	—	2	2	no	—
617	C₂²×D₆₇	—	2	2	no	—
618	C₂²×D₆₇	—	2	2	no	—
619	C₂²×D₆₇	—	2	2	no	—
620	C₂²×D₆₇	—	2	2	no	—
621	C₂²×D₆₇	—	2	2	no	—
622	C₂²×D₆₇	—	2	2	no	—
623	C₂²×D₆₇	—	2	2	no	—
624	C₂²×D₆₇	—	4	1	no	—
625	C₂²×D₆₇	—	4	1	no	—
626	C₂²×D₆₇	—	4	1	no	—
627	C₂²×D₆₇	—	4	1	no	—
628	C₂²×D₆₇	—	4	1	no	—
629	C₂²×D₆₇	—	4	1	no	—
630	C₂²×D₆₇	—	4	1	no	—
631	C₂²×D₆₇	—	4	1	no	—
632	C₂²×D₆₇	—	4	1	no	—
633	C₂²×D₆₇	—	4	1	no	—
634	C₂²×D₆₇	—	4	1	no	—
635	C₂²×D₆₇	—	4	1	no	—
636	C₂²×D₆₇	—	4	1	no	—
637	C₂²×D₆₇	—	4	16	no	—
638	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
639	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
640	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
641	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
642	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
643	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
644	D₄×C₆₇	—	2	2	no	—
645	D₄×C₆₇	—	2	2	no	—
646	D₄×C₆₇	—	4	1	no	—
647	D₄×C₆₇	—	4	1	no	—
648	C₂×C₄×C₆₇	—	2	2	no	—
649	C₂×C₄×C₆₇	—	2	2	no	—
650	C₂×C₄×C₆₇	—	2	2	no	—
651	C₂×C₄×C₆₇	—	2	2	no	—
652	C₂×C₄×C₆₇	—	2	2	no	—
653	C₂×C₄×C₆₇	—	2	2	no	—
654	C₂×C₄×C₆₇	—	2	1	no	—
655	C₂×C₄×C₆₇	—	2	1	no	—
656	C₂×C₄×C₆₇	—	2	1	no	—
657	C₂×C₄×C₆₇	—	2	1	no	—
658	C₂×C₄×C₆₇	—	2	1	no	—
659	C₂×C₄×C₆₇	—	2	1	no	—
660	C₂×C₄×C₆₇	—	2	1	no	—
661	C₂×C₄×C₆₇	—	2	1	no	—
662	C₂×C₄×C₆₇	—	4	1	no	—
663	C₂×C₄×C₆₇	—	4	1	no	—
664	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
665	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
666	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
667	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
668	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
669	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
670	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
671	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
672	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
673	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
674	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
675	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
676	C₂²⋊D₆₇	—	2	2	no	—
677	C₂²⋊D₆₇	—	2	2	no	—
678	C₂²⋊D₆₇	—	2	2	no	—
679	C₂²⋊D₆₇	—	2	2	no	—
680	C₂²⋊D₆₇	—	4	1	no	—
681	C₂²⋊D₆₇	—	4	1	no	—
682	C₂²⋊D₆₇	—	4	1	no	—
683	C₂²⋊D₆₇	—	4	1	no	—
684	C₂²⋊D₆₇	—	4	1	no	—
685	C₂²⋊D₆₇	—	4	1	no	—
686	C₂²⋊D₆₇	—	4	1	no	—
687	C₂²⋊D₆₇	—	4	1	no	—
688	C₂²⋊D₆₇	—	4	1	no	—
689	C₂²⋊D₆₇	—	4	1	no	—
690	C₂²⋊D₆₇	—	4	1	no	—
691	C₂²⋊D₆₇	—	4	1	no	—
692	C₂×Dic₆₇	—	2	2	no	—
693	C₂×Dic₆₇	—	2	2	no	—
694	C₂×Dic₆₇	—	2	2	no	—
695	C₂×Dic₆₇	—	4	1	no	—
696	C₂×Dic₆₇	—	4	1	no	—
697	C₂×Dic₆₇	—	4	1	no	—
698	C₂×Dic₆₇	—	4	1	no	—
699	C₂×Dic₆₇	—	4	1	no	—
700	C₂×Dic₆₇	—	4	1	no	—
701	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
702	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
703	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
704	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
705	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
706	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
707	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
708	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
709	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
710	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
711	D₂₆₈	—	2	2	no	—
712	D₂₆₈	—	2	2	no	—
713	D₂₆₈	—	4	1	no	—
714	D₂₆₈	—	4	1	no	—
715	D₂₆₈	—	4	1	no	—
716	D₂₆₈	—	4	1	no	—
717	D₂₆₈	—	4	1	no	—
718	D₂₆₈	—	4	1	no	—
719	C₄×D₆₇	—	2	2	no	—
720	C₄×D₆₇	—	2	2	no	—
721	C₄×D₆₇	—	2	2	no	—
722	C₄×D₆₇	—	2	2	no	—
723	C₄×D₆₇	—	2	2	no	—
724	C₄×D₆₇	—	2	2	no	—
725	C₄×D₆₇	—	2	1	no	—
726	C₄×D₆₇	—	2	1	no	—
727	C₄×D₆₇	—	2	1	no	—
728	C₄×D₆₇	—	2	1	no	—
729	C₄×D₆₇	—	2	1	no	—
730	C₄×D₆₇	—	2	1	no	—
731	C₄×D₆₇	—	2	1	no	—
732	C₄×D₆₇	—	2	1	no	—
733	C₄×D₆₇	—	2	1	no	—
734	C₄×D₆₇	—	2	1	no	—
735	C₄×D₆₇	—	2	1	no	—
736	C₄×D₆₇	—	2	1	no	—
737	C₄×D₆₇	—	4	1	no	—
738	C₄×D₆₇	—	4	1	no	—
739	C₄×D₆₇	—	4	1	no	—
740	C₄×D₆₇	—	4	1	no	—
741	C₄×D₆₇	—	4	1	no	—
742	C₄×D₆₇	—	4	1	no	—
743	C₄×D₆₇	—	4	1	no	—
744	C₄×D₆₇	—	4	1	no	—
745	Dic₁₃₄	—	4	1	no	—
746	Dic₁₃₄	—	4	1	no	—
747	Dic₁₃₄	—	4	1	no	—
748	Dic₁₃₄	—	4	1	no	—
749	C₈×C₆₇	—	2	2	no	—
750	C₈×C₆₇	—	2	2	no	—
751	C₈×C₆₇	—	2	2	no	—
752	C₈×C₆₇	—	2	2	no	—
753	C₆₇⋊C₈	—	2	2	no	—
754	C₆₇⋊C₈	—	2	2	no	—
755	C₆₇⋊C₈	—	2	2	no	—
756	C₆₇⋊C₈	—	2	2	no	—
757	C₂²×C₆₇	—	2	1	no	—
758	C₂²×C₆₇	—	2	1	no	—
759	C₂²×C₆₇	—	2	1	no	—
760	C₂²×C₆₇	—	2	1	no	—
761	C₂²×C₆₇	—	2	1	no	—
762	C₂²×C₆₇	—	2	1	no	—
763	C₂²×C₆₇	—	2	1	no	—
764	C₂²×C₆₇	—	2	1	no	—
765	C₂²×C₆₇	—	2	1	no	—
766	C₂²×C₆₇	—	2	1	no	—
767	C₂²×C₆₇	—	2	1	no	—
768	C₂²×C₆₇	—	2	1	no	—
769	C₂²×C₆₇	—	2	1	no	—
770	C₂²×C₆₇	—	4	4	no	—
771	C₂²×C₆₇	—	8	2	no	—
772	C₂²×C₆₇	#518	1	2	yes	—
773	C₂²×C₆₇	#568	1	2	yes	—
774	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
775	C₂×D₆₇	—	2	1	no	—
776	C₂×D₆₇	—	2	1	no	—
777	C₂×D₆₇	—	2	1	no	—
778	C₂×D₆₇	—	2	1	no	—
779	C₂×D₆₇	—	2	1	no	—
780	C₂×D₆₇	—	2	1	no	—
781	C₂×D₆₇	—	2	1	no	—
782	C₂×D₆₇	—	2	1	no	—
783	C₂×D₆₇	—	2	1	no	—
784	C₂×D₆₇	—	2	1	no	—
785	C₂×D₆₇	—	2	1	no	—
786	C₂×D₆₇	—	2	1	no	—
787	C₂×D₆₇	—	2	1	no	—
788	C₂×D₆₇	—	2	1	no	—
789	C₂×D₆₇	—	2	1	no	—
790	C₂×D₆₇	—	2	1	no	—
791	C₂×D₆₇	—	2	1	no	—
792	C₂×D₆₇	—	4	4	no	—
793	C₂×D₆₇	—	4	4	no	—
794	C₂×D₆₇	—	4	4	no	—
795	C₂×D₆₇	—	4	4	no	—
796	C₂×D₆₇	—	4	4	no	—
797	C₂×D₆₇	—	4	4	no	—
798	C₂×D₆₇	—	8	2	no	—
799	C₂×D₆₇	#568	1	2	yes	—
800	C₄×C₆₇	—	2	1	no	—
801	C₄×C₆₇	—	2	1	no	—
802	C₄×C₆₇	—	2	1	no	—
803	C₄×C₆₇	—	2	1	no	—
804	C₄×C₆₇	—	2	1	no	—
805	C₄×C₆₇	—	2	1	no	—
806	C₄×C₆₇	—	2	1	no	—
807	C₄×C₆₇	—	2	1	no	—
808	C₄×C₆₇	#518	1	2	yes	—
809	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
810	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
811	Dic₆₇	—	2	1	no	—
812	Dic₆₇	—	2	1	no	—
813	Dic₆₇	—	2	1	no	—
814	Dic₆₇	—	2	1	no	—
815	Dic₆₇	—	2	1	no	—
816	Dic₆₇	—	2	1	no	—
817	Dic₆₇	—	2	1	no	—
818	Dic₆₇	—	2	1	no	—
819	Dic₆₇	—	2	1	no	—
820	Dic₆₇	—	2	1	no	—
821	#60231	—	67	1	no	maximal, Sylow
822	C₂×C₆₇	—	2	2	no	—
823	C₂×C₆₇	—	2	2	no	—
824	C₂×C₆₇	—	4	1	no	—
825	C₂×C₆₇	—	4	1	no	—
826	C₂×C₆₇	—	4	1	no	—
827	C₂×C₆₇	C₂×#518	1	1	yes	characteristic
828	C₂×C₆₇	C₂×#568	1	1	yes	characteristic
829	C₂×C₆₇	C₂×#568	1	1	yes	characteristic
830	D₆₇	—	2	2	no	—
831	D₆₇	—	4	1	no	—
832	D₆₇	—	4	1	no	—
833	D₆₇	—	4	1	no	—
834	D₆₇	—	4	1	no	—
835	D₆₇	—	4	1	no	—
836	C₂×#525	—	67	1	no	—
837	#2978	—	67	2	no	—
838	#2978	—	67	2	no	—
839	#2977	—	67	2	no	—
840	#2977	—	67	2	no	—
841	#2976	—	67	2	no	—
842	#2976	—	67	2	no	—
843	#2976	—	67	2	no	—
844	#2976	—	67	2	no	—
845	D₄×M₁₆	—	67	1	no	—
846	D₄×M₁₆	—	67	1	no	—
847	D₄×M₁₆	—	67	1	no	—
848	D₄×M₁₆	—	67	1	no	—
849	D₄×M₁₆	—	67	1	no	—
850	D₄×M₁₆	—	67	1	no	—
851	D₄×M₁₆	—	67	1	no	—
852	D₄×M₁₆	D₆₇	1	1	yes	characteristic, complemented
853	#2921	—	67	1	no	—
854	#2921	—	67	1	no	—
855	#2879	—	67	1	no	—
856	#2879	—	67	1	no	—
857	C₂×#407	—	67	1	no	—
858	C₂×#407	—	67	1	no	—
859	C₆₇	#60231	1	1	yes	characteristic, complemented, Sylow
860	C₂²×#41	—	67	1	no	—
861	C₂⁴×C₄	—	67	1	no	—
862	C₂²×M₁₆	—	67	1	no	—
863	C₂²×M₁₆	—	67	1	no	—
864	C₂²×M₁₆	—	67	1	no	—
865	C₂²×M₁₆	—	67	1	no	—
866	C₂²×M₁₆	—	67	1	no	—
867	C₂²×M₁₆	—	67	1	no	—
868	C₂²×M₁₆	C₂×D₆₇	1	1	yes	characteristic
869	C₂²×M₁₆	C₂×D₆₇	1	1	yes	characteristic, complemented
870	#525	—	67	1	no	—
871	#525	—	67	1	no	—
872	#525	—	67	1	no	—
873	#525	—	67	1	no	—
874	#525	—	67	1	no	—
875	#525	—	67	1	no	—
876	#525	—	67	1	no	—
877	#525	—	67	1	no	—
878	#525	—	67	1	no	—
879	#525	—	67	1	no	—
880	#525	—	67	1	no	—
881	#525	—	67	1	no	—
882	#525	—	67	1	no	—
883	#525	—	67	1	no	—
884	#525	—	67	1	no	—
885	#525	—	67	1	no	—
886	C₂×#123	—	67	1	no	—
887	C₂×#123	—	67	1	no	—
888	C₂×C₂²⋊Q₈	—	67	1	no	—
889	C₂×C₂²⋊Q₈	—	67	1	no	—
890	C₂×#121	—	67	1	no	—
891	C₂×#121	—	67	1	no	—
892	C₂×#120	—	67	1	no	—
893	C₂×#120	—	67	1	no	—
894	C₂×C₄×D₄	—	67	1	no	—
895	C₂×C₄×D₄	—	67	1	no	—
896	C₂×C₄×D₄	—	67	1	no	—
897	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
898	C₂×#117	—	67	1	no	—
899	#436	—	67	2	no	—
900	#436	—	67	2	no	—
901	#436	—	67	2	no	—
902	#436	—	67	2	no	—
903	#436	—	67	2	no	—
904	#436	—	67	2	no	—
905	#436	—	67	2	no	—
906	#436	C₂×D₆₇	1	2	yes	complemented
907	#435	—	67	2	no	—
908	#435	—	67	2	no	—
909	#435	—	67	2	no	—
910	#435	—	67	2	no	—
911	#435	—	67	2	no	—
912	#435	—	67	2	no	—
913	#435	—	67	2	no	—
914	#435	—	67	2	no	—
915	#435	—	67	2	no	—
916	#435	—	67	2	no	—
917	#435	—	67	2	no	—
918	#435	—	67	2	no	—
919	#435	—	67	2	no	—
920	#435	—	67	2	no	—
921	#435	C₂×D₆₇	1	2	yes	complemented
922	#435	C₂×D₆₇	1	2	yes	complemented
923	C₈×D₄	—	67	2	no	—
924	C₈×D₄	—	67	2	no	—
925	C₈×D₄	—	67	2	no	—
926	C₈×D₄	—	67	2	no	—
927	C₈×D₄	—	67	2	no	—
928	C₈×D₄	—	67	2	no	—
929	C₈×D₄	—	67	2	no	—
930	C₈×D₄	C₂×D₆₇	1	2	yes	complemented
931	#433	—	67	2	no	—
932	#433	—	67	2	no	—
933	#433	—	67	2	no	—
934	#433	—	67	2	no	—
935	#433	—	67	2	no	—
936	#433	—	67	2	no	—
937	#433	—	67	2	no	—
938	#433	—	67	2	no	—
939	#423	—	67	1	no	—
940	#423	—	67	1	no	—
941	#423	—	67	1	no	—
942	#423	C₂×D₆₇	1	1	yes	characteristic, complemented
943	#408	—	67	2	no	—
944	#408	—	67	2	no	—
945	#408	—	67	2	no	—
946	#408	—	67	2	no	—
947	#408	—	67	2	no	—
948	#408	—	67	2	no	—
949	#408	—	67	2	no	—
950	#408	—	67	2	no	—
951	#407	—	67	1	no	—
952	#407	—	67	1	no	—
953	#407	—	67	1	no	—
954	#407	—	67	1	no	—
955	#407	—	67	1	no	—
956	#407	—	67	1	no	—
957	#407	—	67	1	no	—
958	#407	—	67	1	no	—
959	#407	—	67	2	no	—
960	#407	—	67	2	no	—
961	#407	—	67	1	no	—
962	#407	—	67	1	no	—
963	#407	—	67	2	no	—
964	#407	—	67	2	no	—
965	#407	C₂×D₆₇	1	1	yes	characteristic
966	#407	C₂×D₆₇	1	1	yes	characteristic, complemented
967	C₂×C₂²⋊C₈	—	67	2	no	—
968	C₂×C₂²⋊C₈	—	67	2	no	—
969	C₂×C₂²⋊C₈	—	67	2	no	—
970	C₂×C₂²⋊C₈	—	67	2	no	—
971	C₄×M₁₆	—	67	1	no	—
972	C₄×M₁₆	—	67	1	no	—
973	C₄×M₁₆	—	67	1	no	—
974	C₄×M₁₆	C₂×D₆₇	1	1	yes	characteristic, complemented
975	C₂⁵	—	67	1	no	—
976	C₂×#41	—	268	2	no	—
977	C₂×#41	—	268	2	no	—
978	C₂×#41	—	67	1	no	—
979	C₂×#41	—	67	1	no	—
980	C₂×#41	—	67	1	no	—
981	C₂×#41	—	67	1	no	—
982	C₂×#41	—	67	1	no	—
983	C₂×#41	—	67	1	no	—
984	C₂×#41	—	67	1	no	—
985	C₂×#41	—	67	1	no	—
986	C₂²×Q₈	—	67	1	no	—
987	C₂²×D₄	—	67	1	no	—
988	C₂²×D₄	—	67	1	no	—
989	C₂²×D₄	—	67	1	no	—
990	C₂²×D₄	—	67	1	no	—
991	C₂²×D₄	—	67	1	no	—
992	C₂²×D₄	—	67	1	no	—
993	C₂²×D₄	C₄×D₆₇	1	1	yes	characteristic
994	C₂³×C₄	—	268	2	no	—
995	C₂³×C₄	—	268	2	no	—
996	C₂³×C₄	—	67	1	no	—
997	C₂³×C₄	—	67	1	no	—
998	C₂³×C₄	—	67	1	no	—
999	C₂³×C₄	—	67	1	no	—
1000	C₂³×C₄	—	67	1	no	—
1001	C₂³×C₄	—	67	1	no	—
1002	C₂³×C₄	—	67	1	no	—
1003	C₂³×C₄	—	67	1	no	—
1004	C₂³×C₄	—	67	1	no	—
1005	C₂³×C₄	—	67	1	no	—
1006	C₂³×C₄	—	67	1	no	—
1007	C₂³×C₄	—	67	1	no	—
1008	C₂³×C₄	—	67	1	no	—
1009	C₂³×C₄	—	67	1	no	—
1010	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1011	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1012	C₂×M₁₆	—	4	2	no	—
1013	C₂×M₁₆	—	4	2	no	—
1014	C₂×M₁₆	—	268	2	no	—
1015	C₂×M₁₆	—	268	2	no	—
1016	C₂×M₁₆	—	268	2	no	—
1017	C₂×M₁₆	—	268	2	no	—
1018	C₂×M₁₆	—	268	2	no	—
1019	C₂×M₁₆	—	268	2	no	—
1020	C₂×M₁₆	—	67	2	no	—
1021	C₂×M₁₆	—	67	2	no	—
1022	C₂×M₁₆	—	67	1	no	—
1023	C₂×M₁₆	—	67	1	no	—
1024	C₂×M₁₆	—	67	1	no	—
1025	C₂×M₁₆	—	67	1	no	—
1026	C₂×M₁₆	—	67	2	no	—
1027	C₂×M₁₆	—	67	2	no	—
1028	C₂×M₁₆	—	67	2	no	—
1029	C₂×M₁₆	—	67	2	no	—
1030	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1031	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1032	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1033	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1034	C₂×M₁₆	C₂²×D₆₇	1	2	yes	—
1035	C₂×M₁₆	C₂²×D₆₇	1	2	yes	complemented
1036	C₂²×C₈	—	67	2	no	—
1037	C₂²×C₈	—	67	2	no	—
1038	C₂²×C₈	—	67	2	no	—
1039	C₂²×C₈	—	67	2	no	—
1040	C₂²×C₈	—	67	2	no	—
1041	C₂²×C₈	—	67	2	no	—
1042	C₂²×C₈	C₂²×D₆₇	1	2	yes	—
1043	C₂²×C₈	C₂²×D₆₇	1	2	yes	complemented
1044	#123	—	67	1	no	—
1045	#123	—	67	1	no	—
1046	#123	—	67	1	no	—
1047	#123	—	67	1	no	—
1048	#123	—	67	1	no	—
1049	#123	—	67	1	no	—
1050	#123	—	67	1	no	—
1051	#123	—	67	1	no	—
1052	#123	—	67	1	no	—
1053	#123	—	67	1	no	—
1054	#123	—	67	1	no	—
1055	#123	—	67	1	no	—
1056	#123	—	67	1	no	—
1057	#123	—	67	1	no	—
1058	#123	—	67	1	no	—
1059	#123	—	67	1	no	—
1060	C₂²⋊Q₈	—	67	1	no	—
1061	C₂²⋊Q₈	—	67	1	no	—
1062	C₂²⋊Q₈	—	67	1	no	—
1063	C₂²⋊Q₈	—	67	1	no	—
1064	C₂²⋊Q₈	—	67	1	no	—
1065	C₂²⋊Q₈	—	67	1	no	—
1066	C₂²⋊Q₈	—	67	1	no	—
1067	C₂²⋊Q₈	—	67	1	no	—
1068	C₂²⋊Q₈	—	67	1	no	—
1069	C₂²⋊Q₈	—	67	1	no	—
1070	C₂²⋊Q₈	—	67	1	no	—
1071	C₂²⋊Q₈	—	67	1	no	—
1072	C₂²⋊Q₈	—	67	1	no	—
1073	C₂²⋊Q₈	—	67	1	no	—
1074	C₂²⋊Q₈	—	67	1	no	—
1075	C₂²⋊Q₈	—	67	1	no	—
1076	#121	—	67	1	no	—
1077	#121	—	67	1	no	—
1078	#121	—	67	1	no	—
1079	#121	—	67	1	no	—
1080	#121	—	67	1	no	—
1081	#121	—	67	1	no	—
1082	#121	—	67	1	no	—
1083	#121	—	67	1	no	—
1084	#121	—	67	1	no	—
1085	#121	—	67	1	no	—
1086	#121	—	67	1	no	—
1087	#121	—	67	1	no	—
1088	#121	—	67	1	no	—
1089	#121	—	67	1	no	—
1090	#121	—	67	1	no	—
1091	#121	—	67	1	no	—
1092	#120	—	67	1	no	—
1093	#120	—	67	1	no	—
1094	#120	—	67	1	no	—
1095	#120	—	67	1	no	—
1096	#120	—	67	1	no	—
1097	#120	—	67	1	no	—
1098	#120	—	67	1	no	—
1099	#120	—	67	1	no	—
1100	#120	—	67	1	no	—
1101	#120	—	67	1	no	—
1102	#120	—	67	1	no	—
1103	#120	—	67	1	no	—
1104	#120	—	67	1	no	—
1105	#120	—	67	1	no	—
1106	#120	—	67	1	no	—
1107	#120	—	67	1	no	—
1108	C₄×D₄	—	67	1	no	—
1109	C₄×D₄	—	67	1	no	—
1110	C₄×D₄	—	67	1	no	—
1111	C₄×D₄	—	67	1	no	—
1112	C₄×D₄	—	67	1	no	—
1113	C₄×D₄	—	67	1	no	—
1114	C₄×D₄	—	67	1	no	—
1115	C₄×D₄	—	67	1	no	—
1116	C₄×D₄	—	67	1	no	—
1117	C₄×D₄	—	67	1	no	—
1118	C₄×D₄	—	67	1	no	—
1119	C₄×D₄	—	67	1	no	—
1120	C₄×D₄	—	67	1	no	—
1121	C₄×D₄	—	67	1	no	—
1122	C₄×D₄	—	67	1	no	—
1123	C₄×D₄	—	67	1	no	—
1124	C₄×D₄	—	67	1	no	—
1125	C₄×D₄	—	67	1	no	—
1126	C₄×D₄	—	67	1	no	—
1127	C₄×D₄	—	67	1	no	—
1128	C₄×D₄	—	67	1	no	—
1129	C₄×D₄	—	67	1	no	—
1130	C₄×D₄	—	67	1	no	—
1131	C₄×D₄	—	67	1	no	—
1132	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1133	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1134	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1135	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1136	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1137	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1138	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1139	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1140	#117	—	67	1	no	—
1141	#117	—	67	1	no	—
1142	#117	—	67	1	no	—
1143	#117	—	67	1	no	—
1144	#117	—	67	1	no	—
1145	#117	—	67	1	no	—
1146	#117	—	67	1	no	—
1147	#117	—	67	1	no	—
1148	C₂×C₄⋊C₄	—	67	1	no	—
1149	C₂×C₄⋊C₄	—	67	1	no	—
1150	C₂×C₄⋊C₄	—	67	1	no	—
1151	C₂×C₄⋊C₄	—	67	1	no	—
1152	C₂×C₄⋊C₄	—	67	1	no	—
1153	C₂×C₄⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	—	67	1	no	—
1155	C₂×C₂²⋊C₄	—	67	1	no	—
1156	C₂×C₂²⋊C₄	—	67	1	no	—
1157	C₂×C₂²⋊C₄	—	67	1	no	—
1158	C₂×C₂²⋊C₄	—	67	1	no	—
1159	C₂×C₂²⋊C₄	—	67	1	no	—
1160	C₂×C₂²⋊C₄	—	67	1	no	—
1161	C₂×C₂²⋊C₄	—	67	1	no	—
1162	C₂×C₂²⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1164	C₂×C₄²	—	67	1	no	—
1165	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1166	C₄⋊C₈	—	67	2	no	—
1167	C₄⋊C₈	—	67	2	no	—
1168	C₄⋊C₈	—	67	2	no	—
1169	C₄⋊C₈	—	67	2	no	—
1170	C₄⋊C₈	—	67	2	no	—
1171	C₄⋊C₈	—	67	2	no	—
1172	C₄⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1173	C₄⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1174	C₂²⋊C₈	—	67	2	no	—
1175	C₂²⋊C₈	—	67	2	no	—
1176	C₂²⋊C₈	—	67	2	no	—
1177	C₂²⋊C₈	—	67	2	no	—
1178	C₂²⋊C₈	—	67	2	no	—
1179	C₂²⋊C₈	—	67	2	no	—
1180	C₂²⋊C₈	—	67	2	no	—
1181	C₂²⋊C₈	—	67	2	no	—
1182	C₂²⋊C₈	—	67	2	no	—
1183	C₂²⋊C₈	—	67	2	no	—
1184	C₂²⋊C₈	—	67	2	no	—
1185	C₂²⋊C₈	—	67	2	no	—
1186	C₂²⋊C₈	—	67	2	no	—
1187	C₂²⋊C₈	—	67	2	no	—
1188	C₂²⋊C₈	—	67	2	no	—
1189	C₂²⋊C₈	—	67	2	no	—
1190	C₂²⋊C₈	—	67	2	no	—
1191	C₂²⋊C₈	—	67	2	no	—
1192	C₂²⋊C₈	—	67	2	no	—
1193	C₂²⋊C₈	—	67	2	no	—
1194	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	—
1195	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	—
1196	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1197	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1198	#97	—	67	2	no	—
1199	#97	—	67	2	no	—
1200	#97	—	67	2	no	—
1201	#97	C₂²×D₆₇	1	2	yes	complemented
1202	C₄×C₈	—	67	2	no	—
1203	C₄×C₈	—	67	2	no	—
1204	C₄×C₈	—	67	2	no	—
1205	C₄×C₈	C₂²×D₆₇	1	2	yes	complemented
1206	C₂⁴	—	268	2	no	—
1207	C₂⁴	—	268	2	no	—
1208	C₂⁴	—	268	2	no	—
1209	C₂⁴	—	67	1	no	—
1210	C₂⁴	—	67	1	no	—
1211	C₂⁴	—	67	1	no	—
1212	C₂⁴	—	67	1	no	—
1213	C₂⁴	—	67	1	no	—
1214	C₂⁴	—	67	1	no	—
1215	C₂⁴	—	67	1	no	—
1216	C₂⁴	C₂×C₄×D₆₇	1	1	yes	characteristic
1217	C₂⁴	C₂×C₄×D₆₇	1	1	yes	characteristic
1218	#41	—	268	2	no	—
1219	#41	—	268	2	no	—
1220	#41	—	268	2	no	—
1221	#41	—	268	2	no	—
1222	#41	—	268	1	no	—
1223	#41	—	268	1	no	—
1224	#41	—	268	1	no	—
1225	#41	—	268	1	no	—
1226	#41	—	268	1	no	—
1227	#41	—	268	1	no	—
1228	#41	—	268	1	no	—
1229	#41	—	268	1	no	—
1230	C₂×Q₈	—	268	2	no	—
1231	C₂×Q₈	—	67	1	no	—
1232	C₂×Q₈	—	67	1	no	—
1233	C₂×Q₈	—	67	1	no	—
1234	C₂×Q₈	—	67	1	no	—
1235	C₂×D₄	—	4	2	no	—
1236	C₂×D₄	—	268	2	no	—
1237	C₂×D₄	—	268	2	no	—
1238	C₂×D₄	—	268	2	no	—
1239	C₂×D₄	—	268	2	no	—
1240	C₂×D₄	—	268	2	no	—
1241	C₂×D₄	—	268	2	no	—
1242	C₂×D₄	—	67	1	no	—
1243	C₂×D₄	—	67	1	no	—
1244	C₂×D₄	—	67	1	no	—
1245	C₂×D₄	—	67	1	no	—
1246	C₂×D₄	—	67	1	no	—
1247	C₂×D₄	—	67	1	no	—
1248	C₂×D₄	—	67	1	no	—
1249	C₂×D₄	—	67	1	no	—
1250	C₂×D₄	—	67	1	no	—
1251	C₂×D₄	—	67	1	no	—
1252	C₂×D₄	—	67	1	no	—
1253	C₂×D₄	—	67	1	no	—
1254	C₂×D₄	—	67	1	no	—
1255	C₂×D₄	—	67	1	no	—
1256	C₂×D₄	—	67	1	no	—
1257	C₂×D₄	—	67	1	no	—
1258	C₂×D₄	—	67	1	no	—
1259	C₂×D₄	—	67	1	no	—
1260	C₂×D₄	—	67	1	no	—
1261	C₂×D₄	—	67	1	no	—
1262	C₂×D₄	—	67	1	no	—
1263	C₂×D₄	—	67	1	no	—
1264	C₂×D₄	—	67	1	no	—
1265	C₂×D₄	—	67	1	no	—
1266	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1267	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1268	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1269	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1270	C₂²×C₄	—	2	2	no	—
1271	C₂²×C₄	—	2	2	no	—
1272	C₂²×C₄	—	2	2	no	—
1273	C₂²×C₄	—	2	2	no	—
1274	C₂²×C₄	—	268	2	no	—
1275	C₂²×C₄	—	268	2	no	—
1276	C₂²×C₄	—	268	2	no	—
1277	C₂²×C₄	—	268	2	no	—
1278	C₂²×C₄	—	268	2	no	—
1279	C₂²×C₄	—	268	2	no	—
1280	C₂²×C₄	—	268	1	no	—
1281	C₂²×C₄	—	268	1	no	—
1282	C₂²×C₄	—	268	1	no	—
1283	C₂²×C₄	—	268	1	no	—
1284	C₂²×C₄	—	268	1	no	—
1285	C₂²×C₄	—	268	1	no	—
1286	C₂²×C₄	—	268	1	no	—
1287	C₂²×C₄	—	268	1	no	—
1288	C₂²×C₄	—	268	2	no	—
1289	C₂²×C₄	—	67	1	no	—
1290	C₂²×C₄	—	67	1	no	—
1291	C₂²×C₄	—	67	1	no	—
1292	C₂²×C₄	—	67	1	no	—
1293	C₂²×C₄	—	67	1	no	—
1294	C₂²×C₄	—	67	1	no	—
1295	C₂²×C₄	—	67	1	no	—
1296	C₂²×C₄	—	67	1	no	—
1297	C₂²×C₄	—	67	1	no	—
1298	C₂²×C₄	—	67	1	no	—
1299	C₂²×C₄	—	67	1	no	—
1300	C₂²×C₄	—	67	1	no	—
1301	C₂²×C₄	—	67	1	no	—
1302	C₂²×C₄	—	67	1	no	—
1303	C₂²×C₄	—	67	1	no	—
1304	C₂²×C₄	—	67	1	no	—
1305	C₂²×C₄	—	67	1	no	—
1306	C₂²×C₄	—	67	1	no	—
1307	C₂²×C₄	—	67	1	no	—
1308	C₂²×C₄	—	67	1	no	—
1309	C₂²×C₄	—	67	1	no	—
1310	C₂²×C₄	—	67	1	no	—
1311	C₂²×C₄	—	67	1	no	—
1312	C₂²×C₄	—	67	1	no	—
1313	C₂²×C₄	—	67	1	no	—
1314	C₂²×C₄	—	67	1	no	—
1315	C₂²×C₄	—	67	1	no	—
1316	C₂²×C₄	—	67	1	no	—
1317	C₂²×C₄	—	67	1	no	—
1318	C₂²×C₄	—	134	2	no	—
1319	C₂²×C₄	—	134	2	no	—
1320	C₂²×C₄	—	134	2	no	—
1321	C₂²×C₄	—	134	2	no	—
1322	C₂²×C₄	—	134	2	no	—
1323	C₂²×C₄	—	134	2	no	—
1324	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1325	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1326	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1327	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1328	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1329	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1330	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1331	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1332	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1333	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1334	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1335	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1336	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1337	M₁₆	—	2	2	no	—
1338	M₁₆	—	2	2	no	—
1339	M₁₆	—	2	2	no	—
1340	M₁₆	—	2	2	no	—
1341	M₁₆	—	4	2	no	—
1342	M₁₆	—	4	2	no	—
1343	M₁₆	—	268	2	no	—
1344	M₁₆	—	268	2	no	—
1345	M₁₆	—	268	2	no	—
1346	M₁₆	—	268	2	no	—
1347	M₁₆	—	268	2	no	—
1348	M₁₆	—	268	2	no	—
1349	M₁₆	—	134	2	no	—
1350	M₁₆	—	134	2	no	—
1351	M₁₆	—	134	2	no	—
1352	M₁₆	—	134	2	no	—
1353	C₂×C₈	—	4	2	no	—
1354	C₂×C₈	—	4	2	no	—
1355	C₂×C₈	—	268	2	no	—
1356	C₂×C₈	—	268	2	no	—
1357	C₂×C₈	—	268	2	no	—
1358	C₂×C₈	—	268	2	no	—
1359	C₂×C₈	—	268	2	no	—
1360	C₂×C₈	—	268	2	no	—
1361	C₂×C₈	—	67	2	no	—
1362	C₂×C₈	—	67	2	no	—
1363	C₂×C₈	—	67	2	no	—
1364	C₂×C₈	—	67	2	no	—
1365	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1366	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1367	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1368	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1369	C₄⋊C₄	—	67	1	no	—
1370	C₄⋊C₄	—	67	1	no	—
1371	C₄⋊C₄	—	67	1	no	—
1372	C₄⋊C₄	—	67	1	no	—
1373	C₄⋊C₄	—	67	1	no	—
1374	C₄⋊C₄	—	67	1	no	—
1375	C₄⋊C₄	—	67	1	no	—
1376	C₄⋊C₄	—	67	1	no	—
1377	C₄⋊C₄	—	67	1	no	—
1378	C₄⋊C₄	—	67	1	no	—
1379	C₄⋊C₄	—	67	1	no	—
1380	C₄⋊C₄	—	67	1	no	—
1381	C₄⋊C₄	—	67	1	no	—
1382	C₄⋊C₄	—	67	1	no	—
1383	C₄⋊C₄	—	67	1	no	—
1384	C₄⋊C₄	—	67	1	no	—
1385	C₄⋊C₄	—	67	1	no	—
1386	C₄⋊C₄	—	67	1	no	—
1387	C₄⋊C₄	—	67	1	no	—
1388	C₄⋊C₄	—	67	1	no	—
1389	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1390	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1392	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1393	C₂²⋊C₄	—	67	1	no	—
1394	C₂²⋊C₄	—	67	1	no	—
1395	C₂²⋊C₄	—	67	1	no	—
1396	C₂²⋊C₄	—	67	1	no	—
1397	C₂²⋊C₄	—	67	1	no	—
1398	C₂²⋊C₄	—	67	1	no	—
1399	C₂²⋊C₄	—	67	1	no	—
1400	C₂²⋊C₄	—	67	1	no	—
1401	C₂²⋊C₄	—	67	1	no	—
1402	C₂²⋊C₄	—	67	1	no	—
1403	C₂²⋊C₄	—	67	1	no	—
1404	C₂²⋊C₄	—	67	1	no	—
1405	C₂²⋊C₄	—	67	1	no	—
1406	C₂²⋊C₄	—	67	1	no	—
1407	C₂²⋊C₄	—	67	1	no	—
1408	C₂²⋊C₄	—	67	1	no	—
1409	C₂²⋊C₄	—	67	1	no	—
1410	C₂²⋊C₄	—	67	1	no	—
1411	C₂²⋊C₄	—	67	1	no	—
1412	C₂²⋊C₄	—	67	1	no	—
1413	C₂²⋊C₄	—	67	1	no	—
1414	C₂²⋊C₄	—	67	1	no	—
1415	C₂²⋊C₄	—	67	1	no	—
1416	C₂²⋊C₄	—	67	1	no	—
1417	C₂²⋊C₄	—	67	1	no	—
1418	C₂²⋊C₄	—	67	1	no	—
1419	C₂²⋊C₄	—	67	1	no	—
1420	C₂²⋊C₄	—	67	1	no	—
1421	C₂²⋊C₄	—	67	1	no	—
1422	C₂²⋊C₄	—	67	1	no	—
1423	C₂²⋊C₄	—	67	1	no	—
1424	C₂²⋊C₄	—	67	1	no	—
1425	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1426	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1427	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1428	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1429	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1430	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1431	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1432	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1433	C₄²	—	67	1	no	—
1434	C₄²	—	67	1	no	—
1435	C₄²	—	67	1	no	—
1436	C₄²	—	67	1	no	—
1437	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1438	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1439	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1440	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1441	C₂³	—	2	2	no	—
1442	C₂³	—	2	2	no	—
1443	C₂³	—	2	2	no	—
1444	C₂³	—	4	1	no	—
1445	C₂³	—	4	1	no	—
1446	C₂³	—	4	1	no	—
1447	C₂³	—	268	1	no	—
1448	C₂³	—	268	1	no	—
1449	C₂³	—	268	1	no	—
1450	C₂³	—	268	1	no	—
1451	C₂³	—	268	1	no	—
1452	C₂³	—	268	1	no	—
1453	C₂³	—	268	1	no	—
1454	C₂³	—	268	1	no	—
1455	C₂³	—	268	1	no	—
1456	C₂³	—	268	1	no	—
1457	C₂³	—	268	1	no	—
1458	C₂³	—	268	1	no	—
1459	C₂³	—	268	1	no	—
1460	C₂³	—	268	16	no	—
1461	C₂³	—	67	1	no	—
1462	C₂³	—	67	1	no	—
1463	C₂³	—	67	1	no	—
1464	C₂³	—	67	1	no	—
1465	C₂³	—	67	1	no	—
1466	C₂³	—	67	1	no	—
1467	C₂³	—	134	2	no	—
1468	C₂³	—	134	2	no	—
1469	C₂³	—	134	2	no	—
1470	C₂³	—	134	2	no	—
1471	C₂³	—	134	2	no	—
1472	C₂³	—	134	2	no	—
1473	C₂³	—	134	2	no	—
1474	C₂³	—	134	2	no	—
1475	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1476	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1477	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1478	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1479	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1480	Q₈	—	268	1	no	—
1481	Q₈	—	268	1	no	—
1482	Q₈	—	268	1	no	—
1483	Q₈	—	268	1	no	—
1484	D₄	—	2	2	no	—
1485	D₄	—	2	2	no	—
1486	D₄	—	4	1	no	—
1487	D₄	—	4	1	no	—
1488	D₄	—	268	1	no	—
1489	D₄	—	268	1	no	—
1490	D₄	—	268	1	no	—
1491	D₄	—	268	1	no	—
1492	D₄	—	268	1	no	—
1493	D₄	—	268	1	no	—
1494	D₄	—	268	1	no	—
1495	D₄	—	268	1	no	—
1496	D₄	—	268	1	no	—
1497	D₄	—	268	1	no	—
1498	D₄	—	268	1	no	—
1499	D₄	—	268	1	no	—
1500	D₄	—	268	1	no	—
1501	D₄	—	268	1	no	—
1502	D₄	—	268	1	no	—
1503	D₄	—	268	1	no	—
1504	D₄	—	268	1	no	—
1505	D₄	—	268	1	no	—
1506	D₄	—	134	2	no	—
1507	D₄	—	134	2	no	—
1508	D₄	—	134	2	no	—
1509	D₄	—	134	2	no	—
1510	D₄	—	134	2	no	—
1511	D₄	—	134	2	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	2	no	—
1514	C₂×C₄	—	2	2	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	4	1	no	—
1527	C₂×C₄	—	4	1	no	—
1528	C₂×C₄	—	268	1	no	—
1529	C₂×C₄	—	268	1	no	—
1530	C₂×C₄	—	268	1	no	—
1531	C₂×C₄	—	268	1	no	—
1532	C₂×C₄	—	268	1	no	—
1533	C₂×C₄	—	268	1	no	—
1534	C₂×C₄	—	268	1	no	—
1535	C₂×C₄	—	268	1	no	—
1536	C₂×C₄	—	268	1	no	—
1537	C₂×C₄	—	268	1	no	—
1538	C₂×C₄	—	268	1	no	—
1539	C₂×C₄	—	268	1	no	—
1540	C₂×C₄	—	268	1	no	—
1541	C₂×C₄	—	268	1	no	—
1542	C₂×C₄	—	67	1	no	—
1543	C₂×C₄	—	67	1	no	—
1544	C₂×C₄	—	67	1	no	—
1545	C₂×C₄	—	67	1	no	—
1546	C₂×C₄	—	67	1	no	—
1547	C₂×C₄	—	67	1	no	—
1548	C₂×C₄	—	67	1	no	—
1549	C₂×C₄	—	67	1	no	—
1550	C₂×C₄	—	67	1	no	—
1551	C₂×C₄	—	67	1	no	—
1552	C₂×C₄	—	134	2	no	—
1553	C₂×C₄	—	134	2	no	—
1554	C₂×C₄	—	134	2	no	—
1555	C₂×C₄	—	134	2	no	—
1556	C₂×C₄	—	134	2	no	—
1557	C₂×C₄	—	134	2	no	—
1558	C₂×C₄	—	134	2	no	—
1559	C₂×C₄	—	134	2	no	—
1560	C₂×C₄	—	134	2	no	—
1561	C₂×C₄	—	134	1	no	—
1562	C₂×C₄	—	134	1	no	—
1563	C₂×C₄	—	134	1	no	—
1564	C₂×C₄	—	134	1	no	—
1565	C₂×C₄	—	134	1	no	—
1566	C₂×C₄	—	134	1	no	—
1567	C₂×C₄	—	134	1	no	—
1568	C₂×C₄	—	134	1	no	—
1569	C₂×C₄	—	134	1	no	—
1570	C₂×C₄	—	134	1	no	—
1571	C₂×C₄	—	134	1	no	—
1572	C₂×C₄	—	134	1	no	—
1573	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1574	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1575	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1576	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1577	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1578	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1579	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1580	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1581	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1582	C₂×C₄	#14524088	1	2	yes	—
1583	C₂×C₄	#14524089	1	2	yes	—
1584	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1585	C₈	—	2	2	no	—
1586	C₈	—	2	2	no	—
1587	C₈	—	2	2	no	—
1588	C₈	—	2	2	no	—
1589	C₈	—	134	2	no	—
1590	C₈	—	134	2	no	—
1591	C₈	—	134	2	no	—
1592	C₈	—	134	2	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	1	no	—
1603	C₂²	—	2	1	no	—
1604	C₂²	—	2	1	no	—
1605	C₂²	—	2	1	no	—
1606	C₂²	—	4	4	no	—
1607	C₂²	—	8	2	no	—
1608	C₂²	—	268	4	no	—
1609	C₂²	—	268	4	no	—
1610	C₂²	—	268	4	no	—
1611	C₂²	—	268	4	no	—
1612	C₂²	—	268	4	no	—
1613	C₂²	—	268	4	no	—
1614	C₂²	—	536	2	no	—
1615	C₂²	—	67	2	no	—
1616	C₂²	—	134	1	no	—
1617	C₂²	—	134	1	no	—
1618	C₂²	—	134	1	no	—
1619	C₂²	—	134	1	no	—
1620	C₂²	—	134	1	no	—
1621	C₂²	—	134	1	no	—
1622	C₂²	—	134	1	no	—
1623	C₂²	—	134	1	no	—
1624	C₂²	—	134	1	no	—
1625	C₂²	—	134	1	no	—
1626	C₂²	—	134	1	no	—
1627	C₂²	—	134	1	no	—
1628	C₂²	—	134	1	no	—
1629	C₂²	—	134	1	no	—
1630	C₂²	—	134	1	no	—
1631	C₂²	—	134	1	no	—
1632	C₂²	—	134	1	no	—
1633	C₂²	#16863868	1	2	yes	—
1634	C₂²	#16864162	1	2	yes	—
1635	C₂²	C₂³×C₄×D₆₇	1	1	yes	characteristic
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	2	1	no	—
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	134	1	no	—
1645	C₄	—	134	1	no	—
1646	C₄	—	134	1	no	—
1647	C₄	—	134	1	no	—
1648	C₄	—	134	1	no	—
1649	C₄	—	134	1	no	—
1650	C₄	—	134	1	no	—
1651	C₄	—	134	1	no	—
1652	C₄	—	134	1	no	—
1653	C₄	—	134	1	no	—
1654	C₄	#16863868	1	2	yes	—
1655	C₄	C₂×#14524088	1	1	yes	characteristic
1656	C₄	C₂×#14524089	1	1	yes	characteristic
1657	C₂	—	2	2	no	—
1658	C₂	—	2	2	no	—
1659	C₂	—	4	1	no	—
1660	C₂	—	4	1	no	—
1661	C₂	—	4	1	no	—
1662	C₂	—	268	1	no	—
1663	C₂	—	268	1	no	—
1664	C₂	—	268	1	no	—
1665	C₂	—	268	1	no	—
1666	C₂	—	268	1	no	—
1667	C₂	—	134	2	no	—
1668	C₂	C₂×#16863868	1	1	yes	characteristic
1669	C₂	#568×D₆₇	1	1	yes	characteristic
1670	C₂	C₂×#16864162	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₆₇
commutator, socle	C₂²×C₆₇	C₂⁴×C₄
Fitting	D₄×M₁₆×C₆₇	C₂
prime radical	C₂×#16863905	C₂
cosocle	C₂×C₄×C₆₇	C₂⁵
hypercenter	D₄×M₁₆	D₆₇
hypocenter	C₆₇	#60231
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. #22569268	C₂	semidirect
3. #22569266	C₂	semidirect
4. #22569262	C₂	semidirect
5. #22569260	C₂	semidirect
6. #22569258	C₂	semidirect
7. #22569256	C₂	semidirect
8. #22569253	C₂	semidirect
9. #22569251	C₂	semidirect
10. M₁₆×D₂₆₈	C₂	semidirect
11. D₄×#11761612	C₂	semidirect
12. #22568944	C₂	semidirect
13. M₁₆×C₂²⋊D₆₇	C₂	semidirect
14. M₁₆×C₂²⋊D₆₇	C₂	semidirect
15. #22568941	C₂	semidirect
16. #22568941	C₂	semidirect
17. #22568846	C₂	semidirect
18. #22568845	C₂	semidirect
19. #22568653	C₂	semidirect
20. #22568652	C₂	semidirect
21. C₂×#16863359	C₂	semidirect
22. #407×D₆₇	C₂	semidirect
23. D₄×M₁₆×C₆₇	C₂	semidirect
27. C₂²×#11761612	C₂²	semidirect
30. C₂×M₁₆×D₆₇	C₂²	semidirect
31. C₂×M₁₆×D₆₇	C₂²	semidirect
60. #16863475	C₂²	semidirect
61. #16863474	C₂²	semidirect
62. #16863473	C₂²	semidirect
63. #16863472	C₂²	semidirect
64. #16863472	C₂²	semidirect
65. #16863471	C₂²	semidirect
66. #16863471	C₂²	semidirect
67. #16863470	C₂²	semidirect
68. #16863470	C₂²	semidirect
69. #16863469	C₂²	semidirect
70. #16863469	C₂²	semidirect
71. #16863468	C₂²	semidirect
72. #16863468	C₂²	semidirect
73. #16863467	C₂²	semidirect
74. #16863467	C₂²	semidirect
75. #16863466	C₂²	semidirect
76. #16863466	C₂²	semidirect
77. #16863465	C₂²	semidirect
78. #16863465	C₂²	semidirect
79. #16863464	C₂²	semidirect
80. #16863464	C₂²	semidirect
81. C₈×D₂₆₈	C₂²	semidirect
82. D₄×C₆₇⋊C₈	C₂²	semidirect
83. #16863461	C₂²	semidirect
84. C₈×C₂²⋊D₆₇	C₂²	semidirect
85. C₈×C₂²⋊D₆₇	C₂²	semidirect
86. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
87. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
88. #16863458	C₂²	semidirect
89. #16863458	C₂²	semidirect
90. #16863456	C₂²	semidirect
91. #16863456	C₂²	semidirect
92. #16863456	C₂²	semidirect
93. #16863456	C₂²	semidirect
94. #16863455	C₂²	semidirect
95. #16863455	C₂²	semidirect
96. #16863420	C₂²	semidirect
97. #16863419	C₂²	semidirect
98. #16863419	C₂²	semidirect
99. #16863364	C₂²	semidirect
100. #16863364	C₂²	semidirect
101. #16863362	C₂²	semidirect
102. #16863362	C₂²	semidirect
103. #16863361	C₂²	semidirect
104. #16863361	C₂²	semidirect
105. #16863361	C₂²	semidirect
106. #16863361	C₂²	semidirect
108. #16863360	C₂²	semidirect
115. #16863359	C₂²	semidirect
116. #16863359	C₂²	semidirect
117. #16863359	C₂²	semidirect
118. #16863359	C₂²	semidirect
119. #16863358	C₂²	semidirect
120. #16863358	C₂²	semidirect
121. C₂×(C₂×D₆₇)⋊C₈	C₂²	semidirect
122. C₂×(C₂×D₆₇)⋊C₈	C₂²	semidirect
123. C₂²⋊C₈×D₆₇	C₂²	semidirect
124. C₂²⋊C₈×D₆₇	C₂²	semidirect
125. C₄×#11761612	C₂²	semidirect
126. M₁₆×Dic₆₇	C₂²	semidirect
127. M₁₆×Dic₆₇	C₂²	semidirect
129. C₂²×M₁₆×C₆₇	C₂²	semidirect
131. #436×C₆₇	C₂²	semidirect
132. #435×C₆₇	C₂²	semidirect
133. #435×C₆₇	C₂²	semidirect
134. C₈×D₄×C₆₇	C₂²	semidirect
135. #423×C₆₇	C₂²	semidirect
137. #407×C₆₇	C₂²	semidirect
138. C₄×M₁₆×C₆₇	C₂²	semidirect
180. C₂×#11761612	C₂³	semidirect
183. C₂×#11761611	C₂³	semidirect
184. C₂×#11761611	C₂³	semidirect
190. C₂²×C₆₇⋊C₈	C₂³	semidirect
193. C₂×C₈×D₆₇	C₂³	semidirect
194. C₂×C₈×D₆₇	C₂³	semidirect
305. C₄⋊(C₆₇⋊C₈)	C₂³	semidirect
306. C₄⋊(C₆₇⋊C₈)	C₂³	semidirect
307. Dic₆₇⋊C₈	C₂³	semidirect
308. Dic₆₇⋊C₈	C₂³	semidirect
309. Dic₆₇⋊C₈	C₂³	semidirect
310. Dic₆₇⋊C₈	C₂³	semidirect
313. C₂²⋊(C₆₇⋊C₈)	C₂³	semidirect
314. C₂²⋊(C₆₇⋊C₈)	C₂³	semidirect
327. (C₂×D₆₇)⋊C₈	C₂³	semidirect
328. (C₂×D₆₇)⋊C₈	C₂³	semidirect
329. (C₂×D₆₇)⋊C₈	C₂³	semidirect
330. (C₂×D₆₇)⋊C₈	C₂³	semidirect
331. #14523954	C₂³	semidirect
332. #14523953	C₂³	semidirect
333. #14523953	C₂³	semidirect
334. C₄×C₆₇⋊C₈	C₂³	semidirect
335. C₈×Dic₆₇	C₂³	semidirect
336. C₈×Dic₆₇	C₂³	semidirect
347. C₂×M₁₆×C₆₇	C₂³	semidirect
349. C₂²×C₈×C₆₇	C₂³	semidirect
362. C₄⋊C₈×C₆₇	C₂³	semidirect
363. C₄⋊C₈×C₆₇	C₂³	semidirect
366. C₂²⋊C₈×C₆₇	C₂³	semidirect
367. C₂²⋊C₈×C₆₇	C₂³	semidirect
368. #97×C₆₇	C₂³	semidirect
369. C₄×C₈×C₆₇	C₂³	semidirect
852. D₄×M₁₆	D₆₇	semidirect
859. C₆₇	#60231	semidirect
869. C₂²×M₁₆	C₂×D₆₇	semidirect
906. #436	C₂×D₆₇	semidirect
921. #435	C₂×D₆₇	semidirect
922. #435	C₂×D₆₇	semidirect
930. C₈×D₄	C₂×D₆₇	semidirect
942. #423	C₂×D₆₇	semidirect
966. #407	C₂×D₆₇	semidirect
974. C₄×M₁₆	C₂×D₆₇	semidirect
1035. C₂×M₁₆	C₂²×D₆₇	semidirect
1043. C₂²×C₈	C₂²×D₆₇	semidirect
1172. C₄⋊C₈	C₂²×D₆₇	semidirect
1173. C₄⋊C₈	C₂²×D₆₇	semidirect
1196. C₂²⋊C₈	C₂²×D₆₇	semidirect
1197. C₂²⋊C₈	C₂²×D₆₇	semidirect
1201. #97	C₂²×D₆₇	semidirect
1205. C₄×C₈	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#16863905	2
#22569268	2
#22569266	2
#22569262	2
#22569260	2
#22569258	2
#22569256	2
#22569253	2
#22569251	2
M₁₆×D₂₆₈	2
D₄×#11761612	2
#22568944	2
M₁₆×C₂²⋊D₆₇	2
#22568941	2
#22568846	2
#22568845	2
#22568653	2
#22568652	2
C₂×#16863359	2
#407×D₆₇	2
D₄×M₁₆×C₆₇	2
#60231	67