Subgroups — C₆₇×#34470 #30713721

Order 17152.

2636 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×#546×C₆₇	C₂	1	1	yes	maximal, characteristic
2	C₆₇×#2379	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#2378	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#2377	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#2375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#2374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#2364	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#2361	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#2359	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#2358	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2357	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#2352	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#2342	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#2342	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#2339	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×C₂²⋊C₄×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#2337	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#2333	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#2332	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#2325	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2324	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#2321	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#2321	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#2318	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#2318	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#2312	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₇×#2308	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#123×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₇×#2297	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#388×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
33	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic
34	#546×C₆₇	C₄	1	16	yes	complemented
35	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
36	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
37	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
39	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
40	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
41	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
42	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
43	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
52	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
53	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
60	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
61	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
62	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
63	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
64	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
65	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
66	#390×C₆₇	C₂²	1	1	yes	characteristic
67	#390×C₆₇	C₂²	1	1	yes	characteristic
68	#390×C₆₇	C₂²	1	1	yes	characteristic
69	#390×C₆₇	C₂²	1	1	yes	characteristic
70	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
71	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
72	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
73	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
74	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
75	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
76	#388×C₆₇	C₂²	1	1	yes	characteristic
77	#388×C₆₇	C₂²	1	1	yes	characteristic
78	#388×C₆₇	C₂²	1	1	yes	characteristic
79	#388×C₆₇	C₂²	1	1	yes	characteristic
80	#388×C₆₇	C₂²	1	1	yes	characteristic
81	#388×C₆₇	C₂²	1	1	yes	characteristic
82	#388×C₆₇	C₂²	1	1	yes	characteristic
83	#388×C₆₇	C₂²	1	1	yes	characteristic
84	#388×C₆₇	C₂²	1	1	yes	characteristic
85	#388×C₆₇	C₂²	1	1	yes	characteristic
86	#388×C₆₇	C₂²	1	1	yes	characteristic
87	#388×C₆₇	C₂²	1	1	yes	characteristic
88	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
89	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
90	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
91	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
92	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
93	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
94	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
95	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
96	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
97	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
98	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
99	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
100	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
101	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
102	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
103	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
104	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
105	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
106	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
107	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
108	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
109	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
112	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
113	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
114	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
115	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
116	#386×C₆₇	C₂²	1	1	yes	characteristic
117	#386×C₆₇	C₂²	1	1	yes	characteristic
118	#386×C₆₇	C₂²	1	1	yes	characteristic
119	#386×C₆₇	C₂²	1	1	yes	characteristic
120	#386×C₆₇	C₂²	1	1	yes	characteristic
121	#386×C₆₇	C₂²	1	1	yes	characteristic
122	#386×C₆₇	C₂²	1	1	yes	characteristic
123	#386×C₆₇	C₂²	1	1	yes	characteristic
124	#386×C₆₇	C₂²	1	1	yes	characteristic
125	#386×C₆₇	C₂²	1	1	yes	characteristic
126	#386×C₆₇	C₂²	1	1	yes	characteristic
127	#386×C₆₇	C₂²	1	1	yes	characteristic
128	#386×C₆₇	C₂²	1	1	yes	characteristic
129	#386×C₆₇	C₂²	1	1	yes	characteristic
130	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
131	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
132	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
138	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
140	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
141	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
142	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
144	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
148	#383×C₆₇	C₂²	1	1	yes	characteristic, complemented
149	#382×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#382×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#381×C₆₇	C₂²	1	1	yes	characteristic
152	#381×C₆₇	C₂²	1	1	yes	characteristic
153	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
154	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
155	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
156	#380×C₆₇	C₂²	1	1	yes	characteristic
157	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
158	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
160	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
161	#379×C₆₇	C₂²	1	1	yes	characteristic
162	#379×C₆₇	C₂²	1	1	yes	characteristic
163	#379×C₆₇	C₂²	1	1	yes	characteristic
164	#379×C₆₇	C₂²	1	1	yes	characteristic
165	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic, complemented
186	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic, complemented
187	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic, complemented
188	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
189	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
190	C₂×#41×C₆₇	—	4	2	no	—
191	C₂×#41×C₆₇	—	4	2	no	—
192	C₂×#41×C₆₇	C₂×C₄	1	8	yes	complemented
193	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₆₇	—	4	2	no	—
195	C₂²×D₄×C₆₇	—	4	2	no	—
196	C₂²×D₄×C₆₇	C₂×C₄	1	8	yes	complemented
197	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
222	#124×C₆₇	C₂×C₄	1	8	yes	complemented
223	#123×C₆₇	C₂×C₄	1	8	yes	complemented
224	#123×C₆₇	C₂×C₄	1	8	yes	complemented
225	C₂²⋊Q₈×C₆₇	C₂×C₄	1	8	yes	complemented
226	#121×C₆₇	C₂×C₄	1	8	yes	complemented
227	#121×C₆₇	C₂×C₄	1	8	yes	complemented
228	#121×C₆₇	C₂×C₄	1	8	yes	complemented
229	#120×C₆₇	C₂×C₄	1	8	yes	complemented
230	#120×C₆₇	C₂×C₄	1	8	yes	complemented
231	C₄×D₄×C₆₇	—	4	2	no	—
232	C₄×D₄×C₆₇	—	4	2	no	—
233	C₄×D₄×C₆₇	—	4	2	no	—
234	C₄×D₄×C₆₇	—	4	2	no	—
235	C₄×D₄×C₆₇	—	4	2	no	—
236	C₄×D₄×C₆₇	—	4	2	no	—
237	C₄×D₄×C₆₇	C₂×C₄	1	8	yes	complemented
238	C₄×D₄×C₆₇	C₂×C₄	1	8	yes	complemented
239	#117×C₆₇	—	4	2	no	—
240	#117×C₆₇	—	4	2	no	—
241	C₂×C₄⋊C₄×C₆₇	—	4	2	no	—
242	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
263	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
264	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
265	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
266	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	8	yes	complemented
267	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	8	yes	complemented
268	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₆₇	—	4	2	no	—
319	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
336	#95×C₆₇	C₂³	1	1	yes	characteristic
337	#95×C₆₇	C₂³	1	1	yes	characteristic
338	#95×C₆₇	C₂³	1	1	yes	characteristic
339	#95×C₆₇	C₂³	1	1	yes	characteristic
340	#95×C₆₇	C₂³	1	1	yes	characteristic
341	#95×C₆₇	C₂³	1	1	yes	characteristic
342	#95×C₆₇	C₂³	1	1	yes	characteristic
343	#95×C₆₇	C₂³	1	1	yes	characteristic
344	#95×C₆₇	C₂³	1	1	yes	characteristic
345	#95×C₆₇	C₂³	1	1	yes	characteristic
346	#95×C₆₇	C₂³	1	1	yes	characteristic
347	#95×C₆₇	C₂³	1	1	yes	characteristic
348	#95×C₆₇	C₂³	1	1	yes	characteristic
349	#95×C₆₇	C₂³	1	1	yes	characteristic
350	#95×C₆₇	C₂³	1	1	yes	characteristic
351	#95×C₆₇	C₂³	1	1	yes	characteristic
352	#95×C₆₇	C₂³	1	1	yes	characteristic
353	#95×C₆₇	C₂³	1	1	yes	characteristic
354	#95×C₆₇	C₂³	1	1	yes	characteristic
355	#95×C₆₇	C₂³	1	1	yes	characteristic
356	#95×C₆₇	C₂³	1	1	yes	characteristic
357	#95×C₆₇	C₂³	1	1	yes	characteristic
358	#95×C₆₇	C₂³	1	1	yes	characteristic
359	#95×C₆₇	C₂³	1	1	yes	characteristic
360	#95×C₆₇	C₂³	1	1	yes	characteristic
361	#95×C₆₇	C₂³	1	1	yes	characteristic
362	#95×C₆₇	C₂³	1	1	yes	characteristic
363	#95×C₆₇	C₂³	1	1	yes	characteristic
364	#95×C₆₇	C₂³	1	1	yes	characteristic
365	#95×C₆₇	C₂³	1	1	yes	characteristic
366	#95×C₆₇	C₂³	1	1	yes	characteristic
367	#95×C₆₇	C₂³	1	1	yes	characteristic
368	#95×C₆₇	C₂³	1	1	yes	characteristic
369	#95×C₆₇	C₂³	1	1	yes	characteristic
370	#95×C₆₇	C₂³	1	1	yes	characteristic
371	#95×C₆₇	C₂³	1	1	yes	characteristic
372	#95×C₆₇	C₂³	1	1	yes	characteristic
373	#95×C₆₇	C₂³	1	1	yes	characteristic
374	#95×C₆₇	C₂³	1	1	yes	characteristic
375	#95×C₆₇	C₂³	1	1	yes	characteristic
376	C₂⁴×C₆₇	—	2	2	no	—
377	C₂⁴×C₆₇	—	2	2	no	—
378	C₂⁴×C₆₇	—	4	1	no	—
379	C₂⁴×C₆₇	—	4	1	no	—
380	C₂⁴×C₆₇	—	4	1	no	—
381	C₂⁴×C₆₇	—	4	1	no	—
382	C₂⁴×C₆₇	—	4	1	no	—
383	C₂⁴×C₆₇	—	4	1	no	—
384	C₂⁴×C₆₇	—	4	1	no	—
385	C₂⁴×C₆₇	—	4	1	no	—
386	C₂⁴×C₆₇	—	4	1	no	—
387	C₂⁴×C₆₇	—	4	1	no	—
388	C₂⁴×C₆₇	C₂²×C₄	1	4	yes	—
389	C₂⁴×C₆₇	C₂²×C₄	1	4	yes	—
390	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
391	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
392	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
395	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
396	#41×C₆₇	—	4	16	no	—
397	C₂×Q₈×C₆₇	—	4	1	no	—
398	C₂×Q₈×C₆₇	—	4	1	no	—
399	C₂×Q₈×C₆₇	C₂²×C₄	1	4	yes	—
400	C₂×D₄×C₆₇	—	2	2	no	—
401	C₂×D₄×C₆₇	—	2	2	no	—
402	C₂×D₄×C₆₇	—	2	2	no	—
403	C₂×D₄×C₆₇	—	2	2	no	—
404	C₂×D₄×C₆₇	—	2	2	no	—
405	C₂×D₄×C₆₇	—	2	2	no	—
406	C₂×D₄×C₆₇	—	4	1	no	—
407	C₂×D₄×C₆₇	—	4	1	no	—
408	C₂×D₄×C₆₇	—	4	1	no	—
409	C₂×D₄×C₆₇	—	4	1	no	—
410	C₂×D₄×C₆₇	—	4	1	no	—
411	C₂×D₄×C₆₇	—	4	1	no	—
412	C₂×D₄×C₆₇	—	4	1	no	—
413	C₂×D₄×C₆₇	—	4	1	no	—
414	C₂×D₄×C₆₇	—	4	1	no	—
415	C₂×D₄×C₆₇	—	4	1	no	—
416	C₂×D₄×C₆₇	—	4	1	no	—
417	C₂×D₄×C₆₇	—	4	1	no	—
418	C₂×D₄×C₆₇	—	4	16	no	—
419	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
420	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
421	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
422	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
423	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
424	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
425	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
426	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
427	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
428	C₂²×C₄×C₆₇	—	2	2	no	—
429	C₂²×C₄×C₆₇	—	2	2	no	—
430	C₂²×C₄×C₆₇	—	2	2	no	—
431	C₂²×C₄×C₆₇	—	2	2	no	—
432	C₂²×C₄×C₆₇	—	2	2	no	—
433	C₂²×C₄×C₆₇	—	2	2	no	—
434	C₂²×C₄×C₆₇	—	2	2	no	—
435	C₂²×C₄×C₆₇	—	2	2	no	—
436	C₂²×C₄×C₆₇	—	4	1	no	—
437	C₂²×C₄×C₆₇	—	4	1	no	—
438	C₂²×C₄×C₆₇	—	4	1	no	—
439	C₂²×C₄×C₆₇	—	4	1	no	—
440	C₂²×C₄×C₆₇	—	4	1	no	—
441	C₂²×C₄×C₆₇	—	4	1	no	—
442	C₂²×C₄×C₆₇	—	4	1	no	—
443	C₂²×C₄×C₆₇	—	4	1	no	—
444	C₂²×C₄×C₆₇	—	4	1	no	—
445	C₂²×C₄×C₆₇	—	4	1	no	—
446	C₂²×C₄×C₆₇	—	4	1	no	—
447	C₂²×C₄×C₆₇	—	4	1	no	—
448	C₂²×C₄×C₆₇	—	4	1	no	—
449	C₂²×C₄×C₆₇	—	4	1	no	—
450	C₂²×C₄×C₆₇	—	4	1	no	—
451	C₂²×C₄×C₆₇	—	4	1	no	—
452	C₂²×C₄×C₆₇	—	4	1	no	—
453	C₂²×C₄×C₆₇	—	4	1	no	—
454	C₂²×C₄×C₆₇	—	4	1	no	—
455	C₂²×C₄×C₆₇	—	4	1	no	—
456	C₂²×C₄×C₆₇	—	4	1	no	—
457	C₂²×C₄×C₆₇	—	4	1	no	—
458	C₂²×C₄×C₆₇	—	4	1	no	—
459	C₂²×C₄×C₆₇	—	4	1	no	—
460	C₂²×C₄×C₆₇	—	4	1	no	—
461	C₂²×C₄×C₆₇	—	4	1	no	—
462	C₂²×C₄×C₆₇	—	4	1	no	—
463	C₂²×C₄×C₆₇	—	4	1	no	—
464	C₂²×C₄×C₆₇	—	4	1	no	—
465	C₂²×C₄×C₆₇	—	4	1	no	—
466	C₂²×C₄×C₆₇	—	4	1	no	—
467	C₂²×C₄×C₆₇	—	4	1	no	—
468	C₂²×C₄×C₆₇	—	4	1	no	—
469	C₂²×C₄×C₆₇	—	4	1	no	—
470	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
471	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
472	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
473	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
474	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
475	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
476	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
501	C₄⋊C₄×C₆₇	—	2	2	no	—
502	C₄⋊C₄×C₆₇	—	2	2	no	—
503	C₄⋊C₄×C₆₇	—	4	1	no	—
504	C₄⋊C₄×C₆₇	—	4	1	no	—
505	C₄⋊C₄×C₆₇	—	4	1	no	—
506	C₄⋊C₄×C₆₇	—	4	1	no	—
507	C₄⋊C₄×C₆₇	—	4	1	no	—
508	C₄⋊C₄×C₆₇	—	4	1	no	—
509	C₄⋊C₄×C₆₇	—	4	1	no	—
510	C₄⋊C₄×C₆₇	—	4	1	no	—
511	C₄⋊C₄×C₆₇	—	4	1	no	—
512	C₄⋊C₄×C₆₇	—	4	1	no	—
513	C₄⋊C₄×C₆₇	—	4	1	no	—
514	C₄⋊C₄×C₆₇	—	4	1	no	—
515	C₄⋊C₄×C₆₇	—	4	1	no	—
516	C₄⋊C₄×C₆₇	—	4	1	no	—
517	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
518	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
519	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
520	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
521	C₂²⋊C₄×C₆₇	—	2	2	no	—
522	C₂²⋊C₄×C₆₇	—	2	2	no	—
523	C₂²⋊C₄×C₆₇	—	2	2	no	—
524	C₂²⋊C₄×C₆₇	—	2	2	no	—
525	C₂²⋊C₄×C₆₇	—	2	2	no	—
526	C₂²⋊C₄×C₆₇	—	2	2	no	—
527	C₂²⋊C₄×C₆₇	—	2	2	no	—
528	C₂²⋊C₄×C₆₇	—	2	2	no	—
529	C₂²⋊C₄×C₆₇	—	4	1	no	—
530	C₂²⋊C₄×C₆₇	—	4	1	no	—
531	C₂²⋊C₄×C₆₇	—	4	1	no	—
532	C₂²⋊C₄×C₆₇	—	4	1	no	—
533	C₂²⋊C₄×C₆₇	—	4	1	no	—
534	C₂²⋊C₄×C₆₇	—	4	1	no	—
535	C₂²⋊C₄×C₆₇	—	4	1	no	—
536	C₂²⋊C₄×C₆₇	—	4	1	no	—
537	C₂²⋊C₄×C₆₇	—	4	1	no	—
538	C₂²⋊C₄×C₆₇	—	4	1	no	—
539	C₂²⋊C₄×C₆₇	—	4	1	no	—
540	C₂²⋊C₄×C₆₇	—	4	1	no	—
541	C₂²⋊C₄×C₆₇	—	4	1	no	—
542	C₂²⋊C₄×C₆₇	—	4	1	no	—
543	C₂²⋊C₄×C₆₇	—	4	1	no	—
544	C₂²⋊C₄×C₆₇	—	4	1	no	—
545	C₂²⋊C₄×C₆₇	—	4	1	no	—
546	C₂²⋊C₄×C₆₇	—	4	1	no	—
547	C₂²⋊C₄×C₆₇	—	4	1	no	—
548	C₂²⋊C₄×C₆₇	—	4	1	no	—
549	C₂²⋊C₄×C₆₇	—	4	1	no	—
550	C₂²⋊C₄×C₆₇	—	4	1	no	—
551	C₂²⋊C₄×C₆₇	—	4	1	no	—
552	C₂²⋊C₄×C₆₇	—	4	1	no	—
553	C₂²⋊C₄×C₆₇	—	4	1	no	—
554	C₂²⋊C₄×C₆₇	—	4	1	no	—
555	C₂²⋊C₄×C₆₇	—	4	1	no	—
556	C₂²⋊C₄×C₆₇	—	4	1	no	—
557	C₂²⋊C₄×C₆₇	—	4	1	no	—
558	C₂²⋊C₄×C₆₇	—	4	1	no	—
559	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
560	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
561	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
562	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
563	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
564	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
565	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
566	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
567	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
568	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
569	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
570	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
571	C₄²×C₆₇	—	2	2	no	—
572	C₄²×C₆₇	—	4	1	no	—
573	C₄²×C₆₇	—	4	1	no	—
574	C₄²×C₆₇	—	4	1	no	—
575	C₄²×C₆₇	—	4	1	no	—
576	C₄²×C₆₇	—	4	1	no	—
577	C₄²×C₆₇	—	4	1	no	—
578	C₄²×C₆₇	—	4	1	no	—
579	C₄²×C₆₇	—	4	1	no	—
580	C₄²×C₆₇	—	4	1	no	—
581	C₄²×C₆₇	—	4	1	no	—
582	C₄²×C₆₇	—	4	1	no	—
583	C₄²×C₆₇	—	4	1	no	—
584	C₄²×C₆₇	—	4	1	no	—
585	C₄²×C₆₇	—	4	1	no	—
586	C₄²×C₆₇	—	4	1	no	—
587	C₄²×C₆₇	C₂²×C₄	1	4	yes	—
588	C₂³×C₆₇	—	2	1	no	—
589	C₂³×C₆₇	—	2	1	no	—
590	C₂³×C₆₇	—	2	1	no	—
591	C₂³×C₆₇	—	2	1	no	—
592	C₂³×C₆₇	—	2	1	no	—
593	C₂³×C₆₇	—	2	1	no	—
594	C₂³×C₆₇	—	2	1	no	—
595	C₂³×C₆₇	—	2	1	no	—
596	C₂³×C₆₇	—	2	1	no	—
597	C₂³×C₆₇	—	2	1	no	—
598	C₂³×C₆₇	—	2	1	no	—
599	C₂³×C₆₇	—	2	1	no	—
600	C₂³×C₆₇	—	2	1	no	—
601	C₂³×C₆₇	—	2	1	no	—
602	C₂³×C₆₇	—	2	1	no	—
603	C₂³×C₆₇	—	2	1	no	—
604	C₂³×C₆₇	—	2	1	no	—
605	C₂³×C₆₇	—	2	1	no	—
606	C₂³×C₆₇	—	2	1	no	—
607	C₂³×C₆₇	—	2	1	no	—
608	C₂³×C₆₇	—	2	1	no	—
609	C₂³×C₆₇	—	2	1	no	—
610	C₂³×C₆₇	—	2	1	no	—
611	C₂³×C₆₇	—	2	1	no	—
612	C₂³×C₆₇	—	2	1	no	—
613	C₂³×C₆₇	—	2	1	no	—
614	C₂³×C₆₇	—	2	1	no	—
615	C₂³×C₆₇	—	2	1	no	—
616	C₂³×C₆₇	—	2	1	no	—
617	C₂³×C₆₇	—	2	1	no	—
618	C₂³×C₆₇	—	2	1	no	—
619	C₂³×C₆₇	—	2	1	no	—
620	C₂³×C₆₇	—	2	1	no	—
621	C₂³×C₆₇	—	2	1	no	—
622	C₂³×C₆₇	—	2	8	no	—
623	C₂³×C₆₇	—	4	4	no	—
624	C₂³×C₆₇	—	4	4	no	—
625	C₂³×C₆₇	—	4	4	no	—
626	C₂³×C₆₇	—	4	4	no	—
627	C₂³×C₆₇	—	4	4	no	—
628	C₂³×C₆₇	—	8	2	no	—
629	C₂³×C₆₇	—	8	2	no	—
630	C₂³×C₆₇	—	8	2	no	—
631	C₂³×C₆₇	—	8	2	no	—
632	C₂³×C₆₇	—	8	2	no	—
633	C₂³×C₆₇	—	8	2	no	—
634	C₂³×C₆₇	—	8	2	no	—
635	C₂³×C₆₇	—	8	2	no	—
636	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
637	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
638	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
639	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
640	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
641	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
642	C₂³×C₆₇	H(5,𝔽₂)	1	2	yes	—
643	C₂³×C₆₇	H(5,𝔽₂)	1	2	yes	—
644	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
645	Q₈×C₆₇	—	4	4	no	—
646	D₄×C₆₇	—	2	8	no	—
647	D₄×C₆₇	—	2	8	no	—
648	D₄×C₆₇	—	2	8	no	—
649	D₄×C₆₇	—	4	4	no	—
650	D₄×C₆₇	—	4	4	no	—
651	D₄×C₆₇	—	4	4	no	—
652	D₄×C₆₇	—	4	4	no	—
653	D₄×C₆₇	—	4	4	no	—
654	D₄×C₆₇	—	4	4	no	—
655	C₂×C₄×C₆₇	—	2	8	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	—	2	1	no	—
663	C₂×C₄×C₆₇	—	2	1	no	—
664	C₂×C₄×C₆₇	—	2	1	no	—
665	C₂×C₄×C₆₇	—	2	1	no	—
666	C₂×C₄×C₆₇	—	2	1	no	—
667	C₂×C₄×C₆₇	—	2	1	no	—
668	C₂×C₄×C₆₇	—	2	1	no	—
669	C₂×C₄×C₆₇	—	2	1	no	—
670	C₂×C₄×C₆₇	—	2	1	no	—
671	C₂×C₄×C₆₇	—	2	1	no	—
672	C₂×C₄×C₆₇	—	2	1	no	—
673	C₂×C₄×C₆₇	—	2	1	no	—
674	C₂×C₄×C₆₇	—	2	1	no	—
675	C₂×C₄×C₆₇	—	2	1	no	—
676	C₂×C₄×C₆₇	—	2	1	no	—
677	C₂×C₄×C₆₇	—	2	1	no	—
678	C₂×C₄×C₆₇	—	2	1	no	—
679	C₂×C₄×C₆₇	—	2	1	no	—
680	C₂×C₄×C₆₇	—	2	1	no	—
681	C₂×C₄×C₆₇	—	2	1	no	—
682	C₂×C₄×C₆₇	—	2	1	no	—
683	C₂×C₄×C₆₇	—	2	1	no	—
684	C₂×C₄×C₆₇	—	2	1	no	—
685	C₂×C₄×C₆₇	—	2	1	no	—
686	C₂×C₄×C₆₇	—	2	1	no	—
687	C₂×C₄×C₆₇	—	2	1	no	—
688	C₂×C₄×C₆₇	—	2	1	no	—
689	C₂×C₄×C₆₇	—	2	1	no	—
690	C₂×C₄×C₆₇	—	2	1	no	—
691	C₂×C₄×C₆₇	—	2	1	no	—
692	C₂×C₄×C₆₇	—	2	1	no	—
693	C₂×C₄×C₆₇	—	2	1	no	—
694	C₂×C₄×C₆₇	—	2	1	no	—
695	C₂×C₄×C₆₇	—	2	1	no	—
696	C₂×C₄×C₆₇	—	2	1	no	—
697	C₂×C₄×C₆₇	—	2	1	no	—
698	C₂×C₄×C₆₇	—	2	1	no	—
699	C₂×C₄×C₆₇	—	2	1	no	—
700	C₂×C₄×C₆₇	—	2	1	no	—
701	C₂×C₄×C₆₇	—	2	1	no	—
702	C₂×C₄×C₆₇	—	2	1	no	—
703	C₂×C₄×C₆₇	—	2	1	no	—
704	C₂×C₄×C₆₇	—	2	1	no	—
705	C₂×C₄×C₆₇	—	2	1	no	—
706	C₂×C₄×C₆₇	—	2	1	no	—
707	C₂×C₄×C₆₇	—	2	1	no	—
708	C₂×C₄×C₆₇	—	2	1	no	—
709	C₂×C₄×C₆₇	—	2	1	no	—
710	C₂×C₄×C₆₇	—	2	1	no	—
711	C₂×C₄×C₆₇	—	2	1	no	—
712	C₂×C₄×C₆₇	—	2	1	no	—
713	C₂×C₄×C₆₇	—	2	1	no	—
714	C₂×C₄×C₆₇	—	2	1	no	—
715	C₂×C₄×C₆₇	—	2	1	no	—
716	C₂×C₄×C₆₇	—	2	1	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	—	4	4	no	—
722	C₂×C₄×C₆₇	—	4	4	no	—
723	C₂×C₄×C₆₇	—	4	4	no	—
724	C₂×C₄×C₆₇	—	4	4	no	—
725	C₂×C₄×C₆₇	—	4	4	no	—
726	C₂×C₄×C₆₇	—	4	4	no	—
727	C₂×C₄×C₆₇	—	4	4	no	—
728	C₂×C₄×C₆₇	—	8	2	no	—
729	C₂×C₄×C₆₇	—	8	2	no	—
730	C₂×C₄×C₆₇	—	8	2	no	—
731	C₂×C₄×C₆₇	—	8	2	no	—
732	C₂×C₄×C₆₇	—	8	2	no	—
733	C₂×C₄×C₆₇	—	8	2	no	—
734	C₂×C₄×C₆₇	—	8	2	no	—
735	C₂×C₄×C₆₇	—	8	2	no	—
736	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
737	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
738	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
739	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
740	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
741	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
742	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
743	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
744	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
745	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
746	C₂²×C₆₇	—	2	2	no	—
747	C₂²×C₆₇	—	2	2	no	—
748	C₂²×C₆₇	—	2	2	no	—
749	C₂²×C₆₇	—	2	2	no	—
750	C₂²×C₆₇	—	2	2	no	—
751	C₂²×C₆₇	—	2	2	no	—
752	C₂²×C₆₇	—	2	2	no	—
753	C₂²×C₆₇	—	2	2	no	—
754	C₂²×C₆₇	—	2	2	no	—
755	C₂²×C₆₇	—	2	2	no	—
756	C₂²×C₆₇	—	2	2	no	—
757	C₂²×C₆₇	—	2	2	no	—
758	C₂²×C₆₇	—	2	2	no	—
759	C₂²×C₆₇	—	2	2	no	—
760	C₂²×C₆₇	—	2	2	no	—
761	C₂²×C₆₇	—	2	2	no	—
762	C₂²×C₆₇	—	2	2	no	—
763	C₂²×C₆₇	—	2	2	no	—
764	C₂²×C₆₇	—	2	2	no	—
765	C₂²×C₆₇	—	2	2	no	—
766	C₂²×C₆₇	—	2	2	no	—
767	C₂²×C₆₇	—	4	1	no	—
768	C₂²×C₆₇	—	4	1	no	—
769	C₂²×C₆₇	—	4	1	no	—
770	C₂²×C₆₇	—	4	1	no	—
771	C₂²×C₆₇	—	4	1	no	—
772	C₂²×C₆₇	—	4	1	no	—
773	C₂²×C₆₇	—	4	1	no	—
774	C₂²×C₆₇	—	4	1	no	—
775	C₂²×C₆₇	—	4	1	no	—
776	C₂²×C₆₇	—	4	1	no	—
777	C₂²×C₆₇	—	4	1	no	—
778	C₂²×C₆₇	—	4	1	no	—
779	C₂²×C₆₇	—	4	1	no	—
780	C₂²×C₆₇	—	4	1	no	—
781	C₂²×C₆₇	—	4	1	no	—
782	C₂²×C₆₇	—	4	1	no	—
783	C₂²×C₆₇	—	4	1	no	—
784	C₂²×C₆₇	—	4	1	no	—
785	C₂²×C₆₇	—	4	1	no	—
786	C₂²×C₆₇	—	4	1	no	—
787	C₂²×C₆₇	—	8	8	no	—
788	C₂²×C₆₇	—	8	8	no	—
789	C₂²×C₆₇	#518	1	4	yes	—
790	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
791	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
792	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
793	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
794	C₂²×C₆₇	#585	1	1	yes	characteristic
795	C₂²×C₆₇	#585	1	1	yes	characteristic
796	C₂²×C₆₇	#585	1	1	yes	characteristic
797	C₄×C₆₇	—	2	2	no	—
798	C₄×C₆₇	—	2	2	no	—
799	C₄×C₆₇	—	2	2	no	—
800	C₄×C₆₇	—	2	2	no	—
801	C₄×C₆₇	—	2	2	no	—
802	C₄×C₆₇	—	2	2	no	—
803	C₄×C₆₇	—	2	2	no	—
804	C₄×C₆₇	—	2	2	no	—
805	C₄×C₆₇	—	2	2	no	—
806	C₄×C₆₇	—	2	2	no	—
807	C₄×C₆₇	—	4	1	no	—
808	C₄×C₆₇	—	4	1	no	—
809	C₄×C₆₇	—	4	1	no	—
810	C₄×C₆₇	—	4	1	no	—
811	C₄×C₆₇	—	4	1	no	—
812	C₄×C₆₇	—	4	1	no	—
813	C₄×C₆₇	—	4	1	no	—
814	C₄×C₆₇	—	4	1	no	—
815	C₄×C₆₇	—	4	1	no	—
816	C₄×C₆₇	—	4	1	no	—
817	C₄×C₆₇	—	4	1	no	—
818	C₄×C₆₇	—	4	1	no	—
819	C₄×C₆₇	—	4	1	no	—
820	C₄×C₆₇	—	4	1	no	—
821	C₄×C₆₇	—	4	1	no	—
822	#34470	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
823	C₂×C₆₇	—	2	4	no	—
824	C₂×C₆₇	—	4	2	no	—
825	C₂×C₆₇	—	4	2	no	—
826	C₂×C₆₇	—	4	2	no	—
827	C₂×C₆₇	—	4	2	no	—
828	C₂×C₆₇	—	4	2	no	—
829	C₂×C₆₇	C₂×#518	1	1	yes	characteristic
830	C₂×C₆₇	#3428	1	1	yes	characteristic
831	C₂×C₆₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
832	C₂×C₆₇	#3533	1	1	yes	characteristic
833	C₂×C₆₇	#3534	1	1	yes	characteristic
834	C₂×C₆₇	#3558	1	1	yes	characteristic
835	C₂×C₆₇	#3560	1	1	yes	characteristic
836	C₂×#546	C₂×C₆₇	1	1	yes	characteristic
837	#2379	C₂×C₆₇	1	1	yes	characteristic, complemented
838	#2378	C₂×C₆₇	1	1	yes	characteristic, complemented
839	#2377	C₂×C₆₇	1	1	yes	characteristic, complemented
840	#2375	C₂×C₆₇	1	1	yes	characteristic, complemented
841	#2374	C₂×C₆₇	1	1	yes	characteristic, complemented
842	#2364	C₂×C₆₇	1	1	yes	characteristic, complemented
843	#2361	C₂×C₆₇	1	1	yes	characteristic, complemented
844	#2359	C₂×C₆₇	1	1	yes	characteristic, complemented
845	#2358	C₂×C₆₇	1	1	yes	characteristic, complemented
846	#2357	C₂×C₆₇	1	1	yes	characteristic, complemented
847	#2352	C₂×C₆₇	1	1	yes	characteristic, complemented
848	#2342	C₂×C₆₇	1	1	yes	characteristic, complemented
849	#2342	C₂×C₆₇	1	1	yes	characteristic, complemented
850	#2339	C₂×C₆₇	1	1	yes	characteristic, complemented
851	D₄×C₂²⋊C₄	C₂×C₆₇	1	1	yes	characteristic, complemented
852	#2337	C₂×C₆₇	1	1	yes	characteristic, complemented
853	#2335	C₂×C₆₇	1	1	yes	characteristic, complemented
854	#2333	C₂×C₆₇	1	1	yes	characteristic, complemented
855	#2332	C₂×C₆₇	1	1	yes	characteristic, complemented
856	#2325	C₂×C₆₇	1	1	yes	characteristic, complemented
857	#2324	C₂×C₆₇	1	1	yes	characteristic, complemented
858	#2321	C₂×C₆₇	1	1	yes	characteristic, complemented
859	#2321	C₂×C₆₇	1	1	yes	characteristic, complemented
860	#2318	C₂×C₆₇	1	1	yes	characteristic, complemented
861	#2318	C₂×C₆₇	1	1	yes	characteristic, complemented
862	#2312	C₂×C₆₇	1	1	yes	characteristic, complemented
863	#2308	C₂×C₆₇	1	1	yes	characteristic, complemented
864	C₄×#123	C₂×C₆₇	1	1	yes	characteristic, complemented
865	#2297	C₂×C₆₇	1	1	yes	characteristic, complemented
866	C₂×#388	C₂×C₆₇	1	1	yes	characteristic, complemented
867	C₆₇	#34470	1	1	yes	characteristic, direct product factor, Sylow
868	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
869	C₂³×D₄	C₂²×C₆₇	1	1	yes	characteristic
870	#546	C₄×C₆₇	1	16	yes	complemented
871	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic
872	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
873	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
874	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
875	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
876	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
877	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
878	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
879	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
880	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
881	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
882	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
883	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
884	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
885	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
886	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
887	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
888	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic, complemented
889	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic, complemented
890	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
891	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
892	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
893	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
894	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
895	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
896	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
897	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
898	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
899	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
900	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
901	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
902	#390	C₂²×C₆₇	1	1	yes	characteristic
903	#390	C₂²×C₆₇	1	1	yes	characteristic
904	#390	C₂²×C₆₇	1	1	yes	characteristic
905	#390	C₂²×C₆₇	1	1	yes	characteristic
906	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
907	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
908	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
909	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
910	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
911	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
912	#388	C₂²×C₆₇	1	1	yes	characteristic
913	#388	C₂²×C₆₇	1	1	yes	characteristic
914	#388	C₂²×C₆₇	1	1	yes	characteristic
915	#388	C₂²×C₆₇	1	1	yes	characteristic
916	#388	C₂²×C₆₇	1	1	yes	characteristic
917	#388	C₂²×C₆₇	1	1	yes	characteristic
918	#388	C₂²×C₆₇	1	1	yes	characteristic
919	#388	C₂²×C₆₇	1	1	yes	characteristic
920	#388	C₂²×C₆₇	1	1	yes	characteristic
921	#388	C₂²×C₆₇	1	1	yes	characteristic
922	#388	C₂²×C₆₇	1	1	yes	characteristic
923	#388	C₂²×C₆₇	1	1	yes	characteristic
924	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
925	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
926	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
927	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
928	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
929	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
930	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
931	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
932	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
933	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
934	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
935	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
936	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
937	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
938	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
939	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
940	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
941	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
942	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
943	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
944	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
945	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
946	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
947	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
948	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
949	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
950	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
951	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
952	#386	C₂²×C₆₇	1	1	yes	characteristic
953	#386	C₂²×C₆₇	1	1	yes	characteristic
954	#386	C₂²×C₆₇	1	1	yes	characteristic
955	#386	C₂²×C₆₇	1	1	yes	characteristic
956	#386	C₂²×C₆₇	1	1	yes	characteristic
957	#386	C₂²×C₆₇	1	1	yes	characteristic
958	#386	C₂²×C₆₇	1	1	yes	characteristic
959	#386	C₂²×C₆₇	1	1	yes	characteristic
960	#386	C₂²×C₆₇	1	1	yes	characteristic
961	#386	C₂²×C₆₇	1	1	yes	characteristic
962	#386	C₂²×C₆₇	1	1	yes	characteristic
963	#386	C₂²×C₆₇	1	1	yes	characteristic
964	#386	C₂²×C₆₇	1	1	yes	characteristic
965	#386	C₂²×C₆₇	1	1	yes	characteristic
966	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
967	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
968	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
969	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
970	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
971	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
972	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
973	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
974	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
975	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
976	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
977	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
978	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
979	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
980	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
981	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
982	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
983	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
984	#383	C₂²×C₆₇	1	1	yes	characteristic, complemented
985	#382	C₂²×C₆₇	1	1	yes	characteristic, complemented
986	#382	C₂²×C₆₇	1	1	yes	characteristic, complemented
987	#381	C₂²×C₆₇	1	1	yes	characteristic
988	#381	C₂²×C₆₇	1	1	yes	characteristic
989	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
990	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
991	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
992	#380	C₂²×C₆₇	1	1	yes	characteristic
993	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
994	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
995	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
996	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
997	#379	C₂²×C₆₇	1	1	yes	characteristic
998	#379	C₂²×C₆₇	1	1	yes	characteristic
999	#379	C₂²×C₆₇	1	1	yes	characteristic
1000	#379	C₂²×C₆₇	1	1	yes	characteristic
1001	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1002	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1003	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1004	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1005	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1006	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
1007	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1008	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1009	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1010	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1011	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1012	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1013	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1014	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1015	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1016	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1017	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1018	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1019	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1020	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1021	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1022	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1023	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1024	C₂⁵	C₂³×C₆₇	1	1	yes	characteristic
1025	C₂⁵	C₂³×C₆₇	1	1	yes	characteristic
1026	C₂×#41	—	4	2	no	—
1027	C₂×#41	—	4	2	no	—
1028	C₂×#41	C₂×C₄×C₆₇	1	8	yes	complemented
1029	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1030	C₂²×D₄	—	4	2	no	—
1031	C₂²×D₄	—	4	2	no	—
1032	C₂²×D₄	C₂×C₄×C₆₇	1	8	yes	complemented
1033	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1034	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1035	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1036	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1037	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1038	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1039	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1040	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1041	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1042	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1043	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1044	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1045	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1046	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1047	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1048	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1049	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1050	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1051	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1052	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1053	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1054	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1055	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1056	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1057	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1058	#124	C₂×C₄×C₆₇	1	8	yes	complemented
1059	#123	C₂×C₄×C₆₇	1	8	yes	complemented
1060	#123	C₂×C₄×C₆₇	1	8	yes	complemented
1061	C₂²⋊Q₈	C₂×C₄×C₆₇	1	8	yes	complemented
1062	#121	C₂×C₄×C₆₇	1	8	yes	complemented
1063	#121	C₂×C₄×C₆₇	1	8	yes	complemented
1064	#121	C₂×C₄×C₆₇	1	8	yes	complemented
1065	#120	C₂×C₄×C₆₇	1	8	yes	complemented
1066	#120	C₂×C₄×C₆₇	1	8	yes	complemented
1067	C₄×D₄	—	4	2	no	—
1068	C₄×D₄	—	4	2	no	—
1069	C₄×D₄	—	4	2	no	—
1070	C₄×D₄	—	4	2	no	—
1071	C₄×D₄	—	4	2	no	—
1072	C₄×D₄	—	4	2	no	—
1073	C₄×D₄	C₂×C₄×C₆₇	1	8	yes	complemented
1074	C₄×D₄	C₂×C₄×C₆₇	1	8	yes	complemented
1075	#117	—	4	2	no	—
1076	#117	—	4	2	no	—
1077	C₂×C₄⋊C₄	—	4	2	no	—
1078	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1081	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1082	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1084	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1086	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1089	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1090	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	—	4	2	no	—
1099	C₂×C₂²⋊C₄	—	4	2	no	—
1100	C₂×C₂²⋊C₄	—	4	2	no	—
1101	C₂×C₂²⋊C₄	—	4	2	no	—
1102	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	8	yes	complemented
1103	C₂×C₂²⋊C₄	C₂×C₄×C₆₇	1	8	yes	complemented
1104	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1125	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1154	C₂×C₄²	—	4	2	no	—
1155	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1156	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1157	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1158	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1159	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1160	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1161	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1162	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1163	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1164	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1165	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1166	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1167	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1168	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1169	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1170	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1171	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1172	#95	C₂³×C₆₇	1	1	yes	characteristic
1173	#95	C₂³×C₆₇	1	1	yes	characteristic
1174	#95	C₂³×C₆₇	1	1	yes	characteristic
1175	#95	C₂³×C₆₇	1	1	yes	characteristic
1176	#95	C₂³×C₆₇	1	1	yes	characteristic
1177	#95	C₂³×C₆₇	1	1	yes	characteristic
1178	#95	C₂³×C₆₇	1	1	yes	characteristic
1179	#95	C₂³×C₆₇	1	1	yes	characteristic
1180	#95	C₂³×C₆₇	1	1	yes	characteristic
1181	#95	C₂³×C₆₇	1	1	yes	characteristic
1182	#95	C₂³×C₆₇	1	1	yes	characteristic
1183	#95	C₂³×C₆₇	1	1	yes	characteristic
1184	#95	C₂³×C₆₇	1	1	yes	characteristic
1185	#95	C₂³×C₆₇	1	1	yes	characteristic
1186	#95	C₂³×C₆₇	1	1	yes	characteristic
1187	#95	C₂³×C₆₇	1	1	yes	characteristic
1188	#95	C₂³×C₆₇	1	1	yes	characteristic
1189	#95	C₂³×C₆₇	1	1	yes	characteristic
1190	#95	C₂³×C₆₇	1	1	yes	characteristic
1191	#95	C₂³×C₆₇	1	1	yes	characteristic
1192	#95	C₂³×C₆₇	1	1	yes	characteristic
1193	#95	C₂³×C₆₇	1	1	yes	characteristic
1194	#95	C₂³×C₆₇	1	1	yes	characteristic
1195	#95	C₂³×C₆₇	1	1	yes	characteristic
1196	#95	C₂³×C₆₇	1	1	yes	characteristic
1197	#95	C₂³×C₆₇	1	1	yes	characteristic
1198	#95	C₂³×C₆₇	1	1	yes	characteristic
1199	#95	C₂³×C₆₇	1	1	yes	characteristic
1200	#95	C₂³×C₆₇	1	1	yes	characteristic
1201	#95	C₂³×C₆₇	1	1	yes	characteristic
1202	#95	C₂³×C₆₇	1	1	yes	characteristic
1203	#95	C₂³×C₆₇	1	1	yes	characteristic
1204	#95	C₂³×C₆₇	1	1	yes	characteristic
1205	#95	C₂³×C₆₇	1	1	yes	characteristic
1206	#95	C₂³×C₆₇	1	1	yes	characteristic
1207	#95	C₂³×C₆₇	1	1	yes	characteristic
1208	#95	C₂³×C₆₇	1	1	yes	characteristic
1209	#95	C₂³×C₆₇	1	1	yes	characteristic
1210	#95	C₂³×C₆₇	1	1	yes	characteristic
1211	#95	C₂³×C₆₇	1	1	yes	characteristic
1212	C₂⁴	—	2	2	no	—
1213	C₂⁴	—	2	2	no	—
1214	C₂⁴	—	4	1	no	—
1215	C₂⁴	—	4	1	no	—
1216	C₂⁴	—	4	1	no	—
1217	C₂⁴	—	4	1	no	—
1218	C₂⁴	—	4	1	no	—
1219	C₂⁴	—	4	1	no	—
1220	C₂⁴	—	4	1	no	—
1221	C₂⁴	—	4	1	no	—
1222	C₂⁴	—	4	1	no	—
1223	C₂⁴	—	4	1	no	—
1224	C₂⁴	C₂²×C₄×C₆₇	1	4	yes	—
1225	C₂⁴	C₂²×C₄×C₆₇	1	4	yes	—
1226	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1227	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1228	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1229	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1230	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1231	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1232	#41	—	4	16	no	—
1233	C₂×Q₈	—	4	1	no	—
1234	C₂×Q₈	—	4	1	no	—
1235	C₂×Q₈	C₂²×C₄×C₆₇	1	4	yes	—
1236	C₂×D₄	—	2	2	no	—
1237	C₂×D₄	—	2	2	no	—
1238	C₂×D₄	—	2	2	no	—
1239	C₂×D₄	—	2	2	no	—
1240	C₂×D₄	—	2	2	no	—
1241	C₂×D₄	—	2	2	no	—
1242	C₂×D₄	—	4	1	no	—
1243	C₂×D₄	—	4	1	no	—
1244	C₂×D₄	—	4	1	no	—
1245	C₂×D₄	—	4	1	no	—
1246	C₂×D₄	—	4	1	no	—
1247	C₂×D₄	—	4	1	no	—
1248	C₂×D₄	—	4	1	no	—
1249	C₂×D₄	—	4	1	no	—
1250	C₂×D₄	—	4	1	no	—
1251	C₂×D₄	—	4	1	no	—
1252	C₂×D₄	—	4	1	no	—
1253	C₂×D₄	—	4	1	no	—
1254	C₂×D₄	—	4	16	no	—
1255	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1256	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1257	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1258	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1259	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1260	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1261	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1262	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1263	C₂×D₄	C₂²×C₄×C₆₇	1	4	yes	—
1264	C₂²×C₄	—	2	2	no	—
1265	C₂²×C₄	—	2	2	no	—
1266	C₂²×C₄	—	2	2	no	—
1267	C₂²×C₄	—	2	2	no	—
1268	C₂²×C₄	—	2	2	no	—
1269	C₂²×C₄	—	2	2	no	—
1270	C₂²×C₄	—	2	2	no	—
1271	C₂²×C₄	—	2	2	no	—
1272	C₂²×C₄	—	4	1	no	—
1273	C₂²×C₄	—	4	1	no	—
1274	C₂²×C₄	—	4	1	no	—
1275	C₂²×C₄	—	4	1	no	—
1276	C₂²×C₄	—	4	1	no	—
1277	C₂²×C₄	—	4	1	no	—
1278	C₂²×C₄	—	4	1	no	—
1279	C₂²×C₄	—	4	1	no	—
1280	C₂²×C₄	—	4	1	no	—
1281	C₂²×C₄	—	4	1	no	—
1282	C₂²×C₄	—	4	1	no	—
1283	C₂²×C₄	—	4	1	no	—
1284	C₂²×C₄	—	4	1	no	—
1285	C₂²×C₄	—	4	1	no	—
1286	C₂²×C₄	—	4	1	no	—
1287	C₂²×C₄	—	4	1	no	—
1288	C₂²×C₄	—	4	1	no	—
1289	C₂²×C₄	—	4	1	no	—
1290	C₂²×C₄	—	4	1	no	—
1291	C₂²×C₄	—	4	1	no	—
1292	C₂²×C₄	—	4	1	no	—
1293	C₂²×C₄	—	4	1	no	—
1294	C₂²×C₄	—	4	1	no	—
1295	C₂²×C₄	—	4	1	no	—
1296	C₂²×C₄	—	4	1	no	—
1297	C₂²×C₄	—	4	1	no	—
1298	C₂²×C₄	—	4	1	no	—
1299	C₂²×C₄	—	4	1	no	—
1300	C₂²×C₄	—	4	1	no	—
1301	C₂²×C₄	—	4	1	no	—
1302	C₂²×C₄	—	4	1	no	—
1303	C₂²×C₄	—	4	1	no	—
1304	C₂²×C₄	—	4	1	no	—
1305	C₂²×C₄	—	4	1	no	—
1306	C₂²×C₄	C₂²×C₄×C₆₇	1	4	yes	—
1307	C₂²×C₄	C₂²×C₄×C₆₇	1	4	yes	—
1308	C₂²×C₄	C₂²×C₄×C₆₇	1	4	yes	—
1309	C₂²×C₄	C₂²×C₄×C₆₇	1	4	yes	—
1310	C₂²×C₄	C₂²×C₄×C₆₇	1	4	yes	—
1311	C₂²×C₄	C₂²×C₄×C₆₇	1	4	yes	—
1312	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1318	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1320	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1322	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1323	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1324	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1325	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1326	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1327	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1330	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1332	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1333	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1334	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1335	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1337	C₄⋊C₄	—	2	2	no	—
1338	C₄⋊C₄	—	2	2	no	—
1339	C₄⋊C₄	—	4	1	no	—
1340	C₄⋊C₄	—	4	1	no	—
1341	C₄⋊C₄	—	4	1	no	—
1342	C₄⋊C₄	—	4	1	no	—
1343	C₄⋊C₄	—	4	1	no	—
1344	C₄⋊C₄	—	4	1	no	—
1345	C₄⋊C₄	—	4	1	no	—
1346	C₄⋊C₄	—	4	1	no	—
1347	C₄⋊C₄	—	4	1	no	—
1348	C₄⋊C₄	—	4	1	no	—
1349	C₄⋊C₄	—	4	1	no	—
1350	C₄⋊C₄	—	4	1	no	—
1351	C₄⋊C₄	—	4	1	no	—
1352	C₄⋊C₄	—	4	1	no	—
1353	C₄⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1354	C₄⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1355	C₄⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1356	C₄⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1357	C₂²⋊C₄	—	2	2	no	—
1358	C₂²⋊C₄	—	2	2	no	—
1359	C₂²⋊C₄	—	2	2	no	—
1360	C₂²⋊C₄	—	2	2	no	—
1361	C₂²⋊C₄	—	2	2	no	—
1362	C₂²⋊C₄	—	2	2	no	—
1363	C₂²⋊C₄	—	2	2	no	—
1364	C₂²⋊C₄	—	2	2	no	—
1365	C₂²⋊C₄	—	4	1	no	—
1366	C₂²⋊C₄	—	4	1	no	—
1367	C₂²⋊C₄	—	4	1	no	—
1368	C₂²⋊C₄	—	4	1	no	—
1369	C₂²⋊C₄	—	4	1	no	—
1370	C₂²⋊C₄	—	4	1	no	—
1371	C₂²⋊C₄	—	4	1	no	—
1372	C₂²⋊C₄	—	4	1	no	—
1373	C₂²⋊C₄	—	4	1	no	—
1374	C₂²⋊C₄	—	4	1	no	—
1375	C₂²⋊C₄	—	4	1	no	—
1376	C₂²⋊C₄	—	4	1	no	—
1377	C₂²⋊C₄	—	4	1	no	—
1378	C₂²⋊C₄	—	4	1	no	—
1379	C₂²⋊C₄	—	4	1	no	—
1380	C₂²⋊C₄	—	4	1	no	—
1381	C₂²⋊C₄	—	4	1	no	—
1382	C₂²⋊C₄	—	4	1	no	—
1383	C₂²⋊C₄	—	4	1	no	—
1384	C₂²⋊C₄	—	4	1	no	—
1385	C₂²⋊C₄	—	4	1	no	—
1386	C₂²⋊C₄	—	4	1	no	—
1387	C₂²⋊C₄	—	4	1	no	—
1388	C₂²⋊C₄	—	4	1	no	—
1389	C₂²⋊C₄	—	4	1	no	—
1390	C₂²⋊C₄	—	4	1	no	—
1391	C₂²⋊C₄	—	4	1	no	—
1392	C₂²⋊C₄	—	4	1	no	—
1393	C₂²⋊C₄	—	4	1	no	—
1394	C₂²⋊C₄	—	4	1	no	—
1395	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1396	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1397	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1398	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1399	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1400	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1401	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1402	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1403	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1404	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1405	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1406	C₂²⋊C₄	C₂²×C₄×C₆₇	1	4	yes	—
1407	C₄²	—	2	2	no	—
1408	C₄²	—	4	1	no	—
1409	C₄²	—	4	1	no	—
1410	C₄²	—	4	1	no	—
1411	C₄²	—	4	1	no	—
1412	C₄²	—	4	1	no	—
1413	C₄²	—	4	1	no	—
1414	C₄²	—	4	1	no	—
1415	C₄²	—	4	1	no	—
1416	C₄²	—	4	1	no	—
1417	C₄²	—	4	1	no	—
1418	C₄²	—	4	1	no	—
1419	C₄²	—	4	1	no	—
1420	C₄²	—	4	1	no	—
1421	C₄²	—	4	1	no	—
1422	C₄²	—	4	1	no	—
1423	C₄²	C₂²×C₄×C₆₇	1	4	yes	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
1458	C₂³	—	2	8	no	—
1459	C₂³	—	4	4	no	—
1460	C₂³	—	4	4	no	—
1461	C₂³	—	4	4	no	—
1462	C₂³	—	4	4	no	—
1463	C₂³	—	4	4	no	—
1464	C₂³	—	8	2	no	—
1465	C₂³	—	8	2	no	—
1466	C₂³	—	8	2	no	—
1467	C₂³	—	8	2	no	—
1468	C₂³	—	8	2	no	—
1469	C₂³	—	8	2	no	—
1470	C₂³	—	8	2	no	—
1471	C₂³	—	8	2	no	—
1472	C₂³	C₂³×C₄×C₆₇	1	2	yes	—
1473	C₂³	C₂³×C₄×C₆₇	1	2	yes	—
1474	C₂³	C₂³×C₄×C₆₇	1	2	yes	—
1475	C₂³	C₂³×C₄×C₆₇	1	2	yes	—
1476	C₂³	C₂³×C₄×C₆₇	1	2	yes	—
1477	C₂³	C₂³×C₄×C₆₇	1	2	yes	—
1478	C₂³	H(5,𝔽₂)×C₆₇	1	2	yes	—
1479	C₂³	H(5,𝔽₂)×C₆₇	1	2	yes	—
1480	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1481	Q₈	—	4	4	no	—
1482	D₄	—	2	8	no	—
1483	D₄	—	2	8	no	—
1484	D₄	—	2	8	no	—
1485	D₄	—	4	4	no	—
1486	D₄	—	4	4	no	—
1487	D₄	—	4	4	no	—
1488	D₄	—	4	4	no	—
1489	D₄	—	4	4	no	—
1490	D₄	—	4	4	no	—
1491	C₂×C₄	—	2	8	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	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	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	4	4	no	—
1558	C₂×C₄	—	4	4	no	—
1559	C₂×C₄	—	4	4	no	—
1560	C₂×C₄	—	4	4	no	—
1561	C₂×C₄	—	4	4	no	—
1562	C₂×C₄	—	4	4	no	—
1563	C₂×C₄	—	4	4	no	—
1564	C₂×C₄	—	8	2	no	—
1565	C₂×C₄	—	8	2	no	—
1566	C₂×C₄	—	8	2	no	—
1567	C₂×C₄	—	8	2	no	—
1568	C₂×C₄	—	8	2	no	—
1569	C₂×C₄	—	8	2	no	—
1570	C₂×C₄	—	8	2	no	—
1571	C₂×C₄	—	8	2	no	—
1572	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1573	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1574	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1575	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1576	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1577	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1578	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1579	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1580	C₂×C₄	C₂³×C₄×C₆₇	1	2	yes	—
1581	C₂×C₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	2	no	—
1586	C₂²	—	2	2	no	—
1587	C₂²	—	2	2	no	—
1588	C₂²	—	2	2	no	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	2	2	no	—
1591	C₂²	—	2	2	no	—
1592	C₂²	—	2	2	no	—
1593	C₂²	—	2	2	no	—
1594	C₂²	—	2	2	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	2	no	—
1597	C₂²	—	2	2	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	2	no	—
1601	C₂²	—	2	2	no	—
1602	C₂²	—	2	2	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	8	8	no	—
1624	C₂²	—	8	8	no	—
1625	C₂²	#518×C₆₇	1	4	yes	—
1626	C₂²	C₂⁴×C₄×C₆₇	1	1	yes	characteristic
1627	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1628	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1629	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1630	C₂²	#585×C₆₇	1	1	yes	characteristic
1631	C₂²	#585×C₆₇	1	1	yes	characteristic
1632	C₂²	#585×C₆₇	1	1	yes	characteristic
1633	C₄	—	2	2	no	—
1634	C₄	—	2	2	no	—
1635	C₄	—	2	2	no	—
1636	C₄	—	2	2	no	—
1637	C₄	—	2	2	no	—
1638	C₄	—	2	2	no	—
1639	C₄	—	2	2	no	—
1640	C₄	—	2	2	no	—
1641	C₄	—	2	2	no	—
1642	C₄	—	2	2	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₂	—	2	4	no	—
1659	C₂	—	4	2	no	—
1660	C₂	—	4	2	no	—
1661	C₂	—	4	2	no	—
1662	C₂	—	4	2	no	—
1663	C₂	—	4	2	no	—
1664	C₂	C₂×#518×C₆₇	1	1	yes	characteristic
1665	C₂	C₆₇×#3428	1	1	yes	characteristic
1666	C₂	C₄×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1667	C₂	C₆₇×#3533	1	1	yes	characteristic
1668	C₂	C₆₇×#3534	1	1	yes	characteristic
1669	C₂	C₆₇×#3558	1	1	yes	characteristic
1670	C₂	C₆₇×#3560	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₆₇
Frattini, cosocle	C₂³	C₂⁵×C₆₇
prime radical	C₂×#546×C₆₇	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₆₇×#2379	C₂	semidirect
3. C₆₇×#2378	C₂	semidirect
4. C₆₇×#2377	C₂	semidirect
5. C₆₇×#2375	C₂	semidirect
6. C₆₇×#2374	C₂	semidirect
7. C₆₇×#2364	C₂	semidirect
8. C₆₇×#2361	C₂	semidirect
9. C₆₇×#2359	C₂	semidirect
10. C₆₇×#2358	C₂	semidirect
11. C₆₇×#2357	C₂	semidirect
12. C₆₇×#2352	C₂	semidirect
13. C₆₇×#2342	C₂	semidirect
14. C₆₇×#2342	C₂	semidirect
15. C₆₇×#2339	C₂	semidirect
16. D₄×C₂²⋊C₄×C₆₇	C₂	semidirect
17. C₆₇×#2337	C₂	semidirect
18. C₆₇×#2335	C₂	semidirect
19. C₆₇×#2333	C₂	semidirect
20. C₆₇×#2332	C₂	semidirect
21. C₆₇×#2325	C₂	semidirect
22. C₆₇×#2324	C₂	semidirect
23. C₆₇×#2321	C₂	semidirect
24. C₆₇×#2321	C₂	semidirect
25. C₆₇×#2318	C₂	semidirect
26. C₆₇×#2318	C₂	semidirect
27. C₆₇×#2312	C₂	semidirect
28. C₆₇×#2308	C₂	semidirect
29. C₄×#123×C₆₇	C₂	semidirect
30. C₆₇×#2297	C₂	semidirect
31. C₂×#388×C₆₇	C₂	semidirect
34. #546×C₆₇	C₄	semidirect
48. C₂×C₄×D₄×C₆₇	C₂²	semidirect
49. C₂×C₄×D₄×C₆₇	C₂²	semidirect
50. C₂×C₄×D₄×C₆₇	C₂²	semidirect
51. C₂×C₄×D₄×C₆₇	C₂²	semidirect
52. C₂×#117×C₆₇	C₂²	semidirect
53. C₂×#117×C₆₇	C₂²	semidirect
54. C₂²×C₄⋊C₄×C₆₇	C₂²	semidirect
61. C₂²×C₄²×C₆₇	C₂²	semidirect
62. #391×C₆₇	C₂²	semidirect
63. #391×C₆₇	C₂²	semidirect
64. #391×C₆₇	C₂²	semidirect
65. #391×C₆₇	C₂²	semidirect
70. #390×C₆₇	C₂²	semidirect
71. #390×C₆₇	C₂²	semidirect
72. #390×C₆₇	C₂²	semidirect
73. #390×C₆₇	C₂²	semidirect
74. #389×C₆₇	C₂²	semidirect
75. #389×C₆₇	C₂²	semidirect
88. #388×C₆₇	C₂²	semidirect
89. #388×C₆₇	C₂²	semidirect
90. #388×C₆₇	C₂²	semidirect
91. #388×C₆₇	C₂²	semidirect
92. #388×C₆₇	C₂²	semidirect
93. #388×C₆₇	C₂²	semidirect
94. #388×C₆₇	C₂²	semidirect
95. #388×C₆₇	C₂²	semidirect
96. #388×C₆₇	C₂²	semidirect
97. #388×C₆₇	C₂²	semidirect
98. #388×C₆₇	C₂²	semidirect
99. #388×C₆₇	C₂²	semidirect
100. #388×C₆₇	C₂²	semidirect
101. #388×C₆₇	C₂²	semidirect
102. #388×C₆₇	C₂²	semidirect
103. #388×C₆₇	C₂²	semidirect
104. #388×C₆₇	C₂²	semidirect
105. #388×C₆₇	C₂²	semidirect
106. #387×C₆₇	C₂²	semidirect
107. #387×C₆₇	C₂²	semidirect
108. #387×C₆₇	C₂²	semidirect
109. #387×C₆₇	C₂²	semidirect
110. #387×C₆₇	C₂²	semidirect
111. #387×C₆₇	C₂²	semidirect
112. #387×C₆₇	C₂²	semidirect
113. #387×C₆₇	C₂²	semidirect
114. #387×C₆₇	C₂²	semidirect
115. #387×C₆₇	C₂²	semidirect
130. #386×C₆₇	C₂²	semidirect
131. #386×C₆₇	C₂²	semidirect
132. #386×C₆₇	C₂²	semidirect
133. #386×C₆₇	C₂²	semidirect
134. #386×C₆₇	C₂²	semidirect
135. #386×C₆₇	C₂²	semidirect
136. #386×C₆₇	C₂²	semidirect
137. #386×C₆₇	C₂²	semidirect
138. #385×C₆₇	C₂²	semidirect
139. #385×C₆₇	C₂²	semidirect
140. #385×C₆₇	C₂²	semidirect
141. #385×C₆₇	C₂²	semidirect
142. #385×C₆₇	C₂²	semidirect
143. #385×C₆₇	C₂²	semidirect
144. #385×C₆₇	C₂²	semidirect
145. #385×C₆₇	C₂²	semidirect
146. #385×C₆₇	C₂²	semidirect
147. #385×C₆₇	C₂²	semidirect
148. #383×C₆₇	C₂²	semidirect
149. #382×C₆₇	C₂²	semidirect
150. #382×C₆₇	C₂²	semidirect
153. #381×C₆₇	C₂²	semidirect
154. #381×C₆₇	C₂²	semidirect
155. #381×C₆₇	C₂²	semidirect
157. #380×C₆₇	C₂²	semidirect
158. #380×C₆₇	C₂²	semidirect
159. #380×C₆₇	C₂²	semidirect
160. #380×C₆₇	C₂²	semidirect
165. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
166. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
167. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
168. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
169. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
171. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
172. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
173. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
174. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
175. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
176. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
177. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
178. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
179. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
185. C₂×#95×C₆₇	C₂²	semidirect
186. C₂×#95×C₆₇	C₂²	semidirect
187. C₂×#95×C₆₇	C₂²	semidirect
192. C₂×#41×C₆₇	C₂×C₄	semidirect
196. C₂²×D₄×C₆₇	C₂×C₄	semidirect
222. #124×C₆₇	C₂×C₄	semidirect
223. #123×C₆₇	C₂×C₄	semidirect
224. #123×C₆₇	C₂×C₄	semidirect
225. C₂²⋊Q₈×C₆₇	C₂×C₄	semidirect
226. #121×C₆₇	C₂×C₄	semidirect
227. #121×C₆₇	C₂×C₄	semidirect
228. #121×C₆₇	C₂×C₄	semidirect
229. #120×C₆₇	C₂×C₄	semidirect
230. #120×C₆₇	C₂×C₄	semidirect
237. C₄×D₄×C₆₇	C₂×C₄	semidirect
238. C₄×D₄×C₆₇	C₂×C₄	semidirect
266. C₂×C₂²⋊C₄×C₆₇	C₂×C₄	semidirect
267. C₂×C₂²⋊C₄×C₆₇	C₂×C₄	semidirect
822. #34470	C₆₇	direct (N × H)
837. #2379	C₂×C₆₇	semidirect
838. #2378	C₂×C₆₇	semidirect
839. #2377	C₂×C₆₇	semidirect
840. #2375	C₂×C₆₇	semidirect
841. #2374	C₂×C₆₇	semidirect
842. #2364	C₂×C₆₇	semidirect
843. #2361	C₂×C₆₇	semidirect
844. #2359	C₂×C₆₇	semidirect
845. #2358	C₂×C₆₇	semidirect
846. #2357	C₂×C₆₇	semidirect
847. #2352	C₂×C₆₇	semidirect
848. #2342	C₂×C₆₇	semidirect
849. #2342	C₂×C₆₇	semidirect
850. #2339	C₂×C₆₇	semidirect
851. D₄×C₂²⋊C₄	C₂×C₆₇	semidirect
852. #2337	C₂×C₆₇	semidirect
853. #2335	C₂×C₆₇	semidirect
854. #2333	C₂×C₆₇	semidirect
855. #2332	C₂×C₆₇	semidirect
856. #2325	C₂×C₆₇	semidirect
857. #2324	C₂×C₆₇	semidirect
858. #2321	C₂×C₆₇	semidirect
859. #2321	C₂×C₆₇	semidirect
860. #2318	C₂×C₆₇	semidirect
861. #2318	C₂×C₆₇	semidirect
862. #2312	C₂×C₆₇	semidirect
863. #2308	C₂×C₆₇	semidirect
864. C₄×#123	C₂×C₆₇	semidirect
865. #2297	C₂×C₆₇	semidirect
866. C₂×#388	C₂×C₆₇	semidirect
867. C₆₇	#34470	direct (N × H)
870. #546	C₄×C₆₇	semidirect
884. C₂×C₄×D₄	C₂²×C₆₇	semidirect
885. C₂×C₄×D₄	C₂²×C₆₇	semidirect
886. C₂×C₄×D₄	C₂²×C₆₇	semidirect
887. C₂×C₄×D₄	C₂²×C₆₇	semidirect
888. C₂×#117	C₂²×C₆₇	semidirect
889. C₂×#117	C₂²×C₆₇	semidirect
890. C₂²×C₄⋊C₄	C₂²×C₆₇	semidirect
897. C₂²×C₄²	C₂²×C₆₇	semidirect
898. #391	C₂²×C₆₇	semidirect
899. #391	C₂²×C₆₇	semidirect
900. #391	C₂²×C₆₇	semidirect
901. #391	C₂²×C₆₇	semidirect
906. #390	C₂²×C₆₇	semidirect
907. #390	C₂²×C₆₇	semidirect
908. #390	C₂²×C₆₇	semidirect
909. #390	C₂²×C₆₇	semidirect
910. #389	C₂²×C₆₇	semidirect
911. #389	C₂²×C₆₇	semidirect
924. #388	C₂²×C₆₇	semidirect
925. #388	C₂²×C₆₇	semidirect
926. #388	C₂²×C₆₇	semidirect
927. #388	C₂²×C₆₇	semidirect
928. #388	C₂²×C₆₇	semidirect
929. #388	C₂²×C₆₇	semidirect
930. #388	C₂²×C₆₇	semidirect
931. #388	C₂²×C₆₇	semidirect
932. #388	C₂²×C₆₇	semidirect
933. #388	C₂²×C₆₇	semidirect
934. #388	C₂²×C₆₇	semidirect
935. #388	C₂²×C₆₇	semidirect
936. #388	C₂²×C₆₇	semidirect
937. #388	C₂²×C₆₇	semidirect
938. #388	C₂²×C₆₇	semidirect
939. #388	C₂²×C₆₇	semidirect
940. #388	C₂²×C₆₇	semidirect
941. #388	C₂²×C₆₇	semidirect
942. #387	C₂²×C₆₇	semidirect
943. #387	C₂²×C₆₇	semidirect
944. #387	C₂²×C₆₇	semidirect
945. #387	C₂²×C₆₇	semidirect
946. #387	C₂²×C₆₇	semidirect
947. #387	C₂²×C₆₇	semidirect
948. #387	C₂²×C₆₇	semidirect
949. #387	C₂²×C₆₇	semidirect
950. #387	C₂²×C₆₇	semidirect
951. #387	C₂²×C₆₇	semidirect
966. #386	C₂²×C₆₇	semidirect
967. #386	C₂²×C₆₇	semidirect
968. #386	C₂²×C₆₇	semidirect
969. #386	C₂²×C₆₇	semidirect
970. #386	C₂²×C₆₇	semidirect
971. #386	C₂²×C₆₇	semidirect
972. #386	C₂²×C₆₇	semidirect
973. #386	C₂²×C₆₇	semidirect
974. #385	C₂²×C₆₇	semidirect
975. #385	C₂²×C₆₇	semidirect
976. #385	C₂²×C₆₇	semidirect
977. #385	C₂²×C₆₇	semidirect
978. #385	C₂²×C₆₇	semidirect
979. #385	C₂²×C₆₇	semidirect
980. #385	C₂²×C₆₇	semidirect
981. #385	C₂²×C₆₇	semidirect
982. #385	C₂²×C₆₇	semidirect
983. #385	C₂²×C₆₇	semidirect
984. #383	C₂²×C₆₇	semidirect
985. #382	C₂²×C₆₇	semidirect
986. #382	C₂²×C₆₇	semidirect
989. #381	C₂²×C₆₇	semidirect
990. #381	C₂²×C₆₇	semidirect
991. #381	C₂²×C₆₇	semidirect
993. #380	C₂²×C₆₇	semidirect
994. #380	C₂²×C₆₇	semidirect
995. #380	C₂²×C₆₇	semidirect
996. #380	C₂²×C₆₇	semidirect
1001. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1002. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1003. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1004. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1005. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1007. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1008. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1009. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1010. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1011. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1012. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1013. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1014. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1015. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1016. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1017. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1018. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1019. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1020. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1021. C₂×#95	C₂²×C₆₇	semidirect
1022. C₂×#95	C₂²×C₆₇	semidirect
1023. C₂×#95	C₂²×C₆₇	semidirect
1028. C₂×#41	C₂×C₄×C₆₇	semidirect
1032. C₂²×D₄	C₂×C₄×C₆₇	semidirect
1058. #124	C₂×C₄×C₆₇	semidirect
1059. #123	C₂×C₄×C₆₇	semidirect
1060. #123	C₂×C₄×C₆₇	semidirect
1061. C₂²⋊Q₈	C₂×C₄×C₆₇	semidirect
1062. #121	C₂×C₄×C₆₇	semidirect
1063. #121	C₂×C₄×C₆₇	semidirect
1064. #121	C₂×C₄×C₆₇	semidirect
1065. #120	C₂×C₄×C₆₇	semidirect
1066. #120	C₂×C₄×C₆₇	semidirect
1073. C₄×D₄	C₂×C₄×C₆₇	semidirect
1074. C₄×D₄	C₂×C₄×C₆₇	semidirect
1102. C₂×C₂²⋊C₄	C₂×C₄×C₆₇	semidirect
1103. C₂×C₂²⋊C₄	C₂×C₄×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546×C₆₇	2
C₆₇×#2379	2
C₆₇×#2378	2
C₆₇×#2377	2
C₆₇×#2375	2
C₆₇×#2374	2
C₆₇×#2364	2
C₆₇×#2361	2
C₆₇×#2359	2
C₆₇×#2358	2
C₆₇×#2357	2
C₆₇×#2352	2
C₆₇×#2342	2
C₆₇×#2339	2
D₄×C₂²⋊C₄×C₆₇	2
C₆₇×#2337	2
C₆₇×#2335	2
C₆₇×#2333	2
C₆₇×#2332	2
C₆₇×#2325	2
C₆₇×#2324	2
C₆₇×#2321	2
C₆₇×#2318	2
C₆₇×#2312	2
C₆₇×#2308	2
C₄×#123×C₆₇	2
C₆₇×#2297	2
C₂×#388×C₆₇	2
#34470	67

Subgroups — C67×#34470 #30713721

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#34470 #30713721