Subgroups — C₆₇×#59912 #30739163

Order 17152.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#2806	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₇×#2788	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#2774	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#2729	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#2589	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#2588	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#2588	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#2586	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#2574	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#2556	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2550	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#2549	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#2520	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#2505	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#2492	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#2473	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#2450	C₂	1	1	yes	maximal, characteristic
18	C₆₇×#2449	C₂	1	1	yes	maximal, characteristic
19	C₆₇×#2438	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#2438	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#2434	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2409	C₂	1	1	yes	maximal, characteristic
23	C₆₇×#2369	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#2368	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#2368	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#2359	C₂	1	1	yes	maximal, characteristic
27	C₆₇×#2359	C₂	1	1	yes	maximal, characteristic
28	C₆₇×#2349	C₂	1	1	yes	maximal, characteristic
29	C₄×#123×C₆₇	C₂	1	1	yes	maximal, characteristic
30	C₆₇×#2296	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#391×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×Q₈×C₆₇	C₂²	1	1	yes	characteristic
33	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
34	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
35	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic
36	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
45	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
46	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
47	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
48	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic
49	#400×C₆₇	C₂²	1	1	yes	characteristic
50	#400×C₆₇	C₂²	1	1	yes	characteristic
51	#400×C₆₇	C₂²	1	1	yes	characteristic
52	#400×C₆₇	C₂²	1	1	yes	characteristic
53	#400×C₆₇	C₂²	1	1	yes	characteristic
54	#400×C₆₇	C₂²	1	1	yes	characteristic
55	#400×C₆₇	C₂²	1	1	yes	characteristic
56	#399×C₆₇	C₂²	1	1	yes	characteristic
57	#398×C₆₇	C₂²	1	1	yes	characteristic
58	#398×C₆₇	C₂²	1	1	yes	characteristic
59	#398×C₆₇	C₂²	1	1	yes	characteristic
60	#398×C₆₇	C₂²	1	1	yes	characteristic
61	#398×C₆₇	C₂²	1	1	yes	characteristic
62	#398×C₆₇	C₂²	1	1	yes	characteristic
63	#398×C₆₇	C₂²	1	1	yes	characteristic
64	#398×C₆₇	C₂²	1	1	yes	characteristic
65	#398×C₆₇	C₂²	1	1	yes	characteristic
66	#398×C₆₇	C₂²	1	1	yes	characteristic
67	#396×C₆₇	C₂²	1	1	yes	characteristic
68	#396×C₆₇	C₂²	1	1	yes	characteristic
69	#395×C₆₇	C₂²	1	1	yes	characteristic
70	#395×C₆₇	C₂²	1	1	yes	characteristic
71	#395×C₆₇	C₂²	1	1	yes	characteristic
72	#395×C₆₇	C₂²	1	1	yes	characteristic
73	#395×C₆₇	C₂²	1	1	yes	characteristic
74	#395×C₆₇	C₂²	1	1	yes	characteristic
75	#395×C₆₇	C₂²	1	1	yes	characteristic
76	#395×C₆₇	C₂²	1	1	yes	characteristic
77	#395×C₆₇	C₂²	1	1	yes	characteristic
78	#393×C₆₇	C₂²	1	1	yes	characteristic
79	#393×C₆₇	C₂²	1	1	yes	characteristic
80	#393×C₆₇	C₂²	1	1	yes	characteristic
81	#391×C₆₇	C₂²	1	1	yes	characteristic
82	#391×C₆₇	C₂²	1	1	yes	characteristic
83	#391×C₆₇	C₂²	1	1	yes	characteristic
84	#391×C₆₇	C₂²	1	1	yes	characteristic
85	#391×C₆₇	C₂²	1	1	yes	characteristic
86	#391×C₆₇	C₂²	1	1	yes	characteristic
87	#391×C₆₇	C₂²	1	1	yes	characteristic
88	#391×C₆₇	C₂²	1	1	yes	characteristic
89	#391×C₆₇	C₂²	1	1	yes	characteristic
90	#391×C₆₇	C₂²	1	1	yes	characteristic
91	#391×C₆₇	C₂²	1	1	yes	characteristic
92	#391×C₆₇	C₂²	1	1	yes	characteristic
93	#391×C₆₇	C₂²	1	1	yes	characteristic
94	#391×C₆₇	C₂²	1	1	yes	characteristic
95	#391×C₆₇	C₂²	1	1	yes	characteristic
96	#391×C₆₇	C₂²	1	1	yes	characteristic
97	#391×C₆₇	C₂²	1	1	yes	characteristic
98	#389×C₆₇	C₂²	1	1	yes	characteristic
99	#389×C₆₇	C₂²	1	1	yes	characteristic
100	#389×C₆₇	C₂²	1	1	yes	characteristic
101	#389×C₆₇	C₂²	1	1	yes	characteristic
102	#389×C₆₇	C₂²	1	1	yes	characteristic
103	#389×C₆₇	C₂²	1	1	yes	characteristic
104	#389×C₆₇	C₂²	1	1	yes	characteristic
105	#389×C₆₇	C₂²	1	1	yes	characteristic
106	#389×C₆₇	C₂²	1	1	yes	characteristic
107	#389×C₆₇	C₂²	1	1	yes	characteristic
108	#389×C₆₇	C₂²	1	1	yes	characteristic
109	#389×C₆₇	C₂²	1	1	yes	characteristic
110	#389×C₆₇	C₂²	1	1	yes	characteristic
111	#388×C₆₇	C₂²	1	1	yes	characteristic
112	#388×C₆₇	C₂²	1	1	yes	characteristic
113	#388×C₆₇	C₂²	1	1	yes	characteristic
114	#388×C₆₇	C₂²	1	1	yes	characteristic
115	#388×C₆₇	C₂²	1	1	yes	characteristic
116	#388×C₆₇	C₂²	1	1	yes	characteristic
117	#387×C₆₇	C₂²	1	1	yes	characteristic
118	#387×C₆₇	C₂²	1	1	yes	characteristic
119	#387×C₆₇	C₂²	1	1	yes	characteristic
120	#387×C₆₇	C₂²	1	1	yes	characteristic
121	#387×C₆₇	C₂²	1	1	yes	characteristic
122	#387×C₆₇	C₂²	1	1	yes	characteristic
123	#387×C₆₇	C₂²	1	1	yes	characteristic
124	#387×C₆₇	C₂²	1	1	yes	characteristic
125	#387×C₆₇	C₂²	1	1	yes	characteristic
126	#387×C₆₇	C₂²	1	1	yes	characteristic
127	#387×C₆₇	C₂²	1	1	yes	characteristic
128	#387×C₆₇	C₂²	1	1	yes	characteristic
129	#387×C₆₇	C₂²	1	1	yes	characteristic
130	#387×C₆₇	C₂²	1	1	yes	characteristic
131	#387×C₆₇	C₂²	1	1	yes	characteristic
132	#387×C₆₇	C₂²	1	1	yes	characteristic
133	#387×C₆₇	C₂²	1	1	yes	characteristic
134	#387×C₆₇	C₂²	1	1	yes	characteristic
135	#387×C₆₇	C₂²	1	1	yes	characteristic
136	#387×C₆₇	C₂²	1	1	yes	characteristic
137	#386×C₆₇	C₂²	1	1	yes	characteristic
138	#386×C₆₇	C₂²	1	1	yes	characteristic
139	#386×C₆₇	C₂²	1	1	yes	characteristic
140	#385×C₆₇	C₂²	1	1	yes	characteristic
141	#385×C₆₇	C₂²	1	1	yes	characteristic
142	#385×C₆₇	C₂²	1	1	yes	characteristic
143	#385×C₆₇	C₂²	1	1	yes	characteristic
144	#385×C₆₇	C₂²	1	1	yes	characteristic
145	#385×C₆₇	C₂²	1	1	yes	characteristic
146	#385×C₆₇	C₂²	1	1	yes	characteristic
147	#385×C₆₇	C₂²	1	1	yes	characteristic
148	#385×C₆₇	C₂²	1	1	yes	characteristic
149	#385×C₆₇	C₂²	1	1	yes	characteristic
150	#385×C₆₇	C₂²	1	1	yes	characteristic
151	#385×C₆₇	C₂²	1	1	yes	characteristic
152	#385×C₆₇	C₂²	1	1	yes	characteristic
153	#385×C₆₇	C₂²	1	1	yes	characteristic
154	#385×C₆₇	C₂²	1	1	yes	characteristic
155	#385×C₆₇	C₂²	1	1	yes	characteristic
156	#385×C₆₇	C₂²	1	1	yes	characteristic
157	#382×C₆₇	C₂²	1	1	yes	characteristic
158	#382×C₆₇	C₂²	1	1	yes	characteristic
159	#381×C₆₇	C₂²	1	1	yes	characteristic
160	#380×C₆₇	C₂²	1	1	yes	characteristic
161	#380×C₆₇	C₂²	1	1	yes	characteristic
162	#380×C₆₇	C₂²	1	1	yes	characteristic
163	#380×C₆₇	C₂²	1	1	yes	characteristic
164	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
165	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
166	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
167	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
168	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
169	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
170	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
171	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
172	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
173	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
174	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
182	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
183	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
184	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
185	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
186	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
187	C₂²×Q₈×C₆₇	—	2	4	no	—
188	C₂²×Q₈×C₆₇	—	4	2	no	—
189	C₂²×Q₈×C₆₇	—	4	2	no	—
190	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
191	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
192	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
194	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
195	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
207	C₄⋊Q₈×C₆₇	—	2	4	no	—
208	C₄⋊Q₈×C₆₇	—	4	2	no	—
209	#125×C₆₇	—	4	2	no	—
210	#123×C₆₇	Q₈	1	8	yes	complemented
211	C₂²⋊Q₈×C₆₇	—	2	4	no	—
212	C₂²⋊Q₈×C₆₇	—	2	4	no	—
213	C₂²⋊Q₈×C₆₇	—	4	2	no	—
214	C₂²⋊Q₈×C₆₇	—	4	2	no	—
215	C₂²⋊Q₈×C₆₇	—	4	2	no	—
216	C₄×D₄×C₆₇	—	2	4	no	—
217	C₄×D₄×C₆₇	—	4	2	no	—
218	C₄×D₄×C₆₇	—	4	2	no	—
219	#117×C₆₇	—	2	4	no	—
220	#117×C₆₇	—	4	2	no	—
221	C₂×C₄⋊C₄×C₆₇	—	4	2	no	—
222	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
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×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
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×C₄²×C₆₇	—	4	2	no	—
286	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
303	#95×C₆₇	C₂³	1	1	yes	characteristic
304	#95×C₆₇	C₂³	1	1	yes	characteristic
305	#95×C₆₇	C₂³	1	1	yes	characteristic
306	#95×C₆₇	C₂³	1	1	yes	characteristic
307	#95×C₆₇	C₂³	1	1	yes	characteristic
308	#95×C₆₇	C₂³	1	1	yes	characteristic
309	#95×C₆₇	C₂³	1	1	yes	characteristic
310	#95×C₆₇	C₂³	1	1	yes	characteristic
311	#95×C₆₇	C₂³	1	1	yes	characteristic
312	#95×C₆₇	C₂³	1	1	yes	characteristic
313	#95×C₆₇	C₂³	1	1	yes	characteristic
314	#95×C₆₇	C₂³	1	1	yes	characteristic
315	#95×C₆₇	C₂³	1	1	yes	characteristic
316	#95×C₆₇	C₂³	1	1	yes	characteristic
317	#95×C₆₇	C₂³	1	1	yes	characteristic
318	#95×C₆₇	C₂³	1	1	yes	characteristic
319	#95×C₆₇	C₂³	1	1	yes	characteristic
320	#95×C₆₇	C₂³	1	1	yes	characteristic
321	#95×C₆₇	C₂³	1	1	yes	characteristic
322	#95×C₆₇	C₂³	1	1	yes	characteristic
323	#95×C₆₇	C₂³	1	1	yes	characteristic
324	#95×C₆₇	C₂³	1	1	yes	characteristic
325	#95×C₆₇	C₂³	1	1	yes	characteristic
326	#95×C₆₇	C₂³	1	1	yes	characteristic
327	#95×C₆₇	C₂³	1	1	yes	characteristic
328	#95×C₆₇	C₂³	1	1	yes	characteristic
329	#95×C₆₇	C₂³	1	1	yes	characteristic
330	#95×C₆₇	C₂³	1	1	yes	characteristic
331	#95×C₆₇	C₂³	1	1	yes	characteristic
332	#95×C₆₇	C₂³	1	1	yes	characteristic
333	#95×C₆₇	C₂³	1	1	yes	characteristic
334	#95×C₆₇	C₂³	1	1	yes	characteristic
335	#95×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	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
362	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
363	C₂×Q₈×C₆₇	—	2	2	no	—
364	C₂×Q₈×C₆₇	—	2	2	no	—
365	C₂×Q₈×C₆₇	—	2	2	no	—
366	C₂×Q₈×C₆₇	—	2	2	no	—
367	C₂×Q₈×C₆₇	—	2	2	no	—
368	C₂×Q₈×C₆₇	—	2	2	no	—
369	C₂×Q₈×C₆₇	—	2	2	no	—
370	C₂×Q₈×C₆₇	—	4	1	no	—
371	C₂×Q₈×C₆₇	—	4	1	no	—
372	C₂×Q₈×C₆₇	—	4	1	no	—
373	C₂×Q₈×C₆₇	—	4	1	no	—
374	C₂×Q₈×C₆₇	—	4	1	no	—
375	C₂×Q₈×C₆₇	—	4	1	no	—
376	C₂×Q₈×C₆₇	—	4	1	no	—
377	C₂×Q₈×C₆₇	—	4	1	no	—
378	C₂×Q₈×C₆₇	—	4	1	no	—
379	C₂×Q₈×C₆₇	—	4	1	no	—
380	C₂×Q₈×C₆₇	—	4	16	no	—
381	C₂×Q₈×C₆₇	#41	1	4	yes	—
382	C₂×D₄×C₆₇	—	2	2	no	—
383	C₂×D₄×C₆₇	—	2	2	no	—
384	C₂×D₄×C₆₇	C₂×Q₈	1	4	yes	—
385	C₂²×C₄×C₆₇	—	2	2	no	—
386	C₂²×C₄×C₆₇	—	2	2	no	—
387	C₂²×C₄×C₆₇	—	2	2	no	—
388	C₂²×C₄×C₆₇	—	2	2	no	—
389	C₂²×C₄×C₆₇	—	2	2	no	—
390	C₂²×C₄×C₆₇	—	2	2	no	—
391	C₂²×C₄×C₆₇	—	2	2	no	—
392	C₂²×C₄×C₆₇	—	2	2	no	—
393	C₂²×C₄×C₆₇	—	2	2	no	—
394	C₂²×C₄×C₆₇	—	2	2	no	—
395	C₂²×C₄×C₆₇	—	2	2	no	—
396	C₂²×C₄×C₆₇	—	2	2	no	—
397	C₂²×C₄×C₆₇	—	2	2	no	—
398	C₂²×C₄×C₆₇	—	2	2	no	—
399	C₂²×C₄×C₆₇	—	2	2	no	—
400	C₂²×C₄×C₆₇	—	2	2	no	—
401	C₂²×C₄×C₆₇	—	4	1	no	—
402	C₂²×C₄×C₆₇	—	4	1	no	—
403	C₂²×C₄×C₆₇	—	4	1	no	—
404	C₂²×C₄×C₆₇	—	4	1	no	—
405	C₂²×C₄×C₆₇	—	4	1	no	—
406	C₂²×C₄×C₆₇	—	4	1	no	—
407	C₂²×C₄×C₆₇	—	4	1	no	—
408	C₂²×C₄×C₆₇	—	4	1	no	—
409	C₂²×C₄×C₆₇	—	4	1	no	—
410	C₂²×C₄×C₆₇	—	4	1	no	—
411	C₂²×C₄×C₆₇	—	4	1	no	—
412	C₂²×C₄×C₆₇	—	4	1	no	—
413	C₂²×C₄×C₆₇	—	4	1	no	—
414	C₂²×C₄×C₆₇	C₂×Q₈	1	4	yes	—
415	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
444	C₄⋊C₄×C₆₇	—	2	2	no	—
445	C₄⋊C₄×C₆₇	—	2	2	no	—
446	C₄⋊C₄×C₆₇	—	2	2	no	—
447	C₄⋊C₄×C₆₇	—	2	2	no	—
448	C₄⋊C₄×C₆₇	—	2	2	no	—
449	C₄⋊C₄×C₆₇	—	2	2	no	—
450	C₄⋊C₄×C₆₇	—	2	2	no	—
451	C₄⋊C₄×C₆₇	—	2	2	no	—
452	C₄⋊C₄×C₆₇	—	2	2	no	—
453	C₄⋊C₄×C₆₇	—	2	2	no	—
454	C₄⋊C₄×C₆₇	—	2	2	no	—
455	C₄⋊C₄×C₆₇	—	2	2	no	—
456	C₄⋊C₄×C₆₇	—	2	2	no	—
457	C₄⋊C₄×C₆₇	—	2	2	no	—
458	C₄⋊C₄×C₆₇	—	2	2	no	—
459	C₄⋊C₄×C₆₇	—	2	2	no	—
460	C₄⋊C₄×C₆₇	—	2	2	no	—
461	C₄⋊C₄×C₆₇	—	2	2	no	—
462	C₄⋊C₄×C₆₇	—	2	2	no	—
463	C₄⋊C₄×C₆₇	—	2	2	no	—
464	C₄⋊C₄×C₆₇	—	4	1	no	—
465	C₄⋊C₄×C₆₇	—	4	1	no	—
466	C₄⋊C₄×C₆₇	—	4	1	no	—
467	C₄⋊C₄×C₆₇	—	4	1	no	—
468	C₄⋊C₄×C₆₇	—	4	1	no	—
469	C₄⋊C₄×C₆₇	—	4	1	no	—
470	C₄⋊C₄×C₆₇	—	4	1	no	—
471	C₄⋊C₄×C₆₇	—	4	1	no	—
472	C₄⋊C₄×C₆₇	—	4	1	no	—
473	C₄⋊C₄×C₆₇	—	4	1	no	—
474	C₄⋊C₄×C₆₇	—	4	1	no	—
475	C₄⋊C₄×C₆₇	—	4	1	no	—
476	C₄⋊C₄×C₆₇	—	4	1	no	—
477	C₄⋊C₄×C₆₇	—	4	1	no	—
478	C₄⋊C₄×C₆₇	—	4	1	no	—
479	C₄⋊C₄×C₆₇	—	4	1	no	—
480	C₄⋊C₄×C₆₇	—	4	1	no	—
481	C₄⋊C₄×C₆₇	—	4	1	no	—
482	C₄⋊C₄×C₆₇	—	4	1	no	—
483	C₄⋊C₄×C₆₇	—	4	1	no	—
484	C₄⋊C₄×C₆₇	—	4	1	no	—
485	C₄⋊C₄×C₆₇	—	4	1	no	—
486	C₄⋊C₄×C₆₇	—	4	1	no	—
487	C₄⋊C₄×C₆₇	C₂×Q₈	1	4	yes	complemented
488	C₄⋊C₄×C₆₇	C₂×Q₈	1	4	yes	complemented
489	C₂²⋊C₄×C₆₇	—	2	2	no	—
490	C₂²⋊C₄×C₆₇	—	2	2	no	—
491	C₂²⋊C₄×C₆₇	—	2	2	no	—
492	C₂²⋊C₄×C₆₇	—	2	2	no	—
493	C₂²⋊C₄×C₆₇	—	2	2	no	—
494	C₂²⋊C₄×C₆₇	—	2	2	no	—
495	C₂²⋊C₄×C₆₇	—	2	2	no	—
496	C₂²⋊C₄×C₆₇	—	2	2	no	—
497	C₂²⋊C₄×C₆₇	—	2	2	no	—
498	C₂²⋊C₄×C₆₇	—	4	1	no	—
499	C₂²⋊C₄×C₆₇	—	4	1	no	—
500	C₂²⋊C₄×C₆₇	—	4	1	no	—
501	C₂²⋊C₄×C₆₇	—	4	1	no	—
502	C₂²⋊C₄×C₆₇	—	4	1	no	—
503	C₂²⋊C₄×C₆₇	C₂×Q₈	1	4	yes	—
504	C₂²⋊C₄×C₆₇	C₂×Q₈	1	4	yes	complemented
505	C₂²⋊C₄×C₆₇	C₂×Q₈	1	4	yes	complemented
506	C₂²⋊C₄×C₆₇	#41	1	4	yes	—
507	C₄²×C₆₇	—	2	2	no	—
508	C₄²×C₆₇	—	2	2	no	—
509	C₄²×C₆₇	—	2	2	no	—
510	C₄²×C₆₇	—	2	2	no	—
511	C₄²×C₆₇	—	2	2	no	—
512	C₄²×C₆₇	—	4	1	no	—
513	C₄²×C₆₇	—	4	1	no	—
514	C₄²×C₆₇	—	4	1	no	—
515	C₄²×C₆₇	—	4	1	no	—
516	C₄²×C₆₇	—	4	1	no	—
517	C₄²×C₆₇	—	4	1	no	—
518	C₄²×C₆₇	—	4	1	no	—
519	C₄²×C₆₇	—	4	1	no	—
520	C₄²×C₆₇	—	4	1	no	—
521	C₄²×C₆₇	—	4	1	no	—
522	C₄²×C₆₇	—	4	1	no	—
523	C₄²×C₆₇	—	4	1	no	—
524	C₂³×C₆₇	—	2	1	no	—
525	C₂³×C₆₇	—	2	1	no	—
526	C₂³×C₆₇	—	2	1	no	—
527	C₂³×C₆₇	—	2	1	no	—
528	C₂³×C₆₇	—	2	1	no	—
529	C₂³×C₆₇	—	2	1	no	—
530	C₂³×C₆₇	—	2	1	no	—
531	C₂³×C₆₇	—	2	1	no	—
532	C₂³×C₆₇	—	2	1	no	—
533	C₂³×C₆₇	—	2	1	no	—
534	C₂³×C₆₇	C₂²×Q₈	1	2	yes	—
535	C₂³×C₆₇	C₂²×Q₈	1	2	yes	—
536	C₂³×C₆₇	C₂×#41	1	2	yes	—
537	C₂³×C₆₇	H(5,𝔽₂)	1	2	yes	—
538	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
539	Q₈×C₆₇	—	4	4	no	—
540	Q₈×C₆₇	—	4	4	no	—
541	Q₈×C₆₇	—	4	4	no	—
542	Q₈×C₆₇	—	4	4	no	—
543	Q₈×C₆₇	—	8	2	no	—
544	Q₈×C₆₇	—	8	2	no	—
545	D₄×C₆₇	—	2	8	no	—
546	C₂×C₄×C₆₇	—	2	8	no	—
547	C₂×C₄×C₆₇	—	2	8	no	—
548	C₂×C₄×C₆₇	—	2	1	no	—
549	C₂×C₄×C₆₇	—	2	1	no	—
550	C₂×C₄×C₆₇	—	2	1	no	—
551	C₂×C₄×C₆₇	—	2	1	no	—
552	C₂×C₄×C₆₇	—	2	1	no	—
553	C₂×C₄×C₆₇	—	2	1	no	—
554	C₂×C₄×C₆₇	—	2	1	no	—
555	C₂×C₄×C₆₇	—	2	1	no	—
556	C₂×C₄×C₆₇	—	2	1	no	—
557	C₂×C₄×C₆₇	—	2	1	no	—
558	C₂×C₄×C₆₇	—	2	1	no	—
559	C₂×C₄×C₆₇	—	2	1	no	—
560	C₂×C₄×C₆₇	—	2	1	no	—
561	C₂×C₄×C₆₇	—	2	1	no	—
562	C₂×C₄×C₆₇	—	2	1	no	—
563	C₂×C₄×C₆₇	—	2	1	no	—
564	C₂×C₄×C₆₇	—	2	1	no	—
565	C₂×C₄×C₆₇	—	2	1	no	—
566	C₂×C₄×C₆₇	—	2	1	no	—
567	C₂×C₄×C₆₇	—	2	1	no	—
568	C₂×C₄×C₆₇	—	2	1	no	—
569	C₂×C₄×C₆₇	—	2	1	no	—
570	C₂×C₄×C₆₇	—	2	1	no	—
571	C₂×C₄×C₆₇	—	2	1	no	—
572	C₂×C₄×C₆₇	—	2	1	no	—
573	C₂×C₄×C₆₇	—	2	1	no	—
574	C₂×C₄×C₆₇	—	2	1	no	—
575	C₂×C₄×C₆₇	—	2	1	no	—
576	C₂×C₄×C₆₇	—	2	1	no	—
577	C₂×C₄×C₆₇	—	2	1	no	—
578	C₂×C₄×C₆₇	—	2	1	no	—
579	C₂×C₄×C₆₇	—	2	1	no	—
580	C₂×C₄×C₆₇	—	2	1	no	—
581	C₂×C₄×C₆₇	—	2	1	no	—
582	C₂×C₄×C₆₇	—	2	1	no	—
583	C₂×C₄×C₆₇	—	2	1	no	—
584	C₂×C₄×C₆₇	—	2	1	no	—
585	C₂×C₄×C₆₇	—	2	1	no	—
586	C₂×C₄×C₆₇	—	2	1	no	—
587	C₂×C₄×C₆₇	—	2	1	no	—
588	C₂×C₄×C₆₇	—	2	1	no	—
589	C₂×C₄×C₆₇	—	2	1	no	—
590	C₂×C₄×C₆₇	—	2	1	no	—
591	C₂×C₄×C₆₇	—	2	1	no	—
592	C₂×C₄×C₆₇	—	2	1	no	—
593	C₂×C₄×C₆₇	—	2	1	no	—
594	C₂×C₄×C₆₇	—	2	1	no	—
595	C₂×C₄×C₆₇	—	2	1	no	—
596	C₂×C₄×C₆₇	—	2	1	no	—
597	C₂×C₄×C₆₇	—	2	1	no	—
598	C₂×C₄×C₆₇	—	2	1	no	—
599	C₂×C₄×C₆₇	—	2	1	no	—
600	C₂×C₄×C₆₇	—	2	1	no	—
601	C₂×C₄×C₆₇	—	2	1	no	—
602	C₂×C₄×C₆₇	—	2	1	no	—
603	C₂×C₄×C₆₇	—	2	1	no	—
604	C₂×C₄×C₆₇	—	2	1	no	—
605	C₂×C₄×C₆₇	—	2	1	no	—
606	C₂×C₄×C₆₇	—	2	1	no	—
607	C₂×C₄×C₆₇	—	2	1	no	—
608	C₂×C₄×C₆₇	—	2	1	no	—
609	C₂×C₄×C₆₇	—	2	1	no	—
610	C₂×C₄×C₆₇	—	2	1	no	—
611	C₂×C₄×C₆₇	—	2	1	no	—
612	C₂×C₄×C₆₇	—	2	1	no	—
613	C₂×C₄×C₆₇	—	2	1	no	—
614	C₂×C₄×C₆₇	—	2	1	no	—
615	C₂×C₄×C₆₇	—	2	1	no	—
616	C₂×C₄×C₆₇	—	2	1	no	—
617	C₂×C₄×C₆₇	—	2	1	no	—
618	C₂×C₄×C₆₇	—	2	1	no	—
619	C₂×C₄×C₆₇	—	2	1	no	—
620	C₂×C₄×C₆₇	—	2	1	no	—
621	C₂×C₄×C₆₇	—	2	1	no	—
622	C₂×C₄×C₆₇	—	2	1	no	—
623	C₂×C₄×C₆₇	—	4	4	no	—
624	C₂×C₄×C₆₇	—	4	4	no	—
625	C₂×C₄×C₆₇	—	4	4	no	—
626	C₂×C₄×C₆₇	—	8	2	no	—
627	C₂×C₄×C₆₇	—	8	2	no	—
628	C₂×C₄×C₆₇	—	8	2	no	—
629	C₂×C₄×C₆₇	—	8	2	no	—
630	C₂×C₄×C₆₇	—	8	2	no	—
631	C₂×C₄×C₆₇	C₂²×Q₈	1	2	yes	—
632	C₂×C₄×C₆₇	C₂²×Q₈	1	2	yes	—
633	C₂×C₄×C₆₇	C₂²×Q₈	1	2	yes	—
634	C₂×C₄×C₆₇	C₂²×Q₈	1	2	yes	—
635	C₂×C₄×C₆₇	C₂²×Q₈	1	2	yes	—
636	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
637	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
638	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
639	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
640	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
641	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
642	C₂×C₄×C₆₇	2₋¹⁺⁴	1	2	yes	—
643	C₂²×C₆₇	—	2	2	no	—
644	C₂²×C₆₇	—	2	2	no	—
645	C₂²×C₆₇	—	2	2	no	—
646	C₂²×C₆₇	—	2	2	no	—
647	C₂²×C₆₇	—	2	2	no	—
648	C₂²×C₆₇	—	2	2	no	—
649	C₂²×C₆₇	—	2	2	no	—
650	C₂²×C₆₇	—	2	2	no	—
651	C₂²×C₆₇	—	2	2	no	—
652	C₂²×C₆₇	—	4	1	no	—
653	C₂²×C₆₇	—	4	1	no	—
654	C₂²×C₆₇	—	4	1	no	—
655	C₂²×C₆₇	—	4	1	no	—
656	C₂²×C₆₇	#554	1	4	yes	—
657	C₂²×C₆₇	C₂³×Q₈	1	1	yes	characteristic
658	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
659	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
660	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
661	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
662	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
663	C₂²×C₆₇	#585	1	1	yes	characteristic
664	C₄×C₆₇	—	2	2	no	—
665	C₄×C₆₇	—	2	2	no	—
666	C₄×C₆₇	—	2	2	no	—
667	C₄×C₆₇	—	2	2	no	—
668	C₄×C₆₇	—	2	2	no	—
669	C₄×C₆₇	—	2	2	no	—
670	C₄×C₆₇	—	2	2	no	—
671	C₄×C₆₇	—	2	2	no	—
672	C₄×C₆₇	—	2	2	no	—
673	C₄×C₆₇	—	2	2	no	—
674	C₄×C₆₇	—	2	2	no	—
675	C₄×C₆₇	—	2	2	no	—
676	C₄×C₆₇	—	4	1	no	—
677	C₄×C₆₇	—	4	1	no	—
678	C₄×C₆₇	—	4	1	no	—
679	C₄×C₆₇	—	4	1	no	—
680	C₄×C₆₇	—	4	1	no	—
681	C₄×C₆₇	—	4	1	no	—
682	C₄×C₆₇	—	4	1	no	—
683	C₄×C₆₇	—	4	1	no	—
684	C₄×C₆₇	—	4	1	no	—
685	C₄×C₆₇	—	4	1	no	—
686	C₄×C₆₇	—	4	1	no	—
687	C₄×C₆₇	—	4	1	no	—
688	C₄×C₆₇	—	4	1	no	—
689	C₄×C₆₇	—	4	1	no	—
690	C₄×C₆₇	—	4	1	no	—
691	C₄×C₆₇	—	4	1	no	—
692	C₄×C₆₇	—	4	1	no	—
693	#59912	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
694	C₂×C₆₇	—	2	4	no	—
695	C₂×C₆₇	—	4	2	no	—
696	C₂×C₆₇	C₂×#554	1	1	yes	characteristic
697	C₂×C₆₇	Q₈×#41	1	1	yes	characteristic
698	C₂×C₆₇	#3482	1	1	yes	characteristic
699	C₂×C₆₇	#3490	1	1	yes	characteristic
700	C₂×C₆₇	#3503	1	1	yes	characteristic
701	C₂×C₆₇	#3514	1	1	yes	characteristic
702	C₂×C₆₇	#3535	1	1	yes	characteristic
703	#2806	C₂×C₆₇	1	1	yes	characteristic, complemented
704	#2788	C₂×C₆₇	1	1	yes	characteristic, complemented
705	#2774	C₂×C₆₇	1	1	yes	characteristic, complemented
706	#2729	C₂×C₆₇	1	1	yes	characteristic, complemented
707	#2589	C₂×C₆₇	1	1	yes	characteristic, complemented
708	#2588	C₂×C₆₇	1	1	yes	characteristic, complemented
709	#2588	C₂×C₆₇	1	1	yes	characteristic, complemented
710	#2586	C₂×C₆₇	1	1	yes	characteristic, complemented
711	#2574	C₂×C₆₇	1	1	yes	characteristic, complemented
712	#2556	C₂×C₆₇	1	1	yes	characteristic, complemented
713	#2550	C₂×C₆₇	1	1	yes	characteristic, complemented
714	#2549	C₂×C₆₇	1	1	yes	characteristic, complemented
715	#2520	C₂×C₆₇	1	1	yes	characteristic, complemented
716	#2505	C₂×C₆₇	1	1	yes	characteristic, complemented
717	#2492	C₂×C₆₇	1	1	yes	characteristic, complemented
718	#2473	C₂×C₆₇	1	1	yes	characteristic, complemented
719	#2450	C₂×C₆₇	1	1	yes	characteristic
720	#2449	C₂×C₆₇	1	1	yes	characteristic
721	#2438	C₂×C₆₇	1	1	yes	characteristic, complemented
722	#2438	C₂×C₆₇	1	1	yes	characteristic, complemented
723	#2434	C₂×C₆₇	1	1	yes	characteristic, complemented
724	#2409	C₂×C₆₇	1	1	yes	characteristic
725	#2369	C₂×C₆₇	1	1	yes	characteristic, complemented
726	#2368	C₂×C₆₇	1	1	yes	characteristic, complemented
727	#2368	C₂×C₆₇	1	1	yes	characteristic, complemented
728	#2359	C₂×C₆₇	1	1	yes	characteristic
729	#2359	C₂×C₆₇	1	1	yes	characteristic
730	#2349	C₂×C₆₇	1	1	yes	characteristic
731	C₄×#123	C₂×C₆₇	1	1	yes	characteristic
732	#2296	C₂×C₆₇	1	1	yes	characteristic, complemented
733	C₂×#391	C₂×C₆₇	1	1	yes	characteristic, complemented
734	C₆₇	#59912	1	1	yes	characteristic, direct product factor, Sylow
735	C₂³×Q₈	C₂²×C₆₇	1	1	yes	characteristic
736	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
737	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
738	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic
739	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
740	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
741	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
742	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
743	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
744	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
745	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
746	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
747	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
748	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
749	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
750	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
751	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic
752	#400	C₂²×C₆₇	1	1	yes	characteristic
753	#400	C₂²×C₆₇	1	1	yes	characteristic
754	#400	C₂²×C₆₇	1	1	yes	characteristic
755	#400	C₂²×C₆₇	1	1	yes	characteristic
756	#400	C₂²×C₆₇	1	1	yes	characteristic
757	#400	C₂²×C₆₇	1	1	yes	characteristic
758	#400	C₂²×C₆₇	1	1	yes	characteristic
759	#399	C₂²×C₆₇	1	1	yes	characteristic
760	#398	C₂²×C₆₇	1	1	yes	characteristic
761	#398	C₂²×C₆₇	1	1	yes	characteristic
762	#398	C₂²×C₆₇	1	1	yes	characteristic
763	#398	C₂²×C₆₇	1	1	yes	characteristic
764	#398	C₂²×C₆₇	1	1	yes	characteristic
765	#398	C₂²×C₆₇	1	1	yes	characteristic
766	#398	C₂²×C₆₇	1	1	yes	characteristic
767	#398	C₂²×C₆₇	1	1	yes	characteristic
768	#398	C₂²×C₆₇	1	1	yes	characteristic
769	#398	C₂²×C₆₇	1	1	yes	characteristic
770	#396	C₂²×C₆₇	1	1	yes	characteristic
771	#396	C₂²×C₆₇	1	1	yes	characteristic
772	#395	C₂²×C₆₇	1	1	yes	characteristic
773	#395	C₂²×C₆₇	1	1	yes	characteristic
774	#395	C₂²×C₆₇	1	1	yes	characteristic
775	#395	C₂²×C₆₇	1	1	yes	characteristic
776	#395	C₂²×C₆₇	1	1	yes	characteristic
777	#395	C₂²×C₆₇	1	1	yes	characteristic
778	#395	C₂²×C₆₇	1	1	yes	characteristic
779	#395	C₂²×C₆₇	1	1	yes	characteristic
780	#395	C₂²×C₆₇	1	1	yes	characteristic
781	#393	C₂²×C₆₇	1	1	yes	characteristic
782	#393	C₂²×C₆₇	1	1	yes	characteristic
783	#393	C₂²×C₆₇	1	1	yes	characteristic
784	#391	C₂²×C₆₇	1	1	yes	characteristic
785	#391	C₂²×C₆₇	1	1	yes	characteristic
786	#391	C₂²×C₆₇	1	1	yes	characteristic
787	#391	C₂²×C₆₇	1	1	yes	characteristic
788	#391	C₂²×C₆₇	1	1	yes	characteristic
789	#391	C₂²×C₆₇	1	1	yes	characteristic
790	#391	C₂²×C₆₇	1	1	yes	characteristic
791	#391	C₂²×C₆₇	1	1	yes	characteristic
792	#391	C₂²×C₆₇	1	1	yes	characteristic
793	#391	C₂²×C₆₇	1	1	yes	characteristic
794	#391	C₂²×C₆₇	1	1	yes	characteristic
795	#391	C₂²×C₆₇	1	1	yes	characteristic
796	#391	C₂²×C₆₇	1	1	yes	characteristic
797	#391	C₂²×C₆₇	1	1	yes	characteristic
798	#391	C₂²×C₆₇	1	1	yes	characteristic
799	#391	C₂²×C₆₇	1	1	yes	characteristic
800	#391	C₂²×C₆₇	1	1	yes	characteristic
801	#389	C₂²×C₆₇	1	1	yes	characteristic
802	#389	C₂²×C₆₇	1	1	yes	characteristic
803	#389	C₂²×C₆₇	1	1	yes	characteristic
804	#389	C₂²×C₆₇	1	1	yes	characteristic
805	#389	C₂²×C₆₇	1	1	yes	characteristic
806	#389	C₂²×C₆₇	1	1	yes	characteristic
807	#389	C₂²×C₆₇	1	1	yes	characteristic
808	#389	C₂²×C₆₇	1	1	yes	characteristic
809	#389	C₂²×C₆₇	1	1	yes	characteristic
810	#389	C₂²×C₆₇	1	1	yes	characteristic
811	#389	C₂²×C₆₇	1	1	yes	characteristic
812	#389	C₂²×C₆₇	1	1	yes	characteristic
813	#389	C₂²×C₆₇	1	1	yes	characteristic
814	#388	C₂²×C₆₇	1	1	yes	characteristic
815	#388	C₂²×C₆₇	1	1	yes	characteristic
816	#388	C₂²×C₆₇	1	1	yes	characteristic
817	#388	C₂²×C₆₇	1	1	yes	characteristic
818	#388	C₂²×C₆₇	1	1	yes	characteristic
819	#388	C₂²×C₆₇	1	1	yes	characteristic
820	#387	C₂²×C₆₇	1	1	yes	characteristic
821	#387	C₂²×C₆₇	1	1	yes	characteristic
822	#387	C₂²×C₆₇	1	1	yes	characteristic
823	#387	C₂²×C₆₇	1	1	yes	characteristic
824	#387	C₂²×C₆₇	1	1	yes	characteristic
825	#387	C₂²×C₆₇	1	1	yes	characteristic
826	#387	C₂²×C₆₇	1	1	yes	characteristic
827	#387	C₂²×C₆₇	1	1	yes	characteristic
828	#387	C₂²×C₆₇	1	1	yes	characteristic
829	#387	C₂²×C₆₇	1	1	yes	characteristic
830	#387	C₂²×C₆₇	1	1	yes	characteristic
831	#387	C₂²×C₆₇	1	1	yes	characteristic
832	#387	C₂²×C₆₇	1	1	yes	characteristic
833	#387	C₂²×C₆₇	1	1	yes	characteristic
834	#387	C₂²×C₆₇	1	1	yes	characteristic
835	#387	C₂²×C₆₇	1	1	yes	characteristic
836	#387	C₂²×C₆₇	1	1	yes	characteristic
837	#387	C₂²×C₆₇	1	1	yes	characteristic
838	#387	C₂²×C₆₇	1	1	yes	characteristic
839	#387	C₂²×C₆₇	1	1	yes	characteristic
840	#386	C₂²×C₆₇	1	1	yes	characteristic
841	#386	C₂²×C₆₇	1	1	yes	characteristic
842	#386	C₂²×C₆₇	1	1	yes	characteristic
843	#385	C₂²×C₆₇	1	1	yes	characteristic
844	#385	C₂²×C₆₇	1	1	yes	characteristic
845	#385	C₂²×C₆₇	1	1	yes	characteristic
846	#385	C₂²×C₆₇	1	1	yes	characteristic
847	#385	C₂²×C₆₇	1	1	yes	characteristic
848	#385	C₂²×C₆₇	1	1	yes	characteristic
849	#385	C₂²×C₆₇	1	1	yes	characteristic
850	#385	C₂²×C₆₇	1	1	yes	characteristic
851	#385	C₂²×C₆₇	1	1	yes	characteristic
852	#385	C₂²×C₆₇	1	1	yes	characteristic
853	#385	C₂²×C₆₇	1	1	yes	characteristic
854	#385	C₂²×C₆₇	1	1	yes	characteristic
855	#385	C₂²×C₆₇	1	1	yes	characteristic
856	#385	C₂²×C₆₇	1	1	yes	characteristic
857	#385	C₂²×C₆₇	1	1	yes	characteristic
858	#385	C₂²×C₆₇	1	1	yes	characteristic
859	#385	C₂²×C₆₇	1	1	yes	characteristic
860	#382	C₂²×C₆₇	1	1	yes	characteristic
861	#382	C₂²×C₆₇	1	1	yes	characteristic
862	#381	C₂²×C₆₇	1	1	yes	characteristic
863	#380	C₂²×C₆₇	1	1	yes	characteristic
864	#380	C₂²×C₆₇	1	1	yes	characteristic
865	#380	C₂²×C₆₇	1	1	yes	characteristic
866	#380	C₂²×C₆₇	1	1	yes	characteristic
867	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
868	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
869	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
870	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
871	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
872	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
873	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
874	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
875	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
876	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
877	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
878	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
879	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
880	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
881	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
882	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
883	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
884	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
885	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
886	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
887	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
888	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
889	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
890	C₂²×Q₈	—	2	4	no	—
891	C₂²×Q₈	—	4	2	no	—
892	C₂²×Q₈	—	4	2	no	—
893	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
894	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
895	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
896	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
897	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
898	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
899	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
900	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
901	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
902	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
903	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
904	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
905	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
906	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
907	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
908	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
909	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
910	C₄⋊Q₈	—	2	4	no	—
911	C₄⋊Q₈	—	4	2	no	—
912	#125	—	4	2	no	—
913	#123	Q₈×C₆₇	1	8	yes	complemented
914	C₂²⋊Q₈	—	2	4	no	—
915	C₂²⋊Q₈	—	2	4	no	—
916	C₂²⋊Q₈	—	4	2	no	—
917	C₂²⋊Q₈	—	4	2	no	—
918	C₂²⋊Q₈	—	4	2	no	—
919	C₄×D₄	—	2	4	no	—
920	C₄×D₄	—	4	2	no	—
921	C₄×D₄	—	4	2	no	—
922	#117	—	2	4	no	—
923	#117	—	4	2	no	—
924	C₂×C₄⋊C₄	—	4	2	no	—
925	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
988	C₂×C₄²	—	4	2	no	—
989	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
990	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
991	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
992	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
993	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
994	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
995	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
996	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
997	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
998	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
999	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1000	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1001	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1002	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1003	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1004	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1005	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1006	#95	C₂³×C₆₇	1	1	yes	characteristic
1007	#95	C₂³×C₆₇	1	1	yes	characteristic
1008	#95	C₂³×C₆₇	1	1	yes	characteristic
1009	#95	C₂³×C₆₇	1	1	yes	characteristic
1010	#95	C₂³×C₆₇	1	1	yes	characteristic
1011	#95	C₂³×C₆₇	1	1	yes	characteristic
1012	#95	C₂³×C₆₇	1	1	yes	characteristic
1013	#95	C₂³×C₆₇	1	1	yes	characteristic
1014	#95	C₂³×C₆₇	1	1	yes	characteristic
1015	#95	C₂³×C₆₇	1	1	yes	characteristic
1016	#95	C₂³×C₆₇	1	1	yes	characteristic
1017	#95	C₂³×C₆₇	1	1	yes	characteristic
1018	#95	C₂³×C₆₇	1	1	yes	characteristic
1019	#95	C₂³×C₆₇	1	1	yes	characteristic
1020	#95	C₂³×C₆₇	1	1	yes	characteristic
1021	#95	C₂³×C₆₇	1	1	yes	characteristic
1022	#95	C₂³×C₆₇	1	1	yes	characteristic
1023	#95	C₂³×C₆₇	1	1	yes	characteristic
1024	#95	C₂³×C₆₇	1	1	yes	characteristic
1025	#95	C₂³×C₆₇	1	1	yes	characteristic
1026	#95	C₂³×C₆₇	1	1	yes	characteristic
1027	#95	C₂³×C₆₇	1	1	yes	characteristic
1028	#95	C₂³×C₆₇	1	1	yes	characteristic
1029	#95	C₂³×C₆₇	1	1	yes	characteristic
1030	#95	C₂³×C₆₇	1	1	yes	characteristic
1031	#95	C₂³×C₆₇	1	1	yes	characteristic
1032	#95	C₂³×C₆₇	1	1	yes	characteristic
1033	#95	C₂³×C₆₇	1	1	yes	characteristic
1034	#95	C₂³×C₆₇	1	1	yes	characteristic
1035	#95	C₂³×C₆₇	1	1	yes	characteristic
1036	#95	C₂³×C₆₇	1	1	yes	characteristic
1037	#95	C₂³×C₆₇	1	1	yes	characteristic
1038	#95	C₂³×C₆₇	1	1	yes	characteristic
1039	#95	C₂³×C₆₇	1	1	yes	characteristic
1040	#95	C₂³×C₆₇	1	1	yes	characteristic
1041	#95	C₂³×C₆₇	1	1	yes	characteristic
1042	#95	C₂³×C₆₇	1	1	yes	characteristic
1043	#95	C₂³×C₆₇	1	1	yes	characteristic
1044	#95	C₂³×C₆₇	1	1	yes	characteristic
1045	#95	C₂³×C₆₇	1	1	yes	characteristic
1046	#95	C₂³×C₆₇	1	1	yes	characteristic
1047	#95	C₂³×C₆₇	1	1	yes	characteristic
1048	#95	C₂³×C₆₇	1	1	yes	characteristic
1049	#95	C₂³×C₆₇	1	1	yes	characteristic
1050	#95	C₂³×C₆₇	1	1	yes	characteristic
1051	#95	C₂³×C₆₇	1	1	yes	characteristic
1052	#95	C₂³×C₆₇	1	1	yes	characteristic
1053	#95	C₂³×C₆₇	1	1	yes	characteristic
1054	#95	C₂³×C₆₇	1	1	yes	characteristic
1055	#95	C₂³×C₆₇	1	1	yes	characteristic
1056	#95	C₂³×C₆₇	1	1	yes	characteristic
1057	#95	C₂³×C₆₇	1	1	yes	characteristic
1058	#95	C₂³×C₆₇	1	1	yes	characteristic
1059	#95	C₂³×C₆₇	1	1	yes	characteristic
1060	#95	C₂³×C₆₇	1	1	yes	characteristic
1061	#95	C₂³×C₆₇	1	1	yes	characteristic
1062	#95	C₂³×C₆₇	1	1	yes	characteristic
1063	#95	C₂³×C₆₇	1	1	yes	characteristic
1064	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1065	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1066	C₂×Q₈	—	2	2	no	—
1067	C₂×Q₈	—	2	2	no	—
1068	C₂×Q₈	—	2	2	no	—
1069	C₂×Q₈	—	2	2	no	—
1070	C₂×Q₈	—	2	2	no	—
1071	C₂×Q₈	—	2	2	no	—
1072	C₂×Q₈	—	2	2	no	—
1073	C₂×Q₈	—	4	1	no	—
1074	C₂×Q₈	—	4	1	no	—
1075	C₂×Q₈	—	4	1	no	—
1076	C₂×Q₈	—	4	1	no	—
1077	C₂×Q₈	—	4	1	no	—
1078	C₂×Q₈	—	4	1	no	—
1079	C₂×Q₈	—	4	1	no	—
1080	C₂×Q₈	—	4	1	no	—
1081	C₂×Q₈	—	4	1	no	—
1082	C₂×Q₈	—	4	1	no	—
1083	C₂×Q₈	—	4	16	no	—
1084	C₂×Q₈	#41×C₆₇	1	4	yes	—
1085	C₂×D₄	—	2	2	no	—
1086	C₂×D₄	—	2	2	no	—
1087	C₂×D₄	C₂×Q₈×C₆₇	1	4	yes	—
1088	C₂²×C₄	—	2	2	no	—
1089	C₂²×C₄	—	2	2	no	—
1090	C₂²×C₄	—	2	2	no	—
1091	C₂²×C₄	—	2	2	no	—
1092	C₂²×C₄	—	2	2	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	2	no	—
1096	C₂²×C₄	—	2	2	no	—
1097	C₂²×C₄	—	2	2	no	—
1098	C₂²×C₄	—	2	2	no	—
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	2	2	no	—
1104	C₂²×C₄	—	4	1	no	—
1105	C₂²×C₄	—	4	1	no	—
1106	C₂²×C₄	—	4	1	no	—
1107	C₂²×C₄	—	4	1	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	4	1	no	—
1110	C₂²×C₄	—	4	1	no	—
1111	C₂²×C₄	—	4	1	no	—
1112	C₂²×C₄	—	4	1	no	—
1113	C₂²×C₄	—	4	1	no	—
1114	C₂²×C₄	—	4	1	no	—
1115	C₂²×C₄	—	4	1	no	—
1116	C₂²×C₄	—	4	1	no	—
1117	C₂²×C₄	C₂×Q₈×C₆₇	1	4	yes	—
1118	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1123	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1124	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1125	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1131	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1132	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1133	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1134	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1135	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1136	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1141	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1142	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1143	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1147	C₄⋊C₄	—	2	2	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	2	no	—
1153	C₄⋊C₄	—	2	2	no	—
1154	C₄⋊C₄	—	2	2	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	2	2	no	—
1165	C₄⋊C₄	—	2	2	no	—
1166	C₄⋊C₄	—	2	2	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	C₂×Q₈×C₆₇	1	4	yes	complemented
1191	C₄⋊C₄	C₂×Q₈×C₆₇	1	4	yes	complemented
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	2	2	no	—
1199	C₂²⋊C₄	—	2	2	no	—
1200	C₂²⋊C₄	—	2	2	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	—	4	1	no	—
1204	C₂²⋊C₄	—	4	1	no	—
1205	C₂²⋊C₄	—	4	1	no	—
1206	C₂²⋊C₄	C₂×Q₈×C₆₇	1	4	yes	—
1207	C₂²⋊C₄	C₂×Q₈×C₆₇	1	4	yes	complemented
1208	C₂²⋊C₄	C₂×Q₈×C₆₇	1	4	yes	complemented
1209	C₂²⋊C₄	#41×C₆₇	1	4	yes	—
1210	C₄²	—	2	2	no	—
1211	C₄²	—	2	2	no	—
1212	C₄²	—	2	2	no	—
1213	C₄²	—	2	2	no	—
1214	C₄²	—	2	2	no	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	—	4	1	no	—
1219	C₄²	—	4	1	no	—
1220	C₄²	—	4	1	no	—
1221	C₄²	—	4	1	no	—
1222	C₄²	—	4	1	no	—
1223	C₄²	—	4	1	no	—
1224	C₄²	—	4	1	no	—
1225	C₄²	—	4	1	no	—
1226	C₄²	—	4	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	2	1	no	—
1234	C₂³	—	2	1	no	—
1235	C₂³	—	2	1	no	—
1236	C₂³	—	2	1	no	—
1237	C₂³	C₂²×Q₈×C₆₇	1	2	yes	—
1238	C₂³	C₂²×Q₈×C₆₇	1	2	yes	—
1239	C₂³	C₂×#41×C₆₇	1	2	yes	—
1240	C₂³	H(5,𝔽₂)×C₆₇	1	2	yes	—
1241	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1242	Q₈	—	4	4	no	—
1243	Q₈	—	4	4	no	—
1244	Q₈	—	4	4	no	—
1245	Q₈	—	4	4	no	—
1246	Q₈	—	8	2	no	—
1247	Q₈	—	8	2	no	—
1248	D₄	—	2	8	no	—
1249	C₂×C₄	—	2	8	no	—
1250	C₂×C₄	—	2	8	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	4	4	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	8	2	no	—
1330	C₂×C₄	—	8	2	no	—
1331	C₂×C₄	—	8	2	no	—
1332	C₂×C₄	—	8	2	no	—
1333	C₂×C₄	—	8	2	no	—
1334	C₂×C₄	C₂²×Q₈×C₆₇	1	2	yes	—
1335	C₂×C₄	C₂²×Q₈×C₆₇	1	2	yes	—
1336	C₂×C₄	C₂²×Q₈×C₆₇	1	2	yes	—
1337	C₂×C₄	C₂²×Q₈×C₆₇	1	2	yes	—
1338	C₂×C₄	C₂²×Q₈×C₆₇	1	2	yes	—
1339	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1340	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1341	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1342	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1343	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1344	C₂×C₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1345	C₂×C₄	2₋¹⁺⁴×C₆₇	1	2	yes	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	2	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	2	2	no	—
1355	C₂²	—	4	1	no	—
1356	C₂²	—	4	1	no	—
1357	C₂²	—	4	1	no	—
1358	C₂²	—	4	1	no	—
1359	C₂²	#554×C₆₇	1	4	yes	—
1360	C₂²	C₂³×Q₈×C₆₇	1	1	yes	characteristic
1361	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1362	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1363	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1364	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1365	C₂²	C₂×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
1366	C₂²	#585×C₆₇	1	1	yes	characteristic
1367	C₄	—	2	2	no	—
1368	C₄	—	2	2	no	—
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	2	2	no	—
1374	C₄	—	2	2	no	—
1375	C₄	—	2	2	no	—
1376	C₄	—	2	2	no	—
1377	C₄	—	2	2	no	—
1378	C₄	—	2	2	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	4	1	no	—
1392	C₄	—	4	1	no	—
1393	C₄	—	4	1	no	—
1394	C₄	—	4	1	no	—
1395	C₄	—	4	1	no	—
1396	C₂	—	2	4	no	—
1397	C₂	—	4	2	no	—
1398	C₂	C₂×#554×C₆₇	1	1	yes	characteristic
1399	C₂	Q₈×#41×C₆₇	1	1	yes	characteristic
1400	C₂	C₆₇×#3482	1	1	yes	characteristic
1401	C₂	C₆₇×#3490	1	1	yes	characteristic
1402	C₂	C₆₇×#3503	1	1	yes	characteristic
1403	C₂	C₆₇×#3514	1	1	yes	characteristic
1404	C₂	C₆₇×#3535	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₆₇
prime radical	C₂²×D₄×C₆₇	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#2806	C₂	semidirect
2. C₆₇×#2788	C₂	semidirect
3. C₆₇×#2774	C₂	semidirect
4. C₆₇×#2729	C₂	semidirect
5. C₆₇×#2589	C₂	semidirect
6. C₆₇×#2588	C₂	semidirect
7. C₆₇×#2588	C₂	semidirect
8. C₆₇×#2586	C₂	semidirect
9. C₆₇×#2574	C₂	semidirect
10. C₆₇×#2556	C₂	semidirect
11. C₆₇×#2550	C₂	semidirect
12. C₆₇×#2549	C₂	semidirect
13. C₆₇×#2520	C₂	semidirect
14. C₆₇×#2505	C₂	semidirect
15. C₆₇×#2492	C₂	semidirect
16. C₆₇×#2473	C₂	semidirect
19. C₆₇×#2438	C₂	semidirect
20. C₆₇×#2438	C₂	semidirect
21. C₆₇×#2434	C₂	semidirect
23. C₆₇×#2369	C₂	semidirect
24. C₆₇×#2368	C₂	semidirect
25. C₆₇×#2368	C₂	semidirect
30. C₆₇×#2296	C₂	semidirect
31. C₂×#391×C₆₇	C₂	semidirect
210. #123×C₆₇	Q₈	semidirect
487. C₄⋊C₄×C₆₇	C₂×Q₈	semidirect
488. C₄⋊C₄×C₆₇	C₂×Q₈	semidirect
504. C₂²⋊C₄×C₆₇	C₂×Q₈	semidirect
505. C₂²⋊C₄×C₆₇	C₂×Q₈	semidirect
693. #59912	C₆₇	direct (N × H)
703. #2806	C₂×C₆₇	semidirect
704. #2788	C₂×C₆₇	semidirect
705. #2774	C₂×C₆₇	semidirect
706. #2729	C₂×C₆₇	semidirect
707. #2589	C₂×C₆₇	semidirect
708. #2588	C₂×C₆₇	semidirect
709. #2588	C₂×C₆₇	semidirect
710. #2586	C₂×C₆₇	semidirect
711. #2574	C₂×C₆₇	semidirect
712. #2556	C₂×C₆₇	semidirect
713. #2550	C₂×C₆₇	semidirect
714. #2549	C₂×C₆₇	semidirect
715. #2520	C₂×C₆₇	semidirect
716. #2505	C₂×C₆₇	semidirect
717. #2492	C₂×C₆₇	semidirect
718. #2473	C₂×C₆₇	semidirect
721. #2438	C₂×C₆₇	semidirect
722. #2438	C₂×C₆₇	semidirect
723. #2434	C₂×C₆₇	semidirect
725. #2369	C₂×C₆₇	semidirect
726. #2368	C₂×C₆₇	semidirect
727. #2368	C₂×C₆₇	semidirect
732. #2296	C₂×C₆₇	semidirect
733. C₂×#391	C₂×C₆₇	semidirect
734. C₆₇	#59912	direct (N × H)
913. #123	Q₈×C₆₇	semidirect
1190. C₄⋊C₄	C₂×Q₈×C₆₇	semidirect
1191. C₄⋊C₄	C₂×Q₈×C₆₇	semidirect
1207. C₂²⋊C₄	C₂×Q₈×C₆₇	semidirect
1208. C₂²⋊C₄	C₂×Q₈×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₆₇×#2806	2
C₆₇×#2788	2
C₆₇×#2774	2
C₆₇×#2729	2
C₆₇×#2589	2
C₆₇×#2588	2
C₆₇×#2586	2
C₆₇×#2574	2
C₆₇×#2556	2
C₆₇×#2550	2
C₆₇×#2549	2
C₆₇×#2520	2
C₆₇×#2505	2
C₆₇×#2492	2
C₆₇×#2473	2
C₆₇×#2450	2
C₆₇×#2449	2
C₆₇×#2438	2
C₆₇×#2434	2
C₆₇×#2409	2
C₆₇×#2369	2
C₆₇×#2368	2
C₆₇×#2359	2
C₆₇×#2349	2
C₄×#123×C₆₇	2
C₆₇×#2296	2
C₂×#391×C₆₇	2
#59912	67

Subgroups — C67×#59912 #30739163

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#59912 #30739163