Subgroups — C₆₇×#59422 #30738673

Order 17152.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#2788	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₇×#2783	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#2759	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#2689	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#2604	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#2599	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#2596	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#2594	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#2583	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#2577	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2573	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#2561	C₂	1	1	yes	maximal, characteristic
13	C₆₇×#2525	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#2525	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#2494	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#2493	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#2493	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#2480	C₂	1	1	yes	maximal, characteristic
19	C₆₇×#2480	C₂	1	1	yes	maximal, characteristic
20	C₆₇×#2469	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#2438	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2437	C₂	1	1	yes	maximal, characteristic
23	C₆₇×#2373	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#2362	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#2345	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#2343	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#2342	C₂	1	1	yes	maximal, characteristic
28	C₆₇×#2342	C₂	1	1	yes	maximal, characteristic
29	C₄×C₂²⋊Q₈×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊Q₈×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#388×C₆₇	C₂	1	1	yes	maximal, characteristic
32	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
33	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
34	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
35	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
36	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
39	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
40	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
41	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
42	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
43	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
44	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
45	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic
47	#401×C₆₇	C₂²	1	1	yes	characteristic, complemented
48	#401×C₆₇	C₂²	1	1	yes	characteristic, complemented
49	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
50	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
51	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
52	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
53	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
54	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
55	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
56	#399×C₆₇	C₂²	1	1	yes	characteristic
57	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
58	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
59	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
60	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
61	#397×C₆₇	C₂²	1	1	yes	characteristic
62	#397×C₆₇	C₂²	1	1	yes	characteristic
63	#397×C₆₇	C₂²	1	1	yes	characteristic
64	#397×C₆₇	C₂²	1	1	yes	characteristic
65	#397×C₆₇	C₂²	1	1	yes	characteristic
66	#397×C₆₇	C₂²	1	1	yes	characteristic
67	#397×C₆₇	C₂²	1	1	yes	characteristic
68	#397×C₆₇	C₂²	1	1	yes	characteristic
69	#396×C₆₇	C₂²	1	1	yes	characteristic
70	#396×C₆₇	C₂²	1	1	yes	characteristic
71	#396×C₆₇	C₂²	1	1	yes	characteristic
72	#396×C₆₇	C₂²	1	1	yes	characteristic
73	#395×C₆₇	C₂²	1	1	yes	characteristic, complemented
74	#395×C₆₇	C₂²	1	1	yes	characteristic, complemented
75	#395×C₆₇	C₂²	1	1	yes	characteristic, complemented
76	#393×C₆₇	C₂²	1	1	yes	characteristic
77	#393×C₆₇	C₂²	1	1	yes	characteristic
78	#393×C₆₇	C₂²	1	1	yes	characteristic
79	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
80	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
81	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
82	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
83	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
84	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
85	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
86	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
88	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
89	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
90	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
91	#388×C₆₇	C₂²	1	1	yes	characteristic
92	#388×C₆₇	C₂²	1	1	yes	characteristic
93	#388×C₆₇	C₂²	1	1	yes	characteristic
94	#388×C₆₇	C₂²	1	1	yes	characteristic
95	#388×C₆₇	C₂²	1	1	yes	characteristic
96	#388×C₆₇	C₂²	1	1	yes	characteristic
97	#388×C₆₇	C₂²	1	1	yes	characteristic
98	#388×C₆₇	C₂²	1	1	yes	characteristic
99	#388×C₆₇	C₂²	1	1	yes	characteristic
100	#388×C₆₇	C₂²	1	1	yes	characteristic
101	#388×C₆₇	C₂²	1	1	yes	characteristic
102	#388×C₆₇	C₂²	1	1	yes	characteristic
103	#388×C₆₇	C₂²	1	1	yes	characteristic
104	#388×C₆₇	C₂²	1	1	yes	characteristic
105	#388×C₆₇	C₂²	1	1	yes	characteristic
106	#388×C₆₇	C₂²	1	1	yes	characteristic
107	#388×C₆₇	C₂²	1	1	yes	characteristic
108	#388×C₆₇	C₂²	1	1	yes	characteristic
109	#388×C₆₇	C₂²	1	1	yes	characteristic
110	#388×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, complemented
118	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
119	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
120	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
121	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
122	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
123	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
124	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
125	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
126	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
128	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
129	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
130	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
131	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
132	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#385×C₆₇	C₂²	1	1	yes	characteristic
138	#385×C₆₇	C₂²	1	1	yes	characteristic
139	#385×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	#383×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#383×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#383×C₆₇	C₂²	1	1	yes	characteristic, complemented
152	#382×C₆₇	C₂²	1	1	yes	characteristic, complemented
153	#381×C₆₇	C₂²	1	1	yes	characteristic
154	#381×C₆₇	C₂²	1	1	yes	characteristic
155	#381×C₆₇	C₂²	1	1	yes	characteristic
156	#381×C₆₇	C₂²	1	1	yes	characteristic
157	#380×C₆₇	C₂²	1	1	yes	characteristic
158	#380×C₆₇	C₂²	1	1	yes	characteristic
159	#380×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	#379×C₆₇	C₂²	1	1	yes	characteristic
164	#379×C₆₇	C₂²	1	1	yes	characteristic
165	#379×C₆₇	C₂²	1	1	yes	characteristic
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×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
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	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
184	#376×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
186	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
187	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
198	#126×C₆₇	—	2	4	no	—
199	#126×C₆₇	—	4	2	no	—
200	C₂²⋊Q₈×C₆₇	—	2	4	no	—
201	C₂²⋊Q₈×C₆₇	—	2	4	no	—
202	C₂²⋊Q₈×C₆₇	—	2	4	no	—
203	C₄×Q₈×C₆₇	—	4	2	no	—
204	C₄×Q₈×C₆₇	—	4	2	no	—
205	#117×C₆₇	—	2	4	no	—
206	#117×C₆₇	—	4	2	no	—
207	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
208	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₆₇	—	2	4	no	—
245	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
246	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
247	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
248	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊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×C₄²×C₆₇	—	4	2	no	—
283	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
284	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
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	#95×C₆₇	C₂³	1	1	yes	characteristic
302	#95×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	C₂⁴×C₆₇	—	2	2	no	—
358	C₂⁴×C₆₇	—	2	2	no	—
359	C₂⁴×C₆₇	—	2	2	no	—
360	C₂⁴×C₆₇	—	2	2	no	—
361	C₂⁴×C₆₇	—	4	1	no	—
362	C₂⁴×C₆₇	—	4	1	no	—
363	C₂⁴×C₆₇	—	4	1	no	—
364	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
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	C₂²×C₄×C₆₇	—	2	2	no	—
374	C₂²×C₄×C₆₇	—	2	2	no	—
375	C₂²×C₄×C₆₇	—	2	2	no	—
376	C₂²×C₄×C₆₇	—	2	2	no	—
377	C₂²×C₄×C₆₇	—	2	2	no	—
378	C₂²×C₄×C₆₇	—	2	2	no	—
379	C₂²×C₄×C₆₇	—	2	2	no	—
380	C₂²×C₄×C₆₇	—	2	2	no	—
381	C₂²×C₄×C₆₇	—	2	2	no	—
382	C₂²×C₄×C₆₇	—	2	2	no	—
383	C₂²×C₄×C₆₇	—	2	2	no	—
384	C₂²×C₄×C₆₇	—	2	2	no	—
385	C₂²×C₄×C₆₇	—	2	2	no	—
386	C₂²×C₄×C₆₇	—	4	1	no	—
387	C₂²×C₄×C₆₇	—	4	1	no	—
388	C₂²×C₄×C₆₇	—	4	1	no	—
389	C₂²×C₄×C₆₇	—	4	1	no	—
390	C₂²×C₄×C₆₇	—	4	1	no	—
391	C₂²×C₄×C₆₇	—	4	1	no	—
392	C₂²×C₄×C₆₇	—	4	1	no	—
393	C₂²×C₄×C₆₇	—	4	1	no	—
394	C₂²×C₄×C₆₇	—	4	1	no	—
395	C₂²×C₄×C₆₇	—	4	1	no	—
396	C₂²×C₄×C₆₇	#41	1	4	yes	—
397	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₆₇	—	2	2	no	—
426	C₄⋊C₄×C₆₇	—	2	2	no	—
427	C₄⋊C₄×C₆₇	—	2	2	no	—
428	C₄⋊C₄×C₆₇	—	2	2	no	—
429	C₄⋊C₄×C₆₇	—	2	2	no	—
430	C₄⋊C₄×C₆₇	—	2	2	no	—
431	C₄⋊C₄×C₆₇	—	2	2	no	—
432	C₄⋊C₄×C₆₇	—	2	2	no	—
433	C₄⋊C₄×C₆₇	—	2	2	no	—
434	C₄⋊C₄×C₆₇	—	2	2	no	—
435	C₄⋊C₄×C₆₇	—	2	2	no	—
436	C₄⋊C₄×C₆₇	—	2	2	no	—
437	C₄⋊C₄×C₆₇	—	2	2	no	—
438	C₄⋊C₄×C₆₇	—	2	2	no	—
439	C₄⋊C₄×C₆₇	—	2	2	no	—
440	C₄⋊C₄×C₆₇	—	2	2	no	—
441	C₄⋊C₄×C₆₇	—	2	2	no	—
442	C₄⋊C₄×C₆₇	—	2	2	no	—
443	C₄⋊C₄×C₆₇	—	2	2	no	—
444	C₄⋊C₄×C₆₇	—	2	2	no	—
445	C₄⋊C₄×C₆₇	—	4	1	no	—
446	C₄⋊C₄×C₆₇	—	4	1	no	—
447	C₄⋊C₄×C₆₇	—	4	1	no	—
448	C₄⋊C₄×C₆₇	—	4	1	no	—
449	C₄⋊C₄×C₆₇	—	4	1	no	—
450	C₄⋊C₄×C₆₇	—	4	1	no	—
451	C₄⋊C₄×C₆₇	—	4	1	no	—
452	C₄⋊C₄×C₆₇	—	4	1	no	—
453	C₄⋊C₄×C₆₇	—	4	1	no	—
454	C₄⋊C₄×C₆₇	—	4	1	no	—
455	C₄⋊C₄×C₆₇	—	4	1	no	—
456	C₄⋊C₄×C₆₇	—	4	1	no	—
457	C₄⋊C₄×C₆₇	—	4	1	no	—
458	C₄⋊C₄×C₆₇	—	4	1	no	—
459	C₄⋊C₄×C₆₇	—	4	1	no	—
460	C₄⋊C₄×C₆₇	—	4	1	no	—
461	C₂²⋊C₄×C₆₇	—	2	2	no	—
462	C₂²⋊C₄×C₆₇	—	2	2	no	—
463	C₂²⋊C₄×C₆₇	—	2	2	no	—
464	C₂²⋊C₄×C₆₇	—	2	2	no	—
465	C₂²⋊C₄×C₆₇	—	2	2	no	—
466	C₂²⋊C₄×C₆₇	—	2	2	no	—
467	C₂²⋊C₄×C₆₇	—	2	2	no	—
468	C₂²⋊C₄×C₆₇	—	2	2	no	—
469	C₂²⋊C₄×C₆₇	—	2	2	no	—
470	C₂²⋊C₄×C₆₇	—	2	2	no	—
471	C₂²⋊C₄×C₆₇	—	2	2	no	—
472	C₂²⋊C₄×C₆₇	—	2	2	no	—
473	C₂²⋊C₄×C₆₇	—	2	2	no	—
474	C₂²⋊C₄×C₆₇	—	2	2	no	—
475	C₂²⋊C₄×C₆₇	—	2	2	no	—
476	C₂²⋊C₄×C₆₇	—	2	2	no	—
477	C₂²⋊C₄×C₆₇	—	2	2	no	—
478	C₂²⋊C₄×C₆₇	—	2	2	no	—
479	C₂²⋊C₄×C₆₇	—	2	2	no	—
480	C₂²⋊C₄×C₆₇	—	2	2	no	—
481	C₂²⋊C₄×C₆₇	—	2	2	no	—
482	C₂²⋊C₄×C₆₇	—	4	1	no	—
483	C₂²⋊C₄×C₆₇	—	4	1	no	—
484	C₂²⋊C₄×C₆₇	—	4	1	no	—
485	C₂²⋊C₄×C₆₇	—	4	1	no	—
486	C₂²⋊C₄×C₆₇	—	4	1	no	—
487	C₂²⋊C₄×C₆₇	—	4	1	no	—
488	C₂²⋊C₄×C₆₇	—	4	1	no	—
489	C₂²⋊C₄×C₆₇	—	4	1	no	—
490	C₂²⋊C₄×C₆₇	—	4	1	no	—
491	C₂²⋊C₄×C₆₇	—	4	1	no	—
492	C₂²⋊C₄×C₆₇	—	4	1	no	—
493	C₂²⋊C₄×C₆₇	#41	1	4	yes	—
494	C₂²⋊C₄×C₆₇	#41	1	4	yes	—
495	C₄²×C₆₇	—	2	2	no	—
496	C₄²×C₆₇	—	2	2	no	—
497	C₄²×C₆₇	—	2	2	no	—
498	C₄²×C₆₇	—	2	2	no	—
499	C₄²×C₆₇	—	2	2	no	—
500	C₄²×C₆₇	—	2	2	no	—
501	C₄²×C₆₇	—	2	2	no	—
502	C₄²×C₆₇	—	4	1	no	—
503	C₄²×C₆₇	—	4	1	no	—
504	C₄²×C₆₇	—	4	1	no	—
505	C₄²×C₆₇	—	4	1	no	—
506	C₄²×C₆₇	—	4	1	no	—
507	C₄²×C₆₇	—	4	1	no	—
508	C₄²×C₆₇	—	4	1	no	—
509	C₄²×C₆₇	—	4	1	no	—
510	C₄²×C₆₇	—	4	1	no	—
511	C₄²×C₆₇	—	4	1	no	—
512	C₄²×C₆₇	—	4	1	no	—
513	C₂³×C₆₇	—	2	1	no	—
514	C₂³×C₆₇	—	2	1	no	—
515	C₂³×C₆₇	—	2	1	no	—
516	C₂³×C₆₇	—	2	1	no	—
517	C₂³×C₆₇	—	2	1	no	—
518	C₂³×C₆₇	—	2	1	no	—
519	C₂³×C₆₇	—	2	1	no	—
520	C₂³×C₆₇	—	2	1	no	—
521	C₂³×C₆₇	—	2	1	no	—
522	C₂³×C₆₇	—	2	1	no	—
523	C₂³×C₆₇	—	2	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	—	4	4	no	—
531	C₂³×C₆₇	—	4	4	no	—
532	C₂³×C₆₇	—	4	4	no	—
533	C₂³×C₆₇	—	4	4	no	—
534	C₂³×C₆₇	—	8	2	no	—
535	C₂³×C₆₇	—	8	2	no	—
536	C₂³×C₆₇	—	8	2	no	—
537	C₂³×C₆₇	C₂×#41	1	2	yes	—
538	C₂³×C₆₇	C₂×#41	1	2	yes	—
539	C₂³×C₆₇	C₂×#41	1	2	yes	—
540	C₂³×C₆₇	2₋¹⁺⁴	1	2	yes	—
541	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
542	Q₈×C₆₇	—	4	4	no	—
543	Q₈×C₆₇	—	4	4	no	—
544	C₂×C₄×C₆₇	—	2	1	no	—
545	C₂×C₄×C₆₇	—	2	1	no	—
546	C₂×C₄×C₆₇	—	2	1	no	—
547	C₂×C₄×C₆₇	—	2	1	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	—	4	4	no	—
622	C₂×C₄×C₆₇	—	4	4	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	—	4	4	no	—
627	C₂×C₄×C₆₇	—	8	2	no	—
628	C₂×C₄×C₆₇	—	8	2	no	—
629	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
630	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
631	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
632	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
633	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
634	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
635	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
636	C₂²×C₆₇	—	2	2	no	—
637	C₂²×C₆₇	—	2	2	no	—
638	C₂²×C₆₇	—	2	2	no	—
639	C₂²×C₆₇	—	2	2	no	—
640	C₂²×C₆₇	—	2	2	no	—
641	C₂²×C₆₇	—	2	2	no	—
642	C₂²×C₆₇	—	2	2	no	—
643	C₂²×C₆₇	—	2	2	no	—
644	C₂²×C₆₇	—	2	2	no	—
645	C₂²×C₆₇	—	4	1	no	—
646	C₂²×C₆₇	—	4	1	no	—
647	C₂²×C₆₇	—	4	1	no	—
648	C₂²×C₆₇	—	4	1	no	—
649	C₂²×C₆₇	—	4	1	no	—
650	C₂²×C₆₇	—	4	1	no	—
651	C₂²×C₆₇	—	4	1	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	—	8	8	no	—
657	C₂²×C₆₇	#556	1	4	yes	—
658	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
659	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
660	C₂²×C₆₇	C₂²×#41	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	C₂²×C₆₇	#585	1	1	yes	characteristic
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	—	4	1	no	—
673	C₄×C₆₇	—	4	1	no	—
674	C₄×C₆₇	—	4	1	no	—
675	C₄×C₆₇	—	4	1	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	#59422	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	—	8	1	no	—
697	C₂×C₆₇	C₂×#556	1	1	yes	characteristic
698	C₂×C₆₇	#3475	1	1	yes	characteristic
699	C₂×C₆₇	#3481	1	1	yes	characteristic
700	C₂×C₆₇	#3495	1	1	yes	characteristic
701	C₂×C₆₇	#3505	1	1	yes	characteristic
702	C₂×C₆₇	#3521	1	1	yes	characteristic
703	C₂×C₆₇	#3535	1	1	yes	characteristic
704	#2788	C₂×C₆₇	1	1	yes	characteristic, complemented
705	#2783	C₂×C₆₇	1	1	yes	characteristic, complemented
706	#2759	C₂×C₆₇	1	1	yes	characteristic, complemented
707	#2689	C₂×C₆₇	1	1	yes	characteristic, complemented
708	#2604	C₂×C₆₇	1	1	yes	characteristic, complemented
709	#2599	C₂×C₆₇	1	1	yes	characteristic, complemented
710	#2596	C₂×C₆₇	1	1	yes	characteristic, complemented
711	#2594	C₂×C₆₇	1	1	yes	characteristic, complemented
712	#2583	C₂×C₆₇	1	1	yes	characteristic, complemented
713	#2577	C₂×C₆₇	1	1	yes	characteristic, complemented
714	#2573	C₂×C₆₇	1	1	yes	characteristic, complemented
715	#2561	C₂×C₆₇	1	1	yes	characteristic
716	#2525	C₂×C₆₇	1	1	yes	characteristic, complemented
717	#2525	C₂×C₆₇	1	1	yes	characteristic, complemented
718	#2494	C₂×C₆₇	1	1	yes	characteristic, complemented
719	#2493	C₂×C₆₇	1	1	yes	characteristic, complemented
720	#2493	C₂×C₆₇	1	1	yes	characteristic, complemented
721	#2480	C₂×C₆₇	1	1	yes	characteristic
722	#2480	C₂×C₆₇	1	1	yes	characteristic
723	#2469	C₂×C₆₇	1	1	yes	characteristic, complemented
724	#2438	C₂×C₆₇	1	1	yes	characteristic, complemented
725	#2437	C₂×C₆₇	1	1	yes	characteristic
726	#2373	C₂×C₆₇	1	1	yes	characteristic, complemented
727	#2362	C₂×C₆₇	1	1	yes	characteristic, complemented
728	#2345	C₂×C₆₇	1	1	yes	characteristic, complemented
729	#2343	C₂×C₆₇	1	1	yes	characteristic, complemented
730	#2342	C₂×C₆₇	1	1	yes	characteristic
731	#2342	C₂×C₆₇	1	1	yes	characteristic
732	C₄×C₂²⋊Q₈	C₂×C₆₇	1	1	yes	characteristic, complemented
733	C₄×C₂²⋊Q₈	C₂×C₆₇	1	1	yes	characteristic, complemented
734	C₂×#388	C₂×C₆₇	1	1	yes	characteristic
735	C₆₇	#59422	1	1	yes	characteristic, direct product factor, Sylow
736	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic
737	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic
738	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
739	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
740	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
741	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
742	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
743	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
744	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
745	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
746	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
747	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
748	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
749	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
750	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic
751	#401	C₂²×C₆₇	1	1	yes	characteristic, complemented
752	#401	C₂²×C₆₇	1	1	yes	characteristic, complemented
753	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
754	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
755	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
756	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
757	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
758	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
759	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
760	#399	C₂²×C₆₇	1	1	yes	characteristic
761	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
762	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
763	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
764	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
765	#397	C₂²×C₆₇	1	1	yes	characteristic
766	#397	C₂²×C₆₇	1	1	yes	characteristic
767	#397	C₂²×C₆₇	1	1	yes	characteristic
768	#397	C₂²×C₆₇	1	1	yes	characteristic
769	#397	C₂²×C₆₇	1	1	yes	characteristic
770	#397	C₂²×C₆₇	1	1	yes	characteristic
771	#397	C₂²×C₆₇	1	1	yes	characteristic
772	#397	C₂²×C₆₇	1	1	yes	characteristic
773	#396	C₂²×C₆₇	1	1	yes	characteristic
774	#396	C₂²×C₆₇	1	1	yes	characteristic
775	#396	C₂²×C₆₇	1	1	yes	characteristic
776	#396	C₂²×C₆₇	1	1	yes	characteristic
777	#395	C₂²×C₆₇	1	1	yes	characteristic, complemented
778	#395	C₂²×C₆₇	1	1	yes	characteristic, complemented
779	#395	C₂²×C₆₇	1	1	yes	characteristic, complemented
780	#393	C₂²×C₆₇	1	1	yes	characteristic
781	#393	C₂²×C₆₇	1	1	yes	characteristic
782	#393	C₂²×C₆₇	1	1	yes	characteristic
783	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
784	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
785	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
786	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
787	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
788	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
789	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
790	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
791	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
792	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
793	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
794	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
795	#388	C₂²×C₆₇	1	1	yes	characteristic
796	#388	C₂²×C₆₇	1	1	yes	characteristic
797	#388	C₂²×C₆₇	1	1	yes	characteristic
798	#388	C₂²×C₆₇	1	1	yes	characteristic
799	#388	C₂²×C₆₇	1	1	yes	characteristic
800	#388	C₂²×C₆₇	1	1	yes	characteristic
801	#388	C₂²×C₆₇	1	1	yes	characteristic
802	#388	C₂²×C₆₇	1	1	yes	characteristic
803	#388	C₂²×C₆₇	1	1	yes	characteristic
804	#388	C₂²×C₆₇	1	1	yes	characteristic
805	#388	C₂²×C₆₇	1	1	yes	characteristic
806	#388	C₂²×C₆₇	1	1	yes	characteristic
807	#388	C₂²×C₆₇	1	1	yes	characteristic
808	#388	C₂²×C₆₇	1	1	yes	characteristic
809	#388	C₂²×C₆₇	1	1	yes	characteristic
810	#388	C₂²×C₆₇	1	1	yes	characteristic
811	#388	C₂²×C₆₇	1	1	yes	characteristic
812	#388	C₂²×C₆₇	1	1	yes	characteristic
813	#388	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	#388	C₂²×C₆₇	1	1	yes	characteristic
821	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
822	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
823	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
824	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
825	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
826	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
827	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
828	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
829	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
830	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
831	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
832	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
833	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
834	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
835	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
836	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
837	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
838	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
839	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
840	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
841	#385	C₂²×C₆₇	1	1	yes	characteristic
842	#385	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	#383	C₂²×C₆₇	1	1	yes	characteristic, complemented
854	#383	C₂²×C₆₇	1	1	yes	characteristic, complemented
855	#383	C₂²×C₆₇	1	1	yes	characteristic, complemented
856	#382	C₂²×C₆₇	1	1	yes	characteristic, complemented
857	#381	C₂²×C₆₇	1	1	yes	characteristic
858	#381	C₂²×C₆₇	1	1	yes	characteristic
859	#381	C₂²×C₆₇	1	1	yes	characteristic
860	#381	C₂²×C₆₇	1	1	yes	characteristic
861	#380	C₂²×C₆₇	1	1	yes	characteristic
862	#380	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	#379	C₂²×C₆₇	1	1	yes	characteristic
868	#379	C₂²×C₆₇	1	1	yes	characteristic
869	#379	C₂²×C₆₇	1	1	yes	characteristic
870	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
871	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
872	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
873	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
874	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
875	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
876	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
877	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
878	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
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	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
886	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
887	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
888	#376	C₂²×C₆₇	1	1	yes	characteristic, complemented
889	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
890	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
891	C₂⁵	C₂³×C₆₇	1	1	yes	characteristic
892	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
893	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
894	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
895	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
896	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
897	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
898	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
899	C₂³×C₄	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	#126	—	2	4	no	—
903	#126	—	4	2	no	—
904	C₂²⋊Q₈	—	2	4	no	—
905	C₂²⋊Q₈	—	2	4	no	—
906	C₂²⋊Q₈	—	2	4	no	—
907	C₄×Q₈	—	4	2	no	—
908	C₄×Q₈	—	4	2	no	—
909	#117	—	2	4	no	—
910	#117	—	4	2	no	—
911	C₂×C₄⋊C₄	—	2	4	no	—
912	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
949	C₂×C₂²⋊C₄	—	2	4	no	—
950	C₂×C₂²⋊C₄	—	2	4	no	—
951	C₂×C₂²⋊C₄	—	4	2	no	—
952	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
955	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
969	C₂×C₂²⋊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×C₄²	—	4	2	no	—
987	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
988	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
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	#95	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	C₂⁴	—	2	2	no	—
1062	C₂⁴	—	2	2	no	—
1063	C₂⁴	—	2	2	no	—
1064	C₂⁴	—	2	2	no	—
1065	C₂⁴	—	4	1	no	—
1066	C₂⁴	—	4	1	no	—
1067	C₂⁴	—	4	1	no	—
1068	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1069	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1070	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1071	C₂×Q₈	—	2	2	no	—
1072	C₂×Q₈	—	2	2	no	—
1073	C₂×Q₈	—	2	2	no	—
1074	C₂×Q₈	—	4	1	no	—
1075	C₂×Q₈	—	4	1	no	—
1076	C₂×Q₈	—	4	1	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	2	2	no	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	2	2	no	—
1082	C₂²×C₄	—	2	2	no	—
1083	C₂²×C₄	—	2	2	no	—
1084	C₂²×C₄	—	2	2	no	—
1085	C₂²×C₄	—	2	2	no	—
1086	C₂²×C₄	—	2	2	no	—
1087	C₂²×C₄	—	2	2	no	—
1088	C₂²×C₄	—	2	2	no	—
1089	C₂²×C₄	—	2	2	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	4	1	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	#41×C₆₇	1	4	yes	—
1101	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1106	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	—	2	2	no	—
1131	C₄⋊C₄	—	2	2	no	—
1132	C₄⋊C₄	—	2	2	no	—
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	2	2	no	—
1136	C₄⋊C₄	—	2	2	no	—
1137	C₄⋊C₄	—	2	2	no	—
1138	C₄⋊C₄	—	2	2	no	—
1139	C₄⋊C₄	—	2	2	no	—
1140	C₄⋊C₄	—	2	2	no	—
1141	C₄⋊C₄	—	2	2	no	—
1142	C₄⋊C₄	—	2	2	no	—
1143	C₄⋊C₄	—	2	2	no	—
1144	C₄⋊C₄	—	2	2	no	—
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	2	2	no	—
1147	C₄⋊C₄	—	2	2	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	4	1	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	4	1	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	2	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	2	2	no	—
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	2	2	no	—
1173	C₂²⋊C₄	—	2	2	no	—
1174	C₂²⋊C₄	—	2	2	no	—
1175	C₂²⋊C₄	—	2	2	no	—
1176	C₂²⋊C₄	—	2	2	no	—
1177	C₂²⋊C₄	—	2	2	no	—
1178	C₂²⋊C₄	—	2	2	no	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	—	4	1	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	#41×C₆₇	1	4	yes	—
1198	C₂²⋊C₄	#41×C₆₇	1	4	yes	—
1199	C₄²	—	2	2	no	—
1200	C₄²	—	2	2	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	2	2	no	—
1203	C₄²	—	2	2	no	—
1204	C₄²	—	2	2	no	—
1205	C₄²	—	2	2	no	—
1206	C₄²	—	4	1	no	—
1207	C₄²	—	4	1	no	—
1208	C₄²	—	4	1	no	—
1209	C₄²	—	4	1	no	—
1210	C₄²	—	4	1	no	—
1211	C₄²	—	4	1	no	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	4	1	no	—
1214	C₄²	—	4	1	no	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	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	—	4	4	no	—
1235	C₂³	—	4	4	no	—
1236	C₂³	—	4	4	no	—
1237	C₂³	—	4	4	no	—
1238	C₂³	—	8	2	no	—
1239	C₂³	—	8	2	no	—
1240	C₂³	—	8	2	no	—
1241	C₂³	C₂×#41×C₆₇	1	2	yes	—
1242	C₂³	C₂×#41×C₆₇	1	2	yes	—
1243	C₂³	C₂×#41×C₆₇	1	2	yes	—
1244	C₂³	2₋¹⁺⁴×C₆₇	1	2	yes	—
1245	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1246	Q₈	—	4	4	no	—
1247	Q₈	—	4	4	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	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	—	4	4	no	—
1326	C₂×C₄	—	4	4	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	4	4	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	8	2	no	—
1332	C₂×C₄	—	8	2	no	—
1333	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1334	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1335	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1336	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1337	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1338	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1339	C₂×C₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	4	1	no	—
1354	C₂²	—	4	1	no	—
1355	C₂²	—	4	1	no	—
1356	C₂²	—	4	1	no	—
1357	C₂²	—	4	1	no	—
1358	C₂²	—	4	1	no	—
1359	C₂²	—	4	1	no	—
1360	C₂²	—	8	8	no	—
1361	C₂²	#556×C₆₇	1	4	yes	—
1362	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1363	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1364	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1365	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1366	C₂²	C₂×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
1367	C₂²	#585×C₆₇	1	1	yes	characteristic
1368	C₂²	#585×C₆₇	1	1	yes	characteristic
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	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	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	C₄	—	4	1	no	—
1397	C₂	—	2	4	no	—
1398	C₂	—	4	2	no	—
1399	C₂	—	8	1	no	—
1400	C₂	C₂×#556×C₆₇	1	1	yes	characteristic
1401	C₂	C₆₇×#3475	1	1	yes	characteristic
1402	C₂	C₆₇×#3481	1	1	yes	characteristic
1403	C₂	C₆₇×#3495	1	1	yes	characteristic
1404	C₂	C₆₇×#3505	1	1	yes	characteristic
1405	C₂	C₆₇×#3521	1	1	yes	characteristic
1406	C₂	C₆₇×#3535	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₆₇
prime radical	C₂⁵×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×#2788	C₂	semidirect
2. C₆₇×#2783	C₂	semidirect
3. C₆₇×#2759	C₂	semidirect
4. C₆₇×#2689	C₂	semidirect
5. C₆₇×#2604	C₂	semidirect
6. C₆₇×#2599	C₂	semidirect
7. C₆₇×#2596	C₂	semidirect
8. C₆₇×#2594	C₂	semidirect
9. C₆₇×#2583	C₂	semidirect
10. C₆₇×#2577	C₂	semidirect
11. C₆₇×#2573	C₂	semidirect
13. C₆₇×#2525	C₂	semidirect
14. C₆₇×#2525	C₂	semidirect
15. C₆₇×#2494	C₂	semidirect
16. C₆₇×#2493	C₂	semidirect
17. C₆₇×#2493	C₂	semidirect
20. C₆₇×#2469	C₂	semidirect
21. C₆₇×#2438	C₂	semidirect
23. C₆₇×#2373	C₂	semidirect
24. C₆₇×#2362	C₂	semidirect
25. C₆₇×#2345	C₂	semidirect
26. C₆₇×#2343	C₂	semidirect
29. C₄×C₂²⋊Q₈×C₆₇	C₂	semidirect
30. C₄×C₂²⋊Q₈×C₆₇	C₂	semidirect
37. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
38. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
47. #401×C₆₇	C₂²	semidirect
48. #401×C₆₇	C₂²	semidirect
49. #400×C₆₇	C₂²	semidirect
50. #400×C₆₇	C₂²	semidirect
51. #400×C₆₇	C₂²	semidirect
52. #400×C₆₇	C₂²	semidirect
53. #400×C₆₇	C₂²	semidirect
54. #400×C₆₇	C₂²	semidirect
55. #400×C₆₇	C₂²	semidirect
57. #398×C₆₇	C₂²	semidirect
58. #398×C₆₇	C₂²	semidirect
59. #398×C₆₇	C₂²	semidirect
60. #398×C₆₇	C₂²	semidirect
73. #395×C₆₇	C₂²	semidirect
74. #395×C₆₇	C₂²	semidirect
75. #395×C₆₇	C₂²	semidirect
79. #391×C₆₇	C₂²	semidirect
80. #391×C₆₇	C₂²	semidirect
81. #391×C₆₇	C₂²	semidirect
82. #389×C₆₇	C₂²	semidirect
83. #389×C₆₇	C₂²	semidirect
84. #389×C₆₇	C₂²	semidirect
85. #389×C₆₇	C₂²	semidirect
86. #389×C₆₇	C₂²	semidirect
87. #389×C₆₇	C₂²	semidirect
88. #389×C₆₇	C₂²	semidirect
89. #389×C₆₇	C₂²	semidirect
90. #389×C₆₇	C₂²	semidirect
117. #387×C₆₇	C₂²	semidirect
118. #387×C₆₇	C₂²	semidirect
119. #387×C₆₇	C₂²	semidirect
120. #387×C₆₇	C₂²	semidirect
121. #387×C₆₇	C₂²	semidirect
122. #387×C₆₇	C₂²	semidirect
123. #387×C₆₇	C₂²	semidirect
124. #387×C₆₇	C₂²	semidirect
125. #387×C₆₇	C₂²	semidirect
126. #387×C₆₇	C₂²	semidirect
127. #387×C₆₇	C₂²	semidirect
128. #387×C₆₇	C₂²	semidirect
129. #387×C₆₇	C₂²	semidirect
130. #387×C₆₇	C₂²	semidirect
131. #387×C₆₇	C₂²	semidirect
132. #387×C₆₇	C₂²	semidirect
133. #387×C₆₇	C₂²	semidirect
134. #387×C₆₇	C₂²	semidirect
135. #387×C₆₇	C₂²	semidirect
136. #387×C₆₇	C₂²	semidirect
149. #383×C₆₇	C₂²	semidirect
150. #383×C₆₇	C₂²	semidirect
151. #383×C₆₇	C₂²	semidirect
152. #382×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
170. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
171. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
172. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
173. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
174. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
184. #376×C₆₇	C₂²	semidirect
693. #59422	C₆₇	direct (N × H)
704. #2788	C₂×C₆₇	semidirect
705. #2783	C₂×C₆₇	semidirect
706. #2759	C₂×C₆₇	semidirect
707. #2689	C₂×C₆₇	semidirect
708. #2604	C₂×C₆₇	semidirect
709. #2599	C₂×C₆₇	semidirect
710. #2596	C₂×C₆₇	semidirect
711. #2594	C₂×C₆₇	semidirect
712. #2583	C₂×C₆₇	semidirect
713. #2577	C₂×C₆₇	semidirect
714. #2573	C₂×C₆₇	semidirect
716. #2525	C₂×C₆₇	semidirect
717. #2525	C₂×C₆₇	semidirect
718. #2494	C₂×C₆₇	semidirect
719. #2493	C₂×C₆₇	semidirect
720. #2493	C₂×C₆₇	semidirect
723. #2469	C₂×C₆₇	semidirect
724. #2438	C₂×C₆₇	semidirect
726. #2373	C₂×C₆₇	semidirect
727. #2362	C₂×C₆₇	semidirect
728. #2345	C₂×C₆₇	semidirect
729. #2343	C₂×C₆₇	semidirect
732. C₄×C₂²⋊Q₈	C₂×C₆₇	semidirect
733. C₄×C₂²⋊Q₈	C₂×C₆₇	semidirect
735. C₆₇	#59422	direct (N × H)
741. C₂×C₄×Q₈	C₂²×C₆₇	semidirect
742. C₂×C₄×Q₈	C₂²×C₆₇	semidirect
751. #401	C₂²×C₆₇	semidirect
752. #401	C₂²×C₆₇	semidirect
753. #400	C₂²×C₆₇	semidirect
754. #400	C₂²×C₆₇	semidirect
755. #400	C₂²×C₆₇	semidirect
756. #400	C₂²×C₆₇	semidirect
757. #400	C₂²×C₆₇	semidirect
758. #400	C₂²×C₆₇	semidirect
759. #400	C₂²×C₆₇	semidirect
761. #398	C₂²×C₆₇	semidirect
762. #398	C₂²×C₆₇	semidirect
763. #398	C₂²×C₆₇	semidirect
764. #398	C₂²×C₆₇	semidirect
777. #395	C₂²×C₆₇	semidirect
778. #395	C₂²×C₆₇	semidirect
779. #395	C₂²×C₆₇	semidirect
783. #391	C₂²×C₆₇	semidirect
784. #391	C₂²×C₆₇	semidirect
785. #391	C₂²×C₆₇	semidirect
786. #389	C₂²×C₆₇	semidirect
787. #389	C₂²×C₆₇	semidirect
788. #389	C₂²×C₆₇	semidirect
789. #389	C₂²×C₆₇	semidirect
790. #389	C₂²×C₆₇	semidirect
791. #389	C₂²×C₆₇	semidirect
792. #389	C₂²×C₆₇	semidirect
793. #389	C₂²×C₆₇	semidirect
794. #389	C₂²×C₆₇	semidirect
821. #387	C₂²×C₆₇	semidirect
822. #387	C₂²×C₆₇	semidirect
823. #387	C₂²×C₆₇	semidirect
824. #387	C₂²×C₆₇	semidirect
825. #387	C₂²×C₆₇	semidirect
826. #387	C₂²×C₆₇	semidirect
827. #387	C₂²×C₆₇	semidirect
828. #387	C₂²×C₆₇	semidirect
829. #387	C₂²×C₆₇	semidirect
830. #387	C₂²×C₆₇	semidirect
831. #387	C₂²×C₆₇	semidirect
832. #387	C₂²×C₆₇	semidirect
833. #387	C₂²×C₆₇	semidirect
834. #387	C₂²×C₆₇	semidirect
835. #387	C₂²×C₆₇	semidirect
836. #387	C₂²×C₆₇	semidirect
837. #387	C₂²×C₆₇	semidirect
838. #387	C₂²×C₆₇	semidirect
839. #387	C₂²×C₆₇	semidirect
840. #387	C₂²×C₆₇	semidirect
853. #383	C₂²×C₆₇	semidirect
854. #383	C₂²×C₆₇	semidirect
855. #383	C₂²×C₆₇	semidirect
856. #382	C₂²×C₆₇	semidirect
870. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
871. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
872. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
873. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
874. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
875. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
876. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
877. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
878. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
888. #376	C₂²×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₆₇×#2788	2
C₆₇×#2783	2
C₆₇×#2759	2
C₆₇×#2689	2
C₆₇×#2604	2
C₆₇×#2599	2
C₆₇×#2596	2
C₆₇×#2594	2
C₆₇×#2583	2
C₆₇×#2577	2
C₆₇×#2573	2
C₆₇×#2561	2
C₆₇×#2525	2
C₆₇×#2494	2
C₆₇×#2493	2
C₆₇×#2480	2
C₆₇×#2469	2
C₆₇×#2438	2
C₆₇×#2437	2
C₆₇×#2373	2
C₆₇×#2362	2
C₆₇×#2345	2
C₆₇×#2343	2
C₆₇×#2342	2
C₄×C₂²⋊Q₈×C₆₇	2
C₂×#388×C₆₇	2
#59422	67

Subgroups — C67×#59422 #30738673

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#59422 #30738673