Subgroups — C₆₇×#59406 #30738657

Order 17152.

2730 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#553×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#546×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#2705	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#2704	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#2701	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#2678	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#2579	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#2560	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#2558	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#2543	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2534	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#2534	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#2521	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#2480	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#2476	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#2464	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#2459	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#2457	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#2430	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#2425	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#2424	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2419	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#2418	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#2410	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#2359	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#2358	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#2339	C₂	1	1	yes	maximal, characteristic, complemented
28	D₄×C₂²⋊C₄×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#121×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#121×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#388×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
33	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic
34	#553×C₆₇	—	2	8	no	—
35	#546×C₆₇	—	2	8	no	—
36	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic, complemented
37	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic, complemented
39	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
40	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
41	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
42	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
43	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
44	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
45	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
47	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
48	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
49	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
50	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
51	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
52	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
53	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
54	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
55	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
56	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
57	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
58	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
61	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
69	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
70	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
71	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
72	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
73	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
74	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
75	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
76	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
77	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
78	#399×C₆₇	C₂²	1	1	yes	characteristic, complemented
79	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
80	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
81	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
82	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
83	#397×C₆₇	C₂²	1	1	yes	characteristic
84	#397×C₆₇	C₂²	1	1	yes	characteristic, complemented
85	#397×C₆₇	C₂²	1	1	yes	characteristic, complemented
86	#397×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#396×C₆₇	C₂²	1	1	yes	characteristic
88	#396×C₆₇	C₂²	1	1	yes	characteristic
89	#396×C₆₇	C₂²	1	1	yes	characteristic, complemented
90	#396×C₆₇	C₂²	1	1	yes	characteristic, complemented
91	#396×C₆₇	C₂²	1	1	yes	characteristic, complemented
92	#396×C₆₇	C₂²	1	1	yes	characteristic, complemented
93	#395×C₆₇	C₂²	1	1	yes	characteristic, complemented
94	#394×C₆₇	C₂²	1	1	yes	characteristic
95	#394×C₆₇	C₂²	1	1	yes	characteristic
96	#394×C₆₇	C₂²	1	1	yes	characteristic
97	#394×C₆₇	C₂²	1	1	yes	characteristic
98	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
99	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
100	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
101	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
102	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
103	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
104	#393×C₆₇	C₂²	1	1	yes	characteristic, complemented
105	#392×C₆₇	C₂²	1	1	yes	characteristic
106	#392×C₆₇	C₂²	1	1	yes	characteristic
107	#392×C₆₇	C₂²	1	1	yes	characteristic
108	#392×C₆₇	C₂²	1	1	yes	characteristic, complemented
109	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#390×C₆₇	C₂²	1	1	yes	characteristic
112	#390×C₆₇	C₂²	1	1	yes	characteristic
113	#390×C₆₇	C₂²	1	1	yes	characteristic
114	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
115	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
116	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
117	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
118	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
119	#388×C₆₇	C₂²	1	1	yes	characteristic
120	#388×C₆₇	C₂²	1	1	yes	characteristic
121	#388×C₆₇	C₂²	1	1	yes	characteristic
122	#388×C₆₇	C₂²	1	1	yes	characteristic
123	#388×C₆₇	C₂²	1	1	yes	characteristic
124	#388×C₆₇	C₂²	1	1	yes	characteristic
125	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
126	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
128	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
129	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
130	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
131	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
132	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
138	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
140	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
141	#386×C₆₇	C₂²	1	1	yes	characteristic
142	#386×C₆₇	C₂²	1	1	yes	characteristic
143	#386×C₆₇	C₂²	1	1	yes	characteristic
144	#386×C₆₇	C₂²	1	1	yes	characteristic
145	#386×C₆₇	C₂²	1	1	yes	characteristic
146	#386×C₆₇	C₂²	1	1	yes	characteristic
147	#386×C₆₇	C₂²	1	1	yes	characteristic
148	#386×C₆₇	C₂²	1	1	yes	characteristic
149	#386×C₆₇	C₂²	1	1	yes	characteristic
150	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
152	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
153	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
154	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
155	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
156	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
157	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
158	#386×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	#385×C₆₇	C₂²	1	1	yes	characteristic
160	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
161	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
162	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
163	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
164	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
165	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
166	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
168	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
170	#380×C₆₇	C₂²	1	1	yes	characteristic
171	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
173	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
174	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
175	#379×C₆₇	C₂²	1	1	yes	characteristic
176	#379×C₆₇	C₂²	1	1	yes	characteristic
177	#379×C₆₇	C₂²	1	1	yes	characteristic
178	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
186	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic, complemented
187	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic, complemented
188	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
190	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
191	C₂×#41×C₆₇	—	2	4	no	—
192	C₂×#41×C₆₇	—	2	4	no	—
193	C₂×#41×C₆₇	—	4	2	no	—
194	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₆₇	—	2	4	no	—
196	C₂²×D₄×C₆₇	—	2	4	no	—
197	C₂²×D₄×C₆₇	—	4	2	no	—
198	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
228	#126×C₆₇	—	2	4	no	—
229	#126×C₆₇	—	2	4	no	—
230	#125×C₆₇	—	2	4	no	—
231	#124×C₆₇	—	2	4	no	—
232	#123×C₆₇	—	2	4	no	—
233	#123×C₆₇	—	2	4	no	—
234	#123×C₆₇	—	2	4	no	—
235	#123×C₆₇	—	2	4	no	—
236	#123×C₆₇	—	2	4	no	—
237	#123×C₆₇	—	4	2	no	—
238	C₂²⋊Q₈×C₆₇	—	2	4	no	—
239	#121×C₆₇	—	2	4	no	—
240	#121×C₆₇	—	2	4	no	—
241	#121×C₆₇	—	2	4	no	—
242	#121×C₆₇	—	2	4	no	—
243	#121×C₆₇	—	2	4	no	—
244	#121×C₆₇	—	2	4	no	—
245	#121×C₆₇	—	4	2	no	—
246	#121×C₆₇	D₄	1	8	yes	complemented
247	#120×C₆₇	—	2	4	no	—
248	#120×C₆₇	—	2	4	no	—
249	#120×C₆₇	—	2	4	no	—
250	#120×C₆₇	—	4	2	no	—
251	C₄×D₄×C₆₇	—	2	4	no	—
252	C₄×D₄×C₆₇	—	2	4	no	—
253	C₄×D₄×C₆₇	—	2	4	no	—
254	C₄×D₄×C₆₇	—	2	4	no	—
255	C₄×D₄×C₆₇	—	2	4	no	—
256	C₄×D₄×C₆₇	—	2	4	no	—
257	C₄×D₄×C₆₇	—	4	2	no	—
258	C₄×D₄×C₆₇	—	4	2	no	—
259	C₄×D₄×C₆₇	—	4	2	no	—
260	C₄×D₄×C₆₇	—	4	2	no	—
261	#117×C₆₇	—	2	4	no	—
262	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
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×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
290	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
291	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
292	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
293	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
294	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₆₇	—	4	2	no	—
349	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
359	#95×C₆₇	C₂³	1	1	yes	characteristic
360	#95×C₆₇	C₂³	1	1	yes	characteristic
361	#95×C₆₇	C₂³	1	1	yes	characteristic
362	#95×C₆₇	C₂³	1	1	yes	characteristic
363	#95×C₆₇	C₂³	1	1	yes	characteristic
364	#95×C₆₇	C₂³	1	1	yes	characteristic
365	#95×C₆₇	C₂³	1	1	yes	characteristic
366	#95×C₆₇	C₂³	1	1	yes	characteristic
367	#95×C₆₇	C₂³	1	1	yes	characteristic
368	#95×C₆₇	C₂³	1	1	yes	characteristic
369	#95×C₆₇	C₂³	1	1	yes	characteristic
370	#95×C₆₇	C₂³	1	1	yes	characteristic
371	#95×C₆₇	C₂³	1	1	yes	characteristic
372	#95×C₆₇	C₂³	1	1	yes	characteristic
373	#95×C₆₇	C₂³	1	1	yes	characteristic
374	#95×C₆₇	C₂³	1	1	yes	characteristic
375	#95×C₆₇	C₂³	1	1	yes	characteristic
376	#95×C₆₇	C₂³	1	1	yes	characteristic
377	#95×C₆₇	C₂³	1	1	yes	characteristic
378	#95×C₆₇	C₂³	1	1	yes	characteristic
379	#95×C₆₇	C₂³	1	1	yes	characteristic
380	#95×C₆₇	C₂³	1	1	yes	characteristic
381	#95×C₆₇	C₂³	1	1	yes	characteristic
382	#95×C₆₇	C₂³	1	1	yes	characteristic
383	#95×C₆₇	C₂³	1	1	yes	characteristic
384	#95×C₆₇	C₂³	1	1	yes	characteristic
385	#95×C₆₇	C₂³	1	1	yes	characteristic
386	#95×C₆₇	C₂³	1	1	yes	characteristic
387	#95×C₆₇	C₂³	1	1	yes	characteristic
388	#95×C₆₇	C₂³	1	1	yes	characteristic
389	#95×C₆₇	C₂³	1	1	yes	characteristic
390	#95×C₆₇	C₂³	1	1	yes	characteristic
391	C₂⁴×C₆₇	—	2	2	no	—
392	C₂⁴×C₆₇	—	2	2	no	—
393	C₂⁴×C₆₇	—	2	2	no	—
394	C₂⁴×C₆₇	—	2	2	no	—
395	C₂⁴×C₆₇	—	2	2	no	—
396	C₂⁴×C₆₇	—	2	2	no	—
397	C₂⁴×C₆₇	—	2	2	no	—
398	C₂⁴×C₆₇	—	4	1	no	—
399	C₂⁴×C₆₇	—	4	1	no	—
400	C₂⁴×C₆₇	—	4	1	no	—
401	C₂⁴×C₆₇	—	4	1	no	—
402	C₂⁴×C₆₇	—	4	1	no	—
403	C₂⁴×C₆₇	—	4	1	no	—
404	C₂⁴×C₆₇	—	4	1	no	—
405	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
407	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
408	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
409	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
410	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
411	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
412	#41×C₆₇	—	4	16	no	—
413	C₂×Q₈×C₆₇	—	2	2	no	—
414	C₂×Q₈×C₆₇	—	2	2	no	—
415	C₂×Q₈×C₆₇	—	4	1	no	—
416	C₂×D₄×C₆₇	—	2	2	no	—
417	C₂×D₄×C₆₇	—	2	2	no	—
418	C₂×D₄×C₆₇	—	2	2	no	—
419	C₂×D₄×C₆₇	—	2	2	no	—
420	C₂×D₄×C₆₇	—	2	2	no	—
421	C₂×D₄×C₆₇	—	2	2	no	—
422	C₂×D₄×C₆₇	—	2	2	no	—
423	C₂×D₄×C₆₇	—	2	2	no	—
424	C₂×D₄×C₆₇	—	2	2	no	—
425	C₂×D₄×C₆₇	—	2	2	no	—
426	C₂×D₄×C₆₇	—	2	2	no	—
427	C₂×D₄×C₆₇	—	2	2	no	—
428	C₂×D₄×C₆₇	—	2	2	no	—
429	C₂×D₄×C₆₇	—	2	2	no	—
430	C₂×D₄×C₆₇	—	2	2	no	—
431	C₂×D₄×C₆₇	—	2	2	no	—
432	C₂×D₄×C₆₇	—	2	2	no	—
433	C₂×D₄×C₆₇	—	2	2	no	—
434	C₂×D₄×C₆₇	—	2	2	no	—
435	C₂×D₄×C₆₇	—	2	2	no	—
436	C₂×D₄×C₆₇	—	2	2	no	—
437	C₂×D₄×C₆₇	—	2	2	no	—
438	C₂×D₄×C₆₇	—	2	2	no	—
439	C₂×D₄×C₆₇	—	2	2	no	—
440	C₂×D₄×C₆₇	—	4	1	no	—
441	C₂×D₄×C₆₇	—	4	1	no	—
442	C₂×D₄×C₆₇	—	4	1	no	—
443	C₂×D₄×C₆₇	—	4	1	no	—
444	C₂×D₄×C₆₇	—	4	1	no	—
445	C₂×D₄×C₆₇	—	4	1	no	—
446	C₂×D₄×C₆₇	—	4	1	no	—
447	C₂×D₄×C₆₇	—	4	1	no	—
448	C₂×D₄×C₆₇	—	4	1	no	—
449	C₂×D₄×C₆₇	—	4	1	no	—
450	C₂×D₄×C₆₇	—	4	1	no	—
451	C₂×D₄×C₆₇	—	4	1	no	—
452	C₂×D₄×C₆₇	—	4	1	no	—
453	C₂×D₄×C₆₇	—	4	1	no	—
454	C₂×D₄×C₆₇	—	4	1	no	—
455	C₂×D₄×C₆₇	—	4	1	no	—
456	C₂×D₄×C₆₇	—	4	1	no	—
457	C₂×D₄×C₆₇	—	4	16	no	—
458	C₂×D₄×C₆₇	C₂×D₄	1	4	yes	—
459	C₂×D₄×C₆₇	C₂×D₄	1	4	yes	—
460	C₂×D₄×C₆₇	C₂×D₄	1	4	yes	—
461	C₂×D₄×C₆₇	#41	1	4	yes	—
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	—	2	2	no	—
483	C₂²×C₄×C₆₇	—	2	2	no	—
484	C₂²×C₄×C₆₇	—	2	2	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	—	4	1	no	—
494	C₂²×C₄×C₆₇	—	4	1	no	—
495	C₂²×C₄×C₆₇	—	4	1	no	—
496	C₂²×C₄×C₆₇	—	4	1	no	—
497	C₂²×C₄×C₆₇	—	4	1	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	—	4	1	no	—
504	C₂²×C₄×C₆₇	—	4	1	no	—
505	C₂²×C₄×C₆₇	—	4	1	no	—
506	C₂²×C₄×C₆₇	C₂×D₄	1	4	yes	—
507	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
531	C₄⋊C₄×C₆₇	—	2	2	no	—
532	C₄⋊C₄×C₆₇	—	2	2	no	—
533	C₄⋊C₄×C₆₇	—	2	2	no	—
534	C₄⋊C₄×C₆₇	—	2	2	no	—
535	C₄⋊C₄×C₆₇	—	2	2	no	—
536	C₄⋊C₄×C₆₇	—	2	2	no	—
537	C₄⋊C₄×C₆₇	—	2	2	no	—
538	C₄⋊C₄×C₆₇	—	2	2	no	—
539	C₄⋊C₄×C₆₇	—	2	2	no	—
540	C₄⋊C₄×C₆₇	—	2	2	no	—
541	C₄⋊C₄×C₆₇	—	2	2	no	—
542	C₄⋊C₄×C₆₇	—	2	2	no	—
543	C₄⋊C₄×C₆₇	—	2	2	no	—
544	C₄⋊C₄×C₆₇	—	2	2	no	—
545	C₄⋊C₄×C₆₇	—	2	2	no	—
546	C₄⋊C₄×C₆₇	—	4	1	no	—
547	C₄⋊C₄×C₆₇	—	4	1	no	—
548	C₄⋊C₄×C₆₇	—	4	1	no	—
549	C₄⋊C₄×C₆₇	—	4	1	no	—
550	C₄⋊C₄×C₆₇	—	4	1	no	—
551	C₄⋊C₄×C₆₇	—	4	1	no	—
552	C₄⋊C₄×C₆₇	—	4	1	no	—
553	C₄⋊C₄×C₆₇	—	4	1	no	—
554	C₄⋊C₄×C₆₇	—	4	1	no	—
555	C₄⋊C₄×C₆₇	—	4	1	no	—
556	C₄⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
557	C₂²⋊C₄×C₆₇	—	2	2	no	—
558	C₂²⋊C₄×C₆₇	—	2	2	no	—
559	C₂²⋊C₄×C₆₇	—	2	2	no	—
560	C₂²⋊C₄×C₆₇	—	2	2	no	—
561	C₂²⋊C₄×C₆₇	—	2	2	no	—
562	C₂²⋊C₄×C₆₇	—	2	2	no	—
563	C₂²⋊C₄×C₆₇	—	2	2	no	—
564	C₂²⋊C₄×C₆₇	—	2	2	no	—
565	C₂²⋊C₄×C₆₇	—	2	2	no	—
566	C₂²⋊C₄×C₆₇	—	2	2	no	—
567	C₂²⋊C₄×C₆₇	—	2	2	no	—
568	C₂²⋊C₄×C₆₇	—	2	2	no	—
569	C₂²⋊C₄×C₆₇	—	2	2	no	—
570	C₂²⋊C₄×C₆₇	—	2	2	no	—
571	C₂²⋊C₄×C₆₇	—	2	2	no	—
572	C₂²⋊C₄×C₆₇	—	2	2	no	—
573	C₂²⋊C₄×C₆₇	—	2	2	no	—
574	C₂²⋊C₄×C₆₇	—	2	2	no	—
575	C₂²⋊C₄×C₆₇	—	2	2	no	—
576	C₂²⋊C₄×C₆₇	—	2	2	no	—
577	C₂²⋊C₄×C₆₇	—	2	2	no	—
578	C₂²⋊C₄×C₆₇	—	2	2	no	—
579	C₂²⋊C₄×C₆₇	—	2	2	no	—
580	C₂²⋊C₄×C₆₇	—	2	2	no	—
581	C₂²⋊C₄×C₆₇	—	2	2	no	—
582	C₂²⋊C₄×C₆₇	—	2	2	no	—
583	C₂²⋊C₄×C₆₇	—	2	2	no	—
584	C₂²⋊C₄×C₆₇	—	2	2	no	—
585	C₂²⋊C₄×C₆₇	—	2	2	no	—
586	C₂²⋊C₄×C₆₇	—	2	2	no	—
587	C₂²⋊C₄×C₆₇	—	2	2	no	—
588	C₂²⋊C₄×C₆₇	—	2	2	no	—
589	C₂²⋊C₄×C₆₇	—	2	2	no	—
590	C₂²⋊C₄×C₆₇	—	4	1	no	—
591	C₂²⋊C₄×C₆₇	—	4	1	no	—
592	C₂²⋊C₄×C₆₇	—	4	1	no	—
593	C₂²⋊C₄×C₆₇	—	4	1	no	—
594	C₂²⋊C₄×C₆₇	—	4	1	no	—
595	C₂²⋊C₄×C₆₇	—	4	1	no	—
596	C₂²⋊C₄×C₆₇	—	4	1	no	—
597	C₂²⋊C₄×C₆₇	—	4	1	no	—
598	C₂²⋊C₄×C₆₇	—	4	1	no	—
599	C₂²⋊C₄×C₆₇	—	4	1	no	—
600	C₂²⋊C₄×C₆₇	—	4	1	no	—
601	C₂²⋊C₄×C₆₇	—	4	1	no	—
602	C₂²⋊C₄×C₆₇	—	4	1	no	—
603	C₂²⋊C₄×C₆₇	—	4	1	no	—
604	C₂²⋊C₄×C₆₇	—	4	1	no	—
605	C₂²⋊C₄×C₆₇	—	4	1	no	—
606	C₂²⋊C₄×C₆₇	—	4	1	no	—
607	C₂²⋊C₄×C₆₇	—	4	1	no	—
608	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
609	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
610	C₂²⋊C₄×C₆₇	#41	1	4	yes	complemented
611	C₄²×C₆₇	—	2	2	no	—
612	C₄²×C₆₇	—	2	2	no	—
613	C₄²×C₆₇	—	2	2	no	—
614	C₄²×C₆₇	—	2	2	no	—
615	C₄²×C₆₇	—	2	2	no	—
616	C₄²×C₆₇	—	2	2	no	—
617	C₄²×C₆₇	—	4	1	no	—
618	C₄²×C₆₇	—	4	1	no	—
619	C₄²×C₆₇	—	4	1	no	—
620	C₄²×C₆₇	—	4	1	no	—
621	C₂³×C₆₇	—	2	1	no	—
622	C₂³×C₆₇	—	2	1	no	—
623	C₂³×C₆₇	—	2	1	no	—
624	C₂³×C₆₇	—	2	1	no	—
625	C₂³×C₆₇	—	2	1	no	—
626	C₂³×C₆₇	—	2	1	no	—
627	C₂³×C₆₇	—	2	1	no	—
628	C₂³×C₆₇	—	2	1	no	—
629	C₂³×C₆₇	—	2	1	no	—
630	C₂³×C₆₇	—	2	1	no	—
631	C₂³×C₆₇	—	2	1	no	—
632	C₂³×C₆₇	—	2	1	no	—
633	C₂³×C₆₇	—	2	1	no	—
634	C₂³×C₆₇	—	2	1	no	—
635	C₂³×C₆₇	—	2	1	no	—
636	C₂³×C₆₇	—	2	1	no	—
637	C₂³×C₆₇	—	2	1	no	—
638	C₂³×C₆₇	—	2	1	no	—
639	C₂³×C₆₇	—	2	1	no	—
640	C₂³×C₆₇	—	2	1	no	—
641	C₂³×C₆₇	—	2	1	no	—
642	C₂³×C₆₇	—	2	1	no	—
643	C₂³×C₆₇	—	2	1	no	—
644	C₂³×C₆₇	—	2	1	no	—
645	C₂³×C₆₇	—	2	1	no	—
646	C₂³×C₆₇	—	2	1	no	—
647	C₂³×C₆₇	—	2	1	no	—
648	C₂³×C₆₇	—	2	1	no	—
649	C₂³×C₆₇	—	2	1	no	—
650	C₂³×C₆₇	—	2	1	no	—
651	C₂³×C₆₇	—	2	1	no	—
652	C₂³×C₆₇	—	2	1	no	—
653	C₂³×C₆₇	—	2	1	no	—
654	C₂³×C₆₇	—	2	1	no	—
655	C₂³×C₆₇	—	2	1	no	—
656	C₂³×C₆₇	—	2	1	no	—
657	C₂³×C₆₇	—	2	1	no	—
658	C₂³×C₆₇	—	2	1	no	—
659	C₂³×C₆₇	—	2	1	no	—
660	C₂³×C₆₇	—	2	1	no	—
661	C₂³×C₆₇	—	2	1	no	—
662	C₂³×C₆₇	—	2	1	no	—
663	C₂³×C₆₇	—	4	4	no	—
664	C₂³×C₆₇	—	4	4	no	—
665	C₂³×C₆₇	—	4	4	no	—
666	C₂³×C₆₇	—	4	4	no	—
667	C₂³×C₆₇	—	4	4	no	—
668	C₂³×C₆₇	—	4	4	no	—
669	C₂³×C₆₇	—	4	4	no	—
670	C₂³×C₆₇	—	8	2	no	—
671	C₂³×C₆₇	—	8	2	no	—
672	C₂³×C₆₇	—	8	2	no	—
673	C₂³×C₆₇	—	8	2	no	—
674	C₂³×C₆₇	—	8	2	no	—
675	C₂³×C₆₇	—	8	2	no	—
676	C₂³×C₆₇	—	8	2	no	—
677	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
678	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
679	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
680	C₂³×C₆₇	C₂×#41	1	2	yes	—
681	C₂³×C₆₇	C₂×#41	1	2	yes	—
682	C₂³×C₆₇	C₂×#41	1	2	yes	—
683	C₂³×C₆₇	H(5,𝔽₂)	1	2	yes	—
684	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
685	Q₈×C₆₇	—	4	4	no	—
686	D₄×C₆₇	—	2	8	no	—
687	D₄×C₆₇	—	2	8	no	—
688	D₄×C₆₇	—	2	8	no	—
689	D₄×C₆₇	—	4	4	no	—
690	D₄×C₆₇	—	4	4	no	—
691	D₄×C₆₇	—	4	4	no	—
692	D₄×C₆₇	—	4	4	no	—
693	D₄×C₆₇	—	4	4	no	—
694	D₄×C₆₇	—	4	4	no	—
695	D₄×C₆₇	—	4	4	no	—
696	D₄×C₆₇	—	4	4	no	—
697	D₄×C₆₇	—	8	2	no	—
698	D₄×C₆₇	—	8	2	no	—
699	D₄×C₆₇	—	8	2	no	—
700	D₄×C₆₇	—	8	2	no	—
701	C₂×C₄×C₆₇	—	2	1	no	—
702	C₂×C₄×C₆₇	—	2	1	no	—
703	C₂×C₄×C₆₇	—	2	1	no	—
704	C₂×C₄×C₆₇	—	2	1	no	—
705	C₂×C₄×C₆₇	—	2	1	no	—
706	C₂×C₄×C₆₇	—	2	1	no	—
707	C₂×C₄×C₆₇	—	2	1	no	—
708	C₂×C₄×C₆₇	—	2	1	no	—
709	C₂×C₄×C₆₇	—	2	1	no	—
710	C₂×C₄×C₆₇	—	2	1	no	—
711	C₂×C₄×C₆₇	—	2	1	no	—
712	C₂×C₄×C₆₇	—	2	1	no	—
713	C₂×C₄×C₆₇	—	2	1	no	—
714	C₂×C₄×C₆₇	—	2	1	no	—
715	C₂×C₄×C₆₇	—	2	1	no	—
716	C₂×C₄×C₆₇	—	2	1	no	—
717	C₂×C₄×C₆₇	—	2	1	no	—
718	C₂×C₄×C₆₇	—	2	1	no	—
719	C₂×C₄×C₆₇	—	2	1	no	—
720	C₂×C₄×C₆₇	—	2	1	no	—
721	C₂×C₄×C₆₇	—	2	1	no	—
722	C₂×C₄×C₆₇	—	2	1	no	—
723	C₂×C₄×C₆₇	—	2	1	no	—
724	C₂×C₄×C₆₇	—	2	1	no	—
725	C₂×C₄×C₆₇	—	2	1	no	—
726	C₂×C₄×C₆₇	—	2	1	no	—
727	C₂×C₄×C₆₇	—	2	1	no	—
728	C₂×C₄×C₆₇	—	2	1	no	—
729	C₂×C₄×C₆₇	—	2	1	no	—
730	C₂×C₄×C₆₇	—	2	1	no	—
731	C₂×C₄×C₆₇	—	2	1	no	—
732	C₂×C₄×C₆₇	—	2	1	no	—
733	C₂×C₄×C₆₇	—	2	1	no	—
734	C₂×C₄×C₆₇	—	2	1	no	—
735	C₂×C₄×C₆₇	—	2	1	no	—
736	C₂×C₄×C₆₇	—	2	1	no	—
737	C₂×C₄×C₆₇	—	2	1	no	—
738	C₂×C₄×C₆₇	—	2	1	no	—
739	C₂×C₄×C₆₇	—	2	1	no	—
740	C₂×C₄×C₆₇	—	2	1	no	—
741	C₂×C₄×C₆₇	—	2	1	no	—
742	C₂×C₄×C₆₇	—	2	1	no	—
743	C₂×C₄×C₆₇	—	2	1	no	—
744	C₂×C₄×C₆₇	—	2	1	no	—
745	C₂×C₄×C₆₇	—	2	1	no	—
746	C₂×C₄×C₆₇	—	2	1	no	—
747	C₂×C₄×C₆₇	—	2	1	no	—
748	C₂×C₄×C₆₇	—	2	1	no	—
749	C₂×C₄×C₆₇	—	2	1	no	—
750	C₂×C₄×C₆₇	—	2	1	no	—
751	C₂×C₄×C₆₇	—	2	1	no	—
752	C₂×C₄×C₆₇	—	2	1	no	—
753	C₂×C₄×C₆₇	—	2	1	no	—
754	C₂×C₄×C₆₇	—	2	1	no	—
755	C₂×C₄×C₆₇	—	2	1	no	—
756	C₂×C₄×C₆₇	—	2	1	no	—
757	C₂×C₄×C₆₇	—	2	1	no	—
758	C₂×C₄×C₆₇	—	2	1	no	—
759	C₂×C₄×C₆₇	—	2	1	no	—
760	C₂×C₄×C₆₇	—	2	1	no	—
761	C₂×C₄×C₆₇	—	2	1	no	—
762	C₂×C₄×C₆₇	—	2	1	no	—
763	C₂×C₄×C₆₇	—	2	1	no	—
764	C₂×C₄×C₆₇	—	2	1	no	—
765	C₂×C₄×C₆₇	—	4	4	no	—
766	C₂×C₄×C₆₇	—	4	4	no	—
767	C₂×C₄×C₆₇	—	4	4	no	—
768	C₂×C₄×C₆₇	—	4	4	no	—
769	C₂×C₄×C₆₇	—	4	4	no	—
770	C₂×C₄×C₆₇	—	4	4	no	—
771	C₂×C₄×C₆₇	—	4	4	no	—
772	C₂×C₄×C₆₇	—	4	4	no	—
773	C₂×C₄×C₆₇	—	4	4	no	—
774	C₂×C₄×C₆₇	—	8	2	no	—
775	C₂×C₄×C₆₇	—	8	2	no	—
776	C₂×C₄×C₆₇	—	8	2	no	—
777	C₂×C₄×C₆₇	—	8	2	no	—
778	C₂×C₄×C₆₇	—	8	2	no	—
779	C₂×C₄×C₆₇	—	8	2	no	—
780	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
781	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
782	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
783	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
784	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
785	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
786	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
787	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
788	C₂²×C₆₇	—	2	2	no	—
789	C₂²×C₆₇	—	2	2	no	—
790	C₂²×C₆₇	—	2	2	no	—
791	C₂²×C₆₇	—	2	2	no	—
792	C₂²×C₆₇	—	2	2	no	—
793	C₂²×C₆₇	—	2	2	no	—
794	C₂²×C₆₇	—	2	2	no	—
795	C₂²×C₆₇	—	2	2	no	—
796	C₂²×C₆₇	—	2	2	no	—
797	C₂²×C₆₇	—	2	2	no	—
798	C₂²×C₆₇	—	2	2	no	—
799	C₂²×C₆₇	—	2	2	no	—
800	C₂²×C₆₇	—	2	2	no	—
801	C₂²×C₆₇	—	2	2	no	—
802	C₂²×C₆₇	—	2	2	no	—
803	C₂²×C₆₇	—	2	2	no	—
804	C₂²×C₆₇	—	2	2	no	—
805	C₂²×C₆₇	—	2	2	no	—
806	C₂²×C₆₇	—	4	1	no	—
807	C₂²×C₆₇	—	4	1	no	—
808	C₂²×C₆₇	—	4	1	no	—
809	C₂²×C₆₇	—	4	1	no	—
810	C₂²×C₆₇	—	4	1	no	—
811	C₂²×C₆₇	—	4	1	no	—
812	C₂²×C₆₇	—	4	1	no	—
813	C₂²×C₆₇	—	4	1	no	—
814	C₂²×C₆₇	—	4	1	no	—
815	C₂²×C₆₇	—	4	1	no	—
816	C₂²×C₆₇	—	4	1	no	—
817	C₂²×C₆₇	—	4	1	no	—
818	C₂²×C₆₇	—	4	1	no	—
819	C₂²×C₆₇	—	4	1	no	—
820	C₂²×C₆₇	—	4	1	no	—
821	C₂²×C₆₇	—	4	1	no	—
822	C₂²×C₆₇	—	4	1	no	—
823	C₂²×C₆₇	—	4	1	no	—
824	C₂²×C₆₇	—	4	1	no	—
825	C₂²×C₆₇	—	4	1	no	—
826	C₂²×C₆₇	—	4	1	no	—
827	C₂²×C₆₇	—	4	1	no	—
828	C₂²×C₆₇	—	4	1	no	—
829	C₂²×C₆₇	—	4	1	no	—
830	C₂²×C₆₇	—	4	1	no	—
831	C₂²×C₆₇	—	4	1	no	—
832	C₂²×C₆₇	—	4	1	no	—
833	C₂²×C₆₇	—	4	1	no	—
834	C₂²×C₆₇	—	4	1	no	—
835	C₂²×C₆₇	—	4	1	no	—
836	C₂²×C₆₇	—	8	8	no	—
837	C₂²×C₆₇	—	8	8	no	—
838	C₂²×C₆₇	#546	1	4	yes	—
839	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
840	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
841	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
842	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
843	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
844	C₂²×C₆₇	#585	1	1	yes	characteristic
845	C₂²×C₆₇	#585	1	1	yes	characteristic
846	C₄×C₆₇	—	2	2	no	—
847	C₄×C₆₇	—	2	2	no	—
848	C₄×C₆₇	—	2	2	no	—
849	C₄×C₆₇	—	2	2	no	—
850	C₄×C₆₇	—	2	2	no	—
851	C₄×C₆₇	—	2	2	no	—
852	C₄×C₆₇	—	2	2	no	—
853	C₄×C₆₇	—	2	2	no	—
854	C₄×C₆₇	—	4	1	no	—
855	C₄×C₆₇	—	4	1	no	—
856	C₄×C₆₇	—	4	1	no	—
857	C₄×C₆₇	—	4	1	no	—
858	C₄×C₆₇	—	4	1	no	—
859	C₄×C₆₇	—	4	1	no	—
860	C₄×C₆₇	—	4	1	no	—
861	C₄×C₆₇	—	4	1	no	—
862	C₄×C₆₇	—	4	1	no	—
863	C₄×C₆₇	—	4	1	no	—
864	C₄×C₆₇	—	4	1	no	—
865	C₄×C₆₇	—	4	1	no	—
866	C₄×C₆₇	—	4	1	no	—
867	C₄×C₆₇	—	4	1	no	—
868	C₄×C₆₇	—	4	1	no	—
869	C₄×C₆₇	—	4	1	no	—
870	#59406	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
871	C₂×C₆₇	—	2	4	no	—
872	C₂×C₆₇	—	4	2	no	—
873	C₂×C₆₇	—	4	2	no	—
874	C₂×C₆₇	—	4	2	no	—
875	C₂×C₆₇	—	4	2	no	—
876	C₂×C₆₇	—	8	1	no	—
877	C₂×C₆₇	—	8	1	no	—
878	C₂×C₆₇	C₂×#546	1	1	yes	characteristic
879	C₂×C₆₇	D₄×#41	1	1	yes	characteristic
880	C₂×C₆₇	#3481	1	1	yes	characteristic
881	C₂×C₆₇	#3494	1	1	yes	characteristic
882	C₂×C₆₇	#3496	1	1	yes	characteristic
883	C₂×C₆₇	#3521	1	1	yes	characteristic
884	C₂×C₆₇	#3534	1	1	yes	characteristic
885	C₂×#553	C₂×C₆₇	1	1	yes	characteristic, complemented
886	C₂×#546	C₂×C₆₇	1	1	yes	characteristic, complemented
887	#2705	C₂×C₆₇	1	1	yes	characteristic, complemented
888	#2704	C₂×C₆₇	1	1	yes	characteristic, complemented
889	#2701	C₂×C₆₇	1	1	yes	characteristic, complemented
890	#2678	C₂×C₆₇	1	1	yes	characteristic, complemented
891	#2579	C₂×C₆₇	1	1	yes	characteristic, complemented
892	#2560	C₂×C₆₇	1	1	yes	characteristic, complemented
893	#2558	C₂×C₆₇	1	1	yes	characteristic, complemented
894	#2543	C₂×C₆₇	1	1	yes	characteristic, complemented
895	#2534	C₂×C₆₇	1	1	yes	characteristic, complemented
896	#2534	C₂×C₆₇	1	1	yes	characteristic, complemented
897	#2521	C₂×C₆₇	1	1	yes	characteristic, complemented
898	#2480	C₂×C₆₇	1	1	yes	characteristic, complemented
899	#2476	C₂×C₆₇	1	1	yes	characteristic, complemented
900	#2464	C₂×C₆₇	1	1	yes	characteristic, complemented
901	#2459	C₂×C₆₇	1	1	yes	characteristic, complemented
902	#2457	C₂×C₆₇	1	1	yes	characteristic, complemented
903	#2430	C₂×C₆₇	1	1	yes	characteristic, complemented
904	#2425	C₂×C₆₇	1	1	yes	characteristic, complemented
905	#2424	C₂×C₆₇	1	1	yes	characteristic, complemented
906	#2419	C₂×C₆₇	1	1	yes	characteristic, complemented
907	#2418	C₂×C₆₇	1	1	yes	characteristic, complemented
908	#2410	C₂×C₆₇	1	1	yes	characteristic, complemented
909	#2359	C₂×C₆₇	1	1	yes	characteristic, complemented
910	#2358	C₂×C₆₇	1	1	yes	characteristic, complemented
911	#2339	C₂×C₆₇	1	1	yes	characteristic, complemented
912	D₄×C₂²⋊C₄	C₂×C₆₇	1	1	yes	characteristic, complemented
913	C₄×#121	C₂×C₆₇	1	1	yes	characteristic, complemented
914	C₄×#121	C₂×C₆₇	1	1	yes	characteristic, complemented
915	C₂×#388	C₂×C₆₇	1	1	yes	characteristic, complemented
916	C₆₇	#59406	1	1	yes	characteristic, direct product factor, Sylow
917	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
918	C₂³×D₄	C₂²×C₆₇	1	1	yes	characteristic
919	#553	—	2	8	no	—
920	#546	—	2	8	no	—
921	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic, complemented
922	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic, complemented
923	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic, complemented
924	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic
925	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
926	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
927	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
928	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic, complemented
929	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic, complemented
930	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic, complemented
931	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
932	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
933	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
934	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
935	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
936	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
937	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
938	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
939	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
940	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
941	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
942	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
943	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
944	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
945	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
946	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
947	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
948	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
949	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
950	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
951	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
952	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
953	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
954	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic, complemented
955	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
956	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
957	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
958	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
959	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
960	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
961	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
962	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
963	#399	C₂²×C₆₇	1	1	yes	characteristic, complemented
964	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
965	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
966	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
967	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
968	#397	C₂²×C₆₇	1	1	yes	characteristic
969	#397	C₂²×C₆₇	1	1	yes	characteristic, complemented
970	#397	C₂²×C₆₇	1	1	yes	characteristic, complemented
971	#397	C₂²×C₆₇	1	1	yes	characteristic, complemented
972	#396	C₂²×C₆₇	1	1	yes	characteristic
973	#396	C₂²×C₆₇	1	1	yes	characteristic
974	#396	C₂²×C₆₇	1	1	yes	characteristic, complemented
975	#396	C₂²×C₆₇	1	1	yes	characteristic, complemented
976	#396	C₂²×C₆₇	1	1	yes	characteristic, complemented
977	#396	C₂²×C₆₇	1	1	yes	characteristic, complemented
978	#395	C₂²×C₆₇	1	1	yes	characteristic, complemented
979	#394	C₂²×C₆₇	1	1	yes	characteristic
980	#394	C₂²×C₆₇	1	1	yes	characteristic
981	#394	C₂²×C₆₇	1	1	yes	characteristic
982	#394	C₂²×C₆₇	1	1	yes	characteristic
983	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
984	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
985	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
986	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
987	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
988	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
989	#393	C₂²×C₆₇	1	1	yes	characteristic, complemented
990	#392	C₂²×C₆₇	1	1	yes	characteristic
991	#392	C₂²×C₆₇	1	1	yes	characteristic
992	#392	C₂²×C₆₇	1	1	yes	characteristic
993	#392	C₂²×C₆₇	1	1	yes	characteristic, complemented
994	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
995	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
996	#390	C₂²×C₆₇	1	1	yes	characteristic
997	#390	C₂²×C₆₇	1	1	yes	characteristic
998	#390	C₂²×C₆₇	1	1	yes	characteristic
999	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
1000	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
1001	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
1002	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
1003	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
1004	#388	C₂²×C₆₇	1	1	yes	characteristic
1005	#388	C₂²×C₆₇	1	1	yes	characteristic
1006	#388	C₂²×C₆₇	1	1	yes	characteristic
1007	#388	C₂²×C₆₇	1	1	yes	characteristic
1008	#388	C₂²×C₆₇	1	1	yes	characteristic
1009	#388	C₂²×C₆₇	1	1	yes	characteristic
1010	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1011	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1012	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1013	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1014	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1015	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1016	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1017	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1018	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1019	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1020	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1021	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
1022	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
1023	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
1024	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
1025	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
1026	#386	C₂²×C₆₇	1	1	yes	characteristic
1027	#386	C₂²×C₆₇	1	1	yes	characteristic
1028	#386	C₂²×C₆₇	1	1	yes	characteristic
1029	#386	C₂²×C₆₇	1	1	yes	characteristic
1030	#386	C₂²×C₆₇	1	1	yes	characteristic
1031	#386	C₂²×C₆₇	1	1	yes	characteristic
1032	#386	C₂²×C₆₇	1	1	yes	characteristic
1033	#386	C₂²×C₆₇	1	1	yes	characteristic
1034	#386	C₂²×C₆₇	1	1	yes	characteristic
1035	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1036	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1037	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1038	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1039	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1040	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1041	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1042	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1043	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
1044	#385	C₂²×C₆₇	1	1	yes	characteristic
1045	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1046	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1047	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1048	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1049	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1050	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1051	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1052	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
1053	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
1054	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
1055	#380	C₂²×C₆₇	1	1	yes	characteristic
1056	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
1057	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
1058	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
1059	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
1060	#379	C₂²×C₆₇	1	1	yes	characteristic
1061	#379	C₂²×C₆₇	1	1	yes	characteristic
1062	#379	C₂²×C₆₇	1	1	yes	characteristic
1063	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1064	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1065	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
1066	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1067	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1068	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1069	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1070	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1071	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1072	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1073	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1074	C₂⁵	C₂³×C₆₇	1	1	yes	characteristic
1075	C₂⁵	C₂³×C₆₇	1	1	yes	characteristic
1076	C₂×#41	—	2	4	no	—
1077	C₂×#41	—	2	4	no	—
1078	C₂×#41	—	4	2	no	—
1079	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1080	C₂²×D₄	—	2	4	no	—
1081	C₂²×D₄	—	2	4	no	—
1082	C₂²×D₄	—	4	2	no	—
1083	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1084	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1085	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1086	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1087	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1088	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1089	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1090	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1091	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1092	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1093	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1094	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1095	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1096	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1097	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1098	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1099	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1100	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1101	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1102	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1103	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1104	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1105	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1106	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1107	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1108	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1109	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1110	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1111	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1112	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1113	#126	—	2	4	no	—
1114	#126	—	2	4	no	—
1115	#125	—	2	4	no	—
1116	#124	—	2	4	no	—
1117	#123	—	2	4	no	—
1118	#123	—	2	4	no	—
1119	#123	—	2	4	no	—
1120	#123	—	2	4	no	—
1121	#123	—	2	4	no	—
1122	#123	—	4	2	no	—
1123	C₂²⋊Q₈	—	2	4	no	—
1124	#121	—	2	4	no	—
1125	#121	—	2	4	no	—
1126	#121	—	2	4	no	—
1127	#121	—	2	4	no	—
1128	#121	—	2	4	no	—
1129	#121	—	2	4	no	—
1130	#121	—	4	2	no	—
1131	#121	D₄×C₆₇	1	8	yes	complemented
1132	#120	—	2	4	no	—
1133	#120	—	2	4	no	—
1134	#120	—	2	4	no	—
1135	#120	—	4	2	no	—
1136	C₄×D₄	—	2	4	no	—
1137	C₄×D₄	—	2	4	no	—
1138	C₄×D₄	—	2	4	no	—
1139	C₄×D₄	—	2	4	no	—
1140	C₄×D₄	—	2	4	no	—
1141	C₄×D₄	—	2	4	no	—
1142	C₄×D₄	—	4	2	no	—
1143	C₄×D₄	—	4	2	no	—
1144	C₄×D₄	—	4	2	no	—
1145	C₄×D₄	—	4	2	no	—
1146	#117	—	2	4	no	—
1147	C₂×C₄⋊C₄	—	2	4	no	—
1148	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1149	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1151	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1152	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1153	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1154	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1156	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1157	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1158	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1159	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1162	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1163	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1164	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1165	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1166	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1167	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1168	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1169	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1170	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1171	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1172	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1173	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	—	2	4	no	—
1175	C₂×C₂²⋊C₄	—	2	4	no	—
1176	C₂×C₂²⋊C₄	—	2	4	no	—
1177	C₂×C₂²⋊C₄	—	4	2	no	—
1178	C₂×C₂²⋊C₄	—	4	2	no	—
1179	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1183	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1185	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1189	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1190	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1196	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1197	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1199	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1201	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1202	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1203	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1204	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1205	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1206	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1207	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1208	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1209	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1210	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1211	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1212	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1213	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1214	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1215	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1216	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1217	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1218	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1219	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1221	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1222	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1223	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1224	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1225	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1226	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1227	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1228	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1229	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1230	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1231	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1232	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1233	C₂×C₄²	—	4	2	no	—
1234	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1235	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1236	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1237	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1238	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1239	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1240	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1241	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1242	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1243	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1244	#95	C₂³×C₆₇	1	1	yes	characteristic
1245	#95	C₂³×C₆₇	1	1	yes	characteristic
1246	#95	C₂³×C₆₇	1	1	yes	characteristic
1247	#95	C₂³×C₆₇	1	1	yes	characteristic
1248	#95	C₂³×C₆₇	1	1	yes	characteristic
1249	#95	C₂³×C₆₇	1	1	yes	characteristic
1250	#95	C₂³×C₆₇	1	1	yes	characteristic
1251	#95	C₂³×C₆₇	1	1	yes	characteristic
1252	#95	C₂³×C₆₇	1	1	yes	characteristic
1253	#95	C₂³×C₆₇	1	1	yes	characteristic
1254	#95	C₂³×C₆₇	1	1	yes	characteristic
1255	#95	C₂³×C₆₇	1	1	yes	characteristic
1256	#95	C₂³×C₆₇	1	1	yes	characteristic
1257	#95	C₂³×C₆₇	1	1	yes	characteristic
1258	#95	C₂³×C₆₇	1	1	yes	characteristic
1259	#95	C₂³×C₆₇	1	1	yes	characteristic
1260	#95	C₂³×C₆₇	1	1	yes	characteristic
1261	#95	C₂³×C₆₇	1	1	yes	characteristic
1262	#95	C₂³×C₆₇	1	1	yes	characteristic
1263	#95	C₂³×C₆₇	1	1	yes	characteristic
1264	#95	C₂³×C₆₇	1	1	yes	characteristic
1265	#95	C₂³×C₆₇	1	1	yes	characteristic
1266	#95	C₂³×C₆₇	1	1	yes	characteristic
1267	#95	C₂³×C₆₇	1	1	yes	characteristic
1268	#95	C₂³×C₆₇	1	1	yes	characteristic
1269	#95	C₂³×C₆₇	1	1	yes	characteristic
1270	#95	C₂³×C₆₇	1	1	yes	characteristic
1271	#95	C₂³×C₆₇	1	1	yes	characteristic
1272	#95	C₂³×C₆₇	1	1	yes	characteristic
1273	#95	C₂³×C₆₇	1	1	yes	characteristic
1274	#95	C₂³×C₆₇	1	1	yes	characteristic
1275	#95	C₂³×C₆₇	1	1	yes	characteristic
1276	C₂⁴	—	2	2	no	—
1277	C₂⁴	—	2	2	no	—
1278	C₂⁴	—	2	2	no	—
1279	C₂⁴	—	2	2	no	—
1280	C₂⁴	—	2	2	no	—
1281	C₂⁴	—	2	2	no	—
1282	C₂⁴	—	2	2	no	—
1283	C₂⁴	—	4	1	no	—
1284	C₂⁴	—	4	1	no	—
1285	C₂⁴	—	4	1	no	—
1286	C₂⁴	—	4	1	no	—
1287	C₂⁴	—	4	1	no	—
1288	C₂⁴	—	4	1	no	—
1289	C₂⁴	—	4	1	no	—
1290	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1291	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1292	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1293	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1294	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1295	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1296	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1297	#41	—	4	16	no	—
1298	C₂×Q₈	—	2	2	no	—
1299	C₂×Q₈	—	2	2	no	—
1300	C₂×Q₈	—	4	1	no	—
1301	C₂×D₄	—	2	2	no	—
1302	C₂×D₄	—	2	2	no	—
1303	C₂×D₄	—	2	2	no	—
1304	C₂×D₄	—	2	2	no	—
1305	C₂×D₄	—	2	2	no	—
1306	C₂×D₄	—	2	2	no	—
1307	C₂×D₄	—	2	2	no	—
1308	C₂×D₄	—	2	2	no	—
1309	C₂×D₄	—	2	2	no	—
1310	C₂×D₄	—	2	2	no	—
1311	C₂×D₄	—	2	2	no	—
1312	C₂×D₄	—	2	2	no	—
1313	C₂×D₄	—	2	2	no	—
1314	C₂×D₄	—	2	2	no	—
1315	C₂×D₄	—	2	2	no	—
1316	C₂×D₄	—	2	2	no	—
1317	C₂×D₄	—	2	2	no	—
1318	C₂×D₄	—	2	2	no	—
1319	C₂×D₄	—	2	2	no	—
1320	C₂×D₄	—	2	2	no	—
1321	C₂×D₄	—	2	2	no	—
1322	C₂×D₄	—	2	2	no	—
1323	C₂×D₄	—	2	2	no	—
1324	C₂×D₄	—	2	2	no	—
1325	C₂×D₄	—	4	1	no	—
1326	C₂×D₄	—	4	1	no	—
1327	C₂×D₄	—	4	1	no	—
1328	C₂×D₄	—	4	1	no	—
1329	C₂×D₄	—	4	1	no	—
1330	C₂×D₄	—	4	1	no	—
1331	C₂×D₄	—	4	1	no	—
1332	C₂×D₄	—	4	1	no	—
1333	C₂×D₄	—	4	1	no	—
1334	C₂×D₄	—	4	1	no	—
1335	C₂×D₄	—	4	1	no	—
1336	C₂×D₄	—	4	1	no	—
1337	C₂×D₄	—	4	1	no	—
1338	C₂×D₄	—	4	1	no	—
1339	C₂×D₄	—	4	1	no	—
1340	C₂×D₄	—	4	1	no	—
1341	C₂×D₄	—	4	1	no	—
1342	C₂×D₄	—	4	16	no	—
1343	C₂×D₄	C₂×D₄×C₆₇	1	4	yes	—
1344	C₂×D₄	C₂×D₄×C₆₇	1	4	yes	—
1345	C₂×D₄	C₂×D₄×C₆₇	1	4	yes	—
1346	C₂×D₄	#41×C₆₇	1	4	yes	—
1347	C₂²×C₄	—	2	2	no	—
1348	C₂²×C₄	—	2	2	no	—
1349	C₂²×C₄	—	2	2	no	—
1350	C₂²×C₄	—	2	2	no	—
1351	C₂²×C₄	—	2	2	no	—
1352	C₂²×C₄	—	2	2	no	—
1353	C₂²×C₄	—	2	2	no	—
1354	C₂²×C₄	—	2	2	no	—
1355	C₂²×C₄	—	2	2	no	—
1356	C₂²×C₄	—	2	2	no	—
1357	C₂²×C₄	—	2	2	no	—
1358	C₂²×C₄	—	2	2	no	—
1359	C₂²×C₄	—	2	2	no	—
1360	C₂²×C₄	—	2	2	no	—
1361	C₂²×C₄	—	2	2	no	—
1362	C₂²×C₄	—	2	2	no	—
1363	C₂²×C₄	—	2	2	no	—
1364	C₂²×C₄	—	2	2	no	—
1365	C₂²×C₄	—	2	2	no	—
1366	C₂²×C₄	—	2	2	no	—
1367	C₂²×C₄	—	2	2	no	—
1368	C₂²×C₄	—	2	2	no	—
1369	C₂²×C₄	—	2	2	no	—
1370	C₂²×C₄	—	4	1	no	—
1371	C₂²×C₄	—	4	1	no	—
1372	C₂²×C₄	—	4	1	no	—
1373	C₂²×C₄	—	4	1	no	—
1374	C₂²×C₄	—	4	1	no	—
1375	C₂²×C₄	—	4	1	no	—
1376	C₂²×C₄	—	4	1	no	—
1377	C₂²×C₄	—	4	1	no	—
1378	C₂²×C₄	—	4	1	no	—
1379	C₂²×C₄	—	4	1	no	—
1380	C₂²×C₄	—	4	1	no	—
1381	C₂²×C₄	—	4	1	no	—
1382	C₂²×C₄	—	4	1	no	—
1383	C₂²×C₄	—	4	1	no	—
1384	C₂²×C₄	—	4	1	no	—
1385	C₂²×C₄	—	4	1	no	—
1386	C₂²×C₄	—	4	1	no	—
1387	C₂²×C₄	—	4	1	no	—
1388	C₂²×C₄	—	4	1	no	—
1389	C₂²×C₄	—	4	1	no	—
1390	C₂²×C₄	—	4	1	no	—
1391	C₂²×C₄	C₂×D₄×C₆₇	1	4	yes	—
1392	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1393	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1394	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1395	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1396	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1397	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1398	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1399	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1400	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1401	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1402	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1403	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1407	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1408	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1410	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1411	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1413	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1414	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1415	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1416	C₄⋊C₄	—	2	2	no	—
1417	C₄⋊C₄	—	2	2	no	—
1418	C₄⋊C₄	—	2	2	no	—
1419	C₄⋊C₄	—	2	2	no	—
1420	C₄⋊C₄	—	2	2	no	—
1421	C₄⋊C₄	—	2	2	no	—
1422	C₄⋊C₄	—	2	2	no	—
1423	C₄⋊C₄	—	2	2	no	—
1424	C₄⋊C₄	—	2	2	no	—
1425	C₄⋊C₄	—	2	2	no	—
1426	C₄⋊C₄	—	2	2	no	—
1427	C₄⋊C₄	—	2	2	no	—
1428	C₄⋊C₄	—	2	2	no	—
1429	C₄⋊C₄	—	2	2	no	—
1430	C₄⋊C₄	—	2	2	no	—
1431	C₄⋊C₄	—	4	1	no	—
1432	C₄⋊C₄	—	4	1	no	—
1433	C₄⋊C₄	—	4	1	no	—
1434	C₄⋊C₄	—	4	1	no	—
1435	C₄⋊C₄	—	4	1	no	—
1436	C₄⋊C₄	—	4	1	no	—
1437	C₄⋊C₄	—	4	1	no	—
1438	C₄⋊C₄	—	4	1	no	—
1439	C₄⋊C₄	—	4	1	no	—
1440	C₄⋊C₄	—	4	1	no	—
1441	C₄⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1442	C₂²⋊C₄	—	2	2	no	—
1443	C₂²⋊C₄	—	2	2	no	—
1444	C₂²⋊C₄	—	2	2	no	—
1445	C₂²⋊C₄	—	2	2	no	—
1446	C₂²⋊C₄	—	2	2	no	—
1447	C₂²⋊C₄	—	2	2	no	—
1448	C₂²⋊C₄	—	2	2	no	—
1449	C₂²⋊C₄	—	2	2	no	—
1450	C₂²⋊C₄	—	2	2	no	—
1451	C₂²⋊C₄	—	2	2	no	—
1452	C₂²⋊C₄	—	2	2	no	—
1453	C₂²⋊C₄	—	2	2	no	—
1454	C₂²⋊C₄	—	2	2	no	—
1455	C₂²⋊C₄	—	2	2	no	—
1456	C₂²⋊C₄	—	2	2	no	—
1457	C₂²⋊C₄	—	2	2	no	—
1458	C₂²⋊C₄	—	2	2	no	—
1459	C₂²⋊C₄	—	2	2	no	—
1460	C₂²⋊C₄	—	2	2	no	—
1461	C₂²⋊C₄	—	2	2	no	—
1462	C₂²⋊C₄	—	2	2	no	—
1463	C₂²⋊C₄	—	2	2	no	—
1464	C₂²⋊C₄	—	2	2	no	—
1465	C₂²⋊C₄	—	2	2	no	—
1466	C₂²⋊C₄	—	2	2	no	—
1467	C₂²⋊C₄	—	2	2	no	—
1468	C₂²⋊C₄	—	2	2	no	—
1469	C₂²⋊C₄	—	2	2	no	—
1470	C₂²⋊C₄	—	2	2	no	—
1471	C₂²⋊C₄	—	2	2	no	—
1472	C₂²⋊C₄	—	2	2	no	—
1473	C₂²⋊C₄	—	2	2	no	—
1474	C₂²⋊C₄	—	2	2	no	—
1475	C₂²⋊C₄	—	4	1	no	—
1476	C₂²⋊C₄	—	4	1	no	—
1477	C₂²⋊C₄	—	4	1	no	—
1478	C₂²⋊C₄	—	4	1	no	—
1479	C₂²⋊C₄	—	4	1	no	—
1480	C₂²⋊C₄	—	4	1	no	—
1481	C₂²⋊C₄	—	4	1	no	—
1482	C₂²⋊C₄	—	4	1	no	—
1483	C₂²⋊C₄	—	4	1	no	—
1484	C₂²⋊C₄	—	4	1	no	—
1485	C₂²⋊C₄	—	4	1	no	—
1486	C₂²⋊C₄	—	4	1	no	—
1487	C₂²⋊C₄	—	4	1	no	—
1488	C₂²⋊C₄	—	4	1	no	—
1489	C₂²⋊C₄	—	4	1	no	—
1490	C₂²⋊C₄	—	4	1	no	—
1491	C₂²⋊C₄	—	4	1	no	—
1492	C₂²⋊C₄	—	4	1	no	—
1493	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1494	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1495	C₂²⋊C₄	#41×C₆₇	1	4	yes	complemented
1496	C₄²	—	2	2	no	—
1497	C₄²	—	2	2	no	—
1498	C₄²	—	2	2	no	—
1499	C₄²	—	2	2	no	—
1500	C₄²	—	2	2	no	—
1501	C₄²	—	2	2	no	—
1502	C₄²	—	4	1	no	—
1503	C₄²	—	4	1	no	—
1504	C₄²	—	4	1	no	—
1505	C₄²	—	4	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	2	1	no	—
1508	C₂³	—	2	1	no	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	2	1	no	—
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	2	1	no	—
1521	C₂³	—	2	1	no	—
1522	C₂³	—	2	1	no	—
1523	C₂³	—	2	1	no	—
1524	C₂³	—	2	1	no	—
1525	C₂³	—	2	1	no	—
1526	C₂³	—	2	1	no	—
1527	C₂³	—	2	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	2	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	2	1	no	—
1536	C₂³	—	2	1	no	—
1537	C₂³	—	2	1	no	—
1538	C₂³	—	2	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	4	4	no	—
1549	C₂³	—	4	4	no	—
1550	C₂³	—	4	4	no	—
1551	C₂³	—	4	4	no	—
1552	C₂³	—	4	4	no	—
1553	C₂³	—	4	4	no	—
1554	C₂³	—	4	4	no	—
1555	C₂³	—	8	2	no	—
1556	C₂³	—	8	2	no	—
1557	C₂³	—	8	2	no	—
1558	C₂³	—	8	2	no	—
1559	C₂³	—	8	2	no	—
1560	C₂³	—	8	2	no	—
1561	C₂³	—	8	2	no	—
1562	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
1563	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
1564	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
1565	C₂³	C₂×#41×C₆₇	1	2	yes	—
1566	C₂³	C₂×#41×C₆₇	1	2	yes	—
1567	C₂³	C₂×#41×C₆₇	1	2	yes	—
1568	C₂³	H(5,𝔽₂)×C₆₇	1	2	yes	—
1569	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1570	Q₈	—	4	4	no	—
1571	D₄	—	2	8	no	—
1572	D₄	—	2	8	no	—
1573	D₄	—	2	8	no	—
1574	D₄	—	4	4	no	—
1575	D₄	—	4	4	no	—
1576	D₄	—	4	4	no	—
1577	D₄	—	4	4	no	—
1578	D₄	—	4	4	no	—
1579	D₄	—	4	4	no	—
1580	D₄	—	4	4	no	—
1581	D₄	—	4	4	no	—
1582	D₄	—	8	2	no	—
1583	D₄	—	8	2	no	—
1584	D₄	—	8	2	no	—
1585	D₄	—	8	2	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	4	4	no	—
1651	C₂×C₄	—	4	4	no	—
1652	C₂×C₄	—	4	4	no	—
1653	C₂×C₄	—	4	4	no	—
1654	C₂×C₄	—	4	4	no	—
1655	C₂×C₄	—	4	4	no	—
1656	C₂×C₄	—	4	4	no	—
1657	C₂×C₄	—	4	4	no	—
1658	C₂×C₄	—	4	4	no	—
1659	C₂×C₄	—	8	2	no	—
1660	C₂×C₄	—	8	2	no	—
1661	C₂×C₄	—	8	2	no	—
1662	C₂×C₄	—	8	2	no	—
1663	C₂×C₄	—	8	2	no	—
1664	C₂×C₄	—	8	2	no	—
1665	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1666	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1667	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1668	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1669	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1670	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1671	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1672	C₂×C₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1673	C₂²	—	2	2	no	—
1674	C₂²	—	2	2	no	—
1675	C₂²	—	2	2	no	—
1676	C₂²	—	2	2	no	—
1677	C₂²	—	2	2	no	—
1678	C₂²	—	2	2	no	—
1679	C₂²	—	2	2	no	—
1680	C₂²	—	2	2	no	—
1681	C₂²	—	2	2	no	—
1682	C₂²	—	2	2	no	—
1683	C₂²	—	2	2	no	—
1684	C₂²	—	2	2	no	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	2	no	—
1687	C₂²	—	2	2	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	2	no	—
1690	C₂²	—	2	2	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	8	8	no	—
1722	C₂²	—	8	8	no	—
1723	C₂²	#546×C₆₇	1	4	yes	—
1724	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1725	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1726	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1727	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1728	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1729	C₂²	#585×C₆₇	1	1	yes	characteristic
1730	C₂²	#585×C₆₇	1	1	yes	characteristic
1731	C₄	—	2	2	no	—
1732	C₄	—	2	2	no	—
1733	C₄	—	2	2	no	—
1734	C₄	—	2	2	no	—
1735	C₄	—	2	2	no	—
1736	C₄	—	2	2	no	—
1737	C₄	—	2	2	no	—
1738	C₄	—	2	2	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	4	1	no	—
1746	C₄	—	4	1	no	—
1747	C₄	—	4	1	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₂	—	2	4	no	—
1756	C₂	—	4	2	no	—
1757	C₂	—	4	2	no	—
1758	C₂	—	4	2	no	—
1759	C₂	—	4	2	no	—
1760	C₂	—	8	1	no	—
1761	C₂	—	8	1	no	—
1762	C₂	C₂×#546×C₆₇	1	1	yes	characteristic
1763	C₂	D₄×#41×C₆₇	1	1	yes	characteristic
1764	C₂	C₆₇×#3481	1	1	yes	characteristic
1765	C₂	C₆₇×#3494	1	1	yes	characteristic
1766	C₂	C₆₇×#3496	1	1	yes	characteristic
1767	C₂	C₆₇×#3521	1	1	yes	characteristic
1768	C₂	C₆₇×#3534	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₆₇
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. C₂×#553×C₆₇	C₂	semidirect
2. C₂×#546×C₆₇	C₂	semidirect
3. C₆₇×#2705	C₂	semidirect
4. C₆₇×#2704	C₂	semidirect
5. C₆₇×#2701	C₂	semidirect
6. C₆₇×#2678	C₂	semidirect
7. C₆₇×#2579	C₂	semidirect
8. C₆₇×#2560	C₂	semidirect
9. C₆₇×#2558	C₂	semidirect
10. C₆₇×#2543	C₂	semidirect
11. C₆₇×#2534	C₂	semidirect
12. C₆₇×#2534	C₂	semidirect
13. C₆₇×#2521	C₂	semidirect
14. C₆₇×#2480	C₂	semidirect
15. C₆₇×#2476	C₂	semidirect
16. C₆₇×#2464	C₂	semidirect
17. C₆₇×#2459	C₂	semidirect
18. C₆₇×#2457	C₂	semidirect
19. C₆₇×#2430	C₂	semidirect
20. C₆₇×#2425	C₂	semidirect
21. C₆₇×#2424	C₂	semidirect
22. C₆₇×#2419	C₂	semidirect
23. C₆₇×#2418	C₂	semidirect
24. C₆₇×#2410	C₂	semidirect
25. C₆₇×#2359	C₂	semidirect
26. C₆₇×#2358	C₂	semidirect
27. C₆₇×#2339	C₂	semidirect
28. D₄×C₂²⋊C₄×C₆₇	C₂	semidirect
29. C₄×#121×C₆₇	C₂	semidirect
30. C₄×#121×C₆₇	C₂	semidirect
31. C₂×#388×C₆₇	C₂	semidirect
36. C₂×#126×C₆₇	C₂²	semidirect
37. C₂×#126×C₆₇	C₂²	semidirect
38. C₂×#125×C₆₇	C₂²	semidirect
43. C₂×#123×C₆₇	C₂²	semidirect
44. C₂×#123×C₆₇	C₂²	semidirect
45. C₂×#123×C₆₇	C₂²	semidirect
52. C₂×#121×C₆₇	C₂²	semidirect
53. C₂×#121×C₆₇	C₂²	semidirect
54. C₂×#121×C₆₇	C₂²	semidirect
63. C₂×C₄×D₄×C₆₇	C₂²	semidirect
64. C₂×C₄×D₄×C₆₇	C₂²	semidirect
65. C₂×C₄×D₄×C₆₇	C₂²	semidirect
66. C₂×C₄×D₄×C₆₇	C₂²	semidirect
67. C₂×C₄×D₄×C₆₇	C₂²	semidirect
68. C₂×C₄×D₄×C₆₇	C₂²	semidirect
69. C₂×#117×C₆₇	C₂²	semidirect
70. C₂²×C₄⋊C₄×C₆₇	C₂²	semidirect
76. C₂²×C₄²×C₆₇	C₂²	semidirect
77. #400×C₆₇	C₂²	semidirect
78. #399×C₆₇	C₂²	semidirect
79. #398×C₆₇	C₂²	semidirect
80. #398×C₆₇	C₂²	semidirect
81. #398×C₆₇	C₂²	semidirect
82. #398×C₆₇	C₂²	semidirect
84. #397×C₆₇	C₂²	semidirect
85. #397×C₆₇	C₂²	semidirect
86. #397×C₆₇	C₂²	semidirect
89. #396×C₆₇	C₂²	semidirect
90. #396×C₆₇	C₂²	semidirect
91. #396×C₆₇	C₂²	semidirect
92. #396×C₆₇	C₂²	semidirect
93. #395×C₆₇	C₂²	semidirect
98. #394×C₆₇	C₂²	semidirect
99. #394×C₆₇	C₂²	semidirect
100. #394×C₆₇	C₂²	semidirect
101. #394×C₆₇	C₂²	semidirect
102. #394×C₆₇	C₂²	semidirect
103. #394×C₆₇	C₂²	semidirect
104. #393×C₆₇	C₂²	semidirect
108. #392×C₆₇	C₂²	semidirect
109. #391×C₆₇	C₂²	semidirect
110. #391×C₆₇	C₂²	semidirect
114. #390×C₆₇	C₂²	semidirect
115. #390×C₆₇	C₂²	semidirect
116. #389×C₆₇	C₂²	semidirect
117. #389×C₆₇	C₂²	semidirect
118. #389×C₆₇	C₂²	semidirect
125. #388×C₆₇	C₂²	semidirect
126. #388×C₆₇	C₂²	semidirect
127. #388×C₆₇	C₂²	semidirect
128. #388×C₆₇	C₂²	semidirect
129. #388×C₆₇	C₂²	semidirect
130. #388×C₆₇	C₂²	semidirect
131. #388×C₆₇	C₂²	semidirect
132. #388×C₆₇	C₂²	semidirect
133. #388×C₆₇	C₂²	semidirect
134. #388×C₆₇	C₂²	semidirect
135. #388×C₆₇	C₂²	semidirect
136. #388×C₆₇	C₂²	semidirect
137. #387×C₆₇	C₂²	semidirect
138. #387×C₆₇	C₂²	semidirect
139. #387×C₆₇	C₂²	semidirect
140. #387×C₆₇	C₂²	semidirect
150. #386×C₆₇	C₂²	semidirect
151. #386×C₆₇	C₂²	semidirect
152. #386×C₆₇	C₂²	semidirect
153. #386×C₆₇	C₂²	semidirect
154. #386×C₆₇	C₂²	semidirect
155. #386×C₆₇	C₂²	semidirect
156. #386×C₆₇	C₂²	semidirect
157. #386×C₆₇	C₂²	semidirect
158. #386×C₆₇	C₂²	semidirect
160. #385×C₆₇	C₂²	semidirect
161. #385×C₆₇	C₂²	semidirect
162. #385×C₆₇	C₂²	semidirect
163. #385×C₆₇	C₂²	semidirect
164. #385×C₆₇	C₂²	semidirect
165. #385×C₆₇	C₂²	semidirect
166. #385×C₆₇	C₂²	semidirect
167. #381×C₆₇	C₂²	semidirect
168. #381×C₆₇	C₂²	semidirect
169. #381×C₆₇	C₂²	semidirect
171. #380×C₆₇	C₂²	semidirect
172. #380×C₆₇	C₂²	semidirect
173. #380×C₆₇	C₂²	semidirect
174. #380×C₆₇	C₂²	semidirect
178. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
179. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
186. C₂×#95×C₆₇	C₂²	semidirect
187. C₂×#95×C₆₇	C₂²	semidirect
188. C₂×#95×C₆₇	C₂²	semidirect
246. #121×C₆₇	D₄	semidirect
610. C₂²⋊C₄×C₆₇	#41	semidirect
870. #59406	C₆₇	direct (N × H)
885. C₂×#553	C₂×C₆₇	semidirect
886. C₂×#546	C₂×C₆₇	semidirect
887. #2705	C₂×C₆₇	semidirect
888. #2704	C₂×C₆₇	semidirect
889. #2701	C₂×C₆₇	semidirect
890. #2678	C₂×C₆₇	semidirect
891. #2579	C₂×C₆₇	semidirect
892. #2560	C₂×C₆₇	semidirect
893. #2558	C₂×C₆₇	semidirect
894. #2543	C₂×C₆₇	semidirect
895. #2534	C₂×C₆₇	semidirect
896. #2534	C₂×C₆₇	semidirect
897. #2521	C₂×C₆₇	semidirect
898. #2480	C₂×C₆₇	semidirect
899. #2476	C₂×C₆₇	semidirect
900. #2464	C₂×C₆₇	semidirect
901. #2459	C₂×C₆₇	semidirect
902. #2457	C₂×C₆₇	semidirect
903. #2430	C₂×C₆₇	semidirect
904. #2425	C₂×C₆₇	semidirect
905. #2424	C₂×C₆₇	semidirect
906. #2419	C₂×C₆₇	semidirect
907. #2418	C₂×C₆₇	semidirect
908. #2410	C₂×C₆₇	semidirect
909. #2359	C₂×C₆₇	semidirect
910. #2358	C₂×C₆₇	semidirect
911. #2339	C₂×C₆₇	semidirect
912. D₄×C₂²⋊C₄	C₂×C₆₇	semidirect
913. C₄×#121	C₂×C₆₇	semidirect
914. C₄×#121	C₂×C₆₇	semidirect
915. C₂×#388	C₂×C₆₇	semidirect
916. C₆₇	#59406	direct (N × H)
921. C₂×#126	C₂²×C₆₇	semidirect
922. C₂×#126	C₂²×C₆₇	semidirect
923. C₂×#125	C₂²×C₆₇	semidirect
928. C₂×#123	C₂²×C₆₇	semidirect
929. C₂×#123	C₂²×C₆₇	semidirect
930. C₂×#123	C₂²×C₆₇	semidirect
937. C₂×#121	C₂²×C₆₇	semidirect
938. C₂×#121	C₂²×C₆₇	semidirect
939. C₂×#121	C₂²×C₆₇	semidirect
948. C₂×C₄×D₄	C₂²×C₆₇	semidirect
949. C₂×C₄×D₄	C₂²×C₆₇	semidirect
950. C₂×C₄×D₄	C₂²×C₆₇	semidirect
951. C₂×C₄×D₄	C₂²×C₆₇	semidirect
952. C₂×C₄×D₄	C₂²×C₆₇	semidirect
953. C₂×C₄×D₄	C₂²×C₆₇	semidirect
954. C₂×#117	C₂²×C₆₇	semidirect
955. C₂²×C₄⋊C₄	C₂²×C₆₇	semidirect
961. C₂²×C₄²	C₂²×C₆₇	semidirect
962. #400	C₂²×C₆₇	semidirect
963. #399	C₂²×C₆₇	semidirect
964. #398	C₂²×C₆₇	semidirect
965. #398	C₂²×C₆₇	semidirect
966. #398	C₂²×C₆₇	semidirect
967. #398	C₂²×C₆₇	semidirect
969. #397	C₂²×C₆₇	semidirect
970. #397	C₂²×C₆₇	semidirect
971. #397	C₂²×C₆₇	semidirect
974. #396	C₂²×C₆₇	semidirect
975. #396	C₂²×C₆₇	semidirect
976. #396	C₂²×C₆₇	semidirect
977. #396	C₂²×C₆₇	semidirect
978. #395	C₂²×C₆₇	semidirect
983. #394	C₂²×C₆₇	semidirect
984. #394	C₂²×C₆₇	semidirect
985. #394	C₂²×C₆₇	semidirect
986. #394	C₂²×C₆₇	semidirect
987. #394	C₂²×C₆₇	semidirect
988. #394	C₂²×C₆₇	semidirect
989. #393	C₂²×C₆₇	semidirect
993. #392	C₂²×C₆₇	semidirect
994. #391	C₂²×C₆₇	semidirect
995. #391	C₂²×C₆₇	semidirect
999. #390	C₂²×C₆₇	semidirect
1000. #390	C₂²×C₆₇	semidirect
1001. #389	C₂²×C₆₇	semidirect
1002. #389	C₂²×C₆₇	semidirect
1003. #389	C₂²×C₆₇	semidirect
1010. #388	C₂²×C₆₇	semidirect
1011. #388	C₂²×C₆₇	semidirect
1012. #388	C₂²×C₆₇	semidirect
1013. #388	C₂²×C₆₇	semidirect
1014. #388	C₂²×C₆₇	semidirect
1015. #388	C₂²×C₆₇	semidirect
1016. #388	C₂²×C₆₇	semidirect
1017. #388	C₂²×C₆₇	semidirect
1018. #388	C₂²×C₆₇	semidirect
1019. #388	C₂²×C₆₇	semidirect
1020. #388	C₂²×C₆₇	semidirect
1021. #388	C₂²×C₆₇	semidirect
1022. #387	C₂²×C₆₇	semidirect
1023. #387	C₂²×C₆₇	semidirect
1024. #387	C₂²×C₆₇	semidirect
1025. #387	C₂²×C₆₇	semidirect
1035. #386	C₂²×C₆₇	semidirect
1036. #386	C₂²×C₆₇	semidirect
1037. #386	C₂²×C₆₇	semidirect
1038. #386	C₂²×C₆₇	semidirect
1039. #386	C₂²×C₆₇	semidirect
1040. #386	C₂²×C₆₇	semidirect
1041. #386	C₂²×C₆₇	semidirect
1042. #386	C₂²×C₆₇	semidirect
1043. #386	C₂²×C₆₇	semidirect
1045. #385	C₂²×C₆₇	semidirect
1046. #385	C₂²×C₆₇	semidirect
1047. #385	C₂²×C₆₇	semidirect
1048. #385	C₂²×C₆₇	semidirect
1049. #385	C₂²×C₆₇	semidirect
1050. #385	C₂²×C₆₇	semidirect
1051. #385	C₂²×C₆₇	semidirect
1052. #381	C₂²×C₆₇	semidirect
1053. #381	C₂²×C₆₇	semidirect
1054. #381	C₂²×C₆₇	semidirect
1056. #380	C₂²×C₆₇	semidirect
1057. #380	C₂²×C₆₇	semidirect
1058. #380	C₂²×C₆₇	semidirect
1059. #380	C₂²×C₆₇	semidirect
1063. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1064. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1066. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1067. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1068. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1069. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1070. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1071. C₂×#95	C₂²×C₆₇	semidirect
1072. C₂×#95	C₂²×C₆₇	semidirect
1073. C₂×#95	C₂²×C₆₇	semidirect
1131. #121	D₄×C₆₇	semidirect
1495. C₂²⋊C₄	#41×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#553×C₆₇	2
C₂×#546×C₆₇	2
C₆₇×#2705	2
C₆₇×#2704	2
C₆₇×#2701	2
C₆₇×#2678	2
C₆₇×#2579	2
C₆₇×#2560	2
C₆₇×#2558	2
C₆₇×#2543	2
C₆₇×#2534	2
C₆₇×#2521	2
C₆₇×#2480	2
C₆₇×#2476	2
C₆₇×#2464	2
C₆₇×#2459	2
C₆₇×#2457	2
C₆₇×#2430	2
C₆₇×#2425	2
C₆₇×#2424	2
C₆₇×#2419	2
C₆₇×#2418	2
C₆₇×#2410	2
C₆₇×#2359	2
C₆₇×#2358	2
C₆₇×#2339	2
D₄×C₂²⋊C₄×C₆₇	2
C₄×#121×C₆₇	2
C₂×#388×C₆₇	2
#59406	67

Subgroups — C67×#59406 #30738657

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#59406 #30738657