Subgroups — C₆₇×#59801 #30739052

Order 17152.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#552×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#547×C₆₇	C₂	1	1	yes	maximal, characteristic
3	C₆₇×#2713	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#2694	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#2689	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#2681	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#2559	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#2558	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#2556	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#2553	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2550	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#2549	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#2488	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#2484	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#2473	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#2470	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#2466	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#2465	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#2449	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#2443	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#2425	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2413	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#2406	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#2406	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#2360	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#2359	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#2359	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₇×#2339	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#123×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₇×#2297	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#389×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
33	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
34	#552×C₆₇	—	2	8	no	—
35	#547×C₆₇	—	2	8	no	—
36	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
37	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
38	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
39	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic
40	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic
41	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic
42	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
43	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
44	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
45	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
46	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
47	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
48	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
49	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
53	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
54	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
55	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
56	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
57	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×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×#117×C₆₇	C₂²	1	1	yes	characteristic
63	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
64	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
65	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
66	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
67	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
68	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
69	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
70	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic
71	#400×C₆₇	C₂²	1	1	yes	characteristic
72	#400×C₆₇	C₂²	1	1	yes	characteristic
73	#400×C₆₇	C₂²	1	1	yes	characteristic
74	#400×C₆₇	C₂²	1	1	yes	characteristic
75	#399×C₆₇	C₂²	1	1	yes	characteristic
76	#399×C₆₇	C₂²	1	1	yes	characteristic
77	#398×C₆₇	C₂²	1	1	yes	characteristic
78	#398×C₆₇	C₂²	1	1	yes	characteristic
79	#398×C₆₇	C₂²	1	1	yes	characteristic
80	#398×C₆₇	C₂²	1	1	yes	characteristic
81	#398×C₆₇	C₂²	1	1	yes	characteristic
82	#398×C₆₇	C₂²	1	1	yes	characteristic
83	#398×C₆₇	C₂²	1	1	yes	characteristic
84	#397×C₆₇	C₂²	1	1	yes	characteristic
85	#397×C₆₇	C₂²	1	1	yes	characteristic
86	#397×C₆₇	C₂²	1	1	yes	characteristic
87	#396×C₆₇	C₂²	1	1	yes	characteristic
88	#396×C₆₇	C₂²	1	1	yes	characteristic
89	#396×C₆₇	C₂²	1	1	yes	characteristic
90	#396×C₆₇	C₂²	1	1	yes	characteristic
91	#395×C₆₇	C₂²	1	1	yes	characteristic
92	#395×C₆₇	C₂²	1	1	yes	characteristic
93	#395×C₆₇	C₂²	1	1	yes	characteristic
94	#395×C₆₇	C₂²	1	1	yes	characteristic
95	#395×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
99	#394×C₆₇	C₂²	1	1	yes	characteristic
100	#394×C₆₇	C₂²	1	1	yes	characteristic
101	#394×C₆₇	C₂²	1	1	yes	characteristic
102	#393×C₆₇	C₂²	1	1	yes	characteristic
103	#391×C₆₇	C₂²	1	1	yes	characteristic
104	#391×C₆₇	C₂²	1	1	yes	characteristic
105	#391×C₆₇	C₂²	1	1	yes	characteristic
106	#391×C₆₇	C₂²	1	1	yes	characteristic
107	#391×C₆₇	C₂²	1	1	yes	characteristic
108	#390×C₆₇	C₂²	1	1	yes	characteristic
109	#390×C₆₇	C₂²	1	1	yes	characteristic
110	#389×C₆₇	C₂²	1	1	yes	characteristic
111	#389×C₆₇	C₂²	1	1	yes	characteristic
112	#389×C₆₇	C₂²	1	1	yes	characteristic
113	#389×C₆₇	C₂²	1	1	yes	characteristic
114	#389×C₆₇	C₂²	1	1	yes	characteristic
115	#389×C₆₇	C₂²	1	1	yes	characteristic
116	#389×C₆₇	C₂²	1	1	yes	characteristic
117	#389×C₆₇	C₂²	1	1	yes	characteristic
118	#389×C₆₇	C₂²	1	1	yes	characteristic
119	#389×C₆₇	C₂²	1	1	yes	characteristic
120	#389×C₆₇	C₂²	1	1	yes	characteristic
121	#389×C₆₇	C₂²	1	1	yes	characteristic
122	#389×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
126	#388×C₆₇	C₂²	1	1	yes	characteristic
127	#388×C₆₇	C₂²	1	1	yes	characteristic
128	#388×C₆₇	C₂²	1	1	yes	characteristic
129	#388×C₆₇	C₂²	1	1	yes	characteristic
130	#388×C₆₇	C₂²	1	1	yes	characteristic
131	#388×C₆₇	C₂²	1	1	yes	characteristic
132	#388×C₆₇	C₂²	1	1	yes	characteristic
133	#387×C₆₇	C₂²	1	1	yes	characteristic
134	#387×C₆₇	C₂²	1	1	yes	characteristic
135	#387×C₆₇	C₂²	1	1	yes	characteristic
136	#387×C₆₇	C₂²	1	1	yes	characteristic
137	#387×C₆₇	C₂²	1	1	yes	characteristic
138	#387×C₆₇	C₂²	1	1	yes	characteristic
139	#387×C₆₇	C₂²	1	1	yes	characteristic
140	#387×C₆₇	C₂²	1	1	yes	characteristic
141	#387×C₆₇	C₂²	1	1	yes	characteristic
142	#387×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
151	#386×C₆₇	C₂²	1	1	yes	characteristic
152	#386×C₆₇	C₂²	1	1	yes	characteristic
153	#385×C₆₇	C₂²	1	1	yes	characteristic
154	#385×C₆₇	C₂²	1	1	yes	characteristic
155	#385×C₆₇	C₂²	1	1	yes	characteristic
156	#385×C₆₇	C₂²	1	1	yes	characteristic
157	#385×C₆₇	C₂²	1	1	yes	characteristic
158	#385×C₆₇	C₂²	1	1	yes	characteristic
159	#385×C₆₇	C₂²	1	1	yes	characteristic
160	#385×C₆₇	C₂²	1	1	yes	characteristic
161	#385×C₆₇	C₂²	1	1	yes	characteristic
162	#385×C₆₇	C₂²	1	1	yes	characteristic
163	#385×C₆₇	C₂²	1	1	yes	characteristic
164	#385×C₆₇	C₂²	1	1	yes	characteristic
165	#385×C₆₇	C₂²	1	1	yes	characteristic
166	#385×C₆₇	C₂²	1	1	yes	characteristic
167	#382×C₆₇	C₂²	1	1	yes	characteristic
168	#381×C₆₇	C₂²	1	1	yes	characteristic
169	#381×C₆₇	C₂²	1	1	yes	characteristic
170	#381×C₆₇	C₂²	1	1	yes	characteristic
171	#381×C₆₇	C₂²	1	1	yes	characteristic
172	#380×C₆₇	C₂²	1	1	yes	characteristic
173	#380×C₆₇	C₂²	1	1	yes	characteristic
174	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
175	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
176	C₄×C₄⋊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	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
186	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
187	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
188	C₂×#95×C₆₇	C₂²	1	1	yes	characteristic
189	C₂×#41×C₆₇	—	2	4	no	—
190	C₂×#41×C₆₇	—	2	4	no	—
191	C₂×#41×C₆₇	—	2	4	no	—
192	C₂×#41×C₆₇	—	2	4	no	—
193	C₂×#41×C₆₇	—	4	2	no	—
194	C₂×#41×C₆₇	—	4	2	no	—
195	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
196	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
197	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
218	C₄⋊Q₈×C₆₇	—	2	4	no	—
219	#126×C₆₇	—	2	4	no	—
220	#126×C₆₇	—	2	4	no	—
221	#125×C₆₇	—	2	4	no	—
222	#125×C₆₇	—	2	4	no	—
223	#125×C₆₇	—	2	4	no	—
224	#123×C₆₇	—	2	4	no	—
225	#123×C₆₇	—	2	4	no	—
226	#123×C₆₇	—	2	4	no	—
227	#123×C₆₇	—	2	4	no	—
228	#123×C₆₇	—	2	4	no	—
229	#123×C₆₇	—	2	4	no	—
230	#123×C₆₇	—	4	2	no	—
231	#123×C₆₇	D₄	1	8	yes	—
232	C₂²⋊Q₈×C₆₇	—	2	4	no	—
233	C₂²⋊Q₈×C₆₇	—	2	4	no	—
234	C₂²⋊Q₈×C₆₇	—	2	4	no	—
235	C₂²⋊Q₈×C₆₇	—	2	4	no	—
236	C₂²⋊Q₈×C₆₇	—	2	4	no	—
237	#121×C₆₇	—	2	4	no	—
238	#121×C₆₇	—	2	4	no	—
239	C₄×Q₈×C₆₇	—	2	4	no	—
240	C₄×D₄×C₆₇	—	2	4	no	—
241	C₄×D₄×C₆₇	—	2	4	no	—
242	C₄×D₄×C₆₇	—	2	4	no	—
243	C₄×D₄×C₆₇	—	4	2	no	—
244	#117×C₆₇	—	2	4	no	—
245	#117×C₆₇	—	2	4	no	—
246	#117×C₆₇	—	2	4	no	—
247	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
248	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
249	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
250	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
251	C₂×C₄⋊C₄×C₆₇	—	4	2	no	—
252	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
267	C₂×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×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊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×C₄²×C₆₇	—	4	2	no	—
330	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
343	#95×C₆₇	C₂³	1	1	yes	characteristic
344	#95×C₆₇	C₂³	1	1	yes	characteristic
345	#95×C₆₇	C₂³	1	1	yes	characteristic
346	#95×C₆₇	C₂³	1	1	yes	characteristic
347	#95×C₆₇	C₂³	1	1	yes	characteristic
348	#95×C₆₇	C₂³	1	1	yes	characteristic
349	#95×C₆₇	C₂³	1	1	yes	characteristic
350	#95×C₆₇	C₂³	1	1	yes	characteristic
351	#95×C₆₇	C₂³	1	1	yes	characteristic
352	#95×C₆₇	C₂³	1	1	yes	characteristic
353	#95×C₆₇	C₂³	1	1	yes	characteristic
354	#95×C₆₇	C₂³	1	1	yes	characteristic
355	#95×C₆₇	C₂³	1	1	yes	characteristic
356	#95×C₆₇	C₂³	1	1	yes	characteristic
357	#95×C₆₇	C₂³	1	1	yes	characteristic
358	#95×C₆₇	C₂³	1	1	yes	characteristic
359	#95×C₆₇	C₂³	1	1	yes	characteristic
360	#95×C₆₇	C₂³	1	1	yes	characteristic
361	#95×C₆₇	C₂³	1	1	yes	characteristic
362	#95×C₆₇	C₂³	1	1	yes	characteristic
363	#95×C₆₇	C₂³	1	1	yes	characteristic
364	#95×C₆₇	C₂³	1	1	yes	characteristic
365	#95×C₆₇	C₂³	1	1	yes	characteristic
366	#95×C₆₇	C₂³	1	1	yes	characteristic
367	#95×C₆₇	C₂³	1	1	yes	characteristic
368	#95×C₆₇	C₂³	1	1	yes	characteristic
369	#95×C₆₇	C₂³	1	1	yes	characteristic
370	#95×C₆₇	C₂³	1	1	yes	characteristic
371	#95×C₆₇	C₂³	1	1	yes	characteristic
372	#95×C₆₇	C₂³	1	1	yes	characteristic
373	#95×C₆₇	C₂³	1	1	yes	characteristic
374	#95×C₆₇	C₂³	1	1	yes	characteristic
375	#95×C₆₇	C₂³	1	1	yes	characteristic
376	#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	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
389	#41×C₆₇	—	4	16	no	—
390	#41×C₆₇	—	4	16	no	—
391	C₂×Q₈×C₆₇	—	2	2	no	—
392	C₂×Q₈×C₆₇	—	2	2	no	—
393	C₂×Q₈×C₆₇	—	2	2	no	—
394	C₂×Q₈×C₆₇	—	2	2	no	—
395	C₂×Q₈×C₆₇	—	2	2	no	—
396	C₂×Q₈×C₆₇	—	2	2	no	—
397	C₂×Q₈×C₆₇	—	4	1	no	—
398	C₂×Q₈×C₆₇	—	4	1	no	—
399	C₂×Q₈×C₆₇	—	4	1	no	—
400	C₂×D₄×C₆₇	—	2	2	no	—
401	C₂×D₄×C₆₇	—	2	2	no	—
402	C₂×D₄×C₆₇	—	2	2	no	—
403	C₂×D₄×C₆₇	—	2	2	no	—
404	C₂×D₄×C₆₇	—	2	2	no	—
405	C₂×D₄×C₆₇	—	2	2	no	—
406	C₂×D₄×C₆₇	—	2	2	no	—
407	C₂×D₄×C₆₇	—	2	2	no	—
408	C₂×D₄×C₆₇	—	2	2	no	—
409	C₂×D₄×C₆₇	—	2	2	no	—
410	C₂×D₄×C₆₇	—	2	2	no	—
411	C₂×D₄×C₆₇	—	2	2	no	—
412	C₂×D₄×C₆₇	—	2	2	no	—
413	C₂×D₄×C₆₇	—	4	1	no	—
414	C₂×D₄×C₆₇	—	4	1	no	—
415	C₂×D₄×C₆₇	—	4	1	no	—
416	C₂×D₄×C₆₇	C₂×D₄	1	4	yes	—
417	C₂×D₄×C₆₇	#41	1	4	yes	—
418	C₂²×C₄×C₆₇	—	2	2	no	—
419	C₂²×C₄×C₆₇	—	2	2	no	—
420	C₂²×C₄×C₆₇	—	2	2	no	—
421	C₂²×C₄×C₆₇	—	2	2	no	—
422	C₂²×C₄×C₆₇	—	2	2	no	—
423	C₂²×C₄×C₆₇	—	2	2	no	—
424	C₂²×C₄×C₆₇	—	2	2	no	—
425	C₂²×C₄×C₆₇	—	2	2	no	—
426	C₂²×C₄×C₆₇	—	2	2	no	—
427	C₂²×C₄×C₆₇	—	2	2	no	—
428	C₂²×C₄×C₆₇	—	2	2	no	—
429	C₂²×C₄×C₆₇	—	2	2	no	—
430	C₂²×C₄×C₆₇	—	2	2	no	—
431	C₂²×C₄×C₆₇	—	2	2	no	—
432	C₂²×C₄×C₆₇	—	2	2	no	—
433	C₂²×C₄×C₆₇	—	2	2	no	—
434	C₂²×C₄×C₆₇	—	2	2	no	—
435	C₂²×C₄×C₆₇	—	2	2	no	—
436	C₂²×C₄×C₆₇	—	2	2	no	—
437	C₂²×C₄×C₆₇	—	2	2	no	—
438	C₂²×C₄×C₆₇	—	2	2	no	—
439	C₂²×C₄×C₆₇	—	2	2	no	—
440	C₂²×C₄×C₆₇	—	2	2	no	—
441	C₂²×C₄×C₆₇	—	2	2	no	—
442	C₂²×C₄×C₆₇	—	2	2	no	—
443	C₂²×C₄×C₆₇	—	2	2	no	—
444	C₂²×C₄×C₆₇	—	2	2	no	—
445	C₂²×C₄×C₆₇	—	2	2	no	—
446	C₂²×C₄×C₆₇	—	2	2	no	—
447	C₂²×C₄×C₆₇	—	2	2	no	—
448	C₂²×C₄×C₆₇	—	4	1	no	—
449	C₂²×C₄×C₆₇	—	4	1	no	—
450	C₂²×C₄×C₆₇	—	4	1	no	—
451	C₂²×C₄×C₆₇	—	4	1	no	—
452	C₂²×C₄×C₆₇	—	4	1	no	—
453	C₂²×C₄×C₆₇	—	4	1	no	—
454	C₂²×C₄×C₆₇	—	4	1	no	—
455	C₂²×C₄×C₆₇	—	4	1	no	—
456	C₂²×C₄×C₆₇	—	4	1	no	—
457	C₂²×C₄×C₆₇	—	4	1	no	—
458	C₂²×C₄×C₆₇	—	4	1	no	—
459	C₂²×C₄×C₆₇	C₂×D₄	1	4	yes	—
460	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
487	C₄⋊C₄×C₆₇	—	2	2	no	—
488	C₄⋊C₄×C₆₇	—	2	2	no	—
489	C₄⋊C₄×C₆₇	—	2	2	no	—
490	C₄⋊C₄×C₆₇	—	2	2	no	—
491	C₄⋊C₄×C₆₇	—	2	2	no	—
492	C₄⋊C₄×C₆₇	—	2	2	no	—
493	C₄⋊C₄×C₆₇	—	2	2	no	—
494	C₄⋊C₄×C₆₇	—	2	2	no	—
495	C₄⋊C₄×C₆₇	—	2	2	no	—
496	C₄⋊C₄×C₆₇	—	2	2	no	—
497	C₄⋊C₄×C₆₇	—	2	2	no	—
498	C₄⋊C₄×C₆₇	—	2	2	no	—
499	C₄⋊C₄×C₆₇	—	2	2	no	—
500	C₄⋊C₄×C₆₇	—	2	2	no	—
501	C₄⋊C₄×C₆₇	—	2	2	no	—
502	C₄⋊C₄×C₆₇	—	2	2	no	—
503	C₄⋊C₄×C₆₇	—	2	2	no	—
504	C₄⋊C₄×C₆₇	—	2	2	no	—
505	C₄⋊C₄×C₆₇	—	2	2	no	—
506	C₄⋊C₄×C₆₇	—	2	2	no	—
507	C₄⋊C₄×C₆₇	—	2	2	no	—
508	C₄⋊C₄×C₆₇	—	2	2	no	—
509	C₄⋊C₄×C₆₇	—	2	2	no	—
510	C₄⋊C₄×C₆₇	—	2	2	no	—
511	C₄⋊C₄×C₆₇	—	2	2	no	—
512	C₄⋊C₄×C₆₇	—	2	2	no	—
513	C₄⋊C₄×C₆₇	—	2	2	no	—
514	C₄⋊C₄×C₆₇	—	2	2	no	—
515	C₄⋊C₄×C₆₇	—	2	2	no	—
516	C₄⋊C₄×C₆₇	—	2	2	no	—
517	C₄⋊C₄×C₆₇	—	2	2	no	—
518	C₄⋊C₄×C₆₇	—	4	1	no	—
519	C₄⋊C₄×C₆₇	—	4	1	no	—
520	C₄⋊C₄×C₆₇	—	4	1	no	—
521	C₄⋊C₄×C₆₇	—	4	1	no	—
522	C₄⋊C₄×C₆₇	—	4	1	no	—
523	C₄⋊C₄×C₆₇	—	4	1	no	—
524	C₄⋊C₄×C₆₇	—	4	1	no	—
525	C₄⋊C₄×C₆₇	—	4	1	no	—
526	C₄⋊C₄×C₆₇	—	4	1	no	—
527	C₄⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
528	C₄⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
529	C₄⋊C₄×C₆₇	#41	1	4	yes	complemented
530	C₂²⋊C₄×C₆₇	—	2	2	no	—
531	C₂²⋊C₄×C₆₇	—	2	2	no	—
532	C₂²⋊C₄×C₆₇	—	2	2	no	—
533	C₂²⋊C₄×C₆₇	—	2	2	no	—
534	C₂²⋊C₄×C₆₇	—	2	2	no	—
535	C₂²⋊C₄×C₆₇	—	2	2	no	—
536	C₂²⋊C₄×C₆₇	—	2	2	no	—
537	C₂²⋊C₄×C₆₇	—	2	2	no	—
538	C₂²⋊C₄×C₆₇	—	2	2	no	—
539	C₂²⋊C₄×C₆₇	—	2	2	no	—
540	C₂²⋊C₄×C₆₇	—	2	2	no	—
541	C₂²⋊C₄×C₆₇	—	2	2	no	—
542	C₂²⋊C₄×C₆₇	—	2	2	no	—
543	C₂²⋊C₄×C₆₇	—	2	2	no	—
544	C₂²⋊C₄×C₆₇	—	2	2	no	—
545	C₂²⋊C₄×C₆₇	—	2	2	no	—
546	C₂²⋊C₄×C₆₇	—	2	2	no	—
547	C₂²⋊C₄×C₆₇	—	2	2	no	—
548	C₂²⋊C₄×C₆₇	—	2	2	no	—
549	C₂²⋊C₄×C₆₇	—	2	2	no	—
550	C₂²⋊C₄×C₆₇	—	2	2	no	—
551	C₂²⋊C₄×C₆₇	—	2	2	no	—
552	C₂²⋊C₄×C₆₇	—	2	2	no	—
553	C₂²⋊C₄×C₆₇	—	2	2	no	—
554	C₂²⋊C₄×C₆₇	—	4	1	no	—
555	C₂²⋊C₄×C₆₇	—	4	1	no	—
556	C₂²⋊C₄×C₆₇	—	4	1	no	—
557	C₂²⋊C₄×C₆₇	—	4	1	no	—
558	C₂²⋊C₄×C₆₇	—	4	1	no	—
559	C₂²⋊C₄×C₆₇	—	4	1	no	—
560	C₂²⋊C₄×C₆₇	—	4	1	no	—
561	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
562	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
563	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
564	C₄²×C₆₇	—	2	2	no	—
565	C₄²×C₆₇	—	2	2	no	—
566	C₄²×C₆₇	—	2	2	no	—
567	C₄²×C₆₇	—	2	2	no	—
568	C₄²×C₆₇	—	2	2	no	—
569	C₄²×C₆₇	—	2	2	no	—
570	C₄²×C₆₇	—	2	2	no	—
571	C₄²×C₆₇	—	4	1	no	—
572	C₄²×C₆₇	—	4	1	no	—
573	C₄²×C₆₇	—	4	1	no	—
574	C₄²×C₆₇	—	4	1	no	—
575	C₄²×C₆₇	—	4	1	no	—
576	C₄²×C₆₇	—	4	1	no	—
577	C₂³×C₆₇	—	2	1	no	—
578	C₂³×C₆₇	—	2	1	no	—
579	C₂³×C₆₇	—	2	1	no	—
580	C₂³×C₆₇	—	2	1	no	—
581	C₂³×C₆₇	—	2	1	no	—
582	C₂³×C₆₇	—	2	1	no	—
583	C₂³×C₆₇	—	2	1	no	—
584	C₂³×C₆₇	—	2	1	no	—
585	C₂³×C₆₇	—	2	1	no	—
586	C₂³×C₆₇	—	2	1	no	—
587	C₂³×C₆₇	—	2	1	no	—
588	C₂³×C₆₇	—	2	1	no	—
589	C₂³×C₆₇	—	2	1	no	—
590	C₂³×C₆₇	—	2	1	no	—
591	C₂³×C₆₇	—	2	1	no	—
592	C₂³×C₆₇	—	2	1	no	—
593	C₂³×C₆₇	—	2	1	no	—
594	C₂³×C₆₇	—	2	1	no	—
595	C₂³×C₆₇	—	2	1	no	—
596	C₂³×C₆₇	—	2	1	no	—
597	C₂³×C₆₇	—	2	1	no	—
598	C₂³×C₆₇	—	2	1	no	—
599	C₂³×C₆₇	—	2	1	no	—
600	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
601	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
602	C₂³×C₆₇	C₂×#41	1	2	yes	—
603	C₂³×C₆₇	C₂×#41	1	2	yes	—
604	C₂³×C₆₇	H(5,𝔽₂)	1	2	yes	—
605	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
606	Q₈×C₆₇	—	4	4	no	—
607	Q₈×C₆₇	—	4	4	no	—
608	Q₈×C₆₇	—	4	4	no	—
609	D₄×C₆₇	—	2	8	no	—
610	D₄×C₆₇	—	2	8	no	—
611	D₄×C₆₇	—	4	4	no	—
612	D₄×C₆₇	—	4	4	no	—
613	D₄×C₆₇	—	4	4	no	—
614	D₄×C₆₇	—	4	4	no	—
615	C₂×C₄×C₆₇	—	2	8	no	—
616	C₂×C₄×C₆₇	—	2	8	no	—
617	C₂×C₄×C₆₇	—	2	1	no	—
618	C₂×C₄×C₆₇	—	2	1	no	—
619	C₂×C₄×C₆₇	—	2	1	no	—
620	C₂×C₄×C₆₇	—	2	1	no	—
621	C₂×C₄×C₆₇	—	2	1	no	—
622	C₂×C₄×C₆₇	—	2	1	no	—
623	C₂×C₄×C₆₇	—	2	1	no	—
624	C₂×C₄×C₆₇	—	2	1	no	—
625	C₂×C₄×C₆₇	—	2	1	no	—
626	C₂×C₄×C₆₇	—	2	1	no	—
627	C₂×C₄×C₆₇	—	2	1	no	—
628	C₂×C₄×C₆₇	—	2	1	no	—
629	C₂×C₄×C₆₇	—	2	1	no	—
630	C₂×C₄×C₆₇	—	2	1	no	—
631	C₂×C₄×C₆₇	—	2	1	no	—
632	C₂×C₄×C₆₇	—	2	1	no	—
633	C₂×C₄×C₆₇	—	2	1	no	—
634	C₂×C₄×C₆₇	—	2	1	no	—
635	C₂×C₄×C₆₇	—	2	1	no	—
636	C₂×C₄×C₆₇	—	2	1	no	—
637	C₂×C₄×C₆₇	—	2	1	no	—
638	C₂×C₄×C₆₇	—	2	1	no	—
639	C₂×C₄×C₆₇	—	2	1	no	—
640	C₂×C₄×C₆₇	—	2	1	no	—
641	C₂×C₄×C₆₇	—	2	1	no	—
642	C₂×C₄×C₆₇	—	2	1	no	—
643	C₂×C₄×C₆₇	—	2	1	no	—
644	C₂×C₄×C₆₇	—	2	1	no	—
645	C₂×C₄×C₆₇	—	2	1	no	—
646	C₂×C₄×C₆₇	—	2	1	no	—
647	C₂×C₄×C₆₇	—	2	1	no	—
648	C₂×C₄×C₆₇	—	2	1	no	—
649	C₂×C₄×C₆₇	—	2	1	no	—
650	C₂×C₄×C₆₇	—	2	1	no	—
651	C₂×C₄×C₆₇	—	2	1	no	—
652	C₂×C₄×C₆₇	—	2	1	no	—
653	C₂×C₄×C₆₇	—	2	1	no	—
654	C₂×C₄×C₆₇	—	2	1	no	—
655	C₂×C₄×C₆₇	—	2	1	no	—
656	C₂×C₄×C₆₇	—	2	1	no	—
657	C₂×C₄×C₆₇	—	2	1	no	—
658	C₂×C₄×C₆₇	—	2	1	no	—
659	C₂×C₄×C₆₇	—	2	1	no	—
660	C₂×C₄×C₆₇	—	2	1	no	—
661	C₂×C₄×C₆₇	—	2	1	no	—
662	C₂×C₄×C₆₇	—	2	1	no	—
663	C₂×C₄×C₆₇	—	2	1	no	—
664	C₂×C₄×C₆₇	—	2	1	no	—
665	C₂×C₄×C₆₇	—	2	1	no	—
666	C₂×C₄×C₆₇	—	2	1	no	—
667	C₂×C₄×C₆₇	—	2	1	no	—
668	C₂×C₄×C₆₇	—	2	1	no	—
669	C₂×C₄×C₆₇	—	2	1	no	—
670	C₂×C₄×C₆₇	—	2	1	no	—
671	C₂×C₄×C₆₇	—	2	1	no	—
672	C₂×C₄×C₆₇	—	2	1	no	—
673	C₂×C₄×C₆₇	—	2	1	no	—
674	C₂×C₄×C₆₇	—	2	1	no	—
675	C₂×C₄×C₆₇	—	2	1	no	—
676	C₂×C₄×C₆₇	—	2	1	no	—
677	C₂×C₄×C₆₇	—	2	1	no	—
678	C₂×C₄×C₆₇	—	2	1	no	—
679	C₂×C₄×C₆₇	—	2	1	no	—
680	C₂×C₄×C₆₇	—	2	1	no	—
681	C₂×C₄×C₆₇	—	2	1	no	—
682	C₂×C₄×C₆₇	—	2	1	no	—
683	C₂×C₄×C₆₇	—	2	1	no	—
684	C₂×C₄×C₆₇	—	2	1	no	—
685	C₂×C₄×C₆₇	—	2	1	no	—
686	C₂×C₄×C₆₇	—	2	1	no	—
687	C₂×C₄×C₆₇	—	4	4	no	—
688	C₂×C₄×C₆₇	—	4	4	no	—
689	C₂×C₄×C₆₇	—	4	4	no	—
690	C₂×C₄×C₆₇	—	4	4	no	—
691	C₂×C₄×C₆₇	—	4	4	no	—
692	C₂×C₄×C₆₇	—	4	4	no	—
693	C₂×C₄×C₆₇	—	4	4	no	—
694	C₂×C₄×C₆₇	—	4	4	no	—
695	C₂×C₄×C₆₇	—	4	4	no	—
696	C₂×C₄×C₆₇	—	4	4	no	—
697	C₂×C₄×C₆₇	—	4	4	no	—
698	C₂×C₄×C₆₇	—	8	2	no	—
699	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
700	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
701	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
702	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
703	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
704	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
705	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
706	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
707	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
708	C₂×C₄×C₆₇	2₋¹⁺⁴	1	2	yes	—
709	C₂×C₄×C₆₇	2₋¹⁺⁴	1	2	yes	—
710	C₂²×C₆₇	—	2	2	no	—
711	C₂²×C₆₇	—	2	2	no	—
712	C₂²×C₆₇	—	2	2	no	—
713	C₂²×C₆₇	—	2	2	no	—
714	C₂²×C₆₇	—	2	2	no	—
715	C₂²×C₆₇	—	2	2	no	—
716	C₂²×C₆₇	—	2	2	no	—
717	C₂²×C₆₇	—	2	2	no	—
718	C₂²×C₆₇	—	2	2	no	—
719	C₂²×C₆₇	—	2	2	no	—
720	C₂²×C₆₇	—	2	2	no	—
721	C₂²×C₆₇	—	2	2	no	—
722	C₂²×C₆₇	—	4	1	no	—
723	C₂²×C₆₇	—	4	1	no	—
724	C₂²×C₆₇	—	4	1	no	—
725	C₂²×C₆₇	—	4	1	no	—
726	C₂²×C₆₇	—	4	1	no	—
727	C₂²×C₆₇	—	4	1	no	—
728	C₂²×C₆₇	—	4	1	no	—
729	C₂²×C₆₇	—	4	1	no	—
730	C₂²×C₆₇	—	4	1	no	—
731	C₂²×C₆₇	—	4	1	no	—
732	C₂²×C₆₇	—	4	1	no	—
733	C₂²×C₆₇	—	4	1	no	—
734	C₂²×C₆₇	—	4	1	no	—
735	C₂²×C₆₇	—	4	1	no	—
736	C₂²×C₆₇	—	4	1	no	—
737	C₂²×C₆₇	#546	1	4	yes	—
738	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
739	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
740	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
741	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
742	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
743	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
744	C₂²×C₆₇	#585	1	1	yes	characteristic
745	C₄×C₆₇	—	2	2	no	—
746	C₄×C₆₇	—	2	2	no	—
747	C₄×C₆₇	—	2	2	no	—
748	C₄×C₆₇	—	2	2	no	—
749	C₄×C₆₇	—	2	2	no	—
750	C₄×C₆₇	—	2	2	no	—
751	C₄×C₆₇	—	2	2	no	—
752	C₄×C₆₇	—	2	2	no	—
753	C₄×C₆₇	—	2	2	no	—
754	C₄×C₆₇	—	2	2	no	—
755	C₄×C₆₇	—	2	2	no	—
756	C₄×C₆₇	—	4	1	no	—
757	C₄×C₆₇	—	4	1	no	—
758	C₄×C₆₇	—	4	1	no	—
759	C₄×C₆₇	—	4	1	no	—
760	C₄×C₆₇	—	4	1	no	—
761	C₄×C₆₇	—	4	1	no	—
762	C₄×C₆₇	—	4	1	no	—
763	C₄×C₆₇	—	4	1	no	—
764	C₄×C₆₇	—	4	1	no	—
765	C₄×C₆₇	—	4	1	no	—
766	C₄×C₆₇	—	4	1	no	—
767	C₄×C₆₇	—	4	1	no	—
768	C₄×C₆₇	—	4	1	no	—
769	C₄×C₆₇	—	4	1	no	—
770	C₄×C₆₇	—	4	1	no	—
771	C₄×C₆₇	—	4	1	no	—
772	#59801	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
773	C₂×C₆₇	—	2	4	no	—
774	C₂×C₆₇	—	4	2	no	—
775	C₂×C₆₇	—	4	2	no	—
776	C₂×C₆₇	—	8	1	no	—
777	C₂×C₆₇	C₂×#546	1	1	yes	characteristic
778	C₂×C₆₇	D₄×#41	1	1	yes	characteristic
779	C₂×C₆₇	#3482	1	1	yes	characteristic
780	C₂×C₆₇	#3492	1	1	yes	characteristic
781	C₂×C₆₇	#3499	1	1	yes	characteristic
782	C₂×C₆₇	#3515	1	1	yes	characteristic
783	C₂×C₆₇	#3535	1	1	yes	characteristic
784	C₂×#552	C₂×C₆₇	1	1	yes	characteristic, complemented
785	C₂×#547	C₂×C₆₇	1	1	yes	characteristic
786	#2713	C₂×C₆₇	1	1	yes	characteristic, complemented
787	#2694	C₂×C₆₇	1	1	yes	characteristic, complemented
788	#2689	C₂×C₆₇	1	1	yes	characteristic, complemented
789	#2681	C₂×C₆₇	1	1	yes	characteristic, complemented
790	#2559	C₂×C₆₇	1	1	yes	characteristic, complemented
791	#2558	C₂×C₆₇	1	1	yes	characteristic, complemented
792	#2556	C₂×C₆₇	1	1	yes	characteristic, complemented
793	#2553	C₂×C₆₇	1	1	yes	characteristic, complemented
794	#2550	C₂×C₆₇	1	1	yes	characteristic, complemented
795	#2549	C₂×C₆₇	1	1	yes	characteristic, complemented
796	#2488	C₂×C₆₇	1	1	yes	characteristic, complemented
797	#2484	C₂×C₆₇	1	1	yes	characteristic, complemented
798	#2473	C₂×C₆₇	1	1	yes	characteristic, complemented
799	#2470	C₂×C₆₇	1	1	yes	characteristic, complemented
800	#2466	C₂×C₆₇	1	1	yes	characteristic, complemented
801	#2465	C₂×C₆₇	1	1	yes	characteristic, complemented
802	#2449	C₂×C₆₇	1	1	yes	characteristic, complemented
803	#2443	C₂×C₆₇	1	1	yes	characteristic, complemented
804	#2425	C₂×C₆₇	1	1	yes	characteristic, complemented
805	#2413	C₂×C₆₇	1	1	yes	characteristic, complemented
806	#2406	C₂×C₆₇	1	1	yes	characteristic, complemented
807	#2406	C₂×C₆₇	1	1	yes	characteristic, complemented
808	#2360	C₂×C₆₇	1	1	yes	characteristic, complemented
809	#2359	C₂×C₆₇	1	1	yes	characteristic, complemented
810	#2359	C₂×C₆₇	1	1	yes	characteristic, complemented
811	#2339	C₂×C₆₇	1	1	yes	characteristic, complemented
812	C₄×#123	C₂×C₆₇	1	1	yes	characteristic, complemented
813	#2297	C₂×C₆₇	1	1	yes	characteristic, complemented
814	C₂×#389	C₂×C₆₇	1	1	yes	characteristic, complemented
815	C₆₇	#59801	1	1	yes	characteristic, direct product factor, Sylow
816	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
817	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
818	#552	—	2	8	no	—
819	#547	—	2	8	no	—
820	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
821	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic
822	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic
823	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic
824	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic
825	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic
826	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
827	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
828	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
829	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
830	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
831	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
832	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
833	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
834	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
835	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
836	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
837	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
838	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
839	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
840	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
841	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic
842	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
843	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
844	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
845	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
846	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
847	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
848	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
849	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
850	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
851	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
852	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
853	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
854	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic
855	#400	C₂²×C₆₇	1	1	yes	characteristic
856	#400	C₂²×C₆₇	1	1	yes	characteristic
857	#400	C₂²×C₆₇	1	1	yes	characteristic
858	#400	C₂²×C₆₇	1	1	yes	characteristic
859	#399	C₂²×C₆₇	1	1	yes	characteristic
860	#399	C₂²×C₆₇	1	1	yes	characteristic
861	#398	C₂²×C₆₇	1	1	yes	characteristic
862	#398	C₂²×C₆₇	1	1	yes	characteristic
863	#398	C₂²×C₆₇	1	1	yes	characteristic
864	#398	C₂²×C₆₇	1	1	yes	characteristic
865	#398	C₂²×C₆₇	1	1	yes	characteristic
866	#398	C₂²×C₆₇	1	1	yes	characteristic
867	#398	C₂²×C₆₇	1	1	yes	characteristic
868	#397	C₂²×C₆₇	1	1	yes	characteristic
869	#397	C₂²×C₆₇	1	1	yes	characteristic
870	#397	C₂²×C₆₇	1	1	yes	characteristic
871	#396	C₂²×C₆₇	1	1	yes	characteristic
872	#396	C₂²×C₆₇	1	1	yes	characteristic
873	#396	C₂²×C₆₇	1	1	yes	characteristic
874	#396	C₂²×C₆₇	1	1	yes	characteristic
875	#395	C₂²×C₆₇	1	1	yes	characteristic
876	#395	C₂²×C₆₇	1	1	yes	characteristic
877	#395	C₂²×C₆₇	1	1	yes	characteristic
878	#395	C₂²×C₆₇	1	1	yes	characteristic
879	#395	C₂²×C₆₇	1	1	yes	characteristic
880	#394	C₂²×C₆₇	1	1	yes	characteristic
881	#394	C₂²×C₆₇	1	1	yes	characteristic
882	#394	C₂²×C₆₇	1	1	yes	characteristic
883	#394	C₂²×C₆₇	1	1	yes	characteristic
884	#394	C₂²×C₆₇	1	1	yes	characteristic
885	#394	C₂²×C₆₇	1	1	yes	characteristic
886	#393	C₂²×C₆₇	1	1	yes	characteristic
887	#391	C₂²×C₆₇	1	1	yes	characteristic
888	#391	C₂²×C₆₇	1	1	yes	characteristic
889	#391	C₂²×C₆₇	1	1	yes	characteristic
890	#391	C₂²×C₆₇	1	1	yes	characteristic
891	#391	C₂²×C₆₇	1	1	yes	characteristic
892	#390	C₂²×C₆₇	1	1	yes	characteristic
893	#390	C₂²×C₆₇	1	1	yes	characteristic
894	#389	C₂²×C₆₇	1	1	yes	characteristic
895	#389	C₂²×C₆₇	1	1	yes	characteristic
896	#389	C₂²×C₆₇	1	1	yes	characteristic
897	#389	C₂²×C₆₇	1	1	yes	characteristic
898	#389	C₂²×C₆₇	1	1	yes	characteristic
899	#389	C₂²×C₆₇	1	1	yes	characteristic
900	#389	C₂²×C₆₇	1	1	yes	characteristic
901	#389	C₂²×C₆₇	1	1	yes	characteristic
902	#389	C₂²×C₆₇	1	1	yes	characteristic
903	#389	C₂²×C₆₇	1	1	yes	characteristic
904	#389	C₂²×C₆₇	1	1	yes	characteristic
905	#389	C₂²×C₆₇	1	1	yes	characteristic
906	#389	C₂²×C₆₇	1	1	yes	characteristic
907	#388	C₂²×C₆₇	1	1	yes	characteristic
908	#388	C₂²×C₆₇	1	1	yes	characteristic
909	#388	C₂²×C₆₇	1	1	yes	characteristic
910	#388	C₂²×C₆₇	1	1	yes	characteristic
911	#388	C₂²×C₆₇	1	1	yes	characteristic
912	#388	C₂²×C₆₇	1	1	yes	characteristic
913	#388	C₂²×C₆₇	1	1	yes	characteristic
914	#388	C₂²×C₆₇	1	1	yes	characteristic
915	#388	C₂²×C₆₇	1	1	yes	characteristic
916	#388	C₂²×C₆₇	1	1	yes	characteristic
917	#387	C₂²×C₆₇	1	1	yes	characteristic
918	#387	C₂²×C₆₇	1	1	yes	characteristic
919	#387	C₂²×C₆₇	1	1	yes	characteristic
920	#387	C₂²×C₆₇	1	1	yes	characteristic
921	#387	C₂²×C₆₇	1	1	yes	characteristic
922	#387	C₂²×C₆₇	1	1	yes	characteristic
923	#387	C₂²×C₆₇	1	1	yes	characteristic
924	#387	C₂²×C₆₇	1	1	yes	characteristic
925	#387	C₂²×C₆₇	1	1	yes	characteristic
926	#387	C₂²×C₆₇	1	1	yes	characteristic
927	#386	C₂²×C₆₇	1	1	yes	characteristic
928	#386	C₂²×C₆₇	1	1	yes	characteristic
929	#386	C₂²×C₆₇	1	1	yes	characteristic
930	#386	C₂²×C₆₇	1	1	yes	characteristic
931	#386	C₂²×C₆₇	1	1	yes	characteristic
932	#386	C₂²×C₆₇	1	1	yes	characteristic
933	#386	C₂²×C₆₇	1	1	yes	characteristic
934	#386	C₂²×C₆₇	1	1	yes	characteristic
935	#386	C₂²×C₆₇	1	1	yes	characteristic
936	#386	C₂²×C₆₇	1	1	yes	characteristic
937	#385	C₂²×C₆₇	1	1	yes	characteristic
938	#385	C₂²×C₆₇	1	1	yes	characteristic
939	#385	C₂²×C₆₇	1	1	yes	characteristic
940	#385	C₂²×C₆₇	1	1	yes	characteristic
941	#385	C₂²×C₆₇	1	1	yes	characteristic
942	#385	C₂²×C₆₇	1	1	yes	characteristic
943	#385	C₂²×C₆₇	1	1	yes	characteristic
944	#385	C₂²×C₆₇	1	1	yes	characteristic
945	#385	C₂²×C₆₇	1	1	yes	characteristic
946	#385	C₂²×C₆₇	1	1	yes	characteristic
947	#385	C₂²×C₆₇	1	1	yes	characteristic
948	#385	C₂²×C₆₇	1	1	yes	characteristic
949	#385	C₂²×C₆₇	1	1	yes	characteristic
950	#385	C₂²×C₆₇	1	1	yes	characteristic
951	#382	C₂²×C₆₇	1	1	yes	characteristic
952	#381	C₂²×C₆₇	1	1	yes	characteristic
953	#381	C₂²×C₆₇	1	1	yes	characteristic
954	#381	C₂²×C₆₇	1	1	yes	characteristic
955	#381	C₂²×C₆₇	1	1	yes	characteristic
956	#380	C₂²×C₆₇	1	1	yes	characteristic
957	#380	C₂²×C₆₇	1	1	yes	characteristic
958	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
959	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
960	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
961	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
962	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
963	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
964	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
965	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
966	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
967	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
968	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
969	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
970	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
971	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
972	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic
973	C₂×#41	—	2	4	no	—
974	C₂×#41	—	2	4	no	—
975	C₂×#41	—	2	4	no	—
976	C₂×#41	—	2	4	no	—
977	C₂×#41	—	4	2	no	—
978	C₂×#41	—	4	2	no	—
979	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
980	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
981	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
982	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
983	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
984	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
985	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
986	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
987	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
988	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
991	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
993	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
994	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
995	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
996	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
997	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
998	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
999	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1000	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1001	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1002	C₄⋊Q₈	—	2	4	no	—
1003	#126	—	2	4	no	—
1004	#126	—	2	4	no	—
1005	#125	—	2	4	no	—
1006	#125	—	2	4	no	—
1007	#125	—	2	4	no	—
1008	#123	—	2	4	no	—
1009	#123	—	2	4	no	—
1010	#123	—	2	4	no	—
1011	#123	—	2	4	no	—
1012	#123	—	2	4	no	—
1013	#123	—	2	4	no	—
1014	#123	—	4	2	no	—
1015	#123	D₄×C₆₇	1	8	yes	—
1016	C₂²⋊Q₈	—	2	4	no	—
1017	C₂²⋊Q₈	—	2	4	no	—
1018	C₂²⋊Q₈	—	2	4	no	—
1019	C₂²⋊Q₈	—	2	4	no	—
1020	C₂²⋊Q₈	—	2	4	no	—
1021	#121	—	2	4	no	—
1022	#121	—	2	4	no	—
1023	C₄×Q₈	—	2	4	no	—
1024	C₄×D₄	—	2	4	no	—
1025	C₄×D₄	—	2	4	no	—
1026	C₄×D₄	—	2	4	no	—
1027	C₄×D₄	—	4	2	no	—
1028	#117	—	2	4	no	—
1029	#117	—	2	4	no	—
1030	#117	—	2	4	no	—
1031	C₂×C₄⋊C₄	—	2	4	no	—
1032	C₂×C₄⋊C₄	—	2	4	no	—
1033	C₂×C₄⋊C₄	—	2	4	no	—
1034	C₂×C₄⋊C₄	—	2	4	no	—
1035	C₂×C₄⋊C₄	—	4	2	no	—
1036	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1113	C₂×C₄²	—	4	2	no	—
1114	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1115	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1116	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1117	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1118	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1119	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1120	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1121	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1122	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1123	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1124	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1125	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1126	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1127	#95	C₂³×C₆₇	1	1	yes	characteristic
1128	#95	C₂³×C₆₇	1	1	yes	characteristic
1129	#95	C₂³×C₆₇	1	1	yes	characteristic
1130	#95	C₂³×C₆₇	1	1	yes	characteristic
1131	#95	C₂³×C₆₇	1	1	yes	characteristic
1132	#95	C₂³×C₆₇	1	1	yes	characteristic
1133	#95	C₂³×C₆₇	1	1	yes	characteristic
1134	#95	C₂³×C₆₇	1	1	yes	characteristic
1135	#95	C₂³×C₆₇	1	1	yes	characteristic
1136	#95	C₂³×C₆₇	1	1	yes	characteristic
1137	#95	C₂³×C₆₇	1	1	yes	characteristic
1138	#95	C₂³×C₆₇	1	1	yes	characteristic
1139	#95	C₂³×C₆₇	1	1	yes	characteristic
1140	#95	C₂³×C₆₇	1	1	yes	characteristic
1141	#95	C₂³×C₆₇	1	1	yes	characteristic
1142	#95	C₂³×C₆₇	1	1	yes	characteristic
1143	#95	C₂³×C₆₇	1	1	yes	characteristic
1144	#95	C₂³×C₆₇	1	1	yes	characteristic
1145	#95	C₂³×C₆₇	1	1	yes	characteristic
1146	#95	C₂³×C₆₇	1	1	yes	characteristic
1147	#95	C₂³×C₆₇	1	1	yes	characteristic
1148	#95	C₂³×C₆₇	1	1	yes	characteristic
1149	#95	C₂³×C₆₇	1	1	yes	characteristic
1150	#95	C₂³×C₆₇	1	1	yes	characteristic
1151	#95	C₂³×C₆₇	1	1	yes	characteristic
1152	#95	C₂³×C₆₇	1	1	yes	characteristic
1153	#95	C₂³×C₆₇	1	1	yes	characteristic
1154	#95	C₂³×C₆₇	1	1	yes	characteristic
1155	#95	C₂³×C₆₇	1	1	yes	characteristic
1156	#95	C₂³×C₆₇	1	1	yes	characteristic
1157	#95	C₂³×C₆₇	1	1	yes	characteristic
1158	#95	C₂³×C₆₇	1	1	yes	characteristic
1159	#95	C₂³×C₆₇	1	1	yes	characteristic
1160	#95	C₂³×C₆₇	1	1	yes	characteristic
1161	#95	C₂³×C₆₇	1	1	yes	characteristic
1162	#95	C₂³×C₆₇	1	1	yes	characteristic
1163	#95	C₂³×C₆₇	1	1	yes	characteristic
1164	#95	C₂³×C₆₇	1	1	yes	characteristic
1165	#95	C₂³×C₆₇	1	1	yes	characteristic
1166	#95	C₂³×C₆₇	1	1	yes	characteristic
1167	#95	C₂³×C₆₇	1	1	yes	characteristic
1168	#95	C₂³×C₆₇	1	1	yes	characteristic
1169	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1170	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1171	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1172	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1173	#41	—	4	16	no	—
1174	#41	—	4	16	no	—
1175	C₂×Q₈	—	2	2	no	—
1176	C₂×Q₈	—	2	2	no	—
1177	C₂×Q₈	—	2	2	no	—
1178	C₂×Q₈	—	2	2	no	—
1179	C₂×Q₈	—	2	2	no	—
1180	C₂×Q₈	—	2	2	no	—
1181	C₂×Q₈	—	4	1	no	—
1182	C₂×Q₈	—	4	1	no	—
1183	C₂×Q₈	—	4	1	no	—
1184	C₂×D₄	—	2	2	no	—
1185	C₂×D₄	—	2	2	no	—
1186	C₂×D₄	—	2	2	no	—
1187	C₂×D₄	—	2	2	no	—
1188	C₂×D₄	—	2	2	no	—
1189	C₂×D₄	—	2	2	no	—
1190	C₂×D₄	—	2	2	no	—
1191	C₂×D₄	—	2	2	no	—
1192	C₂×D₄	—	2	2	no	—
1193	C₂×D₄	—	2	2	no	—
1194	C₂×D₄	—	2	2	no	—
1195	C₂×D₄	—	2	2	no	—
1196	C₂×D₄	—	2	2	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	C₂×D₄×C₆₇	1	4	yes	—
1201	C₂×D₄	#41×C₆₇	1	4	yes	—
1202	C₂²×C₄	—	2	2	no	—
1203	C₂²×C₄	—	2	2	no	—
1204	C₂²×C₄	—	2	2	no	—
1205	C₂²×C₄	—	2	2	no	—
1206	C₂²×C₄	—	2	2	no	—
1207	C₂²×C₄	—	2	2	no	—
1208	C₂²×C₄	—	2	2	no	—
1209	C₂²×C₄	—	2	2	no	—
1210	C₂²×C₄	—	2	2	no	—
1211	C₂²×C₄	—	2	2	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	2	2	no	—
1223	C₂²×C₄	—	2	2	no	—
1224	C₂²×C₄	—	2	2	no	—
1225	C₂²×C₄	—	2	2	no	—
1226	C₂²×C₄	—	2	2	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	2	2	no	—
1230	C₂²×C₄	—	2	2	no	—
1231	C₂²×C₄	—	2	2	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	4	1	no	—
1235	C₂²×C₄	—	4	1	no	—
1236	C₂²×C₄	—	4	1	no	—
1237	C₂²×C₄	—	4	1	no	—
1238	C₂²×C₄	—	4	1	no	—
1239	C₂²×C₄	—	4	1	no	—
1240	C₂²×C₄	—	4	1	no	—
1241	C₂²×C₄	—	4	1	no	—
1242	C₂²×C₄	—	4	1	no	—
1243	C₂²×C₄	C₂×D₄×C₆₇	1	4	yes	—
1244	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1271	C₄⋊C₄	—	2	2	no	—
1272	C₄⋊C₄	—	2	2	no	—
1273	C₄⋊C₄	—	2	2	no	—
1274	C₄⋊C₄	—	2	2	no	—
1275	C₄⋊C₄	—	2	2	no	—
1276	C₄⋊C₄	—	2	2	no	—
1277	C₄⋊C₄	—	2	2	no	—
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	2	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	2	no	—
1283	C₄⋊C₄	—	2	2	no	—
1284	C₄⋊C₄	—	2	2	no	—
1285	C₄⋊C₄	—	2	2	no	—
1286	C₄⋊C₄	—	2	2	no	—
1287	C₄⋊C₄	—	2	2	no	—
1288	C₄⋊C₄	—	2	2	no	—
1289	C₄⋊C₄	—	2	2	no	—
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	2	2	no	—
1292	C₄⋊C₄	—	2	2	no	—
1293	C₄⋊C₄	—	2	2	no	—
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	2	2	no	—
1296	C₄⋊C₄	—	2	2	no	—
1297	C₄⋊C₄	—	2	2	no	—
1298	C₄⋊C₄	—	2	2	no	—
1299	C₄⋊C₄	—	2	2	no	—
1300	C₄⋊C₄	—	2	2	no	—
1301	C₄⋊C₄	—	2	2	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	—	4	1	no	—
1310	C₄⋊C₄	—	4	1	no	—
1311	C₄⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1312	C₄⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1313	C₄⋊C₄	#41×C₆₇	1	4	yes	complemented
1314	C₂²⋊C₄	—	2	2	no	—
1315	C₂²⋊C₄	—	2	2	no	—
1316	C₂²⋊C₄	—	2	2	no	—
1317	C₂²⋊C₄	—	2	2	no	—
1318	C₂²⋊C₄	—	2	2	no	—
1319	C₂²⋊C₄	—	2	2	no	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	2	2	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	4	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1346	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1347	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1348	C₄²	—	2	2	no	—
1349	C₄²	—	2	2	no	—
1350	C₄²	—	2	2	no	—
1351	C₄²	—	2	2	no	—
1352	C₄²	—	2	2	no	—
1353	C₄²	—	2	2	no	—
1354	C₄²	—	2	2	no	—
1355	C₄²	—	4	1	no	—
1356	C₄²	—	4	1	no	—
1357	C₄²	—	4	1	no	—
1358	C₄²	—	4	1	no	—
1359	C₄²	—	4	1	no	—
1360	C₄²	—	4	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
1385	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
1386	C₂³	C₂×#41×C₆₇	1	2	yes	—
1387	C₂³	C₂×#41×C₆₇	1	2	yes	—
1388	C₂³	H(5,𝔽₂)×C₆₇	1	2	yes	—
1389	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1390	Q₈	—	4	4	no	—
1391	Q₈	—	4	4	no	—
1392	Q₈	—	4	4	no	—
1393	D₄	—	2	8	no	—
1394	D₄	—	2	8	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	4	4	no	—
1397	D₄	—	4	4	no	—
1398	D₄	—	4	4	no	—
1399	C₂×C₄	—	2	8	no	—
1400	C₂×C₄	—	2	8	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	4	4	no	—
1472	C₂×C₄	—	4	4	no	—
1473	C₂×C₄	—	4	4	no	—
1474	C₂×C₄	—	4	4	no	—
1475	C₂×C₄	—	4	4	no	—
1476	C₂×C₄	—	4	4	no	—
1477	C₂×C₄	—	4	4	no	—
1478	C₂×C₄	—	4	4	no	—
1479	C₂×C₄	—	4	4	no	—
1480	C₂×C₄	—	4	4	no	—
1481	C₂×C₄	—	4	4	no	—
1482	C₂×C₄	—	8	2	no	—
1483	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1484	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1485	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1486	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1487	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1488	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1489	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1490	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1491	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1492	C₂×C₄	2₋¹⁺⁴×C₆₇	1	2	yes	—
1493	C₂×C₄	2₋¹⁺⁴×C₆₇	1	2	yes	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	2	2	no	—
1504	C₂²	—	2	2	no	—
1505	C₂²	—	2	2	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	#546×C₆₇	1	4	yes	—
1522	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1523	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1524	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1525	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1526	C₂²	C₂×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
1527	C₂²	C₂×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
1528	C₂²	#585×C₆₇	1	1	yes	characteristic
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	2	2	no	—
1539	C₄	—	2	2	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₂	—	2	4	no	—
1557	C₂	—	4	2	no	—
1558	C₂	—	4	2	no	—
1559	C₂	—	8	1	no	—
1560	C₂	C₂×#546×C₆₇	1	1	yes	characteristic
1561	C₂	D₄×#41×C₆₇	1	1	yes	characteristic
1562	C₂	C₆₇×#3482	1	1	yes	characteristic
1563	C₂	C₆₇×#3492	1	1	yes	characteristic
1564	C₂	C₆₇×#3499	1	1	yes	characteristic
1565	C₂	C₆₇×#3515	1	1	yes	characteristic
1566	C₂	C₆₇×#3535	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₆₇
prime radical	C₂×#547×C₆₇	C₂
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×#552×C₆₇	C₂	semidirect
3. C₆₇×#2713	C₂	semidirect
4. C₆₇×#2694	C₂	semidirect
5. C₆₇×#2689	C₂	semidirect
6. C₆₇×#2681	C₂	semidirect
7. C₆₇×#2559	C₂	semidirect
8. C₆₇×#2558	C₂	semidirect
9. C₆₇×#2556	C₂	semidirect
10. C₆₇×#2553	C₂	semidirect
11. C₆₇×#2550	C₂	semidirect
12. C₆₇×#2549	C₂	semidirect
13. C₆₇×#2488	C₂	semidirect
14. C₆₇×#2484	C₂	semidirect
15. C₆₇×#2473	C₂	semidirect
16. C₆₇×#2470	C₂	semidirect
17. C₆₇×#2466	C₂	semidirect
18. C₆₇×#2465	C₂	semidirect
19. C₆₇×#2449	C₂	semidirect
20. C₆₇×#2443	C₂	semidirect
21. C₆₇×#2425	C₂	semidirect
22. C₆₇×#2413	C₂	semidirect
23. C₆₇×#2406	C₂	semidirect
24. C₆₇×#2406	C₂	semidirect
25. C₆₇×#2360	C₂	semidirect
26. C₆₇×#2359	C₂	semidirect
27. C₆₇×#2359	C₂	semidirect
28. C₆₇×#2339	C₂	semidirect
29. C₄×#123×C₆₇	C₂	semidirect
30. C₆₇×#2297	C₂	semidirect
31. C₂×#389×C₆₇	C₂	semidirect
529. C₄⋊C₄×C₆₇	#41	semidirect
772. #59801	C₆₇	direct (N × H)
784. C₂×#552	C₂×C₆₇	semidirect
786. #2713	C₂×C₆₇	semidirect
787. #2694	C₂×C₆₇	semidirect
788. #2689	C₂×C₆₇	semidirect
789. #2681	C₂×C₆₇	semidirect
790. #2559	C₂×C₆₇	semidirect
791. #2558	C₂×C₆₇	semidirect
792. #2556	C₂×C₆₇	semidirect
793. #2553	C₂×C₆₇	semidirect
794. #2550	C₂×C₆₇	semidirect
795. #2549	C₂×C₆₇	semidirect
796. #2488	C₂×C₆₇	semidirect
797. #2484	C₂×C₆₇	semidirect
798. #2473	C₂×C₆₇	semidirect
799. #2470	C₂×C₆₇	semidirect
800. #2466	C₂×C₆₇	semidirect
801. #2465	C₂×C₆₇	semidirect
802. #2449	C₂×C₆₇	semidirect
803. #2443	C₂×C₆₇	semidirect
804. #2425	C₂×C₆₇	semidirect
805. #2413	C₂×C₆₇	semidirect
806. #2406	C₂×C₆₇	semidirect
807. #2406	C₂×C₆₇	semidirect
808. #2360	C₂×C₆₇	semidirect
809. #2359	C₂×C₆₇	semidirect
810. #2359	C₂×C₆₇	semidirect
811. #2339	C₂×C₆₇	semidirect
812. C₄×#123	C₂×C₆₇	semidirect
813. #2297	C₂×C₆₇	semidirect
814. C₂×#389	C₂×C₆₇	semidirect
815. C₆₇	#59801	direct (N × H)
1313. C₄⋊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×#552×C₆₇	2
C₂×#547×C₆₇	2
C₆₇×#2713	2
C₆₇×#2694	2
C₆₇×#2689	2
C₆₇×#2681	2
C₆₇×#2559	2
C₆₇×#2558	2
C₆₇×#2556	2
C₆₇×#2553	2
C₆₇×#2550	2
C₆₇×#2549	2
C₆₇×#2488	2
C₆₇×#2484	2
C₆₇×#2473	2
C₆₇×#2470	2
C₆₇×#2466	2
C₆₇×#2465	2
C₆₇×#2449	2
C₆₇×#2443	2
C₆₇×#2425	2
C₆₇×#2413	2
C₆₇×#2406	2
C₆₇×#2360	2
C₆₇×#2359	2
C₆₇×#2339	2
C₄×#123×C₆₇	2
C₆₇×#2297	2
C₂×#389×C₆₇	2
#59801	67

Subgroups — C67×#59801 #30739052

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#59801 #30739052