Subgroups — C₆₇×#59804 #30739055

Order 17152.

2576 conjugacy classes of subgroups.

The subgroup lattice has 1684 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×#546×C₆₇	C₂	1	1	yes	maximal, characteristic
3	C₆₇×#2711	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#2700	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#2690	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#2685	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×#2521	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2490	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#2482	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#2480	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#2476	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#2472	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#2472	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#2460	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#2458	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#2450	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#2444	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#2425	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2411	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#2406	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#2405	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#2367	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#2359	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#2342	C₂	1	1	yes	maximal, characteristic, complemented
28	D₄×C₂²⋊C₄×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#123×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₇×#2297	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#388×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
33	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic
34	#552×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×#125×C₆₇	C₂²	1	1	yes	characteristic, complemented
40	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
42	C₂×#124×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, complemented
48	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
51	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
52	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
53	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
54	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
55	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
56	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×D₄×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×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
62	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
63	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
64	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
65	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
66	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
67	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
68	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
69	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
70	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
71	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
72	#400×C₆₇	C₂²	1	1	yes	characteristic, complemented
73	#399×C₆₇	C₂²	1	1	yes	characteristic
74	#399×C₆₇	C₂²	1	1	yes	characteristic, complemented
75	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
76	#398×C₆₇	C₂²	1	1	yes	characteristic, complemented
77	#397×C₆₇	C₂²	1	1	yes	characteristic
78	#397×C₆₇	C₂²	1	1	yes	characteristic
79	#397×C₆₇	C₂²	1	1	yes	characteristic, complemented
80	#397×C₆₇	C₂²	1	1	yes	characteristic, complemented
81	#397×C₆₇	C₂²	1	1	yes	characteristic, complemented
82	#397×C₆₇	C₂²	1	1	yes	characteristic, complemented
83	#396×C₆₇	C₂²	1	1	yes	characteristic
84	#396×C₆₇	C₂²	1	1	yes	characteristic, complemented
85	#396×C₆₇	C₂²	1	1	yes	characteristic, complemented
86	#396×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#395×C₆₇	C₂²	1	1	yes	characteristic, complemented
88	#395×C₆₇	C₂²	1	1	yes	characteristic, complemented
89	#394×C₆₇	C₂²	1	1	yes	characteristic
90	#394×C₆₇	C₂²	1	1	yes	characteristic
91	#394×C₆₇	C₂²	1	1	yes	characteristic
92	#394×C₆₇	C₂²	1	1	yes	characteristic
93	#394×C₆₇	C₂²	1	1	yes	characteristic
94	#394×C₆₇	C₂²	1	1	yes	characteristic
95	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
96	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
97	#394×C₆₇	C₂²	1	1	yes	characteristic, complemented
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	#393×C₆₇	C₂²	1	1	yes	characteristic, complemented
102	#393×C₆₇	C₂²	1	1	yes	characteristic, complemented
103	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
104	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
105	#391×C₆₇	C₂²	1	1	yes	characteristic, complemented
106	#390×C₆₇	C₂²	1	1	yes	characteristic
107	#390×C₆₇	C₂²	1	1	yes	characteristic
108	#390×C₆₇	C₂²	1	1	yes	characteristic
109	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
112	#390×C₆₇	C₂²	1	1	yes	characteristic, complemented
113	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
114	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
115	#388×C₆₇	C₂²	1	1	yes	characteristic
116	#388×C₆₇	C₂²	1	1	yes	characteristic
117	#388×C₆₇	C₂²	1	1	yes	characteristic
118	#388×C₆₇	C₂²	1	1	yes	characteristic
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, complemented
124	#388×C₆₇	C₂²	1	1	yes	characteristic, complemented
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	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
142	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
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, complemented
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	#385×C₆₇	C₂²	1	1	yes	characteristic
155	#385×C₆₇	C₂²	1	1	yes	characteristic
156	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
157	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
158	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	#385×C₆₇	C₂²	1	1	yes	characteristic, complemented
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	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
166	#381×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	#380×C₆₇	C₂²	1	1	yes	characteristic
168	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#380×C₆₇	C₂²	1	1	yes	characteristic, complemented
170	#379×C₆₇	C₂²	1	1	yes	characteristic
171	#379×C₆₇	C₂²	1	1	yes	characteristic
172	#379×C₆₇	C₂²	1	1	yes	characteristic
173	#379×C₆₇	C₂²	1	1	yes	characteristic
174	#379×C₆₇	C₂²	1	1	yes	characteristic
175	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×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×Q₈×C₆₇	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₆₇	—	2	4	no	—
197	C₂²×D₄×C₆₇	—	2	4	no	—
198	C₂²×D₄×C₆₇	—	4	2	no	—
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	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
220	#126×C₆₇	—	2	4	no	—
221	#126×C₆₇	—	2	4	no	—
222	#125×C₆₇	—	2	4	no	—
223	#125×C₆₇	—	2	4	no	—
224	#125×C₆₇	—	2	4	no	—
225	#124×C₆₇	—	2	4	no	—
226	#124×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	#121×C₆₇	—	2	4	no	—
236	#121×C₆₇	—	2	4	no	—
237	#121×C₆₇	—	2	4	no	—
238	#120×C₆₇	—	2	4	no	—
239	#120×C₆₇	—	2	4	no	—
240	C₄×Q₈×C₆₇	—	2	4	no	—
241	C₄×D₄×C₆₇	—	2	4	no	—
242	C₄×D₄×C₆₇	—	2	4	no	—
243	C₄×D₄×C₆₇	—	2	4	no	—
244	C₄×D₄×C₆₇	—	4	2	no	—
245	#117×C₆₇	—	2	4	no	—
246	#117×C₆₇	—	2	4	no	—
247	#117×C₆₇	—	2	4	no	—
248	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
249	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
267	C₂×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×C₂²⋊C₄×C₆₇	—	2	4	no	—
279	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
280	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
281	C₂×C₂²⋊C₄×C₆₇	—	2	4	no	—
282	C₂×C₂²⋊C₄×C₆₇	—	4	2	no	—
283	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
318	C₂×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×C₄²×C₆₇	—	4	2	no	—
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	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×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	—	2	2	no	—
386	C₂⁴×C₆₇	—	2	2	no	—
387	C₂⁴×C₆₇	—	2	2	no	—
388	C₂⁴×C₆₇	—	2	2	no	—
389	C₂⁴×C₆₇	—	2	2	no	—
390	C₂⁴×C₆₇	—	2	2	no	—
391	C₂⁴×C₆₇	—	2	2	no	—
392	C₂⁴×C₆₇	—	4	1	no	—
393	C₂⁴×C₆₇	—	4	1	no	—
394	C₂⁴×C₆₇	—	4	1	no	—
395	C₂⁴×C₆₇	—	4	1	no	—
396	C₂⁴×C₆₇	—	4	1	no	—
397	C₂⁴×C₆₇	—	4	1	no	—
398	C₂⁴×C₆₇	—	4	1	no	—
399	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
400	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
401	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
402	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
404	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
405	#41×C₆₇	—	4	16	no	—
406	C₂×Q₈×C₆₇	—	2	2	no	—
407	C₂×Q₈×C₆₇	—	2	2	no	—
408	C₂×Q₈×C₆₇	—	2	2	no	—
409	C₂×Q₈×C₆₇	—	2	2	no	—
410	C₂×Q₈×C₆₇	—	4	1	no	—
411	C₂×Q₈×C₆₇	—	4	1	no	—
412	C₂×D₄×C₆₇	—	2	2	no	—
413	C₂×D₄×C₆₇	—	2	2	no	—
414	C₂×D₄×C₆₇	—	2	2	no	—
415	C₂×D₄×C₆₇	—	2	2	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	—	4	1	no	—
430	C₂×D₄×C₆₇	—	4	1	no	—
431	C₂×D₄×C₆₇	—	4	1	no	—
432	C₂×D₄×C₆₇	—	4	1	no	—
433	C₂×D₄×C₆₇	—	4	1	no	—
434	C₂×D₄×C₆₇	—	4	1	no	—
435	C₂×D₄×C₆₇	—	4	1	no	—
436	C₂×D₄×C₆₇	—	4	1	no	—
437	C₂×D₄×C₆₇	—	4	16	no	—
438	C₂×D₄×C₆₇	C₂×D₄	1	4	yes	—
439	C₂×D₄×C₆₇	#41	1	4	yes	—
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	—	2	2	no	—
449	C₂²×C₄×C₆₇	—	2	2	no	—
450	C₂²×C₄×C₆₇	—	2	2	no	—
451	C₂²×C₄×C₆₇	—	2	2	no	—
452	C₂²×C₄×C₆₇	—	2	2	no	—
453	C₂²×C₄×C₆₇	—	2	2	no	—
454	C₂²×C₄×C₆₇	—	2	2	no	—
455	C₂²×C₄×C₆₇	—	2	2	no	—
456	C₂²×C₄×C₆₇	—	2	2	no	—
457	C₂²×C₄×C₆₇	—	2	2	no	—
458	C₂²×C₄×C₆₇	—	2	2	no	—
459	C₂²×C₄×C₆₇	—	2	2	no	—
460	C₂²×C₄×C₆₇	—	2	2	no	—
461	C₂²×C₄×C₆₇	—	4	1	no	—
462	C₂²×C₄×C₆₇	—	4	1	no	—
463	C₂²×C₄×C₆₇	—	4	1	no	—
464	C₂²×C₄×C₆₇	—	4	1	no	—
465	C₂²×C₄×C₆₇	—	4	1	no	—
466	C₂²×C₄×C₆₇	—	4	1	no	—
467	C₂²×C₄×C₆₇	—	4	1	no	—
468	C₂²×C₄×C₆₇	—	4	1	no	—
469	C₂²×C₄×C₆₇	—	4	1	no	—
470	C₂²×C₄×C₆₇	—	4	1	no	—
471	C₂²×C₄×C₆₇	—	4	1	no	—
472	C₂²×C₄×C₆₇	—	4	1	no	—
473	C₂²×C₄×C₆₇	—	4	1	no	—
474	C₂²×C₄×C₆₇	—	4	1	no	—
475	C₂²×C₄×C₆₇	C₂×D₄	1	4	yes	—
476	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
501	C₄⋊C₄×C₆₇	—	2	2	no	—
502	C₄⋊C₄×C₆₇	—	2	2	no	—
503	C₄⋊C₄×C₆₇	—	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	—	2	2	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	—	4	1	no	—
528	C₄⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
529	C₄⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
555	C₂²⋊C₄×C₆₇	—	2	2	no	—
556	C₂²⋊C₄×C₆₇	—	2	2	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	—	4	1	no	—
562	C₂²⋊C₄×C₆₇	—	4	1	no	—
563	C₂²⋊C₄×C₆₇	—	4	1	no	—
564	C₂²⋊C₄×C₆₇	—	4	1	no	—
565	C₂²⋊C₄×C₆₇	—	4	1	no	—
566	C₂²⋊C₄×C₆₇	—	4	1	no	—
567	C₂²⋊C₄×C₆₇	—	4	1	no	—
568	C₂²⋊C₄×C₆₇	—	4	1	no	—
569	C₂²⋊C₄×C₆₇	—	4	1	no	—
570	C₂²⋊C₄×C₆₇	—	4	1	no	—
571	C₂²⋊C₄×C₆₇	—	4	1	no	—
572	C₂²⋊C₄×C₆₇	—	4	1	no	—
573	C₂²⋊C₄×C₆₇	—	4	1	no	—
574	C₂²⋊C₄×C₆₇	—	4	1	no	—
575	C₂²⋊C₄×C₆₇	—	4	1	no	—
576	C₂²⋊C₄×C₆₇	—	4	1	no	—
577	C₂²⋊C₄×C₆₇	—	4	1	no	—
578	C₂²⋊C₄×C₆₇	—	4	1	no	—
579	C₂²⋊C₄×C₆₇	—	4	1	no	—
580	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
581	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
582	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
583	C₂²⋊C₄×C₆₇	#41	1	4	yes	complemented
584	C₄²×C₆₇	—	2	2	no	—
585	C₄²×C₆₇	—	2	2	no	—
586	C₄²×C₆₇	—	2	2	no	—
587	C₄²×C₆₇	—	2	2	no	—
588	C₄²×C₆₇	—	2	2	no	—
589	C₄²×C₆₇	—	2	2	no	—
590	C₄²×C₆₇	—	2	2	no	—
591	C₄²×C₆₇	—	4	1	no	—
592	C₄²×C₆₇	—	4	1	no	—
593	C₄²×C₆₇	—	4	1	no	—
594	C₄²×C₆₇	—	4	1	no	—
595	C₄²×C₆₇	—	4	1	no	—
596	C₄²×C₆₇	—	4	1	no	—
597	C₂³×C₆₇	—	2	1	no	—
598	C₂³×C₆₇	—	2	1	no	—
599	C₂³×C₆₇	—	2	1	no	—
600	C₂³×C₆₇	—	2	1	no	—
601	C₂³×C₆₇	—	2	1	no	—
602	C₂³×C₆₇	—	2	1	no	—
603	C₂³×C₆₇	—	2	1	no	—
604	C₂³×C₆₇	—	2	1	no	—
605	C₂³×C₆₇	—	2	1	no	—
606	C₂³×C₆₇	—	2	1	no	—
607	C₂³×C₆₇	—	2	1	no	—
608	C₂³×C₆₇	—	2	1	no	—
609	C₂³×C₆₇	—	2	1	no	—
610	C₂³×C₆₇	—	2	1	no	—
611	C₂³×C₆₇	—	2	1	no	—
612	C₂³×C₆₇	—	2	1	no	—
613	C₂³×C₆₇	—	2	1	no	—
614	C₂³×C₆₇	—	2	1	no	—
615	C₂³×C₆₇	—	2	1	no	—
616	C₂³×C₆₇	—	2	1	no	—
617	C₂³×C₆₇	—	2	1	no	—
618	C₂³×C₆₇	—	2	1	no	—
619	C₂³×C₆₇	—	2	1	no	—
620	C₂³×C₆₇	—	2	1	no	—
621	C₂³×C₆₇	—	2	1	no	—
622	C₂³×C₆₇	—	2	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	—	4	4	no	—
634	C₂³×C₆₇	—	4	4	no	—
635	C₂³×C₆₇	—	4	4	no	—
636	C₂³×C₆₇	—	4	4	no	—
637	C₂³×C₆₇	—	4	4	no	—
638	C₂³×C₆₇	—	4	4	no	—
639	C₂³×C₆₇	—	4	4	no	—
640	C₂³×C₆₇	—	8	2	no	—
641	C₂³×C₆₇	—	8	2	no	—
642	C₂³×C₆₇	—	8	2	no	—
643	C₂³×C₆₇	—	8	2	no	—
644	C₂³×C₆₇	—	8	2	no	—
645	C₂³×C₆₇	—	8	2	no	—
646	C₂³×C₆₇	—	8	2	no	—
647	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
648	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
649	C₂³×C₆₇	C₂×#41	1	2	yes	—
650	C₂³×C₆₇	C₂×#41	1	2	yes	—
651	C₂³×C₆₇	C₂×#41	1	2	yes	—
652	C₂³×C₆₇	H(5,𝔽₂)	1	2	yes	—
653	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
654	Q₈×C₆₇	—	4	4	no	—
655	Q₈×C₆₇	—	4	4	no	—
656	D₄×C₆₇	—	2	8	no	—
657	D₄×C₆₇	—	2	8	no	—
658	D₄×C₆₇	—	4	4	no	—
659	D₄×C₆₇	—	4	4	no	—
660	D₄×C₆₇	—	4	4	no	—
661	D₄×C₆₇	—	4	4	no	—
662	D₄×C₆₇	—	4	4	no	—
663	D₄×C₆₇	—	8	2	no	—
664	D₄×C₆₇	—	8	2	no	—
665	C₂×C₄×C₆₇	—	2	8	no	—
666	C₂×C₄×C₆₇	—	2	1	no	—
667	C₂×C₄×C₆₇	—	2	1	no	—
668	C₂×C₄×C₆₇	—	2	1	no	—
669	C₂×C₄×C₆₇	—	2	1	no	—
670	C₂×C₄×C₆₇	—	2	1	no	—
671	C₂×C₄×C₆₇	—	2	1	no	—
672	C₂×C₄×C₆₇	—	2	1	no	—
673	C₂×C₄×C₆₇	—	2	1	no	—
674	C₂×C₄×C₆₇	—	2	1	no	—
675	C₂×C₄×C₆₇	—	2	1	no	—
676	C₂×C₄×C₆₇	—	2	1	no	—
677	C₂×C₄×C₆₇	—	2	1	no	—
678	C₂×C₄×C₆₇	—	2	1	no	—
679	C₂×C₄×C₆₇	—	2	1	no	—
680	C₂×C₄×C₆₇	—	2	1	no	—
681	C₂×C₄×C₆₇	—	2	1	no	—
682	C₂×C₄×C₆₇	—	2	1	no	—
683	C₂×C₄×C₆₇	—	2	1	no	—
684	C₂×C₄×C₆₇	—	2	1	no	—
685	C₂×C₄×C₆₇	—	2	1	no	—
686	C₂×C₄×C₆₇	—	2	1	no	—
687	C₂×C₄×C₆₇	—	2	1	no	—
688	C₂×C₄×C₆₇	—	2	1	no	—
689	C₂×C₄×C₆₇	—	2	1	no	—
690	C₂×C₄×C₆₇	—	2	1	no	—
691	C₂×C₄×C₆₇	—	2	1	no	—
692	C₂×C₄×C₆₇	—	2	1	no	—
693	C₂×C₄×C₆₇	—	2	1	no	—
694	C₂×C₄×C₆₇	—	2	1	no	—
695	C₂×C₄×C₆₇	—	2	1	no	—
696	C₂×C₄×C₆₇	—	2	1	no	—
697	C₂×C₄×C₆₇	—	2	1	no	—
698	C₂×C₄×C₆₇	—	2	1	no	—
699	C₂×C₄×C₆₇	—	2	1	no	—
700	C₂×C₄×C₆₇	—	2	1	no	—
701	C₂×C₄×C₆₇	—	2	1	no	—
702	C₂×C₄×C₆₇	—	2	1	no	—
703	C₂×C₄×C₆₇	—	2	1	no	—
704	C₂×C₄×C₆₇	—	2	1	no	—
705	C₂×C₄×C₆₇	—	2	1	no	—
706	C₂×C₄×C₆₇	—	2	1	no	—
707	C₂×C₄×C₆₇	—	2	1	no	—
708	C₂×C₄×C₆₇	—	2	1	no	—
709	C₂×C₄×C₆₇	—	2	1	no	—
710	C₂×C₄×C₆₇	—	2	1	no	—
711	C₂×C₄×C₆₇	—	2	1	no	—
712	C₂×C₄×C₆₇	—	2	1	no	—
713	C₂×C₄×C₆₇	—	2	1	no	—
714	C₂×C₄×C₆₇	—	2	1	no	—
715	C₂×C₄×C₆₇	—	2	1	no	—
716	C₂×C₄×C₆₇	—	2	1	no	—
717	C₂×C₄×C₆₇	—	2	1	no	—
718	C₂×C₄×C₆₇	—	2	1	no	—
719	C₂×C₄×C₆₇	—	2	1	no	—
720	C₂×C₄×C₆₇	—	2	1	no	—
721	C₂×C₄×C₆₇	—	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	—	4	4	no	—
734	C₂×C₄×C₆₇	—	4	4	no	—
735	C₂×C₄×C₆₇	—	4	4	no	—
736	C₂×C₄×C₆₇	—	4	4	no	—
737	C₂×C₄×C₆₇	—	4	4	no	—
738	C₂×C₄×C₆₇	—	4	4	no	—
739	C₂×C₄×C₆₇	—	4	4	no	—
740	C₂×C₄×C₆₇	—	4	4	no	—
741	C₂×C₄×C₆₇	—	8	2	no	—
742	C₂×C₄×C₆₇	—	8	2	no	—
743	C₂×C₄×C₆₇	—	8	2	no	—
744	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
745	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
746	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
747	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
748	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
749	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
750	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
751	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
752	C₂²×C₆₇	—	2	2	no	—
753	C₂²×C₆₇	—	2	2	no	—
754	C₂²×C₆₇	—	2	2	no	—
755	C₂²×C₆₇	—	2	2	no	—
756	C₂²×C₆₇	—	2	2	no	—
757	C₂²×C₆₇	—	2	2	no	—
758	C₂²×C₆₇	—	2	2	no	—
759	C₂²×C₆₇	—	2	2	no	—
760	C₂²×C₆₇	—	2	2	no	—
761	C₂²×C₆₇	—	2	2	no	—
762	C₂²×C₆₇	—	2	2	no	—
763	C₂²×C₆₇	—	2	2	no	—
764	C₂²×C₆₇	—	2	2	no	—
765	C₂²×C₆₇	—	2	2	no	—
766	C₂²×C₆₇	—	2	2	no	—
767	C₂²×C₆₇	—	4	1	no	—
768	C₂²×C₆₇	—	4	1	no	—
769	C₂²×C₆₇	—	4	1	no	—
770	C₂²×C₆₇	—	4	1	no	—
771	C₂²×C₆₇	—	4	1	no	—
772	C₂²×C₆₇	—	4	1	no	—
773	C₂²×C₆₇	—	4	1	no	—
774	C₂²×C₆₇	—	4	1	no	—
775	C₂²×C₆₇	—	4	1	no	—
776	C₂²×C₆₇	—	4	1	no	—
777	C₂²×C₆₇	—	4	1	no	—
778	C₂²×C₆₇	—	4	1	no	—
779	C₂²×C₆₇	—	4	1	no	—
780	C₂²×C₆₇	—	4	1	no	—
781	C₂²×C₆₇	—	4	1	no	—
782	C₂²×C₆₇	—	4	1	no	—
783	C₂²×C₆₇	—	4	1	no	—
784	C₂²×C₆₇	—	4	1	no	—
785	C₂²×C₆₇	—	4	1	no	—
786	C₂²×C₆₇	—	4	1	no	—
787	C₂²×C₆₇	—	4	1	no	—
788	C₂²×C₆₇	—	4	1	no	—
789	C₂²×C₆₇	—	4	1	no	—
790	C₂²×C₆₇	—	4	1	no	—
791	C₂²×C₆₇	—	4	1	no	—
792	C₂²×C₆₇	—	4	1	no	—
793	C₂²×C₆₇	—	8	8	no	—
794	C₂²×C₆₇	—	8	8	no	—
795	C₂²×C₆₇	#546	1	4	yes	—
796	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
797	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
798	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
799	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
800	C₂²×C₆₇	#585	1	1	yes	characteristic
801	C₂²×C₆₇	#585	1	1	yes	characteristic
802	C₂²×C₆₇	#585	1	1	yes	characteristic
803	C₄×C₆₇	—	2	2	no	—
804	C₄×C₆₇	—	2	2	no	—
805	C₄×C₆₇	—	2	2	no	—
806	C₄×C₆₇	—	2	2	no	—
807	C₄×C₆₇	—	2	2	no	—
808	C₄×C₆₇	—	2	2	no	—
809	C₄×C₆₇	—	2	2	no	—
810	C₄×C₆₇	—	2	2	no	—
811	C₄×C₆₇	—	4	1	no	—
812	C₄×C₆₇	—	4	1	no	—
813	C₄×C₆₇	—	4	1	no	—
814	C₄×C₆₇	—	4	1	no	—
815	C₄×C₆₇	—	4	1	no	—
816	C₄×C₆₇	—	4	1	no	—
817	C₄×C₆₇	—	4	1	no	—
818	C₄×C₆₇	—	4	1	no	—
819	C₄×C₆₇	—	4	1	no	—
820	C₄×C₆₇	—	4	1	no	—
821	C₄×C₆₇	—	4	1	no	—
822	C₄×C₆₇	—	4	1	no	—
823	C₄×C₆₇	—	4	1	no	—
824	C₄×C₆₇	—	4	1	no	—
825	C₄×C₆₇	—	4	1	no	—
826	C₄×C₆₇	—	4	1	no	—
827	C₄×C₆₇	—	4	1	no	—
828	#59804	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
829	C₂×C₆₇	—	2	4	no	—
830	C₂×C₆₇	—	4	2	no	—
831	C₂×C₆₇	—	4	2	no	—
832	C₂×C₆₇	—	4	2	no	—
833	C₂×C₆₇	—	8	1	no	—
834	C₂×C₆₇	—	8	1	no	—
835	C₂×C₆₇	C₂×#546	1	1	yes	characteristic
836	C₂×C₆₇	D₄×#41	1	1	yes	characteristic
837	C₂×C₆₇	#3475	1	1	yes	characteristic
838	C₂×C₆₇	#3500	1	1	yes	characteristic
839	C₂×C₆₇	#3513	1	1	yes	characteristic
840	C₂×C₆₇	#3521	1	1	yes	characteristic
841	C₂×C₆₇	#3533	1	1	yes	characteristic
842	C₂×#552	C₂×C₆₇	1	1	yes	characteristic, complemented
843	C₂×#546	C₂×C₆₇	1	1	yes	characteristic
844	#2711	C₂×C₆₇	1	1	yes	characteristic, complemented
845	#2700	C₂×C₆₇	1	1	yes	characteristic, complemented
846	#2690	C₂×C₆₇	1	1	yes	characteristic, complemented
847	#2685	C₂×C₆₇	1	1	yes	characteristic, complemented
848	#2559	C₂×C₆₇	1	1	yes	characteristic, complemented
849	#2558	C₂×C₆₇	1	1	yes	characteristic, complemented
850	#2556	C₂×C₆₇	1	1	yes	characteristic, complemented
851	#2521	C₂×C₆₇	1	1	yes	characteristic, complemented
852	#2490	C₂×C₆₇	1	1	yes	characteristic, complemented
853	#2482	C₂×C₆₇	1	1	yes	characteristic, complemented
854	#2480	C₂×C₆₇	1	1	yes	characteristic, complemented
855	#2476	C₂×C₆₇	1	1	yes	characteristic, complemented
856	#2472	C₂×C₆₇	1	1	yes	characteristic, complemented
857	#2472	C₂×C₆₇	1	1	yes	characteristic, complemented
858	#2460	C₂×C₆₇	1	1	yes	characteristic, complemented
859	#2458	C₂×C₆₇	1	1	yes	characteristic, complemented
860	#2450	C₂×C₆₇	1	1	yes	characteristic, complemented
861	#2444	C₂×C₆₇	1	1	yes	characteristic, complemented
862	#2425	C₂×C₆₇	1	1	yes	characteristic, complemented
863	#2411	C₂×C₆₇	1	1	yes	characteristic, complemented
864	#2406	C₂×C₆₇	1	1	yes	characteristic, complemented
865	#2405	C₂×C₆₇	1	1	yes	characteristic, complemented
866	#2367	C₂×C₆₇	1	1	yes	characteristic, complemented
867	#2359	C₂×C₆₇	1	1	yes	characteristic, complemented
868	#2342	C₂×C₆₇	1	1	yes	characteristic, complemented
869	D₄×C₂²⋊C₄	C₂×C₆₇	1	1	yes	characteristic, complemented
870	C₄×#123	C₂×C₆₇	1	1	yes	characteristic, complemented
871	#2297	C₂×C₆₇	1	1	yes	characteristic, complemented
872	C₂×#388	C₂×C₆₇	1	1	yes	characteristic, complemented
873	C₆₇	#59804	1	1	yes	characteristic, direct product factor, Sylow
874	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
875	C₂³×D₄	C₂²×C₆₇	1	1	yes	characteristic
876	#552	—	2	8	no	—
877	#546	—	2	8	no	—
878	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic, complemented
879	C₂×#126	C₂²×C₆₇	1	1	yes	characteristic, complemented
880	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic, complemented
881	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic, complemented
882	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic, complemented
883	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic
884	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic
885	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
886	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
887	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
888	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic
889	C₂×#123	C₂²×C₆₇	1	1	yes	characteristic, complemented
890	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
891	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
892	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
893	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
894	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
895	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
896	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
897	C₂×#120	C₂²×C₆₇	1	1	yes	characteristic
898	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
899	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
900	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
901	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
902	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
903	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic, complemented
904	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic, complemented
905	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic, complemented
906	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
907	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
908	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
909	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
910	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
911	C₂²×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
912	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
913	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
914	#400	C₂²×C₆₇	1	1	yes	characteristic, complemented
915	#399	C₂²×C₆₇	1	1	yes	characteristic
916	#399	C₂²×C₆₇	1	1	yes	characteristic, complemented
917	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
918	#398	C₂²×C₆₇	1	1	yes	characteristic, complemented
919	#397	C₂²×C₆₇	1	1	yes	characteristic
920	#397	C₂²×C₆₇	1	1	yes	characteristic
921	#397	C₂²×C₆₇	1	1	yes	characteristic, complemented
922	#397	C₂²×C₆₇	1	1	yes	characteristic, complemented
923	#397	C₂²×C₆₇	1	1	yes	characteristic, complemented
924	#397	C₂²×C₆₇	1	1	yes	characteristic, complemented
925	#396	C₂²×C₆₇	1	1	yes	characteristic
926	#396	C₂²×C₆₇	1	1	yes	characteristic, complemented
927	#396	C₂²×C₆₇	1	1	yes	characteristic, complemented
928	#396	C₂²×C₆₇	1	1	yes	characteristic, complemented
929	#395	C₂²×C₆₇	1	1	yes	characteristic, complemented
930	#395	C₂²×C₆₇	1	1	yes	characteristic, complemented
931	#394	C₂²×C₆₇	1	1	yes	characteristic
932	#394	C₂²×C₆₇	1	1	yes	characteristic
933	#394	C₂²×C₆₇	1	1	yes	characteristic
934	#394	C₂²×C₆₇	1	1	yes	characteristic
935	#394	C₂²×C₆₇	1	1	yes	characteristic
936	#394	C₂²×C₆₇	1	1	yes	characteristic
937	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
938	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
939	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
940	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
941	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
942	#394	C₂²×C₆₇	1	1	yes	characteristic, complemented
943	#393	C₂²×C₆₇	1	1	yes	characteristic, complemented
944	#393	C₂²×C₆₇	1	1	yes	characteristic, complemented
945	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
946	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
947	#391	C₂²×C₆₇	1	1	yes	characteristic, complemented
948	#390	C₂²×C₆₇	1	1	yes	characteristic
949	#390	C₂²×C₆₇	1	1	yes	characteristic
950	#390	C₂²×C₆₇	1	1	yes	characteristic
951	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
952	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
953	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
954	#390	C₂²×C₆₇	1	1	yes	characteristic, complemented
955	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
956	#389	C₂²×C₆₇	1	1	yes	characteristic, complemented
957	#388	C₂²×C₆₇	1	1	yes	characteristic
958	#388	C₂²×C₆₇	1	1	yes	characteristic
959	#388	C₂²×C₆₇	1	1	yes	characteristic
960	#388	C₂²×C₆₇	1	1	yes	characteristic
961	#388	C₂²×C₆₇	1	1	yes	characteristic
962	#388	C₂²×C₆₇	1	1	yes	characteristic
963	#388	C₂²×C₆₇	1	1	yes	characteristic
964	#388	C₂²×C₆₇	1	1	yes	characteristic
965	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
966	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
967	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
968	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
969	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
970	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
971	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
972	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
973	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
974	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
975	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
976	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
977	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
978	#388	C₂²×C₆₇	1	1	yes	characteristic, complemented
979	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
980	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
981	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
982	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
983	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
984	#387	C₂²×C₆₇	1	1	yes	characteristic, complemented
985	#386	C₂²×C₆₇	1	1	yes	characteristic
986	#386	C₂²×C₆₇	1	1	yes	characteristic
987	#386	C₂²×C₆₇	1	1	yes	characteristic
988	#386	C₂²×C₆₇	1	1	yes	characteristic
989	#386	C₂²×C₆₇	1	1	yes	characteristic
990	#386	C₂²×C₆₇	1	1	yes	characteristic
991	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
992	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
993	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
994	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
995	#386	C₂²×C₆₇	1	1	yes	characteristic, complemented
996	#385	C₂²×C₆₇	1	1	yes	characteristic
997	#385	C₂²×C₆₇	1	1	yes	characteristic
998	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
999	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1000	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1001	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1002	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1003	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1004	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1005	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1006	#385	C₂²×C₆₇	1	1	yes	characteristic, complemented
1007	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
1008	#381	C₂²×C₆₇	1	1	yes	characteristic, complemented
1009	#380	C₂²×C₆₇	1	1	yes	characteristic
1010	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
1011	#380	C₂²×C₆₇	1	1	yes	characteristic, complemented
1012	#379	C₂²×C₆₇	1	1	yes	characteristic
1013	#379	C₂²×C₆₇	1	1	yes	characteristic
1014	#379	C₂²×C₆₇	1	1	yes	characteristic
1015	#379	C₂²×C₆₇	1	1	yes	characteristic
1016	#379	C₂²×C₆₇	1	1	yes	characteristic
1017	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1018	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1019	C₄×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1020	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
1021	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1022	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1023	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1024	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1025	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1026	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1027	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1028	C₄×C₂²⋊C₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1029	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1030	C₂×#95	C₂²×C₆₇	1	1	yes	characteristic, complemented
1031	C₂⁵	C₂³×C₆₇	1	1	yes	characteristic
1032	C₂⁵	C₂³×C₆₇	1	1	yes	characteristic
1033	C₂×#41	—	2	4	no	—
1034	C₂×#41	—	2	4	no	—
1035	C₂×#41	—	4	2	no	—
1036	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1037	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1038	C₂²×D₄	—	2	4	no	—
1039	C₂²×D₄	—	2	4	no	—
1040	C₂²×D₄	—	4	2	no	—
1041	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1042	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1043	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1044	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1045	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1046	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1047	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1048	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1049	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1050	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1051	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1052	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1053	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1054	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1055	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1056	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1057	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1058	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1059	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1060	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1061	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1062	#126	—	2	4	no	—
1063	#126	—	2	4	no	—
1064	#125	—	2	4	no	—
1065	#125	—	2	4	no	—
1066	#125	—	2	4	no	—
1067	#124	—	2	4	no	—
1068	#124	—	2	4	no	—
1069	#123	—	2	4	no	—
1070	#123	—	2	4	no	—
1071	#123	—	2	4	no	—
1072	#123	—	4	2	no	—
1073	#123	D₄×C₆₇	1	8	yes	—
1074	C₂²⋊Q₈	—	2	4	no	—
1075	C₂²⋊Q₈	—	2	4	no	—
1076	C₂²⋊Q₈	—	2	4	no	—
1077	#121	—	2	4	no	—
1078	#121	—	2	4	no	—
1079	#121	—	2	4	no	—
1080	#120	—	2	4	no	—
1081	#120	—	2	4	no	—
1082	C₄×Q₈	—	2	4	no	—
1083	C₄×D₄	—	2	4	no	—
1084	C₄×D₄	—	2	4	no	—
1085	C₄×D₄	—	2	4	no	—
1086	C₄×D₄	—	4	2	no	—
1087	#117	—	2	4	no	—
1088	#117	—	2	4	no	—
1089	#117	—	2	4	no	—
1090	C₂×C₄⋊C₄	—	2	4	no	—
1091	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1098	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1105	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1106	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1107	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1108	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1109	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1111	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1112	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1115	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1116	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1117	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1118	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1119	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	—	2	4	no	—
1121	C₂×C₂²⋊C₄	—	2	4	no	—
1122	C₂×C₂²⋊C₄	—	2	4	no	—
1123	C₂×C₂²⋊C₄	—	2	4	no	—
1124	C₂×C₂²⋊C₄	—	4	2	no	—
1125	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1172	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1179	C₂×C₄²	—	4	2	no	—
1180	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1181	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1182	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1183	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1184	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1185	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1186	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1187	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1188	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1189	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1190	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1191	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1192	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1193	#95	C₂³×C₆₇	1	1	yes	characteristic
1194	#95	C₂³×C₆₇	1	1	yes	characteristic
1195	#95	C₂³×C₆₇	1	1	yes	characteristic
1196	#95	C₂³×C₆₇	1	1	yes	characteristic
1197	#95	C₂³×C₆₇	1	1	yes	characteristic
1198	#95	C₂³×C₆₇	1	1	yes	characteristic
1199	#95	C₂³×C₆₇	1	1	yes	characteristic
1200	#95	C₂³×C₆₇	1	1	yes	characteristic
1201	#95	C₂³×C₆₇	1	1	yes	characteristic
1202	#95	C₂³×C₆₇	1	1	yes	characteristic
1203	#95	C₂³×C₆₇	1	1	yes	characteristic
1204	#95	C₂³×C₆₇	1	1	yes	characteristic
1205	#95	C₂³×C₆₇	1	1	yes	characteristic
1206	#95	C₂³×C₆₇	1	1	yes	characteristic
1207	#95	C₂³×C₆₇	1	1	yes	characteristic
1208	#95	C₂³×C₆₇	1	1	yes	characteristic
1209	#95	C₂³×C₆₇	1	1	yes	characteristic
1210	#95	C₂³×C₆₇	1	1	yes	characteristic
1211	#95	C₂³×C₆₇	1	1	yes	characteristic
1212	#95	C₂³×C₆₇	1	1	yes	characteristic
1213	#95	C₂³×C₆₇	1	1	yes	characteristic
1214	#95	C₂³×C₆₇	1	1	yes	characteristic
1215	#95	C₂³×C₆₇	1	1	yes	characteristic
1216	#95	C₂³×C₆₇	1	1	yes	characteristic
1217	#95	C₂³×C₆₇	1	1	yes	characteristic
1218	#95	C₂³×C₆₇	1	1	yes	characteristic
1219	#95	C₂³×C₆₇	1	1	yes	characteristic
1220	#95	C₂³×C₆₇	1	1	yes	characteristic
1221	#95	C₂³×C₆₇	1	1	yes	characteristic
1222	#95	C₂³×C₆₇	1	1	yes	characteristic
1223	#95	C₂³×C₆₇	1	1	yes	characteristic
1224	#95	C₂³×C₆₇	1	1	yes	characteristic
1225	#95	C₂³×C₆₇	1	1	yes	characteristic
1226	#95	C₂³×C₆₇	1	1	yes	characteristic
1227	C₂⁴	—	2	2	no	—
1228	C₂⁴	—	2	2	no	—
1229	C₂⁴	—	2	2	no	—
1230	C₂⁴	—	2	2	no	—
1231	C₂⁴	—	2	2	no	—
1232	C₂⁴	—	2	2	no	—
1233	C₂⁴	—	2	2	no	—
1234	C₂⁴	—	4	1	no	—
1235	C₂⁴	—	4	1	no	—
1236	C₂⁴	—	4	1	no	—
1237	C₂⁴	—	4	1	no	—
1238	C₂⁴	—	4	1	no	—
1239	C₂⁴	—	4	1	no	—
1240	C₂⁴	—	4	1	no	—
1241	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1242	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1243	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1244	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1245	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1246	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1247	#41	—	4	16	no	—
1248	C₂×Q₈	—	2	2	no	—
1249	C₂×Q₈	—	2	2	no	—
1250	C₂×Q₈	—	2	2	no	—
1251	C₂×Q₈	—	2	2	no	—
1252	C₂×Q₈	—	4	1	no	—
1253	C₂×Q₈	—	4	1	no	—
1254	C₂×D₄	—	2	2	no	—
1255	C₂×D₄	—	2	2	no	—
1256	C₂×D₄	—	2	2	no	—
1257	C₂×D₄	—	2	2	no	—
1258	C₂×D₄	—	2	2	no	—
1259	C₂×D₄	—	2	2	no	—
1260	C₂×D₄	—	2	2	no	—
1261	C₂×D₄	—	2	2	no	—
1262	C₂×D₄	—	2	2	no	—
1263	C₂×D₄	—	2	2	no	—
1264	C₂×D₄	—	2	2	no	—
1265	C₂×D₄	—	2	2	no	—
1266	C₂×D₄	—	2	2	no	—
1267	C₂×D₄	—	2	2	no	—
1268	C₂×D₄	—	2	2	no	—
1269	C₂×D₄	—	2	2	no	—
1270	C₂×D₄	—	2	2	no	—
1271	C₂×D₄	—	4	1	no	—
1272	C₂×D₄	—	4	1	no	—
1273	C₂×D₄	—	4	1	no	—
1274	C₂×D₄	—	4	1	no	—
1275	C₂×D₄	—	4	1	no	—
1276	C₂×D₄	—	4	1	no	—
1277	C₂×D₄	—	4	1	no	—
1278	C₂×D₄	—	4	1	no	—
1279	C₂×D₄	—	4	16	no	—
1280	C₂×D₄	C₂×D₄×C₆₇	1	4	yes	—
1281	C₂×D₄	#41×C₆₇	1	4	yes	—
1282	C₂²×C₄	—	2	2	no	—
1283	C₂²×C₄	—	2	2	no	—
1284	C₂²×C₄	—	2	2	no	—
1285	C₂²×C₄	—	2	2	no	—
1286	C₂²×C₄	—	2	2	no	—
1287	C₂²×C₄	—	2	2	no	—
1288	C₂²×C₄	—	2	2	no	—
1289	C₂²×C₄	—	2	2	no	—
1290	C₂²×C₄	—	2	2	no	—
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	2	2	no	—
1293	C₂²×C₄	—	2	2	no	—
1294	C₂²×C₄	—	2	2	no	—
1295	C₂²×C₄	—	2	2	no	—
1296	C₂²×C₄	—	2	2	no	—
1297	C₂²×C₄	—	2	2	no	—
1298	C₂²×C₄	—	2	2	no	—
1299	C₂²×C₄	—	2	2	no	—
1300	C₂²×C₄	—	2	2	no	—
1301	C₂²×C₄	—	2	2	no	—
1302	C₂²×C₄	—	2	2	no	—
1303	C₂²×C₄	—	4	1	no	—
1304	C₂²×C₄	—	4	1	no	—
1305	C₂²×C₄	—	4	1	no	—
1306	C₂²×C₄	—	4	1	no	—
1307	C₂²×C₄	—	4	1	no	—
1308	C₂²×C₄	—	4	1	no	—
1309	C₂²×C₄	—	4	1	no	—
1310	C₂²×C₄	—	4	1	no	—
1311	C₂²×C₄	—	4	1	no	—
1312	C₂²×C₄	—	4	1	no	—
1313	C₂²×C₄	—	4	1	no	—
1314	C₂²×C₄	—	4	1	no	—
1315	C₂²×C₄	—	4	1	no	—
1316	C₂²×C₄	—	4	1	no	—
1317	C₂²×C₄	C₂×D₄×C₆₇	1	4	yes	—
1318	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1320	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1322	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1323	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1324	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1325	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1326	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1327	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1330	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1332	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1333	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1334	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1335	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1337	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1338	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1339	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1340	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1341	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1342	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1343	C₄⋊C₄	—	2	2	no	—
1344	C₄⋊C₄	—	2	2	no	—
1345	C₄⋊C₄	—	2	2	no	—
1346	C₄⋊C₄	—	2	2	no	—
1347	C₄⋊C₄	—	2	2	no	—
1348	C₄⋊C₄	—	2	2	no	—
1349	C₄⋊C₄	—	2	2	no	—
1350	C₄⋊C₄	—	2	2	no	—
1351	C₄⋊C₄	—	2	2	no	—
1352	C₄⋊C₄	—	2	2	no	—
1353	C₄⋊C₄	—	2	2	no	—
1354	C₄⋊C₄	—	2	2	no	—
1355	C₄⋊C₄	—	2	2	no	—
1356	C₄⋊C₄	—	2	2	no	—
1357	C₄⋊C₄	—	2	2	no	—
1358	C₄⋊C₄	—	2	2	no	—
1359	C₄⋊C₄	—	2	2	no	—
1360	C₄⋊C₄	—	2	2	no	—
1361	C₄⋊C₄	—	4	1	no	—
1362	C₄⋊C₄	—	4	1	no	—
1363	C₄⋊C₄	—	4	1	no	—
1364	C₄⋊C₄	—	4	1	no	—
1365	C₄⋊C₄	—	4	1	no	—
1366	C₄⋊C₄	—	4	1	no	—
1367	C₄⋊C₄	—	4	1	no	—
1368	C₄⋊C₄	—	4	1	no	—
1369	C₄⋊C₄	—	4	1	no	—
1370	C₄⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1371	C₄⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1372	C₂²⋊C₄	—	2	2	no	—
1373	C₂²⋊C₄	—	2	2	no	—
1374	C₂²⋊C₄	—	2	2	no	—
1375	C₂²⋊C₄	—	2	2	no	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	2	no	—
1378	C₂²⋊C₄	—	2	2	no	—
1379	C₂²⋊C₄	—	2	2	no	—
1380	C₂²⋊C₄	—	2	2	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	2	2	no	—
1383	C₂²⋊C₄	—	2	2	no	—
1384	C₂²⋊C₄	—	2	2	no	—
1385	C₂²⋊C₄	—	2	2	no	—
1386	C₂²⋊C₄	—	2	2	no	—
1387	C₂²⋊C₄	—	2	2	no	—
1388	C₂²⋊C₄	—	2	2	no	—
1389	C₂²⋊C₄	—	2	2	no	—
1390	C₂²⋊C₄	—	2	2	no	—
1391	C₂²⋊C₄	—	2	2	no	—
1392	C₂²⋊C₄	—	2	2	no	—
1393	C₂²⋊C₄	—	2	2	no	—
1394	C₂²⋊C₄	—	2	2	no	—
1395	C₂²⋊C₄	—	2	2	no	—
1396	C₂²⋊C₄	—	2	2	no	—
1397	C₂²⋊C₄	—	2	2	no	—
1398	C₂²⋊C₄	—	2	2	no	—
1399	C₂²⋊C₄	—	4	1	no	—
1400	C₂²⋊C₄	—	4	1	no	—
1401	C₂²⋊C₄	—	4	1	no	—
1402	C₂²⋊C₄	—	4	1	no	—
1403	C₂²⋊C₄	—	4	1	no	—
1404	C₂²⋊C₄	—	4	1	no	—
1405	C₂²⋊C₄	—	4	1	no	—
1406	C₂²⋊C₄	—	4	1	no	—
1407	C₂²⋊C₄	—	4	1	no	—
1408	C₂²⋊C₄	—	4	1	no	—
1409	C₂²⋊C₄	—	4	1	no	—
1410	C₂²⋊C₄	—	4	1	no	—
1411	C₂²⋊C₄	—	4	1	no	—
1412	C₂²⋊C₄	—	4	1	no	—
1413	C₂²⋊C₄	—	4	1	no	—
1414	C₂²⋊C₄	—	4	1	no	—
1415	C₂²⋊C₄	—	4	1	no	—
1416	C₂²⋊C₄	—	4	1	no	—
1417	C₂²⋊C₄	—	4	1	no	—
1418	C₂²⋊C₄	—	4	1	no	—
1419	C₂²⋊C₄	—	4	1	no	—
1420	C₂²⋊C₄	—	4	1	no	—
1421	C₂²⋊C₄	—	4	1	no	—
1422	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1423	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1424	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
1425	C₂²⋊C₄	#41×C₆₇	1	4	yes	complemented
1426	C₄²	—	2	2	no	—
1427	C₄²	—	2	2	no	—
1428	C₄²	—	2	2	no	—
1429	C₄²	—	2	2	no	—
1430	C₄²	—	2	2	no	—
1431	C₄²	—	2	2	no	—
1432	C₄²	—	2	2	no	—
1433	C₄²	—	4	1	no	—
1434	C₄²	—	4	1	no	—
1435	C₄²	—	4	1	no	—
1436	C₄²	—	4	1	no	—
1437	C₄²	—	4	1	no	—
1438	C₄²	—	4	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	2	1	no	—
1467	C₂³	—	2	1	no	—
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	4	4	no	—
1476	C₂³	—	4	4	no	—
1477	C₂³	—	4	4	no	—
1478	C₂³	—	4	4	no	—
1479	C₂³	—	4	4	no	—
1480	C₂³	—	4	4	no	—
1481	C₂³	—	4	4	no	—
1482	C₂³	—	8	2	no	—
1483	C₂³	—	8	2	no	—
1484	C₂³	—	8	2	no	—
1485	C₂³	—	8	2	no	—
1486	C₂³	—	8	2	no	—
1487	C₂³	—	8	2	no	—
1488	C₂³	—	8	2	no	—
1489	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
1490	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
1491	C₂³	C₂×#41×C₆₇	1	2	yes	—
1492	C₂³	C₂×#41×C₆₇	1	2	yes	—
1493	C₂³	C₂×#41×C₆₇	1	2	yes	—
1494	C₂³	H(5,𝔽₂)×C₆₇	1	2	yes	—
1495	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1496	Q₈	—	4	4	no	—
1497	Q₈	—	4	4	no	—
1498	D₄	—	2	8	no	—
1499	D₄	—	2	8	no	—
1500	D₄	—	4	4	no	—
1501	D₄	—	4	4	no	—
1502	D₄	—	4	4	no	—
1503	D₄	—	4	4	no	—
1504	D₄	—	4	4	no	—
1505	D₄	—	8	2	no	—
1506	D₄	—	8	2	no	—
1507	C₂×C₄	—	2	8	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	4	4	no	—
1576	C₂×C₄	—	4	4	no	—
1577	C₂×C₄	—	4	4	no	—
1578	C₂×C₄	—	4	4	no	—
1579	C₂×C₄	—	4	4	no	—
1580	C₂×C₄	—	4	4	no	—
1581	C₂×C₄	—	4	4	no	—
1582	C₂×C₄	—	4	4	no	—
1583	C₂×C₄	—	8	2	no	—
1584	C₂×C₄	—	8	2	no	—
1585	C₂×C₄	—	8	2	no	—
1586	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1587	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1588	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1589	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1590	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1591	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1592	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1593	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1594	C₂²	—	2	2	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	2	no	—
1597	C₂²	—	2	2	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	2	no	—
1601	C₂²	—	2	2	no	—
1602	C₂²	—	2	2	no	—
1603	C₂²	—	2	2	no	—
1604	C₂²	—	2	2	no	—
1605	C₂²	—	2	2	no	—
1606	C₂²	—	2	2	no	—
1607	C₂²	—	2	2	no	—
1608	C₂²	—	2	2	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	8	8	no	—
1636	C₂²	—	8	8	no	—
1637	C₂²	#546×C₆₇	1	4	yes	—
1638	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1639	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1640	C₂²	C₂²×#41×C₆₇	1	1	yes	characteristic
1641	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1642	C₂²	#585×C₆₇	1	1	yes	characteristic
1643	C₂²	#585×C₆₇	1	1	yes	characteristic
1644	C₂²	#585×C₆₇	1	1	yes	characteristic
1645	C₄	—	2	2	no	—
1646	C₄	—	2	2	no	—
1647	C₄	—	2	2	no	—
1648	C₄	—	2	2	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	2	no	—
1651	C₄	—	2	2	no	—
1652	C₄	—	2	2	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₂	—	2	4	no	—
1671	C₂	—	4	2	no	—
1672	C₂	—	4	2	no	—
1673	C₂	—	4	2	no	—
1674	C₂	—	8	1	no	—
1675	C₂	—	8	1	no	—
1676	C₂	C₂×#546×C₆₇	1	1	yes	characteristic
1677	C₂	D₄×#41×C₆₇	1	1	yes	characteristic
1678	C₂	C₆₇×#3475	1	1	yes	characteristic
1679	C₂	C₆₇×#3500	1	1	yes	characteristic
1680	C₂	C₆₇×#3513	1	1	yes	characteristic
1681	C₂	C₆₇×#3521	1	1	yes	characteristic
1682	C₂	C₆₇×#3533	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₆₇
prime radical	C₂×#546×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×#2711	C₂	semidirect
4. C₆₇×#2700	C₂	semidirect
5. C₆₇×#2690	C₂	semidirect
6. C₆₇×#2685	C₂	semidirect
7. C₆₇×#2559	C₂	semidirect
8. C₆₇×#2558	C₂	semidirect
9. C₆₇×#2556	C₂	semidirect
10. C₆₇×#2521	C₂	semidirect
11. C₆₇×#2490	C₂	semidirect
12. C₆₇×#2482	C₂	semidirect
13. C₆₇×#2480	C₂	semidirect
14. C₆₇×#2476	C₂	semidirect
15. C₆₇×#2472	C₂	semidirect
16. C₆₇×#2472	C₂	semidirect
17. C₆₇×#2460	C₂	semidirect
18. C₆₇×#2458	C₂	semidirect
19. C₆₇×#2450	C₂	semidirect
20. C₆₇×#2444	C₂	semidirect
21. C₆₇×#2425	C₂	semidirect
22. C₆₇×#2411	C₂	semidirect
23. C₆₇×#2406	C₂	semidirect
24. C₆₇×#2405	C₂	semidirect
25. C₆₇×#2367	C₂	semidirect
26. C₆₇×#2359	C₂	semidirect
27. C₆₇×#2342	C₂	semidirect
28. D₄×C₂²⋊C₄×C₆₇	C₂	semidirect
29. C₄×#123×C₆₇	C₂	semidirect
30. C₆₇×#2297	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
39. C₂×#125×C₆₇	C₂²	semidirect
40. C₂×#125×C₆₇	C₂²	semidirect
47. C₂×#123×C₆₇	C₂²	semidirect
49. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
50. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
56. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
61. C₂×#117×C₆₇	C₂²	semidirect
62. C₂×#117×C₆₇	C₂²	semidirect
63. C₂×#117×C₆₇	C₂²	semidirect
64. C₂²×C₄⋊C₄×C₆₇	C₂²	semidirect
70. C₂²×C₄²×C₆₇	C₂²	semidirect
71. #400×C₆₇	C₂²	semidirect
72. #400×C₆₇	C₂²	semidirect
74. #399×C₆₇	C₂²	semidirect
75. #398×C₆₇	C₂²	semidirect
76. #398×C₆₇	C₂²	semidirect
79. #397×C₆₇	C₂²	semidirect
80. #397×C₆₇	C₂²	semidirect
81. #397×C₆₇	C₂²	semidirect
82. #397×C₆₇	C₂²	semidirect
84. #396×C₆₇	C₂²	semidirect
85. #396×C₆₇	C₂²	semidirect
86. #396×C₆₇	C₂²	semidirect
87. #395×C₆₇	C₂²	semidirect
88. #395×C₆₇	C₂²	semidirect
95. #394×C₆₇	C₂²	semidirect
96. #394×C₆₇	C₂²	semidirect
97. #394×C₆₇	C₂²	semidirect
98. #394×C₆₇	C₂²	semidirect
99. #394×C₆₇	C₂²	semidirect
100. #394×C₆₇	C₂²	semidirect
101. #393×C₆₇	C₂²	semidirect
102. #393×C₆₇	C₂²	semidirect
103. #391×C₆₇	C₂²	semidirect
104. #391×C₆₇	C₂²	semidirect
105. #391×C₆₇	C₂²	semidirect
109. #390×C₆₇	C₂²	semidirect
110. #390×C₆₇	C₂²	semidirect
111. #390×C₆₇	C₂²	semidirect
112. #390×C₆₇	C₂²	semidirect
113. #389×C₆₇	C₂²	semidirect
114. #389×C₆₇	C₂²	semidirect
123. #388×C₆₇	C₂²	semidirect
124. #388×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
141. #387×C₆₇	C₂²	semidirect
142. #387×C₆₇	C₂²	semidirect
149. #386×C₆₇	C₂²	semidirect
150. #386×C₆₇	C₂²	semidirect
151. #386×C₆₇	C₂²	semidirect
152. #386×C₆₇	C₂²	semidirect
153. #386×C₆₇	C₂²	semidirect
156. #385×C₆₇	C₂²	semidirect
157. #385×C₆₇	C₂²	semidirect
158. #385×C₆₇	C₂²	semidirect
159. #385×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. #381×C₆₇	C₂²	semidirect
166. #381×C₆₇	C₂²	semidirect
168. #380×C₆₇	C₂²	semidirect
169. #380×C₆₇	C₂²	semidirect
175. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
176. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
177. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
179. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₆₇	C₂²	semidirect
187. C₂×#95×C₆₇	C₂²	semidirect
188. C₂×#95×C₆₇	C₂²	semidirect
583. C₂²⋊C₄×C₆₇	#41	semidirect
828. #59804	C₆₇	direct (N × H)
842. C₂×#552	C₂×C₆₇	semidirect
844. #2711	C₂×C₆₇	semidirect
845. #2700	C₂×C₆₇	semidirect
846. #2690	C₂×C₆₇	semidirect
847. #2685	C₂×C₆₇	semidirect
848. #2559	C₂×C₆₇	semidirect
849. #2558	C₂×C₆₇	semidirect
850. #2556	C₂×C₆₇	semidirect
851. #2521	C₂×C₆₇	semidirect
852. #2490	C₂×C₆₇	semidirect
853. #2482	C₂×C₆₇	semidirect
854. #2480	C₂×C₆₇	semidirect
855. #2476	C₂×C₆₇	semidirect
856. #2472	C₂×C₆₇	semidirect
857. #2472	C₂×C₆₇	semidirect
858. #2460	C₂×C₆₇	semidirect
859. #2458	C₂×C₆₇	semidirect
860. #2450	C₂×C₆₇	semidirect
861. #2444	C₂×C₆₇	semidirect
862. #2425	C₂×C₆₇	semidirect
863. #2411	C₂×C₆₇	semidirect
864. #2406	C₂×C₆₇	semidirect
865. #2405	C₂×C₆₇	semidirect
866. #2367	C₂×C₆₇	semidirect
867. #2359	C₂×C₆₇	semidirect
868. #2342	C₂×C₆₇	semidirect
869. D₄×C₂²⋊C₄	C₂×C₆₇	semidirect
870. C₄×#123	C₂×C₆₇	semidirect
871. #2297	C₂×C₆₇	semidirect
872. C₂×#388	C₂×C₆₇	semidirect
873. C₆₇	#59804	direct (N × H)
878. C₂×#126	C₂²×C₆₇	semidirect
879. C₂×#126	C₂²×C₆₇	semidirect
880. C₂×#125	C₂²×C₆₇	semidirect
881. C₂×#125	C₂²×C₆₇	semidirect
882. C₂×#125	C₂²×C₆₇	semidirect
889. C₂×#123	C₂²×C₆₇	semidirect
891. C₂×C₂²⋊Q₈	C₂²×C₆₇	semidirect
892. C₂×C₂²⋊Q₈	C₂²×C₆₇	semidirect
898. C₂×C₄×Q₈	C₂²×C₆₇	semidirect
903. C₂×#117	C₂²×C₆₇	semidirect
904. C₂×#117	C₂²×C₆₇	semidirect
905. C₂×#117	C₂²×C₆₇	semidirect
906. C₂²×C₄⋊C₄	C₂²×C₆₇	semidirect
912. C₂²×C₄²	C₂²×C₆₇	semidirect
913. #400	C₂²×C₆₇	semidirect
914. #400	C₂²×C₆₇	semidirect
916. #399	C₂²×C₆₇	semidirect
917. #398	C₂²×C₆₇	semidirect
918. #398	C₂²×C₆₇	semidirect
921. #397	C₂²×C₆₇	semidirect
922. #397	C₂²×C₆₇	semidirect
923. #397	C₂²×C₆₇	semidirect
924. #397	C₂²×C₆₇	semidirect
926. #396	C₂²×C₆₇	semidirect
927. #396	C₂²×C₆₇	semidirect
928. #396	C₂²×C₆₇	semidirect
929. #395	C₂²×C₆₇	semidirect
930. #395	C₂²×C₆₇	semidirect
937. #394	C₂²×C₆₇	semidirect
938. #394	C₂²×C₆₇	semidirect
939. #394	C₂²×C₆₇	semidirect
940. #394	C₂²×C₆₇	semidirect
941. #394	C₂²×C₆₇	semidirect
942. #394	C₂²×C₆₇	semidirect
943. #393	C₂²×C₆₇	semidirect
944. #393	C₂²×C₆₇	semidirect
945. #391	C₂²×C₆₇	semidirect
946. #391	C₂²×C₆₇	semidirect
947. #391	C₂²×C₆₇	semidirect
951. #390	C₂²×C₆₇	semidirect
952. #390	C₂²×C₆₇	semidirect
953. #390	C₂²×C₆₇	semidirect
954. #390	C₂²×C₆₇	semidirect
955. #389	C₂²×C₆₇	semidirect
956. #389	C₂²×C₆₇	semidirect
965. #388	C₂²×C₆₇	semidirect
966. #388	C₂²×C₆₇	semidirect
967. #388	C₂²×C₆₇	semidirect
968. #388	C₂²×C₆₇	semidirect
969. #388	C₂²×C₆₇	semidirect
970. #388	C₂²×C₆₇	semidirect
971. #388	C₂²×C₆₇	semidirect
972. #388	C₂²×C₆₇	semidirect
973. #388	C₂²×C₆₇	semidirect
974. #388	C₂²×C₆₇	semidirect
975. #388	C₂²×C₆₇	semidirect
976. #388	C₂²×C₆₇	semidirect
977. #388	C₂²×C₆₇	semidirect
978. #388	C₂²×C₆₇	semidirect
979. #387	C₂²×C₆₇	semidirect
980. #387	C₂²×C₆₇	semidirect
981. #387	C₂²×C₆₇	semidirect
982. #387	C₂²×C₆₇	semidirect
983. #387	C₂²×C₆₇	semidirect
984. #387	C₂²×C₆₇	semidirect
991. #386	C₂²×C₆₇	semidirect
992. #386	C₂²×C₆₇	semidirect
993. #386	C₂²×C₆₇	semidirect
994. #386	C₂²×C₆₇	semidirect
995. #386	C₂²×C₆₇	semidirect
998. #385	C₂²×C₆₇	semidirect
999. #385	C₂²×C₆₇	semidirect
1000. #385	C₂²×C₆₇	semidirect
1001. #385	C₂²×C₆₇	semidirect
1002. #385	C₂²×C₆₇	semidirect
1003. #385	C₂²×C₆₇	semidirect
1004. #385	C₂²×C₆₇	semidirect
1005. #385	C₂²×C₆₇	semidirect
1006. #385	C₂²×C₆₇	semidirect
1007. #381	C₂²×C₆₇	semidirect
1008. #381	C₂²×C₆₇	semidirect
1010. #380	C₂²×C₆₇	semidirect
1011. #380	C₂²×C₆₇	semidirect
1017. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1018. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1019. C₄×C₄⋊C₄	C₂²×C₆₇	semidirect
1021. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1022. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1023. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1024. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1025. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1026. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1027. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1028. C₄×C₂²⋊C₄	C₂²×C₆₇	semidirect
1029. C₂×#95	C₂²×C₆₇	semidirect
1030. C₂×#95	C₂²×C₆₇	semidirect
1425. 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×#552×C₆₇	2
C₂×#546×C₆₇	2
C₆₇×#2711	2
C₆₇×#2700	2
C₆₇×#2690	2
C₆₇×#2685	2
C₆₇×#2559	2
C₆₇×#2558	2
C₆₇×#2556	2
C₆₇×#2521	2
C₆₇×#2490	2
C₆₇×#2482	2
C₆₇×#2480	2
C₆₇×#2476	2
C₆₇×#2472	2
C₆₇×#2460	2
C₆₇×#2458	2
C₆₇×#2450	2
C₆₇×#2444	2
C₆₇×#2425	2
C₆₇×#2411	2
C₆₇×#2406	2
C₆₇×#2405	2
C₆₇×#2367	2
C₆₇×#2359	2
C₆₇×#2342	2
D₄×C₂²⋊C₄×C₆₇	2
C₄×#123×C₆₇	2
C₆₇×#2297	2
C₂×#388×C₆₇	2
#59804	67

Subgroups — C67×#59804 #30739055

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#59804 #30739055