Subgroups — C₆₇×#61639 #30740890

Order 17152.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₇×#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#3319	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₇×#3310	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#3309	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#3305	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₇×#3300	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#3297	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₇×#3294	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#3287	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#3282	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#3280	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×D₈×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#3268	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#3268	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#3220	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#3203	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#3188	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₇×#3186	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₇×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₇×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#3012	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₇×#3008	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₇×#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#449×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#2977	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×H(5,𝔽₂)×C₆₇	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
34	C₂×AGL(1,ℤ/8)×C₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂×AGL(1,ℤ/8)×C₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂×#135×C₆₇	C₂²	1	1	yes	characteristic, complemented
37	C₂×#135×C₆₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×#135×C₆₇	C₂²	1	1	yes	characteristic, complemented
39	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
42	#562×C₆₇	—	2	1	no	—
43	#560×C₆₇	—	2	1	no	—
44	#555×C₆₇	C₂²	1	1	yes	characteristic, complemented
45	#553×C₆₇	C₂²	1	1	yes	characteristic, complemented
46	#552×C₆₇	C₂²	1	1	yes	characteristic, complemented
47	#551×C₆₇	—	2	1	no	—
48	#550×C₆₇	C₂²	1	1	yes	characteristic, complemented
49	#550×C₆₇	C₂²	1	1	yes	characteristic, complemented
50	#550×C₆₇	C₂²	1	1	yes	characteristic, complemented
51	#548×C₆₇	C₂²	1	1	yes	characteristic
52	#548×C₆₇	C₂²	1	1	yes	characteristic, complemented
53	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
54	#546×C₆₇	—	2	1	no	—
55	#546×C₆₇	—	2	1	no	—
56	#546×C₆₇	—	2	1	no	—
57	#546×C₆₇	C₂²	1	1	yes	characteristic, complemented
58	#546×C₆₇	C₂²	1	1	yes	characteristic, complemented
59	#546×C₆₇	C₂²	1	1	yes	characteristic, complemented
60	#546×C₆₇	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₆₇	—	2	1	no	—
62	D₄²×C₆₇	—	2	1	no	—
63	D₄²×C₆₇	C₂²	1	1	yes	characteristic
64	D₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
65	D₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
66	#542×C₆₇	C₂²	1	1	yes	characteristic, complemented
67	#540×C₆₇	—	2	1	no	—
68	#540×C₆₇	C₂²	1	1	yes	characteristic, complemented
69	#538×C₆₇	—	2	1	no	—
70	#537×C₆₇	—	2	1	no	—
71	#537×C₆₇	C₂²	1	1	yes	characteristic, complemented
72	#537×C₆₇	C₂²	1	1	yes	characteristic, complemented
73	#535×C₆₇	—	2	1	no	—
74	#535×C₆₇	—	2	1	no	—
75	#535×C₆₇	C₂²	1	1	yes	characteristic, complemented
76	#535×C₆₇	C₂²	1	1	yes	characteristic, complemented
77	#534×C₆₇	—	2	1	no	—
78	#525×C₆₇	—	2	1	no	—
79	#525×C₆₇	C₂²	1	1	yes	characteristic
80	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
81	C₂×#121×C₆₇	—	2	1	no	—
82	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
83	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
84	#520×C₆₇	C₂²	1	1	yes	characteristic, complemented
85	#496×C₆₇	C₂²	1	1	yes	characteristic, complemented
86	#496×C₆₇	C₂²	1	1	yes	characteristic, complemented
87	#495×C₆₇	C₂²	1	1	yes	characteristic, complemented
88	#493×C₆₇	C₂²	1	1	yes	characteristic, complemented
89	#490×C₆₇	C₂²	1	1	yes	characteristic, complemented
90	#489×C₆₇	C₂²	1	1	yes	characteristic, complemented
91	#488×C₆₇	C₂²	1	1	yes	characteristic, complemented
92	#486×C₆₇	C₂²	1	1	yes	characteristic, complemented
93	#485×C₆₇	C₂²	1	1	yes	characteristic, complemented
94	#484×C₆₇	C₂²	1	1	yes	characteristic, complemented
95	#484×C₆₇	C₂²	1	1	yes	characteristic, complemented
96	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
97	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
98	#482×C₆₇	C₂²	1	1	yes	characteristic, complemented
99	#481×C₆₇	C₂²	1	1	yes	characteristic, complemented
100	#480×C₆₇	C₂²	1	1	yes	characteristic, complemented
101	#480×C₆₇	C₂²	1	1	yes	characteristic, complemented
102	#480×C₆₇	C₂²	1	1	yes	characteristic, complemented
103	#480×C₆₇	C₂²	1	1	yes	characteristic, complemented
104	#480×C₆₇	C₂²	1	1	yes	characteristic, complemented
105	#479×C₆₇	C₂²	1	1	yes	characteristic, complemented
106	#478×C₆₇	C₂²	1	1	yes	characteristic, complemented
107	#477×C₆₇	C₂²	1	1	yes	characteristic, complemented
108	#474×C₆₇	C₂²	1	1	yes	characteristic, complemented
109	#469×C₆₇	C₂²	1	1	yes	characteristic, complemented
110	#468×C₆₇	C₂²	1	1	yes	characteristic, complemented
111	#468×C₆₇	C₂²	1	1	yes	characteristic, complemented
112	#468×C₆₇	C₂²	1	1	yes	characteristic, complemented
113	#467×C₆₇	C₂²	1	1	yes	characteristic, complemented
114	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
115	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
116	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
117	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
118	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
119	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
120	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
121	#466×C₆₇	C₂²	1	1	yes	characteristic, complemented
122	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
123	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
124	#465×C₆₇	C₂²	1	1	yes	characteristic, complemented
125	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
126	#464×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
128	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
129	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
130	#463×C₆₇	C₂²	1	1	yes	characteristic, complemented
131	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
132	#460×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#459×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
138	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
140	#452×C₆₇	C₂²	1	1	yes	characteristic, complemented
141	#451×C₆₇	C₂²	1	1	yes	characteristic, complemented
142	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
144	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	#450×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	#449×C₆₇	C₂²	1	1	yes	characteristic
147	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
148	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
149	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
150	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
152	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
153	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
154	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
155	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
156	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
157	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
158	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
159	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
160	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
161	#449×C₆₇	C₂²	1	1	yes	characteristic, complemented
162	#448×C₆₇	C₂²	1	1	yes	characteristic, complemented
163	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
164	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
165	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
166	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
168	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
170	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
171	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	#447×C₆₇	C₂²	1	1	yes	characteristic, complemented
173	#442×C₆₇	C₂²	1	1	yes	characteristic, complemented
174	#440×C₆₇	C₂²	1	1	yes	characteristic, complemented
175	#440×C₆₇	C₂²	1	1	yes	characteristic, complemented
176	#440×C₆₇	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
179	C₄×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
181	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
182	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
183	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
184	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
188	C₈×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
189	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
190	#433×C₆₇	C₂²	1	1	yes	characteristic, complemented
191	#418×C₆₇	C₂²	1	1	yes	characteristic, complemented
192	#417×C₆₇	C₂²	1	1	yes	characteristic, complemented
193	#416×C₆₇	C₂²	1	1	yes	characteristic, complemented
194	#416×C₆₇	C₂²	1	1	yes	characteristic, complemented
195	#416×C₆₇	C₂²	1	1	yes	characteristic, complemented
196	C₂×#103×C₆₇	C₂²	1	1	yes	characteristic, complemented
197	C₂×#102×C₆₇	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102×C₆₇	C₂²	1	1	yes	characteristic, complemented
199	#408×C₆₇	C₂²	1	1	yes	characteristic, complemented
200	#408×C₆₇	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
203	H(5,𝔽₂)×C₆₇	—	4	2	no	—
204	H(5,𝔽₂)×C₆₇	—	4	2	no	—
205	C₂×#41×C₆₇	—	2	1	no	—
206	C₂×#41×C₆₇	—	2	1	no	—
207	C₂×#41×C₆₇	—	2	1	no	—
208	C₂×#41×C₆₇	—	2	1	no	—
209	C₂×#41×C₆₇	—	4	2	no	—
210	C₂×#41×C₆₇	—	4	2	no	—
211	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
212	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
213	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
214	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
215	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
216	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
217	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
218	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
219	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
220	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
221	C₂²×D₄×C₆₇	—	2	1	no	—
222	C₂²×D₄×C₆₇	—	2	1	no	—
223	C₂²×D₄×C₆₇	—	2	1	no	—
224	C₂²×D₄×C₆₇	—	2	1	no	—
225	C₂²×D₄×C₆₇	—	2	1	no	—
226	C₂²×D₄×C₆₇	—	2	1	no	—
227	C₂²×D₄×C₆₇	—	2	1	no	—
228	C₂²×D₄×C₆₇	—	2	1	no	—
229	C₂²×D₄×C₆₇	—	2	1	no	—
230	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
231	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
232	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
233	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
234	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
235	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
236	C₂³×C₄×C₆₇	—	2	1	no	—
237	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
238	AGL(1,ℤ/8)×C₆₇	—	4	2	no	—
239	AGL(1,ℤ/8)×C₆₇	—	4	2	no	—
240	#135×C₆₇	—	4	2	no	—
241	#135×C₆₇	—	4	2	no	—
242	#135×C₆₇	—	4	2	no	—
243	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
244	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
245	C₂×SD₁₆×C₆₇	—	4	2	no	—
246	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
247	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
248	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
249	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
250	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
252	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
253	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
254	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
255	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
256	C₂×D₈×C₆₇	—	4	2	no	—
257	C₂×D₈×C₆₇	—	4	2	no	—
258	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
259	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
260	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
261	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
262	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
263	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
264	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
265	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
266	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
267	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
268	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
269	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
270	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
271	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
273	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
275	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
276	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
278	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
279	#127×C₆₇	—	2	1	no	—
280	#127×C₆₇	—	2	1	no	—
281	#127×C₆₇	—	2	1	no	—
282	#127×C₆₇	—	2	1	no	—
283	#127×C₆₇	C₂³	1	1	yes	characteristic
284	#127×C₆₇	C₂³	1	1	yes	characteristic
285	#127×C₆₇	C₂³	1	1	yes	characteristic
286	#126×C₆₇	—	2	1	no	—
287	#126×C₆₇	—	2	1	no	—
288	#126×C₆₇	—	2	1	no	—
289	#125×C₆₇	—	2	1	no	—
290	#125×C₆₇	C₂³	1	1	yes	characteristic
291	#124×C₆₇	—	2	1	no	—
292	#124×C₆₇	—	2	1	no	—
293	#124×C₆₇	—	2	1	no	—
294	#124×C₆₇	—	2	1	no	—
295	#124×C₆₇	—	2	1	no	—
296	#124×C₆₇	—	2	1	no	—
297	#124×C₆₇	C₂³	1	1	yes	characteristic
298	#124×C₆₇	C₂³	1	1	yes	characteristic
299	#124×C₆₇	C₂³	1	1	yes	characteristic
300	#123×C₆₇	—	2	1	no	—
301	#123×C₆₇	—	2	1	no	—
302	#123×C₆₇	—	2	1	no	—
303	#123×C₆₇	—	2	1	no	—
304	#123×C₆₇	—	2	1	no	—
305	#123×C₆₇	—	2	1	no	—
306	#123×C₆₇	—	2	1	no	—
307	#123×C₆₇	—	2	1	no	—
308	#123×C₆₇	—	2	1	no	—
309	#123×C₆₇	—	2	1	no	—
310	#123×C₆₇	—	2	1	no	—
311	#123×C₆₇	—	2	1	no	—
312	#123×C₆₇	D₄	1	1	yes	characteristic
313	#123×C₆₇	D₄	1	1	yes	characteristic
314	C₂²⋊Q₈×C₆₇	—	2	1	no	—
315	C₂²⋊Q₈×C₆₇	—	2	1	no	—
316	C₂²⋊Q₈×C₆₇	—	2	1	no	—
317	C₂²⋊Q₈×C₆₇	—	2	1	no	—
318	C₂²⋊Q₈×C₆₇	—	2	1	no	—
319	C₂²⋊Q₈×C₆₇	—	2	1	no	—
320	C₂²⋊Q₈×C₆₇	D₄	1	1	yes	characteristic
321	C₂²⋊Q₈×C₆₇	D₄	1	1	yes	characteristic
322	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
325	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
326	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
327	#121×C₆₇	—	2	1	no	—
328	#121×C₆₇	—	2	1	no	—
329	#121×C₆₇	—	2	1	no	—
330	#121×C₆₇	—	2	1	no	—
331	#121×C₆₇	—	2	1	no	—
332	#121×C₆₇	—	2	1	no	—
333	#121×C₆₇	—	2	1	no	—
334	#121×C₆₇	—	2	1	no	—
335	#121×C₆₇	—	2	1	no	—
336	#121×C₆₇	—	2	1	no	—
337	#121×C₆₇	—	2	1	no	—
338	#121×C₆₇	—	2	1	no	—
339	#121×C₆₇	—	2	1	no	—
340	#121×C₆₇	—	2	1	no	—
341	#121×C₆₇	—	2	1	no	—
342	#121×C₆₇	—	2	1	no	—
343	#121×C₆₇	—	2	1	no	—
344	#121×C₆₇	—	2	1	no	—
345	#121×C₆₇	—	2	1	no	—
346	#121×C₆₇	—	2	1	no	—
347	#121×C₆₇	—	2	1	no	—
348	#121×C₆₇	—	2	1	no	—
349	#121×C₆₇	—	2	1	no	—
350	#121×C₆₇	—	2	1	no	—
351	#121×C₆₇	—	2	1	no	—
352	#121×C₆₇	—	2	1	no	—
353	#121×C₆₇	—	2	1	no	—
354	#121×C₆₇	—	2	1	no	—
355	#121×C₆₇	—	2	1	no	—
356	#121×C₆₇	—	2	1	no	—
357	#121×C₆₇	—	2	1	no	—
358	#121×C₆₇	D₄	1	1	yes	characteristic
359	#121×C₆₇	D₄	1	1	yes	characteristic
360	#121×C₆₇	C₂³	1	1	yes	characteristic
361	#121×C₆₇	C₂³	1	1	yes	characteristic
362	#121×C₆₇	C₂³	1	1	yes	characteristic
363	#121×C₆₇	C₂³	1	1	yes	characteristic
364	#121×C₆₇	C₂³	1	1	yes	characteristic
365	#121×C₆₇	C₂³	1	1	yes	characteristic
366	#121×C₆₇	C₂³	1	1	yes	characteristic
367	#121×C₆₇	C₂³	1	1	yes	characteristic
368	#121×C₆₇	C₂³	1	1	yes	characteristic
369	#121×C₆₇	C₂³	1	1	yes	characteristic
370	#121×C₆₇	C₂³	1	1	yes	characteristic
371	#121×C₆₇	C₂³	1	1	yes	characteristic
372	#121×C₆₇	C₂³	1	1	yes	characteristic
373	#121×C₆₇	C₂³	1	1	yes	characteristic
374	#121×C₆₇	C₂³	1	1	yes	characteristic
375	#120×C₆₇	—	2	1	no	—
376	#120×C₆₇	—	2	1	no	—
377	#120×C₆₇	—	2	1	no	—
378	#120×C₆₇	—	2	1	no	—
379	#120×C₆₇	—	2	1	no	—
380	#120×C₆₇	—	2	1	no	—
381	#120×C₆₇	—	2	1	no	—
382	#120×C₆₇	—	2	1	no	—
383	#120×C₆₇	—	2	1	no	—
384	#120×C₆₇	—	2	1	no	—
385	#120×C₆₇	—	2	1	no	—
386	#120×C₆₇	—	2	1	no	—
387	#120×C₆₇	—	2	1	no	—
388	#120×C₆₇	—	2	1	no	—
389	#120×C₆₇	—	2	1	no	—
390	#120×C₆₇	D₄	1	1	yes	characteristic
391	#120×C₆₇	D₄	1	1	yes	characteristic
392	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
393	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
394	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₆₇	—	2	1	no	—
396	C₄×D₄×C₆₇	—	2	1	no	—
397	C₄×D₄×C₆₇	—	2	1	no	—
398	C₄×D₄×C₆₇	—	2	1	no	—
399	C₄×D₄×C₆₇	—	2	1	no	—
400	C₄×D₄×C₆₇	—	2	1	no	—
401	C₄×D₄×C₆₇	—	2	1	no	—
402	C₄×D₄×C₆₇	—	2	1	no	—
403	C₄×D₄×C₆₇	—	2	1	no	—
404	C₄×D₄×C₆₇	—	2	1	no	—
405	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
406	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
407	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
408	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
409	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
410	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
411	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
412	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
413	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
414	#117×C₆₇	—	2	1	no	—
415	#117×C₆₇	—	2	1	no	—
416	#117×C₆₇	—	2	1	no	—
417	#117×C₆₇	C₂³	1	1	yes	characteristic
418	#117×C₆₇	C₂³	1	1	yes	characteristic
419	#117×C₆₇	C₂³	1	1	yes	characteristic
420	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
421	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
423	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
424	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
425	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
426	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
427	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
428	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
429	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
430	#107×C₆₇	C₂³	1	1	yes	characteristic
431	#107×C₆₇	C₂³	1	1	yes	characteristic
432	#107×C₆₇	C₂³	1	1	yes	characteristic
433	#107×C₆₇	C₂³	1	1	yes	characteristic
434	#107×C₆₇	C₂³	1	1	yes	characteristic
435	#107×C₆₇	C₂³	1	1	yes	characteristic
436	#106×C₆₇	C₂³	1	1	yes	characteristic
437	#106×C₆₇	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
440	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
441	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
442	#103×C₆₇	C₂³	1	1	yes	characteristic
443	#103×C₆₇	C₂³	1	1	yes	characteristic
444	#103×C₆₇	C₂³	1	1	yes	characteristic
445	#103×C₆₇	C₂³	1	1	yes	characteristic
446	#103×C₆₇	C₂³	1	1	yes	characteristic
447	#103×C₆₇	C₂³	1	1	yes	characteristic
448	#103×C₆₇	C₂³	1	1	yes	characteristic
449	#103×C₆₇	C₂³	1	1	yes	characteristic
450	#103×C₆₇	C₂³	1	1	yes	characteristic
451	#103×C₆₇	C₂³	1	1	yes	characteristic
452	#102×C₆₇	C₂³	1	1	yes	characteristic
453	#102×C₆₇	C₂³	1	1	yes	characteristic
454	#102×C₆₇	C₂³	1	1	yes	characteristic
455	#102×C₆₇	C₂³	1	1	yes	characteristic
456	#102×C₆₇	C₂³	1	1	yes	characteristic
457	#102×C₆₇	C₂³	1	1	yes	characteristic
458	#102×C₆₇	C₂³	1	1	yes	characteristic
459	#102×C₆₇	C₂³	1	1	yes	characteristic
460	#102×C₆₇	C₂³	1	1	yes	characteristic
461	#102×C₆₇	C₂³	1	1	yes	characteristic
462	#102×C₆₇	C₂³	1	1	yes	characteristic
463	#102×C₆₇	C₂³	1	1	yes	characteristic
464	#102×C₆₇	C₂³	1	1	yes	characteristic
465	#102×C₆₇	C₂³	1	1	yes	characteristic
466	#102×C₆₇	C₂³	1	1	yes	characteristic
467	#102×C₆₇	C₂³	1	1	yes	characteristic
468	#102×C₆₇	C₂³	1	1	yes	characteristic
469	#102×C₆₇	C₂³	1	1	yes	characteristic
470	#102×C₆₇	C₂³	1	1	yes	characteristic
471	#102×C₆₇	C₂³	1	1	yes	characteristic
472	#102×C₆₇	C₂³	1	1	yes	characteristic
473	#102×C₆₇	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
478	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
480	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
481	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
482	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
483	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
484	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
485	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
486	#97×C₆₇	C₂³	1	1	yes	characteristic
487	#97×C₆₇	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
490	C₂⁴×C₆₇	—	2	1	no	—
491	C₂⁴×C₆₇	—	2	1	no	—
492	C₂⁴×C₆₇	—	2	1	no	—
493	C₂⁴×C₆₇	—	2	1	no	—
494	C₂⁴×C₆₇	—	2	1	no	—
495	C₂⁴×C₆₇	—	2	1	no	—
496	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
497	#41×C₆₇	—	2	2	no	—
498	#41×C₆₇	—	2	2	no	—
499	#41×C₆₇	—	2	2	no	—
500	#41×C₆₇	—	2	2	no	—
501	#41×C₆₇	—	2	2	no	—
502	#41×C₆₇	—	2	2	no	—
503	#41×C₆₇	—	4	1	no	—
504	#41×C₆₇	—	4	1	no	—
505	#41×C₆₇	—	4	1	no	—
506	#41×C₆₇	—	4	1	no	—
507	#41×C₆₇	—	4	1	no	—
508	#41×C₆₇	—	4	1	no	—
509	#41×C₆₇	—	4	1	no	—
510	#41×C₆₇	—	4	1	no	—
511	#41×C₆₇	—	4	4	no	—
512	#41×C₆₇	—	4	4	no	—
513	#41×C₆₇	—	4	1	no	—
514	#41×C₆₇	—	4	1	no	—
515	#41×C₆₇	—	4	1	no	—
516	#41×C₆₇	—	4	1	no	—
517	#41×C₆₇	—	4	4	no	—
518	#41×C₆₇	—	8	2	no	—
519	C₂×Q₈×C₆₇	—	2	1	no	—
520	C₂×Q₈×C₆₇	—	2	1	no	—
521	C₂×Q₈×C₆₇	—	2	2	no	—
522	C₂×Q₈×C₆₇	—	4	1	no	—
523	C₂×Q₈×C₆₇	C₂×D₄	1	1	yes	characteristic
524	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
525	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
526	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
527	C₂×D₄×C₆₇	—	2	1	no	—
528	C₂×D₄×C₆₇	—	2	2	no	—
529	C₂×D₄×C₆₇	—	2	2	no	—
530	C₂×D₄×C₆₇	—	2	2	no	—
531	C₂×D₄×C₆₇	—	2	1	no	—
532	C₂×D₄×C₆₇	—	2	1	no	—
533	C₂×D₄×C₆₇	—	2	1	no	—
534	C₂×D₄×C₆₇	—	2	1	no	—
535	C₂×D₄×C₆₇	—	2	1	no	—
536	C₂×D₄×C₆₇	—	2	1	no	—
537	C₂×D₄×C₆₇	—	2	1	no	—
538	C₂×D₄×C₆₇	—	2	1	no	—
539	C₂×D₄×C₆₇	—	2	1	no	—
540	C₂×D₄×C₆₇	—	2	1	no	—
541	C₂×D₄×C₆₇	—	2	1	no	—
542	C₂×D₄×C₆₇	—	2	1	no	—
543	C₂×D₄×C₆₇	—	2	1	no	—
544	C₂×D₄×C₆₇	—	2	1	no	—
545	C₂×D₄×C₆₇	—	2	1	no	—
546	C₂×D₄×C₆₇	—	2	1	no	—
547	C₂×D₄×C₆₇	—	2	1	no	—
548	C₂×D₄×C₆₇	—	2	1	no	—
549	C₂×D₄×C₆₇	—	2	1	no	—
550	C₂×D₄×C₆₇	—	2	1	no	—
551	C₂×D₄×C₆₇	—	2	1	no	—
552	C₂×D₄×C₆₇	—	2	1	no	—
553	C₂×D₄×C₆₇	—	2	1	no	—
554	C₂×D₄×C₆₇	—	2	1	no	—
555	C₂×D₄×C₆₇	—	2	1	no	—
556	C₂×D₄×C₆₇	—	2	1	no	—
557	C₂×D₄×C₆₇	—	2	1	no	—
558	C₂×D₄×C₆₇	—	2	1	no	—
559	C₂×D₄×C₆₇	—	2	1	no	—
560	C₂×D₄×C₆₇	—	2	1	no	—
561	C₂×D₄×C₆₇	—	2	1	no	—
562	C₂×D₄×C₆₇	—	2	1	no	—
563	C₂×D₄×C₆₇	—	2	1	no	—
564	C₂×D₄×C₆₇	—	2	1	no	—
565	C₂×D₄×C₆₇	—	4	1	no	—
566	C₂×D₄×C₆₇	—	4	1	no	—
567	C₂×D₄×C₆₇	—	4	1	no	—
568	C₂×D₄×C₆₇	—	4	1	no	—
569	C₂×D₄×C₆₇	—	4	1	no	—
570	C₂×D₄×C₆₇	—	4	1	no	—
571	C₂×D₄×C₆₇	—	4	1	no	—
572	C₂×D₄×C₆₇	—	4	1	no	—
573	C₂×D₄×C₆₇	—	4	1	no	—
574	C₂×D₄×C₆₇	—	4	4	no	—
575	C₂×D₄×C₆₇	—	4	4	no	—
576	C₂×D₄×C₆₇	—	4	4	no	—
577	C₂×D₄×C₆₇	—	4	4	no	—
578	C₂×D₄×C₆₇	—	8	2	no	—
579	C₂×D₄×C₆₇	—	8	2	no	—
580	C₂×D₄×C₆₇	—	8	2	no	—
581	C₂×D₄×C₆₇	—	8	2	no	—
582	C₂×D₄×C₆₇	—	8	2	no	—
583	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
584	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
585	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
586	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
587	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
588	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
589	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
590	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
591	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
592	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
593	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
594	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
595	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
596	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
597	C₂²×C₄×C₆₇	—	2	1	no	—
598	C₂²×C₄×C₆₇	—	2	1	no	—
599	C₂²×C₄×C₆₇	—	2	1	no	—
600	C₂²×C₄×C₆₇	—	2	1	no	—
601	C₂²×C₄×C₆₇	—	2	1	no	—
602	C₂²×C₄×C₆₇	—	2	1	no	—
603	C₂²×C₄×C₆₇	—	2	1	no	—
604	C₂²×C₄×C₆₇	—	2	1	no	—
605	C₂²×C₄×C₆₇	—	2	1	no	—
606	C₂²×C₄×C₆₇	—	2	1	no	—
607	C₂²×C₄×C₆₇	—	2	1	no	—
608	C₂²×C₄×C₆₇	—	2	1	no	—
609	C₂²×C₄×C₆₇	—	2	1	no	—
610	C₂²×C₄×C₆₇	—	2	1	no	—
611	C₂²×C₄×C₆₇	—	2	1	no	—
612	C₂²×C₄×C₆₇	—	2	1	no	—
613	C₂²×C₄×C₆₇	—	2	1	no	—
614	C₂²×C₄×C₆₇	—	4	1	no	—
615	C₂²×C₄×C₆₇	—	4	1	no	—
616	C₂²×C₄×C₆₇	—	4	4	no	—
617	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
618	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
619	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
620	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
625	Q₁₆×C₆₇	—	2	2	no	—
626	Q₁₆×C₆₇	—	4	1	no	—
627	SD₁₆×C₆₇	—	2	2	no	—
628	SD₁₆×C₆₇	—	2	2	no	—
629	SD₁₆×C₆₇	—	2	2	no	—
630	SD₁₆×C₆₇	—	2	2	no	—
631	SD₁₆×C₆₇	—	4	1	no	—
632	SD₁₆×C₆₇	—	4	1	no	—
633	SD₁₆×C₆₇	—	4	1	no	—
634	SD₁₆×C₆₇	—	4	1	no	—
635	SD₁₆×C₆₇	—	4	1	no	—
636	SD₁₆×C₆₇	—	4	1	no	—
637	D₈×C₆₇	—	2	2	no	—
638	D₈×C₆₇	—	2	2	no	—
639	D₈×C₆₇	—	2	2	no	—
640	D₈×C₆₇	—	4	1	no	—
641	D₈×C₆₇	—	4	1	no	—
642	D₈×C₆₇	—	4	1	no	—
643	D₈×C₆₇	—	4	1	no	—
644	D₈×C₆₇	—	4	1	no	—
645	D₈×C₆₇	—	4	1	no	—
646	D₈×C₆₇	—	4	1	no	—
647	D₈×C₆₇	—	4	1	no	—
648	D₈×C₆₇	—	4	1	no	—
649	M₁₆×C₆₇	—	4	1	no	—
650	M₁₆×C₆₇	—	4	1	no	—
651	C₂×C₈×C₆₇	—	4	1	no	—
652	C₂×C₈×C₆₇	—	4	1	no	—
653	C₂×C₈×C₆₇	—	4	1	no	—
654	C₂×C₈×C₆₇	—	4	1	no	—
655	C₂×C₈×C₆₇	—	4	1	no	—
656	C₂×C₈×C₆₇	—	4	1	no	—
657	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
658	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
659	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
660	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
661	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
662	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
663	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
664	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
665	C₄⋊C₄×C₆₇	—	2	1	no	—
666	C₄⋊C₄×C₆₇	—	2	1	no	—
667	C₄⋊C₄×C₆₇	—	2	1	no	—
668	C₄⋊C₄×C₆₇	—	2	1	no	—
669	C₄⋊C₄×C₆₇	—	2	1	no	—
670	C₄⋊C₄×C₆₇	—	2	1	no	—
671	C₄⋊C₄×C₆₇	—	2	1	no	—
672	C₄⋊C₄×C₆₇	—	2	1	no	—
673	C₄⋊C₄×C₆₇	—	2	1	no	—
674	C₄⋊C₄×C₆₇	—	2	1	no	—
675	C₄⋊C₄×C₆₇	—	2	1	no	—
676	C₄⋊C₄×C₆₇	—	2	1	no	—
677	C₄⋊C₄×C₆₇	—	2	1	no	—
678	C₄⋊C₄×C₆₇	—	2	1	no	—
679	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
680	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
681	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
682	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
683	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
684	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
685	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
686	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
687	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
688	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
689	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
690	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
691	C₂²⋊C₄×C₆₇	—	2	1	no	—
692	C₂²⋊C₄×C₆₇	—	2	1	no	—
693	C₂²⋊C₄×C₆₇	—	2	1	no	—
694	C₂²⋊C₄×C₆₇	—	2	1	no	—
695	C₂²⋊C₄×C₆₇	—	2	1	no	—
696	C₂²⋊C₄×C₆₇	—	2	1	no	—
697	C₂²⋊C₄×C₆₇	—	2	1	no	—
698	C₂²⋊C₄×C₆₇	—	2	1	no	—
699	C₂²⋊C₄×C₆₇	—	2	1	no	—
700	C₂²⋊C₄×C₆₇	—	2	1	no	—
701	C₂²⋊C₄×C₆₇	—	2	1	no	—
702	C₂²⋊C₄×C₆₇	—	2	1	no	—
703	C₂²⋊C₄×C₆₇	—	2	1	no	—
704	C₂²⋊C₄×C₆₇	—	2	1	no	—
705	C₂²⋊C₄×C₆₇	—	2	1	no	—
706	C₂²⋊C₄×C₆₇	—	2	1	no	—
707	C₂²⋊C₄×C₆₇	—	2	1	no	—
708	C₂²⋊C₄×C₆₇	—	2	1	no	—
709	C₂²⋊C₄×C₆₇	—	2	1	no	—
710	C₂²⋊C₄×C₆₇	—	2	1	no	—
711	C₂²⋊C₄×C₆₇	—	2	1	no	—
712	C₂²⋊C₄×C₆₇	—	2	1	no	—
713	C₂²⋊C₄×C₆₇	—	2	1	no	—
714	C₂²⋊C₄×C₆₇	—	2	1	no	—
715	C₂²⋊C₄×C₆₇	—	2	1	no	—
716	C₂²⋊C₄×C₆₇	—	2	1	no	—
717	C₂²⋊C₄×C₆₇	—	2	1	no	—
718	C₂²⋊C₄×C₆₇	—	2	1	no	—
719	C₂²⋊C₄×C₆₇	—	2	1	no	—
720	C₂²⋊C₄×C₆₇	—	2	1	no	—
721	C₂²⋊C₄×C₆₇	—	2	1	no	—
722	C₂²⋊C₄×C₆₇	—	2	1	no	—
723	C₂²⋊C₄×C₆₇	—	2	1	no	—
724	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
725	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
726	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
727	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
728	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
729	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
730	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
731	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
732	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
733	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
734	C₄²×C₆₇	—	2	1	no	—
735	C₄²×C₆₇	—	2	1	no	—
736	C₄²×C₆₇	—	2	1	no	—
737	C₄²×C₆₇	—	2	1	no	—
738	C₄²×C₆₇	—	2	1	no	—
739	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
740	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
741	C₂³×C₆₇	—	2	1	no	—
742	C₂³×C₆₇	—	2	2	no	—
743	C₂³×C₆₇	—	2	1	no	—
744	C₂³×C₆₇	—	2	1	no	—
745	C₂³×C₆₇	—	2	1	no	—
746	C₂³×C₆₇	—	2	1	no	—
747	C₂³×C₆₇	—	2	1	no	—
748	C₂³×C₆₇	—	2	1	no	—
749	C₂³×C₆₇	—	4	1	no	—
750	C₂³×C₆₇	—	4	1	no	—
751	C₂³×C₆₇	—	4	2	no	—
752	C₂³×C₆₇	—	4	2	no	—
753	C₂³×C₆₇	—	4	2	no	—
754	C₂³×C₆₇	—	4	2	no	—
755	C₂³×C₆₇	—	4	2	no	—
756	C₂³×C₆₇	—	4	2	no	—
757	C₂³×C₆₇	—	8	1	no	—
758	C₂³×C₆₇	—	8	1	no	—
759	C₂³×C₆₇	—	8	1	no	—
760	C₂³×C₆₇	—	8	1	no	—
761	C₂³×C₆₇	—	8	1	no	—
762	C₂³×C₆₇	—	8	1	no	—
763	C₂³×C₆₇	—	8	1	no	—
764	C₂³×C₆₇	—	8	1	no	—
765	C₂³×C₆₇	—	8	1	no	—
766	C₂³×C₆₇	—	8	1	no	—
767	C₂³×C₆₇	—	8	1	no	—
768	C₂³×C₆₇	—	8	1	no	—
769	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
770	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
771	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
772	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
773	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
774	Q₈×C₆₇	—	2	1	no	—
775	Q₈×C₆₇	—	2	1	no	—
776	Q₈×C₆₇	—	2	1	no	—
777	Q₈×C₆₇	—	2	1	no	—
778	Q₈×C₆₇	—	2	1	no	—
779	Q₈×C₆₇	—	4	1	no	—
780	Q₈×C₆₇	—	4	2	no	—
781	Q₈×C₆₇	—	8	1	no	—
782	Q₈×C₆₇	H(5,𝔽₂)	1	2	yes	—
783	D₄×C₆₇	—	2	4	no	—
784	D₄×C₆₇	—	2	2	no	—
785	D₄×C₆₇	—	2	2	no	—
786	D₄×C₆₇	—	2	1	no	—
787	D₄×C₆₇	—	2	1	no	—
788	D₄×C₆₇	—	2	1	no	—
789	D₄×C₆₇	—	2	1	no	—
790	D₄×C₆₇	—	2	1	no	—
791	D₄×C₆₇	—	2	1	no	—
792	D₄×C₆₇	—	2	1	no	—
793	D₄×C₆₇	—	2	1	no	—
794	D₄×C₆₇	—	2	1	no	—
795	D₄×C₆₇	—	2	1	no	—
796	D₄×C₆₇	—	2	1	no	—
797	D₄×C₆₇	—	2	1	no	—
798	D₄×C₆₇	—	2	1	no	—
799	D₄×C₆₇	—	4	1	no	—
800	D₄×C₆₇	—	4	1	no	—
801	D₄×C₆₇	—	4	1	no	—
802	D₄×C₆₇	—	4	1	no	—
803	D₄×C₆₇	—	4	1	no	—
804	D₄×C₆₇	—	4	2	no	—
805	D₄×C₆₇	—	4	2	no	—
806	D₄×C₆₇	—	4	2	no	—
807	D₄×C₆₇	—	4	2	no	—
808	D₄×C₆₇	—	4	2	no	—
809	D₄×C₆₇	—	4	2	no	—
810	D₄×C₆₇	—	4	2	no	—
811	D₄×C₆₇	—	4	2	no	—
812	D₄×C₆₇	—	4	2	no	—
813	D₄×C₆₇	—	4	2	no	—
814	D₄×C₆₇	—	4	2	no	—
815	D₄×C₆₇	—	4	2	no	—
816	D₄×C₆₇	—	8	1	no	—
817	D₄×C₆₇	—	8	1	no	—
818	D₄×C₆₇	—	8	1	no	—
819	D₄×C₆₇	—	8	1	no	—
820	D₄×C₆₇	—	8	1	no	—
821	D₄×C₆₇	—	8	1	no	—
822	D₄×C₆₇	—	8	1	no	—
823	D₄×C₆₇	—	8	1	no	—
824	D₄×C₆₇	—	8	1	no	—
825	D₄×C₆₇	—	8	1	no	—
826	D₄×C₆₇	—	8	1	no	—
827	D₄×C₆₇	—	8	1	no	—
828	D₄×C₆₇	—	8	1	no	—
829	D₄×C₆₇	—	8	1	no	—
830	D₄×C₆₇	—	8	1	no	—
831	D₄×C₆₇	—	8	1	no	—
832	D₄×C₆₇	—	8	1	no	—
833	D₄×C₆₇	—	8	1	no	—
834	D₄×C₆₇	—	8	1	no	—
835	D₄×C₆₇	—	8	1	no	—
836	D₄×C₆₇	—	8	1	no	—
837	D₄×C₆₇	—	8	1	no	—
838	D₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
839	C₂×C₄×C₆₇	—	2	4	no	—
840	C₂×C₄×C₆₇	—	2	1	no	—
841	C₂×C₄×C₆₇	—	2	1	no	—
842	C₂×C₄×C₆₇	—	2	1	no	—
843	C₂×C₄×C₆₇	—	2	1	no	—
844	C₂×C₄×C₆₇	—	2	1	no	—
845	C₂×C₄×C₆₇	—	2	1	no	—
846	C₂×C₄×C₆₇	—	2	1	no	—
847	C₂×C₄×C₆₇	—	2	1	no	—
848	C₂×C₄×C₆₇	—	2	1	no	—
849	C₂×C₄×C₆₇	—	2	1	no	—
850	C₂×C₄×C₆₇	—	2	1	no	—
851	C₂×C₄×C₆₇	—	2	1	no	—
852	C₂×C₄×C₆₇	—	2	1	no	—
853	C₂×C₄×C₆₇	—	2	1	no	—
854	C₂×C₄×C₆₇	—	2	1	no	—
855	C₂×C₄×C₆₇	—	2	1	no	—
856	C₂×C₄×C₆₇	—	2	1	no	—
857	C₂×C₄×C₆₇	—	2	1	no	—
858	C₂×C₄×C₆₇	—	2	1	no	—
859	C₂×C₄×C₆₇	—	4	1	no	—
860	C₂×C₄×C₆₇	—	4	1	no	—
861	C₂×C₄×C₆₇	—	4	1	no	—
862	C₂×C₄×C₆₇	—	4	2	no	—
863	C₂×C₄×C₆₇	—	4	2	no	—
864	C₂×C₄×C₆₇	—	4	2	no	—
865	C₂×C₄×C₆₇	—	4	2	no	—
866	C₂×C₄×C₆₇	—	4	2	no	—
867	C₂×C₄×C₆₇	—	4	2	no	—
868	C₂×C₄×C₆₇	—	4	2	no	—
869	C₂×C₄×C₆₇	—	8	1	no	—
870	C₂×C₄×C₆₇	—	8	1	no	—
871	C₂×C₄×C₆₇	—	8	1	no	—
872	C₂×C₄×C₆₇	—	8	1	no	—
873	C₂×C₄×C₆₇	—	8	1	no	—
874	C₂×C₄×C₆₇	—	8	1	no	—
875	C₂×C₄×C₆₇	—	8	1	no	—
876	C₂×C₄×C₆₇	—	8	1	no	—
877	C₂×C₄×C₆₇	—	8	1	no	—
878	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
879	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
880	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
881	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
882	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
883	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
884	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
885	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
886	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
887	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
888	C₈×C₆₇	—	2	1	no	—
889	C₈×C₆₇	—	2	1	no	—
890	C₈×C₆₇	—	2	1	no	—
891	C₈×C₆₇	—	2	1	no	—
892	C₈×C₆₇	—	2	1	no	—
893	C₈×C₆₇	—	2	1	no	—
894	C₈×C₆₇	—	2	1	no	—
895	C₈×C₆₇	—	2	1	no	—
896	C₂²×C₆₇	—	2	1	no	—
897	C₂²×C₆₇	—	2	1	no	—
898	C₂²×C₆₇	—	2	1	no	—
899	C₂²×C₆₇	—	2	1	no	—
900	C₂²×C₆₇	—	2	1	no	—
901	C₂²×C₆₇	—	2	1	no	—
902	C₂²×C₆₇	—	2	1	no	—
903	C₂²×C₆₇	—	2	2	no	—
904	C₂²×C₆₇	—	2	1	no	—
905	C₂²×C₆₇	—	2	1	no	—
906	C₂²×C₆₇	—	2	1	no	—
907	C₂²×C₆₇	—	2	1	no	—
908	C₂²×C₆₇	—	2	1	no	—
909	C₂²×C₆₇	—	2	1	no	—
910	C₂²×C₆₇	—	2	1	no	—
911	C₂²×C₆₇	—	4	1	no	—
912	C₂²×C₆₇	—	4	1	no	—
913	C₂²×C₆₇	—	4	1	no	—
914	C₂²×C₆₇	—	4	1	no	—
915	C₂²×C₆₇	—	4	1	no	—
916	C₂²×C₆₇	—	4	1	no	—
917	C₂²×C₆₇	—	4	1	no	—
918	C₂²×C₆₇	—	4	1	no	—
919	C₂²×C₆₇	—	4	1	no	—
920	C₂²×C₆₇	—	4	1	no	—
921	C₂²×C₆₇	—	4	1	no	—
922	C₂²×C₆₇	—	4	1	no	—
923	C₂²×C₆₇	—	4	1	no	—
924	C₂²×C₆₇	—	4	1	no	—
925	C₂²×C₆₇	—	4	1	no	—
926	C₂²×C₆₇	—	4	1	no	—
927	C₂²×C₆₇	—	4	1	no	—
928	C₂²×C₆₇	—	4	1	no	—
929	C₂²×C₆₇	—	4	1	no	—
930	C₂²×C₆₇	—	4	1	no	—
931	C₂²×C₆₇	—	8	2	no	—
932	C₂²×C₆₇	—	8	4	no	—
933	C₂²×C₆₇	—	16	2	no	—
934	C₂²×C₆₇	—	16	2	no	—
935	C₂²×C₆₇	—	16	2	no	—
936	C₂²×C₆₇	—	16	2	no	—
937	C₂²×C₆₇	—	16	2	no	—
938	C₂²×C₆₇	#576	1	2	yes	—
939	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
940	C₄×C₆₇	—	2	1	no	—
941	C₄×C₆₇	—	2	1	no	—
942	C₄×C₆₇	—	2	1	no	—
943	C₄×C₆₇	—	2	2	no	—
944	C₄×C₆₇	—	2	1	no	—
945	C₄×C₆₇	—	2	1	no	—
946	C₄×C₆₇	—	2	1	no	—
947	C₄×C₆₇	—	2	1	no	—
948	C₄×C₆₇	—	2	1	no	—
949	C₄×C₆₇	—	2	1	no	—
950	C₄×C₆₇	—	4	1	no	—
951	C₄×C₆₇	—	4	1	no	—
952	C₄×C₆₇	—	4	1	no	—
953	C₄×C₆₇	—	4	1	no	—
954	C₄×C₆₇	—	4	1	no	—
955	C₄×C₆₇	—	4	1	no	—
956	C₄×C₆₇	—	4	1	no	—
957	C₄×C₆₇	—	4	1	no	—
958	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
959	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
960	#61639	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
961	C₂×C₆₇	—	2	2	no	—
962	C₂×C₆₇	—	4	1	no	—
963	C₂×C₆₇	—	4	1	no	—
964	C₂×C₆₇	—	4	1	no	—
965	C₂×C₆₇	—	4	1	no	—
966	C₂×C₆₇	—	4	2	no	—
967	C₂×C₆₇	—	8	1	no	—
968	C₂×C₆₇	—	8	1	no	—
969	C₂×C₆₇	—	8	1	no	—
970	C₂×C₆₇	—	8	1	no	—
971	C₂×C₆₇	—	8	1	no	—
972	C₂×C₆₇	—	8	1	no	—
973	C₂×C₆₇	#3484	1	1	yes	characteristic
974	C₂×C₆₇	C₂×#576	1	1	yes	characteristic
975	C₂×C₆₇	#3584	1	1	yes	characteristic
976	#3542	C₂×C₆₇	1	1	yes	characteristic, complemented
977	#3488	C₂×C₆₇	1	1	yes	characteristic, complemented
978	#3319	C₂×C₆₇	1	1	yes	characteristic, complemented
979	#3310	C₂×C₆₇	1	1	yes	characteristic, complemented
980	#3309	C₂×C₆₇	1	1	yes	characteristic, complemented
981	#3308	C₂×C₆₇	1	1	yes	characteristic, complemented
982	#3305	C₂×C₆₇	1	1	yes	characteristic, complemented
983	#3300	C₂×C₆₇	1	1	yes	characteristic, complemented
984	#3297	C₂×C₆₇	1	1	yes	characteristic, complemented
985	#3294	C₂×C₆₇	1	1	yes	characteristic, complemented
986	#3287	C₂×C₆₇	1	1	yes	characteristic, complemented
987	#3282	C₂×C₆₇	1	1	yes	characteristic, complemented
988	#3280	C₂×C₆₇	1	1	yes	characteristic, complemented
989	D₄×D₈	C₂×C₆₇	1	1	yes	characteristic, complemented
990	#3268	C₂×C₆₇	1	1	yes	characteristic, complemented
991	#3268	C₂×C₆₇	1	1	yes	characteristic, complemented
992	#3265	C₂×C₆₇	1	1	yes	characteristic, complemented
993	#3264	C₂×C₆₇	1	1	yes	characteristic, complemented
994	#3224	C₂×C₆₇	1	1	yes	characteristic, complemented
995	#3220	C₂×C₆₇	1	1	yes	characteristic, complemented
996	#3203	C₂×C₆₇	1	1	yes	characteristic, complemented
997	#3198	C₂×C₆₇	1	1	yes	characteristic, complemented
998	#3188	C₂×C₆₇	1	1	yes	characteristic, complemented
999	#3186	C₂×C₆₇	1	1	yes	characteristic, complemented
1000	#3124	C₂×C₆₇	1	1	yes	characteristic, complemented
1001	#3119	C₂×C₆₇	1	1	yes	characteristic, complemented
1002	#3012	C₂×C₆₇	1	1	yes	characteristic, complemented
1003	#3008	C₂×C₆₇	1	1	yes	characteristic, complemented
1004	#3002	C₂×C₆₇	1	1	yes	characteristic, complemented
1005	C₂×#449	C₂×C₆₇	1	1	yes	characteristic, complemented
1006	#2977	C₂×C₆₇	1	1	yes	characteristic, complemented
1007	C₆₇	#61639	1	1	yes	characteristic, direct product factor, Sylow
1008	C₂×H(5,𝔽₂)	C₂²×C₆₇	1	1	yes	characteristic, complemented
1009	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic, complemented
1010	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	1	yes	characteristic, complemented
1011	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	1	yes	characteristic, complemented
1012	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic, complemented
1013	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic, complemented
1014	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic, complemented
1015	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1016	C₂²×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1017	C₂²×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1018	#562	—	2	1	no	—
1019	#560	—	2	1	no	—
1020	#555	C₂²×C₆₇	1	1	yes	characteristic, complemented
1021	#553	C₂²×C₆₇	1	1	yes	characteristic, complemented
1022	#552	C₂²×C₆₇	1	1	yes	characteristic, complemented
1023	#551	—	2	1	no	—
1024	#550	C₂²×C₆₇	1	1	yes	characteristic, complemented
1025	#550	C₂²×C₆₇	1	1	yes	characteristic, complemented
1026	#550	C₂²×C₆₇	1	1	yes	characteristic, complemented
1027	#548	C₂²×C₆₇	1	1	yes	characteristic
1028	#548	C₂²×C₆₇	1	1	yes	characteristic, complemented
1029	#547	C₂²×C₆₇	1	1	yes	characteristic, complemented
1030	#546	—	2	1	no	—
1031	#546	—	2	1	no	—
1032	#546	—	2	1	no	—
1033	#546	C₂²×C₆₇	1	1	yes	characteristic, complemented
1034	#546	C₂²×C₆₇	1	1	yes	characteristic, complemented
1035	#546	C₂²×C₆₇	1	1	yes	characteristic, complemented
1036	#546	C₂²×C₆₇	1	1	yes	characteristic, complemented
1037	D₄²	—	2	1	no	—
1038	D₄²	—	2	1	no	—
1039	D₄²	C₂²×C₆₇	1	1	yes	characteristic
1040	D₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
1041	D₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
1042	#542	C₂²×C₆₇	1	1	yes	characteristic, complemented
1043	#540	—	2	1	no	—
1044	#540	C₂²×C₆₇	1	1	yes	characteristic, complemented
1045	#538	—	2	1	no	—
1046	#537	—	2	1	no	—
1047	#537	C₂²×C₆₇	1	1	yes	characteristic, complemented
1048	#537	C₂²×C₆₇	1	1	yes	characteristic, complemented
1049	#535	—	2	1	no	—
1050	#535	—	2	1	no	—
1051	#535	C₂²×C₆₇	1	1	yes	characteristic, complemented
1052	#535	C₂²×C₆₇	1	1	yes	characteristic, complemented
1053	#534	—	2	1	no	—
1054	#525	—	2	1	no	—
1055	#525	C₂²×C₆₇	1	1	yes	characteristic
1056	#525	C₂²×C₆₇	1	1	yes	characteristic, complemented
1057	C₂×#121	—	2	1	no	—
1058	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
1059	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
1060	#520	C₂²×C₆₇	1	1	yes	characteristic, complemented
1061	#496	C₂²×C₆₇	1	1	yes	characteristic, complemented
1062	#496	C₂²×C₆₇	1	1	yes	characteristic, complemented
1063	#495	C₂²×C₆₇	1	1	yes	characteristic, complemented
1064	#493	C₂²×C₆₇	1	1	yes	characteristic, complemented
1065	#490	C₂²×C₆₇	1	1	yes	characteristic, complemented
1066	#489	C₂²×C₆₇	1	1	yes	characteristic, complemented
1067	#488	C₂²×C₆₇	1	1	yes	characteristic, complemented
1068	#486	C₂²×C₆₇	1	1	yes	characteristic, complemented
1069	#485	C₂²×C₆₇	1	1	yes	characteristic, complemented
1070	#484	C₂²×C₆₇	1	1	yes	characteristic, complemented
1071	#484	C₂²×C₆₇	1	1	yes	characteristic, complemented
1072	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1073	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1074	#482	C₂²×C₆₇	1	1	yes	characteristic, complemented
1075	#481	C₂²×C₆₇	1	1	yes	characteristic, complemented
1076	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
1077	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
1078	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
1079	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
1080	#480	C₂²×C₆₇	1	1	yes	characteristic, complemented
1081	#479	C₂²×C₆₇	1	1	yes	characteristic, complemented
1082	#478	C₂²×C₆₇	1	1	yes	characteristic, complemented
1083	#477	C₂²×C₆₇	1	1	yes	characteristic, complemented
1084	#474	C₂²×C₆₇	1	1	yes	characteristic, complemented
1085	#469	C₂²×C₆₇	1	1	yes	characteristic, complemented
1086	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1087	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1088	#468	C₂²×C₆₇	1	1	yes	characteristic, complemented
1089	#467	C₂²×C₆₇	1	1	yes	characteristic, complemented
1090	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1091	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1092	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1093	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1094	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1095	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1096	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1097	#466	C₂²×C₆₇	1	1	yes	characteristic, complemented
1098	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1099	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1100	#465	C₂²×C₆₇	1	1	yes	characteristic, complemented
1101	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1102	#464	C₂²×C₆₇	1	1	yes	characteristic, complemented
1103	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1104	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1105	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1106	#463	C₂²×C₆₇	1	1	yes	characteristic, complemented
1107	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1108	#460	C₂²×C₆₇	1	1	yes	characteristic, complemented
1109	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1110	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1111	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1112	#459	C₂²×C₆₇	1	1	yes	characteristic, complemented
1113	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1114	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1115	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1116	#452	C₂²×C₆₇	1	1	yes	characteristic, complemented
1117	#451	C₂²×C₆₇	1	1	yes	characteristic, complemented
1118	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1119	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1120	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1121	#450	C₂²×C₆₇	1	1	yes	characteristic, complemented
1122	#449	C₂²×C₆₇	1	1	yes	characteristic
1123	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1124	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1125	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1126	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1127	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1128	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1129	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1130	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1131	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1132	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1133	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1134	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1135	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1136	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1137	#449	C₂²×C₆₇	1	1	yes	characteristic, complemented
1138	#448	C₂²×C₆₇	1	1	yes	characteristic, complemented
1139	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1140	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1141	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1142	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1143	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1144	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1145	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1146	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1147	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1148	#447	C₂²×C₆₇	1	1	yes	characteristic, complemented
1149	#442	C₂²×C₆₇	1	1	yes	characteristic, complemented
1150	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1151	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1152	#440	C₂²×C₆₇	1	1	yes	characteristic, complemented
1153	C₄×Q₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1154	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
1155	C₄×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1156	C₄×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1157	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1158	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1159	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1160	#435	C₂²×C₆₇	1	1	yes	characteristic, complemented
1161	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1162	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1163	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1164	C₈×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1165	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
1166	#433	C₂²×C₆₇	1	1	yes	characteristic, complemented
1167	#418	C₂²×C₆₇	1	1	yes	characteristic, complemented
1168	#417	C₂²×C₆₇	1	1	yes	characteristic, complemented
1169	#416	C₂²×C₆₇	1	1	yes	characteristic, complemented
1170	#416	C₂²×C₆₇	1	1	yes	characteristic, complemented
1171	#416	C₂²×C₆₇	1	1	yes	characteristic, complemented
1172	C₂×#103	C₂²×C₆₇	1	1	yes	characteristic, complemented
1173	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic, complemented
1174	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic, complemented
1175	#408	C₂²×C₆₇	1	1	yes	characteristic, complemented
1176	#408	C₂²×C₆₇	1	1	yes	characteristic, complemented
1177	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1178	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1179	H(5,𝔽₂)	—	4	2	no	—
1180	H(5,𝔽₂)	—	4	2	no	—
1181	C₂×#41	—	2	1	no	—
1182	C₂×#41	—	2	1	no	—
1183	C₂×#41	—	2	1	no	—
1184	C₂×#41	—	2	1	no	—
1185	C₂×#41	—	4	2	no	—
1186	C₂×#41	—	4	2	no	—
1187	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1188	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1189	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1190	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1191	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1192	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1193	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1194	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1195	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
1196	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1197	C₂²×D₄	—	2	1	no	—
1198	C₂²×D₄	—	2	1	no	—
1199	C₂²×D₄	—	2	1	no	—
1200	C₂²×D₄	—	2	1	no	—
1201	C₂²×D₄	—	2	1	no	—
1202	C₂²×D₄	—	2	1	no	—
1203	C₂²×D₄	—	2	1	no	—
1204	C₂²×D₄	—	2	1	no	—
1205	C₂²×D₄	—	2	1	no	—
1206	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1207	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1208	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1209	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1210	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1211	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1212	C₂³×C₄	—	2	1	no	—
1213	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1214	AGL(1,ℤ/8)	—	4	2	no	—
1215	AGL(1,ℤ/8)	—	4	2	no	—
1216	#135	—	4	2	no	—
1217	#135	—	4	2	no	—
1218	#135	—	4	2	no	—
1219	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1220	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
1221	C₂×SD₁₆	—	4	2	no	—
1222	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1223	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1224	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1225	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1226	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1227	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1228	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1229	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1230	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1231	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
1232	C₂×D₈	—	4	2	no	—
1233	C₂×D₈	—	4	2	no	—
1234	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1235	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1236	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1237	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1238	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1239	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1240	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1241	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1242	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1243	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1244	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1245	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
1246	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1247	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
1248	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1249	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1250	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1251	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1252	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1253	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
1254	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1255	#127	—	2	1	no	—
1256	#127	—	2	1	no	—
1257	#127	—	2	1	no	—
1258	#127	—	2	1	no	—
1259	#127	C₂³×C₆₇	1	1	yes	characteristic
1260	#127	C₂³×C₆₇	1	1	yes	characteristic
1261	#127	C₂³×C₆₇	1	1	yes	characteristic
1262	#126	—	2	1	no	—
1263	#126	—	2	1	no	—
1264	#126	—	2	1	no	—
1265	#125	—	2	1	no	—
1266	#125	C₂³×C₆₇	1	1	yes	characteristic
1267	#124	—	2	1	no	—
1268	#124	—	2	1	no	—
1269	#124	—	2	1	no	—
1270	#124	—	2	1	no	—
1271	#124	—	2	1	no	—
1272	#124	—	2	1	no	—
1273	#124	C₂³×C₆₇	1	1	yes	characteristic
1274	#124	C₂³×C₆₇	1	1	yes	characteristic
1275	#124	C₂³×C₆₇	1	1	yes	characteristic
1276	#123	—	2	1	no	—
1277	#123	—	2	1	no	—
1278	#123	—	2	1	no	—
1279	#123	—	2	1	no	—
1280	#123	—	2	1	no	—
1281	#123	—	2	1	no	—
1282	#123	—	2	1	no	—
1283	#123	—	2	1	no	—
1284	#123	—	2	1	no	—
1285	#123	—	2	1	no	—
1286	#123	—	2	1	no	—
1287	#123	—	2	1	no	—
1288	#123	D₄×C₆₇	1	1	yes	characteristic
1289	#123	D₄×C₆₇	1	1	yes	characteristic
1290	C₂²⋊Q₈	—	2	1	no	—
1291	C₂²⋊Q₈	—	2	1	no	—
1292	C₂²⋊Q₈	—	2	1	no	—
1293	C₂²⋊Q₈	—	2	1	no	—
1294	C₂²⋊Q₈	—	2	1	no	—
1295	C₂²⋊Q₈	—	2	1	no	—
1296	C₂²⋊Q₈	D₄×C₆₇	1	1	yes	characteristic
1297	C₂²⋊Q₈	D₄×C₆₇	1	1	yes	characteristic
1298	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1299	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1300	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1301	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1302	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1303	#121	—	2	1	no	—
1304	#121	—	2	1	no	—
1305	#121	—	2	1	no	—
1306	#121	—	2	1	no	—
1307	#121	—	2	1	no	—
1308	#121	—	2	1	no	—
1309	#121	—	2	1	no	—
1310	#121	—	2	1	no	—
1311	#121	—	2	1	no	—
1312	#121	—	2	1	no	—
1313	#121	—	2	1	no	—
1314	#121	—	2	1	no	—
1315	#121	—	2	1	no	—
1316	#121	—	2	1	no	—
1317	#121	—	2	1	no	—
1318	#121	—	2	1	no	—
1319	#121	—	2	1	no	—
1320	#121	—	2	1	no	—
1321	#121	—	2	1	no	—
1322	#121	—	2	1	no	—
1323	#121	—	2	1	no	—
1324	#121	—	2	1	no	—
1325	#121	—	2	1	no	—
1326	#121	—	2	1	no	—
1327	#121	—	2	1	no	—
1328	#121	—	2	1	no	—
1329	#121	—	2	1	no	—
1330	#121	—	2	1	no	—
1331	#121	—	2	1	no	—
1332	#121	—	2	1	no	—
1333	#121	—	2	1	no	—
1334	#121	D₄×C₆₇	1	1	yes	characteristic
1335	#121	D₄×C₆₇	1	1	yes	characteristic
1336	#121	C₂³×C₆₇	1	1	yes	characteristic
1337	#121	C₂³×C₆₇	1	1	yes	characteristic
1338	#121	C₂³×C₆₇	1	1	yes	characteristic
1339	#121	C₂³×C₆₇	1	1	yes	characteristic
1340	#121	C₂³×C₆₇	1	1	yes	characteristic
1341	#121	C₂³×C₆₇	1	1	yes	characteristic
1342	#121	C₂³×C₆₇	1	1	yes	characteristic
1343	#121	C₂³×C₆₇	1	1	yes	characteristic
1344	#121	C₂³×C₆₇	1	1	yes	characteristic
1345	#121	C₂³×C₆₇	1	1	yes	characteristic
1346	#121	C₂³×C₆₇	1	1	yes	characteristic
1347	#121	C₂³×C₆₇	1	1	yes	characteristic
1348	#121	C₂³×C₆₇	1	1	yes	characteristic
1349	#121	C₂³×C₆₇	1	1	yes	characteristic
1350	#121	C₂³×C₆₇	1	1	yes	characteristic
1351	#120	—	2	1	no	—
1352	#120	—	2	1	no	—
1353	#120	—	2	1	no	—
1354	#120	—	2	1	no	—
1355	#120	—	2	1	no	—
1356	#120	—	2	1	no	—
1357	#120	—	2	1	no	—
1358	#120	—	2	1	no	—
1359	#120	—	2	1	no	—
1360	#120	—	2	1	no	—
1361	#120	—	2	1	no	—
1362	#120	—	2	1	no	—
1363	#120	—	2	1	no	—
1364	#120	—	2	1	no	—
1365	#120	—	2	1	no	—
1366	#120	D₄×C₆₇	1	1	yes	characteristic
1367	#120	D₄×C₆₇	1	1	yes	characteristic
1368	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1369	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1370	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1371	C₄×D₄	—	2	1	no	—
1372	C₄×D₄	—	2	1	no	—
1373	C₄×D₄	—	2	1	no	—
1374	C₄×D₄	—	2	1	no	—
1375	C₄×D₄	—	2	1	no	—
1376	C₄×D₄	—	2	1	no	—
1377	C₄×D₄	—	2	1	no	—
1378	C₄×D₄	—	2	1	no	—
1379	C₄×D₄	—	2	1	no	—
1380	C₄×D₄	—	2	1	no	—
1381	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1382	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1383	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1384	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1385	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1386	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1387	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1388	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1389	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
1390	#117	—	2	1	no	—
1391	#117	—	2	1	no	—
1392	#117	—	2	1	no	—
1393	#117	C₂³×C₆₇	1	1	yes	characteristic
1394	#117	C₂³×C₆₇	1	1	yes	characteristic
1395	#117	C₂³×C₆₇	1	1	yes	characteristic
1396	C₂×C₄⋊C₄	—	2	1	no	—
1397	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1398	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1399	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1400	C₂×C₂²⋊C₄	—	2	1	no	—
1401	C₂×C₂²⋊C₄	—	2	1	no	—
1402	C₂×C₂²⋊C₄	—	2	1	no	—
1403	C₂×C₂²⋊C₄	—	2	1	no	—
1404	C₂×C₂²⋊C₄	—	2	1	no	—
1405	C₂×C₂²⋊C₄	—	2	1	no	—
1406	#107	C₂³×C₆₇	1	1	yes	characteristic
1407	#107	C₂³×C₆₇	1	1	yes	characteristic
1408	#107	C₂³×C₆₇	1	1	yes	characteristic
1409	#107	C₂³×C₆₇	1	1	yes	characteristic
1410	#107	C₂³×C₆₇	1	1	yes	characteristic
1411	#107	C₂³×C₆₇	1	1	yes	characteristic
1412	#106	C₂³×C₆₇	1	1	yes	characteristic
1413	#106	C₂³×C₆₇	1	1	yes	characteristic
1414	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1415	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1416	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1417	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1418	#103	C₂³×C₆₇	1	1	yes	characteristic
1419	#103	C₂³×C₆₇	1	1	yes	characteristic
1420	#103	C₂³×C₆₇	1	1	yes	characteristic
1421	#103	C₂³×C₆₇	1	1	yes	characteristic
1422	#103	C₂³×C₆₇	1	1	yes	characteristic
1423	#103	C₂³×C₆₇	1	1	yes	characteristic
1424	#103	C₂³×C₆₇	1	1	yes	characteristic
1425	#103	C₂³×C₆₇	1	1	yes	characteristic
1426	#103	C₂³×C₆₇	1	1	yes	characteristic
1427	#103	C₂³×C₆₇	1	1	yes	characteristic
1428	#102	C₂³×C₆₇	1	1	yes	characteristic
1429	#102	C₂³×C₆₇	1	1	yes	characteristic
1430	#102	C₂³×C₆₇	1	1	yes	characteristic
1431	#102	C₂³×C₆₇	1	1	yes	characteristic
1432	#102	C₂³×C₆₇	1	1	yes	characteristic
1433	#102	C₂³×C₆₇	1	1	yes	characteristic
1434	#102	C₂³×C₆₇	1	1	yes	characteristic
1435	#102	C₂³×C₆₇	1	1	yes	characteristic
1436	#102	C₂³×C₆₇	1	1	yes	characteristic
1437	#102	C₂³×C₆₇	1	1	yes	characteristic
1438	#102	C₂³×C₆₇	1	1	yes	characteristic
1439	#102	C₂³×C₆₇	1	1	yes	characteristic
1440	#102	C₂³×C₆₇	1	1	yes	characteristic
1441	#102	C₂³×C₆₇	1	1	yes	characteristic
1442	#102	C₂³×C₆₇	1	1	yes	characteristic
1443	#102	C₂³×C₆₇	1	1	yes	characteristic
1444	#102	C₂³×C₆₇	1	1	yes	characteristic
1445	#102	C₂³×C₆₇	1	1	yes	characteristic
1446	#102	C₂³×C₆₇	1	1	yes	characteristic
1447	#102	C₂³×C₆₇	1	1	yes	characteristic
1448	#102	C₂³×C₆₇	1	1	yes	characteristic
1449	#102	C₂³×C₆₇	1	1	yes	characteristic
1450	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1451	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1452	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1453	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1454	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1455	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1456	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1457	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1458	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1459	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1460	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1461	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
1462	#97	C₂³×C₆₇	1	1	yes	characteristic
1463	#97	C₂³×C₆₇	1	1	yes	characteristic
1464	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1465	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
1466	C₂⁴	—	2	1	no	—
1467	C₂⁴	—	2	1	no	—
1468	C₂⁴	—	2	1	no	—
1469	C₂⁴	—	2	1	no	—
1470	C₂⁴	—	2	1	no	—
1471	C₂⁴	—	2	1	no	—
1472	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1473	#41	—	2	2	no	—
1474	#41	—	2	2	no	—
1475	#41	—	2	2	no	—
1476	#41	—	2	2	no	—
1477	#41	—	2	2	no	—
1478	#41	—	2	2	no	—
1479	#41	—	4	1	no	—
1480	#41	—	4	1	no	—
1481	#41	—	4	1	no	—
1482	#41	—	4	1	no	—
1483	#41	—	4	1	no	—
1484	#41	—	4	1	no	—
1485	#41	—	4	1	no	—
1486	#41	—	4	1	no	—
1487	#41	—	4	4	no	—
1488	#41	—	4	4	no	—
1489	#41	—	4	1	no	—
1490	#41	—	4	1	no	—
1491	#41	—	4	1	no	—
1492	#41	—	4	1	no	—
1493	#41	—	4	4	no	—
1494	#41	—	8	2	no	—
1495	C₂×Q₈	—	2	1	no	—
1496	C₂×Q₈	—	2	1	no	—
1497	C₂×Q₈	—	2	2	no	—
1498	C₂×Q₈	—	4	1	no	—
1499	C₂×Q₈	C₂×D₄×C₆₇	1	1	yes	characteristic
1500	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1501	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1502	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	2	no	—
1505	C₂×D₄	—	2	2	no	—
1506	C₂×D₄	—	2	2	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	2	1	no	—
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	2	1	no	—
1516	C₂×D₄	—	2	1	no	—
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	2	1	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	2	1	no	—
1522	C₂×D₄	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	2	1	no	—
1526	C₂×D₄	—	2	1	no	—
1527	C₂×D₄	—	2	1	no	—
1528	C₂×D₄	—	2	1	no	—
1529	C₂×D₄	—	2	1	no	—
1530	C₂×D₄	—	2	1	no	—
1531	C₂×D₄	—	2	1	no	—
1532	C₂×D₄	—	2	1	no	—
1533	C₂×D₄	—	2	1	no	—
1534	C₂×D₄	—	2	1	no	—
1535	C₂×D₄	—	2	1	no	—
1536	C₂×D₄	—	2	1	no	—
1537	C₂×D₄	—	2	1	no	—
1538	C₂×D₄	—	2	1	no	—
1539	C₂×D₄	—	2	1	no	—
1540	C₂×D₄	—	2	1	no	—
1541	C₂×D₄	—	4	1	no	—
1542	C₂×D₄	—	4	1	no	—
1543	C₂×D₄	—	4	1	no	—
1544	C₂×D₄	—	4	1	no	—
1545	C₂×D₄	—	4	1	no	—
1546	C₂×D₄	—	4	1	no	—
1547	C₂×D₄	—	4	1	no	—
1548	C₂×D₄	—	4	1	no	—
1549	C₂×D₄	—	4	1	no	—
1550	C₂×D₄	—	4	4	no	—
1551	C₂×D₄	—	4	4	no	—
1552	C₂×D₄	—	4	4	no	—
1553	C₂×D₄	—	4	4	no	—
1554	C₂×D₄	—	8	2	no	—
1555	C₂×D₄	—	8	2	no	—
1556	C₂×D₄	—	8	2	no	—
1557	C₂×D₄	—	8	2	no	—
1558	C₂×D₄	—	8	2	no	—
1559	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1560	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1561	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1562	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1563	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1564	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1565	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1566	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1567	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1568	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1569	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1570	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1571	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1572	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1573	C₂²×C₄	—	2	1	no	—
1574	C₂²×C₄	—	2	1	no	—
1575	C₂²×C₄	—	2	1	no	—
1576	C₂²×C₄	—	2	1	no	—
1577	C₂²×C₄	—	2	1	no	—
1578	C₂²×C₄	—	2	1	no	—
1579	C₂²×C₄	—	2	1	no	—
1580	C₂²×C₄	—	2	1	no	—
1581	C₂²×C₄	—	2	1	no	—
1582	C₂²×C₄	—	2	1	no	—
1583	C₂²×C₄	—	2	1	no	—
1584	C₂²×C₄	—	2	1	no	—
1585	C₂²×C₄	—	2	1	no	—
1586	C₂²×C₄	—	2	1	no	—
1587	C₂²×C₄	—	2	1	no	—
1588	C₂²×C₄	—	2	1	no	—
1589	C₂²×C₄	—	2	1	no	—
1590	C₂²×C₄	—	4	1	no	—
1591	C₂²×C₄	—	4	1	no	—
1592	C₂²×C₄	—	4	4	no	—
1593	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1594	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1595	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1596	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1597	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1598	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1599	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1600	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1601	Q₁₆	—	2	2	no	—
1602	Q₁₆	—	4	1	no	—
1603	SD₁₆	—	2	2	no	—
1604	SD₁₆	—	2	2	no	—
1605	SD₁₆	—	2	2	no	—
1606	SD₁₆	—	2	2	no	—
1607	SD₁₆	—	4	1	no	—
1608	SD₁₆	—	4	1	no	—
1609	SD₁₆	—	4	1	no	—
1610	SD₁₆	—	4	1	no	—
1611	SD₁₆	—	4	1	no	—
1612	SD₁₆	—	4	1	no	—
1613	D₈	—	2	2	no	—
1614	D₈	—	2	2	no	—
1615	D₈	—	2	2	no	—
1616	D₈	—	4	1	no	—
1617	D₈	—	4	1	no	—
1618	D₈	—	4	1	no	—
1619	D₈	—	4	1	no	—
1620	D₈	—	4	1	no	—
1621	D₈	—	4	1	no	—
1622	D₈	—	4	1	no	—
1623	D₈	—	4	1	no	—
1624	D₈	—	4	1	no	—
1625	M₁₆	—	4	1	no	—
1626	M₁₆	—	4	1	no	—
1627	C₂×C₈	—	4	1	no	—
1628	C₂×C₈	—	4	1	no	—
1629	C₂×C₈	—	4	1	no	—
1630	C₂×C₈	—	4	1	no	—
1631	C₂×C₈	—	4	1	no	—
1632	C₂×C₈	—	4	1	no	—
1633	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1634	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1635	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1636	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1637	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1638	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1639	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1640	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
1641	C₄⋊C₄	—	2	1	no	—
1642	C₄⋊C₄	—	2	1	no	—
1643	C₄⋊C₄	—	2	1	no	—
1644	C₄⋊C₄	—	2	1	no	—
1645	C₄⋊C₄	—	2	1	no	—
1646	C₄⋊C₄	—	2	1	no	—
1647	C₄⋊C₄	—	2	1	no	—
1648	C₄⋊C₄	—	2	1	no	—
1649	C₄⋊C₄	—	2	1	no	—
1650	C₄⋊C₄	—	2	1	no	—
1651	C₄⋊C₄	—	2	1	no	—
1652	C₄⋊C₄	—	2	1	no	—
1653	C₄⋊C₄	—	2	1	no	—
1654	C₄⋊C₄	—	2	1	no	—
1655	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1656	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1657	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1658	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1659	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1660	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1661	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1662	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1663	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1664	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1665	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1666	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	2	1	no	—
1676	C₂²⋊C₄	—	2	1	no	—
1677	C₂²⋊C₄	—	2	1	no	—
1678	C₂²⋊C₄	—	2	1	no	—
1679	C₂²⋊C₄	—	2	1	no	—
1680	C₂²⋊C₄	—	2	1	no	—
1681	C₂²⋊C₄	—	2	1	no	—
1682	C₂²⋊C₄	—	2	1	no	—
1683	C₂²⋊C₄	—	2	1	no	—
1684	C₂²⋊C₄	—	2	1	no	—
1685	C₂²⋊C₄	—	2	1	no	—
1686	C₂²⋊C₄	—	2	1	no	—
1687	C₂²⋊C₄	—	2	1	no	—
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	2	1	no	—
1691	C₂²⋊C₄	—	2	1	no	—
1692	C₂²⋊C₄	—	2	1	no	—
1693	C₂²⋊C₄	—	2	1	no	—
1694	C₂²⋊C₄	—	2	1	no	—
1695	C₂²⋊C₄	—	2	1	no	—
1696	C₂²⋊C₄	—	2	1	no	—
1697	C₂²⋊C₄	—	2	1	no	—
1698	C₂²⋊C₄	—	2	1	no	—
1699	C₂²⋊C₄	—	2	1	no	—
1700	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1701	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1702	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1710	C₄²	—	2	1	no	—
1711	C₄²	—	2	1	no	—
1712	C₄²	—	2	1	no	—
1713	C₄²	—	2	1	no	—
1714	C₄²	—	2	1	no	—
1715	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1716	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1717	C₂³	—	2	1	no	—
1718	C₂³	—	2	2	no	—
1719	C₂³	—	2	1	no	—
1720	C₂³	—	2	1	no	—
1721	C₂³	—	2	1	no	—
1722	C₂³	—	2	1	no	—
1723	C₂³	—	2	1	no	—
1724	C₂³	—	2	1	no	—
1725	C₂³	—	4	1	no	—
1726	C₂³	—	4	1	no	—
1727	C₂³	—	4	2	no	—
1728	C₂³	—	4	2	no	—
1729	C₂³	—	4	2	no	—
1730	C₂³	—	4	2	no	—
1731	C₂³	—	4	2	no	—
1732	C₂³	—	4	2	no	—
1733	C₂³	—	8	1	no	—
1734	C₂³	—	8	1	no	—
1735	C₂³	—	8	1	no	—
1736	C₂³	—	8	1	no	—
1737	C₂³	—	8	1	no	—
1738	C₂³	—	8	1	no	—
1739	C₂³	—	8	1	no	—
1740	C₂³	—	8	1	no	—
1741	C₂³	—	8	1	no	—
1742	C₂³	—	8	1	no	—
1743	C₂³	—	8	1	no	—
1744	C₂³	—	8	1	no	—
1745	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1746	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1747	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1748	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1749	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	2	1	no	—
1755	Q₈	—	4	1	no	—
1756	Q₈	—	4	2	no	—
1757	Q₈	—	8	1	no	—
1758	Q₈	H(5,𝔽₂)×C₆₇	1	2	yes	—
1759	D₄	—	2	4	no	—
1760	D₄	—	2	2	no	—
1761	D₄	—	2	2	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	2	1	no	—
1767	D₄	—	2	1	no	—
1768	D₄	—	2	1	no	—
1769	D₄	—	2	1	no	—
1770	D₄	—	2	1	no	—
1771	D₄	—	2	1	no	—
1772	D₄	—	2	1	no	—
1773	D₄	—	2	1	no	—
1774	D₄	—	2	1	no	—
1775	D₄	—	4	1	no	—
1776	D₄	—	4	1	no	—
1777	D₄	—	4	1	no	—
1778	D₄	—	4	1	no	—
1779	D₄	—	4	1	no	—
1780	D₄	—	4	2	no	—
1781	D₄	—	4	2	no	—
1782	D₄	—	4	2	no	—
1783	D₄	—	4	2	no	—
1784	D₄	—	4	2	no	—
1785	D₄	—	4	2	no	—
1786	D₄	—	4	2	no	—
1787	D₄	—	4	2	no	—
1788	D₄	—	4	2	no	—
1789	D₄	—	4	2	no	—
1790	D₄	—	4	2	no	—
1791	D₄	—	4	2	no	—
1792	D₄	—	8	1	no	—
1793	D₄	—	8	1	no	—
1794	D₄	—	8	1	no	—
1795	D₄	—	8	1	no	—
1796	D₄	—	8	1	no	—
1797	D₄	—	8	1	no	—
1798	D₄	—	8	1	no	—
1799	D₄	—	8	1	no	—
1800	D₄	—	8	1	no	—
1801	D₄	—	8	1	no	—
1802	D₄	—	8	1	no	—
1803	D₄	—	8	1	no	—
1804	D₄	—	8	1	no	—
1805	D₄	—	8	1	no	—
1806	D₄	—	8	1	no	—
1807	D₄	—	8	1	no	—
1808	D₄	—	8	1	no	—
1809	D₄	—	8	1	no	—
1810	D₄	—	8	1	no	—
1811	D₄	—	8	1	no	—
1812	D₄	—	8	1	no	—
1813	D₄	—	8	1	no	—
1814	D₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1815	C₂×C₄	—	2	4	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	2	1	no	—
1819	C₂×C₄	—	2	1	no	—
1820	C₂×C₄	—	2	1	no	—
1821	C₂×C₄	—	2	1	no	—
1822	C₂×C₄	—	2	1	no	—
1823	C₂×C₄	—	2	1	no	—
1824	C₂×C₄	—	2	1	no	—
1825	C₂×C₄	—	2	1	no	—
1826	C₂×C₄	—	2	1	no	—
1827	C₂×C₄	—	2	1	no	—
1828	C₂×C₄	—	2	1	no	—
1829	C₂×C₄	—	2	1	no	—
1830	C₂×C₄	—	2	1	no	—
1831	C₂×C₄	—	2	1	no	—
1832	C₂×C₄	—	2	1	no	—
1833	C₂×C₄	—	2	1	no	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	4	1	no	—
1836	C₂×C₄	—	4	1	no	—
1837	C₂×C₄	—	4	1	no	—
1838	C₂×C₄	—	4	2	no	—
1839	C₂×C₄	—	4	2	no	—
1840	C₂×C₄	—	4	2	no	—
1841	C₂×C₄	—	4	2	no	—
1842	C₂×C₄	—	4	2	no	—
1843	C₂×C₄	—	4	2	no	—
1844	C₂×C₄	—	4	2	no	—
1845	C₂×C₄	—	8	1	no	—
1846	C₂×C₄	—	8	1	no	—
1847	C₂×C₄	—	8	1	no	—
1848	C₂×C₄	—	8	1	no	—
1849	C₂×C₄	—	8	1	no	—
1850	C₂×C₄	—	8	1	no	—
1851	C₂×C₄	—	8	1	no	—
1852	C₂×C₄	—	8	1	no	—
1853	C₂×C₄	—	8	1	no	—
1854	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1855	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1856	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1857	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1858	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1859	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1860	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1861	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1862	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1863	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	2	1	no	—
1869	C₈	—	2	1	no	—
1870	C₈	—	2	1	no	—
1871	C₈	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	2	no	—
1884	C₂²	—	2	1	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	4	1	no	—
1888	C₂²	—	4	1	no	—
1889	C₂²	—	4	1	no	—
1890	C₂²	—	4	1	no	—
1891	C₂²	—	4	1	no	—
1892	C₂²	—	4	1	no	—
1893	C₂²	—	4	1	no	—
1894	C₂²	—	4	1	no	—
1895	C₂²	—	4	1	no	—
1896	C₂²	—	4	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	4	1	no	—
1907	C₂²	—	8	2	no	—
1908	C₂²	—	8	4	no	—
1909	C₂²	—	16	2	no	—
1910	C₂²	—	16	2	no	—
1911	C₂²	—	16	2	no	—
1912	C₂²	—	16	2	no	—
1913	C₂²	—	16	2	no	—
1914	C₂²	#576×C₆₇	1	2	yes	—
1915	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1916	C₄	—	2	1	no	—
1917	C₄	—	2	1	no	—
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	2	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	4	1	no	—
1927	C₄	—	4	1	no	—
1928	C₄	—	4	1	no	—
1929	C₄	—	4	1	no	—
1930	C₄	—	4	1	no	—
1931	C₄	—	4	1	no	—
1932	C₄	—	4	1	no	—
1933	C₄	—	4	1	no	—
1934	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1935	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1936	C₂	—	2	2	no	—
1937	C₂	—	4	1	no	—
1938	C₂	—	4	1	no	—
1939	C₂	—	4	1	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	2	no	—
1942	C₂	—	8	1	no	—
1943	C₂	—	8	1	no	—
1944	C₂	—	8	1	no	—
1945	C₂	—	8	1	no	—
1946	C₂	—	8	1	no	—
1947	C₂	—	8	1	no	—
1948	C₂	C₆₇×#3484	1	1	yes	characteristic
1949	C₂	C₂×#576×C₆₇	1	1	yes	characteristic
1950	C₂	C₆₇×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₇ ◁ #525×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3542	C₂	semidirect
2. C₆₇×#3488	C₂	semidirect
3. C₆₇×#3319	C₂	semidirect
4. C₆₇×#3310	C₂	semidirect
5. C₆₇×#3309	C₂	semidirect
6. C₆₇×#3308	C₂	semidirect
7. C₆₇×#3305	C₂	semidirect
8. C₆₇×#3300	C₂	semidirect
9. C₆₇×#3297	C₂	semidirect
10. C₆₇×#3294	C₂	semidirect
11. C₆₇×#3287	C₂	semidirect
12. C₆₇×#3282	C₂	semidirect
13. C₆₇×#3280	C₂	semidirect
14. D₄×D₈×C₆₇	C₂	semidirect
15. C₆₇×#3268	C₂	semidirect
16. C₆₇×#3268	C₂	semidirect
17. C₆₇×#3265	C₂	semidirect
18. C₆₇×#3264	C₂	semidirect
19. C₆₇×#3224	C₂	semidirect
20. C₆₇×#3220	C₂	semidirect
21. C₆₇×#3203	C₂	semidirect
22. C₆₇×#3198	C₂	semidirect
23. C₆₇×#3188	C₂	semidirect
24. C₆₇×#3186	C₂	semidirect
25. C₆₇×#3124	C₂	semidirect
26. C₆₇×#3119	C₂	semidirect
27. C₆₇×#3012	C₂	semidirect
28. C₆₇×#3008	C₂	semidirect
29. C₆₇×#3002	C₂	semidirect
30. C₂×#449×C₆₇	C₂	semidirect
31. C₆₇×#2977	C₂	semidirect
32. C₂×H(5,𝔽₂)×C₆₇	C₂²	semidirect
33. C₂²×#41×C₆₇	C₂²	semidirect
34. C₂×AGL(1,ℤ/8)×C₆₇	C₂²	semidirect
35. C₂×AGL(1,ℤ/8)×C₆₇	C₂²	semidirect
36. C₂×#135×C₆₇	C₂²	semidirect
37. C₂×#135×C₆₇	C₂²	semidirect
38. C₂×#135×C₆₇	C₂²	semidirect
39. C₂²×SD₁₆×C₆₇	C₂²	semidirect
40. C₂²×D₈×C₆₇	C₂²	semidirect
41. C₂²×D₈×C₆₇	C₂²	semidirect
44. #555×C₆₇	C₂²	semidirect
45. #553×C₆₇	C₂²	semidirect
46. #552×C₆₇	C₂²	semidirect
48. #550×C₆₇	C₂²	semidirect
49. #550×C₆₇	C₂²	semidirect
50. #550×C₆₇	C₂²	semidirect
52. #548×C₆₇	C₂²	semidirect
53. #547×C₆₇	C₂²	semidirect
57. #546×C₆₇	C₂²	semidirect
58. #546×C₆₇	C₂²	semidirect
59. #546×C₆₇	C₂²	semidirect
60. #546×C₆₇	C₂²	semidirect
64. D₄²×C₆₇	C₂²	semidirect
65. D₄²×C₆₇	C₂²	semidirect
66. #542×C₆₇	C₂²	semidirect
68. #540×C₆₇	C₂²	semidirect
71. #537×C₆₇	C₂²	semidirect
72. #537×C₆₇	C₂²	semidirect
75. #535×C₆₇	C₂²	semidirect
76. #535×C₆₇	C₂²	semidirect
80. #525×C₆₇	C₂²	semidirect
82. C₂×#121×C₆₇	C₂²	semidirect
83. C₂×#121×C₆₇	C₂²	semidirect
84. #520×C₆₇	C₂²	semidirect
85. #496×C₆₇	C₂²	semidirect
86. #496×C₆₇	C₂²	semidirect
87. #495×C₆₇	C₂²	semidirect
88. #493×C₆₇	C₂²	semidirect
89. #490×C₆₇	C₂²	semidirect
90. #489×C₆₇	C₂²	semidirect
91. #488×C₆₇	C₂²	semidirect
92. #486×C₆₇	C₂²	semidirect
93. #485×C₆₇	C₂²	semidirect
94. #484×C₆₇	C₂²	semidirect
95. #484×C₆₇	C₂²	semidirect
96. #482×C₆₇	C₂²	semidirect
97. #482×C₆₇	C₂²	semidirect
98. #482×C₆₇	C₂²	semidirect
99. #481×C₆₇	C₂²	semidirect
100. #480×C₆₇	C₂²	semidirect
101. #480×C₆₇	C₂²	semidirect
102. #480×C₆₇	C₂²	semidirect
103. #480×C₆₇	C₂²	semidirect
104. #480×C₆₇	C₂²	semidirect
105. #479×C₆₇	C₂²	semidirect
106. #478×C₆₇	C₂²	semidirect
107. #477×C₆₇	C₂²	semidirect
108. #474×C₆₇	C₂²	semidirect
109. #469×C₆₇	C₂²	semidirect
110. #468×C₆₇	C₂²	semidirect
111. #468×C₆₇	C₂²	semidirect
112. #468×C₆₇	C₂²	semidirect
113. #467×C₆₇	C₂²	semidirect
114. #466×C₆₇	C₂²	semidirect
115. #466×C₆₇	C₂²	semidirect
116. #466×C₆₇	C₂²	semidirect
117. #466×C₆₇	C₂²	semidirect
118. #466×C₆₇	C₂²	semidirect
119. #466×C₆₇	C₂²	semidirect
120. #466×C₆₇	C₂²	semidirect
121. #466×C₆₇	C₂²	semidirect
122. #465×C₆₇	C₂²	semidirect
123. #465×C₆₇	C₂²	semidirect
124. #465×C₆₇	C₂²	semidirect
125. #464×C₆₇	C₂²	semidirect
126. #464×C₆₇	C₂²	semidirect
127. #463×C₆₇	C₂²	semidirect
128. #463×C₆₇	C₂²	semidirect
129. #463×C₆₇	C₂²	semidirect
130. #463×C₆₇	C₂²	semidirect
131. #460×C₆₇	C₂²	semidirect
132. #460×C₆₇	C₂²	semidirect
133. #459×C₆₇	C₂²	semidirect
134. #459×C₆₇	C₂²	semidirect
135. #459×C₆₇	C₂²	semidirect
136. #459×C₆₇	C₂²	semidirect
137. #452×C₆₇	C₂²	semidirect
138. #452×C₆₇	C₂²	semidirect
139. #452×C₆₇	C₂²	semidirect
140. #452×C₆₇	C₂²	semidirect
141. #451×C₆₇	C₂²	semidirect
142. #450×C₆₇	C₂²	semidirect
143. #450×C₆₇	C₂²	semidirect
144. #450×C₆₇	C₂²	semidirect
145. #450×C₆₇	C₂²	semidirect
147. #449×C₆₇	C₂²	semidirect
148. #449×C₆₇	C₂²	semidirect
149. #449×C₆₇	C₂²	semidirect
150. #449×C₆₇	C₂²	semidirect
151. #449×C₆₇	C₂²	semidirect
152. #449×C₆₇	C₂²	semidirect
153. #449×C₆₇	C₂²	semidirect
154. #449×C₆₇	C₂²	semidirect
155. #449×C₆₇	C₂²	semidirect
156. #449×C₆₇	C₂²	semidirect
157. #449×C₆₇	C₂²	semidirect
158. #449×C₆₇	C₂²	semidirect
159. #449×C₆₇	C₂²	semidirect
160. #449×C₆₇	C₂²	semidirect
161. #449×C₆₇	C₂²	semidirect
162. #448×C₆₇	C₂²	semidirect
163. #447×C₆₇	C₂²	semidirect
164. #447×C₆₇	C₂²	semidirect
165. #447×C₆₇	C₂²	semidirect
166. #447×C₆₇	C₂²	semidirect
167. #447×C₆₇	C₂²	semidirect
168. #447×C₆₇	C₂²	semidirect
169. #447×C₆₇	C₂²	semidirect
170. #447×C₆₇	C₂²	semidirect
171. #447×C₆₇	C₂²	semidirect
172. #447×C₆₇	C₂²	semidirect
173. #442×C₆₇	C₂²	semidirect
174. #440×C₆₇	C₂²	semidirect
175. #440×C₆₇	C₂²	semidirect
176. #440×C₆₇	C₂²	semidirect
177. C₄×Q₁₆×C₆₇	C₂²	semidirect
178. C₄×SD₁₆×C₆₇	C₂²	semidirect
179. C₄×D₈×C₆₇	C₂²	semidirect
180. C₄×D₈×C₆₇	C₂²	semidirect
181. #435×C₆₇	C₂²	semidirect
182. #435×C₆₇	C₂²	semidirect
183. #435×C₆₇	C₂²	semidirect
184. #435×C₆₇	C₂²	semidirect
185. C₈×D₄×C₆₇	C₂²	semidirect
186. C₈×D₄×C₆₇	C₂²	semidirect
187. C₈×D₄×C₆₇	C₂²	semidirect
188. C₈×D₄×C₆₇	C₂²	semidirect
189. #433×C₆₇	C₂²	semidirect
190. #433×C₆₇	C₂²	semidirect
191. #418×C₆₇	C₂²	semidirect
192. #417×C₆₇	C₂²	semidirect
193. #416×C₆₇	C₂²	semidirect
194. #416×C₆₇	C₂²	semidirect
195. #416×C₆₇	C₂²	semidirect
196. C₂×#103×C₆₇	C₂²	semidirect
197. C₂×#102×C₆₇	C₂²	semidirect
198. C₂×#102×C₆₇	C₂²	semidirect
199. #408×C₆₇	C₂²	semidirect
200. #408×C₆₇	C₂²	semidirect
201. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
202. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
960. #61639	C₆₇	direct (N × H)
976. #3542	C₂×C₆₇	semidirect
977. #3488	C₂×C₆₇	semidirect
978. #3319	C₂×C₆₇	semidirect
979. #3310	C₂×C₆₇	semidirect
980. #3309	C₂×C₆₇	semidirect
981. #3308	C₂×C₆₇	semidirect
982. #3305	C₂×C₆₇	semidirect
983. #3300	C₂×C₆₇	semidirect
984. #3297	C₂×C₆₇	semidirect
985. #3294	C₂×C₆₇	semidirect
986. #3287	C₂×C₆₇	semidirect
987. #3282	C₂×C₆₇	semidirect
988. #3280	C₂×C₆₇	semidirect
989. D₄×D₈	C₂×C₆₇	semidirect
990. #3268	C₂×C₆₇	semidirect
991. #3268	C₂×C₆₇	semidirect
992. #3265	C₂×C₆₇	semidirect
993. #3264	C₂×C₆₇	semidirect
994. #3224	C₂×C₆₇	semidirect
995. #3220	C₂×C₆₇	semidirect
996. #3203	C₂×C₆₇	semidirect
997. #3198	C₂×C₆₇	semidirect
998. #3188	C₂×C₆₇	semidirect
999. #3186	C₂×C₆₇	semidirect
1000. #3124	C₂×C₆₇	semidirect
1001. #3119	C₂×C₆₇	semidirect
1002. #3012	C₂×C₆₇	semidirect
1003. #3008	C₂×C₆₇	semidirect
1004. #3002	C₂×C₆₇	semidirect
1005. C₂×#449	C₂×C₆₇	semidirect
1006. #2977	C₂×C₆₇	semidirect
1007. C₆₇	#61639	direct (N × H)
1008. C₂×H(5,𝔽₂)	C₂²×C₆₇	semidirect
1009. C₂²×#41	C₂²×C₆₇	semidirect
1010. C₂×AGL(1,ℤ/8)	C₂²×C₆₇	semidirect
1011. C₂×AGL(1,ℤ/8)	C₂²×C₆₇	semidirect
1012. C₂×#135	C₂²×C₆₇	semidirect
1013. C₂×#135	C₂²×C₆₇	semidirect
1014. C₂×#135	C₂²×C₆₇	semidirect
1015. C₂²×SD₁₆	C₂²×C₆₇	semidirect
1016. C₂²×D₈	C₂²×C₆₇	semidirect
1017. C₂²×D₈	C₂²×C₆₇	semidirect
1020. #555	C₂²×C₆₇	semidirect
1021. #553	C₂²×C₆₇	semidirect
1022. #552	C₂²×C₆₇	semidirect
1024. #550	C₂²×C₆₇	semidirect
1025. #550	C₂²×C₆₇	semidirect
1026. #550	C₂²×C₆₇	semidirect
1028. #548	C₂²×C₆₇	semidirect
1029. #547	C₂²×C₆₇	semidirect
1033. #546	C₂²×C₆₇	semidirect
1034. #546	C₂²×C₆₇	semidirect
1035. #546	C₂²×C₆₇	semidirect
1036. #546	C₂²×C₆₇	semidirect
1040. D₄²	C₂²×C₆₇	semidirect
1041. D₄²	C₂²×C₆₇	semidirect
1042. #542	C₂²×C₆₇	semidirect
1044. #540	C₂²×C₆₇	semidirect
1047. #537	C₂²×C₆₇	semidirect
1048. #537	C₂²×C₆₇	semidirect
1051. #535	C₂²×C₆₇	semidirect
1052. #535	C₂²×C₆₇	semidirect
1056. #525	C₂²×C₆₇	semidirect
1058. C₂×#121	C₂²×C₆₇	semidirect
1059. C₂×#121	C₂²×C₆₇	semidirect
1060. #520	C₂²×C₆₇	semidirect
1061. #496	C₂²×C₆₇	semidirect
1062. #496	C₂²×C₆₇	semidirect
1063. #495	C₂²×C₆₇	semidirect
1064. #493	C₂²×C₆₇	semidirect
1065. #490	C₂²×C₆₇	semidirect
1066. #489	C₂²×C₆₇	semidirect
1067. #488	C₂²×C₆₇	semidirect
1068. #486	C₂²×C₆₇	semidirect
1069. #485	C₂²×C₆₇	semidirect
1070. #484	C₂²×C₆₇	semidirect
1071. #484	C₂²×C₆₇	semidirect
1072. #482	C₂²×C₆₇	semidirect
1073. #482	C₂²×C₆₇	semidirect
1074. #482	C₂²×C₆₇	semidirect
1075. #481	C₂²×C₆₇	semidirect
1076. #480	C₂²×C₆₇	semidirect
1077. #480	C₂²×C₆₇	semidirect
1078. #480	C₂²×C₆₇	semidirect
1079. #480	C₂²×C₆₇	semidirect
1080. #480	C₂²×C₆₇	semidirect
1081. #479	C₂²×C₆₇	semidirect
1082. #478	C₂²×C₆₇	semidirect
1083. #477	C₂²×C₆₇	semidirect
1084. #474	C₂²×C₆₇	semidirect
1085. #469	C₂²×C₆₇	semidirect
1086. #468	C₂²×C₆₇	semidirect
1087. #468	C₂²×C₆₇	semidirect
1088. #468	C₂²×C₆₇	semidirect
1089. #467	C₂²×C₆₇	semidirect
1090. #466	C₂²×C₆₇	semidirect
1091. #466	C₂²×C₆₇	semidirect
1092. #466	C₂²×C₆₇	semidirect
1093. #466	C₂²×C₆₇	semidirect
1094. #466	C₂²×C₆₇	semidirect
1095. #466	C₂²×C₆₇	semidirect
1096. #466	C₂²×C₆₇	semidirect
1097. #466	C₂²×C₆₇	semidirect
1098. #465	C₂²×C₆₇	semidirect
1099. #465	C₂²×C₆₇	semidirect
1100. #465	C₂²×C₆₇	semidirect
1101. #464	C₂²×C₆₇	semidirect
1102. #464	C₂²×C₆₇	semidirect
1103. #463	C₂²×C₆₇	semidirect
1104. #463	C₂²×C₆₇	semidirect
1105. #463	C₂²×C₆₇	semidirect
1106. #463	C₂²×C₆₇	semidirect
1107. #460	C₂²×C₆₇	semidirect
1108. #460	C₂²×C₆₇	semidirect
1109. #459	C₂²×C₆₇	semidirect
1110. #459	C₂²×C₆₇	semidirect
1111. #459	C₂²×C₆₇	semidirect
1112. #459	C₂²×C₆₇	semidirect
1113. #452	C₂²×C₆₇	semidirect
1114. #452	C₂²×C₆₇	semidirect
1115. #452	C₂²×C₆₇	semidirect
1116. #452	C₂²×C₆₇	semidirect
1117. #451	C₂²×C₆₇	semidirect
1118. #450	C₂²×C₆₇	semidirect
1119. #450	C₂²×C₆₇	semidirect
1120. #450	C₂²×C₆₇	semidirect
1121. #450	C₂²×C₆₇	semidirect
1123. #449	C₂²×C₆₇	semidirect
1124. #449	C₂²×C₆₇	semidirect
1125. #449	C₂²×C₆₇	semidirect
1126. #449	C₂²×C₆₇	semidirect
1127. #449	C₂²×C₆₇	semidirect
1128. #449	C₂²×C₆₇	semidirect
1129. #449	C₂²×C₆₇	semidirect
1130. #449	C₂²×C₆₇	semidirect
1131. #449	C₂²×C₆₇	semidirect
1132. #449	C₂²×C₆₇	semidirect
1133. #449	C₂²×C₆₇	semidirect
1134. #449	C₂²×C₆₇	semidirect
1135. #449	C₂²×C₆₇	semidirect
1136. #449	C₂²×C₆₇	semidirect
1137. #449	C₂²×C₆₇	semidirect
1138. #448	C₂²×C₆₇	semidirect
1139. #447	C₂²×C₆₇	semidirect
1140. #447	C₂²×C₆₇	semidirect
1141. #447	C₂²×C₆₇	semidirect
1142. #447	C₂²×C₆₇	semidirect
1143. #447	C₂²×C₆₇	semidirect
1144. #447	C₂²×C₆₇	semidirect
1145. #447	C₂²×C₆₇	semidirect
1146. #447	C₂²×C₆₇	semidirect
1147. #447	C₂²×C₆₇	semidirect
1148. #447	C₂²×C₆₇	semidirect
1149. #442	C₂²×C₆₇	semidirect
1150. #440	C₂²×C₆₇	semidirect
1151. #440	C₂²×C₆₇	semidirect
1152. #440	C₂²×C₆₇	semidirect
1153. C₄×Q₁₆	C₂²×C₆₇	semidirect
1154. C₄×SD₁₆	C₂²×C₆₇	semidirect
1155. C₄×D₈	C₂²×C₆₇	semidirect
1156. C₄×D₈	C₂²×C₆₇	semidirect
1157. #435	C₂²×C₆₇	semidirect
1158. #435	C₂²×C₆₇	semidirect
1159. #435	C₂²×C₆₇	semidirect
1160. #435	C₂²×C₆₇	semidirect
1161. C₈×D₄	C₂²×C₆₇	semidirect
1162. C₈×D₄	C₂²×C₆₇	semidirect
1163. C₈×D₄	C₂²×C₆₇	semidirect
1164. C₈×D₄	C₂²×C₆₇	semidirect
1165. #433	C₂²×C₆₇	semidirect
1166. #433	C₂²×C₆₇	semidirect
1167. #418	C₂²×C₆₇	semidirect
1168. #417	C₂²×C₆₇	semidirect
1169. #416	C₂²×C₆₇	semidirect
1170. #416	C₂²×C₆₇	semidirect
1171. #416	C₂²×C₆₇	semidirect
1172. C₂×#103	C₂²×C₆₇	semidirect
1173. C₂×#102	C₂²×C₆₇	semidirect
1174. C₂×#102	C₂²×C₆₇	semidirect
1175. #408	C₂²×C₆₇	semidirect
1176. #408	C₂²×C₆₇	semidirect
1177. C₂×C₂²⋊C₈	C₂²×C₆₇	semidirect
1178. C₂×C₂²⋊C₈	C₂²×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₆₇×#3542	2
C₆₇×#3488	2
C₆₇×#3319	2
C₆₇×#3310	2
C₆₇×#3309	2
C₆₇×#3308	2
C₆₇×#3305	2
C₆₇×#3300	2
C₆₇×#3297	2
C₆₇×#3294	2
C₆₇×#3287	2
C₆₇×#3282	2
C₆₇×#3280	2
D₄×D₈×C₆₇	2
C₆₇×#3268	2
C₆₇×#3265	2
C₆₇×#3264	2
C₆₇×#3224	2
C₆₇×#3220	2
C₆₇×#3203	2
C₆₇×#3198	2
C₆₇×#3188	2
C₆₇×#3186	2
C₆₇×#3124	2
C₆₇×#3119	2
C₆₇×#3012	2
C₆₇×#3008	2
C₆₇×#3002	2
C₂×#449×C₆₇	2
C₆₇×#2977	2
#61639	67

Subgroups — C67×#61639 #30740890

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#61639 #30740890