Subgroups — C₆₇×#62830 #30742081

Order 17152.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3562	C₂	1	4	yes	maximal, complemented
2	C₆₇×#3560	C₂	1	4	yes	maximal, complemented
3	C₆₇×#3552	C₂	1	2	yes	maximal, complemented
4	C₆₇×#3551	C₂	1	4	yes	maximal, complemented
5	C₆₇×#3547	C₂	1	2	yes	maximal, complemented
6	C₆₇×#3546	C₂	1	2	yes	maximal, complemented
7	C₆₇×#3543	C₂	1	2	yes	maximal, complemented
8	C₆₇×#3534	C₂	1	4	yes	maximal, complemented
9	C₆₇×#3520	C₂	1	2	yes	maximal, complemented
10	C₆₇×#3519	C₂	1	4	yes	maximal, complemented
11	C₆₇×#3519	C₂	1	2	yes	maximal, complemented
12	C₆₇×#3517	C₂	1	2	yes	maximal, complemented
13	C₆₇×#3514	C₂	1	4	yes	maximal, complemented
14	C₆₇×#3514	C₂	1	2	yes	maximal, complemented
15	C₆₇×#3512	C₂	1	2	yes	maximal, complemented
16	C₆₇×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#3506	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#3505	C₂	1	4	yes	maximal, complemented
19	C₆₇×#3500	C₂	1	2	yes	maximal, complemented
20	C₆₇×#3497	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#3494	C₂	1	4	yes	maximal, complemented
23	C₆₇×#3489	C₂	1	2	yes	maximal, complemented
24	C₆₇×#3488	C₂	1	2	yes	maximal, complemented
25	C₆₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#532×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#529×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×2₋¹⁺⁴×C₆₇	C₂²	1	2	yes	complemented
29	C₂×H(5,𝔽₂)×C₆₇	C₂²	1	2	yes	complemented
30	C₂²×#41×C₆₇	C₂²	1	2	yes	complemented
31	#563×C₆₇	C₂²	1	8	yes	complemented
32	#562×C₆₇	C₂²	1	8	yes	complemented
33	#560×C₆₇	C₂²	1	8	yes	complemented
34	#560×C₆₇	C₂²	1	8	yes	complemented
35	#559×C₆₇	C₂²	1	2	yes	complemented
36	#559×C₆₇	C₂²	1	4	yes	complemented
37	#557×C₆₇	C₂²	1	2	yes	complemented
38	#556×C₆₇	C₂²	1	2	yes	complemented
39	#556×C₆₇	C₂²	1	2	yes	complemented
40	#556×C₆₇	C₂²	1	4	yes	complemented
41	#555×C₆₇	C₂²	1	2	yes	complemented
42	#555×C₆₇	C₂²	1	4	yes	complemented
43	#555×C₆₇	C₂²	1	8	yes	complemented
44	#554×C₆₇	C₂²	1	2	yes	complemented
45	#554×C₆₇	C₂²	1	4	yes	complemented
46	#553×C₆₇	C₂²	1	8	yes	complemented
47	#553×C₆₇	C₂²	1	4	yes	complemented
48	#553×C₆₇	C₂²	1	4	yes	complemented
49	#553×C₆₇	C₂²	1	4	yes	complemented
50	#553×C₆₇	C₂²	1	4	yes	complemented
51	#553×C₆₇	C₂²	1	4	yes	complemented
52	#553×C₆₇	C₂²	1	8	yes	complemented
53	#553×C₆₇	C₂²	1	8	yes	complemented
54	#553×C₆₇	C₂²	1	8	yes	complemented
55	#552×C₆₇	C₂²	1	4	yes	complemented
56	#552×C₆₇	C₂²	1	4	yes	complemented
57	#552×C₆₇	C₂²	1	4	yes	complemented
58	#551×C₆₇	C₂²	1	8	yes	complemented
59	#551×C₆₇	C₂²	1	8	yes	complemented
60	#551×C₆₇	C₂²	1	8	yes	complemented
61	#551×C₆₇	C₂²	1	8	yes	complemented
62	#550×C₆₇	C₂²	1	2	yes	complemented
63	#550×C₆₇	C₂²	1	2	yes	complemented
64	#550×C₆₇	C₂²	1	2	yes	complemented
65	#550×C₆₇	C₂²	1	4	yes	complemented
66	#550×C₆₇	C₂²	1	4	yes	complemented
67	D₄×Q₈×C₆₇	C₂²	1	2	yes	complemented
68	D₄×Q₈×C₆₇	C₂²	1	4	yes	complemented
69	D₄×Q₈×C₆₇	C₂²	1	2	yes	complemented
70	#548×C₆₇	C₂²	1	4	yes	complemented
71	#548×C₆₇	C₂²	1	4	yes	complemented
72	#548×C₆₇	C₂²	1	4	yes	complemented
73	#548×C₆₇	C₂²	1	4	yes	complemented
74	#548×C₆₇	C₂²	1	4	yes	complemented
75	#548×C₆₇	C₂²	1	4	yes	complemented
76	#547×C₆₇	C₂²	1	2	yes	complemented
77	#547×C₆₇	C₂²	1	2	yes	complemented
78	#547×C₆₇	C₂²	1	2	yes	complemented
79	#547×C₆₇	C₂²	1	8	yes	complemented
80	#547×C₆₇	C₂²	1	4	yes	complemented
81	#546×C₆₇	C₂²	1	8	yes	complemented
82	#546×C₆₇	C₂²	1	8	yes	complemented
83	#546×C₆₇	C₂²	1	8	yes	complemented
84	#546×C₆₇	C₂²	1	4	yes	complemented
85	#546×C₆₇	C₂²	1	4	yes	complemented
86	#546×C₆₇	C₂²	1	4	yes	complemented
87	#546×C₆₇	C₂²	1	4	yes	complemented
88	#546×C₆₇	C₂²	1	4	yes	complemented
89	#546×C₆₇	C₂²	1	4	yes	complemented
90	#546×C₆₇	C₂²	1	8	yes	complemented
91	#546×C₆₇	C₂²	1	8	yes	complemented
92	#546×C₆₇	C₂²	1	4	yes	complemented
93	#546×C₆₇	C₂²	1	4	yes	complemented
94	D₄²×C₆₇	C₂²	1	8	yes	complemented
95	D₄²×C₆₇	C₂²	1	4	yes	complemented
96	D₄²×C₆₇	C₂²	1	2	yes	complemented
97	D₄²×C₆₇	C₂²	1	4	yes	complemented
98	D₄²×C₆₇	C₂²	1	2	yes	complemented
99	#544×C₆₇	C₂²	1	4	yes	complemented
100	#542×C₆₇	C₂²	1	4	yes	complemented
101	#542×C₆₇	C₂²	1	8	yes	complemented
102	#542×C₆₇	C₂²	1	4	yes	complemented
103	#541×C₆₇	C₂²	1	4	yes	complemented
104	#540×C₆₇	C₂²	1	8	yes	complemented
105	#540×C₆₇	C₂²	1	4	yes	complemented
106	#540×C₆₇	C₂²	1	4	yes	complemented
107	#540×C₆₇	C₂²	1	8	yes	complemented
108	#540×C₆₇	C₂²	1	4	yes	complemented
109	#539×C₆₇	C₂²	1	8	yes	complemented
110	#539×C₆₇	C₂²	1	4	yes	complemented
111	#539×C₆₇	C₂²	1	8	yes	complemented
112	#538×C₆₇	C₂²	1	8	yes	complemented
113	#538×C₆₇	C₂²	1	4	yes	complemented
114	#538×C₆₇	C₂²	1	8	yes	complemented
115	#538×C₆₇	C₂²	1	8	yes	complemented
116	#538×C₆₇	C₂²	1	8	yes	complemented
117	#538×C₆₇	C₂²	1	8	yes	complemented
118	#537×C₆₇	C₂²	1	4	yes	complemented
119	#537×C₆₇	C₂²	1	4	yes	complemented
120	#537×C₆₇	C₂²	1	4	yes	complemented
121	#537×C₆₇	C₂²	1	2	yes	complemented
122	#537×C₆₇	C₂²	1	2	yes	complemented
123	#536×C₆₇	C₂²	1	4	yes	complemented
124	#536×C₆₇	C₂²	1	4	yes	complemented
125	#536×C₆₇	C₂²	1	2	yes	complemented
126	#535×C₆₇	C₂²	1	4	yes	complemented
127	#535×C₆₇	C₂²	1	4	yes	complemented
128	#535×C₆₇	C₂²	1	4	yes	complemented
129	#535×C₆₇	C₂²	1	2	yes	complemented
130	#534×C₆₇	C₂²	1	8	yes	complemented
131	#534×C₆₇	C₂²	1	4	yes	complemented
132	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#532×C₆₇	C₂²	1	1	yes	characteristic
136	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#532×C₆₇	C₂²	1	2	yes	complemented
138	#532×C₆₇	C₂²	1	2	yes	complemented
139	#532×C₆₇	C₂²	1	2	yes	complemented
140	#532×C₆₇	C₂²	1	2	yes	complemented
141	#532×C₆₇	C₂²	1	2	yes	complemented
142	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	#532×C₆₇	C₂²	1	2	yes	complemented
144	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
148	#532×C₆₇	C₂²	1	4	yes	complemented
149	#532×C₆₇	C₂²	1	4	yes	complemented
150	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
151	C₂×#127×C₆₇	C₂²	1	1	yes	characteristic, complemented
152	#529×C₆₇	C₂²	1	2	yes	complemented
153	#529×C₆₇	C₂²	1	2	yes	complemented
154	#529×C₆₇	C₂²	1	2	yes	complemented
155	#529×C₆₇	C₂²	1	2	yes	complemented
156	#529×C₆₇	C₂²	1	2	yes	complemented
157	#529×C₆₇	C₂²	1	2	yes	complemented
158	#529×C₆₇	C₂²	1	2	yes	complemented
159	#529×C₆₇	C₂²	1	2	yes	complemented
160	#529×C₆₇	C₂²	1	2	yes	complemented
161	#529×C₆₇	C₂²	1	2	yes	complemented
162	#529×C₆₇	C₂²	1	2	yes	complemented
163	#529×C₆₇	C₂²	1	2	yes	complemented
164	#529×C₆₇	C₂²	1	2	yes	complemented
165	#529×C₆₇	C₂²	1	2	yes	complemented
166	#529×C₆₇	C₂²	1	4	yes	complemented
167	#529×C₆₇	C₂²	1	4	yes	complemented
168	#529×C₆₇	C₂²	1	4	yes	complemented
169	C₂×#126×C₆₇	C₂²	1	2	yes	complemented
170	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic, complemented
171	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
172	C₂×#124×C₆₇	C₂²	1	2	yes	complemented
173	C₂×#124×C₆₇	C₂²	1	4	yes	complemented
174	#525×C₆₇	C₂²	1	2	yes	complemented
175	#525×C₆₇	C₂²	1	2	yes	complemented
176	#525×C₆₇	C₂²	1	2	yes	complemented
177	#525×C₆₇	C₂²	1	4	yes	complemented
178	#525×C₆₇	C₂²	1	4	yes	complemented
179	#525×C₆₇	C₂²	1	4	yes	complemented
180	C₂×#123×C₆₇	C₂²	1	2	yes	complemented
181	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	4	yes	complemented
183	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
184	C₂×#121×C₆₇	C₂²	1	2	yes	complemented
185	C₂×#121×C₆₇	C₂²	1	2	yes	complemented
186	C₂×#121×C₆₇	C₂²	1	4	yes	complemented
187	C₂×#121×C₆₇	C₂²	1	4	yes	complemented
188	#520×C₆₇	C₂²	1	2	yes	complemented
189	#520×C₆₇	C₂²	1	2	yes	complemented
190	#520×C₆₇	C₂²	1	4	yes	complemented
191	#518×C₆₇	C₂²	1	4	yes	complemented
192	#518×C₆₇	C₂²	1	8	yes	complemented
193	C₄×#41×C₆₇	C₂²	1	2	yes	complemented
194	C₄×#41×C₆₇	C₂²	1	2	yes	complemented
195	C₄×#41×C₆₇	C₂²	1	2	yes	complemented
196	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄×D₄×C₆₇	C₂²	1	2	yes	complemented
199	C₂×C₄×D₄×C₆₇	C₂²	1	2	yes	complemented
200	C₂×C₄×D₄×C₆₇	C₂²	1	2	yes	complemented
201	C₂×#117×C₆₇	C₂²	1	2	yes	complemented
202	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
203	2₋¹⁺⁴×C₆₇	—	4	8	no	—
204	H(5,𝔽₂)×C₆₇	—	4	8	no	—
205	C₂×#41×C₆₇	—	4	8	no	—
206	C₂×#41×C₆₇	C₂³	1	2	yes	—
207	C₂×#41×C₆₇	C₂³	1	2	yes	—
208	C₂×#41×C₆₇	C₂³	1	2	yes	—
209	C₂×#41×C₆₇	C₂³	1	2	yes	—
210	C₂×#41×C₆₇	C₂³	1	2	yes	—
211	C₂×#41×C₆₇	C₂³	1	4	yes	—
212	C₂×#41×C₆₇	C₂³	1	4	yes	—
213	C₂×#41×C₆₇	C₂³	1	4	yes	—
214	C₂×#41×C₆₇	C₂³	1	4	yes	—
215	C₂×#41×C₆₇	C₂³	1	4	yes	—
216	C₂×#41×C₆₇	C₂³	1	2	yes	—
217	C₂×#41×C₆₇	C₂³	1	2	yes	—
218	C₂×#41×C₆₇	C₂³	1	4	yes	—
219	C₂×#41×C₆₇	C₂³	1	4	yes	—
220	C₂×#41×C₆₇	C₂³	1	8	yes	—
221	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
222	C₂²×Q₈×C₆₇	C₂³	1	4	yes	—
223	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
224	C₂²×Q₈×C₆₇	C₂³	1	4	yes	—
225	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
226	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
227	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
228	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
229	C₂²×D₄×C₆₇	C₂³	1	8	yes	—
230	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
231	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
232	C₂²×D₄×C₆₇	C₂³	1	8	yes	—
233	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
234	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
235	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
236	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
238	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
239	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
240	C₂³×C₄×C₆₇	C₂³	1	4	yes	—
241	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
242	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
243	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
244	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
245	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
246	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
247	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
248	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
249	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
250	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
251	C₄⋊Q₈×C₆₇	C₂³	1	8	yes	—
252	#127×C₆₇	C₂³	1	1	yes	characteristic
253	#127×C₆₇	C₂³	1	2	yes	—
254	#127×C₆₇	C₂³	1	2	yes	—
255	#127×C₆₇	C₂³	1	1	yes	characteristic
256	#127×C₆₇	C₂³	1	2	yes	—
257	#127×C₆₇	C₂³	1	1	yes	characteristic
258	#127×C₆₇	C₂³	1	4	yes	—
259	#127×C₆₇	C₂³	1	4	yes	—
260	#127×C₆₇	C₂³	1	8	yes	—
261	#126×C₆₇	C₂³	1	4	yes	—
262	#126×C₆₇	C₂³	1	4	yes	—
263	#126×C₆₇	C₂³	1	4	yes	—
264	#126×C₆₇	C₂³	1	4	yes	—
265	#126×C₆₇	C₂³	1	4	yes	—
266	#126×C₆₇	C₂³	1	4	yes	—
267	#126×C₆₇	C₂³	1	8	yes	—
268	#126×C₆₇	C₂³	1	8	yes	—
269	#126×C₆₇	C₂³	1	8	yes	—
270	#126×C₆₇	C₂³	1	8	yes	—
271	#126×C₆₇	C₂³	1	8	yes	—
272	#126×C₆₇	C₂³	1	8	yes	—
273	#126×C₆₇	C₂³	1	8	yes	—
274	#125×C₆₇	C₂³	1	2	yes	—
275	#125×C₆₇	C₂³	1	2	yes	—
276	#125×C₆₇	C₂³	1	2	yes	—
277	#125×C₆₇	C₂³	1	2	yes	—
278	#125×C₆₇	C₂³	1	2	yes	—
279	#125×C₆₇	C₂³	1	2	yes	—
280	#125×C₆₇	C₂³	1	2	yes	—
281	#125×C₆₇	C₂³	1	4	yes	—
282	#125×C₆₇	C₂³	1	8	yes	—
283	#125×C₆₇	C₂³	1	8	yes	—
284	#125×C₆₇	C₂³	1	8	yes	—
285	#124×C₆₇	C₂³	1	2	yes	—
286	#124×C₆₇	C₂³	1	2	yes	—
287	#124×C₆₇	C₂³	1	2	yes	—
288	#124×C₆₇	C₂³	1	2	yes	—
289	#124×C₆₇	C₂³	1	2	yes	—
290	#124×C₆₇	C₂³	1	2	yes	—
291	#124×C₆₇	C₂³	1	2	yes	—
292	#124×C₆₇	C₂³	1	4	yes	—
293	#124×C₆₇	C₂³	1	2	yes	—
294	#124×C₆₇	C₂³	1	4	yes	—
295	#124×C₆₇	C₂³	1	4	yes	—
296	#124×C₆₇	C₂³	1	4	yes	—
297	#124×C₆₇	C₂³	1	8	yes	—
298	#124×C₆₇	C₂³	1	8	yes	—
299	#124×C₆₇	C₂³	1	2	yes	—
300	#124×C₆₇	C₂³	1	2	yes	—
301	#124×C₆₇	C₂³	1	2	yes	—
302	#124×C₆₇	C₂³	1	4	yes	—
303	#124×C₆₇	C₂³	1	8	yes	—
304	#124×C₆₇	C₂³	1	8	yes	—
305	#124×C₆₇	C₂³	1	8	yes	—
306	#124×C₆₇	C₂³	1	8	yes	—
307	#123×C₆₇	C₂³	1	4	yes	—
308	#123×C₆₇	C₂³	1	4	yes	—
309	#123×C₆₇	C₂³	1	4	yes	—
310	#123×C₆₇	C₂³	1	4	yes	—
311	#123×C₆₇	C₂³	1	4	yes	—
312	#123×C₆₇	C₂³	1	4	yes	—
313	#123×C₆₇	C₂³	1	4	yes	—
314	#123×C₆₇	C₂³	1	8	yes	—
315	#123×C₆₇	C₂³	1	8	yes	—
316	#123×C₆₇	C₂³	1	8	yes	—
317	#123×C₆₇	C₂³	1	8	yes	—
318	#123×C₆₇	C₂³	1	8	yes	—
319	#123×C₆₇	C₂³	1	8	yes	—
320	#123×C₆₇	C₂³	1	8	yes	—
321	#123×C₆₇	C₂³	1	8	yes	—
322	#123×C₆₇	C₂³	1	8	yes	—
323	#123×C₆₇	C₂³	1	8	yes	—
324	#123×C₆₇	C₂³	1	8	yes	—
325	#123×C₆₇	C₂³	1	8	yes	—
326	#123×C₆₇	C₂³	1	8	yes	—
327	#123×C₆₇	C₂³	1	8	yes	—
328	#123×C₆₇	C₂³	1	8	yes	—
329	#123×C₆₇	C₂³	1	8	yes	—
330	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
331	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
332	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
333	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
334	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
335	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
336	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
337	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
338	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
339	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
340	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
341	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
342	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
343	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
344	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
345	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
346	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
347	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
348	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
349	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
350	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
351	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
352	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
353	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
354	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
355	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
356	#121×C₆₇	C₂³	1	2	yes	—
357	#121×C₆₇	C₂³	1	2	yes	—
358	#121×C₆₇	C₂³	1	2	yes	—
359	#121×C₆₇	C₂³	1	2	yes	—
360	#121×C₆₇	C₂³	1	2	yes	—
361	#121×C₆₇	C₂³	1	2	yes	—
362	#121×C₆₇	C₂³	1	2	yes	—
363	#121×C₆₇	C₂³	1	2	yes	—
364	#121×C₆₇	C₂³	1	2	yes	—
365	#121×C₆₇	C₂³	1	2	yes	—
366	#121×C₆₇	C₂³	1	2	yes	—
367	#121×C₆₇	C₂³	1	4	yes	—
368	#121×C₆₇	C₂³	1	2	yes	—
369	#121×C₆₇	C₂³	1	4	yes	—
370	#121×C₆₇	C₂³	1	4	yes	—
371	#121×C₆₇	C₂³	1	2	yes	—
372	#121×C₆₇	C₂³	1	2	yes	—
373	#121×C₆₇	C₂³	1	4	yes	—
374	#121×C₆₇	C₂³	1	8	yes	—
375	#121×C₆₇	C₂³	1	4	yes	—
376	#121×C₆₇	C₂³	1	4	yes	—
377	#121×C₆₇	C₂³	1	8	yes	—
378	#121×C₆₇	C₂³	1	8	yes	—
379	#121×C₆₇	C₂³	1	8	yes	—
380	#121×C₆₇	C₂³	1	4	yes	—
381	#121×C₆₇	C₂³	1	4	yes	—
382	#121×C₆₇	C₂³	1	2	yes	—
383	#121×C₆₇	C₂³	1	2	yes	—
384	#121×C₆₇	C₂³	1	2	yes	—
385	#121×C₆₇	C₂³	1	2	yes	—
386	#121×C₆₇	C₂³	1	4	yes	—
387	#121×C₆₇	C₂³	1	4	yes	—
388	#121×C₆₇	C₂³	1	4	yes	—
389	#121×C₆₇	C₂³	1	4	yes	—
390	#121×C₆₇	C₂³	1	4	yes	—
391	#121×C₆₇	C₂³	1	8	yes	—
392	#121×C₆₇	C₂³	1	8	yes	—
393	#121×C₆₇	C₂³	1	8	yes	—
394	#121×C₆₇	C₂³	1	8	yes	—
395	#121×C₆₇	C₂³	1	8	yes	—
396	#121×C₆₇	C₂³	1	8	yes	—
397	#121×C₆₇	C₂³	1	8	yes	—
398	#121×C₆₇	C₂³	1	8	yes	—
399	#121×C₆₇	C₂³	1	8	yes	—
400	#121×C₆₇	C₂³	1	8	yes	—
401	#121×C₆₇	C₂³	1	8	yes	—
402	#121×C₆₇	C₂³	1	8	yes	—
403	#121×C₆₇	C₂³	1	8	yes	—
404	#121×C₆₇	C₂³	1	8	yes	—
405	#121×C₆₇	C₂³	1	8	yes	—
406	#121×C₆₇	C₂³	1	8	yes	—
407	#120×C₆₇	C₂³	1	4	yes	—
408	#120×C₆₇	C₂³	1	8	yes	—
409	#120×C₆₇	C₂³	1	8	yes	—
410	#120×C₆₇	C₂³	1	8	yes	—
411	#120×C₆₇	C₂³	1	8	yes	—
412	#120×C₆₇	C₂³	1	8	yes	—
413	#120×C₆₇	C₂³	1	8	yes	—
414	#120×C₆₇	C₂³	1	8	yes	—
415	#120×C₆₇	C₂³	1	8	yes	—
416	#120×C₆₇	C₂³	1	8	yes	—
417	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
418	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
419	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
420	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
421	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
422	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
423	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
424	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
425	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
426	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
427	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
428	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
429	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
430	C₄×D₄×C₆₇	C₂³	1	4	yes	—
431	C₄×D₄×C₆₇	C₂³	1	2	yes	—
432	C₄×D₄×C₆₇	C₂³	1	2	yes	—
433	C₄×D₄×C₆₇	C₂³	1	4	yes	—
434	C₄×D₄×C₆₇	C₂³	1	4	yes	—
435	C₄×D₄×C₆₇	C₂³	1	2	yes	—
436	C₄×D₄×C₆₇	C₂³	1	2	yes	—
437	C₄×D₄×C₆₇	C₂³	1	2	yes	—
438	C₄×D₄×C₆₇	C₂³	1	2	yes	—
439	C₄×D₄×C₆₇	C₂³	1	4	yes	—
440	C₄×D₄×C₆₇	C₂³	1	2	yes	—
441	C₄×D₄×C₆₇	C₂³	1	2	yes	—
442	C₄×D₄×C₆₇	C₂³	1	4	yes	—
443	C₄×D₄×C₆₇	C₂³	1	4	yes	—
444	C₄×D₄×C₆₇	C₂³	1	4	yes	—
445	C₄×D₄×C₆₇	C₂³	1	2	yes	—
446	C₄×D₄×C₆₇	C₂³	1	2	yes	—
447	C₄×D₄×C₆₇	C₂³	1	2	yes	—
448	C₄×D₄×C₆₇	C₂³	1	4	yes	—
449	C₄×D₄×C₆₇	C₂³	1	2	yes	—
450	C₄×D₄×C₆₇	C₂³	1	4	yes	—
451	C₄×D₄×C₆₇	C₂³	1	2	yes	—
452	C₄×D₄×C₆₇	C₂³	1	4	yes	—
453	C₄×D₄×C₆₇	C₂³	1	4	yes	—
454	C₄×D₄×C₆₇	C₂³	1	4	yes	—
455	C₄×D₄×C₆₇	C₂³	1	4	yes	—
456	C₄×D₄×C₆₇	C₂³	1	4	yes	—
457	C₄×D₄×C₆₇	C₂³	1	2	yes	—
458	C₄×D₄×C₆₇	C₂³	1	2	yes	—
459	C₄×D₄×C₆₇	C₂³	1	2	yes	—
460	C₄×D₄×C₆₇	C₂³	1	2	yes	—
461	C₄×D₄×C₆₇	C₂³	1	2	yes	—
462	C₄×D₄×C₆₇	C₂³	1	8	yes	—
463	C₄×D₄×C₆₇	C₂³	1	8	yes	—
464	C₄×D₄×C₆₇	C₂³	1	8	yes	—
465	C₄×D₄×C₆₇	C₂³	1	8	yes	—
466	C₄×D₄×C₆₇	C₂³	1	8	yes	—
467	C₄×D₄×C₆₇	C₂³	1	8	yes	—
468	C₄×D₄×C₆₇	C₂³	1	4	yes	—
469	C₄×D₄×C₆₇	C₂³	1	8	yes	—
470	C₄×D₄×C₆₇	C₂³	1	8	yes	—
471	C₄×D₄×C₆₇	C₂³	1	4	yes	—
472	C₄×D₄×C₆₇	C₂³	1	8	yes	—
473	C₄×D₄×C₆₇	C₂³	1	8	yes	—
474	C₄×D₄×C₆₇	C₂³	1	8	yes	—
475	C₄×D₄×C₆₇	C₂³	1	4	yes	—
476	C₄×D₄×C₆₇	C₂³	1	4	yes	—
477	C₄×D₄×C₆₇	C₂³	1	8	yes	—
478	C₄×D₄×C₆₇	C₂³	1	4	yes	—
479	#117×C₆₇	C₂³	1	4	yes	—
480	#117×C₆₇	C₂³	1	4	yes	—
481	#117×C₆₇	C₂³	1	4	yes	—
482	#117×C₆₇	C₂³	1	4	yes	—
483	#117×C₆₇	C₂³	1	2	yes	—
484	#117×C₆₇	C₂³	1	2	yes	—
485	#117×C₆₇	C₂³	1	2	yes	—
486	#117×C₆₇	C₂³	1	4	yes	—
487	#117×C₆₇	C₂³	1	4	yes	—
488	#117×C₆₇	C₂³	1	4	yes	—
489	#117×C₆₇	C₂³	1	4	yes	—
490	#117×C₆₇	C₂³	1	8	yes	—
491	#117×C₆₇	C₂³	1	8	yes	—
492	#117×C₆₇	C₂³	1	4	yes	—
493	#117×C₆₇	C₂³	1	4	yes	—
494	#117×C₆₇	C₂³	1	8	yes	—
495	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
496	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
497	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
498	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
499	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
500	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
501	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
502	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
503	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
504	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
505	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
506	C₂×C₄⋊C₄×C₆₇	C₂³	1	8	yes	—
507	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
508	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
509	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
510	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
511	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
512	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
513	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
514	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	—
515	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	—
516	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	—
517	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	—
518	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	—
519	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
521	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
529	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₆₇	C₂³	1	2	yes	—
532	C₂×C₄²×C₆₇	C₂³	1	4	yes	—
533	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
534	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
535	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
536	C₂⁴×C₆₇	C₂⁴	1	8	yes	—
537	#41×C₆₇	—	2	8	no	—
538	#41×C₆₇	—	2	8	no	—
539	#41×C₆₇	—	2	8	no	—
540	#41×C₆₇	—	4	8	no	—
541	#41×C₆₇	—	4	8	no	—
542	#41×C₆₇	—	4	4	no	—
543	#41×C₆₇	—	4	16	no	—
544	#41×C₆₇	—	4	4	no	—
545	#41×C₆₇	—	4	4	no	—
546	#41×C₆₇	—	4	8	no	—
547	#41×C₆₇	—	4	4	no	—
548	#41×C₆₇	—	4	8	no	—
549	#41×C₆₇	—	4	8	no	—
550	#41×C₆₇	—	4	8	no	—
551	#41×C₆₇	—	4	8	no	—
552	C₂×Q₈×C₆₇	—	2	4	no	—
553	C₂×Q₈×C₆₇	—	4	4	no	—
554	C₂×Q₈×C₆₇	—	4	8	no	—
555	C₂×Q₈×C₆₇	—	4	8	no	—
556	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
557	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
558	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
559	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
560	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
561	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
562	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
563	C₂×Q₈×C₆₇	C₂⁴	1	8	yes	—
564	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
565	C₂×D₄×C₆₇	—	2	4	no	—
566	C₂×D₄×C₆₇	—	4	4	no	—
567	C₂×D₄×C₆₇	—	4	8	no	—
568	C₂×D₄×C₆₇	—	4	4	no	—
569	C₂×D₄×C₆₇	—	4	8	no	—
570	C₂×D₄×C₆₇	—	4	8	no	—
571	C₂×D₄×C₆₇	—	4	4	no	—
572	C₂×D₄×C₆₇	—	4	4	no	—
573	C₂×D₄×C₆₇	—	4	16	no	—
574	C₂×D₄×C₆₇	—	4	8	no	—
575	C₂×D₄×C₆₇	—	4	16	no	—
576	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
577	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
578	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
579	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
580	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
581	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
582	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
583	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
584	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
585	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
586	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
587	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
588	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
589	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
590	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
591	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
592	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
593	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
594	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
595	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
596	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
597	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
598	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
599	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
600	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
601	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
602	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
603	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
604	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
605	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
606	C₂²×C₄×C₆₇	—	2	4	no	—
607	C₂²×C₄×C₆₇	—	4	2	no	—
608	C₂²×C₄×C₆₇	—	4	4	no	—
609	C₂²×C₄×C₆₇	—	4	8	no	—
610	C₂²×C₄×C₆₇	—	4	2	no	—
611	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
617	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
622	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
623	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
624	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
625	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
626	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
629	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
630	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
631	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
632	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
633	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
634	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
635	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
636	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
637	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
638	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
639	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
640	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
641	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
642	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
643	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
644	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
645	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
646	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
648	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
650	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
651	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
652	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
653	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
654	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
655	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
656	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
657	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
658	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
659	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
660	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
661	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
662	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
663	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
664	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
666	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
667	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
668	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
669	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
670	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
671	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
672	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
673	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
674	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
675	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
676	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
677	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
678	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
679	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
680	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
681	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
682	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
683	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
684	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
685	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
686	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
687	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
688	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
689	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
690	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
691	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
692	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
693	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
694	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
695	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
696	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
697	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
698	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
699	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
700	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
701	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
702	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
703	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
704	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
705	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
706	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
707	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
708	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
709	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
710	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
711	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
712	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
713	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
714	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
715	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
716	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
717	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
718	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
719	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
720	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
721	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
722	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
723	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
724	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
725	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
726	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
727	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
728	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
729	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
730	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
731	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
732	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
733	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
734	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
735	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
736	C₄²×C₆₇	C₂⁴	1	4	yes	—
737	C₄²×C₆₇	C₂⁴	1	4	yes	—
738	C₄²×C₆₇	C₂⁴	1	4	yes	—
739	C₄²×C₆₇	C₂⁴	1	4	yes	—
740	C₄²×C₆₇	C₂⁴	1	4	yes	—
741	C₄²×C₆₇	C₂⁴	1	8	yes	—
742	C₄²×C₆₇	C₂⁴	1	8	yes	—
743	C₂³×C₆₇	—	2	2	no	—
744	C₂³×C₆₇	—	2	2	no	—
745	C₂³×C₆₇	—	2	4	no	—
746	C₂³×C₆₇	—	2	8	no	—
747	C₂³×C₆₇	—	4	1	no	—
748	C₂³×C₆₇	—	4	4	no	—
749	C₂³×C₆₇	—	4	2	no	—
750	C₂³×C₆₇	—	4	4	no	—
751	C₂³×C₆₇	—	4	2	no	—
752	C₂³×C₆₇	—	4	8	no	—
753	C₂³×C₆₇	—	4	8	no	—
754	C₂³×C₆₇	—	4	8	no	—
755	C₂³×C₆₇	C₂⁵	1	4	yes	—
756	C₂³×C₆₇	C₂⁵	1	4	yes	—
757	C₂³×C₆₇	C₂⁵	1	4	yes	—
758	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
759	C₂³×C₆₇	C₂⁵	1	4	yes	—
760	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
761	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
762	Q₈×C₆₇	—	2	4	no	—
763	Q₈×C₆₇	—	2	4	no	—
764	Q₈×C₆₇	—	2	4	no	—
765	Q₈×C₆₇	—	2	4	no	—
766	Q₈×C₆₇	—	2	4	no	—
767	Q₈×C₆₇	—	2	4	no	—
768	Q₈×C₆₇	—	4	8	no	—
769	Q₈×C₆₇	—	4	4	no	—
770	Q₈×C₆₇	—	4	2	no	—
771	D₄×C₆₇	—	2	8	no	—
772	D₄×C₆₇	—	2	8	no	—
773	D₄×C₆₇	—	2	8	no	—
774	D₄×C₆₇	—	2	8	no	—
775	D₄×C₆₇	—	2	8	no	—
776	D₄×C₆₇	—	2	4	no	—
777	D₄×C₆₇	—	2	4	no	—
778	D₄×C₆₇	—	2	4	no	—
779	D₄×C₆₇	—	2	4	no	—
780	D₄×C₆₇	—	2	4	no	—
781	D₄×C₆₇	—	2	4	no	—
782	D₄×C₆₇	—	2	4	no	—
783	D₄×C₆₇	—	2	4	no	—
784	D₄×C₆₇	—	4	8	no	—
785	D₄×C₆₇	—	4	8	no	—
786	D₄×C₆₇	—	4	8	no	—
787	D₄×C₆₇	—	4	4	no	—
788	D₄×C₆₇	—	4	2	no	—
789	D₄×C₆₇	—	4	4	no	—
790	D₄×C₆₇	—	4	2	no	—
791	D₄×C₆₇	—	4	4	no	—
792	D₄×C₆₇	—	4	8	no	—
793	D₄×C₆₇	—	4	8	no	—
794	D₄×C₆₇	—	4	4	no	—
795	D₄×C₆₇	—	4	4	no	—
796	D₄×C₆₇	—	4	4	no	—
797	D₄×C₆₇	—	4	2	no	—
798	D₄×C₆₇	—	4	4	no	—
799	D₄×C₆₇	—	4	8	no	—
800	D₄×C₆₇	—	4	8	no	—
801	C₂×C₄×C₆₇	—	2	2	no	—
802	C₂×C₄×C₆₇	—	2	4	no	—
803	C₂×C₄×C₆₇	—	2	2	no	—
804	C₂×C₄×C₆₇	—	2	2	no	—
805	C₂×C₄×C₆₇	—	2	2	no	—
806	C₂×C₄×C₆₇	—	2	2	no	—
807	C₂×C₄×C₆₇	—	2	2	no	—
808	C₂×C₄×C₆₇	—	2	2	no	—
809	C₂×C₄×C₆₇	—	2	8	no	—
810	C₂×C₄×C₆₇	—	2	8	no	—
811	C₂×C₄×C₆₇	—	2	8	no	—
812	C₂×C₄×C₆₇	—	2	2	no	—
813	C₂×C₄×C₆₇	—	2	2	no	—
814	C₂×C₄×C₆₇	—	2	8	no	—
815	C₂×C₄×C₆₇	—	2	2	no	—
816	C₂×C₄×C₆₇	—	4	1	no	—
817	C₂×C₄×C₆₇	—	4	4	no	—
818	C₂×C₄×C₆₇	—	4	1	no	—
819	C₂×C₄×C₆₇	—	4	1	no	—
820	C₂×C₄×C₆₇	—	4	1	no	—
821	C₂×C₄×C₆₇	—	4	1	no	—
822	C₂×C₄×C₆₇	—	4	2	no	—
823	C₂×C₄×C₆₇	—	4	1	no	—
824	C₂×C₄×C₆₇	—	4	1	no	—
825	C₂×C₄×C₆₇	—	4	4	no	—
826	C₂×C₄×C₆₇	—	4	4	no	—
827	C₂×C₄×C₆₇	—	4	4	no	—
828	C₂×C₄×C₆₇	—	4	2	no	—
829	C₂×C₄×C₆₇	—	4	8	no	—
830	C₂×C₄×C₆₇	—	4	8	no	—
831	C₂×C₄×C₆₇	—	4	8	no	—
832	C₂×C₄×C₆₇	—	4	8	no	—
833	C₂×C₄×C₆₇	—	4	4	no	—
834	C₂×C₄×C₆₇	—	4	4	no	—
835	C₂×C₄×C₆₇	—	4	8	no	—
836	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	—
837	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
838	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
839	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
840	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
841	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
842	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
843	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
844	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
845	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
846	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
847	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
848	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
849	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
850	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
851	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
852	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
853	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
854	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
855	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
856	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
857	C₂²×C₆₇	—	2	1	no	—
858	C₂²×C₆₇	—	2	1	no	—
859	C₂²×C₆₇	—	2	1	no	—
860	C₂²×C₆₇	—	2	1	no	—
861	C₂²×C₆₇	—	2	1	no	—
862	C₂²×C₆₇	—	2	4	no	—
863	C₂²×C₆₇	—	2	4	no	—
864	C₂²×C₆₇	—	2	4	no	—
865	C₂²×C₆₇	—	2	4	no	—
866	C₂²×C₆₇	—	2	1	no	—
867	C₂²×C₆₇	—	2	4	no	—
868	C₂²×C₆₇	—	2	4	no	—
869	C₂²×C₆₇	—	2	1	no	—
870	C₂²×C₆₇	—	2	4	no	—
871	C₂²×C₆₇	—	2	4	no	—
872	C₂²×C₆₇	—	2	4	no	—
873	C₂²×C₆₇	—	2	4	no	—
874	C₂²×C₆₇	—	2	4	no	—
875	C₂²×C₆₇	—	2	4	no	—
876	C₂²×C₆₇	—	4	4	no	—
877	C₂²×C₆₇	—	8	8	no	—
878	C₂²×C₆₇	—	8	4	no	—
879	C₂²×C₆₇	—	16	8	no	—
880	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
881	C₂²×C₆₇	#585	1	2	yes	—
882	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
883	C₄×C₆₇	—	2	1	no	—
884	C₄×C₆₇	—	2	1	no	—
885	C₄×C₆₇	—	2	4	no	—
886	C₄×C₆₇	—	2	4	no	—
887	C₄×C₆₇	—	2	4	no	—
888	C₄×C₆₇	—	2	4	no	—
889	C₄×C₆₇	—	2	1	no	—
890	C₄×C₆₇	—	2	1	no	—
891	C₄×C₆₇	—	2	1	no	—
892	C₄×C₆₇	—	2	4	no	—
893	C₄×C₆₇	—	2	1	no	—
894	C₄×C₆₇	—	2	1	no	—
895	C₄×C₆₇	—	2	1	no	—
896	C₄×C₆₇	—	2	1	no	—
897	C₄×C₆₇	—	2	4	no	—
898	C₄×C₆₇	—	2	4	no	—
899	C₄×C₆₇	—	2	4	no	—
900	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
901	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
902	C₄×C₆₇	#585	1	2	yes	—
903	#62830	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
904	C₂×C₆₇	—	2	2	no	—
905	C₂×C₆₇	—	2	2	no	—
906	C₂×C₆₇	—	4	1	no	—
907	C₂×C₆₇	—	4	4	no	—
908	C₂×C₆₇	—	4	4	no	—
909	C₂×C₆₇	—	4	4	no	—
910	C₂×C₆₇	—	4	4	no	—
911	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
912	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
913	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
914	#3562	C₂×C₆₇	1	4	yes	complemented
915	#3560	C₂×C₆₇	1	4	yes	complemented
916	#3552	C₂×C₆₇	1	2	yes	complemented
917	#3551	C₂×C₆₇	1	4	yes	complemented
918	#3547	C₂×C₆₇	1	2	yes	complemented
919	#3546	C₂×C₆₇	1	2	yes	complemented
920	#3543	C₂×C₆₇	1	2	yes	complemented
921	#3534	C₂×C₆₇	1	4	yes	complemented
922	#3520	C₂×C₆₇	1	2	yes	complemented
923	#3519	C₂×C₆₇	1	4	yes	complemented
924	#3519	C₂×C₆₇	1	2	yes	complemented
925	#3517	C₂×C₆₇	1	2	yes	complemented
926	#3514	C₂×C₆₇	1	4	yes	complemented
927	#3514	C₂×C₆₇	1	2	yes	complemented
928	#3512	C₂×C₆₇	1	2	yes	complemented
929	#3507	C₂×C₆₇	1	1	yes	characteristic, complemented
930	#3506	C₂×C₆₇	1	1	yes	characteristic, complemented
931	#3505	C₂×C₆₇	1	4	yes	complemented
932	#3500	C₂×C₆₇	1	2	yes	complemented
933	#3497	C₂×C₆₇	1	1	yes	characteristic, complemented
934	#3496	C₂×C₆₇	1	1	yes	characteristic, complemented
935	#3494	C₂×C₆₇	1	4	yes	complemented
936	#3489	C₂×C₆₇	1	2	yes	complemented
937	#3488	C₂×C₆₇	1	2	yes	complemented
938	#3444	C₂×C₆₇	1	1	yes	characteristic, complemented
939	C₂×#532	C₂×C₆₇	1	1	yes	characteristic, complemented
940	C₂×#529	C₂×C₆₇	1	1	yes	characteristic, complemented
941	C₆₇	#62830	1	1	yes	characteristic, direct product factor, Sylow
942	C₂×2₋¹⁺⁴	C₂²×C₆₇	1	2	yes	complemented
943	C₂×H(5,𝔽₂)	C₂²×C₆₇	1	2	yes	complemented
944	C₂²×#41	C₂²×C₆₇	1	2	yes	complemented
945	#563	C₂²×C₆₇	1	8	yes	complemented
946	#562	C₂²×C₆₇	1	8	yes	complemented
947	#560	C₂²×C₆₇	1	8	yes	complemented
948	#560	C₂²×C₆₇	1	8	yes	complemented
949	#559	C₂²×C₆₇	1	4	yes	complemented
950	#559	C₂²×C₆₇	1	2	yes	complemented
951	#557	C₂²×C₆₇	1	2	yes	complemented
952	#556	C₂²×C₆₇	1	2	yes	complemented
953	#556	C₂²×C₆₇	1	4	yes	complemented
954	#556	C₂²×C₆₇	1	2	yes	complemented
955	#555	C₂²×C₆₇	1	8	yes	complemented
956	#555	C₂²×C₆₇	1	2	yes	complemented
957	#555	C₂²×C₆₇	1	4	yes	complemented
958	#554	C₂²×C₆₇	1	2	yes	complemented
959	#554	C₂²×C₆₇	1	4	yes	complemented
960	#553	C₂²×C₆₇	1	8	yes	complemented
961	#553	C₂²×C₆₇	1	8	yes	complemented
962	#553	C₂²×C₆₇	1	4	yes	complemented
963	#553	C₂²×C₆₇	1	4	yes	complemented
964	#553	C₂²×C₆₇	1	8	yes	complemented
965	#553	C₂²×C₆₇	1	4	yes	complemented
966	#553	C₂²×C₆₇	1	8	yes	complemented
967	#553	C₂²×C₆₇	1	4	yes	complemented
968	#553	C₂²×C₆₇	1	4	yes	complemented
969	#552	C₂²×C₆₇	1	4	yes	complemented
970	#552	C₂²×C₆₇	1	4	yes	complemented
971	#552	C₂²×C₆₇	1	4	yes	complemented
972	#551	C₂²×C₆₇	1	8	yes	complemented
973	#551	C₂²×C₆₇	1	8	yes	complemented
974	#551	C₂²×C₆₇	1	8	yes	complemented
975	#551	C₂²×C₆₇	1	8	yes	complemented
976	#550	C₂²×C₆₇	1	4	yes	complemented
977	#550	C₂²×C₆₇	1	2	yes	complemented
978	#550	C₂²×C₆₇	1	2	yes	complemented
979	#550	C₂²×C₆₇	1	2	yes	complemented
980	#550	C₂²×C₆₇	1	4	yes	complemented
981	D₄×Q₈	C₂²×C₆₇	1	4	yes	complemented
982	D₄×Q₈	C₂²×C₆₇	1	2	yes	complemented
983	D₄×Q₈	C₂²×C₆₇	1	2	yes	complemented
984	#548	C₂²×C₆₇	1	4	yes	complemented
985	#548	C₂²×C₆₇	1	4	yes	complemented
986	#548	C₂²×C₆₇	1	4	yes	complemented
987	#548	C₂²×C₆₇	1	4	yes	complemented
988	#548	C₂²×C₆₇	1	4	yes	complemented
989	#548	C₂²×C₆₇	1	4	yes	complemented
990	#547	C₂²×C₆₇	1	8	yes	complemented
991	#547	C₂²×C₆₇	1	4	yes	complemented
992	#547	C₂²×C₆₇	1	2	yes	complemented
993	#547	C₂²×C₆₇	1	2	yes	complemented
994	#547	C₂²×C₆₇	1	2	yes	complemented
995	#546	C₂²×C₆₇	1	8	yes	complemented
996	#546	C₂²×C₆₇	1	4	yes	complemented
997	#546	C₂²×C₆₇	1	4	yes	complemented
998	#546	C₂²×C₆₇	1	8	yes	complemented
999	#546	C₂²×C₆₇	1	8	yes	complemented
1000	#546	C₂²×C₆₇	1	4	yes	complemented
1001	#546	C₂²×C₆₇	1	4	yes	complemented
1002	#546	C₂²×C₆₇	1	4	yes	complemented
1003	#546	C₂²×C₆₇	1	4	yes	complemented
1004	#546	C₂²×C₆₇	1	8	yes	complemented
1005	#546	C₂²×C₆₇	1	8	yes	complemented
1006	#546	C₂²×C₆₇	1	4	yes	complemented
1007	#546	C₂²×C₆₇	1	4	yes	complemented
1008	D₄²	C₂²×C₆₇	1	4	yes	complemented
1009	D₄²	C₂²×C₆₇	1	8	yes	complemented
1010	D₄²	C₂²×C₆₇	1	2	yes	complemented
1011	D₄²	C₂²×C₆₇	1	2	yes	complemented
1012	D₄²	C₂²×C₆₇	1	4	yes	complemented
1013	#544	C₂²×C₆₇	1	4	yes	complemented
1014	#542	C₂²×C₆₇	1	4	yes	complemented
1015	#542	C₂²×C₆₇	1	4	yes	complemented
1016	#542	C₂²×C₆₇	1	8	yes	complemented
1017	#541	C₂²×C₆₇	1	4	yes	complemented
1018	#540	C₂²×C₆₇	1	4	yes	complemented
1019	#540	C₂²×C₆₇	1	4	yes	complemented
1020	#540	C₂²×C₆₇	1	4	yes	complemented
1021	#540	C₂²×C₆₇	1	8	yes	complemented
1022	#540	C₂²×C₆₇	1	8	yes	complemented
1023	#539	C₂²×C₆₇	1	8	yes	complemented
1024	#539	C₂²×C₆₇	1	4	yes	complemented
1025	#539	C₂²×C₆₇	1	8	yes	complemented
1026	#538	C₂²×C₆₇	1	8	yes	complemented
1027	#538	C₂²×C₆₇	1	4	yes	complemented
1028	#538	C₂²×C₆₇	1	8	yes	complemented
1029	#538	C₂²×C₆₇	1	8	yes	complemented
1030	#538	C₂²×C₆₇	1	8	yes	complemented
1031	#538	C₂²×C₆₇	1	8	yes	complemented
1032	#537	C₂²×C₆₇	1	2	yes	complemented
1033	#537	C₂²×C₆₇	1	4	yes	complemented
1034	#537	C₂²×C₆₇	1	2	yes	complemented
1035	#537	C₂²×C₆₇	1	4	yes	complemented
1036	#537	C₂²×C₆₇	1	4	yes	complemented
1037	#536	C₂²×C₆₇	1	2	yes	complemented
1038	#536	C₂²×C₆₇	1	4	yes	complemented
1039	#536	C₂²×C₆₇	1	4	yes	complemented
1040	#535	C₂²×C₆₇	1	2	yes	complemented
1041	#535	C₂²×C₆₇	1	4	yes	complemented
1042	#535	C₂²×C₆₇	1	4	yes	complemented
1043	#535	C₂²×C₆₇	1	4	yes	complemented
1044	#534	C₂²×C₆₇	1	4	yes	complemented
1045	#534	C₂²×C₆₇	1	8	yes	complemented
1046	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
1047	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
1048	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
1049	#532	C₂²×C₆₇	1	1	yes	characteristic
1050	#532	C₂²×C₆₇	1	2	yes	complemented
1051	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1052	#532	C₂²×C₆₇	1	2	yes	complemented
1053	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1054	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1055	#532	C₂²×C₆₇	1	2	yes	complemented
1056	#532	C₂²×C₆₇	1	2	yes	complemented
1057	#532	C₂²×C₆₇	1	2	yes	complemented
1058	#532	C₂²×C₆₇	1	2	yes	complemented
1059	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1060	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1061	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
1062	#532	C₂²×C₆₇	1	4	yes	complemented
1063	#532	C₂²×C₆₇	1	4	yes	complemented
1064	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1065	C₂×#127	C₂²×C₆₇	1	1	yes	characteristic, complemented
1066	#529	C₂²×C₆₇	1	2	yes	complemented
1067	#529	C₂²×C₆₇	1	2	yes	complemented
1068	#529	C₂²×C₆₇	1	2	yes	complemented
1069	#529	C₂²×C₆₇	1	2	yes	complemented
1070	#529	C₂²×C₆₇	1	2	yes	complemented
1071	#529	C₂²×C₆₇	1	2	yes	complemented
1072	#529	C₂²×C₆₇	1	2	yes	complemented
1073	#529	C₂²×C₆₇	1	2	yes	complemented
1074	#529	C₂²×C₆₇	1	2	yes	complemented
1075	#529	C₂²×C₆₇	1	2	yes	complemented
1076	#529	C₂²×C₆₇	1	2	yes	complemented
1077	#529	C₂²×C₆₇	1	2	yes	complemented
1078	#529	C₂²×C₆₇	1	2	yes	complemented
1079	#529	C₂²×C₆₇	1	2	yes	complemented
1080	#529	C₂²×C₆₇	1	4	yes	complemented
1081	#529	C₂²×C₆₇	1	4	yes	complemented
1082	#529	C₂²×C₆₇	1	4	yes	complemented
1083	C₂×#126	C₂²×C₆₇	1	2	yes	complemented
1084	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic, complemented
1085	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic, complemented
1086	C₂×#124	C₂²×C₆₇	1	2	yes	complemented
1087	C₂×#124	C₂²×C₆₇	1	4	yes	complemented
1088	#525	C₂²×C₆₇	1	2	yes	complemented
1089	#525	C₂²×C₆₇	1	2	yes	complemented
1090	#525	C₂²×C₆₇	1	2	yes	complemented
1091	#525	C₂²×C₆₇	1	4	yes	complemented
1092	#525	C₂²×C₆₇	1	4	yes	complemented
1093	#525	C₂²×C₆₇	1	4	yes	complemented
1094	C₂×#123	C₂²×C₆₇	1	2	yes	complemented
1095	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1096	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	4	yes	complemented
1097	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
1098	C₂×#121	C₂²×C₆₇	1	2	yes	complemented
1099	C₂×#121	C₂²×C₆₇	1	2	yes	complemented
1100	C₂×#121	C₂²×C₆₇	1	4	yes	complemented
1101	C₂×#121	C₂²×C₆₇	1	4	yes	complemented
1102	#520	C₂²×C₆₇	1	2	yes	complemented
1103	#520	C₂²×C₆₇	1	2	yes	complemented
1104	#520	C₂²×C₆₇	1	4	yes	complemented
1105	#518	C₂²×C₆₇	1	4	yes	complemented
1106	#518	C₂²×C₆₇	1	8	yes	complemented
1107	C₄×#41	C₂²×C₆₇	1	2	yes	complemented
1108	C₄×#41	C₂²×C₆₇	1	2	yes	complemented
1109	C₄×#41	C₂²×C₆₇	1	2	yes	complemented
1110	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
1111	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic, complemented
1112	C₂×C₄×D₄	C₂²×C₆₇	1	2	yes	complemented
1113	C₂×C₄×D₄	C₂²×C₆₇	1	2	yes	complemented
1114	C₂×C₄×D₄	C₂²×C₆₇	1	2	yes	complemented
1115	C₂×#117	C₂²×C₆₇	1	2	yes	complemented
1116	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic, complemented
1117	2₋¹⁺⁴	—	4	8	no	—
1118	H(5,𝔽₂)	—	4	8	no	—
1119	C₂×#41	—	4	8	no	—
1120	C₂×#41	C₂³×C₆₇	1	2	yes	—
1121	C₂×#41	C₂³×C₆₇	1	2	yes	—
1122	C₂×#41	C₂³×C₆₇	1	2	yes	—
1123	C₂×#41	C₂³×C₆₇	1	2	yes	—
1124	C₂×#41	C₂³×C₆₇	1	2	yes	—
1125	C₂×#41	C₂³×C₆₇	1	4	yes	—
1126	C₂×#41	C₂³×C₆₇	1	4	yes	—
1127	C₂×#41	C₂³×C₆₇	1	4	yes	—
1128	C₂×#41	C₂³×C₆₇	1	4	yes	—
1129	C₂×#41	C₂³×C₆₇	1	4	yes	—
1130	C₂×#41	C₂³×C₆₇	1	2	yes	—
1131	C₂×#41	C₂³×C₆₇	1	2	yes	—
1132	C₂×#41	C₂³×C₆₇	1	4	yes	—
1133	C₂×#41	C₂³×C₆₇	1	4	yes	—
1134	C₂×#41	C₂³×C₆₇	1	8	yes	—
1135	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
1136	C₂²×Q₈	C₂³×C₆₇	1	4	yes	—
1137	C₂²×Q₈	C₂³×C₆₇	1	2	yes	—
1138	C₂²×Q₈	C₂³×C₆₇	1	4	yes	—
1139	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
1140	C₂²×D₄	C₂³×C₆₇	1	2	yes	—
1141	C₂²×D₄	C₂³×C₆₇	1	2	yes	—
1142	C₂²×D₄	C₂³×C₆₇	1	2	yes	—
1143	C₂²×D₄	C₂³×C₆₇	1	8	yes	—
1144	C₂²×D₄	C₂³×C₆₇	1	4	yes	—
1145	C₂²×D₄	C₂³×C₆₇	1	4	yes	—
1146	C₂²×D₄	C₂³×C₆₇	1	8	yes	—
1147	C₂²×D₄	C₂³×C₆₇	1	4	yes	—
1148	C₂²×D₄	C₂³×C₆₇	1	2	yes	—
1149	C₂²×D₄	C₂³×C₆₇	1	4	yes	—
1150	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1151	C₂³×C₄	C₂³×C₆₇	1	2	yes	—
1152	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1153	C₂³×C₄	C₂³×C₆₇	1	4	yes	—
1154	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1155	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1156	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1157	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1158	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1159	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1160	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1161	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1162	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1163	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
1164	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
1165	C₄⋊Q₈	C₂³×C₆₇	1	8	yes	—
1166	#127	C₂³×C₆₇	1	1	yes	characteristic
1167	#127	C₂³×C₆₇	1	2	yes	—
1168	#127	C₂³×C₆₇	1	2	yes	—
1169	#127	C₂³×C₆₇	1	1	yes	characteristic
1170	#127	C₂³×C₆₇	1	2	yes	—
1171	#127	C₂³×C₆₇	1	1	yes	characteristic
1172	#127	C₂³×C₆₇	1	4	yes	—
1173	#127	C₂³×C₆₇	1	4	yes	—
1174	#127	C₂³×C₆₇	1	8	yes	—
1175	#126	C₂³×C₆₇	1	4	yes	—
1176	#126	C₂³×C₆₇	1	4	yes	—
1177	#126	C₂³×C₆₇	1	4	yes	—
1178	#126	C₂³×C₆₇	1	4	yes	—
1179	#126	C₂³×C₆₇	1	4	yes	—
1180	#126	C₂³×C₆₇	1	4	yes	—
1181	#126	C₂³×C₆₇	1	8	yes	—
1182	#126	C₂³×C₆₇	1	8	yes	—
1183	#126	C₂³×C₆₇	1	8	yes	—
1184	#126	C₂³×C₆₇	1	8	yes	—
1185	#126	C₂³×C₆₇	1	8	yes	—
1186	#126	C₂³×C₆₇	1	8	yes	—
1187	#126	C₂³×C₆₇	1	8	yes	—
1188	#125	C₂³×C₆₇	1	2	yes	—
1189	#125	C₂³×C₆₇	1	2	yes	—
1190	#125	C₂³×C₆₇	1	2	yes	—
1191	#125	C₂³×C₆₇	1	2	yes	—
1192	#125	C₂³×C₆₇	1	2	yes	—
1193	#125	C₂³×C₆₇	1	2	yes	—
1194	#125	C₂³×C₆₇	1	2	yes	—
1195	#125	C₂³×C₆₇	1	4	yes	—
1196	#125	C₂³×C₆₇	1	8	yes	—
1197	#125	C₂³×C₆₇	1	8	yes	—
1198	#125	C₂³×C₆₇	1	8	yes	—
1199	#124	C₂³×C₆₇	1	2	yes	—
1200	#124	C₂³×C₆₇	1	2	yes	—
1201	#124	C₂³×C₆₇	1	2	yes	—
1202	#124	C₂³×C₆₇	1	2	yes	—
1203	#124	C₂³×C₆₇	1	2	yes	—
1204	#124	C₂³×C₆₇	1	2	yes	—
1205	#124	C₂³×C₆₇	1	2	yes	—
1206	#124	C₂³×C₆₇	1	4	yes	—
1207	#124	C₂³×C₆₇	1	2	yes	—
1208	#124	C₂³×C₆₇	1	4	yes	—
1209	#124	C₂³×C₆₇	1	4	yes	—
1210	#124	C₂³×C₆₇	1	4	yes	—
1211	#124	C₂³×C₆₇	1	8	yes	—
1212	#124	C₂³×C₆₇	1	8	yes	—
1213	#124	C₂³×C₆₇	1	2	yes	—
1214	#124	C₂³×C₆₇	1	2	yes	—
1215	#124	C₂³×C₆₇	1	2	yes	—
1216	#124	C₂³×C₆₇	1	4	yes	—
1217	#124	C₂³×C₆₇	1	8	yes	—
1218	#124	C₂³×C₆₇	1	8	yes	—
1219	#124	C₂³×C₆₇	1	8	yes	—
1220	#124	C₂³×C₆₇	1	8	yes	—
1221	#123	C₂³×C₆₇	1	4	yes	—
1222	#123	C₂³×C₆₇	1	4	yes	—
1223	#123	C₂³×C₆₇	1	4	yes	—
1224	#123	C₂³×C₆₇	1	4	yes	—
1225	#123	C₂³×C₆₇	1	4	yes	—
1226	#123	C₂³×C₆₇	1	4	yes	—
1227	#123	C₂³×C₆₇	1	4	yes	—
1228	#123	C₂³×C₆₇	1	8	yes	—
1229	#123	C₂³×C₆₇	1	8	yes	—
1230	#123	C₂³×C₆₇	1	8	yes	—
1231	#123	C₂³×C₆₇	1	8	yes	—
1232	#123	C₂³×C₆₇	1	8	yes	—
1233	#123	C₂³×C₆₇	1	8	yes	—
1234	#123	C₂³×C₆₇	1	8	yes	—
1235	#123	C₂³×C₆₇	1	8	yes	—
1236	#123	C₂³×C₆₇	1	8	yes	—
1237	#123	C₂³×C₆₇	1	8	yes	—
1238	#123	C₂³×C₆₇	1	8	yes	—
1239	#123	C₂³×C₆₇	1	8	yes	—
1240	#123	C₂³×C₆₇	1	8	yes	—
1241	#123	C₂³×C₆₇	1	8	yes	—
1242	#123	C₂³×C₆₇	1	8	yes	—
1243	#123	C₂³×C₆₇	1	8	yes	—
1244	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1245	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1246	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1247	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1248	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1249	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1250	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1251	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1252	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1253	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1254	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1255	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1256	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1257	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1258	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1259	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1260	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1261	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1262	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1263	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1264	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1265	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1266	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1267	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1268	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1269	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1270	#121	C₂³×C₆₇	1	2	yes	—
1271	#121	C₂³×C₆₇	1	2	yes	—
1272	#121	C₂³×C₆₇	1	2	yes	—
1273	#121	C₂³×C₆₇	1	2	yes	—
1274	#121	C₂³×C₆₇	1	2	yes	—
1275	#121	C₂³×C₆₇	1	2	yes	—
1276	#121	C₂³×C₆₇	1	2	yes	—
1277	#121	C₂³×C₆₇	1	2	yes	—
1278	#121	C₂³×C₆₇	1	2	yes	—
1279	#121	C₂³×C₆₇	1	2	yes	—
1280	#121	C₂³×C₆₇	1	2	yes	—
1281	#121	C₂³×C₆₇	1	4	yes	—
1282	#121	C₂³×C₆₇	1	2	yes	—
1283	#121	C₂³×C₆₇	1	4	yes	—
1284	#121	C₂³×C₆₇	1	4	yes	—
1285	#121	C₂³×C₆₇	1	2	yes	—
1286	#121	C₂³×C₆₇	1	2	yes	—
1287	#121	C₂³×C₆₇	1	4	yes	—
1288	#121	C₂³×C₆₇	1	8	yes	—
1289	#121	C₂³×C₆₇	1	4	yes	—
1290	#121	C₂³×C₆₇	1	4	yes	—
1291	#121	C₂³×C₆₇	1	8	yes	—
1292	#121	C₂³×C₆₇	1	8	yes	—
1293	#121	C₂³×C₆₇	1	8	yes	—
1294	#121	C₂³×C₆₇	1	4	yes	—
1295	#121	C₂³×C₆₇	1	4	yes	—
1296	#121	C₂³×C₆₇	1	2	yes	—
1297	#121	C₂³×C₆₇	1	2	yes	—
1298	#121	C₂³×C₆₇	1	2	yes	—
1299	#121	C₂³×C₆₇	1	2	yes	—
1300	#121	C₂³×C₆₇	1	4	yes	—
1301	#121	C₂³×C₆₇	1	4	yes	—
1302	#121	C₂³×C₆₇	1	4	yes	—
1303	#121	C₂³×C₆₇	1	4	yes	—
1304	#121	C₂³×C₆₇	1	4	yes	—
1305	#121	C₂³×C₆₇	1	8	yes	—
1306	#121	C₂³×C₆₇	1	8	yes	—
1307	#121	C₂³×C₆₇	1	8	yes	—
1308	#121	C₂³×C₆₇	1	8	yes	—
1309	#121	C₂³×C₆₇	1	8	yes	—
1310	#121	C₂³×C₆₇	1	8	yes	—
1311	#121	C₂³×C₆₇	1	8	yes	—
1312	#121	C₂³×C₆₇	1	8	yes	—
1313	#121	C₂³×C₆₇	1	8	yes	—
1314	#121	C₂³×C₆₇	1	8	yes	—
1315	#121	C₂³×C₆₇	1	8	yes	—
1316	#121	C₂³×C₆₇	1	8	yes	—
1317	#121	C₂³×C₆₇	1	8	yes	—
1318	#121	C₂³×C₆₇	1	8	yes	—
1319	#121	C₂³×C₆₇	1	8	yes	—
1320	#121	C₂³×C₆₇	1	8	yes	—
1321	#120	C₂³×C₆₇	1	4	yes	—
1322	#120	C₂³×C₆₇	1	8	yes	—
1323	#120	C₂³×C₆₇	1	8	yes	—
1324	#120	C₂³×C₆₇	1	8	yes	—
1325	#120	C₂³×C₆₇	1	8	yes	—
1326	#120	C₂³×C₆₇	1	8	yes	—
1327	#120	C₂³×C₆₇	1	8	yes	—
1328	#120	C₂³×C₆₇	1	8	yes	—
1329	#120	C₂³×C₆₇	1	8	yes	—
1330	#120	C₂³×C₆₇	1	8	yes	—
1331	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1332	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1333	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1334	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1335	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1336	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1337	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1338	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1339	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1340	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1341	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1342	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1343	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1344	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1345	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1346	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1347	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1348	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1349	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1350	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1351	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1352	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1353	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1354	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1355	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1356	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1357	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1358	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1359	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1360	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1361	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1362	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1363	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1364	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1365	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1366	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1367	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1368	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1369	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1370	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1371	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1372	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1373	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1374	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1375	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1376	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1377	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1378	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1379	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1380	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1381	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1382	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1383	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1384	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1385	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1386	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1387	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1388	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1389	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1390	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1391	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1392	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1393	#117	C₂³×C₆₇	1	4	yes	—
1394	#117	C₂³×C₆₇	1	4	yes	—
1395	#117	C₂³×C₆₇	1	4	yes	—
1396	#117	C₂³×C₆₇	1	4	yes	—
1397	#117	C₂³×C₆₇	1	2	yes	—
1398	#117	C₂³×C₆₇	1	2	yes	—
1399	#117	C₂³×C₆₇	1	2	yes	—
1400	#117	C₂³×C₆₇	1	4	yes	—
1401	#117	C₂³×C₆₇	1	4	yes	—
1402	#117	C₂³×C₆₇	1	4	yes	—
1403	#117	C₂³×C₆₇	1	4	yes	—
1404	#117	C₂³×C₆₇	1	8	yes	—
1405	#117	C₂³×C₆₇	1	8	yes	—
1406	#117	C₂³×C₆₇	1	4	yes	—
1407	#117	C₂³×C₆₇	1	4	yes	—
1408	#117	C₂³×C₆₇	1	8	yes	—
1409	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1410	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1411	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1412	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1413	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1414	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1415	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1416	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1417	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1418	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1419	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1420	C₂×C₄⋊C₄	C₂³×C₆₇	1	8	yes	—
1421	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1422	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1423	C₂×C₂²⋊C₄	C₂³×C₆₇	1	4	yes	—
1424	C₂×C₂²⋊C₄	C₂³×C₆₇	1	4	yes	—
1425	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1426	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1427	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1428	C₂×C₂²⋊C₄	C₂³×C₆₇	1	8	yes	—
1429	C₂×C₂²⋊C₄	C₂³×C₆₇	1	8	yes	—
1430	C₂×C₂²⋊C₄	C₂³×C₆₇	1	8	yes	—
1431	C₂×C₂²⋊C₄	C₂³×C₆₇	1	8	yes	—
1432	C₂×C₂²⋊C₄	C₂³×C₆₇	1	8	yes	—
1433	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1434	C₂×C₄²	C₂³×C₆₇	1	2	yes	—
1435	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1436	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1437	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1438	C₂×C₄²	C₂³×C₆₇	1	4	yes	—
1439	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1440	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1441	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1442	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1443	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1444	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1445	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1446	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1447	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1448	C₂⁴	C₂⁴×C₆₇	1	2	yes	—
1449	C₂⁴	C₂⁴×C₆₇	1	4	yes	—
1450	C₂⁴	C₂⁴×C₆₇	1	8	yes	—
1451	#41	—	2	8	no	—
1452	#41	—	2	8	no	—
1453	#41	—	2	8	no	—
1454	#41	—	4	8	no	—
1455	#41	—	4	8	no	—
1456	#41	—	4	16	no	—
1457	#41	—	4	4	no	—
1458	#41	—	4	4	no	—
1459	#41	—	4	4	no	—
1460	#41	—	4	8	no	—
1461	#41	—	4	8	no	—
1462	#41	—	4	8	no	—
1463	#41	—	4	8	no	—
1464	#41	—	4	8	no	—
1465	#41	—	4	4	no	—
1466	C₂×Q₈	—	2	4	no	—
1467	C₂×Q₈	—	4	4	no	—
1468	C₂×Q₈	—	4	8	no	—
1469	C₂×Q₈	—	4	8	no	—
1470	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1471	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1472	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1473	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1474	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1475	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1476	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1477	C₂×Q₈	C₂⁴×C₆₇	1	8	yes	—
1478	C₂×Q₈	C₂⁴×C₆₇	1	4	yes	—
1479	C₂×D₄	—	2	4	no	—
1480	C₂×D₄	—	4	4	no	—
1481	C₂×D₄	—	4	8	no	—
1482	C₂×D₄	—	4	8	no	—
1483	C₂×D₄	—	4	4	no	—
1484	C₂×D₄	—	4	8	no	—
1485	C₂×D₄	—	4	4	no	—
1486	C₂×D₄	—	4	8	no	—
1487	C₂×D₄	—	4	16	no	—
1488	C₂×D₄	—	4	4	no	—
1489	C₂×D₄	—	4	16	no	—
1490	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1491	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1492	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1493	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1494	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1495	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1496	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1497	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1498	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1499	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1500	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1501	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1502	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1503	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1504	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1505	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1506	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1507	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1508	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1509	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1510	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1511	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1512	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1513	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1514	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1515	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1516	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1517	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1518	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1519	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1520	C₂²×C₄	—	2	4	no	—
1521	C₂²×C₄	—	4	8	no	—
1522	C₂²×C₄	—	4	2	no	—
1523	C₂²×C₄	—	4	4	no	—
1524	C₂²×C₄	—	4	2	no	—
1525	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1526	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1527	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1528	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1529	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1530	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1531	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1532	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1533	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1534	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1535	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
1536	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1537	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1538	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1539	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1540	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1541	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1542	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1543	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1544	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1545	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1546	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1547	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1548	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1549	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
1550	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
1551	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1552	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1553	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1554	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1555	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1556	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1557	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1558	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1559	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1560	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1561	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1562	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1563	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1564	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1565	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1566	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1567	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1568	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1569	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1570	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1571	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1572	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1573	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1574	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1575	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1576	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1577	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1578	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1579	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1580	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1581	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1582	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1583	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1584	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1585	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1586	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1587	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1588	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1589	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1590	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1591	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1592	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1593	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1594	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1595	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1596	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1597	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1598	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1599	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1600	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1601	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1602	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1603	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1604	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1605	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1606	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1607	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1608	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1609	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1610	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1611	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1612	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1613	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1614	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1615	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1616	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1617	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1618	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1619	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1620	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1621	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1622	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1623	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1624	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1625	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1626	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1627	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1628	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1629	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1630	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1631	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1632	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1633	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1634	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1635	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1636	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1637	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1638	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1639	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1640	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1641	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1642	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1643	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1644	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1645	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1646	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1647	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1648	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1649	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1650	C₄²	C₂⁴×C₆₇	1	4	yes	—
1651	C₄²	C₂⁴×C₆₇	1	4	yes	—
1652	C₄²	C₂⁴×C₆₇	1	4	yes	—
1653	C₄²	C₂⁴×C₆₇	1	4	yes	—
1654	C₄²	C₂⁴×C₆₇	1	4	yes	—
1655	C₄²	C₂⁴×C₆₇	1	8	yes	—
1656	C₄²	C₂⁴×C₆₇	1	8	yes	—
1657	C₂³	—	2	2	no	—
1658	C₂³	—	2	2	no	—
1659	C₂³	—	2	4	no	—
1660	C₂³	—	2	8	no	—
1661	C₂³	—	4	1	no	—
1662	C₂³	—	4	4	no	—
1663	C₂³	—	4	2	no	—
1664	C₂³	—	4	4	no	—
1665	C₂³	—	4	2	no	—
1666	C₂³	—	4	8	no	—
1667	C₂³	—	4	8	no	—
1668	C₂³	—	4	8	no	—
1669	C₂³	C₂⁵×C₆₇	1	4	yes	—
1670	C₂³	C₂⁵×C₆₇	1	4	yes	—
1671	C₂³	C₂⁵×C₆₇	1	4	yes	—
1672	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1673	C₂³	C₂⁵×C₆₇	1	4	yes	—
1674	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1675	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1676	Q₈	—	2	4	no	—
1677	Q₈	—	2	4	no	—
1678	Q₈	—	2	4	no	—
1679	Q₈	—	2	4	no	—
1680	Q₈	—	2	4	no	—
1681	Q₈	—	2	4	no	—
1682	Q₈	—	4	8	no	—
1683	Q₈	—	4	4	no	—
1684	Q₈	—	4	2	no	—
1685	D₄	—	2	8	no	—
1686	D₄	—	2	8	no	—
1687	D₄	—	2	8	no	—
1688	D₄	—	2	8	no	—
1689	D₄	—	2	8	no	—
1690	D₄	—	2	4	no	—
1691	D₄	—	2	4	no	—
1692	D₄	—	2	4	no	—
1693	D₄	—	2	4	no	—
1694	D₄	—	2	4	no	—
1695	D₄	—	2	4	no	—
1696	D₄	—	2	4	no	—
1697	D₄	—	2	4	no	—
1698	D₄	—	4	8	no	—
1699	D₄	—	4	8	no	—
1700	D₄	—	4	4	no	—
1701	D₄	—	4	4	no	—
1702	D₄	—	4	4	no	—
1703	D₄	—	4	8	no	—
1704	D₄	—	4	4	no	—
1705	D₄	—	4	2	no	—
1706	D₄	—	4	4	no	—
1707	D₄	—	4	2	no	—
1708	D₄	—	4	4	no	—
1709	D₄	—	4	8	no	—
1710	D₄	—	4	8	no	—
1711	D₄	—	4	8	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	4	4	no	—
1714	D₄	—	4	8	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	4	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	2	no	—
1722	C₂×C₄	—	2	2	no	—
1723	C₂×C₄	—	2	8	no	—
1724	C₂×C₄	—	2	8	no	—
1725	C₂×C₄	—	2	8	no	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	2	no	—
1728	C₂×C₄	—	2	8	no	—
1729	C₂×C₄	—	2	2	no	—
1730	C₂×C₄	—	4	4	no	—
1731	C₂×C₄	—	4	4	no	—
1732	C₂×C₄	—	4	4	no	—
1733	C₂×C₄	—	4	1	no	—
1734	C₂×C₄	—	4	4	no	—
1735	C₂×C₄	—	4	1	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	4	1	no	—
1738	C₂×C₄	—	4	1	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	1	no	—
1741	C₂×C₄	—	4	1	no	—
1742	C₂×C₄	—	4	8	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	4	8	no	—
1745	C₂×C₄	—	4	8	no	—
1746	C₂×C₄	—	4	8	no	—
1747	C₂×C₄	—	4	4	no	—
1748	C₂×C₄	—	4	4	no	—
1749	C₂×C₄	—	4	8	no	—
1750	C₂×C₄	H(5,𝔽₂)×C₆₇	1	4	yes	—
1751	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1752	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1753	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1754	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1755	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1756	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1757	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1758	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1759	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1760	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1761	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1762	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1763	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1764	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1765	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1766	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1767	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1768	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1769	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1770	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1771	C₂²	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	4	no	—
1777	C₂²	—	2	4	no	—
1778	C₂²	—	2	4	no	—
1779	C₂²	—	2	4	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	4	no	—
1782	C₂²	—	2	4	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	4	no	—
1785	C₂²	—	2	4	no	—
1786	C₂²	—	2	4	no	—
1787	C₂²	—	2	4	no	—
1788	C₂²	—	2	4	no	—
1789	C₂²	—	2	4	no	—
1790	C₂²	—	4	4	no	—
1791	C₂²	—	8	8	no	—
1792	C₂²	—	8	4	no	—
1793	C₂²	—	16	8	no	—
1794	C₂²	C₂×H(5,𝔽₂)×C₆₇	1	2	yes	—
1795	C₂²	#585×C₆₇	1	2	yes	—
1796	C₂²	C₂⁶×C₆₇	1	1	yes	characteristic
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	4	no	—
1800	C₄	—	2	4	no	—
1801	C₄	—	2	4	no	—
1802	C₄	—	2	4	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	4	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	4	no	—
1812	C₄	—	2	4	no	—
1813	C₄	—	2	4	no	—
1814	C₄	C₂×H(5,𝔽₂)×C₆₇	1	2	yes	—
1815	C₄	C₂×H(5,𝔽₂)×C₆₇	1	2	yes	—
1816	C₄	#585×C₆₇	1	2	yes	—
1817	C₂	—	2	2	no	—
1818	C₂	—	2	2	no	—
1819	C₂	—	4	1	no	—
1820	C₂	—	4	4	no	—
1821	C₂	—	4	4	no	—
1822	C₂	—	4	4	no	—
1823	C₂	—	4	4	no	—
1824	C₂	C₂²×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1825	C₂	C₂×#585×C₆₇	1	1	yes	characteristic
1826	C₂	C₂×#585×C₆₇	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₆₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3562	C₂	semidirect
2. C₆₇×#3560	C₂	semidirect
3. C₆₇×#3552	C₂	semidirect
4. C₆₇×#3551	C₂	semidirect
5. C₆₇×#3547	C₂	semidirect
6. C₆₇×#3546	C₂	semidirect
7. C₆₇×#3543	C₂	semidirect
8. C₆₇×#3534	C₂	semidirect
9. C₆₇×#3520	C₂	semidirect
10. C₆₇×#3519	C₂	semidirect
11. C₆₇×#3519	C₂	semidirect
12. C₆₇×#3517	C₂	semidirect
13. C₆₇×#3514	C₂	semidirect
14. C₆₇×#3514	C₂	semidirect
15. C₆₇×#3512	C₂	semidirect
16. C₆₇×#3507	C₂	semidirect
17. C₆₇×#3506	C₂	semidirect
18. C₆₇×#3505	C₂	semidirect
19. C₆₇×#3500	C₂	semidirect
20. C₆₇×#3497	C₂	semidirect
21. C₆₇×#3496	C₂	semidirect
22. C₆₇×#3494	C₂	semidirect
23. C₆₇×#3489	C₂	semidirect
24. C₆₇×#3488	C₂	semidirect
25. C₆₇×#3444	C₂	semidirect
26. C₂×#532×C₆₇	C₂	semidirect
27. C₂×#529×C₆₇	C₂	semidirect
28. C₂×2₋¹⁺⁴×C₆₇	C₂²	semidirect
29. C₂×H(5,𝔽₂)×C₆₇	C₂²	semidirect
30. C₂²×#41×C₆₇	C₂²	semidirect
31. #563×C₆₇	C₂²	semidirect
32. #562×C₆₇	C₂²	semidirect
33. #560×C₆₇	C₂²	semidirect
34. #560×C₆₇	C₂²	semidirect
35. #559×C₆₇	C₂²	semidirect
36. #559×C₆₇	C₂²	semidirect
37. #557×C₆₇	C₂²	semidirect
38. #556×C₆₇	C₂²	semidirect
39. #556×C₆₇	C₂²	semidirect
40. #556×C₆₇	C₂²	semidirect
41. #555×C₆₇	C₂²	semidirect
42. #555×C₆₇	C₂²	semidirect
43. #555×C₆₇	C₂²	semidirect
44. #554×C₆₇	C₂²	semidirect
45. #554×C₆₇	C₂²	semidirect
46. #553×C₆₇	C₂²	semidirect
47. #553×C₆₇	C₂²	semidirect
48. #553×C₆₇	C₂²	semidirect
49. #553×C₆₇	C₂²	semidirect
50. #553×C₆₇	C₂²	semidirect
51. #553×C₆₇	C₂²	semidirect
52. #553×C₆₇	C₂²	semidirect
53. #553×C₆₇	C₂²	semidirect
54. #553×C₆₇	C₂²	semidirect
55. #552×C₆₇	C₂²	semidirect
56. #552×C₆₇	C₂²	semidirect
57. #552×C₆₇	C₂²	semidirect
58. #551×C₆₇	C₂²	semidirect
59. #551×C₆₇	C₂²	semidirect
60. #551×C₆₇	C₂²	semidirect
61. #551×C₆₇	C₂²	semidirect
62. #550×C₆₇	C₂²	semidirect
63. #550×C₆₇	C₂²	semidirect
64. #550×C₆₇	C₂²	semidirect
65. #550×C₆₇	C₂²	semidirect
66. #550×C₆₇	C₂²	semidirect
67. D₄×Q₈×C₆₇	C₂²	semidirect
68. D₄×Q₈×C₆₇	C₂²	semidirect
69. D₄×Q₈×C₆₇	C₂²	semidirect
70. #548×C₆₇	C₂²	semidirect
71. #548×C₆₇	C₂²	semidirect
72. #548×C₆₇	C₂²	semidirect
73. #548×C₆₇	C₂²	semidirect
74. #548×C₆₇	C₂²	semidirect
75. #548×C₆₇	C₂²	semidirect
76. #547×C₆₇	C₂²	semidirect
77. #547×C₆₇	C₂²	semidirect
78. #547×C₆₇	C₂²	semidirect
79. #547×C₆₇	C₂²	semidirect
80. #547×C₆₇	C₂²	semidirect
81. #546×C₆₇	C₂²	semidirect
82. #546×C₆₇	C₂²	semidirect
83. #546×C₆₇	C₂²	semidirect
84. #546×C₆₇	C₂²	semidirect
85. #546×C₆₇	C₂²	semidirect
86. #546×C₆₇	C₂²	semidirect
87. #546×C₆₇	C₂²	semidirect
88. #546×C₆₇	C₂²	semidirect
89. #546×C₆₇	C₂²	semidirect
90. #546×C₆₇	C₂²	semidirect
91. #546×C₆₇	C₂²	semidirect
92. #546×C₆₇	C₂²	semidirect
93. #546×C₆₇	C₂²	semidirect
94. D₄²×C₆₇	C₂²	semidirect
95. D₄²×C₆₇	C₂²	semidirect
96. D₄²×C₆₇	C₂²	semidirect
97. D₄²×C₆₇	C₂²	semidirect
98. D₄²×C₆₇	C₂²	semidirect
99. #544×C₆₇	C₂²	semidirect
100. #542×C₆₇	C₂²	semidirect
101. #542×C₆₇	C₂²	semidirect
102. #542×C₆₇	C₂²	semidirect
103. #541×C₆₇	C₂²	semidirect
104. #540×C₆₇	C₂²	semidirect
105. #540×C₆₇	C₂²	semidirect
106. #540×C₆₇	C₂²	semidirect
107. #540×C₆₇	C₂²	semidirect
108. #540×C₆₇	C₂²	semidirect
109. #539×C₆₇	C₂²	semidirect
110. #539×C₆₇	C₂²	semidirect
111. #539×C₆₇	C₂²	semidirect
112. #538×C₆₇	C₂²	semidirect
113. #538×C₆₇	C₂²	semidirect
114. #538×C₆₇	C₂²	semidirect
115. #538×C₆₇	C₂²	semidirect
116. #538×C₆₇	C₂²	semidirect
117. #538×C₆₇	C₂²	semidirect
118. #537×C₆₇	C₂²	semidirect
119. #537×C₆₇	C₂²	semidirect
120. #537×C₆₇	C₂²	semidirect
121. #537×C₆₇	C₂²	semidirect
122. #537×C₆₇	C₂²	semidirect
123. #536×C₆₇	C₂²	semidirect
124. #536×C₆₇	C₂²	semidirect
125. #536×C₆₇	C₂²	semidirect
126. #535×C₆₇	C₂²	semidirect
127. #535×C₆₇	C₂²	semidirect
128. #535×C₆₇	C₂²	semidirect
129. #535×C₆₇	C₂²	semidirect
130. #534×C₆₇	C₂²	semidirect
131. #534×C₆₇	C₂²	semidirect
132. #533×C₆₇	C₂²	semidirect
133. #533×C₆₇	C₂²	semidirect
134. #533×C₆₇	C₂²	semidirect
136. #532×C₆₇	C₂²	semidirect
137. #532×C₆₇	C₂²	semidirect
138. #532×C₆₇	C₂²	semidirect
139. #532×C₆₇	C₂²	semidirect
140. #532×C₆₇	C₂²	semidirect
141. #532×C₆₇	C₂²	semidirect
142. #532×C₆₇	C₂²	semidirect
143. #532×C₆₇	C₂²	semidirect
144. #532×C₆₇	C₂²	semidirect
145. #532×C₆₇	C₂²	semidirect
146. #532×C₆₇	C₂²	semidirect
147. #532×C₆₇	C₂²	semidirect
148. #532×C₆₇	C₂²	semidirect
149. #532×C₆₇	C₂²	semidirect
150. C₂×C₄⋊Q₈×C₆₇	C₂²	semidirect
151. C₂×#127×C₆₇	C₂²	semidirect
152. #529×C₆₇	C₂²	semidirect
153. #529×C₆₇	C₂²	semidirect
154. #529×C₆₇	C₂²	semidirect
155. #529×C₆₇	C₂²	semidirect
156. #529×C₆₇	C₂²	semidirect
157. #529×C₆₇	C₂²	semidirect
158. #529×C₆₇	C₂²	semidirect
159. #529×C₆₇	C₂²	semidirect
160. #529×C₆₇	C₂²	semidirect
161. #529×C₆₇	C₂²	semidirect
162. #529×C₆₇	C₂²	semidirect
163. #529×C₆₇	C₂²	semidirect
164. #529×C₆₇	C₂²	semidirect
165. #529×C₆₇	C₂²	semidirect
166. #529×C₆₇	C₂²	semidirect
167. #529×C₆₇	C₂²	semidirect
168. #529×C₆₇	C₂²	semidirect
169. C₂×#126×C₆₇	C₂²	semidirect
170. C₂×#125×C₆₇	C₂²	semidirect
171. C₂×#124×C₆₇	C₂²	semidirect
172. C₂×#124×C₆₇	C₂²	semidirect
173. C₂×#124×C₆₇	C₂²	semidirect
174. #525×C₆₇	C₂²	semidirect
175. #525×C₆₇	C₂²	semidirect
176. #525×C₆₇	C₂²	semidirect
177. #525×C₆₇	C₂²	semidirect
178. #525×C₆₇	C₂²	semidirect
179. #525×C₆₇	C₂²	semidirect
180. C₂×#123×C₆₇	C₂²	semidirect
181. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
182. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
184. C₂×#121×C₆₇	C₂²	semidirect
185. C₂×#121×C₆₇	C₂²	semidirect
186. C₂×#121×C₆₇	C₂²	semidirect
187. C₂×#121×C₆₇	C₂²	semidirect
188. #520×C₆₇	C₂²	semidirect
189. #520×C₆₇	C₂²	semidirect
190. #520×C₆₇	C₂²	semidirect
191. #518×C₆₇	C₂²	semidirect
192. #518×C₆₇	C₂²	semidirect
193. C₄×#41×C₆₇	C₂²	semidirect
194. C₄×#41×C₆₇	C₂²	semidirect
195. C₄×#41×C₆₇	C₂²	semidirect
196. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
197. C₂×C₄×D₄×C₆₇	C₂²	semidirect
198. C₂×C₄×D₄×C₆₇	C₂²	semidirect
199. C₂×C₄×D₄×C₆₇	C₂²	semidirect
200. C₂×C₄×D₄×C₆₇	C₂²	semidirect
201. C₂×#117×C₆₇	C₂²	semidirect
202. C₂²×C₄²×C₆₇	C₂²	semidirect
903. #62830	C₆₇	direct (N × H)
914. #3562	C₂×C₆₇	semidirect
915. #3560	C₂×C₆₇	semidirect
916. #3552	C₂×C₆₇	semidirect
917. #3551	C₂×C₆₇	semidirect
918. #3547	C₂×C₆₇	semidirect
919. #3546	C₂×C₆₇	semidirect
920. #3543	C₂×C₆₇	semidirect
921. #3534	C₂×C₆₇	semidirect
922. #3520	C₂×C₆₇	semidirect
923. #3519	C₂×C₆₇	semidirect
924. #3519	C₂×C₆₇	semidirect
925. #3517	C₂×C₆₇	semidirect
926. #3514	C₂×C₆₇	semidirect
927. #3514	C₂×C₆₇	semidirect
928. #3512	C₂×C₆₇	semidirect
929. #3507	C₂×C₆₇	semidirect
930. #3506	C₂×C₆₇	semidirect
931. #3505	C₂×C₆₇	semidirect
932. #3500	C₂×C₆₇	semidirect
933. #3497	C₂×C₆₇	semidirect
934. #3496	C₂×C₆₇	semidirect
935. #3494	C₂×C₆₇	semidirect
936. #3489	C₂×C₆₇	semidirect
937. #3488	C₂×C₆₇	semidirect
938. #3444	C₂×C₆₇	semidirect
939. C₂×#532	C₂×C₆₇	semidirect
940. C₂×#529	C₂×C₆₇	semidirect
941. C₆₇	#62830	direct (N × H)
942. C₂×2₋¹⁺⁴	C₂²×C₆₇	semidirect
943. C₂×H(5,𝔽₂)	C₂²×C₆₇	semidirect
944. C₂²×#41	C₂²×C₆₇	semidirect
945. #563	C₂²×C₆₇	semidirect
946. #562	C₂²×C₆₇	semidirect
947. #560	C₂²×C₆₇	semidirect
948. #560	C₂²×C₆₇	semidirect
949. #559	C₂²×C₆₇	semidirect
950. #559	C₂²×C₆₇	semidirect
951. #557	C₂²×C₆₇	semidirect
952. #556	C₂²×C₆₇	semidirect
953. #556	C₂²×C₆₇	semidirect
954. #556	C₂²×C₆₇	semidirect
955. #555	C₂²×C₆₇	semidirect
956. #555	C₂²×C₆₇	semidirect
957. #555	C₂²×C₆₇	semidirect
958. #554	C₂²×C₆₇	semidirect
959. #554	C₂²×C₆₇	semidirect
960. #553	C₂²×C₆₇	semidirect
961. #553	C₂²×C₆₇	semidirect
962. #553	C₂²×C₆₇	semidirect
963. #553	C₂²×C₆₇	semidirect
964. #553	C₂²×C₆₇	semidirect
965. #553	C₂²×C₆₇	semidirect
966. #553	C₂²×C₆₇	semidirect
967. #553	C₂²×C₆₇	semidirect
968. #553	C₂²×C₆₇	semidirect
969. #552	C₂²×C₆₇	semidirect
970. #552	C₂²×C₆₇	semidirect
971. #552	C₂²×C₆₇	semidirect
972. #551	C₂²×C₆₇	semidirect
973. #551	C₂²×C₆₇	semidirect
974. #551	C₂²×C₆₇	semidirect
975. #551	C₂²×C₆₇	semidirect
976. #550	C₂²×C₆₇	semidirect
977. #550	C₂²×C₆₇	semidirect
978. #550	C₂²×C₆₇	semidirect
979. #550	C₂²×C₆₇	semidirect
980. #550	C₂²×C₆₇	semidirect
981. D₄×Q₈	C₂²×C₆₇	semidirect
982. D₄×Q₈	C₂²×C₆₇	semidirect
983. D₄×Q₈	C₂²×C₆₇	semidirect
984. #548	C₂²×C₆₇	semidirect
985. #548	C₂²×C₆₇	semidirect
986. #548	C₂²×C₆₇	semidirect
987. #548	C₂²×C₆₇	semidirect
988. #548	C₂²×C₆₇	semidirect
989. #548	C₂²×C₆₇	semidirect
990. #547	C₂²×C₆₇	semidirect
991. #547	C₂²×C₆₇	semidirect
992. #547	C₂²×C₆₇	semidirect
993. #547	C₂²×C₆₇	semidirect
994. #547	C₂²×C₆₇	semidirect
995. #546	C₂²×C₆₇	semidirect
996. #546	C₂²×C₆₇	semidirect
997. #546	C₂²×C₆₇	semidirect
998. #546	C₂²×C₆₇	semidirect
999. #546	C₂²×C₆₇	semidirect
1000. #546	C₂²×C₆₇	semidirect
1001. #546	C₂²×C₆₇	semidirect
1002. #546	C₂²×C₆₇	semidirect
1003. #546	C₂²×C₆₇	semidirect
1004. #546	C₂²×C₆₇	semidirect
1005. #546	C₂²×C₆₇	semidirect
1006. #546	C₂²×C₆₇	semidirect
1007. #546	C₂²×C₆₇	semidirect
1008. D₄²	C₂²×C₆₇	semidirect
1009. D₄²	C₂²×C₆₇	semidirect
1010. D₄²	C₂²×C₆₇	semidirect
1011. D₄²	C₂²×C₆₇	semidirect
1012. D₄²	C₂²×C₆₇	semidirect
1013. #544	C₂²×C₆₇	semidirect
1014. #542	C₂²×C₆₇	semidirect
1015. #542	C₂²×C₆₇	semidirect
1016. #542	C₂²×C₆₇	semidirect
1017. #541	C₂²×C₆₇	semidirect
1018. #540	C₂²×C₆₇	semidirect
1019. #540	C₂²×C₆₇	semidirect
1020. #540	C₂²×C₆₇	semidirect
1021. #540	C₂²×C₆₇	semidirect
1022. #540	C₂²×C₆₇	semidirect
1023. #539	C₂²×C₆₇	semidirect
1024. #539	C₂²×C₆₇	semidirect
1025. #539	C₂²×C₆₇	semidirect
1026. #538	C₂²×C₆₇	semidirect
1027. #538	C₂²×C₆₇	semidirect
1028. #538	C₂²×C₆₇	semidirect
1029. #538	C₂²×C₆₇	semidirect
1030. #538	C₂²×C₆₇	semidirect
1031. #538	C₂²×C₆₇	semidirect
1032. #537	C₂²×C₆₇	semidirect
1033. #537	C₂²×C₆₇	semidirect
1034. #537	C₂²×C₆₇	semidirect
1035. #537	C₂²×C₆₇	semidirect
1036. #537	C₂²×C₆₇	semidirect
1037. #536	C₂²×C₆₇	semidirect
1038. #536	C₂²×C₆₇	semidirect
1039. #536	C₂²×C₆₇	semidirect
1040. #535	C₂²×C₆₇	semidirect
1041. #535	C₂²×C₆₇	semidirect
1042. #535	C₂²×C₆₇	semidirect
1043. #535	C₂²×C₆₇	semidirect
1044. #534	C₂²×C₆₇	semidirect
1045. #534	C₂²×C₆₇	semidirect
1046. #533	C₂²×C₆₇	semidirect
1047. #533	C₂²×C₆₇	semidirect
1048. #533	C₂²×C₆₇	semidirect
1050. #532	C₂²×C₆₇	semidirect
1051. #532	C₂²×C₆₇	semidirect
1052. #532	C₂²×C₆₇	semidirect
1053. #532	C₂²×C₆₇	semidirect
1054. #532	C₂²×C₆₇	semidirect
1055. #532	C₂²×C₆₇	semidirect
1056. #532	C₂²×C₆₇	semidirect
1057. #532	C₂²×C₆₇	semidirect
1058. #532	C₂²×C₆₇	semidirect
1059. #532	C₂²×C₆₇	semidirect
1060. #532	C₂²×C₆₇	semidirect
1061. #532	C₂²×C₆₇	semidirect
1062. #532	C₂²×C₆₇	semidirect
1063. #532	C₂²×C₆₇	semidirect
1064. C₂×C₄⋊Q₈	C₂²×C₆₇	semidirect
1065. C₂×#127	C₂²×C₆₇	semidirect
1066. #529	C₂²×C₆₇	semidirect
1067. #529	C₂²×C₆₇	semidirect
1068. #529	C₂²×C₆₇	semidirect
1069. #529	C₂²×C₆₇	semidirect
1070. #529	C₂²×C₆₇	semidirect
1071. #529	C₂²×C₆₇	semidirect
1072. #529	C₂²×C₆₇	semidirect
1073. #529	C₂²×C₆₇	semidirect
1074. #529	C₂²×C₆₇	semidirect
1075. #529	C₂²×C₆₇	semidirect
1076. #529	C₂²×C₆₇	semidirect
1077. #529	C₂²×C₆₇	semidirect
1078. #529	C₂²×C₆₇	semidirect
1079. #529	C₂²×C₆₇	semidirect
1080. #529	C₂²×C₆₇	semidirect
1081. #529	C₂²×C₆₇	semidirect
1082. #529	C₂²×C₆₇	semidirect
1083. C₂×#126	C₂²×C₆₇	semidirect
1084. C₂×#125	C₂²×C₆₇	semidirect
1085. C₂×#124	C₂²×C₆₇	semidirect
1086. C₂×#124	C₂²×C₆₇	semidirect
1087. C₂×#124	C₂²×C₆₇	semidirect
1088. #525	C₂²×C₆₇	semidirect
1089. #525	C₂²×C₆₇	semidirect
1090. #525	C₂²×C₆₇	semidirect
1091. #525	C₂²×C₆₇	semidirect
1092. #525	C₂²×C₆₇	semidirect
1093. #525	C₂²×C₆₇	semidirect
1094. C₂×#123	C₂²×C₆₇	semidirect
1095. C₂×C₂²⋊Q₈	C₂²×C₆₇	semidirect
1096. C₂×C₂²⋊Q₈	C₂²×C₆₇	semidirect
1098. C₂×#121	C₂²×C₆₇	semidirect
1099. C₂×#121	C₂²×C₆₇	semidirect
1100. C₂×#121	C₂²×C₆₇	semidirect
1101. C₂×#121	C₂²×C₆₇	semidirect
1102. #520	C₂²×C₆₇	semidirect
1103. #520	C₂²×C₆₇	semidirect
1104. #520	C₂²×C₆₇	semidirect
1105. #518	C₂²×C₆₇	semidirect
1106. #518	C₂²×C₆₇	semidirect
1107. C₄×#41	C₂²×C₆₇	semidirect
1108. C₄×#41	C₂²×C₆₇	semidirect
1109. C₄×#41	C₂²×C₆₇	semidirect
1110. C₂×C₄×Q₈	C₂²×C₆₇	semidirect
1111. C₂×C₄×D₄	C₂²×C₆₇	semidirect
1112. C₂×C₄×D₄	C₂²×C₆₇	semidirect
1113. C₂×C₄×D₄	C₂²×C₆₇	semidirect
1114. C₂×C₄×D₄	C₂²×C₆₇	semidirect
1115. C₂×#117	C₂²×C₆₇	semidirect
1116. C₂²×C₄²	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×#3562	2
C₆₇×#3560	2
C₆₇×#3552	2
C₆₇×#3551	2
C₆₇×#3547	2
C₆₇×#3546	2
C₆₇×#3543	2
C₆₇×#3534	2
C₆₇×#3520	2
C₆₇×#3519	2
C₆₇×#3517	2
C₆₇×#3514	2
C₆₇×#3512	2
C₆₇×#3507	2
C₆₇×#3506	2
C₆₇×#3505	2
C₆₇×#3500	2
C₆₇×#3497	2
C₆₇×#3496	2
C₆₇×#3494	2
C₆₇×#3489	2
C₆₇×#3488	2
C₆₇×#3444	2
C₂×#532×C₆₇	2
C₂×#529×C₆₇	2
#62830	67

Subgroups — C67×#62830 #30742081

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#62830 #30742081