Subgroups — #31009222

Order 17152.

674 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#16863826	C₂	1	1	yes	maximal, characteristic
2	#22569086	C₂	1	1	yes	maximal, characteristic, complemented
3	#22562083	C₂	1	2	yes	maximal, complemented
4	#22562078	C₂	1	2	yes	maximal, complemented
5	C₄×#14523986	C₂	1	2	yes	maximal, complemented
6	C₄×#14523987	C₂	1	2	yes	maximal, complemented
7	C₂×#16863223	C₂	1	1	yes	maximal, characteristic, complemented
8	#22561921	C₂	1	1	yes	maximal, characteristic, complemented
9	#22561919	C₂	1	1	yes	maximal, characteristic, complemented
10	#22561806	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#2951	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14524065	C₂²	1	1	yes	characteristic
13	#16863876	—	2	1	no	—
14	#16863826	C₄	1	8	yes	complemented
15	C₂×#14523989	C₂²	1	1	yes	characteristic
16	C₂×#14523987	C₂²	1	1	yes	characteristic
17	C₂×#14523986	C₂²	1	1	yes	characteristic
18	C₂×#14523984	C₂²	1	1	yes	characteristic
19	C₂×#14523983	C₂²	1	1	yes	characteristic
20	C₂²×C₆₇⋊C₁₆	C₂²	1	1	yes	characteristic
21	#16863498	—	2	2	no	—
22	C₄×Dic₂₆₈	C₂²	1	2	yes	—
23	C₄×D₅₃₆	C₂²	1	2	yes	—
24	C₂×#14523977	C₂²	1	1	yes	characteristic
25	#16863398	—	2	1	no	—
26	#16863223	C₂²	1	2	yes	—
27	#16863223	C₂²	1	2	yes	—
28	#16863200	C₂²	1	2	yes	—
29	#16863199	C₂²	1	2	yes	—
30	#16863197	C₂²	1	2	yes	—
31	#16863196	C₂²	1	2	yes	—
32	#16863172	C₂²	1	2	yes	—
33	C₄×C₆₇⋊C₁₆	C₂²	1	2	yes	—
34	C₂×#135×C₆₇	C₂²	1	1	yes	characteristic
35	#520×C₆₇	—	2	1	no	—
36	#440×C₆₇	—	2	2	no	—
37	C₄×Q₁₆×C₆₇	C₂²	1	2	yes	—
38	C₄×D₈×C₆₇	C₂²	1	2	yes	—
39	C₂×#107×C₆₇	C₂²	1	1	yes	characteristic
40	#417×C₆₇	—	2	1	no	—
41	#405×C₆₇	C₂²	1	1	yes	characteristic
42	C₂×#11761628	—	2	1	no	—
43	#14524065	—	2	2	no	—
44	#14524065	C₂×C₄	1	4	yes	complemented
45	C₂×Dic₂₆₈	C₂³	1	1	yes	characteristic
46	C₂×#11761617	—	2	1	no	—
47	C₂×D₅₃₆	C₂³	1	1	yes	characteristic
48	C₄×Dic₁₃₄	—	2	2	no	—
49	C₄×D₂₆₈	—	2	2	no	—
50	(C₂²⋊D₆₇)⋊C₄	—	4	2	no	—
51	#14524001	—	4	1	no	—
52	C₂×C₄⋊Dic₆₇	—	2	1	no	—
53	C₄⋊C₄×D₆₇	—	4	1	no	—
54	#14523989	C₂×C₄	1	4	yes	complemented
55	#14523987	C₂×C₄	1	4	yes	complemented
56	#14523986	C₂×C₄	1	4	yes	complemented
57	#14523984	C₂×C₄	1	4	yes	complemented
58	#14523983	—	2	2	no	—
59	C₂×C₆₇⋊C₁₆	C₂×C₄	1	4	yes	complemented
60	C₂×C₆₇⋊C₁₆	C₂³	1	2	yes	—
61	C₂×C₆₇⋊C₁₆	C₂³	1	1	yes	characteristic
62	C₂×C₆₇⋊C₁₆	C₂³	1	1	yes	characteristic
63	#14523977	—	2	1	no	—
64	#14523977	C₂³	1	2	yes	—
65	#14523968	—	2	2	no	—
66	#14523965	—	2	2	no	—
67	C₂×#41×C₆₇	—	2	1	no	—
68	#135×C₆₇	—	2	2	no	—
69	#135×C₆₇	C₂×C₄	1	4	yes	complemented
70	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
71	C₂×SD₁₆×C₆₇	—	2	1	no	—
72	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
73	C₂×M₁₆×C₆₇	D₄	1	1	yes	characteristic
74	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
75	C₄×Q₈×C₆₇	—	2	2	no	—
76	C₄×D₄×C₆₇	—	2	2	no	—
77	C₄×D₄×C₆₇	—	4	2	no	—
78	#117×C₆₇	—	4	1	no	—
79	#117×C₆₇	D₄	1	1	yes	characteristic
80	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
81	C₂×C₄⋊C₄×C₆₇	—	4	1	no	—
82	#107×C₆₇	—	2	1	no	—
83	#107×C₆₇	C₂³	1	2	yes	—
84	#103×C₆₇	—	2	2	no	—
85	#102×C₆₇	—	2	2	no	—
86	#97×C₆₇	D₄	1	2	yes	—
87	C₄×C₈×C₆₇	C₂³	1	2	yes	—
88	#11761628	—	2	4	no	—
89	#11761628	—	4	2	no	—
90	C₂×Dic₁₃₄	—	2	1	no	—
91	C₂×D₂₆₈	—	2	1	no	—
92	C₂×C₂²⋊D₆₇	—	4	1	no	—
93	C₂²×Dic₆₇	—	4	1	no	—
94	C₂×C₄×D₆₇	—	4	1	no	—
95	C₂×C₄×D₆₇	—	4	2	no	—
96	Dic₂₆₈	—	2	1	no	—
97	Dic₂₆₈	C₂²×C₄	1	2	yes	—
98	#11761617	—	2	4	no	—
99	D₅₃₆	—	2	1	no	—
100	D₅₃₆	C₂²×C₄	1	2	yes	—
101	C₄⋊Dic₆₇	—	2	2	no	—
102	C₄⋊Dic₆₇	—	4	1	no	—
103	Dic₆₇⋊C₄	—	4	2	no	—
104	(C₂×D₆₇)⋊C₄	—	4	2	no	—
105	C₄×Dic₆₇	—	4	2	no	—
106	C₆₇⋊C₁₆	—	2	2	no	—
107	C₆₇⋊C₁₆	C₂²×C₄	1	2	yes	—
108	C₆₇⋊C₁₆	C₂²×C₄	1	2	yes	—
109	#41×C₆₇	—	2	4	no	—
110	#41×C₆₇	—	4	2	no	—
111	C₂×Q₈×C₆₇	—	2	1	no	—
112	C₂×D₄×C₆₇	—	2	1	no	—
113	C₂×D₄×C₆₇	—	4	1	no	—
114	C₂²×C₄×C₆₇	—	4	1	no	—
115	C₂²×C₄×C₆₇	—	4	1	no	—
116	C₂²×C₄×C₆₇	—	4	2	no	—
117	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
118	Q₁₆×C₆₇	—	2	1	no	—
119	Q₁₆×C₆₇	C₂²×C₄	1	2	yes	—
120	SD₁₆×C₆₇	—	2	4	no	—
121	D₈×C₆₇	—	2	1	no	—
122	D₈×C₆₇	C₂²×C₄	1	2	yes	—
123	M₁₆×C₆₇	—	2	2	no	—
124	C₂×C₈×C₆₇	C₂²×C₄	1	2	yes	—
125	C₂×C₈×C₆₇	C₂×D₄	1	2	yes	—
126	C₂×C₈×C₆₇	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₆₇	#41	1	2	yes	—
128	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
129	C₄⋊C₄×C₆₇	—	2	2	no	—
130	C₄⋊C₄×C₆₇	—	4	1	no	—
131	C₄⋊C₄×C₆₇	—	4	2	no	—
132	C₄⋊C₄×C₆₇	D₈	1	1	yes	characteristic
133	C₄⋊C₄×C₆₇	D₈	1	1	yes	characteristic
134	C₂²⋊C₄×C₆₇	—	4	2	no	—
135	C₂²⋊C₄×C₆₇	D₈	1	2	yes	—
136	C₄²×C₆₇	—	4	2	no	—
137	C₄²×C₆₇	C₂×D₄	1	2	yes	—
138	C₂³×C₆₇	—	4	1	no	—
139	C₂³×C₆₇	C₂×D₈	1	1	yes	characteristic
140	C₂²×D₆₇	—	4	1	no	—
141	Q₈×C₆₇	—	2	2	no	—
142	Q₈×C₆₇	—	4	1	no	—
143	D₄×C₆₇	—	2	2	no	—
144	D₄×C₆₇	—	4	4	no	—
145	D₄×C₆₇	—	4	1	no	—
146	C₂×C₄×C₆₇	—	4	1	no	—
147	C₂×C₄×C₆₇	—	4	4	no	—
148	C₂×C₄×C₆₇	—	4	2	no	—
149	C₂×C₄×C₆₇	—	16	2	no	—
150	C₂×C₄×C₆₇	—	16	1	no	—
151	C₂×C₄×C₆₇	C₄×D₄	1	2	yes	—
152	C₂×C₄×C₆₇	C₂×D₈	1	2	yes	—
153	C₂×C₄×C₆₇	C₂×D₈	1	2	yes	—
154	C₂×C₄×C₆₇	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₆₇	#135	1	2	yes	—
156	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
157	C₂²⋊D₆₇	—	4	4	no	—
158	C₂×Dic₆₇	—	4	1	no	—
159	C₂×Dic₆₇	—	4	2	no	—
160	C₂×Dic₆₇	—	16	1	no	—
161	D₂₆₈	—	2	2	no	—
162	D₂₆₈	—	4	1	no	—
163	C₄×D₆₇	—	4	4	no	—
164	C₄×D₆₇	—	16	2	no	—
165	Dic₁₃₄	—	2	2	no	—
166	Dic₁₃₄	—	4	1	no	—
167	C₈×C₆₇	—	2	2	no	—
168	C₈×C₆₇	C₄×D₄	1	2	yes	—
169	C₈×C₆₇	C₂³×C₄	1	1	yes	characteristic
170	C₈×C₆₇	C₂×#41	1	1	yes	characteristic
171	C₂²×C₆₇	—	2	1	no	—
172	C₂²×C₆₇	—	2	1	no	—
173	C₂²×C₆₇	—	4	2	no	—
174	C₂²×C₆₇	—	8	1	no	—
175	C₂²×C₆₇	—	8	1	no	—
176	C₂²×C₆₇	C₄×D₈	1	2	yes	—
177	C₂²×C₆₇	C₂²×D₈	1	1	yes	characteristic
178	C₂×D₆₇	—	4	2	no	—
179	C₂×D₆₇	—	8	1	no	—
180	C₂×D₆₇	—	8	1	no	—
181	C₄×C₆₇	—	2	2	no	—
182	C₄×C₆₇	—	2	2	no	—
183	C₄×C₆₇	—	4	2	no	—
184	C₄×C₆₇	—	8	2	no	—
185	C₄×C₆₇	C₄×D₈	1	2	yes	—
186	C₄×C₆₇	C₂×C₄×D₄	1	1	yes	characteristic
187	C₄×C₆₇	C₂×#135	1	1	yes	characteristic
188	Dic₆₇	—	4	2	no	—
189	Dic₆₇	—	8	2	no	—
190	#33460	—	67	1	no	maximal, Sylow
191	C₂×C₆₇	—	2	2	no	—
192	C₂×C₆₇	—	8	2	no	—
193	C₂×C₆₇	C₂×C₄×D₈	1	1	yes	characteristic
194	C₂×C₆₇	#3416	1	1	yes	characteristic
195	C₂×C₆₇	#3416	1	1	yes	characteristic
196	D₆₇	—	8	2	no	—
197	C₂×#508	—	67	1	no	—
198	#2951	—	67	1	no	—
199	#2951	D₆₇	1	1	yes	characteristic, complemented
200	#2177	—	67	2	no	—
201	#2176	—	67	2	no	—
202	C₄×SD₃₂	—	67	2	no	—
203	C₄×SD₃₂	—	67	2	no	—
204	C₂×#367	—	67	1	no	—
205	#2139	—	67	1	no	—
206	#2139	—	67	1	no	—
207	#2108	—	67	1	no	—
208	C₆₇	#33460	1	1	yes	characteristic, complemented, Sylow
209	C₂×#135	—	67	1	no	—
210	C₂×#135	C₂×D₆₇	1	1	yes	characteristic
211	#520	—	2	1	no	—
212	#520	—	134	1	no	—
213	#508	—	67	8	no	—
214	C₂×Q₃₂	—	67	1	no	—
215	C₂×SD₃₂	—	67	1	no	—
216	C₂×SD₃₂	—	67	1	no	—
217	C₂×D₁₆	—	67	1	no	—
218	C₂×M₃₂	—	67	1	no	—
219	C₂²×C₁₆	—	67	1	no	—
220	#440	—	2	2	no	—
221	#440	—	134	2	no	—
222	C₄×Q₁₆	—	67	2	no	—
223	C₄×Q₁₆	C₂×D₆₇	1	2	yes	—
224	C₄×D₈	—	67	2	no	—
225	C₄×D₈	C₂×D₆₇	1	2	yes	—
226	C₂×#107	—	67	1	no	—
227	C₂×#107	C₂×D₆₇	1	1	yes	characteristic
228	#417	—	2	1	no	—
229	#417	—	134	1	no	—
230	#405	C₂×D₆₇	1	1	yes	characteristic
231	#367	—	67	2	no	—
232	#367	—	67	2	no	—
233	#358	—	67	2	no	—
234	#358	—	67	2	no	—
235	#357	—	67	2	no	—
236	#357	—	67	2	no	—
237	#346	—	67	2	no	—
238	C₄×C₁₆	—	67	2	no	—
239	C₂×#41	—	2	1	no	—
240	C₂×#41	—	134	1	no	—
241	#135	—	2	2	no	—
242	#135	—	67	4	no	—
243	#135	—	134	2	no	—
244	#135	C₄×D₆₇	1	4	yes	complemented
245	C₂×Q₁₆	—	67	1	no	—
246	C₂×Q₁₆	C₂²×D₆₇	1	1	yes	characteristic
247	C₂×SD₁₆	—	2	1	no	—
248	C₂×SD₁₆	—	134	1	no	—
249	C₂×D₈	—	67	1	no	—
250	C₂×D₈	C₂²×D₆₇	1	1	yes	characteristic
251	C₂×M₁₆	C₂²⋊D₆₇	1	1	yes	characteristic
252	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
253	C₄×Q₈	—	2	2	no	—
254	C₄×Q₈	—	134	2	no	—
255	C₄×D₄	—	2	2	no	—
256	C₄×D₄	—	4	2	no	—
257	C₄×D₄	—	268	2	no	—
258	C₄×D₄	—	134	2	no	—
259	#117	—	4	1	no	—
260	#117	—	268	1	no	—
261	#117	C₂²⋊D₆₇	1	1	yes	characteristic
262	C₂×C₄⋊C₄	—	2	1	no	—
263	C₂×C₄⋊C₄	—	4	1	no	—
264	C₂×C₄⋊C₄	—	268	1	no	—
265	C₂×C₄⋊C₄	—	134	1	no	—
266	Q₃₂	—	67	4	no	—
267	SD₃₂	—	67	4	no	—
268	SD₃₂	—	67	4	no	—
269	D₁₆	—	67	4	no	—
270	M₃₂	—	134	2	no	—
271	C₂×C₁₆	—	67	4	no	—
272	C₂×C₁₆	—	67	1	no	—
273	C₂×C₁₆	—	67	1	no	—
274	C₂×C₁₆	—	67	2	no	—
275	#107	—	2	1	no	—
276	#107	—	67	2	no	—
277	#107	—	134	1	no	—
278	#107	C₂²×D₆₇	1	2	yes	—
279	#103	—	2	2	no	—
280	#103	—	134	2	no	—
281	#102	—	2	2	no	—
282	#102	—	134	2	no	—
283	#97	C₂²⋊D₆₇	1	2	yes	—
284	C₄×C₈	C₂²×D₆₇	1	2	yes	—
285	#41	—	2	4	no	—
286	#41	—	4	2	no	—
287	#41	—	268	2	no	—
288	#41	—	134	4	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×Q₈	—	134	1	no	—
291	C₂×D₄	—	2	1	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	268	1	no	—
294	C₂×D₄	—	134	1	no	—
295	C₂²×C₄	—	4	1	no	—
296	C₂²×C₄	—	4	1	no	—
297	C₂²×C₄	—	4	2	no	—
298	C₂²×C₄	—	268	1	no	—
299	C₂²×C₄	—	268	1	no	—
300	C₂²×C₄	—	268	2	no	—
301	C₂²×C₄	C₂×C₂²⋊D₆₇	1	1	yes	characteristic
302	Q₁₆	—	2	1	no	—
303	Q₁₆	—	67	2	no	—
304	Q₁₆	—	134	1	no	—
305	Q₁₆	C₂×C₄×D₆₇	1	2	yes	—
306	SD₁₆	—	2	4	no	—
307	SD₁₆	—	134	4	no	—
308	D₈	—	2	1	no	—
309	D₈	—	67	2	no	—
310	D₈	—	134	1	no	—
311	D₈	C₂×C₄×D₆₇	1	2	yes	—
312	M₁₆	—	2	2	no	—
313	C₂×C₈	C₂×C₄×D₆₇	1	2	yes	—
314	C₂×C₈	C₂×C₂²⋊D₆₇	1	2	yes	—
315	C₂×C₈	C₂×C₂²⋊D₆₇	1	1	yes	characteristic
316	C₂×C₈	#11761628	1	2	yes	—
317	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	4	1	no	—
320	C₄⋊C₄	—	4	2	no	—
321	C₄⋊C₄	—	268	1	no	—
322	C₄⋊C₄	—	268	2	no	—
323	C₄⋊C₄	—	134	2	no	—
324	C₄⋊C₄	#11761613	1	1	yes	characteristic
325	C₄⋊C₄	#11761613	1	1	yes	characteristic
326	C₂²⋊C₄	—	4	2	no	—
327	C₂²⋊C₄	—	268	2	no	—
328	C₂²⋊C₄	#11761613	1	2	yes	—
329	C₄²	—	4	2	no	—
330	C₄²	—	268	2	no	—
331	C₄²	C₂×C₂²⋊D₆₇	1	2	yes	—
332	C₁₆	—	67	2	no	—
333	C₁₆	—	67	2	no	—
334	C₁₆	—	134	2	no	—
335	C₂³	—	4	1	no	—
336	C₂³	—	268	1	no	—
337	C₂³	C₂×#11761613	1	1	yes	characteristic
338	Q₈	—	2	2	no	—
339	Q₈	—	4	1	no	—
340	Q₈	—	268	1	no	—
341	Q₈	—	134	2	no	—
342	D₄	—	2	2	no	—
343	D₄	—	4	4	no	—
344	D₄	—	4	1	no	—
345	D₄	—	268	4	no	—
346	D₄	—	268	1	no	—
347	D₄	—	134	2	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	4	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	268	1	no	—
352	C₂×C₄	—	268	4	no	—
353	C₂×C₄	—	268	2	no	—
354	C₂×C₄	—	16	2	no	—
355	C₂×C₄	—	16	1	no	—
356	C₂×C₄	—	1072	2	no	—
357	C₂×C₄	—	1072	1	no	—
358	C₂×C₄	C₄×C₂²⋊D₆₇	1	2	yes	—
359	C₂×C₄	C₂×#11761613	1	2	yes	—
360	C₂×C₄	C₂×#11761613	1	2	yes	—
361	C₂×C₄	C₂×#11761613	1	1	yes	characteristic
362	C₂×C₄	#14524063	1	2	yes	—
363	C₂×C₄	C₂²×C₂²⋊D₆₇	1	1	yes	characteristic
364	C₈	—	2	2	no	—
365	C₈	C₄×C₂²⋊D₆₇	1	2	yes	—
366	C₈	C₂²×C₄×D₆₇	1	1	yes	characteristic
367	C₈	C₂×#11761628	1	1	yes	characteristic
368	C₂²	—	2	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	4	2	no	—
371	C₂²	—	8	1	no	—
372	C₂²	—	8	1	no	—
373	C₂²	—	268	2	no	—
374	C₂²	—	536	1	no	—
375	C₂²	—	536	1	no	—
376	C₂²	C₄×#11761613	1	2	yes	—
377	C₂²	C₂²×#11761613	1	1	yes	characteristic
378	C₄	—	2	2	no	—
379	C₄	—	2	2	no	—
380	C₄	—	4	2	no	—
381	C₄	—	8	2	no	—
382	C₄	—	268	2	no	—
383	C₄	—	536	2	no	—
384	C₄	C₄×#11761613	1	2	yes	—
385	C₄	C₂×C₄×C₂²⋊D₆₇	1	1	yes	characteristic
386	C₄	C₂×#14524063	1	1	yes	characteristic
387	C₂	—	2	2	no	—
388	C₂	—	8	2	no	—
389	C₂	—	536	2	no	—
390	C₂	C₂×C₄×#11761613	1	1	yes	characteristic
391	C₂	#22573353	1	1	yes	characteristic
392	C₂	#22573356	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#11761613
commutator	C₈×C₆₇	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₆₇
Fitting	C₆₇×#2951	C₂
socle	C₂²×C₆₇	C₂²×D₈
prime radical	C₂×#16863826	C₂
cosocle	C₂×C₈×C₆₇	C₂⁴
hypercenter	#2951	D₆₇
hypocenter	C₆₇	#33460
LCS	G ▷ C₈×C₆₇ ▷ C₄×C₆₇ ▷ C₂×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #405 ◁ #2951

Complements

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

N	H ≅ G/N	type
2. #22569086	C₂	semidirect
3. #22562083	C₂	semidirect
4. #22562078	C₂	semidirect
5. C₄×#14523986	C₂	semidirect
6. C₄×#14523987	C₂	semidirect
7. C₂×#16863223	C₂	semidirect
8. #22561921	C₂	semidirect
9. #22561919	C₂	semidirect
10. #22561806	C₂	semidirect
11. C₆₇×#2951	C₂	semidirect
14. #16863826	C₄	semidirect
44. #14524065	C₂×C₄	semidirect
54. #14523989	C₂×C₄	semidirect
55. #14523987	C₂×C₄	semidirect
56. #14523986	C₂×C₄	semidirect
57. #14523984	C₂×C₄	semidirect
59. C₂×C₆₇⋊C₁₆	C₂×C₄	semidirect
69. #135×C₆₇	C₂×C₄	semidirect
199. #2951	D₆₇	semidirect
208. C₆₇	#33460	semidirect
244. #135	C₄×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#16863826	2
#22569086	2
#22562083	2
#22562078	2
C₄×#14523986	2
C₄×#14523987	2
C₂×#16863223	2
#22561921	2
#22561919	2
#22561806	2
C₆₇×#2951	2
#33460	67