Subgroups — #26220679

Order 12032.

722 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#13094044	C₂	1	1	yes	maximal, characteristic
2	#20252037	C₂	1	1	yes	maximal, characteristic, complemented
3	#20244275	C₂	1	2	yes	maximal
4	#20244133	C₂	1	2	yes	maximal, complemented
5	#20244102	C₂	1	2	yes	maximal, complemented
6	#20244098	C₂	1	2	yes	maximal, complemented
7	C₄×#13093959	C₂	1	1	yes	maximal, characteristic, complemented
8	#20243201	C₂	1	1	yes	maximal, characteristic, complemented
9	#20243198	C₂	1	1	yes	maximal, characteristic, complemented
10	#20243076	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#2923	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094044	C₂²	1	1	yes	characteristic
13	C₄×#10625350	C₂²	1	1	yes	characteristic
14	C₄×#10625337	C₄	1	2	yes	complemented
15	C₄×#10625336	C₄	1	2	yes	complemented
16	C₄×#10625335	C₄	1	2	yes	complemented
17	C₄×#10625334	C₄	1	2	yes	complemented
18	#15689185	—	2	2	no	—
19	#15689178	—	2	2	no	—
20	C₂×#13093959	C₂²	1	2	yes	—
21	#15689159	C₂²	1	1	yes	characteristic
22	#15689149	C₂²	1	2	yes	—
23	C₂×#13093951	C₂²	1	2	yes	—
24	C₂×#13093950	C₂²	1	2	yes	—
25	#15689119	C₂²	1	1	yes	characteristic
26	#15689117	C₂²	1	1	yes	characteristic
27	#15689089	C₂²	1	2	yes	—
28	C₄×#10625329	C₂²	1	1	yes	characteristic
29	C₂×#13093934	C₂²	1	2	yes	—
30	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
31	C₂×C₈×Dic₄₇	C₂²	1	2	yes	—
32	#15688969	C₂²	1	1	yes	characteristic
33	#15688887	C₂²	1	2	yes	—
34	#15688884	C₂²	1	2	yes	—
35	#15688882	C₂²	1	2	yes	—
36	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
37	C₄₇×#433	—	2	2	no	—
38	C₄₇×#432	—	2	2	no	—
39	C₄₇×#424	C₂²	1	2	yes	—
40	C₄₇×#408	C₂²	1	2	yes	—
41	C₄×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
42	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
43	C₂×#10625350	C₂³	1	1	yes	characteristic
44	#13094044	—	2	4	no	—
45	C₂×#10625337	C₂×C₄	1	1	yes	characteristic
46	C₂×#10625335	C₂×C₄	1	1	yes	characteristic
47	C₂×#10625336	C₂×C₄	1	1	yes	characteristic
48	C₂×#10625334	C₂×C₄	1	1	yes	characteristic
49	C₂×#10625329	C₂³	1	2	yes	—
50	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
51	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
52	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
53	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
54	C₄×C₂²⋊D₄₇	—	2	2	no	—
55	#13093983	C₂³	1	1	yes	characteristic
56	#13093981	—	2	1	no	—
57	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
58	C₄²×D₄₇	—	2	1	no	—
59	#13093959	—	2	4	no	—
60	#13093957	C₂×C₄	1	2	yes	—
61	#13093955	C₂×C₄	1	2	yes	—
62	Dic₄₇⋊C₈	—	2	4	no	—
63	#13093951	—	2	4	no	—
64	#13093950	—	2	4	no	—
65	#13093948	C₂×C₄	1	2	yes	—
66	#13093947	C₂×C₄	1	2	yes	—
67	#13093945	C₂×C₄	1	2	yes	—
68	#13093944	C₂×C₄	1	2	yes	—
69	(C₂×D₄₇)⋊C₈	—	2	4	no	—
70	#13093935	—	2	1	no	—
71	#13093934	—	2	4	no	—
72	C₄×C₄₇⋊C₈	—	2	1	no	—
73	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
74	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
75	C₈×Dic₄₇	—	2	4	no	—
76	C₄₇⋊#95	—	2	2	no	—
77	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
78	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
79	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
80	C₄×Q₈×C₄₇	C₂×C₄	1	2	yes	—
81	C₄×D₄×C₄₇	—	2	2	no	—
82	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
83	#117×C₄₇	—	2	1	no	—
84	#117×C₄₇	C₂³	1	1	yes	characteristic
85	C₂×C₄²×C₄₇	—	2	1	no	—
86	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
87	C₄⋊C₈×C₄₇	—	2	4	no	—
88	C₂²⋊C₈×C₄₇	—	2	4	no	—
89	#97×C₄₇	—	2	1	no	—
90	#97×C₄₇	D₄	1	2	yes	—
91	#97×C₄₇	D₄	1	2	yes	—
92	C₄×C₈×C₄₇	—	2	1	no	—
93	#41×C₄₇	—	2	2	no	—
94	#41×C₄₇	—	2	2	no	—
95	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
96	C₂×D₄×C₄₇	—	2	1	no	—
97	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₇	—	2	1	no	—
99	C₂²×C₄×C₄₇	—	2	2	no	—
100	C₂²×C₄×C₄₇	#41	1	2	yes	—
101	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
102	C₂×C₂²⋊D₄₇	—	2	1	no	—
103	C₂²×Dic₄₇	—	2	2	no	—
104	#10625350	—	2	2	no	—
105	#10625350	—	2	2	no	—
106	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₄×D₄₇	—	2	1	no	—
108	C₂×C₄×D₄₇	—	2	2	no	—
109	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
110	M₁₆×C₄₇	—	2	2	no	—
111	M₁₆×C₄₇	—	2	2	no	—
112	C₂×C₈×C₄₇	—	2	2	no	—
113	C₂×C₈×C₄₇	—	2	2	no	—
114	C₂×C₈×C₄₇	—	2	2	no	—
115	C₂×C₈×C₄₇	C₂×D₄	1	4	yes	—
116	C₄⋊C₄×C₄₇	—	2	2	no	—
117	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
118	C₂²⋊C₄×C₄₇	—	2	1	no	—
119	C₂²⋊C₄×C₄₇	—	2	2	no	—
120	C₄²×C₄₇	—	2	2	no	—
121	C₄²×C₄₇	—	2	1	no	—
122	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
123	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₂²⋊Dic₄₇	—	2	1	no	—
126	#10625337	—	2	2	no	—
127	#10625336	—	2	2	no	—
128	#10625335	—	2	2	no	—
129	#10625334	—	2	2	no	—
130	(C₂×D₄₇)⋊C₄	—	2	2	no	—
131	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
132	Dic₄₇⋊C₄	—	2	2	no	—
133	C₄×Dic₄₇	—	2	2	no	—
134	C₄×Dic₄₇	—	2	1	no	—
135	C₄×Dic₄₇	—	2	2	no	—
136	C₄×Dic₄₇	#41	1	4	yes	—
137	#10625329	—	2	2	no	—
138	#10625329	—	2	2	no	—
139	C₂×C₄₇⋊C₈	—	2	2	no	—
140	C₂×C₄₇⋊C₈	—	2	2	no	—
141	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
142	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
143	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
144	C₂×C₄₇⋊C₈	#41	1	4	yes	—
145	C₂³×C₄₇	—	2	1	no	—
146	C₂³×C₄₇	C₂×#41	1	1	yes	characteristic
147	C₂²×D₄₇	—	2	1	no	—
148	Q₈×C₄₇	—	2	1	no	—
149	Q₈×C₄₇	—	2	1	no	—
150	D₄×C₄₇	—	2	1	no	—
151	D₄×C₄₇	—	2	1	no	—
152	D₄×C₄₇	—	4	2	no	—
153	C₂×C₄×C₄₇	—	2	2	no	—
154	C₂×C₄×C₄₇	—	2	1	no	—
155	C₂×C₄×C₄₇	—	4	2	no	—
156	C₂×C₄×C₄₇	—	4	2	no	—
157	C₂×C₄×C₄₇	—	8	2	no	—
158	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
159	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
160	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
163	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
164	C₂²⋊D₄₇	—	4	2	no	—
165	C₂×Dic₄₇	—	2	1	no	—
166	C₂×Dic₄₇	—	2	2	no	—
167	C₂×Dic₄₇	—	2	4	no	—
168	C₂×Dic₄₇	—	4	4	no	—
169	D₁₈₈	—	2	1	no	—
170	D₁₈₈	—	2	1	no	—
171	C₄×D₄₇	—	4	2	no	—
172	C₄×D₄₇	—	8	2	no	—
173	Dic₉₄	—	2	1	no	—
174	Dic₉₄	—	2	1	no	—
175	C₈×C₄₇	—	2	4	no	—
176	C₈×C₄₇	—	4	2	no	—
177	C₄₇⋊C₈	—	2	2	no	—
178	C₄₇⋊C₈	—	4	2	no	—
179	C₄₇⋊C₈	#117	1	2	yes	—
180	C₄₇⋊C₈	#117	1	2	yes	—
181	#21294	—	47	1	no	maximal, Sylow
182	C₂²×C₄₇	—	2	2	no	—
183	C₂²×C₄₇	—	4	2	no	—
184	C₂²×C₄₇	—	4	1	no	—
185	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
186	C₂²×C₄₇	#529	1	2	yes	—
187	C₂×D₄₇	—	4	2	no	—
188	C₂×D₄₇	—	4	1	no	—
189	C₄×C₄₇	—	2	2	no	—
190	C₄×C₄₇	—	2	2	no	—
191	C₄×C₄₇	—	4	2	no	—
192	C₄×C₄₇	—	4	1	no	—
193	C₄×C₄₇	C₂×#117	1	1	yes	characteristic
194	C₄×C₄₇	C₄×#41	1	1	yes	characteristic
195	C₄×C₄₇	#532	1	2	yes	—
196	Dic₄₇	—	4	4	no	—
197	Dic₄₇	—	4	2	no	—
198	Dic₄₇	—	4	1	no	—
199	C₄×#135	—	47	1	no	—
200	#2923	—	47	1	no	—
201	#2923	D₄₇	1	1	yes	characteristic, complemented
202	#1974	—	47	2	no	—
203	#1945	—	47	2	no	—
204	#1938	—	47	2	no	—
205	#1938	—	47	2	no	—
206	C₄×#108	—	47	1	no	—
207	#1759	—	47	1	no	—
208	#1759	—	47	1	no	—
209	#1726	—	47	1	no	—
210	C₂×C₄₇	—	2	2	no	—
211	C₂×C₄₇	—	8	1	no	—
212	C₂×C₄₇	#2293	1	1	yes	characteristic
213	C₂×C₄₇	#2957	1	2	yes	—
214	D₄₇	—	8	1	no	—
215	C₂×#135	—	47	1	no	—
216	C₄×#41	—	47	1	no	—
217	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
218	C₄×Q₁₆	—	47	2	no	—
219	C₄×SD₁₆	—	47	2	no	—
220	C₄×SD₁₆	—	47	2	no	—
221	C₄×D₈	—	47	2	no	—
222	#433	—	2	2	no	—
223	#433	—	94	2	no	—
224	#432	—	2	2	no	—
225	#432	—	94	2	no	—
226	C₂×#108	—	47	2	no	—
227	#427	—	47	1	no	—
228	#424	—	47	2	no	—
229	#424	C₂×D₄₇	1	2	yes	—
230	C₂×#104	—	47	2	no	—
231	C₂×#104	—	47	2	no	—
232	#416	—	47	1	no	—
233	#416	—	47	1	no	—
234	#408	—	47	2	no	—
235	#408	C₂×D₄₇	1	2	yes	—
236	C₄×M₁₆	—	47	1	no	—
237	C₄×M₁₆	C₂×D₄₇	1	1	yes	characteristic
238	C₂×#97	—	47	2	no	—
239	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
240	C₂×C₄×C₈	—	47	1	no	—
241	C₂×C₄×C₈	—	47	2	no	—
242	#376	—	47	1	no	—
243	#341	—	47	2	no	—
244	#339	—	47	2	no	—
245	#339	—	47	2	no	—
246	C₄₇	#21294	1	1	yes	characteristic, complemented, Sylow
247	C₂×#41	—	47	1	no	—
248	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
249	#135	—	94	4	no	—
250	C₂×Q₁₆	—	47	1	no	—
251	C₂×SD₁₆	—	47	1	no	—
252	C₂×SD₁₆	—	47	1	no	—
253	C₂×D₈	—	47	1	no	—
254	C₂×M₁₆	—	47	2	no	—
255	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
256	C₂²×C₈	—	47	1	no	—
257	C₂²×C₈	—	47	1	no	—
258	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
259	C₄×Q₈	—	47	2	no	—
260	C₄×Q₈	C₄×D₄₇	1	2	yes	—
261	C₄×D₄	—	2	2	no	—
262	C₄×D₄	—	47	2	no	—
263	C₄×D₄	—	94	2	no	—
264	C₄×D₄	C₄×D₄₇	1	2	yes	—
265	#117	—	2	1	no	—
266	#117	—	47	1	no	—
267	#117	—	94	1	no	—
268	#117	C₂²×D₄₇	1	1	yes	characteristic
269	C₂×C₄²	—	2	1	no	—
270	C₂×C₄²	—	47	2	no	—
271	C₂×C₄²	—	94	1	no	—
272	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
273	#108	—	94	4	no	—
274	#107	—	47	2	no	—
275	#106	—	47	2	no	—
276	C₄⋊C₈	—	2	4	no	—
277	C₄⋊C₈	—	94	4	no	—
278	#104	—	94	4	no	—
279	#104	—	94	4	no	—
280	#103	—	47	2	no	—
281	#103	—	47	2	no	—
282	#102	—	47	2	no	—
283	#102	—	47	2	no	—
284	C₂²⋊C₈	—	2	4	no	—
285	C₂²⋊C₈	—	94	4	no	—
286	#97	—	2	1	no	—
287	#97	—	94	4	no	—
288	#97	—	94	1	no	—
289	#97	C₂²⋊D₄₇	1	2	yes	—
290	#97	C₂²⋊D₄₇	1	2	yes	—
291	C₄×C₈	—	2	1	no	—
292	C₄×C₈	—	47	2	no	—
293	C₄×C₈	—	47	2	no	—
294	C₄×C₈	—	94	4	no	—
295	C₄×C₈	—	94	1	no	—
296	#95	—	94	2	no	—
297	#41	—	2	2	no	—
298	#41	—	2	2	no	—
299	#41	—	94	2	no	—
300	#41	—	94	2	no	—
301	C₂×Q₈	—	47	1	no	—
302	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	47	1	no	—
305	C₂×D₄	—	94	1	no	—
306	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
307	C₂²×C₄	—	2	1	no	—
308	C₂²×C₄	—	2	2	no	—
309	C₂²×C₄	—	94	2	no	—
310	C₂²×C₄	—	94	2	no	—
311	C₂²×C₄	—	94	1	no	—
312	C₂²×C₄	#10625350	1	2	yes	—
313	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
314	Q₁₆	—	94	2	no	—
315	SD₁₆	—	94	2	no	—
316	SD₁₆	—	94	2	no	—
317	D₈	—	94	2	no	—
318	M₁₆	—	2	2	no	—
319	M₁₆	—	2	2	no	—
320	M₁₆	—	94	2	no	—
321	M₁₆	—	94	2	no	—
322	C₂×C₈	—	2	2	no	—
323	C₂×C₈	—	2	2	no	—
324	C₂×C₈	—	2	2	no	—
325	C₂×C₈	—	47	1	no	—
326	C₂×C₈	—	47	1	no	—
327	C₂×C₈	—	47	4	no	—
328	C₂×C₈	—	47	2	no	—
329	C₂×C₈	—	94	2	no	—
330	C₂×C₈	—	94	2	no	—
331	C₂×C₈	C₂×C₂²⋊D₄₇	1	4	yes	—
332	C₄⋊C₄	—	2	2	no	—
333	C₄⋊C₄	—	47	2	no	—
334	C₄⋊C₄	—	94	2	no	—
335	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
336	C₂²⋊C₄	—	2	1	no	—
337	C₂²⋊C₄	—	2	2	no	—
338	C₂²⋊C₄	—	94	1	no	—
339	C₂²⋊C₄	—	94	2	no	—
340	C₄²	—	2	2	no	—
341	C₄²	—	2	1	no	—
342	C₄²	—	47	4	no	—
343	C₄²	—	94	2	no	—
344	C₄²	—	94	1	no	—
345	C₄²	—	94	2	no	—
346	C₄²	C₂×C₄×D₄₇	1	2	yes	—
347	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
348	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
349	C₂³	—	2	1	no	—
350	C₂³	—	94	1	no	—
351	C₂³	C₂×#10625350	1	1	yes	characteristic
352	Q₈	—	2	1	no	—
353	Q₈	—	2	1	no	—
354	Q₈	—	94	1	no	—
355	Q₈	—	94	1	no	—
356	D₄	—	2	1	no	—
357	D₄	—	2	1	no	—
358	D₄	—	4	2	no	—
359	D₄	—	94	1	no	—
360	D₄	—	94	1	no	—
361	D₄	—	188	2	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	4	2	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	8	2	no	—
367	C₂×C₄	—	94	2	no	—
368	C₂×C₄	—	94	1	no	—
369	C₂×C₄	—	94	4	no	—
370	C₂×C₄	—	376	2	no	—
371	C₂×C₄	—	188	4	no	—
372	C₂×C₄	—	188	2	no	—
373	C₂×C₄	C₄×C₂²⋊D₄₇	1	2	yes	—
374	C₂×C₄	C₄×C₂²⋊D₄₇	1	2	yes	—
375	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
376	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
377	C₂×C₄	#41×D₄₇	1	2	yes	—
378	C₂×C₄	#41×D₄₇	1	2	yes	—
379	C₈	—	2	4	no	—
380	C₈	—	4	2	no	—
381	C₈	—	47	2	no	—
382	C₈	—	47	2	no	—
383	C₈	—	94	2	no	—
384	C₈	—	188	2	no	—
385	C₂²	—	2	2	no	—
386	C₂²	—	4	1	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	188	1	no	—
389	C₂²	—	188	2	no	—
390	C₂²	C₂×C₄×C₂²⋊D₄₇	1	1	yes	characteristic
391	C₂²	#15689651	1	2	yes	—
392	C₄	—	2	2	no	—
393	C₄	—	2	2	no	—
394	C₄	—	4	1	no	—
395	C₄	—	4	2	no	—
396	C₄	—	188	4	no	—
397	C₄	—	188	1	no	—
398	C₄	—	188	2	no	—
399	C₄	#117×D₄₇	1	1	yes	characteristic
400	C₄	#15689591	1	1	yes	characteristic
401	C₄	#15689669	1	2	yes	—
402	C₂	—	2	2	no	—
403	C₂	—	8	1	no	—
404	C₂	—	376	1	no	—
405	C₂	#20245847	1	1	yes	characteristic
406	C₂	#20252303	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#2923	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	C₂×#13094044	C₂²
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#2923	D₄₇
hypocenter	C₄₇	#21294
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#97 ◁ #2923

Complements

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

N	H ≅ G/N	type
2. #20252037	C₂	semidirect
4. #20244133	C₂	semidirect
5. #20244102	C₂	semidirect
6. #20244098	C₂	semidirect
7. C₄×#13093959	C₂	semidirect
8. #20243201	C₂	semidirect
9. #20243198	C₂	semidirect
10. #20243076	C₂	semidirect
11. C₄₇×#2923	C₂	semidirect
14. C₄×#10625337	C₄	semidirect
15. C₄×#10625336	C₄	semidirect
16. C₄×#10625335	C₄	semidirect
17. C₄×#10625334	C₄	semidirect
201. #2923	D₄₇	semidirect
246. C₄₇	#21294	semidirect

Maximal subgroups

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

subgroup	index
C₄×#13094044	2
#20252037	2
#20244275	2
#20244133	2
#20244102	2
#20244098	2
C₄×#13093959	2
#20243201	2
#20243198	2
#20243076	2
C₄₇×#2923	2
#21294	47