Subgroups — C₂×#22612058 #33240550

Order 18688.

658 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	C₂×#17989003	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#17988859	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#17988854	C₂	1	1	yes	maximal, characteristic
4	#22612058	C₂	1	8	yes	maximal, direct product factor
5	C₂×#17988417	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#17988403	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#17988400	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×SD₃₂×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14556622	—	2	1	no	—
10	C₂×#14556617	—	2	1	no	—
11	C₂×#14556597	C₂²	1	1	yes	characteristic
12	#17989003	—	2	2	no	—
13	#17989003	C₂²	1	4	yes	complemented
14	C₂×#14556531	C₂²	1	1	yes	characteristic
15	C₂×#14556530	—	2	1	no	—
16	C₂×C₁₆×D₇₃	—	2	1	no	—
17	#17988859	—	2	2	no	—
18	#17988859	C₂²	1	4	yes	complemented
19	#17988854	—	2	2	no	—
20	#17988854	C₂²	1	4	yes	—
21	C₂×#14556527	C₂²	1	1	yes	characteristic
22	C₂×#14556527	C₂²	1	1	yes	characteristic
23	C₂×#14556510	—	2	1	no	—
24	C₂×#14556508	—	2	1	no	—
25	#17988417	C₂²	1	4	yes	complemented
26	#17988403	C₂²	1	4	yes	complemented
27	#17988400	C₂²	1	4	yes	complemented
28	C₂²×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
29	C₂²×D₈×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×SD₃₂×C₇₃	—	2	1	no	—
31	C₂×SD₃₂×C₇₃	—	2	1	no	—
32	C₂×SD₃₂×C₇₃	—	2	2	no	—
33	C₂×SD₃₂×C₇₃	C₂²	1	4	yes	complemented
34	C₂²×C₁₆×C₇₃	C₂²	1	1	yes	characteristic
35	C₂×#11924028	D₄	1	1	yes	characteristic
36	#14556622	—	2	4	no	—
37	#14556622	—	4	2	no	—
38	#14556617	—	2	4	no	—
39	#14556617	—	4	2	no	—
40	C₂×#11924018	—	4	1	no	—
41	C₂×#11924016	—	4	1	no	—
42	C₂×#11924015	—	4	1	no	—
43	C₂×#11924013	—	4	1	no	—
44	#14556597	—	2	1	no	—
45	#14556597	—	2	1	no	—
46	#14556597	D₄	1	2	yes	—
47	#14556597	C₂³	1	2	yes	—
48	C₂×#11924012	—	2	1	no	—
49	C₂×#11924012	—	2	1	no	—
50	C₂×#11924012	D₄	1	1	yes	characteristic
51	C₂×#11924011	—	2	1	no	—
52	C₂×C₈×D₇₃	—	2	1	no	—
53	#14556531	—	2	1	no	—
54	#14556531	C₂³	1	2	yes	—
55	#14556530	—	2	4	no	—
56	C₂×#11924003	—	2	1	no	—
57	C₁₆×D₇₃	—	2	4	no	—
58	#14556527	—	2	1	no	—
59	#14556527	—	2	1	no	—
60	#14556527	C₂³	1	2	yes	—
61	#14556527	C₂³	1	2	yes	—
62	#14556510	—	2	4	no	—
63	#14556508	—	2	4	no	—
64	C₂²×Q₈×C₇₃	—	2	1	no	—
65	C₂²×D₄×C₇₃	—	2	1	no	—
66	C₂×Q₁₆×C₇₃	—	2	1	no	—
67	C₂×Q₁₆×C₇₃	—	2	1	no	—
68	C₂×Q₁₆×C₇₃	—	2	1	no	—
69	C₂×Q₁₆×C₇₃	—	2	1	no	—
70	C₂×Q₁₆×C₇₃	—	2	1	no	—
71	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
72	C₂×D₈×C₇₃	—	2	1	no	—
73	C₂×D₈×C₇₃	—	2	1	no	—
74	C₂×D₈×C₇₃	—	2	1	no	—
75	C₂×D₈×C₇₃	—	2	1	no	—
76	C₂×D₈×C₇₃	—	2	1	no	—
77	C₂×D₈×C₇₃	C₂³	1	2	yes	—
78	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
79	SD₃₂×C₇₃	—	2	4	no	—
80	SD₃₂×C₇₃	—	2	4	no	—
81	C₂×C₁₆×C₇₃	D₄	1	1	yes	characteristic
82	C₂×C₁₆×C₇₃	D₄	1	1	yes	characteristic
83	C₂×C₁₆×C₇₃	D₄	1	2	yes	—
84	C₂×C₁₆×C₇₃	C₂³	1	2	yes	—
85	#11924028	—	2	1	no	—
86	#11924028	—	2	1	no	—
87	#11924028	D₈	1	2	yes	—
88	#11924028	C₂×D₄	1	2	yes	—
89	C₂×Dic₁₄₆	D₈	1	1	yes	characteristic
90	C₂×D₂₉₂	D₈	1	1	yes	characteristic
91	C₂×C₂²⋊D₇₃	—	2	1	no	—
92	C₂×C₄×D₇₃	—	2	1	no	—
93	#11924018	—	4	4	no	—
94	#11924016	—	4	4	no	—
95	#11924015	—	4	4	no	—
96	#11924013	—	4	4	no	—
97	#11924012	—	2	1	no	—
98	#11924012	—	2	2	no	—
99	#11924012	—	2	2	no	—
100	#11924012	—	4	1	no	—
101	#11924012	—	4	1	no	—
102	#11924012	C₂×D₄	1	2	yes	—
103	#11924011	—	2	2	no	—
104	#11924011	—	2	2	no	—
105	C₂×#10596831	—	2	1	no	—
106	C₂×#10596831	—	4	1	no	—
107	C₂×#10596831	—	4	1	no	—
108	C₈×D₇₃	—	2	2	no	—
109	C₈×D₇₃	—	2	2	no	—
110	#11924003	—	2	2	no	—
111	C₂⁴×C₇₃	—	4	1	no	—
112	C₂×Q₈×C₇₃	—	2	2	no	—
113	C₂×Q₈×C₇₃	—	4	1	no	—
114	C₂×Q₈×C₇₃	—	4	1	no	—
115	C₂×Q₈×C₇₃	—	4	1	no	—
116	C₂×Q₈×C₇₃	—	4	1	no	—
117	C₂×Q₈×C₇₃	—	4	1	no	—
118	C₂×D₄×C₇₃	—	2	2	no	—
119	C₂×D₄×C₇₃	—	4	1	no	—
120	C₂×D₄×C₇₃	—	4	1	no	—
121	C₂×D₄×C₇₃	—	4	1	no	—
122	C₂×D₄×C₇₃	—	4	1	no	—
123	C₂×D₄×C₇₃	—	4	1	no	—
124	C₂²×C₄×C₇₃	—	4	1	no	—
125	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
126	Q₁₆×C₇₃	—	2	2	no	—
127	Q₁₆×C₇₃	—	2	2	no	—
128	Q₁₆×C₇₃	—	4	1	no	—
129	Q₁₆×C₇₃	—	4	1	no	—
130	D₈×C₇₃	—	2	2	no	—
131	D₈×C₇₃	—	2	2	no	—
132	D₈×C₇₃	—	4	1	no	—
133	D₈×C₇₃	—	4	1	no	—
134	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
135	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
136	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
137	C₂×C₈×C₇₃	#41	1	1	yes	characteristic
138	C₂×C₈×C₇₃	#41	1	1	yes	characteristic
139	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
140	C₁₆×C₇₃	C₂×D₄	1	2	yes	—
141	C₁₆×C₇₃	C₂×D₄	1	2	yes	—
142	C₂³×C₇₃	—	4	2	no	—
143	C₂³×C₇₃	—	8	1	no	—
144	C₂³×C₇₃	—	8	1	no	—
145	C₂³×C₇₃	—	16	2	no	—
146	C₂³×C₇₃	#135	1	1	yes	characteristic
147	C₂²×D₇₃	—	2	1	no	—
148	Q₈×C₇₃	—	4	2	no	—
149	Q₈×C₇₃	—	4	2	no	—
150	Q₈×C₇₃	—	8	1	no	—
151	Q₈×C₇₃	—	8	1	no	—
152	D₄×C₇₃	—	4	2	no	—
153	D₄×C₇₃	—	4	2	no	—
154	D₄×C₇₃	—	8	1	no	—
155	D₄×C₇₃	—	8	1	no	—
156	C₂×C₄×C₇₃	—	4	2	no	—
157	C₂×C₄×C₇₃	—	8	1	no	—
158	C₂×C₄×C₇₃	—	8	1	no	—
159	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
160	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
161	C₂×C₄×C₇₃	C₂×D₈	1	1	yes	characteristic
162	C₂×C₄×C₇₃	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₇₃	#135	1	1	yes	characteristic
164	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
165	C₂²⋊D₇₃	—	2	2	no	—
166	C₂²⋊D₇₃	—	2	2	no	—
167	C₂×Dic₇₃	—	2	1	no	—
168	D₂₉₂	—	2	1	no	—
169	D₂₉₂	C₂×D₈	1	2	yes	—
170	C₄×D₇₃	—	2	2	no	—
171	C₄×D₇₃	—	2	2	no	—
172	Dic₁₄₆	—	2	1	no	—
173	Dic₁₄₆	C₂×D₈	1	2	yes	—
174	C₈×C₇₃	#121	1	1	yes	characteristic
175	C₈×C₇₃	#121	1	1	yes	characteristic
176	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
177	C₈×C₇₃	C₂×#41	1	1	yes	characteristic
178	#10596831	—	2	2	no	—
179	#10596831	—	4	2	no	—
180	#10596831	—	4	2	no	—
181	C₂²×C₇₃	—	2	2	no	—
182	C₂²×C₇₃	—	8	2	no	—
183	C₂²×C₇₃	—	16	2	no	—
184	C₂²×C₇₃	—	16	2	no	—
185	C₂²×C₇₃	—	16	2	no	—
186	C₂²×C₇₃	#466	1	1	yes	characteristic
187	C₂²×C₇₃	#466	1	1	yes	characteristic
188	C₂²×C₇₃	C₂×#135	1	1	yes	characteristic
189	C₂×D₇₃	—	2	2	no	—
190	C₂×D₇₃	—	4	2	no	—
191	C₄×C₇₃	—	8	2	no	—
192	C₄×C₇₃	#466	1	1	yes	characteristic
193	C₄×C₇₃	#466	1	1	yes	characteristic
194	C₄×C₇₃	C₂×#121	1	1	yes	characteristic
195	C₄×C₇₃	C₂²×D₈	1	1	yes	characteristic
196	Dic₇₃	—	2	2	no	—
197	C₂×#2223	—	73	1	no	maximal, Sylow
198	C₂×C₇₃	—	2	1	no	—
199	C₂×C₇₃	—	2	1	no	—
200	C₂×C₇₃	—	16	2	no	—
201	C₂×C₇₃	#2223	1	2	yes	complemented
202	C₂×C₇₃	C₂×#466	1	1	yes	characteristic
203	D₇₃	—	4	2	no	—
204	C₂²×SD₃₂	D₇₃	1	1	yes	characteristic, complemented
205	C₂×#504	—	73	1	no	—
206	C₂×#473	—	73	1	no	—
207	C₂×#472	—	73	1	no	—
208	#2223	—	73	8	no	—
209	C₂×#368	—	73	1	no	—
210	C₂×#362	—	73	1	no	—
211	C₂×#361	—	73	1	no	—
212	C₇₃	C₂×#2223	1	1	yes	characteristic, complemented, Sylow
213	C₂×#137	—	146	1	no	—
214	C₂×AGL(1,ℤ/8)	—	146	1	no	—
215	C₂²×Q₁₆	C₂×D₇₃	1	1	yes	characteristic
216	C₂²×D₈	C₂×D₇₃	1	1	yes	characteristic
217	C₂×#131	—	73	1	no	—
218	C₂×SD₃₂	—	2	1	no	—
219	C₂×SD₃₂	—	2	1	no	—
220	C₂×SD₃₂	—	2	2	no	—
221	C₂×SD₃₂	C₂×D₇₃	1	4	yes	complemented
222	#504	—	73	4	no	—
223	#504	—	146	2	no	—
224	C₂×M₃₂	—	73	1	no	—
225	C₂×M₃₂	—	146	1	no	—
226	C₂²×C₁₆	—	146	1	no	—
227	C₂²×C₁₆	C₂×D₇₃	1	1	yes	characteristic
228	#473	—	73	4	no	—
229	#473	—	146	2	no	—
230	#472	—	73	4	no	—
231	#472	—	146	2	no	—
232	C₂×#108	—	73	1	no	—
233	C₂×#108	—	73	1	no	—
234	C₂×#101	—	146	1	no	—
235	C₂×#100	—	146	1	no	—
236	#368	—	73	4	no	—
237	#362	—	73	4	no	—
238	#361	—	73	4	no	—
239	C₂×#41	—	73	1	no	—
240	C₂²×Q₈	—	2	1	no	—
241	C₂²×D₄	—	2	1	no	—
242	#137	—	292	2	no	—
243	#137	—	146	4	no	—
244	AGL(1,ℤ/8)	—	292	2	no	—
245	AGL(1,ℤ/8)	—	146	4	no	—
246	C₂×Q₁₆	—	2	1	no	—
247	C₂×Q₁₆	—	2	1	no	—
248	C₂×Q₁₆	—	2	1	no	—
249	C₂×Q₁₆	—	2	1	no	—
250	C₂×Q₁₆	—	2	1	no	—
251	C₂×Q₁₆	—	292	1	no	—
252	C₂×Q₁₆	C₂²×D₇₃	1	2	yes	—
253	C₂×SD₁₆	—	292	1	no	—
254	C₂×SD₁₆	—	292	1	no	—
255	C₂×D₈	—	2	1	no	—
256	C₂×D₈	—	2	1	no	—
257	C₂×D₈	—	2	1	no	—
258	C₂×D₈	—	2	1	no	—
259	C₂×D₈	—	2	1	no	—
260	C₂×D₈	—	292	1	no	—
261	C₂×D₈	C₂²×D₇₃	1	2	yes	—
262	#131	—	73	2	no	—
263	#131	—	73	2	no	—
264	#131	—	146	1	no	—
265	#131	—	146	1	no	—
266	C₂×M₁₆	—	73	1	no	—
267	C₂×M₁₆	—	146	1	no	—
268	C₂×M₁₆	—	146	1	no	—
269	C₂×M₁₆	—	146	1	no	—
270	C₂²×C₈	—	146	1	no	—
271	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
272	SD₃₂	—	2	4	no	—
273	SD₃₂	—	2	4	no	—
274	M₃₂	—	73	2	no	—
275	M₃₂	—	146	1	no	—
276	M₃₂	—	146	4	no	—
277	C₂×C₁₆	—	146	1	no	—
278	C₂×C₁₆	—	146	4	no	—
279	C₂×C₁₆	C₂²⋊D₇₃	1	1	yes	characteristic
280	C₂×C₁₆	C₂²⋊D₇₃	1	1	yes	characteristic
281	C₂×C₁₆	C₂²⋊D₇₃	1	2	yes	—
282	C₂×C₁₆	C₂²×D₇₃	1	2	yes	—
283	#108	—	73	2	no	—
284	#108	—	73	2	no	—
285	#108	—	146	1	no	—
286	#108	—	146	1	no	—
287	#101	—	146	4	no	—
288	#100	—	146	4	no	—
289	C₂⁴	—	4	1	no	—
290	#41	—	73	2	no	—
291	#41	—	73	2	no	—
292	#41	—	146	1	no	—
293	#41	—	146	1	no	—
294	C₂×Q₈	—	2	2	no	—
295	C₂×Q₈	—	4	1	no	—
296	C₂×Q₈	—	4	1	no	—
297	C₂×Q₈	—	4	1	no	—
298	C₂×Q₈	—	4	1	no	—
299	C₂×Q₈	—	4	1	no	—
300	C₂×Q₈	—	73	1	no	—
301	C₂×D₄	—	2	2	no	—
302	C₂×D₄	—	4	1	no	—
303	C₂×D₄	—	4	1	no	—
304	C₂×D₄	—	4	1	no	—
305	C₂×D₄	—	4	1	no	—
306	C₂×D₄	—	4	1	no	—
307	C₂×D₄	—	73	1	no	—
308	C₂×D₄	—	146	1	no	—
309	C₂²×C₄	—	4	1	no	—
310	C₂²×C₄	—	146	1	no	—
311	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
312	Q₁₆	—	2	2	no	—
313	Q₁₆	—	2	2	no	—
314	Q₁₆	—	4	1	no	—
315	Q₁₆	—	4	1	no	—
316	Q₁₆	—	292	4	no	—
317	SD₁₆	—	292	4	no	—
318	SD₁₆	—	292	4	no	—
319	D₈	—	2	2	no	—
320	D₈	—	2	2	no	—
321	D₈	—	4	1	no	—
322	D₈	—	4	1	no	—
323	D₈	—	292	4	no	—
324	M₁₆	—	292	1	no	—
325	M₁₆	—	292	1	no	—
326	M₁₆	—	73	2	no	—
327	M₁₆	—	146	2	no	—
328	M₁₆	—	146	2	no	—
329	M₁₆	—	146	1	no	—
330	M₁₆	—	146	2	no	—
331	M₁₆	—	146	2	no	—
332	C₂×C₈	—	292	1	no	—
333	C₂×C₈	—	292	1	no	—
334	C₂×C₈	—	146	1	no	—
335	C₂×C₈	—	146	2	no	—
336	C₂×C₈	—	146	2	no	—
337	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
338	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
339	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
340	C₂×C₈	#11924027	1	1	yes	characteristic
341	C₂×C₈	#11924027	1	1	yes	characteristic
342	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
343	C₁₆	—	146	2	no	—
344	C₁₆	C₂×C₂²⋊D₇₃	1	2	yes	—
345	C₁₆	C₂×C₂²⋊D₇₃	1	2	yes	—
346	C₂³	—	4	2	no	—
347	C₂³	—	8	1	no	—
348	C₂³	—	8	1	no	—
349	C₂³	—	16	2	no	—
350	C₂³	—	146	1	no	—
351	C₂³	#14556610	1	1	yes	characteristic
352	Q₈	—	4	2	no	—
353	Q₈	—	4	2	no	—
354	Q₈	—	8	1	no	—
355	Q₈	—	8	1	no	—
356	Q₈	—	73	2	no	—
357	Q₈	—	146	1	no	—
358	D₄	—	4	2	no	—
359	D₄	—	4	2	no	—
360	D₄	—	8	1	no	—
361	D₄	—	8	1	no	—
362	D₄	—	73	2	no	—
363	D₄	—	146	2	no	—
364	D₄	—	146	2	no	—
365	D₄	—	146	1	no	—
366	C₂×C₄	—	4	2	no	—
367	C₂×C₄	—	8	1	no	—
368	C₂×C₄	—	8	1	no	—
369	C₂×C₄	—	146	1	no	—
370	C₂×C₄	—	146	2	no	—
371	C₂×C₄	—	146	2	no	—
372	C₂×C₄	#14556562	1	1	yes	characteristic
373	C₂×C₄	#14556562	1	1	yes	characteristic
374	C₂×C₄	D₈×D₇₃	1	1	yes	characteristic
375	C₂×C₄	D₈×D₇₃	1	1	yes	characteristic
376	C₂×C₄	#14556610	1	1	yes	characteristic
377	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
378	C₈	—	292	2	no	—
379	C₈	—	292	2	no	—
380	C₈	—	146	2	no	—
381	C₈	#14556562	1	1	yes	characteristic
382	C₈	#14556562	1	1	yes	characteristic
383	C₈	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
384	C₈	C₂×#11924027	1	1	yes	characteristic
385	C₂²	—	2	2	no	—
386	C₂²	—	8	2	no	—
387	C₂²	—	16	2	no	—
388	C₂²	—	16	2	no	—
389	C₂²	—	16	2	no	—
390	C₂²	—	292	2	no	—
391	C₂²	—	146	2	no	—
392	C₂²	#17988820	1	1	yes	characteristic
393	C₂²	#17988820	1	1	yes	characteristic
394	C₂²	C₂×#14556610	1	1	yes	characteristic
395	C₄	—	8	2	no	—
396	C₄	—	146	2	no	—
397	C₄	#17988820	1	1	yes	characteristic
398	C₄	#17988820	1	1	yes	characteristic
399	C₄	C₂×#14556562	1	1	yes	characteristic
400	C₄	C₂×D₈×D₇₃	1	1	yes	characteristic
401	C₂	—	2	1	no	—
402	C₂	—	2	1	no	—
403	C₂	—	16	2	no	—
404	C₂	—	292	2	no	—
405	C₂	#22612058	1	2	yes	direct product factor
406	C₂	C₂×#17988820	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#17988820
commutator, cosocle	C₂×C₈×C₇₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₇₃
Fitting	C₂²×SD₃₂×C₇₃	C₂
socle	C₂²×C₇₃	#466
prime radical	C₂×#17988854	C₂
hypercenter	C₂²×SD₃₂	D₇₃
hypocenter	C₇₃	C₂×#2223
LCS	G ▷ C₂×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂²×SD₃₂

Complements

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

N	H ≅ G/N	type
1. C₂×#17989003	C₂	semidirect
2. C₂×#17988859	C₂	semidirect
4. #22612058	C₂	direct (N × H)
5. C₂×#17988417	C₂	semidirect
6. C₂×#17988403	C₂	semidirect
7. C₂×#17988400	C₂	semidirect
8. C₂²×SD₃₂×C₇₃	C₂	semidirect
13. #17989003	C₂²	semidirect
18. #17988859	C₂²	semidirect
25. #17988417	C₂²	semidirect
26. #17988403	C₂²	semidirect
27. #17988400	C₂²	semidirect
33. C₂×SD₃₂×C₇₃	C₂²	semidirect
201. C₂×C₇₃	#2223	semidirect
204. C₂²×SD₃₂	D₇₃	semidirect
212. C₇₃	C₂×#2223	semidirect
221. C₂×SD₃₂	C₂×D₇₃	semidirect
405. C₂	#22612058	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#17989003	2
C₂×#17988859	2
C₂×#17988854	2
#22612058	2
C₂×#17988417	2
C₂×#17988403	2
C₂×#17988400	2
C₂²×SD₃₂×C₇₃	2
C₂×#2223	73

Subgroups — C2×#22612058 #33240550

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22612058 #33240550