Subgroups — #33239203

Order 18688.

682 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17989005	C₂	1	1	yes	maximal, characteristic, complemented
2	#22618641	C₂	1	1	yes	maximal, characteristic
3	#22611761	C₂	1	2	yes	maximal, complemented
4	#22611756	C₂	1	2	yes	maximal, complemented
5	#22611754	C₂	1	2	yes	maximal, complemented
6	C₁₆×C₂²⋊D₇₃	C₂	1	2	yes	maximal, complemented
7	C₂×#17988405	C₂	1	1	yes	maximal, characteristic, complemented
8	#22611545	C₂	1	1	yes	maximal, characteristic, complemented
9	#22611544	C₂	1	1	yes	maximal, characteristic, complemented
10	M₃₂×Dic₇₃	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#504×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14556597	C₂²	1	1	yes	characteristic
13	#17989133	C₄	1	1	yes	characteristic
14	#17989005	—	2	4	no	—
15	C₂×#14556531	C₂²	1	1	yes	characteristic
16	C₂×#14556530	C₂²	1	2	yes	—
17	C₂²×#11924003	C₂²	1	1	yes	characteristic
18	C₂×C₁₆×D₇₃	C₂²	1	2	yes	—
19	#17988663	C₄	1	2	yes	—
20	#17988663	C₄	1	2	yes	—
21	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	—
22	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	—
23	#17988610	C₄	1	1	yes	characteristic
24	#17988555	C₄	1	1	yes	characteristic
25	#17988554	C₄	1	1	yes	characteristic
26	C₂×C₈×Dic₇₃	C₂²	1	1	yes	characteristic
27	#17988405	C₂²	1	1	yes	characteristic
28	#17988405	C₂²	1	1	yes	characteristic
29	#17988405	C₂²	1	1	yes	characteristic
30	#17988405	C₂²	1	1	yes	characteristic
31	C₂²⋊#11924003	C₂²	1	2	yes	—
32	C₂²⋊#11924003	C₂²	1	2	yes	—
33	#17988366	C₂²	1	2	yes	—
34	#17988366	C₂²	1	2	yes	—
35	#17988362	C₂²	1	2	yes	—
36	C₁₆×Dic₇₃	C₂²	1	2	yes	—
37	C₂×#131×C₇₃	C₂²	1	1	yes	characteristic
38	#504×C₇₃	—	2	4	no	—
39	C₂×M₃₂×C₇₃	C₂²	1	2	yes	—
40	C₂×M₃₂×C₇₃	C₂²	1	1	yes	characteristic
41	C₂²×C₁₆×C₇₃	C₂²	1	2	yes	—
42	C₂²×C₁₆×C₇₃	C₂²	1	1	yes	characteristic
43	C₂×#11924028	C₂×C₄	1	1	yes	characteristic
44	#14556597	—	2	2	no	—
45	#14556597	—	2	2	no	—
46	C₂×#11924012	C₂×C₄	1	1	yes	characteristic
47	C₂×#11924011	C₂×C₄	1	2	yes	—
48	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
49	C₂×C₈×D₇₃	C₂³	1	2	yes	—
50	#14556589	C₈	1	1	yes	characteristic
51	#14556587	C₈	1	1	yes	characteristic
52	#14556580	C₈	1	1	yes	characteristic
53	#14556578	C₈	1	1	yes	characteristic
54	#14556563	C₈	1	2	yes	—
55	#14556563	C₈	1	2	yes	—
56	C₄×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
57	C₄×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
58	C₂×C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
59	#14556531	—	2	2	no	—
60	#14556530	—	2	4	no	—
61	C₂×#11924003	—	2	2	no	—
62	C₂×#11924003	C₂³	1	2	yes	—
63	C₂×#11924003	C₂³	1	1	yes	characteristic
64	C₂×#11924003	C₂³	1	1	yes	characteristic
65	C₁₆×D₇₃	—	2	4	no	—
66	#14556520	C₂×C₄	1	2	yes	—
67	#14556520	C₂×C₄	1	2	yes	—
68	C₂²⋊#10596831	C₂×C₄	1	2	yes	—
69	C₂²⋊#10596831	C₂×C₄	1	2	yes	—
70	#14556503	C₂×C₄	1	2	yes	—
71	#14556503	C₂×C₄	1	2	yes	—
72	C₈×Dic₇₃	C₂×C₄	1	1	yes	characteristic
73	C₈×Dic₇₃	C₂×C₄	1	1	yes	characteristic
74	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
75	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
76	C₂×#41×C₇₃	C₂×C₄	1	1	yes	characteristic
77	#131×C₇₃	—	2	2	no	—
78	#131×C₇₃	—	2	2	no	—
79	C₂×M₁₆×C₇₃	C₂×C₄	1	1	yes	characteristic
80	C₂×M₁₆×C₇₃	C₂×C₄	1	2	yes	—
81	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
82	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
83	M₃₂×C₇₃	—	2	4	no	—
84	M₃₂×C₇₃	D₄	1	4	yes	complemented
85	C₂×C₁₆×C₇₃	—	2	2	no	—
86	C₂×C₁₆×C₇₃	—	2	4	no	—
87	C₂×C₁₆×C₇₃	C₂³	1	1	yes	characteristic
88	C₂×C₁₆×C₇₃	C₂³	1	1	yes	characteristic
89	C₂×C₁₆×C₇₃	C₂³	1	2	yes	—
90	#11924028	—	2	2	no	—
91	#11924028	—	2	2	no	—
92	C₂×Dic₁₄₆	C₂×C₈	1	1	yes	characteristic
93	C₂×D₂₉₂	C₂×C₈	1	1	yes	characteristic
94	C₂×C₂²⋊D₇₃	C₂×C₈	1	2	yes	—
95	C₂×C₂²⋊D₇₃	C₂×C₈	1	2	yes	—
96	C₂×C₂²⋊D₇₃	C₂×C₈	1	2	yes	—
97	C₂²×Dic₇₃	C₂×C₈	1	1	yes	characteristic
98	C₂²×Dic₇₃	C₂×C₈	1	1	yes	characteristic
99	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
100	#11924012	—	2	2	no	—
101	#11924011	—	2	4	no	—
102	C₂×#10596831	—	2	2	no	—
103	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
104	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
105	C₂×#10596831	C₂²×C₄	1	2	yes	—
106	C₈×D₇₃	—	2	2	no	—
107	C₈×D₇₃	—	2	2	no	—
108	#11924007	C₂×C₈	1	2	yes	—
109	#11924007	C₂×C₈	1	2	yes	—
110	C₂²⋊Dic₇₃	C₂×C₈	1	2	yes	—
111	C₂²⋊Dic₇₃	C₂×C₈	1	2	yes	—
112	#11924005	C₂×C₈	1	2	yes	—
113	#11924005	C₂×C₈	1	2	yes	—
114	C₄×Dic₇₃	C₂×C₈	1	1	yes	characteristic
115	C₄×Dic₇₃	C₂×C₈	1	1	yes	characteristic
116	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
117	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
118	#11924003	—	2	1	no	—
119	#11924003	—	2	1	no	—
120	#11924003	—	2	2	no	—
121	#41×C₇₃	—	2	2	no	—
122	#41×C₇₃	—	2	2	no	—
123	C₂×Q₈×C₇₃	C₂×C₈	1	1	yes	characteristic
124	C₂×D₄×C₇₃	C₂×C₈	1	2	yes	—
125	C₂×D₄×C₇₃	C₂×C₈	1	1	yes	characteristic
126	C₂²×C₄×C₇₃	C₂²×C₄	1	2	yes	—
127	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
128	M₁₆×C₇₃	—	2	2	no	—
129	M₁₆×C₇₃	—	2	4	no	—
130	C₂×C₈×C₇₃	—	2	2	no	—
131	C₂×C₈×C₇₃	—	2	2	no	—
132	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
133	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
134	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
135	C₂×C₈×C₇₃	#41	1	2	yes	—
136	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
137	C₁₆×C₇₃	—	2	1	no	—
138	C₁₆×C₇₃	—	2	1	no	—
139	C₁₆×C₇₃	C₂×D₄	1	4	yes	—
140	C₂³×C₇₃	C₂²×C₈	1	2	yes	—
141	C₂³×C₇₃	C₂²×C₈	1	1	yes	characteristic
142	C₂²×D₇₃	C₂²×C₈	1	2	yes	—
143	Q₈×C₇₃	—	2	2	no	—
144	D₄×C₇₃	—	2	4	no	—
145	D₄×C₇₃	—	2	2	no	—
146	C₂×C₄×C₇₃	—	2	2	no	—
147	C₂×C₄×C₇₃	—	2	2	no	—
148	C₂×C₄×C₇₃	C₄×D₄	1	2	yes	—
149	C₂×C₄×C₇₃	C₂²×C₈	1	2	yes	—
150	C₂×C₄×C₇₃	C₂²×C₈	1	1	yes	characteristic
151	C₂×C₄×C₇₃	#131	1	2	yes	—
152	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
153	C₂²⋊D₇₃	—	2	4	no	—
154	C₂²⋊D₇₃	—	2	4	no	—
155	C₂²⋊D₇₃	—	4	2	no	—
156	C₂×Dic₇₃	—	2	2	no	—
157	C₂×Dic₇₃	—	4	1	no	—
158	C₂×Dic₇₃	C₂²×C₈	1	1	yes	characteristic
159	C₂×Dic₇₃	C₂²×C₈	1	1	yes	characteristic
160	C₂×Dic₇₃	C₂²×C₈	1	1	yes	characteristic
161	C₂×Dic₇₃	C₂²×C₈	1	2	yes	—
162	C₂×Dic₇₃	C₂²×C₈	1	1	yes	characteristic
163	D₂₉₂	—	2	2	no	—
164	C₄×D₇₃	—	2	2	no	—
165	C₄×D₇₃	—	2	2	no	—
166	Dic₁₄₆	—	2	2	no	—
167	C₈×C₇₃	—	2	2	no	—
168	C₈×C₇₃	C₄×D₄	1	2	yes	—
169	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
170	C₈×C₇₃	C₂×#41	1	1	yes	characteristic
171	#10596831	—	2	2	no	—
172	#10596831	—	2	1	no	—
173	#10596831	—	2	1	no	—
174	C₂²×C₇₃	—	2	1	no	—
175	C₂²×C₇₃	—	2	1	no	—
176	C₂²×C₇₃	—	2	2	no	—
177	C₂²×C₇₃	—	2	2	no	—
178	C₂²×C₇₃	—	2	2	no	—
179	C₂²×C₇₃	C₈×D₄	1	2	yes	—
180	C₂²×C₇₃	C₂³×C₈	1	1	yes	characteristic
181	C₂×D₇₃	—	2	2	no	—
182	C₂×D₇₃	—	2	2	no	—
183	C₂×D₇₃	—	2	2	no	—
184	C₄×C₇₃	—	2	2	no	—
185	C₄×C₇₃	C₈×D₄	1	2	yes	—
186	C₄×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
187	C₄×C₇₃	C₂×#131	1	1	yes	characteristic
188	Dic₇₃	—	2	1	no	—
189	Dic₇₃	—	2	1	no	—
190	Dic₇₃	—	2	1	no	—
191	Dic₇₃	—	2	2	no	—
192	Dic₇₃	#504	1	2	yes	complemented
193	#33438	—	73	1	no	maximal, Sylow
194	C₂×C₇₃	—	2	2	no	—
195	C₂×C₇₃	—	4	2	no	—
196	C₂×C₇₃	C₂×C₈×D₄	1	1	yes	characteristic
197	C₂×C₇₃	C₂×#504	1	1	yes	characteristic
198	C₂×C₇₃	#3407	1	1	yes	characteristic
199	D₇₃	—	4	2	no	—
200	C₂×#504	—	73	1	no	—
201	C₂×#504	D₇₃	1	1	yes	characteristic, complemented
202	#2931	—	73	1	no	—
203	#2169	—	73	2	no	—
204	#2168	—	73	2	no	—
205	#2168	—	73	2	no	—
206	D₄×C₁₆	—	73	2	no	—
207	C₂×C₄⋊C₁₆	—	73	1	no	—
208	#2113	—	73	1	no	—
209	#2113	—	73	1	no	—
210	C₄×M₃₂	—	73	1	no	—
211	C₇₃	#33438	1	1	yes	characteristic, complemented, Sylow
212	C₂×#131	—	73	1	no	—
213	C₂×#131	C₂×D₇₃	1	1	yes	characteristic
214	#532	—	73	1	no	—
215	#504	—	2	4	no	—
216	#504	—	146	4	no	—
217	C₂×M₃₂	—	73	1	no	—
218	C₂×M₃₂	—	73	2	no	—
219	C₂×M₃₂	C₂×D₇₃	1	2	yes	—
220	C₂×M₃₂	C₂×D₇₃	1	1	yes	characteristic
221	C₂²×C₁₆	—	73	1	no	—
222	C₂²×C₁₆	—	73	2	no	—
223	C₂²×C₁₆	C₂×D₇₃	1	1	yes	characteristic
224	C₂²×C₁₆	C₂×D₇₃	1	2	yes	—
225	#436	—	73	2	no	—
226	#436	—	73	2	no	—
227	C₈×D₄	—	73	2	no	—
228	C₈×D₄	—	73	2	no	—
229	#423	—	73	1	no	—
230	#408	—	73	1	no	—
231	#408	—	73	1	no	—
232	C₂×C₄×C₈	—	73	1	no	—
233	C₄⋊C₁₆	—	73	1	no	—
234	C₄⋊C₁₆	—	73	1	no	—
235	C₄⋊C₁₆	—	73	1	no	—
236	C₄⋊C₁₆	—	73	1	no	—
237	C₂²⋊C₁₆	—	73	2	no	—
238	C₂²⋊C₁₆	—	73	2	no	—
239	C₂²⋊C₁₆	—	73	2	no	—
240	C₂²⋊C₁₆	—	73	2	no	—
241	#346	—	73	2	no	—
242	C₄×C₁₆	—	73	2	no	—
243	C₂×#41	—	73	1	no	—
244	C₂×#41	C₄×D₇₃	1	1	yes	characteristic
245	#131	—	2	2	no	—
246	#131	—	2	2	no	—
247	#131	—	146	2	no	—
248	#131	—	146	2	no	—
249	C₂×M₁₆	—	73	1	no	—
250	C₂×M₁₆	—	73	2	no	—
251	C₂×M₁₆	C₄×D₇₃	1	1	yes	characteristic
252	C₂×M₁₆	C₄×D₇₃	1	2	yes	—
253	C₂²×C₈	—	73	1	no	—
254	C₂²×C₈	—	73	2	no	—
255	C₂²×C₈	C₂²×D₇₃	1	2	yes	—
256	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
257	C₄⋊Q₈	—	73	1	no	—
258	#127	—	73	1	no	—
259	#124	—	73	1	no	—
260	#124	—	73	1	no	—
261	#121	—	73	2	no	—
262	#121	—	73	2	no	—
263	C₄×D₄	—	73	2	no	—
264	C₄×D₄	—	73	2	no	—
265	C₂×C₄²	—	73	1	no	—
266	M₃₂	—	2	4	no	—
267	M₃₂	—	146	2	no	—
268	M₃₂	—	146	4	no	—
269	M₃₂	C₂²⋊D₇₃	1	4	yes	complemented
270	C₂×C₁₆	—	2	2	no	—
271	C₂×C₁₆	—	2	4	no	—
272	C₂×C₁₆	—	73	2	no	—
273	C₂×C₁₆	—	73	1	no	—
274	C₂×C₁₆	—	73	1	no	—
275	C₂×C₁₆	—	146	2	no	—
276	C₂×C₁₆	—	146	4	no	—
277	C₂×C₁₆	C₂²×D₇₃	1	1	yes	characteristic
278	C₂×C₁₆	C₂²×D₇₃	1	1	yes	characteristic
279	C₂×C₁₆	C₂²×D₇₃	1	2	yes	—
280	C₄⋊C₈	—	73	2	no	—
281	C₄⋊C₈	—	73	2	no	—
282	C₂²⋊C₈	—	73	2	no	—
283	C₂²⋊C₈	—	73	2	no	—
284	C₂²⋊C₈	—	73	2	no	—
285	C₂²⋊C₈	—	73	2	no	—
286	C₄×C₈	—	73	1	no	—
287	C₄×C₈	—	73	1	no	—
288	C₄×C₈	—	73	1	no	—
289	C₄×C₈	—	73	1	no	—
290	#41	—	2	2	no	—
291	#41	—	2	2	no	—
292	#41	—	146	2	no	—
293	#41	—	146	2	no	—
294	C₂×Q₈	—	73	1	no	—
295	C₂×Q₈	C₈×D₇₃	1	1	yes	characteristic
296	C₂×D₄	—	73	2	no	—
297	C₂×D₄	—	73	2	no	—
298	C₂×D₄	—	73	2	no	—
299	C₂×D₄	—	73	1	no	—
300	C₂×D₄	C₈×D₇₃	1	2	yes	—
301	C₂×D₄	C₈×D₇₃	1	1	yes	characteristic
302	C₂²×C₄	—	73	1	no	—
303	C₂²×C₄	—	73	1	no	—
304	C₂²×C₄	—	73	2	no	—
305	C₂²×C₄	C₂×C₄×D₇₃	1	2	yes	—
306	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
307	M₁₆	—	2	2	no	—
308	M₁₆	—	2	4	no	—
309	M₁₆	—	146	2	no	—
310	M₁₆	—	146	4	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	73	1	no	—
314	C₂×C₈	—	73	1	no	—
315	C₂×C₈	—	73	2	no	—
316	C₂×C₈	—	146	2	no	—
317	C₂×C₈	—	146	2	no	—
318	C₂×C₈	—	146	2	no	—
319	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
320	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
321	C₂×C₈	C₂×C₂²⋊D₇₃	1	2	yes	—
322	C₂×C₈	#11924028	1	2	yes	—
323	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
324	C₄⋊C₄	—	73	2	no	—
325	C₄⋊C₄	—	73	2	no	—
326	C₂²⋊C₄	—	73	2	no	—
327	C₂²⋊C₄	—	73	2	no	—
328	C₂²⋊C₄	—	73	2	no	—
329	C₂²⋊C₄	—	73	2	no	—
330	C₄²	—	73	1	no	—
331	C₄²	—	73	1	no	—
332	C₄²	—	73	1	no	—
333	C₄²	—	73	1	no	—
334	C₁₆	—	2	1	no	—
335	C₁₆	—	2	1	no	—
336	C₁₆	—	146	1	no	—
337	C₁₆	—	146	1	no	—
338	C₁₆	—	146	2	no	—
339	C₁₆	C₂×C₂²⋊D₇₃	1	4	yes	—
340	C₂³	—	73	2	no	—
341	C₂³	C₂×C₈×D₇₃	1	2	yes	—
342	C₂³	C₂×C₈×D₇₃	1	1	yes	characteristic
343	Q₈	—	2	2	no	—
344	Q₈	—	146	2	no	—
345	D₄	—	2	4	no	—
346	D₄	—	2	2	no	—
347	D₄	—	292	2	no	—
348	D₄	—	146	4	no	—
349	D₄	—	146	4	no	—
350	D₄	—	146	2	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	292	1	no	—
354	C₂×C₄	—	73	1	no	—
355	C₂×C₄	—	73	1	no	—
356	C₂×C₄	—	73	1	no	—
357	C₂×C₄	—	73	1	no	—
358	C₂×C₄	—	73	2	no	—
359	C₂×C₄	—	146	2	no	—
360	C₂×C₄	—	146	2	no	—
361	C₂×C₄	—	146	2	no	—
362	C₂×C₄	C₄×C₂²⋊D₇₃	1	2	yes	—
363	C₂×C₄	C₂×C₈×D₇₃	1	2	yes	—
364	C₂×C₄	C₂×C₈×D₇₃	1	1	yes	characteristic
365	C₂×C₄	#14556597	1	2	yes	—
366	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
367	C₈	—	2	2	no	—
368	C₈	—	146	2	no	—
369	C₈	—	146	1	no	—
370	C₈	—	146	1	no	—
371	C₈	C₄×C₂²⋊D₇₃	1	2	yes	—
372	C₈	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
373	C₈	C₂×#11924028	1	1	yes	characteristic
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	2	no	—
377	C₂²	—	2	2	no	—
378	C₂²	—	2	2	no	—
379	C₂²	—	146	2	no	—
380	C₂²	—	146	2	no	—
381	C₂²	—	146	2	no	—
382	C₂²	C₈×C₂²⋊D₇₃	1	2	yes	—
383	C₂²	C₂²×C₈×D₇₃	1	1	yes	characteristic
384	C₄	—	2	2	no	—
385	C₄	—	73	2	no	—
386	C₄	—	146	1	no	—
387	C₄	—	146	1	no	—
388	C₄	—	146	1	no	—
389	C₄	—	146	2	no	—
390	C₄	C₈×C₂²⋊D₇₃	1	2	yes	—
391	C₄	C₂×C₄×C₂²⋊D₇₃	1	1	yes	characteristic
392	C₄	C₂×#14556597	1	1	yes	characteristic
393	C₂	—	2	2	no	—
394	C₂	—	4	2	no	—
395	C₂	—	292	2	no	—
396	C₂	C₂×C₈×C₂²⋊D₇₃	1	1	yes	characteristic
397	C₂	#504×D₇₃	1	1	yes	characteristic
398	C₂	#22623032	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₇₃
commutator, socle	C₂²×C₇₃	C₂³×C₈
Fitting	C₂×#504×C₇₃	C₂
prime radical	#17989133	C₄
cosocle	C₂×C₈×C₇₃	C₂⁴
hypercenter	C₂×#504	D₇₃
hypocenter	C₇₃	#33438
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₈ ◁ C₂×#504

Complements

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

N	H ≅ G/N	type
1. C₂×#17989005	C₂	semidirect
3. #22611761	C₂	semidirect
4. #22611756	C₂	semidirect
5. #22611754	C₂	semidirect
6. C₁₆×C₂²⋊D₇₃	C₂	semidirect
7. C₂×#17988405	C₂	semidirect
8. #22611545	C₂	semidirect
9. #22611544	C₂	semidirect
10. M₃₂×Dic₇₃	C₂	semidirect
11. C₂×#504×C₇₃	C₂	semidirect
84. M₃₂×C₇₃	D₄	semidirect
192. Dic₇₃	#504	semidirect
201. C₂×#504	D₇₃	semidirect
211. C₇₃	#33438	semidirect
269. M₃₂	C₂²⋊D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17989005	2
#22618641	2
#22611761	2
#22611756	2
#22611754	2
C₁₆×C₂²⋊D₇₃	2
C₂×#17988405	2
#22611545	2
#22611544	2
M₃₂×Dic₇₃	2
C₂×#504×C₇₃	2
#33438	73