Subgroups — #33069142

Order 18688.

726 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22620853	C₂	1	1	yes	maximal, characteristic, complemented
2	#22620846	C₂	1	1	yes	maximal, characteristic
3	C₂×#17988934	C₂	1	1	yes	maximal, characteristic, complemented
4	#22609492	C₂	1	4	yes	maximal, complemented
5	#22609368	C₂	1	4	yes	maximal, complemented
6	#22608679	C₂	1	1	yes	maximal, characteristic, complemented
7	#22608617	C₂	1	1	yes	maximal, characteristic, complemented
8	#22608600	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#2931	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#14556591	C₂²	1	1	yes	characteristic
11	C₂×#14556588	C₂²	1	1	yes	characteristic
12	#17988963	—	2	1	no	—
13	#17988959	—	2	1	no	—
14	#17988939	—	2	1	no	—
15	#17988935	—	2	1	no	—
16	#17988934	—	2	1	no	—
17	#17988934	—	2	1	no	—
18	#17988934	C₂²	1	2	yes	—
19	#17988934	C₂²	1	2	yes	—
20	#17988792	C₂²	1	4	yes	complemented
21	#17988782	C₂²	1	4	yes	—
22	#17988725	—	2	2	no	—
23	#17988720	—	2	2	no	—
24	#17988640	C₂²	1	1	yes	characteristic
25	#17988640	C₂²	1	1	yes	characteristic
26	C₂×#14556513	—	2	1	no	—
27	C₂×#14556513	—	2	1	no	—
28	#17988340	C₂²	1	2	yes	complemented
29	#17988338	C₂²	1	2	yes	complemented
30	#17988332	C₂²	1	4	yes	complemented
31	#17988330	C₂²	1	4	yes	—
32	C₂×#131×C₇₃	—	2	1	no	—
33	#532×C₇₃	C₂²	1	1	yes	characteristic
34	#436×C₇₃	—	2	1	no	—
35	#436×C₇₃	C₂²	1	2	yes	complemented
36	C₈×D₄×C₇₃	—	2	1	no	—
37	C₈×D₄×C₇₃	C₂²	1	2	yes	complemented
38	#423×C₇₃	C₂²	1	1	yes	characteristic
39	#408×C₇₃	—	2	1	no	—
40	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
41	C₂²×Dic₁₄₆	—	2	1	no	—
42	C₂²×D₂₉₂	—	2	1	no	—
43	C₂²×D₂₉₂	—	2	1	no	—
44	C₂²×D₂₉₂	—	2	1	no	—
45	C₂×#11924016	—	2	4	no	—
46	C₂×#11924013	—	2	4	no	—
47	#14556591	—	2	1	no	—
48	#14556591	—	2	1	no	—
49	#14556591	—	2	1	no	—
50	#14556591	C₂³	1	2	yes	—
51	#14556588	—	2	1	no	—
52	#14556588	—	2	1	no	—
53	#14556588	—	2	1	no	—
54	#14556588	C₂³	1	2	yes	—
55	C₂×C₄⋊Dic₇₃	—	2	1	no	—
56	C₂×C₄⋊Dic₇₃	—	2	1	no	—
57	C₄⋊#10596831	C₂³	1	2	yes	—
58	C₄⋊#10596831	C₂³	1	2	yes	—
59	#14556514	—	2	4	no	—
60	#14556513	—	2	2	no	—
61	#14556513	—	2	2	no	—
62	#14556513	—	2	2	no	—
63	#14556513	—	2	2	no	—
64	#14556511	—	2	4	no	—
65	C₂²⋊#10596831	—	2	1	no	—
66	C₂²⋊#10596831	—	2	1	no	—
67	C₄×#10596831	—	2	1	no	—
68	C₄×#10596831	—	2	1	no	—
69	C₂×#41×C₇₃	—	2	1	no	—
70	#131×C₇₃	—	4	4	no	—
71	C₂×M₁₆×C₇₃	—	2	1	no	—
72	C₂×M₁₆×C₇₃	—	2	2	no	—
73	C₂²×C₈×C₇₃	—	2	2	no	—
74	C₂²×C₈×C₇₃	D₄	1	1	yes	characteristic
75	C₂²×C₈×C₇₃	D₄	1	1	yes	characteristic
76	C₄⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
77	#127×C₇₃	D₄	1	1	yes	characteristic
78	#124×C₇₃	—	2	1	no	—
79	#121×C₇₃	—	2	1	no	—
80	#121×C₇₃	D₄	1	2	yes	—
81	C₄×D₄×C₇₃	—	2	1	no	—
82	C₄×D₄×C₇₃	C₂³	1	2	yes	—
83	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
84	C₄⋊C₈×C₇₃	—	2	1	no	—
85	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
86	C₂²⋊C₈×C₇₃	—	2	2	no	—
87	C₂²⋊C₈×C₇₃	—	2	2	no	—
88	C₄×C₈×C₇₃	D₄	1	1	yes	characteristic
89	C₄×C₈×C₇₃	D₄	1	1	yes	characteristic
90	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
91	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
92	C₂³×D₇₃	—	4	1	no	—
93	C₂×Dic₁₄₆	—	2	2	no	—
94	C₂×Dic₁₄₆	—	4	1	no	—
95	C₂×Dic₁₄₆	—	8	2	no	—
96	C₂×D₂₉₂	—	2	2	no	—
97	C₂×D₂₉₂	—	2	2	no	—
98	C₂×D₂₉₂	—	2	2	no	—
99	C₂×D₂₉₂	—	4	2	no	—
100	C₂×D₂₉₂	—	4	2	no	—
101	C₂×D₂₉₂	—	4	1	no	—
102	C₂×D₂₉₂	—	4	1	no	—
103	C₂×D₂₉₂	—	4	1	no	—
104	C₂×D₂₉₂	—	8	2	no	—
105	C₂×D₂₉₂	—	8	2	no	—
106	C₂²×Dic₇₃	—	4	1	no	—
107	#11924016	—	8	4	no	—
108	#11924013	—	8	4	no	—
109	C₂×#10596831	—	2	2	no	—
110	C₂×#10596831	—	2	2	no	—
111	C₄⋊Dic₇₃	—	2	2	no	—
112	C₄⋊Dic₇₃	—	2	2	no	—
113	C₄⋊Dic₇₃	—	4	1	no	—
114	C₄⋊Dic₇₃	—	4	1	no	—
115	#41×C₇₃	—	4	2	no	—
116	#41×C₇₃	—	4	2	no	—
117	C₂×Q₈×C₇₃	—	2	1	no	—
118	C₂×D₄×C₇₃	—	2	2	no	—
119	C₂×D₄×C₇₃	—	2	1	no	—
120	C₂×D₄×C₇₃	—	2	1	no	—
121	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
122	C₂²×C₄×C₇₃	—	2	2	no	—
123	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
124	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
125	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
126	M₁₆×C₇₃	—	4	4	no	—
127	M₁₆×C₇₃	—	4	2	no	—
128	C₂×C₈×C₇₃	—	2	2	no	—
129	C₂×C₈×C₇₃	—	2	2	no	—
130	C₂×C₈×C₇₃	—	2	2	no	—
131	C₂×C₈×C₇₃	—	4	4	no	—
132	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
133	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
134	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
135	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
136	C₄⋊C₄×C₇₃	—	2	1	no	—
137	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
138	C₂²⋊C₄×C₇₃	—	2	2	no	—
139	C₂²⋊C₄×C₇₃	—	2	2	no	—
140	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
141	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
142	C₄²×C₇₃	#41	1	1	yes	characteristic
143	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
144	C₂³×C₇₃	—	2	2	no	—
145	C₂³×C₇₃	#121	1	1	yes	characteristic
146	C₂²×D₇₃	—	4	2	no	—
147	C₂²×D₇₃	—	8	2	no	—
148	C₂²×D₇₃	—	8	2	no	—
149	C₂²×D₇₃	—	8	2	no	—
150	Q₈×C₇₃	—	4	2	no	—
151	D₄×C₇₃	—	2	4	no	—
152	D₄×C₇₃	—	4	4	no	—
153	D₄×C₇₃	—	4	2	no	—
154	D₄×C₇₃	—	4	2	no	—
155	C₂×C₄×C₇₃	—	2	2	no	—
156	C₂×C₄×C₇₃	—	2	2	no	—
157	C₂×C₄×C₇₃	—	2	2	no	—
158	C₂×C₄×C₇₃	—	4	2	no	—
159	C₂×C₄×C₇₃	—	4	2	no	—
160	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
161	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
162	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
163	C₂×C₄×C₇₃	#135	1	2	yes	—
164	C₂×C₄×C₇₃	AGL(1,ℤ/8)	1	2	yes	—
165	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
168	C₂×Dic₇₃	—	4	2	no	—
169	C₂×Dic₇₃	—	8	2	no	—
170	D₂₉₂	—	4	2	no	—
171	D₂₉₂	—	4	2	no	—
172	D₂₉₂	—	4	4	no	—
173	D₂₉₂	—	8	2	no	—
174	D₂₉₂	—	8	2	no	—
175	D₂₉₂	—	8	2	no	—
176	D₂₉₂	—	8	2	no	—
177	Dic₁₄₆	—	4	4	no	—
178	Dic₁₄₆	—	8	2	no	—
179	C₈×C₇₃	—	2	1	no	—
180	C₈×C₇₃	—	2	1	no	—
181	C₈×C₇₃	—	2	1	no	—
182	C₈×C₇₃	—	2	1	no	—
183	C₈×C₇₃	—	4	2	no	—
184	#10596831	—	4	2	no	—
185	#10596831	—	4	2	no	—
186	C₂²×C₇₃	—	2	1	no	—
187	C₂²×C₇₃	—	2	1	no	—
188	C₂²×C₇₃	—	4	2	no	—
189	C₂²×C₇₃	—	4	2	no	—
190	C₂²×C₇₃	—	4	2	no	—
191	C₂²×C₇₃	#463	1	2	yes	—
192	C₂²×C₇₃	C₂×#121	1	1	yes	characteristic
193	C₂×D₇₃	—	8	2	no	—
194	C₂×D₇₃	—	8	2	no	—
195	C₂×D₇₃	—	8	2	no	—
196	C₂×D₇₃	—	16	4	no	—
197	C₄×C₇₃	—	2	1	no	—
198	C₄×C₇₃	—	2	1	no	—
199	C₄×C₇₃	—	4	2	no	—
200	C₄×C₇₃	#463	1	2	yes	—
201	C₄×C₇₃	#471	1	2	yes	—
202	C₄×C₇₃	C₂×#135	1	1	yes	characteristic
203	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	C₄×C₇₃	#576	1	2	yes	—
205	Dic₇₃	—	8	2	no	—
206	#19198	—	73	1	no	maximal, Sylow
207	C₂×C₇₃	—	2	2	no	—
208	C₂×C₇₃	—	8	2	no	—
209	C₂×C₇₃	C₂×#463	1	1	yes	characteristic
210	C₂×C₇₃	#3058	1	1	yes	characteristic
211	C₂×C₇₃	C₂×#471	1	1	yes	characteristic
212	D₇₃	—	16	2	no	—
213	#3206	—	73	1	no	—
214	#3205	—	73	1	no	—
215	C₂×#486	—	73	1	no	—
216	#2931	D₇₃	1	1	yes	characteristic, complemented
217	#1701	—	73	4	no	—
218	#1681	—	73	4	no	—
219	#1564	—	73	1	no	—
220	#1549	—	73	1	no	—
221	#1545	—	73	1	no	—
222	C₇₃	#19198	1	1	yes	characteristic, complemented, Sylow
223	C₂×#131	—	2	1	no	—
224	#532	C₂×D₇₃	1	1	yes	characteristic
225	C₂×C₄⋊Q₈	—	73	1	no	—
226	C₂×#127	—	73	1	no	—
227	#493	—	146	1	no	—
228	#492	—	146	1	no	—
229	#487	—	146	1	no	—
230	#486	—	73	2	no	—
231	#486	—	73	2	no	—
232	#486	—	146	1	no	—
233	#486	—	146	1	no	—
234	#486	—	146	1	no	—
235	#461	—	73	4	no	—
236	#459	—	73	4	no	—
237	#448	—	146	2	no	—
238	#447	—	146	2	no	—
239	#436	—	2	1	no	—
240	#436	C₂×D₇₃	1	2	yes	complemented
241	C₈×D₄	—	2	1	no	—
242	C₈×D₄	C₂×D₇₃	1	2	yes	complemented
243	#431	—	73	1	no	—
244	#431	—	73	1	no	—
245	#423	C₂×D₇₃	1	1	yes	characteristic
246	C₂×#102	—	146	1	no	—
247	C₂×#102	—	146	1	no	—
248	#408	—	2	1	no	—
249	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
250	#335	—	73	2	no	—
251	#334	—	73	2	no	—
252	#332	—	73	4	no	—
253	#331	—	73	4	no	—
254	C₂×#41	—	2	1	no	—
255	C₂²×Q₈	—	146	1	no	—
256	C₂²×D₄	—	146	1	no	—
257	C₂²×D₄	—	146	1	no	—
258	C₂²×D₄	—	146	1	no	—
259	C₂×SD₁₆	—	146	4	no	—
260	C₂×D₈	—	146	4	no	—
261	#131	—	4	4	no	—
262	C₂×M₁₆	—	2	1	no	—
263	C₂×M₁₆	—	2	2	no	—
264	C₂²×C₈	—	2	2	no	—
265	C₂²×C₈	C₂²⋊D₇₃	1	1	yes	characteristic
266	C₂²×C₈	C₂²⋊D₇₃	1	1	yes	characteristic
267	C₄⋊Q₈	—	73	2	no	—
268	C₄⋊Q₈	—	146	1	no	—
269	C₄⋊Q₈	—	146	1	no	—
270	C₄⋊Q₈	—	146	1	no	—
271	C₄⋊Q₈	D₂₉₂	1	1	yes	characteristic
272	#127	—	73	2	no	—
273	#127	—	146	1	no	—
274	#127	—	146	1	no	—
275	#127	—	146	1	no	—
276	#127	D₂₉₂	1	1	yes	characteristic
277	#124	—	2	1	no	—
278	#121	—	2	1	no	—
279	#121	D₂₉₂	1	2	yes	—
280	C₄×D₄	—	2	1	no	—
281	C₄×D₄	C₂²×D₇₃	1	2	yes	—
282	C₂×C₄⋊C₄	—	146	1	no	—
283	C₂×C₄⋊C₄	—	146	1	no	—
284	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
285	C₄⋊C₈	—	2	1	no	—
286	C₄⋊C₈	—	73	2	no	—
287	C₄⋊C₈	—	73	2	no	—
288	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
289	#103	—	146	4	no	—
290	#102	—	146	2	no	—
291	#102	—	146	2	no	—
292	#102	—	146	2	no	—
293	#102	—	146	2	no	—
294	#102	—	146	4	no	—
295	C₂²⋊C₈	—	2	2	no	—
296	C₂²⋊C₈	—	2	2	no	—
297	C₂²⋊C₈	—	146	1	no	—
298	C₂²⋊C₈	—	146	1	no	—
299	C₄×C₈	—	146	1	no	—
300	C₄×C₈	—	146	1	no	—
301	C₄×C₈	C₂²⋊D₇₃	1	1	yes	characteristic
302	C₄×C₈	C₂²⋊D₇₃	1	1	yes	characteristic
303	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
304	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
305	C₂⁴	—	292	1	no	—
306	#41	—	4	2	no	—
307	#41	—	4	2	no	—
308	C₂×Q₈	—	2	1	no	—
309	C₂×Q₈	—	292	1	no	—
310	C₂×Q₈	—	584	2	no	—
311	C₂×Q₈	—	146	2	no	—
312	C₂×D₄	—	2	2	no	—
313	C₂×D₄	—	2	1	no	—
314	C₂×D₄	—	2	1	no	—
315	C₂×D₄	—	292	1	no	—
316	C₂×D₄	—	292	1	no	—
317	C₂×D₄	—	292	1	no	—
318	C₂×D₄	—	292	2	no	—
319	C₂×D₄	—	292	2	no	—
320	C₂×D₄	—	584	2	no	—
321	C₂×D₄	—	584	2	no	—
322	C₂×D₄	—	146	2	no	—
323	C₂×D₄	—	146	2	no	—
324	C₂×D₄	—	146	2	no	—
325	C₂×D₄	C₂×D₂₉₂	1	2	yes	—
326	C₂²×C₄	—	2	2	no	—
327	C₂²×C₄	—	292	1	no	—
328	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
329	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
330	C₂²×C₄	#11924028	1	1	yes	characteristic
331	SD₁₆	—	584	4	no	—
332	D₈	—	584	4	no	—
333	M₁₆	—	4	4	no	—
334	M₁₆	—	4	2	no	—
335	C₂×C₈	—	2	2	no	—
336	C₂×C₈	—	2	2	no	—
337	C₂×C₈	—	2	2	no	—
338	C₂×C₈	—	4	4	no	—
339	C₂×C₈	—	146	2	no	—
340	C₂×C₈	—	146	2	no	—
341	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
342	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
343	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
344	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	292	1	no	—
347	C₄⋊C₄	—	292	1	no	—
348	C₄⋊C₄	—	146	2	no	—
349	C₄⋊C₄	—	146	2	no	—
350	C₄⋊C₄	C₂×D₂₉₂	1	2	yes	—
351	C₂²⋊C₄	—	2	2	no	—
352	C₂²⋊C₄	—	2	2	no	—
353	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
354	C₄²	C₂×D₂₉₂	1	1	yes	characteristic
355	C₄²	#11924028	1	1	yes	characteristic
356	C₄²	C₂³×D₇₃	1	1	yes	characteristic
357	C₂³	—	2	2	no	—
358	C₂³	—	292	2	no	—
359	C₂³	—	584	2	no	—
360	C₂³	—	584	2	no	—
361	C₂³	—	584	2	no	—
362	C₂³	#14556565	1	1	yes	characteristic
363	Q₈	—	4	2	no	—
364	Q₈	—	292	4	no	—
365	Q₈	—	584	2	no	—
366	D₄	—	2	4	no	—
367	D₄	—	4	4	no	—
368	D₄	—	4	2	no	—
369	D₄	—	4	2	no	—
370	D₄	—	292	4	no	—
371	D₄	—	292	2	no	—
372	D₄	—	292	2	no	—
373	D₄	—	584	2	no	—
374	D₄	—	584	2	no	—
375	D₄	—	584	2	no	—
376	D₄	—	584	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	4	2	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	292	2	no	—
383	C₂×C₄	—	584	2	no	—
384	C₂×C₄	#14556565	1	1	yes	characteristic
385	C₂×C₄	#14556565	1	1	yes	characteristic
386	C₂×C₄	#14556565	1	1	yes	characteristic
387	C₂×C₄	#14556611	1	2	yes	—
388	C₂×C₄	#14556617	1	2	yes	—
389	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
390	C₂×C₄	C₂²×D₂₉₂	1	1	yes	characteristic
391	C₂×C₄	C₂×#11924028	1	1	yes	characteristic
392	C₈	—	2	1	no	—
393	C₈	—	2	1	no	—
394	C₈	—	2	1	no	—
395	C₈	—	2	1	no	—
396	C₈	—	4	2	no	—
397	C₈	—	292	2	no	—
398	C₈	—	292	2	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	584	2	no	—
405	C₂²	—	584	2	no	—
406	C₂²	—	584	2	no	—
407	C₂²	—	1168	4	no	—
408	C₂²	#17988802	1	2	yes	—
409	C₂²	C₂×#14556565	1	1	yes	characteristic
410	C₄	—	2	1	no	—
411	C₄	—	2	1	no	—
412	C₄	—	4	2	no	—
413	C₄	—	584	2	no	—
414	C₄	#17988802	1	2	yes	—
415	C₄	#17988850	1	2	yes	—
416	C₄	C₂×#14556611	1	1	yes	characteristic
417	C₄	C₂×#14556617	1	1	yes	characteristic
418	C₄	#17989392	1	2	yes	—
419	C₂	—	2	2	no	—
420	C₂	—	8	2	no	—
421	C₂	—	1168	2	no	—
422	C₂	C₂×#17988802	1	1	yes	characteristic
423	C₂	#22619579	1	1	yes	characteristic
424	C₂	C₂×#17988850	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#14556565
commutator, cosocle	C₄²×C₇₃	C₂⁴
Frattini	C₄²	C₂³×D₇₃
Fitting	C₇₃×#2931	C₂
socle	C₂²×C₇₃	C₂×#121
prime radical	#22620846	C₂
hypercenter	#2931	D₇₃
hypocenter	C₇₃	#19198
LCS	G ▷ C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2931

Complements

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

N	H ≅ G/N	type
1. #22620853	C₂	semidirect
3. C₂×#17988934	C₂	semidirect
4. #22609492	C₂	semidirect
5. #22609368	C₂	semidirect
6. #22608679	C₂	semidirect
7. #22608617	C₂	semidirect
8. #22608600	C₂	semidirect
9. C₇₃×#2931	C₂	semidirect
20. #17988792	C₂²	semidirect
28. #17988340	C₂²	semidirect
29. #17988338	C₂²	semidirect
30. #17988332	C₂²	semidirect
35. #436×C₇₃	C₂²	semidirect
37. C₈×D₄×C₇₃	C₂²	semidirect
216. #2931	D₇₃	semidirect
222. C₇₃	#19198	semidirect
240. #436	C₂×D₇₃	semidirect
242. C₈×D₄	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22620853	2
#22620846	2
C₂×#17988934	2
#22609492	2
#22609368	2
#22608679	2
#22608617	2
#22608600	2
C₇₃×#2931	2
#19198	73