Subgroups — #33955643

Order 18688.

1890 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	#533×D₇₃	C₂	1	2	yes	maximal
2	#22620479	C₂	1	8	yes	maximal, complemented
3	#22620474	C₂	1	4	yes	maximal, complemented
4	#22620472	C₂	1	4	yes	maximal, complemented
5	#22620454	C₂	1	4	yes	maximal, complemented
6	#22620445	C₂	1	1	yes	maximal, characteristic, complemented
7	#22620441	C₂	1	2	yes	maximal, complemented
8	#22618519	C₂	1	4	yes	maximal
9	C₂×C₄×#11924011	C₂	1	1	yes	maximal, characteristic
10	C₇₃×#3160	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#11924011	C₂²	1	2	yes	—
12	#17989144	C₂²	1	2	yes	—
13	#17989143	C₂²	1	4	yes	—
14	#17989142	C₂²	1	4	yes	—
15	#17989141	—	2	4	no	—
16	#17989140	C₂²	1	4	yes	—
17	#17989139	—	2	4	no	—
18	C₄⋊Q₈×D₇₃	C₂²	1	4	yes	—
19	#125×D₇₃	C₂²	1	4	yes	—
20	C₂²⋊Q₈×D₇₃	—	2	4	no	—
21	C₄×Q₈×D₇₃	—	2	4	no	—
22	#117×D₇₃	C₂²	1	4	yes	—
23	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
24	#17988995	C₂²	1	16	yes	complemented
25	#17988994	C₂²	1	16	yes	complemented
26	#17988992	C₂²	1	2	yes	complemented
27	#17988990	C₂²	1	4	yes	complemented
28	#17988989	C₂²	1	4	yes	complemented
29	#17988986	C₂²	1	8	yes	complemented
30	#17988985	C₂²	1	2	yes	complemented
31	#17988983	C₂²	1	4	yes	complemented
32	#17988628	C₂²	1	16	yes	—
33	#17988626	C₂²	1	16	yes	—
34	#17988625	C₂²	1	4	yes	—
35	#17988623	C₂²	1	8	yes	—
36	C₄×#11924011	C₂²	1	2	yes	—
37	C₄×#11924011	C₂²	1	2	yes	—
38	C₄×#11924011	C₂²	1	4	yes	—
39	C₂×#14556501	C₂²	1	2	yes	—
40	C₂×C₄×#10596831	C₂²	1	1	yes	characteristic
41	#533×C₇₃	C₂²	1	2	yes	—
42	#500×C₇₃	C₂²	1	2	yes	complemented
43	#499×C₇₃	C₂²	1	4	yes	complemented
44	#498×C₇₃	C₂²	1	2	yes	complemented
45	#427×C₇₃	C₂²	1	4	yes	—
46	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
47	C₂×Q₈×D₇₃	—	2	4	no	—
48	C₂²×C₄×D₇₃	D₄	1	2	yes	—
49	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
50	C₂×#11924011	Q₈	1	16	yes	complemented
51	C₂×#11924011	C₂³	1	4	yes	—
52	C₂×#11924011	C₂³	1	4	yes	—
53	C₂²×#10596831	C₂³	1	2	yes	—
54	#14556591	C₂³	1	4	yes	—
55	#14556590	—	2	4	no	—
56	#14556590	C₂³	1	8	yes	—
57	#14556589	—	2	4	no	—
58	#14556583	C₂³	1	4	yes	—
59	#14556582	C₂³	1	8	yes	—
60	#14556581	—	2	8	no	—
61	#14556571	—	2	4	no	—
62	#14556570	—	2	4	no	—
63	#14556569	—	2	8	no	—
64	#14556568	—	2	8	no	—
65	#14556567	—	2	4	no	—
66	Q₈×Dic₇₃	—	2	4	no	—
67	C₄×Dic₁₄₆	—	2	8	no	—
68	C₄×Dic₁₄₆	—	2	4	no	—
69	#14556556	—	2	4	no	—
70	#14556556	—	2	8	no	—
71	#14556550	C₂³	1	4	yes	—
72	#14556549	C₂³	1	8	yes	—
73	#14556548	—	2	4	no	—
74	#14556547	—	2	4	no	—
75	C₄⋊C₄×D₇₃	—	2	4	no	—
76	C₄⋊C₄×D₇₃	—	2	8	no	—
77	C₄⋊C₄×D₇₃	C₂³	1	8	yes	—
78	C₂²⋊C₄×D₇₃	—	2	4	no	—
79	C₂×C₄×Dic₇₃	D₄	1	2	yes	—
80	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
81	C₄²×D₇₃	—	2	4	no	—
82	C₄²×D₇₃	D₄	1	4	yes	—
83	C₄²×D₇₃	C₂³	1	2	yes	—
84	C₄²×D₇₃	C₂³	1	2	yes	—
85	#14556525	C₂³	1	8	yes	—
86	#14556524	C₂³	1	16	yes	—
87	#14556523	C₂³	1	8	yes	—
88	#14556522	C₂³	1	16	yes	—
89	#14556501	C₂³	1	4	yes	—
90	#14556501	C₂³	1	4	yes	—
91	C₄×#10596831	C₂³	1	2	yes	—
92	C₄×#10596831	C₂³	1	2	yes	—
93	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
94	C₄⋊Q₈×C₇₃	C₂³	1	4	yes	—
95	#125×C₇₃	C₂³	1	4	yes	—
96	C₂²⋊Q₈×C₇₃	—	2	4	no	—
97	C₄×Q₈×C₇₃	—	2	4	no	—
98	#117×C₇₃	C₂³	1	4	yes	—
99	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
100	#107×C₇₃	C₂³	1	8	yes	—
101	#106×C₇₃	C₂³	1	8	yes	—
102	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
103	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
104	C₄×C₈×C₇₃	C₂³	1	2	yes	—
105	C₂³×D₇₃	C₂×D₄	1	1	yes	characteristic
106	C₂×Dic₁₄₆	—	2	4	no	—
107	C₂×Dic₁₄₆	—	2	8	no	—
108	Q₈×D₇₃	—	4	16	no	—
109	C₂²×Dic₇₃	C₂×D₄	1	2	yes	—
110	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₄×D₇₃	—	2	8	no	—
112	C₂×C₄×D₇₃	—	4	4	no	—
113	C₂×C₄×D₇₃	C₂×D₄	1	4	yes	—
114	C₂×C₄×D₇₃	C₂×D₄	1	4	yes	—
115	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
116	C₂×C₄×D₇₃	C₂×Q₈	1	8	yes	—
117	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
118	#11924011	C₂×Q₈	1	16	yes	complemented
119	#11924011	C₂×Q₈	1	16	yes	complemented
120	C₂×#10596831	C₂×Q₈	1	8	yes	complemented
121	C₂×#10596831	C₂⁴	1	4	yes	—
122	C₄⋊Dic₇₃	—	2	4	no	—
123	C₄⋊Dic₇₃	—	2	8	no	—
124	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
125	#11924007	—	2	8	no	—
126	#11924007	—	2	8	no	—
127	#11924007	—	2	8	no	—
128	#11924007	—	2	8	no	—
129	C₂²⋊Dic₇₃	—	2	4	no	—
130	#11924005	—	2	8	no	—
131	C₄×Dic₇₃	—	2	4	no	—
132	C₄×Dic₇₃	—	2	8	no	—
133	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
134	C₄×Dic₇₃	C₂×D₄	1	4	yes	—
135	C₄×Dic₇₃	C₂×D₄	1	4	yes	—
136	C₄×Dic₇₃	C₂⁴	1	2	yes	—
137	C₂×Q₈×C₇₃	—	2	4	no	—
138	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
139	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
140	C₂×C₈×C₇₃	C₂×Q₈	1	8	yes	complemented
141	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
142	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
143	C₄⋊C₄×C₇₃	—	2	8	no	—
144	C₄⋊C₄×C₇₃	—	2	4	no	—
145	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
146	C₂²⋊C₄×C₇₃	—	2	4	no	—
147	C₄²×C₇₃	—	2	4	no	—
148	C₄²×C₇₃	C₂×D₄	1	2	yes	—
149	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
150	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
151	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
152	C₂²×D₇₃	—	4	2	no	—
153	C₂²×D₇₃	C₄⋊Q₈	1	4	yes	—
154	C₂²×D₇₃	C₂²×D₄	1	2	yes	—
155	Q₈×C₇₃	—	4	8	no	—
156	C₂×C₄×C₇₃	—	2	4	no	—
157	C₂×C₄×C₇₃	—	2	8	no	—
158	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
159	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
160	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₇₃	C₂²×Q₈	1	4	yes	—
162	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
163	C₂×Dic₇₃	—	2	8	no	—
164	C₂×Dic₇₃	—	4	2	no	—
165	C₂×Dic₇₃	C₄⋊Q₈	1	4	yes	—
166	C₂×Dic₇₃	C₂²×D₄	1	4	yes	—
167	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
168	C₄×D₇₃	—	2	8	no	—
169	C₄×D₇₃	—	4	4	no	—
170	C₄×D₇₃	—	4	16	no	—
171	C₄×D₇₃	C₄⋊Q₈	1	8	yes	—
172	C₄×D₇₃	C₂²×Q₈	1	8	yes	—
173	Dic₁₄₆	—	4	16	no	—
174	Dic₁₄₆	—	4	8	no	—
175	C₈×C₇₃	C₂²×Q₈	1	4	yes	—
176	C₈×C₇₃	C₂²×Q₈	1	4	yes	—
177	#10596831	C₂²×Q₈	1	8	yes	—
178	C₂²×C₇₃	—	2	2	no	—
179	C₂²×C₇₃	C₂×C₄⋊Q₈	1	2	yes	—
180	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
181	C₂×D₇₃	—	2	4	no	—
182	C₂×D₇₃	—	4	4	no	—
183	C₂×D₇₃	C₂×C₄⋊Q₈	1	4	yes	—
184	C₄×C₇₃	—	2	2	no	—
185	C₄×C₇₃	—	4	8	no	—
186	C₄×C₇₃	C₂×C₄⋊Q₈	1	2	yes	—
187	C₄×C₇₃	#575	1	4	yes	—
188	C₄×C₇₃	C₂³×Q₈	1	2	yes	—
189	Dic₇₃	—	2	4	no	—
190	Dic₇₃	—	4	8	no	—
191	Dic₇₃	C₂×C₄⋊Q₈	1	4	yes	—
192	#60663	—	73	1	no	maximal, Sylow
193	C₂×C₇₃	—	2	2	no	—
194	C₂×C₇₃	C₂²×C₄⋊Q₈	1	1	yes	characteristic
195	C₂×C₇₃	C₂×#575	1	2	yes	—
196	D₇₃	—	2	4	no	—
197	C₂×#533	—	73	2	no	—
198	#3166	—	73	8	no	—
199	#3165	—	73	4	no	—
200	#3165	—	73	4	no	—
201	#3162	—	73	4	no	—
202	#3160	—	73	1	no	—
203	#3160	—	73	2	no	—
204	#3160	D₇₃	1	1	yes	characteristic, complemented
205	#2911	—	73	4	no	—
206	C₂×C₄×M₁₆	—	73	1	no	—
207	C₇₃	#60663	1	1	yes	characteristic, complemented, Sylow
208	C₂²×M₁₆	—	73	2	no	—
209	#533	—	73	4	no	—
210	#533	—	73	4	no	—
211	#533	—	73	4	no	—
212	#533	—	73	2	no	—
213	#533	—	146	4	no	—
214	#533	—	146	4	no	—
215	#533	C₂×D₇₃	1	2	yes	—
216	C₂×C₄⋊Q₈	—	73	4	no	—
217	C₂×#125	—	73	4	no	—
218	C₂×C₂²⋊Q₈	—	146	4	no	—
219	C₂×C₄×Q₈	—	146	4	no	—
220	C₂×#117	—	73	4	no	—
221	C₂²×C₄²	—	73	1	no	—
222	#501	—	73	16	no	—
223	#501	—	73	16	no	—
224	#500	—	73	4	no	—
225	#500	—	73	2	no	—
226	#500	C₂×D₇₃	1	2	yes	complemented
227	#499	—	73	8	no	—
228	#499	—	73	4	no	—
229	#499	C₂×D₇₃	1	4	yes	complemented
230	#498	—	73	4	no	—
231	#498	—	73	2	no	—
232	#498	C₂×D₇₃	1	2	yes	complemented
233	#428	—	73	16	no	—
234	#428	—	73	16	no	—
235	#427	—	73	4	no	—
236	#427	—	73	8	no	—
237	#427	C₂×D₇₃	1	4	yes	—
238	C₄×M₁₆	—	73	2	no	—
239	C₄×M₁₆	—	73	2	no	—
240	C₄×M₁₆	—	73	4	no	—
241	C₂×#97	—	73	2	no	—
242	C₂×C₄×C₈	—	73	1	no	—
243	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
244	C₂²×Q₈	—	146	4	no	—
245	C₂³×C₄	—	73	2	no	—
246	C₂³×C₄	—	73	1	no	—
247	C₂×M₁₆	—	73	16	no	—
248	C₂×M₁₆	—	73	4	no	—
249	C₂×M₁₆	—	73	4	no	—
250	C₂²×C₈	—	73	2	no	—
251	C₂²×C₈	C₂²×D₇₃	1	2	yes	—
252	C₄⋊Q₈	—	73	8	no	—
253	C₄⋊Q₈	—	73	4	no	—
254	C₄⋊Q₈	—	146	4	no	—
255	C₄⋊Q₈	—	146	4	no	—
256	C₄⋊Q₈	C₂²×D₇₃	1	4	yes	—
257	#125	—	73	8	no	—
258	#125	—	73	4	no	—
259	#125	—	146	8	no	—
260	#125	C₂²×D₇₃	1	4	yes	—
261	C₂²⋊Q₈	—	2	4	no	—
262	C₂²⋊Q₈	—	146	8	no	—
263	C₂²⋊Q₈	—	146	8	no	—
264	C₂²⋊Q₈	—	146	4	no	—
265	C₂²⋊Q₈	—	146	4	no	—
266	C₂²⋊Q₈	—	146	4	no	—
267	C₄×Q₈	—	2	4	no	—
268	C₄×Q₈	—	146	8	no	—
269	C₄×Q₈	—	146	8	no	—
270	C₄×Q₈	—	146	4	no	—
271	C₄×Q₈	—	146	4	no	—
272	C₄×Q₈	—	146	4	no	—
273	#117	—	73	4	no	—
274	#117	—	73	8	no	—
275	#117	—	146	4	no	—
276	#117	—	146	4	no	—
277	#117	C₂²×D₇₃	1	4	yes	—
278	C₂×C₄⋊C₄	—	73	8	no	—
279	C₂×C₄⋊C₄	—	146	8	no	—
280	C₂×C₄⋊C₄	—	146	4	no	—
281	C₂×C₂²⋊C₄	—	146	4	no	—
282	C₂×C₄²	—	73	2	no	—
283	C₂×C₄²	—	73	1	no	—
284	C₂×C₄²	—	73	4	no	—
285	C₂×C₄²	—	73	2	no	—
286	C₂×C₄²	—	73	2	no	—
287	C₂×C₄²	—	146	4	no	—
288	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
289	#107	—	73	8	no	—
290	#107	—	73	16	no	—
291	#107	C₂²×D₇₃	1	8	yes	—
292	#106	—	73	8	no	—
293	#106	—	73	16	no	—
294	#106	C₂²×D₇₃	1	8	yes	—
295	#97	—	73	4	no	—
296	#97	—	73	4	no	—
297	C₄×C₈	—	73	2	no	—
298	C₄×C₈	—	73	2	no	—
299	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
300	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
301	C₄×C₈	C₂²×D₇₃	1	2	yes	—
302	C₂⁴	—	73	1	no	—
303	C₂×Q₈	—	2	4	no	—
304	C₂×Q₈	—	292	16	no	—
305	C₂×Q₈	—	146	8	no	—
306	C₂×Q₈	—	146	4	no	—
307	C₂²×C₄	—	292	4	no	—
308	C₂²×C₄	—	73	2	no	—
309	C₂²×C₄	—	73	4	no	—
310	C₂²×C₄	—	73	1	no	—
311	C₂²×C₄	—	73	2	no	—
312	C₂²×C₄	—	73	8	no	—
313	C₂²×C₄	—	73	2	no	—
314	C₂²×C₄	—	73	4	no	—
315	C₂²×C₄	—	146	8	no	—
316	C₂²×C₄	D₄×D₇₃	1	2	yes	—
317	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
318	M₁₆	—	73	16	no	—
319	M₁₆	—	73	16	no	—
320	C₂×C₈	—	73	8	no	—
321	C₂×C₈	—	73	4	no	—
322	C₂×C₈	Q₈×D₇₃	1	8	yes	complemented
323	C₂×C₈	C₂³×D₇₃	1	2	yes	—
324	C₂×C₈	C₂³×D₇₃	1	2	yes	—
325	C₄⋊C₄	—	2	8	no	—
326	C₄⋊C₄	—	2	4	no	—
327	C₄⋊C₄	—	73	8	no	—
328	C₄⋊C₄	—	146	8	no	—
329	C₄⋊C₄	—	146	8	no	—
330	C₄⋊C₄	—	146	8	no	—
331	C₄⋊C₄	—	146	8	no	—
332	C₄⋊C₄	—	146	8	no	—
333	C₄⋊C₄	—	146	4	no	—
334	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
335	C₂²⋊C₄	—	2	4	no	—
336	C₂²⋊C₄	—	146	8	no	—
337	C₂²⋊C₄	—	146	4	no	—
338	C₄²	—	2	4	no	—
339	C₄²	—	73	4	no	—
340	C₄²	—	73	4	no	—
341	C₄²	—	73	2	no	—
342	C₄²	—	73	2	no	—
343	C₄²	—	146	8	no	—
344	C₄²	—	146	4	no	—
345	C₄²	D₄×D₇₃	1	2	yes	—
346	C₄²	C₂³×D₇₃	1	1	yes	characteristic
347	C₄²	C₂³×D₇₃	1	1	yes	characteristic
348	C₂³	—	292	2	no	—
349	C₂³	—	73	4	no	—
350	C₂³	—	73	2	no	—
351	C₂³	C₂×D₄×D₇₃	1	1	yes	characteristic
352	Q₈	—	4	8	no	—
353	Q₈	—	292	16	no	—
354	Q₈	—	292	8	no	—
355	C₂×C₄	—	2	4	no	—
356	C₂×C₄	—	2	8	no	—
357	C₂×C₄	—	292	4	no	—
358	C₂×C₄	—	292	16	no	—
359	C₂×C₄	—	292	2	no	—
360	C₂×C₄	—	73	4	no	—
361	C₂×C₄	—	73	2	no	—
362	C₂×C₄	—	73	8	no	—
363	C₂×C₄	—	73	8	no	—
364	C₂×C₄	—	73	4	no	—
365	C₂×C₄	—	146	8	no	—
366	C₂×C₄	—	146	8	no	—
367	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
368	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
369	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
370	C₂×C₄	C₂×Q₈×D₇₃	1	4	yes	—
371	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
372	C₈	—	73	8	no	—
373	C₈	C₂×Q₈×D₇₃	1	4	yes	—
374	C₈	C₂×Q₈×D₇₃	1	4	yes	—
375	C₂²	—	2	2	no	—
376	C₂²	—	292	4	no	—
377	C₂²	—	73	4	no	—
378	C₂²	—	146	4	no	—
379	C₂²	C₄⋊Q₈×D₇₃	1	2	yes	—
380	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
381	C₄	—	2	2	no	—
382	C₄	—	4	8	no	—
383	C₄	—	292	8	no	—
384	C₄	—	73	4	no	—
385	C₄	—	146	4	no	—
386	C₄	C₄⋊Q₈×D₇₃	1	2	yes	—
387	C₄	#17989384	1	4	yes	—
388	C₄	C₂²×Q₈×D₇₃	1	2	yes	—
389	C₂	—	2	2	no	—
390	C₂	—	146	4	no	—
391	C₂	C₂×C₄⋊Q₈×D₇₃	1	1	yes	characteristic
392	C₂	C₂×#17989384	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#3160	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	C₂³×D₇₃	C₂×D₄
hypercenter	#3160	D₇₃
hypocenter	C₇₃	#60663
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3160

Complements

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

N	H ≅ G/N	type
2. #22620479	C₂	semidirect
3. #22620474	C₂	semidirect
4. #22620472	C₂	semidirect
5. #22620454	C₂	semidirect
6. #22620445	C₂	semidirect
7. #22620441	C₂	semidirect
10. C₇₃×#3160	C₂	semidirect
24. #17988995	C₂²	semidirect
25. #17988994	C₂²	semidirect
26. #17988992	C₂²	semidirect
27. #17988990	C₂²	semidirect
28. #17988989	C₂²	semidirect
29. #17988986	C₂²	semidirect
30. #17988985	C₂²	semidirect
31. #17988983	C₂²	semidirect
42. #500×C₇₃	C₂²	semidirect
43. #499×C₇₃	C₂²	semidirect
44. #498×C₇₃	C₂²	semidirect
50. C₂×#11924011	Q₈	semidirect
118. #11924011	C₂×Q₈	semidirect
119. #11924011	C₂×Q₈	semidirect
120. C₂×#10596831	C₂×Q₈	semidirect
140. C₂×C₈×C₇₃	C₂×Q₈	semidirect
204. #3160	D₇₃	semidirect
207. C₇₃	#60663	semidirect
226. #500	C₂×D₇₃	semidirect
229. #499	C₂×D₇₃	semidirect
232. #498	C₂×D₇₃	semidirect
322. C₂×C₈	Q₈×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#533×D₇₃	2
#22620479	2
#22620474	2
#22620472	2
#22620454	2
#22620445	2
#22620441	2
#22618519	2
C₂×C₄×#11924011	2
C₇₃×#3160	2
#60663	73