Subgroups — #32982124

Order 18688.

578 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17988878	C₂	1	1	yes	maximal, characteristic
2	C₂×#17988652	C₂	1	1	yes	maximal, characteristic
3	#22610891	C₂	1	1	yes	maximal, characteristic, complemented
4	#22609928	C₂	1	1	yes	maximal, characteristic
5	C₂×#17988335	C₂	1	1	yes	maximal, characteristic, complemented
6	#22607765	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#1296	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₇₃	—	2	1	no	—
9	C₂×#14556591	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
11	#17988878	—	2	2	no	—
12	#17988878	C₄	1	4	yes	complemented
13	#17988652	—	2	2	no	—
14	#17988652	—	2	2	no	—
15	C₂×#14556523	—	2	1	no	—
16	C₂×C₄⋊#10596831	C₂²	1	1	yes	characteristic
17	C₂×#14556513	—	2	1	no	—
18	C₂×#14556511	—	2	1	no	—
19	C₂×#14556503	—	2	1	no	—
20	C₂×C₄×#10596831	C₂²	1	1	yes	characteristic
21	#17988349	—	2	1	no	—
22	#17988349	—	2	1	no	—
23	#17988349	—	2	1	no	—
24	#17988335	—	2	2	no	—
25	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic
26	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic
27	#384×C₇₃	C₂²	1	1	yes	characteristic
28	C₂²×Dic₁₄₆	—	2	1	no	—
29	C₂²×D₂₉₂	D₄	1	1	yes	characteristic
30	C₂²×C₄×D₇₃	—	2	1	no	—
31	C₂²×#10596831	—	2	1	no	—
32	C₂²×#10596831	D₄	1	1	yes	characteristic
33	C₂²×#10596831	D₄	1	1	yes	characteristic
34	C₂×C₈×D₇₃	—	2	4	no	—
35	C₂×C₈×D₇₃	—	4	2	no	—
36	C₂×C₈×D₇₃	—	4	2	no	—
37	#14556591	—	2	1	no	—
38	#14556591	—	2	1	no	—
39	#14556591	—	2	1	no	—
40	#14556591	C₂×C₄	1	2	yes	—
41	C₄×D₂₉₂	—	2	1	no	—
42	C₄×D₂₉₂	—	2	1	no	—
43	C₄×D₂₉₂	C₂×C₄	1	2	yes	—
44	C₄×D₂₉₂	D₄	1	2	yes	—
45	C₂×C₄⋊Dic₇₃	—	2	1	no	—
46	C₂×C₄⋊Dic₇₃	—	2	1	no	—
47	C₂×C₄⋊Dic₇₃	D₄	1	1	yes	characteristic
48	C₂×#11924005	—	2	1	no	—
49	#14556523	—	2	4	no	—
50	C₄⋊#10596831	—	2	1	no	—
51	C₄⋊#10596831	—	2	1	no	—
52	#14556513	—	2	4	no	—
53	#14556511	—	4	2	no	—
54	#14556503	—	2	4	no	—
55	C₄×#10596831	—	2	1	no	—
56	C₄×#10596831	—	2	1	no	—
57	C₂²×C₈×C₇₃	—	2	1	no	—
58	C₂²×C₈×C₇₃	—	2	1	no	—
59	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
60	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
61	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
62	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
63	C₄⋊C₈×C₇₃	—	2	1	no	—
64	C₄⋊C₈×C₇₃	—	2	1	no	—
65	C₄⋊C₈×C₇₃	C₂×C₄	1	2	yes	—
66	C₄⋊C₈×C₇₃	D₄	1	2	yes	—
67	C₂³×D₇₃	—	2	1	no	—
68	C₂×Dic₁₄₆	—	2	2	no	—
69	C₂×Dic₁₄₆	—	4	1	no	—
70	C₂×Dic₁₄₆	—	8	1	no	—
71	C₂×Dic₁₄₆	—	8	1	no	—
72	C₂×D₂₉₂	—	2	1	no	—
73	C₂×D₂₉₂	—	2	1	no	—
74	C₂×D₂₉₂	—	2	1	no	—
75	C₂×D₂₉₂	C₂²⋊C₄	1	2	yes	—
76	C₂×D₂₉₂	SD₁₆	1	2	yes	—
77	C₂×D₂₉₂	Q₁₆	1	2	yes	—
78	C₂²×Dic₇₃	—	2	1	no	—
79	C₂²×Dic₇₃	—	4	1	no	—
80	C₂×C₄×D₇₃	—	2	2	no	—
81	C₂×C₄×D₇₃	—	2	2	no	—
82	C₂×C₄×D₇₃	—	4	1	no	—
83	C₂×C₄×D₇₃	—	4	1	no	—
84	C₂×C₄×D₇₃	—	4	1	no	—
85	C₂×C₄×D₇₃	—	4	1	no	—
86	C₂×#10596831	—	2	1	no	—
87	C₂×#10596831	—	2	1	no	—
88	C₂×#10596831	—	2	1	no	—
89	C₂×#10596831	—	2	1	no	—
90	C₂×#10596831	—	2	1	no	—
91	C₂×#10596831	—	4	1	no	—
92	C₂×#10596831	—	4	1	no	—
93	C₂×#10596831	—	4	1	no	—
94	C₂×#10596831	SD₁₆	1	2	yes	—
95	C₈×D₇₃	—	4	8	no	—
96	C₄⋊Dic₇₃	—	2	1	no	—
97	C₄⋊Dic₇₃	—	2	2	no	—
98	C₄⋊Dic₇₃	—	2	2	no	—
99	C₄⋊Dic₇₃	—	4	1	no	—
100	C₄⋊Dic₇₃	—	4	1	no	—
101	C₄⋊Dic₇₃	C₂²⋊C₄	1	2	yes	—
102	#11924005	—	2	2	no	—
103	#11924005	—	2	2	no	—
104	C₂²×C₄×C₇₃	—	4	1	no	—
105	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
106	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
108	C₂×C₈×C₇₃	—	2	2	no	—
109	C₂×C₈×C₇₃	—	2	2	no	—
110	C₂×C₈×C₇₃	—	4	1	no	—
111	C₂×C₈×C₇₃	—	4	1	no	—
112	C₂×C₈×C₇₃	—	4	1	no	—
113	C₂×C₈×C₇₃	—	4	1	no	—
114	C₄⋊C₄×C₇₃	—	4	1	no	—
115	C₄⋊C₄×C₇₃	—	4	1	no	—
116	C₄⋊C₄×C₇₃	—	4	1	no	—
117	C₄⋊C₄×C₇₃	—	4	1	no	—
118	C₄⋊C₄×C₇₃	—	8	1	no	—
119	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
120	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₇₃	#41	1	1	yes	characteristic
123	C₂³×C₇₃	#121	1	1	yes	characteristic
124	C₂²×D₇₃	—	2	2	no	—
125	C₂²×D₇₃	—	2	2	no	—
126	C₂²×D₇₃	—	2	2	no	—
127	C₂²×D₇₃	—	4	1	no	—
128	C₂²×D₇₃	—	4	1	no	—
129	C₂²×D₇₃	—	4	1	no	—
130	C₂²×D₇₃	—	4	1	no	—
131	C₂×C₄×C₇₃	—	2	1	no	—
132	C₂×C₄×C₇₃	—	2	1	no	—
133	C₂×C₄×C₇₃	—	8	1	no	—
134	C₂×C₄×C₇₃	—	8	1	no	—
135	C₂×C₄×C₇₃	—	8	1	no	—
136	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
137	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
138	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
139	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
140	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
141	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
142	C₂×C₄×C₇₃	C₂×SD₁₆	1	1	yes	characteristic
143	C₂×C₄×C₇₃	C₂×SD₁₆	1	1	yes	characteristic
144	C₂×C₄×C₇₃	C₂×Q₁₆	1	1	yes	characteristic
145	C₂×C₄×C₇₃	#135	1	1	yes	characteristic
146	C₂×C₄×C₇₃	#135	1	1	yes	characteristic
147	C₂×C₄×C₇₃	#135	1	1	yes	characteristic
148	C₂×C₄×C₇₃	AGL(1,ℤ/8)	1	1	yes	characteristic
149	C₂×C₄×C₇₃	#137	1	1	yes	characteristic
150	C₂×Dic₇₃	—	2	2	no	—
151	C₂×Dic₇₃	—	4	1	no	—
152	C₂×Dic₇₃	—	4	1	no	—
153	C₂×Dic₇₃	—	4	2	no	—
154	C₂×Dic₇₃	—	8	1	no	—
155	C₂×Dic₇₃	—	8	1	no	—
156	D₂₉₂	—	2	2	no	—
157	D₂₉₂	—	2	2	no	—
158	D₂₉₂	—	2	2	no	—
159	D₂₉₂	#103	1	4	yes	—
160	C₄×D₇₃	—	4	2	no	—
161	C₄×D₇₃	—	4	2	no	—
162	C₄×D₇₃	—	4	2	no	—
163	C₄×D₇₃	—	4	2	no	—
164	Dic₁₄₆	—	8	2	no	—
165	Dic₁₄₆	—	8	2	no	—
166	C₈×C₇₃	—	4	2	no	—
167	C₈×C₇₃	—	4	2	no	—
168	#10596831	—	2	2	no	—
169	#10596831	—	4	1	no	—
170	#10596831	—	8	1	no	—
171	C₂²×C₇₃	#386	1	1	yes	characteristic
172	C₂²×C₇₃	#461	1	1	yes	characteristic
173	C₂²×C₇₃	#463	1	1	yes	characteristic
174	C₂²×C₇₃	#465	1	1	yes	characteristic
175	C₂²×C₇₃	#467	1	1	yes	characteristic
176	C₂²×C₇₃	#471	1	1	yes	characteristic
177	C₂²×C₇₃	#472	1	1	yes	characteristic
178	C₂×D₇₃	—	2	4	no	—
179	C₂×D₇₃	—	4	2	no	—
180	C₂×D₇₃	—	4	2	no	—
181	C₂×D₇₃	—	4	2	no	—
182	C₂×D₇₃	—	4	2	no	—
183	C₂×D₇₃	—	4	2	no	—
184	C₂×D₇₃	—	4	2	no	—
185	C₄×C₇₃	—	2	1	no	—
186	C₄×C₇₃	—	2	1	no	—
187	C₄×C₇₃	—	16	1	no	—
188	C₄×C₇₃	C₂×#103	1	1	yes	characteristic
189	C₄×C₇₃	#416	1	1	yes	characteristic
190	C₄×C₇₃	C₄×SD₁₆	1	1	yes	characteristic
191	C₄×C₇₃	#440	1	1	yes	characteristic
192	C₄×C₇₃	#450	1	1	yes	characteristic
193	C₄×C₇₃	#452	1	1	yes	characteristic
194	C₄×C₇₃	#465	1	1	yes	characteristic
195	C₄×C₇₃	#467	1	1	yes	characteristic
196	Dic₇₃	—	4	2	no	—
197	Dic₇₃	—	8	2	no	—
198	#9215	—	73	1	no	maximal, Sylow
199	C₂×C₇₃	#1671	1	1	yes	characteristic
200	C₂×C₇₃	#1675	1	1	yes	characteristic
201	C₂×C₇₃	#1677	1	1	yes	characteristic
202	C₂×C₇₃	#1683	1	1	yes	characteristic
203	C₂×C₇₃	#1877	1	1	yes	characteristic
204	C₂×C₇₃	#1892	1	1	yes	characteristic
205	C₂×C₇₃	#1907	1	1	yes	characteristic
206	D₇₃	—	4	4	no	—
207	C₂×#476	—	73	1	no	—
208	C₂×C₈×D₄	—	73	1	no	—
209	#1990	—	73	1	no	—
210	#1802	—	73	1	no	—
211	C₂×#333	—	73	1	no	—
212	#1296	D₇₃	1	1	yes	characteristic, complemented
213	#1277	—	73	1	no	—
214	C₇₃	#9215	1	1	yes	characteristic, complemented, Sylow
215	C₂³×C₈	—	146	1	no	—
216	C₂×C₄⋊Q₈	—	73	1	no	—
217	C₂×C₄×D₄	—	73	1	no	—
218	#476	—	73	4	no	—
219	#476	—	146	2	no	—
220	C₈×D₄	—	146	2	no	—
221	C₈×D₄	—	146	2	no	—
222	C₂×#106	—	146	1	no	—
223	C₂×C₄⋊C₈	—	73	1	no	—
224	C₂×C₄⋊C₈	C₂×D₇₃	1	1	yes	characteristic
225	C₂×C₄⋊C₈	C₂×D₇₃	1	1	yes	characteristic
226	C₂×#102	—	146	1	no	—
227	C₂×#102	—	146	1	no	—
228	C₂×C₂²⋊C₈	—	146	1	no	—
229	C₂×C₄×C₈	—	73	1	no	—
230	#384	C₂×D₇₃	1	1	yes	characteristic
231	#340	—	146	1	no	—
232	#340	—	146	1	no	—
233	#340	—	146	1	no	—
234	#333	—	146	2	no	—
235	C₂²×Q₈	—	146	1	no	—
236	C₂²×D₄	—	73	1	no	—
237	C₂³×C₄	—	146	1	no	—
238	C₂²×C₈	—	2	1	no	—
239	C₂²×C₈	—	2	1	no	—
240	C₂²×C₈	—	292	2	no	—
241	C₂²×C₈	—	292	2	no	—
242	C₂²×C₈	—	73	1	no	—
243	C₂²×C₈	—	73	1	no	—
244	C₂²×C₈	—	146	4	no	—
245	C₂²×C₈	—	146	1	no	—
246	C₄⋊Q₈	—	73	2	no	—
247	C₄⋊Q₈	—	146	1	no	—
248	C₄⋊Q₈	—	146	1	no	—
249	C₄⋊Q₈	—	146	1	no	—
250	C₄×D₄	—	73	2	no	—
251	C₄×D₄	—	73	2	no	—
252	C₄×D₄	—	146	1	no	—
253	C₄×D₄	—	146	1	no	—
254	C₂×C₄⋊C₄	—	2	1	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	—	2	1	no	—
257	C₂×C₄⋊C₄	—	73	1	no	—
258	C₂×C₄⋊C₄	—	146	1	no	—
259	C₂×C₄⋊C₄	—	146	1	no	—
260	C₂×C₂²⋊C₄	—	146	1	no	—
261	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
262	#106	—	146	4	no	—
263	C₄⋊C₈	—	2	1	no	—
264	C₄⋊C₈	—	2	1	no	—
265	C₄⋊C₈	—	146	1	no	—
266	C₄⋊C₈	—	146	1	no	—
267	C₄⋊C₈	C₄×D₇₃	1	2	yes	—
268	C₄⋊C₈	D₂₉₂	1	2	yes	—
269	#102	—	292	2	no	—
270	#102	—	146	4	no	—
271	C₂²⋊C₈	—	146	4	no	—
272	C₄×C₈	—	146	1	no	—
273	C₄×C₈	—	146	1	no	—
274	C₂⁴	—	146	1	no	—
275	C₂×Q₈	—	292	1	no	—
276	C₂×Q₈	—	584	1	no	—
277	C₂×Q₈	—	584	1	no	—
278	C₂×Q₈	—	146	2	no	—
279	C₂×D₄	—	73	2	no	—
280	C₂×D₄	—	73	2	no	—
281	C₂×D₄	—	73	2	no	—
282	C₂×D₄	—	146	1	no	—
283	C₂×D₄	—	146	1	no	—
284	C₂×D₄	—	146	1	no	—
285	C₂²×C₄	—	4	1	no	—
286	C₂²×C₄	—	292	1	no	—
287	C₂²×C₄	—	292	1	no	—
288	C₂²×C₄	—	292	1	no	—
289	C₂²×C₄	—	292	1	no	—
290	C₂²×C₄	—	292	1	no	—
291	C₂²×C₄	—	146	1	no	—
292	C₂²×C₄	—	146	2	no	—
293	C₂²×C₄	—	146	2	no	—
294	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
295	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
296	C₂²×C₄	#11924028	1	1	yes	characteristic
297	C₂×C₈	—	2	2	no	—
298	C₂×C₈	—	2	2	no	—
299	C₂×C₈	—	4	1	no	—
300	C₂×C₈	—	4	1	no	—
301	C₂×C₈	—	4	1	no	—
302	C₂×C₈	—	4	1	no	—
303	C₂×C₈	—	292	8	no	—
304	C₂×C₈	—	292	1	no	—
305	C₂×C₈	—	292	1	no	—
306	C₂×C₈	—	292	1	no	—
307	C₂×C₈	—	73	2	no	—
308	C₂×C₈	—	146	1	no	—
309	C₂×C₈	—	146	1	no	—
310	C₂×C₈	—	146	1	no	—
311	C₂×C₈	—	146	1	no	—
312	C₂×C₈	—	146	1	no	—
313	C₄⋊C₄	—	4	1	no	—
314	C₄⋊C₄	—	4	1	no	—
315	C₄⋊C₄	—	4	1	no	—
316	C₄⋊C₄	—	4	1	no	—
317	C₄⋊C₄	—	8	1	no	—
318	C₄⋊C₄	—	292	1	no	—
319	C₄⋊C₄	—	292	1	no	—
320	C₄⋊C₄	—	73	2	no	—
321	C₄⋊C₄	—	146	2	no	—
322	C₄⋊C₄	—	146	2	no	—
323	C₄⋊C₄	—	146	1	no	—
324	C₂²⋊C₄	—	146	2	no	—
325	C₂²⋊C₄	—	146	2	no	—
326	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
327	C₄²	D₄×D₇₃	1	1	yes	characteristic
328	C₄²	C₂×D₂₉₂	1	1	yes	characteristic
329	C₄²	#11924029	1	1	yes	characteristic
330	C₂³	—	292	1	no	—
331	C₂³	—	292	1	no	—
332	C₂³	—	292	1	no	—
333	C₂³	—	292	1	no	—
334	C₂³	—	146	2	no	—
335	C₂³	—	146	2	no	—
336	C₂³	—	146	2	no	—
337	C₂³	#14556564	1	1	yes	characteristic
338	Q₈	—	584	2	no	—
339	Q₈	—	584	2	no	—
340	D₄	—	73	4	no	—
341	D₄	—	146	2	no	—
342	D₄	—	146	2	no	—
343	D₄	—	146	2	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	8	1	no	—
347	C₂×C₄	—	8	1	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	292	1	no	—
350	C₂×C₄	—	292	1	no	—
351	C₂×C₄	—	292	2	no	—
352	C₂×C₄	—	292	2	no	—
353	C₂×C₄	—	292	2	no	—
354	C₂×C₄	—	292	2	no	—
355	C₂×C₄	—	292	2	no	—
356	C₂×C₄	—	584	1	no	—
357	C₂×C₄	—	584	1	no	—
358	C₂×C₄	—	146	2	no	—
359	C₂×C₄	C₂²⋊C₄×D₇₃	1	1	yes	characteristic
360	C₂×C₄	#14556553	1	1	yes	characteristic
361	C₂×C₄	C₄×D₂₉₂	1	1	yes	characteristic
362	C₂×C₄	#14556561	1	1	yes	characteristic
363	C₂×C₄	#14556566	1	1	yes	characteristic
364	C₂×C₄	#14556576	1	1	yes	characteristic
365	C₂×C₄	SD₁₆×D₇₃	1	1	yes	characteristic
366	C₂×C₄	SD₁₆×D₇₃	1	1	yes	characteristic
367	C₂×C₄	Q₁₆×D₇₃	1	1	yes	characteristic
368	C₂×C₄	#14556610	1	1	yes	characteristic
369	C₂×C₄	#14556612	1	1	yes	characteristic
370	C₂×C₄	#14556612	1	1	yes	characteristic
371	C₂×C₄	#14556615	1	1	yes	characteristic
372	C₂×C₄	#14556623	1	1	yes	characteristic
373	C₈	—	4	2	no	—
374	C₈	—	4	2	no	—
375	C₈	—	292	1	no	—
376	C₈	—	584	1	no	—
377	C₈	—	146	2	no	—
378	C₂²	—	292	2	no	—
379	C₂²	—	292	2	no	—
380	C₂²	—	292	2	no	—
381	C₂²	—	292	2	no	—
382	C₂²	—	292	2	no	—
383	C₂²	—	292	2	no	—
384	C₂²	—	146	4	no	—
385	C₂²	#17988465	1	1	yes	characteristic
386	C₂²	#17988791	1	1	yes	characteristic
387	C₂²	#17988801	1	1	yes	characteristic
388	C₂²	#17988815	1	1	yes	characteristic
389	C₂²	#17988827	1	1	yes	characteristic
390	C₂²	#17988853	1	1	yes	characteristic
391	C₂²	#17988856	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	16	1	no	—
395	C₄	—	292	2	no	—
396	C₄	—	584	2	no	—
397	C₄	#103×D₇₃	1	1	yes	characteristic
398	C₄	#17988580	1	1	yes	characteristic
399	C₄	#17988674	1	1	yes	characteristic
400	C₄	#17988686	1	1	yes	characteristic
401	C₄	#17988739	1	1	yes	characteristic
402	C₄	#17988752	1	1	yes	characteristic
403	C₄	#17988817	1	1	yes	characteristic
404	C₄	#17988829	1	1	yes	characteristic
405	C₂	—	292	4	no	—
406	C₂	#22609305	1	1	yes	characteristic
407	C₂	#22609329	1	1	yes	characteristic
408	C₂	#22609339	1	1	yes	characteristic
409	C₂	#22609381	1	1	yes	characteristic
410	C₂	#22610266	1	1	yes	characteristic
411	C₂	#22610353	1	1	yes	characteristic
412	C₂	#22610440	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#14556564
commutator	C₄²×C₇₃	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₇₃
Fitting	C₇₃×#1296	C₂
socle	C₂³×C₇₃	#121
prime radical	C₂²×D₂₉₂	D₄
cosocle	C₂×C₄²×C₇₃	C₂³
hypercenter	#1296	D₇₃
hypocenter	C₇₃	#9215
LCS	G ▷ C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1296

Complements

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

N	H ≅ G/N	type
3. #22610891	C₂	semidirect
5. C₂×#17988335	C₂	semidirect
6. #22607765	C₂	semidirect
7. C₇₃×#1296	C₂	semidirect
12. #17988878	C₄	semidirect
212. #1296	D₇₃	semidirect
214. C₇₃	#9215	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17988878	2
C₂×#17988652	2
#22610891	2
#22609928	2
C₂×#17988335	2
#22607765	2
C₇₃×#1296	2
#9215	73