Subgroups — #33084565

Order 18688.

1014 conjugacy classes of subgroups.

The subgroup lattice has 406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17988708	C₂	1	1	yes	maximal, characteristic
2	C₂×#17988703	C₂	1	1	yes	maximal, characteristic
3	#22618733	C₂	1	1	yes	maximal, characteristic
4	#22618360	C₂	1	2	yes	maximal, complemented
5	#22609818	C₂	1	1	yes	maximal, characteristic, complemented
6	#22609813	C₂	1	1	yes	maximal, characteristic, complemented
7	#22609774	C₂	1	2	yes	maximal, complemented
8	#22609767	C₂	1	2	yes	maximal, complemented
9	C₄×#14556517	C₂	1	2	yes	maximal, complemented
10	#97×Dic₇₃	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#1778	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14556613	C₂²	1	1	yes	characteristic
13	C₂×#14556599	C₂²	1	2	yes	—
14	C₂×#14556599	C₂²	1	2	yes	—
15	C₄×#11924028	C₂²	1	2	yes	—
16	#17988708	C₄	1	8	yes	complemented
17	#17988703	C₄	1	8	yes	complemented
18	#17988700	C₄	1	2	yes	complemented
19	#17988695	C₄	1	2	yes	complemented
20	#17988689	C₄	1	4	yes	complemented
21	#17988625	C₂²	1	1	yes	characteristic
22	C₂×#14556517	C₂²	1	2	yes	—
23	C₂×#14556517	C₂²	1	2	yes	—
24	#17988584	C₂²	1	2	yes	—
25	#17988545	C₂²	1	2	yes	—
26	#17988545	C₂²	1	2	yes	—
27	#17988541	—	2	2	no	—
28	#17988541	—	2	2	no	—
29	#17988539	—	2	2	no	—
30	C₂×#14556502	C₂²	1	1	yes	characteristic
31	C₂×#14556501	C₂²	1	1	yes	characteristic
32	C₂×#14556501	C₂²	1	1	yes	characteristic
33	#97×D₇₃	—	2	2	no	—
34	C₂×C₈×Dic₇₃	C₂²	1	1	yes	characteristic
35	C₂×C₈×Dic₇₃	C₂²	1	1	yes	characteristic
36	C₄²×Dic₇₃	C₂²	1	1	yes	characteristic
37	#17988348	C₂²	1	2	yes	—
38	#17988348	C₂²	1	2	yes	—
39	C₂×#108×C₇₃	C₂²	1	1	yes	characteristic
40	C₂×#108×C₇₃	C₂²	1	1	yes	characteristic
41	C₄×M₁₆×C₇₃	C₂²	1	2	yes	—
42	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic
43	#341×C₇₃	C₂²	1	2	yes	—
44	C₂×#11924028	C₂³	1	2	yes	—
45	#14556613	C₂×C₄	1	4	yes	—
46	#14556613	C₂×C₄	1	4	yes	—
47	C₂×Dic₂₉₂	C₂×C₄	1	1	yes	characteristic
48	C₂×#11924017	C₂×C₄	1	2	yes	—
49	C₂×D₅₈₄	C₂×C₄	1	1	yes	characteristic
50	#14556599	—	2	4	no	—
51	#14556599	—	2	4	no	—
52	#14556599	C₂×C₄	1	8	yes	complemented
53	#14556599	C₂×C₄	1	8	yes	complemented
54	C₂×#11924011	—	2	2	no	—
55	C₂×#11924011	—	2	2	no	—
56	C₂²×#10596831	C₂³	1	1	yes	characteristic
57	C₂²×#10596831	C₂³	1	1	yes	characteristic
58	C₂×C₈×D₇₃	—	2	2	no	—
59	C₂×C₈×D₇₃	—	2	2	no	—
60	C₄×Dic₁₄₆	C₂×C₄	1	4	yes	—
61	C₄×D₂₉₂	C₂×C₄	1	4	yes	—
62	C₄×C₂²⋊D₇₃	—	2	4	no	—
63	#14556550	C₂³	1	2	yes	—
64	#14556548	—	2	2	no	—
65	C₂×C₄×Dic₇₃	—	2	2	no	—
66	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
67	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
68	C₄²×D₇₃	—	2	2	no	—
69	#14556525	C₂×C₄	1	2	yes	—
70	#14556523	C₂×C₄	1	2	yes	—
71	#14556517	C₂×C₄	1	8	yes	complemented
72	#14556517	C₂×C₄	1	8	yes	complemented
73	#14556516	C₂×C₄	1	4	yes	—
74	#14556513	C₂×C₄	1	4	yes	—
75	#14556502	D₄	1	2	yes	—
76	#14556502	D₄	1	2	yes	—
77	#14556501	—	2	2	no	—
78	#14556501	—	2	2	no	—
79	#14556501	—	2	2	no	—
80	#14556501	C₂×C₄	1	4	yes	complemented
81	C₈×Dic₇₃	—	2	2	no	—
82	C₈×Dic₇₃	—	2	2	no	—
83	C₈×Dic₇₃	—	2	2	no	—
84	C₈×Dic₇₃	C₂×C₄	1	4	yes	complemented
85	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
86	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
87	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
88	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
89	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
90	#108×C₇₃	C₂×C₄	1	4	yes	complemented
91	#108×C₇₃	C₂×C₄	1	4	yes	complemented
92	#97×C₇₃	—	2	2	no	—
93	#97×C₇₃	C₂×C₄	1	2	yes	—
94	#97×C₇₃	C₂×C₄	1	2	yes	—
95	C₄×C₈×C₇₃	—	2	2	no	—
96	#11924028	—	2	2	no	—
97	#11924028	—	2	2	no	—
98	#11924028	C₂²×C₄	1	4	yes	—
99	#11924028	C₂²×C₄	1	4	yes	—
100	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
101	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
102	C₂×C₂²⋊D₇₃	—	2	2	no	—
103	C₂²×Dic₇₃	—	2	1	no	—
104	C₂²×Dic₇₃	—	2	1	no	—
105	C₂×C₄×D₇₃	—	2	2	no	—
106	C₂×C₄×D₇₃	—	2	4	no	—
107	Dic₂₉₂	C₄²	1	4	yes	complemented
108	#11924017	C₄²	1	8	yes	complemented
109	D₅₈₄	C₄²	1	4	yes	complemented
110	#11924011	—	2	8	no	—
111	#11924011	—	2	8	no	—
112	C₂×#10596831	C₂²×C₄	1	2	yes	—
113	C₂×#10596831	C₂²×C₄	1	2	yes	—
114	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
115	C₂×#10596831	C₂×D₄	1	2	yes	—
116	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
117	C₂×#10596831	#41	1	2	yes	—
118	C₂×#10596831	#41	1	2	yes	—
119	C₈×D₇₃	—	2	8	no	—
120	C₈×D₇₃	—	2	8	no	—
121	C₄⋊Dic₇₃	C₂²×C₄	1	4	yes	—
122	#11924007	—	2	4	no	—
123	C₂²⋊Dic₇₃	—	2	2	no	—
124	#11924005	—	2	4	no	—
125	C₄×Dic₇₃	—	2	4	no	—
126	C₄×Dic₇₃	—	2	2	no	—
127	C₄×Dic₇₃	—	2	1	no	—
128	C₄×Dic₇₃	—	2	1	no	—
129	C₄×Dic₇₃	—	4	4	no	—
130	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
131	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
132	C₂²×C₄×C₇₃	#41	1	2	yes	—
133	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
134	M₁₆×C₇₃	—	2	2	no	—
135	M₁₆×C₇₃	—	2	2	no	—
136	M₁₆×C₇₃	C₂²×C₄	1	4	yes	—
137	M₁₆×C₇₃	C₂²×C₄	1	4	yes	—
138	C₂×C₈×C₇₃	—	2	2	no	—
139	C₂×C₈×C₇₃	—	2	2	no	—
140	C₂×C₈×C₇₃	—	2	1	no	—
141	C₂×C₈×C₇₃	—	2	1	no	—
142	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
143	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
144	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
145	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
146	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
147	C₄²×C₇₃	C₂²×C₄	1	2	yes	—
148	C₄²×C₇₃	C₂×D₄	1	2	yes	—
149	C₂³×C₇₃	C₂×#41	1	1	yes	characteristic
150	C₂²×D₇₃	—	2	2	no	—
151	C₂×C₄×C₇₃	—	4	2	no	—
152	C₂×C₄×C₇₃	C₄×D₄	1	4	yes	—
153	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
154	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
155	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
156	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
157	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
158	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
159	C₂²⋊D₇₃	—	2	4	no	—
160	C₂²⋊D₇₃	—	2	4	no	—
161	C₂×Dic₇₃	—	2	4	no	—
162	C₂×Dic₇₃	—	2	2	no	—
163	C₂×Dic₇₃	—	2	2	no	—
164	C₂×Dic₇₃	—	2	4	no	—
165	C₂×Dic₇₃	—	2	2	no	—
166	C₂×Dic₇₃	—	4	2	no	—
167	D₂₉₂	—	2	2	no	—
168	D₂₉₂	C₂×C₄²	1	4	yes	—
169	C₄×D₇₃	—	2	4	no	—
170	C₄×D₇₃	—	2	4	no	—
171	C₄×D₇₃	—	8	4	no	—
172	Dic₁₄₆	—	2	2	no	—
173	Dic₁₄₆	C₂×C₄²	1	4	yes	—
174	C₈×C₇₃	—	2	4	no	—
175	C₈×C₇₃	—	2	4	no	—
176	C₈×C₇₃	—	2	2	no	—
177	C₈×C₇₃	C₂×C₄²	1	2	yes	—
178	C₈×C₇₃	C₂×C₄²	1	2	yes	—
179	#10596831	C₄×D₄	1	2	yes	—
180	#10596831	C₄×D₄	1	4	yes	—
181	#10596831	C₄×D₄	1	2	yes	—
182	C₂²×C₇₃	—	2	2	no	—
183	C₂²×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
184	C₂²×C₇₃	C₄×#41	1	1	yes	characteristic
185	C₂²×C₇₃	C₄×#41	1	1	yes	characteristic
186	C₂×D₇₃	—	2	4	no	—
187	C₂×D₇₃	—	4	4	no	—
188	C₄×C₇₃	—	2	4	no	—
189	C₄×C₇₃	C₂²×C₄²	1	1	yes	characteristic
190	C₄×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
191	C₄×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
192	C₄×C₇₃	C₄×#41	1	1	yes	characteristic
193	Dic₇₃	—	2	4	no	—
194	Dic₇₃	—	2	4	no	—
195	Dic₇₃	—	4	2	no	—
196	Dic₇₃	—	4	4	no	—
197	#20512	—	73	1	no	maximal, Sylow
198	C₂×C₇₃	—	2	1	no	—
199	C₂×C₇₃	—	2	1	no	—
200	C₂×C₇₃	C₄²×D₄	1	1	yes	characteristic
201	C₂×C₇₃	#2956	1	2	yes	—
202	D₇₃	—	4	4	no	—
203	C₂×#444	—	73	1	no	—
204	C₂×#443	—	73	1	no	—
205	#2943	—	73	1	no	—
206	#2875	—	73	2	no	—
207	#1778	D₇₃	1	1	yes	characteristic, complemented
208	#1773	—	73	1	no	—
209	#1772	—	73	1	no	—
210	#1765	—	73	2	no	—
211	#1764	—	73	2	no	—
212	C₄×#104	—	73	2	no	—
213	C₄×#97	—	73	1	no	—
214	C₇₃	#20512	1	1	yes	characteristic, complemented, Sylow
215	C₂×#135	—	73	1	no	—
216	C₂×#131	—	73	2	no	—
217	C₂×#131	—	73	2	no	—
218	C₄×#41	—	73	2	no	—
219	#444	—	73	8	no	—
220	#443	—	73	8	no	—
221	#442	—	73	2	no	—
222	#441	—	73	2	no	—
223	#440	—	73	4	no	—
224	C₂×#108	C₂×D₇₃	1	1	yes	characteristic
225	C₂×#108	C₂×D₇₃	1	1	yes	characteristic
226	#427	—	73	1	no	—
227	C₂×#104	—	73	2	no	—
228	C₂×#104	—	73	2	no	—
229	#416	—	73	2	no	—
230	#405	—	73	2	no	—
231	#405	—	73	2	no	—
232	#405	—	146	2	no	—
233	#405	—	146	2	no	—
234	C₄×M₁₆	—	146	2	no	—
235	C₄×M₁₆	C₂×D₇₃	1	2	yes	—
236	C₂×#97	—	73	1	no	—
237	C₂×#97	—	73	1	no	—
238	C₂×#97	—	73	1	no	—
239	C₂×#97	—	146	2	no	—
240	C₂×#97	C₂×D₇₃	1	1	yes	characteristic
241	C₂×C₄×C₈	—	73	1	no	—
242	C₂×C₄×C₈	—	73	1	no	—
243	C₄³	—	73	1	no	—
244	#341	C₂×D₇₃	1	2	yes	—
245	#339	—	73	2	no	—
246	#339	—	73	2	no	—
247	C₂×#41	—	73	2	no	—
248	#135	—	73	4	no	—
249	#135	—	73	4	no	—
250	C₂×Q₁₆	—	73	1	no	—
251	C₂×SD₁₆	—	73	2	no	—
252	C₂×D₈	—	73	1	no	—
253	#131	—	73	8	no	—
254	#131	—	73	8	no	—
255	#131	—	146	4	no	—
256	#131	—	146	4	no	—
257	C₂×M₁₆	—	146	2	no	—
258	C₂×M₁₆	—	146	2	no	—
259	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
260	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
261	C₂²×C₈	—	73	1	no	—
262	C₂²×C₈	—	73	1	no	—
263	C₂²×C₈	—	146	2	no	—
264	C₂²×C₈	—	146	2	no	—
265	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
266	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
267	C₄×Q₈	—	73	4	no	—
268	C₄×D₄	—	73	4	no	—
269	C₄×D₄	—	146	4	no	—
270	#117	—	73	2	no	—
271	#117	—	146	2	no	—
272	C₂×C₄²	—	73	1	no	—
273	C₂×C₄²	—	73	1	no	—
274	C₂×C₄²	—	146	2	no	—
275	C₂×C₄²	—	146	2	no	—
276	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
277	#108	C₄×D₇₃	1	4	yes	complemented
278	#108	C₄×D₇₃	1	4	yes	complemented
279	#107	—	73	2	no	—
280	#106	—	73	2	no	—
281	#104	—	73	8	no	—
282	#104	—	73	8	no	—
283	#103	—	73	4	no	—
284	#102	—	73	4	no	—
285	#97	—	2	2	no	—
286	#97	—	73	4	no	—
287	#97	—	73	2	no	—
288	#97	—	73	2	no	—
289	#97	—	146	2	no	—
290	#97	—	146	2	no	—
291	#97	—	146	2	no	—
292	#97	C₄×D₇₃	1	2	yes	—
293	#97	C₄×D₇₃	1	2	yes	—
294	C₄×C₈	—	2	2	no	—
295	C₄×C₈	—	73	4	no	—
296	C₄×C₈	—	146	2	no	—
297	C₄×C₈	—	146	2	no	—
298	C₄×C₈	—	146	2	no	—
299	#41	—	73	4	no	—
300	#41	—	73	4	no	—
301	#41	—	146	2	no	—
302	#41	—	146	2	no	—
303	C₂×Q₈	—	73	2	no	—
304	C₂×D₄	—	73	2	no	—
305	C₂×D₄	—	146	2	no	—
306	C₂²×C₄	—	146	1	no	—
307	C₂²×C₄	—	146	4	no	—
308	C₂²×C₄	—	146	1	no	—
309	C₂²×C₄	—	146	2	no	—
310	C₂²×C₄	#11924029	1	2	yes	—
311	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
312	Q₁₆	—	73	4	no	—
313	SD₁₆	—	73	8	no	—
314	D₈	—	73	4	no	—
315	M₁₆	—	2	2	no	—
316	M₁₆	—	2	2	no	—
317	M₁₆	—	146	8	no	—
318	M₁₆	—	146	8	no	—
319	M₁₆	C₂×C₄×D₇₃	1	4	yes	—
320	M₁₆	C₂×C₄×D₇₃	1	4	yes	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	—	2	2	no	—
323	C₂×C₈	—	2	1	no	—
324	C₂×C₈	—	2	1	no	—
325	C₂×C₈	—	73	2	no	—
326	C₂×C₈	—	73	2	no	—
327	C₂×C₈	—	73	1	no	—
328	C₂×C₈	—	73	2	no	—
329	C₂×C₈	—	73	1	no	—
330	C₂×C₈	—	73	2	no	—
331	C₂×C₈	—	73	2	no	—
332	C₂×C₈	—	146	8	no	—
333	C₂×C₈	—	146	8	no	—
334	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
335	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
336	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
337	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
338	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
339	C₄⋊C₄	—	73	4	no	—
340	C₄⋊C₄	—	146	4	no	—
341	C₂²⋊C₄	—	146	2	no	—
342	C₂²⋊C₄	—	146	4	no	—
343	C₄²	—	292	4	no	—
344	C₄²	—	73	2	no	—
345	C₄²	—	73	2	no	—
346	C₄²	—	146	4	no	—
347	C₄²	—	146	2	no	—
348	C₄²	—	146	1	no	—
349	C₄²	—	146	1	no	—
350	C₄²	C₂×C₄×D₇₃	1	2	yes	—
351	C₄²	D₄×D₇₃	1	2	yes	—
352	C₂³	—	146	2	no	—
353	C₂³	C₂×#11924029	1	1	yes	characteristic
354	Q₈	—	73	4	no	—
355	Q₈	—	146	2	no	—
356	D₄	—	73	4	no	—
357	D₄	—	146	4	no	—
358	D₄	—	146	4	no	—
359	D₄	—	146	2	no	—
360	C₂×C₄	—	4	2	no	—
361	C₂×C₄	—	292	2	no	—
362	C₂×C₄	—	584	4	no	—
363	C₂×C₄	—	146	4	no	—
364	C₂×C₄	—	146	2	no	—
365	C₂×C₄	—	146	4	no	—
366	C₂×C₄	—	146	2	no	—
367	C₂×C₄	—	146	2	no	—
368	C₂×C₄	—	146	4	no	—
369	C₂×C₄	—	146	4	no	—
370	C₂×C₄	#14556553	1	4	yes	—
371	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
372	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
374	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
375	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
376	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
377	C₈	—	2	4	no	—
378	C₈	—	2	4	no	—
379	C₈	—	2	2	no	—
380	C₈	—	73	2	no	—
381	C₈	—	73	4	no	—
382	C₈	—	73	2	no	—
383	C₈	C₄²×D₇₃	1	2	yes	—
384	C₈	C₄²×D₇₃	1	2	yes	—
385	C₂²	—	2	2	no	—
386	C₂²	—	292	4	no	—
387	C₂²	—	146	4	no	—
388	C₂²	C₂×#14556553	1	1	yes	characteristic
389	C₂²	C₄×#11924029	1	1	yes	characteristic
390	C₂²	C₄×#11924029	1	1	yes	characteristic
391	C₄	—	2	4	no	—
392	C₄	—	292	2	no	—
393	C₄	—	292	4	no	—
394	C₄	—	146	4	no	—
395	C₄	—	146	4	no	—
396	C₄	C₂×C₄²×D₇₃	1	1	yes	characteristic
397	C₄	C₄×D₄×D₇₃	1	1	yes	characteristic
398	C₄	C₄×D₄×D₇₃	1	1	yes	characteristic
399	C₄	#17989055	1	1	yes	characteristic
400	C₂	—	2	1	no	—
401	C₂	—	2	1	no	—
402	C₂	—	292	4	no	—
403	C₂	C₄×#14556553	1	1	yes	characteristic
404	C₂	#22618840	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇₃
commutator	C₄×C₇₃	C₂²×C₄²
Frattini	C₂²×C₄	C₂³×D₇₃
Fitting	C₇₃×#1778	C₂
socle	C₂²×C₇₃	C₂×C₄×D₄
prime radical	C₂×#14556613	C₂²
cosocle	C₂²×C₄×C₇₃	C₂⁴
hypercenter	#1778	D₇₃
hypocenter	C₇₃	#20512
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1778

Complements

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

N	H ≅ G/N	type
4. #22618360	C₂	semidirect
5. #22609818	C₂	semidirect
6. #22609813	C₂	semidirect
7. #22609774	C₂	semidirect
8. #22609767	C₂	semidirect
9. C₄×#14556517	C₂	semidirect
10. #97×Dic₇₃	C₂	semidirect
11. C₇₃×#1778	C₂	semidirect
16. #17988708	C₄	semidirect
17. #17988703	C₄	semidirect
18. #17988700	C₄	semidirect
19. #17988695	C₄	semidirect
20. #17988689	C₄	semidirect
52. #14556599	C₂×C₄	semidirect
53. #14556599	C₂×C₄	semidirect
71. #14556517	C₂×C₄	semidirect
72. #14556517	C₂×C₄	semidirect
80. #14556501	C₂×C₄	semidirect
84. C₈×Dic₇₃	C₂×C₄	semidirect
90. #108×C₇₃	C₂×C₄	semidirect
91. #108×C₇₃	C₂×C₄	semidirect
107. Dic₂₉₂	C₄²	semidirect
108. #11924017	C₄²	semidirect
109. D₅₈₄	C₄²	semidirect
207. #1778	D₇₃	semidirect
214. C₇₃	#20512	semidirect
277. #108	C₄×D₇₃	semidirect
278. #108	C₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17988708	2
C₂×#17988703	2
#22618733	2
#22618360	2
#22609818	2
#22609813	2
#22609774	2
#22609767	2
C₄×#14556517	2
#97×Dic₇₃	2
C₇₃×#1778	2
#20512	73