Subgroups — #34030308

Order 18688.

668 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22626707	C₂	1	1	yes	maximal, characteristic, complemented
2	#22626690	C₂	1	1	yes	maximal, characteristic, complemented
3	#22626341	C₂	1	4	yes	maximal, complemented
4	#22626340	C₂	1	4	yes	maximal, complemented
5	#22626278	C₂	1	1	yes	maximal, characteristic, complemented
6	D₇₃⋊#361	C₂	1	1	yes	maximal, characteristic, complemented
7	#22626252	C₂	1	1	yes	maximal, characteristic, complemented
8	#22626150	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#17989021	C₂	1	1	yes	maximal, characteristic
10	#17989665	—	2	1	no	—
11	#17989654	—	2	1	no	—
12	#17989643	C₂²	1	1	yes	characteristic
13	#17989634	C₂²	1	4	yes	complemented
14	#17989629	—	2	2	no	—
15	#17989628	C₂²	1	4	yes	complemented
16	D₈×#64408	—	2	2	no	—
17	D₇₃⋊#108	C₂²	1	1	yes	characteristic
18	#17989597	C₂²	1	1	yes	characteristic
19	#17989585	—	2	1	no	—
20	#17989579	—	2	1	no	—
21	#17989550	C₂²	1	1	yes	characteristic
22	#17989512	C₂²	1	2	yes	complemented
23	#17989511	C₂²	1	2	yes	complemented
24	#17989505	C₂²	1	4	yes	complemented
25	#17989503	C₂²	1	4	yes	complemented
26	#17989478	C₂²	1	2	yes	complemented
27	#17989477	C₂²	1	2	yes	complemented
28	C₂×#14556610	C₂²	1	1	yes	characteristic
29	C₂×D₈×D₇₃	C₂²	1	1	yes	characteristic
30	#17989021	C₄	1	2	yes	complemented
31	#17989021	C₄	1	2	yes	complemented
32	#17989021	C₂²	1	2	yes	—
33	#17989021	C₂²	1	2	yes	—
34	C₂×#14556536	C₄	1	1	yes	characteristic, complemented
35	C₂×#14556535	C₄	1	1	yes	characteristic, complemented
36	C₂×#14556532	C₄	1	1	yes	characteristic, complemented
37	C₂×#14556530	C₂²	1	1	yes	characteristic
38	C₂×D₁₆×C₇₃	C₄	1	1	yes	characteristic, complemented
39	#14556678	—	2	4	no	—
40	#14556678	—	4	2	no	—
41	D₇₃⋊M₁₆	—	2	1	no	—
42	D₇₃⋊M₁₆	D₄	1	1	yes	characteristic
43	C₂×#11924037	—	4	2	no	—
44	D₄×#64408	—	2	4	no	—
45	D₄×#64408	—	4	2	no	—
46	#14556670	—	2	1	no	—
47	#14556670	D₄	1	1	yes	characteristic
48	C₂×C₂²⋊#64408	—	4	2	no	—
49	#14556666	C₂³	1	2	yes	—
50	#14556665	—	2	1	no	—
51	#14556664	—	2	1	no	—
52	#14556662	—	2	1	no	—
53	#14556661	C₂³	1	2	yes	—
54	#14556660	—	2	1	no	—
55	#14556659	C₂³	1	2	yes	—
56	#14556655	—	2	4	no	—
57	#14556653	—	2	4	no	—
58	#14556645	C₂³	1	2	yes	—
59	C₈×#64408	D₄	1	2	yes	—
60	C₂×#11924027	—	2	1	no	—
61	C₂×D₄×D₇₃	—	2	1	no	—
62	#14556610	—	2	1	no	—
63	#14556610	—	2	1	no	—
64	#14556610	C₂×C₄	1	2	yes	complemented
65	#14556610	C₂³	1	2	yes	—
66	C₂×Dic₂₉₂	C₂×C₄	1	1	yes	characteristic, complemented
67	C₂×#11924016	—	2	1	no	—
68	C₂×D₅₈₄	C₂×C₄	1	1	yes	characteristic
69	C₂×#11924013	—	2	1	no	—
70	D₈×D₇₃	—	2	1	no	—
71	D₈×D₇₃	—	2	1	no	—
72	D₈×D₇₃	C₂×C₄	1	2	yes	—
73	D₈×D₇₃	C₂³	1	2	yes	—
74	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
75	#14556536	C₂×C₄	1	2	yes	complemented
76	#14556536	C₂×C₄	1	2	yes	complemented
77	#14556535	C₂×C₄	1	2	yes	complemented
78	#14556535	C₂×C₄	1	2	yes	complemented
79	#14556532	C₂×C₄	1	2	yes	complemented
80	#14556532	C₂×C₄	1	2	yes	complemented
81	#14556530	C₂×C₄	1	1	yes	characteristic, complemented
82	#14556530	C₂×C₄	1	1	yes	characteristic, complemented
83	#14556530	C₂³	1	1	yes	characteristic
84	#14556530	C₂³	1	1	yes	characteristic
85	C₂×#11924003	C₂×C₄	1	1	yes	characteristic, complemented
86	C₂×D₈×C₇₃	C₂×C₄	1	1	yes	characteristic
87	C₂×D₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
88	D₁₆×C₇₃	C₂×C₄	1	2	yes	complemented
89	D₁₆×C₇₃	C₂×C₄	1	2	yes	complemented
90	C₂×C₁₆×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
91	C₂²×#64408	—	4	4	no	—
92	#11924038	—	2	1	no	—
93	#11924038	—	2	2	no	—
94	#11924037	—	2	1	no	—
95	#11924037	—	4	4	no	—
96	#11924037	—	4	1	no	—
97	#11924036	—	4	1	no	—
98	#11924036	C₂×D₄	1	2	yes	—
99	C₂×#10596833	—	4	4	no	—
100	C₄⋊#64408	—	2	1	no	—
101	C₄⋊#64408	—	2	2	no	—
102	C₂²⋊#64408	—	2	1	no	—
103	C₂²⋊#64408	—	4	4	no	—
104	C₂²⋊#64408	—	4	1	no	—
105	C₄×#64408	—	4	1	no	—
106	C₄×#64408	C₂×D₄	1	2	yes	—
107	#11924031	—	2	2	no	—
108	C₂³×D₇₃	—	4	1	no	—
109	#11924027	—	2	2	no	—
110	#11924027	—	2	2	no	—
111	#11924027	—	4	1	no	—
112	#11924027	—	4	1	no	—
113	C₂×Dic₁₄₆	—	2	1	no	—
114	C₂×D₂₉₂	—	2	1	no	—
115	C₂×C₂²⋊D₇₃	—	4	1	no	—
116	C₂×C₂²⋊D₇₃	—	4	1	no	—
117	D₄×D₇₃	—	2	2	no	—
118	D₄×D₇₃	—	2	2	no	—
119	D₄×D₇₃	—	4	1	no	—
120	D₄×D₇₃	—	4	1	no	—
121	C₂²×Dic₇₃	—	4	1	no	—
122	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
123	Dic₂₉₂	—	2	1	no	—
124	Dic₂₉₂	C₂²×C₄	1	2	yes	—
125	#11924016	—	2	2	no	—
126	#11924016	—	2	2	no	—
127	D₅₈₄	—	2	1	no	—
128	D₅₈₄	C₂²×C₄	1	2	yes	—
129	#11924013	—	2	2	no	—
130	#11924013	—	2	2	no	—
131	C₂×#10596831	#41	1	1	yes	characteristic
132	C₈×D₇₃	C₂²×C₄	1	1	yes	characteristic
133	C₈×D₇₃	C₂×D₄	1	1	yes	characteristic
134	C₈×D₇₃	#41	1	1	yes	characteristic
135	C₈×D₇₃	C₂⁴	1	1	yes	characteristic
136	#11924003	C₂²×C₄	1	1	yes	characteristic
137	#11924003	C₂²×C₄	1	1	yes	characteristic
138	C₂×D₄×C₇₃	—	2	1	no	—
139	C₂×D₄×C₇₃	—	2	1	no	—
140	D₈×C₇₃	—	2	1	no	—
141	D₈×C₇₃	—	2	1	no	—
142	D₈×C₇₃	C₂²×C₄	1	2	yes	—
143	D₈×C₇₃	C₂²×C₄	1	2	yes	—
144	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
145	C₁₆×C₇₃	C₂²×C₄	1	1	yes	characteristic
146	C₁₆×C₇₃	C₂²×C₄	1	1	yes	characteristic
147	C₂³×C₇₃	—	4	1	no	—
148	C₂³×C₇₃	—	4	1	no	—
149	C₂²×D₇₃	—	4	1	no	—
150	C₂²×D₇₃	—	4	2	no	—
151	C₂²×D₇₃	—	4	2	no	—
152	C₂²×D₇₃	—	16	2	no	—
153	C₂²×D₇₃	AGL(1,ℤ/8)	1	1	yes	characteristic
154	C₂×#64408	—	2	2	no	—
155	C₂×#64408	—	4	2	no	—
156	C₂×#64408	—	16	4	no	—
157	D₄×C₇₃	—	2	2	no	—
158	D₄×C₇₃	—	2	2	no	—
159	D₄×C₇₃	—	4	1	no	—
160	D₄×C₇₃	—	4	1	no	—
161	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
162	C₂²⋊D₇₃	—	4	2	no	—
163	C₂²⋊D₇₃	—	4	2	no	—
164	C₂²⋊D₇₃	—	4	2	no	—
165	C₂²⋊D₇₃	—	4	2	no	—
166	C₂×Dic₇₃	—	4	1	no	—
167	C₂×Dic₇₃	—	4	2	no	—
168	C₂×Dic₇₃	—	4	2	no	—
169	C₂×Dic₇₃	AGL(1,ℤ/8)	1	1	yes	characteristic
170	D₂₉₂	—	2	2	no	—
171	D₂₉₂	—	4	1	no	—
172	C₄×D₇₃	C₄×D₄	1	1	yes	characteristic
173	C₄×D₇₃	AGL(1,ℤ/8)	1	1	yes	characteristic
174	C₄×D₇₃	AGL(1,ℤ/8)	1	1	yes	characteristic
175	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
176	Dic₁₄₆	—	2	2	no	—
177	Dic₁₄₆	—	4	1	no	—
178	#10596833	—	2	2	no	—
179	#10596833	—	4	2	no	—
180	C₈×C₇₃	C₄×D₄	1	1	yes	characteristic
181	C₈×C₇₃	C₂³×C₄	1	1	yes	characteristic
182	#10596831	C₄×D₄	1	1	yes	characteristic
183	#10596831	C₂×#41	1	1	yes	characteristic
184	C₂²×C₇₃	—	4	2	no	—
185	C₂²×C₇₃	—	4	2	no	—
186	C₂²×C₇₃	—	16	1	no	—
187	C₂²×C₇₃	—	16	1	no	—
188	C₂²×C₇₃	#442	1	1	yes	characteristic
189	C₂×D₇₃	—	4	1	no	—
190	C₂×D₇₃	—	4	2	no	—
191	C₂×D₇₃	—	8	4	no	—
192	C₂×D₇₃	—	16	2	no	—
193	C₂×D₇₃	—	16	1	no	—
194	C₂×D₇₃	#442	1	1	yes	characteristic
195	C₂×D₇₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
196	#64408	—	4	2	no	—
197	#64408	—	8	2	no	—
198	C₄×C₇₃	#442	1	1	yes	characteristic
199	C₄×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
200	Dic₇₃	—	4	2	no	—
201	Dic₇₃	#442	1	1	yes	characteristic
202	Dic₇₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
203	#33471	—	73	1	no	maximal, Sylow
204	C₂×C₇₃	—	2	1	no	—
205	C₂×C₇₃	—	8	2	no	—
206	C₂×C₇₃	—	8	2	no	—
207	C₂×C₇₃	C₂×#442	1	1	yes	characteristic
208	D₇₃	—	2	1	no	—
209	D₇₃	—	2	1	no	—
210	D₇₃	—	8	2	no	—
211	C₂×#509	—	73	1	no	—
212	#2957	—	73	1	no	—
213	#2948	—	73	1	no	—
214	AGL(1,ℤ/16)	—	73	4	no	—
215	AGL(1,ℤ/16)	—	73	4	no	—
216	#2155	—	73	1	no	—
217	C₂×#361	—	73	1	no	—
218	#2145	—	73	1	no	—
219	#2110	—	73	1	no	—
220	C₇₃	#33471	1	1	yes	characteristic, complemented, Sylow
221	C₂×#135	—	73	1	no	—
222	C₂²×D₈	—	73	1	no	—
223	#568	—	146	1	no	—
224	#518	—	146	1	no	—
225	#509	—	73	2	no	—
226	#509	—	73	2	no	—
227	#509	—	73	2	no	—
228	#509	—	73	2	no	—
229	C₂×SD₃₂	—	73	1	no	—
230	C₂×SD₃₂	—	73	1	no	—
231	C₂×D₁₆	—	73	1	no	—
232	C₂×D₁₆	#64408	1	1	yes	characteristic, complemented
233	C₂×M₃₂	—	73	1	no	—
234	C₂×M₃₂	—	73	1	no	—
235	#444	—	73	4	no	—
236	#443	—	146	2	no	—
237	#442	—	73	4	no	—
238	C₄×D₈	—	146	2	no	—
239	C₂×#108	—	73	1	no	—
240	#427	—	73	1	no	—
241	#421	—	146	1	no	—
242	#418	—	146	1	no	—
243	#405	—	73	1	no	—
244	#365	—	73	2	no	—
245	#365	—	73	2	no	—
246	#361	—	73	4	no	—
247	#360	—	73	4	no	—
248	#347	—	73	2	no	—
249	#347	—	73	2	no	—
250	C₂×#41	—	146	1	no	—
251	C₂²×D₄	—	146	1	no	—
252	#135	—	73	2	no	—
253	#135	—	73	2	no	—
254	#135	—	146	1	no	—
255	#135	—	146	1	no	—
256	C₂×Q₁₆	—	73	1	no	—
257	C₂×SD₁₆	—	146	1	no	—
258	C₂×D₈	—	73	2	no	—
259	C₂×D₈	—	73	2	no	—
260	C₂×D₈	—	73	1	no	—
261	C₂×D₈	—	146	1	no	—
262	C₂×D₈	—	146	1	no	—
263	C₂×D₈	—	146	1	no	—
264	C₂×D₈	C₂×#64408	1	1	yes	characteristic
265	C₂×D₈	C₂×#64408	1	1	yes	characteristic, complemented
266	#131	—	292	2	no	—
267	#131	—	146	4	no	—
268	C₂×M₁₆	—	292	2	no	—
269	C₂×M₁₆	—	73	1	no	—
270	C₂×M₁₆	—	146	1	no	—
271	C₂²×C₈	—	73	1	no	—
272	C₄×D₄	—	292	2	no	—
273	C₄×D₄	—	146	4	no	—
274	#117	—	73	1	no	—
275	#117	—	146	1	no	—
276	C₂×C₂²⋊C₄	—	292	2	no	—
277	SD₃₂	—	73	2	no	—
278	SD₃₂	—	73	2	no	—
279	SD₃₂	—	73	2	no	—
280	SD₃₂	—	73	2	no	—
281	D₁₆	—	73	2	no	—
282	D₁₆	—	73	2	no	—
283	D₁₆	C₂×#64408	1	2	yes	complemented
284	D₁₆	C₂×#64408	1	2	yes	complemented
285	M₃₂	—	73	1	no	—
286	M₃₂	—	73	1	no	—
287	M₃₂	—	73	1	no	—
288	M₃₂	—	73	1	no	—
289	M₃₂	—	73	2	no	—
290	M₃₂	—	146	1	no	—
291	C₂×C₁₆	—	73	1	no	—
292	C₂×C₁₆	—	146	1	no	—
293	C₂×C₁₆	C₂×#64408	1	1	yes	characteristic, complemented
294	#108	—	73	2	no	—
295	#108	—	146	1	no	—
296	#107	—	146	1	no	—
297	#106	—	73	2	no	—
298	#104	—	146	4	no	—
299	#102	—	146	4	no	—
300	#97	—	73	2	no	—
301	C₄×C₈	—	73	2	no	—
302	C₂⁴	—	292	1	no	—
303	#41	—	292	1	no	—
304	#41	—	292	1	no	—
305	#41	—	146	2	no	—
306	#41	—	146	2	no	—
307	C₂×Q₈	—	146	1	no	—
308	C₂×D₄	—	2	1	no	—
309	C₂×D₄	—	2	1	no	—
310	C₂×D₄	—	292	1	no	—
311	C₂×D₄	—	292	1	no	—
312	C₂×D₄	—	292	1	no	—
313	C₂×D₄	—	292	1	no	—
314	C₂×D₄	—	146	2	no	—
315	C₂×D₄	—	146	2	no	—
316	C₂×D₄	—	146	1	no	—
317	C₂²×C₄	—	292	1	no	—
318	C₂²×C₄	—	292	4	no	—
319	C₂²×C₄	—	73	1	no	—
320	Q₁₆	—	73	2	no	—
321	Q₁₆	—	146	1	no	—
322	SD₁₆	—	146	2	no	—
323	SD₁₆	—	146	2	no	—
324	D₈	—	2	1	no	—
325	D₈	—	2	1	no	—
326	D₈	—	73	2	no	—
327	D₈	—	146	2	no	—
328	D₈	—	146	2	no	—
329	D₈	—	146	1	no	—
330	D₈	C₂²×#64408	1	2	yes	—
331	D₈	C₂²×#64408	1	2	yes	—
332	M₁₆	—	292	1	no	—
333	M₁₆	—	292	4	no	—
334	M₁₆	—	146	2	no	—
335	M₁₆	—	146	1	no	—
336	M₁₆	—	146	1	no	—
337	C₂×C₈	—	292	1	no	—
338	C₂×C₈	—	292	4	no	—
339	C₂×C₈	—	73	1	no	—
340	C₂×C₈	—	73	1	no	—
341	C₂×C₈	—	73	1	no	—
342	C₂×C₈	—	73	1	no	—
343	C₂×C₈	—	73	1	no	—
344	C₂×C₈	—	73	2	no	—
345	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
346	C₄⋊C₄	—	146	2	no	—
347	C₄⋊C₄	—	146	1	no	—
348	C₂²⋊C₄	—	292	1	no	—
349	C₂²⋊C₄	—	292	4	no	—
350	C₂²⋊C₄	—	146	1	no	—
351	C₄²	—	292	1	no	—
352	C₄²	—	73	2	no	—
353	C₁₆	—	73	1	no	—
354	C₁₆	—	73	1	no	—
355	C₁₆	—	146	2	no	—
356	C₁₆	C₂²×#64408	1	1	yes	characteristic
357	C₁₆	C₂²×#64408	1	1	yes	characteristic
358	C₂³	—	4	1	no	—
359	C₂³	—	4	1	no	—
360	C₂³	—	292	2	no	—
361	C₂³	—	292	2	no	—
362	C₂³	—	292	1	no	—
363	C₂³	—	73	1	no	—
364	C₂³	—	1168	2	no	—
365	Q₈	—	292	1	no	—
366	Q₈	—	146	2	no	—
367	D₄	—	2	2	no	—
368	D₄	—	2	2	no	—
369	D₄	—	4	1	no	—
370	D₄	—	4	1	no	—
371	D₄	—	292	2	no	—
372	D₄	—	292	2	no	—
373	D₄	—	292	2	no	—
374	D₄	—	292	2	no	—
375	D₄	—	292	1	no	—
376	D₄	—	146	2	no	—
377	C₂×C₄	—	292	1	no	—
378	C₂×C₄	—	292	2	no	—
379	C₂×C₄	—	292	2	no	—
380	C₂×C₄	—	292	2	no	—
381	C₂×C₄	—	73	1	no	—
382	C₂×C₄	—	73	1	no	—
383	C₂×C₄	—	73	1	no	—
384	C₂×C₄	—	73	1	no	—
385	C₂×C₄	—	73	1	no	—
386	C₂×C₄	—	1168	4	no	—
387	C₂×C₄	—	146	2	no	—
388	C₂×C₄	D₄×#64408	1	1	yes	characteristic
389	C₈	—	292	2	no	—
390	C₈	—	73	1	no	—
391	C₈	—	73	1	no	—
392	C₈	—	146	2	no	—
393	C₈	D₄×#64408	1	1	yes	characteristic
394	C₈	C₂³×#64408	1	1	yes	characteristic
395	C₂²	—	4	2	no	—
396	C₂²	—	4	2	no	—
397	C₂²	—	16	1	no	—
398	C₂²	—	16	1	no	—
399	C₂²	—	292	1	no	—
400	C₂²	—	292	2	no	—
401	C₂²	—	584	4	no	—
402	C₂²	—	73	1	no	—
403	C₂²	—	73	1	no	—
404	C₂²	—	1168	1	no	—
405	C₂²	—	1168	2	no	—
406	C₂²	#17989628	1	1	yes	characteristic
407	C₄	—	292	2	no	—
408	C₄	—	292	2	no	—
409	C₄	—	584	2	no	—
410	C₄	—	73	1	no	—
411	C₄	—	73	1	no	—
412	C₄	#17989628	1	1	yes	characteristic
413	C₄	C₂×D₄×#64408	1	1	yes	characteristic
414	C₂	—	2	1	no	—
415	C₂	—	8	2	no	—
416	C₂	—	8	2	no	—
417	C₂	—	584	2	no	—
418	C₂	—	146	1	no	—
419	C₂	—	146	1	no	—
420	C₂	C₂×#17989628	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×#17989628
commutator	C₈×C₇₃	C₂³×C₄
Frattini	C₈	C₂³×#64408
Fitting	C₂×D₁₆×C₇₃	C₄
socle	C₂×C₇₃	C₂×#442
prime radical	C₂×#17989021	C₂
cosocle	C₈×D₇₃	C₂⁴
hypercenter	C₂×D₁₆	#64408
hypocenter	C₇₃	#33471
LCS	G ▷ C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ C₂×C₈ ◁ C₂×D₁₆

Complements

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

N	H ≅ G/N	type
1. #22626707	C₂	semidirect
2. #22626690	C₂	semidirect
3. #22626341	C₂	semidirect
4. #22626340	C₂	semidirect
5. #22626278	C₂	semidirect
6. D₇₃⋊#361	C₂	semidirect
7. #22626252	C₂	semidirect
8. #22626150	C₂	semidirect
13. #17989634	C₂²	semidirect
15. #17989628	C₂²	semidirect
22. #17989512	C₂²	semidirect
23. #17989511	C₂²	semidirect
24. #17989505	C₂²	semidirect
25. #17989503	C₂²	semidirect
26. #17989478	C₂²	semidirect
27. #17989477	C₂²	semidirect
30. #17989021	C₄	semidirect
31. #17989021	C₄	semidirect
34. C₂×#14556536	C₄	semidirect
35. C₂×#14556535	C₄	semidirect
36. C₂×#14556532	C₄	semidirect
38. C₂×D₁₆×C₇₃	C₄	semidirect
64. #14556610	C₂×C₄	semidirect
66. C₂×Dic₂₉₂	C₂×C₄	semidirect
75. #14556536	C₂×C₄	semidirect
76. #14556536	C₂×C₄	semidirect
77. #14556535	C₂×C₄	semidirect
78. #14556535	C₂×C₄	semidirect
79. #14556532	C₂×C₄	semidirect
80. #14556532	C₂×C₄	semidirect
81. #14556530	C₂×C₄	semidirect
82. #14556530	C₂×C₄	semidirect
85. C₂×#11924003	C₂×C₄	semidirect
87. C₂×D₈×C₇₃	C₂×C₄	semidirect
88. D₁₆×C₇₃	C₂×C₄	semidirect
89. D₁₆×C₇₃	C₂×C₄	semidirect
90. C₂×C₁₆×C₇₃	C₂×C₄	semidirect
220. C₇₃	#33471	semidirect
232. C₂×D₁₆	#64408	semidirect
265. C₂×D₈	C₂×#64408	semidirect
283. D₁₆	C₂×#64408	semidirect
284. D₁₆	C₂×#64408	semidirect
293. C₂×C₁₆	C₂×#64408	semidirect

Maximal subgroups

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

subgroup	index
#22626707	2
#22626690	2
#22626341	2
#22626340	2
#22626278	2
D₇₃⋊#361	2
#22626252	2
#22626150	2
C₂×#17989021	2
#33471	73