Subgroups — #36364036

Order 22144.

564 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19149708	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#19149703	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19149698	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×SD₁₆×D₁₇₃	C₂	1	1	yes	maximal, characteristic, complemented
5	#26012061	C₂	1	1	yes	maximal, characteristic, complemented
6	#26012054	C₂	1	1	yes	maximal, characteristic, complemented
7	#26011885	C₂	1	1	yes	maximal, characteristic, complemented
8	#26011882	C₂	1	1	yes	maximal, characteristic, complemented
9	#26011879	C₂	1	1	yes	maximal, characteristic, complemented
10	#26011874	C₂	1	1	yes	maximal, characteristic, complemented
11	#26011873	C₂	1	1	yes	maximal, characteristic, complemented
12	#26011863	C₂	1	1	yes	maximal, characteristic, complemented
13	#26011862	C₂	1	1	yes	maximal, characteristic, complemented
14	#26011448	C₂	1	1	yes	maximal, characteristic, complemented
15	#496×C₁₇₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583825	C₂²	1	1	yes	characteristic
17	C₂×#14583825	C₂²	1	1	yes	characteristic
18	C₂×Q₈×D₁₇₃	C₂²	1	1	yes	characteristic
19	C₂×D₄×D₁₇₃	C₂²	1	1	yes	characteristic
20	#19149708	—	2	4	no	—
21	#19149703	—	2	4	no	—
22	#19149698	—	2	4	no	—
23	C₂×Dic₆₉₂	C₂²	1	1	yes	characteristic, complemented
24	C₂×Dic₆₉₂	C₂²	1	1	yes	characteristic, complemented
25	C₂×#14583816	C₂²	1	1	yes	characteristic, complemented
26	C₂×#14583815	C₂²	1	1	yes	characteristic
27	C₂×#14583815	C₂²	1	1	yes	characteristic
28	C₂×#14583814	C₂²	1	1	yes	characteristic
29	C₂×#14583814	C₂²	1	1	yes	characteristic
30	C₂×#14583814	C₂²	1	1	yes	characteristic, complemented
31	C₂×#14583814	C₂²	1	1	yes	characteristic, complemented
32	C₂×#14583814	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14583813	C₂²	1	1	yes	characteristic
34	SD₁₆×D₁₇₃	—	2	4	no	—
35	C₂×#14583811	C₂²	1	1	yes	characteristic
36	C₂×#14583809	C₂²	1	1	yes	characteristic
37	C₂×C₈×D₁₇₃	C₂²	1	1	yes	characteristic
38	#19149679	C₂²	1	1	yes	characteristic, complemented
39	#19149677	C₂²	1	1	yes	characteristic, complemented
40	#19149675	C₂²	1	1	yes	characteristic
41	#19149667	C₂²	1	1	yes	characteristic
42	#19149666	C₂²	1	1	yes	characteristic
43	#19149666	C₂²	1	1	yes	characteristic, complemented
44	#19149661	—	2	2	no	—
45	#19149656	—	2	2	no	—
46	#19149651	—	2	2	no	—
47	#19149647	—	2	2	no	—
48	#19149636	C₂²	1	1	yes	characteristic
49	#19149589	C₂²	1	1	yes	characteristic, complemented
50	C₄×#13063436	C₂²	1	1	yes	characteristic, complemented
51	C₈×Dic₁₇₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×SD₁₆×C₁₇₃	C₂²	1	1	yes	characteristic
53	C₂×SD₁₆×C₁₇₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×D₈×C₁₇₃	C₂²	1	1	yes	characteristic
55	C₂×D₈×C₁₇₃	C₂²	1	1	yes	characteristic, complemented
56	#127×C₁₇₃	C₂²	1	1	yes	characteristic
57	#124×C₁₇₃	C₂²	1	1	yes	characteristic, complemented
58	#97×C₁₇₃	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₇₃	—	2	1	no	—
60	#14583825	—	2	2	no	—
61	#14583825	—	2	2	no	—
62	#14583825	—	2	2	no	—
63	#14583825	—	2	2	no	—
64	C₂×Dic₃₄₆	—	2	1	no	—
65	C₂×Dic₃₄₆	C₂³	1	1	yes	characteristic
66	C₂×Dic₃₄₆	C₂³	1	1	yes	characteristic
67	C₂×Dic₃₄₆	C₂³	1	1	yes	characteristic
68	Q₈×D₁₇₃	—	2	2	no	—
69	Q₈×D₁₇₃	—	2	2	no	—
70	C₂×D₆₉₂	C₂³	1	1	yes	characteristic
71	C₂×C₂²⋊D₁₇₃	—	2	1	no	—
72	C₂×C₂²⋊D₁₇₃	—	2	1	no	—
73	C₂×C₂²⋊D₁₇₃	—	2	1	no	—
74	C₂×C₂²⋊D₁₇₃	—	2	2	no	—
75	D₄×D₁₇₃	—	2	2	no	—
76	D₄×D₁₇₃	—	2	2	no	—
77	C₂²×Dic₁₇₃	—	2	1	no	—
78	C₂²×Dic₁₇₃	—	2	1	no	—
79	C₂×C₄×D₁₇₃	—	2	1	no	—
80	C₂×C₄×D₁₇₃	C₂³	1	1	yes	characteristic
81	Dic₆₉₂	—	2	2	no	—
82	Dic₆₉₂	—	2	2	no	—
83	#14583816	—	2	2	no	—
84	#14583815	—	2	2	no	—
85	#14583815	—	2	2	no	—
86	#14583814	—	2	2	no	—
87	#14583814	—	2	2	no	—
88	#14583814	—	2	2	no	—
89	#14583814	—	2	2	no	—
90	#14583814	—	2	2	no	—
91	#14583813	—	2	2	no	—
92	#14583811	—	2	2	no	—
93	#14583809	D₄	1	4	yes	complemented
94	C₂×#13063436	C₂³	1	1	yes	characteristic
95	C₂×#13063436	C₂³	1	1	yes	characteristic
96	C₈×D₁₇₃	D₄	1	4	yes	complemented
97	C₄⋊Dic₁₇₃	—	2	2	no	—
98	#14583805	—	2	2	no	—
99	#14583805	D₄	1	2	yes	—
100	C₂²⋊Dic₁₇₃	—	2	2	no	—
101	C₂²⋊Dic₁₇₃	—	2	2	no	—
102	#14583803	—	2	2	no	—
103	#14583803	D₄	1	2	yes	—
104	C₄×Dic₁₇₃	C₂³	1	1	yes	characteristic
105	C₂×Q₈×C₁₇₃	C₂³	1	1	yes	characteristic
106	C₂×D₄×C₁₇₃	—	2	2	no	—
107	C₂×D₄×C₁₇₃	C₂³	1	1	yes	characteristic
108	C₂×D₄×C₁₇₃	C₂³	1	1	yes	characteristic
109	C₂×D₄×C₁₇₃	C₂³	1	1	yes	characteristic
110	SD₁₆×C₁₇₃	—	2	2	no	—
111	SD₁₆×C₁₇₃	—	2	2	no	—
112	D₈×C₁₇₃	—	2	2	no	—
113	D₈×C₁₇₃	—	2	2	no	—
114	C₂×C₈×C₁₇₃	C₂³	1	1	yes	characteristic
115	C₂×C₈×C₁₇₃	C₂³	1	1	yes	characteristic
116	C₂²⋊C₄×C₁₇₃	—	2	2	no	—
117	C₄²×C₁₇₃	C₂³	1	1	yes	characteristic
118	C₂²×D₁₇₃	—	2	1	no	—
119	C₂²×D₁₇₃	—	4	2	no	—
120	C₂²×D₁₇₃	—	8	2	no	—
121	C₂²×D₁₇₃	C₂×D₄	1	1	yes	characteristic
122	Dic₃₄₆	—	2	1	no	—
123	Dic₃₄₆	—	2	1	no	—
124	Dic₃₄₆	—	2	1	no	—
125	Dic₃₄₆	—	2	1	no	—
126	Dic₃₄₆	—	2	1	no	—
127	Dic₃₄₆	—	2	1	no	—
128	Dic₃₄₆	—	4	2	no	—
129	D₆₉₂	—	2	1	no	—
130	D₆₉₂	—	2	1	no	—
131	C₂²⋊D₁₇₃	—	4	2	no	—
132	C₂²⋊D₁₇₃	—	4	2	no	—
133	C₂²⋊D₁₇₃	—	4	2	no	—
134	C₂²⋊D₁₇₃	—	8	2	no	—
135	C₂×Dic₁₇₃	—	2	1	no	—
136	C₂×Dic₁₇₃	—	2	1	no	—
137	C₂×Dic₁₇₃	—	2	1	no	—
138	C₂×Dic₁₇₃	—	4	2	no	—
139	C₂×Dic₁₇₃	—	4	2	no	—
140	C₂×Dic₁₇₃	C₂×D₄	1	2	yes	—
141	C₂×Dic₁₇₃	C₂×D₄	1	1	yes	characteristic
142	C₄×D₁₇₃	—	4	2	no	—
143	C₄×D₁₇₃	C₂×D₄	1	2	yes	—
144	C₄×D₁₇₃	C₂×D₄	1	2	yes	—
145	#13063436	C₂×D₄	1	2	yes	—
146	#13063436	C₂×D₄	1	2	yes	—
147	C₂³×C₁₇₃	—	2	1	no	—
148	C₂³×C₁₇₃	—	2	1	no	—
149	C₂³×C₁₇₃	—	2	1	no	—
150	Q₈×C₁₇₃	—	2	1	no	—
151	Q₈×C₁₇₃	—	2	1	no	—
152	D₄×C₁₇₃	—	2	1	no	—
153	D₄×C₁₇₃	—	2	1	no	—
154	D₄×C₁₇₃	—	2	1	no	—
155	D₄×C₁₇₃	—	2	1	no	—
156	D₄×C₁₇₃	—	2	1	no	—
157	D₄×C₁₇₃	—	2	1	no	—
158	D₄×C₁₇₃	—	8	2	no	—
159	C₂×C₄×C₁₇₃	—	2	1	no	—
160	C₂×C₄×C₁₇₃	C₂×D₄	1	2	yes	—
161	C₂×C₄×C₁₇₃	C₂⁴	1	1	yes	characteristic
162	C₈×C₁₇₃	C₂×D₄	1	2	yes	—
163	C₈×C₁₇₃	C₂×D₄	1	2	yes	—
164	C₂²×C₁₇₃	—	4	1	no	—
165	C₂²×C₁₇₃	—	4	1	no	—
166	C₂²×C₁₇₃	—	4	1	no	—
167	C₂²×C₁₇₃	—	4	2	no	—
168	C₂²×C₁₇₃	—	4	2	no	—
169	C₂²×C₁₇₃	—	4	2	no	—
170	C₂²×C₁₇₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×D₁₇₃	—	2	2	no	—
172	C₂×D₁₇₃	—	4	1	no	—
173	C₂×D₁₇₃	—	4	2	no	—
174	C₂×D₁₇₃	—	8	4	no	—
175	C₂×D₁₇₃	#127	1	2	yes	—
176	C₄×C₁₇₃	—	2	2	no	—
177	C₄×C₁₇₃	—	4	1	no	—
178	C₄×C₁₇₃	C₂²×D₄	1	1	yes	characteristic
179	C₄×C₁₇₃	C₂²×D₄	1	1	yes	characteristic
180	Dic₁₇₃	—	2	2	no	—
181	Dic₁₇₃	—	4	1	no	—
182	Dic₁₇₃	—	4	1	no	—
183	Dic₁₇₃	—	4	1	no	—
184	Dic₁₇₃	#127	1	2	yes	—
185	C₂×C₁₇₃	—	8	1	no	—
186	C₂×C₁₇₃	—	8	1	no	—
187	C₂×C₁₇₃	—	8	1	no	—
188	C₂×C₁₇₃	C₂×#127	1	1	yes	characteristic
189	C₂×C₁₇₃	#577	1	2	yes	—
190	D₁₇₃	—	2	2	no	—
191	D₁₇₃	—	8	1	no	—
192	C₁₇₃	#3154	1	1	yes	characteristic, complemented, Sylow
193	#3154	—	173	1	no	maximal, Sylow
194	C₂×#137	—	173	1	no	—
195	C₂×AGL(1,ℤ/8)	—	173	1	no	—
196	C₂×#135	—	173	1	no	—
197	C₂²×SD₁₆	—	173	1	no	—
198	#536	—	173	1	no	—
199	#535	—	173	1	no	—
200	#497	—	173	1	no	—
201	#497	—	173	1	no	—
202	#496	—	173	1	no	—
203	#496	D₁₇₃	1	1	yes	characteristic, complemented
204	#495	—	173	1	no	—
205	#495	—	173	1	no	—
206	#492	—	173	1	no	—
207	#492	—	173	1	no	—
208	#405	—	173	1	no	—
209	C₂×#41	—	173	1	no	—
210	C₂×#41	—	173	1	no	—
211	C₂²×Q₈	—	173	1	no	—
212	C₂²×D₄	—	173	1	no	—
213	#137	—	346	4	no	—
214	AGL(1,ℤ/8)	—	346	4	no	—
215	#135	—	346	4	no	—
216	C₂×Q₁₆	—	173	1	no	—
217	C₂×Q₁₆	—	173	1	no	—
218	C₂×Q₁₆	—	173	1	no	—
219	C₂×SD₁₆	—	346	4	no	—
220	C₂×SD₁₆	—	173	1	no	—
221	C₂×SD₁₆	—	173	1	no	—
222	C₂×SD₁₆	—	173	1	no	—
223	C₂×SD₁₆	—	173	1	no	—
224	C₂×SD₁₆	—	173	1	no	—
225	C₂×SD₁₆	—	173	1	no	—
226	C₂×SD₁₆	—	173	1	no	—
227	C₂×SD₁₆	—	173	1	no	—
228	C₂×SD₁₆	C₂×D₁₇₃	1	1	yes	characteristic
229	C₂×SD₁₆	C₂×D₁₇₃	1	1	yes	characteristic, complemented
230	C₂×D₈	—	173	1	no	—
231	C₂×D₈	C₂×D₁₇₃	1	1	yes	characteristic
232	C₂×D₈	C₂×D₁₇₃	1	1	yes	characteristic, complemented
233	C₂×M₁₆	—	173	1	no	—
234	C₂²×C₈	—	173	1	no	—
235	C₄⋊Q₈	—	173	1	no	—
236	C₄⋊Q₈	—	173	1	no	—
237	#127	—	173	1	no	—
238	#127	C₂×D₁₇₃	1	1	yes	characteristic
239	#124	—	173	1	no	—
240	#124	—	173	1	no	—
241	#124	—	173	1	no	—
242	#124	C₂×D₁₇₃	1	1	yes	characteristic, complemented
243	#123	—	346	2	no	—
244	C₂²⋊Q₈	—	346	2	no	—
245	#121	—	346	2	no	—
246	#120	—	346	2	no	—
247	#117	—	173	1	no	—
248	#97	—	173	1	no	—
249	#97	C₂×D₁₇₃	1	1	yes	characteristic, complemented
250	C₄×C₈	—	173	1	no	—
251	C₄×C₈	—	173	1	no	—
252	C₂⁴	—	346	1	no	—
253	#41	—	346	2	no	—
254	#41	—	346	2	no	—
255	#41	—	346	2	no	—
256	#41	—	346	2	no	—
257	C₂×Q₈	—	346	1	no	—
258	C₂×Q₈	—	346	2	no	—
259	C₂×Q₈	—	346	2	no	—
260	C₂×Q₈	—	173	1	no	—
261	C₂×Q₈	—	173	1	no	—
262	C₂×Q₈	—	173	1	no	—
263	C₂×Q₈	C₂²×D₁₇₃	1	1	yes	characteristic
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	346	1	no	—
266	C₂×D₄	—	346	1	no	—
267	C₂×D₄	—	346	2	no	—
268	C₂×D₄	—	346	2	no	—
269	C₂×D₄	—	346	2	no	—
270	C₂×D₄	—	346	1	no	—
271	C₂×D₄	—	173	1	no	—
272	C₂×D₄	C₂²×D₁₇₃	1	1	yes	characteristic
273	C₂×D₄	C₂²×D₁₇₃	1	1	yes	characteristic
274	C₂×D₄	C₂²×D₁₇₃	1	1	yes	characteristic
275	C₂²×C₄	—	346	1	no	—
276	C₂²×C₄	—	346	1	no	—
277	C₂²×C₄	—	346	1	no	—
278	C₂²×C₄	—	173	1	no	—
279	Q₁₆	—	346	2	no	—
280	Q₁₆	—	346	2	no	—
281	Q₁₆	—	346	2	no	—
282	SD₁₆	—	2	2	no	—
283	SD₁₆	—	2	2	no	—
284	SD₁₆	—	346	2	no	—
285	SD₁₆	—	346	2	no	—
286	SD₁₆	—	346	2	no	—
287	SD₁₆	—	346	2	no	—
288	SD₁₆	—	346	2	no	—
289	SD₁₆	—	346	2	no	—
290	SD₁₆	—	346	2	no	—
291	SD₁₆	—	346	2	no	—
292	D₈	—	2	2	no	—
293	D₈	—	2	2	no	—
294	D₈	—	346	2	no	—
295	M₁₆	—	173	4	no	—
296	C₂×C₈	—	173	1	no	—
297	C₂×C₈	—	173	1	no	—
298	C₂×C₈	—	173	4	no	—
299	C₂×C₈	C₂²×D₁₇₃	1	1	yes	characteristic
300	C₂×C₈	C₂²×D₁₇₃	1	1	yes	characteristic
301	C₄⋊C₄	—	346	2	no	—
302	C₄⋊C₄	—	346	2	no	—
303	C₄⋊C₄	—	173	2	no	—
304	C₂²⋊C₄	—	2	2	no	—
305	C₂²⋊C₄	—	346	2	no	—
306	C₂²⋊C₄	—	346	2	no	—
307	C₂²⋊C₄	—	346	2	no	—
308	C₂²⋊C₄	—	173	2	no	—
309	C₄²	—	173	1	no	—
310	C₄²	C₂²×D₁₇₃	1	1	yes	characteristic
311	C₂³	—	2	1	no	—
312	C₂³	—	2	1	no	—
313	C₂³	—	2	1	no	—
314	C₂³	—	346	1	no	—
315	C₂³	—	1384	2	no	—
316	C₂³	—	173	1	no	—
317	C₂³	—	692	2	no	—
318	Q₈	—	2	1	no	—
319	Q₈	—	2	1	no	—
320	Q₈	—	346	1	no	—
321	Q₈	—	346	1	no	—
322	Q₈	—	346	1	no	—
323	Q₈	—	346	1	no	—
324	Q₈	—	346	1	no	—
325	Q₈	—	346	1	no	—
326	Q₈	—	692	2	no	—
327	D₄	—	2	1	no	—
328	D₄	—	2	1	no	—
329	D₄	—	2	1	no	—
330	D₄	—	2	1	no	—
331	D₄	—	2	1	no	—
332	D₄	—	2	1	no	—
333	D₄	—	8	2	no	—
334	D₄	—	346	1	no	—
335	D₄	—	346	1	no	—
336	D₄	—	1384	2	no	—
337	D₄	—	692	2	no	—
338	D₄	—	692	2	no	—
339	D₄	—	692	2	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	346	1	no	—
342	C₂×C₄	—	346	1	no	—
343	C₂×C₄	—	346	1	no	—
344	C₂×C₄	—	173	2	no	—
345	C₂×C₄	—	173	1	no	—
346	C₂×C₄	—	173	2	no	—
347	C₂×C₄	—	173	2	no	—
348	C₂×C₄	—	692	2	no	—
349	C₂×C₄	—	692	2	no	—
350	C₂×C₄	—	692	2	no	—
351	C₂×C₄	D₄×D₁₇₃	1	2	yes	—
352	C₂×C₄	C₂³×D₁₇₃	1	1	yes	characteristic
353	C₈	—	173	2	no	—
354	C₈	—	173	2	no	—
355	C₈	D₄×D₁₇₃	1	2	yes	—
356	C₈	D₄×D₁₇₃	1	2	yes	—
357	C₂²	—	4	1	no	—
358	C₂²	—	4	1	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	346	2	no	—
364	C₂²	—	1384	4	no	—
365	C₂²	—	173	2	no	—
366	C₂²	—	692	1	no	—
367	C₂²	—	692	2	no	—
368	C₂²	C₂×D₄×D₁₇₃	1	1	yes	characteristic
369	C₄	—	2	2	no	—
370	C₄	—	4	1	no	—
371	C₄	—	346	2	no	—
372	C₄	—	173	2	no	—
373	C₄	—	692	1	no	—
374	C₄	—	692	1	no	—
375	C₄	—	692	1	no	—
376	C₄	C₂×D₄×D₁₇₃	1	1	yes	characteristic
377	C₄	C₂×D₄×D₁₇₃	1	1	yes	characteristic
378	C₂	—	8	1	no	—
379	C₂	—	8	1	no	—
380	C₂	—	8	1	no	—
381	C₂	—	346	2	no	—
382	C₂	—	1384	1	no	—
383	C₂	#127×D₁₇₃	1	1	yes	characteristic
384	C₂	#26012301	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₇₃
commutator, cosocle	C₂×C₄×C₁₇₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₇₃
Fitting	#496×C₁₇₃	C₂
socle	C₂²×C₁₇₃	C₂²×D₄
hypercenter	#496	D₁₇₃
hypocenter	C₁₇₃	#3154
LCS	G ▷ C₂×C₄×C₁₇₃ ▷ C₂×C₁₇₃ ▷ C₁₇₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #496

Complements

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

N	H ≅ G/N	type
1. C₂×#19149708	C₂	semidirect
2. C₂×#19149703	C₂	semidirect
3. C₂×#19149698	C₂	semidirect
4. C₂×SD₁₆×D₁₇₃	C₂	semidirect
5. #26012061	C₂	semidirect
6. #26012054	C₂	semidirect
7. #26011885	C₂	semidirect
8. #26011882	C₂	semidirect
9. #26011879	C₂	semidirect
10. #26011874	C₂	semidirect
11. #26011873	C₂	semidirect
12. #26011863	C₂	semidirect
13. #26011862	C₂	semidirect
14. #26011448	C₂	semidirect
15. #496×C₁₇₃	C₂	semidirect
23. C₂×Dic₆₉₂	C₂²	semidirect
24. C₂×Dic₆₉₂	C₂²	semidirect
25. C₂×#14583816	C₂²	semidirect
30. C₂×#14583814	C₂²	semidirect
31. C₂×#14583814	C₂²	semidirect
32. C₂×#14583814	C₂²	semidirect
38. #19149679	C₂²	semidirect
39. #19149677	C₂²	semidirect
43. #19149666	C₂²	semidirect
49. #19149589	C₂²	semidirect
50. C₄×#13063436	C₂²	semidirect
51. C₈×Dic₁₇₃	C₂²	semidirect
53. C₂×SD₁₆×C₁₇₃	C₂²	semidirect
55. C₂×D₈×C₁₇₃	C₂²	semidirect
57. #124×C₁₇₃	C₂²	semidirect
58. #97×C₁₇₃	C₂²	semidirect
93. #14583809	D₄	semidirect
96. C₈×D₁₇₃	D₄	semidirect
192. C₁₇₃	#3154	semidirect
203. #496	D₁₇₃	semidirect
229. C₂×SD₁₆	C₂×D₁₇₃	semidirect
232. C₂×D₈	C₂×D₁₇₃	semidirect
242. #124	C₂×D₁₇₃	semidirect
249. #97	C₂×D₁₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19149708	2
C₂×#19149703	2
C₂×#19149698	2
C₂×SD₁₆×D₁₇₃	2
#26012061	2
#26012054	2
#26011885	2
#26011882	2
#26011879	2
#26011874	2
#26011873	2
#26011863	2
#26011862	2
#26011448	2
#496×C₁₇₃	2
#3154	173