Subgroups — #36366954

Order 22144.

1040 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26012114	C₂	1	2	yes	maximal, complemented
2	#26012113	C₂	1	2	yes	maximal, complemented
3	#26012102	C₂	1	1	yes	maximal, characteristic, complemented
4	#26012097	C₂	1	1	yes	maximal, characteristic, complemented
5	#26012096	C₂	1	1	yes	maximal, characteristic, complemented
6	#26012089	C₂	1	4	yes	maximal, complemented
7	#26012080	C₂	1	4	yes	maximal, complemented
8	#26012047	C₂	1	1	yes	maximal, characteristic, complemented
9	#26012042	C₂	1	1	yes	maximal, characteristic, complemented
10	#26012026	C₂	1	4	yes	maximal, complemented
11	#26012024	C₂	1	4	yes	maximal, complemented
12	#26012004	C₂	1	2	yes	maximal, complemented
13	C₄×#14583827	C₂	1	2	yes	maximal, complemented
14	#117×D₁₇₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#541×C₁₇₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583827	C₂²	1	2	yes	—
17	C₂²×C₄×D₁₇₃	C₂²	1	1	yes	characteristic
18	#19149678	C₂²	1	2	yes	complemented
19	#19149676	C₂²	1	1	yes	characteristic, complemented
20	#19149674	C₂²	1	4	yes	—
21	#19149674	C₂²	1	4	yes	complemented
22	#19149673	C₂²	1	4	yes	complemented
23	#19149671	C₂²	1	1	yes	characteristic, complemented
24	#19149669	C₂²	1	4	yes	complemented
25	#19149668	C₂²	1	2	yes	complemented
26	#19149667	C₂²	1	4	yes	—
27	#19149665	C₂²	1	4	yes	—
28	#19149664	C₂²	1	4	yes	—
29	#19149664	C₂²	1	4	yes	—
30	#19149664	C₂²	1	4	yes	complemented
31	#19149664	C₂²	1	4	yes	complemented
32	#19149661	C₂²	1	4	yes	—
33	#19149659	C₂²	1	4	yes	complemented
34	#19149657	C₂²	1	4	yes	—
35	#19149657	C₂²	1	4	yes	complemented
36	#19149655	C₂²	1	2	yes	—
37	#19149654	C₂²	1	2	yes	—
38	#19149654	C₂²	1	4	yes	—
39	#19149654	C₂²	1	4	yes	—
40	#19149653	C₂²	1	2	yes	—
41	#19149652	C₂²	1	4	yes	—
42	#19149649	C₂²	1	4	yes	—
43	Q₈×Dic₁₇₃	C₂²	1	2	yes	complemented
44	#19149644	C₂²	1	4	yes	complemented
45	C₄×D₆₉₂	C₂²	1	4	yes	—
46	C₄×D₆₉₂	C₂²	1	2	yes	complemented
47	#19149641	C₂²	1	4	yes	—
48	#19149641	C₂²	1	4	yes	—
49	#19149641	C₂²	1	2	yes	complemented
50	#19149641	C₂²	1	4	yes	complemented
51	#19149639	C₂²	1	4	yes	—
52	#19149638	C₂²	1	1	yes	characteristic
53	#19149637	C₂²	1	2	yes	—
54	#19149637	C₂²	1	2	yes	—
55	#19149637	C₂²	1	4	yes	complemented
56	#19149636	C₂²	1	1	yes	characteristic
57	#19149636	C₂²	1	1	yes	characteristic
58	#19149635	C₂²	1	2	yes	—
59	C₄⋊C₄×D₁₇₃	C₂²	1	2	yes	—
60	C₂²⋊C₄×D₁₇₃	C₂²	1	2	yes	—
61	C₄²×D₁₇₃	C₂²	1	1	yes	characteristic
62	C₄²×D₁₇₃	C₂²	1	1	yes	characteristic
63	C₄²×D₁₇₃	C₂²	1	4	yes	complemented
64	C₄⋊Q₈×C₁₇₃	C₂²	1	1	yes	characteristic, complemented
65	#126×C₁₇₃	C₂²	1	4	yes	—
66	#125×C₁₇₃	C₂²	1	4	yes	complemented
67	#125×C₁₇₃	C₂²	1	1	yes	characteristic, complemented
68	C₂²⋊Q₈×C₁₇₃	C₂²	1	2	yes	—
69	C₄×Q₈×C₁₇₃	C₂²	1	2	yes	complemented
70	#117×C₁₇₃	C₂²	1	1	yes	characteristic
71	C₂³×D₁₇₃	C₂³	1	1	yes	characteristic
72	#14583827	—	2	8	no	—
73	C₂×Dic₃₄₆	C₂³	1	4	yes	—
74	C₂×D₆₉₂	C₂³	1	4	yes	—
75	C₂×D₆₉₂	C₂³	1	2	yes	—
76	C₂×D₆₉₂	C₂³	1	4	yes	—
77	C₂×D₆₉₂	C₂³	1	4	yes	—
78	C₂×C₂²⋊D₁₇₃	C₂³	1	4	yes	—
79	C₂²×Dic₁₇₃	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₁₇₃	—	2	4	no	—
81	C₂×C₄×D₁₇₃	C₂³	1	4	yes	—
82	C₂×C₄×D₁₇₃	C₂³	1	1	yes	characteristic
83	C₂×C₄×D₁₇₃	C₂³	1	1	yes	characteristic
84	C₂×C₄×D₁₇₃	C₂³	1	1	yes	characteristic
85	C₂×C₄×D₁₇₃	C₂³	1	2	yes	—
86	C₂×C₄×D₁₇₃	C₂³	1	2	yes	—
87	C₂×C₄×D₁₇₃	C₂³	1	4	yes	—
88	C₂×C₄×D₁₇₃	C₂³	1	4	yes	—
89	C₂×C₄×D₁₇₃	C₂³	1	1	yes	characteristic
90	C₄⋊Dic₁₇₃	C₂³	1	2	yes	—
91	C₄⋊Dic₁₇₃	C₂³	1	2	yes	—
92	C₄⋊Dic₁₇₃	C₂³	1	4	yes	—
93	#14583805	C₂³	1	2	yes	—
94	#14583805	C₂³	1	2	yes	—
95	#14583805	C₂³	1	4	yes	—
96	#14583805	C₂³	1	4	yes	—
97	#14583805	C₂³	1	4	yes	—
98	C₂²⋊Dic₁₇₃	C₂³	1	2	yes	—
99	#14583803	C₂³	1	2	yes	—
100	#14583803	C₂³	1	2	yes	—
101	#14583803	C₂³	1	4	yes	—
102	#14583803	C₂³	1	4	yes	—
103	#14583803	C₂³	1	4	yes	—
104	#14583803	C₂³	1	4	yes	—
105	#14583803	C₂³	1	4	yes	—
106	#14583803	C₂³	1	4	yes	—
107	#14583803	C₂³	1	4	yes	—
108	#14583803	C₂³	1	4	yes	—
109	C₄×Dic₁₇₃	C₂³	1	2	yes	—
110	C₄×Dic₁₇₃	C₂³	1	2	yes	—
111	C₄×Dic₁₇₃	C₂³	1	1	yes	characteristic
112	C₄×Dic₁₇₃	C₂³	1	1	yes	characteristic
113	C₄×Dic₁₇₃	C₂³	1	4	yes	—
114	C₄×Dic₁₇₃	C₂³	1	4	yes	—
115	C₂×Q₈×C₁₇₃	C₂³	1	2	yes	—
116	C₂²×C₄×C₁₇₃	C₂³	1	1	yes	characteristic
117	C₄⋊C₄×C₁₇₃	C₂³	1	4	yes	—
118	C₄⋊C₄×C₁₇₃	C₂³	1	2	yes	—
119	C₄⋊C₄×C₁₇₃	C₂³	1	2	yes	—
120	C₄⋊C₄×C₁₇₃	C₂³	1	4	yes	—
121	C₄⋊C₄×C₁₇₃	C₂³	1	4	yes	—
122	C₄⋊C₄×C₁₇₃	C₂³	1	4	yes	—
123	C₂²⋊C₄×C₁₇₃	C₂³	1	2	yes	—
124	C₂²⋊C₄×C₁₇₃	C₂³	1	4	yes	—
125	C₄²×C₁₇₃	C₂³	1	1	yes	characteristic
126	C₄²×C₁₇₃	C₂³	1	1	yes	characteristic
127	C₄²×C₁₇₃	C₂³	1	4	yes	—
128	C₂²×D₁₇₃	—	2	2	no	—
129	C₂²×D₁₇₃	—	4	2	no	—
130	C₂²×D₁₇₃	C₂⁴	1	4	yes	—
131	C₂²×D₁₇₃	C₂⁴	1	1	yes	characteristic
132	C₂²×D₁₇₃	C₂⁴	1	1	yes	characteristic
133	Dic₃₄₆	—	4	4	no	—
134	D₆₉₂	—	2	8	no	—
135	D₆₉₂	—	2	4	no	—
136	D₆₉₂	—	4	4	no	—
137	D₆₉₂	—	4	4	no	—
138	C₂²⋊D₁₇₃	—	4	4	no	—
139	C₂×Dic₁₇₃	—	2	2	no	—
140	C₂×Dic₁₇₃	C₂⁴	1	2	yes	—
141	C₂×Dic₁₇₃	C₂⁴	1	1	yes	characteristic
142	C₂×Dic₁₇₃	C₂⁴	1	4	yes	—
143	C₂×Dic₁₇₃	C₂⁴	1	2	yes	—
144	C₂×Dic₁₇₃	C₂⁴	1	1	yes	characteristic
145	C₄×D₁₇₃	—	2	2	no	—
146	C₄×D₁₇₃	—	2	2	no	—
147	C₄×D₁₇₃	—	2	2	no	—
148	C₄×D₁₇₃	—	2	8	no	—
149	C₄×D₁₇₃	—	4	2	no	—
150	C₄×D₁₇₃	—	4	4	no	—
151	C₄×D₁₇₃	—	4	4	no	—
152	C₄×D₁₇₃	—	4	2	no	—
153	C₄×D₁₇₃	#41	1	4	yes	—
154	C₂³×C₁₇₃	C₂⁴	1	1	yes	characteristic
155	Q₈×C₁₇₃	—	2	4	no	—
156	C₂×C₄×C₁₇₃	—	2	2	no	—
157	C₂×C₄×C₁₇₃	C₂⁴	1	2	yes	—
158	C₂×C₄×C₁₇₃	C₂⁴	1	1	yes	characteristic
159	C₂×C₄×C₁₇₃	C₂⁴	1	2	yes	—
160	C₂×C₄×C₁₇₃	C₂⁴	1	4	yes	—
161	C₂×C₄×C₁₇₃	C₂⁴	1	4	yes	—
162	C₂×C₄×C₁₇₃	C₂⁴	1	1	yes	characteristic
163	C₂²×C₁₇₃	—	2	1	no	—
164	C₂²×C₁₇₃	—	2	2	no	—
165	C₂²×C₁₇₃	C₂⁵	1	1	yes	characteristic
166	C₂×D₁₇₃	—	2	2	no	—
167	C₂×D₁₇₃	—	2	1	no	—
168	C₂×D₁₇₃	—	2	4	no	—
169	C₂×D₁₇₃	—	2	4	no	—
170	C₂×D₁₇₃	—	2	4	no	—
171	C₂×D₁₇₃	—	2	2	no	—
172	C₂×D₁₇₃	—	4	4	no	—
173	C₂×D₁₇₃	C₂×#41	1	2	yes	—
174	C₄×C₁₇₃	—	2	1	no	—
175	C₄×C₁₇₃	—	2	4	no	—
176	C₄×C₁₇₃	—	2	2	no	—
177	C₄×C₁₇₃	—	2	2	no	—
178	C₄×C₁₇₃	—	2	4	no	—
179	C₄×C₁₇₃	C₂×#41	1	2	yes	—
180	Dic₁₇₃	—	2	1	no	—
181	Dic₁₇₃	—	2	2	no	—
182	Dic₁₇₃	—	2	4	no	—
183	Dic₁₇₃	—	2	2	no	—
184	Dic₁₇₃	C₂×#41	1	2	yes	—
185	C₂×C₁₇₃	—	4	1	no	—
186	C₂×C₁₇₃	C₂²×#41	1	1	yes	characteristic
187	C₂×C₁₇₃	#585	1	2	yes	—
188	D₁₇₃	—	2	2	no	—
189	D₁₇₃	—	4	4	no	—
190	D₁₇₃	—	4	1	no	—
191	C₁₇₃	#3455	1	1	yes	characteristic, complemented, Sylow
192	#3455	—	173	1	no	maximal, Sylow
193	#542	—	173	2	no	—
194	#542	—	173	2	no	—
195	#541	—	173	1	no	—
196	#541	D₁₇₃	1	1	yes	characteristic, complemented
197	#540	—	173	1	no	—
198	#540	—	173	1	no	—
199	#539	—	173	4	no	—
200	#538	—	173	4	no	—
201	#533	—	173	1	no	—
202	#532	—	173	1	no	—
203	#529	—	173	4	no	—
204	#529	—	173	4	no	—
205	#525	—	173	2	no	—
206	C₄×#41	—	173	2	no	—
207	C₂×#117	—	173	1	no	—
208	C₂×#41	—	173	2	no	—
209	C₂³×C₄	—	173	1	no	—
210	C₄⋊Q₈	—	173	2	no	—
211	C₄⋊Q₈	C₂×D₁₇₃	1	1	yes	characteristic, complemented
212	#127	—	173	1	no	—
213	#126	—	173	4	no	—
214	#126	—	173	4	no	—
215	#126	—	173	4	no	—
216	#126	C₂×D₁₇₃	1	4	yes	—
217	#125	—	173	4	no	—
218	#125	—	173	1	no	—
219	#125	C₂×D₁₇₃	1	4	yes	complemented
220	#125	C₂×D₁₇₃	1	1	yes	characteristic, complemented
221	#124	—	173	2	no	—
222	#124	—	173	4	no	—
223	#124	—	173	4	no	—
224	#123	—	173	4	no	—
225	#123	—	173	4	no	—
226	#123	—	173	4	no	—
227	#123	—	173	4	no	—
228	#123	—	173	4	no	—
229	C₂²⋊Q₈	—	173	2	no	—
230	C₂²⋊Q₈	—	173	4	no	—
231	C₂²⋊Q₈	—	173	4	no	—
232	C₂²⋊Q₈	—	173	4	no	—
233	C₂²⋊Q₈	C₂×D₁₇₃	1	2	yes	—
234	#121	—	173	2	no	—
235	#121	—	173	2	no	—
236	#121	—	173	4	no	—
237	#121	—	173	4	no	—
238	#121	—	173	4	no	—
239	#120	—	173	4	no	—
240	C₄×Q₈	—	173	2	no	—
241	C₄×Q₈	—	173	4	no	—
242	C₄×Q₈	C₂×D₁₇₃	1	2	yes	complemented
243	C₄×D₄	—	173	4	no	—
244	C₄×D₄	—	173	2	no	—
245	C₄×D₄	—	173	4	no	—
246	C₄×D₄	—	173	4	no	—
247	C₄×D₄	—	173	4	no	—
248	C₄×D₄	—	173	4	no	—
249	C₄×D₄	—	173	2	no	—
250	#117	—	173	1	no	—
251	#117	—	173	2	no	—
252	#117	—	173	2	no	—
253	#117	—	173	4	no	—
254	#117	—	173	2	no	—
255	#117	—	173	1	no	—
256	#117	—	173	1	no	—
257	#117	C₂×D₁₇₃	1	1	yes	characteristic
258	C₂×C₄⋊C₄	—	173	2	no	—
259	C₂×C₂²⋊C₄	—	173	2	no	—
260	C₂×C₄²	—	173	1	no	—
261	C₂×C₄²	—	173	1	no	—
262	C₂×C₄²	—	173	4	no	—
263	C₂⁴	—	173	1	no	—
264	#41	—	346	8	no	—
265	C₂×Q₈	—	173	4	no	—
266	C₂×Q₈	C₂²×D₁₇₃	1	2	yes	—
267	C₂×D₄	—	173	4	no	—
268	C₂×D₄	—	173	4	no	—
269	C₂×D₄	—	173	2	no	—
270	C₂×D₄	—	173	4	no	—
271	C₂×D₄	—	173	4	no	—
272	C₂²×C₄	—	346	4	no	—
273	C₂²×C₄	—	173	1	no	—
274	C₂²×C₄	—	173	4	no	—
275	C₂²×C₄	—	173	1	no	—
276	C₂²×C₄	—	173	1	no	—
277	C₂²×C₄	—	173	1	no	—
278	C₂²×C₄	—	173	1	no	—
279	C₂²×C₄	—	173	2	no	—
280	C₂²×C₄	—	173	2	no	—
281	C₂²×C₄	—	173	4	no	—
282	C₂²×C₄	—	173	4	no	—
283	C₂²×C₄	C₂²×D₁₇₃	1	1	yes	characteristic
284	C₄⋊C₄	—	173	2	no	—
285	C₄⋊C₄	—	173	2	no	—
286	C₄⋊C₄	—	173	2	no	—
287	C₄⋊C₄	—	173	2	no	—
288	C₄⋊C₄	—	173	4	no	—
289	C₄⋊C₄	—	173	4	no	—
290	C₄⋊C₄	—	173	4	no	—
291	C₄⋊C₄	—	173	4	no	—
292	C₄⋊C₄	C₂²×D₁₇₃	1	2	yes	—
293	C₄⋊C₄	C₂²×D₁₇₃	1	2	yes	—
294	C₄⋊C₄	C₂²×D₁₇₃	1	4	yes	—
295	C₄⋊C₄	C₂²×D₁₇₃	1	4	yes	—
296	C₄⋊C₄	C₂²×D₁₇₃	1	4	yes	—
297	C₄⋊C₄	C₂²×D₁₇₃	1	4	yes	—
298	C₂²⋊C₄	—	173	2	no	—
299	C₂²⋊C₄	—	173	2	no	—
300	C₂²⋊C₄	—	173	2	no	—
301	C₂²⋊C₄	—	173	4	no	—
302	C₂²⋊C₄	—	173	4	no	—
303	C₂²⋊C₄	—	173	4	no	—
304	C₂²⋊C₄	—	173	4	no	—
305	C₂²⋊C₄	—	173	4	no	—
306	C₂²⋊C₄	—	173	4	no	—
307	C₂²⋊C₄	—	173	4	no	—
308	C₂²⋊C₄	—	173	4	no	—
309	C₂²⋊C₄	C₂²×D₁₇₃	1	2	yes	—
310	C₂²⋊C₄	C₂²×D₁₇₃	1	4	yes	—
311	C₄²	—	173	2	no	—
312	C₄²	—	173	1	no	—
313	C₄²	—	173	2	no	—
314	C₄²	—	173	4	no	—
315	C₄²	—	173	1	no	—
316	C₄²	—	173	4	no	—
317	C₄²	C₂²×D₁₇₃	1	1	yes	characteristic
318	C₄²	C₂²×D₁₇₃	1	1	yes	characteristic
319	C₄²	C₂²×D₁₇₃	1	4	yes	—
320	C₂³	—	346	2	no	—
321	C₂³	—	173	1	no	—
322	C₂³	—	173	4	no	—
323	C₂³	—	173	1	no	—
324	C₂³	—	692	2	no	—
325	C₂³	C₂³×D₁₇₃	1	1	yes	characteristic
326	Q₈	—	2	4	no	—
327	Q₈	—	692	4	no	—
328	D₄	—	346	8	no	—
329	D₄	—	346	4	no	—
330	D₄	—	692	4	no	—
331	D₄	—	692	4	no	—
332	D₄	—	692	4	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	346	2	no	—
335	C₂×C₄	—	346	2	no	—
336	C₂×C₄	—	346	8	no	—
337	C₂×C₄	—	346	2	no	—
338	C₂×C₄	—	346	2	no	—
339	C₂×C₄	—	173	2	no	—
340	C₂×C₄	—	173	2	no	—
341	C₂×C₄	—	173	4	no	—
342	C₂×C₄	—	173	1	no	—
343	C₂×C₄	—	173	1	no	—
344	C₂×C₄	—	173	4	no	—
345	C₂×C₄	—	692	2	no	—
346	C₂×C₄	—	692	4	no	—
347	C₂×C₄	—	692	2	no	—
348	C₂×C₄	—	692	4	no	—
349	C₂×C₄	C₂³×D₁₇₃	1	2	yes	—
350	C₂×C₄	C₂³×D₁₇₃	1	4	yes	—
351	C₂×C₄	C₂³×D₁₇₃	1	4	yes	—
352	C₂×C₄	C₂³×D₁₇₃	1	2	yes	—
353	C₂×C₄	C₂³×D₁₇₃	1	1	yes	characteristic
354	C₂×C₄	C₂³×D₁₇₃	1	1	yes	characteristic
355	C₂²	—	2	1	no	—
356	C₂²	—	2	2	no	—
357	C₂²	—	346	2	no	—
358	C₂²	—	346	1	no	—
359	C₂²	—	346	4	no	—
360	C₂²	—	346	4	no	—
361	C₂²	—	346	4	no	—
362	C₂²	—	346	2	no	—
363	C₂²	—	173	2	no	—
364	C₂²	—	692	4	no	—
365	C₂²	C₂⁴×D₁₇₃	1	1	yes	characteristic
366	C₄	—	2	1	no	—
367	C₄	—	2	4	no	—
368	C₄	—	2	2	no	—
369	C₄	—	2	2	no	—
370	C₄	—	2	4	no	—
371	C₄	—	346	1	no	—
372	C₄	—	346	2	no	—
373	C₄	—	346	4	no	—
374	C₄	—	346	2	no	—
375	C₄	—	173	2	no	—
376	C₄	#41×D₁₇₃	1	2	yes	—
377	C₂	—	4	1	no	—
378	C₂	—	346	2	no	—
379	C₂	—	692	4	no	—
380	C₂	—	692	1	no	—
381	C₂	C₂×#41×D₁₇₃	1	1	yes	characteristic
382	C₂	#26012328	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₇₃
commutator, socle, cosocle	C₂²×C₁₇₃	C₂⁵
Fitting	#541×C₁₇₃	C₂
hypercenter	#541	D₁₇₃
hypocenter	C₁₇₃	#3455
LCS	G ▷ C₂²×C₁₇₃ ▷ C₁₇₃
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
1. #26012114	C₂	semidirect
2. #26012113	C₂	semidirect
3. #26012102	C₂	semidirect
4. #26012097	C₂	semidirect
5. #26012096	C₂	semidirect
6. #26012089	C₂	semidirect
7. #26012080	C₂	semidirect
8. #26012047	C₂	semidirect
9. #26012042	C₂	semidirect
10. #26012026	C₂	semidirect
11. #26012024	C₂	semidirect
12. #26012004	C₂	semidirect
13. C₄×#14583827	C₂	semidirect
14. #117×D₁₇₃	C₂	semidirect
15. #541×C₁₇₃	C₂	semidirect
18. #19149678	C₂²	semidirect
19. #19149676	C₂²	semidirect
21. #19149674	C₂²	semidirect
22. #19149673	C₂²	semidirect
23. #19149671	C₂²	semidirect
24. #19149669	C₂²	semidirect
25. #19149668	C₂²	semidirect
30. #19149664	C₂²	semidirect
31. #19149664	C₂²	semidirect
33. #19149659	C₂²	semidirect
35. #19149657	C₂²	semidirect
43. Q₈×Dic₁₇₃	C₂²	semidirect
44. #19149644	C₂²	semidirect
46. C₄×D₆₉₂	C₂²	semidirect
49. #19149641	C₂²	semidirect
50. #19149641	C₂²	semidirect
55. #19149637	C₂²	semidirect
63. C₄²×D₁₇₃	C₂²	semidirect
64. C₄⋊Q₈×C₁₇₃	C₂²	semidirect
66. #125×C₁₇₃	C₂²	semidirect
67. #125×C₁₇₃	C₂²	semidirect
69. C₄×Q₈×C₁₇₃	C₂²	semidirect
191. C₁₇₃	#3455	semidirect
196. #541	D₁₇₃	semidirect
211. C₄⋊Q₈	C₂×D₁₇₃	semidirect
219. #125	C₂×D₁₇₃	semidirect
220. #125	C₂×D₁₇₃	semidirect
242. C₄×Q₈	C₂×D₁₇₃	semidirect

Maximal subgroups

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

subgroup	index
#26012114	2
#26012113	2
#26012102	2
#26012097	2
#26012096	2
#26012089	2
#26012080	2
#26012047	2
#26012042	2
#26012026	2
#26012024	2
#26012004	2
C₄×#14583827	2
#117×D₁₇₃	2
#541×C₁₇₃	2
#3455	173