Subgroups — #34020268

Order 18688.

1126 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17989597	C₂	1	1	yes	maximal, characteristic
2	C₂²×#14556659	C₂	1	1	yes	maximal, characteristic
3	#22626368	C₂	1	2	yes	maximal
4	#22625745	C₂	1	4	yes	maximal, complemented
5	C₄×#14556659	C₂	1	4	yes	maximal, complemented
6	#22625619	C₂	1	2	yes	maximal
7	#405×D₇₃	C₂	1	1	yes	maximal, characteristic
8	C₂×#14556670	C₂²	1	2	yes	—
9	C₂²×C₄⋊#64408	C₂²	1	2	yes	—
10	#17989597	C₄	1	8	yes	complemented
11	C₂×#14556660	C₂²	1	2	yes	—
12	C₂×#14556659	C₄	1	8	yes	complemented
13	C₂×#14556659	C₂²	1	2	yes	—
14	C₂×#14556659	C₂²	1	2	yes	—
15	C₂×#14556659	C₂²	1	2	yes	—
16	C₄⋊C₄×#64408	—	2	4	no	—
17	C₄×C₄⋊#64408	C₂²	1	8	yes	—
18	C₂²⋊C₄×#64408	—	2	4	no	—
19	#17989461	C₂²	1	8	yes	—
20	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
21	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
22	#117×D₇₃	C₂²	1	1	yes	characteristic
23	#17988545	C₄	1	1	yes	characteristic, complemented
24	#17988544	C₄	1	2	yes	complemented
25	#17988543	C₄	1	1	yes	characteristic, complemented
26	#17988542	C₄	1	1	yes	characteristic, complemented
27	#17988541	C₄	1	2	yes	complemented
28	#97×D₇₃	C₂²	1	2	yes	—
29	C₄×C₈×D₇₃	C₂²	1	2	yes	—
30	#405×C₇₃	C₄	1	1	yes	characteristic, complemented
31	C₂³×#64408	—	2	2	no	—
32	#14556670	—	2	4	no	—
33	#14556670	C₂×C₄	1	8	yes	—
34	C₂×C₄⋊#64408	—	2	2	no	—
35	C₂×C₄⋊#64408	—	2	4	no	—
36	C₂×C₄⋊#64408	C₂×C₄	1	8	yes	—
37	C₂×C₄⋊#64408	C₂³	1	4	yes	—
38	C₂×C₄⋊#64408	C₂³	1	4	yes	—
39	C₂×C₂²⋊#64408	—	2	2	no	—
40	C₂×C₄×#64408	—	2	2	no	—
41	C₂×C₄×#64408	—	2	8	no	—
42	#14556660	C₂×C₄	1	8	yes	complemented
43	#14556659	C₂×C₄	1	8	yes	—
44	#14556659	C₂×C₄	1	8	yes	—
45	#14556659	C₂×C₄	1	8	yes	complemented
46	(C₂×#64408)⋊C₄	—	2	8	no	—
47	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
48	C₂×#11924012	C₂×C₄	1	1	yes	characteristic
49	C₂×#11924011	C₂×C₄	1	2	yes	—
50	M₁₆×D₇₃	—	2	2	no	—
51	M₁₆×D₇₃	—	2	2	no	—
52	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
53	C₂×C₈×D₇₃	C₂×C₄	1	4	yes	—
54	C₂×C₈×D₇₃	C₂×C₄	1	4	yes	—
55	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
57	C₂×C₈×D₇₃	C₂³	1	2	yes	—
58	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
59	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
60	#14556550	C₂×C₄	1	1	yes	characteristic
61	#14556549	Q₈	1	2	yes	—
62	#14556548	C₂×C₄	1	2	yes	—
63	#14556547	Q₈	1	2	yes	—
64	C₄⋊C₄×D₇₃	D₄	1	2	yes	—
65	C₂²⋊C₄×D₇₃	D₄	1	2	yes	—
66	C₄²×D₇₃	C₂³	1	2	yes	—
67	#14556502	C₂×C₄	1	2	yes	complemented
68	#14556501	C₂×C₄	1	2	yes	complemented
69	#14556501	C₂×C₄	1	2	yes	complemented
70	C₄×#10596831	C₂×C₄	1	2	yes	complemented
71	C₈×Dic₇₃	C₂×C₄	1	2	yes	complemented
72	C₈×Dic₇₃	C₂×C₄	1	2	yes	complemented
73	C₂×M₁₆×C₇₃	C₂×C₄	1	1	yes	characteristic
74	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
75	#117×C₇₃	C₂×C₄	1	1	yes	characteristic
76	#97×C₇₃	C₂×C₄	1	2	yes	complemented
77	C₄×C₈×C₇₃	C₂×C₄	1	2	yes	complemented
78	C₂²×#64408	—	2	4	no	—
79	C₂²×#64408	—	2	4	no	—
80	C₂²×#64408	—	2	8	no	—
81	C₂²×#64408	—	8	4	no	—
82	C₄⋊#64408	—	2	8	no	—
83	C₄⋊#64408	—	2	4	no	—
84	C₄⋊#64408	—	2	4	no	—
85	C₄⋊#64408	C₂²×C₄	1	8	yes	—
86	C₄⋊#64408	C₂²×C₄	1	8	yes	—
87	C₂²⋊#64408	—	2	8	no	—
88	C₄×#64408	—	2	8	no	—
89	C₄×#64408	—	8	8	no	—
90	C₂³×D₇₃	C₂×D₄	1	1	yes	characteristic
91	C₂²×Dic₇₃	C₂×Q₈	1	1	yes	characteristic
92	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
94	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
95	C₂×C₄×D₇₃	C₂×D₄	1	4	yes	—
96	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
97	C₂×C₄×D₇₃	C₂×Q₈	1	1	yes	characteristic
98	C₂×C₄×D₇₃	#41	1	2	yes	—
99	C₂×C₄×D₇₃	#41	1	2	yes	—
100	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
101	#11924012	—	2	2	no	—
102	#11924011	—	2	4	no	—
103	C₂×#10596831	C₄²	1	4	yes	complemented
104	C₂×#10596831	C₂²×C₄	1	2	yes	—
105	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
106	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
107	C₈×D₇₃	—	2	2	no	—
108	C₈×D₇₃	—	2	2	no	—
109	C₈×D₇₃	C₄²	1	4	yes	complemented
110	C₈×D₇₃	C₄²	1	4	yes	complemented
111	C₈×D₇₃	C₂²×C₄	1	2	yes	—
112	C₈×D₇₃	C₂²×C₄	1	2	yes	—
113	C₈×D₇₃	C₂²×C₄	1	2	yes	—
114	C₈×D₇₃	C₂²×C₄	1	2	yes	—
115	C₄⋊Dic₇₃	C₄⋊C₄	1	2	yes	—
116	#11924007	C₄⋊C₄	1	4	yes	—
117	C₂²⋊Dic₇₃	C₄⋊C₄	1	2	yes	—
118	#11924005	C₄⋊C₄	1	4	yes	—
119	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
120	C₄×Dic₇₃	C₂×Q₈	1	4	yes	—
121	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
122	M₁₆×C₇₃	—	2	2	no	—
123	C₂×C₈×C₇₃	C₄²	1	4	yes	complemented
124	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
125	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
126	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
127	C₄⋊C₄×C₇₃	C₄⋊C₄	1	2	yes	—
128	C₂²⋊C₄×C₇₃	C₄⋊C₄	1	2	yes	—
129	C₄²×C₇₃	C₂²×C₄	1	2	yes	—
130	C₂³×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
131	C₂²×D₇₃	—	2	4	no	—
132	C₂²×D₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
133	C₂²×D₇₃	C₄×D₄	1	2	yes	—
134	C₂²×D₇₃	C₄×D₄	1	2	yes	—
135	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
136	C₂×#64408	—	2	8	no	—
137	C₂×#64408	—	2	8	no	—
138	C₂×#64408	—	4	4	no	—
139	C₂×#64408	—	4	8	no	—
140	C₂×#64408	—	4	4	no	—
141	C₂×#64408	—	8	8	no	—
142	C₂×C₄×C₇₃	C₂×C₄²	1	2	yes	—
143	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	4	yes	—
144	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
145	C₂×C₄×C₇₃	#117	1	2	yes	—
146	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
147	C₂×Dic₇₃	C₂×C₄⋊C₄	1	4	yes	—
148	C₂×Dic₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
149	C₂×Dic₇₃	C₄×Q₈	1	2	yes	—
150	C₂×Dic₇₃	C₄×Q₈	1	2	yes	—
151	C₂×Dic₇₃	C₂²×Q₈	1	1	yes	characteristic
152	C₄×D₇₃	—	2	8	no	—
153	C₄×D₇₃	C₂×C₄²	1	2	yes	—
154	C₄×D₇₃	#117	1	2	yes	—
155	C₄×D₇₃	C₄×D₄	1	2	yes	—
156	C₄×D₇₃	C₄×D₄	1	2	yes	—
157	C₄×D₇₃	C₄×Q₈	1	2	yes	—
158	C₄×D₇₃	C₄×Q₈	1	2	yes	—
159	C₄×D₇₃	C₂³×C₄	1	1	yes	characteristic
160	C₄×D₇₃	C₂³×C₄	1	1	yes	characteristic
161	C₄×D₇₃	C₂×#41	1	1	yes	characteristic
162	C₄×D₇₃	C₂×#41	1	1	yes	characteristic
163	C₈×C₇₃	—	2	2	no	—
164	C₈×C₇₃	C₂×C₄²	1	2	yes	—
165	C₈×C₇₃	C₂×C₄²	1	2	yes	—
166	#10596831	—	2	2	no	—
167	#10596831	C₂×C₄²	1	2	yes	—
168	#10596831	C₂×C₄²	1	2	yes	—
169	C₂²×C₇₃	—	2	2	no	—
170	C₂²×C₇₃	C₄×C₄⋊C₄	1	2	yes	—
171	C₂²×C₇₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
172	C₂×D₇₃	—	2	2	no	—
173	C₂×D₇₃	—	2	4	no	—
174	C₂×D₇₃	—	2	4	no	—
175	C₂×D₇₃	C₄×C₄⋊C₄	1	2	yes	—
176	C₂×D₇₃	C₂×C₄×D₄	1	1	yes	characteristic
177	C₂×D₇₃	C₂×C₄×D₄	1	1	yes	characteristic
178	C₂×D₇₃	#577	1	4	yes	—
179	#64408	—	4	8	no	—
180	#64408	—	4	8	no	—
181	C₄×C₇₃	—	2	4	no	—
182	C₄×C₇₃	C₄×C₄⋊C₄	1	2	yes	—
183	C₄×C₇₃	C₂²×C₄²	1	1	yes	characteristic
184	C₄×C₇₃	C₂×#117	1	1	yes	characteristic
185	Dic₇₃	—	2	4	no	—
186	Dic₇₃	C₄×C₄⋊C₄	1	2	yes	—
187	Dic₇₃	C₂×C₄×Q₈	1	1	yes	characteristic
188	Dic₇₃	C₂×C₄×Q₈	1	1	yes	characteristic
189	#20454	—	73	1	no	maximal, Sylow
190	C₂×C₇₃	—	2	2	no	—
191	C₂×C₇₃	C₂×C₄×C₄⋊C₄	1	1	yes	characteristic
192	C₂×C₇₃	#2912	1	2	yes	—
193	D₇₃	—	2	2	no	—
194	D₇₃	#2949	1	2	yes	—
195	D₇₃	#2952	1	2	yes	—
196	C₂×#427	—	73	1	no	—
197	C₂²×#106	—	73	1	no	—
198	C₂×#405	—	73	1	no	—
199	#2274	—	73	2	no	—
200	#1776	—	73	4	no	—
201	C₄×#106	—	73	4	no	—
202	#1736	—	73	2	no	—
203	C₇₃	#20454	1	1	yes	characteristic, complemented, Sylow
204	C₂²×M₁₆	—	73	1	no	—
205	C₂³×C₈	—	73	1	no	—
206	C₂×#117	—	73	1	no	—
207	C₂×#117	—	73	2	no	—
208	C₂²×C₄⋊C₄	—	73	2	no	—
209	#427	—	73	8	no	—
210	C₂×#107	—	73	2	no	—
211	C₂×#106	—	73	8	no	—
212	C₂×#106	—	73	2	no	—
213	C₂×#106	—	73	2	no	—
214	C₂×#106	—	73	2	no	—
215	#405	—	73	1	no	—
216	#405	—	73	1	no	—
217	#405	—	73	1	no	—
218	#405	—	73	2	no	—
219	#405	—	73	2	no	—
220	#405	#64408	1	1	yes	characteristic, complemented
221	C₂×#97	—	73	2	no	—
222	C₂×C₄×C₈	—	73	2	no	—
223	C₄×C₄⋊C₄	—	73	8	no	—
224	C₄×C₄⋊C₄	—	146	4	no	—
225	C₄×C₂²⋊C₄	—	146	4	no	—
226	#340	—	73	8	no	—
227	C₂³×C₄	—	73	1	no	—
228	C₂³×C₄	—	146	2	no	—
229	C₂×M₁₆	—	73	1	no	—
230	C₂×M₁₆	—	73	2	no	—
231	C₂×M₁₆	—	146	2	no	—
232	C₂×M₁₆	—	146	2	no	—
233	C₂×M₁₆	C₂×#64408	1	1	yes	characteristic
234	C₂²×C₈	—	73	1	no	—
235	C₂²×C₈	—	73	4	no	—
236	C₂²×C₈	—	73	4	no	—
237	C₂²×C₈	—	73	1	no	—
238	C₂²×C₈	—	73	1	no	—
239	C₂²×C₈	—	73	1	no	—
240	C₂²×C₈	—	73	1	no	—
241	C₂²×C₈	—	73	2	no	—
242	C₂²×C₈	C₂×#64408	1	1	yes	characteristic
243	#117	—	73	1	no	—
244	#117	—	73	2	no	—
245	#117	—	73	2	no	—
246	#117	—	73	2	no	—
247	#117	—	73	8	no	—
248	#117	—	146	4	no	—
249	#117	C₂×#64408	1	1	yes	characteristic
250	C₂×C₄⋊C₄	—	73	2	no	—
251	C₂×C₄⋊C₄	—	73	4	no	—
252	C₂×C₄⋊C₄	—	73	8	no	—
253	C₂×C₄⋊C₄	—	73	4	no	—
254	C₂×C₄⋊C₄	—	146	2	no	—
255	C₂×C₄⋊C₄	—	146	4	no	—
256	C₂×C₂²⋊C₄	—	73	2	no	—
257	C₂×C₂²⋊C₄	—	146	2	no	—
258	C₂×C₄²	—	73	2	no	—
259	C₂×C₄²	—	146	8	no	—
260	C₂×C₄²	—	146	2	no	—
261	#107	—	73	8	no	—
262	#106	—	73	8	no	—
263	#106	—	73	8	no	—
264	#106	—	73	8	no	—
265	#97	—	73	2	no	—
266	#97	—	73	2	no	—
267	#97	—	73	2	no	—
268	#97	C₂×#64408	1	2	yes	complemented
269	C₄×C₈	—	73	2	no	—
270	C₄×C₈	—	73	2	no	—
271	C₄×C₈	—	73	2	no	—
272	C₄×C₈	C₂×#64408	1	2	yes	complemented
273	#95	—	146	8	no	—
274	C₂⁴	—	73	1	no	—
275	C₂²×C₄	—	584	4	no	—
276	C₂²×C₄	—	73	1	no	—
277	C₂²×C₄	—	73	1	no	—
278	C₂²×C₄	—	73	1	no	—
279	C₂²×C₄	—	73	2	no	—
280	C₂²×C₄	—	73	2	no	—
281	C₂²×C₄	—	73	1	no	—
282	C₂²×C₄	—	73	1	no	—
283	C₂²×C₄	—	73	2	no	—
284	C₂²×C₄	—	73	2	no	—
285	C₂²×C₄	—	73	4	no	—
286	C₂²×C₄	—	146	4	no	—
287	C₂²×C₄	—	146	4	no	—
288	C₂²×C₄	—	146	8	no	—
289	C₂²×C₄	C₂²×#64408	1	1	yes	characteristic
290	M₁₆	—	2	2	no	—
291	M₁₆	—	146	4	no	—
292	M₁₆	—	146	2	no	—
293	C₂×C₈	—	73	1	no	—
294	C₂×C₈	—	73	1	no	—
295	C₂×C₈	—	73	4	no	—
296	C₂×C₈	—	73	4	no	—
297	C₂×C₈	—	73	4	no	—
298	C₂×C₈	—	73	2	no	—
299	C₂×C₈	—	73	2	no	—
300	C₂×C₈	—	73	2	no	—
301	C₂×C₈	—	73	2	no	—
302	C₂×C₈	—	73	2	no	—
303	C₂×C₈	—	146	2	no	—
304	C₂×C₈	—	146	2	no	—
305	C₂×C₈	C₄×#64408	1	4	yes	complemented
306	C₂×C₈	C₂²×#64408	1	2	yes	—
307	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
308	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
309	C₄⋊C₄	—	73	4	no	—
310	C₄⋊C₄	—	73	2	no	—
311	C₄⋊C₄	—	73	8	no	—
312	C₄⋊C₄	—	73	8	no	—
313	C₄⋊C₄	—	146	4	no	—
314	C₄⋊C₄	—	146	8	no	—
315	C₄⋊C₄	—	146	4	no	—
316	C₄⋊C₄	C₄⋊#64408	1	2	yes	—
317	C₂²⋊C₄	—	73	2	no	—
318	C₂²⋊C₄	—	73	4	no	—
319	C₂²⋊C₄	—	146	8	no	—
320	C₂²⋊C₄	C₄⋊#64408	1	2	yes	—
321	C₄²	—	584	8	no	—
322	C₄²	—	73	2	no	—
323	C₄²	—	73	4	no	—
324	C₄²	—	146	8	no	—
325	C₄²	C₂²×#64408	1	2	yes	—
326	C₂³	—	73	1	no	—
327	C₂³	—	73	1	no	—
328	C₂³	—	73	2	no	—
329	C₂³	—	73	2	no	—
330	C₂³	—	146	4	no	—
331	C₂³	C₂×C₄⋊#64408	1	1	yes	characteristic
332	C₂×C₄	—	292	4	no	—
333	C₂×C₄	—	292	8	no	—
334	C₂×C₄	—	292	4	no	—
335	C₂×C₄	—	584	8	no	—
336	C₂×C₄	—	73	1	no	—
337	C₂×C₄	—	73	1	no	—
338	C₂×C₄	—	73	2	no	—
339	C₂×C₄	—	73	2	no	—
340	C₂×C₄	—	73	1	no	—
341	C₂×C₄	—	73	1	no	—
342	C₂×C₄	—	73	2	no	—
343	C₂×C₄	—	73	1	no	—
344	C₂×C₄	—	73	1	no	—
345	C₂×C₄	—	73	2	no	—
346	C₂×C₄	—	73	2	no	—
347	C₂×C₄	—	73	2	no	—
348	C₂×C₄	—	73	2	no	—
349	C₂×C₄	—	73	2	no	—
350	C₂×C₄	—	73	4	no	—
351	C₂×C₄	—	146	8	no	—
352	C₂×C₄	—	146	8	no	—
353	C₂×C₄	—	146	8	no	—
354	C₂×C₄	C₂×C₄×#64408	1	2	yes	—
355	C₂×C₄	C₂×C₄⋊#64408	1	4	yes	—
356	C₂×C₄	C₂×C₄⋊#64408	1	1	yes	characteristic
357	C₂×C₄	#14556670	1	2	yes	—
358	C₂×C₄	C₂³×#64408	1	1	yes	characteristic
359	C₈	—	2	2	no	—
360	C₈	—	73	2	no	—
361	C₈	—	73	2	no	—
362	C₈	—	146	2	no	—
363	C₈	C₂×C₄×#64408	1	2	yes	—
364	C₈	C₂×C₄×#64408	1	2	yes	—
365	C₂²	—	2	2	no	—
366	C₂²	—	73	4	no	—
367	C₂²	—	73	1	no	—
368	C₂²	—	73	1	no	—
369	C₂²	—	73	2	no	—
370	C₂²	—	146	4	no	—
371	C₂²	—	146	4	no	—
372	C₂²	—	146	2	no	—
373	C₂²	C₄×C₄⋊#64408	1	2	yes	—
374	C₂²	C₂²×C₄⋊#64408	1	1	yes	characteristic
375	C₄	—	2	4	no	—
376	C₄	—	292	8	no	—
377	C₄	—	292	8	no	—
378	C₄	—	73	1	no	—
379	C₄	—	73	1	no	—
380	C₄	—	73	2	no	—
381	C₄	—	146	4	no	—
382	C₄	C₄×C₄⋊#64408	1	2	yes	—
383	C₄	C₂²×C₄×#64408	1	1	yes	characteristic
384	C₄	C₂×#14556670	1	1	yes	characteristic
385	C₂	—	2	2	no	—
386	C₂	—	73	2	no	—
387	C₂	—	73	2	no	—
388	C₂	—	146	2	no	—
389	C₂	C₂×C₄×C₄⋊#64408	1	1	yes	characteristic
390	C₂	#22626585	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×C₄⋊#64408
commutator	C₄×C₇₃	C₂²×C₄²
Frattini	C₂×C₄	C₂³×#64408
Fitting	#405×C₇₃	C₄
socle	C₂²×C₇₃	C₂²×C₄⋊C₄
prime radical	C₂³×D₇₃	C₂×D₄
cosocle	C₂×C₄×D₇₃	C₂⁴
hypercenter	#405	#64408
hypocenter	C₇₃	#20454
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #405

Complements

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

N	H ≅ G/N	type
4. #22625745	C₂	semidirect
5. C₄×#14556659	C₂	semidirect
10. #17989597	C₄	semidirect
12. C₂×#14556659	C₄	semidirect
23. #17988545	C₄	semidirect
24. #17988544	C₄	semidirect
25. #17988543	C₄	semidirect
26. #17988542	C₄	semidirect
27. #17988541	C₄	semidirect
30. #405×C₇₃	C₄	semidirect
42. #14556660	C₂×C₄	semidirect
45. #14556659	C₂×C₄	semidirect
67. #14556502	C₂×C₄	semidirect
68. #14556501	C₂×C₄	semidirect
69. #14556501	C₂×C₄	semidirect
70. C₄×#10596831	C₂×C₄	semidirect
71. C₈×Dic₇₃	C₂×C₄	semidirect
72. C₈×Dic₇₃	C₂×C₄	semidirect
76. #97×C₇₃	C₂×C₄	semidirect
77. C₄×C₈×C₇₃	C₂×C₄	semidirect
103. C₂×#10596831	C₄²	semidirect
109. C₈×D₇₃	C₄²	semidirect
110. C₈×D₇₃	C₄²	semidirect
123. C₂×C₈×C₇₃	C₄²	semidirect
203. C₇₃	#20454	semidirect
220. #405	#64408	semidirect
268. #97	C₂×#64408	semidirect
272. C₄×C₈	C₂×#64408	semidirect
305. C₂×C₈	C₄×#64408	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17989597	2
C₂²×#14556659	2
#22626368	2
#22625745	2
C₄×#14556659	2
#22625619	2
#405×D₇₃	2
#20454	73