Subgroups — #22626413

Order 9344.

568 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	#17989537	C₂	1	2	yes	maximal, complemented
2	#17989536	C₂	1	2	yes	maximal, complemented
3	#17989535	C₂	1	2	yes	maximal
4	#17989534	C₂	1	2	yes	maximal, complemented
5	#17989532	C₂	1	1	yes	maximal, characteristic, complemented
6	#17989531	C₂	1	1	yes	maximal, characteristic, complemented
7	#17989530	C₂	1	1	yes	maximal, characteristic, complemented
8	#17989529	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×C₂²⋊#64408	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×(C₂×#64408)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×D₄×D₇₃	C₂	1	1	yes	maximal, characteristic
12	C₂³×#64408	C₂²	1	2	yes	—
13	C₂×C₄⋊#64408	C₂²	1	2	yes	—
14	C₂×C₄⋊#64408	C₂²	1	2	yes	—
15	C₂×C₂²⋊#64408	C₂²	1	2	yes	—
16	C₂×C₂²⋊#64408	C₂²	1	2	yes	—
17	C₂×C₂²⋊#64408	C₂²	1	2	yes	—
18	C₂×C₄×#64408	C₂²	1	2	yes	—
19	(C₂×#64408)⋊C₄	C₂²	1	1	yes	characteristic
20	(C₂×#64408)⋊C₄	C₂²	1	1	yes	characteristic
21	(C₂×#64408)⋊C₄	C₂²	1	2	yes	—
22	(C₂×#64408)⋊C₄	C₂²	1	1	yes	characteristic
23	(C₂×#64408)⋊C₄	C₂²	1	1	yes	characteristic
24	(C₂×#64408)⋊C₄	C₂²	1	2	yes	—
25	(C₂×#64408)⋊C₄	C₂²	1	2	yes	—
26	(C₂×#64408)⋊C₄	C₂²	1	2	yes	—
27	(C₂×#64408)⋊C₄	C₂²	1	2	yes	—
28	C₂×D₄×D₇₃	C₂²	1	1	yes	characteristic
29	C₂²×C₄×D₇₃	C₂²	1	1	yes	characteristic
30	C₂²×C₄×D₇₃	C₂²	1	1	yes	characteristic
31	C₄×D₂₉₂	C₄	1	1	yes	characteristic, complemented
32	D₄×Dic₇₃	C₄	1	1	yes	characteristic, complemented
33	#14556553	C₄	1	1	yes	characteristic, complemented
34	C₄×C₂²⋊D₇₃	C₄	1	1	yes	characteristic, complemented
35	C₄×C₂²⋊D₇₃	C₄	1	1	yes	characteristic, complemented
36	#14556551	C₄	1	1	yes	characteristic, complemented
37	#14556551	C₄	1	1	yes	characteristic, complemented
38	C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
39	C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
40	C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
41	C₄²×D₇₃	C₂²	1	1	yes	characteristic
42	C₄×D₄×C₇₃	C₄	1	1	yes	characteristic, complemented
43	C₂²×#64408	—	2	4	no	—
44	C₂²×#64408	—	4	2	no	—
45	C₂²×#64408	—	4	2	no	—
46	C₂²×#64408	C₂³	1	2	yes	—
47	C₂²×#64408	C₂³	1	2	yes	—
48	C₂²×#64408	C₂³	1	2	yes	—
49	C₂²×#64408	C₂³	1	2	yes	—
50	C₄⋊#64408	—	4	2	no	—
51	C₄⋊#64408	—	4	2	no	—
52	C₂²⋊#64408	—	2	4	no	—
53	C₂²⋊#64408	—	4	2	no	—
54	C₂²⋊#64408	—	4	2	no	—
55	C₄×#64408	—	4	2	no	—
56	C₂³×D₇₃	C₂³	1	1	yes	characteristic
57	C₂³×D₇₃	C₂³	1	1	yes	characteristic
58	C₂×D₂₉₂	C₂×C₄	1	1	yes	characteristic
59	C₂×C₂²⋊D₇₃	C₂×C₄	1	1	yes	characteristic
60	C₂×C₂²⋊D₇₃	C₂×C₄	1	1	yes	characteristic
61	D₄×D₇₃	—	2	4	no	—
62	C₂²×Dic₇₃	C₂×C₄	1	1	yes	characteristic
63	C₂²×Dic₇₃	C₂×C₄	1	1	yes	characteristic, complemented
64	C₂×C₄×D₇₃	—	4	2	no	—
65	C₂×C₄×D₇₃	—	4	2	no	—
66	C₂×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
67	C₂×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
68	C₂×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic, complemented
69	C₂×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic, complemented
70	C₂×C₄×D₇₃	C₂³	1	1	yes	characteristic
71	C₂×C₄×D₇₃	C₂³	1	1	yes	characteristic
72	C₂×C₄×D₇₃	C₂³	1	1	yes	characteristic
73	C₂×C₄×D₇₃	C₂³	1	1	yes	characteristic
74	C₂×C₄×D₇₃	C₂³	1	1	yes	characteristic
75	C₄⋊Dic₇₃	C₂×C₄	1	1	yes	characteristic, complemented
76	#11924007	C₂×C₄	1	1	yes	characteristic, complemented
77	#11924007	C₂×C₄	1	1	yes	characteristic, complemented
78	C₂²⋊Dic₇₃	C₂×C₄	1	1	yes	characteristic
79	C₂²⋊Dic₇₃	C₂×C₄	1	1	yes	characteristic, complemented
80	#11924005	C₂×C₄	1	1	yes	characteristic
81	#11924005	C₂×C₄	1	1	yes	characteristic
82	#11924005	C₂×C₄	1	1	yes	characteristic, complemented
83	#11924005	C₂×C₄	1	1	yes	characteristic, complemented
84	C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic, complemented
85	C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic, complemented
86	C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic, complemented
87	C₂×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₇₃	C₂×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
90	C₄⋊C₄×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
91	C₂²⋊C₄×C₇₃	C₂×C₄	1	1	yes	characteristic
92	C₂²⋊C₄×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
93	C₄²×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
94	C₂³×C₇₃	C₂²×C₄	1	1	yes	characteristic
95	C₂³×C₇₃	C₂²×C₄	1	1	yes	characteristic
96	C₂²×D₇₃	—	2	2	no	—
97	C₂²×D₇₃	—	2	1	no	—
98	C₂²×D₇₃	—	2	1	no	—
99	C₂²×D₇₃	—	2	2	no	—
100	C₂²×D₇₃	—	2	2	no	—
101	C₂²×D₇₃	—	2	1	no	—
102	C₂²×D₇₃	—	2	1	no	—
103	C₂²×D₇₃	C₂²×C₄	1	1	yes	characteristic
104	C₂²×D₇₃	C₂²×C₄	1	1	yes	characteristic
105	C₂²×D₇₃	#41	1	4	yes	—
106	C₂²×D₇₃	C₂⁴	1	1	yes	characteristic
107	C₂×#64408	—	2	2	no	—
108	C₂×#64408	—	2	2	no	—
109	C₂×#64408	—	2	2	no	—
110	C₂×#64408	—	2	2	no	—
111	C₂×#64408	—	2	2	no	—
112	C₂×#64408	—	2	2	no	—
113	C₂×#64408	—	2	2	no	—
114	C₂×#64408	—	2	2	no	—
115	C₂×#64408	—	2	2	no	—
116	C₂×#64408	—	2	2	no	—
117	C₂×#64408	—	2	2	no	—
118	C₂×#64408	—	2	2	no	—
119	C₂×#64408	—	4	8	no	—
120	D₄×C₇₃	—	2	2	no	—
121	C₂×C₄×C₇₃	—	4	1	no	—
122	C₂×C₄×C₇₃	—	4	1	no	—
123	C₂×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
124	C₂×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
125	C₂×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
126	C₂×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
127	C₂×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
128	C₂²⋊D₇₃	—	2	2	no	—
129	C₂²⋊D₇₃	—	2	2	no	—
130	C₂×Dic₇₃	—	4	1	no	—
131	C₂×Dic₇₃	—	4	1	no	—
132	C₂×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
133	C₂×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
134	C₂×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
135	C₂×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
136	C₂×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
137	D₂₉₂	—	2	2	no	—
138	C₄×D₇₃	—	2	2	no	—
139	C₄×D₇₃	—	2	2	no	—
140	C₄×D₇₃	—	2	2	no	—
141	C₄×D₇₃	—	2	2	no	—
142	C₄×D₇₃	—	2	1	no	—
143	C₄×D₇₃	—	2	1	no	—
144	C₄×D₇₃	—	4	1	no	—
145	C₄×D₇₃	—	4	1	no	—
146	C₄×D₇₃	—	4	1	no	—
147	C₄×D₇₃	—	4	1	no	—
148	C₂²×C₇₃	—	2	1	no	—
149	C₂²×C₇₃	—	2	1	no	—
150	C₂²×C₇₃	—	2	1	no	—
151	C₂²×C₇₃	—	2	1	no	—
152	C₂²×C₇₃	—	2	1	no	—
153	C₂²×C₇₃	#117	1	2	yes	—
154	C₂²×C₇₃	C₂³×C₄	1	1	yes	characteristic
155	C₂×D₇₃	—	2	1	no	—
156	C₂×D₇₃	—	2	1	no	—
157	C₂×D₇₃	—	2	4	no	—
158	C₂×D₇₃	—	2	4	no	—
159	C₂×D₇₃	—	2	1	no	—
160	C₂×D₇₃	—	2	1	no	—
161	C₂×D₇₃	—	2	1	no	—
162	C₂×D₇₃	—	4	2	no	—
163	C₂×D₇₃	—	4	2	no	—
164	C₂×D₇₃	#117	1	2	yes	—
165	C₂×D₇₃	C₂×#41	1	2	yes	—
166	C₂×D₇₃	H(5,𝔽₂)	1	1	yes	characteristic
167	C₂×D₇₃	H(5,𝔽₂)	1	2	yes	—
168	C₂×D₇₃	2₋¹⁺⁴	1	1	yes	characteristic
169	#64408	—	4	2	no	—
170	#64408	—	4	2	no	—
171	#64408	—	4	2	no	—
172	#64408	—	4	2	no	—
173	C₄×C₇₃	—	2	1	no	—
174	C₄×C₇₃	—	2	1	no	—
175	C₄×C₇₃	—	2	1	no	—
176	C₄×C₇₃	—	2	1	no	—
177	C₄×C₇₃	—	2	1	no	—
178	Dic₇₃	—	2	1	no	—
179	Dic₇₃	—	2	1	no	—
180	Dic₇₃	—	2	1	no	—
181	Dic₇₃	—	2	1	no	—
182	Dic₇₃	—	2	1	no	—
183	C₂×C₇₃	—	2	2	no	—
184	C₂×C₇₃	—	4	1	no	—
185	C₂×C₇₃	C₂×#117	1	1	yes	characteristic
186	C₂×C₇₃	#518	1	1	yes	characteristic
187	C₂×C₇₃	#520	1	1	yes	characteristic
188	D₇₃	—	2	2	no	—
189	D₇₃	—	4	1	no	—
190	D₇₃	#538	1	2	yes	—
191	D₇₃	#539	1	2	yes	—
192	#2318	—	73	1	no	maximal, Sylow
193	C₇₃	#2318	1	1	yes	characteristic, complemented, Sylow
194	C₂×C₄×D₄	—	73	1	no	—
195	#388	—	73	2	no	—
196	#387	—	73	2	no	—
197	#386	—	73	2	no	—
198	#385	—	73	2	no	—
199	#383	—	73	1	no	—
200	#382	—	73	1	no	—
201	#381	—	73	1	no	—
202	#380	—	73	1	no	—
203	C₄×C₂²⋊C₄	—	73	1	no	—
204	C₂×#95	—	73	1	no	—
205	C₂²×D₄	—	73	1	no	—
206	C₂³×C₄	—	73	1	no	—
207	C₂³×C₄	—	73	1	no	—
208	C₂³×C₄	—	73	2	no	—
209	C₄×D₄	—	73	1	no	—
210	C₄×D₄	—	73	1	no	—
211	C₄×D₄	—	73	1	no	—
212	C₄×D₄	—	73	1	no	—
213	C₄×D₄	—	73	1	no	—
214	C₄×D₄	—	73	1	no	—
215	C₄×D₄	—	73	1	no	—
216	C₄×D₄	#64408	1	1	yes	characteristic, complemented
217	C₂×C₄⋊C₄	—	73	2	no	—
218	C₂×C₄⋊C₄	—	73	2	no	—
219	C₂×C₄⋊C₄	—	73	1	no	—
220	C₂×C₂²⋊C₄	—	73	2	no	—
221	C₂×C₂²⋊C₄	—	73	2	no	—
222	C₂×C₂²⋊C₄	—	73	1	no	—
223	C₂×C₂²⋊C₄	—	73	1	no	—
224	C₂×C₂²⋊C₄	—	73	2	no	—
225	C₂×C₄²	—	73	2	no	—
226	C₂×C₄²	—	73	1	no	—
227	#95	—	73	1	no	—
228	#95	—	73	1	no	—
229	#95	—	73	2	no	—
230	#95	—	73	1	no	—
231	#95	—	73	1	no	—
232	#95	—	73	2	no	—
233	#95	—	73	2	no	—
234	#95	—	73	2	no	—
235	#95	—	73	2	no	—
236	C₂⁴	—	73	1	no	—
237	C₂⁴	—	73	1	no	—
238	C₂×D₄	—	73	1	no	—
239	C₂×D₄	—	73	1	no	—
240	C₂×D₄	—	73	1	no	—
241	C₂×D₄	—	146	4	no	—
242	C₂×D₄	C₂×#64408	1	1	yes	characteristic
243	C₂²×C₄	—	292	2	no	—
244	C₂²×C₄	—	292	2	no	—
245	C₂²×C₄	—	292	2	no	—
246	C₂²×C₄	—	292	2	no	—
247	C₂²×C₄	—	73	1	no	—
248	C₂²×C₄	—	73	1	no	—
249	C₂²×C₄	—	73	1	no	—
250	C₂²×C₄	—	73	1	no	—
251	C₂²×C₄	—	73	1	no	—
252	C₂²×C₄	—	73	1	no	—
253	C₂²×C₄	—	73	1	no	—
254	C₂²×C₄	—	73	1	no	—
255	C₂²×C₄	—	73	1	no	—
256	C₂²×C₄	—	73	1	no	—
257	C₂²×C₄	—	73	1	no	—
258	C₂²×C₄	—	73	2	no	—
259	C₂²×C₄	—	73	2	no	—
260	C₂²×C₄	—	73	2	no	—
261	C₂²×C₄	—	73	2	no	—
262	C₂²×C₄	—	146	4	no	—
263	C₂²×C₄	C₂×#64408	1	1	yes	characteristic
264	C₂²×C₄	C₂×#64408	1	1	yes	characteristic, complemented
265	C₄⋊C₄	—	292	2	no	—
266	C₄⋊C₄	—	292	2	no	—
267	C₄⋊C₄	—	73	1	no	—
268	C₄⋊C₄	—	73	1	no	—
269	C₄⋊C₄	—	73	1	no	—
270	C₄⋊C₄	C₂×#64408	1	1	yes	characteristic, complemented
271	C₂²⋊C₄	—	292	2	no	—
272	C₂²⋊C₄	—	292	2	no	—
273	C₂²⋊C₄	—	73	1	no	—
274	C₂²⋊C₄	—	73	1	no	—
275	C₂²⋊C₄	—	73	1	no	—
276	C₂²⋊C₄	—	73	1	no	—
277	C₂²⋊C₄	—	73	1	no	—
278	C₂²⋊C₄	—	73	1	no	—
279	C₂²⋊C₄	—	146	4	no	—
280	C₂²⋊C₄	C₂×#64408	1	1	yes	characteristic
281	C₂²⋊C₄	C₂×#64408	1	1	yes	characteristic, complemented
282	C₄²	—	292	2	no	—
283	C₄²	—	73	1	no	—
284	C₄²	—	73	1	no	—
285	C₄²	—	73	1	no	—
286	C₄²	C₂×#64408	1	1	yes	characteristic, complemented
287	C₂³	—	73	1	no	—
288	C₂³	—	73	1	no	—
289	C₂³	—	73	4	no	—
290	C₂³	—	73	1	no	—
291	C₂³	—	146	1	no	—
292	C₂³	—	146	2	no	—
293	C₂³	—	146	2	no	—
294	C₂³	—	146	1	no	—
295	C₂³	—	146	2	no	—
296	C₂³	—	146	1	no	—
297	C₂³	—	146	1	no	—
298	C₂³	C₂²×#64408	1	1	yes	characteristic
299	C₂³	C₂²×#64408	1	1	yes	characteristic
300	D₄	—	2	2	no	—
301	D₄	—	146	2	no	—
302	D₄	—	146	2	no	—
303	D₄	—	146	2	no	—
304	C₂×C₄	—	4	1	no	—
305	C₂×C₄	—	4	1	no	—
306	C₂×C₄	—	292	1	no	—
307	C₂×C₄	—	292	1	no	—
308	C₂×C₄	—	292	1	no	—
309	C₂×C₄	—	292	1	no	—
310	C₂×C₄	—	292	8	no	—
311	C₂×C₄	—	292	1	no	—
312	C₂×C₄	—	292	1	no	—
313	C₂×C₄	—	73	1	no	—
314	C₂×C₄	—	73	1	no	—
315	C₂×C₄	—	73	1	no	—
316	C₂×C₄	—	73	1	no	—
317	C₂×C₄	—	73	1	no	—
318	C₂×C₄	—	146	2	no	—
319	C₂×C₄	—	146	1	no	—
320	C₂×C₄	—	146	2	no	—
321	C₂×C₄	—	146	2	no	—
322	C₂×C₄	—	146	2	no	—
323	C₂×C₄	—	146	1	no	—
324	C₂×C₄	—	146	2	no	—
325	C₂×C₄	—	146	2	no	—
326	C₂×C₄	—	146	2	no	—
327	C₂×C₄	—	146	2	no	—
328	C₂×C₄	—	146	2	no	—
329	C₂×C₄	—	146	2	no	—
330	C₂×C₄	—	146	2	no	—
331	C₂×C₄	—	146	2	no	—
332	C₂×C₄	—	146	2	no	—
333	C₂×C₄	—	146	2	no	—
334	C₂×C₄	—	146	2	no	—
335	C₂×C₄	—	146	2	no	—
336	C₂×C₄	C₂²×#64408	1	1	yes	characteristic
337	C₂×C₄	C₂²×#64408	1	1	yes	characteristic
338	C₂×C₄	C₂²×#64408	1	1	yes	characteristic
339	C₂×C₄	C₂²×#64408	1	1	yes	characteristic
340	C₂×C₄	C₂²×#64408	1	1	yes	characteristic
341	C₂²	—	2	1	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	2	1	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	292	2	no	—
347	C₂²	—	292	2	no	—
348	C₂²	—	73	2	no	—
349	C₂²	—	73	2	no	—
350	C₂²	—	73	1	no	—
351	C₂²	—	73	1	no	—
352	C₂²	—	73	2	no	—
353	C₂²	—	146	4	no	—
354	C₂²	—	146	4	no	—
355	C₂²	—	146	1	no	—
356	C₂²	—	146	1	no	—
357	C₂²	—	146	1	no	—
358	C₂²	—	146	1	no	—
359	C₂²	—	146	1	no	—
360	C₂²	#14556670	1	2	yes	—
361	C₂²	C₂³×#64408	1	1	yes	characteristic
362	C₄	—	2	1	no	—
363	C₄	—	2	1	no	—
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	292	2	no	—
368	C₄	—	292	2	no	—
369	C₄	—	292	2	no	—
370	C₄	—	292	2	no	—
371	C₄	—	146	1	no	—
372	C₄	—	146	1	no	—
373	C₄	—	146	1	no	—
374	C₄	—	146	1	no	—
375	C₄	—	146	1	no	—
376	C₂	—	2	2	no	—
377	C₂	—	4	1	no	—
378	C₂	—	292	1	no	—
379	C₂	—	73	2	no	—
380	C₂	—	73	2	no	—
381	C₂	—	146	2	no	—
382	C₂	C₂×#14556670	1	1	yes	characteristic
383	C₂	#17989654	1	1	yes	characteristic
384	C₂	#17989656	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×#64408
commutator, socle	C₂²×C₇₃	C₂³×C₄
Fitting	C₄×D₄×C₇₃	C₄
hypercenter	C₄×D₄	#64408
hypocenter	C₇₃	#2318
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄

Complements

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

N	H ≅ G/N	type
1. #17989537	C₂	semidirect
2. #17989536	C₂	semidirect
4. #17989534	C₂	semidirect
5. #17989532	C₂	semidirect
6. #17989531	C₂	semidirect
7. #17989530	C₂	semidirect
8. #17989529	C₂	semidirect
9. C₄×C₂²⋊#64408	C₂	semidirect
10. C₂×(C₂×#64408)⋊C₄	C₂	semidirect
31. C₄×D₂₉₂	C₄	semidirect
32. D₄×Dic₇₃	C₄	semidirect
33. #14556553	C₄	semidirect
34. C₄×C₂²⋊D₇₃	C₄	semidirect
35. C₄×C₂²⋊D₇₃	C₄	semidirect
36. #14556551	C₄	semidirect
37. #14556551	C₄	semidirect
42. C₄×D₄×C₇₃	C₄	semidirect
63. C₂²×Dic₇₃	C₂×C₄	semidirect
68. C₂×C₄×D₇₃	C₂×C₄	semidirect
69. C₂×C₄×D₇₃	C₂×C₄	semidirect
75. C₄⋊Dic₇₃	C₂×C₄	semidirect
76. #11924007	C₂×C₄	semidirect
77. #11924007	C₂×C₄	semidirect
79. C₂²⋊Dic₇₃	C₂×C₄	semidirect
82. #11924005	C₂×C₄	semidirect
83. #11924005	C₂×C₄	semidirect
84. C₄×Dic₇₃	C₂×C₄	semidirect
85. C₄×Dic₇₃	C₂×C₄	semidirect
86. C₄×Dic₇₃	C₂×C₄	semidirect
89. C₂²×C₄×C₇₃	C₂×C₄	semidirect
90. C₄⋊C₄×C₇₃	C₂×C₄	semidirect
92. C₂²⋊C₄×C₇₃	C₂×C₄	semidirect
93. C₄²×C₇₃	C₂×C₄	semidirect
193. C₇₃	#2318	semidirect
216. C₄×D₄	#64408	semidirect
264. C₂²×C₄	C₂×#64408	semidirect
270. C₄⋊C₄	C₂×#64408	semidirect
281. C₂²⋊C₄	C₂×#64408	semidirect
286. C₄²	C₂×#64408	semidirect