Subgroups — #22624208

Order 9344.

1058 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#17989329	C₂	1	2	yes	maximal, complemented
2	#17989327	C₂	1	2	yes	maximal, complemented
3	#17989321	C₂	1	2	yes	maximal, complemented
4	#17989308	C₂	1	2	yes	maximal, complemented
5	#17989300	C₂	1	2	yes	maximal, complemented
6	#17989267	C₂	1	2	yes	maximal, complemented
7	#17989248	C₂	1	2	yes	maximal, complemented
8	#17989228	C₂	1	2	yes	maximal, complemented
9	#17989211	C₂	1	4	yes	maximal, complemented
10	#17989210	C₂	1	2	yes	maximal, complemented
11	#17989173	C₂	1	4	yes	maximal, complemented
12	#17989151	C₂	1	1	yes	maximal, characteristic, complemented
13	#17989100	C₂	1	2	yes	maximal, complemented
14	#17989094	C₂	1	1	yes	maximal, characteristic, complemented
15	#536×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11924029	C₂²	1	2	yes	—
17	C₂²×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
18	C₂²×C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
19	#14556590	C₂²	1	2	yes	complemented
20	#14556587	C₂²	1	2	yes	—
21	#14556586	C₂²	1	4	yes	complemented
22	#14556586	C₂²	1	4	yes	complemented
23	#14556584	C₂²	1	4	yes	complemented
24	#14556580	C₂²	1	2	yes	complemented
25	#14556580	C₂²	1	2	yes	complemented
26	#14556580	C₂²	1	4	yes	complemented
27	#14556579	C₂²	1	4	yes	complemented
28	#14556577	C₂²	1	4	yes	—
29	#14556577	C₂²	1	4	yes	complemented
30	#14556577	C₂²	1	4	yes	complemented
31	#14556576	C₂²	1	4	yes	complemented
32	#14556576	C₂²	1	4	yes	complemented
33	#14556573	C₂²	1	4	yes	complemented
34	#14556572	C₂²	1	1	yes	characteristic
35	#14556572	C₂²	1	1	yes	characteristic, complemented
36	#14556571	C₂²	1	4	yes	complemented
37	#14556567	C₂²	1	2	yes	complemented
38	#14556567	C₂²	1	4	yes	complemented
39	#14556567	C₂²	1	2	yes	complemented
40	#14556566	C₂²	1	4	yes	—
41	#14556566	C₂²	1	2	yes	—
42	#14556565	C₂²	1	2	yes	—
43	#14556565	C₂²	1	2	yes	complemented
44	#14556565	C₂²	1	4	yes	complemented
45	#14556564	C₂²	1	4	yes	complemented
46	#14556562	C₂²	1	2	yes	—
47	#14556561	C₂²	1	4	yes	—
48	#14556561	C₂²	1	4	yes	complemented
49	#14556559	C₂²	1	2	yes	—
50	#14556559	C₂²	1	1	yes	characteristic
51	#14556559	C₂²	1	2	yes	complemented
52	#14556559	C₂²	1	1	yes	characteristic, complemented
53	Q₈×Dic₇₃	C₂²	1	2	yes	complemented
54	#14556556	C₂²	1	4	yes	complemented
55	#14556553	C₂²	1	4	yes	complemented
56	#14556553	C₂²	1	2	yes	complemented
57	C₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
58	C₄×C₂²⋊D₇₃	C₂²	1	4	yes	complemented
59	C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
60	#14556551	C₂²	1	4	yes	complemented
61	#14556550	C₂²	1	1	yes	characteristic, complemented
62	#14556550	C₂²	1	1	yes	characteristic, complemented
63	#14556549	C₂²	1	2	yes	complemented
64	#14556548	C₂²	1	4	yes	complemented
65	C₂²⋊C₄×D₇₃	C₂²	1	4	yes	complemented
66	C₂×#41×C₇₃	C₂²	1	1	yes	characteristic
67	C₂²×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
68	C₄⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
69	#124×C₇₃	C₂²	1	2	yes	—
70	#123×C₇₃	C₂²	1	2	yes	complemented
71	#123×C₇₃	C₂²	1	2	yes	complemented
72	C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
73	C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
74	#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
75	C₂³×D₇₃	C₂³	1	2	yes	—
76	C₂³×D₇₃	C₂³	1	1	yes	characteristic
77	#11924029	—	4	4	no	—
78	C₂×Dic₁₄₆	C₂³	1	4	yes	—
79	C₂×D₂₉₂	—	4	2	no	—
80	C₂×D₂₉₂	C₂³	1	2	yes	—
81	C₂×D₂₉₂	C₂³	1	4	yes	—
82	C₂×D₂₉₂	C₂³	1	4	yes	—
83	C₂×D₂₉₂	C₂³	1	2	yes	—
84	C₂×C₂²⋊D₇₃	C₂³	1	4	yes	—
85	C₂×C₂²⋊D₇₃	C₂³	1	2	yes	—
86	C₂×C₂²⋊D₇₃	C₂³	1	2	yes	—
87	C₂×C₂²⋊D₇₃	C₂³	1	4	yes	—
88	C₂²×Dic₇₃	C₂³	1	1	yes	characteristic
89	C₂×C₄×D₇₃	—	4	2	no	—
90	C₂×C₄×D₇₃	C₂³	1	2	yes	—
91	C₂×C₄×D₇₃	C₂³	1	4	yes	—
92	C₂×C₄×D₇₃	C₂³	1	4	yes	—
93	C₂×C₄×D₇₃	C₂³	1	2	yes	—
94	C₄⋊Dic₇₃	C₂³	1	2	yes	—
95	C₄⋊Dic₇₃	C₂³	1	2	yes	—
96	C₄⋊Dic₇₃	C₂³	1	4	yes	—
97	#11924007	C₂³	1	2	yes	—
98	#11924007	C₂³	1	4	yes	—
99	#11924007	C₂³	1	4	yes	—
100	#11924007	C₂³	1	2	yes	—
101	C₂²⋊Dic₇₃	C₂³	1	2	yes	—
102	C₂²⋊Dic₇₃	C₂³	1	2	yes	—
103	C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
104	C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
105	C₂²⋊Dic₇₃	C₂³	1	2	yes	—
106	#11924005	C₂³	1	4	yes	—
107	#11924005	C₂³	1	4	yes	—
108	#11924005	C₂³	1	4	yes	—
109	#11924005	C₂³	1	4	yes	—
110	#11924005	C₂³	1	2	yes	—
111	#11924005	C₂³	1	2	yes	—
112	#11924005	C₂³	1	4	yes	—
113	#11924005	C₂³	1	4	yes	—
114	#11924005	C₂³	1	4	yes	—
115	#11924005	C₂³	1	4	yes	—
116	C₄×Dic₇₃	C₂³	1	4	yes	—
117	C₄×Dic₇₃	C₂³	1	2	yes	—
118	C₄×Dic₇₃	C₂³	1	2	yes	—
119	C₄×Dic₇₃	C₂³	1	4	yes	—
120	#41×C₇₃	—	4	2	no	—
121	C₂×Q₈×C₇₃	—	4	2	no	—
122	C₂×Q₈×C₇₃	C₂³	1	2	yes	—
123	C₂×Q₈×C₇₃	C₂³	1	2	yes	—
124	C₂×Q₈×C₇₃	C₂³	1	1	yes	characteristic
125	C₂×D₄×C₇₃	C₂³	1	1	yes	characteristic
126	C₂×D₄×C₇₃	C₂³	1	1	yes	characteristic
127	C₂×D₄×C₇₃	C₂³	1	1	yes	characteristic
128	C₂²×C₄×C₇₃	C₂³	1	1	yes	characteristic
129	C₂²×C₄×C₇₃	C₂³	1	1	yes	characteristic
130	C₂²×C₄×C₇₃	C₂³	1	1	yes	characteristic
131	C₂²×C₄×C₇₃	C₂³	1	2	yes	—
132	C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
133	C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
134	C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
135	C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
136	C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
137	C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
138	C₄²×C₇₃	C₂³	1	2	yes	—
139	C₂³×C₇₃	C₂⁴	1	1	yes	characteristic
140	C₂³×C₇₃	C₂⁴	1	1	yes	characteristic
141	C₂³×C₇₃	C₂⁴	1	1	yes	characteristic
142	C₂²×D₇₃	—	4	1	no	—
143	C₂²×D₇₃	—	4	2	no	—
144	C₂²×D₇₃	—	4	2	no	—
145	C₂²×D₇₃	—	4	4	no	—
146	C₂²×D₇₃	C₂⁴	1	2	yes	—
147	C₂²×D₇₃	C₂⁴	1	4	yes	—
148	Q₈×C₇₃	—	2	4	no	—
149	Q₈×C₇₃	—	4	2	no	—
150	Q₈×C₇₃	—	4	1	no	—
151	D₄×C₇₃	—	4	1	no	—
152	D₄×C₇₃	—	4	1	no	—
153	D₄×C₇₃	—	4	1	no	—
154	C₂×C₄×C₇₃	—	2	2	no	—
155	C₂×C₄×C₇₃	—	2	2	no	—
156	C₂×C₄×C₇₃	—	2	2	no	—
157	C₂×C₄×C₇₃	—	4	2	no	—
158	C₂×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
159	C₂×C₄×C₇₃	C₂⁴	1	4	yes	—
160	C₂×C₄×C₇₃	C₂⁴	1	4	yes	—
161	C₂×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
162	C₂×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
163	C₂×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
164	C₂²⋊D₇₃	—	4	2	no	—
165	C₂²⋊D₇₃	—	4	4	no	—
166	C₂²⋊D₇₃	—	4	4	no	—
167	C₂²⋊D₇₃	—	4	2	no	—
168	C₂×Dic₇₃	—	4	1	no	—
169	C₂×Dic₇₃	C₂⁴	1	2	yes	—
170	C₂×Dic₇₃	C₂⁴	1	4	yes	—
171	C₂×Dic₇₃	C₂⁴	1	2	yes	—
172	C₂×Dic₇₃	C₂⁴	1	2	yes	—
173	D₂₉₂	—	2	4	no	—
174	D₂₉₂	—	4	2	no	—
175	D₂₉₂	—	4	4	no	—
176	D₂₉₂	—	4	4	no	—
177	C₄×D₇₃	—	2	4	no	—
178	C₄×D₇₃	—	4	2	no	—
179	C₄×D₇₃	—	4	4	no	—
180	C₄×D₇₃	—	4	4	no	—
181	Dic₁₄₆	—	4	4	no	—
182	C₂²×C₇₃	—	2	1	no	—
183	C₂²×C₇₃	—	2	1	no	—
184	C₂²×C₇₃	—	2	1	no	—
185	C₂²×C₇₃	—	2	2	no	—
186	C₂²×C₇₃	—	2	2	no	—
187	C₂²×C₇₃	—	2	2	no	—
188	C₂²×C₇₃	C₂⁵	1	1	yes	characteristic
189	C₂×D₇₃	—	2	2	no	—
190	C₂×D₇₃	—	2	4	no	—
191	C₂×D₇₃	—	2	4	no	—
192	C₂×D₇₃	—	2	2	no	—
193	C₂×D₇₃	—	2	4	no	—
194	C₂×D₇₃	—	2	2	no	—
195	C₂×D₇₃	—	4	4	no	—
196	C₂×D₇₃	—	8	4	no	—
197	C₄×C₇₃	—	2	1	no	—
198	C₄×C₇₃	—	2	4	no	—
199	C₄×C₇₃	—	2	1	no	—
200	C₄×C₇₃	—	2	1	no	—
201	C₄×C₇₃	—	2	4	no	—
202	C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
203	Dic₇₃	—	2	2	no	—
204	Dic₇₃	—	2	2	no	—
205	Dic₇₃	—	2	4	no	—
206	Dic₇₃	—	2	2	no	—
207	C₂×C₇₃	—	4	1	no	—
208	C₂×C₇₃	—	4	1	no	—
209	C₂×C₇₃	—	4	1	no	—
210	C₂×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
211	C₂×C₇₃	#585	1	2	yes	—
212	D₇₃	—	4	2	no	—
213	D₇₃	—	4	4	no	—
214	#3540	—	73	1	no	maximal, Sylow
215	C₇₃	#3540	1	1	yes	characteristic, complemented, Sylow
216	H(3,𝔽₄)	—	73	2	no	—
217	#560	—	73	2	no	—
218	#559	—	73	2	no	—
219	#556	—	73	2	no	—
220	#555	—	73	2	no	—
221	#551	—	73	2	no	—
222	#548	—	73	2	no	—
223	#546	—	73	2	no	—
224	#542	—	73	4	no	—
225	#542	—	73	2	no	—
226	#538	—	73	4	no	—
227	#536	D₇₃	1	1	yes	characteristic, complemented
228	#535	—	73	1	no	—
229	#525	—	73	1	no	—
230	#525	—	73	2	no	—
231	C₂×#41	—	73	2	no	—
232	C₂×#41	C₂×D₇₃	1	1	yes	characteristic
233	C₂²×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
234	C₂²×D₄	—	73	1	no	—
235	C₂³×C₄	—	73	1	no	—
236	C₄⋊Q₈	—	73	2	no	—
237	C₄⋊Q₈	C₂×D₇₃	1	2	yes	complemented
238	#127	—	73	2	no	—
239	#126	—	73	4	no	—
240	#126	—	73	4	no	—
241	#126	—	73	4	no	—
242	#124	—	73	2	no	—
243	#124	—	73	2	no	—
244	#124	—	73	4	no	—
245	#124	—	73	4	no	—
246	#124	—	73	4	no	—
247	#124	—	73	4	no	—
248	#124	—	73	4	no	—
249	#124	C₂×D₇₃	1	2	yes	—
250	#123	—	73	1	no	—
251	#123	—	73	1	no	—
252	#123	—	73	4	no	—
253	#123	—	73	4	no	—
254	#123	—	73	4	no	—
255	#123	C₂×D₇₃	1	2	yes	complemented
256	#123	C₂×D₇₃	1	2	yes	complemented
257	C₂²⋊Q₈	—	73	2	no	—
258	C₂²⋊Q₈	—	73	2	no	—
259	C₂²⋊Q₈	—	73	4	no	—
260	C₂²⋊Q₈	—	73	4	no	—
261	C₂²⋊Q₈	C₂×D₇₃	1	2	yes	complemented
262	C₂²⋊Q₈	C₂×D₇₃	1	2	yes	complemented
263	#121	—	73	2	no	—
264	#121	—	73	2	no	—
265	#121	—	73	2	no	—
266	#121	—	73	4	no	—
267	#121	—	73	2	no	—
268	#121	—	73	4	no	—
269	#121	—	73	4	no	—
270	#120	—	73	1	no	—
271	#120	—	73	1	no	—
272	#120	—	73	2	no	—
273	#120	—	73	2	no	—
274	#120	—	73	4	no	—
275	#120	—	73	4	no	—
276	C₄×Q₈	—	73	2	no	—
277	C₄×Q₈	—	73	4	no	—
278	C₄×D₄	—	73	2	no	—
279	C₄×D₄	—	73	2	no	—
280	C₄×D₄	—	73	4	no	—
281	C₄×D₄	—	73	4	no	—
282	C₄×D₄	—	73	2	no	—
283	C₄×D₄	—	73	4	no	—
284	#117	—	73	1	no	—
285	#117	—	73	1	no	—
286	#117	—	73	2	no	—
287	#117	—	73	4	no	—
288	#117	C₂×D₇₃	1	1	yes	characteristic, complemented
289	C₂×C₂²⋊C₄	—	73	4	no	—
290	C₂⁴	—	73	2	no	—
291	C₂⁴	—	73	1	no	—
292	#41	—	4	2	no	—
293	#41	—	292	4	no	—
294	C₂×Q₈	—	4	2	no	—
295	C₂×Q₈	—	73	4	no	—
296	C₂×Q₈	C₂²×D₇₃	1	2	yes	—
297	C₂×Q₈	C₂²×D₇₃	1	2	yes	—
298	C₂×Q₈	C₂²×D₇₃	1	1	yes	characteristic
299	C₂×D₄	—	292	2	no	—
300	C₂×D₄	—	73	2	no	—
301	C₂×D₄	—	73	4	no	—
302	C₂×D₄	—	73	2	no	—
303	C₂×D₄	—	73	4	no	—
304	C₂×D₄	—	73	4	no	—
305	C₂×D₄	—	73	4	no	—
306	C₂×D₄	—	73	2	no	—
307	C₂×D₄	—	73	2	no	—
308	C₂×D₄	C₂²×D₇₃	1	1	yes	characteristic
309	C₂×D₄	C₂²×D₇₃	1	1	yes	characteristic
310	C₂×D₄	C₂²×D₇₃	1	1	yes	characteristic
311	C₂²×C₄	—	292	2	no	—
312	C₂²×C₄	—	73	1	no	—
313	C₂²×C₄	—	73	4	no	—
314	C₂²×C₄	—	73	4	no	—
315	C₂²×C₄	—	73	2	no	—
316	C₂²×C₄	—	73	2	no	—
317	C₂²×C₄	C₂²×D₇₃	1	1	yes	characteristic
318	C₂²×C₄	C₂²×D₇₃	1	1	yes	characteristic
319	C₂²×C₄	C₂²×D₇₃	1	1	yes	characteristic
320	C₂²×C₄	C₂²×D₇₃	1	2	yes	—
321	C₄⋊C₄	—	73	2	no	—
322	C₄⋊C₄	—	73	4	no	—
323	C₄⋊C₄	—	73	4	no	—
324	C₄⋊C₄	—	73	2	no	—
325	C₄⋊C₄	—	73	2	no	—
326	C₄⋊C₄	—	73	2	no	—
327	C₄⋊C₄	—	73	4	no	—
328	C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
329	C₄⋊C₄	C₂²×D₇₃	1	4	yes	—
330	C₄⋊C₄	C₂²×D₇₃	1	4	yes	—
331	C₂²⋊C₄	—	73	2	no	—
332	C₂²⋊C₄	—	73	2	no	—
333	C₂²⋊C₄	—	73	1	no	—
334	C₂²⋊C₄	—	73	1	no	—
335	C₂²⋊C₄	—	73	2	no	—
336	C₂²⋊C₄	—	73	4	no	—
337	C₂²⋊C₄	—	73	4	no	—
338	C₂²⋊C₄	—	73	4	no	—
339	C₂²⋊C₄	—	73	4	no	—
340	C₂²⋊C₄	—	73	2	no	—
341	C₂²⋊C₄	—	73	4	no	—
342	C₂²⋊C₄	—	73	4	no	—
343	C₂²⋊C₄	—	73	4	no	—
344	C₂²⋊C₄	—	73	2	no	—
345	C₂²⋊C₄	—	73	4	no	—
346	C₂²⋊C₄	C₂²×D₇₃	1	4	yes	—
347	C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
348	C₂²⋊C₄	C₂²×D₇₃	1	4	yes	—
349	C₄²	—	73	4	no	—
350	C₄²	—	73	2	no	—
351	C₄²	—	73	2	no	—
352	C₄²	—	73	4	no	—
353	C₄²	C₂²×D₇₃	1	2	yes	—
354	C₂³	—	292	1	no	—
355	C₂³	—	292	2	no	—
356	C₂³	—	292	2	no	—
357	C₂³	—	292	4	no	—
358	C₂³	—	73	2	no	—
359	C₂³	—	73	4	no	—
360	C₂³	C₂³×D₇₃	1	1	yes	characteristic
361	C₂³	C₂³×D₇₃	1	1	yes	characteristic
362	C₂³	C₂³×D₇₃	1	1	yes	characteristic
363	Q₈	—	2	4	no	—
364	Q₈	—	4	2	no	—
365	Q₈	—	4	1	no	—
366	Q₈	—	292	4	no	—
367	D₄	—	4	1	no	—
368	D₄	—	4	1	no	—
369	D₄	—	4	1	no	—
370	D₄	—	292	2	no	—
371	D₄	—	292	4	no	—
372	D₄	—	292	4	no	—
373	D₄	—	292	2	no	—
374	D₄	—	292	4	no	—
375	D₄	—	292	4	no	—
376	D₄	—	292	2	no	—
377	D₄	—	146	4	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	292	2	no	—
383	C₂×C₄	—	292	4	no	—
384	C₂×C₄	—	292	4	no	—
385	C₂×C₄	—	292	1	no	—
386	C₂×C₄	—	73	2	no	—
387	C₂×C₄	—	73	4	no	—
388	C₂×C₄	—	73	2	no	—
389	C₂×C₄	—	73	2	no	—
390	C₂×C₄	—	146	4	no	—
391	C₂×C₄	C₂³×D₇₃	1	1	yes	characteristic
392	C₂×C₄	C₂³×D₇₃	1	4	yes	—
393	C₂×C₄	C₂³×D₇₃	1	4	yes	—
394	C₂×C₄	C₂³×D₇₃	1	1	yes	characteristic
395	C₂×C₄	C₂³×D₇₃	1	1	yes	characteristic
396	C₂×C₄	C₂³×D₇₃	1	1	yes	characteristic
397	C₂²	—	2	1	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	2	no	—
401	C₂²	—	2	2	no	—
402	C₂²	—	2	2	no	—
403	C₂²	—	292	4	no	—
404	C₂²	—	584	4	no	—
405	C₂²	—	146	2	no	—
406	C₂²	—	146	4	no	—
407	C₂²	—	146	4	no	—
408	C₂²	—	146	2	no	—
409	C₂²	—	146	2	no	—
410	C₂²	—	146	4	no	—
411	C₂²	C₂⁴×D₇₃	1	1	yes	characteristic
412	C₄	—	2	1	no	—
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	2	4	no	—
416	C₄	—	2	4	no	—
417	C₄	—	146	2	no	—
418	C₄	—	146	2	no	—
419	C₄	—	146	4	no	—
420	C₄	—	146	2	no	—
421	C₄	#14556636	1	2	yes	—
422	C₂	—	4	1	no	—
423	C₂	—	4	1	no	—
424	C₂	—	4	1	no	—
425	C₂	—	292	2	no	—
426	C₂	—	292	4	no	—
427	C₂	C₂×#14556636	1	1	yes	characteristic
428	C₂	#17989424	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₇₃
commutator, socle	C₂²×C₇₃	C₂⁵
Fitting	#536×C₇₃	C₂
hypercenter	#536	D₇₃
hypocenter	C₇₃	#3540
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #536

Complements

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

N	H ≅ G/N	type
1. #17989329	C₂	semidirect
2. #17989327	C₂	semidirect
3. #17989321	C₂	semidirect
4. #17989308	C₂	semidirect
5. #17989300	C₂	semidirect
6. #17989267	C₂	semidirect
7. #17989248	C₂	semidirect
8. #17989228	C₂	semidirect
9. #17989211	C₂	semidirect
10. #17989210	C₂	semidirect
11. #17989173	C₂	semidirect
12. #17989151	C₂	semidirect
13. #17989100	C₂	semidirect
14. #17989094	C₂	semidirect
15. #536×C₇₃	C₂	semidirect
17. C₂²×D₂₉₂	C₂²	semidirect
18. C₂²×C₄×D₇₃	C₂²	semidirect
19. #14556590	C₂²	semidirect
21. #14556586	C₂²	semidirect
22. #14556586	C₂²	semidirect
23. #14556584	C₂²	semidirect
24. #14556580	C₂²	semidirect
25. #14556580	C₂²	semidirect
26. #14556580	C₂²	semidirect
27. #14556579	C₂²	semidirect
29. #14556577	C₂²	semidirect
30. #14556577	C₂²	semidirect
31. #14556576	C₂²	semidirect
32. #14556576	C₂²	semidirect
33. #14556573	C₂²	semidirect
35. #14556572	C₂²	semidirect
36. #14556571	C₂²	semidirect
37. #14556567	C₂²	semidirect
38. #14556567	C₂²	semidirect
39. #14556567	C₂²	semidirect
43. #14556565	C₂²	semidirect
44. #14556565	C₂²	semidirect
45. #14556564	C₂²	semidirect
48. #14556561	C₂²	semidirect
51. #14556559	C₂²	semidirect
52. #14556559	C₂²	semidirect
53. Q₈×Dic₇₃	C₂²	semidirect
54. #14556556	C₂²	semidirect
55. #14556553	C₂²	semidirect
56. #14556553	C₂²	semidirect
58. C₄×C₂²⋊D₇₃	C₂²	semidirect
59. C₄×C₂²⋊D₇₃	C₂²	semidirect
60. #14556551	C₂²	semidirect
61. #14556550	C₂²	semidirect
62. #14556550	C₂²	semidirect
63. #14556549	C₂²	semidirect
64. #14556548	C₂²	semidirect
65. C₂²⋊C₄×D₇₃	C₂²	semidirect
67. C₂²×Q₈×C₇₃	C₂²	semidirect
68. C₄⋊Q₈×C₇₃	C₂²	semidirect
70. #123×C₇₃	C₂²	semidirect
71. #123×C₇₃	C₂²	semidirect
72. C₂²⋊Q₈×C₇₃	C₂²	semidirect
73. C₂²⋊Q₈×C₇₃	C₂²	semidirect
74. #117×C₇₃	C₂²	semidirect
215. C₇₃	#3540	semidirect
227. #536	D₇₃	semidirect
233. C₂²×Q₈	C₂×D₇₃	semidirect
237. C₄⋊Q₈	C₂×D₇₃	semidirect
255. #123	C₂×D₇₃	semidirect
256. #123	C₂×D₇₃	semidirect
261. C₂²⋊Q₈	C₂×D₇₃	semidirect
262. C₂²⋊Q₈	C₂×D₇₃	semidirect
288. #117	C₂×D₇₃	semidirect