Subgroups — #33950315

Order 18688.

2612 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22624700	C₂	1	1	yes	maximal, characteristic
2	#22624642	C₂	1	2	yes	maximal, complemented
3	#22618848	C₂	1	1	yes	maximal, characteristic, complemented
4	#22618847	C₂	1	1	yes	maximal, characteristic, complemented
5	#22618843	C₂	1	4	yes	maximal, complemented
6	#22618837	C₂	1	2	yes	maximal, complemented
7	#22618836	C₂	1	4	yes	maximal, complemented
8	#22618832	C₂	1	2	yes	maximal, complemented
9	#22618829	C₂	1	4	yes	maximal, complemented
10	C₂×#17988705	C₂	1	1	yes	maximal, characteristic, complemented
11	#443×D₇₃	C₂	1	4	yes	maximal, complemented
12	#22618539	C₂	1	1	yes	maximal, characteristic, complemented
13	#22618475	C₂	1	2	yes	maximal, complemented
14	C₄×#14556597	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#443×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#17989423	C₂²	1	2	yes	—
17	#17989401	C₄	1	2	yes	complemented
18	#17989400	C₄	1	2	yes	complemented
19	#17989394	C₄	1	4	yes	complemented
20	#17989393	C₄	1	4	yes	complemented
21	#17989389	C₄	1	2	yes	complemented
22	#17989388	C₄	1	2	yes	complemented
23	#17989385	C₂²	1	2	yes	—
24	#17989384	C₂²	1	4	yes	—
25	C₂×#14556613	C₂²	1	1	yes	characteristic
26	#135×D₇₃	C₂²	1	4	yes	—
27	#17989354	C₂²	1	2	yes	complemented
28	#17989353	—	2	4	no	—
29	#17989353	C₂²	1	2	yes	—
30	#17989353	C₂²	1	2	yes	complemented
31	#17989352	—	2	4	no	—
32	#17989352	C₂²	1	8	yes	complemented
33	C₂×#14556597	—	2	4	no	—
34	C₂×#14556597	C₂²	1	1	yes	characteristic
35	C₂×#14556597	C₂²	1	1	yes	characteristic
36	C₂×#14556597	C₂²	1	2	yes	complemented
37	#131×D₇₃	—	2	4	no	—
38	#131×D₇₃	C₂²	1	8	yes	complemented
39	C₄×#11924028	C₂²	1	1	yes	characteristic
40	#17988709	C₂²	1	4	yes	complemented
41	#17988708	C₂²	1	4	yes	complemented
42	#17988707	C₂²	1	8	yes	complemented
43	#17988706	C₂²	1	8	yes	complemented
44	#17988705	C₂²	1	2	yes	complemented
45	#17988705	C₂²	1	2	yes	complemented
46	#17988705	C₂²	1	2	yes	complemented
47	#17988705	C₂²	1	2	yes	complemented
48	#17988704	C₂²	1	4	yes	complemented
49	#17988703	C₂²	1	4	yes	complemented
50	#17988702	C₂²	1	8	yes	complemented
51	#17988701	C₂²	1	8	yes	complemented
52	#17988635	C₂²	1	2	yes	complemented
53	#17988634	C₂²	1	4	yes	complemented
54	C₂×#14556527	C₂²	1	1	yes	characteristic, complemented
55	#108×D₇₃	C₂²	1	4	yes	complemented
56	#17988604	C₂²	1	2	yes	complemented
57	#17988603	C₂²	1	2	yes	complemented
58	#17988602	C₂²	1	8	yes	complemented
59	C₂×#14556519	C₂²	1	2	yes	complemented
60	#104×D₇₃	C₂²	1	8	yes	complemented
61	#17988542	C₂²	1	1	yes	characteristic, complemented
62	#17988542	C₂²	1	1	yes	characteristic, complemented
63	#17988541	C₂²	1	2	yes	complemented
64	#17988541	C₂²	1	2	yes	complemented
65	C₄×#11924012	C₂²	1	1	yes	characteristic, complemented
66	C₄×#11924011	C₂²	1	2	yes	complemented
67	C₄×C₈×D₇₃	C₂²	1	2	yes	complemented
68	C₂×#135×C₇₃	C₂²	1	1	yes	characteristic
69	C₂×#131×C₇₃	C₂²	1	2	yes	complemented
70	#443×C₇₃	C₂²	1	2	yes	complemented
71	#443×C₇₃	C₂²	1	2	yes	complemented
72	#443×C₇₃	C₂²	1	2	yes	complemented
73	#443×C₇₃	C₂²	1	2	yes	complemented
74	C₂×#108×C₇₃	C₂²	1	1	yes	characteristic, complemented
75	C₂×#104×C₇₃	C₂²	1	2	yes	complemented
76	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
77	#14556639	C₂×C₄	1	4	yes	—
78	#14556638	—	2	2	no	—
79	#14556638	C₂×C₄	1	4	yes	—
80	#14556637	—	2	2	no	—
81	#14556637	C₂×C₄	1	4	yes	—
82	#14556636	—	2	4	no	—
83	#14556636	C₂×C₄	1	4	yes	—
84	C₂×#11924028	—	2	4	no	—
85	C₂×#11924028	C₂³	1	2	yes	—
86	C₂×#11924028	C₂³	1	1	yes	characteristic
87	#41×D₇₃	—	2	4	no	—
88	#41×D₇₃	C₂³	1	8	yes	—
89	#14556623	C₂×C₄	1	8	yes	complemented
90	#14556622	C₂×C₄	1	4	yes	complemented
91	#14556621	C₂×C₄	1	4	yes	complemented
92	#14556620	C₂×C₄	1	8	yes	complemented
93	#14556618	C₂×C₄	1	8	yes	complemented
94	#14556617	C₂×C₄	1	4	yes	complemented
95	#14556616	C₂×C₄	1	4	yes	complemented
96	#14556615	C₂×C₄	1	8	yes	complemented
97	#14556614	C₂×C₄	1	4	yes	complemented
98	#14556613	C₂×C₄	1	2	yes	complemented
99	#14556613	C₂×C₄	1	2	yes	complemented
100	#14556613	C₂³	1	2	yes	—
101	#14556613	C₂³	1	2	yes	—
102	#14556612	C₂×C₄	1	8	yes	complemented
103	#14556611	C₂³	1	8	yes	—
104	#14556610	C₂×C₄	1	4	yes	complemented
105	C₂×Dic₂₉₂	C₂×C₄	1	1	yes	characteristic, complemented
106	Q₁₆×D₇₃	C₂×C₄	1	4	yes	complemented
107	C₂×#11924017	C₂×C₄	1	2	yes	complemented
108	SD₁₆×D₇₃	C₂×C₄	1	8	yes	complemented
109	C₂×D₅₈₄	C₂×C₄	1	1	yes	characteristic, complemented
110	D₈×D₇₃	C₂×C₄	1	4	yes	complemented
111	#14556599	—	2	4	no	—
112	#14556599	—	2	8	no	—
113	#14556599	—	2	8	no	—
114	#14556599	C₂³	1	8	yes	—
115	#14556598	—	2	4	no	—
116	#14556598	C₂³	1	8	yes	—
117	#14556597	—	2	4	no	—
118	#14556597	—	2	4	no	—
119	#14556597	—	2	8	no	—
120	#14556597	—	2	8	no	—
121	#14556597	—	2	2	no	—
122	#14556597	—	2	2	no	—
123	#14556597	C₂×C₄	1	2	yes	—
124	#14556597	C₂×C₄	1	2	yes	—
125	#14556597	C₂×C₄	1	2	yes	—
126	#14556597	C₂×C₄	1	2	yes	—
127	#14556597	D₄	1	2	yes	—
128	#14556597	D₄	1	2	yes	—
129	#14556597	D₄	1	2	yes	—
130	#14556597	D₄	1	2	yes	—
131	#14556597	C₂³	1	4	yes	—
132	#14556597	C₂³	1	4	yes	—
133	C₂×#11924012	—	2	4	no	—
134	C₂×#11924012	C₂³	1	2	yes	—
135	C₂×#11924012	C₂³	1	1	yes	characteristic
136	C₂×#11924012	C₂³	1	1	yes	characteristic
137	C₂×#11924011	—	2	8	no	—
138	C₂×#11924011	—	2	2	no	—
139	C₂×#11924011	C₂³	1	2	yes	—
140	C₂×#11924011	C₂³	1	2	yes	—
141	M₁₆×D₇₃	—	2	4	no	—
142	M₁₆×D₇₃	—	2	8	no	—
143	M₁₆×D₇₃	—	2	8	no	—
144	M₁₆×D₇₃	C₂³	1	8	yes	—
145	C₂×C₈×D₇₃	—	2	8	no	—
146	C₂×C₈×D₇₃	—	2	2	no	—
147	C₂×C₈×D₇₃	C₂³	1	2	yes	—
148	C₂×C₈×D₇₃	C₂³	1	2	yes	—
149	C₄×Dic₁₄₆	—	2	1	no	—
150	C₄×D₂₉₂	—	2	1	no	—
151	C₄×C₂²⋊D₇₃	—	2	2	no	—
152	#14556550	C₂³	1	1	yes	characteristic
153	#14556548	C₂³	1	2	yes	—
154	C₄²×D₇₃	C₂³	1	2	yes	—
155	#14556527	C₂³	1	2	yes	—
156	#14556527	C₂³	1	2	yes	—
157	#14556526	C₂³	1	8	yes	—
158	#14556519	C₂³	1	4	yes	—
159	#14556519	C₂³	1	4	yes	—
160	#14556518	C₂³	1	8	yes	—
161	#14556517	C₂³	1	8	yes	—
162	#14556502	C₂³	1	2	yes	—
163	#14556501	C₂³	1	2	yes	—
164	#14556501	C₂³	1	2	yes	—
165	C₄×#10596831	C₂³	1	2	yes	—
166	C₈×Dic₇₃	C₂³	1	2	yes	—
167	C₈×Dic₇₃	C₂³	1	2	yes	—
168	C₂×#41×C₇₃	C₂³	1	2	yes	—
169	#135×C₇₃	C₂×C₄	1	2	yes	complemented
170	#135×C₇₃	C₂×C₄	1	2	yes	complemented
171	#135×C₇₃	C₂³	1	2	yes	—
172	#135×C₇₃	C₂³	1	2	yes	—
173	C₂×Q₁₆×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
174	C₂×SD₁₆×C₇₃	C₂×C₄	1	2	yes	complemented
175	C₂×D₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
176	#131×C₇₃	—	2	2	no	—
177	#131×C₇₃	—	2	2	no	—
178	#131×C₇₃	C₂³	1	4	yes	—
179	#131×C₇₃	C₂³	1	4	yes	—
180	C₂×M₁₆×C₇₃	—	2	2	no	—
181	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
182	C₂²×C₈×C₇₃	—	2	2	no	—
183	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
184	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
186	#108×C₇₃	C₂³	1	2	yes	—
187	#108×C₇₃	C₂³	1	2	yes	—
188	#104×C₇₃	C₂³	1	4	yes	—
189	#104×C₇₃	C₂³	1	4	yes	—
190	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
191	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
192	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
193	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
194	#11924029	—	2	4	no	—
195	#11924029	C₂²×C₄	1	8	yes	—
196	#11924028	—	2	2	no	—
197	#11924028	—	2	2	no	—
198	#11924028	—	2	8	no	—
199	#11924028	—	2	4	no	—
200	#11924028	—	2	8	no	—
201	#11924028	—	2	4	no	—
202	#11924028	C₂²×C₄	1	2	yes	—
203	#11924028	C₂²×C₄	1	2	yes	—
204	#11924028	C₂²×C₄	1	4	yes	—
205	#11924028	C₂×D₄	1	2	yes	—
206	#11924028	C₂×D₄	1	2	yes	—
207	#11924028	C₂⁴	1	4	yes	—
208	#11924027	—	2	8	no	—
209	#11924027	—	2	8	no	—
210	#11924027	—	2	4	no	—
211	#11924027	C₂²×C₄	1	8	yes	—
212	C₂×Dic₁₄₆	—	2	4	no	—
213	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
214	C₂×Dic₁₄₆	#41	1	1	yes	characteristic
215	Q₈×D₇₃	—	2	4	no	—
216	Q₈×D₇₃	C₂²×C₄	1	8	yes	—
217	C₂×D₂₉₂	—	2	4	no	—
218	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
219	C₂×D₂₉₂	#41	1	1	yes	characteristic
220	C₂×C₂²⋊D₇₃	—	2	2	no	—
221	C₂×C₂²⋊D₇₃	—	2	8	no	—
222	C₂×C₂²⋊D₇₃	#41	1	2	yes	—
223	D₄×D₇₃	—	2	8	no	—
224	D₄×D₇₃	—	2	8	no	—
225	D₄×D₇₃	—	2	4	no	—
226	D₄×D₇₃	C₂²×C₄	1	8	yes	—
227	C₂×C₄×D₇₃	—	2	2	no	—
228	C₂×C₄×D₇₃	—	2	8	no	—
229	C₂×C₄×D₇₃	—	2	2	no	—
230	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
231	Dic₂₉₂	C₂²×C₄	1	2	yes	—
232	Dic₂₉₂	C₂²×C₄	1	2	yes	—
233	#11924018	C₂²×C₄	1	8	yes	—
234	#11924017	C₂²×C₄	1	4	yes	—
235	#11924017	C₂²×C₄	1	4	yes	—
236	#11924016	C₂²×C₄	1	8	yes	—
237	#11924015	C₂²×C₄	1	8	yes	—
238	D₅₈₄	C₂²×C₄	1	2	yes	—
239	D₅₈₄	C₂²×C₄	1	2	yes	—
240	#11924013	C₂²×C₄	1	8	yes	—
241	#11924012	—	2	2	no	—
242	#11924012	—	2	8	no	—
243	#11924012	C₂²×C₄	1	2	yes	—
244	#11924012	C₂²×C₄	1	2	yes	—
245	#11924012	C₂×D₄	1	2	yes	—
246	#11924012	C₂×D₄	1	2	yes	—
247	#11924012	C₂⁴	1	4	yes	—
248	#11924011	—	2	8	no	—
249	#11924011	—	2	4	no	—
250	#11924011	—	2	4	no	—
251	#11924011	—	2	8	no	—
252	#11924011	C₂²×C₄	1	4	yes	—
253	#11924011	C₂²×C₄	1	4	yes	—
254	#11924011	C₂×D₄	1	4	yes	—
255	#11924011	C₂×D₄	1	4	yes	—
256	C₂×#10596831	—	2	2	no	—
257	C₂×#10596831	—	2	8	no	—
258	C₂×#10596831	C₂⁴	1	2	yes	—
259	C₂×#10596831	C₂⁴	1	2	yes	—
260	C₈×D₇₃	—	2	8	no	—
261	C₈×D₇₃	—	2	4	no	—
262	C₈×D₇₃	—	2	4	no	—
263	C₈×D₇₃	—	2	8	no	—
264	C₈×D₇₃	C₂²×C₄	1	4	yes	—
265	C₈×D₇₃	C₂²×C₄	1	4	yes	—
266	C₈×D₇₃	C₂×D₄	1	4	yes	—
267	C₈×D₇₃	C₂×D₄	1	4	yes	—
268	C₄⋊Dic₇₃	—	2	1	no	—
269	#11924007	—	2	2	no	—
270	C₂²⋊Dic₇₃	—	2	1	no	—
271	#11924005	—	2	2	no	—
272	C₄×Dic₇₃	—	2	2	no	—
273	C₄×Dic₇₃	C₂⁴	1	2	yes	—
274	#41×C₇₃	—	2	2	no	—
275	#41×C₇₃	—	2	2	no	—
276	#41×C₇₃	C₂²×C₄	1	4	yes	—
277	#41×C₇₃	C₂⁴	1	4	yes	—
278	C₂×Q₈×C₇₃	C₂²×C₄	1	2	yes	—
279	C₂×D₄×C₇₃	—	2	2	no	—
280	C₂×D₄×C₇₃	C₂²×C₄	1	2	yes	—
281	C₂²×C₄×C₇₃	—	2	2	no	—
282	C₂²×C₄×C₇₃	—	2	1	no	—
283	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
284	Q₁₆×C₇₃	C₂²×C₄	1	2	yes	—
285	Q₁₆×C₇₃	C₂²×C₄	1	2	yes	—
286	SD₁₆×C₇₃	C₂²×C₄	1	4	yes	—
287	SD₁₆×C₇₃	C₂²×C₄	1	4	yes	—
288	D₈×C₇₃	C₂²×C₄	1	2	yes	—
289	D₈×C₇₃	C₂²×C₄	1	2	yes	—
290	M₁₆×C₇₃	—	2	2	no	—
291	M₁₆×C₇₃	—	2	4	no	—
292	M₁₆×C₇₃	—	2	4	no	—
293	M₁₆×C₇₃	C₂⁴	1	4	yes	—
294	C₂×C₈×C₇₃	—	2	2	no	—
295	C₂×C₈×C₇₃	—	2	4	no	—
296	C₂×C₈×C₇₃	—	2	4	no	—
297	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
298	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
299	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
300	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
301	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
302	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
303	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
304	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
305	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
306	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
307	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
308	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
309	C₄²×C₇₃	—	2	1	no	—
310	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
311	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
312	C₂³×C₇₃	—	2	2	no	—
313	C₂³×C₇₃	C₂×#41	1	1	yes	characteristic
314	C₂²×D₇₃	—	2	2	no	—
315	C₂²×D₇₃	—	2	8	no	—
316	C₂²×D₇₃	C₂×#41	1	2	yes	—
317	Q₈×C₇₃	—	2	2	no	—
318	Q₈×C₇₃	C₂³×C₄	1	4	yes	—
319	D₄×C₇₃	—	2	4	no	—
320	D₄×C₇₃	—	2	4	no	—
321	D₄×C₇₃	—	2	2	no	—
322	D₄×C₇₃	C₂³×C₄	1	4	yes	—
323	C₂×C₄×C₇₃	—	2	2	no	—
324	C₂×C₄×C₇₃	—	2	1	no	—
325	C₂×C₄×C₇₃	—	2	4	no	—
326	C₂×C₄×C₇₃	—	2	4	no	—
327	C₂×C₄×C₇₃	—	2	1	no	—
328	C₂×C₄×C₇₃	—	4	2	no	—
329	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
330	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
331	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
332	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
333	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
334	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
335	C₂²⋊D₇₃	—	2	4	no	—
336	C₂²⋊D₇₃	—	2	4	no	—
337	C₂²⋊D₇₃	—	2	8	no	—
338	C₂²⋊D₇₃	—	2	8	no	—
339	C₂²⋊D₇₃	C₄×D₄	1	4	yes	—
340	C₂²⋊D₇₃	C₄×D₄	1	4	yes	—
341	C₂×Dic₇₃	—	2	2	no	—
342	C₂×Dic₇₃	—	2	8	no	—
343	C₂×Dic₇₃	—	2	2	no	—
344	C₂×Dic₇₃	C₂×#41	1	2	yes	—
345	D₂₉₂	—	2	8	no	—
346	D₂₉₂	—	2	2	no	—
347	D₂₉₂	C₄×D₄	1	2	yes	—
348	D₂₉₂	C₄×D₄	1	2	yes	—
349	D₂₉₂	C₂³×C₄	1	4	yes	—
350	C₄×D₇₃	—	2	8	no	—
351	C₄×D₇₃	—	2	4	no	—
352	C₄×D₇₃	—	2	4	no	—
353	C₄×D₇₃	—	2	8	no	—
354	C₄×D₇₃	—	4	4	no	—
355	C₄×D₇₃	C₂³×C₄	1	4	yes	—
356	C₄×D₇₃	C₂²×D₄	1	4	yes	—
357	Dic₁₄₆	—	2	2	no	—
358	Dic₁₄₆	—	2	8	no	—
359	Dic₁₄₆	C₄×D₄	1	2	yes	—
360	Dic₁₄₆	C₄×D₄	1	2	yes	—
361	Dic₁₄₆	C₂³×C₄	1	4	yes	—
362	C₈×C₇₃	—	2	4	no	—
363	C₈×C₇₃	C₂³×C₄	1	1	yes	characteristic
364	C₈×C₇₃	C₂³×C₄	1	1	yes	characteristic
365	C₈×C₇₃	C₂³×C₄	1	1	yes	characteristic
366	C₈×C₇₃	C₂³×C₄	1	1	yes	characteristic
367	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
368	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
369	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
370	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
371	#10596831	—	2	4	no	—
372	#10596831	C₂³×C₄	1	4	yes	—
373	#10596831	C₂²×D₄	1	4	yes	—
374	C₂²×C₇₃	—	2	4	no	—
375	C₂²×C₇₃	—	4	1	no	—
376	C₂²×C₇₃	—	8	2	no	—
377	C₂²×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
378	C₂²×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
379	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
380	C₂×D₇₃	—	2	4	no	—
381	C₂×D₇₃	—	4	2	no	—
382	C₂×D₇₃	—	8	8	no	—
383	C₂×D₇₃	—	8	2	no	—
384	C₂×D₇₃	C₂×C₄×D₄	1	4	yes	—
385	C₄×C₇₃	—	2	2	no	—
386	C₄×C₇₃	—	2	4	no	—
387	C₄×C₇₃	—	4	1	no	—
388	C₄×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
389	C₄×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
390	C₄×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
391	C₄×C₇₃	C₂³×D₄	1	1	yes	characteristic
392	Dic₇₃	—	2	4	no	—
393	Dic₇₃	—	4	2	no	—
394	Dic₇₃	C₂×C₄×D₄	1	4	yes	—
395	#60183	—	73	1	no	maximal, Sylow
396	C₂×C₇₃	—	2	1	no	—
397	C₂×C₇₃	—	2	1	no	—
398	C₂×C₇₃	—	2	1	no	—
399	C₂×C₇₃	—	4	4	no	—
400	C₂×C₇₃	C₂²×C₄×D₄	1	1	yes	characteristic
401	D₇₃	—	2	4	no	—
402	D₇₃	—	4	4	no	—
403	#3584	—	73	1	no	—
404	#3573	—	73	2	no	—
405	#2957	—	73	4	no	—
406	#2957	—	73	1	no	—
407	#2957	—	73	1	no	—
408	#2956	—	73	4	no	—
409	#2956	—	73	2	no	—
410	#2955	—	73	4	no	—
411	#2955	—	73	2	no	—
412	C₂×#443	—	73	4	no	—
413	C₂×#443	—	73	1	no	—
414	C₂×#443	D₇₃	1	1	yes	characteristic, complemented
415	#2916	—	73	1	no	—
416	#2901	—	73	2	no	—
417	C₄×#131	—	73	1	no	—
418	C₇₃	#60183	1	1	yes	characteristic, complemented, Sylow
419	#585	—	73	2	no	—
420	#578	—	73	2	no	—
421	#578	—	73	2	no	—
422	#577	—	73	4	no	—
423	#577	—	73	4	no	—
424	#576	—	73	2	no	—
425	#576	—	73	2	no	—
426	#575	—	73	2	no	—
427	#575	—	73	4	no	—
428	C₂×#135	—	73	4	no	—
429	C₂×#135	—	73	1	no	—
430	C₂×#135	C₂×D₇₃	1	1	yes	characteristic
431	#568	—	73	2	no	—
432	#568	—	73	2	no	—
433	#568	—	73	8	no	—
434	#568	—	73	2	no	—
435	#568	—	146	4	no	—
436	#568	—	146	4	no	—
437	C₂×#131	—	73	1	no	—
438	C₂×#131	—	73	1	no	—
439	C₂×#131	—	73	8	no	—
440	C₂×#131	—	73	2	no	—
441	C₂×#131	—	146	4	no	—
442	C₂×#131	—	146	4	no	—
443	C₂×#131	C₂×D₇₃	1	2	yes	complemented
444	C₄×#41	—	73	1	no	—
445	#444	—	73	4	no	—
446	#444	—	73	8	no	—
447	#444	—	73	4	no	—
448	#444	—	73	8	no	—
449	#443	—	73	4	no	—
450	#443	—	73	8	no	—
451	#443	—	73	4	no	—
452	#443	—	73	8	no	—
453	#443	—	73	2	no	—
454	#443	—	73	2	no	—
455	#443	—	73	2	no	—
456	#443	—	73	2	no	—
457	#443	C₂×D₇₃	1	2	yes	complemented
458	#443	C₂×D₇₃	1	2	yes	complemented
459	#443	C₂×D₇₃	1	2	yes	complemented
460	#443	C₂×D₇₃	1	2	yes	complemented
461	#430	—	73	2	no	—
462	#430	—	73	4	no	—
463	C₂×#108	—	73	1	no	—
464	C₂×#108	—	73	4	no	—
465	C₂×#108	C₂×D₇₃	1	1	yes	characteristic, complemented
466	#421	—	73	2	no	—
467	#421	—	73	2	no	—
468	#421	—	73	8	no	—
469	C₂×#104	—	73	2	no	—
470	C₂×#104	—	73	8	no	—
471	C₂×#104	C₂×D₇₃	1	2	yes	complemented
472	#405	—	73	1	no	—
473	#405	—	73	1	no	—
474	#405	—	73	2	no	—
475	#405	—	73	2	no	—
476	C₄×M₁₆	—	73	1	no	—
477	C₄×M₁₆	—	73	2	no	—
478	C₂×C₄×C₈	—	73	2	no	—
479	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic, complemented
480	2₋¹⁺⁴	—	73	4	no	—
481	2₋¹⁺⁴	—	73	4	no	—
482	2₋¹⁺⁴	—	146	2	no	—
483	H(5,𝔽₂)	—	73	4	no	—
484	H(5,𝔽₂)	—	73	4	no	—
485	H(5,𝔽₂)	—	146	4	no	—
486	H(5,𝔽₂)	—	146	2	no	—
487	C₂×#41	—	73	1	no	—
488	C₂×#41	—	73	8	no	—
489	C₂×#41	—	73	2	no	—
490	C₂×#41	—	146	4	no	—
491	C₂×#41	—	146	4	no	—
492	C₂×#41	C₂²×D₇₃	1	2	yes	—
493	#137	—	73	4	no	—
494	#137	—	73	4	no	—
495	#137	—	73	8	no	—
496	#137	—	73	8	no	—
497	AGL(1,ℤ/8)	—	73	4	no	—
498	AGL(1,ℤ/8)	—	73	4	no	—
499	AGL(1,ℤ/8)	—	73	8	no	—
500	AGL(1,ℤ/8)	—	73	8	no	—
501	#135	—	73	8	no	—
502	#135	—	73	4	no	—
503	#135	—	73	8	no	—
504	#135	—	73	4	no	—
505	#135	—	73	2	no	—
506	#135	—	73	2	no	—
507	#135	—	73	2	no	—
508	#135	—	73	2	no	—
509	#135	C₄×D₇₃	1	2	yes	complemented
510	#135	C₄×D₇₃	1	2	yes	complemented
511	#135	C₂²×D₇₃	1	2	yes	—
512	#135	C₂²×D₇₃	1	2	yes	—
513	C₂×Q₁₆	—	73	4	no	—
514	C₂×Q₁₆	—	73	1	no	—
515	C₂×Q₁₆	C₄×D₇₃	1	1	yes	characteristic, complemented
516	C₂×SD₁₆	—	73	8	no	—
517	C₂×SD₁₆	—	73	2	no	—
518	C₂×SD₁₆	C₄×D₇₃	1	2	yes	complemented
519	C₂×D₈	—	73	4	no	—
520	C₂×D₈	—	73	1	no	—
521	C₂×D₈	C₄×D₇₃	1	1	yes	characteristic, complemented
522	#131	—	2	2	no	—
523	#131	—	2	2	no	—
524	#131	—	73	2	no	—
525	#131	—	73	2	no	—
526	#131	—	73	2	no	—
527	#131	—	73	2	no	—
528	#131	—	73	2	no	—
529	#131	—	73	2	no	—
530	#131	—	73	2	no	—
531	#131	—	73	2	no	—
532	#131	—	73	8	no	—
533	#131	—	73	8	no	—
534	#131	—	73	4	no	—
535	#131	—	73	4	no	—
536	#131	—	146	8	no	—
537	#131	—	146	4	no	—
538	#131	—	146	8	no	—
539	#131	—	146	4	no	—
540	#131	—	146	8	no	—
541	#131	—	146	8	no	—
542	#131	—	146	4	no	—
543	#131	—	146	4	no	—
544	#131	—	146	2	no	—
545	#131	—	146	2	no	—
546	#131	C₂²×D₇₃	1	4	yes	—
547	#131	C₂²×D₇₃	1	4	yes	—
548	C₂×M₁₆	—	2	2	no	—
549	C₂×M₁₆	—	73	1	no	—
550	C₂×M₁₆	—	73	1	no	—
551	C₂×M₁₆	—	73	2	no	—
552	C₂×M₁₆	—	73	2	no	—
553	C₂×M₁₆	—	73	2	no	—
554	C₂×M₁₆	—	73	8	no	—
555	C₂×M₁₆	—	146	8	no	—
556	C₂×M₁₆	—	146	8	no	—
557	C₂×M₁₆	—	146	4	no	—
558	C₂×M₁₆	—	146	8	no	—
559	C₂×M₁₆	—	146	4	no	—
560	C₂×M₁₆	—	146	2	no	—
561	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
562	C₂²×C₈	—	2	2	no	—
563	C₂²×C₈	—	73	2	no	—
564	C₂²×C₈	—	73	2	no	—
565	C₂²×C₈	—	146	8	no	—
566	C₂²×C₈	—	146	2	no	—
567	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
568	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
569	C₄×Q₈	—	146	1	no	—
570	C₄×D₄	—	146	1	no	—
571	C₄×D₄	—	146	2	no	—
572	#117	—	73	1	no	—
573	#117	—	73	2	no	—
574	C₂×C₄²	—	73	2	no	—
575	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
576	#108	—	73	8	no	—
577	#108	—	73	2	no	—
578	#108	—	73	2	no	—
579	#108	C₂²×D₇₃	1	2	yes	—
580	#108	C₂²×D₇₃	1	2	yes	—
581	#104	—	73	8	no	—
582	#104	—	73	8	no	—
583	#104	—	73	4	no	—
584	#104	—	73	4	no	—
585	#104	C₂²×D₇₃	1	4	yes	—
586	#104	C₂²×D₇₃	1	4	yes	—
587	#97	—	73	2	no	—
588	#97	—	73	2	no	—
589	#97	—	73	2	no	—
590	C₄×C₈	—	73	2	no	—
591	C₄×C₈	—	73	2	no	—
592	C₄×C₈	—	73	2	no	—
593	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
594	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
595	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
596	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
597	#41	—	2	2	no	—
598	#41	—	2	2	no	—
599	#41	—	73	2	no	—
600	#41	—	73	2	no	—
601	#41	—	73	2	no	—
602	#41	—	73	2	no	—
603	#41	—	73	8	no	—
604	#41	—	73	8	no	—
605	#41	—	73	4	no	—
606	#41	—	73	4	no	—
607	#41	—	146	8	no	—
608	#41	—	146	8	no	—
609	#41	—	146	4	no	—
610	#41	—	146	4	no	—
611	#41	—	146	8	no	—
612	#41	—	146	8	no	—
613	#41	—	146	4	no	—
614	#41	—	146	4	no	—
615	#41	—	146	2	no	—
616	#41	—	146	2	no	—
617	#41	C₂×C₄×D₇₃	1	4	yes	—
618	#41	C₂³×D₇₃	1	4	yes	—
619	C₂×Q₈	—	73	1	no	—
620	C₂×Q₈	—	73	8	no	—
621	C₂×Q₈	—	73	2	no	—
622	C₂×Q₈	—	146	4	no	—
623	C₂×Q₈	—	146	4	no	—
624	C₂×Q₈	C₂×C₄×D₇₃	1	2	yes	—
625	C₂×D₄	—	2	2	no	—
626	C₂×D₄	—	73	2	no	—
627	C₂×D₄	—	73	8	no	—
628	C₂×D₄	—	73	2	no	—
629	C₂×D₄	—	73	1	no	—
630	C₂×D₄	—	146	4	no	—
631	C₂×D₄	—	146	8	no	—
632	C₂×D₄	—	146	4	no	—
633	C₂×D₄	—	146	8	no	—
634	C₂×D₄	—	146	8	no	—
635	C₂×D₄	—	146	2	no	—
636	C₂×D₄	C₂×C₄×D₇₃	1	2	yes	—
637	C₂²×C₄	—	2	2	no	—
638	C₂²×C₄	—	2	1	no	—
639	C₂²×C₄	—	73	2	no	—
640	C₂²×C₄	—	146	2	no	—
641	C₂²×C₄	—	146	8	no	—
642	C₂²×C₄	—	146	2	no	—
643	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
644	Q₁₆	—	73	8	no	—
645	Q₁₆	—	73	2	no	—
646	Q₁₆	—	73	2	no	—
647	Q₁₆	C₂×C₄×D₇₃	1	2	yes	—
648	Q₁₆	C₂×C₄×D₇₃	1	2	yes	—
649	SD₁₆	—	73	8	no	—
650	SD₁₆	—	73	8	no	—
651	SD₁₆	—	73	4	no	—
652	SD₁₆	—	73	4	no	—
653	SD₁₆	C₂×C₄×D₇₃	1	4	yes	—
654	SD₁₆	C₂×C₄×D₇₃	1	4	yes	—
655	D₈	—	73	8	no	—
656	D₈	—	73	2	no	—
657	D₈	—	73	2	no	—
658	D₈	C₂×C₄×D₇₃	1	2	yes	—
659	D₈	C₂×C₄×D₇₃	1	2	yes	—
660	M₁₆	—	2	2	no	—
661	M₁₆	—	2	4	no	—
662	M₁₆	—	2	4	no	—
663	M₁₆	—	73	2	no	—
664	M₁₆	—	73	2	no	—
665	M₁₆	—	73	2	no	—
666	M₁₆	—	73	2	no	—
667	M₁₆	—	73	4	no	—
668	M₁₆	—	73	4	no	—
669	M₁₆	—	73	4	no	—
670	M₁₆	—	73	4	no	—
671	M₁₆	—	73	4	no	—
672	M₁₆	—	146	8	no	—
673	M₁₆	—	146	8	no	—
674	M₁₆	—	146	8	no	—
675	M₁₆	—	146	2	no	—
676	M₁₆	—	146	4	no	—
677	M₁₆	—	146	4	no	—
678	M₁₆	C₂³×D₇₃	1	4	yes	—
679	C₂×C₈	—	2	2	no	—
680	C₂×C₈	—	2	4	no	—
681	C₂×C₈	—	2	4	no	—
682	C₂×C₈	—	73	2	no	—
683	C₂×C₈	—	73	2	no	—
684	C₂×C₈	—	73	4	no	—
685	C₂×C₈	—	73	4	no	—
686	C₂×C₈	—	73	4	no	—
687	C₂×C₈	—	73	4	no	—
688	C₂×C₈	—	146	8	no	—
689	C₂×C₈	—	146	8	no	—
690	C₂×C₈	—	146	8	no	—
691	C₂×C₈	—	146	2	no	—
692	C₂×C₈	—	146	4	no	—
693	C₂×C₈	—	146	4	no	—
694	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
695	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
696	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
697	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
698	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
699	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
700	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
701	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
702	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
703	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
704	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
705	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
706	C₄⋊C₄	—	146	2	no	—
707	C₄⋊C₄	—	146	1	no	—
708	C₂²⋊C₄	—	146	2	no	—
709	C₂²⋊C₄	—	146	1	no	—
710	C₄²	—	2	1	no	—
711	C₄²	—	73	2	no	—
712	C₄²	—	146	2	no	—
713	C₄²	C₂³×D₇₃	1	1	yes	characteristic
714	C₄²	C₂³×D₇₃	1	1	yes	characteristic
715	C₂³	—	2	2	no	—
716	C₂³	—	73	2	no	—
717	C₂³	—	146	8	no	—
718	C₂³	—	146	2	no	—
719	C₂³	#41×D₇₃	1	1	yes	characteristic
720	Q₈	—	2	2	no	—
721	Q₈	—	73	2	no	—
722	Q₈	—	73	2	no	—
723	Q₈	—	73	4	no	—
724	Q₈	—	146	8	no	—
725	Q₈	—	146	2	no	—
726	Q₈	C₂²×C₄×D₇₃	1	4	yes	—
727	D₄	—	2	4	no	—
728	D₄	—	2	4	no	—
729	D₄	—	2	2	no	—
730	D₄	—	73	4	no	—
731	D₄	—	73	4	no	—
732	D₄	—	73	4	no	—
733	D₄	—	73	2	no	—
734	D₄	—	73	2	no	—
735	D₄	—	146	8	no	—
736	D₄	—	146	8	no	—
737	D₄	—	146	8	no	—
738	D₄	—	146	4	no	—
739	D₄	—	146	4	no	—
740	D₄	—	146	2	no	—
741	D₄	C₂²×C₄×D₇₃	1	4	yes	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	2	no	—
744	C₂×C₄	—	2	4	no	—
745	C₂×C₄	—	2	4	no	—
746	C₂×C₄	—	2	1	no	—
747	C₂×C₄	—	4	2	no	—
748	C₂×C₄	—	292	4	no	—
749	C₂×C₄	—	73	2	no	—
750	C₂×C₄	—	73	4	no	—
751	C₂×C₄	—	73	4	no	—
752	C₂×C₄	—	146	8	no	—
753	C₂×C₄	—	146	8	no	—
754	C₂×C₄	—	146	2	no	—
755	C₂×C₄	—	146	8	no	—
756	C₂×C₄	—	146	2	no	—
757	C₂×C₄	—	146	4	no	—
758	C₂×C₄	—	146	4	no	—
759	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
760	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
761	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
762	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
763	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
764	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
765	C₈	—	2	4	no	—
766	C₈	—	73	4	no	—
767	C₈	—	73	4	no	—
768	C₈	—	146	4	no	—
769	C₈	C₂²×C₄×D₇₃	1	1	yes	characteristic
770	C₈	C₂²×C₄×D₇₃	1	1	yes	characteristic
771	C₈	C₂²×C₄×D₇₃	1	1	yes	characteristic
772	C₈	C₂²×C₄×D₇₃	1	1	yes	characteristic
773	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
774	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
775	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
776	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
777	C₂²	—	2	4	no	—
778	C₂²	—	4	1	no	—
779	C₂²	—	8	2	no	—
780	C₂²	—	292	2	no	—
781	C₂²	—	584	2	no	—
782	C₂²	—	584	8	no	—
783	C₂²	—	73	4	no	—
784	C₂²	—	146	4	no	—
785	C₂²	C₄×D₄×D₇₃	1	1	yes	characteristic
786	C₂²	C₄×D₄×D₇₃	1	1	yes	characteristic
787	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
788	C₄	—	2	2	no	—
789	C₄	—	2	4	no	—
790	C₄	—	4	1	no	—
791	C₄	—	292	2	no	—
792	C₄	—	73	4	no	—
793	C₄	—	146	4	no	—
794	C₄	C₄×D₄×D₇₃	1	1	yes	characteristic
795	C₄	C₄×D₄×D₇₃	1	1	yes	characteristic
796	C₄	C₂³×C₄×D₇₃	1	1	yes	characteristic
797	C₄	C₂²×D₄×D₇₃	1	1	yes	characteristic
798	C₂	—	2	1	no	—
799	C₂	—	2	1	no	—
800	C₂	—	2	1	no	—
801	C₂	—	4	4	no	—
802	C₂	—	292	4	no	—
803	C₂	—	146	4	no	—
804	C₂	C₂×C₄×D₄×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×D₄×D₇₃
commutator	C₄×C₇₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₂×#443×C₇₃	C₂
socle	C₂×C₇₃	C₂²×C₄×D₄
prime radical	#22624700	C₂
cosocle	C₂×C₄×C₇₃	C₂⁵
hypercenter	C₂×#443	D₇₃
hypocenter	C₇₃	#60183
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₈ ◁ C₂²×C₈ ◁ C₂×#443

Complements

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

N	H ≅ G/N	type
2. #22624642	C₂	semidirect
3. #22618848	C₂	semidirect
4. #22618847	C₂	semidirect
5. #22618843	C₂	semidirect
6. #22618837	C₂	semidirect
7. #22618836	C₂	semidirect
8. #22618832	C₂	semidirect
9. #22618829	C₂	semidirect
10. C₂×#17988705	C₂	semidirect
11. #443×D₇₃	C₂	semidirect
12. #22618539	C₂	semidirect
13. #22618475	C₂	semidirect
14. C₄×#14556597	C₂	semidirect
15. C₂×#443×C₇₃	C₂	semidirect
17. #17989401	C₄	semidirect
18. #17989400	C₄	semidirect
19. #17989394	C₄	semidirect
20. #17989393	C₄	semidirect
21. #17989389	C₄	semidirect
22. #17989388	C₄	semidirect
27. #17989354	C₂²	semidirect
30. #17989353	C₂²	semidirect
32. #17989352	C₂²	semidirect
36. C₂×#14556597	C₂²	semidirect
38. #131×D₇₃	C₂²	semidirect
40. #17988709	C₂²	semidirect
41. #17988708	C₂²	semidirect
42. #17988707	C₂²	semidirect
43. #17988706	C₂²	semidirect
44. #17988705	C₂²	semidirect
45. #17988705	C₂²	semidirect
46. #17988705	C₂²	semidirect
47. #17988705	C₂²	semidirect
48. #17988704	C₂²	semidirect
49. #17988703	C₂²	semidirect
50. #17988702	C₂²	semidirect
51. #17988701	C₂²	semidirect
52. #17988635	C₂²	semidirect
53. #17988634	C₂²	semidirect
54. C₂×#14556527	C₂²	semidirect
55. #108×D₇₃	C₂²	semidirect
56. #17988604	C₂²	semidirect
57. #17988603	C₂²	semidirect
58. #17988602	C₂²	semidirect
59. C₂×#14556519	C₂²	semidirect
60. #104×D₇₃	C₂²	semidirect
61. #17988542	C₂²	semidirect
62. #17988542	C₂²	semidirect
63. #17988541	C₂²	semidirect
64. #17988541	C₂²	semidirect
65. C₄×#11924012	C₂²	semidirect
66. C₄×#11924011	C₂²	semidirect
67. C₄×C₈×D₇₃	C₂²	semidirect
69. C₂×#131×C₇₃	C₂²	semidirect
70. #443×C₇₃	C₂²	semidirect
71. #443×C₇₃	C₂²	semidirect
72. #443×C₇₃	C₂²	semidirect
73. #443×C₇₃	C₂²	semidirect
74. C₂×#108×C₇₃	C₂²	semidirect
75. C₂×#104×C₇₃	C₂²	semidirect
76. C₂×C₄×C₈×C₇₃	C₂²	semidirect
89. #14556623	C₂×C₄	semidirect
90. #14556622	C₂×C₄	semidirect
91. #14556621	C₂×C₄	semidirect
92. #14556620	C₂×C₄	semidirect
93. #14556618	C₂×C₄	semidirect
94. #14556617	C₂×C₄	semidirect
95. #14556616	C₂×C₄	semidirect
96. #14556615	C₂×C₄	semidirect
97. #14556614	C₂×C₄	semidirect
98. #14556613	C₂×C₄	semidirect
99. #14556613	C₂×C₄	semidirect
102. #14556612	C₂×C₄	semidirect
104. #14556610	C₂×C₄	semidirect
105. C₂×Dic₂₉₂	C₂×C₄	semidirect
106. Q₁₆×D₇₃	C₂×C₄	semidirect
107. C₂×#11924017	C₂×C₄	semidirect
108. SD₁₆×D₇₃	C₂×C₄	semidirect
109. C₂×D₅₈₄	C₂×C₄	semidirect
110. D₈×D₇₃	C₂×C₄	semidirect
169. #135×C₇₃	C₂×C₄	semidirect
170. #135×C₇₃	C₂×C₄	semidirect
173. C₂×Q₁₆×C₇₃	C₂×C₄	semidirect
174. C₂×SD₁₆×C₇₃	C₂×C₄	semidirect
175. C₂×D₈×C₇₃	C₂×C₄	semidirect
414. C₂×#443	D₇₃	semidirect
418. C₇₃	#60183	semidirect
443. C₂×#131	C₂×D₇₃	semidirect
457. #443	C₂×D₇₃	semidirect
458. #443	C₂×D₇₃	semidirect
459. #443	C₂×D₇₃	semidirect
460. #443	C₂×D₇₃	semidirect
465. C₂×#108	C₂×D₇₃	semidirect
471. C₂×#104	C₂×D₇₃	semidirect
479. C₂×C₄×C₈	C₂×D₇₃	semidirect
509. #135	C₄×D₇₃	semidirect
510. #135	C₄×D₇₃	semidirect
515. C₂×Q₁₆	C₄×D₇₃	semidirect
518. C₂×SD₁₆	C₄×D₇₃	semidirect
521. C₂×D₈	C₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22624700	2
#22624642	2
#22618848	2
#22618847	2
#22618843	2
#22618837	2
#22618836	2
#22618832	2
#22618829	2
C₂×#17988705	2
#443×D₇₃	2
#22618539	2
#22618475	2
C₄×#14556597	2
C₂×#443×C₇₃	2
#60183	73