Subgroups — #33077474

Order 18688.

710 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22622156	C₂	1	2	yes	maximal, complemented
2	D₈×D₂₉₂	C₂	1	1	yes	maximal, characteristic
3	#22609538	C₂	1	1	yes	maximal, characteristic, complemented
4	#22609494	C₂	1	2	yes	maximal, complemented
5	#22609293	C₂	1	1	yes	maximal, characteristic, complemented
6	#22609291	C₂	1	1	yes	maximal, characteristic, complemented
7	#22609108	C₂	1	2	yes	maximal, complemented
8	#22609041	C₂	1	2	yes	maximal, complemented
9	#22608816	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈×#11924015	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#3393	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₈×D₇₃	—	2	1	no	—
13	D₄×D₂₉₂	C₂²	1	2	yes	—
14	#17988964	C₂²	1	1	yes	characteristic
15	#17988935	C₂²	1	2	yes	complemented
16	#17988935	C₂²	1	2	yes	complemented
17	#17988911	—	2	2	no	—
18	#17988864	C₂²	1	2	yes	—
19	#17988835	—	2	2	no	—
20	#17988824	—	2	1	no	—
21	#17988787	C₂²	1	2	yes	complemented
22	#17988782	C₂²	1	2	yes	—
23	#17988737	—	2	2	no	—
24	#17988722	—	2	2	no	—
25	C₄×#11924015	C₂²	1	1	yes	characteristic
26	#17988665	C₂²	1	2	yes	complemented
27	C₈×D₂₉₂	C₂²	1	1	yes	characteristic
28	#17988591	—	2	2	no	—
29	#17988340	C₂²	1	1	yes	characteristic, complemented
30	#17988337	C₂²	1	1	yes	characteristic, complemented
31	#17988333	C₂²	1	2	yes	complemented
32	#17988330	C₂²	1	2	yes	complemented
33	Q₈⋊#10596831	C₂²	1	1	yes	characteristic, complemented
34	D₄⋊#10596831	C₂²	1	2	yes	complemented
35	#17988314	C₂²	1	1	yes	characteristic
36	C₈×#10596831	C₂²	1	1	yes	characteristic, complemented
37	#556×C₇₃	C₂²	1	2	yes	complemented
38	#495×C₇₃	—	2	1	no	—
39	#494×C₇₃	C₂²	1	1	yes	characteristic, complemented
40	#464×C₇₃	—	2	2	no	—
41	#461×C₇₃	C₂²	1	2	yes	complemented
42	C₈×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
43	C₄×Q₁₆×C₇₃	—	2	1	no	—
44	C₄×D₈×C₇₃	C₂²	1	1	yes	characteristic
45	C₂²×D₂₉₂	—	2	2	no	—
46	C₂×D₄×D₇₃	—	2	2	no	—
47	C₂×#11924015	—	2	2	no	—
48	C₂×#11924015	D₄	1	1	yes	characteristic
49	C₂×D₅₈₄	—	2	1	no	—
50	C₂×D₅₈₄	—	2	1	no	—
51	C₂×#11924013	—	2	2	no	—
52	D₈×D₇₃	—	4	4	no	—
53	C₂×#11924012	—	2	2	no	—
54	C₂×C₈×D₇₃	—	2	1	no	—
55	#14556588	C₂³	1	2	yes	—
56	#14556566	—	2	2	no	—
57	#14556565	—	2	2	no	—
58	#14556561	—	4	2	no	—
59	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
60	#14556524	—	2	2	no	—
61	#14556522	D₄	1	1	yes	characteristic
62	C₄⋊#10596831	C₂³	1	2	yes	—
63	C₄⋊#10596831	C₂³	1	1	yes	characteristic
64	#14556515	D₄	1	1	yes	characteristic
65	#14556511	—	2	2	no	—
66	#14556511	—	2	2	no	—
67	#14556511	—	2	2	no	—
68	#14556511	—	2	2	no	—
69	#14556511	—	2	2	no	—
70	#14556511	—	4	2	no	—
71	#14556511	D₄	1	1	yes	characteristic
72	C₂²⋊#10596831	—	2	2	no	—
73	#14556503	—	2	1	no	—
74	C₄×#10596831	C₂³	1	1	yes	characteristic
75	C₄×#10596831	C₂³	1	1	yes	characteristic
76	C₂×Q₁₆×C₇₃	—	2	1	no	—
77	C₂×Q₁₆×C₇₃	—	2	1	no	—
78	C₂×SD₁₆×C₇₃	—	2	2	no	—
79	C₂×D₈×C₇₃	D₄	1	1	yes	characteristic
80	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
81	#126×C₇₃	—	4	2	no	—
82	#124×C₇₃	—	2	2	no	—
83	C₂²⋊Q₈×C₇₃	—	2	2	no	—
84	C₄×Q₈×C₇₃	—	2	2	no	—
85	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
86	C₄×D₄×C₇₃	C₂³	1	2	yes	—
87	#117×C₇₃	—	2	2	no	—
88	#107×C₇₃	D₄	1	1	yes	characteristic
89	C₄⋊C₈×C₇₃	—	2	1	no	—
90	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
91	#103×C₇₃	—	2	2	no	—
92	#102×C₇₃	D₄	1	2	yes	—
93	C₄×C₈×C₇₃	—	2	1	no	—
94	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
95	C₂³×D₇₃	—	4	2	no	—
96	C₂×D₂₉₂	—	2	2	no	—
97	C₂×D₂₉₂	—	2	2	no	—
98	C₂×D₂₉₂	—	2	2	no	—
99	C₂×D₂₉₂	—	4	4	no	—
100	C₂×D₂₉₂	—	4	2	no	—
101	C₂×D₂₉₂	—	8	2	no	—
102	C₂×D₂₉₂	C₂×D₄	1	1	yes	characteristic
103	C₂×C₂²⋊D₇₃	—	4	2	no	—
104	D₄×D₇₃	—	4	4	no	—
105	D₄×D₇₃	—	8	2	no	—
106	C₂×C₄×D₇₃	—	2	1	no	—
107	#11924015	—	2	2	no	—
108	#11924015	—	8	2	no	—
109	D₅₈₄	—	4	2	no	—
110	D₅₈₄	—	8	1	no	—
111	#11924013	—	4	4	no	—
112	#11924012	—	8	2	no	—
113	C₂×#10596831	—	2	1	no	—
114	C₂×#10596831	—	2	2	no	—
115	C₂×#10596831	—	2	1	no	—
116	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
117	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
118	C₈×D₇₃	—	4	2	no	—
119	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
120	#11924005	—	2	1	no	—
121	#11924005	—	4	2	no	—
122	C₂×Q₈×C₇₃	—	2	2	no	—
123	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
124	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
125	C₂²×C₄×C₇₃	—	2	2	no	—
126	Q₁₆×C₇₃	—	4	2	no	—
127	Q₁₆×C₇₃	—	8	1	no	—
128	SD₁₆×C₇₃	—	8	2	no	—
129	D₈×C₇₃	—	2	2	no	—
130	C₂×C₈×C₇₃	—	2	1	no	—
131	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
132	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
133	C₄⋊C₄×C₇₃	—	2	1	no	—
134	C₄⋊C₄×C₇₃	—	2	2	no	—
135	C₄⋊C₄×C₇₃	—	2	2	no	—
136	C₄⋊C₄×C₇₃	—	4	2	no	—
137	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
138	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
139	C₂²⋊C₄×C₇₃	—	2	2	no	—
140	C₂²⋊C₄×C₇₃	—	4	2	no	—
141	C₂²⋊C₄×C₇₃	—	4	2	no	—
142	C₄²×C₇₃	—	2	1	no	—
143	C₄²×C₇₃	—	4	2	no	—
144	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
145	C₂³×C₇₃	—	2	2	no	—
146	C₂²×D₇₃	—	2	1	no	—
147	C₂²×D₇₃	—	4	2	no	—
148	C₂²×D₇₃	—	8	4	no	—
149	C₂²×D₇₃	—	8	4	no	—
150	C₂²×D₇₃	—	16	2	no	—
151	Q₈×C₇₃	—	2	1	no	—
152	Q₈×C₇₃	—	2	1	no	—
153	Q₈×C₇₃	—	4	2	no	—
154	Q₈×C₇₃	—	4	2	no	—
155	D₄×C₇₃	—	2	2	no	—
156	D₄×C₇₃	—	2	2	no	—
157	C₂×C₄×C₇₃	—	2	1	no	—
158	C₂×C₄×C₇₃	—	2	1	no	—
159	C₂×C₄×C₇₃	—	2	2	no	—
160	C₂×C₄×C₇₃	—	4	2	no	—
161	C₂×C₄×C₇₃	—	4	2	no	—
162	C₂×C₄×C₇₃	—	4	2	no	—
163	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₇₃	H(5,𝔽₂)	1	1	yes	characteristic
166	C₂²⋊D₇₃	—	8	4	no	—
167	C₂×Dic₇₃	—	2	1	no	—
168	D₂₉₂	—	2	1	no	—
169	D₂₉₂	—	4	2	no	—
170	D₂₉₂	—	4	2	no	—
171	D₂₉₂	—	4	2	no	—
172	D₂₉₂	—	4	2	no	—
173	D₂₉₂	—	8	2	no	—
174	D₂₉₂	—	8	4	no	—
175	D₂₉₂	#135	1	2	yes	—
176	C₄×D₇₃	—	4	1	no	—
177	C₄×D₇₃	—	4	1	no	—
178	C₈×C₇₃	—	2	1	no	—
179	C₈×C₇₃	—	4	1	no	—
180	C₈×C₇₃	AGL(1,ℤ/8)	1	2	yes	—
181	#10596831	—	2	1	no	—
182	#10596831	—	2	1	no	—
183	#10596831	—	4	1	no	—
184	#10596831	—	4	1	no	—
185	#10596831	—	4	2	no	—
186	C₂²×C₇₃	—	4	2	no	—
187	C₂²×C₇₃	—	4	2	no	—
188	C₂²×C₇₃	—	4	2	no	—
189	C₂²×C₇₃	D₄²	1	1	yes	characteristic
190	C₂×D₇₃	—	2	2	no	—
191	C₂×D₇₃	—	4	1	no	—
192	C₂×D₇₃	—	4	1	no	—
193	C₂×D₇₃	—	8	2	no	—
194	C₂×D₇₃	—	8	2	no	—
195	C₂×D₇₃	—	8	2	no	—
196	C₂×D₇₃	—	16	8	no	—
197	C₄×C₇₃	—	2	1	no	—
198	C₄×C₇₃	—	4	2	no	—
199	C₄×C₇₃	—	4	1	no	—
200	C₄×C₇₃	—	4	1	no	—
201	C₄×C₇₃	—	8	2	no	—
202	C₄×C₇₃	C₂×#135	1	1	yes	characteristic
203	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	C₄×C₇₃	#576	1	1	yes	characteristic
205	C₄×C₇₃	#576	1	1	yes	characteristic
206	Dic₇₃	—	4	1	no	—
207	#19900	—	73	1	no	maximal, Sylow
208	C₂×C₇₃	—	8	2	no	—
209	C₂×C₇₃	#3274	1	1	yes	characteristic
210	C₂×C₇₃	#3280	1	1	yes	characteristic
211	C₂×C₇₃	#3290	1	1	yes	characteristic
212	D₇₃	—	4	2	no	—
213	D₇₃	—	16	2	no	—
214	#3393	D₇₃	1	1	yes	characteristic, complemented
215	#3324	—	73	2	no	—
216	D₄×D₈	—	73	1	no	—
217	#1709	—	73	1	no	—
218	#1701	—	73	2	no	—
219	#1669	—	73	1	no	—
220	#1668	—	73	1	no	—
221	#1639	—	73	2	no	—
222	#1628	—	73	2	no	—
223	#1589	—	73	1	no	—
224	C₈×SD₁₆	—	73	1	no	—
225	C₇₃	#19900	1	1	yes	characteristic, complemented, Sylow
226	C₂²×D₈	—	146	1	no	—
227	#556	C₂×D₇₃	1	2	yes	complemented
228	D₄²	—	73	2	no	—
229	#495	—	2	1	no	—
230	#494	C₂×D₇₃	1	1	yes	characteristic, complemented
231	#493	—	73	1	no	—
232	#486	—	73	2	no	—
233	#486	—	73	2	no	—
234	#482	—	146	2	no	—
235	#474	—	73	2	no	—
236	#468	—	146	2	no	—
237	#466	—	146	1	no	—
238	#464	—	2	2	no	—
239	#461	C₂×D₇₃	1	2	yes	complemented
240	#460	—	73	2	no	—
241	#459	—	73	2	no	—
242	#450	—	146	2	no	—
243	#447	—	146	2	no	—
244	C₈×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
245	C₄×Q₁₆	—	2	1	no	—
246	C₄×SD₁₆	—	73	1	no	—
247	C₄×D₈	C₂×D₇₃	1	1	yes	characteristic
248	#436	—	73	2	no	—
249	C₈×D₄	—	73	1	no	—
250	#418	—	146	2	no	—
251	#335	—	73	1	no	—
252	#334	—	73	1	no	—
253	#332	—	73	2	no	—
254	#331	—	73	2	no	—
255	Q₈⋊C₈	—	73	1	no	—
256	D₄⋊C₈	—	73	2	no	—
257	D₄⋊C₈	—	73	1	no	—
258	C₈²	—	73	1	no	—
259	C₂²×D₄	—	146	2	no	—
260	C₂²×D₄	—	146	2	no	—
261	C₂×Q₁₆	—	2	1	no	—
262	C₂×Q₁₆	—	2	1	no	—
263	C₂×SD₁₆	—	2	2	no	—
264	C₂×SD₁₆	—	73	1	no	—
265	C₂×SD₁₆	—	146	2	no	—
266	C₂×D₈	—	292	4	no	—
267	C₂×D₈	—	146	2	no	—
268	C₂×D₈	—	146	1	no	—
269	C₂×D₈	—	146	1	no	—
270	C₂×D₈	C₂²⋊D₇₃	1	1	yes	characteristic
271	C₂×M₁₆	—	146	2	no	—
272	C₂²×C₈	—	146	1	no	—
273	C₄⋊Q₈	C₂²×D₇₃	1	2	yes	—
274	#127	—	73	2	no	—
275	#126	—	4	2	no	—
276	#124	—	2	2	no	—
277	C₂²⋊Q₈	—	2	2	no	—
278	#121	—	146	2	no	—
279	#121	—	146	2	no	—
280	#120	—	292	2	no	—
281	C₄×Q₈	—	2	2	no	—
282	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
283	C₄×D₄	—	73	1	no	—
284	C₄×D₄	C₂²×D₇₃	1	2	yes	—
285	#117	—	2	2	no	—
286	#107	—	146	2	no	—
287	#107	C₂²⋊D₇₃	1	1	yes	characteristic
288	#106	—	73	1	no	—
289	C₄⋊C₈	—	2	1	no	—
290	C₄⋊C₈	—	73	2	no	—
291	C₄⋊C₈	—	73	1	no	—
292	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
293	#103	—	2	2	no	—
294	#103	—	73	1	no	—
295	#102	—	292	2	no	—
296	#102	—	73	1	no	—
297	#102	—	146	2	no	—
298	#102	—	146	2	no	—
299	#102	—	146	2	no	—
300	#102	—	146	2	no	—
301	#102	—	146	2	no	—
302	#102	C₂²⋊D₇₃	1	2	yes	—
303	C₂²⋊C₈	—	146	2	no	—
304	C₂²⋊C₈	—	146	1	no	—
305	C₄×C₈	—	2	1	no	—
306	C₄×C₈	—	73	1	no	—
307	C₄×C₈	—	73	1	no	—
308	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
309	C₂⁴	—	292	2	no	—
310	C₂×Q₈	—	2	2	no	—
311	C₂×Q₈	D₄×D₇₃	1	1	yes	characteristic
312	C₂×D₄	—	292	2	no	—
313	C₂×D₄	—	292	4	no	—
314	C₂×D₄	—	292	4	no	—
315	C₂×D₄	—	292	2	no	—
316	C₂×D₄	—	584	2	no	—
317	C₂×D₄	—	584	2	no	—
318	C₂×D₄	—	73	1	no	—
319	C₂×D₄	—	146	2	no	—
320	C₂×D₄	—	146	2	no	—
321	C₂×D₄	—	146	2	no	—
322	C₂×D₄	C₂×C₂²⋊D₇₃	1	2	yes	—
323	C₂²×C₄	—	2	2	no	—
324	C₂²×C₄	—	146	1	no	—
325	Q₁₆	—	4	2	no	—
326	Q₁₆	—	8	1	no	—
327	SD₁₆	—	8	2	no	—
328	SD₁₆	—	584	2	no	—
329	SD₁₆	—	146	2	no	—
330	D₈	—	2	2	no	—
331	D₈	—	292	4	no	—
332	D₈	—	292	2	no	—
333	D₈	—	584	1	no	—
334	M₁₆	—	584	2	no	—
335	C₂×C₈	—	2	1	no	—
336	C₂×C₈	—	292	2	no	—
337	C₂×C₈	—	73	1	no	—
338	C₂×C₈	—	73	1	no	—
339	C₂×C₈	—	146	2	no	—
340	C₂×C₈	—	146	1	no	—
341	C₂×C₈	—	146	1	no	—
342	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
343	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	2	2	no	—
347	C₄⋊C₄	—	4	2	no	—
348	C₄⋊C₄	—	73	1	no	—
349	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
350	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
351	C₂²⋊C₄	—	2	2	no	—
352	C₂²⋊C₄	—	4	2	no	—
353	C₂²⋊C₄	—	4	2	no	—
354	C₂²⋊C₄	—	292	2	no	—
355	C₂²⋊C₄	—	146	1	no	—
356	C₄²	—	2	1	no	—
357	C₄²	—	4	2	no	—
358	C₄²	C₂³×D₇₃	1	1	yes	characteristic
359	C₂³	—	2	2	no	—
360	C₂³	—	292	2	no	—
361	C₂³	—	584	4	no	—
362	C₂³	—	584	4	no	—
363	C₂³	—	1168	2	no	—
364	C₂³	—	146	1	no	—
365	Q₈	—	2	1	no	—
366	Q₈	—	2	1	no	—
367	Q₈	—	4	2	no	—
368	Q₈	—	4	2	no	—
369	D₄	—	2	2	no	—
370	D₄	—	2	2	no	—
371	D₄	—	292	2	no	—
372	D₄	—	292	2	no	—
373	D₄	—	292	2	no	—
374	D₄	—	292	2	no	—
375	D₄	—	584	2	no	—
376	D₄	—	584	4	no	—
377	D₄	—	584	4	no	—
378	D₄	—	73	2	no	—
379	D₄	—	146	1	no	—
380	C₂×C₄	—	2	1	no	—
381	C₂×C₄	—	2	1	no	—
382	C₂×C₄	—	2	2	no	—
383	C₂×C₄	—	4	2	no	—
384	C₂×C₄	—	4	2	no	—
385	C₂×C₄	—	4	2	no	—
386	C₂×C₄	—	292	1	no	—
387	C₂×C₄	—	292	1	no	—
388	C₂×C₄	—	146	1	no	—
389	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
390	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
391	C₂×C₄	#14556636	1	1	yes	characteristic
392	C₈	—	2	1	no	—
393	C₈	—	4	1	no	—
394	C₈	—	292	1	no	—
395	C₈	—	292	2	no	—
396	C₈	—	292	1	no	—
397	C₈	—	146	1	no	—
398	C₈	—	146	1	no	—
399	C₈	#14556616	1	2	yes	—
400	C₂²	—	4	2	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	292	1	no	—
404	C₂²	—	292	1	no	—
405	C₂²	—	584	2	no	—
406	C₂²	—	584	2	no	—
407	C₂²	—	584	2	no	—
408	C₂²	—	1168	8	no	—
409	C₂²	—	146	2	no	—
410	C₂²	D₄×C₂²⋊D₇₃	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	4	1	no	—
413	C₄	—	4	2	no	—
414	C₄	—	4	1	no	—
415	C₄	—	8	2	no	—
416	C₄	—	292	1	no	—
417	C₄	#135×D₇₃	1	1	yes	characteristic
418	C₄	C₂×#14556616	1	1	yes	characteristic
419	C₄	#17989389	1	1	yes	characteristic
420	C₄	#17989390	1	1	yes	characteristic
421	C₂	—	8	2	no	—
422	C₂	—	292	2	no	—
423	C₂	—	1168	2	no	—
424	C₂	#22621551	1	1	yes	characteristic
425	C₂	#22621610	1	1	yes	characteristic
426	C₂	#22621717	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₄×C₂²⋊D₇₃
commutator, cosocle	C₄²×C₇₃	C₂⁴
Frattini	C₄²	C₂³×D₇₃
Fitting	C₇₃×#3393	C₂
socle	C₂²×C₇₃	D₄²
prime radical	D₈×D₂₉₂	C₂
hypercenter	#3393	D₇₃
hypocenter	C₇₃	#19900
LCS	G ▷ C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #3393

Complements

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

N	H ≅ G/N	type
1. #22622156	C₂	semidirect
3. #22609538	C₂	semidirect
4. #22609494	C₂	semidirect
5. #22609293	C₂	semidirect
6. #22609291	C₂	semidirect
7. #22609108	C₂	semidirect
8. #22609041	C₂	semidirect
9. #22608816	C₂	semidirect
10. C₈×#11924015	C₂	semidirect
11. C₇₃×#3393	C₂	semidirect
15. #17988935	C₂²	semidirect
16. #17988935	C₂²	semidirect
21. #17988787	C₂²	semidirect
26. #17988665	C₂²	semidirect
29. #17988340	C₂²	semidirect
30. #17988337	C₂²	semidirect
31. #17988333	C₂²	semidirect
32. #17988330	C₂²	semidirect
33. Q₈⋊#10596831	C₂²	semidirect
34. D₄⋊#10596831	C₂²	semidirect
36. C₈×#10596831	C₂²	semidirect
37. #556×C₇₃	C₂²	semidirect
39. #494×C₇₃	C₂²	semidirect
41. #461×C₇₃	C₂²	semidirect
42. C₈×Q₈×C₇₃	C₂²	semidirect
214. #3393	D₇₃	semidirect
225. C₇₃	#19900	semidirect
227. #556	C₂×D₇₃	semidirect
230. #494	C₂×D₇₃	semidirect
239. #461	C₂×D₇₃	semidirect
244. C₈×Q₈	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22622156	2
D₈×D₂₉₂	2
#22609538	2
#22609494	2
#22609293	2
#22609291	2
#22609108	2
#22609041	2
#22608816	2
C₈×#11924015	2
C₇₃×#3393	2
#19900	73