Subgroups — #494949

Order 512.

605 conjugacy classes of subgroups.

The subgroup lattice has 434 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#33420	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#504	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#443	C₂	1	1	yes	maximal, characteristic
4	#13122	C₂	1	2	yes	maximal, complemented
5	#13106	C₂	1	2	yes	maximal, complemented
6	#12980	C₂	1	2	yes	maximal
7	#12917	C₂	1	2	yes	maximal, complemented
8	C₄×#364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×#350	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄×#350	C₂	1	1	yes	maximal, characteristic, complemented
11	#12590	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#504	C₂²	1	2	yes	—
13	C₂×#443	C₄	1	1	yes	characteristic
14	C₂×#443	C₂²	1	1	yes	characteristic
15	C₄×#135	C₄	1	1	yes	characteristic
16	C₄×#131	C₂²	1	1	yes	characteristic
17	C₄×#131	C₂²	1	1	yes	characteristic
18	#2164	—	2	2	no	—
19	#2162	—	2	1	no	—
20	#2162	—	2	1	no	—
21	C₂×#364	C₂²	1	2	yes	—
22	#2151	C₂²	1	2	yes	—
23	C₂×#350	C₂²	1	2	yes	—
24	C₂×#350	C₂²	1	2	yes	—
25	#2113	C₂²	1	2	yes	—
26	#2108	—	2	2	no	—
27	#2108	C₂²	1	2	yes	—
28	C₄×M₃₂	—	2	1	no	—
29	C₄×M₃₂	C₂²	1	1	yes	characteristic
30	C₄×M₃₂	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₁₆	—	2	1	no	—
32	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
34	C₄×#108	C₄	1	1	yes	characteristic
35	#1772	C₄	1	1	yes	characteristic
36	#1772	C₂²	1	1	yes	characteristic
37	#1764	C₄	1	1	yes	characteristic
38	#1764	C₄	1	1	yes	characteristic
39	#1764	C₂²	1	1	yes	characteristic
40	#1764	C₂²	1	1	yes	characteristic
41	C₄×#104	C₄	1	1	yes	characteristic
42	C₄×#104	C₄	1	1	yes	characteristic
43	C₄²×C₈	C₂²	1	1	yes	characteristic
44	#1379	C₂²	1	2	yes	—
45	#1379	C₂²	1	2	yes	—
46	#1376	C₂²	1	2	yes	—
47	#1374	C₂²	1	2	yes	—
48	#1374	C₂²	1	2	yes	—
49	C₂×#135	C₂×C₄	1	1	yes	characteristic
50	C₂×#131	C₂×C₄	1	1	yes	characteristic
51	C₂×#131	C₂×C₄	1	1	yes	characteristic
52	C₂×#131	C₂³	1	1	yes	characteristic
53	C₂×#131	C₂³	1	1	yes	characteristic
54	C₄×#41	C₂×C₄	1	1	yes	characteristic
55	C₄×#41	C₂×C₄	1	1	yes	characteristic
56	#504	—	2	4	no	—
57	#504	—	2	4	no	—
58	C₂×M₃₂	—	2	2	no	—
59	C₂×M₃₂	C₂³	1	2	yes	—
60	C₂×M₃₂	C₂³	1	2	yes	—
61	C₂²×C₁₆	—	2	2	no	—
62	C₂²×C₁₆	C₂³	1	2	yes	—
63	C₂²×C₁₆	C₂³	1	2	yes	—
64	#443	—	2	4	no	—
65	#443	—	2	4	no	—
66	C₄×Q₁₆	C₈	1	1	yes	characteristic
67	C₄×Q₁₆	C₈	1	1	yes	characteristic
68	C₄×SD₁₆	C₈	1	1	yes	characteristic
69	C₄×SD₁₆	C₈	1	1	yes	characteristic
70	C₄×SD₁₆	C₈	1	1	yes	characteristic
71	C₄×SD₁₆	C₈	1	1	yes	characteristic
72	C₄×D₈	C₈	1	1	yes	characteristic
73	C₄×D₈	C₈	1	1	yes	characteristic
74	C₂×#108	C₂×C₄	1	1	yes	characteristic
75	C₂×#108	C₂×C₄	1	1	yes	characteristic
76	#427	C₂×C₄	1	1	yes	characteristic
77	C₂×#104	C₂×C₄	1	1	yes	characteristic
78	C₂×#104	C₂×C₄	1	1	yes	characteristic
79	C₂×#104	C₂×C₄	1	1	yes	characteristic
80	C₂×#104	C₂×C₄	1	1	yes	characteristic
81	#416	C₂×C₄	1	1	yes	characteristic
82	#416	C₂×C₄	1	1	yes	characteristic
83	#405	—	2	1	no	—
84	#405	—	2	1	no	—
85	#405	—	2	1	no	—
86	#405	—	2	1	no	—
87	#405	C₂×C₄	1	1	yes	characteristic
88	#405	C₂×C₄	1	1	yes	characteristic
89	#405	C₂³	1	1	yes	characteristic
90	#405	C₂³	1	1	yes	characteristic
91	C₄×M₁₆	—	2	1	no	—
92	C₄×M₁₆	—	2	1	no	—
93	C₄×M₁₆	C₂×C₄	1	1	yes	characteristic
94	C₄×M₁₆	C₂×C₄	1	1	yes	characteristic
95	C₂×C₄×C₈	—	2	1	no	—
96	C₂×C₄×C₈	—	2	1	no	—
97	C₂×C₄×C₈	C₂×C₄	1	1	yes	characteristic
98	C₂×C₄×C₈	C₂×C₄	1	1	yes	characteristic
99	C₂×C₄×C₈	C₂×C₄	1	1	yes	characteristic
100	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
101	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
102	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
103	C₄³	C₂×C₄	1	1	yes	characteristic
104	#364	—	2	4	no	—
105	C₄⋊C₁₆	—	2	2	no	—
106	C₄⋊C₁₆	—	2	2	no	—
107	#350	—	2	4	no	—
108	#350	—	2	4	no	—
109	C₂²⋊C₁₆	—	2	2	no	—
110	C₂²⋊C₁₆	—	2	2	no	—
111	#346	—	2	2	no	—
112	#346	—	2	1	no	—
113	#346	—	2	1	no	—
114	C₄×C₁₆	—	2	2	no	—
115	C₄×C₁₆	—	2	1	no	—
116	C₄×C₁₆	—	2	1	no	—
117	C₄×C₁₆	—	2	1	no	—
118	C₄×C₁₆	—	2	1	no	—
119	C₄×C₁₆	D₄	1	2	yes	—
120	C₄×C₁₆	D₄	1	1	yes	characteristic
121	C₄×C₁₆	D₄	1	1	yes	characteristic
122	#341	C₂×C₄	1	1	yes	characteristic
123	#341	C₂×C₄	1	1	yes	characteristic
124	#339	C₂×C₄	1	1	yes	characteristic
125	#339	C₂×C₄	1	1	yes	characteristic
126	#339	C₂×C₄	1	1	yes	characteristic
127	#339	C₂×C₄	1	1	yes	characteristic
128	C₂×#41	C₂²×C₄	1	1	yes	characteristic
129	C₂×#41	C₂²×C₄	1	1	yes	characteristic
130	#135	—	2	2	no	—
131	#135	—	2	2	no	—
132	C₂×Q₁₆	C₂×C₈	1	1	yes	characteristic
133	C₂×SD₁₆	C₂×C₈	1	1	yes	characteristic
134	C₂×SD₁₆	C₂×C₈	1	1	yes	characteristic
135	C₂×D₈	C₂×C₈	1	1	yes	characteristic
136	#131	—	2	2	no	—
137	#131	—	2	2	no	—
138	#131	—	2	2	no	—
139	#131	—	2	2	no	—
140	#131	—	2	2	no	—
141	#131	—	2	2	no	—
142	#131	M₁₆	1	4	yes	—
143	#131	#41	1	4	yes	—
144	C₂×M₁₆	—	2	1	no	—
145	C₂×M₁₆	—	2	1	no	—
146	C₂×M₁₆	—	2	1	no	—
147	C₂×M₁₆	—	2	1	no	—
148	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
149	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
150	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
151	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
152	C₂²×C₈	—	2	1	no	—
153	C₂²×C₈	—	2	1	no	—
154	C₂²×C₈	—	2	1	no	—
155	C₂²×C₈	—	2	1	no	—
156	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
157	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
158	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
159	C₂²×C₈	C₂⁴	1	1	yes	characteristic
160	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
161	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
162	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
163	C₄×Q₈	C₂×C₈	1	1	yes	characteristic
164	C₄×D₄	—	2	1	no	—
165	C₄×D₄	—	2	1	no	—
166	C₄×D₄	—	2	1	no	—
167	C₄×D₄	—	2	1	no	—
168	C₄×D₄	C₂×C₈	1	1	yes	characteristic
169	C₄×D₄	C₂×C₈	1	1	yes	characteristic
170	C₄×D₄	C₂×C₈	1	1	yes	characteristic
171	C₄×D₄	C₂×C₈	1	1	yes	characteristic
172	#117	—	2	1	no	—
173	#117	—	2	1	no	—
174	#117	C₂²×C₄	1	1	yes	characteristic
175	#117	C₂²×C₄	1	1	yes	characteristic
176	C₂×C₄²	—	2	1	no	—
177	C₂×C₄²	—	2	1	no	—
178	C₂×C₄²	—	2	1	no	—
179	C₂×C₄²	—	2	1	no	—
180	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
181	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
182	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
183	M₃₂	—	2	8	no	—
184	M₃₂	—	2	2	no	—
185	M₃₂	—	2	2	no	—
186	M₃₂	—	2	2	no	—
187	M₃₂	#41	1	4	yes	—
188	C₂×C₁₆	—	2	8	no	—
189	C₂×C₁₆	—	2	2	no	—
190	C₂×C₁₆	—	2	2	no	—
191	C₂×C₁₆	—	2	2	no	—
192	C₂×C₁₆	—	2	2	no	—
193	C₂×C₁₆	—	2	2	no	—
194	C₂×C₁₆	—	2	2	no	—
195	C₂×C₁₆	—	2	2	no	—
196	C₂×C₁₆	C₂×D₄	1	2	yes	—
197	C₂×C₁₆	C₂×D₄	1	2	yes	—
198	#108	—	2	2	no	—
199	#108	—	2	2	no	—
200	#107	C₂×C₈	1	1	yes	characteristic
201	#107	C₂×C₈	1	1	yes	characteristic
202	#106	C₂×C₈	1	1	yes	characteristic
203	#106	C₂×C₈	1	1	yes	characteristic
204	#104	—	2	2	no	—
205	#104	—	2	2	no	—
206	#104	—	2	2	no	—
207	#104	—	2	2	no	—
208	#103	C₂×C₈	1	1	yes	characteristic
209	#103	C₂×C₈	1	1	yes	characteristic
210	#103	C₂×C₈	1	1	yes	characteristic
211	#103	C₂×C₈	1	1	yes	characteristic
212	#102	C₂×C₈	1	1	yes	characteristic
213	#102	C₂×C₈	1	1	yes	characteristic
214	#102	C₂×C₈	1	1	yes	characteristic
215	#102	C₂×C₈	1	1	yes	characteristic
216	#97	—	2	1	no	—
217	#97	—	2	1	no	—
218	#97	—	2	1	no	—
219	#97	—	2	1	no	—
220	#97	—	2	1	no	—
221	#97	—	2	1	no	—
222	C₄×C₈	—	2	1	no	—
223	C₄×C₈	—	2	1	no	—
224	C₄×C₈	—	2	2	no	—
225	C₄×C₈	—	2	2	no	—
226	C₄×C₈	—	2	1	no	—
227	C₄×C₈	—	2	1	no	—
228	C₄×C₈	—	2	2	no	—
229	C₄×C₈	—	2	2	no	—
230	C₄×C₈	—	2	1	no	—
231	C₄×C₈	—	2	1	no	—
232	C₄×C₈	C₂×C₈	1	1	yes	characteristic
233	C₄×C₈	C₂×C₈	1	1	yes	characteristic
234	C₄×C₈	C₂×C₈	1	1	yes	characteristic
235	C₄×C₈	C₂×C₈	1	1	yes	characteristic
236	C₄×C₈	C₂×D₄	1	1	yes	characteristic
237	C₄×C₈	C₂×D₄	1	1	yes	characteristic
238	C₄×C₈	#41	1	1	yes	characteristic
239	C₄×C₈	#41	1	1	yes	characteristic
240	#41	—	2	1	no	—
241	#41	—	2	1	no	—
242	#41	—	2	1	no	—
243	#41	—	2	1	no	—
244	#41	—	2	1	no	—
245	#41	—	2	1	no	—
246	#41	#117	1	2	yes	—
247	#41	C₂×M₁₆	1	2	yes	—
248	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
249	C₂×Q₈	C₂²×C₈	1	1	yes	characteristic
250	C₂×D₄	—	2	1	no	—
251	C₂×D₄	—	2	1	no	—
252	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
253	C₂×D₄	C₂²×C₈	1	1	yes	characteristic
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	2	1	no	—
256	C₂²×C₄	—	2	1	no	—
257	C₂²×C₄	—	2	1	no	—
258	C₂²×C₄	—	2	1	no	—
259	C₂²×C₄	—	2	1	no	—
260	C₂²×C₄	—	2	1	no	—
261	C₂²×C₄	—	2	1	no	—
262	C₂²×C₄	#131	1	1	yes	characteristic
263	C₂²×C₄	#131	1	1	yes	characteristic
264	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
265	Q₁₆	—	2	2	no	—
266	SD₁₆	—	2	2	no	—
267	SD₁₆	—	2	2	no	—
268	D₈	—	2	2	no	—
269	M₁₆	—	2	1	no	—
270	M₁₆	—	2	1	no	—
271	M₁₆	—	2	4	no	—
272	M₁₆	—	2	4	no	—
273	M₁₆	—	2	1	no	—
274	M₁₆	—	2	1	no	—
275	M₁₆	—	2	1	no	—
276	M₁₆	—	2	1	no	—
277	M₁₆	—	4	2	no	—
278	M₁₆	—	4	2	no	—
279	M₁₆	#117	1	2	yes	—
280	M₁₆	C₂×M₁₆	1	2	yes	—
281	C₂×C₈	—	2	1	no	—
282	C₂×C₈	—	2	1	no	—
283	C₂×C₈	—	2	1	no	—
284	C₂×C₈	—	2	1	no	—
285	C₂×C₈	—	2	1	no	—
286	C₂×C₈	—	2	1	no	—
287	C₂×C₈	—	2	4	no	—
288	C₂×C₈	—	2	4	no	—
289	C₂×C₈	—	2	1	no	—
290	C₂×C₈	—	2	1	no	—
291	C₂×C₈	—	4	2	no	—
292	C₂×C₈	—	4	2	no	—
293	C₂×C₈	C₄×D₄	1	1	yes	characteristic
294	C₂×C₈	C₄×D₄	1	1	yes	characteristic
295	C₂×C₈	C₂²×C₈	1	1	yes	characteristic
296	C₂×C₈	C₂²×C₈	1	1	yes	characteristic
297	C₂×C₈	C₂²×C₈	1	1	yes	characteristic
298	C₂×C₈	C₂²×C₈	1	1	yes	characteristic
299	C₂×C₈	C₂×M₁₆	1	2	yes	—
300	C₂×C₈	#131	1	2	yes	—
301	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
302	C₂×C₈	C₂×#41	1	2	yes	—
303	C₂×C₈	C₂×#41	1	2	yes	—
304	C₂×C₈	C₂×#41	1	1	yes	characteristic
305	C₄⋊C₄	—	2	1	no	—
306	C₄⋊C₄	—	2	1	no	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	2	1	no	—
309	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
310	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
311	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
312	C₄⋊C₄	C₂²×C₈	1	1	yes	characteristic
313	C₂²⋊C₄	—	2	1	no	—
314	C₂²⋊C₄	—	2	1	no	—
315	C₂²⋊C₄	—	2	1	no	—
316	C₂²⋊C₄	—	2	1	no	—
317	C₂²⋊C₄	—	2	1	no	—
318	C₂²⋊C₄	—	2	1	no	—
319	C₄²	—	2	4	no	—
320	C₄²	—	2	1	no	—
321	C₄²	—	2	1	no	—
322	C₄²	—	2	1	no	—
323	C₄²	—	2	1	no	—
324	C₄²	—	2	1	no	—
325	C₄²	—	2	1	no	—
326	C₄²	—	2	1	no	—
327	C₄²	—	2	1	no	—
328	C₄²	—	2	1	no	—
329	C₄²	—	2	1	no	—
330	C₄²	—	4	2	no	—
331	C₄²	C₄×D₄	1	1	yes	characteristic
332	C₄²	C₄×D₄	1	1	yes	characteristic
333	C₄²	C₂²×C₈	1	1	yes	characteristic
334	C₄²	C₂²×C₈	1	1	yes	characteristic
335	C₁₆	—	2	2	no	—
336	C₁₆	—	2	4	no	—
337	C₁₆	—	2	2	no	—
338	C₁₆	—	4	2	no	—
339	C₁₆	—	4	2	no	—
340	C₂³	—	2	1	no	—
341	C₂³	—	2	1	no	—
342	C₂³	C₂×#131	1	1	yes	characteristic
343	Q₈	—	2	1	no	—
344	Q₈	—	2	1	no	—
345	Q₈	—	2	1	no	—
346	Q₈	#431	1	2	yes	—
347	D₄	—	2	2	no	—
348	D₄	—	2	2	no	—
349	D₄	—	2	1	no	—
350	D₄	—	2	1	no	—
351	D₄	—	2	1	no	—
352	D₄	—	4	1	no	—
353	D₄	—	4	1	no	—
354	D₄	#431	1	2	yes	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	2	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	2	1	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	1	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	4	2	no	—
373	C₂×C₄	—	4	2	no	—
374	C₂×C₄	—	4	2	no	—
375	C₂×C₄	—	4	2	no	—
376	C₂×C₄	—	4	1	no	—
377	C₂×C₄	C₈×D₄	1	1	yes	characteristic
378	C₂×C₄	C₈×D₄	1	1	yes	characteristic
379	C₂×C₄	C₈×D₄	1	1	yes	characteristic
380	C₂×C₄	C₈×D₄	1	1	yes	characteristic
381	C₂×C₄	C₂×#117	1	1	yes	characteristic
382	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
383	C₂×C₄	C₄×#41	1	1	yes	characteristic
384	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
385	C₂×C₄	C₂²×M₁₆	1	1	yes	characteristic
386	C₂×C₄	C₂×#131	1	1	yes	characteristic
387	C₈	—	2	1	no	—
388	C₈	—	2	1	no	—
389	C₈	—	2	2	no	—
390	C₈	—	2	1	no	—
391	C₈	—	2	1	no	—
392	C₈	—	2	2	no	—
393	C₈	—	4	1	no	—
394	C₈	—	4	1	no	—
395	C₈	#435	1	2	yes	—
396	C₈	#435	1	2	yes	—
397	C₈	#525	1	2	yes	—
398	C₈	#529	1	2	yes	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	2	2	no	—
402	C₂²	—	4	1	no	—
403	C₂²	—	4	1	no	—
404	C₂²	—	4	1	no	—
405	C₂²	—	4	1	no	—
406	C₂²	—	4	1	no	—
407	C₂²	#2922	1	1	yes	characteristic
408	C₂²	C₂×C₈×D₄	1	1	yes	characteristic
409	C₂²	#2965	1	1	yes	characteristic
410	C₄	—	2	2	no	—
411	C₄	—	2	1	no	—
412	C₄	—	2	1	no	—
413	C₄	—	4	2	no	—
414	C₄	—	4	2	no	—
415	C₄	—	4	1	no	—
416	C₄	—	4	1	no	—
417	C₄	—	4	1	no	—
418	C₄	—	4	1	no	—
419	C₄	—	4	1	no	—
420	C₄	#2170	1	2	yes	—
421	C₄	#2171	1	2	yes	—
422	C₄	#2290	1	1	yes	characteristic
423	C₄	C₂×#431	1	1	yes	characteristic
424	C₄	C₂×#435	1	1	yes	characteristic
425	C₄	C₈×#41	1	1	yes	characteristic
426	C₂	—	2	1	no	—
427	C₂	—	2	1	no	—
428	C₂	—	4	2	no	—
429	C₂	—	8	1	no	—
430	C₂	#21101	1	1	yes	characteristic
431	C₂	C₂×#2170	1	1	yes	characteristic
432	C₂	C₂×#2171	1	1	yes	characteristic

	subgroup	G/H
center	C₄×C₈	C₂×D₄
commutator	C₂×C₄	C₂³×C₈
Frattini, cosocle	C₂²×C₈	C₂⁴
socle	C₂²	C₂×C₈×D₄
prime radical	C₂×#135	C₂×C₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₄×C₈ ◁ C₂×C₄×C₁₆ ◁ G
LECS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #33420	C₂	semidirect
2. C₄×#504	C₂	semidirect
4. #13122	C₂	semidirect
5. #13106	C₂	semidirect
7. #12917	C₂	semidirect
8. C₄×#364	C₂	semidirect
9. C₄×#350	C₂	semidirect
10. C₄×#350	C₂	semidirect
11. #12590	C₂	semidirect

Maximal subgroups

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

subgroup	index
#33420	2
C₄×#504	2
C₄×#443	2
#13122	2
#13106	2
#12980	2
#12917	2
C₄×#364	2
C₄×#350	2
#12590	2