Subgroups — #12113229

Order 1280.

820 conjugacy classes of subgroups.

The subgroup lattice has 450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10615641	C₂	1	1	yes	maximal, characteristic, complemented
2	#10615637	C₂	1	1	yes	maximal, characteristic
3	#10610898	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#1976	C₂	1	1	yes	maximal, characteristic, complemented
5	#10601450	C₂	1	1	yes	maximal, characteristic, complemented
6	#10601201	C₂	1	2	yes	maximal, complemented
7	#10601193	C₂	1	2	yes	maximal, complemented
8	#10600842	C₂	1	2	yes	maximal, complemented
9	#10600840	C₂	1	2	yes	maximal, complemented
10	#10600696	C₂	1	1	yes	maximal, characteristic, complemented
11	#10600688	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₅×#135	C₂²	1	1	yes	characteristic
13	#66164	C₂²	1	2	yes	—
14	C₂×#4095	C₂²	1	2	yes	—
15	#66153	C₂²	1	2	yes	—
16	C₂²×D₄₀	C₂²	1	1	yes	characteristic
17	#65855	C₂²	1	2	yes	—
18	C₅×#427	C₂²	1	1	yes	characteristic
19	C₅×#421	C₂²	1	2	yes	—
20	C₅×#410	C₂²	1	2	yes	—
21	C₅×#405	C₂²	1	1	yes	characteristic
22	#65525	C₂²	1	2	yes	—
23	#65486	—	2	2	no	—
24	#65485	—	2	2	no	—
25	#65480	C₄	1	2	yes	complemented
26	#65465	C₄	1	4	yes	complemented
27	#65440	C₄	1	2	yes	complemented
28	C₂×#3955	C₂²	1	2	yes	—
29	C₂×#3951	C₂²	1	1	yes	characteristic
30	#65390	C₂²	1	1	yes	characteristic
31	#65390	C₂²	1	1	yes	characteristic
32	#65290	C₂²	1	2	yes	—
33	#65290	C₂²	1	2	yes	—
34	#65161	—	2	2	no	—
35	#65158	—	2	2	no	—
36	#64780	C₂²	1	1	yes	characteristic
37	#64777	C₂²	1	1	yes	characteristic
38	#64753	C₂²	1	2	yes	—
39	#64751	C₂²	1	1	yes	characteristic
40	#64751	C₂²	1	2	yes	—
41	#64751	C₂²	1	1	yes	characteristic
42	#22286	—	5	1	no	maximal, Sylow
43	C₂×C₅×#41	C₂³	1	2	yes	—
44	C₂²×D₂₀	C₂³	1	2	yes	—
45	C₅×#135	—	2	1	no	—
46	C₅×#135	—	2	1	no	—
47	C₅×#135	—	2	1	no	—
48	C₅×#135	—	2	1	no	—
49	C₂×C₅×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
50	C₂×C₅×SD₁₆	C₂×C₄	1	2	yes	complemented
51	C₂×C₅×D₈	C₂×C₄	1	1	yes	characteristic, complemented
52	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
53	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
54	C₅×#117	C₂³	1	1	yes	characteristic
55	C₅×#117	C₂³	1	2	yes	—
56	#4095	—	4	2	no	—
57	#4095	—	4	2	no	—
58	#4094	—	2	4	no	—
59	#4094	—	4	2	no	—
60	#4093	C₂×C₄	1	4	yes	complemented
61	C₂×#688	C₂×C₄	1	4	yes	complemented
62	#4086	C₂×C₄	1	4	yes	complemented
63	#4083	—	4	2	no	—
64	C₂×#686	C₂×C₄	1	4	yes	complemented
65	#4076	—	4	2	no	—
66	#4072	C₂³	1	1	yes	characteristic
67	#4072	C₂³	1	1	yes	characteristic
68	C₂×#681	—	4	2	no	—
69	C₂×#681	C₂³	1	2	yes	—
70	C₂×#681	C₂³	1	1	yes	characteristic
71	C₂×#681	C₂³	1	1	yes	characteristic
72	C₂×D₄₀	—	2	1	no	—
73	C₂×D₄₀	—	2	1	no	—
74	C₂×D₄₀	—	2	1	no	—
75	C₂×D₄₀	—	2	1	no	—
76	C₂×D₄₀	C₂×C₄	1	2	yes	—
77	C₂×D₄₀	C₂×C₄	1	2	yes	—
78	#4039	—	2	4	no	—
79	D₅×C₂²⋊C₄	—	4	2	no	—
80	C₄×D₂₀	—	4	2	no	—
81	C₅×#107	—	2	1	no	—
82	C₅×#106	—	2	1	no	—
83	C₅×#104	—	4	2	no	—
84	C₅×#99	—	4	2	no	—
85	C₅×#97	—	2	1	no	—
86	C₄×C₅×C₈	—	2	1	no	—
87	#3969	—	2	4	no	—
88	#3955	—	4	2	no	—
89	#3951	—	2	1	no	—
90	#3951	—	2	1	no	—
91	#3947	C₂×C₄	1	2	yes	complemented
92	#3947	D₄	1	2	yes	complemented
93	C₈×Dic₅	C₂×C₄	1	2	yes	complemented
94	C₈×Dic₅	D₄	1	2	yes	complemented
95	#3941	—	2	4	no	—
96	#3941	—	4	2	no	—
97	#3155	—	5	1	no	—
98	#2957	—	5	1	no	—
99	#2948	—	5	1	no	—
100	#1978	—	5	1	no	—
101	#1976	D₅	1	1	yes	characteristic, complemented
102	#1911	—	5	2	no	—
103	#1910	—	5	2	no	—
104	#1904	—	5	2	no	—
105	#1903	—	5	2	no	—
106	#1833	—	5	1	no	—
107	#1747	—	5	1	no	—
108	C₂³×D₅	—	2	2	no	—
109	C₅×#41	—	2	2	no	—
110	C₅×#41	—	2	2	no	—
111	C₅×#41	—	2	2	no	—
112	C₅×#41	—	2	2	no	—
113	C₂×C₅×Q₈	C₂²×C₄	1	2	yes	—
114	C₂×C₅×D₄	—	2	2	no	—
115	C₂×C₅×D₄	C₂²×C₄	1	2	yes	—
116	C₂²×C₄×C₅	—	2	2	no	—
117	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
118	C₂×C₂²⋊D₅	—	4	4	no	—
119	C₂×D₂₀	—	2	2	no	—
120	C₂×D₂₀	—	2	2	no	—
121	C₂×D₂₀	—	2	2	no	—
122	C₂×D₂₀	—	2	2	no	—
123	C₂×D₂₀	—	2	2	no	—
124	C₂×D₂₀	C₂²×C₄	1	4	yes	—
125	C₂×C₄×D₅	—	4	4	no	—
126	C₅×Q₁₆	—	2	1	no	—
127	C₅×Q₁₆	—	2	1	no	—
128	C₅×SD₁₆	—	2	2	no	—
129	C₅×SD₁₆	—	2	2	no	—
130	C₅×D₈	—	2	1	no	—
131	C₅×D₈	—	2	1	no	—
132	C₅×M₁₆	—	2	1	no	—
133	C₅×M₁₆	—	2	1	no	—
134	C₂×C₅×C₈	—	2	1	no	—
135	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
136	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
137	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
138	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
139	C₂×C₅×C₈	#41	1	1	yes	characteristic
140	C₂×C₅×C₈	#41	1	1	yes	characteristic
141	C₅×C₄⋊C₄	—	2	2	no	—
142	C₅×C₄⋊C₄	—	2	1	no	—
143	C₅×C₂²⋊C₄	—	2	1	no	—
144	C₅×C₂²⋊C₄	—	2	2	no	—
145	C₄²×C₅	—	2	1	no	—
146	C₄²×C₅	—	2	2	no	—
147	C₂²⋊Dic₅	—	2	1	no	—
148	C₂²⋊Dic₅	—	2	1	no	—
149	#688	—	4	4	no	—
150	#686	—	4	4	no	—
151	#685	—	4	4	no	—
152	#685	—	4	4	no	—
153	C₄⋊Dic₅	—	2	1	no	—
154	C₄⋊Dic₅	—	2	1	no	—
155	C₄×Dic₅	C₂²×C₄	1	2	yes	—
156	C₄×Dic₅	C₂×D₄	1	2	yes	—
157	#681	—	2	1	no	—
158	#681	—	2	1	no	—
159	#681	—	2	1	no	—
160	#681	—	2	1	no	—
161	#681	—	2	2	no	—
162	#681	—	2	2	no	—
163	#681	—	4	4	no	—
164	C₂×#168	—	2	2	no	—
165	C₂×#168	—	4	4	no	—
166	C₂×#168	C₂²×C₄	1	2	yes	—
167	C₂×#168	C₂×D₄	1	2	yes	—
168	D₄₀	—	2	2	no	—
169	D₄₀	—	2	2	no	—
170	D₄₀	—	2	2	no	—
171	D₄₀	—	2	2	no	—
172	C₂×AGL(1,ℤ/8)	—	5	2	no	—
173	C₂×#135	C₂×D₅	1	1	yes	characteristic
174	C₂²×D₈	—	5	1	no	—
175	#568	—	5	2	no	—
176	#535	—	5	2	no	—
177	#518	—	5	2	no	—
178	#496	—	5	4	no	—
179	#495	—	5	2	no	—
180	#493	—	5	2	no	—
181	#444	—	10	2	no	—
182	#443	—	10	2	no	—
183	#442	—	10	2	no	—
184	C₄×D₈	—	10	2	no	—
185	C₂×#108	—	5	1	no	—
186	#427	C₂×D₅	1	1	yes	characteristic
187	#421	—	5	2	no	—
188	#421	C₂×D₅	1	2	yes	—
189	#418	—	5	2	no	—
190	#418	—	5	2	no	—
191	C₂×#100	—	5	2	no	—
192	#410	C₂×D₅	1	2	yes	—
193	#405	—	5	1	no	—
194	#405	—	5	1	no	—
195	#405	C₂×D₅	1	1	yes	characteristic
196	#344	—	5	2	no	—
197	#338	—	5	1	no	—
198	H(3,ℤ/4)	—	5	1	no	—
199	H(3,ℤ/4)	—	5	2	no	—
200	H(3,ℤ/4)	—	5	1	no	—
201	H(3,ℤ/4)	—	5	1	no	—
202	C₂³×C₅	—	2	2	no	—
203	C₂³×C₅	H(5,𝔽₂)	1	1	yes	characteristic
204	C₂²×D₅	—	2	4	no	—
205	C₂²×D₅	—	4	2	no	—
206	C₂²×D₅	—	4	2	no	—
207	C₂²×D₅	—	16	2	no	—
208	C₅×Q₈	—	2	2	no	—
209	C₅×Q₈	—	2	2	no	—
210	C₅×D₄	—	2	2	no	—
211	C₅×D₄	—	2	2	no	—
212	C₅×D₄	—	4	2	no	—
213	C₅×D₄	—	4	2	no	—
214	C₂×C₄×C₅	—	2	2	no	—
215	C₂×C₄×C₅	—	4	2	no	—
216	C₂×C₄×C₅	—	4	2	no	—
217	C₂×C₄×C₅	—	4	2	no	—
218	C₂×C₄×C₅	—	4	1	no	—
219	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
220	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
221	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
222	C₂×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
223	C₂×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
224	C₂×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
225	C₂²⋊D₅	—	16	4	no	—
226	C₂×Dic₅	—	2	2	no	—
227	C₂×Dic₅	—	2	2	no	—
228	D₂₀	—	2	4	no	—
229	D₂₀	—	2	4	no	—
230	D₂₀	—	4	2	no	—
231	D₂₀	—	4	2	no	—
232	C₄×D₅	—	16	4	no	—
233	C₅×C₈	—	4	1	no	—
234	C₅×C₈	C₄×D₄	1	1	yes	characteristic
235	C₅×C₈	C₄×D₄	1	1	yes	characteristic
236	C₅×C₈	C₄×D₄	1	1	yes	characteristic
237	C₅×C₈	C₄×D₄	1	1	yes	characteristic
238	#168	—	2	2	no	—
239	#168	—	2	2	no	—
240	#168	—	4	2	no	—
241	C₂×#41	C₂²×D₅	1	2	yes	—
242	C₂²×D₄	—	5	2	no	—
243	AGL(1,ℤ/8)	—	20	2	no	—
244	AGL(1,ℤ/8)	—	20	2	no	—
245	#135	—	2	1	no	—
246	#135	—	2	1	no	—
247	#135	—	2	1	no	—
248	#135	—	2	1	no	—
249	C₂×Q₁₆	C₄×D₅	1	1	yes	characteristic, complemented
250	C₂×SD₁₆	—	5	4	no	—
251	C₂×SD₁₆	C₄×D₅	1	2	yes	complemented
252	C₂×D₈	—	5	4	no	—
253	C₂×D₈	—	5	2	no	—
254	C₂×D₈	—	5	2	no	—
255	C₂×D₈	—	10	1	no	—
256	C₂×D₈	—	10	1	no	—
257	C₂×D₈	—	10	1	no	—
258	C₂×D₈	—	10	1	no	—
259	C₂×D₈	C₄×D₅	1	1	yes	characteristic, complemented
260	#131	—	10	4	no	—
261	#131	—	20	2	no	—
262	C₂×M₁₆	—	5	1	no	—
263	C₂×M₁₆	—	5	1	no	—
264	C₂×M₁₆	—	5	2	no	—
265	C₂×M₁₆	—	20	2	no	—
266	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
267	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
268	#127	—	5	4	no	—
269	#124	—	5	4	no	—
270	#121	—	20	2	no	—
271	#120	—	20	2	no	—
272	C₄×D₄	—	10	4	no	—
273	C₄×D₄	—	20	2	no	—
274	#117	—	5	1	no	—
275	#117	—	5	1	no	—
276	#117	C₂²×D₅	1	2	yes	—
277	#117	C₂²×D₅	1	1	yes	characteristic
278	C₂×C₂²⋊C₄	—	20	2	no	—
279	#108	—	10	1	no	—
280	#108	—	10	1	no	—
281	#107	—	2	1	no	—
282	#106	—	2	1	no	—
283	#104	—	4	2	no	—
284	#104	—	10	4	no	—
285	#102	—	10	4	no	—
286	#102	—	20	2	no	—
287	#100	—	20	2	no	—
288	#99	—	4	2	no	—
289	#97	—	2	1	no	—
290	#97	—	5	2	no	—
291	#97	—	5	2	no	—
292	C₄×C₈	—	2	1	no	—
293	C₄×C₈	—	5	2	no	—
294	C₄×C₈	—	5	2	no	—
295	C₂²×C₅	—	4	1	no	—
296	C₂²×C₅	—	4	2	no	—
297	C₂²×C₅	—	8	2	no	—
298	C₂²×C₅	#518	1	1	yes	characteristic
299	C₂²×C₅	#535	1	1	yes	characteristic
300	C₂²×C₅	#540	1	1	yes	characteristic
301	C₂×D₅	—	4	4	no	—
302	C₂×D₅	—	8	4	no	—
303	C₂×D₅	—	8	4	no	—
304	C₂×D₅	—	16	2	no	—
305	C₄×C₅	—	4	2	no	—
306	C₄×C₅	—	8	2	no	—
307	C₄×C₅	—	8	1	no	—
308	C₄×C₅	C₂×C₄×D₄	1	1	yes	characteristic
309	C₄×C₅	#518	1	1	yes	characteristic
310	C₄×C₅	#535	1	1	yes	characteristic
311	C₄×C₅	#540	1	1	yes	characteristic
312	Dic₅	—	4	2	no	—
313	Dic₅	—	4	2	no	—
314	C₂⁴	—	10	2	no	—
315	#41	—	2	2	no	—
316	#41	—	2	2	no	—
317	#41	—	2	2	no	—
318	#41	—	2	2	no	—
319	C₂×Q₈	C₂×C₄×D₅	1	2	yes	—
320	C₂×D₄	—	2	2	no	—
321	C₂×D₄	—	5	4	no	—
322	C₂×D₄	—	10	2	no	—
323	C₂×D₄	—	10	2	no	—
324	C₂×D₄	—	10	2	no	—
325	C₂×D₄	—	10	2	no	—
326	C₂×D₄	—	10	2	no	—
327	C₂×D₄	—	20	4	no	—
328	C₂×D₄	C₂×C₄×D₅	1	2	yes	—
329	C₂²×C₄	—	2	2	no	—
330	C₂²×C₄	—	20	4	no	—
331	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
332	Q₁₆	—	2	1	no	—
333	Q₁₆	—	2	1	no	—
334	SD₁₆	—	2	2	no	—
335	SD₁₆	—	2	2	no	—
336	SD₁₆	—	20	4	no	—
337	D₈	—	2	1	no	—
338	D₈	—	2	1	no	—
339	D₈	—	10	2	no	—
340	D₈	—	10	2	no	—
341	D₈	—	10	2	no	—
342	D₈	—	10	2	no	—
343	D₈	—	20	4	no	—
344	M₁₆	—	2	1	no	—
345	M₁₆	—	2	1	no	—
346	M₁₆	—	10	1	no	—
347	M₁₆	—	10	1	no	—
348	M₁₆	—	10	1	no	—
349	M₁₆	—	10	1	no	—
350	M₁₆	—	10	2	no	—
351	M₁₆	—	10	2	no	—
352	M₁₆	—	20	4	no	—
353	C₂×C₈	—	2	1	no	—
354	C₂×C₈	—	5	2	no	—
355	C₂×C₈	—	5	2	no	—
356	C₂×C₈	—	10	2	no	—
357	C₂×C₈	—	20	4	no	—
358	C₂×C₈	C₂×C₄×D₅	1	1	yes	characteristic
359	C₂×C₈	C₂×C₄×D₅	1	1	yes	characteristic
360	C₂×C₈	D₄×D₅	1	1	yes	characteristic
361	C₂×C₈	D₄×D₅	1	1	yes	characteristic
362	C₂×C₈	#711	1	1	yes	characteristic
363	C₂×C₈	#711	1	1	yes	characteristic
364	C₄⋊C₄	—	2	2	no	—
365	C₄⋊C₄	—	2	1	no	—
366	C₄⋊C₄	—	10	1	no	—
367	C₄⋊C₄	—	10	1	no	—
368	C₂²⋊C₄	—	2	1	no	—
369	C₂²⋊C₄	—	2	2	no	—
370	C₂²⋊C₄	—	10	1	no	—
371	C₂²⋊C₄	—	10	1	no	—
372	C₂²⋊C₄	—	20	4	no	—
373	C₂²⋊C₄	—	20	4	no	—
374	C₄²	—	2	1	no	—
375	C₄²	—	2	2	no	—
376	C₄²	—	5	2	no	—
377	C₄²	—	5	2	no	—
378	C₂×C₅	—	2	1	no	—
379	C₂×C₅	—	2	1	no	—
380	C₂×C₅	—	2	1	no	—
381	C₂×C₅	—	8	2	no	—
382	C₂×C₅	#2328	1	1	yes	characteristic
383	D₅	—	8	4	no	—
384	C₂³	—	2	2	no	—
385	C₂³	—	10	4	no	—
386	C₂³	—	20	2	no	—
387	C₂³	—	20	2	no	—
388	C₂³	—	80	2	no	—
389	C₂³	#4144	1	1	yes	characteristic
390	Q₈	—	2	2	no	—
391	Q₈	—	2	2	no	—
392	D₄	—	2	2	no	—
393	D₄	—	2	2	no	—
394	D₄	—	4	2	no	—
395	D₄	—	4	2	no	—
396	D₄	—	10	4	no	—
397	D₄	—	10	4	no	—
398	D₄	—	20	2	no	—
399	D₄	—	20	2	no	—
400	D₄	—	80	4	no	—
401	C₂×C₄	—	2	2	no	—
402	C₂×C₄	—	4	2	no	—
403	C₂×C₄	—	4	2	no	—
404	C₂×C₄	—	4	2	no	—
405	C₂×C₄	—	4	1	no	—
406	C₂×C₄	—	10	2	no	—
407	C₂×C₄	—	10	2	no	—
408	C₂×C₄	—	80	4	no	—
409	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
410	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
411	C₂×C₄	C₂×#711	1	1	yes	characteristic
412	C₂×C₄	#4144	1	1	yes	characteristic
413	C₂×C₄	#4149	1	1	yes	characteristic
414	C₂×C₄	#4149	1	1	yes	characteristic
415	C₈	—	4	1	no	—
416	C₈	—	10	2	no	—
417	C₈	—	10	2	no	—
418	C₈	—	20	2	no	—
419	C₈	#4027	1	1	yes	characteristic
420	C₈	#4027	1	1	yes	characteristic
421	C₈	#4027	1	1	yes	characteristic
422	C₈	#4027	1	1	yes	characteristic
423	C₅	#22286	1	1	yes	characteristic, complemented, Sylow
424	C₂²	—	4	1	no	—
425	C₂²	—	4	2	no	—
426	C₂²	—	8	2	no	—
427	C₂²	—	20	4	no	—
428	C₂²	—	40	4	no	—
429	C₂²	—	40	4	no	—
430	C₂²	—	80	2	no	—
431	C₂²	#65879	1	1	yes	characteristic
432	C₂²	#65953	1	1	yes	characteristic
433	C₂²	#66049	1	1	yes	characteristic
434	C₄	—	4	2	no	—
435	C₄	—	8	2	no	—
436	C₄	—	8	1	no	—
437	C₄	—	20	2	no	—
438	C₄	—	20	2	no	—
439	C₄	C₂×#4027	1	1	yes	characteristic
440	C₄	#65879	1	1	yes	characteristic
441	C₄	#65953	1	1	yes	characteristic
442	C₄	#66008	1	1	yes	characteristic
443	C₂	—	2	1	no	—
444	C₂	—	2	1	no	—
445	C₂	—	2	1	no	—
446	C₂	—	8	2	no	—
447	C₂	—	40	4	no	—
448	C₂	#10608029	1	1	yes	characteristic

	subgroup	G/H
center	C₂	#10608029
commutator	C₂×C₄×C₅	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₅
Fitting	C₅×#1976	C₂
socle	C₂×C₅	#2328
prime radical	#10615637	C₂
cosocle	C₂²×C₄×C₅	C₂⁴
hypercenter	#1976	D₅
hypocenter	C₅	#22286
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ #1976

Complements

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

N	H ≅ G/N	type
1. #10615641	C₂	semidirect
3. #10610898	C₂	semidirect
4. C₅×#1976	C₂	semidirect
5. #10601450	C₂	semidirect
6. #10601201	C₂	semidirect
7. #10601193	C₂	semidirect
8. #10600842	C₂	semidirect
9. #10600840	C₂	semidirect
10. #10600696	C₂	semidirect
11. #10600688	C₂	semidirect
25. #65480	C₄	semidirect
26. #65465	C₄	semidirect
27. #65440	C₄	semidirect
49. C₂×C₅×Q₁₆	C₂×C₄	semidirect
50. C₂×C₅×SD₁₆	C₂×C₄	semidirect
51. C₂×C₅×D₈	C₂×C₄	semidirect
60. #4093	C₂×C₄	semidirect
61. C₂×#688	C₂×C₄	semidirect
62. #4086	C₂×C₄	semidirect
64. C₂×#686	C₂×C₄	semidirect
91. #3947	C₂×C₄	semidirect
92. #3947	D₄	semidirect
93. C₈×Dic₅	C₂×C₄	semidirect
94. C₈×Dic₅	D₄	semidirect
101. #1976	D₅	semidirect
249. C₂×Q₁₆	C₄×D₅	semidirect
251. C₂×SD₁₆	C₄×D₅	semidirect
259. C₂×D₈	C₄×D₅	semidirect
423. C₅	#22286	semidirect

Maximal subgroups

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

subgroup	index
#10615641	2
#10615637	2
#10610898	2
C₅×#1976	2
#10601450	2
#10601201	2
#10601193	2
#10600842	2
#10600840	2
#10600696	2
#10600688	2
#22286	5