Subgroups — #27184779

Order 12928.

1492 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15692302	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×Dic₂₀₂	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×Dic₂₀₂	C₂	1	4	yes	maximal, complemented
4	#20265840	C₂	1	4	yes	maximal, complemented
5	#20265836	C₂	1	4	yes	maximal, complemented
6	#20265833	C₂	1	4	yes	maximal, complemented
7	#20265753	C₂	1	1	yes	maximal, characteristic, complemented
8	#20265749	C₂	1	4	yes	maximal, complemented
9	#20265748	C₂	1	1	yes	maximal, characteristic, complemented
10	#20265688	C₂	1	1	yes	maximal, characteristic, complemented
11	#20265683	C₂	1	4	yes	maximal, complemented
12	#20265654	C₂	1	1	yes	maximal, characteristic, complemented
13	#525×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
14	#15692302	—	2	8	no	—
15	C₂×#13108074	C₂²	1	1	yes	characteristic
16	C₂×#13108074	C₂²	1	2	yes	complemented
17	C₂×#13108073	C₂²	1	4	yes	—
18	C₂×#13108073	C₂²	1	2	yes	complemented
19	C₂²×Dic₂₀₂	—	2	8	no	—
20	C₂²×Dic₂₀₂	C₂²	1	1	yes	characteristic
21	C₂²×Dic₂₀₂	C₂²	1	2	yes	—
22	C₂²×Dic₂₀₂	C₂²	1	4	yes	—
23	C₂²×Dic₂₀₂	C₂²	1	4	yes	—
24	C₂²×Dic₂₀₂	C₂²	1	1	yes	characteristic
25	C₂²×Dic₂₀₂	C₂²	1	2	yes	complemented
26	C₂×Q₈×D₁₀₁	C₂²	1	2	yes	complemented
27	C₂³×Dic₁₀₁	C₂²	1	2	yes	—
28	#15692255	C₂²	1	2	yes	complemented
29	#15692254	C₂²	1	8	yes	complemented
30	#15692253	C₂²	1	2	yes	complemented
31	#15692243	C₂²	1	2	yes	complemented
32	#15692242	C₂²	1	2	yes	complemented
33	#15692241	C₂²	1	8	yes	complemented
34	#15692239	C₂²	1	4	yes	—
35	#15692238	C₂²	1	2	yes	—
36	#15692236	C₂²	1	4	yes	—
37	#15692235	C₂²	1	4	yes	complemented
38	#15692234	C₂²	1	2	yes	—
39	#15692234	C₂²	1	4	yes	complemented
40	#15692233	C₂²	1	8	yes	complemented
41	#15692232	C₂²	1	8	yes	—
42	#15692232	C₂²	1	8	yes	complemented
43	#15692229	C₂²	1	2	yes	—
44	#15692227	C₂²	1	8	yes	—
45	#15692224	C₂²	1	2	yes	—
46	C₄×Dic₂₀₂	C₂²	1	4	yes	complemented
47	#15692220	C₂²	1	4	yes	complemented
48	D₄×Dic₁₀₁	C₂²	1	8	yes	—
49	C₄×C₂²⋊D₁₀₁	C₂²	1	4	yes	—
50	#15692215	C₂²	1	8	yes	—
51	#15692214	C₂²	1	1	yes	characteristic
52	#15692211	C₂²	1	4	yes	—
53	C₂×#41×C₁₀₁	C₂²	1	1	yes	characteristic
54	C₂³×C₄×C₁₀₁	C₂²	1	1	yes	characteristic
55	#123×C₁₀₁	C₂²	1	2	yes	—
56	C₂²⋊Q₈×C₁₀₁	C₂²	1	2	yes	—
57	#121×C₁₀₁	C₂²	1	2	yes	—
58	#120×C₁₀₁	C₂²	1	2	yes	—
59	C₄×D₄×C₁₀₁	C₂²	1	4	yes	—
60	#117×C₁₀₁	C₂²	1	1	yes	characteristic
61	#13108074	—	2	4	no	—
62	#13108074	—	2	8	no	—
63	#13108073	—	2	16	no	—
64	#13108073	—	2	8	no	—
65	C₂×Dic₂₀₂	—	2	4	no	—
66	C₂×Dic₂₀₂	—	2	8	no	—
67	C₂×Dic₂₀₂	—	2	16	no	—
68	C₂×Dic₂₀₂	—	2	16	no	—
69	C₂×Dic₂₀₂	—	2	8	no	—
70	C₂×Dic₂₀₂	D₄	1	8	yes	complemented
71	C₂×Dic₂₀₂	C₂³	1	4	yes	—
72	C₂×Dic₂₀₂	C₂³	1	8	yes	—
73	C₂×Dic₂₀₂	C₂³	1	2	yes	—
74	C₂×Dic₂₀₂	C₂³	1	2	yes	—
75	C₂×Dic₂₀₂	C₂³	1	1	yes	characteristic
76	C₂×Dic₂₀₂	C₂³	1	2	yes	—
77	C₂×Dic₂₀₂	C₂³	1	2	yes	—
78	Q₈×D₁₀₁	—	2	8	no	—
79	C₂×D₄₀₄	C₂³	1	1	yes	characteristic
80	C₂×C₂²⋊D₁₀₁	C₂³	1	2	yes	—
81	C₂×C₂²⋊D₁₀₁	C₂³	1	4	yes	—
82	C₂×C₂²⋊D₁₀₁	C₂³	1	4	yes	—
83	C₂²×Dic₁₀₁	—	2	8	no	—
84	C₂²×Dic₁₀₁	C₂³	1	8	yes	—
85	C₂²×Dic₁₀₁	C₂³	1	2	yes	—
86	C₂²×Dic₁₀₁	C₂³	1	4	yes	—
87	C₂²×Dic₁₀₁	C₂³	1	2	yes	—
88	C₂×C₄×D₁₀₁	C₂³	1	4	yes	—
89	C₂×C₄×D₁₀₁	C₂³	1	2	yes	—
90	C₄⋊Dic₁₀₁	C₂³	1	2	yes	—
91	C₄⋊Dic₁₀₁	C₂³	1	8	yes	—
92	#13108053	C₂³	1	8	yes	—
93	#13108053	C₂³	1	8	yes	—
94	#13108053	C₂³	1	4	yes	—
95	C₂²⋊Dic₁₀₁	C₂³	1	2	yes	—
96	C₂²⋊Dic₁₀₁	C₂³	1	4	yes	—
97	C₂²⋊Dic₁₀₁	C₂³	1	8	yes	—
98	#13108051	C₂³	1	8	yes	—
99	#13108051	C₂³	1	4	yes	—
100	C₄×Dic₁₀₁	C₂³	1	8	yes	—
101	C₄×Dic₁₀₁	C₂³	1	2	yes	—
102	C₂⁴×C₁₀₁	C₂³	1	1	yes	characteristic
103	#41×C₁₀₁	—	2	4	no	—
104	C₂×Q₈×C₁₀₁	C₂³	1	1	yes	characteristic
105	C₂×D₄×C₁₀₁	C₂³	1	2	yes	—
106	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
107	C₂×D₄×C₁₀₁	C₂³	1	4	yes	—
108	C₂²×C₄×C₁₀₁	—	2	4	no	—
109	C₂²×C₄×C₁₀₁	C₂³	1	2	yes	—
110	C₂²×C₄×C₁₀₁	C₂³	1	2	yes	—
111	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
112	C₂²×C₄×C₁₀₁	C₂³	1	2	yes	—
113	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
114	C₄⋊C₄×C₁₀₁	C₂³	1	2	yes	—
115	C₄⋊C₄×C₁₀₁	C₂³	1	4	yes	—
116	C₂²⋊C₄×C₁₀₁	C₂³	1	2	yes	—
117	C₂²⋊C₄×C₁₀₁	C₂³	1	4	yes	—
118	C₂²⋊C₄×C₁₀₁	C₂³	1	4	yes	—
119	C₄²×C₁₀₁	C₂³	1	2	yes	—
120	C₂³×C₁₀₁	—	2	2	no	—
121	C₂³×C₁₀₁	—	2	4	no	—
122	C₂³×C₁₀₁	C₂⁴	1	2	yes	—
123	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
124	C₂³×C₁₀₁	C₂⁴	1	2	yes	—
125	C₂²×D₁₀₁	C₂⁴	1	2	yes	—
126	Q₈×C₁₀₁	—	2	2	no	—
127	D₄×C₁₀₁	—	2	4	no	—
128	D₄×C₁₀₁	—	2	8	no	—
129	D₄×C₁₀₁	—	2	2	no	—
130	C₂×C₄×C₁₀₁	—	2	2	no	—
131	C₂×C₄×C₁₀₁	—	2	4	no	—
132	C₂×C₄×C₁₀₁	—	2	4	no	—
133	C₂×C₄×C₁₀₁	—	2	4	no	—
134	C₂×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
135	C₂×C₄×C₁₀₁	C₂⁴	1	4	yes	—
136	C₂×C₄×C₁₀₁	C₂⁴	1	2	yes	—
137	C₂×C₄×C₁₀₁	C₂⁴	1	2	yes	—
138	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
139	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
140	C₂²⋊D₁₀₁	—	2	4	no	—
141	C₂²⋊D₁₀₁	—	2	8	no	—
142	C₂²⋊D₁₀₁	—	2	8	no	—
143	C₂×Dic₁₀₁	—	2	4	no	—
144	C₂×Dic₁₀₁	—	2	16	no	—
145	C₂×Dic₁₀₁	—	2	8	no	—
146	C₂×Dic₁₀₁	C₂×D₄	1	8	yes	—
147	C₂×Dic₁₀₁	C₂⁴	1	4	yes	—
148	C₂×Dic₁₀₁	C₂⁴	1	4	yes	—
149	C₂×Dic₁₀₁	C₂⁴	1	2	yes	—
150	C₂×Dic₁₀₁	C₂⁴	1	4	yes	—
151	D₄₀₄	—	2	2	no	—
152	C₄×D₁₀₁	—	2	4	no	—
153	C₄×D₁₀₁	—	2	8	no	—
154	Dic₂₀₂	—	2	4	no	—
155	Dic₂₀₂	—	2	4	no	—
156	Dic₂₀₂	—	2	2	no	—
157	Dic₂₀₂	—	2	8	no	—
158	Dic₂₀₂	—	2	16	no	—
159	Dic₂₀₂	C₂×D₄	1	8	yes	—
160	Dic₂₀₂	C₂×D₄	1	8	yes	—
161	C₂²×C₁₀₁	—	2	8	no	—
162	C₂²×C₁₀₁	—	2	2	no	—
163	C₂²×C₁₀₁	—	2	2	no	—
164	C₂²×C₁₀₁	—	2	2	no	—
165	C₂²×C₁₀₁	—	2	2	no	—
166	C₂²×C₁₀₁	—	2	4	no	—
167	C₂²×C₁₀₁	C₂²×D₄	1	2	yes	—
168	C₂²×C₁₀₁	2₋¹⁺⁴	1	4	yes	complemented
169	C₂²×C₁₀₁	C₂⁵	1	1	yes	characteristic
170	C₂×D₁₀₁	—	2	2	no	—
171	C₂×D₁₀₁	—	2	4	no	—
172	C₄×C₁₀₁	—	2	2	no	—
173	C₄×C₁₀₁	—	2	2	no	—
174	C₄×C₁₀₁	—	2	4	no	—
175	C₄×C₁₀₁	C₂²×D₄	1	2	yes	—
176	C₄×C₁₀₁	C₂²×D₄	1	2	yes	—
177	Dic₁₀₁	—	2	4	no	—
178	Dic₁₀₁	—	2	2	no	—
179	Dic₁₀₁	—	2	4	no	—
180	Dic₁₀₁	C₂²×D₄	1	8	yes	—
181	C₂×C₁₀₁	—	2	2	no	—
182	C₂×C₁₀₁	—	2	4	no	—
183	C₂×C₁₀₁	—	4	2	no	—
184	C₂×C₁₀₁	C₂³×D₄	1	1	yes	characteristic
185	C₂×C₁₀₁	C₂×2₋¹⁺⁴	1	2	yes	—
186	D₁₀₁	—	4	2	no	—
187	#3486	—	101	1	no	maximal, Sylow
188	C₁₀₁	#3486	1	1	yes	characteristic, complemented, Sylow
189	C₂×2₋¹⁺⁴	—	101	1	no	—
190	C₂³×Q₈	—	101	1	no	—
191	D₄×Q₈	—	101	4	no	—
192	D₄×Q₈	—	101	4	no	—
193	#548	—	101	4	no	—
194	#548	—	101	4	no	—
195	#536	—	101	1	no	—
196	#536	—	101	4	no	—
197	#536	—	101	1	no	—
198	#525	—	101	1	no	—
199	#525	—	101	4	no	—
200	#525	D₁₀₁	1	1	yes	characteristic, complemented
201	#519	—	101	1	no	—
202	2₋¹⁺⁴	—	202	8	no	—
203	C₂×#41	—	101	4	no	—
204	C₂×#41	—	101	2	no	—
205	C₂×#41	—	101	1	no	—
206	C₂×#41	—	101	2	no	—
207	C₂×#41	C₂×D₁₀₁	1	1	yes	characteristic
208	C₂²×Q₈	—	101	2	no	—
209	C₂²×Q₈	—	101	1	no	—
210	C₂²×Q₈	—	101	2	no	—
211	C₂²×Q₈	—	101	1	no	—
212	C₂²×Q₈	—	101	4	no	—
213	C₂²×Q₈	—	101	4	no	—
214	C₂²×Q₈	—	101	2	no	—
215	C₂²×Q₈	—	202	8	no	—
216	C₂³×C₄	—	101	2	no	—
217	C₂³×C₄	C₂×D₁₀₁	1	1	yes	characteristic
218	C₄⋊Q₈	—	101	2	no	—
219	C₄⋊Q₈	—	101	8	no	—
220	C₄⋊Q₈	—	101	2	no	—
221	#124	—	101	2	no	—
222	#124	—	101	8	no	—
223	#124	—	101	2	no	—
224	#123	—	101	4	no	—
225	#123	—	101	2	no	—
226	#123	—	101	4	no	—
227	#123	C₂×D₁₀₁	1	2	yes	—
228	C₂²⋊Q₈	—	101	2	no	—
229	C₂²⋊Q₈	—	101	4	no	—
230	C₂²⋊Q₈	—	101	8	no	—
231	C₂²⋊Q₈	—	101	4	no	—
232	C₂²⋊Q₈	—	101	8	no	—
233	C₂²⋊Q₈	—	101	8	no	—
234	C₂²⋊Q₈	C₂×D₁₀₁	1	2	yes	—
235	#121	—	101	8	no	—
236	#121	—	101	2	no	—
237	#121	C₂×D₁₀₁	1	2	yes	—
238	#120	—	101	2	no	—
239	#120	C₂×D₁₀₁	1	2	yes	—
240	C₄×Q₈	—	101	4	no	—
241	C₄×Q₈	—	101	4	no	—
242	C₄×D₄	—	101	8	no	—
243	C₄×D₄	—	101	4	no	—
244	C₄×D₄	—	101	8	no	—
245	C₄×D₄	C₂×D₁₀₁	1	4	yes	—
246	#117	—	101	1	no	—
247	#117	—	101	4	no	—
248	#117	C₂×D₁₀₁	1	1	yes	characteristic
249	C₂⁴	C₂²×D₁₀₁	1	1	yes	characteristic
250	#41	—	2	4	no	—
251	#41	—	202	8	no	—
252	#41	—	202	16	no	—
253	#41	—	202	8	no	—
254	#41	—	202	4	no	—
255	C₂×Q₈	—	101	8	no	—
256	C₂×Q₈	—	101	2	no	—
257	C₂×Q₈	—	101	2	no	—
258	C₂×Q₈	—	101	8	no	—
259	C₂×Q₈	—	101	2	no	—
260	C₂×Q₈	—	101	2	no	—
261	C₂×Q₈	—	101	4	no	—
262	C₂×Q₈	—	101	1	no	—
263	C₂×Q₈	—	202	8	no	—
264	C₂×Q₈	—	202	16	no	—
265	C₂×Q₈	—	202	16	no	—
266	C₂×Q₈	—	202	8	no	—
267	C₂×Q₈	—	202	8	no	—
268	C₂×Q₈	—	202	4	no	—
269	C₂×Q₈	C₂²×D₁₀₁	1	1	yes	characteristic
270	C₂×D₄	—	101	4	no	—
271	C₂×D₄	—	101	2	no	—
272	C₂×D₄	—	101	4	no	—
273	C₂×D₄	—	101	1	no	—
274	C₂×D₄	C₂²×D₁₀₁	1	4	yes	—
275	C₂×D₄	C₂²×D₁₀₁	1	2	yes	—
276	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
277	C₂²×C₄	—	2	4	no	—
278	C₂²×C₄	—	101	2	no	—
279	C₂²×C₄	—	101	8	no	—
280	C₂²×C₄	—	101	4	no	—
281	C₂²×C₄	—	101	2	no	—
282	C₂²×C₄	—	101	4	no	—
283	C₂²×C₄	—	101	2	no	—
284	C₂²×C₄	—	202	8	no	—
285	C₂²×C₄	C₂²×D₁₀₁	1	2	yes	—
286	C₂²×C₄	C₂²×D₁₀₁	1	2	yes	—
287	C₂²×C₄	C₂²×D₁₀₁	1	2	yes	—
288	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
289	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
290	C₄⋊C₄	—	101	8	no	—
291	C₄⋊C₄	—	101	8	no	—
292	C₄⋊C₄	—	101	4	no	—
293	C₄⋊C₄	—	101	2	no	—
294	C₄⋊C₄	—	101	8	no	—
295	C₄⋊C₄	C₂²×D₁₀₁	1	2	yes	—
296	C₄⋊C₄	C₂²×D₁₀₁	1	4	yes	—
297	C₂²⋊C₄	—	101	2	no	—
298	C₂²⋊C₄	—	101	4	no	—
299	C₂²⋊C₄	—	101	8	no	—
300	C₂²⋊C₄	—	101	4	no	—
301	C₂²⋊C₄	—	101	8	no	—
302	C₂²⋊C₄	C₂²×D₁₀₁	1	2	yes	—
303	C₂²⋊C₄	C₂²×D₁₀₁	1	4	yes	—
304	C₂²⋊C₄	C₂²×D₁₀₁	1	4	yes	—
305	C₄²	—	101	8	no	—
306	C₄²	—	101	2	no	—
307	C₄²	C₂²×D₁₀₁	1	2	yes	—
308	C₂³	—	2	2	no	—
309	C₂³	—	2	4	no	—
310	C₂³	—	101	2	no	—
311	C₂³	C₂³×D₁₀₁	1	2	yes	—
312	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
313	C₂³	C₂³×D₁₀₁	1	2	yes	—
314	Q₈	—	2	2	no	—
315	Q₈	—	101	8	no	—
316	Q₈	—	101	8	no	—
317	Q₈	—	202	16	no	—
318	Q₈	—	202	8	no	—
319	Q₈	—	202	4	no	—
320	Q₈	—	202	4	no	—
321	Q₈	—	202	2	no	—
322	D₄	—	2	4	no	—
323	D₄	—	2	8	no	—
324	D₄	—	2	2	no	—
325	D₄	—	202	8	no	—
326	D₄	—	202	4	no	—
327	D₄	—	202	8	no	—
328	D₄	—	202	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	4	no	—
331	C₂×C₄	—	2	4	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	101	8	no	—
334	C₂×C₄	—	101	4	no	—
335	C₂×C₄	—	101	4	no	—
336	C₂×C₄	—	101	4	no	—
337	C₂×C₄	—	101	2	no	—
338	C₂×C₄	—	202	8	no	—
339	C₂×C₄	—	202	16	no	—
340	C₂×C₄	—	202	8	no	—
341	C₂×C₄	—	202	4	no	—
342	C₂×C₄	—	202	4	no	—
343	C₂×C₄	D₄×D₁₀₁	1	4	yes	—
344	C₂×C₄	C₂³×D₁₀₁	1	4	yes	—
345	C₂×C₄	C₂³×D₁₀₁	1	2	yes	—
346	C₂×C₄	C₂³×D₁₀₁	1	2	yes	—
347	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
348	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
349	C₂²	—	2	8	no	—
350	C₂²	—	2	2	no	—
351	C₂²	—	2	2	no	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	4	no	—
355	C₂²	—	202	2	no	—
356	C₂²	—	202	4	no	—
357	C₂²	C₂×D₄×D₁₀₁	1	2	yes	—
358	C₂²	#15692302	1	4	yes	complemented
359	C₂²	C₂⁴×D₁₀₁	1	1	yes	characteristic
360	C₄	—	2	2	no	—
361	C₄	—	2	2	no	—
362	C₄	—	2	4	no	—
363	C₄	—	101	8	no	—
364	C₄	—	202	2	no	—
365	C₄	—	202	4	no	—
366	C₄	—	202	4	no	—
367	C₄	C₂×D₄×D₁₀₁	1	2	yes	—
368	C₄	C₂×D₄×D₁₀₁	1	2	yes	—
369	C₂	—	2	2	no	—
370	C₂	—	2	4	no	—
371	C₂	—	4	2	no	—
372	C₂	—	404	2	no	—
373	C₂	C₂²×D₄×D₁₀₁	1	1	yes	characteristic
374	C₂	C₂×#15692302	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₀₁
commutator, socle, cosocle	C₂²×C₁₀₁	C₂⁵
Fitting	#525×C₁₀₁	C₂
hypercenter	#525	D₁₀₁
hypocenter	C₁₀₁	#3486
LCS	G ▷ C₂²×C₁₀₁ ▷ C₁₀₁
UCS	C₁ ◁ C₂² ◁ #525

Complements

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

N	H ≅ G/N	type
1. C₂×#15692302	C₂	semidirect
2. C₂³×Dic₂₀₂	C₂	semidirect
3. D₄×Dic₂₀₂	C₂	semidirect
4. #20265840	C₂	semidirect
5. #20265836	C₂	semidirect
6. #20265833	C₂	semidirect
7. #20265753	C₂	semidirect
8. #20265749	C₂	semidirect
9. #20265748	C₂	semidirect
10. #20265688	C₂	semidirect
11. #20265683	C₂	semidirect
12. #20265654	C₂	semidirect
13. #525×C₁₀₁	C₂	semidirect
16. C₂×#13108074	C₂²	semidirect
18. C₂×#13108073	C₂²	semidirect
25. C₂²×Dic₂₀₂	C₂²	semidirect
26. C₂×Q₈×D₁₀₁	C₂²	semidirect
28. #15692255	C₂²	semidirect
29. #15692254	C₂²	semidirect
30. #15692253	C₂²	semidirect
31. #15692243	C₂²	semidirect
32. #15692242	C₂²	semidirect
33. #15692241	C₂²	semidirect
37. #15692235	C₂²	semidirect
39. #15692234	C₂²	semidirect
40. #15692233	C₂²	semidirect
42. #15692232	C₂²	semidirect
46. C₄×Dic₂₀₂	C₂²	semidirect
47. #15692220	C₂²	semidirect
70. C₂×Dic₂₀₂	D₄	semidirect
168. C₂²×C₁₀₁	2₋¹⁺⁴	semidirect
188. C₁₀₁	#3486	semidirect
200. #525	D₁₀₁	semidirect
358. C₂²	#15692302	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15692302	2
C₂³×Dic₂₀₂	2
D₄×Dic₂₀₂	2
#20265840	2
#20265836	2
#20265833	2
#20265753	2
#20265749	2
#20265748	2
#20265688	2
#20265683	2
#20265654	2
#525×C₁₀₁	2
#3486	101