Subgroups — #44649

Order 256.

1275 conjugacy classes of subgroups.

The subgroup lattice has 873 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#538	C₂	1	1	yes	maximal, characteristic, complemented
3	#2730	C₂	1	1	yes	maximal, characteristic, complemented
4	#2728	C₂	1	1	yes	maximal, characteristic, complemented
5	#2703	C₂	1	1	yes	maximal, characteristic, complemented
6	#2698	C₂	1	1	yes	maximal, characteristic, complemented
7	#2688	C₂	1	1	yes	maximal, characteristic, complemented
8	#2681	C₂	1	1	yes	maximal, characteristic, complemented
9	#2669	C₂	1	1	yes	maximal, characteristic, complemented
10	#2668	C₂	1	1	yes	maximal, characteristic, complemented
11	#2604	C₂	1	1	yes	maximal, characteristic, complemented
12	#2603	C₂	1	1	yes	maximal, characteristic, complemented
13	#2559	C₂	1	1	yes	maximal, characteristic, complemented
14	#2557	C₂	1	1	yes	maximal, characteristic, complemented
15	#2555	C₂	1	1	yes	maximal, characteristic, complemented
16	#2488	C₂	1	1	yes	maximal, characteristic, complemented
17	#2472	C₂	1	1	yes	maximal, characteristic, complemented
18	#2472	C₂	1	1	yes	maximal, characteristic, complemented
19	#2464	C₂	1	1	yes	maximal, characteristic, complemented
20	#2459	C₂	1	1	yes	maximal, characteristic, complemented
21	#2457	C₂	1	1	yes	maximal, characteristic, complemented
22	#2436	C₂	1	1	yes	maximal, characteristic, complemented
23	#2430	C₂	1	1	yes	maximal, characteristic, complemented
24	#2428	C₂	1	1	yes	maximal, characteristic, complemented
25	#2409	C₂	1	1	yes	maximal, characteristic, complemented
26	#2404	C₂	1	1	yes	maximal, characteristic, complemented
27	#2398	C₂	1	1	yes	maximal, characteristic, complemented
28	#2372	C₂	1	1	yes	maximal, characteristic, complemented
29	#2364	C₂	1	1	yes	maximal, characteristic, complemented
30	#2358	C₂	1	1	yes	maximal, characteristic, complemented
31	#2328	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41	C₂²	1	1	yes	characteristic
33	C₂³×Q₈	C₂²	1	1	yes	characteristic, complemented
34	#548	—	2	8	no	—
35	#538	—	2	8	no	—
36	C₂×#127	C₂²	1	1	yes	characteristic
37	C₂×#126	C₂²	1	1	yes	characteristic
38	C₂×#126	C₂²	1	1	yes	characteristic
39	C₂×#124	C₂²	1	1	yes	characteristic
40	C₂×#124	C₂²	1	1	yes	characteristic
41	C₂×#124	C₂²	1	1	yes	characteristic
42	C₂×#124	C₂²	1	1	yes	characteristic
43	C₂×#124	C₂²	1	1	yes	characteristic, complemented
44	C₂×#123	C₂²	1	1	yes	characteristic
45	C₂×#123	C₂²	1	1	yes	characteristic
46	C₂×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×#121	C₂²	1	1	yes	characteristic
53	C₂×#121	C₂²	1	1	yes	characteristic
54	C₂×#121	C₂²	1	1	yes	characteristic
55	C₂×#121	C₂²	1	1	yes	characteristic
56	C₂×#121	C₂²	1	1	yes	characteristic
57	C₂×#121	C₂²	1	1	yes	characteristic
58	C₂×#121	C₂²	1	1	yes	characteristic
59	C₂×#121	C₂²	1	1	yes	characteristic, complemented
60	C₂×#121	C₂²	1	1	yes	characteristic, complemented
61	C₂×#120	C₂²	1	1	yes	characteristic
62	C₂×#120	C₂²	1	1	yes	characteristic
63	C₂×#120	C₂²	1	1	yes	characteristic
64	C₂×#120	C₂²	1	1	yes	characteristic
65	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
67	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
68	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
69	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
70	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
73	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
74	#400	C₂²	1	1	yes	characteristic, complemented
75	#400	C₂²	1	1	yes	characteristic, complemented
76	#400	C₂²	1	1	yes	characteristic, complemented
77	#400	C₂²	1	1	yes	characteristic, complemented
78	#399	C₂²	1	1	yes	characteristic
79	#398	C₂²	1	1	yes	characteristic, complemented
80	#398	C₂²	1	1	yes	characteristic, complemented
81	#397	C₂²	1	1	yes	characteristic
82	#397	C₂²	1	1	yes	characteristic
83	#397	C₂²	1	1	yes	characteristic
84	#397	C₂²	1	1	yes	characteristic
85	#397	C₂²	1	1	yes	characteristic, complemented
86	#397	C₂²	1	1	yes	characteristic, complemented
87	#396	C₂²	1	1	yes	characteristic, complemented
88	#395	C₂²	1	1	yes	characteristic, complemented
89	#395	C₂²	1	1	yes	characteristic, complemented
90	#394	C₂²	1	1	yes	characteristic
91	#394	C₂²	1	1	yes	characteristic
92	#394	C₂²	1	1	yes	characteristic
93	#394	C₂²	1	1	yes	characteristic
94	#394	C₂²	1	1	yes	characteristic
95	#394	C₂²	1	1	yes	characteristic
96	#394	C₂²	1	1	yes	characteristic
97	#394	C₂²	1	1	yes	characteristic
98	#394	C₂²	1	1	yes	characteristic, complemented
99	#394	C₂²	1	1	yes	characteristic, complemented
100	#393	C₂²	1	1	yes	characteristic
101	#393	C₂²	1	1	yes	characteristic
102	#393	C₂²	1	1	yes	characteristic
103	#393	C₂²	1	1	yes	characteristic
104	#393	C₂²	1	1	yes	characteristic, complemented
105	#393	C₂²	1	1	yes	characteristic, complemented
106	#392	C₂²	1	1	yes	characteristic
107	#392	C₂²	1	1	yes	characteristic
108	#392	C₂²	1	1	yes	characteristic
109	#392	C₂²	1	1	yes	characteristic
110	#392	C₂²	1	1	yes	characteristic
111	#392	C₂²	1	1	yes	characteristic
112	#392	C₂²	1	1	yes	characteristic
113	#392	C₂²	1	1	yes	characteristic, complemented
114	#391	C₂²	1	1	yes	characteristic, complemented
115	#391	C₂²	1	1	yes	characteristic, complemented
116	#391	C₂²	1	1	yes	characteristic, complemented
117	#391	C₂²	1	1	yes	characteristic, complemented
118	#390	C₂²	1	1	yes	characteristic
119	#390	C₂²	1	1	yes	characteristic
120	#390	C₂²	1	1	yes	characteristic
121	#390	C₂²	1	1	yes	characteristic, complemented
122	#390	C₂²	1	1	yes	characteristic, complemented
123	#389	C₂²	1	1	yes	characteristic, complemented
124	#389	C₂²	1	1	yes	characteristic, complemented
125	#388	C₂²	1	1	yes	characteristic
126	#388	C₂²	1	1	yes	characteristic
127	#388	C₂²	1	1	yes	characteristic
128	#388	C₂²	1	1	yes	characteristic
129	#388	C₂²	1	1	yes	characteristic
130	#388	C₂²	1	1	yes	characteristic
131	#388	C₂²	1	1	yes	characteristic
132	#388	C₂²	1	1	yes	characteristic
133	#388	C₂²	1	1	yes	characteristic, complemented
134	#388	C₂²	1	1	yes	characteristic, complemented
135	#388	C₂²	1	1	yes	characteristic, complemented
136	#388	C₂²	1	1	yes	characteristic, complemented
137	#388	C₂²	1	1	yes	characteristic, complemented
138	#388	C₂²	1	1	yes	characteristic, complemented
139	#387	C₂²	1	1	yes	characteristic, complemented
140	#387	C₂²	1	1	yes	characteristic, complemented
141	#387	C₂²	1	1	yes	characteristic, complemented
142	#386	C₂²	1	1	yes	characteristic
143	#386	C₂²	1	1	yes	characteristic
144	#386	C₂²	1	1	yes	characteristic
145	#386	C₂²	1	1	yes	characteristic
146	#386	C₂²	1	1	yes	characteristic
147	#386	C₂²	1	1	yes	characteristic
148	#386	C₂²	1	1	yes	characteristic
149	#386	C₂²	1	1	yes	characteristic
150	#386	C₂²	1	1	yes	characteristic
151	#386	C₂²	1	1	yes	characteristic
152	#386	C₂²	1	1	yes	characteristic
153	#386	C₂²	1	1	yes	characteristic
154	#386	C₂²	1	1	yes	characteristic
155	#386	C₂²	1	1	yes	characteristic
156	#386	C₂²	1	1	yes	characteristic
157	#386	C₂²	1	1	yes	characteristic
158	#386	C₂²	1	1	yes	characteristic
159	#386	C₂²	1	1	yes	characteristic
160	#386	C₂²	1	1	yes	characteristic, complemented
161	#386	C₂²	1	1	yes	characteristic, complemented
162	#386	C₂²	1	1	yes	characteristic, complemented
163	#386	C₂²	1	1	yes	characteristic, complemented
164	#386	C₂²	1	1	yes	characteristic, complemented
165	#386	C₂²	1	1	yes	characteristic, complemented
166	#386	C₂²	1	1	yes	characteristic, complemented
167	#385	C₂²	1	1	yes	characteristic
168	#385	C₂²	1	1	yes	characteristic
169	#385	C₂²	1	1	yes	characteristic, complemented
170	#385	C₂²	1	1	yes	characteristic, complemented
171	#385	C₂²	1	1	yes	characteristic, complemented
172	#382	C₂²	1	1	yes	characteristic, complemented
173	#381	C₂²	1	1	yes	characteristic
174	#381	C₂²	1	1	yes	characteristic, complemented
175	#380	C₂²	1	1	yes	characteristic, complemented
176	#379	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	#376	C₂²	1	1	yes	characteristic, complemented
187	#376	C₂²	1	1	yes	characteristic, complemented
188	C₂×#95	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵	C₂³	1	1	yes	characteristic
190	C₂×#41	—	2	4	no	—
191	C₂×#41	—	4	2	no	—
192	C₂×#41	—	4	2	no	—
193	C₂²×Q₈	—	2	4	no	—
194	C₂²×Q₈	—	4	2	no	—
195	C₂²×Q₈	—	4	2	no	—
196	C₂²×Q₈	C₂³	1	1	yes	characteristic
197	C₂²×Q₈	C₂³	1	1	yes	characteristic
198	C₂²×Q₈	C₂³	1	1	yes	characteristic
199	C₂²×Q₈	C₂³	1	1	yes	characteristic
200	C₂²×D₄	C₂³	1	1	yes	characteristic
201	C₂²×D₄	C₂³	1	1	yes	characteristic
202	C₂²×D₄	C₂³	1	1	yes	characteristic
203	C₂²×D₄	C₂³	1	1	yes	characteristic
204	C₂²×D₄	C₂³	1	1	yes	characteristic
205	C₂²×D₄	C₂³	1	1	yes	characteristic
206	C₂²×D₄	C₂³	1	1	yes	characteristic
207	C₂²×D₄	C₂³	1	1	yes	characteristic
208	C₂²×D₄	C₂³	1	1	yes	characteristic
209	C₂²×D₄	C₂³	1	1	yes	characteristic
210	C₂²×D₄	C₂³	1	1	yes	characteristic
211	C₂²×D₄	C₂³	1	1	yes	characteristic
212	C₂²×D₄	C₂³	1	1	yes	characteristic
213	C₂²×D₄	C₂³	1	1	yes	characteristic
214	C₂²×D₄	C₂³	1	1	yes	characteristic
215	C₂²×D₄	C₂³	1	1	yes	characteristic
216	C₂²×D₄	C₂³	1	1	yes	characteristic
217	C₂²×D₄	C₂³	1	1	yes	characteristic
218	C₂³×C₄	C₂³	1	1	yes	characteristic
219	C₂³×C₄	C₂³	1	1	yes	characteristic
220	C₂³×C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₄	C₂³	1	1	yes	characteristic
225	C₂³×C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₄	C₂³	1	1	yes	characteristic
230	#127	—	2	4	no	—
231	#126	—	2	4	no	—
232	#126	—	2	4	no	—
233	#124	—	2	4	no	—
234	#124	—	2	4	no	—
235	#124	—	2	4	no	—
236	#124	—	4	2	no	—
237	#124	D₄	1	8	yes	complemented
238	#123	—	2	4	no	—
239	#123	—	2	4	no	—
240	#123	—	4	2	no	—
241	C₂²⋊Q₈	—	2	4	no	—
242	C₂²⋊Q₈	—	2	4	no	—
243	C₂²⋊Q₈	—	2	4	no	—
244	C₂²⋊Q₈	—	2	4	no	—
245	C₂²⋊Q₈	—	4	2	no	—
246	#121	—	2	4	no	—
247	#121	—	2	4	no	—
248	#121	—	2	4	no	—
249	#121	—	2	4	no	—
250	#121	—	2	4	no	—
251	#121	—	2	4	no	—
252	#121	—	2	4	no	—
253	#121	—	4	2	no	—
254	#121	—	4	2	no	—
255	#120	—	2	4	no	—
256	#120	—	2	4	no	—
257	#120	—	2	4	no	—
258	#120	—	4	2	no	—
259	C₄×Q₈	—	2	4	no	—
260	C₄×D₄	—	2	4	no	—
261	C₄×D₄	—	2	4	no	—
262	C₄×D₄	—	2	4	no	—
263	C₄×D₄	—	2	4	no	—
264	C₄×D₄	—	2	4	no	—
265	C₄×D₄	—	4	2	no	—
266	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄	—	2	4	no	—
287	C₂×C₂²⋊C₄	—	4	2	no	—
288	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₄²	C₂³	1	1	yes	characteristic
343	C₂×C₄²	C₂³	1	1	yes	characteristic
344	C₂×C₄²	C₂³	1	1	yes	characteristic
345	C₂×C₄²	C₂³	1	1	yes	characteristic
346	C₂×C₄²	C₂³	1	1	yes	characteristic
347	C₂×C₄²	C₂³	1	1	yes	characteristic
348	C₂×C₄²	C₂³	1	1	yes	characteristic
349	C₂×C₄²	C₂³	1	1	yes	characteristic
350	C₂×C₄²	C₂³	1	1	yes	characteristic
351	C₂×C₄²	C₂³	1	1	yes	characteristic
352	#95	C₂³	1	1	yes	characteristic
353	#95	C₂³	1	1	yes	characteristic
354	#95	C₂³	1	1	yes	characteristic
355	#95	C₂³	1	1	yes	characteristic
356	#95	C₂³	1	1	yes	characteristic
357	#95	C₂³	1	1	yes	characteristic
358	#95	C₂³	1	1	yes	characteristic
359	#95	C₂³	1	1	yes	characteristic
360	#95	C₂³	1	1	yes	characteristic
361	#95	C₂³	1	1	yes	characteristic
362	#95	C₂³	1	1	yes	characteristic
363	#95	C₂³	1	1	yes	characteristic
364	#95	C₂³	1	1	yes	characteristic
365	#95	C₂³	1	1	yes	characteristic
366	#95	C₂³	1	1	yes	characteristic
367	#95	C₂³	1	1	yes	characteristic
368	#95	C₂³	1	1	yes	characteristic
369	#95	C₂³	1	1	yes	characteristic
370	#95	C₂³	1	1	yes	characteristic
371	#95	C₂³	1	1	yes	characteristic
372	#95	C₂³	1	1	yes	characteristic
373	#95	C₂³	1	1	yes	characteristic
374	#95	C₂³	1	1	yes	characteristic
375	#95	C₂³	1	1	yes	characteristic
376	#95	C₂³	1	1	yes	characteristic
377	#95	C₂³	1	1	yes	characteristic
378	#95	C₂³	1	1	yes	characteristic
379	#95	C₂³	1	1	yes	characteristic
380	#95	C₂³	1	1	yes	characteristic
381	#95	C₂³	1	1	yes	characteristic
382	#95	C₂³	1	1	yes	characteristic
383	#95	C₂³	1	1	yes	characteristic
384	#95	C₂³	1	1	yes	characteristic
385	#95	C₂³	1	1	yes	characteristic
386	#95	C₂³	1	1	yes	characteristic
387	#95	C₂³	1	1	yes	characteristic
388	C₂⁴	—	2	2	no	—
389	C₂⁴	—	2	2	no	—
390	C₂⁴	—	4	1	no	—
391	C₂⁴	—	4	1	no	—
392	C₂⁴	—	4	1	no	—
393	C₂⁴	—	4	1	no	—
394	C₂⁴	—	4	1	no	—
395	C₂⁴	C₂⁴	1	1	yes	characteristic
396	C₂⁴	C₂⁴	1	1	yes	characteristic
397	C₂⁴	C₂⁴	1	1	yes	characteristic
398	C₂⁴	C₂⁴	1	1	yes	characteristic
399	C₂⁴	C₂⁴	1	1	yes	characteristic
400	C₂⁴	C₂⁴	1	1	yes	characteristic
401	C₂⁴	C₂⁴	1	1	yes	characteristic
402	#41	—	4	16	no	—
403	C₂×Q₈	—	2	2	no	—
404	C₂×Q₈	—	2	2	no	—
405	C₂×Q₈	—	2	2	no	—
406	C₂×Q₈	—	2	2	no	—
407	C₂×Q₈	—	2	2	no	—
408	C₂×Q₈	—	2	2	no	—
409	C₂×Q₈	—	2	2	no	—
410	C₂×Q₈	—	4	1	no	—
411	C₂×Q₈	—	4	1	no	—
412	C₂×Q₈	—	4	1	no	—
413	C₂×Q₈	—	4	1	no	—
414	C₂×Q₈	—	4	16	no	—
415	C₂×Q₈	C₂×D₄	1	4	yes	—
416	C₂×D₄	—	2	2	no	—
417	C₂×D₄	—	2	2	no	—
418	C₂×D₄	—	2	2	no	—
419	C₂×D₄	—	2	2	no	—
420	C₂×D₄	—	2	2	no	—
421	C₂×D₄	—	2	2	no	—
422	C₂×D₄	—	2	2	no	—
423	C₂×D₄	—	2	2	no	—
424	C₂×D₄	—	2	2	no	—
425	C₂×D₄	—	2	2	no	—
426	C₂×D₄	—	2	2	no	—
427	C₂×D₄	—	2	2	no	—
428	C₂×D₄	—	2	2	no	—
429	C₂×D₄	—	2	2	no	—
430	C₂×D₄	—	2	2	no	—
431	C₂×D₄	—	2	2	no	—
432	C₂×D₄	—	2	2	no	—
433	C₂×D₄	—	2	2	no	—
434	C₂×D₄	—	2	2	no	—
435	C₂×D₄	—	2	2	no	—
436	C₂×D₄	—	2	2	no	—
437	C₂×D₄	—	2	2	no	—
438	C₂×D₄	—	4	1	no	—
439	C₂×D₄	—	4	1	no	—
440	C₂×D₄	—	4	1	no	—
441	C₂×D₄	—	4	1	no	—
442	C₂×D₄	—	4	1	no	—
443	C₂×D₄	—	4	1	no	—
444	C₂×D₄	—	4	1	no	—
445	C₂×D₄	—	4	1	no	—
446	C₂×D₄	—	4	1	no	—
447	C₂×D₄	—	4	1	no	—
448	C₂×D₄	—	4	1	no	—
449	C₂×D₄	—	4	1	no	—
450	C₂×D₄	—	4	1	no	—
451	C₂×D₄	—	4	1	no	—
452	C₂×D₄	—	4	1	no	—
453	C₂×D₄	—	4	1	no	—
454	C₂×D₄	—	4	1	no	—
455	C₂×D₄	—	4	1	no	—
456	C₂×D₄	—	4	1	no	—
457	C₂×D₄	—	4	1	no	—
458	C₂×D₄	—	4	1	no	—
459	C₂×D₄	—	4	1	no	—
460	C₂×D₄	—	4	1	no	—
461	C₂×D₄	—	4	1	no	—
462	C₂×D₄	—	4	1	no	—
463	C₂×D₄	—	4	1	no	—
464	C₂×D₄	—	4	1	no	—
465	C₂×D₄	—	4	1	no	—
466	C₂×D₄	—	4	1	no	—
467	C₂×D₄	—	4	1	no	—
468	C₂×D₄	C₂×D₄	1	4	yes	—
469	C₂×D₄	#41	1	4	yes	complemented
470	C₂²×C₄	—	2	2	no	—
471	C₂²×C₄	—	2	2	no	—
472	C₂²×C₄	—	2	2	no	—
473	C₂²×C₄	—	2	2	no	—
474	C₂²×C₄	—	2	2	no	—
475	C₂²×C₄	—	2	2	no	—
476	C₂²×C₄	—	2	2	no	—
477	C₂²×C₄	—	2	2	no	—
478	C₂²×C₄	—	2	2	no	—
479	C₂²×C₄	—	2	2	no	—
480	C₂²×C₄	—	2	2	no	—
481	C₂²×C₄	—	2	2	no	—
482	C₂²×C₄	—	2	2	no	—
483	C₂²×C₄	—	2	2	no	—
484	C₂²×C₄	—	2	2	no	—
485	C₂²×C₄	—	4	1	no	—
486	C₂²×C₄	—	4	1	no	—
487	C₂²×C₄	—	4	1	no	—
488	C₂²×C₄	—	4	1	no	—
489	C₂²×C₄	—	4	1	no	—
490	C₂²×C₄	—	4	1	no	—
491	C₂²×C₄	—	4	1	no	—
492	C₂²×C₄	—	4	1	no	—
493	C₂²×C₄	—	4	1	no	—
494	C₂²×C₄	—	4	1	no	—
495	C₂²×C₄	—	4	1	no	—
496	C₂²×C₄	—	4	1	no	—
497	C₂²×C₄	—	4	1	no	—
498	C₂²×C₄	—	4	1	no	—
499	C₂²×C₄	—	4	1	no	—
500	C₂²×C₄	—	4	1	no	—
501	C₂²×C₄	—	4	1	no	—
502	C₂²×C₄	—	4	1	no	—
503	C₂²×C₄	—	4	1	no	—
504	C₂²×C₄	—	4	1	no	—
505	C₂²×C₄	—	4	1	no	—
506	C₂²×C₄	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄	C₂⁴	1	1	yes	characteristic
530	C₄⋊C₄	—	2	2	no	—
531	C₄⋊C₄	—	2	2	no	—
532	C₄⋊C₄	—	2	2	no	—
533	C₄⋊C₄	—	2	2	no	—
534	C₄⋊C₄	—	2	2	no	—
535	C₄⋊C₄	—	2	2	no	—
536	C₄⋊C₄	—	2	2	no	—
537	C₄⋊C₄	—	2	2	no	—
538	C₄⋊C₄	—	2	2	no	—
539	C₄⋊C₄	—	2	2	no	—
540	C₄⋊C₄	—	2	2	no	—
541	C₄⋊C₄	—	2	2	no	—
542	C₄⋊C₄	—	2	2	no	—
543	C₄⋊C₄	—	2	2	no	—
544	C₄⋊C₄	—	2	2	no	—
545	C₄⋊C₄	—	4	1	no	—
546	C₄⋊C₄	—	4	1	no	—
547	C₄⋊C₄	—	4	1	no	—
548	C₄⋊C₄	—	4	1	no	—
549	C₄⋊C₄	—	4	1	no	—
550	C₂²⋊C₄	—	2	2	no	—
551	C₂²⋊C₄	—	2	2	no	—
552	C₂²⋊C₄	—	2	2	no	—
553	C₂²⋊C₄	—	2	2	no	—
554	C₂²⋊C₄	—	2	2	no	—
555	C₂²⋊C₄	—	2	2	no	—
556	C₂²⋊C₄	—	2	2	no	—
557	C₂²⋊C₄	—	2	2	no	—
558	C₂²⋊C₄	—	2	2	no	—
559	C₂²⋊C₄	—	2	2	no	—
560	C₂²⋊C₄	—	2	2	no	—
561	C₂²⋊C₄	—	2	2	no	—
562	C₂²⋊C₄	—	2	2	no	—
563	C₂²⋊C₄	—	2	2	no	—
564	C₂²⋊C₄	—	2	2	no	—
565	C₂²⋊C₄	—	2	2	no	—
566	C₂²⋊C₄	—	2	2	no	—
567	C₂²⋊C₄	—	2	2	no	—
568	C₂²⋊C₄	—	2	2	no	—
569	C₂²⋊C₄	—	2	2	no	—
570	C₂²⋊C₄	—	2	2	no	—
571	C₂²⋊C₄	—	2	2	no	—
572	C₂²⋊C₄	—	2	2	no	—
573	C₂²⋊C₄	—	2	2	no	—
574	C₂²⋊C₄	—	2	2	no	—
575	C₂²⋊C₄	—	2	2	no	—
576	C₂²⋊C₄	—	2	2	no	—
577	C₂²⋊C₄	—	4	1	no	—
578	C₂²⋊C₄	—	4	1	no	—
579	C₂²⋊C₄	—	4	1	no	—
580	C₂²⋊C₄	—	4	1	no	—
581	C₂²⋊C₄	—	4	1	no	—
582	C₂²⋊C₄	—	4	1	no	—
583	C₂²⋊C₄	—	4	1	no	—
584	C₂²⋊C₄	—	4	1	no	—
585	C₂²⋊C₄	—	4	1	no	—
586	C₂²⋊C₄	—	4	1	no	—
587	C₂²⋊C₄	—	4	1	no	—
588	C₂²⋊C₄	—	4	1	no	—
589	C₂²⋊C₄	—	4	1	no	—
590	C₂²⋊C₄	—	4	1	no	—
591	C₂²⋊C₄	—	4	1	no	—
592	C₂²⋊C₄	—	4	1	no	—
593	C₂²⋊C₄	—	4	1	no	—
594	C₂²⋊C₄	—	4	1	no	—
595	C₂²⋊C₄	—	4	1	no	—
596	C₂²⋊C₄	—	4	1	no	—
597	C₂²⋊C₄	—	4	1	no	—
598	C₂²⋊C₄	—	4	1	no	—
599	C₂²⋊C₄	—	4	1	no	—
600	C₂²⋊C₄	C₂×D₄	1	4	yes	—
601	C₂²⋊C₄	C₂×D₄	1	4	yes	—
602	C₂²⋊C₄	C₂×D₄	1	4	yes	—
603	C₂²⋊C₄	C₂×D₄	1	4	yes	—
604	C₄²	—	2	2	no	—
605	C₄²	—	2	2	no	—
606	C₄²	—	2	2	no	—
607	C₄²	—	2	2	no	—
608	C₄²	—	4	1	no	—
609	C₄²	—	4	1	no	—
610	C₄²	—	4	1	no	—
611	C₄²	—	4	1	no	—
612	C₄²	—	4	1	no	—
613	C₄²	C₂×D₄	1	4	yes	—
614	C₂³	—	2	1	no	—
615	C₂³	—	2	1	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	1	no	—
619	C₂³	—	2	1	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	1	no	—
639	C₂³	—	2	1	no	—
640	C₂³	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	2	1	no	—
653	C₂³	—	2	1	no	—
654	C₂³	—	2	1	no	—
655	C₂³	—	2	1	no	—
656	C₂³	—	2	1	no	—
657	C₂³	—	2	1	no	—
658	C₂³	—	2	1	no	—
659	C₂³	—	4	4	no	—
660	C₂³	—	4	4	no	—
661	C₂³	—	8	2	no	—
662	C₂³	—	8	2	no	—
663	C₂³	—	8	2	no	—
664	C₂³	—	8	2	no	—
665	C₂³	—	8	2	no	—
666	C₂³	C₂²×D₄	1	2	yes	—
667	C₂³	C₂²×D₄	1	2	yes	—
668	C₂³	C₂×#41	1	2	yes	—
669	C₂³	C₂×#41	1	2	yes	—
670	C₂³	C₂⁵	1	1	yes	characteristic
671	Q₈	—	2	8	no	—
672	Q₈	—	4	4	no	—
673	Q₈	—	4	4	no	—
674	Q₈	—	4	4	no	—
675	D₄	—	4	4	no	—
676	D₄	—	4	4	no	—
677	D₄	—	4	4	no	—
678	D₄	—	4	4	no	—
679	D₄	—	4	4	no	—
680	D₄	—	4	4	no	—
681	D₄	—	4	4	no	—
682	D₄	—	4	4	no	—
683	D₄	—	4	4	no	—
684	D₄	—	8	2	no	—
685	D₄	—	8	2	no	—
686	D₄	—	8	2	no	—
687	D₄	—	8	2	no	—
688	D₄	—	8	2	no	—
689	D₄	—	8	2	no	—
690	D₄	—	8	2	no	—
691	D₄	—	8	2	no	—
692	D₄	—	8	2	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	1	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	1	no	—
704	C₂×C₄	—	2	1	no	—
705	C₂×C₄	—	2	1	no	—
706	C₂×C₄	—	2	1	no	—
707	C₂×C₄	—	2	1	no	—
708	C₂×C₄	—	2	1	no	—
709	C₂×C₄	—	2	1	no	—
710	C₂×C₄	—	2	1	no	—
711	C₂×C₄	—	2	1	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	1	no	—
714	C₂×C₄	—	2	1	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	2	1	no	—
723	C₂×C₄	—	2	1	no	—
724	C₂×C₄	—	2	1	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	1	no	—
730	C₂×C₄	—	2	1	no	—
731	C₂×C₄	—	2	1	no	—
732	C₂×C₄	—	2	1	no	—
733	C₂×C₄	—	2	1	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	2	1	no	—
736	C₂×C₄	—	2	1	no	—
737	C₂×C₄	—	2	1	no	—
738	C₂×C₄	—	2	1	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	2	1	no	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	1	no	—
744	C₂×C₄	—	2	1	no	—
745	C₂×C₄	—	2	1	no	—
746	C₂×C₄	—	2	1	no	—
747	C₂×C₄	—	2	1	no	—
748	C₂×C₄	—	2	1	no	—
749	C₂×C₄	—	2	1	no	—
750	C₂×C₄	—	2	1	no	—
751	C₂×C₄	—	2	1	no	—
752	C₂×C₄	—	2	1	no	—
753	C₂×C₄	—	2	1	no	—
754	C₂×C₄	—	2	1	no	—
755	C₂×C₄	—	2	1	no	—
756	C₂×C₄	—	2	1	no	—
757	C₂×C₄	—	4	4	no	—
758	C₂×C₄	—	4	4	no	—
759	C₂×C₄	—	4	4	no	—
760	C₂×C₄	—	4	4	no	—
761	C₂×C₄	—	4	4	no	—
762	C₂×C₄	—	4	4	no	—
763	C₂×C₄	—	8	2	no	—
764	C₂×C₄	—	8	2	no	—
765	C₂×C₄	—	8	2	no	—
766	C₂×C₄	—	8	2	no	—
767	C₂×C₄	—	8	2	no	—
768	C₂×C₄	—	8	2	no	—
769	C₂×C₄	C₂²×D₄	1	2	yes	—
770	C₂×C₄	C₂²×D₄	1	2	yes	—
771	C₂×C₄	C₂²×D₄	1	2	yes	—
772	C₂×C₄	C₂²×D₄	1	2	yes	—
773	C₂×C₄	C₂²×D₄	1	2	yes	—
774	C₂×C₄	C₂×#41	1	2	yes	—
775	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
776	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
777	C₂²	—	2	2	no	—
778	C₂²	—	2	2	no	—
779	C₂²	—	2	2	no	—
780	C₂²	—	2	2	no	—
781	C₂²	—	2	2	no	—
782	C₂²	—	2	2	no	—
783	C₂²	—	2	2	no	—
784	C₂²	—	2	2	no	—
785	C₂²	—	2	2	no	—
786	C₂²	—	2	2	no	—
787	C₂²	—	2	2	no	—
788	C₂²	—	2	2	no	—
789	C₂²	—	4	1	no	—
790	C₂²	—	4	1	no	—
791	C₂²	—	4	1	no	—
792	C₂²	—	4	1	no	—
793	C₂²	—	4	1	no	—
794	C₂²	—	4	1	no	—
795	C₂²	—	4	1	no	—
796	C₂²	—	4	1	no	—
797	C₂²	—	4	1	no	—
798	C₂²	—	4	1	no	—
799	C₂²	—	4	1	no	—
800	C₂²	—	4	1	no	—
801	C₂²	—	4	1	no	—
802	C₂²	—	4	1	no	—
803	C₂²	—	4	1	no	—
804	C₂²	—	4	1	no	—
805	C₂²	—	4	1	no	—
806	C₂²	—	4	1	no	—
807	C₂²	—	4	1	no	—
808	C₂²	—	4	1	no	—
809	C₂²	—	4	1	no	—
810	C₂²	—	4	1	no	—
811	C₂²	—	4	1	no	—
812	C₂²	—	4	1	no	—
813	C₂²	—	4	1	no	—
814	C₂²	—	4	1	no	—
815	C₂²	—	4	1	no	—
816	C₂²	—	4	1	no	—
817	C₂²	—	4	1	no	—
818	C₂²	—	4	1	no	—
819	C₂²	—	4	1	no	—
820	C₂²	—	4	1	no	—
821	C₂²	—	4	1	no	—
822	C₂²	—	4	1	no	—
823	C₂²	—	4	1	no	—
824	C₂²	—	4	1	no	—
825	C₂²	—	4	1	no	—
826	C₂²	—	8	8	no	—
827	C₂²	C₂³×D₄	1	1	yes	characteristic
828	C₂²	C₂²×#41	1	1	yes	characteristic
829	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
830	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
831	C₂²	#585	1	1	yes	characteristic
832	C₂²	#585	1	1	yes	characteristic
833	C₂²	#585	1	1	yes	characteristic
834	C₄	—	2	2	no	—
835	C₄	—	2	2	no	—
836	C₄	—	2	2	no	—
837	C₄	—	2	2	no	—
838	C₄	—	2	2	no	—
839	C₄	—	2	2	no	—
840	C₄	—	2	2	no	—
841	C₄	—	2	2	no	—
842	C₄	—	4	1	no	—
843	C₄	—	4	1	no	—
844	C₄	—	4	1	no	—
845	C₄	—	4	1	no	—
846	C₄	—	4	1	no	—
847	C₄	—	4	1	no	—
848	C₄	—	4	1	no	—
849	C₄	—	4	1	no	—
850	C₄	—	4	1	no	—
851	C₄	—	4	1	no	—
852	C₄	—	4	1	no	—
853	C₄	—	4	1	no	—
854	C₄	—	4	1	no	—
855	C₄	—	4	1	no	—
856	C₄	—	4	1	no	—
857	C₄	—	4	1	no	—
858	C₂	—	4	2	no	—
859	C₂	—	4	2	no	—
860	C₂	—	4	2	no	—
861	C₂	—	4	2	no	—
862	C₂	—	8	1	no	—
863	C₂	—	8	1	no	—
864	C₂	—	8	1	no	—
865	C₂	D₄×#41	1	1	yes	characteristic
866	C₂	#3484	1	1	yes	characteristic
867	C₂	#3500	1	1	yes	characteristic
868	C₂	#3505	1	1	yes	characteristic
869	C₂	#3514	1	1	yes	characteristic
870	C₂	#3551	1	1	yes	characteristic
871	C₂	#3562	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#548	C₂	semidirect
2. C₂×#538	C₂	semidirect
3. #2730	C₂	semidirect
4. #2728	C₂	semidirect
5. #2703	C₂	semidirect
6. #2698	C₂	semidirect
7. #2688	C₂	semidirect
8. #2681	C₂	semidirect
9. #2669	C₂	semidirect
10. #2668	C₂	semidirect
11. #2604	C₂	semidirect
12. #2603	C₂	semidirect
13. #2559	C₂	semidirect
14. #2557	C₂	semidirect
15. #2555	C₂	semidirect
16. #2488	C₂	semidirect
17. #2472	C₂	semidirect
18. #2472	C₂	semidirect
19. #2464	C₂	semidirect
20. #2459	C₂	semidirect
21. #2457	C₂	semidirect
22. #2436	C₂	semidirect
23. #2430	C₂	semidirect
24. #2428	C₂	semidirect
25. #2409	C₂	semidirect
26. #2404	C₂	semidirect
27. #2398	C₂	semidirect
28. #2372	C₂	semidirect
29. #2364	C₂	semidirect
30. #2358	C₂	semidirect
31. #2328	C₂	semidirect
33. C₂³×Q₈	C₂²	semidirect
43. C₂×#124	C₂²	semidirect
46. C₂×#123	C₂²	semidirect
50. C₂×C₂²⋊Q₈	C₂²	semidirect
51. C₂×C₂²⋊Q₈	C₂²	semidirect
59. C₂×#121	C₂²	semidirect
60. C₂×#121	C₂²	semidirect
65. C₂×C₄×Q₈	C₂²	semidirect
70. C₂×C₄×D₄	C₂²	semidirect
71. C₂×C₄×D₄	C₂²	semidirect
74. #400	C₂²	semidirect
75. #400	C₂²	semidirect
76. #400	C₂²	semidirect
77. #400	C₂²	semidirect
79. #398	C₂²	semidirect
80. #398	C₂²	semidirect
85. #397	C₂²	semidirect
86. #397	C₂²	semidirect
87. #396	C₂²	semidirect
88. #395	C₂²	semidirect
89. #395	C₂²	semidirect
98. #394	C₂²	semidirect
99. #394	C₂²	semidirect
104. #393	C₂²	semidirect
105. #393	C₂²	semidirect
113. #392	C₂²	semidirect
114. #391	C₂²	semidirect
115. #391	C₂²	semidirect
116. #391	C₂²	semidirect
117. #391	C₂²	semidirect
121. #390	C₂²	semidirect
122. #390	C₂²	semidirect
123. #389	C₂²	semidirect
124. #389	C₂²	semidirect
133. #388	C₂²	semidirect
134. #388	C₂²	semidirect
135. #388	C₂²	semidirect
136. #388	C₂²	semidirect
137. #388	C₂²	semidirect
138. #388	C₂²	semidirect
139. #387	C₂²	semidirect
140. #387	C₂²	semidirect
141. #387	C₂²	semidirect
160. #386	C₂²	semidirect
161. #386	C₂²	semidirect
162. #386	C₂²	semidirect
163. #386	C₂²	semidirect
164. #386	C₂²	semidirect
165. #386	C₂²	semidirect
166. #386	C₂²	semidirect
169. #385	C₂²	semidirect
170. #385	C₂²	semidirect
171. #385	C₂²	semidirect
172. #382	C₂²	semidirect
174. #381	C₂²	semidirect
175. #380	C₂²	semidirect
181. C₄×C₂²⋊C₄	C₂²	semidirect
182. C₄×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₂²⋊C₄	C₂²	semidirect
184. C₄×C₂²⋊C₄	C₂²	semidirect
185. C₄×C₂²⋊C₄	C₂²	semidirect
186. #376	C₂²	semidirect
187. #376	C₂²	semidirect
188. C₂×#95	C₂²	semidirect
237. #124	D₄	semidirect
469. C₂×D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
C₂×#548	2
C₂×#538	2
#2730	2
#2728	2
#2703	2
#2698	2
#2688	2
#2681	2
#2669	2
#2668	2
#2604	2
#2603	2
#2559	2
#2557	2
#2555	2
#2488	2
#2472	2
#2464	2
#2459	2
#2457	2
#2436	2
#2430	2
#2428	2
#2409	2
#2404	2
#2398	2
#2372	2
#2364	2
#2358	2
#2328	2