Subgroups — #40508

Order 256.

1371 conjugacy classes of subgroups.

The subgroup lattice has 917 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#534	C₂	1	1	yes	maximal, characteristic, complemented
3	#2814	C₂	1	1	yes	maximal, characteristic, complemented
4	#2812	C₂	1	1	yes	maximal, characteristic, complemented
5	#2701	C₂	1	1	yes	maximal, characteristic, complemented
6	#2701	C₂	1	1	yes	maximal, characteristic, complemented
7	#2699	C₂	1	1	yes	maximal, characteristic, complemented
8	#2688	C₂	1	1	yes	maximal, characteristic, complemented
9	#2686	C₂	1	1	yes	maximal, characteristic, complemented
10	#2686	C₂	1	1	yes	maximal, characteristic, complemented
11	#2682	C₂	1	1	yes	maximal, characteristic, complemented
12	#2671	C₂	1	1	yes	maximal, characteristic, complemented
13	#2663	C₂	1	1	yes	maximal, characteristic, complemented
14	#2630	C₂	1	1	yes	maximal, characteristic, complemented
15	#2622	C₂	1	1	yes	maximal, characteristic, complemented
16	#2617	C₂	1	1	yes	maximal, characteristic, complemented
17	#2613	C₂	1	1	yes	maximal, characteristic, complemented
18	#2602	C₂	1	1	yes	maximal, characteristic, complemented
19	#2534	C₂	1	1	yes	maximal, characteristic, complemented
20	#2486	C₂	1	1	yes	maximal, characteristic, complemented
21	#2483	C₂	1	1	yes	maximal, characteristic, complemented
22	#2425	C₂	1	1	yes	maximal, characteristic, complemented
23	#2424	C₂	1	1	yes	maximal, characteristic, complemented
24	#2419	C₂	1	1	yes	maximal, characteristic, complemented
25	#2418	C₂	1	1	yes	maximal, characteristic, complemented
26	#2412	C₂	1	1	yes	maximal, characteristic, complemented
27	#2412	C₂	1	1	yes	maximal, characteristic, complemented
28	#2406	C₂	1	1	yes	maximal, characteristic, complemented
29	#2404	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#394	C₂	1	1	yes	maximal, characteristic, complemented
31	D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41	C₂²	1	1	yes	characteristic
33	C₂³×D₄	C₂²	1	1	yes	characteristic
34	C₂³×D₄	C₂²	1	1	yes	characteristic
35	#546	—	2	8	no	—
36	#534	—	2	8	no	—
37	C₂×#124	C₂²	1	1	yes	characteristic, complemented
38	C₂×#123	C₂²	1	1	yes	characteristic
39	C₂×#123	C₂²	1	1	yes	characteristic
40	C₂×#123	C₂²	1	1	yes	characteristic
41	C₂×#123	C₂²	1	1	yes	characteristic
42	C₂×#123	C₂²	1	1	yes	characteristic
43	C₂×#123	C₂²	1	1	yes	characteristic, complemented
44	C₂×#123	C₂²	1	1	yes	characteristic, complemented
45	C₂×#123	C₂²	1	1	yes	characteristic, complemented
46	C₂×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₂×#121	C₂²	1	1	yes	characteristic
49	C₂×#121	C₂²	1	1	yes	characteristic
50	C₂×#121	C₂²	1	1	yes	characteristic
51	C₂×#121	C₂²	1	1	yes	characteristic
52	C₂×#121	C₂²	1	1	yes	characteristic
53	C₂×#121	C₂²	1	1	yes	characteristic, complemented
54	C₂×#121	C₂²	1	1	yes	characteristic, complemented
55	C₂×#121	C₂²	1	1	yes	characteristic, complemented
56	C₂×#120	C₂²	1	1	yes	characteristic
57	C₂×#120	C₂²	1	1	yes	characteristic
58	C₂×#120	C₂²	1	1	yes	characteristic
59	C₂×#120	C₂²	1	1	yes	characteristic
60	C₂×#120	C₂²	1	1	yes	characteristic
61	C₂×#120	C₂²	1	1	yes	characteristic, complemented
62	C₂×#120	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
65	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
66	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
67	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
69	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
74	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
75	#400	C₂²	1	1	yes	characteristic, complemented
76	#399	C₂²	1	1	yes	characteristic, complemented
77	#398	C₂²	1	1	yes	characteristic, complemented
78	#398	C₂²	1	1	yes	characteristic, complemented
79	#398	C₂²	1	1	yes	characteristic, complemented
80	#398	C₂²	1	1	yes	characteristic, complemented
81	#397	C₂²	1	1	yes	characteristic, complemented
82	#397	C₂²	1	1	yes	characteristic, complemented
83	#397	C₂²	1	1	yes	characteristic, complemented
84	#397	C₂²	1	1	yes	characteristic, complemented
85	#397	C₂²	1	1	yes	characteristic, complemented
86	#397	C₂²	1	1	yes	characteristic, complemented
87	#397	C₂²	1	1	yes	characteristic, complemented
88	#397	C₂²	1	1	yes	characteristic, complemented
89	#397	C₂²	1	1	yes	characteristic, complemented
90	#397	C₂²	1	1	yes	characteristic, complemented
91	#397	C₂²	1	1	yes	characteristic, complemented
92	#397	C₂²	1	1	yes	characteristic, complemented
93	#396	C₂²	1	1	yes	characteristic, complemented
94	#396	C₂²	1	1	yes	characteristic, complemented
95	#396	C₂²	1	1	yes	characteristic, complemented
96	#396	C₂²	1	1	yes	characteristic, complemented
97	#395	C₂²	1	1	yes	characteristic, complemented
98	#395	C₂²	1	1	yes	characteristic, complemented
99	#394	C₂²	1	1	yes	characteristic
100	#394	C₂²	1	1	yes	characteristic
101	#394	C₂²	1	1	yes	characteristic
102	#394	C₂²	1	1	yes	characteristic
103	#394	C₂²	1	1	yes	characteristic
104	#394	C₂²	1	1	yes	characteristic
105	#394	C₂²	1	1	yes	characteristic, complemented
106	#394	C₂²	1	1	yes	characteristic, complemented
107	#394	C₂²	1	1	yes	characteristic, complemented
108	#394	C₂²	1	1	yes	characteristic, complemented
109	#394	C₂²	1	1	yes	characteristic, complemented
110	#394	C₂²	1	1	yes	characteristic, complemented
111	#394	C₂²	1	1	yes	characteristic, complemented
112	#394	C₂²	1	1	yes	characteristic, complemented
113	#394	C₂²	1	1	yes	characteristic, complemented
114	#394	C₂²	1	1	yes	characteristic, complemented
115	#394	C₂²	1	1	yes	characteristic, complemented
116	#394	C₂²	1	1	yes	characteristic, complemented
117	#394	C₂²	1	1	yes	characteristic, complemented
118	#394	C₂²	1	1	yes	characteristic, complemented
119	#394	C₂²	1	1	yes	characteristic, complemented
120	#394	C₂²	1	1	yes	characteristic, complemented
121	#394	C₂²	1	1	yes	characteristic, complemented
122	#393	C₂²	1	1	yes	characteristic, complemented
123	#393	C₂²	1	1	yes	characteristic, complemented
124	#392	C₂²	1	1	yes	characteristic
125	#392	C₂²	1	1	yes	characteristic
126	#392	C₂²	1	1	yes	characteristic, complemented
127	#392	C₂²	1	1	yes	characteristic, complemented
128	#392	C₂²	1	1	yes	characteristic, complemented
129	#392	C₂²	1	1	yes	characteristic, complemented
130	#392	C₂²	1	1	yes	characteristic, complemented
131	#390	C₂²	1	1	yes	characteristic, complemented
132	#390	C₂²	1	1	yes	characteristic, complemented
133	#390	C₂²	1	1	yes	characteristic, complemented
134	#389	C₂²	1	1	yes	characteristic, complemented
135	#389	C₂²	1	1	yes	characteristic, complemented
136	#389	C₂²	1	1	yes	characteristic, complemented
137	#388	C₂²	1	1	yes	characteristic, complemented
138	#388	C₂²	1	1	yes	characteristic, complemented
139	#388	C₂²	1	1	yes	characteristic, complemented
140	#388	C₂²	1	1	yes	characteristic, complemented
141	#388	C₂²	1	1	yes	characteristic, complemented
142	#388	C₂²	1	1	yes	characteristic, complemented
143	#387	C₂²	1	1	yes	characteristic, complemented
144	#387	C₂²	1	1	yes	characteristic, complemented
145	#386	C₂²	1	1	yes	characteristic
146	#386	C₂²	1	1	yes	characteristic
147	#386	C₂²	1	1	yes	characteristic, complemented
148	#386	C₂²	1	1	yes	characteristic, complemented
149	#386	C₂²	1	1	yes	characteristic, complemented
150	#386	C₂²	1	1	yes	characteristic, complemented
151	#386	C₂²	1	1	yes	characteristic, complemented
152	#386	C₂²	1	1	yes	characteristic, complemented
153	#386	C₂²	1	1	yes	characteristic, complemented
154	#386	C₂²	1	1	yes	characteristic, complemented
155	#386	C₂²	1	1	yes	characteristic, complemented
156	#386	C₂²	1	1	yes	characteristic, complemented
157	#386	C₂²	1	1	yes	characteristic, complemented
158	#386	C₂²	1	1	yes	characteristic, complemented
159	#386	C₂²	1	1	yes	characteristic, complemented
160	#386	C₂²	1	1	yes	characteristic, complemented
161	#385	C₂²	1	1	yes	characteristic, complemented
162	#385	C₂²	1	1	yes	characteristic, complemented
163	#385	C₂²	1	1	yes	characteristic, complemented
164	#385	C₂²	1	1	yes	characteristic, complemented
165	#385	C₂²	1	1	yes	characteristic, complemented
166	#385	C₂²	1	1	yes	characteristic, complemented
167	#385	C₂²	1	1	yes	characteristic, complemented
168	#385	C₂²	1	1	yes	characteristic, complemented
169	#385	C₂²	1	1	yes	characteristic, complemented
170	#385	C₂²	1	1	yes	characteristic, complemented
171	#381	C₂²	1	1	yes	characteristic, complemented
172	#381	C₂²	1	1	yes	characteristic, complemented
173	#381	C₂²	1	1	yes	characteristic, complemented
174	#381	C₂²	1	1	yes	characteristic, complemented
175	#381	C₂²	1	1	yes	characteristic, complemented
176	#381	C₂²	1	1	yes	characteristic, complemented
177	#381	C₂²	1	1	yes	characteristic, complemented
178	#380	C₂²	1	1	yes	characteristic, complemented
179	#380	C₂²	1	1	yes	characteristic, complemented
180	#380	C₂²	1	1	yes	characteristic, complemented
181	#380	C₂²	1	1	yes	characteristic, complemented
182	#380	C₂²	1	1	yes	characteristic, complemented
183	#380	C₂²	1	1	yes	characteristic, complemented
184	#379	C₂²	1	1	yes	characteristic
185	#379	C₂²	1	1	yes	characteristic, complemented
186	#379	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₂×#95	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵	C₂³	1	1	yes	characteristic
190	C₂⁵	C₂³	1	1	yes	characteristic
191	C₂⁵	C₂³	1	1	yes	characteristic
192	C₂×#41	—	2	4	no	—
193	C₂×#41	—	4	2	no	—
194	C₂×#41	—	4	2	no	—
195	C₂²×Q₈	C₂³	1	1	yes	characteristic
196	C₂²×D₄	—	2	4	no	—
197	C₂²×D₄	—	4	2	no	—
198	C₂²×D₄	—	4	2	no	—
199	C₂²×D₄	—	4	2	no	—
200	C₂²×D₄	—	4	2	no	—
201	C₂²×D₄	D₄	1	8	yes	complemented
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	C₂²×D₄	C₂³	1	1	yes	characteristic
219	C₂²×D₄	C₂³	1	1	yes	characteristic
220	C₂²×D₄	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	C₂³×C₄	C₂³	1	1	yes	characteristic
231	C₂³×C₄	C₂³	1	1	yes	characteristic
232	C₂³×C₄	C₂³	1	1	yes	characteristic
233	C₂³×C₄	C₂³	1	1	yes	characteristic
234	#124	—	2	4	no	—
235	#123	—	2	4	no	—
236	#123	—	2	4	no	—
237	#123	—	2	4	no	—
238	#123	—	2	4	no	—
239	#123	—	2	4	no	—
240	#123	—	2	4	no	—
241	#123	—	4	2	no	—
242	#123	—	4	2	no	—
243	#123	—	4	2	no	—
244	C₂²⋊Q₈	—	2	4	no	—
245	#121	—	2	4	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	—	4	2	no	—
253	#120	—	2	4	no	—
254	#120	—	2	4	no	—
255	#120	—	2	4	no	—
256	#120	—	2	4	no	—
257	#120	—	2	4	no	—
258	#120	—	2	4	no	—
259	#120	—	4	2	no	—
260	C₄×D₄	—	2	4	no	—
261	C₄×D₄	—	2	4	no	—
262	C₄×D₄	—	4	2	no	—
263	C₄×D₄	—	4	2	no	—
264	C₂×C₄⋊C₄	—	4	2	no	—
265	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄	—	2	4	no	—
290	C₂×C₂²⋊C₄	—	2	4	no	—
291	C₂×C₂²⋊C₄	—	2	4	no	—
292	C₂×C₂²⋊C₄	—	4	2	no	—
293	C₂×C₂²⋊C₄	—	4	2	no	—
294	C₂×C₂²⋊C₄	—	4	2	no	—
295	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂×C₄²	C₂³	1	1	yes	characteristic
357	C₂×C₄²	C₂³	1	1	yes	characteristic
358	C₂×C₄²	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	#95	C₂³	1	1	yes	characteristic
389	#95	C₂³	1	1	yes	characteristic
390	#95	C₂³	1	1	yes	characteristic
391	C₂⁴	—	2	2	no	—
392	C₂⁴	—	2	2	no	—
393	C₂⁴	—	2	2	no	—
394	C₂⁴	—	2	2	no	—
395	C₂⁴	—	2	2	no	—
396	C₂⁴	—	4	1	no	—
397	C₂⁴	—	4	1	no	—
398	C₂⁴	—	4	1	no	—
399	C₂⁴	—	4	1	no	—
400	C₂⁴	—	4	1	no	—
401	C₂⁴	—	4	1	no	—
402	C₂⁴	—	4	1	no	—
403	C₂⁴	—	4	1	no	—
404	C₂⁴	—	4	1	no	—
405	C₂⁴	—	4	1	no	—
406	C₂⁴	—	4	1	no	—
407	C₂⁴	—	4	1	no	—
408	C₂⁴	—	4	1	no	—
409	C₂⁴	—	4	1	no	—
410	C₂⁴	C₂×D₄	1	4	yes	—
411	C₂⁴	C₂×D₄	1	4	yes	—
412	C₂⁴	C₂⁴	1	1	yes	characteristic
413	C₂⁴	C₂⁴	1	1	yes	characteristic
414	C₂⁴	C₂⁴	1	1	yes	characteristic
415	C₂⁴	C₂⁴	1	1	yes	characteristic
416	C₂⁴	C₂⁴	1	1	yes	characteristic
417	C₂⁴	C₂⁴	1	1	yes	characteristic
418	C₂⁴	C₂⁴	1	1	yes	characteristic
419	C₂⁴	C₂⁴	1	1	yes	characteristic
420	#41	—	4	16	no	—
421	C₂×Q₈	—	2	2	no	—
422	C₂×Q₈	—	4	1	no	—
423	C₂×Q₈	—	4	1	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	—	2	2	no	—
439	C₂×D₄	—	2	2	no	—
440	C₂×D₄	—	2	2	no	—
441	C₂×D₄	—	2	2	no	—
442	C₂×D₄	—	2	2	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	—	4	1	no	—
469	C₂×D₄	—	4	1	no	—
470	C₂×D₄	—	4	1	no	—
471	C₂×D₄	—	4	1	no	—
472	C₂×D₄	—	4	1	no	—
473	C₂×D₄	—	4	1	no	—
474	C₂×D₄	—	4	1	no	—
475	C₂×D₄	—	4	1	no	—
476	C₂×D₄	—	4	1	no	—
477	C₂×D₄	—	4	16	no	—
478	C₂×D₄	—	4	16	no	—
479	C₂×D₄	C₂×D₄	1	4	yes	—
480	C₂×D₄	C₂×D₄	1	4	yes	—
481	C₂×D₄	C₂×D₄	1	4	yes	—
482	C₂×D₄	C₂×D₄	1	4	yes	—
483	C₂²×C₄	—	2	2	no	—
484	C₂²×C₄	—	2	2	no	—
485	C₂²×C₄	—	2	2	no	—
486	C₂²×C₄	—	2	2	no	—
487	C₂²×C₄	—	2	2	no	—
488	C₂²×C₄	—	2	2	no	—
489	C₂²×C₄	—	2	2	no	—
490	C₂²×C₄	—	2	2	no	—
491	C₂²×C₄	—	2	2	no	—
492	C₂²×C₄	—	2	2	no	—
493	C₂²×C₄	—	2	2	no	—
494	C₂²×C₄	—	2	2	no	—
495	C₂²×C₄	—	2	2	no	—
496	C₂²×C₄	—	2	2	no	—
497	C₂²×C₄	—	2	2	no	—
498	C₂²×C₄	—	2	2	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	—	4	1	no	—
507	C₂²×C₄	—	4	1	no	—
508	C₂²×C₄	—	4	1	no	—
509	C₂²×C₄	—	4	1	no	—
510	C₂²×C₄	—	4	1	no	—
511	C₂²×C₄	—	4	1	no	—
512	C₂²×C₄	—	4	1	no	—
513	C₂²×C₄	—	4	1	no	—
514	C₂²×C₄	—	4	1	no	—
515	C₂²×C₄	—	4	1	no	—
516	C₂²×C₄	—	4	1	no	—
517	C₂²×C₄	—	4	1	no	—
518	C₂²×C₄	—	4	1	no	—
519	C₂²×C₄	—	4	1	no	—
520	C₂²×C₄	—	4	1	no	—
521	C₂²×C₄	C₂×D₄	1	4	yes	—
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	C₂²×C₄	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄	C₂⁴	1	1	yes	characteristic
545	C₄⋊C₄	—	2	2	no	—
546	C₄⋊C₄	—	2	2	no	—
547	C₄⋊C₄	—	2	2	no	—
548	C₄⋊C₄	—	2	2	no	—
549	C₄⋊C₄	—	2	2	no	—
550	C₄⋊C₄	—	2	2	no	—
551	C₄⋊C₄	—	2	2	no	—
552	C₄⋊C₄	—	2	2	no	—
553	C₄⋊C₄	—	2	2	no	—
554	C₄⋊C₄	—	4	1	no	—
555	C₄⋊C₄	—	4	1	no	—
556	C₄⋊C₄	—	4	1	no	—
557	C₄⋊C₄	—	4	1	no	—
558	C₄⋊C₄	—	4	1	no	—
559	C₄⋊C₄	—	4	1	no	—
560	C₄⋊C₄	—	4	1	no	—
561	C₄⋊C₄	—	4	1	no	—
562	C₄⋊C₄	—	4	1	no	—
563	C₄⋊C₄	—	4	1	no	—
564	C₄⋊C₄	—	4	1	no	—
565	C₄⋊C₄	—	4	1	no	—
566	C₄⋊C₄	—	4	1	no	—
567	C₄⋊C₄	—	4	1	no	—
568	C₄⋊C₄	—	4	1	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	—	2	2	no	—
578	C₂²⋊C₄	—	2	2	no	—
579	C₂²⋊C₄	—	2	2	no	—
580	C₂²⋊C₄	—	2	2	no	—
581	C₂²⋊C₄	—	2	2	no	—
582	C₂²⋊C₄	—	2	2	no	—
583	C₂²⋊C₄	—	2	2	no	—
584	C₂²⋊C₄	—	2	2	no	—
585	C₂²⋊C₄	—	2	2	no	—
586	C₂²⋊C₄	—	2	2	no	—
587	C₂²⋊C₄	—	2	2	no	—
588	C₂²⋊C₄	—	2	2	no	—
589	C₂²⋊C₄	—	2	2	no	—
590	C₂²⋊C₄	—	2	2	no	—
591	C₂²⋊C₄	—	2	2	no	—
592	C₂²⋊C₄	—	2	2	no	—
593	C₂²⋊C₄	—	2	2	no	—
594	C₂²⋊C₄	—	2	2	no	—
595	C₂²⋊C₄	—	2	2	no	—
596	C₂²⋊C₄	—	2	2	no	—
597	C₂²⋊C₄	—	2	2	no	—
598	C₂²⋊C₄	—	2	2	no	—
599	C₂²⋊C₄	—	2	2	no	—
600	C₂²⋊C₄	—	2	2	no	—
601	C₂²⋊C₄	—	4	1	no	—
602	C₂²⋊C₄	—	4	1	no	—
603	C₂²⋊C₄	—	4	1	no	—
604	C₂²⋊C₄	—	4	1	no	—
605	C₂²⋊C₄	—	4	1	no	—
606	C₂²⋊C₄	—	4	1	no	—
607	C₂²⋊C₄	—	4	1	no	—
608	C₂²⋊C₄	—	4	1	no	—
609	C₂²⋊C₄	—	4	1	no	—
610	C₂²⋊C₄	—	4	1	no	—
611	C₂²⋊C₄	—	4	1	no	—
612	C₂²⋊C₄	—	4	1	no	—
613	C₂²⋊C₄	—	4	1	no	—
614	C₂²⋊C₄	—	4	1	no	—
615	C₂²⋊C₄	—	4	1	no	—
616	C₂²⋊C₄	—	4	1	no	—
617	C₂²⋊C₄	—	4	1	no	—
618	C₂²⋊C₄	—	4	1	no	—
619	C₂²⋊C₄	—	4	1	no	—
620	C₂²⋊C₄	—	4	1	no	—
621	C₂²⋊C₄	—	4	1	no	—
622	C₂²⋊C₄	—	4	1	no	—
623	C₂²⋊C₄	—	4	1	no	—
624	C₂²⋊C₄	—	4	1	no	—
625	C₂²⋊C₄	—	4	1	no	—
626	C₂²⋊C₄	—	4	1	no	—
627	C₂²⋊C₄	—	4	1	no	—
628	C₂²⋊C₄	—	4	1	no	—
629	C₄²	—	2	2	no	—
630	C₄²	—	4	1	no	—
631	C₄²	—	4	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	—	2	1	no	—
660	C₂³	—	2	8	no	—
661	C₂³	—	2	1	no	—
662	C₂³	—	2	1	no	—
663	C₂³	—	2	1	no	—
664	C₂³	—	2	1	no	—
665	C₂³	—	2	1	no	—
666	C₂³	—	2	1	no	—
667	C₂³	—	2	1	no	—
668	C₂³	—	2	1	no	—
669	C₂³	—	2	1	no	—
670	C₂³	—	2	1	no	—
671	C₂³	—	2	1	no	—
672	C₂³	—	2	1	no	—
673	C₂³	—	2	1	no	—
674	C₂³	—	2	1	no	—
675	C₂³	—	2	1	no	—
676	C₂³	—	2	1	no	—
677	C₂³	—	2	1	no	—
678	C₂³	—	2	1	no	—
679	C₂³	—	2	1	no	—
680	C₂³	—	2	1	no	—
681	C₂³	—	2	1	no	—
682	C₂³	—	4	4	no	—
683	C₂³	—	4	4	no	—
684	C₂³	—	4	4	no	—
685	C₂³	—	4	4	no	—
686	C₂³	—	4	4	no	—
687	C₂³	—	4	4	no	—
688	C₂³	—	4	4	no	—
689	C₂³	—	4	4	no	—
690	C₂³	—	8	2	no	—
691	C₂³	—	8	2	no	—
692	C₂³	—	8	2	no	—
693	C₂³	—	8	2	no	—
694	C₂³	—	8	2	no	—
695	C₂³	—	8	2	no	—
696	C₂³	—	8	2	no	—
697	C₂³	—	8	2	no	—
698	C₂³	—	8	2	no	—
699	C₂³	—	8	2	no	—
700	C₂³	—	8	2	no	—
701	C₂³	—	8	2	no	—
702	C₂³	C₂²×D₄	1	2	yes	—
703	C₂³	C₂²×D₄	1	2	yes	—
704	C₂³	C₂²×D₄	1	2	yes	—
705	C₂³	C₂²×D₄	1	2	yes	—
706	C₂³	C₂²×D₄	1	2	yes	—
707	C₂³	H(5,𝔽₂)	1	2	yes	—
708	C₂³	H(5,𝔽₂)	1	2	yes	—
709	C₂³	C₂⁵	1	1	yes	characteristic
710	Q₈	—	4	4	no	—
711	D₄	—	2	8	no	—
712	D₄	—	2	8	no	—
713	D₄	—	4	4	no	—
714	D₄	—	4	4	no	—
715	D₄	—	4	4	no	—
716	D₄	—	4	4	no	—
717	D₄	—	4	4	no	—
718	D₄	—	4	4	no	—
719	D₄	—	4	4	no	—
720	D₄	—	4	4	no	—
721	D₄	—	4	4	no	—
722	D₄	—	8	2	no	—
723	D₄	—	8	2	no	—
724	D₄	—	8	2	no	—
725	D₄	—	8	2	no	—
726	D₄	—	8	2	no	—
727	D₄	—	8	2	no	—
728	D₄	—	8	2	no	—
729	D₄	—	8	2	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	—	2	1	no	—
758	C₂×C₄	—	2	1	no	—
759	C₂×C₄	—	2	1	no	—
760	C₂×C₄	—	2	1	no	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	1	no	—
763	C₂×C₄	—	2	1	no	—
764	C₂×C₄	—	2	1	no	—
765	C₂×C₄	—	2	1	no	—
766	C₂×C₄	—	2	1	no	—
767	C₂×C₄	—	2	1	no	—
768	C₂×C₄	—	2	1	no	—
769	C₂×C₄	—	2	1	no	—
770	C₂×C₄	—	2	1	no	—
771	C₂×C₄	—	2	1	no	—
772	C₂×C₄	—	2	1	no	—
773	C₂×C₄	—	2	1	no	—
774	C₂×C₄	—	2	1	no	—
775	C₂×C₄	—	2	1	no	—
776	C₂×C₄	—	2	1	no	—
777	C₂×C₄	—	2	1	no	—
778	C₂×C₄	—	2	1	no	—
779	C₂×C₄	—	2	1	no	—
780	C₂×C₄	—	2	1	no	—
781	C₂×C₄	—	2	1	no	—
782	C₂×C₄	—	2	1	no	—
783	C₂×C₄	—	2	1	no	—
784	C₂×C₄	—	2	1	no	—
785	C₂×C₄	—	2	1	no	—
786	C₂×C₄	—	2	1	no	—
787	C₂×C₄	—	2	1	no	—
788	C₂×C₄	—	2	1	no	—
789	C₂×C₄	—	2	1	no	—
790	C₂×C₄	—	2	1	no	—
791	C₂×C₄	—	2	1	no	—
792	C₂×C₄	—	2	1	no	—
793	C₂×C₄	—	2	1	no	—
794	C₂×C₄	—	2	1	no	—
795	C₂×C₄	—	2	1	no	—
796	C₂×C₄	—	4	4	no	—
797	C₂×C₄	—	4	4	no	—
798	C₂×C₄	—	4	4	no	—
799	C₂×C₄	—	4	4	no	—
800	C₂×C₄	—	4	4	no	—
801	C₂×C₄	—	4	4	no	—
802	C₂×C₄	—	8	2	no	—
803	C₂×C₄	—	8	2	no	—
804	C₂×C₄	—	8	2	no	—
805	C₂×C₄	—	8	2	no	—
806	C₂×C₄	—	8	2	no	—
807	C₂×C₄	—	8	2	no	—
808	C₂×C₄	—	8	2	no	—
809	C₂×C₄	C₂²×D₄	1	2	yes	—
810	C₂×C₄	C₂²×D₄	1	2	yes	—
811	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
812	C₂²	—	2	2	no	—
813	C₂²	—	2	2	no	—
814	C₂²	—	2	2	no	—
815	C₂²	—	2	2	no	—
816	C₂²	—	2	2	no	—
817	C₂²	—	2	2	no	—
818	C₂²	—	2	2	no	—
819	C₂²	—	2	2	no	—
820	C₂²	—	2	2	no	—
821	C₂²	—	2	2	no	—
822	C₂²	—	2	2	no	—
823	C₂²	—	2	2	no	—
824	C₂²	—	2	2	no	—
825	C₂²	—	2	2	no	—
826	C₂²	—	2	2	no	—
827	C₂²	—	2	2	no	—
828	C₂²	—	2	2	no	—
829	C₂²	—	2	2	no	—
830	C₂²	—	4	1	no	—
831	C₂²	—	4	1	no	—
832	C₂²	—	4	1	no	—
833	C₂²	—	4	1	no	—
834	C₂²	—	4	1	no	—
835	C₂²	—	4	1	no	—
836	C₂²	—	4	1	no	—
837	C₂²	—	4	1	no	—
838	C₂²	—	4	1	no	—
839	C₂²	—	4	1	no	—
840	C₂²	—	4	1	no	—
841	C₂²	—	4	1	no	—
842	C₂²	—	4	1	no	—
843	C₂²	—	4	1	no	—
844	C₂²	—	4	1	no	—
845	C₂²	—	4	1	no	—
846	C₂²	—	4	1	no	—
847	C₂²	—	4	1	no	—
848	C₂²	—	4	1	no	—
849	C₂²	—	4	1	no	—
850	C₂²	—	4	1	no	—
851	C₂²	—	4	1	no	—
852	C₂²	—	4	1	no	—
853	C₂²	—	4	1	no	—
854	C₂²	—	4	1	no	—
855	C₂²	—	4	1	no	—
856	C₂²	—	4	1	no	—
857	C₂²	—	4	1	no	—
858	C₂²	—	4	1	no	—
859	C₂²	—	4	1	no	—
860	C₂²	—	4	1	no	—
861	C₂²	—	4	1	no	—
862	C₂²	—	4	1	no	—
863	C₂²	—	4	1	no	—
864	C₂²	—	4	1	no	—
865	C₂²	—	4	1	no	—
866	C₂²	—	4	1	no	—
867	C₂²	—	8	8	no	—
868	C₂²	—	8	8	no	—
869	C₂²	—	8	8	no	—
870	C₂²	#534	1	4	yes	—
871	C₂²	C₂³×D₄	1	1	yes	characteristic
872	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
873	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
874	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
875	C₂²	#585	1	1	yes	characteristic
876	C₂²	#585	1	1	yes	characteristic
877	C₂²	#585	1	1	yes	characteristic
878	C₄	—	2	2	no	—
879	C₄	—	2	2	no	—
880	C₄	—	2	2	no	—
881	C₄	—	4	1	no	—
882	C₄	—	4	1	no	—
883	C₄	—	4	1	no	—
884	C₄	—	4	1	no	—
885	C₄	—	4	1	no	—
886	C₄	—	4	1	no	—
887	C₄	—	4	1	no	—
888	C₄	—	4	1	no	—
889	C₄	—	4	1	no	—
890	C₄	—	4	1	no	—
891	C₄	—	4	1	no	—
892	C₄	—	4	1	no	—
893	C₄	—	4	1	no	—
894	C₄	—	4	1	no	—
895	C₄	—	4	1	no	—
896	C₄	—	4	1	no	—
897	C₄	—	4	1	no	—
898	C₄	—	4	1	no	—
899	C₄	—	4	1	no	—
900	C₄	—	4	1	no	—
901	C₂	—	2	4	no	—
902	C₂	—	4	2	no	—
903	C₂	—	4	2	no	—
904	C₂	—	4	2	no	—
905	C₂	—	4	2	no	—
906	C₂	—	8	1	no	—
907	C₂	—	8	1	no	—
908	C₂	—	8	1	no	—
909	C₂	C₂×#534	1	1	yes	characteristic
910	C₂	#3485	1	1	yes	characteristic
911	C₂	#3496	1	1	yes	characteristic
912	C₂	#3533	1	1	yes	characteristic
913	C₂	#3534	1	1	yes	characteristic
914	C₂	#3542	1	1	yes	characteristic
915	C₂	#3545	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×#546	C₂	semidirect
2. C₂×#534	C₂	semidirect
3. #2814	C₂	semidirect
4. #2812	C₂	semidirect
5. #2701	C₂	semidirect
6. #2701	C₂	semidirect
7. #2699	C₂	semidirect
8. #2688	C₂	semidirect
9. #2686	C₂	semidirect
10. #2686	C₂	semidirect
11. #2682	C₂	semidirect
12. #2671	C₂	semidirect
13. #2663	C₂	semidirect
14. #2630	C₂	semidirect
15. #2622	C₂	semidirect
16. #2617	C₂	semidirect
17. #2613	C₂	semidirect
18. #2602	C₂	semidirect
19. #2534	C₂	semidirect
20. #2486	C₂	semidirect
21. #2483	C₂	semidirect
22. #2425	C₂	semidirect
23. #2424	C₂	semidirect
24. #2419	C₂	semidirect
25. #2418	C₂	semidirect
26. #2412	C₂	semidirect
27. #2412	C₂	semidirect
28. #2406	C₂	semidirect
29. #2404	C₂	semidirect
30. C₂×#394	C₂	semidirect
31. D₄×C₂²⋊C₄	C₂	semidirect
37. C₂×#124	C₂²	semidirect
43. C₂×#123	C₂²	semidirect
44. C₂×#123	C₂²	semidirect
45. C₂×#123	C₂²	semidirect
46. C₂×#123	C₂²	semidirect
47. C₂×C₂²⋊Q₈	C₂²	semidirect
53. C₂×#121	C₂²	semidirect
54. C₂×#121	C₂²	semidirect
55. C₂×#121	C₂²	semidirect
61. C₂×#120	C₂²	semidirect
62. C₂×#120	C₂²	semidirect
66. C₂×C₄×D₄	C₂²	semidirect
67. C₂²×C₄⋊C₄	C₂²	semidirect
71. C₂²×C₂²⋊C₄	C₂²	semidirect
72. C₂²×C₂²⋊C₄	C₂²	semidirect
73. C₂²×C₂²⋊C₄	C₂²	semidirect
74. C₂²×C₂²⋊C₄	C₂²	semidirect
75. #400	C₂²	semidirect
76. #399	C₂²	semidirect
77. #398	C₂²	semidirect
78. #398	C₂²	semidirect
79. #398	C₂²	semidirect
80. #398	C₂²	semidirect
81. #397	C₂²	semidirect
82. #397	C₂²	semidirect
83. #397	C₂²	semidirect
84. #397	C₂²	semidirect
85. #397	C₂²	semidirect
86. #397	C₂²	semidirect
87. #397	C₂²	semidirect
88. #397	C₂²	semidirect
89. #397	C₂²	semidirect
90. #397	C₂²	semidirect
91. #397	C₂²	semidirect
92. #397	C₂²	semidirect
93. #396	C₂²	semidirect
94. #396	C₂²	semidirect
95. #396	C₂²	semidirect
96. #396	C₂²	semidirect
97. #395	C₂²	semidirect
98. #395	C₂²	semidirect
105. #394	C₂²	semidirect
106. #394	C₂²	semidirect
107. #394	C₂²	semidirect
108. #394	C₂²	semidirect
109. #394	C₂²	semidirect
110. #394	C₂²	semidirect
111. #394	C₂²	semidirect
112. #394	C₂²	semidirect
113. #394	C₂²	semidirect
114. #394	C₂²	semidirect
115. #394	C₂²	semidirect
116. #394	C₂²	semidirect
117. #394	C₂²	semidirect
118. #394	C₂²	semidirect
119. #394	C₂²	semidirect
120. #394	C₂²	semidirect
121. #394	C₂²	semidirect
122. #393	C₂²	semidirect
123. #393	C₂²	semidirect
126. #392	C₂²	semidirect
127. #392	C₂²	semidirect
128. #392	C₂²	semidirect
129. #392	C₂²	semidirect
130. #392	C₂²	semidirect
131. #390	C₂²	semidirect
132. #390	C₂²	semidirect
133. #390	C₂²	semidirect
134. #389	C₂²	semidirect
135. #389	C₂²	semidirect
136. #389	C₂²	semidirect
137. #388	C₂²	semidirect
138. #388	C₂²	semidirect
139. #388	C₂²	semidirect
140. #388	C₂²	semidirect
141. #388	C₂²	semidirect
142. #388	C₂²	semidirect
143. #387	C₂²	semidirect
144. #387	C₂²	semidirect
147. #386	C₂²	semidirect
148. #386	C₂²	semidirect
149. #386	C₂²	semidirect
150. #386	C₂²	semidirect
151. #386	C₂²	semidirect
152. #386	C₂²	semidirect
153. #386	C₂²	semidirect
154. #386	C₂²	semidirect
155. #386	C₂²	semidirect
156. #386	C₂²	semidirect
157. #386	C₂²	semidirect
158. #386	C₂²	semidirect
159. #386	C₂²	semidirect
160. #386	C₂²	semidirect
161. #385	C₂²	semidirect
162. #385	C₂²	semidirect
163. #385	C₂²	semidirect
164. #385	C₂²	semidirect
165. #385	C₂²	semidirect
166. #385	C₂²	semidirect
167. #385	C₂²	semidirect
168. #385	C₂²	semidirect
169. #385	C₂²	semidirect
170. #385	C₂²	semidirect
171. #381	C₂²	semidirect
172. #381	C₂²	semidirect
173. #381	C₂²	semidirect
174. #381	C₂²	semidirect
175. #381	C₂²	semidirect
176. #381	C₂²	semidirect
177. #381	C₂²	semidirect
178. #380	C₂²	semidirect
179. #380	C₂²	semidirect
180. #380	C₂²	semidirect
181. #380	C₂²	semidirect
182. #380	C₂²	semidirect
183. #380	C₂²	semidirect
185. #379	C₂²	semidirect
186. #379	C₂²	semidirect
187. C₄×C₂²⋊C₄	C₂²	semidirect
188. C₂×#95	C₂²	semidirect
201. C₂²×D₄	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546	2
C₂×#534	2
#2814	2
#2812	2
#2701	2
#2699	2
#2688	2
#2686	2
#2682	2
#2671	2
#2663	2
#2630	2
#2622	2
#2617	2
#2613	2
#2602	2
#2534	2
#2486	2
#2483	2
#2425	2
#2424	2
#2419	2
#2418	2
#2412	2
#2406	2
#2404	2
C₂×#394	2
D₄×C₂²⋊C₄	2