Subgroups — #47942

Order 256.

1642 conjugacy classes of subgroups.

The subgroup lattice has 1055 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#560	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
3	#2714	C₂	1	1	yes	maximal, characteristic, complemented
4	#2703	C₂	1	1	yes	maximal, characteristic, complemented
5	#2685	C₂	1	1	yes	maximal, characteristic, complemented
6	#2679	C₂	1	1	yes	maximal, characteristic, complemented
7	#2678	C₂	1	1	yes	maximal, characteristic, complemented
8	#2673	C₂	1	1	yes	maximal, characteristic, complemented
9	#2673	C₂	1	1	yes	maximal, characteristic, complemented
10	#2669	C₂	1	1	yes	maximal, characteristic, complemented
11	#2669	C₂	1	1	yes	maximal, characteristic, complemented
12	#2669	C₂	1	1	yes	maximal, characteristic, complemented
13	#2669	C₂	1	1	yes	maximal, characteristic, complemented
14	#2668	C₂	1	1	yes	maximal, characteristic, complemented
15	#2635	C₂	1	1	yes	maximal, characteristic, complemented
16	#2613	C₂	1	1	yes	maximal, characteristic, complemented
17	#2602	C₂	1	1	yes	maximal, characteristic, complemented
18	#2559	C₂	1	1	yes	maximal, characteristic, complemented
19	#2539	C₂	1	1	yes	maximal, characteristic, complemented
20	#2467	C₂	1	1	yes	maximal, characteristic, complemented
21	#2456	C₂	1	1	yes	maximal, characteristic, complemented
22	#2433	C₂	1	1	yes	maximal, characteristic, complemented
23	#2433	C₂	1	1	yes	maximal, characteristic, complemented
24	#2433	C₂	1	1	yes	maximal, characteristic, complemented
25	#2428	C₂	1	1	yes	maximal, characteristic, complemented
26	#2410	C₂	1	1	yes	maximal, characteristic, complemented
27	#2410	C₂	1	1	yes	maximal, characteristic, complemented
28	#2408	C₂	1	1	yes	maximal, characteristic, complemented
29	#2403	C₂	1	1	yes	maximal, characteristic, complemented
30	#2403	C₂	1	1	yes	maximal, characteristic, complemented
31	#2333	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄	C₂²	1	1	yes	characteristic
33	C₂³×D₄	C₂²	1	1	yes	characteristic
34	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
35	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
36	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
37	#560	—	2	8	no	—
38	D₄²	—	2	8	no	—
39	C₂×#127	C₂²	1	1	yes	characteristic
40	C₂×#127	C₂²	1	1	yes	characteristic, complemented
41	C₂×#127	C₂²	1	1	yes	characteristic, complemented
42	C₂×#127	C₂²	1	1	yes	characteristic, complemented
43	C₂×#127	C₂²	1	1	yes	characteristic, complemented
44	C₂×#126	C₂²	1	1	yes	characteristic, complemented
45	C₂×#126	C₂²	1	1	yes	characteristic, complemented
46	C₂×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×#121	C₂²	1	1	yes	characteristic
51	C₂×#121	C₂²	1	1	yes	characteristic
52	C₂×#121	C₂²	1	1	yes	characteristic, complemented
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×#121	C₂²	1	1	yes	characteristic, complemented
57	C₂×#121	C₂²	1	1	yes	characteristic, complemented
58	C₂×#121	C₂²	1	1	yes	characteristic, complemented
59	C₂×#121	C₂²	1	1	yes	characteristic, complemented
60	C₂×#121	C₂²	1	1	yes	characteristic, complemented
61	C₂×#121	C₂²	1	1	yes	characteristic, complemented
62	C₂×#121	C₂²	1	1	yes	characteristic, complemented
63	C₂×#121	C₂²	1	1	yes	characteristic, complemented
64	C₂×#121	C₂²	1	1	yes	characteristic, complemented
65	C₂×#120	C₂²	1	1	yes	characteristic
66	C₂×#120	C₂²	1	1	yes	characteristic
67	C₂×#120	C₂²	1	1	yes	characteristic, complemented
68	C₂×#120	C₂²	1	1	yes	characteristic, complemented
69	C₂×#120	C₂²	1	1	yes	characteristic, complemented
70	C₂×#120	C₂²	1	1	yes	characteristic, complemented
71	C₂×#120	C₂²	1	1	yes	characteristic, complemented
72	C₂×#120	C₂²	1	1	yes	characteristic, complemented
73	C₂×#120	C₂²	1	1	yes	characteristic, complemented
74	C₂×#120	C₂²	1	1	yes	characteristic, complemented
75	C₂×#120	C₂²	1	1	yes	characteristic, complemented
76	C₂×#120	C₂²	1	1	yes	characteristic, complemented
77	C₂×#120	C₂²	1	1	yes	characteristic, complemented
78	C₂×#120	C₂²	1	1	yes	characteristic, complemented
79	C₂×#120	C₂²	1	1	yes	characteristic, complemented
80	C₂×#120	C₂²	1	1	yes	characteristic, complemented
81	C₂×#120	C₂²	1	1	yes	characteristic, complemented
82	C₂×#120	C₂²	1	1	yes	characteristic, complemented
83	C₂×#120	C₂²	1	1	yes	characteristic, complemented
84	C₂×#120	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
88	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
89	#400	C₂²	1	1	yes	characteristic, complemented
90	#399	C₂²	1	1	yes	characteristic, complemented
91	#399	C₂²	1	1	yes	characteristic, complemented
92	#397	C₂²	1	1	yes	characteristic, complemented
93	#397	C₂²	1	1	yes	characteristic, complemented
94	#396	C₂²	1	1	yes	characteristic, complemented
95	#394	C₂²	1	1	yes	characteristic, complemented
96	#394	C₂²	1	1	yes	characteristic, complemented
97	#394	C₂²	1	1	yes	characteristic, complemented
98	#394	C₂²	1	1	yes	characteristic, complemented
99	#394	C₂²	1	1	yes	characteristic, complemented
100	#394	C₂²	1	1	yes	characteristic, complemented
101	#394	C₂²	1	1	yes	characteristic, complemented
102	#394	C₂²	1	1	yes	characteristic, complemented
103	#394	C₂²	1	1	yes	characteristic, complemented
104	#394	C₂²	1	1	yes	characteristic, complemented
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	#392	C₂²	1	1	yes	characteristic
113	#392	C₂²	1	1	yes	characteristic
114	#392	C₂²	1	1	yes	characteristic
115	#392	C₂²	1	1	yes	characteristic
116	#392	C₂²	1	1	yes	characteristic, complemented
117	#392	C₂²	1	1	yes	characteristic, complemented
118	#392	C₂²	1	1	yes	characteristic, complemented
119	#392	C₂²	1	1	yes	characteristic, complemented
120	#392	C₂²	1	1	yes	characteristic, complemented
121	#392	C₂²	1	1	yes	characteristic, complemented
122	#392	C₂²	1	1	yes	characteristic, complemented
123	#392	C₂²	1	1	yes	characteristic, complemented
124	#392	C₂²	1	1	yes	characteristic, complemented
125	#392	C₂²	1	1	yes	characteristic, complemented
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	#392	C₂²	1	1	yes	characteristic, complemented
132	#392	C₂²	1	1	yes	characteristic, complemented
133	#392	C₂²	1	1	yes	characteristic, complemented
134	#392	C₂²	1	1	yes	characteristic, complemented
135	#392	C₂²	1	1	yes	characteristic, complemented
136	#392	C₂²	1	1	yes	characteristic, complemented
137	#390	C₂²	1	1	yes	characteristic, complemented
138	#390	C₂²	1	1	yes	characteristic, complemented
139	#390	C₂²	1	1	yes	characteristic, complemented
140	#390	C₂²	1	1	yes	characteristic, complemented
141	#390	C₂²	1	1	yes	characteristic, complemented
142	#390	C₂²	1	1	yes	characteristic, complemented
143	#390	C₂²	1	1	yes	characteristic, complemented
144	#390	C₂²	1	1	yes	characteristic, complemented
145	#390	C₂²	1	1	yes	characteristic, complemented
146	#390	C₂²	1	1	yes	characteristic, complemented
147	#389	C₂²	1	1	yes	characteristic, complemented
148	#388	C₂²	1	1	yes	characteristic, complemented
149	#388	C₂²	1	1	yes	characteristic, complemented
150	#388	C₂²	1	1	yes	characteristic, complemented
151	#388	C₂²	1	1	yes	characteristic, complemented
152	#388	C₂²	1	1	yes	characteristic, complemented
153	#388	C₂²	1	1	yes	characteristic, complemented
154	#388	C₂²	1	1	yes	characteristic, complemented
155	#388	C₂²	1	1	yes	characteristic, complemented
156	#388	C₂²	1	1	yes	characteristic, complemented
157	#388	C₂²	1	1	yes	characteristic, complemented
158	#387	C₂²	1	1	yes	characteristic, complemented
159	#387	C₂²	1	1	yes	characteristic, complemented
160	#387	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	#386	C₂²	1	1	yes	characteristic, complemented
168	#386	C₂²	1	1	yes	characteristic, complemented
169	#386	C₂²	1	1	yes	characteristic, complemented
170	#386	C₂²	1	1	yes	characteristic, complemented
171	#386	C₂²	1	1	yes	characteristic, complemented
172	#386	C₂²	1	1	yes	characteristic, complemented
173	#386	C₂²	1	1	yes	characteristic, complemented
174	#386	C₂²	1	1	yes	characteristic, complemented
175	#386	C₂²	1	1	yes	characteristic, complemented
176	#386	C₂²	1	1	yes	characteristic, complemented
177	#385	C₂²	1	1	yes	characteristic, complemented
178	#385	C₂²	1	1	yes	characteristic, complemented
179	#381	C₂²	1	1	yes	characteristic, complemented
180	#380	C₂²	1	1	yes	characteristic, complemented
181	#379	C₂²	1	1	yes	characteristic, complemented
182	#379	C₂²	1	1	yes	characteristic, complemented
183	#379	C₂²	1	1	yes	characteristic, complemented
184	#379	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₂²⋊C₄	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	C₂⁵	C₂³	1	1	yes	characteristic
193	C₂⁵	C₂³	1	1	yes	characteristic
194	C₂²×D₄	—	2	4	no	—
195	C₂²×D₄	—	2	4	no	—
196	C₂²×D₄	—	2	4	no	—
197	C₂²×D₄	—	2	4	no	—
198	C₂²×D₄	—	4	2	no	—
199	C₂²×D₄	—	4	2	no	—
200	C₂²×D₄	—	4	2	no	—
201	C₂²×D₄	—	4	2	no	—
202	C₂²×D₄	—	4	2	no	—
203	C₂²×D₄	—	4	2	no	—
204	C₂²×D₄	—	4	2	no	—
205	C₂²×D₄	—	4	2	no	—
206	C₂²×D₄	—	4	2	no	—
207	C₂²×D₄	—	4	2	no	—
208	C₂²×D₄	—	4	2	no	—
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	C₂²×D₄	C₂³	1	1	yes	characteristic
222	C₂²×D₄	C₂³	1	1	yes	characteristic
223	C₂²×D₄	C₂³	1	1	yes	characteristic
224	C₂²×D₄	C₂³	1	1	yes	characteristic
225	C₂²×D₄	C₂³	1	1	yes	characteristic
226	C₂²×D₄	C₂³	1	1	yes	characteristic
227	C₂²×D₄	C₂³	1	1	yes	characteristic
228	C₂²×D₄	C₂³	1	1	yes	characteristic
229	C₂²×D₄	C₂³	1	1	yes	characteristic
230	C₂²×D₄	C₂³	1	1	yes	characteristic
231	C₂²×D₄	C₂³	1	1	yes	characteristic
232	C₂²×D₄	C₂³	1	1	yes	characteristic
233	C₂²×D₄	C₂³	1	1	yes	characteristic
234	C₂²×D₄	C₂³	1	1	yes	characteristic
235	C₂²×D₄	C₂³	1	1	yes	characteristic
236	C₂²×D₄	C₂³	1	1	yes	characteristic
237	C₂²×D₄	C₂³	1	1	yes	characteristic
238	C₂²×D₄	C₂³	1	1	yes	characteristic
239	C₂²×D₄	C₂³	1	1	yes	characteristic
240	C₂²×D₄	C₂³	1	1	yes	characteristic
241	C₂²×D₄	C₂³	1	1	yes	characteristic
242	C₂²×D₄	C₂³	1	1	yes	characteristic
243	C₂²×D₄	C₂³	1	1	yes	characteristic
244	C₂²×D₄	C₂³	1	1	yes	characteristic
245	C₂²×D₄	C₂³	1	1	yes	characteristic
246	C₂²×D₄	C₂³	1	1	yes	characteristic
247	C₂²×D₄	C₂³	1	1	yes	characteristic
248	C₂²×D₄	C₂³	1	1	yes	characteristic
249	C₂³×C₄	C₂³	1	1	yes	characteristic
250	C₂³×C₄	C₂³	1	1	yes	characteristic
251	C₂³×C₄	C₂³	1	1	yes	characteristic
252	C₂³×C₄	C₂³	1	1	yes	characteristic
253	C₂³×C₄	C₂³	1	1	yes	characteristic
254	C₂³×C₄	C₂³	1	1	yes	characteristic
255	C₂³×C₄	C₂³	1	1	yes	characteristic
256	C₂³×C₄	C₂³	1	1	yes	characteristic
257	#127	—	2	4	no	—
258	#127	—	2	4	no	—
259	#127	—	4	2	no	—
260	#127	—	4	2	no	—
261	#127	—	4	2	no	—
262	#126	—	2	4	no	—
263	#126	—	2	4	no	—
264	#123	—	2	4	no	—
265	#123	—	2	4	no	—
266	#123	—	2	4	no	—
267	#123	—	4	2	no	—
268	#121	—	2	4	no	—
269	#121	—	2	4	no	—
270	#121	—	2	4	no	—
271	#121	—	2	4	no	—
272	#121	—	2	4	no	—
273	#121	—	2	4	no	—
274	#121	—	2	4	no	—
275	#121	—	2	4	no	—
276	#121	—	4	2	no	—
277	#121	—	4	2	no	—
278	#121	—	4	2	no	—
279	#121	—	4	2	no	—
280	#121	—	4	2	no	—
281	#121	—	4	2	no	—
282	#121	D₄	1	8	yes	complemented
283	#120	—	2	4	no	—
284	#120	—	2	4	no	—
285	#120	—	2	4	no	—
286	#120	—	2	4	no	—
287	#120	—	2	4	no	—
288	#120	—	2	4	no	—
289	#120	—	2	4	no	—
290	#120	—	4	2	no	—
291	#120	—	4	2	no	—
292	#120	—	4	2	no	—
293	#120	—	4	2	no	—
294	#120	—	4	2	no	—
295	#120	—	4	2	no	—
296	#120	—	4	2	no	—
297	#120	—	4	2	no	—
298	#120	—	4	2	no	—
299	#120	—	4	2	no	—
300	#120	—	4	2	no	—
301	#120	—	4	2	no	—
302	#120	—	4	2	no	—
303	C₄×D₄	—	2	4	no	—
304	C₄×D₄	—	2	4	no	—
305	C₄×D₄	—	4	2	no	—
306	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
380	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
381	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
382	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
383	C₂×C₄²	C₂³	1	1	yes	characteristic
384	C₂×C₄²	C₂³	1	1	yes	characteristic
385	C₂×C₄²	C₂³	1	1	yes	characteristic
386	C₂×C₄²	C₂³	1	1	yes	characteristic
387	C₂×C₄²	C₂³	1	1	yes	characteristic
388	C₂×C₄²	C₂³	1	1	yes	characteristic
389	#95	C₂³	1	1	yes	characteristic
390	#95	C₂³	1	1	yes	characteristic
391	#95	C₂³	1	1	yes	characteristic
392	#95	C₂³	1	1	yes	characteristic
393	#95	C₂³	1	1	yes	characteristic
394	#95	C₂³	1	1	yes	characteristic
395	#95	C₂³	1	1	yes	characteristic
396	#95	C₂³	1	1	yes	characteristic
397	#95	C₂³	1	1	yes	characteristic
398	#95	C₂³	1	1	yes	characteristic
399	#95	C₂³	1	1	yes	characteristic
400	#95	C₂³	1	1	yes	characteristic
401	#95	C₂³	1	1	yes	characteristic
402	#95	C₂³	1	1	yes	characteristic
403	#95	C₂³	1	1	yes	characteristic
404	#95	C₂³	1	1	yes	characteristic
405	#95	C₂³	1	1	yes	characteristic
406	#95	C₂³	1	1	yes	characteristic
407	#95	C₂³	1	1	yes	characteristic
408	#95	C₂³	1	1	yes	characteristic
409	C₂⁴	—	2	2	no	—
410	C₂⁴	—	2	2	no	—
411	C₂⁴	—	2	2	no	—
412	C₂⁴	—	2	2	no	—
413	C₂⁴	—	2	2	no	—
414	C₂⁴	—	2	2	no	—
415	C₂⁴	—	2	2	no	—
416	C₂⁴	—	2	2	no	—
417	C₂⁴	—	2	2	no	—
418	C₂⁴	—	2	2	no	—
419	C₂⁴	—	2	2	no	—
420	C₂⁴	—	4	1	no	—
421	C₂⁴	—	4	1	no	—
422	C₂⁴	—	4	1	no	—
423	C₂⁴	—	4	1	no	—
424	C₂⁴	—	4	1	no	—
425	C₂⁴	—	4	1	no	—
426	C₂⁴	—	4	1	no	—
427	C₂⁴	—	4	1	no	—
428	C₂⁴	—	4	1	no	—
429	C₂⁴	—	4	1	no	—
430	C₂⁴	—	4	1	no	—
431	C₂⁴	—	4	1	no	—
432	C₂⁴	—	4	1	no	—
433	C₂⁴	—	4	1	no	—
434	C₂⁴	—	4	1	no	—
435	C₂⁴	—	4	1	no	—
436	C₂⁴	—	4	1	no	—
437	C₂⁴	—	4	1	no	—
438	C₂⁴	—	4	1	no	—
439	C₂⁴	—	4	1	no	—
440	C₂⁴	—	4	1	no	—
441	C₂⁴	—	4	1	no	—
442	C₂⁴	—	4	1	no	—
443	C₂⁴	—	4	1	no	—
444	C₂⁴	C₂⁴	1	1	yes	characteristic
445	C₂⁴	C₂⁴	1	1	yes	characteristic
446	C₂⁴	C₂⁴	1	1	yes	characteristic
447	C₂⁴	C₂⁴	1	1	yes	characteristic
448	C₂⁴	C₂⁴	1	1	yes	characteristic
449	C₂⁴	C₂⁴	1	1	yes	characteristic
450	C₂⁴	C₂⁴	1	1	yes	characteristic
451	C₂⁴	C₂⁴	1	1	yes	characteristic
452	C₂⁴	C₂⁴	1	1	yes	characteristic
453	C₂⁴	C₂⁴	1	1	yes	characteristic
454	C₂⁴	C₂⁴	1	1	yes	characteristic
455	C₂×D₄	—	2	2	no	—
456	C₂×D₄	—	2	2	no	—
457	C₂×D₄	—	2	2	no	—
458	C₂×D₄	—	2	2	no	—
459	C₂×D₄	—	2	2	no	—
460	C₂×D₄	—	2	2	no	—
461	C₂×D₄	—	2	2	no	—
462	C₂×D₄	—	2	2	no	—
463	C₂×D₄	—	2	2	no	—
464	C₂×D₄	—	2	2	no	—
465	C₂×D₄	—	2	2	no	—
466	C₂×D₄	—	2	2	no	—
467	C₂×D₄	—	2	2	no	—
468	C₂×D₄	—	2	2	no	—
469	C₂×D₄	—	2	2	no	—
470	C₂×D₄	—	2	2	no	—
471	C₂×D₄	—	2	2	no	—
472	C₂×D₄	—	2	2	no	—
473	C₂×D₄	—	2	2	no	—
474	C₂×D₄	—	2	2	no	—
475	C₂×D₄	—	2	2	no	—
476	C₂×D₄	—	2	2	no	—
477	C₂×D₄	—	2	2	no	—
478	C₂×D₄	—	2	2	no	—
479	C₂×D₄	—	2	2	no	—
480	C₂×D₄	—	2	2	no	—
481	C₂×D₄	—	2	2	no	—
482	C₂×D₄	—	2	2	no	—
483	C₂×D₄	—	2	2	no	—
484	C₂×D₄	—	2	2	no	—
485	C₂×D₄	—	2	2	no	—
486	C₂×D₄	—	2	2	no	—
487	C₂×D₄	—	2	2	no	—
488	C₂×D₄	—	2	2	no	—
489	C₂×D₄	—	2	2	no	—
490	C₂×D₄	—	2	2	no	—
491	C₂×D₄	—	2	2	no	—
492	C₂×D₄	—	2	2	no	—
493	C₂×D₄	—	2	2	no	—
494	C₂×D₄	—	2	2	no	—
495	C₂×D₄	—	2	2	no	—
496	C₂×D₄	—	2	2	no	—
497	C₂×D₄	—	2	2	no	—
498	C₂×D₄	—	2	2	no	—
499	C₂×D₄	—	2	2	no	—
500	C₂×D₄	—	2	2	no	—
501	C₂×D₄	—	2	2	no	—
502	C₂×D₄	—	2	2	no	—
503	C₂×D₄	—	4	1	no	—
504	C₂×D₄	—	4	1	no	—
505	C₂×D₄	—	4	1	no	—
506	C₂×D₄	—	4	1	no	—
507	C₂×D₄	—	4	1	no	—
508	C₂×D₄	—	4	1	no	—
509	C₂×D₄	—	4	1	no	—
510	C₂×D₄	—	4	1	no	—
511	C₂×D₄	—	4	1	no	—
512	C₂×D₄	—	4	1	no	—
513	C₂×D₄	—	4	1	no	—
514	C₂×D₄	—	4	1	no	—
515	C₂×D₄	—	4	1	no	—
516	C₂×D₄	—	4	1	no	—
517	C₂×D₄	—	4	1	no	—
518	C₂×D₄	—	4	1	no	—
519	C₂×D₄	—	4	1	no	—
520	C₂×D₄	—	4	1	no	—
521	C₂×D₄	—	4	1	no	—
522	C₂×D₄	—	4	1	no	—
523	C₂×D₄	—	4	1	no	—
524	C₂×D₄	—	4	1	no	—
525	C₂×D₄	—	4	1	no	—
526	C₂×D₄	—	4	1	no	—
527	C₂×D₄	—	4	1	no	—
528	C₂×D₄	—	4	1	no	—
529	C₂×D₄	—	4	1	no	—
530	C₂×D₄	—	4	1	no	—
531	C₂×D₄	—	4	1	no	—
532	C₂×D₄	—	4	1	no	—
533	C₂×D₄	—	4	1	no	—
534	C₂×D₄	—	4	1	no	—
535	C₂×D₄	—	4	1	no	—
536	C₂×D₄	—	4	1	no	—
537	C₂×D₄	—	4	1	no	—
538	C₂×D₄	—	4	1	no	—
539	C₂×D₄	—	4	1	no	—
540	C₂×D₄	—	4	1	no	—
541	C₂×D₄	—	4	1	no	—
542	C₂×D₄	—	4	1	no	—
543	C₂×D₄	—	4	1	no	—
544	C₂×D₄	—	4	1	no	—
545	C₂×D₄	—	4	1	no	—
546	C₂×D₄	—	4	1	no	—
547	C₂×D₄	—	4	1	no	—
548	C₂×D₄	—	4	1	no	—
549	C₂×D₄	—	4	1	no	—
550	C₂×D₄	—	4	1	no	—
551	C₂×D₄	—	4	1	no	—
552	C₂×D₄	—	4	1	no	—
553	C₂×D₄	—	4	1	no	—
554	C₂×D₄	—	4	1	no	—
555	C₂×D₄	—	4	1	no	—
556	C₂×D₄	—	4	1	no	—
557	C₂×D₄	—	4	1	no	—
558	C₂×D₄	—	4	1	no	—
559	C₂×D₄	—	4	1	no	—
560	C₂×D₄	—	4	1	no	—
561	C₂×D₄	—	4	1	no	—
562	C₂×D₄	—	4	1	no	—
563	C₂×D₄	—	4	1	no	—
564	C₂×D₄	—	4	1	no	—
565	C₂×D₄	—	4	1	no	—
566	C₂×D₄	—	4	1	no	—
567	C₂×D₄	—	4	1	no	—
568	C₂×D₄	—	4	1	no	—
569	C₂×D₄	—	4	1	no	—
570	C₂×D₄	—	4	1	no	—
571	C₂×D₄	—	4	1	no	—
572	C₂×D₄	—	4	16	no	—
573	C₂×D₄	—	4	16	no	—
574	C₂×D₄	—	4	16	no	—
575	C₂×D₄	—	4	16	no	—
576	C₂×D₄	—	4	16	no	—
577	C₂×D₄	C₂×D₄	1	4	yes	—
578	C₂×D₄	C₂×D₄	1	4	yes	—
579	C₂×D₄	C₂×D₄	1	4	yes	complemented
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	—	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	—	4	1	no	—
601	C₂²×C₄	—	4	1	no	—
602	C₂²×C₄	—	4	1	no	—
603	C₂²×C₄	C₂×D₄	1	4	yes	complemented
604	C₂²×C₄	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄	C₂⁴	1	1	yes	characteristic
617	C₂²×C₄	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄	—	2	2	no	—
625	C₄⋊C₄	—	2	2	no	—
626	C₄⋊C₄	—	2	2	no	—
627	C₄⋊C₄	—	2	2	no	—
628	C₄⋊C₄	—	2	2	no	—
629	C₄⋊C₄	—	2	2	no	—
630	C₄⋊C₄	—	2	2	no	—
631	C₄⋊C₄	—	2	2	no	—
632	C₄⋊C₄	—	4	1	no	—
633	C₄⋊C₄	—	4	1	no	—
634	C₄⋊C₄	—	4	1	no	—
635	C₄⋊C₄	—	4	1	no	—
636	C₄⋊C₄	—	4	1	no	—
637	C₄⋊C₄	C₂×D₄	1	4	yes	complemented
638	C₂²⋊C₄	—	2	2	no	—
639	C₂²⋊C₄	—	2	2	no	—
640	C₂²⋊C₄	—	2	2	no	—
641	C₂²⋊C₄	—	2	2	no	—
642	C₂²⋊C₄	—	2	2	no	—
643	C₂²⋊C₄	—	2	2	no	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	2	no	—
646	C₂²⋊C₄	—	2	2	no	—
647	C₂²⋊C₄	—	2	2	no	—
648	C₂²⋊C₄	—	2	2	no	—
649	C₂²⋊C₄	—	2	2	no	—
650	C₂²⋊C₄	—	2	2	no	—
651	C₂²⋊C₄	—	2	2	no	—
652	C₂²⋊C₄	—	2	2	no	—
653	C₂²⋊C₄	—	2	2	no	—
654	C₂²⋊C₄	—	2	2	no	—
655	C₂²⋊C₄	—	2	2	no	—
656	C₂²⋊C₄	—	2	2	no	—
657	C₂²⋊C₄	—	2	2	no	—
658	C₂²⋊C₄	—	2	2	no	—
659	C₂²⋊C₄	—	2	2	no	—
660	C₂²⋊C₄	—	2	2	no	—
661	C₂²⋊C₄	—	2	2	no	—
662	C₂²⋊C₄	—	2	2	no	—
663	C₂²⋊C₄	—	2	2	no	—
664	C₂²⋊C₄	—	2	2	no	—
665	C₂²⋊C₄	—	2	2	no	—
666	C₂²⋊C₄	—	2	2	no	—
667	C₂²⋊C₄	—	2	2	no	—
668	C₂²⋊C₄	—	2	2	no	—
669	C₂²⋊C₄	—	2	2	no	—
670	C₂²⋊C₄	—	4	1	no	—
671	C₂²⋊C₄	—	4	1	no	—
672	C₂²⋊C₄	—	4	1	no	—
673	C₂²⋊C₄	—	4	1	no	—
674	C₂²⋊C₄	—	4	1	no	—
675	C₂²⋊C₄	—	4	1	no	—
676	C₂²⋊C₄	—	4	1	no	—
677	C₂²⋊C₄	—	4	1	no	—
678	C₂²⋊C₄	—	4	1	no	—
679	C₂²⋊C₄	—	4	1	no	—
680	C₂²⋊C₄	—	4	1	no	—
681	C₂²⋊C₄	—	4	1	no	—
682	C₂²⋊C₄	—	4	1	no	—
683	C₂²⋊C₄	—	4	1	no	—
684	C₂²⋊C₄	—	4	1	no	—
685	C₂²⋊C₄	—	4	1	no	—
686	C₂²⋊C₄	—	4	1	no	—
687	C₂²⋊C₄	—	4	1	no	—
688	C₂²⋊C₄	—	4	1	no	—
689	C₂²⋊C₄	—	4	1	no	—
690	C₂²⋊C₄	—	4	1	no	—
691	C₂²⋊C₄	—	4	1	no	—
692	C₂²⋊C₄	—	4	1	no	—
693	C₂²⋊C₄	—	4	1	no	—
694	C₂²⋊C₄	—	4	1	no	—
695	C₂²⋊C₄	—	4	1	no	—
696	C₂²⋊C₄	—	4	1	no	—
697	C₂²⋊C₄	—	4	1	no	—
698	C₂²⋊C₄	C₂×D₄	1	4	yes	—
699	C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
700	C₄²	—	2	2	no	—
701	C₄²	—	2	2	no	—
702	C₄²	—	4	1	no	—
703	C₄²	—	4	1	no	—
704	C₄²	—	4	1	no	—
705	C₄²	—	4	1	no	—
706	C₂³	—	2	1	no	—
707	C₂³	—	2	1	no	—
708	C₂³	—	2	1	no	—
709	C₂³	—	2	1	no	—
710	C₂³	—	2	1	no	—
711	C₂³	—	2	1	no	—
712	C₂³	—	2	1	no	—
713	C₂³	—	2	1	no	—
714	C₂³	—	2	1	no	—
715	C₂³	—	2	1	no	—
716	C₂³	—	2	1	no	—
717	C₂³	—	2	1	no	—
718	C₂³	—	2	1	no	—
719	C₂³	—	2	1	no	—
720	C₂³	—	2	1	no	—
721	C₂³	—	2	1	no	—
722	C₂³	—	2	1	no	—
723	C₂³	—	2	1	no	—
724	C₂³	—	2	1	no	—
725	C₂³	—	2	1	no	—
726	C₂³	—	2	1	no	—
727	C₂³	—	2	1	no	—
728	C₂³	—	2	1	no	—
729	C₂³	—	2	1	no	—
730	C₂³	—	2	1	no	—
731	C₂³	—	2	1	no	—
732	C₂³	—	2	1	no	—
733	C₂³	—	2	1	no	—
734	C₂³	—	2	1	no	—
735	C₂³	—	2	1	no	—
736	C₂³	—	2	1	no	—
737	C₂³	—	2	1	no	—
738	C₂³	—	2	1	no	—
739	C₂³	—	2	1	no	—
740	C₂³	—	2	1	no	—
741	C₂³	—	2	1	no	—
742	C₂³	—	2	1	no	—
743	C₂³	—	2	1	no	—
744	C₂³	—	2	1	no	—
745	C₂³	—	2	1	no	—
746	C₂³	—	2	1	no	—
747	C₂³	—	2	1	no	—
748	C₂³	—	2	1	no	—
749	C₂³	—	2	1	no	—
750	C₂³	—	2	1	no	—
751	C₂³	—	2	1	no	—
752	C₂³	—	2	1	no	—
753	C₂³	—	2	1	no	—
754	C₂³	—	2	1	no	—
755	C₂³	—	2	1	no	—
756	C₂³	—	2	1	no	—
757	C₂³	—	2	1	no	—
758	C₂³	—	2	1	no	—
759	C₂³	—	2	1	no	—
760	C₂³	—	2	1	no	—
761	C₂³	—	2	1	no	—
762	C₂³	—	2	1	no	—
763	C₂³	—	2	1	no	—
764	C₂³	—	2	1	no	—
765	C₂³	—	2	1	no	—
766	C₂³	—	2	1	no	—
767	C₂³	—	2	1	no	—
768	C₂³	—	2	1	no	—
769	C₂³	—	2	1	no	—
770	C₂³	—	2	1	no	—
771	C₂³	—	2	1	no	—
772	C₂³	—	2	1	no	—
773	C₂³	—	2	1	no	—
774	C₂³	—	2	1	no	—
775	C₂³	—	2	1	no	—
776	C₂³	—	2	1	no	—
777	C₂³	—	4	4	no	—
778	C₂³	—	4	4	no	—
779	C₂³	—	4	4	no	—
780	C₂³	—	4	4	no	—
781	C₂³	—	4	4	no	—
782	C₂³	—	4	4	no	—
783	C₂³	—	4	4	no	—
784	C₂³	—	4	4	no	—
785	C₂³	—	4	4	no	—
786	C₂³	—	4	4	no	—
787	C₂³	—	4	4	no	—
788	C₂³	—	8	2	no	—
789	C₂³	—	8	2	no	—
790	C₂³	—	8	2	no	—
791	C₂³	—	8	2	no	—
792	C₂³	—	8	2	no	—
793	C₂³	—	8	2	no	—
794	C₂³	—	8	2	no	—
795	C₂³	—	8	2	no	—
796	C₂³	—	8	2	no	—
797	C₂³	—	8	2	no	—
798	C₂³	—	8	2	no	—
799	C₂³	—	8	2	no	—
800	C₂³	—	8	2	no	—
801	C₂³	—	8	2	no	—
802	C₂³	—	8	2	no	—
803	C₂³	—	8	2	no	—
804	C₂³	—	8	2	no	—
805	C₂³	—	8	2	no	—
806	C₂³	—	8	2	no	—
807	C₂³	—	8	2	no	—
808	C₂³	—	8	2	no	—
809	C₂³	—	8	2	no	—
810	C₂³	—	8	2	no	—
811	C₂³	—	8	2	no	—
812	C₂³	C₂²×D₄	1	2	yes	—
813	C₂³	C₂²×D₄	1	2	yes	—
814	C₂³	C₂²×D₄	1	2	yes	—
815	C₂³	H(5,𝔽₂)	1	2	yes	—
816	C₂³	H(5,𝔽₂)	1	2	yes	—
817	C₂³	H(5,𝔽₂)	1	2	yes	—
818	C₂³	C₂⁵	1	1	yes	characteristic
819	D₄	—	2	8	no	—
820	D₄	—	2	8	no	—
821	D₄	—	4	4	no	—
822	D₄	—	4	4	no	—
823	D₄	—	4	4	no	—
824	D₄	—	4	4	no	—
825	D₄	—	4	4	no	—
826	D₄	—	4	4	no	—
827	D₄	—	4	4	no	—
828	D₄	—	4	4	no	—
829	D₄	—	4	4	no	—
830	D₄	—	4	4	no	—
831	D₄	—	4	4	no	—
832	D₄	—	4	4	no	—
833	D₄	—	4	4	no	—
834	D₄	—	4	4	no	—
835	D₄	—	4	4	no	—
836	D₄	—	4	4	no	—
837	D₄	—	4	4	no	—
838	D₄	—	8	2	no	—
839	D₄	—	8	2	no	—
840	D₄	—	8	2	no	—
841	D₄	—	8	2	no	—
842	D₄	—	8	2	no	—
843	D₄	—	8	2	no	—
844	D₄	—	8	2	no	—
845	D₄	—	8	2	no	—
846	D₄	—	8	2	no	—
847	D₄	—	8	2	no	—
848	D₄	—	8	2	no	—
849	D₄	—	8	2	no	—
850	D₄	—	8	2	no	—
851	D₄	—	8	2	no	—
852	D₄	—	8	2	no	—
853	D₄	—	8	2	no	—
854	D₄	—	8	2	no	—
855	D₄	—	8	2	no	—
856	D₄	—	8	2	no	—
857	D₄	—	8	2	no	—
858	D₄	—	8	2	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	1	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	1	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	4	4	no	—
913	C₂×C₄	—	4	4	no	—
914	C₂×C₄	—	4	4	no	—
915	C₂×C₄	—	4	4	no	—
916	C₂×C₄	—	4	4	no	—
917	C₂×C₄	—	8	2	no	—
918	C₂×C₄	—	8	2	no	—
919	C₂×C₄	—	8	2	no	—
920	C₂×C₄	C₂²×D₄	1	2	yes	—
921	C₂×C₄	C₂²×D₄	1	2	yes	—
922	C₂×C₄	C₂²×D₄	1	2	yes	—
923	C₂×C₄	C₂²×D₄	1	2	yes	—
924	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
925	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
926	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
927	C₂²	—	2	2	no	—
928	C₂²	—	2	2	no	—
929	C₂²	—	2	2	no	—
930	C₂²	—	2	2	no	—
931	C₂²	—	2	2	no	—
932	C₂²	—	2	2	no	—
933	C₂²	—	2	2	no	—
934	C₂²	—	2	2	no	—
935	C₂²	—	2	2	no	—
936	C₂²	—	2	2	no	—
937	C₂²	—	2	2	no	—
938	C₂²	—	2	2	no	—
939	C₂²	—	2	2	no	—
940	C₂²	—	2	2	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	2	no	—
943	C₂²	—	2	2	no	—
944	C₂²	—	2	2	no	—
945	C₂²	—	4	1	no	—
946	C₂²	—	4	1	no	—
947	C₂²	—	4	1	no	—
948	C₂²	—	4	1	no	—
949	C₂²	—	4	1	no	—
950	C₂²	—	4	1	no	—
951	C₂²	—	4	1	no	—
952	C₂²	—	4	1	no	—
953	C₂²	—	4	1	no	—
954	C₂²	—	4	1	no	—
955	C₂²	—	4	1	no	—
956	C₂²	—	4	1	no	—
957	C₂²	—	4	1	no	—
958	C₂²	—	4	1	no	—
959	C₂²	—	4	1	no	—
960	C₂²	—	4	1	no	—
961	C₂²	—	4	1	no	—
962	C₂²	—	4	1	no	—
963	C₂²	—	4	1	no	—
964	C₂²	—	4	1	no	—
965	C₂²	—	4	1	no	—
966	C₂²	—	4	1	no	—
967	C₂²	—	4	1	no	—
968	C₂²	—	4	1	no	—
969	C₂²	—	4	1	no	—
970	C₂²	—	4	1	no	—
971	C₂²	—	4	1	no	—
972	C₂²	—	4	1	no	—
973	C₂²	—	4	1	no	—
974	C₂²	—	4	1	no	—
975	C₂²	—	4	1	no	—
976	C₂²	—	4	1	no	—
977	C₂²	—	4	1	no	—
978	C₂²	—	4	1	no	—
979	C₂²	—	4	1	no	—
980	C₂²	—	4	1	no	—
981	C₂²	—	4	1	no	—
982	C₂²	—	4	1	no	—
983	C₂²	—	4	1	no	—
984	C₂²	—	4	1	no	—
985	C₂²	—	4	1	no	—
986	C₂²	—	4	1	no	—
987	C₂²	—	4	1	no	—
988	C₂²	—	4	1	no	—
989	C₂²	—	4	1	no	—
990	C₂²	—	4	1	no	—
991	C₂²	—	4	1	no	—
992	C₂²	—	4	1	no	—
993	C₂²	—	4	1	no	—
994	C₂²	—	4	1	no	—
995	C₂²	—	4	1	no	—
996	C₂²	—	4	1	no	—
997	C₂²	—	4	1	no	—
998	C₂²	—	4	1	no	—
999	C₂²	—	4	1	no	—
1000	C₂²	—	4	1	no	—
1001	C₂²	—	4	1	no	—
1002	C₂²	—	4	1	no	—
1003	C₂²	—	4	1	no	—
1004	C₂²	—	8	8	no	—
1005	C₂²	—	8	8	no	—
1006	C₂²	—	8	8	no	—
1007	C₂²	—	8	8	no	—
1008	C₂²	—	8	8	no	—
1009	C₂²	C₂³×D₄	1	1	yes	characteristic
1010	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1011	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1012	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1013	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1014	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1015	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1016	C₄	—	2	2	no	—
1017	C₄	—	2	2	no	—
1018	C₄	—	2	2	no	—
1019	C₄	—	2	2	no	—
1020	C₄	—	2	2	no	—
1021	C₄	—	2	2	no	—
1022	C₄	—	2	2	no	—
1023	C₄	—	4	1	no	—
1024	C₄	—	4	1	no	—
1025	C₄	—	4	1	no	—
1026	C₄	—	4	1	no	—
1027	C₄	—	4	1	no	—
1028	C₄	—	4	1	no	—
1029	C₄	—	4	1	no	—
1030	C₄	—	4	1	no	—
1031	C₄	—	4	1	no	—
1032	C₄	—	4	1	no	—
1033	C₄	—	4	1	no	—
1034	C₄	—	4	1	no	—
1035	C₄	—	4	1	no	—
1036	C₂	—	4	2	no	—
1037	C₂	—	4	2	no	—
1038	C₂	—	4	2	no	—
1039	C₂	—	4	2	no	—
1040	C₂	—	4	2	no	—
1041	C₂	—	4	2	no	—
1042	C₂	—	8	1	no	—
1043	C₂	—	8	1	no	—
1044	C₂	—	8	1	no	—
1045	C₂	—	8	1	no	—
1046	C₂	—	8	1	no	—
1047	C₂	#3484	1	1	yes	characteristic
1048	C₂	#3484	1	1	yes	characteristic
1049	C₂	#3498	1	1	yes	characteristic
1050	C₂	#3532	1	1	yes	characteristic
1051	C₂	#3537	1	1	yes	characteristic
1052	C₂	#3537	1	1	yes	characteristic
1053	C₂	#3543	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×#560	C₂	semidirect
2. C₂×D₄²	C₂	semidirect
3. #2714	C₂	semidirect
4. #2703	C₂	semidirect
5. #2685	C₂	semidirect
6. #2679	C₂	semidirect
7. #2678	C₂	semidirect
8. #2673	C₂	semidirect
9. #2673	C₂	semidirect
10. #2669	C₂	semidirect
11. #2669	C₂	semidirect
12. #2669	C₂	semidirect
13. #2669	C₂	semidirect
14. #2668	C₂	semidirect
15. #2635	C₂	semidirect
16. #2613	C₂	semidirect
17. #2602	C₂	semidirect
18. #2559	C₂	semidirect
19. #2539	C₂	semidirect
20. #2467	C₂	semidirect
21. #2456	C₂	semidirect
22. #2433	C₂	semidirect
23. #2433	C₂	semidirect
24. #2433	C₂	semidirect
25. #2428	C₂	semidirect
26. #2410	C₂	semidirect
27. #2410	C₂	semidirect
28. #2408	C₂	semidirect
29. #2403	C₂	semidirect
30. #2403	C₂	semidirect
31. #2333	C₂	semidirect
34. C₂³×D₄	C₂²	semidirect
35. C₂³×D₄	C₂²	semidirect
36. C₂³×D₄	C₂²	semidirect
40. C₂×#127	C₂²	semidirect
41. C₂×#127	C₂²	semidirect
42. C₂×#127	C₂²	semidirect
43. C₂×#127	C₂²	semidirect
44. C₂×#126	C₂²	semidirect
45. C₂×#126	C₂²	semidirect
46. C₂×#123	C₂²	semidirect
47. C₂×#123	C₂²	semidirect
48. C₂×#123	C₂²	semidirect
49. C₂×#123	C₂²	semidirect
52. C₂×#121	C₂²	semidirect
53. C₂×#121	C₂²	semidirect
54. C₂×#121	C₂²	semidirect
55. C₂×#121	C₂²	semidirect
56. C₂×#121	C₂²	semidirect
57. C₂×#121	C₂²	semidirect
58. C₂×#121	C₂²	semidirect
59. C₂×#121	C₂²	semidirect
60. C₂×#121	C₂²	semidirect
61. C₂×#121	C₂²	semidirect
62. C₂×#121	C₂²	semidirect
63. C₂×#121	C₂²	semidirect
64. C₂×#121	C₂²	semidirect
67. C₂×#120	C₂²	semidirect
68. C₂×#120	C₂²	semidirect
69. C₂×#120	C₂²	semidirect
70. C₂×#120	C₂²	semidirect
71. C₂×#120	C₂²	semidirect
72. C₂×#120	C₂²	semidirect
73. C₂×#120	C₂²	semidirect
74. C₂×#120	C₂²	semidirect
75. C₂×#120	C₂²	semidirect
76. C₂×#120	C₂²	semidirect
77. C₂×#120	C₂²	semidirect
78. C₂×#120	C₂²	semidirect
79. C₂×#120	C₂²	semidirect
80. C₂×#120	C₂²	semidirect
81. C₂×#120	C₂²	semidirect
82. C₂×#120	C₂²	semidirect
83. C₂×#120	C₂²	semidirect
84. C₂×#120	C₂²	semidirect
85. C₂×C₄×D₄	C₂²	semidirect
86. C₂×C₄×D₄	C₂²	semidirect
87. C₂×C₄×D₄	C₂²	semidirect
88. C₂²×C₂²⋊C₄	C₂²	semidirect
89. #400	C₂²	semidirect
90. #399	C₂²	semidirect
91. #399	C₂²	semidirect
92. #397	C₂²	semidirect
93. #397	C₂²	semidirect
94. #396	C₂²	semidirect
95. #394	C₂²	semidirect
96. #394	C₂²	semidirect
97. #394	C₂²	semidirect
98. #394	C₂²	semidirect
99. #394	C₂²	semidirect
100. #394	C₂²	semidirect
101. #394	C₂²	semidirect
102. #394	C₂²	semidirect
103. #394	C₂²	semidirect
104. #394	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
116. #392	C₂²	semidirect
117. #392	C₂²	semidirect
118. #392	C₂²	semidirect
119. #392	C₂²	semidirect
120. #392	C₂²	semidirect
121. #392	C₂²	semidirect
122. #392	C₂²	semidirect
123. #392	C₂²	semidirect
124. #392	C₂²	semidirect
125. #392	C₂²	semidirect
126. #392	C₂²	semidirect
127. #392	C₂²	semidirect
128. #392	C₂²	semidirect
129. #392	C₂²	semidirect
130. #392	C₂²	semidirect
131. #392	C₂²	semidirect
132. #392	C₂²	semidirect
133. #392	C₂²	semidirect
134. #392	C₂²	semidirect
135. #392	C₂²	semidirect
136. #392	C₂²	semidirect
137. #390	C₂²	semidirect
138. #390	C₂²	semidirect
139. #390	C₂²	semidirect
140. #390	C₂²	semidirect
141. #390	C₂²	semidirect
142. #390	C₂²	semidirect
143. #390	C₂²	semidirect
144. #390	C₂²	semidirect
145. #390	C₂²	semidirect
146. #390	C₂²	semidirect
147. #389	C₂²	semidirect
148. #388	C₂²	semidirect
149. #388	C₂²	semidirect
150. #388	C₂²	semidirect
151. #388	C₂²	semidirect
152. #388	C₂²	semidirect
153. #388	C₂²	semidirect
154. #388	C₂²	semidirect
155. #388	C₂²	semidirect
156. #388	C₂²	semidirect
157. #388	C₂²	semidirect
158. #387	C₂²	semidirect
159. #387	C₂²	semidirect
160. #387	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
167. #386	C₂²	semidirect
168. #386	C₂²	semidirect
169. #386	C₂²	semidirect
170. #386	C₂²	semidirect
171. #386	C₂²	semidirect
172. #386	C₂²	semidirect
173. #386	C₂²	semidirect
174. #386	C₂²	semidirect
175. #386	C₂²	semidirect
176. #386	C₂²	semidirect
177. #385	C₂²	semidirect
178. #385	C₂²	semidirect
179. #381	C₂²	semidirect
180. #380	C₂²	semidirect
181. #379	C₂²	semidirect
182. #379	C₂²	semidirect
183. #379	C₂²	semidirect
184. #379	C₂²	semidirect
185. C₄×C₂²⋊C₄	C₂²	semidirect
186. C₄×C₂²⋊C₄	C₂²	semidirect
187. C₄×C₂²⋊C₄	C₂²	semidirect
188. C₄×C₂²⋊C₄	C₂²	semidirect
282. #121	D₄	semidirect
579. C₂×D₄	C₂×D₄	semidirect
603. C₂²×C₄	C₂×D₄	semidirect
637. C₄⋊C₄	C₂×D₄	semidirect
699. C₂²⋊C₄	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#560	2
C₂×D₄²	2
#2714	2
#2703	2
#2685	2
#2679	2
#2678	2
#2673	2
#2669	2
#2668	2
#2635	2
#2613	2
#2602	2
#2559	2
#2539	2
#2467	2
#2456	2
#2433	2
#2428	2
#2410	2
#2408	2
#2403	2
#2333	2