Subgroups — #43907

Order 256.

1634 conjugacy classes of subgroups.

The subgroup lattice has 963 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#537	C₂	1	1	yes	maximal, characteristic, complemented
5	#2683	C₂	1	1	yes	maximal, characteristic, complemented
6	#2682	C₂	1	1	yes	maximal, characteristic, complemented
7	#2681	C₂	1	1	yes	maximal, characteristic, complemented
8	#2678	C₂	1	1	yes	maximal, characteristic, complemented
9	#2676	C₂	1	1	yes	maximal, characteristic, complemented
10	#2675	C₂	1	1	yes	maximal, characteristic, complemented
11	#2674	C₂	1	1	yes	maximal, characteristic, complemented
12	#2672	C₂	1	1	yes	maximal, characteristic, complemented
13	#2539	C₂	1	1	yes	maximal, characteristic, complemented
14	#2461	C₂	1	1	yes	maximal, characteristic, complemented
15	#2456	C₂	1	1	yes	maximal, characteristic, complemented
16	#2452	C₂	1	1	yes	maximal, characteristic, complemented
17	#2449	C₂	1	1	yes	maximal, characteristic, complemented
18	#2437	C₂	1	1	yes	maximal, characteristic, complemented
19	#2430	C₂	1	1	yes	maximal, characteristic, complemented
20	#2425	C₂	1	1	yes	maximal, characteristic, complemented
21	#2424	C₂	1	1	yes	maximal, characteristic, complemented
22	#2424	C₂	1	1	yes	maximal, characteristic, complemented
23	#2424	C₂	1	1	yes	maximal, characteristic, complemented
24	#2416	C₂	1	1	yes	maximal, characteristic, complemented
25	#2416	C₂	1	1	yes	maximal, characteristic, complemented
26	#2410	C₂	1	1	yes	maximal, characteristic, complemented
27	#2406	C₂	1	1	yes	maximal, characteristic, complemented
28	#2404	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#396	C₂	1	1	yes	maximal, characteristic, complemented
30	#2361	C₂	1	1	yes	maximal, characteristic, complemented
31	#2322	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41	C₂²	1	1	yes	characteristic
33	C₂²×#41	C₂²	1	1	yes	characteristic
34	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
35	C₂³×D₄	C₂²	1	1	yes	characteristic
36	#547	—	2	8	no	—
37	#546	—	2	8	no	—
38	#546	—	2	8	no	—
39	#537	—	2	8	no	—
40	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×#124	C₂²	1	1	yes	characteristic
42	C₂×#124	C₂²	1	1	yes	characteristic
43	C₂×#123	C₂²	1	1	yes	characteristic
44	C₂×#123	C₂²	1	1	yes	characteristic
45	C₂×#123	C₂²	1	1	yes	characteristic
46	C₂×#123	C₂²	1	1	yes	characteristic
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×#123	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
59	C₂×#121	C₂²	1	1	yes	characteristic
60	C₂×#121	C₂²	1	1	yes	characteristic
61	C₂×#121	C₂²	1	1	yes	characteristic
62	C₂×#121	C₂²	1	1	yes	characteristic
63	C₂×#121	C₂²	1	1	yes	characteristic
64	C₂×#121	C₂²	1	1	yes	characteristic
65	C₂×#121	C₂²	1	1	yes	characteristic
66	C₂×#121	C₂²	1	1	yes	characteristic
67	C₂×#121	C₂²	1	1	yes	characteristic, complemented
68	C₂×#121	C₂²	1	1	yes	characteristic, complemented
69	C₂×#121	C₂²	1	1	yes	characteristic, complemented
70	C₂×#121	C₂²	1	1	yes	characteristic, complemented
71	C₂×#121	C₂²	1	1	yes	characteristic, complemented
72	C₂×#121	C₂²	1	1	yes	characteristic, complemented
73	C₂×#121	C₂²	1	1	yes	characteristic, complemented
74	C₂×#121	C₂²	1	1	yes	characteristic, complemented
75	C₂×#121	C₂²	1	1	yes	characteristic, complemented
76	C₂×#120	C₂²	1	1	yes	characteristic
77	C₂×#120	C₂²	1	1	yes	characteristic
78	C₂×#120	C₂²	1	1	yes	characteristic
79	C₂×#120	C₂²	1	1	yes	characteristic
80	C₂×#120	C₂²	1	1	yes	characteristic
81	C₂×#120	C₂²	1	1	yes	characteristic
82	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
83	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
84	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
85	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
86	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
89	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
90	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
91	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
92	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
93	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
94	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
95	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
96	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
97	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
98	#399	C₂²	1	1	yes	characteristic
99	#399	C₂²	1	1	yes	characteristic, complemented
100	#398	C₂²	1	1	yes	characteristic, complemented
101	#397	C₂²	1	1	yes	characteristic, complemented
102	#396	C₂²	1	1	yes	characteristic
103	#396	C₂²	1	1	yes	characteristic
104	#396	C₂²	1	1	yes	characteristic
105	#396	C₂²	1	1	yes	characteristic
106	#396	C₂²	1	1	yes	characteristic
107	#396	C₂²	1	1	yes	characteristic, complemented
108	#396	C₂²	1	1	yes	characteristic, complemented
109	#396	C₂²	1	1	yes	characteristic, complemented
110	#396	C₂²	1	1	yes	characteristic, complemented
111	#396	C₂²	1	1	yes	characteristic, complemented
112	#396	C₂²	1	1	yes	characteristic, complemented
113	#396	C₂²	1	1	yes	characteristic, complemented
114	#395	C₂²	1	1	yes	characteristic, complemented
115	#395	C₂²	1	1	yes	characteristic, complemented
116	#395	C₂²	1	1	yes	characteristic, complemented
117	#394	C₂²	1	1	yes	characteristic
118	#394	C₂²	1	1	yes	characteristic
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	#394	C₂²	1	1	yes	characteristic, complemented
123	#394	C₂²	1	1	yes	characteristic, complemented
124	#394	C₂²	1	1	yes	characteristic, complemented
125	#394	C₂²	1	1	yes	characteristic, complemented
126	#394	C₂²	1	1	yes	characteristic, complemented
127	#393	C₂²	1	1	yes	characteristic
128	#393	C₂²	1	1	yes	characteristic, complemented
129	#393	C₂²	1	1	yes	characteristic, complemented
130	#392	C₂²	1	1	yes	characteristic
131	#392	C₂²	1	1	yes	characteristic
132	#392	C₂²	1	1	yes	characteristic
133	#392	C₂²	1	1	yes	characteristic
134	#392	C₂²	1	1	yes	characteristic
135	#392	C₂²	1	1	yes	characteristic, complemented
136	#392	C₂²	1	1	yes	characteristic, complemented
137	#392	C₂²	1	1	yes	characteristic, complemented
138	#390	C₂²	1	1	yes	characteristic
139	#390	C₂²	1	1	yes	characteristic
140	#390	C₂²	1	1	yes	characteristic
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	#389	C₂²	1	1	yes	characteristic, complemented
146	#389	C₂²	1	1	yes	characteristic, complemented
147	#389	C₂²	1	1	yes	characteristic, complemented
148	#389	C₂²	1	1	yes	characteristic, complemented
149	#389	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	#387	C₂²	1	1	yes	characteristic, complemented
157	#387	C₂²	1	1	yes	characteristic, complemented
158	#386	C₂²	1	1	yes	characteristic
159	#386	C₂²	1	1	yes	characteristic
160	#386	C₂²	1	1	yes	characteristic
161	#386	C₂²	1	1	yes	characteristic
162	#386	C₂²	1	1	yes	characteristic
163	#386	C₂²	1	1	yes	characteristic
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	#385	C₂²	1	1	yes	characteristic
173	#385	C₂²	1	1	yes	characteristic, complemented
174	#385	C₂²	1	1	yes	characteristic, complemented
175	#385	C₂²	1	1	yes	characteristic, complemented
176	#385	C₂²	1	1	yes	characteristic, complemented
177	#385	C₂²	1	1	yes	characteristic, complemented
178	#385	C₂²	1	1	yes	characteristic, complemented
179	#385	C₂²	1	1	yes	characteristic, complemented
180	#385	C₂²	1	1	yes	characteristic, complemented
181	#385	C₂²	1	1	yes	characteristic, complemented
182	#385	C₂²	1	1	yes	characteristic, complemented
183	#385	C₂²	1	1	yes	characteristic, complemented
184	#381	C₂²	1	1	yes	characteristic, complemented
185	#380	C₂²	1	1	yes	characteristic, complemented
186	#380	C₂²	1	1	yes	characteristic, complemented
187	#379	C₂²	1	1	yes	characteristic
188	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
190	C₂×#95	C₂²	1	1	yes	characteristic, complemented
191	C₂⁵	C₂³	1	1	yes	characteristic
192	C₂⁵	C₂³	1	1	yes	characteristic
193	C₂×#41	—	2	4	no	—
194	C₂×#41	—	2	4	no	—
195	C₂×#41	—	2	4	no	—
196	C₂×#41	—	2	4	no	—
197	C₂×#41	—	2	4	no	—
198	C₂×#41	—	2	4	no	—
199	C₂×#41	—	4	2	no	—
200	C₂×#41	—	4	2	no	—
201	C₂×#41	—	4	2	no	—
202	C₂²×Q₈	C₂³	1	1	yes	characteristic
203	C₂²×Q₈	C₂³	1	1	yes	characteristic
204	C₂²×Q₈	C₂³	1	1	yes	characteristic
205	C₂²×D₄	—	2	4	no	—
206	C₂²×D₄	—	2	4	no	—
207	C₂²×D₄	—	4	2	no	—
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	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	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	C₂³×C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₄	C₂³	1	1	yes	characteristic
238	C₂³×C₄	C₂³	1	1	yes	characteristic
239	C₂³×C₄	C₂³	1	1	yes	characteristic
240	C₂³×C₄	C₂³	1	1	yes	characteristic
241	C₂³×C₄	C₂³	1	1	yes	characteristic
242	C₂³×C₄	C₂³	1	1	yes	characteristic
243	C₂³×C₄	C₂³	1	1	yes	characteristic
244	C₂³×C₄	C₂³	1	1	yes	characteristic
245	C₂³×C₄	C₂³	1	1	yes	characteristic
246	C₄⋊Q₈	—	2	4	no	—
247	#124	—	2	4	no	—
248	#124	—	2	4	no	—
249	#123	—	2	4	no	—
250	#123	—	2	4	no	—
251	#123	—	2	4	no	—
252	#123	—	2	4	no	—
253	#123	—	2	4	no	—
254	#123	—	2	4	no	—
255	#123	—	4	2	no	—
256	#123	D₄	1	8	yes	complemented
257	C₂²⋊Q₈	—	2	4	no	—
258	C₂²⋊Q₈	—	2	4	no	—
259	C₂²⋊Q₈	—	2	4	no	—
260	C₂²⋊Q₈	—	2	4	no	—
261	C₂²⋊Q₈	—	2	4	no	—
262	C₂²⋊Q₈	—	2	4	no	—
263	C₂²⋊Q₈	—	2	4	no	—
264	C₂²⋊Q₈	—	2	4	no	—
265	#121	—	2	4	no	—
266	#121	—	2	4	no	—
267	#121	—	2	4	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	—	2	4	no	—
277	#121	—	2	4	no	—
278	#121	—	2	4	no	—
279	#121	—	4	2	no	—
280	#121	—	4	2	no	—
281	#121	D₄	1	8	yes	complemented
282	#120	—	2	4	no	—
283	#120	—	2	4	no	—
284	#120	—	2	4	no	—
285	#120	—	2	4	no	—
286	#120	—	4	2	no	—
287	#120	—	4	2	no	—
288	C₄×D₄	—	2	4	no	—
289	C₄×D₄	—	2	4	no	—
290	C₄×D₄	—	2	4	no	—
291	C₄×D₄	—	2	4	no	—
292	C₄×D₄	—	2	4	no	—
293	C₄×D₄	—	2	4	no	—
294	C₄×D₄	—	4	2	no	—
295	C₂×C₄⋊C₄	—	2	4	no	—
296	C₂×C₄⋊C₄	—	2	4	no	—
297	C₂×C₄⋊C₄	—	2	4	no	—
298	C₂×C₄⋊C₄	—	4	2	no	—
299	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄	—	2	4	no	—
331	C₂×C₂²⋊C₄	—	2	4	no	—
332	C₂×C₂²⋊C₄	—	2	4	no	—
333	C₂×C₂²⋊C₄	—	2	4	no	—
334	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
384	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
385	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
386	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
387	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
388	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×C₄²	C₂³	1	1	yes	characteristic
390	C₂×C₄²	C₂³	1	1	yes	characteristic
391	C₂×C₄²	C₂³	1	1	yes	characteristic
392	C₂×C₄²	C₂³	1	1	yes	characteristic
393	C₂×C₄²	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	#95	C₂³	1	1	yes	characteristic
410	#95	C₂³	1	1	yes	characteristic
411	#95	C₂³	1	1	yes	characteristic
412	#95	C₂³	1	1	yes	characteristic
413	#95	C₂³	1	1	yes	characteristic
414	#95	C₂³	1	1	yes	characteristic
415	#95	C₂³	1	1	yes	characteristic
416	C₂⁴	—	2	2	no	—
417	C₂⁴	—	2	2	no	—
418	C₂⁴	—	2	2	no	—
419	C₂⁴	—	2	2	no	—
420	C₂⁴	—	2	2	no	—
421	C₂⁴	—	2	2	no	—
422	C₂⁴	—	2	2	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	C₂⁴	1	1	yes	characteristic
431	C₂⁴	C₂⁴	1	1	yes	characteristic
432	C₂⁴	C₂⁴	1	1	yes	characteristic
433	C₂⁴	C₂⁴	1	1	yes	characteristic
434	C₂⁴	C₂⁴	1	1	yes	characteristic
435	C₂⁴	C₂⁴	1	1	yes	characteristic
436	C₂⁴	C₂⁴	1	1	yes	characteristic
437	C₂⁴	C₂⁴	1	1	yes	characteristic
438	#41	—	4	16	no	—
439	#41	—	4	16	no	—
440	#41	—	4	16	no	—
441	C₂×Q₈	—	2	2	no	—
442	C₂×Q₈	—	2	2	no	—
443	C₂×Q₈	—	2	2	no	—
444	C₂×Q₈	—	2	2	no	—
445	C₂×Q₈	—	2	2	no	—
446	C₂×Q₈	—	2	2	no	—
447	C₂×Q₈	—	4	1	no	—
448	C₂×Q₈	—	4	1	no	—
449	C₂×Q₈	—	4	1	no	—
450	C₂×D₄	—	2	2	no	—
451	C₂×D₄	—	2	2	no	—
452	C₂×D₄	—	2	2	no	—
453	C₂×D₄	—	2	2	no	—
454	C₂×D₄	—	2	2	no	—
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	—	4	1	no	—
486	C₂×D₄	—	4	1	no	—
487	C₂×D₄	—	4	1	no	—
488	C₂×D₄	—	4	1	no	—
489	C₂×D₄	—	4	1	no	—
490	C₂×D₄	—	4	1	no	—
491	C₂×D₄	—	4	1	no	—
492	C₂×D₄	—	4	1	no	—
493	C₂×D₄	—	4	1	no	—
494	C₂×D₄	—	4	1	no	—
495	C₂×D₄	—	4	1	no	—
496	C₂×D₄	—	4	1	no	—
497	C₂×D₄	—	4	1	no	—
498	C₂×D₄	—	4	1	no	—
499	C₂×D₄	—	4	1	no	—
500	C₂×D₄	—	4	1	no	—
501	C₂×D₄	—	4	1	no	—
502	C₂×D₄	—	4	1	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	16	no	—
513	C₂×D₄	C₂×D₄	1	4	yes	—
514	C₂×D₄	C₂×D₄	1	4	yes	—
515	C₂×D₄	C₂×D₄	1	4	yes	—
516	C₂×D₄	C₂×D₄	1	4	yes	—
517	C₂²×C₄	—	2	2	no	—
518	C₂²×C₄	—	2	2	no	—
519	C₂²×C₄	—	2	2	no	—
520	C₂²×C₄	—	2	2	no	—
521	C₂²×C₄	—	2	2	no	—
522	C₂²×C₄	—	2	2	no	—
523	C₂²×C₄	—	2	2	no	—
524	C₂²×C₄	—	2	2	no	—
525	C₂²×C₄	—	2	2	no	—
526	C₂²×C₄	—	2	2	no	—
527	C₂²×C₄	—	2	2	no	—
528	C₂²×C₄	—	2	2	no	—
529	C₂²×C₄	—	2	2	no	—
530	C₂²×C₄	—	2	2	no	—
531	C₂²×C₄	—	2	2	no	—
532	C₂²×C₄	—	2	2	no	—
533	C₂²×C₄	—	2	2	no	—
534	C₂²×C₄	—	2	2	no	—
535	C₂²×C₄	—	2	2	no	—
536	C₂²×C₄	—	2	2	no	—
537	C₂²×C₄	—	2	2	no	—
538	C₂²×C₄	—	2	2	no	—
539	C₂²×C₄	—	2	2	no	—
540	C₂²×C₄	—	2	2	no	—
541	C₂²×C₄	—	2	2	no	—
542	C₂²×C₄	—	2	2	no	—
543	C₂²×C₄	—	2	2	no	—
544	C₂²×C₄	—	4	1	no	—
545	C₂²×C₄	—	4	1	no	—
546	C₂²×C₄	—	4	1	no	—
547	C₂²×C₄	—	4	1	no	—
548	C₂²×C₄	—	4	1	no	—
549	C₂²×C₄	—	4	1	no	—
550	C₂²×C₄	—	4	1	no	—
551	C₂²×C₄	—	4	1	no	—
552	C₂²×C₄	—	4	1	no	—
553	C₂²×C₄	—	4	1	no	—
554	C₂²×C₄	—	4	1	no	—
555	C₂²×C₄	—	4	1	no	—
556	C₂²×C₄	—	4	1	no	—
557	C₂²×C₄	—	4	1	no	—
558	C₂²×C₄	—	4	1	no	—
559	C₂²×C₄	—	4	1	no	—
560	C₂²×C₄	—	4	1	no	—
561	C₂²×C₄	—	4	1	no	—
562	C₂²×C₄	—	4	1	no	—
563	C₂²×C₄	C₂×D₄	1	4	yes	—
564	C₂²×C₄	C₂×D₄	1	4	yes	—
565	C₂²×C₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴	1	1	yes	characteristic
588	C₄⋊C₄	—	2	2	no	—
589	C₄⋊C₄	—	2	2	no	—
590	C₄⋊C₄	—	2	2	no	—
591	C₄⋊C₄	—	2	2	no	—
592	C₄⋊C₄	—	2	2	no	—
593	C₄⋊C₄	—	2	2	no	—
594	C₄⋊C₄	—	2	2	no	—
595	C₄⋊C₄	—	2	2	no	—
596	C₄⋊C₄	—	2	2	no	—
597	C₄⋊C₄	—	2	2	no	—
598	C₄⋊C₄	—	2	2	no	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	2	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	2	no	—
604	C₄⋊C₄	—	2	2	no	—
605	C₄⋊C₄	—	2	2	no	—
606	C₄⋊C₄	—	2	2	no	—
607	C₄⋊C₄	—	2	2	no	—
608	C₄⋊C₄	—	2	2	no	—
609	C₄⋊C₄	—	2	2	no	—
610	C₄⋊C₄	—	4	1	no	—
611	C₄⋊C₄	—	4	1	no	—
612	C₄⋊C₄	—	4	1	no	—
613	C₄⋊C₄	—	4	1	no	—
614	C₄⋊C₄	—	4	1	no	—
615	C₄⋊C₄	—	4	1	no	—
616	C₄⋊C₄	C₂×D₄	1	4	yes	—
617	C₄⋊C₄	C₂×D₄	1	4	yes	—
618	C₄⋊C₄	C₂×D₄	1	4	yes	—
619	C₂²⋊C₄	—	2	2	no	—
620	C₂²⋊C₄	—	2	2	no	—
621	C₂²⋊C₄	—	2	2	no	—
622	C₂²⋊C₄	—	2	2	no	—
623	C₂²⋊C₄	—	2	2	no	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	—	2	2	no	—
626	C₂²⋊C₄	—	2	2	no	—
627	C₂²⋊C₄	—	2	2	no	—
628	C₂²⋊C₄	—	2	2	no	—
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	2	2	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	2	2	no	—
634	C₂²⋊C₄	—	2	2	no	—
635	C₂²⋊C₄	—	2	2	no	—
636	C₂²⋊C₄	—	2	2	no	—
637	C₂²⋊C₄	—	2	2	no	—
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	—	4	1	no	—
655	C₂²⋊C₄	—	4	1	no	—
656	C₂²⋊C₄	—	4	1	no	—
657	C₂²⋊C₄	—	4	1	no	—
658	C₂²⋊C₄	—	4	1	no	—
659	C₂²⋊C₄	—	4	1	no	—
660	C₂²⋊C₄	—	4	1	no	—
661	C₂²⋊C₄	—	4	1	no	—
662	C₂²⋊C₄	—	4	1	no	—
663	C₂²⋊C₄	—	4	1	no	—
664	C₂²⋊C₄	—	4	1	no	—
665	C₂²⋊C₄	—	4	1	no	—
666	C₂²⋊C₄	—	4	1	no	—
667	C₂²⋊C₄	—	4	1	no	—
668	C₂²⋊C₄	C₂×D₄	1	4	yes	—
669	C₂²⋊C₄	C₂×D₄	1	4	yes	—
670	C₂²⋊C₄	C₂×D₄	1	4	yes	—
671	C₂²⋊C₄	C₂×D₄	1	4	yes	—
672	C₂²⋊C₄	C₂×D₄	1	4	yes	—
673	C₄²	—	2	2	no	—
674	C₄²	—	2	2	no	—
675	C₄²	—	2	2	no	—
676	C₄²	—	4	1	no	—
677	C₄²	—	4	1	no	—
678	C₂³	—	2	1	no	—
679	C₂³	—	2	1	no	—
680	C₂³	—	2	1	no	—
681	C₂³	—	2	1	no	—
682	C₂³	—	2	1	no	—
683	C₂³	—	2	1	no	—
684	C₂³	—	2	1	no	—
685	C₂³	—	2	1	no	—
686	C₂³	—	2	1	no	—
687	C₂³	—	2	1	no	—
688	C₂³	—	2	1	no	—
689	C₂³	—	2	1	no	—
690	C₂³	—	2	1	no	—
691	C₂³	—	2	1	no	—
692	C₂³	—	2	1	no	—
693	C₂³	—	2	1	no	—
694	C₂³	—	2	1	no	—
695	C₂³	—	2	1	no	—
696	C₂³	—	2	1	no	—
697	C₂³	—	2	1	no	—
698	C₂³	—	2	1	no	—
699	C₂³	—	2	1	no	—
700	C₂³	—	2	1	no	—
701	C₂³	—	2	1	no	—
702	C₂³	—	2	1	no	—
703	C₂³	—	2	1	no	—
704	C₂³	—	2	1	no	—
705	C₂³	—	2	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	—	4	4	no	—
728	C₂³	—	4	4	no	—
729	C₂³	—	4	4	no	—
730	C₂³	—	4	4	no	—
731	C₂³	—	4	4	no	—
732	C₂³	—	4	4	no	—
733	C₂³	—	4	4	no	—
734	C₂³	—	8	2	no	—
735	C₂³	—	8	2	no	—
736	C₂³	—	8	2	no	—
737	C₂³	—	8	2	no	—
738	C₂³	—	8	2	no	—
739	C₂³	—	8	2	no	—
740	C₂³	—	8	2	no	—
741	C₂³	C₂²×D₄	1	2	yes	—
742	C₂³	C₂²×D₄	1	2	yes	—
743	C₂³	C₂²×D₄	1	2	yes	—
744	C₂³	C₂²×D₄	1	2	yes	—
745	C₂³	C₂²×D₄	1	2	yes	—
746	C₂³	H(5,𝔽₂)	1	2	yes	—
747	C₂³	2₋¹⁺⁴	1	2	yes	—
748	C₂³	C₂⁵	1	1	yes	characteristic
749	Q₈	—	4	4	no	—
750	Q₈	—	4	4	no	—
751	Q₈	—	4	4	no	—
752	D₄	—	2	8	no	—
753	D₄	—	2	8	no	—
754	D₄	—	2	8	no	—
755	D₄	—	4	4	no	—
756	D₄	—	4	4	no	—
757	D₄	—	4	4	no	—
758	D₄	—	4	4	no	—
759	D₄	—	4	4	no	—
760	D₄	—	4	4	no	—
761	D₄	—	4	4	no	—
762	D₄	—	4	4	no	—
763	D₄	—	4	4	no	—
764	D₄	—	4	4	no	—
765	D₄	—	4	4	no	—
766	D₄	—	8	2	no	—
767	D₄	—	8	2	no	—
768	D₄	—	8	2	no	—
769	D₄	—	8	2	no	—
770	D₄	—	8	2	no	—
771	D₄	—	8	2	no	—
772	D₄	—	8	2	no	—
773	D₄	—	8	2	no	—
774	C₂×C₄	—	2	8	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	—	2	1	no	—
797	C₂×C₄	—	2	1	no	—
798	C₂×C₄	—	2	1	no	—
799	C₂×C₄	—	2	1	no	—
800	C₂×C₄	—	2	1	no	—
801	C₂×C₄	—	2	1	no	—
802	C₂×C₄	—	2	1	no	—
803	C₂×C₄	—	2	1	no	—
804	C₂×C₄	—	2	1	no	—
805	C₂×C₄	—	2	1	no	—
806	C₂×C₄	—	2	1	no	—
807	C₂×C₄	—	2	1	no	—
808	C₂×C₄	—	2	1	no	—
809	C₂×C₄	—	2	1	no	—
810	C₂×C₄	—	2	1	no	—
811	C₂×C₄	—	2	1	no	—
812	C₂×C₄	—	2	1	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	1	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	1	no	—
818	C₂×C₄	—	2	1	no	—
819	C₂×C₄	—	2	1	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	1	no	—
823	C₂×C₄	—	2	1	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	1	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	4	4	no	—
835	C₂×C₄	—	4	4	no	—
836	C₂×C₄	—	4	4	no	—
837	C₂×C₄	—	4	4	no	—
838	C₂×C₄	—	4	4	no	—
839	C₂×C₄	—	4	4	no	—
840	C₂×C₄	—	4	4	no	—
841	C₂×C₄	—	4	4	no	—
842	C₂×C₄	—	4	4	no	—
843	C₂×C₄	—	4	4	no	—
844	C₂×C₄	—	4	4	no	—
845	C₂×C₄	—	8	2	no	—
846	C₂×C₄	—	8	2	no	—
847	C₂×C₄	—	8	2	no	—
848	C₂×C₄	—	8	2	no	—
849	C₂×C₄	C₂²×D₄	1	2	yes	—
850	C₂×C₄	C₂²×D₄	1	2	yes	—
851	C₂×C₄	C₂²×D₄	1	2	yes	—
852	C₂×C₄	C₂²×D₄	1	2	yes	—
853	C₂×C₄	C₂²×D₄	1	2	yes	—
854	C₂×C₄	C₂²×D₄	1	2	yes	—
855	C₂×C₄	C₂²×D₄	1	2	yes	—
856	C₂×C₄	C₂²×D₄	1	2	yes	—
857	C₂×C₄	C₂²×D₄	1	2	yes	—
858	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
859	C₂²	—	2	2	no	—
860	C₂²	—	2	2	no	—
861	C₂²	—	2	2	no	—
862	C₂²	—	2	2	no	—
863	C₂²	—	2	2	no	—
864	C₂²	—	2	2	no	—
865	C₂²	—	2	2	no	—
866	C₂²	—	2	2	no	—
867	C₂²	—	2	2	no	—
868	C₂²	—	2	2	no	—
869	C₂²	—	2	2	no	—
870	C₂²	—	2	2	no	—
871	C₂²	—	2	2	no	—
872	C₂²	—	2	2	no	—
873	C₂²	—	2	2	no	—
874	C₂²	—	2	2	no	—
875	C₂²	—	2	2	no	—
876	C₂²	—	2	2	no	—
877	C₂²	—	4	1	no	—
878	C₂²	—	4	1	no	—
879	C₂²	—	4	1	no	—
880	C₂²	—	4	1	no	—
881	C₂²	—	4	1	no	—
882	C₂²	—	4	1	no	—
883	C₂²	—	4	1	no	—
884	C₂²	—	4	1	no	—
885	C₂²	—	4	1	no	—
886	C₂²	—	4	1	no	—
887	C₂²	—	4	1	no	—
888	C₂²	—	4	1	no	—
889	C₂²	—	4	1	no	—
890	C₂²	—	4	1	no	—
891	C₂²	—	4	1	no	—
892	C₂²	—	4	1	no	—
893	C₂²	—	4	1	no	—
894	C₂²	—	4	1	no	—
895	C₂²	—	4	1	no	—
896	C₂²	—	4	1	no	—
897	C₂²	—	4	1	no	—
898	C₂²	—	4	1	no	—
899	C₂²	—	4	1	no	—
900	C₂²	—	4	1	no	—
901	C₂²	—	4	1	no	—
902	C₂²	—	4	1	no	—
903	C₂²	—	4	1	no	—
904	C₂²	—	4	1	no	—
905	C₂²	—	4	1	no	—
906	C₂²	—	4	1	no	—
907	C₂²	—	4	1	no	—
908	C₂²	—	4	1	no	—
909	C₂²	—	4	1	no	—
910	C₂²	—	4	1	no	—
911	C₂²	—	4	1	no	—
912	C₂²	—	4	1	no	—
913	C₂²	—	4	1	no	—
914	C₂²	—	8	8	no	—
915	C₂²	—	8	8	no	—
916	C₂²	D₄²	1	4	yes	—
917	C₂²	C₂³×D₄	1	1	yes	characteristic
918	C₂²	C₂³×D₄	1	1	yes	characteristic
919	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
920	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
921	C₂²	C₂×2₋¹⁺⁴	1	1	yes	characteristic
922	C₂²	#585	1	1	yes	characteristic
923	C₂²	#585	1	1	yes	characteristic
924	C₄	—	2	2	no	—
925	C₄	—	2	2	no	—
926	C₄	—	2	2	no	—
927	C₄	—	2	2	no	—
928	C₄	—	2	2	no	—
929	C₄	—	2	2	no	—
930	C₄	—	2	2	no	—
931	C₄	—	2	2	no	—
932	C₄	—	2	2	no	—
933	C₄	—	2	2	no	—
934	C₄	—	4	1	no	—
935	C₄	—	4	1	no	—
936	C₄	—	4	1	no	—
937	C₄	—	4	1	no	—
938	C₄	—	4	1	no	—
939	C₄	—	4	1	no	—
940	C₄	—	4	1	no	—
941	C₄	—	4	1	no	—
942	C₄	—	4	1	no	—
943	C₄	—	4	1	no	—
944	C₄	—	4	1	no	—
945	C₄	—	4	1	no	—
946	C₄	—	4	1	no	—
947	C₂	—	2	4	no	—
948	C₂	—	4	2	no	—
949	C₂	—	4	2	no	—
950	C₂	—	4	2	no	—
951	C₂	—	4	2	no	—
952	C₂	—	8	1	no	—
953	C₂	—	8	1	no	—
954	C₂	—	8	1	no	—
955	C₂	C₂×D₄²	1	1	yes	characteristic
956	C₂	#3488	1	1	yes	characteristic
957	C₂	#3489	1	1	yes	characteristic
958	C₂	#3489	1	1	yes	characteristic
959	C₂	#3496	1	1	yes	characteristic
960	C₂	#3536	1	1	yes	characteristic
961	C₂	#3560	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×#547	C₂	semidirect
2. C₂×#546	C₂	semidirect
3. C₂×#546	C₂	semidirect
4. C₂×#537	C₂	semidirect
5. #2683	C₂	semidirect
6. #2682	C₂	semidirect
7. #2681	C₂	semidirect
8. #2678	C₂	semidirect
9. #2676	C₂	semidirect
10. #2675	C₂	semidirect
11. #2674	C₂	semidirect
12. #2672	C₂	semidirect
13. #2539	C₂	semidirect
14. #2461	C₂	semidirect
15. #2456	C₂	semidirect
16. #2452	C₂	semidirect
17. #2449	C₂	semidirect
18. #2437	C₂	semidirect
19. #2430	C₂	semidirect
20. #2425	C₂	semidirect
21. #2424	C₂	semidirect
22. #2424	C₂	semidirect
23. #2424	C₂	semidirect
24. #2416	C₂	semidirect
25. #2416	C₂	semidirect
26. #2410	C₂	semidirect
27. #2406	C₂	semidirect
28. #2404	C₂	semidirect
29. C₂×#396	C₂	semidirect
30. #2361	C₂	semidirect
31. #2322	C₂	semidirect
34. C₂²×#41	C₂²	semidirect
40. C₂×C₄⋊Q₈	C₂²	semidirect
47. C₂×#123	C₂²	semidirect
48. C₂×#123	C₂²	semidirect
49. C₂×#123	C₂²	semidirect
50. C₂×#123	C₂²	semidirect
53. C₂×C₂²⋊Q₈	C₂²	semidirect
54. C₂×C₂²⋊Q₈	C₂²	semidirect
55. C₂×C₂²⋊Q₈	C₂²	semidirect
56. C₂×C₂²⋊Q₈	C₂²	semidirect
57. C₂×C₂²⋊Q₈	C₂²	semidirect
58. C₂×C₂²⋊Q₈	C₂²	semidirect
67. C₂×#121	C₂²	semidirect
68. C₂×#121	C₂²	semidirect
69. C₂×#121	C₂²	semidirect
70. C₂×#121	C₂²	semidirect
71. C₂×#121	C₂²	semidirect
72. C₂×#121	C₂²	semidirect
73. C₂×#121	C₂²	semidirect
74. C₂×#121	C₂²	semidirect
75. C₂×#121	C₂²	semidirect
86. C₂×C₄×D₄	C₂²	semidirect
87. C₂×C₄×D₄	C₂²	semidirect
88. C₂×C₄×D₄	C₂²	semidirect
89. C₂²×C₄⋊C₄	C₂²	semidirect
90. C₂²×C₄⋊C₄	C₂²	semidirect
91. C₂²×C₄⋊C₄	C₂²	semidirect
92. C₂²×C₄⋊C₄	C₂²	semidirect
99. #399	C₂²	semidirect
100. #398	C₂²	semidirect
101. #397	C₂²	semidirect
107. #396	C₂²	semidirect
108. #396	C₂²	semidirect
109. #396	C₂²	semidirect
110. #396	C₂²	semidirect
111. #396	C₂²	semidirect
112. #396	C₂²	semidirect
113. #396	C₂²	semidirect
114. #395	C₂²	semidirect
115. #395	C₂²	semidirect
116. #395	C₂²	semidirect
119. #394	C₂²	semidirect
120. #394	C₂²	semidirect
121. #394	C₂²	semidirect
122. #394	C₂²	semidirect
123. #394	C₂²	semidirect
124. #394	C₂²	semidirect
125. #394	C₂²	semidirect
126. #394	C₂²	semidirect
128. #393	C₂²	semidirect
129. #393	C₂²	semidirect
135. #392	C₂²	semidirect
136. #392	C₂²	semidirect
137. #392	C₂²	semidirect
141. #390	C₂²	semidirect
142. #390	C₂²	semidirect
143. #390	C₂²	semidirect
144. #390	C₂²	semidirect
145. #389	C₂²	semidirect
146. #389	C₂²	semidirect
147. #389	C₂²	semidirect
148. #389	C₂²	semidirect
149. #389	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. #387	C₂²	semidirect
157. #387	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
173. #385	C₂²	semidirect
174. #385	C₂²	semidirect
175. #385	C₂²	semidirect
176. #385	C₂²	semidirect
177. #385	C₂²	semidirect
178. #385	C₂²	semidirect
179. #385	C₂²	semidirect
180. #385	C₂²	semidirect
181. #385	C₂²	semidirect
182. #385	C₂²	semidirect
183. #385	C₂²	semidirect
184. #381	C₂²	semidirect
185. #380	C₂²	semidirect
186. #380	C₂²	semidirect
188. C₄×C₄⋊C₄	C₂²	semidirect
189. C₄×C₂²⋊C₄	C₂²	semidirect
190. C₂×#95	C₂²	semidirect
256. #123	D₄	semidirect
281. #121	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#547	2
C₂×#546	2
C₂×#537	2
#2683	2
#2682	2
#2681	2
#2678	2
#2676	2
#2675	2
#2674	2
#2672	2
#2539	2
#2461	2
#2456	2
#2452	2
#2449	2
#2437	2
#2430	2
#2425	2
#2424	2
#2416	2
#2410	2
#2406	2
#2404	2
C₂×#396	2
#2361	2
#2322	2