Subgroups — #6408118

Order 512.

2374 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34632	C₂	1	1	yes	maximal, characteristic
2	#23313	C₂	1	1	yes	maximal, characteristic, complemented
3	#23313	C₂	1	1	yes	maximal, characteristic, complemented
4	#23310	C₂	1	1	yes	maximal, characteristic, complemented
5	#23310	C₂	1	1	yes	maximal, characteristic, complemented
6	#22853	C₂	1	1	yes	maximal, characteristic, complemented
7	#22851	C₂	1	1	yes	maximal, characteristic, complemented
8	#22845	C₂	1	1	yes	maximal, characteristic, complemented
9	#22843	C₂	1	1	yes	maximal, characteristic, complemented
10	#22559	C₂	1	1	yes	maximal, characteristic, complemented
11	#22559	C₂	1	1	yes	maximal, characteristic, complemented
12	#22558	C₂	1	1	yes	maximal, characteristic, complemented
13	#22558	C₂	1	1	yes	maximal, characteristic, complemented
14	#22400	C₂	1	1	yes	maximal, characteristic, complemented
15	#22400	C₂	1	1	yes	maximal, characteristic, complemented
16	#22398	C₂	1	1	yes	maximal, characteristic, complemented
17	#22398	C₂	1	1	yes	maximal, characteristic, complemented
18	#22039	C₂	1	1	yes	maximal, characteristic, complemented
19	#22039	C₂	1	1	yes	maximal, characteristic, complemented
20	#22037	C₂	1	1	yes	maximal, characteristic, complemented
21	#22037	C₂	1	1	yes	maximal, characteristic, complemented
22	#22035	C₂	1	1	yes	maximal, characteristic, complemented
23	#22033	C₂	1	1	yes	maximal, characteristic, complemented
24	#22031	C₂	1	1	yes	maximal, characteristic, complemented
25	#22029	C₂	1	1	yes	maximal, characteristic, complemented
26	#21910	C₂	1	1	yes	maximal, characteristic, complemented
27	#21908	C₂	1	1	yes	maximal, characteristic, complemented
28	#21792	C₂	1	1	yes	maximal, characteristic, complemented
29	#21744	C₂	1	1	yes	maximal, characteristic, complemented
30	#20581	C₂	1	1	yes	maximal, characteristic, complemented
31	#20581	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×#41	C₂²	1	1	yes	characteristic
33	C₂×#525	C₂²	1	1	yes	characteristic
34	C₂×#525	C₂²	1	1	yes	characteristic
35	C₂×#525	C₂²	1	1	yes	characteristic
36	C₂×#436	C₂²	1	1	yes	characteristic, complemented
37	C₂×#436	C₂²	1	1	yes	characteristic, complemented
38	C₂×#435	C₂²	1	1	yes	characteristic, complemented
39	C₂×#435	C₂²	1	1	yes	characteristic, complemented
40	C₂×#435	C₂²	1	1	yes	characteristic, complemented
41	C₂×#435	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
44	C₂×#433	C₂²	1	1	yes	characteristic
45	C₂×#433	C₂²	1	1	yes	characteristic
46	C₂×#408	C₂²	1	1	yes	characteristic
47	C₂×#408	C₂²	1	1	yes	characteristic
48	C₂×#408	C₂²	1	1	yes	characteristic
49	C₂×#408	C₂²	1	1	yes	characteristic
50	C₂×#408	C₂²	1	1	yes	characteristic
51	C₂×#408	C₂²	1	1	yes	characteristic
52	C₂×#408	C₂²	1	1	yes	characteristic
53	C₂×#408	C₂²	1	1	yes	characteristic
54	C₂×#408	C₂²	1	1	yes	characteristic
55	C₂×#408	C₂²	1	1	yes	characteristic
56	C₂×#407	C₂²	1	1	yes	characteristic
57	C₂×#407	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
60	#2616	C₄	1	1	yes	characteristic
61	#2616	C₄	1	1	yes	characteristic
62	#2616	C₄	1	1	yes	characteristic
63	#2616	C₄	1	1	yes	characteristic
64	#2615	C₄	1	1	yes	characteristic
65	#2615	C₄	1	1	yes	characteristic
66	#2615	C₄	1	1	yes	characteristic
67	#2615	C₄	1	1	yes	characteristic
68	#2614	C₄	1	1	yes	characteristic
69	#2614	C₄	1	1	yes	characteristic
70	#2613	C₄	1	1	yes	characteristic
71	#2613	C₄	1	1	yes	characteristic
72	#2613	C₄	1	1	yes	characteristic
73	#2613	C₄	1	1	yes	characteristic
74	#2613	C₄	1	1	yes	characteristic
75	#2613	C₄	1	1	yes	characteristic
76	#2388	C₂²	1	1	yes	characteristic
77	#2388	C₂²	1	1	yes	characteristic
78	#2388	C₂²	1	1	yes	characteristic
79	#2388	C₂²	1	1	yes	characteristic
80	#2388	C₂²	1	1	yes	characteristic
81	#2388	C₂²	1	1	yes	characteristic
82	#2388	C₂²	1	1	yes	characteristic
83	#2388	C₂²	1	1	yes	characteristic
84	#2280	C₂²	1	1	yes	characteristic
85	#2280	C₂²	1	1	yes	characteristic
86	#2280	C₂²	1	1	yes	characteristic
87	#1955	C₂²	1	1	yes	characteristic, complemented
88	#1955	C₂²	1	1	yes	characteristic, complemented
89	#1955	C₂²	1	1	yes	characteristic, complemented
90	#1955	C₂²	1	1	yes	characteristic, complemented
91	#1955	C₂²	1	1	yes	characteristic, complemented
92	#1955	C₂²	1	1	yes	characteristic, complemented
93	#1955	C₂²	1	1	yes	characteristic, complemented
94	#1955	C₂²	1	1	yes	characteristic, complemented
95	#1954	C₂²	1	1	yes	characteristic, complemented
96	#1954	C₂²	1	1	yes	characteristic, complemented
97	#1954	C₂²	1	1	yes	characteristic, complemented
98	#1954	C₂²	1	1	yes	characteristic, complemented
99	#1954	C₂²	1	1	yes	characteristic, complemented
100	#1954	C₂²	1	1	yes	characteristic, complemented
101	#1954	C₂²	1	1	yes	characteristic, complemented
102	#1954	C₂²	1	1	yes	characteristic, complemented
103	#1924	C₂²	1	1	yes	characteristic, complemented
104	#1924	C₂²	1	1	yes	characteristic, complemented
105	#1924	C₂²	1	1	yes	characteristic, complemented
106	#1924	C₂²	1	1	yes	characteristic, complemented
107	#1924	C₂²	1	1	yes	characteristic, complemented
108	#1924	C₂²	1	1	yes	characteristic, complemented
109	#1924	C₂²	1	1	yes	characteristic, complemented
110	#1924	C₂²	1	1	yes	characteristic, complemented
111	#1924	C₂²	1	1	yes	characteristic, complemented
112	#1924	C₂²	1	1	yes	characteristic, complemented
113	#1924	C₂²	1	1	yes	characteristic, complemented
114	#1924	C₂²	1	1	yes	characteristic, complemented
115	#1924	C₂²	1	1	yes	characteristic, complemented
116	#1924	C₂²	1	1	yes	characteristic, complemented
117	#1924	C₂²	1	1	yes	characteristic, complemented
118	#1924	C₂²	1	1	yes	characteristic, complemented
119	#1923	C₂²	1	1	yes	characteristic, complemented
120	#1923	C₂²	1	1	yes	characteristic, complemented
121	#1923	C₂²	1	1	yes	characteristic, complemented
122	#1923	C₂²	1	1	yes	characteristic, complemented
123	#1923	C₂²	1	1	yes	characteristic, complemented
124	#1923	C₂²	1	1	yes	characteristic, complemented
125	#1923	C₂²	1	1	yes	characteristic, complemented
126	#1923	C₂²	1	1	yes	characteristic, complemented
127	#1923	C₂²	1	1	yes	characteristic, complemented
128	#1923	C₂²	1	1	yes	characteristic, complemented
129	#1923	C₂²	1	1	yes	characteristic, complemented
130	#1923	C₂²	1	1	yes	characteristic, complemented
131	#1923	C₂²	1	1	yes	characteristic, complemented
132	#1923	C₂²	1	1	yes	characteristic, complemented
133	#1923	C₂²	1	1	yes	characteristic, complemented
134	#1923	C₂²	1	1	yes	characteristic, complemented
135	#1870	C₂²	1	1	yes	characteristic, complemented
136	#1870	C₂²	1	1	yes	characteristic, complemented
137	#1870	C₂²	1	1	yes	characteristic, complemented
138	#1870	C₂²	1	1	yes	characteristic, complemented
139	#1870	C₂²	1	1	yes	characteristic, complemented
140	#1870	C₂²	1	1	yes	characteristic, complemented
141	#1870	C₂²	1	1	yes	characteristic, complemented
142	#1870	C₂²	1	1	yes	characteristic, complemented
143	#1870	C₂²	1	1	yes	characteristic, complemented
144	#1870	C₂²	1	1	yes	characteristic, complemented
145	#1870	C₂²	1	1	yes	characteristic, complemented
146	#1870	C₂²	1	1	yes	characteristic, complemented
147	#1869	C₂²	1	1	yes	characteristic, complemented
148	#1869	C₂²	1	1	yes	characteristic, complemented
149	#1869	C₂²	1	1	yes	characteristic, complemented
150	#1869	C₂²	1	1	yes	characteristic, complemented
151	#1869	C₂²	1	1	yes	characteristic, complemented
152	#1869	C₂²	1	1	yes	characteristic, complemented
153	#1869	C₂²	1	1	yes	characteristic, complemented
154	#1869	C₂²	1	1	yes	characteristic, complemented
155	#1869	C₂²	1	1	yes	characteristic, complemented
156	#1869	C₂²	1	1	yes	characteristic, complemented
157	#1869	C₂²	1	1	yes	characteristic, complemented
158	#1869	C₂²	1	1	yes	characteristic, complemented
159	#1851	C₂²	1	1	yes	characteristic, complemented
160	#1851	C₂²	1	1	yes	characteristic, complemented
161	#1851	C₂²	1	1	yes	characteristic, complemented
162	#1851	C₂²	1	1	yes	characteristic, complemented
163	#1850	C₂²	1	1	yes	characteristic, complemented
164	#1850	C₂²	1	1	yes	characteristic, complemented
165	#1850	C₂²	1	1	yes	characteristic, complemented
166	#1850	C₂²	1	1	yes	characteristic, complemented
167	#1818	C₂²	1	1	yes	characteristic
168	#1818	C₂²	1	1	yes	characteristic
169	#1798	C₂²	1	1	yes	characteristic
170	#1798	C₂²	1	1	yes	characteristic
171	#1798	C₂²	1	1	yes	characteristic
172	#1798	C₂²	1	1	yes	characteristic
173	#1780	C₂²	1	1	yes	characteristic
174	#1780	C₂²	1	1	yes	characteristic
175	#1780	C₂²	1	1	yes	characteristic
176	#1780	C₂²	1	1	yes	characteristic
177	#1780	C₂²	1	1	yes	characteristic
178	#1780	C₂²	1	1	yes	characteristic
179	#1780	C₂²	1	1	yes	characteristic
180	#1780	C₂²	1	1	yes	characteristic
181	#1780	C₂²	1	1	yes	characteristic
182	#1780	C₂²	1	1	yes	characteristic
183	#1779	C₂²	1	1	yes	characteristic
184	#1779	C₂²	1	1	yes	characteristic
185	#1779	C₂²	1	1	yes	characteristic
186	#1779	C₂²	1	1	yes	characteristic
187	#1779	C₂²	1	1	yes	characteristic
188	#1779	C₂²	1	1	yes	characteristic
189	#1779	C₂²	1	1	yes	characteristic
190	#1779	C₂²	1	1	yes	characteristic
191	#1753	C₂²	1	1	yes	characteristic, complemented
192	#1753	C₂²	1	1	yes	characteristic, complemented
193	#1753	C₂²	1	1	yes	characteristic, complemented
194	#1753	C₂²	1	1	yes	characteristic, complemented
195	#1752	C₂²	1	1	yes	characteristic, complemented
196	#1752	C₂²	1	1	yes	characteristic, complemented
197	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
198	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
199	#1750	C₂²	1	1	yes	characteristic
200	#1750	C₂²	1	1	yes	characteristic
201	#1750	C₂²	1	1	yes	characteristic
202	#1750	C₂²	1	1	yes	characteristic
203	C₂²×#41	—	4	2	no	—
204	C₂²×#41	—	4	2	no	—
205	C₂²×#41	—	4	2	no	—
206	C₂²×#41	—	4	2	no	—
207	C₂²×#41	—	4	2	no	—
208	C₂²×#41	—	4	2	no	—
209	C₂²×#41	C₂×C₄	1	1	yes	characteristic
210	C₂²×#41	C₂×C₄	1	1	yes	characteristic
211	C₂²×#41	C₂×C₄	1	1	yes	characteristic
212	C₂²×#41	C₂×C₄	1	1	yes	characteristic
213	C₂²×#41	C₂³	1	1	yes	characteristic
214	C₂²×#41	C₂³	1	1	yes	characteristic
215	C₂²×#41	C₂³	1	1	yes	characteristic
216	C₂²×#41	C₂³	1	1	yes	characteristic
217	C₂²×#41	C₂³	1	1	yes	characteristic
218	C₂³×Q₈	C₂×C₄	1	1	yes	characteristic
219	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
220	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
221	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
222	C₂⁴×C₄	C₂³	1	1	yes	characteristic
223	C₂⁴×C₄	C₂³	1	1	yes	characteristic
224	C₂⁴×C₄	C₂³	1	1	yes	characteristic
225	C₂²×M₁₆	C₂³	1	1	yes	characteristic
226	C₂²×M₁₆	C₂³	1	1	yes	characteristic
227	C₂²×M₁₆	C₂³	1	1	yes	characteristic
228	C₂²×M₁₆	C₂³	1	1	yes	characteristic
229	C₂²×M₁₆	C₂³	1	1	yes	characteristic
230	C₂²×M₁₆	C₂³	1	1	yes	characteristic
231	C₂³×C₈	C₂³	1	1	yes	characteristic
232	C₂³×C₈	C₂³	1	1	yes	characteristic
233	C₂³×C₈	C₂³	1	1	yes	characteristic
234	C₂³×C₈	C₂³	1	1	yes	characteristic
235	C₂³×C₈	C₂³	1	1	yes	characteristic
236	C₂³×C₈	C₂³	1	1	yes	characteristic
237	#525	—	4	2	no	—
238	#525	—	4	2	no	—
239	#525	—	4	2	no	—
240	#525	—	4	2	no	—
241	#525	—	4	2	no	—
242	#525	—	4	2	no	—
243	C₂×#123	C₂×C₄	1	1	yes	characteristic
244	C₂×#123	C₂×C₄	1	1	yes	characteristic
245	C₂×#123	C₂×C₄	1	1	yes	characteristic
246	C₂×#123	C₂×C₄	1	1	yes	characteristic
247	C₂×#123	C₂×C₄	1	1	yes	characteristic
248	C₂×#123	C₂×C₄	1	1	yes	characteristic
249	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
250	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
251	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
252	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
253	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
254	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
255	C₂×#121	C₂×C₄	1	1	yes	characteristic
256	C₂×#121	C₂×C₄	1	1	yes	characteristic
257	C₂×#121	C₂×C₄	1	1	yes	characteristic
258	C₂×#121	C₂×C₄	1	1	yes	characteristic
259	C₂×#121	C₂×C₄	1	1	yes	characteristic
260	C₂×#121	C₂×C₄	1	1	yes	characteristic
261	C₂×#120	C₂×C₄	1	1	yes	characteristic
262	C₂×#120	C₂×C₄	1	1	yes	characteristic
263	C₂×#120	C₂×C₄	1	1	yes	characteristic
264	C₂×#120	C₂×C₄	1	1	yes	characteristic
265	C₂×#120	C₂×C₄	1	1	yes	characteristic
266	C₂×#120	C₂×C₄	1	1	yes	characteristic
267	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
271	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
272	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
273	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
275	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
276	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
277	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
278	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
279	C₂×#117	C₂³	1	1	yes	characteristic
280	C₂×#117	C₂³	1	1	yes	characteristic
281	C₂×#117	C₂³	1	1	yes	characteristic
282	#436	—	4	2	no	—
283	#436	—	4	2	no	—
284	#435	—	4	2	no	—
285	#435	—	4	2	no	—
286	#435	—	4	2	no	—
287	#435	—	4	2	no	—
288	C₈×D₄	—	4	2	no	—
289	C₈×D₄	—	4	2	no	—
290	#433	—	4	2	no	—
291	#433	—	4	2	no	—
292	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	#408	—	4	2	no	—
305	#408	—	4	2	no	—
306	#408	—	4	2	no	—
307	#408	—	4	2	no	—
308	#408	—	4	2	no	—
309	#408	—	4	2	no	—
310	#408	—	4	2	no	—
311	#408	—	4	2	no	—
312	#408	—	4	2	no	—
313	#408	—	4	2	no	—
314	#407	—	4	2	no	—
315	#407	—	4	2	no	—
316	C₂×C₂²⋊C₈	—	4	2	no	—
317	C₂×C₂²⋊C₈	—	4	2	no	—
318	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
378	C₂×#97	C₂³	1	1	yes	characteristic
379	C₂×#97	C₂³	1	1	yes	characteristic
380	C₂×#97	C₂³	1	1	yes	characteristic
381	C₂×#97	C₂³	1	1	yes	characteristic
382	C₂×#97	C₂³	1	1	yes	characteristic
383	C₂×#97	C₂³	1	1	yes	characteristic
384	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
385	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
386	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
387	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
388	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
389	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
390	#395	C₂×C₄	1	1	yes	characteristic
391	#395	C₂×C₄	1	1	yes	characteristic
392	#395	C₂×C₄	1	1	yes	characteristic
393	#395	C₂×C₄	1	1	yes	characteristic
394	#395	C₂×C₄	1	1	yes	characteristic
395	#395	C₂×C₄	1	1	yes	characteristic
396	#395	C₂×C₄	1	1	yes	characteristic
397	#395	C₂×C₄	1	1	yes	characteristic
398	#394	C₂×C₄	1	1	yes	characteristic
399	#394	C₂×C₄	1	1	yes	characteristic
400	#394	C₂×C₄	1	1	yes	characteristic
401	#394	C₂×C₄	1	1	yes	characteristic
402	#394	C₂×C₄	1	1	yes	characteristic
403	#394	C₂×C₄	1	1	yes	characteristic
404	#394	C₂×C₄	1	1	yes	characteristic
405	#394	C₂×C₄	1	1	yes	characteristic
406	#394	C₂×C₄	1	1	yes	characteristic
407	#394	C₂×C₄	1	1	yes	characteristic
408	#394	C₂×C₄	1	1	yes	characteristic
409	#394	C₂×C₄	1	1	yes	characteristic
410	#394	C₂×C₄	1	1	yes	characteristic
411	#394	C₂×C₄	1	1	yes	characteristic
412	#394	C₂×C₄	1	1	yes	characteristic
413	#394	C₂×C₄	1	1	yes	characteristic
414	#394	C₂×C₄	1	1	yes	characteristic
415	#394	C₂×C₄	1	1	yes	characteristic
416	#394	C₂×C₄	1	1	yes	characteristic
417	#394	C₂×C₄	1	1	yes	characteristic
418	#394	C₂×C₄	1	1	yes	characteristic
419	#394	C₂×C₄	1	1	yes	characteristic
420	#394	C₂×C₄	1	1	yes	characteristic
421	#394	C₂×C₄	1	1	yes	characteristic
422	#393	C₂×C₄	1	1	yes	characteristic
423	#393	C₂×C₄	1	1	yes	characteristic
424	#393	C₂×C₄	1	1	yes	characteristic
425	#393	C₂×C₄	1	1	yes	characteristic
426	#393	C₂×C₄	1	1	yes	characteristic
427	#393	C₂×C₄	1	1	yes	characteristic
428	#393	C₂×C₄	1	1	yes	characteristic
429	#393	C₂×C₄	1	1	yes	characteristic
430	#392	C₂×C₄	1	1	yes	characteristic
431	#392	C₂×C₄	1	1	yes	characteristic
432	#392	C₂×C₄	1	1	yes	characteristic
433	#392	C₂×C₄	1	1	yes	characteristic
434	#392	C₂×C₄	1	1	yes	characteristic
435	#392	C₂×C₄	1	1	yes	characteristic
436	#392	C₂×C₄	1	1	yes	characteristic
437	#392	C₂×C₄	1	1	yes	characteristic
438	#392	C₂×C₄	1	1	yes	characteristic
439	#392	C₂×C₄	1	1	yes	characteristic
440	#392	C₂×C₄	1	1	yes	characteristic
441	#392	C₂×C₄	1	1	yes	characteristic
442	#392	C₂×C₄	1	1	yes	characteristic
443	#392	C₂×C₄	1	1	yes	characteristic
444	#392	C₂×C₄	1	1	yes	characteristic
445	#392	C₂×C₄	1	1	yes	characteristic
446	#392	C₂×C₄	1	1	yes	characteristic
447	#392	C₂×C₄	1	1	yes	characteristic
448	#392	C₂×C₄	1	1	yes	characteristic
449	#392	C₂×C₄	1	1	yes	characteristic
450	#392	C₂×C₄	1	1	yes	characteristic
451	#392	C₂×C₄	1	1	yes	characteristic
452	#392	C₂×C₄	1	1	yes	characteristic
453	#392	C₂×C₄	1	1	yes	characteristic
454	#381	C₂×C₄	1	1	yes	characteristic
455	#381	C₂×C₄	1	1	yes	characteristic
456	#381	C₂×C₄	1	1	yes	characteristic
457	#381	C₂×C₄	1	1	yes	characteristic
458	#381	C₂×C₄	1	1	yes	characteristic
459	#381	C₂×C₄	1	1	yes	characteristic
460	#380	C₂×C₄	1	1	yes	characteristic
461	#380	C₂×C₄	1	1	yes	characteristic
462	#380	C₂×C₄	1	1	yes	characteristic
463	#380	C₂×C₄	1	1	yes	characteristic
464	#380	C₂×C₄	1	1	yes	characteristic
465	#380	C₂×C₄	1	1	yes	characteristic
466	#380	C₂×C₄	1	1	yes	characteristic
467	#380	C₂×C₄	1	1	yes	characteristic
468	#380	C₂×C₄	1	1	yes	characteristic
469	#380	C₂×C₄	1	1	yes	characteristic
470	#380	C₂×C₄	1	1	yes	characteristic
471	#380	C₂×C₄	1	1	yes	characteristic
472	#379	C₂×C₄	1	1	yes	characteristic
473	#379	C₂×C₄	1	1	yes	characteristic
474	#379	C₂×C₄	1	1	yes	characteristic
475	#379	C₂×C₄	1	1	yes	characteristic
476	#379	C₂×C₄	1	1	yes	characteristic
477	#379	C₂×C₄	1	1	yes	characteristic
478	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
479	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
480	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
481	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
482	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
483	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
484	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
485	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
486	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
487	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
488	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
489	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	C₂⁵	C₂²×C₄	1	1	yes	characteristic
515	C₂⁵	C₂²×C₄	1	1	yes	characteristic
516	C₂⁵	C₂²×C₄	1	1	yes	characteristic
517	C₂×#41	—	2	2	no	—
518	C₂×#41	—	2	2	no	—
519	C₂×#41	—	2	2	no	—
520	C₂×#41	—	2	2	no	—
521	C₂×#41	—	2	2	no	—
522	C₂×#41	—	2	2	no	—
523	C₂×#41	—	2	2	no	—
524	C₂×#41	—	2	2	no	—
525	C₂×#41	—	2	2	no	—
526	C₂×#41	—	2	2	no	—
527	C₂×#41	—	4	2	no	—
528	C₂×#41	—	4	2	no	—
529	C₂×#41	—	4	2	no	—
530	C₂×#41	—	4	2	no	—
531	C₂×#41	—	4	1	no	—
532	C₂×#41	—	4	1	no	—
533	C₂×#41	—	4	1	no	—
534	C₂×#41	—	4	1	no	—
535	C₂×#41	—	4	1	no	—
536	C₂×#41	—	4	1	no	—
537	C₂×#41	—	4	1	no	—
538	C₂×#41	—	4	1	no	—
539	C₂×#41	—	4	1	no	—
540	C₂×#41	—	4	1	no	—
541	C₂×#41	—	4	1	no	—
542	C₂×#41	—	4	1	no	—
543	C₂×#41	—	4	1	no	—
544	C₂×#41	—	4	1	no	—
545	C₂×#41	—	4	1	no	—
546	C₂×#41	—	4	1	no	—
547	C₂×#41	—	4	1	no	—
548	C₂×#41	—	4	1	no	—
549	C₂×#41	—	4	1	no	—
550	C₂×#41	—	4	1	no	—
551	C₂×#41	—	4	2	no	—
552	C₂×#41	—	4	2	no	—
553	C₂×#41	—	4	2	no	—
554	C₂×#41	—	4	2	no	—
555	C₂×#41	—	4	2	no	—
556	C₂×#41	—	4	2	no	—
557	C₂×#41	—	4	2	no	—
558	C₂×#41	—	4	2	no	—
559	C₂×#41	—	4	16	no	—
560	C₂×#41	—	4	16	no	—
561	C₂×#41	—	4	16	no	—
562	C₂×#41	—	4	16	no	—
563	C₂²×Q₈	—	4	2	no	—
564	C₂²×Q₈	—	4	2	no	—
565	C₂²×Q₈	—	4	2	no	—
566	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
567	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
568	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
569	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
570	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
571	C₂²×D₄	—	4	2	no	—
572	C₂²×D₄	—	4	2	no	—
573	C₂²×D₄	—	4	2	no	—
574	C₂²×D₄	—	4	2	no	—
575	C₂²×D₄	—	4	2	no	—
576	C₂²×D₄	—	4	2	no	—
577	C₂²×D₄	—	4	2	no	—
578	C₂²×D₄	—	4	2	no	—
579	C₂²×D₄	—	4	2	no	—
580	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
581	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
582	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
583	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
584	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
585	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
586	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
587	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
588	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
589	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
590	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
591	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
592	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
593	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
594	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
595	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
596	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
597	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
598	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
599	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
600	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
601	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
602	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
603	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
604	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
605	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
606	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
607	C₂³×C₄	—	2	2	no	—
608	C₂³×C₄	—	2	2	no	—
609	C₂³×C₄	—	2	2	no	—
610	C₂³×C₄	—	2	2	no	—
611	C₂³×C₄	—	2	2	no	—
612	C₂³×C₄	—	2	2	no	—
613	C₂³×C₄	—	2	2	no	—
614	C₂³×C₄	—	2	2	no	—
615	C₂³×C₄	—	2	2	no	—
616	C₂³×C₄	—	2	2	no	—
617	C₂³×C₄	—	4	1	no	—
618	C₂³×C₄	—	4	1	no	—
619	C₂³×C₄	—	4	1	no	—
620	C₂³×C₄	—	4	1	no	—
621	C₂³×C₄	—	4	1	no	—
622	C₂³×C₄	—	4	1	no	—
623	C₂³×C₄	—	4	1	no	—
624	C₂³×C₄	—	4	1	no	—
625	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂³×C₄	C₂⁴	1	1	yes	characteristic
635	C₂³×C₄	C₂⁴	1	1	yes	characteristic
636	C₂³×C₄	C₂⁴	1	1	yes	characteristic
637	C₂³×C₄	C₂⁴	1	1	yes	characteristic
638	C₂³×C₄	C₂⁴	1	1	yes	characteristic
639	C₂³×C₄	C₂⁴	1	1	yes	characteristic
640	C₂³×C₄	C₂⁴	1	1	yes	characteristic
641	C₂³×C₄	C₂⁴	1	1	yes	characteristic
642	C₂³×C₄	C₂⁴	1	1	yes	characteristic
643	C₂×M₁₆	—	2	2	no	—
644	C₂×M₁₆	—	2	2	no	—
645	C₂×M₁₆	—	2	2	no	—
646	C₂×M₁₆	—	2	2	no	—
647	C₂×M₁₆	—	4	1	no	—
648	C₂×M₁₆	—	4	1	no	—
649	C₂×M₁₆	—	4	1	no	—
650	C₂×M₁₆	—	4	1	no	—
651	C₂×M₁₆	—	4	1	no	—
652	C₂×M₁₆	—	4	1	no	—
653	C₂×M₁₆	—	4	1	no	—
654	C₂×M₁₆	—	4	1	no	—
655	C₂×M₁₆	—	4	1	no	—
656	C₂×M₁₆	—	4	1	no	—
657	C₂×M₁₆	—	4	1	no	—
658	C₂×M₁₆	—	4	1	no	—
659	C₂×M₁₆	—	4	1	no	—
660	C₂×M₁₆	—	4	1	no	—
661	C₂²×C₈	—	2	2	no	—
662	C₂²×C₈	—	2	2	no	—
663	C₂²×C₈	—	2	2	no	—
664	C₂²×C₈	—	2	2	no	—
665	C₂²×C₈	—	4	1	no	—
666	C₂²×C₈	—	4	1	no	—
667	C₂²×C₈	—	4	1	no	—
668	C₂²×C₈	—	4	1	no	—
669	C₂²×C₈	—	4	1	no	—
670	C₂²×C₈	—	4	1	no	—
671	C₂²×C₈	—	4	1	no	—
672	C₂²×C₈	—	4	1	no	—
673	C₂²×C₈	—	4	1	no	—
674	C₂²×C₈	—	4	1	no	—
675	C₂²×C₈	—	4	1	no	—
676	C₂²×C₈	—	4	1	no	—
677	C₂²×C₈	—	4	1	no	—
678	C₂²×C₈	—	4	1	no	—
679	C₂²×C₈	C₂⁴	1	1	yes	characteristic
680	C₂²×C₈	C₂⁴	1	1	yes	characteristic
681	C₂²×C₈	C₂⁴	1	1	yes	characteristic
682	C₂²×C₈	C₂⁴	1	1	yes	characteristic
683	C₂²×C₈	C₂⁴	1	1	yes	characteristic
684	C₂²×C₈	C₂⁴	1	1	yes	characteristic
685	C₂²×C₈	C₂⁴	1	1	yes	characteristic
686	C₂²×C₈	C₂⁴	1	1	yes	characteristic
687	C₂²×C₈	C₂⁴	1	1	yes	characteristic
688	C₂²×C₈	C₂⁴	1	1	yes	characteristic
689	C₂²×C₈	C₂⁴	1	1	yes	characteristic
690	C₂²×C₈	C₂⁴	1	1	yes	characteristic
691	C₂²×C₈	C₂⁴	1	1	yes	characteristic
692	C₂²×C₈	C₂⁴	1	1	yes	characteristic
693	C₂²×C₈	C₂⁴	1	1	yes	characteristic
694	C₂²×C₈	C₂⁴	1	1	yes	characteristic
695	#123	—	4	2	no	—
696	#123	—	4	2	no	—
697	#123	—	4	2	no	—
698	#123	—	4	2	no	—
699	#123	—	4	2	no	—
700	#123	—	4	2	no	—
701	C₂²⋊Q₈	—	4	2	no	—
702	C₂²⋊Q₈	—	4	2	no	—
703	C₂²⋊Q₈	—	4	2	no	—
704	C₂²⋊Q₈	—	4	2	no	—
705	C₂²⋊Q₈	—	4	2	no	—
706	C₂²⋊Q₈	—	4	2	no	—
707	#121	—	4	2	no	—
708	#121	—	4	2	no	—
709	#121	—	4	2	no	—
710	#121	—	4	2	no	—
711	#121	—	4	2	no	—
712	#121	—	4	2	no	—
713	#120	—	4	2	no	—
714	#120	—	4	2	no	—
715	#120	—	4	2	no	—
716	#120	—	4	2	no	—
717	#120	—	4	2	no	—
718	#120	—	4	2	no	—
719	C₄×D₄	—	2	2	no	—
720	C₄×D₄	—	2	2	no	—
721	C₄×D₄	—	2	2	no	—
722	C₄×D₄	—	2	2	no	—
723	C₄×D₄	—	2	2	no	—
724	C₄×D₄	—	2	2	no	—
725	C₄×D₄	—	2	2	no	—
726	C₄×D₄	—	2	2	no	—
727	C₄×D₄	—	4	1	no	—
728	C₄×D₄	—	4	1	no	—
729	C₄×D₄	—	4	1	no	—
730	C₄×D₄	—	4	1	no	—
731	C₄×D₄	—	4	1	no	—
732	C₄×D₄	—	4	1	no	—
733	C₄×D₄	—	4	1	no	—
734	C₄×D₄	—	4	1	no	—
735	C₄×D₄	—	4	1	no	—
736	C₄×D₄	—	4	1	no	—
737	C₄×D₄	—	4	1	no	—
738	C₄×D₄	—	4	1	no	—
739	C₄×D₄	—	4	1	no	—
740	C₄×D₄	—	4	1	no	—
741	C₄×D₄	—	4	1	no	—
742	C₄×D₄	—	4	1	no	—
743	#117	—	2	2	no	—
744	#117	—	2	2	no	—
745	#117	—	4	1	no	—
746	#117	—	4	1	no	—
747	#117	—	4	1	no	—
748	#117	—	4	1	no	—
749	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
779	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
780	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
788	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
800	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
802	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
812	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
821	C₂×C₄²	C₂⁴	1	1	yes	characteristic
822	C₂×C₄²	C₂⁴	1	1	yes	characteristic
823	C₂×C₄²	C₂⁴	1	1	yes	characteristic
824	C₂×C₄²	C₂⁴	1	1	yes	characteristic
825	C₂×C₄²	C₂⁴	1	1	yes	characteristic
826	C₂×C₄²	C₂⁴	1	1	yes	characteristic
827	C₄⋊C₈	—	4	1	no	—
828	C₄⋊C₈	—	4	1	no	—
829	C₄⋊C₈	—	4	1	no	—
830	C₄⋊C₈	—	4	1	no	—
831	C₄⋊C₈	—	4	1	no	—
832	C₄⋊C₈	—	4	1	no	—
833	C₄⋊C₈	—	4	1	no	—
834	C₄⋊C₈	—	4	1	no	—
835	C₄⋊C₈	—	4	1	no	—
836	C₄⋊C₈	—	4	1	no	—
837	C₄⋊C₈	—	4	1	no	—
838	C₄⋊C₈	—	4	1	no	—
839	C₂²⋊C₈	—	2	2	no	—
840	C₂²⋊C₈	—	2	2	no	—
841	C₂²⋊C₈	—	2	2	no	—
842	C₂²⋊C₈	—	2	2	no	—
843	C₂²⋊C₈	—	2	2	no	—
844	C₂²⋊C₈	—	2	2	no	—
845	C₂²⋊C₈	—	2	2	no	—
846	C₂²⋊C₈	—	2	2	no	—
847	C₂²⋊C₈	—	2	2	no	—
848	C₂²⋊C₈	—	2	2	no	—
849	C₂²⋊C₈	—	2	2	no	—
850	C₂²⋊C₈	—	2	2	no	—
851	C₂²⋊C₈	—	2	2	no	—
852	C₂²⋊C₈	—	2	2	no	—
853	C₂²⋊C₈	—	2	2	no	—
854	C₂²⋊C₈	—	2	2	no	—
855	C₂²⋊C₈	—	4	1	no	—
856	C₂²⋊C₈	—	4	1	no	—
857	C₂²⋊C₈	—	4	1	no	—
858	C₂²⋊C₈	—	4	1	no	—
859	C₂²⋊C₈	—	4	1	no	—
860	C₂²⋊C₈	—	4	1	no	—
861	C₂²⋊C₈	—	4	1	no	—
862	C₂²⋊C₈	—	4	1	no	—
863	C₂²⋊C₈	—	4	1	no	—
864	C₂²⋊C₈	—	4	1	no	—
865	C₂²⋊C₈	—	4	1	no	—
866	C₂²⋊C₈	—	4	1	no	—
867	C₂²⋊C₈	—	4	1	no	—
868	C₂²⋊C₈	—	4	1	no	—
869	C₂²⋊C₈	—	4	1	no	—
870	C₂²⋊C₈	—	4	1	no	—
871	C₂²⋊C₈	—	4	1	no	—
872	C₂²⋊C₈	—	4	1	no	—
873	C₂²⋊C₈	—	4	1	no	—
874	C₂²⋊C₈	—	4	1	no	—
875	C₂²⋊C₈	—	4	1	no	—
876	C₂²⋊C₈	—	4	1	no	—
877	C₂²⋊C₈	—	4	1	no	—
878	C₂²⋊C₈	—	4	1	no	—
879	C₂²⋊C₈	—	4	1	no	—
880	C₂²⋊C₈	—	4	1	no	—
881	C₂²⋊C₈	—	4	1	no	—
882	C₂²⋊C₈	—	4	1	no	—
883	C₂²⋊C₈	—	4	1	no	—
884	C₂²⋊C₈	—	4	1	no	—
885	C₂²⋊C₈	—	4	1	no	—
886	C₂²⋊C₈	—	4	1	no	—
887	C₂²⋊C₈	—	4	1	no	—
888	C₂²⋊C₈	—	4	1	no	—
889	C₂²⋊C₈	—	4	1	no	—
890	C₂²⋊C₈	—	4	1	no	—
891	C₂²⋊C₈	—	4	1	no	—
892	C₂²⋊C₈	—	4	1	no	—
893	C₂²⋊C₈	—	4	1	no	—
894	C₂²⋊C₈	—	4	1	no	—
895	C₂²⋊C₈	—	4	1	no	—
896	C₂²⋊C₈	—	4	1	no	—
897	C₂²⋊C₈	—	4	1	no	—
898	C₂²⋊C₈	—	4	1	no	—
899	#97	—	4	1	no	—
900	#97	—	4	1	no	—
901	#97	—	4	1	no	—
902	#97	—	4	1	no	—
903	#97	—	4	1	no	—
904	#97	—	4	1	no	—
905	C₄×C₈	—	4	1	no	—
906	C₄×C₈	—	4	1	no	—
907	C₄×C₈	—	4	1	no	—
908	C₄×C₈	—	4	1	no	—
909	C₄×C₈	—	4	1	no	—
910	C₄×C₈	—	4	1	no	—
911	#95	C₂²×C₄	1	1	yes	characteristic
912	#95	C₂²×C₄	1	1	yes	characteristic
913	#95	C₂²×C₄	1	1	yes	characteristic
914	#95	C₂²×C₄	1	1	yes	characteristic
915	#95	C₂²×C₄	1	1	yes	characteristic
916	#95	C₂²×C₄	1	1	yes	characteristic
917	#95	C₂²×C₄	1	1	yes	characteristic
918	#95	C₂²×C₄	1	1	yes	characteristic
919	#95	C₂²×C₄	1	1	yes	characteristic
920	#95	C₂²×C₄	1	1	yes	characteristic
921	#95	C₂²×C₄	1	1	yes	characteristic
922	#95	C₂²×C₄	1	1	yes	characteristic
923	#95	C₂²×C₄	1	1	yes	characteristic
924	#95	C₂²×C₄	1	1	yes	characteristic
925	#95	C₂²×C₄	1	1	yes	characteristic
926	#95	C₂²×C₄	1	1	yes	characteristic
927	#95	C₂²×C₄	1	1	yes	characteristic
928	#95	C₂²×C₄	1	1	yes	characteristic
929	#95	C₂²×C₄	1	1	yes	characteristic
930	#95	C₂²×C₄	1	1	yes	characteristic
931	#95	C₂²×C₄	1	1	yes	characteristic
932	#95	C₂²×C₄	1	1	yes	characteristic
933	#95	C₂²×C₄	1	1	yes	characteristic
934	#95	C₂²×C₄	1	1	yes	characteristic
935	C₂⁴	—	2	2	no	—
936	C₂⁴	—	2	2	no	—
937	C₂⁴	—	2	2	no	—
938	C₂⁴	—	2	2	no	—
939	C₂⁴	—	2	2	no	—
940	C₂⁴	—	4	1	no	—
941	C₂⁴	—	4	1	no	—
942	C₂⁴	—	4	1	no	—
943	C₂⁴	—	4	1	no	—
944	C₂⁴	—	4	1	no	—
945	C₂⁴	—	4	1	no	—
946	C₂⁴	—	4	1	no	—
947	C₂⁴	—	4	1	no	—
948	C₂⁴	—	4	1	no	—
949	C₂⁴	—	4	1	no	—
950	C₂⁴	—	4	1	no	—
951	C₂⁴	—	4	1	no	—
952	C₂⁴	—	4	1	no	—
953	C₂⁴	—	4	1	no	—
954	C₂⁴	—	4	1	no	—
955	C₂⁴	—	4	1	no	—
956	C₂⁴	C₂³×C₄	1	1	yes	characteristic
957	C₂⁴	C₂³×C₄	1	1	yes	characteristic
958	C₂⁴	C₂³×C₄	1	1	yes	characteristic
959	C₂⁴	C₂³×C₄	1	1	yes	characteristic
960	C₂⁴	C₂³×C₄	1	1	yes	characteristic
961	C₂⁴	C₂³×C₄	1	1	yes	characteristic
962	C₂⁴	C₂³×C₄	1	1	yes	characteristic
963	C₂⁴	C₂³×C₄	1	1	yes	characteristic
964	C₂⁴	C₂³×C₄	1	1	yes	characteristic
965	#41	—	4	4	no	—
966	#41	—	4	4	no	—
967	#41	—	4	4	no	—
968	#41	—	4	4	no	—
969	#41	—	4	4	no	—
970	#41	—	4	4	no	—
971	#41	—	4	4	no	—
972	#41	—	4	4	no	—
973	#41	—	4	4	no	—
974	#41	—	4	4	no	—
975	#41	—	4	4	no	—
976	#41	—	4	4	no	—
977	#41	—	4	16	no	—
978	#41	—	4	16	no	—
979	#41	—	4	16	no	—
980	#41	—	4	16	no	—
981	#41	—	4	4	no	—
982	#41	—	4	4	no	—
983	#41	—	4	4	no	—
984	#41	—	4	4	no	—
985	#41	—	8	2	no	—
986	#41	—	8	2	no	—
987	#41	—	8	2	no	—
988	#41	—	8	2	no	—
989	C₂×Q₈	—	2	2	no	—
990	C₂×Q₈	—	2	2	no	—
991	C₂×Q₈	—	2	2	no	—
992	C₂×Q₈	—	2	2	no	—
993	C₂×Q₈	—	2	2	no	—
994	C₂×Q₈	—	4	1	no	—
995	C₂×Q₈	—	4	1	no	—
996	C₂×Q₈	—	4	1	no	—
997	C₂×Q₈	—	4	1	no	—
998	C₂×Q₈	—	4	1	no	—
999	C₂×Q₈	—	4	1	no	—
1000	C₂×Q₈	—	4	1	no	—
1001	C₂×Q₈	—	4	1	no	—
1002	C₂×Q₈	—	4	1	no	—
1003	C₂×Q₈	—	4	1	no	—
1004	C₂×Q₈	—	4	16	no	—
1005	C₂×D₄	—	2	2	no	—
1006	C₂×D₄	—	2	2	no	—
1007	C₂×D₄	—	2	2	no	—
1008	C₂×D₄	—	2	2	no	—
1009	C₂×D₄	—	2	2	no	—
1010	C₂×D₄	—	2	2	no	—
1011	C₂×D₄	—	2	2	no	—
1012	C₂×D₄	—	2	2	no	—
1013	C₂×D₄	—	2	2	no	—
1014	C₂×D₄	—	2	2	no	—
1015	C₂×D₄	—	2	2	no	—
1016	C₂×D₄	—	2	2	no	—
1017	C₂×D₄	—	2	2	no	—
1018	C₂×D₄	—	2	2	no	—
1019	C₂×D₄	—	2	2	no	—
1020	C₂×D₄	—	2	2	no	—
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	2	2	no	—
1023	C₂×D₄	—	2	2	no	—
1024	C₂×D₄	—	4	1	no	—
1025	C₂×D₄	—	4	1	no	—
1026	C₂×D₄	—	4	1	no	—
1027	C₂×D₄	—	4	1	no	—
1028	C₂×D₄	—	4	1	no	—
1029	C₂×D₄	—	4	1	no	—
1030	C₂×D₄	—	4	1	no	—
1031	C₂×D₄	—	4	1	no	—
1032	C₂×D₄	—	4	1	no	—
1033	C₂×D₄	—	4	1	no	—
1034	C₂×D₄	—	4	1	no	—
1035	C₂×D₄	—	4	1	no	—
1036	C₂×D₄	—	4	1	no	—
1037	C₂×D₄	—	4	1	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	—	4	1	no	—
1040	C₂×D₄	—	4	1	no	—
1041	C₂×D₄	—	4	1	no	—
1042	C₂×D₄	—	4	1	no	—
1043	C₂×D₄	—	4	1	no	—
1044	C₂×D₄	—	4	1	no	—
1045	C₂×D₄	—	4	1	no	—
1046	C₂×D₄	—	4	1	no	—
1047	C₂×D₄	—	4	1	no	—
1048	C₂×D₄	—	4	1	no	—
1049	C₂×D₄	—	4	1	no	—
1050	C₂×D₄	—	4	1	no	—
1051	C₂×D₄	—	4	1	no	—
1052	C₂×D₄	—	4	1	no	—
1053	C₂×D₄	—	4	1	no	—
1054	C₂×D₄	—	4	1	no	—
1055	C₂×D₄	—	4	1	no	—
1056	C₂×D₄	—	4	1	no	—
1057	C₂×D₄	—	4	1	no	—
1058	C₂×D₄	—	4	1	no	—
1059	C₂×D₄	—	4	1	no	—
1060	C₂×D₄	—	4	1	no	—
1061	C₂×D₄	—	4	1	no	—
1062	C₂×D₄	—	4	1	no	—
1063	C₂×D₄	—	4	1	no	—
1064	C₂×D₄	—	4	1	no	—
1065	C₂×D₄	—	4	1	no	—
1066	C₂×D₄	—	4	1	no	—
1067	C₂×D₄	—	4	1	no	—
1068	C₂×D₄	—	4	1	no	—
1069	C₂×D₄	—	4	1	no	—
1070	C₂×D₄	—	4	1	no	—
1071	C₂×D₄	—	4	1	no	—
1072	C₂×D₄	—	4	1	no	—
1073	C₂×D₄	—	4	1	no	—
1074	C₂×D₄	—	4	1	no	—
1075	C₂×D₄	—	4	1	no	—
1076	C₂×D₄	—	4	1	no	—
1077	C₂×D₄	—	4	1	no	—
1078	C₂×D₄	—	4	1	no	—
1079	C₂×D₄	—	4	1	no	—
1080	C₂×D₄	—	4	1	no	—
1081	C₂×D₄	—	4	1	no	—
1082	C₂×D₄	—	4	1	no	—
1083	C₂×D₄	—	4	1	no	—
1084	C₂×D₄	—	4	1	no	—
1085	C₂×D₄	—	4	1	no	—
1086	C₂×D₄	—	4	16	no	—
1087	C₂×D₄	—	4	16	no	—
1088	C₂×D₄	—	4	16	no	—
1089	C₂²×C₄	—	2	1	no	—
1090	C₂²×C₄	—	2	1	no	—
1091	C₂²×C₄	—	2	1	no	—
1092	C₂²×C₄	—	2	1	no	—
1093	C₂²×C₄	—	2	1	no	—
1094	C₂²×C₄	—	2	1	no	—
1095	C₂²×C₄	—	2	1	no	—
1096	C₂²×C₄	—	2	1	no	—
1097	C₂²×C₄	—	2	1	no	—
1098	C₂²×C₄	—	2	1	no	—
1099	C₂²×C₄	—	2	1	no	—
1100	C₂²×C₄	—	2	1	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	2	2	no	—
1104	C₂²×C₄	—	2	2	no	—
1105	C₂²×C₄	—	2	2	no	—
1106	C₂²×C₄	—	2	2	no	—
1107	C₂²×C₄	—	2	2	no	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	2	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	1	no	—
1117	C₂²×C₄	—	2	1	no	—
1118	C₂²×C₄	—	2	1	no	—
1119	C₂²×C₄	—	2	1	no	—
1120	C₂²×C₄	—	2	1	no	—
1121	C₂²×C₄	—	2	1	no	—
1122	C₂²×C₄	—	2	1	no	—
1123	C₂²×C₄	—	2	1	no	—
1124	C₂²×C₄	—	2	1	no	—
1125	C₂²×C₄	—	2	1	no	—
1126	C₂²×C₄	—	2	1	no	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	1	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	1	no	—
1133	C₂²×C₄	—	2	1	no	—
1134	C₂²×C₄	—	2	1	no	—
1135	C₂²×C₄	—	2	1	no	—
1136	C₂²×C₄	—	2	1	no	—
1137	C₂²×C₄	—	2	1	no	—
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	1	no	—
1141	C₂²×C₄	—	2	1	no	—
1142	C₂²×C₄	—	2	1	no	—
1143	C₂²×C₄	—	2	1	no	—
1144	C₂²×C₄	—	2	1	no	—
1145	C₂²×C₄	—	2	1	no	—
1146	C₂²×C₄	—	2	1	no	—
1147	C₂²×C₄	—	2	1	no	—
1148	C₂²×C₄	—	2	1	no	—
1149	C₂²×C₄	—	2	1	no	—
1150	C₂²×C₄	—	2	1	no	—
1151	C₂²×C₄	—	2	1	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	4	1	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	4	1	no	—
1159	C₂²×C₄	—	4	1	no	—
1160	C₂²×C₄	—	4	1	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	4	no	—
1165	C₂²×C₄	—	4	4	no	—
1166	C₂²×C₄	—	4	4	no	—
1167	C₂²×C₄	—	4	4	no	—
1168	C₂²×C₄	—	4	4	no	—
1169	C₂²×C₄	—	4	4	no	—
1170	C₂²×C₄	—	4	4	no	—
1171	C₂²×C₄	—	4	4	no	—
1172	C₂²×C₄	—	4	4	no	—
1173	C₂²×C₄	—	4	4	no	—
1174	C₂²×C₄	—	4	4	no	—
1175	C₂²×C₄	—	4	4	no	—
1176	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1197	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1198	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1199	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1200	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1201	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1202	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1203	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1204	M₁₆	—	8	2	no	—
1205	M₁₆	—	8	2	no	—
1206	M₁₆	—	8	2	no	—
1207	M₁₆	—	8	2	no	—
1208	M₁₆	—	8	2	no	—
1209	M₁₆	—	8	2	no	—
1210	C₂×C₈	—	2	1	no	—
1211	C₂×C₈	—	2	1	no	—
1212	C₂×C₈	—	2	1	no	—
1213	C₂×C₈	—	2	1	no	—
1214	C₂×C₈	—	2	1	no	—
1215	C₂×C₈	—	2	1	no	—
1216	C₂×C₈	—	2	1	no	—
1217	C₂×C₈	—	2	1	no	—
1218	C₂×C₈	—	2	1	no	—
1219	C₂×C₈	—	2	1	no	—
1220	C₂×C₈	—	2	1	no	—
1221	C₂×C₈	—	2	1	no	—
1222	C₂×C₈	—	2	1	no	—
1223	C₂×C₈	—	2	1	no	—
1224	C₂×C₈	—	2	1	no	—
1225	C₂×C₈	—	2	1	no	—
1226	C₂×C₈	—	2	1	no	—
1227	C₂×C₈	—	2	1	no	—
1228	C₂×C₈	—	2	1	no	—
1229	C₂×C₈	—	2	1	no	—
1230	C₂×C₈	—	2	1	no	—
1231	C₂×C₈	—	2	1	no	—
1232	C₂×C₈	—	2	1	no	—
1233	C₂×C₈	—	2	1	no	—
1234	C₂×C₈	—	2	1	no	—
1235	C₂×C₈	—	2	1	no	—
1236	C₂×C₈	—	2	1	no	—
1237	C₂×C₈	—	2	1	no	—
1238	C₂×C₈	—	2	1	no	—
1239	C₂×C₈	—	2	1	no	—
1240	C₂×C₈	—	2	1	no	—
1241	C₂×C₈	—	2	1	no	—
1242	C₂×C₈	—	2	1	no	—
1243	C₂×C₈	—	2	1	no	—
1244	C₂×C₈	—	2	1	no	—
1245	C₂×C₈	—	2	1	no	—
1246	C₂×C₈	—	2	1	no	—
1247	C₂×C₈	—	2	1	no	—
1248	C₂×C₈	—	2	1	no	—
1249	C₂×C₈	—	2	1	no	—
1250	C₂×C₈	—	2	1	no	—
1251	C₂×C₈	—	2	1	no	—
1252	C₂×C₈	—	2	1	no	—
1253	C₂×C₈	—	2	1	no	—
1254	C₂×C₈	—	2	1	no	—
1255	C₂×C₈	—	2	1	no	—
1256	C₂×C₈	—	2	1	no	—
1257	C₂×C₈	—	2	1	no	—
1258	C₂×C₈	—	8	2	no	—
1259	C₂×C₈	—	8	2	no	—
1260	C₂×C₈	—	8	2	no	—
1261	C₂×C₈	—	8	2	no	—
1262	C₂×C₈	—	8	2	no	—
1263	C₂×C₈	—	8	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	2	2	no	—
1267	C₄⋊C₄	—	2	2	no	—
1268	C₄⋊C₄	—	2	2	no	—
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	4	1	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₄²	—	2	1	no	—
1337	C₄²	—	2	1	no	—
1338	C₄²	—	2	1	no	—
1339	C₄²	—	2	1	no	—
1340	C₄²	—	2	1	no	—
1341	C₄²	—	2	1	no	—
1342	C₄²	—	2	1	no	—
1343	C₄²	—	2	1	no	—
1344	C₄²	—	2	1	no	—
1345	C₄²	—	2	1	no	—
1346	C₄²	—	2	1	no	—
1347	C₄²	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	4	4	no	—
1409	C₂³	—	4	4	no	—
1410	C₂³	—	4	4	no	—
1411	C₂³	—	4	4	no	—
1412	C₂³	—	4	4	no	—
1413	C₂³	—	8	2	no	—
1414	C₂³	—	8	2	no	—
1415	C₂³	—	8	2	no	—
1416	C₂³	—	8	2	no	—
1417	C₂³	—	8	2	no	—
1418	C₂³	—	8	2	no	—
1419	C₂³	—	8	2	no	—
1420	C₂³	—	8	2	no	—
1421	C₂³	—	8	2	no	—
1422	C₂³	—	8	2	no	—
1423	C₂³	—	8	2	no	—
1424	C₂³	—	8	2	no	—
1425	C₂³	—	8	2	no	—
1426	C₂³	—	8	2	no	—
1427	C₂³	—	8	2	no	—
1428	C₂³	—	8	2	no	—
1429	C₂³	#518	1	2	yes	—
1430	C₂³	#518	1	2	yes	—
1431	C₂³	#518	1	2	yes	—
1432	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1433	Q₈	—	4	4	no	—
1434	Q₈	—	4	4	no	—
1435	Q₈	—	4	4	no	—
1436	Q₈	—	4	4	no	—
1437	Q₈	—	8	2	no	—
1438	D₄	—	4	4	no	—
1439	D₄	—	4	4	no	—
1440	D₄	—	4	4	no	—
1441	D₄	—	4	4	no	—
1442	D₄	—	4	4	no	—
1443	D₄	—	4	4	no	—
1444	D₄	—	4	4	no	—
1445	D₄	—	4	4	no	—
1446	D₄	—	4	4	no	—
1447	D₄	—	4	4	no	—
1448	D₄	—	4	4	no	—
1449	D₄	—	4	4	no	—
1450	D₄	—	4	4	no	—
1451	D₄	—	4	4	no	—
1452	D₄	—	8	2	no	—
1453	D₄	—	8	2	no	—
1454	D₄	—	8	2	no	—
1455	D₄	—	8	2	no	—
1456	D₄	—	8	2	no	—
1457	D₄	—	8	2	no	—
1458	D₄	—	8	2	no	—
1459	D₄	—	8	2	no	—
1460	D₄	—	8	2	no	—
1461	D₄	—	8	2	no	—
1462	D₄	—	8	2	no	—
1463	D₄	—	8	2	no	—
1464	D₄	—	8	2	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	2	no	—
1472	C₂×C₄	—	2	2	no	—
1473	C₂×C₄	—	2	2	no	—
1474	C₂×C₄	—	2	2	no	—
1475	C₂×C₄	—	2	2	no	—
1476	C₂×C₄	—	2	2	no	—
1477	C₂×C₄	—	2	2	no	—
1478	C₂×C₄	—	2	2	no	—
1479	C₂×C₄	—	2	2	no	—
1480	C₂×C₄	—	2	2	no	—
1481	C₂×C₄	—	2	2	no	—
1482	C₂×C₄	—	2	2	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	4	4	no	—
1538	C₂×C₄	—	4	4	no	—
1539	C₂×C₄	—	4	4	no	—
1540	C₂×C₄	—	4	4	no	—
1541	C₂×C₄	—	4	4	no	—
1542	C₂×C₄	—	4	4	no	—
1543	C₂×C₄	—	4	4	no	—
1544	C₂×C₄	—	4	4	no	—
1545	C₂×C₄	—	4	4	no	—
1546	C₂×C₄	—	4	1	no	—
1547	C₂×C₄	—	4	1	no	—
1548	C₂×C₄	—	4	1	no	—
1549	C₂×C₄	—	4	1	no	—
1550	C₂×C₄	—	4	1	no	—
1551	C₂×C₄	—	4	1	no	—
1552	C₂×C₄	—	4	1	no	—
1553	C₂×C₄	—	4	1	no	—
1554	C₂×C₄	—	4	1	no	—
1555	C₂×C₄	—	4	1	no	—
1556	C₂×C₄	—	4	1	no	—
1557	C₂×C₄	—	4	1	no	—
1558	C₂×C₄	—	4	1	no	—
1559	C₂×C₄	—	4	1	no	—
1560	C₂×C₄	—	4	1	no	—
1561	C₂×C₄	—	4	1	no	—
1562	C₂×C₄	—	4	1	no	—
1563	C₂×C₄	—	4	1	no	—
1564	C₂×C₄	—	4	1	no	—
1565	C₂×C₄	—	4	1	no	—
1566	C₂×C₄	—	4	1	no	—
1567	C₂×C₄	—	4	1	no	—
1568	C₂×C₄	—	4	1	no	—
1569	C₂×C₄	—	4	1	no	—
1570	C₂×C₄	#518	1	2	yes	—
1571	C₂×C₄	#518	1	2	yes	—
1572	C₂×C₄	#518	1	2	yes	—
1573	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1574	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1575	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1576	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1577	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1578	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1579	C₈	—	4	1	no	—
1580	C₈	—	4	1	no	—
1581	C₈	—	4	1	no	—
1582	C₈	—	4	1	no	—
1583	C₈	—	4	1	no	—
1584	C₈	—	4	1	no	—
1585	C₈	—	4	1	no	—
1586	C₈	—	4	1	no	—
1587	C₈	—	4	1	no	—
1588	C₈	—	4	1	no	—
1589	C₈	—	4	1	no	—
1590	C₈	—	4	1	no	—
1591	C₈	—	4	1	no	—
1592	C₈	—	4	1	no	—
1593	C₈	—	4	1	no	—
1594	C₈	—	4	1	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	2	no	—
1597	C₂²	—	2	2	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	2	no	—
1601	C₂²	—	2	2	no	—
1602	C₂²	—	2	2	no	—
1603	C₂²	—	2	2	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	8	8	no	—
1659	C₂²	—	8	8	no	—
1660	C₂²	—	8	8	no	—
1661	C₂²	C₂×#518	1	1	yes	characteristic
1662	C₂²	C₂×#518	1	1	yes	characteristic
1663	C₂²	C₂×#518	1	1	yes	characteristic
1664	C₂²	#3573	1	1	yes	characteristic
1665	C₂²	#3573	1	1	yes	characteristic
1666	C₂²	#3573	1	1	yes	characteristic
1667	C₂²	#3573	1	1	yes	characteristic
1668	C₄	—	2	2	no	—
1669	C₄	—	2	2	no	—
1670	C₄	—	2	2	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	#3532	1	1	yes	characteristic
1690	C₄	#3532	1	1	yes	characteristic
1691	C₄	#3532	1	1	yes	characteristic
1692	C₄	#3532	1	1	yes	characteristic
1693	C₂	—	4	2	no	—
1694	C₂	—	4	2	no	—
1695	C₂	—	4	2	no	—
1696	C₂	—	8	1	no	—
1697	C₂	—	8	1	no	—
1698	C₂	—	8	1	no	—
1699	C₂	—	8	1	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	8	1	no	—
1702	C₂	#34356	1	1	yes	characteristic
1703	C₂	#60235	1	1	yes	characteristic
1704	C₂	#60235	1	1	yes	characteristic
1705	C₂	#60235	1	1	yes	characteristic
1706	C₂	#60235	1	1	yes	characteristic
1707	C₂	#60238	1	1	yes	characteristic
1708	C₂	#60238	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#34632	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #23313	C₂	semidirect
3. #23313	C₂	semidirect
4. #23310	C₂	semidirect
5. #23310	C₂	semidirect
6. #22853	C₂	semidirect
7. #22851	C₂	semidirect
8. #22845	C₂	semidirect
9. #22843	C₂	semidirect
10. #22559	C₂	semidirect
11. #22559	C₂	semidirect
12. #22558	C₂	semidirect
13. #22558	C₂	semidirect
14. #22400	C₂	semidirect
15. #22400	C₂	semidirect
16. #22398	C₂	semidirect
17. #22398	C₂	semidirect
18. #22039	C₂	semidirect
19. #22039	C₂	semidirect
20. #22037	C₂	semidirect
21. #22037	C₂	semidirect
22. #22035	C₂	semidirect
23. #22033	C₂	semidirect
24. #22031	C₂	semidirect
25. #22029	C₂	semidirect
26. #21910	C₂	semidirect
27. #21908	C₂	semidirect
28. #21792	C₂	semidirect
29. #21744	C₂	semidirect
30. #20581	C₂	semidirect
31. #20581	C₂	semidirect
36. C₂×#436	C₂²	semidirect
37. C₂×#436	C₂²	semidirect
38. C₂×#435	C₂²	semidirect
39. C₂×#435	C₂²	semidirect
40. C₂×#435	C₂²	semidirect
41. C₂×#435	C₂²	semidirect
42. C₂×C₈×D₄	C₂²	semidirect
43. C₂×C₈×D₄	C₂²	semidirect
87. #1955	C₂²	semidirect
88. #1955	C₂²	semidirect
89. #1955	C₂²	semidirect
90. #1955	C₂²	semidirect
91. #1955	C₂²	semidirect
92. #1955	C₂²	semidirect
93. #1955	C₂²	semidirect
94. #1955	C₂²	semidirect
95. #1954	C₂²	semidirect
96. #1954	C₂²	semidirect
97. #1954	C₂²	semidirect
98. #1954	C₂²	semidirect
99. #1954	C₂²	semidirect
100. #1954	C₂²	semidirect
101. #1954	C₂²	semidirect
102. #1954	C₂²	semidirect
103. #1924	C₂²	semidirect
104. #1924	C₂²	semidirect
105. #1924	C₂²	semidirect
106. #1924	C₂²	semidirect
107. #1924	C₂²	semidirect
108. #1924	C₂²	semidirect
109. #1924	C₂²	semidirect
110. #1924	C₂²	semidirect
111. #1924	C₂²	semidirect
112. #1924	C₂²	semidirect
113. #1924	C₂²	semidirect
114. #1924	C₂²	semidirect
115. #1924	C₂²	semidirect
116. #1924	C₂²	semidirect
117. #1924	C₂²	semidirect
118. #1924	C₂²	semidirect
119. #1923	C₂²	semidirect
120. #1923	C₂²	semidirect
121. #1923	C₂²	semidirect
122. #1923	C₂²	semidirect
123. #1923	C₂²	semidirect
124. #1923	C₂²	semidirect
125. #1923	C₂²	semidirect
126. #1923	C₂²	semidirect
127. #1923	C₂²	semidirect
128. #1923	C₂²	semidirect
129. #1923	C₂²	semidirect
130. #1923	C₂²	semidirect
131. #1923	C₂²	semidirect
132. #1923	C₂²	semidirect
133. #1923	C₂²	semidirect
134. #1923	C₂²	semidirect
135. #1870	C₂²	semidirect
136. #1870	C₂²	semidirect
137. #1870	C₂²	semidirect
138. #1870	C₂²	semidirect
139. #1870	C₂²	semidirect
140. #1870	C₂²	semidirect
141. #1870	C₂²	semidirect
142. #1870	C₂²	semidirect
143. #1870	C₂²	semidirect
144. #1870	C₂²	semidirect
145. #1870	C₂²	semidirect
146. #1870	C₂²	semidirect
147. #1869	C₂²	semidirect
148. #1869	C₂²	semidirect
149. #1869	C₂²	semidirect
150. #1869	C₂²	semidirect
151. #1869	C₂²	semidirect
152. #1869	C₂²	semidirect
153. #1869	C₂²	semidirect
154. #1869	C₂²	semidirect
155. #1869	C₂²	semidirect
156. #1869	C₂²	semidirect
157. #1869	C₂²	semidirect
158. #1869	C₂²	semidirect
159. #1851	C₂²	semidirect
160. #1851	C₂²	semidirect
161. #1851	C₂²	semidirect
162. #1851	C₂²	semidirect
163. #1850	C₂²	semidirect
164. #1850	C₂²	semidirect
165. #1850	C₂²	semidirect
166. #1850	C₂²	semidirect
191. #1753	C₂²	semidirect
192. #1753	C₂²	semidirect
193. #1753	C₂²	semidirect
194. #1753	C₂²	semidirect
195. #1752	C₂²	semidirect
196. #1752	C₂²	semidirect
197. C₈×C₂²⋊C₄	C₂²	semidirect
198. C₈×C₂²⋊C₄	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#34632	2
#23313	2
#23310	2
#22853	2
#22851	2
#22845	2
#22843	2
#22559	2
#22558	2
#22400	2
#22398	2
#22039	2
#22037	2
#22035	2
#22033	2
#22031	2
#22029	2
#21910	2
#21908	2
#21792	2
#21744	2
#20581	2