Subgroups — C₂×#54389 #8102270

Order 512.

6626 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#54389	C₂	1	32	yes	maximal, direct product factor
2	C₂×#2800	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#2797	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#2796	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2786	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#2781	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#2757	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2752	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#2749	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#2737	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#2711	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#2697	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#2686	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#2679	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#2672	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#2670	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#2668	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#2820	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2829	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2812	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2534	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2420	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2460	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#2472	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2412	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#2424	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2424	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#2424	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#2418	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#2638	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#2630	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#2622	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#124	C₂²	1	1	yes	characteristic
35	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#123	C₂²	1	1	yes	characteristic
37	C₂²×#123	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#121	C₂²	1	1	yes	characteristic
40	C₂²×#121	C₂²	1	1	yes	characteristic
41	C₂²×#121	C₂²	1	1	yes	characteristic
42	C₂²×#121	C₂²	1	1	yes	characteristic
43	C₂²×#120	C₂²	1	1	yes	characteristic
44	C₂²×#120	C₂²	1	1	yes	characteristic
45	C₂²×#120	C₂²	1	1	yes	characteristic
46	C₂²×#120	C₂²	1	1	yes	characteristic
47	C₂²×#120	C₂²	1	1	yes	characteristic
48	C₂²×#120	C₂²	1	1	yes	characteristic
49	C₂²×#120	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#120	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
52	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
53	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
54	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
55	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
56	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	#2829	C₂²	1	16	yes	complemented
58	#2820	C₂²	1	16	yes	complemented
59	#2812	C₂²	1	16	yes	complemented
60	#2800	C₂²	1	16	yes	complemented
61	#2797	C₂²	1	16	yes	complemented
62	#2796	C₂²	1	16	yes	complemented
63	#2786	C₂²	1	16	yes	complemented
64	#2781	C₂²	1	16	yes	complemented
65	#2757	C₂²	1	16	yes	complemented
66	#2752	C₂²	1	16	yes	complemented
67	#2749	C₂²	1	16	yes	complemented
68	#2737	C₂²	1	16	yes	complemented
69	#2711	C₂²	1	16	yes	complemented
70	#2697	C₂²	1	16	yes	complemented
71	#2686	C₂²	1	16	yes	complemented
72	#2679	C₂²	1	16	yes	complemented
73	#2672	C₂²	1	16	yes	complemented
74	#2670	C₂²	1	16	yes	complemented
75	#2668	C₂²	1	16	yes	complemented
76	#2638	C₂²	1	16	yes	complemented
77	#2630	C₂²	1	16	yes	complemented
78	#2622	C₂²	1	16	yes	complemented
79	#2534	C₂²	1	16	yes	complemented
80	#2472	C₂²	1	16	yes	complemented
81	#2460	C₂²	1	16	yes	complemented
82	#2424	C₂²	1	16	yes	complemented
83	#2424	C₂²	1	16	yes	complemented
84	#2424	C₂²	1	16	yes	complemented
85	#2420	C₂²	1	16	yes	complemented
86	#2418	C₂²	1	16	yes	complemented
87	#2412	C₂²	1	16	yes	complemented
88	C₂×#400	C₂²	1	1	yes	characteristic, complemented
89	C₂×#399	C₂²	1	1	yes	characteristic, complemented
90	C₂×#399	C₂²	1	1	yes	characteristic, complemented
91	C₂×#399	C₂²	1	1	yes	characteristic, complemented
92	C₂×#398	C₂²	1	1	yes	characteristic, complemented
93	C₂×#398	C₂²	1	1	yes	characteristic, complemented
94	C₂×#397	C₂²	1	1	yes	characteristic, complemented
95	C₂×#397	C₂²	1	1	yes	characteristic, complemented
96	C₂×#397	C₂²	1	1	yes	characteristic, complemented
97	C₂×#397	C₂²	1	1	yes	characteristic, complemented
98	C₂×#397	C₂²	1	1	yes	characteristic, complemented
99	C₂×#397	C₂²	1	1	yes	characteristic, complemented
100	C₂×#397	C₂²	1	1	yes	characteristic, complemented
101	C₂×#397	C₂²	1	1	yes	characteristic, complemented
102	C₂×#397	C₂²	1	1	yes	characteristic, complemented
103	C₂×#397	C₂²	1	1	yes	characteristic, complemented
104	C₂×#397	C₂²	1	1	yes	characteristic, complemented
105	C₂×#397	C₂²	1	1	yes	characteristic, complemented
106	C₂×#397	C₂²	1	1	yes	characteristic, complemented
107	C₂×#397	C₂²	1	1	yes	characteristic, complemented
108	C₂×#397	C₂²	1	1	yes	characteristic, complemented
109	C₂×#397	C₂²	1	1	yes	characteristic, complemented
110	C₂×#396	C₂²	1	1	yes	characteristic, complemented
111	C₂×#396	C₂²	1	1	yes	characteristic, complemented
112	C₂×#396	C₂²	1	1	yes	characteristic, complemented
113	C₂×#396	C₂²	1	1	yes	characteristic, complemented
114	C₂×#396	C₂²	1	1	yes	characteristic, complemented
115	C₂×#396	C₂²	1	1	yes	characteristic, complemented
116	C₂×#396	C₂²	1	1	yes	characteristic, complemented
117	C₂×#396	C₂²	1	1	yes	characteristic, complemented
118	C₂×#395	C₂²	1	1	yes	characteristic, complemented
119	C₂×#395	C₂²	1	1	yes	characteristic, complemented
120	C₂×#394	C₂²	1	1	yes	characteristic
121	C₂×#394	C₂²	1	1	yes	characteristic
122	C₂×#394	C₂²	1	1	yes	characteristic
123	C₂×#394	C₂²	1	1	yes	characteristic
124	C₂×#394	C₂²	1	1	yes	characteristic
125	C₂×#394	C₂²	1	1	yes	characteristic
126	C₂×#394	C₂²	1	1	yes	characteristic
127	C₂×#394	C₂²	1	1	yes	characteristic
128	C₂×#394	C₂²	1	1	yes	characteristic
129	C₂×#394	C₂²	1	1	yes	characteristic
130	C₂×#394	C₂²	1	1	yes	characteristic
131	C₂×#394	C₂²	1	1	yes	characteristic
132	C₂×#394	C₂²	1	1	yes	characteristic
133	C₂×#394	C₂²	1	1	yes	characteristic
134	C₂×#394	C₂²	1	1	yes	characteristic
135	C₂×#394	C₂²	1	1	yes	characteristic
136	C₂×#394	C₂²	1	1	yes	characteristic
137	C₂×#394	C₂²	1	1	yes	characteristic, complemented
138	C₂×#394	C₂²	1	1	yes	characteristic, complemented
139	C₂×#394	C₂²	1	1	yes	characteristic, complemented
140	C₂×#394	C₂²	1	1	yes	characteristic, complemented
141	C₂×#394	C₂²	1	1	yes	characteristic, complemented
142	C₂×#394	C₂²	1	1	yes	characteristic, complemented
143	C₂×#394	C₂²	1	1	yes	characteristic, complemented
144	C₂×#394	C₂²	1	1	yes	characteristic, complemented
145	C₂×#393	C₂²	1	1	yes	characteristic, complemented
146	C₂×#393	C₂²	1	1	yes	characteristic, complemented
147	C₂×#392	C₂²	1	1	yes	characteristic
148	C₂×#392	C₂²	1	1	yes	characteristic
149	C₂×#392	C₂²	1	1	yes	characteristic
150	C₂×#392	C₂²	1	1	yes	characteristic
151	C₂×#392	C₂²	1	1	yes	characteristic
152	C₂×#390	C₂²	1	1	yes	characteristic
153	C₂×#390	C₂²	1	1	yes	characteristic
154	C₂×#390	C₂²	1	1	yes	characteristic
155	C₂×#390	C₂²	1	1	yes	characteristic
156	C₂×#390	C₂²	1	1	yes	characteristic
157	C₂×#390	C₂²	1	1	yes	characteristic, complemented
158	C₂×#390	C₂²	1	1	yes	characteristic, complemented
159	C₂×#390	C₂²	1	1	yes	characteristic, complemented
160	C₂×#389	C₂²	1	1	yes	characteristic, complemented
161	C₂×#389	C₂²	1	1	yes	characteristic, complemented
162	C₂×#388	C₂²	1	1	yes	characteristic, complemented
163	C₂×#388	C₂²	1	1	yes	characteristic, complemented
164	C₂×#388	C₂²	1	1	yes	characteristic, complemented
165	C₂×#388	C₂²	1	1	yes	characteristic, complemented
166	C₂×#388	C₂²	1	1	yes	characteristic, complemented
167	C₂×#388	C₂²	1	1	yes	characteristic, complemented
168	C₂×#388	C₂²	1	1	yes	characteristic, complemented
169	C₂×#388	C₂²	1	1	yes	characteristic, complemented
170	C₂×#388	C₂²	1	1	yes	characteristic, complemented
171	C₂×#388	C₂²	1	1	yes	characteristic, complemented
172	C₂×#388	C₂²	1	1	yes	characteristic, complemented
173	C₂×#388	C₂²	1	1	yes	characteristic, complemented
174	C₂×#388	C₂²	1	1	yes	characteristic, complemented
175	C₂×#388	C₂²	1	1	yes	characteristic, complemented
176	C₂×#387	C₂²	1	1	yes	characteristic, complemented
177	C₂×#387	C₂²	1	1	yes	characteristic, complemented
178	C₂×#387	C₂²	1	1	yes	characteristic, complemented
179	C₂×#387	C₂²	1	1	yes	characteristic, complemented
180	C₂×#387	C₂²	1	1	yes	characteristic, complemented
181	C₂×#387	C₂²	1	1	yes	characteristic, complemented
182	C₂×#387	C₂²	1	1	yes	characteristic, complemented
183	C₂×#387	C₂²	1	1	yes	characteristic, complemented
184	C₂×#386	C₂²	1	1	yes	characteristic
185	C₂×#386	C₂²	1	1	yes	characteristic
186	C₂×#386	C₂²	1	1	yes	characteristic
187	C₂×#386	C₂²	1	1	yes	characteristic
188	C₂×#386	C₂²	1	1	yes	characteristic
189	C₂×#386	C₂²	1	1	yes	characteristic
190	C₂×#386	C₂²	1	1	yes	characteristic
191	C₂×#386	C₂²	1	1	yes	characteristic
192	C₂×#386	C₂²	1	1	yes	characteristic
193	C₂×#386	C₂²	1	1	yes	characteristic, complemented
194	C₂×#386	C₂²	1	1	yes	characteristic, complemented
195	C₂×#386	C₂²	1	1	yes	characteristic, complemented
196	C₂×#386	C₂²	1	1	yes	characteristic, complemented
197	C₂×#386	C₂²	1	1	yes	characteristic, complemented
198	C₂×#385	C₂²	1	1	yes	characteristic, complemented
199	C₂×#385	C₂²	1	1	yes	characteristic, complemented
200	C₂×#385	C₂²	1	1	yes	characteristic, complemented
201	C₂×#385	C₂²	1	1	yes	characteristic, complemented
202	C₂×#385	C₂²	1	1	yes	characteristic, complemented
203	C₂×#385	C₂²	1	1	yes	characteristic, complemented
204	C₂×#385	C₂²	1	1	yes	characteristic, complemented
205	C₂×#385	C₂²	1	1	yes	characteristic, complemented
206	C₂×#383	C₂²	1	1	yes	characteristic, complemented
207	C₂×#382	C₂²	1	1	yes	characteristic, complemented
208	C₂×#381	C₂²	1	1	yes	characteristic, complemented
209	C₂×#381	C₂²	1	1	yes	characteristic, complemented
210	C₂×#381	C₂²	1	1	yes	characteristic, complemented
211	C₂×#380	C₂²	1	1	yes	characteristic, complemented
212	C₂×#380	C₂²	1	1	yes	characteristic, complemented
213	C₂×#380	C₂²	1	1	yes	characteristic, complemented
214	C₂×#380	C₂²	1	1	yes	characteristic, complemented
215	C₂×#379	C₂²	1	1	yes	characteristic, complemented
216	C₂×#379	C₂²	1	1	yes	characteristic, complemented
217	C₂×#379	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂⁶	C₂³	1	1	yes	characteristic
221	C₂³×Q₈	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	1	yes	characteristic
223	C₂³×D₄	C₂³	1	1	yes	characteristic
224	C₂³×D₄	C₂³	1	1	yes	characteristic
225	C₂³×D₄	C₂³	1	1	yes	characteristic
226	C₂³×D₄	C₂³	1	1	yes	characteristic
227	C₂³×D₄	C₂³	1	1	yes	characteristic
228	C₂³×D₄	C₂³	1	1	yes	characteristic
229	C₂³×D₄	C₂³	1	1	yes	characteristic
230	C₂³×D₄	C₂³	1	1	yes	characteristic
231	C₂³×D₄	C₂³	1	1	yes	characteristic
232	C₂³×D₄	C₂³	1	1	yes	characteristic
233	C₂³×D₄	C₂³	1	1	yes	characteristic
234	C₂³×D₄	C₂³	1	1	yes	characteristic
235	C₂³×D₄	C₂³	1	1	yes	characteristic
236	C₂³×D₄	C₂³	1	1	yes	characteristic
237	C₂⁴×C₄	C₂³	1	1	yes	characteristic
238	C₂⁴×C₄	C₂³	1	1	yes	characteristic
239	C₂⁴×C₄	C₂³	1	1	yes	characteristic
240	C₂⁴×C₄	C₂³	1	1	yes	characteristic
241	C₂⁴×C₄	C₂³	1	1	yes	characteristic
242	C₂⁴×C₄	C₂³	1	1	yes	characteristic
243	C₂⁴×C₄	C₂³	1	1	yes	characteristic
244	C₂×#125	—	4	4	no	—
245	C₂×#125	C₂³	1	8	yes	complemented
246	C₂×#124	—	4	4	no	—
247	C₂×#124	—	4	4	no	—
248	C₂×#124	C₂³	1	8	yes	—
249	C₂×#124	C₂³	1	8	yes	complemented
250	C₂×#123	—	4	4	no	—
251	C₂×#123	—	4	4	no	—
252	C₂×#123	C₂³	1	8	yes	—
253	C₂×#123	C₂³	1	8	yes	—
254	C₂×C₂²⋊Q₈	—	4	4	no	—
255	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
256	C₂×#121	—	4	4	no	—
257	C₂×#121	—	4	4	no	—
258	C₂×#121	—	4	4	no	—
259	C₂×#121	—	4	4	no	—
260	C₂×#121	C₂³	1	8	yes	—
261	C₂×#121	C₂³	1	8	yes	—
262	C₂×#121	C₂³	1	8	yes	—
263	C₂×#121	C₂³	1	8	yes	—
264	C₂×#120	—	4	4	no	—
265	C₂×#120	—	4	4	no	—
266	C₂×#120	—	4	4	no	—
267	C₂×#120	—	4	4	no	—
268	C₂×#120	—	4	4	no	—
269	C₂×#120	—	4	4	no	—
270	C₂×#120	—	4	4	no	—
271	C₂×#120	—	4	4	no	—
272	C₂×#120	C₂³	1	8	yes	—
273	C₂×#120	C₂³	1	8	yes	—
274	C₂×#120	C₂³	1	8	yes	—
275	C₂×#120	C₂³	1	8	yes	—
276	C₂×#120	C₂³	1	8	yes	—
277	C₂×#120	C₂³	1	8	yes	—
278	C₂×#120	C₂³	1	8	yes	complemented
279	C₂×#120	C₂³	1	8	yes	complemented
280	C₂×C₄×D₄	—	4	4	no	—
281	C₂×C₄×D₄	—	4	4	no	—
282	C₂×C₄×D₄	—	4	4	no	—
283	C₂×C₄×D₄	C₂³	1	8	yes	—
284	C₂×C₄×D₄	C₂³	1	8	yes	—
285	C₂×C₄×D₄	C₂³	1	8	yes	complemented
286	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂²×C₂²⋊C₄	—	4	4	no	—
313	C₂²×C₂²⋊C₄	—	4	4	no	—
314	C₂²×C₂²⋊C₄	—	4	4	no	—
315	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
351	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
353	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
359	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
360	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
361	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
362	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
363	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
364	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
365	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
366	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
367	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
368	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
369	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
370	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
371	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
372	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
373	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
374	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
375	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
376	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
377	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
378	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
379	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
380	C₂²×C₄²	C₂³	1	1	yes	characteristic
381	C₂²×C₄²	C₂³	1	1	yes	characteristic
382	C₂²×C₄²	C₂³	1	1	yes	characteristic
383	C₂²×C₄²	C₂³	1	1	yes	characteristic
384	C₂²×C₄²	C₂³	1	1	yes	characteristic
385	C₂²×C₄²	C₂³	1	1	yes	characteristic
386	#400	C₂³	1	8	yes	complemented
387	#399	C₂³	1	8	yes	complemented
388	#399	C₂³	1	8	yes	complemented
389	#399	C₂³	1	8	yes	complemented
390	#398	C₂³	1	8	yes	complemented
391	#398	C₂³	1	8	yes	complemented
392	#397	C₂³	1	8	yes	complemented
393	#397	C₂³	1	8	yes	complemented
394	#397	C₂³	1	8	yes	complemented
395	#397	C₂³	1	8	yes	complemented
396	#397	C₂³	1	8	yes	complemented
397	#397	C₂³	1	8	yes	complemented
398	#397	C₂³	1	8	yes	complemented
399	#397	C₂³	1	8	yes	complemented
400	#397	C₂³	1	8	yes	complemented
401	#397	C₂³	1	8	yes	complemented
402	#397	C₂³	1	8	yes	complemented
403	#397	C₂³	1	8	yes	complemented
404	#397	C₂³	1	8	yes	complemented
405	#397	C₂³	1	8	yes	complemented
406	#397	C₂³	1	8	yes	complemented
407	#397	C₂³	1	8	yes	complemented
408	#396	C₂³	1	8	yes	complemented
409	#396	C₂³	1	8	yes	complemented
410	#396	C₂³	1	8	yes	complemented
411	#396	C₂³	1	8	yes	complemented
412	#396	C₂³	1	8	yes	complemented
413	#396	C₂³	1	8	yes	complemented
414	#396	C₂³	1	8	yes	complemented
415	#396	C₂³	1	8	yes	complemented
416	#395	C₂³	1	8	yes	complemented
417	#395	C₂³	1	8	yes	complemented
418	#394	C₂³	1	8	yes	—
419	#394	C₂³	1	8	yes	—
420	#394	C₂³	1	8	yes	—
421	#394	C₂³	1	8	yes	—
422	#394	C₂³	1	8	yes	—
423	#394	C₂³	1	8	yes	—
424	#394	C₂³	1	8	yes	—
425	#394	C₂³	1	8	yes	—
426	#394	C₂³	1	8	yes	—
427	#394	C₂³	1	8	yes	—
428	#394	C₂³	1	8	yes	—
429	#394	C₂³	1	8	yes	—
430	#394	C₂³	1	8	yes	—
431	#394	C₂³	1	8	yes	—
432	#394	C₂³	1	8	yes	—
433	#394	C₂³	1	8	yes	—
434	#394	C₂³	1	8	yes	—
435	#394	C₂³	1	8	yes	complemented
436	#394	C₂³	1	8	yes	complemented
437	#394	C₂³	1	8	yes	complemented
438	#394	C₂³	1	8	yes	complemented
439	#394	C₂³	1	8	yes	complemented
440	#394	C₂³	1	8	yes	complemented
441	#394	C₂³	1	8	yes	complemented
442	#394	C₂³	1	8	yes	complemented
443	#393	C₂³	1	8	yes	complemented
444	#393	C₂³	1	8	yes	complemented
445	#392	C₂³	1	8	yes	—
446	#392	C₂³	1	8	yes	—
447	#392	C₂³	1	8	yes	—
448	#392	C₂³	1	8	yes	—
449	#392	C₂³	1	8	yes	—
450	#390	C₂³	1	8	yes	—
451	#390	C₂³	1	8	yes	—
452	#390	C₂³	1	8	yes	—
453	#390	C₂³	1	8	yes	—
454	#390	C₂³	1	8	yes	—
455	#390	C₂³	1	8	yes	complemented
456	#390	C₂³	1	8	yes	complemented
457	#390	C₂³	1	8	yes	complemented
458	#389	C₂³	1	8	yes	complemented
459	#389	C₂³	1	8	yes	complemented
460	#388	C₂³	1	8	yes	complemented
461	#388	C₂³	1	8	yes	complemented
462	#388	C₂³	1	8	yes	complemented
463	#388	C₂³	1	8	yes	complemented
464	#388	C₂³	1	8	yes	complemented
465	#388	C₂³	1	8	yes	complemented
466	#388	C₂³	1	8	yes	complemented
467	#388	C₂³	1	8	yes	complemented
468	#388	C₂³	1	8	yes	complemented
469	#388	C₂³	1	8	yes	complemented
470	#388	C₂³	1	8	yes	complemented
471	#388	C₂³	1	8	yes	complemented
472	#388	C₂³	1	8	yes	complemented
473	#388	C₂³	1	8	yes	complemented
474	#387	C₂³	1	8	yes	complemented
475	#387	C₂³	1	8	yes	complemented
476	#387	C₂³	1	8	yes	complemented
477	#387	C₂³	1	8	yes	complemented
478	#387	C₂³	1	8	yes	complemented
479	#387	C₂³	1	8	yes	complemented
480	#387	C₂³	1	8	yes	complemented
481	#387	C₂³	1	8	yes	complemented
482	#386	C₂³	1	8	yes	—
483	#386	C₂³	1	8	yes	—
484	#386	C₂³	1	8	yes	—
485	#386	C₂³	1	8	yes	—
486	#386	C₂³	1	8	yes	—
487	#386	C₂³	1	8	yes	—
488	#386	C₂³	1	8	yes	—
489	#386	C₂³	1	8	yes	—
490	#386	C₂³	1	8	yes	—
491	#386	C₂³	1	8	yes	complemented
492	#386	C₂³	1	8	yes	complemented
493	#386	C₂³	1	8	yes	complemented
494	#386	C₂³	1	8	yes	complemented
495	#386	C₂³	1	8	yes	complemented
496	#385	C₂³	1	8	yes	complemented
497	#385	C₂³	1	8	yes	complemented
498	#385	C₂³	1	8	yes	complemented
499	#385	C₂³	1	8	yes	complemented
500	#385	C₂³	1	8	yes	complemented
501	#385	C₂³	1	8	yes	complemented
502	#385	C₂³	1	8	yes	complemented
503	#385	C₂³	1	8	yes	complemented
504	#383	C₂³	1	8	yes	complemented
505	#382	C₂³	1	8	yes	complemented
506	#381	C₂³	1	8	yes	complemented
507	#381	C₂³	1	8	yes	complemented
508	#381	C₂³	1	8	yes	complemented
509	#380	C₂³	1	8	yes	complemented
510	#380	C₂³	1	8	yes	complemented
511	#380	C₂³	1	8	yes	complemented
512	#380	C₂³	1	8	yes	complemented
513	#379	C₂³	1	8	yes	complemented
514	#379	C₂³	1	8	yes	complemented
515	#379	C₂³	1	8	yes	complemented
516	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
517	C₂×#95	C₂³	1	1	yes	characteristic
518	C₂×#95	C₂³	1	1	yes	characteristic
519	C₂×#95	C₂³	1	1	yes	characteristic
520	C₂×#95	C₂³	1	1	yes	characteristic
521	C₂×#95	C₂³	1	1	yes	characteristic
522	C₂×#95	C₂³	1	1	yes	characteristic
523	C₂×#95	C₂³	1	1	yes	characteristic
524	C₂×#95	C₂³	1	1	yes	characteristic
525	C₂×#95	C₂³	1	1	yes	characteristic
526	C₂×#95	C₂³	1	1	yes	characteristic
527	C₂×#95	C₂³	1	1	yes	characteristic
528	C₂×#95	C₂³	1	1	yes	characteristic
529	C₂×#95	C₂³	1	1	yes	characteristic
530	C₂×#95	C₂³	1	1	yes	characteristic
531	C₂×#95	C₂³	1	1	yes	characteristic
532	C₂×#95	C₂³	1	1	yes	characteristic
533	C₂×#95	C₂³	1	1	yes	characteristic
534	C₂×#95	C₂³	1	1	yes	characteristic
535	C₂×#95	C₂³	1	1	yes	characteristic
536	C₂×#95	C₂³	1	1	yes	characteristic
537	C₂×#95	C₂³	1	1	yes	characteristic
538	C₂×#95	C₂³	1	1	yes	characteristic
539	C₂×#95	C₂³	1	1	yes	characteristic
540	C₂×#95	C₂³	1	1	yes	characteristic
541	C₂×#95	C₂³	1	1	yes	characteristic
542	C₂×#95	C₂³	1	1	yes	characteristic
543	C₂×#95	C₂³	1	1	yes	characteristic
544	C₂×#95	C₂³	1	1	yes	characteristic
545	C₂×#95	C₂³	1	1	yes	characteristic
546	C₂×#95	C₂³	1	1	yes	characteristic
547	C₂×#95	C₂³	1	1	yes	characteristic
548	C₂×#95	C₂³	1	1	yes	characteristic
549	C₂×#95	C₂³	1	1	yes	characteristic
550	C₂×#95	C₂³	1	1	yes	characteristic
551	C₂×#95	C₂³	1	1	yes	characteristic
552	C₂×#95	C₂³	1	1	yes	characteristic
553	C₂⁵	—	2	4	no	—
554	C₂⁵	—	2	4	no	—
555	C₂⁵	—	2	4	no	—
556	C₂⁵	—	4	2	no	—
557	C₂⁵	—	4	2	no	—
558	C₂⁵	—	4	2	no	—
559	C₂⁵	—	4	2	no	—
560	C₂⁵	—	4	2	no	—
561	C₂⁵	—	4	2	no	—
562	C₂⁵	—	4	2	no	—
563	C₂⁵	—	4	2	no	—
564	C₂⁵	—	4	2	no	—
565	C₂⁵	—	4	2	no	—
566	C₂⁵	—	4	2	no	—
567	C₂⁵	C₂⁴	1	1	yes	characteristic
568	C₂⁵	C₂⁴	1	1	yes	characteristic
569	C₂⁵	C₂⁴	1	1	yes	characteristic
570	C₂⁵	C₂⁴	1	1	yes	characteristic
571	C₂⁵	C₂⁴	1	1	yes	characteristic
572	C₂⁵	C₂⁴	1	1	yes	characteristic
573	C₂⁵	C₂⁴	1	1	yes	characteristic
574	C₂⁵	C₂⁴	1	4	yes	—
575	C₂⁵	C₂⁴	1	4	yes	—
576	C₂²×Q₈	—	4	2	no	—
577	C₂²×Q₈	—	4	2	no	—
578	C₂²×Q₈	—	4	2	no	—
579	C₂²×Q₈	C₂⁴	1	4	yes	—
580	C₂²×D₄	—	2	4	no	—
581	C₂²×D₄	—	2	4	no	—
582	C₂²×D₄	—	2	4	no	—
583	C₂²×D₄	—	2	4	no	—
584	C₂²×D₄	—	2	4	no	—
585	C₂²×D₄	—	2	4	no	—
586	C₂²×D₄	—	2	4	no	—
587	C₂²×D₄	—	2	4	no	—
588	C₂²×D₄	—	2	4	no	—
589	C₂²×D₄	—	2	4	no	—
590	C₂²×D₄	—	2	4	no	—
591	C₂²×D₄	—	2	4	no	—
592	C₂²×D₄	—	2	4	no	—
593	C₂²×D₄	—	4	2	no	—
594	C₂²×D₄	—	4	2	no	—
595	C₂²×D₄	—	4	2	no	—
596	C₂²×D₄	—	4	2	no	—
597	C₂²×D₄	—	4	2	no	—
598	C₂²×D₄	—	4	2	no	—
599	C₂²×D₄	—	4	2	no	—
600	C₂²×D₄	—	4	2	no	—
601	C₂²×D₄	—	4	2	no	—
602	C₂²×D₄	—	4	2	no	—
603	C₂²×D₄	—	4	2	no	—
604	C₂²×D₄	—	4	2	no	—
605	C₂²×D₄	—	4	2	no	—
606	C₂²×D₄	—	4	2	no	—
607	C₂²×D₄	—	4	2	no	—
608	C₂²×D₄	—	4	2	no	—
609	C₂²×D₄	—	4	2	no	—
610	C₂²×D₄	—	4	2	no	—
611	C₂²×D₄	—	4	2	no	—
612	C₂²×D₄	—	4	2	no	—
613	C₂²×D₄	—	4	2	no	—
614	C₂²×D₄	—	4	2	no	—
615	C₂²×D₄	—	4	2	no	—
616	C₂²×D₄	—	4	2	no	—
617	C₂²×D₄	—	4	2	no	—
618	C₂²×D₄	—	4	2	no	—
619	C₂²×D₄	—	4	2	no	—
620	C₂²×D₄	—	4	2	no	—
621	C₂²×D₄	—	4	2	no	—
622	C₂²×D₄	—	4	2	no	—
623	C₂²×D₄	—	4	2	no	—
624	C₂²×D₄	—	4	2	no	—
625	C₂²×D₄	C₂⁴	1	4	yes	—
626	C₂²×D₄	C₂⁴	1	4	yes	—
627	C₂²×D₄	C₂⁴	1	4	yes	—
628	C₂²×D₄	C₂⁴	1	4	yes	—
629	C₂²×D₄	C₂⁴	1	4	yes	—
630	C₂²×D₄	C₂⁴	1	4	yes	—
631	C₂²×D₄	C₂⁴	1	4	yes	—
632	C₂²×D₄	C₂⁴	1	4	yes	—
633	C₂²×D₄	C₂⁴	1	4	yes	—
634	C₂²×D₄	C₂⁴	1	4	yes	—
635	C₂²×D₄	C₂⁴	1	4	yes	—
636	C₂²×D₄	C₂⁴	1	4	yes	—
637	C₂²×D₄	C₂⁴	1	4	yes	—
638	C₂²×D₄	C₂⁴	1	4	yes	—
639	C₂²×D₄	C₂⁴	1	4	yes	—
640	C₂³×C₄	—	2	4	no	—
641	C₂³×C₄	—	2	4	no	—
642	C₂³×C₄	—	2	4	no	—
643	C₂³×C₄	—	4	2	no	—
644	C₂³×C₄	—	4	2	no	—
645	C₂³×C₄	—	4	2	no	—
646	C₂³×C₄	—	4	2	no	—
647	C₂³×C₄	—	4	2	no	—
648	C₂³×C₄	—	4	2	no	—
649	C₂³×C₄	—	4	2	no	—
650	C₂³×C₄	—	4	2	no	—
651	C₂³×C₄	—	4	2	no	—
652	C₂³×C₄	—	4	2	no	—
653	C₂³×C₄	—	4	2	no	—
654	C₂³×C₄	—	4	2	no	—
655	C₂³×C₄	—	4	2	no	—
656	C₂³×C₄	—	4	2	no	—
657	C₂³×C₄	—	4	2	no	—
658	C₂³×C₄	—	4	2	no	—
659	C₂³×C₄	—	4	2	no	—
660	C₂³×C₄	—	4	2	no	—
661	C₂³×C₄	C₂⁴	1	1	yes	characteristic
662	C₂³×C₄	C₂⁴	1	1	yes	characteristic
663	C₂³×C₄	C₂⁴	1	1	yes	characteristic
664	C₂³×C₄	C₂⁴	1	1	yes	characteristic
665	C₂³×C₄	C₂⁴	1	1	yes	characteristic
666	C₂³×C₄	C₂⁴	1	1	yes	characteristic
667	C₂³×C₄	C₂⁴	1	1	yes	characteristic
668	C₂³×C₄	C₂⁴	1	1	yes	characteristic
669	C₂³×C₄	C₂⁴	1	1	yes	characteristic
670	C₂³×C₄	C₂⁴	1	1	yes	characteristic
671	C₂³×C₄	C₂⁴	1	1	yes	characteristic
672	C₂³×C₄	C₂⁴	1	1	yes	characteristic
673	C₂³×C₄	C₂⁴	1	1	yes	characteristic
674	C₂³×C₄	C₂⁴	1	1	yes	characteristic
675	C₂³×C₄	C₂⁴	1	1	yes	characteristic
676	C₂³×C₄	C₂⁴	1	1	yes	characteristic
677	C₂³×C₄	C₂⁴	1	1	yes	characteristic
678	C₂³×C₄	C₂⁴	1	1	yes	characteristic
679	C₂³×C₄	C₂⁴	1	1	yes	characteristic
680	C₂³×C₄	C₂⁴	1	1	yes	characteristic
681	C₂³×C₄	C₂⁴	1	1	yes	characteristic
682	C₂³×C₄	C₂⁴	1	1	yes	characteristic
683	C₂³×C₄	C₂⁴	1	1	yes	characteristic
684	C₂³×C₄	C₂⁴	1	1	yes	characteristic
685	C₂³×C₄	C₂⁴	1	4	yes	—
686	C₂³×C₄	C₂⁴	1	4	yes	—
687	C₂³×C₄	C₂⁴	1	4	yes	—
688	C₂³×C₄	C₂⁴	1	4	yes	—
689	C₂³×C₄	C₂⁴	1	4	yes	—
690	C₂³×C₄	C₂⁴	1	4	yes	—
691	C₂³×C₄	C₂⁴	1	4	yes	—
692	#125	—	4	16	no	—
693	#124	—	4	16	no	—
694	#124	—	4	16	no	—
695	#123	—	4	16	no	—
696	#123	—	4	16	no	—
697	C₂²⋊Q₈	—	4	16	no	—
698	#121	—	4	16	no	—
699	#121	—	4	16	no	—
700	#121	—	4	16	no	—
701	#121	—	4	16	no	—
702	#120	—	4	16	no	—
703	#120	—	4	16	no	—
704	#120	—	4	16	no	—
705	#120	—	4	16	no	—
706	#120	—	4	16	no	—
707	#120	—	4	16	no	—
708	#120	—	4	16	no	—
709	#120	—	4	16	no	—
710	C₄×D₄	—	4	16	no	—
711	C₄×D₄	—	4	16	no	—
712	C₄×D₄	—	4	16	no	—
713	C₂×C₄⋊C₄	—	2	4	no	—
714	C₂×C₄⋊C₄	—	2	4	no	—
715	C₂×C₄⋊C₄	—	4	2	no	—
716	C₂×C₄⋊C₄	—	4	2	no	—
717	C₂×C₄⋊C₄	—	4	2	no	—
718	C₂×C₄⋊C₄	—	4	2	no	—
719	C₂×C₄⋊C₄	—	4	2	no	—
720	C₂×C₄⋊C₄	—	4	2	no	—
721	C₂×C₄⋊C₄	—	4	2	no	—
722	C₂×C₄⋊C₄	—	4	2	no	—
723	C₂×C₄⋊C₄	—	4	2	no	—
724	C₂×C₄⋊C₄	—	4	2	no	—
725	C₂×C₄⋊C₄	—	4	2	no	—
726	C₂×C₄⋊C₄	—	4	2	no	—
727	C₂×C₄⋊C₄	—	4	2	no	—
728	C₂×C₄⋊C₄	—	4	2	no	—
729	C₂×C₄⋊C₄	—	4	2	no	—
730	C₂×C₄⋊C₄	—	4	2	no	—
731	C₂×C₄⋊C₄	—	4	2	no	—
732	C₂×C₄⋊C₄	—	4	2	no	—
733	C₂×C₄⋊C₄	—	4	2	no	—
734	C₂×C₄⋊C₄	—	4	2	no	—
735	C₂×C₄⋊C₄	—	4	2	no	—
736	C₂×C₄⋊C₄	—	4	2	no	—
737	C₂×C₄⋊C₄	—	4	2	no	—
738	C₂×C₄⋊C₄	—	4	2	no	—
739	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₂²⋊C₄	—	2	4	no	—
766	C₂×C₂²⋊C₄	—	2	4	no	—
767	C₂×C₂²⋊C₄	—	2	4	no	—
768	C₂×C₂²⋊C₄	—	2	4	no	—
769	C₂×C₂²⋊C₄	—	2	4	no	—
770	C₂×C₂²⋊C₄	—	2	4	no	—
771	C₂×C₂²⋊C₄	—	2	4	no	—
772	C₂×C₂²⋊C₄	—	2	4	no	—
773	C₂×C₂²⋊C₄	—	2	4	no	—
774	C₂×C₂²⋊C₄	—	2	4	no	—
775	C₂×C₂²⋊C₄	—	2	4	no	—
776	C₂×C₂²⋊C₄	—	2	4	no	—
777	C₂×C₂²⋊C₄	—	2	4	no	—
778	C₂×C₂²⋊C₄	—	2	4	no	—
779	C₂×C₂²⋊C₄	—	4	16	no	—
780	C₂×C₂²⋊C₄	—	4	16	no	—
781	C₂×C₂²⋊C₄	—	4	16	no	—
782	C₂×C₂²⋊C₄	—	4	2	no	—
783	C₂×C₂²⋊C₄	—	4	2	no	—
784	C₂×C₂²⋊C₄	—	4	2	no	—
785	C₂×C₂²⋊C₄	—	4	2	no	—
786	C₂×C₂²⋊C₄	—	4	2	no	—
787	C₂×C₂²⋊C₄	—	4	2	no	—
788	C₂×C₂²⋊C₄	—	4	2	no	—
789	C₂×C₂²⋊C₄	—	4	2	no	—
790	C₂×C₂²⋊C₄	—	4	2	no	—
791	C₂×C₂²⋊C₄	—	4	2	no	—
792	C₂×C₂²⋊C₄	—	4	2	no	—
793	C₂×C₂²⋊C₄	—	4	2	no	—
794	C₂×C₂²⋊C₄	—	4	2	no	—
795	C₂×C₂²⋊C₄	—	4	2	no	—
796	C₂×C₂²⋊C₄	—	4	2	no	—
797	C₂×C₂²⋊C₄	—	4	2	no	—
798	C₂×C₂²⋊C₄	—	4	2	no	—
799	C₂×C₂²⋊C₄	—	4	2	no	—
800	C₂×C₂²⋊C₄	—	4	2	no	—
801	C₂×C₂²⋊C₄	—	4	2	no	—
802	C₂×C₂²⋊C₄	—	4	2	no	—
803	C₂×C₂²⋊C₄	—	4	2	no	—
804	C₂×C₂²⋊C₄	—	4	2	no	—
805	C₂×C₂²⋊C₄	—	4	2	no	—
806	C₂×C₂²⋊C₄	—	4	2	no	—
807	C₂×C₂²⋊C₄	—	4	2	no	—
808	C₂×C₂²⋊C₄	—	4	2	no	—
809	C₂×C₂²⋊C₄	—	4	2	no	—
810	C₂×C₂²⋊C₄	—	4	2	no	—
811	C₂×C₂²⋊C₄	—	4	2	no	—
812	C₂×C₂²⋊C₄	—	4	2	no	—
813	C₂×C₂²⋊C₄	—	4	2	no	—
814	C₂×C₂²⋊C₄	—	4	2	no	—
815	C₂×C₂²⋊C₄	—	4	2	no	—
816	C₂×C₂²⋊C₄	—	4	2	no	—
817	C₂×C₂²⋊C₄	—	4	2	no	—
818	C₂×C₂²⋊C₄	—	4	2	no	—
819	C₂×C₂²⋊C₄	—	4	2	no	—
820	C₂×C₂²⋊C₄	—	4	2	no	—
821	C₂×C₂²⋊C₄	—	4	2	no	—
822	C₂×C₂²⋊C₄	—	4	2	no	—
823	C₂×C₂²⋊C₄	—	4	2	no	—
824	C₂×C₂²⋊C₄	—	4	2	no	—
825	C₂×C₂²⋊C₄	—	4	2	no	—
826	C₂×C₂²⋊C₄	—	4	2	no	—
827	C₂×C₂²⋊C₄	—	4	2	no	—
828	C₂×C₂²⋊C₄	—	4	2	no	—
829	C₂×C₂²⋊C₄	—	4	2	no	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₄²	—	2	4	no	—
893	C₂×C₄²	—	4	2	no	—
894	C₂×C₄²	—	4	2	no	—
895	C₂×C₄²	—	4	2	no	—
896	C₂×C₄²	—	4	2	no	—
897	C₂×C₄²	—	4	2	no	—
898	C₂×C₄²	C₂⁴	1	4	yes	—
899	C₂×C₄²	C₂⁴	1	4	yes	—
900	C₂×C₄²	C₂⁴	1	4	yes	—
901	C₂×C₄²	C₂⁴	1	4	yes	—
902	C₂×C₄²	C₂⁴	1	4	yes	—
903	C₂×C₄²	C₂⁴	1	4	yes	—
904	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	4	yes	—
906	#95	C₂⁴	1	4	yes	—
907	#95	C₂⁴	1	4	yes	—
908	#95	C₂⁴	1	4	yes	—
909	#95	C₂⁴	1	4	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	4	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	C₂⁴	—	2	2	no	—
941	C₂⁴	—	2	2	no	—
942	C₂⁴	—	2	2	no	—
943	C₂⁴	—	2	2	no	—
944	C₂⁴	—	2	2	no	—
945	C₂⁴	—	2	2	no	—
946	C₂⁴	—	2	2	no	—
947	C₂⁴	—	2	2	no	—
948	C₂⁴	—	2	2	no	—
949	C₂⁴	—	2	2	no	—
950	C₂⁴	—	2	2	no	—
951	C₂⁴	—	2	2	no	—
952	C₂⁴	—	2	2	no	—
953	C₂⁴	—	2	2	no	—
954	C₂⁴	—	2	2	no	—
955	C₂⁴	—	2	2	no	—
956	C₂⁴	—	2	2	no	—
957	C₂⁴	—	2	2	no	—
958	C₂⁴	—	2	2	no	—
959	C₂⁴	—	2	2	no	—
960	C₂⁴	—	2	2	no	—
961	C₂⁴	—	2	2	no	—
962	C₂⁴	—	2	2	no	—
963	C₂⁴	—	2	2	no	—
964	C₂⁴	—	2	2	no	—
965	C₂⁴	—	2	2	no	—
966	C₂⁴	—	2	2	no	—
967	C₂⁴	—	2	2	no	—
968	C₂⁴	—	2	2	no	—
969	C₂⁴	—	2	2	no	—
970	C₂⁴	—	2	2	no	—
971	C₂⁴	—	2	2	no	—
972	C₂⁴	—	2	2	no	—
973	C₂⁴	—	2	2	no	—
974	C₂⁴	—	2	2	no	—
975	C₂⁴	—	2	2	no	—
976	C₂⁴	—	2	2	no	—
977	C₂⁴	—	2	2	no	—
978	C₂⁴	—	2	2	no	—
979	C₂⁴	—	2	2	no	—
980	C₂⁴	—	2	2	no	—
981	C₂⁴	—	2	2	no	—
982	C₂⁴	—	2	2	no	—
983	C₂⁴	—	2	2	no	—
984	C₂⁴	—	2	2	no	—
985	C₂⁴	—	2	2	no	—
986	C₂⁴	—	2	8	no	—
987	C₂⁴	—	2	8	no	—
988	C₂⁴	—	2	8	no	—
989	C₂⁴	—	4	4	no	—
990	C₂⁴	—	4	4	no	—
991	C₂⁴	—	4	4	no	—
992	C₂⁴	—	4	4	no	—
993	C₂⁴	—	4	4	no	—
994	C₂⁴	—	4	4	no	—
995	C₂⁴	—	4	4	no	—
996	C₂⁴	—	4	4	no	—
997	C₂⁴	—	4	4	no	—
998	C₂⁴	—	4	4	no	—
999	C₂⁴	—	4	4	no	—
1000	C₂⁴	—	4	16	no	—
1001	C₂⁴	—	4	16	no	—
1002	C₂⁴	—	4	16	no	—
1003	C₂⁴	—	8	8	no	—
1004	C₂⁴	—	8	8	no	—
1005	C₂⁴	—	8	8	no	—
1006	C₂⁴	—	8	8	no	—
1007	C₂⁴	—	8	8	no	—
1008	C₂⁴	—	8	8	no	—
1009	C₂⁴	—	8	8	no	—
1010	C₂⁴	—	8	8	no	—
1011	C₂⁴	—	8	8	no	—
1012	C₂⁴	—	8	8	no	—
1013	C₂⁴	—	8	8	no	—
1014	C₂⁴	H(5,𝔽₂)	1	4	yes	—
1015	C₂⁴	H(5,𝔽₂)	1	4	yes	—
1016	C₂⁴	H(5,𝔽₂)	1	4	yes	—
1017	C₂⁴	C₂⁵	1	2	yes	—
1018	C₂⁴	C₂⁵	1	2	yes	—
1019	C₂⁴	C₂⁵	1	2	yes	—
1020	C₂⁴	C₂⁵	1	2	yes	—
1021	C₂⁴	C₂⁵	1	2	yes	—
1022	C₂⁴	C₂⁵	1	2	yes	—
1023	C₂⁴	C₂⁵	1	2	yes	—
1024	C₂⁴	C₂⁵	1	1	yes	characteristic
1025	C₂×Q₈	—	4	4	no	—
1026	C₂×Q₈	—	4	4	no	—
1027	C₂×Q₈	—	4	4	no	—
1028	C₂×Q₈	—	8	8	no	—
1029	C₂×D₄	—	2	8	no	—
1030	C₂×D₄	—	2	8	no	—
1031	C₂×D₄	—	2	8	no	—
1032	C₂×D₄	—	2	8	no	—
1033	C₂×D₄	—	2	8	no	—
1034	C₂×D₄	—	2	8	no	—
1035	C₂×D₄	—	2	8	no	—
1036	C₂×D₄	—	2	8	no	—
1037	C₂×D₄	—	2	8	no	—
1038	C₂×D₄	—	2	8	no	—
1039	C₂×D₄	—	2	8	no	—
1040	C₂×D₄	—	2	8	no	—
1041	C₂×D₄	—	2	8	no	—
1042	C₂×D₄	—	4	4	no	—
1043	C₂×D₄	—	4	4	no	—
1044	C₂×D₄	—	4	4	no	—
1045	C₂×D₄	—	4	16	no	—
1046	C₂×D₄	—	4	4	no	—
1047	C₂×D₄	—	4	4	no	—
1048	C₂×D₄	—	4	4	no	—
1049	C₂×D₄	—	4	4	no	—
1050	C₂×D₄	—	4	4	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	4	4	no	—
1057	C₂×D₄	—	4	4	no	—
1058	C₂×D₄	—	4	4	no	—
1059	C₂×D₄	—	4	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	4	no	—
1064	C₂×D₄	—	4	4	no	—
1065	C₂×D₄	—	4	4	no	—
1066	C₂×D₄	—	4	4	no	—
1067	C₂×D₄	—	4	4	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	4	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	4	4	no	—
1072	C₂×D₄	—	4	4	no	—
1073	C₂×D₄	—	4	4	no	—
1074	C₂×D₄	—	4	4	no	—
1075	C₂×D₄	—	4	16	no	—
1076	C₂×D₄	—	4	16	no	—
1077	C₂×D₄	—	8	8	no	—
1078	C₂×D₄	—	8	8	no	—
1079	C₂×D₄	—	8	8	no	—
1080	C₂×D₄	—	8	8	no	—
1081	C₂×D₄	—	8	8	no	—
1082	C₂×D₄	—	8	8	no	—
1083	C₂×D₄	—	8	8	no	—
1084	C₂×D₄	—	8	8	no	—
1085	C₂×D₄	—	8	8	no	—
1086	C₂×D₄	—	8	8	no	—
1087	C₂×D₄	—	8	8	no	—
1088	C₂×D₄	—	8	8	no	—
1089	C₂²×C₄	—	2	2	no	—
1090	C₂²×C₄	—	2	2	no	—
1091	C₂²×C₄	—	2	2	no	—
1092	C₂²×C₄	—	2	2	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	2	no	—
1096	C₂²×C₄	—	2	2	no	—
1097	C₂²×C₄	—	2	2	no	—
1098	C₂²×C₄	—	2	2	no	—
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	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	2	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	2	no	—
1119	C₂²×C₄	—	2	2	no	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	2	2	no	—
1126	C₂²×C₄	—	2	2	no	—
1127	C₂²×C₄	—	2	2	no	—
1128	C₂²×C₄	—	2	2	no	—
1129	C₂²×C₄	—	2	2	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	2	2	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	2	2	no	—
1153	C₂²×C₄	—	2	2	no	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	8	no	—
1161	C₂²×C₄	—	2	8	no	—
1162	C₂²×C₄	—	2	8	no	—
1163	C₂²×C₄	—	4	4	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	—	4	4	no	—
1177	C₂²×C₄	—	4	4	no	—
1178	C₂²×C₄	—	4	4	no	—
1179	C₂²×C₄	—	4	4	no	—
1180	C₂²×C₄	—	4	4	no	—
1181	C₂²×C₄	—	8	8	no	—
1182	C₂²×C₄	—	8	8	no	—
1183	C₂²×C₄	—	8	8	no	—
1184	C₂²×C₄	—	8	8	no	—
1185	C₂²×C₄	—	8	8	no	—
1186	C₂²×C₄	—	8	8	no	—
1187	C₂²×C₄	—	8	8	no	—
1188	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1189	C₂²×C₄	C₂⁵	1	2	yes	—
1190	C₂²×C₄	C₂⁵	1	2	yes	—
1191	C₂²×C₄	C₂⁵	1	2	yes	—
1192	C₂²×C₄	C₂⁵	1	2	yes	—
1193	C₂²×C₄	C₂⁵	1	2	yes	—
1194	C₂²×C₄	C₂⁵	1	2	yes	—
1195	C₂²×C₄	C₂⁵	1	2	yes	—
1196	C₂²×C₄	C₂⁵	1	2	yes	—
1197	C₂²×C₄	C₂⁵	1	2	yes	—
1198	C₂²×C₄	C₂⁵	1	2	yes	—
1199	C₂²×C₄	C₂⁵	1	2	yes	—
1200	C₂²×C₄	C₂⁵	1	2	yes	—
1201	C₂²×C₄	C₂⁵	1	2	yes	—
1202	C₂²×C₄	C₂⁵	1	2	yes	—
1203	C₂²×C₄	C₂⁵	1	2	yes	—
1204	C₂²×C₄	C₂⁵	1	2	yes	—
1205	C₂²×C₄	C₂⁵	1	2	yes	—
1206	C₂²×C₄	C₂⁵	1	2	yes	—
1207	C₂²×C₄	C₂⁵	1	2	yes	—
1208	C₂²×C₄	C₂⁵	1	2	yes	—
1209	C₂²×C₄	C₂⁵	1	2	yes	—
1210	C₂²×C₄	C₂⁵	1	2	yes	—
1211	C₂²×C₄	C₂⁵	1	2	yes	—
1212	C₂²×C₄	C₂⁵	1	2	yes	—
1213	C₄⋊C₄	—	2	8	no	—
1214	C₄⋊C₄	—	2	8	no	—
1215	C₄⋊C₄	—	4	4	no	—
1216	C₄⋊C₄	—	4	4	no	—
1217	C₄⋊C₄	—	4	4	no	—
1218	C₄⋊C₄	—	4	4	no	—
1219	C₄⋊C₄	—	4	4	no	—
1220	C₄⋊C₄	—	4	4	no	—
1221	C₄⋊C₄	—	4	4	no	—
1222	C₄⋊C₄	—	4	4	no	—
1223	C₄⋊C₄	—	4	4	no	—
1224	C₄⋊C₄	—	4	4	no	—
1225	C₄⋊C₄	—	4	4	no	—
1226	C₄⋊C₄	—	4	4	no	—
1227	C₄⋊C₄	—	4	4	no	—
1228	C₄⋊C₄	—	4	4	no	—
1229	C₄⋊C₄	—	4	4	no	—
1230	C₄⋊C₄	—	4	4	no	—
1231	C₄⋊C₄	—	4	4	no	—
1232	C₄⋊C₄	—	4	4	no	—
1233	C₄⋊C₄	—	4	4	no	—
1234	C₄⋊C₄	—	4	4	no	—
1235	C₄⋊C₄	—	4	4	no	—
1236	C₄⋊C₄	—	4	4	no	—
1237	C₄⋊C₄	—	4	4	no	—
1238	C₄⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	2	8	no	—
1240	C₂²⋊C₄	—	2	8	no	—
1241	C₂²⋊C₄	—	2	8	no	—
1242	C₂²⋊C₄	—	2	8	no	—
1243	C₂²⋊C₄	—	2	8	no	—
1244	C₂²⋊C₄	—	2	8	no	—
1245	C₂²⋊C₄	—	2	8	no	—
1246	C₂²⋊C₄	—	2	8	no	—
1247	C₂²⋊C₄	—	2	8	no	—
1248	C₂²⋊C₄	—	2	8	no	—
1249	C₂²⋊C₄	—	2	8	no	—
1250	C₂²⋊C₄	—	2	8	no	—
1251	C₂²⋊C₄	—	2	8	no	—
1252	C₂²⋊C₄	—	2	8	no	—
1253	C₂²⋊C₄	—	4	4	no	—
1254	C₂²⋊C₄	—	4	4	no	—
1255	C₂²⋊C₄	—	4	4	no	—
1256	C₂²⋊C₄	—	4	4	no	—
1257	C₂²⋊C₄	—	4	4	no	—
1258	C₂²⋊C₄	—	4	4	no	—
1259	C₂²⋊C₄	—	4	4	no	—
1260	C₂²⋊C₄	—	4	4	no	—
1261	C₂²⋊C₄	—	4	4	no	—
1262	C₂²⋊C₄	—	4	4	no	—
1263	C₂²⋊C₄	—	4	4	no	—
1264	C₂²⋊C₄	—	4	4	no	—
1265	C₂²⋊C₄	—	4	4	no	—
1266	C₂²⋊C₄	—	4	4	no	—
1267	C₂²⋊C₄	—	4	4	no	—
1268	C₂²⋊C₄	—	4	4	no	—
1269	C₂²⋊C₄	—	4	4	no	—
1270	C₂²⋊C₄	—	4	4	no	—
1271	C₂²⋊C₄	—	4	4	no	—
1272	C₂²⋊C₄	—	4	4	no	—
1273	C₂²⋊C₄	—	4	4	no	—
1274	C₂²⋊C₄	—	4	4	no	—
1275	C₂²⋊C₄	—	4	4	no	—
1276	C₂²⋊C₄	—	4	4	no	—
1277	C₂²⋊C₄	—	4	4	no	—
1278	C₂²⋊C₄	—	4	4	no	—
1279	C₂²⋊C₄	—	4	4	no	—
1280	C₂²⋊C₄	—	4	4	no	—
1281	C₂²⋊C₄	—	4	4	no	—
1282	C₂²⋊C₄	—	4	4	no	—
1283	C₂²⋊C₄	—	4	4	no	—
1284	C₂²⋊C₄	—	4	4	no	—
1285	C₂²⋊C₄	—	4	4	no	—
1286	C₂²⋊C₄	—	4	4	no	—
1287	C₂²⋊C₄	—	4	4	no	—
1288	C₂²⋊C₄	—	4	4	no	—
1289	C₂²⋊C₄	—	4	4	no	—
1290	C₂²⋊C₄	—	4	4	no	—
1291	C₂²⋊C₄	—	4	4	no	—
1292	C₂²⋊C₄	—	4	4	no	—
1293	C₂²⋊C₄	—	4	4	no	—
1294	C₂²⋊C₄	—	4	4	no	—
1295	C₂²⋊C₄	—	4	4	no	—
1296	C₂²⋊C₄	—	4	4	no	—
1297	C₂²⋊C₄	—	4	4	no	—
1298	C₂²⋊C₄	—	4	4	no	—
1299	C₂²⋊C₄	—	4	4	no	—
1300	C₂²⋊C₄	—	4	4	no	—
1301	C₄²	—	2	8	no	—
1302	C₄²	—	4	4	no	—
1303	C₄²	—	4	4	no	—
1304	C₄²	—	4	4	no	—
1305	C₄²	—	4	4	no	—
1306	C₄²	—	4	4	no	—
1307	C₂³	—	2	2	no	—
1308	C₂³	—	2	2	no	—
1309	C₂³	—	2	2	no	—
1310	C₂³	—	2	2	no	—
1311	C₂³	—	2	2	no	—
1312	C₂³	—	2	2	no	—
1313	C₂³	—	2	2	no	—
1314	C₂³	—	2	2	no	—
1315	C₂³	—	2	2	no	—
1316	C₂³	—	2	2	no	—
1317	C₂³	—	2	2	no	—
1318	C₂³	—	2	2	no	—
1319	C₂³	—	2	2	no	—
1320	C₂³	—	2	2	no	—
1321	C₂³	—	2	2	no	—
1322	C₂³	—	2	2	no	—
1323	C₂³	—	2	2	no	—
1324	C₂³	—	2	2	no	—
1325	C₂³	—	2	8	no	—
1326	C₂³	—	2	8	no	—
1327	C₂³	—	2	8	no	—
1328	C₂³	—	2	8	no	—
1329	C₂³	—	2	8	no	—
1330	C₂³	—	2	8	no	—
1331	C₂³	—	2	8	no	—
1332	C₂³	—	2	8	no	—
1333	C₂³	—	2	8	no	—
1334	C₂³	—	2	2	no	—
1335	C₂³	—	2	2	no	—
1336	C₂³	—	2	2	no	—
1337	C₂³	—	2	2	no	—
1338	C₂³	—	2	2	no	—
1339	C₂³	—	2	2	no	—
1340	C₂³	—	2	2	no	—
1341	C₂³	—	2	2	no	—
1342	C₂³	—	2	2	no	—
1343	C₂³	—	2	2	no	—
1344	C₂³	—	2	2	no	—
1345	C₂³	—	2	2	no	—
1346	C₂³	—	2	2	no	—
1347	C₂³	—	2	2	no	—
1348	C₂³	—	2	2	no	—
1349	C₂³	—	2	2	no	—
1350	C₂³	—	2	2	no	—
1351	C₂³	—	2	2	no	—
1352	C₂³	—	2	2	no	—
1353	C₂³	—	2	2	no	—
1354	C₂³	—	2	2	no	—
1355	C₂³	—	2	2	no	—
1356	C₂³	—	2	2	no	—
1357	C₂³	—	2	2	no	—
1358	C₂³	—	2	2	no	—
1359	C₂³	—	2	2	no	—
1360	C₂³	—	2	2	no	—
1361	C₂³	—	2	2	no	—
1362	C₂³	—	4	16	no	—
1363	C₂³	—	4	16	no	—
1364	C₂³	—	4	4	no	—
1365	C₂³	—	4	4	no	—
1366	C₂³	—	4	4	no	—
1367	C₂³	—	4	4	no	—
1368	C₂³	—	4	4	no	—
1369	C₂³	—	4	4	no	—
1370	C₂³	—	4	4	no	—
1371	C₂³	—	4	4	no	—
1372	C₂³	—	4	4	no	—
1373	C₂³	—	4	4	no	—
1374	C₂³	—	4	4	no	—
1375	C₂³	—	4	4	no	—
1376	C₂³	—	4	16	no	—
1377	C₂³	—	4	4	no	—
1378	C₂³	—	4	4	no	—
1379	C₂³	—	4	4	no	—
1380	C₂³	—	4	4	no	—
1381	C₂³	—	4	4	no	—
1382	C₂³	—	4	4	no	—
1383	C₂³	—	4	4	no	—
1384	C₂³	—	4	4	no	—
1385	C₂³	—	4	4	no	—
1386	C₂³	—	4	4	no	—
1387	C₂³	—	4	4	no	—
1388	C₂³	—	4	4	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	4	4	no	—
1391	C₂³	—	4	4	no	—
1392	C₂³	—	4	4	no	—
1393	C₂³	—	4	4	no	—
1394	C₂³	—	4	4	no	—
1395	C₂³	—	4	4	no	—
1396	C₂³	—	4	4	no	—
1397	C₂³	—	4	4	no	—
1398	C₂³	—	4	4	no	—
1399	C₂³	—	4	4	no	—
1400	C₂³	—	4	4	no	—
1401	C₂³	—	4	4	no	—
1402	C₂³	—	4	4	no	—
1403	C₂³	—	4	4	no	—
1404	C₂³	—	4	4	no	—
1405	C₂³	—	8	8	no	—
1406	C₂³	—	8	8	no	—
1407	C₂³	—	8	8	no	—
1408	C₂³	—	8	8	no	—
1409	C₂³	—	8	8	no	—
1410	C₂³	—	8	8	no	—
1411	C₂³	—	8	8	no	—
1412	C₂³	—	8	8	no	—
1413	C₂³	—	8	8	no	—
1414	C₂³	—	8	8	no	—
1415	C₂³	—	8	8	no	—
1416	C₂³	—	8	64	no	—
1417	C₂³	—	8	64	no	—
1418	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1419	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1420	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1421	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1422	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1423	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1424	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1425	C₂³	#585	1	2	yes	—
1426	C₂³	#585	1	2	yes	—
1427	C₂³	#585	1	2	yes	—
1428	C₂³	C₂⁶	1	1	yes	characteristic
1429	Q₈	—	8	8	no	—
1430	D₄	—	4	16	no	—
1431	D₄	—	4	16	no	—
1432	D₄	—	4	16	no	—
1433	D₄	—	8	8	no	—
1434	D₄	—	8	8	no	—
1435	D₄	—	8	8	no	—
1436	D₄	—	8	8	no	—
1437	D₄	—	8	8	no	—
1438	D₄	—	8	8	no	—
1439	D₄	—	8	8	no	—
1440	D₄	—	8	8	no	—
1441	D₄	—	8	8	no	—
1442	D₄	—	8	8	no	—
1443	D₄	—	8	8	no	—
1444	D₄	—	8	8	no	—
1445	C₂×C₄	—	2	2	no	—
1446	C₂×C₄	—	2	2	no	—
1447	C₂×C₄	—	2	8	no	—
1448	C₂×C₄	—	2	2	no	—
1449	C₂×C₄	—	2	2	no	—
1450	C₂×C₄	—	2	2	no	—
1451	C₂×C₄	—	2	2	no	—
1452	C₂×C₄	—	2	2	no	—
1453	C₂×C₄	—	2	2	no	—
1454	C₂×C₄	—	2	2	no	—
1455	C₂×C₄	—	2	2	no	—
1456	C₂×C₄	—	2	2	no	—
1457	C₂×C₄	—	2	2	no	—
1458	C₂×C₄	—	2	2	no	—
1459	C₂×C₄	—	2	2	no	—
1460	C₂×C₄	—	2	2	no	—
1461	C₂×C₄	—	2	2	no	—
1462	C₂×C₄	—	2	2	no	—
1463	C₂×C₄	—	2	2	no	—
1464	C₂×C₄	—	2	2	no	—
1465	C₂×C₄	—	2	2	no	—
1466	C₂×C₄	—	2	2	no	—
1467	C₂×C₄	—	2	2	no	—
1468	C₂×C₄	—	2	2	no	—
1469	C₂×C₄	—	2	2	no	—
1470	C₂×C₄	—	2	2	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	2	no	—
1484	C₂×C₄	—	2	2	no	—
1485	C₂×C₄	—	2	2	no	—
1486	C₂×C₄	—	2	2	no	—
1487	C₂×C₄	—	2	2	no	—
1488	C₂×C₄	—	2	2	no	—
1489	C₂×C₄	—	2	2	no	—
1490	C₂×C₄	—	2	2	no	—
1491	C₂×C₄	—	2	2	no	—
1492	C₂×C₄	—	2	2	no	—
1493	C₂×C₄	—	2	2	no	—
1494	C₂×C₄	—	2	2	no	—
1495	C₂×C₄	—	2	2	no	—
1496	C₂×C₄	—	2	2	no	—
1497	C₂×C₄	—	2	2	no	—
1498	C₂×C₄	—	2	2	no	—
1499	C₂×C₄	—	2	2	no	—
1500	C₂×C₄	—	2	2	no	—
1501	C₂×C₄	—	2	2	no	—
1502	C₂×C₄	—	2	2	no	—
1503	C₂×C₄	—	2	2	no	—
1504	C₂×C₄	—	2	2	no	—
1505	C₂×C₄	—	2	2	no	—
1506	C₂×C₄	—	2	2	no	—
1507	C₂×C₄	—	2	2	no	—
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	2	no	—
1510	C₂×C₄	—	2	2	no	—
1511	C₂×C₄	—	2	2	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	2	no	—
1514	C₂×C₄	—	2	2	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	4	4	no	—
1518	C₂×C₄	—	4	4	no	—
1519	C₂×C₄	—	4	4	no	—
1520	C₂×C₄	—	4	4	no	—
1521	C₂×C₄	—	4	4	no	—
1522	C₂×C₄	—	4	4	no	—
1523	C₂×C₄	—	4	4	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	4	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	4	no	—
1531	C₂×C₄	—	4	4	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	4	4	no	—
1535	C₂×C₄	—	4	4	no	—
1536	C₂×C₄	—	4	4	no	—
1537	C₂×C₄	—	4	4	no	—
1538	C₂×C₄	—	4	4	no	—
1539	C₂×C₄	—	4	4	no	—
1540	C₂×C₄	—	8	8	no	—
1541	C₂×C₄	—	8	8	no	—
1542	C₂×C₄	—	8	8	no	—
1543	C₂×C₄	—	8	8	no	—
1544	C₂×C₄	—	8	8	no	—
1545	C₂×C₄	—	8	8	no	—
1546	C₂×C₄	—	8	8	no	—
1547	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1548	C₂²	—	2	4	no	—
1549	C₂²	—	2	4	no	—
1550	C₂²	—	2	4	no	—
1551	C₂²	—	2	4	no	—
1552	C₂²	—	2	4	no	—
1553	C₂²	—	2	4	no	—
1554	C₂²	—	2	4	no	—
1555	C₂²	—	2	4	no	—
1556	C₂²	—	2	4	no	—
1557	C₂²	—	4	2	no	—
1558	C₂²	—	4	2	no	—
1559	C₂²	—	4	2	no	—
1560	C₂²	—	4	2	no	—
1561	C₂²	—	4	2	no	—
1562	C₂²	—	4	2	no	—
1563	C₂²	—	4	2	no	—
1564	C₂²	—	4	2	no	—
1565	C₂²	—	4	2	no	—
1566	C₂²	—	4	2	no	—
1567	C₂²	—	4	2	no	—
1568	C₂²	—	4	2	no	—
1569	C₂²	—	4	16	no	—
1570	C₂²	—	4	16	no	—
1571	C₂²	—	4	16	no	—
1572	C₂²	—	4	2	no	—
1573	C₂²	—	4	2	no	—
1574	C₂²	—	4	2	no	—
1575	C₂²	—	4	2	no	—
1576	C₂²	—	4	2	no	—
1577	C₂²	—	4	2	no	—
1578	C₂²	—	4	2	no	—
1579	C₂²	—	4	2	no	—
1580	C₂²	—	4	2	no	—
1581	C₂²	—	4	2	no	—
1582	C₂²	—	4	2	no	—
1583	C₂²	—	4	2	no	—
1584	C₂²	—	4	2	no	—
1585	C₂²	—	4	2	no	—
1586	C₂²	—	4	2	no	—
1587	C₂²	—	4	2	no	—
1588	C₂²	—	4	2	no	—
1589	C₂²	—	4	2	no	—
1590	C₂²	—	4	2	no	—
1591	C₂²	—	4	2	no	—
1592	C₂²	—	4	2	no	—
1593	C₂²	—	4	2	no	—
1594	C₂²	—	4	2	no	—
1595	C₂²	—	4	2	no	—
1596	C₂²	—	4	2	no	—
1597	C₂²	—	4	2	no	—
1598	C₂²	—	4	2	no	—
1599	C₂²	—	4	2	no	—
1600	C₂²	—	8	32	no	—
1601	C₂²	—	8	32	no	—
1602	C₂²	—	8	8	no	—
1603	C₂²	—	8	8	no	—
1604	C₂²	—	8	8	no	—
1605	C₂²	—	8	8	no	—
1606	C₂²	#3533	1	4	yes	—
1607	C₂²	#3534	1	4	yes	—
1608	C₂²	#3534	1	4	yes	—
1609	C₂²	#3534	1	4	yes	—
1610	C₂²	#3537	1	4	yes	—
1611	C₂²	#3540	1	4	yes	—
1612	C₂²	#3545	1	4	yes	—
1613	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1614	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1615	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1616	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1617	C₂²	C₂×#585	1	1	yes	characteristic
1618	C₂²	C₂×#585	1	1	yes	characteristic
1619	C₂²	C₂×#585	1	1	yes	characteristic
1620	C₄	—	2	4	no	—
1621	C₄	—	4	2	no	—
1622	C₄	—	4	2	no	—
1623	C₄	—	4	2	no	—
1624	C₄	—	4	2	no	—
1625	C₄	—	4	2	no	—
1626	C₄	—	4	2	no	—
1627	C₄	—	4	2	no	—
1628	C₄	—	4	2	no	—
1629	C₄	—	4	2	no	—
1630	C₄	—	4	2	no	—
1631	C₄	—	4	2	no	—
1632	C₄	—	4	2	no	—
1633	C₄	—	4	2	no	—
1634	C₄	—	4	2	no	—
1635	C₄	—	4	2	no	—
1636	C₄	—	4	2	no	—
1637	C₄	—	4	2	no	—
1638	C₄	—	4	2	no	—
1639	C₄	—	4	2	no	—
1640	C₄	—	4	2	no	—
1641	C₄	—	4	2	no	—
1642	C₄	—	4	2	no	—
1643	C₄	—	4	2	no	—
1644	C₂	—	4	4	no	—
1645	C₂	—	4	4	no	—
1646	C₂	—	4	4	no	—
1647	C₂	—	8	2	no	—
1648	C₂	—	8	2	no	—
1649	C₂	—	8	2	no	—
1650	C₂	—	8	2	no	—
1651	C₂	#54389	1	8	yes	direct product factor
1652	C₂	C₂×#3534	1	1	yes	characteristic
1653	C₂	C₂×#3534	1	1	yes	characteristic
1654	C₂	C₂×#3534	1	1	yes	characteristic
1655	C₂	C₂×#3537	1	1	yes	characteristic
1656	C₂	C₂×#3533	1	1	yes	characteristic
1657	C₂	C₂×#3540	1	1	yes	characteristic
1658	C₂	C₂×#3545	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #54389	C₂	direct (N × H)
2. C₂×#2800	C₂	semidirect
3. C₂×#2797	C₂	semidirect
4. C₂×#2796	C₂	semidirect
5. C₂×#2786	C₂	semidirect
6. C₂×#2781	C₂	semidirect
7. C₂×#2757	C₂	semidirect
8. C₂×#2752	C₂	semidirect
9. C₂×#2749	C₂	semidirect
10. C₂×#2737	C₂	semidirect
11. C₂×#2711	C₂	semidirect
12. C₂×#2697	C₂	semidirect
13. C₂×#2686	C₂	semidirect
14. C₂×#2679	C₂	semidirect
15. C₂×#2672	C₂	semidirect
16. C₂×#2670	C₂	semidirect
17. C₂×#2668	C₂	semidirect
18. C₂×#2820	C₂	semidirect
19. C₂×#2829	C₂	semidirect
20. C₂×#2812	C₂	semidirect
21. C₂×#2534	C₂	semidirect
22. C₂×#2420	C₂	semidirect
23. C₂×#2460	C₂	semidirect
24. C₂×#2472	C₂	semidirect
25. C₂×#2412	C₂	semidirect
26. C₂×#2424	C₂	semidirect
27. C₂×#2424	C₂	semidirect
28. C₂×#2424	C₂	semidirect
29. C₂×#2418	C₂	semidirect
30. C₂×#2638	C₂	semidirect
31. C₂×#2630	C₂	semidirect
32. C₂×#2622	C₂	semidirect
33. C₂²×#125	C₂²	semidirect
35. C₂²×#124	C₂²	semidirect
38. C₂²×C₂²⋊Q₈	C₂²	semidirect
49. C₂²×#120	C₂²	semidirect
50. C₂²×#120	C₂²	semidirect
53. C₂²×C₄×D₄	C₂²	semidirect
54. C₂³×C₂²⋊C₄	C₂²	semidirect
55. C₂³×C₂²⋊C₄	C₂²	semidirect
56. C₂³×C₂²⋊C₄	C₂²	semidirect
57. #2829	C₂²	semidirect
58. #2820	C₂²	semidirect
59. #2812	C₂²	semidirect
60. #2800	C₂²	semidirect
61. #2797	C₂²	semidirect
62. #2796	C₂²	semidirect
63. #2786	C₂²	semidirect
64. #2781	C₂²	semidirect
65. #2757	C₂²	semidirect
66. #2752	C₂²	semidirect
67. #2749	C₂²	semidirect
68. #2737	C₂²	semidirect
69. #2711	C₂²	semidirect
70. #2697	C₂²	semidirect
71. #2686	C₂²	semidirect
72. #2679	C₂²	semidirect
73. #2672	C₂²	semidirect
74. #2670	C₂²	semidirect
75. #2668	C₂²	semidirect
76. #2638	C₂²	semidirect
77. #2630	C₂²	semidirect
78. #2622	C₂²	semidirect
79. #2534	C₂²	semidirect
80. #2472	C₂²	semidirect
81. #2460	C₂²	semidirect
82. #2424	C₂²	semidirect
83. #2424	C₂²	semidirect
84. #2424	C₂²	semidirect
85. #2420	C₂²	semidirect
86. #2418	C₂²	semidirect
87. #2412	C₂²	semidirect
88. C₂×#400	C₂²	semidirect
89. C₂×#399	C₂²	semidirect
90. C₂×#399	C₂²	semidirect
91. C₂×#399	C₂²	semidirect
92. C₂×#398	C₂²	semidirect
93. C₂×#398	C₂²	semidirect
94. C₂×#397	C₂²	semidirect
95. C₂×#397	C₂²	semidirect
96. C₂×#397	C₂²	semidirect
97. C₂×#397	C₂²	semidirect
98. C₂×#397	C₂²	semidirect
99. C₂×#397	C₂²	semidirect
100. C₂×#397	C₂²	semidirect
101. C₂×#397	C₂²	semidirect
102. C₂×#397	C₂²	semidirect
103. C₂×#397	C₂²	semidirect
104. C₂×#397	C₂²	semidirect
105. C₂×#397	C₂²	semidirect
106. C₂×#397	C₂²	semidirect
107. C₂×#397	C₂²	semidirect
108. C₂×#397	C₂²	semidirect
109. C₂×#397	C₂²	semidirect
110. C₂×#396	C₂²	semidirect
111. C₂×#396	C₂²	semidirect
112. C₂×#396	C₂²	semidirect
113. C₂×#396	C₂²	semidirect
114. C₂×#396	C₂²	semidirect
115. C₂×#396	C₂²	semidirect
116. C₂×#396	C₂²	semidirect
117. C₂×#396	C₂²	semidirect
118. C₂×#395	C₂²	semidirect
119. C₂×#395	C₂²	semidirect
137. C₂×#394	C₂²	semidirect
138. C₂×#394	C₂²	semidirect
139. C₂×#394	C₂²	semidirect
140. C₂×#394	C₂²	semidirect
141. C₂×#394	C₂²	semidirect
142. C₂×#394	C₂²	semidirect
143. C₂×#394	C₂²	semidirect
144. C₂×#394	C₂²	semidirect
145. C₂×#393	C₂²	semidirect
146. C₂×#393	C₂²	semidirect
157. C₂×#390	C₂²	semidirect
158. C₂×#390	C₂²	semidirect
159. C₂×#390	C₂²	semidirect
160. C₂×#389	C₂²	semidirect
161. C₂×#389	C₂²	semidirect
162. C₂×#388	C₂²	semidirect
163. C₂×#388	C₂²	semidirect
164. C₂×#388	C₂²	semidirect
165. C₂×#388	C₂²	semidirect
166. C₂×#388	C₂²	semidirect
167. C₂×#388	C₂²	semidirect
168. C₂×#388	C₂²	semidirect
169. C₂×#388	C₂²	semidirect
170. C₂×#388	C₂²	semidirect
171. C₂×#388	C₂²	semidirect
172. C₂×#388	C₂²	semidirect
173. C₂×#388	C₂²	semidirect
174. C₂×#388	C₂²	semidirect
175. C₂×#388	C₂²	semidirect
176. C₂×#387	C₂²	semidirect
177. C₂×#387	C₂²	semidirect
178. C₂×#387	C₂²	semidirect
179. C₂×#387	C₂²	semidirect
180. C₂×#387	C₂²	semidirect
181. C₂×#387	C₂²	semidirect
182. C₂×#387	C₂²	semidirect
183. C₂×#387	C₂²	semidirect
193. C₂×#386	C₂²	semidirect
194. C₂×#386	C₂²	semidirect
195. C₂×#386	C₂²	semidirect
196. C₂×#386	C₂²	semidirect
197. C₂×#386	C₂²	semidirect
198. C₂×#385	C₂²	semidirect
199. C₂×#385	C₂²	semidirect
200. C₂×#385	C₂²	semidirect
201. C₂×#385	C₂²	semidirect
202. C₂×#385	C₂²	semidirect
203. C₂×#385	C₂²	semidirect
204. C₂×#385	C₂²	semidirect
205. C₂×#385	C₂²	semidirect
206. C₂×#383	C₂²	semidirect
207. C₂×#382	C₂²	semidirect
208. C₂×#381	C₂²	semidirect
209. C₂×#381	C₂²	semidirect
210. C₂×#381	C₂²	semidirect
211. C₂×#380	C₂²	semidirect
212. C₂×#380	C₂²	semidirect
213. C₂×#380	C₂²	semidirect
214. C₂×#380	C₂²	semidirect
215. C₂×#379	C₂²	semidirect
216. C₂×#379	C₂²	semidirect
217. C₂×#379	C₂²	semidirect
218. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
245. C₂×#125	C₂³	semidirect
249. C₂×#124	C₂³	semidirect
255. C₂×C₂²⋊Q₈	C₂³	semidirect
278. C₂×#120	C₂³	semidirect
279. C₂×#120	C₂³	semidirect
285. C₂×C₄×D₄	C₂³	semidirect
377. C₂²×C₂²⋊C₄	C₂³	semidirect
378. C₂²×C₂²⋊C₄	C₂³	semidirect
379. C₂²×C₂²⋊C₄	C₂³	semidirect
386. #400	C₂³	semidirect
387. #399	C₂³	semidirect
388. #399	C₂³	semidirect
389. #399	C₂³	semidirect
390. #398	C₂³	semidirect
391. #398	C₂³	semidirect
392. #397	C₂³	semidirect
393. #397	C₂³	semidirect
394. #397	C₂³	semidirect
395. #397	C₂³	semidirect
396. #397	C₂³	semidirect
397. #397	C₂³	semidirect
398. #397	C₂³	semidirect
399. #397	C₂³	semidirect
400. #397	C₂³	semidirect
401. #397	C₂³	semidirect
402. #397	C₂³	semidirect
403. #397	C₂³	semidirect
404. #397	C₂³	semidirect
405. #397	C₂³	semidirect
406. #397	C₂³	semidirect
407. #397	C₂³	semidirect
408. #396	C₂³	semidirect
409. #396	C₂³	semidirect
410. #396	C₂³	semidirect
411. #396	C₂³	semidirect
412. #396	C₂³	semidirect
413. #396	C₂³	semidirect
414. #396	C₂³	semidirect
415. #396	C₂³	semidirect
416. #395	C₂³	semidirect
417. #395	C₂³	semidirect
435. #394	C₂³	semidirect
436. #394	C₂³	semidirect
437. #394	C₂³	semidirect
438. #394	C₂³	semidirect
439. #394	C₂³	semidirect
440. #394	C₂³	semidirect
441. #394	C₂³	semidirect
442. #394	C₂³	semidirect
443. #393	C₂³	semidirect
444. #393	C₂³	semidirect
455. #390	C₂³	semidirect
456. #390	C₂³	semidirect
457. #390	C₂³	semidirect
458. #389	C₂³	semidirect
459. #389	C₂³	semidirect
460. #388	C₂³	semidirect
461. #388	C₂³	semidirect
462. #388	C₂³	semidirect
463. #388	C₂³	semidirect
464. #388	C₂³	semidirect
465. #388	C₂³	semidirect
466. #388	C₂³	semidirect
467. #388	C₂³	semidirect
468. #388	C₂³	semidirect
469. #388	C₂³	semidirect
470. #388	C₂³	semidirect
471. #388	C₂³	semidirect
472. #388	C₂³	semidirect
473. #388	C₂³	semidirect
474. #387	C₂³	semidirect
475. #387	C₂³	semidirect
476. #387	C₂³	semidirect
477. #387	C₂³	semidirect
478. #387	C₂³	semidirect
479. #387	C₂³	semidirect
480. #387	C₂³	semidirect
481. #387	C₂³	semidirect
491. #386	C₂³	semidirect
492. #386	C₂³	semidirect
493. #386	C₂³	semidirect
494. #386	C₂³	semidirect
495. #386	C₂³	semidirect
496. #385	C₂³	semidirect
497. #385	C₂³	semidirect
498. #385	C₂³	semidirect
499. #385	C₂³	semidirect
500. #385	C₂³	semidirect
501. #385	C₂³	semidirect
502. #385	C₂³	semidirect
503. #385	C₂³	semidirect
504. #383	C₂³	semidirect
505. #382	C₂³	semidirect
506. #381	C₂³	semidirect
507. #381	C₂³	semidirect
508. #381	C₂³	semidirect
509. #380	C₂³	semidirect
510. #380	C₂³	semidirect
511. #380	C₂³	semidirect
512. #380	C₂³	semidirect
513. #379	C₂³	semidirect
514. #379	C₂³	semidirect
515. #379	C₂³	semidirect
516. C₄×C₂²⋊C₄	C₂³	semidirect
1651. C₂	#54389	direct (N × H)

Maximal subgroups

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

subgroup	index
#54389	2
C₂×#2800	2
C₂×#2797	2
C₂×#2796	2
C₂×#2786	2
C₂×#2781	2
C₂×#2757	2
C₂×#2752	2
C₂×#2749	2
C₂×#2737	2
C₂×#2711	2
C₂×#2697	2
C₂×#2686	2
C₂×#2679	2
C₂×#2672	2
C₂×#2670	2
C₂×#2668	2
C₂×#2820	2
C₂×#2829	2
C₂×#2812	2
C₂×#2534	2
C₂×#2420	2
C₂×#2460	2
C₂×#2472	2
C₂×#2412	2
C₂×#2424	2
C₂×#2418	2
C₂×#2638	2
C₂×#2630	2
C₂×#2622	2

Subgroups — C2×#54389 #8102270

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#54389 #8102270