Subgroups — #72342229

Order 2048.

At least 6005 conjugacy classes of subgroups; only the 4524 normal subgroups are shown.

The subgroup lattice has 1104 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72342222	C₂	1	2	yes	maximal, complemented
2	#72342215	C₂	1	1	yes	maximal, characteristic, complemented
3	#72342204	C₂	1	1	yes	maximal, characteristic, complemented
4	#72342128	C₂	1	1	yes	maximal, characteristic, complemented
5	#72342115	C₂	1	1	yes	maximal, characteristic, complemented
6	#72342079	C₂	1	2	yes	maximal, complemented
7	#72316412	C₂	1	1	yes	maximal, characteristic, complemented
8	#72316389	C₂	1	1	yes	maximal, characteristic, complemented
9	#72316330	C₂	1	2	yes	maximal, complemented
10	#72316287	C₂	1	1	yes	maximal, characteristic, complemented
11	#72316261	C₂	1	2	yes	maximal, complemented
12	C₂×#6502287	C₂	1	1	yes	maximal, characteristic, complemented
13	#72316137	C₂	1	1	yes	maximal, characteristic, complemented
14	#72315892	C₂	1	8	yes	maximal, complemented
15	#72315867	C₂	1	8	yes	maximal, complemented
16	#72310255	C₂	1	2	yes	maximal, complemented
17	C₂²×D₄×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	#72264200	C₂	1	2	yes	maximal, complemented
19	C₂×#6387987	C₂	1	1	yes	maximal, characteristic, complemented
20	#72257965	C₂	1	2	yes	maximal, complemented
21	#72257855	C₂	1	1	yes	maximal, characteristic, complemented
22	#72257855	C₂	1	1	yes	maximal, characteristic, complemented
23	#72257849	C₂	1	1	yes	maximal, characteristic, complemented
24	#72257849	C₂	1	1	yes	maximal, characteristic, complemented
25	#72249733	C₂	1	8	yes	maximal, complemented
26	#72249714	C₂	1	8	yes	maximal, complemented
27	#72231457	C₂	1	2	yes	maximal, complemented
28	C₂³×D₄²	C₂²	1	1	yes	characteristic
29	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
30	C₂²×#3100	C₂²	1	1	yes	characteristic
31	C₂²×#2854	C₂²	1	1	yes	characteristic
32	C₂×D₄×#123	C₂²	1	8	yes	—
33	C₂×D₄×#123	C₂²	1	8	yes	—
34	C₂²×#2501	C₂²	1	1	yes	characteristic
35	C₂²×#2486	C₂²	1	1	yes	characteristic
36	C₂²×#2445	C₂²	1	1	yes	characteristic
37	C₂²×#2445	C₂²	1	1	yes	characteristic
38	C₂²×#2422	C₂²	1	1	yes	characteristic
39	C₂²×#2422	C₂²	1	1	yes	characteristic
40	C₂×#34206	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂²×D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂²×D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂²×D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂²×D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₄×#123	C₂²	1	1	yes	characteristic
47	C₂×#32878	C₂²	1	2	yes	—
48	C₂×#32878	C₂²	1	2	yes	—
49	C₂×#29235	C₂²	1	2	yes	complemented
50	C₂×#27585	C₂²	1	1	yes	characteristic, complemented
51	C₂×#27585	C₂²	1	1	yes	characteristic, complemented
52	C₂×#23930	C₂²	1	1	yes	characteristic, complemented
53	C₂×#23930	C₂²	1	1	yes	characteristic, complemented
54	C₂×#27211	C₂²	1	4	yes	complemented
55	C₂×#26705	C₂²	1	4	yes	complemented
56	C₂×#24248	C₂²	1	8	yes	—
57	C₂×#24208	C₂²	1	2	yes	—
58	C₂×#26601	C₂²	1	4	yes	complemented
59	C₂×#26174	C₂²	1	4	yes	complemented
60	C₂×#23001	C₂²	1	4	yes	complemented
61	C₂×#22968	C₂²	1	4	yes	complemented
62	C₂×#22758	C₂²	1	4	yes	complemented
63	C₂×#22670	C₂²	1	4	yes	complemented
64	C₂×#22081	C₂²	1	2	yes	complemented
65	C₂×#22081	C₂²	1	2	yes	complemented
66	C₂×#22046	C₂²	1	2	yes	complemented
67	C₂×#21981	C₂²	1	1	yes	characteristic, complemented
68	C₂×#21916	C₂²	1	1	yes	characteristic, complemented
69	C₂×#21859	C₂²	1	1	yes	characteristic, complemented
70	C₂×#21452	C₂²	1	2	yes	—
71	C₂×#21452	C₂²	1	2	yes	—
72	C₂×#21452	C₂²	1	2	yes	complemented
73	C₂×#21452	C₂²	1	8	yes	complemented
74	C₂×#20732	C₂²	1	1	yes	characteristic
75	C₂×#20536	C₂²	1	1	yes	characteristic, complemented
76	#656550	C₂²	1	4	yes	complemented
77	#656518	C₂²	1	4	yes	complemented
78	#647840	C₂²	1	4	yes	complemented
79	#647806	C₂²	1	4	yes	complemented
80	#614565	C₂²	1	2	yes	complemented
81	#614082	C₂²	1	1	yes	characteristic, complemented
82	#614082	C₂²	1	1	yes	characteristic, complemented
83	#613956	C₂²	1	1	yes	characteristic, complemented
84	#613956	C₂²	1	1	yes	characteristic, complemented
85	#612797	C₂²	1	2	yes	—
86	C₄×#2847	C₂²	1	2	yes	complemented
87	#517505	C₂²	1	1	yes	characteristic, complemented
88	#517291	C₂²	1	2	yes	complemented
89	#450961	C₂²	1	8	yes	complemented
90	#450947	C₂²	1	8	yes	complemented
91	#449730	C₂²	1	8	yes	complemented
92	#449690	C₂²	1	8	yes	complemented
93	#440804	C₂²	1	4	yes	complemented
94	#440788	C₂²	1	4	yes	complemented
95	#440731	C₂²	1	4	yes	complemented
96	#440712	C₂²	1	4	yes	complemented
97	#429968	C₂²	1	4	yes	complemented
98	#429948	C₂²	1	4	yes	complemented
99	#429163	C₂²	1	8	yes	complemented
100	#429133	C₂²	1	8	yes	complemented
101	#428438	C₂²	1	4	yes	complemented
102	#428420	C₂²	1	4	yes	complemented
103	#427273	C₂²	1	8	yes	complemented
104	#427219	C₂²	1	8	yes	complemented
105	#419627	C₂²	1	8	yes	complemented
106	#419579	C₂²	1	8	yes	complemented
107	#419529	C₂²	1	8	yes	complemented
108	#419483	C₂²	1	8	yes	complemented
109	#410867	C₂²	1	2	yes	complemented
110	#410854	C₂²	1	2	yes	complemented
111	#410838	C₂²	1	2	yes	complemented
112	#410806	C₂²	1	2	yes	complemented
113	#407461	C₂²	1	8	yes	complemented
114	#407445	C₂²	1	8	yes	complemented
115	#405806	C₂²	1	2	yes	complemented
116	#405806	C₂²	1	2	yes	complemented
117	#405790	C₂²	1	2	yes	complemented
118	#405790	C₂²	1	2	yes	complemented
119	#405242	C₂²	1	2	yes	complemented
120	#405242	C₂²	1	2	yes	complemented
121	#405168	C₂²	1	2	yes	complemented
122	#405168	C₂²	1	2	yes	complemented
123	#401609	C₂²	1	4	yes	complemented
124	#401609	C₂²	1	4	yes	complemented
125	#398296	C₂²	1	8	yes	complemented
126	#398260	C₂²	1	8	yes	complemented
127	#398163	C₂²	1	8	yes	complemented
128	#398130	C₂²	1	8	yes	complemented
129	#396540	C₂²	1	4	yes	complemented
130	#396540	C₂²	1	4	yes	complemented
131	#395968	C₂²	1	8	yes	complemented
132	#395874	C₂²	1	8	yes	complemented
133	#395453	C₂²	1	8	yes	—
134	#395437	C₂²	1	2	yes	—
135	#395437	C₂²	1	2	yes	—
136	#394971	C₂²	1	8	yes	complemented
137	#394925	C₂²	1	8	yes	complemented
138	#394447	C₂²	1	4	yes	complemented
139	#394447	C₂²	1	4	yes	complemented
140	#394237	C₂²	1	4	yes	complemented
141	#394237	C₂²	1	4	yes	complemented
142	#393946	C₂²	1	2	yes	—
143	#393946	C₂²	1	2	yes	—
144	#393909	C₂²	1	8	yes	—
145	#392632	C₂²	1	2	yes	—
146	#392632	C₂²	1	2	yes	—
147	#392632	C₂²	1	8	yes	complemented
148	#392632	C₂²	1	2	yes	complemented
149	#392623	C₂²	1	2	yes	complemented
150	#392585	C₂²	1	2	yes	—
151	#392585	C₂²	1	2	yes	—
152	#392585	C₂²	1	8	yes	complemented
153	#392585	C₂²	1	2	yes	complemented
154	#392570	C₂²	1	2	yes	complemented
155	#392266	C₂²	1	1	yes	characteristic
156	#392266	C₂²	1	1	yes	characteristic
157	#392160	C₂²	1	2	yes	—
158	#392118	C₂²	1	2	yes	—
159	#392118	C₂²	1	2	yes	—
160	#382739	C₂²	1	1	yes	characteristic, complemented
161	#382739	C₂²	1	1	yes	characteristic, complemented
162	#382611	C₂²	1	2	yes	complemented
163	#380252	C₂²	1	2	yes	complemented
164	#380232	C₂²	1	2	yes	complemented
165	#379791	C₂²	1	2	yes	complemented
166	#379737	C₂²	1	2	yes	complemented
167	#372282	C₂²	1	8	yes	complemented
168	#372282	C₂²	1	8	yes	complemented
169	#372263	C₂²	1	8	yes	complemented
170	#372263	C₂²	1	8	yes	complemented
171	#369966	C₂²	1	8	yes	complemented
172	#368117	C₂²	1	8	yes	complemented
173	#366687	C₂²	1	8	yes	complemented
174	#366347	C₂²	1	8	yes	complemented
175	#366339	C₂²	1	8	yes	complemented
176	#366339	C₂²	1	8	yes	complemented
177	#365156	C₂²	1	8	yes	complemented
178	#364572	C₂²	1	8	yes	complemented
179	#364560	C₂²	1	8	yes	complemented
180	#364560	C₂²	1	8	yes	complemented
181	#362804	C₂²	1	2	yes	complemented
182	#362791	C₂²	1	2	yes	complemented
183	#361684	C₂²	1	8	yes	—
184	#361581	C₂²	1	2	yes	—
185	#361570	C₂²	1	2	yes	—
186	#360873	C₂²	1	8	yes	complemented
187	#360873	C₂²	1	8	yes	complemented
188	#359772	C₂²	1	1	yes	characteristic, complemented
189	#359772	C₂²	1	1	yes	characteristic, complemented
190	#359772	C₂²	1	1	yes	characteristic, complemented
191	#359772	C₂²	1	1	yes	characteristic, complemented
192	#359689	C₂²	1	1	yes	characteristic, complemented
193	#359689	C₂²	1	1	yes	characteristic, complemented
194	#359689	C₂²	1	1	yes	characteristic, complemented
195	#359689	C₂²	1	1	yes	characteristic, complemented
196	#355132	C₂²	1	2	yes	complemented
197	#355081	C₂²	1	2	yes	complemented
198	#355056	C₂²	1	2	yes	complemented
199	#354808	C₂²	1	2	yes	—
200	#354808	C₂²	1	8	yes	complemented
201	#354808	C₂²	1	2	yes	complemented
202	#354777	C₂²	1	2	yes	complemented
203	C₂⁵×D₄	C₂³	1	1	yes	characteristic
204	C₂⁵×D₄	C₂³	1	1	yes	characteristic
205	C₂²×D₄²	C₂³	1	8	yes	—
206	C₂²×#532	C₂³	1	1	yes	characteristic
207	C₂³×#127	C₂³	1	1	yes	characteristic
208	C₂³×#123	D₄	1	1	yes	characteristic
209	C₂³×#121	C₂³	1	1	yes	characteristic
210	C₂³×#121	C₂³	1	1	yes	characteristic
211	C₂³×C₄×D₄	C₂³	1	8	yes	—
212	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
213	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
215	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
216	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
217	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
218	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
219	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
220	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
222	C₂²×#480	C₂³	1	2	yes	—
223	C₂²×#474	C₂³	1	2	yes	—
224	C₂²×#459	C₂³	1	2	yes	—
225	C₂²×#459	C₂³	1	4	yes	—
226	C₂²×#447	C₂³	1	2	yes	—
227	C₂²×#447	C₂³	1	2	yes	—
228	C₂²×#447	C₂³	1	8	yes	—
229	C₂²×#447	C₂³	1	2	yes	—
230	C₂²×#447	C₂³	1	8	yes	—
231	C₂²×#442	C₂³	1	4	yes	—
232	C₂²×#442	C₂³	1	4	yes	—
233	C₂²×#442	C₂³	1	4	yes	complemented
234	C₂²×C₄×D₈	C₂³	1	4	yes	—
235	C₂²×#431	C₂³	1	1	yes	characteristic
236	C₂²×#431	C₂³	1	1	yes	characteristic
237	C₂×#2854	C₂³	1	8	yes	—
238	C₂×#2847	C₂³	1	2	yes	—
239	C₂×#2847	C₂³	1	2	yes	—
240	C₂×#2535	C₂³	1	4	yes	—
241	C₂×#2501	C₂³	1	4	yes	—
242	C₂×#2501	C₂³	1	4	yes	—
243	C₂×#2486	C₂³	1	8	yes	—
244	C₂×#2445	D₄	1	16	yes	complemented
245	C₂×#2445	C₂³	1	8	yes	—
246	C₂×#2445	C₂³	1	4	yes	—
247	C₂×#2445	C₂³	1	4	yes	—
248	C₂×#2422	C₂³	1	8	yes	—
249	C₂×#2422	C₂³	1	4	yes	—
250	C₂×#2422	C₂³	1	4	yes	—
251	C₂×#2366	C₂³	1	2	yes	complemented
252	C₂×#2365	C₂³	1	2	yes	complemented
253	C₂×#2354	C₂³	1	2	yes	complemented
254	C₂×D₄×C₄⋊C₄	D₄	1	16	yes	complemented
255	C₂×D₄×C₄⋊C₄	C₂³	1	8	yes	—
256	C₂×D₄×C₄⋊C₄	C₂³	1	4	yes	—
257	C₂×D₄×C₄⋊C₄	C₂³	1	4	yes	—
258	C₂×D₄×C₄⋊C₄	C₂³	1	2	yes	complemented
259	C₂×D₄×C₂²⋊C₄	C₂³	1	4	yes	—
260	C₂×D₄×C₂²⋊C₄	C₂³	1	4	yes	—
261	C₂×D₄×C₂²⋊C₄	C₂³	1	8	yes	—
262	C₂×D₄×C₂²⋊C₄	C₂³	1	4	yes	—
263	C₂×D₄×C₂²⋊C₄	C₂³	1	4	yes	—
264	C₂×C₄×#123	D₄	1	4	yes	—
265	C₂×C₄×#123	D₄	1	4	yes	—
266	C₂×C₄×#123	C₂³	1	4	yes	—
267	C₂×C₄×#123	C₂³	1	4	yes	—
268	C₂×C₄×#121	C₂³	1	2	yes	—
269	C₂×C₄×#121	C₂³	1	2	yes	—
270	C₂×C₄×#121	C₂³	1	4	yes	complemented
271	C₂²×#390	C₂³	1	1	yes	characteristic
272	C₂²×#390	C₂³	1	1	yes	characteristic
273	C₂²×#390	C₂³	1	1	yes	characteristic
274	C₂²×#390	C₂³	1	1	yes	characteristic
275	C₂²×#390	C₂³	1	1	yes	characteristic
276	C₂²×#390	C₂³	1	1	yes	characteristic
277	C₂²×#389	C₂³	1	1	yes	characteristic
278	C₂²×#389	C₂³	1	1	yes	characteristic
279	C₂²×#389	C₂³	1	1	yes	characteristic
280	C₂²×#389	C₂³	1	1	yes	characteristic
281	C₂²×#388	D₄	1	1	yes	characteristic
282	C₂²×#388	D₄	1	1	yes	characteristic
283	C₂²×#387	D₄	1	1	yes	characteristic
284	C₂²×#387	D₄	1	1	yes	characteristic
285	C₂²×#386	D₄	1	1	yes	characteristic
286	C₂²×#385	D₄	1	1	yes	characteristic
287	C₂×#2285	C₂³	1	1	yes	characteristic
288	C₂²×#384	C₂³	1	1	yes	characteristic
289	C₂²×#384	C₂³	1	1	yes	characteristic
290	C₂²×#381	D₄	1	1	yes	characteristic
291	C₂²×#380	C₂³	1	1	yes	characteristic
292	C₂²×#380	C₂³	1	1	yes	characteristic
293	C₂²×#380	C₂³	1	1	yes	characteristic
294	C₂²×C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×#2094	C₂³	1	2	yes	complemented
300	C₂×#2094	C₂³	1	2	yes	complemented
301	C₂×#2088	C₂³	1	4	yes	complemented
302	C₂×#2071	C₂³	1	2	yes	complemented
303	C₂×#2071	C₂³	1	2	yes	complemented
304	C₂×#2065	C₂³	1	4	yes	complemented
305	C₂×#2041	C₂³	1	4	yes	—
306	C₂×#2034	C₂³	1	8	yes	—
307	C₂×#2034	C₂³	1	8	yes	—
308	C₂×#2023	C₂³	1	2	yes	complemented
309	C₂×#2023	C₂³	1	2	yes	complemented
310	C₂×#2011	C₂³	1	4	yes	—
311	C₂×#2011	C₂³	1	2	yes	complemented
312	C₂×#2011	C₂³	1	2	yes	complemented
313	C₂×#1999	C₂³	1	8	yes	—
314	C₂×#1999	C₂³	1	8	yes	—
315	C₂×#1990	C₂³	1	2	yes	complemented
316	C₂×#1982	C₂³	1	4	yes	—
317	C₂×#1972	C₂³	1	4	yes	complemented
318	C₂×#1961	C₂³	1	8	yes	—
319	C₂×#1957	C₂³	1	2	yes	complemented
320	C₂×#1955	C₂³	1	8	yes	—
321	C₂×#1948	C₂³	1	4	yes	complemented
322	C₂×#1943	C₂³	1	4	yes	complemented
323	C₂×#1943	C₂³	1	4	yes	complemented
324	C₂×#1936	C₂³	1	4	yes	complemented
325	C₂×#1936	C₂³	1	4	yes	complemented
326	C₂×#1936	C₂³	1	4	yes	complemented
327	C₂×#1926	C₂³	1	4	yes	complemented
328	C₂×#1926	C₂³	1	4	yes	complemented
329	C₂×#1926	C₂³	1	4	yes	complemented
330	C₂×#1921	C₂³	1	4	yes	complemented
331	C₂×#1921	C₂³	1	4	yes	complemented
332	C₂×#1920	C₂³	1	4	yes	complemented
333	C₂×#1917	C₂³	1	4	yes	complemented
334	C₂×#1917	C₂³	1	4	yes	complemented
335	C₂×#1879	C₂³	1	4	yes	—
336	C₂×#1879	C₂³	1	4	yes	—
337	C₂×#1879	C₂³	1	8	yes	—
338	C₂×#1879	C₂³	1	8	yes	—
339	C₂×#1879	C₂³	1	4	yes	complemented
340	C₂×#1879	C₂³	1	4	yes	complemented
341	C₂×#1879	C₂³	1	4	yes	complemented
342	C₂×#1879	C₂³	1	4	yes	complemented
343	C₂×#1879	C₂³	1	8	yes	complemented
344	C₂×#1874	C₂³	1	2	yes	—
345	C₂×#1874	C₂³	1	2	yes	—
346	C₂×#1874	C₂³	1	2	yes	—
347	C₂×#1874	C₂³	1	2	yes	—
348	C₂×#1874	C₂³	1	8	yes	complemented
349	C₂×#1864	C₂³	1	4	yes	—
350	C₂×#1864	C₂³	1	4	yes	—
351	C₂×#1864	C₂³	1	8	yes	—
352	C₂×#1864	C₂³	1	8	yes	—
353	C₂×#1864	C₂³	1	4	yes	complemented
354	C₂×#1864	C₂³	1	4	yes	complemented
355	C₂×#1864	C₂³	1	4	yes	complemented
356	C₂×#1864	C₂³	1	4	yes	complemented
357	C₂×#1864	C₂³	1	8	yes	complemented
358	C₂×#1853	C₂³	1	2	yes	—
359	C₂×#1853	C₂³	1	2	yes	—
360	C₂×#1853	C₂³	1	2	yes	—
361	C₂×#1853	C₂³	1	2	yes	—
362	C₂×#1853	C₂³	1	8	yes	complemented
363	C₂×#1844	C₂³	1	2	yes	complemented
364	C₂×#1834	C₂³	1	2	yes	complemented
365	C₂×#1823	C₂³	1	2	yes	—
366	C₂×#1823	C₂³	1	2	yes	—
367	C₂×#1823	C₂³	1	2	yes	—
368	C₂×#1817	C₂³	1	1	yes	characteristic
369	C₂×#1817	C₂³	1	1	yes	characteristic
370	C₂×#1804	C₂³	1	8	yes	—
371	C₂×#1802	C₂³	1	2	yes	—
372	C₂×#1802	C₂³	1	2	yes	—
373	C₂×#1802	C₂³	1	4	yes	complemented
374	C₂×#1797	C₂³	1	2	yes	—
375	C₂×#1786	C₂³	1	2	yes	—
376	C₂×#1786	C₂³	1	2	yes	—
377	C₂×#1786	C₂³	1	8	yes	—
378	C₂×#1786	C₂³	1	2	yes	—
379	C₂×#1786	C₂³	1	8	yes	—
380	C₂×#1786	C₂³	1	8	yes	—
381	C₂×#1786	C₂³	1	2	yes	—
382	C₂×#1786	C₂³	1	2	yes	—
383	C₂×#1786	C₂³	1	2	yes	—
384	C₂×#1786	C₂³	1	2	yes	—
385	C₂×#1786	C₂³	1	8	yes	—
386	C₂×#1786	C₂³	1	8	yes	—
387	C₂×#1786	C₂³	1	8	yes	—
388	C₂×#1786	C₂³	1	2	yes	—
389	C₂×#1786	C₂³	1	2	yes	—
390	C₂×#1779	C₂³	1	2	yes	—
391	C₂×#1779	C₂³	1	2	yes	—
392	C₂×#1779	C₂³	1	2	yes	—
393	C₂×#1779	C₂³	1	2	yes	—
394	C₂×#1770	C₂³	1	4	yes	complemented
395	C₂×#1770	C₂³	1	4	yes	complemented
396	C₂×#1762	C₂³	1	4	yes	—
397	C₂×#1762	C₂³	1	4	yes	—
398	C₂×#1762	C₂³	1	8	yes	—
399	C₂×#1762	C₂³	1	4	yes	complemented
400	C₂×#1762	C₂³	1	8	yes	complemented
401	C₂×C₄×#102	C₂³	1	4	yes	—
402	C₂×#1749	C₂³	1	2	yes	—
403	C₂×#1749	C₂³	1	2	yes	—
404	C₂×#1749	C₂³	1	2	yes	—
405	C₂×#1749	C₂³	1	8	yes	complemented
406	#15222	C₂³	1	4	yes	complemented
407	#15221	C₂³	1	4	yes	complemented
408	#15195	C₂³	1	2	yes	complemented
409	#15195	C₂³	1	2	yes	complemented
410	#15181	C₂³	1	4	yes	—
411	#15135	C₂³	1	2	yes	complemented
412	#15135	C₂³	1	2	yes	complemented
413	#15125	C₂³	1	2	yes	complemented
414	#15125	C₂³	1	2	yes	complemented
415	#15124	C₂³	1	2	yes	complemented
416	#15124	C₂³	1	2	yes	complemented
417	#15123	C₂³	1	4	yes	—
418	#14698	C₂³	1	2	yes	—
419	#14698	C₂³	1	2	yes	—
420	#14698	C₂³	1	4	yes	complemented
421	#14697	C₂³	1	2	yes	—
422	#14697	C₂³	1	2	yes	—
423	#14697	C₂³	1	4	yes	complemented
424	#14685	C₂³	1	1	yes	characteristic
425	#14685	C₂³	1	1	yes	characteristic
426	#14682	C₂³	1	2	yes	—
427	#14680	C₂³	1	2	yes	—
428	#14680	C₂³	1	2	yes	—
429	#14041	C₂³	1	4	yes	complemented
430	#14018	C₂³	1	4	yes	complemented
431	#13998	C₂³	1	4	yes	complemented
432	#13994	C₂³	1	4	yes	complemented
433	#13993	C₂³	1	4	yes	complemented
434	#13993	C₂³	1	4	yes	complemented
435	#13974	C₂³	1	4	yes	complemented
436	#13970	C₂³	1	4	yes	complemented
437	#13970	C₂³	1	4	yes	complemented
438	#13970	C₂³	1	4	yes	complemented
439	#13905	C₂³	1	4	yes	—
440	#13885	C₂³	1	4	yes	complemented
441	#13885	C₂³	1	4	yes	complemented
442	C₄×#380	C₂³	1	2	yes	—
443	C₄×#380	C₂³	1	4	yes	complemented
444	#11373	C₂³	1	4	yes	complemented
445	#11373	C₂³	1	4	yes	complemented
446	#11357	C₂³	1	4	yes	complemented
447	#11357	C₂³	1	4	yes	complemented
448	#11327	C₂³	1	8	yes	complemented
449	#11323	C₂³	1	8	yes	complemented
450	#11292	C₂³	1	8	yes	complemented
451	#11267	C₂³	1	8	yes	complemented
452	#11228	C₂³	1	8	yes	complemented
453	#11220	C₂³	1	8	yes	complemented
454	#11208	C₂³	1	8	yes	complemented
455	#11208	C₂³	1	8	yes	complemented
456	#11207	C₂³	1	8	yes	complemented
457	#11202	C₂³	1	8	yes	complemented
458	#11200	C₂³	1	8	yes	complemented
459	#11200	C₂³	1	8	yes	complemented
460	#11199	C₂³	1	8	yes	complemented
461	#11189	C₂³	1	8	yes	complemented
462	#11189	C₂³	1	8	yes	complemented
463	#11189	C₂³	1	8	yes	complemented
464	#11123	C₂³	1	8	yes	complemented
465	#11123	C₂³	1	8	yes	complemented
466	#11121	C₂³	1	8	yes	complemented
467	#11096	C₂³	1	8	yes	complemented
468	#11096	C₂³	1	8	yes	complemented
469	#11095	C₂³	1	8	yes	complemented
470	#11095	C₂³	1	8	yes	complemented
471	#11095	C₂³	1	8	yes	complemented
472	#11095	C₂³	1	8	yes	complemented
473	#11076	C₂³	1	4	yes	complemented
474	#11076	C₂³	1	4	yes	complemented
475	#11076	C₂³	1	4	yes	complemented
476	#11076	C₂³	1	4	yes	complemented
477	#11066	C₂³	1	8	yes	complemented
478	#11066	C₂³	1	8	yes	complemented
479	#11066	C₂³	1	8	yes	complemented
480	#11066	C₂³	1	8	yes	complemented
481	#11049	C₂³	1	8	yes	complemented
482	#11042	C₂³	1	4	yes	complemented
483	#11042	C₂³	1	4	yes	complemented
484	#11042	C₂³	1	4	yes	complemented
485	#11042	C₂³	1	4	yes	complemented
486	#11022	C₂³	1	8	yes	complemented
487	#11022	C₂³	1	8	yes	complemented
488	#11022	C₂³	1	8	yes	complemented
489	#11008	C₂³	1	8	yes	—
490	#10969	C₂³	1	8	yes	—
491	#10969	C₂³	1	8	yes	—
492	#10969	C₂³	1	8	yes	—
493	#10969	C₂³	1	8	yes	—
494	#10969	C₂³	1	8	yes	complemented
495	#10969	C₂³	1	8	yes	complemented
496	#10969	C₂³	1	8	yes	complemented
497	#10964	C₂³	1	8	yes	—
498	#10931	C₂³	1	8	yes	complemented
499	#10927	C₂³	1	8	yes	complemented
500	#10925	C₂³	1	4	yes	complemented
501	#10925	C₂³	1	4	yes	complemented
502	#10925	C₂³	1	4	yes	complemented
503	#10925	C₂³	1	4	yes	complemented
504	#10922	C₂³	1	8	yes	complemented
505	#10922	C₂³	1	8	yes	complemented
506	#10921	C₂³	1	4	yes	complemented
507	#10921	C₂³	1	4	yes	complemented
508	#10921	C₂³	1	4	yes	complemented
509	#10921	C₂³	1	4	yes	complemented
510	#10885	C₂³	1	8	yes	complemented
511	#10881	C₂³	1	8	yes	complemented
512	#10881	C₂³	1	8	yes	complemented
513	#10875	C₂³	1	8	yes	complemented
514	#10788	C₂³	1	4	yes	—
515	#10788	C₂³	1	4	yes	—
516	#10788	C₂³	1	8	yes	—
517	#10788	C₂³	1	8	yes	—
518	#10788	C₂³	1	8	yes	—
519	#10788	C₂³	1	8	yes	—
520	#10788	C₂³	1	4	yes	—
521	#10788	C₂³	1	4	yes	—
522	#10788	C₂³	1	8	yes	—
523	#10788	C₂³	1	8	yes	—
524	#10788	C₂³	1	8	yes	complemented
525	#10788	C₂³	1	8	yes	complemented
526	#10788	C₂³	1	8	yes	complemented
527	#10730	C₂³	1	2	yes	—
528	#10730	C₂³	1	2	yes	—
529	#10730	C₂³	1	2	yes	—
530	#10730	C₂³	1	2	yes	—
531	#10730	C₂³	1	2	yes	—
532	#10730	C₂³	1	2	yes	—
533	#10730	C₂³	1	2	yes	—
534	#10730	C₂³	1	2	yes	—
535	#10730	C₂³	1	8	yes	complemented
536	#10730	C₂³	1	8	yes	complemented
537	#10712	C₂³	1	2	yes	—
538	#10712	C₂³	1	2	yes	—
539	#10712	C₂³	1	2	yes	—
540	#10712	C₂³	1	2	yes	—
541	#10712	C₂³	1	8	yes	complemented
542	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
543	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
544	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
545	C₂⁴×D₄	C₂⁴	1	4	yes	—
546	C₂⁴×D₄	C₂⁴	1	4	yes	—
547	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
548	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
549	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
550	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
551	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
552	C₂³×D₈	C₂⁴	1	4	yes	—
553	C₂³×D₈	C₂⁴	1	4	yes	—
554	C₂³×D₈	C₂⁴	1	4	yes	—
555	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
556	C₂²×#127	C₂×D₄	1	8	yes	—
557	C₂²×#127	C₂⁴	1	1	yes	characteristic
558	C₂²×#127	C₂⁴	1	4	yes	—
559	C₂²×#123	C₂×D₄	1	4	yes	—
560	C₂²×#123	C₂×D₄	1	4	yes	—
561	C₂²×#121	C₂⁴	1	2	yes	—
562	C₂²×#121	C₂⁴	1	4	yes	—
563	C₂²×#121	C₂⁴	1	4	yes	—
564	C₂²×#121	C₂⁴	1	4	yes	—
565	C₂²×#121	C₂⁴	1	4	yes	—
566	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
567	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
568	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
569	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
570	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
571	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
572	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
573	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
574	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
575	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
576	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
577	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
578	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
579	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
580	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
581	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
582	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
583	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
590	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₂³×C₄²	C₂×D₄	1	4	yes	—
603	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
604	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
605	C₂³×C₄²	C₂⁴	1	4	yes	—
606	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
607	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
608	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
609	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
610	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
611	C₂×#447	#41	1	16	yes	—
612	C₂²×#107	C₂⁴	1	4	yes	—
613	C₂²×#106	C₂⁴	1	4	yes	—
614	C₂²×#106	C₂⁴	1	4	yes	—
615	C₂²×#106	C₂⁴	1	4	yes	—
616	C₂²×#106	C₂⁴	1	4	yes	—
617	C₂²×C₄⋊C₈	C₂⁴	1	2	yes	—
618	C₂²×C₄⋊C₈	C₂⁴	1	4	yes	—
619	C₂²×C₄⋊C₈	C₂⁴	1	2	yes	—
620	C₂²×#102	C₂⁴	1	4	yes	—
621	C₂²×#102	C₂⁴	1	8	yes	—
622	C₂²×#102	C₂⁴	1	8	yes	—
623	C₂²×#102	C₂⁴	1	4	yes	—
624	C₂²×#102	C₂⁴	1	4	yes	—
625	C₂²×#102	C₂⁴	1	4	yes	—
626	C₂²×#102	C₂⁴	1	8	yes	—
627	C₂²×#102	C₂⁴	1	4	yes	—
628	C₂²×#102	C₂⁴	1	4	yes	—
629	C₂²×#102	C₂⁴	1	4	yes	—
630	C₂²×#102	C₂⁴	1	8	yes	—
631	C₂²×#102	C₂⁴	1	8	yes	—
632	C₂²×#102	C₂⁴	1	4	yes	—
633	C₂²×#102	C₂⁴	1	4	yes	—
634	C₂²×#102	C₂⁴	1	4	yes	—
635	C₂²×#102	C₂⁴	1	4	yes	—
636	C₂²×#102	C₂⁴	1	4	yes	—
637	C₂²×#102	C₂⁴	1	4	yes	—
638	C₂²×#102	C₂⁴	1	4	yes	—
639	C₂²×#102	C₂⁴	1	8	yes	—
640	C₂²×C₂²⋊C₈	C₂⁴	1	2	yes	—
641	C₂²×C₂²⋊C₈	C₂⁴	1	2	yes	—
642	C₂²×C₂²⋊C₈	C₂⁴	1	2	yes	—
643	C₂²×C₂²⋊C₈	C₂⁴	1	8	yes	—
644	C₂²×C₂²⋊C₈	C₂⁴	1	2	yes	—
645	C₂²×C₂²⋊C₈	C₂⁴	1	8	yes	—
646	C₂²×C₂²⋊C₈	C₂⁴	1	8	yes	—
647	C₂²×C₂²⋊C₈	C₂⁴	1	8	yes	—
648	C₂²×#97	C₂⁴	1	4	yes	—
649	C₂²×#97	C₂⁴	1	4	yes	—
650	C₂²×#97	C₂⁴	1	4	yes	—
651	C₂²×C₄×C₈	C₂⁴	1	2	yes	—
652	C₂²×C₄×C₈	C₂⁴	1	2	yes	—
653	#2445	C₂×D₄	1	32	yes	—
654	#2445	C₂×D₄	1	32	yes	—
655	D₄×C₄⋊C₄	C₂×D₄	1	32	yes	—
656	D₄×C₄⋊C₄	C₂×D₄	1	32	yes	—
657	C₂×#390	C₂×D₄	1	8	yes	—
658	C₂×#390	C₂×D₄	1	8	yes	—
659	C₂×#390	C₂×D₄	1	8	yes	—
660	C₂×#390	C₂⁴	1	4	yes	—
661	C₂×#390	C₂⁴	1	4	yes	—
662	C₂×#390	C₂⁴	1	4	yes	—
663	C₂×#390	C₂⁴	1	2	yes	—
664	C₂×#390	C₂⁴	1	2	yes	—
665	C₂×#390	C₂⁴	1	4	yes	—
666	C₂×#390	C₂⁴	1	2	yes	—
667	C₂×#390	C₂⁴	1	2	yes	—
668	C₂×#390	C₂⁴	1	2	yes	—
669	C₂×#390	C₂⁴	1	2	yes	—
670	C₂×#390	C₂⁴	1	4	yes	—
671	C₂×#390	C₂⁴	1	4	yes	—
672	C₂×#389	C₂×D₄	1	8	yes	—
673	C₂×#389	C₂×D₄	1	8	yes	—
674	C₂×#389	C₂×D₄	1	8	yes	—
675	C₂×#389	C₂⁴	1	4	yes	—
676	C₂×#389	C₂⁴	1	2	yes	—
677	C₂×#389	C₂⁴	1	2	yes	—
678	C₂×#389	C₂⁴	1	4	yes	—
679	C₂×#389	C₂⁴	1	4	yes	—
680	C₂×#389	C₂⁴	1	4	yes	—
681	C₂×#389	C₂⁴	1	4	yes	—
682	C₂×#389	C₂⁴	1	4	yes	—
683	C₂×#388	C₂×D₄	1	4	yes	—
684	C₂×#388	C₂×D₄	1	4	yes	—
685	C₂×#388	C₂×D₄	1	4	yes	—
686	C₂×#388	C₂×D₄	1	4	yes	—
687	C₂×#387	C₂×D₄	1	4	yes	—
688	C₂×#387	C₂×D₄	1	4	yes	—
689	C₂×#387	C₂×D₄	1	4	yes	—
690	C₂×#387	C₂×D₄	1	4	yes	—
691	C₂×#386	C₂×D₄	1	4	yes	—
692	C₂×#386	C₂×D₄	1	4	yes	—
693	C₂×#385	C₂×D₄	1	4	yes	—
694	C₂×#385	C₂×D₄	1	4	yes	—
695	C₂×#384	C₂×D₄	1	8	yes	—
696	C₂×#384	C₂⁴	1	4	yes	—
697	C₂×#384	C₂⁴	1	1	yes	characteristic
698	C₂×#384	C₂⁴	1	1	yes	characteristic
699	C₂×#384	C₂⁴	1	2	yes	—
700	C₂×#384	C₂⁴	1	2	yes	—
701	C₂×#382	C₂⁴	1	4	yes	—
702	C₂×#381	C₂×D₄	1	4	yes	—
703	C₂×#381	C₂×D₄	1	4	yes	—
704	C₂×#380	C₂⁴	1	2	yes	—
705	C₂×#380	C₂⁴	1	2	yes	—
706	C₂×#380	C₂⁴	1	4	yes	—
707	C₂×#380	C₂⁴	1	4	yes	—
708	C₂×#380	C₂⁴	1	4	yes	—
709	C₂×#380	C₂⁴	1	4	yes	—
710	C₂×#380	C₂⁴	1	2	yes	—
711	C₂×#380	C₂⁴	1	4	yes	—
712	C₂×#380	C₂⁴	1	4	yes	—
713	C₂×#380	C₂⁴	1	4	yes	—
714	C₂×#380	C₂⁴	1	4	yes	—
715	C₂×#380	C₂⁴	1	4	yes	—
716	C₂×C₄×C₄⋊C₄	C₂×D₄	1	8	yes	—
717	C₂×C₄×C₄⋊C₄	C₂×D₄	1	8	yes	—
718	C₂×C₄×C₄⋊C₄	C₂×D₄	1	4	yes	—
719	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
720	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
721	C₂×C₄×C₄⋊C₄	C₂⁴	1	4	yes	—
722	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
723	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
724	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
725	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
726	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
727	C₂×C₄×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
729	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
730	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
731	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
732	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	4	yes	—
733	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
734	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
735	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
736	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
737	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₂²×#95	C₂×D₄	1	1	yes	characteristic
739	C₂²×#95	C₂×D₄	1	1	yes	characteristic
740	C₂²×#95	C₂×D₄	1	1	yes	characteristic
741	C₂²×#95	C₂×D₄	1	1	yes	characteristic
742	C₂²×#95	C₂×D₄	1	1	yes	characteristic
743	C₂²×#95	C₂×D₄	1	1	yes	characteristic
744	C₂²×#95	C₂×D₄	1	1	yes	characteristic
745	C₂²×#95	C₂×D₄	1	1	yes	characteristic
746	C₂²×#95	C₂×D₄	1	1	yes	characteristic
747	C₂²×#95	C₂×D₄	1	1	yes	characteristic
748	C₂×#340	C₂⁴	1	4	yes	—
749	C₂×#340	C₂⁴	1	4	yes	—
750	C₂×#340	C₂⁴	1	4	yes	—
751	C₂×#340	C₂⁴	1	4	yes	—
752	C₂×#340	C₂⁴	1	4	yes	—
753	C₂×#340	C₂⁴	1	4	yes	—
754	C₂×#340	C₂⁴	1	4	yes	—
755	C₂×#340	C₂⁴	1	4	yes	—
756	C₂×#340	C₂⁴	1	4	yes	—
757	C₂×#340	C₂⁴	1	4	yes	—
758	C₂×#340	C₂⁴	1	8	yes	—
759	C₂×#340	C₂⁴	1	8	yes	—
760	C₂×#340	C₂⁴	1	8	yes	—
761	C₂×#340	C₂⁴	1	8	yes	—
762	C₂×#340	C₂⁴	1	8	yes	—
763	C₂×#340	C₂⁴	1	8	yes	—
764	C₂×#340	C₂⁴	1	8	yes	—
765	C₂×#340	C₂⁴	1	8	yes	—
766	C₂×#340	C₂⁴	1	8	yes	—
767	C₂×#340	C₂⁴	1	8	yes	—
768	C₂×#336	C₂⁴	1	4	yes	—
769	C₂×#336	C₂⁴	1	2	yes	—
770	C₂×#336	C₂⁴	1	2	yes	—
771	C₂×#336	C₂⁴	1	2	yes	—
772	C₂×#336	C₂⁴	1	2	yes	—
773	C₂×#336	C₂⁴	1	4	yes	—
774	C₂×#336	C₂⁴	1	4	yes	—
775	C₂×#336	C₂⁴	1	4	yes	—
776	C₂×#336	C₂⁴	1	8	yes	—
777	C₂×#336	C₂⁴	1	8	yes	—
778	C₂×#336	C₂⁴	1	8	yes	—
779	C₂×#336	C₂⁴	1	8	yes	—
780	C₄⋊#95	C₂⁴	1	4	yes	—
781	C₄⋊#95	C₂⁴	1	4	yes	—
782	C₄⋊#95	C₂⁴	1	2	yes	—
783	C₄⋊#95	C₂⁴	1	2	yes	—
784	C₄⋊#95	C₂⁴	1	4	yes	—
785	C₄⋊#95	C₂⁴	1	2	yes	—
786	C₄⋊#95	C₂⁴	1	2	yes	—
787	C₄⋊#95	C₂⁴	1	4	yes	—
788	C₄⋊#95	C₂⁴	1	4	yes	—
789	C₄⋊#95	C₂⁴	1	4	yes	—
790	C₂⁶	C₂²×D₄	1	1	yes	characteristic
791	C₂⁶	C₂²×D₄	1	1	yes	characteristic
792	C₂³×D₄	C₂²×D₄	1	4	yes	—
793	C₂³×D₄	C₂²×D₄	1	4	yes	—
794	C₂³×D₄	C₂²×D₄	1	4	yes	—
795	C₂³×D₄	C₂²×D₄	1	4	yes	—
796	C₂³×D₄	C₂×#41	1	8	yes	—
797	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
798	C₂³×D₄	C₂⁵	1	2	yes	—
799	C₂³×D₄	C₂⁵	1	2	yes	—
800	C₂³×D₄	C₂⁵	1	2	yes	—
801	C₂³×D₄	C₂⁵	1	2	yes	—
802	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
803	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
804	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
805	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
806	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
807	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
808	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
809	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
810	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
811	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
812	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
813	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
814	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
815	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
816	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
817	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
818	C₂⁴×C₄	C₂⁵	1	2	yes	—
819	C₂⁴×C₄	C₂⁵	1	2	yes	—
820	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
821	C₂²×D₈	C₂×#41	1	16	yes	—
822	C₂³×C₈	C₂⁵	1	4	yes	—
823	C₂³×C₈	C₂⁵	1	4	yes	—
824	C₂³×C₈	C₂⁵	1	4	yes	—
825	C₂³×C₈	C₂⁵	1	4	yes	—
826	C₂×#127	C₂²×D₄	1	16	yes	—
827	C₂×#121	C₂×#41	1	8	yes	—
828	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
829	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
830	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
831	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
832	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
833	C₂²×C₄⋊C₄	#120	1	8	yes	—
834	C₂²×C₄⋊C₄	#120	1	8	yes	—
835	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
836	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
837	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
838	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
839	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
840	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
841	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
842	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
843	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
844	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
845	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
846	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
847	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
848	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
849	C₂²×C₄⋊C₄	C₂⁵	1	4	yes	—
850	C₂²×C₄⋊C₄	C₂⁵	1	4	yes	—
851	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
852	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
853	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
854	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
855	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
856	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
857	C₂²×C₂²⋊C₄	AGL(1,ℤ/8)	1	8	yes	—
858	C₂²×C₂²⋊C₄	AGL(1,ℤ/8)	1	8	yes	—
859	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
860	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
861	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
862	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
863	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
864	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
865	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
866	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
867	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
868	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
869	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
870	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
871	C₂²×C₄²	C₂²×D₄	1	4	yes	—
872	C₂²×C₄²	C₂²×D₄	1	4	yes	—
873	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
874	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
875	C₂²×C₄²	C₂²×D₄	1	4	yes	—
876	C₂²×C₄²	C₂²×D₄	1	4	yes	—
877	C₂²×C₄²	C₂²×D₄	1	2	yes	—
878	C₂²×C₄²	C₂²×D₄	1	2	yes	—
879	C₂²×C₄²	C₂²×D₄	1	2	yes	—
880	C₂²×C₄²	C₂²×D₄	1	2	yes	—
881	C₂²×C₄²	C₂²×D₄	1	4	yes	—
882	C₂²×C₄²	C₂²×D₄	1	4	yes	—
883	C₂²×C₄²	C₂²×D₄	1	4	yes	—
884	C₂²×C₄²	C₂²×D₄	1	4	yes	—
885	C₂²×C₄²	C₂⁵	1	2	yes	—
886	C₂²×C₄²	C₂⁵	1	2	yes	—
887	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
888	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
889	C₂²×C₄²	C₂⁵	1	2	yes	—
890	C₂²×C₄²	C₂⁵	1	2	yes	—
891	C₂×#102	C₂×#41	1	16	yes	—
892	C₂×C₂²⋊C₈	C₂×#41	1	8	yes	—
893	#390	C₂²×D₄	1	8	yes	—
894	#390	C₂²×D₄	1	8	yes	—
895	#390	C₂²×D₄	1	16	yes	—
896	#390	C₂²×D₄	1	8	yes	—
897	#390	C₂²×D₄	1	8	yes	—
898	#389	C₂²×D₄	1	16	yes	—
899	#389	C₂²×D₄	1	16	yes	—
900	#389	C₂²×D₄	1	16	yes	—
901	#384	C₂²×D₄	1	8	yes	—
902	#384	C₂²×D₄	1	8	yes	—
903	C₄×C₄⋊C₄	#120	1	16	yes	—
904	C₄×C₄⋊C₄	#120	1	16	yes	—
905	C₄×C₄⋊C₄	C₂²×D₄	1	8	yes	—
906	C₄×C₄⋊C₄	C₂²×D₄	1	8	yes	—
907	C₄×C₄⋊C₄	C₂²×D₄	1	8	yes	—
908	C₄×C₄⋊C₄	C₂²×D₄	1	8	yes	—
909	C₂×#95	#120	1	8	yes	—
910	C₂×#95	#120	1	8	yes	—
911	C₂×#95	C₂²×D₄	1	4	yes	—
912	C₂×#95	C₂²×D₄	1	2	yes	—
913	C₂×#95	C₂²×D₄	1	4	yes	—
914	C₂×#95	C₂²×D₄	1	2	yes	—
915	C₂×#95	C₂²×D₄	1	2	yes	—
916	C₂×#95	C₂²×D₄	1	2	yes	—
917	C₂×#95	C₂²×D₄	1	2	yes	—
918	C₂×#95	C₂²×D₄	1	2	yes	—
919	C₂×#95	C₂²×D₄	1	4	yes	—
920	C₂×#95	C₂²×D₄	1	2	yes	—
921	C₂×#95	C₂²×D₄	1	4	yes	—
922	C₂×#95	C₂²×D₄	1	2	yes	—
923	C₂×#95	C₂²×D₄	1	2	yes	—
924	C₂×#95	C₂²×D₄	1	2	yes	—
925	C₂×#95	C₂²×D₄	1	2	yes	—
926	C₂×#95	C₂²×D₄	1	2	yes	—
927	C₂⁵	C₂×AGL(1,ℤ/8)	1	4	yes	—
928	C₂⁵	C₂×AGL(1,ℤ/8)	1	4	yes	—
929	C₂⁵	C₂³×D₄	1	2	yes	—
930	C₂⁵	C₂³×D₄	1	2	yes	—
931	C₂⁵	C₂³×D₄	1	1	yes	characteristic
932	C₂²×D₄	#525	1	16	yes	—
933	C₂²×D₄	C₂³×D₄	1	4	yes	—
934	C₂²×D₄	C₂³×D₄	1	4	yes	—
935	C₂²×D₄	C₂³×D₄	1	4	yes	—
936	C₂²×D₄	C₂²×#41	1	4	yes	—
937	C₂²×D₄	C₂²×#41	1	8	yes	—
938	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
939	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
940	C₂²×D₄	#585	1	8	yes	—
941	C₂³×C₄	C₂×#120	1	4	yes	—
942	C₂³×C₄	C₂×#120	1	4	yes	—
943	C₂³×C₄	C₂×#120	1	4	yes	—
944	C₂³×C₄	C₂×#120	1	4	yes	—
945	C₂³×C₄	C₂×#120	1	4	yes	—
946	C₂³×C₄	C₂×#120	1	4	yes	—
947	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	4	yes	—
948	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	4	yes	—
949	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	4	yes	—
950	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	4	yes	—
951	C₂³×C₄	C₂³×D₄	1	2	yes	—
952	C₂³×C₄	C₂³×D₄	1	2	yes	—
953	C₂³×C₄	C₂³×D₄	1	2	yes	—
954	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
955	C₂³×C₄	C₂³×D₄	1	2	yes	—
956	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
957	C₂³×C₄	C₂³×D₄	1	2	yes	—
958	C₂³×C₄	C₂³×D₄	1	2	yes	—
959	C₂³×C₄	C₂³×D₄	1	2	yes	—
960	C₂³×C₄	C₂³×D₄	1	2	yes	—
961	C₂³×C₄	C₂³×D₄	1	2	yes	—
962	C₂³×C₄	C₂³×D₄	1	2	yes	—
963	C₂³×C₄	C₂³×D₄	1	2	yes	—
964	C₂³×C₄	C₂³×D₄	1	2	yes	—
965	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
966	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
967	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
968	C₂³×C₄	C₂²×#41	1	4	yes	—
969	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
970	C₂³×C₄	#585	1	4	yes	—
971	C₂³×C₄	C₂⁶	1	1	yes	characteristic
972	C₂²×C₈	C₂²×#41	1	8	yes	—
973	C₂×C₄⋊C₄	C₂×#120	1	8	yes	—
974	C₂×C₄⋊C₄	C₂×#120	1	8	yes	—
975	C₂×C₄⋊C₄	C₂×#120	1	8	yes	—
976	C₂×C₄⋊C₄	C₂×#120	1	8	yes	—
977	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
978	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
979	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
980	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
981	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
982	C₂×C₄⋊C₄	C₂²×#41	1	4	yes	—
983	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
984	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
985	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
986	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
987	C₂×C₄²	C₂×#120	1	4	yes	—
988	C₂×C₄²	C₂×#120	1	4	yes	—
989	C₂×C₄²	C₂×#120	1	8	yes	—
990	C₂×C₄²	C₂×#120	1	8	yes	—
991	C₂×C₄²	C₂³×D₄	1	4	yes	—
992	C₂×C₄²	C₂³×D₄	1	2	yes	—
993	C₂×C₄²	C₂³×D₄	1	4	yes	—
994	C₂×C₄²	C₂³×D₄	1	4	yes	—
995	C₂×C₄²	C₂³×D₄	1	4	yes	—
996	C₂×C₄²	C₂³×D₄	1	2	yes	—
997	C₂×C₄²	C₂³×D₄	1	2	yes	—
998	C₂×C₄²	C₂³×D₄	1	2	yes	—
999	#95	C₂×#120	1	8	yes	—
1000	#95	C₂×#120	1	8	yes	—
1001	#95	C₂×#120	1	8	yes	—
1002	#95	C₂×#120	1	8	yes	—
1003	C₂⁴	C₂²×#120	1	2	yes	—
1004	C₂⁴	D₄×#41	1	4	yes	—
1005	C₂⁴	#3484	1	4	yes	—
1006	C₂⁴	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1007	C₂⁴	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1008	C₂⁴	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1009	C₂⁴	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1010	C₂⁴	#3585	1	4	yes	—
1011	C₂⁴	#3585	1	4	yes	—
1012	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1013	C₂×D₄	C₂×#525	1	8	yes	—
1014	C₂×D₄	#3484	1	8	yes	—
1015	C₂×D₄	#3484	1	8	yes	—
1016	C₂×D₄	#3487	1	8	yes	—
1017	C₂×D₄	#3513	1	32	yes	—
1018	C₂²×C₄	#3003	1	16	yes	—
1019	C₂²×C₄	C₂²×#120	1	4	yes	—
1020	C₂²×C₄	C₂²×#120	1	4	yes	—
1021	C₂²×C₄	C₂²×#120	1	2	yes	—
1022	C₂²×C₄	C₂²×#120	1	2	yes	—
1023	C₂²×C₄	C₂²×#120	1	4	yes	—
1024	C₂²×C₄	C₂²×#120	1	4	yes	—
1025	C₂²×C₄	C₂²×#120	1	2	yes	—
1026	C₂²×C₄	C₂²×#120	1	2	yes	—
1027	C₂²×C₄	C₂²×#120	1	2	yes	—
1028	C₂²×C₄	C₂×#525	1	4	yes	—
1029	C₂²×C₄	#3449	1	4	yes	—
1030	C₂²×C₄	D₄×#41	1	4	yes	—
1031	C₂²×C₄	D₄×#41	1	8	yes	—
1032	C₂²×C₄	#3484	1	4	yes	—
1033	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1034	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1035	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1036	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1037	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1038	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1039	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1040	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×#41	1	2	yes	—
1042	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1043	C₂²×C₄	C₂×#585	1	4	yes	—
1044	C₂²×C₄	C₂×#585	1	2	yes	—
1045	C₂³	#34736	1	4	yes	—
1046	C₂³	C₂×#3003	1	4	yes	—
1047	C₂³	#60369	1	4	yes	—
1048	C₂³	#61451	1	8	yes	—
1049	C₂³	#61451	1	8	yes	—
1050	C₂³	#61582	1	8	yes	—
1051	C₂³	C₂³×#120	1	1	yes	characteristic
1052	C₂³	C₂×D₄×#41	1	2	yes	—
1053	C₂³	C₂×#3484	1	2	yes	—
1054	C₂³	#62811	1	2	yes	—
1055	C₂³	C₂³×AGL(1,ℤ/8)	1	1	yes	characteristic
1056	C₂³	C₂³×AGL(1,ℤ/8)	1	1	yes	characteristic
1057	C₂³	C₂×#3585	1	2	yes	—
1058	C₂³	C₂×#3585	1	2	yes	—
1059	C₂³	#63090	1	2	yes	—
1060	D₄	#35356	1	16	yes	—
1061	C₂×C₄	#34736	1	4	yes	—
1062	C₂×C₄	C₂×#3003	1	4	yes	—
1063	C₂×C₄	C₂×#3003	1	4	yes	—
1064	C₂×C₄	C₂²×#525	1	1	yes	characteristic
1065	C₂×C₄	C₂×#3449	1	1	yes	characteristic
1066	C₂×C₄	C₂×D₄×#41	1	2	yes	—
1067	C₂×C₄	C₂×#3484	1	2	yes	—
1068	C₂×C₄	C₂×#3484	1	2	yes	—
1069	C₂×C₄	C₂×#3513	1	8	yes	—
1070	C₂×C₄	C₂×#3487	1	2	yes	—
1071	C₂×C₄	#62811	1	2	yes	—
1072	C₂×C₄	#62820	1	8	yes	—
1073	C₂²	#6453969	1	8	yes	—
1074	C₂²	C₂×#34736	1	1	yes	characteristic
1075	C₂²	#7630939	1	1	yes	characteristic
1076	C₂²	#7631153	1	1	yes	characteristic
1077	C₂²	#7670219	1	4	yes	—
1078	C₂²	C₂²×#3003	1	1	yes	characteristic
1079	C₂²	C₂×#60369	1	1	yes	characteristic
1080	C₂²	#10574840	1	1	yes	characteristic
1081	C₂²	#10574842	1	1	yes	characteristic
1082	C₂²	C₂×#61451	1	2	yes	—
1083	C₂²	C₂×#61451	1	2	yes	—
1084	C₂²	#10576970	1	4	yes	—
1085	C₂²	C₂×#61582	1	2	yes	—
1086	C₂²	#10577301	1	2	yes	—
1087	C₂²	#10577358	1	4	yes	—
1088	C₂²	#10580236	1	2	yes	—
1089	C₂²	#10580309	1	2	yes	—
1090	C₂²	#10580488	1	4	yes	—
1091	C₄	C₂×#35356	1	2	yes	—
1092	C₄	#7642382	1	2	yes	—
1093	C₄	#7670219	1	4	yes	—
1094	C₂	C₂×#6453969	1	1	yes	characteristic
1095	C₂	#72237571	1	1	yes	characteristic
1096	C₂	#72305311	1	4	yes	—
1097	C₂	#72310484	1	1	yes	characteristic
1098	C₂	#72313537	1	1	yes	characteristic
1099	C₂	#72315271	1	1	yes	characteristic
1100	C₂	#72315440	1	4	yes	—
1101	C₂	#72315563	1	1	yes	characteristic
1102	C₂	#72315726	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁴×D₄
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄×#123 ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72342222	C₂	semidirect
2. #72342215	C₂	semidirect
3. #72342204	C₂	semidirect
4. #72342128	C₂	semidirect
5. #72342115	C₂	semidirect
6. #72342079	C₂	semidirect
7. #72316412	C₂	semidirect
8. #72316389	C₂	semidirect
9. #72316330	C₂	semidirect
10. #72316287	C₂	semidirect
11. #72316261	C₂	semidirect
12. C₂×#6502287	C₂	semidirect
13. #72316137	C₂	semidirect
14. #72315892	C₂	semidirect
15. #72315867	C₂	semidirect
16. #72310255	C₂	semidirect
17. C₂²×D₄×#123	C₂	semidirect
18. #72264200	C₂	semidirect
19. C₂×#6387987	C₂	semidirect
20. #72257965	C₂	semidirect
21. #72257855	C₂	semidirect
22. #72257855	C₂	semidirect
23. #72257849	C₂	semidirect
24. #72257849	C₂	semidirect
25. #72249733	C₂	semidirect
26. #72249714	C₂	semidirect
27. #72231457	C₂	semidirect
40. C₂×#34206	C₂²	semidirect
49. C₂×#29235	C₂²	semidirect
50. C₂×#27585	C₂²	semidirect
51. C₂×#27585	C₂²	semidirect
52. C₂×#23930	C₂²	semidirect
53. C₂×#23930	C₂²	semidirect
54. C₂×#27211	C₂²	semidirect
55. C₂×#26705	C₂²	semidirect
58. C₂×#26601	C₂²	semidirect
59. C₂×#26174	C₂²	semidirect
60. C₂×#23001	C₂²	semidirect
61. C₂×#22968	C₂²	semidirect
62. C₂×#22758	C₂²	semidirect
63. C₂×#22670	C₂²	semidirect
64. C₂×#22081	C₂²	semidirect
65. C₂×#22081	C₂²	semidirect
66. C₂×#22046	C₂²	semidirect
67. C₂×#21981	C₂²	semidirect
68. C₂×#21916	C₂²	semidirect
69. C₂×#21859	C₂²	semidirect
72. C₂×#21452	C₂²	semidirect
73. C₂×#21452	C₂²	semidirect
75. C₂×#20536	C₂²	semidirect
76. #656550	C₂²	semidirect
77. #656518	C₂²	semidirect
78. #647840	C₂²	semidirect
79. #647806	C₂²	semidirect
80. #614565	C₂²	semidirect
81. #614082	C₂²	semidirect
82. #614082	C₂²	semidirect
83. #613956	C₂²	semidirect
84. #613956	C₂²	semidirect
86. C₄×#2847	C₂²	semidirect
87. #517505	C₂²	semidirect
88. #517291	C₂²	semidirect
89. #450961	C₂²	semidirect
90. #450947	C₂²	semidirect
91. #449730	C₂²	semidirect
92. #449690	C₂²	semidirect
93. #440804	C₂²	semidirect
94. #440788	C₂²	semidirect
95. #440731	C₂²	semidirect
96. #440712	C₂²	semidirect
97. #429968	C₂²	semidirect
98. #429948	C₂²	semidirect
99. #429163	C₂²	semidirect
100. #429133	C₂²	semidirect
101. #428438	C₂²	semidirect
102. #428420	C₂²	semidirect
103. #427273	C₂²	semidirect
104. #427219	C₂²	semidirect
105. #419627	C₂²	semidirect
106. #419579	C₂²	semidirect
107. #419529	C₂²	semidirect
108. #419483	C₂²	semidirect
109. #410867	C₂²	semidirect
110. #410854	C₂²	semidirect
111. #410838	C₂²	semidirect
112. #410806	C₂²	semidirect
113. #407461	C₂²	semidirect
114. #407445	C₂²	semidirect
115. #405806	C₂²	semidirect
116. #405806	C₂²	semidirect
117. #405790	C₂²	semidirect
118. #405790	C₂²	semidirect
119. #405242	C₂²	semidirect
120. #405242	C₂²	semidirect
121. #405168	C₂²	semidirect
122. #405168	C₂²	semidirect
123. #401609	C₂²	semidirect
124. #401609	C₂²	semidirect
125. #398296	C₂²	semidirect
126. #398260	C₂²	semidirect
127. #398163	C₂²	semidirect
128. #398130	C₂²	semidirect
129. #396540	C₂²	semidirect
130. #396540	C₂²	semidirect
131. #395968	C₂²	semidirect
132. #395874	C₂²	semidirect
136. #394971	C₂²	semidirect
137. #394925	C₂²	semidirect
138. #394447	C₂²	semidirect
139. #394447	C₂²	semidirect
140. #394237	C₂²	semidirect
141. #394237	C₂²	semidirect
147. #392632	C₂²	semidirect
148. #392632	C₂²	semidirect
149. #392623	C₂²	semidirect
152. #392585	C₂²	semidirect
153. #392585	C₂²	semidirect
154. #392570	C₂²	semidirect
160. #382739	C₂²	semidirect
161. #382739	C₂²	semidirect
162. #382611	C₂²	semidirect
163. #380252	C₂²	semidirect
164. #380232	C₂²	semidirect
165. #379791	C₂²	semidirect
166. #379737	C₂²	semidirect
167. #372282	C₂²	semidirect
168. #372282	C₂²	semidirect
169. #372263	C₂²	semidirect
170. #372263	C₂²	semidirect
171. #369966	C₂²	semidirect
172. #368117	C₂²	semidirect
173. #366687	C₂²	semidirect
174. #366347	C₂²	semidirect
175. #366339	C₂²	semidirect
176. #366339	C₂²	semidirect
177. #365156	C₂²	semidirect
178. #364572	C₂²	semidirect
179. #364560	C₂²	semidirect
180. #364560	C₂²	semidirect
181. #362804	C₂²	semidirect
182. #362791	C₂²	semidirect
186. #360873	C₂²	semidirect
187. #360873	C₂²	semidirect
188. #359772	C₂²	semidirect
189. #359772	C₂²	semidirect
190. #359772	C₂²	semidirect
191. #359772	C₂²	semidirect
192. #359689	C₂²	semidirect
193. #359689	C₂²	semidirect
194. #359689	C₂²	semidirect
195. #359689	C₂²	semidirect
196. #355132	C₂²	semidirect
197. #355081	C₂²	semidirect
198. #355056	C₂²	semidirect
200. #354808	C₂²	semidirect
201. #354808	C₂²	semidirect
202. #354777	C₂²	semidirect
233. C₂²×#442	C₂³	semidirect
244. C₂×#2445	D₄	semidirect
251. C₂×#2366	C₂³	semidirect
252. C₂×#2365	C₂³	semidirect
253. C₂×#2354	C₂³	semidirect
254. C₂×D₄×C₄⋊C₄	D₄	semidirect
258. C₂×D₄×C₄⋊C₄	C₂³	semidirect
270. C₂×C₄×#121	C₂³	semidirect
299. C₂×#2094	C₂³	semidirect
300. C₂×#2094	C₂³	semidirect
301. C₂×#2088	C₂³	semidirect
302. C₂×#2071	C₂³	semidirect
303. C₂×#2071	C₂³	semidirect
304. C₂×#2065	C₂³	semidirect
308. C₂×#2023	C₂³	semidirect
309. C₂×#2023	C₂³	semidirect
311. C₂×#2011	C₂³	semidirect
312. C₂×#2011	C₂³	semidirect
315. C₂×#1990	C₂³	semidirect
317. C₂×#1972	C₂³	semidirect
319. C₂×#1957	C₂³	semidirect
321. C₂×#1948	C₂³	semidirect
322. C₂×#1943	C₂³	semidirect
323. C₂×#1943	C₂³	semidirect
324. C₂×#1936	C₂³	semidirect
325. C₂×#1936	C₂³	semidirect
326. C₂×#1936	C₂³	semidirect
327. C₂×#1926	C₂³	semidirect
328. C₂×#1926	C₂³	semidirect
329. C₂×#1926	C₂³	semidirect
330. C₂×#1921	C₂³	semidirect
331. C₂×#1921	C₂³	semidirect
332. C₂×#1920	C₂³	semidirect
333. C₂×#1917	C₂³	semidirect
334. C₂×#1917	C₂³	semidirect
339. C₂×#1879	C₂³	semidirect
340. C₂×#1879	C₂³	semidirect
341. C₂×#1879	C₂³	semidirect
342. C₂×#1879	C₂³	semidirect
343. C₂×#1879	C₂³	semidirect
348. C₂×#1874	C₂³	semidirect
353. C₂×#1864	C₂³	semidirect
354. C₂×#1864	C₂³	semidirect
355. C₂×#1864	C₂³	semidirect
356. C₂×#1864	C₂³	semidirect
357. C₂×#1864	C₂³	semidirect
362. C₂×#1853	C₂³	semidirect
363. C₂×#1844	C₂³	semidirect
364. C₂×#1834	C₂³	semidirect
373. C₂×#1802	C₂³	semidirect
394. C₂×#1770	C₂³	semidirect
395. C₂×#1770	C₂³	semidirect
399. C₂×#1762	C₂³	semidirect
400. C₂×#1762	C₂³	semidirect
405. C₂×#1749	C₂³	semidirect
406. #15222	C₂³	semidirect
407. #15221	C₂³	semidirect
408. #15195	C₂³	semidirect
409. #15195	C₂³	semidirect
411. #15135	C₂³	semidirect
412. #15135	C₂³	semidirect
413. #15125	C₂³	semidirect
414. #15125	C₂³	semidirect
415. #15124	C₂³	semidirect
416. #15124	C₂³	semidirect
420. #14698	C₂³	semidirect
423. #14697	C₂³	semidirect
429. #14041	C₂³	semidirect
430. #14018	C₂³	semidirect
431. #13998	C₂³	semidirect
432. #13994	C₂³	semidirect
433. #13993	C₂³	semidirect
434. #13993	C₂³	semidirect
435. #13974	C₂³	semidirect
436. #13970	C₂³	semidirect
437. #13970	C₂³	semidirect
438. #13970	C₂³	semidirect
440. #13885	C₂³	semidirect
441. #13885	C₂³	semidirect
443. C₄×#380	C₂³	semidirect
444. #11373	C₂³	semidirect
445. #11373	C₂³	semidirect
446. #11357	C₂³	semidirect
447. #11357	C₂³	semidirect
448. #11327	C₂³	semidirect
449. #11323	C₂³	semidirect
450. #11292	C₂³	semidirect
451. #11267	C₂³	semidirect
452. #11228	C₂³	semidirect
453. #11220	C₂³	semidirect
454. #11208	C₂³	semidirect
455. #11208	C₂³	semidirect
456. #11207	C₂³	semidirect
457. #11202	C₂³	semidirect
458. #11200	C₂³	semidirect
459. #11200	C₂³	semidirect
460. #11199	C₂³	semidirect
461. #11189	C₂³	semidirect
462. #11189	C₂³	semidirect
463. #11189	C₂³	semidirect
464. #11123	C₂³	semidirect
465. #11123	C₂³	semidirect
466. #11121	C₂³	semidirect
467. #11096	C₂³	semidirect
468. #11096	C₂³	semidirect
469. #11095	C₂³	semidirect
470. #11095	C₂³	semidirect
471. #11095	C₂³	semidirect
472. #11095	C₂³	semidirect
473. #11076	C₂³	semidirect
474. #11076	C₂³	semidirect
475. #11076	C₂³	semidirect
476. #11076	C₂³	semidirect
477. #11066	C₂³	semidirect
478. #11066	C₂³	semidirect
479. #11066	C₂³	semidirect
480. #11066	C₂³	semidirect
481. #11049	C₂³	semidirect
482. #11042	C₂³	semidirect
483. #11042	C₂³	semidirect
484. #11042	C₂³	semidirect
485. #11042	C₂³	semidirect
486. #11022	C₂³	semidirect
487. #11022	C₂³	semidirect
488. #11022	C₂³	semidirect
494. #10969	C₂³	semidirect
495. #10969	C₂³	semidirect
496. #10969	C₂³	semidirect
498. #10931	C₂³	semidirect
499. #10927	C₂³	semidirect
500. #10925	C₂³	semidirect
501. #10925	C₂³	semidirect
502. #10925	C₂³	semidirect
503. #10925	C₂³	semidirect
504. #10922	C₂³	semidirect
505. #10922	C₂³	semidirect
506. #10921	C₂³	semidirect
507. #10921	C₂³	semidirect
508. #10921	C₂³	semidirect
509. #10921	C₂³	semidirect
510. #10885	C₂³	semidirect
511. #10881	C₂³	semidirect
512. #10881	C₂³	semidirect
513. #10875	C₂³	semidirect
524. #10788	C₂³	semidirect
525. #10788	C₂³	semidirect
526. #10788	C₂³	semidirect
535. #10730	C₂³	semidirect
536. #10730	C₂³	semidirect
541. #10712	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#72342222	2
#72342215	2
#72342204	2
#72342128	2
#72342115	2
#72342079	2
#72316412	2
#72316389	2
#72316330	2
#72316287	2
#72316261	2
C₂×#6502287	2
#72316137	2
#72315892	2
#72315867	2
#72310255	2
C₂²×D₄×#123	2
#72264200	2
C₂×#6387987	2
#72257965	2
#72257855	2
#72257849	2
#72249733	2
#72249714	2
#72231457	2