Subgroups — #72337180

Order 2048.

At least 6306 conjugacy classes of subgroups; only the 3092 normal subgroups are shown.

The subgroup lattice has 960 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72337179	C₂	1	2	yes	maximal, complemented
2	#72337178	C₂	1	1	yes	maximal, characteristic, complemented
3	#72337174	C₂	1	4	yes	maximal, complemented
4	#72337171	C₂	1	2	yes	maximal, complemented
5	#72335102	C₂	1	2	yes	maximal, complemented
6	#72334912	C₂	1	4	yes	maximal, complemented
7	#72334909	C₂	1	2	yes	maximal, complemented
8	#72334885	C₂	1	4	yes	maximal, complemented
9	#72334841	C₂	1	2	yes	maximal, complemented
10	#72319343	C₂	1	2	yes	maximal, complemented
11	#72309335	C₂	1	1	yes	maximal, characteristic, complemented
12	#72266816	C₂	1	2	yes	maximal, complemented
13	#72240433	C₂	1	2	yes	maximal, complemented
14	#72240430	C₂	1	4	yes	maximal, complemented
15	#72237924	C₂	1	4	yes	maximal, complemented
16	#72227421	C₂	1	1	yes	maximal, characteristic, complemented
17	#72225736	C₂	1	1	yes	maximal, characteristic, complemented
18	#72225719	C₂	1	4	yes	maximal, complemented
19	#72225697	C₂	1	4	yes	maximal, complemented
20	#72225672	C₂	1	4	yes	maximal, complemented
21	#72225657	C₂	1	1	yes	maximal, characteristic, complemented
22	#72225630	C₂	1	4	yes	maximal, complemented
23	C₂×#417744	C₂	1	1	yes	maximal, characteristic, complemented
24	#72217730	C₂	1	1	yes	maximal, characteristic, complemented
25	#72217617	C₂	1	4	yes	maximal, complemented
26	#7670206	C₂²	1	4	yes	—
27	#7642244	C₂²	1	1	yes	characteristic
28	C₂²×#2846	C₂²	1	1	yes	characteristic
29	C₂²×#2846	C₂²	1	2	yes	complemented
30	C₂×#35390	C₂²	1	1	yes	characteristic
31	C₂×#32700	C₂²	1	4	yes	complemented
32	C₂×#23984	C₂²	1	4	yes	complemented
33	C₂×#23984	C₂²	1	4	yes	complemented
34	C₂×#23996	C₂²	1	4	yes	complemented
35	#6437621	C₂²	1	2	yes	complemented
36	C₂×#23900	C₂²	1	2	yes	—
37	#6432949	C₂²	1	2	yes	complemented
38	C₂²×#2021	C₂²	1	4	yes	—
39	C₂²×#2021	C₂²	1	2	yes	complemented
40	#6379010	C₂²	1	2	yes	complemented
41	#6374128	C₂²	1	2	yes	complemented
42	#6342371	C₂²	1	2	yes	—
43	C₂×#14679	C₂²	1	2	yes	complemented
44	#479829	C₂²	1	2	yes	complemented
45	#479829	C₂²	1	2	yes	complemented
46	#479829	C₂²	1	2	yes	complemented
47	#479756	C₂²	1	4	yes	complemented
48	#479673	C₂²	1	4	yes	complemented
49	#479578	C₂²	1	4	yes	complemented
50	#478457	C₂²	1	4	yes	complemented
51	#478457	C₂²	1	4	yes	complemented
52	#478457	C₂²	1	4	yes	complemented
53	#478457	C₂²	1	4	yes	complemented
54	#478249	C₂²	1	2	yes	complemented
55	#478249	C₂²	1	2	yes	complemented
56	#478249	C₂²	1	2	yes	complemented
57	#471104	C₂²	1	4	yes	complemented
58	#471048	C₂²	1	4	yes	complemented
59	#470999	C₂²	1	4	yes	complemented
60	#470999	C₂²	1	4	yes	complemented
61	#470996	C₂²	1	4	yes	complemented
62	#470996	C₂²	1	4	yes	complemented
63	#470584	C₂²	1	4	yes	complemented
64	#469683	C₂²	1	4	yes	complemented
65	#469683	C₂²	1	4	yes	complemented
66	#469683	C₂²	1	4	yes	complemented
67	#469683	C₂²	1	4	yes	complemented
68	#469678	C₂²	1	4	yes	complemented
69	#469286	C₂²	1	4	yes	complemented
70	#469286	C₂²	1	4	yes	complemented
71	#464740	C₂²	1	4	yes	complemented
72	#461179	C₂²	1	4	yes	complemented
73	#460131	C₂²	1	4	yes	complemented
74	#460131	C₂²	1	4	yes	complemented
75	#460131	C₂²	1	4	yes	complemented
76	#460131	C₂²	1	4	yes	complemented
77	#460096	C₂²	1	4	yes	complemented
78	#454968	C₂²	1	4	yes	complemented
79	#454968	C₂²	1	4	yes	complemented
80	#454968	C₂²	1	4	yes	complemented
81	#453886	C₂²	1	4	yes	complemented
82	#453886	C₂²	1	4	yes	complemented
83	#453825	C₂²	1	4	yes	complemented
84	#449521	C₂²	1	4	yes	complemented
85	#449521	C₂²	1	4	yes	complemented
86	#449521	C₂²	1	1	yes	characteristic, complemented
87	#449521	C₂²	1	2	yes	complemented
88	#449521	C₂²	1	1	yes	characteristic, complemented
89	#449475	C₂²	1	1	yes	characteristic, complemented
90	#449475	C₂²	1	1	yes	characteristic, complemented
91	#449475	C₂²	1	2	yes	complemented
92	#437718	C₂²	1	4	yes	complemented
93	#437718	C₂²	1	4	yes	complemented
94	#437714	C₂²	1	4	yes	complemented
95	#433540	C₂²	1	4	yes	complemented
96	#432900	C₂²	1	4	yes	complemented
97	#432900	C₂²	1	4	yes	complemented
98	#432891	C₂²	1	4	yes	complemented
99	#429989	C₂²	1	4	yes	complemented
100	#429959	C₂²	1	4	yes	complemented
101	#427387	C₂²	1	4	yes	complemented
102	#427387	C₂²	1	4	yes	complemented
103	#427387	C₂²	1	4	yes	complemented
104	#427387	C₂²	1	4	yes	complemented
105	#427379	C₂²	1	4	yes	complemented
106	#427379	C₂²	1	4	yes	complemented
107	#427374	C₂²	1	4	yes	complemented
108	#427374	C₂²	1	4	yes	complemented
109	#427260	C₂²	1	4	yes	complemented
110	#427239	C₂²	1	4	yes	complemented
111	#423429	C₂²	1	4	yes	complemented
112	#423429	C₂²	1	4	yes	complemented
113	#422795	C₂²	1	4	yes	complemented
114	#422795	C₂²	1	2	yes	complemented
115	#422795	C₂²	1	2	yes	complemented
116	#419823	C₂²	1	4	yes	complemented
117	#419823	C₂²	1	4	yes	complemented
118	#419823	C₂²	1	4	yes	complemented
119	#419812	C₂²	1	4	yes	complemented
120	#419812	C₂²	1	4	yes	complemented
121	#419812	C₂²	1	4	yes	complemented
122	#419459	C₂²	1	4	yes	complemented
123	#419459	C₂²	1	4	yes	complemented
124	#418132	C₂²	1	2	yes	complemented
125	#418132	C₂²	1	2	yes	complemented
126	#417890	C₂²	1	4	yes	complemented
127	#417890	C₂²	1	4	yes	complemented
128	#417824	C₂²	1	2	yes	complemented
129	#417824	C₂²	1	2	yes	complemented
130	#417744	C₂²	1	2	yes	—
131	#417744	C₂²	1	2	yes	—
132	#417744	C₂²	1	2	yes	—
133	#417744	C₂²	1	2	yes	—
134	#417744	C₂²	1	2	yes	complemented
135	#417744	C₂²	1	2	yes	complemented
136	#417744	C₂²	1	4	yes	complemented
137	#417542	C₂²	1	4	yes	complemented
138	#417538	C₂²	1	4	yes	complemented
139	#417493	C₂²	1	4	yes	complemented
140	#417493	C₂²	1	4	yes	complemented
141	#417493	C₂²	1	4	yes	complemented
142	#417493	C₂²	1	4	yes	complemented
143	#417493	C₂²	1	2	yes	complemented
144	#417493	C₂²	1	2	yes	complemented
145	#417493	C₂²	1	4	yes	complemented
146	#406727	C₂²	1	4	yes	complemented
147	#405606	C₂²	1	4	yes	complemented
148	#405156	C₂²	1	4	yes	—
149	#405156	C₂²	1	4	yes	complemented
150	#405156	C₂²	1	4	yes	complemented
151	#404015	C₂²	1	4	yes	complemented
152	#404015	C₂²	1	4	yes	complemented
153	#404015	C₂²	1	4	yes	complemented
154	C₂²⋊#2104	C₂²	1	4	yes	complemented
155	C₂²⋊#2104	C₂²	1	4	yes	complemented
156	#401060	C₂²	1	4	yes	complemented
157	#398102	C₂²	1	4	yes	complemented
158	#396094	C₂²	1	4	yes	complemented
159	#396094	C₂²	1	4	yes	complemented
160	#394470	C₂²	1	4	yes	complemented
161	#394470	C₂²	1	4	yes	complemented
162	#394412	C₂²	1	4	yes	complemented
163	#394412	C₂²	1	4	yes	complemented
164	#394273	C₂²	1	4	yes	complemented
165	#394167	C₂²	1	4	yes	complemented
166	#394167	C₂²	1	4	yes	complemented
167	#394058	C₂²	1	4	yes	—
168	#394058	C₂²	1	4	yes	—
169	#393532	C₂²	1	2	yes	complemented
170	#392368	C₂²	1	2	yes	complemented
171	#391735	C₂²	1	1	yes	characteristic, complemented
172	#391709	C₂²	1	1	yes	characteristic, complemented
173	#391692	C₂²	1	2	yes	complemented
174	#391692	C₂²	1	2	yes	complemented
175	#390995	C₂²	1	4	yes	complemented
176	#390418	C₂²	1	4	yes	complemented
177	#388011	C₂²	1	4	yes	complemented
178	#386017	C₂²	1	2	yes	complemented
179	#386017	C₂²	1	4	yes	complemented
180	#386017	C₂²	1	2	yes	complemented
181	#386017	C₂²	1	2	yes	complemented
182	#386017	C₂²	1	2	yes	complemented
183	#386017	C₂²	1	4	yes	complemented
184	#384256	C₂²	1	4	yes	complemented
185	#384249	C₂²	1	4	yes	complemented
186	#383741	C₂²	1	4	yes	complemented
187	#383741	C₂²	1	4	yes	complemented
188	#382686	C₂²	1	2	yes	complemented
189	#382422	C₂²	1	1	yes	characteristic
190	#382422	C₂²	1	1	yes	characteristic
191	#382422	C₂²	1	1	yes	characteristic
192	#381122	C₂²	1	2	yes	complemented
193	#379806	C₂²	1	2	yes	complemented
194	#379723	C₂²	1	2	yes	—
195	#379723	C₂²	1	2	yes	complemented
196	#379723	C₂²	1	2	yes	complemented
197	#379723	C₂²	1	2	yes	complemented
198	#379723	C₂²	1	2	yes	complemented
199	#376180	C₂²	1	4	yes	complemented
200	#375666	C₂²	1	1	yes	characteristic, complemented
201	#374058	C₂²	1	4	yes	complemented
202	#374022	C₂²	1	4	yes	—
203	#374022	C₂²	1	2	yes	complemented
204	#374022	C₂²	1	2	yes	complemented
205	#374004	C₂²	1	1	yes	characteristic, complemented
206	#364709	C₂²	1	4	yes	complemented
207	#364440	C₂²	1	4	yes	complemented
208	#364410	C₂²	1	4	yes	—
209	#364410	C₂²	1	4	yes	—
210	#364410	C₂²	1	4	yes	complemented
211	#364410	C₂²	1	4	yes	complemented
212	#361312	C₂²	1	4	yes	complemented
213	#359892	C₂²	1	2	yes	complemented
214	#359892	C₂²	1	4	yes	complemented
215	#359799	C₂²	1	4	yes	complemented
216	#359799	C₂²	1	4	yes	complemented
217	#359501	C₂²	1	2	yes	—
218	#359501	C₂²	1	4	yes	complemented
219	#359501	C₂²	1	4	yes	complemented
220	#359442	C₂²	1	4	yes	complemented
221	#359442	C₂²	1	2	yes	complemented
222	#359428	C₂²	1	4	yes	—
223	#359428	C₂²	1	4	yes	complemented
224	C₂×#10965	C₂²	1	1	yes	characteristic
225	C₂×#10965	C₂²	1	2	yes	complemented
226	C₂×#10935	C₂²	1	2	yes	complemented
227	C₂⁸	C₂³	1	1	yes	characteristic
228	C₂×#3490	C₂³	1	4	yes	—
229	C₂×#3484	C₂³	1	1	yes	characteristic
230	C₂²×#534	C₂³	1	1	yes	characteristic
231	C₂²×#534	C₂³	1	2	yes	—
232	C₂³×#120	C₂³	1	4	yes	—
233	C₂³×#120	C₂³	1	2	yes	—
234	C₂³×#120	C₂³	1	2	yes	—
235	C₂³×#120	C₂³	1	1	yes	characteristic
236	C₂×#3026	C₂³	1	4	yes	complemented
237	C₂²×B(4,𝔽₂)	C₂³	1	2	yes	—
238	C₂²×B(4,𝔽₂)	C₂³	1	2	yes	—
239	C₂×#2883	C₂³	1	2	yes	complemented
240	C₂³×#99	C₂³	1	2	yes	—
241	C₂³×#99	C₂³	1	4	yes	—
242	C₂×#2846	C₂³	1	4	yes	—
243	C₂×#2846	C₂³	1	2	yes	—
244	C₂×#2846	C₂³	1	4	yes	—
245	C₂×#2846	C₂³	1	4	yes	—
246	C₂×#2846	C₂³	1	1	yes	characteristic
247	C₂×#2846	C₂³	1	1	yes	characteristic
248	C₂×#2846	C₂³	1	1	yes	characteristic
249	C₂×#2846	C₂³	1	1	yes	characteristic
250	C₂×#2846	C₂³	1	2	yes	—
251	C₂×#2846	C₂³	1	2	yes	—
252	C₂×#2846	C₂³	1	4	yes	—
253	C₂×#2846	C₂³	1	2	yes	—
254	C₂×#2846	C₂³	1	4	yes	—
255	C₂×#2846	C₂³	1	4	yes	—
256	C₂×#2846	C₂³	1	2	yes	—
257	#35390	C₂³	1	2	yes	—
258	#35390	C₂³	1	2	yes	—
259	#35390	C₂³	1	2	yes	—
260	#35390	C₂³	1	2	yes	—
261	#35367	C₂³	1	4	yes	—
262	#35350	C₂³	1	1	yes	characteristic
263	#35350	C₂³	1	1	yes	characteristic
264	#35350	C₂³	1	4	yes	—
265	#35348	C₂³	1	2	yes	—
266	#35348	C₂³	1	2	yes	—
267	#35348	C₂³	1	4	yes	—
268	#35348	C₂³	1	4	yes	—
269	#35346	C₂³	1	1	yes	characteristic
270	#35346	C₂³	1	1	yes	characteristic
271	#34992	C₂³	1	2	yes	—
272	#34992	C₂³	1	4	yes	—
273	#34982	C₂³	1	4	yes	—
274	#34981	C₂³	1	4	yes	—
275	#34980	C₂³	1	4	yes	—
276	#34198	C₂³	1	4	yes	—
277	#34198	C₂³	1	4	yes	—
278	#34171	C₂³	1	1	yes	characteristic
279	#34171	C₂³	1	4	yes	—
280	C₂²×#379	C₂³	1	2	yes	—
281	C₂²×#379	C₂³	1	4	yes	—
282	C₂²×#379	C₂³	1	1	yes	characteristic
283	C₂²×#379	C₂³	1	4	yes	—
284	C₂²×#379	C₂³	1	2	yes	—
285	C₂²×#379	C₂³	1	2	yes	—
286	C₂²×#379	C₂³	1	4	yes	—
287	C₂²×#379	C₂³	1	2	yes	—
288	C₂×#2273	C₂³	1	1	yes	characteristic
289	C₂×#2104	C₂³	1	4	yes	complemented
290	C₂×#2104	C₂³	1	4	yes	complemented
291	#23515	C₂³	1	2	yes	complemented
292	#23515	C₂³	1	4	yes	complemented
293	#23515	C₂³	1	2	yes	complemented
294	C₂×#2032	C₂³	1	4	yes	complemented
295	C₂×#2032	C₂³	1	4	yes	complemented
296	C₂×#2032	C₂³	1	4	yes	complemented
297	C₂×#2032	C₂³	1	4	yes	complemented
298	C₂×#2032	C₂³	1	4	yes	complemented
299	C₂×#2029	C₂³	1	4	yes	—
300	C₂×#2029	C₂³	1	4	yes	—
301	C₂×#2029	C₂³	1	4	yes	—
302	C₂×#2029	C₂³	1	4	yes	—
303	#23444	C₂³	1	2	yes	complemented
304	#23444	C₂³	1	4	yes	complemented
305	#23444	C₂³	1	2	yes	complemented
306	#23444	C₂³	1	4	yes	complemented
307	#23444	C₂³	1	4	yes	complemented
308	C₂×#2021	C₂³	1	4	yes	—
309	C₂×#2021	C₂³	1	4	yes	—
310	C₂×#2021	C₂³	1	4	yes	—
311	C₂×#2021	C₂³	1	4	yes	—
312	C₂×#2021	C₂³	1	2	yes	—
313	C₂×#2021	C₂³	1	4	yes	—
314	C₂×#2021	C₂³	1	4	yes	—
315	C₂×#2021	C₂³	1	4	yes	—
316	C₂×#2021	C₂³	1	4	yes	—
317	C₂×#2021	C₂³	1	4	yes	—
318	C₂×#2021	C₂³	1	4	yes	—
319	C₂×#2021	C₂³	1	2	yes	—
320	C₂×#2021	C₂³	1	4	yes	—
321	C₂×#2021	C₂³	1	4	yes	—
322	C₂×#2021	C₂³	1	4	yes	—
323	C₂×#2021	C₂³	1	2	yes	—
324	C₂×#2021	C₂³	1	4	yes	—
325	C₂×#2021	C₂³	1	2	yes	—
326	C₂×#2021	C₂³	1	4	yes	—
327	C₂×#2021	C₂³	1	4	yes	—
328	C₂×#2021	C₂³	1	4	yes	—
329	C₂×#2021	C₂³	1	4	yes	—
330	C₂×#2021	C₂³	1	4	yes	—
331	C₂×#2021	C₂³	1	4	yes	—
332	#21213	C₂³	1	4	yes	complemented
333	C₂×#1913	C₂³	1	4	yes	complemented
334	C₂×#1913	C₂³	1	4	yes	complemented
335	C₂×#1913	C₂³	1	4	yes	complemented
336	C₂×#1913	C₂³	1	4	yes	complemented
337	C₂×#1913	C₂³	1	4	yes	complemented
338	C₂×#1913	C₂³	1	4	yes	complemented
339	C₂×#1913	C₂³	1	4	yes	complemented
340	C₂×#1913	C₂³	1	4	yes	complemented
341	C₂×#1913	C₂³	1	4	yes	complemented
342	C₂×#1913	C₂³	1	4	yes	complemented
343	#20984	C₂³	1	4	yes	complemented
344	#20984	C₂³	1	4	yes	complemented
345	#20984	C₂³	1	4	yes	complemented
346	#20984	C₂³	1	4	yes	complemented
347	#20984	C₂³	1	4	yes	complemented
348	C₂×#1898	C₂³	1	4	yes	—
349	C₂×#1898	C₂³	1	4	yes	—
350	C₂×#1898	C₂³	1	4	yes	—
351	C₂×#1898	C₂³	1	4	yes	—
352	C₂×#1898	C₂³	1	4	yes	—
353	C₂×#1898	C₂³	1	4	yes	—
354	C₂×#1898	C₂³	1	4	yes	—
355	C₂×#1898	C₂³	1	4	yes	—
356	C₂×#1898	C₂³	1	4	yes	—
357	C₂×#1898	C₂³	1	4	yes	—
358	C₂×#1898	C₂³	1	4	yes	—
359	C₂×#1898	C₂³	1	4	yes	—
360	C₂×#1898	C₂³	1	4	yes	—
361	#20960	C₂³	1	4	yes	complemented
362	C₂×#1889	C₂³	1	4	yes	—
363	C₂×#1889	C₂³	1	4	yes	—
364	C₂×#1889	C₂³	1	4	yes	—
365	C₂×#1889	C₂³	1	4	yes	—
366	C₂×#1889	C₂³	1	4	yes	—
367	C₂×#1889	C₂³	1	4	yes	—
368	C₂×#1889	C₂³	1	4	yes	—
369	C₂×#1889	C₂³	1	4	yes	—
370	C₂×#1889	C₂³	1	4	yes	—
371	C₂×#1889	C₂³	1	2	yes	—
372	C₂×#1889	C₂³	1	2	yes	—
373	C₂×#1889	C₂³	1	4	yes	—
374	C₂×#1889	C₂³	1	4	yes	—
375	C₂×#1889	C₂³	1	4	yes	—
376	C₂×#1889	C₂³	1	4	yes	—
377	C₂×#1889	C₂³	1	4	yes	—
378	C₂×#1828	C₂³	1	4	yes	complemented
379	C₂×#1828	C₂³	1	4	yes	complemented
380	C₂×#1828	C₂³	1	4	yes	complemented
381	C₂×#1828	C₂³	1	4	yes	complemented
382	C₂×#1819	C₂³	1	4	yes	—
383	C₂×#1819	C₂³	1	2	yes	—
384	C₂×#1819	C₂³	1	4	yes	—
385	C₂×#1819	C₂³	1	2	yes	—
386	C₂×#1819	C₂³	1	2	yes	—
387	#20633	C₂³	1	2	yes	complemented
388	#20585	C₂³	1	2	yes	complemented
389	C₂×#1781	C₂³	1	2	yes	—
390	C₂×#1781	C₂³	1	2	yes	—
391	C₂×#1781	C₂³	1	4	yes	—
392	C₂×#1781	C₂³	1	4	yes	—
393	C₂×#1781	C₂³	1	2	yes	—
394	#20392	C₂³	1	2	yes	complemented
395	C₂²×#342	C₂³	1	4	yes	—
396	C₂²×#342	C₂³	1	2	yes	—
397	#14679	C₂³	1	4	yes	—
398	#14679	C₂³	1	4	yes	—
399	#14679	C₂³	1	4	yes	—
400	#14679	C₂³	1	2	yes	—
401	#14679	C₂³	1	2	yes	—
402	#14679	C₂³	1	2	yes	—
403	#14679	C₂³	1	2	yes	—
404	#14679	C₂³	1	2	yes	—
405	#14679	C₂³	1	2	yes	—
406	#14679	C₂³	1	4	yes	—
407	#14679	C₂³	1	2	yes	—
408	#11394	C₂³	1	4	yes	complemented
409	#11394	C₂³	1	4	yes	complemented
410	#11394	C₂³	1	4	yes	complemented
411	#11351	C₂³	1	4	yes	complemented
412	#11351	C₂³	1	4	yes	complemented
413	#11318	C₂³	1	4	yes	complemented
414	#11318	C₂³	1	4	yes	complemented
415	#11318	C₂³	1	4	yes	complemented
416	#11318	C₂³	1	4	yes	complemented
417	#11318	C₂³	1	4	yes	complemented
418	#11318	C₂³	1	4	yes	complemented
419	#11318	C₂³	1	4	yes	complemented
420	#11318	C₂³	1	4	yes	complemented
421	#11318	C₂³	1	4	yes	complemented
422	#11318	C₂³	1	4	yes	complemented
423	#11318	C₂³	1	4	yes	complemented
424	#11318	C₂³	1	4	yes	complemented
425	#11318	C₂³	1	4	yes	complemented
426	#11318	C₂³	1	4	yes	complemented
427	#11279	C₂³	1	4	yes	complemented
428	#11279	C₂³	1	4	yes	complemented
429	#11279	C₂³	1	4	yes	complemented
430	#11279	C₂³	1	4	yes	complemented
431	#11279	C₂³	1	4	yes	complemented
432	#11279	C₂³	1	4	yes	complemented
433	#11279	C₂³	1	4	yes	complemented
434	#11279	C₂³	1	4	yes	complemented
435	#11279	C₂³	1	4	yes	complemented
436	#11205	C₂³	1	4	yes	complemented
437	#11205	C₂³	1	4	yes	complemented
438	#11196	C₂³	1	2	yes	—
439	#11196	C₂³	1	4	yes	—
440	#11196	C₂³	1	4	yes	—
441	#11196	C₂³	1	4	yes	—
442	#11196	C₂³	1	4	yes	—
443	#11196	C₂³	1	4	yes	—
444	#11196	C₂³	1	4	yes	—
445	#11196	C₂³	1	4	yes	—
446	#11196	C₂³	1	4	yes	—
447	#11196	C₂³	1	4	yes	—
448	#11196	C₂³	1	4	yes	—
449	#11196	C₂³	1	2	yes	—
450	#11196	C₂³	1	4	yes	—
451	#11196	C₂³	1	2	yes	—
452	#11196	C₂³	1	4	yes	—
453	#11196	C₂³	1	2	yes	—
454	#11196	C₂³	1	2	yes	—
455	#11196	C₂³	1	2	yes	—
456	#11196	C₂³	1	4	yes	—
457	#11172	C₂³	1	4	yes	complemented
458	#11172	C₂³	1	4	yes	complemented
459	#11172	C₂³	1	4	yes	complemented
460	#11172	C₂³	1	4	yes	complemented
461	#11169	C₂³	1	4	yes	complemented
462	#11169	C₂³	1	4	yes	complemented
463	#11169	C₂³	1	2	yes	complemented
464	#11169	C₂³	1	4	yes	complemented
465	#11169	C₂³	1	2	yes	complemented
466	#11166	C₂³	1	4	yes	complemented
467	#11166	C₂³	1	4	yes	complemented
468	#11166	C₂³	1	4	yes	complemented
469	#11166	C₂³	1	2	yes	complemented
470	#11166	C₂³	1	2	yes	complemented
471	#11089	C₂³	1	4	yes	complemented
472	#11089	C₂³	1	4	yes	complemented
473	#11089	C₂³	1	4	yes	complemented
474	#11089	C₂³	1	4	yes	complemented
475	#11089	C₂³	1	4	yes	complemented
476	#11089	C₂³	1	4	yes	complemented
477	#11089	C₂³	1	4	yes	complemented
478	#11089	C₂³	1	4	yes	complemented
479	#11089	C₂³	1	4	yes	complemented
480	#11089	C₂³	1	4	yes	complemented
481	#11089	C₂³	1	4	yes	complemented
482	#11089	C₂³	1	4	yes	complemented
483	#11089	C₂³	1	4	yes	complemented
484	#11089	C₂³	1	4	yes	complemented
485	#11089	C₂³	1	4	yes	complemented
486	#11069	C₂³	1	4	yes	—
487	#11069	C₂³	1	4	yes	—
488	#11069	C₂³	1	4	yes	—
489	#11069	C₂³	1	4	yes	—
490	#11069	C₂³	1	4	yes	—
491	#11069	C₂³	1	4	yes	—
492	#11069	C₂³	1	4	yes	—
493	#11069	C₂³	1	4	yes	—
494	#11069	C₂³	1	4	yes	—
495	#11069	C₂³	1	4	yes	—
496	#11069	C₂³	1	4	yes	—
497	#11069	C₂³	1	4	yes	—
498	#11069	C₂³	1	4	yes	—
499	#11069	C₂³	1	4	yes	—
500	#11069	C₂³	1	4	yes	—
501	#11069	C₂³	1	4	yes	—
502	#11069	C₂³	1	4	yes	—
503	#11069	C₂³	1	4	yes	—
504	#11069	C₂³	1	4	yes	—
505	#11069	C₂³	1	4	yes	—
506	#11046	C₂³	1	4	yes	complemented
507	#11046	C₂³	1	4	yes	complemented
508	#10991	C₂³	1	4	yes	—
509	#10991	C₂³	1	4	yes	—
510	#10991	C₂³	1	4	yes	—
511	#10991	C₂³	1	4	yes	—
512	#10991	C₂³	1	4	yes	—
513	#10991	C₂³	1	4	yes	—
514	#10991	C₂³	1	4	yes	—
515	#10991	C₂³	1	4	yes	—
516	#10991	C₂³	1	4	yes	—
517	#10991	C₂³	1	4	yes	—
518	#10991	C₂³	1	4	yes	—
519	#10991	C₂³	1	4	yes	—
520	#10991	C₂³	1	4	yes	—
521	#10991	C₂³	1	4	yes	—
522	#10991	C₂³	1	4	yes	—
523	#10991	C₂³	1	4	yes	—
524	#10991	C₂³	1	4	yes	—
525	#10991	C₂³	1	4	yes	—
526	#10991	C₂³	1	4	yes	—
527	#10991	C₂³	1	2	yes	—
528	#10991	C₂³	1	4	yes	—
529	#10991	C₂³	1	2	yes	—
530	#10991	C₂³	1	2	yes	—
531	#10991	C₂³	1	2	yes	—
532	#10991	C₂³	1	4	yes	—
533	#10991	C₂³	1	4	yes	—
534	#10991	C₂³	1	4	yes	—
535	#10991	C₂³	1	4	yes	—
536	#10972	C₂³	1	4	yes	complemented
537	#10972	C₂³	1	4	yes	complemented
538	#10972	C₂³	1	4	yes	complemented
539	#10972	C₂³	1	4	yes	complemented
540	#10972	C₂³	1	4	yes	complemented
541	#10972	C₂³	1	4	yes	complemented
542	#10972	C₂³	1	4	yes	complemented
543	#10972	C₂³	1	4	yes	complemented
544	#10972	C₂³	1	4	yes	complemented
545	#10972	C₂³	1	4	yes	complemented
546	#10965	C₂³	1	4	yes	—
547	#10965	C₂³	1	4	yes	—
548	#10965	C₂³	1	4	yes	—
549	#10965	C₂³	1	4	yes	—
550	#10965	C₂³	1	4	yes	—
551	#10965	C₂³	1	4	yes	—
552	#10965	C₂³	1	4	yes	—
553	#10965	C₂³	1	4	yes	—
554	#10965	C₂³	1	4	yes	—
555	#10965	C₂³	1	4	yes	—
556	#10965	C₂³	1	4	yes	—
557	#10965	C₂³	1	2	yes	—
558	#10965	C₂³	1	2	yes	—
559	#10965	C₂³	1	2	yes	—
560	#10965	C₂³	1	2	yes	—
561	#10965	C₂³	1	4	yes	—
562	#10965	C₂³	1	1	yes	characteristic
563	#10965	C₂³	1	1	yes	characteristic
564	#10965	C₂³	1	2	yes	—
565	#10965	C₂³	1	1	yes	characteristic
566	#10965	C₂³	1	1	yes	characteristic
567	#10965	C₂³	1	1	yes	characteristic
568	#10965	C₂³	1	2	yes	—
569	#10965	C₂³	1	2	yes	—
570	#10965	C₂³	1	2	yes	—
571	#10965	C₂³	1	2	yes	—
572	#10965	C₂³	1	2	yes	—
573	#10965	C₂³	1	4	yes	—
574	#10965	C₂³	1	4	yes	—
575	#10965	C₂³	1	1	yes	characteristic
576	#10965	C₂³	1	2	yes	—
577	#10965	C₂³	1	4	yes	—
578	#10965	C₂³	1	2	yes	—
579	#10965	C₂³	1	1	yes	characteristic
580	#10965	C₂³	1	2	yes	—
581	#10965	C₂³	1	1	yes	characteristic
582	#10965	C₂³	1	2	yes	—
583	#10938	C₂³	1	4	yes	complemented
584	#10938	C₂³	1	4	yes	complemented
585	#10938	C₂³	1	4	yes	complemented
586	#10938	C₂³	1	2	yes	complemented
587	#10938	C₂³	1	2	yes	complemented
588	#10935	C₂³	1	2	yes	—
589	#10935	C₂³	1	2	yes	—
590	#10935	C₂³	1	4	yes	—
591	#10935	C₂³	1	4	yes	—
592	#10935	C₂³	1	2	yes	—
593	#10935	C₂³	1	4	yes	—
594	#10935	C₂³	1	4	yes	—
595	#10935	C₂³	1	4	yes	—
596	#10935	C₂³	1	2	yes	—
597	#10935	C₂³	1	4	yes	—
598	#10915	C₂³	1	4	yes	complemented
599	#10915	C₂³	1	4	yes	complemented
600	#10915	C₂³	1	2	yes	complemented
601	#10915	C₂³	1	4	yes	complemented
602	#10915	C₂³	1	2	yes	complemented
603	#10829	C₂³	1	4	yes	complemented
604	#10829	C₂³	1	4	yes	complemented
605	#10829	C₂³	1	4	yes	complemented
606	#10829	C₂³	1	4	yes	complemented
607	#10829	C₂³	1	4	yes	complemented
608	#10829	C₂³	1	4	yes	complemented
609	#10768	C₂³	1	4	yes	complemented
610	#10768	C₂³	1	4	yes	complemented
611	#10768	C₂³	1	4	yes	complemented
612	#10768	C₂³	1	4	yes	complemented
613	#10754	C₂³	1	4	yes	complemented
614	#10754	C₂³	1	4	yes	complemented
615	#10754	C₂³	1	4	yes	complemented
616	#10754	C₂³	1	4	yes	complemented
617	#10735	C₂³	1	4	yes	—
618	#10735	C₂³	1	4	yes	—
619	#10735	C₂³	1	4	yes	—
620	#10735	C₂³	1	4	yes	—
621	#10735	C₂³	1	4	yes	—
622	#10735	C₂³	1	4	yes	—
623	#10735	C₂³	1	4	yes	—
624	#10735	C₂³	1	4	yes	—
625	#10735	C₂³	1	4	yes	—
626	#10735	C₂³	1	4	yes	—
627	#10735	C₂³	1	4	yes	—
628	#10735	C₂³	1	4	yes	—
629	#10735	C₂³	1	4	yes	—
630	#10725	C₂³	1	4	yes	—
631	#10725	C₂³	1	4	yes	—
632	#10725	C₂³	1	4	yes	—
633	#10725	C₂³	1	4	yes	—
634	#10725	C₂³	1	4	yes	—
635	#10725	C₂³	1	4	yes	—
636	C₂⁷	C₂⁴	1	2	yes	—
637	C₂⁷	C₂⁴	1	1	yes	characteristic
638	C₂⁷	C₂⁴	1	1	yes	characteristic
639	C₂⁷	C₂⁴	1	2	yes	—
640	C₂⁷	C₂⁴	1	1	yes	characteristic
641	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
642	C₂⁴×D₄	#41	1	2	yes	complemented
643	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
644	C₂⁴×D₄	C₂⁴	1	2	yes	—
645	C₂×#543	C₂⁴	1	4	yes	—
646	C₂×#534	C₂⁴	1	2	yes	—
647	C₂×#534	C₂⁴	1	2	yes	—
648	C₂×#534	C₂⁴	1	2	yes	—
649	C₂×#534	C₂⁴	1	4	yes	—
650	C₂×#534	C₂⁴	1	4	yes	—
651	C₂×#534	C₂⁴	1	4	yes	—
652	C₂×#534	C₂⁴	1	4	yes	—
653	C₂²×#120	#41	1	2	yes	complemented
654	C₂²×#120	#41	1	2	yes	complemented
655	C₂²×#120	C₂⁴	1	4	yes	—
656	C₂²×#120	C₂⁴	1	4	yes	—
657	C₂²×#120	C₂⁴	1	2	yes	—
658	C₂²×#120	C₂⁴	1	4	yes	—
659	C₂²×#120	C₂⁴	1	2	yes	—
660	C₂²×#120	C₂⁴	1	4	yes	—
661	C₂²×#120	C₂⁴	1	4	yes	—
662	C₂²×#120	C₂⁴	1	4	yes	—
663	C₂²×#120	C₂⁴	1	2	yes	—
664	C₂²×#120	C₂⁴	1	2	yes	—
665	C₂²×#120	C₂⁴	1	4	yes	—
666	C₂²×#120	C₂⁴	1	4	yes	—
667	C₂²×#120	C₂⁴	1	2	yes	—
668	C₂²×#120	C₂⁴	1	2	yes	—
669	C₂²×#120	C₂⁴	1	1	yes	characteristic
670	C₂²×#120	C₂⁴	1	1	yes	characteristic
671	C₂²×#120	C₂⁴	1	1	yes	characteristic
672	C₂²×#120	C₂⁴	1	1	yes	characteristic
673	C₂²×#120	C₂⁴	1	2	yes	—
674	C₂×#518	C₂⁴	1	1	yes	characteristic
675	C₂×#518	C₂⁴	1	4	yes	—
676	C₂×#518	C₂⁴	1	4	yes	—
677	C₂×#518	C₂⁴	1	4	yes	—
678	C₂×#518	C₂⁴	1	2	yes	—
679	C₂³×C₂²⋊C₄	#41	1	2	yes	complemented
680	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
682	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
683	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
685	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
686	C₂²×#99	C₂⁴	1	2	yes	—
687	C₂²×#99	C₂⁴	1	4	yes	—
688	C₂²×#99	C₂⁴	1	4	yes	—
689	C₂²×#99	C₂⁴	1	4	yes	—
690	C₂²×#99	C₂⁴	1	4	yes	—
691	C₂²×#99	C₂⁴	1	4	yes	—
692	C₂²×#99	C₂⁴	1	4	yes	—
693	C₂²×#99	C₂⁴	1	4	yes	—
694	C₂²×#99	C₂⁴	1	4	yes	—
695	C₂²×#99	C₂⁴	1	4	yes	—
696	C₂²×#99	C₂⁴	1	4	yes	—
697	C₂²×#99	C₂⁴	1	4	yes	—
698	C₂²×#99	C₂⁴	1	4	yes	—
699	C₂²×#99	C₂⁴	1	4	yes	—
700	C₂²×#99	C₂⁴	1	4	yes	—
701	C₂²×#99	C₂⁴	1	2	yes	—
702	C₂²×#99	C₂⁴	1	2	yes	—
703	C₂²×#99	C₂⁴	1	4	yes	—
704	C₂²×#99	C₂⁴	1	4	yes	—
705	C₂²×#99	C₂⁴	1	2	yes	—
706	C₂²×#99	C₂⁴	1	2	yes	—
707	C₂²×#99	C₂⁴	1	4	yes	—
708	C₂²×#99	C₂⁴	1	2	yes	—
709	C₂²×#99	C₂⁴	1	2	yes	—
710	C₂²×#99	C₂⁴	1	4	yes	—
711	C₂²×#99	C₂⁴	1	4	yes	—
712	C₂²×#99	C₂⁴	1	4	yes	—
713	C₂²×#99	C₂⁴	1	2	yes	—
714	C₂²×#99	C₂⁴	1	4	yes	—
715	C₂²×#99	C₂⁴	1	4	yes	—
716	#2315	C₂⁴	1	4	yes	—
717	#2315	C₂⁴	1	2	yes	—
718	#2315	C₂⁴	1	2	yes	—
719	#2315	C₂⁴	1	4	yes	—
720	#2315	C₂⁴	1	4	yes	—
721	#2315	C₂⁴	1	4	yes	—
722	#2308	C₂⁴	1	2	yes	—
723	#2308	C₂⁴	1	2	yes	—
724	#2308	C₂⁴	1	4	yes	—
725	#2308	C₂⁴	1	4	yes	—
726	#2308	C₂⁴	1	1	yes	characteristic
727	#2308	C₂⁴	1	1	yes	characteristic
728	#2308	C₂⁴	1	4	yes	—
729	#2308	C₂⁴	1	4	yes	—
730	#2308	C₂⁴	1	4	yes	—
731	C₂×#379	C₂⁴	1	2	yes	—
732	C₂×#379	C₂⁴	1	2	yes	—
733	C₂×#379	C₂⁴	1	2	yes	—
734	C₂×#379	C₂⁴	1	2	yes	—
735	C₂×#379	C₂⁴	1	2	yes	—
736	C₂×#379	C₂⁴	1	2	yes	—
737	C₂×#379	C₂⁴	1	4	yes	—
738	C₂×#379	C₂⁴	1	4	yes	—
739	C₂×#379	C₂⁴	1	1	yes	characteristic
740	C₂×#379	C₂⁴	1	1	yes	characteristic
741	C₂×#379	C₂⁴	1	2	yes	—
742	C₂×#379	C₂⁴	1	4	yes	—
743	C₂×#379	C₂⁴	1	4	yes	—
744	C₂×#379	C₂⁴	1	4	yes	—
745	C₂×#379	C₂⁴	1	2	yes	—
746	C₂×#379	C₂⁴	1	4	yes	—
747	C₂×#379	C₂⁴	1	4	yes	—
748	C₂×#379	C₂⁴	1	4	yes	—
749	C₂×#379	C₂⁴	1	2	yes	—
750	C₂×#379	C₂⁴	1	4	yes	—
751	C₂×#379	C₂⁴	1	4	yes	—
752	C₂×#379	C₂⁴	1	4	yes	—
753	C₂×#379	C₂⁴	1	4	yes	—
754	C₂×#379	C₂⁴	1	4	yes	—
755	C₂×#379	C₂⁴	1	4	yes	—
756	C₂×#379	C₂⁴	1	4	yes	—
757	C₂×#379	C₂⁴	1	2	yes	—
758	C₂×#379	C₂⁴	1	2	yes	—
759	C₂×#379	C₂⁴	1	4	yes	—
760	C₂×#379	C₂⁴	1	4	yes	—
761	C₂×#379	C₂⁴	1	2	yes	—
762	C₂×#379	C₂⁴	1	4	yes	—
763	C₂×#379	C₂⁴	1	2	yes	—
764	C₂×#379	C₂⁴	1	4	yes	—
765	C₂×#379	C₂⁴	1	2	yes	—
766	C₂×#379	C₂⁴	1	4	yes	—
767	C₂×#379	C₂⁴	1	4	yes	—
768	C₂×#379	C₂⁴	1	2	yes	—
769	C₂×#379	C₂⁴	1	4	yes	—
770	C₂×#379	C₂⁴	1	2	yes	—
771	C₂×#379	C₂⁴	1	4	yes	—
772	#2273	C₂⁴	1	4	yes	—
773	#2273	C₂⁴	1	2	yes	—
774	#2273	C₂⁴	1	2	yes	—
775	C₂×#342	C₂⁴	1	4	yes	—
776	C₂×#342	C₂⁴	1	4	yes	—
777	C₂×#342	C₂⁴	1	4	yes	—
778	C₂×#342	C₂⁴	1	4	yes	—
779	C₂×#342	C₂⁴	1	4	yes	—
780	C₂×#342	C₂⁴	1	4	yes	—
781	C₂×#342	C₂⁴	1	4	yes	—
782	C₂×#342	C₂⁴	1	4	yes	—
783	C₂×#342	C₂⁴	1	4	yes	—
784	C₂×#342	C₂⁴	1	4	yes	—
785	C₂×#342	C₂⁴	1	4	yes	—
786	C₂×#342	C₂⁴	1	4	yes	—
787	C₂×#342	C₂⁴	1	4	yes	—
788	C₂×#342	C₂⁴	1	2	yes	—
789	C₂×#342	C₂⁴	1	2	yes	—
790	C₂×#342	C₂⁴	1	4	yes	—
791	C₂×#342	C₂⁴	1	4	yes	—
792	C₂×#342	C₂⁴	1	4	yes	—
793	C₂×#342	C₂⁴	1	4	yes	—
794	C₂×#342	C₂⁴	1	4	yes	—
795	C₂×#342	C₂⁴	1	4	yes	—
796	C₂×#342	C₂⁴	1	4	yes	—
797	C₂×#342	C₂⁴	1	4	yes	—
798	C₂×#342	C₂⁴	1	4	yes	—
799	C₂×#342	C₂⁴	1	4	yes	—
800	C₂×#342	C₂⁴	1	4	yes	—
801	C₂×#342	C₂⁴	1	4	yes	—
802	C₂×#342	C₂⁴	1	4	yes	—
803	C₂×#342	C₂⁴	1	2	yes	—
804	C₂×#342	C₂⁴	1	2	yes	—
805	C₂×#342	C₂⁴	1	2	yes	—
806	C₂×#342	C₂⁴	1	4	yes	—
807	C₂×#342	C₂⁴	1	4	yes	—
808	C₂×#342	C₂⁴	1	4	yes	—
809	C₂×#342	C₂⁴	1	4	yes	—
810	C₂×#342	C₂⁴	1	4	yes	—
811	C₂×#342	C₂⁴	1	2	yes	—
812	C₂×#342	C₂⁴	1	4	yes	—
813	C₂×#342	C₂⁴	1	4	yes	—
814	C₂×#342	C₂⁴	1	2	yes	—
815	C₂×#342	C₂⁴	1	4	yes	—
816	C₂×#342	C₂⁴	1	4	yes	—
817	C₂×#342	C₂⁴	1	4	yes	—
818	C₂×#342	C₂⁴	1	4	yes	—
819	C₂×#342	C₂⁴	1	4	yes	—
820	C₂×#342	C₂⁴	1	4	yes	—
821	C₂×#342	C₂⁴	1	4	yes	—
822	C₂×#342	C₂⁴	1	4	yes	—
823	C₂×#342	C₂⁴	1	4	yes	—
824	C₂×#342	C₂⁴	1	4	yes	—
825	C₂×#342	C₂⁴	1	4	yes	—
826	C₂×#342	C₂⁴	1	4	yes	—
827	C₂×#342	C₂⁴	1	4	yes	—
828	C₂×#342	C₂⁴	1	4	yes	—
829	C₂×#342	C₂⁴	1	4	yes	—
830	C₂×#342	C₂⁴	1	4	yes	—
831	C₂×#342	C₂⁴	1	4	yes	—
832	C₂×#342	C₂⁴	1	4	yes	—
833	C₂×#342	C₂⁴	1	4	yes	—
834	C₂×#342	C₂⁴	1	4	yes	—
835	C₂×#342	C₂⁴	1	4	yes	—
836	C₂×#342	C₂⁴	1	4	yes	—
837	C₂×#342	C₂⁴	1	4	yes	—
838	C₂×#342	C₂⁴	1	4	yes	—
839	C₂×#342	C₂⁴	1	4	yes	—
840	C₂×#342	C₂⁴	1	2	yes	—
841	C₂⁶	C₂×#41	1	2	yes	—
842	C₂⁶	C₂×#41	1	1	yes	characteristic
843	C₂⁶	C₂×#41	1	2	yes	—
844	C₂⁶	H(5,𝔽₂)	1	4	yes	—
845	C₂⁶	H(5,𝔽₂)	1	4	yes	—
846	C₂⁶	H(5,𝔽₂)	1	2	yes	—
847	C₂⁶	C₂⁵	1	1	yes	characteristic
848	C₂⁶	C₂⁵	1	1	yes	characteristic
849	C₂⁶	C₂⁵	1	2	yes	—
850	C₂⁶	C₂⁵	1	2	yes	—
851	C₂⁶	C₂⁵	1	1	yes	characteristic
852	C₂³×D₄	C₂×#41	1	1	yes	characteristic
853	C₂³×D₄	C₂×#41	1	1	yes	characteristic
854	C₂³×D₄	C₂×#41	1	2	yes	—
855	C₂³×D₄	C₂×#41	1	2	yes	—
856	C₂³×D₄	C₂×#41	1	2	yes	—
857	C₂³×D₄	C₂×#41	1	2	yes	—
858	C₂³×D₄	H(5,𝔽₂)	1	4	yes	—
859	C₂³×D₄	H(5,𝔽₂)	1	4	yes	—
860	C₂³×D₄	C₂⁵	1	1	yes	characteristic
861	C₂³×D₄	C₂⁵	1	1	yes	characteristic
862	C₂³×D₄	C₂⁵	1	4	yes	—
863	C₂³×D₄	C₂⁵	1	2	yes	—
864	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
865	C₂⁴×C₄	C₂×#41	1	2	yes	—
866	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
867	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
868	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
869	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
870	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
871	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
872	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
873	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
874	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
875	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
876	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
877	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
878	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
879	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
880	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
881	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
882	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
883	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
884	C₂²×C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
885	C₂²×C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
886	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
887	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
888	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
889	#379	H(5,𝔽₂)	1	16	yes	—
890	C₂⁵	C₂²×#41	1	2	yes	—
891	C₂⁵	C₂²×#41	1	2	yes	—
892	C₂⁵	C₂²×#41	1	1	yes	characteristic
893	C₂⁵	C₂²×#41	1	1	yes	characteristic
894	C₂⁵	C₂²×#41	1	1	yes	characteristic
895	C₂⁵	C₂²×#41	1	1	yes	characteristic
896	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
897	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
898	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
899	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
900	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
901	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
902	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
903	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
904	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
905	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
906	C₂⁵	C₂⁶	1	1	yes	characteristic
907	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
908	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
909	C₂³×C₄	C₂²×#41	1	2	yes	—
910	C₂³×C₄	C₂²×#41	1	2	yes	—
911	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
912	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
913	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
914	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	8	yes	—
915	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	8	yes	—
916	C₂⁴	#3490	1	1	yes	characteristic
917	C₂⁴	#3490	1	2	yes	—
918	C₂⁴	#3490	1	2	yes	—
919	C₂⁴	#3490	1	2	yes	—
920	C₂⁴	#3490	1	2	yes	—
921	C₂⁴	#3490	1	2	yes	—
922	C₂⁴	#3490	1	1	yes	characteristic
923	C₂⁴	#3532	1	8	yes	—
924	C₂⁴	#3532	1	8	yes	—
925	C₂⁴	#3543	1	4	yes	—
926	C₂⁴	#3543	1	4	yes	—
927	C₂⁴	C₂³×#41	1	1	yes	characteristic
928	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
929	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
930	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
931	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
932	C₂⁴	H(7,𝔽₂)	1	4	yes	—
933	C₂³	#46996	1	4	yes	—
934	C₂³	#46996	1	2	yes	—
935	C₂³	#46996	1	2	yes	—
936	C₂³	C₂×#3532	1	4	yes	—
937	C₂³	C₂×#3543	1	2	yes	—
938	C₂³	C₂×#3490	1	1	yes	characteristic
939	C₂³	C₂×#3490	1	1	yes	characteristic
940	C₂³	C₂×#3490	1	1	yes	characteristic
941	C₂³	#62817	1	2	yes	—
942	C₂³	#62862	1	2	yes	—
943	C₂³	#62863	1	2	yes	—
944	C₂³	#62892	1	4	yes	—
945	C₂³	#62892	1	4	yes	—
946	C₂³	#62912	1	4	yes	—
947	C₂³	#62983	1	4	yes	—
948	C₂³	#63011	1	2	yes	—
949	C₂³	#63041	1	2	yes	—
950	C₂²	#7266798	1	4	yes	—
951	C₂²	C₂×#46996	1	1	yes	characteristic
952	C₂²	#7768140	1	2	yes	—
953	C₂²	#7792764	1	2	yes	—
954	C₂²	#7819609	1	2	yes	—
955	C₂²	#8429577	1	4	yes	—
956	C₂²	#8525407	1	4	yes	—
957	C₂	C₂×#7266798	1	2	yes	—
958	C₂	#72258921	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×#46996
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72337179	C₂	semidirect
2. #72337178	C₂	semidirect
3. #72337174	C₂	semidirect
4. #72337171	C₂	semidirect
5. #72335102	C₂	semidirect
6. #72334912	C₂	semidirect
7. #72334909	C₂	semidirect
8. #72334885	C₂	semidirect
9. #72334841	C₂	semidirect
10. #72319343	C₂	semidirect
11. #72309335	C₂	semidirect
12. #72266816	C₂	semidirect
13. #72240433	C₂	semidirect
14. #72240430	C₂	semidirect
15. #72237924	C₂	semidirect
16. #72227421	C₂	semidirect
17. #72225736	C₂	semidirect
18. #72225719	C₂	semidirect
19. #72225697	C₂	semidirect
20. #72225672	C₂	semidirect
21. #72225657	C₂	semidirect
22. #72225630	C₂	semidirect
23. C₂×#417744	C₂	semidirect
24. #72217730	C₂	semidirect
25. #72217617	C₂	semidirect
29. C₂²×#2846	C₂²	semidirect
31. C₂×#32700	C₂²	semidirect
32. C₂×#23984	C₂²	semidirect
33. C₂×#23984	C₂²	semidirect
34. C₂×#23996	C₂²	semidirect
35. #6437621	C₂²	semidirect
37. #6432949	C₂²	semidirect
39. C₂²×#2021	C₂²	semidirect
40. #6379010	C₂²	semidirect
41. #6374128	C₂²	semidirect
43. C₂×#14679	C₂²	semidirect
44. #479829	C₂²	semidirect
45. #479829	C₂²	semidirect
46. #479829	C₂²	semidirect
47. #479756	C₂²	semidirect
48. #479673	C₂²	semidirect
49. #479578	C₂²	semidirect
50. #478457	C₂²	semidirect
51. #478457	C₂²	semidirect
52. #478457	C₂²	semidirect
53. #478457	C₂²	semidirect
54. #478249	C₂²	semidirect
55. #478249	C₂²	semidirect
56. #478249	C₂²	semidirect
57. #471104	C₂²	semidirect
58. #471048	C₂²	semidirect
59. #470999	C₂²	semidirect
60. #470999	C₂²	semidirect
61. #470996	C₂²	semidirect
62. #470996	C₂²	semidirect
63. #470584	C₂²	semidirect
64. #469683	C₂²	semidirect
65. #469683	C₂²	semidirect
66. #469683	C₂²	semidirect
67. #469683	C₂²	semidirect
68. #469678	C₂²	semidirect
69. #469286	C₂²	semidirect
70. #469286	C₂²	semidirect
71. #464740	C₂²	semidirect
72. #461179	C₂²	semidirect
73. #460131	C₂²	semidirect
74. #460131	C₂²	semidirect
75. #460131	C₂²	semidirect
76. #460131	C₂²	semidirect
77. #460096	C₂²	semidirect
78. #454968	C₂²	semidirect
79. #454968	C₂²	semidirect
80. #454968	C₂²	semidirect
81. #453886	C₂²	semidirect
82. #453886	C₂²	semidirect
83. #453825	C₂²	semidirect
84. #449521	C₂²	semidirect
85. #449521	C₂²	semidirect
86. #449521	C₂²	semidirect
87. #449521	C₂²	semidirect
88. #449521	C₂²	semidirect
89. #449475	C₂²	semidirect
90. #449475	C₂²	semidirect
91. #449475	C₂²	semidirect
92. #437718	C₂²	semidirect
93. #437718	C₂²	semidirect
94. #437714	C₂²	semidirect
95. #433540	C₂²	semidirect
96. #432900	C₂²	semidirect
97. #432900	C₂²	semidirect
98. #432891	C₂²	semidirect
99. #429989	C₂²	semidirect
100. #429959	C₂²	semidirect
101. #427387	C₂²	semidirect
102. #427387	C₂²	semidirect
103. #427387	C₂²	semidirect
104. #427387	C₂²	semidirect
105. #427379	C₂²	semidirect
106. #427379	C₂²	semidirect
107. #427374	C₂²	semidirect
108. #427374	C₂²	semidirect
109. #427260	C₂²	semidirect
110. #427239	C₂²	semidirect
111. #423429	C₂²	semidirect
112. #423429	C₂²	semidirect
113. #422795	C₂²	semidirect
114. #422795	C₂²	semidirect
115. #422795	C₂²	semidirect
116. #419823	C₂²	semidirect
117. #419823	C₂²	semidirect
118. #419823	C₂²	semidirect
119. #419812	C₂²	semidirect
120. #419812	C₂²	semidirect
121. #419812	C₂²	semidirect
122. #419459	C₂²	semidirect
123. #419459	C₂²	semidirect
124. #418132	C₂²	semidirect
125. #418132	C₂²	semidirect
126. #417890	C₂²	semidirect
127. #417890	C₂²	semidirect
128. #417824	C₂²	semidirect
129. #417824	C₂²	semidirect
134. #417744	C₂²	semidirect
135. #417744	C₂²	semidirect
136. #417744	C₂²	semidirect
137. #417542	C₂²	semidirect
138. #417538	C₂²	semidirect
139. #417493	C₂²	semidirect
140. #417493	C₂²	semidirect
141. #417493	C₂²	semidirect
142. #417493	C₂²	semidirect
143. #417493	C₂²	semidirect
144. #417493	C₂²	semidirect
145. #417493	C₂²	semidirect
146. #406727	C₂²	semidirect
147. #405606	C₂²	semidirect
149. #405156	C₂²	semidirect
150. #405156	C₂²	semidirect
151. #404015	C₂²	semidirect
152. #404015	C₂²	semidirect
153. #404015	C₂²	semidirect
154. C₂²⋊#2104	C₂²	semidirect
155. C₂²⋊#2104	C₂²	semidirect
156. #401060	C₂²	semidirect
157. #398102	C₂²	semidirect
158. #396094	C₂²	semidirect
159. #396094	C₂²	semidirect
160. #394470	C₂²	semidirect
161. #394470	C₂²	semidirect
162. #394412	C₂²	semidirect
163. #394412	C₂²	semidirect
164. #394273	C₂²	semidirect
165. #394167	C₂²	semidirect
166. #394167	C₂²	semidirect
169. #393532	C₂²	semidirect
170. #392368	C₂²	semidirect
171. #391735	C₂²	semidirect
172. #391709	C₂²	semidirect
173. #391692	C₂²	semidirect
174. #391692	C₂²	semidirect
175. #390995	C₂²	semidirect
176. #390418	C₂²	semidirect
177. #388011	C₂²	semidirect
178. #386017	C₂²	semidirect
179. #386017	C₂²	semidirect
180. #386017	C₂²	semidirect
181. #386017	C₂²	semidirect
182. #386017	C₂²	semidirect
183. #386017	C₂²	semidirect
184. #384256	C₂²	semidirect
185. #384249	C₂²	semidirect
186. #383741	C₂²	semidirect
187. #383741	C₂²	semidirect
188. #382686	C₂²	semidirect
192. #381122	C₂²	semidirect
193. #379806	C₂²	semidirect
195. #379723	C₂²	semidirect
196. #379723	C₂²	semidirect
197. #379723	C₂²	semidirect
198. #379723	C₂²	semidirect
199. #376180	C₂²	semidirect
200. #375666	C₂²	semidirect
201. #374058	C₂²	semidirect
203. #374022	C₂²	semidirect
204. #374022	C₂²	semidirect
205. #374004	C₂²	semidirect
206. #364709	C₂²	semidirect
207. #364440	C₂²	semidirect
210. #364410	C₂²	semidirect
211. #364410	C₂²	semidirect
212. #361312	C₂²	semidirect
213. #359892	C₂²	semidirect
214. #359892	C₂²	semidirect
215. #359799	C₂²	semidirect
216. #359799	C₂²	semidirect
218. #359501	C₂²	semidirect
219. #359501	C₂²	semidirect
220. #359442	C₂²	semidirect
221. #359442	C₂²	semidirect
223. #359428	C₂²	semidirect
225. C₂×#10965	C₂²	semidirect
226. C₂×#10935	C₂²	semidirect
236. C₂×#3026	C₂³	semidirect
239. C₂×#2883	C₂³	semidirect
289. C₂×#2104	C₂³	semidirect
290. C₂×#2104	C₂³	semidirect
291. #23515	C₂³	semidirect
292. #23515	C₂³	semidirect
293. #23515	C₂³	semidirect
294. C₂×#2032	C₂³	semidirect
295. C₂×#2032	C₂³	semidirect
296. C₂×#2032	C₂³	semidirect
297. C₂×#2032	C₂³	semidirect
298. C₂×#2032	C₂³	semidirect
303. #23444	C₂³	semidirect
304. #23444	C₂³	semidirect
305. #23444	C₂³	semidirect
306. #23444	C₂³	semidirect
307. #23444	C₂³	semidirect
332. #21213	C₂³	semidirect
333. C₂×#1913	C₂³	semidirect
334. C₂×#1913	C₂³	semidirect
335. C₂×#1913	C₂³	semidirect
336. C₂×#1913	C₂³	semidirect
337. C₂×#1913	C₂³	semidirect
338. C₂×#1913	C₂³	semidirect
339. C₂×#1913	C₂³	semidirect
340. C₂×#1913	C₂³	semidirect
341. C₂×#1913	C₂³	semidirect
342. C₂×#1913	C₂³	semidirect
343. #20984	C₂³	semidirect
344. #20984	C₂³	semidirect
345. #20984	C₂³	semidirect
346. #20984	C₂³	semidirect
347. #20984	C₂³	semidirect
361. #20960	C₂³	semidirect
378. C₂×#1828	C₂³	semidirect
379. C₂×#1828	C₂³	semidirect
380. C₂×#1828	C₂³	semidirect
381. C₂×#1828	C₂³	semidirect
387. #20633	C₂³	semidirect
388. #20585	C₂³	semidirect
394. #20392	C₂³	semidirect
408. #11394	C₂³	semidirect
409. #11394	C₂³	semidirect
410. #11394	C₂³	semidirect
411. #11351	C₂³	semidirect
412. #11351	C₂³	semidirect
413. #11318	C₂³	semidirect
414. #11318	C₂³	semidirect
415. #11318	C₂³	semidirect
416. #11318	C₂³	semidirect
417. #11318	C₂³	semidirect
418. #11318	C₂³	semidirect
419. #11318	C₂³	semidirect
420. #11318	C₂³	semidirect
421. #11318	C₂³	semidirect
422. #11318	C₂³	semidirect
423. #11318	C₂³	semidirect
424. #11318	C₂³	semidirect
425. #11318	C₂³	semidirect
426. #11318	C₂³	semidirect
427. #11279	C₂³	semidirect
428. #11279	C₂³	semidirect
429. #11279	C₂³	semidirect
430. #11279	C₂³	semidirect
431. #11279	C₂³	semidirect
432. #11279	C₂³	semidirect
433. #11279	C₂³	semidirect
434. #11279	C₂³	semidirect
435. #11279	C₂³	semidirect
436. #11205	C₂³	semidirect
437. #11205	C₂³	semidirect
457. #11172	C₂³	semidirect
458. #11172	C₂³	semidirect
459. #11172	C₂³	semidirect
460. #11172	C₂³	semidirect
461. #11169	C₂³	semidirect
462. #11169	C₂³	semidirect
463. #11169	C₂³	semidirect
464. #11169	C₂³	semidirect
465. #11169	C₂³	semidirect
466. #11166	C₂³	semidirect
467. #11166	C₂³	semidirect
468. #11166	C₂³	semidirect
469. #11166	C₂³	semidirect
470. #11166	C₂³	semidirect
471. #11089	C₂³	semidirect
472. #11089	C₂³	semidirect
473. #11089	C₂³	semidirect
474. #11089	C₂³	semidirect
475. #11089	C₂³	semidirect
476. #11089	C₂³	semidirect
477. #11089	C₂³	semidirect
478. #11089	C₂³	semidirect
479. #11089	C₂³	semidirect
480. #11089	C₂³	semidirect
481. #11089	C₂³	semidirect
482. #11089	C₂³	semidirect
483. #11089	C₂³	semidirect
484. #11089	C₂³	semidirect
485. #11089	C₂³	semidirect
506. #11046	C₂³	semidirect
507. #11046	C₂³	semidirect
536. #10972	C₂³	semidirect
537. #10972	C₂³	semidirect
538. #10972	C₂³	semidirect
539. #10972	C₂³	semidirect
540. #10972	C₂³	semidirect
541. #10972	C₂³	semidirect
542. #10972	C₂³	semidirect
543. #10972	C₂³	semidirect
544. #10972	C₂³	semidirect
545. #10972	C₂³	semidirect
583. #10938	C₂³	semidirect
584. #10938	C₂³	semidirect
585. #10938	C₂³	semidirect
586. #10938	C₂³	semidirect
587. #10938	C₂³	semidirect
598. #10915	C₂³	semidirect
599. #10915	C₂³	semidirect
600. #10915	C₂³	semidirect
601. #10915	C₂³	semidirect
602. #10915	C₂³	semidirect
603. #10829	C₂³	semidirect
604. #10829	C₂³	semidirect
605. #10829	C₂³	semidirect
606. #10829	C₂³	semidirect
607. #10829	C₂³	semidirect
608. #10829	C₂³	semidirect
609. #10768	C₂³	semidirect
610. #10768	C₂³	semidirect
611. #10768	C₂³	semidirect
612. #10768	C₂³	semidirect
613. #10754	C₂³	semidirect
614. #10754	C₂³	semidirect
615. #10754	C₂³	semidirect
616. #10754	C₂³	semidirect
642. C₂⁴×D₄	#41	semidirect
653. C₂²×#120	#41	semidirect
654. C₂²×#120	#41	semidirect
679. C₂³×C₂²⋊C₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#72337179	2
#72337178	2
#72337174	2
#72337171	2
#72335102	2
#72334912	2
#72334909	2
#72334885	2
#72334841	2
#72319343	2
#72309335	2
#72266816	2
#72240433	2
#72240430	2
#72237924	2
#72227421	2
#72225736	2
#72225719	2
#72225697	2
#72225672	2
#72225657	2
#72225630	2
C₂×#417744	2
#72217730	2
#72217617	2