Subgroups — #72341121

Order 2048.

At least 12099 conjugacy classes of subgroups; only the 4044 normal subgroups are shown.

The subgroup lattice has 1427 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72341119	C₂	1	1	yes	maximal, characteristic, complemented
2	#72341117	C₂	1	1	yes	maximal, characteristic, complemented
3	#72341111	C₂	1	1	yes	maximal, characteristic, complemented
4	#72341107	C₂	1	1	yes	maximal, characteristic, complemented
5	#72341100	C₂	1	2	yes	maximal, complemented
6	#72341096	C₂	1	1	yes	maximal, characteristic, complemented
7	#72341088	C₂	1	1	yes	maximal, characteristic, complemented
8	#72341081	C₂	1	4	yes	maximal, complemented
9	#72341077	C₂	1	4	yes	maximal, complemented
10	#72341076	C₂	1	1	yes	maximal, characteristic, complemented
11	#72341075	C₂	1	2	yes	maximal, complemented
12	#72341061	C₂	1	4	yes	maximal, complemented
13	#72341030	C₂	1	1	yes	maximal, characteristic, complemented
14	#72341027	C₂	1	2	yes	maximal, complemented
15	#72341023	C₂	1	4	yes	maximal, complemented
16	#72340970	C₂	1	1	yes	maximal, characteristic, complemented
17	#72340384	C₂	1	2	yes	maximal, complemented
18	#72340349	C₂	1	4	yes	maximal, complemented
19	#72340345	C₂	1	2	yes	maximal, complemented
20	#72340341	C₂	1	4	yes	maximal, complemented
21	#72338901	C₂	1	1	yes	maximal, characteristic, complemented
22	#72311279	C₂	1	2	yes	maximal, complemented
23	#72311103	C₂	1	2	yes	maximal, complemented
24	#72311058	C₂	1	1	yes	maximal, characteristic, complemented
25	#72285852	C₂	1	4	yes	maximal, complemented
26	#72285794	C₂	1	4	yes	maximal, complemented
27	#72284546	C₂	1	1	yes	maximal, characteristic, complemented
28	#72241006	C₂	1	1	yes	maximal, characteristic, complemented
29	#72233065	C₂	1	2	yes	maximal, complemented
30	#72225655	C₂	1	1	yes	maximal, characteristic, complemented
31	#72210439	C₂	1	1	yes	maximal, characteristic, complemented
32	#10586066	C₂²	1	1	yes	characteristic, complemented
33	#8934366	C₂²	1	1	yes	characteristic, complemented
34	#8932958	C₂²	1	2	yes	complemented
35	#8932958	C₂²	1	1	yes	characteristic, complemented
36	#8926668	C₂²	1	1	yes	characteristic, complemented
37	#8926668	C₂²	1	2	yes	complemented
38	#8925011	C₂²	1	2	yes	complemented
39	#8925011	C₂²	1	2	yes	complemented
40	#8925011	C₂²	1	2	yes	complemented
41	#8924809	C₂²	1	1	yes	characteristic, complemented
42	#8924809	C₂²	1	2	yes	complemented
43	#7806639	C₂²	1	2	yes	complemented
44	#7806639	C₂²	1	2	yes	complemented
45	#7806639	C₂²	1	2	yes	complemented
46	#7739587	C₂²	1	1	yes	characteristic
47	#7739587	C₂²	1	2	yes	complemented
48	#7739587	C₂²	1	2	yes	complemented
49	#7739460	C₂²	1	1	yes	characteristic
50	#7739460	C₂²	1	2	yes	complemented
51	#7739460	C₂²	1	2	yes	complemented
52	#7642244	C₂²	1	1	yes	characteristic
53	#7642244	C₂²	1	2	yes	complemented
54	#7642244	C₂²	1	1	yes	characteristic, complemented
55	C₂×#35346	C₂²	1	1	yes	characteristic, complemented
56	#6629402	C₂²	1	2	yes	complemented
57	#6629398	C₂²	1	2	yes	complemented
58	#6629262	C₂²	1	1	yes	characteristic, complemented
59	#6629262	C₂²	1	1	yes	characteristic, complemented
60	#6628902	C₂²	1	1	yes	characteristic, complemented
61	#6628901	C₂²	1	1	yes	characteristic, complemented
62	#6628897	C₂²	1	1	yes	characteristic, complemented
63	#6628896	C₂²	1	1	yes	characteristic
64	#6628896	C₂²	1	1	yes	characteristic, complemented
65	#6628896	C₂²	1	1	yes	characteristic, complemented
66	#6628892	C₂²	1	2	yes	complemented
67	#6628892	C₂²	1	2	yes	complemented
68	#6487660	C₂²	1	4	yes	complemented
69	#6487660	C₂²	1	2	yes	complemented
70	#6487656	C₂²	1	2	yes	complemented
71	#6487656	C₂²	1	4	yes	complemented
72	#6470245	C₂²	1	1	yes	characteristic, complemented
73	#6470245	C₂²	1	2	yes	complemented
74	#6470244	C₂²	1	1	yes	characteristic, complemented
75	#6470244	C₂²	1	2	yes	complemented
76	#6470237	C₂²	1	2	yes	complemented
77	#6470237	C₂²	1	2	yes	complemented
78	#6470237	C₂²	1	4	yes	complemented
79	#6470237	C₂²	1	4	yes	complemented
80	#6470237	C₂²	1	4	yes	complemented
81	#6470232	C₂²	1	2	yes	complemented
82	#6470232	C₂²	1	1	yes	characteristic, complemented
83	#6470231	C₂²	1	4	yes	complemented
84	#6470231	C₂²	1	4	yes	complemented
85	#6470231	C₂²	1	1	yes	characteristic, complemented
86	#6470231	C₂²	1	2	yes	complemented
87	#6470225	C₂²	1	4	yes	complemented
88	#6470225	C₂²	1	4	yes	complemented
89	#6470225	C₂²	1	4	yes	complemented
90	#6432953	C₂²	1	1	yes	characteristic
91	#6432953	C₂²	1	1	yes	characteristic, complemented
92	#6432953	C₂²	1	1	yes	characteristic, complemented
93	#6432953	C₂²	1	1	yes	characteristic, complemented
94	#6385975	C₂²	1	1	yes	characteristic, complemented
95	#6385975	C₂²	1	1	yes	characteristic, complemented
96	#6385975	C₂²	1	2	yes	complemented
97	#6385975	C₂²	1	2	yes	complemented
98	#6374210	C₂²	1	1	yes	characteristic, complemented
99	#6374210	C₂²	1	1	yes	characteristic, complemented
100	#6370693	C₂²	1	1	yes	characteristic, complemented
101	#251931	C₂²	1	4	yes	complemented
102	#251930	C₂²	1	4	yes	complemented
103	#251925	C₂²	1	4	yes	complemented
104	#251923	C₂²	1	4	yes	complemented
105	#251918	C₂²	1	4	yes	complemented
106	#251913	C₂²	1	4	yes	complemented
107	#251913	C₂²	1	4	yes	complemented
108	#251912	C₂²	1	4	yes	complemented
109	#251912	C₂²	1	4	yes	complemented
110	#251911	C₂²	1	4	yes	complemented
111	#251909	C₂²	1	4	yes	complemented
112	#251907	C₂²	1	4	yes	complemented
113	#251900	C₂²	1	4	yes	complemented
114	#251898	C₂²	1	4	yes	complemented
115	#251897	C₂²	1	4	yes	complemented
116	#251894	C₂²	1	4	yes	complemented
117	#251892	C₂²	1	4	yes	complemented
118	#251892	C₂²	1	4	yes	complemented
119	#251885	C₂²	1	4	yes	complemented
120	#251884	C₂²	1	4	yes	complemented
121	#251881	C₂²	1	4	yes	complemented
122	#251878	C₂²	1	4	yes	complemented
123	#251875	C₂²	1	4	yes	complemented
124	#251871	C₂²	1	4	yes	complemented
125	#251867	C₂²	1	2	yes	complemented
126	#251866	C₂²	1	4	yes	complemented
127	#251865	C₂²	1	2	yes	complemented
128	#251865	C₂²	1	2	yes	complemented
129	#251865	C₂²	1	2	yes	complemented
130	#251863	C₂²	1	4	yes	complemented
131	#251863	C₂²	1	4	yes	complemented
132	#251861	C₂²	1	2	yes	complemented
133	#251860	C₂²	1	4	yes	complemented
134	#251860	C₂²	1	4	yes	complemented
135	#251859	C₂²	1	2	yes	complemented
136	#251859	C₂²	1	2	yes	complemented
137	#251859	C₂²	1	2	yes	complemented
138	#251859	C₂²	1	4	yes	complemented
139	#251858	C₂²	1	4	yes	complemented
140	#251854	C₂²	1	4	yes	complemented
141	#251848	C₂²	1	4	yes	complemented
142	#251845	C₂²	1	2	yes	complemented
143	#251844	C₂²	1	4	yes	complemented
144	#251843	C₂²	1	2	yes	complemented
145	#251843	C₂²	1	2	yes	complemented
146	#251843	C₂²	1	2	yes	complemented
147	#251843	C₂²	1	4	yes	complemented
148	#251842	C₂²	1	4	yes	complemented
149	#251839	C₂²	1	2	yes	complemented
150	#251838	C₂²	1	4	yes	complemented
151	#251838	C₂²	1	4	yes	complemented
152	#251837	C₂²	1	2	yes	complemented
153	#251837	C₂²	1	2	yes	complemented
154	#251837	C₂²	1	2	yes	complemented
155	#251831	C₂²	1	4	yes	complemented
156	#251828	C₂²	1	4	yes	complemented
157	#245298	C₂²	1	4	yes	complemented
158	#245293	C₂²	1	4	yes	complemented
159	#245291	C₂²	1	4	yes	complemented
160	#245291	C₂²	1	4	yes	complemented
161	#245290	C₂²	1	4	yes	complemented
162	#245283	C₂²	1	4	yes	complemented
163	#245283	C₂²	1	4	yes	complemented
164	#245282	C₂²	1	4	yes	complemented
165	#245282	C₂²	1	4	yes	complemented
166	#245282	C₂²	1	4	yes	complemented
167	#245281	C₂²	1	4	yes	complemented
168	#245281	C₂²	1	4	yes	complemented
169	#245279	C₂²	1	4	yes	complemented
170	#245279	C₂²	1	4	yes	complemented
171	#245272	C₂²	1	4	yes	complemented
172	#245272	C₂²	1	4	yes	complemented
173	#245270	C₂²	1	4	yes	complemented
174	#245270	C₂²	1	4	yes	complemented
175	#245258	C₂²	1	2	yes	complemented
176	#245258	C₂²	1	2	yes	complemented
177	#245258	C₂²	1	4	yes	complemented
178	#245256	C₂²	1	4	yes	complemented
179	#245256	C₂²	1	4	yes	complemented
180	#245255	C₂²	1	4	yes	complemented
181	#245255	C₂²	1	4	yes	complemented
182	#245247	C₂²	1	4	yes	complemented
183	#245247	C₂²	1	4	yes	complemented
184	#245246	C₂²	1	2	yes	complemented
185	#245246	C₂²	1	2	yes	complemented
186	#245246	C₂²	1	2	yes	complemented
187	#245246	C₂²	1	2	yes	complemented
188	#245246	C₂²	1	2	yes	complemented
189	#245246	C₂²	1	2	yes	complemented
190	#245246	C₂²	1	4	yes	complemented
191	#245246	C₂²	1	4	yes	complemented
192	#245246	C₂²	1	4	yes	complemented
193	#245246	C₂²	1	4	yes	complemented
194	#245246	C₂²	1	4	yes	complemented
195	#245245	C₂²	1	4	yes	complemented
196	#245243	C₂²	1	4	yes	complemented
197	#245236	C₂²	1	2	yes	complemented
198	#245235	C₂²	1	4	yes	complemented
199	#245235	C₂²	1	4	yes	complemented
200	#245233	C₂²	1	4	yes	complemented
201	#245227	C₂²	1	4	yes	complemented
202	#245227	C₂²	1	4	yes	complemented
203	#245226	C₂²	1	2	yes	complemented
204	#245226	C₂²	1	2	yes	complemented
205	#245226	C₂²	1	2	yes	complemented
206	#245226	C₂²	1	2	yes	complemented
207	#245226	C₂²	1	4	yes	complemented
208	#245225	C₂²	1	2	yes	—
209	#245225	C₂²	1	2	yes	complemented
210	#245225	C₂²	1	2	yes	complemented
211	#245225	C₂²	1	4	yes	complemented
212	#245225	C₂²	1	4	yes	complemented
213	#238078	C₂²	1	4	yes	complemented
214	C₂×#10392	C₂²	1	4	yes	complemented
215	#233559	C₂²	1	4	yes	complemented
216	#233549	C₂²	1	4	yes	complemented
217	#233549	C₂²	1	4	yes	complemented
218	#233549	C₂²	1	4	yes	complemented
219	#233541	C₂²	1	4	yes	complemented
220	#233541	C₂²	1	4	yes	complemented
221	#213883	C₂²	1	4	yes	complemented
222	#213882	C₂²	1	4	yes	complemented
223	#213881	C₂²	1	2	yes	complemented
224	#213880	C₂²	1	2	yes	complemented
225	#213877	C₂²	1	2	yes	complemented
226	#213876	C₂²	1	4	yes	complemented
227	#213876	C₂²	1	4	yes	complemented
228	#213876	C₂²	1	2	yes	complemented
229	#213874	C₂²	1	2	yes	complemented
230	#213872	C₂²	1	2	yes	complemented
231	#213862	C₂²	1	1	yes	characteristic, complemented
232	#213860	C₂²	1	1	yes	characteristic, complemented
233	#213858	C₂²	1	2	yes	complemented
234	#213855	C₂²	1	1	yes	characteristic, complemented
235	#213854	C₂²	1	1	yes	characteristic, complemented
236	#213854	C₂²	1	1	yes	characteristic, complemented
237	#213854	C₂²	1	1	yes	characteristic, complemented
238	#213846	C₂²	1	2	yes	complemented
239	#213844	C₂²	1	2	yes	complemented
240	#213839	C₂²	1	1	yes	characteristic, complemented
241	#213838	C₂²	1	1	yes	characteristic, complemented
242	#213833	C₂²	1	2	yes	complemented
243	#213830	C₂²	1	1	yes	characteristic, complemented
244	#213829	C₂²	1	1	yes	characteristic, complemented
245	#213828	C₂²	1	1	yes	characteristic, complemented
246	#213828	C₂²	1	1	yes	characteristic, complemented
247	#201717	C₂²	1	4	yes	complemented
248	#201717	C₂²	1	4	yes	complemented
249	#201717	C₂²	1	4	yes	complemented
250	#201717	C₂²	1	4	yes	complemented
251	#201701	C₂²	1	2	yes	complemented
252	#201701	C₂²	1	2	yes	complemented
253	#201701	C₂²	1	4	yes	complemented
254	#201687	C₂²	1	2	yes	complemented
255	#201687	C₂²	1	2	yes	complemented
256	#201678	C₂²	1	4	yes	complemented
257	#201678	C₂²	1	4	yes	complemented
258	#201678	C₂²	1	4	yes	complemented
259	#201678	C₂²	1	4	yes	complemented
260	#201664	C₂²	1	4	yes	complemented
261	#190124	C₂²	1	2	yes	complemented
262	#190124	C₂²	1	2	yes	complemented
263	#190107	C₂²	1	2	yes	complemented
264	#188064	C₂²	1	2	yes	complemented
265	#188062	C₂²	1	2	yes	complemented
266	C₂×#8541	C₂²	1	2	yes	complemented
267	C₂×H(7,𝔽₂)	C₂³	1	1	yes	characteristic
268	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
269	#62842	C₂³	1	1	yes	characteristic
270	#62842	C₂³	1	1	yes	characteristic
271	#62842	C₂³	1	2	yes	—
272	#62842	C₂³	1	2	yes	—
273	C₂×#3484	C₂³	1	2	yes	—
274	C₂×#3484	C₂³	1	2	yes	—
275	C₂×#3484	C₂³	1	1	yes	characteristic
276	C₂×#3484	C₂³	1	1	yes	characteristic
277	C₂×#3484	C₂³	1	2	yes	complemented
278	C₂²×H(3,𝔽₄)	C₂³	1	1	yes	characteristic
279	C₂²×#560	C₂³	1	1	yes	characteristic
280	C₂³×#120	C₂³	1	1	yes	characteristic
281	#62652	C₂³	1	1	yes	characteristic
282	#46997	C₂³	1	2	yes	—
283	#46997	C₂³	1	2	yes	complemented
284	#46997	C₂³	1	2	yes	complemented
285	#46997	C₂³	1	2	yes	complemented
286	#46997	C₂³	1	2	yes	complemented
287	#46997	C₂³	1	2	yes	complemented
288	#46390	C₂³	1	2	yes	complemented
289	#46390	C₂³	1	2	yes	complemented
290	#46390	C₂³	1	2	yes	complemented
291	#46389	C₂³	1	2	yes	complemented
292	#46389	C₂³	1	2	yes	complemented
293	#46389	C₂³	1	2	yes	complemented
294	#46388	C₂³	1	2	yes	—
295	#46388	C₂³	1	2	yes	complemented
296	#46388	C₂³	1	2	yes	complemented
297	#46387	C₂³	1	2	yes	complemented
298	#46387	C₂³	1	2	yes	complemented
299	#46387	C₂³	1	2	yes	complemented
300	#46386	C₂³	1	2	yes	—
301	#46386	C₂³	1	2	yes	complemented
302	#46386	C₂³	1	2	yes	complemented
303	#46384	C₂³	1	2	yes	—
304	#46384	C₂³	1	2	yes	complemented
305	#46384	C₂³	1	2	yes	complemented
306	#39333	D₄	1	4	yes	complemented
307	#39332	D₄	1	4	yes	complemented
308	#38906	D₄	1	4	yes	complemented
309	#38904	D₄	1	4	yes	complemented
310	#38030	D₄	1	4	yes	complemented
311	#38028	D₄	1	4	yes	complemented
312	#37646	D₄	1	4	yes	complemented
313	#37644	D₄	1	4	yes	complemented
314	#37436	C₂³	1	4	yes	—
315	#37436	C₂³	1	4	yes	—
316	#37436	C₂³	1	2	yes	—
317	#37436	C₂³	1	2	yes	—
318	#37436	C₂³	1	2	yes	complemented
319	#37232	C₂³	1	1	yes	characteristic
320	#37232	C₂³	1	2	yes	complemented
321	#37232	C₂³	1	2	yes	complemented
322	#37119	C₂³	1	1	yes	characteristic
323	#37119	C₂³	1	2	yes	complemented
324	#37119	C₂³	1	2	yes	complemented
325	#36967	C₂³	1	2	yes	—
326	#36967	C₂³	1	2	yes	complemented
327	#36967	C₂³	1	2	yes	complemented
328	#36967	C₂³	1	4	yes	complemented
329	#36965	C₂³	1	1	yes	characteristic
330	#36965	C₂³	1	2	yes	complemented
331	#36965	C₂³	1	2	yes	complemented
332	#36721	C₂³	1	2	yes	—
333	#36721	C₂³	1	2	yes	complemented
334	#36721	C₂³	1	2	yes	complemented
335	#36721	C₂³	1	4	yes	complemented
336	#36714	C₂³	1	2	yes	—
337	#36714	C₂³	1	2	yes	—
338	#36714	C₂³	1	4	yes	—
339	#36714	C₂³	1	2	yes	—
340	#36714	C₂³	1	2	yes	—
341	#36714	C₂³	1	1	yes	characteristic
342	#36714	C₂³	1	2	yes	complemented
343	#36714	C₂³	1	2	yes	complemented
344	#36714	C₂³	1	2	yes	complemented
345	#36714	C₂³	1	2	yes	complemented
346	#36702	D₄	1	4	yes	complemented
347	C₂×#2842	C₂³	1	2	yes	complemented
348	C₂×#2846	D₄	1	2	yes	complemented
349	#35616	C₂³	1	1	yes	characteristic
350	#35616	C₂³	1	2	yes	complemented
351	#35616	C₂³	1	2	yes	complemented
352	#35527	C₂³	1	1	yes	characteristic
353	#35527	C₂³	1	2	yes	complemented
354	#35527	C₂³	1	2	yes	complemented
355	#35451	C₂³	1	2	yes	—
356	#35451	C₂³	1	2	yes	complemented
357	#35451	C₂³	1	2	yes	complemented
358	#35451	C₂³	1	4	yes	complemented
359	#35446	C₂³	1	1	yes	characteristic
360	#35446	C₂³	1	2	yes	complemented
361	#35446	C₂³	1	2	yes	complemented
362	#35354	C₂³	1	2	yes	—
363	#35354	C₂³	1	2	yes	complemented
364	#35354	C₂³	1	2	yes	complemented
365	#35354	C₂³	1	4	yes	complemented
366	#35350	C₂³	1	2	yes	—
367	#35350	C₂³	1	1	yes	characteristic
368	#35350	C₂³	1	1	yes	characteristic
369	#35350	C₂³	1	1	yes	characteristic
370	#35350	C₂³	1	1	yes	characteristic
371	#35350	C₂³	1	2	yes	complemented
372	#35348	D₄	1	2	yes	complemented
373	#35348	D₄	1	2	yes	complemented
374	#35346	C₂³	1	2	yes	—
375	#35346	C₂³	1	1	yes	characteristic
376	#35346	C₂³	1	1	yes	characteristic
377	#35346	C₂³	1	1	yes	characteristic
378	#35346	C₂³	1	1	yes	characteristic
379	#35346	C₂³	1	4	yes	—
380	#35346	C₂³	1	1	yes	characteristic
381	#35346	C₂³	1	1	yes	characteristic
382	#35346	C₂³	1	1	yes	characteristic
383	#35346	C₂³	1	1	yes	characteristic
384	#35346	C₂³	1	1	yes	characteristic
385	#35346	C₂³	1	2	yes	complemented
386	#35346	C₂³	1	2	yes	complemented
387	#35346	C₂³	1	2	yes	complemented
388	#35050	D₄	1	4	yes	complemented
389	#34992	D₄	1	2	yes	complemented
390	#34980	C₂³	1	4	yes	—
391	#34980	C₂³	1	4	yes	—
392	#34980	C₂³	1	4	yes	—
393	#34980	C₂³	1	2	yes	—
394	#34980	C₂³	1	2	yes	—
395	#34980	C₂³	1	2	yes	—
396	#34980	C₂³	1	2	yes	—
397	#34980	C₂³	1	2	yes	complemented
398	#34980	C₂³	1	2	yes	complemented
399	C₂×#2403	C₂³	1	4	yes	—
400	#34356	C₂³	1	1	yes	characteristic
401	#34356	C₂³	1	1	yes	characteristic
402	#34356	C₂³	1	2	yes	—
403	#34356	C₂³	1	2	yes	—
404	#34356	C₂³	1	2	yes	complemented
405	#34356	C₂³	1	2	yes	complemented
406	#34171	C₂³	1	1	yes	characteristic
407	#34171	C₂³	1	1	yes	characteristic
408	#34171	C₂³	1	2	yes	complemented
409	C₂×#2308	C₂³	1	1	yes	characteristic
410	#33022	C₂³	1	2	yes	—
411	#33022	C₂³	1	2	yes	—
412	#33022	C₂³	1	4	yes	complemented
413	#33022	C₂³	1	4	yes	complemented
414	#33022	C₂³	1	4	yes	complemented
415	#33020	C₂³	1	2	yes	—
416	#33020	C₂³	1	2	yes	—
417	#33020	C₂³	1	4	yes	—
418	#33020	C₂³	1	4	yes	—
419	#33020	C₂³	1	4	yes	—
420	#33020	C₂³	1	4	yes	—
421	#33020	C₂³	1	4	yes	—
422	#33020	C₂³	1	4	yes	complemented
423	#33020	C₂³	1	4	yes	complemented
424	#33020	C₂³	1	4	yes	complemented
425	#33020	C₂³	1	4	yes	complemented
426	#32900	C₂³	1	2	yes	—
427	#32900	C₂³	1	2	yes	—
428	#32900	C₂³	1	4	yes	—
429	#32900	C₂³	1	2	yes	—
430	#32900	C₂³	1	2	yes	—
431	#32900	C₂³	1	4	yes	—
432	#32900	C₂³	1	2	yes	—
433	#32900	C₂³	1	2	yes	—
434	#32900	C₂³	1	4	yes	complemented
435	#32900	C₂³	1	4	yes	complemented
436	#32900	C₂³	1	4	yes	complemented
437	#32898	C₂³	1	4	yes	—
438	#32898	C₂³	1	4	yes	—
439	#32898	C₂³	1	2	yes	—
440	#32898	C₂³	1	2	yes	—
441	#32898	C₂³	1	4	yes	—
442	#32898	C₂³	1	2	yes	—
443	#32898	C₂³	1	2	yes	—
444	#32898	C₂³	1	4	yes	—
445	#32898	C₂³	1	4	yes	—
446	#32898	C₂³	1	4	yes	—
447	#32898	C₂³	1	2	yes	—
448	#32898	C₂³	1	2	yes	—
449	#32898	C₂³	1	4	yes	—
450	#32898	C₂³	1	4	yes	complemented
451	#32898	C₂³	1	4	yes	complemented
452	#32898	C₂³	1	4	yes	complemented
453	#32898	C₂³	1	4	yes	complemented
454	#29635	C₂³	1	4	yes	—
455	#29635	C₂³	1	4	yes	—
456	#29635	C₂³	1	4	yes	complemented
457	#29635	C₂³	1	4	yes	complemented
458	#29635	C₂³	1	4	yes	complemented
459	#29635	C₂³	1	4	yes	complemented
460	#29635	C₂³	1	4	yes	complemented
461	#29635	C₂³	1	4	yes	complemented
462	#29634	C₂³	1	4	yes	—
463	#29634	C₂³	1	4	yes	—
464	#29634	C₂³	1	4	yes	—
465	#29634	C₂³	1	4	yes	—
466	#29634	C₂³	1	4	yes	—
467	#29634	C₂³	1	4	yes	—
468	#29634	C₂³	1	4	yes	—
469	#29634	C₂³	1	4	yes	—
470	#29634	C₂³	1	4	yes	—
471	#29634	C₂³	1	4	yes	—
472	#29634	C₂³	1	4	yes	—
473	#29634	C₂³	1	4	yes	—
474	#29634	C₂³	1	4	yes	complemented
475	#29634	C₂³	1	4	yes	complemented
476	#29634	C₂³	1	4	yes	complemented
477	#29634	C₂³	1	4	yes	complemented
478	#29634	C₂³	1	4	yes	complemented
479	#29634	C₂³	1	4	yes	complemented
480	#29634	C₂³	1	4	yes	complemented
481	#29634	C₂³	1	4	yes	complemented
482	#21795	C₂³	1	2	yes	—
483	#21795	C₂³	1	2	yes	—
484	#21795	C₂³	1	4	yes	complemented
485	#21795	C₂³	1	4	yes	complemented
486	#21749	C₂³	1	4	yes	—
487	#21749	C₂³	1	2	yes	—
488	#21749	C₂³	1	2	yes	—
489	#21749	C₂³	1	2	yes	—
490	#21749	C₂³	1	2	yes	—
491	#21749	C₂³	1	2	yes	complemented
492	#21749	C₂³	1	2	yes	complemented
493	#21749	C₂³	1	2	yes	complemented
494	#21749	C₂³	1	2	yes	complemented
495	#21746	C₂³	1	4	yes	—
496	#21746	C₂³	1	4	yes	—
497	#21746	C₂³	1	2	yes	—
498	#21746	C₂³	1	2	yes	—
499	#21746	C₂³	1	4	yes	—
500	#21746	C₂³	1	2	yes	—
501	#21746	C₂³	1	2	yes	—
502	#21746	C₂³	1	4	yes	complemented
503	#21746	C₂³	1	4	yes	complemented
504	#21746	C₂³	1	4	yes	complemented
505	#21746	C₂³	1	4	yes	complemented
506	#20724	C₂³	1	2	yes	—
507	#20724	C₂³	1	2	yes	—
508	#20724	C₂³	1	4	yes	complemented
509	#20724	C₂³	1	4	yes	complemented
510	#20689	C₂³	1	1	yes	characteristic
511	#20689	C₂³	1	1	yes	characteristic
512	#20689	C₂³	1	1	yes	characteristic
513	#20689	C₂³	1	1	yes	characteristic
514	#20586	C₂³	1	1	yes	characteristic
515	#20586	C₂³	1	1	yes	characteristic
516	#20586	C₂³	1	4	yes	—
517	#20586	C₂³	1	2	yes	complemented
518	#20586	C₂³	1	2	yes	complemented
519	#20585	C₂³	1	1	yes	characteristic
520	#20585	C₂³	1	1	yes	characteristic
521	#20585	C₂³	1	1	yes	characteristic
522	#20585	C₂³	1	1	yes	characteristic
523	#20585	C₂³	1	1	yes	characteristic
524	#20585	C₂³	1	1	yes	characteristic
525	#20585	C₂³	1	1	yes	characteristic
526	#20585	C₂³	1	1	yes	characteristic
527	#20585	C₂³	1	1	yes	characteristic
528	#20585	C₂³	1	1	yes	characteristic
529	#20585	C₂³	1	2	yes	complemented
530	#20585	C₂³	1	2	yes	complemented
531	C₂×#1781	C₂³	1	4	yes	—
532	C₂×#1781	C₂³	1	4	yes	—
533	C₂×#1781	C₂³	1	2	yes	—
534	C₂×#1781	C₂³	1	2	yes	—
535	C₂×#1781	C₂³	1	4	yes	—
536	C₂×#1781	C₂³	1	4	yes	complemented
537	C₂×#1781	C₂³	1	4	yes	complemented
538	#10393	C₂³	1	4	yes	complemented
539	#10393	C₂³	1	4	yes	complemented
540	#10393	C₂³	1	4	yes	complemented
541	#10393	C₂³	1	4	yes	complemented
542	#10392	C₂³	1	4	yes	complemented
543	#10392	C₂³	1	4	yes	complemented
544	#10392	C₂³	1	4	yes	complemented
545	#10392	C₂³	1	4	yes	complemented
546	#10392	C₂³	1	4	yes	complemented
547	#10392	C₂³	1	4	yes	complemented
548	#10392	C₂³	1	4	yes	complemented
549	#10392	C₂³	1	4	yes	complemented
550	#10392	C₂³	1	4	yes	complemented
551	#10392	C₂³	1	4	yes	complemented
552	#10392	C₂³	1	4	yes	complemented
553	#10392	C₂³	1	4	yes	complemented
554	#10339	C₂³	1	4	yes	complemented
555	#10338	C₂³	1	4	yes	complemented
556	#10338	C₂³	1	4	yes	complemented
557	#10338	C₂³	1	4	yes	complemented
558	#10338	C₂³	1	4	yes	complemented
559	#10338	C₂³	1	4	yes	complemented
560	#10338	C₂³	1	4	yes	complemented
561	#10338	C₂³	1	4	yes	complemented
562	#10338	C₂³	1	4	yes	complemented
563	#10338	C₂³	1	4	yes	complemented
564	#10337	C₂³	1	4	yes	—
565	#10337	C₂³	1	4	yes	—
566	#10337	C₂³	1	4	yes	—
567	#10337	C₂³	1	4	yes	—
568	#10337	C₂³	1	4	yes	complemented
569	#10337	C₂³	1	4	yes	complemented
570	#10337	C₂³	1	4	yes	complemented
571	#10337	C₂³	1	4	yes	complemented
572	#10337	C₂³	1	4	yes	complemented
573	#10337	C₂³	1	4	yes	complemented
574	#10337	C₂³	1	4	yes	complemented
575	#10337	C₂³	1	4	yes	complemented
576	#10337	C₂³	1	4	yes	complemented
577	#10337	C₂³	1	4	yes	complemented
578	#10337	C₂³	1	4	yes	complemented
579	#10337	C₂³	1	4	yes	complemented
580	#10337	C₂³	1	4	yes	complemented
581	#10337	C₂³	1	4	yes	complemented
582	#10337	C₂³	1	4	yes	complemented
583	#10337	C₂³	1	4	yes	complemented
584	#10337	C₂³	1	4	yes	complemented
585	#10337	C₂³	1	4	yes	complemented
586	#10337	C₂³	1	4	yes	complemented
587	#10336	C₂³	1	4	yes	—
588	#10336	C₂³	1	4	yes	—
589	#10336	C₂³	1	4	yes	—
590	#10336	C₂³	1	4	yes	—
591	#10336	C₂³	1	4	yes	complemented
592	#10336	C₂³	1	4	yes	complemented
593	#10336	C₂³	1	4	yes	complemented
594	#10336	C₂³	1	4	yes	complemented
595	#10336	C₂³	1	4	yes	complemented
596	#10336	C₂³	1	4	yes	complemented
597	#10336	C₂³	1	4	yes	complemented
598	#10336	C₂³	1	4	yes	complemented
599	#10336	C₂³	1	4	yes	complemented
600	#10336	C₂³	1	4	yes	complemented
601	#10336	C₂³	1	4	yes	complemented
602	#9502	C₂³	1	4	yes	complemented
603	#9502	C₂³	1	4	yes	complemented
604	#9502	C₂³	1	4	yes	complemented
605	#9502	C₂³	1	4	yes	complemented
606	#9501	C₂³	1	4	yes	complemented
607	#9501	C₂³	1	4	yes	complemented
608	#9501	C₂³	1	4	yes	complemented
609	#9501	C₂³	1	4	yes	complemented
610	#9501	C₂³	1	4	yes	complemented
611	#9501	C₂³	1	4	yes	complemented
612	#9501	C₂³	1	4	yes	complemented
613	#9501	C₂³	1	4	yes	complemented
614	#9500	C₂³	1	4	yes	complemented
615	#9500	C₂³	1	4	yes	complemented
616	#9500	C₂³	1	4	yes	complemented
617	#9500	C₂³	1	4	yes	complemented
618	#9499	C₂³	1	2	yes	—
619	#9499	C₂³	1	2	yes	—
620	#9499	C₂³	1	2	yes	—
621	#9499	C₂³	1	2	yes	—
622	#9499	C₂³	1	2	yes	—
623	#9499	C₂³	1	2	yes	—
624	#9499	C₂³	1	2	yes	—
625	#9499	C₂³	1	2	yes	—
626	#9499	C₂³	1	4	yes	complemented
627	#9499	C₂³	1	4	yes	complemented
628	#9499	C₂³	1	4	yes	complemented
629	#9499	C₂³	1	4	yes	complemented
630	#9499	C₂³	1	4	yes	complemented
631	#9499	C₂³	1	4	yes	complemented
632	#9499	C₂³	1	4	yes	complemented
633	#9499	C₂³	1	4	yes	complemented
634	#9498	C₂³	1	4	yes	complemented
635	#9498	C₂³	1	4	yes	complemented
636	#9498	C₂³	1	4	yes	complemented
637	#9498	C₂³	1	4	yes	complemented
638	#9498	C₂³	1	4	yes	complemented
639	#9498	C₂³	1	4	yes	complemented
640	#9498	C₂³	1	4	yes	complemented
641	#9498	C₂³	1	4	yes	complemented
642	#9498	C₂³	1	4	yes	complemented
643	#9498	C₂³	1	4	yes	complemented
644	#9498	C₂³	1	4	yes	complemented
645	#9498	C₂³	1	4	yes	complemented
646	#9497	C₂³	1	4	yes	—
647	#9497	C₂³	1	4	yes	—
648	#9497	C₂³	1	4	yes	complemented
649	#9497	C₂³	1	4	yes	complemented
650	#9497	C₂³	1	4	yes	complemented
651	#9497	C₂³	1	4	yes	complemented
652	#9497	C₂³	1	4	yes	complemented
653	#9497	C₂³	1	4	yes	complemented
654	#9497	C₂³	1	4	yes	complemented
655	#9497	C₂³	1	4	yes	complemented
656	#9497	C₂³	1	4	yes	complemented
657	#9497	C₂³	1	4	yes	complemented
658	#9497	C₂³	1	4	yes	complemented
659	#9497	C₂³	1	4	yes	complemented
660	#9497	C₂³	1	4	yes	complemented
661	#9497	C₂³	1	4	yes	complemented
662	#9497	C₂³	1	4	yes	complemented
663	#9497	C₂³	1	4	yes	complemented
664	#9497	C₂³	1	4	yes	complemented
665	#9497	C₂³	1	4	yes	complemented
666	#9496	C₂³	1	4	yes	complemented
667	#9496	C₂³	1	4	yes	complemented
668	#9496	C₂³	1	4	yes	complemented
669	#9496	C₂³	1	4	yes	complemented
670	#9496	C₂³	1	4	yes	complemented
671	#9496	C₂³	1	4	yes	complemented
672	#9496	C₂³	1	4	yes	complemented
673	#9496	C₂³	1	4	yes	complemented
674	#9496	C₂³	1	4	yes	complemented
675	#9496	C₂³	1	4	yes	complemented
676	#9496	C₂³	1	4	yes	complemented
677	#9496	C₂³	1	4	yes	complemented
678	#9495	C₂³	1	2	yes	—
679	#9495	C₂³	1	2	yes	—
680	#9495	C₂³	1	2	yes	—
681	#9495	C₂³	1	2	yes	—
682	#9495	C₂³	1	2	yes	—
683	#9495	C₂³	1	2	yes	—
684	#9495	C₂³	1	2	yes	—
685	#9495	C₂³	1	2	yes	—
686	#9495	C₂³	1	4	yes	—
687	#9495	C₂³	1	4	yes	—
688	#9495	C₂³	1	4	yes	complemented
689	#9495	C₂³	1	4	yes	complemented
690	#9495	C₂³	1	4	yes	complemented
691	#9495	C₂³	1	4	yes	complemented
692	#9495	C₂³	1	4	yes	complemented
693	#9495	C₂³	1	4	yes	complemented
694	#9495	C₂³	1	4	yes	complemented
695	#9495	C₂³	1	4	yes	complemented
696	#9495	C₂³	1	4	yes	complemented
697	#9495	C₂³	1	4	yes	complemented
698	#9495	C₂³	1	4	yes	complemented
699	#9495	C₂³	1	4	yes	complemented
700	#9495	C₂³	1	4	yes	complemented
701	#9495	C₂³	1	4	yes	complemented
702	#9495	C₂³	1	4	yes	complemented
703	#9495	C₂³	1	4	yes	complemented
704	#9495	C₂³	1	4	yes	complemented
705	#9495	C₂³	1	4	yes	complemented
706	#8750	C₂³	1	4	yes	complemented
707	#8750	C₂³	1	4	yes	complemented
708	#8750	C₂³	1	4	yes	complemented
709	#8750	C₂³	1	4	yes	complemented
710	#8749	C₂³	1	2	yes	complemented
711	#8749	C₂³	1	2	yes	complemented
712	#8749	C₂³	1	4	yes	complemented
713	#8748	C₂³	1	2	yes	complemented
714	#8748	C₂³	1	4	yes	complemented
715	#8748	C₂³	1	2	yes	complemented
716	#8747	C₂³	1	2	yes	—
717	#8747	C₂³	1	2	yes	—
718	#8747	C₂³	1	2	yes	complemented
719	#8747	C₂³	1	2	yes	complemented
720	#8746	C₂³	1	2	yes	—
721	#8746	C₂³	1	2	yes	—
722	#8746	C₂³	1	2	yes	complemented
723	#8746	C₂³	1	2	yes	complemented
724	#8546	C₂³	1	2	yes	complemented
725	#8546	C₂³	1	2	yes	complemented
726	#8544	C₂³	1	2	yes	complemented
727	#8544	C₂³	1	4	yes	complemented
728	#8544	C₂³	1	2	yes	complemented
729	#8544	C₂³	1	4	yes	complemented
730	#8543	C₂³	1	4	yes	complemented
731	#8543	C₂³	1	2	yes	complemented
732	#8543	C₂³	1	2	yes	complemented
733	#8543	C₂³	1	4	yes	complemented
734	#8541	C₂³	1	2	yes	—
735	#8541	C₂³	1	2	yes	—
736	#8541	C₂³	1	2	yes	—
737	#8541	C₂³	1	2	yes	—
738	#8541	C₂³	1	4	yes	complemented
739	#8541	C₂³	1	2	yes	complemented
740	#8541	C₂³	1	4	yes	complemented
741	#8541	C₂³	1	2	yes	complemented
742	#8101	C₂³	1	4	yes	complemented
743	#8101	C₂³	1	4	yes	complemented
744	#8101	C₂³	1	4	yes	complemented
745	C₂×#1304	C₂³	1	4	yes	complemented
746	C₂×#1304	C₂³	1	4	yes	complemented
747	C₂×#1304	C₂³	1	4	yes	complemented
748	C₂⁷	C₂×D₄	1	1	yes	characteristic, complemented
749	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
750	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
751	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
752	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
753	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
754	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
755	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
756	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
757	C₂⁴×D₄	C₂⁴	1	2	yes	—
758	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
759	C₂⁴×D₄	C₂⁴	1	2	yes	—
760	C₂×#546	C₂×D₄	1	4	yes	—
761	C₂×#546	C₂×D₄	1	4	yes	—
762	C₂×D₄²	C₂×D₄	1	4	yes	—
763	C₂×D₄²	C₂×D₄	1	4	yes	—
764	C₂×#536	C₂×D₄	1	2	yes	complemented
765	C₂×#535	C₂×D₄	1	2	yes	—
766	C₂×#535	C₂×D₄	1	2	yes	complemented
767	C₂×#534	C₂×D₄	1	4	yes	—
768	C₂×#534	C₂×D₄	1	2	yes	—
769	C₂×#534	C₂×D₄	1	4	yes	complemented
770	C₂×#534	C₂⁴	1	2	yes	—
771	C₂×#534	C₂⁴	1	2	yes	—
772	C₂×#534	C₂⁴	1	2	yes	—
773	C₂×#534	C₂⁴	1	2	yes	—
774	C₂×#534	C₂⁴	1	2	yes	—
775	C₂×#534	C₂⁴	1	2	yes	—
776	C₂×#534	C₂⁴	1	2	yes	—
777	C₂×#534	C₂⁴	1	1	yes	characteristic
778	C₂×#534	C₂⁴	1	1	yes	characteristic
779	C₂²×#127	C₂⁴	1	1	yes	characteristic
780	C₂²×#126	C₂×D₄	1	2	yes	complemented
781	C₂²×#124	C₂×D₄	1	2	yes	complemented
782	C₂²×#124	C₂×D₄	1	2	yes	complemented
783	C₂²×#124	C₂×D₄	1	2	yes	complemented
784	C₂²×#124	C₂⁴	1	1	yes	characteristic
785	C₂²×#124	C₂⁴	1	2	yes	—
786	C₂×#525	C₂×D₄	1	2	yes	—
787	C₂²×#123	C₂×D₄	1	2	yes	complemented
788	C₂²×#123	C₂⁴	1	2	yes	—
789	C₂²×#123	C₂⁴	1	1	yes	characteristic
790	C₂²×#121	C₂×D₄	1	2	yes	complemented
791	C₂²×#121	C₂×D₄	1	2	yes	complemented
792	C₂²×#121	C₂×D₄	1	2	yes	complemented
793	C₂²×#120	C₂×D₄	1	2	yes	—
794	C₂²×#120	C₂×D₄	1	2	yes	—
795	C₂²×#120	C₂×D₄	1	2	yes	—
796	C₂²×#120	C₂×D₄	1	2	yes	complemented
797	C₂²×#120	C₂×D₄	1	1	yes	characteristic, complemented
798	C₂²×#120	C₂×D₄	1	1	yes	characteristic, complemented
799	C₂²×#120	C₂×D₄	1	2	yes	complemented
800	C₂²×#120	C₂×D₄	1	2	yes	complemented
801	C₂²×#120	C₂⁴	1	1	yes	characteristic
802	C₂²×#120	C₂⁴	1	1	yes	characteristic
803	C₂²×#120	C₂⁴	1	2	yes	—
804	C₂²×#120	C₂⁴	1	2	yes	—
805	C₂²×#120	C₂⁴	1	2	yes	—
806	C₂²×#120	C₂⁴	1	1	yes	characteristic
807	C₂²×#120	C₂⁴	1	1	yes	characteristic
808	C₂²×#120	C₂⁴	1	1	yes	characteristic
809	C₂²×#120	C₂⁴	1	2	yes	—
810	C₂×#518	C₂×D₄	1	2	yes	complemented
811	C₂×#518	C₂⁴	1	1	yes	characteristic
812	C₂×#518	C₂⁴	1	2	yes	—
813	C₂×#518	C₂⁴	1	2	yes	—
814	C₂×#518	C₂⁴	1	2	yes	—
815	C₂×#518	C₂⁴	1	1	yes	characteristic
816	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
817	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
818	#2854	C₂×D₄	1	4	yes	complemented
819	#2853	C₂×D₄	1	2	yes	complemented
820	#2853	C₂×D₄	1	2	yes	complemented
821	#2849	C₂×D₄	1	4	yes	—
822	#2849	C₂×D₄	1	4	yes	complemented
823	#2849	C₂×D₄	1	2	yes	complemented
824	#2847	C₂×D₄	1	4	yes	complemented
825	#2846	C₂×D₄	1	4	yes	—
826	#2846	C₂×D₄	1	4	yes	—
827	#2846	C₂×D₄	1	4	yes	complemented
828	#2846	C₂×D₄	1	4	yes	complemented
829	#2846	C₂×D₄	1	2	yes	complemented
830	#2842	C₂⁴	1	2	yes	—
831	#2842	C₂⁴	1	2	yes	—
832	#2842	C₂⁴	1	2	yes	—
833	#2842	C₂⁴	1	2	yes	—
834	#2622	C₂×D₄	1	4	yes	—
835	#2622	C₂×D₄	1	4	yes	complemented
836	#2622	C₂×D₄	1	4	yes	complemented
837	#2622	C₂×D₄	1	4	yes	complemented
838	#2622	C₂×D₄	1	2	yes	complemented
839	#2622	C₂×D₄	1	2	yes	complemented
840	#2618	C₂×D₄	1	4	yes	complemented
841	#2617	C₂×D₄	1	4	yes	complemented
842	#2614	C₂×D₄	1	2	yes	complemented
843	#2613	C₂×D₄	1	2	yes	complemented
844	#2613	C₂×D₄	1	4	yes	complemented
845	#2613	C₂×D₄	1	4	yes	complemented
846	#2539	C₂×D₄	1	4	yes	complemented
847	#2539	C₂×D₄	1	4	yes	complemented
848	#2534	C₂×D₄	1	4	yes	complemented
849	#2534	C₂×D₄	1	4	yes	complemented
850	#2504	C₂×D₄	1	4	yes	complemented
851	#2487	C₂×D₄	1	4	yes	complemented
852	#2483	C₂⁴	1	2	yes	—
853	#2483	C₂⁴	1	4	yes	—
854	#2483	C₂⁴	1	4	yes	—
855	#2483	C₂⁴	1	2	yes	—
856	#2483	C₂⁴	1	2	yes	—
857	#2482	C₂×D₄	1	4	yes	complemented
858	#2482	C₂×D₄	1	4	yes	complemented
859	#2436	C₂×D₄	1	4	yes	complemented
860	#2413	C₂×D₄	1	4	yes	complemented
861	#2412	C₂×D₄	1	4	yes	complemented
862	#2412	C₂×D₄	1	4	yes	complemented
863	#2412	C₂×D₄	1	4	yes	complemented
864	#2411	C₂×D₄	1	4	yes	—
865	#2411	C₂×D₄	1	4	yes	—
866	#2411	C₂×D₄	1	4	yes	complemented
867	#2411	C₂×D₄	1	4	yes	complemented
868	#2411	C₂×D₄	1	4	yes	complemented
869	#2410	C₂×D₄	1	4	yes	—
870	#2410	C₂×D₄	1	4	yes	—
871	#2410	C₂×D₄	1	4	yes	complemented
872	#2410	C₂×D₄	1	4	yes	complemented
873	#2410	C₂×D₄	1	4	yes	complemented
874	#2410	C₂×D₄	1	4	yes	complemented
875	#2410	C₂×D₄	1	4	yes	complemented
876	#2409	C₂×D₄	1	4	yes	complemented
877	#2406	C₂×D₄	1	4	yes	complemented
878	#2405	C₂×D₄	1	4	yes	—
879	#2405	C₂×D₄	1	4	yes	complemented
880	#2405	C₂×D₄	1	4	yes	complemented
881	#2405	C₂⁴	1	2	yes	—
882	#2405	C₂⁴	1	2	yes	—
883	#2405	C₂⁴	1	2	yes	—
884	#2405	C₂⁴	1	2	yes	—
885	#2405	C₂⁴	1	2	yes	—
886	#2405	C₂⁴	1	2	yes	—
887	#2405	C₂⁴	1	4	yes	—
888	#2405	C₂⁴	1	4	yes	—
889	#2405	C₂⁴	1	4	yes	—
890	#2405	C₂⁴	1	4	yes	—
891	#2405	C₂⁴	1	4	yes	—
892	#2405	C₂⁴	1	4	yes	—
893	#2405	C₂⁴	1	4	yes	—
894	#2405	C₂⁴	1	4	yes	—
895	#2405	C₂⁴	1	4	yes	—
896	#2405	C₂⁴	1	4	yes	—
897	#2405	C₂⁴	1	2	yes	—
898	#2405	C₂⁴	1	2	yes	—
899	#2405	C₂⁴	1	2	yes	—
900	#2405	C₂⁴	1	2	yes	—
901	#2405	C₂⁴	1	2	yes	—
902	#2405	C₂⁴	1	2	yes	—
903	#2405	C₂⁴	1	2	yes	—
904	#2405	C₂⁴	1	2	yes	—
905	#2405	C₂⁴	1	2	yes	—
906	#2405	C₂⁴	1	2	yes	—
907	#2405	C₂⁴	1	2	yes	—
908	#2405	C₂⁴	1	2	yes	—
909	#2404	C₂×D₄	1	4	yes	—
910	#2404	C₂×D₄	1	4	yes	—
911	#2404	C₂×D₄	1	4	yes	complemented
912	#2403	C₂×D₄	1	4	yes	—
913	#2403	C₂×D₄	1	4	yes	complemented
914	#2403	C₂×D₄	1	4	yes	complemented
915	#2403	C₂⁴	1	2	yes	—
916	#2403	C₂⁴	1	2	yes	—
917	#2403	C₂⁴	1	2	yes	—
918	#2403	C₂⁴	1	2	yes	—
919	#2403	C₂⁴	1	2	yes	—
920	#2403	C₂⁴	1	4	yes	—
921	#2403	C₂⁴	1	4	yes	—
922	#2403	C₂⁴	1	4	yes	—
923	#2403	C₂⁴	1	4	yes	—
924	#2403	C₂⁴	1	4	yes	—
925	#2403	C₂⁴	1	4	yes	—
926	#2403	C₂⁴	1	4	yes	—
927	#2403	C₂⁴	1	4	yes	—
928	#2403	C₂⁴	1	4	yes	—
929	#2403	C₂⁴	1	4	yes	—
930	#2403	C₂⁴	1	4	yes	—
931	#2403	C₂⁴	1	4	yes	—
932	#2403	C₂⁴	1	2	yes	—
933	#2403	C₂⁴	1	2	yes	—
934	#2403	C₂⁴	1	2	yes	—
935	#2403	C₂⁴	1	2	yes	—
936	#2403	C₂⁴	1	2	yes	—
937	#2403	C₂⁴	1	2	yes	—
938	#2403	C₂⁴	1	2	yes	—
939	#2403	C₂⁴	1	2	yes	—
940	#2403	C₂⁴	1	2	yes	—
941	#2403	C₂⁴	1	2	yes	—
942	#2342	C₂×D₄	1	4	yes	complemented
943	#2342	C₂×D₄	1	4	yes	complemented
944	D₄×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
945	D₄×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
946	#2322	C₂×D₄	1	4	yes	complemented
947	#2321	C₂×D₄	1	4	yes	complemented
948	#2315	C₂×D₄	1	2	yes	complemented
949	#2315	C₂×D₄	1	2	yes	complemented
950	#2312	C₂⁴	1	2	yes	—
951	#2312	C₂⁴	1	2	yes	—
952	#2312	C₂⁴	1	2	yes	—
953	#2312	C₂⁴	1	2	yes	—
954	#2312	C₂⁴	1	4	yes	—
955	#2312	C₂⁴	1	4	yes	—
956	#2312	C₂⁴	1	2	yes	—
957	#2312	C₂⁴	1	2	yes	—
958	#2309	C₂⁴	1	2	yes	—
959	#2309	C₂⁴	1	2	yes	—
960	#2309	C₂⁴	1	2	yes	—
961	#2309	C₂⁴	1	2	yes	—
962	#2309	C₂⁴	1	2	yes	—
963	#2309	C₂⁴	1	2	yes	—
964	#2309	C₂⁴	1	2	yes	—
965	#2309	C₂⁴	1	2	yes	—
966	#2309	C₂⁴	1	1	yes	characteristic
967	#2309	C₂⁴	1	1	yes	characteristic
968	#2308	C₂×D₄	1	2	yes	—
969	#2308	C₂×D₄	1	2	yes	—
970	#2308	C₂×D₄	1	4	yes	—
971	#2308	C₂×D₄	1	4	yes	complemented
972	#2308	C₂×D₄	1	2	yes	complemented
973	#2308	C₂×D₄	1	2	yes	complemented
974	#2308	C₂×D₄	1	2	yes	complemented
975	#2308	C₂⁴	1	2	yes	—
976	#2308	C₂⁴	1	2	yes	—
977	#2308	C₂⁴	1	2	yes	—
978	#2308	C₂⁴	1	2	yes	—
979	#2308	C₂⁴	1	1	yes	characteristic
980	#2308	C₂⁴	1	1	yes	characteristic
981	#2308	C₂⁴	1	2	yes	—
982	#2308	C₂⁴	1	1	yes	characteristic
983	#2308	C₂⁴	1	1	yes	characteristic
984	#2308	C₂⁴	1	2	yes	—
985	#2308	C₂⁴	1	2	yes	—
986	#2308	C₂⁴	1	1	yes	characteristic
987	#2308	C₂⁴	1	1	yes	characteristic
988	#2308	C₂⁴	1	1	yes	characteristic
989	#2308	C₂⁴	1	1	yes	characteristic
990	C₄×#123	C₂×D₄	1	4	yes	complemented
991	C₄×#120	C₂×D₄	1	4	yes	complemented
992	#2297	C₂×D₄	1	2	yes	complemented
993	#2297	C₂×D₄	1	2	yes	complemented
994	#2280	C₂×D₄	1	2	yes	complemented
995	C₂×#379	C₂×D₄	1	2	yes	complemented
996	C₂×#379	C₂×D₄	1	2	yes	complemented
997	C₂×#379	C₂×D₄	1	2	yes	complemented
998	C₂×#379	C₂⁴	1	4	yes	—
999	C₂×#379	C₂⁴	1	4	yes	—
1000	C₂×#379	C₂⁴	1	2	yes	—
1001	C₂×#379	C₂⁴	1	2	yes	—
1002	C₂×#379	C₂⁴	1	2	yes	—
1003	C₂×#379	C₂⁴	1	2	yes	—
1004	C₂×#379	C₂⁴	1	2	yes	—
1005	#1819	C₂⁴	1	4	yes	—
1006	#1819	C₂⁴	1	4	yes	—
1007	#1819	C₂⁴	1	2	yes	—
1008	#1819	C₂⁴	1	2	yes	—
1009	#1819	C₂⁴	1	2	yes	—
1010	#1819	C₂⁴	1	2	yes	—
1011	#1819	C₂⁴	1	4	yes	—
1012	#1819	C₂⁴	1	4	yes	—
1013	#1819	C₂⁴	1	4	yes	—
1014	#1819	C₂⁴	1	4	yes	—
1015	#1819	C₂⁴	1	4	yes	—
1016	#1819	C₂⁴	1	4	yes	—
1017	#1819	C₂⁴	1	4	yes	—
1018	#1819	C₂⁴	1	4	yes	—
1019	#1819	C₂⁴	1	4	yes	—
1020	#1819	C₂⁴	1	4	yes	—
1021	#1819	C₂⁴	1	4	yes	—
1022	#1819	C₂⁴	1	4	yes	—
1023	#1819	C₂⁴	1	4	yes	—
1024	#1819	C₂⁴	1	4	yes	—
1025	#1781	C₂⁴	1	2	yes	—
1026	#1781	C₂⁴	1	2	yes	—
1027	#1781	C₂⁴	1	2	yes	—
1028	#1781	C₂⁴	1	2	yes	—
1029	#1781	C₂⁴	1	4	yes	—
1030	#1781	C₂⁴	1	4	yes	—
1031	#1781	C₂⁴	1	4	yes	—
1032	#1781	C₂⁴	1	4	yes	—
1033	#1781	C₂⁴	1	4	yes	—
1034	#1781	C₂⁴	1	4	yes	—
1035	#1781	C₂⁴	1	4	yes	—
1036	#1781	C₂⁴	1	4	yes	—
1037	#1781	C₂⁴	1	2	yes	—
1038	#1781	C₂⁴	1	2	yes	—
1039	#1781	C₂⁴	1	2	yes	—
1040	#1781	C₂⁴	1	2	yes	—
1041	#1781	C₂⁴	1	2	yes	—
1042	#1781	C₂⁴	1	2	yes	—
1043	#1781	C₂⁴	1	4	yes	—
1044	#1781	C₂⁴	1	4	yes	—
1045	#1781	C₂⁴	1	4	yes	—
1046	#1781	C₂⁴	1	4	yes	—
1047	#1781	C₂⁴	1	4	yes	—
1048	#1781	C₂⁴	1	4	yes	—
1049	#1781	C₂⁴	1	4	yes	—
1050	#1781	C₂⁴	1	4	yes	—
1051	#1781	C₂⁴	1	4	yes	—
1052	#1781	C₂⁴	1	4	yes	—
1053	#1781	C₂⁴	1	4	yes	—
1054	#1781	C₂⁴	1	4	yes	—
1055	#1781	C₂⁴	1	2	yes	—
1056	#1781	C₂⁴	1	2	yes	—
1057	#1781	C₂⁴	1	4	yes	—
1058	#1781	C₂⁴	1	4	yes	—
1059	#1781	C₂⁴	1	4	yes	—
1060	#1781	C₂⁴	1	4	yes	—
1061	#1781	C₂⁴	1	4	yes	—
1062	#1781	C₂⁴	1	4	yes	—
1063	#1781	C₂⁴	1	4	yes	—
1064	#1781	C₂⁴	1	4	yes	—
1065	#1781	C₂⁴	1	4	yes	—
1066	#1781	C₂⁴	1	4	yes	—
1067	#1781	C₂⁴	1	4	yes	—
1068	#1781	C₂⁴	1	4	yes	—
1069	#1781	C₂⁴	1	4	yes	—
1070	#1781	C₂⁴	1	4	yes	—
1071	#1781	C₂⁴	1	4	yes	—
1072	#1781	C₂⁴	1	4	yes	—
1073	#1304	C₂⁴	1	4	yes	—
1074	#1304	C₂⁴	1	4	yes	—
1075	#1304	C₂⁴	1	4	yes	—
1076	#1304	C₂⁴	1	4	yes	—
1077	#1304	C₂⁴	1	4	yes	—
1078	#1304	C₂⁴	1	4	yes	—
1079	#1304	C₂⁴	1	4	yes	—
1080	#1304	C₂⁴	1	4	yes	—
1081	#1304	C₂⁴	1	4	yes	—
1082	#1304	C₂⁴	1	4	yes	—
1083	#1304	C₂⁴	1	4	yes	—
1084	#1304	C₂⁴	1	4	yes	—
1085	#1304	C₂⁴	1	4	yes	—
1086	#1304	C₂⁴	1	4	yes	—
1087	#1304	C₂⁴	1	4	yes	—
1088	#1304	C₂⁴	1	4	yes	—
1089	#1304	C₂⁴	1	4	yes	—
1090	#1304	C₂⁴	1	4	yes	—
1091	#1304	C₂⁴	1	4	yes	—
1092	#1304	C₂⁴	1	4	yes	—
1093	#1304	C₂⁴	1	4	yes	—
1094	#1304	C₂⁴	1	4	yes	—
1095	#1304	C₂⁴	1	4	yes	—
1096	#1304	C₂⁴	1	4	yes	—
1097	C₂⁶	C₂²×D₄	1	2	yes	—
1098	C₂⁶	C₂²×D₄	1	1	yes	characteristic
1099	C₂⁶	C₂²×D₄	1	1	yes	characteristic
1100	C₂⁶	C₂²×D₄	1	1	yes	characteristic
1101	C₂⁶	C₂²×D₄	1	2	yes	—
1102	C₂⁶	C₂²×D₄	1	1	yes	characteristic, complemented
1103	C₂⁶	H(5,𝔽₂)	1	2	yes	—
1104	C₂⁶	C₂⁵	1	1	yes	characteristic
1105	C₂²×#41	C₂²×D₄	1	2	yes	—
1106	C₂²×#41	C₂²×D₄	1	2	yes	—
1107	C₂²×#41	C₂²×D₄	1	2	yes	—
1108	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic, complemented
1109	C₂³×Q₈	C₂²×D₄	1	2	yes	complemented
1110	C₂³×D₄	#120	1	4	yes	—
1111	C₂³×D₄	C₂²×D₄	1	4	yes	—
1112	C₂³×D₄	C₂²×D₄	1	4	yes	—
1113	C₂³×D₄	C₂²×D₄	1	2	yes	—
1114	C₂³×D₄	C₂²×D₄	1	2	yes	—
1115	C₂³×D₄	C₂²×D₄	1	2	yes	—
1116	C₂³×D₄	C₂²×D₄	1	2	yes	—
1117	C₂³×D₄	C₂²×D₄	1	2	yes	—
1118	C₂³×D₄	C₂²×D₄	1	2	yes	—
1119	C₂³×D₄	C₂²×D₄	1	2	yes	—
1120	C₂³×D₄	C₂²×D₄	1	2	yes	—
1121	C₂³×D₄	C₂²×D₄	1	2	yes	—
1122	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1123	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1124	C₂³×D₄	C₂²×D₄	1	2	yes	—
1125	C₂³×D₄	C₂²×D₄	1	2	yes	—
1126	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic, complemented
1127	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
1128	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
1129	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
1130	C₂³×D₄	H(5,𝔽₂)	1	4	yes	—
1131	C₂³×D₄	C₂⁵	1	2	yes	—
1132	C₂³×D₄	C₂⁵	1	2	yes	—
1133	C₂³×D₄	C₂⁵	1	2	yes	—
1134	C₂³×D₄	C₂⁵	1	2	yes	—
1135	C₂³×D₄	C₂⁵	1	1	yes	characteristic
1136	C₂³×D₄	C₂⁵	1	1	yes	characteristic
1137	C₂³×D₄	C₂⁵	1	1	yes	characteristic
1138	C₂³×D₄	C₂⁵	1	1	yes	characteristic
1139	C₂³×D₄	C₂⁵	1	2	yes	—
1140	C₂³×D₄	C₂⁵	1	2	yes	—
1141	C₂³×D₄	C₂⁵	1	2	yes	—
1142	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
1143	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
1144	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic, complemented
1145	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
1146	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
1147	C₂×#127	#120	1	4	yes	—
1148	C₂×#124	#120	1	4	yes	—
1149	C₂×#123	#120	1	4	yes	—
1150	C₂×#123	C₂²×D₄	1	4	yes	—
1151	C₂×#123	C₂²×D₄	1	4	yes	—
1152	C₂×#123	C₂²×D₄	1	4	yes	—
1153	C₂×#123	C₂²×D₄	1	4	yes	—
1154	C₂×#123	C₂²×D₄	1	2	yes	—
1155	C₂×#123	C₂²×D₄	1	2	yes	—
1156	C₂×#123	C₂²×D₄	1	2	yes	—
1157	C₂×#123	C₂²×D₄	1	2	yes	—
1158	C₂×#123	C₂²×D₄	1	4	yes	complemented
1159	C₂×#123	C₂²×D₄	1	4	yes	complemented
1160	C₂×C₂²⋊Q₈	#120	1	4	yes	—
1161	C₂×#121	#120	1	4	yes	—
1162	C₂×#121	#120	1	4	yes	—
1163	C₂×#121	#120	1	4	yes	—
1164	C₂×#121	#120	1	4	yes	—
1165	C₂×#121	#120	1	4	yes	—
1166	C₂×#121	C₂²×D₄	1	4	yes	—
1167	C₂×#121	C₂²×D₄	1	4	yes	—
1168	C₂×#120	#120	1	4	yes	—
1169	C₂×#120	#120	1	4	yes	—
1170	C₂×#120	#120	1	4	yes	—
1171	C₂×#120	C₂²×D₄	1	4	yes	—
1172	C₂×#120	C₂²×D₄	1	4	yes	—
1173	C₂×#120	C₂²×D₄	1	4	yes	—
1174	C₂×#120	C₂²×D₄	1	4	yes	—
1175	C₂×#120	C₂²×D₄	1	4	yes	—
1176	C₂×#120	C₂²×D₄	1	4	yes	—
1177	C₂×#120	C₂²×D₄	1	4	yes	—
1178	C₂×#120	C₂²×D₄	1	4	yes	—
1179	C₂×#120	C₂²×D₄	1	4	yes	—
1180	C₂×#120	C₂²×D₄	1	4	yes	—
1181	C₂×#120	C₂²×D₄	1	2	yes	—
1182	C₂×#120	C₂²×D₄	1	2	yes	—
1183	C₂×#120	C₂²×D₄	1	2	yes	—
1184	C₂×#120	C₂²×D₄	1	2	yes	—
1185	C₂×#120	C₂²×D₄	1	2	yes	—
1186	C₂×#120	C₂²×D₄	1	2	yes	—
1187	C₂×#120	C₂²×D₄	1	2	yes	—
1188	C₂×#120	C₂²×D₄	1	2	yes	—
1189	C₂×#120	C₂²×D₄	1	4	yes	complemented
1190	C₂×#120	C₂²×D₄	1	4	yes	complemented
1191	C₂×C₄×D₄	#120	1	4	yes	—
1192	C₂×C₄×D₄	#120	1	4	yes	—
1193	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1194	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1195	C₂×#117	C₂²×D₄	1	4	yes	—
1196	C₂×#117	C₂²×D₄	1	2	yes	—
1197	C₂×#117	C₂²×D₄	1	2	yes	complemented
1198	C₂×#117	C₂²×D₄	1	2	yes	complemented
1199	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
1200	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
1201	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
1202	C₂²×C₂²⋊C₄	#120	1	4	yes	—
1203	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1204	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1205	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1206	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1207	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1208	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1209	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1210	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1211	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1212	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1213	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1214	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1215	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1216	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1217	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1218	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1219	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1220	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1221	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1222	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic, complemented
1223	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic, complemented
1224	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
1225	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
1226	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
1227	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
1228	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
1229	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
1230	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
1231	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
1232	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
1233	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
1234	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
1235	C₂²×C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
1236	C₂²×C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
1237	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic, complemented
1238	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic, complemented
1239	C₂²×C₄²	C₂²×D₄	1	2	yes	complemented
1240	#386	C₂²×D₄	1	4	yes	—
1241	#386	C₂²×D₄	1	4	yes	—
1242	#386	C₂²×D₄	1	4	yes	—
1243	#386	C₂²×D₄	1	4	yes	—
1244	#386	C₂²×D₄	1	4	yes	—
1245	#386	C₂²×D₄	1	4	yes	—
1246	#386	C₂²×D₄	1	4	yes	—
1247	#386	C₂²×D₄	1	4	yes	—
1248	#386	C₂²×D₄	1	4	yes	—
1249	#386	C₂²×D₄	1	4	yes	—
1250	#386	C₂²×D₄	1	4	yes	—
1251	#386	C₂²×D₄	1	4	yes	—
1252	#386	C₂²×D₄	1	4	yes	complemented
1253	#386	C₂²×D₄	1	4	yes	complemented
1254	#386	C₂²×D₄	1	4	yes	complemented
1255	#386	C₂²×D₄	1	4	yes	complemented
1256	#385	C₂²×D₄	1	4	yes	—
1257	#385	C₂²×D₄	1	4	yes	—
1258	#385	C₂²×D₄	1	4	yes	—
1259	#385	C₂²×D₄	1	4	yes	—
1260	#385	C₂²×D₄	1	4	yes	complemented
1261	#385	C₂²×D₄	1	4	yes	complemented
1262	#385	C₂²×D₄	1	4	yes	complemented
1263	#385	C₂²×D₄	1	4	yes	complemented
1264	#381	C₂²×D₄	1	2	yes	—
1265	#381	C₂²×D₄	1	2	yes	—
1266	#381	C₂²×D₄	1	2	yes	complemented
1267	#381	C₂²×D₄	1	2	yes	complemented
1268	#381	C₂²×D₄	1	4	yes	complemented
1269	#381	C₂²×D₄	1	4	yes	complemented
1270	#380	C₂²×D₄	1	4	yes	complemented
1271	#380	C₂²×D₄	1	4	yes	complemented
1272	#379	C₂²×D₄	1	4	yes	—
1273	#379	C₂²×D₄	1	4	yes	—
1274	#379	C₂²×D₄	1	4	yes	—
1275	#379	C₂²×D₄	1	4	yes	—
1276	#379	C₂²×D₄	1	4	yes	—
1277	#379	C₂²×D₄	1	4	yes	—
1278	#379	C₂²×D₄	1	4	yes	—
1279	#379	C₂²×D₄	1	4	yes	—
1280	#379	C₂²×D₄	1	2	yes	complemented
1281	#379	C₂²×D₄	1	2	yes	complemented
1282	#379	C₂²×D₄	1	4	yes	complemented
1283	#379	C₂²×D₄	1	4	yes	complemented
1284	#379	C₂⁵	1	2	yes	—
1285	#379	C₂⁵	1	2	yes	—
1286	#379	C₂⁵	1	2	yes	—
1287	#379	C₂⁵	1	2	yes	—
1288	#379	C₂⁵	1	4	yes	—
1289	#379	C₂⁵	1	4	yes	—
1290	#379	C₂⁵	1	4	yes	—
1291	#379	C₂⁵	1	4	yes	—
1292	#379	C₂⁵	1	2	yes	—
1293	#379	C₂⁵	1	2	yes	—
1294	#379	C₂⁵	1	2	yes	—
1295	#379	C₂⁵	1	2	yes	—
1296	#379	C₂⁵	1	2	yes	—
1297	#379	C₂⁵	1	2	yes	—
1298	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
1299	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
1300	C₂⁵	C₂×#120	1	4	yes	—
1301	C₂⁵	C₂×#120	1	2	yes	—
1302	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1303	C₂⁵	C₂³×D₄	1	2	yes	—
1304	C₂⁵	C₂³×D₄	1	2	yes	—
1305	C₂⁵	C₂³×D₄	1	2	yes	—
1306	C₂⁵	C₂³×D₄	1	2	yes	—
1307	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1308	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1309	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1310	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1311	C₂⁵	C₂³×D₄	1	2	yes	—
1312	C₂⁵	C₂³×D₄	1	2	yes	—
1313	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1314	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1315	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1316	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1317	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1318	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
1319	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1320	C₂⁵	C₂⁶	1	1	yes	characteristic
1321	C₂²×Q₈	C₂×#120	1	2	yes	—
1322	C₂²×D₄	C₂×#120	1	4	yes	—
1323	C₂²×D₄	C₂×#120	1	2	yes	—
1324	C₂²×D₄	C₂×#120	1	2	yes	—
1325	C₂²×D₄	C₂×#120	1	4	yes	—
1326	C₂²×D₄	C₂×#120	1	4	yes	—
1327	C₂²×D₄	C₂×#120	1	4	yes	—
1328	C₂²×D₄	C₂×#120	1	4	yes	—
1329	C₂²×D₄	C₂×#120	1	4	yes	—
1330	C₂²×D₄	C₂×#120	1	2	yes	—
1331	C₂²×D₄	C₂×#120	1	4	yes	—
1332	C₂²×D₄	C₂×#120	1	4	yes	—
1333	C₂²×D₄	C₂³×D₄	1	2	yes	—
1334	C₂²×D₄	C₂³×D₄	1	2	yes	—
1335	C₂²×D₄	C₂³×D₄	1	2	yes	—
1336	C₂²×D₄	C₂³×D₄	1	2	yes	—
1337	C₂²×D₄	C₂³×D₄	1	2	yes	—
1338	C₂²×D₄	C₂³×D₄	1	2	yes	—
1339	C₂²×D₄	C₂³×D₄	1	2	yes	—
1340	C₂²×D₄	C₂³×D₄	1	2	yes	—
1341	C₂³×C₄	C₂×#120	1	2	yes	—
1342	C₂³×C₄	C₂×#120	1	4	yes	—
1343	C₂³×C₄	C₂×#120	1	2	yes	—
1344	C₂³×C₄	C₂×#120	1	2	yes	—
1345	C₂³×C₄	C₂×#120	1	4	yes	—
1346	C₂³×C₄	C₂³×D₄	1	2	yes	—
1347	C₂³×C₄	C₂³×D₄	1	2	yes	—
1348	C₂³×C₄	C₂³×D₄	1	2	yes	—
1349	C₂³×C₄	C₂³×D₄	1	2	yes	—
1350	C₂³×C₄	C₂³×D₄	1	2	yes	—
1351	C₂³×C₄	C₂³×D₄	1	2	yes	—
1352	C₂³×C₄	C₂³×D₄	1	2	yes	—
1353	C₂³×C₄	C₂³×D₄	1	2	yes	—
1354	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1355	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1356	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1357	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1358	C₂³×C₄	C₂³×D₄	1	2	yes	—
1359	C₂³×C₄	C₂³×D₄	1	2	yes	—
1360	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1361	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1362	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1363	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1364	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1365	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1366	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1367	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1368	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1369	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1370	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1371	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1372	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1373	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1374	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1375	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1376	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1377	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1378	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1379	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1380	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1381	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1382	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1383	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1384	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1385	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1386	C₂×C₄²	C₂×#120	1	4	yes	—
1387	C₂⁴	C₂²×#120	1	2	yes	—
1388	C₂⁴	C₂²×#120	1	2	yes	—
1389	C₂⁴	C₂²×#120	1	2	yes	—
1390	C₂⁴	C₂²×#120	1	2	yes	—
1391	C₂⁴	C₂²×#120	1	2	yes	—
1392	C₂⁴	C₂²×#120	1	2	yes	—
1393	C₂⁴	#3484	1	4	yes	—
1394	C₂⁴	#3484	1	4	yes	—
1395	C₂⁴	#3484	1	4	yes	—
1396	C₂⁴	#3484	1	4	yes	—
1397	C₂⁴	#3484	1	2	yes	—
1398	C₂⁴	#3484	1	2	yes	—
1399	C₂⁴	#3484	1	1	yes	characteristic
1400	C₂⁴	#3484	1	2	yes	—
1401	C₂⁴	#3484	1	1	yes	characteristic
1402	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1403	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1404	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1405	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1406	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1407	C₂²×C₄	C₂²×#120	1	2	yes	—
1408	C₂²×C₄	C₂²×#120	1	2	yes	—
1409	C₂²×C₄	C₂²×#120	1	2	yes	—
1410	C₂²×C₄	C₂²×#120	1	2	yes	—
1411	C₂²×C₄	C₂²×#120	1	4	yes	—
1412	C₂²×C₄	C₂²×#120	1	4	yes	—
1413	C₂³	#35346	1	2	yes	—
1414	C₂³	#35346	1	2	yes	—
1415	C₂³	#35346	1	4	yes	—
1416	C₂³	#60399	1	4	yes	—
1417	C₂³	C₂³×#120	1	1	yes	characteristic
1418	C₂³	C₂×#3484	1	1	yes	characteristic
1419	C₂³	C₂×#3484	1	1	yes	characteristic
1420	C₂³	C₂×#3484	1	2	yes	—
1421	C₂³	C₂×#3484	1	2	yes	—
1422	C₂²	C₂×#35346	1	1	yes	characteristic
1423	C₂²	C₂×#60399	1	2	yes	—
1424	C₂	#72224136	1	1	yes	characteristic
1425	C₂	#72234693	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	C₂×#35346
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72341119	C₂	semidirect
2. #72341117	C₂	semidirect
3. #72341111	C₂	semidirect
4. #72341107	C₂	semidirect
5. #72341100	C₂	semidirect
6. #72341096	C₂	semidirect
7. #72341088	C₂	semidirect
8. #72341081	C₂	semidirect
9. #72341077	C₂	semidirect
10. #72341076	C₂	semidirect
11. #72341075	C₂	semidirect
12. #72341061	C₂	semidirect
13. #72341030	C₂	semidirect
14. #72341027	C₂	semidirect
15. #72341023	C₂	semidirect
16. #72340970	C₂	semidirect
17. #72340384	C₂	semidirect
18. #72340349	C₂	semidirect
19. #72340345	C₂	semidirect
20. #72340341	C₂	semidirect
21. #72338901	C₂	semidirect
22. #72311279	C₂	semidirect
23. #72311103	C₂	semidirect
24. #72311058	C₂	semidirect
25. #72285852	C₂	semidirect
26. #72285794	C₂	semidirect
27. #72284546	C₂	semidirect
28. #72241006	C₂	semidirect
29. #72233065	C₂	semidirect
30. #72225655	C₂	semidirect
31. #72210439	C₂	semidirect
32. #10586066	C₂²	semidirect
33. #8934366	C₂²	semidirect
34. #8932958	C₂²	semidirect
35. #8932958	C₂²	semidirect
36. #8926668	C₂²	semidirect
37. #8926668	C₂²	semidirect
38. #8925011	C₂²	semidirect
39. #8925011	C₂²	semidirect
40. #8925011	C₂²	semidirect
41. #8924809	C₂²	semidirect
42. #8924809	C₂²	semidirect
43. #7806639	C₂²	semidirect
44. #7806639	C₂²	semidirect
45. #7806639	C₂²	semidirect
47. #7739587	C₂²	semidirect
48. #7739587	C₂²	semidirect
50. #7739460	C₂²	semidirect
51. #7739460	C₂²	semidirect
53. #7642244	C₂²	semidirect
54. #7642244	C₂²	semidirect
55. C₂×#35346	C₂²	semidirect
56. #6629402	C₂²	semidirect
57. #6629398	C₂²	semidirect
58. #6629262	C₂²	semidirect
59. #6629262	C₂²	semidirect
60. #6628902	C₂²	semidirect
61. #6628901	C₂²	semidirect
62. #6628897	C₂²	semidirect
64. #6628896	C₂²	semidirect
65. #6628896	C₂²	semidirect
66. #6628892	C₂²	semidirect
67. #6628892	C₂²	semidirect
68. #6487660	C₂²	semidirect
69. #6487660	C₂²	semidirect
70. #6487656	C₂²	semidirect
71. #6487656	C₂²	semidirect
72. #6470245	C₂²	semidirect
73. #6470245	C₂²	semidirect
74. #6470244	C₂²	semidirect
75. #6470244	C₂²	semidirect
76. #6470237	C₂²	semidirect
77. #6470237	C₂²	semidirect
78. #6470237	C₂²	semidirect
79. #6470237	C₂²	semidirect
80. #6470237	C₂²	semidirect
81. #6470232	C₂²	semidirect
82. #6470232	C₂²	semidirect
83. #6470231	C₂²	semidirect
84. #6470231	C₂²	semidirect
85. #6470231	C₂²	semidirect
86. #6470231	C₂²	semidirect
87. #6470225	C₂²	semidirect
88. #6470225	C₂²	semidirect
89. #6470225	C₂²	semidirect
91. #6432953	C₂²	semidirect
92. #6432953	C₂²	semidirect
93. #6432953	C₂²	semidirect
94. #6385975	C₂²	semidirect
95. #6385975	C₂²	semidirect
96. #6385975	C₂²	semidirect
97. #6385975	C₂²	semidirect
98. #6374210	C₂²	semidirect
99. #6374210	C₂²	semidirect
100. #6370693	C₂²	semidirect
101. #251931	C₂²	semidirect
102. #251930	C₂²	semidirect
103. #251925	C₂²	semidirect
104. #251923	C₂²	semidirect
105. #251918	C₂²	semidirect
106. #251913	C₂²	semidirect
107. #251913	C₂²	semidirect
108. #251912	C₂²	semidirect
109. #251912	C₂²	semidirect
110. #251911	C₂²	semidirect
111. #251909	C₂²	semidirect
112. #251907	C₂²	semidirect
113. #251900	C₂²	semidirect
114. #251898	C₂²	semidirect
115. #251897	C₂²	semidirect
116. #251894	C₂²	semidirect
117. #251892	C₂²	semidirect
118. #251892	C₂²	semidirect
119. #251885	C₂²	semidirect
120. #251884	C₂²	semidirect
121. #251881	C₂²	semidirect
122. #251878	C₂²	semidirect
123. #251875	C₂²	semidirect
124. #251871	C₂²	semidirect
125. #251867	C₂²	semidirect
126. #251866	C₂²	semidirect
127. #251865	C₂²	semidirect
128. #251865	C₂²	semidirect
129. #251865	C₂²	semidirect
130. #251863	C₂²	semidirect
131. #251863	C₂²	semidirect
132. #251861	C₂²	semidirect
133. #251860	C₂²	semidirect
134. #251860	C₂²	semidirect
135. #251859	C₂²	semidirect
136. #251859	C₂²	semidirect
137. #251859	C₂²	semidirect
138. #251859	C₂²	semidirect
139. #251858	C₂²	semidirect
140. #251854	C₂²	semidirect
141. #251848	C₂²	semidirect
142. #251845	C₂²	semidirect
143. #251844	C₂²	semidirect
144. #251843	C₂²	semidirect
145. #251843	C₂²	semidirect
146. #251843	C₂²	semidirect
147. #251843	C₂²	semidirect
148. #251842	C₂²	semidirect
149. #251839	C₂²	semidirect
150. #251838	C₂²	semidirect
151. #251838	C₂²	semidirect
152. #251837	C₂²	semidirect
153. #251837	C₂²	semidirect
154. #251837	C₂²	semidirect
155. #251831	C₂²	semidirect
156. #251828	C₂²	semidirect
157. #245298	C₂²	semidirect
158. #245293	C₂²	semidirect
159. #245291	C₂²	semidirect
160. #245291	C₂²	semidirect
161. #245290	C₂²	semidirect
162. #245283	C₂²	semidirect
163. #245283	C₂²	semidirect
164. #245282	C₂²	semidirect
165. #245282	C₂²	semidirect
166. #245282	C₂²	semidirect
167. #245281	C₂²	semidirect
168. #245281	C₂²	semidirect
169. #245279	C₂²	semidirect
170. #245279	C₂²	semidirect
171. #245272	C₂²	semidirect
172. #245272	C₂²	semidirect
173. #245270	C₂²	semidirect
174. #245270	C₂²	semidirect
175. #245258	C₂²	semidirect
176. #245258	C₂²	semidirect
177. #245258	C₂²	semidirect
178. #245256	C₂²	semidirect
179. #245256	C₂²	semidirect
180. #245255	C₂²	semidirect
181. #245255	C₂²	semidirect
182. #245247	C₂²	semidirect
183. #245247	C₂²	semidirect
184. #245246	C₂²	semidirect
185. #245246	C₂²	semidirect
186. #245246	C₂²	semidirect
187. #245246	C₂²	semidirect
188. #245246	C₂²	semidirect
189. #245246	C₂²	semidirect
190. #245246	C₂²	semidirect
191. #245246	C₂²	semidirect
192. #245246	C₂²	semidirect
193. #245246	C₂²	semidirect
194. #245246	C₂²	semidirect
195. #245245	C₂²	semidirect
196. #245243	C₂²	semidirect
197. #245236	C₂²	semidirect
198. #245235	C₂²	semidirect
199. #245235	C₂²	semidirect
200. #245233	C₂²	semidirect
201. #245227	C₂²	semidirect
202. #245227	C₂²	semidirect
203. #245226	C₂²	semidirect
204. #245226	C₂²	semidirect
205. #245226	C₂²	semidirect
206. #245226	C₂²	semidirect
207. #245226	C₂²	semidirect
209. #245225	C₂²	semidirect
210. #245225	C₂²	semidirect
211. #245225	C₂²	semidirect
212. #245225	C₂²	semidirect
213. #238078	C₂²	semidirect
214. C₂×#10392	C₂²	semidirect
215. #233559	C₂²	semidirect
216. #233549	C₂²	semidirect
217. #233549	C₂²	semidirect
218. #233549	C₂²	semidirect
219. #233541	C₂²	semidirect
220. #233541	C₂²	semidirect
221. #213883	C₂²	semidirect
222. #213882	C₂²	semidirect
223. #213881	C₂²	semidirect
224. #213880	C₂²	semidirect
225. #213877	C₂²	semidirect
226. #213876	C₂²	semidirect
227. #213876	C₂²	semidirect
228. #213876	C₂²	semidirect
229. #213874	C₂²	semidirect
230. #213872	C₂²	semidirect
231. #213862	C₂²	semidirect
232. #213860	C₂²	semidirect
233. #213858	C₂²	semidirect
234. #213855	C₂²	semidirect
235. #213854	C₂²	semidirect
236. #213854	C₂²	semidirect
237. #213854	C₂²	semidirect
238. #213846	C₂²	semidirect
239. #213844	C₂²	semidirect
240. #213839	C₂²	semidirect
241. #213838	C₂²	semidirect
242. #213833	C₂²	semidirect
243. #213830	C₂²	semidirect
244. #213829	C₂²	semidirect
245. #213828	C₂²	semidirect
246. #213828	C₂²	semidirect
247. #201717	C₂²	semidirect
248. #201717	C₂²	semidirect
249. #201717	C₂²	semidirect
250. #201717	C₂²	semidirect
251. #201701	C₂²	semidirect
252. #201701	C₂²	semidirect
253. #201701	C₂²	semidirect
254. #201687	C₂²	semidirect
255. #201687	C₂²	semidirect
256. #201678	C₂²	semidirect
257. #201678	C₂²	semidirect
258. #201678	C₂²	semidirect
259. #201678	C₂²	semidirect
260. #201664	C₂²	semidirect
261. #190124	C₂²	semidirect
262. #190124	C₂²	semidirect
263. #190107	C₂²	semidirect
264. #188064	C₂²	semidirect
265. #188062	C₂²	semidirect
266. C₂×#8541	C₂²	semidirect
277. C₂×#3484	C₂³	semidirect
283. #46997	C₂³	semidirect
284. #46997	C₂³	semidirect
285. #46997	C₂³	semidirect
286. #46997	C₂³	semidirect
287. #46997	C₂³	semidirect
288. #46390	C₂³	semidirect
289. #46390	C₂³	semidirect
290. #46390	C₂³	semidirect
291. #46389	C₂³	semidirect
292. #46389	C₂³	semidirect
293. #46389	C₂³	semidirect
295. #46388	C₂³	semidirect
296. #46388	C₂³	semidirect
297. #46387	C₂³	semidirect
298. #46387	C₂³	semidirect
299. #46387	C₂³	semidirect
301. #46386	C₂³	semidirect
302. #46386	C₂³	semidirect
304. #46384	C₂³	semidirect
305. #46384	C₂³	semidirect
306. #39333	D₄	semidirect
307. #39332	D₄	semidirect
308. #38906	D₄	semidirect
309. #38904	D₄	semidirect
310. #38030	D₄	semidirect
311. #38028	D₄	semidirect
312. #37646	D₄	semidirect
313. #37644	D₄	semidirect
318. #37436	C₂³	semidirect
320. #37232	C₂³	semidirect
321. #37232	C₂³	semidirect
323. #37119	C₂³	semidirect
324. #37119	C₂³	semidirect
326. #36967	C₂³	semidirect
327. #36967	C₂³	semidirect
328. #36967	C₂³	semidirect
330. #36965	C₂³	semidirect
331. #36965	C₂³	semidirect
333. #36721	C₂³	semidirect
334. #36721	C₂³	semidirect
335. #36721	C₂³	semidirect
342. #36714	C₂³	semidirect
343. #36714	C₂³	semidirect
344. #36714	C₂³	semidirect
345. #36714	C₂³	semidirect
346. #36702	D₄	semidirect
347. C₂×#2842	C₂³	semidirect
348. C₂×#2846	D₄	semidirect
350. #35616	C₂³	semidirect
351. #35616	C₂³	semidirect
353. #35527	C₂³	semidirect
354. #35527	C₂³	semidirect
356. #35451	C₂³	semidirect
357. #35451	C₂³	semidirect
358. #35451	C₂³	semidirect
360. #35446	C₂³	semidirect
361. #35446	C₂³	semidirect
363. #35354	C₂³	semidirect
364. #35354	C₂³	semidirect
365. #35354	C₂³	semidirect
371. #35350	C₂³	semidirect
372. #35348	D₄	semidirect
373. #35348	D₄	semidirect
385. #35346	C₂³	semidirect
386. #35346	C₂³	semidirect
387. #35346	C₂³	semidirect
388. #35050	D₄	semidirect
389. #34992	D₄	semidirect
397. #34980	C₂³	semidirect
398. #34980	C₂³	semidirect
404. #34356	C₂³	semidirect
405. #34356	C₂³	semidirect
408. #34171	C₂³	semidirect
412. #33022	C₂³	semidirect
413. #33022	C₂³	semidirect
414. #33022	C₂³	semidirect
422. #33020	C₂³	semidirect
423. #33020	C₂³	semidirect
424. #33020	C₂³	semidirect
425. #33020	C₂³	semidirect
434. #32900	C₂³	semidirect
435. #32900	C₂³	semidirect
436. #32900	C₂³	semidirect
450. #32898	C₂³	semidirect
451. #32898	C₂³	semidirect
452. #32898	C₂³	semidirect
453. #32898	C₂³	semidirect
456. #29635	C₂³	semidirect
457. #29635	C₂³	semidirect
458. #29635	C₂³	semidirect
459. #29635	C₂³	semidirect
460. #29635	C₂³	semidirect
461. #29635	C₂³	semidirect
474. #29634	C₂³	semidirect
475. #29634	C₂³	semidirect
476. #29634	C₂³	semidirect
477. #29634	C₂³	semidirect
478. #29634	C₂³	semidirect
479. #29634	C₂³	semidirect
480. #29634	C₂³	semidirect
481. #29634	C₂³	semidirect
484. #21795	C₂³	semidirect
485. #21795	C₂³	semidirect
491. #21749	C₂³	semidirect
492. #21749	C₂³	semidirect
493. #21749	C₂³	semidirect
494. #21749	C₂³	semidirect
502. #21746	C₂³	semidirect
503. #21746	C₂³	semidirect
504. #21746	C₂³	semidirect
505. #21746	C₂³	semidirect
508. #20724	C₂³	semidirect
509. #20724	C₂³	semidirect
517. #20586	C₂³	semidirect
518. #20586	C₂³	semidirect
529. #20585	C₂³	semidirect
530. #20585	C₂³	semidirect
536. C₂×#1781	C₂³	semidirect
537. C₂×#1781	C₂³	semidirect
538. #10393	C₂³	semidirect
539. #10393	C₂³	semidirect
540. #10393	C₂³	semidirect
541. #10393	C₂³	semidirect
542. #10392	C₂³	semidirect
543. #10392	C₂³	semidirect
544. #10392	C₂³	semidirect
545. #10392	C₂³	semidirect
546. #10392	C₂³	semidirect
547. #10392	C₂³	semidirect
548. #10392	C₂³	semidirect
549. #10392	C₂³	semidirect
550. #10392	C₂³	semidirect
551. #10392	C₂³	semidirect
552. #10392	C₂³	semidirect
553. #10392	C₂³	semidirect
554. #10339	C₂³	semidirect
555. #10338	C₂³	semidirect
556. #10338	C₂³	semidirect
557. #10338	C₂³	semidirect
558. #10338	C₂³	semidirect
559. #10338	C₂³	semidirect
560. #10338	C₂³	semidirect
561. #10338	C₂³	semidirect
562. #10338	C₂³	semidirect
563. #10338	C₂³	semidirect
568. #10337	C₂³	semidirect
569. #10337	C₂³	semidirect
570. #10337	C₂³	semidirect
571. #10337	C₂³	semidirect
572. #10337	C₂³	semidirect
573. #10337	C₂³	semidirect
574. #10337	C₂³	semidirect
575. #10337	C₂³	semidirect
576. #10337	C₂³	semidirect
577. #10337	C₂³	semidirect
578. #10337	C₂³	semidirect
579. #10337	C₂³	semidirect
580. #10337	C₂³	semidirect
581. #10337	C₂³	semidirect
582. #10337	C₂³	semidirect
583. #10337	C₂³	semidirect
584. #10337	C₂³	semidirect
585. #10337	C₂³	semidirect
586. #10337	C₂³	semidirect
591. #10336	C₂³	semidirect
592. #10336	C₂³	semidirect
593. #10336	C₂³	semidirect
594. #10336	C₂³	semidirect
595. #10336	C₂³	semidirect
596. #10336	C₂³	semidirect
597. #10336	C₂³	semidirect
598. #10336	C₂³	semidirect
599. #10336	C₂³	semidirect
600. #10336	C₂³	semidirect
601. #10336	C₂³	semidirect
602. #9502	C₂³	semidirect
603. #9502	C₂³	semidirect
604. #9502	C₂³	semidirect
605. #9502	C₂³	semidirect
606. #9501	C₂³	semidirect
607. #9501	C₂³	semidirect
608. #9501	C₂³	semidirect
609. #9501	C₂³	semidirect
610. #9501	C₂³	semidirect
611. #9501	C₂³	semidirect
612. #9501	C₂³	semidirect
613. #9501	C₂³	semidirect
614. #9500	C₂³	semidirect
615. #9500	C₂³	semidirect
616. #9500	C₂³	semidirect
617. #9500	C₂³	semidirect
626. #9499	C₂³	semidirect
627. #9499	C₂³	semidirect
628. #9499	C₂³	semidirect
629. #9499	C₂³	semidirect
630. #9499	C₂³	semidirect
631. #9499	C₂³	semidirect
632. #9499	C₂³	semidirect
633. #9499	C₂³	semidirect
634. #9498	C₂³	semidirect
635. #9498	C₂³	semidirect
636. #9498	C₂³	semidirect
637. #9498	C₂³	semidirect
638. #9498	C₂³	semidirect
639. #9498	C₂³	semidirect
640. #9498	C₂³	semidirect
641. #9498	C₂³	semidirect
642. #9498	C₂³	semidirect
643. #9498	C₂³	semidirect
644. #9498	C₂³	semidirect
645. #9498	C₂³	semidirect
648. #9497	C₂³	semidirect
649. #9497	C₂³	semidirect
650. #9497	C₂³	semidirect
651. #9497	C₂³	semidirect
652. #9497	C₂³	semidirect
653. #9497	C₂³	semidirect
654. #9497	C₂³	semidirect
655. #9497	C₂³	semidirect
656. #9497	C₂³	semidirect
657. #9497	C₂³	semidirect
658. #9497	C₂³	semidirect
659. #9497	C₂³	semidirect
660. #9497	C₂³	semidirect
661. #9497	C₂³	semidirect
662. #9497	C₂³	semidirect
663. #9497	C₂³	semidirect
664. #9497	C₂³	semidirect
665. #9497	C₂³	semidirect
666. #9496	C₂³	semidirect
667. #9496	C₂³	semidirect
668. #9496	C₂³	semidirect
669. #9496	C₂³	semidirect
670. #9496	C₂³	semidirect
671. #9496	C₂³	semidirect
672. #9496	C₂³	semidirect
673. #9496	C₂³	semidirect
674. #9496	C₂³	semidirect
675. #9496	C₂³	semidirect
676. #9496	C₂³	semidirect
677. #9496	C₂³	semidirect
688. #9495	C₂³	semidirect
689. #9495	C₂³	semidirect
690. #9495	C₂³	semidirect
691. #9495	C₂³	semidirect
692. #9495	C₂³	semidirect
693. #9495	C₂³	semidirect
694. #9495	C₂³	semidirect
695. #9495	C₂³	semidirect
696. #9495	C₂³	semidirect
697. #9495	C₂³	semidirect
698. #9495	C₂³	semidirect
699. #9495	C₂³	semidirect
700. #9495	C₂³	semidirect
701. #9495	C₂³	semidirect
702. #9495	C₂³	semidirect
703. #9495	C₂³	semidirect
704. #9495	C₂³	semidirect
705. #9495	C₂³	semidirect
706. #8750	C₂³	semidirect
707. #8750	C₂³	semidirect
708. #8750	C₂³	semidirect
709. #8750	C₂³	semidirect
710. #8749	C₂³	semidirect
711. #8749	C₂³	semidirect
712. #8749	C₂³	semidirect
713. #8748	C₂³	semidirect
714. #8748	C₂³	semidirect
715. #8748	C₂³	semidirect
718. #8747	C₂³	semidirect
719. #8747	C₂³	semidirect
722. #8746	C₂³	semidirect
723. #8746	C₂³	semidirect
724. #8546	C₂³	semidirect
725. #8546	C₂³	semidirect
726. #8544	C₂³	semidirect
727. #8544	C₂³	semidirect
728. #8544	C₂³	semidirect
729. #8544	C₂³	semidirect
730. #8543	C₂³	semidirect
731. #8543	C₂³	semidirect
732. #8543	C₂³	semidirect
733. #8543	C₂³	semidirect
738. #8541	C₂³	semidirect
739. #8541	C₂³	semidirect
740. #8541	C₂³	semidirect
741. #8541	C₂³	semidirect
742. #8101	C₂³	semidirect
743. #8101	C₂³	semidirect
744. #8101	C₂³	semidirect
745. C₂×#1304	C₂³	semidirect
746. C₂×#1304	C₂³	semidirect
747. C₂×#1304	C₂³	semidirect
748. C₂⁷	C₂×D₄	semidirect
764. C₂×#536	C₂×D₄	semidirect
766. C₂×#535	C₂×D₄	semidirect
769. C₂×#534	C₂×D₄	semidirect
780. C₂²×#126	C₂×D₄	semidirect
781. C₂²×#124	C₂×D₄	semidirect
782. C₂²×#124	C₂×D₄	semidirect
783. C₂²×#124	C₂×D₄	semidirect
787. C₂²×#123	C₂×D₄	semidirect
790. C₂²×#121	C₂×D₄	semidirect
791. C₂²×#121	C₂×D₄	semidirect
792. C₂²×#121	C₂×D₄	semidirect
796. C₂²×#120	C₂×D₄	semidirect
797. C₂²×#120	C₂×D₄	semidirect
798. C₂²×#120	C₂×D₄	semidirect
799. C₂²×#120	C₂×D₄	semidirect
800. C₂²×#120	C₂×D₄	semidirect
810. C₂×#518	C₂×D₄	semidirect
816. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
817. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
818. #2854	C₂×D₄	semidirect
819. #2853	C₂×D₄	semidirect
820. #2853	C₂×D₄	semidirect
822. #2849	C₂×D₄	semidirect
823. #2849	C₂×D₄	semidirect
824. #2847	C₂×D₄	semidirect
827. #2846	C₂×D₄	semidirect
828. #2846	C₂×D₄	semidirect
829. #2846	C₂×D₄	semidirect
835. #2622	C₂×D₄	semidirect
836. #2622	C₂×D₄	semidirect
837. #2622	C₂×D₄	semidirect
838. #2622	C₂×D₄	semidirect
839. #2622	C₂×D₄	semidirect
840. #2618	C₂×D₄	semidirect
841. #2617	C₂×D₄	semidirect
842. #2614	C₂×D₄	semidirect
843. #2613	C₂×D₄	semidirect
844. #2613	C₂×D₄	semidirect
845. #2613	C₂×D₄	semidirect
846. #2539	C₂×D₄	semidirect
847. #2539	C₂×D₄	semidirect
848. #2534	C₂×D₄	semidirect
849. #2534	C₂×D₄	semidirect
850. #2504	C₂×D₄	semidirect
851. #2487	C₂×D₄	semidirect
857. #2482	C₂×D₄	semidirect
858. #2482	C₂×D₄	semidirect
859. #2436	C₂×D₄	semidirect
860. #2413	C₂×D₄	semidirect
861. #2412	C₂×D₄	semidirect
862. #2412	C₂×D₄	semidirect
863. #2412	C₂×D₄	semidirect
866. #2411	C₂×D₄	semidirect
867. #2411	C₂×D₄	semidirect
868. #2411	C₂×D₄	semidirect
871. #2410	C₂×D₄	semidirect
872. #2410	C₂×D₄	semidirect
873. #2410	C₂×D₄	semidirect
874. #2410	C₂×D₄	semidirect
875. #2410	C₂×D₄	semidirect
876. #2409	C₂×D₄	semidirect
877. #2406	C₂×D₄	semidirect
879. #2405	C₂×D₄	semidirect
880. #2405	C₂×D₄	semidirect
911. #2404	C₂×D₄	semidirect
913. #2403	C₂×D₄	semidirect
914. #2403	C₂×D₄	semidirect
942. #2342	C₂×D₄	semidirect
943. #2342	C₂×D₄	semidirect
944. D₄×C₂²⋊C₄	C₂×D₄	semidirect
945. D₄×C₂²⋊C₄	C₂×D₄	semidirect
946. #2322	C₂×D₄	semidirect
947. #2321	C₂×D₄	semidirect
948. #2315	C₂×D₄	semidirect
949. #2315	C₂×D₄	semidirect
971. #2308	C₂×D₄	semidirect
972. #2308	C₂×D₄	semidirect
973. #2308	C₂×D₄	semidirect
974. #2308	C₂×D₄	semidirect
990. C₄×#123	C₂×D₄	semidirect
991. C₄×#120	C₂×D₄	semidirect
992. #2297	C₂×D₄	semidirect
993. #2297	C₂×D₄	semidirect
994. #2280	C₂×D₄	semidirect
995. C₂×#379	C₂×D₄	semidirect
996. C₂×#379	C₂×D₄	semidirect
997. C₂×#379	C₂×D₄	semidirect
1102. C₂⁶	C₂²×D₄	semidirect
1108. C₂³×Q₈	C₂²×D₄	semidirect
1109. C₂³×Q₈	C₂²×D₄	semidirect
1126. C₂³×D₄	C₂²×D₄	semidirect
1127. C₂³×D₄	C₂²×D₄	semidirect
1144. C₂⁴×C₄	C₂²×D₄	semidirect
1145. C₂⁴×C₄	C₂²×D₄	semidirect
1158. C₂×#123	C₂²×D₄	semidirect
1159. C₂×#123	C₂²×D₄	semidirect
1189. C₂×#120	C₂²×D₄	semidirect
1190. C₂×#120	C₂²×D₄	semidirect
1197. C₂×#117	C₂²×D₄	semidirect
1198. C₂×#117	C₂²×D₄	semidirect
1199. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
1200. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
1201. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
1222. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1223. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1224. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1225. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1226. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1227. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1228. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1229. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1230. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
1237. C₂²×C₄²	C₂²×D₄	semidirect
1238. C₂²×C₄²	C₂²×D₄	semidirect
1239. C₂²×C₄²	C₂²×D₄	semidirect
1252. #386	C₂²×D₄	semidirect
1253. #386	C₂²×D₄	semidirect
1254. #386	C₂²×D₄	semidirect
1255. #386	C₂²×D₄	semidirect
1260. #385	C₂²×D₄	semidirect
1261. #385	C₂²×D₄	semidirect
1262. #385	C₂²×D₄	semidirect
1263. #385	C₂²×D₄	semidirect
1266. #381	C₂²×D₄	semidirect
1267. #381	C₂²×D₄	semidirect
1268. #381	C₂²×D₄	semidirect
1269. #381	C₂²×D₄	semidirect
1270. #380	C₂²×D₄	semidirect
1271. #380	C₂²×D₄	semidirect
1280. #379	C₂²×D₄	semidirect
1281. #379	C₂²×D₄	semidirect
1282. #379	C₂²×D₄	semidirect
1283. #379	C₂²×D₄	semidirect
1298. C₄×C₂²⋊C₄	C₂²×D₄	semidirect
1299. C₄×C₂²⋊C₄	C₂²×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72341119	2
#72341117	2
#72341111	2
#72341107	2
#72341100	2
#72341096	2
#72341088	2
#72341081	2
#72341077	2
#72341076	2
#72341075	2
#72341061	2
#72341030	2
#72341027	2
#72341023	2
#72340970	2
#72340384	2
#72340349	2
#72340345	2
#72340341	2
#72338901	2
#72311279	2
#72311103	2
#72311058	2
#72285852	2
#72285794	2
#72284546	2
#72241006	2
#72233065	2
#72225655	2
#72210439	2