Subgroups — #72317690

Order 1024.

At least 8846 conjugacy classes of subgroups; only the 3991 normal subgroups are shown.

The subgroup lattice has 1448 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10586476	C₂	1	1	yes	maximal, characteristic, complemented
2	#7631391	C₂	1	2	yes	maximal, complemented
3	#7631390	C₂	1	1	yes	maximal, characteristic, complemented
4	#6596187	C₂	1	2	yes	maximal, complemented
5	#6596186	C₂	1	2	yes	maximal, complemented
6	#6595776	C₂	1	2	yes	maximal, complemented
7	#6595773	C₂	1	2	yes	maximal, complemented
8	#6591504	C₂	1	2	yes	maximal, complemented
9	#6591501	C₂	1	2	yes	maximal, complemented
10	#6573713	C₂	1	2	yes	maximal, complemented
11	#6573710	C₂	1	2	yes	maximal, complemented
12	#6542241	C₂	1	4	yes	maximal, complemented
13	#6542238	C₂	1	4	yes	maximal, complemented
14	#6533139	C₂	1	4	yes	maximal, complemented
15	#6533136	C₂	1	4	yes	maximal, complemented
16	#6513007	C₂	1	4	yes	maximal, complemented
17	#6500012	C₂	1	4	yes	maximal, complemented
18	#6500011	C₂	1	2	yes	maximal, complemented
19	#6500010	C₂	1	2	yes	maximal, complemented
20	#6491482	C₂	1	2	yes	maximal, complemented
21	#6470230	C₂	1	2	yes	maximal, complemented
22	#6470226	C₂	1	1	yes	maximal, characteristic, complemented
23	#6470225	C₂	1	1	yes	maximal, characteristic, complemented
24	#6454872	C₂	1	2	yes	maximal, complemented
25	#6437994	C₂	1	2	yes	maximal, complemented
26	C₂×#24405	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#24404	C₂	1	1	yes	maximal, characteristic, complemented
28	#6393524	C₂	1	2	yes	maximal, complemented
29	C₂×#22405	C₂	1	1	yes	maximal, characteristic, complemented
30	#62990	C₂²	1	2	yes	—
31	#62990	C₂²	1	2	yes	complemented
32	#62987	C₂²	1	2	yes	—
33	#62987	C₂²	1	2	yes	complemented
34	#62900	C₂²	1	4	yes	—
35	#62900	C₂²	1	4	yes	complemented
36	#62820	C₂²	1	2	yes	complemented
37	#62818	C₂²	1	2	yes	complemented
38	#62817	C₂²	1	2	yes	—
39	#62811	C₂²	1	2	yes	complemented
40	#62773	C₂²	1	2	yes	complemented
41	C₂×#3490	C₂²	1	2	yes	—
42	C₂×#3484	C₂²	1	1	yes	characteristic
43	C₂×#3484	C₂²	1	1	yes	characteristic
44	C₂²×#546	C₂²	1	1	yes	characteristic
45	C₂²×#518	C₂²	1	1	yes	characteristic, complemented
46	C₂×#3025	C₂²	1	2	yes	complemented
47	C₂²×#458	C₂²	1	1	yes	characteristic, complemented
48	C₂²×B(4,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#410	C₂²	1	1	yes	characteristic, complemented
50	C₂³×#99	C₂²	1	1	yes	characteristic, complemented
51	#36341	C₂²	1	4	yes	complemented
52	#36340	C₂²	1	2	yes	complemented
53	#36340	C₂²	1	4	yes	complemented
54	#36340	C₂²	1	2	yes	complemented
55	#36317	C₂²	1	4	yes	complemented
56	#36316	C₂²	1	2	yes	complemented
57	#36316	C₂²	1	4	yes	complemented
58	#36316	C₂²	1	2	yes	complemented
59	#36159	C₂²	1	4	yes	complemented
60	#36158	C₂²	1	4	yes	complemented
61	#36099	C₂²	1	4	yes	complemented
62	#36099	C₂²	1	2	yes	complemented
63	#36099	C₂²	1	2	yes	complemented
64	#36098	C₂²	1	4	yes	complemented
65	#36098	C₂²	1	2	yes	complemented
66	#36098	C₂²	1	2	yes	complemented
67	#35077	C₂²	1	4	yes	complemented
68	#35076	C₂²	1	2	yes	complemented
69	#35063	C₂²	1	4	yes	complemented
70	#35062	C₂²	1	2	yes	complemented
71	#34992	C₂²	1	2	yes	complemented
72	#34992	C₂²	1	1	yes	characteristic, complemented
73	#34980	C₂²	1	2	yes	complemented
74	#34980	C₂²	1	1	yes	characteristic, complemented
75	#34957	C₂²	1	4	yes	complemented
76	#34956	C₂²	1	2	yes	complemented
77	#34737	C₂²	1	4	yes	complemented
78	#34736	C₂²	1	2	yes	complemented
79	C₂×#2412	C₂²	1	2	yes	complemented
80	C₂×#2405	C₂²	1	1	yes	characteristic, complemented
81	C₂×#2410	C₂²	1	2	yes	complemented
82	C₂×#2403	C₂²	1	1	yes	characteristic, complemented
83	#34176	C₂²	1	1	yes	characteristic, complemented
84	C₂×#2342	C₂²	1	2	yes	complemented
85	#33023	C₂²	1	2	yes	complemented
86	#33022	C₂²	1	2	yes	complemented
87	#33021	C₂²	1	2	yes	complemented
88	#33020	C₂²	1	2	yes	complemented
89	#32977	C₂²	1	2	yes	complemented
90	#32977	C₂²	1	2	yes	complemented
91	#32928	C₂²	1	2	yes	complemented
92	#32928	C₂²	1	2	yes	complemented
93	#32901	C₂²	1	2	yes	complemented
94	#32900	C₂²	1	2	yes	complemented
95	#32899	C₂²	1	2	yes	complemented
96	#32898	C₂²	1	2	yes	complemented
97	#29711	C₂²	1	4	yes	complemented
98	#29686	C₂²	1	4	yes	complemented
99	#29637	C₂²	1	4	yes	complemented
100	#29636	C₂²	1	4	yes	complemented
101	#29635	C₂²	1	4	yes	complemented
102	#29634	C₂²	1	4	yes	complemented
103	#25949	C₂²	1	2	yes	complemented
104	#25901	C₂²	1	2	yes	complemented
105	#25901	C₂²	1	4	yes	complemented
106	#25901	C₂²	1	4	yes	complemented
107	#25854	C₂²	1	2	yes	complemented
108	#25773	C₂²	1	2	yes	complemented
109	#25773	C₂²	1	4	yes	complemented
110	#25773	C₂²	1	4	yes	complemented
111	#25665	C₂²	1	4	yes	complemented
112	#25665	C₂²	1	4	yes	complemented
113	#25665	C₂²	1	4	yes	complemented
114	#25587	C₂²	1	4	yes	complemented
115	#25587	C₂²	1	4	yes	complemented
116	#25587	C₂²	1	4	yes	complemented
117	#25566	C₂²	1	4	yes	complemented
118	#25566	C₂²	1	4	yes	complemented
119	#25565	C₂²	1	4	yes	complemented
120	#25565	C₂²	1	4	yes	complemented
121	#25565	C₂²	1	4	yes	complemented
122	#25565	C₂²	1	4	yes	complemented
123	#25564	C₂²	1	4	yes	complemented
124	#25564	C₂²	1	4	yes	complemented
125	#25563	C₂²	1	4	yes	complemented
126	#25563	C₂²	1	4	yes	complemented
127	#25563	C₂²	1	4	yes	complemented
128	#25563	C₂²	1	4	yes	complemented
129	#24407	C₂²	1	2	yes	complemented
130	#24407	C₂²	1	2	yes	complemented
131	#24407	C₂²	1	4	yes	complemented
132	#24407	C₂²	1	4	yes	complemented
133	#24407	C₂²	1	4	yes	complemented
134	#24406	C₂²	1	2	yes	complemented
135	#24406	C₂²	1	2	yes	complemented
136	#24406	C₂²	1	4	yes	complemented
137	#24406	C₂²	1	4	yes	complemented
138	#24406	C₂²	1	4	yes	complemented
139	#24405	C₂²	1	2	yes	complemented
140	#24405	C₂²	1	2	yes	complemented
141	#24405	C₂²	1	2	yes	complemented
142	#24405	C₂²	1	2	yes	complemented
143	#24405	C₂²	1	2	yes	complemented
144	#24405	C₂²	1	2	yes	complemented
145	#24405	C₂²	1	4	yes	complemented
146	#24405	C₂²	1	4	yes	complemented
147	#24405	C₂²	1	4	yes	complemented
148	#24405	C₂²	1	4	yes	complemented
149	#24405	C₂²	1	4	yes	complemented
150	#24405	C₂²	1	4	yes	complemented
151	#24405	C₂²	1	4	yes	complemented
152	#24404	C₂²	1	2	yes	complemented
153	#24404	C₂²	1	2	yes	complemented
154	#24404	C₂²	1	2	yes	complemented
155	#24404	C₂²	1	2	yes	complemented
156	#24404	C₂²	1	2	yes	complemented
157	#24404	C₂²	1	2	yes	complemented
158	#24404	C₂²	1	4	yes	complemented
159	#24404	C₂²	1	4	yes	complemented
160	#24404	C₂²	1	4	yes	complemented
161	#24404	C₂²	1	4	yes	complemented
162	#24404	C₂²	1	4	yes	complemented
163	#24404	C₂²	1	4	yes	complemented
164	#24404	C₂²	1	4	yes	complemented
165	#24351	C₂²	1	2	yes	complemented
166	#24350	C₂²	1	2	yes	complemented
167	#24261	C₂²	1	2	yes	complemented
168	#24261	C₂²	1	4	yes	complemented
169	#24261	C₂²	1	4	yes	complemented
170	#24260	C₂²	1	2	yes	complemented
171	#24260	C₂²	1	4	yes	complemented
172	#24260	C₂²	1	4	yes	complemented
173	#24141	C₂²	1	4	yes	complemented
174	#24141	C₂²	1	4	yes	complemented
175	#24141	C₂²	1	4	yes	complemented
176	#24140	C₂²	1	4	yes	complemented
177	#24140	C₂²	1	4	yes	complemented
178	#24140	C₂²	1	4	yes	complemented
179	#24113	C₂²	1	4	yes	complemented
180	#24113	C₂²	1	4	yes	complemented
181	#24112	C₂²	1	4	yes	complemented
182	#24112	C₂²	1	4	yes	complemented
183	#24057	C₂²	1	2	yes	complemented
184	#24057	C₂²	1	2	yes	complemented
185	#24057	C₂²	1	4	yes	complemented
186	#24057	C₂²	1	4	yes	complemented
187	#24057	C₂²	1	4	yes	complemented
188	#24056	C₂²	1	2	yes	complemented
189	#24056	C₂²	1	2	yes	complemented
190	#24056	C₂²	1	2	yes	complemented
191	#24056	C₂²	1	2	yes	complemented
192	#24056	C₂²	1	4	yes	complemented
193	#24056	C₂²	1	4	yes	complemented
194	#23986	C₂²	1	4	yes	complemented
195	#23986	C₂²	1	4	yes	complemented
196	#23985	C₂²	1	4	yes	complemented
197	#23984	C₂²	1	4	yes	complemented
198	#23902	C₂²	1	2	yes	complemented
199	#23902	C₂²	1	2	yes	complemented
200	#23902	C₂²	1	4	yes	complemented
201	#23902	C₂²	1	4	yes	complemented
202	#23902	C₂²	1	4	yes	complemented
203	#23901	C₂²	1	2	yes	complemented
204	#23901	C₂²	1	2	yes	complemented
205	#23901	C₂²	1	4	yes	complemented
206	#23900	C₂²	1	2	yes	complemented
207	#23900	C₂²	1	2	yes	complemented
208	#23900	C₂²	1	4	yes	complemented
209	#23596	C₂²	1	4	yes	complemented
210	#23595	C₂²	1	4	yes	complemented
211	#23514	C₂²	1	4	yes	complemented
212	C₂×#2044	C₂²	1	2	yes	complemented
213	C₂×#2044	C₂²	1	2	yes	complemented
214	#23443	C₂²	1	4	yes	complemented
215	C₂×#2022	C₂²	1	2	yes	complemented
216	C₂×#2021	C₂²	1	2	yes	complemented
217	#22477	C₂²	1	4	yes	complemented
218	#22477	C₂²	1	4	yes	complemented
219	#22477	C₂²	1	4	yes	complemented
220	#22477	C₂²	1	4	yes	complemented
221	#22405	C₂²	1	2	yes	complemented
222	#22405	C₂²	1	2	yes	complemented
223	#22405	C₂²	1	2	yes	complemented
224	#22405	C₂²	1	2	yes	complemented
225	#22405	C₂²	1	4	yes	complemented
226	#22405	C₂²	1	4	yes	complemented
227	#22405	C₂²	1	4	yes	complemented
228	#22405	C₂²	1	4	yes	complemented
229	#22405	C₂²	1	4	yes	complemented
230	#22405	C₂²	1	4	yes	complemented
231	#21874	C₂²	1	4	yes	complemented
232	#21748	C₂²	1	4	yes	complemented
233	#21746	C₂²	1	2	yes	complemented
234	#21746	C₂²	1	2	yes	complemented
235	C₄×#458	C₂²	1	2	yes	complemented
236	C₄×#458	C₂²	1	2	yes	complemented
237	C₄×B(4,𝔽₂)	C₂²	1	2	yes	complemented
238	C₄×B(4,𝔽₂)	C₂²	1	2	yes	complemented
239	#21420	C₂²	1	4	yes	complemented
240	C₂×#1964	C₂²	1	2	yes	complemented
241	#20983	C₂²	1	4	yes	complemented
242	C₂×#1899	C₂²	1	2	yes	complemented
243	C₂×#1898	C₂²	1	2	yes	complemented
244	C₂×#1898	C₂²	1	2	yes	complemented
245	C₂×#1898	C₂²	1	2	yes	complemented
246	#20959	C₂²	1	2	yes	complemented
247	C₂×#1890	C₂²	1	1	yes	characteristic, complemented
248	C₂×#1889	C₂²	1	1	yes	characteristic, complemented
249	#20888	C₂²	1	2	yes	complemented
250	C₂×#1867	C₂²	1	1	yes	characteristic, complemented
251	C₂×#1867	C₂²	1	1	yes	characteristic, complemented
252	C₂×#1799	C₂²	1	1	yes	characteristic, complemented
253	#20608	C₂²	1	2	yes	complemented
254	C₂×#1790	C₂²	1	1	yes	characteristic, complemented
255	C₂×#1790	C₂²	1	1	yes	characteristic, complemented
256	C₂×#1782	C₂²	1	1	yes	characteristic, complemented
257	C₂×#1781	C₂²	1	1	yes	characteristic, complemented
258	C₂×C₄×#99	C₂²	1	1	yes	characteristic, complemented
259	C₂×#585	C₂³	1	2	yes	—
260	C₂²×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
261	C₂²×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
262	C₂³×#41	C₂³	1	1	yes	characteristic
263	C₂⁴×D₄	C₂³	1	1	yes	characteristic
264	C₂⁴×D₄	C₂³	1	1	yes	characteristic
265	#3505	C₂³	1	4	yes	—
266	#3505	C₂³	1	4	yes	—
267	#3505	C₂³	1	4	yes	—
268	#3501	C₂³	1	2	yes	—
269	#3496	C₂³	1	2	yes	—
270	#3496	C₂³	1	4	yes	—
271	#3496	C₂³	1	4	yes	—
272	#3491	C₂³	1	4	yes	—
273	#3491	C₂³	1	4	yes	—
274	#3490	C₂³	1	4	yes	—
275	#3490	C₂³	1	4	yes	—
276	#3490	C₂³	1	4	yes	—
277	#3485	C₂³	1	2	yes	—
278	#3485	C₂³	1	4	yes	—
279	#3485	C₂³	1	2	yes	—
280	#3485	C₂³	1	4	yes	—
281	#3485	C₂³	1	4	yes	—
282	#3484	C₂³	1	2	yes	—
283	#3484	C₂³	1	4	yes	—
284	#3484	C₂³	1	2	yes	—
285	#3484	C₂³	1	4	yes	—
286	#3484	C₂³	1	2	yes	—
287	#3484	C₂³	1	2	yes	—
288	#3484	C₂³	1	2	yes	—
289	#3484	C₂³	1	2	yes	—
290	#3484	C₂³	1	2	yes	—
291	#3484	C₂³	1	2	yes	—
292	#3484	C₂³	1	4	yes	—
293	C₂×#551	D₄	1	4	yes	complemented
294	C₂×#551	D₄	1	4	yes	complemented
295	C₂×#551	C₂³	1	4	yes	—
296	C₂×#551	C₂³	1	4	yes	—
297	C₂×#546	D₄	1	4	yes	complemented
298	C₂×#546	D₄	1	2	yes	complemented
299	C₂×#546	D₄	1	2	yes	complemented
300	C₂×#546	D₄	1	4	yes	complemented
301	C₂×#546	D₄	1	2	yes	complemented
302	C₂×#546	D₄	1	2	yes	complemented
303	C₂×#546	C₂³	1	2	yes	—
304	C₂×#546	C₂³	1	4	yes	—
305	C₂×#546	C₂³	1	2	yes	—
306	C₂×#546	C₂³	1	2	yes	—
307	C₂×#546	C₂³	1	4	yes	—
308	C₂×#546	C₂³	1	2	yes	—
309	#3459	C₂³	1	4	yes	—
310	C₂×#543	D₄	1	2	yes	complemented
311	C₂×#538	D₄	1	4	yes	complemented
312	C₂×#538	D₄	1	4	yes	complemented
313	#3449	C₂³	1	4	yes	—
314	C₂×#534	D₄	1	2	yes	complemented
315	C₂×#534	C₂³	1	2	yes	—
316	C₂×#534	C₂³	1	2	yes	—
317	C₂²×#124	D₄	1	1	yes	characteristic, complemented
318	C₂×#525	C₂³	1	4	yes	—
319	C₂×#525	C₂³	1	2	yes	—
320	C₂×#525	C₂³	1	4	yes	—
321	C₂×#525	C₂³	1	4	yes	complemented
322	C₂×#525	C₂³	1	2	yes	complemented
323	C₂²×#123	D₄	1	1	yes	characteristic, complemented
324	C₂²×#123	C₂³	1	1	yes	characteristic
325	C₂²×#123	C₂³	1	1	yes	characteristic
326	C₂²×#123	C₂³	1	1	yes	characteristic
327	C₂²×#123	C₂³	1	2	yes	complemented
328	C₂²×C₂²⋊Q₈	D₄	1	1	yes	characteristic, complemented
329	C₂²×#121	D₄	1	1	yes	characteristic, complemented
330	C₂²×#121	D₄	1	1	yes	characteristic, complemented
331	C₂²×#121	C₂³	1	1	yes	characteristic
332	C₂²×#120	D₄	1	1	yes	characteristic, complemented
333	C₂²×#120	C₂³	1	1	yes	characteristic
334	C₂²×#120	C₂³	1	1	yes	characteristic
335	C₂²×#120	C₂³	1	2	yes	—
336	C₂²×#120	C₂³	1	2	yes	—
337	C₂²×#120	C₂³	1	1	yes	characteristic
338	C₂²×#120	C₂³	1	2	yes	complemented
339	C₄×H(5,𝔽₂)	C₂³	1	2	yes	—
340	C₄×H(5,𝔽₂)	C₂³	1	2	yes	—
341	#3428	C₂³	1	2	yes	—
342	C₂×#518	D₄	1	2	yes	complemented
343	C₂×#518	D₄	1	2	yes	complemented
344	C₂×#518	C₂³	1	1	yes	characteristic
345	C₂×#518	C₂³	1	1	yes	characteristic
346	C₂²×C₄×D₄	D₄	1	1	yes	characteristic, complemented
347	C₂²×C₄×D₄	C₂³	1	1	yes	characteristic
348	C₂²×C₄×D₄	C₂³	1	2	yes	complemented
349	C₂²×C₄×D₄	C₂³	1	2	yes	complemented
350	C₂²×C₄×D₄	C₂³	1	2	yes	complemented
351	C₂²×C₄×D₄	C₂³	1	2	yes	complemented
352	C₂²×#117	C₂³	1	2	yes	complemented
353	C₂²×#117	C₂³	1	2	yes	complemented
354	C₂³×C₂²⋊C₄	D₄	1	1	yes	characteristic, complemented
355	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
357	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₂³×C₂²⋊C₄	C₂³	1	2	yes	complemented
359	C₂×#458	C₂³	1	2	yes	—
360	C₂×#458	C₂³	1	2	yes	—
361	C₂×#458	C₂³	1	2	yes	—
362	C₂×#458	C₂³	1	2	yes	—
363	C₂×#458	C₂³	1	4	yes	complemented
364	C₂×#458	C₂³	1	4	yes	complemented
365	C₂×#458	C₂³	1	4	yes	complemented
366	C₂×#458	C₂³	1	4	yes	complemented
367	C₂×B(4,𝔽₂)	C₂³	1	2	yes	—
368	C₂×B(4,𝔽₂)	C₂³	1	2	yes	—
369	C₂×B(4,𝔽₂)	C₂³	1	2	yes	—
370	C₂×B(4,𝔽₂)	C₂³	1	2	yes	—
371	C₂×B(4,𝔽₂)	C₂³	1	4	yes	complemented
372	C₂×B(4,𝔽₂)	C₂³	1	4	yes	complemented
373	C₂×B(4,𝔽₂)	C₂³	1	4	yes	complemented
374	C₂×B(4,𝔽₂)	C₂³	1	4	yes	complemented
375	C₂×#410	C₂³	1	2	yes	—
376	C₂×#410	C₂³	1	2	yes	—
377	C₂×#410	C₂³	1	4	yes	complemented
378	C₂×#410	C₂³	1	4	yes	complemented
379	C₂×#410	C₂³	1	4	yes	complemented
380	C₂²×#99	C₂³	1	1	yes	characteristic
381	C₂²×#99	C₂³	1	1	yes	characteristic
382	C₂²×#99	C₂³	1	1	yes	characteristic
383	C₂²×#99	C₂³	1	1	yes	characteristic
384	C₂²×#99	C₂³	1	1	yes	characteristic
385	C₂²×#99	C₂³	1	1	yes	characteristic
386	C₂²×#99	C₂³	1	2	yes	—
387	C₂²×#99	C₂³	1	1	yes	characteristic
388	C₂²×#99	C₂³	1	2	yes	—
389	C₂²×#99	C₂³	1	1	yes	characteristic
390	C₂²×#99	C₂³	1	2	yes	—
391	C₂²×#99	C₂³	1	2	yes	—
392	C₂²×#99	C₂³	1	2	yes	complemented
393	C₂²×#99	C₂³	1	2	yes	complemented
394	C₂²×#99	C₂³	1	2	yes	complemented
395	C₂²×#99	C₂³	1	2	yes	complemented
396	C₂²×#99	C₂³	1	2	yes	complemented
397	C₂²×#99	C₂³	1	2	yes	complemented
398	#2855	C₂³	1	4	yes	complemented
399	#2854	C₂³	1	2	yes	complemented
400	#2854	C₂³	1	2	yes	complemented
401	#2854	C₂³	1	4	yes	complemented
402	#2853	C₂³	1	2	yes	complemented
403	#2853	C₂³	1	2	yes	complemented
404	#2853	C₂³	1	4	yes	complemented
405	#2853	C₂³	1	4	yes	complemented
406	#2849	C₂³	1	4	yes	—
407	#2849	C₂³	1	4	yes	—
408	#2849	C₂³	1	4	yes	—
409	#2849	C₂³	1	2	yes	complemented
410	#2849	C₂³	1	2	yes	complemented
411	#2849	C₂³	1	2	yes	complemented
412	#2849	C₂³	1	2	yes	complemented
413	#2849	C₂³	1	4	yes	complemented
414	#2849	C₂³	1	2	yes	complemented
415	#2849	C₂³	1	4	yes	complemented
416	#2848	C₂³	1	4	yes	complemented
417	#2847	C₂³	1	2	yes	complemented
418	#2847	C₂³	1	2	yes	complemented
419	#2847	C₂³	1	4	yes	complemented
420	#2846	C₂³	1	4	yes	—
421	#2846	C₂³	1	2	yes	complemented
422	#2591	C₂³	1	2	yes	complemented
423	#2591	C₂³	1	2	yes	complemented
424	#2591	C₂³	1	4	yes	complemented
425	#2583	C₂³	1	4	yes	complemented
426	#2579	C₂³	1	2	yes	—
427	#2579	C₂³	1	4	yes	complemented
428	#2579	C₂³	1	4	yes	complemented
429	#2579	C₂³	1	2	yes	complemented
430	#2561	C₂³	1	4	yes	complemented
431	#2539	C₂³	1	2	yes	complemented
432	#2539	C₂³	1	2	yes	complemented
433	#2539	C₂³	1	4	yes	complemented
434	#2534	C₂³	1	2	yes	—
435	#2534	C₂³	1	2	yes	complemented
436	#2534	C₂³	1	4	yes	complemented
437	#2534	C₂³	1	4	yes	complemented
438	#2484	C₂³	1	4	yes	complemented
439	#2483	C₂³	1	4	yes	complemented
440	#2483	C₂³	1	2	yes	complemented
441	#2482	C₂³	1	4	yes	complemented
442	#2413	C₂³	1	4	yes	complemented
443	#2413	C₂³	1	2	yes	complemented
444	#2413	C₂³	1	2	yes	complemented
445	#2413	C₂³	1	4	yes	complemented
446	#2412	C₂³	1	4	yes	—
447	#2412	C₂³	1	4	yes	—
448	#2412	C₂³	1	2	yes	complemented
449	#2412	C₂³	1	2	yes	complemented
450	#2412	C₂³	1	4	yes	complemented
451	#2412	C₂³	1	4	yes	complemented
452	#2412	C₂³	1	4	yes	complemented
453	#2412	C₂³	1	4	yes	complemented
454	#2411	C₂³	1	4	yes	complemented
455	#2411	C₂³	1	2	yes	complemented
456	#2411	C₂³	1	2	yes	complemented
457	#2411	C₂³	1	4	yes	complemented
458	#2410	C₂³	1	4	yes	—
459	#2410	C₂³	1	4	yes	—
460	#2410	C₂³	1	2	yes	complemented
461	#2410	C₂³	1	2	yes	complemented
462	#2410	C₂³	1	4	yes	complemented
463	#2410	C₂³	1	4	yes	complemented
464	#2410	C₂³	1	4	yes	complemented
465	#2410	C₂³	1	4	yes	complemented
466	#2406	C₂³	1	2	yes	—
467	#2406	C₂³	1	4	yes	complemented
468	#2406	C₂³	1	2	yes	complemented
469	#2405	C₂³	1	2	yes	—
470	#2405	C₂³	1	2	yes	—
471	#2405	C₂³	1	2	yes	—
472	#2405	C₂³	1	2	yes	—
473	#2405	C₂³	1	4	yes	complemented
474	#2405	C₂³	1	2	yes	complemented
475	#2405	C₂³	1	4	yes	complemented
476	#2405	C₂³	1	2	yes	complemented
477	#2404	C₂³	1	2	yes	—
478	#2404	C₂³	1	4	yes	complemented
479	#2404	C₂³	1	2	yes	complemented
480	#2403	C₂³	1	2	yes	—
481	#2403	C₂³	1	2	yes	—
482	#2403	C₂³	1	2	yes	—
483	#2403	C₂³	1	2	yes	—
484	#2403	C₂³	1	4	yes	complemented
485	#2403	C₂³	1	2	yes	complemented
486	#2342	C₂³	1	4	yes	complemented
487	#2342	C₂³	1	2	yes	complemented
488	#2342	C₂³	1	2	yes	complemented
489	#2342	C₂³	1	4	yes	complemented
490	#2342	C₂³	1	2	yes	complemented
491	#2342	C₂³	1	2	yes	complemented
492	#2342	C₂³	1	4	yes	complemented
493	#2342	C₂³	1	4	yes	complemented
494	C₄×#123	C₂³	1	2	yes	—
495	C₄×#123	C₂³	1	2	yes	complemented
496	C₄×#123	C₂³	1	4	yes	complemented
497	C₄×#123	C₂³	1	4	yes	complemented
498	C₄×#120	C₂³	1	2	yes	—
499	C₄×#120	C₂³	1	2	yes	complemented
500	C₄×#120	C₂³	1	4	yes	complemented
501	C₄×#120	C₂³	1	4	yes	complemented
502	#2297	C₂³	1	2	yes	—
503	#2297	C₂³	1	4	yes	complemented
504	#2297	C₂³	1	2	yes	complemented
505	#2296	C₂³	1	4	yes	complemented
506	C₂×#386	C₂³	1	1	yes	characteristic
507	C₂×#386	C₂³	1	1	yes	characteristic
508	C₂×#386	C₂³	1	1	yes	characteristic
509	C₂×#386	C₂³	1	1	yes	characteristic
510	C₂×#386	C₂³	1	2	yes	complemented
511	C₂×#386	C₂³	1	2	yes	complemented
512	C₂×#385	C₂³	1	2	yes	complemented
513	C₂×#385	C₂³	1	2	yes	complemented
514	#2280	C₂³	1	2	yes	complemented
515	#2280	C₂³	1	4	yes	complemented
516	#2280	C₂³	1	2	yes	complemented
517	C₂×#381	C₂³	1	2	yes	complemented
518	C₂×#381	C₂³	1	2	yes	complemented
519	C₂×#380	C₂³	1	2	yes	complemented
520	C₂×#379	C₂³	1	2	yes	—
521	C₂×#379	C₂³	1	1	yes	characteristic
522	C₂×#379	C₂³	1	1	yes	characteristic
523	C₂×#379	C₂³	1	2	yes	complemented
524	C₂×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
525	#2062	C₂³	1	4	yes	complemented
526	#2062	C₂³	1	4	yes	complemented
527	#2062	C₂³	1	4	yes	complemented
528	#2062	C₂³	1	4	yes	complemented
529	#2044	C₂³	1	4	yes	—
530	#2044	C₂³	1	4	yes	—
531	#2044	C₂³	1	4	yes	—
532	#2044	C₂³	1	4	yes	—
533	#2044	C₂³	1	4	yes	—
534	#2044	C₂³	1	4	yes	—
535	#2044	C₂³	1	4	yes	—
536	#2044	C₂³	1	4	yes	—
537	#2044	C₂³	1	4	yes	complemented
538	#2044	C₂³	1	4	yes	complemented
539	#2044	C₂³	1	4	yes	complemented
540	#2044	C₂³	1	4	yes	complemented
541	#2044	C₂³	1	4	yes	complemented
542	#2044	C₂³	1	4	yes	complemented
543	#2044	C₂³	1	4	yes	complemented
544	#2044	C₂³	1	4	yes	complemented
545	#2044	C₂³	1	4	yes	complemented
546	#2044	C₂³	1	4	yes	complemented
547	#2044	C₂³	1	4	yes	complemented
548	#2044	C₂³	1	4	yes	complemented
549	#2044	C₂³	1	4	yes	complemented
550	#2044	C₂³	1	4	yes	complemented
551	#2044	C₂³	1	4	yes	complemented
552	#2044	C₂³	1	4	yes	complemented
553	#2044	C₂³	1	4	yes	complemented
554	#2044	C₂³	1	4	yes	complemented
555	#2044	C₂³	1	4	yes	complemented
556	#2044	C₂³	1	4	yes	complemented
557	#2030	C₂³	1	4	yes	complemented
558	#2030	C₂³	1	4	yes	complemented
559	#2029	C₂³	1	4	yes	complemented
560	#2029	C₂³	1	4	yes	complemented
561	#2022	C₂³	1	4	yes	—
562	#2022	C₂³	1	4	yes	—
563	#2022	C₂³	1	4	yes	—
564	#2022	C₂³	1	4	yes	—
565	#2022	C₂³	1	4	yes	complemented
566	#2022	C₂³	1	4	yes	complemented
567	#2022	C₂³	1	4	yes	complemented
568	#2022	C₂³	1	4	yes	complemented
569	#2022	C₂³	1	4	yes	complemented
570	#2022	C₂³	1	4	yes	complemented
571	#2022	C₂³	1	4	yes	complemented
572	#2022	C₂³	1	4	yes	complemented
573	#2022	C₂³	1	4	yes	complemented
574	#2022	C₂³	1	4	yes	complemented
575	#2021	C₂³	1	4	yes	—
576	#2021	C₂³	1	4	yes	—
577	#2021	C₂³	1	4	yes	—
578	#2021	C₂³	1	4	yes	—
579	#2021	C₂³	1	4	yes	complemented
580	#2021	C₂³	1	4	yes	complemented
581	#2021	C₂³	1	4	yes	complemented
582	#2021	C₂³	1	4	yes	complemented
583	#2021	C₂³	1	4	yes	complemented
584	#2021	C₂³	1	4	yes	complemented
585	#2021	C₂³	1	4	yes	complemented
586	#2021	C₂³	1	4	yes	complemented
587	#2021	C₂³	1	4	yes	complemented
588	#2021	C₂³	1	4	yes	complemented
589	#1996	C₂³	1	4	yes	complemented
590	#1996	C₂³	1	4	yes	complemented
591	#1996	C₂³	1	4	yes	complemented
592	#1996	C₂³	1	4	yes	complemented
593	#1964	C₂³	1	4	yes	complemented
594	#1964	C₂³	1	4	yes	complemented
595	#1964	C₂³	1	4	yes	complemented
596	#1964	C₂³	1	4	yes	complemented
597	#1964	C₂³	1	4	yes	complemented
598	#1964	C₂³	1	4	yes	complemented
599	#1964	C₂³	1	4	yes	complemented
600	#1964	C₂³	1	4	yes	complemented
601	#1899	C₂³	1	4	yes	complemented
602	#1899	C₂³	1	4	yes	complemented
603	#1899	C₂³	1	4	yes	complemented
604	#1899	C₂³	1	4	yes	complemented
605	#1899	C₂³	1	4	yes	complemented
606	#1899	C₂³	1	4	yes	complemented
607	#1899	C₂³	1	4	yes	complemented
608	#1899	C₂³	1	4	yes	complemented
609	#1899	C₂³	1	4	yes	complemented
610	#1899	C₂³	1	4	yes	complemented
611	#1899	C₂³	1	4	yes	complemented
612	#1899	C₂³	1	4	yes	complemented
613	#1898	C₂³	1	4	yes	—
614	#1898	C₂³	1	4	yes	—
615	#1898	C₂³	1	4	yes	—
616	#1898	C₂³	1	4	yes	—
617	#1898	C₂³	1	4	yes	—
618	#1898	C₂³	1	4	yes	—
619	#1898	C₂³	1	4	yes	—
620	#1898	C₂³	1	4	yes	—
621	#1898	C₂³	1	4	yes	complemented
622	#1898	C₂³	1	4	yes	complemented
623	#1898	C₂³	1	4	yes	complemented
624	#1898	C₂³	1	4	yes	complemented
625	#1898	C₂³	1	4	yes	complemented
626	#1898	C₂³	1	4	yes	complemented
627	#1898	C₂³	1	4	yes	complemented
628	#1898	C₂³	1	4	yes	complemented
629	#1898	C₂³	1	4	yes	complemented
630	#1898	C₂³	1	4	yes	complemented
631	#1898	C₂³	1	4	yes	complemented
632	#1898	C₂³	1	4	yes	complemented
633	#1890	C₂³	1	2	yes	—
634	#1890	C₂³	1	2	yes	—
635	#1890	C₂³	1	2	yes	—
636	#1890	C₂³	1	2	yes	—
637	#1890	C₂³	1	4	yes	complemented
638	#1890	C₂³	1	4	yes	complemented
639	#1890	C₂³	1	4	yes	complemented
640	#1890	C₂³	1	4	yes	complemented
641	#1890	C₂³	1	4	yes	complemented
642	#1890	C₂³	1	4	yes	complemented
643	#1890	C₂³	1	4	yes	complemented
644	#1890	C₂³	1	4	yes	complemented
645	#1889	C₂³	1	2	yes	—
646	#1889	C₂³	1	2	yes	—
647	#1889	C₂³	1	2	yes	—
648	#1889	C₂³	1	2	yes	—
649	#1889	C₂³	1	4	yes	complemented
650	#1889	C₂³	1	4	yes	complemented
651	#1889	C₂³	1	4	yes	complemented
652	#1889	C₂³	1	4	yes	complemented
653	#1889	C₂³	1	4	yes	complemented
654	#1889	C₂³	1	4	yes	complemented
655	#1889	C₂³	1	4	yes	complemented
656	#1889	C₂³	1	4	yes	complemented
657	#1867	C₂³	1	2	yes	—
658	#1867	C₂³	1	2	yes	—
659	#1867	C₂³	1	2	yes	—
660	#1867	C₂³	1	2	yes	—
661	#1867	C₂³	1	2	yes	—
662	#1867	C₂³	1	2	yes	—
663	#1867	C₂³	1	2	yes	—
664	#1867	C₂³	1	2	yes	—
665	#1867	C₂³	1	4	yes	complemented
666	#1867	C₂³	1	4	yes	complemented
667	#1867	C₂³	1	4	yes	complemented
668	#1867	C₂³	1	4	yes	complemented
669	#1867	C₂³	1	4	yes	complemented
670	#1867	C₂³	1	4	yes	complemented
671	#1867	C₂³	1	4	yes	complemented
672	#1867	C₂³	1	4	yes	complemented
673	#1867	C₂³	1	4	yes	complemented
674	#1867	C₂³	1	4	yes	complemented
675	#1867	C₂³	1	4	yes	complemented
676	#1867	C₂³	1	4	yes	complemented
677	#1867	C₂³	1	4	yes	complemented
678	#1867	C₂³	1	4	yes	complemented
679	#1867	C₂³	1	4	yes	complemented
680	#1867	C₂³	1	4	yes	complemented
681	#1820	C₂³	1	4	yes	complemented
682	#1820	C₂³	1	4	yes	complemented
683	#1819	C₂³	1	4	yes	complemented
684	#1819	C₂³	1	4	yes	complemented
685	#1799	C₂³	1	2	yes	—
686	#1799	C₂³	1	2	yes	—
687	#1799	C₂³	1	4	yes	complemented
688	#1799	C₂³	1	4	yes	complemented
689	#1799	C₂³	1	4	yes	complemented
690	#1799	C₂³	1	4	yes	complemented
691	#1799	C₂³	1	4	yes	complemented
692	#1790	C₂³	1	2	yes	—
693	#1790	C₂³	1	2	yes	—
694	#1790	C₂³	1	2	yes	—
695	#1790	C₂³	1	2	yes	—
696	#1790	C₂³	1	2	yes	—
697	#1790	C₂³	1	2	yes	—
698	#1790	C₂³	1	2	yes	—
699	#1790	C₂³	1	2	yes	—
700	#1790	C₂³	1	4	yes	complemented
701	#1790	C₂³	1	4	yes	complemented
702	#1790	C₂³	1	4	yes	complemented
703	#1790	C₂³	1	4	yes	complemented
704	#1790	C₂³	1	4	yes	complemented
705	#1790	C₂³	1	4	yes	complemented
706	#1790	C₂³	1	4	yes	complemented
707	#1790	C₂³	1	4	yes	complemented
708	#1782	C₂³	1	2	yes	—
709	#1782	C₂³	1	2	yes	—
710	#1782	C₂³	1	4	yes	complemented
711	#1782	C₂³	1	4	yes	complemented
712	#1782	C₂³	1	4	yes	complemented
713	#1781	C₂³	1	2	yes	—
714	#1781	C₂³	1	2	yes	—
715	#1781	C₂³	1	2	yes	—
716	#1781	C₂³	1	2	yes	—
717	#1781	C₂³	1	4	yes	complemented
718	#1781	C₂³	1	4	yes	complemented
719	C₄×#99	C₂³	1	2	yes	—
720	C₄×#99	C₂³	1	2	yes	—
721	C₄×#99	C₂³	1	4	yes	complemented
722	C₄×#99	C₂³	1	4	yes	complemented
723	C₄×#99	C₂³	1	4	yes	complemented
724	C₄×#99	C₂³	1	4	yes	complemented
725	C₄×#99	C₂³	1	4	yes	complemented
726	#1740	C₂³	1	4	yes	complemented
727	#1740	C₂³	1	4	yes	complemented
728	C₂×#342	C₂³	1	2	yes	complemented
729	C₂×#342	C₂³	1	2	yes	complemented
730	C₂×#342	C₂³	1	2	yes	complemented
731	C₂×#342	C₂³	1	2	yes	complemented
732	C₂×#342	C₂³	1	2	yes	complemented
733	C₂×#342	C₂³	1	2	yes	complemented
734	C₂⁶	C₂×D₄	1	1	yes	characteristic
735	C₂⁶	C₂⁴	1	1	yes	characteristic
736	C₂⁶	C₂⁴	1	1	yes	characteristic
737	C₂×H(5,𝔽₂)	C₂⁴	1	2	yes	—
738	C₂×H(5,𝔽₂)	C₂⁴	1	2	yes	—
739	C₂×H(5,𝔽₂)	C₂⁴	1	2	yes	—
740	C₂×H(5,𝔽₂)	C₂⁴	1	2	yes	—
741	C₂×H(5,𝔽₂)	C₂⁴	1	4	yes	—
742	C₂²×#41	C₂×D₄	1	2	yes	complemented
743	C₂²×#41	C₂×D₄	1	2	yes	complemented
744	C₂²×#41	C₂×D₄	1	4	yes	complemented
745	C₂²×#41	C₂⁴	1	2	yes	—
746	C₂²×#41	C₂⁴	1	2	yes	—
747	C₂²×#41	C₂⁴	1	4	yes	—
748	C₂³×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
749	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
750	C₂³×D₄	C₂×D₄	1	2	yes	—
751	C₂³×D₄	C₂×D₄	1	2	yes	—
752	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
753	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
754	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
755	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
756	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
757	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
758	C₂³×D₄	C₂×D₄	1	2	yes	—
759	C₂³×D₄	C₂×D₄	1	2	yes	—
760	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
761	C₂³×D₄	C₂×D₄	1	1	yes	characteristic, complemented
762	C₂³×D₄	C₂×D₄	1	1	yes	characteristic, complemented
763	C₂³×D₄	C₂⁴	1	1	yes	characteristic
764	C₂³×D₄	C₂⁴	1	1	yes	characteristic
765	C₂³×D₄	C₂⁴	1	1	yes	characteristic
766	C₂³×D₄	C₂⁴	1	1	yes	characteristic
767	C₂³×D₄	C₂⁴	1	1	yes	characteristic
768	C₂³×D₄	C₂⁴	1	1	yes	characteristic
769	C₂³×D₄	C₂⁴	1	1	yes	characteristic
770	C₂³×D₄	C₂⁴	1	2	yes	—
771	C₂³×D₄	C₂⁴	1	2	yes	—
772	C₂³×D₄	C₂⁴	1	2	yes	—
773	C₂³×D₄	C₂⁴	1	2	yes	—
774	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic
775	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic, complemented
776	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic, complemented
777	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic, complemented
778	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
779	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
780	C₂⁴×C₄	C₂⁴	1	2	yes	—
781	C₂⁴×C₄	C₂⁴	1	2	yes	—
782	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
783	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
784	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
785	#543	C₂⁴	1	4	yes	—
786	#534	C₂⁴	1	4	yes	—
787	#534	C₂⁴	1	4	yes	—
788	#534	C₂⁴	1	4	yes	—
789	#534	C₂⁴	1	4	yes	—
790	#534	C₂⁴	1	4	yes	—
791	#534	C₂⁴	1	4	yes	—
792	#534	C₂⁴	1	4	yes	—
793	C₂×#126	C₂×D₄	1	4	yes	—
794	C₂×#126	C₂×D₄	1	4	yes	—
795	C₂×#126	C₂×D₄	1	4	yes	complemented
796	C₂×#126	C₂×D₄	1	4	yes	complemented
797	C₂×#124	C₂×D₄	1	2	yes	—
798	C₂×#124	C₂×D₄	1	2	yes	—
799	C₂×#124	C₂×D₄	1	4	yes	—
800	C₂×#124	C₂×D₄	1	4	yes	—
801	C₂×#124	C₂×D₄	1	2	yes	complemented
802	C₂×#124	C₂×D₄	1	2	yes	complemented
803	C₂×#124	C₂×D₄	1	4	yes	complemented
804	C₂×#124	C₂×D₄	1	4	yes	complemented
805	C₂×#123	C₂×D₄	1	2	yes	—
806	C₂×#123	C₂×D₄	1	2	yes	—
807	C₂×#123	C₂×D₄	1	4	yes	—
808	C₂×#123	C₂×D₄	1	4	yes	—
809	C₂×#123	C₂×D₄	1	4	yes	—
810	C₂×#123	C₂×D₄	1	2	yes	complemented
811	C₂×#123	C₂×D₄	1	2	yes	complemented
812	C₂×#123	C₂×D₄	1	4	yes	complemented
813	C₂×#123	C₂×D₄	1	4	yes	complemented
814	C₂×#123	C₂×D₄	1	2	yes	complemented
815	C₂×#123	C₂×D₄	1	2	yes	complemented
816	C₂×#123	C₂×D₄	1	4	yes	complemented
817	C₂×#123	C₂×D₄	1	4	yes	complemented
818	C₂×#123	C₂×D₄	1	4	yes	complemented
819	C₂×#123	C₂⁴	1	2	yes	—
820	C₂×#123	C₂⁴	1	4	yes	—
821	C₂×#123	C₂⁴	1	4	yes	—
822	C₂×#123	C₂⁴	1	4	yes	—
823	C₂×#123	C₂⁴	1	2	yes	—
824	C₂×#123	C₂⁴	1	2	yes	—
825	C₂×#123	C₂⁴	1	2	yes	—
826	C₂×#123	C₂⁴	1	2	yes	—
827	C₂×#123	C₂⁴	1	4	yes	—
828	C₂×#123	C₂⁴	1	2	yes	—
829	C₂×#123	C₂⁴	1	2	yes	—
830	C₂×#123	C₂⁴	1	2	yes	—
831	C₂×#123	C₂⁴	1	4	yes	—
832	C₂×#123	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
834	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
835	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	—
836	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	—
837	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
838	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
839	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
840	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
841	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
842	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
843	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
844	C₂×C₂²⋊Q₈	C₂⁴	1	4	yes	—
845	C₂×#121	C₂×D₄	1	2	yes	—
846	C₂×#121	C₂×D₄	1	2	yes	—
847	C₂×#121	C₂×D₄	1	2	yes	—
848	C₂×#121	C₂×D₄	1	2	yes	—
849	C₂×#121	C₂×D₄	1	4	yes	—
850	C₂×#121	C₂×D₄	1	4	yes	—
851	C₂×#121	C₂×D₄	1	2	yes	complemented
852	C₂×#121	C₂×D₄	1	2	yes	complemented
853	C₂×#121	C₂×D₄	1	4	yes	complemented
854	C₂×#121	C₂×D₄	1	2	yes	complemented
855	C₂×#121	C₂×D₄	1	2	yes	complemented
856	C₂×#121	C₂×D₄	1	2	yes	complemented
857	C₂×#121	C₂×D₄	1	2	yes	complemented
858	C₂×#121	C₂×D₄	1	4	yes	complemented
859	C₂×#121	C₂×D₄	1	4	yes	complemented
860	C₂×#121	C₂×D₄	1	4	yes	complemented
861	C₂×#121	C₂×D₄	1	4	yes	complemented
862	C₂×#121	C₂⁴	1	2	yes	—
863	C₂×#121	C₂⁴	1	2	yes	—
864	C₂×#121	C₂⁴	1	4	yes	—
865	C₂×#120	C₂×D₄	1	2	yes	—
866	C₂×#120	C₂×D₄	1	4	yes	—
867	C₂×#120	C₂×D₄	1	2	yes	—
868	C₂×#120	C₂×D₄	1	4	yes	—
869	C₂×#120	C₂×D₄	1	2	yes	—
870	C₂×#120	C₂×D₄	1	2	yes	—
871	C₂×#120	C₂×D₄	1	4	yes	—
872	C₂×#120	C₂×D₄	1	4	yes	—
873	C₂×#120	C₂×D₄	1	4	yes	—
874	C₂×#120	C₂×D₄	1	2	yes	complemented
875	C₂×#120	C₂×D₄	1	2	yes	complemented
876	C₂×#120	C₂×D₄	1	4	yes	complemented
877	C₂×#120	C₂⁴	1	2	yes	—
878	C₂×#120	C₂⁴	1	4	yes	—
879	C₂×#120	C₂⁴	1	4	yes	—
880	C₂×#120	C₂⁴	1	4	yes	—
881	C₂×#120	C₂⁴	1	2	yes	—
882	C₂×#120	C₂⁴	1	2	yes	—
883	C₂×#120	C₂⁴	1	2	yes	—
884	C₂×#120	C₂⁴	1	2	yes	—
885	C₂×#120	C₂⁴	1	4	yes	—
886	C₂×#120	C₂⁴	1	2	yes	—
887	C₂×#120	C₂⁴	1	4	yes	—
888	C₂×#120	C₂⁴	1	2	yes	—
889	C₂×#120	C₂⁴	1	4	yes	—
890	C₂×#120	C₂⁴	1	2	yes	—
891	C₂×#120	C₂⁴	1	4	yes	—
892	C₂×#120	C₂⁴	1	4	yes	—
893	#518	C₂⁴	1	2	yes	—
894	#518	C₂⁴	1	2	yes	—
895	#518	C₂⁴	1	2	yes	—
896	#518	C₂⁴	1	2	yes	—
897	#518	C₂⁴	1	4	yes	—
898	#518	C₂⁴	1	4	yes	—
899	#518	C₂⁴	1	4	yes	—
900	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
901	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
902	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
903	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
904	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
905	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
906	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
907	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
908	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
909	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
910	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
911	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
912	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
913	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
914	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
915	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
916	C₂×C₄×D₄	C₂⁴	1	2	yes	—
917	C₂×C₄×D₄	C₂⁴	1	2	yes	—
918	C₂×C₄×D₄	C₂⁴	1	4	yes	—
919	C₂×C₄×D₄	C₂⁴	1	4	yes	—
920	C₂×#117	C₂×D₄	1	4	yes	—
921	C₂×#117	C₂×D₄	1	4	yes	complemented
922	C₂×#117	C₂×D₄	1	4	yes	complemented
923	C₂×#117	C₂⁴	1	4	yes	—
924	C₂×#117	C₂⁴	1	4	yes	—
925	C₂×#117	C₂⁴	1	2	yes	—
926	C₂×#117	C₂⁴	1	2	yes	—
927	C₂×#117	C₂⁴	1	4	yes	—
928	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
929	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
930	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
931	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
932	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
933	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
934	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
935	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
936	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
937	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
938	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
939	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
940	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
941	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
942	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
943	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
944	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
945	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
946	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
947	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
948	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
949	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
950	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
951	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
952	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
953	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
954	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
955	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
956	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
957	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
958	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
959	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
960	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
961	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
962	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
963	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
964	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
965	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
966	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
967	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
968	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
969	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
970	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
971	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
972	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
973	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
974	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
975	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
976	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
977	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
978	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
979	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
980	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
981	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
982	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
983	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
984	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic, complemented
985	C₂²×C₄²	C₂⁴	1	2	yes	—
986	C₂²×C₄²	C₂⁴	1	2	yes	—
987	C₂×#99	C₂⁴	1	1	yes	characteristic
988	C₂×#99	C₂⁴	1	1	yes	characteristic
989	C₂×#99	C₂⁴	1	2	yes	—
990	C₂×#99	C₂⁴	1	1	yes	characteristic
991	C₂×#99	C₂⁴	1	2	yes	—
992	C₂×#99	C₂⁴	1	2	yes	—
993	C₂×#99	C₂⁴	1	2	yes	—
994	C₂×#99	C₂⁴	1	2	yes	—
995	C₂×#99	C₂⁴	1	4	yes	—
996	C₂×#99	C₂⁴	1	4	yes	—
997	C₂×#99	C₂⁴	1	4	yes	—
998	C₂×#99	C₂⁴	1	2	yes	—
999	C₂×#99	C₂⁴	1	2	yes	—
1000	C₂×#99	C₂⁴	1	4	yes	—
1001	C₂×#99	C₂⁴	1	4	yes	—
1002	C₂×#99	C₂⁴	1	4	yes	—
1003	C₂×#99	C₂⁴	1	4	yes	—
1004	C₂×#99	C₂⁴	1	4	yes	—
1005	C₂×#99	C₂⁴	1	4	yes	—
1006	C₂×#99	C₂⁴	1	4	yes	—
1007	C₂×#99	C₂⁴	1	4	yes	—
1008	C₂×#99	C₂⁴	1	2	yes	—
1009	C₂×#99	C₂⁴	1	2	yes	—
1010	C₂×#99	C₂⁴	1	4	yes	—
1011	C₂×#99	C₂⁴	1	4	yes	—
1012	C₂×#99	C₂⁴	1	2	yes	—
1013	C₂×#99	C₂⁴	1	4	yes	—
1014	C₂×#99	C₂⁴	1	4	yes	—
1015	C₂×#99	C₂⁴	1	4	yes	—
1016	C₂×#99	C₂⁴	1	4	yes	—
1017	C₂×#99	C₂⁴	1	4	yes	—
1018	C₂×#99	C₂⁴	1	4	yes	—
1019	C₂×#99	C₂⁴	1	4	yes	—
1020	C₂×#99	C₂⁴	1	4	yes	—
1021	C₂×#99	C₂⁴	1	4	yes	—
1022	C₂×#99	C₂⁴	1	1	yes	characteristic
1023	#386	C₂⁴	1	2	yes	—
1024	#386	C₂⁴	1	2	yes	—
1025	#386	C₂⁴	1	4	yes	—
1026	#386	C₂⁴	1	4	yes	—
1027	#386	C₂⁴	1	4	yes	—
1028	#386	C₂⁴	1	4	yes	—
1029	#386	C₂⁴	1	2	yes	—
1030	#386	C₂⁴	1	2	yes	—
1031	#386	C₂⁴	1	2	yes	—
1032	#386	C₂⁴	1	2	yes	—
1033	#386	C₂⁴	1	2	yes	—
1034	#386	C₂⁴	1	2	yes	—
1035	#386	C₂⁴	1	4	yes	—
1036	#386	C₂⁴	1	4	yes	—
1037	#386	C₂⁴	1	2	yes	—
1038	#386	C₂⁴	1	2	yes	—
1039	#386	C₂⁴	1	2	yes	—
1040	#386	C₂⁴	1	2	yes	—
1041	#386	C₂⁴	1	4	yes	—
1042	#386	C₂⁴	1	4	yes	—
1043	#385	C₂⁴	1	2	yes	—
1044	#385	C₂⁴	1	2	yes	—
1045	#385	C₂⁴	1	2	yes	—
1046	#385	C₂⁴	1	2	yes	—
1047	#385	C₂⁴	1	4	yes	—
1048	#385	C₂⁴	1	4	yes	—
1049	#385	C₂⁴	1	4	yes	—
1050	#385	C₂⁴	1	4	yes	—
1051	#385	C₂⁴	1	4	yes	—
1052	#385	C₂⁴	1	4	yes	—
1053	#385	C₂⁴	1	4	yes	—
1054	#385	C₂⁴	1	4	yes	—
1055	#381	C₂⁴	1	4	yes	—
1056	#381	C₂⁴	1	4	yes	—
1057	#381	C₂⁴	1	2	yes	—
1058	#381	C₂⁴	1	2	yes	—
1059	#381	C₂⁴	1	4	yes	—
1060	#381	C₂⁴	1	4	yes	—
1061	#381	C₂⁴	1	4	yes	—
1062	#381	C₂⁴	1	2	yes	—
1063	#381	C₂⁴	1	2	yes	—
1064	#381	C₂⁴	1	4	yes	—
1065	#380	C₂⁴	1	4	yes	—
1066	#380	C₂⁴	1	4	yes	—
1067	#380	C₂⁴	1	2	yes	—
1068	#380	C₂⁴	1	2	yes	—
1069	#379	C₂⁴	1	4	yes	—
1070	#379	C₂⁴	1	4	yes	—
1071	#379	C₂⁴	1	2	yes	—
1072	#379	C₂⁴	1	2	yes	—
1073	#379	C₂⁴	1	4	yes	—
1074	#379	C₂⁴	1	4	yes	—
1075	#379	C₂⁴	1	4	yes	—
1076	#379	C₂⁴	1	2	yes	—
1077	#379	C₂⁴	1	2	yes	—
1078	#379	C₂⁴	1	4	yes	—
1079	#379	C₂⁴	1	2	yes	—
1080	#379	C₂⁴	1	2	yes	—
1081	C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
1082	C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
1083	C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
1084	C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
1085	#342	C₂⁴	1	4	yes	—
1086	#342	C₂⁴	1	4	yes	—
1087	#342	C₂⁴	1	4	yes	—
1088	#342	C₂⁴	1	4	yes	—
1089	#342	C₂⁴	1	4	yes	—
1090	#342	C₂⁴	1	4	yes	—
1091	#342	C₂⁴	1	4	yes	—
1092	#342	C₂⁴	1	4	yes	—
1093	#342	C₂⁴	1	4	yes	—
1094	#342	C₂⁴	1	4	yes	—
1095	#342	C₂⁴	1	4	yes	—
1096	#342	C₂⁴	1	4	yes	—
1097	#342	C₂⁴	1	4	yes	—
1098	#342	C₂⁴	1	4	yes	—
1099	#342	C₂⁴	1	4	yes	—
1100	#342	C₂⁴	1	4	yes	—
1101	#342	C₂⁴	1	4	yes	—
1102	#342	C₂⁴	1	4	yes	—
1103	#342	C₂⁴	1	4	yes	—
1104	#342	C₂⁴	1	4	yes	—
1105	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1106	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1107	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1108	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1109	C₂⁵	C₂²×D₄	1	2	yes	—
1110	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1111	C₂⁵	C₂²×D₄	1	2	yes	—
1112	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1113	C₂⁵	C₂²×D₄	1	2	yes	—
1114	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1115	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1116	C₂⁵	C₂²×D₄	1	2	yes	—
1117	C₂⁵	C₂²×D₄	1	2	yes	—
1118	C₂⁵	C₂²×D₄	1	2	yes	—
1119	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1120	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1121	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1122	C₂⁵	C₂⁵	1	2	yes	—
1123	C₂⁵	C₂⁵	1	1	yes	characteristic
1124	C₂⁵	C₂⁵	1	1	yes	characteristic
1125	C₂⁵	C₂⁵	1	1	yes	characteristic
1126	C₂²×Q₈	C₂²×D₄	1	2	yes	—
1127	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1128	C₂²×Q₈	C₂²×D₄	1	2	yes	—
1129	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1130	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1131	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1132	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1133	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1134	C₂²×D₄	C₂²×D₄	1	2	yes	—
1135	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1136	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1137	C₂²×D₄	C₂²×D₄	1	2	yes	—
1138	C₂²×D₄	C₂²×D₄	1	4	yes	—
1139	C₂²×D₄	C₂²×D₄	1	2	yes	—
1140	C₂²×D₄	C₂²×D₄	1	4	yes	—
1141	C₂²×D₄	C₂²×D₄	1	4	yes	—
1142	C₂²×D₄	C₂²×D₄	1	4	yes	—
1143	C₂²×D₄	C₂²×D₄	1	4	yes	—
1144	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1145	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1146	C₂²×D₄	C₂²×D₄	1	4	yes	—
1147	C₂²×D₄	C₂²×D₄	1	2	yes	—
1148	C₂²×D₄	C₂²×D₄	1	4	yes	—
1149	C₂²×D₄	C₂²×D₄	1	2	yes	—
1150	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1151	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1152	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1153	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
1154	C₂²×D₄	C₂²×D₄	1	4	yes	—
1155	C₂²×D₄	C₂²×D₄	1	4	yes	—
1156	C₂²×D₄	C₂²×D₄	1	2	yes	—
1157	C₂²×D₄	C₂²×D₄	1	4	yes	—
1158	C₂²×D₄	C₂²×D₄	1	4	yes	—
1159	C₂²×D₄	C₂²×D₄	1	2	yes	—
1160	C₂²×D₄	C₂²×D₄	1	2	yes	—
1161	C₂²×D₄	C₂²×D₄	1	2	yes	—
1162	C₂²×D₄	C₂²×D₄	1	4	yes	—
1163	C₂²×D₄	C₂⁵	1	1	yes	characteristic
1164	C₂²×D₄	C₂⁵	1	4	yes	—
1165	C₂²×D₄	C₂⁵	1	4	yes	—
1166	C₂²×D₄	C₂⁵	1	2	yes	—
1167	C₂²×D₄	C₂⁵	1	1	yes	characteristic
1168	C₂²×D₄	C₂⁵	1	1	yes	characteristic
1169	C₂²×D₄	C₂⁵	1	1	yes	characteristic
1170	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1171	C₂³×C₄	C₂²×D₄	1	2	yes	—
1172	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1173	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1174	C₂³×C₄	C₂²×D₄	1	2	yes	—
1175	C₂³×C₄	C₂²×D₄	1	2	yes	—
1176	C₂³×C₄	C₂²×D₄	1	2	yes	—
1177	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1178	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1179	C₂³×C₄	C₂²×D₄	1	2	yes	—
1180	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1181	C₂³×C₄	C₂²×D₄	1	2	yes	—
1182	C₂³×C₄	C₂²×D₄	1	2	yes	—
1183	C₂³×C₄	C₂²×D₄	1	4	yes	—
1184	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1185	C₂³×C₄	C₂²×D₄	1	4	yes	—
1186	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1187	C₂³×C₄	C₂²×D₄	1	2	yes	—
1188	C₂³×C₄	C₂²×D₄	1	2	yes	—
1189	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1190	C₂³×C₄	C₂²×D₄	1	2	yes	—
1191	C₂³×C₄	C₂²×D₄	1	2	yes	—
1192	C₂³×C₄	C₂²×D₄	1	2	yes	—
1193	C₂³×C₄	C₂²×D₄	1	4	yes	—
1194	C₂³×C₄	C₂²×D₄	1	4	yes	—
1195	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1196	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1197	C₂³×C₄	C₂²×D₄	1	2	yes	—
1198	C₂³×C₄	C₂²×D₄	1	4	yes	—
1199	C₂³×C₄	C₂²×D₄	1	2	yes	—
1200	C₂³×C₄	C₂²×D₄	1	2	yes	—
1201	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1202	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1203	C₂³×C₄	C₂²×D₄	1	2	yes	—
1204	C₂³×C₄	C₂²×D₄	1	2	yes	—
1205	C₂³×C₄	C₂²×D₄	1	4	yes	—
1206	C₂³×C₄	C₂²×D₄	1	2	yes	—
1207	C₂³×C₄	C₂⁵	1	2	yes	—
1208	C₂³×C₄	C₂⁵	1	2	yes	—
1209	C₂³×C₄	C₂⁵	1	2	yes	—
1210	C₂³×C₄	C₂⁵	1	2	yes	—
1211	C₂³×C₄	C₂⁵	1	2	yes	—
1212	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1213	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1214	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1215	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1216	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1217	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1218	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1219	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1220	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1221	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1222	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1223	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1224	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1225	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1226	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1227	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1228	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1229	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1230	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1231	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1232	C₂×C₂²⋊C₄	#120	1	1	yes	characteristic
1233	C₂×C₂²⋊C₄	#120	1	1	yes	characteristic
1234	C₂×C₂²⋊C₄	#120	1	1	yes	characteristic
1235	C₂×C₂²⋊C₄	#120	1	1	yes	characteristic
1236	C₂×C₂²⋊C₄	#120	1	2	yes	—
1237	C₂×C₂²⋊C₄	#120	1	2	yes	—
1238	C₂×C₂²⋊C₄	#120	1	2	yes	—
1239	C₂×C₂²⋊C₄	#120	1	2	yes	—
1240	C₂×C₂²⋊C₄	#120	1	2	yes	—
1241	C₂×C₂²⋊C₄	#120	1	4	yes	—
1242	C₂×C₂²⋊C₄	#120	1	4	yes	—
1243	C₂×C₂²⋊C₄	#120	1	2	yes	—
1244	C₂×C₂²⋊C₄	#120	1	2	yes	—
1245	C₂×C₂²⋊C₄	#120	1	2	yes	—
1246	C₂×C₂²⋊C₄	#120	1	2	yes	—
1247	C₂×C₂²⋊C₄	#120	1	4	yes	—
1248	C₂×C₂²⋊C₄	#120	1	2	yes	—
1249	C₂×C₂²⋊C₄	#120	1	4	yes	—
1250	C₂×C₂²⋊C₄	#120	1	4	yes	—
1251	C₂×C₂²⋊C₄	#120	1	4	yes	—
1252	C₂×C₂²⋊C₄	#120	1	4	yes	—
1253	C₂×C₂²⋊C₄	#120	1	4	yes	—
1254	C₂×C₂²⋊C₄	#120	1	4	yes	—
1255	C₂×C₂²⋊C₄	#120	1	4	yes	—
1256	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1257	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1258	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1259	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1260	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1261	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1262	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1263	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1264	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1265	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1266	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1267	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1268	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1269	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1270	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1271	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1272	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1273	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1274	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1275	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1276	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1277	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1278	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1279	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1280	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1281	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1282	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1283	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1284	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1285	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1286	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1287	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1288	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1289	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1290	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1291	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1292	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1293	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1294	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1295	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1296	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1297	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1298	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1299	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1300	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1301	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1302	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1303	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1304	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1305	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1306	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1307	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1308	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1309	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1310	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1311	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1312	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1313	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1314	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1315	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1316	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1317	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1318	C₂×C₄²	C₂²×D₄	1	4	yes	—
1319	C₂×C₄²	C₂²×D₄	1	4	yes	—
1320	C₂×C₄²	C₂²×D₄	1	4	yes	—
1321	C₂×C₄²	C₂²×D₄	1	4	yes	—
1322	C₂×C₄²	C₂²×D₄	1	2	yes	—
1323	C₂×C₄²	C₂²×D₄	1	2	yes	—
1324	#99	H(5,𝔽₂)	1	4	yes	complemented
1325	C₂⁴	C₂×#120	1	1	yes	characteristic
1326	C₂⁴	C₂×#120	1	1	yes	characteristic
1327	C₂⁴	C₂×#120	1	2	yes	—
1328	C₂⁴	C₂×#120	1	2	yes	—
1329	C₂⁴	C₂×#120	1	2	yes	—
1330	C₂⁴	C₂×#120	1	1	yes	characteristic
1331	C₂⁴	C₂×#120	1	2	yes	—
1332	C₂⁴	C₂×#120	1	2	yes	—
1333	C₂⁴	C₂×#120	1	2	yes	—
1334	C₂⁴	C₂×#120	1	1	yes	characteristic
1335	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1336	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1337	C₂⁴	C₂³×D₄	1	2	yes	—
1338	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1339	C₂⁴	C₂³×D₄	1	2	yes	—
1340	C₂⁴	C₂³×D₄	1	2	yes	—
1341	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1342	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1343	C₂⁴	C₂³×D₄	1	2	yes	—
1344	C₂⁴	C₂³×D₄	1	4	yes	—
1345	C₂⁴	C₂³×D₄	1	4	yes	—
1346	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1347	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1348	C₂⁴	C₂³×D₄	1	2	yes	—
1349	C₂⁴	C₂³×D₄	1	2	yes	—
1350	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1351	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1352	C₂⁴	C₂³×D₄	1	2	yes	—
1353	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1354	C₂⁴	C₂⁶	1	1	yes	characteristic
1355	C₂×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
1356	C₂×D₄	#585	1	2	yes	—
1357	C₂²×C₄	C₂×#120	1	2	yes	—
1358	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1359	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1360	C₂²×C₄	C₂×#120	1	2	yes	—
1361	C₂²×C₄	C₂×#120	1	2	yes	—
1362	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1363	C₂²×C₄	C₂×#120	1	2	yes	—
1364	C₂²×C₄	C₂×#120	1	2	yes	—
1365	C₂²×C₄	C₂×#120	1	2	yes	—
1366	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1367	C₂²×C₄	C₂×#120	1	4	yes	—
1368	C₂²×C₄	C₂×#120	1	4	yes	—
1369	C₂²×C₄	C₂×#120	1	4	yes	—
1370	C₂²×C₄	C₂×#120	1	4	yes	—
1371	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₄	1	4	yes	—
1373	C₂²×C₄	C₂³×D₄	1	4	yes	—
1374	C₂²×C₄	C₂³×D₄	1	2	yes	—
1375	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1376	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1377	C₂²×C₄	C₂³×D₄	1	4	yes	—
1378	C₂²×C₄	C₂³×D₄	1	2	yes	—
1379	C₂²×C₄	C₂³×D₄	1	4	yes	—
1380	C₂²×C₄	C₂³×D₄	1	2	yes	—
1381	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1382	C₂²×C₄	C₂³×D₄	1	2	yes	—
1383	C₂²×C₄	C₂³×D₄	1	4	yes	—
1384	C₂²×C₄	C₂³×D₄	1	4	yes	—
1385	C₂²×C₄	C₂³×D₄	1	4	yes	—
1386	C₂²×C₄	C₂³×D₄	1	4	yes	—
1387	C₂²×C₄	C₂³×D₄	1	2	yes	—
1388	C₂²×C₄	C₂³×D₄	1	2	yes	—
1389	C₂²×C₄	C₂³×D₄	1	4	yes	—
1390	C₂²×C₄	C₂³×D₄	1	4	yes	—
1391	C₂²×C₄	C₂³×D₄	1	2	yes	—
1392	C₂²⋊C₄	C₂×#120	1	2	yes	—
1393	C₂²⋊C₄	C₂×#120	1	2	yes	—
1394	C₂²⋊C₄	C₂×#120	1	2	yes	—
1395	C₂²⋊C₄	C₂×#120	1	2	yes	—
1396	C₂²⋊C₄	C₂×#120	1	2	yes	—
1397	C₂²⋊C₄	C₂×#120	1	2	yes	—
1398	C₂²⋊C₄	C₂×#120	1	2	yes	—
1399	C₂²⋊C₄	C₂×#120	1	2	yes	—
1400	C₂²⋊C₄	C₂×#120	1	4	yes	—
1401	C₂²⋊C₄	C₂×#120	1	4	yes	—
1402	C₂²⋊C₄	C₂×#120	1	4	yes	—
1403	C₂²⋊C₄	C₂×#120	1	4	yes	—
1404	C₂²⋊C₄	C₂×#120	1	4	yes	—
1405	C₂²⋊C₄	C₂×#120	1	4	yes	—
1406	C₂²⋊C₄	C₂×#120	1	4	yes	—
1407	C₂²⋊C₄	C₂×#120	1	4	yes	—
1408	C₂²⋊C₄	C₂×#120	1	4	yes	—
1409	C₂²⋊C₄	C₂×#120	1	4	yes	—
1410	C₂²⋊C₄	C₂×#120	1	4	yes	—
1411	C₂²⋊C₄	C₂×#120	1	4	yes	—
1412	C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1413	C₂³	#3025	1	4	yes	complemented
1414	C₂³	C₂²×#120	1	1	yes	characteristic
1415	C₂³	C₂²×#120	1	2	yes	—
1416	C₂³	C₂²×#120	1	1	yes	characteristic
1417	C₂³	C₂²×#120	1	2	yes	—
1418	C₂³	C₂²×#120	1	1	yes	characteristic
1419	C₂³	C₂²×#120	1	2	yes	—
1420	C₂³	C₂²×#120	1	1	yes	characteristic
1421	C₂³	C₂²×#120	1	1	yes	characteristic
1422	C₂³	C₂²×#120	1	1	yes	characteristic
1423	C₂³	#3496	1	2	yes	—
1424	C₂³	C₂⁴×D₄	1	2	yes	—
1425	C₂³	C₂⁴×D₄	1	1	yes	characteristic
1426	C₂³	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1427	C₂³	C₂×#585	1	1	yes	characteristic
1428	C₂³	H(7,𝔽₂)	1	2	yes	—
1429	C₂×C₄	C₂²×#120	1	2	yes	—
1430	C₂×C₄	C₂²×#120	1	2	yes	—
1431	C₂×C₄	C₂²×#120	1	2	yes	—
1432	C₂×C₄	C₂²×#120	1	4	yes	—
1433	C₂×C₄	C₂²×#120	1	4	yes	—
1434	C₂×C₄	C₂²×#120	1	2	yes	—
1435	C₂×C₄	#3496	1	2	yes	—
1436	C₂²	C₂×#3025	1	2	yes	—
1437	C₂²	C₂×#3025	1	2	yes	—
1438	C₂²	C₂×#3025	1	2	yes	—
1439	C₂²	C₂³×#120	1	1	yes	characteristic
1440	C₂²	C₂×#3496	1	1	yes	characteristic
1441	C₂²	#62842	1	1	yes	characteristic
1442	C₂²	D₄×H(5,𝔽₂)	1	2	yes	—
1443	C₂²	#62987	1	2	yes	—
1444	C₂	#7631287	1	1	yes	characteristic
1445	C₂	#10574873	1	1	yes	characteristic
1446	C₂	C₂²×#3025	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×#120
commutator, Frattini, cosocle	C₂⁴	C₂⁶
LCS	G ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₂²⋊C₄ ◁ G
LECS	G ▷ C₂⁴ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #10586476	C₂	semidirect
2. #7631391	C₂	semidirect
3. #7631390	C₂	semidirect
4. #6596187	C₂	semidirect
5. #6596186	C₂	semidirect
6. #6595776	C₂	semidirect
7. #6595773	C₂	semidirect
8. #6591504	C₂	semidirect
9. #6591501	C₂	semidirect
10. #6573713	C₂	semidirect
11. #6573710	C₂	semidirect
12. #6542241	C₂	semidirect
13. #6542238	C₂	semidirect
14. #6533139	C₂	semidirect
15. #6533136	C₂	semidirect
16. #6513007	C₂	semidirect
17. #6500012	C₂	semidirect
18. #6500011	C₂	semidirect
19. #6500010	C₂	semidirect
20. #6491482	C₂	semidirect
21. #6470230	C₂	semidirect
22. #6470226	C₂	semidirect
23. #6470225	C₂	semidirect
24. #6454872	C₂	semidirect
25. #6437994	C₂	semidirect
26. C₂×#24405	C₂	semidirect
27. C₂×#24404	C₂	semidirect
28. #6393524	C₂	semidirect
29. C₂×#22405	C₂	semidirect
31. #62990	C₂²	semidirect
33. #62987	C₂²	semidirect
35. #62900	C₂²	semidirect
36. #62820	C₂²	semidirect
37. #62818	C₂²	semidirect
39. #62811	C₂²	semidirect
40. #62773	C₂²	semidirect
45. C₂²×#518	C₂²	semidirect
46. C₂×#3025	C₂²	semidirect
47. C₂²×#458	C₂²	semidirect
48. C₂²×B(4,𝔽₂)	C₂²	semidirect
49. C₂²×#410	C₂²	semidirect
50. C₂³×#99	C₂²	semidirect
51. #36341	C₂²	semidirect
52. #36340	C₂²	semidirect
53. #36340	C₂²	semidirect
54. #36340	C₂²	semidirect
55. #36317	C₂²	semidirect
56. #36316	C₂²	semidirect
57. #36316	C₂²	semidirect
58. #36316	C₂²	semidirect
59. #36159	C₂²	semidirect
60. #36158	C₂²	semidirect
61. #36099	C₂²	semidirect
62. #36099	C₂²	semidirect
63. #36099	C₂²	semidirect
64. #36098	C₂²	semidirect
65. #36098	C₂²	semidirect
66. #36098	C₂²	semidirect
67. #35077	C₂²	semidirect
68. #35076	C₂²	semidirect
69. #35063	C₂²	semidirect
70. #35062	C₂²	semidirect
71. #34992	C₂²	semidirect
72. #34992	C₂²	semidirect
73. #34980	C₂²	semidirect
74. #34980	C₂²	semidirect
75. #34957	C₂²	semidirect
76. #34956	C₂²	semidirect
77. #34737	C₂²	semidirect
78. #34736	C₂²	semidirect
79. C₂×#2412	C₂²	semidirect
80. C₂×#2405	C₂²	semidirect
81. C₂×#2410	C₂²	semidirect
82. C₂×#2403	C₂²	semidirect
83. #34176	C₂²	semidirect
84. C₂×#2342	C₂²	semidirect
85. #33023	C₂²	semidirect
86. #33022	C₂²	semidirect
87. #33021	C₂²	semidirect
88. #33020	C₂²	semidirect
89. #32977	C₂²	semidirect
90. #32977	C₂²	semidirect
91. #32928	C₂²	semidirect
92. #32928	C₂²	semidirect
93. #32901	C₂²	semidirect
94. #32900	C₂²	semidirect
95. #32899	C₂²	semidirect
96. #32898	C₂²	semidirect
97. #29711	C₂²	semidirect
98. #29686	C₂²	semidirect
99. #29637	C₂²	semidirect
100. #29636	C₂²	semidirect
101. #29635	C₂²	semidirect
102. #29634	C₂²	semidirect
103. #25949	C₂²	semidirect
104. #25901	C₂²	semidirect
105. #25901	C₂²	semidirect
106. #25901	C₂²	semidirect
107. #25854	C₂²	semidirect
108. #25773	C₂²	semidirect
109. #25773	C₂²	semidirect
110. #25773	C₂²	semidirect
111. #25665	C₂²	semidirect
112. #25665	C₂²	semidirect
113. #25665	C₂²	semidirect
114. #25587	C₂²	semidirect
115. #25587	C₂²	semidirect
116. #25587	C₂²	semidirect
117. #25566	C₂²	semidirect
118. #25566	C₂²	semidirect
119. #25565	C₂²	semidirect
120. #25565	C₂²	semidirect
121. #25565	C₂²	semidirect
122. #25565	C₂²	semidirect
123. #25564	C₂²	semidirect
124. #25564	C₂²	semidirect
125. #25563	C₂²	semidirect
126. #25563	C₂²	semidirect
127. #25563	C₂²	semidirect
128. #25563	C₂²	semidirect
129. #24407	C₂²	semidirect
130. #24407	C₂²	semidirect
131. #24407	C₂²	semidirect
132. #24407	C₂²	semidirect
133. #24407	C₂²	semidirect
134. #24406	C₂²	semidirect
135. #24406	C₂²	semidirect
136. #24406	C₂²	semidirect
137. #24406	C₂²	semidirect
138. #24406	C₂²	semidirect
139. #24405	C₂²	semidirect
140. #24405	C₂²	semidirect
141. #24405	C₂²	semidirect
142. #24405	C₂²	semidirect
143. #24405	C₂²	semidirect
144. #24405	C₂²	semidirect
145. #24405	C₂²	semidirect
146. #24405	C₂²	semidirect
147. #24405	C₂²	semidirect
148. #24405	C₂²	semidirect
149. #24405	C₂²	semidirect
150. #24405	C₂²	semidirect
151. #24405	C₂²	semidirect
152. #24404	C₂²	semidirect
153. #24404	C₂²	semidirect
154. #24404	C₂²	semidirect
155. #24404	C₂²	semidirect
156. #24404	C₂²	semidirect
157. #24404	C₂²	semidirect
158. #24404	C₂²	semidirect
159. #24404	C₂²	semidirect
160. #24404	C₂²	semidirect
161. #24404	C₂²	semidirect
162. #24404	C₂²	semidirect
163. #24404	C₂²	semidirect
164. #24404	C₂²	semidirect
165. #24351	C₂²	semidirect
166. #24350	C₂²	semidirect
167. #24261	C₂²	semidirect
168. #24261	C₂²	semidirect
169. #24261	C₂²	semidirect
170. #24260	C₂²	semidirect
171. #24260	C₂²	semidirect
172. #24260	C₂²	semidirect
173. #24141	C₂²	semidirect
174. #24141	C₂²	semidirect
175. #24141	C₂²	semidirect
176. #24140	C₂²	semidirect
177. #24140	C₂²	semidirect
178. #24140	C₂²	semidirect
179. #24113	C₂²	semidirect
180. #24113	C₂²	semidirect
181. #24112	C₂²	semidirect
182. #24112	C₂²	semidirect
183. #24057	C₂²	semidirect
184. #24057	C₂²	semidirect
185. #24057	C₂²	semidirect
186. #24057	C₂²	semidirect
187. #24057	C₂²	semidirect
188. #24056	C₂²	semidirect
189. #24056	C₂²	semidirect
190. #24056	C₂²	semidirect
191. #24056	C₂²	semidirect
192. #24056	C₂²	semidirect
193. #24056	C₂²	semidirect
194. #23986	C₂²	semidirect
195. #23986	C₂²	semidirect
196. #23985	C₂²	semidirect
197. #23984	C₂²	semidirect
198. #23902	C₂²	semidirect
199. #23902	C₂²	semidirect
200. #23902	C₂²	semidirect
201. #23902	C₂²	semidirect
202. #23902	C₂²	semidirect
203. #23901	C₂²	semidirect
204. #23901	C₂²	semidirect
205. #23901	C₂²	semidirect
206. #23900	C₂²	semidirect
207. #23900	C₂²	semidirect
208. #23900	C₂²	semidirect
209. #23596	C₂²	semidirect
210. #23595	C₂²	semidirect
211. #23514	C₂²	semidirect
212. C₂×#2044	C₂²	semidirect
213. C₂×#2044	C₂²	semidirect
214. #23443	C₂²	semidirect
215. C₂×#2022	C₂²	semidirect
216. C₂×#2021	C₂²	semidirect
217. #22477	C₂²	semidirect
218. #22477	C₂²	semidirect
219. #22477	C₂²	semidirect
220. #22477	C₂²	semidirect
221. #22405	C₂²	semidirect
222. #22405	C₂²	semidirect
223. #22405	C₂²	semidirect
224. #22405	C₂²	semidirect
225. #22405	C₂²	semidirect
226. #22405	C₂²	semidirect
227. #22405	C₂²	semidirect
228. #22405	C₂²	semidirect
229. #22405	C₂²	semidirect
230. #22405	C₂²	semidirect
231. #21874	C₂²	semidirect
232. #21748	C₂²	semidirect
233. #21746	C₂²	semidirect
234. #21746	C₂²	semidirect
235. C₄×#458	C₂²	semidirect
236. C₄×#458	C₂²	semidirect
237. C₄×B(4,𝔽₂)	C₂²	semidirect
238. C₄×B(4,𝔽₂)	C₂²	semidirect
239. #21420	C₂²	semidirect
240. C₂×#1964	C₂²	semidirect
241. #20983	C₂²	semidirect
242. C₂×#1899	C₂²	semidirect
243. C₂×#1898	C₂²	semidirect
244. C₂×#1898	C₂²	semidirect
245. C₂×#1898	C₂²	semidirect
246. #20959	C₂²	semidirect
247. C₂×#1890	C₂²	semidirect
248. C₂×#1889	C₂²	semidirect
249. #20888	C₂²	semidirect
250. C₂×#1867	C₂²	semidirect
251. C₂×#1867	C₂²	semidirect
252. C₂×#1799	C₂²	semidirect
253. #20608	C₂²	semidirect
254. C₂×#1790	C₂²	semidirect
255. C₂×#1790	C₂²	semidirect
256. C₂×#1782	C₂²	semidirect
257. C₂×#1781	C₂²	semidirect
258. C₂×C₄×#99	C₂²	semidirect
293. C₂×#551	D₄	semidirect
294. C₂×#551	D₄	semidirect
297. C₂×#546	D₄	semidirect
298. C₂×#546	D₄	semidirect
299. C₂×#546	D₄	semidirect
300. C₂×#546	D₄	semidirect
301. C₂×#546	D₄	semidirect
302. C₂×#546	D₄	semidirect
310. C₂×#543	D₄	semidirect
311. C₂×#538	D₄	semidirect
312. C₂×#538	D₄	semidirect
314. C₂×#534	D₄	semidirect
317. C₂²×#124	D₄	semidirect
321. C₂×#525	C₂³	semidirect
322. C₂×#525	C₂³	semidirect
323. C₂²×#123	D₄	semidirect
327. C₂²×#123	C₂³	semidirect
328. C₂²×C₂²⋊Q₈	D₄	semidirect
329. C₂²×#121	D₄	semidirect
330. C₂²×#121	D₄	semidirect
332. C₂²×#120	D₄	semidirect
338. C₂²×#120	C₂³	semidirect
342. C₂×#518	D₄	semidirect
343. C₂×#518	D₄	semidirect
346. C₂²×C₄×D₄	D₄	semidirect
348. C₂²×C₄×D₄	C₂³	semidirect
349. C₂²×C₄×D₄	C₂³	semidirect
350. C₂²×C₄×D₄	C₂³	semidirect
351. C₂²×C₄×D₄	C₂³	semidirect
352. C₂²×#117	C₂³	semidirect
353. C₂²×#117	C₂³	semidirect
354. C₂³×C₂²⋊C₄	D₄	semidirect
358. C₂³×C₂²⋊C₄	C₂³	semidirect
363. C₂×#458	C₂³	semidirect
364. C₂×#458	C₂³	semidirect
365. C₂×#458	C₂³	semidirect
366. C₂×#458	C₂³	semidirect
371. C₂×B(4,𝔽₂)	C₂³	semidirect
372. C₂×B(4,𝔽₂)	C₂³	semidirect
373. C₂×B(4,𝔽₂)	C₂³	semidirect
374. C₂×B(4,𝔽₂)	C₂³	semidirect
377. C₂×#410	C₂³	semidirect
378. C₂×#410	C₂³	semidirect
379. C₂×#410	C₂³	semidirect
392. C₂²×#99	C₂³	semidirect
393. C₂²×#99	C₂³	semidirect
394. C₂²×#99	C₂³	semidirect
395. C₂²×#99	C₂³	semidirect
396. C₂²×#99	C₂³	semidirect
397. C₂²×#99	C₂³	semidirect
398. #2855	C₂³	semidirect
399. #2854	C₂³	semidirect
400. #2854	C₂³	semidirect
401. #2854	C₂³	semidirect
402. #2853	C₂³	semidirect
403. #2853	C₂³	semidirect
404. #2853	C₂³	semidirect
405. #2853	C₂³	semidirect
409. #2849	C₂³	semidirect
410. #2849	C₂³	semidirect
411. #2849	C₂³	semidirect
412. #2849	C₂³	semidirect
413. #2849	C₂³	semidirect
414. #2849	C₂³	semidirect
415. #2849	C₂³	semidirect
416. #2848	C₂³	semidirect
417. #2847	C₂³	semidirect
418. #2847	C₂³	semidirect
419. #2847	C₂³	semidirect
421. #2846	C₂³	semidirect
422. #2591	C₂³	semidirect
423. #2591	C₂³	semidirect
424. #2591	C₂³	semidirect
425. #2583	C₂³	semidirect
427. #2579	C₂³	semidirect
428. #2579	C₂³	semidirect
429. #2579	C₂³	semidirect
430. #2561	C₂³	semidirect
431. #2539	C₂³	semidirect
432. #2539	C₂³	semidirect
433. #2539	C₂³	semidirect
435. #2534	C₂³	semidirect
436. #2534	C₂³	semidirect
437. #2534	C₂³	semidirect
438. #2484	C₂³	semidirect
439. #2483	C₂³	semidirect
440. #2483	C₂³	semidirect
441. #2482	C₂³	semidirect
442. #2413	C₂³	semidirect
443. #2413	C₂³	semidirect
444. #2413	C₂³	semidirect
445. #2413	C₂³	semidirect
448. #2412	C₂³	semidirect
449. #2412	C₂³	semidirect
450. #2412	C₂³	semidirect
451. #2412	C₂³	semidirect
452. #2412	C₂³	semidirect
453. #2412	C₂³	semidirect
454. #2411	C₂³	semidirect
455. #2411	C₂³	semidirect
456. #2411	C₂³	semidirect
457. #2411	C₂³	semidirect
460. #2410	C₂³	semidirect
461. #2410	C₂³	semidirect
462. #2410	C₂³	semidirect
463. #2410	C₂³	semidirect
464. #2410	C₂³	semidirect
465. #2410	C₂³	semidirect
467. #2406	C₂³	semidirect
468. #2406	C₂³	semidirect
473. #2405	C₂³	semidirect
474. #2405	C₂³	semidirect
475. #2405	C₂³	semidirect
476. #2405	C₂³	semidirect
478. #2404	C₂³	semidirect
479. #2404	C₂³	semidirect
484. #2403	C₂³	semidirect
485. #2403	C₂³	semidirect
486. #2342	C₂³	semidirect
487. #2342	C₂³	semidirect
488. #2342	C₂³	semidirect
489. #2342	C₂³	semidirect
490. #2342	C₂³	semidirect
491. #2342	C₂³	semidirect
492. #2342	C₂³	semidirect
493. #2342	C₂³	semidirect
495. C₄×#123	C₂³	semidirect
496. C₄×#123	C₂³	semidirect
497. C₄×#123	C₂³	semidirect
499. C₄×#120	C₂³	semidirect
500. C₄×#120	C₂³	semidirect
501. C₄×#120	C₂³	semidirect
503. #2297	C₂³	semidirect
504. #2297	C₂³	semidirect
505. #2296	C₂³	semidirect
510. C₂×#386	C₂³	semidirect
511. C₂×#386	C₂³	semidirect
512. C₂×#385	C₂³	semidirect
513. C₂×#385	C₂³	semidirect
514. #2280	C₂³	semidirect
515. #2280	C₂³	semidirect
516. #2280	C₂³	semidirect
517. C₂×#381	C₂³	semidirect
518. C₂×#381	C₂³	semidirect
519. C₂×#380	C₂³	semidirect
523. C₂×#379	C₂³	semidirect
524. C₂×C₄×C₂²⋊C₄	C₂³	semidirect
525. #2062	C₂³	semidirect
526. #2062	C₂³	semidirect
527. #2062	C₂³	semidirect
528. #2062	C₂³	semidirect
537. #2044	C₂³	semidirect
538. #2044	C₂³	semidirect
539. #2044	C₂³	semidirect
540. #2044	C₂³	semidirect
541. #2044	C₂³	semidirect
542. #2044	C₂³	semidirect
543. #2044	C₂³	semidirect
544. #2044	C₂³	semidirect
545. #2044	C₂³	semidirect
546. #2044	C₂³	semidirect
547. #2044	C₂³	semidirect
548. #2044	C₂³	semidirect
549. #2044	C₂³	semidirect
550. #2044	C₂³	semidirect
551. #2044	C₂³	semidirect
552. #2044	C₂³	semidirect
553. #2044	C₂³	semidirect
554. #2044	C₂³	semidirect
555. #2044	C₂³	semidirect
556. #2044	C₂³	semidirect
557. #2030	C₂³	semidirect
558. #2030	C₂³	semidirect
559. #2029	C₂³	semidirect
560. #2029	C₂³	semidirect
565. #2022	C₂³	semidirect
566. #2022	C₂³	semidirect
567. #2022	C₂³	semidirect
568. #2022	C₂³	semidirect
569. #2022	C₂³	semidirect
570. #2022	C₂³	semidirect
571. #2022	C₂³	semidirect
572. #2022	C₂³	semidirect
573. #2022	C₂³	semidirect
574. #2022	C₂³	semidirect
579. #2021	C₂³	semidirect
580. #2021	C₂³	semidirect
581. #2021	C₂³	semidirect
582. #2021	C₂³	semidirect
583. #2021	C₂³	semidirect
584. #2021	C₂³	semidirect
585. #2021	C₂³	semidirect
586. #2021	C₂³	semidirect
587. #2021	C₂³	semidirect
588. #2021	C₂³	semidirect
589. #1996	C₂³	semidirect
590. #1996	C₂³	semidirect
591. #1996	C₂³	semidirect
592. #1996	C₂³	semidirect
593. #1964	C₂³	semidirect
594. #1964	C₂³	semidirect
595. #1964	C₂³	semidirect
596. #1964	C₂³	semidirect
597. #1964	C₂³	semidirect
598. #1964	C₂³	semidirect
599. #1964	C₂³	semidirect
600. #1964	C₂³	semidirect
601. #1899	C₂³	semidirect
602. #1899	C₂³	semidirect
603. #1899	C₂³	semidirect
604. #1899	C₂³	semidirect
605. #1899	C₂³	semidirect
606. #1899	C₂³	semidirect
607. #1899	C₂³	semidirect
608. #1899	C₂³	semidirect
609. #1899	C₂³	semidirect
610. #1899	C₂³	semidirect
611. #1899	C₂³	semidirect
612. #1899	C₂³	semidirect
621. #1898	C₂³	semidirect
622. #1898	C₂³	semidirect
623. #1898	C₂³	semidirect
624. #1898	C₂³	semidirect
625. #1898	C₂³	semidirect
626. #1898	C₂³	semidirect
627. #1898	C₂³	semidirect
628. #1898	C₂³	semidirect
629. #1898	C₂³	semidirect
630. #1898	C₂³	semidirect
631. #1898	C₂³	semidirect
632. #1898	C₂³	semidirect
637. #1890	C₂³	semidirect
638. #1890	C₂³	semidirect
639. #1890	C₂³	semidirect
640. #1890	C₂³	semidirect
641. #1890	C₂³	semidirect
642. #1890	C₂³	semidirect
643. #1890	C₂³	semidirect
644. #1890	C₂³	semidirect
649. #1889	C₂³	semidirect
650. #1889	C₂³	semidirect
651. #1889	C₂³	semidirect
652. #1889	C₂³	semidirect
653. #1889	C₂³	semidirect
654. #1889	C₂³	semidirect
655. #1889	C₂³	semidirect
656. #1889	C₂³	semidirect
665. #1867	C₂³	semidirect
666. #1867	C₂³	semidirect
667. #1867	C₂³	semidirect
668. #1867	C₂³	semidirect
669. #1867	C₂³	semidirect
670. #1867	C₂³	semidirect
671. #1867	C₂³	semidirect
672. #1867	C₂³	semidirect
673. #1867	C₂³	semidirect
674. #1867	C₂³	semidirect
675. #1867	C₂³	semidirect
676. #1867	C₂³	semidirect
677. #1867	C₂³	semidirect
678. #1867	C₂³	semidirect
679. #1867	C₂³	semidirect
680. #1867	C₂³	semidirect
681. #1820	C₂³	semidirect
682. #1820	C₂³	semidirect
683. #1819	C₂³	semidirect
684. #1819	C₂³	semidirect
687. #1799	C₂³	semidirect
688. #1799	C₂³	semidirect
689. #1799	C₂³	semidirect
690. #1799	C₂³	semidirect
691. #1799	C₂³	semidirect
700. #1790	C₂³	semidirect
701. #1790	C₂³	semidirect
702. #1790	C₂³	semidirect
703. #1790	C₂³	semidirect
704. #1790	C₂³	semidirect
705. #1790	C₂³	semidirect
706. #1790	C₂³	semidirect
707. #1790	C₂³	semidirect
710. #1782	C₂³	semidirect
711. #1782	C₂³	semidirect
712. #1782	C₂³	semidirect
717. #1781	C₂³	semidirect
718. #1781	C₂³	semidirect
721. C₄×#99	C₂³	semidirect
722. C₄×#99	C₂³	semidirect
723. C₄×#99	C₂³	semidirect
724. C₄×#99	C₂³	semidirect
725. C₄×#99	C₂³	semidirect
726. #1740	C₂³	semidirect
727. #1740	C₂³	semidirect
728. C₂×#342	C₂³	semidirect
729. C₂×#342	C₂³	semidirect
730. C₂×#342	C₂³	semidirect
731. C₂×#342	C₂³	semidirect
732. C₂×#342	C₂³	semidirect
733. C₂×#342	C₂³	semidirect
742. C₂²×#41	C₂×D₄	semidirect
743. C₂²×#41	C₂×D₄	semidirect
744. C₂²×#41	C₂×D₄	semidirect
748. C₂³×Q₈	C₂×D₄	semidirect
761. C₂³×D₄	C₂×D₄	semidirect
762. C₂³×D₄	C₂×D₄	semidirect
775. C₂⁴×C₄	C₂×D₄	semidirect
776. C₂⁴×C₄	C₂×D₄	semidirect
777. C₂⁴×C₄	C₂×D₄	semidirect
795. C₂×#126	C₂×D₄	semidirect
796. C₂×#126	C₂×D₄	semidirect
801. C₂×#124	C₂×D₄	semidirect
802. C₂×#124	C₂×D₄	semidirect
803. C₂×#124	C₂×D₄	semidirect
804. C₂×#124	C₂×D₄	semidirect
810. C₂×#123	C₂×D₄	semidirect
811. C₂×#123	C₂×D₄	semidirect
812. C₂×#123	C₂×D₄	semidirect
813. C₂×#123	C₂×D₄	semidirect
814. C₂×#123	C₂×D₄	semidirect
815. C₂×#123	C₂×D₄	semidirect
816. C₂×#123	C₂×D₄	semidirect
817. C₂×#123	C₂×D₄	semidirect
818. C₂×#123	C₂×D₄	semidirect
837. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
838. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
839. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
840. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
841. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
842. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
843. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
851. C₂×#121	C₂×D₄	semidirect
852. C₂×#121	C₂×D₄	semidirect
853. C₂×#121	C₂×D₄	semidirect
854. C₂×#121	C₂×D₄	semidirect
855. C₂×#121	C₂×D₄	semidirect
856. C₂×#121	C₂×D₄	semidirect
857. C₂×#121	C₂×D₄	semidirect
858. C₂×#121	C₂×D₄	semidirect
859. C₂×#121	C₂×D₄	semidirect
860. C₂×#121	C₂×D₄	semidirect
861. C₂×#121	C₂×D₄	semidirect
874. C₂×#120	C₂×D₄	semidirect
875. C₂×#120	C₂×D₄	semidirect
876. C₂×#120	C₂×D₄	semidirect
904. C₂×C₄×D₄	C₂×D₄	semidirect
905. C₂×C₄×D₄	C₂×D₄	semidirect
906. C₂×C₄×D₄	C₂×D₄	semidirect
907. C₂×C₄×D₄	C₂×D₄	semidirect
908. C₂×C₄×D₄	C₂×D₄	semidirect
909. C₂×C₄×D₄	C₂×D₄	semidirect
910. C₂×C₄×D₄	C₂×D₄	semidirect
911. C₂×C₄×D₄	C₂×D₄	semidirect
912. C₂×C₄×D₄	C₂×D₄	semidirect
913. C₂×C₄×D₄	C₂×D₄	semidirect
914. C₂×C₄×D₄	C₂×D₄	semidirect
915. C₂×C₄×D₄	C₂×D₄	semidirect
921. C₂×#117	C₂×D₄	semidirect
922. C₂×#117	C₂×D₄	semidirect
928. C₂²×C₄⋊C₄	C₂×D₄	semidirect
929. C₂²×C₄⋊C₄	C₂×D₄	semidirect
930. C₂²×C₄⋊C₄	C₂×D₄	semidirect
931. C₂²×C₄⋊C₄	C₂×D₄	semidirect
955. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
956. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
957. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
958. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
959. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
960. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
961. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
962. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
984. C₂²×C₄²	C₂×D₄	semidirect
1324. #99	H(5,𝔽₂)	semidirect
1413. C₂³	#3025	semidirect

Maximal subgroups

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

subgroup	index
#10586476	2
#7631391	2
#7631390	2
#6596187	2
#6596186	2
#6595776	2
#6595773	2
#6591504	2
#6591501	2
#6573713	2
#6573710	2
#6542241	2
#6542238	2
#6533139	2
#6533136	2
#6513007	2
#6500012	2
#6500011	2
#6500010	2
#6491482	2
#6470230	2
#6470226	2
#6470225	2
#6454872	2
#6437994	2
C₂×#24405	2
C₂×#24404	2
#6393524	2
C₂×#22405	2