Subgroups — #72315060

Order 2048.

At least 10613 conjugacy classes of subgroups; only the 4864 normal subgroups are shown.

The subgroup lattice has 1051 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#493577	C₂	1	1	yes	maximal, characteristic, complemented
2	#72313013	C₂	1	1	yes	maximal, characteristic, complemented
3	#72312819	C₂	1	4	yes	maximal, complemented
4	#72312684	C₂	1	2	yes	maximal, complemented
5	#72312474	C₂	1	1	yes	maximal, characteristic, complemented
6	#72312397	C₂	1	4	yes	maximal, complemented
7	C₂×#7622466	C₂	1	1	yes	maximal, characteristic, complemented
8	#72306984	C₂	1	8	yes	maximal, complemented
9	#72306947	C₂	1	4	yes	maximal, complemented
10	#72306418	C₂	1	4	yes	maximal, complemented
11	#72303224	C₂	1	8	yes	maximal, complemented
12	#72302949	C₂	1	2	yes	maximal, complemented
13	#72302921	C₂	1	1	yes	maximal, characteristic, complemented
14	#72286184	C₂	1	4	yes	maximal, complemented
15	#72284368	C₂	1	8	yes	maximal, complemented
16	#72280733	C₂	1	2	yes	maximal, complemented
17	#72257321	C₂	1	1	yes	maximal, characteristic, complemented
18	#72256636	C₂	1	2	yes	maximal, complemented
19	C₂²×#33546	C₂	1	1	yes	maximal, characteristic, complemented
20	#72249464	C₂	1	4	yes	maximal, complemented
21	#10586020	C₂²	1	1	yes	characteristic, complemented
22	C₂×#62812	C₂²	1	1	yes	characteristic
23	C₂²×#3481	C₂²	1	1	yes	characteristic
24	C₂²×#3025	C₂²	1	2	yes	complemented
25	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#3018	C₂²	1	1	yes	characteristic
27	C₂×#60070	C₂²	1	2	yes	complemented
28	#7739384	C₂²	1	2	yes	complemented
29	#7739315	C₂²	1	2	yes	complemented
30	#7739265	C₂²	1	2	yes	complemented
31	#7739265	C₂²	1	2	yes	complemented
32	#7737652	C₂²	1	2	yes	complemented
33	#7737411	C₂²	1	2	yes	complemented
34	#7737041	C₂²	1	4	yes	complemented
35	#7708257	C₂²	1	4	yes	complemented
36	#7666965	C₂²	1	4	yes	complemented
37	#7634872	C₂²	1	2	yes	—
38	#7629120	C₂²	1	2	yes	—
39	#7625999	C₂²	1	1	yes	characteristic
40	C₂×#33546	C₂²	1	4	yes	complemented
41	C₂×#33546	C₂²	1	4	yes	complemented
42	C₂×#33546	C₂²	1	4	yes	complemented
43	C₂×#33546	C₂²	1	4	yes	complemented
44	C₂²×#2198	C₂²	1	2	yes	complemented
45	C₂²×#2197	C₂²	1	4	yes	complemented
46	C₂²×#2196	C₂²	1	2	yes	complemented
47	C₂×#33362	C₂²	1	2	yes	complemented
48	C₂×#33360	C₂²	1	2	yes	complemented
49	C₂×#33361	C₂²	1	4	yes	complemented
50	C₂×#33361	C₂²	1	2	yes	complemented
51	C₂×#33359	C₂²	1	4	yes	complemented
52	C₂×#33359	C₂²	1	2	yes	complemented
53	C₂×#33358	C₂²	1	4	yes	complemented
54	C₂×#33358	C₂²	1	2	yes	complemented
55	C₂²×#2126	C₂²	1	1	yes	characteristic
56	C₂²×#2126	C₂²	1	1	yes	characteristic
57	C₂²×#2126	C₂²	1	4	yes	complemented
58	C₂²×#2120	C₂²	1	2	yes	complemented
59	C₂²×#2120	C₂²	1	2	yes	complemented
60	#6438002	C₂²	1	8	yes	complemented
61	#6438001	C₂²	1	8	yes	complemented
62	#6438000	C₂²	1	8	yes	complemented
63	#6437999	C₂²	1	8	yes	complemented
64	#6437994	C₂²	1	16	yes	complemented
65	#6437457	C₂²	1	4	yes	complemented
66	#6437456	C₂²	1	4	yes	—
67	#6437455	C₂²	1	2	yes	complemented
68	#6437454	C₂²	1	2	yes	complemented
69	#6437453	C₂²	1	2	yes	complemented
70	#6437452	C₂²	1	2	yes	complemented
71	#6437444	C₂²	1	4	yes	complemented
72	#6437437	C₂²	1	4	yes	complemented
73	C₂×#20959	C₂²	1	2	yes	complemented
74	#6371454	C₂²	1	1	yes	characteristic, complemented
75	C₂×#20952	C₂²	1	1	yes	characteristic
76	#6371336	C₂²	1	2	yes	complemented
77	#6370734	C₂²	1	2	yes	complemented
78	#6370703	C₂²	1	1	yes	characteristic, complemented
79	#501101	C₂²	1	32	yes	complemented
80	#501100	C₂²	1	32	yes	complemented
81	#501099	C₂²	1	16	yes	complemented
82	#501098	C₂²	1	16	yes	complemented
83	#501097	C₂²	1	16	yes	complemented
84	#501096	C₂²	1	16	yes	complemented
85	#501089	C₂²	1	32	yes	complemented
86	#501088	C₂²	1	32	yes	complemented
87	#501087	C₂²	1	16	yes	complemented
88	#501086	C₂²	1	16	yes	complemented
89	#501085	C₂²	1	16	yes	complemented
90	#501084	C₂²	1	16	yes	complemented
91	#499140	C₂²	1	8	yes	complemented
92	#499139	C₂²	1	8	yes	complemented
93	#499138	C₂²	1	8	yes	complemented
94	#499137	C₂²	1	8	yes	complemented
95	#499132	C₂²	1	16	yes	complemented
96	#498930	C₂²	1	8	yes	complemented
97	#498929	C₂²	1	8	yes	complemented
98	#498928	C₂²	1	8	yes	complemented
99	#498927	C₂²	1	8	yes	complemented
100	#498922	C₂²	1	16	yes	complemented
101	#494702	C₂²	1	8	yes	complemented
102	#494701	C₂²	1	8	yes	complemented
103	#494700	C₂²	1	8	yes	complemented
104	#494699	C₂²	1	8	yes	complemented
105	#494694	C₂²	1	16	yes	complemented
106	#494599	C₂²	1	4	yes	complemented
107	#494598	C₂²	1	4	yes	complemented
108	#494597	C₂²	1	4	yes	complemented
109	#494596	C₂²	1	4	yes	complemented
110	#494595	C₂²	1	4	yes	complemented
111	#494592	C₂²	1	4	yes	complemented
112	#494373	C₂²	1	4	yes	complemented
113	#494372	C₂²	1	4	yes	complemented
114	#494371	C₂²	1	4	yes	complemented
115	#494370	C₂²	1	4	yes	complemented
116	#494369	C₂²	1	4	yes	complemented
117	#494366	C₂²	1	4	yes	complemented
118	#493577	C₂²	1	4	yes	complemented
119	#493577	C₂²	1	4	yes	complemented
120	#493577	C₂²	1	4	yes	complemented
121	#493577	C₂²	1	4	yes	complemented
122	C₂×#12760	C₂²	1	2	yes	complemented
123	C₂×#12761	C₂²	1	4	yes	complemented
124	C₂×#12759	C₂²	1	2	yes	complemented
125	#492886	C₂²	1	2	yes	complemented
126	#492886	C₂²	1	2	yes	complemented
127	C₂²×#585	D₄	1	1	yes	characteristic, complemented
128	C₂²×#585	C₂³	1	1	yes	characteristic
129	C₂²×#585	C₂³	1	1	yes	characteristic
130	#62859	C₂³	1	2	yes	complemented
131	#62852	C₂³	1	2	yes	complemented
132	#62842	C₂³	1	4	yes	—
133	#62811	C₂³	1	4	yes	complemented
134	C₂×#3500	D₄	1	2	yes	complemented
135	C₂×#3500	D₄	1	1	yes	characteristic, complemented
136	C₂×#3500	D₄	1	1	yes	characteristic, complemented
137	C₂×#3500	C₂³	1	1	yes	characteristic
138	C₂×#3500	C₂³	1	2	yes	—
139	C₂×#3500	C₂³	1	1	yes	characteristic
140	C₂×#3499	D₄	1	2	yes	complemented
141	C₂×#3499	D₄	1	1	yes	characteristic, complemented
142	C₂×#3499	C₂³	1	1	yes	characteristic
143	C₂×#3498	D₄	1	1	yes	characteristic, complemented
144	C₂×#3498	C₂³	1	2	yes	—
145	C₂×#3498	C₂³	1	1	yes	characteristic
146	C₂×#3481	C₂³	1	2	yes	—
147	C₂×#3481	C₂³	1	2	yes	—
148	C₂×#3481	C₂³	1	2	yes	—
149	C₂×#3481	C₂³	1	2	yes	—
150	C₂²×#559	C₂³	1	1	yes	characteristic
151	C₂²×#551	C₂³	1	2	yes	—
152	C₂²×D₄²	C₂³	1	1	yes	characteristic
153	C₂×#3449	D₄	1	1	yes	characteristic, complemented
154	C₂×#3449	D₄	1	2	yes	complemented
155	C₂×#3449	C₂³	1	1	yes	characteristic
156	C₂×#3449	C₂³	1	2	yes	—
157	C₂²×#532	D₄	1	1	yes	characteristic, complemented
158	C₂²×#532	D₄	1	2	yes	complemented
159	C₂²×#532	C₂³	1	1	yes	characteristic
160	C₂²×#532	C₂³	1	2	yes	—
161	C₂²×#525	D₄	1	2	yes	complemented
162	C₂²×#525	D₄	1	2	yes	complemented
163	C₂²×#525	C₂³	1	2	yes	—
164	C₂×#3428	C₂³	1	1	yes	characteristic
165	C₂²×C₄×#41	D₄	1	1	yes	characteristic, complemented
166	C₂×#3025	C₂³	1	8	yes	—
167	C₂×#3025	C₂³	1	8	yes	—
168	C₂²×#458	C₂³	1	4	yes	—
169	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
170	C₂×#3022	C₂³	1	2	yes	complemented
171	C₂×#3021	C₂³	1	2	yes	complemented
172	C₂×#3019	C₂³	1	4	yes	—
173	C₂×#3018	C₂³	1	2	yes	—
174	C₂×#3018	C₂³	1	2	yes	—
175	C₂×#3018	C₂³	1	2	yes	—
176	C₂×#3018	C₂³	1	2	yes	—
177	C₂×#3018	C₂³	1	4	yes	complemented
178	C₂²×#455	C₂³	1	2	yes	—
179	C₂²×#453	C₂³	1	2	yes	—
180	C₂²×#413	C₂³	1	1	yes	characteristic
181	C₂²×#413	C₂³	1	1	yes	characteristic
182	C₂×#2884	C₂³	1	4	yes	complemented
183	C₂×#2883	C₂³	1	8	yes	—
184	C₂×#2883	C₂³	1	4	yes	complemented
185	C₂²×#410	C₂³	1	2	yes	—
186	C₂²×#410	C₂³	1	2	yes	—
187	C₂²×#410	C₂³	1	8	yes	complemented
188	#59184	C₂³	1	8	yes	complemented
189	#59162	C₂³	1	8	yes	complemented
190	#59143	C₂³	1	4	yes	complemented
191	#59126	C₂³	1	4	yes	complemented
192	#59070	C₂³	1	4	yes	complemented
193	#59041	C₂³	1	4	yes	complemented
194	#52165	C₂³	1	8	yes	—
195	#52054	C₂³	1	4	yes	complemented
196	#52054	C₂³	1	4	yes	complemented
197	#52004	C₂³	1	4	yes	complemented
198	#52004	C₂³	1	4	yes	complemented
199	#51895	C₂³	1	8	yes	complemented
200	#51530	C₂³	1	8	yes	complemented
201	#37374	C₂³	1	4	yes	—
202	#37269	C₂³	1	4	yes	—
203	#36955	C₂³	1	4	yes	—
204	#36702	C₂³	1	4	yes	—
205	#35659	D₄	1	4	yes	complemented
206	#35659	C₂³	1	4	yes	—
207	#35512	D₄	1	4	yes	complemented
208	#35512	C₂³	1	4	yes	—
209	#35446	D₄	1	4	yes	complemented
210	#35446	C₂³	1	4	yes	—
211	#35346	D₄	1	4	yes	complemented
212	#35346	C₂³	1	4	yes	—
213	#34736	D₄	1	8	yes	complemented
214	#34736	C₂³	1	8	yes	—
215	#34369	C₂³	1	2	yes	—
216	#34368	C₂³	1	2	yes	—
217	#34366	C₂³	1	2	yes	—
218	#34364	C₂³	1	2	yes	—
219	#34346	C₂³	1	2	yes	—
220	#34155	C₂³	1	2	yes	—
221	#34044	D₄	1	2	yes	complemented
222	#34044	D₄	1	2	yes	complemented
223	#34044	C₂³	1	2	yes	—
224	C₂×#2198	C₂³	1	8	yes	—
225	C₂×#2198	C₂³	1	8	yes	—
226	C₂×#2197	C₂³	1	16	yes	—
227	C₂×#2197	C₂³	1	16	yes	—
228	C₂×#2196	C₂³	1	8	yes	—
229	C₂×#2196	C₂³	1	8	yes	—
230	C₂×#2129	C₂³	1	8	yes	complemented
231	C₂×#2129	C₂³	1	4	yes	complemented
232	C₂×#2128	C₂³	1	8	yes	complemented
233	C₂×#2128	C₂³	1	4	yes	complemented
234	C₂×#2127	C₂³	1	8	yes	—
235	C₂×#2127	C₂³	1	8	yes	complemented
236	C₂×#2127	C₂³	1	8	yes	complemented
237	C₂×#2126	D₄	1	16	yes	complemented
238	C₂×#2126	C₂³	1	2	yes	—
239	C₂×#2126	C₂³	1	2	yes	—
240	C₂×#2126	C₂³	1	2	yes	—
241	C₂×#2126	C₂³	1	2	yes	—
242	C₂×#2126	C₂³	1	2	yes	—
243	C₂×#2126	C₂³	1	2	yes	—
244	C₂×#2126	C₂³	1	2	yes	—
245	C₂×#2126	C₂³	1	2	yes	—
246	C₂×#2126	C₂³	1	8	yes	complemented
247	C₂×#2126	C₂³	1	8	yes	complemented
248	C₂×#2126	C₂³	1	8	yes	complemented
249	C₂²×#354	C₂³	1	2	yes	—
250	C₂²×#354	C₂³	1	2	yes	—
251	C₂²×#354	C₂³	1	8	yes	complemented
252	C₂²×#353	C₂³	1	2	yes	—
253	C₂²×#353	C₂³	1	2	yes	—
254	C₂²×#353	C₂³	1	8	yes	complemented
255	C₂×#2120	C₂³	1	8	yes	—
256	C₂×#2120	C₂³	1	8	yes	—
257	C₂×#2120	C₂³	1	8	yes	—
258	C₂×#2120	C₂³	1	8	yes	—
259	C₂²×#352	C₂³	1	4	yes	—
260	C₂²×#352	C₂³	1	4	yes	—
261	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
262	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
263	#24407	C₂³	1	32	yes	complemented
264	#24406	C₂³	1	32	yes	—
265	#24405	C₂³	1	32	yes	complemented
266	#24404	C₂³	1	32	yes	—
267	#23914	C₂³	1	8	yes	complemented
268	#23913	C₂³	1	8	yes	—
269	#23912	C₂³	1	8	yes	—
270	#23912	C₂³	1	8	yes	complemented
271	#23908	C₂³	1	8	yes	—
272	#23908	C₂³	1	8	yes	complemented
273	#23907	C₂³	1	8	yes	complemented
274	#23906	C₂³	1	8	yes	—
275	#20959	C₂³	1	8	yes	—
276	#20959	C₂³	1	8	yes	—
277	C₂×#1890	C₂³	1	4	yes	—
278	C₂×#1889	C₂³	1	4	yes	—
279	#20956	C₂³	1	2	yes	complemented
280	#20955	C₂³	1	2	yes	complemented
281	#20953	C₂³	1	4	yes	—
282	#20952	C₂³	1	2	yes	—
283	#20952	C₂³	1	2	yes	—
284	#20952	C₂³	1	2	yes	—
285	#20952	C₂³	1	2	yes	—
286	#20952	C₂³	1	4	yes	complemented
287	C₂×#1887	C₂³	1	2	yes	—
288	C₂×#1885	C₂³	1	2	yes	—
289	#20890	C₂³	1	8	yes	complemented
290	#20889	C₂³	1	8	yes	—
291	#20888	C₂³	1	8	yes	complemented
292	#20610	C₂³	1	8	yes	complemented
293	#20609	C₂³	1	8	yes	—
294	#20608	C₂³	1	8	yes	complemented
295	#20593	C₂³	1	2	yes	complemented
296	#20592	C₂³	1	4	yes	—
297	#20592	C₂³	1	2	yes	complemented
298	#20591	C₂³	1	4	yes	complemented
299	#13425	C₂³	1	32	yes	complemented
300	#13424	C₂³	1	32	yes	complemented
301	#13423	C₂³	1	32	yes	complemented
302	#13422	C₂³	1	32	yes	complemented
303	#13349	C₂³	1	32	yes	complemented
304	#13348	C₂³	1	32	yes	—
305	#13347	C₂³	1	32	yes	complemented
306	#13346	C₂³	1	32	yes	—
307	#13087	C₂³	1	32	yes	complemented
308	#13086	C₂³	1	32	yes	complemented
309	#13085	C₂³	1	32	yes	complemented
310	#13084	C₂³	1	32	yes	complemented
311	#13050	C₂³	1	16	yes	complemented
312	#13049	C₂³	1	16	yes	—
313	#13048	C₂³	1	16	yes	complemented
314	#13047	C₂³	1	16	yes	—
315	#12967	C₂³	1	16	yes	complemented
316	#12966	C₂³	1	16	yes	complemented
317	#12965	C₂³	1	16	yes	complemented
318	#12964	C₂³	1	16	yes	complemented
319	#12761	C₂³	1	16	yes	complemented
320	#12761	C₂³	1	16	yes	complemented
321	#12760	C₂³	1	8	yes	complemented
322	#12760	C₂³	1	8	yes	complemented
323	#12759	C₂³	1	8	yes	complemented
324	#12759	C₂³	1	8	yes	complemented
325	#12575	C₂³	1	8	yes	complemented
326	#12575	C₂³	1	8	yes	complemented
327	#12574	C₂³	1	8	yes	—
328	#12574	C₂³	1	8	yes	—
329	#12573	C₂³	1	8	yes	complemented
330	#12573	C₂³	1	8	yes	complemented
331	C₂×#585	C₂⁴	1	2	yes	—
332	C₂×#585	C₂⁴	1	2	yes	—
333	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
334	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
335	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
336	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic
337	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic, complemented
338	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic, complemented
339	C₂²×2₋¹⁺⁴	C₂⁴	1	1	yes	characteristic
340	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
341	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
342	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
343	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
344	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
345	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
346	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
347	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
348	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
349	C₂³×#41	C₂×D₄	1	1	yes	characteristic
350	C₂³×#41	C₂×D₄	1	1	yes	characteristic
351	C₂³×#41	C₂×D₄	1	1	yes	characteristic
352	C₂³×#41	C₂×D₄	1	2	yes	—
353	C₂³×#41	C₂×D₄	1	2	yes	—
354	C₂³×#41	C₂×D₄	1	4	yes	—
355	C₂³×#41	C₂×D₄	1	1	yes	characteristic
356	C₂³×#41	C₂×D₄	1	2	yes	—
357	C₂³×#41	C₂×D₄	1	2	yes	complemented
358	C₂³×#41	C₂×D₄	1	2	yes	complemented
359	C₂³×#41	C₂⁴	1	2	yes	—
360	C₂³×#41	C₂⁴	1	1	yes	characteristic
361	C₂⁵×C₄	C₂×D₄	1	2	yes	—
362	#3485	C₂⁴	1	8	yes	—
363	#3484	C₂⁴	1	8	yes	—
364	C₂×#559	C₂⁴	1	2	yes	—
365	C₂×#559	C₂⁴	1	2	yes	—
366	C₂×#551	C₂⁴	1	4	yes	—
367	C₂×#551	C₂⁴	1	4	yes	—
368	C₂×D₄²	C₂⁴	1	2	yes	—
369	C₂×D₄²	C₂⁴	1	2	yes	—
370	C₂×#536	C₂×D₄	1	2	yes	—
371	C₂×#536	C₂×D₄	1	1	yes	characteristic
372	C₂×#536	C₂×D₄	1	2	yes	—
373	C₂×#536	C₂×D₄	1	2	yes	—
374	C₂×#536	C₂×D₄	1	2	yes	complemented
375	C₂×#536	C₂×D₄	1	2	yes	complemented
376	C₂×#536	C₂×D₄	1	2	yes	complemented
377	C₂×#536	C₂×D₄	1	2	yes	complemented
378	C₂×#536	C₂×D₄	1	2	yes	complemented
379	C₂×#536	C₂×D₄	1	2	yes	complemented
380	C₂×#536	C₂×D₄	1	1	yes	characteristic, complemented
381	C₂×#536	C₂×D₄	1	1	yes	characteristic, complemented
382	C₂×#536	C₂⁴	1	1	yes	characteristic
383	C₂×#536	C₂⁴	1	2	yes	—
384	C₂×#535	C₂×D₄	1	1	yes	characteristic
385	C₂×#535	C₂×D₄	1	2	yes	—
386	C₂×#535	C₂×D₄	1	2	yes	—
387	C₂×#535	C₂×D₄	1	2	yes	—
388	C₂×#535	C₂×D₄	1	2	yes	—
389	C₂×#535	C₂×D₄	1	2	yes	complemented
390	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
391	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
392	C₂×#535	C₂×D₄	1	2	yes	complemented
393	C₂×#535	C₂⁴	1	1	yes	characteristic
394	C₂×#535	C₂⁴	1	2	yes	—
395	C₂×#535	C₂⁴	1	2	yes	—
396	C₂×#535	C₂⁴	1	2	yes	—
397	C₂×#535	C₂⁴	1	2	yes	—
398	C₂×#532	C₂×D₄	1	8	yes	—
399	C₂×#532	C₂×D₄	1	2	yes	—
400	C₂×#532	C₂×D₄	1	2	yes	—
401	C₂×#532	C₂×D₄	1	2	yes	—
402	C₂×#532	C₂×D₄	1	2	yes	—
403	C₂×#532	C₂×D₄	1	2	yes	—
404	C₂×#532	C₂×D₄	1	1	yes	characteristic
405	C₂×#532	C₂×D₄	1	1	yes	characteristic
406	C₂×#532	C₂×D₄	1	1	yes	characteristic
407	C₂×#532	C₂×D₄	1	1	yes	characteristic
408	C₂×#532	C₂×D₄	1	2	yes	complemented
409	C₂×#532	C₂×D₄	1	2	yes	complemented
410	C₂×#532	C₂×D₄	1	2	yes	complemented
411	C₂×#532	C₂×D₄	1	2	yes	complemented
412	C₂×#532	C₂×D₄	1	2	yes	complemented
413	C₂×#532	C₂×D₄	1	2	yes	complemented
414	C₂×#532	C₂×D₄	1	2	yes	complemented
415	C₂×#532	C₂×D₄	1	2	yes	complemented
416	C₂×#532	#41	1	8	yes	—
417	C₂×#532	C₂⁴	1	2	yes	—
418	C₂×#532	C₂⁴	1	2	yes	—
419	C₂×#532	C₂⁴	1	2	yes	—
420	C₂×#532	C₂⁴	1	1	yes	characteristic
421	C₂×#532	C₂⁴	1	1	yes	characteristic
422	C₂×#532	C₂⁴	1	1	yes	characteristic
423	C₂×#532	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
425	C₂²×C₄⋊Q₈	C₂×D₄	1	2	yes	complemented
426	C₂²×C₄⋊Q₈	C₂×D₄	1	2	yes	complemented
427	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
428	C₂²×#127	C₂×D₄	1	2	yes	—
429	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
430	C₂²×#127	C₂⁴	1	2	yes	—
431	C₂²×#127	C₂⁴	1	1	yes	characteristic
432	C₂²×#124	C₂×D₄	1	2	yes	—
433	C₂²×#124	C₂×D₄	1	1	yes	characteristic
434	C₂²×#124	C₂×D₄	1	2	yes	complemented
435	C₂²×#124	C₂×D₄	1	2	yes	complemented
436	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
437	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
438	C₂²×#124	C₂⁴	1	2	yes	—
439	C₂²×#124	C₂⁴	1	1	yes	characteristic
440	C₂×#525	C₂×D₄	1	4	yes	—
441	C₂×#525	C₂×D₄	1	4	yes	—
442	C₂×#525	C₂×D₄	1	4	yes	complemented
443	C₂×#525	C₂×D₄	1	4	yes	complemented
444	C₂×#525	C₂×D₄	1	8	yes	complemented
445	C₂×#525	C₂⁴	1	4	yes	—
446	C₂×#525	C₂⁴	1	4	yes	—
447	C₂²×#123	C₂×D₄	1	2	yes	—
448	C₂²×#123	C₂×D₄	1	4	yes	—
449	C₂²×#123	C₂×D₄	1	4	yes	—
450	C₂²×#123	C₂⁴	1	2	yes	—
451	C₂²×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
452	C₂²×#121	C₂×D₄	1	4	yes	complemented
453	C₂²×#120	C₂×D₄	1	2	yes	—
454	C₂²×#120	C₂×D₄	1	4	yes	—
455	C₂²×#120	C₂×D₄	1	4	yes	—
456	C₂²×#120	C₂⁴	1	2	yes	—
457	#3428	C₂⁴	1	2	yes	—
458	#3428	C₂⁴	1	2	yes	—
459	C₂×#518	C₂⁴	1	2	yes	—
460	C₂×C₄×#41	C₂×D₄	1	2	yes	—
461	C₂×C₄×#41	C₂×D₄	1	2	yes	—
462	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
463	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
464	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
465	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
466	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
467	C₂²×#117	C₂×D₄	1	1	yes	characteristic
468	C₂²×#117	C₂×D₄	1	2	yes	—
469	C₂²×#117	C₂×D₄	1	2	yes	—
470	C₂²×#117	C₂×D₄	1	2	yes	—
471	C₂²×#117	C₂×D₄	1	2	yes	complemented
472	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
473	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
474	C₂×#458	C₂⁴	1	16	yes	—
475	C₂×B(4,𝔽₂)	C₂⁴	1	16	yes	—
476	C₂×#455	C₂⁴	1	4	yes	—
477	C₂×#455	C₂⁴	1	4	yes	—
478	C₂×#455	C₂⁴	1	8	yes	—
479	C₂×#453	C₂⁴	1	4	yes	—
480	C₂×#453	C₂⁴	1	4	yes	—
481	C₂×#453	C₂⁴	1	8	yes	—
482	C₂×#413	C₂⁴	1	2	yes	—
483	C₂×#413	C₂⁴	1	2	yes	—
484	C₂×#413	C₂⁴	1	2	yes	—
485	C₂×#413	C₂⁴	1	2	yes	—
486	C₂²×#100	C₂⁴	1	2	yes	—
487	C₂²×#100	C₂⁴	1	2	yes	—
488	C₂×#410	C₂×D₄	1	16	yes	complemented
489	C₂×#410	C₂⁴	1	4	yes	—
490	C₂×#410	C₂⁴	1	4	yes	—
491	C₂×#410	C₂⁴	1	16	yes	—
492	C₂×#410	C₂⁴	1	4	yes	—
493	C₂×#410	C₂⁴	1	4	yes	—
494	C₂²×#99	C₂⁴	1	4	yes	—
495	C₂²×#99	C₂⁴	1	16	yes	—
496	C₂²×#99	C₂⁴	1	4	yes	—
497	#2717	C₂⁴	1	8	yes	—
498	#2709	C₂⁴	1	8	yes	—
499	#2684	C₂⁴	1	8	yes	—
500	#2669	C₂⁴	1	8	yes	—
501	#2406	C₂×D₄	1	8	yes	—
502	#2406	C₂×D₄	1	8	yes	complemented
503	#2406	C₂×D₄	1	8	yes	complemented
504	#2406	C₂⁴	1	8	yes	—
505	#2405	C₂×D₄	1	8	yes	—
506	#2405	C₂×D₄	1	8	yes	complemented
507	#2405	C₂×D₄	1	8	yes	complemented
508	#2405	C₂⁴	1	8	yes	—
509	#2404	C₂×D₄	1	8	yes	—
510	#2404	C₂×D₄	1	8	yes	complemented
511	#2404	C₂×D₄	1	8	yes	complemented
512	#2404	C₂⁴	1	8	yes	—
513	#2403	C₂×D₄	1	8	yes	—
514	#2403	C₂×D₄	1	8	yes	complemented
515	#2403	C₂×D₄	1	8	yes	complemented
516	#2403	C₂⁴	1	8	yes	—
517	#2380	C₂⁴	1	4	yes	—
518	#2379	C₂⁴	1	4	yes	—
519	#2372	C₂⁴	1	4	yes	—
520	#2366	C₂⁴	1	4	yes	—
521	#2311	C₂×D₄	1	4	yes	—
522	#2311	C₂×D₄	1	4	yes	complemented
523	#2311	C₂×D₄	1	4	yes	complemented
524	#2311	C₂⁴	1	4	yes	—
525	#2310	C₂×D₄	1	4	yes	complemented
526	#2309	C₂×D₄	1	4	yes	complemented
527	#2308	C₂×D₄	1	4	yes	—
528	#2308	C₂×D₄	1	4	yes	—
529	#2308	C₂×D₄	1	4	yes	—
530	#2308	C₂×D₄	1	4	yes	—
531	#2308	C₂×D₄	1	4	yes	—
532	#2308	C₂⁴	1	4	yes	—
533	#2297	C₂×D₄	1	4	yes	—
534	#2297	C₂×D₄	1	8	yes	complemented
535	#2297	C₂⁴	1	4	yes	—
536	#2280	C₂×D₄	1	8	yes	complemented
537	#2126	C₂×D₄	1	16	yes	complemented
538	#2126	C₂×D₄	1	16	yes	complemented
539	#2126	C₂×D₄	1	16	yes	complemented
540	#2126	C₂×D₄	1	16	yes	complemented
541	C₂×#354	C₂×D₄	1	16	yes	complemented
542	C₂×#354	C₂⁴	1	16	yes	—
543	C₂×#354	C₂⁴	1	4	yes	—
544	C₂×#354	C₂⁴	1	4	yes	—
545	C₂×#354	C₂⁴	1	4	yes	—
546	C₂×#354	C₂⁴	1	4	yes	—
547	C₂×#353	C₂×D₄	1	16	yes	complemented
548	C₂×#353	C₂⁴	1	16	yes	—
549	C₂×#353	C₂⁴	1	4	yes	—
550	C₂×#353	C₂⁴	1	4	yes	—
551	C₂×#353	C₂⁴	1	4	yes	—
552	C₂×#353	C₂⁴	1	4	yes	—
553	C₂×#352	C₂⁴	1	16	yes	—
554	C₂×#352	C₂⁴	1	16	yes	—
555	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
556	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
557	#1890	C₂⁴	1	16	yes	—
558	#1889	C₂⁴	1	16	yes	—
559	#1887	C₂⁴	1	4	yes	—
560	#1887	C₂⁴	1	8	yes	—
561	#1887	C₂⁴	1	4	yes	—
562	#1885	C₂⁴	1	4	yes	—
563	#1885	C₂⁴	1	8	yes	—
564	#1885	C₂⁴	1	4	yes	—
565	#1867	C₂⁴	1	32	yes	—
566	#1790	C₂⁴	1	32	yes	—
567	#1785	C₂⁴	1	8	yes	—
568	#1783	C₂⁴	1	8	yes	—
569	#1390	C₂⁴	1	32	yes	—
570	#1390	C₂⁴	1	32	yes	—
571	C₂⁶	C₂²×D₄	1	2	yes	—
572	C₂×H(5,𝔽₂)	C₂⁵	1	4	yes	—
573	C₂²×#41	#120	1	1	yes	characteristic
574	C₂²×#41	#120	1	2	yes	—
575	C₂²×#41	#120	1	2	yes	—
576	C₂²×#41	#120	1	4	yes	—
577	C₂²×#41	#120	1	4	yes	—
578	C₂²×#41	#120	1	2	yes	—
579	C₂²×#41	#120	1	2	yes	—
580	C₂²×#41	#120	1	4	yes	—
581	C₂²×#41	#120	1	2	yes	—
582	C₂²×#41	#120	1	4	yes	—
583	C₂²×#41	#120	1	4	yes	—
584	C₂²×#41	#120	1	4	yes	—
585	C₂²×#41	#120	1	1	yes	characteristic
586	C₂²×#41	#121	1	8	yes	complemented
587	C₂²×#41	C₂²×D₄	1	2	yes	—
588	C₂²×#41	C₂²×D₄	1	2	yes	—
589	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
590	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
591	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
592	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
593	C₂²×#41	C₂²×D₄	1	2	yes	—
594	C₂²×#41	C₂²×D₄	1	2	yes	—
595	C₂²×#41	C₂²×D₄	1	2	yes	—
596	C₂²×#41	C₂²×D₄	1	2	yes	—
597	C₂²×#41	C₂²×D₄	1	2	yes	—
598	C₂²×#41	C₂²×D₄	1	2	yes	—
599	C₂²×#41	C₂²×D₄	1	2	yes	—
600	C₂²×#41	C₂²×D₄	1	2	yes	—
601	C₂²×#41	C₂²×D₄	1	2	yes	—
602	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
603	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
604	C₂²×#41	C₂²×D₄	1	4	yes	—
605	C₂²×#41	C₂²×D₄	1	2	yes	—
606	C₂²×#41	C₂²×D₄	1	2	yes	—
607	C₂²×#41	C₂²×D₄	1	4	yes	—
608	C₂²×#41	C₂²×D₄	1	4	yes	—
609	C₂²×#41	C₂²×D₄	1	4	yes	—
610	C₂²×#41	C₂²×D₄	1	2	yes	—
611	C₂²×#41	C₂²×D₄	1	2	yes	—
612	C₂²×#41	C₂²×D₄	1	4	yes	—
613	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
614	C₂²×#41	C₂²×D₄	1	2	yes	—
615	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
616	C₂²×#41	C₂×#41	1	4	yes	—
617	C₂²×#41	H(5,𝔽₂)	1	8	yes	—
618	C₂²×#41	C₂⁵	1	2	yes	—
619	C₂²×#41	C₂⁵	1	1	yes	characteristic
620	C₂²×#41	C₂⁵	1	1	yes	characteristic
621	C₂³×Q₈	#120	1	1	yes	characteristic
622	C₂³×Q₈	#120	1	2	yes	—
623	C₂³×Q₈	#120	1	4	yes	—
624	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
625	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
626	C₂³×Q₈	C₂²×D₄	1	2	yes	—
627	C₂³×Q₈	C₂²×D₄	1	2	yes	—
628	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
629	C₂³×Q₈	C₂²×D₄	1	2	yes	—
630	C₂³×Q₈	C₂²×D₄	1	2	yes	—
631	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
632	C₂³×Q₈	C₂²×D₄	1	2	yes	—
633	C₂³×D₄	#120	1	2	yes	—
634	C₂³×D₄	#120	1	1	yes	characteristic
635	C₂³×D₄	#120	1	2	yes	—
636	C₂³×D₄	#120	1	2	yes	—
637	C₂³×D₄	#120	1	4	yes	—
638	C₂³×D₄	#120	1	4	yes	—
639	C₂³×D₄	C₂²×D₄	1	4	yes	—
640	C₂³×D₄	C₂²×D₄	1	4	yes	—
641	C₂³×D₄	C₂²×D₄	1	4	yes	—
642	C₂³×D₄	C₂²×D₄	1	4	yes	—
643	C₂³×D₄	C₂²×D₄	1	2	yes	—
644	C₂³×D₄	C₂²×D₄	1	4	yes	—
645	C₂³×D₄	C₂²×D₄	1	2	yes	—
646	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
647	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
648	C₂³×D₄	C₂²×D₄	1	2	yes	—
649	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
650	C₂³×D₄	C₂²×D₄	1	2	yes	—
651	C₂³×D₄	C₂²×D₄	1	2	yes	—
652	C₂³×D₄	C₂²×D₄	1	8	yes	—
653	C₂³×D₄	C₂⁵	1	2	yes	—
654	C₂³×D₄	C₂⁵	1	1	yes	characteristic
655	C₂⁴×C₄	#120	1	4	yes	—
656	C₂⁴×C₄	#120	1	2	yes	—
657	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
658	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
659	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
660	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
661	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
662	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
663	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
664	#532	#121	1	8	yes	complemented
665	#532	#121	1	8	yes	complemented
666	#532	#121	1	8	yes	complemented
667	#532	#121	1	8	yes	complemented
668	#532	C₂²×D₄	1	4	yes	—
669	#532	C₂²×D₄	1	4	yes	—
670	#532	C₂²×D₄	1	4	yes	—
671	#532	C₂²×D₄	1	4	yes	—
672	#532	C₂×#41	1	4	yes	—
673	#532	C₂×#41	1	4	yes	—
674	#532	C₂×#41	1	4	yes	—
675	#532	C₂×#41	1	4	yes	—
676	C₂×C₄⋊Q₈	#121	1	8	yes	complemented
677	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
678	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
679	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
680	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
681	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
682	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
683	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
684	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
685	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
686	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
687	C₂×#127	C₂²×D₄	1	4	yes	—
688	C₂×#127	C₂²×D₄	1	2	yes	—
689	C₂×#127	C₂²×D₄	1	2	yes	—
690	C₂×#127	C₂²×D₄	1	2	yes	—
691	C₂×#127	C₂²×D₄	1	2	yes	—
692	C₂×#127	C₂²×D₄	1	2	yes	—
693	C₂×#127	C₂²×D₄	1	1	yes	characteristic
694	C₂×#127	C₂²×D₄	1	1	yes	characteristic
695	C₂×#127	C₂×#41	1	4	yes	—
696	C₂×#127	C₂⁵	1	2	yes	—
697	C₂×#127	C₂⁵	1	1	yes	characteristic
698	C₂×#127	C₂⁵	1	1	yes	characteristic
699	C₂×#124	#121	1	8	yes	complemented
700	C₂×#124	C₂²×D₄	1	4	yes	—
701	C₂×#124	C₂²×D₄	1	2	yes	—
702	C₂×#124	C₂²×D₄	1	2	yes	—
703	C₂×#124	C₂²×D₄	1	2	yes	—
704	C₂×#124	C₂²×D₄	1	2	yes	—
705	C₂×#124	C₂²×D₄	1	2	yes	—
706	C₂×#124	C₂²×D₄	1	2	yes	—
707	C₂×#124	C₂²×D₄	1	2	yes	—
708	C₂×#124	C₂²×D₄	1	2	yes	—
709	C₂×#124	C₂²×D₄	1	2	yes	—
710	C₂×#124	C₂²×D₄	1	2	yes	—
711	C₂×#124	C₂²×D₄	1	2	yes	—
712	C₂×#124	C₂²×D₄	1	1	yes	characteristic
713	C₂×#124	C₂²×D₄	1	1	yes	characteristic
714	C₂×#124	C₂²×D₄	1	1	yes	characteristic
715	C₂×#124	C₂²×D₄	1	1	yes	characteristic
716	C₂×#124	C₂²×D₄	1	1	yes	characteristic
717	C₂×#124	C₂²×D₄	1	1	yes	characteristic
718	C₂×#124	C₂×#41	1	4	yes	—
719	C₂×#124	C₂⁵	1	2	yes	—
720	C₂×#124	C₂⁵	1	1	yes	characteristic
721	C₂×#124	C₂⁵	1	1	yes	characteristic
722	C₂×#123	C₂²×D₄	1	4	yes	—
723	C₂×#123	C₂²×D₄	1	4	yes	—
724	C₂×#123	C₂²×D₄	1	4	yes	—
725	C₂×#123	C₂²×D₄	1	8	yes	—
726	C₂×#123	C₂²×D₄	1	8	yes	—
727	C₂×#123	C₂⁵	1	4	yes	—
728	C₂×#120	C₂²×D₄	1	4	yes	—
729	C₂×#120	C₂²×D₄	1	4	yes	—
730	C₂×#120	C₂²×D₄	1	4	yes	—
731	C₂×#120	C₂²×D₄	1	8	yes	—
732	C₂×#120	C₂²×D₄	1	8	yes	—
733	C₂×#120	C₂⁵	1	4	yes	—
734	#518	C₂⁵	1	4	yes	—
735	C₂×#117	C₂²×D₄	1	4	yes	—
736	C₂×#117	C₂²×D₄	1	4	yes	—
737	C₂×#117	C₂²×D₄	1	4	yes	—
738	C₂×#117	C₂²×D₄	1	4	yes	—
739	C₂×#117	C₂²×D₄	1	2	yes	—
740	C₂×#117	C₂²×D₄	1	1	yes	characteristic
741	C₂×#117	C₂²×D₄	1	1	yes	characteristic
742	C₂×#117	C₂²×D₄	1	2	yes	—
743	C₂×#117	C₂²×D₄	1	2	yes	—
744	C₂×#117	C₂²×D₄	1	2	yes	—
745	C₂×#117	C₂²×D₄	1	2	yes	—
746	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
747	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
748	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
749	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
750	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
751	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
752	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
753	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
754	C₂²×C₄²	#121	1	8	yes	complemented
755	C₂²×C₄²	C₂²×D₄	1	2	yes	—
756	C₂²×C₄²	C₂²×D₄	1	2	yes	—
757	C₂²×C₄²	C₂²×D₄	1	2	yes	—
758	C₂²×C₄²	C₂²×D₄	1	2	yes	—
759	C₂²×C₄²	C₂²×D₄	1	2	yes	—
760	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
761	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
762	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
763	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
764	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
765	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
766	C₂²×C₄²	C₂²×D₄	1	4	yes	—
767	C₂×#100	C₂⁵	1	4	yes	—
768	C₂×#100	C₂⁵	1	4	yes	—
769	#410	C₂²×D₄	1	16	yes	—
770	#410	C₂²×D₄	1	16	yes	—
771	C₂×#99	C₂²×D₄	1	16	yes	—
772	C₂×#99	C₂⁵	1	8	yes	—
773	C₂×#99	C₂⁵	1	8	yes	—
774	#386	C₂²×D₄	1	8	yes	—
775	#386	C₂²×D₄	1	8	yes	—
776	#386	C₂²×D₄	1	8	yes	—
777	#386	C₂²×D₄	1	8	yes	—
778	#386	C₂²×D₄	1	8	yes	—
779	#386	C₂²×D₄	1	8	yes	—
780	#386	C₂²×D₄	1	8	yes	—
781	#386	C₂⁵	1	8	yes	—
782	#381	C₂²×D₄	1	8	yes	—
783	#381	C₂²×D₄	1	8	yes	—
784	#379	C₂²×D₄	1	8	yes	—
785	#379	C₂²×D₄	1	8	yes	—
786	#354	C₂²×D₄	1	16	yes	—
787	#354	C₂²×D₄	1	16	yes	—
788	#353	C₂²×D₄	1	16	yes	—
789	#353	C₂²×D₄	1	16	yes	—
790	C₂⁵	C₂×#120	1	2	yes	—
791	C₂⁵	C₂×#120	1	1	yes	characteristic
792	C₂⁵	C₂×#120	1	4	yes	—
793	C₂⁵	C₂×#120	1	2	yes	—
794	C₂⁵	C₂³×D₄	1	4	yes	—
795	C₂⁵	C₂³×D₄	1	2	yes	—
796	C₂⁵	C₂³×D₄	1	4	yes	—
797	C₂×#41	B(4,𝔽₂)	1	2	yes	—
798	C₂×#41	B(4,𝔽₂)	1	2	yes	—
799	C₂×#41	B(4,𝔽₂)	1	2	yes	—
800	C₂×#41	B(4,𝔽₂)	1	2	yes	—
801	C₂×#41	C₂×#121	1	4	yes	—
802	C₂×#41	C₂×#121	1	4	yes	—
803	C₂×#41	C₂×#121	1	4	yes	—
804	C₂×#41	C₂×#121	1	4	yes	—
805	C₂×#41	C₂×#121	1	4	yes	—
806	C₂×#41	C₂×#121	1	4	yes	—
807	C₂×#41	#534	1	4	yes	—
808	C₂×#41	#534	1	4	yes	—
809	C₂×#41	D₄²	1	8	yes	—
810	C₂×#41	D₄²	1	8	yes	—
811	C₂×#41	#546	1	8	yes	—
812	C₂×#41	#546	1	8	yes	—
813	C₂×#41	C₂³×D₄	1	2	yes	—
814	C₂×#41	C₂³×D₄	1	2	yes	—
815	C₂×#41	C₂²×#41	1	2	yes	—
816	C₂×#41	C₂²×#41	1	2	yes	—
817	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
818	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
819	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
820	C₂²×Q₈	C₂×#120	1	2	yes	—
821	C₂²×Q₈	C₂×#120	1	2	yes	—
822	C₂²×Q₈	C₂×#120	1	4	yes	—
823	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
824	C₂²×Q₈	C₂×#120	1	4	yes	—
825	C₂²×Q₈	C₂×#120	1	2	yes	—
826	C₂²×Q₈	C₂×#121	1	4	yes	—
827	C₂²×Q₈	C₂×#121	1	4	yes	—
828	C₂²×Q₈	#534	1	4	yes	—
829	C₂²×Q₈	C₂³×D₄	1	2	yes	—
830	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
831	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
832	C₂²×Q₈	C₂³×D₄	1	2	yes	—
833	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
834	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
835	C₂²×D₄	C₂×#120	1	2	yes	—
836	C₂²×D₄	C₂×#120	1	1	yes	characteristic
837	C₂²×D₄	C₂×#120	1	4	yes	—
838	C₂²×D₄	C₂×#120	1	2	yes	—
839	C₂²×D₄	C₂×#120	1	2	yes	—
840	C₂²×D₄	C₂×#120	1	2	yes	—
841	C₂²×D₄	C₂×#120	1	2	yes	—
842	C₂²×D₄	C₂×#120	1	4	yes	—
843	C₂²×D₄	C₂×#120	1	4	yes	—
844	C₂²×D₄	C₂×#120	1	4	yes	—
845	C₂²×D₄	C₂×#120	1	2	yes	—
846	C₂²×D₄	C₂×#120	1	1	yes	characteristic
847	C₂²×D₄	C₂×#120	1	4	yes	—
848	C₂²×D₄	C₂×#120	1	4	yes	—
849	C₂²×D₄	C₂×#120	1	2	yes	—
850	C₂²×D₄	C₂×#120	1	2	yes	—
851	C₂²×D₄	C₂×#121	1	4	yes	—
852	C₂²×D₄	D₄²	1	8	yes	—
853	C₂²×D₄	#546	1	8	yes	—
854	C₂²×D₄	C₂³×D₄	1	2	yes	—
855	C₂²×D₄	C₂³×D₄	1	2	yes	—
856	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
857	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
858	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
859	C₂²×D₄	C₂³×D₄	1	4	yes	—
860	C₂²×D₄	C₂³×D₄	1	4	yes	—
861	C₂²×D₄	C₂³×D₄	1	2	yes	—
862	C₂²×D₄	C₂³×D₄	1	2	yes	—
863	C₂²×D₄	C₂³×D₄	1	2	yes	—
864	C₂²×D₄	C₂³×D₄	1	2	yes	—
865	C₂²×D₄	C₂²×#41	1	2	yes	—
866	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
867	C₂²×D₄	C₂⁶	1	1	yes	characteristic
868	C₂³×C₄	C₂×#120	1	2	yes	—
869	C₂³×C₄	C₂×#120	1	4	yes	—
870	C₂³×C₄	C₂×#120	1	4	yes	—
871	C₂³×C₄	C₂×#120	1	2	yes	—
872	C₂³×C₄	C₂×#120	1	4	yes	—
873	C₂³×C₄	C₂×#120	1	2	yes	—
874	C₂³×C₄	C₂×#120	1	2	yes	—
875	C₂³×C₄	C₂×#120	1	1	yes	characteristic
876	C₂³×C₄	C₂×#120	1	2	yes	—
877	C₂³×C₄	C₂×#120	1	1	yes	characteristic
878	C₂³×C₄	C₂×#120	1	2	yes	—
879	C₂³×C₄	C₂×#120	1	4	yes	—
880	C₂³×C₄	C₂×#120	1	4	yes	—
881	C₂³×C₄	C₂×#120	1	2	yes	—
882	C₂³×C₄	C₂×#120	1	4	yes	—
883	C₂³×C₄	C₂×#120	1	4	yes	—
884	C₂³×C₄	C₂×#120	1	1	yes	characteristic
885	C₂³×C₄	C₂×#121	1	4	yes	—
886	C₂³×C₄	#534	1	4	yes	—
887	C₂³×C₄	D₄²	1	8	yes	—
888	C₂³×C₄	#546	1	8	yes	—
889	C₂³×C₄	C₂³×D₄	1	2	yes	—
890	C₂³×C₄	C₂³×D₄	1	2	yes	—
891	C₂³×C₄	C₂³×D₄	1	4	yes	—
892	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
893	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
894	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
895	C₂³×C₄	C₂³×D₄	1	2	yes	—
896	C₂³×C₄	C₂³×D₄	1	2	yes	—
897	C₂³×C₄	C₂³×D₄	1	4	yes	—
898	C₂³×C₄	C₂³×D₄	1	8	yes	—
899	C₄⋊Q₈	C₂×#121	1	4	yes	—
900	C₄⋊Q₈	C₂×#121	1	4	yes	—
901	C₄⋊Q₈	C₂×#121	1	4	yes	—
902	C₄⋊Q₈	C₂×#121	1	4	yes	—
903	#127	C₂×#121	1	4	yes	—
904	#127	C₂×#121	1	4	yes	—
905	#127	C₂³×D₄	1	2	yes	—
906	#127	C₂³×D₄	1	2	yes	—
907	#127	C₂²×#41	1	2	yes	—
908	#127	C₂²×#41	1	2	yes	—
909	#124	C₂×#121	1	4	yes	—
910	#124	C₂×#121	1	4	yes	—
911	#124	C₂×#121	1	4	yes	—
912	#124	C₂×#121	1	4	yes	—
913	#124	C₂×#121	1	4	yes	—
914	#124	C₂×#121	1	4	yes	—
915	#124	C₂³×D₄	1	2	yes	—
916	#124	C₂³×D₄	1	2	yes	—
917	#124	C₂²×#41	1	2	yes	—
918	#124	C₂²×#41	1	2	yes	—
919	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
920	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
921	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
922	C₂×C₄²	C₂×#121	1	4	yes	—
923	C₂×C₄²	C₂×#121	1	4	yes	—
924	C₂×C₄²	C₂×#121	1	4	yes	—
925	C₂×C₄²	C₂×#121	1	4	yes	—
926	C₂×C₄²	C₂×#121	1	4	yes	—
927	C₂×C₄²	C₂×#121	1	4	yes	—
928	C₂×C₄²	C₂³×D₄	1	2	yes	—
929	C₂×C₄²	C₂³×D₄	1	2	yes	—
930	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
931	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
932	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
933	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
934	#99	C₂³×D₄	1	16	yes	—
935	C₂⁴	#2410	1	4	yes	—
936	C₂⁴	C₂²×#120	1	4	yes	—
937	C₂⁴	C₂²×#120	1	2	yes	—
938	C₂⁴	C₂²×#120	1	2	yes	—
939	C₂⁴	C₂²×#120	1	1	yes	characteristic
940	C₂⁴	C₂²×#120	1	1	yes	characteristic
941	C₂⁴	C₂²×#120	1	2	yes	—
942	C₂⁴	C₂²×#120	1	1	yes	characteristic
943	C₂⁴	C₂×D₄²	1	4	yes	—
944	C₂⁴	C₂×#546	1	4	yes	—
945	C₂⁴	C₂⁴×D₄	1	2	yes	—
946	C₂×Q₈	#2410	1	8	yes	—
947	C₂×Q₈	C₂×B(4,𝔽₂)	1	2	yes	—
948	C₂×Q₈	C₂×B(4,𝔽₂)	1	2	yes	—
949	C₂×Q₈	C₂²×#121	1	2	yes	—
950	C₂×Q₈	C₂²×#121	1	2	yes	—
951	C₂×Q₈	C₂²×#121	1	2	yes	—
952	C₂×Q₈	C₂²×#121	1	2	yes	—
953	C₂×Q₈	C₂×#534	1	2	yes	—
954	C₂×Q₈	C₂×#534	1	2	yes	—
955	C₂×D₄	#2410	1	8	yes	—
956	C₂×D₄	#2410	1	8	yes	—
957	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
958	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
959	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
960	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
961	C₂×D₄	C₂²×#121	1	2	yes	—
962	C₂×D₄	C₂²×#121	1	2	yes	—
963	C₂×D₄	C₂²×#121	1	2	yes	—
964	C₂×D₄	C₂×#534	1	2	yes	—
965	C₂×D₄	C₂×D₄²	1	4	yes	—
966	C₂×D₄	C₂×D₄²	1	4	yes	—
967	C₂×D₄	C₂×D₄²	1	4	yes	—
968	C₂×D₄	C₂×#546	1	4	yes	—
969	C₂×D₄	C₂×#546	1	4	yes	—
970	C₂×D₄	C₂×#546	1	4	yes	—
971	C₂×D₄	C₂⁴×D₄	1	1	yes	characteristic
972	C₂×D₄	C₂³×#41	1	1	yes	characteristic
973	C₂×D₄	C₂²×H(5,𝔽₂)	1	2	yes	—
974	C₂²×C₄	#2410	1	4	yes	—
975	C₂²×C₄	#2410	1	4	yes	—
976	C₂²×C₄	#2410	1	8	yes	—
977	C₂²×C₄	#2410	1	8	yes	—
978	C₂²×C₄	#2410	1	8	yes	—
979	C₂²×C₄	#2410	1	4	yes	—
980	C₂²×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
981	C₂²×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
982	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
983	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
984	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
985	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
986	C₂²×C₄	#3026	1	4	yes	—
987	C₂²×C₄	C₂²×#120	1	2	yes	—
988	C₂²×C₄	C₂²×#120	1	4	yes	—
989	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
990	C₂²×C₄	C₂²×#120	1	2	yes	—
991	C₂²×C₄	C₂²×#120	1	2	yes	—
992	C₂²×C₄	C₂²×#120	1	2	yes	—
993	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
994	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
995	C₂²×C₄	C₂²×#121	1	2	yes	—
996	C₂²×C₄	C₂²×#121	1	2	yes	—
997	C₂²×C₄	C₂²×#121	1	2	yes	—
998	C₂²×C₄	C₂×#534	1	2	yes	—
999	C₂²×C₄	C₂×#534	1	2	yes	—
1000	C₂²×C₄	C₂×#534	1	2	yes	—
1001	C₂²×C₄	C₂×D₄²	1	4	yes	—
1002	C₂²×C₄	C₂×D₄²	1	4	yes	—
1003	C₂²×C₄	C₂×#546	1	4	yes	—
1004	C₂²×C₄	C₂×#546	1	4	yes	—
1005	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1006	C₄²	C₂²×#121	1	2	yes	—
1007	C₄²	C₂²×#121	1	2	yes	—
1008	C₄²	C₂²×#121	1	2	yes	—
1009	C₄²	C₂²×#121	1	2	yes	—
1010	C₂³	C₂×#2410	1	4	yes	—
1011	C₂³	C₂×#2410	1	2	yes	—
1012	C₂³	C₂×#2410	1	2	yes	—
1013	C₂³	C₂×#2410	1	2	yes	—
1014	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1015	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1016	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1017	C₂³	C₂×#3026	1	2	yes	—
1018	C₂³	C₂³×#120	1	1	yes	characteristic
1019	C₂³	C₂²×D₄²	1	2	yes	—
1020	C₂³	C₂²×#546	1	2	yes	—
1021	C₂×C₄	#24404	1	4	yes	—
1022	C₂×C₄	#24404	1	4	yes	—
1023	C₂×C₄	#24404	1	4	yes	—
1024	C₂×C₄	#24404	1	4	yes	—
1025	C₂×C₄	C₂×#2410	1	2	yes	—
1026	C₂×C₄	C₂×#2410	1	4	yes	—
1027	C₂×C₄	C₂×#2410	1	4	yes	—
1028	C₂×C₄	C₂×#2410	1	2	yes	—
1029	C₂×C₄	C₂×#2410	1	2	yes	—
1030	C₂×C₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1031	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1032	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1033	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1034	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1035	C₂×C₄	C₂×#3026	1	2	yes	—
1036	C₂×C₄	C₂×#3026	1	2	yes	—
1037	C₂×C₄	C₂³×#121	1	1	yes	characteristic
1038	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1039	C₂²	C₂×#24404	1	2	yes	—
1040	C₂²	C₂×#24404	1	2	yes	—
1041	C₂²	C₂²×#2410	1	1	yes	characteristic
1042	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1043	C₂²	C₂²×#3026	1	1	yes	characteristic
1044	C₄	C₂×#24404	1	2	yes	—
1045	C₄	C₂×#24404	1	2	yes	—
1046	C₄	C₂×#24404	1	2	yes	—
1047	C₄	C₂×#24404	1	2	yes	—
1048	C₂	#72237528	1	2	yes	—
1049	C₂	C₂²×#24404	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×B(4,𝔽₂)
commutator, Frattini, cosocle	C₂²×D₄	C₂⁶
socle	C₂²	C₂³×B(4,𝔽₂)
LCS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×#41 ◁ C₂²×#585 ◁ G
LECS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#493577	C₂	semidirect
2. #72313013	C₂	semidirect
3. #72312819	C₂	semidirect
4. #72312684	C₂	semidirect
5. #72312474	C₂	semidirect
6. #72312397	C₂	semidirect
7. C₂×#7622466	C₂	semidirect
8. #72306984	C₂	semidirect
9. #72306947	C₂	semidirect
10. #72306418	C₂	semidirect
11. #72303224	C₂	semidirect
12. #72302949	C₂	semidirect
13. #72302921	C₂	semidirect
14. #72286184	C₂	semidirect
15. #72284368	C₂	semidirect
16. #72280733	C₂	semidirect
17. #72257321	C₂	semidirect
18. #72256636	C₂	semidirect
19. C₂²×#33546	C₂	semidirect
20. #72249464	C₂	semidirect
21. #10586020	C₂²	semidirect
24. C₂²×#3025	C₂²	semidirect
25. C₂×#60387	C₂²	semidirect
27. C₂×#60070	C₂²	semidirect
28. #7739384	C₂²	semidirect
29. #7739315	C₂²	semidirect
30. #7739265	C₂²	semidirect
31. #7739265	C₂²	semidirect
32. #7737652	C₂²	semidirect
33. #7737411	C₂²	semidirect
34. #7737041	C₂²	semidirect
35. #7708257	C₂²	semidirect
36. #7666965	C₂²	semidirect
40. C₂×#33546	C₂²	semidirect
41. C₂×#33546	C₂²	semidirect
42. C₂×#33546	C₂²	semidirect
43. C₂×#33546	C₂²	semidirect
44. C₂²×#2198	C₂²	semidirect
45. C₂²×#2197	C₂²	semidirect
46. C₂²×#2196	C₂²	semidirect
47. C₂×#33362	C₂²	semidirect
48. C₂×#33360	C₂²	semidirect
49. C₂×#33361	C₂²	semidirect
50. C₂×#33361	C₂²	semidirect
51. C₂×#33359	C₂²	semidirect
52. C₂×#33359	C₂²	semidirect
53. C₂×#33358	C₂²	semidirect
54. C₂×#33358	C₂²	semidirect
57. C₂²×#2126	C₂²	semidirect
58. C₂²×#2120	C₂²	semidirect
59. C₂²×#2120	C₂²	semidirect
60. #6438002	C₂²	semidirect
61. #6438001	C₂²	semidirect
62. #6438000	C₂²	semidirect
63. #6437999	C₂²	semidirect
64. #6437994	C₂²	semidirect
65. #6437457	C₂²	semidirect
67. #6437455	C₂²	semidirect
68. #6437454	C₂²	semidirect
69. #6437453	C₂²	semidirect
70. #6437452	C₂²	semidirect
71. #6437444	C₂²	semidirect
72. #6437437	C₂²	semidirect
73. C₂×#20959	C₂²	semidirect
74. #6371454	C₂²	semidirect
76. #6371336	C₂²	semidirect
77. #6370734	C₂²	semidirect
78. #6370703	C₂²	semidirect
79. #501101	C₂²	semidirect
80. #501100	C₂²	semidirect
81. #501099	C₂²	semidirect
82. #501098	C₂²	semidirect
83. #501097	C₂²	semidirect
84. #501096	C₂²	semidirect
85. #501089	C₂²	semidirect
86. #501088	C₂²	semidirect
87. #501087	C₂²	semidirect
88. #501086	C₂²	semidirect
89. #501085	C₂²	semidirect
90. #501084	C₂²	semidirect
91. #499140	C₂²	semidirect
92. #499139	C₂²	semidirect
93. #499138	C₂²	semidirect
94. #499137	C₂²	semidirect
95. #499132	C₂²	semidirect
96. #498930	C₂²	semidirect
97. #498929	C₂²	semidirect
98. #498928	C₂²	semidirect
99. #498927	C₂²	semidirect
100. #498922	C₂²	semidirect
101. #494702	C₂²	semidirect
102. #494701	C₂²	semidirect
103. #494700	C₂²	semidirect
104. #494699	C₂²	semidirect
105. #494694	C₂²	semidirect
106. #494599	C₂²	semidirect
107. #494598	C₂²	semidirect
108. #494597	C₂²	semidirect
109. #494596	C₂²	semidirect
110. #494595	C₂²	semidirect
111. #494592	C₂²	semidirect
112. #494373	C₂²	semidirect
113. #494372	C₂²	semidirect
114. #494371	C₂²	semidirect
115. #494370	C₂²	semidirect
116. #494369	C₂²	semidirect
117. #494366	C₂²	semidirect
118. #493577	C₂²	semidirect
119. #493577	C₂²	semidirect
120. #493577	C₂²	semidirect
121. #493577	C₂²	semidirect
122. C₂×#12760	C₂²	semidirect
123. C₂×#12761	C₂²	semidirect
124. C₂×#12759	C₂²	semidirect
125. #492886	C₂²	semidirect
126. #492886	C₂²	semidirect
127. C₂²×#585	D₄	semidirect
130. #62859	C₂³	semidirect
131. #62852	C₂³	semidirect
133. #62811	C₂³	semidirect
134. C₂×#3500	D₄	semidirect
135. C₂×#3500	D₄	semidirect
136. C₂×#3500	D₄	semidirect
140. C₂×#3499	D₄	semidirect
141. C₂×#3499	D₄	semidirect
143. C₂×#3498	D₄	semidirect
153. C₂×#3449	D₄	semidirect
154. C₂×#3449	D₄	semidirect
157. C₂²×#532	D₄	semidirect
158. C₂²×#532	D₄	semidirect
161. C₂²×#525	D₄	semidirect
162. C₂²×#525	D₄	semidirect
165. C₂²×C₄×#41	D₄	semidirect
170. C₂×#3022	C₂³	semidirect
171. C₂×#3021	C₂³	semidirect
177. C₂×#3018	C₂³	semidirect
182. C₂×#2884	C₂³	semidirect
184. C₂×#2883	C₂³	semidirect
187. C₂²×#410	C₂³	semidirect
188. #59184	C₂³	semidirect
189. #59162	C₂³	semidirect
190. #59143	C₂³	semidirect
191. #59126	C₂³	semidirect
192. #59070	C₂³	semidirect
193. #59041	C₂³	semidirect
195. #52054	C₂³	semidirect
196. #52054	C₂³	semidirect
197. #52004	C₂³	semidirect
198. #52004	C₂³	semidirect
199. #51895	C₂³	semidirect
200. #51530	C₂³	semidirect
205. #35659	D₄	semidirect
207. #35512	D₄	semidirect
209. #35446	D₄	semidirect
211. #35346	D₄	semidirect
213. #34736	D₄	semidirect
221. #34044	D₄	semidirect
222. #34044	D₄	semidirect
230. C₂×#2129	C₂³	semidirect
231. C₂×#2129	C₂³	semidirect
232. C₂×#2128	C₂³	semidirect
233. C₂×#2128	C₂³	semidirect
235. C₂×#2127	C₂³	semidirect
236. C₂×#2127	C₂³	semidirect
237. C₂×#2126	D₄	semidirect
246. C₂×#2126	C₂³	semidirect
247. C₂×#2126	C₂³	semidirect
248. C₂×#2126	C₂³	semidirect
251. C₂²×#354	C₂³	semidirect
254. C₂²×#353	C₂³	semidirect
263. #24407	C₂³	semidirect
265. #24405	C₂³	semidirect
267. #23914	C₂³	semidirect
270. #23912	C₂³	semidirect
272. #23908	C₂³	semidirect
273. #23907	C₂³	semidirect
279. #20956	C₂³	semidirect
280. #20955	C₂³	semidirect
286. #20952	C₂³	semidirect
289. #20890	C₂³	semidirect
291. #20888	C₂³	semidirect
292. #20610	C₂³	semidirect
294. #20608	C₂³	semidirect
295. #20593	C₂³	semidirect
297. #20592	C₂³	semidirect
298. #20591	C₂³	semidirect
299. #13425	C₂³	semidirect
300. #13424	C₂³	semidirect
301. #13423	C₂³	semidirect
302. #13422	C₂³	semidirect
303. #13349	C₂³	semidirect
305. #13347	C₂³	semidirect
307. #13087	C₂³	semidirect
308. #13086	C₂³	semidirect
309. #13085	C₂³	semidirect
310. #13084	C₂³	semidirect
311. #13050	C₂³	semidirect
313. #13048	C₂³	semidirect
315. #12967	C₂³	semidirect
316. #12966	C₂³	semidirect
317. #12965	C₂³	semidirect
318. #12964	C₂³	semidirect
319. #12761	C₂³	semidirect
320. #12761	C₂³	semidirect
321. #12760	C₂³	semidirect
322. #12760	C₂³	semidirect
323. #12759	C₂³	semidirect
324. #12759	C₂³	semidirect
325. #12575	C₂³	semidirect
326. #12575	C₂³	semidirect
329. #12573	C₂³	semidirect
330. #12573	C₂³	semidirect
337. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
338. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
344. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
345. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
357. C₂³×#41	C₂×D₄	semidirect
358. C₂³×#41	C₂×D₄	semidirect
374. C₂×#536	C₂×D₄	semidirect
375. C₂×#536	C₂×D₄	semidirect
376. C₂×#536	C₂×D₄	semidirect
377. C₂×#536	C₂×D₄	semidirect
378. C₂×#536	C₂×D₄	semidirect
379. C₂×#536	C₂×D₄	semidirect
380. C₂×#536	C₂×D₄	semidirect
381. C₂×#536	C₂×D₄	semidirect
389. C₂×#535	C₂×D₄	semidirect
390. C₂×#535	C₂×D₄	semidirect
391. C₂×#535	C₂×D₄	semidirect
392. C₂×#535	C₂×D₄	semidirect
408. C₂×#532	C₂×D₄	semidirect
409. C₂×#532	C₂×D₄	semidirect
410. C₂×#532	C₂×D₄	semidirect
411. C₂×#532	C₂×D₄	semidirect
412. C₂×#532	C₂×D₄	semidirect
413. C₂×#532	C₂×D₄	semidirect
414. C₂×#532	C₂×D₄	semidirect
415. C₂×#532	C₂×D₄	semidirect
425. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
426. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
427. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
429. C₂²×#127	C₂×D₄	semidirect
434. C₂²×#124	C₂×D₄	semidirect
435. C₂²×#124	C₂×D₄	semidirect
436. C₂²×#124	C₂×D₄	semidirect
437. C₂²×#124	C₂×D₄	semidirect
442. C₂×#525	C₂×D₄	semidirect
443. C₂×#525	C₂×D₄	semidirect
444. C₂×#525	C₂×D₄	semidirect
451. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
452. C₂²×#121	C₂×D₄	semidirect
462. C₂×C₄×#41	C₂×D₄	semidirect
463. C₂×C₄×#41	C₂×D₄	semidirect
464. C₂×C₄×#41	C₂×D₄	semidirect
465. C₂×C₄×#41	C₂×D₄	semidirect
466. C₂²×C₄×D₄	C₂×D₄	semidirect
471. C₂²×#117	C₂×D₄	semidirect
473. C₂³×C₄²	C₂×D₄	semidirect
488. C₂×#410	C₂×D₄	semidirect
502. #2406	C₂×D₄	semidirect
503. #2406	C₂×D₄	semidirect
506. #2405	C₂×D₄	semidirect
507. #2405	C₂×D₄	semidirect
510. #2404	C₂×D₄	semidirect
511. #2404	C₂×D₄	semidirect
514. #2403	C₂×D₄	semidirect
515. #2403	C₂×D₄	semidirect
522. #2311	C₂×D₄	semidirect
523. #2311	C₂×D₄	semidirect
525. #2310	C₂×D₄	semidirect
526. #2309	C₂×D₄	semidirect
534. #2297	C₂×D₄	semidirect
536. #2280	C₂×D₄	semidirect
537. #2126	C₂×D₄	semidirect
538. #2126	C₂×D₄	semidirect
539. #2126	C₂×D₄	semidirect
540. #2126	C₂×D₄	semidirect
541. C₂×#354	C₂×D₄	semidirect
547. C₂×#353	C₂×D₄	semidirect
586. C₂²×#41	#121	semidirect
664. #532	#121	semidirect
665. #532	#121	semidirect
666. #532	#121	semidirect
667. #532	#121	semidirect
676. C₂×C₄⋊Q₈	#121	semidirect
699. C₂×#124	#121	semidirect
754. C₂²×C₄²	#121	semidirect

Maximal subgroups

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

subgroup	index
C₂×#493577	2
#72313013	2
#72312819	2
#72312684	2
#72312474	2
#72312397	2
C₂×#7622466	2
#72306984	2
#72306947	2
#72306418	2
#72303224	2
#72302949	2
#72302921	2
#72286184	2
#72284368	2
#72280733	2
#72257321	2
#72256636	2
C₂²×#33546	2
#72249464	2