Subgroups — #72313031

Order 2048.

Only the 38804 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1301 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72312892	C₂	1	3	yes	maximal, complemented
2	#72312709	C₂	1	8	yes	maximal, complemented
3	#72312446	C₂	1	12	yes	maximal, complemented
4	#72312294	C₂	1	8	yes	maximal, complemented
5	#72312157	C₂	1	8	yes	maximal, complemented
6	#72308090	C₂	1	3	yes	maximal, complemented
7	#72306640	C₂	1	8	yes	maximal, complemented
8	C₂×#10586097	C₂	1	1	yes	maximal, characteristic, complemented
9	#72286197	C₂	1	8	yes	maximal, complemented
10	#72285985	C₂	1	8	yes	maximal, complemented
11	#72280115	C₂	1	1	yes	maximal, characteristic, complemented
12	#72263930	C₂	1	3	yes	maximal, complemented
13	#72260861	C₂	1	3	yes	maximal, complemented
14	#72257824	C₂	1	1	yes	maximal, characteristic, complemented
15	#72252419	C₂	1	16	yes	maximal, complemented
16	#72251173	C₂	1	16	yes	maximal, complemented
17	#72236702	C₂	1	8	yes	maximal, complemented
18	#72234135	C₂	1	8	yes	maximal, complemented
19	#72233689	C₂	1	4	yes	maximal, complemented
20	C₂²×H(7,𝔽₂)	C₂²	1	2	yes	complemented
21	#10586097	C₂²	1	8	yes	complemented
22	#10586097	C₂²	1	8	yes	complemented
23	#10586097	C₂²	1	8	yes	complemented
24	#10586097	C₂²	1	8	yes	complemented
25	C₂×D₄×H(5,𝔽₂)	C₂²	1	8	yes	complemented
26	C₂×D₄×H(5,𝔽₂)	C₂²	1	8	yes	complemented
27	C₂×#62852	C₂²	1	6	yes	complemented
28	C₂×#62812	C₂²	1	3	yes	complemented
29	C₂²×#3498	C₂²	1	3	yes	—
30	C₂²×#3498	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₄×#585	C₂²	1	1	yes	characteristic, complemented
32	C₂×#60399	C₂²	1	16	yes	complemented
33	#7737429	C₂²	1	12	yes	complemented
34	#7737411	C₂²	1	12	yes	complemented
35	#7726041	C₂²	1	24	yes	complemented
36	#7677134	C₂²	1	12	yes	complemented
37	#7677118	C₂²	1	12	yes	complemented
38	#7671946	C₂²	1	12	yes	complemented
39	#7671592	C₂²	1	12	yes	complemented
40	#7652795	C₂²	1	24	yes	complemented
41	#7646027	C₂²	1	12	yes	complemented
42	#7646027	C₂²	1	12	yes	complemented
43	#7641983	C₂²	1	3	yes	complemented
44	#7631286	C₂²	1	12	yes	complemented
45	#7631286	C₂²	1	12	yes	complemented
46	#7628578	C₂²	1	3	yes	complemented
47	#7628578	C₂²	1	3	yes	complemented
48	#7628157	C₂²	1	3	yes	complemented
49	#7626230	C₂²	1	3	yes	complemented
50	#6629395	C₂²	1	8	yes	complemented
51	#6629393	C₂²	1	8	yes	complemented
52	#6629391	C₂²	1	4	yes	complemented
53	#6629390	C₂²	1	4	yes	complemented
54	#6629390	C₂²	1	8	yes	complemented
55	#6629389	C₂²	1	8	yes	complemented
56	#6629388	C₂²	1	8	yes	complemented
57	#6629387	C₂²	1	4	yes	complemented
58	#6629386	C₂²	1	4	yes	complemented
59	#6629386	C₂²	1	8	yes	complemented
60	#6629260	C₂²	1	6	yes	complemented
61	#6629257	C₂²	1	6	yes	complemented
62	#6629121	C₂²	1	4	yes	complemented
63	#6629119	C₂²	1	4	yes	complemented
64	#6628984	C₂²	1	4	yes	complemented
65	#6628982	C₂²	1	4	yes	complemented
66	#6628901	C₂²	1	16	yes	complemented
67	#6628900	C₂²	1	32	yes	complemented
68	#6628898	C₂²	1	16	yes	complemented
69	#6628896	C₂²	1	32	yes	complemented
70	#6628894	C₂²	1	2	yes	complemented
71	#6628894	C₂²	1	12	yes	complemented
72	#6628892	C₂²	1	32	yes	complemented
73	#6628891	C₂²	1	2	yes	complemented
74	#6628891	C₂²	1	12	yes	complemented
75	C₂×#32898	C₂²	1	32	yes	complemented
76	#6591517	C₂²	1	64	yes	complemented
77	#6591514	C₂²	1	64	yes	complemented
78	#6591514	C₂²	1	64	yes	complemented
79	#6591510	C₂²	1	128	yes	complemented
80	#6591503	C₂²	1	64	yes	complemented
81	#6591500	C₂²	1	64	yes	complemented
82	#6591500	C₂²	1	64	yes	complemented
83	#6573726	C₂²	1	64	yes	complemented
84	#6573726	C₂²	1	64	yes	complemented
85	#6573723	C₂²	1	64	yes	complemented
86	#6573715	C₂²	1	128	yes	complemented
87	D₄×B(4,𝔽₂)	C₂²	1	64	yes	complemented
88	D₄×B(4,𝔽₂)	C₂²	1	64	yes	complemented
89	D₄×B(4,𝔽₂)	C₂²	1	64	yes	complemented
90	#6487653	C₂²	1	24	yes	complemented
91	#6487651	C₂²	1	24	yes	complemented
92	#6487649	C₂²	1	12	yes	complemented
93	#6487648	C₂²	1	24	yes	complemented
94	#6487648	C₂²	1	12	yes	complemented
95	#6487647	C₂²	1	24	yes	complemented
96	#6487646	C₂²	1	24	yes	complemented
97	#6487645	C₂²	1	12	yes	complemented
98	#6487644	C₂²	1	24	yes	complemented
99	#6487644	C₂²	1	12	yes	complemented
100	#6470246	C₂²	1	96	yes	complemented
101	#6470237	C₂²	1	96	yes	complemented
102	#6470234	C₂²	1	96	yes	complemented
103	#6470225	C₂²	1	96	yes	complemented
104	#6446743	C₂²	1	12	yes	complemented
105	#6446741	C₂²	1	12	yes	complemented
106	#6443350	C₂²	1	12	yes	complemented
107	#6443348	C₂²	1	12	yes	complemented
108	#6442726	C₂²	1	24	yes	complemented
109	#6442721	C₂²	1	24	yes	complemented
110	#6440465	C₂²	1	48	yes	complemented
111	#6438004	C₂²	1	48	yes	complemented
112	#6438001	C₂²	1	48	yes	complemented
113	#6437633	C₂²	1	48	yes	complemented
114	#6432951	C₂²	1	12	yes	complemented
115	#6432948	C₂²	1	12	yes	complemented
116	#6385980	C₂²	1	24	yes	complemented
117	#6385980	C₂²	1	24	yes	complemented
118	#6385971	C₂²	1	24	yes	complemented
119	#6385971	C₂²	1	24	yes	complemented
120	#6379015	C₂²	1	24	yes	complemented
121	#6379015	C₂²	1	24	yes	complemented
122	#6374247	C₂²	1	6	yes	complemented
123	#6374130	C₂²	1	12	yes	complemented
124	C₄×#3027	C₂²	1	8	yes	complemented
125	C₄×#3025	C₂²	1	8	yes	complemented
126	#6370937	C₂²	1	3	yes	complemented
127	#6370937	C₂²	1	3	yes	complemented
128	#6370735	C₂²	1	16	yes	complemented
129	#6370693	C₂²	1	12	yes	complemented
130	C₂×H(7,𝔽₂)	C₂³	1	16	yes	—
131	C₂×H(7,𝔽₂)	C₂³	1	16	yes	—
132	C₂²×#585	C₂³	1	1	yes	characteristic
133	C₂²×#585	C₂³	1	6	yes	—
134	C₂³×H(5,𝔽₂)	C₂³	1	6	yes	—
135	C₂³×H(5,𝔽₂)	C₂³	1	16	yes	—
136	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	complemented
137	D₄×H(5,𝔽₂)	C₂³	1	64	yes	—
138	D₄×H(5,𝔽₂)	C₂³	1	64	yes	—
139	D₄×H(5,𝔽₂)	C₂³	1	64	yes	—
140	D₄×H(5,𝔽₂)	C₂³	1	64	yes	—
141	#62852	C₂³	1	48	yes	—
142	#62852	C₂³	1	48	yes	—
143	#62812	C₂³	1	12	yes	—
144	#62812	C₂³	1	12	yes	—
145	#62812	C₂³	1	12	yes	—
146	#62812	C₂³	1	12	yes	—
147	C₂×#3498	D₄	1	12	yes	complemented
148	C₂×#3498	D₄	1	12	yes	complemented
149	C₂×#3498	D₄	1	12	yes	complemented
150	C₂×#3498	D₄	1	12	yes	complemented
151	C₂×#3498	C₂³	1	12	yes	—
152	C₂×#3498	C₂³	1	12	yes	—
153	C₂×#3498	C₂³	1	12	yes	—
154	C₂×#3498	C₂³	1	12	yes	—
155	C₂×#3496	C₂³	1	12	yes	—
156	C₂×#3496	C₂³	1	12	yes	—
157	C₂×#3484	C₂³	1	48	yes	—
158	C₂×#3484	C₂³	1	24	yes	complemented
159	C₂²×#550	D₄	1	6	yes	complemented
160	C₂²×#550	D₄	1	6	yes	complemented
161	C₂²×#550	C₂³	1	2	yes	complemented
162	C₂²×#550	C₂³	1	2	yes	complemented
163	C₂²×D₄²	D₄	1	6	yes	complemented
164	C₂²×D₄²	D₄	1	6	yes	complemented
165	C₂²×D₄²	C₂³	1	12	yes	—
166	C₂²×D₄²	C₂³	1	12	yes	—
167	C₂²×D₄²	C₂³	1	4	yes	complemented
168	C₂²×D₄²	C₂³	1	4	yes	complemented
169	C₂²×D₄²	C₂³	1	2	yes	complemented
170	C₂²×D₄²	C₂³	1	2	yes	complemented
171	C₂×#3449	C₂³	1	6	yes	—
172	C₂²×#535	D₄	1	12	yes	complemented
173	C₂²×#535	C₂³	1	6	yes	—
174	C₂²×#535	C₂³	1	2	yes	complemented
175	C₂²×#535	C₂³	1	4	yes	complemented
176	C₂²×#532	D₄	1	6	yes	complemented
177	C₂²×#532	C₂³	1	3	yes	—
178	C₂²×#532	C₂³	1	1	yes	characteristic, complemented
179	C₂²×#532	C₂³	1	2	yes	complemented
180	C₂³×#127	D₄	1	6	yes	complemented
181	C₂³×#127	C₂³	1	1	yes	characteristic
182	C₂³×#127	C₂³	1	2	yes	complemented
183	C₄×#585	C₂³	1	4	yes	—
184	C₄×#585	C₂³	1	4	yes	—
185	C₄×#585	C₂³	1	4	yes	—
186	C₄×#585	C₂³	1	4	yes	—
187	C₂×C₄×H(5,𝔽₂)	C₂³	1	4	yes	—
188	C₂×C₄×H(5,𝔽₂)	C₂³	1	4	yes	—
189	C₂×#3428	C₂³	1	3	yes	—
190	C₂²×C₄×#41	C₂³	1	3	yes	—
191	C₂²×C₄×#41	C₂³	1	1	yes	characteristic, complemented
192	C₂×#3027	C₂³	1	8	yes	—
193	C₂×#3027	C₂³	1	48	yes	complemented
194	C₂×#3026	C₂³	1	128	yes	complemented
195	C₂×#3025	C₂³	1	8	yes	—
196	C₂×#3025	C₂³	1	48	yes	complemented
197	C₂²×B(4,𝔽₂)	C₂³	1	128	yes	complemented
198	C₂×#2883	C₂³	1	48	yes	complemented
199	#39338	C₂³	1	48	yes	complemented
200	#39336	C₂³	1	48	yes	complemented
201	#39336	C₂³	1	48	yes	complemented
202	#38906	C₂³	1	48	yes	complemented
203	#38904	C₂³	1	48	yes	complemented
204	#38904	C₂³	1	48	yes	complemented
205	#38020	C₂³	1	96	yes	complemented
206	#37644	C₂³	1	96	yes	complemented
207	#37536	C₂³	1	12	yes	complemented
208	#37450	C₂³	1	12	yes	complemented
209	#37436	C₂³	1	48	yes	complemented
210	#36704	C₂³	1	48	yes	complemented
211	#36702	C₂³	1	48	yes	complemented
212	#36624	C₂³	1	12	yes	complemented
213	#36236	C₂³	1	48	yes	complemented
214	#36212	C₂³	1	48	yes	complemented
215	#36212	C₂³	1	48	yes	complemented
216	D₄×#120	C₂³	1	48	yes	complemented
217	D₄×#120	C₂³	1	48	yes	complemented
218	D₄×#120	C₂³	1	48	yes	complemented
219	#35528	C₂³	1	24	yes	complemented
220	#35527	C₂³	1	24	yes	complemented
221	#35514	C₂³	1	24	yes	complemented
222	#35512	C₂³	1	24	yes	complemented
223	#35347	C₂³	1	48	yes	complemented
224	#35346	C₂³	1	48	yes	complemented
225	#35301	C₂³	1	12	yes	complemented
226	#35289	C₂³	1	6	yes	complemented
227	#35279	C₂³	1	6	yes	complemented
228	#35274	C₂³	1	6	yes	complemented
229	#35272	C₂³	1	6	yes	complemented
230	#35262	C₂³	1	6	yes	complemented
231	#35262	C₂³	1	6	yes	complemented
232	#35250	C₂³	1	6	yes	—
233	#35250	C₂³	1	12	yes	complemented
234	#35250	C₂³	1	6	yes	complemented
235	#35250	C₂³	1	12	yes	complemented
236	#35249	C₂³	1	6	yes	complemented
237	#35237	C₂³	1	6	yes	complemented
238	#35237	C₂³	1	12	yes	complemented
239	#35222	C₂³	1	24	yes	complemented
240	#35165	C₂³	1	12	yes	complemented
241	#35152	C₂³	1	24	yes	complemented
242	#35129	C₂³	1	12	yes	complemented
243	#35076	C₂³	1	12	yes	complemented
244	#35076	C₂³	1	12	yes	complemented
245	#34980	C₂³	1	48	yes	complemented
246	#34980	C₂³	1	48	yes	complemented
247	#34971	C₂³	1	6	yes	complemented
248	#34963	C₂³	1	12	yes	complemented
249	#34963	C₂³	1	6	yes	complemented
250	#34956	C₂³	1	12	yes	complemented
251	#34955	C₂³	1	6	yes	complemented
252	#34952	C₂³	1	6	yes	complemented
253	#34936	C₂³	1	6	yes	complemented
254	#34935	C₂³	1	6	yes	complemented
255	#34875	C₂³	1	12	yes	complemented
256	#34809	C₂³	1	6	yes	complemented
257	#34809	C₂³	1	6	yes	complemented
258	#34736	C₂³	1	6	yes	—
259	#34736	C₂³	1	12	yes	complemented
260	#34736	C₂³	1	12	yes	complemented
261	#34736	C₂³	1	6	yes	complemented
262	C₂×#2403	C₂³	1	48	yes	complemented
263	#34364	C₂³	1	12	yes	complemented
264	#34364	C₂³	1	12	yes	complemented
265	#34256	C₂³	1	24	yes	complemented
266	#34210	C₂³	1	12	yes	complemented
267	#34210	C₂³	1	12	yes	complemented
268	#34171	C₂³	1	12	yes	complemented
269	#34171	C₂³	1	12	yes	complemented
270	#34171	C₂³	1	12	yes	complemented
271	C₄×#535	C₂³	1	12	yes	complemented
272	C₄×#525	C₂³	1	12	yes	complemented
273	#34012	C₂³	1	3	yes	complemented
274	#34012	C₂³	1	3	yes	complemented
275	#33023	C₂³	1	24	yes	complemented
276	#33022	C₂³	1	24	yes	complemented
277	#33021	C₂³	1	24	yes	complemented
278	#33021	C₂³	1	48	yes	complemented
279	#33020	C₂³	1	24	yes	complemented
280	#33020	C₂³	1	48	yes	complemented
281	#32977	C₂³	1	32	yes	complemented
282	#32976	C₂³	1	32	yes	complemented
283	#32976	C₂³	1	16	yes	complemented
284	#32975	C₂³	1	32	yes	complemented
285	#32975	C₂³	1	16	yes	complemented
286	#32928	C₂³	1	32	yes	complemented
287	#32927	C₂³	1	16	yes	complemented
288	#32926	C₂³	1	16	yes	complemented
289	#32926	C₂³	1	32	yes	complemented
290	#32926	C₂³	1	32	yes	complemented
291	#32901	C₂³	1	8	yes	—
292	#32901	C₂³	1	48	yes	complemented
293	#32900	C₂³	1	8	yes	—
294	#32900	C₂³	1	48	yes	complemented
295	#32900	C₂³	1	128	yes	complemented
296	#32899	C₂³	1	8	yes	—
297	#32899	C₂³	1	16	yes	—
298	#32899	C₂³	1	48	yes	complemented
299	#32899	C₂³	1	96	yes	complemented
300	#32898	C₂³	1	8	yes	—
301	#32898	C₂³	1	16	yes	—
302	#32898	C₂³	1	48	yes	complemented
303	#32898	C₂³	1	96	yes	complemented
304	#32898	C₂³	1	128	yes	complemented
305	#32898	C₂³	1	128	yes	complemented
306	#32898	C₂³	1	128	yes	complemented
307	#29637	C₂³	1	48	yes	complemented
308	#29636	C₂³	1	48	yes	complemented
309	#29636	C₂³	1	96	yes	complemented
310	#29635	C₂³	1	48	yes	complemented
311	#29634	C₂³	1	48	yes	complemented
312	#29634	C₂³	1	96	yes	complemented
313	#25901	C₂³	1	96	yes	complemented
314	#25900	C₂³	1	96	yes	complemented
315	#25900	C₂³	1	48	yes	complemented
316	#25899	C₂³	1	48	yes	complemented
317	#25899	C₂³	1	96	yes	complemented
318	#25773	C₂³	1	96	yes	complemented
319	#25772	C₂³	1	48	yes	complemented
320	#25771	C₂³	1	48	yes	complemented
321	#25771	C₂³	1	96	yes	complemented
322	#25771	C₂³	1	96	yes	complemented
323	#24405	C₂³	1	384	yes	complemented
324	#24404	C₂³	1	384	yes	complemented
325	#24404	C₂³	1	384	yes	complemented
326	#24404	C₂³	1	384	yes	complemented
327	#24262	C₂³	1	192	yes	complemented
328	#24261	C₂³	1	96	yes	complemented
329	#24261	C₂³	1	96	yes	complemented
330	#24260	C₂³	1	96	yes	complemented
331	#24260	C₂³	1	192	yes	complemented
332	#24260	C₂³	1	96	yes	complemented
333	#24058	C₂³	1	384	yes	complemented
334	#24056	C₂³	1	384	yes	complemented
335	#23903	C₂³	1	384	yes	complemented
336	#23900	C₂³	1	384	yes	complemented
337	#23516	C₂³	1	48	yes	complemented
338	#23514	C₂³	1	48	yes	complemented
339	#23445	C₂³	1	48	yes	complemented
340	#23443	C₂³	1	48	yes	complemented
341	D₄×#99	C₂³	1	192	yes	complemented
342	D₄×#99	C₂³	1	192	yes	complemented
343	D₄×#99	C₂³	1	192	yes	complemented
344	D₄×#99	C₂³	1	192	yes	complemented
345	#21794	C₂³	1	24	yes	complemented
346	#21794	C₂³	1	24	yes	complemented
347	#21793	C₂³	1	24	yes	complemented
348	#21793	C₂³	1	24	yes	complemented
349	#21750	C₂³	1	96	yes	complemented
350	#21746	C₂³	1	96	yes	complemented
351	#21482	C₂³	1	64	yes	complemented
352	C₄×#458	C₂³	1	32	yes	complemented
353	C₄×#458	C₂³	1	32	yes	complemented
354	C₄×B(4,𝔽₂)	C₂³	1	32	yes	complemented
355	C₄×B(4,𝔽₂)	C₂³	1	64	yes	complemented
356	C₄×B(4,𝔽₂)	C₂³	1	32	yes	complemented
357	#21212	C₂³	1	24	yes	complemented
358	#21212	C₂³	1	24	yes	complemented
359	#20985	C₂³	1	96	yes	complemented
360	#20961	C₂³	1	24	yes	complemented
361	#20959	C₂³	1	24	yes	complemented
362	#20890	C₂³	1	24	yes	complemented
363	#20888	C₂³	1	24	yes	complemented
364	#20723	C₂³	1	12	yes	complemented
365	#20723	C₂³	1	12	yes	complemented
366	#20723	C₂³	1	12	yes	complemented
367	#20723	C₂³	1	12	yes	complemented
368	#20722	C₂³	1	12	yes	complemented
369	#20722	C₂³	1	12	yes	complemented
370	#20722	C₂³	1	12	yes	complemented
371	#20722	C₂³	1	12	yes	complemented
372	#20688	C₂³	1	6	yes	complemented
373	#20688	C₂³	1	6	yes	complemented
374	#20632	C₂³	1	12	yes	complemented
375	#20632	C₂³	1	12	yes	complemented
376	#20610	C₂³	1	8	yes	—
377	#20610	C₂³	1	48	yes	complemented
378	#20609	C₂³	1	128	yes	complemented
379	#20608	C₂³	1	8	yes	—
380	#20608	C₂³	1	48	yes	complemented
381	C₂×#1790	C₂³	1	128	yes	complemented
382	#20586	C₂³	1	48	yes	complemented
383	#20585	C₂³	1	96	yes	complemented
384	#20584	C₂³	1	6	yes	—
385	#20584	C₂³	1	6	yes	—
386	#20584	C₂³	1	24	yes	complemented
387	C₂×#1781	C₂³	1	96	yes	complemented
388	C₄×#410	C₂³	1	12	yes	complemented
389	C₄×#410	C₂³	1	12	yes	complemented
390	C₂×#585	C₂⁴	1	24	yes	—
391	C₂×#585	C₂⁴	1	24	yes	—
392	C₂×#585	C₂⁴	1	4	yes	—
393	C₂×#585	C₂⁴	1	4	yes	—
394	C₂²×H(5,𝔽₂)	C₂×D₄	1	24	yes	complemented
395	C₂²×H(5,𝔽₂)	C₂×D₄	1	24	yes	complemented
396	C₂²×H(5,𝔽₂)	C₂⁴	1	24	yes	—
397	C₂²×H(5,𝔽₂)	C₂⁴	1	24	yes	—
398	C₂²×H(5,𝔽₂)	C₂⁴	1	128	yes	—
399	C₂²×H(5,𝔽₂)	C₂⁴	1	24	yes	—
400	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
401	C₂³×#41	C₂×D₄	1	12	yes	complemented
402	C₂³×#41	C₂×D₄	1	12	yes	complemented
403	C₂³×#41	C₂⁴	1	3	yes	—
404	C₂³×#41	C₂⁴	1	6	yes	—
405	C₂³×#41	C₂⁴	1	1	yes	characteristic
406	C₂³×#41	C₂⁴	1	2	yes	—
407	C₂³×#41	C₂⁴	1	4	yes	complemented
408	C₂³×#41	C₂⁴	1	4	yes	complemented
409	C₂⁴×D₄	C₂×D₄	1	12	yes	complemented
410	C₂⁴×D₄	C₂×D₄	1	12	yes	complemented
411	C₂⁴×D₄	C₂×D₄	1	12	yes	complemented
412	C₂⁴×D₄	C₂×D₄	1	12	yes	complemented
413	C₂⁴×D₄	C₂⁴	1	24	yes	—
414	C₂⁴×D₄	C₂⁴	1	2	yes	—
415	C₂⁴×D₄	C₂⁴	1	2	yes	—
416	C₂⁴×D₄	C₂⁴	1	2	yes	—
417	C₂⁴×D₄	C₂⁴	1	8	yes	—
418	C₂⁴×D₄	C₂⁴	1	4	yes	complemented
419	C₂⁴×D₄	C₂⁴	1	4	yes	complemented
420	C₂⁴×D₄	C₂⁴	1	4	yes	complemented
421	C₂⁴×D₄	C₂⁴	1	4	yes	complemented
422	#3496	C₂⁴	1	48	yes	—
423	#3496	C₂⁴	1	48	yes	—
424	#3496	C₂⁴	1	48	yes	—
425	#3496	C₂⁴	1	48	yes	—
426	#3484	C₂⁴	1	384	yes	—
427	C₂×#550	C₂×D₄	1	24	yes	complemented
428	C₂×#550	C₂×D₄	1	24	yes	complemented
429	C₂×#550	C₂×D₄	1	24	yes	complemented
430	C₂×#550	C₂×D₄	1	24	yes	complemented
431	C₂×#550	C₂×D₄	1	24	yes	complemented
432	C₂×#550	C₂×D₄	1	24	yes	complemented
433	C₂×#550	C₂×D₄	1	24	yes	complemented
434	C₂×#550	C₂×D₄	1	24	yes	complemented
435	C₂×D₄²	C₂×D₄	1	48	yes	complemented
436	C₂×D₄²	C₂×D₄	1	48	yes	complemented
437	C₂×D₄²	C₂×D₄	1	48	yes	complemented
438	C₂×D₄²	C₂×D₄	1	48	yes	complemented
439	C₂×D₄²	C₂×D₄	1	24	yes	complemented
440	C₂×D₄²	C₂×D₄	1	24	yes	complemented
441	C₂×D₄²	C₂×D₄	1	24	yes	complemented
442	C₂×D₄²	C₂×D₄	1	24	yes	complemented
443	C₂×D₄²	C₂×D₄	1	24	yes	complemented
444	C₂×D₄²	C₂×D₄	1	24	yes	complemented
445	C₂×D₄²	C₂×D₄	1	24	yes	complemented
446	C₂×D₄²	C₂×D₄	1	24	yes	complemented
447	C₂×D₄²	C₂⁴	1	48	yes	—
448	C₂×D₄²	C₂⁴	1	48	yes	—
449	C₂×D₄²	C₂⁴	1	48	yes	—
450	C₂×D₄²	C₂⁴	1	48	yes	—
451	#3449	C₂⁴	1	24	yes	—
452	#3449	C₂⁴	1	24	yes	—
453	C₂×#535	C₂×D₄	1	24	yes	complemented
454	C₂×#535	C₂×D₄	1	24	yes	complemented
455	C₂×#535	C₂×D₄	1	48	yes	complemented
456	C₂×#535	C₂×D₄	1	48	yes	complemented
457	C₂×#535	C₂×D₄	1	48	yes	complemented
458	C₂×#535	C₂×D₄	1	48	yes	complemented
459	C₂×#535	C₂⁴	1	24	yes	—
460	C₂×#535	C₂⁴	1	24	yes	—
461	C₂×#535	C₂⁴	1	12	yes	—
462	C₂×#535	C₂⁴	1	24	yes	complemented
463	C₂×#534	C₂⁴	1	24	yes	—
464	C₂×#534	C₂⁴	1	96	yes	complemented
465	C₂×#532	C₂×D₄	1	6	yes	complemented
466	C₂×#532	C₂×D₄	1	6	yes	complemented
467	C₂×#532	C₂×D₄	1	6	yes	complemented
468	C₂×#532	C₂×D₄	1	6	yes	complemented
469	C₂×#532	C₂×D₄	1	24	yes	complemented
470	C₂×#532	C₂×D₄	1	24	yes	complemented
471	C₂×#532	C₂×D₄	1	24	yes	complemented
472	C₂×#532	C₂×D₄	1	24	yes	complemented
473	C₂×#532	C₂⁴	1	6	yes	—
474	C₂×#532	C₂⁴	1	6	yes	—
475	C₂×#532	C₂⁴	1	6	yes	—
476	C₂×#532	C₂⁴	1	6	yes	—
477	C₂²×C₄⋊Q₈	C₂×D₄	1	3	yes	complemented
478	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic, complemented
479	C₂²×#127	C₂×D₄	1	6	yes	—
480	C₂²×#127	C₂×D₄	1	6	yes	—
481	C₂²×#127	C₂×D₄	1	6	yes	—
482	C₂²×#127	C₂×D₄	1	6	yes	—
483	C₂²×#127	C₂×D₄	1	6	yes	—
484	C₂²×#127	C₂×D₄	1	6	yes	—
485	C₂²×#127	C₂×D₄	1	6	yes	—
486	C₂²×#127	C₂×D₄	1	6	yes	—
487	C₂²×#127	C₂×D₄	1	24	yes	complemented
488	C₂²×#127	C₂×D₄	1	24	yes	complemented
489	C₂²×#127	C₂×D₄	1	24	yes	complemented
490	C₂²×#127	C₂×D₄	1	24	yes	complemented
491	C₂²×#127	C₂×D₄	1	3	yes	complemented
492	C₂²×#127	C₂×D₄	1	12	yes	complemented
493	C₂²×#127	C₂×D₄	1	12	yes	complemented
494	C₂²×#127	C₂×D₄	1	12	yes	complemented
495	C₂²×#127	C₂⁴	1	2	yes	—
496	C₂²×#127	C₂⁴	1	2	yes	—
497	C₂²×#127	C₂⁴	1	2	yes	—
498	C₂²×#127	C₂⁴	1	2	yes	—
499	C₂²×#127	C₂⁴	1	4	yes	complemented
500	C₂²×#127	C₂⁴	1	4	yes	complemented
501	C₂²×#127	C₂⁴	1	4	yes	complemented
502	C₂²×#127	C₂⁴	1	1	yes	characteristic, complemented
503	C₂²×#124	C₂×D₄	1	12	yes	complemented
504	C₂²×#124	C₂×D₄	1	6	yes	complemented
505	C₂²×#124	C₂⁴	1	2	yes	complemented
506	C₂²×#124	C₂⁴	1	4	yes	complemented
507	C₂×#525	C₂⁴	1	12	yes	—
508	C₂×#525	C₂⁴	1	24	yes	complemented
509	C₂²×#121	C₂×D₄	1	12	yes	complemented
510	C₂²×#121	C₂×D₄	1	12	yes	complemented
511	C₂²×#121	C₂×D₄	1	24	yes	complemented
512	C₂²×#121	C₂×D₄	1	24	yes	complemented
513	C₂²×#121	C₂×D₄	1	12	yes	complemented
514	C₂²×#121	C₂×D₄	1	12	yes	complemented
515	C₂²×#121	C₂⁴	1	6	yes	—
516	C₂²×#121	C₂⁴	1	6	yes	—
517	C₂²×#121	C₂⁴	1	2	yes	—
518	C₂²×#121	C₂⁴	1	2	yes	—
519	C₂²×#121	C₂⁴	1	8	yes	complemented
520	C₂²×#121	C₂⁴	1	8	yes	complemented
521	C₂²×#121	C₂⁴	1	4	yes	complemented
522	C₂²×#121	C₂⁴	1	4	yes	complemented
523	C₂²×#121	C₂⁴	1	4	yes	complemented
524	C₂²×#121	C₂⁴	1	4	yes	complemented
525	C₂²×#120	C₂×D₄	1	24	yes	complemented
526	C₂²×#120	C₂×D₄	1	24	yes	complemented
527	C₂²×#120	C₂⁴	1	24	yes	—
528	C₂²×#120	C₂⁴	1	8	yes	—
529	C₂²×#120	C₂⁴	1	8	yes	complemented
530	C₂²×#120	C₂⁴	1	8	yes	complemented
531	C₂²×#120	C₂⁴	1	96	yes	complemented
532	C₄×H(5,𝔽₂)	C₂⁴	1	16	yes	—
533	C₄×H(5,𝔽₂)	C₂⁴	1	16	yes	—
534	C₄×H(5,𝔽₂)	C₂⁴	1	16	yes	—
535	C₄×H(5,𝔽₂)	C₂⁴	1	16	yes	—
536	#3428	C₂⁴	1	12	yes	—
537	#3428	C₂⁴	1	12	yes	—
538	C₂×#518	C₂⁴	1	12	yes	—
539	C₂×#518	C₂⁴	1	24	yes	complemented
540	C₂×C₄×#41	C₂×D₄	1	6	yes	complemented
541	C₂×C₄×#41	C₂×D₄	1	6	yes	complemented
542	C₂×C₄×#41	C₂×D₄	1	6	yes	complemented
543	C₂×C₄×#41	C₂×D₄	1	6	yes	complemented
544	C₂×C₄×#41	C₂⁴	1	6	yes	—
545	C₂×C₄×#41	C₂⁴	1	6	yes	—
546	C₂×C₄×#41	C₂⁴	1	6	yes	—
547	C₂×C₄×#41	C₂⁴	1	6	yes	—
548	C₂²×C₄×Q₈	C₂×D₄	1	3	yes	complemented
549	C₂²×C₄×Q₈	C₂×D₄	1	3	yes	complemented
550	C₂²×C₄×Q₈	C₂⁴	1	1	yes	characteristic, complemented
551	C₂²×C₄×Q₈	C₂⁴	1	1	yes	characteristic, complemented
552	C₂²×C₄×D₄	C₂×D₄	1	3	yes	complemented
553	C₂²×C₄×D₄	C₂×D₄	1	3	yes	complemented
554	C₂²×C₄×D₄	C₂×D₄	1	12	yes	complemented
555	C₂²×C₄×D₄	C₂×D₄	1	12	yes	complemented
556	C₂²×C₄×D₄	C₂×D₄	1	6	yes	complemented
557	C₂²×C₄×D₄	C₂×D₄	1	6	yes	complemented
558	C₂²×C₄×D₄	C₂⁴	1	6	yes	—
559	C₂²×C₄×D₄	C₂⁴	1	6	yes	—
560	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
561	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
562	C₂²×C₄×D₄	C₂⁴	1	2	yes	complemented
563	C₂²×C₄×D₄	C₂⁴	1	4	yes	complemented
564	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic, complemented
565	C₂²×C₄×D₄	C₂⁴	1	4	yes	complemented
566	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic, complemented
567	C₂²×C₄×D₄	C₂⁴	1	2	yes	complemented
568	C₂²×#117	C₂×D₄	1	6	yes	complemented
569	C₂²×#117	C₂⁴	1	3	yes	—
570	C₂²×#117	C₂⁴	1	1	yes	characteristic
571	C₂²×#117	C₂⁴	1	2	yes	complemented
572	C₂³×C₄²	C₂×D₄	1	6	yes	complemented
573	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
574	C₂³×C₄²	C₂⁴	1	2	yes	complemented
575	C₂×#458	C₂⁴	1	32	yes	—
576	C₂×#458	C₂⁴	1	192	yes	complemented
577	C₂×B(4,𝔽₂)	C₂⁴	1	64	yes	—
578	C₂×B(4,𝔽₂)	C₂⁴	1	32	yes	—
579	C₂×B(4,𝔽₂)	C₂⁴	1	192	yes	complemented
580	C₂×B(4,𝔽₂)	C₂⁴	1	384	yes	complemented
581	C₂×#410	C₂⁴	1	24	yes	—
582	C₂×#410	C₂⁴	1	24	yes	—
583	C₂×#410	C₂⁴	1	96	yes	complemented
584	C₂²×#99	C₂⁴	1	384	yes	complemented
585	#2854	C₂⁴	1	24	yes	complemented
586	#2854	C₂⁴	1	24	yes	complemented
587	#2849	C₂⁴	1	96	yes	complemented
588	#2847	C₂⁴	1	24	yes	complemented
589	#2847	C₂⁴	1	24	yes	complemented
590	#2847	C₂⁴	1	48	yes	complemented
591	#2846	C₂⁴	1	96	yes	complemented
592	#2622	C₂⁴	1	96	yes	complemented
593	#2617	C₂⁴	1	48	yes	complemented
594	#2613	C₂⁴	1	96	yes	complemented
595	#2591	C₂⁴	1	24	yes	complemented
596	#2579	C₂⁴	1	24	yes	complemented
597	#2539	C₂⁴	1	24	yes	complemented
598	#2534	C₂⁴	1	24	yes	complemented
599	#2504	C₂⁴	1	24	yes	complemented
600	#2504	C₂⁴	1	12	yes	complemented
601	#2501	C₂⁴	1	12	yes	complemented
602	#2487	C₂⁴	1	24	yes	complemented
603	#2487	C₂⁴	1	12	yes	complemented
604	#2486	C₂⁴	1	12	yes	complemented
605	#2484	C₂⁴	1	12	yes	complemented
606	#2483	C₂⁴	1	12	yes	—
607	#2482	C₂⁴	1	24	yes	complemented
608	#2482	C₂⁴	1	12	yes	complemented
609	#2436	C₂⁴	1	12	yes	complemented
610	#2436	C₂⁴	1	24	yes	complemented
611	#2433	C₂⁴	1	24	yes	complemented
612	#2433	C₂⁴	1	12	yes	complemented
613	#2433	C₂⁴	1	24	yes	complemented
614	#2412	C₂⁴	1	96	yes	complemented
615	#2410	C₂⁴	1	96	yes	complemented
616	#2410	C₂⁴	1	96	yes	complemented
617	#2410	C₂⁴	1	96	yes	complemented
618	#2409	C₂⁴	1	24	yes	complemented
619	#2409	C₂⁴	1	12	yes	complemented
620	#2408	C₂⁴	1	24	yes	complemented
621	#2408	C₂⁴	1	24	yes	complemented
622	#2408	C₂⁴	1	12	yes	complemented
623	#2406	C₂⁴	1	12	yes	—
624	#2406	C₂⁴	1	24	yes	complemented
625	#2405	C₂⁴	1	24	yes	—
626	#2405	C₂⁴	1	12	yes	—
627	#2405	C₂⁴	1	24	yes	—
628	#2405	C₂⁴	1	12	yes	—
629	#2405	C₂⁴	1	96	yes	complemented
630	#2404	C₂⁴	1	12	yes	—
631	#2404	C₂⁴	1	24	yes	—
632	#2404	C₂⁴	1	24	yes	complemented
633	#2404	C₂⁴	1	48	yes	complemented
634	#2403	C₂⁴	1	24	yes	—
635	#2403	C₂⁴	1	24	yes	—
636	#2403	C₂⁴	1	48	yes	—
637	#2403	C₂⁴	1	12	yes	—
638	#2403	C₂⁴	1	96	yes	complemented
639	#2403	C₂⁴	1	96	yes	complemented
640	#2403	C₂⁴	1	96	yes	complemented
641	D₄×C₂²⋊C₄	C₂⁴	1	48	yes	complemented
642	D₄×C₂²⋊C₄	C₂⁴	1	48	yes	complemented
643	D₄×C₂²⋊C₄	C₂⁴	1	48	yes	complemented
644	D₄×C₂²⋊C₄	C₂⁴	1	48	yes	complemented
645	#2321	C₂⁴	1	48	yes	complemented
646	#2317	C₂⁴	1	12	yes	complemented
647	#2311	C₂⁴	1	12	yes	—
648	#2311	C₂⁴	1	24	yes	complemented
649	#2309	C₂⁴	1	12	yes	complemented
650	#2309	C₂⁴	1	24	yes	complemented
651	#2308	C₂⁴	1	48	yes	complemented
652	#2308	C₂⁴	1	96	yes	complemented
653	C₄×#123	C₂⁴	1	24	yes	complemented
654	C₄×#123	C₂⁴	1	24	yes	complemented
655	C₄×#120	C₂⁴	1	48	yes	complemented
656	C₄×#120	C₂⁴	1	24	yes	complemented
657	C₄×#120	C₂⁴	1	24	yes	complemented
658	#2297	C₂⁴	1	12	yes	—
659	#2297	C₂⁴	1	24	yes	complemented
660	#2296	C₂⁴	1	12	yes	complemented
661	C₂×#386	C₂⁴	1	96	yes	complemented
662	#2285	C₂⁴	1	6	yes	complemented
663	#2285	C₂⁴	1	6	yes	complemented
664	#2283	C₂⁴	1	6	yes	complemented
665	#2283	C₂⁴	1	6	yes	complemented
666	#2283	C₂⁴	1	6	yes	complemented
667	#2283	C₂⁴	1	6	yes	complemented
668	#2280	C₂⁴	1	6	yes	—
669	#2280	C₂⁴	1	6	yes	—
670	#2280	C₂⁴	1	6	yes	—
671	#2280	C₂⁴	1	6	yes	—
672	#2280	C₂⁴	1	6	yes	—
673	#2280	C₂⁴	1	6	yes	—
674	#2280	C₂⁴	1	12	yes	complemented
675	C₂×#379	C₂⁴	1	48	yes	—
676	C₄×#117	C₂⁴	1	6	yes	complemented
677	C₄×#117	C₂⁴	1	6	yes	complemented
678	#2044	C₂⁴	1	384	yes	complemented
679	#2044	C₂⁴	1	192	yes	complemented
680	#2044	C₂⁴	1	192	yes	complemented
681	#2022	C₂⁴	1	192	yes	complemented
682	#2021	C₂⁴	1	192	yes	complemented
683	#2021	C₂⁴	1	384	yes	complemented
684	#1964	C₂⁴	1	96	yes	complemented
685	#1964	C₂⁴	1	96	yes	complemented
686	#1964	C₂⁴	1	96	yes	complemented
687	#1964	C₂⁴	1	96	yes	complemented
688	#1898	C₂⁴	1	768	yes	complemented
689	#1890	C₂⁴	1	96	yes	complemented
690	#1889	C₂⁴	1	96	yes	complemented
691	#1889	C₂⁴	1	192	yes	complemented
692	#1867	C₂⁴	1	96	yes	complemented
693	#1867	C₂⁴	1	96	yes	complemented
694	#1867	C₂⁴	1	192	yes	complemented
695	#1820	C₂⁴	1	24	yes	complemented
696	#1820	C₂⁴	1	24	yes	complemented
697	#1819	C₂⁴	1	24	yes	—
698	#1819	C₂⁴	1	24	yes	—
699	#1799	C₂⁴	1	48	yes	complemented
700	#1799	C₂⁴	1	48	yes	complemented
701	#1799	C₂⁴	1	48	yes	complemented
702	#1799	C₂⁴	1	48	yes	complemented
703	#1790	C₂⁴	1	32	yes	—
704	#1790	C₂⁴	1	64	yes	—
705	#1790	C₂⁴	1	32	yes	—
706	#1790	C₂⁴	1	384	yes	complemented
707	#1790	C₂⁴	1	192	yes	complemented
708	#1790	C₂⁴	1	192	yes	complemented
709	#1782	C₂⁴	1	24	yes	—
710	#1782	C₂⁴	1	24	yes	—
711	#1782	C₂⁴	1	96	yes	complemented
712	#1781	C₂⁴	1	96	yes	—
713	#1781	C₂⁴	1	24	yes	—
714	#1781	C₂⁴	1	24	yes	—
715	#1781	C₂⁴	1	384	yes	complemented
716	C₄×#99	C₂⁴	1	48	yes	complemented
717	C₄×#99	C₂⁴	1	48	yes	complemented
718	C₄×#99	C₂⁴	1	48	yes	complemented
719	C₄×#99	C₂⁴	1	48	yes	complemented
720	#1740	C₂⁴	1	24	yes	complemented
721	#1740	C₂⁴	1	24	yes	complemented
722	C₂⁶	C₂²×D₄	1	24	yes	—
723	C₂⁶	C₂⁵	1	4	yes	—
724	C₂⁶	C₂⁵	1	8	yes	—
725	#585	H(5,𝔽₂)	1	32	yes	complemented
726	C₂×H(5,𝔽₂)	C₂⁵	1	96	yes	—
727	C₂×H(5,𝔽₂)	C₂⁵	1	16	yes	—
728	C₂²×#41	C₂²×D₄	1	48	yes	—
729	C₂²×#41	C₂²×D₄	1	48	yes	—
730	C₂²×#41	C₂²×D₄	1	48	yes	—
731	C₂²×#41	C₂²×D₄	1	48	yes	—
732	C₂²×#41	C₂²×D₄	1	6	yes	—
733	C₂²×#41	C₂²×D₄	1	6	yes	—
734	C₂²×#41	C₂²×D₄	1	12	yes	—
735	C₂²×#41	C₂²×D₄	1	12	yes	—
736	C₂²×#41	C₂⁵	1	12	yes	—
737	C₂²×#41	C₂⁵	1	6	yes	—
738	C₂²×#41	C₂⁵	1	12	yes	—
739	C₂²×#41	C₂⁵	1	6	yes	—
740	C₂³×Q₈	C₂²×D₄	1	3	yes	—
741	C₂³×Q₈	C₂²×D₄	1	6	yes	—
742	C₂³×Q₈	C₂⁵	1	1	yes	characteristic
743	C₂³×Q₈	C₂⁵	1	2	yes	—
744	C₂³×D₄	C₂²×D₄	1	12	yes	—
745	C₂³×D₄	C₂²×D₄	1	12	yes	—
746	C₂³×D₄	C₂²×D₄	1	12	yes	—
747	C₂³×D₄	C₂²×D₄	1	12	yes	—
748	C₂³×D₄	C₂²×D₄	1	12	yes	—
749	C₂³×D₄	C₂²×D₄	1	12	yes	—
750	C₂³×D₄	C₂²×D₄	1	12	yes	—
751	C₂³×D₄	C₂²×D₄	1	12	yes	—
752	C₂³×D₄	C₂²×D₄	1	12	yes	—
753	C₂³×D₄	C₂²×D₄	1	12	yes	—
754	C₂³×D₄	C₂²×D₄	1	12	yes	—
755	C₂³×D₄	C₂²×D₄	1	12	yes	—
756	C₂³×D₄	C₂²×D₄	1	3	yes	—
757	C₂³×D₄	C₂²×D₄	1	6	yes	—
758	C₂³×D₄	C₂²×D₄	1	6	yes	—
759	C₂³×D₄	C₂²×D₄	1	6	yes	—
760	C₂³×D₄	C₂²×D₄	1	24	yes	—
761	C₂³×D₄	C₂²×D₄	1	24	yes	—
762	C₂³×D₄	C₂²×D₄	1	48	yes	—
763	C₂³×D₄	C₂²×D₄	1	48	yes	—
764	C₂³×D₄	C₂²×D₄	1	48	yes	—
765	C₂³×D₄	C₂²×D₄	1	48	yes	—
766	C₂³×D₄	C₂²×D₄	1	24	yes	—
767	C₂³×D₄	C₂²×D₄	1	24	yes	—
768	C₂³×D₄	C₂²×D₄	1	48	yes	—
769	C₂³×D₄	C₂²×D₄	1	48	yes	—
770	C₂³×D₄	C₂²×D₄	1	48	yes	—
771	C₂³×D₄	C₂²×D₄	1	48	yes	—
772	C₂³×D₄	C₂²×D₄	1	96	yes	—
773	C₂³×D₄	C₂⁵	1	96	yes	—
774	C₂³×D₄	C₂⁵	1	6	yes	—
775	C₂³×D₄	C₂⁵	1	12	yes	—
776	C₂³×D₄	C₂⁵	1	4	yes	—
777	C₂³×D₄	C₂⁵	1	4	yes	—
778	C₂³×D₄	C₂⁵	1	4	yes	—
779	C₂³×D₄	C₂⁵	1	4	yes	—
780	C₂³×D₄	C₂⁵	1	4	yes	—
781	C₂³×D₄	C₂⁵	1	4	yes	—
782	C₂³×D₄	C₂⁵	1	2	yes	—
783	C₂³×D₄	C₂⁵	1	4	yes	—
784	C₂³×D₄	C₂⁵	1	8	yes	—
785	C₂³×D₄	C₂⁵	1	8	yes	—
786	C₂³×D₄	C₂⁵	1	1	yes	characteristic
787	C₂³×D₄	C₂⁵	1	2	yes	—
788	C₂³×D₄	C₂⁵	1	2	yes	—
789	C₂³×D₄	C₂⁵	1	2	yes	—
790	C₂³×D₄	C₂⁵	1	8	yes	—
791	C₂³×D₄	C₂⁵	1	8	yes	—
792	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
793	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
794	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
795	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
796	C₂⁴×C₄	C₂²×D₄	1	24	yes	—
797	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
798	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
799	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
800	C₂⁴×C₄	C₂⁵	1	8	yes	—
801	C₂⁴×C₄	C₂⁵	1	2	yes	—
802	C₂⁴×C₄	C₂⁵	1	2	yes	—
803	C₂⁴×C₄	C₂⁵	1	2	yes	—
804	C₂⁴×C₄	C₂⁵	1	4	yes	—
805	#534	C₂⁵	1	96	yes	—
806	C₂×C₄⋊Q₈	C₂²×D₄	1	6	yes	—
807	C₂×C₄⋊Q₈	C₂²×D₄	1	6	yes	—
808	C₂×C₄⋊Q₈	C₂²×D₄	1	6	yes	—
809	C₂×C₄⋊Q₈	C₂²×D₄	1	6	yes	—
810	C₂×#127	#120	1	12	yes	—
811	C₂×#127	#120	1	12	yes	—
812	C₂×#127	#120	1	12	yes	—
813	C₂×#127	#120	1	12	yes	—
814	C₂×#127	#120	1	24	yes	—
815	C₂×#127	#120	1	24	yes	—
816	C₂×#127	#120	1	24	yes	—
817	C₂×#127	#120	1	24	yes	—
818	C₂×#127	#120	1	24	yes	—
819	C₂×#127	#120	1	24	yes	—
820	C₂×#127	#120	1	4	yes	—
821	C₂×#127	#120	1	12	yes	—
822	C₂×#127	#120	1	12	yes	—
823	C₂×#127	#120	1	12	yes	—
824	C₂×#127	#120	1	24	yes	—
825	C₂×#127	C₂²×D₄	1	12	yes	—
826	C₂×#127	C₂²×D₄	1	12	yes	—
827	C₂×#127	C₂²×D₄	1	12	yes	—
828	C₂×#127	C₂²×D₄	1	12	yes	—
829	C₂×#127	C₂²×D₄	1	12	yes	—
830	C₂×#127	C₂²×D₄	1	12	yes	—
831	C₂×#127	C₂²×D₄	1	12	yes	—
832	C₂×#127	C₂²×D₄	1	12	yes	—
833	C₂×#127	C₂²×D₄	1	12	yes	—
834	C₂×#127	C₂²×D₄	1	12	yes	—
835	C₂×#127	C₂²×D₄	1	12	yes	—
836	C₂×#127	C₂²×D₄	1	12	yes	—
837	C₂×#127	C₂²×D₄	1	12	yes	—
838	C₂×#127	C₂²×D₄	1	12	yes	—
839	C₂×#127	C₂²×D₄	1	12	yes	—
840	C₂×#127	C₂²×D₄	1	12	yes	—
841	C₂×#127	C₂²×D₄	1	6	yes	—
842	C₂×#127	C₂²×D₄	1	6	yes	—
843	C₂×#127	C₂²×D₄	1	6	yes	—
844	C₂×#127	C₂²×D₄	1	6	yes	—
845	C₂×#127	C₂²×D₄	1	48	yes	—
846	C₂×#127	C₂²×D₄	1	48	yes	—
847	C₂×#127	C₂²×D₄	1	48	yes	—
848	C₂×#127	C₂²×D₄	1	48	yes	—
849	C₂×#127	C₂²×D₄	1	48	yes	—
850	C₂×#127	C₂²×D₄	1	48	yes	—
851	C₂×#124	C₂²×D₄	1	48	yes	—
852	C₂×#124	C₂²×D₄	1	48	yes	—
853	C₂×#124	C₂²×D₄	1	12	yes	—
854	C₂×#124	C₂²×D₄	1	12	yes	—
855	C₂×#124	C₂²×D₄	1	12	yes	—
856	C₂×#124	C₂²×D₄	1	12	yes	—
857	C₂×#123	C₂⁵	1	48	yes	—
858	C₂×#123	C₂⁵	1	24	yes	—
859	C₂×#121	C₂²×D₄	1	48	yes	—
860	C₂×#121	C₂²×D₄	1	48	yes	—
861	C₂×#121	C₂²×D₄	1	48	yes	—
862	C₂×#121	C₂²×D₄	1	48	yes	—
863	C₂×#121	C₂²×D₄	1	96	yes	—
864	C₂×#121	C₂²×D₄	1	96	yes	—
865	C₂×#121	C₂²×D₄	1	96	yes	—
866	C₂×#121	C₂²×D₄	1	96	yes	—
867	C₂×#121	C₂²×D₄	1	48	yes	—
868	C₂×#121	C₂²×D₄	1	48	yes	—
869	C₂×#121	C₂²×D₄	1	48	yes	—
870	C₂×#121	C₂²×D₄	1	48	yes	—
871	C₂×#121	C₂²×D₄	1	12	yes	—
872	C₂×#121	C₂²×D₄	1	12	yes	—
873	C₂×#121	C₂²×D₄	1	12	yes	—
874	C₂×#121	C₂²×D₄	1	12	yes	—
875	C₂×#121	C₂⁵	1	12	yes	—
876	C₂×#121	C₂⁵	1	12	yes	—
877	C₂×#121	C₂⁵	1	12	yes	—
878	C₂×#121	C₂⁵	1	12	yes	—
879	C₂×#120	C₂²×D₄	1	96	yes	—
880	C₂×#120	C₂²×D₄	1	96	yes	—
881	C₂×#120	C₂²×D₄	1	96	yes	—
882	C₂×#120	C₂²×D₄	1	96	yes	—
883	C₂×#120	C₂²×D₄	1	96	yes	—
884	C₂×#120	C₂⁵	1	96	yes	—
885	C₂×#120	C₂⁵	1	48	yes	—
886	C₂×#120	C₂⁵	1	48	yes	—
887	C₂×#120	C₂⁵	1	96	yes	—
888	C₂×#120	C₂⁵	1	24	yes	—
889	#518	C₂⁵	1	48	yes	—
890	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
891	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
892	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
893	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
894	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
895	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
896	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
897	C₂×C₄×Q₈	C₂²×D₄	1	6	yes	—
898	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
899	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
900	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
901	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
902	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
903	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
904	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
905	C₂×C₄×D₄	C₂²×D₄	1	6	yes	—
906	C₂×C₄×D₄	C₂²×D₄	1	48	yes	—
907	C₂×C₄×D₄	C₂²×D₄	1	48	yes	—
908	C₂×C₄×D₄	C₂²×D₄	1	48	yes	—
909	C₂×C₄×D₄	C₂²×D₄	1	48	yes	—
910	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
911	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
912	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
913	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
914	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
915	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
916	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
917	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
918	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
919	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
920	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
921	C₂×C₄×D₄	C₂²×D₄	1	12	yes	—
922	C₂×C₄×D₄	C₂⁵	1	12	yes	—
923	C₂×C₄×D₄	C₂⁵	1	12	yes	—
924	C₂×C₄×D₄	C₂⁵	1	12	yes	—
925	C₂×C₄×D₄	C₂⁵	1	12	yes	—
926	C₂×#117	C₂²×D₄	1	12	yes	—
927	C₂×#117	C₂²×D₄	1	12	yes	—
928	C₂×#117	C₂²×D₄	1	12	yes	—
929	C₂×#117	C₂²×D₄	1	12	yes	—
930	C₂×#117	C₂²×D₄	1	6	yes	—
931	C₂×#117	C₂²×D₄	1	6	yes	—
932	C₂×#117	C₂⁵	1	6	yes	—
933	C₂×#117	C₂⁵	1	6	yes	—
934	C₂×#117	C₂⁵	1	12	yes	—
935	C₂×#117	C₂⁵	1	12	yes	—
936	C₂²×C₄⋊C₄	C₂²×D₄	1	6	yes	—
937	C₂²×C₄⋊C₄	C₂²×D₄	1	6	yes	—
938	C₂²×C₄⋊C₄	C₂²×D₄	1	3	yes	—
939	C₂²×C₄⋊C₄	C₂²×D₄	1	3	yes	—
940	C₂²×C₄⋊C₄	C₂²×D₄	1	6	yes	—
941	C₂²×C₄⋊C₄	C₂²×D₄	1	6	yes	—
942	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
943	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
944	C₂²×C₄⋊C₄	C₂⁵	1	1	yes	characteristic
945	C₂²×C₄⋊C₄	C₂⁵	1	1	yes	characteristic
946	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
947	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
948	C₂²×C₂²⋊C₄	C₂²×D₄	1	6	yes	—
949	C₂²×C₂²⋊C₄	C₂²×D₄	1	6	yes	—
950	C₂²×C₂²⋊C₄	C₂²×D₄	1	12	yes	—
951	C₂²×C₂²⋊C₄	C₂²×D₄	1	12	yes	—
952	C₂²×C₂²⋊C₄	C₂²×D₄	1	24	yes	—
953	C₂²×C₂²⋊C₄	C₂²×D₄	1	24	yes	—
954	C₂²×C₂²⋊C₄	C₂⁵	1	6	yes	—
955	C₂²×C₂²⋊C₄	C₂⁵	1	96	yes	—
956	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
957	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
958	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
959	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
960	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
961	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
962	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
963	C₂²×C₄²	C₂²×D₄	1	3	yes	—
964	C₂²×C₄²	C₂²×D₄	1	3	yes	—
965	C₂²×C₄²	C₂²×D₄	1	3	yes	—
966	C₂²×C₄²	C₂²×D₄	1	3	yes	—
967	C₂²×C₄²	C₂²×D₄	1	3	yes	—
968	C₂²×C₄²	C₂²×D₄	1	3	yes	—
969	C₂²×C₄²	C₂²×D₄	1	3	yes	—
970	C₂²×C₄²	C₂²×D₄	1	3	yes	—
971	C₂²×C₄²	C₂²×D₄	1	6	yes	—
972	C₂²×C₄²	C₂²×D₄	1	6	yes	—
973	C₂²×C₄²	C₂²×D₄	1	6	yes	—
974	C₂²×C₄²	C₂²×D₄	1	12	yes	—
975	C₂²×C₄²	C₂²×D₄	1	12	yes	—
976	C₂²×C₄²	C₂²×D₄	1	12	yes	—
977	C₂²×C₄²	C₂²×D₄	1	12	yes	—
978	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
979	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
980	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
981	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
982	C₂²×C₄²	C₂⁵	1	2	yes	—
983	C₂²×C₄²	C₂⁵	1	2	yes	—
984	C₂²×C₄²	C₂⁵	1	2	yes	—
985	C₂×#99	C₂⁵	1	96	yes	—
986	C₂×#99	C₂⁵	1	96	yes	—
987	C₂×#99	C₂⁵	1	384	yes	—
988	#386	C₂⁵	1	24	yes	—
989	#386	C₂⁵	1	48	yes	—
990	#386	C₂⁵	1	48	yes	—
991	#386	C₂⁵	1	96	yes	—
992	#386	C₂⁵	1	24	yes	—
993	#386	C₂⁵	1	48	yes	—
994	#385	C₂⁵	1	48	yes	—
995	#385	C₂⁵	1	24	yes	—
996	#385	C₂⁵	1	24	yes	—
997	#381	C₂⁵	1	12	yes	—
998	#381	C₂⁵	1	12	yes	—
999	#381	C₂⁵	1	24	yes	—
1000	#380	C₂⁵	1	12	yes	—
1001	#380	C₂⁵	1	12	yes	—
1002	#380	C₂⁵	1	12	yes	—
1003	#380	C₂⁵	1	12	yes	—
1004	#379	C₂⁵	1	96	yes	—
1005	#379	C₂⁵	1	48	yes	—
1006	#379	C₂⁵	1	12	yes	—
1007	#379	C₂⁵	1	12	yes	—
1008	#379	C₂⁵	1	24	yes	—
1009	C₄×C₂²⋊C₄	C₂⁵	1	12	yes	—
1010	C₄×C₂²⋊C₄	C₂⁵	1	12	yes	—
1011	C₄×C₂²⋊C₄	C₂⁵	1	12	yes	—
1012	C₄×C₂²⋊C₄	C₂⁵	1	12	yes	—
1013	#342	C₂⁵	1	96	yes	—
1014	#342	C₂⁵	1	96	yes	—
1015	C₂⁵	C₂³×D₄	1	6	yes	—
1016	C₂⁵	C₂³×D₄	1	12	yes	—
1017	C₂⁵	C₂³×D₄	1	96	yes	—
1018	C₂⁵	C₂³×D₄	1	24	yes	—
1019	C₂⁵	C₂³×D₄	1	24	yes	—
1020	C₂⁵	C₂⁶	1	8	yes	—
1021	C₂⁵	C₂⁶	1	1	yes	characteristic
1022	C₂⁵	C₂⁶	1	2	yes	—
1023	C₂⁵	C₂⁶	1	4	yes	—
1024	H(5,𝔽₂)	C₂×H(5,𝔽₂)	1	64	yes	—
1025	C₂×#41	C₂×H(5,𝔽₂)	1	48	yes	—
1026	C₂²×Q₈	C₂³×D₄	1	6	yes	—
1027	C₂²×Q₈	C₂³×D₄	1	12	yes	—
1028	C₂²×Q₈	C₂³×D₄	1	12	yes	—
1029	C₂²×Q₈	C₂³×D₄	1	6	yes	—
1030	C₂²×D₄	C₂×#120	1	8	yes	—
1031	C₂²×D₄	C₂×#120	1	24	yes	—
1032	C₂²×D₄	C₂×#120	1	48	yes	—
1033	C₂²×D₄	C₂×#120	1	8	yes	—
1034	C₂²×D₄	C₂×#120	1	24	yes	—
1035	C₂²×D₄	C₂×#120	1	24	yes	—
1036	C₂²×D₄	C₂×#120	1	8	yes	—
1037	C₂²×D₄	C₂×#120	1	24	yes	—
1038	C₂²×D₄	C₂×#120	1	24	yes	—
1039	C₂²×D₄	C₂×#120	1	24	yes	—
1040	C₂²×D₄	C₂×#120	1	24	yes	—
1041	C₂²×D₄	C₂×#120	1	24	yes	—
1042	C₂²×D₄	C₂×#120	1	24	yes	—
1043	C₂²×D₄	C₂×#120	1	48	yes	—
1044	C₂²×D₄	C₂×#120	1	48	yes	—
1045	C₂²×D₄	C₂³×D₄	1	24	yes	—
1046	C₂²×D₄	C₂³×D₄	1	24	yes	—
1047	C₂²×D₄	C₂³×D₄	1	24	yes	—
1048	C₂²×D₄	C₂³×D₄	1	24	yes	—
1049	C₂²×D₄	C₂³×D₄	1	24	yes	—
1050	C₂²×D₄	C₂³×D₄	1	24	yes	—
1051	C₂²×D₄	C₂³×D₄	1	24	yes	—
1052	C₂²×D₄	C₂³×D₄	1	24	yes	—
1053	C₂²×D₄	C₂³×D₄	1	24	yes	—
1054	C₂²×D₄	C₂³×D₄	1	24	yes	—
1055	C₂²×D₄	C₂³×D₄	1	24	yes	—
1056	C₂²×D₄	C₂³×D₄	1	24	yes	—
1057	C₂²×D₄	C₂³×D₄	1	6	yes	—
1058	C₂²×D₄	C₂³×D₄	1	6	yes	—
1059	C₂²×D₄	C₂³×D₄	1	12	yes	—
1060	C₂²×D₄	C₂³×D₄	1	12	yes	—
1061	C₂²×D₄	C₂³×D₄	1	12	yes	—
1062	C₂²×D₄	C₂³×D₄	1	12	yes	—
1063	C₂²×D₄	C₂³×D₄	1	12	yes	—
1064	C₂²×D₄	C₂³×D₄	1	96	yes	—
1065	C₂²×D₄	C₂³×D₄	1	24	yes	—
1066	C₂²×D₄	C₂³×D₄	1	96	yes	—
1067	C₂²×D₄	C₂³×D₄	1	96	yes	—
1068	C₂²×D₄	C₂³×D₄	1	96	yes	—
1069	C₂²×D₄	C₂³×D₄	1	12	yes	—
1070	C₂²×D₄	C₂³×D₄	1	12	yes	—
1071	C₂²×D₄	C₂⁶	1	12	yes	—
1072	C₂²×D₄	C₂⁶	1	24	yes	—
1073	C₂³×C₄	C₂³×D₄	1	3	yes	—
1074	C₂³×C₄	C₂³×D₄	1	3	yes	—
1075	C₂³×C₄	C₂³×D₄	1	3	yes	—
1076	C₂³×C₄	C₂³×D₄	1	3	yes	—
1077	C₂³×C₄	C₂³×D₄	1	3	yes	—
1078	C₂³×C₄	C₂³×D₄	1	3	yes	—
1079	C₂³×C₄	C₂³×D₄	1	3	yes	—
1080	C₂³×C₄	C₂³×D₄	1	3	yes	—
1081	C₂³×C₄	C₂³×D₄	1	3	yes	—
1082	C₂³×C₄	C₂³×D₄	1	3	yes	—
1083	C₂³×C₄	C₂³×D₄	1	3	yes	—
1084	C₂³×C₄	C₂³×D₄	1	3	yes	—
1085	C₂³×C₄	C₂³×D₄	1	12	yes	—
1086	C₂³×C₄	C₂³×D₄	1	12	yes	—
1087	C₂³×C₄	C₂³×D₄	1	6	yes	—
1088	C₂³×C₄	C₂³×D₄	1	6	yes	—
1089	C₂³×C₄	C₂³×D₄	1	6	yes	—
1090	C₂³×C₄	C₂³×D₄	1	12	yes	—
1091	C₂³×C₄	C₂³×D₄	1	24	yes	—
1092	C₂³×C₄	C₂³×D₄	1	24	yes	—
1093	C₂³×C₄	C₂³×D₄	1	96	yes	—
1094	C₂³×C₄	C₂³×D₄	1	12	yes	—
1095	C₂³×C₄	C₂³×D₄	1	12	yes	—
1096	C₂³×C₄	C₂³×D₄	1	12	yes	—
1097	C₂³×C₄	C₂³×D₄	1	12	yes	—
1098	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1099	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1100	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1101	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1102	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1103	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1104	C₂³×C₄	C₂⁶	1	2	yes	—
1105	C₂³×C₄	C₂⁶	1	4	yes	—
1106	C₂³×C₄	C₂⁶	1	2	yes	—
1107	C₂³×C₄	C₂⁶	1	2	yes	—
1108	#127	C₂×#120	1	8	yes	—
1109	#127	C₂×#120	1	8	yes	—
1110	#127	C₂×#120	1	8	yes	—
1111	#127	C₂×#120	1	8	yes	—
1112	#127	C₂×#120	1	24	yes	—
1113	#127	C₂×#120	1	24	yes	—
1114	#127	C₂×#120	1	24	yes	—
1115	#127	C₂×#120	1	24	yes	—
1116	#127	C₂×#120	1	24	yes	—
1117	#127	C₂×#120	1	24	yes	—
1118	#127	C₂×#120	1	24	yes	—
1119	#127	C₂×#120	1	24	yes	—
1120	#127	C₂×#120	1	24	yes	—
1121	#127	C₂×#120	1	24	yes	—
1122	#127	C₂×#120	1	24	yes	—
1123	#127	C₂×#120	1	24	yes	—
1124	#127	C₂×#120	1	48	yes	—
1125	#127	C₂×#120	1	48	yes	—
1126	#127	C₂×#120	1	48	yes	—
1127	#127	C₂×#120	1	48	yes	—
1128	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1129	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1130	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1131	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1132	C₂×C₄⋊C₄	C₂³×D₄	1	6	yes	—
1133	C₂×C₄⋊C₄	C₂³×D₄	1	6	yes	—
1134	C₂×C₄⋊C₄	C₂³×D₄	1	6	yes	—
1135	C₂×C₄⋊C₄	C₂³×D₄	1	6	yes	—
1136	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1137	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1138	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1139	C₂×C₄⋊C₄	C₂³×D₄	1	12	yes	—
1140	C₂×C₂²⋊C₄	C₂³×D₄	1	12	yes	—
1141	C₂×C₂²⋊C₄	C₂³×D₄	1	12	yes	—
1142	C₂×C₂²⋊C₄	C₂³×D₄	1	12	yes	—
1143	C₂×C₂²⋊C₄	C₂³×D₄	1	12	yes	—
1144	C₂×C₂²⋊C₄	C₂³×D₄	1	24	yes	—
1145	C₂×C₂²⋊C₄	C₂³×D₄	1	24	yes	—
1146	C₂×C₂²⋊C₄	C₂³×D₄	1	24	yes	—
1147	C₂×C₂²⋊C₄	C₂³×D₄	1	24	yes	—
1148	C₂×C₂²⋊C₄	C₂³×D₄	1	96	yes	—
1149	C₂×C₂²⋊C₄	C₂³×D₄	1	96	yes	—
1150	C₂×C₂²⋊C₄	C₂³×D₄	1	12	yes	—
1151	C₂×C₂²⋊C₄	C₂⁶	1	12	yes	—
1152	C₂×C₂²⋊C₄	C₂⁶	1	24	yes	—
1153	C₂×C₂²⋊C₄	C₂⁶	1	24	yes	—
1154	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1155	C₂×C₄²	C₂×#120	1	3	yes	—
1156	C₂×C₄²	C₂×#120	1	3	yes	—
1157	C₂×C₄²	C₂×#120	1	3	yes	—
1158	C₂×C₄²	C₂×#120	1	3	yes	—
1159	C₂×C₄²	C₂×#120	1	3	yes	—
1160	C₂×C₄²	C₂×#120	1	3	yes	—
1161	C₂×C₄²	C₂×#120	1	3	yes	—
1162	C₂×C₄²	C₂×#120	1	6	yes	—
1163	C₂×C₄²	C₂×#120	1	6	yes	—
1164	C₂×C₄²	C₂×#120	1	6	yes	—
1165	C₂×C₄²	C₂×#120	1	6	yes	—
1166	C₂×C₄²	C₂×#120	1	6	yes	—
1167	C₂×C₄²	C₂×#120	1	6	yes	—
1168	C₂×C₄²	C₂×#120	1	6	yes	—
1169	C₂×C₄²	C₂³×D₄	1	3	yes	—
1170	C₂×C₄²	C₂³×D₄	1	3	yes	—
1171	C₂×C₄²	C₂³×D₄	1	3	yes	—
1172	C₂×C₄²	C₂³×D₄	1	3	yes	—
1173	C₂×C₄²	C₂³×D₄	1	3	yes	—
1174	C₂×C₄²	C₂³×D₄	1	3	yes	—
1175	C₂×C₄²	C₂³×D₄	1	3	yes	—
1176	C₂×C₄²	C₂³×D₄	1	3	yes	—
1177	C₂×C₄²	C₂³×D₄	1	3	yes	—
1178	C₂×C₄²	C₂³×D₄	1	3	yes	—
1179	C₂×C₄²	C₂³×D₄	1	3	yes	—
1180	C₂×C₄²	C₂³×D₄	1	3	yes	—
1181	C₂×C₄²	C₂³×D₄	1	3	yes	—
1182	C₂×C₄²	C₂³×D₄	1	3	yes	—
1183	C₂×C₄²	C₂³×D₄	1	3	yes	—
1184	C₂×C₄²	C₂³×D₄	1	3	yes	—
1185	C₂×C₄²	C₂³×D₄	1	12	yes	—
1186	C₂×C₄²	C₂³×D₄	1	12	yes	—
1187	C₂×C₄²	C₂³×D₄	1	12	yes	—
1188	C₂×C₄²	C₂³×D₄	1	12	yes	—
1189	C₂×C₄²	C₂³×D₄	1	12	yes	—
1190	C₂×C₄²	C₂³×D₄	1	12	yes	—
1191	C₂⁴	C₂²×#120	1	16	yes	—
1192	C₂⁴	C₂²×#120	1	48	yes	—
1193	C₂⁴	C₂⁴×D₄	1	12	yes	—
1194	C₂⁴	C₂⁴×D₄	1	24	yes	—
1195	C₂⁴	C₂⁴×D₄	1	3	yes	—
1196	C₂⁴	C₂⁴×D₄	1	48	yes	—
1197	C₂⁴	C₂⁴×D₄	1	3	yes	—
1198	C₂⁴	C₂⁷	1	1	yes	characteristic
1199	C₂×Q₈	#3484	1	24	yes	complemented
1200	C₂×D₄	C₂²×#120	1	16	yes	—
1201	C₂×D₄	C₂²×#120	1	16	yes	—
1202	C₂×D₄	C₂²×#120	1	16	yes	—
1203	C₂×D₄	C₂²×#120	1	48	yes	—
1204	C₂×D₄	C₂²×#120	1	16	yes	—
1205	C₂×D₄	C₂²×#120	1	16	yes	—
1206	C₂×D₄	C₂²×#120	1	48	yes	—
1207	C₂×D₄	C₂²×#120	1	48	yes	—
1208	C₂×D₄	C₂²×#120	1	48	yes	—
1209	C₂×D₄	C₂²×#120	1	48	yes	—
1210	C₂×D₄	C₂²×#120	1	48	yes	—
1211	C₂×D₄	C₂²×#120	1	16	yes	—
1212	C₂×D₄	#3484	1	24	yes	complemented
1213	C₂×D₄	C₂²×H(5,𝔽₂)	1	48	yes	—
1214	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1215	C₂²×C₄	C₂²×#120	1	3	yes	—
1216	C₂²×C₄	C₂²×#120	1	3	yes	—
1217	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1218	C₂²×C₄	C₂²×#120	1	3	yes	—
1219	C₂²×C₄	C₂²×#120	1	3	yes	—
1220	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1221	C₂²×C₄	C₂²×#120	1	6	yes	—
1222	C₂²×C₄	C₂²×#120	1	3	yes	—
1223	C₂²×C₄	C₂²×#120	1	3	yes	—
1224	C₂²×C₄	C₂²×#120	1	3	yes	—
1225	C₂²×C₄	C₂²×#120	1	3	yes	—
1226	C₂²×C₄	C₂²×#120	1	6	yes	—
1227	C₂²×C₄	C₂²×#120	1	6	yes	—
1228	C₂²×C₄	C₂²×#120	1	3	yes	—
1229	C₂²×C₄	#3484	1	48	yes	complemented
1230	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1231	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1232	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
1233	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1234	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1235	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1236	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1237	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1238	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1239	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1240	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1241	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1242	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1243	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
1244	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
1245	C₂²×C₄	C₂⁴×D₄	1	24	yes	—
1246	C₂²×C₄	C₂²×H(5,𝔽₂)	1	8	yes	—
1247	C₄²	C₂²×#120	1	1	yes	characteristic
1248	C₄²	C₂²×#120	1	1	yes	characteristic
1249	C₄²	C₂²×#120	1	3	yes	—
1250	C₄²	C₂²×#120	1	3	yes	—
1251	C₄²	C₂²×#120	1	1	yes	characteristic
1252	C₄²	C₂²×#120	1	3	yes	—
1253	C₄²	C₂²×#120	1	3	yes	—
1254	C₄²	C₂²×#120	1	1	yes	characteristic
1255	C₄²	C₂²×#120	1	3	yes	—
1256	C₄²	C₂²×#120	1	3	yes	—
1257	C₄²	C₂²×#120	1	3	yes	—
1258	C₄²	C₂²×#120	1	3	yes	—
1259	C₄²	C₂²×#120	1	6	yes	—
1260	C₄²	C₂²×#120	1	6	yes	—
1261	C₄²	C₂²×#120	1	3	yes	—
1262	C₄²	C₂²×#120	1	3	yes	—
1263	C₄²	C₂²×#120	1	3	yes	—
1264	C₄²	C₂²×#120	1	6	yes	—
1265	C₄²	C₂²×#120	1	6	yes	—
1266	C₄²	C₂²×#120	1	3	yes	—
1267	C₂³	C₂³×#120	1	1	yes	characteristic
1268	C₂³	C₂³×#120	1	3	yes	—
1269	C₂³	C₂³×#120	1	32	yes	—
1270	C₂³	C₂×#3484	1	24	yes	—
1271	C₂³	C₂⁵×D₄	1	3	yes	—
1272	C₂³	C₂³×H(5,𝔽₂)	1	4	yes	—
1273	C₂×C₄	#60399	1	4	yes	complemented
1274	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1275	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1276	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1277	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1278	C₂×C₄	C₂³×#120	1	3	yes	—
1279	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1280	C₂×C₄	C₂³×#120	1	3	yes	—
1281	C₂×C₄	C₂³×#120	1	3	yes	—
1282	C₂×C₄	C₂³×#120	1	3	yes	—
1283	C₂×C₄	C₂³×#120	1	3	yes	—
1284	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1285	C₂×C₄	C₂³×#120	1	3	yes	—
1286	C₂×C₄	C₂×#3484	1	12	yes	—
1287	C₂×C₄	C₂×#3484	1	12	yes	—
1288	C₂×C₄	C₂×#3484	1	24	yes	—
1289	C₂²	C₂×#60399	1	2	yes	—
1290	C₂²	C₂⁴×#120	1	1	yes	characteristic
1291	C₂²	C₂²×#3484	1	6	yes	—
1292	C₄	#7630939	1	2	yes	—
1293	C₄	#7630939	1	6	yes	—
1294	C₄	C₂×#60399	1	2	yes	—
1295	C₄	C₂×#60399	1	2	yes	—
1296	C₄	#10574873	1	2	yes	—
1297	C₂	C₂×#7630939	1	1	yes	characteristic
1298	C₂	C₂²×#60399	1	1	yes	characteristic
1299	C₂	C₂×#10574873	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂⁴×#120
commutator, Frattini, cosocle	C₂⁴	C₂⁷
LCS	G ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×#127 ◁ G
LECS	G ▷ C₂⁴ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72312892	C₂	semidirect
2. #72312709	C₂	semidirect
3. #72312446	C₂	semidirect
4. #72312294	C₂	semidirect
5. #72312157	C₂	semidirect
6. #72308090	C₂	semidirect
7. #72306640	C₂	semidirect
8. C₂×#10586097	C₂	semidirect
9. #72286197	C₂	semidirect
10. #72285985	C₂	semidirect
11. #72280115	C₂	semidirect
12. #72263930	C₂	semidirect
13. #72260861	C₂	semidirect
14. #72257824	C₂	semidirect
15. #72252419	C₂	semidirect
16. #72251173	C₂	semidirect
17. #72236702	C₂	semidirect
18. #72234135	C₂	semidirect
19. #72233689	C₂	semidirect
20. C₂²×H(7,𝔽₂)	C₂²	semidirect
21. #10586097	C₂²	semidirect
22. #10586097	C₂²	semidirect
23. #10586097	C₂²	semidirect
24. #10586097	C₂²	semidirect
25. C₂×D₄×H(5,𝔽₂)	C₂²	semidirect
26. C₂×D₄×H(5,𝔽₂)	C₂²	semidirect
27. C₂×#62852	C₂²	semidirect
28. C₂×#62812	C₂²	semidirect
30. C₂²×#3498	C₂²	semidirect
31. C₂×C₄×#585	C₂²	semidirect
32. C₂×#60399	C₂²	semidirect
33. #7737429	C₂²	semidirect
34. #7737411	C₂²	semidirect
35. #7726041	C₂²	semidirect
36. #7677134	C₂²	semidirect
37. #7677118	C₂²	semidirect
38. #7671946	C₂²	semidirect
39. #7671592	C₂²	semidirect
40. #7652795	C₂²	semidirect
41. #7646027	C₂²	semidirect
42. #7646027	C₂²	semidirect
43. #7641983	C₂²	semidirect
44. #7631286	C₂²	semidirect
45. #7631286	C₂²	semidirect
46. #7628578	C₂²	semidirect
47. #7628578	C₂²	semidirect
48. #7628157	C₂²	semidirect
49. #7626230	C₂²	semidirect
50. #6629395	C₂²	semidirect
51. #6629393	C₂²	semidirect
52. #6629391	C₂²	semidirect
53. #6629390	C₂²	semidirect
54. #6629390	C₂²	semidirect
55. #6629389	C₂²	semidirect
56. #6629388	C₂²	semidirect
57. #6629387	C₂²	semidirect
58. #6629386	C₂²	semidirect
59. #6629386	C₂²	semidirect
60. #6629260	C₂²	semidirect
61. #6629257	C₂²	semidirect
62. #6629121	C₂²	semidirect
63. #6629119	C₂²	semidirect
64. #6628984	C₂²	semidirect
65. #6628982	C₂²	semidirect
66. #6628901	C₂²	semidirect
67. #6628900	C₂²	semidirect
68. #6628898	C₂²	semidirect
69. #6628896	C₂²	semidirect
70. #6628894	C₂²	semidirect
71. #6628894	C₂²	semidirect
72. #6628892	C₂²	semidirect
73. #6628891	C₂²	semidirect
74. #6628891	C₂²	semidirect
75. C₂×#32898	C₂²	semidirect
76. #6591517	C₂²	semidirect
77. #6591514	C₂²	semidirect
78. #6591514	C₂²	semidirect
79. #6591510	C₂²	semidirect
80. #6591503	C₂²	semidirect
81. #6591500	C₂²	semidirect
82. #6591500	C₂²	semidirect
83. #6573726	C₂²	semidirect
84. #6573726	C₂²	semidirect
85. #6573723	C₂²	semidirect
86. #6573715	C₂²	semidirect
87. D₄×B(4,𝔽₂)	C₂²	semidirect
88. D₄×B(4,𝔽₂)	C₂²	semidirect
89. D₄×B(4,𝔽₂)	C₂²	semidirect
90. #6487653	C₂²	semidirect
91. #6487651	C₂²	semidirect
92. #6487649	C₂²	semidirect
93. #6487648	C₂²	semidirect
94. #6487648	C₂²	semidirect
95. #6487647	C₂²	semidirect
96. #6487646	C₂²	semidirect
97. #6487645	C₂²	semidirect
98. #6487644	C₂²	semidirect
99. #6487644	C₂²	semidirect
100. #6470246	C₂²	semidirect
101. #6470237	C₂²	semidirect
102. #6470234	C₂²	semidirect
103. #6470225	C₂²	semidirect
104. #6446743	C₂²	semidirect
105. #6446741	C₂²	semidirect
106. #6443350	C₂²	semidirect
107. #6443348	C₂²	semidirect
108. #6442726	C₂²	semidirect
109. #6442721	C₂²	semidirect
110. #6440465	C₂²	semidirect
111. #6438004	C₂²	semidirect
112. #6438001	C₂²	semidirect
113. #6437633	C₂²	semidirect
114. #6432951	C₂²	semidirect
115. #6432948	C₂²	semidirect
116. #6385980	C₂²	semidirect
117. #6385980	C₂²	semidirect
118. #6385971	C₂²	semidirect
119. #6385971	C₂²	semidirect
120. #6379015	C₂²	semidirect
121. #6379015	C₂²	semidirect
122. #6374247	C₂²	semidirect
123. #6374130	C₂²	semidirect
124. C₄×#3027	C₂²	semidirect
125. C₄×#3025	C₂²	semidirect
126. #6370937	C₂²	semidirect
127. #6370937	C₂²	semidirect
128. #6370735	C₂²	semidirect
129. #6370693	C₂²	semidirect
136. C₂³×H(5,𝔽₂)	C₂³	semidirect
147. C₂×#3498	D₄	semidirect
148. C₂×#3498	D₄	semidirect
149. C₂×#3498	D₄	semidirect
150. C₂×#3498	D₄	semidirect
158. C₂×#3484	C₂³	semidirect
159. C₂²×#550	D₄	semidirect
160. C₂²×#550	D₄	semidirect
161. C₂²×#550	C₂³	semidirect
162. C₂²×#550	C₂³	semidirect
163. C₂²×D₄²	D₄	semidirect
164. C₂²×D₄²	D₄	semidirect
167. C₂²×D₄²	C₂³	semidirect
168. C₂²×D₄²	C₂³	semidirect
169. C₂²×D₄²	C₂³	semidirect
170. C₂²×D₄²	C₂³	semidirect
172. C₂²×#535	D₄	semidirect
174. C₂²×#535	C₂³	semidirect
175. C₂²×#535	C₂³	semidirect
176. C₂²×#532	D₄	semidirect
178. C₂²×#532	C₂³	semidirect
179. C₂²×#532	C₂³	semidirect
180. C₂³×#127	D₄	semidirect
182. C₂³×#127	C₂³	semidirect
191. C₂²×C₄×#41	C₂³	semidirect
193. C₂×#3027	C₂³	semidirect
194. C₂×#3026	C₂³	semidirect
196. C₂×#3025	C₂³	semidirect
197. C₂²×B(4,𝔽₂)	C₂³	semidirect
198. C₂×#2883	C₂³	semidirect
199. #39338	C₂³	semidirect
200. #39336	C₂³	semidirect
201. #39336	C₂³	semidirect
202. #38906	C₂³	semidirect
203. #38904	C₂³	semidirect
204. #38904	C₂³	semidirect
205. #38020	C₂³	semidirect
206. #37644	C₂³	semidirect
207. #37536	C₂³	semidirect
208. #37450	C₂³	semidirect
209. #37436	C₂³	semidirect
210. #36704	C₂³	semidirect
211. #36702	C₂³	semidirect
212. #36624	C₂³	semidirect
213. #36236	C₂³	semidirect
214. #36212	C₂³	semidirect
215. #36212	C₂³	semidirect
216. D₄×#120	C₂³	semidirect
217. D₄×#120	C₂³	semidirect
218. D₄×#120	C₂³	semidirect
219. #35528	C₂³	semidirect
220. #35527	C₂³	semidirect
221. #35514	C₂³	semidirect
222. #35512	C₂³	semidirect
223. #35347	C₂³	semidirect
224. #35346	C₂³	semidirect
225. #35301	C₂³	semidirect
226. #35289	C₂³	semidirect
227. #35279	C₂³	semidirect
228. #35274	C₂³	semidirect
229. #35272	C₂³	semidirect
230. #35262	C₂³	semidirect
231. #35262	C₂³	semidirect
233. #35250	C₂³	semidirect
234. #35250	C₂³	semidirect
235. #35250	C₂³	semidirect
236. #35249	C₂³	semidirect
237. #35237	C₂³	semidirect
238. #35237	C₂³	semidirect
239. #35222	C₂³	semidirect
240. #35165	C₂³	semidirect
241. #35152	C₂³	semidirect
242. #35129	C₂³	semidirect
243. #35076	C₂³	semidirect
244. #35076	C₂³	semidirect
245. #34980	C₂³	semidirect
246. #34980	C₂³	semidirect
247. #34971	C₂³	semidirect
248. #34963	C₂³	semidirect
249. #34963	C₂³	semidirect
250. #34956	C₂³	semidirect
251. #34955	C₂³	semidirect
252. #34952	C₂³	semidirect
253. #34936	C₂³	semidirect
254. #34935	C₂³	semidirect
255. #34875	C₂³	semidirect
256. #34809	C₂³	semidirect
257. #34809	C₂³	semidirect
259. #34736	C₂³	semidirect
260. #34736	C₂³	semidirect
261. #34736	C₂³	semidirect
262. C₂×#2403	C₂³	semidirect
263. #34364	C₂³	semidirect
264. #34364	C₂³	semidirect
265. #34256	C₂³	semidirect
266. #34210	C₂³	semidirect
267. #34210	C₂³	semidirect
268. #34171	C₂³	semidirect
269. #34171	C₂³	semidirect
270. #34171	C₂³	semidirect
271. C₄×#535	C₂³	semidirect
272. C₄×#525	C₂³	semidirect
273. #34012	C₂³	semidirect
274. #34012	C₂³	semidirect
275. #33023	C₂³	semidirect
276. #33022	C₂³	semidirect
277. #33021	C₂³	semidirect
278. #33021	C₂³	semidirect
279. #33020	C₂³	semidirect
280. #33020	C₂³	semidirect
281. #32977	C₂³	semidirect
282. #32976	C₂³	semidirect
283. #32976	C₂³	semidirect
284. #32975	C₂³	semidirect
285. #32975	C₂³	semidirect
286. #32928	C₂³	semidirect
287. #32927	C₂³	semidirect
288. #32926	C₂³	semidirect
289. #32926	C₂³	semidirect
290. #32926	C₂³	semidirect
292. #32901	C₂³	semidirect
294. #32900	C₂³	semidirect
295. #32900	C₂³	semidirect
298. #32899	C₂³	semidirect
299. #32899	C₂³	semidirect
302. #32898	C₂³	semidirect
303. #32898	C₂³	semidirect
304. #32898	C₂³	semidirect
305. #32898	C₂³	semidirect
306. #32898	C₂³	semidirect
307. #29637	C₂³	semidirect
308. #29636	C₂³	semidirect
309. #29636	C₂³	semidirect
310. #29635	C₂³	semidirect
311. #29634	C₂³	semidirect
312. #29634	C₂³	semidirect
313. #25901	C₂³	semidirect
314. #25900	C₂³	semidirect
315. #25900	C₂³	semidirect
316. #25899	C₂³	semidirect
317. #25899	C₂³	semidirect
318. #25773	C₂³	semidirect
319. #25772	C₂³	semidirect
320. #25771	C₂³	semidirect
321. #25771	C₂³	semidirect
322. #25771	C₂³	semidirect
323. #24405	C₂³	semidirect
324. #24404	C₂³	semidirect
325. #24404	C₂³	semidirect
326. #24404	C₂³	semidirect
327. #24262	C₂³	semidirect
328. #24261	C₂³	semidirect
329. #24261	C₂³	semidirect
330. #24260	C₂³	semidirect
331. #24260	C₂³	semidirect
332. #24260	C₂³	semidirect
333. #24058	C₂³	semidirect
334. #24056	C₂³	semidirect
335. #23903	C₂³	semidirect
336. #23900	C₂³	semidirect
337. #23516	C₂³	semidirect
338. #23514	C₂³	semidirect
339. #23445	C₂³	semidirect
340. #23443	C₂³	semidirect
341. D₄×#99	C₂³	semidirect
342. D₄×#99	C₂³	semidirect
343. D₄×#99	C₂³	semidirect
344. D₄×#99	C₂³	semidirect
345. #21794	C₂³	semidirect
346. #21794	C₂³	semidirect
347. #21793	C₂³	semidirect
348. #21793	C₂³	semidirect
349. #21750	C₂³	semidirect
350. #21746	C₂³	semidirect
351. #21482	C₂³	semidirect
352. C₄×#458	C₂³	semidirect
353. C₄×#458	C₂³	semidirect
354. C₄×B(4,𝔽₂)	C₂³	semidirect
355. C₄×B(4,𝔽₂)	C₂³	semidirect
356. C₄×B(4,𝔽₂)	C₂³	semidirect
357. #21212	C₂³	semidirect
358. #21212	C₂³	semidirect
359. #20985	C₂³	semidirect
360. #20961	C₂³	semidirect
361. #20959	C₂³	semidirect
362. #20890	C₂³	semidirect
363. #20888	C₂³	semidirect
364. #20723	C₂³	semidirect
365. #20723	C₂³	semidirect
366. #20723	C₂³	semidirect
367. #20723	C₂³	semidirect
368. #20722	C₂³	semidirect
369. #20722	C₂³	semidirect
370. #20722	C₂³	semidirect
371. #20722	C₂³	semidirect
372. #20688	C₂³	semidirect
373. #20688	C₂³	semidirect
374. #20632	C₂³	semidirect
375. #20632	C₂³	semidirect
377. #20610	C₂³	semidirect
378. #20609	C₂³	semidirect
380. #20608	C₂³	semidirect
381. C₂×#1790	C₂³	semidirect
382. #20586	C₂³	semidirect
383. #20585	C₂³	semidirect
386. #20584	C₂³	semidirect
387. C₂×#1781	C₂³	semidirect
388. C₄×#410	C₂³	semidirect
389. C₄×#410	C₂³	semidirect
394. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
395. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
401. C₂³×#41	C₂×D₄	semidirect
402. C₂³×#41	C₂×D₄	semidirect
407. C₂³×#41	C₂⁴	semidirect
408. C₂³×#41	C₂⁴	semidirect
409. C₂⁴×D₄	C₂×D₄	semidirect
410. C₂⁴×D₄	C₂×D₄	semidirect
411. C₂⁴×D₄	C₂×D₄	semidirect
412. C₂⁴×D₄	C₂×D₄	semidirect
418. C₂⁴×D₄	C₂⁴	semidirect
419. C₂⁴×D₄	C₂⁴	semidirect
420. C₂⁴×D₄	C₂⁴	semidirect
421. C₂⁴×D₄	C₂⁴	semidirect
427. C₂×#550	C₂×D₄	semidirect
428. C₂×#550	C₂×D₄	semidirect
429. C₂×#550	C₂×D₄	semidirect
430. C₂×#550	C₂×D₄	semidirect
431. C₂×#550	C₂×D₄	semidirect
432. C₂×#550	C₂×D₄	semidirect
433. C₂×#550	C₂×D₄	semidirect
434. C₂×#550	C₂×D₄	semidirect
435. C₂×D₄²	C₂×D₄	semidirect
436. C₂×D₄²	C₂×D₄	semidirect
437. C₂×D₄²	C₂×D₄	semidirect
438. C₂×D₄²	C₂×D₄	semidirect
439. C₂×D₄²	C₂×D₄	semidirect
440. C₂×D₄²	C₂×D₄	semidirect
441. C₂×D₄²	C₂×D₄	semidirect
442. C₂×D₄²	C₂×D₄	semidirect
443. C₂×D₄²	C₂×D₄	semidirect
444. C₂×D₄²	C₂×D₄	semidirect
445. C₂×D₄²	C₂×D₄	semidirect
446. C₂×D₄²	C₂×D₄	semidirect
453. C₂×#535	C₂×D₄	semidirect
454. C₂×#535	C₂×D₄	semidirect
455. C₂×#535	C₂×D₄	semidirect
456. C₂×#535	C₂×D₄	semidirect
457. C₂×#535	C₂×D₄	semidirect
458. C₂×#535	C₂×D₄	semidirect
462. C₂×#535	C₂⁴	semidirect
464. C₂×#534	C₂⁴	semidirect
465. C₂×#532	C₂×D₄	semidirect
466. C₂×#532	C₂×D₄	semidirect
467. C₂×#532	C₂×D₄	semidirect
468. C₂×#532	C₂×D₄	semidirect
469. C₂×#532	C₂×D₄	semidirect
470. C₂×#532	C₂×D₄	semidirect
471. C₂×#532	C₂×D₄	semidirect
472. C₂×#532	C₂×D₄	semidirect
477. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
478. C₂²×C₄⋊Q₈	C₂⁴	semidirect
487. C₂²×#127	C₂×D₄	semidirect
488. C₂²×#127	C₂×D₄	semidirect
489. C₂²×#127	C₂×D₄	semidirect
490. C₂²×#127	C₂×D₄	semidirect
491. C₂²×#127	C₂×D₄	semidirect
492. C₂²×#127	C₂×D₄	semidirect
493. C₂²×#127	C₂×D₄	semidirect
494. C₂²×#127	C₂×D₄	semidirect
499. C₂²×#127	C₂⁴	semidirect
500. C₂²×#127	C₂⁴	semidirect
501. C₂²×#127	C₂⁴	semidirect
502. C₂²×#127	C₂⁴	semidirect
503. C₂²×#124	C₂×D₄	semidirect
504. C₂²×#124	C₂×D₄	semidirect
505. C₂²×#124	C₂⁴	semidirect
506. C₂²×#124	C₂⁴	semidirect
508. C₂×#525	C₂⁴	semidirect
509. C₂²×#121	C₂×D₄	semidirect
510. C₂²×#121	C₂×D₄	semidirect
511. C₂²×#121	C₂×D₄	semidirect
512. C₂²×#121	C₂×D₄	semidirect
513. C₂²×#121	C₂×D₄	semidirect
514. C₂²×#121	C₂×D₄	semidirect
519. C₂²×#121	C₂⁴	semidirect
520. C₂²×#121	C₂⁴	semidirect
521. C₂²×#121	C₂⁴	semidirect
522. C₂²×#121	C₂⁴	semidirect
523. C₂²×#121	C₂⁴	semidirect
524. C₂²×#121	C₂⁴	semidirect
525. C₂²×#120	C₂×D₄	semidirect
526. C₂²×#120	C₂×D₄	semidirect
529. C₂²×#120	C₂⁴	semidirect
530. C₂²×#120	C₂⁴	semidirect
531. C₂²×#120	C₂⁴	semidirect
539. C₂×#518	C₂⁴	semidirect
540. C₂×C₄×#41	C₂×D₄	semidirect
541. C₂×C₄×#41	C₂×D₄	semidirect
542. C₂×C₄×#41	C₂×D₄	semidirect
543. C₂×C₄×#41	C₂×D₄	semidirect
548. C₂²×C₄×Q₈	C₂×D₄	semidirect
549. C₂²×C₄×Q₈	C₂×D₄	semidirect
550. C₂²×C₄×Q₈	C₂⁴	semidirect
551. C₂²×C₄×Q₈	C₂⁴	semidirect
552. C₂²×C₄×D₄	C₂×D₄	semidirect
553. C₂²×C₄×D₄	C₂×D₄	semidirect
554. C₂²×C₄×D₄	C₂×D₄	semidirect
555. C₂²×C₄×D₄	C₂×D₄	semidirect
556. C₂²×C₄×D₄	C₂×D₄	semidirect
557. C₂²×C₄×D₄	C₂×D₄	semidirect
562. C₂²×C₄×D₄	C₂⁴	semidirect
563. C₂²×C₄×D₄	C₂⁴	semidirect
564. C₂²×C₄×D₄	C₂⁴	semidirect
565. C₂²×C₄×D₄	C₂⁴	semidirect
566. C₂²×C₄×D₄	C₂⁴	semidirect
567. C₂²×C₄×D₄	C₂⁴	semidirect
568. C₂²×#117	C₂×D₄	semidirect
571. C₂²×#117	C₂⁴	semidirect
572. C₂³×C₄²	C₂×D₄	semidirect
574. C₂³×C₄²	C₂⁴	semidirect
576. C₂×#458	C₂⁴	semidirect
579. C₂×B(4,𝔽₂)	C₂⁴	semidirect
580. C₂×B(4,𝔽₂)	C₂⁴	semidirect
583. C₂×#410	C₂⁴	semidirect
584. C₂²×#99	C₂⁴	semidirect
585. #2854	C₂⁴	semidirect
586. #2854	C₂⁴	semidirect
587. #2849	C₂⁴	semidirect
588. #2847	C₂⁴	semidirect
589. #2847	C₂⁴	semidirect
590. #2847	C₂⁴	semidirect
591. #2846	C₂⁴	semidirect
592. #2622	C₂⁴	semidirect
593. #2617	C₂⁴	semidirect
594. #2613	C₂⁴	semidirect
595. #2591	C₂⁴	semidirect
596. #2579	C₂⁴	semidirect
597. #2539	C₂⁴	semidirect
598. #2534	C₂⁴	semidirect
599. #2504	C₂⁴	semidirect
600. #2504	C₂⁴	semidirect
601. #2501	C₂⁴	semidirect
602. #2487	C₂⁴	semidirect
603. #2487	C₂⁴	semidirect
604. #2486	C₂⁴	semidirect
605. #2484	C₂⁴	semidirect
607. #2482	C₂⁴	semidirect
608. #2482	C₂⁴	semidirect
609. #2436	C₂⁴	semidirect
610. #2436	C₂⁴	semidirect
611. #2433	C₂⁴	semidirect
612. #2433	C₂⁴	semidirect
613. #2433	C₂⁴	semidirect
614. #2412	C₂⁴	semidirect
615. #2410	C₂⁴	semidirect
616. #2410	C₂⁴	semidirect
617. #2410	C₂⁴	semidirect
618. #2409	C₂⁴	semidirect
619. #2409	C₂⁴	semidirect
620. #2408	C₂⁴	semidirect
621. #2408	C₂⁴	semidirect
622. #2408	C₂⁴	semidirect
624. #2406	C₂⁴	semidirect
629. #2405	C₂⁴	semidirect
632. #2404	C₂⁴	semidirect
633. #2404	C₂⁴	semidirect
638. #2403	C₂⁴	semidirect
639. #2403	C₂⁴	semidirect
640. #2403	C₂⁴	semidirect
641. D₄×C₂²⋊C₄	C₂⁴	semidirect
642. D₄×C₂²⋊C₄	C₂⁴	semidirect
643. D₄×C₂²⋊C₄	C₂⁴	semidirect
644. D₄×C₂²⋊C₄	C₂⁴	semidirect
645. #2321	C₂⁴	semidirect
646. #2317	C₂⁴	semidirect
648. #2311	C₂⁴	semidirect
649. #2309	C₂⁴	semidirect
650. #2309	C₂⁴	semidirect
651. #2308	C₂⁴	semidirect
652. #2308	C₂⁴	semidirect
653. C₄×#123	C₂⁴	semidirect
654. C₄×#123	C₂⁴	semidirect
655. C₄×#120	C₂⁴	semidirect
656. C₄×#120	C₂⁴	semidirect
657. C₄×#120	C₂⁴	semidirect
659. #2297	C₂⁴	semidirect
660. #2296	C₂⁴	semidirect
661. C₂×#386	C₂⁴	semidirect
662. #2285	C₂⁴	semidirect
663. #2285	C₂⁴	semidirect
664. #2283	C₂⁴	semidirect
665. #2283	C₂⁴	semidirect
666. #2283	C₂⁴	semidirect
667. #2283	C₂⁴	semidirect
674. #2280	C₂⁴	semidirect
676. C₄×#117	C₂⁴	semidirect
677. C₄×#117	C₂⁴	semidirect
678. #2044	C₂⁴	semidirect
679. #2044	C₂⁴	semidirect
680. #2044	C₂⁴	semidirect
681. #2022	C₂⁴	semidirect
682. #2021	C₂⁴	semidirect
683. #2021	C₂⁴	semidirect
684. #1964	C₂⁴	semidirect
685. #1964	C₂⁴	semidirect
686. #1964	C₂⁴	semidirect
687. #1964	C₂⁴	semidirect
688. #1898	C₂⁴	semidirect
689. #1890	C₂⁴	semidirect
690. #1889	C₂⁴	semidirect
691. #1889	C₂⁴	semidirect
692. #1867	C₂⁴	semidirect
693. #1867	C₂⁴	semidirect
694. #1867	C₂⁴	semidirect
695. #1820	C₂⁴	semidirect
696. #1820	C₂⁴	semidirect
699. #1799	C₂⁴	semidirect
700. #1799	C₂⁴	semidirect
701. #1799	C₂⁴	semidirect
702. #1799	C₂⁴	semidirect
706. #1790	C₂⁴	semidirect
707. #1790	C₂⁴	semidirect
708. #1790	C₂⁴	semidirect
711. #1782	C₂⁴	semidirect
715. #1781	C₂⁴	semidirect
716. C₄×#99	C₂⁴	semidirect
717. C₄×#99	C₂⁴	semidirect
718. C₄×#99	C₂⁴	semidirect
719. C₄×#99	C₂⁴	semidirect
720. #1740	C₂⁴	semidirect
721. #1740	C₂⁴	semidirect
725. #585	H(5,𝔽₂)	semidirect
1199. C₂×Q₈	#3484	semidirect
1212. C₂×D₄	#3484	semidirect
1229. C₂²×C₄	#3484	semidirect
1273. C₂×C₄	#60399	semidirect

Maximal subgroups

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

subgroup	index
#72312892	2
#72312709	2
#72312446	2
#72312294	2
#72312157	2
#72308090	2
#72306640	2
C₂×#10586097	2
#72286197	2
#72285985	2
#72280115	2
#72263930	2
#72260861	2
#72257824	2
#72252419	2
#72251173	2
#72236702	2
#72234135	2
#72233689	2