Subgroups — #72313039

Order 2048.

Only the 6592 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1392 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	#72313034	C₂	1	2	yes	maximal, complemented
3	#72313029	C₂	1	2	yes	maximal, complemented
4	#72312997	C₂	1	1	yes	maximal, characteristic, complemented
5	#72312859	C₂	1	4	yes	maximal, complemented
6	#72312754	C₂	1	4	yes	maximal, complemented
7	#72312727	C₂	1	8	yes	maximal, complemented
8	#72312656	C₂	1	2	yes	maximal, complemented
9	#72312424	C₂	1	2	yes	maximal, complemented
10	#72312337	C₂	1	4	yes	maximal, complemented
11	#72312261	C₂	1	4	yes	maximal, complemented
12	C₂×#7622874	C₂	1	1	yes	maximal, characteristic, complemented
13	#72303216	C₂	1	2	yes	maximal, complemented
14	#72302959	C₂	1	1	yes	maximal, characteristic, complemented
15	#72302921	C₂	1	1	yes	maximal, characteristic, complemented
16	#72281572	C₂	1	8	yes	maximal, complemented
17	C₂×#10586342	C₂	1	1	yes	maximal, characteristic, complemented
18	#72256279	C₂	1	2	yes	maximal, complemented
19	#72251988	C₂	1	2	yes	maximal, complemented
20	#72251941	C₂	1	4	yes	maximal, complemented
21	C₂²×#33546	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#7622868	C₂	1	2	yes	maximal, complemented
23	#72233522	C₂	1	4	yes	maximal, complemented
24	C₂×#63022	C₂²	1	1	yes	characteristic, complemented
25	C₂×#63021	C₂²	1	2	yes	complemented
26	C₂×#63021	C₂²	1	1	yes	characteristic, complemented
27	C₂×#63020	C₂²	1	2	yes	complemented
28	C₂×#63017	C₂²	1	2	yes	complemented
29	C₂×#63017	C₂²	1	4	yes	complemented
30	C₂×#63016	C₂²	1	1	yes	characteristic, complemented
31	C₂×#63011	C₂²	1	1	yes	characteristic, complemented
32	C₂×#63011	C₂²	1	2	yes	complemented
33	C₂×#62759	C₂²	1	1	yes	characteristic
34	C₂×#62759	C₂²	1	2	yes	complemented
35	C₂×#62729	C₂²	1	2	yes	—
36	C₂×#62729	C₂²	1	4	yes	complemented
37	#10586020	C₂²	1	1	yes	characteristic, complemented
38	C₂×#62812	C₂²	1	1	yes	characteristic
39	C₂×#62811	C₂²	1	2	yes	—
40	C₂²×#3481	C₂²	1	1	yes	characteristic
41	C₂²×#3481	C₂²	1	2	yes	complemented
42	C₂×#60398	C₂²	1	2	yes	complemented
43	C₂²×#3025	C₂²	1	2	yes	complemented
44	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#3018	C₂²	1	1	yes	characteristic, complemented
46	C₂×#33561	C₂²	1	2	yes	complemented
47	C₂×#33560	C₂²	1	4	yes	complemented
48	C₂×#33559	C₂²	1	2	yes	complemented
49	C₂×#33558	C₂²	1	4	yes	complemented
50	C₂×#33557	C₂²	1	4	yes	complemented
51	C₂×#33556	C₂²	1	4	yes	complemented
52	C₂×#33555	C₂²	1	4	yes	complemented
53	C₂×#33554	C₂²	1	4	yes	complemented
54	C₂×#33553	C₂²	1	4	yes	complemented
55	C₂×#33552	C₂²	1	8	yes	complemented
56	C₂×#33551	C₂²	1	8	yes	complemented
57	C₂×#33550	C₂²	1	8	yes	complemented
58	C₂×#33550	C₂²	1	4	yes	complemented
59	C₂×#33546	C₂²	1	2	yes	complemented
60	C₂×#33546	C₂²	1	2	yes	complemented
61	C₂×#33546	C₂²	1	4	yes	complemented
62	C₂×#33546	C₂²	1	8	yes	complemented
63	C₂×#33546	C₂²	1	4	yes	complemented
64	C₂×#33546	C₂²	1	2	yes	complemented
65	C₂×#33546	C₂²	1	4	yes	complemented
66	C₂×#33546	C₂²	1	2	yes	complemented
67	C₂²×#2198	C₂²	1	2	yes	complemented
68	C₂²×#2197	C₂²	1	4	yes	complemented
69	C₂²×#2196	C₂²	1	2	yes	complemented
70	C₂×#33358	C₂²	1	2	yes	complemented
71	C₂²×#2126	C₂²	1	1	yes	characteristic, complemented
72	C₂²×#2126	C₂²	1	1	yes	characteristic, complemented
73	C₂×#33347	C₂²	1	2	yes	complemented
74	C₂×#33347	C₂²	1	2	yes	complemented
75	C₂²×#2120	C₂²	1	2	yes	complemented
76	C₂²×#2120	C₂²	1	2	yes	complemented
77	#6437637	C₂²	1	4	yes	complemented
78	#6437636	C₂²	1	4	yes	complemented
79	#6437635	C₂²	1	8	yes	complemented
80	#6437634	C₂²	1	4	yes	complemented
81	#6437633	C₂²	1	4	yes	complemented
82	#6437632	C₂²	1	8	yes	complemented
83	#6437620	C₂²	1	8	yes	complemented
84	#6437616	C₂²	1	8	yes	complemented
85	#6437457	C₂²	1	4	yes	complemented
86	#6437456	C₂²	1	4	yes	complemented
87	#6437455	C₂²	1	2	yes	complemented
88	#6437454	C₂²	1	2	yes	complemented
89	#6437453	C₂²	1	2	yes	complemented
90	#6437452	C₂²	1	2	yes	complemented
91	#6437444	C₂²	1	4	yes	complemented
92	#6437437	C₂²	1	4	yes	complemented
93	#6371465	C₂²	1	2	yes	complemented
94	C₂×#20959	C₂²	1	2	yes	complemented
95	#6371454	C₂²	1	1	yes	characteristic, complemented
96	C₂×#20952	C₂²	1	1	yes	characteristic, complemented
97	#6370703	C₂²	1	1	yes	characteristic, complemented
98	#6370692	C₂²	1	2	yes	complemented
99	#511789	C₂²	1	8	yes	complemented
100	#511788	C₂²	1	16	yes	complemented
101	#511787	C₂²	1	8	yes	complemented
102	#511786	C₂²	1	16	yes	complemented
103	#511785	C₂²	1	8	yes	complemented
104	#511785	C₂²	1	8	yes	complemented
105	#511784	C₂²	1	16	yes	complemented
106	#511783	C₂²	1	16	yes	complemented
107	#511782	C₂²	1	16	yes	complemented
108	#511781	C₂²	1	16	yes	complemented
109	#511780	C₂²	1	16	yes	complemented
110	#511780	C₂²	1	16	yes	complemented
111	#511779	C₂²	1	16	yes	complemented
112	#511779	C₂²	1	16	yes	complemented
113	#511774	C₂²	1	8	yes	complemented
114	#511774	C₂²	1	16	yes	complemented
115	#511774	C₂²	1	8	yes	complemented
116	#511773	C₂²	1	8	yes	complemented
117	#511772	C₂²	1	16	yes	complemented
118	#511771	C₂²	1	8	yes	complemented
119	#493633	C₂²	1	4	yes	complemented
120	#493632	C₂²	1	4	yes	complemented
121	#493631	C₂²	1	2	yes	complemented
122	#493630	C₂²	1	2	yes	complemented
123	#493629	C₂²	1	4	yes	complemented
124	#493587	C₂²	1	4	yes	complemented
125	#493586	C₂²	1	4	yes	complemented
126	#493585	C₂²	1	4	yes	complemented
127	#493584	C₂²	1	4	yes	complemented
128	#493583	C₂²	1	8	yes	complemented
129	#493582	C₂²	1	8	yes	complemented
130	#493581	C₂²	1	8	yes	complemented
131	#493581	C₂²	1	4	yes	complemented
132	#493577	C₂²	1	2	yes	complemented
133	#493577	C₂²	1	2	yes	complemented
134	#493577	C₂²	1	4	yes	complemented
135	#493577	C₂²	1	8	yes	complemented
136	#493577	C₂²	1	4	yes	complemented
137	#493577	C₂²	1	2	yes	complemented
138	#493577	C₂²	1	4	yes	complemented
139	#493577	C₂²	1	2	yes	complemented
140	C₂×#12760	C₂²	1	2	yes	complemented
141	C₂×#12761	C₂²	1	4	yes	complemented
142	C₂×#12759	C₂²	1	2	yes	complemented
143	#493435	C₂²	1	2	yes	complemented
144	#493434	C₂²	1	2	yes	complemented
145	#493433	C₂²	1	4	yes	complemented
146	#493432	C₂²	1	2	yes	complemented
147	#493431	C₂²	1	2	yes	complemented
148	#493430	C₂²	1	4	yes	complemented
149	#493429	C₂²	1	4	yes	complemented
150	#493428	C₂²	1	4	yes	complemented
151	#493427	C₂²	1	8	yes	complemented
152	#493426	C₂²	1	4	yes	complemented
153	#493425	C₂²	1	4	yes	complemented
154	#493424	C₂²	1	8	yes	complemented
155	#493369	C₂²	1	4	yes	complemented
156	#493365	C₂²	1	4	yes	complemented
157	#493356	C₂²	1	8	yes	complemented
158	#493352	C₂²	1	8	yes	complemented
159	C₂²×#585	D₄	1	1	yes	characteristic, complemented
160	C₂²×#585	C₂³	1	1	yes	characteristic
161	C₂²×#585	C₂³	1	1	yes	characteristic, complemented
162	C₂⁴×#41	D₄	1	2	yes	complemented
163	#62859	C₂³	1	2	yes	complemented
164	#62852	C₂³	1	2	yes	complemented
165	#62842	C₂³	1	4	yes	complemented
166	#62811	C₂³	1	4	yes	complemented
167	C₂×#3500	D₄	1	2	yes	complemented
168	C₂×#3500	D₄	1	1	yes	characteristic, complemented
169	C₂×#3500	D₄	1	1	yes	characteristic, complemented
170	C₂×#3500	C₂³	1	1	yes	characteristic
171	C₂×#3500	C₂³	1	2	yes	—
172	C₂×#3500	C₂³	1	1	yes	characteristic
173	C₂×#3499	D₄	1	2	yes	complemented
174	C₂×#3499	D₄	1	1	yes	characteristic, complemented
175	C₂×#3499	C₂³	1	1	yes	characteristic
176	C₂×#3498	D₄	1	1	yes	characteristic, complemented
177	C₂×#3498	C₂³	1	2	yes	—
178	C₂×#3498	C₂³	1	1	yes	characteristic
179	C₂×#3487	D₄	1	2	yes	complemented
180	C₂×#3487	C₂³	1	2	yes	—
181	C₂×#3486	D₄	1	2	yes	complemented
182	C₂×#3486	C₂³	1	2	yes	—
183	C₂×#3485	D₄	1	4	yes	complemented
184	C₂×#3485	D₄	1	2	yes	complemented
185	C₂×#3485	C₂³	1	4	yes	—
186	C₂×#3485	C₂³	1	2	yes	—
187	C₂×#3484	D₄	1	4	yes	complemented
188	C₂×#3484	D₄	1	2	yes	complemented
189	C₂×#3484	C₂³	1	4	yes	—
190	C₂×#3484	C₂³	1	2	yes	—
191	#62759	D₄	1	16	yes	complemented
192	C₂×#3550	C₂³	1	1	yes	characteristic
193	C₂×#3550	C₂³	1	2	yes	complemented
194	C₂×#3549	C₂³	1	1	yes	characteristic
195	C₂×#3549	C₂³	1	2	yes	complemented
196	C₂×#3545	C₂³	1	2	yes	—
197	C₂×#3545	C₂³	1	4	yes	complemented
198	C₂×#3543	C₂³	1	2	yes	—
199	C₂×#3543	C₂³	1	2	yes	complemented
200	C₂×#3543	C₂³	1	2	yes	complemented
201	C₂×#3551	C₂³	1	2	yes	—
202	C₂×#3551	C₂³	1	4	yes	complemented
203	#62729	D₄	1	32	yes	complemented
204	C₂×#3540	C₂³	1	2	yes	—
205	C₂×#3540	C₂³	1	2	yes	—
206	C₂×#3540	C₂³	1	4	yes	complemented
207	C₂×#3540	C₂³	1	4	yes	complemented
208	C₂×#3533	C₂³	1	4	yes	—
209	C₂×#3533	C₂³	1	4	yes	complemented
210	C₂×#3533	C₂³	1	4	yes	complemented
211	C₂×#3538	C₂³	1	2	yes	—
212	C₂×#3538	C₂³	1	4	yes	complemented
213	C₂×#3537	C₂³	1	2	yes	—
214	C₂×#3537	C₂³	1	4	yes	complemented
215	C₂×#3532	C₂³	1	4	yes	—
216	C₂×#3532	C₂³	1	4	yes	complemented
217	C₂×#3532	C₂³	1	4	yes	complemented
218	C₂×#3481	D₄	1	16	yes	complemented
219	C₂×#3481	C₂³	1	4	yes	—
220	C₂×#3481	C₂³	1	2	yes	—
221	C₂×#3481	C₂³	1	2	yes	—
222	C₂×#3481	C₂³	1	1	yes	characteristic
223	C₂×#3481	C₂³	1	1	yes	characteristic
224	C₂×#3481	C₂³	1	1	yes	characteristic
225	C₂×#3481	C₂³	1	2	yes	—
226	C₂×#3481	C₂³	1	1	yes	characteristic
227	C₂×#3481	C₂³	1	2	yes	complemented
228	C₂×#3481	C₂³	1	4	yes	complemented
229	C₂×#3481	C₂³	1	2	yes	complemented
230	C₂²×#559	C₂³	1	1	yes	characteristic
231	C₂²×#559	C₂³	1	2	yes	complemented
232	C₂²×#551	C₂³	1	2	yes	—
233	C₂²×#551	C₂³	1	4	yes	complemented
234	C₂²×D₄²	C₂³	1	1	yes	characteristic
235	C₂²×D₄²	C₂³	1	2	yes	complemented
236	C₂×#3529	C₂³	1	4	yes	—
237	C₂×#3529	C₂³	1	2	yes	—
238	C₂×#3449	D₄	1	2	yes	complemented
239	C₂×#3449	D₄	1	1	yes	characteristic, complemented
240	C₂×#3449	D₄	1	4	yes	complemented
241	C₂×#3449	D₄	1	2	yes	complemented
242	C₂×#3449	C₂³	1	2	yes	—
243	C₂×#3449	C₂³	1	1	yes	characteristic
244	C₂×#3449	C₂³	1	4	yes	—
245	C₂×#3449	C₂³	1	2	yes	—
246	C₂²×#532	D₄	1	1	yes	characteristic, complemented
247	C₂²×#532	D₄	1	2	yes	complemented
248	C₂²×#532	C₂³	1	1	yes	characteristic
249	C₂²×#532	C₂³	1	2	yes	—
250	C₂²×#525	D₄	1	2	yes	complemented
251	C₂²×#525	D₄	1	4	yes	complemented
252	C₂²×#525	C₂³	1	2	yes	—
253	C₂²×#525	C₂³	1	4	yes	—
254	C₂×#3428	D₄	1	2	yes	complemented
255	C₂×#3428	C₂³	1	1	yes	characteristic, complemented
256	C₂²×C₄×#41	D₄	1	1	yes	characteristic, complemented
257	C₂×#3028	C₂³	1	4	yes	complemented
258	C₂×#3027	C₂³	1	4	yes	complemented
259	C₂×#3026	C₂³	1	8	yes	complemented
260	C₂×#3025	C₂³	1	4	yes	—
261	C₂×#3025	C₂³	1	4	yes	—
262	C₂×#3025	C₂³	1	4	yes	complemented
263	C₂×#3025	C₂³	1	4	yes	complemented
264	C₂×#3025	C₂³	1	8	yes	complemented
265	C₂²×#458	C₂³	1	4	yes	complemented
266	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
267	C₂×#3022	C₂³	1	2	yes	complemented
268	C₂×#3021	C₂³	1	2	yes	complemented
269	C₂×#3019	C₂³	1	4	yes	complemented
270	C₂×#3018	C₂³	1	2	yes	—
271	C₂×#3018	C₂³	1	2	yes	—
272	C₂×#3018	C₂³	1	4	yes	complemented
273	C₂×#3018	C₂³	1	2	yes	complemented
274	C₂×#3018	C₂³	1	2	yes	complemented
275	C₂²×#455	C₂³	1	2	yes	complemented
276	C₂²×#453	C₂³	1	2	yes	—
277	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
278	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
279	C₂²×#410	C₂³	1	2	yes	complemented
280	C₂²×#410	C₂³	1	2	yes	complemented
281	C₂×#2201	C₂³	1	8	yes	complemented
282	C₂×#2201	C₂³	1	16	yes	complemented
283	C₂×#2200	C₂³	1	16	yes	complemented
284	C₂×#2200	C₂³	1	16	yes	complemented
285	C₂×#2200	C₂³	1	16	yes	complemented
286	C₂×#2199	C₂³	1	8	yes	complemented
287	C₂×#2199	C₂³	1	16	yes	complemented
288	C₂×#2198	C₂³	1	4	yes	—
289	C₂×#2198	C₂³	1	8	yes	—
290	C₂×#2198	C₂³	1	4	yes	—
291	C₂×#2198	C₂³	1	16	yes	complemented
292	C₂×#2198	C₂³	1	8	yes	complemented
293	C₂×#2197	C₂³	1	8	yes	—
294	C₂×#2197	C₂³	1	16	yes	—
295	C₂×#2197	C₂³	1	8	yes	—
296	C₂×#2197	C₂³	1	16	yes	complemented
297	C₂×#2197	C₂³	1	16	yes	complemented
298	C₂×#2197	C₂³	1	8	yes	complemented
299	C₂×#2197	C₂³	1	8	yes	complemented
300	C₂×#2196	C₂³	1	4	yes	—
301	C₂×#2196	C₂³	1	16	yes	—
302	C₂×#2196	C₂³	1	8	yes	—
303	C₂×#2196	C₂³	1	8	yes	—
304	C₂×#2196	C₂³	1	4	yes	—
305	C₂×#2129	C₂³	1	4	yes	complemented
306	C₂×#2128	C₂³	1	4	yes	complemented
307	C₂×#2127	C₂³	1	8	yes	complemented
308	C₂×#2126	C₂³	1	2	yes	—
309	C₂×#2126	C₂³	1	2	yes	—
310	C₂×#2126	C₂³	1	2	yes	—
311	C₂×#2126	C₂³	1	2	yes	—
312	C₂×#2126	C₂³	1	2	yes	complemented
313	C₂×#2126	C₂³	1	2	yes	complemented
314	C₂×#2126	C₂³	1	8	yes	complemented
315	C₂×#2126	C₂³	1	2	yes	complemented
316	C₂×#2126	C₂³	1	2	yes	complemented
317	C₂²×#354	C₂³	1	2	yes	complemented
318	C₂²×#354	C₂³	1	2	yes	complemented
319	C₂²×#353	C₂³	1	2	yes	—
320	C₂²×#353	C₂³	1	2	yes	—
321	C₂×#2123	C₂³	1	4	yes	complemented
322	C₂×#2123	C₂³	1	4	yes	complemented
323	C₂×#2122	C₂³	1	4	yes	complemented
324	C₂×#2122	C₂³	1	4	yes	complemented
325	C₂×#2121	C₂³	1	8	yes	complemented
326	C₂×#2121	C₂³	1	8	yes	complemented
327	C₂×#2120	C₂³	1	4	yes	—
328	C₂×#2120	C₂³	1	4	yes	—
329	C₂×#2120	C₂³	1	4	yes	—
330	C₂×#2120	C₂³	1	4	yes	—
331	C₂×#2120	C₂³	1	4	yes	complemented
332	C₂×#2120	C₂³	1	4	yes	complemented
333	C₂×#2120	C₂³	1	8	yes	complemented
334	C₂×#2120	C₂³	1	8	yes	complemented
335	C₂×#2120	C₂³	1	4	yes	complemented
336	C₂×#2120	C₂³	1	4	yes	complemented
337	C₂²×#352	C₂³	1	4	yes	complemented
338	C₂²×#352	C₂³	1	4	yes	complemented
339	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
340	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
341	#23914	C₂³	1	8	yes	complemented
342	#23913	C₂³	1	8	yes	complemented
343	#23912	C₂³	1	8	yes	complemented
344	#23912	C₂³	1	8	yes	complemented
345	#23908	C₂³	1	8	yes	—
346	#23908	C₂³	1	8	yes	complemented
347	#23907	C₂³	1	8	yes	complemented
348	#23906	C₂³	1	8	yes	—
349	#23905	C₂³	1	16	yes	complemented
350	#23904	C₂³	1	16	yes	complemented
351	#23903	C₂³	1	16	yes	complemented
352	#23903	C₂³	1	16	yes	complemented
353	#23902	C₂³	1	16	yes	—
354	#23902	C₂³	1	16	yes	complemented
355	#23901	C₂³	1	16	yes	complemented
356	#23900	C₂³	1	16	yes	—
357	#20962	C₂³	1	4	yes	complemented
358	#20961	C₂³	1	4	yes	complemented
359	#20960	C₂³	1	8	yes	complemented
360	#20959	C₂³	1	4	yes	—
361	#20959	C₂³	1	4	yes	—
362	#20959	C₂³	1	4	yes	complemented
363	#20959	C₂³	1	4	yes	complemented
364	#20959	C₂³	1	8	yes	complemented
365	C₂×#1890	C₂³	1	4	yes	complemented
366	C₂×#1889	C₂³	1	4	yes	—
367	#20956	C₂³	1	2	yes	complemented
368	#20955	C₂³	1	2	yes	complemented
369	#20953	C₂³	1	4	yes	complemented
370	#20952	C₂³	1	2	yes	—
371	#20952	C₂³	1	2	yes	—
372	#20952	C₂³	1	4	yes	complemented
373	#20952	C₂³	1	2	yes	complemented
374	#20952	C₂³	1	2	yes	complemented
375	C₂×#1887	C₂³	1	2	yes	—
376	C₂×#1885	C₂³	1	2	yes	complemented
377	#20593	C₂³	1	2	yes	complemented
378	#20592	C₂³	1	4	yes	complemented
379	#20592	C₂³	1	2	yes	complemented
380	#20591	C₂³	1	4	yes	complemented
381	#20587	C₂³	1	4	yes	complemented
382	#20586	C₂³	1	4	yes	complemented
383	#20585	C₂³	1	8	yes	complemented
384	#20584	C₂³	1	8	yes	complemented
385	#12764	C₂³	1	16	yes	complemented
386	#12764	C₂³	1	8	yes	complemented
387	#12763	C₂³	1	16	yes	complemented
388	#12763	C₂³	1	8	yes	complemented
389	#12762	C₂³	1	16	yes	complemented
390	#12762	C₂³	1	16	yes	complemented
391	#12762	C₂³	1	16	yes	complemented
392	#12761	C₂³	1	8	yes	complemented
393	#12761	C₂³	1	8	yes	complemented
394	#12761	C₂³	1	8	yes	complemented
395	#12761	C₂³	1	8	yes	complemented
396	#12761	C₂³	1	16	yes	complemented
397	#12761	C₂³	1	16	yes	complemented
398	#12761	C₂³	1	16	yes	complemented
399	#12760	C₂³	1	4	yes	complemented
400	#12760	C₂³	1	8	yes	complemented
401	#12760	C₂³	1	4	yes	complemented
402	#12760	C₂³	1	16	yes	complemented
403	#12760	C₂³	1	8	yes	complemented
404	#12759	C₂³	1	4	yes	complemented
405	#12759	C₂³	1	8	yes	complemented
406	#12759	C₂³	1	4	yes	complemented
407	#12759	C₂³	1	16	yes	complemented
408	#12759	C₂³	1	8	yes	complemented
409	#12698	C₂³	1	8	yes	complemented
410	#12697	C₂³	1	8	yes	complemented
411	#12696	C₂³	1	8	yes	complemented
412	#12696	C₂³	1	8	yes	complemented
413	#12695	C₂³	1	8	yes	complemented
414	#12695	C₂³	1	8	yes	complemented
415	#12694	C₂³	1	8	yes	complemented
416	#12693	C₂³	1	8	yes	complemented
417	#12692	C₂³	1	16	yes	complemented
418	#12691	C₂³	1	16	yes	complemented
419	#12690	C₂³	1	16	yes	complemented
420	#12690	C₂³	1	16	yes	complemented
421	#12689	C₂³	1	16	yes	complemented
422	#12689	C₂³	1	16	yes	complemented
423	#12688	C₂³	1	16	yes	complemented
424	#12687	C₂³	1	16	yes	complemented
425	C₂×#585	C₂⁴	1	2	yes	—
426	C₂×#585	C₂⁴	1	2	yes	—
427	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
428	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
429	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic
430	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
431	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic, complemented
432	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic, complemented
433	C₂²×2₋¹⁺⁴	C₂⁴	1	1	yes	characteristic
434	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
435	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
436	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
437	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
438	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
439	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
440	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
441	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
442	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
443	C₂³×#41	C₂×D₄	1	1	yes	characteristic
444	C₂³×#41	C₂×D₄	1	2	yes	—
445	C₂³×#41	C₂×D₄	1	2	yes	—
446	C₂³×#41	C₂×D₄	1	4	yes	—
447	C₂³×#41	C₂×D₄	1	1	yes	characteristic
448	C₂³×#41	C₂×D₄	1	4	yes	—
449	C₂³×#41	C₂×D₄	1	2	yes	—
450	C₂³×#41	C₂×D₄	1	2	yes	—
451	C₂³×#41	C₂×D₄	1	1	yes	characteristic
452	C₂³×#41	C₂×D₄	1	1	yes	characteristic
453	C₂³×#41	C₂×D₄	1	2	yes	complemented
454	C₂³×#41	C₂×D₄	1	2	yes	complemented
455	C₂³×#41	C₂×D₄	1	4	yes	complemented
456	C₂³×#41	C₂×D₄	1	2	yes	complemented
457	C₂³×#41	C₂×D₄	1	2	yes	complemented
458	C₂³×#41	C₂⁴	1	1	yes	characteristic
459	C₂³×#41	C₂⁴	1	2	yes	—
460	C₂⁴×Q₈	C₂×D₄	1	2	yes	complemented
461	C₂⁴×D₄	C₂×D₄	1	4	yes	—
462	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
463	C₂⁵×C₄	C₂×D₄	1	2	yes	—
464	C₂⁵×C₄	C₂×D₄	1	4	yes	complemented
465	#3551	C₂×D₄	1	16	yes	complemented
466	#3550	C₂×D₄	1	8	yes	complemented
467	#3549	C₂×D₄	1	8	yes	complemented
468	#3545	C₂×D₄	1	16	yes	complemented
469	#3543	C₂×D₄	1	16	yes	complemented
470	#3540	C₂×D₄	1	16	yes	complemented
471	#3540	C₂×D₄	1	16	yes	complemented
472	#3538	C₂×D₄	1	16	yes	complemented
473	#3537	C₂×D₄	1	16	yes	complemented
474	#3533	C₂×D₄	1	32	yes	complemented
475	#3532	C₂×D₄	1	32	yes	complemented
476	#3529	C₂×D₄	1	32	yes	complemented
477	#3529	C₂×D₄	1	16	yes	complemented
478	C₂×#563	C₂⁴	1	4	yes	—
479	C₂×#563	C₂⁴	1	2	yes	—
480	C₂×H(3,𝔽₄)	C₂⁴	1	4	yes	—
481	C₂×H(3,𝔽₄)	C₂⁴	1	2	yes	—
482	C₂×#560	C₂⁴	1	4	yes	—
483	C₂×#560	C₂⁴	1	4	yes	—
484	C₂×#560	C₂⁴	1	4	yes	—
485	#3485	C₂⁴	1	8	yes	—
486	#3484	C₂⁴	1	8	yes	—
487	#3481	C₂×D₄	1	32	yes	complemented
488	#3481	C₂×D₄	1	16	yes	complemented
489	#3481	C₂×D₄	1	16	yes	complemented
490	#3481	C₂×D₄	1	8	yes	complemented
491	#3481	C₂×D₄	1	8	yes	complemented
492	#3481	C₂×D₄	1	8	yes	complemented
493	#3481	C₂×D₄	1	16	yes	complemented
494	#3481	C₂×D₄	1	8	yes	complemented
495	C₂×#559	C₂×D₄	1	8	yes	complemented
496	C₂×#559	C₂⁴	1	4	yes	—
497	C₂×#559	C₂⁴	1	2	yes	—
498	C₂×#559	C₂⁴	1	2	yes	—
499	C₂×#559	C₂⁴	1	1	yes	characteristic
500	C₂×#559	C₂⁴	1	1	yes	characteristic
501	C₂×#551	C₂×D₄	1	16	yes	complemented
502	C₂×#551	C₂⁴	1	4	yes	—
503	C₂×#551	C₂⁴	1	2	yes	—
504	C₂×#551	C₂⁴	1	4	yes	—
505	C₂×#551	C₂⁴	1	2	yes	—
506	C₂×#551	C₂⁴	1	2	yes	—
507	C₂×#551	C₂⁴	1	4	yes	—
508	C₂×#551	C₂⁴	1	2	yes	—
509	C₂×D₄²	C₂×D₄	1	8	yes	complemented
510	C₂×D₄²	C₂⁴	1	4	yes	—
511	C₂×D₄²	C₂⁴	1	2	yes	—
512	C₂×D₄²	C₂⁴	1	2	yes	—
513	C₂×D₄²	C₂⁴	1	1	yes	characteristic
514	C₂×D₄²	C₂⁴	1	1	yes	characteristic
515	#3449	C₂×D₄	1	16	yes	—
516	#3449	C₂×D₄	1	16	yes	—
517	#3449	C₂×D₄	1	16	yes	—
518	C₂×#536	C₂×D₄	1	2	yes	—
519	C₂×#536	C₂×D₄	1	4	yes	—
520	C₂×#536	C₂×D₄	1	2	yes	—
521	C₂×#536	C₂×D₄	1	1	yes	characteristic
522	C₂×#536	C₂×D₄	1	2	yes	—
523	C₂×#536	C₂×D₄	1	2	yes	—
524	C₂×#536	C₂×D₄	1	4	yes	complemented
525	C₂×#536	C₂×D₄	1	2	yes	complemented
526	C₂×#536	C₂×D₄	1	4	yes	complemented
527	C₂×#536	C₂×D₄	1	2	yes	complemented
528	C₂×#536	C₂×D₄	1	2	yes	complemented
529	C₂×#536	C₂×D₄	1	2	yes	complemented
530	C₂×#536	C₂×D₄	1	2	yes	complemented
531	C₂×#536	C₂×D₄	1	1	yes	characteristic, complemented
532	C₂×#536	C₂×D₄	1	2	yes	complemented
533	C₂×#536	C₂×D₄	1	2	yes	complemented
534	C₂×#536	C₂×D₄	1	1	yes	characteristic, complemented
535	C₂×#536	C₂×D₄	1	2	yes	complemented
536	C₂×#536	C₂⁴	1	2	yes	—
537	C₂×#536	C₂⁴	1	4	yes	—
538	C₂×#536	C₂⁴	1	1	yes	characteristic
539	C₂×#536	C₂⁴	1	2	yes	—
540	C₂×#535	C₂×D₄	1	2	yes	—
541	C₂×#535	C₂×D₄	1	4	yes	—
542	C₂×#535	C₂×D₄	1	1	yes	characteristic
543	C₂×#535	C₂×D₄	1	2	yes	—
544	C₂×#535	C₂×D₄	1	2	yes	—
545	C₂×#535	C₂×D₄	1	2	yes	—
546	C₂×#535	C₂×D₄	1	2	yes	—
547	C₂×#535	C₂×D₄	1	4	yes	complemented
548	C₂×#535	C₂×D₄	1	2	yes	complemented
549	C₂×#535	C₂×D₄	1	4	yes	complemented
550	C₂×#535	C₂×D₄	1	2	yes	complemented
551	C₂×#535	C₂×D₄	1	2	yes	complemented
552	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
553	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
554	C₂×#535	C₂×D₄	1	2	yes	complemented
555	C₂×#535	C₂⁴	1	2	yes	—
556	C₂×#535	C₂⁴	1	4	yes	—
557	C₂×#535	C₂⁴	1	1	yes	characteristic
558	C₂×#535	C₂⁴	1	2	yes	—
559	C₂×#535	C₂⁴	1	2	yes	—
560	C₂×#535	C₂⁴	1	2	yes	—
561	C₂×#535	C₂⁴	1	2	yes	—
562	C₂×#534	C₂×D₄	1	4	yes	—
563	C₂×#534	C₂×D₄	1	4	yes	—
564	C₂×#534	C₂×D₄	1	4	yes	—
565	C₂×#534	C₂×D₄	1	4	yes	—
566	C₂×#534	C₂×D₄	1	4	yes	—
567	C₂×#534	C₂×D₄	1	4	yes	complemented
568	C₂×#534	C₂×D₄	1	4	yes	complemented
569	C₂×#534	C₂×D₄	1	4	yes	complemented
570	C₂×#534	C₂×D₄	1	4	yes	complemented
571	C₂×#534	C₂⁴	1	4	yes	—
572	C₂×#534	C₂⁴	1	4	yes	—
573	C₂×#534	C₂⁴	1	4	yes	—
574	C₂×#532	C₂×D₄	1	8	yes	—
575	C₂×#532	C₂×D₄	1	8	yes	—
576	C₂×#532	C₂×D₄	1	1	yes	characteristic
577	C₂×#532	C₂×D₄	1	1	yes	characteristic
578	C₂×#532	C₂×D₄	1	1	yes	characteristic
579	C₂×#532	C₂×D₄	1	2	yes	—
580	C₂×#532	C₂×D₄	1	1	yes	characteristic
581	C₂×#532	C₂×D₄	1	2	yes	—
582	C₂×#532	C₂×D₄	1	2	yes	—
583	C₂×#532	C₂×D₄	1	2	yes	—
584	C₂×#532	C₂×D₄	1	2	yes	—
585	C₂×#532	C₂×D₄	1	2	yes	complemented
586	C₂×#532	C₂×D₄	1	2	yes	complemented
587	C₂×#532	C₂×D₄	1	2	yes	complemented
588	C₂×#532	C₂×D₄	1	2	yes	complemented
589	C₂×#532	C₂×D₄	1	2	yes	complemented
590	C₂×#532	C₂×D₄	1	2	yes	complemented
591	C₂×#532	C₂×D₄	1	2	yes	complemented
592	C₂×#532	C₂×D₄	1	2	yes	complemented
593	C₂×#532	C₂⁴	1	1	yes	characteristic
594	C₂×#532	C₂⁴	1	1	yes	characteristic
595	C₂×#532	C₂⁴	1	1	yes	characteristic
596	C₂×#532	C₂⁴	1	1	yes	characteristic
597	C₂×#532	C₂⁴	1	2	yes	—
598	C₂×#532	C₂⁴	1	2	yes	—
599	C₂×#532	C₂⁴	1	2	yes	—
600	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
601	C₂²×C₄⋊Q₈	C₂×D₄	1	2	yes	complemented
602	C₂²×C₄⋊Q₈	C₂×D₄	1	2	yes	complemented
603	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
604	C₂²×#127	C₂×D₄	1	2	yes	—
605	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
606	C₂²×#127	C₂⁴	1	1	yes	characteristic
607	C₂²×#127	C₂⁴	1	2	yes	—
608	C₂²×#124	C₂×D₄	1	1	yes	characteristic
609	C₂²×#124	C₂×D₄	1	2	yes	—
610	C₂²×#124	C₂×D₄	1	2	yes	complemented
611	C₂²×#124	C₂×D₄	1	2	yes	complemented
612	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
613	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
614	C₂²×#124	C₂⁴	1	1	yes	characteristic
615	C₂²×#124	C₂⁴	1	2	yes	—
616	C₂×#525	C₂×D₄	1	16	yes	—
617	C₂×#525	C₂×D₄	1	16	yes	—
618	C₂×#525	C₂×D₄	1	2	yes	—
619	C₂×#525	C₂×D₄	1	2	yes	—
620	C₂×#525	C₂×D₄	1	2	yes	—
621	C₂×#525	C₂×D₄	1	4	yes	—
622	C₂×#525	C₂×D₄	1	2	yes	—
623	C₂×#525	C₂×D₄	1	4	yes	—
624	C₂×#525	C₂×D₄	1	4	yes	—
625	C₂×#525	C₂×D₄	1	4	yes	complemented
626	C₂×#525	C₂×D₄	1	2	yes	complemented
627	C₂×#525	C₂×D₄	1	4	yes	complemented
628	C₂×#525	C₂×D₄	1	2	yes	complemented
629	C₂×#525	C₂×D₄	1	4	yes	complemented
630	C₂×#525	C₂×D₄	1	2	yes	complemented
631	C₂×#525	C₂×D₄	1	4	yes	complemented
632	C₂×#525	C₂×D₄	1	2	yes	complemented
633	C₂×#525	C₂×D₄	1	4	yes	complemented
634	C₂×#525	C₂×D₄	1	4	yes	complemented
635	C₂×#525	C₂×D₄	1	4	yes	complemented
636	C₂×#525	C₂×D₄	1	4	yes	complemented
637	C₂×#525	C₂⁴	1	2	yes	—
638	C₂×#525	C₂⁴	1	2	yes	—
639	C₂×#525	C₂⁴	1	2	yes	—
640	C₂×#525	C₂⁴	1	2	yes	—
641	C₂×#525	C₂⁴	1	4	yes	—
642	C₂×#525	C₂⁴	1	4	yes	—
643	C₂×#525	C₂⁴	1	4	yes	—
644	C₂²×#123	C₂×D₄	1	2	yes	—
645	C₂²×#123	C₂×D₄	1	4	yes	—
646	C₂²×#123	C₂×D₄	1	4	yes	—
647	C₂²×#123	C₂×D₄	1	4	yes	complemented
648	C₂²×#123	C₂×D₄	1	4	yes	complemented
649	C₂²×#123	C₂⁴	1	2	yes	—
650	C₂²×#123	C₂⁴	1	4	yes	—
651	C₂²×#120	C₂×D₄	1	2	yes	—
652	C₂²×#120	C₂×D₄	1	4	yes	—
653	C₂²×#120	C₂×D₄	1	4	yes	—
654	C₂²×#120	C₂×D₄	1	4	yes	complemented
655	C₂²×#120	C₂×D₄	1	4	yes	complemented
656	C₂²×#120	C₂⁴	1	2	yes	—
657	C₂²×#120	C₂⁴	1	4	yes	—
658	#3428	C₂⁴	1	2	yes	—
659	#3428	C₂⁴	1	2	yes	—
660	C₂×#519	C₂×D₄	1	2	yes	complemented
661	C₂×#519	C₂×D₄	1	2	yes	complemented
662	C₂×#518	C₂×D₄	1	4	yes	—
663	C₂×#518	C₂×D₄	1	4	yes	—
664	C₂×#518	C₂×D₄	1	2	yes	complemented
665	C₂×#518	C₂×D₄	1	2	yes	complemented
666	C₂×#518	C₂⁴	1	2	yes	—
667	C₂×C₄×#41	C₂×D₄	1	2	yes	—
668	C₂×C₄×#41	C₂×D₄	1	2	yes	—
669	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
670	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
671	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
672	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
673	C₂²×#117	C₂×D₄	1	2	yes	—
674	C₂²×#117	C₂×D₄	1	2	yes	—
675	C₂²×#117	C₂×D₄	1	1	yes	characteristic
676	C₂²×#117	C₂×D₄	1	4	yes	complemented
677	C₂²×#117	C₂×D₄	1	4	yes	complemented
678	C₂²×#117	C₂×D₄	1	2	yes	complemented
679	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
680	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
681	C₂×#458	C₂⁴	1	8	yes	—
682	C₂×#458	C₂⁴	1	16	yes	—
683	C₂×#458	C₂⁴	1	8	yes	—
684	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
685	C₂×B(4,𝔽₂)	C₂⁴	1	16	yes	—
686	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
687	C₂×#455	C₂⁴	1	4	yes	—
688	C₂×#455	C₂⁴	1	8	yes	—
689	C₂×#455	C₂⁴	1	4	yes	—
690	C₂×#453	C₂⁴	1	4	yes	—
691	C₂×#453	C₂⁴	1	8	yes	—
692	C₂×#453	C₂⁴	1	4	yes	—
693	C₂×#413	C₂⁴	1	2	yes	—
694	C₂×#413	C₂⁴	1	2	yes	—
695	C₂×#413	C₂⁴	1	2	yes	—
696	C₂×#413	C₂⁴	1	2	yes	—
697	C₂²×#100	C₂⁴	1	2	yes	—
698	C₂²×#100	C₂⁴	1	2	yes	—
699	C₂×#410	C₂⁴	1	4	yes	—
700	C₂×#410	C₂⁴	1	4	yes	—
701	C₂×#410	C₂⁴	1	4	yes	—
702	C₂×#410	C₂⁴	1	4	yes	—
703	C₂²×#99	C₂⁴	1	4	yes	—
704	C₂²×#99	C₂⁴	1	4	yes	—
705	C₂×#354	C₂⁴	1	4	yes	—
706	C₂×#354	C₂⁴	1	4	yes	—
707	C₂×#354	C₂⁴	1	16	yes	—
708	C₂×#354	C₂⁴	1	4	yes	—
709	C₂×#354	C₂⁴	1	4	yes	—
710	C₂×#353	C₂⁴	1	4	yes	—
711	C₂×#353	C₂⁴	1	4	yes	—
712	C₂×#353	C₂⁴	1	4	yes	—
713	C₂×#353	C₂⁴	1	16	yes	—
714	C₂×#353	C₂⁴	1	4	yes	—
715	C₂×#352	C₂⁴	1	8	yes	—
716	C₂×#352	C₂⁴	1	8	yes	—
717	C₂×#352	C₂⁴	1	16	yes	—
718	C₂×#352	C₂⁴	1	8	yes	—
719	C₂×#352	C₂⁴	1	16	yes	—
720	C₂×#352	C₂⁴	1	8	yes	—
721	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	8	yes	—
722	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	8	yes	—
723	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	8	yes	—
724	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
725	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
726	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	8	yes	—
727	#1890	C₂⁴	1	8	yes	—
728	#1890	C₂⁴	1	16	yes	—
729	#1890	C₂⁴	1	8	yes	—
730	#1889	C₂⁴	1	8	yes	—
731	#1889	C₂⁴	1	16	yes	—
732	#1889	C₂⁴	1	8	yes	—
733	#1887	C₂⁴	1	4	yes	—
734	#1887	C₂⁴	1	8	yes	—
735	#1887	C₂⁴	1	4	yes	—
736	#1885	C₂⁴	1	4	yes	—
737	#1885	C₂⁴	1	8	yes	—
738	#1885	C₂⁴	1	4	yes	—
739	#1785	C₂⁴	1	8	yes	—
740	#1783	C₂⁴	1	8	yes	—
741	#1782	C₂⁴	1	16	yes	—
742	#1781	C₂⁴	1	16	yes	—
743	C₂⁶	C₂²×D₄	1	2	yes	—
744	C₂⁶	C₂²×D₄	1	4	yes	—
745	C₂×H(5,𝔽₂)	C₂⁵	1	4	yes	—
746	C₂²×#41	#120	1	1	yes	characteristic
747	C₂²×#41	#120	1	2	yes	—
748	C₂²×#41	#120	1	2	yes	—
749	C₂²×#41	#120	1	4	yes	—
750	C₂²×#41	#120	1	2	yes	—
751	C₂²×#41	#120	1	2	yes	—
752	C₂²×#41	#120	1	2	yes	—
753	C₂²×#41	#120	1	4	yes	—
754	C₂²×#41	#120	1	4	yes	—
755	C₂²×#41	#120	1	4	yes	—
756	C₂²×#41	#120	1	4	yes	—
757	C₂²×#41	#120	1	4	yes	—
758	C₂²×#41	#120	1	1	yes	characteristic
759	C₂²×#41	#120	1	16	yes	complemented
760	C₂²×#41	#120	1	8	yes	complemented
761	C₂²×#41	#120	1	8	yes	complemented
762	C₂²×#41	C₂²×D₄	1	4	yes	—
763	C₂²×#41	C₂²×D₄	1	8	yes	—
764	C₂²×#41	C₂²×D₄	1	4	yes	—
765	C₂²×#41	C₂²×D₄	1	2	yes	—
766	C₂²×#41	C₂²×D₄	1	2	yes	—
767	C₂²×#41	C₂²×D₄	1	2	yes	—
768	C₂²×#41	C₂²×D₄	1	2	yes	—
769	C₂²×#41	C₂²×D₄	1	2	yes	—
770	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
771	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
772	C₂²×#41	C₂²×D₄	1	4	yes	—
773	C₂²×#41	C₂²×D₄	1	2	yes	—
774	C₂²×#41	C₂²×D₄	1	4	yes	—
775	C₂²×#41	C₂²×D₄	1	4	yes	—
776	C₂²×#41	C₂²×D₄	1	2	yes	—
777	C₂²×#41	C₂²×D₄	1	4	yes	—
778	C₂²×#41	C₂²×D₄	1	2	yes	—
779	C₂²×#41	C₂²×D₄	1	2	yes	—
780	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
781	C₂²×#41	C₂²×D₄	1	2	yes	—
782	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
783	C₂²×#41	C₂²×D₄	1	2	yes	—
784	C₂²×#41	C₂²×D₄	1	2	yes	—
785	C₂²×#41	C₂²×D₄	1	2	yes	—
786	C₂²×#41	C₂²×D₄	1	2	yes	—
787	C₂²×#41	C₂²×D₄	1	2	yes	—
788	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
789	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
790	C₂²×#41	C₂²×D₄	1	2	yes	—
791	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
792	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
793	C₂²×#41	C₂⁵	1	2	yes	—
794	C₂²×#41	C₂⁵	1	1	yes	characteristic
795	C₂²×#41	C₂⁵	1	1	yes	characteristic
796	C₂³×Q₈	#120	1	2	yes	—
797	C₂³×Q₈	#120	1	1	yes	characteristic
798	C₂³×Q₈	#120	1	4	yes	—
799	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
800	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
801	C₂³×Q₈	C₂²×D₄	1	2	yes	—
802	C₂³×Q₈	C₂²×D₄	1	2	yes	—
803	C₂³×Q₈	C₂²×D₄	1	4	yes	—
804	C₂³×Q₈	C₂²×D₄	1	2	yes	—
805	C₂³×Q₈	C₂²×D₄	1	2	yes	—
806	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
807	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
808	C₂³×Q₈	C₂²×D₄	1	2	yes	—
809	C₂³×Q₈	C₂²×D₄	1	2	yes	—
810	C₂³×D₄	#120	1	1	yes	characteristic
811	C₂³×D₄	#120	1	2	yes	—
812	C₂³×D₄	#120	1	4	yes	—
813	C₂³×D₄	#120	1	2	yes	—
814	C₂³×D₄	#120	1	4	yes	—
815	C₂³×D₄	#120	1	2	yes	—
816	C₂³×D₄	C₂²×D₄	1	2	yes	—
817	C₂³×D₄	C₂²×D₄	1	4	yes	—
818	C₂³×D₄	C₂²×D₄	1	4	yes	—
819	C₂³×D₄	C₂²×D₄	1	4	yes	—
820	C₂³×D₄	C₂²×D₄	1	4	yes	—
821	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
822	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
823	C₂³×D₄	C₂²×D₄	1	4	yes	—
824	C₂³×D₄	C₂²×D₄	1	4	yes	—
825	C₂³×D₄	C₂²×D₄	1	2	yes	—
826	C₂³×D₄	C₂²×D₄	1	2	yes	—
827	C₂³×D₄	C₂²×D₄	1	2	yes	—
828	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
829	C₂³×D₄	C₂²×D₄	1	2	yes	—
830	C₂³×D₄	C₂²×D₄	1	2	yes	—
831	C₂³×D₄	C₂²×D₄	1	4	yes	—
832	C₂³×D₄	C₂²×D₄	1	4	yes	—
833	C₂³×D₄	C₂²×D₄	1	4	yes	—
834	C₂³×D₄	C₂⁵	1	1	yes	characteristic
835	C₂³×D₄	C₂⁵	1	2	yes	—
836	C₂⁴×C₄	#120	1	4	yes	—
837	C₂⁴×C₄	#120	1	2	yes	—
838	C₂⁴×C₄	#120	1	16	yes	complemented
839	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
840	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
841	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
842	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
843	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
844	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
845	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
846	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
847	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
848	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
849	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
850	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
851	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
852	#563	C₂²×D₄	1	16	yes	—
853	#563	C₂²×D₄	1	8	yes	—
854	H(3,𝔽₄)	C₂²×D₄	1	16	yes	—
855	H(3,𝔽₄)	C₂²×D₄	1	8	yes	—
856	#560	C₂²×D₄	1	16	yes	—
857	#560	C₂²×D₄	1	16	yes	—
858	#560	C₂²×D₄	1	16	yes	—
859	#559	C₂²×D₄	1	8	yes	—
860	#559	C₂²×D₄	1	4	yes	—
861	#559	C₂²×D₄	1	4	yes	—
862	#559	C₂²×D₄	1	16	yes	—
863	#559	C₂²×D₄	1	8	yes	—
864	#551	C₂²×D₄	1	8	yes	—
865	#551	C₂²×D₄	1	8	yes	—
866	#551	C₂²×D₄	1	8	yes	—
867	#551	C₂²×D₄	1	8	yes	—
868	#551	C₂²×D₄	1	16	yes	—
869	#551	C₂²×D₄	1	16	yes	—
870	#551	C₂²×D₄	1	16	yes	—
871	D₄²	C₂²×D₄	1	8	yes	—
872	D₄²	C₂²×D₄	1	4	yes	—
873	D₄²	C₂²×D₄	1	4	yes	—
874	D₄²	C₂²×D₄	1	16	yes	—
875	D₄²	C₂²×D₄	1	8	yes	—
876	#536	#120	1	16	yes	complemented
877	#536	#120	1	8	yes	complemented
878	#536	#120	1	16	yes	complemented
879	#536	C₂²×D₄	1	8	yes	—
880	#536	C₂²×D₄	1	8	yes	—
881	#536	C₂²×D₄	1	8	yes	—
882	#535	#120	1	16	yes	complemented
883	#535	#120	1	8	yes	complemented
884	#535	C₂²×D₄	1	8	yes	—
885	#535	C₂²×D₄	1	8	yes	—
886	#535	C₂²×D₄	1	8	yes	—
887	#535	C₂²×D₄	1	16	yes	—
888	#534	#120	1	32	yes	complemented
889	#534	C₂²×D₄	1	16	yes	—
890	#534	C₂²×D₄	1	16	yes	—
891	#532	#120	1	8	yes	complemented
892	#532	#120	1	8	yes	complemented
893	#532	#120	1	8	yes	complemented
894	#532	#120	1	8	yes	complemented
895	#532	#120	1	16	yes	complemented
896	#532	C₂²×D₄	1	4	yes	—
897	#532	C₂²×D₄	1	4	yes	—
898	#532	C₂²×D₄	1	4	yes	—
899	#532	C₂²×D₄	1	4	yes	—
900	#532	C₂²×D₄	1	4	yes	—
901	#532	C₂²×D₄	1	4	yes	—
902	#532	C₂²×D₄	1	4	yes	—
903	#532	C₂²×D₄	1	4	yes	—
904	#532	C₂²×D₄	1	16	yes	—
905	C₂×C₄⋊Q₈	#120	1	8	yes	complemented
906	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
907	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
911	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
912	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
913	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
914	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
915	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
916	C₂×#127	C₂²×D₄	1	4	yes	—
917	C₂×#127	C₂²×D₄	1	4	yes	—
918	C₂×#127	C₂²×D₄	1	1	yes	characteristic
919	C₂×#127	C₂²×D₄	1	2	yes	—
920	C₂×#127	C₂²×D₄	1	1	yes	characteristic
921	C₂×#127	C₂²×D₄	1	2	yes	—
922	C₂×#127	C₂²×D₄	1	2	yes	—
923	C₂×#127	C₂²×D₄	1	2	yes	—
924	C₂×#127	C₂²×D₄	1	2	yes	—
925	C₂×#127	C₂⁵	1	1	yes	characteristic
926	C₂×#127	C₂⁵	1	1	yes	characteristic
927	C₂×#127	C₂⁵	1	2	yes	—
928	C₂×#124	#120	1	8	yes	complemented
929	C₂×#124	C₂²×D₄	1	4	yes	—
930	C₂×#124	C₂²×D₄	1	4	yes	—
931	C₂×#124	C₂²×D₄	1	1	yes	characteristic
932	C₂×#124	C₂²×D₄	1	1	yes	characteristic
933	C₂×#124	C₂²×D₄	1	1	yes	characteristic
934	C₂×#124	C₂²×D₄	1	2	yes	—
935	C₂×#124	C₂²×D₄	1	1	yes	characteristic
936	C₂×#124	C₂²×D₄	1	1	yes	characteristic
937	C₂×#124	C₂²×D₄	1	2	yes	—
938	C₂×#124	C₂²×D₄	1	2	yes	—
939	C₂×#124	C₂²×D₄	1	1	yes	characteristic
940	C₂×#124	C₂²×D₄	1	2	yes	—
941	C₂×#124	C₂²×D₄	1	2	yes	—
942	C₂×#124	C₂²×D₄	1	2	yes	—
943	C₂×#124	C₂²×D₄	1	2	yes	—
944	C₂×#124	C₂²×D₄	1	2	yes	—
945	C₂×#124	C₂²×D₄	1	2	yes	—
946	C₂×#124	C₂²×D₄	1	2	yes	—
947	C₂×#124	C₂²×D₄	1	2	yes	—
948	C₂×#124	C₂⁵	1	1	yes	characteristic
949	C₂×#124	C₂⁵	1	1	yes	characteristic
950	C₂×#124	C₂⁵	1	2	yes	—
951	#525	#120	1	16	yes	complemented
952	#525	#120	1	16	yes	complemented
953	#525	#120	1	16	yes	complemented
954	#525	#120	1	16	yes	complemented
955	#525	#120	1	32	yes	complemented
956	#525	C₂²×D₄	1	8	yes	—
957	#525	C₂²×D₄	1	8	yes	—
958	#525	C₂²×D₄	1	8	yes	—
959	#525	C₂²×D₄	1	8	yes	—
960	#525	C₂²×D₄	1	8	yes	—
961	#525	C₂²×D₄	1	8	yes	—
962	#525	C₂²×D₄	1	8	yes	—
963	#525	C₂²×D₄	1	8	yes	—
964	#525	C₂²×D₄	1	16	yes	—
965	#525	C₂²×D₄	1	16	yes	—
966	C₂×#123	#120	1	16	yes	complemented
967	C₂×#123	C₂²×D₄	1	8	yes	—
968	C₂×#123	C₂²×D₄	1	8	yes	—
969	C₂×#123	C₂²×D₄	1	2	yes	—
970	C₂×#123	C₂²×D₄	1	2	yes	—
971	C₂×#123	C₂²×D₄	1	2	yes	—
972	C₂×#123	C₂²×D₄	1	4	yes	—
973	C₂×#123	C₂²×D₄	1	2	yes	—
974	C₂×#123	C₂²×D₄	1	2	yes	—
975	C₂×#123	C₂²×D₄	1	4	yes	—
976	C₂×#123	C₂²×D₄	1	4	yes	—
977	C₂×#123	C₂²×D₄	1	2	yes	—
978	C₂×#123	C₂²×D₄	1	4	yes	—
979	C₂×#123	C₂²×D₄	1	4	yes	—
980	C₂×#123	C₂²×D₄	1	4	yes	—
981	C₂×#123	C₂²×D₄	1	4	yes	—
982	C₂×#123	C₂²×D₄	1	4	yes	—
983	C₂×#123	C₂²×D₄	1	4	yes	—
984	C₂×#123	C₂²×D₄	1	4	yes	—
985	C₂×#123	C₂²×D₄	1	4	yes	—
986	C₂×#123	C₂⁵	1	2	yes	—
987	C₂×#123	C₂⁵	1	2	yes	—
988	C₂×#123	C₂⁵	1	4	yes	—
989	C₂×#120	#120	1	16	yes	complemented
990	C₂×#120	C₂²×D₄	1	8	yes	—
991	C₂×#120	C₂²×D₄	1	8	yes	—
992	C₂×#120	C₂²×D₄	1	2	yes	—
993	C₂×#120	C₂²×D₄	1	2	yes	—
994	C₂×#120	C₂²×D₄	1	2	yes	—
995	C₂×#120	C₂²×D₄	1	4	yes	—
996	C₂×#120	C₂²×D₄	1	2	yes	—
997	C₂×#120	C₂²×D₄	1	2	yes	—
998	C₂×#120	C₂²×D₄	1	4	yes	—
999	C₂×#120	C₂²×D₄	1	4	yes	—
1000	C₂×#120	C₂²×D₄	1	2	yes	—
1001	C₂×#120	C₂²×D₄	1	4	yes	—
1002	C₂×#120	C₂²×D₄	1	4	yes	—
1003	C₂×#120	C₂²×D₄	1	4	yes	—
1004	C₂×#120	C₂²×D₄	1	4	yes	—
1005	C₂×#120	C₂²×D₄	1	4	yes	—
1006	C₂×#120	C₂²×D₄	1	4	yes	—
1007	C₂×#120	C₂²×D₄	1	4	yes	—
1008	C₂×#120	C₂²×D₄	1	4	yes	—
1009	C₂×#120	C₂⁵	1	2	yes	—
1010	C₂×#120	C₂⁵	1	2	yes	—
1011	C₂×#120	C₂⁵	1	4	yes	—
1012	#518	C₂⁵	1	4	yes	—
1013	C₂×#117	#120	1	8	yes	complemented
1014	C₂×#117	#120	1	16	yes	complemented
1015	C₂×#117	#120	1	16	yes	complemented
1016	C₂×#117	C₂²×D₄	1	2	yes	—
1017	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1018	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1019	C₂×#117	C₂²×D₄	1	2	yes	—
1020	C₂×#117	C₂²×D₄	1	2	yes	—
1021	C₂×#117	C₂²×D₄	1	2	yes	—
1022	C₂×#117	C₂²×D₄	1	2	yes	—
1023	C₂×#117	C₂²×D₄	1	4	yes	—
1024	C₂×#117	C₂²×D₄	1	2	yes	—
1025	C₂×#117	C₂²×D₄	1	2	yes	—
1026	C₂×#117	C₂²×D₄	1	2	yes	—
1027	C₂×#117	C₂²×D₄	1	2	yes	—
1028	C₂×#117	C₂²×D₄	1	2	yes	—
1029	C₂×#117	C₂²×D₄	1	2	yes	—
1030	C₂×#117	C₂²×D₄	1	4	yes	—
1031	C₂×#117	C₂²×D₄	1	4	yes	—
1032	C₂×#117	C₂²×D₄	1	4	yes	—
1033	C₂×#117	C₂²×D₄	1	4	yes	—
1034	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1035	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1036	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1037	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1038	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1039	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1040	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1041	C₂²×C₄²	#120	1	8	yes	complemented
1042	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1043	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1044	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1045	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1046	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1047	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1048	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1049	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1050	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1051	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1052	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1053	C₂×#100	C₂⁵	1	4	yes	—
1054	C₂×#100	C₂⁵	1	4	yes	—
1055	C₂×#99	C₂⁵	1	8	yes	—
1056	C₂×#99	C₂⁵	1	8	yes	—
1057	C₂⁵	C₂×#120	1	1	yes	characteristic
1058	C₂⁵	C₂×#120	1	8	yes	—
1059	C₂⁵	C₂×#120	1	4	yes	—
1060	C₂⁵	C₂×#120	1	2	yes	—
1061	C₂⁵	C₂×#120	1	2	yes	—
1062	C₂⁵	C₂³×D₄	1	4	yes	—
1063	C₂⁵	C₂³×D₄	1	2	yes	—
1064	C₂⁵	C₂³×D₄	1	2	yes	—
1065	C₂⁵	C₂³×D₄	1	4	yes	—
1066	C₂⁵	C₂³×D₄	1	2	yes	—
1067	C₂×#41	B(4,𝔽₂)	1	4	yes	—
1068	C₂×#41	B(4,𝔽₂)	1	4	yes	—
1069	C₂×#41	C₂×#120	1	4	yes	—
1070	C₂×#41	C₂×#120	1	4	yes	—
1071	C₂×#41	C₂×#120	1	4	yes	—
1072	C₂×#41	C₂×#120	1	4	yes	—
1073	C₂×#41	C₂×#120	1	8	yes	—
1074	C₂×#41	C₂×#120	1	8	yes	—
1075	C₂×#41	C₂×#120	1	8	yes	—
1076	C₂×#41	C₂×#120	1	8	yes	—
1077	C₂×#41	C₂×#120	1	4	yes	—
1078	C₂×#41	C₂×#120	1	4	yes	—
1079	C₂×#41	C₂×#120	1	4	yes	—
1080	C₂×#41	C₂×#120	1	4	yes	—
1081	C₂×#41	C₂×#120	1	8	yes	—
1082	C₂×#41	C₂×#120	1	8	yes	—
1083	C₂×#41	C₂³×D₄	1	2	yes	—
1084	C₂×#41	C₂³×D₄	1	2	yes	—
1085	C₂×#41	C₂³×D₄	1	4	yes	—
1086	C₂×#41	C₂³×D₄	1	2	yes	—
1087	C₂×#41	C₂³×D₄	1	4	yes	—
1088	C₂×#41	C₂³×D₄	1	2	yes	—
1089	C₂²×Q₈	C₂×#120	1	4	yes	—
1090	C₂²×Q₈	C₂×#120	1	4	yes	—
1091	C₂²×Q₈	C₂×#120	1	8	yes	—
1092	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
1093	C₂²×Q₈	C₂×#120	1	2	yes	—
1094	C₂²×Q₈	C₂×#120	1	4	yes	—
1095	C₂²×Q₈	C₂×#120	1	2	yes	—
1096	C₂²×Q₈	C₂×#120	1	4	yes	—
1097	C₂²×Q₈	C₂×#120	1	2	yes	—
1098	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
1099	C₂²×Q₈	C₂×#120	1	4	yes	—
1100	C₂²×Q₈	C₂×#120	1	4	yes	—
1101	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1102	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1103	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1104	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1105	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1106	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1107	C₂²×D₄	C₂×#120	1	8	yes	—
1108	C₂²×D₄	C₂×#120	1	8	yes	—
1109	C₂²×D₄	C₂×#120	1	2	yes	—
1110	C₂²×D₄	C₂×#120	1	2	yes	—
1111	C₂²×D₄	C₂×#120	1	4	yes	—
1112	C₂²×D₄	C₂×#120	1	4	yes	—
1113	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1114	C₂²×D₄	C₂×#120	1	2	yes	—
1115	C₂²×D₄	C₂×#120	1	16	yes	—
1116	C₂²×D₄	C₂×#120	1	8	yes	—
1117	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1118	C₂²×D₄	C₂×#120	1	2	yes	—
1119	C₂²×D₄	C₂×#120	1	4	yes	—
1120	C₂²×D₄	C₂×#120	1	4	yes	—
1121	C₂²×D₄	C₂×#120	1	2	yes	—
1122	C₂²×D₄	C₂×#120	1	4	yes	—
1123	C₂²×D₄	C₂×#120	1	2	yes	—
1124	C₂²×D₄	C₂×#120	1	4	yes	—
1125	C₂²×D₄	C₂×#120	1	4	yes	—
1126	C₂²×D₄	C₂×#120	1	4	yes	—
1127	C₂²×D₄	C₂×#120	1	2	yes	—
1128	C₂²×D₄	C₂×#120	1	2	yes	—
1129	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1130	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1131	C₂²×D₄	C₂³×D₄	1	2	yes	—
1132	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1133	C₂²×D₄	C₂³×D₄	1	2	yes	—
1134	C₂²×D₄	C₂³×D₄	1	2	yes	—
1135	C₂²×D₄	C₂³×D₄	1	4	yes	—
1136	C₂²×D₄	C₂³×D₄	1	2	yes	—
1137	C₂²×D₄	C₂³×D₄	1	2	yes	—
1138	C₂²×D₄	C₂³×D₄	1	2	yes	—
1139	C₂²×D₄	C₂³×D₄	1	2	yes	—
1140	C₂²×D₄	C₂³×D₄	1	4	yes	—
1141	C₂²×D₄	C₂³×D₄	1	4	yes	—
1142	C₂²×D₄	C₂⁶	1	1	yes	characteristic
1143	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1144	C₂³×C₄	C₂×#120	1	8	yes	—
1145	C₂³×C₄	C₂×#120	1	8	yes	—
1146	C₂³×C₄	C₂×#120	1	2	yes	—
1147	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1148	C₂³×C₄	C₂×#120	1	2	yes	—
1149	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1150	C₂³×C₄	C₂×#120	1	2	yes	—
1151	C₂³×C₄	C₂×#120	1	4	yes	—
1152	C₂³×C₄	C₂×#120	1	4	yes	—
1153	C₂³×C₄	C₂×#120	1	2	yes	—
1154	C₂³×C₄	C₂×#120	1	8	yes	—
1155	C₂³×C₄	C₂×#120	1	8	yes	—
1156	C₂³×C₄	C₂×#120	1	8	yes	—
1157	C₂³×C₄	C₂×#120	1	8	yes	—
1158	C₂³×C₄	C₂×#120	1	8	yes	—
1159	C₂³×C₄	C₂×#120	1	16	yes	—
1160	C₂³×C₄	C₂×#120	1	4	yes	—
1161	C₂³×C₄	C₂×#120	1	2	yes	—
1162	C₂³×C₄	C₂×#120	1	4	yes	—
1163	C₂³×C₄	C₂×#120	1	2	yes	—
1164	C₂³×C₄	C₂×#120	1	4	yes	—
1165	C₂³×C₄	C₂×#120	1	4	yes	—
1166	C₂³×C₄	C₂×#120	1	4	yes	—
1167	C₂³×C₄	C₂×#120	1	4	yes	—
1168	C₂³×C₄	C₂×#120	1	2	yes	—
1169	C₂³×C₄	C₂×#120	1	4	yes	—
1170	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1171	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1172	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1173	C₂³×C₄	C₂³×D₄	1	2	yes	—
1174	C₂³×C₄	C₂³×D₄	1	2	yes	—
1175	C₂³×C₄	C₂³×D₄	1	2	yes	—
1176	C₂³×C₄	C₂³×D₄	1	2	yes	—
1177	C₂³×C₄	C₂³×D₄	1	4	yes	—
1178	C₂³×C₄	C₂³×D₄	1	2	yes	—
1179	C₂³×C₄	C₂³×D₄	1	2	yes	—
1180	C₂³×C₄	C₂³×D₄	1	4	yes	—
1181	C₄⋊Q₈	C₂×#120	1	4	yes	—
1182	C₄⋊Q₈	C₂×#120	1	4	yes	—
1183	C₄⋊Q₈	C₂×#120	1	4	yes	—
1184	C₄⋊Q₈	C₂×#120	1	4	yes	—
1185	C₄⋊Q₈	C₂×#120	1	8	yes	—
1186	C₄⋊Q₈	C₂×#120	1	8	yes	—
1187	#127	C₂×#120	1	4	yes	—
1188	#127	C₂×#120	1	4	yes	—
1189	#127	C₂×#120	1	8	yes	—
1190	#127	C₂³×D₄	1	2	yes	—
1191	#127	C₂³×D₄	1	2	yes	—
1192	#127	C₂³×D₄	1	2	yes	—
1193	#127	C₂³×D₄	1	2	yes	—
1194	#127	C₂³×D₄	1	8	yes	—
1195	#124	C₂×#120	1	4	yes	—
1196	#124	C₂×#120	1	4	yes	—
1197	#124	C₂×#120	1	4	yes	—
1198	#124	C₂×#120	1	4	yes	—
1199	#124	C₂×#120	1	4	yes	—
1200	#124	C₂×#120	1	4	yes	—
1201	#124	C₂×#120	1	8	yes	—
1202	#124	C₂×#120	1	8	yes	—
1203	#124	C₂×#120	1	8	yes	—
1204	#124	C₂³×D₄	1	2	yes	—
1205	#124	C₂³×D₄	1	2	yes	—
1206	#124	C₂³×D₄	1	2	yes	—
1207	#124	C₂³×D₄	1	2	yes	—
1208	#124	C₂³×D₄	1	8	yes	—
1209	#123	C₂×#120	1	8	yes	—
1210	#123	C₂×#120	1	8	yes	—
1211	#123	C₂×#120	1	8	yes	—
1212	#123	C₂×#120	1	8	yes	—
1213	#123	C₂×#120	1	8	yes	—
1214	#123	C₂×#120	1	8	yes	—
1215	#123	C₂×#120	1	16	yes	—
1216	#123	C₂×#120	1	16	yes	—
1217	#123	C₂×#120	1	16	yes	—
1218	#123	C₂³×D₄	1	4	yes	—
1219	#123	C₂³×D₄	1	4	yes	—
1220	#123	C₂³×D₄	1	4	yes	—
1221	#123	C₂³×D₄	1	4	yes	—
1222	#123	C₂³×D₄	1	8	yes	—
1223	#123	C₂³×D₄	1	8	yes	—
1224	#120	C₂×#120	1	8	yes	—
1225	#120	C₂×#120	1	8	yes	—
1226	#120	C₂×#120	1	8	yes	—
1227	#120	C₂×#120	1	8	yes	—
1228	#120	C₂×#120	1	8	yes	—
1229	#120	C₂×#120	1	8	yes	—
1230	#120	C₂×#120	1	16	yes	—
1231	#120	C₂×#120	1	16	yes	—
1232	#120	C₂×#120	1	16	yes	—
1233	#120	C₂³×D₄	1	4	yes	—
1234	#120	C₂³×D₄	1	4	yes	—
1235	#120	C₂³×D₄	1	4	yes	—
1236	#120	C₂³×D₄	1	4	yes	—
1237	#120	C₂³×D₄	1	8	yes	—
1238	#120	C₂³×D₄	1	8	yes	—
1239	#117	C₂×#120	1	4	yes	—
1240	#117	C₂×#120	1	4	yes	—
1241	#117	C₂×#120	1	8	yes	—
1242	#117	C₂×#120	1	8	yes	—
1243	#117	C₂×#120	1	8	yes	—
1244	#117	C₂×#120	1	8	yes	—
1245	#117	C₂×#120	1	8	yes	—
1246	#117	C₂×#120	1	16	yes	—
1247	#117	C₂×#120	1	8	yes	—
1248	#117	C₂×#120	1	8	yes	—
1249	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
1250	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
1251	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	—
1252	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1253	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1254	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1255	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1256	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1257	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1258	C₂×C₄²	C₂×#120	1	8	yes	—
1259	C₂×C₄²	C₂×#120	1	4	yes	—
1260	C₂×C₄²	C₂×#120	1	4	yes	—
1261	C₂×C₄²	C₂×#120	1	4	yes	—
1262	C₂×C₄²	C₂×#120	1	4	yes	—
1263	C₂×C₄²	C₂×#120	1	4	yes	—
1264	C₂×C₄²	C₂×#120	1	4	yes	—
1265	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1266	C₂×C₄²	C₂³×D₄	1	2	yes	—
1267	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1268	C₂×C₄²	C₂³×D₄	1	2	yes	—
1269	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1270	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1271	C₂⁴	#2846	1	4	yes	—
1272	C₂⁴	C₂²×#120	1	4	yes	—
1273	C₂⁴	C₂²×#120	1	4	yes	—
1274	C₂⁴	C₂²×#120	1	2	yes	—
1275	C₂⁴	C₂²×#120	1	1	yes	characteristic
1276	C₂⁴	C₂²×#120	1	1	yes	characteristic
1277	C₂⁴	C₂²×#120	1	1	yes	characteristic
1278	C₂⁴	C₂²×#120	1	4	yes	—
1279	C₂⁴	C₂²×#120	1	4	yes	—
1280	C₂⁴	C₂²×#120	1	8	yes	—
1281	C₂⁴	C₂²×#120	1	4	yes	—
1282	C₂⁴	C₂²×#120	1	2	yes	—
1283	C₂⁴	C₂²×#120	1	2	yes	—
1284	C₂⁴	C₂⁴×D₄	1	2	yes	—
1285	C₂×Q₈	#2846	1	8	yes	—
1286	C₂×Q₈	C₂×B(4,𝔽₂)	1	4	yes	—
1287	C₂×Q₈	C₂²×#120	1	2	yes	—
1288	C₂×Q₈	C₂²×#120	1	2	yes	—
1289	C₂×Q₈	C₂²×#120	1	2	yes	—
1290	C₂×Q₈	C₂²×#120	1	2	yes	—
1291	C₂×Q₈	C₂²×#120	1	2	yes	—
1292	C₂×Q₈	C₂²×#120	1	2	yes	—
1293	C₂×Q₈	C₂²×#120	1	4	yes	—
1294	C₂×D₄	#2846	1	8	yes	—
1295	C₂×D₄	#2846	1	8	yes	—
1296	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1297	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
1298	C₂×D₄	C₂²×#120	1	4	yes	—
1299	C₂×D₄	C₂²×#120	1	4	yes	—
1300	C₂×D₄	C₂²×#120	1	4	yes	—
1301	C₂×D₄	C₂²×#120	1	4	yes	—
1302	C₂×D₄	C₂²×#120	1	4	yes	—
1303	C₂×D₄	C₂²×#120	1	4	yes	—
1304	C₂×D₄	C₂²×#120	1	2	yes	—
1305	C₂×D₄	C₂²×#120	1	2	yes	—
1306	C₂×D₄	C₂²×#120	1	4	yes	—
1307	C₂×D₄	C₂²×#120	1	2	yes	—
1308	C₂×D₄	C₂²×#120	1	2	yes	—
1309	C₂×D₄	C₂⁴×D₄	1	1	yes	characteristic
1310	C₂×D₄	C₂⁴×D₄	1	2	yes	—
1311	C₂×D₄	C₂⁴×D₄	1	1	yes	characteristic
1312	C₂²×C₄	#2846	1	4	yes	—
1313	C₂²×C₄	#2846	1	8	yes	—
1314	C₂²×C₄	#2846	1	8	yes	—
1315	C₂²×C₄	#2846	1	8	yes	—
1316	C₂²×C₄	#2846	1	4	yes	—
1317	C₂²×C₄	#2846	1	4	yes	—
1318	C₂²×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
1319	C₂²×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
1320	C₂²×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
1321	C₂²×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
1322	C₂²×C₄	#3026	1	4	yes	—
1323	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1324	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1325	C₂²×C₄	C₂²×#120	1	4	yes	—
1326	C₂²×C₄	C₂²×#120	1	4	yes	—
1327	C₂²×C₄	C₂²×#120	1	4	yes	—
1328	C₂²×C₄	C₂²×#120	1	4	yes	—
1329	C₂²×C₄	C₂²×#120	1	2	yes	—
1330	C₂²×C₄	C₂²×#120	1	2	yes	—
1331	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1332	C₂²×C₄	C₂²×#120	1	2	yes	—
1333	C₂²×C₄	C₂²×#120	1	2	yes	—
1334	C₂²×C₄	C₂²×#120	1	2	yes	—
1335	C₂²×C₄	C₂²×#120	1	2	yes	—
1336	C₂²×C₄	C₂²×#120	1	2	yes	—
1337	C₂²×C₄	C₂²×#120	1	2	yes	—
1338	C₂²×C₄	C₂²×#120	1	2	yes	—
1339	C₂²×C₄	C₂²×#120	1	4	yes	—
1340	C₂²×C₄	C₂²×#120	1	4	yes	—
1341	C₂²×C₄	C₂²×#120	1	8	yes	—
1342	C₂²×C₄	C₂²×#120	1	4	yes	—
1343	C₂²×C₄	C₂²×#120	1	2	yes	—
1344	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1345	C₂²⋊C₄	C₂²×#120	1	4	yes	—
1346	C₂²⋊C₄	C₂²×#120	1	4	yes	—
1347	C₂²⋊C₄	C₂²×#120	1	8	yes	—
1348	C₂²⋊C₄	C₂²×#120	1	4	yes	—
1349	C₂²⋊C₄	C₂²×#120	1	4	yes	—
1350	C₂²⋊C₄	C₂²×#120	1	8	yes	—
1351	C₄²	C₂²×#120	1	2	yes	—
1352	C₄²	C₂²×#120	1	2	yes	—
1353	C₄²	C₂²×#120	1	2	yes	—
1354	C₄²	C₂²×#120	1	2	yes	—
1355	C₄²	C₂²×#120	1	4	yes	—
1356	C₄²	C₂²×#120	1	4	yes	—
1357	C₂³	C₂×#2846	1	2	yes	—
1358	C₂³	C₂×#2846	1	4	yes	—
1359	C₂³	C₂×#2846	1	2	yes	—
1360	C₂³	C₂×#2846	1	2	yes	—
1361	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1362	C₂³	C₂²×B(4,𝔽₂)	1	2	yes	—
1363	C₂³	C₂×#3026	1	2	yes	—
1364	C₂³	C₂³×#120	1	1	yes	characteristic
1365	C₂³	C₂³×#120	1	2	yes	—
1366	C₂³	C₂³×#120	1	2	yes	—
1367	C₂×C₄	#32898	1	8	yes	—
1368	C₂×C₄	#32898	1	8	yes	—
1369	C₂×C₄	C₂×#2846	1	2	yes	—
1370	C₂×C₄	C₂×#2846	1	2	yes	—
1371	C₂×C₄	C₂×#2846	1	4	yes	—
1372	C₂×C₄	C₂×#2846	1	4	yes	—
1373	C₂×C₄	C₂×#2846	1	2	yes	—
1374	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1375	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1376	C₂×C₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1377	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1378	C₂×C₄	C₂×#3026	1	2	yes	—
1379	C₂×C₄	C₂×#3026	1	2	yes	—
1380	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1381	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1382	C₂²	C₂×#32898	1	4	yes	—
1383	C₂²	C₂²×#2846	1	1	yes	characteristic
1384	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1385	C₂²	C₂²×#3026	1	1	yes	characteristic
1386	C₄	C₂×#32898	1	2	yes	—
1387	C₄	C₂×#32898	1	4	yes	—
1388	C₄	C₂×#32898	1	2	yes	—
1389	C₂	C₂²×#32898	1	1	yes	characteristic
1390	C₂	#72237528	1	2	yes	—

	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. #72313034	C₂	semidirect
3. #72313029	C₂	semidirect
4. #72312997	C₂	semidirect
5. #72312859	C₂	semidirect
6. #72312754	C₂	semidirect
7. #72312727	C₂	semidirect
8. #72312656	C₂	semidirect
9. #72312424	C₂	semidirect
10. #72312337	C₂	semidirect
11. #72312261	C₂	semidirect
12. C₂×#7622874	C₂	semidirect
13. #72303216	C₂	semidirect
14. #72302959	C₂	semidirect
15. #72302921	C₂	semidirect
16. #72281572	C₂	semidirect
17. C₂×#10586342	C₂	semidirect
18. #72256279	C₂	semidirect
19. #72251988	C₂	semidirect
20. #72251941	C₂	semidirect
21. C₂²×#33546	C₂	semidirect
22. C₂×#7622868	C₂	semidirect
23. #72233522	C₂	semidirect
24. C₂×#63022	C₂²	semidirect
25. C₂×#63021	C₂²	semidirect
26. C₂×#63021	C₂²	semidirect
27. C₂×#63020	C₂²	semidirect
28. C₂×#63017	C₂²	semidirect
29. C₂×#63017	C₂²	semidirect
30. C₂×#63016	C₂²	semidirect
31. C₂×#63011	C₂²	semidirect
32. C₂×#63011	C₂²	semidirect
34. C₂×#62759	C₂²	semidirect
36. C₂×#62729	C₂²	semidirect
37. #10586020	C₂²	semidirect
41. C₂²×#3481	C₂²	semidirect
42. C₂×#60398	C₂²	semidirect
43. C₂²×#3025	C₂²	semidirect
44. C₂×#60387	C₂²	semidirect
45. C₂²×#3018	C₂²	semidirect
46. C₂×#33561	C₂²	semidirect
47. C₂×#33560	C₂²	semidirect
48. C₂×#33559	C₂²	semidirect
49. C₂×#33558	C₂²	semidirect
50. C₂×#33557	C₂²	semidirect
51. C₂×#33556	C₂²	semidirect
52. C₂×#33555	C₂²	semidirect
53. C₂×#33554	C₂²	semidirect
54. C₂×#33553	C₂²	semidirect
55. C₂×#33552	C₂²	semidirect
56. C₂×#33551	C₂²	semidirect
57. C₂×#33550	C₂²	semidirect
58. C₂×#33550	C₂²	semidirect
59. C₂×#33546	C₂²	semidirect
60. C₂×#33546	C₂²	semidirect
61. C₂×#33546	C₂²	semidirect
62. C₂×#33546	C₂²	semidirect
63. C₂×#33546	C₂²	semidirect
64. C₂×#33546	C₂²	semidirect
65. C₂×#33546	C₂²	semidirect
66. C₂×#33546	C₂²	semidirect
67. C₂²×#2198	C₂²	semidirect
68. C₂²×#2197	C₂²	semidirect
69. C₂²×#2196	C₂²	semidirect
70. C₂×#33358	C₂²	semidirect
71. C₂²×#2126	C₂²	semidirect
72. C₂²×#2126	C₂²	semidirect
73. C₂×#33347	C₂²	semidirect
74. C₂×#33347	C₂²	semidirect
75. C₂²×#2120	C₂²	semidirect
76. C₂²×#2120	C₂²	semidirect
77. #6437637	C₂²	semidirect
78. #6437636	C₂²	semidirect
79. #6437635	C₂²	semidirect
80. #6437634	C₂²	semidirect
81. #6437633	C₂²	semidirect
82. #6437632	C₂²	semidirect
83. #6437620	C₂²	semidirect
84. #6437616	C₂²	semidirect
85. #6437457	C₂²	semidirect
86. #6437456	C₂²	semidirect
87. #6437455	C₂²	semidirect
88. #6437454	C₂²	semidirect
89. #6437453	C₂²	semidirect
90. #6437452	C₂²	semidirect
91. #6437444	C₂²	semidirect
92. #6437437	C₂²	semidirect
93. #6371465	C₂²	semidirect
94. C₂×#20959	C₂²	semidirect
95. #6371454	C₂²	semidirect
96. C₂×#20952	C₂²	semidirect
97. #6370703	C₂²	semidirect
98. #6370692	C₂²	semidirect
99. #511789	C₂²	semidirect
100. #511788	C₂²	semidirect
101. #511787	C₂²	semidirect
102. #511786	C₂²	semidirect
103. #511785	C₂²	semidirect
104. #511785	C₂²	semidirect
105. #511784	C₂²	semidirect
106. #511783	C₂²	semidirect
107. #511782	C₂²	semidirect
108. #511781	C₂²	semidirect
109. #511780	C₂²	semidirect
110. #511780	C₂²	semidirect
111. #511779	C₂²	semidirect
112. #511779	C₂²	semidirect
113. #511774	C₂²	semidirect
114. #511774	C₂²	semidirect
115. #511774	C₂²	semidirect
116. #511773	C₂²	semidirect
117. #511772	C₂²	semidirect
118. #511771	C₂²	semidirect
119. #493633	C₂²	semidirect
120. #493632	C₂²	semidirect
121. #493631	C₂²	semidirect
122. #493630	C₂²	semidirect
123. #493629	C₂²	semidirect
124. #493587	C₂²	semidirect
125. #493586	C₂²	semidirect
126. #493585	C₂²	semidirect
127. #493584	C₂²	semidirect
128. #493583	C₂²	semidirect
129. #493582	C₂²	semidirect
130. #493581	C₂²	semidirect
131. #493581	C₂²	semidirect
132. #493577	C₂²	semidirect
133. #493577	C₂²	semidirect
134. #493577	C₂²	semidirect
135. #493577	C₂²	semidirect
136. #493577	C₂²	semidirect
137. #493577	C₂²	semidirect
138. #493577	C₂²	semidirect
139. #493577	C₂²	semidirect
140. C₂×#12760	C₂²	semidirect
141. C₂×#12761	C₂²	semidirect
142. C₂×#12759	C₂²	semidirect
143. #493435	C₂²	semidirect
144. #493434	C₂²	semidirect
145. #493433	C₂²	semidirect
146. #493432	C₂²	semidirect
147. #493431	C₂²	semidirect
148. #493430	C₂²	semidirect
149. #493429	C₂²	semidirect
150. #493428	C₂²	semidirect
151. #493427	C₂²	semidirect
152. #493426	C₂²	semidirect
153. #493425	C₂²	semidirect
154. #493424	C₂²	semidirect
155. #493369	C₂²	semidirect
156. #493365	C₂²	semidirect
157. #493356	C₂²	semidirect
158. #493352	C₂²	semidirect
159. C₂²×#585	D₄	semidirect
161. C₂²×#585	C₂³	semidirect
162. C₂⁴×#41	D₄	semidirect
163. #62859	C₂³	semidirect
164. #62852	C₂³	semidirect
165. #62842	C₂³	semidirect
166. #62811	C₂³	semidirect
167. C₂×#3500	D₄	semidirect
168. C₂×#3500	D₄	semidirect
169. C₂×#3500	D₄	semidirect
173. C₂×#3499	D₄	semidirect
174. C₂×#3499	D₄	semidirect
176. C₂×#3498	D₄	semidirect
179. C₂×#3487	D₄	semidirect
181. C₂×#3486	D₄	semidirect
183. C₂×#3485	D₄	semidirect
184. C₂×#3485	D₄	semidirect
187. C₂×#3484	D₄	semidirect
188. C₂×#3484	D₄	semidirect
191. #62759	D₄	semidirect
193. C₂×#3550	C₂³	semidirect
195. C₂×#3549	C₂³	semidirect
197. C₂×#3545	C₂³	semidirect
199. C₂×#3543	C₂³	semidirect
200. C₂×#3543	C₂³	semidirect
202. C₂×#3551	C₂³	semidirect
203. #62729	D₄	semidirect
206. C₂×#3540	C₂³	semidirect
207. C₂×#3540	C₂³	semidirect
209. C₂×#3533	C₂³	semidirect
210. C₂×#3533	C₂³	semidirect
212. C₂×#3538	C₂³	semidirect
214. C₂×#3537	C₂³	semidirect
216. C₂×#3532	C₂³	semidirect
217. C₂×#3532	C₂³	semidirect
218. C₂×#3481	D₄	semidirect
227. C₂×#3481	C₂³	semidirect
228. C₂×#3481	C₂³	semidirect
229. C₂×#3481	C₂³	semidirect
231. C₂²×#559	C₂³	semidirect
233. C₂²×#551	C₂³	semidirect
235. C₂²×D₄²	C₂³	semidirect
238. C₂×#3449	D₄	semidirect
239. C₂×#3449	D₄	semidirect
240. C₂×#3449	D₄	semidirect
241. C₂×#3449	D₄	semidirect
246. C₂²×#532	D₄	semidirect
247. C₂²×#532	D₄	semidirect
250. C₂²×#525	D₄	semidirect
251. C₂²×#525	D₄	semidirect
254. C₂×#3428	D₄	semidirect
255. C₂×#3428	C₂³	semidirect
256. C₂²×C₄×#41	D₄	semidirect
257. C₂×#3028	C₂³	semidirect
258. C₂×#3027	C₂³	semidirect
259. C₂×#3026	C₂³	semidirect
262. C₂×#3025	C₂³	semidirect
263. C₂×#3025	C₂³	semidirect
264. C₂×#3025	C₂³	semidirect
265. C₂²×#458	C₂³	semidirect
267. C₂×#3022	C₂³	semidirect
268. C₂×#3021	C₂³	semidirect
269. C₂×#3019	C₂³	semidirect
272. C₂×#3018	C₂³	semidirect
273. C₂×#3018	C₂³	semidirect
274. C₂×#3018	C₂³	semidirect
275. C₂²×#455	C₂³	semidirect
277. C₂²×#413	C₂³	semidirect
278. C₂²×#413	C₂³	semidirect
279. C₂²×#410	C₂³	semidirect
280. C₂²×#410	C₂³	semidirect
281. C₂×#2201	C₂³	semidirect
282. C₂×#2201	C₂³	semidirect
283. C₂×#2200	C₂³	semidirect
284. C₂×#2200	C₂³	semidirect
285. C₂×#2200	C₂³	semidirect
286. C₂×#2199	C₂³	semidirect
287. C₂×#2199	C₂³	semidirect
291. C₂×#2198	C₂³	semidirect
292. C₂×#2198	C₂³	semidirect
296. C₂×#2197	C₂³	semidirect
297. C₂×#2197	C₂³	semidirect
298. C₂×#2197	C₂³	semidirect
299. C₂×#2197	C₂³	semidirect
305. C₂×#2129	C₂³	semidirect
306. C₂×#2128	C₂³	semidirect
307. C₂×#2127	C₂³	semidirect
312. C₂×#2126	C₂³	semidirect
313. C₂×#2126	C₂³	semidirect
314. C₂×#2126	C₂³	semidirect
315. C₂×#2126	C₂³	semidirect
316. C₂×#2126	C₂³	semidirect
317. C₂²×#354	C₂³	semidirect
318. C₂²×#354	C₂³	semidirect
321. C₂×#2123	C₂³	semidirect
322. C₂×#2123	C₂³	semidirect
323. C₂×#2122	C₂³	semidirect
324. C₂×#2122	C₂³	semidirect
325. C₂×#2121	C₂³	semidirect
326. C₂×#2121	C₂³	semidirect
331. C₂×#2120	C₂³	semidirect
332. C₂×#2120	C₂³	semidirect
333. C₂×#2120	C₂³	semidirect
334. C₂×#2120	C₂³	semidirect
335. C₂×#2120	C₂³	semidirect
336. C₂×#2120	C₂³	semidirect
337. C₂²×#352	C₂³	semidirect
338. C₂²×#352	C₂³	semidirect
341. #23914	C₂³	semidirect
342. #23913	C₂³	semidirect
343. #23912	C₂³	semidirect
344. #23912	C₂³	semidirect
346. #23908	C₂³	semidirect
347. #23907	C₂³	semidirect
349. #23905	C₂³	semidirect
350. #23904	C₂³	semidirect
351. #23903	C₂³	semidirect
352. #23903	C₂³	semidirect
354. #23902	C₂³	semidirect
355. #23901	C₂³	semidirect
357. #20962	C₂³	semidirect
358. #20961	C₂³	semidirect
359. #20960	C₂³	semidirect
362. #20959	C₂³	semidirect
363. #20959	C₂³	semidirect
364. #20959	C₂³	semidirect
365. C₂×#1890	C₂³	semidirect
367. #20956	C₂³	semidirect
368. #20955	C₂³	semidirect
369. #20953	C₂³	semidirect
372. #20952	C₂³	semidirect
373. #20952	C₂³	semidirect
374. #20952	C₂³	semidirect
376. C₂×#1885	C₂³	semidirect
377. #20593	C₂³	semidirect
378. #20592	C₂³	semidirect
379. #20592	C₂³	semidirect
380. #20591	C₂³	semidirect
381. #20587	C₂³	semidirect
382. #20586	C₂³	semidirect
383. #20585	C₂³	semidirect
384. #20584	C₂³	semidirect
385. #12764	C₂³	semidirect
386. #12764	C₂³	semidirect
387. #12763	C₂³	semidirect
388. #12763	C₂³	semidirect
389. #12762	C₂³	semidirect
390. #12762	C₂³	semidirect
391. #12762	C₂³	semidirect
392. #12761	C₂³	semidirect
393. #12761	C₂³	semidirect
394. #12761	C₂³	semidirect
395. #12761	C₂³	semidirect
396. #12761	C₂³	semidirect
397. #12761	C₂³	semidirect
398. #12761	C₂³	semidirect
399. #12760	C₂³	semidirect
400. #12760	C₂³	semidirect
401. #12760	C₂³	semidirect
402. #12760	C₂³	semidirect
403. #12760	C₂³	semidirect
404. #12759	C₂³	semidirect
405. #12759	C₂³	semidirect
406. #12759	C₂³	semidirect
407. #12759	C₂³	semidirect
408. #12759	C₂³	semidirect
409. #12698	C₂³	semidirect
410. #12697	C₂³	semidirect
411. #12696	C₂³	semidirect
412. #12696	C₂³	semidirect
413. #12695	C₂³	semidirect
414. #12695	C₂³	semidirect
415. #12694	C₂³	semidirect
416. #12693	C₂³	semidirect
417. #12692	C₂³	semidirect
418. #12691	C₂³	semidirect
419. #12690	C₂³	semidirect
420. #12690	C₂³	semidirect
421. #12689	C₂³	semidirect
422. #12689	C₂³	semidirect
423. #12688	C₂³	semidirect
424. #12687	C₂³	semidirect
431. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
432. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
438. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
439. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
453. C₂³×#41	C₂×D₄	semidirect
454. C₂³×#41	C₂×D₄	semidirect
455. C₂³×#41	C₂×D₄	semidirect
456. C₂³×#41	C₂×D₄	semidirect
457. C₂³×#41	C₂×D₄	semidirect
460. C₂⁴×Q₈	C₂×D₄	semidirect
462. C₂⁴×D₄	C₂×D₄	semidirect
464. C₂⁵×C₄	C₂×D₄	semidirect
465. #3551	C₂×D₄	semidirect
466. #3550	C₂×D₄	semidirect
467. #3549	C₂×D₄	semidirect
468. #3545	C₂×D₄	semidirect
469. #3543	C₂×D₄	semidirect
470. #3540	C₂×D₄	semidirect
471. #3540	C₂×D₄	semidirect
472. #3538	C₂×D₄	semidirect
473. #3537	C₂×D₄	semidirect
474. #3533	C₂×D₄	semidirect
475. #3532	C₂×D₄	semidirect
476. #3529	C₂×D₄	semidirect
477. #3529	C₂×D₄	semidirect
487. #3481	C₂×D₄	semidirect
488. #3481	C₂×D₄	semidirect
489. #3481	C₂×D₄	semidirect
490. #3481	C₂×D₄	semidirect
491. #3481	C₂×D₄	semidirect
492. #3481	C₂×D₄	semidirect
493. #3481	C₂×D₄	semidirect
494. #3481	C₂×D₄	semidirect
495. C₂×#559	C₂×D₄	semidirect
501. C₂×#551	C₂×D₄	semidirect
509. C₂×D₄²	C₂×D₄	semidirect
524. C₂×#536	C₂×D₄	semidirect
525. C₂×#536	C₂×D₄	semidirect
526. C₂×#536	C₂×D₄	semidirect
527. C₂×#536	C₂×D₄	semidirect
528. C₂×#536	C₂×D₄	semidirect
529. C₂×#536	C₂×D₄	semidirect
530. C₂×#536	C₂×D₄	semidirect
531. C₂×#536	C₂×D₄	semidirect
532. C₂×#536	C₂×D₄	semidirect
533. C₂×#536	C₂×D₄	semidirect
534. C₂×#536	C₂×D₄	semidirect
535. C₂×#536	C₂×D₄	semidirect
547. C₂×#535	C₂×D₄	semidirect
548. C₂×#535	C₂×D₄	semidirect
549. C₂×#535	C₂×D₄	semidirect
550. C₂×#535	C₂×D₄	semidirect
551. C₂×#535	C₂×D₄	semidirect
552. C₂×#535	C₂×D₄	semidirect
553. C₂×#535	C₂×D₄	semidirect
554. C₂×#535	C₂×D₄	semidirect
567. C₂×#534	C₂×D₄	semidirect
568. C₂×#534	C₂×D₄	semidirect
569. C₂×#534	C₂×D₄	semidirect
570. C₂×#534	C₂×D₄	semidirect
585. C₂×#532	C₂×D₄	semidirect
586. C₂×#532	C₂×D₄	semidirect
587. C₂×#532	C₂×D₄	semidirect
588. C₂×#532	C₂×D₄	semidirect
589. C₂×#532	C₂×D₄	semidirect
590. C₂×#532	C₂×D₄	semidirect
591. C₂×#532	C₂×D₄	semidirect
592. C₂×#532	C₂×D₄	semidirect
601. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
602. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
603. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
605. C₂²×#127	C₂×D₄	semidirect
610. C₂²×#124	C₂×D₄	semidirect
611. C₂²×#124	C₂×D₄	semidirect
612. C₂²×#124	C₂×D₄	semidirect
613. C₂²×#124	C₂×D₄	semidirect
625. C₂×#525	C₂×D₄	semidirect
626. C₂×#525	C₂×D₄	semidirect
627. C₂×#525	C₂×D₄	semidirect
628. C₂×#525	C₂×D₄	semidirect
629. C₂×#525	C₂×D₄	semidirect
630. C₂×#525	C₂×D₄	semidirect
631. C₂×#525	C₂×D₄	semidirect
632. C₂×#525	C₂×D₄	semidirect
633. C₂×#525	C₂×D₄	semidirect
634. C₂×#525	C₂×D₄	semidirect
635. C₂×#525	C₂×D₄	semidirect
636. C₂×#525	C₂×D₄	semidirect
647. C₂²×#123	C₂×D₄	semidirect
648. C₂²×#123	C₂×D₄	semidirect
654. C₂²×#120	C₂×D₄	semidirect
655. C₂²×#120	C₂×D₄	semidirect
660. C₂×#519	C₂×D₄	semidirect
661. C₂×#519	C₂×D₄	semidirect
664. C₂×#518	C₂×D₄	semidirect
665. C₂×#518	C₂×D₄	semidirect
669. C₂×C₄×#41	C₂×D₄	semidirect
670. C₂×C₄×#41	C₂×D₄	semidirect
671. C₂×C₄×#41	C₂×D₄	semidirect
672. C₂×C₄×#41	C₂×D₄	semidirect
676. C₂²×#117	C₂×D₄	semidirect
677. C₂²×#117	C₂×D₄	semidirect
678. C₂²×#117	C₂×D₄	semidirect
680. C₂³×C₄²	C₂×D₄	semidirect
759. C₂²×#41	#120	semidirect
760. C₂²×#41	#120	semidirect
761. C₂²×#41	#120	semidirect
838. C₂⁴×C₄	#120	semidirect
876. #536	#120	semidirect
877. #536	#120	semidirect
878. #536	#120	semidirect
882. #535	#120	semidirect
883. #535	#120	semidirect
888. #534	#120	semidirect
891. #532	#120	semidirect
892. #532	#120	semidirect
893. #532	#120	semidirect
894. #532	#120	semidirect
895. #532	#120	semidirect
905. C₂×C₄⋊Q₈	#120	semidirect
928. C₂×#124	#120	semidirect
951. #525	#120	semidirect
952. #525	#120	semidirect
953. #525	#120	semidirect
954. #525	#120	semidirect
955. #525	#120	semidirect
966. C₂×#123	#120	semidirect
989. C₂×#120	#120	semidirect
1013. C₂×#117	#120	semidirect
1014. C₂×#117	#120	semidirect
1015. C₂×#117	#120	semidirect
1041. C₂²×C₄²	#120	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
#72313034	2
#72313029	2
#72312997	2
#72312859	2
#72312754	2
#72312727	2
#72312656	2
#72312424	2
#72312337	2
#72312261	2
C₂×#7622874	2
#72303216	2
#72302959	2
#72302921	2
#72281572	2
C₂×#10586342	2
#72256279	2
#72251988	2
#72251941	2
C₂²×#33546	2
C₂×#7622868	2
#72233522	2