Subgroups — #72305072

Order 2048.

At least 6768 conjugacy classes of subgroups; only the 5488 normal subgroups are shown.

The subgroup lattice has 1102 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72305070	C₂	1	2	yes	maximal, complemented
2	#72305069	C₂	1	2	yes	maximal, complemented
3	#72305067	C₂	1	2	yes	maximal, complemented
4	#72305065	C₂	1	2	yes	maximal, complemented
5	#72305063	C₂	1	2	yes	maximal, complemented
6	#72305046	C₂	1	2	yes	maximal, complemented
7	#72305037	C₂	1	2	yes	maximal, complemented
8	#72305006	C₂	1	2	yes	maximal, complemented
9	#72304982	C₂	1	2	yes	maximal, complemented
10	#72304946	C₂	1	4	yes	maximal, complemented
11	#72304945	C₂	1	4	yes	maximal, complemented
12	#72304941	C₂	1	1	yes	maximal, characteristic, complemented
13	#72304939	C₂	1	8	yes	maximal, complemented
14	#72304926	C₂	1	2	yes	maximal, complemented
15	#72304902	C₂	1	1	yes	maximal, characteristic, complemented
16	#72304892	C₂	1	2	yes	maximal, complemented
17	#72304891	C₂	1	8	yes	maximal, complemented
18	C₂×#6436538	C₂	1	2	yes	maximal, complemented
19	#72302955	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#34681	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂³×#3109	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#6453737	C₂	1	1	yes	maximal, characteristic, complemented
23	#72264114	C₂	1	1	yes	maximal, characteristic, complemented
24	#72237135	C₂	1	8	yes	maximal, complemented
25	C₂³×#532	C₂²	1	1	yes	characteristic
26	C₂³×#532	C₂²	1	1	yes	characteristic, complemented
27	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
28	C₂²×#3109	C₂²	1	2	yes	—
29	C₂²×#3109	C₂²	1	2	yes	—
30	C₂²×#3109	C₂²	1	2	yes	—
31	C₂²×#3109	C₂²	1	2	yes	—
32	C₂²×#3109	C₂²	1	4	yes	complemented
33	C₂²×#3109	C₂²	1	4	yes	complemented
34	C₂²×#3109	C₂²	1	2	yes	complemented
35	C₂³×#481	C₂²	1	2	yes	—
36	C₂³×#476	C₂²	1	2	yes	complemented
37	C₂³×#459	C₂²	1	2	yes	complemented
38	C₂³×#447	C₂²	1	2	yes	—
39	C₂³×#442	C₂²	1	4	yes	complemented
40	C₂³×#432	C₂²	1	1	yes	characteristic
41	C₂×#36624	C₂²	1	2	yes	complemented
42	C₂×#34681	C₂²	1	4	yes	—
43	C₂×#34681	C₂²	1	4	yes	—
44	C₂×#34681	C₂²	1	4	yes	complemented
45	C₂×#34681	C₂²	1	4	yes	complemented
46	C₂²×#2452	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#2445	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#2428	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#2422	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#2440	C₂²	1	1	yes	characteristic
51	C₂²×#2433	C₂²	1	1	yes	characteristic
52	C₂²×#2416	C₂²	1	1	yes	characteristic
53	C₂²×#2408	C₂²	1	1	yes	characteristic
54	C₂²×C₄×#127	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₄×#121	C₂²	1	1	yes	characteristic
56	C₂²×C₄×#121	C₂²	1	1	yes	characteristic, complemented
57	C₂²×#2293	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₄²×D₄	C₂²	1	1	yes	characteristic
59	C₂×#24061	C₂²	1	2	yes	complemented
60	C₂×#23930	C₂²	1	2	yes	complemented
61	C₂×#24152	C₂²	1	4	yes	complemented
62	C₂×#24299	C₂²	1	2	yes	complemented
63	C₂×#24208	C₂²	1	2	yes	complemented
64	C₂×#24005	C₂²	1	2	yes	—
65	C₂×#23918	C₂²	1	2	yes	—
66	C₂×#29690	C₂²	1	8	yes	complemented
67	C₂×#29660	C₂²	1	8	yes	complemented
68	C₂×#29639	C₂²	1	4	yes	complemented
69	C₂×#29622	C₂²	1	4	yes	complemented
70	C₂×#29594	C₂²	1	4	yes	complemented
71	C₂×#29594	C₂²	1	4	yes	complemented
72	C₂×#23573	C₂²	1	4	yes	complemented
73	C₂×#23573	C₂²	1	16	yes	complemented
74	C₂×#21452	C₂²	1	4	yes	complemented
75	C₂×#21395	C₂²	1	2	yes	complemented
76	C₂×#20738	C₂²	1	2	yes	complemented
77	C₂×#20738	C₂²	1	2	yes	complemented
78	C₂×#20738	C₂²	1	2	yes	complemented
79	C₂×#20715	C₂²	1	1	yes	characteristic
80	C₂×#20715	C₂²	1	2	yes	complemented
81	#616154	C₂²	1	2	yes	complemented
82	#616153	C₂²	1	2	yes	complemented
83	#616152	C₂²	1	4	yes	complemented
84	#615501	C₂²	1	2	yes	—
85	#614416	C₂²	1	2	yes	complemented
86	#613956	C₂²	1	2	yes	complemented
87	#612431	C₂²	1	2	yes	—
88	#608360	C₂²	1	4	yes	complemented
89	#607620	C₂²	1	2	yes	complemented
90	#607565	C₂²	1	1	yes	characteristic
91	C₄×#2408	C₂²	1	4	yes	complemented
92	#454548	C₂²	1	8	yes	complemented
93	#454501	C₂²	1	8	yes	complemented
94	#454473	C₂²	1	8	yes	complemented
95	#454408	C₂²	1	8	yes	complemented
96	#454326	C₂²	1	16	yes	complemented
97	#454278	C₂²	1	8	yes	complemented
98	#454235	C₂²	1	8	yes	complemented
99	#454203	C₂²	1	16	yes	complemented
100	#454157	C₂²	1	8	yes	complemented
101	#454114	C₂²	1	8	yes	complemented
102	#454067	C₂²	1	16	yes	complemented
103	#454013	C₂²	1	16	yes	complemented
104	#414626	C₂²	1	8	yes	complemented
105	#414600	C₂²	1	8	yes	complemented
106	#411630	C₂²	1	8	yes	complemented
107	#411590	C₂²	1	8	yes	complemented
108	#410011	C₂²	1	4	yes	complemented
109	#409942	C₂²	1	4	yes	complemented
110	#405243	C₂²	1	4	yes	complemented
111	#405243	C₂²	1	4	yes	complemented
112	#405169	C₂²	1	4	yes	complemented
113	#405117	C₂²	1	4	yes	complemented
114	#395348	C₂²	1	16	yes	complemented
115	#395208	C₂²	1	16	yes	complemented
116	#395044	C₂²	1	16	yes	complemented
117	#394925	C₂²	1	16	yes	complemented
118	#394861	C₂²	1	8	yes	complemented
119	#394763	C₂²	1	8	yes	complemented
120	#394564	C₂²	1	8	yes	complemented
121	#394521	C₂²	1	8	yes	complemented
122	#394425	C₂²	1	8	yes	complemented
123	#394213	C₂²	1	8	yes	complemented
124	#394002	C₂²	1	8	yes	complemented
125	#393946	C₂²	1	4	yes	complemented
126	#393940	C₂²	1	8	yes	complemented
127	#393881	C₂²	1	4	yes	complemented
128	#392268	C₂²	1	2	yes	complemented
129	#392268	C₂²	1	2	yes	complemented
130	#392217	C₂²	1	2	yes	—
131	#392157	C₂²	1	4	yes	complemented
132	#392157	C₂²	1	4	yes	complemented
133	#392118	C₂²	1	2	yes	—
134	#380074	C₂²	1	8	yes	complemented
135	#379993	C₂²	1	8	yes	complemented
136	#379904	C₂²	1	4	yes	complemented
137	#379904	C₂²	1	4	yes	complemented
138	#379791	C₂²	1	4	yes	complemented
139	#379791	C₂²	1	4	yes	complemented
140	#360168	C₂²	1	4	yes	complemented
141	#360084	C₂²	1	4	yes	complemented
142	#360079	C₂²	1	4	yes	complemented
143	#359992	C₂²	1	4	yes	complemented
144	#359985	C₂²	1	2	yes	complemented
145	#359909	C₂²	1	2	yes	complemented
146	#359879	C₂²	1	2	yes	—
147	#359793	C₂²	1	2	yes	—
148	#359775	C₂²	1	2	yes	complemented
149	#359691	C₂²	1	2	yes	complemented
150	#359519	C₂²	1	2	yes	—
151	#359422	C₂²	1	2	yes	—
152	#359042	C₂²	1	16	yes	complemented
153	#359004	C₂²	1	16	yes	complemented
154	#358196	C₂²	1	16	yes	complemented
155	#358171	C₂²	1	4	yes	complemented
156	#358115	C₂²	1	4	yes	complemented
157	#354808	C₂²	1	4	yes	complemented
158	#354808	C₂²	1	4	yes	complemented
159	#354203	C₂²	1	4	yes	complemented
160	#354188	C₂²	1	4	yes	complemented
161	#353811	C₂²	1	2	yes	complemented
162	#353760	C₂²	1	2	yes	complemented
163	C₂⁵×D₄	C₂³	1	1	yes	characteristic
164	C₂⁴×D₈	C₂³	1	4	yes	—
165	C₂²×#532	C₂³	1	2	yes	—
166	C₂²×#532	C₂³	1	4	yes	—
167	C₂²×#532	C₂³	1	2	yes	—
168	C₂²×#532	C₂³	1	2	yes	—
169	C₂²×#532	C₂³	1	2	yes	—
170	C₂²×#532	C₂³	1	4	yes	—
171	C₂³×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₂³×C₄⋊Q₈	C₂³	1	1	yes	characteristic
173	C₂³×#127	C₂³	1	1	yes	characteristic
174	C₂³×#127	C₂³	1	1	yes	characteristic
175	C₂³×#127	C₂³	1	1	yes	characteristic
176	C₂³×#121	C₂³	1	2	yes	—
177	C₂³×#121	C₂³	1	1	yes	characteristic
178	C₂³×#121	C₂³	1	1	yes	characteristic
179	C₂³×#121	C₂³	1	1	yes	characteristic
180	C₂³×#121	C₂³	1	1	yes	characteristic
181	C₂³×C₄×D₄	D₄	1	1	yes	characteristic
182	C₂³×C₄×D₄	D₄	1	1	yes	characteristic
183	C₂³×C₄×D₄	D₄	1	16	yes	complemented
184	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
185	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
186	C₂³×C₄×D₄	C₂³	1	2	yes	—
187	C₂³×C₄×D₄	C₂³	1	2	yes	—
188	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
189	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
190	C₂³×C₄×D₄	C₂³	1	2	yes	—
191	C₂³×C₄×D₄	C₂³	1	2	yes	—
192	C₂³×C₄×D₄	C₂³	1	2	yes	—
193	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
194	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
195	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
197	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
198	C₂×#3109	D₄	1	32	yes	complemented
199	C₂²×#481	C₂³	1	8	yes	—
200	C₂²×#481	C₂³	1	4	yes	—
201	C₂²×#481	C₂³	1	4	yes	—
202	C₂²×#481	C₂³	1	4	yes	—
203	C₂²×#476	C₂³	1	4	yes	—
204	C₂²×#476	C₂³	1	4	yes	—
205	C₂²×#476	C₂³	1	4	yes	—
206	C₂²×#476	C₂³	1	4	yes	—
207	C₂²×#476	C₂³	1	4	yes	complemented
208	C₂²×#459	C₂³	1	4	yes	—
209	C₂²×#459	C₂³	1	4	yes	—
210	C₂²×#459	C₂³	1	4	yes	—
211	C₂²×#459	C₂³	1	4	yes	—
212	C₂²×#459	C₂³	1	4	yes	complemented
213	C₂²×#447	C₂³	1	4	yes	—
214	C₂²×#447	C₂³	1	8	yes	—
215	C₂²×#447	C₂³	1	4	yes	—
216	C₂²×#447	C₂³	1	4	yes	—
217	C₂²×#447	C₂³	1	4	yes	—
218	C₂²×#442	C₂³	1	8	yes	—
219	C₂²×#442	C₂³	1	8	yes	—
220	C₂²×#442	C₂³	1	8	yes	—
221	C₂²×#442	C₂³	1	8	yes	—
222	C₂²×#442	C₂³	1	8	yes	complemented
223	C₂²×#432	C₂³	1	2	yes	—
224	C₂²×#432	C₂³	1	2	yes	—
225	C₂²×#432	C₂³	1	2	yes	—
226	C₂²×#432	C₂³	1	2	yes	—
227	C₂²×#432	C₂³	1	2	yes	—
228	C₂³×#106	C₂³	1	4	yes	—
229	C₂³×C₄⋊C₈	C₂³	1	2	yes	—
230	C₂³×#102	C₂³	1	4	yes	—
231	C₂³×#102	C₂³	1	4	yes	—
232	C₂³×C₂²⋊C₈	C₂³	1	2	yes	—
233	C₂³×#97	C₂³	1	2	yes	—
234	C₂×#2857	C₂³	1	4	yes	complemented
235	C₂×#2856	C₂³	1	4	yes	complemented
236	C₂×#2854	C₂³	1	4	yes	—
237	C₂×#2847	C₂³	1	4	yes	—
238	C₂×#2452	C₂³	1	4	yes	—
239	C₂×#2452	C₂³	1	4	yes	—
240	C₂×#2445	C₂³	1	4	yes	—
241	C₂×#2445	C₂³	1	4	yes	—
242	C₂×#2428	C₂³	1	4	yes	—
243	C₂×#2428	C₂³	1	4	yes	—
244	C₂×#2422	C₂³	1	4	yes	—
245	C₂×#2422	C₂³	1	4	yes	—
246	C₂×#2440	C₂³	1	4	yes	—
247	C₂×#2440	C₂³	1	4	yes	—
248	C₂×#2433	C₂³	1	4	yes	—
249	C₂×#2433	C₂³	1	4	yes	—
250	C₂×#2416	C₂³	1	4	yes	—
251	C₂×#2416	C₂³	1	4	yes	—
252	C₂×#2408	C₂³	1	4	yes	—
253	C₂×#2408	C₂³	1	4	yes	—
254	C₂×#2408	C₂³	1	4	yes	—
255	C₂×C₄×#127	C₂³	1	4	yes	—
256	C₂×C₄×#127	C₂³	1	4	yes	—
257	C₂×C₄×#121	D₄	1	16	yes	complemented
258	C₂×C₄×#121	C₂³	1	4	yes	—
259	C₂×C₄×#121	C₂³	1	4	yes	—
260	C₂×C₄×#121	C₂³	1	2	yes	—
261	C₂×C₄×#121	C₂³	1	2	yes	—
262	C₂×C₄×#121	C₂³	1	2	yes	—
263	C₂×C₄×#121	C₂³	1	2	yes	—
264	C₂×C₄×#121	C₂³	1	8	yes	complemented
265	C₂×#2293	C₂³	1	4	yes	—
266	C₂×#2293	C₂³	1	4	yes	—
267	C₂²×#390	C₂³	1	1	yes	characteristic
268	C₂²×#390	C₂³	1	1	yes	characteristic
269	C₂²×#390	C₂³	1	1	yes	characteristic
270	C₂²×#390	C₂³	1	1	yes	characteristic
271	C₂²×#390	C₂³	1	1	yes	characteristic
272	C₂²×#390	C₂³	1	1	yes	characteristic
273	C₂²×#389	C₂³	1	1	yes	characteristic
274	C₂²×#389	C₂³	1	1	yes	characteristic
275	C₂²×#389	C₂³	1	1	yes	characteristic
276	C₂²×#389	C₂³	1	1	yes	characteristic
277	C₂×#2285	C₂³	1	2	yes	—
278	C₂²×#384	C₂³	1	1	yes	characteristic
279	C₂²×#380	C₂³	1	1	yes	characteristic
280	C₂²×#380	C₂³	1	1	yes	characteristic
281	C₂×C₄²×D₄	D₄	1	2	yes	—
282	C₂×C₄²×D₄	D₄	1	2	yes	—
283	C₂×C₄²×D₄	D₄	1	2	yes	—
284	C₂×C₄²×D₄	D₄	1	2	yes	—
285	C₂×C₄²×D₄	C₂³	1	2	yes	—
286	C₂×C₄²×D₄	C₂³	1	2	yes	—
287	C₂×C₄²×D₄	C₂³	1	2	yes	—
288	C₂×C₄²×D₄	C₂³	1	2	yes	—
289	C₂²×C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
290	C₂²×C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
291	C₂²×C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂²×C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂²×C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
294	C₂²×C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
295	C₂²×C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
296	C₂²×C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
297	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂²×C₄³	C₂³	1	1	yes	characteristic
300	C₂×#2058	C₂³	1	4	yes	complemented
301	C₂×#2058	C₂³	1	16	yes	complemented
302	C₂×#2041	C₂³	1	16	yes	—
303	C₂×#2041	C₂³	1	4	yes	complemented
304	C₂×#2034	C₂³	1	8	yes	—
305	C₂×#2034	C₂³	1	16	yes	—
306	C₂×#2034	C₂³	1	16	yes	complemented
307	C₂×#2023	C₂³	1	4	yes	complemented
308	C₂×#2023	C₂³	1	16	yes	complemented
309	C₂×#2011	C₂³	1	16	yes	—
310	C₂×#2011	C₂³	1	16	yes	—
311	C₂×#2011	C₂³	1	4	yes	complemented
312	C₂×#1999	C₂³	1	8	yes	—
313	C₂×#1999	C₂³	1	16	yes	—
314	C₂×#1999	C₂³	1	16	yes	—
315	C₂×#1999	C₂³	1	16	yes	complemented
316	C₂×#1987	C₂³	1	4	yes	complemented
317	C₂×#1982	C₂³	1	4	yes	complemented
318	C₂×#1893	C₂³	1	8	yes	—
319	C₂×#1879	C₂³	1	8	yes	complemented
320	C₂×#1874	C₂³	1	4	yes	—
321	C₂×#1874	C₂³	1	4	yes	—
322	C₂×#1874	C₂³	1	4	yes	—
323	C₂×#1869	C₂³	1	8	yes	—
324	C₂×#1864	C₂³	1	8	yes	complemented
325	C₂×#1853	C₂³	1	4	yes	—
326	C₂×#1824	C₂³	1	4	yes	—
327	C₂×#1824	C₂³	1	4	yes	—
328	C₂×#1824	C₂³	1	4	yes	—
329	C₂×#1817	C₂³	1	2	yes	—
330	C₂×#1817	C₂³	1	4	yes	—
331	C₂×#1802	C₂³	1	8	yes	—
332	C₂×#1802	C₂³	1	8	yes	—
333	C₂×#1802	C₂³	1	8	yes	complemented
334	C₂×#1797	C₂³	1	2	yes	—
335	C₂×#1797	C₂³	1	2	yes	—
336	C₂×#1797	C₂³	1	8	yes	complemented
337	C₂×#1786	C₂³	1	4	yes	—
338	C₂×#1786	C₂³	1	4	yes	—
339	C₂×#1786	C₂³	1	4	yes	—
340	C₂×#1786	C₂³	1	8	yes	—
341	C₂×#1786	C₂³	1	4	yes	—
342	C₂×#1786	C₂³	1	8	yes	—
343	C₂×#1779	C₂³	1	4	yes	—
344	C₂×#1779	C₂³	1	2	yes	—
345	C₂×#1762	C₂³	1	8	yes	—
346	C₂×#1762	C₂³	1	8	yes	—
347	C₂×#1762	C₂³	1	8	yes	complemented
348	C₂×#1762	C₂³	1	8	yes	complemented
349	C₂×#1749	C₂³	1	2	yes	—
350	C₂×#1749	C₂³	1	2	yes	—
351	C₂×#1749	C₂³	1	8	yes	complemented
352	#15128	C₂³	1	4	yes	complemented
353	#15127	C₂³	1	4	yes	complemented
354	#15126	C₂³	1	8	yes	—
355	#15125	C₂³	1	4	yes	complemented
356	#15124	C₂³	1	4	yes	complemented
357	#15123	C₂³	1	8	yes	—
358	#14714	C₂³	1	4	yes	complemented
359	#14713	C₂³	1	4	yes	complemented
360	#14698	C₂³	1	4	yes	—
361	#14698	C₂³	1	4	yes	—
362	#14686	C₂³	1	2	yes	—
363	#14686	C₂³	1	2	yes	—
364	#14685	C₂³	1	2	yes	—
365	#14680	C₂³	1	2	yes	—
366	#14130	C₂³	1	4	yes	—
367	#14018	C₂³	1	8	yes	complemented
368	#13970	C₂³	1	8	yes	complemented
369	#13902	C₂³	1	4	yes	—
370	#13872	C₂³	1	4	yes	—
371	C₄×#380	C₂³	1	2	yes	—
372	C₄×#380	C₂³	1	2	yes	—
373	C₄×#390	C₂³	1	8	yes	complemented
374	#11327	C₂³	1	16	yes	complemented
375	#11323	C₂³	1	16	yes	complemented
376	#11227	C₂³	1	8	yes	complemented
377	#11220	C₂³	1	16	yes	complemented
378	#11220	C₂³	1	16	yes	complemented
379	#11202	C₂³	1	8	yes	complemented
380	#11200	C₂³	1	8	yes	—
381	#11189	C₂³	1	16	yes	—
382	#11189	C₂³	1	16	yes	—
383	#11147	C₂³	1	8	yes	—
384	#11121	C₂³	1	16	yes	—
385	#11121	C₂³	1	16	yes	complemented
386	#11095	C₂³	1	16	yes	complemented
387	#11076	C₂³	1	8	yes	complemented
388	#11066	C₂³	1	16	yes	—
389	#11066	C₂³	1	16	yes	complemented
390	#11066	C₂³	1	16	yes	complemented
391	#11066	C₂³	1	16	yes	complemented
392	#11049	C₂³	1	16	yes	complemented
393	#11042	C₂³	1	8	yes	complemented
394	#11022	C₂³	1	16	yes	—
395	#11022	C₂³	1	16	yes	—
396	#11022	C₂³	1	16	yes	—
397	#11022	C₂³	1	16	yes	—
398	#11022	C₂³	1	16	yes	complemented
399	#11008	C₂³	1	16	yes	—
400	#10969	C₂³	1	8	yes	—
401	#10969	C₂³	1	16	yes	—
402	#10969	C₂³	1	16	yes	complemented
403	#10964	C₂³	1	8	yes	—
404	#10927	C₂³	1	8	yes	complemented
405	#10922	C₂³	1	8	yes	complemented
406	#10881	C₂³	1	8	yes	complemented
407	#10875	C₂³	1	8	yes	complemented
408	#10849	C₂³	1	8	yes	complemented
409	#10832	C₂³	1	8	yes	complemented
410	#10788	C₂³	1	8	yes	—
411	#10788	C₂³	1	8	yes	—
412	#10788	C₂³	1	8	yes	—
413	#10788	C₂³	1	8	yes	—
414	#10730	C₂³	1	4	yes	—
415	#10730	C₂³	1	4	yes	—
416	#10730	C₂³	1	8	yes	—
417	#10730	C₂³	1	8	yes	—
418	#10721	C₂³	1	8	yes	—
419	#10714	C₂³	1	8	yes	—
420	#10712	C₂³	1	4	yes	—
421	#10712	C₂³	1	4	yes	—
422	#10703	C₂³	1	8	yes	complemented
423	#10693	C₂³	1	8	yes	complemented
424	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
425	C₂⁴×D₄	C₂×D₄	1	8	yes	—
426	C₂⁴×D₄	C₂⁴	1	2	yes	—
427	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
428	C₂⁴×D₄	C₂⁴	1	2	yes	—
429	C₂⁴×D₄	C₂⁴	1	2	yes	—
430	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
431	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
432	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
433	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
434	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
435	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
436	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
437	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
438	C₂³×D₈	C₂⁴	1	8	yes	—
439	C₂³×D₈	C₂⁴	1	8	yes	—
440	C₂³×D₈	C₂⁴	1	8	yes	—
441	C₂⁴×C₈	C₂⁴	1	4	yes	—
442	C₂×#532	C₂×D₄	1	16	yes	—
443	C₂²×C₄⋊Q₈	C₂⁴	1	2	yes	—
444	C₂²×C₄⋊Q₈	C₂⁴	1	2	yes	—
445	C₂²×C₄⋊Q₈	C₂⁴	1	4	yes	—
446	C₂²×#127	C₂⁴	1	2	yes	—
447	C₂²×#127	C₂⁴	1	4	yes	—
448	C₂²×#127	C₂⁴	1	2	yes	—
449	C₂²×#127	C₂⁴	1	4	yes	—
450	C₂²×#121	C₂×D₄	1	8	yes	—
451	C₂²×#121	C₂⁴	1	4	yes	—
452	C₂²×#121	C₂⁴	1	2	yes	—
453	C₂²×#121	C₂⁴	1	4	yes	—
454	C₂²×#121	C₂⁴	1	4	yes	—
455	C₂²×#121	C₂⁴	1	4	yes	—
456	C₂²×#121	C₂⁴	1	4	yes	—
457	C₂²×#121	C₂⁴	1	8	yes	—
458	C₂²×#121	C₂⁴	1	2	yes	—
459	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
460	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
461	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
462	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
463	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
464	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
465	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
466	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
467	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
468	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
469	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
470	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
471	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
472	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
473	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
474	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
475	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
476	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
477	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
478	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
479	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
480	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
481	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
482	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
483	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
484	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
485	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
486	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
487	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
488	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
489	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
490	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
491	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
492	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
493	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
494	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
495	C₂³×C₄⋊C₄	C₂×D₄	1	8	yes	—
496	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
497	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
498	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
499	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
500	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
501	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
502	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
503	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
504	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
505	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
506	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
507	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
508	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
509	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
510	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
511	C₂³×C₄²	C₂×D₄	1	8	yes	—
512	C₂³×C₄²	C₂×D₄	1	8	yes	—
513	C₂³×C₄²	C₂×D₄	1	2	yes	—
514	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
515	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
516	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
517	C₂³×C₄²	C₂×D₄	1	2	yes	—
518	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
519	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
520	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
521	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
522	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
523	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
524	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
525	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
526	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
527	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
528	C₂³×C₄²	C₂⁴	1	2	yes	—
529	C₂³×C₄²	C₂⁴	1	2	yes	—
530	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
531	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
532	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
533	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
534	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
535	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
536	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
537	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
538	C₂×#481	C₂×D₄	1	32	yes	—
539	C₂×#476	C₂×D₄	1	32	yes	complemented
540	C₂×#459	C₂×D₄	1	32	yes	complemented
541	C₂×#447	C₂×D₄	1	32	yes	—
542	C₂×#442	C₂×D₄	1	64	yes	complemented
543	C₂×#432	C₂×D₄	1	16	yes	—
544	C₂²×#106	C₂⁴	1	8	yes	—
545	C₂²×#106	C₂⁴	1	8	yes	—
546	C₂²×#106	C₂⁴	1	8	yes	—
547	C₂²×C₄⋊C₈	C₂⁴	1	4	yes	—
548	C₂²×C₄⋊C₈	C₂⁴	1	4	yes	—
549	C₂²×C₄⋊C₈	C₂⁴	1	4	yes	—
550	C₂²×#102	C₂⁴	1	8	yes	—
551	C₂²×#102	C₂⁴	1	8	yes	—
552	C₂²×#102	C₂⁴	1	8	yes	—
553	C₂²×#102	C₂⁴	1	8	yes	—
554	C₂²×#102	C₂⁴	1	8	yes	—
555	C₂²×#102	C₂⁴	1	8	yes	—
556	C₂²×#102	C₂⁴	1	16	yes	—
557	C₂²×#102	C₂⁴	1	16	yes	—
558	C₂²×#102	C₂⁴	1	8	yes	—
559	C₂²×#102	C₂⁴	1	8	yes	—
560	C₂²×#102	C₂⁴	1	16	yes	—
561	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
562	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
563	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
564	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
565	C₂²×C₂²⋊C₈	C₂⁴	1	16	yes	—
566	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
567	C₂²×#97	C₂⁴	1	4	yes	—
568	C₂²×#97	C₂⁴	1	4	yes	—
569	C₂²×#97	C₂⁴	1	4	yes	—
570	C₄×#121	C₂×D₄	1	16	yes	—
571	C₄×#121	C₂×D₄	1	16	yes	—
572	C₄×#121	C₂×D₄	1	16	yes	—
573	C₄×#121	C₂×D₄	1	16	yes	—
574	C₂×#390	C₂×D₄	1	8	yes	—
575	C₂×#390	C₂⁴	1	4	yes	—
576	C₂×#390	C₂⁴	1	4	yes	—
577	C₂×#390	C₂⁴	1	4	yes	—
578	C₂×#390	C₂⁴	1	4	yes	—
579	C₂×#390	C₂⁴	1	4	yes	—
580	C₂×#390	C₂⁴	1	8	yes	—
581	C₂×#390	C₂⁴	1	2	yes	—
582	C₂×#390	C₂⁴	1	2	yes	—
583	C₂×#390	C₂⁴	1	8	yes	—
584	C₂×#390	C₂⁴	1	8	yes	—
585	C₂×#389	C₂×D₄	1	8	yes	—
586	C₂×#389	C₂⁴	1	4	yes	—
587	C₂×#389	C₂⁴	1	4	yes	—
588	C₂×#389	C₂⁴	1	4	yes	—
589	C₂×#389	C₂⁴	1	8	yes	—
590	C₂×#389	C₂⁴	1	2	yes	—
591	C₂×#389	C₂⁴	1	2	yes	—
592	C₂×#384	C₂⁴	1	4	yes	—
593	C₂×#384	C₂⁴	1	4	yes	—
594	C₂×#380	C₂×D₄	1	8	yes	—
595	C₂×#380	C₂⁴	1	4	yes	—
596	C₂×#380	C₂⁴	1	4	yes	—
597	C₂×#380	C₂⁴	1	4	yes	—
598	C₂×#380	C₂⁴	1	8	yes	—
599	C₂×#380	C₂⁴	1	2	yes	—
600	C₂×#380	C₂⁴	1	2	yes	—
601	C₂×#380	C₂⁴	1	4	yes	—
602	C₂×C₄×C₄⋊C₄	C₂×D₄	1	8	yes	—
603	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
604	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
605	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
606	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
607	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
608	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
609	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
610	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
611	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
612	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
613	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
614	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
615	C₂×C₄×C₄⋊C₄	C₂⁴	1	4	yes	—
616	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
617	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
618	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
619	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
620	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
621	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
622	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
623	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
624	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
625	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
626	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
627	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
628	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
629	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
630	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
631	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
632	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
633	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
634	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
635	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
636	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
637	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
638	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
639	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
640	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
641	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
642	C₂²×#95	C₂×D₄	1	1	yes	characteristic
643	C₂²×#95	C₂×D₄	1	1	yes	characteristic
644	C₂²×#95	C₂×D₄	1	1	yes	characteristic
645	C₂²×#95	C₂×D₄	1	1	yes	characteristic
646	C₂²×#95	C₂×D₄	1	1	yes	characteristic
647	C₂²×#95	C₂×D₄	1	1	yes	characteristic
648	C₂×C₄³	C₂×D₄	1	2	yes	—
649	C₂×C₄³	C₂×D₄	1	2	yes	—
650	C₂×C₄³	C₂⁴	1	2	yes	—
651	C₂×C₄³	C₂⁴	1	2	yes	—
652	C₂×#340	C₂⁴	1	16	yes	—
653	C₂×#340	C₂⁴	1	16	yes	—
654	C₂×#340	C₂⁴	1	8	yes	—
655	C₂×#340	C₂⁴	1	8	yes	—
656	C₂×#340	C₂⁴	1	16	yes	—
657	C₂×#340	C₂⁴	1	16	yes	—
658	C₂×#340	C₂⁴	1	16	yes	—
659	C₂×#336	C₂⁴	1	16	yes	—
660	C₂×#336	C₂⁴	1	4	yes	—
661	C₂×#336	C₂⁴	1	4	yes	—
662	C₂×#336	C₂⁴	1	16	yes	—
663	C₂×#336	C₂⁴	1	16	yes	—
664	C₄⋊#95	C₂⁴	1	8	yes	—
665	C₄⋊#95	C₂⁴	1	8	yes	—
666	C₄⋊#95	C₂⁴	1	4	yes	—
667	C₄⋊#95	C₂⁴	1	4	yes	—
668	C₂⁶	C₂²×D₄	1	1	yes	characteristic
669	C₂⁶	C₂²×D₄	1	1	yes	characteristic
670	C₂³×D₄	C₂²×D₄	1	2	yes	—
671	C₂³×D₄	C₂²×D₄	1	2	yes	—
672	C₂³×D₄	C₂²×D₄	1	8	yes	—
673	C₂³×D₄	C₂²×D₄	1	4	yes	—
674	C₂³×D₄	C₂²×D₄	1	8	yes	—
675	C₂³×D₄	C₂²×D₄	1	4	yes	—
676	C₂³×D₄	C₂²×D₄	1	8	yes	—
677	C₂³×D₄	C₂²×D₄	1	4	yes	—
678	C₂³×D₄	C₂⁵	1	2	yes	—
679	C₂³×D₄	C₂⁵	1	4	yes	—
680	C₂³×D₄	C₂⁵	1	2	yes	—
681	C₂³×D₄	C₂⁵	1	2	yes	—
682	C₂⁴×C₄	#120	1	8	yes	—
683	C₂⁴×C₄	#120	1	8	yes	—
684	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
685	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
686	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
687	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
688	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
689	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
690	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
691	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
692	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
693	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
694	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
695	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
696	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
697	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
698	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
699	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
700	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
701	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
702	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
703	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
704	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
705	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
706	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
707	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
708	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
709	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
710	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
711	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
712	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
713	C₂⁴×C₄	C₂⁵	1	2	yes	—
714	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
715	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
716	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
717	C₂²×D₈	C₂²×D₄	1	32	yes	—
718	C₂³×C₈	C₂⁵	1	8	yes	—
719	C₂³×C₈	C₂⁵	1	8	yes	—
720	C₂×C₄⋊Q₈	C₂²×D₄	1	8	yes	—
721	C₂×#127	C₂²×D₄	1	8	yes	—
722	C₂×#121	C₂²×D₄	1	16	yes	—
723	C₂×#121	C₂²×D₄	1	8	yes	—
724	C₂×#121	C₂²×D₄	1	8	yes	—
725	C₂×C₄×D₄	#120	1	64	yes	complemented
726	C₂×C₄×D₄	AGL(1,ℤ/8)	1	16	yes	—
727	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
728	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
729	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
730	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
731	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
732	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
733	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
734	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
735	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
736	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
737	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
738	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
739	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
740	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
741	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
742	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
743	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
744	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
745	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
746	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
747	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
748	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
749	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
750	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
751	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
752	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
753	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
754	C₂²×C₄⋊C₄	C₂⁵	1	8	yes	—
755	C₂²×C₄⋊C₄	C₂⁵	1	4	yes	—
756	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
757	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
758	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
759	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
760	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
761	C₂²×C₂²⋊C₄	AGL(1,ℤ/8)	1	8	yes	—
762	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
763	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
764	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
765	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
766	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
767	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
768	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
769	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
770	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
771	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
772	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
773	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
774	C₂²×C₄²	#120	1	8	yes	—
775	C₂²×C₄²	#120	1	8	yes	—
776	C₂²×C₄²	#120	1	8	yes	—
777	C₂²×C₄²	#120	1	8	yes	—
778	C₂²×C₄²	#120	1	8	yes	—
779	C₂²×C₄²	#120	1	8	yes	—
780	C₂²×C₄²	C₂²×D₄	1	2	yes	—
781	C₂²×C₄²	C₂²×D₄	1	2	yes	—
782	C₂²×C₄²	C₂²×D₄	1	2	yes	—
783	C₂²×C₄²	C₂²×D₄	1	2	yes	—
784	C₂²×C₄²	C₂²×D₄	1	2	yes	—
785	C₂²×C₄²	C₂²×D₄	1	2	yes	—
786	C₂²×C₄²	C₂²×D₄	1	2	yes	—
787	C₂²×C₄²	C₂²×D₄	1	2	yes	—
788	C₂²×C₄²	C₂²×D₄	1	2	yes	—
789	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
790	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
791	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
792	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
793	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
794	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
795	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
796	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
797	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
798	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
799	C₂²×C₄²	C₂²×D₄	1	4	yes	—
800	C₂²×C₄²	C₂²×D₄	1	4	yes	—
801	C₂²×C₄²	C₂²×D₄	1	4	yes	—
802	C₂²×C₄²	C₂²×D₄	1	4	yes	—
803	C₂²×C₄²	C₂²×D₄	1	4	yes	—
804	C₂²×C₄²	C₂²×D₄	1	4	yes	—
805	C₂²×C₄²	C₂²×D₄	1	4	yes	—
806	C₂²×C₄²	C₂²×D₄	1	4	yes	—
807	C₂²×C₄²	C₂²×D₄	1	4	yes	—
808	C₂²×C₄²	C₂²×D₄	1	4	yes	—
809	C₂²×C₄²	C₂²×D₄	1	2	yes	—
810	C₂²×C₄²	C₂²×D₄	1	2	yes	—
811	C₂²×C₄²	C₂²×D₄	1	2	yes	—
812	C₂²×C₄²	C₂²×D₄	1	2	yes	—
813	C₂²×C₄²	C₂²×D₄	1	2	yes	—
814	C₂²×C₄²	C₂²×D₄	1	2	yes	—
815	C₂²×C₄²	C₂²×D₄	1	4	yes	—
816	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
817	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
818	C₂²×C₄²	C₂²×D₄	1	8	yes	—
819	C₂²×C₄²	C₂²×D₄	1	4	yes	—
820	C₂²×C₄²	H(5,𝔽₂)	1	8	yes	—
821	C₂²×C₄²	C₂⁵	1	2	yes	—
822	C₂²×C₄²	C₂⁵	1	2	yes	—
823	C₂²×C₄²	C₂⁵	1	2	yes	—
824	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
825	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
826	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
827	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
828	C₂×#106	C₂²×D₄	1	32	yes	—
829	C₂×C₄⋊C₈	C₂²×D₄	1	16	yes	—
830	C₂×#102	C₂²×D₄	1	32	yes	—
831	C₂×#102	C₂²×D₄	1	32	yes	—
832	C₂×C₂²⋊C₈	C₂²×D₄	1	16	yes	—
833	C₂×#97	C₂²×D₄	1	16	yes	—
834	#390	C₂²×D₄	1	8	yes	—
835	#390	C₂²×D₄	1	8	yes	—
836	#389	C₂²×D₄	1	8	yes	—
837	#389	C₂²×D₄	1	8	yes	—
838	#380	C₂²×D₄	1	8	yes	—
839	#380	C₂²×D₄	1	8	yes	—
840	C₄×C₄⋊C₄	C₂²×D₄	1	8	yes	—
841	C₄×C₄⋊C₄	C₂²×D₄	1	8	yes	—
842	C₂×#95	C₂²×D₄	1	2	yes	—
843	C₂×#95	C₂²×D₄	1	2	yes	—
844	C₂×#95	C₂²×D₄	1	2	yes	—
845	C₂×#95	C₂²×D₄	1	2	yes	—
846	C₂×#95	C₂²×D₄	1	2	yes	—
847	C₂×#95	C₂²×D₄	1	2	yes	—
848	C₂×#95	C₂²×D₄	1	2	yes	—
849	C₂×#95	C₂²×D₄	1	2	yes	—
850	C₂×#95	C₂²×D₄	1	2	yes	—
851	C₂×#95	C₂²×D₄	1	2	yes	—
852	C₂×#95	C₂²×D₄	1	2	yes	—
853	C₂×#95	C₂²×D₄	1	2	yes	—
854	C₂⁵	C₂×#120	1	4	yes	—
855	C₂⁵	C₂×AGL(1,ℤ/8)	1	4	yes	—
856	C₂⁵	#575	1	4	yes	—
857	C₂⁵	C₂³×D₄	1	2	yes	—
858	C₂⁵	C₂³×D₄	1	1	yes	characteristic
859	C₂⁵	C₂³×D₄	1	1	yes	characteristic
860	C₂⁵	C₂³×D₄	1	1	yes	characteristic
861	C₂²×D₄	C₂×#120	1	16	yes	—
862	C₂²×D₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
863	C₂²×D₄	C₂³×D₄	1	8	yes	—
864	C₂²×D₄	C₂³×D₄	1	4	yes	—
865	C₂²×D₄	C₂³×D₄	1	8	yes	—
866	C₂²×D₄	C₂³×D₄	1	4	yes	—
867	C₂²×D₄	C₂³×D₄	1	4	yes	—
868	C₂²×D₄	#585	1	8	yes	—
869	C₂³×C₄	C₂×#120	1	4	yes	—
870	C₂³×C₄	C₂×#120	1	4	yes	—
871	C₂³×C₄	C₂×#120	1	4	yes	—
872	C₂³×C₄	C₂×#120	1	4	yes	—
873	C₂³×C₄	C₂×#120	1	4	yes	—
874	C₂³×C₄	C₂×#120	1	4	yes	—
875	C₂³×C₄	C₂×#120	1	4	yes	—
876	C₂³×C₄	C₂×#120	1	4	yes	—
877	C₂³×C₄	C₂×#120	1	4	yes	—
878	C₂³×C₄	C₂×#120	1	4	yes	—
879	C₂³×C₄	C₂×#120	1	4	yes	—
880	C₂³×C₄	C₂×#120	1	4	yes	—
881	C₂³×C₄	C₂×#120	1	4	yes	—
882	C₂³×C₄	C₂×#120	1	4	yes	—
883	C₂³×C₄	C₂×#120	1	4	yes	—
884	C₂³×C₄	D₄²	1	8	yes	—
885	C₂³×C₄	D₄²	1	8	yes	—
886	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	4	yes	—
887	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
888	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
889	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	4	yes	—
890	C₂³×C₄	C₂³×D₄	1	2	yes	—
891	C₂³×C₄	C₂³×D₄	1	2	yes	—
892	C₂³×C₄	C₂³×D₄	1	2	yes	—
893	C₂³×C₄	C₂³×D₄	1	2	yes	—
894	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
895	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
896	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
897	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
898	C₂³×C₄	C₂³×D₄	1	2	yes	—
899	C₂³×C₄	C₂³×D₄	1	2	yes	—
900	C₂³×C₄	C₂³×D₄	1	2	yes	—
901	C₂³×C₄	C₂³×D₄	1	2	yes	—
902	C₂³×C₄	C₂³×D₄	1	2	yes	—
903	C₂³×C₄	C₂³×D₄	1	2	yes	—
904	C₂³×C₄	C₂³×D₄	1	4	yes	—
905	C₂³×C₄	C₂³×D₄	1	2	yes	—
906	C₂³×C₄	C₂³×D₄	1	2	yes	—
907	C₂³×C₄	C₂³×D₄	1	2	yes	—
908	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
909	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
910	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
911	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
912	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
913	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
914	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
915	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
916	C₂³×C₄	#585	1	8	yes	—
917	C₂³×C₄	C₂⁶	1	1	yes	characteristic
918	C₂²×C₈	C₂³×D₄	1	16	yes	—
919	C₄×D₄	C₂×#120	1	32	yes	—
920	C₄×D₄	C₂×#120	1	32	yes	—
921	C₂×C₄⋊C₄	C₂×#120	1	16	yes	—
922	C₂×C₄⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
923	C₂×C₄⋊C₄	C₂³×D₄	1	8	yes	—
924	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
925	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
926	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
927	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
928	C₂×C₄⋊C₄	C₂³×D₄	1	8	yes	—
929	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
930	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
931	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
932	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
933	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
934	C₂×C₄²	C₂×#120	1	4	yes	—
935	C₂×C₄²	C₂×#120	1	4	yes	—
936	C₂×C₄²	C₂×#120	1	4	yes	—
937	C₂×C₄²	C₂×#120	1	4	yes	—
938	C₂×C₄²	C₂×#120	1	4	yes	—
939	C₂×C₄²	C₂×#120	1	4	yes	—
940	C₂×C₄²	C₂×#120	1	4	yes	—
941	C₂×C₄²	C₂×#120	1	4	yes	—
942	C₂×C₄²	C₂×#120	1	4	yes	—
943	C₂×C₄²	C₂×#120	1	4	yes	—
944	C₂×C₄²	C₂×#120	1	4	yes	—
945	C₂×C₄²	C₂×#120	1	4	yes	—
946	C₂×C₄²	C₂×#120	1	16	yes	—
947	C₂×C₄²	#534	1	16	yes	—
948	C₂×C₄²	D₄²	1	8	yes	—
949	C₂×C₄²	D₄²	1	8	yes	—
950	C₂×C₄²	D₄²	1	32	yes	—
951	C₂×C₄²	C₂×AGL(1,ℤ/8)	1	8	yes	—
952	C₂×C₄²	C₂³×D₄	1	2	yes	—
953	C₂×C₄²	C₂³×D₄	1	2	yes	—
954	C₂×C₄²	C₂³×D₄	1	2	yes	—
955	C₂×C₄²	C₂³×D₄	1	2	yes	—
956	C₂×C₄²	C₂³×D₄	1	2	yes	—
957	C₂×C₄²	C₂³×D₄	1	2	yes	—
958	C₂×C₄²	C₂³×D₄	1	4	yes	—
959	C₂×C₄²	C₂³×D₄	1	4	yes	—
960	C₂×C₄²	C₂³×D₄	1	2	yes	—
961	C₂×C₄²	C₂³×D₄	1	2	yes	—
962	C₂×C₄²	C₂×H(5,𝔽₂)	1	4	yes	—
963	C₂×C₄²	C₂×H(5,𝔽₂)	1	4	yes	—
964	C₂⁴	#3006	1	16	yes	—
965	C₂⁴	C₂²×#120	1	2	yes	—
966	C₂⁴	C₂²×#120	1	2	yes	—
967	C₂⁴	C₂²×#120	1	2	yes	—
968	C₂⁴	#3449	1	4	yes	—
969	C₂⁴	C₂×D₄²	1	4	yes	—
970	C₂⁴	C₂²×AGL(1,ℤ/8)	1	4	yes	—
971	C₂⁴	C₂²×AGL(1,ℤ/8)	1	2	yes	—
972	C₂⁴	C₂²×AGL(1,ℤ/8)	1	4	yes	—
973	C₂⁴	C₂²×AGL(1,ℤ/8)	1	2	yes	—
974	C₂⁴	C₂²×AGL(1,ℤ/8)	1	2	yes	—
975	C₂⁴	C₂×#575	1	2	yes	—
976	C₂⁴	C₂×#575	1	2	yes	—
977	C₂⁴	C₂×#575	1	2	yes	—
978	C₂⁴	#3585	1	4	yes	—
979	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
980	C₂×D₄	C₂²×#120	1	8	yes	—
981	C₂×D₄	#3449	1	8	yes	—
982	C₂²×C₄	#2403	1	16	yes	—
983	C₂²×C₄	#2403	1	16	yes	—
984	C₂²×C₄	#3003	1	16	yes	—
985	C₂²×C₄	C₂²×#120	1	2	yes	—
986	C₂²×C₄	C₂²×#120	1	2	yes	—
987	C₂²×C₄	C₂²×#120	1	2	yes	—
988	C₂²×C₄	C₂²×#120	1	2	yes	—
989	C₂²×C₄	C₂²×#120	1	2	yes	—
990	C₂²×C₄	C₂²×#120	1	2	yes	—
991	C₂²×C₄	C₂²×#120	1	2	yes	—
992	C₂²×C₄	C₂²×#120	1	2	yes	—
993	C₂²×C₄	C₂²×#120	1	2	yes	—
994	C₂²×C₄	C₂²×#120	1	4	yes	—
995	C₂²×C₄	C₂²×#120	1	2	yes	—
996	C₂²×C₄	C₂²×#120	1	2	yes	—
997	C₂²×C₄	C₂×#534	1	4	yes	—
998	C₂²×C₄	#3449	1	4	yes	—
999	C₂²×C₄	#3449	1	8	yes	—
1000	C₂²×C₄	#3449	1	8	yes	—
1001	C₂²×C₄	C₂×D₄²	1	4	yes	—
1002	C₂²×C₄	C₂×D₄²	1	4	yes	—
1003	C₂²×C₄	C₂×D₄²	1	4	yes	—
1004	C₂²×C₄	C₂×D₄²	1	4	yes	—
1005	C₂²×C₄	C₂×D₄²	1	8	yes	—
1006	C₂²×C₄	C₂×D₄²	1	4	yes	—
1007	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1008	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1009	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1010	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1011	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1012	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1013	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1014	C₂²×C₄	#3585	1	4	yes	—
1015	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
1016	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1017	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1018	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1019	C₂²×C₄	C₂×#585	1	4	yes	—
1020	C₂²×C₄	C₂×#585	1	4	yes	—
1021	C₄⋊C₄	C₂²×#120	1	8	yes	—
1022	C₄²	#2403	1	16	yes	—
1023	C₄²	#2403	1	16	yes	—
1024	C₄²	C₂²×#120	1	4	yes	—
1025	C₄²	C₂²×#120	1	4	yes	—
1026	C₄²	C₂×#534	1	4	yes	—
1027	C₄²	C₂×#534	1	4	yes	—
1028	C₄²	C₂×D₄²	1	8	yes	—
1029	C₄²	C₂×D₄²	1	8	yes	—
1030	C₂³	#34632	1	4	yes	—
1031	C₂³	C₂×#2403	1	4	yes	—
1032	C₂³	C₂×#3003	1	4	yes	—
1033	C₂³	C₂×#3006	1	4	yes	—
1034	C₂³	C₂×#3006	1	4	yes	—
1035	C₂³	C₂×#3006	1	4	yes	—
1036	C₂³	#60369	1	4	yes	—
1037	C₂³	#60962	1	8	yes	—
1038	C₂³	#60968	1	8	yes	—
1039	C₂³	D₄×AGL(1,ℤ/8)	1	8	yes	—
1040	C₂³	#61066	1	8	yes	—
1041	C₂³	C₂³×#120	1	1	yes	characteristic
1042	C₂³	C₂×#3449	1	2	yes	—
1043	C₂³	C₂²×D₄²	1	2	yes	—
1044	C₂³	#62811	1	2	yes	—
1045	C₂³	C₂³×AGL(1,ℤ/8)	1	1	yes	characteristic
1046	C₂³	C₂³×AGL(1,ℤ/8)	1	2	yes	—
1047	C₂³	C₂²×#575	1	1	yes	characteristic
1048	C₂³	C₂×#3585	1	2	yes	—
1049	C₂³	C₂×#3585	1	2	yes	—
1050	C₂×C₄	#34632	1	4	yes	—
1051	C₂×C₄	C₂×#2403	1	4	yes	—
1052	C₂×C₄	C₂×#2403	1	4	yes	—
1053	C₂×C₄	C₂×#2403	1	4	yes	—
1054	C₂×C₄	C₂×#2403	1	4	yes	—
1055	C₂×C₄	C₂×#2403	1	4	yes	—
1056	C₂×C₄	C₂×#3003	1	4	yes	—
1057	C₂×C₄	C₂×#3003	1	4	yes	—
1058	C₂×C₄	#60367	1	4	yes	—
1059	C₂×C₄	D₄×AGL(1,ℤ/8)	1	16	yes	—
1060	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1061	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1062	C₂×C₄	C₂×#3449	1	2	yes	—
1063	C₂×C₄	C₂×#3449	1	2	yes	—
1064	C₂×C₄	C₂×#3449	1	2	yes	—
1065	C₂×C₄	C₂²×D₄²	1	2	yes	—
1066	C₂×C₄	#62729	1	8	yes	—
1067	C₂×C₄	#62811	1	8	yes	—
1068	C₂×C₄	#62811	1	2	yes	—
1069	C₂²	#6436538	1	8	yes	complemented
1070	C₂²	#6437518	1	8	yes	—
1071	C₂²	C₂×#34632	1	1	yes	characteristic
1072	C₂²	C₂²×#2403	1	1	yes	characteristic
1073	C₂²	#7628649	1	1	yes	characteristic
1074	C₂²	#7635131	1	4	yes	—
1075	C₂²	C₂²×#3003	1	1	yes	characteristic
1076	C₂²	C₂²×#3006	1	1	yes	characteristic
1077	C₂²	C₂×#60367	1	1	yes	characteristic
1078	C₂²	C₂×#60369	1	1	yes	characteristic
1079	C₂²	C₂×#60962	1	2	yes	—
1080	C₂²	C₂×#60968	1	2	yes	—
1081	C₂²	#10575913	1	4	yes	—
1082	C₂²	C₂×D₄×AGL(1,ℤ/8)	1	2	yes	—
1083	C₂²	C₂×D₄×AGL(1,ℤ/8)	1	4	yes	—
1084	C₂²	C₂×#61066	1	2	yes	—
1085	C₂²	#10580317	1	2	yes	—
1086	C₂²	#10580321	1	2	yes	—
1087	C₂²	#10580347	1	4	yes	—
1088	C₄	#6437510	1	8	yes	—
1089	C₄	#7628649	1	2	yes	—
1090	C₄	#7633760	1	2	yes	—
1091	C₄	#7635131	1	4	yes	—
1092	C₂	C₂×#6437510	1	1	yes	characteristic
1093	C₂	#72257668	1	1	yes	characteristic
1094	C₂	C₂×#6437518	1	1	yes	characteristic
1095	C₂	#72280764	1	4	yes	—
1096	C₂	#72280773	1	4	yes	—
1097	C₂	C₂×#6436538	1	1	yes	characteristic
1098	C₂	#72304713	1	1	yes	characteristic
1099	C₂	#72304737	1	1	yes	characteristic
1100	C₂	#72304772	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁴×D₄
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄²×D₄ ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72305070	C₂	semidirect
2. #72305069	C₂	semidirect
3. #72305067	C₂	semidirect
4. #72305065	C₂	semidirect
5. #72305063	C₂	semidirect
6. #72305046	C₂	semidirect
7. #72305037	C₂	semidirect
8. #72305006	C₂	semidirect
9. #72304982	C₂	semidirect
10. #72304946	C₂	semidirect
11. #72304945	C₂	semidirect
12. #72304941	C₂	semidirect
13. #72304939	C₂	semidirect
14. #72304926	C₂	semidirect
15. #72304902	C₂	semidirect
16. #72304892	C₂	semidirect
17. #72304891	C₂	semidirect
18. C₂×#6436538	C₂	semidirect
19. #72302955	C₂	semidirect
20. C₂²×#34681	C₂	semidirect
21. C₂³×#3109	C₂	semidirect
22. C₂×#6453737	C₂	semidirect
23. #72264114	C₂	semidirect
24. #72237135	C₂	semidirect
26. C₂³×#532	C₂²	semidirect
32. C₂²×#3109	C₂²	semidirect
33. C₂²×#3109	C₂²	semidirect
34. C₂²×#3109	C₂²	semidirect
36. C₂³×#476	C₂²	semidirect
37. C₂³×#459	C₂²	semidirect
39. C₂³×#442	C₂²	semidirect
41. C₂×#36624	C₂²	semidirect
44. C₂×#34681	C₂²	semidirect
45. C₂×#34681	C₂²	semidirect
46. C₂²×#2452	C₂²	semidirect
47. C₂²×#2445	C₂²	semidirect
48. C₂²×#2428	C₂²	semidirect
49. C₂²×#2422	C₂²	semidirect
54. C₂²×C₄×#127	C₂²	semidirect
56. C₂²×C₄×#121	C₂²	semidirect
57. C₂²×#2293	C₂²	semidirect
59. C₂×#24061	C₂²	semidirect
60. C₂×#23930	C₂²	semidirect
61. C₂×#24152	C₂²	semidirect
62. C₂×#24299	C₂²	semidirect
63. C₂×#24208	C₂²	semidirect
66. C₂×#29690	C₂²	semidirect
67. C₂×#29660	C₂²	semidirect
68. C₂×#29639	C₂²	semidirect
69. C₂×#29622	C₂²	semidirect
70. C₂×#29594	C₂²	semidirect
71. C₂×#29594	C₂²	semidirect
72. C₂×#23573	C₂²	semidirect
73. C₂×#23573	C₂²	semidirect
74. C₂×#21452	C₂²	semidirect
75. C₂×#21395	C₂²	semidirect
76. C₂×#20738	C₂²	semidirect
77. C₂×#20738	C₂²	semidirect
78. C₂×#20738	C₂²	semidirect
80. C₂×#20715	C₂²	semidirect
81. #616154	C₂²	semidirect
82. #616153	C₂²	semidirect
83. #616152	C₂²	semidirect
85. #614416	C₂²	semidirect
86. #613956	C₂²	semidirect
88. #608360	C₂²	semidirect
89. #607620	C₂²	semidirect
91. C₄×#2408	C₂²	semidirect
92. #454548	C₂²	semidirect
93. #454501	C₂²	semidirect
94. #454473	C₂²	semidirect
95. #454408	C₂²	semidirect
96. #454326	C₂²	semidirect
97. #454278	C₂²	semidirect
98. #454235	C₂²	semidirect
99. #454203	C₂²	semidirect
100. #454157	C₂²	semidirect
101. #454114	C₂²	semidirect
102. #454067	C₂²	semidirect
103. #454013	C₂²	semidirect
104. #414626	C₂²	semidirect
105. #414600	C₂²	semidirect
106. #411630	C₂²	semidirect
107. #411590	C₂²	semidirect
108. #410011	C₂²	semidirect
109. #409942	C₂²	semidirect
110. #405243	C₂²	semidirect
111. #405243	C₂²	semidirect
112. #405169	C₂²	semidirect
113. #405117	C₂²	semidirect
114. #395348	C₂²	semidirect
115. #395208	C₂²	semidirect
116. #395044	C₂²	semidirect
117. #394925	C₂²	semidirect
118. #394861	C₂²	semidirect
119. #394763	C₂²	semidirect
120. #394564	C₂²	semidirect
121. #394521	C₂²	semidirect
122. #394425	C₂²	semidirect
123. #394213	C₂²	semidirect
124. #394002	C₂²	semidirect
125. #393946	C₂²	semidirect
126. #393940	C₂²	semidirect
127. #393881	C₂²	semidirect
128. #392268	C₂²	semidirect
129. #392268	C₂²	semidirect
131. #392157	C₂²	semidirect
132. #392157	C₂²	semidirect
134. #380074	C₂²	semidirect
135. #379993	C₂²	semidirect
136. #379904	C₂²	semidirect
137. #379904	C₂²	semidirect
138. #379791	C₂²	semidirect
139. #379791	C₂²	semidirect
140. #360168	C₂²	semidirect
141. #360084	C₂²	semidirect
142. #360079	C₂²	semidirect
143. #359992	C₂²	semidirect
144. #359985	C₂²	semidirect
145. #359909	C₂²	semidirect
148. #359775	C₂²	semidirect
149. #359691	C₂²	semidirect
152. #359042	C₂²	semidirect
153. #359004	C₂²	semidirect
154. #358196	C₂²	semidirect
155. #358171	C₂²	semidirect
156. #358115	C₂²	semidirect
157. #354808	C₂²	semidirect
158. #354808	C₂²	semidirect
159. #354203	C₂²	semidirect
160. #354188	C₂²	semidirect
161. #353811	C₂²	semidirect
162. #353760	C₂²	semidirect
183. C₂³×C₄×D₄	D₄	semidirect
198. C₂×#3109	D₄	semidirect
207. C₂²×#476	C₂³	semidirect
212. C₂²×#459	C₂³	semidirect
222. C₂²×#442	C₂³	semidirect
234. C₂×#2857	C₂³	semidirect
235. C₂×#2856	C₂³	semidirect
257. C₂×C₄×#121	D₄	semidirect
264. C₂×C₄×#121	C₂³	semidirect
300. C₂×#2058	C₂³	semidirect
301. C₂×#2058	C₂³	semidirect
303. C₂×#2041	C₂³	semidirect
306. C₂×#2034	C₂³	semidirect
307. C₂×#2023	C₂³	semidirect
308. C₂×#2023	C₂³	semidirect
311. C₂×#2011	C₂³	semidirect
315. C₂×#1999	C₂³	semidirect
316. C₂×#1987	C₂³	semidirect
317. C₂×#1982	C₂³	semidirect
319. C₂×#1879	C₂³	semidirect
324. C₂×#1864	C₂³	semidirect
333. C₂×#1802	C₂³	semidirect
336. C₂×#1797	C₂³	semidirect
347. C₂×#1762	C₂³	semidirect
348. C₂×#1762	C₂³	semidirect
351. C₂×#1749	C₂³	semidirect
352. #15128	C₂³	semidirect
353. #15127	C₂³	semidirect
355. #15125	C₂³	semidirect
356. #15124	C₂³	semidirect
358. #14714	C₂³	semidirect
359. #14713	C₂³	semidirect
367. #14018	C₂³	semidirect
368. #13970	C₂³	semidirect
373. C₄×#390	C₂³	semidirect
374. #11327	C₂³	semidirect
375. #11323	C₂³	semidirect
376. #11227	C₂³	semidirect
377. #11220	C₂³	semidirect
378. #11220	C₂³	semidirect
379. #11202	C₂³	semidirect
385. #11121	C₂³	semidirect
386. #11095	C₂³	semidirect
387. #11076	C₂³	semidirect
389. #11066	C₂³	semidirect
390. #11066	C₂³	semidirect
391. #11066	C₂³	semidirect
392. #11049	C₂³	semidirect
393. #11042	C₂³	semidirect
398. #11022	C₂³	semidirect
402. #10969	C₂³	semidirect
404. #10927	C₂³	semidirect
405. #10922	C₂³	semidirect
406. #10881	C₂³	semidirect
407. #10875	C₂³	semidirect
408. #10849	C₂³	semidirect
409. #10832	C₂³	semidirect
422. #10703	C₂³	semidirect
423. #10693	C₂³	semidirect
539. C₂×#476	C₂×D₄	semidirect
540. C₂×#459	C₂×D₄	semidirect
542. C₂×#442	C₂×D₄	semidirect
725. C₂×C₄×D₄	#120	semidirect
1069. C₂²	#6436538	semidirect

Maximal subgroups

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

subgroup	index
#72305070	2
#72305069	2
#72305067	2
#72305065	2
#72305063	2
#72305046	2
#72305037	2
#72305006	2
#72304982	2
#72304946	2
#72304945	2
#72304941	2
#72304939	2
#72304926	2
#72304902	2
#72304892	2
#72304891	2
C₂×#6436538	2
#72302955	2
C₂²×#34681	2
C₂³×#3109	2
C₂×#6453737	2
#72264114	2
#72237135	2