Subgroups — #72313819

Order 2048.

At least 16410 conjugacy classes of subgroups; only the 2500 normal subgroups are shown.

The subgroup lattice has 1499 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72313812	C₂	1	1	yes	maximal, characteristic, complemented
2	#72313809	C₂	1	1	yes	maximal, characteristic, complemented
3	#72313804	C₂	1	4	yes	maximal, complemented
4	#72313799	C₂	1	4	yes	maximal, complemented
5	#72313795	C₂	1	1	yes	maximal, characteristic, complemented
6	#72313787	C₂	1	1	yes	maximal, characteristic, complemented
7	#72313773	C₂	1	1	yes	maximal, characteristic, complemented
8	#72313764	C₂	1	4	yes	maximal, complemented
9	#72313757	C₂	1	4	yes	maximal, complemented
10	#72310560	C₂	1	1	yes	maximal, characteristic, complemented
11	#72310551	C₂	1	1	yes	maximal, characteristic, complemented
12	#72310546	C₂	1	1	yes	maximal, characteristic, complemented
13	#72280302	C₂	1	1	yes	maximal, characteristic, complemented
14	#72279821	C₂	1	1	yes	maximal, characteristic, complemented
15	#72257828	C₂	1	1	yes	maximal, characteristic, complemented
16	#72242442	C₂	1	1	yes	maximal, characteristic
17	#72240775	C₂	1	1	yes	maximal, characteristic, complemented
18	#72216098	C₂	1	1	yes	maximal, characteristic, complemented
19	#72216093	C₂	1	1	yes	maximal, characteristic, complemented
20	#10585995	C₂²	1	1	yes	characteristic
21	C₂×#62773	C₂²	1	1	yes	characteristic
22	#10576727	C₄	1	1	yes	characteristic, complemented
23	#10576648	C₄	1	1	yes	characteristic, complemented
24	#10576640	C₂²	1	2	yes	—
25	#10576521	C₄	1	1	yes	characteristic, complemented
26	#10576519	C₄	1	1	yes	characteristic, complemented
27	#10576401	C₄	1	1	yes	characteristic, complemented
28	#10576398	C₄	1	1	yes	characteristic, complemented
29	#10576382	C₂²	1	2	yes	—
30	#10576378	C₂²	1	2	yes	—
31	#10576231	C₄	1	1	yes	characteristic, complemented
32	#10576114	C₄	1	1	yes	characteristic, complemented
33	#10576108	C₂²	1	2	yes	—
34	#10575356	C₄	1	2	yes	complemented
35	#10575323	C₂²	1	1	yes	characteristic
36	#10575140	C₄	1	2	yes	complemented
37	#10575138	C₄	1	2	yes	complemented
38	#10575094	C₂²	1	1	yes	characteristic
39	C₂×#60558	C₂²	1	1	yes	characteristic
40	#10574252	C₂²	1	1	yes	characteristic
41	C₄×#3585	C₄	1	2	yes	complemented
42	C₂²×C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
43	#7625417	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×#117	C₂²	1	1	yes	characteristic, complemented
45	#6393525	C₂²	1	4	yes	complemented
46	#6393523	C₂²	1	4	yes	complemented
47	#6374474	C₂²	1	1	yes	characteristic
48	#6374474	C₂²	1	1	yes	characteristic
49	#6374474	C₂²	1	1	yes	characteristic, complemented
50	#6374474	C₂²	1	1	yes	characteristic, complemented
51	#6372481	C₂²	1	1	yes	characteristic
52	#6372481	C₂²	1	1	yes	characteristic, complemented
53	#6372481	C₂²	1	1	yes	characteristic, complemented
54	#6370997	C₂²	1	1	yes	characteristic, complemented
55	#6370977	C₂²	1	1	yes	characteristic, complemented
56	C₂×#20738	C₂²	1	1	yes	characteristic, complemented
57	C₂×#20743	C₂²	1	1	yes	characteristic, complemented
58	#6370937	C₂²	1	1	yes	characteristic, complemented
59	#6343381	C₂²	1	1	yes	characteristic, complemented
60	#6343381	C₂²	1	1	yes	characteristic, complemented
61	#6343376	C₂²	1	1	yes	characteristic, complemented
62	#6343376	C₂²	1	1	yes	characteristic, complemented
63	#6342642	C₂²	1	1	yes	characteristic
64	#514212	C₂²	1	1	yes	characteristic, complemented
65	#359961	C₂²	1	2	yes	complemented
66	#359943	C₂²	1	2	yes	complemented
67	#359855	C₂²	1	2	yes	complemented
68	#359835	C₂²	1	2	yes	complemented
69	#359748	C₂²	1	2	yes	complemented
70	#359729	C₂²	1	2	yes	complemented
71	#359493	C₂²	1	2	yes	—
72	#359472	C₂²	1	2	yes	—
73	#353804	C₂²	1	1	yes	characteristic, complemented
74	#353789	C₂²	1	1	yes	characteristic, complemented
75	#353776	C₂²	1	1	yes	characteristic, complemented
76	#353772	C₂²	1	1	yes	characteristic, complemented
77	#198435	C₂²	1	4	yes	complemented
78	#198432	C₂²	1	4	yes	complemented
79	#198405	C₂²	1	4	yes	complemented
80	#198404	C₂²	1	4	yes	complemented
81	#187932	C₂²	1	4	yes	complemented
82	#187931	C₂²	1	4	yes	complemented
83	#187010	C₂²	1	4	yes	complemented
84	#187009	C₂²	1	4	yes	complemented
85	#185687	C₂²	1	4	yes	complemented
86	#185683	C₂²	1	4	yes	complemented
87	#181481	C₂²	1	1	yes	characteristic, complemented
88	#181240	C₂²	1	1	yes	characteristic, complemented
89	#181240	C₂²	1	1	yes	characteristic, complemented
90	#181085	C₂²	1	1	yes	characteristic, complemented
91	#114934	C₂²	1	4	yes	complemented
92	#114933	C₂²	1	4	yes	complemented
93	#114805	C₂²	1	4	yes	complemented
94	#114804	C₂²	1	4	yes	complemented
95	#111456	C₂²	1	4	yes	complemented
96	#111456	C₂²	1	4	yes	complemented
97	#111436	C₂²	1	4	yes	complemented
98	#111436	C₂²	1	4	yes	complemented
99	#106102	C₂²	1	4	yes	complemented
100	#106102	C₂²	1	4	yes	complemented
101	#106084	C₂²	1	4	yes	complemented
102	#106084	C₂²	1	4	yes	complemented
103	C₂×#3585	C₂×C₄	1	2	yes	—
104	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
105	#62815	C₂×C₄	1	1	yes	characteristic, complemented
106	#62815	C₂×C₄	1	1	yes	characteristic, complemented
107	#62814	C₂³	1	2	yes	—
108	#62813	C₂×C₄	1	1	yes	characteristic, complemented
109	#62812	C₂×C₄	1	1	yes	characteristic, complemented
110	#62811	C₂³	1	2	yes	—
111	C₂×#3520	D₄	1	2	yes	—
112	C₂×#3519	D₄	1	2	yes	—
113	C₂×#3513	D₄	1	4	yes	—
114	C₂×#3506	C₂×C₄	1	1	yes	characteristic
115	C₂×#3506	C₂×C₄	1	1	yes	characteristic
116	C₂×#3492	C₂³	1	2	yes	—
117	C₂×#3501	C₂×C₄	1	1	yes	characteristic
118	C₂×#3496	C₂×C₄	1	1	yes	characteristic
119	C₂×#3484	C₂³	1	2	yes	—
120	C₂×#3481	D₄	1	4	yes	—
121	C₂×#3475	D₄	1	2	yes	—
122	C₂×D₄×#41	D₄	1	2	yes	—
123	#62686	C₂×C₄	1	2	yes	complemented
124	C₂×#3460	C₂×C₄	1	2	yes	—
125	C₂×#3444	C₂³	1	1	yes	characteristic
126	C₂×#3444	C₂³	1	1	yes	characteristic
127	C₂×#3444	C₂³	1	1	yes	characteristic
128	C₄×#585	C₂×C₄	1	2	yes	complemented
129	C₂×C₄×H(5,𝔽₂)	C₂×C₄	1	2	yes	—
130	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
131	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
132	#60664	C₂×C₄	1	2	yes	complemented
133	#60663	C₂×C₄	1	1	yes	characteristic, complemented
134	#60644	C₂×C₄	1	2	yes	—
135	#60639	C₂×C₄	1	1	yes	characteristic, complemented
136	#60621	C₂×C₄	1	2	yes	complemented
137	#60619	C₂×C₄	1	2	yes	—
138	#60618	C₂×C₄	1	1	yes	characteristic, complemented
139	#60618	C₂×C₄	1	1	yes	characteristic, complemented
140	C₂×#3110	D₄	1	2	yes	—
141	C₂×#3109	D₄	1	2	yes	—
142	C₂×#3114	D₄	1	4	yes	—
143	C₂×#3105	D₄	1	4	yes	—
144	C₂×#3101	D₄	1	2	yes	—
145	C₂×#3100	D₄	1	2	yes	—
146	#60520	C₂×C₄	1	2	yes	complemented
147	#60518	C₂×C₄	1	2	yes	—
148	#60517	C₂×C₄	1	2	yes	complemented
149	#60517	C₂×C₄	1	2	yes	complemented
150	#60511	C₂³	1	2	yes	—
151	C₂×#3092	C₂³	1	2	yes	—
152	#60493	C₂×C₄	1	2	yes	complemented
153	#60493	C₂×C₄	1	2	yes	complemented
154	#60492	C₂×C₄	1	2	yes	complemented
155	#60490	C₂×C₄	1	2	yes	—
156	#60484	C₂×C₄	1	1	yes	characteristic, complemented
157	#60484	C₂×C₄	1	1	yes	characteristic, complemented
158	C₂×#3077	C₂×C₄	1	1	yes	characteristic
159	C₂×#3077	C₂×C₄	1	1	yes	characteristic
160	#60456	C₂×C₄	1	2	yes	complemented
161	#60456	C₂×C₄	1	2	yes	complemented
162	#60454	C₂×C₄	1	2	yes	—
163	#60454	C₂×C₄	1	2	yes	—
164	#60444	C₂³	1	2	yes	—
165	#60444	C₂³	1	2	yes	—
166	#60426	C₂×C₄	1	2	yes	—
167	#60426	C₂×C₄	1	2	yes	—
168	#60425	C₂×C₄	1	2	yes	complemented
169	#60423	C₂×C₄	1	2	yes	—
170	#60415	C₂×C₄	1	1	yes	characteristic, complemented
171	#60415	C₂×C₄	1	1	yes	characteristic, complemented
172	C₂×#3036	C₂×C₄	1	1	yes	characteristic
173	C₂×#3036	C₂×C₄	1	1	yes	characteristic
174	#60371	C₂×C₄	1	2	yes	complemented
175	#60369	C₂×C₄	1	2	yes	—
176	#60367	C₂×C₄	1	2	yes	—
177	#60367	C₂×C₄	1	2	yes	—
178	#60359	C₂³	1	2	yes	—
179	C₂×#3003	C₂³	1	2	yes	—
180	#60192	C₂×C₄	1	1	yes	characteristic, complemented
181	#60192	C₂×C₄	1	1	yes	characteristic, complemented
182	#60170	C₂×C₄	1	2	yes	complemented
183	#60170	C₂×C₄	1	2	yes	complemented
184	#60168	C₂×C₄	1	2	yes	—
185	#60168	C₂×C₄	1	2	yes	—
186	C₄×#575	C₂×C₄	1	2	yes	complemented
187	C₄×#575	C₂×C₄	1	2	yes	complemented
188	C₄×#575	C₂×C₄	1	2	yes	complemented
189	C₄×#575	C₂×C₄	1	2	yes	complemented
190	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
191	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
192	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
193	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
194	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
195	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
196	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
197	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
198	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	2	yes	—
199	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	2	yes	—
200	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
201	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
202	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
203	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
204	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
205	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
206	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
207	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
208	C₂²×#442	D₄	1	1	yes	characteristic
209	C₂²×#442	D₄	1	1	yes	characteristic
210	C₂²×#440	D₄	1	1	yes	characteristic
211	C₂²×#440	D₄	1	1	yes	characteristic
212	C₂²×C₄×SD₁₆	D₄	1	1	yes	characteristic
213	C₂²×C₄×SD₁₆	D₄	1	1	yes	characteristic
214	C₂²×C₄×D₈	D₄	1	1	yes	characteristic
215	C₂²×C₄×D₈	D₄	1	1	yes	characteristic
216	#60144	C₂×C₄	1	1	yes	characteristic, complemented
217	#60144	C₂×C₄	1	1	yes	characteristic, complemented
218	#60141	C₂³	1	2	yes	—
219	#60141	C₂³	1	2	yes	—
220	#60123	C₂×C₄	1	2	yes	complemented
221	C₂×#2920	C₂³	1	1	yes	characteristic
222	C₂×#2920	C₂³	1	1	yes	characteristic
223	C₂²×#432	C₂³	1	1	yes	characteristic
224	#60109	C₂×C₄	1	2	yes	complemented
225	C₂²×#428	C₂³	1	1	yes	characteristic
226	#60089	C₂×C₄	1	2	yes	complemented
227	#60087	C₂×C₄	1	2	yes	—
228	C₂²×#417	C₂³	1	1	yes	characteristic
229	C₂²×#418	C₂³	1	1	yes	characteristic
230	C₄×#568	C₂×C₄	1	2	yes	complemented
231	C₂²×C₄×M₁₆	C₂³	1	1	yes	characteristic
232	#34178	C₂³	1	2	yes	—
233	#34171	C₂³	1	2	yes	—
234	C₂×#2344	C₂³	1	2	yes	—
235	C₂×D₄×C₂²⋊C₄	C₂³	1	2	yes	—
236	#34012	C₂³	1	1	yes	characteristic
237	#34012	C₂³	1	1	yes	characteristic
238	#34012	C₂³	1	1	yes	characteristic
239	C₂×#2285	C₂³	1	1	yes	characteristic
240	C₂×#2285	C₂³	1	1	yes	characteristic
241	C₂×C₄×#117	C₂³	1	1	yes	characteristic
242	#21875	D₄	1	4	yes	—
243	#21874	C₂³	1	4	yes	—
244	#21874	C₂³	1	4	yes	—
245	#21874	C₂³	1	4	yes	—
246	#21874	C₂³	1	4	yes	—
247	#21420	D₄	1	4	yes	—
248	#21420	C₂³	1	4	yes	—
249	#21420	C₂³	1	4	yes	—
250	#21420	C₂³	1	4	yes	—
251	#21332	D₄	1	2	yes	—
252	#21212	D₄	1	2	yes	—
253	#20983	D₄	1	2	yes	—
254	#20983	D₄	1	2	yes	—
255	#20705	C₂³	1	2	yes	—
256	#20700	C₂³	1	2	yes	—
257	C₂×#1824	C₂³	1	2	yes	—
258	C₂×#1825	C₂³	1	2	yes	—
259	#20688	C₂³	1	2	yes	—
260	#20605	C₂³	1	2	yes	—
261	#20598	C₂³	1	2	yes	—
262	C₂×#1788	C₂³	1	2	yes	—
263	C₂×#1786	C₂³	1	2	yes	—
264	#20584	C₂³	1	2	yes	—
265	#17592	C₂³	1	4	yes	—
266	#17592	C₂³	1	4	yes	—
267	#17572	C₂³	1	4	yes	—
268	#17572	C₂³	1	4	yes	—
269	#17381	C₂³	1	4	yes	—
270	#13939	C₂³	1	2	yes	—
271	#13937	C₂³	1	2	yes	—
272	#10729	C₂³	1	2	yes	—
273	#10729	C₂³	1	2	yes	—
274	#10722	C₂³	1	2	yes	—
275	#10722	C₂³	1	2	yes	—
276	#10717	C₂³	1	2	yes	—
277	#10717	C₂³	1	2	yes	—
278	#10715	C₂³	1	2	yes	—
279	#10715	C₂³	1	2	yes	—
280	#7983	C₂³	1	4	yes	—
281	#7983	C₂³	1	4	yes	—
282	#7929	C₂³	1	4	yes	—
283	#7925	C₂³	1	4	yes	—
284	C₂×#585	C₂²×C₄	1	2	yes	—
285	C₂²×H(5,𝔽₂)	C₂²×C₄	1	2	yes	—
286	C₂³×#41	C₂⁴	1	1	yes	characteristic
287	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
288	C₂×#575	C₂²×C₄	1	2	yes	—
289	C₂×#575	C₂²×C₄	1	2	yes	—
290	C₂×#575	C₂²×C₄	1	2	yes	—
291	C₂×#575	C₂²×C₄	1	2	yes	—
292	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	1	yes	characteristic
293	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	1	yes	characteristic
294	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	—
295	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	1	yes	characteristic
296	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	1	yes	characteristic
297	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	—
298	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
299	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
300	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
301	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
302	C₂³×SD₁₆	C₂×D₄	1	1	yes	characteristic
303	C₂³×SD₁₆	C₂×D₄	1	1	yes	characteristic
304	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
305	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
306	C₂×#568	C₂²×C₄	1	2	yes	—
307	C₂×#568	C₂²×C₄	1	2	yes	—
308	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
309	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
310	C₂×#559	C₂²⋊C₄	1	4	yes	complemented
311	C₂×#556	C₂²⋊C₄	1	2	yes	complemented
312	C₂×#555	C₂²⋊C₄	1	2	yes	complemented
313	C₂×#554	C₂²⋊C₄	1	4	yes	complemented
314	C₂×#554	C₂²⋊C₄	1	2	yes	complemented
315	C₂×#554	C₂×D₄	1	4	yes	—
316	C₂×#553	C₂²⋊C₄	1	4	yes	complemented
317	C₂×#553	C₂×D₄	1	4	yes	—
318	C₂×#552	C₂×D₄	1	4	yes	—
319	C₂×#550	C₂²⋊C₄	1	2	yes	complemented
320	C₂×D₄×Q₈	C₂²⋊C₄	1	2	yes	complemented
321	C₂×#547	C₂²⋊C₄	1	2	yes	complemented
322	C₂×#547	C₂²⋊C₄	1	2	yes	complemented
323	C₂×#547	C₂×D₄	1	4	yes	—
324	C₂×#546	C₂²⋊C₄	1	4	yes	complemented
325	C₂×#546	C₂×D₄	1	4	yes	—
326	C₂×#546	C₂×D₄	1	4	yes	—
327	C₂×D₄²	C₂²⋊C₄	1	2	yes	complemented
328	C₂×D₄²	C₂×D₄	1	4	yes	—
329	C₂×D₄²	C₂×D₄	1	4	yes	—
330	#3458	C₂²×C₄	1	2	yes	—
331	C₂×#544	C₂²×C₄	1	2	yes	—
332	C₂×#542	C₂²⋊C₄	1	4	yes	complemented
333	C₂×#540	C₂²⋊C₄	1	4	yes	complemented
334	#3449	C₂²×C₄	1	2	yes	—
335	#3449	C₂²×C₄	1	2	yes	—
336	#3449	C₂²×C₄	1	2	yes	—
337	C₂×#537	C₂²×C₄	1	2	yes	—
338	C₂×#535	C₂²×C₄	1	2	yes	—
339	C₂×#535	C₂²×C₄	1	2	yes	—
340	C₂×#533	C₂²×C₄	1	1	yes	characteristic
341	C₂×#533	C₂²×C₄	1	1	yes	characteristic
342	C₂×#533	C₂²×C₄	1	1	yes	characteristic
343	C₂×#533	C₂×D₄	1	1	yes	characteristic
344	C₂×#533	C₂×D₄	1	1	yes	characteristic
345	C₂×#533	C₂×D₄	1	1	yes	characteristic
346	C₂×#533	C₂×D₄	1	1	yes	characteristic
347	C₂×#533	C₂×D₄	1	1	yes	characteristic
348	C₂×#533	#41	1	1	yes	characteristic
349	C₂×#532	C₂²⋊C₄	1	4	yes	complemented
350	C₂×#532	C₂²×C₄	1	1	yes	characteristic
351	C₂×#532	C₂²×C₄	1	1	yes	characteristic
352	C₂×#532	C₂²×C₄	1	1	yes	characteristic
353	C₂×#532	C₂×D₄	1	1	yes	characteristic
354	C₂×#532	C₂×D₄	1	1	yes	characteristic
355	C₂×#532	C₂×D₄	1	1	yes	characteristic
356	C₂×#532	C₂×D₄	1	1	yes	characteristic
357	C₂×#532	C₂×D₄	1	1	yes	characteristic
358	C₂×#532	#41	1	1	yes	characteristic
359	C₂×#529	C₂²⋊C₄	1	4	yes	complemented
360	C₂×#529	C₂×D₄	1	2	yes	—
361	C₂×#529	C₂×D₄	1	2	yes	—
362	C₂×#529	C₂×D₄	1	2	yes	—
363	C₂×#529	C₂×D₄	1	2	yes	—
364	C₂×#529	C₂×D₄	1	2	yes	—
365	C₂×#529	C₂×D₄	1	2	yes	—
366	C₂×#529	C₂×D₄	1	2	yes	—
367	C₂×#529	#41	1	2	yes	—
368	C₂×#529	#41	1	2	yes	—
369	C₂×#529	#41	1	2	yes	—
370	C₂×#525	C₂×D₄	1	2	yes	—
371	C₂×#525	C₂×D₄	1	2	yes	—
372	C₂×#525	C₂⁴	1	2	yes	—
373	C₂×#525	C₂⁴	1	2	yes	—
374	C₂×#525	C₂⁴	1	2	yes	—
375	#3428	C₂²×C₄	1	2	yes	—
376	#3428	C₂²×C₄	1	2	yes	—
377	#3428	C₂²×C₄	1	2	yes	—
378	C₂×#520	C₂²⋊C₄	1	4	yes	complemented
379	C₂×#520	C₂²×C₄	1	2	yes	—
380	C₂×#520	C₂²×C₄	1	2	yes	—
381	C₂×#518	C₂²⋊C₄	1	4	yes	complemented
382	C₂×#518	C₂²×C₄	1	2	yes	—
383	C₂×C₄×#41	C₂²⋊C₄	1	4	yes	complemented
384	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic
385	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic
386	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic
387	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic
388	C₂×C₄×#41	C₂²×C₄	1	2	yes	—
389	C₂×C₄×#41	C₂²×C₄	1	2	yes	—
390	C₂×C₄×#41	C₂²×C₄	1	2	yes	—
391	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
392	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
393	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
394	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
395	C₂×C₄×#41	C₂×D₄	1	2	yes	—
396	C₂×C₄×#41	C₂×D₄	1	2	yes	—
397	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
398	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
399	C₂²×C₄×D₄	C₂²⋊C₄	1	4	yes	complemented
400	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
401	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
402	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
403	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
404	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
406	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
407	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
408	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
409	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
410	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
411	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
412	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
413	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
414	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
415	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
416	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
417	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
418	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
419	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
420	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
421	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
422	C₂²×#117	C₂×D₄	1	1	yes	characteristic
423	C₂²×#117	C₂×D₄	1	1	yes	characteristic
424	C₂²×#117	C₂⁴	1	1	yes	characteristic
425	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
426	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
427	C₂×#484	C₂×D₄	1	4	yes	—
428	C₂×#481	C₂×D₄	1	4	yes	—
429	C₂×#483	C₂×D₄	1	4	yes	—
430	C₂×#480	C₂×D₄	1	4	yes	—
431	C₂×#478	C₂²⋊C₄	1	4	yes	complemented
432	C₂×#478	C₂²⋊C₄	1	4	yes	complemented
433	C₂×#476	C₂²⋊C₄	1	2	yes	complemented
434	C₂×#476	C₂²⋊C₄	1	2	yes	complemented
435	C₂×#474	C₂²⋊C₄	1	2	yes	complemented
436	C₂×#474	C₂²⋊C₄	1	2	yes	complemented
437	C₂×#463	C₂²⋊C₄	1	4	yes	complemented
438	C₂×#463	C₂²⋊C₄	1	4	yes	complemented
439	C₂×#461	C₂²⋊C₄	1	2	yes	complemented
440	C₂×#461	C₂²⋊C₄	1	2	yes	complemented
441	C₂×#459	C₂²⋊C₄	1	2	yes	complemented
442	C₂×#459	C₂²⋊C₄	1	2	yes	complemented
443	C₂×#450	C₂×D₄	1	4	yes	—
444	C₂×#450	C₂×D₄	1	4	yes	—
445	C₂×#447	C₂×D₄	1	4	yes	—
446	C₂×#447	C₂×D₄	1	4	yes	—
447	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
448	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
449	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
450	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
451	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
452	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
453	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
454	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
455	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
456	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
457	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
458	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
459	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
460	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
461	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
462	C₂×#442	C₂²⋊C₄	1	1	yes	characteristic
463	C₂×#442	C₂²⋊C₄	1	4	yes	complemented
464	C₂×#442	C₂²⋊C₄	1	4	yes	complemented
465	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
466	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
467	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
468	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
469	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
470	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
471	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
472	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
473	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
474	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
475	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
476	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
477	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
478	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
479	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
480	C₂×#440	C₂²⋊C₄	1	1	yes	characteristic
481	C₂×#440	C₂²⋊C₄	1	4	yes	complemented
482	C₂×#440	C₂²⋊C₄	1	4	yes	complemented
483	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
484	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
485	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
486	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
487	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
488	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
489	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
490	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
491	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
492	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
493	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
494	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
495	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
496	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
497	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
498	C₂×C₄×SD₁₆	C₂²⋊C₄	1	1	yes	characteristic
499	C₂×C₄×SD₁₆	C₂²⋊C₄	1	4	yes	complemented
500	C₂×C₄×SD₁₆	C₂²⋊C₄	1	4	yes	complemented
501	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
502	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
503	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
504	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
505	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
506	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
507	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
508	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
509	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
510	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
511	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
512	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
513	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
514	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
515	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
516	C₂×C₄×D₈	C₂²⋊C₄	1	1	yes	characteristic
517	C₂×C₄×D₈	C₂²⋊C₄	1	4	yes	complemented
518	C₂×C₄×D₈	C₂²⋊C₄	1	4	yes	complemented
519	C₂×#432	C₂×D₄	1	2	yes	—
520	C₂×#432	C₂×D₄	1	2	yes	—
521	C₂×#431	C₂×D₄	1	2	yes	—
522	C₂×#431	C₂×D₄	1	2	yes	—
523	#2911	C₂²×C₄	1	2	yes	—
524	#2911	C₂²×C₄	1	2	yes	—
525	#2911	C₂²×C₄	1	2	yes	—
526	#2911	C₂²×C₄	1	2	yes	—
527	C₂×#428	C₂²×C₄	1	1	yes	characteristic
528	C₂×#428	C₂²×C₄	1	2	yes	—
529	C₂×#428	C₂²×C₄	1	1	yes	characteristic
530	C₂×#428	C₂²×C₄	1	2	yes	—
531	C₂×#428	C₂²×C₄	1	1	yes	characteristic
532	C₂×#428	C₂²×C₄	1	1	yes	characteristic
533	C₂×#428	C₂×D₄	1	1	yes	characteristic
534	C₂×#428	C₂×D₄	1	1	yes	characteristic
535	C₂×#428	C₂×D₄	1	1	yes	characteristic
536	C₂×#428	C₂×D₄	1	1	yes	characteristic
537	C₂²×#107	C₂×D₄	1	1	yes	characteristic
538	C₂²×#107	C₂×D₄	1	1	yes	characteristic
539	C₂²×#106	C₂×D₄	1	1	yes	characteristic
540	C₂²×#106	C₂×D₄	1	1	yes	characteristic
541	#2905	C₂²×C₄	1	2	yes	—
542	#2905	C₂²×C₄	1	2	yes	—
543	C₂×#423	C₂²×C₄	1	1	yes	characteristic
544	C₂×#423	C₂²×C₄	1	1	yes	characteristic
545	#2896	C₂²×C₄	1	2	yes	—
546	#2896	C₂²×C₄	1	2	yes	—
547	#2896	C₂²×C₄	1	2	yes	—
548	#2896	C₂²×C₄	1	2	yes	—
549	#2896	C₂²×C₄	1	2	yes	—
550	#2896	C₂²×C₄	1	2	yes	—
551	#2896	C₂²×C₄	1	2	yes	—
552	#2896	C₂²×C₄	1	2	yes	—
553	C₂×#417	C₂²×C₄	1	1	yes	characteristic
554	C₂×#417	C₂²×C₄	1	2	yes	—
555	C₂×#417	C₂²×C₄	1	1	yes	characteristic
556	C₂×#417	C₂²×C₄	1	1	yes	characteristic
557	C₂×#417	C₂²×C₄	1	2	yes	—
558	C₂×#417	C₂²×C₄	1	1	yes	characteristic
559	C₂×#417	C₂×D₄	1	1	yes	characteristic
560	C₂×#417	C₂×D₄	1	1	yes	characteristic
561	C₂×#417	C₂×D₄	1	1	yes	characteristic
562	C₂×#417	C₂×D₄	1	1	yes	characteristic
563	C₂×#418	C₂²×C₄	1	1	yes	characteristic
564	C₂×#418	C₂²×C₄	1	2	yes	—
565	C₂×#418	C₂²×C₄	1	1	yes	characteristic
566	C₂×#418	C₂²×C₄	1	2	yes	—
567	C₂×#418	C₂²×C₄	1	1	yes	characteristic
568	C₂×#418	C₂²×C₄	1	1	yes	characteristic
569	C₂×#418	C₂×D₄	1	1	yes	characteristic
570	C₂×#418	C₂×D₄	1	1	yes	characteristic
571	C₂×#418	C₂×D₄	1	1	yes	characteristic
572	C₂×#418	C₂×D₄	1	1	yes	characteristic
573	C₂²×#103	C₂×D₄	1	1	yes	characteristic
574	C₂²×#103	C₂×D₄	1	1	yes	characteristic
575	C₂²×#102	C₂×D₄	1	1	yes	characteristic
576	C₂²×#102	C₂×D₄	1	1	yes	characteristic
577	C₂²×#102	C₂×D₄	1	1	yes	characteristic
578	C₂²×#102	C₂×D₄	1	1	yes	characteristic
579	C₂²×#102	C₂×D₄	1	1	yes	characteristic
580	C₂²×#102	C₂×D₄	1	1	yes	characteristic
581	#2879	C₂²×C₄	1	2	yes	—
582	#2879	C₂²×C₄	1	2	yes	—
583	C₂×#407	C₂⁴	1	2	yes	—
584	C₂×#407	C₂⁴	1	2	yes	—
585	C₂²×C₂²⋊C₈	C₂⁴	1	2	yes	—
586	#2873	C₂²×C₄	1	2	yes	—
587	#2873	C₂²×C₄	1	2	yes	—
588	C₂×C₄×M₁₆	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×M₁₆	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄×M₁₆	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄×M₁₆	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄×M₁₆	C₂²×C₄	1	2	yes	—
593	C₂×C₄×M₁₆	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×M₁₆	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×M₁₆	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×M₁₆	C₂×D₄	1	1	yes	characteristic
597	C₂²×#97	C₂×D₄	1	1	yes	characteristic
598	C₂²×#97	C₂×D₄	1	1	yes	characteristic
599	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
600	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
601	#2285	C₂×D₄	1	2	yes	—
602	#2285	C₂×D₄	1	2	yes	—
603	#2283	C₂×D₄	1	2	yes	—
604	#2280	C₂×D₄	1	2	yes	—
605	#2280	C₂×D₄	1	2	yes	—
606	#2280	C₂⁴	1	2	yes	—
607	#2280	C₂⁴	1	2	yes	—
608	#2280	C₂⁴	1	2	yes	—
609	C₂×#380	C₂⁴	1	2	yes	—
610	C₂×#380	C₂⁴	1	2	yes	—
611	C₄×#117	C₂×D₄	1	2	yes	—
612	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
613	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
614	#1996	C₂×D₄	1	8	yes	—
615	#1964	C₂×D₄	1	8	yes	—
616	#1898	C₂×D₄	1	8	yes	—
617	#1898	C₂×D₄	1	8	yes	—
618	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
619	C₂²×#41	#120	1	2	yes	—
620	C₂²×#41	#121	1	2	yes	—
621	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
622	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
623	C₂²×#41	C₂³×C₄	1	2	yes	—
624	C₂²×#41	C₂³×C₄	1	2	yes	—
625	C₂²×#41	C₂³×C₄	1	2	yes	—
626	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
627	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
628	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
629	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
630	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
631	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
632	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
633	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
634	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
635	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
636	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
637	C₂³×D₄	C₂²×D₄	1	2	yes	—
638	C₂³×D₄	C₂²×D₄	1	2	yes	—
639	C₂³×D₄	C₂²×D₄	1	2	yes	—
640	C₂³×D₄	C₂²×D₄	1	2	yes	—
641	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
642	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
643	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
644	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
645	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
646	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
647	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
648	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
649	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
650	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
651	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
652	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
653	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
654	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
655	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
656	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
657	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
658	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
659	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
660	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
661	C₂²×D₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
662	C₂²×D₈	C₂×C₂²⋊C₄	1	4	yes	—
663	C₂²×D₈	C₂×C₂²⋊C₄	1	4	yes	—
664	C₂²×M₁₆	C₂³×C₄	1	1	yes	characteristic
665	C₂²×M₁₆	C₂³×C₄	1	1	yes	characteristic
666	C₂²×M₁₆	C₂³×C₄	1	1	yes	characteristic
667	C₂²×M₁₆	C₂³×C₄	1	1	yes	characteristic
668	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
669	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
670	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
671	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
672	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
673	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
674	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
675	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
676	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
677	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
678	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
679	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
680	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
681	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
682	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
683	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
684	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	4	yes	—
685	C₂×C₄⋊Q₈	C₄×D₄	1	1	yes	characteristic
686	C₂×C₄⋊Q₈	C₄×D₄	1	1	yes	characteristic
687	C₂×C₄⋊Q₈	C₄×D₄	1	1	yes	characteristic
688	C₂×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
689	C₂×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
690	C₂×#127	C₂×C₂²⋊C₄	1	4	yes	—
691	C₂×#127	C₄×D₄	1	1	yes	characteristic
692	C₂×#126	#121	1	4	yes	—
693	C₂×#126	#123	1	4	yes	—
694	C₂×#125	C₂×C₂²⋊C₄	1	2	yes	—
695	C₂×#125	C₂×C₂²⋊C₄	1	2	yes	—
696	C₂×#125	C₂×C₂²⋊C₄	1	4	yes	—
697	C₂×#125	C₄×D₄	1	2	yes	—
698	C₂×#125	#121	1	2	yes	—
699	C₂×#125	#123	1	2	yes	—
700	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
701	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
702	C₂×#124	C₂×C₂²⋊C₄	1	4	yes	—
703	C₂×#124	C₄×D₄	1	2	yes	—
704	C₂×#124	#121	1	2	yes	—
705	C₂×#124	#123	1	2	yes	—
706	C₂×#123	#120	1	4	yes	—
707	C₂×#123	#121	1	4	yes	—
708	C₂×#123	C₂×#41	1	4	yes	—
709	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	4	yes	—
710	C₂×C₂²⋊Q₈	C₄×D₄	1	2	yes	—
711	C₂×C₂²⋊Q₈	C₄×D₄	1	2	yes	—
712	C₂×C₂²⋊Q₈	#120	1	2	yes	—
713	C₂×C₂²⋊Q₈	#121	1	2	yes	—
714	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
715	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
716	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
717	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
718	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
719	C₂×C₂²⋊Q₈	C₂×#41	1	2	yes	—
720	C₂×#121	C₂×C₂²⋊C₄	1	4	yes	—
721	C₂×#121	C₂×C₂²⋊C₄	1	4	yes	—
722	C₂×#121	C₂×C₂²⋊C₄	1	4	yes	—
723	C₂×#121	C₄×D₄	1	2	yes	—
724	C₂×#121	C₄×D₄	1	2	yes	—
725	C₂×#121	#120	1	2	yes	—
726	C₂×#121	#121	1	2	yes	—
727	C₂×#121	C₂²×D₄	1	2	yes	—
728	C₂×#121	C₂²×D₄	1	2	yes	—
729	C₂×#121	C₂²×D₄	1	2	yes	—
730	C₂×#121	C₂²×D₄	1	2	yes	—
731	C₂×#121	C₂²×D₄	1	2	yes	—
732	C₂×#121	C₂×#41	1	2	yes	—
733	C₂×#120	C₂²×D₄	1	4	yes	—
734	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
735	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
736	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
737	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
738	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
739	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
740	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
741	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
742	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
743	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
744	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
745	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
746	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	4	yes	—
747	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
748	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
749	C₂×C₄×Q₈	C₄×D₄	1	2	yes	—
750	C₂×C₄×Q₈	C₄×D₄	1	2	yes	—
751	C₂×C₄×Q₈	#121	1	2	yes	—
752	C₂×C₄×Q₈	#123	1	2	yes	—
753	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
754	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
755	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
756	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
757	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
758	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
759	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
760	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
761	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
762	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
763	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
764	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
765	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	4	yes	—
766	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	4	yes	—
767	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	4	yes	—
768	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
769	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
770	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
771	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
772	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
773	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
774	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
775	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
776	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
777	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
778	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
779	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
780	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
781	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
782	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
783	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
784	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
785	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
786	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
787	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
788	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
789	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
790	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
791	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
792	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
793	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
794	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
795	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
796	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
797	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
798	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
799	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
800	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
801	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
802	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
803	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
804	C₂×C₄×D₄	C₄×D₄	1	4	yes	—
805	C₂×C₄×D₄	C₄×D₄	1	4	yes	—
806	C₂×C₄×D₄	#120	1	2	yes	—
807	C₂×C₄×D₄	#120	1	2	yes	—
808	C₂×C₄×D₄	#120	1	2	yes	—
809	C₂×C₄×D₄	#120	1	2	yes	—
810	C₂×C₄×D₄	#120	1	2	yes	—
811	C₂×C₄×D₄	#120	1	2	yes	—
812	C₂×C₄×D₄	#120	1	2	yes	—
813	C₂×C₄×D₄	#120	1	2	yes	—
814	C₂×C₄×D₄	#120	1	2	yes	—
815	C₂×C₄×D₄	#120	1	2	yes	—
816	C₂×C₄×D₄	#120	1	2	yes	—
817	C₂×C₄×D₄	#120	1	2	yes	—
818	C₂×C₄×D₄	#120	1	2	yes	—
819	C₂×C₄×D₄	#120	1	2	yes	—
820	C₂×C₄×D₄	#120	1	2	yes	—
821	C₂×C₄×D₄	#120	1	2	yes	—
822	C₂×C₄×D₄	#120	1	2	yes	—
823	C₂×C₄×D₄	#120	1	2	yes	—
824	C₂×C₄×D₄	#120	1	2	yes	—
825	C₂×C₄×D₄	#120	1	2	yes	—
826	C₂×C₄×D₄	#120	1	2	yes	—
827	C₂×C₄×D₄	#120	1	2	yes	—
828	C₂×C₄×D₄	#120	1	2	yes	—
829	C₂×C₄×D₄	#120	1	2	yes	—
830	C₂×C₄×D₄	#120	1	2	yes	—
831	C₂×C₄×D₄	#120	1	2	yes	—
832	C₂×C₄×D₄	#120	1	2	yes	—
833	C₂×C₄×D₄	#120	1	2	yes	—
834	C₂×C₄×D₄	#120	1	2	yes	—
835	C₂×C₄×D₄	#120	1	2	yes	—
836	C₂×C₄×D₄	#120	1	2	yes	—
837	C₂×C₄×D₄	#120	1	2	yes	—
838	C₂×C₄×D₄	#120	1	4	yes	—
839	C₂×C₄×D₄	#121	1	2	yes	—
840	C₂×C₄×D₄	#121	1	4	yes	—
841	C₂×C₄×D₄	#123	1	2	yes	—
842	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
843	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
844	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
845	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
846	C₂×#117	#120	1	2	yes	—
847	C₂×#117	#121	1	4	yes	—
848	C₂×#117	#121	1	2	yes	—
849	C₂×#117	#123	1	4	yes	—
850	C₂×#117	C₂³×C₄	1	1	yes	characteristic
851	C₂×#117	C₂³×C₄	1	1	yes	characteristic
852	C₂×#117	C₂³×C₄	1	2	yes	—
853	C₂×#117	C₂³×C₄	1	2	yes	—
854	C₂×#117	C₂³×C₄	1	2	yes	—
855	C₂×#117	C₂²×D₄	1	1	yes	characteristic
856	C₂×#117	C₂²×D₄	1	1	yes	characteristic
857	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
858	C₂²×C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
859	C₂²×C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
860	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
861	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
862	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
863	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
864	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
865	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
866	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
867	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
868	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
869	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
870	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
871	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
872	C₂²×C₄²	C₂×C₂²⋊C₄	1	4	yes	—
873	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
874	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
875	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
876	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
877	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
878	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
879	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
880	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
881	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
882	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
883	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
884	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
885	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
886	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
887	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
888	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
889	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
890	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
891	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
892	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
893	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
894	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
895	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
896	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
897	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
898	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
899	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
900	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
901	C₂×#107	C₂×C₂²⋊C₄	1	4	yes	—
902	C₂×#107	C₂×C₂²⋊C₄	1	4	yes	—
903	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
904	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
905	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
906	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
907	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
908	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
909	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
910	C₂×#107	C₂×C₂²⋊C₄	1	1	yes	characteristic
911	C₂×#106	C₂×C₂²⋊C₄	1	4	yes	—
912	C₂×#106	C₂×C₂²⋊C₄	1	4	yes	—
913	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
914	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
915	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
916	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
917	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
918	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
919	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
920	C₂×#106	C₂×C₂²⋊C₄	1	1	yes	characteristic
921	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	2	yes	—
922	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	2	yes	—
923	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	2	yes	—
924	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	2	yes	—
925	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
926	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
927	C₂×#103	C₂×C₂²⋊C₄	1	4	yes	—
928	C₂×#103	C₂×C₂²⋊C₄	1	4	yes	—
929	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
930	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
931	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
932	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
933	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
934	C₂×#103	C₂×C₂²⋊C₄	1	1	yes	characteristic
935	C₂×#102	C₂×C₂²⋊C₄	1	4	yes	—
936	C₂×#102	C₂×C₂²⋊C₄	1	4	yes	—
937	C₂×#102	C₂×C₂²⋊C₄	1	4	yes	—
938	C₂×#102	C₂×C₂²⋊C₄	1	4	yes	—
939	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
940	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
941	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
942	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
943	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
944	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
945	C₂×#102	C₂×C₂²⋊C₄	1	4	yes	—
946	C₂×#102	C₂×C₂²⋊C₄	1	4	yes	—
947	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
948	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
949	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
950	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
951	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
952	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
953	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
954	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
955	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
956	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
957	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
958	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
959	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
960	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
961	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
962	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
963	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
964	C₂×#102	C₂×C₂²⋊C₄	1	1	yes	characteristic
965	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	—
966	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	—
967	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
968	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
969	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
970	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
971	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
972	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
973	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
974	C₂×#97	C₂×C₂²⋊C₄	1	1	yes	characteristic
975	C₂×#97	C₂×C₂²⋊C₄	1	4	yes	—
976	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
977	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
978	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
979	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
980	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
981	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
982	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
983	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
984	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	4	yes	—
985	#380	C₂²×D₄	1	4	yes	—
986	#379	C₂²×D₄	1	4	yes	—
987	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
988	C₂⁵	C₂³×D₄	1	1	yes	characteristic
989	C₂²×Q₈	#386	1	2	yes	—
990	C₂²×Q₈	#386	1	2	yes	—
991	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
992	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
993	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
994	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
995	C₂²×Q₈	C₂×C₄×D₄	1	2	yes	—
996	C₂²×D₄	#386	1	2	yes	—
997	C₂²×D₄	#386	1	2	yes	—
998	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
999	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1000	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1001	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1002	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1003	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
1004	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
1005	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1006	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
1007	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
1008	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
1009	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
1010	C₂²×D₄	C₂×C₄×D₄	1	2	yes	—
1011	C₂²×D₄	C₂×C₄×D₄	1	4	yes	—
1012	C₂²×D₄	C₂×#120	1	2	yes	—
1013	C₂²×D₄	C₂×#120	1	2	yes	—
1014	C₂²×D₄	C₂×#120	1	2	yes	—
1015	C₂²×D₄	C₂×#120	1	2	yes	—
1016	C₂²×D₄	C₂×#120	1	2	yes	—
1017	C₂²×D₄	C₂×#120	1	2	yes	—
1018	C₂²×D₄	C₂×#120	1	2	yes	—
1019	C₂²×D₄	C₂×#120	1	2	yes	—
1020	C₂²×D₄	C₂×#120	1	4	yes	—
1021	C₂²×D₄	C₂×#121	1	4	yes	—
1022	C₂³×C₄	#386	1	4	yes	—
1023	C₂³×C₄	#386	1	4	yes	—
1024	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
1025	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1026	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1027	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1028	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1029	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1030	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1031	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1032	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1033	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1034	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1035	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1036	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1037	C₂³×C₄	D₄²	1	1	yes	characteristic
1038	C₂³×C₄	D₄²	1	1	yes	characteristic
1039	C₂³×C₄	D₄²	1	1	yes	characteristic
1040	C₂³×C₄	D₄²	1	1	yes	characteristic
1041	C₂³×C₄	D₄²	1	1	yes	characteristic
1042	C₂³×C₄	D₄²	1	1	yes	characteristic
1043	C₂³×C₄	D₄²	1	1	yes	characteristic
1044	C₂³×C₄	D₄²	1	1	yes	characteristic
1045	C₂³×C₄	D₄²	1	1	yes	characteristic
1046	C₂³×C₄	D₄²	1	1	yes	characteristic
1047	C₂³×C₄	D₄²	1	1	yes	characteristic
1048	C₂³×C₄	D₄²	1	1	yes	characteristic
1049	C₂³×C₄	D₄²	1	1	yes	characteristic
1050	C₂³×C₄	D₄²	1	1	yes	characteristic
1051	C₂³×C₄	D₄²	1	1	yes	characteristic
1052	C₂³×C₄	D₄²	1	1	yes	characteristic
1053	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
1054	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1055	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1056	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1057	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1058	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1059	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1060	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1061	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1062	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1063	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1064	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1065	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1066	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1067	C₂×SD₁₆	#410	1	4	yes	complemented
1068	C₂×D₈	#410	1	4	yes	complemented
1069	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1070	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1071	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1072	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1073	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1074	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1075	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1076	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1077	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
1078	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
1079	C₄×D₄	#379	1	2	yes	—
1080	C₄×D₄	#379	1	2	yes	—
1081	C₄×D₄	#379	1	2	yes	—
1082	C₄×D₄	#379	1	2	yes	—
1083	C₄×D₄	#379	1	2	yes	—
1084	C₄×D₄	#379	1	2	yes	—
1085	C₄×D₄	#379	1	2	yes	—
1086	C₄×D₄	#379	1	2	yes	—
1087	C₄×D₄	#379	1	2	yes	—
1088	C₄×D₄	#379	1	2	yes	—
1089	C₄×D₄	#379	1	2	yes	—
1090	C₄×D₄	#379	1	2	yes	—
1091	C₄×D₄	#379	1	2	yes	—
1092	C₄×D₄	#379	1	2	yes	—
1093	C₄×D₄	#379	1	2	yes	—
1094	C₄×D₄	#379	1	2	yes	—
1095	C₄×D₄	#379	1	2	yes	—
1096	C₄×D₄	#379	1	2	yes	—
1097	C₄×D₄	#379	1	2	yes	—
1098	C₄×D₄	#379	1	2	yes	—
1099	C₄×D₄	#379	1	2	yes	—
1100	C₄×D₄	#379	1	2	yes	—
1101	C₄×D₄	#379	1	2	yes	—
1102	C₄×D₄	#379	1	2	yes	—
1103	C₄×D₄	#379	1	2	yes	—
1104	C₄×D₄	#379	1	2	yes	—
1105	C₄×D₄	#379	1	2	yes	—
1106	C₄×D₄	#379	1	2	yes	—
1107	C₄×D₄	#379	1	2	yes	—
1108	C₄×D₄	#379	1	2	yes	—
1109	C₄×D₄	#379	1	2	yes	—
1110	C₄×D₄	#379	1	2	yes	—
1111	C₂×C₄⋊C₄	#386	1	2	yes	—
1112	C₂×C₄⋊C₄	#386	1	2	yes	—
1113	C₂×C₄⋊C₄	#386	1	4	yes	—
1114	C₂×C₄⋊C₄	#386	1	4	yes	—
1115	C₂×C₄⋊C₄	#386	1	4	yes	—
1116	C₂×C₄⋊C₄	#386	1	2	yes	—
1117	C₂×C₄⋊C₄	#386	1	2	yes	—
1118	C₂×C₄⋊C₄	#386	1	4	yes	—
1119	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1120	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1121	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1122	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1123	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1124	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1125	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1126	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1127	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1128	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1129	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1130	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1131	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1132	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1133	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1134	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1136	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1137	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1138	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1139	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1140	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1141	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1142	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1143	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1144	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1145	C₂×C₄⋊C₄	C₂×#121	1	4	yes	—
1146	C₂×C₄⋊C₄	C₂×#123	1	4	yes	—
1147	C₂×C₂²⋊C₄	#386	1	4	yes	—
1148	C₂×C₂²⋊C₄	#386	1	4	yes	—
1149	C₂×C₂²⋊C₄	#386	1	4	yes	—
1150	C₂×C₂²⋊C₄	#386	1	4	yes	—
1151	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	4	yes	—
1152	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1153	C₂×C₂²⋊C₄	C₂×#121	1	4	yes	—
1154	C₂×C₂²⋊C₄	C₂×#121	1	4	yes	—
1155	C₂×C₂²⋊C₄	C₂×#123	1	4	yes	—
1156	C₂×C₄²	#386	1	4	yes	—
1157	C₂×C₄²	#386	1	4	yes	—
1158	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
1159	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1160	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1161	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1162	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1163	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1164	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1165	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1166	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1167	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1168	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1169	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1170	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1171	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1172	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1173	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1174	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1175	C₂×C₄²	#518	1	1	yes	characteristic
1176	C₂×C₄²	#518	1	1	yes	characteristic
1177	C₂×C₄²	#518	1	1	yes	characteristic
1178	C₂×C₄²	#518	1	1	yes	characteristic
1179	C₂×C₄²	#518	1	1	yes	characteristic
1180	C₂×C₄²	#518	1	1	yes	characteristic
1181	C₂×C₄²	#518	1	1	yes	characteristic
1182	C₂×C₄²	#518	1	1	yes	characteristic
1183	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1184	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1185	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1186	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1187	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1188	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1189	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1190	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1191	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1192	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1193	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1194	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1195	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1196	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1197	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1198	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1199	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1200	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1201	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1202	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1203	C₂×C₄²	C₂×#123	1	1	yes	characteristic
1204	C₂×C₄²	C₂×#123	1	1	yes	characteristic
1205	C₂×C₄²	C₂×#123	1	1	yes	characteristic
1206	C₂×C₄²	C₂×#123	1	1	yes	characteristic
1207	C₂×C₄²	#534	1	1	yes	characteristic
1208	C₂×C₄²	#534	1	1	yes	characteristic
1209	C₂×C₄²	#534	1	1	yes	characteristic
1210	C₂×C₄²	#534	1	1	yes	characteristic
1211	C₂×C₄²	#534	1	1	yes	characteristic
1212	C₂×C₄²	#534	1	1	yes	characteristic
1213	C₂×C₄²	#534	1	1	yes	characteristic
1214	C₂×C₄²	#534	1	1	yes	characteristic
1215	C₂×C₄²	#534	1	1	yes	characteristic
1216	C₂×C₄²	#534	1	1	yes	characteristic
1217	C₂×C₄²	#534	1	1	yes	characteristic
1218	C₂×C₄²	#534	1	1	yes	characteristic
1219	C₂×C₄²	#534	1	1	yes	characteristic
1220	C₂×C₄²	#534	1	1	yes	characteristic
1221	C₂×C₄²	#534	1	1	yes	characteristic
1222	C₂×C₄²	#534	1	1	yes	characteristic
1223	C₂×C₄²	D₄²	1	1	yes	characteristic
1224	C₂×C₄²	D₄²	1	1	yes	characteristic
1225	C₂×C₄²	D₄²	1	1	yes	characteristic
1226	C₂×C₄²	D₄²	1	1	yes	characteristic
1227	C₂×C₄²	D₄²	1	1	yes	characteristic
1228	C₂×C₄²	D₄²	1	1	yes	characteristic
1229	C₂×C₄²	D₄²	1	1	yes	characteristic
1230	C₂×C₄²	D₄²	1	1	yes	characteristic
1231	C₂×C₄²	D₄²	1	1	yes	characteristic
1232	C₂×C₄²	D₄²	1	1	yes	characteristic
1233	C₂×C₄²	D₄²	1	1	yes	characteristic
1234	C₂×C₄²	D₄²	1	1	yes	characteristic
1235	C₂×C₄²	D₄²	1	1	yes	characteristic
1236	C₂×C₄²	D₄²	1	1	yes	characteristic
1237	C₂×C₄²	D₄²	1	1	yes	characteristic
1238	C₂×C₄²	D₄²	1	1	yes	characteristic
1239	C₂×C₄²	#546	1	1	yes	characteristic
1240	C₂×C₄²	#546	1	1	yes	characteristic
1241	C₂×C₄²	#546	1	1	yes	characteristic
1242	C₂×C₄²	#546	1	1	yes	characteristic
1243	C₂×C₄²	#546	1	1	yes	characteristic
1244	C₂×C₄²	#546	1	1	yes	characteristic
1245	C₂×C₄²	#546	1	1	yes	characteristic
1246	C₂×C₄²	#546	1	1	yes	characteristic
1247	C₂×C₄²	#546	1	1	yes	characteristic
1248	C₂×C₄²	#546	1	1	yes	characteristic
1249	C₂×C₄²	#546	1	1	yes	characteristic
1250	C₂×C₄²	#546	1	1	yes	characteristic
1251	C₂×C₄²	#546	1	1	yes	characteristic
1252	C₂×C₄²	#546	1	1	yes	characteristic
1253	C₂×C₄²	#546	1	1	yes	characteristic
1254	C₂×C₄²	#546	1	1	yes	characteristic
1255	C₂×C₄²	#546	1	1	yes	characteristic
1256	C₂×C₄²	#546	1	1	yes	characteristic
1257	C₂×C₄²	#546	1	1	yes	characteristic
1258	C₂×C₄²	#546	1	1	yes	characteristic
1259	C₂×C₄²	#546	1	1	yes	characteristic
1260	C₂×C₄²	#546	1	1	yes	characteristic
1261	C₂×C₄²	#546	1	1	yes	characteristic
1262	C₂×C₄²	#546	1	1	yes	characteristic
1263	C₂×C₄²	#546	1	1	yes	characteristic
1264	C₂×C₄²	#546	1	1	yes	characteristic
1265	C₂×C₄²	#546	1	1	yes	characteristic
1266	C₂×C₄²	#546	1	1	yes	characteristic
1267	C₂×C₄²	#546	1	1	yes	characteristic
1268	C₂×C₄²	#546	1	1	yes	characteristic
1269	C₂×C₄²	#546	1	1	yes	characteristic
1270	C₂×C₄²	#546	1	1	yes	characteristic
1271	C₂⁴	C₂×#386	1	4	yes	—
1272	C₂⁴	C₂²×C₄×D₄	1	1	yes	characteristic
1273	C₂⁴	C₂²×#120	1	1	yes	characteristic
1274	C₂⁴	C₂²×#121	1	1	yes	characteristic
1275	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1276	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1277	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1278	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1279	C₂×Q₈	C₂×#410	1	2	yes	complemented
1280	C₂×D₄	C₂×#379	1	2	yes	—
1281	C₂×D₄	C₂×#379	1	2	yes	—
1282	C₂×D₄	C₂×#379	1	2	yes	—
1283	C₂×D₄	C₂×#379	1	2	yes	—
1284	C₂×D₄	C₂×#410	1	2	yes	—
1285	C₂×D₄	C₂×#410	1	2	yes	—
1286	C₂×D₄	C₂×#410	1	2	yes	complemented
1287	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1288	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1289	C₂²×C₄	C₂×#386	1	4	yes	—
1290	C₂²×C₄	C₂×#386	1	4	yes	—
1291	C₂²×C₄	C₂×#386	1	4	yes	—
1292	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1293	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1294	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1295	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1296	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1297	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1298	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1299	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1300	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1301	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1302	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1303	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1304	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1305	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1306	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1307	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1308	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1309	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1310	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1311	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1312	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1313	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1314	C₂²×C₄	#2403	1	1	yes	characteristic
1315	C₂²×C₄	#2403	1	1	yes	characteristic
1316	C₂²×C₄	#2403	1	1	yes	characteristic
1317	C₂²×C₄	#2403	1	1	yes	characteristic
1318	C₂²×C₄	#2403	1	1	yes	characteristic
1319	C₂²×C₄	#2403	1	1	yes	characteristic
1320	C₂²×C₄	#2403	1	1	yes	characteristic
1321	C₂²×C₄	#2403	1	1	yes	characteristic
1322	C₂²×C₄	#2403	1	1	yes	characteristic
1323	C₂²×C₄	#2403	1	1	yes	characteristic
1324	C₂²×C₄	#2403	1	1	yes	characteristic
1325	C₂²×C₄	#2403	1	1	yes	characteristic
1326	C₂²×C₄	#2403	1	1	yes	characteristic
1327	C₂²×C₄	#2403	1	1	yes	characteristic
1328	C₂²×C₄	#2403	1	1	yes	characteristic
1329	C₂²×C₄	#2403	1	1	yes	characteristic
1330	C₂²×C₄	#2410	1	1	yes	characteristic
1331	C₂²×C₄	#2410	1	1	yes	characteristic
1332	C₂²×C₄	#2410	1	1	yes	characteristic
1333	C₂²×C₄	#2410	1	1	yes	characteristic
1334	C₂²×C₄	#2410	1	1	yes	characteristic
1335	C₂²×C₄	#2410	1	1	yes	characteristic
1336	C₂²×C₄	#2410	1	1	yes	characteristic
1337	C₂²×C₄	#2410	1	1	yes	characteristic
1338	C₂²×C₄	#2410	1	1	yes	characteristic
1339	C₂²×C₄	#2410	1	1	yes	characteristic
1340	C₂²×C₄	#2410	1	1	yes	characteristic
1341	C₂²×C₄	#2410	1	1	yes	characteristic
1342	C₂²×C₄	#2410	1	1	yes	characteristic
1343	C₂²×C₄	#2410	1	1	yes	characteristic
1344	C₂²×C₄	#2410	1	1	yes	characteristic
1345	C₂²×C₄	#2410	1	1	yes	characteristic
1346	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1347	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1349	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1350	C₂²×C₄	C₂×#518	1	1	yes	characteristic
1351	C₂²×C₄	C₂×#518	1	1	yes	characteristic
1352	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1353	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1354	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1355	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1356	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1357	C₂²×C₄	C₂²×#123	1	1	yes	characteristic
1358	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1359	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1360	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1361	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1362	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1363	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1364	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1365	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1366	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1367	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1368	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1369	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1370	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1371	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1372	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1373	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1374	C₂×C₈	C₂×#410	1	2	yes	complemented
1375	C₂×C₈	C₂×#410	1	2	yes	complemented
1376	C₄⋊C₄	C₂×#379	1	2	yes	—
1377	C₄⋊C₄	C₂×#379	1	2	yes	—
1378	C₄⋊C₄	C₂×#379	1	2	yes	—
1379	C₄⋊C₄	C₂×#379	1	2	yes	—
1380	C₄²	C₂×#379	1	1	yes	characteristic
1381	C₄²	C₂×#379	1	1	yes	characteristic
1382	C₄²	C₂×#379	1	1	yes	characteristic
1383	C₄²	C₂×#379	1	1	yes	characteristic
1384	C₄²	C₂×#379	1	1	yes	characteristic
1385	C₄²	C₂×#379	1	1	yes	characteristic
1386	C₄²	C₂×#379	1	1	yes	characteristic
1387	C₄²	C₂×#379	1	1	yes	characteristic
1388	C₄²	#2308	1	1	yes	characteristic
1389	C₄²	#2308	1	1	yes	characteristic
1390	C₄²	#2308	1	1	yes	characteristic
1391	C₄²	#2308	1	1	yes	characteristic
1392	C₄²	#2308	1	1	yes	characteristic
1393	C₄²	#2308	1	1	yes	characteristic
1394	C₄²	#2308	1	1	yes	characteristic
1395	C₄²	#2308	1	1	yes	characteristic
1396	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1397	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1398	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1399	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1400	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1401	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1402	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1403	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1404	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1405	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1406	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1407	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1408	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1409	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1410	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1411	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1412	C₄²	#2405	1	1	yes	characteristic
1413	C₄²	#2405	1	1	yes	characteristic
1414	C₄²	#2405	1	1	yes	characteristic
1415	C₄²	#2405	1	1	yes	characteristic
1416	C₄²	#2405	1	1	yes	characteristic
1417	C₄²	#2405	1	1	yes	characteristic
1418	C₄²	#2405	1	1	yes	characteristic
1419	C₄²	#2405	1	1	yes	characteristic
1420	C₄²	#2405	1	1	yes	characteristic
1421	C₄²	#2405	1	1	yes	characteristic
1422	C₄²	#2405	1	1	yes	characteristic
1423	C₄²	#2405	1	1	yes	characteristic
1424	C₄²	#2405	1	1	yes	characteristic
1425	C₄²	#2405	1	1	yes	characteristic
1426	C₄²	#2405	1	1	yes	characteristic
1427	C₄²	#2405	1	1	yes	characteristic
1428	C₄²	#2410	1	1	yes	characteristic
1429	C₄²	#2410	1	1	yes	characteristic
1430	C₄²	#2410	1	1	yes	characteristic
1431	C₄²	#2410	1	1	yes	characteristic
1432	C₄²	#2410	1	1	yes	characteristic
1433	C₄²	#2410	1	1	yes	characteristic
1434	C₄²	#2410	1	1	yes	characteristic
1435	C₄²	#2410	1	1	yes	characteristic
1436	C₄²	#2410	1	1	yes	characteristic
1437	C₄²	#2410	1	1	yes	characteristic
1438	C₄²	#2410	1	1	yes	characteristic
1439	C₄²	#2410	1	1	yes	characteristic
1440	C₄²	#2410	1	1	yes	characteristic
1441	C₄²	#2410	1	1	yes	characteristic
1442	C₄²	#2410	1	1	yes	characteristic
1443	C₄²	#2410	1	1	yes	characteristic
1444	C₂³	C₂²×#386	1	1	yes	characteristic
1445	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1446	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1447	C₂³	C₂×#2403	1	1	yes	characteristic
1448	C₂³	C₂×#2403	1	1	yes	characteristic
1449	C₂³	C₂×#2410	1	1	yes	characteristic
1450	C₂³	C₂×#2410	1	1	yes	characteristic
1451	D₄	#20584	1	4	yes	—
1452	C₂×C₄	#13867	1	1	yes	characteristic
1453	C₂×C₄	#13867	1	1	yes	characteristic
1454	C₂×C₄	#13867	1	1	yes	characteristic
1455	C₂×C₄	#13867	1	1	yes	characteristic
1456	C₂×C₄	#13867	1	1	yes	characteristic
1457	C₂×C₄	#13867	1	1	yes	characteristic
1458	C₂×C₄	#13867	1	1	yes	characteristic
1459	C₂×C₄	#13867	1	1	yes	characteristic
1460	C₂×C₄	#13867	1	1	yes	characteristic
1461	C₂×C₄	#13867	1	1	yes	characteristic
1462	C₂×C₄	#13867	1	1	yes	characteristic
1463	C₂×C₄	#13867	1	1	yes	characteristic
1464	C₂×C₄	#13867	1	1	yes	characteristic
1465	C₂×C₄	#13867	1	1	yes	characteristic
1466	C₂×C₄	#13867	1	1	yes	characteristic
1467	C₂×C₄	#13867	1	1	yes	characteristic
1468	C₂×C₄	#23882	1	2	yes	—
1469	C₂×C₄	#23883	1	2	yes	—
1470	C₂×C₄	C₂²×#379	1	1	yes	characteristic
1471	C₂×C₄	C₂×#2308	1	1	yes	characteristic
1472	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1473	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1474	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1475	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1476	C₂×C₄	C₂×#2405	1	1	yes	characteristic
1477	C₂×C₄	C₂×#2405	1	1	yes	characteristic
1478	C₂×C₄	C₂²×#410	1	1	yes	characteristic
1479	C₂×C₄	C₂²×#410	1	1	yes	characteristic
1480	C₂×C₄	#60070	1	1	yes	characteristic
1481	C₂×C₄	#60070	1	1	yes	characteristic
1482	C₂²	C₂×#13867	1	1	yes	characteristic
1483	C₂²	D₄×#410	1	1	yes	characteristic
1484	C₂²	D₄×#410	1	1	yes	characteristic
1485	C₂²	C₂×#23882	1	1	yes	characteristic
1486	C₂²	C₂×#23883	1	1	yes	characteristic
1487	C₂²	#6438015	1	1	yes	characteristic
1488	C₂²	#6438016	1	1	yes	characteristic
1489	C₄	#359576	1	2	yes	—
1490	C₄	#359576	1	2	yes	—
1491	C₄	C₂×#20584	1	1	yes	characteristic
1492	C₄	#6370692	1	1	yes	characteristic
1493	C₄	D₄×#410	1	1	yes	characteristic
1494	C₄	D₄×#410	1	1	yes	characteristic
1495	C₂	C₂×#359576	1	1	yes	characteristic
1496	C₂	#72313290	1	1	yes	characteristic
1497	C₂	#72313435	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×#13867
commutator	C₂³×C₄	C₂⁴×C₄
Frattini, cosocle	C₂⁴×C₄	C₂⁵
prime radical	#72242442	C₂
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄² ◁ G
LECS	G ▷ C₂⁴×C₄ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72313812	C₂	semidirect
2. #72313809	C₂	semidirect
3. #72313804	C₂	semidirect
4. #72313799	C₂	semidirect
5. #72313795	C₂	semidirect
6. #72313787	C₂	semidirect
7. #72313773	C₂	semidirect
8. #72313764	C₂	semidirect
9. #72313757	C₂	semidirect
10. #72310560	C₂	semidirect
11. #72310551	C₂	semidirect
12. #72310546	C₂	semidirect
13. #72280302	C₂	semidirect
14. #72279821	C₂	semidirect
15. #72257828	C₂	semidirect
17. #72240775	C₂	semidirect
18. #72216098	C₂	semidirect
19. #72216093	C₂	semidirect
22. #10576727	C₄	semidirect
23. #10576648	C₄	semidirect
25. #10576521	C₄	semidirect
26. #10576519	C₄	semidirect
27. #10576401	C₄	semidirect
28. #10576398	C₄	semidirect
31. #10576231	C₄	semidirect
32. #10576114	C₄	semidirect
34. #10575356	C₄	semidirect
36. #10575140	C₄	semidirect
37. #10575138	C₄	semidirect
41. C₄×#3585	C₄	semidirect
43. #7625417	C₂²	semidirect
44. C₂×D₄×#117	C₂²	semidirect
45. #6393525	C₂²	semidirect
46. #6393523	C₂²	semidirect
49. #6374474	C₂²	semidirect
50. #6374474	C₂²	semidirect
52. #6372481	C₂²	semidirect
53. #6372481	C₂²	semidirect
54. #6370997	C₂²	semidirect
55. #6370977	C₂²	semidirect
56. C₂×#20738	C₂²	semidirect
57. C₂×#20743	C₂²	semidirect
58. #6370937	C₂²	semidirect
59. #6343381	C₂²	semidirect
60. #6343381	C₂²	semidirect
61. #6343376	C₂²	semidirect
62. #6343376	C₂²	semidirect
64. #514212	C₂²	semidirect
65. #359961	C₂²	semidirect
66. #359943	C₂²	semidirect
67. #359855	C₂²	semidirect
68. #359835	C₂²	semidirect
69. #359748	C₂²	semidirect
70. #359729	C₂²	semidirect
73. #353804	C₂²	semidirect
74. #353789	C₂²	semidirect
75. #353776	C₂²	semidirect
76. #353772	C₂²	semidirect
77. #198435	C₂²	semidirect
78. #198432	C₂²	semidirect
79. #198405	C₂²	semidirect
80. #198404	C₂²	semidirect
81. #187932	C₂²	semidirect
82. #187931	C₂²	semidirect
83. #187010	C₂²	semidirect
84. #187009	C₂²	semidirect
85. #185687	C₂²	semidirect
86. #185683	C₂²	semidirect
87. #181481	C₂²	semidirect
88. #181240	C₂²	semidirect
89. #181240	C₂²	semidirect
90. #181085	C₂²	semidirect
91. #114934	C₂²	semidirect
92. #114933	C₂²	semidirect
93. #114805	C₂²	semidirect
94. #114804	C₂²	semidirect
95. #111456	C₂²	semidirect
96. #111456	C₂²	semidirect
97. #111436	C₂²	semidirect
98. #111436	C₂²	semidirect
99. #106102	C₂²	semidirect
100. #106102	C₂²	semidirect
101. #106084	C₂²	semidirect
102. #106084	C₂²	semidirect
105. #62815	C₂×C₄	semidirect
106. #62815	C₂×C₄	semidirect
108. #62813	C₂×C₄	semidirect
109. #62812	C₂×C₄	semidirect
123. #62686	C₂×C₄	semidirect
128. C₄×#585	C₂×C₄	semidirect
132. #60664	C₂×C₄	semidirect
133. #60663	C₂×C₄	semidirect
135. #60639	C₂×C₄	semidirect
136. #60621	C₂×C₄	semidirect
138. #60618	C₂×C₄	semidirect
139. #60618	C₂×C₄	semidirect
146. #60520	C₂×C₄	semidirect
148. #60517	C₂×C₄	semidirect
149. #60517	C₂×C₄	semidirect
152. #60493	C₂×C₄	semidirect
153. #60493	C₂×C₄	semidirect
154. #60492	C₂×C₄	semidirect
156. #60484	C₂×C₄	semidirect
157. #60484	C₂×C₄	semidirect
160. #60456	C₂×C₄	semidirect
161. #60456	C₂×C₄	semidirect
168. #60425	C₂×C₄	semidirect
170. #60415	C₂×C₄	semidirect
171. #60415	C₂×C₄	semidirect
174. #60371	C₂×C₄	semidirect
180. #60192	C₂×C₄	semidirect
181. #60192	C₂×C₄	semidirect
182. #60170	C₂×C₄	semidirect
183. #60170	C₂×C₄	semidirect
186. C₄×#575	C₂×C₄	semidirect
187. C₄×#575	C₂×C₄	semidirect
188. C₄×#575	C₂×C₄	semidirect
189. C₄×#575	C₂×C₄	semidirect
216. #60144	C₂×C₄	semidirect
217. #60144	C₂×C₄	semidirect
220. #60123	C₂×C₄	semidirect
224. #60109	C₂×C₄	semidirect
226. #60089	C₂×C₄	semidirect
230. C₄×#568	C₂×C₄	semidirect
310. C₂×#559	C₂²⋊C₄	semidirect
311. C₂×#556	C₂²⋊C₄	semidirect
312. C₂×#555	C₂²⋊C₄	semidirect
313. C₂×#554	C₂²⋊C₄	semidirect
314. C₂×#554	C₂²⋊C₄	semidirect
316. C₂×#553	C₂²⋊C₄	semidirect
319. C₂×#550	C₂²⋊C₄	semidirect
320. C₂×D₄×Q₈	C₂²⋊C₄	semidirect
321. C₂×#547	C₂²⋊C₄	semidirect
322. C₂×#547	C₂²⋊C₄	semidirect
324. C₂×#546	C₂²⋊C₄	semidirect
327. C₂×D₄²	C₂²⋊C₄	semidirect
332. C₂×#542	C₂²⋊C₄	semidirect
333. C₂×#540	C₂²⋊C₄	semidirect
349. C₂×#532	C₂²⋊C₄	semidirect
359. C₂×#529	C₂²⋊C₄	semidirect
378. C₂×#520	C₂²⋊C₄	semidirect
381. C₂×#518	C₂²⋊C₄	semidirect
383. C₂×C₄×#41	C₂²⋊C₄	semidirect
399. C₂²×C₄×D₄	C₂²⋊C₄	semidirect
431. C₂×#478	C₂²⋊C₄	semidirect
432. C₂×#478	C₂²⋊C₄	semidirect
433. C₂×#476	C₂²⋊C₄	semidirect
434. C₂×#476	C₂²⋊C₄	semidirect
435. C₂×#474	C₂²⋊C₄	semidirect
436. C₂×#474	C₂²⋊C₄	semidirect
437. C₂×#463	C₂²⋊C₄	semidirect
438. C₂×#463	C₂²⋊C₄	semidirect
439. C₂×#461	C₂²⋊C₄	semidirect
440. C₂×#461	C₂²⋊C₄	semidirect
441. C₂×#459	C₂²⋊C₄	semidirect
442. C₂×#459	C₂²⋊C₄	semidirect
463. C₂×#442	C₂²⋊C₄	semidirect
464. C₂×#442	C₂²⋊C₄	semidirect
481. C₂×#440	C₂²⋊C₄	semidirect
482. C₂×#440	C₂²⋊C₄	semidirect
499. C₂×C₄×SD₁₆	C₂²⋊C₄	semidirect
500. C₂×C₄×SD₁₆	C₂²⋊C₄	semidirect
517. C₂×C₄×D₈	C₂²⋊C₄	semidirect
518. C₂×C₄×D₈	C₂²⋊C₄	semidirect
1067. C₂×SD₁₆	#410	semidirect
1068. C₂×D₈	#410	semidirect
1279. C₂×Q₈	C₂×#410	semidirect
1286. C₂×D₄	C₂×#410	semidirect
1374. C₂×C₈	C₂×#410	semidirect
1375. C₂×C₈	C₂×#410	semidirect

Maximal subgroups

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

subgroup	index
#72313812	2
#72313809	2
#72313804	2
#72313799	2
#72313795	2
#72313787	2
#72313773	2
#72313764	2
#72313757	2
#72310560	2
#72310551	2
#72310546	2
#72280302	2
#72279821	2
#72257828	2
#72242442	2
#72240775	2
#72216098	2
#72216093	2