Subgroups — #72341477

Order 2048.

At least 19204 conjugacy classes of subgroups; only the 2582 normal subgroups are shown.

The subgroup lattice has 1203 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72315283	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#494609	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#494605	C₂	1	1	yes	maximal, characteristic, complemented
4	#72312474	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#10574854	C₂	1	1	yes	maximal, characteristic
6	#72303705	C₂	1	2	yes	maximal, complemented
7	#72303703	C₂	1	2	yes	maximal, complemented
8	C₂×#493419	C₂	1	1	yes	maximal, characteristic, complemented
9	#72287849	C₂	1	8	yes	maximal, complemented
10	#72280922	C₂	1	2	yes	maximal, complemented
11	#72280748	C₂	1	2	yes	maximal, complemented
12	#72267983	C₂	1	8	yes	maximal, complemented
13	#72257152	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#63103	C₂²	1	1	yes	characteristic
15	C₂×#62812	C₂²	1	1	yes	characteristic
16	#10574854	C₄	1	4	yes	complemented
17	#10574854	C₄	1	4	yes	complemented
18	#10574854	C₂²	1	4	yes	—
19	#10574854	C₂²	1	4	yes	—
20	C₂×#60391	C₄	1	2	yes	complemented
21	C₂×#60389	C₄	1	2	yes	complemented
22	C₂×#60390	C₄	1	2	yes	complemented
23	C₂×#60388	C₄	1	2	yes	complemented
24	C₂×#60387	C₂²	1	1	yes	characteristic
25	C₂×#60387	C₂²	1	1	yes	characteristic
26	C₂²×#3018	C₂²	1	1	yes	characteristic
27	C₂²×#3018	C₂²	1	1	yes	characteristic
28	C₂×#60232	C₂²	1	1	yes	characteristic, complemented
29	C₂×#60076	C₂²	1	1	yes	characteristic
30	#7625999	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#2132	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#2126	C₂²	1	1	yes	characteristic, complemented
33	C₂×#33347	C₂²	1	2	yes	complemented
34	#6386078	C₂²	1	4	yes	complemented
35	#6386077	C₂²	1	4	yes	complemented
36	#6374181	C₂²	1	2	yes	complemented
37	C₂×#20623	C₂²	1	2	yes	—
38	C₂×#20620	C₂²	1	2	yes	complemented
39	#6370746	C₂²	1	2	yes	complemented
40	C₂×#20612	C₂²	1	2	yes	complemented
41	#6370734	C₂²	1	2	yes	complemented
42	#6370728	C₂²	1	2	yes	—
43	#494616	C₂²	1	4	yes	complemented
44	#494613	C₂²	1	4	yes	complemented
45	#494609	C₂²	1	4	yes	complemented
46	#494609	C₂²	1	4	yes	complemented
47	#494605	C₂²	1	4	yes	complemented
48	#494605	C₂²	1	4	yes	complemented
49	#494595	C₂²	1	4	yes	complemented
50	#494592	C₂²	1	4	yes	complemented
51	#493419	C₂²	1	4	yes	complemented
52	#493419	C₂²	1	4	yes	complemented
53	C₂×#12589	C₂²	1	2	yes	complemented
54	#492906	C₂²	1	2	yes	complemented
55	C₂×#12579	C₂²	1	2	yes	complemented
56	#492886	C₂²	1	2	yes	complemented
57	#392140	C₂²	1	16	yes	complemented
58	#147758	C₂²	1	16	yes	complemented
59	#147757	C₂²	1	16	yes	complemented
60	#146589	C₂²	1	16	yes	complemented
61	#63103	C₂×C₄	1	4	yes	complemented
62	#63103	C₂³	1	4	yes	—
63	C₂×2₋¹⁺⁶	C₂×C₄	1	2	yes	complemented
64	C₂×H(7,𝔽₂)	C₂×C₄	1	2	yes	complemented
65	C₂²×#585	D₄	1	1	yes	characteristic
66	C₂²×#585	C₂³	1	1	yes	characteristic
67	C₂²×#585	C₂³	1	1	yes	characteristic
68	C₂²×#585	C₂³	1	1	yes	characteristic
69	#62812	C₂×C₄	1	2	yes	—
70	#62812	C₂×C₄	1	2	yes	—
71	#62812	D₄	1	2	yes	—
72	#62812	D₄	1	2	yes	—
73	#62812	D₄	1	2	yes	—
74	#62812	D₄	1	2	yes	—
75	#62812	C₂³	1	2	yes	—
76	#62812	C₂³	1	2	yes	—
77	C₂×#3500	C₂×C₄	1	1	yes	characteristic
78	C₂×#3500	C₂×C₄	1	1	yes	characteristic
79	C₂×#3500	D₄	1	1	yes	characteristic
80	C₂×#3500	D₄	1	1	yes	characteristic
81	C₂×#3499	C₂×C₄	1	1	yes	characteristic
82	C₂×#3499	D₄	1	1	yes	characteristic
83	C₂×#3498	C₂×C₄	1	1	yes	characteristic
84	C₂×#3498	D₄	1	1	yes	characteristic
85	C₂×#3449	D₄	1	1	yes	characteristic
86	C₂×#3449	C₂³	1	1	yes	characteristic
87	C₂²×#532	D₄	1	1	yes	characteristic
88	C₂²×#532	C₂³	1	1	yes	characteristic
89	C₂²×C₄×#41	D₄	1	1	yes	characteristic
90	#60391	C₂×C₄	1	8	yes	complemented
91	#60391	C₂×C₄	1	8	yes	complemented
92	#60390	C₂×C₄	1	8	yes	complemented
93	#60390	C₂×C₄	1	8	yes	complemented
94	#60389	C₂×C₄	1	8	yes	complemented
95	#60389	C₂×C₄	1	8	yes	complemented
96	#60388	C₂×C₄	1	8	yes	complemented
97	#60388	C₂×C₄	1	8	yes	complemented
98	#60387	C₂×C₄	1	4	yes	complemented
99	#60387	C₂×C₄	1	4	yes	complemented
100	#60387	C₂³	1	4	yes	—
101	#60387	C₂³	1	4	yes	—
102	C₂×#3022	C₂×C₄	1	2	yes	complemented
103	C₂×#3022	C₂×C₄	1	2	yes	complemented
104	C₂×#3021	C₂×C₄	1	2	yes	complemented
105	C₂×#3021	C₂×C₄	1	2	yes	complemented
106	C₂×#3018	C₂×C₄	1	2	yes	—
107	C₂×#3018	C₂×C₄	1	2	yes	—
108	C₂×#3018	C₂×C₄	1	2	yes	—
109	C₂×#3018	C₂×C₄	1	2	yes	—
110	C₂×#3018	C₂×C₄	1	2	yes	—
111	C₂×#3018	C₂×C₄	1	2	yes	—
112	C₂×#3018	C₂×C₄	1	2	yes	—
113	C₂×#3018	C₂×C₄	1	2	yes	—
114	C₂×#3018	D₄	1	2	yes	—
115	C₂×#3018	D₄	1	2	yes	—
116	C₂×#3018	D₄	1	2	yes	—
117	C₂×#3018	D₄	1	2	yes	—
118	C₂×#3018	D₄	1	2	yes	—
119	C₂×#3018	D₄	1	2	yes	—
120	C₂×#3018	D₄	1	2	yes	—
121	C₂×#3018	D₄	1	2	yes	—
122	C₂×#3018	D₄	1	2	yes	—
123	C₂×#3018	D₄	1	2	yes	—
124	C₂×#3018	D₄	1	2	yes	—
125	C₂×#3018	D₄	1	2	yes	—
126	C₂×#3018	C₂³	1	2	yes	—
127	C₂×#3018	C₂³	1	2	yes	—
128	C₂×#3018	C₂³	1	2	yes	—
129	C₂×#3018	C₂³	1	2	yes	—
130	C₂²×#456	D₄	1	2	yes	—
131	C₂²×#454	D₄	1	2	yes	—
132	C₂²×#455	D₄	1	2	yes	—
133	C₂²×#453	D₄	1	2	yes	—
134	#60232	C₂³	1	2	yes	complemented
135	#60232	C₂³	1	2	yes	complemented
136	C₂²×#421	D₄	1	2	yes	—
137	C₂²×#421	D₄	1	2	yes	—
138	C₂²×#421	D₄	1	2	yes	—
139	C₂²×#421	D₄	1	2	yes	—
140	#60076	C₂×C₄	1	4	yes	complemented
141	#60076	C₂³	1	4	yes	—
142	C₂×#2889	C₂×C₄	1	2	yes	complemented
143	C₂×#2888	C₂×C₄	1	2	yes	complemented
144	C₂²×#413	C₂³	1	2	yes	—
145	C₂²×#413	C₂³	1	1	yes	characteristic
146	C₂²×#413	C₂³	1	1	yes	characteristic
147	C₂²×#410	C₂³	1	2	yes	—
148	C₂×#2879	C₂³	1	2	yes	—
149	#34346	C₂³	1	2	yes	complemented
150	#34155	C₂³	1	2	yes	complemented
151	#34044	C₂³	1	2	yes	—
152	C₂×#2132	C₂³	1	2	yes	complemented
153	C₂×#2132	C₂³	1	2	yes	complemented
154	C₂×#2126	C₂³	1	2	yes	complemented
155	C₂×#2126	C₂³	1	2	yes	complemented
156	#33347	C₂³	1	8	yes	complemented
157	#21775	C₂³	1	8	yes	complemented
158	#20623	C₂³	1	8	yes	—
159	#20620	C₂³	1	8	yes	complemented
160	#20615	C₂³	1	8	yes	complemented
161	#20612	C₂³	1	8	yes	complemented
162	#20608	C₂³	1	8	yes	complemented
163	#20606	D₄	1	8	yes	—
164	#20606	C₂³	1	8	yes	—
165	#12589	C₂³	1	8	yes	complemented
166	#12585	C₂³	1	8	yes	complemented
167	#12579	C₂³	1	8	yes	complemented
168	#12573	C₂³	1	8	yes	complemented
169	2₋¹⁺⁶	C₂²×C₄	1	8	yes	—
170	H(7,𝔽₂)	C₂²×C₄	1	8	yes	—
171	C₂×#585	C₂²⋊C₄	1	2	yes	complemented
172	C₂×#585	C₂²⋊C₄	1	2	yes	complemented
173	C₂×#585	C₂²×C₄	1	2	yes	—
174	C₂×#585	C₂²×C₄	1	2	yes	—
175	C₂×#585	C₂²×C₄	1	2	yes	—
176	C₂×#585	C₂²×C₄	1	2	yes	—
177	C₂×#585	C₂²×C₄	1	2	yes	—
178	C₂×#585	C₂×D₄	1	2	yes	—
179	C₂×#585	C₂×D₄	1	2	yes	—
180	C₂×#585	C₂×D₄	1	2	yes	—
181	C₂×#585	C₂×D₄	1	2	yes	—
182	C₂×#585	C₂×D₄	1	4	yes	—
183	C₂×#585	C₂×D₄	1	2	yes	—
184	C₂×#585	C₂×D₄	1	2	yes	—
185	C₂×#585	C₂×D₄	1	2	yes	—
186	C₂×#585	C₂×D₄	1	2	yes	—
187	C₂×#585	C₂×D₄	1	2	yes	—
188	C₂×#585	C₂×D₄	1	2	yes	—
189	C₂×#585	#41	1	4	yes	—
190	C₂×#585	C₂⁴	1	2	yes	—
191	C₂×#585	C₂⁴	1	2	yes	—
192	C₂×#585	C₂⁴	1	2	yes	—
193	C₂²×2₋¹⁺⁴	C₂²⋊C₄	1	1	yes	characteristic, complemented
194	C₂²×2₋¹⁺⁴	C₂²⋊C₄	1	1	yes	characteristic, complemented
195	C₂²×2₋¹⁺⁴	C₂²×C₄	1	1	yes	characteristic
196	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic
197	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
198	C₂²×2₋¹⁺⁴	#41	1	2	yes	—
199	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	1	yes	characteristic, complemented
200	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	1	yes	characteristic, complemented
201	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic
202	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
203	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
204	C₂²×H(5,𝔽₂)	#41	1	2	yes	—
205	C₂³×#41	C₂×D₄	1	1	yes	characteristic
206	C₂³×#41	C₂×D₄	1	1	yes	characteristic
207	C₂³×#41	C₂×D₄	1	2	yes	—
208	C₂³×#41	C₂×D₄	1	1	yes	characteristic
209	C₂³×#41	C₂×D₄	1	2	yes	—
210	C₂³×#41	C₂×D₄	1	1	yes	characteristic
211	C₂³×#41	C₂⁴	1	1	yes	characteristic
212	C₂³×M₁₆	C₂×D₄	1	2	yes	—
213	C₂³×M₁₆	C₂×D₄	1	2	yes	—
214	#3500	C₂²⋊C₄	1	2	yes	complemented
215	#3500	C₂²⋊C₄	1	2	yes	complemented
216	#3500	C₂²⋊C₄	1	2	yes	complemented
217	#3500	C₂²⋊C₄	1	2	yes	complemented
218	#3500	C₂²⋊C₄	1	2	yes	complemented
219	#3500	C₂²⋊C₄	1	2	yes	complemented
220	#3500	C₂²⋊C₄	1	2	yes	complemented
221	#3500	C₂²⋊C₄	1	2	yes	complemented
222	#3500	C₂²×C₄	1	2	yes	—
223	#3500	C₂²×C₄	1	2	yes	—
224	#3500	C₂²×C₄	1	2	yes	—
225	#3500	C₂²×C₄	1	2	yes	—
226	#3500	C₂×D₄	1	2	yes	—
227	#3500	C₂×D₄	1	2	yes	—
228	#3500	C₂×D₄	1	2	yes	—
229	#3500	C₂×D₄	1	2	yes	—
230	#3499	C₂²⋊C₄	1	2	yes	complemented
231	#3499	C₂²⋊C₄	1	2	yes	complemented
232	#3499	C₂²⋊C₄	1	2	yes	complemented
233	#3499	C₂²⋊C₄	1	2	yes	complemented
234	#3499	C₂²×C₄	1	2	yes	—
235	#3499	C₂²×C₄	1	2	yes	—
236	#3499	C₂×D₄	1	2	yes	—
237	#3499	C₂×D₄	1	2	yes	—
238	#3498	C₂²⋊C₄	1	2	yes	complemented
239	#3498	C₂²⋊C₄	1	2	yes	complemented
240	#3498	C₂²⋊C₄	1	2	yes	complemented
241	#3498	C₂²⋊C₄	1	2	yes	complemented
242	#3498	C₂²×C₄	1	2	yes	—
243	#3498	C₂²×C₄	1	2	yes	—
244	#3498	C₂×D₄	1	2	yes	—
245	#3498	C₂×D₄	1	2	yes	—
246	#3449	C₂²⋊C₄	1	2	yes	complemented
247	#3449	C₂²⋊C₄	1	2	yes	complemented
248	#3449	C₂²×C₄	1	2	yes	—
249	#3449	C₂×D₄	1	2	yes	—
250	#3449	C₂×D₄	1	2	yes	—
251	#3449	C₂×D₄	1	2	yes	—
252	#3449	C₂×D₄	1	2	yes	—
253	#3449	C₂⁴	1	2	yes	—
254	C₂×#536	C₂²⋊C₄	1	1	yes	characteristic, complemented
255	C₂×#536	C₂²⋊C₄	1	1	yes	characteristic, complemented
256	C₂×#536	C₂²×C₄	1	1	yes	characteristic
257	C₂×#536	C₂×D₄	1	1	yes	characteristic
258	C₂×#535	C₂²⋊C₄	1	1	yes	characteristic, complemented
259	C₂×#535	C₂²⋊C₄	1	1	yes	characteristic, complemented
260	C₂×#535	C₂²×C₄	1	1	yes	characteristic
261	C₂×#535	C₂×D₄	1	1	yes	characteristic
262	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
263	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
264	C₂×#532	C₂²×C₄	1	1	yes	characteristic
265	C₂×#532	C₂²×C₄	1	1	yes	characteristic
266	C₂×#532	C₂²×C₄	1	1	yes	characteristic
267	C₂×#532	C₂²×C₄	1	1	yes	characteristic
268	C₂×#532	C₂×D₄	1	1	yes	characteristic
269	C₂×#532	C₂×D₄	1	1	yes	characteristic
270	C₂×#532	C₂×D₄	1	1	yes	characteristic
271	C₂×#532	C₂×D₄	1	1	yes	characteristic
272	C₂×#532	C₂×D₄	1	1	yes	characteristic
273	C₂×#532	C₂×D₄	1	1	yes	characteristic
274	C₂×#532	C₂×D₄	1	1	yes	characteristic
275	C₂×#532	C₂×D₄	1	1	yes	characteristic
276	C₂×#532	C₂×D₄	1	1	yes	characteristic
277	C₂×#532	C₂×D₄	1	1	yes	characteristic
278	C₂×#532	C₂×D₄	1	1	yes	characteristic
279	C₂×#532	C₂×D₄	1	1	yes	characteristic
280	C₂×#532	C₂×D₄	1	1	yes	characteristic
281	C₂×#532	C₂×D₄	1	1	yes	characteristic
282	C₂×#532	C₂×D₄	1	1	yes	characteristic
283	C₂×#532	C₂×D₄	1	1	yes	characteristic
284	C₂×#532	C₂×D₄	1	1	yes	characteristic
285	C₂×#532	C₂×D₄	1	1	yes	characteristic
286	C₂×#532	C₂×D₄	1	2	yes	—
287	C₂×#532	C₂×D₄	1	2	yes	—
288	C₂×#532	C₂⁴	1	1	yes	characteristic
289	C₂×#532	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
291	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
292	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic, complemented
293	C₂²×#127	C₂×D₄	1	1	yes	characteristic
294	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
295	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
296	C₂²×#124	C₂×D₄	1	1	yes	characteristic
297	C₂²×#124	C₂×D₄	1	1	yes	characteristic
298	C₂×C₄×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
299	C₂×C₄×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
300	C₂×C₄×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
301	C₂×C₄×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
302	C₂×C₄×#41	C₂²⋊C₄	1	2	yes	complemented
303	C₂×C₄×#41	C₂²⋊C₄	1	2	yes	complemented
304	C₂×C₄×#41	C₂×D₄	1	2	yes	—
305	C₂×C₄×#41	C₂×D₄	1	2	yes	—
306	C₂²×#117	C₂×D₄	1	1	yes	characteristic
307	C₂²×#117	C₂×D₄	1	2	yes	—
308	C₂²×#117	C₂×D₄	1	2	yes	—
309	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
310	#3022	C₂²×C₄	1	8	yes	—
311	#3022	C₂²×C₄	1	8	yes	—
312	#3021	C₂²×C₄	1	8	yes	—
313	#3021	C₂²×C₄	1	8	yes	—
314	#3018	C₂²⋊C₄	1	4	yes	—
315	#3018	C₂²⋊C₄	1	4	yes	—
316	#3018	C₂²⋊C₄	1	4	yes	—
317	#3018	C₂²⋊C₄	1	4	yes	—
318	#3018	C₂²⋊C₄	1	4	yes	—
319	#3018	C₂²⋊C₄	1	4	yes	—
320	#3018	C₂²⋊C₄	1	4	yes	—
321	#3018	C₂²⋊C₄	1	4	yes	—
322	#3018	C₂²⋊C₄	1	4	yes	complemented
323	#3018	C₂²⋊C₄	1	4	yes	complemented
324	#3018	C₂²⋊C₄	1	4	yes	complemented
325	#3018	C₂²⋊C₄	1	4	yes	complemented
326	#3018	C₂²⋊C₄	1	4	yes	complemented
327	#3018	C₂²⋊C₄	1	4	yes	complemented
328	#3018	C₂²⋊C₄	1	4	yes	complemented
329	#3018	C₂²⋊C₄	1	4	yes	complemented
330	#3018	C₂²×C₄	1	4	yes	—
331	#3018	C₂²×C₄	1	4	yes	—
332	#3018	C₂²×C₄	1	4	yes	—
333	#3018	C₂²×C₄	1	4	yes	—
334	#3018	C₂²×C₄	1	4	yes	—
335	#3018	C₂²×C₄	1	4	yes	—
336	#3018	C₂²×C₄	1	4	yes	—
337	#3018	C₂²×C₄	1	4	yes	—
338	#3018	C₂×D₄	1	4	yes	—
339	#3018	C₂×D₄	1	4	yes	—
340	#3018	C₂×D₄	1	4	yes	—
341	#3018	C₂×D₄	1	4	yes	—
342	#3018	C₂×D₄	1	4	yes	—
343	#3018	C₂×D₄	1	4	yes	—
344	#3018	C₂×D₄	1	4	yes	—
345	#3018	C₂×D₄	1	4	yes	—
346	C₂×#456	C₂²⋊C₄	1	4	yes	complemented
347	C₂×#456	C₂²⋊C₄	1	4	yes	complemented
348	C₂×#456	C₂²⋊C₄	1	4	yes	complemented
349	C₂×#456	C₂²⋊C₄	1	4	yes	complemented
350	C₂×#456	C₂×D₄	1	4	yes	—
351	C₂×#456	C₂×D₄	1	4	yes	—
352	C₂×#454	C₂²⋊C₄	1	4	yes	complemented
353	C₂×#454	C₂²⋊C₄	1	4	yes	complemented
354	C₂×#454	C₂²⋊C₄	1	4	yes	complemented
355	C₂×#454	C₂²⋊C₄	1	4	yes	complemented
356	C₂×#454	C₂×D₄	1	4	yes	—
357	C₂×#454	C₂×D₄	1	4	yes	—
358	C₂×#455	C₂²⋊C₄	1	4	yes	—
359	C₂×#455	C₂²⋊C₄	1	4	yes	—
360	C₂×#455	C₂²⋊C₄	1	4	yes	—
361	C₂×#455	C₂²⋊C₄	1	4	yes	—
362	C₂×#455	C₂×D₄	1	4	yes	—
363	C₂×#455	C₂×D₄	1	4	yes	—
364	C₂×#453	C₂²⋊C₄	1	4	yes	—
365	C₂×#453	C₂²⋊C₄	1	4	yes	—
366	C₂×#453	C₂²⋊C₄	1	4	yes	—
367	C₂×#453	C₂²⋊C₄	1	4	yes	—
368	C₂×#453	C₂×D₄	1	4	yes	—
369	C₂×#453	C₂×D₄	1	4	yes	—
370	C₂×#421	C₂×D₄	1	8	yes	—
371	C₂×#421	C₂×D₄	1	8	yes	—
372	C₂²×#104	C₂×D₄	1	8	yes	—
373	C₂²×#104	C₂×D₄	1	8	yes	—
374	#2889	C₂²×C₄	1	8	yes	—
375	#2888	C₂²×C₄	1	8	yes	—
376	C₂×#413	C₂²×C₄	1	2	yes	—
377	C₂×#413	C₂²×C₄	1	2	yes	—
378	C₂×#413	C₂²×C₄	1	2	yes	—
379	C₂×#413	C₂²×C₄	1	2	yes	—
380	C₂×#413	C₂×D₄	1	2	yes	—
381	C₂×#413	C₂×D₄	1	2	yes	—
382	C₂×#413	C₂×D₄	1	2	yes	—
383	C₂×#413	C₂×D₄	1	2	yes	—
384	C₂×#413	C₂×D₄	1	2	yes	—
385	C₂×#413	C₂×D₄	1	2	yes	—
386	C₂×#413	C₂⁴	1	4	yes	—
387	C₂×#413	C₂⁴	1	2	yes	—
388	C₂×#413	C₂⁴	1	2	yes	—
389	C₂²×#101	C₂×D₄	1	2	yes	—
390	C₂²×#100	C₂×D₄	1	2	yes	—
391	C₂×#410	C₂⁴	1	4	yes	—
392	#2879	C₂×D₄	1	4	yes	—
393	#2879	C₂⁴	1	4	yes	—
394	#2297	C₂×D₄	1	4	yes	—
395	#2297	C₂⁴	1	4	yes	—
396	#585	C₂×C₂²⋊C₄	1	4	yes	—
397	#585	C₂×C₂²⋊C₄	1	4	yes	—
398	#585	C₂×C₂²⋊C₄	1	4	yes	—
399	#585	C₂×C₂²⋊C₄	1	4	yes	—
400	#585	C₂³×C₄	1	4	yes	—
401	#585	C₂³×C₄	1	4	yes	—
402	#585	C₂²×D₄	1	4	yes	—
403	#585	C₂²×D₄	1	4	yes	—
404	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	2	yes	—
405	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	2	yes	—
406	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	2	yes	—
407	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	2	yes	—
408	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	2	yes	—
409	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	2	yes	—
410	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	4	yes	—
411	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	4	yes	—
412	C₂×2₋¹⁺⁴	C₄×D₄	1	4	yes	—
413	C₂×2₋¹⁺⁴	C₄×D₄	1	4	yes	—
414	C₂×2₋¹⁺⁴	#121	1	4	yes	—
415	C₂×2₋¹⁺⁴	#121	1	4	yes	—
416	C₂×2₋¹⁺⁴	#123	1	4	yes	—
417	C₂×2₋¹⁺⁴	C₂³×C₄	1	2	yes	—
418	C₂×2₋¹⁺⁴	C₂²×D₄	1	2	yes	—
419	C₂×2₋¹⁺⁴	C₂²×D₄	1	4	yes	—
420	C₂×2₋¹⁺⁴	C₂×#41	1	4	yes	—
421	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
422	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
423	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
424	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
425	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
426	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
427	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	4	yes	—
428	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	4	yes	—
429	C₂×H(5,𝔽₂)	C₄×D₄	1	4	yes	—
430	C₂×H(5,𝔽₂)	C₄×D₄	1	4	yes	—
431	C₂×H(5,𝔽₂)	#121	1	4	yes	—
432	C₂×H(5,𝔽₂)	#121	1	4	yes	—
433	C₂×H(5,𝔽₂)	#123	1	4	yes	—
434	C₂×H(5,𝔽₂)	C₂³×C₄	1	2	yes	—
435	C₂×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
436	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
437	C₂×H(5,𝔽₂)	C₂×#41	1	4	yes	—
438	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
439	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
440	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
441	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
442	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
443	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
444	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
445	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
446	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
447	C₂²×#41	C₄×D₄	1	4	yes	—
448	C₂²×#41	C₄×D₄	1	2	yes	—
449	C₂²×#41	C₄×D₄	1	2	yes	—
450	C₂²×#41	C₄×D₄	1	4	yes	—
451	C₂²×#41	#120	1	1	yes	characteristic
452	C₂²×#41	#120	1	1	yes	characteristic
453	C₂²×#41	#120	1	1	yes	characteristic
454	C₂²×#41	#120	1	1	yes	characteristic
455	C₂²×#41	#120	1	1	yes	characteristic
456	C₂²×#41	#120	1	1	yes	characteristic
457	C₂²×#41	#120	1	2	yes	—
458	C₂²×#41	#120	1	4	yes	—
459	C₂²×#41	#120	1	4	yes	—
460	C₂²×#41	#120	1	2	yes	—
461	C₂²×#41	#120	1	2	yes	—
462	C₂²×#41	#120	1	1	yes	characteristic
463	C₂²×#41	#120	1	1	yes	characteristic
464	C₂²×#41	#121	1	4	yes	—
465	C₂²×#41	#121	1	2	yes	—
466	C₂²×#41	#121	1	2	yes	—
467	C₂²×#41	#121	1	4	yes	—
468	C₂²×#41	#123	1	2	yes	—
469	C₂²×#41	#123	1	2	yes	—
470	C₂²×#41	#123	1	2	yes	—
471	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
472	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
473	C₂²×#41	C₂²×D₄	1	2	yes	—
474	C₂²×#41	C₂²×D₄	1	2	yes	—
475	C₂²×#41	C₂²×D₄	1	4	yes	—
476	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
477	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
478	C₂²×#41	C₂²×D₄	1	4	yes	—
479	C₂²×#41	C₂²×D₄	1	2	yes	—
480	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
481	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
482	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
483	C₂²×#41	C₂²×D₄	1	2	yes	—
484	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
485	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
486	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
487	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
488	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
489	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
490	C₂²×#41	C₂×#41	1	2	yes	—
491	C₂²×#41	C₂×#41	1	2	yes	—
492	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
493	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
494	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
495	C₂²×#41	C₂⁵	1	1	yes	characteristic
496	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
497	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
498	C₂³×Q₈	C₄×D₄	1	2	yes	—
499	C₂³×Q₈	#120	1	1	yes	characteristic
500	C₂³×Q₈	#121	1	2	yes	—
501	C₂³×Q₈	#123	1	1	yes	characteristic
502	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
503	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
504	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
505	C₂³×D₄	C₄×D₄	1	2	yes	—
506	C₂³×D₄	#120	1	1	yes	characteristic
507	C₂³×D₄	#121	1	2	yes	—
508	C₂³×D₄	#123	1	1	yes	characteristic
509	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
510	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
511	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
512	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
513	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
514	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
515	#536	C₂×C₂²⋊C₄	1	2	yes	—
516	#536	C₂×C₂²⋊C₄	1	2	yes	—
517	#536	C₂×C₂²⋊C₄	1	2	yes	—
518	#536	C₂×C₂²⋊C₄	1	2	yes	—
519	#536	C₂×C₂²⋊C₄	1	2	yes	—
520	#536	C₂×C₂²⋊C₄	1	2	yes	—
521	#536	C₂³×C₄	1	2	yes	—
522	#536	C₂²×D₄	1	2	yes	—
523	#535	C₂×C₂²⋊C₄	1	2	yes	—
524	#535	C₂×C₂²⋊C₄	1	2	yes	—
525	#535	C₂×C₂²⋊C₄	1	2	yes	—
526	#535	C₂×C₂²⋊C₄	1	2	yes	—
527	#535	C₂×C₂²⋊C₄	1	2	yes	—
528	#535	C₂×C₂²⋊C₄	1	2	yes	—
529	#535	C₂³×C₄	1	2	yes	—
530	#535	C₂²×D₄	1	2	yes	—
531	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
532	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
533	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
534	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
535	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
536	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
537	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
538	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
539	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
540	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
541	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
542	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
543	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
544	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
545	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
546	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
547	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
548	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
549	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
550	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
551	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
552	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
553	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
554	#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
555	#532	#120	1	1	yes	characteristic
556	#532	#120	1	1	yes	characteristic
557	#532	#120	1	1	yes	characteristic
558	#532	#120	1	1	yes	characteristic
559	#532	#120	1	1	yes	characteristic
560	#532	#120	1	1	yes	characteristic
561	#532	#120	1	1	yes	characteristic
562	#532	#120	1	1	yes	characteristic
563	#532	#120	1	1	yes	characteristic
564	#532	#120	1	1	yes	characteristic
565	#532	#120	1	1	yes	characteristic
566	#532	#120	1	1	yes	characteristic
567	#532	#120	1	1	yes	characteristic
568	#532	#120	1	1	yes	characteristic
569	#532	#120	1	1	yes	characteristic
570	#532	#120	1	1	yes	characteristic
571	#532	#120	1	1	yes	characteristic
572	#532	#120	1	1	yes	characteristic
573	#532	#120	1	1	yes	characteristic
574	#532	#120	1	1	yes	characteristic
575	#532	#120	1	1	yes	characteristic
576	#532	#120	1	1	yes	characteristic
577	#532	#120	1	1	yes	characteristic
578	#532	#120	1	1	yes	characteristic
579	#532	C₂³×C₄	1	1	yes	characteristic
580	#532	C₂³×C₄	1	1	yes	characteristic
581	#532	C₂³×C₄	1	1	yes	characteristic
582	#532	C₂³×C₄	1	1	yes	characteristic
583	#532	C₂²×D₄	1	1	yes	characteristic
584	#532	C₂²×D₄	1	1	yes	characteristic
585	#532	C₂²×D₄	1	1	yes	characteristic
586	#532	C₂²×D₄	1	1	yes	characteristic
587	#532	C₂²×D₄	1	1	yes	characteristic
588	#532	C₂²×D₄	1	1	yes	characteristic
589	#532	C₂²×D₄	1	1	yes	characteristic
590	#532	C₂²×D₄	1	1	yes	characteristic
591	#532	C₂²×D₄	1	1	yes	characteristic
592	#532	C₂²×D₄	1	1	yes	characteristic
593	#532	C₂²×D₄	1	1	yes	characteristic
594	#532	C₂²×D₄	1	1	yes	characteristic
595	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
596	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
597	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
598	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
599	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
600	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
601	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
602	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
603	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
604	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
605	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
606	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
607	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
608	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
609	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
610	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
611	C₂×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
612	C₂×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
613	C₂×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
614	C₂×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
615	C₂×#127	#120	1	1	yes	characteristic
616	C₂×#127	#120	1	1	yes	characteristic
617	C₂×#127	#120	1	1	yes	characteristic
618	C₂×#127	#120	1	1	yes	characteristic
619	C₂×#127	#120	1	1	yes	characteristic
620	C₂×#127	#120	1	1	yes	characteristic
621	C₂×#127	C₂²×D₄	1	1	yes	characteristic
622	C₂×#127	C₂²×D₄	1	1	yes	characteristic
623	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
624	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
625	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
626	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
627	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
628	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
629	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
630	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
631	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
632	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
633	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
634	C₂×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
635	C₂×#124	#120	1	1	yes	characteristic
636	C₂×#124	#120	1	1	yes	characteristic
637	C₂×#124	#120	1	1	yes	characteristic
638	C₂×#124	#120	1	1	yes	characteristic
639	C₂×#124	#120	1	1	yes	characteristic
640	C₂×#124	#120	1	1	yes	characteristic
641	C₂×#124	#120	1	1	yes	characteristic
642	C₂×#124	#120	1	1	yes	characteristic
643	C₂×#124	#120	1	1	yes	characteristic
644	C₂×#124	#120	1	1	yes	characteristic
645	C₂×#124	#120	1	1	yes	characteristic
646	C₂×#124	#120	1	1	yes	characteristic
647	C₂×#124	C₂²×D₄	1	1	yes	characteristic
648	C₂×#124	C₂²×D₄	1	1	yes	characteristic
649	C₂×#124	C₂²×D₄	1	1	yes	characteristic
650	C₂×#124	C₂²×D₄	1	1	yes	characteristic
651	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
652	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
653	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
654	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
655	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
656	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
657	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
658	C₄×#41	C₂×C₂²⋊C₄	1	2	yes	—
659	C₂×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
660	C₂×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
661	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
662	C₂×#117	C₂²×D₄	1	2	yes	—
663	C₂×#117	C₂²×D₄	1	4	yes	—
664	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
665	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
666	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
667	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
668	C₂²×C₄²	#120	1	1	yes	characteristic
669	C₂²×C₄²	#120	1	1	yes	characteristic
670	C₂²×C₄²	#120	1	1	yes	characteristic
671	C₂²×C₄²	#120	1	1	yes	characteristic
672	C₂²×C₄²	#120	1	1	yes	characteristic
673	C₂²×C₄²	#120	1	1	yes	characteristic
674	C₂²×C₄²	#120	1	1	yes	characteristic
675	C₂²×C₄²	#120	1	1	yes	characteristic
676	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
677	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
678	C₂²×C₄²	C₂²×D₄	1	4	yes	—
679	#456	C₂×C₂²⋊C₄	1	8	yes	—
680	#456	C₂×C₂²⋊C₄	1	8	yes	—
681	#456	C₂×C₂²⋊C₄	1	8	yes	—
682	#456	C₂×C₂²⋊C₄	1	8	yes	—
683	#455	C₂×C₂²⋊C₄	1	8	yes	—
684	#455	C₂×C₂²⋊C₄	1	8	yes	—
685	#455	C₂×C₂²⋊C₄	1	8	yes	—
686	#455	C₂×C₂²⋊C₄	1	8	yes	—
687	#454	C₂×C₂²⋊C₄	1	8	yes	—
688	#454	C₂×C₂²⋊C₄	1	8	yes	—
689	#454	C₂×C₂²⋊C₄	1	8	yes	—
690	#454	C₂×C₂²⋊C₄	1	8	yes	—
691	#453	C₂×C₂²⋊C₄	1	8	yes	—
692	#453	C₂×C₂²⋊C₄	1	8	yes	—
693	#453	C₂×C₂²⋊C₄	1	8	yes	—
694	#453	C₂×C₂²⋊C₄	1	8	yes	—
695	#413	C₂×C₂²⋊C₄	1	4	yes	—
696	#413	C₂×C₂²⋊C₄	1	4	yes	—
697	#413	C₂×C₂²⋊C₄	1	4	yes	—
698	#413	C₂×C₂²⋊C₄	1	4	yes	—
699	#413	C₂³×C₄	1	4	yes	—
700	#413	C₂³×C₄	1	4	yes	—
701	#413	C₂²×D₄	1	4	yes	—
702	#413	C₂²×D₄	1	4	yes	—
703	C₂×#101	C₂×C₂²⋊C₄	1	4	yes	—
704	C₂×#101	C₂×C₂²⋊C₄	1	4	yes	—
705	C₂×#101	C₂²×D₄	1	4	yes	—
706	C₂×#100	C₂×C₂²⋊C₄	1	4	yes	—
707	C₂×#100	C₂×C₂²⋊C₄	1	4	yes	—
708	C₂×#100	C₂²×D₄	1	4	yes	—
709	C₂⁵	#534	1	1	yes	characteristic
710	C₂⁵	D₄²	1	2	yes	—
711	2₋¹⁺⁴	C₂²×C₂²⋊C₄	1	8	yes	—
712	H(5,𝔽₂)	C₂²×C₂²⋊C₄	1	8	yes	—
713	C₂×#41	#379	1	1	yes	characteristic
714	C₂×#41	#379	1	1	yes	characteristic
715	C₂×#41	#379	1	1	yes	characteristic
716	C₂×#41	#379	1	1	yes	characteristic
717	C₂×#41	#379	1	1	yes	characteristic
718	C₂×#41	#379	1	1	yes	characteristic
719	C₂×#41	#379	1	1	yes	characteristic
720	C₂×#41	#379	1	1	yes	characteristic
721	C₂×#41	#386	1	2	yes	—
722	C₂×#41	#386	1	2	yes	—
723	C₂×#41	#386	1	4	yes	—
724	C₂×#41	#386	1	4	yes	—
725	C₂×#41	#386	1	4	yes	—
726	C₂×#41	#386	1	4	yes	—
727	C₂×#41	#386	1	4	yes	—
728	C₂×#41	#386	1	2	yes	—
729	C₂×#41	#386	1	2	yes	—
730	C₂×#41	#386	1	4	yes	—
731	C₂×#41	B(4,𝔽₂)	1	2	yes	—
732	C₂×#41	B(4,𝔽₂)	1	2	yes	—
733	C₂×#41	B(4,𝔽₂)	1	2	yes	—
734	C₂×#41	B(4,𝔽₂)	1	2	yes	—
735	C₂×#41	B(4,𝔽₂)	1	2	yes	—
736	C₂×#41	B(4,𝔽₂)	1	2	yes	—
737	C₂×#41	B(4,𝔽₂)	1	2	yes	—
738	C₂×#41	B(4,𝔽₂)	1	2	yes	—
739	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
740	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
741	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
742	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
743	C₂×#41	C₂²×C₂²⋊C₄	1	2	yes	—
744	C₂×#41	C₂²×C₂²⋊C₄	1	2	yes	—
745	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
746	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
747	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
748	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
749	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
750	C₂×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
751	C₂×#41	C₂×C₄×D₄	1	4	yes	—
752	C₂×#41	C₂×C₄×D₄	1	4	yes	—
753	C₂×#41	C₂×C₄×D₄	1	2	yes	—
754	C₂×#41	C₂×C₄×D₄	1	2	yes	—
755	C₂×#41	#518	1	2	yes	—
756	C₂×#41	#518	1	2	yes	—
757	C₂×#41	C₂×#120	1	1	yes	characteristic
758	C₂×#41	C₂×#120	1	1	yes	characteristic
759	C₂×#41	C₂×#120	1	1	yes	characteristic
760	C₂×#41	C₂×#120	1	1	yes	characteristic
761	C₂×#41	C₂×#120	1	4	yes	—
762	C₂×#41	C₂×#120	1	2	yes	—
763	C₂×#41	C₂×#120	1	2	yes	—
764	C₂×#41	C₂×#120	1	1	yes	characteristic
765	C₂×#41	C₂×#120	1	1	yes	characteristic
766	C₂×#41	C₂×#120	1	1	yes	characteristic
767	C₂×#41	C₂×#120	1	1	yes	characteristic
768	C₂×#41	C₂×#120	1	1	yes	characteristic
769	C₂×#41	C₂×#120	1	1	yes	characteristic
770	C₂×#41	C₂×#121	1	4	yes	—
771	C₂×#41	C₂×#121	1	4	yes	—
772	C₂×#41	C₂×#121	1	2	yes	—
773	C₂×#41	C₂×#121	1	2	yes	—
774	C₂×#41	C₂×#123	1	4	yes	—
775	C₂×#41	C₂×#123	1	2	yes	—
776	C₂×#41	#534	1	2	yes	—
777	C₂×#41	#534	1	2	yes	—
778	C₂×#41	#534	1	2	yes	—
779	C₂×#41	D₄²	1	2	yes	—
780	C₂×#41	D₄²	1	2	yes	—
781	C₂×#41	D₄²	1	2	yes	—
782	C₂×#41	D₄²	1	2	yes	—
783	C₂×#41	#546	1	2	yes	—
784	C₂×#41	#546	1	2	yes	—
785	C₂×#41	#546	1	2	yes	—
786	C₂×#41	#546	1	2	yes	—
787	C₂×#41	#546	1	2	yes	—
788	C₂×#41	#546	1	2	yes	—
789	C₂×#41	#546	1	2	yes	—
790	C₂×#41	#546	1	2	yes	—
791	C₂×#41	C₂⁴×C₄	1	1	yes	characteristic
792	C₂×#41	C₂³×D₄	1	1	yes	characteristic
793	C₂×#41	C₂³×D₄	1	1	yes	characteristic
794	C₂×#41	C₂³×D₄	1	1	yes	characteristic
795	C₂×#41	C₂²×#41	1	2	yes	—
796	C₂×#41	C₂×H(5,𝔽₂)	1	2	yes	—
797	C₂²×Q₈	#379	1	1	yes	characteristic
798	C₂²×Q₈	#379	1	1	yes	characteristic
799	C₂²×Q₈	#379	1	1	yes	characteristic
800	C₂²×Q₈	#379	1	1	yes	characteristic
801	C₂²×Q₈	#386	1	2	yes	—
802	C₂²×Q₈	#386	1	2	yes	—
803	C₂²×Q₈	#386	1	4	yes	—
804	C₂²×Q₈	#386	1	4	yes	—
805	C₂²×Q₈	#386	1	1	yes	characteristic
806	C₂²×Q₈	#386	1	1	yes	characteristic
807	C₂²×Q₈	#386	1	2	yes	—
808	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
809	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
810	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
811	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
812	C₂²×Q₈	C₂×C₄×D₄	1	4	yes	—
813	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
814	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
815	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
816	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
817	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
818	C₂²×Q₈	C₂×#121	1	4	yes	—
819	C₂²×Q₈	C₂×#123	1	2	yes	—
820	C₂²×Q₈	D₄²	1	2	yes	—
821	C₂²×Q₈	#546	1	2	yes	—
822	C₂²×Q₈	#546	1	2	yes	—
823	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
824	C₂²×D₄	#379	1	1	yes	characteristic
825	C₂²×D₄	#379	1	1	yes	characteristic
826	C₂²×D₄	#379	1	1	yes	characteristic
827	C₂²×D₄	#379	1	1	yes	characteristic
828	C₂²×D₄	#386	1	2	yes	—
829	C₂²×D₄	#386	1	2	yes	—
830	C₂²×D₄	#386	1	4	yes	—
831	C₂²×D₄	#386	1	4	yes	—
832	C₂²×D₄	#386	1	1	yes	characteristic
833	C₂²×D₄	#386	1	1	yes	characteristic
834	C₂²×D₄	#386	1	2	yes	—
835	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
836	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
837	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
838	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
839	C₂²×D₄	C₂×C₄×D₄	1	4	yes	—
840	C₂²×D₄	#518	1	2	yes	—
841	C₂²×D₄	#518	1	2	yes	—
842	C₂²×D₄	C₂×#120	1	1	yes	characteristic
843	C₂²×D₄	C₂×#120	1	1	yes	characteristic
844	C₂²×D₄	C₂×#120	1	1	yes	characteristic
845	C₂²×D₄	C₂×#120	1	1	yes	characteristic
846	C₂²×D₄	C₂×#120	1	1	yes	characteristic
847	C₂²×D₄	C₂×#121	1	4	yes	—
848	C₂²×D₄	C₂×#123	1	2	yes	—
849	C₂²×D₄	#534	1	2	yes	—
850	C₂²×D₄	#534	1	2	yes	—
851	C₂²×D₄	#534	1	2	yes	—
852	C₂²×D₄	D₄²	1	2	yes	—
853	C₂²×D₄	D₄²	1	2	yes	—
854	C₂²×D₄	D₄²	1	2	yes	—
855	C₂²×D₄	#546	1	2	yes	—
856	C₂²×D₄	#546	1	2	yes	—
857	C₂²×D₄	#546	1	2	yes	—
858	C₂²×D₄	#546	1	2	yes	—
859	C₂²×D₄	#546	1	2	yes	—
860	C₂²×D₄	#546	1	2	yes	—
861	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
862	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
863	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
864	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
865	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
866	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
867	C₂³×C₄	C₂×#120	1	2	yes	—
868	C₂³×C₄	C₂×#120	1	1	yes	characteristic
869	C₂³×C₄	C₂×#120	1	1	yes	characteristic
870	C₂³×C₄	C₂×#120	1	1	yes	characteristic
871	C₂³×C₄	C₂×#120	1	1	yes	characteristic
872	C₂³×C₄	C₂×#120	1	1	yes	characteristic
873	C₂³×C₄	C₂×#120	1	1	yes	characteristic
874	C₂³×C₄	C₂×#121	1	2	yes	—
875	C₂³×C₄	C₂×#121	1	2	yes	—
876	C₂³×C₄	C₂×#123	1	1	yes	characteristic
877	C₂³×C₄	C₂×#123	1	1	yes	characteristic
878	C₂³×C₄	#534	1	1	yes	characteristic
879	C₂³×C₄	#534	1	1	yes	characteristic
880	C₂³×C₄	#534	1	1	yes	characteristic
881	C₂³×C₄	D₄²	1	2	yes	—
882	C₂³×C₄	D₄²	1	2	yes	—
883	C₂³×C₄	D₄²	1	2	yes	—
884	C₂³×C₄	D₄²	1	2	yes	—
885	C₂³×C₄	D₄²	1	2	yes	—
886	C₂³×C₄	D₄²	1	2	yes	—
887	C₂³×C₄	D₄²	1	2	yes	—
888	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
889	C₂³×C₄	C₂³×D₄	1	2	yes	—
890	C₄⋊Q₈	#379	1	1	yes	characteristic
891	C₄⋊Q₈	#379	1	1	yes	characteristic
892	C₄⋊Q₈	#379	1	1	yes	characteristic
893	C₄⋊Q₈	#379	1	1	yes	characteristic
894	C₄⋊Q₈	#379	1	1	yes	characteristic
895	C₄⋊Q₈	#379	1	1	yes	characteristic
896	C₄⋊Q₈	#379	1	1	yes	characteristic
897	C₄⋊Q₈	#379	1	1	yes	characteristic
898	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
899	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
900	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
901	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
902	C₄⋊Q₈	C₂×#120	1	1	yes	characteristic
903	C₄⋊Q₈	C₂×#120	1	1	yes	characteristic
904	C₄⋊Q₈	C₂×#120	1	1	yes	characteristic
905	C₄⋊Q₈	C₂×#120	1	1	yes	characteristic
906	#127	#379	1	1	yes	characteristic
907	#127	#379	1	1	yes	characteristic
908	#127	#379	1	1	yes	characteristic
909	#127	#379	1	1	yes	characteristic
910	#127	#379	1	1	yes	characteristic
911	#127	#379	1	1	yes	characteristic
912	#127	#379	1	1	yes	characteristic
913	#127	#379	1	1	yes	characteristic
914	#127	C₂²×C₂²⋊C₄	1	1	yes	characteristic
915	#127	C₂²×C₂²⋊C₄	1	1	yes	characteristic
916	#127	C₂²×C₂²⋊C₄	1	1	yes	characteristic
917	#127	C₂²×C₂²⋊C₄	1	1	yes	characteristic
918	#127	C₂×#120	1	1	yes	characteristic
919	#127	C₂×#120	1	1	yes	characteristic
920	#127	C₂×#120	1	1	yes	characteristic
921	#127	C₂×#120	1	1	yes	characteristic
922	#124	#379	1	1	yes	characteristic
923	#124	#379	1	1	yes	characteristic
924	#124	#379	1	1	yes	characteristic
925	#124	#379	1	1	yes	characteristic
926	#124	#379	1	1	yes	characteristic
927	#124	#379	1	1	yes	characteristic
928	#124	#379	1	1	yes	characteristic
929	#124	#379	1	1	yes	characteristic
930	#124	#379	1	1	yes	characteristic
931	#124	#379	1	1	yes	characteristic
932	#124	#379	1	1	yes	characteristic
933	#124	#379	1	1	yes	characteristic
934	#124	#379	1	1	yes	characteristic
935	#124	#379	1	1	yes	characteristic
936	#124	#379	1	1	yes	characteristic
937	#124	#379	1	1	yes	characteristic
938	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
939	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
940	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
941	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
942	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
943	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
944	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
945	#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
946	#124	C₂×#120	1	1	yes	characteristic
947	#124	C₂×#120	1	1	yes	characteristic
948	#124	C₂×#120	1	1	yes	characteristic
949	#124	C₂×#120	1	1	yes	characteristic
950	#124	C₂×#120	1	1	yes	characteristic
951	#124	C₂×#120	1	1	yes	characteristic
952	#124	C₂×#120	1	1	yes	characteristic
953	#124	C₂×#120	1	1	yes	characteristic
954	#117	C₂²×C₂²⋊C₄	1	2	yes	—
955	#117	C₂²×C₂²⋊C₄	1	2	yes	—
956	C₂×C₄²	#379	1	1	yes	characteristic
957	C₂×C₄²	#379	1	1	yes	characteristic
958	C₂×C₄²	#379	1	1	yes	characteristic
959	C₂×C₄²	#379	1	1	yes	characteristic
960	C₂×C₄²	#379	1	1	yes	characteristic
961	C₂×C₄²	#379	1	1	yes	characteristic
962	C₂×C₄²	#379	1	1	yes	characteristic
963	C₂×C₄²	#379	1	1	yes	characteristic
964	C₂×C₄²	#379	1	1	yes	characteristic
965	C₂×C₄²	#379	1	1	yes	characteristic
966	C₂×C₄²	#379	1	1	yes	characteristic
967	C₂×C₄²	#379	1	1	yes	characteristic
968	C₂×C₄²	#379	1	1	yes	characteristic
969	C₂×C₄²	#379	1	1	yes	characteristic
970	C₂×C₄²	#379	1	1	yes	characteristic
971	C₂×C₄²	#379	1	1	yes	characteristic
972	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
973	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
974	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
975	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
976	C₂×C₄²	C₂×#120	1	1	yes	characteristic
977	C₂×C₄²	C₂×#120	1	1	yes	characteristic
978	C₂×C₄²	C₂×#120	1	1	yes	characteristic
979	C₂×C₄²	C₂×#120	1	1	yes	characteristic
980	C₂×C₄²	C₂×#120	1	1	yes	characteristic
981	C₂×C₄²	C₂×#120	1	1	yes	characteristic
982	C₂×C₄²	C₂×#120	1	1	yes	characteristic
983	C₂×C₄²	C₂×#120	1	1	yes	characteristic
984	#101	C₂²×C₂²⋊C₄	1	8	yes	—
985	#100	C₂²×C₂²⋊C₄	1	8	yes	—
986	C₂⁴	#2308	1	1	yes	characteristic
987	C₂⁴	#2308	1	1	yes	characteristic
988	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
989	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
990	C₂⁴	#2403	1	2	yes	—
991	C₂⁴	#2403	1	1	yes	characteristic
992	C₂⁴	#2403	1	1	yes	characteristic
993	C₂⁴	#2405	1	1	yes	characteristic
994	C₂⁴	#2405	1	1	yes	characteristic
995	C₂⁴	#2410	1	2	yes	—
996	C₂⁴	#2410	1	2	yes	—
997	C₂⁴	C₂×#534	1	1	yes	characteristic
998	C₂⁴	C₂×D₄²	1	2	yes	—
999	#41	#1889	1	4	yes	—
1000	#41	#1889	1	4	yes	—
1001	#41	#1889	1	4	yes	—
1002	#41	#1889	1	4	yes	—
1003	#41	C₂×B(4,𝔽₂)	1	4	yes	—
1004	#41	C₂×B(4,𝔽₂)	1	4	yes	—
1005	#41	C₂×B(4,𝔽₂)	1	4	yes	—
1006	#41	C₂×B(4,𝔽₂)	1	4	yes	—
1007	C₂×Q₈	#1889	1	2	yes	—
1008	C₂×Q₈	#1889	1	2	yes	—
1009	C₂×Q₈	#1889	1	2	yes	—
1010	C₂×Q₈	#1889	1	2	yes	—
1011	C₂×Q₈	C₂×#379	1	1	yes	characteristic
1012	C₂×Q₈	C₂×#379	1	1	yes	characteristic
1013	C₂×Q₈	C₂×#379	1	1	yes	characteristic
1014	C₂×Q₈	C₂×#379	1	1	yes	characteristic
1015	C₂×Q₈	C₂×#379	1	1	yes	characteristic
1016	C₂×Q₈	C₂×#379	1	1	yes	characteristic
1017	C₂×Q₈	C₂×#386	1	4	yes	—
1018	C₂×Q₈	C₂×#386	1	2	yes	—
1019	C₂×Q₈	C₂×#386	1	2	yes	—
1020	C₂×Q₈	D₄×C₂²⋊C₄	1	2	yes	—
1021	C₂×Q₈	D₄×C₂²⋊C₄	1	2	yes	—
1022	C₂×Q₈	#2405	1	2	yes	—
1023	C₂×Q₈	#2410	1	2	yes	—
1024	C₂×Q₈	#2410	1	2	yes	—
1025	C₂×Q₈	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1026	C₂×Q₈	C₂²×#120	1	1	yes	characteristic
1027	C₂×Q₈	C₂×#546	1	2	yes	—
1028	C₂×D₄	#1889	1	2	yes	—
1029	C₂×D₄	#1889	1	2	yes	—
1030	C₂×D₄	#1889	1	2	yes	—
1031	C₂×D₄	#1889	1	2	yes	—
1032	C₂×D₄	C₂×#379	1	1	yes	characteristic
1033	C₂×D₄	C₂×#379	1	1	yes	characteristic
1034	C₂×D₄	C₂×#379	1	1	yes	characteristic
1035	C₂×D₄	C₂×#379	1	1	yes	characteristic
1036	C₂×D₄	C₂×#379	1	1	yes	characteristic
1037	C₂×D₄	C₂×#379	1	1	yes	characteristic
1038	C₂×D₄	C₂×#386	1	4	yes	—
1039	C₂×D₄	C₂×#386	1	2	yes	—
1040	C₂×D₄	C₂×#386	1	2	yes	—
1041	C₂×D₄	#2308	1	2	yes	—
1042	C₂×D₄	#2308	1	2	yes	—
1043	C₂×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1044	C₂×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1045	C₂×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1046	C₂×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1047	C₂×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1048	C₂×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1049	C₂×D₄	#2405	1	2	yes	—
1050	C₂×D₄	#2405	1	2	yes	—
1051	C₂×D₄	#2405	1	2	yes	—
1052	C₂×D₄	#2410	1	2	yes	—
1053	C₂×D₄	#2410	1	2	yes	—
1054	C₂×D₄	#2410	1	2	yes	—
1055	C₂×D₄	#2410	1	2	yes	—
1056	C₂×D₄	#2410	1	2	yes	—
1057	C₂×D₄	#2410	1	2	yes	—
1058	C₂×D₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1059	C₂×D₄	C₂×#518	1	2	yes	—
1060	C₂×D₄	C₂²×#120	1	1	yes	characteristic
1061	C₂×D₄	C₂×#534	1	2	yes	—
1062	C₂×D₄	C₂×#546	1	2	yes	—
1063	C₂×D₄	C₂×#546	1	2	yes	—
1064	C₂×D₄	C₂×#546	1	2	yes	—
1065	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1066	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1067	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1068	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1069	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1070	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1071	C₂²×C₄	C₂×#386	1	2	yes	—
1072	C₂²×C₄	C₂×#386	1	2	yes	—
1073	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1074	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1075	C₂²×C₄	#2308	1	1	yes	characteristic
1076	C₂²×C₄	#2308	1	1	yes	characteristic
1077	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1078	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1079	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1080	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1081	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1082	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1083	C₂²×C₄	#2403	1	1	yes	characteristic
1084	C₂²×C₄	#2403	1	2	yes	—
1085	C₂²×C₄	#2403	1	1	yes	characteristic
1086	C₂²×C₄	#2403	1	1	yes	characteristic
1087	C₂²×C₄	#2403	1	2	yes	—
1088	C₂²×C₄	#2403	1	2	yes	—
1089	C₂²×C₄	#2403	1	1	yes	characteristic
1090	C₂²×C₄	#2403	1	1	yes	characteristic
1091	C₂²×C₄	#2403	1	1	yes	characteristic
1092	C₂²×C₄	#2405	1	1	yes	characteristic
1093	C₂²×C₄	#2405	1	1	yes	characteristic
1094	C₂²×C₄	#2405	1	1	yes	characteristic
1095	C₂²×C₄	#2405	1	1	yes	characteristic
1096	C₂²×C₄	#2405	1	1	yes	characteristic
1097	C₂²×C₄	#2405	1	1	yes	characteristic
1098	C₂²×C₄	#2410	1	2	yes	—
1099	C₂²×C₄	#2410	1	2	yes	—
1100	C₂²×C₄	#2410	1	2	yes	—
1101	C₂²×C₄	#2410	1	2	yes	—
1102	C₂²×C₄	#2410	1	2	yes	—
1103	C₂²×C₄	#2410	1	2	yes	—
1104	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1105	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1106	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1107	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1108	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1109	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1110	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1111	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1113	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1114	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1115	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1116	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1117	C₂²×C₄	C₂²×#121	1	2	yes	—
1118	C₂²×C₄	C₂²×#123	1	1	yes	characteristic
1119	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1120	C₂²×C₄	C₂×D₄²	1	2	yes	—
1121	C₂²×C₄	C₂×D₄²	1	2	yes	—
1122	C₂²×C₄	C₂×D₄²	1	2	yes	—
1123	C₄²	C₂×#379	1	1	yes	characteristic
1124	C₄²	C₂×#379	1	1	yes	characteristic
1125	C₄²	C₂×#379	1	1	yes	characteristic
1126	C₄²	C₂×#379	1	1	yes	characteristic
1127	C₄²	C₂×#379	1	1	yes	characteristic
1128	C₄²	C₂×#379	1	1	yes	characteristic
1129	C₄²	C₂×#379	1	1	yes	characteristic
1130	C₄²	C₂×#379	1	1	yes	characteristic
1131	C₂³	#13867	1	2	yes	—
1132	C₂³	#13867	1	2	yes	—
1133	C₂³	#13867	1	1	yes	characteristic
1134	C₂³	#13867	1	1	yes	characteristic
1135	C₂³	#13867	1	1	yes	characteristic
1136	C₂³	#13867	1	1	yes	characteristic
1137	C₂³	#23900	1	1	yes	characteristic
1138	C₂³	#23900	1	1	yes	characteristic
1139	C₂³	#23900	1	1	yes	characteristic
1140	C₂³	#23900	1	1	yes	characteristic
1141	C₂³	C₂×#2308	1	1	yes	characteristic
1142	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1143	C₂³	C₂×#2403	1	1	yes	characteristic
1144	C₂³	C₂×#2410	1	2	yes	—
1145	C₂³	C₂×#2405	1	1	yes	characteristic
1146	Q₈	C₂×#1889	1	4	yes	—
1147	Q₈	C₂×#1889	1	4	yes	—
1148	D₄	C₂×#1889	1	4	yes	—
1149	D₄	C₂×#1889	1	4	yes	—
1150	C₂×C₄	#13867	1	1	yes	characteristic
1151	C₂×C₄	#13867	1	1	yes	characteristic
1152	C₂×C₄	#13867	1	2	yes	—
1153	C₂×C₄	#13867	1	2	yes	—
1154	C₂×C₄	#13867	1	1	yes	characteristic
1155	C₂×C₄	#13867	1	1	yes	characteristic
1156	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1157	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1158	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1159	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1160	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1161	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1162	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1163	C₂×C₄	C₂×#1889	1	1	yes	characteristic
1164	C₂×C₄	#23900	1	1	yes	characteristic
1165	C₂×C₄	#23900	1	1	yes	characteristic
1166	C₂×C₄	#23900	1	1	yes	characteristic
1167	C₂×C₄	#23900	1	1	yes	characteristic
1168	C₂×C₄	#23900	1	1	yes	characteristic
1169	C₂×C₄	#23900	1	1	yes	characteristic
1170	C₂×C₄	#23900	1	1	yes	characteristic
1171	C₂×C₄	#23900	1	1	yes	characteristic
1172	C₂×C₄	#23900	1	1	yes	characteristic
1173	C₂×C₄	#23900	1	1	yes	characteristic
1174	C₂×C₄	#23900	1	1	yes	characteristic
1175	C₂×C₄	#23900	1	1	yes	characteristic
1176	C₂×C₄	C₂²×#379	1	1	yes	characteristic
1177	C₂×C₄	C₂²×#386	1	1	yes	characteristic
1178	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1179	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1180	C₂×C₄	C₂×#2410	1	2	yes	—
1181	C₂×C₄	C₂×#2405	1	1	yes	characteristic
1182	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1183	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1184	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1185	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1186	C₂²	#359501	1	1	yes	characteristic
1187	C₂²	#359501	1	1	yes	characteristic
1188	C₂²	#359501	1	1	yes	characteristic
1189	C₂²	#359501	1	1	yes	characteristic
1190	C₂²	C₂×#13867	1	1	yes	characteristic
1191	C₂²	C₂×#23900	1	1	yes	characteristic
1192	C₂²	C₂×#23900	1	1	yes	characteristic
1193	C₄	#359501	1	1	yes	characteristic
1194	C₄	#359501	1	1	yes	characteristic
1195	C₄	#359501	1	1	yes	characteristic
1196	C₄	#359501	1	1	yes	characteristic
1197	C₄	C₂²×#1889	1	1	yes	characteristic
1198	C₄	C₂²×#1889	1	1	yes	characteristic
1199	C₄	C₂×#23900	1	1	yes	characteristic
1200	C₄	C₂×#23900	1	1	yes	characteristic
1201	C₂	C₂×#359501	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×#23900
commutator	C₂×#41	C₂⁴×C₄
Frattini, cosocle	C₂²×#41	C₂⁵
socle	C₂	C₂×#359501
prime radical	C₂×#10574854	C₂
LCS	G ▷ C₂×#41 ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₄ ◁ C₂³×C₄ ◁ C₂²×#585 ◁ G
LECS	G ▷ C₂²×#41 ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72315283	C₂	semidirect
2. C₂×#494609	C₂	semidirect
3. C₂×#494605	C₂	semidirect
4. #72312474	C₂	semidirect
6. #72303705	C₂	semidirect
7. #72303703	C₂	semidirect
8. C₂×#493419	C₂	semidirect
9. #72287849	C₂	semidirect
10. #72280922	C₂	semidirect
11. #72280748	C₂	semidirect
12. #72267983	C₂	semidirect
13. #72257152	C₂	semidirect
16. #10574854	C₄	semidirect
17. #10574854	C₄	semidirect
20. C₂×#60391	C₄	semidirect
21. C₂×#60389	C₄	semidirect
22. C₂×#60390	C₄	semidirect
23. C₂×#60388	C₄	semidirect
28. C₂×#60232	C₂²	semidirect
30. #7625999	C₂²	semidirect
31. C₂²×#2132	C₂²	semidirect
32. C₂²×#2126	C₂²	semidirect
33. C₂×#33347	C₂²	semidirect
34. #6386078	C₂²	semidirect
35. #6386077	C₂²	semidirect
36. #6374181	C₂²	semidirect
38. C₂×#20620	C₂²	semidirect
39. #6370746	C₂²	semidirect
40. C₂×#20612	C₂²	semidirect
41. #6370734	C₂²	semidirect
43. #494616	C₂²	semidirect
44. #494613	C₂²	semidirect
45. #494609	C₂²	semidirect
46. #494609	C₂²	semidirect
47. #494605	C₂²	semidirect
48. #494605	C₂²	semidirect
49. #494595	C₂²	semidirect
50. #494592	C₂²	semidirect
51. #493419	C₂²	semidirect
52. #493419	C₂²	semidirect
53. C₂×#12589	C₂²	semidirect
54. #492906	C₂²	semidirect
55. C₂×#12579	C₂²	semidirect
56. #492886	C₂²	semidirect
57. #392140	C₂²	semidirect
58. #147758	C₂²	semidirect
59. #147757	C₂²	semidirect
60. #146589	C₂²	semidirect
61. #63103	C₂×C₄	semidirect
63. C₂×2₋¹⁺⁶	C₂×C₄	semidirect
64. C₂×H(7,𝔽₂)	C₂×C₄	semidirect
90. #60391	C₂×C₄	semidirect
91. #60391	C₂×C₄	semidirect
92. #60390	C₂×C₄	semidirect
93. #60390	C₂×C₄	semidirect
94. #60389	C₂×C₄	semidirect
95. #60389	C₂×C₄	semidirect
96. #60388	C₂×C₄	semidirect
97. #60388	C₂×C₄	semidirect
98. #60387	C₂×C₄	semidirect
99. #60387	C₂×C₄	semidirect
102. C₂×#3022	C₂×C₄	semidirect
103. C₂×#3022	C₂×C₄	semidirect
104. C₂×#3021	C₂×C₄	semidirect
105. C₂×#3021	C₂×C₄	semidirect
134. #60232	C₂³	semidirect
135. #60232	C₂³	semidirect
140. #60076	C₂×C₄	semidirect
142. C₂×#2889	C₂×C₄	semidirect
143. C₂×#2888	C₂×C₄	semidirect
149. #34346	C₂³	semidirect
150. #34155	C₂³	semidirect
152. C₂×#2132	C₂³	semidirect
153. C₂×#2132	C₂³	semidirect
154. C₂×#2126	C₂³	semidirect
155. C₂×#2126	C₂³	semidirect
156. #33347	C₂³	semidirect
157. #21775	C₂³	semidirect
159. #20620	C₂³	semidirect
160. #20615	C₂³	semidirect
161. #20612	C₂³	semidirect
162. #20608	C₂³	semidirect
165. #12589	C₂³	semidirect
166. #12585	C₂³	semidirect
167. #12579	C₂³	semidirect
168. #12573	C₂³	semidirect
171. C₂×#585	C₂²⋊C₄	semidirect
172. C₂×#585	C₂²⋊C₄	semidirect
193. C₂²×2₋¹⁺⁴	C₂²⋊C₄	semidirect
194. C₂²×2₋¹⁺⁴	C₂²⋊C₄	semidirect
199. C₂²×H(5,𝔽₂)	C₂²⋊C₄	semidirect
200. C₂²×H(5,𝔽₂)	C₂²⋊C₄	semidirect
214. #3500	C₂²⋊C₄	semidirect
215. #3500	C₂²⋊C₄	semidirect
216. #3500	C₂²⋊C₄	semidirect
217. #3500	C₂²⋊C₄	semidirect
218. #3500	C₂²⋊C₄	semidirect
219. #3500	C₂²⋊C₄	semidirect
220. #3500	C₂²⋊C₄	semidirect
221. #3500	C₂²⋊C₄	semidirect
230. #3499	C₂²⋊C₄	semidirect
231. #3499	C₂²⋊C₄	semidirect
232. #3499	C₂²⋊C₄	semidirect
233. #3499	C₂²⋊C₄	semidirect
238. #3498	C₂²⋊C₄	semidirect
239. #3498	C₂²⋊C₄	semidirect
240. #3498	C₂²⋊C₄	semidirect
241. #3498	C₂²⋊C₄	semidirect
246. #3449	C₂²⋊C₄	semidirect
247. #3449	C₂²⋊C₄	semidirect
254. C₂×#536	C₂²⋊C₄	semidirect
255. C₂×#536	C₂²⋊C₄	semidirect
258. C₂×#535	C₂²⋊C₄	semidirect
259. C₂×#535	C₂²⋊C₄	semidirect
262. C₂×#532	C₂²⋊C₄	semidirect
263. C₂×#532	C₂²⋊C₄	semidirect
290. C₂²×C₄⋊Q₈	C₂²⋊C₄	semidirect
292. C₂²×#127	C₂²⋊C₄	semidirect
294. C₂²×#124	C₂²⋊C₄	semidirect
295. C₂²×#124	C₂²⋊C₄	semidirect
298. C₂×C₄×#41	C₂²⋊C₄	semidirect
299. C₂×C₄×#41	C₂²⋊C₄	semidirect
300. C₂×C₄×#41	C₂²⋊C₄	semidirect
301. C₂×C₄×#41	C₂²⋊C₄	semidirect
302. C₂×C₄×#41	C₂²⋊C₄	semidirect
303. C₂×C₄×#41	C₂²⋊C₄	semidirect
322. #3018	C₂²⋊C₄	semidirect
323. #3018	C₂²⋊C₄	semidirect
324. #3018	C₂²⋊C₄	semidirect
325. #3018	C₂²⋊C₄	semidirect
326. #3018	C₂²⋊C₄	semidirect
327. #3018	C₂²⋊C₄	semidirect
328. #3018	C₂²⋊C₄	semidirect
329. #3018	C₂²⋊C₄	semidirect
346. C₂×#456	C₂²⋊C₄	semidirect
347. C₂×#456	C₂²⋊C₄	semidirect
348. C₂×#456	C₂²⋊C₄	semidirect
349. C₂×#456	C₂²⋊C₄	semidirect
352. C₂×#454	C₂²⋊C₄	semidirect
353. C₂×#454	C₂²⋊C₄	semidirect
354. C₂×#454	C₂²⋊C₄	semidirect
355. C₂×#454	C₂²⋊C₄	semidirect

Maximal subgroups

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

subgroup	index
#72315283	2
C₂×#494609	2
C₂×#494605	2
#72312474	2
C₂×#10574854	2
#72303705	2
#72303703	2
C₂×#493419	2
#72287849	2
#72280922	2
#72280748	2
#72267983	2
#72257152	2