Subgroups — C₃×#7631286 #72253875

Order 1536.

52444 conjugacy classes of subgroups.

The subgroup lattice has 1910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₃×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#3484	C₂	1	2	yes	maximal, complemented
3	C₂²×C₃×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#36212	C₂	1	8	yes	maximal, complemented
5	C₃×D₄×#120	C₂	1	8	yes	maximal, complemented
6	C₃×#35680	C₂	1	16	yes	maximal, complemented
7	C₃×#35527	C₂	1	2	yes	maximal, complemented
8	C₃×#35512	C₂	1	2	yes	maximal, complemented
9	C₃×#35347	C₂	1	4	yes	maximal, complemented
10	C₃×#35346	C₂	1	4	yes	maximal, complemented
11	C₃×#35250	C₂	1	2	yes	maximal, complemented
12	C₃×#34980	C₂	1	4	yes	maximal, complemented
13	C₃×#34736	C₂	1	2	yes	maximal, complemented
14	C₂×C₃×#2403	C₂	1	4	yes	maximal, complemented
15	C₃×#34256	C₂	1	2	yes	maximal, complemented
16	C₃×#34171	C₂	1	1	yes	maximal, characteristic, complemented
17	#7631286	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
18	C₂²×C₃×H(5,𝔽₂)	—	2	32	no	—
19	C₂²×C₃×H(5,𝔽₂)	—	2	16	no	—
20	C₂²×C₃×H(5,𝔽₂)	C₂²	1	2	yes	—
21	C₂²×C₃×H(5,𝔽₂)	C₂²	1	4	yes	complemented
22	C₂²×C₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
23	C₂²×C₃×H(5,𝔽₂)	C₂²	1	8	yes	complemented
24	C₂³×C₃×#41	C₂²	1	2	yes	complemented
25	C₂³×C₃×#41	C₂²	1	4	yes	complemented
26	C₂⁴×C₃×D₄	C₂²	1	1	yes	characteristic
27	C₂⁴×C₃×D₄	C₂²	1	4	yes	complemented
28	C₂⁴×C₃×D₄	C₂²	1	4	yes	complemented
29	C₂⁴×C₃×D₄	C₂²	1	1	yes	characteristic, complemented
30	C₂⁴×C₃×D₄	C₂²	1	2	yes	complemented
31	C₃×#3484	—	2	32	no	—
32	C₂×C₃×#546	C₂²	1	16	yes	complemented
33	C₂×C₃×D₄²	—	2	16	no	—
34	C₂×C₃×D₄²	C₂²	1	8	yes	complemented
35	C₂×C₃×D₄²	C₂²	1	16	yes	complemented
36	C₂×C₃×D₄²	C₂²	1	8	yes	complemented
37	C₂×C₃×#535	C₂²	1	4	yes	complemented
38	C₂×C₃×#534	C₂²	1	8	yes	complemented
39	C₂²×C₃×#127	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×#525	C₂²	1	4	yes	complemented
41	C₂²×C₃×#121	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₃×#121	C₂²	1	2	yes	complemented
43	C₂²×C₃×#121	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₃×#120	C₂²	1	2	yes	complemented
45	C₂²×C₃×#120	C₂²	1	2	yes	complemented
46	C₂²×C₃×#120	C₂²	1	8	yes	complemented
47	C₂²×C₃×#120	C₂²	1	8	yes	complemented
48	C₂×C₃×#518	C₂²	1	2	yes	complemented
49	C₂²×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
50	C₂²×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
51	C₃×#2849	C₂²	1	8	yes	complemented
52	C₃×#2847	C₂²	1	8	yes	complemented
53	C₃×#2846	C₂²	1	8	yes	complemented
54	C₃×#2615	C₂²	1	8	yes	complemented
55	C₃×#2613	C₂²	1	16	yes	complemented
56	C₃×#2436	C₂²	1	4	yes	complemented
57	C₃×#2433	C₂²	1	4	yes	complemented
58	C₃×#2433	C₂²	1	16	yes	complemented
59	C₃×#2431	C₂²	1	8	yes	complemented
60	C₃×#2431	C₂²	1	16	yes	complemented
61	C₃×#2430	C₂²	1	32	yes	complemented
62	C₃×#2410	C₂²	1	16	yes	complemented
63	C₃×#2410	C₂²	1	32	yes	complemented
64	C₃×#2410	C₂²	1	16	yes	complemented
65	C₃×#2409	C₂²	1	4	yes	complemented
66	C₃×#2408	C₂²	1	4	yes	complemented
67	C₃×#2408	C₂²	1	16	yes	complemented
68	C₃×#2407	C₂²	1	8	yes	complemented
69	C₃×#2407	C₂²	1	16	yes	complemented
70	C₃×#2406	C₂²	1	4	yes	complemented
71	C₃×#2405	C₂²	1	4	yes	complemented
72	C₃×#2405	C₂²	1	8	yes	complemented
73	C₃×#2404	C₂²	1	4	yes	complemented
74	C₃×#2404	C₂²	1	8	yes	complemented
75	C₃×#2404	C₂²	1	32	yes	complemented
76	C₃×#2403	C₂²	1	4	yes	complemented
77	C₃×#2403	C₂²	1	8	yes	complemented
78	C₃×#2403	C₂²	1	16	yes	complemented
79	C₃×#2403	C₂²	1	8	yes	complemented
80	C₃×#2403	C₂²	1	8	yes	complemented
81	C₃×#2403	C₂²	1	8	yes	complemented
82	C₃×#2403	C₂²	1	32	yes	complemented
83	C₃×#2403	C₂²	1	16	yes	complemented
84	C₃×#2388	C₂²	1	8	yes	complemented
85	C₂×C₃×#392	C₂²	1	16	yes	complemented
86	C₃×#2339	C₂²	1	16	yes	complemented
87	C₃×D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
88	C₃×D₄×C₂²⋊C₄	C₂²	1	16	yes	complemented
89	C₃×D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
90	C₃×#2311	C₂²	1	4	yes	complemented
91	C₃×#2309	C₂²	1	2	yes	complemented
92	C₃×#2308	C₂²	1	4	yes	complemented
93	C₃×#2308	C₂²	1	8	yes	complemented
94	C₃×C₄×#120	C₂²	1	8	yes	complemented
95	C₃×#2297	C₂²	1	4	yes	complemented
96	C₂×C₃×#386	C₂²	1	8	yes	complemented
97	C₂×C₃×#386	C₂²	1	8	yes	complemented
98	C₃×#2280	C₂²	1	2	yes	complemented
99	C₂×C₃×#379	C₂²	1	4	yes	complemented
100	C₂³×H(5,𝔽₂)	C₂×C₃	1	1	yes	characteristic, complemented
101	C₂×#3484	C₂×C₃	1	2	yes	complemented
102	C₂²×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
103	#36212	C₂×C₃	1	8	yes	complemented
104	D₄×#120	C₂×C₃	1	8	yes	complemented
105	#35680	C₂×C₃	1	16	yes	complemented
106	#35527	C₂×C₃	1	2	yes	complemented
107	#35512	C₂×C₃	1	2	yes	complemented
108	#35347	C₂×C₃	1	4	yes	complemented
109	#35346	C₂×C₃	1	4	yes	complemented
110	#35250	C₂×C₃	1	2	yes	complemented
111	#34980	C₂×C₃	1	4	yes	complemented
112	#34736	C₂×C₃	1	2	yes	complemented
113	C₂×#2403	C₂×C₃	1	4	yes	complemented
114	#34256	C₂×C₃	1	2	yes	complemented
115	#34171	C₂×C₃	1	1	yes	characteristic, complemented
116	C₂⁶×C₃	C₂³	1	2	yes	—
117	C₂⁶×C₃	C₂³	1	2	yes	complemented
118	C₂⁶×C₃	C₂³	1	4	yes	complemented
119	C₂×C₃×H(5,𝔽₂)	—	2	512	no	—
120	C₂×C₃×H(5,𝔽₂)	—	2	32	no	—
121	C₂×C₃×H(5,𝔽₂)	—	2	64	no	—
122	C₂×C₃×H(5,𝔽₂)	—	2	16	no	—
123	C₂×C₃×H(5,𝔽₂)	—	2	16	no	—
124	C₂×C₃×H(5,𝔽₂)	—	2	32	no	—
125	C₂×C₃×H(5,𝔽₂)	—	2	16	no	—
126	C₂×C₃×H(5,𝔽₂)	—	2	64	no	—
127	C₂×C₃×H(5,𝔽₂)	—	2	64	no	—
128	C₂×C₃×H(5,𝔽₂)	—	2	64	no	—
129	C₂×C₃×H(5,𝔽₂)	D₄	1	32	yes	complemented
130	C₂²×C₃×#41	—	2	32	no	—
131	C₂²×C₃×#41	—	2	64	no	—
132	C₂²×C₃×#41	—	2	32	no	—
133	C₂²×C₃×#41	—	2	16	no	—
134	C₂²×C₃×#41	C₂³	1	4	yes	—
135	C₂²×C₃×#41	C₂³	1	4	yes	—
136	C₂²×C₃×#41	C₂³	1	8	yes	—
137	C₂²×C₃×#41	C₂³	1	4	yes	complemented
138	C₂²×C₃×#41	C₂³	1	16	yes	complemented
139	C₂²×C₃×#41	C₂³	1	8	yes	complemented
140	C₂²×C₃×#41	C₂³	1	4	yes	complemented
141	C₂³×C₃×Q₈	C₂³	1	2	yes	complemented
142	C₂³×C₃×D₄	—	2	16	no	—
143	C₂³×C₃×D₄	—	2	64	no	—
144	C₂³×C₃×D₄	—	2	32	no	—
145	C₂³×C₃×D₄	—	2	64	no	—
146	C₂³×C₃×D₄	—	2	8	no	—
147	C₂³×C₃×D₄	—	2	16	no	—
148	C₂³×C₃×D₄	—	2	32	no	—
149	C₂³×C₃×D₄	—	2	16	no	—
150	C₂³×C₃×D₄	—	4	16	no	—
151	C₂³×C₃×D₄	D₄	1	16	yes	complemented
152	C₂³×C₃×D₄	C₂³	1	1	yes	characteristic
153	C₂³×C₃×D₄	C₂³	1	4	yes	—
154	C₂³×C₃×D₄	C₂³	1	8	yes	—
155	C₂³×C₃×D₄	C₂³	1	8	yes	—
156	C₂³×C₃×D₄	C₂³	1	2	yes	—
157	C₂³×C₃×D₄	C₂³	1	8	yes	—
158	C₂³×C₃×D₄	C₂³	1	1	yes	characteristic
159	C₂³×C₃×D₄	C₂³	1	4	yes	—
160	C₂³×C₃×D₄	C₂³	1	4	yes	—
161	C₂³×C₃×D₄	C₂³	1	8	yes	—
162	C₂³×C₃×D₄	C₂³	1	2	yes	—
163	C₂³×C₃×D₄	C₂³	1	1	yes	characteristic
164	C₂³×C₃×D₄	C₂³	1	2	yes	complemented
165	C₂³×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
166	C₂³×C₃×D₄	C₂³	1	8	yes	complemented
167	C₂³×C₃×D₄	C₂³	1	8	yes	complemented
168	C₂³×C₃×D₄	C₂³	1	2	yes	complemented
169	C₂³×C₃×D₄	C₂³	1	8	yes	complemented
170	C₂³×C₃×D₄	C₂³	1	16	yes	complemented
171	C₂³×C₃×D₄	C₂³	1	8	yes	complemented
172	C₂³×C₃×D₄	C₂³	1	8	yes	complemented
173	C₂³×C₃×D₄	C₂³	1	2	yes	complemented
174	C₂³×C₃×D₄	C₂³	1	2	yes	complemented
175	C₂³×C₃×D₄	C₂³	1	8	yes	complemented
176	C₂³×C₃×D₄	C₂³	1	16	yes	complemented
177	C₂³×C₃×D₄	C₂³	1	2	yes	complemented
178	C₂⁴×C₃×C₄	C₂³	1	1	yes	characteristic
179	C₂⁴×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
180	C₂⁴×C₃×C₄	C₂³	1	4	yes	complemented
181	C₂⁴×C₃×C₄	C₂³	1	4	yes	complemented
182	C₂⁴×C₃×C₄	C₂³	1	2	yes	complemented
183	C₃×#546	—	2	128	no	—
184	C₃×D₄²	—	2	64	no	—
185	C₃×D₄²	—	2	64	no	—
186	C₃×D₄²	—	2	128	no	—
187	C₃×#535	—	2	32	no	—
188	C₃×#534	—	2	64	no	—
189	C₂×C₃×#127	—	2	8	no	—
190	C₂×C₃×#127	C₂³	1	8	yes	complemented
191	C₂×C₃×#127	C₂³	1	8	yes	complemented
192	C₂×C₃×#124	C₂³	1	8	yes	complemented
193	C₃×#525	—	2	32	no	—
194	C₂×C₃×#123	C₂³	1	8	yes	complemented
195	C₂×C₃×#123	C₂³	1	16	yes	complemented
196	C₂×C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
197	C₂×C₃×#121	—	2	8	no	—
198	C₂×C₃×#121	—	2	16	no	—
199	C₂×C₃×#121	—	2	8	no	—
200	C₂×C₃×#121	C₂³	1	4	yes	—
201	C₂×C₃×#121	C₂³	1	8	yes	complemented
202	C₂×C₃×#121	C₂³	1	16	yes	complemented
203	C₂×C₃×#121	C₂³	1	4	yes	complemented
204	C₂×C₃×#121	C₂³	1	8	yes	complemented
205	C₂×C₃×#121	C₂³	1	32	yes	complemented
206	C₂×C₃×#121	C₂³	1	16	yes	complemented
207	C₂×C₃×#120	—	2	16	no	—
208	C₂×C₃×#120	—	2	64	no	—
209	C₂×C₃×#120	—	2	16	no	—
210	C₂×C₃×#120	—	4	32	no	—
211	C₂×C₃×#120	C₂³	1	8	yes	—
212	C₂×C₃×#120	C₂³	1	8	yes	—
213	C₂×C₃×#120	C₂³	1	8	yes	complemented
214	C₂×C₃×#120	C₂³	1	16	yes	complemented
215	C₂×C₃×#120	C₂³	1	32	yes	complemented
216	C₂×C₃×#120	C₂³	1	16	yes	complemented
217	C₂×C₃×#120	C₂³	1	8	yes	complemented
218	C₂×C₃×#120	C₂³	1	16	yes	complemented
219	C₂×C₃×#120	C₂³	1	16	yes	complemented
220	C₂×C₃×#120	C₂³	1	16	yes	complemented
221	C₂×C₃×#120	C₂³	1	16	yes	complemented
222	C₂×C₃×#120	C₂³	1	16	yes	complemented
223	C₃×#518	—	2	16	no	—
224	C₂×C₃×C₄×D₄	—	2	8	no	—
225	C₂×C₃×C₄×D₄	—	2	8	no	—
226	C₂×C₃×C₄×D₄	C₂³	1	4	yes	—
227	C₂×C₃×C₄×D₄	C₂³	1	4	yes	complemented
228	C₂×C₃×C₄×D₄	C₂³	1	8	yes	complemented
229	C₂×C₃×C₄×D₄	C₂³	1	16	yes	complemented
230	C₂×C₃×C₄×D₄	C₂³	1	16	yes	complemented
231	C₂×C₃×#117	C₂³	1	4	yes	complemented
232	C₂²×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
233	C₂²×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
234	C₂²×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂²×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
236	C₂²×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
237	C₂²×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
238	C₂²×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
239	C₂²×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
240	C₂²×C₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
241	C₂²×C₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
242	C₂²×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
243	C₂²×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
244	C₂²×C₃×C₄²	C₂³	1	1	yes	characteristic, complemented
245	C₃×#395	C₂³	1	8	yes	complemented
246	C₃×#394	C₂³	1	16	yes	complemented
247	C₃×#394	C₂³	1	8	yes	complemented
248	C₃×#394	C₂³	1	32	yes	complemented
249	C₃×#393	C₂³	1	8	yes	complemented
250	C₃×#393	C₂³	1	16	yes	complemented
251	C₃×#392	C₂³	1	16	yes	complemented
252	C₃×#392	C₂³	1	32	yes	complemented
253	C₃×#392	C₂³	1	32	yes	complemented
254	C₃×#392	C₂³	1	32	yes	complemented
255	C₃×#392	C₂³	1	8	yes	complemented
256	C₃×#392	C₂³	1	16	yes	complemented
257	C₃×#392	C₂³	1	32	yes	complemented
258	C₃×#391	C₂³	1	8	yes	complemented
259	C₃×#391	C₂³	1	8	yes	complemented
260	C₃×#390	C₂³	1	16	yes	complemented
261	C₃×#390	C₂³	1	8	yes	complemented
262	C₃×#390	C₂³	1	8	yes	complemented
263	C₃×#386	C₂³	1	8	yes	—
264	C₃×#386	C₂³	1	8	yes	complemented
265	C₃×#386	C₂³	1	16	yes	complemented
266	C₃×#386	C₂³	1	16	yes	complemented
267	C₃×#386	C₂³	1	16	yes	complemented
268	C₃×#386	C₂³	1	8	yes	complemented
269	C₃×#386	C₂³	1	32	yes	complemented
270	C₃×#386	C₂³	1	16	yes	complemented
271	C₃×#386	C₂³	1	16	yes	complemented
272	C₃×#386	C₂³	1	32	yes	complemented
273	C₃×#386	C₂³	1	16	yes	complemented
274	C₃×#386	C₂³	1	32	yes	complemented
275	C₃×#386	C₂³	1	32	yes	complemented
276	C₃×#385	C₂³	1	16	yes	complemented
277	C₃×#385	C₂³	1	8	yes	complemented
278	C₃×#385	C₂³	1	16	yes	complemented
279	C₃×#381	C₂³	1	4	yes	complemented
280	C₃×#381	C₂³	1	16	yes	complemented
281	C₃×#380	C₂³	1	4	yes	complemented
282	C₃×#380	C₂³	1	16	yes	complemented
283	C₃×#380	C₂³	1	4	yes	complemented
284	C₃×#379	C₂³	1	4	yes	—
285	C₃×#379	C₂³	1	8	yes	complemented
286	C₃×#379	C₂³	1	8	yes	complemented
287	C₃×#379	C₂³	1	8	yes	complemented
288	C₃×#379	C₂³	1	16	yes	complemented
289	C₃×#379	C₂³	1	16	yes	complemented
290	C₃×#379	C₂³	1	8	yes	complemented
291	C₃×C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
292	C₃×C₄×C₂²⋊C₄	C₂³	1	16	yes	complemented
293	C₃×C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
294	C₂×C₃×#95	C₂³	1	16	yes	complemented
295	C₂²×H(5,𝔽₂)	—	2	32	no	—
296	C₂²×H(5,𝔽₂)	—	2	16	no	—
297	C₂²×H(5,𝔽₂)	C₂²×C₃	1	2	yes	—
298	C₂²×H(5,𝔽₂)	C₂²×C₃	1	4	yes	complemented
299	C₂²×H(5,𝔽₂)	C₂²×C₃	1	2	yes	complemented
300	C₂²×H(5,𝔽₂)	C₂²×C₃	1	8	yes	complemented
301	C₂³×#41	C₂²×C₃	1	2	yes	complemented
302	C₂³×#41	C₂²×C₃	1	4	yes	complemented
303	C₂⁴×D₄	C₂²×C₃	1	1	yes	characteristic
304	C₂⁴×D₄	C₂²×C₃	1	4	yes	complemented
305	C₂⁴×D₄	C₂²×C₃	1	4	yes	complemented
306	C₂⁴×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
307	C₂⁴×D₄	C₂²×C₃	1	2	yes	complemented
308	#3484	—	2	32	no	—
309	C₂×#546	C₂²×C₃	1	16	yes	complemented
310	C₂×D₄²	—	2	16	no	—
311	C₂×D₄²	C₂²×C₃	1	8	yes	complemented
312	C₂×D₄²	C₂²×C₃	1	16	yes	complemented
313	C₂×D₄²	C₂²×C₃	1	8	yes	complemented
314	C₂×#535	C₂²×C₃	1	4	yes	complemented
315	C₂×#534	C₂²×C₃	1	8	yes	complemented
316	C₂²×#127	C₂²×C₃	1	1	yes	characteristic, complemented
317	C₂×#525	C₂²×C₃	1	4	yes	complemented
318	C₂²×#121	C₂²×C₃	1	1	yes	characteristic, complemented
319	C₂²×#121	C₂²×C₃	1	2	yes	complemented
320	C₂²×#121	C₂²×C₃	1	1	yes	characteristic, complemented
321	C₂²×#120	C₂²×C₃	1	2	yes	complemented
322	C₂²×#120	C₂²×C₃	1	2	yes	complemented
323	C₂²×#120	C₂²×C₃	1	8	yes	complemented
324	C₂²×#120	C₂²×C₃	1	8	yes	complemented
325	C₂×#518	C₂²×C₃	1	2	yes	complemented
326	C₂²×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₂²×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
328	#2849	C₂²×C₃	1	8	yes	complemented
329	#2847	C₂²×C₃	1	8	yes	complemented
330	#2846	C₂²×C₃	1	8	yes	complemented
331	#2615	C₂²×C₃	1	8	yes	complemented
332	#2613	C₂²×C₃	1	16	yes	complemented
333	#2436	C₂²×C₃	1	4	yes	complemented
334	#2433	C₂²×C₃	1	4	yes	complemented
335	#2433	C₂²×C₃	1	16	yes	complemented
336	#2431	C₂²×C₃	1	8	yes	complemented
337	#2431	C₂²×C₃	1	16	yes	complemented
338	#2430	C₂²×C₃	1	32	yes	complemented
339	#2410	C₂²×C₃	1	16	yes	complemented
340	#2410	C₂²×C₃	1	32	yes	complemented
341	#2410	C₂²×C₃	1	16	yes	complemented
342	#2409	C₂²×C₃	1	4	yes	complemented
343	#2408	C₂²×C₃	1	4	yes	complemented
344	#2408	C₂²×C₃	1	16	yes	complemented
345	#2407	C₂²×C₃	1	8	yes	complemented
346	#2407	C₂²×C₃	1	16	yes	complemented
347	#2406	C₂²×C₃	1	4	yes	complemented
348	#2405	C₂²×C₃	1	4	yes	complemented
349	#2405	C₂²×C₃	1	8	yes	complemented
350	#2404	C₂²×C₃	1	4	yes	complemented
351	#2404	C₂²×C₃	1	8	yes	complemented
352	#2404	C₂²×C₃	1	32	yes	complemented
353	#2403	C₂²×C₃	1	4	yes	complemented
354	#2403	C₂²×C₃	1	16	yes	complemented
355	#2403	C₂²×C₃	1	8	yes	complemented
356	#2403	C₂²×C₃	1	8	yes	complemented
357	#2403	C₂²×C₃	1	8	yes	complemented
358	#2403	C₂²×C₃	1	8	yes	complemented
359	#2403	C₂²×C₃	1	32	yes	complemented
360	#2403	C₂²×C₃	1	16	yes	complemented
361	#2388	C₂²×C₃	1	8	yes	complemented
362	C₂×#392	C₂²×C₃	1	16	yes	complemented
363	#2339	C₂²×C₃	1	16	yes	complemented
364	D₄×C₂²⋊C₄	C₂²×C₃	1	8	yes	complemented
365	D₄×C₂²⋊C₄	C₂²×C₃	1	16	yes	complemented
366	D₄×C₂²⋊C₄	C₂²×C₃	1	8	yes	complemented
367	#2311	C₂²×C₃	1	4	yes	complemented
368	#2309	C₂²×C₃	1	2	yes	complemented
369	#2308	C₂²×C₃	1	4	yes	complemented
370	#2308	C₂²×C₃	1	8	yes	complemented
371	C₄×#120	C₂²×C₃	1	8	yes	complemented
372	#2297	C₂²×C₃	1	4	yes	complemented
373	C₂×#386	C₂²×C₃	1	8	yes	complemented
374	C₂×#386	C₂²×C₃	1	8	yes	complemented
375	#2280	C₂²×C₃	1	2	yes	complemented
376	C₂×#379	C₂²×C₃	1	4	yes	complemented
377	C₂⁵×C₃	—	2	16	no	—
378	C₂⁵×C₃	—	2	16	no	—
379	C₂⁵×C₃	—	2	32	no	—
380	C₂⁵×C₃	—	2	8	no	—
381	C₂⁵×C₃	—	2	16	no	—
382	C₂⁵×C₃	—	4	8	no	—
383	C₂⁵×C₃	—	4	8	no	—
384	C₂⁵×C₃	—	4	16	no	—
385	C₂⁵×C₃	—	8	4	no	—
386	C₂⁵×C₃	—	8	8	no	—
387	C₂⁵×C₃	—	8	4	no	—
388	C₂⁵×C₃	C₂×D₄	1	16	yes	complemented
389	C₂⁵×C₃	C₂⁴	1	4	yes	—
390	C₂⁵×C₃	C₂⁴	1	1	yes	characteristic
391	C₂⁵×C₃	C₂⁴	1	8	yes	—
392	C₂⁵×C₃	C₂⁴	1	1	yes	characteristic
393	C₂⁵×C₃	C₂⁴	1	4	yes	—
394	C₂⁵×C₃	C₂⁴	1	8	yes	—
395	C₂⁵×C₃	C₂⁴	1	2	yes	—
396	C₂⁵×C₃	C₂⁴	1	2	yes	—
397	C₂⁵×C₃	C₂⁴	1	4	yes	—
398	C₂⁵×C₃	C₂⁴	1	8	yes	—
399	C₂⁵×C₃	C₂⁴	1	2	yes	—
400	C₃×H(5,𝔽₂)	—	2	256	no	—
401	C₃×H(5,𝔽₂)	—	2	1024	no	—
402	C₃×H(5,𝔽₂)	—	2	512	no	—
403	C₃×H(5,𝔽₂)	—	2	256	no	—
404	C₂×C₃×#41	—	2	512	no	—
405	C₂×C₃×#41	—	2	256	no	—
406	C₂×C₃×#41	—	2	32	no	—
407	C₂×C₃×#41	—	2	16	no	—
408	C₂×C₃×#41	—	2	32	no	—
409	C₂×C₃×#41	—	2	32	no	—
410	C₂×C₃×#41	—	2	32	no	—
411	C₂×C₃×#41	—	2	64	no	—
412	C₂×C₃×#41	—	2	32	no	—
413	C₂×C₃×#41	—	2	64	no	—
414	C₂×C₃×#41	—	2	16	no	—
415	C₂×C₃×#41	—	2	16	no	—
416	C₂×C₃×#41	—	2	16	no	—
417	C₂×C₃×#41	—	2	16	no	—
418	C₂×C₃×#41	—	2	16	no	—
419	C₂×C₃×#41	—	2	16	no	—
420	C₂×C₃×#41	—	2	64	no	—
421	C₂×C₃×#41	—	2	32	no	—
422	C₂×C₃×#41	—	2	32	no	—
423	C₂×C₃×#41	C₂×D₄	1	32	yes	complemented
424	C₂×C₃×#41	C₂×D₄	1	64	yes	complemented
425	C₂²×C₃×Q₈	—	2	16	no	—
426	C₂²×C₃×Q₈	—	2	8	no	—
427	C₂²×C₃×Q₈	C₂⁴	1	4	yes	—
428	C₂²×C₃×Q₈	C₂⁴	1	4	yes	—
429	C₂²×C₃×D₄	—	2	512	no	—
430	C₂²×C₃×D₄	—	2	512	no	—
431	C₂²×C₃×D₄	—	2	16	no	—
432	C₂²×C₃×D₄	—	2	4	no	—
433	C₂²×C₃×D₄	—	2	32	no	—
434	C₂²×C₃×D₄	—	2	32	no	—
435	C₂²×C₃×D₄	—	2	16	no	—
436	C₂²×C₃×D₄	—	2	32	no	—
437	C₂²×C₃×D₄	—	2	32	no	—
438	C₂²×C₃×D₄	—	2	32	no	—
439	C₂²×C₃×D₄	—	2	32	no	—
440	C₂²×C₃×D₄	—	2	32	no	—
441	C₂²×C₃×D₄	—	2	64	no	—
442	C₂²×C₃×D₄	—	2	128	no	—
443	C₂²×C₃×D₄	—	2	32	no	—
444	C₂²×C₃×D₄	—	2	32	no	—
445	C₂²×C₃×D₄	—	2	64	no	—
446	C₂²×C₃×D₄	—	2	32	no	—
447	C₂²×C₃×D₄	—	2	32	no	—
448	C₂²×C₃×D₄	—	2	32	no	—
449	C₂²×C₃×D₄	—	2	64	no	—
450	C₂²×C₃×D₄	—	2	32	no	—
451	C₂²×C₃×D₄	—	2	64	no	—
452	C₂²×C₃×D₄	—	2	16	no	—
453	C₂²×C₃×D₄	—	2	64	no	—
454	C₂²×C₃×D₄	—	2	64	no	—
455	C₂²×C₃×D₄	—	2	32	no	—
456	C₂²×C₃×D₄	—	2	8	no	—
457	C₂²×C₃×D₄	—	2	8	no	—
458	C₂²×C₃×D₄	—	2	32	no	—
459	C₂²×C₃×D₄	—	2	8	no	—
460	C₂²×C₃×D₄	—	2	8	no	—
461	C₂²×C₃×D₄	—	2	8	no	—
462	C₂²×C₃×D₄	—	2	16	no	—
463	C₂²×C₃×D₄	—	2	32	no	—
464	C₂²×C₃×D₄	—	2	8	no	—
465	C₂²×C₃×D₄	—	2	64	no	—
466	C₂²×C₃×D₄	—	2	32	no	—
467	C₂²×C₃×D₄	—	2	64	no	—
468	C₂²×C₃×D₄	—	2	32	no	—
469	C₂²×C₃×D₄	—	2	8	no	—
470	C₂²×C₃×D₄	—	2	8	no	—
471	C₂²×C₃×D₄	—	2	4	no	—
472	C₂²×C₃×D₄	—	2	8	no	—
473	C₂²×C₃×D₄	—	2	32	no	—
474	C₂²×C₃×D₄	—	2	32	no	—
475	C₂²×C₃×D₄	—	4	8	no	—
476	C₂²×C₃×D₄	—	4	16	no	—
477	C₂²×C₃×D₄	—	4	16	no	—
478	C₂²×C₃×D₄	—	4	8	no	—
479	C₂²×C₃×D₄	—	4	16	no	—
480	C₂²×C₃×D₄	—	4	8	no	—
481	C₂²×C₃×D₄	—	4	32	no	—
482	C₂²×C₃×D₄	—	4	128	no	—
483	C₂²×C₃×D₄	—	4	64	no	—
484	C₂²×C₃×D₄	—	8	4	no	—
485	C₂²×C₃×D₄	—	8	16	no	—
486	C₂²×C₃×D₄	C₂×D₄	1	16	yes	—
487	C₂²×C₃×D₄	C₂×D₄	1	8	yes	—
488	C₂²×C₃×D₄	C₂×D₄	1	32	yes	complemented
489	C₂²×C₃×D₄	C₂×D₄	1	16	yes	complemented
490	C₂²×C₃×D₄	C₂×D₄	1	8	yes	complemented
491	C₂²×C₃×D₄	C₂×D₄	1	32	yes	complemented
492	C₂²×C₃×D₄	C₂×D₄	1	64	yes	complemented
493	C₂²×C₃×D₄	C₂×D₄	1	64	yes	complemented
494	C₂²×C₃×D₄	C₂⁴	1	4	yes	—
495	C₂²×C₃×D₄	C₂⁴	1	8	yes	—
496	C₂²×C₃×D₄	C₂⁴	1	16	yes	—
497	C₂²×C₃×D₄	C₂⁴	1	2	yes	—
498	C₂²×C₃×D₄	C₂⁴	1	4	yes	—
499	C₂²×C₃×D₄	C₂⁴	1	8	yes	—
500	C₂²×C₃×D₄	C₂⁴	1	4	yes	—
501	C₂²×C₃×D₄	C₂⁴	1	8	yes	—
502	C₂²×C₃×D₄	C₂⁴	1	8	yes	—
503	C₂²×C₃×D₄	C₂⁴	1	16	yes	—
504	C₂²×C₃×D₄	C₂⁴	1	8	yes	—
505	C₂²×C₃×D₄	C₂⁴	1	8	yes	—
506	C₂²×C₃×D₄	C₂⁴	1	4	yes	—
507	C₂²×C₃×D₄	C₂⁴	1	16	yes	—
508	C₂²×C₃×D₄	C₂⁴	1	4	yes	—
509	C₂²×C₃×D₄	C₂⁴	1	2	yes	—
510	C₂²×C₃×D₄	C₂⁴	1	4	yes	—
511	C₂²×C₃×D₄	C₂⁴	1	8	yes	—
512	C₂²×C₃×D₄	C₂⁴	1	32	yes	—
513	C₂²×C₃×D₄	C₂⁴	1	4	yes	—
514	C₂³×C₃×C₄	—	2	16	no	—
515	C₂³×C₃×C₄	—	2	8	no	—
516	C₂³×C₃×C₄	—	2	16	no	—
517	C₂³×C₃×C₄	—	2	32	no	—
518	C₂³×C₃×C₄	—	2	32	no	—
519	C₂³×C₃×C₄	—	2	8	no	—
520	C₂³×C₃×C₄	—	2	4	no	—
521	C₂³×C₃×C₄	—	2	8	no	—
522	C₂³×C₃×C₄	—	4	8	no	—
523	C₂³×C₃×C₄	C₂×D₄	1	8	yes	complemented
524	C₂³×C₃×C₄	C₂⁴	1	4	yes	—
525	C₂³×C₃×C₄	C₂⁴	1	1	yes	characteristic
526	C₂³×C₃×C₄	C₂⁴	1	8	yes	—
527	C₂³×C₃×C₄	C₂⁴	1	8	yes	—
528	C₂³×C₃×C₄	C₂⁴	1	1	yes	characteristic
529	C₂³×C₃×C₄	C₂⁴	1	4	yes	—
530	C₂³×C₃×C₄	C₂⁴	1	8	yes	—
531	C₂³×C₃×C₄	C₂⁴	1	2	yes	—
532	C₂³×C₃×C₄	C₂⁴	1	1	yes	characteristic
533	C₂³×C₃×C₄	C₂⁴	1	2	yes	—
534	C₂³×C₃×C₄	C₂⁴	1	8	yes	—
535	C₂³×C₃×C₄	C₂⁴	1	8	yes	—
536	C₂³×C₃×C₄	C₂⁴	1	2	yes	—
537	C₂³×C₃×C₄	C₂⁴	1	1	yes	characteristic
538	C₂³×C₃×C₄	C₂⁴	1	16	yes	—
539	C₂³×C₃×C₄	C₂⁴	1	1	yes	characteristic
540	C₃×#127	—	2	32	no	—
541	C₃×#127	—	2	32	no	—
542	C₃×#124	—	2	32	no	—
543	C₃×#123	—	2	32	no	—
544	C₃×#123	—	2	64	no	—
545	C₃×C₂²⋊Q₈	—	2	32	no	—
546	C₃×#121	—	2	32	no	—
547	C₃×#121	—	2	64	no	—
548	C₃×#121	—	2	32	no	—
549	C₃×#121	—	2	128	no	—
550	C₃×#121	—	2	16	no	—
551	C₃×#121	—	2	16	no	—
552	C₃×#121	—	2	64	no	—
553	C₃×#120	—	2	32	no	—
554	C₃×#120	—	2	32	no	—
555	C₃×#120	—	2	64	no	—
556	C₃×#120	—	2	32	no	—
557	C₃×#120	—	2	64	no	—
558	C₃×#120	—	2	64	no	—
559	C₃×#120	—	2	128	no	—
560	C₃×#120	—	2	32	no	—
561	C₃×#120	—	4	32	no	—
562	C₃×#120	—	4	32	no	—
563	C₃×#120	—	4	32	no	—
564	C₃×#120	—	8	16	no	—
565	C₃×C₄×D₄	—	2	32	no	—
566	C₃×C₄×D₄	—	2	64	no	—
567	C₃×C₄×D₄	—	2	16	no	—
568	C₃×C₄×D₄	—	2	16	no	—
569	C₃×C₄×D₄	—	2	64	no	—
570	C₃×#117	—	2	16	no	—
571	C₂×C₃×C₄⋊C₄	—	2	4	no	—
572	C₂×C₃×C₄⋊C₄	—	2	4	no	—
573	C₂×C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
574	C₂×C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
575	C₂×C₃×C₄⋊C₄	C₂⁴	1	16	yes	—
576	C₂×C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
577	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
578	C₂×C₃×C₂²⋊C₄	—	2	8	no	—
579	C₂×C₃×C₂²⋊C₄	—	2	32	no	—
580	C₂×C₃×C₂²⋊C₄	—	2	8	no	—
581	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
582	C₂×C₃×C₂²⋊C₄	—	2	8	no	—
583	C₂×C₃×C₂²⋊C₄	—	2	64	no	—
584	C₂×C₃×C₂²⋊C₄	—	4	32	no	—
585	C₂×C₃×C₂²⋊C₄	—	4	16	no	—
586	C₂×C₃×C₂²⋊C₄	—	8	8	no	—
587	C₂×C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
588	C₂×C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
589	C₂×C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
590	C₂×C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
591	C₂×C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
592	C₂×C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
593	C₂×C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
594	C₂×C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
595	C₂×C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
596	C₂×C₃×C₂²⋊C₄	C₂⁴	1	32	yes	—
597	C₂×C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
598	C₂×C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
599	C₂×C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
600	C₂×C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
601	C₂×C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
602	C₂×C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
603	C₂×C₃×C₂²⋊C₄	C₂⁴	1	32	yes	—
604	C₂×C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
605	C₂×C₃×C₄²	—	2	4	no	—
606	C₂×C₃×C₄²	C₂⁴	1	8	yes	—
607	C₂×C₃×C₄²	C₂⁴	1	4	yes	—
608	C₃×#95	C₂⁴	1	16	yes	—
609	C₃×#95	C₂⁴	1	32	yes	—
610	C₃×#95	C₂⁴	1	8	yes	—
611	C₃×#95	C₂⁴	1	8	yes	—
612	C₃×#95	C₂⁴	1	16	yes	—
613	C₂⁶	C₂³×C₃	1	2	yes	—
614	C₂⁶	C₂³×C₃	1	4	yes	complemented
615	C₂⁶	C₂³×C₃	1	2	yes	complemented
616	C₂×H(5,𝔽₂)	—	2	512	no	—
617	C₂×H(5,𝔽₂)	—	2	32	no	—
618	C₂×H(5,𝔽₂)	—	2	64	no	—
619	C₂×H(5,𝔽₂)	—	2	16	no	—
620	C₂×H(5,𝔽₂)	—	2	16	no	—
621	C₂×H(5,𝔽₂)	—	2	32	no	—
622	C₂×H(5,𝔽₂)	—	2	16	no	—
623	C₂×H(5,𝔽₂)	—	2	64	no	—
624	C₂×H(5,𝔽₂)	—	2	64	no	—
625	C₂×H(5,𝔽₂)	—	2	64	no	—
626	C₂×H(5,𝔽₂)	C₃×D₄	1	32	yes	complemented
627	C₂²×#41	—	2	32	no	—
628	C₂²×#41	—	2	64	no	—
629	C₂²×#41	—	2	32	no	—
630	C₂²×#41	—	2	16	no	—
631	C₂²×#41	C₂³×C₃	1	4	yes	—
632	C₂²×#41	C₂³×C₃	1	4	yes	—
633	C₂²×#41	C₂³×C₃	1	8	yes	—
634	C₂²×#41	C₂³×C₃	1	4	yes	complemented
635	C₂²×#41	C₂³×C₃	1	16	yes	complemented
636	C₂²×#41	C₂³×C₃	1	8	yes	complemented
637	C₂²×#41	C₂³×C₃	1	4	yes	complemented
638	C₂³×Q₈	C₂³×C₃	1	2	yes	complemented
639	C₂³×D₄	—	2	32	no	—
640	C₂³×D₄	—	2	16	no	—
641	C₂³×D₄	—	2	32	no	—
642	C₂³×D₄	—	2	64	no	—
643	C₂³×D₄	—	2	64	no	—
644	C₂³×D₄	—	2	16	no	—
645	C₂³×D₄	—	2	8	no	—
646	C₂³×D₄	—	2	16	no	—
647	C₂³×D₄	—	4	16	no	—
648	C₂³×D₄	C₃×D₄	1	16	yes	complemented
649	C₂³×D₄	C₂³×C₃	1	4	yes	—
650	C₂³×D₄	C₂³×C₃	1	1	yes	characteristic
651	C₂³×D₄	C₂³×C₃	1	8	yes	—
652	C₂³×D₄	C₂³×C₃	1	8	yes	—
653	C₂³×D₄	C₂³×C₃	1	2	yes	—
654	C₂³×D₄	C₂³×C₃	1	8	yes	—
655	C₂³×D₄	C₂³×C₃	1	4	yes	—
656	C₂³×D₄	C₂³×C₃	1	1	yes	characteristic
657	C₂³×D₄	C₂³×C₃	1	4	yes	—
658	C₂³×D₄	C₂³×C₃	1	8	yes	—
659	C₂³×D₄	C₂³×C₃	1	2	yes	—
660	C₂³×D₄	C₂³×C₃	1	1	yes	characteristic
661	C₂³×D₄	C₂³×C₃	1	8	yes	complemented
662	C₂³×D₄	C₂³×C₃	1	2	yes	complemented
663	C₂³×D₄	C₂³×C₃	1	8	yes	complemented
664	C₂³×D₄	C₂³×C₃	1	8	yes	complemented
665	C₂³×D₄	C₂³×C₃	1	16	yes	complemented
666	C₂³×D₄	C₂³×C₃	1	8	yes	complemented
667	C₂³×D₄	C₂³×C₃	1	2	yes	complemented
668	C₂³×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
669	C₂³×D₄	C₂³×C₃	1	8	yes	complemented
670	C₂³×D₄	C₂³×C₃	1	8	yes	complemented
671	C₂³×D₄	C₂³×C₃	1	2	yes	complemented
672	C₂³×D₄	C₂³×C₃	1	2	yes	complemented
673	C₂³×D₄	C₂³×C₃	1	16	yes	complemented
674	C₂³×D₄	C₂³×C₃	1	2	yes	complemented
675	C₂⁴×C₄	C₂³×C₃	1	1	yes	characteristic
676	C₂⁴×C₄	C₂³×C₃	1	4	yes	complemented
677	C₂⁴×C₄	C₂³×C₃	1	4	yes	complemented
678	C₂⁴×C₄	C₂³×C₃	1	1	yes	characteristic, complemented
679	C₂⁴×C₄	C₂³×C₃	1	2	yes	complemented
680	#546	—	2	128	no	—
681	D₄²	—	2	64	no	—
682	D₄²	—	2	64	no	—
683	D₄²	—	2	128	no	—
684	#535	—	2	32	no	—
685	#534	—	2	64	no	—
686	C₂×#127	—	2	8	no	—
687	C₂×#127	C₂³×C₃	1	8	yes	complemented
688	C₂×#127	C₂³×C₃	1	8	yes	complemented
689	C₂×#124	C₂³×C₃	1	8	yes	complemented
690	#525	—	2	32	no	—
691	C₂×#123	C₂³×C₃	1	16	yes	complemented
692	C₂×#123	C₂³×C₃	1	8	yes	complemented
693	C₂×C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
694	C₂×#121	—	2	8	no	—
695	C₂×#121	—	2	16	no	—
696	C₂×#121	—	2	8	no	—
697	C₂×#121	C₂³×C₃	1	4	yes	—
698	C₂×#121	C₂³×C₃	1	16	yes	complemented
699	C₂×#121	C₂³×C₃	1	4	yes	complemented
700	C₂×#121	C₂³×C₃	1	8	yes	complemented
701	C₂×#121	C₂³×C₃	1	8	yes	complemented
702	C₂×#121	C₂³×C₃	1	16	yes	complemented
703	C₂×#121	C₂³×C₃	1	32	yes	complemented
704	C₂×#120	—	2	16	no	—
705	C₂×#120	—	2	16	no	—
706	C₂×#120	—	2	64	no	—
707	C₂×#120	—	4	32	no	—
708	C₂×#120	C₂³×C₃	1	8	yes	—
709	C₂×#120	C₂³×C₃	1	8	yes	—
710	C₂×#120	C₂³×C₃	1	16	yes	complemented
711	C₂×#120	C₂³×C₃	1	8	yes	complemented
712	C₂×#120	C₂³×C₃	1	8	yes	complemented
713	C₂×#120	C₂³×C₃	1	16	yes	complemented
714	C₂×#120	C₂³×C₃	1	32	yes	complemented
715	C₂×#120	C₂³×C₃	1	16	yes	complemented
716	C₂×#120	C₂³×C₃	1	16	yes	complemented
717	C₂×#120	C₂³×C₃	1	16	yes	complemented
718	C₂×#120	C₂³×C₃	1	16	yes	complemented
719	C₂×#120	C₂³×C₃	1	16	yes	complemented
720	#518	—	2	16	no	—
721	C₂×C₄×D₄	—	2	8	no	—
722	C₂×C₄×D₄	—	2	8	no	—
723	C₂×C₄×D₄	C₂³×C₃	1	4	yes	—
724	C₂×C₄×D₄	C₂³×C₃	1	16	yes	complemented
725	C₂×C₄×D₄	C₂³×C₃	1	8	yes	complemented
726	C₂×C₄×D₄	C₂³×C₃	1	4	yes	complemented
727	C₂×C₄×D₄	C₂³×C₃	1	16	yes	complemented
728	C₂×#117	C₂³×C₃	1	4	yes	complemented
729	C₂²×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
730	C₂²×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
731	C₂²×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
732	C₂²×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
733	C₂²×C₂²⋊C₄	C₂³×C₃	1	8	yes	complemented
734	C₂²×C₂²⋊C₄	C₂³×C₃	1	16	yes	complemented
735	C₂²×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
736	C₂²×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
737	C₂²×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
738	C₂²×C₂²⋊C₄	C₂³×C₃	1	16	yes	complemented
739	C₂²×C₂²⋊C₄	C₂³×C₃	1	8	yes	complemented
740	C₂²×C₂²⋊C₄	C₂³×C₃	1	8	yes	complemented
741	C₂²×C₄²	C₂³×C₃	1	1	yes	characteristic, complemented
742	#395	C₂³×C₃	1	8	yes	complemented
743	#394	C₂³×C₃	1	16	yes	complemented
744	#394	C₂³×C₃	1	32	yes	complemented
745	#394	C₂³×C₃	1	8	yes	complemented
746	#393	C₂³×C₃	1	16	yes	complemented
747	#393	C₂³×C₃	1	8	yes	complemented
748	#392	C₂³×C₃	1	32	yes	complemented
749	#392	C₂³×C₃	1	32	yes	complemented
750	#392	C₂³×C₃	1	16	yes	complemented
751	#392	C₂³×C₃	1	16	yes	complemented
752	#392	C₂³×C₃	1	32	yes	complemented
753	#392	C₂³×C₃	1	32	yes	complemented
754	#392	C₂³×C₃	1	8	yes	complemented
755	#391	C₂³×C₃	1	8	yes	complemented
756	#391	C₂³×C₃	1	8	yes	complemented
757	#390	C₂³×C₃	1	16	yes	complemented
758	#390	C₂³×C₃	1	8	yes	complemented
759	#390	C₂³×C₃	1	8	yes	complemented
760	#386	C₂³×C₃	1	8	yes	—
761	#386	C₂³×C₃	1	8	yes	complemented
762	#386	C₂³×C₃	1	16	yes	complemented
763	#386	C₂³×C₃	1	32	yes	complemented
764	#386	C₂³×C₃	1	32	yes	complemented
765	#386	C₂³×C₃	1	16	yes	complemented
766	#386	C₂³×C₃	1	32	yes	complemented
767	#386	C₂³×C₃	1	16	yes	complemented
768	#386	C₂³×C₃	1	32	yes	complemented
769	#386	C₂³×C₃	1	8	yes	complemented
770	#386	C₂³×C₃	1	16	yes	complemented
771	#386	C₂³×C₃	1	16	yes	complemented
772	#386	C₂³×C₃	1	16	yes	complemented
773	#385	C₂³×C₃	1	8	yes	complemented
774	#385	C₂³×C₃	1	16	yes	complemented
775	#385	C₂³×C₃	1	16	yes	complemented
776	#381	C₂³×C₃	1	4	yes	complemented
777	#381	C₂³×C₃	1	16	yes	complemented
778	#380	C₂³×C₃	1	16	yes	complemented
779	#380	C₂³×C₃	1	4	yes	complemented
780	#380	C₂³×C₃	1	4	yes	complemented
781	#379	C₂³×C₃	1	4	yes	—
782	#379	C₂³×C₃	1	8	yes	complemented
783	#379	C₂³×C₃	1	16	yes	complemented
784	#379	C₂³×C₃	1	8	yes	complemented
785	#379	C₂³×C₃	1	8	yes	complemented
786	#379	C₂³×C₃	1	16	yes	complemented
787	#379	C₂³×C₃	1	8	yes	complemented
788	C₄×C₂²⋊C₄	C₂³×C₃	1	4	yes	complemented
789	C₄×C₂²⋊C₄	C₂³×C₃	1	4	yes	complemented
790	C₄×C₂²⋊C₄	C₂³×C₃	1	16	yes	complemented
791	C₂×#95	C₂³×C₃	1	16	yes	complemented
792	C₂⁴×C₃	—	2	128	no	—
793	C₂⁴×C₃	—	2	2	no	—
794	C₂⁴×C₃	—	2	16	no	—
795	C₂⁴×C₃	—	2	4	no	—
796	C₂⁴×C₃	—	2	16	no	—
797	C₂⁴×C₃	—	2	8	no	—
798	C₂⁴×C₃	—	2	16	no	—
799	C₂⁴×C₃	—	2	4	no	—
800	C₂⁴×C₃	—	2	4	no	—
801	C₂⁴×C₃	—	2	64	no	—
802	C₂⁴×C₃	—	2	16	no	—
803	C₂⁴×C₃	—	2	32	no	—
804	C₂⁴×C₃	—	2	8	no	—
805	C₂⁴×C₃	—	2	16	no	—
806	C₂⁴×C₃	—	2	16	no	—
807	C₂⁴×C₃	—	2	16	no	—
808	C₂⁴×C₃	—	2	4	no	—
809	C₂⁴×C₃	—	2	4	no	—
810	C₂⁴×C₃	—	2	16	no	—
811	C₂⁴×C₃	—	2	16	no	—
812	C₂⁴×C₃	—	2	32	no	—
813	C₂⁴×C₃	—	2	16	no	—
814	C₂⁴×C₃	—	2	8	no	—
815	C₂⁴×C₃	—	4	4	no	—
816	C₂⁴×C₃	—	4	4	no	—
817	C₂⁴×C₃	—	4	8	no	—
818	C₂⁴×C₃	—	4	2	no	—
819	C₂⁴×C₃	—	4	2	no	—
820	C₂⁴×C₃	—	4	8	no	—
821	C₂⁴×C₃	—	4	32	no	—
822	C₂⁴×C₃	—	4	16	no	—
823	C₂⁴×C₃	—	4	8	no	—
824	C₂⁴×C₃	—	4	8	no	—
825	C₂⁴×C₃	—	4	4	no	—
826	C₂⁴×C₃	—	4	4	no	—
827	C₂⁴×C₃	—	4	8	no	—
828	C₂⁴×C₃	—	4	16	no	—
829	C₂⁴×C₃	—	4	16	no	—
830	C₂⁴×C₃	—	4	4	no	—
831	C₂⁴×C₃	—	4	4	no	—
832	C₂⁴×C₃	—	4	16	no	—
833	C₂⁴×C₃	—	4	16	no	—
834	C₂⁴×C₃	—	4	32	no	—
835	C₂⁴×C₃	—	4	32	no	—
836	C₂⁴×C₃	—	8	32	no	—
837	C₂⁴×C₃	—	8	16	no	—
838	C₂⁴×C₃	—	8	64	no	—
839	C₂⁴×C₃	—	8	64	no	—
840	C₂⁴×C₃	—	8	128	no	—
841	C₂⁴×C₃	—	8	32	no	—
842	C₂⁴×C₃	—	8	16	no	—
843	C₂⁴×C₃	C₂²×D₄	1	16	yes	—
844	C₂⁴×C₃	C₂²×D₄	1	4	yes	—
845	C₂⁴×C₃	C₂²×D₄	1	8	yes	—
846	C₂⁴×C₃	C₂²×D₄	1	16	yes	—
847	C₂⁴×C₃	C₂²×D₄	1	16	yes	—
848	C₂⁴×C₃	C₂²×D₄	1	8	yes	—
849	C₂⁴×C₃	C₂²×D₄	1	32	yes	complemented
850	C₂⁴×C₃	C₂⁵	1	4	yes	—
851	C₂⁴×C₃	C₂⁵	1	8	yes	—
852	C₂⁴×C₃	C₂⁵	1	4	yes	—
853	C₂⁴×C₃	C₂⁵	1	1	yes	characteristic
854	C₂⁴×C₃	C₂⁵	1	2	yes	—
855	C₂⁴×C₃	C₂⁵	1	1	yes	characteristic
856	C₂⁴×C₃	C₂⁵	1	4	yes	—
857	C₂⁴×C₃	C₂⁵	1	1	yes	characteristic
858	C₃×#41	—	2	128	no	—
859	C₃×#41	—	2	512	no	—
860	C₃×#41	—	2	128	no	—
861	C₃×#41	—	2	256	no	—
862	C₃×#41	—	2	128	no	—
863	C₃×#41	—	2	256	no	—
864	C₃×#41	—	2	128	no	—
865	C₂×C₃×Q₈	—	2	64	no	—
866	C₂×C₃×Q₈	—	2	8	no	—
867	C₂×C₃×Q₈	—	2	16	no	—
868	C₂×C₃×Q₈	—	2	8	no	—
869	C₂×C₃×Q₈	—	2	8	no	—
870	C₂×C₃×Q₈	C₂²×D₄	1	16	yes	complemented
871	C₂×C₃×D₄	—	2	128	no	—
872	C₂×C₃×D₄	—	2	256	no	—
873	C₂×C₃×D₄	—	2	64	no	—
874	C₂×C₃×D₄	—	2	256	no	—
875	C₂×C₃×D₄	—	2	512	no	—
876	C₂×C₃×D₄	—	2	256	no	—
877	C₂×C₃×D₄	—	2	256	no	—
878	C₂×C₃×D₄	—	2	256	no	—
879	C₂×C₃×D₄	—	2	32	no	—
880	C₂×C₃×D₄	—	2	64	no	—
881	C₂×C₃×D₄	—	2	256	no	—
882	C₂×C₃×D₄	—	2	4	no	—
883	C₂×C₃×D₄	—	2	4	no	—
884	C₂×C₃×D₄	—	2	32	no	—
885	C₂×C₃×D₄	—	2	16	no	—
886	C₂×C₃×D₄	—	2	32	no	—
887	C₂×C₃×D₄	—	2	16	no	—
888	C₂×C₃×D₄	—	2	16	no	—
889	C₂×C₃×D₄	—	2	16	no	—
890	C₂×C₃×D₄	—	2	32	no	—
891	C₂×C₃×D₄	—	2	16	no	—
892	C₂×C₃×D₄	—	2	32	no	—
893	C₂×C₃×D₄	—	2	32	no	—
894	C₂×C₃×D₄	—	2	4	no	—
895	C₂×C₃×D₄	—	2	4	no	—
896	C₂×C₃×D₄	—	2	128	no	—
897	C₂×C₃×D₄	—	2	128	no	—
898	C₂×C₃×D₄	—	2	256	no	—
899	C₂×C₃×D₄	—	2	32	no	—
900	C₂×C₃×D₄	—	2	16	no	—
901	C₂×C₃×D₄	—	2	8	no	—
902	C₂×C₃×D₄	—	2	16	no	—
903	C₂×C₃×D₄	—	2	8	no	—
904	C₂×C₃×D₄	—	2	32	no	—
905	C₂×C₃×D₄	—	2	16	no	—
906	C₂×C₃×D₄	—	2	16	no	—
907	C₂×C₃×D₄	—	2	32	no	—
908	C₂×C₃×D₄	—	2	16	no	—
909	C₂×C₃×D₄	—	2	16	no	—
910	C₂×C₃×D₄	—	2	64	no	—
911	C₂×C₃×D₄	—	2	32	no	—
912	C₂×C₃×D₄	—	2	8	no	—
913	C₂×C₃×D₄	—	2	16	no	—
914	C₂×C₃×D₄	—	2	32	no	—
915	C₂×C₃×D₄	—	2	8	no	—
916	C₂×C₃×D₄	—	2	16	no	—
917	C₂×C₃×D₄	—	2	8	no	—
918	C₂×C₃×D₄	—	2	16	no	—
919	C₂×C₃×D₄	—	2	8	no	—
920	C₂×C₃×D₄	—	2	4	no	—
921	C₂×C₃×D₄	—	2	16	no	—
922	C₂×C₃×D₄	—	4	8	no	—
923	C₂×C₃×D₄	—	4	8	no	—
924	C₂×C₃×D₄	—	4	8	no	—
925	C₂×C₃×D₄	—	4	16	no	—
926	C₂×C₃×D₄	—	4	32	no	—
927	C₂×C₃×D₄	—	4	32	no	—
928	C₂×C₃×D₄	—	4	32	no	—
929	C₂×C₃×D₄	—	4	16	no	—
930	C₂×C₃×D₄	—	4	128	no	—
931	C₂×C₃×D₄	—	4	128	no	—
932	C₂×C₃×D₄	—	4	32	no	—
933	C₂×C₃×D₄	—	4	32	no	—
934	C₂×C₃×D₄	—	4	32	no	—
935	C₂×C₃×D₄	—	4	128	no	—
936	C₂×C₃×D₄	—	4	16	no	—
937	C₂×C₃×D₄	—	8	16	no	—
938	C₂×C₃×D₄	—	8	128	no	—
939	C₂×C₃×D₄	#120	1	64	yes	complemented
940	C₂×C₃×D₄	C₂²×D₄	1	32	yes	—
941	C₂×C₃×D₄	C₂²×D₄	1	32	yes	—
942	C₂×C₃×D₄	C₂²×D₄	1	16	yes	—
943	C₂×C₃×D₄	C₂²×D₄	1	32	yes	—
944	C₂×C₃×D₄	C₂²×D₄	1	16	yes	—
945	C₂×C₃×D₄	C₂²×D₄	1	64	yes	complemented
946	C₂×C₃×D₄	C₂²×D₄	1	16	yes	complemented
947	C₂×C₃×D₄	H(5,𝔽₂)	1	8	yes	complemented
948	C₂²×C₃×C₄	—	2	128	no	—
949	C₂²×C₃×C₄	—	2	128	no	—
950	C₂²×C₃×C₄	—	2	2	no	—
951	C₂²×C₃×C₄	—	2	8	no	—
952	C₂²×C₃×C₄	—	2	16	no	—
953	C₂²×C₃×C₄	—	2	16	no	—
954	C₂²×C₃×C₄	—	2	4	no	—
955	C₂²×C₃×C₄	—	2	16	no	—
956	C₂²×C₃×C₄	—	2	16	no	—
957	C₂²×C₃×C₄	—	2	32	no	—
958	C₂²×C₃×C₄	—	2	16	no	—
959	C₂²×C₃×C₄	—	2	8	no	—
960	C₂²×C₃×C₄	—	2	16	no	—
961	C₂²×C₃×C₄	—	2	32	no	—
962	C₂²×C₃×C₄	—	2	16	no	—
963	C₂²×C₃×C₄	—	2	8	no	—
964	C₂²×C₃×C₄	—	2	16	no	—
965	C₂²×C₃×C₄	—	2	16	no	—
966	C₂²×C₃×C₄	—	2	4	no	—
967	C₂²×C₃×C₄	—	2	2	no	—
968	C₂²×C₃×C₄	—	2	4	no	—
969	C₂²×C₃×C₄	—	2	2	no	—
970	C₂²×C₃×C₄	—	2	16	no	—
971	C₂²×C₃×C₄	—	2	4	no	—
972	C₂²×C₃×C₄	—	2	32	no	—
973	C₂²×C₃×C₄	—	2	8	no	—
974	C₂²×C₃×C₄	—	2	16	no	—
975	C₂²×C₃×C₄	—	2	16	no	—
976	C₂²×C₃×C₄	—	4	8	no	—
977	C₂²×C₃×C₄	—	4	4	no	—
978	C₂²×C₃×C₄	—	4	2	no	—
979	C₂²×C₃×C₄	—	4	16	no	—
980	C₂²×C₃×C₄	—	4	16	no	—
981	C₂²×C₃×C₄	—	4	32	no	—
982	C₂²×C₃×C₄	—	4	16	no	—
983	C₂²×C₃×C₄	C₂²×D₄	1	4	yes	—
984	C₂²×C₃×C₄	C₂²×D₄	1	8	yes	—
985	C₂²×C₃×C₄	C₂²×D₄	1	8	yes	—
986	C₂²×C₃×C₄	C₂²×D₄	1	4	yes	—
987	C₂²×C₃×C₄	C₂²×D₄	1	8	yes	—
988	C₂²×C₃×C₄	C₂²×D₄	1	32	yes	complemented
989	C₂²×C₃×C₄	C₂²×D₄	1	32	yes	complemented
990	C₂²×C₃×C₄	C₂⁵	1	2	yes	—
991	C₂²×C₃×C₄	C₂⁵	1	4	yes	—
992	C₂²×C₃×C₄	C₂⁵	1	16	yes	—
993	C₂²×C₃×C₄	C₂⁵	1	2	yes	—
994	C₂²×C₃×C₄	C₂⁵	1	2	yes	—
995	C₂²×C₃×C₄	C₂⁵	1	8	yes	—
996	C₂²×C₃×C₄	C₂⁵	1	2	yes	—
997	C₂²×C₃×C₄	C₂⁵	1	2	yes	—
998	C₃×C₄⋊C₄	—	2	8	no	—
999	C₃×C₄⋊C₄	—	2	8	no	—
1000	C₃×C₄⋊C₄	—	2	16	no	—
1001	C₃×C₄⋊C₄	—	2	32	no	—
1002	C₃×C₂²⋊C₄	—	2	16	no	—
1003	C₃×C₂²⋊C₄	—	2	4	no	—
1004	C₃×C₂²⋊C₄	—	2	16	no	—
1005	C₃×C₂²⋊C₄	—	2	4	no	—
1006	C₃×C₂²⋊C₄	—	2	32	no	—
1007	C₃×C₂²⋊C₄	—	2	16	no	—
1008	C₃×C₂²⋊C₄	—	2	32	no	—
1009	C₃×C₂²⋊C₄	—	2	16	no	—
1010	C₃×C₂²⋊C₄	—	2	32	no	—
1011	C₃×C₂²⋊C₄	—	2	8	no	—
1012	C₃×C₂²⋊C₄	—	2	16	no	—
1013	C₃×C₂²⋊C₄	—	2	64	no	—
1014	C₃×C₂²⋊C₄	—	2	32	no	—
1015	C₃×C₂²⋊C₄	—	4	16	no	—
1016	C₃×C₂²⋊C₄	—	4	32	no	—
1017	C₃×C₂²⋊C₄	—	4	8	no	—
1018	C₃×C₂²⋊C₄	—	4	16	no	—
1019	C₃×C₂²⋊C₄	—	4	16	no	—
1020	C₃×C₄²	—	2	8	no	—
1021	C₃×C₄²	—	2	16	no	—
1022	C₂⁵	—	2	16	no	—
1023	C₂⁵	—	2	16	no	—
1024	C₂⁵	—	2	32	no	—
1025	C₂⁵	—	2	8	no	—
1026	C₂⁵	—	2	16	no	—
1027	C₂⁵	—	4	8	no	—
1028	C₂⁵	—	4	8	no	—
1029	C₂⁵	—	4	16	no	—
1030	C₂⁵	—	8	4	no	—
1031	C₂⁵	—	8	8	no	—
1032	C₂⁵	—	8	4	no	—
1033	C₂⁵	C₂×C₃×D₄	1	16	yes	complemented
1034	C₂⁵	C₂⁴×C₃	1	1	yes	characteristic
1035	C₂⁵	C₂⁴×C₃	1	4	yes	—
1036	C₂⁵	C₂⁴×C₃	1	8	yes	—
1037	C₂⁵	C₂⁴×C₃	1	1	yes	characteristic
1038	C₂⁵	C₂⁴×C₃	1	4	yes	—
1039	C₂⁵	C₂⁴×C₃	1	2	yes	—
1040	C₂⁵	C₂⁴×C₃	1	8	yes	—
1041	C₂⁵	C₂⁴×C₃	1	4	yes	—
1042	C₂⁵	C₂⁴×C₃	1	2	yes	—
1043	C₂⁵	C₂⁴×C₃	1	8	yes	—
1044	C₂⁵	C₂⁴×C₃	1	2	yes	—
1045	H(5,𝔽₂)	—	2	256	no	—
1046	H(5,𝔽₂)	—	2	1024	no	—
1047	H(5,𝔽₂)	—	2	512	no	—
1048	H(5,𝔽₂)	—	2	256	no	—
1049	C₂×#41	—	2	512	no	—
1050	C₂×#41	—	2	256	no	—
1051	C₂×#41	—	2	32	no	—
1052	C₂×#41	—	2	16	no	—
1053	C₂×#41	—	2	32	no	—
1054	C₂×#41	—	2	32	no	—
1055	C₂×#41	—	2	32	no	—
1056	C₂×#41	—	2	64	no	—
1057	C₂×#41	—	2	32	no	—
1058	C₂×#41	—	2	64	no	—
1059	C₂×#41	—	2	16	no	—
1060	C₂×#41	—	2	16	no	—
1061	C₂×#41	—	2	16	no	—
1062	C₂×#41	—	2	16	no	—
1063	C₂×#41	—	2	16	no	—
1064	C₂×#41	—	2	16	no	—
1065	C₂×#41	—	2	64	no	—
1066	C₂×#41	—	2	32	no	—
1067	C₂×#41	—	2	32	no	—
1068	C₂×#41	C₂×C₃×D₄	1	32	yes	complemented
1069	C₂×#41	C₂×C₃×D₄	1	64	yes	complemented
1070	C₂²×Q₈	—	2	16	no	—
1071	C₂²×Q₈	—	2	8	no	—
1072	C₂²×Q₈	C₂⁴×C₃	1	4	yes	—
1073	C₂²×Q₈	C₂⁴×C₃	1	4	yes	—
1074	C₂²×D₄	—	2	512	no	—
1075	C₂²×D₄	—	2	512	no	—
1076	C₂²×D₄	—	2	4	no	—
1077	C₂²×D₄	—	2	16	no	—
1078	C₂²×D₄	—	2	32	no	—
1079	C₂²×D₄	—	2	32	no	—
1080	C₂²×D₄	—	2	16	no	—
1081	C₂²×D₄	—	2	32	no	—
1082	C₂²×D₄	—	2	32	no	—
1083	C₂²×D₄	—	2	32	no	—
1084	C₂²×D₄	—	2	32	no	—
1085	C₂²×D₄	—	2	32	no	—
1086	C₂²×D₄	—	2	64	no	—
1087	C₂²×D₄	—	2	128	no	—
1088	C₂²×D₄	—	2	32	no	—
1089	C₂²×D₄	—	2	32	no	—
1090	C₂²×D₄	—	2	64	no	—
1091	C₂²×D₄	—	2	32	no	—
1092	C₂²×D₄	—	2	32	no	—
1093	C₂²×D₄	—	2	32	no	—
1094	C₂²×D₄	—	2	64	no	—
1095	C₂²×D₄	—	2	32	no	—
1096	C₂²×D₄	—	2	64	no	—
1097	C₂²×D₄	—	2	16	no	—
1098	C₂²×D₄	—	2	64	no	—
1099	C₂²×D₄	—	2	64	no	—
1100	C₂²×D₄	—	2	32	no	—
1101	C₂²×D₄	—	2	8	no	—
1102	C₂²×D₄	—	2	8	no	—
1103	C₂²×D₄	—	2	8	no	—
1104	C₂²×D₄	—	2	8	no	—
1105	C₂²×D₄	—	2	8	no	—
1106	C₂²×D₄	—	2	16	no	—
1107	C₂²×D₄	—	2	32	no	—
1108	C₂²×D₄	—	2	32	no	—
1109	C₂²×D₄	—	2	8	no	—
1110	C₂²×D₄	—	2	64	no	—
1111	C₂²×D₄	—	2	32	no	—
1112	C₂²×D₄	—	2	64	no	—
1113	C₂²×D₄	—	2	32	no	—
1114	C₂²×D₄	—	2	8	no	—
1115	C₂²×D₄	—	2	8	no	—
1116	C₂²×D₄	—	2	4	no	—
1117	C₂²×D₄	—	2	8	no	—
1118	C₂²×D₄	—	2	32	no	—
1119	C₂²×D₄	—	2	32	no	—
1120	C₂²×D₄	—	4	8	no	—
1121	C₂²×D₄	—	4	16	no	—
1122	C₂²×D₄	—	4	16	no	—
1123	C₂²×D₄	—	4	8	no	—
1124	C₂²×D₄	—	4	16	no	—
1125	C₂²×D₄	—	4	8	no	—
1126	C₂²×D₄	—	4	32	no	—
1127	C₂²×D₄	—	4	128	no	—
1128	C₂²×D₄	—	4	64	no	—
1129	C₂²×D₄	—	8	4	no	—
1130	C₂²×D₄	—	8	16	no	—
1131	C₂²×D₄	C₂×C₃×D₄	1	8	yes	—
1132	C₂²×D₄	C₂×C₃×D₄	1	16	yes	—
1133	C₂²×D₄	C₂×C₃×D₄	1	16	yes	complemented
1134	C₂²×D₄	C₂×C₃×D₄	1	8	yes	complemented
1135	C₂²×D₄	C₂×C₃×D₄	1	32	yes	complemented
1136	C₂²×D₄	C₂×C₃×D₄	1	32	yes	complemented
1137	C₂²×D₄	C₂×C₃×D₄	1	64	yes	complemented
1138	C₂²×D₄	C₂×C₃×D₄	1	64	yes	complemented
1139	C₂²×D₄	C₂⁴×C₃	1	2	yes	—
1140	C₂²×D₄	C₂⁴×C₃	1	4	yes	—
1141	C₂²×D₄	C₂⁴×C₃	1	8	yes	—
1142	C₂²×D₄	C₂⁴×C₃	1	4	yes	—
1143	C₂²×D₄	C₂⁴×C₃	1	8	yes	—
1144	C₂²×D₄	C₂⁴×C₃	1	16	yes	—
1145	C₂²×D₄	C₂⁴×C₃	1	4	yes	—
1146	C₂²×D₄	C₂⁴×C₃	1	16	yes	—
1147	C₂²×D₄	C₂⁴×C₃	1	8	yes	—
1148	C₂²×D₄	C₂⁴×C₃	1	8	yes	—
1149	C₂²×D₄	C₂⁴×C₃	1	8	yes	—
1150	C₂²×D₄	C₂⁴×C₃	1	8	yes	—
1151	C₂²×D₄	C₂⁴×C₃	1	4	yes	—
1152	C₂²×D₄	C₂⁴×C₃	1	16	yes	—
1153	C₂²×D₄	C₂⁴×C₃	1	4	yes	—
1154	C₂²×D₄	C₂⁴×C₃	1	2	yes	—
1155	C₂²×D₄	C₂⁴×C₃	1	8	yes	—
1156	C₂²×D₄	C₂⁴×C₃	1	32	yes	—
1157	C₂²×D₄	C₂⁴×C₃	1	4	yes	—
1158	C₂²×D₄	C₂⁴×C₃	1	4	yes	—
1159	C₂³×C₄	—	2	16	no	—
1160	C₂³×C₄	—	2	8	no	—
1161	C₂³×C₄	—	2	16	no	—
1162	C₂³×C₄	—	2	32	no	—
1163	C₂³×C₄	—	2	32	no	—
1164	C₂³×C₄	—	2	8	no	—
1165	C₂³×C₄	—	2	4	no	—
1166	C₂³×C₄	—	2	8	no	—
1167	C₂³×C₄	—	4	8	no	—
1168	C₂³×C₄	C₂×C₃×D₄	1	8	yes	complemented
1169	C₂³×C₄	C₂⁴×C₃	1	1	yes	characteristic
1170	C₂³×C₄	C₂⁴×C₃	1	1	yes	characteristic
1171	C₂³×C₄	C₂⁴×C₃	1	4	yes	—
1172	C₂³×C₄	C₂⁴×C₃	1	4	yes	—
1173	C₂³×C₄	C₂⁴×C₃	1	8	yes	—
1174	C₂³×C₄	C₂⁴×C₃	1	8	yes	—
1175	C₂³×C₄	C₂⁴×C₃	1	8	yes	—
1176	C₂³×C₄	C₂⁴×C₃	1	1	yes	characteristic
1177	C₂³×C₄	C₂⁴×C₃	1	2	yes	—
1178	C₂³×C₄	C₂⁴×C₃	1	2	yes	—
1179	C₂³×C₄	C₂⁴×C₃	1	8	yes	—
1180	C₂³×C₄	C₂⁴×C₃	1	8	yes	—
1181	C₂³×C₄	C₂⁴×C₃	1	1	yes	characteristic
1182	C₂³×C₄	C₂⁴×C₃	1	16	yes	—
1183	C₂³×C₄	C₂⁴×C₃	1	2	yes	—
1184	C₂³×C₄	C₂⁴×C₃	1	1	yes	characteristic
1185	#127	—	2	32	no	—
1186	#127	—	2	32	no	—
1187	#124	—	2	32	no	—
1188	#123	—	2	32	no	—
1189	#123	—	2	64	no	—
1190	C₂²⋊Q₈	—	2	32	no	—
1191	#121	—	2	32	no	—
1192	#121	—	2	64	no	—
1193	#121	—	2	32	no	—
1194	#121	—	2	128	no	—
1195	#121	—	2	16	no	—
1196	#121	—	2	16	no	—
1197	#121	—	2	64	no	—
1198	#120	—	2	32	no	—
1199	#120	—	2	32	no	—
1200	#120	—	2	64	no	—
1201	#120	—	2	32	no	—
1202	#120	—	2	64	no	—
1203	#120	—	2	64	no	—
1204	#120	—	2	128	no	—
1205	#120	—	2	32	no	—
1206	#120	—	4	32	no	—
1207	#120	—	4	32	no	—
1208	#120	—	4	32	no	—
1209	#120	—	8	16	no	—
1210	C₄×D₄	—	2	32	no	—
1211	C₄×D₄	—	2	64	no	—
1212	C₄×D₄	—	2	16	no	—
1213	C₄×D₄	—	2	16	no	—
1214	C₄×D₄	—	2	64	no	—
1215	#117	—	2	16	no	—
1216	C₂×C₄⋊C₄	—	2	4	no	—
1217	C₂×C₄⋊C₄	—	2	4	no	—
1218	C₂×C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1219	C₂×C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1220	C₂×C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1221	C₂×C₄⋊C₄	C₂⁴×C₃	1	16	yes	—
1222	C₂×C₂²⋊C₄	—	2	4	no	—
1223	C₂×C₂²⋊C₄	—	2	8	no	—
1224	C₂×C₂²⋊C₄	—	2	32	no	—
1225	C₂×C₂²⋊C₄	—	2	8	no	—
1226	C₂×C₂²⋊C₄	—	2	4	no	—
1227	C₂×C₂²⋊C₄	—	2	8	no	—
1228	C₂×C₂²⋊C₄	—	2	64	no	—
1229	C₂×C₂²⋊C₄	—	4	32	no	—
1230	C₂×C₂²⋊C₄	—	4	16	no	—
1231	C₂×C₂²⋊C₄	—	8	8	no	—
1232	C₂×C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1233	C₂×C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1234	C₂×C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1235	C₂×C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
1236	C₂×C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1237	C₂×C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
1238	C₂×C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1239	C₂×C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1240	C₂×C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
1241	C₂×C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1242	C₂×C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1243	C₂×C₂²⋊C₄	C₂⁴×C₃	1	32	yes	—
1244	C₂×C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
1245	C₂×C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1246	C₂×C₂²⋊C₄	C₂⁴×C₃	1	32	yes	—
1247	C₂×C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
1248	C₂×C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
1249	C₂×C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
1250	C₂×C₄²	—	2	4	no	—
1251	C₂×C₄²	C₂⁴×C₃	1	8	yes	—
1252	C₂×C₄²	C₂⁴×C₃	1	4	yes	—
1253	#95	C₂⁴×C₃	1	16	yes	—
1254	#95	C₂⁴×C₃	1	32	yes	—
1255	#95	C₂⁴×C₃	1	8	yes	—
1256	#95	C₂⁴×C₃	1	8	yes	—
1257	#95	C₂⁴×C₃	1	16	yes	—
1258	C₂³×C₃	—	2	2	no	—
1259	C₂³×C₃	—	2	8	no	—
1260	C₂³×C₃	—	2	2	no	—
1261	C₂³×C₃	—	2	8	no	—
1262	C₂³×C₃	—	2	2	no	—
1263	C₂³×C₃	—	2	2	no	—
1264	C₂³×C₃	—	2	32	no	—
1265	C₂³×C₃	—	2	8	no	—
1266	C₂³×C₃	—	2	64	no	—
1267	C₂³×C₃	—	2	4	no	—
1268	C₂³×C₃	—	2	2	no	—
1269	C₂³×C₃	—	2	8	no	—
1270	C₂³×C₃	—	2	8	no	—
1271	C₂³×C₃	—	2	2	no	—
1272	C₂³×C₃	—	2	8	no	—
1273	C₂³×C₃	—	2	16	no	—
1274	C₂³×C₃	—	2	8	no	—
1275	C₂³×C₃	—	2	2	no	—
1276	C₂³×C₃	—	2	2	no	—
1277	C₂³×C₃	—	2	2	no	—
1278	C₂³×C₃	—	2	8	no	—
1279	C₂³×C₃	—	2	16	no	—
1280	C₂³×C₃	—	2	4	no	—
1281	C₂³×C₃	—	2	32	no	—
1282	C₂³×C₃	—	2	8	no	—
1283	C₂³×C₃	—	2	8	no	—
1284	C₂³×C₃	—	2	32	no	—
1285	C₂³×C₃	—	2	32	no	—
1286	C₂³×C₃	—	2	16	no	—
1287	C₂³×C₃	—	2	64	no	—
1288	C₂³×C₃	—	2	8	no	—
1289	C₂³×C₃	—	2	4	no	—
1290	C₂³×C₃	—	2	8	no	—
1291	C₂³×C₃	—	2	8	no	—
1292	C₂³×C₃	—	4	8	no	—
1293	C₂³×C₃	—	4	32	no	—
1294	C₂³×C₃	—	4	4	no	—
1295	C₂³×C₃	—	4	8	no	—
1296	C₂³×C₃	—	4	16	no	—
1297	C₂³×C₃	—	4	8	no	—
1298	C₂³×C₃	—	4	16	no	—
1299	C₂³×C₃	—	4	8	no	—
1300	C₂³×C₃	—	4	64	no	—
1301	C₂³×C₃	—	4	16	no	—
1302	C₂³×C₃	—	4	64	no	—
1303	C₂³×C₃	—	4	16	no	—
1304	C₂³×C₃	—	4	64	no	—
1305	C₂³×C₃	—	4	16	no	—
1306	C₂³×C₃	—	4	32	no	—
1307	C₂³×C₃	—	4	64	no	—
1308	C₂³×C₃	—	4	4	no	—
1309	C₂³×C₃	—	4	16	no	—
1310	C₂³×C₃	—	4	8	no	—
1311	C₂³×C₃	—	4	8	no	—
1312	C₂³×C₃	—	4	4	no	—
1313	C₂³×C₃	—	4	16	no	—
1314	C₂³×C₃	—	4	32	no	—
1315	C₂³×C₃	—	4	8	no	—
1316	C₂³×C₃	—	8	32	no	—
1317	C₂³×C₃	—	8	32	no	—
1318	C₂³×C₃	—	8	32	no	—
1319	C₂³×C₃	—	8	16	no	—
1320	C₂³×C₃	—	8	16	no	—
1321	C₂³×C₃	—	8	16	no	—
1322	C₂³×C₃	—	8	16	no	—
1323	C₂³×C₃	—	8	16	no	—
1324	C₂³×C₃	—	8	64	no	—
1325	C₂³×C₃	—	8	16	no	—
1326	C₂³×C₃	—	8	16	no	—
1327	C₂³×C₃	—	8	128	no	—
1328	C₂³×C₃	—	8	256	no	—
1329	C₂³×C₃	—	8	128	no	—
1330	C₂³×C₃	C₂×#120	1	32	yes	complemented
1331	C₂³×C₃	C₂³×D₄	1	8	yes	—
1332	C₂³×C₃	C₂³×D₄	1	16	yes	—
1333	C₂³×C₃	C₂³×D₄	1	2	yes	—
1334	C₂³×C₃	C₂³×D₄	1	4	yes	—
1335	C₂³×C₃	C₂³×D₄	1	8	yes	—
1336	C₂³×C₃	C₂³×D₄	1	16	yes	—
1337	C₂³×C₃	C₂³×D₄	1	2	yes	—
1338	C₂³×C₃	C₂³×D₄	1	2	yes	—
1339	C₂³×C₃	C₂×H(5,𝔽₂)	1	4	yes	—
1340	C₂³×C₃	C₂×H(5,𝔽₂)	1	4	yes	complemented
1341	C₂³×C₃	C₂⁶	1	1	yes	characteristic
1342	C₃×Q₈	—	2	32	no	—
1343	C₃×Q₈	—	2	32	no	—
1344	C₃×D₄	—	2	128	no	—
1345	C₃×D₄	—	2	64	no	—
1346	C₃×D₄	—	2	32	no	—
1347	C₃×D₄	—	2	16	no	—
1348	C₃×D₄	—	2	64	no	—
1349	C₃×D₄	—	2	64	no	—
1350	C₃×D₄	—	2	128	no	—
1351	C₃×D₄	—	2	16	no	—
1352	C₃×D₄	—	2	32	no	—
1353	C₃×D₄	—	2	32	no	—
1354	C₃×D₄	—	4	32	no	—
1355	C₃×D₄	—	4	32	no	—
1356	C₃×D₄	—	4	64	no	—
1357	C₃×D₄	—	4	16	no	—
1358	C₃×D₄	—	4	32	no	—
1359	C₃×D₄	—	4	16	no	—
1360	C₃×D₄	—	4	16	no	—
1361	C₃×D₄	—	8	64	no	—
1362	C₃×D₄	—	8	16	no	—
1363	C₃×D₄	C₂×#120	1	64	yes	complemented
1364	C₂×C₃×C₄	—	2	32	no	—
1365	C₂×C₃×C₄	—	2	64	no	—
1366	C₂×C₃×C₄	—	2	64	no	—
1367	C₂×C₃×C₄	—	2	8	no	—
1368	C₂×C₃×C₄	—	2	2	no	—
1369	C₂×C₃×C₄	—	2	8	no	—
1370	C₂×C₃×C₄	—	2	4	no	—
1371	C₂×C₃×C₄	—	2	8	no	—
1372	C₂×C₃×C₄	—	2	2	no	—
1373	C₂×C₃×C₄	—	2	8	no	—
1374	C₂×C₃×C₄	—	2	64	no	—
1375	C₂×C₃×C₄	—	2	16	no	—
1376	C₂×C₃×C₄	—	2	16	no	—
1377	C₂×C₃×C₄	—	2	64	no	—
1378	C₂×C₃×C₄	—	2	2	no	—
1379	C₂×C₃×C₄	—	2	16	no	—
1380	C₂×C₃×C₄	—	2	4	no	—
1381	C₂×C₃×C₄	—	2	2	no	—
1382	C₂×C₃×C₄	—	2	4	no	—
1383	C₂×C₃×C₄	—	2	16	no	—
1384	C₂×C₃×C₄	—	2	8	no	—
1385	C₂×C₃×C₄	—	2	16	no	—
1386	C₂×C₃×C₄	—	2	4	no	—
1387	C₂×C₃×C₄	—	4	32	no	—
1388	C₂×C₃×C₄	—	4	8	no	—
1389	C₂×C₃×C₄	—	4	4	no	—
1390	C₂×C₃×C₄	—	4	4	no	—
1391	C₂×C₃×C₄	—	4	16	no	—
1392	C₂×C₃×C₄	—	8	32	no	—
1393	C₂×C₃×C₄	C₂×#120	1	16	yes	complemented
1394	C₂×C₃×C₄	C₂³×D₄	1	4	yes	—
1395	C₂×C₃×C₄	C₂³×D₄	1	16	yes	—
1396	C₂×C₃×C₄	C₂³×D₄	1	4	yes	—
1397	C₂×C₃×C₄	C₂³×D₄	1	8	yes	—
1398	C₂×C₃×C₄	C₂×H(5,𝔽₂)	1	4	yes	complemented
1399	C₂⁴	—	2	128	no	—
1400	C₂⁴	—	2	2	no	—
1401	C₂⁴	—	2	16	no	—
1402	C₂⁴	—	2	4	no	—
1403	C₂⁴	—	2	16	no	—
1404	C₂⁴	—	2	8	no	—
1405	C₂⁴	—	2	16	no	—
1406	C₂⁴	—	2	4	no	—
1407	C₂⁴	—	2	4	no	—
1408	C₂⁴	—	2	16	no	—
1409	C₂⁴	—	2	32	no	—
1410	C₂⁴	—	2	8	no	—
1411	C₂⁴	—	2	16	no	—
1412	C₂⁴	—	2	16	no	—
1413	C₂⁴	—	2	16	no	—
1414	C₂⁴	—	2	64	no	—
1415	C₂⁴	—	2	4	no	—
1416	C₂⁴	—	2	4	no	—
1417	C₂⁴	—	2	16	no	—
1418	C₂⁴	—	2	16	no	—
1419	C₂⁴	—	2	32	no	—
1420	C₂⁴	—	2	16	no	—
1421	C₂⁴	—	2	8	no	—
1422	C₂⁴	—	4	4	no	—
1423	C₂⁴	—	4	4	no	—
1424	C₂⁴	—	4	8	no	—
1425	C₂⁴	—	4	2	no	—
1426	C₂⁴	—	4	2	no	—
1427	C₂⁴	—	4	8	no	—
1428	C₂⁴	—	4	16	no	—
1429	C₂⁴	—	4	8	no	—
1430	C₂⁴	—	4	32	no	—
1431	C₂⁴	—	4	8	no	—
1432	C₂⁴	—	4	8	no	—
1433	C₂⁴	—	4	4	no	—
1434	C₂⁴	—	4	4	no	—
1435	C₂⁴	—	4	16	no	—
1436	C₂⁴	—	4	16	no	—
1437	C₂⁴	—	4	4	no	—
1438	C₂⁴	—	4	4	no	—
1439	C₂⁴	—	4	16	no	—
1440	C₂⁴	—	4	16	no	—
1441	C₂⁴	—	4	32	no	—
1442	C₂⁴	—	4	32	no	—
1443	C₂⁴	—	8	32	no	—
1444	C₂⁴	—	8	16	no	—
1445	C₂⁴	—	8	64	no	—
1446	C₂⁴	—	8	64	no	—
1447	C₂⁴	—	8	128	no	—
1448	C₂⁴	—	8	32	no	—
1449	C₂⁴	—	8	16	no	—
1450	C₂⁴	C₂²×C₃×D₄	1	4	yes	—
1451	C₂⁴	C₂²×C₃×D₄	1	16	yes	—
1452	C₂⁴	C₂²×C₃×D₄	1	8	yes	—
1453	C₂⁴	C₂²×C₃×D₄	1	16	yes	—
1454	C₂⁴	C₂²×C₃×D₄	1	16	yes	—
1455	C₂⁴	C₂²×C₃×D₄	1	8	yes	—
1456	C₂⁴	C₂²×C₃×D₄	1	32	yes	complemented
1457	C₂⁴	C₂⁵×C₃	1	4	yes	—
1458	C₂⁴	C₂⁵×C₃	1	8	yes	—
1459	C₂⁴	C₂⁵×C₃	1	4	yes	—
1460	C₂⁴	C₂⁵×C₃	1	1	yes	characteristic
1461	C₂⁴	C₂⁵×C₃	1	2	yes	—
1462	C₂⁴	C₂⁵×C₃	1	1	yes	characteristic
1463	C₂⁴	C₂⁵×C₃	1	4	yes	—
1464	C₂⁴	C₂⁵×C₃	1	1	yes	characteristic
1465	#41	—	2	128	no	—
1466	#41	—	2	512	no	—
1467	#41	—	2	128	no	—
1468	#41	—	2	256	no	—
1469	#41	—	2	128	no	—
1470	#41	—	2	256	no	—
1471	#41	—	2	128	no	—
1472	C₂×Q₈	—	2	64	no	—
1473	C₂×Q₈	—	2	8	no	—
1474	C₂×Q₈	—	2	16	no	—
1475	C₂×Q₈	—	2	8	no	—
1476	C₂×Q₈	—	2	8	no	—
1477	C₂×Q₈	C₂²×C₃×D₄	1	16	yes	complemented
1478	C₂×D₄	—	2	128	no	—
1479	C₂×D₄	—	2	256	no	—
1480	C₂×D₄	—	2	64	no	—
1481	C₂×D₄	—	2	256	no	—
1482	C₂×D₄	—	2	512	no	—
1483	C₂×D₄	—	2	256	no	—
1484	C₂×D₄	—	2	256	no	—
1485	C₂×D₄	—	2	256	no	—
1486	C₂×D₄	—	2	32	no	—
1487	C₂×D₄	—	2	4	no	—
1488	C₂×D₄	—	2	4	no	—
1489	C₂×D₄	—	2	32	no	—
1490	C₂×D₄	—	2	16	no	—
1491	C₂×D₄	—	2	32	no	—
1492	C₂×D₄	—	2	16	no	—
1493	C₂×D₄	—	2	16	no	—
1494	C₂×D₄	—	2	16	no	—
1495	C₂×D₄	—	2	32	no	—
1496	C₂×D₄	—	2	16	no	—
1497	C₂×D₄	—	2	32	no	—
1498	C₂×D₄	—	2	32	no	—
1499	C₂×D₄	—	2	4	no	—
1500	C₂×D₄	—	2	4	no	—
1501	C₂×D₄	—	2	64	no	—
1502	C₂×D₄	—	2	256	no	—
1503	C₂×D₄	—	2	128	no	—
1504	C₂×D₄	—	2	128	no	—
1505	C₂×D₄	—	2	256	no	—
1506	C₂×D₄	—	2	32	no	—
1507	C₂×D₄	—	2	16	no	—
1508	C₂×D₄	—	2	8	no	—
1509	C₂×D₄	—	2	16	no	—
1510	C₂×D₄	—	2	8	no	—
1511	C₂×D₄	—	2	32	no	—
1512	C₂×D₄	—	2	16	no	—
1513	C₂×D₄	—	2	16	no	—
1514	C₂×D₄	—	2	32	no	—
1515	C₂×D₄	—	2	16	no	—
1516	C₂×D₄	—	2	16	no	—
1517	C₂×D₄	—	2	64	no	—
1518	C₂×D₄	—	2	8	no	—
1519	C₂×D₄	—	2	16	no	—
1520	C₂×D₄	—	2	32	no	—
1521	C₂×D₄	—	2	8	no	—
1522	C₂×D₄	—	2	16	no	—
1523	C₂×D₄	—	2	8	no	—
1524	C₂×D₄	—	2	16	no	—
1525	C₂×D₄	—	2	8	no	—
1526	C₂×D₄	—	2	4	no	—
1527	C₂×D₄	—	2	16	no	—
1528	C₂×D₄	—	2	32	no	—
1529	C₂×D₄	—	4	8	no	—
1530	C₂×D₄	—	4	8	no	—
1531	C₂×D₄	—	4	8	no	—
1532	C₂×D₄	—	4	16	no	—
1533	C₂×D₄	—	4	32	no	—
1534	C₂×D₄	—	4	32	no	—
1535	C₂×D₄	—	4	32	no	—
1536	C₂×D₄	—	4	16	no	—
1537	C₂×D₄	—	4	128	no	—
1538	C₂×D₄	—	4	128	no	—
1539	C₂×D₄	—	4	32	no	—
1540	C₂×D₄	—	4	32	no	—
1541	C₂×D₄	—	4	32	no	—
1542	C₂×D₄	—	4	128	no	—
1543	C₂×D₄	—	4	16	no	—
1544	C₂×D₄	—	8	16	no	—
1545	C₂×D₄	—	8	128	no	—
1546	C₂×D₄	C₃×#120	1	64	yes	complemented
1547	C₂×D₄	C₂²×C₃×D₄	1	32	yes	—
1548	C₂×D₄	C₂²×C₃×D₄	1	32	yes	—
1549	C₂×D₄	C₂²×C₃×D₄	1	16	yes	—
1550	C₂×D₄	C₂²×C₃×D₄	1	32	yes	—
1551	C₂×D₄	C₂²×C₃×D₄	1	16	yes	—
1552	C₂×D₄	C₂²×C₃×D₄	1	64	yes	complemented
1553	C₂×D₄	C₂²×C₃×D₄	1	16	yes	complemented
1554	C₂×D₄	C₃×H(5,𝔽₂)	1	8	yes	complemented
1555	C₂²×C₄	—	2	128	no	—
1556	C₂²×C₄	—	2	128	no	—
1557	C₂²×C₄	—	2	2	no	—
1558	C₂²×C₄	—	2	8	no	—
1559	C₂²×C₄	—	2	16	no	—
1560	C₂²×C₄	—	2	16	no	—
1561	C₂²×C₄	—	2	4	no	—
1562	C₂²×C₄	—	2	16	no	—
1563	C₂²×C₄	—	2	16	no	—
1564	C₂²×C₄	—	2	16	no	—
1565	C₂²×C₄	—	2	8	no	—
1566	C₂²×C₄	—	2	16	no	—
1567	C₂²×C₄	—	2	32	no	—
1568	C₂²×C₄	—	2	16	no	—
1569	C₂²×C₄	—	2	8	no	—
1570	C₂²×C₄	—	2	16	no	—
1571	C₂²×C₄	—	2	16	no	—
1572	C₂²×C₄	—	2	4	no	—
1573	C₂²×C₄	—	2	32	no	—
1574	C₂²×C₄	—	2	2	no	—
1575	C₂²×C₄	—	2	4	no	—
1576	C₂²×C₄	—	2	2	no	—
1577	C₂²×C₄	—	2	16	no	—
1578	C₂²×C₄	—	2	4	no	—
1579	C₂²×C₄	—	2	32	no	—
1580	C₂²×C₄	—	2	8	no	—
1581	C₂²×C₄	—	2	16	no	—
1582	C₂²×C₄	—	2	16	no	—
1583	C₂²×C₄	—	4	8	no	—
1584	C₂²×C₄	—	4	4	no	—
1585	C₂²×C₄	—	4	2	no	—
1586	C₂²×C₄	—	4	16	no	—
1587	C₂²×C₄	—	4	16	no	—
1588	C₂²×C₄	—	4	32	no	—
1589	C₂²×C₄	—	4	16	no	—
1590	C₂²×C₄	C₂²×C₃×D₄	1	4	yes	—
1591	C₂²×C₄	C₂²×C₃×D₄	1	8	yes	—
1592	C₂²×C₄	C₂²×C₃×D₄	1	8	yes	—
1593	C₂²×C₄	C₂²×C₃×D₄	1	4	yes	—
1594	C₂²×C₄	C₂²×C₃×D₄	1	8	yes	—
1595	C₂²×C₄	C₂²×C₃×D₄	1	32	yes	complemented
1596	C₂²×C₄	C₂²×C₃×D₄	1	32	yes	complemented
1597	C₂²×C₄	C₂⁵×C₃	1	2	yes	—
1598	C₂²×C₄	C₂⁵×C₃	1	4	yes	—
1599	C₂²×C₄	C₂⁵×C₃	1	16	yes	—
1600	C₂²×C₄	C₂⁵×C₃	1	2	yes	—
1601	C₂²×C₄	C₂⁵×C₃	1	2	yes	—
1602	C₂²×C₄	C₂⁵×C₃	1	8	yes	—
1603	C₂²×C₄	C₂⁵×C₃	1	2	yes	—
1604	C₂²×C₄	C₂⁵×C₃	1	2	yes	—
1605	C₄⋊C₄	—	2	8	no	—
1606	C₄⋊C₄	—	2	8	no	—
1607	C₄⋊C₄	—	2	16	no	—
1608	C₄⋊C₄	—	2	32	no	—
1609	C₂²⋊C₄	—	2	16	no	—
1610	C₂²⋊C₄	—	2	4	no	—
1611	C₂²⋊C₄	—	2	16	no	—
1612	C₂²⋊C₄	—	2	4	no	—
1613	C₂²⋊C₄	—	2	32	no	—
1614	C₂²⋊C₄	—	2	16	no	—
1615	C₂²⋊C₄	—	2	32	no	—
1616	C₂²⋊C₄	—	2	16	no	—
1617	C₂²⋊C₄	—	2	32	no	—
1618	C₂²⋊C₄	—	2	8	no	—
1619	C₂²⋊C₄	—	2	16	no	—
1620	C₂²⋊C₄	—	2	64	no	—
1621	C₂²⋊C₄	—	2	32	no	—
1622	C₂²⋊C₄	—	4	16	no	—
1623	C₂²⋊C₄	—	4	32	no	—
1624	C₂²⋊C₄	—	4	8	no	—
1625	C₂²⋊C₄	—	4	16	no	—
1626	C₂²⋊C₄	—	4	16	no	—
1627	C₄²	—	2	8	no	—
1628	C₄²	—	2	16	no	—
1629	C₂²×C₃	—	2	32	no	—
1630	C₂²×C₃	—	2	8	no	—
1631	C₂²×C₃	—	2	8	no	—
1632	C₂²×C₃	—	2	2	no	—
1633	C₂²×C₃	—	2	8	no	—
1634	C₂²×C₃	—	2	2	no	—
1635	C₂²×C₃	—	2	2	no	—
1636	C₂²×C₃	—	2	8	no	—
1637	C₂²×C₃	—	2	2	no	—
1638	C₂²×C₃	—	2	8	no	—
1639	C₂²×C₃	—	2	32	no	—
1640	C₂²×C₃	—	2	2	no	—
1641	C₂²×C₃	—	2	4	no	—
1642	C₂²×C₃	—	2	8	no	—
1643	C₂²×C₃	—	2	8	no	—
1644	C₂²×C₃	—	2	2	no	—
1645	C₂²×C₃	—	2	8	no	—
1646	C₂²×C₃	—	2	16	no	—
1647	C₂²×C₃	—	2	2	no	—
1648	C₂²×C₃	—	4	32	no	—
1649	C₂²×C₃	—	4	16	no	—
1650	C₂²×C₃	—	4	64	no	—
1651	C₂²×C₃	—	4	64	no	—
1652	C₂²×C₃	—	4	16	no	—
1653	C₂²×C₃	—	4	4	no	—
1654	C₂²×C₃	—	4	16	no	—
1655	C₂²×C₃	—	4	16	no	—
1656	C₂²×C₃	—	4	4	no	—
1657	C₂²×C₃	—	4	8	no	—
1658	C₂²×C₃	—	4	2	no	—
1659	C₂²×C₃	—	4	8	no	—
1660	C₂²×C₃	—	4	2	no	—
1661	C₂²×C₃	—	4	16	no	—
1662	C₂²×C₃	—	4	4	no	—
1663	C₂²×C₃	—	4	4	no	—
1664	C₂²×C₃	—	4	4	no	—
1665	C₂²×C₃	—	8	16	no	—
1666	C₂²×C₃	—	8	32	no	—
1667	C₂²×C₃	—	8	64	no	—
1668	C₂²×C₃	—	8	64	no	—
1669	C₂²×C₃	—	8	16	no	—
1670	C₂²×C₃	—	8	64	no	—
1671	C₂²×C₃	C₂²×#120	1	16	yes	—
1672	C₂²×C₃	C₂²×#120	1	4	yes	—
1673	C₂²×C₃	#3484	1	4	yes	complemented
1674	C₂²×C₃	C₂⁴×D₄	1	2	yes	—
1675	C₂²×C₃	C₂⁴×D₄	1	1	yes	characteristic
1676	C₂²×C₃	C₂²×H(5,𝔽₂)	1	2	yes	—
1677	C₂²×C₃	H(7,𝔽₂)	1	2	yes	—
1678	C₃×C₄	—	2	4	no	—
1679	C₃×C₄	—	2	16	no	—
1680	C₃×C₄	—	2	4	no	—
1681	C₃×C₄	—	4	16	no	—
1682	C₃×C₄	—	4	4	no	—
1683	C₃×C₄	—	4	2	no	—
1684	C₃×C₄	—	4	2	no	—
1685	C₃×C₄	C₂²×#120	1	8	yes	—
1686	C₂³	—	2	2	no	—
1687	C₂³	—	2	8	no	—
1688	C₂³	—	2	2	no	—
1689	C₂³	—	2	8	no	—
1690	C₂³	—	2	2	no	—
1691	C₂³	—	2	2	no	—
1692	C₂³	—	2	32	no	—
1693	C₂³	—	2	8	no	—
1694	C₂³	—	2	64	no	—
1695	C₂³	—	2	32	no	—
1696	C₂³	—	2	8	no	—
1697	C₂³	—	2	4	no	—
1698	C₂³	—	2	2	no	—
1699	C₂³	—	2	8	no	—
1700	C₂³	—	2	8	no	—
1701	C₂³	—	2	8	no	—
1702	C₂³	—	2	2	no	—
1703	C₂³	—	2	16	no	—
1704	C₂³	—	2	8	no	—
1705	C₂³	—	2	2	no	—
1706	C₂³	—	2	2	no	—
1707	C₂³	—	2	2	no	—
1708	C₂³	—	2	8	no	—
1709	C₂³	—	2	16	no	—
1710	C₂³	—	2	4	no	—
1711	C₂³	—	2	8	no	—
1712	C₂³	—	2	32	no	—
1713	C₂³	—	2	32	no	—
1714	C₂³	—	2	16	no	—
1715	C₂³	—	2	64	no	—
1716	C₂³	—	2	8	no	—
1717	C₂³	—	2	4	no	—
1718	C₂³	—	2	8	no	—
1719	C₂³	—	2	8	no	—
1720	C₂³	—	4	8	no	—
1721	C₂³	—	4	4	no	—
1722	C₂³	—	4	8	no	—
1723	C₂³	—	4	16	no	—
1724	C₂³	—	4	32	no	—
1725	C₂³	—	4	8	no	—
1726	C₂³	—	4	16	no	—
1727	C₂³	—	4	8	no	—
1728	C₂³	—	4	64	no	—
1729	C₂³	—	4	16	no	—
1730	C₂³	—	4	64	no	—
1731	C₂³	—	4	16	no	—
1732	C₂³	—	4	64	no	—
1733	C₂³	—	4	16	no	—
1734	C₂³	—	4	32	no	—
1735	C₂³	—	4	64	no	—
1736	C₂³	—	4	4	no	—
1737	C₂³	—	4	16	no	—
1738	C₂³	—	4	8	no	—
1739	C₂³	—	4	8	no	—
1740	C₂³	—	4	4	no	—
1741	C₂³	—	4	16	no	—
1742	C₂³	—	4	32	no	—
1743	C₂³	—	4	8	no	—
1744	C₂³	—	8	16	no	—
1745	C₂³	—	8	16	no	—
1746	C₂³	—	8	16	no	—
1747	C₂³	—	8	32	no	—
1748	C₂³	—	8	32	no	—
1749	C₂³	—	8	32	no	—
1750	C₂³	—	8	16	no	—
1751	C₂³	—	8	16	no	—
1752	C₂³	—	8	16	no	—
1753	C₂³	—	8	16	no	—
1754	C₂³	—	8	64	no	—
1755	C₂³	—	8	128	no	—
1756	C₂³	—	8	256	no	—
1757	C₂³	—	8	128	no	—
1758	C₂³	C₂×C₃×#120	1	32	yes	complemented
1759	C₂³	C₂³×C₃×D₄	1	8	yes	—
1760	C₂³	C₂³×C₃×D₄	1	16	yes	—
1761	C₂³	C₂³×C₃×D₄	1	2	yes	—
1762	C₂³	C₂³×C₃×D₄	1	4	yes	—
1763	C₂³	C₂³×C₃×D₄	1	8	yes	—
1764	C₂³	C₂³×C₃×D₄	1	16	yes	—
1765	C₂³	C₂³×C₃×D₄	1	2	yes	—
1766	C₂³	C₂³×C₃×D₄	1	2	yes	—
1767	C₂³	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1768	C₂³	C₂×C₃×H(5,𝔽₂)	1	4	yes	complemented
1769	C₂³	C₂⁶×C₃	1	1	yes	characteristic
1770	Q₈	—	2	32	no	—
1771	Q₈	—	2	32	no	—
1772	D₄	—	2	128	no	—
1773	D₄	—	2	64	no	—
1774	D₄	—	2	32	no	—
1775	D₄	—	2	16	no	—
1776	D₄	—	2	64	no	—
1777	D₄	—	2	64	no	—
1778	D₄	—	2	128	no	—
1779	D₄	—	2	16	no	—
1780	D₄	—	2	32	no	—
1781	D₄	—	2	32	no	—
1782	D₄	—	4	32	no	—
1783	D₄	—	4	32	no	—
1784	D₄	—	4	64	no	—
1785	D₄	—	4	16	no	—
1786	D₄	—	4	32	no	—
1787	D₄	—	4	16	no	—
1788	D₄	—	4	16	no	—
1789	D₄	—	8	16	no	—
1790	D₄	—	8	64	no	—
1791	D₄	C₂×C₃×#120	1	64	yes	complemented
1792	C₂×C₄	—	2	32	no	—
1793	C₂×C₄	—	2	64	no	—
1794	C₂×C₄	—	2	64	no	—
1795	C₂×C₄	—	2	8	no	—
1796	C₂×C₄	—	2	8	no	—
1797	C₂×C₄	—	2	64	no	—
1798	C₂×C₄	—	2	2	no	—
1799	C₂×C₄	—	2	8	no	—
1800	C₂×C₄	—	2	8	no	—
1801	C₂×C₄	—	2	4	no	—
1802	C₂×C₄	—	2	2	no	—
1803	C₂×C₄	—	2	16	no	—
1804	C₂×C₄	—	2	16	no	—
1805	C₂×C₄	—	2	64	no	—
1806	C₂×C₄	—	2	2	no	—
1807	C₂×C₄	—	2	16	no	—
1808	C₂×C₄	—	2	4	no	—
1809	C₂×C₄	—	2	2	no	—
1810	C₂×C₄	—	2	4	no	—
1811	C₂×C₄	—	2	16	no	—
1812	C₂×C₄	—	2	8	no	—
1813	C₂×C₄	—	2	16	no	—
1814	C₂×C₄	—	2	4	no	—
1815	C₂×C₄	—	4	32	no	—
1816	C₂×C₄	—	4	8	no	—
1817	C₂×C₄	—	4	4	no	—
1818	C₂×C₄	—	4	4	no	—
1819	C₂×C₄	—	4	16	no	—
1820	C₂×C₄	—	8	32	no	—
1821	C₂×C₄	C₂×C₃×#120	1	16	yes	complemented
1822	C₂×C₄	C₂³×C₃×D₄	1	4	yes	—
1823	C₂×C₄	C₂³×C₃×D₄	1	16	yes	—
1824	C₂×C₄	C₂³×C₃×D₄	1	4	yes	—
1825	C₂×C₄	C₂³×C₃×D₄	1	8	yes	—
1826	C₂×C₄	C₂×C₃×H(5,𝔽₂)	1	4	yes	complemented
1827	C₂×C₃	—	2	4	no	—
1828	C₂×C₃	—	2	4	no	—
1829	C₂×C₃	—	2	16	no	—
1830	C₂×C₃	—	4	4	no	—
1831	C₂×C₃	—	4	16	no	—
1832	C₂×C₃	—	4	2	no	—
1833	C₂×C₃	—	4	8	no	—
1834	C₂×C₃	—	8	4	no	—
1835	C₂×C₃	C₂³×#120	1	1	yes	characteristic
1836	C₂×C₃	C₂×#3484	1	1	yes	characteristic
1837	C₂×C₃	#62842	1	1	yes	characteristic
1838	C₂×C₃	D₄×H(5,𝔽₂)	1	4	yes	—
1839	C₂²	—	2	2	no	—
1840	C₂²	—	2	8	no	—
1841	C₂²	—	2	2	no	—
1842	C₂²	—	2	2	no	—
1843	C₂²	—	2	8	no	—
1844	C₂²	—	2	2	no	—
1845	C₂²	—	2	32	no	—
1846	C₂²	—	2	8	no	—
1847	C₂²	—	2	8	no	—
1848	C₂²	—	2	2	no	—
1849	C₂²	—	2	4	no	—
1850	C₂²	—	2	8	no	—
1851	C₂²	—	2	8	no	—
1852	C₂²	—	2	2	no	—
1853	C₂²	—	2	8	no	—
1854	C₂²	—	2	16	no	—
1855	C₂²	—	2	2	no	—
1856	C₂²	—	2	8	no	—
1857	C₂²	—	2	32	no	—
1858	C₂²	—	4	32	no	—
1859	C₂²	—	4	16	no	—
1860	C₂²	—	4	64	no	—
1861	C₂²	—	4	64	no	—
1862	C₂²	—	4	16	no	—
1863	C₂²	—	4	8	no	—
1864	C₂²	—	4	2	no	—
1865	C₂²	—	4	8	no	—
1866	C₂²	—	4	2	no	—
1867	C₂²	—	4	4	no	—
1868	C₂²	—	4	16	no	—
1869	C₂²	—	4	16	no	—
1870	C₂²	—	4	4	no	—
1871	C₂²	—	4	4	no	—
1872	C₂²	—	4	4	no	—
1873	C₂²	—	4	4	no	—
1874	C₂²	—	4	16	no	—
1875	C₂²	—	8	16	no	—
1876	C₂²	—	8	32	no	—
1877	C₂²	—	8	64	no	—
1878	C₂²	—	8	64	no	—
1879	C₂²	—	8	16	no	—
1880	C₂²	—	8	64	no	—
1881	C₂²	C₂²×C₃×#120	1	16	yes	—
1882	C₂²	C₂²×C₃×#120	1	4	yes	—
1883	C₂²	C₃×#3484	1	4	yes	complemented
1884	C₂²	C₂⁴×C₃×D₄	1	1	yes	characteristic
1885	C₂²	C₂⁴×C₃×D₄	1	2	yes	—
1886	C₂²	C₂²×C₃×H(5,𝔽₂)	1	2	yes	—
1887	C₂²	C₃×H(7,𝔽₂)	1	2	yes	—
1888	C₄	—	2	4	no	—
1889	C₄	—	2	16	no	—
1890	C₄	—	2	4	no	—
1891	C₄	—	4	4	no	—
1892	C₄	—	4	2	no	—
1893	C₄	—	4	2	no	—
1894	C₄	—	4	16	no	—
1895	C₄	C₂²×C₃×#120	1	8	yes	—
1896	C₃	#7631286	1	1	yes	characteristic, direct product factor, Sylow
1897	C₂	—	2	4	no	—
1898	C₂	—	2	4	no	—
1899	C₂	—	2	16	no	—
1900	C₂	—	4	2	no	—
1901	C₂	—	4	4	no	—
1902	C₂	—	4	8	no	—
1903	C₂	—	4	16	no	—
1904	C₂	—	8	4	no	—
1905	C₂	C₂³×C₃×#120	1	1	yes	characteristic
1906	C₂	C₂×C₃×#3484	1	1	yes	characteristic
1907	C₂	C₃×#62842	1	1	yes	characteristic
1908	C₂	C₃×D₄×H(5,𝔽₂)	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁶
commutator, Frattini, cosocle	C₂³	C₂⁶×C₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂³×C₃×H(5,𝔽₂)	C₂	semidirect
2. C₂×C₃×#3484	C₂	semidirect
3. C₂²×C₃×D₄²	C₂	semidirect
4. C₃×#36212	C₂	semidirect
5. C₃×D₄×#120	C₂	semidirect
6. C₃×#35680	C₂	semidirect
7. C₃×#35527	C₂	semidirect
8. C₃×#35512	C₂	semidirect
9. C₃×#35347	C₂	semidirect
10. C₃×#35346	C₂	semidirect
11. C₃×#35250	C₂	semidirect
12. C₃×#34980	C₂	semidirect
13. C₃×#34736	C₂	semidirect
14. C₂×C₃×#2403	C₂	semidirect
15. C₃×#34256	C₂	semidirect
16. C₃×#34171	C₂	semidirect
17. #7631286	C₃	direct (N × H)
21. C₂²×C₃×H(5,𝔽₂)	C₂²	semidirect
22. C₂²×C₃×H(5,𝔽₂)	C₂²	semidirect
23. C₂²×C₃×H(5,𝔽₂)	C₂²	semidirect
24. C₂³×C₃×#41	C₂²	semidirect
25. C₂³×C₃×#41	C₂²	semidirect
27. C₂⁴×C₃×D₄	C₂²	semidirect
28. C₂⁴×C₃×D₄	C₂²	semidirect
29. C₂⁴×C₃×D₄	C₂²	semidirect
30. C₂⁴×C₃×D₄	C₂²	semidirect
32. C₂×C₃×#546	C₂²	semidirect
34. C₂×C₃×D₄²	C₂²	semidirect
35. C₂×C₃×D₄²	C₂²	semidirect
36. C₂×C₃×D₄²	C₂²	semidirect
37. C₂×C₃×#535	C₂²	semidirect
38. C₂×C₃×#534	C₂²	semidirect
39. C₂²×C₃×#127	C₂²	semidirect
40. C₂×C₃×#525	C₂²	semidirect
41. C₂²×C₃×#121	C₂²	semidirect
42. C₂²×C₃×#121	C₂²	semidirect
43. C₂²×C₃×#121	C₂²	semidirect
44. C₂²×C₃×#120	C₂²	semidirect
45. C₂²×C₃×#120	C₂²	semidirect
46. C₂²×C₃×#120	C₂²	semidirect
47. C₂²×C₃×#120	C₂²	semidirect
48. C₂×C₃×#518	C₂²	semidirect
49. C₂²×C₃×C₄×D₄	C₂²	semidirect
50. C₂²×C₃×C₄×D₄	C₂²	semidirect
51. C₃×#2849	C₂²	semidirect
52. C₃×#2847	C₂²	semidirect
53. C₃×#2846	C₂²	semidirect
54. C₃×#2615	C₂²	semidirect
55. C₃×#2613	C₂²	semidirect
56. C₃×#2436	C₂²	semidirect
57. C₃×#2433	C₂²	semidirect
58. C₃×#2433	C₂²	semidirect
59. C₃×#2431	C₂²	semidirect
60. C₃×#2431	C₂²	semidirect
61. C₃×#2430	C₂²	semidirect
62. C₃×#2410	C₂²	semidirect
63. C₃×#2410	C₂²	semidirect
64. C₃×#2410	C₂²	semidirect
65. C₃×#2409	C₂²	semidirect
66. C₃×#2408	C₂²	semidirect
67. C₃×#2408	C₂²	semidirect
68. C₃×#2407	C₂²	semidirect
69. C₃×#2407	C₂²	semidirect
70. C₃×#2406	C₂²	semidirect
71. C₃×#2405	C₂²	semidirect
72. C₃×#2405	C₂²	semidirect
73. C₃×#2404	C₂²	semidirect
74. C₃×#2404	C₂²	semidirect
75. C₃×#2404	C₂²	semidirect
76. C₃×#2403	C₂²	semidirect
77. C₃×#2403	C₂²	semidirect
78. C₃×#2403	C₂²	semidirect
79. C₃×#2403	C₂²	semidirect
80. C₃×#2403	C₂²	semidirect
81. C₃×#2403	C₂²	semidirect
82. C₃×#2403	C₂²	semidirect
83. C₃×#2403	C₂²	semidirect
84. C₃×#2388	C₂²	semidirect
85. C₂×C₃×#392	C₂²	semidirect
86. C₃×#2339	C₂²	semidirect
87. C₃×D₄×C₂²⋊C₄	C₂²	semidirect
88. C₃×D₄×C₂²⋊C₄	C₂²	semidirect
89. C₃×D₄×C₂²⋊C₄	C₂²	semidirect
90. C₃×#2311	C₂²	semidirect
91. C₃×#2309	C₂²	semidirect
92. C₃×#2308	C₂²	semidirect
93. C₃×#2308	C₂²	semidirect
94. C₃×C₄×#120	C₂²	semidirect
95. C₃×#2297	C₂²	semidirect
96. C₂×C₃×#386	C₂²	semidirect
97. C₂×C₃×#386	C₂²	semidirect
98. C₃×#2280	C₂²	semidirect
99. C₂×C₃×#379	C₂²	semidirect
100. C₂³×H(5,𝔽₂)	C₂×C₃	semidirect
101. C₂×#3484	C₂×C₃	semidirect
102. C₂²×D₄²	C₂×C₃	semidirect
103. #36212	C₂×C₃	semidirect
104. D₄×#120	C₂×C₃	semidirect
105. #35680	C₂×C₃	semidirect
106. #35527	C₂×C₃	semidirect
107. #35512	C₂×C₃	semidirect
108. #35347	C₂×C₃	semidirect
109. #35346	C₂×C₃	semidirect
110. #35250	C₂×C₃	semidirect
111. #34980	C₂×C₃	semidirect
112. #34736	C₂×C₃	semidirect
113. C₂×#2403	C₂×C₃	semidirect
114. #34256	C₂×C₃	semidirect
115. #34171	C₂×C₃	semidirect
117. C₂⁶×C₃	C₂³	semidirect
118. C₂⁶×C₃	C₂³	semidirect
129. C₂×C₃×H(5,𝔽₂)	D₄	semidirect
137. C₂²×C₃×#41	C₂³	semidirect
138. C₂²×C₃×#41	C₂³	semidirect
139. C₂²×C₃×#41	C₂³	semidirect
140. C₂²×C₃×#41	C₂³	semidirect
141. C₂³×C₃×Q₈	C₂³	semidirect
151. C₂³×C₃×D₄	D₄	semidirect
164. C₂³×C₃×D₄	C₂³	semidirect
165. C₂³×C₃×D₄	C₂³	semidirect
166. C₂³×C₃×D₄	C₂³	semidirect
167. C₂³×C₃×D₄	C₂³	semidirect
168. C₂³×C₃×D₄	C₂³	semidirect
169. C₂³×C₃×D₄	C₂³	semidirect
170. C₂³×C₃×D₄	C₂³	semidirect
171. C₂³×C₃×D₄	C₂³	semidirect
172. C₂³×C₃×D₄	C₂³	semidirect
173. C₂³×C₃×D₄	C₂³	semidirect
174. C₂³×C₃×D₄	C₂³	semidirect
175. C₂³×C₃×D₄	C₂³	semidirect
176. C₂³×C₃×D₄	C₂³	semidirect
177. C₂³×C₃×D₄	C₂³	semidirect
179. C₂⁴×C₃×C₄	C₂³	semidirect
180. C₂⁴×C₃×C₄	C₂³	semidirect
181. C₂⁴×C₃×C₄	C₂³	semidirect
182. C₂⁴×C₃×C₄	C₂³	semidirect
190. C₂×C₃×#127	C₂³	semidirect
191. C₂×C₃×#127	C₂³	semidirect
192. C₂×C₃×#124	C₂³	semidirect
194. C₂×C₃×#123	C₂³	semidirect
195. C₂×C₃×#123	C₂³	semidirect
196. C₂×C₃×C₂²⋊Q₈	C₂³	semidirect
201. C₂×C₃×#121	C₂³	semidirect
202. C₂×C₃×#121	C₂³	semidirect
203. C₂×C₃×#121	C₂³	semidirect
204. C₂×C₃×#121	C₂³	semidirect
205. C₂×C₃×#121	C₂³	semidirect
206. C₂×C₃×#121	C₂³	semidirect
213. C₂×C₃×#120	C₂³	semidirect
214. C₂×C₃×#120	C₂³	semidirect
215. C₂×C₃×#120	C₂³	semidirect
216. C₂×C₃×#120	C₂³	semidirect
217. C₂×C₃×#120	C₂³	semidirect
218. C₂×C₃×#120	C₂³	semidirect
219. C₂×C₃×#120	C₂³	semidirect
220. C₂×C₃×#120	C₂³	semidirect
221. C₂×C₃×#120	C₂³	semidirect
222. C₂×C₃×#120	C₂³	semidirect
227. C₂×C₃×C₄×D₄	C₂³	semidirect
228. C₂×C₃×C₄×D₄	C₂³	semidirect
229. C₂×C₃×C₄×D₄	C₂³	semidirect
230. C₂×C₃×C₄×D₄	C₂³	semidirect
231. C₂×C₃×#117	C₂³	semidirect
232. C₂²×C₃×C₄⋊C₄	C₂³	semidirect
233. C₂²×C₃×C₄⋊C₄	C₂³	semidirect
235. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
236. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
237. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
238. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
239. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
240. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
241. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
242. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
243. C₂²×C₃×C₂²⋊C₄	C₂³	semidirect
244. C₂²×C₃×C₄²	C₂³	semidirect
245. C₃×#395	C₂³	semidirect
246. C₃×#394	C₂³	semidirect
247. C₃×#394	C₂³	semidirect
248. C₃×#394	C₂³	semidirect
249. C₃×#393	C₂³	semidirect
250. C₃×#393	C₂³	semidirect
251. C₃×#392	C₂³	semidirect
252. C₃×#392	C₂³	semidirect
253. C₃×#392	C₂³	semidirect
254. C₃×#392	C₂³	semidirect
255. C₃×#392	C₂³	semidirect
256. C₃×#392	C₂³	semidirect
257. C₃×#392	C₂³	semidirect
258. C₃×#391	C₂³	semidirect
259. C₃×#391	C₂³	semidirect
260. C₃×#390	C₂³	semidirect
261. C₃×#390	C₂³	semidirect
262. C₃×#390	C₂³	semidirect
264. C₃×#386	C₂³	semidirect
265. C₃×#386	C₂³	semidirect
266. C₃×#386	C₂³	semidirect
267. C₃×#386	C₂³	semidirect
268. C₃×#386	C₂³	semidirect
269. C₃×#386	C₂³	semidirect
270. C₃×#386	C₂³	semidirect
271. C₃×#386	C₂³	semidirect
272. C₃×#386	C₂³	semidirect
273. C₃×#386	C₂³	semidirect
274. C₃×#386	C₂³	semidirect
275. C₃×#386	C₂³	semidirect
276. C₃×#385	C₂³	semidirect
277. C₃×#385	C₂³	semidirect
278. C₃×#385	C₂³	semidirect
279. C₃×#381	C₂³	semidirect
280. C₃×#381	C₂³	semidirect
281. C₃×#380	C₂³	semidirect
282. C₃×#380	C₂³	semidirect
283. C₃×#380	C₂³	semidirect
285. C₃×#379	C₂³	semidirect
286. C₃×#379	C₂³	semidirect
287. C₃×#379	C₂³	semidirect
288. C₃×#379	C₂³	semidirect
289. C₃×#379	C₂³	semidirect
290. C₃×#379	C₂³	semidirect
291. C₃×C₄×C₂²⋊C₄	C₂³	semidirect
292. C₃×C₄×C₂²⋊C₄	C₂³	semidirect
293. C₃×C₄×C₂²⋊C₄	C₂³	semidirect
294. C₂×C₃×#95	C₂³	semidirect
298. C₂²×H(5,𝔽₂)	C₂²×C₃	semidirect
299. C₂²×H(5,𝔽₂)	C₂²×C₃	semidirect
300. C₂²×H(5,𝔽₂)	C₂²×C₃	semidirect
301. C₂³×#41	C₂²×C₃	semidirect
302. C₂³×#41	C₂²×C₃	semidirect
304. C₂⁴×D₄	C₂²×C₃	semidirect
305. C₂⁴×D₄	C₂²×C₃	semidirect
306. C₂⁴×D₄	C₂²×C₃	semidirect
307. C₂⁴×D₄	C₂²×C₃	semidirect
309. C₂×#546	C₂²×C₃	semidirect
311. C₂×D₄²	C₂²×C₃	semidirect
312. C₂×D₄²	C₂²×C₃	semidirect
313. C₂×D₄²	C₂²×C₃	semidirect
314. C₂×#535	C₂²×C₃	semidirect
315. C₂×#534	C₂²×C₃	semidirect
316. C₂²×#127	C₂²×C₃	semidirect
317. C₂×#525	C₂²×C₃	semidirect
318. C₂²×#121	C₂²×C₃	semidirect
319. C₂²×#121	C₂²×C₃	semidirect
320. C₂²×#121	C₂²×C₃	semidirect
321. C₂²×#120	C₂²×C₃	semidirect
322. C₂²×#120	C₂²×C₃	semidirect
323. C₂²×#120	C₂²×C₃	semidirect
324. C₂²×#120	C₂²×C₃	semidirect
325. C₂×#518	C₂²×C₃	semidirect
326. C₂²×C₄×D₄	C₂²×C₃	semidirect
327. C₂²×C₄×D₄	C₂²×C₃	semidirect
328. #2849	C₂²×C₃	semidirect
329. #2847	C₂²×C₃	semidirect
330. #2846	C₂²×C₃	semidirect
331. #2615	C₂²×C₃	semidirect
332. #2613	C₂²×C₃	semidirect
333. #2436	C₂²×C₃	semidirect
334. #2433	C₂²×C₃	semidirect
335. #2433	C₂²×C₃	semidirect
336. #2431	C₂²×C₃	semidirect
337. #2431	C₂²×C₃	semidirect
338. #2430	C₂²×C₃	semidirect
339. #2410	C₂²×C₃	semidirect
340. #2410	C₂²×C₃	semidirect
341. #2410	C₂²×C₃	semidirect
342. #2409	C₂²×C₃	semidirect
343. #2408	C₂²×C₃	semidirect
344. #2408	C₂²×C₃	semidirect
345. #2407	C₂²×C₃	semidirect
346. #2407	C₂²×C₃	semidirect
347. #2406	C₂²×C₃	semidirect
348. #2405	C₂²×C₃	semidirect
349. #2405	C₂²×C₃	semidirect
350. #2404	C₂²×C₃	semidirect
351. #2404	C₂²×C₃	semidirect
352. #2404	C₂²×C₃	semidirect
353. #2403	C₂²×C₃	semidirect
354. #2403	C₂²×C₃	semidirect
355. #2403	C₂²×C₃	semidirect
356. #2403	C₂²×C₃	semidirect
357. #2403	C₂²×C₃	semidirect
358. #2403	C₂²×C₃	semidirect
359. #2403	C₂²×C₃	semidirect
360. #2403	C₂²×C₃	semidirect
361. #2388	C₂²×C₃	semidirect
362. C₂×#392	C₂²×C₃	semidirect
363. #2339	C₂²×C₃	semidirect
364. D₄×C₂²⋊C₄	C₂²×C₃	semidirect
365. D₄×C₂²⋊C₄	C₂²×C₃	semidirect
366. D₄×C₂²⋊C₄	C₂²×C₃	semidirect
367. #2311	C₂²×C₃	semidirect
368. #2309	C₂²×C₃	semidirect
369. #2308	C₂²×C₃	semidirect
370. #2308	C₂²×C₃	semidirect
371. C₄×#120	C₂²×C₃	semidirect
372. #2297	C₂²×C₃	semidirect
373. C₂×#386	C₂²×C₃	semidirect
374. C₂×#386	C₂²×C₃	semidirect
375. #2280	C₂²×C₃	semidirect
376. C₂×#379	C₂²×C₃	semidirect
388. C₂⁵×C₃	C₂×D₄	semidirect
423. C₂×C₃×#41	C₂×D₄	semidirect
424. C₂×C₃×#41	C₂×D₄	semidirect
488. C₂²×C₃×D₄	C₂×D₄	semidirect
489. C₂²×C₃×D₄	C₂×D₄	semidirect
490. C₂²×C₃×D₄	C₂×D₄	semidirect
491. C₂²×C₃×D₄	C₂×D₄	semidirect
492. C₂²×C₃×D₄	C₂×D₄	semidirect
493. C₂²×C₃×D₄	C₂×D₄	semidirect
523. C₂³×C₃×C₄	C₂×D₄	semidirect
614. C₂⁶	C₂³×C₃	semidirect
615. C₂⁶	C₂³×C₃	semidirect
626. C₂×H(5,𝔽₂)	C₃×D₄	semidirect
634. C₂²×#41	C₂³×C₃	semidirect
635. C₂²×#41	C₂³×C₃	semidirect
636. C₂²×#41	C₂³×C₃	semidirect
637. C₂²×#41	C₂³×C₃	semidirect
638. C₂³×Q₈	C₂³×C₃	semidirect
648. C₂³×D₄	C₃×D₄	semidirect
661. C₂³×D₄	C₂³×C₃	semidirect
662. C₂³×D₄	C₂³×C₃	semidirect
663. C₂³×D₄	C₂³×C₃	semidirect
664. C₂³×D₄	C₂³×C₃	semidirect
665. C₂³×D₄	C₂³×C₃	semidirect
666. C₂³×D₄	C₂³×C₃	semidirect
667. C₂³×D₄	C₂³×C₃	semidirect
668. C₂³×D₄	C₂³×C₃	semidirect
669. C₂³×D₄	C₂³×C₃	semidirect
670. C₂³×D₄	C₂³×C₃	semidirect
671. C₂³×D₄	C₂³×C₃	semidirect
672. C₂³×D₄	C₂³×C₃	semidirect
673. C₂³×D₄	C₂³×C₃	semidirect
674. C₂³×D₄	C₂³×C₃	semidirect
676. C₂⁴×C₄	C₂³×C₃	semidirect
677. C₂⁴×C₄	C₂³×C₃	semidirect
678. C₂⁴×C₄	C₂³×C₃	semidirect
679. C₂⁴×C₄	C₂³×C₃	semidirect
687. C₂×#127	C₂³×C₃	semidirect
688. C₂×#127	C₂³×C₃	semidirect
689. C₂×#124	C₂³×C₃	semidirect
691. C₂×#123	C₂³×C₃	semidirect
692. C₂×#123	C₂³×C₃	semidirect
693. C₂×C₂²⋊Q₈	C₂³×C₃	semidirect
698. C₂×#121	C₂³×C₃	semidirect
699. C₂×#121	C₂³×C₃	semidirect
700. C₂×#121	C₂³×C₃	semidirect
701. C₂×#121	C₂³×C₃	semidirect
702. C₂×#121	C₂³×C₃	semidirect
703. C₂×#121	C₂³×C₃	semidirect
710. C₂×#120	C₂³×C₃	semidirect
711. C₂×#120	C₂³×C₃	semidirect
712. C₂×#120	C₂³×C₃	semidirect
713. C₂×#120	C₂³×C₃	semidirect
714. C₂×#120	C₂³×C₃	semidirect
715. C₂×#120	C₂³×C₃	semidirect
716. C₂×#120	C₂³×C₃	semidirect
717. C₂×#120	C₂³×C₃	semidirect
718. C₂×#120	C₂³×C₃	semidirect
719. C₂×#120	C₂³×C₃	semidirect
724. C₂×C₄×D₄	C₂³×C₃	semidirect
725. C₂×C₄×D₄	C₂³×C₃	semidirect
726. C₂×C₄×D₄	C₂³×C₃	semidirect
727. C₂×C₄×D₄	C₂³×C₃	semidirect
728. C₂×#117	C₂³×C₃	semidirect
729. C₂²×C₄⋊C₄	C₂³×C₃	semidirect
730. C₂²×C₄⋊C₄	C₂³×C₃	semidirect
732. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
733. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
734. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
735. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
736. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
737. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
738. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
739. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
740. C₂²×C₂²⋊C₄	C₂³×C₃	semidirect
741. C₂²×C₄²	C₂³×C₃	semidirect
742. #395	C₂³×C₃	semidirect
743. #394	C₂³×C₃	semidirect
744. #394	C₂³×C₃	semidirect
745. #394	C₂³×C₃	semidirect
746. #393	C₂³×C₃	semidirect
747. #393	C₂³×C₃	semidirect
748. #392	C₂³×C₃	semidirect
749. #392	C₂³×C₃	semidirect
750. #392	C₂³×C₃	semidirect
751. #392	C₂³×C₃	semidirect
752. #392	C₂³×C₃	semidirect
753. #392	C₂³×C₃	semidirect
754. #392	C₂³×C₃	semidirect
755. #391	C₂³×C₃	semidirect
756. #391	C₂³×C₃	semidirect
757. #390	C₂³×C₃	semidirect
758. #390	C₂³×C₃	semidirect
759. #390	C₂³×C₃	semidirect
761. #386	C₂³×C₃	semidirect
762. #386	C₂³×C₃	semidirect
763. #386	C₂³×C₃	semidirect
764. #386	C₂³×C₃	semidirect
765. #386	C₂³×C₃	semidirect
766. #386	C₂³×C₃	semidirect
767. #386	C₂³×C₃	semidirect
768. #386	C₂³×C₃	semidirect
769. #386	C₂³×C₃	semidirect
770. #386	C₂³×C₃	semidirect
771. #386	C₂³×C₃	semidirect
772. #386	C₂³×C₃	semidirect
773. #385	C₂³×C₃	semidirect
774. #385	C₂³×C₃	semidirect
775. #385	C₂³×C₃	semidirect
776. #381	C₂³×C₃	semidirect
777. #381	C₂³×C₃	semidirect
778. #380	C₂³×C₃	semidirect
779. #380	C₂³×C₃	semidirect
780. #380	C₂³×C₃	semidirect
782. #379	C₂³×C₃	semidirect
783. #379	C₂³×C₃	semidirect
784. #379	C₂³×C₃	semidirect
785. #379	C₂³×C₃	semidirect
786. #379	C₂³×C₃	semidirect
787. #379	C₂³×C₃	semidirect
788. C₄×C₂²⋊C₄	C₂³×C₃	semidirect
789. C₄×C₂²⋊C₄	C₂³×C₃	semidirect
790. C₄×C₂²⋊C₄	C₂³×C₃	semidirect
791. C₂×#95	C₂³×C₃	semidirect
849. C₂⁴×C₃	C₂²×D₄	semidirect
870. C₂×C₃×Q₈	C₂²×D₄	semidirect
939. C₂×C₃×D₄	#120	semidirect
945. C₂×C₃×D₄	C₂²×D₄	semidirect
946. C₂×C₃×D₄	C₂²×D₄	semidirect
947. C₂×C₃×D₄	H(5,𝔽₂)	semidirect
988. C₂²×C₃×C₄	C₂²×D₄	semidirect
989. C₂²×C₃×C₄	C₂²×D₄	semidirect
1033. C₂⁵	C₂×C₃×D₄	semidirect
1068. C₂×#41	C₂×C₃×D₄	semidirect
1069. C₂×#41	C₂×C₃×D₄	semidirect
1133. C₂²×D₄	C₂×C₃×D₄	semidirect
1134. C₂²×D₄	C₂×C₃×D₄	semidirect
1135. C₂²×D₄	C₂×C₃×D₄	semidirect
1136. C₂²×D₄	C₂×C₃×D₄	semidirect
1137. C₂²×D₄	C₂×C₃×D₄	semidirect
1138. C₂²×D₄	C₂×C₃×D₄	semidirect
1168. C₂³×C₄	C₂×C₃×D₄	semidirect
1330. C₂³×C₃	C₂×#120	semidirect
1340. C₂³×C₃	C₂×H(5,𝔽₂)	semidirect
1363. C₃×D₄	C₂×#120	semidirect
1393. C₂×C₃×C₄	C₂×#120	semidirect
1398. C₂×C₃×C₄	C₂×H(5,𝔽₂)	semidirect
1456. C₂⁴	C₂²×C₃×D₄	semidirect
1477. C₂×Q₈	C₂²×C₃×D₄	semidirect
1546. C₂×D₄	C₃×#120	semidirect
1552. C₂×D₄	C₂²×C₃×D₄	semidirect
1553. C₂×D₄	C₂²×C₃×D₄	semidirect
1554. C₂×D₄	C₃×H(5,𝔽₂)	semidirect
1595. C₂²×C₄	C₂²×C₃×D₄	semidirect
1596. C₂²×C₄	C₂²×C₃×D₄	semidirect
1673. C₂²×C₃	#3484	semidirect
1758. C₂³	C₂×C₃×#120	semidirect
1768. C₂³	C₂×C₃×H(5,𝔽₂)	semidirect
1791. D₄	C₂×C₃×#120	semidirect
1821. C₂×C₄	C₂×C₃×#120	semidirect
1826. C₂×C₄	C₂×C₃×H(5,𝔽₂)	semidirect
1883. C₂²	C₃×#3484	semidirect
1896. C₃	#7631286	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₃×H(5,𝔽₂)	2
C₂×C₃×#3484	2
C₂²×C₃×D₄²	2
C₃×#36212	2
C₃×D₄×#120	2
C₃×#35680	2
C₃×#35527	2
C₃×#35512	2
C₃×#35347	2
C₃×#35346	2
C₃×#35250	2
C₃×#34980	2
C₃×#34736	2
C₂×C₃×#2403	2
C₃×#34256	2
C₃×#34171	2
#7631286	3

Subgroups — C3×#7631286 #72253875

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#7631286 #72253875