Subgroups — C₃×#61066 #10679673

Order 768.

2912 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#575	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3282	C₂	1	2	yes	maximal, complemented
6	C₃×#3280	C₂	1	2	yes	maximal, complemented
7	C₃×#3275	C₂	1	2	yes	maximal, complemented
8	C₃×#3273	C₂	1	2	yes	maximal, complemented
9	C₃×#3268	C₂	1	2	yes	maximal, complemented
10	C₃×#3267	C₂	1	2	yes	maximal, complemented
11	C₃×#3266	C₂	1	2	yes	maximal, complemented
12	C₃×#3264	C₂	1	2	yes	maximal, complemented
13	C₃×#3153	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3003	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×C₄×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	#61066	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic, complemented
29	C₃×#575	—	2	8	no	—
30	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃×#137	C₂²	1	2	yes	complemented
34	C₂×C₃×AGL(1,ℤ/8)	—	2	8	no	—
35	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
36	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
37	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
41	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
42	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
44	C₂×C₃×#135	C₂²	1	2	yes	complemented
45	C₂×C₃×#135	C₂²	1	2	yes	complemented
46	C₂²×C₃×SD₁₆	C₂²	1	2	yes	complemented
47	C₂²×C₃×D₈	C₂²	1	2	yes	complemented
48	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
50	C₃×#550	C₂²	1	1	yes	characteristic, complemented
51	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₃×#548	C₂²	1	1	yes	characteristic, complemented
53	C₃×#548	C₂²	1	1	yes	characteristic, complemented
54	C₃×#547	—	2	1	no	—
55	C₃×#547	C₂²	1	1	yes	characteristic, complemented
56	C₃×#546	—	2	1	no	—
57	C₃×#546	—	2	1	no	—
58	C₃×#546	—	2	1	no	—
59	C₃×#546	—	2	1	no	—
60	C₃×#546	—	2	1	no	—
61	C₃×#546	—	2	1	no	—
62	C₃×#546	C₂²	1	2	yes	—
63	C₃×#546	C₂²	1	2	yes	complemented
64	C₃×#546	C₂²	1	2	yes	complemented
65	C₃×#546	C₂²	1	2	yes	complemented
66	C₃×#546	C₂²	1	1	yes	characteristic, complemented
67	C₃×#546	C₂²	1	1	yes	characteristic, complemented
68	C₃×D₄²	—	2	1	no	—
69	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
70	C₃×#532	—	2	1	no	—
71	C₃×#532	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
73	C₃×#525	—	2	1	no	—
74	C₃×#525	—	2	1	no	—
75	C₃×#525	C₂²	1	1	yes	characteristic
76	C₃×#525	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₃×#123	—	2	1	no	—
78	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₃×#121	—	2	1	no	—
80	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃×#120	—	2	1	no	—
82	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₃×C₄×D₄	—	2	1	no	—
84	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
85	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
86	C₂²×C₃×C₂²⋊C₄	—	2	1	no	—
87	C₃×#497	C₂²	1	2	yes	complemented
88	C₃×#496	C₂²	1	2	yes	complemented
89	C₃×#495	C₂²	1	2	yes	complemented
90	C₃×#495	C₂²	1	2	yes	complemented
91	C₃×#470	C₂²	1	2	yes	complemented
92	C₃×#469	C₂²	1	2	yes	complemented
93	C₃×#468	C₂²	1	2	yes	complemented
94	C₃×#468	C₂²	1	2	yes	complemented
95	C₃×#467	C₂²	1	2	yes	complemented
96	C₃×#466	C₂²	1	2	yes	complemented
97	C₃×#465	C₂²	1	2	yes	complemented
98	C₃×#465	C₂²	1	2	yes	complemented
99	C₃×#464	C₂²	1	2	yes	complemented
100	C₃×#464	C₂²	1	2	yes	complemented
101	C₃×#463	C₂²	1	2	yes	complemented
102	C₃×#463	C₂²	1	2	yes	complemented
103	C₃×#463	C₂²	1	2	yes	complemented
104	C₃×#463	C₂²	1	2	yes	complemented
105	C₃×#461	C₂²	1	2	yes	complemented
106	C₃×#459	C₂²	1	2	yes	complemented
107	C₃×#452	C₂²	1	2	yes	complemented
108	C₃×#452	C₂²	1	2	yes	complemented
109	C₃×#452	C₂²	1	2	yes	complemented
110	C₃×#452	C₂²	1	2	yes	complemented
111	C₃×#451	C₂²	1	2	yes	complemented
112	C₃×#450	C₂²	1	2	yes	complemented
113	C₃×#450	C₂²	1	2	yes	complemented
114	C₃×#450	C₂²	1	2	yes	complemented
115	C₃×#449	C₂²	1	2	yes	complemented
116	C₃×#449	C₂²	1	2	yes	complemented
117	C₃×#449	C₂²	1	2	yes	complemented
118	C₃×#449	C₂²	1	2	yes	complemented
119	C₃×#448	C₂²	1	2	yes	complemented
120	C₃×#447	C₂²	1	2	yes	complemented
121	C₃×#447	C₂²	1	2	yes	complemented
122	C₃×#447	C₂²	1	2	yes	complemented
123	C₃×#442	C₂²	1	2	yes	complemented
124	C₃×#440	C₂²	1	2	yes	complemented
125	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
126	C₃×C₄×D₈	C₂²	1	2	yes	complemented
127	C₃×#436	C₂²	1	2	yes	complemented
128	C₃×#435	C₂²	1	2	yes	complemented
129	C₃×#435	C₂²	1	2	yes	complemented
130	C₃×C₈×D₄	C₂²	1	2	yes	complemented
131	C₃×#428	C₂²	1	1	yes	characteristic, complemented
132	C₃×#423	C₂²	1	1	yes	characteristic, complemented
133	C₃×#419	C₂²	1	1	yes	characteristic, complemented
134	C₃×#418	C₂²	1	1	yes	characteristic, complemented
135	C₃×#418	C₂²	1	1	yes	characteristic, complemented
136	C₃×#417	C₂²	1	1	yes	characteristic, complemented
137	C₃×#417	C₂²	1	1	yes	characteristic, complemented
138	C₃×#417	C₂²	1	1	yes	characteristic, complemented
139	C₃×#407	C₂²	1	1	yes	characteristic, complemented
140	C₃×#407	C₂²	1	1	yes	characteristic, complemented
141	C₃×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
142	C₂×#575	C₂×C₃	1	1	yes	characteristic, complemented
143	C₂²×AGL(1,ℤ/8)	C₂×C₃	1	1	yes	characteristic, complemented
144	D₄×#41	C₂×C₃	1	1	yes	characteristic, complemented
145	C₂×#546	C₂×C₃	1	1	yes	characteristic, complemented
146	#3282	C₂×C₃	1	2	yes	complemented
147	#3280	C₂×C₃	1	2	yes	complemented
148	#3275	C₂×C₃	1	2	yes	complemented
149	#3273	C₂×C₃	1	2	yes	complemented
150	#3268	C₂×C₃	1	2	yes	complemented
151	#3267	C₂×C₃	1	2	yes	complemented
152	#3266	C₂×C₃	1	2	yes	complemented
153	#3264	C₂×C₃	1	2	yes	complemented
154	#3153	C₂×C₃	1	1	yes	characteristic, complemented
155	#3056	C₂×C₃	1	1	yes	characteristic, complemented
156	#3055	C₂×C₃	1	1	yes	characteristic, complemented
157	#3040	C₂×C₃	1	1	yes	characteristic, complemented
158	#3036	C₂×C₃	1	1	yes	characteristic, complemented
159	#3007	C₂×C₃	1	1	yes	characteristic, complemented
160	#3006	C₂×C₃	1	1	yes	characteristic, complemented
161	#3005	C₂×C₃	1	1	yes	characteristic, complemented
162	#3003	C₂×C₃	1	1	yes	characteristic, complemented
163	C₄×AGL(1,ℤ/8)	C₂×C₃	1	1	yes	characteristic, complemented
164	D₄×M₁₆	C₂×C₃	1	1	yes	characteristic, complemented
165	C₂⁵×C₃	—	2	1	no	—
166	C₂×C₃×#41	—	2	1	no	—
167	C₂×C₃×#41	—	2	1	no	—
168	C₂×C₃×#41	—	2	1	no	—
169	C₂×C₃×#41	—	2	1	no	—
170	C₂×C₃×#41	—	2	1	no	—
171	C₂×C₃×#41	—	2	1	no	—
172	C₂×C₃×#41	—	2	4	no	—
173	C₂×C₃×#41	—	2	4	no	—
174	C₂×C₃×#41	—	2	4	no	—
175	C₂×C₃×#41	—	4	2	no	—
176	C₂×C₃×#41	—	4	2	no	—
177	C₂×C₃×#41	—	4	2	no	—
178	C₂×C₃×#41	C₂³	1	1	yes	characteristic
179	C₂×C₃×#41	C₂³	1	1	yes	characteristic
180	C₂×C₃×#41	C₂³	1	2	yes	—
181	C₂×C₃×#41	C₂³	1	1	yes	characteristic
182	C₂×C₃×#41	C₂³	1	1	yes	characteristic
183	C₂×C₃×#41	C₂³	1	2	yes	—
184	C₂×C₃×#41	C₂³	1	1	yes	characteristic
185	C₂×C₃×#41	C₂³	1	1	yes	characteristic, complemented
186	C₂×C₃×#41	C₂³	1	1	yes	characteristic, complemented
187	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
188	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic, complemented
190	C₂²×C₃×D₄	—	2	4	no	—
191	C₂²×C₃×D₄	—	2	1	no	—
192	C₂²×C₃×D₄	—	2	1	no	—
193	C₂²×C₃×D₄	—	2	1	no	—
194	C₂²×C₃×D₄	—	2	1	no	—
195	C₂²×C₃×D₄	—	2	1	no	—
196	C₂²×C₃×D₄	—	2	1	no	—
197	C₂²×C₃×D₄	—	2	1	no	—
198	C₂²×C₃×D₄	—	2	1	no	—
199	C₂²×C₃×D₄	—	4	2	no	—
200	C₂²×C₃×D₄	D₄	1	1	yes	characteristic
201	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
202	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
203	C₂²×C₃×D₄	C₂³	1	2	yes	—
204	C₂²×C₃×D₄	C₂³	1	2	yes	—
205	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
207	C₂³×C₃×C₄	—	2	1	no	—
208	C₂³×C₃×C₄	—	2	1	no	—
209	C₂³×C₃×C₄	—	2	1	no	—
210	C₂³×C₃×C₄	—	2	1	no	—
211	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
212	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
213	C₃×#137	—	2	4	no	—
214	C₃×#137	—	2	8	no	—
215	C₃×#137	—	2	4	no	—
216	C₃×#137	—	4	2	no	—
217	C₃×AGL(1,ℤ/8)	—	2	4	no	—
218	C₃×AGL(1,ℤ/8)	—	2	4	no	—
219	C₃×AGL(1,ℤ/8)	—	2	4	no	—
220	C₃×AGL(1,ℤ/8)	—	2	8	no	—
221	C₃×AGL(1,ℤ/8)	—	2	8	no	—
222	C₃×AGL(1,ℤ/8)	—	2	8	no	—
223	C₃×AGL(1,ℤ/8)	—	2	4	no	—
224	C₃×AGL(1,ℤ/8)	—	4	2	no	—
225	C₃×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
226	C₃×#135	—	2	8	no	—
227	C₃×#135	—	2	8	no	—
228	C₂×C₃×Q₁₆	C₂³	1	2	yes	complemented
229	C₂×C₃×Q₁₆	C₂³	1	2	yes	complemented
230	C₂×C₃×Q₁₆	C₂³	1	2	yes	complemented
231	C₂×C₃×SD₁₆	—	2	8	no	—
232	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
233	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
234	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
235	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
236	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
237	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
238	C₂×C₃×SD₁₆	C₂³	1	2	yes	complemented
239	C₂×C₃×SD₁₆	C₂³	1	2	yes	complemented
240	C₂×C₃×SD₁₆	C₂³	1	2	yes	complemented
241	C₂×C₃×D₈	—	2	8	no	—
242	C₂×C₃×D₈	C₂³	1	2	yes	—
243	C₂×C₃×D₈	C₂³	1	2	yes	—
244	C₂×C₃×D₈	C₂³	1	2	yes	—
245	C₂×C₃×D₈	C₂³	1	2	yes	—
246	C₂×C₃×D₈	C₂³	1	2	yes	—
247	C₂×C₃×D₈	C₂³	1	2	yes	—
248	C₂×C₃×M₁₆	—	2	4	no	—
249	C₂×C₃×M₁₆	—	2	4	no	—
250	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×M₁₆	C₂³	1	2	yes	—
252	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
254	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
255	C₂×C₃×M₁₆	C₂³	1	2	yes	complemented
256	C₂²×C₃×C₈	C₂³	1	2	yes	—
257	C₂²×C₃×C₈	C₂³	1	2	yes	complemented
258	C₃×C₄⋊Q₈	—	2	1	no	—
259	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
260	C₃×#127	—	2	1	no	—
261	C₃×#127	C₂³	1	1	yes	characteristic, complemented
262	C₃×#124	—	2	1	no	—
263	C₃×#124	—	2	1	no	—
264	C₃×#124	—	2	1	no	—
265	C₃×#124	—	2	1	no	—
266	C₃×#124	C₂³	1	2	yes	—
267	C₃×#124	C₂³	1	2	yes	—
268	C₃×#124	C₂³	1	1	yes	characteristic, complemented
269	C₃×#124	C₂³	1	1	yes	characteristic, complemented
270	C₃×#123	—	2	1	no	—
271	C₃×#123	—	2	1	no	—
272	C₃×#123	—	2	2	no	—
273	C₃×#123	—	2	2	no	—
274	C₃×#123	—	2	2	no	—
275	C₃×#123	—	2	2	no	—
276	C₃×#123	—	2	1	no	—
277	C₃×#123	—	2	1	no	—
278	C₃×#123	—	2	1	no	—
279	C₃×#123	—	2	1	no	—
280	C₃×C₂²⋊Q₈	—	2	1	no	—
281	C₃×C₂²⋊Q₈	—	2	1	no	—
282	C₃×C₂²⋊Q₈	—	2	1	no	—
283	C₃×C₂²⋊Q₈	—	2	1	no	—
284	C₃×C₂²⋊Q₈	—	2	1	no	—
285	C₃×C₂²⋊Q₈	—	2	1	no	—
286	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
287	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
288	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
289	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
290	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
291	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
292	C₃×#121	—	2	1	no	—
293	C₃×#121	—	2	1	no	—
294	C₃×#121	—	2	1	no	—
295	C₃×#121	—	2	1	no	—
296	C₃×#121	—	2	1	no	—
297	C₃×#121	—	2	1	no	—
298	C₃×#121	—	2	1	no	—
299	C₃×#121	—	2	1	no	—
300	C₃×#121	—	2	2	no	—
301	C₃×#121	—	2	2	no	—
302	C₃×#121	—	2	2	no	—
303	C₃×#121	—	2	2	no	—
304	C₃×#121	—	2	1	no	—
305	C₃×#121	—	2	1	no	—
306	C₃×#121	—	2	1	no	—
307	C₃×#121	—	2	1	no	—
308	C₃×#121	C₂³	1	1	yes	characteristic
309	C₃×#121	C₂³	1	1	yes	characteristic
310	C₃×#121	C₂³	1	2	yes	—
311	C₃×#121	C₂³	1	2	yes	—
312	C₃×#121	C₂³	1	1	yes	characteristic, complemented
313	C₃×#121	C₂³	1	1	yes	characteristic, complemented
314	C₃×#120	—	2	1	no	—
315	C₃×#120	—	2	1	no	—
316	C₃×#120	—	2	2	no	—
317	C₃×#120	—	2	2	no	—
318	C₃×#120	—	2	2	no	—
319	C₃×#120	—	2	2	no	—
320	C₃×#120	—	2	1	no	—
321	C₃×#120	—	2	1	no	—
322	C₃×#120	—	2	1	no	—
323	C₃×#120	—	2	1	no	—
324	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
325	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
326	C₃×C₄×D₄	—	2	1	no	—
327	C₃×C₄×D₄	—	2	1	no	—
328	C₃×C₄×D₄	—	2	1	no	—
329	C₃×C₄×D₄	—	2	1	no	—
330	C₃×C₄×D₄	—	2	1	no	—
331	C₃×C₄×D₄	—	2	1	no	—
332	C₃×C₄×D₄	—	2	1	no	—
333	C₃×C₄×D₄	—	2	1	no	—
334	C₃×C₄×D₄	—	2	1	no	—
335	C₃×C₄×D₄	—	2	1	no	—
336	C₃×C₄×D₄	—	2	1	no	—
337	C₃×C₄×D₄	—	2	1	no	—
338	C₃×C₄×D₄	—	2	1	no	—
339	C₃×C₄×D₄	—	2	1	no	—
340	C₃×C₄×D₄	D₄	1	1	yes	characteristic
341	C₃×C₄×D₄	D₄	1	1	yes	characteristic
342	C₃×C₄×D₄	D₄	1	1	yes	characteristic
343	C₃×C₄×D₄	D₄	1	1	yes	characteristic
344	C₃×C₄×D₄	C₂³	1	2	yes	—
345	C₃×C₄×D₄	C₂³	1	2	yes	—
346	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
347	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
348	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
349	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
350	C₃×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
351	C₃×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
352	C₃×#117	—	2	1	no	—
353	C₃×#117	C₂³	1	1	yes	characteristic
354	C₂×C₃×C₄⋊C₄	—	2	1	no	—
355	C₂×C₃×C₄⋊C₄	—	2	1	no	—
356	C₂×C₃×C₄⋊C₄	D₄	1	1	yes	characteristic
357	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
359	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
360	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
361	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
362	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
363	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
364	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
365	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
366	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
367	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
368	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
369	C₂×C₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
370	C₂×C₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
371	C₂×C₃×C₄²	—	2	1	no	—
372	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
373	C₃×#107	C₂³	1	2	yes	complemented
374	C₃×#106	C₂³	1	2	yes	complemented
375	C₃×C₄⋊C₈	C₂³	1	2	yes	complemented
376	C₃×C₄⋊C₈	C₂³	1	2	yes	complemented
377	C₃×#103	C₂³	1	2	yes	complemented
378	C₃×#103	C₂³	1	2	yes	complemented
379	C₃×#103	C₂³	1	2	yes	complemented
380	C₃×#103	C₂³	1	2	yes	complemented
381	C₃×#103	C₂³	1	2	yes	complemented
382	C₃×#102	C₂³	1	2	yes	—
383	C₃×#102	C₂³	1	2	yes	—
384	C₃×#102	C₂³	1	2	yes	—
385	C₃×#102	C₂³	1	2	yes	—
386	C₃×#102	C₂³	1	2	yes	complemented
387	C₃×#102	C₂³	1	2	yes	complemented
388	C₃×#102	C₂³	1	2	yes	complemented
389	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
390	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
391	C₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
392	C₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
393	C₃×#97	C₂³	1	2	yes	complemented
394	C₃×C₄×C₈	C₂³	1	2	yes	complemented
395	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
396	C₂²×#41	C₂²×C₃	1	1	yes	characteristic, complemented
397	C₂²×#41	C₂²×C₃	1	1	yes	characteristic, complemented
398	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
399	#575	—	2	8	no	—
400	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
401	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
402	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
403	C₂×#137	C₂²×C₃	1	2	yes	complemented
404	C₂×AGL(1,ℤ/8)	—	2	8	no	—
405	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic
406	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic
407	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
408	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
409	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
410	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	2	yes	complemented
411	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	2	yes	complemented
412	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
413	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	2	yes	complemented
414	C₂×#135	C₂²×C₃	1	2	yes	complemented
415	C₂×#135	C₂²×C₃	1	2	yes	complemented
416	C₂²×SD₁₆	C₂²×C₃	1	2	yes	complemented
417	C₂²×D₈	C₂²×C₃	1	2	yes	complemented
418	C₂²×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₂²×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
420	#550	C₂²×C₃	1	1	yes	characteristic, complemented
421	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
422	#548	C₂²×C₃	1	1	yes	characteristic, complemented
423	#548	C₂²×C₃	1	1	yes	characteristic, complemented
424	#547	—	2	1	no	—
425	#547	C₂²×C₃	1	1	yes	characteristic, complemented
426	#546	—	2	1	no	—
427	#546	—	2	1	no	—
428	#546	—	2	1	no	—
429	#546	—	2	1	no	—
430	#546	—	2	1	no	—
431	#546	—	2	1	no	—
432	#546	C₂²×C₃	1	2	yes	—
433	#546	C₂²×C₃	1	2	yes	complemented
434	#546	C₂²×C₃	1	2	yes	complemented
435	#546	C₂²×C₃	1	2	yes	complemented
436	#546	C₂²×C₃	1	1	yes	characteristic, complemented
437	#546	C₂²×C₃	1	1	yes	characteristic, complemented
438	D₄²	—	2	1	no	—
439	D₄²	C₂²×C₃	1	1	yes	characteristic, complemented
440	#532	—	2	1	no	—
441	#532	C₂²×C₃	1	1	yes	characteristic, complemented
442	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
443	#525	—	2	1	no	—
444	#525	—	2	1	no	—
445	#525	C₂²×C₃	1	1	yes	characteristic
446	#525	C₂²×C₃	1	1	yes	characteristic, complemented
447	C₂×#123	—	2	1	no	—
448	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
449	C₂×#121	—	2	1	no	—
450	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
451	C₂×#120	—	2	1	no	—
452	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
453	C₂×C₄×D₄	—	2	1	no	—
454	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
455	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
456	C₂²×C₂²⋊C₄	—	2	1	no	—
457	#497	C₂²×C₃	1	2	yes	complemented
458	#496	C₂²×C₃	1	2	yes	complemented
459	#495	C₂²×C₃	1	2	yes	complemented
460	#495	C₂²×C₃	1	2	yes	complemented
461	#470	C₂²×C₃	1	2	yes	complemented
462	#469	C₂²×C₃	1	2	yes	complemented
463	#468	C₂²×C₃	1	2	yes	complemented
464	#468	C₂²×C₃	1	2	yes	complemented
465	#467	C₂²×C₃	1	2	yes	complemented
466	#466	C₂²×C₃	1	2	yes	complemented
467	#465	C₂²×C₃	1	2	yes	complemented
468	#465	C₂²×C₃	1	2	yes	complemented
469	#464	C₂²×C₃	1	2	yes	complemented
470	#464	C₂²×C₃	1	2	yes	complemented
471	#463	C₂²×C₃	1	2	yes	complemented
472	#463	C₂²×C₃	1	2	yes	complemented
473	#463	C₂²×C₃	1	2	yes	complemented
474	#463	C₂²×C₃	1	2	yes	complemented
475	#461	C₂²×C₃	1	2	yes	complemented
476	#459	C₂²×C₃	1	2	yes	complemented
477	#452	C₂²×C₃	1	2	yes	complemented
478	#452	C₂²×C₃	1	2	yes	complemented
479	#452	C₂²×C₃	1	2	yes	complemented
480	#452	C₂²×C₃	1	2	yes	complemented
481	#451	C₂²×C₃	1	2	yes	complemented
482	#450	C₂²×C₃	1	2	yes	complemented
483	#450	C₂²×C₃	1	2	yes	complemented
484	#450	C₂²×C₃	1	2	yes	complemented
485	#449	C₂²×C₃	1	2	yes	complemented
486	#449	C₂²×C₃	1	2	yes	complemented
487	#449	C₂²×C₃	1	2	yes	complemented
488	#449	C₂²×C₃	1	2	yes	complemented
489	#448	C₂²×C₃	1	2	yes	complemented
490	#447	C₂²×C₃	1	2	yes	complemented
491	#447	C₂²×C₃	1	2	yes	complemented
492	#447	C₂²×C₃	1	2	yes	complemented
493	#442	C₂²×C₃	1	2	yes	complemented
494	#440	C₂²×C₃	1	2	yes	complemented
495	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
496	C₄×D₈	C₂²×C₃	1	2	yes	complemented
497	#436	C₂²×C₃	1	2	yes	complemented
498	#435	C₂²×C₃	1	2	yes	complemented
499	#435	C₂²×C₃	1	2	yes	complemented
500	C₈×D₄	C₂²×C₃	1	2	yes	complemented
501	#428	C₂²×C₃	1	1	yes	characteristic, complemented
502	#423	C₂²×C₃	1	1	yes	characteristic, complemented
503	#419	C₂²×C₃	1	1	yes	characteristic, complemented
504	#418	C₂²×C₃	1	1	yes	characteristic, complemented
505	#418	C₂²×C₃	1	1	yes	characteristic, complemented
506	#417	C₂²×C₃	1	1	yes	characteristic, complemented
507	#417	C₂²×C₃	1	1	yes	characteristic, complemented
508	#417	C₂²×C₃	1	1	yes	characteristic, complemented
509	#407	C₂²×C₃	1	1	yes	characteristic, complemented
510	#407	C₂²×C₃	1	1	yes	characteristic, complemented
511	C₄×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
512	C₂⁴×C₃	—	2	1	no	—
513	C₂⁴×C₃	—	2	1	no	—
514	C₂⁴×C₃	—	2	2	no	—
515	C₂⁴×C₃	—	2	2	no	—
516	C₂⁴×C₃	—	2	1	no	—
517	C₂⁴×C₃	—	2	1	no	—
518	C₂⁴×C₃	—	4	4	no	—
519	C₂⁴×C₃	—	4	4	no	—
520	C₂⁴×C₃	—	8	2	no	—
521	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
522	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
523	C₃×#41	—	2	2	no	—
524	C₃×#41	—	2	2	no	—
525	C₃×#41	—	2	2	no	—
526	C₃×#41	—	2	4	no	—
527	C₃×#41	—	2	2	no	—
528	C₃×#41	—	2	2	no	—
529	C₃×#41	—	2	4	no	—
530	C₃×#41	—	2	2	no	—
531	C₃×#41	—	2	2	no	—
532	C₃×#41	—	2	2	no	—
533	C₃×#41	—	2	2	no	—
534	C₃×#41	—	4	4	no	—
535	C₃×#41	—	4	4	no	—
536	C₃×#41	—	4	1	no	—
537	C₃×#41	—	4	1	no	—
538	C₃×#41	—	4	2	no	—
539	C₃×#41	—	4	2	no	—
540	C₃×#41	—	4	1	no	—
541	C₃×#41	—	4	1	no	—
542	C₃×#41	—	4	4	no	—
543	C₃×#41	—	4	4	no	—
544	C₃×#41	—	4	4	no	—
545	C₃×#41	—	4	4	no	—
546	C₃×#41	C₂×D₄	1	4	yes	—
547	C₂×C₃×Q₈	—	2	1	no	—
548	C₂×C₃×Q₈	—	2	1	no	—
549	C₂×C₃×Q₈	—	2	1	no	—
550	C₂×C₃×Q₈	—	2	2	no	—
551	C₂×C₃×Q₈	—	2	2	no	—
552	C₂×C₃×Q₈	—	2	2	no	—
553	C₂×C₃×Q₈	—	2	2	no	—
554	C₂×C₃×Q₈	—	4	1	no	—
555	C₂×C₃×Q₈	—	4	1	no	—
556	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
557	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
559	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
560	C₂×C₃×D₄	—	2	1	no	—
561	C₂×C₃×D₄	—	2	2	no	—
562	C₂×C₃×D₄	—	2	4	no	—
563	C₂×C₃×D₄	—	2	4	no	—
564	C₂×C₃×D₄	—	2	2	no	—
565	C₂×C₃×D₄	—	2	1	no	—
566	C₂×C₃×D₄	—	2	1	no	—
567	C₂×C₃×D₄	—	2	2	no	—
568	C₂×C₃×D₄	—	2	2	no	—
569	C₂×C₃×D₄	—	2	1	no	—
570	C₂×C₃×D₄	—	2	1	no	—
571	C₂×C₃×D₄	—	2	1	no	—
572	C₂×C₃×D₄	—	2	1	no	—
573	C₂×C₃×D₄	—	2	1	no	—
574	C₂×C₃×D₄	—	2	1	no	—
575	C₂×C₃×D₄	—	2	1	no	—
576	C₂×C₃×D₄	—	2	1	no	—
577	C₂×C₃×D₄	—	2	2	no	—
578	C₂×C₃×D₄	—	2	2	no	—
579	C₂×C₃×D₄	—	2	1	no	—
580	C₂×C₃×D₄	—	2	2	no	—
581	C₂×C₃×D₄	—	2	1	no	—
582	C₂×C₃×D₄	—	2	1	no	—
583	C₂×C₃×D₄	—	2	1	no	—
584	C₂×C₃×D₄	—	2	2	no	—
585	C₂×C₃×D₄	—	2	2	no	—
586	C₂×C₃×D₄	—	2	1	no	—
587	C₂×C₃×D₄	—	2	1	no	—
588	C₂×C₃×D₄	—	2	2	no	—
589	C₂×C₃×D₄	—	2	2	no	—
590	C₂×C₃×D₄	—	4	2	no	—
591	C₂×C₃×D₄	—	4	2	no	—
592	C₂×C₃×D₄	—	4	1	no	—
593	C₂×C₃×D₄	—	4	1	no	—
594	C₂×C₃×D₄	—	4	4	no	—
595	C₂×C₃×D₄	—	4	4	no	—
596	C₂×C₃×D₄	—	4	4	no	—
597	C₂×C₃×D₄	—	4	2	no	—
598	C₂×C₃×D₄	—	4	4	no	—
599	C₂×C₃×D₄	—	4	4	no	—
600	C₂×C₃×D₄	—	4	4	no	—
601	C₂×C₃×D₄	—	4	4	no	—
602	C₂×C₃×D₄	—	8	2	no	—
603	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
604	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
605	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
606	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
607	C₂×C₃×D₄	C₂×D₄	1	4	yes	complemented
608	C₂×C₃×D₄	C₂⁴	1	2	yes	—
609	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
610	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
611	C₂×C₃×D₄	C₂⁴	1	2	yes	—
612	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
613	C₂²×C₃×C₄	—	2	1	no	—
614	C₂²×C₃×C₄	—	2	2	no	—
615	C₂²×C₃×C₄	—	2	2	no	—
616	C₂²×C₃×C₄	—	2	2	no	—
617	C₂²×C₃×C₄	—	2	2	no	—
618	C₂²×C₃×C₄	—	2	1	no	—
619	C₂²×C₃×C₄	—	2	1	no	—
620	C₂²×C₃×C₄	—	2	1	no	—
621	C₂²×C₃×C₄	—	2	1	no	—
622	C₂²×C₃×C₄	—	2	1	no	—
623	C₂²×C₃×C₄	—	2	2	no	—
624	C₂²×C₃×C₄	—	2	2	no	—
625	C₂²×C₃×C₄	—	2	1	no	—
626	C₂²×C₃×C₄	—	2	1	no	—
627	C₂²×C₃×C₄	—	2	1	no	—
628	C₂²×C₃×C₄	—	2	1	no	—
629	C₂²×C₃×C₄	—	2	1	no	—
630	C₂²×C₃×C₄	—	2	1	no	—
631	C₂²×C₃×C₄	—	2	1	no	—
632	C₂²×C₃×C₄	—	2	2	no	—
633	C₂²×C₃×C₄	—	2	2	no	—
634	C₂²×C₃×C₄	—	4	4	no	—
635	C₂²×C₃×C₄	—	4	4	no	—
636	C₂²×C₃×C₄	—	4	4	no	—
637	C₂²×C₃×C₄	—	8	2	no	—
638	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
639	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
640	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
641	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
642	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
643	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
644	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
645	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
646	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
647	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
648	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
649	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
650	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
651	C₃×Q₁₆	—	2	4	no	—
652	C₃×Q₁₆	—	2	4	no	—
653	C₃×Q₁₆	—	4	2	no	—
654	C₃×SD₁₆	—	2	4	no	—
655	C₃×SD₁₆	—	2	4	no	—
656	C₃×SD₁₆	—	2	4	no	—
657	C₃×SD₁₆	—	2	4	no	—
658	C₃×SD₁₆	—	2	4	no	—
659	C₃×SD₁₆	—	2	4	no	—
660	C₃×SD₁₆	—	4	2	no	—
661	C₃×SD₁₆	—	4	2	no	—
662	C₃×SD₁₆	C₂×D₄	1	8	yes	complemented
663	C₃×D₈	—	2	4	no	—
664	C₃×D₈	—	2	4	no	—
665	C₃×D₈	—	2	4	no	—
666	C₃×D₈	—	2	4	no	—
667	C₃×D₈	—	4	2	no	—
668	C₃×D₈	C₂×D₄	1	8	yes	complemented
669	C₃×M₁₆	—	2	2	no	—
670	C₃×M₁₆	—	2	2	no	—
671	C₃×M₁₆	—	2	2	no	—
672	C₃×M₁₆	—	2	4	no	—
673	C₃×M₁₆	—	2	4	no	—
674	C₃×M₁₆	C₂×D₄	1	4	yes	complemented
675	C₂×C₃×C₈	—	2	4	no	—
676	C₂×C₃×C₈	—	2	4	no	—
677	C₂×C₃×C₈	C₂⁴	1	2	yes	—
678	C₂×C₃×C₈	C₂⁴	1	2	yes	—
679	C₂×C₃×C₈	C₂⁴	1	2	yes	—
680	C₂×C₃×C₈	C₂⁴	1	2	yes	—
681	C₃×C₄⋊C₄	—	2	1	no	—
682	C₃×C₄⋊C₄	—	2	1	no	—
683	C₃×C₄⋊C₄	—	2	1	no	—
684	C₃×C₄⋊C₄	—	2	2	no	—
685	C₃×C₄⋊C₄	—	2	2	no	—
686	C₃×C₄⋊C₄	—	2	1	no	—
687	C₃×C₄⋊C₄	—	2	1	no	—
688	C₃×C₄⋊C₄	—	2	1	no	—
689	C₃×C₄⋊C₄	—	2	1	no	—
690	C₃×C₄⋊C₄	—	2	1	no	—
691	C₃×C₄⋊C₄	—	2	1	no	—
692	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
697	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
698	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
699	C₃×C₂²⋊C₄	—	2	2	no	—
700	C₃×C₂²⋊C₄	—	2	2	no	—
701	C₃×C₂²⋊C₄	—	2	1	no	—
702	C₃×C₂²⋊C₄	—	2	1	no	—
703	C₃×C₂²⋊C₄	—	2	1	no	—
704	C₃×C₂²⋊C₄	—	2	1	no	—
705	C₃×C₂²⋊C₄	—	2	1	no	—
706	C₃×C₂²⋊C₄	—	2	2	no	—
707	C₃×C₂²⋊C₄	—	2	2	no	—
708	C₃×C₂²⋊C₄	—	2	2	no	—
709	C₃×C₂²⋊C₄	—	2	2	no	—
710	C₃×C₂²⋊C₄	—	2	1	no	—
711	C₃×C₂²⋊C₄	—	2	1	no	—
712	C₃×C₂²⋊C₄	—	2	1	no	—
713	C₃×C₂²⋊C₄	—	2	1	no	—
714	C₃×C₂²⋊C₄	—	2	2	no	—
715	C₃×C₂²⋊C₄	—	2	2	no	—
716	C₃×C₂²⋊C₄	—	2	2	no	—
717	C₃×C₂²⋊C₄	—	2	2	no	—
718	C₃×C₂²⋊C₄	—	2	1	no	—
719	C₃×C₂²⋊C₄	—	2	1	no	—
720	C₃×C₂²⋊C₄	—	2	1	no	—
721	C₃×C₂²⋊C₄	—	2	1	no	—
722	C₃×C₂²⋊C₄	—	2	1	no	—
723	C₃×C₂²⋊C₄	—	2	1	no	—
724	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
725	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
726	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
727	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
728	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
729	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
730	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
731	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
732	C₃×C₄²	—	2	1	no	—
733	C₃×C₄²	—	2	1	no	—
734	C₃×C₄²	—	2	1	no	—
735	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
736	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
737	C₃×C₄²	C₂⁴	1	1	yes	characteristic
738	C₃×C₄²	C₂⁴	1	1	yes	characteristic
739	C₂⁵	—	2	1	no	—
740	C₂×#41	—	2	1	no	—
741	C₂×#41	—	2	1	no	—
742	C₂×#41	—	2	1	no	—
743	C₂×#41	—	2	1	no	—
744	C₂×#41	—	2	1	no	—
745	C₂×#41	—	2	1	no	—
746	C₂×#41	—	2	4	no	—
747	C₂×#41	—	2	4	no	—
748	C₂×#41	—	2	4	no	—
749	C₂×#41	—	4	2	no	—
750	C₂×#41	—	4	2	no	—
751	C₂×#41	—	4	2	no	—
752	C₂×#41	C₂³×C₃	1	1	yes	characteristic
753	C₂×#41	C₂³×C₃	1	1	yes	characteristic
754	C₂×#41	C₂³×C₃	1	2	yes	—
755	C₂×#41	C₂³×C₃	1	2	yes	—
756	C₂×#41	C₂³×C₃	1	1	yes	characteristic
757	C₂×#41	C₂³×C₃	1	1	yes	characteristic
758	C₂×#41	C₂³×C₃	1	1	yes	characteristic
759	C₂×#41	C₂³×C₃	1	1	yes	characteristic, complemented
760	C₂×#41	C₂³×C₃	1	1	yes	characteristic, complemented
761	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
762	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
763	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
764	C₂²×D₄	—	2	4	no	—
765	C₂²×D₄	—	2	1	no	—
766	C₂²×D₄	—	2	1	no	—
767	C₂²×D₄	—	2	1	no	—
768	C₂²×D₄	—	2	1	no	—
769	C₂²×D₄	—	2	1	no	—
770	C₂²×D₄	—	2	1	no	—
771	C₂²×D₄	—	2	1	no	—
772	C₂²×D₄	—	2	1	no	—
773	C₂²×D₄	—	4	2	no	—
774	C₂²×D₄	C₃×D₄	1	1	yes	characteristic
775	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
776	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
777	C₂²×D₄	C₂³×C₃	1	2	yes	—
778	C₂²×D₄	C₂³×C₃	1	2	yes	—
779	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
780	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
781	C₂³×C₄	—	2	1	no	—
782	C₂³×C₄	—	2	1	no	—
783	C₂³×C₄	—	2	1	no	—
784	C₂³×C₄	—	2	1	no	—
785	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
786	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
787	#137	—	2	4	no	—
788	#137	—	2	8	no	—
789	#137	—	2	4	no	—
790	#137	—	4	2	no	—
791	AGL(1,ℤ/8)	—	2	4	no	—
792	AGL(1,ℤ/8)	—	2	4	no	—
793	AGL(1,ℤ/8)	—	2	4	no	—
794	AGL(1,ℤ/8)	—	2	8	no	—
795	AGL(1,ℤ/8)	—	2	8	no	—
796	AGL(1,ℤ/8)	—	2	8	no	—
797	AGL(1,ℤ/8)	—	2	4	no	—
798	AGL(1,ℤ/8)	—	4	2	no	—
799	AGL(1,ℤ/8)	C₃×D₄	1	8	yes	complemented
800	#135	—	2	8	no	—
801	#135	—	2	8	no	—
802	C₂×Q₁₆	C₂³×C₃	1	2	yes	complemented
803	C₂×Q₁₆	C₂³×C₃	1	2	yes	complemented
804	C₂×Q₁₆	C₂³×C₃	1	2	yes	complemented
805	C₂×SD₁₆	—	2	8	no	—
806	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
807	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
808	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
809	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
810	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
811	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
812	C₂×SD₁₆	C₂³×C₃	1	2	yes	complemented
813	C₂×SD₁₆	C₂³×C₃	1	2	yes	complemented
814	C₂×SD₁₆	C₂³×C₃	1	2	yes	complemented
815	C₂×D₈	—	2	8	no	—
816	C₂×D₈	C₂³×C₃	1	2	yes	—
817	C₂×D₈	C₂³×C₃	1	2	yes	—
818	C₂×D₈	C₂³×C₃	1	2	yes	—
819	C₂×D₈	C₂³×C₃	1	2	yes	—
820	C₂×D₈	C₂³×C₃	1	2	yes	—
821	C₂×D₈	C₂³×C₃	1	2	yes	—
822	C₂×M₁₆	—	2	4	no	—
823	C₂×M₁₆	—	2	4	no	—
824	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
825	C₂×M₁₆	C₂³×C₃	1	2	yes	—
826	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
827	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
828	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
829	C₂×M₁₆	C₂³×C₃	1	2	yes	complemented
830	C₂²×C₈	C₂³×C₃	1	2	yes	—
831	C₂²×C₈	C₂³×C₃	1	2	yes	complemented
832	C₄⋊Q₈	—	2	1	no	—
833	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
834	#127	—	2	1	no	—
835	#127	C₂³×C₃	1	1	yes	characteristic, complemented
836	#124	—	2	1	no	—
837	#124	—	2	1	no	—
838	#124	—	2	1	no	—
839	#124	—	2	1	no	—
840	#124	C₂³×C₃	1	2	yes	—
841	#124	C₂³×C₃	1	2	yes	—
842	#124	C₂³×C₃	1	1	yes	characteristic, complemented
843	#124	C₂³×C₃	1	1	yes	characteristic, complemented
844	#123	—	2	1	no	—
845	#123	—	2	1	no	—
846	#123	—	2	2	no	—
847	#123	—	2	2	no	—
848	#123	—	2	2	no	—
849	#123	—	2	2	no	—
850	#123	—	2	1	no	—
851	#123	—	2	1	no	—
852	#123	—	2	1	no	—
853	#123	—	2	1	no	—
854	C₂²⋊Q₈	—	2	1	no	—
855	C₂²⋊Q₈	—	2	1	no	—
856	C₂²⋊Q₈	—	2	1	no	—
857	C₂²⋊Q₈	—	2	1	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
861	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
862	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
863	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
864	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
865	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	2	1	no	—
870	#121	—	2	1	no	—
871	#121	—	2	1	no	—
872	#121	—	2	1	no	—
873	#121	—	2	1	no	—
874	#121	—	2	2	no	—
875	#121	—	2	2	no	—
876	#121	—	2	2	no	—
877	#121	—	2	2	no	—
878	#121	—	2	1	no	—
879	#121	—	2	1	no	—
880	#121	—	2	1	no	—
881	#121	—	2	1	no	—
882	#121	C₂³×C₃	1	2	yes	—
883	#121	C₂³×C₃	1	2	yes	—
884	#121	C₂³×C₃	1	1	yes	characteristic
885	#121	C₂³×C₃	1	1	yes	characteristic
886	#121	C₂³×C₃	1	1	yes	characteristic, complemented
887	#121	C₂³×C₃	1	1	yes	characteristic, complemented
888	#120	—	2	1	no	—
889	#120	—	2	1	no	—
890	#120	—	2	2	no	—
891	#120	—	2	2	no	—
892	#120	—	2	2	no	—
893	#120	—	2	2	no	—
894	#120	—	2	1	no	—
895	#120	—	2	1	no	—
896	#120	—	2	1	no	—
897	#120	—	2	1	no	—
898	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
899	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	1	no	—
906	C₄×D₄	—	2	1	no	—
907	C₄×D₄	—	2	1	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	C₃×D₄	1	1	yes	characteristic
915	C₄×D₄	C₃×D₄	1	1	yes	characteristic
916	C₄×D₄	C₃×D₄	1	1	yes	characteristic
917	C₄×D₄	C₃×D₄	1	1	yes	characteristic
918	C₄×D₄	C₂³×C₃	1	2	yes	—
919	C₄×D₄	C₂³×C₃	1	2	yes	—
920	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
921	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
922	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
923	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
924	C₄×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
925	C₄×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
926	#117	—	2	1	no	—
927	#117	C₂³×C₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	—	2	1	no	—
929	C₂×C₄⋊C₄	—	2	1	no	—
930	C₂×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	—	2	1	no	—
933	C₂×C₂²⋊C₄	—	2	1	no	—
934	C₂×C₂²⋊C₄	—	2	1	no	—
935	C₂×C₂²⋊C₄	—	2	1	no	—
936	C₂×C₂²⋊C₄	—	2	1	no	—
937	C₂×C₂²⋊C₄	—	2	2	no	—
938	C₂×C₂²⋊C₄	—	2	2	no	—
939	C₂×C₂²⋊C₄	—	2	2	no	—
940	C₂×C₂²⋊C₄	—	2	2	no	—
941	C₂×C₂²⋊C₄	—	2	1	no	—
942	C₂×C₂²⋊C₄	—	2	1	no	—
943	C₂×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
945	C₂×C₄²	—	2	1	no	—
946	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
947	#107	C₂³×C₃	1	2	yes	complemented
948	#106	C₂³×C₃	1	2	yes	complemented
949	C₄⋊C₈	C₂³×C₃	1	2	yes	complemented
950	C₄⋊C₈	C₂³×C₃	1	2	yes	complemented
951	#103	C₂³×C₃	1	2	yes	complemented
952	#103	C₂³×C₃	1	2	yes	complemented
953	#103	C₂³×C₃	1	2	yes	complemented
954	#103	C₂³×C₃	1	2	yes	complemented
955	#103	C₂³×C₃	1	2	yes	complemented
956	#102	C₂³×C₃	1	2	yes	—
957	#102	C₂³×C₃	1	2	yes	—
958	#102	C₂³×C₃	1	2	yes	—
959	#102	C₂³×C₃	1	2	yes	—
960	#102	C₂³×C₃	1	2	yes	complemented
961	#102	C₂³×C₃	1	2	yes	complemented
962	#102	C₂³×C₃	1	2	yes	complemented
963	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
964	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
965	C₂²⋊C₈	C₂³×C₃	1	2	yes	complemented
966	C₂²⋊C₈	C₂³×C₃	1	2	yes	complemented
967	#97	C₂³×C₃	1	2	yes	complemented
968	C₄×C₈	C₂³×C₃	1	2	yes	complemented
969	C₂³×C₃	—	2	2	no	—
970	C₂³×C₃	—	2	4	no	—
971	C₂³×C₃	—	2	2	no	—
972	C₂³×C₃	—	2	1	no	—
973	C₂³×C₃	—	2	2	no	—
974	C₂³×C₃	—	2	2	no	—
975	C₂³×C₃	—	2	2	no	—
976	C₂³×C₃	—	2	1	no	—
977	C₂³×C₃	—	2	1	no	—
978	C₂³×C₃	—	4	1	no	—
979	C₂³×C₃	—	4	1	no	—
980	C₂³×C₃	—	4	1	no	—
981	C₂³×C₃	—	4	2	no	—
982	C₂³×C₃	—	4	2	no	—
983	C₂³×C₃	—	4	4	no	—
984	C₂³×C₃	—	4	4	no	—
985	C₂³×C₃	—	4	2	no	—
986	C₂³×C₃	—	4	2	no	—
987	C₂³×C₃	—	4	2	no	—
988	C₂³×C₃	—	4	2	no	—
989	C₂³×C₃	—	4	2	no	—
990	C₂³×C₃	—	4	4	no	—
991	C₂³×C₃	—	4	2	no	—
992	C₂³×C₃	—	4	2	no	—
993	C₂³×C₃	—	4	4	no	—
994	C₂³×C₃	—	8	1	no	—
995	C₂³×C₃	—	8	1	no	—
996	C₂³×C₃	—	8	2	no	—
997	C₂³×C₃	—	8	2	no	—
998	C₂³×C₃	—	8	16	no	—
999	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1000	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1001	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1002	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1003	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1004	C₃×Q₈	—	2	1	no	—
1005	C₃×Q₈	—	2	1	no	—
1006	C₃×Q₈	—	2	1	no	—
1007	C₃×Q₈	—	2	2	no	—
1008	C₃×Q₈	—	2	1	no	—
1009	C₃×Q₈	—	2	2	no	—
1010	C₃×Q₈	—	2	1	no	—
1011	C₃×Q₈	—	4	2	no	—
1012	C₃×Q₈	—	4	2	no	—
1013	C₃×Q₈	—	4	2	no	—
1014	C₃×Q₈	C₂²×D₄	1	2	yes	—
1015	C₃×D₄	—	2	4	no	—
1016	C₃×D₄	—	2	2	no	—
1017	C₃×D₄	—	2	2	no	—
1018	C₃×D₄	—	2	4	no	—
1019	C₃×D₄	—	2	1	no	—
1020	C₃×D₄	—	2	2	no	—
1021	C₃×D₄	—	2	1	no	—
1022	C₃×D₄	—	2	2	no	—
1023	C₃×D₄	—	2	1	no	—
1024	C₃×D₄	—	2	1	no	—
1025	C₃×D₄	—	2	2	no	—
1026	C₃×D₄	—	2	1	no	—
1027	C₃×D₄	—	4	1	no	—
1028	C₃×D₄	—	4	1	no	—
1029	C₃×D₄	—	4	4	no	—
1030	C₃×D₄	—	4	4	no	—
1031	C₃×D₄	—	4	2	no	—
1032	C₃×D₄	—	4	2	no	—
1033	C₃×D₄	—	4	2	no	—
1034	C₃×D₄	—	4	2	no	—
1035	C₃×D₄	—	4	2	no	—
1036	C₃×D₄	—	4	4	no	—
1037	C₃×D₄	—	4	2	no	—
1038	C₃×D₄	—	4	4	no	—
1039	C₃×D₄	—	4	2	no	—
1040	C₃×D₄	—	4	2	no	—
1041	C₃×D₄	—	4	2	no	—
1042	C₃×D₄	—	4	2	no	—
1043	C₃×D₄	—	4	2	no	—
1044	C₃×D₄	—	4	2	no	—
1045	C₃×D₄	—	8	1	no	—
1046	C₃×D₄	—	8	1	no	—
1047	C₃×D₄	—	8	1	no	—
1048	C₃×D₄	—	8	2	no	—
1049	C₃×D₄	—	8	2	no	—
1050	C₃×D₄	C₂²×D₄	1	2	yes	—
1051	C₃×D₄	C₂²×D₄	1	4	yes	—
1052	C₂×C₃×C₄	—	2	2	no	—
1053	C₂×C₃×C₄	—	2	2	no	—
1054	C₂×C₃×C₄	—	2	1	no	—
1055	C₂×C₃×C₄	—	2	2	no	—
1056	C₂×C₃×C₄	—	2	2	no	—
1057	C₂×C₃×C₄	—	2	2	no	—
1058	C₂×C₃×C₄	—	2	2	no	—
1059	C₂×C₃×C₄	—	2	4	no	—
1060	C₂×C₃×C₄	—	2	1	no	—
1061	C₂×C₃×C₄	—	2	1	no	—
1062	C₂×C₃×C₄	—	2	1	no	—
1063	C₂×C₃×C₄	—	2	1	no	—
1064	C₂×C₃×C₄	—	2	1	no	—
1065	C₂×C₃×C₄	—	2	1	no	—
1066	C₂×C₃×C₄	—	2	1	no	—
1067	C₂×C₃×C₄	—	2	1	no	—
1068	C₂×C₃×C₄	—	2	1	no	—
1069	C₂×C₃×C₄	—	2	1	no	—
1070	C₂×C₃×C₄	—	2	2	no	—
1071	C₂×C₃×C₄	—	2	2	no	—
1072	C₂×C₃×C₄	—	2	1	no	—
1073	C₂×C₃×C₄	—	2	1	no	—
1074	C₂×C₃×C₄	—	4	1	no	—
1075	C₂×C₃×C₄	—	4	1	no	—
1076	C₂×C₃×C₄	—	4	2	no	—
1077	C₂×C₃×C₄	—	4	2	no	—
1078	C₂×C₃×C₄	—	4	2	no	—
1079	C₂×C₃×C₄	—	4	2	no	—
1080	C₂×C₃×C₄	—	4	2	no	—
1081	C₂×C₃×C₄	—	4	4	no	—
1082	C₂×C₃×C₄	—	4	2	no	—
1083	C₂×C₃×C₄	—	4	4	no	—
1084	C₂×C₃×C₄	—	4	2	no	—
1085	C₂×C₃×C₄	—	4	2	no	—
1086	C₂×C₃×C₄	—	4	2	no	—
1087	C₂×C₃×C₄	—	4	2	no	—
1088	C₂×C₃×C₄	—	4	2	no	—
1089	C₂×C₃×C₄	—	8	1	no	—
1090	C₂×C₃×C₄	—	8	2	no	—
1091	C₂×C₃×C₄	—	8	2	no	—
1092	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1093	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1094	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1095	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1096	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1097	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1098	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1099	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1100	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1101	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1102	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1103	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1104	C₃×C₈	—	2	2	no	—
1105	C₃×C₈	—	2	2	no	—
1106	C₃×C₈	—	2	2	no	—
1107	C₃×C₈	C₂²×D₄	1	4	yes	—
1108	C₂⁴	—	2	1	no	—
1109	C₂⁴	—	2	1	no	—
1110	C₂⁴	—	2	2	no	—
1111	C₂⁴	—	2	2	no	—
1112	C₂⁴	—	2	1	no	—
1113	C₂⁴	—	2	1	no	—
1114	C₂⁴	—	4	4	no	—
1115	C₂⁴	—	4	4	no	—
1116	C₂⁴	—	8	2	no	—
1117	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
1118	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
1119	#41	—	2	2	no	—
1120	#41	—	2	2	no	—
1121	#41	—	2	2	no	—
1122	#41	—	2	4	no	—
1123	#41	—	2	2	no	—
1124	#41	—	2	2	no	—
1125	#41	—	2	4	no	—
1126	#41	—	2	2	no	—
1127	#41	—	2	2	no	—
1128	#41	—	2	2	no	—
1129	#41	—	2	2	no	—
1130	#41	—	4	4	no	—
1131	#41	—	4	4	no	—
1132	#41	—	4	1	no	—
1133	#41	—	4	1	no	—
1134	#41	—	4	2	no	—
1135	#41	—	4	2	no	—
1136	#41	—	4	1	no	—
1137	#41	—	4	1	no	—
1138	#41	—	4	4	no	—
1139	#41	—	4	4	no	—
1140	#41	—	4	4	no	—
1141	#41	—	4	4	no	—
1142	#41	C₂×C₃×D₄	1	4	yes	—
1143	C₂×Q₈	—	2	1	no	—
1144	C₂×Q₈	—	2	1	no	—
1145	C₂×Q₈	—	2	1	no	—
1146	C₂×Q₈	—	2	2	no	—
1147	C₂×Q₈	—	2	2	no	—
1148	C₂×Q₈	—	2	2	no	—
1149	C₂×Q₈	—	2	2	no	—
1150	C₂×Q₈	—	4	1	no	—
1151	C₂×Q₈	—	4	1	no	—
1152	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1153	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1154	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1155	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1156	C₂×D₄	—	2	1	no	—
1157	C₂×D₄	—	2	2	no	—
1158	C₂×D₄	—	2	4	no	—
1159	C₂×D₄	—	2	4	no	—
1160	C₂×D₄	—	2	2	no	—
1161	C₂×D₄	—	2	1	no	—
1162	C₂×D₄	—	2	1	no	—
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	1	no	—
1166	C₂×D₄	—	2	1	no	—
1167	C₂×D₄	—	2	1	no	—
1168	C₂×D₄	—	2	1	no	—
1169	C₂×D₄	—	2	1	no	—
1170	C₂×D₄	—	2	1	no	—
1171	C₂×D₄	—	2	1	no	—
1172	C₂×D₄	—	2	1	no	—
1173	C₂×D₄	—	2	2	no	—
1174	C₂×D₄	—	2	2	no	—
1175	C₂×D₄	—	2	1	no	—
1176	C₂×D₄	—	2	2	no	—
1177	C₂×D₄	—	2	1	no	—
1178	C₂×D₄	—	2	1	no	—
1179	C₂×D₄	—	2	1	no	—
1180	C₂×D₄	—	2	2	no	—
1181	C₂×D₄	—	2	2	no	—
1182	C₂×D₄	—	2	1	no	—
1183	C₂×D₄	—	2	1	no	—
1184	C₂×D₄	—	2	2	no	—
1185	C₂×D₄	—	2	2	no	—
1186	C₂×D₄	—	4	2	no	—
1187	C₂×D₄	—	4	2	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	4	no	—
1191	C₂×D₄	—	4	4	no	—
1192	C₂×D₄	—	4	4	no	—
1193	C₂×D₄	—	4	2	no	—
1194	C₂×D₄	—	4	4	no	—
1195	C₂×D₄	—	4	4	no	—
1196	C₂×D₄	—	4	4	no	—
1197	C₂×D₄	—	4	4	no	—
1198	C₂×D₄	—	8	2	no	—
1199	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1200	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1201	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1202	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1203	C₂×D₄	C₂×C₃×D₄	1	4	yes	complemented
1204	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1205	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1206	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1207	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1208	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1209	C₂²×C₄	—	2	1	no	—
1210	C₂²×C₄	—	2	2	no	—
1211	C₂²×C₄	—	2	2	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	2	no	—
1214	C₂²×C₄	—	2	1	no	—
1215	C₂²×C₄	—	2	1	no	—
1216	C₂²×C₄	—	2	1	no	—
1217	C₂²×C₄	—	2	1	no	—
1218	C₂²×C₄	—	2	1	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	1	no	—
1222	C₂²×C₄	—	2	1	no	—
1223	C₂²×C₄	—	2	1	no	—
1224	C₂²×C₄	—	2	1	no	—
1225	C₂²×C₄	—	2	1	no	—
1226	C₂²×C₄	—	2	1	no	—
1227	C₂²×C₄	—	2	1	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	2	2	no	—
1230	C₂²×C₄	—	4	4	no	—
1231	C₂²×C₄	—	4	4	no	—
1232	C₂²×C₄	—	4	4	no	—
1233	C₂²×C₄	—	8	2	no	—
1234	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1235	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1236	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1237	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1238	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1239	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1240	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1241	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1247	Q₁₆	—	2	4	no	—
1248	Q₁₆	—	2	4	no	—
1249	Q₁₆	—	4	2	no	—
1250	SD₁₆	—	2	4	no	—
1251	SD₁₆	—	2	4	no	—
1252	SD₁₆	—	2	4	no	—
1253	SD₁₆	—	2	4	no	—
1254	SD₁₆	—	2	4	no	—
1255	SD₁₆	—	2	4	no	—
1256	SD₁₆	—	4	2	no	—
1257	SD₁₆	—	4	2	no	—
1258	SD₁₆	C₂×C₃×D₄	1	8	yes	complemented
1259	D₈	—	2	4	no	—
1260	D₈	—	2	4	no	—
1261	D₈	—	2	4	no	—
1262	D₈	—	2	4	no	—
1263	D₈	—	4	2	no	—
1264	D₈	C₂×C₃×D₄	1	8	yes	complemented
1265	M₁₆	—	2	2	no	—
1266	M₁₆	—	2	2	no	—
1267	M₁₆	—	2	2	no	—
1268	M₁₆	—	2	4	no	—
1269	M₁₆	—	2	4	no	—
1270	M₁₆	C₂×C₃×D₄	1	4	yes	complemented
1271	C₂×C₈	—	2	4	no	—
1272	C₂×C₈	—	2	4	no	—
1273	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1274	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1275	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1276	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1277	C₄⋊C₄	—	2	1	no	—
1278	C₄⋊C₄	—	2	1	no	—
1279	C₄⋊C₄	—	2	1	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	1	no	—
1283	C₄⋊C₄	—	2	1	no	—
1284	C₄⋊C₄	—	2	1	no	—
1285	C₄⋊C₄	—	2	1	no	—
1286	C₄⋊C₄	—	2	1	no	—
1287	C₄⋊C₄	—	2	1	no	—
1288	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1289	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1290	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1291	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1292	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1293	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1294	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	1	no	—
1298	C₂²⋊C₄	—	2	1	no	—
1299	C₂²⋊C₄	—	2	1	no	—
1300	C₂²⋊C₄	—	2	1	no	—
1301	C₂²⋊C₄	—	2	1	no	—
1302	C₂²⋊C₄	—	2	2	no	—
1303	C₂²⋊C₄	—	2	2	no	—
1304	C₂²⋊C₄	—	2	2	no	—
1305	C₂²⋊C₄	—	2	2	no	—
1306	C₂²⋊C₄	—	2	1	no	—
1307	C₂²⋊C₄	—	2	1	no	—
1308	C₂²⋊C₄	—	2	1	no	—
1309	C₂²⋊C₄	—	2	1	no	—
1310	C₂²⋊C₄	—	2	2	no	—
1311	C₂²⋊C₄	—	2	2	no	—
1312	C₂²⋊C₄	—	2	2	no	—
1313	C₂²⋊C₄	—	2	2	no	—
1314	C₂²⋊C₄	—	2	1	no	—
1315	C₂²⋊C₄	—	2	1	no	—
1316	C₂²⋊C₄	—	2	1	no	—
1317	C₂²⋊C₄	—	2	1	no	—
1318	C₂²⋊C₄	—	2	1	no	—
1319	C₂²⋊C₄	—	2	1	no	—
1320	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1321	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1322	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1323	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1324	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1325	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1326	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1327	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1328	C₄²	—	2	1	no	—
1329	C₄²	—	2	1	no	—
1330	C₄²	—	2	1	no	—
1331	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1332	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1333	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1334	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1335	C₂²×C₃	—	2	1	no	—
1336	C₂²×C₃	—	2	1	no	—
1337	C₂²×C₃	—	2	1	no	—
1338	C₂²×C₃	—	2	1	no	—
1339	C₂²×C₃	—	2	1	no	—
1340	C₂²×C₃	—	2	1	no	—
1341	C₂²×C₃	—	2	1	no	—
1342	C₂²×C₃	—	2	1	no	—
1343	C₂²×C₃	—	2	1	no	—
1344	C₂²×C₃	—	2	1	no	—
1345	C₂²×C₃	—	2	2	no	—
1346	C₂²×C₃	—	2	4	no	—
1347	C₂²×C₃	—	2	1	no	—
1348	C₂²×C₃	—	2	1	no	—
1349	C₂²×C₃	—	2	1	no	—
1350	C₂²×C₃	—	4	4	no	—
1351	C₂²×C₃	—	4	8	no	—
1352	C₂²×C₃	—	4	2	no	—
1353	C₂²×C₃	—	4	1	no	—
1354	C₂²×C₃	—	4	1	no	—
1355	C₂²×C₃	—	4	2	no	—
1356	C₂²×C₃	—	4	2	no	—
1357	C₂²×C₃	—	4	1	no	—
1358	C₂²×C₃	—	4	1	no	—
1359	C₂²×C₃	—	4	1	no	—
1360	C₂²×C₃	—	4	1	no	—
1361	C₂²×C₃	—	4	2	no	—
1362	C₂²×C₃	—	4	1	no	—
1363	C₂²×C₃	—	4	1	no	—
1364	C₂²×C₃	—	4	2	no	—
1365	C₂²×C₃	—	8	2	no	—
1366	C₂²×C₃	—	8	4	no	—
1367	C₂²×C₃	—	8	8	no	—
1368	C₂²×C₃	—	8	4	no	—
1369	C₂²×C₃	—	8	4	no	—
1370	C₂²×C₃	—	8	8	no	—
1371	C₂²×C₃	D₄²	1	2	yes	—
1372	C₂²×C₃	#575	1	2	yes	complemented
1373	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1374	C₃×C₄	—	2	1	no	—
1375	C₃×C₄	—	2	1	no	—
1376	C₃×C₄	—	2	1	no	—
1377	C₃×C₄	—	2	1	no	—
1378	C₃×C₄	—	2	1	no	—
1379	C₃×C₄	—	2	1	no	—
1380	C₃×C₄	—	2	2	no	—
1381	C₃×C₄	—	2	1	no	—
1382	C₃×C₄	—	2	1	no	—
1383	C₃×C₄	—	4	2	no	—
1384	C₃×C₄	—	4	1	no	—
1385	C₃×C₄	—	4	2	no	—
1386	C₃×C₄	—	4	1	no	—
1387	C₃×C₄	—	4	1	no	—
1388	C₃×C₄	—	4	1	no	—
1389	C₃×C₄	D₄²	1	2	yes	—
1390	C₃×C₄	C₂³×D₄	1	1	yes	characteristic
1391	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1392	C₂³	—	2	2	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	2	no	—
1395	C₂³	—	2	2	no	—
1396	C₂³	—	2	4	no	—
1397	C₂³	—	2	2	no	—
1398	C₂³	—	2	2	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	4	1	no	—
1402	C₂³	—	4	1	no	—
1403	C₂³	—	4	1	no	—
1404	C₂³	—	4	2	no	—
1405	C₂³	—	4	2	no	—
1406	C₂³	—	4	4	no	—
1407	C₂³	—	4	4	no	—
1408	C₂³	—	4	2	no	—
1409	C₂³	—	4	2	no	—
1410	C₂³	—	4	2	no	—
1411	C₂³	—	4	2	no	—
1412	C₂³	—	4	2	no	—
1413	C₂³	—	4	4	no	—
1414	C₂³	—	4	2	no	—
1415	C₂³	—	4	4	no	—
1416	C₂³	—	4	2	no	—
1417	C₂³	—	8	2	no	—
1418	C₂³	—	8	2	no	—
1419	C₂³	—	8	1	no	—
1420	C₂³	—	8	1	no	—
1421	C₂³	—	8	16	no	—
1422	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1423	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1424	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1425	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1426	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1427	Q₈	—	2	1	no	—
1428	Q₈	—	2	1	no	—
1429	Q₈	—	2	1	no	—
1430	Q₈	—	2	2	no	—
1431	Q₈	—	2	1	no	—
1432	Q₈	—	2	2	no	—
1433	Q₈	—	2	1	no	—
1434	Q₈	—	4	2	no	—
1435	Q₈	—	4	2	no	—
1436	Q₈	—	4	2	no	—
1437	Q₈	C₂²×C₃×D₄	1	2	yes	—
1438	D₄	—	2	2	no	—
1439	D₄	—	2	2	no	—
1440	D₄	—	2	4	no	—
1441	D₄	—	2	1	no	—
1442	D₄	—	2	2	no	—
1443	D₄	—	2	1	no	—
1444	D₄	—	2	2	no	—
1445	D₄	—	2	1	no	—
1446	D₄	—	2	1	no	—
1447	D₄	—	2	2	no	—
1448	D₄	—	2	1	no	—
1449	D₄	—	2	4	no	—
1450	D₄	—	4	1	no	—
1451	D₄	—	4	1	no	—
1452	D₄	—	4	4	no	—
1453	D₄	—	4	4	no	—
1454	D₄	—	4	2	no	—
1455	D₄	—	4	2	no	—
1456	D₄	—	4	2	no	—
1457	D₄	—	4	2	no	—
1458	D₄	—	4	2	no	—
1459	D₄	—	4	4	no	—
1460	D₄	—	4	2	no	—
1461	D₄	—	4	4	no	—
1462	D₄	—	4	2	no	—
1463	D₄	—	4	2	no	—
1464	D₄	—	4	2	no	—
1465	D₄	—	4	2	no	—
1466	D₄	—	4	2	no	—
1467	D₄	—	4	2	no	—
1468	D₄	—	8	1	no	—
1469	D₄	—	8	2	no	—
1470	D₄	—	8	2	no	—
1471	D₄	—	8	1	no	—
1472	D₄	—	8	1	no	—
1473	D₄	C₂²×C₃×D₄	1	2	yes	—
1474	D₄	C₂²×C₃×D₄	1	4	yes	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	2	no	—
1477	C₂×C₄	—	2	2	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	2	no	—
1487	C₂×C₄	—	2	2	no	—
1488	C₂×C₄	—	2	2	no	—
1489	C₂×C₄	—	2	2	no	—
1490	C₂×C₄	—	2	4	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	2	no	—
1494	C₂×C₄	—	2	2	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	4	1	no	—
1498	C₂×C₄	—	4	1	no	—
1499	C₂×C₄	—	4	2	no	—
1500	C₂×C₄	—	4	2	no	—
1501	C₂×C₄	—	4	2	no	—
1502	C₂×C₄	—	4	2	no	—
1503	C₂×C₄	—	4	2	no	—
1504	C₂×C₄	—	4	4	no	—
1505	C₂×C₄	—	4	2	no	—
1506	C₂×C₄	—	4	4	no	—
1507	C₂×C₄	—	4	2	no	—
1508	C₂×C₄	—	4	2	no	—
1509	C₂×C₄	—	4	2	no	—
1510	C₂×C₄	—	4	2	no	—
1511	C₂×C₄	—	4	2	no	—
1512	C₂×C₄	—	8	2	no	—
1513	C₂×C₄	—	8	2	no	—
1514	C₂×C₄	—	8	1	no	—
1515	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1516	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1517	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1518	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1519	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1520	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1521	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1522	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1523	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1524	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1525	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1526	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1527	C₈	—	2	2	no	—
1528	C₈	—	2	2	no	—
1529	C₈	—	2	2	no	—
1530	C₈	C₂²×C₃×D₄	1	4	yes	—
1531	C₂×C₃	—	2	2	no	—
1532	C₂×C₃	—	2	2	no	—
1533	C₂×C₃	—	4	1	no	—
1534	C₂×C₃	—	4	1	no	—
1535	C₂×C₃	—	4	1	no	—
1536	C₂×C₃	—	4	4	no	—
1537	C₂×C₃	—	4	2	no	—
1538	C₂×C₃	—	8	1	no	—
1539	C₂×C₃	—	8	1	no	—
1540	C₂×C₃	—	8	2	no	—
1541	C₂×C₃	C₂×D₄²	1	1	yes	characteristic
1542	C₂×C₃	C₂×#575	1	1	yes	characteristic
1543	C₂×C₃	#3585	1	1	yes	characteristic
1544	C₂²	—	2	1	no	—
1545	C₂²	—	2	1	no	—
1546	C₂²	—	2	1	no	—
1547	C₂²	—	2	1	no	—
1548	C₂²	—	2	1	no	—
1549	C₂²	—	2	1	no	—
1550	C₂²	—	2	1	no	—
1551	C₂²	—	2	2	no	—
1552	C₂²	—	2	4	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	2	1	no	—
1558	C₂²	—	2	1	no	—
1559	C₂²	—	4	4	no	—
1560	C₂²	—	4	8	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	2	no	—
1563	C₂²	—	4	2	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	2	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	2	no	—
1571	C₂²	—	4	2	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	8	2	no	—
1575	C₂²	—	8	8	no	—
1576	C₂²	—	8	4	no	—
1577	C₂²	—	8	4	no	—
1578	C₂²	—	8	8	no	—
1579	C₂²	—	8	4	no	—
1580	C₂²	C₃×D₄²	1	2	yes	—
1581	C₂²	C₃×#575	1	2	yes	complemented
1582	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	2	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	4	2	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	2	no	—
1597	C₄	—	4	1	no	—
1598	C₄	C₃×D₄²	1	2	yes	—
1599	C₄	C₂³×C₃×D₄	1	1	yes	characteristic
1600	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1601	C₃	#61066	1	1	yes	characteristic, direct product factor, Sylow
1602	C₂	—	2	2	no	—
1603	C₂	—	2	2	no	—
1604	C₂	—	4	1	no	—
1605	C₂	—	4	1	no	—
1606	C₂	—	4	1	no	—
1607	C₂	—	4	4	no	—
1608	C₂	—	4	2	no	—
1609	C₂	—	8	2	no	—
1610	C₂	—	8	1	no	—
1611	C₂	—	8	1	no	—
1612	C₂	C₂×C₃×D₄²	1	1	yes	characteristic
1613	C₂	C₂×C₃×#575	1	1	yes	characteristic
1614	C₂	C₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₂×C₃×C₄×D₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#575	C₂	semidirect
2. C₂²×C₃×AGL(1,ℤ/8)	C₂	semidirect
3. C₃×D₄×#41	C₂	semidirect
4. C₂×C₃×#546	C₂	semidirect
5. C₃×#3282	C₂	semidirect
6. C₃×#3280	C₂	semidirect
7. C₃×#3275	C₂	semidirect
8. C₃×#3273	C₂	semidirect
9. C₃×#3268	C₂	semidirect
10. C₃×#3267	C₂	semidirect
11. C₃×#3266	C₂	semidirect
12. C₃×#3264	C₂	semidirect
13. C₃×#3153	C₂	semidirect
14. C₃×#3056	C₂	semidirect
15. C₃×#3055	C₂	semidirect
16. C₃×#3040	C₂	semidirect
17. C₃×#3036	C₂	semidirect
18. C₃×#3007	C₂	semidirect
19. C₃×#3006	C₂	semidirect
20. C₃×#3005	C₂	semidirect
21. C₃×#3003	C₂	semidirect
22. C₃×C₄×AGL(1,ℤ/8)	C₂	semidirect
23. C₃×D₄×M₁₆	C₂	semidirect
24. #61066	C₃	direct (N × H)
26. C₂²×C₃×#41	C₂²	semidirect
27. C₂²×C₃×#41	C₂²	semidirect
28. C₂³×C₃×D₄	C₂²	semidirect
30. C₂×C₃×#137	C₂²	semidirect
31. C₂×C₃×#137	C₂²	semidirect
32. C₂×C₃×#137	C₂²	semidirect
33. C₂×C₃×#137	C₂²	semidirect
37. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
39. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
40. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
41. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
42. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
43. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
44. C₂×C₃×#135	C₂²	semidirect
45. C₂×C₃×#135	C₂²	semidirect
46. C₂²×C₃×SD₁₆	C₂²	semidirect
47. C₂²×C₃×D₈	C₂²	semidirect
48. C₂²×C₃×M₁₆	C₂²	semidirect
49. C₂²×C₃×M₁₆	C₂²	semidirect
50. C₃×#550	C₂²	semidirect
51. C₃×D₄×Q₈	C₂²	semidirect
52. C₃×#548	C₂²	semidirect
53. C₃×#548	C₂²	semidirect
55. C₃×#547	C₂²	semidirect
63. C₃×#546	C₂²	semidirect
64. C₃×#546	C₂²	semidirect
65. C₃×#546	C₂²	semidirect
66. C₃×#546	C₂²	semidirect
67. C₃×#546	C₂²	semidirect
69. C₃×D₄²	C₂²	semidirect
71. C₃×#532	C₂²	semidirect
72. C₂×C₃×#124	C₂²	semidirect
76. C₃×#525	C₂²	semidirect
78. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
80. C₂×C₃×#121	C₂²	semidirect
82. C₃×C₄×#41	C₂²	semidirect
85. C₂×C₃×C₄×D₄	C₂²	semidirect
87. C₃×#497	C₂²	semidirect
88. C₃×#496	C₂²	semidirect
89. C₃×#495	C₂²	semidirect
90. C₃×#495	C₂²	semidirect
91. C₃×#470	C₂²	semidirect
92. C₃×#469	C₂²	semidirect
93. C₃×#468	C₂²	semidirect
94. C₃×#468	C₂²	semidirect
95. C₃×#467	C₂²	semidirect
96. C₃×#466	C₂²	semidirect
97. C₃×#465	C₂²	semidirect
98. C₃×#465	C₂²	semidirect
99. C₃×#464	C₂²	semidirect
100. C₃×#464	C₂²	semidirect
101. C₃×#463	C₂²	semidirect
102. C₃×#463	C₂²	semidirect
103. C₃×#463	C₂²	semidirect
104. C₃×#463	C₂²	semidirect
105. C₃×#461	C₂²	semidirect
106. C₃×#459	C₂²	semidirect
107. C₃×#452	C₂²	semidirect
108. C₃×#452	C₂²	semidirect
109. C₃×#452	C₂²	semidirect
110. C₃×#452	C₂²	semidirect
111. C₃×#451	C₂²	semidirect
112. C₃×#450	C₂²	semidirect
113. C₃×#450	C₂²	semidirect
114. C₃×#450	C₂²	semidirect
115. C₃×#449	C₂²	semidirect
116. C₃×#449	C₂²	semidirect
117. C₃×#449	C₂²	semidirect
118. C₃×#449	C₂²	semidirect
119. C₃×#448	C₂²	semidirect
120. C₃×#447	C₂²	semidirect
121. C₃×#447	C₂²	semidirect
122. C₃×#447	C₂²	semidirect
123. C₃×#442	C₂²	semidirect
124. C₃×#440	C₂²	semidirect
125. C₃×C₄×SD₁₆	C₂²	semidirect
126. C₃×C₄×D₈	C₂²	semidirect
127. C₃×#436	C₂²	semidirect
128. C₃×#435	C₂²	semidirect
129. C₃×#435	C₂²	semidirect
130. C₃×C₈×D₄	C₂²	semidirect
131. C₃×#428	C₂²	semidirect
132. C₃×#423	C₂²	semidirect
133. C₃×#419	C₂²	semidirect
134. C₃×#418	C₂²	semidirect
135. C₃×#418	C₂²	semidirect
136. C₃×#417	C₂²	semidirect
137. C₃×#417	C₂²	semidirect
138. C₃×#417	C₂²	semidirect
139. C₃×#407	C₂²	semidirect
140. C₃×#407	C₂²	semidirect
141. C₃×C₄×M₁₆	C₂²	semidirect
142. C₂×#575	C₂×C₃	semidirect
143. C₂²×AGL(1,ℤ/8)	C₂×C₃	semidirect
144. D₄×#41	C₂×C₃	semidirect
145. C₂×#546	C₂×C₃	semidirect
146. #3282	C₂×C₃	semidirect
147. #3280	C₂×C₃	semidirect
148. #3275	C₂×C₃	semidirect
149. #3273	C₂×C₃	semidirect
150. #3268	C₂×C₃	semidirect
151. #3267	C₂×C₃	semidirect
152. #3266	C₂×C₃	semidirect
153. #3264	C₂×C₃	semidirect
154. #3153	C₂×C₃	semidirect
155. #3056	C₂×C₃	semidirect
156. #3055	C₂×C₃	semidirect
157. #3040	C₂×C₃	semidirect
158. #3036	C₂×C₃	semidirect
159. #3007	C₂×C₃	semidirect
160. #3006	C₂×C₃	semidirect
161. #3005	C₂×C₃	semidirect
162. #3003	C₂×C₃	semidirect
163. C₄×AGL(1,ℤ/8)	C₂×C₃	semidirect
164. D₄×M₁₆	C₂×C₃	semidirect
185. C₂×C₃×#41	C₂³	semidirect
186. C₂×C₃×#41	C₂³	semidirect
189. C₂²×C₃×Q₈	C₂³	semidirect
206. C₂²×C₃×D₄	C₂³	semidirect
225. C₃×AGL(1,ℤ/8)	D₄	semidirect
228. C₂×C₃×Q₁₆	C₂³	semidirect
229. C₂×C₃×Q₁₆	C₂³	semidirect
230. C₂×C₃×Q₁₆	C₂³	semidirect
238. C₂×C₃×SD₁₆	C₂³	semidirect
239. C₂×C₃×SD₁₆	C₂³	semidirect
240. C₂×C₃×SD₁₆	C₂³	semidirect
255. C₂×C₃×M₁₆	C₂³	semidirect
257. C₂²×C₃×C₈	C₂³	semidirect
259. C₃×C₄⋊Q₈	C₂³	semidirect
261. C₃×#127	C₂³	semidirect
268. C₃×#124	C₂³	semidirect
269. C₃×#124	C₂³	semidirect
290. C₃×C₂²⋊Q₈	C₂³	semidirect
291. C₃×C₂²⋊Q₈	C₂³	semidirect
312. C₃×#121	C₂³	semidirect
313. C₃×#121	C₂³	semidirect
324. C₃×C₄×Q₈	C₂³	semidirect
325. C₃×C₄×Q₈	C₂³	semidirect
350. C₃×C₄×D₄	C₂³	semidirect
351. C₃×C₄×D₄	C₂³	semidirect
373. C₃×#107	C₂³	semidirect
374. C₃×#106	C₂³	semidirect
375. C₃×C₄⋊C₈	C₂³	semidirect
376. C₃×C₄⋊C₈	C₂³	semidirect
377. C₃×#103	C₂³	semidirect
378. C₃×#103	C₂³	semidirect
379. C₃×#103	C₂³	semidirect
380. C₃×#103	C₂³	semidirect
381. C₃×#103	C₂³	semidirect
386. C₃×#102	C₂³	semidirect
387. C₃×#102	C₂³	semidirect
388. C₃×#102	C₂³	semidirect
391. C₃×C₂²⋊C₈	C₂³	semidirect
392. C₃×C₂²⋊C₈	C₂³	semidirect
393. C₃×#97	C₂³	semidirect
394. C₃×C₄×C₈	C₂³	semidirect
396. C₂²×#41	C₂²×C₃	semidirect
397. C₂²×#41	C₂²×C₃	semidirect
398. C₂³×D₄	C₂²×C₃	semidirect
400. C₂×#137	C₂²×C₃	semidirect
401. C₂×#137	C₂²×C₃	semidirect
402. C₂×#137	C₂²×C₃	semidirect
403. C₂×#137	C₂²×C₃	semidirect
407. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
408. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
409. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
410. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
411. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
412. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
413. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
414. C₂×#135	C₂²×C₃	semidirect
415. C₂×#135	C₂²×C₃	semidirect
416. C₂²×SD₁₆	C₂²×C₃	semidirect
417. C₂²×D₈	C₂²×C₃	semidirect
418. C₂²×M₁₆	C₂²×C₃	semidirect
419. C₂²×M₁₆	C₂²×C₃	semidirect
420. #550	C₂²×C₃	semidirect
421. D₄×Q₈	C₂²×C₃	semidirect
422. #548	C₂²×C₃	semidirect
423. #548	C₂²×C₃	semidirect
425. #547	C₂²×C₃	semidirect
433. #546	C₂²×C₃	semidirect
434. #546	C₂²×C₃	semidirect
435. #546	C₂²×C₃	semidirect
436. #546	C₂²×C₃	semidirect
437. #546	C₂²×C₃	semidirect
439. D₄²	C₂²×C₃	semidirect
441. #532	C₂²×C₃	semidirect
442. C₂×#124	C₂²×C₃	semidirect
446. #525	C₂²×C₃	semidirect
448. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
450. C₂×#121	C₂²×C₃	semidirect
452. C₄×#41	C₂²×C₃	semidirect
455. C₂×C₄×D₄	C₂²×C₃	semidirect
457. #497	C₂²×C₃	semidirect
458. #496	C₂²×C₃	semidirect
459. #495	C₂²×C₃	semidirect
460. #495	C₂²×C₃	semidirect
461. #470	C₂²×C₃	semidirect
462. #469	C₂²×C₃	semidirect
463. #468	C₂²×C₃	semidirect
464. #468	C₂²×C₃	semidirect
465. #467	C₂²×C₃	semidirect
466. #466	C₂²×C₃	semidirect
467. #465	C₂²×C₃	semidirect
468. #465	C₂²×C₃	semidirect
469. #464	C₂²×C₃	semidirect
470. #464	C₂²×C₃	semidirect
471. #463	C₂²×C₃	semidirect
472. #463	C₂²×C₃	semidirect
473. #463	C₂²×C₃	semidirect
474. #463	C₂²×C₃	semidirect
475. #461	C₂²×C₃	semidirect
476. #459	C₂²×C₃	semidirect
477. #452	C₂²×C₃	semidirect
478. #452	C₂²×C₃	semidirect
479. #452	C₂²×C₃	semidirect
480. #452	C₂²×C₃	semidirect
481. #451	C₂²×C₃	semidirect
482. #450	C₂²×C₃	semidirect
483. #450	C₂²×C₃	semidirect
484. #450	C₂²×C₃	semidirect
485. #449	C₂²×C₃	semidirect
486. #449	C₂²×C₃	semidirect
487. #449	C₂²×C₃	semidirect
488. #449	C₂²×C₃	semidirect
489. #448	C₂²×C₃	semidirect
490. #447	C₂²×C₃	semidirect
491. #447	C₂²×C₃	semidirect
492. #447	C₂²×C₃	semidirect
493. #442	C₂²×C₃	semidirect
494. #440	C₂²×C₃	semidirect
495. C₄×SD₁₆	C₂²×C₃	semidirect
496. C₄×D₈	C₂²×C₃	semidirect
497. #436	C₂²×C₃	semidirect
498. #435	C₂²×C₃	semidirect
499. #435	C₂²×C₃	semidirect
500. C₈×D₄	C₂²×C₃	semidirect
501. #428	C₂²×C₃	semidirect
502. #423	C₂²×C₃	semidirect
503. #419	C₂²×C₃	semidirect
504. #418	C₂²×C₃	semidirect
505. #418	C₂²×C₃	semidirect
506. #417	C₂²×C₃	semidirect
507. #417	C₂²×C₃	semidirect
508. #417	C₂²×C₃	semidirect
509. #407	C₂²×C₃	semidirect
510. #407	C₂²×C₃	semidirect
511. C₄×M₁₆	C₂²×C₃	semidirect
607. C₂×C₃×D₄	C₂×D₄	semidirect
662. C₃×SD₁₆	C₂×D₄	semidirect
668. C₃×D₈	C₂×D₄	semidirect
674. C₃×M₁₆	C₂×D₄	semidirect
759. C₂×#41	C₂³×C₃	semidirect
760. C₂×#41	C₂³×C₃	semidirect
763. C₂²×Q₈	C₂³×C₃	semidirect
780. C₂²×D₄	C₂³×C₃	semidirect
799. AGL(1,ℤ/8)	C₃×D₄	semidirect
802. C₂×Q₁₆	C₂³×C₃	semidirect
803. C₂×Q₁₆	C₂³×C₃	semidirect
804. C₂×Q₁₆	C₂³×C₃	semidirect
812. C₂×SD₁₆	C₂³×C₃	semidirect
813. C₂×SD₁₆	C₂³×C₃	semidirect
814. C₂×SD₁₆	C₂³×C₃	semidirect
829. C₂×M₁₆	C₂³×C₃	semidirect
831. C₂²×C₈	C₂³×C₃	semidirect
833. C₄⋊Q₈	C₂³×C₃	semidirect
835. #127	C₂³×C₃	semidirect
842. #124	C₂³×C₃	semidirect
843. #124	C₂³×C₃	semidirect
864. C₂²⋊Q₈	C₂³×C₃	semidirect
865. C₂²⋊Q₈	C₂³×C₃	semidirect
886. #121	C₂³×C₃	semidirect
887. #121	C₂³×C₃	semidirect
898. C₄×Q₈	C₂³×C₃	semidirect
899. C₄×Q₈	C₂³×C₃	semidirect
924. C₄×D₄	C₂³×C₃	semidirect
925. C₄×D₄	C₂³×C₃	semidirect
947. #107	C₂³×C₃	semidirect
948. #106	C₂³×C₃	semidirect
949. C₄⋊C₈	C₂³×C₃	semidirect
950. C₄⋊C₈	C₂³×C₃	semidirect
951. #103	C₂³×C₃	semidirect
952. #103	C₂³×C₃	semidirect
953. #103	C₂³×C₃	semidirect
954. #103	C₂³×C₃	semidirect
955. #103	C₂³×C₃	semidirect
960. #102	C₂³×C₃	semidirect
961. #102	C₂³×C₃	semidirect
962. #102	C₂³×C₃	semidirect
965. C₂²⋊C₈	C₂³×C₃	semidirect
966. C₂²⋊C₈	C₂³×C₃	semidirect
967. #97	C₂³×C₃	semidirect
968. C₄×C₈	C₂³×C₃	semidirect
1203. C₂×D₄	C₂×C₃×D₄	semidirect
1258. SD₁₆	C₂×C₃×D₄	semidirect
1264. D₈	C₂×C₃×D₄	semidirect
1270. M₁₆	C₂×C₃×D₄	semidirect
1372. C₂²×C₃	#575	semidirect
1581. C₂²	C₃×#575	semidirect
1601. C₃	#61066	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#575	2
C₂²×C₃×AGL(1,ℤ/8)	2
C₃×D₄×#41	2
C₂×C₃×#546	2
C₃×#3282	2
C₃×#3280	2
C₃×#3275	2
C₃×#3273	2
C₃×#3268	2
C₃×#3267	2
C₃×#3266	2
C₃×#3264	2
C₃×#3153	2
C₃×#3056	2
C₃×#3055	2
C₃×#3040	2
C₃×#3036	2
C₃×#3007	2
C₃×#3006	2
C₃×#3005	2
C₃×#3003	2
C₃×C₄×AGL(1,ℤ/8)	2
C₃×D₄×M₁₆	2
#61066	3

Subgroups — C3×#61066 #10679673

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61066 #10679673