Subgroups — C₃×#61164 #10679771

Order 768.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3326	C₂	1	2	yes	maximal, complemented
4	C₃×#3322	C₂	1	2	yes	maximal, complemented
5	C₃×#3320	C₂	1	2	yes	maximal, complemented
6	C₃×#3318	C₂	1	2	yes	maximal, complemented
7	C₃×#3309	C₂	1	2	yes	maximal, complemented
8	C₃×#3307	C₂	1	2	yes	maximal, complemented
9	C₃×#3301	C₂	1	2	yes	maximal, complemented
10	C₃×#3297	C₂	1	2	yes	maximal, complemented
11	C₃×#3142	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3092	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×C₄×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2896	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
24	#61164	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
27	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
28	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
32	C₃×#553	—	2	1	no	—
33	C₃×#553	—	2	1	no	—
34	C₃×#553	—	2	1	no	—
35	C₃×#553	—	2	1	no	—
36	C₃×#553	C₂²	1	2	yes	—
37	C₃×#553	C₂²	1	2	yes	complemented
38	C₃×#553	C₂²	1	2	yes	complemented
39	C₃×#553	C₂²	1	2	yes	complemented
40	C₃×#550	C₂²	1	1	yes	characteristic, complemented
41	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₃×#548	C₂²	1	1	yes	characteristic, complemented
43	C₃×#548	C₂²	1	1	yes	characteristic, complemented
44	C₃×#547	—	2	1	no	—
45	C₃×#547	C₂²	1	1	yes	characteristic, complemented
46	C₃×#546	—	2	1	no	—
47	C₃×#546	—	2	1	no	—
48	C₃×#546	C₂²	1	1	yes	characteristic, complemented
49	C₃×#546	C₂²	1	1	yes	characteristic, complemented
50	C₃×D₄²	—	2	1	no	—
51	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
52	C₃×#532	—	2	1	no	—
53	C₃×#532	C₂²	1	1	yes	characteristic
54	C₂×C₃×#126	—	2	1	no	—
55	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
56	C₃×#525	—	2	1	no	—
57	C₃×#525	—	2	1	no	—
58	C₃×#525	C₂²	1	1	yes	characteristic
59	C₃×#525	C₂²	1	1	yes	characteristic
60	C₂×C₃×#123	—	2	1	no	—
61	C₂×C₃×#121	—	2	1	no	—
62	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
64	C₃×C₄×#41	C₂²	1	1	yes	characteristic
65	C₂×C₃×C₄×D₄	—	2	1	no	—
66	C₂×C₃×C₄×D₄	—	2	1	no	—
67	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
68	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
70	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
71	C₃×#491	C₂²	1	2	yes	complemented
72	C₃×#490	C₂²	1	2	yes	complemented
73	C₃×#488	C₂²	1	2	yes	complemented
74	C₃×#488	C₂²	1	2	yes	complemented
75	C₃×#485	C₂²	1	2	yes	complemented
76	C₃×#485	C₂²	1	2	yes	complemented
77	C₃×#484	C₂²	1	2	yes	complemented
78	C₃×#483	C₂²	1	2	yes	complemented
79	C₃×#482	C₂²	1	2	yes	complemented
80	C₃×#482	C₂²	1	2	yes	complemented
81	C₃×#481	C₂²	1	2	yes	complemented
82	C₃×#480	C₂²	1	2	yes	complemented
83	C₃×#479	C₂²	1	2	yes	complemented
84	C₃×#479	C₂²	1	2	yes	complemented
85	C₃×#478	C₂²	1	2	yes	complemented
86	C₃×#478	C₂²	1	2	yes	complemented
87	C₃×#469	C₂²	1	2	yes	complemented
88	C₃×#469	C₂²	1	2	yes	complemented
89	C₃×#468	C₂²	1	2	yes	complemented
90	C₃×#468	C₂²	1	2	yes	complemented
91	C₃×#466	C₂²	1	2	yes	complemented
92	C₃×#466	C₂²	1	2	yes	complemented
93	C₃×#465	C₂²	1	2	yes	complemented
94	C₃×#465	C₂²	1	2	yes	complemented
95	C₃×#463	C₂²	1	2	yes	complemented
96	C₃×#463	C₂²	1	2	yes	complemented
97	C₃×#461	C₂²	1	2	yes	complemented
98	C₃×#459	C₂²	1	2	yes	complemented
99	C₃×#449	C₂²	1	2	yes	complemented
100	C₃×#449	C₂²	1	2	yes	complemented
101	C₃×#449	C₂²	1	2	yes	complemented
102	C₃×#449	C₂²	1	2	yes	complemented
103	C₃×#448	C₂²	1	2	yes	complemented
104	C₃×#448	C₂²	1	2	yes	complemented
105	C₃×#447	C₂²	1	2	yes	complemented
106	C₃×#447	C₂²	1	2	yes	complemented
107	C₃×#442	C₂²	1	2	yes	complemented
108	C₃×#440	C₂²	1	2	yes	complemented
109	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
110	C₃×C₄×D₈	C₂²	1	2	yes	complemented
111	C₃×#436	C₂²	1	2	yes	complemented
112	C₃×#435	C₂²	1	2	yes	complemented
113	C₃×#435	C₂²	1	2	yes	complemented
114	C₃×C₈×D₄	C₂²	1	2	yes	complemented
115	C₃×#428	C₂²	1	1	yes	characteristic, complemented
116	C₃×#428	C₂²	1	1	yes	characteristic, complemented
117	C₃×#428	C₂²	1	1	yes	characteristic, complemented
118	C₃×#423	C₂²	1	1	yes	characteristic, complemented
119	C₃×#419	C₂²	1	2	yes	complemented
120	C₃×#418	C₂²	1	2	yes	complemented
121	C₃×#418	C₂²	1	1	yes	characteristic, complemented
122	C₃×#417	C₂²	1	1	yes	characteristic
123	C₃×#417	C₂²	1	1	yes	characteristic
124	C₃×#417	C₂²	1	1	yes	characteristic
125	C₃×#417	C₂²	1	1	yes	characteristic, complemented
126	C₃×#417	C₂²	1	1	yes	characteristic, complemented
127	C₃×#417	C₂²	1	1	yes	characteristic, complemented
128	C₃×#417	C₂²	1	1	yes	characteristic, complemented
129	C₃×#417	C₂²	1	1	yes	characteristic, complemented
130	C₃×#417	C₂²	1	2	yes	complemented
131	C₃×#417	C₂²	1	2	yes	complemented
132	C₃×#417	C₂²	1	1	yes	characteristic, complemented
133	C₃×#416	C₂²	1	2	yes	complemented
134	C₃×#416	C₂²	1	2	yes	complemented
135	C₂×C₃×#103	C₂²	1	2	yes	complemented
136	C₂×C₃×#102	C₂²	1	2	yes	complemented
137	C₃×#407	C₂²	1	1	yes	characteristic, complemented
138	C₃×#407	C₂²	1	1	yes	characteristic, complemented
139	C₃×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
140	C₂×#553	C₂×C₃	1	1	yes	characteristic, complemented
141	D₄×#41	C₂×C₃	1	1	yes	characteristic, complemented
142	#3326	C₂×C₃	1	2	yes	complemented
143	#3322	C₂×C₃	1	2	yes	complemented
144	#3320	C₂×C₃	1	2	yes	complemented
145	#3318	C₂×C₃	1	2	yes	complemented
146	#3309	C₂×C₃	1	2	yes	complemented
147	#3307	C₂×C₃	1	2	yes	complemented
148	#3301	C₂×C₃	1	2	yes	complemented
149	#3297	C₂×C₃	1	2	yes	complemented
150	#3142	C₂×C₃	1	1	yes	characteristic, complemented
151	#3093	C₂×C₃	1	1	yes	characteristic, complemented
152	#3092	C₂×C₃	1	1	yes	characteristic, complemented
153	#3080	C₂×C₃	1	1	yes	characteristic, complemented
154	#3055	C₂×C₃	1	1	yes	characteristic, complemented
155	#3055	C₂×C₃	1	1	yes	characteristic, complemented
156	#3036	C₂×C₃	1	1	yes	characteristic, complemented
157	#3006	C₂×C₃	1	1	yes	characteristic, complemented
158	#3006	C₂×C₃	1	1	yes	characteristic, complemented
159	C₄×AGL(1,ℤ/8)	C₂×C₃	1	1	yes	characteristic, complemented
160	D₄×M₁₆	C₂×C₃	1	1	yes	characteristic, complemented
161	#2896	C₂×C₃	1	1	yes	characteristic, complemented
162	C₂×#417	C₂×C₃	1	1	yes	characteristic, complemented
163	C₂×C₃×#41	—	2	1	no	—
164	C₂×C₃×#41	—	2	1	no	—
165	C₂×C₃×#41	—	2	1	no	—
166	C₂×C₃×#41	—	2	1	no	—
167	C₂×C₃×#41	—	2	4	no	—
168	C₂×C₃×#41	—	2	4	no	—
169	C₂×C₃×#41	—	4	2	no	—
170	C₂×C₃×#41	—	4	2	no	—
171	C₂×C₃×#41	C₂³	1	1	yes	characteristic
172	C₂×C₃×#41	C₂³	1	1	yes	characteristic
173	C₂×C₃×#41	C₂³	1	1	yes	characteristic
174	C₂×C₃×#41	C₂³	1	1	yes	characteristic
175	C₂×C₃×#41	C₂³	1	1	yes	characteristic
176	C₂×C₃×#41	C₂³	1	1	yes	characteristic
177	C₂×C₃×#41	C₂³	1	1	yes	characteristic
178	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
179	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
180	C₂²×C₃×D₄	—	2	1	no	—
181	C₂²×C₃×D₄	—	2	1	no	—
182	C₂²×C₃×D₄	—	2	1	no	—
183	C₂²×C₃×D₄	—	2	1	no	—
184	C₂²×C₃×D₄	—	2	1	no	—
185	C₂²×C₃×D₄	D₄	1	1	yes	characteristic
186	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
187	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
188	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
189	C₂³×C₃×C₄	—	2	1	no	—
190	C₂³×C₃×C₄	—	2	1	no	—
191	C₂³×C₃×C₄	—	2	1	no	—
192	C₂³×C₃×C₄	—	2	1	no	—
193	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
194	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
195	C₃×AGL(1,ℤ/8)	—	2	4	no	—
196	C₃×AGL(1,ℤ/8)	—	4	2	no	—
197	C₃×AGL(1,ℤ/8)	—	4	2	no	—
198	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
199	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
200	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
201	C₂×C₃×D₈	C₂³	1	2	yes	—
202	C₂×C₃×D₈	C₂³	1	2	yes	—
203	C₂×C₃×D₈	C₂³	1	2	yes	—
204	C₂×C₃×M₁₆	—	4	2	no	—
205	C₂×C₃×M₁₆	—	4	2	no	—
206	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
207	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
208	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₃×M₁₆	C₂³	1	2	yes	—
211	C₂×C₃×M₁₆	C₂³	1	2	yes	—
212	C₂²×C₃×C₈	C₂³	1	2	yes	—
213	C₂²×C₃×C₈	C₂³	1	2	yes	—
214	C₃×C₄⋊Q₈	—	2	1	no	—
215	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₃×#127	—	2	1	no	—
217	C₃×#127	C₂³	1	1	yes	characteristic
218	C₃×#126	—	2	2	no	—
219	C₃×#126	—	2	2	no	—
220	C₃×#126	—	2	2	no	—
221	C₃×#126	—	2	2	no	—
222	C₃×#125	—	2	1	no	—
223	C₃×#125	—	2	1	no	—
224	C₃×#125	C₂³	1	2	yes	—
225	C₃×#125	C₂³	1	2	yes	—
226	C₃×#124	—	2	1	no	—
227	C₃×#124	—	2	1	no	—
228	C₃×#124	C₂³	1	1	yes	characteristic
229	C₃×#124	C₂³	1	1	yes	characteristic
230	C₃×#123	—	2	1	no	—
231	C₃×#123	—	2	1	no	—
232	C₃×#123	—	2	1	no	—
233	C₃×#123	—	2	1	no	—
234	C₃×#123	—	2	2	no	—
235	C₃×#123	—	2	2	no	—
236	C₃×#123	—	2	2	no	—
237	C₃×#123	—	2	2	no	—
238	C₃×#123	—	2	1	no	—
239	C₃×#123	—	2	1	no	—
240	C₃×C₂²⋊Q₈	—	2	1	no	—
241	C₃×C₂²⋊Q₈	—	2	1	no	—
242	C₃×C₂²⋊Q₈	—	2	1	no	—
243	C₃×C₂²⋊Q₈	—	2	1	no	—
244	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₃×#121	—	2	2	no	—
249	C₃×#121	—	2	2	no	—
250	C₃×#121	—	2	2	no	—
251	C₃×#121	—	2	2	no	—
252	C₃×#121	—	2	1	no	—
253	C₃×#121	—	2	1	no	—
254	C₃×#121	—	2	1	no	—
255	C₃×#121	—	2	1	no	—
256	C₃×#121	—	2	1	no	—
257	C₃×#121	—	2	1	no	—
258	C₃×#121	—	2	1	no	—
259	C₃×#121	—	2	1	no	—
260	C₃×#121	—	2	1	no	—
261	C₃×#121	—	2	1	no	—
262	C₃×#121	—	2	1	no	—
263	C₃×#121	—	2	1	no	—
264	C₃×#121	—	2	1	no	—
265	C₃×#121	—	2	1	no	—
266	C₃×#121	C₂³	1	2	yes	—
267	C₃×#121	C₂³	1	2	yes	—
268	C₃×#121	C₂³	1	2	yes	—
269	C₃×#121	C₂³	1	2	yes	—
270	C₃×#121	C₂³	1	1	yes	characteristic
271	C₃×#121	C₂³	1	1	yes	characteristic
272	C₃×#121	C₂³	1	1	yes	characteristic
273	C₃×#121	C₂³	1	1	yes	characteristic
274	C₃×#120	—	2	1	no	—
275	C₃×#120	—	2	1	no	—
276	C₃×#120	—	2	1	no	—
277	C₃×#120	—	2	1	no	—
278	C₃×#120	—	2	1	no	—
279	C₃×#120	—	2	1	no	—
280	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
281	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
282	C₃×C₄×D₄	—	2	1	no	—
283	C₃×C₄×D₄	—	2	1	no	—
284	C₃×C₄×D₄	—	2	1	no	—
285	C₃×C₄×D₄	—	2	1	no	—
286	C₃×C₄×D₄	—	2	1	no	—
287	C₃×C₄×D₄	—	2	1	no	—
288	C₃×C₄×D₄	—	2	1	no	—
289	C₃×C₄×D₄	—	2	1	no	—
290	C₃×C₄×D₄	—	2	1	no	—
291	C₃×C₄×D₄	—	2	1	no	—
292	C₃×C₄×D₄	—	2	2	no	—
293	C₃×C₄×D₄	—	2	2	no	—
294	C₃×C₄×D₄	—	2	2	no	—
295	C₃×C₄×D₄	—	2	2	no	—
296	C₃×C₄×D₄	—	2	1	no	—
297	C₃×C₄×D₄	—	2	1	no	—
298	C₃×C₄×D₄	—	2	1	no	—
299	C₃×C₄×D₄	—	2	1	no	—
300	C₃×C₄×D₄	D₄	1	1	yes	characteristic
301	C₃×C₄×D₄	D₄	1	1	yes	characteristic
302	C₃×C₄×D₄	D₄	1	1	yes	characteristic
303	C₃×C₄×D₄	D₄	1	1	yes	characteristic
304	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
305	C₃×C₄×D₄	C₂³	1	2	yes	—
306	C₃×C₄×D₄	C₂³	1	2	yes	—
307	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
308	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
309	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
310	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
311	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
312	C₃×#117	—	2	1	no	—
313	C₃×#117	—	2	1	no	—
314	C₃×#117	—	2	1	no	—
315	C₃×#117	C₂³	1	2	yes	—
316	C₃×#117	C₂³	1	2	yes	—
317	C₃×#117	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₄⋊C₄	—	2	1	no	—
319	C₂×C₃×C₄⋊C₄	—	2	1	no	—
320	C₂×C₃×C₄⋊C₄	—	2	1	no	—
321	C₂×C₃×C₄⋊C₄	—	2	1	no	—
322	C₂×C₃×C₄⋊C₄	—	2	1	no	—
323	C₂×C₃×C₄⋊C₄	—	2	1	no	—
324	C₂×C₃×C₄⋊C₄	D₄	1	1	yes	characteristic
325	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
326	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
330	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
331	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
332	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
333	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
334	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
335	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
336	C₂×C₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
337	C₂×C₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
338	C₂×C₃×C₄²	—	2	1	no	—
339	C₂×C₃×C₄²	—	2	1	no	—
340	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
341	C₃×#107	C₂³	1	2	yes	—
342	C₃×#107	C₂³	1	2	yes	—
343	C₃×#107	C₂³	1	2	yes	—
344	C₃×#106	C₂³	1	2	yes	—
345	C₃×#106	C₂³	1	2	yes	—
346	C₃×#106	C₂³	1	2	yes	—
347	C₃×C₄⋊C₈	C₂³	1	2	yes	—
348	C₃×C₄⋊C₈	C₂³	1	2	yes	—
349	C₃×#103	C₂³	1	2	yes	—
350	C₃×#103	C₂³	1	2	yes	—
351	C₃×#103	C₂³	1	2	yes	—
352	C₃×#103	C₂³	1	2	yes	—
353	C₃×#103	C₂³	1	2	yes	—
354	C₃×#103	C₂³	1	2	yes	—
355	C₃×#103	C₂³	1	2	yes	—
356	C₃×#103	C₂³	1	2	yes	—
357	C₃×#103	C₂³	1	2	yes	—
358	C₃×#102	C₂³	1	2	yes	—
359	C₃×#102	C₂³	1	2	yes	—
360	C₃×#102	C₂³	1	2	yes	—
361	C₃×#102	C₂³	1	2	yes	—
362	C₃×#102	C₂³	1	2	yes	—
363	C₃×#102	C₂³	1	2	yes	—
364	C₃×#102	C₂³	1	2	yes	—
365	C₃×#102	C₂³	1	2	yes	—
366	C₃×#102	C₂³	1	2	yes	—
367	C₃×#102	C₂³	1	2	yes	—
368	C₃×#102	C₂³	1	2	yes	—
369	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
370	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
371	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
372	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
373	C₃×#97	C₂³	1	2	yes	—
374	C₃×C₄×C₈	C₂³	1	2	yes	—
375	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
376	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
377	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic
378	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
379	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
380	C₂²×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
381	C₂²×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
382	#553	—	2	1	no	—
383	#553	—	2	1	no	—
384	#553	—	2	1	no	—
385	#553	—	2	1	no	—
386	#553	C₂²×C₃	1	2	yes	—
387	#553	C₂²×C₃	1	2	yes	complemented
388	#553	C₂²×C₃	1	2	yes	complemented
389	#553	C₂²×C₃	1	2	yes	complemented
390	#550	C₂²×C₃	1	1	yes	characteristic, complemented
391	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
392	#548	C₂²×C₃	1	1	yes	characteristic, complemented
393	#548	C₂²×C₃	1	1	yes	characteristic, complemented
394	#547	—	2	1	no	—
395	#547	C₂²×C₃	1	1	yes	characteristic, complemented
396	#546	—	2	1	no	—
397	#546	—	2	1	no	—
398	#546	C₂²×C₃	1	1	yes	characteristic, complemented
399	#546	C₂²×C₃	1	1	yes	characteristic, complemented
400	D₄²	—	2	1	no	—
401	D₄²	C₂²×C₃	1	1	yes	characteristic, complemented
402	#532	—	2	1	no	—
403	#532	C₂²×C₃	1	1	yes	characteristic
404	C₂×#126	—	2	1	no	—
405	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
406	#525	—	2	1	no	—
407	#525	—	2	1	no	—
408	#525	C₂²×C₃	1	1	yes	characteristic
409	#525	C₂²×C₃	1	1	yes	characteristic
410	C₂×#123	—	2	1	no	—
411	C₂×#121	—	2	1	no	—
412	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
413	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
414	C₄×#41	C₂²×C₃	1	1	yes	characteristic
415	C₂×C₄×D₄	—	2	1	no	—
416	C₂×C₄×D₄	—	2	1	no	—
417	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
418	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
420	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
421	#491	C₂²×C₃	1	2	yes	complemented
422	#490	C₂²×C₃	1	2	yes	complemented
423	#488	C₂²×C₃	1	2	yes	complemented
424	#488	C₂²×C₃	1	2	yes	complemented
425	#485	C₂²×C₃	1	2	yes	complemented
426	#485	C₂²×C₃	1	2	yes	complemented
427	#484	C₂²×C₃	1	2	yes	complemented
428	#483	C₂²×C₃	1	2	yes	complemented
429	#482	C₂²×C₃	1	2	yes	complemented
430	#482	C₂²×C₃	1	2	yes	complemented
431	#481	C₂²×C₃	1	2	yes	complemented
432	#480	C₂²×C₃	1	2	yes	complemented
433	#479	C₂²×C₃	1	2	yes	complemented
434	#479	C₂²×C₃	1	2	yes	complemented
435	#478	C₂²×C₃	1	2	yes	complemented
436	#478	C₂²×C₃	1	2	yes	complemented
437	#469	C₂²×C₃	1	2	yes	complemented
438	#469	C₂²×C₃	1	2	yes	complemented
439	#468	C₂²×C₃	1	2	yes	complemented
440	#468	C₂²×C₃	1	2	yes	complemented
441	#466	C₂²×C₃	1	2	yes	complemented
442	#466	C₂²×C₃	1	2	yes	complemented
443	#465	C₂²×C₃	1	2	yes	complemented
444	#465	C₂²×C₃	1	2	yes	complemented
445	#463	C₂²×C₃	1	2	yes	complemented
446	#463	C₂²×C₃	1	2	yes	complemented
447	#461	C₂²×C₃	1	2	yes	complemented
448	#459	C₂²×C₃	1	2	yes	complemented
449	#449	C₂²×C₃	1	2	yes	complemented
450	#449	C₂²×C₃	1	2	yes	complemented
451	#449	C₂²×C₃	1	2	yes	complemented
452	#449	C₂²×C₃	1	2	yes	complemented
453	#448	C₂²×C₃	1	2	yes	complemented
454	#448	C₂²×C₃	1	2	yes	complemented
455	#447	C₂²×C₃	1	2	yes	complemented
456	#447	C₂²×C₃	1	2	yes	complemented
457	#442	C₂²×C₃	1	2	yes	complemented
458	#440	C₂²×C₃	1	2	yes	complemented
459	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
460	C₄×D₈	C₂²×C₃	1	2	yes	complemented
461	#436	C₂²×C₃	1	2	yes	complemented
462	#435	C₂²×C₃	1	2	yes	complemented
463	#435	C₂²×C₃	1	2	yes	complemented
464	C₈×D₄	C₂²×C₃	1	2	yes	complemented
465	#428	C₂²×C₃	1	1	yes	characteristic, complemented
466	#428	C₂²×C₃	1	1	yes	characteristic, complemented
467	#428	C₂²×C₃	1	1	yes	characteristic, complemented
468	#423	C₂²×C₃	1	1	yes	characteristic, complemented
469	#419	C₂²×C₃	1	2	yes	complemented
470	#418	C₂²×C₃	1	2	yes	complemented
471	#418	C₂²×C₃	1	1	yes	characteristic, complemented
472	#417	C₂²×C₃	1	1	yes	characteristic
473	#417	C₂²×C₃	1	1	yes	characteristic
474	#417	C₂²×C₃	1	1	yes	characteristic
475	#417	C₂²×C₃	1	1	yes	characteristic, complemented
476	#417	C₂²×C₃	1	1	yes	characteristic, complemented
477	#417	C₂²×C₃	1	1	yes	characteristic, complemented
478	#417	C₂²×C₃	1	1	yes	characteristic, complemented
479	#417	C₂²×C₃	1	1	yes	characteristic, complemented
480	#417	C₂²×C₃	1	1	yes	characteristic, complemented
481	#417	C₂²×C₃	1	2	yes	complemented
482	#417	C₂²×C₃	1	2	yes	complemented
483	#416	C₂²×C₃	1	2	yes	complemented
484	#416	C₂²×C₃	1	2	yes	complemented
485	C₂×#103	C₂²×C₃	1	2	yes	complemented
486	C₂×#102	C₂²×C₃	1	2	yes	complemented
487	#407	C₂²×C₃	1	1	yes	characteristic, complemented
488	#407	C₂²×C₃	1	1	yes	characteristic, complemented
489	C₄×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
490	C₂⁴×C₃	—	2	1	no	—
491	C₂⁴×C₃	—	2	1	no	—
492	C₂⁴×C₃	—	2	1	no	—
493	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
494	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
495	C₃×#41	—	2	2	no	—
496	C₃×#41	—	2	2	no	—
497	C₃×#41	—	2	2	no	—
498	C₃×#41	—	2	2	no	—
499	C₃×#41	—	2	2	no	—
500	C₃×#41	—	2	2	no	—
501	C₃×#41	—	2	2	no	—
502	C₃×#41	—	2	2	no	—
503	C₃×#41	—	2	2	no	—
504	C₃×#41	—	4	4	no	—
505	C₃×#41	—	4	4	no	—
506	C₃×#41	—	4	1	no	—
507	C₃×#41	—	4	1	no	—
508	C₃×#41	—	4	1	no	—
509	C₃×#41	—	4	1	no	—
510	C₃×#41	—	4	4	no	—
511	C₃×#41	—	4	4	no	—
512	C₃×#41	#41	1	4	yes	—
513	C₂×C₃×Q₈	—	2	1	no	—
514	C₂×C₃×Q₈	—	2	1	no	—
515	C₂×C₃×Q₈	—	2	2	no	—
516	C₂×C₃×Q₈	—	2	2	no	—
517	C₂×C₃×Q₈	—	4	1	no	—
518	C₂×C₃×Q₈	—	4	1	no	—
519	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₃×D₄	—	2	1	no	—
523	C₂×C₃×D₄	—	2	2	no	—
524	C₂×C₃×D₄	—	2	2	no	—
525	C₂×C₃×D₄	—	2	1	no	—
526	C₂×C₃×D₄	—	2	1	no	—
527	C₂×C₃×D₄	—	2	2	no	—
528	C₂×C₃×D₄	—	2	2	no	—
529	C₂×C₃×D₄	—	2	1	no	—
530	C₂×C₃×D₄	—	2	1	no	—
531	C₂×C₃×D₄	—	2	1	no	—
532	C₂×C₃×D₄	—	2	1	no	—
533	C₂×C₃×D₄	—	2	1	no	—
534	C₂×C₃×D₄	—	2	1	no	—
535	C₂×C₃×D₄	—	2	1	no	—
536	C₂×C₃×D₄	—	2	1	no	—
537	C₂×C₃×D₄	—	2	2	no	—
538	C₂×C₃×D₄	—	2	2	no	—
539	C₂×C₃×D₄	—	2	1	no	—
540	C₂×C₃×D₄	—	2	1	no	—
541	C₂×C₃×D₄	—	2	1	no	—
542	C₂×C₃×D₄	—	2	1	no	—
543	C₂×C₃×D₄	—	2	1	no	—
544	C₂×C₃×D₄	—	2	2	no	—
545	C₂×C₃×D₄	—	2	2	no	—
546	C₂×C₃×D₄	—	4	1	no	—
547	C₂×C₃×D₄	—	4	1	no	—
548	C₂×C₃×D₄	—	4	2	no	—
549	C₂×C₃×D₄	—	4	4	no	—
550	C₂×C₃×D₄	—	4	4	no	—
551	C₂×C₃×D₄	—	4	4	no	—
552	C₂×C₃×D₄	—	4	4	no	—
553	C₂×C₃×D₄	—	8	2	no	—
554	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
555	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
556	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
557	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
558	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
559	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
560	C₂×C₃×D₄	C₂⁴	1	2	yes	—
561	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
562	C₂²×C₃×C₄	—	2	1	no	—
563	C₂²×C₃×C₄	—	2	2	no	—
564	C₂²×C₃×C₄	—	2	2	no	—
565	C₂²×C₃×C₄	—	2	2	no	—
566	C₂²×C₃×C₄	—	2	2	no	—
567	C₂²×C₃×C₄	—	2	1	no	—
568	C₂²×C₃×C₄	—	2	1	no	—
569	C₂²×C₃×C₄	—	2	1	no	—
570	C₂²×C₃×C₄	—	2	1	no	—
571	C₂²×C₃×C₄	—	2	1	no	—
572	C₂²×C₃×C₄	—	2	2	no	—
573	C₂²×C₃×C₄	—	2	2	no	—
574	C₂²×C₃×C₄	—	2	1	no	—
575	C₂²×C₃×C₄	—	2	1	no	—
576	C₂²×C₃×C₄	—	2	1	no	—
577	C₂²×C₃×C₄	—	2	1	no	—
578	C₂²×C₃×C₄	—	2	1	no	—
579	C₂²×C₃×C₄	—	2	1	no	—
580	C₂²×C₃×C₄	—	2	1	no	—
581	C₂²×C₃×C₄	—	2	1	no	—
582	C₂²×C₃×C₄	—	2	2	no	—
583	C₂²×C₃×C₄	—	2	2	no	—
584	C₂²×C₃×C₄	—	4	4	no	—
585	C₂²×C₃×C₄	—	4	4	no	—
586	C₂²×C₃×C₄	—	8	2	no	—
587	C₂²×C₃×C₄	—	8	2	no	—
588	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
589	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
590	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
591	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
592	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
593	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
594	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
595	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
596	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
599	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
600	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
601	C₃×SD₁₆	—	2	4	no	—
602	C₃×SD₁₆	—	4	2	no	—
603	C₃×SD₁₆	—	4	2	no	—
604	C₃×D₈	—	2	4	no	—
605	C₃×D₈	—	4	2	no	—
606	C₃×D₈	—	4	2	no	—
607	C₃×M₁₆	—	2	2	no	—
608	C₃×M₁₆	—	2	2	no	—
609	C₃×M₁₆	—	2	2	no	—
610	C₃×M₁₆	—	2	2	no	—
611	C₃×M₁₆	—	4	2	no	—
612	C₃×M₁₆	—	4	2	no	—
613	C₂×C₃×C₈	—	4	2	no	—
614	C₂×C₃×C₈	—	4	2	no	—
615	C₂×C₃×C₈	C₂⁴	1	2	yes	—
616	C₂×C₃×C₈	C₂⁴	1	2	yes	—
617	C₂×C₃×C₈	C₂⁴	1	2	yes	—
618	C₂×C₃×C₈	C₂⁴	1	2	yes	—
619	C₃×C₄⋊C₄	—	2	1	no	—
620	C₃×C₄⋊C₄	—	2	1	no	—
621	C₃×C₄⋊C₄	—	2	2	no	—
622	C₃×C₄⋊C₄	—	2	2	no	—
623	C₃×C₄⋊C₄	—	2	1	no	—
624	C₃×C₄⋊C₄	—	2	1	no	—
625	C₃×C₄⋊C₄	—	2	1	no	—
626	C₃×C₄⋊C₄	—	2	2	no	—
627	C₃×C₄⋊C₄	—	2	2	no	—
628	C₃×C₄⋊C₄	—	2	2	no	—
629	C₃×C₄⋊C₄	—	2	2	no	—
630	C₃×C₄⋊C₄	—	2	1	no	—
631	C₃×C₄⋊C₄	—	2	1	no	—
632	C₃×C₄⋊C₄	—	2	1	no	—
633	C₃×C₄⋊C₄	—	2	1	no	—
634	C₃×C₄⋊C₄	—	2	1	no	—
635	C₃×C₄⋊C₄	—	2	1	no	—
636	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
641	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
642	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
643	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₃×C₂²⋊C₄	—	2	2	no	—
646	C₃×C₂²⋊C₄	—	2	2	no	—
647	C₃×C₂²⋊C₄	—	2	1	no	—
648	C₃×C₂²⋊C₄	—	2	1	no	—
649	C₃×C₂²⋊C₄	—	2	1	no	—
650	C₃×C₂²⋊C₄	—	2	1	no	—
651	C₃×C₂²⋊C₄	—	2	1	no	—
652	C₃×C₂²⋊C₄	—	2	1	no	—
653	C₃×C₂²⋊C₄	—	2	1	no	—
654	C₃×C₂²⋊C₄	—	2	1	no	—
655	C₃×C₂²⋊C₄	—	2	1	no	—
656	C₃×C₂²⋊C₄	—	2	2	no	—
657	C₃×C₂²⋊C₄	—	2	2	no	—
658	C₃×C₂²⋊C₄	—	2	2	no	—
659	C₃×C₂²⋊C₄	—	2	2	no	—
660	C₃×C₂²⋊C₄	—	2	2	no	—
661	C₃×C₂²⋊C₄	—	2	2	no	—
662	C₃×C₂²⋊C₄	—	2	1	no	—
663	C₃×C₂²⋊C₄	—	2	1	no	—
664	C₃×C₂²⋊C₄	—	2	1	no	—
665	C₃×C₂²⋊C₄	—	2	1	no	—
666	C₃×C₂²⋊C₄	—	2	1	no	—
667	C₃×C₂²⋊C₄	—	2	1	no	—
668	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₃×C₄²	—	2	1	no	—
677	C₃×C₄²	—	2	2	no	—
678	C₃×C₄²	—	2	2	no	—
679	C₃×C₄²	—	2	1	no	—
680	C₃×C₄²	—	2	1	no	—
681	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
682	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
683	C₃×C₄²	C₂⁴	1	1	yes	characteristic
684	C₃×C₄²	C₂⁴	1	1	yes	characteristic
685	C₂×#41	—	2	1	no	—
686	C₂×#41	—	2	1	no	—
687	C₂×#41	—	2	1	no	—
688	C₂×#41	—	2	1	no	—
689	C₂×#41	—	2	4	no	—
690	C₂×#41	—	2	4	no	—
691	C₂×#41	—	4	2	no	—
692	C₂×#41	—	4	2	no	—
693	C₂×#41	C₂³×C₃	1	1	yes	characteristic
694	C₂×#41	C₂³×C₃	1	1	yes	characteristic
695	C₂×#41	C₂³×C₃	1	1	yes	characteristic
696	C₂×#41	C₂³×C₃	1	1	yes	characteristic
697	C₂×#41	C₂³×C₃	1	1	yes	characteristic
698	C₂×#41	C₂³×C₃	1	1	yes	characteristic
699	C₂×#41	C₂³×C₃	1	1	yes	characteristic
700	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
701	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
702	C₂²×D₄	—	2	1	no	—
703	C₂²×D₄	—	2	1	no	—
704	C₂²×D₄	—	2	1	no	—
705	C₂²×D₄	—	2	1	no	—
706	C₂²×D₄	—	2	1	no	—
707	C₂²×D₄	C₃×D₄	1	1	yes	characteristic
708	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
709	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
710	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
711	C₂³×C₄	—	2	1	no	—
712	C₂³×C₄	—	2	1	no	—
713	C₂³×C₄	—	2	1	no	—
714	C₂³×C₄	—	2	1	no	—
715	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
716	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
717	AGL(1,ℤ/8)	—	2	4	no	—
718	AGL(1,ℤ/8)	—	4	2	no	—
719	AGL(1,ℤ/8)	—	4	2	no	—
720	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
721	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
723	C₂×D₈	C₂³×C₃	1	2	yes	—
724	C₂×D₈	C₂³×C₃	1	2	yes	—
725	C₂×D₈	C₂³×C₃	1	2	yes	—
726	C₂×M₁₆	—	4	2	no	—
727	C₂×M₁₆	—	4	2	no	—
728	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
729	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
730	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
731	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
732	C₂×M₁₆	C₂³×C₃	1	2	yes	—
733	C₂×M₁₆	C₂³×C₃	1	2	yes	—
734	C₂²×C₈	C₂³×C₃	1	2	yes	—
735	C₂²×C₈	C₂³×C₃	1	2	yes	—
736	C₄⋊Q₈	—	2	1	no	—
737	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
738	#127	—	2	1	no	—
739	#127	C₂³×C₃	1	1	yes	characteristic
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#126	—	2	2	no	—
743	#126	—	2	2	no	—
744	#125	—	2	1	no	—
745	#125	—	2	1	no	—
746	#125	C₂³×C₃	1	2	yes	—
747	#125	C₂³×C₃	1	2	yes	—
748	#124	—	2	1	no	—
749	#124	—	2	1	no	—
750	#124	C₂³×C₃	1	1	yes	characteristic
751	#124	C₂³×C₃	1	1	yes	characteristic
752	#123	—	2	1	no	—
753	#123	—	2	1	no	—
754	#123	—	2	1	no	—
755	#123	—	2	1	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	1	no	—
761	#123	—	2	1	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
767	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
769	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	1	no	—
775	#121	—	2	1	no	—
776	#121	—	2	1	no	—
777	#121	—	2	1	no	—
778	#121	—	2	1	no	—
779	#121	—	2	1	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	1	no	—
783	#121	—	2	1	no	—
784	#121	—	2	1	no	—
785	#121	—	2	1	no	—
786	#121	—	2	1	no	—
787	#121	—	2	1	no	—
788	#121	C₂³×C₃	1	2	yes	—
789	#121	C₂³×C₃	1	2	yes	—
790	#121	C₂³×C₃	1	2	yes	—
791	#121	C₂³×C₃	1	2	yes	—
792	#121	C₂³×C₃	1	1	yes	characteristic
793	#121	C₂³×C₃	1	1	yes	characteristic
794	#121	C₂³×C₃	1	1	yes	characteristic
795	#121	C₂³×C₃	1	1	yes	characteristic
796	#120	—	2	1	no	—
797	#120	—	2	1	no	—
798	#120	—	2	1	no	—
799	#120	—	2	1	no	—
800	#120	—	2	1	no	—
801	#120	—	2	1	no	—
802	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
803	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	2	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	C₃×D₄	1	1	yes	characteristic
823	C₄×D₄	C₃×D₄	1	1	yes	characteristic
824	C₄×D₄	C₃×D₄	1	1	yes	characteristic
825	C₄×D₄	C₃×D₄	1	1	yes	characteristic
826	C₄×D₄	C₂³×C₃	1	2	yes	—
827	C₄×D₄	C₂³×C₃	1	2	yes	—
828	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
829	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
831	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
832	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
833	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
834	#117	—	2	1	no	—
835	#117	—	2	1	no	—
836	#117	—	2	1	no	—
837	#117	C₂³×C₃	1	2	yes	—
838	#117	C₂³×C₃	1	2	yes	—
839	#117	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄⋊C₄	—	2	1	no	—
841	C₂×C₄⋊C₄	—	2	1	no	—
842	C₂×C₄⋊C₄	—	2	1	no	—
843	C₂×C₄⋊C₄	—	2	1	no	—
844	C₂×C₄⋊C₄	—	2	1	no	—
845	C₂×C₄⋊C₄	—	2	1	no	—
846	C₂×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
850	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
851	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	—	2	1	no	—
853	C₂×C₂²⋊C₄	—	2	1	no	—
854	C₂×C₂²⋊C₄	—	2	1	no	—
855	C₂×C₂²⋊C₄	—	2	1	no	—
856	C₂×C₂²⋊C₄	—	2	1	no	—
857	C₂×C₂²⋊C₄	—	2	1	no	—
858	C₂×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
860	C₂×C₄²	—	2	1	no	—
861	C₂×C₄²	—	2	1	no	—
862	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
863	#107	C₂³×C₃	1	2	yes	—
864	#107	C₂³×C₃	1	2	yes	—
865	#107	C₂³×C₃	1	2	yes	—
866	#106	C₂³×C₃	1	2	yes	—
867	#106	C₂³×C₃	1	2	yes	—
868	#106	C₂³×C₃	1	2	yes	—
869	C₄⋊C₈	C₂³×C₃	1	2	yes	—
870	C₄⋊C₈	C₂³×C₃	1	2	yes	—
871	#103	C₂³×C₃	1	2	yes	—
872	#103	C₂³×C₃	1	2	yes	—
873	#103	C₂³×C₃	1	2	yes	—
874	#103	C₂³×C₃	1	2	yes	—
875	#103	C₂³×C₃	1	2	yes	—
876	#103	C₂³×C₃	1	2	yes	—
877	#103	C₂³×C₃	1	2	yes	—
878	#103	C₂³×C₃	1	2	yes	—
879	#103	C₂³×C₃	1	2	yes	—
880	#102	C₂³×C₃	1	2	yes	—
881	#102	C₂³×C₃	1	2	yes	—
882	#102	C₂³×C₃	1	2	yes	—
883	#102	C₂³×C₃	1	2	yes	—
884	#102	C₂³×C₃	1	2	yes	—
885	#102	C₂³×C₃	1	2	yes	—
886	#102	C₂³×C₃	1	2	yes	—
887	#102	C₂³×C₃	1	2	yes	—
888	#102	C₂³×C₃	1	2	yes	—
889	#102	C₂³×C₃	1	2	yes	—
890	#102	C₂³×C₃	1	2	yes	—
891	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
892	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
893	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
894	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
895	#97	C₂³×C₃	1	2	yes	—
896	C₄×C₈	C₂³×C₃	1	2	yes	—
897	C₂³×C₃	—	2	2	no	—
898	C₂³×C₃	—	2	2	no	—
899	C₂³×C₃	—	2	1	no	—
900	C₂³×C₃	—	2	2	no	—
901	C₂³×C₃	—	2	2	no	—
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	4	1	no	—
905	C₂³×C₃	—	4	1	no	—
906	C₂³×C₃	—	4	1	no	—
907	C₂³×C₃	—	4	2	no	—
908	C₂³×C₃	—	4	2	no	—
909	C₂³×C₃	—	4	2	no	—
910	C₂³×C₃	—	4	2	no	—
911	C₂³×C₃	—	4	2	no	—
912	C₂³×C₃	—	4	2	no	—
913	C₂³×C₃	—	4	2	no	—
914	C₂³×C₃	—	8	1	no	—
915	C₂³×C₃	—	8	1	no	—
916	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
917	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
918	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
919	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
920	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
921	C₃×Q₈	—	2	1	no	—
922	C₃×Q₈	—	2	1	no	—
923	C₃×Q₈	—	2	1	no	—
924	C₃×Q₈	—	2	1	no	—
925	C₃×Q₈	—	2	1	no	—
926	C₃×Q₈	—	4	2	no	—
927	C₃×Q₈	—	4	2	no	—
928	C₃×Q₈	C₂×#41	1	2	yes	—
929	C₃×D₄	—	2	4	no	—
930	C₃×D₄	—	2	2	no	—
931	C₃×D₄	—	2	2	no	—
932	C₃×D₄	—	2	2	no	—
933	C₃×D₄	—	2	1	no	—
934	C₃×D₄	—	2	1	no	—
935	C₃×D₄	—	2	1	no	—
936	C₃×D₄	—	2	2	no	—
937	C₃×D₄	—	2	1	no	—
938	C₃×D₄	—	2	1	no	—
939	C₃×D₄	—	4	1	no	—
940	C₃×D₄	—	4	1	no	—
941	C₃×D₄	—	4	2	no	—
942	C₃×D₄	—	4	2	no	—
943	C₃×D₄	—	4	2	no	—
944	C₃×D₄	—	4	2	no	—
945	C₃×D₄	—	4	2	no	—
946	C₃×D₄	—	4	2	no	—
947	C₃×D₄	—	4	2	no	—
948	C₃×D₄	—	4	2	no	—
949	C₃×D₄	—	4	4	no	—
950	C₃×D₄	—	4	2	no	—
951	C₃×D₄	—	4	2	no	—
952	C₃×D₄	—	4	2	no	—
953	C₃×D₄	—	4	4	no	—
954	C₃×D₄	—	4	2	no	—
955	C₃×D₄	—	8	1	no	—
956	C₃×D₄	—	8	1	no	—
957	C₃×D₄	—	8	1	no	—
958	C₃×D₄	—	8	2	no	—
959	C₃×D₄	—	8	2	no	—
960	C₃×D₄	C₂×#41	1	2	yes	—
961	C₂×C₃×C₄	—	2	2	no	—
962	C₂×C₃×C₄	—	2	2	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	2	no	—
965	C₂×C₃×C₄	—	2	2	no	—
966	C₂×C₃×C₄	—	2	2	no	—
967	C₂×C₃×C₄	—	2	2	no	—
968	C₂×C₃×C₄	—	2	4	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	1	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	1	no	—
973	C₂×C₃×C₄	—	2	1	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	1	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	1	no	—
979	C₂×C₃×C₄	—	2	2	no	—
980	C₂×C₃×C₄	—	2	2	no	—
981	C₂×C₃×C₄	—	2	1	no	—
982	C₂×C₃×C₄	—	2	1	no	—
983	C₂×C₃×C₄	—	2	2	no	—
984	C₂×C₃×C₄	—	4	1	no	—
985	C₂×C₃×C₄	—	4	1	no	—
986	C₂×C₃×C₄	—	4	2	no	—
987	C₂×C₃×C₄	—	4	2	no	—
988	C₂×C₃×C₄	—	4	2	no	—
989	C₂×C₃×C₄	—	4	2	no	—
990	C₂×C₃×C₄	—	4	2	no	—
991	C₂×C₃×C₄	—	4	2	no	—
992	C₂×C₃×C₄	—	4	2	no	—
993	C₂×C₃×C₄	—	4	2	no	—
994	C₂×C₃×C₄	—	4	2	no	—
995	C₂×C₃×C₄	—	4	2	no	—
996	C₂×C₃×C₄	—	4	2	no	—
997	C₂×C₃×C₄	—	4	2	no	—
998	C₂×C₃×C₄	—	8	1	no	—
999	C₂×C₃×C₄	—	8	2	no	—
1000	C₂×C₃×C₄	—	8	2	no	—
1001	C₂×C₃×C₄	—	8	2	no	—
1002	C₂×C₃×C₄	—	8	2	no	—
1003	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1004	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1005	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1006	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1007	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1008	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1009	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1010	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1011	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1012	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1013	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1014	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1015	C₃×C₈	—	2	2	no	—
1016	C₃×C₈	—	2	2	no	—
1017	C₃×C₈	—	2	2	no	—
1018	C₃×C₈	—	2	2	no	—
1019	C₂⁴	—	2	1	no	—
1020	C₂⁴	—	2	1	no	—
1021	C₂⁴	—	2	1	no	—
1022	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
1023	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
1024	#41	—	2	2	no	—
1025	#41	—	2	2	no	—
1026	#41	—	2	2	no	—
1027	#41	—	2	2	no	—
1028	#41	—	2	2	no	—
1029	#41	—	2	2	no	—
1030	#41	—	2	2	no	—
1031	#41	—	2	2	no	—
1032	#41	—	2	2	no	—
1033	#41	—	4	4	no	—
1034	#41	—	4	4	no	—
1035	#41	—	4	1	no	—
1036	#41	—	4	1	no	—
1037	#41	—	4	1	no	—
1038	#41	—	4	1	no	—
1039	#41	—	4	4	no	—
1040	#41	—	4	4	no	—
1041	#41	C₃×#41	1	4	yes	—
1042	C₂×Q₈	—	2	1	no	—
1043	C₂×Q₈	—	2	1	no	—
1044	C₂×Q₈	—	2	2	no	—
1045	C₂×Q₈	—	2	2	no	—
1046	C₂×Q₈	—	4	1	no	—
1047	C₂×Q₈	—	4	1	no	—
1048	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1049	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1050	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1051	C₂×D₄	—	2	1	no	—
1052	C₂×D₄	—	2	2	no	—
1053	C₂×D₄	—	2	2	no	—
1054	C₂×D₄	—	2	1	no	—
1055	C₂×D₄	—	2	1	no	—
1056	C₂×D₄	—	2	2	no	—
1057	C₂×D₄	—	2	2	no	—
1058	C₂×D₄	—	2	1	no	—
1059	C₂×D₄	—	2	1	no	—
1060	C₂×D₄	—	2	1	no	—
1061	C₂×D₄	—	2	1	no	—
1062	C₂×D₄	—	2	1	no	—
1063	C₂×D₄	—	2	1	no	—
1064	C₂×D₄	—	2	1	no	—
1065	C₂×D₄	—	2	1	no	—
1066	C₂×D₄	—	2	2	no	—
1067	C₂×D₄	—	2	2	no	—
1068	C₂×D₄	—	2	1	no	—
1069	C₂×D₄	—	2	1	no	—
1070	C₂×D₄	—	2	1	no	—
1071	C₂×D₄	—	2	1	no	—
1072	C₂×D₄	—	2	1	no	—
1073	C₂×D₄	—	2	2	no	—
1074	C₂×D₄	—	2	2	no	—
1075	C₂×D₄	—	4	1	no	—
1076	C₂×D₄	—	4	1	no	—
1077	C₂×D₄	—	4	2	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	4	no	—
1080	C₂×D₄	—	4	4	no	—
1081	C₂×D₄	—	4	4	no	—
1082	C₂×D₄	—	8	2	no	—
1083	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1084	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1085	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1086	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1087	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1088	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1089	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1090	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1091	C₂²×C₄	—	2	1	no	—
1092	C₂²×C₄	—	2	2	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	2	no	—
1096	C₂²×C₄	—	2	1	no	—
1097	C₂²×C₄	—	2	1	no	—
1098	C₂²×C₄	—	2	1	no	—
1099	C₂²×C₄	—	2	1	no	—
1100	C₂²×C₄	—	2	1	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	2	1	no	—
1104	C₂²×C₄	—	2	1	no	—
1105	C₂²×C₄	—	2	1	no	—
1106	C₂²×C₄	—	2	1	no	—
1107	C₂²×C₄	—	2	1	no	—
1108	C₂²×C₄	—	2	1	no	—
1109	C₂²×C₄	—	2	1	no	—
1110	C₂²×C₄	—	2	1	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	4	4	no	—
1114	C₂²×C₄	—	4	4	no	—
1115	C₂²×C₄	—	8	2	no	—
1116	C₂²×C₄	—	8	2	no	—
1117	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1118	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1119	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1120	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1121	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1122	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1123	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1124	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1125	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1130	SD₁₆	—	2	4	no	—
1131	SD₁₆	—	4	2	no	—
1132	SD₁₆	—	4	2	no	—
1133	D₈	—	2	4	no	—
1134	D₈	—	4	2	no	—
1135	D₈	—	4	2	no	—
1136	M₁₆	—	2	2	no	—
1137	M₁₆	—	2	2	no	—
1138	M₁₆	—	2	2	no	—
1139	M₁₆	—	2	2	no	—
1140	M₁₆	—	4	2	no	—
1141	M₁₆	—	4	2	no	—
1142	C₂×C₈	—	4	2	no	—
1143	C₂×C₈	—	4	2	no	—
1144	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1145	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1146	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1147	C₂×C₈	C₂⁴×C₃	1	2	yes	—
1148	C₄⋊C₄	—	2	1	no	—
1149	C₄⋊C₄	—	2	1	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	1	no	—
1153	C₄⋊C₄	—	2	1	no	—
1154	C₄⋊C₄	—	2	1	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	1	no	—
1160	C₄⋊C₄	—	2	1	no	—
1161	C₄⋊C₄	—	2	1	no	—
1162	C₄⋊C₄	—	2	1	no	—
1163	C₄⋊C₄	—	2	1	no	—
1164	C₄⋊C₄	—	2	1	no	—
1165	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1166	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1167	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1168	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1169	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1170	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1171	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1172	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1173	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1174	C₂²⋊C₄	—	2	2	no	—
1175	C₂²⋊C₄	—	2	2	no	—
1176	C₂²⋊C₄	—	2	1	no	—
1177	C₂²⋊C₄	—	2	1	no	—
1178	C₂²⋊C₄	—	2	1	no	—
1179	C₂²⋊C₄	—	2	1	no	—
1180	C₂²⋊C₄	—	2	1	no	—
1181	C₂²⋊C₄	—	2	1	no	—
1182	C₂²⋊C₄	—	2	1	no	—
1183	C₂²⋊C₄	—	2	1	no	—
1184	C₂²⋊C₄	—	2	1	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	2	2	no	—
1187	C₂²⋊C₄	—	2	2	no	—
1188	C₂²⋊C₄	—	2	2	no	—
1189	C₂²⋊C₄	—	2	2	no	—
1190	C₂²⋊C₄	—	2	2	no	—
1191	C₂²⋊C₄	—	2	1	no	—
1192	C₂²⋊C₄	—	2	1	no	—
1193	C₂²⋊C₄	—	2	1	no	—
1194	C₂²⋊C₄	—	2	1	no	—
1195	C₂²⋊C₄	—	2	1	no	—
1196	C₂²⋊C₄	—	2	1	no	—
1197	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1198	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1199	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1200	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1201	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1202	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1203	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1204	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1205	C₄²	—	2	1	no	—
1206	C₄²	—	2	2	no	—
1207	C₄²	—	2	2	no	—
1208	C₄²	—	2	1	no	—
1209	C₄²	—	2	1	no	—
1210	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1211	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1212	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1213	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1214	C₂²×C₃	—	2	1	no	—
1215	C₂²×C₃	—	2	1	no	—
1216	C₂²×C₃	—	2	1	no	—
1217	C₂²×C₃	—	2	1	no	—
1218	C₂²×C₃	—	2	1	no	—
1219	C₂²×C₃	—	2	1	no	—
1220	C₂²×C₃	—	2	1	no	—
1221	C₂²×C₃	—	2	1	no	—
1222	C₂²×C₃	—	2	1	no	—
1223	C₂²×C₃	—	2	1	no	—
1224	C₂²×C₃	—	2	2	no	—
1225	C₂²×C₃	—	2	1	no	—
1226	C₂²×C₃	—	2	1	no	—
1227	C₂²×C₃	—	2	1	no	—
1228	C₂²×C₃	—	4	4	no	—
1229	C₂²×C₃	—	4	1	no	—
1230	C₂²×C₃	—	4	1	no	—
1231	C₂²×C₃	—	4	2	no	—
1232	C₂²×C₃	—	4	1	no	—
1233	C₂²×C₃	—	4	1	no	—
1234	C₂²×C₃	—	4	1	no	—
1235	C₂²×C₃	—	4	1	no	—
1236	C₂²×C₃	—	4	2	no	—
1237	C₂²×C₃	—	4	1	no	—
1238	C₂²×C₃	—	4	1	no	—
1239	C₂²×C₃	—	4	2	no	—
1240	C₂²×C₃	—	8	2	no	—
1241	C₂²×C₃	—	8	4	no	—
1242	C₂²×C₃	—	8	4	no	—
1243	C₂²×C₃	—	8	4	no	—
1244	C₂²×C₃	#546	1	2	yes	—
1245	C₂²×C₃	#575	1	2	yes	—
1246	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1247	C₃×C₄	—	2	1	no	—
1248	C₃×C₄	—	2	1	no	—
1249	C₃×C₄	—	2	1	no	—
1250	C₃×C₄	—	2	1	no	—
1251	C₃×C₄	—	2	1	no	—
1252	C₃×C₄	—	2	1	no	—
1253	C₃×C₄	—	2	2	no	—
1254	C₃×C₄	—	2	1	no	—
1255	C₃×C₄	—	2	1	no	—
1256	C₃×C₄	—	4	2	no	—
1257	C₃×C₄	—	4	2	no	—
1258	C₃×C₄	—	4	1	no	—
1259	C₃×C₄	—	4	1	no	—
1260	C₃×C₄	—	4	1	no	—
1261	C₃×C₄	—	4	1	no	—
1262	C₃×C₄	—	4	2	no	—
1263	C₃×C₄	#546	1	2	yes	—
1264	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1265	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	4	1	no	—
1274	C₂³	—	4	1	no	—
1275	C₂³	—	4	1	no	—
1276	C₂³	—	4	2	no	—
1277	C₂³	—	4	2	no	—
1278	C₂³	—	4	2	no	—
1279	C₂³	—	4	2	no	—
1280	C₂³	—	4	2	no	—
1281	C₂³	—	4	2	no	—
1282	C₂³	—	4	2	no	—
1283	C₂³	—	8	1	no	—
1284	C₂³	—	8	1	no	—
1285	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1286	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1287	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1288	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1289	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1290	Q₈	—	2	1	no	—
1291	Q₈	—	2	1	no	—
1292	Q₈	—	2	1	no	—
1293	Q₈	—	2	1	no	—
1294	Q₈	—	2	1	no	—
1295	Q₈	—	4	2	no	—
1296	Q₈	—	4	2	no	—
1297	Q₈	C₂×C₃×#41	1	2	yes	—
1298	D₄	—	2	2	no	—
1299	D₄	—	2	2	no	—
1300	D₄	—	2	4	no	—
1301	D₄	—	2	2	no	—
1302	D₄	—	2	1	no	—
1303	D₄	—	2	1	no	—
1304	D₄	—	2	1	no	—
1305	D₄	—	2	2	no	—
1306	D₄	—	2	1	no	—
1307	D₄	—	2	1	no	—
1308	D₄	—	4	1	no	—
1309	D₄	—	4	1	no	—
1310	D₄	—	4	2	no	—
1311	D₄	—	4	2	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	4	2	no	—
1314	D₄	—	4	2	no	—
1315	D₄	—	4	2	no	—
1316	D₄	—	4	2	no	—
1317	D₄	—	4	2	no	—
1318	D₄	—	4	4	no	—
1319	D₄	—	4	2	no	—
1320	D₄	—	4	4	no	—
1321	D₄	—	4	2	no	—
1322	D₄	—	4	2	no	—
1323	D₄	—	4	2	no	—
1324	D₄	—	8	1	no	—
1325	D₄	—	8	2	no	—
1326	D₄	—	8	2	no	—
1327	D₄	—	8	1	no	—
1328	D₄	—	8	1	no	—
1329	D₄	C₂×C₃×#41	1	2	yes	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	2	no	—
1353	C₂×C₄	—	4	1	no	—
1354	C₂×C₄	—	4	1	no	—
1355	C₂×C₄	—	4	2	no	—
1356	C₂×C₄	—	4	2	no	—
1357	C₂×C₄	—	4	2	no	—
1358	C₂×C₄	—	4	2	no	—
1359	C₂×C₄	—	4	2	no	—
1360	C₂×C₄	—	4	2	no	—
1361	C₂×C₄	—	4	2	no	—
1362	C₂×C₄	—	4	2	no	—
1363	C₂×C₄	—	4	2	no	—
1364	C₂×C₄	—	4	2	no	—
1365	C₂×C₄	—	4	2	no	—
1366	C₂×C₄	—	4	2	no	—
1367	C₂×C₄	—	8	2	no	—
1368	C₂×C₄	—	8	2	no	—
1369	C₂×C₄	—	8	1	no	—
1370	C₂×C₄	—	8	2	no	—
1371	C₂×C₄	—	8	2	no	—
1372	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1373	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1374	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1375	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1376	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1377	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1378	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1379	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1380	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1381	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1382	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1383	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1384	C₈	—	2	2	no	—
1385	C₈	—	2	2	no	—
1386	C₈	—	2	2	no	—
1387	C₈	—	2	2	no	—
1388	C₂×C₃	—	2	2	no	—
1389	C₂×C₃	—	2	2	no	—
1390	C₂×C₃	—	4	1	no	—
1391	C₂×C₃	—	4	1	no	—
1392	C₂×C₃	—	4	1	no	—
1393	C₂×C₃	—	4	2	no	—
1394	C₂×C₃	—	8	2	no	—
1395	C₂×C₃	—	8	1	no	—
1396	C₂×C₃	—	8	1	no	—
1397	C₂×C₃	C₂×#546	1	1	yes	characteristic
1398	C₂×C₃	C₂×#575	1	1	yes	characteristic
1399	C₂×C₃	#3585	1	1	yes	characteristic
1400	C₂²	—	2	1	no	—
1401	C₂²	—	2	1	no	—
1402	C₂²	—	2	1	no	—
1403	C₂²	—	2	1	no	—
1404	C₂²	—	2	1	no	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	1	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	1	no	—
1411	C₂²	—	2	1	no	—
1412	C₂²	—	2	1	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	4	4	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	2	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	2	no	—
1423	C₂²	—	4	2	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	8	2	no	—
1427	C₂²	—	8	4	no	—
1428	C₂²	—	8	4	no	—
1429	C₂²	—	8	4	no	—
1430	C₂²	C₃×#546	1	2	yes	—
1431	C₂²	C₃×#575	1	2	yes	—
1432	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1433	C₄	—	2	1	no	—
1434	C₄	—	2	1	no	—
1435	C₄	—	2	1	no	—
1436	C₄	—	2	1	no	—
1437	C₄	—	2	2	no	—
1438	C₄	—	2	1	no	—
1439	C₄	—	2	1	no	—
1440	C₄	—	2	1	no	—
1441	C₄	—	2	1	no	—
1442	C₄	—	4	1	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	2	no	—
1446	C₄	—	4	2	no	—
1447	C₄	—	4	2	no	—
1448	C₄	—	4	1	no	—
1449	C₄	C₃×#546	1	2	yes	—
1450	C₄	C₂²×C₃×#41	1	1	yes	characteristic
1451	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1452	C₃	#61164	1	1	yes	characteristic, direct product factor, Sylow
1453	C₂	—	2	2	no	—
1454	C₂	—	2	2	no	—
1455	C₂	—	4	1	no	—
1456	C₂	—	4	1	no	—
1457	C₂	—	4	1	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	8	1	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	8	2	no	—
1462	C₂	C₂×C₃×#546	1	1	yes	characteristic
1463	C₂	C₂×C₃×#575	1	1	yes	characteristic
1464	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×#553	C₂	semidirect
2. C₃×D₄×#41	C₂	semidirect
3. C₃×#3326	C₂	semidirect
4. C₃×#3322	C₂	semidirect
5. C₃×#3320	C₂	semidirect
6. C₃×#3318	C₂	semidirect
7. C₃×#3309	C₂	semidirect
8. C₃×#3307	C₂	semidirect
9. C₃×#3301	C₂	semidirect
10. C₃×#3297	C₂	semidirect
11. C₃×#3142	C₂	semidirect
12. C₃×#3093	C₂	semidirect
13. C₃×#3092	C₂	semidirect
14. C₃×#3080	C₂	semidirect
15. C₃×#3055	C₂	semidirect
16. C₃×#3055	C₂	semidirect
17. C₃×#3036	C₂	semidirect
18. C₃×#3006	C₂	semidirect
19. C₃×#3006	C₂	semidirect
20. C₃×C₄×AGL(1,ℤ/8)	C₂	semidirect
21. C₃×D₄×M₁₆	C₂	semidirect
22. C₃×#2896	C₂	semidirect
23. C₂×C₃×#417	C₂	semidirect
24. #61164	C₃	direct (N × H)
28. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
29. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
30. C₂²×C₃×M₁₆	C₂²	semidirect
31. C₂²×C₃×M₁₆	C₂²	semidirect
37. C₃×#553	C₂²	semidirect
38. C₃×#553	C₂²	semidirect
39. C₃×#553	C₂²	semidirect
40. C₃×#550	C₂²	semidirect
41. C₃×D₄×Q₈	C₂²	semidirect
42. C₃×#548	C₂²	semidirect
43. C₃×#548	C₂²	semidirect
45. C₃×#547	C₂²	semidirect
48. C₃×#546	C₂²	semidirect
49. C₃×#546	C₂²	semidirect
51. C₃×D₄²	C₂²	semidirect
55. C₂×C₃×#125	C₂²	semidirect
62. C₂×C₃×#121	C₂²	semidirect
63. C₂×C₃×#121	C₂²	semidirect
68. C₂×C₃×C₄×D₄	C₂²	semidirect
69. C₂×C₃×#117	C₂²	semidirect
70. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
71. C₃×#491	C₂²	semidirect
72. C₃×#490	C₂²	semidirect
73. C₃×#488	C₂²	semidirect
74. C₃×#488	C₂²	semidirect
75. C₃×#485	C₂²	semidirect
76. C₃×#485	C₂²	semidirect
77. C₃×#484	C₂²	semidirect
78. C₃×#483	C₂²	semidirect
79. C₃×#482	C₂²	semidirect
80. C₃×#482	C₂²	semidirect
81. C₃×#481	C₂²	semidirect
82. C₃×#480	C₂²	semidirect
83. C₃×#479	C₂²	semidirect
84. C₃×#479	C₂²	semidirect
85. C₃×#478	C₂²	semidirect
86. C₃×#478	C₂²	semidirect
87. C₃×#469	C₂²	semidirect
88. C₃×#469	C₂²	semidirect
89. C₃×#468	C₂²	semidirect
90. C₃×#468	C₂²	semidirect
91. C₃×#466	C₂²	semidirect
92. C₃×#466	C₂²	semidirect
93. C₃×#465	C₂²	semidirect
94. C₃×#465	C₂²	semidirect
95. C₃×#463	C₂²	semidirect
96. C₃×#463	C₂²	semidirect
97. C₃×#461	C₂²	semidirect
98. C₃×#459	C₂²	semidirect
99. C₃×#449	C₂²	semidirect
100. C₃×#449	C₂²	semidirect
101. C₃×#449	C₂²	semidirect
102. C₃×#449	C₂²	semidirect
103. C₃×#448	C₂²	semidirect
104. C₃×#448	C₂²	semidirect
105. C₃×#447	C₂²	semidirect
106. C₃×#447	C₂²	semidirect
107. C₃×#442	C₂²	semidirect
108. C₃×#440	C₂²	semidirect
109. C₃×C₄×SD₁₆	C₂²	semidirect
110. C₃×C₄×D₈	C₂²	semidirect
111. C₃×#436	C₂²	semidirect
112. C₃×#435	C₂²	semidirect
113. C₃×#435	C₂²	semidirect
114. C₃×C₈×D₄	C₂²	semidirect
115. C₃×#428	C₂²	semidirect
116. C₃×#428	C₂²	semidirect
117. C₃×#428	C₂²	semidirect
118. C₃×#423	C₂²	semidirect
119. C₃×#419	C₂²	semidirect
120. C₃×#418	C₂²	semidirect
121. C₃×#418	C₂²	semidirect
125. C₃×#417	C₂²	semidirect
126. C₃×#417	C₂²	semidirect
127. C₃×#417	C₂²	semidirect
128. C₃×#417	C₂²	semidirect
129. C₃×#417	C₂²	semidirect
130. C₃×#417	C₂²	semidirect
131. C₃×#417	C₂²	semidirect
132. C₃×#417	C₂²	semidirect
133. C₃×#416	C₂²	semidirect
134. C₃×#416	C₂²	semidirect
135. C₂×C₃×#103	C₂²	semidirect
136. C₂×C₃×#102	C₂²	semidirect
137. C₃×#407	C₂²	semidirect
138. C₃×#407	C₂²	semidirect
139. C₃×C₄×M₁₆	C₂²	semidirect
140. C₂×#553	C₂×C₃	semidirect
141. D₄×#41	C₂×C₃	semidirect
142. #3326	C₂×C₃	semidirect
143. #3322	C₂×C₃	semidirect
144. #3320	C₂×C₃	semidirect
145. #3318	C₂×C₃	semidirect
146. #3309	C₂×C₃	semidirect
147. #3307	C₂×C₃	semidirect
148. #3301	C₂×C₃	semidirect
149. #3297	C₂×C₃	semidirect
150. #3142	C₂×C₃	semidirect
151. #3093	C₂×C₃	semidirect
152. #3092	C₂×C₃	semidirect
153. #3080	C₂×C₃	semidirect
154. #3055	C₂×C₃	semidirect
155. #3055	C₂×C₃	semidirect
156. #3036	C₂×C₃	semidirect
157. #3006	C₂×C₃	semidirect
158. #3006	C₂×C₃	semidirect
159. C₄×AGL(1,ℤ/8)	C₂×C₃	semidirect
160. D₄×M₁₆	C₂×C₃	semidirect
161. #2896	C₂×C₃	semidirect
162. C₂×#417	C₂×C₃	semidirect
378. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
379. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
380. C₂²×M₁₆	C₂²×C₃	semidirect
381. C₂²×M₁₆	C₂²×C₃	semidirect
387. #553	C₂²×C₃	semidirect
388. #553	C₂²×C₃	semidirect
389. #553	C₂²×C₃	semidirect
390. #550	C₂²×C₃	semidirect
391. D₄×Q₈	C₂²×C₃	semidirect
392. #548	C₂²×C₃	semidirect
393. #548	C₂²×C₃	semidirect
395. #547	C₂²×C₃	semidirect
398. #546	C₂²×C₃	semidirect
399. #546	C₂²×C₃	semidirect
401. D₄²	C₂²×C₃	semidirect
405. C₂×#125	C₂²×C₃	semidirect
412. C₂×#121	C₂²×C₃	semidirect
413. C₂×#121	C₂²×C₃	semidirect
418. C₂×C₄×D₄	C₂²×C₃	semidirect
419. C₂×#117	C₂²×C₃	semidirect
420. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
421. #491	C₂²×C₃	semidirect
422. #490	C₂²×C₃	semidirect
423. #488	C₂²×C₃	semidirect
424. #488	C₂²×C₃	semidirect
425. #485	C₂²×C₃	semidirect
426. #485	C₂²×C₃	semidirect
427. #484	C₂²×C₃	semidirect
428. #483	C₂²×C₃	semidirect
429. #482	C₂²×C₃	semidirect
430. #482	C₂²×C₃	semidirect
431. #481	C₂²×C₃	semidirect
432. #480	C₂²×C₃	semidirect
433. #479	C₂²×C₃	semidirect
434. #479	C₂²×C₃	semidirect
435. #478	C₂²×C₃	semidirect
436. #478	C₂²×C₃	semidirect
437. #469	C₂²×C₃	semidirect
438. #469	C₂²×C₃	semidirect
439. #468	C₂²×C₃	semidirect
440. #468	C₂²×C₃	semidirect
441. #466	C₂²×C₃	semidirect
442. #466	C₂²×C₃	semidirect
443. #465	C₂²×C₃	semidirect
444. #465	C₂²×C₃	semidirect
445. #463	C₂²×C₃	semidirect
446. #463	C₂²×C₃	semidirect
447. #461	C₂²×C₃	semidirect
448. #459	C₂²×C₃	semidirect
449. #449	C₂²×C₃	semidirect
450. #449	C₂²×C₃	semidirect
451. #449	C₂²×C₃	semidirect
452. #449	C₂²×C₃	semidirect
453. #448	C₂²×C₃	semidirect
454. #448	C₂²×C₃	semidirect
455. #447	C₂²×C₃	semidirect
456. #447	C₂²×C₃	semidirect
457. #442	C₂²×C₃	semidirect
458. #440	C₂²×C₃	semidirect
459. C₄×SD₁₆	C₂²×C₃	semidirect
460. C₄×D₈	C₂²×C₃	semidirect
461. #436	C₂²×C₃	semidirect
462. #435	C₂²×C₃	semidirect
463. #435	C₂²×C₃	semidirect
464. C₈×D₄	C₂²×C₃	semidirect
465. #428	C₂²×C₃	semidirect
466. #428	C₂²×C₃	semidirect
467. #428	C₂²×C₃	semidirect
468. #423	C₂²×C₃	semidirect
469. #419	C₂²×C₃	semidirect
470. #418	C₂²×C₃	semidirect
471. #418	C₂²×C₃	semidirect
475. #417	C₂²×C₃	semidirect
476. #417	C₂²×C₃	semidirect
477. #417	C₂²×C₃	semidirect
478. #417	C₂²×C₃	semidirect
479. #417	C₂²×C₃	semidirect
480. #417	C₂²×C₃	semidirect
481. #417	C₂²×C₃	semidirect
482. #417	C₂²×C₃	semidirect
483. #416	C₂²×C₃	semidirect
484. #416	C₂²×C₃	semidirect
485. C₂×#103	C₂²×C₃	semidirect
486. C₂×#102	C₂²×C₃	semidirect
487. #407	C₂²×C₃	semidirect
488. #407	C₂²×C₃	semidirect
489. C₄×M₁₆	C₂²×C₃	semidirect
1452. C₃	#61164	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×#553	2
C₃×D₄×#41	2
C₃×#3326	2
C₃×#3322	2
C₃×#3320	2
C₃×#3318	2
C₃×#3309	2
C₃×#3307	2
C₃×#3301	2
C₃×#3297	2
C₃×#3142	2
C₃×#3093	2
C₃×#3092	2
C₃×#3080	2
C₃×#3055	2
C₃×#3036	2
C₃×#3006	2
C₃×C₄×AGL(1,ℤ/8)	2
C₃×D₄×M₁₆	2
C₃×#2896	2
C₂×C₃×#417	2
#61164	3

Subgroups — C3×#61164 #10679771

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61164 #10679771