Subgroups — #10959601

Order 768.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#539	C₂	1	1	yes	maximal, characteristic
2	#83076	C₂	1	1	yes	maximal, characteristic, complemented
3	#83075	C₂	1	1	yes	maximal, characteristic, complemented
4	#83074	C₂	1	1	yes	maximal, characteristic, complemented
5	Dic₃×#126	C₂	1	1	yes	maximal, characteristic, complemented
6	#83024	C₂	1	1	yes	maximal, characteristic, complemented
7	#83024	C₂	1	1	yes	maximal, characteristic, complemented
8	#83023	C₂	1	1	yes	maximal, characteristic, complemented
9	Dic₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
10	#82840	C₂	1	1	yes	maximal, characteristic, complemented
11	#82840	C₂	1	1	yes	maximal, characteristic, complemented
12	#82839	C₂	1	1	yes	maximal, characteristic, complemented
13	#82839	C₂	1	1	yes	maximal, characteristic, complemented
14	#82838	C₂	1	1	yes	maximal, characteristic, complemented
15	#82838	C₂	1	1	yes	maximal, characteristic, complemented
16	#82837	C₂	1	1	yes	maximal, characteristic, complemented
17	#82837	C₂	1	1	yes	maximal, characteristic, complemented
18	#82750	C₂	1	1	yes	maximal, characteristic, complemented
19	#82749	C₂	1	1	yes	maximal, characteristic, complemented
20	#82748	C₂	1	1	yes	maximal, characteristic, complemented
21	#82748	C₂	1	1	yes	maximal, characteristic, complemented
22	#82745	C₂	1	1	yes	maximal, characteristic, complemented
23	#82744	C₂	1	1	yes	maximal, characteristic, complemented
24	#82635	C₂	1	1	yes	maximal, characteristic
25	#82633	C₂	1	1	yes	maximal, characteristic
26	#82337	C₂	1	1	yes	maximal, characteristic, complemented
27	#82336	C₂	1	1	yes	maximal, characteristic, complemented
28	#82324	C₂	1	1	yes	maximal, characteristic, complemented
29	#82319	C₂	1	1	yes	maximal, characteristic, complemented
30	#82160	C₂	1	1	yes	maximal, characteristic, complemented
31	#82159	C₂	1	1	yes	maximal, characteristic, complemented
32	#34452	—	3	1	no	maximal, Sylow
33	C₃×#539	C₄	1	16	yes	complemented
34	C₂×C₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#125	C₂²	1	1	yes	characteristic
37	C₂×C₃×#125	C₂²	1	1	yes	characteristic
38	C₂×C₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₃×#123	C₂²	1	1	yes	characteristic
42	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₃×#121	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
48	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic
50	C₂×D₄×Dic₃	C₂²	1	1	yes	characteristic
51	C₂×#926	C₂²	1	1	yes	characteristic
52	C₂×#926	C₂²	1	1	yes	characteristic
53	C₂×#926	C₂²	1	1	yes	characteristic
54	C₂×#926	C₂²	1	1	yes	characteristic
55	#5229	C₂²	1	1	yes	characteristic
56	#5229	C₂²	1	1	yes	characteristic
57	#5229	C₂²	1	1	yes	characteristic
58	#5221	C₂²	1	1	yes	characteristic
59	#5221	C₂²	1	1	yes	characteristic
60	#5221	C₂²	1	1	yes	characteristic
61	#5221	C₂²	1	1	yes	characteristic
62	#5221	C₂²	1	1	yes	characteristic
63	#5220	C₂²	1	1	yes	characteristic
64	#5220	C₂²	1	1	yes	characteristic
65	#5220	C₂²	1	1	yes	characteristic
66	#5220	C₂²	1	1	yes	characteristic
67	#5220	C₂²	1	1	yes	characteristic
68	#5220	C₂²	1	1	yes	characteristic
69	#5212	C₂²	1	1	yes	characteristic
70	#5212	C₂²	1	1	yes	characteristic
71	#5212	C₂²	1	1	yes	characteristic
72	#5212	C₂²	1	1	yes	characteristic
73	#5212	C₂²	1	1	yes	characteristic
74	#5212	C₂²	1	1	yes	characteristic
75	#5211	C₂²	1	1	yes	characteristic
76	#5211	C₂²	1	1	yes	characteristic
77	C₄×#217	C₂²	1	1	yes	characteristic
78	C₄×#217	C₂²	1	1	yes	characteristic
79	C₄×#217	C₂²	1	1	yes	characteristic
80	C₄×#217	C₂²	1	1	yes	characteristic
81	C₄×#217	C₂²	1	1	yes	characteristic
82	C₄×#217	C₂²	1	1	yes	characteristic
83	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
84	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
85	#4984	C₂²	1	1	yes	characteristic
86	#4984	C₂²	1	1	yes	characteristic
87	#4984	C₂²	1	1	yes	characteristic
88	#4984	C₂²	1	1	yes	characteristic
89	#4984	C₂²	1	1	yes	characteristic
90	#4984	C₂²	1	1	yes	characteristic
91	#4984	C₂²	1	1	yes	characteristic
92	#4984	C₂²	1	1	yes	characteristic
93	#4984	C₂²	1	1	yes	characteristic
94	#4984	C₂²	1	1	yes	characteristic
95	#4984	C₂²	1	1	yes	characteristic
96	#4984	C₂²	1	1	yes	characteristic
97	#4984	C₂²	1	1	yes	characteristic
98	#4984	C₂²	1	1	yes	characteristic
99	#4980	C₂²	1	1	yes	characteristic
100	#4980	C₂²	1	1	yes	characteristic
101	#4980	C₂²	1	1	yes	characteristic
102	#4980	C₂²	1	1	yes	characteristic
103	#4980	C₂²	1	1	yes	characteristic
104	#4980	C₂²	1	1	yes	characteristic
105	#4980	C₂²	1	1	yes	characteristic
106	#4980	C₂²	1	1	yes	characteristic
107	#4980	C₂²	1	1	yes	characteristic
108	#4980	C₂²	1	1	yes	characteristic
109	#4980	C₂²	1	1	yes	characteristic
110	#4980	C₂²	1	1	yes	characteristic
111	#4980	C₂²	1	1	yes	characteristic
112	#4980	C₂²	1	1	yes	characteristic
113	#4980	C₂²	1	1	yes	characteristic
114	#4980	C₂²	1	1	yes	characteristic
115	#4980	C₂²	1	1	yes	characteristic
116	#4980	C₂²	1	1	yes	characteristic
117	#4980	C₂²	1	1	yes	characteristic
118	#4980	C₂²	1	1	yes	characteristic
119	#4980	C₂²	1	1	yes	characteristic
120	#4980	C₂²	1	1	yes	characteristic
121	#4980	C₂²	1	1	yes	characteristic
122	#4980	C₂²	1	1	yes	characteristic
123	#4980	C₂²	1	1	yes	characteristic
124	#4980	C₂²	1	1	yes	characteristic
125	#4980	C₂²	1	1	yes	characteristic
126	#4980	C₂²	1	1	yes	characteristic
127	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
128	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
129	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
130	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
131	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
132	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
133	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
134	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
135	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
136	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
137	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
138	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
139	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
140	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
141	#4951	C₂²	1	1	yes	characteristic
142	#4951	C₂²	1	1	yes	characteristic
143	#4951	C₂²	1	1	yes	characteristic
144	#4951	C₂²	1	1	yes	characteristic
145	#4951	C₂²	1	1	yes	characteristic
146	#4951	C₂²	1	1	yes	characteristic
147	#4951	C₂²	1	1	yes	characteristic
148	#4951	C₂²	1	1	yes	characteristic
149	#4951	C₂²	1	1	yes	characteristic
150	#4951	C₂²	1	1	yes	characteristic
151	#4951	C₂²	1	1	yes	characteristic
152	#4951	C₂²	1	1	yes	characteristic
153	#4951	C₂²	1	1	yes	characteristic
154	#4951	C₂²	1	1	yes	characteristic
155	#4951	C₂²	1	1	yes	characteristic
156	#4951	C₂²	1	1	yes	characteristic
157	#4951	C₂²	1	1	yes	characteristic
158	#4951	C₂²	1	1	yes	characteristic
159	#4951	C₂²	1	1	yes	characteristic
160	#4951	C₂²	1	1	yes	characteristic
161	#4951	C₂²	1	1	yes	characteristic
162	#4951	C₂²	1	1	yes	characteristic
163	#4951	C₂²	1	1	yes	characteristic
164	#4951	C₂²	1	1	yes	characteristic
165	#4950	C₂²	1	1	yes	characteristic
166	#4950	C₂²	1	1	yes	characteristic
167	#4950	C₂²	1	1	yes	characteristic
168	#4950	C₂²	1	1	yes	characteristic
169	#4950	C₂²	1	1	yes	characteristic
170	#4950	C₂²	1	1	yes	characteristic
171	#4950	C₂²	1	1	yes	characteristic
172	#4950	C₂²	1	1	yes	characteristic
173	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	#4937	C₂²	1	1	yes	characteristic
182	#4937	C₂²	1	1	yes	characteristic
183	#4936	C₂²	1	1	yes	characteristic
184	#4935	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
187	#4932	C₂²	1	1	yes	characteristic
188	C₄²×Dic₃	C₂²	1	1	yes	characteristic
189	C₂×#539	D₃	1	1	yes	characteristic
190	#2383	—	3	1	no	—
191	#2378	—	3	1	no	—
192	#2376	—	3	1	no	—
193	#2376	—	3	1	no	—
194	#2374	—	3	1	no	—
195	#2374	—	3	1	no	—
196	#2373	—	3	1	no	—
197	#2368	—	3	1	no	—
198	#2362	—	3	1	no	—
199	#2362	—	3	1	no	—
200	#2359	—	3	1	no	—
201	#2359	—	3	1	no	—
202	#2354	—	3	1	no	—
203	#2353	—	3	1	no	—
204	#2345	—	3	1	no	—
205	#2344	—	3	1	no	—
206	#2336	—	3	1	no	—
207	#2336	—	3	1	no	—
208	#2335	—	3	1	no	—
209	#2335	—	3	1	no	—
210	#2334	—	3	1	no	—
211	#2333	—	3	1	no	—
212	#2330	—	3	1	no	—
213	#2329	—	3	1	no	—
214	#2324	—	3	1	no	—
215	#2323	—	3	1	no	—
216	#2318	—	3	1	no	—
217	C₄×#125	—	3	1	no	—
218	C₄×#126	—	3	1	no	—
219	#2293	—	3	1	no	—
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
222	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
225	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
229	C₂³×Dic₃	C₂³	1	1	yes	characteristic
230	C₂³×Dic₃	C₂³	1	1	yes	characteristic
231	C₂³×Dic₃	C₂³	1	1	yes	characteristic
232	C₂³×Dic₃	C₂³	1	1	yes	characteristic
233	C₃×#126	C₂×C₄	1	8	yes	complemented
234	C₃×#126	C₂×C₄	1	8	yes	complemented
235	C₃×#125	C₂×C₄	1	8	yes	complemented
236	C₃×#125	C₂×C₄	1	8	yes	complemented
237	C₃×#123	C₂×C₄	1	8	yes	—
238	C₃×#123	C₂×C₄	1	8	yes	—
239	C₃×#123	C₂×C₄	1	8	yes	complemented
240	C₃×#123	C₂×C₄	1	8	yes	complemented
241	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
242	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
243	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
244	C₃×#121	C₂×C₄	1	8	yes	—
245	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
246	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
247	C₂×C₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
274	C₂×#217	C₂³	1	1	yes	characteristic
275	C₂×#217	C₂³	1	1	yes	characteristic
276	C₂×#217	C₂³	1	1	yes	characteristic
277	C₂×#217	C₂³	1	1	yes	characteristic
278	C₂×#217	C₂³	1	1	yes	characteristic
279	C₂×#217	C₂³	1	1	yes	characteristic
280	C₂×#217	C₂³	1	1	yes	characteristic
281	C₂×#217	C₂³	1	1	yes	characteristic
282	C₂×#217	C₂³	1	1	yes	characteristic
283	C₂×#217	C₂³	1	1	yes	characteristic
284	C₂×#217	C₂³	1	1	yes	characteristic
285	C₂×#217	C₂³	1	1	yes	characteristic
286	C₂×#217	C₂³	1	1	yes	characteristic
287	C₂×#217	C₂³	1	1	yes	characteristic
288	C₂×#217	C₂³	1	1	yes	characteristic
289	C₂×#217	C₂³	1	1	yes	characteristic
290	C₂×#217	C₂³	1	1	yes	characteristic
291	C₂×#217	C₂³	1	1	yes	characteristic
292	C₂×#217	C₂³	1	1	yes	characteristic
293	C₂×#217	C₂³	1	1	yes	characteristic
294	Q₈×Dic₃	—	4	2	no	—
295	D₄×Dic₃	—	4	2	no	—
296	#926	—	4	2	no	—
297	#926	—	4	2	no	—
298	#926	—	4	2	no	—
299	#926	—	4	2	no	—
300	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
328	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
330	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
331	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
332	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
333	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
334	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
335	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
336	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
337	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
338	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
339	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
340	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
341	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
342	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
343	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
344	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
345	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
346	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
347	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
348	C₃⋊#95	C₂³	1	1	yes	characteristic
349	C₃⋊#95	C₂³	1	1	yes	characteristic
350	C₃⋊#95	C₂³	1	1	yes	characteristic
351	C₃⋊#95	C₂³	1	1	yes	characteristic
352	C₃⋊#95	C₂³	1	1	yes	characteristic
353	C₃⋊#95	C₂³	1	1	yes	characteristic
354	C₃⋊#95	C₂³	1	1	yes	characteristic
355	C₃⋊#95	C₂³	1	1	yes	characteristic
356	C₃⋊#95	C₂³	1	1	yes	characteristic
357	C₃⋊#95	C₂³	1	1	yes	characteristic
358	C₃⋊#95	C₂³	1	1	yes	characteristic
359	C₃⋊#95	C₂³	1	1	yes	characteristic
360	C₃⋊#95	C₂³	1	1	yes	characteristic
361	C₃⋊#95	C₂³	1	1	yes	characteristic
362	C₃⋊#95	C₂³	1	1	yes	characteristic
363	C₃⋊#95	C₂³	1	1	yes	characteristic
364	C₃⋊#95	C₂³	1	1	yes	characteristic
365	C₃⋊#95	C₂³	1	1	yes	characteristic
366	C₃⋊#95	C₂³	1	1	yes	characteristic
367	C₃⋊#95	C₂³	1	1	yes	characteristic
368	C₃⋊#95	C₂³	1	1	yes	characteristic
369	C₃⋊#95	C₂³	1	1	yes	characteristic
370	C₃⋊#95	C₂³	1	1	yes	characteristic
371	C₃⋊#95	C₂³	1	1	yes	characteristic
372	C₃⋊#95	C₂³	1	1	yes	characteristic
373	C₃⋊#95	C₂³	1	1	yes	characteristic
374	C₃⋊#95	C₂³	1	1	yes	characteristic
375	C₃⋊#95	C₂³	1	1	yes	characteristic
376	C₃⋊#95	C₂³	1	1	yes	characteristic
377	C₃⋊#95	C₂³	1	1	yes	characteristic
378	C₃⋊#95	C₂³	1	1	yes	characteristic
379	C₃⋊#95	C₂³	1	1	yes	characteristic
380	C₃⋊#95	C₂³	1	1	yes	characteristic
381	C₃⋊#95	C₂³	1	1	yes	characteristic
382	C₃⋊#95	C₂³	1	1	yes	characteristic
383	C₃⋊#95	C₂³	1	1	yes	characteristic
384	C₃⋊#95	C₂³	1	1	yes	characteristic
385	C₃⋊#95	C₂³	1	1	yes	characteristic
386	C₃⋊#95	C₂³	1	1	yes	characteristic
387	C₃⋊#95	C₂³	1	1	yes	characteristic
388	C₃⋊#95	C₂³	1	1	yes	characteristic
389	C₃⋊#95	C₂³	1	1	yes	characteristic
390	C₃⋊#95	C₂³	1	1	yes	characteristic
391	C₃⋊#95	C₂³	1	1	yes	characteristic
392	C₃⋊#95	C₂³	1	1	yes	characteristic
393	C₃⋊#95	C₂³	1	1	yes	characteristic
394	C₃⋊#95	C₂³	1	1	yes	characteristic
395	C₃⋊#95	C₂³	1	1	yes	characteristic
396	#539	Dic₃	1	16	yes	complemented
397	C₂×#126	C₂×D₃	1	1	yes	characteristic
398	C₂×#126	C₂×D₃	1	1	yes	characteristic
399	C₂×#125	C₂×D₃	1	1	yes	characteristic
400	C₂×#125	C₂×D₃	1	1	yes	characteristic
401	C₂×#123	C₂×D₃	1	1	yes	characteristic
402	C₂×#123	C₂×D₃	1	1	yes	characteristic
403	C₂×#123	C₂×D₃	1	1	yes	characteristic
404	C₂×#123	C₂×D₃	1	1	yes	characteristic
405	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
406	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
407	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
408	C₂×#121	C₂×D₃	1	1	yes	characteristic
409	C₂×C₄×Q₈	—	3	1	no	—
410	C₂×C₄×D₄	—	3	1	no	—
411	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
412	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
413	C₂×#117	—	3	1	no	—
414	C₂×#117	—	3	1	no	—
415	C₂×#117	—	3	1	no	—
416	C₂×#117	—	3	1	no	—
417	C₂²×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
418	#391	—	3	1	no	—
419	#391	—	3	1	no	—
420	#391	—	3	1	no	—
421	#390	—	3	1	no	—
422	#390	—	3	1	no	—
423	#390	—	3	1	no	—
424	#390	—	3	1	no	—
425	#390	—	3	1	no	—
426	#389	—	3	1	no	—
427	#389	—	3	1	no	—
428	#389	—	3	1	no	—
429	#389	—	3	1	no	—
430	#389	—	3	1	no	—
431	#389	—	3	1	no	—
432	#389	—	3	1	no	—
433	#389	—	3	1	no	—
434	#389	—	3	1	no	—
435	#389	—	3	1	no	—
436	#389	—	3	1	no	—
437	#389	—	3	1	no	—
438	#389	—	3	1	no	—
439	#389	—	3	1	no	—
440	#388	—	3	1	no	—
441	#388	—	3	1	no	—
442	#388	—	3	1	no	—
443	#388	—	3	1	no	—
444	#388	—	3	1	no	—
445	#388	—	3	1	no	—
446	#388	—	3	1	no	—
447	#388	—	3	1	no	—
448	#388	—	3	1	no	—
449	#388	—	3	1	no	—
450	#388	—	3	1	no	—
451	#388	—	3	1	no	—
452	#388	—	3	1	no	—
453	#388	—	3	1	no	—
454	#388	—	3	1	no	—
455	#388	—	3	1	no	—
456	#388	—	3	1	no	—
457	#388	—	3	1	no	—
458	#388	—	3	1	no	—
459	#388	—	3	1	no	—
460	#388	—	3	1	no	—
461	#388	—	3	1	no	—
462	#388	—	3	1	no	—
463	#388	—	3	1	no	—
464	#387	—	3	1	no	—
465	#387	—	3	1	no	—
466	#387	—	3	1	no	—
467	#387	—	3	1	no	—
468	#387	—	3	1	no	—
469	#387	—	3	1	no	—
470	#387	—	3	1	no	—
471	#387	—	3	1	no	—
472	#387	—	3	1	no	—
473	#387	—	3	1	no	—
474	#387	—	3	1	no	—
475	#387	—	3	1	no	—
476	#387	—	3	1	no	—
477	#387	—	3	1	no	—
478	#387	—	3	1	no	—
479	#387	—	3	1	no	—
480	#387	—	3	1	no	—
481	#387	—	3	1	no	—
482	#387	—	3	1	no	—
483	#387	—	3	1	no	—
484	#387	—	3	1	no	—
485	#387	—	3	1	no	—
486	#387	—	3	1	no	—
487	#387	—	3	1	no	—
488	#387	—	3	1	no	—
489	#387	—	3	1	no	—
490	#387	—	3	1	no	—
491	#387	—	3	1	no	—
492	#386	—	3	1	no	—
493	#386	—	3	1	no	—
494	#386	—	3	1	no	—
495	#386	—	3	1	no	—
496	#386	—	3	1	no	—
497	#386	—	3	1	no	—
498	#385	—	3	1	no	—
499	#385	—	3	1	no	—
500	#385	—	3	1	no	—
501	#385	—	3	1	no	—
502	#385	—	3	1	no	—
503	#385	—	3	1	no	—
504	#385	—	3	1	no	—
505	#385	—	3	1	no	—
506	#384	—	3	1	no	—
507	#383	—	3	1	no	—
508	#383	—	3	1	no	—
509	#382	—	3	1	no	—
510	#381	—	3	1	no	—
511	#381	—	3	1	no	—
512	#380	—	3	1	no	—
513	#380	—	3	1	no	—
514	#380	—	3	1	no	—
515	#380	—	3	1	no	—
516	#380	—	3	1	no	—
517	#380	—	3	1	no	—
518	C₄×C₄⋊C₄	—	3	1	no	—
519	C₄×C₄⋊C₄	—	3	1	no	—
520	C₄×C₄⋊C₄	—	3	1	no	—
521	C₄×C₄⋊C₄	—	3	1	no	—
522	C₄×C₄⋊C₄	—	3	1	no	—
523	C₄×C₄⋊C₄	—	3	1	no	—
524	C₄×C₄⋊C₄	—	3	1	no	—
525	C₄×C₄⋊C₄	—	3	1	no	—
526	C₄×C₄⋊C₄	—	3	1	no	—
527	C₄×C₄⋊C₄	—	3	1	no	—
528	C₄×C₄⋊C₄	—	3	1	no	—
529	C₄×C₄⋊C₄	—	3	1	no	—
530	C₄×C₄⋊C₄	—	3	1	no	—
531	C₄×C₄⋊C₄	—	3	1	no	—
532	C₄×C₄⋊C₄	—	3	1	no	—
533	C₄×C₄⋊C₄	—	3	1	no	—
534	C₄×C₂²⋊C₄	—	3	1	no	—
535	C₄×C₂²⋊C₄	—	3	1	no	—
536	C₄×C₂²⋊C₄	—	3	1	no	—
537	C₄×C₂²⋊C₄	—	3	1	no	—
538	C₄×C₂²⋊C₄	—	3	1	no	—
539	C₄×C₂²⋊C₄	—	3	1	no	—
540	C₄×C₂²⋊C₄	—	3	1	no	—
541	C₄×C₂²⋊C₄	—	3	1	no	—
542	C₄×C₂²⋊C₄	—	3	1	no	—
543	C₄×C₂²⋊C₄	—	3	1	no	—
544	C₄×C₂²⋊C₄	—	3	1	no	—
545	C₄×C₂²⋊C₄	—	3	1	no	—
546	C₄×C₂²⋊C₄	—	3	1	no	—
547	C₄×C₂²⋊C₄	—	3	1	no	—
548	#376	—	3	1	no	—
549	C₂×#95	—	3	1	no	—
550	C₂×#95	—	3	1	no	—
551	C₄³	—	3	1	no	—
552	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
554	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₃×Q₈	—	4	1	no	—
556	C₂×C₃×Q₈	—	4	1	no	—
557	C₂×C₃×Q₈	C₂²×C₄	1	4	yes	—
558	C₂×C₃×D₄	—	4	1	no	—
559	C₂×C₃×D₄	—	4	1	no	—
560	C₂×C₃×D₄	—	4	1	no	—
561	C₂×C₃×D₄	—	4	1	no	—
562	C₂×C₃×D₄	—	4	1	no	—
563	C₂×C₃×D₄	—	4	1	no	—
564	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
565	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
566	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
567	C₂²×C₃×C₄	—	4	1	no	—
568	C₂²×C₃×C₄	—	4	1	no	—
569	C₂²×C₃×C₄	—	4	1	no	—
570	C₂²×C₃×C₄	—	4	1	no	—
571	C₂²×C₃×C₄	—	4	1	no	—
572	C₂²×C₃×C₄	—	4	1	no	—
573	C₂²×C₃×C₄	—	4	1	no	—
574	C₂²×C₃×C₄	—	4	1	no	—
575	C₂²×C₃×C₄	—	4	1	no	—
576	C₂²×C₃×C₄	—	4	1	no	—
577	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
578	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
579	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
580	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
581	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
582	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
583	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
584	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
585	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
586	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
587	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
588	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
589	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
590	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
591	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
592	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
593	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
594	C₂²×Dic₃	—	2	2	no	—
595	C₂²×Dic₃	—	4	1	no	—
596	C₂²×Dic₃	—	4	1	no	—
597	C₂²×Dic₃	—	4	1	no	—
598	C₂²×Dic₃	—	4	1	no	—
599	C₂²×Dic₃	—	4	1	no	—
600	C₂²×Dic₃	—	4	1	no	—
601	C₂²×Dic₃	—	4	1	no	—
602	C₂²×Dic₃	—	4	1	no	—
603	C₂²×Dic₃	—	4	1	no	—
604	C₂²×Dic₃	—	4	1	no	—
605	C₂²×Dic₃	—	4	1	no	—
606	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
612	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
614	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
615	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
617	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
618	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
619	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
620	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
621	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
622	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
623	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
624	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
625	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
626	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
627	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
628	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
629	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
630	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
631	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
632	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
633	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
634	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
635	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
636	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
637	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
638	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
639	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
640	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
641	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
642	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
643	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
644	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
645	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
646	C₃×C₄²	C₂²×C₄	1	4	yes	—
647	C₃×C₄²	C₂²×C₄	1	4	yes	—
648	#217	—	2	2	no	—
649	#217	—	2	2	no	—
650	#217	—	2	2	no	—
651	#217	—	2	2	no	—
652	#217	—	2	2	no	—
653	#217	—	4	1	no	—
654	#217	—	4	1	no	—
655	#217	—	4	1	no	—
656	#217	—	4	1	no	—
657	#217	—	4	1	no	—
658	#217	—	4	1	no	—
659	#217	—	4	1	no	—
660	#217	—	4	1	no	—
661	#217	—	4	1	no	—
662	#217	—	4	1	no	—
663	#217	—	4	1	no	—
664	#217	—	4	1	no	—
665	#217	—	4	1	no	—
666	#217	—	4	1	no	—
667	#217	—	4	1	no	—
668	C₄⋊Dic₃	—	2	2	no	—
669	C₄⋊Dic₃	—	2	2	no	—
670	C₄⋊Dic₃	—	2	2	no	—
671	C₄⋊Dic₃	—	4	1	no	—
672	C₄⋊Dic₃	—	4	1	no	—
673	C₄⋊Dic₃	—	4	1	no	—
674	C₄⋊Dic₃	—	4	1	no	—
675	C₄⋊Dic₃	—	4	1	no	—
676	C₄⋊Dic₃	—	4	1	no	—
677	C₄⋊Dic₃	—	4	1	no	—
678	C₄⋊Dic₃	—	4	1	no	—
679	C₄⋊Dic₃	—	4	1	no	—
680	C₄⋊Dic₃	—	4	1	no	—
681	C₄⋊Dic₃	—	4	1	no	—
682	C₄⋊Dic₃	—	4	1	no	—
683	C₄⋊Dic₃	—	4	1	no	—
684	C₄⋊Dic₃	—	4	1	no	—
685	C₄⋊Dic₃	—	4	1	no	—
686	C₄⋊Dic₃	—	4	1	no	—
687	C₄⋊Dic₃	—	4	1	no	—
688	C₄⋊Dic₃	—	4	1	no	—
689	C₄⋊Dic₃	—	4	1	no	—
690	C₄⋊Dic₃	—	4	1	no	—
691	C₄⋊Dic₃	—	4	1	no	—
692	C₄×Dic₃	—	2	2	no	—
693	C₄×Dic₃	—	2	2	no	—
694	C₄×Dic₃	—	2	2	no	—
695	C₄×Dic₃	—	2	2	no	—
696	C₄×Dic₃	—	2	2	no	—
697	C₄×Dic₃	—	4	1	no	—
698	C₄×Dic₃	—	4	1	no	—
699	C₄×Dic₃	—	4	1	no	—
700	C₄×Dic₃	—	4	1	no	—
701	C₄×Dic₃	—	4	1	no	—
702	C₄×Dic₃	—	4	1	no	—
703	C₄×Dic₃	—	4	1	no	—
704	C₄×Dic₃	—	4	1	no	—
705	C₄×Dic₃	—	4	1	no	—
706	C₄×Dic₃	—	4	1	no	—
707	C₄×Dic₃	—	4	1	no	—
708	C₄×Dic₃	—	4	1	no	—
709	C₄×Dic₃	—	4	1	no	—
710	C₄×Dic₃	—	4	1	no	—
711	C₄×Dic₃	—	4	1	no	—
712	C₄×Dic₃	—	4	1	no	—
713	C₄×Dic₃	—	4	1	no	—
714	C₄×Dic₃	—	4	1	no	—
715	C₄×Dic₃	—	4	1	no	—
716	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
717	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
718	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
719	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
720	C₂³×C₄	—	3	1	no	—
721	C₂³×C₄	—	3	1	no	—
722	C₂³×C₄	—	3	1	no	—
723	C₂³×C₄	—	3	1	no	—
724	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
725	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
726	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
727	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
728	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
729	#126	C₂×Dic₃	1	8	yes	complemented
730	#126	C₂×Dic₃	1	8	yes	complemented
731	#125	C₂×Dic₃	1	8	yes	complemented
732	#125	C₂×Dic₃	1	8	yes	complemented
733	#123	C₂×Dic₃	1	8	yes	—
734	#123	C₂×Dic₃	1	8	yes	—
735	#123	C₂×Dic₃	1	8	yes	complemented
736	#123	C₂×Dic₃	1	8	yes	complemented
737	C₂²⋊Q₈	C₂×Dic₃	1	8	yes	complemented
738	C₂²⋊Q₈	C₂×Dic₃	1	8	yes	complemented
739	C₂²⋊Q₈	C₂×Dic₃	1	8	yes	complemented
740	#121	C₂×Dic₃	1	8	yes	—
741	C₄×Q₈	—	12	2	no	—
742	C₄×D₄	—	12	2	no	—
743	C₄×D₄	C₂×Dic₃	1	8	yes	complemented
744	C₄×D₄	C₂×Dic₃	1	8	yes	complemented
745	#117	—	12	2	no	—
746	#117	—	12	2	no	—
747	#117	—	12	2	no	—
748	#117	—	12	2	no	—
749	C₂×C₄⋊C₄	—	3	1	no	—
750	C₂×C₄⋊C₄	—	3	1	no	—
751	C₂×C₄⋊C₄	—	3	1	no	—
752	C₂×C₄⋊C₄	—	3	1	no	—
753	C₂×C₄⋊C₄	—	3	1	no	—
754	C₂×C₄⋊C₄	—	3	1	no	—
755	C₂×C₄⋊C₄	—	3	1	no	—
756	C₂×C₄⋊C₄	—	3	1	no	—
757	C₂×C₄⋊C₄	—	3	1	no	—
758	C₂×C₄⋊C₄	—	3	1	no	—
759	C₂×C₄⋊C₄	—	3	1	no	—
760	C₂×C₄⋊C₄	—	3	1	no	—
761	C₂×C₄⋊C₄	—	3	1	no	—
762	C₂×C₄⋊C₄	—	3	1	no	—
763	C₂×C₄⋊C₄	—	3	1	no	—
764	C₂×C₄⋊C₄	—	3	1	no	—
765	C₂×C₄⋊C₄	—	3	1	no	—
766	C₂×C₄⋊C₄	—	3	1	no	—
767	C₂×C₄⋊C₄	—	3	1	no	—
768	C₂×C₄⋊C₄	—	3	1	no	—
769	C₂×C₄⋊C₄	—	3	1	no	—
770	C₂×C₄⋊C₄	—	3	1	no	—
771	C₂×C₄⋊C₄	—	3	1	no	—
772	C₂×C₄⋊C₄	—	3	1	no	—
773	C₂×C₄⋊C₄	C₂×Dic₃	1	8	yes	complemented
774	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
788	C₂×C₂²⋊C₄	—	3	1	no	—
789	C₂×C₂²⋊C₄	—	3	1	no	—
790	C₂×C₂²⋊C₄	—	3	1	no	—
791	C₂×C₂²⋊C₄	—	3	1	no	—
792	C₂×C₂²⋊C₄	—	3	1	no	—
793	C₂×C₂²⋊C₄	—	3	1	no	—
794	C₂×C₂²⋊C₄	—	3	1	no	—
795	C₂×C₂²⋊C₄	—	3	1	no	—
796	C₂×C₂²⋊C₄	—	3	1	no	—
797	C₂×C₂²⋊C₄	—	3	1	no	—
798	C₂×C₂²⋊C₄	—	3	1	no	—
799	C₂×C₂²⋊C₄	—	3	1	no	—
800	C₂×C₂²⋊C₄	—	3	1	no	—
801	C₂×C₂²⋊C₄	—	3	1	no	—
802	C₂×C₂²⋊C₄	—	3	1	no	—
803	C₂×C₂²⋊C₄	—	3	1	no	—
804	C₂×C₂²⋊C₄	—	3	1	no	—
805	C₂×C₂²⋊C₄	—	3	1	no	—
806	C₂×C₂²⋊C₄	—	3	1	no	—
807	C₂×C₂²⋊C₄	—	3	1	no	—
808	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
812	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
818	C₂×C₄²	—	3	1	no	—
819	C₂×C₄²	—	3	1	no	—
820	C₂×C₄²	—	3	1	no	—
821	C₂×C₄²	—	3	1	no	—
822	C₂×C₄²	—	3	1	no	—
823	C₂×C₄²	—	3	1	no	—
824	C₂×C₄²	—	3	1	no	—
825	C₂×C₄²	—	3	1	no	—
826	C₂×C₄²	—	3	1	no	—
827	C₂×C₄²	—	3	1	no	—
828	C₂×C₄²	—	3	1	no	—
829	C₂×C₄²	—	3	1	no	—
830	C₂×C₄²	—	3	1	no	—
831	C₂×C₄²	—	3	1	no	—
832	C₂×C₄²	—	3	1	no	—
833	C₂×C₄²	—	3	1	no	—
834	C₂×C₄²	—	3	1	no	—
835	C₂×C₄²	—	3	1	no	—
836	C₂×C₄²	—	3	1	no	—
837	C₂×C₄²	—	3	1	no	—
838	C₂×C₄²	—	3	1	no	—
839	C₂×C₄²	—	3	1	no	—
840	C₂×C₄²	—	3	1	no	—
841	C₂×C₄²	—	3	1	no	—
842	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
843	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
844	#95	—	3	1	no	—
845	#95	—	3	1	no	—
846	#95	—	3	1	no	—
847	#95	—	3	1	no	—
848	#95	—	3	1	no	—
849	#95	—	3	1	no	—
850	#95	—	3	1	no	—
851	#95	—	3	1	no	—
852	#95	—	3	1	no	—
853	#95	—	3	1	no	—
854	#95	—	3	1	no	—
855	#95	—	3	1	no	—
856	#95	—	3	1	no	—
857	#95	—	3	1	no	—
858	#95	—	3	1	no	—
859	#95	—	3	1	no	—
860	#95	—	3	1	no	—
861	#95	—	3	1	no	—
862	#95	—	3	1	no	—
863	#95	—	3	1	no	—
864	#95	—	3	1	no	—
865	#95	—	3	1	no	—
866	#95	—	3	1	no	—
867	#95	—	3	1	no	—
868	#95	—	3	1	no	—
869	#95	—	3	1	no	—
870	#95	—	3	1	no	—
871	#95	—	3	1	no	—
872	#95	—	3	1	no	—
873	#95	—	3	1	no	—
874	#95	—	3	1	no	—
875	#95	—	3	1	no	—
876	#95	—	3	1	no	—
877	#95	—	3	1	no	—
878	#95	—	3	1	no	—
879	#95	—	3	1	no	—
880	#95	—	3	1	no	—
881	#95	—	3	1	no	—
882	#95	—	3	1	no	—
883	#95	—	3	1	no	—
884	#95	—	3	1	no	—
885	#95	—	3	1	no	—
886	#95	—	3	1	no	—
887	#95	—	3	1	no	—
888	#95	—	3	1	no	—
889	#95	—	3	1	no	—
890	#95	—	3	1	no	—
891	#95	—	3	1	no	—
892	C₂³×C₃	—	2	1	no	—
893	C₂³×C₃	—	2	1	no	—
894	C₂³×C₃	—	2	1	no	—
895	C₂³×C₃	—	2	1	no	—
896	C₂³×C₃	—	2	1	no	—
897	C₂³×C₃	—	2	1	no	—
898	C₂³×C₃	—	2	1	no	—
899	C₂³×C₃	—	2	1	no	—
900	C₂³×C₃	—	2	1	no	—
901	C₂³×C₃	—	2	1	no	—
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	2	1	no	—
905	C₂³×C₃	—	2	1	no	—
906	C₂³×C₃	—	2	1	no	—
907	C₂³×C₃	—	2	1	no	—
908	C₂³×C₃	—	2	1	no	—
909	C₂³×C₃	—	2	1	no	—
910	C₂³×C₃	C₂³×C₄	1	2	yes	—
911	C₂³×C₃	C₂³×C₄	1	2	yes	—
912	C₂³×C₃	C₂³×C₄	1	2	yes	—
913	C₂³×C₃	C₂⁵	1	1	yes	characteristic
914	C₃×Q₈	—	4	4	no	—
915	C₃×D₄	—	4	4	no	—
916	C₃×D₄	—	4	4	no	—
917	C₃×D₄	—	4	4	no	—
918	C₂×C₃×C₄	—	2	1	no	—
919	C₂×C₃×C₄	—	2	1	no	—
920	C₂×C₃×C₄	—	2	1	no	—
921	C₂×C₃×C₄	—	2	1	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	1	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	4	4	no	—
943	C₂×C₃×C₄	—	4	4	no	—
944	C₂×C₃×C₄	—	4	4	no	—
945	C₂×C₃×C₄	—	4	4	no	—
946	C₂×C₃×C₄	—	4	4	no	—
947	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
948	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
949	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
950	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
951	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
952	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
953	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
954	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
955	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
956	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
957	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
958	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
959	C₂×Dic₃	—	2	1	no	—
960	C₂×Dic₃	—	2	1	no	—
961	C₂×Dic₃	—	2	1	no	—
962	C₂×Dic₃	—	2	1	no	—
963	C₂×Dic₃	—	2	1	no	—
964	C₂×Dic₃	—	2	1	no	—
965	C₂×Dic₃	—	2	1	no	—
966	C₂×Dic₃	—	2	1	no	—
967	C₂×Dic₃	—	2	1	no	—
968	C₂×Dic₃	—	2	1	no	—
969	C₂×Dic₃	—	2	1	no	—
970	C₂×Dic₃	—	2	1	no	—
971	C₂×Dic₃	—	2	1	no	—
972	C₂×Dic₃	—	2	1	no	—
973	C₂×Dic₃	—	2	1	no	—
974	C₂×Dic₃	—	2	1	no	—
975	C₂×Dic₃	—	2	1	no	—
976	C₂×Dic₃	—	2	1	no	—
977	C₂×Dic₃	—	2	1	no	—
978	C₂×Dic₃	—	2	1	no	—
979	C₂×Dic₃	—	2	1	no	—
980	C₂×Dic₃	—	2	1	no	—
981	C₂×Dic₃	—	2	1	no	—
982	C₂×Dic₃	—	2	1	no	—
983	C₂×Dic₃	—	2	1	no	—
984	C₂×Dic₃	—	2	1	no	—
985	C₂×Dic₃	—	2	1	no	—
986	C₂×Dic₃	—	2	1	no	—
987	C₂×Dic₃	—	2	1	no	—
988	C₂×Dic₃	—	2	1	no	—
989	C₂×Dic₃	—	2	1	no	—
990	C₂×Dic₃	—	2	1	no	—
991	C₂×Dic₃	—	2	1	no	—
992	C₂×Dic₃	—	2	1	no	—
993	C₂×Dic₃	—	2	1	no	—
994	C₂×Dic₃	—	2	1	no	—
995	C₂×Dic₃	—	2	1	no	—
996	C₂×Dic₃	—	2	1	no	—
997	C₂×Dic₃	—	2	1	no	—
998	C₂×Dic₃	—	2	1	no	—
999	C₂×Dic₃	—	2	1	no	—
1000	C₂×Dic₃	—	2	1	no	—
1001	C₂×Dic₃	—	2	1	no	—
1002	C₂×Dic₃	—	2	1	no	—
1003	C₂×Dic₃	—	2	1	no	—
1004	C₂×Dic₃	—	2	1	no	—
1005	C₂×Dic₃	—	8	2	no	—
1006	C₂×Dic₃	—	8	2	no	—
1007	C₂×Dic₃	—	8	2	no	—
1008	C₂×Dic₃	—	8	2	no	—
1009	C₂×Dic₃	H(5,𝔽₂)	1	2	yes	—
1010	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
1011	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1012	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1013	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	4	1	no	—
1016	C₂×Q₈	C₂²×Dic₃	1	4	yes	—
1017	C₂×D₄	—	4	1	no	—
1018	C₂×D₄	—	4	1	no	—
1019	C₂×D₄	—	4	1	no	—
1020	C₂×D₄	—	4	1	no	—
1021	C₂×D₄	—	4	1	no	—
1022	C₂×D₄	—	4	1	no	—
1023	C₂×D₄	C₂²×Dic₃	1	4	yes	—
1024	C₂×D₄	C₂²×Dic₃	1	4	yes	—
1025	C₂×D₄	C₂²×Dic₃	1	4	yes	—
1026	C₂²×C₄	—	3	1	no	—
1027	C₂²×C₄	—	3	1	no	—
1028	C₂²×C₄	—	3	1	no	—
1029	C₂²×C₄	—	3	1	no	—
1030	C₂²×C₄	—	3	1	no	—
1031	C₂²×C₄	—	3	1	no	—
1032	C₂²×C₄	—	3	1	no	—
1033	C₂²×C₄	—	3	1	no	—
1034	C₂²×C₄	—	3	1	no	—
1035	C₂²×C₄	—	3	1	no	—
1036	C₂²×C₄	—	3	1	no	—
1037	C₂²×C₄	—	3	1	no	—
1038	C₂²×C₄	—	3	1	no	—
1039	C₂²×C₄	—	3	1	no	—
1040	C₂²×C₄	—	3	1	no	—
1041	C₂²×C₄	—	3	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	6	2	no	—
1053	C₂²×C₄	—	12	1	no	—
1054	C₂²×C₄	—	12	1	no	—
1055	C₂²×C₄	—	12	1	no	—
1056	C₂²×C₄	—	12	1	no	—
1057	C₂²×C₄	—	12	1	no	—
1058	C₂²×C₄	—	12	1	no	—
1059	C₂²×C₄	—	12	1	no	—
1060	C₂²×C₄	—	12	1	no	—
1061	C₂²×C₄	—	12	1	no	—
1062	C₂²×C₄	—	12	1	no	—
1063	C₂²×C₄	—	12	1	no	—
1064	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1065	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1066	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1067	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1068	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1069	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1081	C₄⋊C₄	—	6	2	no	—
1082	C₄⋊C₄	—	6	2	no	—
1083	C₄⋊C₄	—	6	2	no	—
1084	C₄⋊C₄	—	12	1	no	—
1085	C₄⋊C₄	—	12	1	no	—
1086	C₄⋊C₄	—	12	1	no	—
1087	C₄⋊C₄	—	12	1	no	—
1088	C₄⋊C₄	—	12	1	no	—
1089	C₄⋊C₄	—	12	1	no	—
1090	C₄⋊C₄	—	12	1	no	—
1091	C₄⋊C₄	—	12	1	no	—
1092	C₄⋊C₄	—	12	1	no	—
1093	C₄⋊C₄	—	12	1	no	—
1094	C₄⋊C₄	—	12	1	no	—
1095	C₄⋊C₄	—	12	1	no	—
1096	C₄⋊C₄	—	12	1	no	—
1097	C₄⋊C₄	—	12	1	no	—
1098	C₄⋊C₄	—	12	1	no	—
1099	C₄⋊C₄	—	12	1	no	—
1100	C₄⋊C₄	—	12	1	no	—
1101	C₄⋊C₄	—	12	1	no	—
1102	C₄⋊C₄	—	12	1	no	—
1103	C₄⋊C₄	—	12	1	no	—
1104	C₄⋊C₄	—	12	1	no	—
1105	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1106	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1107	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1108	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1109	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1110	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1111	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1112	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1113	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1114	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1115	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1116	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1117	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1118	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1119	C₂²⋊C₄	—	6	2	no	—
1120	C₂²⋊C₄	—	6	2	no	—
1121	C₂²⋊C₄	—	6	2	no	—
1122	C₂²⋊C₄	—	6	2	no	—
1123	C₂²⋊C₄	—	6	2	no	—
1124	C₂²⋊C₄	—	12	1	no	—
1125	C₂²⋊C₄	—	12	1	no	—
1126	C₂²⋊C₄	—	12	1	no	—
1127	C₂²⋊C₄	—	12	1	no	—
1128	C₂²⋊C₄	—	12	1	no	—
1129	C₂²⋊C₄	—	12	1	no	—
1130	C₂²⋊C₄	—	12	1	no	—
1131	C₂²⋊C₄	—	12	1	no	—
1132	C₂²⋊C₄	—	12	1	no	—
1133	C₂²⋊C₄	—	12	1	no	—
1134	C₂²⋊C₄	—	12	1	no	—
1135	C₂²⋊C₄	—	12	1	no	—
1136	C₂²⋊C₄	—	12	1	no	—
1137	C₂²⋊C₄	—	12	1	no	—
1138	C₂²⋊C₄	—	12	1	no	—
1139	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1140	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1141	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1142	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1143	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1144	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1145	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1146	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1147	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1148	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1149	C₄²	—	6	2	no	—
1150	C₄²	—	6	2	no	—
1151	C₄²	—	6	2	no	—
1152	C₄²	—	6	2	no	—
1153	C₄²	—	6	2	no	—
1154	C₄²	—	12	1	no	—
1155	C₄²	—	12	1	no	—
1156	C₄²	—	12	1	no	—
1157	C₄²	—	12	1	no	—
1158	C₄²	—	12	1	no	—
1159	C₄²	—	12	1	no	—
1160	C₄²	—	12	1	no	—
1161	C₄²	—	12	1	no	—
1162	C₄²	—	12	1	no	—
1163	C₄²	—	12	1	no	—
1164	C₄²	—	12	1	no	—
1165	C₄²	—	12	1	no	—
1166	C₄²	—	12	1	no	—
1167	C₄²	—	12	1	no	—
1168	C₄²	—	12	1	no	—
1169	C₄²	—	12	1	no	—
1170	C₄²	—	12	1	no	—
1171	C₄²	—	12	1	no	—
1172	C₄²	—	12	1	no	—
1173	C₄²	C₂²×Dic₃	1	4	yes	—
1174	C₄²	C₂²×Dic₃	1	4	yes	—
1175	C₂²×C₃	—	2	2	no	—
1176	C₂²×C₃	—	2	2	no	—
1177	C₂²×C₃	—	2	2	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	—	2	2	no	—
1180	C₂²×C₃	—	2	2	no	—
1181	C₂²×C₃	—	2	2	no	—
1182	C₂²×C₃	—	2	2	no	—
1183	C₂²×C₃	—	2	2	no	—
1184	C₂²×C₃	—	4	1	no	—
1185	C₂²×C₃	—	4	1	no	—
1186	C₂²×C₃	—	4	1	no	—
1187	C₂²×C₃	—	4	1	no	—
1188	C₂²×C₃	—	4	1	no	—
1189	C₂²×C₃	—	4	1	no	—
1190	C₂²×C₃	—	4	1	no	—
1191	C₂²×C₃	—	4	1	no	—
1192	C₂²×C₃	—	4	1	no	—
1193	C₂²×C₃	—	4	1	no	—
1194	C₂²×C₃	—	4	1	no	—
1195	C₂²×C₃	—	4	1	no	—
1196	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1197	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1198	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1199	C₂²×C₃	#585	1	1	yes	characteristic
1200	C₂²×C₃	#585	1	1	yes	characteristic
1201	C₂²×C₃	#585	1	1	yes	characteristic
1202	C₂²×C₃	#585	1	1	yes	characteristic
1203	C₃×C₄	—	2	2	no	—
1204	C₃×C₄	—	2	2	no	—
1205	C₃×C₄	—	2	2	no	—
1206	C₃×C₄	—	2	2	no	—
1207	C₃×C₄	—	2	2	no	—
1208	C₃×C₄	—	2	2	no	—
1209	C₃×C₄	—	2	2	no	—
1210	C₃×C₄	—	2	2	no	—
1211	C₃×C₄	—	2	2	no	—
1212	C₃×C₄	—	2	2	no	—
1213	C₃×C₄	—	2	2	no	—
1214	C₃×C₄	—	2	2	no	—
1215	Dic₃	—	2	2	no	—
1216	Dic₃	—	2	2	no	—
1217	Dic₃	—	4	1	no	—
1218	Dic₃	—	4	1	no	—
1219	Dic₃	—	4	1	no	—
1220	Dic₃	—	4	1	no	—
1221	Dic₃	—	4	1	no	—
1222	Dic₃	—	4	1	no	—
1223	Dic₃	—	4	1	no	—
1224	Dic₃	—	4	1	no	—
1225	Dic₃	—	4	1	no	—
1226	Dic₃	—	4	1	no	—
1227	Dic₃	—	4	1	no	—
1228	Dic₃	—	4	1	no	—
1229	Dic₃	—	4	1	no	—
1230	Dic₃	—	4	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	2	1	no	—
1234	C₂³	—	2	1	no	—
1235	C₂³	—	2	1	no	—
1236	C₂³	—	2	1	no	—
1237	C₂³	—	2	1	no	—
1238	C₂³	—	2	1	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	1	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	C₂³×Dic₃	1	2	yes	—
1250	C₂³	C₂³×Dic₃	1	2	yes	—
1251	C₂³	C₂³×Dic₃	1	2	yes	—
1252	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1253	Q₈	—	4	4	no	—
1254	D₄	—	4	4	no	—
1255	D₄	—	4	4	no	—
1256	D₄	—	4	4	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	3	2	no	—
1282	C₂×C₄	—	3	2	no	—
1283	C₂×C₄	—	4	4	no	—
1284	C₂×C₄	—	4	4	no	—
1285	C₂×C₄	—	4	4	no	—
1286	C₂×C₄	—	4	4	no	—
1287	C₂×C₄	—	4	4	no	—
1288	C₂×C₄	—	6	1	no	—
1289	C₂×C₄	—	6	1	no	—
1290	C₂×C₄	—	6	1	no	—
1291	C₂×C₄	—	6	1	no	—
1292	C₂×C₄	—	6	1	no	—
1293	C₂×C₄	—	6	1	no	—
1294	C₂×C₄	—	6	1	no	—
1295	C₂×C₄	—	6	1	no	—
1296	C₂×C₄	—	6	1	no	—
1297	C₂×C₄	—	6	1	no	—
1298	C₂×C₄	—	6	1	no	—
1299	C₂×C₄	—	6	1	no	—
1300	C₂×C₄	—	6	1	no	—
1301	C₂×C₄	—	6	1	no	—
1302	C₂×C₄	—	6	1	no	—
1303	C₂×C₄	—	6	1	no	—
1304	C₂×C₄	—	6	1	no	—
1305	C₂×C₄	—	6	1	no	—
1306	C₂×C₄	—	6	1	no	—
1307	C₂×C₄	—	6	1	no	—
1308	C₂×C₄	—	6	1	no	—
1309	C₂×C₄	—	6	1	no	—
1310	C₂×C₄	—	6	1	no	—
1311	C₂×C₄	—	6	1	no	—
1312	C₂×C₄	—	6	1	no	—
1313	C₂×C₄	—	6	1	no	—
1314	C₂×C₄	—	6	1	no	—
1315	C₂×C₄	—	6	1	no	—
1316	C₂×C₄	—	6	1	no	—
1317	C₂×C₄	—	6	1	no	—
1318	C₂×C₄	—	6	1	no	—
1319	C₂×C₄	—	6	1	no	—
1320	C₂×C₄	—	6	1	no	—
1321	C₂×C₄	—	6	1	no	—
1322	C₂×C₄	—	6	1	no	—
1323	C₂×C₄	—	6	1	no	—
1324	C₂×C₄	—	6	1	no	—
1325	C₂×C₄	—	6	1	no	—
1326	C₂×C₄	—	6	1	no	—
1327	C₂×C₄	—	6	1	no	—
1328	C₂×C₄	—	6	1	no	—
1329	C₂×C₄	—	6	1	no	—
1330	C₂×C₄	—	6	1	no	—
1331	C₂×C₄	—	6	1	no	—
1332	C₂×C₄	—	6	1	no	—
1333	C₂×C₄	—	6	1	no	—
1334	C₂×C₄	—	24	2	no	—
1335	C₂×C₄	—	24	2	no	—
1336	C₂×C₄	—	24	2	no	—
1337	C₂×C₄	—	24	2	no	—
1338	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1339	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1340	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1341	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1342	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1343	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1344	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1345	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1346	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1347	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1348	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1349	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1350	C₂×C₃	—	4	2	no	—
1351	C₂×C₃	—	4	2	no	—
1352	C₂×C₃	—	4	2	no	—
1353	C₂×C₃	#3428	1	1	yes	characteristic
1354	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1355	C₂×C₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1356	C₂×C₃	#3559	1	1	yes	characteristic
1357	C₂×C₃	#3562	1	1	yes	characteristic
1358	C₂×C₃	#3564	1	1	yes	characteristic
1359	C₂×C₃	#3566	1	1	yes	characteristic
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	2	2	no	—
1369	C₂²	—	4	1	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	1	no	—
1372	C₂²	—	4	1	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	#5964	1	1	yes	characteristic
1382	C₂²	#5964	1	1	yes	characteristic
1383	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1384	C₂²	#5966	1	1	yes	characteristic
1385	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1386	C₂²	#5968	1	1	yes	characteristic
1387	C₂²	C₂⁴×Dic₃	1	1	yes	characteristic
1388	C₄	—	2	2	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	2	2	no	—
1400	C₄	—	6	2	no	—
1401	C₄	—	6	2	no	—
1402	C₄	—	12	1	no	—
1403	C₄	—	12	1	no	—
1404	C₄	—	12	1	no	—
1405	C₄	—	12	1	no	—
1406	C₄	—	12	1	no	—
1407	C₄	—	12	1	no	—
1408	C₄	—	12	1	no	—
1409	C₄	—	12	1	no	—
1410	C₄	—	12	1	no	—
1411	C₄	—	12	1	no	—
1412	C₄	—	12	1	no	—
1413	C₄	—	12	1	no	—
1414	C₄	—	12	1	no	—
1415	C₄	—	12	1	no	—
1416	C₃	#34452	1	1	yes	characteristic, complemented, Sylow
1417	C₂	—	4	2	no	—
1418	C₂	—	4	2	no	—
1419	C₂	—	4	2	no	—
1420	C₂	#86444	1	1	yes	characteristic
1421	C₂	#86449	1	1	yes	characteristic
1422	C₂	#86464	1	1	yes	characteristic
1423	C₂	#86466	1	1	yes	characteristic
1424	C₂	#87260	1	1	yes	characteristic
1425	C₂	Dic₃×H(5,𝔽₂)	1	1	yes	characteristic
1426	C₂	Dic₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator	C₂²×C₃	C₂⁴×C₄
Fitting	C₂×C₃×#539	C₂
socle, cosocle	C₂³×C₃	C₂⁵
prime radical	C₂×C₃×#121	C₂²
hypercenter	C₂×#539	D₃
hypocenter	C₃	#34452
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
2. #83076	C₂	semidirect
3. #83075	C₂	semidirect
4. #83074	C₂	semidirect
5. Dic₃×#126	C₂	semidirect
6. #83024	C₂	semidirect
7. #83024	C₂	semidirect
8. #83023	C₂	semidirect
9. Dic₃×#125	C₂	semidirect
10. #82840	C₂	semidirect
11. #82840	C₂	semidirect
12. #82839	C₂	semidirect
13. #82839	C₂	semidirect
14. #82838	C₂	semidirect
15. #82838	C₂	semidirect
16. #82837	C₂	semidirect
17. #82837	C₂	semidirect
18. #82750	C₂	semidirect
19. #82749	C₂	semidirect
20. #82748	C₂	semidirect
21. #82748	C₂	semidirect
22. #82745	C₂	semidirect
23. #82744	C₂	semidirect
26. #82337	C₂	semidirect
27. #82336	C₂	semidirect
28. #82324	C₂	semidirect
29. #82319	C₂	semidirect
30. #82160	C₂	semidirect
31. #82159	C₂	semidirect
33. C₃×#539	C₄	semidirect
233. C₃×#126	C₂×C₄	semidirect
234. C₃×#126	C₂×C₄	semidirect
235. C₃×#125	C₂×C₄	semidirect
236. C₃×#125	C₂×C₄	semidirect
239. C₃×#123	C₂×C₄	semidirect
240. C₃×#123	C₂×C₄	semidirect
241. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
242. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
243. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
245. C₃×C₄×D₄	C₂×C₄	semidirect
246. C₃×C₄×D₄	C₂×C₄	semidirect
247. C₂×C₃×C₄⋊C₄	C₂×C₄	semidirect
396. #539	Dic₃	semidirect
729. #126	C₂×Dic₃	semidirect
730. #126	C₂×Dic₃	semidirect
731. #125	C₂×Dic₃	semidirect
732. #125	C₂×Dic₃	semidirect
735. #123	C₂×Dic₃	semidirect
736. #123	C₂×Dic₃	semidirect
737. C₂²⋊Q₈	C₂×Dic₃	semidirect
738. C₂²⋊Q₈	C₂×Dic₃	semidirect
739. C₂²⋊Q₈	C₂×Dic₃	semidirect
743. C₄×D₄	C₂×Dic₃	semidirect
744. C₄×D₄	C₂×Dic₃	semidirect
773. C₂×C₄⋊C₄	C₂×Dic₃	semidirect
1416. C₃	#34452	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#539	2
#83076	2
#83075	2
#83074	2
Dic₃×#126	2
#83024	2
#83023	2
Dic₃×#125	2
#82840	2
#82839	2
#82838	2
#82837	2
#82750	2
#82749	2
#82748	2
#82745	2
#82744	2
#82635	2
#82633	2
#82337	2
#82336	2
#82324	2
#82319	2
#82160	2
#82159	2
#34452	3