Subgroups — #86456

Order 384.

1124 conjugacy classes of subgroups.

The subgroup lattice has 996 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	#5707	C₂	1	1	yes	maximal, characteristic, complemented
3	#5706	C₂	1	1	yes	maximal, characteristic, complemented
4	#5705	C₂	1	1	yes	maximal, characteristic, complemented
5	#5702	C₂	1	1	yes	maximal, characteristic, complemented
6	#5693	C₂	1	1	yes	maximal, characteristic, complemented
7	#5692	C₂	1	1	yes	maximal, characteristic, complemented
8	#5690	C₂	1	1	yes	maximal, characteristic, complemented
9	#5688	C₂	1	1	yes	maximal, characteristic, complemented
10	#5662	C₂	1	1	yes	maximal, characteristic, complemented
11	#5659	C₂	1	1	yes	maximal, characteristic, complemented
12	#5658	C₂	1	1	yes	maximal, characteristic, complemented
13	#5656	C₂	1	1	yes	maximal, characteristic, complemented
14	#5655	C₂	1	1	yes	maximal, characteristic, complemented
15	#5655	C₂	1	1	yes	maximal, characteristic, complemented
16	#5654	C₂	1	1	yes	maximal, characteristic, complemented
17	#5650	C₂	1	1	yes	maximal, characteristic, complemented
18	#5640	C₂	1	1	yes	maximal, characteristic, complemented
19	#5637	C₂	1	1	yes	maximal, characteristic, complemented
20	#5636	C₂	1	1	yes	maximal, characteristic, complemented
21	#5633	C₂	1	1	yes	maximal, characteristic, complemented
22	#5632	C₂	1	1	yes	maximal, characteristic, complemented
23	D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	#5610	C₂	1	1	yes	maximal, characteristic, complemented
25	#5598	C₂	1	1	yes	maximal, characteristic, complemented
26	#5564	C₂	1	1	yes	maximal, characteristic, complemented
27	#5547	C₂	1	1	yes	maximal, characteristic, complemented
28	#5546	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#896	C₂	1	1	yes	maximal, characteristic, complemented
31	#5504	C₂	1	1	yes	maximal, characteristic, complemented
32	#3520	—	3	1	no	maximal, Sylow
33	C₂×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂×#237	C₂²	1	1	yes	characteristic
35	C₂×#237	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₃×D₄	C₂²	1	1	yes	characteristic
37	C₂×#235	C₂²	1	1	yes	characteristic
38	C₂×#235	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₄×D₃	C₂²	1	1	yes	characteristic
40	C₂²×C₄×D₃	C₂²	1	1	yes	characteristic
41	C₂²×Dic₆	C₂²	1	1	yes	characteristic, complemented
42	C₃×#126	C₂²	1	1	yes	characteristic, complemented
43	C₃×#126	C₂²	1	1	yes	characteristic, complemented
44	C₃×#125	C₂²	1	1	yes	characteristic, complemented
45	C₃×#125	C₂²	1	1	yes	characteristic, complemented
46	C₃×#123	C₂²	1	1	yes	characteristic
47	C₃×#123	C₂²	1	1	yes	characteristic, complemented
48	C₃×#123	C₂²	1	1	yes	characteristic, complemented
49	C₃×#123	C₂²	1	1	yes	characteristic, complemented
50	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₃×#121	C₂²	1	1	yes	characteristic
54	C₃×C₄×D₄	C₂²	1	1	yes	characteristic
55	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	#947	C₂²	1	1	yes	characteristic, complemented
58	#946	C₂²	1	1	yes	characteristic
59	#944	C₂²	1	1	yes	characteristic, complemented
60	#939	C₂²	1	1	yes	characteristic
61	#939	C₂²	1	1	yes	characteristic
62	#939	C₂²	1	1	yes	characteristic, complemented
63	#937	C₂²	1	1	yes	characteristic
64	#937	C₂²	1	1	yes	characteristic
65	#936	C₂²	1	1	yes	characteristic, complemented
66	#935	C₂²	1	1	yes	characteristic
67	D₄×Dic₃	C₂²	1	1	yes	characteristic
68	D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
69	#929	C₂²	1	1	yes	characteristic, complemented
70	C₄×#67	C₂²	1	1	yes	characteristic
71	C₄×#67	C₂²	1	1	yes	characteristic
72	C₄×#67	C₂²	1	1	yes	characteristic
73	C₄×#67	C₂²	1	1	yes	characteristic
74	C₄×#67	C₂²	1	1	yes	characteristic, complemented
75	C₄×#67	C₂²	1	1	yes	characteristic, complemented
76	C₄×#67	C₂²	1	1	yes	characteristic, complemented
77	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
78	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
79	#926	C₂²	1	1	yes	characteristic, complemented
80	#924	C₂²	1	1	yes	characteristic, complemented
81	C₂×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	C₂×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
83	C₂×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	#898	C₂²	1	1	yes	characteristic, complemented
85	#898	C₂²	1	1	yes	characteristic, complemented
86	#898	C₂²	1	1	yes	characteristic, complemented
87	#898	C₂²	1	1	yes	characteristic, complemented
88	#897	C₂²	1	1	yes	characteristic
89	#897	C₂²	1	1	yes	characteristic, complemented
90	#897	C₂²	1	1	yes	characteristic, complemented
91	#896	C₂²	1	1	yes	characteristic
92	#896	C₂²	1	1	yes	characteristic
93	#896	C₂²	1	1	yes	characteristic
94	#896	C₂²	1	1	yes	characteristic
95	#896	C₂²	1	1	yes	characteristic
96	#896	C₂²	1	1	yes	characteristic
97	#896	C₂²	1	1	yes	characteristic
98	#896	C₂²	1	1	yes	characteristic, complemented
99	#896	C₂²	1	1	yes	characteristic, complemented
100	#896	C₂²	1	1	yes	characteristic, complemented
101	#896	C₂²	1	1	yes	characteristic, complemented
102	#896	C₂²	1	1	yes	characteristic, complemented
103	#896	C₂²	1	1	yes	characteristic, complemented
104	#896	C₂²	1	1	yes	characteristic, complemented
105	#896	C₂²	1	1	yes	characteristic, complemented
106	#895	C₂²	1	1	yes	characteristic
107	#894	C₂²	1	1	yes	characteristic
108	#894	C₂²	1	1	yes	characteristic
109	#894	C₂²	1	1	yes	characteristic
110	#894	C₂²	1	1	yes	characteristic, complemented
111	#894	C₂²	1	1	yes	characteristic, complemented
112	#894	C₂²	1	1	yes	characteristic, complemented
113	#893	C₂²	1	1	yes	characteristic
114	#893	C₂²	1	1	yes	characteristic
115	#893	C₂²	1	1	yes	characteristic
116	#893	C₂²	1	1	yes	characteristic, complemented
117	#893	C₂²	1	1	yes	characteristic, complemented
118	#892	C₂²	1	1	yes	characteristic
119	#892	C₂²	1	1	yes	characteristic
120	#892	C₂²	1	1	yes	characteristic, complemented
121	#892	C₂²	1	1	yes	characteristic, complemented
122	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
123	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
124	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
125	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
126	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
127	#890	C₂²	1	1	yes	characteristic, complemented
128	#889	C₂²	1	1	yes	characteristic, complemented
129	#889	C₂²	1	1	yes	characteristic, complemented
130	#889	C₂²	1	1	yes	characteristic, complemented
131	#888	C₂²	1	1	yes	characteristic, complemented
132	#888	C₂²	1	1	yes	characteristic, complemented
133	#888	C₂²	1	1	yes	characteristic, complemented
134	#887	C₂²	1	1	yes	characteristic, complemented
135	#887	C₂²	1	1	yes	characteristic, complemented
136	#887	C₂²	1	1	yes	characteristic, complemented
137	#887	C₂²	1	1	yes	characteristic, complemented
138	#887	C₂²	1	1	yes	characteristic, complemented
139	#887	C₂²	1	1	yes	characteristic, complemented
140	#886	C₂²	1	1	yes	characteristic, complemented
141	#886	C₂²	1	1	yes	characteristic, complemented
142	#885	C₂²	1	1	yes	characteristic
143	#885	C₂²	1	1	yes	characteristic
144	#885	C₂²	1	1	yes	characteristic, complemented
145	#885	C₂²	1	1	yes	characteristic, complemented
146	#885	C₂²	1	1	yes	characteristic, complemented
147	#884	C₂²	1	1	yes	characteristic
148	#884	C₂²	1	1	yes	characteristic
149	#884	C₂²	1	1	yes	characteristic
150	#884	C₂²	1	1	yes	characteristic, complemented
151	#883	C₂²	1	1	yes	characteristic
152	#883	C₂²	1	1	yes	characteristic, complemented
153	#883	C₂²	1	1	yes	characteristic, complemented
154	#883	C₂²	1	1	yes	characteristic, complemented
155	#882	C₂²	1	1	yes	characteristic
156	#882	C₂²	1	1	yes	characteristic
157	#67⋊C₄	C₂²	1	1	yes	characteristic
158	#67⋊C₄	C₂²	1	1	yes	characteristic
159	#67⋊C₄	C₂²	1	1	yes	characteristic
160	#67⋊C₄	C₂²	1	1	yes	characteristic
161	#67⋊C₄	C₂²	1	1	yes	characteristic
162	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
166	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
167	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	#879	C₂²	1	1	yes	characteristic, complemented
169	#879	C₂²	1	1	yes	characteristic, complemented
170	#879	C₂²	1	1	yes	characteristic, complemented
171	#878	C₂²	1	1	yes	characteristic, complemented
172	#878	C₂²	1	1	yes	characteristic, complemented
173	#878	C₂²	1	1	yes	characteristic, complemented
174	#878	C₂²	1	1	yes	characteristic, complemented
175	#878	C₂²	1	1	yes	characteristic, complemented
176	#878	C₂²	1	1	yes	characteristic, complemented
177	#877	C₂²	1	1	yes	characteristic, complemented
178	#877	C₂²	1	1	yes	characteristic, complemented
179	#877	C₂²	1	1	yes	characteristic, complemented
180	#876	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₁₂	C₂²	1	1	yes	characteristic
182	C₄×D₁₂	C₂²	1	1	yes	characteristic
183	#872	C₂²	1	1	yes	characteristic, complemented
184	#872	C₂²	1	1	yes	characteristic, complemented
185	C₄²×D₃	C₂²	1	1	yes	characteristic
186	#870	C₂²	1	1	yes	characteristic, complemented
187	C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
188	#556	—	3	1	no	—
189	#554	—	3	1	no	—
190	#554	—	3	1	no	—
191	#552	—	3	1	no	—
192	#552	—	3	1	no	—
193	#551	—	3	1	no	—
194	#551	—	3	1	no	—
195	#551	—	3	1	no	—
196	#551	—	3	1	no	—
197	D₄×Q₈	—	3	1	no	—
198	#548	—	3	1	no	—
199	#548	—	3	1	no	—
200	#547	—	3	1	no	—
201	#547	—	3	1	no	—
202	#546	—	3	1	no	—
203	#546	—	3	1	no	—
204	#542	—	3	1	no	—
205	#542	—	3	1	no	—
206	#539	—	3	1	no	—
207	#539	—	3	1	no	—
208	#539	—	3	1	no	—
209	#539	D₃	1	1	yes	characteristic, complemented
210	#533	—	3	1	no	—
211	#529	—	3	1	no	—
212	#525	—	3	1	no	—
213	#525	—	3	1	no	—
214	C₂×C₂²⋊Q₈	—	3	1	no	—
215	C₂×C₂²⋊Q₈	—	3	1	no	—
216	#520	—	3	1	no	—
217	#520	—	3	1	no	—
218	C₂×C₄×D₄	—	3	1	no	—
219	C₂³×D₃	C₂³	1	1	yes	characteristic
220	C₂³×D₃	C₂³	1	1	yes	characteristic
221	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
226	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
227	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
229	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
230	C₂×#67	C₂³	1	1	yes	characteristic
231	C₂×#67	C₂³	1	1	yes	characteristic
232	C₂×#67	C₂³	1	1	yes	characteristic
233	C₂×#67	C₂³	1	1	yes	characteristic
234	C₂×#67	C₂³	1	1	yes	characteristic
235	C₂×#67	C₂³	1	1	yes	characteristic
236	C₂×#67	C₂³	1	1	yes	characteristic
237	C₂×#67	C₂³	1	1	yes	characteristic
238	C₂²×Dic₃	C₂³	1	1	yes	characteristic
239	C₂²×Dic₃	C₂³	1	1	yes	characteristic
240	C₂²×Dic₃	C₂³	1	1	yes	characteristic
241	C₂²×Dic₃	C₂³	1	1	yes	characteristic
242	C₂²×Dic₃	C₂³	1	1	yes	characteristic
243	C₂²×Dic₃	C₂³	1	1	yes	characteristic
244	D₃×Q₈	—	4	2	no	—
245	#237	—	2	4	no	—
246	#237	—	4	2	no	—
247	D₃×D₄	—	2	4	no	—
248	#235	—	2	4	no	—
249	#235	—	4	2	no	—
250	C₂×D₁₂	C₂³	1	1	yes	characteristic
251	C₂×D₁₂	C₂³	1	1	yes	characteristic
252	C₂×D₁₂	C₂³	1	1	yes	characteristic
253	C₂×D₁₂	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₃	—	4	2	no	—
255	C₂×C₄×D₃	—	4	2	no	—
256	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
272	C₂×Dic₆	—	4	2	no	—
273	C₂×Dic₆	C₂³	1	1	yes	characteristic
274	C₂×Dic₆	C₂³	1	1	yes	characteristic
275	C₂×Dic₆	C₂³	1	1	yes	characteristic
276	C₂×Dic₆	C₂³	1	1	yes	characteristic
277	C₂×Dic₆	C₂³	1	1	yes	characteristic
278	C₂×Dic₆	C₂³	1	1	yes	characteristic
279	C₂×Dic₆	C₂³	1	1	yes	characteristic
280	C₂×Dic₆	C₂³	1	1	yes	characteristic
281	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₃×C₄²	C₂³	1	1	yes	characteristic
306	C₃×C₄²	C₂³	1	1	yes	characteristic
307	#217	C₂³	1	1	yes	characteristic
308	#217	C₂³	1	1	yes	characteristic
309	#217	C₂³	1	1	yes	characteristic
310	#217	C₂³	1	1	yes	characteristic
311	#217	C₂³	1	1	yes	characteristic
312	#217	C₂³	1	1	yes	characteristic
313	#217	C₂³	1	1	yes	characteristic
314	#217	C₂³	1	1	yes	characteristic
315	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
335	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
336	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
337	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
338	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
339	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
340	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
341	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
342	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
343	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
344	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
345	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
346	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
347	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
348	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
349	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
350	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
351	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
352	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
353	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
354	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
355	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
356	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
357	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
358	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
359	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
360	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
361	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
362	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
363	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
364	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
365	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
366	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
367	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
368	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
369	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
370	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
371	C₄×Dic₃	C₂³	1	1	yes	characteristic
372	C₄×Dic₃	C₂³	1	1	yes	characteristic
373	C₄×Dic₃	C₂³	1	1	yes	characteristic
374	C₄×Dic₃	C₂³	1	1	yes	characteristic
375	C₄×Dic₃	C₂³	1	1	yes	characteristic
376	C₄×Dic₃	C₂³	1	1	yes	characteristic
377	C₄×Dic₃	C₂³	1	1	yes	characteristic
378	C₄×Dic₃	C₂³	1	1	yes	characteristic
379	C₄×Dic₃	C₂³	1	1	yes	characteristic
380	C₄×Dic₃	C₂³	1	1	yes	characteristic
381	C₄×Dic₃	C₂³	1	1	yes	characteristic
382	C₄×Dic₃	C₂³	1	1	yes	characteristic
383	C₂×#41	—	3	1	no	—
384	C₂×#41	—	3	1	no	—
385	C₂×#41	—	3	1	no	—
386	C₂×#41	—	3	1	no	—
387	C₂²×Q₈	—	3	1	no	—
388	C₂²×Q₈	—	3	1	no	—
389	C₂²×D₄	—	3	1	no	—
390	C₂³×C₄	—	3	1	no	—
391	C₂³×C₄	—	3	1	no	—
392	C₄⋊Q₈	—	3	1	no	—
393	C₄⋊Q₈	—	3	1	no	—
394	C₄⋊Q₈	—	3	1	no	—
395	C₄⋊Q₈	—	3	1	no	—
396	#126	—	3	1	no	—
397	#126	—	3	1	no	—
398	#126	—	3	1	no	—
399	#126	—	3	1	no	—
400	#126	—	3	1	no	—
401	#126	—	3	1	no	—
402	#126	—	3	1	no	—
403	#126	—	3	1	no	—
404	#126	C₂×D₃	1	1	yes	characteristic, complemented
405	#126	C₂×D₃	1	1	yes	characteristic, complemented
406	#125	—	3	1	no	—
407	#125	—	3	1	no	—
408	#125	—	3	1	no	—
409	#125	—	3	1	no	—
410	#125	—	3	1	no	—
411	#125	C₂×D₃	1	1	yes	characteristic, complemented
412	#125	C₂×D₃	1	1	yes	characteristic, complemented
413	#124	—	3	1	no	—
414	#124	—	3	1	no	—
415	#124	—	3	1	no	—
416	#124	—	3	1	no	—
417	#124	—	3	1	no	—
418	#124	—	3	1	no	—
419	#124	—	3	1	no	—
420	#123	—	3	1	no	—
421	#123	—	3	1	no	—
422	#123	—	3	1	no	—
423	#123	—	3	1	no	—
424	#123	—	3	1	no	—
425	#123	—	3	1	no	—
426	#123	—	3	1	no	—
427	#123	—	3	1	no	—
428	#123	—	3	1	no	—
429	#123	—	3	1	no	—
430	#123	—	3	1	no	—
431	#123	—	3	1	no	—
432	#123	—	3	1	no	—
433	#123	—	3	1	no	—
434	#123	C₂×D₃	1	1	yes	characteristic
435	#123	C₂×D₃	1	1	yes	characteristic, complemented
436	#123	C₂×D₃	1	1	yes	characteristic, complemented
437	#123	C₂×D₃	1	1	yes	characteristic, complemented
438	C₂²⋊Q₈	—	3	1	no	—
439	C₂²⋊Q₈	—	3	1	no	—
440	C₂²⋊Q₈	—	3	1	no	—
441	C₂²⋊Q₈	—	3	1	no	—
442	C₂²⋊Q₈	—	3	1	no	—
443	C₂²⋊Q₈	—	3	1	no	—
444	C₂²⋊Q₈	—	3	1	no	—
445	C₂²⋊Q₈	—	3	1	no	—
446	C₂²⋊Q₈	—	3	1	no	—
447	C₂²⋊Q₈	—	3	1	no	—
448	C₂²⋊Q₈	—	3	1	no	—
449	C₂²⋊Q₈	—	3	1	no	—
450	C₂²⋊Q₈	—	3	1	no	—
451	C₂²⋊Q₈	—	3	1	no	—
452	C₂²⋊Q₈	—	3	1	no	—
453	C₂²⋊Q₈	—	3	1	no	—
454	C₂²⋊Q₈	—	3	1	no	—
455	C₂²⋊Q₈	—	3	1	no	—
456	C₂²⋊Q₈	—	3	1	no	—
457	C₂²⋊Q₈	—	3	1	no	—
458	C₂²⋊Q₈	—	3	1	no	—
459	C₂²⋊Q₈	—	3	1	no	—
460	C₂²⋊Q₈	—	3	1	no	—
461	C₂²⋊Q₈	—	3	1	no	—
462	C₂²⋊Q₈	—	3	1	no	—
463	C₂²⋊Q₈	—	3	1	no	—
464	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
465	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
466	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
467	#121	—	3	1	no	—
468	#121	—	3	1	no	—
469	#121	—	3	1	no	—
470	#121	—	3	1	no	—
471	#121	—	3	1	no	—
472	#121	—	3	1	no	—
473	#121	—	3	1	no	—
474	#121	—	3	1	no	—
475	#121	C₂×D₃	1	1	yes	characteristic
476	#120	—	3	1	no	—
477	#120	—	3	1	no	—
478	#120	—	3	1	no	—
479	#120	—	3	1	no	—
480	C₄×Q₈	—	3	1	no	—
481	C₄×Q₈	—	3	1	no	—
482	C₄×Q₈	—	3	1	no	—
483	C₄×Q₈	—	3	1	no	—
484	C₄×Q₈	—	3	1	no	—
485	C₄×Q₈	—	3	1	no	—
486	C₄×Q₈	—	3	1	no	—
487	C₄×D₄	—	3	1	no	—
488	C₄×D₄	—	3	1	no	—
489	C₄×D₄	—	3	1	no	—
490	C₄×D₄	—	3	1	no	—
491	C₄×D₄	—	3	1	no	—
492	C₄×D₄	—	3	1	no	—
493	C₄×D₄	—	3	1	no	—
494	C₄×D₄	—	3	1	no	—
495	C₄×D₄	—	3	1	no	—
496	C₄×D₄	—	3	1	no	—
497	C₄×D₄	—	3	1	no	—
498	C₄×D₄	—	3	1	no	—
499	C₄×D₄	—	3	1	no	—
500	C₄×D₄	—	3	1	no	—
501	C₄×D₄	—	3	1	no	—
502	C₄×D₄	—	3	1	no	—
503	C₄×D₄	—	3	1	no	—
504	C₄×D₄	—	3	1	no	—
505	C₄×D₄	—	3	1	no	—
506	C₄×D₄	—	3	1	no	—
507	C₄×D₄	—	3	1	no	—
508	C₄×D₄	—	3	1	no	—
509	C₄×D₄	—	3	1	no	—
510	C₄×D₄	C₂×D₃	1	1	yes	characteristic
511	C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
512	#117	—	3	1	no	—
513	#117	—	3	1	no	—
514	#117	—	3	1	no	—
515	#117	—	3	1	no	—
516	#117	—	3	1	no	—
517	#117	—	3	1	no	—
518	#117	—	3	1	no	—
519	#117	—	3	1	no	—
520	#117	—	3	1	no	—
521	#117	—	3	1	no	—
522	C₂×C₄⋊C₄	—	3	1	no	—
523	C₂×C₄⋊C₄	—	3	1	no	—
524	C₂×C₄⋊C₄	—	3	1	no	—
525	C₂×C₄⋊C₄	—	3	1	no	—
526	C₂×C₄⋊C₄	—	3	1	no	—
527	C₂×C₄⋊C₄	—	3	1	no	—
528	C₂×C₄⋊C₄	—	3	1	no	—
529	C₂×C₄⋊C₄	—	3	1	no	—
530	C₂×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
531	C₂×C₂²⋊C₄	—	3	1	no	—
532	C₂×C₂²⋊C₄	—	3	1	no	—
533	C₂×C₂²⋊C₄	—	3	1	no	—
534	C₂×C₂²⋊C₄	—	3	1	no	—
535	C₂×C₂²⋊C₄	—	3	1	no	—
536	C₂×C₂²⋊C₄	—	3	1	no	—
537	C₂×C₄²	—	3	1	no	—
538	C₂³×C₃	C₂⁴	1	1	yes	characteristic
539	C₂³×C₃	C₂⁴	1	1	yes	characteristic
540	C₂³×C₃	C₂⁴	1	1	yes	characteristic
541	C₂²×D₃	—	2	2	no	—
542	C₂²×D₃	—	2	2	no	—
543	C₂²×D₃	—	2	2	no	—
544	C₂²×D₃	—	2	2	no	—
545	C₂²×D₃	—	4	1	no	—
546	C₂²×D₃	—	4	1	no	—
547	C₂²×D₃	C₂⁴	1	1	yes	characteristic
548	C₂²×D₃	C₂⁴	1	1	yes	characteristic
549	C₂²×D₃	C₂⁴	1	1	yes	characteristic
550	C₂²×D₃	C₂⁴	1	1	yes	characteristic
551	C₃×Q₈	—	4	1	no	—
552	C₃×D₄	—	2	2	no	—
553	C₃×D₄	—	2	2	no	—
554	C₃×D₄	—	4	1	no	—
555	C₂×C₃×C₄	—	2	2	no	—
556	C₂×C₃×C₄	—	4	1	no	—
557	C₂×C₃×C₄	—	4	1	no	—
558	C₂×C₃×C₄	—	4	1	no	—
559	C₂×C₃×C₄	—	4	1	no	—
560	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
561	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
562	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
563	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
564	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
565	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
566	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
567	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
568	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
569	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
570	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
571	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
572	#67	—	2	2	no	—
573	#67	—	2	2	no	—
574	#67	—	2	2	no	—
575	#67	—	2	2	no	—
576	#67	—	2	2	no	—
577	#67	—	4	1	no	—
578	#67	—	4	1	no	—
579	#67	#41	1	4	yes	complemented
580	C₂×Dic₃	—	2	2	no	—
581	C₂×Dic₃	—	2	2	no	—
582	C₂×Dic₃	—	2	2	no	—
583	C₂×Dic₃	—	2	2	no	—
584	C₂×Dic₃	—	4	1	no	—
585	C₂×Dic₃	—	4	1	no	—
586	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
587	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
598	D₁₂	—	2	2	no	—
599	D₁₂	—	2	2	no	—
600	D₁₂	—	2	2	no	—
601	D₁₂	—	4	1	no	—
602	C₄×D₃	—	2	2	no	—
603	C₄×D₃	—	2	2	no	—
604	C₄×D₃	—	2	2	no	—
605	C₄×D₃	—	2	2	no	—
606	C₄×D₃	—	2	2	no	—
607	C₄×D₃	—	2	2	no	—
608	C₄×D₃	—	2	2	no	—
609	C₄×D₃	—	2	2	no	—
610	C₄×D₃	—	4	1	no	—
611	C₄×D₃	—	4	1	no	—
612	C₄×D₃	—	4	1	no	—
613	C₄×D₃	—	4	1	no	—
614	C₄×D₃	—	4	1	no	—
615	C₄×D₃	—	4	1	no	—
616	C₄×D₃	—	4	1	no	—
617	C₄×D₃	—	4	1	no	—
618	Dic₆	—	2	2	no	—
619	Dic₆	—	2	2	no	—
620	Dic₆	—	2	2	no	—
621	Dic₆	—	2	2	no	—
622	Dic₆	—	2	2	no	—
623	Dic₆	—	4	1	no	—
624	Dic₆	—	4	1	no	—
625	Dic₆	—	4	1	no	—
626	C₂⁴	—	3	1	no	—
627	C₂⁴	—	3	1	no	—
628	#41	—	6	4	no	—
629	#41	—	6	4	no	—
630	#41	—	12	2	no	—
631	#41	—	12	2	no	—
632	C₂×Q₈	—	3	1	no	—
633	C₂×Q₈	—	3	1	no	—
634	C₂×Q₈	—	3	1	no	—
635	C₂×Q₈	—	3	1	no	—
636	C₂×Q₈	—	3	1	no	—
637	C₂×Q₈	—	3	1	no	—
638	C₂×Q₈	—	3	1	no	—
639	C₂×Q₈	—	3	1	no	—
640	C₂×Q₈	—	12	2	no	—
641	C₂×Q₈	—	12	2	no	—
642	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic
643	C₂×D₄	—	3	1	no	—
644	C₂×D₄	—	3	1	no	—
645	C₂×D₄	—	3	1	no	—
646	C₂×D₄	—	3	1	no	—
647	C₂×D₄	—	3	1	no	—
648	C₂×D₄	—	3	1	no	—
649	C₂×D₄	—	3	1	no	—
650	C₂×D₄	—	3	1	no	—
651	C₂×D₄	—	3	1	no	—
652	C₂×D₄	—	3	1	no	—
653	C₂×D₄	—	3	1	no	—
654	C₂×D₄	—	3	1	no	—
655	C₂×D₄	—	6	4	no	—
656	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
657	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
658	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
659	C₂²×C₄	—	3	1	no	—
660	C₂²×C₄	—	3	1	no	—
661	C₂²×C₄	—	3	1	no	—
662	C₂²×C₄	—	3	1	no	—
663	C₂²×C₄	—	3	1	no	—
664	C₂²×C₄	—	3	1	no	—
665	C₂²×C₄	—	3	1	no	—
666	C₂²×C₄	—	3	1	no	—
667	C₂²×C₄	—	3	1	no	—
668	C₂²×C₄	—	3	1	no	—
669	C₂²×C₄	—	3	1	no	—
670	C₂²×C₄	—	3	1	no	—
671	C₂²×C₄	—	3	1	no	—
672	C₂²×C₄	—	3	1	no	—
673	C₂²×C₄	—	3	1	no	—
674	C₂²×C₄	—	3	1	no	—
675	C₂²×C₄	—	3	1	no	—
676	C₂²×C₄	—	3	1	no	—
677	C₂²×C₄	—	3	1	no	—
678	C₂²×C₄	—	3	1	no	—
679	C₂²×C₄	—	3	1	no	—
680	C₂²×C₄	—	3	1	no	—
681	C₂²×C₄	—	12	2	no	—
682	C₂²×C₄	—	12	2	no	—
683	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
684	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
685	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
686	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
687	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
688	C₄⋊C₄	—	3	1	no	—
689	C₄⋊C₄	—	3	1	no	—
690	C₄⋊C₄	—	3	1	no	—
691	C₄⋊C₄	—	3	1	no	—
692	C₄⋊C₄	—	3	1	no	—
693	C₄⋊C₄	—	3	1	no	—
694	C₄⋊C₄	—	3	1	no	—
695	C₄⋊C₄	—	3	1	no	—
696	C₄⋊C₄	—	3	1	no	—
697	C₄⋊C₄	—	3	1	no	—
698	C₄⋊C₄	—	3	1	no	—
699	C₄⋊C₄	—	3	1	no	—
700	C₄⋊C₄	—	3	1	no	—
701	C₄⋊C₄	—	3	1	no	—
702	C₄⋊C₄	—	3	1	no	—
703	C₄⋊C₄	—	3	1	no	—
704	C₄⋊C₄	—	3	1	no	—
705	C₄⋊C₄	—	3	1	no	—
706	C₄⋊C₄	—	3	1	no	—
707	C₄⋊C₄	—	3	1	no	—
708	C₄⋊C₄	—	3	1	no	—
709	C₄⋊C₄	—	3	1	no	—
710	C₄⋊C₄	—	3	1	no	—
711	C₄⋊C₄	—	3	1	no	—
712	C₄⋊C₄	—	3	1	no	—
713	C₄⋊C₄	—	3	1	no	—
714	C₄⋊C₄	—	3	1	no	—
715	C₄⋊C₄	—	3	1	no	—
716	C₄⋊C₄	—	3	1	no	—
717	C₄⋊C₄	—	3	1	no	—
718	C₄⋊C₄	—	3	1	no	—
719	C₄⋊C₄	—	3	1	no	—
720	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
721	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
722	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
723	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
724	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
728	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
729	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
730	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
731	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
732	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
733	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
734	C₂²⋊C₄	—	3	1	no	—
735	C₂²⋊C₄	—	3	1	no	—
736	C₂²⋊C₄	—	3	1	no	—
737	C₂²⋊C₄	—	3	1	no	—
738	C₂²⋊C₄	—	3	1	no	—
739	C₂²⋊C₄	—	3	1	no	—
740	C₂²⋊C₄	—	3	1	no	—
741	C₂²⋊C₄	—	3	1	no	—
742	C₂²⋊C₄	—	3	1	no	—
743	C₂²⋊C₄	—	3	1	no	—
744	C₂²⋊C₄	—	3	1	no	—
745	C₂²⋊C₄	—	3	1	no	—
746	C₂²⋊C₄	—	3	1	no	—
747	C₂²⋊C₄	—	3	1	no	—
748	C₂²⋊C₄	—	3	1	no	—
749	C₂²⋊C₄	—	3	1	no	—
750	C₂²⋊C₄	—	3	1	no	—
751	C₂²⋊C₄	—	3	1	no	—
752	C₂²⋊C₄	—	3	1	no	—
753	C₂²⋊C₄	—	3	1	no	—
754	C₂²⋊C₄	—	3	1	no	—
755	C₂²⋊C₄	—	3	1	no	—
756	C₂²⋊C₄	—	3	1	no	—
757	C₂²⋊C₄	—	3	1	no	—
758	C₂²⋊C₄	—	3	1	no	—
759	C₂²⋊C₄	—	3	1	no	—
760	C₂²⋊C₄	—	3	1	no	—
761	C₂²⋊C₄	—	3	1	no	—
762	C₂²⋊C₄	—	3	1	no	—
763	C₂²⋊C₄	—	3	1	no	—
764	C₂²⋊C₄	—	3	1	no	—
765	C₂²⋊C₄	—	3	1	no	—
766	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
767	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
768	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
769	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
770	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
771	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
772	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
773	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
774	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
775	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
776	C₄²	—	3	1	no	—
777	C₄²	—	3	1	no	—
778	C₄²	—	3	1	no	—
779	C₄²	—	3	1	no	—
780	C₄²	—	3	1	no	—
781	C₄²	—	3	1	no	—
782	C₄²	—	3	1	no	—
783	C₄²	—	3	1	no	—
784	C₄²	—	3	1	no	—
785	C₄²	—	3	1	no	—
786	C₄²	—	3	1	no	—
787	C₄²	—	3	1	no	—
788	C₄²	C₂²×D₃	1	1	yes	characteristic
789	C₄²	C₂²×D₃	1	1	yes	characteristic
790	C₂²×C₃	—	2	1	no	—
791	C₂²×C₃	—	2	1	no	—
792	C₂²×C₃	—	2	1	no	—
793	C₂²×C₃	—	2	1	no	—
794	C₂²×C₃	—	2	1	no	—
795	C₂²×C₃	—	2	1	no	—
796	C₂²×C₃	—	2	1	no	—
797	C₂²×C₃	—	2	1	no	—
798	C₂²×C₃	C₂×#41	1	2	yes	—
799	C₂²×C₃	C₂⁵	1	1	yes	characteristic
800	C₂×D₃	—	2	1	no	—
801	C₂×D₃	—	2	1	no	—
802	C₂×D₃	—	2	1	no	—
803	C₂×D₃	—	2	1	no	—
804	C₂×D₃	—	2	1	no	—
805	C₂×D₃	—	2	1	no	—
806	C₂×D₃	—	2	1	no	—
807	C₂×D₃	—	2	1	no	—
808	C₂×D₃	—	2	1	no	—
809	C₂×D₃	—	2	1	no	—
810	C₂×D₃	—	4	4	no	—
811	C₂×D₃	—	4	4	no	—
812	C₂×D₃	C₂×#41	1	2	yes	—
813	C₂×D₃	2₋¹⁺⁴	1	2	yes	—
814	C₃×C₄	—	2	1	no	—
815	C₃×C₄	—	2	1	no	—
816	C₃×C₄	—	2	1	no	—
817	C₃×C₄	—	2	1	no	—
818	C₃×C₄	—	2	1	no	—
819	C₃×C₄	—	2	1	no	—
820	C₃×C₄	—	2	1	no	—
821	C₃×C₄	—	2	1	no	—
822	C₃×C₄	—	2	1	no	—
823	C₃×C₄	—	2	1	no	—
824	C₃×C₄	—	2	1	no	—
825	C₃×C₄	—	2	1	no	—
826	Dic₃	—	2	1	no	—
827	Dic₃	—	2	1	no	—
828	Dic₃	—	2	1	no	—
829	Dic₃	—	2	1	no	—
830	Dic₃	—	2	1	no	—
831	Dic₃	—	2	1	no	—
832	Dic₃	—	2	1	no	—
833	Dic₃	—	2	1	no	—
834	Dic₃	—	2	1	no	—
835	Dic₃	—	2	1	no	—
836	Dic₃	C₂×#41	1	2	yes	—
837	Dic₃	H(5,𝔽₂)	1	2	yes	—
838	C₂³	—	3	1	no	—
839	C₂³	—	3	1	no	—
840	C₂³	—	3	1	no	—
841	C₂³	—	3	1	no	—
842	C₂³	—	6	2	no	—
843	C₂³	—	6	2	no	—
844	C₂³	—	6	2	no	—
845	C₂³	—	6	2	no	—
846	C₂³	—	12	1	no	—
847	C₂³	—	12	1	no	—
848	C₂³	C₂³×D₃	1	1	yes	characteristic
849	C₂³	C₂³×D₃	1	1	yes	characteristic
850	C₂³	C₂³×D₃	1	1	yes	characteristic
851	Q₈	—	4	1	no	—
852	Q₈	—	6	2	no	—
853	Q₈	—	6	2	no	—
854	Q₈	—	6	2	no	—
855	Q₈	—	6	2	no	—
856	Q₈	—	6	2	no	—
857	Q₈	—	12	1	no	—
858	Q₈	—	12	1	no	—
859	Q₈	—	12	1	no	—
860	D₄	—	2	2	no	—
861	D₄	—	2	2	no	—
862	D₄	—	3	4	no	—
863	D₄	—	4	1	no	—
864	D₄	—	6	2	no	—
865	D₄	—	6	2	no	—
866	D₄	—	6	2	no	—
867	D₄	—	6	2	no	—
868	D₄	—	6	2	no	—
869	D₄	—	6	2	no	—
870	D₄	—	6	2	no	—
871	D₄	—	6	2	no	—
872	D₄	—	12	1	no	—
873	D₄	—	12	1	no	—
874	D₄	—	12	1	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	3	1	no	—
877	C₂×C₄	—	3	1	no	—
878	C₂×C₄	—	3	1	no	—
879	C₂×C₄	—	3	1	no	—
880	C₂×C₄	—	3	1	no	—
881	C₂×C₄	—	3	1	no	—
882	C₂×C₄	—	3	1	no	—
883	C₂×C₄	—	3	1	no	—
884	C₂×C₄	—	3	1	no	—
885	C₂×C₄	—	3	1	no	—
886	C₂×C₄	—	3	1	no	—
887	C₂×C₄	—	3	1	no	—
888	C₂×C₄	—	4	1	no	—
889	C₂×C₄	—	4	1	no	—
890	C₂×C₄	—	4	1	no	—
891	C₂×C₄	—	4	1	no	—
892	C₂×C₄	—	6	2	no	—
893	C₂×C₄	—	6	2	no	—
894	C₂×C₄	—	6	2	no	—
895	C₂×C₄	—	6	2	no	—
896	C₂×C₄	—	6	2	no	—
897	C₂×C₄	—	6	2	no	—
898	C₂×C₄	—	6	2	no	—
899	C₂×C₄	—	6	2	no	—
900	C₂×C₄	—	6	2	no	—
901	C₂×C₄	—	6	2	no	—
902	C₂×C₄	—	6	2	no	—
903	C₂×C₄	—	6	2	no	—
904	C₂×C₄	—	12	1	no	—
905	C₂×C₄	—	12	1	no	—
906	C₂×C₄	—	12	1	no	—
907	C₂×C₄	—	12	1	no	—
908	C₂×C₄	—	12	1	no	—
909	C₂×C₄	—	12	1	no	—
910	C₂×C₄	—	12	1	no	—
911	C₂×C₄	—	12	1	no	—
912	C₂×C₄	—	12	1	no	—
913	C₂×C₄	—	12	1	no	—
914	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
915	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
916	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
917	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
918	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
919	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
920	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
921	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
922	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
923	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
924	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
925	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
926	C₂×C₃	—	2	2	no	—
927	C₂×C₃	—	4	1	no	—
928	C₂×C₃	—	4	1	no	—
929	C₂×C₃	C₂²×#41	1	1	yes	characteristic
930	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
931	C₂×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
932	D₃	—	2	2	no	—
933	D₃	—	2	2	no	—
934	D₃	—	4	1	no	—
935	D₃	—	4	1	no	—
936	C₂²	—	2	1	no	—
937	C₂²	—	2	1	no	—
938	C₂²	—	2	1	no	—
939	C₂²	—	2	1	no	—
940	C₂²	—	2	1	no	—
941	C₂²	—	2	1	no	—
942	C₂²	—	2	1	no	—
943	C₂²	—	2	1	no	—
944	C₂²	—	3	2	no	—
945	C₂²	—	3	2	no	—
946	C₂²	—	6	1	no	—
947	C₂²	—	6	1	no	—
948	C₂²	—	6	1	no	—
949	C₂²	—	6	1	no	—
950	C₂²	—	6	1	no	—
951	C₂²	—	6	1	no	—
952	C₂²	—	6	1	no	—
953	C₂²	—	6	1	no	—
954	C₂²	—	6	1	no	—
955	C₂²	—	6	1	no	—
956	C₂²	—	12	4	no	—
957	C₂²	—	12	4	no	—
958	C₂²	D₃×#41	1	2	yes	—
959	C₂²	C₂⁴×D₃	1	1	yes	characteristic
960	C₄	—	2	1	no	—
961	C₄	—	2	1	no	—
962	C₄	—	2	1	no	—
963	C₄	—	2	1	no	—
964	C₄	—	2	1	no	—
965	C₄	—	2	1	no	—
966	C₄	—	2	1	no	—
967	C₄	—	2	1	no	—
968	C₄	—	2	1	no	—
969	C₄	—	2	1	no	—
970	C₄	—	2	1	no	—
971	C₄	—	2	1	no	—
972	C₄	—	3	2	no	—
973	C₄	—	3	2	no	—
974	C₄	—	6	1	no	—
975	C₄	—	6	1	no	—
976	C₄	—	6	1	no	—
977	C₄	—	6	1	no	—
978	C₄	—	6	1	no	—
979	C₄	—	6	1	no	—
980	C₄	—	6	1	no	—
981	C₄	—	6	1	no	—
982	C₄	—	6	1	no	—
983	C₄	—	6	1	no	—
984	C₃	#3520	1	1	yes	characteristic, complemented, Sylow
985	C₂	—	2	2	no	—
986	C₂	—	4	1	no	—
987	C₂	—	4	1	no	—
988	C₂	—	6	2	no	—
989	C₂	—	6	2	no	—
990	C₂	—	12	1	no	—
991	C₂	—	12	1	no	—
992	C₂	C₂×D₃×#41	1	1	yes	characteristic
993	C₂	D₃×H(5,𝔽₂)	1	1	yes	characteristic
994	C₂	D₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁵
Fitting	C₃×#539	C₂
hypercenter	#539	D₃
hypocenter	C₃	#3520
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. C₃×#539	C₂	semidirect
2. #5707	C₂	semidirect
3. #5706	C₂	semidirect
4. #5705	C₂	semidirect
5. #5702	C₂	semidirect
6. #5693	C₂	semidirect
7. #5692	C₂	semidirect
8. #5690	C₂	semidirect
9. #5688	C₂	semidirect
10. #5662	C₂	semidirect
11. #5659	C₂	semidirect
12. #5658	C₂	semidirect
13. #5656	C₂	semidirect
14. #5655	C₂	semidirect
15. #5655	C₂	semidirect
16. #5654	C₂	semidirect
17. #5650	C₂	semidirect
18. #5640	C₂	semidirect
19. #5637	C₂	semidirect
20. #5636	C₂	semidirect
21. #5633	C₂	semidirect
22. #5632	C₂	semidirect
23. D₃×C₂²⋊Q₈	C₂	semidirect
24. #5610	C₂	semidirect
25. #5598	C₂	semidirect
26. #5564	C₂	semidirect
27. #5547	C₂	semidirect
28. #5546	C₂	semidirect
29. C₄×D₃×D₄	C₂	semidirect
30. C₂×#896	C₂	semidirect
31. #5504	C₂	semidirect
33. C₂×D₃×Q₈	C₂²	semidirect
35. C₂×#237	C₂²	semidirect
38. C₂×#235	C₂²	semidirect
41. C₂²×Dic₆	C₂²	semidirect
42. C₃×#126	C₂²	semidirect
43. C₃×#126	C₂²	semidirect
44. C₃×#125	C₂²	semidirect
45. C₃×#125	C₂²	semidirect
47. C₃×#123	C₂²	semidirect
48. C₃×#123	C₂²	semidirect
49. C₃×#123	C₂²	semidirect
50. C₃×C₂²⋊Q₈	C₂²	semidirect
51. C₃×C₂²⋊Q₈	C₂²	semidirect
52. C₃×C₂²⋊Q₈	C₂²	semidirect
55. C₃×C₄×D₄	C₂²	semidirect
56. C₂×C₃×C₄⋊C₄	C₂²	semidirect
57. #947	C₂²	semidirect
59. #944	C₂²	semidirect
62. #939	C₂²	semidirect
65. #936	C₂²	semidirect
68. D₄×Dic₃	C₂²	semidirect
69. #929	C₂²	semidirect
74. C₄×#67	C₂²	semidirect
75. C₄×#67	C₂²	semidirect
76. C₄×#67	C₂²	semidirect
79. #926	C₂²	semidirect
80. #924	C₂²	semidirect
81. C₂×Dic₃⋊C₄	C₂²	semidirect
82. C₂×Dic₃⋊C₄	C₂²	semidirect
83. C₂×Dic₃⋊C₄	C₂²	semidirect
84. #898	C₂²	semidirect
85. #898	C₂²	semidirect
86. #898	C₂²	semidirect
87. #898	C₂²	semidirect
89. #897	C₂²	semidirect
90. #897	C₂²	semidirect
98. #896	C₂²	semidirect
99. #896	C₂²	semidirect
100. #896	C₂²	semidirect
101. #896	C₂²	semidirect
102. #896	C₂²	semidirect
103. #896	C₂²	semidirect
104. #896	C₂²	semidirect
105. #896	C₂²	semidirect
110. #894	C₂²	semidirect
111. #894	C₂²	semidirect
112. #894	C₂²	semidirect
116. #893	C₂²	semidirect
117. #893	C₂²	semidirect
120. #892	C₂²	semidirect
121. #892	C₂²	semidirect
123. D₃×C₄⋊C₄	C₂²	semidirect
124. D₃×C₄⋊C₄	C₂²	semidirect
125. D₃×C₄⋊C₄	C₂²	semidirect
126. D₃×C₄⋊C₄	C₂²	semidirect
127. #890	C₂²	semidirect
128. #889	C₂²	semidirect
129. #889	C₂²	semidirect
130. #889	C₂²	semidirect
131. #888	C₂²	semidirect
132. #888	C₂²	semidirect
133. #888	C₂²	semidirect
134. #887	C₂²	semidirect
135. #887	C₂²	semidirect
136. #887	C₂²	semidirect
137. #887	C₂²	semidirect
138. #887	C₂²	semidirect
139. #887	C₂²	semidirect
140. #886	C₂²	semidirect
141. #886	C₂²	semidirect
144. #885	C₂²	semidirect
145. #885	C₂²	semidirect
146. #885	C₂²	semidirect
150. #884	C₂²	semidirect
152. #883	C₂²	semidirect
153. #883	C₂²	semidirect
154. #883	C₂²	semidirect
162. #67⋊C₄	C₂²	semidirect
163. #67⋊C₄	C₂²	semidirect
168. #879	C₂²	semidirect
169. #879	C₂²	semidirect
170. #879	C₂²	semidirect
171. #878	C₂²	semidirect
172. #878	C₂²	semidirect
173. #878	C₂²	semidirect
174. #878	C₂²	semidirect
175. #878	C₂²	semidirect
176. #878	C₂²	semidirect
177. #877	C₂²	semidirect
178. #877	C₂²	semidirect
179. #877	C₂²	semidirect
180. #876	C₂²	semidirect
183. #872	C₂²	semidirect
184. #872	C₂²	semidirect
186. #870	C₂²	semidirect
187. C₄×Dic₆	C₂²	semidirect
209. #539	D₃	semidirect
404. #126	C₂×D₃	semidirect
405. #126	C₂×D₃	semidirect
411. #125	C₂×D₃	semidirect
412. #125	C₂×D₃	semidirect
435. #123	C₂×D₃	semidirect
436. #123	C₂×D₃	semidirect
437. #123	C₂×D₃	semidirect
464. C₂²⋊Q₈	C₂×D₃	semidirect
465. C₂²⋊Q₈	C₂×D₃	semidirect
466. C₂²⋊Q₈	C₂×D₃	semidirect
511. C₄×D₄	C₂×D₃	semidirect
530. C₂×C₄⋊C₄	C₂×D₃	semidirect
579. #67	#41	semidirect
984. C₃	#3520	semidirect

Maximal subgroups

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

subgroup	index
C₃×#539	2
#5707	2
#5706	2
#5705	2
#5702	2
#5693	2
#5692	2
#5690	2
#5688	2
#5662	2
#5659	2
#5658	2
#5656	2
#5655	2
#5654	2
#5650	2
#5640	2
#5637	2
#5636	2
#5633	2
#5632	2
D₃×C₂²⋊Q₈	2
#5610	2
#5598	2
#5564	2
#5547	2
#5546	2
C₄×D₃×D₄	2
C₂×#896	2
#5504	2
#3520	3