Subgroups — #87132

Order 384.

1004 conjugacy classes of subgroups.

The subgroup lattice has 946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#563	C₂	1	1	yes	maximal, characteristic, complemented
2	#5735	C₂	1	1	yes	maximal, characteristic, complemented
3	#5729	C₂	1	1	yes	maximal, characteristic, complemented
4	#5727	C₂	1	1	yes	maximal, characteristic, complemented
5	D₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
6	#5712	C₂	1	1	yes	maximal, characteristic, complemented
7	#5712	C₂	1	1	yes	maximal, characteristic, complemented
8	#5709	C₂	1	1	yes	maximal, characteristic, complemented
9	#5707	C₂	1	1	yes	maximal, characteristic, complemented
10	#5706	C₂	1	1	yes	maximal, characteristic, complemented
11	#5706	C₂	1	1	yes	maximal, characteristic, complemented
12	#5702	C₂	1	1	yes	maximal, characteristic, complemented
13	#5701	C₂	1	1	yes	maximal, characteristic, complemented
14	#5696	C₂	1	1	yes	maximal, characteristic, complemented
15	#5692	C₂	1	1	yes	maximal, characteristic, complemented
16	#5690	C₂	1	1	yes	maximal, characteristic, complemented
17	#5685	C₂	1	1	yes	maximal, characteristic, complemented
18	#5677	C₂	1	1	yes	maximal, characteristic, complemented
19	#5669	C₂	1	1	yes	maximal, characteristic, complemented
20	#5661	C₂	1	1	yes	maximal, characteristic, complemented
21	#5660	C₂	1	1	yes	maximal, characteristic, complemented
22	#5655	C₂	1	1	yes	maximal, characteristic, complemented
23	#5648	C₂	1	1	yes	maximal, characteristic, complemented
24	#5640	C₂	1	1	yes	maximal, characteristic, complemented
25	#5638	C₂	1	1	yes	maximal, characteristic, complemented
26	#5636	C₂	1	1	yes	maximal, characteristic, complemented
27	#5633	C₂	1	1	yes	maximal, characteristic, complemented
28	#5632	C₂	1	1	yes	maximal, characteristic, complemented
29	#5632	C₂	1	1	yes	maximal, characteristic, complemented
30	#5628	C₂	1	1	yes	maximal, characteristic, complemented
31	#5623	C₂	1	1	yes	maximal, characteristic, complemented
32	#3552	—	3	1	no	maximal, Sylow
33	C₂×D₃×Q₈	C₂²	1	1	yes	characteristic
34	C₂×D₃×Q₈	C₂²	1	1	yes	characteristic
35	C₂×D₃×Q₈	C₂²	1	1	yes	characteristic
36	C₂×#237	C₂²	1	1	yes	characteristic
37	C₂×#235	C₂²	1	1	yes	characteristic
38	C₂²×Dic₆	C₂²	1	1	yes	characteristic
39	C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
40	C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	C₃×#126	C₂²	1	1	yes	characteristic
42	C₃×#126	C₂²	1	1	yes	characteristic
43	C₃×#126	C₂²	1	1	yes	characteristic
44	C₃×#126	C₂²	1	1	yes	characteristic
45	C₃×#125	C₂²	1	1	yes	characteristic
46	C₃×#125	C₂²	1	1	yes	characteristic
47	C₃×#124	C₂²	1	1	yes	characteristic
48	C₃×#123	C₂²	1	1	yes	characteristic
49	C₃×#123	C₂²	1	1	yes	characteristic
50	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	#947	C₂²	1	1	yes	characteristic
55	#946	C₂²	1	1	yes	characteristic
56	#946	C₂²	1	1	yes	characteristic
57	#946	C₂²	1	1	yes	characteristic
58	#946	C₂²	1	1	yes	characteristic
59	#944	C₂²	1	1	yes	characteristic
60	#944	C₂²	1	1	yes	characteristic
61	#944	C₂²	1	1	yes	characteristic
62	#944	C₂²	1	1	yes	characteristic
63	#939	C₂²	1	1	yes	characteristic
64	#938	C₂²	1	1	yes	characteristic
65	#935	C₂²	1	1	yes	characteristic
66	#929	C₂²	1	1	yes	characteristic
67	C₄×#67	C₂²	1	1	yes	characteristic
68	C₄×#67	C₂²	1	1	yes	characteristic
69	C₄×#67	C₂²	1	1	yes	characteristic
70	#924	C₂²	1	1	yes	characteristic
71	C₂×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
72	#898	C₂²	1	1	yes	characteristic
73	#898	C₂²	1	1	yes	characteristic
74	#898	C₂²	1	1	yes	characteristic
75	#898	C₂²	1	1	yes	characteristic
76	#898	C₂²	1	1	yes	characteristic
77	#897	C₂²	1	1	yes	characteristic
78	#897	C₂²	1	1	yes	characteristic
79	#897	C₂²	1	1	yes	characteristic
80	#896	C₂²	1	1	yes	characteristic
81	#896	C₂²	1	1	yes	characteristic
82	#896	C₂²	1	1	yes	characteristic
83	#896	C₂²	1	1	yes	characteristic
84	#896	C₂²	1	1	yes	characteristic
85	#896	C₂²	1	1	yes	characteristic
86	#896	C₂²	1	1	yes	characteristic
87	#896	C₂²	1	1	yes	characteristic
88	#896	C₂²	1	1	yes	characteristic
89	#896	C₂²	1	1	yes	characteristic
90	#896	C₂²	1	1	yes	characteristic
91	#896	C₂²	1	1	yes	characteristic
92	#895	C₂²	1	1	yes	characteristic
93	#894	C₂²	1	1	yes	characteristic
94	#894	C₂²	1	1	yes	characteristic
95	#894	C₂²	1	1	yes	characteristic
96	#894	C₂²	1	1	yes	characteristic
97	#894	C₂²	1	1	yes	characteristic
98	#893	C₂²	1	1	yes	characteristic
99	#893	C₂²	1	1	yes	characteristic
100	#893	C₂²	1	1	yes	characteristic
101	#893	C₂²	1	1	yes	characteristic
102	#892	C₂²	1	1	yes	characteristic
103	#892	C₂²	1	1	yes	characteristic
104	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	#890	C₂²	1	1	yes	characteristic
110	#890	C₂²	1	1	yes	characteristic
111	#890	C₂²	1	1	yes	characteristic
112	#889	C₂²	1	1	yes	characteristic
113	#889	C₂²	1	1	yes	characteristic
114	#889	C₂²	1	1	yes	characteristic
115	#889	C₂²	1	1	yes	characteristic
116	#889	C₂²	1	1	yes	characteristic
117	#889	C₂²	1	1	yes	characteristic
118	#889	C₂²	1	1	yes	characteristic
119	#889	C₂²	1	1	yes	characteristic
120	#889	C₂²	1	1	yes	characteristic
121	#889	C₂²	1	1	yes	characteristic
122	#888	C₂²	1	1	yes	characteristic
123	#888	C₂²	1	1	yes	characteristic
124	#888	C₂²	1	1	yes	characteristic
125	#888	C₂²	1	1	yes	characteristic
126	#888	C₂²	1	1	yes	characteristic
127	#888	C₂²	1	1	yes	characteristic
128	#888	C₂²	1	1	yes	characteristic
129	#888	C₂²	1	1	yes	characteristic
130	#888	C₂²	1	1	yes	characteristic
131	#887	C₂²	1	1	yes	characteristic
132	#887	C₂²	1	1	yes	characteristic
133	#887	C₂²	1	1	yes	characteristic
134	#887	C₂²	1	1	yes	characteristic
135	#887	C₂²	1	1	yes	characteristic
136	#886	C₂²	1	1	yes	characteristic
137	#886	C₂²	1	1	yes	characteristic
138	#885	C₂²	1	1	yes	characteristic
139	#885	C₂²	1	1	yes	characteristic
140	#885	C₂²	1	1	yes	characteristic
141	#885	C₂²	1	1	yes	characteristic
142	#885	C₂²	1	1	yes	characteristic
143	#885	C₂²	1	1	yes	characteristic
144	#884	C₂²	1	1	yes	characteristic
145	#884	C₂²	1	1	yes	characteristic
146	#884	C₂²	1	1	yes	characteristic
147	#884	C₂²	1	1	yes	characteristic
148	#884	C₂²	1	1	yes	characteristic
149	#883	C₂²	1	1	yes	characteristic
150	#883	C₂²	1	1	yes	characteristic
151	#883	C₂²	1	1	yes	characteristic
152	#883	C₂²	1	1	yes	characteristic
153	#883	C₂²	1	1	yes	characteristic
154	#67⋊C₄	C₂²	1	1	yes	characteristic
155	#67⋊C₄	C₂²	1	1	yes	characteristic
156	#67⋊C₄	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	#879	C₂²	1	1	yes	characteristic
162	#879	C₂²	1	1	yes	characteristic
163	#879	C₂²	1	1	yes	characteristic
164	#879	C₂²	1	1	yes	characteristic
165	#878	C₂²	1	1	yes	characteristic
166	#878	C₂²	1	1	yes	characteristic
167	#878	C₂²	1	1	yes	characteristic
168	#878	C₂²	1	1	yes	characteristic
169	#878	C₂²	1	1	yes	characteristic
170	#878	C₂²	1	1	yes	characteristic
171	#878	C₂²	1	1	yes	characteristic
172	#878	C₂²	1	1	yes	characteristic
173	#877	C₂²	1	1	yes	characteristic
174	#877	C₂²	1	1	yes	characteristic
175	#877	C₂²	1	1	yes	characteristic
176	#876	C₂²	1	1	yes	characteristic
177	#876	C₂²	1	1	yes	characteristic
178	#876	C₂²	1	1	yes	characteristic
179	C₄×D₁₂	C₂²	1	1	yes	characteristic
180	C₄×D₁₂	C₂²	1	1	yes	characteristic
181	#872	C₂²	1	1	yes	characteristic
182	C₄²×D₃	C₂²	1	1	yes	characteristic
183	#870	C₂²	1	1	yes	characteristic
184	#869	C₂²	1	1	yes	characteristic
185	C₄×Dic₆	C₂²	1	1	yes	characteristic
186	C₄×Dic₆	C₂²	1	1	yes	characteristic
187	C₄×Dic₆	C₂²	1	1	yes	characteristic
188	#563	—	3	1	no	—
189	#563	—	3	1	no	—
190	#563	—	3	1	no	—
191	#563	D₃	1	1	yes	characteristic, complemented
192	#557	—	3	1	no	—
193	#556	—	3	1	no	—
194	#554	—	3	1	no	—
195	#554	—	3	1	no	—
196	#553	—	3	1	no	—
197	#553	—	3	1	no	—
198	D₄×Q₈	—	3	1	no	—
199	D₄×Q₈	—	3	1	no	—
200	D₄×Q₈	—	3	1	no	—
201	#548	—	3	1	no	—
202	#548	—	3	1	no	—
203	#547	—	3	1	no	—
204	#544	—	3	1	no	—
205	#544	—	3	1	no	—
206	#542	—	3	1	no	—
207	#542	—	3	1	no	—
208	#541	—	3	1	no	—
209	#541	—	3	1	no	—
210	#539	—	3	1	no	—
211	#539	—	3	1	no	—
212	#539	—	3	1	no	—
213	#539	—	3	1	no	—
214	#536	—	3	1	no	—
215	#536	—	3	1	no	—
216	C₂×C₄⋊Q₈	—	3	1	no	—
217	#529	—	3	1	no	—
218	#529	—	3	1	no	—
219	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
224	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
225	C₂×#67	C₂³	1	1	yes	characteristic
226	C₂×#67	C₂³	1	1	yes	characteristic
227	C₂×#67	C₂³	1	1	yes	characteristic
228	C₂×#67	C₂³	1	1	yes	characteristic
229	C₂×#67	C₂³	1	1	yes	characteristic
230	C₂×#67	C₂³	1	1	yes	characteristic
231	C₂²×Dic₃	C₂³	1	1	yes	characteristic
232	C₂²×Dic₃	C₂³	1	1	yes	characteristic
233	C₂²×Dic₃	C₂³	1	1	yes	characteristic
234	C₂²×Dic₃	C₂³	1	1	yes	characteristic
235	D₃×Q₈	—	4	2	no	—
236	D₃×Q₈	—	4	2	no	—
237	D₃×Q₈	—	4	2	no	—
238	#237	—	4	2	no	—
239	#235	—	4	2	no	—
240	C₂×D₁₂	C₂³	1	1	yes	characteristic
241	C₂×D₁₂	C₂³	1	1	yes	characteristic
242	C₂×D₁₂	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
256	C₂×Dic₆	—	4	2	no	—
257	C₂×Dic₆	C₂³	1	1	yes	characteristic
258	C₂×Dic₆	C₂³	1	1	yes	characteristic
259	C₂×Dic₆	C₂³	1	1	yes	characteristic
260	C₂×Dic₆	C₂³	1	1	yes	characteristic
261	C₂×Dic₆	C₂³	1	1	yes	characteristic
262	C₂×Dic₆	C₂³	1	1	yes	characteristic
263	C₂×Dic₆	C₂³	1	1	yes	characteristic
264	C₂×Dic₆	C₂³	1	1	yes	characteristic
265	C₂×Dic₆	C₂³	1	1	yes	characteristic
266	C₂×Dic₆	C₂³	1	1	yes	characteristic
267	C₂×Dic₆	C₂³	1	1	yes	characteristic
268	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₃×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₃×C₄²	C₂³	1	1	yes	characteristic
295	C₃×C₄²	C₂³	1	1	yes	characteristic
296	C₃×C₄²	C₂³	1	1	yes	characteristic
297	#217	C₂³	1	1	yes	characteristic
298	#217	C₂³	1	1	yes	characteristic
299	#217	C₂³	1	1	yes	characteristic
300	#217	C₂³	1	1	yes	characteristic
301	#217	C₂³	1	1	yes	characteristic
302	#217	C₂³	1	1	yes	characteristic
303	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₃)⋊C₄	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	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
324	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
325	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
326	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
327	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
328	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
329	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
330	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
331	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
332	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
333	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
334	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
335	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
336	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
337	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
338	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
339	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
340	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
341	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
342	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
343	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
344	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
345	Dic₃⋊C₄	C₂³	1	1	yes	characteristic
346	Dic₃⋊C₄	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	C₄×Dic₃	C₂³	1	1	yes	characteristic
368	C₄×Dic₃	C₂³	1	1	yes	characteristic
369	C₄×Dic₃	C₂³	1	1	yes	characteristic
370	C₄×Dic₃	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	C₂×#41	—	3	1	no	—
381	C₂×#41	—	3	1	no	—
382	C₂²×Q₈	—	3	1	no	—
383	C₂²×Q₈	—	3	1	no	—
384	C₂²×Q₈	—	3	1	no	—
385	C₂²×Q₈	—	3	1	no	—
386	C₄⋊Q₈	—	3	1	no	—
387	C₄⋊Q₈	—	3	1	no	—
388	C₄⋊Q₈	—	3	1	no	—
389	C₄⋊Q₈	—	3	1	no	—
390	C₄⋊Q₈	—	3	1	no	—
391	C₄⋊Q₈	—	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	C₄⋊Q₈	—	3	1	no	—
397	C₄⋊Q₈	—	3	1	no	—
398	C₄⋊Q₈	—	3	1	no	—
399	C₄⋊Q₈	—	3	1	no	—
400	C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
401	C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
402	#126	—	3	1	no	—
403	#126	—	3	1	no	—
404	#126	—	3	1	no	—
405	#126	—	3	1	no	—
406	#126	—	3	1	no	—
407	#126	—	3	1	no	—
408	#126	—	3	1	no	—
409	#126	—	3	1	no	—
410	#126	—	3	1	no	—
411	#126	—	3	1	no	—
412	#126	—	3	1	no	—
413	#126	—	3	1	no	—
414	#126	C₂×D₃	1	1	yes	characteristic
415	#126	C₂×D₃	1	1	yes	characteristic
416	#126	C₂×D₃	1	1	yes	characteristic
417	#126	C₂×D₃	1	1	yes	characteristic
418	#125	—	3	1	no	—
419	#125	—	3	1	no	—
420	#125	—	3	1	no	—
421	#125	—	3	1	no	—
422	#125	—	3	1	no	—
423	#125	—	3	1	no	—
424	#125	—	3	1	no	—
425	#125	—	3	1	no	—
426	#125	—	3	1	no	—
427	#125	—	3	1	no	—
428	#125	—	3	1	no	—
429	#125	—	3	1	no	—
430	#125	—	3	1	no	—
431	#125	—	3	1	no	—
432	#125	C₂×D₃	1	1	yes	characteristic
433	#125	C₂×D₃	1	1	yes	characteristic
434	#124	—	3	1	no	—
435	#124	—	3	1	no	—
436	#124	—	3	1	no	—
437	#124	—	3	1	no	—
438	#124	—	3	1	no	—
439	#124	—	3	1	no	—
440	#124	—	3	1	no	—
441	#124	C₂×D₃	1	1	yes	characteristic
442	#123	—	3	1	no	—
443	#123	—	3	1	no	—
444	#123	—	3	1	no	—
445	#123	—	3	1	no	—
446	#123	—	3	1	no	—
447	#123	—	3	1	no	—
448	#123	—	3	1	no	—
449	#123	—	3	1	no	—
450	#123	—	3	1	no	—
451	#123	—	3	1	no	—
452	#123	—	3	1	no	—
453	#123	—	3	1	no	—
454	#123	—	3	1	no	—
455	#123	—	3	1	no	—
456	#123	C₂×D₃	1	1	yes	characteristic
457	#123	C₂×D₃	1	1	yes	characteristic
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	—	3	1	no	—
465	C₂²⋊Q₈	—	3	1	no	—
466	C₂²⋊Q₈	—	3	1	no	—
467	C₂²⋊Q₈	—	3	1	no	—
468	C₂²⋊Q₈	—	3	1	no	—
469	C₂²⋊Q₈	—	3	1	no	—
470	C₂²⋊Q₈	—	3	1	no	—
471	C₂²⋊Q₈	—	3	1	no	—
472	C₂²⋊Q₈	—	3	1	no	—
473	C₂²⋊Q₈	—	3	1	no	—
474	C₂²⋊Q₈	—	3	1	no	—
475	C₂²⋊Q₈	—	3	1	no	—
476	C₂²⋊Q₈	—	3	1	no	—
477	C₂²⋊Q₈	—	3	1	no	—
478	C₂²⋊Q₈	—	3	1	no	—
479	C₂²⋊Q₈	—	3	1	no	—
480	C₂²⋊Q₈	—	3	1	no	—
481	C₂²⋊Q₈	—	3	1	no	—
482	C₂²⋊Q₈	—	3	1	no	—
483	C₂²⋊Q₈	—	3	1	no	—
484	C₂²⋊Q₈	—	3	1	no	—
485	C₂²⋊Q₈	—	3	1	no	—
486	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
487	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
488	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
489	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
490	#121	—	3	1	no	—
491	#121	—	3	1	no	—
492	#121	—	3	1	no	—
493	#121	—	3	1	no	—
494	#121	—	3	1	no	—
495	#121	—	3	1	no	—
496	#121	—	3	1	no	—
497	#121	—	3	1	no	—
498	C₄×Q₈	—	3	1	no	—
499	C₄×Q₈	—	3	1	no	—
500	C₄×Q₈	—	3	1	no	—
501	C₄×Q₈	—	3	1	no	—
502	C₄×Q₈	—	3	1	no	—
503	C₄×Q₈	—	3	1	no	—
504	C₄×Q₈	—	3	1	no	—
505	C₄×Q₈	—	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	—	3	1	no	—
511	C₄×D₄	—	3	1	no	—
512	C₄×D₄	—	3	1	no	—
513	C₄×D₄	—	3	1	no	—
514	C₄×D₄	—	3	1	no	—
515	C₄×D₄	—	3	1	no	—
516	C₄×D₄	—	3	1	no	—
517	C₄×D₄	—	3	1	no	—
518	C₄×D₄	—	3	1	no	—
519	C₄×D₄	—	3	1	no	—
520	C₄×D₄	—	3	1	no	—
521	C₄×D₄	—	3	1	no	—
522	#117	—	3	1	no	—
523	#117	—	3	1	no	—
524	#117	—	3	1	no	—
525	#117	—	3	1	no	—
526	#117	—	3	1	no	—
527	#117	—	3	1	no	—
528	C₂×C₄⋊C₄	—	3	1	no	—
529	C₂×C₄⋊C₄	—	3	1	no	—
530	C₂×C₄⋊C₄	—	3	1	no	—
531	C₂×C₄⋊C₄	—	3	1	no	—
532	C₂×C₄⋊C₄	—	3	1	no	—
533	C₂×C₄⋊C₄	—	3	1	no	—
534	C₂×C₄²	—	3	1	no	—
535	C₂³×C₃	C₂⁴	1	1	yes	characteristic
536	C₂³×C₃	C₂⁴	1	1	yes	characteristic
537	C₂²×D₃	C₂⁴	1	1	yes	characteristic
538	C₂²×D₃	C₂⁴	1	1	yes	characteristic
539	C₂²×D₃	C₂⁴	1	1	yes	characteristic
540	C₃×Q₈	—	4	1	no	—
541	C₃×Q₈	—	4	1	no	—
542	C₃×Q₈	—	4	1	no	—
543	C₃×D₄	—	4	1	no	—
544	C₂×C₃×C₄	—	4	1	no	—
545	C₂×C₃×C₄	—	4	1	no	—
546	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
547	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
548	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
549	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
550	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
551	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
552	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
554	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
555	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
557	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
558	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
559	#67	—	2	2	no	—
560	#67	—	2	2	no	—
561	#67	—	2	2	no	—
562	#67	—	2	2	no	—
563	#67	—	4	1	no	—
564	#67	—	4	1	no	—
565	C₂×Dic₃	—	2	2	no	—
566	C₂×Dic₃	—	2	2	no	—
567	C₂×Dic₃	—	4	1	no	—
568	C₂×Dic₃	—	4	1	no	—
569	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
579	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
582	D₁₂	—	2	2	no	—
583	D₁₂	—	2	2	no	—
584	D₁₂	—	4	1	no	—
585	C₄×D₃	—	2	2	no	—
586	C₄×D₃	—	2	2	no	—
587	C₄×D₃	—	2	2	no	—
588	C₄×D₃	—	2	2	no	—
589	C₄×D₃	—	2	2	no	—
590	C₄×D₃	—	4	1	no	—
591	C₄×D₃	—	4	1	no	—
592	C₄×D₃	—	4	1	no	—
593	C₄×D₃	—	4	1	no	—
594	C₄×D₃	—	4	1	no	—
595	C₄×D₃	—	4	1	no	—
596	C₄×D₃	—	4	1	no	—
597	C₄×D₃	—	4	1	no	—
598	Dic₆	—	2	2	no	—
599	Dic₆	—	2	2	no	—
600	Dic₆	—	2	2	no	—
601	Dic₆	—	2	2	no	—
602	Dic₆	—	2	2	no	—
603	Dic₆	—	2	2	no	—
604	Dic₆	—	4	1	no	—
605	Dic₆	—	4	1	no	—
606	Dic₆	—	4	1	no	—
607	Dic₆	—	4	1	no	—
608	Dic₆	—	4	1	no	—
609	#41	—	12	2	no	—
610	#41	—	12	2	no	—
611	C₂×Q₈	—	3	1	no	—
612	C₂×Q₈	—	3	1	no	—
613	C₂×Q₈	—	3	1	no	—
614	C₂×Q₈	—	3	1	no	—
615	C₂×Q₈	—	3	1	no	—
616	C₂×Q₈	—	3	1	no	—
617	C₂×Q₈	—	3	1	no	—
618	C₂×Q₈	—	3	1	no	—
619	C₂×Q₈	—	3	1	no	—
620	C₂×Q₈	—	3	1	no	—
621	C₂×Q₈	—	3	1	no	—
622	C₂×Q₈	—	12	2	no	—
623	C₂×Q₈	—	12	2	no	—
624	C₂×Q₈	—	12	2	no	—
625	C₂×Q₈	—	12	2	no	—
626	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic
627	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic
628	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic
629	C₂×D₄	—	3	1	no	—
630	C₂×D₄	—	3	1	no	—
631	C₂×D₄	—	3	1	no	—
632	C₂×D₄	—	3	1	no	—
633	C₂×D₄	—	3	1	no	—
634	C₂×D₄	—	3	1	no	—
635	C₂×D₄	—	3	1	no	—
636	C₂×D₄	—	3	1	no	—
637	C₂×D₄	—	3	1	no	—
638	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
639	C₂²×C₄	—	3	1	no	—
640	C₂²×C₄	—	3	1	no	—
641	C₂²×C₄	—	3	1	no	—
642	C₂²×C₄	—	3	1	no	—
643	C₂²×C₄	—	3	1	no	—
644	C₂²×C₄	—	3	1	no	—
645	C₂²×C₄	—	3	1	no	—
646	C₂²×C₄	—	3	1	no	—
647	C₂²×C₄	—	3	1	no	—
648	C₂²×C₄	—	3	1	no	—
649	C₂²×C₄	—	3	1	no	—
650	C₂²×C₄	—	3	1	no	—
651	C₂²×C₄	—	3	1	no	—
652	C₂²×C₄	—	3	1	no	—
653	C₂²×C₄	—	3	1	no	—
654	C₂²×C₄	—	3	1	no	—
655	C₂²×C₄	—	3	1	no	—
656	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
657	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
658	C₄⋊C₄	—	3	1	no	—
659	C₄⋊C₄	—	3	1	no	—
660	C₄⋊C₄	—	3	1	no	—
661	C₄⋊C₄	—	3	1	no	—
662	C₄⋊C₄	—	3	1	no	—
663	C₄⋊C₄	—	3	1	no	—
664	C₄⋊C₄	—	3	1	no	—
665	C₄⋊C₄	—	3	1	no	—
666	C₄⋊C₄	—	3	1	no	—
667	C₄⋊C₄	—	3	1	no	—
668	C₄⋊C₄	—	3	1	no	—
669	C₄⋊C₄	—	3	1	no	—
670	C₄⋊C₄	—	3	1	no	—
671	C₄⋊C₄	—	3	1	no	—
672	C₄⋊C₄	—	3	1	no	—
673	C₄⋊C₄	—	3	1	no	—
674	C₄⋊C₄	—	3	1	no	—
675	C₄⋊C₄	—	3	1	no	—
676	C₄⋊C₄	—	3	1	no	—
677	C₄⋊C₄	—	3	1	no	—
678	C₄⋊C₄	—	3	1	no	—
679	C₄⋊C₄	—	3	1	no	—
680	C₄⋊C₄	—	3	1	no	—
681	C₄⋊C₄	—	3	1	no	—
682	C₄⋊C₄	—	3	1	no	—
683	C₄⋊C₄	—	3	1	no	—
684	C₄⋊C₄	—	3	1	no	—
685	C₄⋊C₄	—	3	1	no	—
686	C₄⋊C₄	—	3	1	no	—
687	C₄⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
703	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
704	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
705	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
706	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
707	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
708	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
709	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
710	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
711	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
712	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
713	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
714	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
715	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
716	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
717	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
718	C₂²⋊C₄	—	3	1	no	—
719	C₂²⋊C₄	—	3	1	no	—
720	C₂²⋊C₄	—	3	1	no	—
721	C₂²⋊C₄	—	3	1	no	—
722	C₂²⋊C₄	—	3	1	no	—
723	C₂²⋊C₄	—	3	1	no	—
724	C₂²⋊C₄	—	3	1	no	—
725	C₂²⋊C₄	—	3	1	no	—
726	C₂²⋊C₄	—	3	1	no	—
727	C₂²⋊C₄	—	3	1	no	—
728	C₂²⋊C₄	—	3	1	no	—
729	C₂²⋊C₄	—	3	1	no	—
730	C₂²⋊C₄	—	3	1	no	—
731	C₂²⋊C₄	—	3	1	no	—
732	C₂²⋊C₄	—	3	1	no	—
733	C₂²⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
745	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
746	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
747	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
748	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
749	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
750	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
751	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
752	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
753	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
754	C₄²	—	3	1	no	—
755	C₄²	—	3	1	no	—
756	C₄²	—	3	1	no	—
757	C₄²	—	3	1	no	—
758	C₄²	—	3	1	no	—
759	C₄²	—	3	1	no	—
760	C₄²	—	3	1	no	—
761	C₄²	—	3	1	no	—
762	C₄²	—	3	1	no	—
763	C₄²	—	3	1	no	—
764	C₄²	—	3	1	no	—
765	C₄²	—	3	1	no	—
766	C₄²	—	3	1	no	—
767	C₄²	C₂²×D₃	1	1	yes	characteristic
768	C₄²	C₂²×D₃	1	1	yes	characteristic
769	C₄²	C₂²×D₃	1	1	yes	characteristic
770	C₂²×C₃	—	2	1	no	—
771	C₂²×C₃	—	2	1	no	—
772	C₂²×C₃	—	2	1	no	—
773	C₂²×C₃	—	2	1	no	—
774	C₂²×C₃	—	2	1	no	—
775	C₂²×C₃	—	2	1	no	—
776	C₂²×C₃	C₂⁵	1	1	yes	characteristic
777	C₂×D₃	—	2	1	no	—
778	C₂×D₃	—	2	1	no	—
779	C₂×D₃	—	2	1	no	—
780	C₂×D₃	—	2	1	no	—
781	C₂×D₃	—	2	1	no	—
782	C₂×D₃	—	2	1	no	—
783	C₂×D₃	—	2	1	no	—
784	C₂×D₃	—	2	1	no	—
785	C₂×D₃	2₋¹⁺⁴	1	2	yes	—
786	C₃×C₄	—	2	1	no	—
787	C₃×C₄	—	2	1	no	—
788	C₃×C₄	—	2	1	no	—
789	C₃×C₄	—	2	1	no	—
790	C₃×C₄	—	2	1	no	—
791	C₃×C₄	—	2	1	no	—
792	C₃×C₄	—	2	1	no	—
793	C₃×C₄	—	2	1	no	—
794	C₃×C₄	—	2	1	no	—
795	C₃×C₄	—	2	1	no	—
796	C₃×C₄	—	2	1	no	—
797	C₃×C₄	—	2	1	no	—
798	C₃×C₄	—	2	1	no	—
799	Dic₃	—	2	1	no	—
800	Dic₃	—	2	1	no	—
801	Dic₃	—	2	1	no	—
802	Dic₃	—	2	1	no	—
803	Dic₃	—	2	1	no	—
804	Dic₃	—	2	1	no	—
805	Dic₃	—	2	1	no	—
806	Dic₃	—	2	1	no	—
807	Dic₃	—	2	1	no	—
808	Dic₃	—	2	1	no	—
809	Dic₃	—	2	1	no	—
810	Dic₃	H(5,𝔽₂)	1	2	yes	—
811	Dic₃	2₋¹⁺⁴	1	2	yes	—
812	C₂³	—	3	1	no	—
813	C₂³	—	3	1	no	—
814	C₂³	—	3	1	no	—
815	C₂³	C₂³×D₃	1	1	yes	characteristic
816	C₂³	C₂³×D₃	1	1	yes	characteristic
817	Q₈	—	4	1	no	—
818	Q₈	—	4	1	no	—
819	Q₈	—	4	1	no	—
820	Q₈	—	6	2	no	—
821	Q₈	—	6	2	no	—
822	Q₈	—	6	2	no	—
823	Q₈	—	6	2	no	—
824	Q₈	—	6	2	no	—
825	Q₈	—	6	2	no	—
826	Q₈	—	12	1	no	—
827	Q₈	—	12	1	no	—
828	Q₈	—	12	1	no	—
829	Q₈	—	12	1	no	—
830	Q₈	—	12	1	no	—
831	D₄	—	4	1	no	—
832	D₄	—	6	2	no	—
833	D₄	—	6	2	no	—
834	D₄	—	6	2	no	—
835	D₄	—	6	2	no	—
836	D₄	—	6	2	no	—
837	D₄	—	6	2	no	—
838	D₄	—	12	1	no	—
839	D₄	—	12	1	no	—
840	D₄	—	12	1	no	—
841	C₂×C₄	—	3	1	no	—
842	C₂×C₄	—	3	1	no	—
843	C₂×C₄	—	3	1	no	—
844	C₂×C₄	—	3	1	no	—
845	C₂×C₄	—	3	1	no	—
846	C₂×C₄	—	3	1	no	—
847	C₂×C₄	—	3	1	no	—
848	C₂×C₄	—	3	1	no	—
849	C₂×C₄	—	3	1	no	—
850	C₂×C₄	—	3	1	no	—
851	C₂×C₄	—	3	1	no	—
852	C₂×C₄	—	3	1	no	—
853	C₂×C₄	—	3	1	no	—
854	C₂×C₄	—	4	1	no	—
855	C₂×C₄	—	4	1	no	—
856	C₂×C₄	—	6	2	no	—
857	C₂×C₄	—	6	2	no	—
858	C₂×C₄	—	6	2	no	—
859	C₂×C₄	—	6	2	no	—
860	C₂×C₄	—	6	2	no	—
861	C₂×C₄	—	6	2	no	—
862	C₂×C₄	—	6	2	no	—
863	C₂×C₄	—	12	1	no	—
864	C₂×C₄	—	12	1	no	—
865	C₂×C₄	—	12	1	no	—
866	C₂×C₄	—	12	1	no	—
867	C₂×C₄	—	12	1	no	—
868	C₂×C₄	—	12	1	no	—
869	C₂×C₄	—	12	1	no	—
870	C₂×C₄	—	12	1	no	—
871	C₂×C₄	—	12	1	no	—
872	C₂×C₄	—	12	1	no	—
873	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
874	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
875	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
876	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
877	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
878	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
879	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
880	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
881	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
882	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
883	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
884	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
885	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
886	C₂×C₃	—	4	1	no	—
887	C₂×C₃	—	4	1	no	—
888	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
889	C₂×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
890	C₂×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
891	D₃	—	2	2	no	—
892	D₃	—	4	1	no	—
893	D₃	—	4	1	no	—
894	C₂²	—	2	1	no	—
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	3	2	no	—
901	C₂²	—	6	1	no	—
902	C₂²	—	6	1	no	—
903	C₂²	—	6	1	no	—
904	C₂²	—	6	1	no	—
905	C₂²	—	6	1	no	—
906	C₂²	—	6	1	no	—
907	C₂²	—	6	1	no	—
908	C₂²	—	6	1	no	—
909	C₂²	C₂⁴×D₃	1	1	yes	characteristic
910	C₄	—	2	1	no	—
911	C₄	—	2	1	no	—
912	C₄	—	2	1	no	—
913	C₄	—	2	1	no	—
914	C₄	—	2	1	no	—
915	C₄	—	2	1	no	—
916	C₄	—	2	1	no	—
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	3	2	no	—
924	C₄	—	3	2	no	—
925	C₄	—	6	1	no	—
926	C₄	—	6	1	no	—
927	C₄	—	6	1	no	—
928	C₄	—	6	1	no	—
929	C₄	—	6	1	no	—
930	C₄	—	6	1	no	—
931	C₄	—	6	1	no	—
932	C₄	—	6	1	no	—
933	C₄	—	6	1	no	—
934	C₄	—	6	1	no	—
935	C₄	—	6	1	no	—
936	C₃	#3552	1	1	yes	characteristic, complemented, Sylow
937	C₂	—	4	1	no	—
938	C₂	—	4	1	no	—
939	C₂	—	6	2	no	—
940	C₂	—	12	1	no	—
941	C₂	—	12	1	no	—
942	C₂	D₃×H(5,𝔽₂)	1	1	yes	characteristic
943	C₂	D₃×2₋¹⁺⁴	1	1	yes	characteristic
944	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×#563	C₂
hypercenter	#563	D₃
hypocenter	C₃	#3552
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #563

Complements

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

N	H ≅ G/N	type
1. C₃×#563	C₂	semidirect
2. #5735	C₂	semidirect
3. #5729	C₂	semidirect
4. #5727	C₂	semidirect
5. D₃×C₄⋊Q₈	C₂	semidirect
6. #5712	C₂	semidirect
7. #5712	C₂	semidirect
8. #5709	C₂	semidirect
9. #5707	C₂	semidirect
10. #5706	C₂	semidirect
11. #5706	C₂	semidirect
12. #5702	C₂	semidirect
13. #5701	C₂	semidirect
14. #5696	C₂	semidirect
15. #5692	C₂	semidirect
16. #5690	C₂	semidirect
17. #5685	C₂	semidirect
18. #5677	C₂	semidirect
19. #5669	C₂	semidirect
20. #5661	C₂	semidirect
21. #5660	C₂	semidirect
22. #5655	C₂	semidirect
23. #5648	C₂	semidirect
24. #5640	C₂	semidirect
25. #5638	C₂	semidirect
26. #5636	C₂	semidirect
27. #5633	C₂	semidirect
28. #5632	C₂	semidirect
29. #5632	C₂	semidirect
30. #5628	C₂	semidirect
31. #5623	C₂	semidirect
191. #563	D₃	semidirect
936. C₃	#3552	semidirect

Maximal subgroups

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

subgroup	index
C₃×#563	2
#5735	2
#5729	2
#5727	2
D₃×C₄⋊Q₈	2
#5712	2
#5709	2
#5707	2
#5706	2
#5702	2
#5701	2
#5696	2
#5692	2
#5690	2
#5685	2
#5677	2
#5669	2
#5661	2
#5660	2
#5655	2
#5648	2
#5640	2
#5638	2
#5636	2
#5633	2
#5632	2
#5628	2
#5623	2
#3552	3