Subgroups — #86689

Order 384.

1038 conjugacy classes of subgroups.

The subgroup lattice has 982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
2	#5829	C₂	1	1	yes	maximal, characteristic, complemented
3	#5828	C₂	1	1	yes	maximal, characteristic, complemented
4	#5825	C₂	1	1	yes	maximal, characteristic, complemented
5	#5824	C₂	1	1	yes	maximal, characteristic, complemented
6	#5735	C₂	1	1	yes	maximal, characteristic, complemented
7	#5729	C₂	1	1	yes	maximal, characteristic, complemented
8	#5667	C₂	1	1	yes	maximal, characteristic, complemented
9	#5662	C₂	1	1	yes	maximal, characteristic, complemented
10	#5660	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	D₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
14	#5650	C₂	1	1	yes	maximal, characteristic, complemented
15	#5648	C₂	1	1	yes	maximal, characteristic, complemented
16	#5646	C₂	1	1	yes	maximal, characteristic, complemented
17	#5640	C₂	1	1	yes	maximal, characteristic, complemented
18	#5636	C₂	1	1	yes	maximal, characteristic, complemented
19	#5634	C₂	1	1	yes	maximal, characteristic, complemented
20	#5621	C₂	1	1	yes	maximal, characteristic, complemented
21	#5613	C₂	1	1	yes	maximal, characteristic, complemented
22	#5610	C₂	1	1	yes	maximal, characteristic, complemented
23	#5602	C₂	1	1	yes	maximal, characteristic, complemented
24	#5564	C₂	1	1	yes	maximal, characteristic, complemented
25	#5564	C₂	1	1	yes	maximal, characteristic, complemented
26	#5556	C₂	1	1	yes	maximal, characteristic, complemented
27	#5556	C₂	1	1	yes	maximal, characteristic, complemented
28	#5515	C₂	1	1	yes	maximal, characteristic, complemented
29	#5513	C₂	1	1	yes	maximal, characteristic, complemented
30	#5511	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#896	C₂	1	1	yes	maximal, characteristic, complemented
32	#3535	—	3	1	no	maximal, Sylow
33	C₂×C₃×#41	C₂²	1	1	yes	characteristic
34	C₂×C₃×#41	C₂²	1	1	yes	characteristic, complemented
35	C₂×#237	C₂²	1	1	yes	characteristic
36	C₂×D₃×D₄	C₂²	1	1	yes	characteristic
37	C₂²×C₄×D₃	C₂²	1	1	yes	characteristic
38	C₂²×Dic₆	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₃×#123	C₂²	1	1	yes	characteristic
41	C₃×#123	C₂²	1	1	yes	characteristic, complemented
42	C₃×#123	C₂²	1	1	yes	characteristic, complemented
43	C₃×#123	C₂²	1	1	yes	characteristic, complemented
44	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₃×#121	C₂²	1	1	yes	characteristic
47	C₃×#121	C₂²	1	1	yes	characteristic, complemented
48	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
49	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
52	#947	C₂²	1	1	yes	characteristic
53	#946	C₂²	1	1	yes	characteristic
54	#946	C₂²	1	1	yes	characteristic
55	#946	C₂²	1	1	yes	characteristic, complemented
56	#946	C₂²	1	1	yes	characteristic, complemented
57	#944	C₂²	1	1	yes	characteristic, complemented
58	#944	C₂²	1	1	yes	characteristic, complemented
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
63	#939	C₂²	1	1	yes	characteristic, complemented
64	#938	C₂²	1	1	yes	characteristic
65	#938	C₂²	1	1	yes	characteristic, complemented
66	#937	C₂²	1	1	yes	characteristic
67	#937	C₂²	1	1	yes	characteristic
68	#937	C₂²	1	1	yes	characteristic
69	#937	C₂²	1	1	yes	characteristic
70	#936	C₂²	1	1	yes	characteristic, complemented
71	#936	C₂²	1	1	yes	characteristic, complemented
72	#935	C₂²	1	1	yes	characteristic
73	#935	C₂²	1	1	yes	characteristic
74	#935	C₂²	1	1	yes	characteristic, complemented
75	#935	C₂²	1	1	yes	characteristic, complemented
76	#935	C₂²	1	1	yes	characteristic, complemented
77	#935	C₂²	1	1	yes	characteristic, complemented
78	#935	C₂²	1	1	yes	characteristic, complemented
79	#935	C₂²	1	1	yes	characteristic, complemented
80	D₄×Dic₃	C₂²	1	1	yes	characteristic
81	D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
82	#930	C₂²	1	1	yes	characteristic
83	#929	C₂²	1	1	yes	characteristic
84	#929	C₂²	1	1	yes	characteristic
85	#929	C₂²	1	1	yes	characteristic
86	#929	C₂²	1	1	yes	characteristic, complemented
87	#929	C₂²	1	1	yes	characteristic, complemented
88	#929	C₂²	1	1	yes	characteristic, complemented
89	C₄×#67	C₂²	1	1	yes	characteristic
90	C₄×#67	C₂²	1	1	yes	characteristic
91	C₄×#67	C₂²	1	1	yes	characteristic
92	C₄×#67	C₂²	1	1	yes	characteristic
93	C₄×#67	C₂²	1	1	yes	characteristic
94	C₄×#67	C₂²	1	1	yes	characteristic, complemented
95	C₄×#67	C₂²	1	1	yes	characteristic, complemented
96	C₄×#67	C₂²	1	1	yes	characteristic, complemented
97	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
98	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
99	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
100	#926	C₂²	1	1	yes	characteristic, complemented
101	#926	C₂²	1	1	yes	characteristic, complemented
102	#924	C₂²	1	1	yes	characteristic, complemented
103	#924	C₂²	1	1	yes	characteristic, complemented
104	#924	C₂²	1	1	yes	characteristic, complemented
105	#924	C₂²	1	1	yes	characteristic, complemented
106	#924	C₂²	1	1	yes	characteristic, complemented
107	#924	C₂²	1	1	yes	characteristic, complemented
108	#924	C₂²	1	1	yes	characteristic, complemented
109	C₂×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
110	C₂×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
111	C₂×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	#898	C₂²	1	1	yes	characteristic, complemented
113	#898	C₂²	1	1	yes	characteristic, complemented
114	#898	C₂²	1	1	yes	characteristic, complemented
115	#898	C₂²	1	1	yes	characteristic, complemented
116	#898	C₂²	1	1	yes	characteristic, complemented
117	#897	C₂²	1	1	yes	characteristic
118	#897	C₂²	1	1	yes	characteristic, complemented
119	#896	C₂²	1	1	yes	characteristic
120	#896	C₂²	1	1	yes	characteristic
121	#896	C₂²	1	1	yes	characteristic
122	#896	C₂²	1	1	yes	characteristic
123	#896	C₂²	1	1	yes	characteristic
124	#896	C₂²	1	1	yes	characteristic
125	#896	C₂²	1	1	yes	characteristic, complemented
126	#896	C₂²	1	1	yes	characteristic, complemented
127	#896	C₂²	1	1	yes	characteristic, complemented
128	#896	C₂²	1	1	yes	characteristic, complemented
129	#896	C₂²	1	1	yes	characteristic, complemented
130	#896	C₂²	1	1	yes	characteristic, complemented
131	#896	C₂²	1	1	yes	characteristic, complemented
132	#894	C₂²	1	1	yes	characteristic
133	#894	C₂²	1	1	yes	characteristic
134	#894	C₂²	1	1	yes	characteristic
135	#892	C₂²	1	1	yes	characteristic
136	#892	C₂²	1	1	yes	characteristic, complemented
137	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
138	D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
139	#890	C₂²	1	1	yes	characteristic, complemented
140	#890	C₂²	1	1	yes	characteristic, complemented
141	#889	C₂²	1	1	yes	characteristic, complemented
142	#889	C₂²	1	1	yes	characteristic, complemented
143	#889	C₂²	1	1	yes	characteristic, complemented
144	#889	C₂²	1	1	yes	characteristic, complemented
145	#889	C₂²	1	1	yes	characteristic, complemented
146	#889	C₂²	1	1	yes	characteristic, complemented
147	#889	C₂²	1	1	yes	characteristic, complemented
148	#888	C₂²	1	1	yes	characteristic, complemented
149	#888	C₂²	1	1	yes	characteristic, complemented
150	#887	C₂²	1	1	yes	characteristic, complemented
151	#887	C₂²	1	1	yes	characteristic, complemented
152	#886	C₂²	1	1	yes	characteristic
153	#886	C₂²	1	1	yes	characteristic, complemented
154	#885	C₂²	1	1	yes	characteristic
155	#885	C₂²	1	1	yes	characteristic, complemented
156	#885	C₂²	1	1	yes	characteristic, complemented
157	#885	C₂²	1	1	yes	characteristic, complemented
158	#885	C₂²	1	1	yes	characteristic, complemented
159	#884	C₂²	1	1	yes	characteristic
160	#883	C₂²	1	1	yes	characteristic
161	#883	C₂²	1	1	yes	characteristic
162	#883	C₂²	1	1	yes	characteristic
163	#883	C₂²	1	1	yes	characteristic
164	#883	C₂²	1	1	yes	characteristic, complemented
165	#67⋊C₄	C₂²	1	1	yes	characteristic
166	#67⋊C₄	C₂²	1	1	yes	characteristic
167	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	#879	C₂²	1	1	yes	characteristic, complemented
172	#879	C₂²	1	1	yes	characteristic, complemented
173	#879	C₂²	1	1	yes	characteristic, complemented
174	#879	C₂²	1	1	yes	characteristic, complemented
175	#879	C₂²	1	1	yes	characteristic, complemented
176	#878	C₂²	1	1	yes	characteristic, complemented
177	#878	C₂²	1	1	yes	characteristic, complemented
178	#878	C₂²	1	1	yes	characteristic, complemented
179	#878	C₂²	1	1	yes	characteristic, complemented
180	#878	C₂²	1	1	yes	characteristic, complemented
181	#878	C₂²	1	1	yes	characteristic, complemented
182	#877	C₂²	1	1	yes	characteristic, complemented
183	#877	C₂²	1	1	yes	characteristic, complemented
184	#876	C₂²	1	1	yes	characteristic, complemented
185	#876	C₂²	1	1	yes	characteristic, complemented
186	#872	C₂²	1	1	yes	characteristic
187	#870	C₂²	1	1	yes	characteristic, complemented
188	#563	—	3	1	no	—
189	#563	—	3	1	no	—
190	#562	—	3	1	no	—
191	#562	—	3	1	no	—
192	#554	—	3	1	no	—
193	#554	—	3	1	no	—
194	#552	—	3	1	no	—
195	#552	—	3	1	no	—
196	#551	—	3	1	no	—
197	#551	—	3	1	no	—
198	#551	—	3	1	no	—
199	#551	—	3	1	no	—
200	#547	—	3	1	no	—
201	#547	D₃	1	1	yes	characteristic, complemented
202	#546	—	3	1	no	—
203	#546	—	3	1	no	—
204	#544	—	3	1	no	—
205	#543	—	3	1	no	—
206	#542	—	3	1	no	—
207	#542	—	3	1	no	—
208	#539	—	3	1	no	—
209	#539	—	3	1	no	—
210	#539	—	3	1	no	—
211	#539	—	3	1	no	—
212	#539	—	3	1	no	—
213	#538	—	3	1	no	—
214	#536	—	3	1	no	—
215	#536	—	3	1	no	—
216	#525	—	3	1	no	—
217	C₂×#123	—	3	1	no	—
218	C₂×C₂²⋊Q₈	—	3	1	no	—
219	C₂³×D₃	C₂³	1	1	yes	characteristic
220	C₂³×D₃	C₂³	1	1	yes	characteristic
221	C₃×#41	—	4	2	no	—
222	C₃×#41	—	4	2	no	—
223	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
229	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
230	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
231	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
232	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
233	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
234	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
235	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
236	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
238	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
239	C₂×#67	C₂³	1	1	yes	characteristic
240	C₂×#67	C₂³	1	1	yes	characteristic
241	C₂×#67	C₂³	1	1	yes	characteristic
242	C₂×#67	C₂³	1	1	yes	characteristic
243	C₂×#67	C₂³	1	1	yes	characteristic
244	C₂×#67	C₂³	1	1	yes	characteristic
245	C₂×#67	C₂³	1	1	yes	characteristic
246	C₂×#67	C₂³	1	1	yes	characteristic
247	C₂²×Dic₃	C₂³	1	1	yes	characteristic
248	C₂²×Dic₃	C₂³	1	1	yes	characteristic
249	C₂²×Dic₃	C₂³	1	1	yes	characteristic
250	C₂²×Dic₃	C₂³	1	1	yes	characteristic
251	C₂²×Dic₃	C₂³	1	1	yes	characteristic
252	C₂²×Dic₃	C₂³	1	1	yes	characteristic
253	#237	—	4	2	no	—
254	D₃×D₄	—	4	2	no	—
255	C₂×D₁₂	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₃	—	4	2	no	—
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×Dic₆	—	4	2	no	—
267	C₂×Dic₆	C₂³	1	1	yes	characteristic
268	C₂×Dic₆	C₂³	1	1	yes	characteristic
269	C₂×Dic₆	C₂³	1	1	yes	characteristic
270	C₂×Dic₆	C₂³	1	1	yes	characteristic
271	C₂×Dic₆	C₂³	1	1	yes	characteristic
272	C₂×Dic₆	C₂³	1	1	yes	characteristic
273	C₂×Dic₆	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×C₄²	C₂³	1	1	yes	characteristic
293	#217	C₂³	1	1	yes	characteristic
294	#217	C₂³	1	1	yes	characteristic
295	#217	C₂³	1	1	yes	characteristic
296	#217	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	#217	C₂³	1	1	yes	characteristic
304	#217	C₂³	1	1	yes	characteristic
305	#217	C₂³	1	1	yes	characteristic
306	#217	C₂³	1	1	yes	characteristic
307	#217	C₂³	1	1	yes	characteristic
308	#217	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	(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	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	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
336	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
337	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
338	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
339	C₄⋊Dic₃	C₂³	1	1	yes	characteristic
340	C₄⋊Dic₃	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	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	C₂×#41	—	3	1	no	—
381	C₂×#41	C₂×D₃	1	1	yes	characteristic
382	C₂×#41	C₂×D₃	1	1	yes	characteristic, complemented
383	C₂²×Q₈	—	3	1	no	—
384	C₂²×D₄	—	3	1	no	—
385	C₂³×C₄	—	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	C₂×D₃	1	1	yes	characteristic, complemented
392	#126	—	3	1	no	—
393	#126	—	3	1	no	—
394	#126	—	3	1	no	—
395	#126	—	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	#125	—	3	1	no	—
405	#125	—	3	1	no	—
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	—	3	1	no	—
412	#125	—	3	1	no	—
413	#125	—	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	#124	—	3	1	no	—
421	#124	—	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	—	3	1	no	—
435	#123	—	3	1	no	—
436	#123	—	3	1	no	—
437	#123	—	3	1	no	—
438	#123	—	3	1	no	—
439	#123	—	3	1	no	—
440	#123	—	3	1	no	—
441	#123	—	3	1	no	—
442	#123	—	3	1	no	—
443	#123	—	3	1	no	—
444	#123	—	3	1	no	—
445	#123	—	3	1	no	—
446	#123	C₂×D₃	1	1	yes	characteristic
447	#123	C₂×D₃	1	1	yes	characteristic, complemented
448	#123	C₂×D₃	1	1	yes	characteristic, complemented
449	#123	C₂×D₃	1	1	yes	characteristic, complemented
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	—	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	C₂×D₃	1	1	yes	characteristic, complemented
483	C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
484	#121	—	3	1	no	—
485	#121	—	3	1	no	—
486	#121	—	3	1	no	—
487	#121	—	3	1	no	—
488	#121	—	3	1	no	—
489	#121	—	3	1	no	—
490	#121	—	3	1	no	—
491	#121	—	3	1	no	—
492	#121	C₂×D₃	1	1	yes	characteristic
493	#121	C₂×D₃	1	1	yes	characteristic, complemented
494	#120	—	3	1	no	—
495	#120	—	3	1	no	—
496	#120	—	3	1	no	—
497	#120	—	3	1	no	—
498	C₄×Q₈	—	3	1	no	—
499	C₄×Q₈	—	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	—	3	1	no	—
511	C₄×D₄	—	3	1	no	—
512	C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
513	C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
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	C₂×C₄⋊C₄	—	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	C₂×D₃	1	1	yes	characteristic, complemented
527	C₂×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
528	C₂×C₂²⋊C₄	—	3	1	no	—
529	C₂×C₂²⋊C₄	—	3	1	no	—
530	C₂×C₂²⋊C₄	—	3	1	no	—
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	C₂³×C₃	C₂⁴	1	1	yes	characteristic
536	C₂³×C₃	C₂⁴	1	1	yes	characteristic
537	C₂³×C₃	C₂⁴	1	1	yes	characteristic
538	C₂³×C₃	C₂⁴	1	1	yes	characteristic
539	C₂²×D₃	—	2	2	no	—
540	C₂²×D₃	—	2	2	no	—
541	C₂²×D₃	—	2	2	no	—
542	C₂²×D₃	—	4	1	no	—
543	C₂²×D₃	—	4	1	no	—
544	C₂²×D₃	—	4	1	no	—
545	C₂²×D₃	C₂⁴	1	1	yes	characteristic
546	C₂²×D₃	C₂⁴	1	1	yes	characteristic
547	C₂²×D₃	C₂⁴	1	1	yes	characteristic
548	C₃×Q₈	—	4	1	no	—
549	C₃×Q₈	—	4	1	no	—
550	C₃×D₄	—	2	2	no	—
551	C₃×D₄	—	2	2	no	—
552	C₃×D₄	—	2	2	no	—
553	C₃×D₄	—	4	1	no	—
554	C₃×D₄	—	4	1	no	—
555	C₃×D₄	—	4	1	no	—
556	C₂×C₃×C₄	—	2	2	no	—
557	C₂×C₃×C₄	—	2	2	no	—
558	C₂×C₃×C₄	—	4	1	no	—
559	C₂×C₃×C₄	—	4	1	no	—
560	C₂×C₃×C₄	—	4	1	no	—
561	C₂×C₃×C₄	—	4	1	no	—
562	C₂×C₃×C₄	—	4	1	no	—
563	C₂×C₃×C₄	—	4	1	no	—
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	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
573	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
574	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
575	#67	—	2	2	no	—
576	#67	—	2	2	no	—
577	#67	—	2	2	no	—
578	#67	—	4	1	no	—
579	#67	—	4	1	no	—
580	#67	—	4	1	no	—
581	#67	—	4	1	no	—
582	#67	—	4	1	no	—
583	C₂×Dic₃	—	2	2	no	—
584	C₂×Dic₃	—	2	2	no	—
585	C₂×Dic₃	—	4	1	no	—
586	C₂×Dic₃	—	4	1	no	—
587	C₂×Dic₃	—	4	1	no	—
588	C₂×Dic₃	—	4	1	no	—
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	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
602	D₁₂	—	4	1	no	—
603	C₄×D₃	—	2	2	no	—
604	C₄×D₃	—	4	1	no	—
605	C₄×D₃	—	4	1	no	—
606	C₄×D₃	—	4	1	no	—
607	C₄×D₃	—	4	1	no	—
608	C₄×D₃	—	4	1	no	—
609	C₄×D₃	—	4	1	no	—
610	C₄×D₃	—	4	1	no	—
611	C₄×D₃	—	4	1	no	—
612	Dic₆	—	4	1	no	—
613	Dic₆	—	4	1	no	—
614	Dic₆	—	4	1	no	—
615	Dic₆	—	4	1	no	—
616	Dic₆	—	4	1	no	—
617	Dic₆	—	4	1	no	—
618	Dic₆	—	4	1	no	—
619	C₂⁴	—	3	1	no	—
620	C₂⁴	—	3	1	no	—
621	#41	—	4	2	no	—
622	#41	—	4	2	no	—
623	#41	—	12	2	no	—
624	C₂×Q₈	—	3	1	no	—
625	C₂×Q₈	—	3	1	no	—
626	C₂×Q₈	—	3	1	no	—
627	C₂×Q₈	—	3	1	no	—
628	C₂×Q₈	—	3	1	no	—
629	C₂×Q₈	—	3	1	no	—
630	C₂×Q₈	—	3	1	no	—
631	C₂×Q₈	—	12	2	no	—
632	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic
633	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
639	C₂×D₄	—	3	1	no	—
640	C₂×D₄	—	3	1	no	—
641	C₂×D₄	—	3	1	no	—
642	C₂×D₄	—	3	1	no	—
643	C₂×D₄	—	12	2	no	—
644	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
645	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
646	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
647	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
648	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
649	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
657	C₂²×C₄	—	3	1	no	—
658	C₂²×C₄	—	3	1	no	—
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	—	12	2	no	—
666	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
667	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
668	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
669	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
670	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
671	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
672	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
673	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
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	—	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	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	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
719	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
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	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	—	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	C₂²×D₃	1	1	yes	characteristic
763	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
764	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
765	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
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	C₄²	—	3	1	no	—
771	C₄²	—	3	1	no	—
772	C₄²	—	3	1	no	—
773	C₄²	—	3	1	no	—
774	C₄²	—	3	1	no	—
775	C₄²	—	3	1	no	—
776	C₄²	—	3	1	no	—
777	C₄²	—	3	1	no	—
778	C₄²	—	3	1	no	—
779	C₄²	C₂²×D₃	1	1	yes	characteristic
780	C₂²×C₃	—	2	1	no	—
781	C₂²×C₃	—	2	1	no	—
782	C₂²×C₃	—	2	1	no	—
783	C₂²×C₃	—	2	1	no	—
784	C₂²×C₃	—	2	1	no	—
785	C₂²×C₃	—	2	1	no	—
786	C₂²×C₃	—	2	1	no	—
787	C₂²×C₃	—	2	1	no	—
788	C₂²×C₃	—	2	1	no	—
789	C₂²×C₃	—	2	1	no	—
790	C₂²×C₃	—	2	1	no	—
791	C₂²×C₃	H(5,𝔽₂)	1	2	yes	—
792	C₂²×C₃	C₂⁵	1	1	yes	characteristic
793	C₂×D₃	—	2	1	no	—
794	C₂×D₃	—	2	1	no	—
795	C₂×D₃	—	2	1	no	—
796	C₂×D₃	—	2	1	no	—
797	C₂×D₃	—	2	1	no	—
798	C₂×D₃	—	2	1	no	—
799	C₂×D₃	—	2	1	no	—
800	C₂×D₃	—	2	1	no	—
801	C₂×D₃	—	4	4	no	—
802	C₂×D₃	—	8	2	no	—
803	C₂×D₃	2₋¹⁺⁴	1	2	yes	—
804	C₃×C₄	—	2	1	no	—
805	C₃×C₄	—	2	1	no	—
806	C₃×C₄	—	2	1	no	—
807	C₃×C₄	—	2	1	no	—
808	C₃×C₄	—	2	1	no	—
809	C₃×C₄	—	2	1	no	—
810	C₃×C₄	—	2	1	no	—
811	C₃×C₄	—	2	1	no	—
812	C₃×C₄	—	2	1	no	—
813	C₃×C₄	—	2	1	no	—
814	C₃×C₄	—	2	1	no	—
815	Dic₃	—	2	1	no	—
816	Dic₃	—	2	1	no	—
817	Dic₃	—	2	1	no	—
818	Dic₃	—	2	1	no	—
819	Dic₃	—	2	1	no	—
820	Dic₃	—	2	1	no	—
821	Dic₃	—	2	1	no	—
822	Dic₃	—	2	1	no	—
823	Dic₃	—	2	1	no	—
824	Dic₃	—	2	1	no	—
825	Dic₃	—	2	1	no	—
826	Dic₃	—	2	1	no	—
827	Dic₃	—	2	1	no	—
828	C₂³	—	3	1	no	—
829	C₂³	—	3	1	no	—
830	C₂³	—	3	1	no	—
831	C₂³	—	6	2	no	—
832	C₂³	—	6	2	no	—
833	C₂³	—	6	2	no	—
834	C₂³	—	12	1	no	—
835	C₂³	—	12	1	no	—
836	C₂³	—	12	1	no	—
837	C₂³	C₂³×D₃	1	1	yes	characteristic
838	C₂³	C₂³×D₃	1	1	yes	characteristic
839	C₂³	C₂³×D₃	1	1	yes	characteristic
840	C₂³	C₂³×D₃	1	1	yes	characteristic
841	Q₈	—	4	1	no	—
842	Q₈	—	4	1	no	—
843	Q₈	—	12	1	no	—
844	Q₈	—	12	1	no	—
845	Q₈	—	12	1	no	—
846	Q₈	—	12	1	no	—
847	Q₈	—	12	1	no	—
848	Q₈	—	12	1	no	—
849	Q₈	—	12	1	no	—
850	D₄	—	2	2	no	—
851	D₄	—	2	2	no	—
852	D₄	—	2	2	no	—
853	D₄	—	4	1	no	—
854	D₄	—	4	1	no	—
855	D₄	—	4	1	no	—
856	D₄	—	6	2	no	—
857	D₄	—	6	2	no	—
858	D₄	—	6	2	no	—
859	D₄	—	12	1	no	—
860	D₄	—	12	1	no	—
861	D₄	—	12	1	no	—
862	D₄	—	12	1	no	—
863	D₄	—	12	1	no	—
864	D₄	—	12	1	no	—
865	C₂×C₄	—	2	2	no	—
866	C₂×C₄	—	2	2	no	—
867	C₂×C₄	—	3	1	no	—
868	C₂×C₄	—	3	1	no	—
869	C₂×C₄	—	3	1	no	—
870	C₂×C₄	—	3	1	no	—
871	C₂×C₄	—	3	1	no	—
872	C₂×C₄	—	3	1	no	—
873	C₂×C₄	—	3	1	no	—
874	C₂×C₄	—	3	1	no	—
875	C₂×C₄	—	3	1	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	—	4	1	no	—
881	C₂×C₄	—	4	1	no	—
882	C₂×C₄	—	4	1	no	—
883	C₂×C₄	—	4	1	no	—
884	C₂×C₄	—	4	1	no	—
885	C₂×C₄	—	4	1	no	—
886	C₂×C₄	—	6	2	no	—
887	C₂×C₄	—	6	2	no	—
888	C₂×C₄	—	6	2	no	—
889	C₂×C₄	—	12	1	no	—
890	C₂×C₄	—	12	1	no	—
891	C₂×C₄	—	12	1	no	—
892	C₂×C₄	—	12	1	no	—
893	C₂×C₄	—	12	1	no	—
894	C₂×C₄	—	12	1	no	—
895	C₂×C₄	—	12	1	no	—
896	C₂×C₄	—	12	1	no	—
897	C₂×C₄	—	12	1	no	—
898	C₂×C₄	—	12	1	no	—
899	C₂×C₄	—	12	1	no	—
900	C₂×C₄	—	12	1	no	—
901	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
902	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
903	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
904	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
905	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
906	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
907	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
908	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
909	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
910	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
911	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
912	C₂×C₃	—	2	2	no	—
913	C₂×C₃	—	4	1	no	—
914	C₂×C₃	—	4	1	no	—
915	C₂×C₃	—	4	1	no	—
916	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
917	C₂×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
918	C₂×C₃	#585	1	1	yes	characteristic
919	D₃	—	2	2	no	—
920	D₃	—	4	1	no	—
921	D₃	—	4	1	no	—
922	C₂²	—	2	1	no	—
923	C₂²	—	2	1	no	—
924	C₂²	—	2	1	no	—
925	C₂²	—	2	1	no	—
926	C₂²	—	2	1	no	—
927	C₂²	—	2	1	no	—
928	C₂²	—	2	1	no	—
929	C₂²	—	2	1	no	—
930	C₂²	—	2	1	no	—
931	C₂²	—	2	1	no	—
932	C₂²	—	2	1	no	—
933	C₂²	—	3	2	no	—
934	C₂²	—	6	1	no	—
935	C₂²	—	6	1	no	—
936	C₂²	—	6	1	no	—
937	C₂²	—	6	1	no	—
938	C₂²	—	6	1	no	—
939	C₂²	—	6	1	no	—
940	C₂²	—	6	1	no	—
941	C₂²	—	6	1	no	—
942	C₂²	—	12	4	no	—
943	C₂²	—	24	2	no	—
944	C₂²	#1004	1	2	yes	—
945	C₂²	C₂⁴×D₃	1	1	yes	characteristic
946	C₄	—	2	1	no	—
947	C₄	—	2	1	no	—
948	C₄	—	2	1	no	—
949	C₄	—	2	1	no	—
950	C₄	—	2	1	no	—
951	C₄	—	2	1	no	—
952	C₄	—	2	1	no	—
953	C₄	—	2	1	no	—
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	2	1	no	—
957	C₄	—	6	1	no	—
958	C₄	—	6	1	no	—
959	C₄	—	6	1	no	—
960	C₄	—	6	1	no	—
961	C₄	—	6	1	no	—
962	C₄	—	6	1	no	—
963	C₄	—	6	1	no	—
964	C₄	—	6	1	no	—
965	C₄	—	6	1	no	—
966	C₄	—	6	1	no	—
967	C₄	—	6	1	no	—
968	C₄	—	6	1	no	—
969	C₄	—	6	1	no	—
970	C₃	#3535	1	1	yes	characteristic, complemented, Sylow
971	C₂	—	2	2	no	—
972	C₂	—	4	1	no	—
973	C₂	—	4	1	no	—
974	C₂	—	4	1	no	—
975	C₂	—	6	2	no	—
976	C₂	—	12	1	no	—
977	C₂	—	12	1	no	—
978	C₂	C₂×#1004	1	1	yes	characteristic
979	C₂	#5964	1	1	yes	characteristic
980	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×#547	C₂
hypercenter	#547	D₃
hypocenter	C₃	#3535
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #547

Complements

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

N	H ≅ G/N	type
1. C₃×#547	C₂	semidirect
2. #5829	C₂	semidirect
3. #5828	C₂	semidirect
4. #5825	C₂	semidirect
5. #5824	C₂	semidirect
6. #5735	C₂	semidirect
7. #5729	C₂	semidirect
8. #5667	C₂	semidirect
9. #5662	C₂	semidirect
10. #5660	C₂	semidirect
11. #5659	C₂	semidirect
12. #5658	C₂	semidirect
13. D₃×#123	C₂	semidirect
14. #5650	C₂	semidirect
15. #5648	C₂	semidirect
16. #5646	C₂	semidirect
17. #5640	C₂	semidirect
18. #5636	C₂	semidirect
19. #5634	C₂	semidirect
20. #5621	C₂	semidirect
21. #5613	C₂	semidirect
22. #5610	C₂	semidirect
23. #5602	C₂	semidirect
24. #5564	C₂	semidirect
25. #5564	C₂	semidirect
26. #5556	C₂	semidirect
27. #5556	C₂	semidirect
28. #5515	C₂	semidirect
29. #5513	C₂	semidirect
30. #5511	C₂	semidirect
31. C₂×#896	C₂	semidirect
34. C₂×C₃×#41	C₂²	semidirect
38. C₂²×Dic₆	C₂²	semidirect
39. C₃×C₄⋊Q₈	C₂²	semidirect
41. C₃×#123	C₂²	semidirect
42. C₃×#123	C₂²	semidirect
43. C₃×#123	C₂²	semidirect
44. C₃×C₂²⋊Q₈	C₂²	semidirect
45. C₃×C₂²⋊Q₈	C₂²	semidirect
47. C₃×#121	C₂²	semidirect
48. C₃×C₄×D₄	C₂²	semidirect
49. C₃×C₄×D₄	C₂²	semidirect
50. C₂×C₃×C₄⋊C₄	C₂²	semidirect
51. C₂×C₃×C₄⋊C₄	C₂²	semidirect
55. #946	C₂²	semidirect
56. #946	C₂²	semidirect
57. #944	C₂²	semidirect
58. #944	C₂²	semidirect
59. #944	C₂²	semidirect
63. #939	C₂²	semidirect
65. #938	C₂²	semidirect
70. #936	C₂²	semidirect
71. #936	C₂²	semidirect
74. #935	C₂²	semidirect
75. #935	C₂²	semidirect
76. #935	C₂²	semidirect
77. #935	C₂²	semidirect
78. #935	C₂²	semidirect
79. #935	C₂²	semidirect
81. D₄×Dic₃	C₂²	semidirect
86. #929	C₂²	semidirect
87. #929	C₂²	semidirect
88. #929	C₂²	semidirect
94. C₄×#67	C₂²	semidirect
95. C₄×#67	C₂²	semidirect
96. C₄×#67	C₂²	semidirect
100. #926	C₂²	semidirect
101. #926	C₂²	semidirect
102. #924	C₂²	semidirect
103. #924	C₂²	semidirect
104. #924	C₂²	semidirect
105. #924	C₂²	semidirect
106. #924	C₂²	semidirect
107. #924	C₂²	semidirect
108. #924	C₂²	semidirect
109. C₂×Dic₃⋊C₄	C₂²	semidirect
110. C₂×Dic₃⋊C₄	C₂²	semidirect
111. C₂×Dic₃⋊C₄	C₂²	semidirect
112. #898	C₂²	semidirect
113. #898	C₂²	semidirect
114. #898	C₂²	semidirect
115. #898	C₂²	semidirect
116. #898	C₂²	semidirect
118. #897	C₂²	semidirect
125. #896	C₂²	semidirect
126. #896	C₂²	semidirect
127. #896	C₂²	semidirect
128. #896	C₂²	semidirect
129. #896	C₂²	semidirect
130. #896	C₂²	semidirect
131. #896	C₂²	semidirect
136. #892	C₂²	semidirect
139. #890	C₂²	semidirect
140. #890	C₂²	semidirect
141. #889	C₂²	semidirect
142. #889	C₂²	semidirect
143. #889	C₂²	semidirect
144. #889	C₂²	semidirect
145. #889	C₂²	semidirect
146. #889	C₂²	semidirect
147. #889	C₂²	semidirect
148. #888	C₂²	semidirect
149. #888	C₂²	semidirect
150. #887	C₂²	semidirect
151. #887	C₂²	semidirect
153. #886	C₂²	semidirect
155. #885	C₂²	semidirect
156. #885	C₂²	semidirect
157. #885	C₂²	semidirect
158. #885	C₂²	semidirect
164. #883	C₂²	semidirect
171. #879	C₂²	semidirect
172. #879	C₂²	semidirect
173. #879	C₂²	semidirect
174. #879	C₂²	semidirect
175. #879	C₂²	semidirect
176. #878	C₂²	semidirect
177. #878	C₂²	semidirect
178. #878	C₂²	semidirect
179. #878	C₂²	semidirect
180. #878	C₂²	semidirect
181. #878	C₂²	semidirect
182. #877	C₂²	semidirect
183. #877	C₂²	semidirect
184. #876	C₂²	semidirect
185. #876	C₂²	semidirect
187. #870	C₂²	semidirect
201. #547	D₃	semidirect
382. C₂×#41	C₂×D₃	semidirect
391. C₄⋊Q₈	C₂×D₃	semidirect
447. #123	C₂×D₃	semidirect
448. #123	C₂×D₃	semidirect
449. #123	C₂×D₃	semidirect
482. C₂²⋊Q₈	C₂×D₃	semidirect
483. C₂²⋊Q₈	C₂×D₃	semidirect
493. #121	C₂×D₃	semidirect
512. C₄×D₄	C₂×D₃	semidirect
513. C₄×D₄	C₂×D₃	semidirect
526. C₂×C₄⋊C₄	C₂×D₃	semidirect
527. C₂×C₄⋊C₄	C₂×D₃	semidirect
970. C₃	#3535	semidirect

Maximal subgroups

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

subgroup	index
C₃×#547	2
#5829	2
#5828	2
#5825	2
#5824	2
#5735	2
#5729	2
#5667	2
#5662	2
#5660	2
#5659	2
#5658	2
D₃×#123	2
#5650	2
#5648	2
#5646	2
#5640	2
#5636	2
#5634	2
#5621	2
#5613	2
#5610	2
#5602	2
#5564	2
#5556	2
#5515	2
#5513	2
#5511	2
C₂×#896	2
#3535	3