Subgroups — #86664

Order 384.

1328 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#546	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	#5806	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#937	C₂	1	1	yes	maximal, characteristic, complemented
6	#5679	C₂	1	1	yes	maximal, characteristic, complemented
7	#5678	C₂	1	1	yes	maximal, characteristic, complemented
8	#5659	C₂	1	1	yes	maximal, characteristic, complemented
9	#5658	C₂	1	1	yes	maximal, characteristic, complemented
10	#5657	C₂	1	1	yes	maximal, characteristic, complemented
11	#5656	C₂	1	1	yes	maximal, characteristic, complemented
12	#5637	C₂	1	1	yes	maximal, characteristic, complemented
13	#5634	C₂	1	1	yes	maximal, characteristic, complemented
14	#5613	C₂	1	1	yes	maximal, characteristic, complemented
15	#5613	C₂	1	1	yes	maximal, characteristic, complemented
16	#5612	C₂	1	1	yes	maximal, characteristic, complemented
17	#5610	C₂	1	1	yes	maximal, characteristic, complemented
18	#5610	C₂	1	1	yes	maximal, characteristic, complemented
19	#5606	C₂	1	1	yes	maximal, characteristic, complemented
20	#5591	C₂	1	1	yes	maximal, characteristic, complemented
21	#5589	C₂	1	1	yes	maximal, characteristic, complemented
22	D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
23	#5587	C₂	1	1	yes	maximal, characteristic, complemented
24	#5556	C₂	1	1	yes	maximal, characteristic, complemented
25	#5556	C₂	1	1	yes	maximal, characteristic, complemented
26	#5547	C₂	1	1	yes	maximal, characteristic, complemented
27	#5545	C₂	1	1	yes	maximal, characteristic, complemented
28	#5495	C₂	1	1	yes	maximal, characteristic, complemented
29	#5490	C₂	1	1	yes	maximal, characteristic, complemented
30	#5486	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×D₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	#3490	—	3	1	no	maximal, Sylow
33	C₂⁴×D₃	C₂²	1	1	yes	characteristic
34	C₂×C₃×#41	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₃×D₄	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#67	C₂²	1	1	yes	characteristic
37	C₂²×#67	C₂²	1	1	yes	characteristic, complemented
38	C₂×#237	C₂²	1	1	yes	characteristic, complemented
39	C₂×#237	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₃×D₄	C₂²	1	1	yes	characteristic
41	C₂×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×#235	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
46	C₃×#124	C₂²	1	1	yes	characteristic, complemented
47	C₃×#123	C₂²	1	1	yes	characteristic, complemented
48	C₃×#123	C₂²	1	1	yes	characteristic, complemented
49	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃×#121	C₂²	1	1	yes	characteristic, complemented
51	C₃×#121	C₂²	1	1	yes	characteristic, complemented
52	C₃×#121	C₂²	1	1	yes	characteristic, complemented
53	C₃×#120	C₂²	1	1	yes	characteristic
54	C₃×#120	C₂²	1	1	yes	characteristic, complemented
55	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	#953	C₂²	1	1	yes	characteristic
60	#953	C₂²	1	1	yes	characteristic, complemented
61	C₂×#217	C₂²	1	1	yes	characteristic, complemented
62	C₂×#217	C₂²	1	1	yes	characteristic, complemented
63	C₂×#217	C₂²	1	1	yes	characteristic, complemented
64	#947	C₂²	1	1	yes	characteristic, complemented
65	#946	C₂²	1	1	yes	characteristic, complemented
66	#946	C₂²	1	1	yes	characteristic, complemented
67	#946	C₂²	1	1	yes	characteristic, complemented
68	#939	C₂²	1	1	yes	characteristic, complemented
69	#939	C₂²	1	1	yes	characteristic, complemented
70	#939	C₂²	1	1	yes	characteristic, complemented
71	#939	C₂²	1	1	yes	characteristic, complemented
72	#938	C₂²	1	1	yes	characteristic, complemented
73	#938	C₂²	1	1	yes	characteristic, complemented
74	#938	C₂²	1	1	yes	characteristic, complemented
75	#938	C₂²	1	1	yes	characteristic, complemented
76	#937	C₂²	1	1	yes	characteristic
77	#937	C₂²	1	1	yes	characteristic
78	#937	C₂²	1	1	yes	characteristic
79	#937	C₂²	1	1	yes	characteristic
80	#937	C₂²	1	1	yes	characteristic
81	#937	C₂²	1	1	yes	characteristic, complemented
82	#937	C₂²	1	1	yes	characteristic, complemented
83	#937	C₂²	1	1	yes	characteristic, complemented
84	#937	C₂²	1	1	yes	characteristic, complemented
85	#937	C₂²	1	1	yes	characteristic, complemented
86	#937	C₂²	1	1	yes	characteristic, complemented
87	#937	C₂²	1	1	yes	characteristic, complemented
88	#937	C₂²	1	1	yes	characteristic, complemented
89	#936	C₂²	1	1	yes	characteristic, complemented
90	#936	C₂²	1	1	yes	characteristic, complemented
91	#935	C₂²	1	1	yes	characteristic, complemented
92	#935	C₂²	1	1	yes	characteristic, complemented
93	#935	C₂²	1	1	yes	characteristic, complemented
94	#935	C₂²	1	1	yes	characteristic, complemented
95	#935	C₂²	1	1	yes	characteristic, complemented
96	D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
97	D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
98	D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
99	#930	C₂²	1	1	yes	characteristic, complemented
100	#929	C₂²	1	1	yes	characteristic, complemented
101	#929	C₂²	1	1	yes	characteristic, complemented
102	#929	C₂²	1	1	yes	characteristic, complemented
103	C₄×#67	C₂²	1	1	yes	characteristic, complemented
104	C₄×#67	C₂²	1	1	yes	characteristic, complemented
105	C₄×#67	C₂²	1	1	yes	characteristic, complemented
106	C₄×#67	C₂²	1	1	yes	characteristic, complemented
107	C₄×#67	C₂²	1	1	yes	characteristic, complemented
108	C₄×#67	C₂²	1	1	yes	characteristic, complemented
109	C₄×#67	C₂²	1	1	yes	characteristic, complemented
110	C₄×#67	C₂²	1	1	yes	characteristic, complemented
111	C₄×#67	C₂²	1	1	yes	characteristic, complemented
112	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
113	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
117	#926	C₂²	1	1	yes	characteristic, complemented
118	#924	C₂²	1	1	yes	characteristic, complemented
119	#924	C₂²	1	1	yes	characteristic, complemented
120	#898	C₂²	1	1	yes	characteristic, complemented
121	#898	C₂²	1	1	yes	characteristic, complemented
122	#898	C₂²	1	1	yes	characteristic, complemented
123	#897	C₂²	1	1	yes	characteristic, complemented
124	#897	C₂²	1	1	yes	characteristic, complemented
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	#894	C₂²	1	1	yes	characteristic, complemented
131	#894	C₂²	1	1	yes	characteristic, complemented
132	#893	C₂²	1	1	yes	characteristic, complemented
133	#893	C₂²	1	1	yes	characteristic, complemented
134	#892	C₂²	1	1	yes	characteristic, complemented
135	#892	C₂²	1	1	yes	characteristic, complemented
136	#886	C₂²	1	1	yes	characteristic, complemented
137	#886	C₂²	1	1	yes	characteristic, complemented
138	#885	C₂²	1	1	yes	characteristic, complemented
139	#885	C₂²	1	1	yes	characteristic, complemented
140	#885	C₂²	1	1	yes	characteristic, complemented
141	#885	C₂²	1	1	yes	characteristic, complemented
142	#884	C₂²	1	1	yes	characteristic, complemented
143	#884	C₂²	1	1	yes	characteristic, complemented
144	#884	C₂²	1	1	yes	characteristic, complemented
145	#884	C₂²	1	1	yes	characteristic, complemented
146	#883	C₂²	1	1	yes	characteristic, complemented
147	#883	C₂²	1	1	yes	characteristic, complemented
148	#883	C₂²	1	1	yes	characteristic, complemented
149	#883	C₂²	1	1	yes	characteristic, complemented
150	#883	C₂²	1	1	yes	characteristic, complemented
151	#883	C₂²	1	1	yes	characteristic, complemented
152	#882	C₂²	1	1	yes	characteristic
153	#882	C₂²	1	1	yes	characteristic, complemented
154	#882	C₂²	1	1	yes	characteristic, complemented
155	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
163	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
164	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	#879	C₂²	1	1	yes	characteristic, complemented
175	#879	C₂²	1	1	yes	characteristic, complemented
176	#879	C₂²	1	1	yes	characteristic, complemented
177	#879	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	#877	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	C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
186	#872	C₂²	1	1	yes	characteristic, complemented
187	#872	C₂²	1	1	yes	characteristic, complemented
188	#551	—	3	1	no	—
189	#551	—	3	1	no	—
190	#551	—	3	1	no	—
191	#551	—	3	1	no	—
192	#551	—	3	1	no	—
193	#551	—	3	1	no	—
194	#551	—	3	1	no	—
195	#551	—	3	1	no	—
196	#546	—	3	1	no	—
197	#546	—	3	1	no	—
198	#546	—	3	1	no	—
199	#546	—	3	1	no	—
200	#546	—	3	1	no	—
201	#546	—	3	1	no	—
202	#546	—	3	1	no	—
203	#546	D₃	1	1	yes	characteristic, complemented
204	#543	—	3	1	no	—
205	#538	—	3	1	no	—
206	#538	—	3	1	no	—
207	#538	—	3	1	no	—
208	#538	—	3	1	no	—
209	#534	—	3	1	no	—
210	#525	—	3	1	no	—
211	#525	—	3	1	no	—
212	#525	—	3	1	no	—
213	#525	—	3	1	no	—
214	C₂×#120	—	3	1	no	—
215	C₂×#120	—	3	1	no	—
216	#518	—	3	1	no	—
217	#518	—	3	1	no	—
218	C₂²×C₂²⋊C₄	—	3	1	no	—
219	C₂⁴×C₃	C₂³	1	1	yes	characteristic
220	C₂⁴×C₃	C₂³	1	1	yes	characteristic
221	C₂³×D₃	—	2	4	no	—
222	C₂³×D₃	—	4	2	no	—
223	C₂³×D₃	—	4	2	no	—
224	C₂³×D₃	C₂³	1	1	yes	characteristic
225	C₂³×D₃	C₂³	1	1	yes	characteristic
226	C₂³×D₃	C₂³	1	1	yes	characteristic
227	C₂³×D₃	C₂³	1	1	yes	characteristic
228	C₂³×D₃	C₂³	1	1	yes	characteristic
229	C₂³×D₃	C₂³	1	1	yes	characteristic
230	C₂³×D₃	C₂³	1	1	yes	characteristic
231	C₃×#41	—	4	2	no	—
232	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic, complemented
233	C₂×C₃×D₄	—	4	2	no	—
234	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
242	C₂×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
243	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
244	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
245	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
246	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
247	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
248	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
249	C₂×#67	—	2	4	no	—
250	C₂×#67	—	4	2	no	—
251	C₂×#67	C₂³	1	1	yes	characteristic
252	C₂×#67	C₂³	1	1	yes	characteristic
253	C₂×#67	C₂³	1	1	yes	characteristic
254	C₂×#67	C₂³	1	1	yes	characteristic
255	C₂×#67	C₂³	1	1	yes	characteristic
256	C₂×#67	C₂³	1	1	yes	characteristic
257	C₂×#67	C₂³	1	1	yes	characteristic
258	C₂×#67	C₂³	1	1	yes	characteristic
259	C₂×#67	C₂³	1	1	yes	characteristic
260	C₂×#67	C₂³	1	1	yes	characteristic
261	C₂×#67	C₂³	1	1	yes	characteristic
262	C₂×#67	C₂³	1	1	yes	characteristic
263	C₂×#67	C₂³	1	1	yes	characteristic
264	C₂×#67	C₂³	1	1	yes	characteristic
265	C₂×#67	C₂³	1	1	yes	characteristic, complemented
266	C₂×#67	C₂³	1	1	yes	characteristic, complemented
267	C₂²×Dic₃	C₂³	1	1	yes	characteristic
268	C₂²×Dic₃	C₂³	1	1	yes	characteristic
269	C₂²×Dic₃	C₂³	1	1	yes	characteristic
270	C₂²×Dic₃	C₂³	1	1	yes	characteristic
271	C₂²×Dic₃	C₂³	1	1	yes	characteristic, complemented
272	C₂²×Dic₃	C₂³	1	1	yes	characteristic, complemented
273	C₂²×Dic₃	C₂³	1	1	yes	characteristic, complemented
274	#237	—	4	2	no	—
275	#237	—	4	2	no	—
276	D₃×D₄	—	2	4	no	—
277	D₃×D₄	—	4	2	no	—
278	D₃×D₄	—	4	2	no	—
279	#235	—	4	2	no	—
280	C₂×D₁₂	C₂³	1	1	yes	characteristic
281	C₂×D₁₂	C₂³	1	1	yes	characteristic
282	C₂×D₁₂	C₂³	1	1	yes	characteristic
283	C₂×C₄×D₃	—	4	2	no	—
284	C₂×C₄×D₃	—	4	2	no	—
285	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
297	C₂×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
298	C₂×Dic₆	C₂³	1	1	yes	characteristic, complemented
299	C₂×Dic₆	C₂³	1	1	yes	characteristic, complemented
300	C₂×Dic₆	C₂³	1	1	yes	characteristic, complemented
301	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
302	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
303	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
304	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
305	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
313	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
314	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
315	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
316	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
317	C₃×C₄²	C₂³	1	1	yes	characteristic, complemented
318	#217	C₂³	1	1	yes	characteristic
319	#217	C₂³	1	1	yes	characteristic
320	#217	C₂³	1	1	yes	characteristic
321	#217	C₂³	1	1	yes	characteristic
322	#217	C₂³	1	1	yes	characteristic
323	#217	C₂³	1	1	yes	characteristic
324	#217	C₂³	1	1	yes	characteristic
325	#217	C₂³	1	1	yes	characteristic
326	#217	C₂³	1	1	yes	characteristic
327	#217	C₂³	1	1	yes	characteristic
328	#217	C₂³	1	1	yes	characteristic
329	#217	C₂³	1	1	yes	characteristic, complemented
330	#217	C₂³	1	1	yes	characteristic, complemented
331	#217	C₂³	1	1	yes	characteristic, complemented
332	#217	C₂³	1	1	yes	characteristic, complemented
333	#217	C₂³	1	1	yes	characteristic, complemented
334	#217	C₂³	1	1	yes	characteristic, complemented
335	#217	C₂³	1	1	yes	characteristic, complemented
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	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
340	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
341	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
342	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
343	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
344	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
345	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
346	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
347	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
348	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
349	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
350	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
351	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
352	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
353	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
354	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
355	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
356	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
357	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
358	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
359	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
360	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
361	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
362	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
363	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
364	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
365	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
366	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
367	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
368	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
369	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
370	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
371	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
372	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
373	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
374	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
375	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
376	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
377	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
378	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
379	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
380	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
381	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
382	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
383	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
384	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
385	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
386	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
387	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
388	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
389	C₂⁵	—	3	1	no	—
390	C₂×#41	—	3	1	no	—
391	C₂×#41	—	3	1	no	—
392	C₂×#41	—	3	1	no	—
393	C₂×#41	C₂×D₃	1	1	yes	characteristic, complemented
394	C₂²×D₄	—	3	1	no	—
395	C₂²×D₄	—	3	1	no	—
396	C₂²×D₄	—	3	1	no	—
397	C₂²×D₄	—	3	1	no	—
398	C₂²×D₄	—	3	1	no	—
399	C₂²×D₄	C₂×D₃	1	1	yes	characteristic, complemented
400	C₂³×C₄	—	3	1	no	—
401	C₂³×C₄	—	3	1	no	—
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	#124	—	3	1	no	—
411	#124	—	3	1	no	—
412	#124	—	3	1	no	—
413	#124	—	3	1	no	—
414	#124	—	3	1	no	—
415	#124	—	3	1	no	—
416	#124	—	3	1	no	—
417	#124	C₂×D₃	1	1	yes	characteristic, complemented
418	#123	—	3	1	no	—
419	#123	—	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	—	3	1	no	—
435	#123	—	3	1	no	—
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	C₂×D₃	1	1	yes	characteristic, complemented
454	#121	—	3	1	no	—
455	#121	—	3	1	no	—
456	#121	—	3	1	no	—
457	#121	—	3	1	no	—
458	#121	—	3	1	no	—
459	#121	—	3	1	no	—
460	#121	—	3	1	no	—
461	#121	—	3	1	no	—
462	#121	—	3	1	no	—
463	#121	—	3	1	no	—
464	#121	—	3	1	no	—
465	#121	—	3	1	no	—
466	#121	—	3	1	no	—
467	#121	C₂×D₃	1	1	yes	characteristic, complemented
468	#121	C₂×D₃	1	1	yes	characteristic, complemented
469	#121	C₂×D₃	1	1	yes	characteristic, complemented
470	#120	—	3	1	no	—
471	#120	—	3	1	no	—
472	#120	—	3	1	no	—
473	#120	—	3	1	no	—
474	#120	—	3	1	no	—
475	#120	—	3	1	no	—
476	#120	—	3	1	no	—
477	#120	—	3	1	no	—
478	#120	—	3	1	no	—
479	#120	—	3	1	no	—
480	#120	—	3	1	no	—
481	#120	—	3	1	no	—
482	#120	—	3	1	no	—
483	#120	—	3	1	no	—
484	#120	—	3	1	no	—
485	#120	—	3	1	no	—
486	#120	—	3	1	no	—
487	#120	—	3	1	no	—
488	#120	C₂×D₃	1	1	yes	characteristic
489	#120	C₂×D₃	1	1	yes	characteristic, complemented
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	—	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	#117	—	3	1	no	—
522	C₂×C₂²⋊C₄	—	3	1	no	—
523	C₂×C₂²⋊C₄	—	3	1	no	—
524	C₂×C₂²⋊C₄	—	3	1	no	—
525	C₂×C₂²⋊C₄	—	3	1	no	—
526	C₂×C₂²⋊C₄	—	3	1	no	—
527	C₂×C₂²⋊C₄	—	3	1	no	—
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	C₂×C₂²⋊C₄	—	3	1	no	—
536	C₂×C₂²⋊C₄	—	3	1	no	—
537	C₂×C₂²⋊C₄	—	3	1	no	—
538	C₂×C₂²⋊C₄	—	3	1	no	—
539	C₂×C₂²⋊C₄	—	3	1	no	—
540	C₂×C₂²⋊C₄	—	3	1	no	—
541	C₂×C₂²⋊C₄	—	3	1	no	—
542	C₂×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
543	C₂×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
544	C₂³×C₃	—	2	2	no	—
545	C₂³×C₃	—	2	2	no	—
546	C₂³×C₃	—	2	2	no	—
547	C₂³×C₃	—	4	1	no	—
548	C₂³×C₃	—	4	1	no	—
549	C₂³×C₃	—	4	1	no	—
550	C₂³×C₃	C₂⁴	1	1	yes	characteristic
551	C₂³×C₃	C₂⁴	1	1	yes	characteristic
552	C₂³×C₃	C₂⁴	1	1	yes	characteristic
553	C₂³×C₃	C₂⁴	1	1	yes	characteristic
554	C₂³×C₃	C₂⁴	1	1	yes	characteristic
555	C₂³×C₃	C₂⁴	1	1	yes	characteristic
556	C₂²×D₃	—	2	2	no	—
557	C₂²×D₃	—	2	2	no	—
558	C₂²×D₃	—	2	2	no	—
559	C₂²×D₃	—	2	2	no	—
560	C₂²×D₃	—	2	2	no	—
561	C₂²×D₃	—	2	2	no	—
562	C₂²×D₃	—	2	2	no	—
563	C₂²×D₃	—	2	2	no	—
564	C₂²×D₃	—	2	2	no	—
565	C₂²×D₃	—	2	2	no	—
566	C₂²×D₃	—	2	2	no	—
567	C₂²×D₃	—	4	1	no	—
568	C₂²×D₃	—	4	1	no	—
569	C₂²×D₃	—	4	1	no	—
570	C₂²×D₃	—	4	1	no	—
571	C₂²×D₃	—	4	1	no	—
572	C₂²×D₃	—	4	1	no	—
573	C₂²×D₃	—	4	1	no	—
574	C₂²×D₃	—	4	1	no	—
575	C₂²×D₃	—	4	1	no	—
576	C₂²×D₃	—	4	16	no	—
577	C₂²×D₃	#41	1	4	yes	complemented
578	C₂²×D₃	C₂⁴	1	1	yes	characteristic
579	C₂²×D₃	C₂⁴	1	1	yes	characteristic
580	C₂²×D₃	C₂⁴	1	1	yes	characteristic
581	C₂²×D₃	C₂⁴	1	1	yes	characteristic
582	C₂²×D₃	C₂⁴	1	1	yes	characteristic
583	C₃×Q₈	—	4	1	no	—
584	C₃×D₄	—	2	2	no	—
585	C₃×D₄	—	2	2	no	—
586	C₃×D₄	—	2	2	no	—
587	C₃×D₄	—	2	2	no	—
588	C₃×D₄	—	4	1	no	—
589	C₃×D₄	—	4	1	no	—
590	C₃×D₄	—	4	1	no	—
591	C₃×D₄	—	4	1	no	—
592	C₃×D₄	—	4	1	no	—
593	C₂×C₃×C₄	—	2	2	no	—
594	C₂×C₃×C₄	—	4	1	no	—
595	C₂×C₃×C₄	—	4	1	no	—
596	C₂×C₃×C₄	—	4	1	no	—
597	C₂×C₃×C₄	—	4	1	no	—
598	C₂×C₃×C₄	—	4	1	no	—
599	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
600	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
601	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
602	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
603	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
604	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
605	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
606	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
607	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
608	#67	—	2	2	no	—
609	#67	—	2	2	no	—
610	#67	—	2	2	no	—
611	#67	—	2	2	no	—
612	#67	—	2	2	no	—
613	#67	—	2	2	no	—
614	#67	—	2	2	no	—
615	#67	—	2	2	no	—
616	#67	—	2	2	no	—
617	#67	—	2	2	no	—
618	#67	—	4	1	no	—
619	#67	—	4	1	no	—
620	#67	—	4	1	no	—
621	#67	—	4	1	no	—
622	#67	—	4	1	no	—
623	#67	—	4	1	no	—
624	C₂×Dic₃	—	2	2	no	—
625	C₂×Dic₃	—	2	2	no	—
626	C₂×Dic₃	—	4	1	no	—
627	C₂×Dic₃	—	4	1	no	—
628	C₂×Dic₃	—	4	1	no	—
629	C₂×Dic₃	—	4	1	no	—
630	C₂×Dic₃	—	4	1	no	—
631	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
632	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
633	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
634	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
635	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
636	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
637	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
638	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
639	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
640	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
641	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
642	D₁₂	—	2	2	no	—
643	D₁₂	—	2	2	no	—
644	D₁₂	—	4	1	no	—
645	C₄×D₃	—	2	2	no	—
646	C₄×D₃	—	2	2	no	—
647	C₄×D₃	—	2	2	no	—
648	C₄×D₃	—	4	1	no	—
649	C₄×D₃	—	4	1	no	—
650	C₄×D₃	—	4	1	no	—
651	C₄×D₃	—	4	1	no	—
652	C₄×D₃	—	4	1	no	—
653	C₄×D₃	—	4	1	no	—
654	C₄×D₃	—	4	1	no	—
655	C₄×D₃	—	4	1	no	—
656	C₄×D₃	—	4	1	no	—
657	C₄×D₃	—	4	1	no	—
658	Dic₆	—	4	1	no	—
659	Dic₆	—	4	1	no	—
660	Dic₆	—	4	1	no	—
661	C₂⁴	—	3	1	no	—
662	C₂⁴	—	3	1	no	—
663	C₂⁴	—	3	1	no	—
664	C₂⁴	—	3	1	no	—
665	C₂⁴	—	3	1	no	—
666	C₂⁴	—	3	1	no	—
667	C₂⁴	—	3	1	no	—
668	C₂⁴	—	6	4	no	—
669	C₂⁴	—	12	2	no	—
670	C₂⁴	—	12	2	no	—
671	C₂⁴	C₂²×D₃	1	1	yes	characteristic
672	C₂⁴	C₂²×D₃	1	1	yes	characteristic
673	#41	—	4	2	no	—
674	#41	—	12	2	no	—
675	#41	—	12	2	no	—
676	#41	—	12	2	no	—
677	C₂×Q₈	—	3	1	no	—
678	C₂×Q₈	—	3	1	no	—
679	C₂×Q₈	—	3	1	no	—
680	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
681	C₂×D₄	—	3	1	no	—
682	C₂×D₄	—	3	1	no	—
683	C₂×D₄	—	3	1	no	—
684	C₂×D₄	—	3	1	no	—
685	C₂×D₄	—	3	1	no	—
686	C₂×D₄	—	3	1	no	—
687	C₂×D₄	—	3	1	no	—
688	C₂×D₄	—	3	1	no	—
689	C₂×D₄	—	3	1	no	—
690	C₂×D₄	—	3	1	no	—
691	C₂×D₄	—	3	1	no	—
692	C₂×D₄	—	3	1	no	—
693	C₂×D₄	—	3	1	no	—
694	C₂×D₄	—	3	1	no	—
695	C₂×D₄	—	3	1	no	—
696	C₂×D₄	—	3	1	no	—
697	C₂×D₄	—	3	1	no	—
698	C₂×D₄	—	3	1	no	—
699	C₂×D₄	—	3	1	no	—
700	C₂×D₄	—	4	2	no	—
701	C₂×D₄	—	6	4	no	—
702	C₂×D₄	—	6	4	no	—
703	C₂×D₄	—	12	2	no	—
704	C₂×D₄	—	12	2	no	—
705	C₂×D₄	—	12	2	no	—
706	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
707	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
708	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
709	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
710	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
711	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
712	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
713	C₂×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
714	C₂×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
715	C₂²×C₄	—	3	1	no	—
716	C₂²×C₄	—	3	1	no	—
717	C₂²×C₄	—	3	1	no	—
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	—	12	2	no	—
736	C₂²×C₄	—	12	2	no	—
737	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
738	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
739	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
740	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
741	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
742	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
743	C₄⋊C₄	—	3	1	no	—
744	C₄⋊C₄	—	3	1	no	—
745	C₄⋊C₄	—	3	1	no	—
746	C₄⋊C₄	—	3	1	no	—
747	C₄⋊C₄	—	3	1	no	—
748	C₄⋊C₄	—	3	1	no	—
749	C₄⋊C₄	—	3	1	no	—
750	C₄⋊C₄	—	3	1	no	—
751	C₄⋊C₄	—	3	1	no	—
752	C₄⋊C₄	—	3	1	no	—
753	C₄⋊C₄	—	3	1	no	—
754	C₄⋊C₄	—	3	1	no	—
755	C₄⋊C₄	—	3	1	no	—
756	C₄⋊C₄	—	3	1	no	—
757	C₄⋊C₄	—	3	1	no	—
758	C₄⋊C₄	—	3	1	no	—
759	C₄⋊C₄	—	3	1	no	—
760	C₄⋊C₄	—	3	1	no	—
761	C₄⋊C₄	—	3	1	no	—
762	C₄⋊C₄	—	3	1	no	—
763	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
764	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
765	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
766	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
767	C₂²⋊C₄	—	3	1	no	—
768	C₂²⋊C₄	—	3	1	no	—
769	C₂²⋊C₄	—	3	1	no	—
770	C₂²⋊C₄	—	3	1	no	—
771	C₂²⋊C₄	—	3	1	no	—
772	C₂²⋊C₄	—	3	1	no	—
773	C₂²⋊C₄	—	3	1	no	—
774	C₂²⋊C₄	—	3	1	no	—
775	C₂²⋊C₄	—	3	1	no	—
776	C₂²⋊C₄	—	3	1	no	—
777	C₂²⋊C₄	—	3	1	no	—
778	C₂²⋊C₄	—	3	1	no	—
779	C₂²⋊C₄	—	3	1	no	—
780	C₂²⋊C₄	—	3	1	no	—
781	C₂²⋊C₄	—	3	1	no	—
782	C₂²⋊C₄	—	3	1	no	—
783	C₂²⋊C₄	—	3	1	no	—
784	C₂²⋊C₄	—	3	1	no	—
785	C₂²⋊C₄	—	3	1	no	—
786	C₂²⋊C₄	—	3	1	no	—
787	C₂²⋊C₄	—	3	1	no	—
788	C₂²⋊C₄	—	3	1	no	—
789	C₂²⋊C₄	—	3	1	no	—
790	C₂²⋊C₄	—	3	1	no	—
791	C₂²⋊C₄	—	3	1	no	—
792	C₂²⋊C₄	—	3	1	no	—
793	C₂²⋊C₄	—	3	1	no	—
794	C₂²⋊C₄	—	3	1	no	—
795	C₂²⋊C₄	—	3	1	no	—
796	C₂²⋊C₄	—	3	1	no	—
797	C₂²⋊C₄	—	3	1	no	—
798	C₂²⋊C₄	—	3	1	no	—
799	C₂²⋊C₄	—	3	1	no	—
800	C₂²⋊C₄	—	3	1	no	—
801	C₂²⋊C₄	—	3	1	no	—
802	C₂²⋊C₄	—	3	1	no	—
803	C₂²⋊C₄	—	3	1	no	—
804	C₂²⋊C₄	—	3	1	no	—
805	C₂²⋊C₄	—	3	1	no	—
806	C₂²⋊C₄	—	3	1	no	—
807	C₂²⋊C₄	—	3	1	no	—
808	C₂²⋊C₄	—	3	1	no	—
809	C₂²⋊C₄	—	3	1	no	—
810	C₂²⋊C₄	—	3	1	no	—
811	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
812	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
813	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
814	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
815	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
816	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
817	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
818	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
819	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
820	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
821	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
822	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
823	C₄²	—	3	1	no	—
824	C₄²	—	3	1	no	—
825	C₄²	—	3	1	no	—
826	C₄²	—	3	1	no	—
827	C₄²	—	3	1	no	—
828	C₄²	—	3	1	no	—
829	C₄²	—	3	1	no	—
830	C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
831	C₂²×C₃	—	2	1	no	—
832	C₂²×C₃	—	2	1	no	—
833	C₂²×C₃	—	2	1	no	—
834	C₂²×C₃	—	2	1	no	—
835	C₂²×C₃	—	2	1	no	—
836	C₂²×C₃	—	2	1	no	—
837	C₂²×C₃	—	2	1	no	—
838	C₂²×C₃	—	2	1	no	—
839	C₂²×C₃	—	2	1	no	—
840	C₂²×C₃	—	2	1	no	—
841	C₂²×C₃	—	2	1	no	—
842	C₂²×C₃	—	2	1	no	—
843	C₂²×C₃	—	2	1	no	—
844	C₂²×C₃	—	2	1	no	—
845	C₂²×C₃	—	2	1	no	—
846	C₂²×C₃	—	2	1	no	—
847	C₂²×C₃	—	4	4	no	—
848	C₂²×C₃	—	8	2	no	—
849	C₂²×C₃	C₂×#41	1	2	yes	—
850	C₂²×C₃	H(5,𝔽₂)	1	2	yes	—
851	C₂²×C₃	C₂⁵	1	1	yes	characteristic
852	C₂×D₃	—	2	8	no	—
853	C₂×D₃	—	2	1	no	—
854	C₂×D₃	—	2	1	no	—
855	C₂×D₃	—	2	1	no	—
856	C₂×D₃	—	2	1	no	—
857	C₂×D₃	—	2	1	no	—
858	C₂×D₃	—	2	1	no	—
859	C₂×D₃	—	2	1	no	—
860	C₂×D₃	—	2	1	no	—
861	C₂×D₃	—	2	1	no	—
862	C₂×D₃	—	2	1	no	—
863	C₂×D₃	—	2	1	no	—
864	C₂×D₃	—	2	1	no	—
865	C₂×D₃	—	4	4	no	—
866	C₂×D₃	—	4	4	no	—
867	C₂×D₃	—	4	4	no	—
868	C₂×D₃	—	4	4	no	—
869	C₂×D₃	—	4	4	no	—
870	C₂×D₃	—	8	2	no	—
871	C₂×D₃	C₂×#41	1	2	yes	—
872	C₂×D₃	C₂×#41	1	2	yes	—
873	C₂×D₃	H(5,𝔽₂)	1	2	yes	—
874	C₃×C₄	—	2	1	no	—
875	C₃×C₄	—	2	1	no	—
876	C₃×C₄	—	2	1	no	—
877	C₃×C₄	—	2	1	no	—
878	C₃×C₄	—	2	1	no	—
879	C₃×C₄	—	2	1	no	—
880	C₃×C₄	—	2	1	no	—
881	C₃×C₄	—	2	1	no	—
882	C₃×C₄	—	2	1	no	—
883	Dic₃	—	2	1	no	—
884	Dic₃	—	2	1	no	—
885	Dic₃	—	2	1	no	—
886	Dic₃	—	2	1	no	—
887	Dic₃	—	2	1	no	—
888	Dic₃	—	2	1	no	—
889	Dic₃	—	2	1	no	—
890	Dic₃	—	2	1	no	—
891	Dic₃	—	2	1	no	—
892	Dic₃	—	2	1	no	—
893	Dic₃	—	2	1	no	—
894	C₂³	—	2	2	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	3	1	no	—
898	C₂³	—	3	1	no	—
899	C₂³	—	3	1	no	—
900	C₂³	—	3	4	no	—
901	C₂³	—	3	1	no	—
902	C₂³	—	3	1	no	—
903	C₂³	—	4	1	no	—
904	C₂³	—	4	1	no	—
905	C₂³	—	4	1	no	—
906	C₂³	—	6	2	no	—
907	C₂³	—	6	2	no	—
908	C₂³	—	6	2	no	—
909	C₂³	—	6	2	no	—
910	C₂³	—	6	2	no	—
911	C₂³	—	6	2	no	—
912	C₂³	—	6	2	no	—
913	C₂³	—	6	2	no	—
914	C₂³	—	6	2	no	—
915	C₂³	—	6	2	no	—
916	C₂³	—	6	2	no	—
917	C₂³	—	12	1	no	—
918	C₂³	—	12	1	no	—
919	C₂³	—	12	1	no	—
920	C₂³	—	12	1	no	—
921	C₂³	—	12	1	no	—
922	C₂³	—	12	1	no	—
923	C₂³	—	12	1	no	—
924	C₂³	—	12	1	no	—
925	C₂³	—	12	1	no	—
926	C₂³	—	12	16	no	—
927	C₂³	C₂³×D₃	1	1	yes	characteristic
928	C₂³	C₂³×D₃	1	1	yes	characteristic
929	C₂³	C₂³×D₃	1	1	yes	characteristic
930	C₂³	C₂³×D₃	1	1	yes	characteristic
931	C₂³	C₂³×D₃	1	1	yes	characteristic
932	C₂³	C₂³×D₃	1	1	yes	characteristic
933	Q₈	—	4	1	no	—
934	Q₈	—	12	1	no	—
935	Q₈	—	12	1	no	—
936	Q₈	—	12	1	no	—
937	D₄	—	2	2	no	—
938	D₄	—	2	2	no	—
939	D₄	—	2	2	no	—
940	D₄	—	2	2	no	—
941	D₄	—	4	1	no	—
942	D₄	—	4	1	no	—
943	D₄	—	4	1	no	—
944	D₄	—	4	1	no	—
945	D₄	—	4	1	no	—
946	D₄	—	6	2	no	—
947	D₄	—	6	2	no	—
948	D₄	—	6	2	no	—
949	D₄	—	6	2	no	—
950	D₄	—	6	2	no	—
951	D₄	—	6	2	no	—
952	D₄	—	6	2	no	—
953	D₄	—	6	2	no	—
954	D₄	—	6	2	no	—
955	D₄	—	6	2	no	—
956	D₄	—	6	2	no	—
957	D₄	—	6	2	no	—
958	D₄	—	12	1	no	—
959	D₄	—	12	1	no	—
960	D₄	—	12	1	no	—
961	D₄	—	12	1	no	—
962	D₄	—	12	1	no	—
963	D₄	—	12	1	no	—
964	D₄	—	12	1	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	3	1	no	—
967	C₂×C₄	—	3	1	no	—
968	C₂×C₄	—	3	1	no	—
969	C₂×C₄	—	3	1	no	—
970	C₂×C₄	—	3	1	no	—
971	C₂×C₄	—	3	1	no	—
972	C₂×C₄	—	3	1	no	—
973	C₂×C₄	—	3	1	no	—
974	C₂×C₄	—	3	1	no	—
975	C₂×C₄	—	3	1	no	—
976	C₂×C₄	—	3	1	no	—
977	C₂×C₄	—	4	1	no	—
978	C₂×C₄	—	4	1	no	—
979	C₂×C₄	—	4	1	no	—
980	C₂×C₄	—	4	1	no	—
981	C₂×C₄	—	4	1	no	—
982	C₂×C₄	—	6	2	no	—
983	C₂×C₄	—	6	2	no	—
984	C₂×C₄	—	6	2	no	—
985	C₂×C₄	—	6	2	no	—
986	C₂×C₄	—	6	2	no	—
987	C₂×C₄	—	12	1	no	—
988	C₂×C₄	—	12	1	no	—
989	C₂×C₄	—	12	1	no	—
990	C₂×C₄	—	12	1	no	—
991	C₂×C₄	—	12	1	no	—
992	C₂×C₄	—	12	1	no	—
993	C₂×C₄	—	12	1	no	—
994	C₂×C₄	—	12	1	no	—
995	C₂×C₄	—	12	1	no	—
996	C₂×C₄	—	12	1	no	—
997	C₂×C₄	—	12	1	no	—
998	C₂×C₄	—	12	1	no	—
999	C₂×C₄	—	12	1	no	—
1000	C₂×C₄	—	12	1	no	—
1001	C₂×C₄	—	12	1	no	—
1002	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1003	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1004	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1005	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1006	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1007	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1008	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1009	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1010	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1011	C₂×C₃	—	2	2	no	—
1012	C₂×C₃	—	2	2	no	—
1013	C₂×C₃	—	4	1	no	—
1014	C₂×C₃	—	4	1	no	—
1015	C₂×C₃	—	4	1	no	—
1016	C₂×C₃	—	4	1	no	—
1017	C₂×C₃	C₂²×#41	1	1	yes	characteristic
1018	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1019	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1020	D₃	—	2	2	no	—
1021	D₃	—	2	2	no	—
1022	D₃	—	2	2	no	—
1023	D₃	—	4	1	no	—
1024	D₃	—	4	1	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	2	1	no	—
1031	C₂²	—	2	1	no	—
1032	C₂²	—	2	1	no	—
1033	C₂²	—	2	1	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	1	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	2	1	no	—
1041	C₂²	—	3	2	no	—
1042	C₂²	—	3	2	no	—
1043	C₂²	—	3	2	no	—
1044	C₂²	—	4	4	no	—
1045	C₂²	—	6	8	no	—
1046	C₂²	—	6	1	no	—
1047	C₂²	—	6	1	no	—
1048	C₂²	—	6	1	no	—
1049	C₂²	—	6	1	no	—
1050	C₂²	—	6	1	no	—
1051	C₂²	—	6	1	no	—
1052	C₂²	—	6	1	no	—
1053	C₂²	—	6	1	no	—
1054	C₂²	—	6	1	no	—
1055	C₂²	—	6	1	no	—
1056	C₂²	—	6	1	no	—
1057	C₂²	—	6	1	no	—
1058	C₂²	—	8	2	no	—
1059	C₂²	—	12	4	no	—
1060	C₂²	—	12	4	no	—
1061	C₂²	—	12	4	no	—
1062	C₂²	—	12	4	no	—
1063	C₂²	—	12	4	no	—
1064	C₂²	—	24	2	no	—
1065	C₂²	#1004	1	2	yes	—
1066	C₂²	D₃×#41	1	2	yes	—
1067	C₂²	C₂⁴×D₃	1	1	yes	characteristic
1068	C₄	—	2	1	no	—
1069	C₄	—	2	1	no	—
1070	C₄	—	2	1	no	—
1071	C₄	—	2	1	no	—
1072	C₄	—	2	1	no	—
1073	C₄	—	2	1	no	—
1074	C₄	—	2	1	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	1	no	—
1077	C₄	—	6	1	no	—
1078	C₄	—	6	1	no	—
1079	C₄	—	6	1	no	—
1080	C₄	—	6	1	no	—
1081	C₄	—	6	1	no	—
1082	C₄	—	6	1	no	—
1083	C₄	—	6	1	no	—
1084	C₄	—	6	1	no	—
1085	C₄	—	6	1	no	—
1086	C₄	—	6	1	no	—
1087	C₄	—	6	1	no	—
1088	C₃	#3490	1	1	yes	characteristic, complemented, Sylow
1089	C₂	—	2	2	no	—
1090	C₂	—	2	2	no	—
1091	C₂	—	4	1	no	—
1092	C₂	—	4	1	no	—
1093	C₂	—	4	1	no	—
1094	C₂	—	4	1	no	—
1095	C₂	—	6	2	no	—
1096	C₂	—	6	2	no	—
1097	C₂	—	6	2	no	—
1098	C₂	—	12	1	no	—
1099	C₂	—	12	1	no	—
1100	C₂	C₂×#1004	1	1	yes	characteristic
1101	C₂	C₂×D₃×#41	1	1	yes	characteristic
1102	C₂	D₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁵
Fitting	C₃×#546	C₂
hypercenter	#546	D₃
hypocenter	C₃	#3490
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₃×#546	C₂	semidirect
2. #5829	C₂	semidirect
3. #5828	C₂	semidirect
4. #5806	C₂	semidirect
5. C₂×#937	C₂	semidirect
6. #5679	C₂	semidirect
7. #5678	C₂	semidirect
8. #5659	C₂	semidirect
9. #5658	C₂	semidirect
10. #5657	C₂	semidirect
11. #5656	C₂	semidirect
12. #5637	C₂	semidirect
13. #5634	C₂	semidirect
14. #5613	C₂	semidirect
15. #5613	C₂	semidirect
16. #5612	C₂	semidirect
17. #5610	C₂	semidirect
18. #5610	C₂	semidirect
19. #5606	C₂	semidirect
20. #5591	C₂	semidirect
21. #5589	C₂	semidirect
22. D₃×#120	C₂	semidirect
23. #5587	C₂	semidirect
24. #5556	C₂	semidirect
25. #5556	C₂	semidirect
26. #5547	C₂	semidirect
27. #5545	C₂	semidirect
28. #5495	C₂	semidirect
29. #5490	C₂	semidirect
30. #5486	C₂	semidirect
31. C₂×D₃×C₂²⋊C₄	C₂	semidirect
34. C₂×C₃×#41	C₂²	semidirect
35. C₂²×C₃×D₄	C₂²	semidirect
37. C₂²×#67	C₂²	semidirect
38. C₂×#237	C₂²	semidirect
39. C₂×#237	C₂²	semidirect
41. C₂×D₃×D₄	C₂²	semidirect
42. C₂×D₃×D₄	C₂²	semidirect
43. C₂×#235	C₂²	semidirect
44. C₂²×C₄×D₃	C₂²	semidirect
45. C₂²×C₄×D₃	C₂²	semidirect
46. C₃×#124	C₂²	semidirect
47. C₃×#123	C₂²	semidirect
48. C₃×#123	C₂²	semidirect
49. C₃×C₂²⋊Q₈	C₂²	semidirect
50. C₃×#121	C₂²	semidirect
51. C₃×#121	C₂²	semidirect
52. C₃×#121	C₂²	semidirect
54. C₃×#120	C₂²	semidirect
55. C₃×C₄×D₄	C₂²	semidirect
56. C₃×C₄×D₄	C₂²	semidirect
57. C₂×C₃×C₂²⋊C₄	C₂²	semidirect
58. C₂×C₃×C₂²⋊C₄	C₂²	semidirect
60. #953	C₂²	semidirect
61. C₂×#217	C₂²	semidirect
62. C₂×#217	C₂²	semidirect
63. C₂×#217	C₂²	semidirect
64. #947	C₂²	semidirect
65. #946	C₂²	semidirect
66. #946	C₂²	semidirect
67. #946	C₂²	semidirect
68. #939	C₂²	semidirect
69. #939	C₂²	semidirect
70. #939	C₂²	semidirect
71. #939	C₂²	semidirect
72. #938	C₂²	semidirect
73. #938	C₂²	semidirect
74. #938	C₂²	semidirect
75. #938	C₂²	semidirect
81. #937	C₂²	semidirect
82. #937	C₂²	semidirect
83. #937	C₂²	semidirect
84. #937	C₂²	semidirect
85. #937	C₂²	semidirect
86. #937	C₂²	semidirect
87. #937	C₂²	semidirect
88. #937	C₂²	semidirect
89. #936	C₂²	semidirect
90. #936	C₂²	semidirect
91. #935	C₂²	semidirect
92. #935	C₂²	semidirect
93. #935	C₂²	semidirect
94. #935	C₂²	semidirect
95. #935	C₂²	semidirect
96. D₄×Dic₃	C₂²	semidirect
97. D₄×Dic₃	C₂²	semidirect
98. D₄×Dic₃	C₂²	semidirect
99. #930	C₂²	semidirect
100. #929	C₂²	semidirect
101. #929	C₂²	semidirect
102. #929	C₂²	semidirect
103. C₄×#67	C₂²	semidirect
104. C₄×#67	C₂²	semidirect
105. C₄×#67	C₂²	semidirect
106. C₄×#67	C₂²	semidirect
107. C₄×#67	C₂²	semidirect
108. C₄×#67	C₂²	semidirect
109. C₄×#67	C₂²	semidirect
110. C₄×#67	C₂²	semidirect
111. C₄×#67	C₂²	semidirect
113. C₂×(C₂×D₃)⋊C₄	C₂²	semidirect
114. C₂×(C₂×D₃)⋊C₄	C₂²	semidirect
115. C₂×(C₂×D₃)⋊C₄	C₂²	semidirect
116. C₂×(C₂×D₃)⋊C₄	C₂²	semidirect
117. #926	C₂²	semidirect
118. #924	C₂²	semidirect
119. #924	C₂²	semidirect
120. #898	C₂²	semidirect
121. #898	C₂²	semidirect
122. #898	C₂²	semidirect
123. #897	C₂²	semidirect
124. #897	C₂²	semidirect
125. #896	C₂²	semidirect
126. #896	C₂²	semidirect
127. #896	C₂²	semidirect
128. #896	C₂²	semidirect
129. #896	C₂²	semidirect
130. #894	C₂²	semidirect
131. #894	C₂²	semidirect
132. #893	C₂²	semidirect
133. #893	C₂²	semidirect
134. #892	C₂²	semidirect
135. #892	C₂²	semidirect
136. #886	C₂²	semidirect
137. #886	C₂²	semidirect
138. #885	C₂²	semidirect
139. #885	C₂²	semidirect
140. #885	C₂²	semidirect
141. #885	C₂²	semidirect
142. #884	C₂²	semidirect
143. #884	C₂²	semidirect
144. #884	C₂²	semidirect
145. #884	C₂²	semidirect
146. #883	C₂²	semidirect
147. #883	C₂²	semidirect
148. #883	C₂²	semidirect
149. #883	C₂²	semidirect
150. #883	C₂²	semidirect
151. #883	C₂²	semidirect
153. #882	C₂²	semidirect
154. #882	C₂²	semidirect
155. #67⋊C₄	C₂²	semidirect
156. #67⋊C₄	C₂²	semidirect
157. #67⋊C₄	C₂²	semidirect
158. #67⋊C₄	C₂²	semidirect
159. #67⋊C₄	C₂²	semidirect
160. #67⋊C₄	C₂²	semidirect
161. #67⋊C₄	C₂²	semidirect
165. D₃×C₂²⋊C₄	C₂²	semidirect
166. D₃×C₂²⋊C₄	C₂²	semidirect
167. D₃×C₂²⋊C₄	C₂²	semidirect
168. D₃×C₂²⋊C₄	C₂²	semidirect
169. D₃×C₂²⋊C₄	C₂²	semidirect
170. D₃×C₂²⋊C₄	C₂²	semidirect
171. D₃×C₂²⋊C₄	C₂²	semidirect
172. D₃×C₂²⋊C₄	C₂²	semidirect
173. D₃×C₂²⋊C₄	C₂²	semidirect
174. #879	C₂²	semidirect
175. #879	C₂²	semidirect
176. #879	C₂²	semidirect
177. #879	C₂²	semidirect
178. #878	C₂²	semidirect
179. #878	C₂²	semidirect
180. #878	C₂²	semidirect
181. #877	C₂²	semidirect
182. #877	C₂²	semidirect
183. #877	C₂²	semidirect
184. #876	C₂²	semidirect
185. C₄×D₁₂	C₂²	semidirect
186. #872	C₂²	semidirect
187. #872	C₂²	semidirect
203. #546	D₃	semidirect
232. C₂×C₃×Q₈	C₂³	semidirect
241. C₂×C₃×D₄	C₂³	semidirect
242. C₂×C₃×D₄	C₂³	semidirect
246. C₂²×C₃×C₄	C₂³	semidirect
247. C₂²×C₃×C₄	C₂³	semidirect
248. C₂²×C₃×C₄	C₂³	semidirect
265. C₂×#67	C₂³	semidirect
266. C₂×#67	C₂³	semidirect
271. C₂²×Dic₃	C₂³	semidirect
272. C₂²×Dic₃	C₂³	semidirect
273. C₂²×Dic₃	C₂³	semidirect
296. C₂×C₄×D₃	C₂³	semidirect
297. C₂×C₄×D₃	C₂³	semidirect
298. C₂×Dic₆	C₂³	semidirect
299. C₂×Dic₆	C₂³	semidirect
300. C₂×Dic₆	C₂³	semidirect
301. C₃×C₄⋊C₄	C₂³	semidirect
302. C₃×C₄⋊C₄	C₂³	semidirect
303. C₃×C₄⋊C₄	C₂³	semidirect
304. C₃×C₄⋊C₄	C₂³	semidirect
312. C₃×C₂²⋊C₄	C₂³	semidirect
313. C₃×C₂²⋊C₄	C₂³	semidirect
314. C₃×C₂²⋊C₄	C₂³	semidirect
315. C₃×C₂²⋊C₄	C₂³	semidirect
316. C₃×C₂²⋊C₄	C₂³	semidirect
317. C₃×C₄²	C₂³	semidirect
329. #217	C₂³	semidirect
330. #217	C₂³	semidirect
331. #217	C₂³	semidirect
332. #217	C₂³	semidirect
333. #217	C₂³	semidirect
334. #217	C₂³	semidirect
335. #217	C₂³	semidirect
358. (C₂×D₃)⋊C₄	C₂³	semidirect
359. (C₂×D₃)⋊C₄	C₂³	semidirect
360. (C₂×D₃)⋊C₄	C₂³	semidirect
361. (C₂×D₃)⋊C₄	C₂³	semidirect
362. C₄⋊Dic₃	C₂³	semidirect
363. C₄⋊Dic₃	C₂³	semidirect
364. C₄⋊Dic₃	C₂³	semidirect
365. C₄⋊Dic₃	C₂³	semidirect
366. C₄⋊Dic₃	C₂³	semidirect
367. C₄⋊Dic₃	C₂³	semidirect
368. Dic₃⋊C₄	C₂³	semidirect
369. Dic₃⋊C₄	C₂³	semidirect
370. Dic₃⋊C₄	C₂³	semidirect
371. Dic₃⋊C₄	C₂³	semidirect
372. Dic₃⋊C₄	C₂³	semidirect
373. Dic₃⋊C₄	C₂³	semidirect
374. Dic₃⋊C₄	C₂³	semidirect
375. Dic₃⋊C₄	C₂³	semidirect
376. Dic₃⋊C₄	C₂³	semidirect
377. Dic₃⋊C₄	C₂³	semidirect
378. Dic₃⋊C₄	C₂³	semidirect
379. Dic₃⋊C₄	C₂³	semidirect
380. Dic₃⋊C₄	C₂³	semidirect
381. Dic₃⋊C₄	C₂³	semidirect
382. C₄×Dic₃	C₂³	semidirect
383. C₄×Dic₃	C₂³	semidirect
384. C₄×Dic₃	C₂³	semidirect
385. C₄×Dic₃	C₂³	semidirect
386. C₄×Dic₃	C₂³	semidirect
387. C₄×Dic₃	C₂³	semidirect
388. C₄×Dic₃	C₂³	semidirect
393. C₂×#41	C₂×D₃	semidirect
399. C₂²×D₄	C₂×D₃	semidirect
417. #124	C₂×D₃	semidirect
436. #123	C₂×D₃	semidirect
437. #123	C₂×D₃	semidirect
453. C₂²⋊Q₈	C₂×D₃	semidirect
467. #121	C₂×D₃	semidirect
468. #121	C₂×D₃	semidirect
469. #121	C₂×D₃	semidirect
489. #120	C₂×D₃	semidirect
512. C₄×D₄	C₂×D₃	semidirect
513. C₄×D₄	C₂×D₃	semidirect
542. C₂×C₂²⋊C₄	C₂×D₃	semidirect
543. C₂×C₂²⋊C₄	C₂×D₃	semidirect
577. C₂²×D₃	#41	semidirect
680. C₂×Q₈	C₂²×D₃	semidirect
713. C₂×D₄	C₂²×D₃	semidirect
714. C₂×D₄	C₂²×D₃	semidirect
740. C₂²×C₄	C₂²×D₃	semidirect
741. C₂²×C₄	C₂²×D₃	semidirect
742. C₂²×C₄	C₂²×D₃	semidirect
763. C₄⋊C₄	C₂²×D₃	semidirect
764. C₄⋊C₄	C₂²×D₃	semidirect
765. C₄⋊C₄	C₂²×D₃	semidirect
766. C₄⋊C₄	C₂²×D₃	semidirect
818. C₂²⋊C₄	C₂²×D₃	semidirect
819. C₂²⋊C₄	C₂²×D₃	semidirect
820. C₂²⋊C₄	C₂²×D₃	semidirect
821. C₂²⋊C₄	C₂²×D₃	semidirect
822. C₂²⋊C₄	C₂²×D₃	semidirect
830. C₄²	C₂²×D₃	semidirect
1088. C₃	#3490	semidirect

Maximal subgroups

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

subgroup	index
C₃×#546	2
#5829	2
#5828	2
#5806	2
C₂×#937	2
#5679	2
#5678	2
#5659	2
#5658	2
#5657	2
#5656	2
#5637	2
#5634	2
#5613	2
#5612	2
#5610	2
#5606	2
#5591	2
#5589	2
D₃×#120	2
#5587	2
#5556	2
#5547	2
#5545	2
#5495	2
#5490	2
#5486	2
C₂×D₃×C₂²⋊C₄	2
#3490	3