Subgroups — #86667

Order 384.

1336 conjugacy classes of subgroups.

The subgroup lattice has 1154 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	#5830	C₂	1	1	yes	maximal, characteristic, complemented
3	#5829	C₂	1	1	yes	maximal, characteristic, complemented
4	D₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#937	C₂	1	1	yes	maximal, characteristic, complemented
6	#5683	C₂	1	1	yes	maximal, characteristic, complemented
7	#5678	C₂	1	1	yes	maximal, characteristic, complemented
8	#5666	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	#5653	C₂	1	1	yes	maximal, characteristic, complemented
12	#5644	C₂	1	1	yes	maximal, characteristic, complemented
13	#5637	C₂	1	1	yes	maximal, characteristic, complemented
14	#5620	C₂	1	1	yes	maximal, characteristic, complemented
15	#5620	C₂	1	1	yes	maximal, characteristic, complemented
16	#5617	C₂	1	1	yes	maximal, characteristic, complemented
17	#5609	C₂	1	1	yes	maximal, characteristic, complemented
18	#5607	C₂	1	1	yes	maximal, characteristic, complemented
19	#5605	C₂	1	1	yes	maximal, characteristic, complemented
20	#5592	C₂	1	1	yes	maximal, characteristic, complemented
21	#5591	C₂	1	1	yes	maximal, characteristic, complemented
22	#5590	C₂	1	1	yes	maximal, characteristic, complemented
23	D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
24	#5560	C₂	1	1	yes	maximal, characteristic, complemented
25	#5560	C₂	1	1	yes	maximal, characteristic, complemented
26	#5554	C₂	1	1	yes	maximal, characteristic, complemented
27	#5550	C₂	1	1	yes	maximal, characteristic, complemented
28	#5495	C₂	1	1	yes	maximal, characteristic, complemented
29	#5493	C₂	1	1	yes	maximal, characteristic, complemented
30	#5490	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#882	C₂	1	1	yes	maximal, characteristic, complemented
32	#3532	—	3	1	no	maximal, Sylow
33	C₂⁴×D₃	C₂²	1	1	yes	characteristic, complemented
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, complemented
37	C₂²×#67	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#67	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#67	C₂²	1	1	yes	characteristic, complemented
40	C₂×#237	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
46	C₂×#235	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₁₂	C₂²	1	1	yes	characteristic, complemented
48	C₂²×D₁₂	C₂²	1	1	yes	characteristic, complemented
49	C₃×#124	C₂²	1	1	yes	characteristic, complemented
50	C₃×#123	C₂²	1	1	yes	characteristic, complemented
51	C₃×#123	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₃×#121	C₂²	1	1	yes	characteristic, complemented
54	C₃×#121	C₂²	1	1	yes	characteristic, complemented
55	C₃×#121	C₂²	1	1	yes	characteristic, complemented
56	C₃×#120	C₂²	1	1	yes	characteristic, complemented
57	C₃×#120	C₂²	1	1	yes	characteristic, complemented
58	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	#953	C₂²	1	1	yes	characteristic
63	#953	C₂²	1	1	yes	characteristic, complemented
64	C₂×#217	C₂²	1	1	yes	characteristic, complemented
65	#947	C₂²	1	1	yes	characteristic, complemented
66	#947	C₂²	1	1	yes	characteristic, complemented
67	#947	C₂²	1	1	yes	characteristic, complemented
68	#946	C₂²	1	1	yes	characteristic, complemented
69	#940	C₂²	1	1	yes	characteristic, complemented
70	#940	C₂²	1	1	yes	characteristic, complemented
71	#940	C₂²	1	1	yes	characteristic, complemented
72	#940	C₂²	1	1	yes	characteristic, complemented
73	#939	C₂²	1	1	yes	characteristic, complemented
74	#939	C₂²	1	1	yes	characteristic, complemented
75	#939	C₂²	1	1	yes	characteristic, complemented
76	#939	C₂²	1	1	yes	characteristic, complemented
77	#939	C₂²	1	1	yes	characteristic, complemented
78	#939	C₂²	1	1	yes	characteristic, complemented
79	#939	C₂²	1	1	yes	characteristic, complemented
80	#938	C₂²	1	1	yes	characteristic, complemented
81	#938	C₂²	1	1	yes	characteristic, complemented
82	#937	C₂²	1	1	yes	characteristic
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	#937	C₂²	1	1	yes	characteristic, complemented
90	#937	C₂²	1	1	yes	characteristic, complemented
91	#937	C₂²	1	1	yes	characteristic, complemented
92	#937	C₂²	1	1	yes	characteristic, complemented
93	#937	C₂²	1	1	yes	characteristic, complemented
94	#937	C₂²	1	1	yes	characteristic, complemented
95	#937	C₂²	1	1	yes	characteristic, complemented
96	#937	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	#930	C₂²	1	1	yes	characteristic, complemented
101	#930	C₂²	1	1	yes	characteristic, complemented
102	#930	C₂²	1	1	yes	characteristic, complemented
103	#930	C₂²	1	1	yes	characteristic, complemented
104	#930	C₂²	1	1	yes	characteristic, complemented
105	#930	C₂²	1	1	yes	characteristic, complemented
106	#930	C₂²	1	1	yes	characteristic, complemented
107	#929	C₂²	1	1	yes	characteristic, complemented
108	#929	C₂²	1	1	yes	characteristic, complemented
109	#929	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	C₄×#67	C₂²	1	1	yes	characteristic, complemented
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	C₂×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	#926	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	#898	C₂²	1	1	yes	characteristic, complemented
124	#898	C₂²	1	1	yes	characteristic, complemented
125	#897	C₂²	1	1	yes	characteristic, complemented
126	#895	C₂²	1	1	yes	characteristic, complemented
127	#895	C₂²	1	1	yes	characteristic, complemented
128	#895	C₂²	1	1	yes	characteristic, complemented
129	#894	C₂²	1	1	yes	characteristic, complemented
130	#894	C₂²	1	1	yes	characteristic, complemented
131	#894	C₂²	1	1	yes	characteristic, complemented
132	#894	C₂²	1	1	yes	characteristic, complemented
133	#894	C₂²	1	1	yes	characteristic, complemented
134	#893	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	#886	C₂²	1	1	yes	characteristic, complemented
139	#886	C₂²	1	1	yes	characteristic, complemented
140	#886	C₂²	1	1	yes	characteristic, complemented
141	#885	C₂²	1	1	yes	characteristic, complemented
142	#885	C₂²	1	1	yes	characteristic, complemented
143	#885	C₂²	1	1	yes	characteristic, complemented
144	#885	C₂²	1	1	yes	characteristic, complemented
145	#885	C₂²	1	1	yes	characteristic, complemented
146	#885	C₂²	1	1	yes	characteristic, complemented
147	#884	C₂²	1	1	yes	characteristic, complemented
148	#884	C₂²	1	1	yes	characteristic, complemented
149	#884	C₂²	1	1	yes	characteristic, complemented
150	#884	C₂²	1	1	yes	characteristic, complemented
151	#884	C₂²	1	1	yes	characteristic, complemented
152	#884	C₂²	1	1	yes	characteristic, complemented
153	#884	C₂²	1	1	yes	characteristic, complemented
154	#883	C₂²	1	1	yes	characteristic, complemented
155	#883	C₂²	1	1	yes	characteristic, complemented
156	#883	C₂²	1	1	yes	characteristic, complemented
157	#882	C₂²	1	1	yes	characteristic
158	#882	C₂²	1	1	yes	characteristic, complemented
159	#882	C₂²	1	1	yes	characteristic, complemented
160	#882	C₂²	1	1	yes	characteristic, complemented
161	#882	C₂²	1	1	yes	characteristic, complemented
162	#882	C₂²	1	1	yes	characteristic, complemented
163	#882	C₂²	1	1	yes	characteristic, complemented
164	#882	C₂²	1	1	yes	characteristic, complemented
165	#882	C₂²	1	1	yes	characteristic, complemented
166	#882	C₂²	1	1	yes	characteristic, complemented
167	#882	C₂²	1	1	yes	characteristic, complemented
168	#882	C₂²	1	1	yes	characteristic, complemented
169	#882	C₂²	1	1	yes	characteristic, complemented
170	#882	C₂²	1	1	yes	characteristic, complemented
171	#882	C₂²	1	1	yes	characteristic, complemented
172	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
177	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	#879	C₂²	1	1	yes	characteristic, complemented
180	#879	C₂²	1	1	yes	characteristic, complemented
181	#878	C₂²	1	1	yes	characteristic, complemented
182	#878	C₂²	1	1	yes	characteristic, complemented
183	#877	C₂²	1	1	yes	characteristic, complemented
184	#876	C₂²	1	1	yes	characteristic, complemented
185	#875	C₂²	1	1	yes	characteristic, complemented
186	#875	C₂²	1	1	yes	characteristic, complemented
187	C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
188	H(3,𝔽₄)	—	3	1	no	—
189	#560	—	3	1	no	—
190	#560	—	3	1	no	—
191	#560	—	3	1	no	—
192	#551	—	3	1	no	—
193	#551	—	3	1	no	—
194	#551	—	3	1	no	—
195	#546	—	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	D₃	1	1	yes	characteristic, complemented
201	D₄²	—	3	1	no	—
202	D₄²	—	3	1	no	—
203	D₄²	—	3	1	no	—
204	#538	—	3	1	no	—
205	#538	—	3	1	no	—
206	#538	—	3	1	no	—
207	#538	—	3	1	no	—
208	#538	—	3	1	no	—
209	#538	—	3	1	no	—
210	#535	—	3	1	no	—
211	#535	—	3	1	no	—
212	#535	—	3	1	no	—
213	#534	—	3	1	no	—
214	#534	—	3	1	no	—
215	#534	—	3	1	no	—
216	C₂×#120	—	3	1	no	—
217	C₂×#120	—	3	1	no	—
218	C₂×#120	—	3	1	no	—
219	C₂⁴×C₃	C₂³	1	1	yes	characteristic
220	C₂⁴×C₃	C₂³	1	1	yes	characteristic
221	C₂³×D₃	—	4	2	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	C₂³×D₃	C₂³	1	1	yes	characteristic
232	C₂³×D₃	C₂³	1	1	yes	characteristic, complemented
233	C₃×#41	—	4	2	no	—
234	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic, complemented
235	C₂×C₃×D₄	—	4	2	no	—
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
242	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
244	C₂×C₃×D₄	C₂³	1	1	yes	characteristic, complemented
245	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
246	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
247	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
248	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
249	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
250	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
251	C₂×#67	—	4	2	no	—
252	C₂×#67	—	4	2	no	—
253	C₂×#67	—	4	2	no	—
254	C₂×#67	—	4	2	no	—
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
266	C₂×#67	C₂³	1	1	yes	characteristic
267	C₂×#67	C₂³	1	1	yes	characteristic
268	C₂×#67	C₂³	1	1	yes	characteristic
269	C₂×#67	C₂³	1	1	yes	characteristic
270	C₂×#67	C₂³	1	1	yes	characteristic
271	C₂×#67	C₂³	1	1	yes	characteristic
272	C₂×#67	C₂³	1	1	yes	characteristic
273	C₂×#67	C₂³	1	1	yes	characteristic, complemented
274	C₂×#67	C₂³	1	1	yes	characteristic, complemented
275	C₂×#67	C₂³	1	1	yes	characteristic, complemented
276	C₂×#67	C₂³	1	1	yes	characteristic, complemented
277	C₂×#67	C₂³	1	1	yes	characteristic, complemented
278	C₂×#67	C₂³	1	1	yes	characteristic, complemented
279	C₂²×Dic₃	C₂³	1	1	yes	characteristic
280	C₂²×Dic₃	C₂³	1	1	yes	characteristic
281	C₂²×Dic₃	C₂³	1	1	yes	characteristic
282	C₂²×Dic₃	C₂³	1	1	yes	characteristic, complemented
283	C₂²×Dic₃	C₂³	1	1	yes	characteristic, complemented
284	#237	—	4	2	no	—
285	D₃×D₄	—	4	2	no	—
286	D₃×D₄	—	4	2	no	—
287	D₃×D₄	—	4	2	no	—
288	D₃×D₄	—	4	2	no	—
289	D₃×D₄	—	4	2	no	—
290	#235	—	4	2	no	—
291	C₂×D₁₂	—	4	2	no	—
292	C₂×D₁₂	—	4	2	no	—
293	C₂×D₁₂	C₂³	1	1	yes	characteristic
294	C₂×D₁₂	C₂³	1	1	yes	characteristic
295	C₂×D₁₂	C₂³	1	1	yes	characteristic
296	C₂×D₁₂	C₂³	1	1	yes	characteristic
297	C₂×D₁₂	C₂³	1	1	yes	characteristic
298	C₂×D₁₂	C₂³	1	1	yes	characteristic
299	C₂×D₁₂	C₂³	1	1	yes	characteristic
300	C₂×D₁₂	C₂³	1	1	yes	characteristic
301	C₂×D₁₂	C₂³	1	1	yes	characteristic
302	C₂×D₁₂	C₂³	1	1	yes	characteristic
303	C₂×D₁₂	C₂³	1	1	yes	characteristic
304	C₂×D₁₂	C₂³	1	1	yes	characteristic, complemented
305	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×D₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
309	C₂×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
310	C₂×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₄×D₃	C₂³	1	1	yes	characteristic, complemented
312	C₂×Dic₆	C₂³	1	1	yes	characteristic, complemented
313	C₂×Dic₆	C₂³	1	1	yes	characteristic, complemented
314	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
315	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
316	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
317	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
318	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
326	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
327	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
328	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
329	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
330	C₃×C₄²	C₂³	1	1	yes	characteristic, complemented
331	#217	C₂³	1	1	yes	characteristic
332	#217	C₂³	1	1	yes	characteristic
333	#217	C₂³	1	1	yes	characteristic
334	#217	C₂³	1	1	yes	characteristic
335	#217	C₂³	1	1	yes	characteristic
336	#217	C₂³	1	1	yes	characteristic
337	#217	C₂³	1	1	yes	characteristic
338	#217	C₂³	1	1	yes	characteristic, complemented
339	#217	C₂³	1	1	yes	characteristic, complemented
340	#217	C₂³	1	1	yes	characteristic, complemented
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
359	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
360	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
361	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
362	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
363	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
364	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
365	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
366	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
367	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
368	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
369	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
370	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
371	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
372	(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
373	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
374	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
375	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
376	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
377	C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
378	C₄⋊Dic₃	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	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
383	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
384	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
385	Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
386	Dic₃⋊C₄	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	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
390	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
391	C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
392	C₂⁵	—	3	1	no	—
393	C₂×#41	—	3	1	no	—
394	C₂×#41	—	3	1	no	—
395	C₂×#41	C₂×D₃	1	1	yes	characteristic, complemented
396	C₂²×D₄	—	3	1	no	—
397	C₂²×D₄	—	3	1	no	—
398	C₂²×D₄	—	3	1	no	—
399	C₂²×D₄	—	3	1	no	—
400	C₂²×D₄	—	3	1	no	—
401	C₂²×D₄	—	3	1	no	—
402	C₂²×D₄	—	3	1	no	—
403	C₂²×D₄	—	3	1	no	—
404	C₂²×D₄	—	3	1	no	—
405	C₂²×D₄	—	3	1	no	—
406	C₂²×D₄	—	3	1	no	—
407	C₂²×D₄	C₂×D₃	1	1	yes	characteristic, complemented
408	#127	—	3	1	no	—
409	#127	—	3	1	no	—
410	#127	—	3	1	no	—
411	#127	—	3	1	no	—
412	#126	—	3	1	no	—
413	#126	—	3	1	no	—
414	#126	—	3	1	no	—
415	#126	—	3	1	no	—
416	#126	—	3	1	no	—
417	#126	—	3	1	no	—
418	#126	—	3	1	no	—
419	#126	—	3	1	no	—
420	#124	—	3	1	no	—
421	#124	—	3	1	no	—
422	#124	—	3	1	no	—
423	#124	—	3	1	no	—
424	#124	—	3	1	no	—
425	#124	—	3	1	no	—
426	#124	—	3	1	no	—
427	#124	—	3	1	no	—
428	#124	—	3	1	no	—
429	#124	—	3	1	no	—
430	#124	—	3	1	no	—
431	#124	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
447	#123	—	3	1	no	—
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	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
468	#121	—	3	1	no	—
469	#121	—	3	1	no	—
470	#121	—	3	1	no	—
471	#121	—	3	1	no	—
472	#121	—	3	1	no	—
473	#121	—	3	1	no	—
474	#121	—	3	1	no	—
475	#121	—	3	1	no	—
476	#121	—	3	1	no	—
477	#121	—	3	1	no	—
478	#121	—	3	1	no	—
479	#121	—	3	1	no	—
480	#121	—	3	1	no	—
481	#121	—	3	1	no	—
482	#121	—	3	1	no	—
483	#121	C₂×D₃	1	1	yes	characteristic, complemented
484	#121	C₂×D₃	1	1	yes	characteristic, complemented
485	#121	C₂×D₃	1	1	yes	characteristic, complemented
486	#120	—	3	1	no	—
487	#120	—	3	1	no	—
488	#120	—	3	1	no	—
489	#120	—	3	1	no	—
490	#120	—	3	1	no	—
491	#120	—	3	1	no	—
492	#120	—	3	1	no	—
493	#120	—	3	1	no	—
494	#120	—	3	1	no	—
495	#120	—	3	1	no	—
496	#120	—	3	1	no	—
497	#120	—	3	1	no	—
498	#120	—	3	1	no	—
499	#120	—	3	1	no	—
500	#120	—	3	1	no	—
501	#120	—	3	1	no	—
502	#120	—	3	1	no	—
503	#120	—	3	1	no	—
504	#120	—	3	1	no	—
505	#120	—	3	1	no	—
506	#120	—	3	1	no	—
507	#120	—	3	1	no	—
508	#120	—	3	1	no	—
509	#120	—	3	1	no	—
510	#120	—	3	1	no	—
511	#120	—	3	1	no	—
512	#120	—	3	1	no	—
513	#120	—	3	1	no	—
514	#120	—	3	1	no	—
515	#120	—	3	1	no	—
516	#120	—	3	1	no	—
517	#120	—	3	1	no	—
518	#120	C₂×D₃	1	1	yes	characteristic, complemented
519	#120	C₂×D₃	1	1	yes	characteristic, complemented
520	C₄×D₄	—	3	1	no	—
521	C₄×D₄	—	3	1	no	—
522	C₄×D₄	—	3	1	no	—
523	C₄×D₄	—	3	1	no	—
524	C₄×D₄	—	3	1	no	—
525	C₄×D₄	—	3	1	no	—
526	C₄×D₄	—	3	1	no	—
527	C₄×D₄	—	3	1	no	—
528	C₄×D₄	—	3	1	no	—
529	C₄×D₄	—	3	1	no	—
530	C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
531	C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
532	#117	—	3	1	no	—
533	#117	—	3	1	no	—
534	#117	—	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	—	3	1	no	—
543	C₂×C₂²⋊C₄	—	3	1	no	—
544	C₂×C₂²⋊C₄	—	3	1	no	—
545	C₂×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
546	C₂×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
547	C₂³×C₃	—	2	2	no	—
548	C₂³×C₃	—	2	2	no	—
549	C₂³×C₃	—	2	2	no	—
550	C₂³×C₃	—	4	1	no	—
551	C₂³×C₃	—	4	1	no	—
552	C₂³×C₃	—	4	1	no	—
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	C₂³×C₃	C₂⁴	1	1	yes	characteristic
557	C₂³×C₃	C₂⁴	1	1	yes	characteristic
558	C₂³×C₃	C₂⁴	1	1	yes	characteristic
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	—	2	2	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	1	no	—
577	C₂²×D₃	—	4	1	no	—
578	C₂²×D₃	—	4	1	no	—
579	C₂²×D₃	—	4	1	no	—
580	C₂²×D₃	—	4	1	no	—
581	C₂²×D₃	—	4	1	no	—
582	C₂²×D₃	—	4	1	no	—
583	C₂²×D₃	—	4	1	no	—
584	C₂²×D₃	—	4	1	no	—
585	C₂²×D₃	—	4	1	no	—
586	C₂²×D₃	—	4	16	no	—
587	C₂²×D₃	C₂⁴	1	1	yes	characteristic
588	C₂²×D₃	C₂⁴	1	1	yes	characteristic
589	C₂²×D₃	C₂⁴	1	1	yes	characteristic
590	C₂²×D₃	C₂⁴	1	1	yes	characteristic
591	C₂²×D₃	C₂⁴	1	1	yes	characteristic
592	C₂²×D₃	C₂⁴	1	1	yes	characteristic
593	C₂²×D₃	C₂⁴	1	1	yes	characteristic
594	C₃×Q₈	—	4	1	no	—
595	C₃×D₄	—	2	2	no	—
596	C₃×D₄	—	2	2	no	—
597	C₃×D₄	—	2	2	no	—
598	C₃×D₄	—	2	2	no	—
599	C₃×D₄	—	4	1	no	—
600	C₃×D₄	—	4	1	no	—
601	C₃×D₄	—	4	1	no	—
602	C₃×D₄	—	4	1	no	—
603	C₃×D₄	—	4	1	no	—
604	C₂×C₃×C₄	—	2	2	no	—
605	C₂×C₃×C₄	—	4	1	no	—
606	C₂×C₃×C₄	—	4	1	no	—
607	C₂×C₃×C₄	—	4	1	no	—
608	C₂×C₃×C₄	—	4	1	no	—
609	C₂×C₃×C₄	—	4	1	no	—
610	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
611	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
612	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
613	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
614	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
615	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
616	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
617	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
618	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
619	#67	—	2	2	no	—
620	#67	—	2	2	no	—
621	#67	—	2	2	no	—
622	#67	—	2	2	no	—
623	#67	—	2	2	no	—
624	#67	—	2	2	no	—
625	#67	—	4	1	no	—
626	#67	—	4	1	no	—
627	#67	—	4	1	no	—
628	#67	—	4	1	no	—
629	#67	—	4	1	no	—
630	#67	—	4	1	no	—
631	#67	—	4	1	no	—
632	#67	—	4	1	no	—
633	#67	—	4	1	no	—
634	#67	—	4	1	no	—
635	#67	—	4	1	no	—
636	#67	—	4	1	no	—
637	#67	—	4	1	no	—
638	#67	—	4	1	no	—
639	#67	—	4	1	no	—
640	#67	—	4	1	no	—
641	#67	—	4	1	no	—
642	#67	—	4	1	no	—
643	C₂×Dic₃	—	2	2	no	—
644	C₂×Dic₃	—	4	1	no	—
645	C₂×Dic₃	—	4	1	no	—
646	C₂×Dic₃	—	4	1	no	—
647	C₂×Dic₃	—	4	1	no	—
648	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
649	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
650	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
651	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
652	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
653	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
654	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
655	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
656	C₂×Dic₃	C₂⁴	1	1	yes	characteristic
657	D₁₂	—	2	2	no	—
658	D₁₂	—	2	2	no	—
659	D₁₂	—	4	1	no	—
660	D₁₂	—	4	1	no	—
661	D₁₂	—	4	1	no	—
662	D₁₂	—	4	1	no	—
663	D₁₂	—	4	1	no	—
664	D₁₂	—	4	1	no	—
665	D₁₂	—	4	1	no	—
666	D₁₂	—	4	1	no	—
667	D₁₂	—	4	1	no	—
668	D₁₂	—	4	1	no	—
669	C₄×D₃	—	2	2	no	—
670	C₄×D₃	—	4	1	no	—
671	C₄×D₃	—	4	1	no	—
672	C₄×D₃	—	4	1	no	—
673	C₄×D₃	—	4	1	no	—
674	C₄×D₃	—	4	1	no	—
675	C₄×D₃	—	4	1	no	—
676	Dic₆	—	4	1	no	—
677	Dic₆	—	4	1	no	—
678	C₂⁴	—	3	1	no	—
679	C₂⁴	—	3	1	no	—
680	C₂⁴	—	3	1	no	—
681	C₂⁴	—	3	1	no	—
682	C₂⁴	—	3	1	no	—
683	C₂⁴	—	3	1	no	—
684	C₂⁴	—	3	1	no	—
685	C₂⁴	—	3	1	no	—
686	C₂⁴	—	3	1	no	—
687	C₂⁴	—	12	2	no	—
688	C₂⁴	—	12	2	no	—
689	C₂⁴	—	12	2	no	—
690	C₂⁴	C₂²×D₃	1	1	yes	characteristic
691	C₂⁴	C₂²×D₃	1	1	yes	characteristic
692	#41	—	4	2	no	—
693	#41	—	12	2	no	—
694	#41	—	12	2	no	—
695	C₂×Q₈	—	3	1	no	—
696	C₂×Q₈	—	3	1	no	—
697	C₂×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
698	C₂×D₄	—	3	1	no	—
699	C₂×D₄	—	3	1	no	—
700	C₂×D₄	—	3	1	no	—
701	C₂×D₄	—	3	1	no	—
702	C₂×D₄	—	3	1	no	—
703	C₂×D₄	—	3	1	no	—
704	C₂×D₄	—	3	1	no	—
705	C₂×D₄	—	3	1	no	—
706	C₂×D₄	—	3	1	no	—
707	C₂×D₄	—	3	1	no	—
708	C₂×D₄	—	3	1	no	—
709	C₂×D₄	—	3	1	no	—
710	C₂×D₄	—	3	1	no	—
711	C₂×D₄	—	3	1	no	—
712	C₂×D₄	—	3	1	no	—
713	C₂×D₄	—	3	1	no	—
714	C₂×D₄	—	3	1	no	—
715	C₂×D₄	—	3	1	no	—
716	C₂×D₄	—	3	1	no	—
717	C₂×D₄	—	3	1	no	—
718	C₂×D₄	—	3	1	no	—
719	C₂×D₄	—	3	1	no	—
720	C₂×D₄	—	3	1	no	—
721	C₂×D₄	—	3	1	no	—
722	C₂×D₄	—	3	1	no	—
723	C₂×D₄	—	3	1	no	—
724	C₂×D₄	—	3	1	no	—
725	C₂×D₄	—	3	1	no	—
726	C₂×D₄	—	3	1	no	—
727	C₂×D₄	—	3	1	no	—
728	C₂×D₄	—	3	1	no	—
729	C₂×D₄	—	3	1	no	—
730	C₂×D₄	—	3	1	no	—
731	C₂×D₄	—	3	1	no	—
732	C₂×D₄	—	3	1	no	—
733	C₂×D₄	—	3	1	no	—
734	C₂×D₄	—	4	2	no	—
735	C₂×D₄	—	12	2	no	—
736	C₂×D₄	—	12	2	no	—
737	C₂×D₄	—	12	2	no	—
738	C₂×D₄	—	12	2	no	—
739	C₂×D₄	—	12	2	no	—
740	C₂×D₄	—	12	2	no	—
741	C₂×D₄	—	12	2	no	—
742	C₂×D₄	—	12	2	no	—
743	C₂×D₄	—	12	2	no	—
744	C₂×D₄	—	12	2	no	—
745	C₂×D₄	—	12	2	no	—
746	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
747	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
748	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
749	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
750	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
751	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
752	C₂×D₄	C₂²×D₃	1	1	yes	characteristic
753	C₂×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
754	C₂×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
755	C₂²×C₄	—	3	1	no	—
756	C₂²×C₄	—	3	1	no	—
757	C₂²×C₄	—	3	1	no	—
758	C₂²×C₄	—	3	1	no	—
759	C₂²×C₄	—	3	1	no	—
760	C₂²×C₄	—	3	1	no	—
761	C₂²×C₄	—	3	1	no	—
762	C₂²×C₄	—	3	1	no	—
763	C₂²×C₄	—	3	1	no	—
764	C₂²×C₄	—	3	1	no	—
765	C₂²×C₄	—	3	1	no	—
766	C₂²×C₄	—	3	1	no	—
767	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
768	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
769	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic
770	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
771	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
772	C₂²×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
773	C₄⋊C₄	—	3	1	no	—
774	C₄⋊C₄	—	3	1	no	—
775	C₄⋊C₄	—	3	1	no	—
776	C₄⋊C₄	—	3	1	no	—
777	C₄⋊C₄	—	3	1	no	—
778	C₄⋊C₄	—	3	1	no	—
779	C₄⋊C₄	—	3	1	no	—
780	C₄⋊C₄	—	3	1	no	—
781	C₄⋊C₄	—	3	1	no	—
782	C₄⋊C₄	—	3	1	no	—
783	C₄⋊C₄	—	3	1	no	—
784	C₄⋊C₄	—	3	1	no	—
785	C₄⋊C₄	—	3	1	no	—
786	C₄⋊C₄	—	3	1	no	—
787	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
788	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
789	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
790	C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
812	C₂²⋊C₄	—	3	1	no	—
813	C₂²⋊C₄	—	3	1	no	—
814	C₂²⋊C₄	—	3	1	no	—
815	C₂²⋊C₄	—	3	1	no	—
816	C₂²⋊C₄	—	3	1	no	—
817	C₂²⋊C₄	—	3	1	no	—
818	C₂²⋊C₄	—	3	1	no	—
819	C₂²⋊C₄	—	3	1	no	—
820	C₂²⋊C₄	—	3	1	no	—
821	C₂²⋊C₄	—	3	1	no	—
822	C₂²⋊C₄	—	3	1	no	—
823	C₂²⋊C₄	—	3	1	no	—
824	C₂²⋊C₄	—	3	1	no	—
825	C₂²⋊C₄	—	3	1	no	—
826	C₂²⋊C₄	—	3	1	no	—
827	C₂²⋊C₄	—	3	1	no	—
828	C₂²⋊C₄	—	3	1	no	—
829	C₂²⋊C₄	—	3	1	no	—
830	C₂²⋊C₄	—	3	1	no	—
831	C₂²⋊C₄	—	3	1	no	—
832	C₂²⋊C₄	—	3	1	no	—
833	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
834	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
835	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
836	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
837	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
838	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
839	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
840	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
841	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
842	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
843	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
844	C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
845	C₄²	—	3	1	no	—
846	C₄²	—	3	1	no	—
847	C₄²	—	3	1	no	—
848	C₄²	—	3	1	no	—
849	C₄²	—	3	1	no	—
850	C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
851	C₂²×C₃	—	2	1	no	—
852	C₂²×C₃	—	2	1	no	—
853	C₂²×C₃	—	2	1	no	—
854	C₂²×C₃	—	2	1	no	—
855	C₂²×C₃	—	2	1	no	—
856	C₂²×C₃	—	2	1	no	—
857	C₂²×C₃	—	2	1	no	—
858	C₂²×C₃	—	2	1	no	—
859	C₂²×C₃	—	2	1	no	—
860	C₂²×C₃	—	2	1	no	—
861	C₂²×C₃	—	2	1	no	—
862	C₂²×C₃	—	2	1	no	—
863	C₂²×C₃	—	2	1	no	—
864	C₂²×C₃	—	2	1	no	—
865	C₂²×C₃	—	2	1	no	—
866	C₂²×C₃	—	2	1	no	—
867	C₂²×C₃	—	4	4	no	—
868	C₂²×C₃	—	8	2	no	—
869	C₂²×C₃	H(5,𝔽₂)	1	2	yes	—
870	C₂²×C₃	H(5,𝔽₂)	1	2	yes	—
871	C₂²×C₃	C₂⁵	1	1	yes	characteristic
872	C₂×D₃	—	2	1	no	—
873	C₂×D₃	—	2	1	no	—
874	C₂×D₃	—	2	1	no	—
875	C₂×D₃	—	2	1	no	—
876	C₂×D₃	—	2	1	no	—
877	C₂×D₃	—	2	1	no	—
878	C₂×D₃	—	2	1	no	—
879	C₂×D₃	—	2	1	no	—
880	C₂×D₃	—	2	1	no	—
881	C₂×D₃	—	2	1	no	—
882	C₂×D₃	—	2	1	no	—
883	C₂×D₃	—	2	1	no	—
884	C₂×D₃	—	2	1	no	—
885	C₂×D₃	—	2	1	no	—
886	C₂×D₃	—	2	1	no	—
887	C₂×D₃	—	2	1	no	—
888	C₂×D₃	—	2	1	no	—
889	C₂×D₃	—	2	1	no	—
890	C₂×D₃	—	2	1	no	—
891	C₂×D₃	—	2	1	no	—
892	C₂×D₃	—	4	4	no	—
893	C₂×D₃	—	4	4	no	—
894	C₂×D₃	—	4	4	no	—
895	C₂×D₃	—	4	4	no	—
896	C₂×D₃	—	4	4	no	—
897	C₂×D₃	—	4	4	no	—
898	C₂×D₃	—	8	2	no	—
899	C₂×D₃	—	8	2	no	—
900	C₂×D₃	—	8	2	no	—
901	C₂×D₃	H(5,𝔽₂)	1	2	yes	—
902	C₃×C₄	—	2	1	no	—
903	C₃×C₄	—	2	1	no	—
904	C₃×C₄	—	2	1	no	—
905	C₃×C₄	—	2	1	no	—
906	C₃×C₄	—	2	1	no	—
907	C₃×C₄	—	2	1	no	—
908	C₃×C₄	—	2	1	no	—
909	C₃×C₄	—	2	1	no	—
910	C₃×C₄	—	2	1	no	—
911	Dic₃	—	2	1	no	—
912	Dic₃	—	2	1	no	—
913	Dic₃	—	2	1	no	—
914	Dic₃	—	2	1	no	—
915	Dic₃	—	2	1	no	—
916	Dic₃	—	2	1	no	—
917	Dic₃	—	2	1	no	—
918	Dic₃	—	2	1	no	—
919	Dic₃	—	2	1	no	—
920	C₂³	—	2	2	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	3	1	no	—
924	C₂³	—	3	1	no	—
925	C₂³	—	3	1	no	—
926	C₂³	—	3	1	no	—
927	C₂³	—	3	1	no	—
928	C₂³	—	3	1	no	—
929	C₂³	—	3	1	no	—
930	C₂³	—	4	1	no	—
931	C₂³	—	4	1	no	—
932	C₂³	—	4	1	no	—
933	C₂³	—	6	2	no	—
934	C₂³	—	6	2	no	—
935	C₂³	—	6	2	no	—
936	C₂³	—	6	2	no	—
937	C₂³	—	6	2	no	—
938	C₂³	—	6	2	no	—
939	C₂³	—	6	2	no	—
940	C₂³	—	6	2	no	—
941	C₂³	—	6	2	no	—
942	C₂³	—	12	1	no	—
943	C₂³	—	12	1	no	—
944	C₂³	—	12	1	no	—
945	C₂³	—	12	1	no	—
946	C₂³	—	12	1	no	—
947	C₂³	—	12	1	no	—
948	C₂³	—	12	1	no	—
949	C₂³	—	12	1	no	—
950	C₂³	—	12	1	no	—
951	C₂³	—	12	1	no	—
952	C₂³	—	12	1	no	—
953	C₂³	—	12	1	no	—
954	C₂³	—	12	1	no	—
955	C₂³	—	12	1	no	—
956	C₂³	—	12	1	no	—
957	C₂³	—	12	1	no	—
958	C₂³	—	12	1	no	—
959	C₂³	—	12	1	no	—
960	C₂³	—	12	16	no	—
961	C₂³	C₂³×D₃	1	1	yes	characteristic
962	C₂³	C₂³×D₃	1	1	yes	characteristic
963	C₂³	C₂³×D₃	1	1	yes	characteristic
964	C₂³	C₂³×D₃	1	1	yes	characteristic
965	C₂³	C₂³×D₃	1	1	yes	characteristic
966	C₂³	C₂³×D₃	1	1	yes	characteristic
967	Q₈	—	4	1	no	—
968	Q₈	—	12	1	no	—
969	Q₈	—	12	1	no	—
970	D₄	—	2	2	no	—
971	D₄	—	2	2	no	—
972	D₄	—	2	2	no	—
973	D₄	—	2	2	no	—
974	D₄	—	4	1	no	—
975	D₄	—	4	1	no	—
976	D₄	—	4	1	no	—
977	D₄	—	4	1	no	—
978	D₄	—	4	1	no	—
979	D₄	—	6	2	no	—
980	D₄	—	6	2	no	—
981	D₄	—	6	2	no	—
982	D₄	—	6	2	no	—
983	D₄	—	6	2	no	—
984	D₄	—	6	2	no	—
985	D₄	—	6	2	no	—
986	D₄	—	6	2	no	—
987	D₄	—	12	1	no	—
988	D₄	—	12	1	no	—
989	D₄	—	12	1	no	—
990	D₄	—	12	1	no	—
991	D₄	—	12	1	no	—
992	D₄	—	12	1	no	—
993	D₄	—	12	1	no	—
994	D₄	—	12	1	no	—
995	D₄	—	12	1	no	—
996	D₄	—	12	1	no	—
997	D₄	—	12	1	no	—
998	D₄	—	12	1	no	—
999	D₄	—	12	1	no	—
1000	D₄	—	12	1	no	—
1001	D₄	—	12	1	no	—
1002	D₄	—	12	1	no	—
1003	D₄	—	12	1	no	—
1004	D₄	—	12	1	no	—
1005	D₄	—	12	1	no	—
1006	D₄	—	12	1	no	—
1007	D₄	—	12	1	no	—
1008	D₄	—	12	1	no	—
1009	D₄	—	12	1	no	—
1010	D₄	—	12	1	no	—
1011	D₄	—	12	1	no	—
1012	D₄	—	12	1	no	—
1013	D₄	—	12	1	no	—
1014	D₄	—	12	1	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	3	1	no	—
1017	C₂×C₄	—	3	1	no	—
1018	C₂×C₄	—	3	1	no	—
1019	C₂×C₄	—	3	1	no	—
1020	C₂×C₄	—	3	1	no	—
1021	C₂×C₄	—	3	1	no	—
1022	C₂×C₄	—	3	1	no	—
1023	C₂×C₄	—	3	1	no	—
1024	C₂×C₄	—	3	1	no	—
1025	C₂×C₄	—	4	1	no	—
1026	C₂×C₄	—	4	1	no	—
1027	C₂×C₄	—	4	1	no	—
1028	C₂×C₄	—	4	1	no	—
1029	C₂×C₄	—	4	1	no	—
1030	C₂×C₄	—	6	2	no	—
1031	C₂×C₄	—	6	2	no	—
1032	C₂×C₄	—	12	1	no	—
1033	C₂×C₄	—	12	1	no	—
1034	C₂×C₄	—	12	1	no	—
1035	C₂×C₄	—	12	1	no	—
1036	C₂×C₄	—	12	1	no	—
1037	C₂×C₄	—	12	1	no	—
1038	C₂×C₄	—	12	1	no	—
1039	C₂×C₄	—	12	1	no	—
1040	C₂×C₄	—	12	1	no	—
1041	C₂×C₄	—	12	1	no	—
1042	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1043	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1044	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1045	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1046	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1047	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1048	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1049	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1050	C₂×C₄	C₂³×D₃	1	1	yes	characteristic
1051	C₂×C₃	—	2	2	no	—
1052	C₂×C₃	—	2	2	no	—
1053	C₂×C₃	—	4	1	no	—
1054	C₂×C₃	—	4	1	no	—
1055	C₂×C₃	—	4	1	no	—
1056	C₂×C₃	—	4	1	no	—
1057	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1058	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1059	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1060	D₃	—	2	2	no	—
1061	D₃	—	4	1	no	—
1062	D₃	—	4	1	no	—
1063	D₃	—	4	1	no	—
1064	D₃	—	4	1	no	—
1065	D₃	—	4	1	no	—
1066	D₃	—	4	1	no	—
1067	C₂²	—	2	1	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	3	2	no	—
1084	C₂²	—	4	4	no	—
1085	C₂²	—	6	1	no	—
1086	C₂²	—	6	1	no	—
1087	C₂²	—	6	1	no	—
1088	C₂²	—	6	1	no	—
1089	C₂²	—	6	1	no	—
1090	C₂²	—	6	1	no	—
1091	C₂²	—	6	1	no	—
1092	C₂²	—	6	1	no	—
1093	C₂²	—	6	1	no	—
1094	C₂²	—	6	1	no	—
1095	C₂²	—	6	1	no	—
1096	C₂²	—	6	1	no	—
1097	C₂²	—	6	1	no	—
1098	C₂²	—	6	1	no	—
1099	C₂²	—	6	1	no	—
1100	C₂²	—	6	1	no	—
1101	C₂²	—	6	1	no	—
1102	C₂²	—	6	1	no	—
1103	C₂²	—	6	1	no	—
1104	C₂²	—	6	1	no	—
1105	C₂²	—	8	2	no	—
1106	C₂²	—	12	4	no	—
1107	C₂²	—	12	4	no	—
1108	C₂²	—	12	4	no	—
1109	C₂²	—	12	4	no	—
1110	C₂²	—	12	4	no	—
1111	C₂²	—	12	4	no	—
1112	C₂²	—	24	2	no	—
1113	C₂²	—	24	2	no	—
1114	C₂²	—	24	2	no	—
1115	C₂²	#1004	1	2	yes	—
1116	C₂²	#1009	1	2	yes	—
1117	C₂²	C₂⁴×D₃	1	1	yes	characteristic
1118	C₄	—	2	1	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	6	1	no	—
1128	C₄	—	6	1	no	—
1129	C₄	—	6	1	no	—
1130	C₄	—	6	1	no	—
1131	C₄	—	6	1	no	—
1132	C₄	—	6	1	no	—
1133	C₄	—	6	1	no	—
1134	C₄	—	6	1	no	—
1135	C₄	—	6	1	no	—
1136	C₃	#3532	1	1	yes	characteristic, complemented, Sylow
1137	C₂	—	2	2	no	—
1138	C₂	—	2	2	no	—
1139	C₂	—	4	1	no	—
1140	C₂	—	4	1	no	—
1141	C₂	—	4	1	no	—
1142	C₂	—	4	1	no	—
1143	C₂	—	6	2	no	—
1144	C₂	—	12	1	no	—
1145	C₂	—	12	1	no	—
1146	C₂	—	12	1	no	—
1147	C₂	—	12	1	no	—
1148	C₂	—	12	1	no	—
1149	C₂	—	12	1	no	—
1150	C₂	C₂×#1004	1	1	yes	characteristic
1151	C₂	C₂×#1009	1	1	yes	characteristic
1152	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	#3532
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. #5830	C₂	semidirect
3. #5829	C₂	semidirect
4. D₄×#67	C₂	semidirect
5. C₂×#937	C₂	semidirect
6. #5683	C₂	semidirect
7. #5678	C₂	semidirect
8. #5666	C₂	semidirect
9. #5658	C₂	semidirect
10. #5657	C₂	semidirect
11. #5653	C₂	semidirect
12. #5644	C₂	semidirect
13. #5637	C₂	semidirect
14. #5620	C₂	semidirect
15. #5620	C₂	semidirect
16. #5617	C₂	semidirect
17. #5609	C₂	semidirect
18. #5607	C₂	semidirect
19. #5605	C₂	semidirect
20. #5592	C₂	semidirect
21. #5591	C₂	semidirect
22. #5590	C₂	semidirect
23. D₃×#120	C₂	semidirect
24. #5560	C₂	semidirect
25. #5560	C₂	semidirect
26. #5554	C₂	semidirect
27. #5550	C₂	semidirect
28. #5495	C₂	semidirect
29. #5493	C₂	semidirect
30. #5490	C₂	semidirect
31. C₂×#882	C₂	semidirect
33. C₂⁴×D₃	C₂²	semidirect
34. C₂×C₃×#41	C₂²	semidirect
35. C₂²×C₃×D₄	C₂²	semidirect
36. C₂²×#67	C₂²	semidirect
37. C₂²×#67	C₂²	semidirect
38. C₂²×#67	C₂²	semidirect
39. C₂²×#67	C₂²	semidirect
40. C₂×#237	C₂²	semidirect
41. C₂×D₃×D₄	C₂²	semidirect
42. C₂×D₃×D₄	C₂²	semidirect
43. C₂×D₃×D₄	C₂²	semidirect
44. C₂×D₃×D₄	C₂²	semidirect
45. C₂×D₃×D₄	C₂²	semidirect
46. C₂×#235	C₂²	semidirect
47. C₂²×D₁₂	C₂²	semidirect
48. C₂²×D₁₂	C₂²	semidirect
49. C₃×#124	C₂²	semidirect
50. C₃×#123	C₂²	semidirect
51. C₃×#123	C₂²	semidirect
52. C₃×C₂²⋊Q₈	C₂²	semidirect
53. C₃×#121	C₂²	semidirect
54. C₃×#121	C₂²	semidirect
55. C₃×#121	C₂²	semidirect
56. C₃×#120	C₂²	semidirect
57. C₃×#120	C₂²	semidirect
58. C₃×C₄×D₄	C₂²	semidirect
59. C₃×C₄×D₄	C₂²	semidirect
60. C₂×C₃×C₂²⋊C₄	C₂²	semidirect
61. C₂×C₃×C₂²⋊C₄	C₂²	semidirect
63. #953	C₂²	semidirect
64. C₂×#217	C₂²	semidirect
65. #947	C₂²	semidirect
66. #947	C₂²	semidirect
67. #947	C₂²	semidirect
68. #946	C₂²	semidirect
69. #940	C₂²	semidirect
70. #940	C₂²	semidirect
71. #940	C₂²	semidirect
72. #940	C₂²	semidirect
73. #939	C₂²	semidirect
74. #939	C₂²	semidirect
75. #939	C₂²	semidirect
76. #939	C₂²	semidirect
77. #939	C₂²	semidirect
78. #939	C₂²	semidirect
79. #939	C₂²	semidirect
80. #938	C₂²	semidirect
81. #938	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. #937	C₂²	semidirect
90. #937	C₂²	semidirect
91. #937	C₂²	semidirect
92. #937	C₂²	semidirect
93. #937	C₂²	semidirect
94. #937	C₂²	semidirect
95. #937	C₂²	semidirect
96. #937	C₂²	semidirect
97. D₄×Dic₃	C₂²	semidirect
98. D₄×Dic₃	C₂²	semidirect
99. #930	C₂²	semidirect
100. #930	C₂²	semidirect
101. #930	C₂²	semidirect
102. #930	C₂²	semidirect
103. #930	C₂²	semidirect
104. #930	C₂²	semidirect
105. #930	C₂²	semidirect
106. #930	C₂²	semidirect
107. #929	C₂²	semidirect
108. #929	C₂²	semidirect
109. #929	C₂²	semidirect
110. C₄×#67	C₂²	semidirect
111. C₄×#67	C₂²	semidirect
112. 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. C₂×(C₂×D₃)⋊C₄	C₂²	semidirect
118. #926	C₂²	semidirect
119. #924	C₂²	semidirect
120. #898	C₂²	semidirect
121. #898	C₂²	semidirect
122. #898	C₂²	semidirect
123. #898	C₂²	semidirect
124. #898	C₂²	semidirect
125. #897	C₂²	semidirect
126. #895	C₂²	semidirect
127. #895	C₂²	semidirect
128. #895	C₂²	semidirect
129. #894	C₂²	semidirect
130. #894	C₂²	semidirect
131. #894	C₂²	semidirect
132. #894	C₂²	semidirect
133. #894	C₂²	semidirect
134. #893	C₂²	semidirect
135. #892	C₂²	semidirect
136. #886	C₂²	semidirect
137. #886	C₂²	semidirect
138. #886	C₂²	semidirect
139. #886	C₂²	semidirect
140. #886	C₂²	semidirect
141. #885	C₂²	semidirect
142. #885	C₂²	semidirect
143. #885	C₂²	semidirect
144. #885	C₂²	semidirect
145. #885	C₂²	semidirect
146. #885	C₂²	semidirect
147. #884	C₂²	semidirect
148. #884	C₂²	semidirect
149. #884	C₂²	semidirect
150. #884	C₂²	semidirect
151. #884	C₂²	semidirect
152. #884	C₂²	semidirect
153. #884	C₂²	semidirect
154. #883	C₂²	semidirect
155. #883	C₂²	semidirect
156. #883	C₂²	semidirect
158. #882	C₂²	semidirect
159. #882	C₂²	semidirect
160. #882	C₂²	semidirect
161. #882	C₂²	semidirect
162. #882	C₂²	semidirect
163. #882	C₂²	semidirect
164. #882	C₂²	semidirect
165. #882	C₂²	semidirect
166. #882	C₂²	semidirect
167. #882	C₂²	semidirect
168. #882	C₂²	semidirect
169. #882	C₂²	semidirect
170. #882	C₂²	semidirect
171. #882	C₂²	semidirect
172. #67⋊C₄	C₂²	semidirect
173. #67⋊C₄	C₂²	semidirect
174. #67⋊C₄	C₂²	semidirect
175. D₃×C₂²⋊C₄	C₂²	semidirect
176. D₃×C₂²⋊C₄	C₂²	semidirect
177. D₃×C₂²⋊C₄	C₂²	semidirect
178. D₃×C₂²⋊C₄	C₂²	semidirect
179. #879	C₂²	semidirect
180. #879	C₂²	semidirect
181. #878	C₂²	semidirect
182. #878	C₂²	semidirect
183. #877	C₂²	semidirect
184. #876	C₂²	semidirect
185. #875	C₂²	semidirect
186. #875	C₂²	semidirect
187. C₄×D₁₂	C₂²	semidirect
200. #546	D₃	semidirect
232. C₂³×D₃	C₂³	semidirect
234. C₂×C₃×Q₈	C₂³	semidirect
243. C₂×C₃×D₄	C₂³	semidirect
244. C₂×C₃×D₄	C₂³	semidirect
248. C₂²×C₃×C₄	C₂³	semidirect
249. C₂²×C₃×C₄	C₂³	semidirect
250. C₂²×C₃×C₄	C₂³	semidirect
273. C₂×#67	C₂³	semidirect
274. C₂×#67	C₂³	semidirect
275. C₂×#67	C₂³	semidirect
276. C₂×#67	C₂³	semidirect
277. C₂×#67	C₂³	semidirect
278. C₂×#67	C₂³	semidirect
282. C₂²×Dic₃	C₂³	semidirect
283. C₂²×Dic₃	C₂³	semidirect
304. C₂×D₁₂	C₂³	semidirect
308. C₂×C₄×D₃	C₂³	semidirect
309. C₂×C₄×D₃	C₂³	semidirect
310. C₂×C₄×D₃	C₂³	semidirect
311. C₂×C₄×D₃	C₂³	semidirect
312. C₂×Dic₆	C₂³	semidirect
313. C₂×Dic₆	C₂³	semidirect
314. C₃×C₄⋊C₄	C₂³	semidirect
315. C₃×C₄⋊C₄	C₂³	semidirect
316. C₃×C₄⋊C₄	C₂³	semidirect
317. C₃×C₄⋊C₄	C₂³	semidirect
325. C₃×C₂²⋊C₄	C₂³	semidirect
326. C₃×C₂²⋊C₄	C₂³	semidirect
327. C₃×C₂²⋊C₄	C₂³	semidirect
328. C₃×C₂²⋊C₄	C₂³	semidirect
329. C₃×C₂²⋊C₄	C₂³	semidirect
330. C₃×C₄²	C₂³	semidirect
338. #217	C₂³	semidirect
339. #217	C₂³	semidirect
340. #217	C₂³	semidirect
363. (C₂×D₃)⋊C₄	C₂³	semidirect
364. (C₂×D₃)⋊C₄	C₂³	semidirect
365. (C₂×D₃)⋊C₄	C₂³	semidirect
366. (C₂×D₃)⋊C₄	C₂³	semidirect
367. (C₂×D₃)⋊C₄	C₂³	semidirect
368. (C₂×D₃)⋊C₄	C₂³	semidirect
369. (C₂×D₃)⋊C₄	C₂³	semidirect
370. (C₂×D₃)⋊C₄	C₂³	semidirect
371. (C₂×D₃)⋊C₄	C₂³	semidirect
372. (C₂×D₃)⋊C₄	C₂³	semidirect
373. C₄⋊Dic₃	C₂³	semidirect
374. C₄⋊Dic₃	C₂³	semidirect
375. C₄⋊Dic₃	C₂³	semidirect
376. C₄⋊Dic₃	C₂³	semidirect
377. C₄⋊Dic₃	C₂³	semidirect
378. C₄⋊Dic₃	C₂³	semidirect
379. Dic₃⋊C₄	C₂³	semidirect
380. Dic₃⋊C₄	C₂³	semidirect
381. Dic₃⋊C₄	C₂³	semidirect
382. Dic₃⋊C₄	C₂³	semidirect
383. Dic₃⋊C₄	C₂³	semidirect
384. Dic₃⋊C₄	C₂³	semidirect
385. Dic₃⋊C₄	C₂³	semidirect
386. Dic₃⋊C₄	C₂³	semidirect
387. C₄×Dic₃	C₂³	semidirect
388. C₄×Dic₃	C₂³	semidirect
389. C₄×Dic₃	C₂³	semidirect
390. C₄×Dic₃	C₂³	semidirect
391. C₄×Dic₃	C₂³	semidirect
395. C₂×#41	C₂×D₃	semidirect
407. C₂²×D₄	C₂×D₃	semidirect
431. #124	C₂×D₃	semidirect
448. #123	C₂×D₃	semidirect
449. #123	C₂×D₃	semidirect
455. C₂²⋊Q₈	C₂×D₃	semidirect
483. #121	C₂×D₃	semidirect
484. #121	C₂×D₃	semidirect
485. #121	C₂×D₃	semidirect
518. #120	C₂×D₃	semidirect
519. #120	C₂×D₃	semidirect
530. C₄×D₄	C₂×D₃	semidirect
531. C₄×D₄	C₂×D₃	semidirect
545. C₂×C₂²⋊C₄	C₂×D₃	semidirect
546. C₂×C₂²⋊C₄	C₂×D₃	semidirect
697. C₂×Q₈	C₂²×D₃	semidirect
753. C₂×D₄	C₂²×D₃	semidirect
754. C₂×D₄	C₂²×D₃	semidirect
770. C₂²×C₄	C₂²×D₃	semidirect
771. C₂²×C₄	C₂²×D₃	semidirect
772. C₂²×C₄	C₂²×D₃	semidirect
787. C₄⋊C₄	C₂²×D₃	semidirect
788. C₄⋊C₄	C₂²×D₃	semidirect
789. C₄⋊C₄	C₂²×D₃	semidirect
790. C₄⋊C₄	C₂²×D₃	semidirect
840. C₂²⋊C₄	C₂²×D₃	semidirect
841. C₂²⋊C₄	C₂²×D₃	semidirect
842. C₂²⋊C₄	C₂²×D₃	semidirect
843. C₂²⋊C₄	C₂²×D₃	semidirect
844. C₂²⋊C₄	C₂²×D₃	semidirect
850. C₄²	C₂²×D₃	semidirect
1136. C₃	#3532	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
#5830	2
#5829	2
D₄×#67	2
C₂×#937	2
#5683	2
#5678	2
#5666	2
#5658	2
#5657	2
#5653	2
#5644	2
#5637	2
#5620	2
#5617	2
#5609	2
#5607	2
#5605	2
#5592	2
#5591	2
#5590	2
D₃×#120	2
#5560	2
#5554	2
#5550	2
#5495	2
#5493	2
#5490	2
C₂×#882	2
#3532	3