Subgroups — C₃×#63028 #10681635

Order 768.

6634 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3566	C₂	1	8	yes	maximal, complemented
2	C₃×#3565	C₂	1	4	yes	maximal, complemented
3	C₃×#3547	C₂	1	2	yes	maximal, complemented
4	C₃×#3545	C₂	1	4	yes	maximal, complemented
5	C₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3542	C₂	1	4	yes	maximal, complemented
7	C₃×#3540	C₂	1	4	yes	maximal, complemented
8	C₃×#3524	C₂	1	4	yes	maximal, complemented
9	C₃×#3520	C₂	1	2	yes	maximal, complemented
10	C₃×#3518	C₂	1	2	yes	maximal, complemented
11	C₃×#3510	C₂	1	4	yes	maximal, complemented
12	C₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3506	C₂	1	2	yes	maximal, complemented
14	C₃×#3505	C₂	1	4	yes	maximal, complemented
15	C₃×#3495	C₂	1	4	yes	maximal, complemented
16	C₃×#3493	C₂	1	4	yes	maximal, complemented
17	C₃×#3481	C₂	1	2	yes	maximal, complemented
18	C₃×#3475	C₂	1	4	yes	maximal, complemented
19	C₃×#3475	C₂	1	2	yes	maximal, complemented
20	C₂×C₃×#555	C₂	1	1	yes	maximal, characteristic, complemented
21	#63028	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
22	C₃×#563	C₂²	1	4	yes	complemented
23	C₃×#563	C₂²	1	4	yes	complemented
24	C₃×#562	C₂²	1	8	yes	complemented
25	C₃×#562	C₂²	1	8	yes	complemented
26	C₃×H(3,𝔽₄)	C₂²	1	4	yes	complemented
27	C₃×#560	C₂²	1	8	yes	complemented
28	C₃×#559	C₂²	1	2	yes	complemented
29	C₃×#559	C₂²	1	8	yes	complemented
30	C₃×#559	C₂²	1	8	yes	complemented
31	C₃×Q₈²	C₂²	1	1	yes	characteristic, complemented
32	C₃×#557	C₂²	1	4	yes	complemented
33	C₃×#556	C₂²	1	4	yes	complemented
34	C₃×#556	C₂²	1	2	yes	complemented
35	C₃×#556	C₂²	1	4	yes	complemented
36	C₃×#556	C₂²	1	8	yes	complemented
37	C₃×#556	C₂²	1	4	yes	complemented
38	C₃×#556	C₂²	1	4	yes	complemented
39	C₃×#556	C₂²	1	8	yes	complemented
40	C₃×#555	C₂²	1	1	yes	characteristic
41	C₃×#555	C₂²	1	4	yes	complemented
42	C₃×#555	C₂²	1	2	yes	complemented
43	C₃×#555	C₂²	1	4	yes	complemented
44	C₃×#555	C₂²	1	1	yes	characteristic, complemented
45	C₃×#555	C₂²	1	4	yes	complemented
46	C₃×#555	C₂²	1	4	yes	complemented
47	C₃×#555	C₂²	1	4	yes	complemented
48	C₃×#555	C₂²	1	4	yes	complemented
49	C₃×#555	C₂²	1	1	yes	characteristic, complemented
50	C₃×#555	C₂²	1	4	yes	complemented
51	C₃×#554	C₂²	1	4	yes	complemented
52	C₃×#554	C₂²	1	2	yes	complemented
53	C₃×#554	C₂²	1	2	yes	complemented
54	C₃×#554	C₂²	1	2	yes	complemented
55	C₃×#553	C₂²	1	2	yes	—
56	C₃×#553	C₂²	1	4	yes	complemented
57	C₃×#553	C₂²	1	4	yes	complemented
58	C₃×#553	C₂²	1	2	yes	complemented
59	C₃×#553	C₂²	1	4	yes	complemented
60	C₃×#553	C₂²	1	4	yes	complemented
61	C₃×#553	C₂²	1	8	yes	complemented
62	C₃×#553	C₂²	1	4	yes	complemented
63	C₃×#553	C₂²	1	8	yes	complemented
64	C₃×#552	C₂²	1	4	yes	complemented
65	C₃×#552	C₂²	1	4	yes	complemented
66	C₃×#552	C₂²	1	4	yes	complemented
67	C₃×#552	C₂²	1	4	yes	complemented
68	C₃×#552	C₂²	1	8	yes	complemented
69	C₃×#552	C₂²	1	8	yes	complemented
70	C₃×#552	C₂²	1	4	yes	complemented
71	C₃×#552	C₂²	1	4	yes	complemented
72	C₃×#552	C₂²	1	4	yes	complemented
73	C₃×#552	C₂²	1	8	yes	complemented
74	C₃×#551	C₂²	1	8	yes	complemented
75	C₃×#551	C₂²	1	8	yes	complemented
76	C₃×#551	C₂²	1	8	yes	complemented
77	C₃×#551	C₂²	1	4	yes	complemented
78	C₃×#551	C₂²	1	4	yes	complemented
79	C₃×#551	C₂²	1	8	yes	complemented
80	C₃×#551	C₂²	1	8	yes	complemented
81	C₃×#551	C₂²	1	8	yes	complemented
82	C₃×#550	C₂²	1	4	yes	complemented
83	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
84	C₃×#548	C₂²	1	4	yes	complemented
85	C₃×#548	C₂²	1	4	yes	complemented
86	C₃×#548	C₂²	1	4	yes	complemented
87	C₃×#547	C₂²	1	2	yes	complemented
88	C₃×#547	C₂²	1	4	yes	complemented
89	C₃×#547	C₂²	1	2	yes	complemented
90	C₃×#546	C₂²	1	2	yes	—
91	C₃×#546	C₂²	1	4	yes	—
92	C₃×#546	C₂²	1	4	yes	complemented
93	C₃×#546	C₂²	1	8	yes	complemented
94	C₃×#546	C₂²	1	2	yes	complemented
95	C₃×#546	C₂²	1	4	yes	complemented
96	C₃×D₄²	C₂²	1	2	yes	complemented
97	C₃×#544	C₂²	1	4	yes	complemented
98	C₃×#544	C₂²	1	4	yes	complemented
99	C₃×#542	C₂²	1	8	yes	complemented
100	C₃×#542	C₂²	1	8	yes	complemented
101	C₃×#542	C₂²	1	8	yes	complemented
102	C₃×#542	C₂²	1	4	yes	complemented
103	C₃×#542	C₂²	1	8	yes	complemented
104	C₃×#542	C₂²	1	4	yes	complemented
105	C₃×#542	C₂²	1	4	yes	complemented
106	C₃×#542	C₂²	1	8	yes	complemented
107	C₃×#541	C₂²	1	8	yes	complemented
108	C₃×#541	C₂²	1	4	yes	complemented
109	C₃×#540	C₂²	1	4	yes	complemented
110	C₃×#540	C₂²	1	8	yes	complemented
111	C₃×#539	C₂²	1	8	yes	complemented
112	C₃×#539	C₂²	1	8	yes	complemented
113	C₃×#538	C₂²	1	8	yes	complemented
114	C₃×#538	C₂²	1	8	yes	complemented
115	C₃×#538	C₂²	1	8	yes	complemented
116	C₃×#538	C₂²	1	8	yes	complemented
117	C₃×#537	C₂²	1	4	yes	complemented
118	C₃×#536	C₂²	1	2	yes	—
119	C₃×#536	C₂²	1	4	yes	complemented
120	C₃×#536	C₂²	1	4	yes	complemented
121	C₃×#535	C₂²	1	4	yes	—
122	C₃×#535	C₂²	1	4	yes	complemented
123	C₃×#534	C₂²	1	8	yes	complemented
124	C₃×#533	C₂²	1	2	yes	complemented
125	C₃×#533	C₂²	1	4	yes	complemented
126	C₃×#533	C₂²	1	4	yes	complemented
127	C₃×#533	C₂²	1	2	yes	complemented
128	C₃×#533	C₂²	1	1	yes	characteristic, complemented
129	C₃×#532	C₂²	1	2	yes	complemented
130	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
131	C₃×#529	C₂²	1	8	yes	complemented
132	C₃×#529	C₂²	1	8	yes	complemented
133	C₃×#529	C₂²	1	4	yes	complemented
134	C₃×#529	C₂²	1	8	yes	complemented
135	C₃×#529	C₂²	1	8	yes	complemented
136	C₃×#529	C₂²	1	2	yes	complemented
137	C₃×#529	C₂²	1	2	yes	complemented
138	C₃×#529	C₂²	1	4	yes	complemented
139	C₃×#529	C₂²	1	8	yes	complemented
140	C₃×#529	C₂²	1	4	yes	complemented
141	C₂×C₃×#124	C₂²	1	4	yes	complemented
142	C₃×#525	C₂²	1	4	yes	—
143	C₃×#525	C₂²	1	4	yes	complemented
144	C₃×#525	C₂²	1	4	yes	complemented
145	C₃×#525	C₂²	1	4	yes	complemented
146	C₃×#525	C₂²	1	4	yes	complemented
147	C₃×#525	C₂²	1	4	yes	complemented
148	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
149	C₂×C₃×#121	C₂²	1	4	yes	complemented
150	C₃×#520	C₂²	1	4	yes	complemented
151	C₃×#520	C₂²	1	4	yes	complemented
152	C₃×#519	C₂²	1	4	yes	complemented
153	C₃×#519	C₂²	1	2	yes	complemented
154	C₃×#518	C₂²	1	4	yes	complemented
155	C₃×C₄×#41	C₂²	1	1	yes	characteristic
156	C₃×C₄×#41	C₂²	1	4	yes	complemented
157	C₃×C₄×#41	C₂²	1	4	yes	complemented
158	C₃×C₄×#41	C₂²	1	2	yes	complemented
159	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
160	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
161	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
162	C₂×C₃×#117	C₂²	1	4	yes	complemented
163	C₂×C₃×#117	C₂²	1	4	yes	complemented
164	#3566	C₂×C₃	1	8	yes	complemented
165	#3565	C₂×C₃	1	4	yes	complemented
166	#3547	C₂×C₃	1	2	yes	complemented
167	#3545	C₂×C₃	1	4	yes	complemented
168	#3544	C₂×C₃	1	1	yes	characteristic, complemented
169	#3542	C₂×C₃	1	4	yes	complemented
170	#3540	C₂×C₃	1	4	yes	complemented
171	#3524	C₂×C₃	1	4	yes	complemented
172	#3520	C₂×C₃	1	2	yes	complemented
173	#3518	C₂×C₃	1	2	yes	complemented
174	#3510	C₂×C₃	1	4	yes	complemented
175	#3509	C₂×C₃	1	1	yes	characteristic, complemented
176	#3506	C₂×C₃	1	2	yes	complemented
177	#3505	C₂×C₃	1	4	yes	complemented
178	#3495	C₂×C₃	1	4	yes	complemented
179	#3493	C₂×C₃	1	4	yes	complemented
180	#3481	C₂×C₃	1	2	yes	complemented
181	#3475	C₂×C₃	1	4	yes	complemented
182	#3475	C₂×C₃	1	2	yes	complemented
183	C₂×#555	C₂×C₃	1	1	yes	characteristic, complemented
184	C₂×C₃×#41	C₂³	1	1	yes	characteristic
185	C₂×C₃×#41	C₂³	1	2	yes	—
186	C₂×C₃×#41	C₂³	1	4	yes	—
187	C₂×C₃×#41	C₂³	1	4	yes	—
188	C₂×C₃×#41	C₂³	1	4	yes	—
189	C₂×C₃×#41	C₂³	1	4	yes	—
190	C₂²×C₃×Q₈	C₂³	1	4	yes	—
191	C₂²×C₃×Q₈	C₂³	1	2	yes	—
192	C₂²×C₃×D₄	C₂³	1	2	yes	—
193	C₂²×C₃×D₄	C₂³	1	4	yes	—
194	C₂²×C₃×D₄	C₂³	1	2	yes	—
195	C₂²×C₃×D₄	C₂³	1	4	yes	—
196	C₂³×C₃×C₄	C₂³	1	4	yes	—
197	C₂³×C₃×C₄	C₂³	1	4	yes	—
198	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
199	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
200	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
201	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
202	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
203	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
204	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
205	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
206	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
207	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
208	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
209	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
210	C₃×#127	C₂³	1	8	yes	—
211	C₃×#127	C₂³	1	2	yes	—
212	C₃×#126	C₂³	1	8	yes	—
213	C₃×#126	C₂³	1	8	yes	—
214	C₃×#126	C₂³	1	4	yes	—
215	C₃×#126	C₂³	1	8	yes	—
216	C₃×#126	C₂³	1	8	yes	—
217	C₃×#126	C₂³	1	8	yes	—
218	C₃×#126	C₂³	1	4	yes	—
219	C₃×#126	C₂³	1	8	yes	—
220	C₃×#126	C₂³	1	4	yes	—
221	C₃×#126	C₂³	1	8	yes	—
222	C₃×#126	C₂³	1	8	yes	—
223	C₃×#126	C₂³	1	8	yes	—
224	C₃×#126	C₂³	1	8	yes	—
225	C₃×#126	C₂³	1	8	yes	—
226	C₃×#126	C₂³	1	8	yes	—
227	C₃×#126	C₂³	1	8	yes	—
228	C₃×#126	C₂³	1	4	yes	—
229	C₃×#125	C₂³	1	8	yes	—
230	C₃×#125	C₂³	1	8	yes	—
231	C₃×#125	C₂³	1	8	yes	—
232	C₃×#125	C₂³	1	8	yes	—
233	C₃×#125	C₂³	1	2	yes	—
234	C₃×#125	C₂³	1	4	yes	—
235	C₃×#125	C₂³	1	8	yes	—
236	C₃×#125	C₂³	1	8	yes	—
237	C₃×#125	C₂³	1	4	yes	—
238	C₃×#125	C₂³	1	4	yes	—
239	C₃×#125	C₂³	1	2	yes	—
240	C₃×#125	C₂³	1	2	yes	—
241	C₃×#125	C₂³	1	4	yes	—
242	C₃×#124	C₂³	1	4	yes	—
243	C₃×#124	C₂³	1	4	yes	—
244	C₃×#124	C₂³	1	4	yes	—
245	C₃×#124	C₂³	1	8	yes	—
246	C₃×#124	C₂³	1	8	yes	—
247	C₃×#124	C₂³	1	8	yes	—
248	C₃×#124	C₂³	1	8	yes	—
249	C₃×#124	C₂³	1	2	yes	—
250	C₃×#124	C₂³	1	8	yes	—
251	C₃×#124	C₂³	1	4	yes	—
252	C₃×#124	C₂³	1	2	yes	—
253	C₃×#124	C₂³	1	8	yes	—
254	C₃×#124	C₂³	1	4	yes	—
255	C₃×#124	C₂³	1	4	yes	—
256	C₃×#124	C₂³	1	8	yes	—
257	C₃×#124	C₂³	1	4	yes	—
258	C₃×#124	C₂³	1	8	yes	—
259	C₃×#124	C₂³	1	4	yes	—
260	C₃×#124	C₂³	1	4	yes	—
261	C₃×#124	C₂³	1	8	yes	—
262	C₃×#124	C₂³	1	4	yes	—
263	C₃×#123	C₂³	1	4	yes	—
264	C₃×#123	C₂³	1	4	yes	—
265	C₃×#123	C₂³	1	8	yes	—
266	C₃×#123	C₂³	1	8	yes	—
267	C₃×#123	C₂³	1	4	yes	—
268	C₃×#123	C₂³	1	8	yes	—
269	C₃×#123	C₂³	1	8	yes	—
270	C₃×#123	C₂³	1	8	yes	—
271	C₃×#123	C₂³	1	8	yes	—
272	C₃×#123	C₂³	1	8	yes	—
273	C₃×#123	C₂³	1	8	yes	—
274	C₃×#123	C₂³	1	8	yes	—
275	C₃×#123	C₂³	1	4	yes	—
276	C₃×#123	C₂³	1	8	yes	—
277	C₃×#123	C₂³	1	8	yes	—
278	C₃×#123	C₂³	1	8	yes	—
279	C₃×#123	C₂³	1	4	yes	—
280	C₃×#123	C₂³	1	4	yes	—
281	C₃×#123	C₂³	1	8	yes	—
282	C₃×#123	C₂³	1	8	yes	—
283	C₃×#123	C₂³	1	8	yes	—
284	C₃×#123	C₂³	1	8	yes	—
285	C₃×#123	C₂³	1	4	yes	—
286	C₃×#123	C₂³	1	4	yes	—
287	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
288	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
289	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
290	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
291	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
292	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
293	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
294	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
295	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
296	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
297	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
298	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
299	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
305	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
306	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
307	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
308	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
309	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
310	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
311	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
312	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
315	C₃×#121	C₂³	1	4	yes	—
316	C₃×#121	C₂³	1	8	yes	—
317	C₃×#121	C₂³	1	8	yes	—
318	C₃×#121	C₂³	1	8	yes	—
319	C₃×#121	C₂³	1	8	yes	—
320	C₃×#121	C₂³	1	8	yes	—
321	C₃×#121	C₂³	1	4	yes	—
322	C₃×#121	C₂³	1	4	yes	—
323	C₃×#121	C₂³	1	8	yes	—
324	C₃×#121	C₂³	1	8	yes	—
325	C₃×#121	C₂³	1	8	yes	—
326	C₃×#121	C₂³	1	4	yes	—
327	C₃×#121	C₂³	1	4	yes	—
328	C₃×#121	C₂³	1	4	yes	—
329	C₃×#121	C₂³	1	4	yes	—
330	C₃×#121	C₂³	1	8	yes	—
331	C₃×#121	C₂³	1	4	yes	—
332	C₃×#121	C₂³	1	2	yes	—
333	C₃×#121	C₂³	1	2	yes	—
334	C₃×#121	C₂³	1	2	yes	—
335	C₃×#121	C₂³	1	4	yes	—
336	C₃×#121	C₂³	1	4	yes	—
337	C₃×#121	C₂³	1	4	yes	—
338	C₃×#121	C₂³	1	4	yes	—
339	C₃×#121	C₂³	1	4	yes	—
340	C₃×#121	C₂³	1	8	yes	—
341	C₃×#121	C₂³	1	2	yes	—
342	C₃×#121	C₂³	1	8	yes	—
343	C₃×#120	C₂³	1	4	yes	—
344	C₃×#120	C₂³	1	8	yes	—
345	C₃×#120	C₂³	1	8	yes	—
346	C₃×#120	C₂³	1	4	yes	—
347	C₃×#120	C₂³	1	4	yes	—
348	C₃×#120	C₂³	1	4	yes	—
349	C₃×#120	C₂³	1	8	yes	—
350	C₃×#120	C₂³	1	8	yes	—
351	C₃×C₄×Q₈	C₂³	1	2	yes	—
352	C₃×C₄×Q₈	C₂³	1	4	yes	—
353	C₃×C₄×Q₈	C₂³	1	4	yes	—
354	C₃×C₄×Q₈	C₂³	1	2	yes	—
355	C₃×C₄×Q₈	C₂³	1	2	yes	—
356	C₃×C₄×Q₈	C₂³	1	8	yes	—
357	C₃×C₄×Q₈	C₂³	1	8	yes	—
358	C₃×C₄×Q₈	C₂³	1	8	yes	—
359	C₃×C₄×Q₈	C₂³	1	4	yes	—
360	C₃×C₄×Q₈	C₂³	1	4	yes	—
361	C₃×C₄×Q₈	C₂³	1	8	yes	—
362	C₃×C₄×Q₈	C₂³	1	4	yes	—
363	C₃×C₄×Q₈	C₂³	1	8	yes	—
364	C₃×C₄×Q₈	C₂³	1	4	yes	—
365	C₃×C₄×Q₈	C₂³	1	4	yes	—
366	C₃×C₄×D₄	C₂³	1	4	yes	—
367	C₃×C₄×D₄	C₂³	1	8	yes	—
368	C₃×C₄×D₄	C₂³	1	2	yes	—
369	C₃×C₄×D₄	C₂³	1	2	yes	—
370	C₃×C₄×D₄	C₂³	1	4	yes	—
371	C₃×C₄×D₄	C₂³	1	8	yes	—
372	C₃×C₄×D₄	C₂³	1	8	yes	—
373	C₃×C₄×D₄	C₂³	1	8	yes	—
374	C₃×C₄×D₄	C₂³	1	8	yes	—
375	C₃×C₄×D₄	C₂³	1	8	yes	—
376	C₃×C₄×D₄	C₂³	1	2	yes	—
377	C₃×C₄×D₄	C₂³	1	2	yes	—
378	C₃×C₄×D₄	C₂³	1	4	yes	—
379	C₃×C₄×D₄	C₂³	1	4	yes	—
380	C₃×C₄×D₄	C₂³	1	4	yes	—
381	C₃×C₄×D₄	C₂³	1	4	yes	—
382	C₃×C₄×D₄	C₂³	1	4	yes	—
383	C₃×C₄×D₄	C₂³	1	4	yes	—
384	C₃×C₄×D₄	C₂³	1	2	yes	—
385	C₃×C₄×D₄	C₂³	1	4	yes	—
386	C₃×C₄×D₄	C₂³	1	2	yes	—
387	C₃×C₄×D₄	C₂³	1	2	yes	—
388	C₃×C₄×D₄	C₂³	1	4	yes	—
389	C₃×C₄×D₄	C₂³	1	4	yes	—
390	C₃×C₄×D₄	C₂³	1	2	yes	—
391	C₃×C₄×D₄	C₂³	1	2	yes	—
392	C₃×C₄×D₄	C₂³	1	2	yes	—
393	C₃×C₄×D₄	C₂³	1	4	yes	—
394	C₃×C₄×D₄	C₂³	1	8	yes	—
395	C₃×C₄×D₄	C₂³	1	4	yes	—
396	C₃×C₄×D₄	C₂³	1	8	yes	—
397	C₃×C₄×D₄	C₂³	1	2	yes	—
398	C₃×C₄×D₄	C₂³	1	4	yes	—
399	C₃×C₄×D₄	C₂³	1	8	yes	—
400	C₃×C₄×D₄	C₂³	1	8	yes	—
401	C₃×C₄×D₄	C₂³	1	8	yes	—
402	C₃×C₄×D₄	C₂³	1	8	yes	—
403	C₃×C₄×D₄	C₂³	1	8	yes	—
404	C₃×C₄×D₄	C₂³	1	4	yes	—
405	C₃×#117	C₂³	1	4	yes	—
406	C₃×#117	C₂³	1	2	yes	—
407	C₃×#117	C₂³	1	4	yes	—
408	C₃×#117	C₂³	1	4	yes	—
409	C₃×#117	C₂³	1	4	yes	—
410	C₃×#117	C₂³	1	4	yes	—
411	C₃×#117	C₂³	1	8	yes	—
412	C₃×#117	C₂³	1	8	yes	—
413	C₃×#117	C₂³	1	8	yes	—
414	C₃×#117	C₂³	1	4	yes	—
415	C₃×#117	C₂³	1	8	yes	—
416	C₃×#117	C₂³	1	1	yes	characteristic
417	C₃×#117	C₂³	1	2	yes	—
418	C₃×#117	C₂³	1	4	yes	—
419	C₃×#117	C₂³	1	4	yes	—
420	C₃×#117	C₂³	1	8	yes	—
421	C₃×#117	C₂³	1	8	yes	—
422	C₃×#117	C₂³	1	4	yes	—
423	C₃×#117	C₂³	1	4	yes	—
424	C₃×#117	C₂³	1	8	yes	—
425	C₃×#117	C₂³	1	8	yes	—
426	C₃×#117	C₂³	1	4	yes	—
427	C₃×#117	C₂³	1	2	yes	—
428	C₃×#117	C₂³	1	4	yes	—
429	C₃×#117	C₂³	1	4	yes	—
430	C₃×#117	C₂³	1	8	yes	—
431	C₃×#117	C₂³	1	4	yes	—
432	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
433	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
434	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
435	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
436	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
437	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
438	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
439	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
440	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
441	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
442	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
443	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
444	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
445	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
446	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
447	C₂×C₃×C₄²	C₂³	1	4	yes	—
448	C₂×C₃×C₄²	C₂³	1	8	yes	—
449	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
450	C₂×C₃×C₄²	C₂³	1	2	yes	—
451	C₂×C₃×C₄²	C₂³	1	4	yes	—
452	#563	C₂²×C₃	1	4	yes	complemented
453	#563	C₂²×C₃	1	4	yes	complemented
454	#562	C₂²×C₃	1	8	yes	complemented
455	#562	C₂²×C₃	1	8	yes	complemented
456	H(3,𝔽₄)	C₂²×C₃	1	4	yes	complemented
457	#560	C₂²×C₃	1	8	yes	complemented
458	#559	C₂²×C₃	1	2	yes	complemented
459	#559	C₂²×C₃	1	8	yes	complemented
460	#559	C₂²×C₃	1	8	yes	complemented
461	Q₈²	C₂²×C₃	1	1	yes	characteristic, complemented
462	#557	C₂²×C₃	1	4	yes	complemented
463	#556	C₂²×C₃	1	4	yes	complemented
464	#556	C₂²×C₃	1	2	yes	complemented
465	#556	C₂²×C₃	1	4	yes	complemented
466	#556	C₂²×C₃	1	8	yes	complemented
467	#556	C₂²×C₃	1	4	yes	complemented
468	#556	C₂²×C₃	1	4	yes	complemented
469	#556	C₂²×C₃	1	8	yes	complemented
470	#555	C₂²×C₃	1	1	yes	characteristic
471	#555	C₂²×C₃	1	4	yes	complemented
472	#555	C₂²×C₃	1	2	yes	complemented
473	#555	C₂²×C₃	1	4	yes	complemented
474	#555	C₂²×C₃	1	1	yes	characteristic, complemented
475	#555	C₂²×C₃	1	4	yes	complemented
476	#555	C₂²×C₃	1	4	yes	complemented
477	#555	C₂²×C₃	1	4	yes	complemented
478	#555	C₂²×C₃	1	4	yes	complemented
479	#555	C₂²×C₃	1	1	yes	characteristic, complemented
480	#555	C₂²×C₃	1	4	yes	complemented
481	#554	C₂²×C₃	1	4	yes	complemented
482	#554	C₂²×C₃	1	2	yes	complemented
483	#554	C₂²×C₃	1	2	yes	complemented
484	#554	C₂²×C₃	1	2	yes	complemented
485	#553	C₂²×C₃	1	2	yes	—
486	#553	C₂²×C₃	1	4	yes	complemented
487	#553	C₂²×C₃	1	4	yes	complemented
488	#553	C₂²×C₃	1	2	yes	complemented
489	#553	C₂²×C₃	1	4	yes	complemented
490	#553	C₂²×C₃	1	4	yes	complemented
491	#553	C₂²×C₃	1	8	yes	complemented
492	#553	C₂²×C₃	1	4	yes	complemented
493	#553	C₂²×C₃	1	8	yes	complemented
494	#552	C₂²×C₃	1	4	yes	complemented
495	#552	C₂²×C₃	1	4	yes	complemented
496	#552	C₂²×C₃	1	4	yes	complemented
497	#552	C₂²×C₃	1	4	yes	complemented
498	#552	C₂²×C₃	1	8	yes	complemented
499	#552	C₂²×C₃	1	8	yes	complemented
500	#552	C₂²×C₃	1	4	yes	complemented
501	#552	C₂²×C₃	1	4	yes	complemented
502	#552	C₂²×C₃	1	4	yes	complemented
503	#552	C₂²×C₃	1	8	yes	complemented
504	#551	C₂²×C₃	1	8	yes	complemented
505	#551	C₂²×C₃	1	8	yes	complemented
506	#551	C₂²×C₃	1	8	yes	complemented
507	#551	C₂²×C₃	1	4	yes	complemented
508	#551	C₂²×C₃	1	4	yes	complemented
509	#551	C₂²×C₃	1	8	yes	complemented
510	#551	C₂²×C₃	1	8	yes	complemented
511	#551	C₂²×C₃	1	8	yes	complemented
512	#550	C₂²×C₃	1	4	yes	complemented
513	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
514	#548	C₂²×C₃	1	4	yes	complemented
515	#548	C₂²×C₃	1	4	yes	complemented
516	#548	C₂²×C₃	1	4	yes	complemented
517	#547	C₂²×C₃	1	2	yes	complemented
518	#547	C₂²×C₃	1	4	yes	complemented
519	#547	C₂²×C₃	1	2	yes	complemented
520	#546	C₂²×C₃	1	2	yes	—
521	#546	C₂²×C₃	1	4	yes	—
522	#546	C₂²×C₃	1	4	yes	complemented
523	#546	C₂²×C₃	1	8	yes	complemented
524	#546	C₂²×C₃	1	2	yes	complemented
525	#546	C₂²×C₃	1	4	yes	complemented
526	D₄²	C₂²×C₃	1	2	yes	complemented
527	#544	C₂²×C₃	1	4	yes	complemented
528	#544	C₂²×C₃	1	4	yes	complemented
529	#542	C₂²×C₃	1	8	yes	complemented
530	#542	C₂²×C₃	1	8	yes	complemented
531	#542	C₂²×C₃	1	8	yes	complemented
532	#542	C₂²×C₃	1	4	yes	complemented
533	#542	C₂²×C₃	1	8	yes	complemented
534	#542	C₂²×C₃	1	4	yes	complemented
535	#542	C₂²×C₃	1	4	yes	complemented
536	#542	C₂²×C₃	1	8	yes	complemented
537	#541	C₂²×C₃	1	8	yes	complemented
538	#541	C₂²×C₃	1	4	yes	complemented
539	#540	C₂²×C₃	1	4	yes	complemented
540	#540	C₂²×C₃	1	8	yes	complemented
541	#539	C₂²×C₃	1	8	yes	complemented
542	#539	C₂²×C₃	1	8	yes	complemented
543	#538	C₂²×C₃	1	8	yes	complemented
544	#538	C₂²×C₃	1	8	yes	complemented
545	#538	C₂²×C₃	1	8	yes	complemented
546	#538	C₂²×C₃	1	8	yes	complemented
547	#537	C₂²×C₃	1	4	yes	complemented
548	#536	C₂²×C₃	1	2	yes	—
549	#536	C₂²×C₃	1	4	yes	complemented
550	#536	C₂²×C₃	1	4	yes	complemented
551	#535	C₂²×C₃	1	4	yes	—
552	#535	C₂²×C₃	1	4	yes	complemented
553	#534	C₂²×C₃	1	8	yes	complemented
554	#533	C₂²×C₃	1	2	yes	complemented
555	#533	C₂²×C₃	1	4	yes	complemented
556	#533	C₂²×C₃	1	4	yes	complemented
557	#533	C₂²×C₃	1	2	yes	complemented
558	#533	C₂²×C₃	1	1	yes	characteristic, complemented
559	#532	C₂²×C₃	1	2	yes	complemented
560	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
561	#529	C₂²×C₃	1	8	yes	complemented
562	#529	C₂²×C₃	1	8	yes	complemented
563	#529	C₂²×C₃	1	4	yes	complemented
564	#529	C₂²×C₃	1	8	yes	complemented
565	#529	C₂²×C₃	1	8	yes	complemented
566	#529	C₂²×C₃	1	2	yes	complemented
567	#529	C₂²×C₃	1	2	yes	complemented
568	#529	C₂²×C₃	1	4	yes	complemented
569	#529	C₂²×C₃	1	8	yes	complemented
570	#529	C₂²×C₃	1	4	yes	complemented
571	C₂×#124	C₂²×C₃	1	4	yes	complemented
572	#525	C₂²×C₃	1	4	yes	—
573	#525	C₂²×C₃	1	4	yes	complemented
574	#525	C₂²×C₃	1	4	yes	complemented
575	#525	C₂²×C₃	1	4	yes	complemented
576	#525	C₂²×C₃	1	4	yes	complemented
577	#525	C₂²×C₃	1	4	yes	complemented
578	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
579	C₂×#121	C₂²×C₃	1	4	yes	complemented
580	#520	C₂²×C₃	1	4	yes	complemented
581	#520	C₂²×C₃	1	4	yes	complemented
582	#519	C₂²×C₃	1	4	yes	complemented
583	#519	C₂²×C₃	1	2	yes	complemented
584	#518	C₂²×C₃	1	4	yes	complemented
585	C₄×#41	C₂²×C₃	1	1	yes	characteristic
586	C₄×#41	C₂²×C₃	1	4	yes	complemented
587	C₄×#41	C₂²×C₃	1	4	yes	complemented
588	C₄×#41	C₂²×C₃	1	2	yes	complemented
589	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
590	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
591	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
592	C₂×#117	C₂²×C₃	1	4	yes	complemented
593	C₂×#117	C₂²×C₃	1	4	yes	complemented
594	C₂⁴×C₃	C₂⁴	1	4	yes	—
595	C₂⁴×C₃	C₂⁴	1	4	yes	—
596	C₃×#41	—	4	8	no	—
597	C₃×#41	—	4	8	no	—
598	C₃×#41	—	4	2	no	—
599	C₃×#41	—	4	4	no	—
600	C₃×#41	—	4	8	no	—
601	C₃×#41	—	4	8	no	—
602	C₂×C₃×Q₈	—	4	4	no	—
603	C₂×C₃×Q₈	—	4	8	no	—
604	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
605	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
606	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
607	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
608	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
609	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
610	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
611	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
612	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
613	C₂×C₃×D₄	—	4	4	no	—
614	C₂×C₃×D₄	—	4	4	no	—
615	C₂×C₃×D₄	—	4	8	no	—
616	C₂×C₃×D₄	—	4	8	no	—
617	C₂×C₃×D₄	C₂⁴	1	4	yes	—
618	C₂×C₃×D₄	C₂⁴	1	2	yes	—
619	C₂×C₃×D₄	C₂⁴	1	2	yes	—
620	C₂×C₃×D₄	C₂⁴	1	2	yes	—
621	C₂×C₃×D₄	C₂⁴	1	2	yes	—
622	C₂×C₃×D₄	C₂⁴	1	4	yes	—
623	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
624	C₂×C₃×D₄	C₂⁴	1	4	yes	—
625	C₂×C₃×D₄	C₂⁴	1	4	yes	—
626	C₂×C₃×D₄	C₂⁴	1	8	yes	—
627	C₂×C₃×D₄	C₂⁴	1	4	yes	—
628	C₂×C₃×D₄	C₂⁴	1	8	yes	—
629	C₂×C₃×D₄	C₂⁴	1	4	yes	—
630	C₂×C₃×D₄	C₂⁴	1	4	yes	—
631	C₂×C₃×D₄	C₂⁴	1	4	yes	—
632	C₂×C₃×D₄	C₂⁴	1	4	yes	—
633	C₂×C₃×D₄	C₂⁴	1	8	yes	—
634	C₂×C₃×D₄	C₂⁴	1	4	yes	—
635	C₂×C₃×D₄	C₂⁴	1	4	yes	—
636	C₂×C₃×D₄	C₂⁴	1	4	yes	—
637	C₂²×C₃×C₄	—	4	8	no	—
638	C₂²×C₃×C₄	—	4	8	no	—
639	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
640	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
641	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
642	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
643	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
644	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
645	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
646	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
647	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
648	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
649	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
650	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
651	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
652	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
653	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
654	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
655	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
656	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
657	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
658	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
659	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
660	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
661	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
662	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
663	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
664	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
665	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
666	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
667	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
668	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
669	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
670	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
671	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
672	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
673	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
674	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
675	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
676	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
678	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
679	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
680	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
683	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
684	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
685	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
686	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
687	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
688	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
689	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
690	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
691	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
692	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
693	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
694	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
695	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
696	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
697	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
698	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
699	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
700	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
701	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
703	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
707	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
708	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
709	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
711	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
714	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
715	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
716	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
717	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
718	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
719	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
720	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
721	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
722	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
723	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
724	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
726	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
727	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
728	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
729	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
730	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
731	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
732	C₃×C₄²	C₂⁴	1	4	yes	—
733	C₃×C₄²	C₂⁴	1	4	yes	—
734	C₃×C₄²	C₂⁴	1	1	yes	characteristic
735	C₃×C₄²	C₂⁴	1	2	yes	—
736	C₃×C₄²	C₂⁴	1	4	yes	—
737	C₃×C₄²	C₂⁴	1	4	yes	—
738	C₃×C₄²	C₂⁴	1	8	yes	—
739	C₃×C₄²	C₂⁴	1	8	yes	—
740	C₃×C₄²	C₂⁴	1	8	yes	—
741	C₃×C₄²	C₂⁴	1	2	yes	—
742	C₃×C₄²	C₂⁴	1	2	yes	—
743	C₃×C₄²	C₂⁴	1	4	yes	—
744	C₃×C₄²	C₂⁴	1	2	yes	—
745	C₃×C₄²	C₂⁴	1	1	yes	characteristic
746	C₃×C₄²	C₂⁴	1	4	yes	—
747	C₃×C₄²	C₂⁴	1	4	yes	—
748	C₃×C₄²	C₂⁴	1	4	yes	—
749	C₃×C₄²	C₂⁴	1	8	yes	—
750	C₂×#41	C₂³×C₃	1	1	yes	characteristic
751	C₂×#41	C₂³×C₃	1	2	yes	—
752	C₂×#41	C₂³×C₃	1	4	yes	—
753	C₂×#41	C₂³×C₃	1	4	yes	—
754	C₂×#41	C₂³×C₃	1	4	yes	—
755	C₂×#41	C₂³×C₃	1	4	yes	—
756	C₂²×Q₈	C₂³×C₃	1	4	yes	—
757	C₂²×Q₈	C₂³×C₃	1	2	yes	—
758	C₂²×D₄	C₂³×C₃	1	2	yes	—
759	C₂²×D₄	C₂³×C₃	1	4	yes	—
760	C₂²×D₄	C₂³×C₃	1	2	yes	—
761	C₂²×D₄	C₂³×C₃	1	4	yes	—
762	C₂³×C₄	C₂³×C₃	1	4	yes	—
763	C₂³×C₄	C₂³×C₃	1	4	yes	—
764	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
765	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
766	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
767	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
768	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
769	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
770	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
771	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
772	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
773	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
774	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
775	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
776	#127	C₂³×C₃	1	2	yes	—
777	#127	C₂³×C₃	1	8	yes	—
778	#126	C₂³×C₃	1	4	yes	—
779	#126	C₂³×C₃	1	8	yes	—
780	#126	C₂³×C₃	1	4	yes	—
781	#126	C₂³×C₃	1	8	yes	—
782	#126	C₂³×C₃	1	8	yes	—
783	#126	C₂³×C₃	1	8	yes	—
784	#126	C₂³×C₃	1	8	yes	—
785	#126	C₂³×C₃	1	4	yes	—
786	#126	C₂³×C₃	1	8	yes	—
787	#126	C₂³×C₃	1	8	yes	—
788	#126	C₂³×C₃	1	8	yes	—
789	#126	C₂³×C₃	1	4	yes	—
790	#126	C₂³×C₃	1	8	yes	—
791	#126	C₂³×C₃	1	8	yes	—
792	#126	C₂³×C₃	1	8	yes	—
793	#126	C₂³×C₃	1	8	yes	—
794	#126	C₂³×C₃	1	8	yes	—
795	#125	C₂³×C₃	1	8	yes	—
796	#125	C₂³×C₃	1	2	yes	—
797	#125	C₂³×C₃	1	4	yes	—
798	#125	C₂³×C₃	1	8	yes	—
799	#125	C₂³×C₃	1	8	yes	—
800	#125	C₂³×C₃	1	4	yes	—
801	#125	C₂³×C₃	1	8	yes	—
802	#125	C₂³×C₃	1	4	yes	—
803	#125	C₂³×C₃	1	2	yes	—
804	#125	C₂³×C₃	1	2	yes	—
805	#125	C₂³×C₃	1	4	yes	—
806	#125	C₂³×C₃	1	8	yes	—
807	#125	C₂³×C₃	1	8	yes	—
808	#124	C₂³×C₃	1	4	yes	—
809	#124	C₂³×C₃	1	4	yes	—
810	#124	C₂³×C₃	1	8	yes	—
811	#124	C₂³×C₃	1	8	yes	—
812	#124	C₂³×C₃	1	4	yes	—
813	#124	C₂³×C₃	1	4	yes	—
814	#124	C₂³×C₃	1	2	yes	—
815	#124	C₂³×C₃	1	8	yes	—
816	#124	C₂³×C₃	1	8	yes	—
817	#124	C₂³×C₃	1	8	yes	—
818	#124	C₂³×C₃	1	4	yes	—
819	#124	C₂³×C₃	1	4	yes	—
820	#124	C₂³×C₃	1	2	yes	—
821	#124	C₂³×C₃	1	4	yes	—
822	#124	C₂³×C₃	1	8	yes	—
823	#124	C₂³×C₃	1	8	yes	—
824	#124	C₂³×C₃	1	4	yes	—
825	#124	C₂³×C₃	1	4	yes	—
826	#124	C₂³×C₃	1	4	yes	—
827	#124	C₂³×C₃	1	8	yes	—
828	#124	C₂³×C₃	1	8	yes	—
829	#123	C₂³×C₃	1	4	yes	—
830	#123	C₂³×C₃	1	4	yes	—
831	#123	C₂³×C₃	1	4	yes	—
832	#123	C₂³×C₃	1	8	yes	—
833	#123	C₂³×C₃	1	4	yes	—
834	#123	C₂³×C₃	1	8	yes	—
835	#123	C₂³×C₃	1	8	yes	—
836	#123	C₂³×C₃	1	8	yes	—
837	#123	C₂³×C₃	1	8	yes	—
838	#123	C₂³×C₃	1	8	yes	—
839	#123	C₂³×C₃	1	8	yes	—
840	#123	C₂³×C₃	1	8	yes	—
841	#123	C₂³×C₃	1	4	yes	—
842	#123	C₂³×C₃	1	8	yes	—
843	#123	C₂³×C₃	1	4	yes	—
844	#123	C₂³×C₃	1	8	yes	—
845	#123	C₂³×C₃	1	8	yes	—
846	#123	C₂³×C₃	1	8	yes	—
847	#123	C₂³×C₃	1	4	yes	—
848	#123	C₂³×C₃	1	4	yes	—
849	#123	C₂³×C₃	1	8	yes	—
850	#123	C₂³×C₃	1	8	yes	—
851	#123	C₂³×C₃	1	8	yes	—
852	#123	C₂³×C₃	1	8	yes	—
853	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
854	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
855	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
856	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
857	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
858	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
859	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
860	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
861	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
862	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
863	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
864	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
865	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
866	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
867	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
868	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
869	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
870	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
871	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
872	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
873	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
874	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
875	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
876	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
877	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
878	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
879	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
880	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
881	#121	C₂³×C₃	1	4	yes	—
882	#121	C₂³×C₃	1	4	yes	—
883	#121	C₂³×C₃	1	4	yes	—
884	#121	C₂³×C₃	1	4	yes	—
885	#121	C₂³×C₃	1	8	yes	—
886	#121	C₂³×C₃	1	8	yes	—
887	#121	C₂³×C₃	1	4	yes	—
888	#121	C₂³×C₃	1	4	yes	—
889	#121	C₂³×C₃	1	2	yes	—
890	#121	C₂³×C₃	1	2	yes	—
891	#121	C₂³×C₃	1	2	yes	—
892	#121	C₂³×C₃	1	4	yes	—
893	#121	C₂³×C₃	1	4	yes	—
894	#121	C₂³×C₃	1	4	yes	—
895	#121	C₂³×C₃	1	4	yes	—
896	#121	C₂³×C₃	1	4	yes	—
897	#121	C₂³×C₃	1	8	yes	—
898	#121	C₂³×C₃	1	8	yes	—
899	#121	C₂³×C₃	1	2	yes	—
900	#121	C₂³×C₃	1	8	yes	—
901	#121	C₂³×C₃	1	8	yes	—
902	#121	C₂³×C₃	1	4	yes	—
903	#121	C₂³×C₃	1	4	yes	—
904	#121	C₂³×C₃	1	8	yes	—
905	#121	C₂³×C₃	1	8	yes	—
906	#121	C₂³×C₃	1	8	yes	—
907	#121	C₂³×C₃	1	8	yes	—
908	#121	C₂³×C₃	1	8	yes	—
909	#120	C₂³×C₃	1	4	yes	—
910	#120	C₂³×C₃	1	4	yes	—
911	#120	C₂³×C₃	1	8	yes	—
912	#120	C₂³×C₃	1	8	yes	—
913	#120	C₂³×C₃	1	8	yes	—
914	#120	C₂³×C₃	1	8	yes	—
915	#120	C₂³×C₃	1	4	yes	—
916	#120	C₂³×C₃	1	4	yes	—
917	C₄×Q₈	C₂³×C₃	1	2	yes	—
918	C₄×Q₈	C₂³×C₃	1	2	yes	—
919	C₄×Q₈	C₂³×C₃	1	4	yes	—
920	C₄×Q₈	C₂³×C₃	1	2	yes	—
921	C₄×Q₈	C₂³×C₃	1	4	yes	—
922	C₄×Q₈	C₂³×C₃	1	8	yes	—
923	C₄×Q₈	C₂³×C₃	1	4	yes	—
924	C₄×Q₈	C₂³×C₃	1	8	yes	—
925	C₄×Q₈	C₂³×C₃	1	4	yes	—
926	C₄×Q₈	C₂³×C₃	1	8	yes	—
927	C₄×Q₈	C₂³×C₃	1	4	yes	—
928	C₄×Q₈	C₂³×C₃	1	4	yes	—
929	C₄×Q₈	C₂³×C₃	1	8	yes	—
930	C₄×Q₈	C₂³×C₃	1	8	yes	—
931	C₄×Q₈	C₂³×C₃	1	4	yes	—
932	C₄×D₄	C₂³×C₃	1	2	yes	—
933	C₄×D₄	C₂³×C₃	1	2	yes	—
934	C₄×D₄	C₂³×C₃	1	4	yes	—
935	C₄×D₄	C₂³×C₃	1	2	yes	—
936	C₄×D₄	C₂³×C₃	1	2	yes	—
937	C₄×D₄	C₂³×C₃	1	4	yes	—
938	C₄×D₄	C₂³×C₃	1	4	yes	—
939	C₄×D₄	C₂³×C₃	1	4	yes	—
940	C₄×D₄	C₂³×C₃	1	4	yes	—
941	C₄×D₄	C₂³×C₃	1	4	yes	—
942	C₄×D₄	C₂³×C₃	1	2	yes	—
943	C₄×D₄	C₂³×C₃	1	4	yes	—
944	C₄×D₄	C₂³×C₃	1	4	yes	—
945	C₄×D₄	C₂³×C₃	1	4	yes	—
946	C₄×D₄	C₂³×C₃	1	2	yes	—
947	C₄×D₄	C₂³×C₃	1	2	yes	—
948	C₄×D₄	C₂³×C₃	1	4	yes	—
949	C₄×D₄	C₂³×C₃	1	4	yes	—
950	C₄×D₄	C₂³×C₃	1	2	yes	—
951	C₄×D₄	C₂³×C₃	1	2	yes	—
952	C₄×D₄	C₂³×C₃	1	2	yes	—
953	C₄×D₄	C₂³×C₃	1	4	yes	—
954	C₄×D₄	C₂³×C₃	1	8	yes	—
955	C₄×D₄	C₂³×C₃	1	8	yes	—
956	C₄×D₄	C₂³×C₃	1	8	yes	—
957	C₄×D₄	C₂³×C₃	1	4	yes	—
958	C₄×D₄	C₂³×C₃	1	8	yes	—
959	C₄×D₄	C₂³×C₃	1	2	yes	—
960	C₄×D₄	C₂³×C₃	1	4	yes	—
961	C₄×D₄	C₂³×C₃	1	8	yes	—
962	C₄×D₄	C₂³×C₃	1	8	yes	—
963	C₄×D₄	C₂³×C₃	1	8	yes	—
964	C₄×D₄	C₂³×C₃	1	8	yes	—
965	C₄×D₄	C₂³×C₃	1	8	yes	—
966	C₄×D₄	C₂³×C₃	1	8	yes	—
967	C₄×D₄	C₂³×C₃	1	8	yes	—
968	C₄×D₄	C₂³×C₃	1	8	yes	—
969	C₄×D₄	C₂³×C₃	1	8	yes	—
970	C₄×D₄	C₂³×C₃	1	4	yes	—
971	#117	C₂³×C₃	1	4	yes	—
972	#117	C₂³×C₃	1	2	yes	—
973	#117	C₂³×C₃	1	4	yes	—
974	#117	C₂³×C₃	1	4	yes	—
975	#117	C₂³×C₃	1	4	yes	—
976	#117	C₂³×C₃	1	4	yes	—
977	#117	C₂³×C₃	1	8	yes	—
978	#117	C₂³×C₃	1	8	yes	—
979	#117	C₂³×C₃	1	8	yes	—
980	#117	C₂³×C₃	1	4	yes	—
981	#117	C₂³×C₃	1	8	yes	—
982	#117	C₂³×C₃	1	1	yes	characteristic
983	#117	C₂³×C₃	1	2	yes	—
984	#117	C₂³×C₃	1	4	yes	—
985	#117	C₂³×C₃	1	4	yes	—
986	#117	C₂³×C₃	1	8	yes	—
987	#117	C₂³×C₃	1	8	yes	—
988	#117	C₂³×C₃	1	4	yes	—
989	#117	C₂³×C₃	1	4	yes	—
990	#117	C₂³×C₃	1	8	yes	—
991	#117	C₂³×C₃	1	8	yes	—
992	#117	C₂³×C₃	1	4	yes	—
993	#117	C₂³×C₃	1	2	yes	—
994	#117	C₂³×C₃	1	4	yes	—
995	#117	C₂³×C₃	1	4	yes	—
996	#117	C₂³×C₃	1	8	yes	—
997	#117	C₂³×C₃	1	4	yes	—
998	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
999	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1000	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1001	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1002	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1003	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1004	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1005	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1006	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1007	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1008	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1009	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1010	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1011	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1012	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1013	C₂×C₄²	C₂³×C₃	1	4	yes	—
1014	C₂×C₄²	C₂³×C₃	1	8	yes	—
1015	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1016	C₂×C₄²	C₂³×C₃	1	2	yes	—
1017	C₂×C₄²	C₂³×C₃	1	4	yes	—
1018	C₂³×C₃	—	2	8	no	—
1019	C₂³×C₃	—	4	4	no	—
1020	C₂³×C₃	—	4	4	no	—
1021	C₂³×C₃	—	4	4	no	—
1022	C₂³×C₃	—	4	4	no	—
1023	C₂³×C₃	—	4	4	no	—
1024	C₂³×C₃	C₂⁵	1	2	yes	—
1025	C₂³×C₃	C₂⁵	1	4	yes	—
1026	C₂³×C₃	C₂⁵	1	4	yes	—
1027	C₂³×C₃	C₂⁵	1	4	yes	—
1028	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1029	C₃×Q₈	—	2	4	no	—
1030	C₃×Q₈	—	2	8	no	—
1031	C₃×Q₈	—	4	2	no	—
1032	C₃×Q₈	—	4	4	no	—
1033	C₃×Q₈	—	4	8	no	—
1034	C₃×Q₈	—	4	2	no	—
1035	C₃×Q₈	—	4	4	no	—
1036	C₃×Q₈	—	4	4	no	—
1037	C₃×Q₈	—	4	1	no	—
1038	C₃×D₄	—	2	4	no	—
1039	C₃×D₄	—	2	8	no	—
1040	C₃×D₄	—	2	4	no	—
1041	C₃×D₄	—	2	4	no	—
1042	C₃×D₄	—	2	4	no	—
1043	C₃×D₄	—	4	4	no	—
1044	C₃×D₄	—	4	4	no	—
1045	C₃×D₄	—	4	4	no	—
1046	C₃×D₄	—	4	4	no	—
1047	C₃×D₄	—	4	8	no	—
1048	C₃×D₄	—	4	4	no	—
1049	C₃×D₄	—	4	4	no	—
1050	C₃×D₄	—	4	4	no	—
1051	C₃×D₄	—	4	4	no	—
1052	C₃×D₄	—	4	4	no	—
1053	C₃×D₄	—	4	4	no	—
1054	C₃×D₄	—	4	1	no	—
1055	C₃×D₄	—	4	8	no	—
1056	C₃×D₄	—	4	8	no	—
1057	C₃×D₄	—	4	4	no	—
1058	C₂×C₃×C₄	—	2	8	no	—
1059	C₂×C₃×C₄	—	2	2	no	—
1060	C₂×C₃×C₄	—	2	4	no	—
1061	C₂×C₃×C₄	—	2	8	no	—
1062	C₂×C₃×C₄	—	2	4	no	—
1063	C₂×C₃×C₄	—	2	8	no	—
1064	C₂×C₃×C₄	—	2	8	no	—
1065	C₂×C₃×C₄	—	2	4	no	—
1066	C₂×C₃×C₄	—	4	4	no	—
1067	C₂×C₃×C₄	—	4	4	no	—
1068	C₂×C₃×C₄	—	4	4	no	—
1069	C₂×C₃×C₄	—	4	4	no	—
1070	C₂×C₃×C₄	—	4	4	no	—
1071	C₂×C₃×C₄	—	4	4	no	—
1072	C₂×C₃×C₄	—	4	4	no	—
1073	C₂×C₃×C₄	—	4	8	no	—
1074	C₂×C₃×C₄	—	4	8	no	—
1075	C₂×C₃×C₄	—	4	4	no	—
1076	C₂×C₃×C₄	—	4	8	no	—
1077	C₂×C₃×C₄	—	4	8	no	—
1078	C₂×C₃×C₄	—	4	2	no	—
1079	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1080	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1081	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1082	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1083	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1084	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1085	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1086	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1087	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1088	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1089	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1090	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1091	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1092	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1093	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1094	C₂⁴	C₂⁴×C₃	1	4	yes	—
1095	C₂⁴	C₂⁴×C₃	1	4	yes	—
1096	#41	—	4	8	no	—
1097	#41	—	4	8	no	—
1098	#41	—	4	2	no	—
1099	#41	—	4	4	no	—
1100	#41	—	4	8	no	—
1101	#41	—	4	8	no	—
1102	C₂×Q₈	—	4	4	no	—
1103	C₂×Q₈	—	4	8	no	—
1104	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1105	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1106	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1107	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1108	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1109	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1110	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1111	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1112	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1113	C₂×D₄	—	4	4	no	—
1114	C₂×D₄	—	4	4	no	—
1115	C₂×D₄	—	4	8	no	—
1116	C₂×D₄	—	4	8	no	—
1117	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1118	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1119	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1120	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1121	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1122	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1123	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1124	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1125	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1126	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1127	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1128	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1129	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1130	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1131	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1132	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1133	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1134	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1135	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1136	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1137	C₂²×C₄	—	4	8	no	—
1138	C₂²×C₄	—	4	8	no	—
1139	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1141	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1142	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1143	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1144	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1145	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1146	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1147	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1148	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1149	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1150	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1151	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1152	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1153	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1154	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1155	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1156	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1157	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1158	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1159	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1160	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1161	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1162	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1163	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1164	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1165	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1166	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1167	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1168	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1169	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1170	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1171	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1172	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1173	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1174	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1175	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1176	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1177	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1178	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1179	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1180	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1181	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1182	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1183	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1184	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1185	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1186	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1187	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1188	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1189	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1190	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1191	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1192	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1193	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1194	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1195	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1196	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1197	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1198	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1199	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1200	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1201	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1202	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1203	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1204	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1205	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1206	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1207	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1208	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1209	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1210	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1211	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1212	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1213	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1214	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1215	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1216	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1217	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1218	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1219	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1220	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1221	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1222	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1223	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1224	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1225	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1226	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1227	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1228	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1229	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1230	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1231	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1232	C₄²	C₂⁴×C₃	1	4	yes	—
1233	C₄²	C₂⁴×C₃	1	4	yes	—
1234	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1235	C₄²	C₂⁴×C₃	1	2	yes	—
1236	C₄²	C₂⁴×C₃	1	4	yes	—
1237	C₄²	C₂⁴×C₃	1	4	yes	—
1238	C₄²	C₂⁴×C₃	1	8	yes	—
1239	C₄²	C₂⁴×C₃	1	8	yes	—
1240	C₄²	C₂⁴×C₃	1	8	yes	—
1241	C₄²	C₂⁴×C₃	1	2	yes	—
1242	C₄²	C₂⁴×C₃	1	2	yes	—
1243	C₄²	C₂⁴×C₃	1	4	yes	—
1244	C₄²	C₂⁴×C₃	1	2	yes	—
1245	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1246	C₄²	C₂⁴×C₃	1	4	yes	—
1247	C₄²	C₂⁴×C₃	1	4	yes	—
1248	C₄²	C₂⁴×C₃	1	4	yes	—
1249	C₄²	C₂⁴×C₃	1	8	yes	—
1250	C₂²×C₃	—	2	2	no	—
1251	C₂²×C₃	—	2	4	no	—
1252	C₂²×C₃	—	2	2	no	—
1253	C₂²×C₃	—	2	4	no	—
1254	C₂²×C₃	—	2	4	no	—
1255	C₂²×C₃	—	2	2	no	—
1256	C₂²×C₃	—	2	4	no	—
1257	C₂²×C₃	—	2	4	no	—
1258	C₂²×C₃	—	2	4	no	—
1259	C₂²×C₃	—	2	2	no	—
1260	C₂²×C₃	—	2	4	no	—
1261	C₂²×C₃	—	2	4	no	—
1262	C₂²×C₃	—	2	4	no	—
1263	C₂²×C₃	—	8	8	no	—
1264	C₂²×C₃	—	8	8	no	—
1265	C₂²×C₃	#585	1	2	yes	—
1266	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1267	C₃×C₄	—	2	2	no	—
1268	C₃×C₄	—	2	4	no	—
1269	C₃×C₄	—	2	2	no	—
1270	C₃×C₄	—	2	4	no	—
1271	C₃×C₄	—	2	4	no	—
1272	C₃×C₄	—	2	4	no	—
1273	C₃×C₄	—	2	1	no	—
1274	C₃×C₄	—	2	2	no	—
1275	C₃×C₄	—	2	4	no	—
1276	C₃×C₄	—	2	1	no	—
1277	C₃×C₄	—	2	2	no	—
1278	C₃×C₄	—	2	4	no	—
1279	C₃×C₄	—	2	8	no	—
1280	C₃×C₄	—	2	4	no	—
1281	C₃×C₄	#585	1	4	yes	—
1282	C₂³	—	2	8	no	—
1283	C₂³	—	4	4	no	—
1284	C₂³	—	4	4	no	—
1285	C₂³	—	4	4	no	—
1286	C₂³	—	4	4	no	—
1287	C₂³	—	4	4	no	—
1288	C₂³	C₂⁵×C₃	1	2	yes	—
1289	C₂³	C₂⁵×C₃	1	4	yes	—
1290	C₂³	C₂⁵×C₃	1	4	yes	—
1291	C₂³	C₂⁵×C₃	1	4	yes	—
1292	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1293	Q₈	—	2	4	no	—
1294	Q₈	—	2	8	no	—
1295	Q₈	—	4	2	no	—
1296	Q₈	—	4	4	no	—
1297	Q₈	—	4	8	no	—
1298	Q₈	—	4	2	no	—
1299	Q₈	—	4	4	no	—
1300	Q₈	—	4	4	no	—
1301	Q₈	—	4	1	no	—
1302	D₄	—	2	4	no	—
1303	D₄	—	2	8	no	—
1304	D₄	—	2	4	no	—
1305	D₄	—	2	4	no	—
1306	D₄	—	2	4	no	—
1307	D₄	—	4	4	no	—
1308	D₄	—	4	4	no	—
1309	D₄	—	4	4	no	—
1310	D₄	—	4	4	no	—
1311	D₄	—	4	8	no	—
1312	D₄	—	4	4	no	—
1313	D₄	—	4	4	no	—
1314	D₄	—	4	4	no	—
1315	D₄	—	4	4	no	—
1316	D₄	—	4	4	no	—
1317	D₄	—	4	4	no	—
1318	D₄	—	4	1	no	—
1319	D₄	—	4	8	no	—
1320	D₄	—	4	8	no	—
1321	D₄	—	4	4	no	—
1322	C₂×C₄	—	2	8	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	8	no	—
1326	C₂×C₄	—	2	4	no	—
1327	C₂×C₄	—	2	8	no	—
1328	C₂×C₄	—	2	8	no	—
1329	C₂×C₄	—	2	4	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	4	4	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	4	4	no	—
1336	C₂×C₄	—	4	4	no	—
1337	C₂×C₄	—	4	8	no	—
1338	C₂×C₄	—	4	8	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	8	no	—
1341	C₂×C₄	—	4	8	no	—
1342	C₂×C₄	—	4	2	no	—
1343	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1344	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1345	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1346	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1347	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1348	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1349	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1350	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1351	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1352	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1353	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1354	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1355	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1356	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1357	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1358	C₂×C₃	—	2	2	no	—
1359	C₂×C₃	—	4	4	no	—
1360	C₂×C₃	—	4	4	no	—
1361	C₂×C₃	—	4	2	no	—
1362	C₂×C₃	—	4	4	no	—
1363	C₂×C₃	C₂×#585	1	1	yes	characteristic
1364	C₂×C₃	C₂×#585	1	2	yes	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	4	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	4	no	—
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	4	no	—
1372	C₂²	—	2	4	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	4	no	—
1377	C₂²	—	2	4	no	—
1378	C₂²	—	8	8	no	—
1379	C₂²	—	8	8	no	—
1380	C₂²	C₃×#585	1	2	yes	—
1381	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1382	C₄	—	2	2	no	—
1383	C₄	—	2	4	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	2	4	no	—
1388	C₄	—	2	1	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	4	no	—
1391	C₄	—	2	1	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	4	no	—
1394	C₄	—	2	8	no	—
1395	C₄	—	2	4	no	—
1396	C₄	C₃×#585	1	4	yes	—
1397	C₃	#63028	1	1	yes	characteristic, direct product factor, Sylow
1398	C₂	—	2	2	no	—
1399	C₂	—	4	2	no	—
1400	C₂	—	4	4	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	4	no	—
1403	C₂	C₂×C₃×#585	1	1	yes	characteristic
1404	C₂	C₂×C₃×#585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3566	C₂	semidirect
2. C₃×#3565	C₂	semidirect
3. C₃×#3547	C₂	semidirect
4. C₃×#3545	C₂	semidirect
5. C₃×#3544	C₂	semidirect
6. C₃×#3542	C₂	semidirect
7. C₃×#3540	C₂	semidirect
8. C₃×#3524	C₂	semidirect
9. C₃×#3520	C₂	semidirect
10. C₃×#3518	C₂	semidirect
11. C₃×#3510	C₂	semidirect
12. C₃×#3509	C₂	semidirect
13. C₃×#3506	C₂	semidirect
14. C₃×#3505	C₂	semidirect
15. C₃×#3495	C₂	semidirect
16. C₃×#3493	C₂	semidirect
17. C₃×#3481	C₂	semidirect
18. C₃×#3475	C₂	semidirect
19. C₃×#3475	C₂	semidirect
20. C₂×C₃×#555	C₂	semidirect
21. #63028	C₃	direct (N × H)
22. C₃×#563	C₂²	semidirect
23. C₃×#563	C₂²	semidirect
24. C₃×#562	C₂²	semidirect
25. C₃×#562	C₂²	semidirect
26. C₃×H(3,𝔽₄)	C₂²	semidirect
27. C₃×#560	C₂²	semidirect
28. C₃×#559	C₂²	semidirect
29. C₃×#559	C₂²	semidirect
30. C₃×#559	C₂²	semidirect
31. C₃×Q₈²	C₂²	semidirect
32. C₃×#557	C₂²	semidirect
33. C₃×#556	C₂²	semidirect
34. C₃×#556	C₂²	semidirect
35. C₃×#556	C₂²	semidirect
36. C₃×#556	C₂²	semidirect
37. C₃×#556	C₂²	semidirect
38. C₃×#556	C₂²	semidirect
39. C₃×#556	C₂²	semidirect
41. C₃×#555	C₂²	semidirect
42. C₃×#555	C₂²	semidirect
43. C₃×#555	C₂²	semidirect
44. C₃×#555	C₂²	semidirect
45. C₃×#555	C₂²	semidirect
46. C₃×#555	C₂²	semidirect
47. C₃×#555	C₂²	semidirect
48. C₃×#555	C₂²	semidirect
49. C₃×#555	C₂²	semidirect
50. C₃×#555	C₂²	semidirect
51. C₃×#554	C₂²	semidirect
52. C₃×#554	C₂²	semidirect
53. C₃×#554	C₂²	semidirect
54. C₃×#554	C₂²	semidirect
56. C₃×#553	C₂²	semidirect
57. C₃×#553	C₂²	semidirect
58. C₃×#553	C₂²	semidirect
59. C₃×#553	C₂²	semidirect
60. C₃×#553	C₂²	semidirect
61. C₃×#553	C₂²	semidirect
62. C₃×#553	C₂²	semidirect
63. C₃×#553	C₂²	semidirect
64. C₃×#552	C₂²	semidirect
65. C₃×#552	C₂²	semidirect
66. C₃×#552	C₂²	semidirect
67. C₃×#552	C₂²	semidirect
68. C₃×#552	C₂²	semidirect
69. C₃×#552	C₂²	semidirect
70. C₃×#552	C₂²	semidirect
71. C₃×#552	C₂²	semidirect
72. C₃×#552	C₂²	semidirect
73. C₃×#552	C₂²	semidirect
74. C₃×#551	C₂²	semidirect
75. C₃×#551	C₂²	semidirect
76. C₃×#551	C₂²	semidirect
77. C₃×#551	C₂²	semidirect
78. C₃×#551	C₂²	semidirect
79. C₃×#551	C₂²	semidirect
80. C₃×#551	C₂²	semidirect
81. C₃×#551	C₂²	semidirect
82. C₃×#550	C₂²	semidirect
83. C₃×D₄×Q₈	C₂²	semidirect
84. C₃×#548	C₂²	semidirect
85. C₃×#548	C₂²	semidirect
86. C₃×#548	C₂²	semidirect
87. C₃×#547	C₂²	semidirect
88. C₃×#547	C₂²	semidirect
89. C₃×#547	C₂²	semidirect
92. C₃×#546	C₂²	semidirect
93. C₃×#546	C₂²	semidirect
94. C₃×#546	C₂²	semidirect
95. C₃×#546	C₂²	semidirect
96. C₃×D₄²	C₂²	semidirect
97. C₃×#544	C₂²	semidirect
98. C₃×#544	C₂²	semidirect
99. C₃×#542	C₂²	semidirect
100. C₃×#542	C₂²	semidirect
101. C₃×#542	C₂²	semidirect
102. C₃×#542	C₂²	semidirect
103. C₃×#542	C₂²	semidirect
104. C₃×#542	C₂²	semidirect
105. C₃×#542	C₂²	semidirect
106. C₃×#542	C₂²	semidirect
107. C₃×#541	C₂²	semidirect
108. C₃×#541	C₂²	semidirect
109. C₃×#540	C₂²	semidirect
110. C₃×#540	C₂²	semidirect
111. C₃×#539	C₂²	semidirect
112. C₃×#539	C₂²	semidirect
113. C₃×#538	C₂²	semidirect
114. C₃×#538	C₂²	semidirect
115. C₃×#538	C₂²	semidirect
116. C₃×#538	C₂²	semidirect
117. C₃×#537	C₂²	semidirect
119. C₃×#536	C₂²	semidirect
120. C₃×#536	C₂²	semidirect
122. C₃×#535	C₂²	semidirect
123. C₃×#534	C₂²	semidirect
124. C₃×#533	C₂²	semidirect
125. C₃×#533	C₂²	semidirect
126. C₃×#533	C₂²	semidirect
127. C₃×#533	C₂²	semidirect
128. C₃×#533	C₂²	semidirect
129. C₃×#532	C₂²	semidirect
130. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
131. C₃×#529	C₂²	semidirect
132. C₃×#529	C₂²	semidirect
133. C₃×#529	C₂²	semidirect
134. C₃×#529	C₂²	semidirect
135. C₃×#529	C₂²	semidirect
136. C₃×#529	C₂²	semidirect
137. C₃×#529	C₂²	semidirect
138. C₃×#529	C₂²	semidirect
139. C₃×#529	C₂²	semidirect
140. C₃×#529	C₂²	semidirect
141. C₂×C₃×#124	C₂²	semidirect
143. C₃×#525	C₂²	semidirect
144. C₃×#525	C₂²	semidirect
145. C₃×#525	C₂²	semidirect
146. C₃×#525	C₂²	semidirect
147. C₃×#525	C₂²	semidirect
148. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
149. C₂×C₃×#121	C₂²	semidirect
150. C₃×#520	C₂²	semidirect
151. C₃×#520	C₂²	semidirect
152. C₃×#519	C₂²	semidirect
153. C₃×#519	C₂²	semidirect
154. C₃×#518	C₂²	semidirect
156. C₃×C₄×#41	C₂²	semidirect
157. C₃×C₄×#41	C₂²	semidirect
158. C₃×C₄×#41	C₂²	semidirect
159. C₂×C₃×C₄×D₄	C₂²	semidirect
160. C₂×C₃×C₄×D₄	C₂²	semidirect
161. C₂×C₃×C₄×D₄	C₂²	semidirect
162. C₂×C₃×#117	C₂²	semidirect
163. C₂×C₃×#117	C₂²	semidirect
164. #3566	C₂×C₃	semidirect
165. #3565	C₂×C₃	semidirect
166. #3547	C₂×C₃	semidirect
167. #3545	C₂×C₃	semidirect
168. #3544	C₂×C₃	semidirect
169. #3542	C₂×C₃	semidirect
170. #3540	C₂×C₃	semidirect
171. #3524	C₂×C₃	semidirect
172. #3520	C₂×C₃	semidirect
173. #3518	C₂×C₃	semidirect
174. #3510	C₂×C₃	semidirect
175. #3509	C₂×C₃	semidirect
176. #3506	C₂×C₃	semidirect
177. #3505	C₂×C₃	semidirect
178. #3495	C₂×C₃	semidirect
179. #3493	C₂×C₃	semidirect
180. #3481	C₂×C₃	semidirect
181. #3475	C₂×C₃	semidirect
182. #3475	C₂×C₃	semidirect
183. C₂×#555	C₂×C₃	semidirect
452. #563	C₂²×C₃	semidirect
453. #563	C₂²×C₃	semidirect
454. #562	C₂²×C₃	semidirect
455. #562	C₂²×C₃	semidirect
456. H(3,𝔽₄)	C₂²×C₃	semidirect
457. #560	C₂²×C₃	semidirect
458. #559	C₂²×C₃	semidirect
459. #559	C₂²×C₃	semidirect
460. #559	C₂²×C₃	semidirect
461. Q₈²	C₂²×C₃	semidirect
462. #557	C₂²×C₃	semidirect
463. #556	C₂²×C₃	semidirect
464. #556	C₂²×C₃	semidirect
465. #556	C₂²×C₃	semidirect
466. #556	C₂²×C₃	semidirect
467. #556	C₂²×C₃	semidirect
468. #556	C₂²×C₃	semidirect
469. #556	C₂²×C₃	semidirect
471. #555	C₂²×C₃	semidirect
472. #555	C₂²×C₃	semidirect
473. #555	C₂²×C₃	semidirect
474. #555	C₂²×C₃	semidirect
475. #555	C₂²×C₃	semidirect
476. #555	C₂²×C₃	semidirect
477. #555	C₂²×C₃	semidirect
478. #555	C₂²×C₃	semidirect
479. #555	C₂²×C₃	semidirect
480. #555	C₂²×C₃	semidirect
481. #554	C₂²×C₃	semidirect
482. #554	C₂²×C₃	semidirect
483. #554	C₂²×C₃	semidirect
484. #554	C₂²×C₃	semidirect
486. #553	C₂²×C₃	semidirect
487. #553	C₂²×C₃	semidirect
488. #553	C₂²×C₃	semidirect
489. #553	C₂²×C₃	semidirect
490. #553	C₂²×C₃	semidirect
491. #553	C₂²×C₃	semidirect
492. #553	C₂²×C₃	semidirect
493. #553	C₂²×C₃	semidirect
494. #552	C₂²×C₃	semidirect
495. #552	C₂²×C₃	semidirect
496. #552	C₂²×C₃	semidirect
497. #552	C₂²×C₃	semidirect
498. #552	C₂²×C₃	semidirect
499. #552	C₂²×C₃	semidirect
500. #552	C₂²×C₃	semidirect
501. #552	C₂²×C₃	semidirect
502. #552	C₂²×C₃	semidirect
503. #552	C₂²×C₃	semidirect
504. #551	C₂²×C₃	semidirect
505. #551	C₂²×C₃	semidirect
506. #551	C₂²×C₃	semidirect
507. #551	C₂²×C₃	semidirect
508. #551	C₂²×C₃	semidirect
509. #551	C₂²×C₃	semidirect
510. #551	C₂²×C₃	semidirect
511. #551	C₂²×C₃	semidirect
512. #550	C₂²×C₃	semidirect
513. D₄×Q₈	C₂²×C₃	semidirect
514. #548	C₂²×C₃	semidirect
515. #548	C₂²×C₃	semidirect
516. #548	C₂²×C₃	semidirect
517. #547	C₂²×C₃	semidirect
518. #547	C₂²×C₃	semidirect
519. #547	C₂²×C₃	semidirect
522. #546	C₂²×C₃	semidirect
523. #546	C₂²×C₃	semidirect
524. #546	C₂²×C₃	semidirect
525. #546	C₂²×C₃	semidirect
526. D₄²	C₂²×C₃	semidirect
527. #544	C₂²×C₃	semidirect
528. #544	C₂²×C₃	semidirect
529. #542	C₂²×C₃	semidirect
530. #542	C₂²×C₃	semidirect
531. #542	C₂²×C₃	semidirect
532. #542	C₂²×C₃	semidirect
533. #542	C₂²×C₃	semidirect
534. #542	C₂²×C₃	semidirect
535. #542	C₂²×C₃	semidirect
536. #542	C₂²×C₃	semidirect
537. #541	C₂²×C₃	semidirect
538. #541	C₂²×C₃	semidirect
539. #540	C₂²×C₃	semidirect
540. #540	C₂²×C₃	semidirect
541. #539	C₂²×C₃	semidirect
542. #539	C₂²×C₃	semidirect
543. #538	C₂²×C₃	semidirect
544. #538	C₂²×C₃	semidirect
545. #538	C₂²×C₃	semidirect
546. #538	C₂²×C₃	semidirect
547. #537	C₂²×C₃	semidirect
549. #536	C₂²×C₃	semidirect
550. #536	C₂²×C₃	semidirect
552. #535	C₂²×C₃	semidirect
553. #534	C₂²×C₃	semidirect
554. #533	C₂²×C₃	semidirect
555. #533	C₂²×C₃	semidirect
556. #533	C₂²×C₃	semidirect
557. #533	C₂²×C₃	semidirect
558. #533	C₂²×C₃	semidirect
559. #532	C₂²×C₃	semidirect
560. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
561. #529	C₂²×C₃	semidirect
562. #529	C₂²×C₃	semidirect
563. #529	C₂²×C₃	semidirect
564. #529	C₂²×C₃	semidirect
565. #529	C₂²×C₃	semidirect
566. #529	C₂²×C₃	semidirect
567. #529	C₂²×C₃	semidirect
568. #529	C₂²×C₃	semidirect
569. #529	C₂²×C₃	semidirect
570. #529	C₂²×C₃	semidirect
571. C₂×#124	C₂²×C₃	semidirect
573. #525	C₂²×C₃	semidirect
574. #525	C₂²×C₃	semidirect
575. #525	C₂²×C₃	semidirect
576. #525	C₂²×C₃	semidirect
577. #525	C₂²×C₃	semidirect
578. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
579. C₂×#121	C₂²×C₃	semidirect
580. #520	C₂²×C₃	semidirect
581. #520	C₂²×C₃	semidirect
582. #519	C₂²×C₃	semidirect
583. #519	C₂²×C₃	semidirect
584. #518	C₂²×C₃	semidirect
586. C₄×#41	C₂²×C₃	semidirect
587. C₄×#41	C₂²×C₃	semidirect
588. C₄×#41	C₂²×C₃	semidirect
589. C₂×C₄×D₄	C₂²×C₃	semidirect
590. C₂×C₄×D₄	C₂²×C₃	semidirect
591. C₂×C₄×D₄	C₂²×C₃	semidirect
592. C₂×#117	C₂²×C₃	semidirect
593. C₂×#117	C₂²×C₃	semidirect
1397. C₃	#63028	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#3566	2
C₃×#3565	2
C₃×#3547	2
C₃×#3545	2
C₃×#3544	2
C₃×#3542	2
C₃×#3540	2
C₃×#3524	2
C₃×#3520	2
C₃×#3518	2
C₃×#3510	2
C₃×#3509	2
C₃×#3506	2
C₃×#3505	2
C₃×#3495	2
C₃×#3493	2
C₃×#3481	2
C₃×#3475	2
C₂×C₃×#555	2
#63028	3

Subgroups — C3×#63028 #10681635

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#63028 #10681635