Subgroups — C₃×#63063 #10681670

Order 768.

6916 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3561	C₂	1	2	yes	maximal, complemented
2	C₃×#3560	C₂	1	8	yes	maximal, complemented
3	C₃×#3559	C₂	1	4	yes	maximal, complemented
4	C₃×#3552	C₂	1	4	yes	maximal, complemented
5	C₃×#3551	C₂	1	2	yes	maximal, complemented
6	C₃×#3550	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3545	C₂	1	2	yes	maximal, complemented
8	C₃×#3544	C₂	1	4	yes	maximal, complemented
9	C₃×#3541	C₂	1	4	yes	maximal, complemented
10	C₃×#3538	C₂	1	2	yes	maximal, complemented
11	C₃×#3535	C₂	1	8	yes	maximal, complemented
12	C₃×#3533	C₂	1	4	yes	maximal, complemented
13	C₃×#3529	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₃×#563	C₂	1	2	yes	maximal, complemented
15	C₃×#3521	C₂	1	4	yes	maximal, complemented
16	C₃×#3515	C₂	1	2	yes	maximal, complemented
17	C₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3499	C₂	1	2	yes	maximal, complemented
19	C₃×#3489	C₂	1	4	yes	maximal, complemented
20	C₃×#3485	C₂	1	2	yes	maximal, complemented
21	#63063	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
22	C₂×C₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
23	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
25	C₂²×C₃×#41	C₂²	1	2	yes	complemented
26	C₃×#563	C₂²	1	1	yes	characteristic, complemented
27	C₃×#563	C₂²	1	4	yes	complemented
28	C₃×#563	C₂²	1	8	yes	complemented
29	C₃×#563	C₂²	1	4	yes	complemented
30	C₃×#563	C₂²	1	2	yes	complemented
31	C₃×#563	C₂²	1	8	yes	complemented
32	C₃×#563	C₂²	1	4	yes	complemented
33	C₃×#563	C₂²	1	2	yes	complemented
34	C₃×#563	C₂²	1	4	yes	complemented
35	C₃×#563	C₂²	1	8	yes	complemented
36	C₃×#563	C₂²	1	2	yes	complemented
37	C₃×#562	C₂²	1	4	yes	complemented
38	C₃×#562	C₂²	1	2	yes	complemented
39	C₃×#562	C₂²	1	8	yes	complemented
40	C₃×#562	C₂²	1	4	yes	complemented
41	C₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
42	C₃×#560	C₂²	1	2	yes	complemented
43	C₃×#560	C₂²	1	4	yes	complemented
44	C₃×#560	C₂²	1	4	yes	complemented
45	C₃×#559	C₂²	1	2	yes	complemented
46	C₃×Q₈²	C₂²	1	2	yes	complemented
47	C₃×#557	C₂²	1	2	yes	complemented
48	C₃×#556	C₂²	1	4	yes	complemented
49	C₃×#556	C₂²	1	4	yes	complemented
50	C₃×#555	C₂²	1	4	yes	complemented
51	C₃×#554	C₂²	1	2	yes	complemented
52	C₃×#554	C₂²	1	2	yes	complemented
53	C₃×#554	C₂²	1	8	yes	complemented
54	C₃×#554	C₂²	1	8	yes	complemented
55	C₃×#553	C₂²	1	4	yes	complemented
56	C₃×#553	C₂²	1	4	yes	complemented
57	C₃×#553	C₂²	1	8	yes	complemented
58	C₃×#553	C₂²	1	8	yes	complemented
59	C₃×#553	C₂²	1	8	yes	complemented
60	C₃×#552	C₂²	1	8	yes	complemented
61	C₃×#552	C₂²	1	4	yes	complemented
62	C₃×#552	C₂²	1	4	yes	complemented
63	C₃×#552	C₂²	1	8	yes	complemented
64	C₃×#552	C₂²	1	4	yes	complemented
65	C₃×#551	C₂²	1	8	yes	complemented
66	C₃×#551	C₂²	1	8	yes	complemented
67	C₃×#551	C₂²	1	4	yes	complemented
68	C₃×#551	C₂²	1	4	yes	complemented
69	C₃×#551	C₂²	1	8	yes	complemented
70	C₃×#551	C₂²	1	4	yes	complemented
71	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
72	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
73	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
74	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
75	C₃×#548	C₂²	1	4	yes	complemented
76	C₃×#548	C₂²	1	4	yes	complemented
77	C₃×#548	C₂²	1	4	yes	complemented
78	C₃×#547	C₂²	1	4	yes	—
79	C₃×#547	C₂²	1	4	yes	complemented
80	C₃×#547	C₂²	1	8	yes	complemented
81	C₃×#547	C₂²	1	2	yes	complemented
82	C₃×#547	C₂²	1	4	yes	complemented
83	C₃×#547	C₂²	1	8	yes	complemented
84	C₃×#547	C₂²	1	8	yes	complemented
85	C₃×#547	C₂²	1	8	yes	complemented
86	C₃×#547	C₂²	1	8	yes	complemented
87	C₃×#546	C₂²	1	4	yes	—
88	C₃×#546	C₂²	1	8	yes	—
89	C₃×#546	C₂²	1	4	yes	complemented
90	C₃×#546	C₂²	1	4	yes	complemented
91	C₃×#546	C₂²	1	8	yes	complemented
92	C₃×#546	C₂²	1	8	yes	complemented
93	C₃×#546	C₂²	1	8	yes	complemented
94	C₃×#544	C₂²	1	8	yes	complemented
95	C₃×#544	C₂²	1	8	yes	complemented
96	C₃×#543	C₂²	1	4	yes	complemented
97	C₃×#542	C₂²	1	4	yes	complemented
98	C₃×#542	C₂²	1	8	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×#541	C₂²	1	4	yes	complemented
103	C₃×#541	C₂²	1	4	yes	complemented
104	C₃×#540	C₂²	1	8	yes	complemented
105	C₃×#539	C₂²	1	8	yes	complemented
106	C₃×#539	C₂²	1	8	yes	complemented
107	C₃×#539	C₂²	1	8	yes	complemented
108	C₃×#539	C₂²	1	8	yes	complemented
109	C₃×#539	C₂²	1	8	yes	complemented
110	C₃×#539	C₂²	1	8	yes	complemented
111	C₃×#538	C₂²	1	8	yes	complemented
112	C₃×#538	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	4	yes	complemented
116	C₃×#537	C₂²	1	4	yes	complemented
117	C₃×#537	C₂²	1	8	yes	complemented
118	C₃×#536	C₂²	1	2	yes	—
119	C₃×#536	C₂²	1	1	yes	characteristic
120	C₃×#536	C₂²	1	2	yes	complemented
121	C₃×#536	C₂²	1	8	yes	complemented
122	C₃×#536	C₂²	1	4	yes	complemented
123	C₃×#536	C₂²	1	4	yes	complemented
124	C₃×#536	C₂²	1	2	yes	complemented
125	C₃×#536	C₂²	1	4	yes	complemented
126	C₃×#536	C₂²	1	2	yes	complemented
127	C₃×#536	C₂²	1	2	yes	complemented
128	C₃×#535	C₂²	1	2	yes	—
129	C₃×#535	C₂²	1	1	yes	characteristic, complemented
130	C₃×#534	C₂²	1	4	yes	—
131	C₃×#534	C₂²	1	4	yes	complemented
132	C₃×#533	C₂²	1	2	yes	complemented
133	C₃×#532	C₂²	1	1	yes	characteristic
134	C₃×#532	C₂²	1	2	yes	complemented
135	C₃×#532	C₂²	1	4	yes	complemented
136	C₃×#532	C₂²	1	2	yes	complemented
137	C₂×C₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
138	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
139	C₃×#529	C₂²	1	2	yes	complemented
140	C₃×#529	C₂²	1	4	yes	complemented
141	C₃×#529	C₂²	1	4	yes	complemented
142	C₃×#529	C₂²	1	8	yes	complemented
143	C₃×#529	C₂²	1	4	yes	complemented
144	C₂×C₃×#126	C₂²	1	8	yes	complemented
145	C₂×C₃×#125	C₂²	1	4	yes	complemented
146	C₂×C₃×#124	C₂²	1	2	yes	—
147	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
148	C₃×#525	C₂²	1	2	yes	—
149	C₃×#525	C₂²	1	2	yes	complemented
150	C₃×#525	C₂²	1	4	yes	complemented
151	C₃×#525	C₂²	1	8	yes	complemented
152	C₂×C₃×#123	C₂²	1	4	yes	—
153	C₂×C₃×#123	C₂²	1	4	yes	complemented
154	C₂×C₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
155	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
156	C₃×#520	C₂²	1	4	yes	complemented
157	C₃×#518	C₂²	1	2	yes	complemented
158	C₃×C₄×#41	C₂²	1	2	yes	complemented
159	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
160	#3561	C₂×C₃	1	2	yes	complemented
161	#3560	C₂×C₃	1	8	yes	complemented
162	#3559	C₂×C₃	1	4	yes	complemented
163	#3552	C₂×C₃	1	4	yes	complemented
164	#3551	C₂×C₃	1	2	yes	complemented
165	#3550	C₂×C₃	1	1	yes	characteristic, complemented
166	#3545	C₂×C₃	1	2	yes	complemented
167	#3544	C₂×C₃	1	4	yes	complemented
168	#3541	C₂×C₃	1	4	yes	complemented
169	#3538	C₂×C₃	1	2	yes	complemented
170	#3535	C₂×C₃	1	8	yes	complemented
171	#3533	C₂×C₃	1	4	yes	complemented
172	#3529	C₂×C₃	1	1	yes	characteristic, complemented
173	C₂×#563	C₂×C₃	1	2	yes	complemented
174	#3521	C₂×C₃	1	4	yes	complemented
175	#3515	C₂×C₃	1	2	yes	complemented
176	#3500	C₂×C₃	1	1	yes	characteristic, complemented
177	#3499	C₂×C₃	1	2	yes	complemented
178	#3489	C₂×C₃	1	4	yes	complemented
179	#3485	C₂×C₃	1	2	yes	complemented
180	C₃×2₋¹⁺⁴	—	4	8	no	—
181	C₃×2₋¹⁺⁴	—	4	4	no	—
182	C₃×H(5,𝔽₂)	—	4	4	no	—
183	C₂×C₃×#41	—	4	8	no	—
184	C₂×C₃×#41	C₂³	1	4	yes	—
185	C₂×C₃×#41	C₂³	1	1	yes	characteristic
186	C₂×C₃×#41	C₂³	1	2	yes	—
187	C₂×C₃×#41	C₂³	1	8	yes	—
188	C₂×C₃×#41	C₂³	1	4	yes	—
189	C₂×C₃×#41	C₂³	1	1	yes	characteristic
190	C₂×C₃×#41	C₂³	1	2	yes	—
191	C₂×C₃×#41	C₂³	1	2	yes	—
192	C₂×C₃×#41	C₂³	1	2	yes	—
193	C₂×C₃×#41	C₂³	1	8	yes	—
194	C₂×C₃×#41	C₂³	1	1	yes	characteristic
195	C₂×C₃×#41	C₂³	1	2	yes	—
196	C₂×C₃×#41	C₂³	1	4	yes	—
197	C₂×C₃×#41	C₂³	1	4	yes	—
198	C₂²×C₃×Q₈	C₂³	1	2	yes	—
199	C₂²×C₃×Q₈	C₂³	1	4	yes	—
200	C₂²×C₃×Q₈	C₂³	1	4	yes	—
201	C₂²×C₃×Q₈	C₂³	1	2	yes	—
202	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
203	C₂²×C₃×Q₈	C₂³	1	2	yes	—
204	C₂²×C₃×Q₈	C₂³	1	2	yes	—
205	C₂²×C₃×D₄	C₂³	1	2	yes	—
206	C₂²×C₃×D₄	C₂³	1	4	yes	—
207	C₂²×C₃×D₄	C₂³	1	2	yes	—
208	C₂²×C₃×D₄	C₂³	1	4	yes	—
209	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
210	C₂³×C₃×C₄	C₂³	1	4	yes	—
211	C₂³×C₃×C₄	C₂³	1	2	yes	—
212	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
214	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
216	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
217	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
218	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
219	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
220	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
221	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
222	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
223	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
224	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
225	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
226	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
227	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
228	C₃×#127	C₂³	1	1	yes	characteristic
229	C₃×#127	C₂³	1	2	yes	—
230	C₃×#127	C₂³	1	2	yes	—
231	C₃×#126	C₂³	1	4	yes	—
232	C₃×#126	C₂³	1	8	yes	—
233	C₃×#126	C₂³	1	4	yes	—
234	C₃×#126	C₂³	1	4	yes	—
235	C₃×#126	C₂³	1	8	yes	—
236	C₃×#126	C₂³	1	8	yes	—
237	C₃×#126	C₂³	1	8	yes	—
238	C₃×#126	C₂³	1	8	yes	—
239	C₃×#126	C₂³	1	8	yes	—
240	C₃×#126	C₂³	1	8	yes	—
241	C₃×#126	C₂³	1	8	yes	—
242	C₃×#126	C₂³	1	8	yes	—
243	C₃×#126	C₂³	1	8	yes	—
244	C₃×#126	C₂³	1	8	yes	—
245	C₃×#126	C₂³	1	8	yes	—
246	C₃×#126	C₂³	1	8	yes	—
247	C₃×#125	C₂³	1	2	yes	—
248	C₃×#125	C₂³	1	4	yes	—
249	C₃×#125	C₂³	1	4	yes	—
250	C₃×#125	C₂³	1	8	yes	—
251	C₃×#125	C₂³	1	4	yes	—
252	C₃×#125	C₂³	1	4	yes	—
253	C₃×#125	C₂³	1	8	yes	—
254	C₃×#125	C₂³	1	8	yes	—
255	C₃×#125	C₂³	1	8	yes	—
256	C₃×#125	C₂³	1	8	yes	—
257	C₃×#125	C₂³	1	8	yes	—
258	C₃×#125	C₂³	1	8	yes	—
259	C₃×#125	C₂³	1	4	yes	—
260	C₃×#124	C₂³	1	8	yes	—
261	C₃×#124	C₂³	1	2	yes	—
262	C₃×#124	C₂³	1	4	yes	—
263	C₃×#124	C₂³	1	1	yes	characteristic
264	C₃×#124	C₂³	1	2	yes	—
265	C₃×#124	C₂³	1	2	yes	—
266	C₃×#124	C₂³	1	1	yes	characteristic
267	C₃×#124	C₂³	1	2	yes	—
268	C₃×#124	C₂³	1	8	yes	—
269	C₃×#124	C₂³	1	2	yes	—
270	C₃×#124	C₂³	1	2	yes	—
271	C₃×#124	C₂³	1	8	yes	—
272	C₃×#124	C₂³	1	4	yes	—
273	C₃×#124	C₂³	1	8	yes	—
274	C₃×#124	C₂³	1	2	yes	—
275	C₃×#124	C₂³	1	4	yes	—
276	C₃×#124	C₂³	1	4	yes	—
277	C₃×#124	C₂³	1	8	yes	—
278	C₃×#124	C₂³	1	4	yes	—
279	C₃×#124	C₂³	1	4	yes	—
280	C₃×#123	C₂³	1	4	yes	—
281	C₃×#123	C₂³	1	4	yes	—
282	C₃×#123	C₂³	1	4	yes	—
283	C₃×#123	C₂³	1	4	yes	—
284	C₃×#123	C₂³	1	4	yes	—
285	C₃×#123	C₂³	1	2	yes	—
286	C₃×#123	C₂³	1	4	yes	—
287	C₃×#123	C₂³	1	4	yes	—
288	C₃×#123	C₂³	1	8	yes	—
289	C₃×#123	C₂³	1	4	yes	—
290	C₃×#123	C₂³	1	2	yes	—
291	C₃×#123	C₂³	1	4	yes	—
292	C₃×#123	C₂³	1	8	yes	—
293	C₃×#123	C₂³	1	8	yes	—
294	C₃×#123	C₂³	1	8	yes	—
295	C₃×#123	C₂³	1	8	yes	—
296	C₃×#123	C₂³	1	8	yes	—
297	C₃×#123	C₂³	1	4	yes	—
298	C₃×#123	C₂³	1	8	yes	—
299	C₃×#123	C₂³	1	8	yes	—
300	C₃×#123	C₂³	1	8	yes	—
301	C₃×#123	C₂³	1	4	yes	—
302	C₃×#123	C₂³	1	8	yes	—
303	C₃×#123	C₂³	1	4	yes	—
304	C₃×#123	C₂³	1	4	yes	—
305	C₃×#123	C₂³	1	8	yes	—
306	C₃×#123	C₂³	1	8	yes	—
307	C₃×#123	C₂³	1	8	yes	—
308	C₃×#123	C₂³	1	8	yes	—
309	C₃×#123	C₂³	1	8	yes	—
310	C₃×#123	C₂³	1	8	yes	—
311	C₃×#123	C₂³	1	8	yes	—
312	C₃×#123	C₂³	1	8	yes	—
313	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
315	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
317	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
322	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
324	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
332	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
334	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
335	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
336	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
341	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
344	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
346	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
347	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₃×#121	C₂³	1	4	yes	—
349	C₃×#121	C₂³	1	2	yes	—
350	C₃×#121	C₂³	1	4	yes	—
351	C₃×#121	C₂³	1	4	yes	—
352	C₃×#121	C₂³	1	4	yes	—
353	C₃×#121	C₂³	1	4	yes	—
354	C₃×#121	C₂³	1	4	yes	—
355	C₃×#121	C₂³	1	4	yes	—
356	C₃×#121	C₂³	1	8	yes	—
357	C₃×#121	C₂³	1	8	yes	—
358	C₃×#121	C₂³	1	8	yes	—
359	C₃×#121	C₂³	1	8	yes	—
360	C₃×#121	C₂³	1	8	yes	—
361	C₃×#121	C₂³	1	8	yes	—
362	C₃×#121	C₂³	1	8	yes	—
363	C₃×#121	C₂³	1	8	yes	—
364	C₃×#121	C₂³	1	8	yes	—
365	C₃×#121	C₂³	1	4	yes	—
366	C₃×#121	C₂³	1	8	yes	—
367	C₃×#121	C₂³	1	4	yes	—
368	C₃×#121	C₂³	1	4	yes	—
369	C₃×#121	C₂³	1	8	yes	—
370	C₃×#121	C₂³	1	8	yes	—
371	C₃×#121	C₂³	1	8	yes	—
372	C₃×#120	C₂³	1	2	yes	—
373	C₃×#120	C₂³	1	4	yes	—
374	C₃×#120	C₂³	1	2	yes	—
375	C₃×#120	C₂³	1	4	yes	—
376	C₃×#120	C₂³	1	8	yes	—
377	C₃×#120	C₂³	1	4	yes	—
378	C₃×#120	C₂³	1	4	yes	—
379	C₃×#120	C₂³	1	8	yes	—
380	C₃×#120	C₂³	1	8	yes	—
381	C₃×C₄×Q₈	C₂³	1	4	yes	—
382	C₃×C₄×Q₈	C₂³	1	8	yes	—
383	C₃×C₄×Q₈	C₂³	1	2	yes	—
384	C₃×C₄×Q₈	C₂³	1	4	yes	—
385	C₃×C₄×Q₈	C₂³	1	4	yes	—
386	C₃×C₄×Q₈	C₂³	1	4	yes	—
387	C₃×C₄×Q₈	C₂³	1	2	yes	—
388	C₃×C₄×Q₈	C₂³	1	4	yes	—
389	C₃×C₄×D₄	C₂³	1	8	yes	—
390	C₃×C₄×D₄	C₂³	1	4	yes	—
391	C₃×C₄×D₄	C₂³	1	2	yes	—
392	C₃×C₄×D₄	C₂³	1	8	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	8	yes	—
398	C₃×C₄×D₄	C₂³	1	4	yes	—
399	C₃×C₄×D₄	C₂³	1	4	yes	—
400	C₃×C₄×D₄	C₂³	1	2	yes	—
401	C₃×C₄×D₄	C₂³	1	4	yes	—
402	C₃×C₄×D₄	C₂³	1	4	yes	—
403	C₃×C₄×D₄	C₂³	1	8	yes	—
404	C₃×C₄×D₄	C₂³	1	8	yes	—
405	C₃×C₄×D₄	C₂³	1	8	yes	—
406	C₃×C₄×D₄	C₂³	1	8	yes	—
407	C₃×C₄×D₄	C₂³	1	8	yes	—
408	C₃×C₄×D₄	C₂³	1	4	yes	—
409	C₃×C₄×D₄	C₂³	1	8	yes	—
410	C₃×C₄×D₄	C₂³	1	8	yes	—
411	C₃×C₄×D₄	C₂³	1	8	yes	—
412	C₃×C₄×D₄	C₂³	1	8	yes	—
413	C₃×#117	C₂³	1	2	yes	—
414	C₃×#117	C₂³	1	1	yes	characteristic
415	C₃×#117	C₂³	1	4	yes	—
416	C₃×#117	C₂³	1	2	yes	—
417	C₃×#117	C₂³	1	2	yes	—
418	C₃×#117	C₂³	1	2	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	8	yes	—
423	C₃×#117	C₂³	1	8	yes	—
424	C₃×#117	C₂³	1	8	yes	—
425	C₃×#117	C₂³	1	4	yes	—
426	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
427	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
428	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
429	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
430	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
431	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
432	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
433	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
434	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
435	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
436	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
437	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
438	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
439	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
440	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
441	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
442	C₂×C₃×C₄²	C₂³	1	2	yes	—
443	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
444	C₂×C₃×C₄²	C₂³	1	4	yes	—
445	C₂×C₃×C₄²	C₂³	1	2	yes	—
446	C₂×2₋¹⁺⁴	C₂²×C₃	1	2	yes	complemented
447	C₂×2₋¹⁺⁴	C₂²×C₃	1	1	yes	characteristic, complemented
448	C₂×H(5,𝔽₂)	C₂²×C₃	1	1	yes	characteristic
449	C₂²×#41	C₂²×C₃	1	2	yes	complemented
450	#563	C₂²×C₃	1	1	yes	characteristic, complemented
451	#563	C₂²×C₃	1	4	yes	complemented
452	#563	C₂²×C₃	1	8	yes	complemented
453	#563	C₂²×C₃	1	4	yes	complemented
454	#563	C₂²×C₃	1	2	yes	complemented
455	#563	C₂²×C₃	1	8	yes	complemented
456	#563	C₂²×C₃	1	4	yes	complemented
457	#563	C₂²×C₃	1	2	yes	complemented
458	#563	C₂²×C₃	1	4	yes	complemented
459	#563	C₂²×C₃	1	8	yes	complemented
460	#563	C₂²×C₃	1	2	yes	complemented
461	#562	C₂²×C₃	1	4	yes	complemented
462	#562	C₂²×C₃	1	2	yes	complemented
463	#562	C₂²×C₃	1	8	yes	complemented
464	#562	C₂²×C₃	1	4	yes	complemented
465	H(3,𝔽₄)	C₂²×C₃	1	1	yes	characteristic, complemented
466	#560	C₂²×C₃	1	2	yes	complemented
467	#560	C₂²×C₃	1	4	yes	complemented
468	#560	C₂²×C₃	1	4	yes	complemented
469	#559	C₂²×C₃	1	2	yes	complemented
470	Q₈²	C₂²×C₃	1	2	yes	complemented
471	#557	C₂²×C₃	1	2	yes	complemented
472	#556	C₂²×C₃	1	4	yes	complemented
473	#556	C₂²×C₃	1	4	yes	complemented
474	#555	C₂²×C₃	1	4	yes	complemented
475	#554	C₂²×C₃	1	2	yes	complemented
476	#554	C₂²×C₃	1	2	yes	complemented
477	#554	C₂²×C₃	1	8	yes	complemented
478	#554	C₂²×C₃	1	8	yes	complemented
479	#553	C₂²×C₃	1	4	yes	complemented
480	#553	C₂²×C₃	1	4	yes	complemented
481	#553	C₂²×C₃	1	8	yes	complemented
482	#553	C₂²×C₃	1	8	yes	complemented
483	#553	C₂²×C₃	1	8	yes	complemented
484	#552	C₂²×C₃	1	8	yes	complemented
485	#552	C₂²×C₃	1	4	yes	complemented
486	#552	C₂²×C₃	1	4	yes	complemented
487	#552	C₂²×C₃	1	8	yes	complemented
488	#552	C₂²×C₃	1	4	yes	complemented
489	#551	C₂²×C₃	1	8	yes	complemented
490	#551	C₂²×C₃	1	8	yes	complemented
491	#551	C₂²×C₃	1	4	yes	complemented
492	#551	C₂²×C₃	1	4	yes	complemented
493	#551	C₂²×C₃	1	8	yes	complemented
494	#551	C₂²×C₃	1	4	yes	complemented
495	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
496	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
497	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
498	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
499	#548	C₂²×C₃	1	4	yes	complemented
500	#548	C₂²×C₃	1	4	yes	complemented
501	#548	C₂²×C₃	1	4	yes	complemented
502	#547	C₂²×C₃	1	4	yes	—
503	#547	C₂²×C₃	1	4	yes	complemented
504	#547	C₂²×C₃	1	8	yes	complemented
505	#547	C₂²×C₃	1	2	yes	complemented
506	#547	C₂²×C₃	1	4	yes	complemented
507	#547	C₂²×C₃	1	8	yes	complemented
508	#547	C₂²×C₃	1	8	yes	complemented
509	#547	C₂²×C₃	1	8	yes	complemented
510	#547	C₂²×C₃	1	8	yes	complemented
511	#546	C₂²×C₃	1	4	yes	—
512	#546	C₂²×C₃	1	8	yes	—
513	#546	C₂²×C₃	1	4	yes	complemented
514	#546	C₂²×C₃	1	4	yes	complemented
515	#546	C₂²×C₃	1	8	yes	complemented
516	#546	C₂²×C₃	1	8	yes	complemented
517	#546	C₂²×C₃	1	8	yes	complemented
518	#544	C₂²×C₃	1	8	yes	complemented
519	#544	C₂²×C₃	1	8	yes	complemented
520	#543	C₂²×C₃	1	4	yes	complemented
521	#542	C₂²×C₃	1	4	yes	complemented
522	#542	C₂²×C₃	1	8	yes	complemented
523	#542	C₂²×C₃	1	8	yes	complemented
524	#542	C₂²×C₃	1	8	yes	complemented
525	#542	C₂²×C₃	1	8	yes	complemented
526	#541	C₂²×C₃	1	4	yes	complemented
527	#541	C₂²×C₃	1	4	yes	complemented
528	#540	C₂²×C₃	1	8	yes	complemented
529	#539	C₂²×C₃	1	8	yes	complemented
530	#539	C₂²×C₃	1	8	yes	complemented
531	#539	C₂²×C₃	1	8	yes	complemented
532	#539	C₂²×C₃	1	8	yes	complemented
533	#539	C₂²×C₃	1	8	yes	complemented
534	#539	C₂²×C₃	1	8	yes	complemented
535	#538	C₂²×C₃	1	8	yes	complemented
536	#538	C₂²×C₃	1	8	yes	complemented
537	#538	C₂²×C₃	1	8	yes	complemented
538	#538	C₂²×C₃	1	8	yes	complemented
539	#538	C₂²×C₃	1	4	yes	complemented
540	#537	C₂²×C₃	1	4	yes	complemented
541	#537	C₂²×C₃	1	8	yes	complemented
542	#536	C₂²×C₃	1	2	yes	—
543	#536	C₂²×C₃	1	1	yes	characteristic
544	#536	C₂²×C₃	1	2	yes	complemented
545	#536	C₂²×C₃	1	8	yes	complemented
546	#536	C₂²×C₃	1	4	yes	complemented
547	#536	C₂²×C₃	1	4	yes	complemented
548	#536	C₂²×C₃	1	2	yes	complemented
549	#536	C₂²×C₃	1	4	yes	complemented
550	#536	C₂²×C₃	1	2	yes	complemented
551	#536	C₂²×C₃	1	2	yes	complemented
552	#535	C₂²×C₃	1	2	yes	—
553	#535	C₂²×C₃	1	1	yes	characteristic, complemented
554	#534	C₂²×C₃	1	4	yes	—
555	#534	C₂²×C₃	1	4	yes	complemented
556	#533	C₂²×C₃	1	2	yes	complemented
557	#532	C₂²×C₃	1	1	yes	characteristic
558	#532	C₂²×C₃	1	2	yes	complemented
559	#532	C₂²×C₃	1	4	yes	complemented
560	#532	C₂²×C₃	1	2	yes	complemented
561	C₂×C₄⋊Q₈	C₂²×C₃	1	4	yes	complemented
562	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
563	#529	C₂²×C₃	1	2	yes	complemented
564	#529	C₂²×C₃	1	4	yes	complemented
565	#529	C₂²×C₃	1	4	yes	complemented
566	#529	C₂²×C₃	1	8	yes	complemented
567	#529	C₂²×C₃	1	4	yes	complemented
568	C₂×#126	C₂²×C₃	1	8	yes	complemented
569	C₂×#125	C₂²×C₃	1	4	yes	complemented
570	C₂×#124	C₂²×C₃	1	2	yes	—
571	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
572	#525	C₂²×C₃	1	2	yes	—
573	#525	C₂²×C₃	1	2	yes	complemented
574	#525	C₂²×C₃	1	4	yes	complemented
575	#525	C₂²×C₃	1	8	yes	complemented
576	C₂×#123	C₂²×C₃	1	4	yes	—
577	C₂×#123	C₂²×C₃	1	4	yes	complemented
578	C₂×C₂²⋊Q₈	C₂²×C₃	1	8	yes	complemented
579	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
580	#520	C₂²×C₃	1	4	yes	complemented
581	#518	C₂²×C₃	1	2	yes	complemented
582	C₄×#41	C₂²×C₃	1	2	yes	complemented
583	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
584	C₂⁴×C₃	C₂⁴	1	4	yes	—
585	C₂⁴×C₃	C₂⁴	1	2	yes	—
586	C₂⁴×C₃	C₂⁴	1	2	yes	—
587	C₃×#41	—	2	16	no	—
588	C₃×#41	—	2	4	no	—
589	C₃×#41	—	2	8	no	—
590	C₃×#41	—	4	2	no	—
591	C₃×#41	—	4	4	no	—
592	C₃×#41	—	4	2	no	—
593	C₃×#41	—	4	16	no	—
594	C₃×#41	—	4	4	no	—
595	C₃×#41	—	4	16	no	—
596	C₃×#41	—	4	4	no	—
597	C₃×#41	—	4	8	no	—
598	C₃×#41	—	4	8	no	—
599	C₃×#41	—	4	8	no	—
600	C₃×#41	—	4	4	no	—
601	C₂×C₃×Q₈	—	4	8	no	—
602	C₂×C₃×Q₈	—	4	4	no	—
603	C₂×C₃×Q₈	—	4	4	no	—
604	C₂×C₃×Q₈	—	4	8	no	—
605	C₂×C₃×Q₈	—	4	2	no	—
606	C₂×C₃×Q₈	—	4	4	no	—
607	C₂×C₃×Q₈	—	4	4	no	—
608	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
609	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
610	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
611	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
612	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
613	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
614	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
615	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
616	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
617	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
618	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
619	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
620	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
621	C₂×C₃×D₄	—	2	8	no	—
622	C₂×C₃×D₄	—	4	2	no	—
623	C₂×C₃×D₄	—	4	4	no	—
624	C₂×C₃×D₄	—	4	8	no	—
625	C₂×C₃×D₄	—	4	8	no	—
626	C₂×C₃×D₄	C₂⁴	1	4	yes	—
627	C₂×C₃×D₄	C₂⁴	1	8	yes	—
628	C₂×C₃×D₄	C₂⁴	1	4	yes	—
629	C₂×C₃×D₄	C₂⁴	1	2	yes	—
630	C₂×C₃×D₄	C₂⁴	1	2	yes	—
631	C₂×C₃×D₄	C₂⁴	1	4	yes	—
632	C₂×C₃×D₄	C₂⁴	1	8	yes	—
633	C₂×C₃×D₄	C₂⁴	1	4	yes	—
634	C₂×C₃×D₄	C₂⁴	1	4	yes	—
635	C₂×C₃×D₄	C₂⁴	1	2	yes	—
636	C₂×C₃×D₄	C₂⁴	1	8	yes	—
637	C₂×C₃×D₄	C₂⁴	1	4	yes	—
638	C₂×C₃×D₄	C₂⁴	1	2	yes	—
639	C₂×C₃×D₄	C₂⁴	1	2	yes	—
640	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
641	C₂×C₃×D₄	C₂⁴	1	4	yes	—
642	C₂×C₃×D₄	C₂⁴	1	8	yes	—
643	C₂×C₃×D₄	C₂⁴	1	2	yes	—
644	C₂×C₃×D₄	C₂⁴	1	4	yes	—
645	C₂×C₃×D₄	C₂⁴	1	2	yes	—
646	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
647	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
648	C₂²×C₃×C₄	—	4	4	no	—
649	C₂²×C₃×C₄	—	4	8	no	—
650	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
651	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
652	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
653	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
654	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
655	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
656	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
657	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
658	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
659	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
660	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
661	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
662	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
663	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
664	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
665	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
666	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
667	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
668	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
669	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
670	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
671	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
672	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
673	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
674	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
675	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
676	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
678	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
679	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
680	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
681	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
682	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
683	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
685	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
686	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
687	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
688	C₃×C₄⋊C₄	C₂⁴	1	8	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	4	yes	—
693	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
694	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
695	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
696	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
697	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
698	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
699	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
701	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
702	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
703	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
704	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
705	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
706	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
708	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
709	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
711	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
713	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
714	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
715	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
716	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
717	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
718	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
719	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
720	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
721	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
722	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
723	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
724	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
726	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
727	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
728	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
729	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
730	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
731	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
732	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
733	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
734	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
735	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
736	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
737	C₃×C₄²	C₂⁴	1	1	yes	characteristic
738	C₃×C₄²	C₂⁴	1	2	yes	—
739	C₃×C₄²	C₂⁴	1	2	yes	—
740	C₃×C₄²	C₂⁴	1	2	yes	—
741	C₃×C₄²	C₂⁴	1	4	yes	—
742	C₃×C₄²	C₂⁴	1	2	yes	—
743	C₃×C₄²	C₂⁴	1	8	yes	—
744	C₃×C₄²	C₂⁴	1	4	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	8	yes	—
749	C₃×C₄²	C₂⁴	1	8	yes	—
750	2₋¹⁺⁴	—	4	8	no	—
751	2₋¹⁺⁴	—	4	4	no	—
752	H(5,𝔽₂)	—	4	4	no	—
753	C₂×#41	—	4	8	no	—
754	C₂×#41	C₂³×C₃	1	2	yes	—
755	C₂×#41	C₂³×C₃	1	1	yes	characteristic
756	C₂×#41	C₂³×C₃	1	4	yes	—
757	C₂×#41	C₂³×C₃	1	1	yes	characteristic
758	C₂×#41	C₂³×C₃	1	2	yes	—
759	C₂×#41	C₂³×C₃	1	2	yes	—
760	C₂×#41	C₂³×C₃	1	8	yes	—
761	C₂×#41	C₂³×C₃	1	1	yes	characteristic
762	C₂×#41	C₂³×C₃	1	2	yes	—
763	C₂×#41	C₂³×C₃	1	4	yes	—
764	C₂×#41	C₂³×C₃	1	4	yes	—
765	C₂×#41	C₂³×C₃	1	2	yes	—
766	C₂×#41	C₂³×C₃	1	8	yes	—
767	C₂×#41	C₂³×C₃	1	4	yes	—
768	C₂²×Q₈	C₂³×C₃	1	4	yes	—
769	C₂²×Q₈	C₂³×C₃	1	4	yes	—
770	C₂²×Q₈	C₂³×C₃	1	2	yes	—
771	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
772	C₂²×Q₈	C₂³×C₃	1	2	yes	—
773	C₂²×Q₈	C₂³×C₃	1	2	yes	—
774	C₂²×Q₈	C₂³×C₃	1	2	yes	—
775	C₂²×D₄	C₂³×C₃	1	2	yes	—
776	C₂²×D₄	C₂³×C₃	1	2	yes	—
777	C₂²×D₄	C₂³×C₃	1	4	yes	—
778	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
779	C₂²×D₄	C₂³×C₃	1	4	yes	—
780	C₂³×C₄	C₂³×C₃	1	4	yes	—
781	C₂³×C₄	C₂³×C₃	1	2	yes	—
782	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
783	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
784	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
785	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
786	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
787	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
788	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
789	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
790	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
791	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
792	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
793	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
794	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
795	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
796	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
797	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
798	#127	C₂³×C₃	1	1	yes	characteristic
799	#127	C₂³×C₃	1	2	yes	—
800	#127	C₂³×C₃	1	2	yes	—
801	#126	C₂³×C₃	1	4	yes	—
802	#126	C₂³×C₃	1	8	yes	—
803	#126	C₂³×C₃	1	8	yes	—
804	#126	C₂³×C₃	1	8	yes	—
805	#126	C₂³×C₃	1	8	yes	—
806	#126	C₂³×C₃	1	8	yes	—
807	#126	C₂³×C₃	1	8	yes	—
808	#126	C₂³×C₃	1	8	yes	—
809	#126	C₂³×C₃	1	4	yes	—
810	#126	C₂³×C₃	1	8	yes	—
811	#126	C₂³×C₃	1	4	yes	—
812	#126	C₂³×C₃	1	8	yes	—
813	#126	C₂³×C₃	1	8	yes	—
814	#126	C₂³×C₃	1	8	yes	—
815	#126	C₂³×C₃	1	8	yes	—
816	#126	C₂³×C₃	1	8	yes	—
817	#125	C₂³×C₃	1	2	yes	—
818	#125	C₂³×C₃	1	4	yes	—
819	#125	C₂³×C₃	1	4	yes	—
820	#125	C₂³×C₃	1	4	yes	—
821	#125	C₂³×C₃	1	8	yes	—
822	#125	C₂³×C₃	1	8	yes	—
823	#125	C₂³×C₃	1	8	yes	—
824	#125	C₂³×C₃	1	4	yes	—
825	#125	C₂³×C₃	1	4	yes	—
826	#125	C₂³×C₃	1	8	yes	—
827	#125	C₂³×C₃	1	8	yes	—
828	#125	C₂³×C₃	1	8	yes	—
829	#125	C₂³×C₃	1	8	yes	—
830	#124	C₂³×C₃	1	1	yes	characteristic
831	#124	C₂³×C₃	1	2	yes	—
832	#124	C₂³×C₃	1	2	yes	—
833	#124	C₂³×C₃	1	2	yes	—
834	#124	C₂³×C₃	1	8	yes	—
835	#124	C₂³×C₃	1	2	yes	—
836	#124	C₂³×C₃	1	4	yes	—
837	#124	C₂³×C₃	1	2	yes	—
838	#124	C₂³×C₃	1	4	yes	—
839	#124	C₂³×C₃	1	8	yes	—
840	#124	C₂³×C₃	1	4	yes	—
841	#124	C₂³×C₃	1	1	yes	characteristic
842	#124	C₂³×C₃	1	4	yes	—
843	#124	C₂³×C₃	1	4	yes	—
844	#124	C₂³×C₃	1	2	yes	—
845	#124	C₂³×C₃	1	2	yes	—
846	#124	C₂³×C₃	1	4	yes	—
847	#124	C₂³×C₃	1	8	yes	—
848	#124	C₂³×C₃	1	8	yes	—
849	#124	C₂³×C₃	1	8	yes	—
850	#123	C₂³×C₃	1	2	yes	—
851	#123	C₂³×C₃	1	4	yes	—
852	#123	C₂³×C₃	1	4	yes	—
853	#123	C₂³×C₃	1	4	yes	—
854	#123	C₂³×C₃	1	8	yes	—
855	#123	C₂³×C₃	1	8	yes	—
856	#123	C₂³×C₃	1	2	yes	—
857	#123	C₂³×C₃	1	4	yes	—
858	#123	C₂³×C₃	1	4	yes	—
859	#123	C₂³×C₃	1	8	yes	—
860	#123	C₂³×C₃	1	8	yes	—
861	#123	C₂³×C₃	1	8	yes	—
862	#123	C₂³×C₃	1	8	yes	—
863	#123	C₂³×C₃	1	4	yes	—
864	#123	C₂³×C₃	1	4	yes	—
865	#123	C₂³×C₃	1	8	yes	—
866	#123	C₂³×C₃	1	8	yes	—
867	#123	C₂³×C₃	1	8	yes	—
868	#123	C₂³×C₃	1	8	yes	—
869	#123	C₂³×C₃	1	4	yes	—
870	#123	C₂³×C₃	1	4	yes	—
871	#123	C₂³×C₃	1	4	yes	—
872	#123	C₂³×C₃	1	8	yes	—
873	#123	C₂³×C₃	1	4	yes	—
874	#123	C₂³×C₃	1	8	yes	—
875	#123	C₂³×C₃	1	8	yes	—
876	#123	C₂³×C₃	1	8	yes	—
877	#123	C₂³×C₃	1	4	yes	—
878	#123	C₂³×C₃	1	4	yes	—
879	#123	C₂³×C₃	1	8	yes	—
880	#123	C₂³×C₃	1	8	yes	—
881	#123	C₂³×C₃	1	8	yes	—
882	#123	C₂³×C₃	1	8	yes	—
883	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
884	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
885	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
886	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
887	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
888	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
889	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
890	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
891	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
892	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
893	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
894	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
895	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
896	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
897	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
898	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
899	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
900	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
901	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
902	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
903	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
904	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
905	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
906	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
907	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
908	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
909	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
910	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
911	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
912	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
913	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
914	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
915	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
916	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
917	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
918	#121	C₂³×C₃	1	4	yes	—
919	#121	C₂³×C₃	1	4	yes	—
920	#121	C₂³×C₃	1	8	yes	—
921	#121	C₂³×C₃	1	4	yes	—
922	#121	C₂³×C₃	1	4	yes	—
923	#121	C₂³×C₃	1	8	yes	—
924	#121	C₂³×C₃	1	4	yes	—
925	#121	C₂³×C₃	1	4	yes	—
926	#121	C₂³×C₃	1	4	yes	—
927	#121	C₂³×C₃	1	2	yes	—
928	#121	C₂³×C₃	1	4	yes	—
929	#121	C₂³×C₃	1	8	yes	—
930	#121	C₂³×C₃	1	8	yes	—
931	#121	C₂³×C₃	1	8	yes	—
932	#121	C₂³×C₃	1	4	yes	—
933	#121	C₂³×C₃	1	4	yes	—
934	#121	C₂³×C₃	1	8	yes	—
935	#121	C₂³×C₃	1	8	yes	—
936	#121	C₂³×C₃	1	8	yes	—
937	#121	C₂³×C₃	1	8	yes	—
938	#121	C₂³×C₃	1	8	yes	—
939	#121	C₂³×C₃	1	8	yes	—
940	#121	C₂³×C₃	1	8	yes	—
941	#121	C₂³×C₃	1	8	yes	—
942	#120	C₂³×C₃	1	2	yes	—
943	#120	C₂³×C₃	1	2	yes	—
944	#120	C₂³×C₃	1	4	yes	—
945	#120	C₂³×C₃	1	8	yes	—
946	#120	C₂³×C₃	1	8	yes	—
947	#120	C₂³×C₃	1	4	yes	—
948	#120	C₂³×C₃	1	4	yes	—
949	#120	C₂³×C₃	1	8	yes	—
950	#120	C₂³×C₃	1	4	yes	—
951	C₄×Q₈	C₂³×C₃	1	2	yes	—
952	C₄×Q₈	C₂³×C₃	1	4	yes	—
953	C₄×Q₈	C₂³×C₃	1	4	yes	—
954	C₄×Q₈	C₂³×C₃	1	4	yes	—
955	C₄×Q₈	C₂³×C₃	1	2	yes	—
956	C₄×Q₈	C₂³×C₃	1	4	yes	—
957	C₄×Q₈	C₂³×C₃	1	8	yes	—
958	C₄×Q₈	C₂³×C₃	1	4	yes	—
959	C₄×D₄	C₂³×C₃	1	4	yes	—
960	C₄×D₄	C₂³×C₃	1	2	yes	—
961	C₄×D₄	C₂³×C₃	1	8	yes	—
962	C₄×D₄	C₂³×C₃	1	4	yes	—
963	C₄×D₄	C₂³×C₃	1	8	yes	—
964	C₄×D₄	C₂³×C₃	1	4	yes	—
965	C₄×D₄	C₂³×C₃	1	8	yes	—
966	C₄×D₄	C₂³×C₃	1	8	yes	—
967	C₄×D₄	C₂³×C₃	1	4	yes	—
968	C₄×D₄	C₂³×C₃	1	4	yes	—
969	C₄×D₄	C₂³×C₃	1	2	yes	—
970	C₄×D₄	C₂³×C₃	1	4	yes	—
971	C₄×D₄	C₂³×C₃	1	4	yes	—
972	C₄×D₄	C₂³×C₃	1	8	yes	—
973	C₄×D₄	C₂³×C₃	1	8	yes	—
974	C₄×D₄	C₂³×C₃	1	8	yes	—
975	C₄×D₄	C₂³×C₃	1	8	yes	—
976	C₄×D₄	C₂³×C₃	1	8	yes	—
977	C₄×D₄	C₂³×C₃	1	8	yes	—
978	C₄×D₄	C₂³×C₃	1	4	yes	—
979	C₄×D₄	C₂³×C₃	1	8	yes	—
980	C₄×D₄	C₂³×C₃	1	8	yes	—
981	C₄×D₄	C₂³×C₃	1	8	yes	—
982	C₄×D₄	C₂³×C₃	1	8	yes	—
983	#117	C₂³×C₃	1	2	yes	—
984	#117	C₂³×C₃	1	1	yes	characteristic
985	#117	C₂³×C₃	1	4	yes	—
986	#117	C₂³×C₃	1	2	yes	—
987	#117	C₂³×C₃	1	2	yes	—
988	#117	C₂³×C₃	1	2	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	8	yes	—
993	#117	C₂³×C₃	1	8	yes	—
994	#117	C₂³×C₃	1	8	yes	—
995	#117	C₂³×C₃	1	4	yes	—
996	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
997	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
998	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
999	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1000	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1001	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1002	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1003	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1004	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1005	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1006	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1007	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1008	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1009	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1010	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1011	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1012	C₂×C₄²	C₂³×C₃	1	2	yes	—
1013	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1014	C₂×C₄²	C₂³×C₃	1	4	yes	—
1015	C₂×C₄²	C₂³×C₃	1	2	yes	—
1016	C₂³×C₃	—	2	8	no	—
1017	C₂³×C₃	—	4	2	no	—
1018	C₂³×C₃	—	4	8	no	—
1019	C₂³×C₃	—	4	4	no	—
1020	C₂³×C₃	—	4	2	no	—
1021	C₂³×C₃	—	4	4	no	—
1022	C₂³×C₃	C₂⁵	1	2	yes	—
1023	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1024	C₂³×C₃	C₂⁵	1	4	yes	—
1025	C₂³×C₃	C₂⁵	1	4	yes	—
1026	C₂³×C₃	C₂⁵	1	2	yes	—
1027	C₂³×C₃	C₂⁵	1	2	yes	—
1028	C₃×Q₈	—	2	4	no	—
1029	C₃×Q₈	—	2	8	no	—
1030	C₃×Q₈	—	2	2	no	—
1031	C₃×Q₈	—	4	2	no	—
1032	C₃×Q₈	—	4	8	no	—
1033	C₃×Q₈	—	4	1	no	—
1034	C₃×Q₈	—	4	2	no	—
1035	C₃×Q₈	—	4	4	no	—
1036	C₃×Q₈	—	4	4	no	—
1037	C₃×Q₈	—	4	4	no	—
1038	C₃×Q₈	—	4	2	no	—
1039	C₃×Q₈	—	4	4	no	—
1040	C₃×Q₈	—	4	1	no	—
1041	C₃×D₄	—	2	8	no	—
1042	C₃×D₄	—	2	4	no	—
1043	C₃×D₄	—	2	16	no	—
1044	C₃×D₄	—	2	8	no	—
1045	C₃×D₄	—	2	4	no	—
1046	C₃×D₄	—	4	1	no	—
1047	C₃×D₄	—	4	2	no	—
1048	C₃×D₄	—	4	2	no	—
1049	C₃×D₄	—	4	4	no	—
1050	C₃×D₄	—	4	8	no	—
1051	C₃×D₄	—	4	4	no	—
1052	C₃×D₄	—	4	8	no	—
1053	C₃×D₄	—	4	4	no	—
1054	C₃×D₄	—	4	4	no	—
1055	C₃×D₄	—	4	8	no	—
1056	C₃×D₄	—	4	2	no	—
1057	C₃×D₄	—	4	4	no	—
1058	C₃×D₄	—	4	4	no	—
1059	C₃×D₄	—	4	1	no	—
1060	C₃×D₄	—	4	2	no	—
1061	C₃×D₄	—	4	2	no	—
1062	C₃×D₄	H(5,𝔽₂)	1	4	yes	—
1063	C₂×C₃×C₄	—	2	16	no	—
1064	C₂×C₃×C₄	—	2	4	no	—
1065	C₂×C₃×C₄	—	2	8	no	—
1066	C₂×C₃×C₄	—	2	4	no	—
1067	C₂×C₃×C₄	—	2	8	no	—
1068	C₂×C₃×C₄	—	2	2	no	—
1069	C₂×C₃×C₄	—	2	4	no	—
1070	C₂×C₃×C₄	—	4	2	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	4	no	—
1075	C₂×C₃×C₄	—	4	8	no	—
1076	C₂×C₃×C₄	—	4	8	no	—
1077	C₂×C₃×C₄	—	4	4	no	—
1078	C₂×C₃×C₄	—	4	8	no	—
1079	C₂×C₃×C₄	—	4	2	no	—
1080	C₂×C₃×C₄	—	4	4	no	—
1081	C₂×C₃×C₄	—	4	4	no	—
1082	C₂×C₃×C₄	—	4	4	no	—
1083	C₂×C₃×C₄	—	4	8	no	—
1084	C₂×C₃×C₄	—	4	2	no	—
1085	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1086	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1087	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1088	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1089	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1090	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1091	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1092	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1093	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1094	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1095	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1096	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1097	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1098	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1099	C₂⁴	C₂⁴×C₃	1	4	yes	—
1100	C₂⁴	C₂⁴×C₃	1	2	yes	—
1101	C₂⁴	C₂⁴×C₃	1	2	yes	—
1102	#41	—	2	16	no	—
1103	#41	—	2	4	no	—
1104	#41	—	2	8	no	—
1105	#41	—	4	2	no	—
1106	#41	—	4	4	no	—
1107	#41	—	4	2	no	—
1108	#41	—	4	16	no	—
1109	#41	—	4	4	no	—
1110	#41	—	4	16	no	—
1111	#41	—	4	4	no	—
1112	#41	—	4	8	no	—
1113	#41	—	4	8	no	—
1114	#41	—	4	8	no	—
1115	#41	—	4	4	no	—
1116	C₂×Q₈	—	4	8	no	—
1117	C₂×Q₈	—	4	4	no	—
1118	C₂×Q₈	—	4	4	no	—
1119	C₂×Q₈	—	4	8	no	—
1120	C₂×Q₈	—	4	2	no	—
1121	C₂×Q₈	—	4	4	no	—
1122	C₂×Q₈	—	4	4	no	—
1123	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1124	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1125	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1126	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1127	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1128	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1129	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1130	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1131	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1132	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1133	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1134	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1135	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1136	C₂×D₄	—	2	8	no	—
1137	C₂×D₄	—	4	2	no	—
1138	C₂×D₄	—	4	4	no	—
1139	C₂×D₄	—	4	8	no	—
1140	C₂×D₄	—	4	8	no	—
1141	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1142	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1143	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1144	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1145	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1146	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1147	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1148	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1149	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1150	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1151	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1152	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1153	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1154	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1155	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1156	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1157	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1158	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1159	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1160	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1161	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1162	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1163	C₂²×C₄	—	4	4	no	—
1164	C₂²×C₄	—	4	8	no	—
1165	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1166	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1167	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1168	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1170	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1171	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1172	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1173	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1174	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1175	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1176	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1177	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1178	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1179	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1180	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1181	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1182	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1183	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1184	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1185	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1186	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1187	C₄⋊C₄	C₂⁴×C₃	1	2	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	8	yes	—
1195	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1196	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1197	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1198	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1199	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1200	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1201	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1202	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1203	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1204	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1205	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1206	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1207	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1208	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1209	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1210	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1211	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1212	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1213	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1214	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1215	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1216	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1217	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1218	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1219	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1220	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1221	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1222	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1223	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1224	C₂²⋊C₄	C₂⁴×C₃	1	8	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	4	yes	—
1229	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1230	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1231	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1232	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1233	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1234	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1235	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1236	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1237	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1238	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1239	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1240	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1241	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1242	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1243	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1244	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1245	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1246	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1247	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1248	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1249	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1250	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1251	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1252	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1253	C₄²	C₂⁴×C₃	1	2	yes	—
1254	C₄²	C₂⁴×C₃	1	2	yes	—
1255	C₄²	C₂⁴×C₃	1	2	yes	—
1256	C₄²	C₂⁴×C₃	1	4	yes	—
1257	C₄²	C₂⁴×C₃	1	2	yes	—
1258	C₄²	C₂⁴×C₃	1	8	yes	—
1259	C₄²	C₂⁴×C₃	1	4	yes	—
1260	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1261	C₄²	C₂⁴×C₃	1	4	yes	—
1262	C₄²	C₂⁴×C₃	1	4	yes	—
1263	C₄²	C₂⁴×C₃	1	8	yes	—
1264	C₄²	C₂⁴×C₃	1	8	yes	—
1265	C₂²×C₃	—	2	4	no	—
1266	C₂²×C₃	—	2	2	no	—
1267	C₂²×C₃	—	2	4	no	—
1268	C₂²×C₃	—	2	2	no	—
1269	C₂²×C₃	—	2	1	no	—
1270	C₂²×C₃	—	2	4	no	—
1271	C₂²×C₃	—	2	4	no	—
1272	C₂²×C₃	—	2	4	no	—
1273	C₂²×C₃	—	2	8	no	—
1274	C₂²×C₃	—	2	2	no	—
1275	C₂²×C₃	—	2	4	no	—
1276	C₂²×C₃	—	2	4	no	—
1277	C₂²×C₃	—	8	8	no	—
1278	C₂²×C₃	—	8	4	no	—
1279	C₂²×C₃	—	16	2	no	—
1280	C₂²×C₃	C₂×H(5,𝔽₂)	1	4	yes	—
1281	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1282	C₃×C₄	—	2	4	no	—
1283	C₃×C₄	—	2	1	no	—
1284	C₃×C₄	—	2	2	no	—
1285	C₃×C₄	—	2	2	no	—
1286	C₃×C₄	—	2	2	no	—
1287	C₃×C₄	—	2	8	no	—
1288	C₃×C₄	—	2	4	no	—
1289	C₃×C₄	—	2	4	no	—
1290	C₃×C₄	—	2	4	no	—
1291	C₃×C₄	—	2	2	no	—
1292	C₃×C₄	—	2	8	no	—
1293	C₃×C₄	—	2	4	no	—
1294	C₃×C₄	—	2	2	no	—
1295	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1296	C₂³	—	2	8	no	—
1297	C₂³	—	4	2	no	—
1298	C₂³	—	4	8	no	—
1299	C₂³	—	4	4	no	—
1300	C₂³	—	4	2	no	—
1301	C₂³	—	4	4	no	—
1302	C₂³	C₂⁵×C₃	1	2	yes	—
1303	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1304	C₂³	C₂⁵×C₃	1	4	yes	—
1305	C₂³	C₂⁵×C₃	1	4	yes	—
1306	C₂³	C₂⁵×C₃	1	2	yes	—
1307	C₂³	C₂⁵×C₃	1	2	yes	—
1308	Q₈	—	2	4	no	—
1309	Q₈	—	2	8	no	—
1310	Q₈	—	2	2	no	—
1311	Q₈	—	4	2	no	—
1312	Q₈	—	4	8	no	—
1313	Q₈	—	4	1	no	—
1314	Q₈	—	4	2	no	—
1315	Q₈	—	4	4	no	—
1316	Q₈	—	4	4	no	—
1317	Q₈	—	4	4	no	—
1318	Q₈	—	4	1	no	—
1319	Q₈	—	4	2	no	—
1320	Q₈	—	4	4	no	—
1321	D₄	—	2	8	no	—
1322	D₄	—	2	4	no	—
1323	D₄	—	2	16	no	—
1324	D₄	—	2	8	no	—
1325	D₄	—	2	4	no	—
1326	D₄	—	4	1	no	—
1327	D₄	—	4	2	no	—
1328	D₄	—	4	2	no	—
1329	D₄	—	4	4	no	—
1330	D₄	—	4	8	no	—
1331	D₄	—	4	4	no	—
1332	D₄	—	4	1	no	—
1333	D₄	—	4	2	no	—
1334	D₄	—	4	2	no	—
1335	D₄	—	4	4	no	—
1336	D₄	—	4	8	no	—
1337	D₄	—	4	4	no	—
1338	D₄	—	4	4	no	—
1339	D₄	—	4	8	no	—
1340	D₄	—	4	2	no	—
1341	D₄	—	4	4	no	—
1342	D₄	C₃×H(5,𝔽₂)	1	4	yes	—
1343	C₂×C₄	—	2	16	no	—
1344	C₂×C₄	—	2	4	no	—
1345	C₂×C₄	—	2	8	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	8	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	4	no	—
1350	C₂×C₄	—	4	2	no	—
1351	C₂×C₄	—	4	4	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	8	no	—
1354	C₂×C₄	—	4	4	no	—
1355	C₂×C₄	—	4	4	no	—
1356	C₂×C₄	—	4	4	no	—
1357	C₂×C₄	—	4	8	no	—
1358	C₂×C₄	—	4	2	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	8	no	—
1361	C₂×C₄	—	4	8	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	4	8	no	—
1364	C₂×C₄	—	4	2	no	—
1365	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1366	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1367	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1368	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1369	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1370	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1371	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1372	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1373	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1374	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1375	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1376	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1377	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1378	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1379	C₂×C₃	—	2	4	no	—
1380	C₂×C₃	—	4	2	no	—
1381	C₂×C₃	—	4	4	no	—
1382	C₂×C₃	—	4	2	no	—
1383	C₂×C₃	—	4	4	no	—
1384	C₂×C₃	—	4	1	no	—
1385	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1386	C₂×C₃	2₋¹⁺⁶	1	2	yes	—
1387	C₂²	—	2	4	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	4	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	4	no	—
1393	C₂²	—	2	4	no	—
1394	C₂²	—	2	4	no	—
1395	C₂²	—	2	8	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	4	no	—
1398	C₂²	—	2	4	no	—
1399	C₂²	—	8	8	no	—
1400	C₂²	—	8	4	no	—
1401	C₂²	—	16	2	no	—
1402	C₂²	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1403	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1404	C₄	—	2	4	no	—
1405	C₄	—	2	1	no	—
1406	C₄	—	2	2	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	8	no	—
1410	C₄	—	2	4	no	—
1411	C₄	—	2	4	no	—
1412	C₄	—	2	4	no	—
1413	C₄	—	2	2	no	—
1414	C₄	—	2	8	no	—
1415	C₄	—	2	4	no	—
1416	C₄	—	2	2	no	—
1417	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1418	C₃	#63063	1	1	yes	characteristic, direct product factor, Sylow
1419	C₂	—	2	4	no	—
1420	C₂	—	4	2	no	—
1421	C₂	—	4	4	no	—
1422	C₂	—	4	4	no	—
1423	C₂	—	4	1	no	—
1424	C₂	—	4	2	no	—
1425	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1426	C₂	C₃×2₋¹⁺⁶	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×#3561	C₂	semidirect
2. C₃×#3560	C₂	semidirect
3. C₃×#3559	C₂	semidirect
4. C₃×#3552	C₂	semidirect
5. C₃×#3551	C₂	semidirect
6. C₃×#3550	C₂	semidirect
7. C₃×#3545	C₂	semidirect
8. C₃×#3544	C₂	semidirect
9. C₃×#3541	C₂	semidirect
10. C₃×#3538	C₂	semidirect
11. C₃×#3535	C₂	semidirect
12. C₃×#3533	C₂	semidirect
13. C₃×#3529	C₂	semidirect
14. C₂×C₃×#563	C₂	semidirect
15. C₃×#3521	C₂	semidirect
16. C₃×#3515	C₂	semidirect
17. C₃×#3500	C₂	semidirect
18. C₃×#3499	C₂	semidirect
19. C₃×#3489	C₂	semidirect
20. C₃×#3485	C₂	semidirect
21. #63063	C₃	direct (N × H)
22. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
25. C₂²×C₃×#41	C₂²	semidirect
26. C₃×#563	C₂²	semidirect
27. C₃×#563	C₂²	semidirect
28. C₃×#563	C₂²	semidirect
29. C₃×#563	C₂²	semidirect
30. C₃×#563	C₂²	semidirect
31. C₃×#563	C₂²	semidirect
32. C₃×#563	C₂²	semidirect
33. C₃×#563	C₂²	semidirect
34. C₃×#563	C₂²	semidirect
35. C₃×#563	C₂²	semidirect
36. C₃×#563	C₂²	semidirect
37. C₃×#562	C₂²	semidirect
38. C₃×#562	C₂²	semidirect
39. C₃×#562	C₂²	semidirect
40. C₃×#562	C₂²	semidirect
41. C₃×H(3,𝔽₄)	C₂²	semidirect
42. C₃×#560	C₂²	semidirect
43. C₃×#560	C₂²	semidirect
44. C₃×#560	C₂²	semidirect
45. C₃×#559	C₂²	semidirect
46. C₃×Q₈²	C₂²	semidirect
47. C₃×#557	C₂²	semidirect
48. C₃×#556	C₂²	semidirect
49. C₃×#556	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
55. C₃×#553	C₂²	semidirect
56. C₃×#553	C₂²	semidirect
57. C₃×#553	C₂²	semidirect
58. C₃×#553	C₂²	semidirect
59. C₃×#553	C₂²	semidirect
60. C₃×#552	C₂²	semidirect
61. C₃×#552	C₂²	semidirect
62. C₃×#552	C₂²	semidirect
63. C₃×#552	C₂²	semidirect
64. C₃×#552	C₂²	semidirect
65. C₃×#551	C₂²	semidirect
66. C₃×#551	C₂²	semidirect
67. C₃×#551	C₂²	semidirect
68. C₃×#551	C₂²	semidirect
69. C₃×#551	C₂²	semidirect
70. C₃×#551	C₂²	semidirect
71. C₃×D₄×Q₈	C₂²	semidirect
72. C₃×D₄×Q₈	C₂²	semidirect
73. C₃×D₄×Q₈	C₂²	semidirect
74. C₃×D₄×Q₈	C₂²	semidirect
75. C₃×#548	C₂²	semidirect
76. C₃×#548	C₂²	semidirect
77. C₃×#548	C₂²	semidirect
79. C₃×#547	C₂²	semidirect
80. C₃×#547	C₂²	semidirect
81. C₃×#547	C₂²	semidirect
82. C₃×#547	C₂²	semidirect
83. C₃×#547	C₂²	semidirect
84. C₃×#547	C₂²	semidirect
85. C₃×#547	C₂²	semidirect
86. C₃×#547	C₂²	semidirect
89. C₃×#546	C₂²	semidirect
90. C₃×#546	C₂²	semidirect
91. C₃×#546	C₂²	semidirect
92. C₃×#546	C₂²	semidirect
93. C₃×#546	C₂²	semidirect
94. C₃×#544	C₂²	semidirect
95. C₃×#544	C₂²	semidirect
96. C₃×#543	C₂²	semidirect
97. C₃×#542	C₂²	semidirect
98. C₃×#542	C₂²	semidirect
99. C₃×#542	C₂²	semidirect
100. C₃×#542	C₂²	semidirect
101. C₃×#542	C₂²	semidirect
102. C₃×#541	C₂²	semidirect
103. C₃×#541	C₂²	semidirect
104. C₃×#540	C₂²	semidirect
105. C₃×#539	C₂²	semidirect
106. C₃×#539	C₂²	semidirect
107. C₃×#539	C₂²	semidirect
108. C₃×#539	C₂²	semidirect
109. C₃×#539	C₂²	semidirect
110. C₃×#539	C₂²	semidirect
111. C₃×#538	C₂²	semidirect
112. C₃×#538	C₂²	semidirect
113. C₃×#538	C₂²	semidirect
114. C₃×#538	C₂²	semidirect
115. C₃×#538	C₂²	semidirect
116. C₃×#537	C₂²	semidirect
117. C₃×#537	C₂²	semidirect
120. C₃×#536	C₂²	semidirect
121. C₃×#536	C₂²	semidirect
122. C₃×#536	C₂²	semidirect
123. C₃×#536	C₂²	semidirect
124. C₃×#536	C₂²	semidirect
125. C₃×#536	C₂²	semidirect
126. C₃×#536	C₂²	semidirect
127. C₃×#536	C₂²	semidirect
129. C₃×#535	C₂²	semidirect
131. C₃×#534	C₂²	semidirect
132. C₃×#533	C₂²	semidirect
134. C₃×#532	C₂²	semidirect
135. C₃×#532	C₂²	semidirect
136. C₃×#532	C₂²	semidirect
137. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
138. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
139. C₃×#529	C₂²	semidirect
140. C₃×#529	C₂²	semidirect
141. C₃×#529	C₂²	semidirect
142. C₃×#529	C₂²	semidirect
143. C₃×#529	C₂²	semidirect
144. C₂×C₃×#126	C₂²	semidirect
145. C₂×C₃×#125	C₂²	semidirect
147. C₂×C₃×#124	C₂²	semidirect
149. C₃×#525	C₂²	semidirect
150. C₃×#525	C₂²	semidirect
151. C₃×#525	C₂²	semidirect
153. C₂×C₃×#123	C₂²	semidirect
154. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
155. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
156. C₃×#520	C₂²	semidirect
157. C₃×#518	C₂²	semidirect
158. C₃×C₄×#41	C₂²	semidirect
159. C₃×C₄×#41	C₂²	semidirect
160. #3561	C₂×C₃	semidirect
161. #3560	C₂×C₃	semidirect
162. #3559	C₂×C₃	semidirect
163. #3552	C₂×C₃	semidirect
164. #3551	C₂×C₃	semidirect
165. #3550	C₂×C₃	semidirect
166. #3545	C₂×C₃	semidirect
167. #3544	C₂×C₃	semidirect
168. #3541	C₂×C₃	semidirect
169. #3538	C₂×C₃	semidirect
170. #3535	C₂×C₃	semidirect
171. #3533	C₂×C₃	semidirect
172. #3529	C₂×C₃	semidirect
173. C₂×#563	C₂×C₃	semidirect
174. #3521	C₂×C₃	semidirect
175. #3515	C₂×C₃	semidirect
176. #3500	C₂×C₃	semidirect
177. #3499	C₂×C₃	semidirect
178. #3489	C₂×C₃	semidirect
179. #3485	C₂×C₃	semidirect
446. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
447. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
449. C₂²×#41	C₂²×C₃	semidirect
450. #563	C₂²×C₃	semidirect
451. #563	C₂²×C₃	semidirect
452. #563	C₂²×C₃	semidirect
453. #563	C₂²×C₃	semidirect
454. #563	C₂²×C₃	semidirect
455. #563	C₂²×C₃	semidirect
456. #563	C₂²×C₃	semidirect
457. #563	C₂²×C₃	semidirect
458. #563	C₂²×C₃	semidirect
459. #563	C₂²×C₃	semidirect
460. #563	C₂²×C₃	semidirect
461. #562	C₂²×C₃	semidirect
462. #562	C₂²×C₃	semidirect
463. #562	C₂²×C₃	semidirect
464. #562	C₂²×C₃	semidirect
465. H(3,𝔽₄)	C₂²×C₃	semidirect
466. #560	C₂²×C₃	semidirect
467. #560	C₂²×C₃	semidirect
468. #560	C₂²×C₃	semidirect
469. #559	C₂²×C₃	semidirect
470. Q₈²	C₂²×C₃	semidirect
471. #557	C₂²×C₃	semidirect
472. #556	C₂²×C₃	semidirect
473. #556	C₂²×C₃	semidirect
474. #555	C₂²×C₃	semidirect
475. #554	C₂²×C₃	semidirect
476. #554	C₂²×C₃	semidirect
477. #554	C₂²×C₃	semidirect
478. #554	C₂²×C₃	semidirect
479. #553	C₂²×C₃	semidirect
480. #553	C₂²×C₃	semidirect
481. #553	C₂²×C₃	semidirect
482. #553	C₂²×C₃	semidirect
483. #553	C₂²×C₃	semidirect
484. #552	C₂²×C₃	semidirect
485. #552	C₂²×C₃	semidirect
486. #552	C₂²×C₃	semidirect
487. #552	C₂²×C₃	semidirect
488. #552	C₂²×C₃	semidirect
489. #551	C₂²×C₃	semidirect
490. #551	C₂²×C₃	semidirect
491. #551	C₂²×C₃	semidirect
492. #551	C₂²×C₃	semidirect
493. #551	C₂²×C₃	semidirect
494. #551	C₂²×C₃	semidirect
495. D₄×Q₈	C₂²×C₃	semidirect
496. D₄×Q₈	C₂²×C₃	semidirect
497. D₄×Q₈	C₂²×C₃	semidirect
498. D₄×Q₈	C₂²×C₃	semidirect
499. #548	C₂²×C₃	semidirect
500. #548	C₂²×C₃	semidirect
501. #548	C₂²×C₃	semidirect
503. #547	C₂²×C₃	semidirect
504. #547	C₂²×C₃	semidirect
505. #547	C₂²×C₃	semidirect
506. #547	C₂²×C₃	semidirect
507. #547	C₂²×C₃	semidirect
508. #547	C₂²×C₃	semidirect
509. #547	C₂²×C₃	semidirect
510. #547	C₂²×C₃	semidirect
513. #546	C₂²×C₃	semidirect
514. #546	C₂²×C₃	semidirect
515. #546	C₂²×C₃	semidirect
516. #546	C₂²×C₃	semidirect
517. #546	C₂²×C₃	semidirect
518. #544	C₂²×C₃	semidirect
519. #544	C₂²×C₃	semidirect
520. #543	C₂²×C₃	semidirect
521. #542	C₂²×C₃	semidirect
522. #542	C₂²×C₃	semidirect
523. #542	C₂²×C₃	semidirect
524. #542	C₂²×C₃	semidirect
525. #542	C₂²×C₃	semidirect
526. #541	C₂²×C₃	semidirect
527. #541	C₂²×C₃	semidirect
528. #540	C₂²×C₃	semidirect
529. #539	C₂²×C₃	semidirect
530. #539	C₂²×C₃	semidirect
531. #539	C₂²×C₃	semidirect
532. #539	C₂²×C₃	semidirect
533. #539	C₂²×C₃	semidirect
534. #539	C₂²×C₃	semidirect
535. #538	C₂²×C₃	semidirect
536. #538	C₂²×C₃	semidirect
537. #538	C₂²×C₃	semidirect
538. #538	C₂²×C₃	semidirect
539. #538	C₂²×C₃	semidirect
540. #537	C₂²×C₃	semidirect
541. #537	C₂²×C₃	semidirect
544. #536	C₂²×C₃	semidirect
545. #536	C₂²×C₃	semidirect
546. #536	C₂²×C₃	semidirect
547. #536	C₂²×C₃	semidirect
548. #536	C₂²×C₃	semidirect
549. #536	C₂²×C₃	semidirect
550. #536	C₂²×C₃	semidirect
551. #536	C₂²×C₃	semidirect
553. #535	C₂²×C₃	semidirect
555. #534	C₂²×C₃	semidirect
556. #533	C₂²×C₃	semidirect
558. #532	C₂²×C₃	semidirect
559. #532	C₂²×C₃	semidirect
560. #532	C₂²×C₃	semidirect
561. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
562. C₂×C₄⋊Q₈	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. C₂×#126	C₂²×C₃	semidirect
569. C₂×#125	C₂²×C₃	semidirect
571. C₂×#124	C₂²×C₃	semidirect
573. #525	C₂²×C₃	semidirect
574. #525	C₂²×C₃	semidirect
575. #525	C₂²×C₃	semidirect
577. C₂×#123	C₂²×C₃	semidirect
578. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
579. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
580. #520	C₂²×C₃	semidirect
581. #518	C₂²×C₃	semidirect
582. C₄×#41	C₂²×C₃	semidirect
583. C₄×#41	C₂²×C₃	semidirect
1418. C₃	#63063	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×#3561	2
C₃×#3560	2
C₃×#3559	2
C₃×#3552	2
C₃×#3551	2
C₃×#3550	2
C₃×#3545	2
C₃×#3544	2
C₃×#3541	2
C₃×#3538	2
C₃×#3535	2
C₃×#3533	2
C₃×#3529	2
C₂×C₃×#563	2
C₃×#3521	2
C₃×#3515	2
C₃×#3500	2
C₃×#3499	2
C₃×#3489	2
C₃×#3485	2
#63063	3

Subgroups — C3×#63063 #10681670

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#63063 #10681670