Subgroups — C₃×#62914 #10681521

Order 768.

7738 conjugacy classes of subgroups.

The subgroup lattice has 1110 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3548	C₂	1	4	yes	maximal, complemented
2	C₃×#3546	C₂	1	4	yes	maximal, complemented
3	C₃×#3542	C₂	1	8	yes	maximal, complemented
4	C₃×#3536	C₂	1	8	yes	maximal, complemented
5	C₃×#3536	C₂	1	4	yes	maximal, complemented
6	C₃×#3534	C₂	1	8	yes	maximal, complemented
7	C₃×#3520	C₂	1	4	yes	maximal, complemented
8	C₃×#3511	C₂	1	2	yes	maximal, complemented
9	C₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3496	C₂	1	4	yes	maximal, complemented
11	C₃×#3492	C₂	1	2	yes	maximal, complemented
12	C₃×#3488	C₂	1	4	yes	maximal, complemented
13	C₃×#3488	C₂	1	4	yes	maximal, complemented
14	C₃×D₄×#41	C₂	1	2	yes	maximal, complemented
15	C₂×C₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₃×#537	C₂	1	2	yes	maximal, complemented
18	#62914	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
19	C₂×C₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
20	C₂×C₃×H(5,𝔽₂)	C₂²	1	4	yes	complemented
21	C₂²×C₃×#41	C₂²	1	4	yes	complemented
22	C₂²×C₃×#41	C₂²	1	2	yes	complemented
23	C₃×#562	C₂²	1	16	yes	complemented
24	C₃×#562	C₂²	1	16	yes	complemented
25	C₃×#560	C₂²	1	16	yes	complemented
26	C₃×#556	C₂²	1	4	yes	complemented
27	C₃×#555	C₂²	1	4	yes	complemented
28	C₃×#554	C₂²	1	8	yes	complemented
29	C₃×#554	C₂²	1	4	yes	complemented
30	C₃×#554	C₂²	1	8	yes	complemented
31	C₃×#553	C₂²	1	8	yes	complemented
32	C₃×#553	C₂²	1	8	yes	complemented
33	C₃×#552	C₂²	1	8	yes	complemented
34	C₃×#551	C₂²	1	16	yes	complemented
35	C₃×#550	C₂²	1	2	yes	complemented
36	C₃×#550	C₂²	1	8	yes	complemented
37	C₃×#550	C₂²	1	8	yes	complemented
38	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
39	C₃×#548	C₂²	1	4	yes	complemented
40	C₃×#548	C₂²	1	8	yes	complemented
41	C₃×#548	C₂²	1	8	yes	complemented
42	C₃×#547	C₂²	1	4	yes	complemented
43	C₃×#547	C₂²	1	8	yes	complemented
44	C₃×#547	C₂²	1	4	yes	complemented
45	C₃×#547	C₂²	1	4	yes	complemented
46	C₃×#547	C₂²	1	2	yes	complemented
47	C₃×#547	C₂²	1	8	yes	complemented
48	C₃×#547	C₂²	1	4	yes	complemented
49	C₃×#547	C₂²	1	4	yes	complemented
50	C₃×#546	C₂²	1	8	yes	complemented
51	C₃×#546	C₂²	1	4	yes	complemented
52	C₃×#546	C₂²	1	8	yes	complemented
53	C₃×#546	C₂²	1	16	yes	complemented
54	C₃×#546	C₂²	1	16	yes	complemented
55	C₃×#546	C₂²	1	8	yes	complemented
56	C₃×#546	C₂²	1	16	yes	complemented
57	C₃×#546	C₂²	1	8	yes	complemented
58	C₃×#546	C₂²	1	8	yes	complemented
59	C₃×D₄²	C₂²	1	4	yes	complemented
60	C₃×D₄²	C₂²	1	2	yes	complemented
61	C₃×D₄²	C₂²	1	16	yes	complemented
62	C₃×D₄²	C₂²	1	8	yes	complemented
63	C₃×D₄²	C₂²	1	4	yes	complemented
64	C₃×#544	C₂²	1	1	yes	characteristic, complemented
65	C₃×#543	C₂²	1	8	yes	complemented
66	C₃×#542	C₂²	1	4	yes	complemented
67	C₃×#542	C₂²	1	8	yes	complemented
68	C₃×#542	C₂²	1	8	yes	complemented
69	C₃×#540	C₂²	1	4	yes	complemented
70	C₃×#540	C₂²	1	16	yes	complemented
71	C₃×#539	C₂²	1	8	yes	complemented
72	C₃×#539	C₂²	1	16	yes	complemented
73	C₃×#538	C₂²	1	4	yes	complemented
74	C₃×#538	C₂²	1	16	yes	complemented
75	C₃×#538	C₂²	1	8	yes	complemented
76	C₃×#537	C₂²	1	1	yes	characteristic, complemented
77	C₃×#537	C₂²	1	4	yes	complemented
78	C₃×#537	C₂²	1	2	yes	complemented
79	C₃×#537	C₂²	1	8	yes	complemented
80	C₃×#537	C₂²	1	8	yes	complemented
81	C₃×#537	C₂²	1	8	yes	complemented
82	C₃×#537	C₂²	1	8	yes	complemented
83	C₃×#537	C₂²	1	8	yes	complemented
84	C₃×#537	C₂²	1	4	yes	complemented
85	C₃×#537	C₂²	1	8	yes	complemented
86	C₃×#535	C₂²	1	2	yes	complemented
87	C₃×#535	C₂²	1	8	yes	complemented
88	C₃×#535	C₂²	1	8	yes	complemented
89	C₃×#535	C₂²	1	4	yes	complemented
90	C₃×#534	C₂²	1	4	yes	complemented
91	C₃×#534	C₂²	1	16	yes	complemented
92	C₃×#533	C₂²	1	4	yes	complemented
93	C₃×#532	C₂²	1	4	yes	complemented
94	C₃×#532	C₂²	1	2	yes	complemented
95	C₃×#532	C₂²	1	4	yes	complemented
96	C₃×#532	C₂²	1	4	yes	complemented
97	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
98	C₃×#529	C₂²	1	4	yes	complemented
99	C₃×#525	C₂²	1	4	yes	complemented
100	C₃×#525	C₂²	1	4	yes	complemented
101	C₃×#525	C₂²	1	8	yes	complemented
102	C₃×#525	C₂²	1	8	yes	complemented
103	C₃×#525	C₂²	1	8	yes	complemented
104	C₂×C₃×#123	C₂²	1	4	yes	complemented
105	C₂×C₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
106	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
107	C₂×C₃×#121	C₂²	1	8	yes	complemented
108	C₂×C₃×#121	C₂²	1	8	yes	complemented
109	C₂×C₃×#121	C₂²	1	2	yes	complemented
110	C₂×C₃×#121	C₂²	1	8	yes	complemented
111	C₂×C₃×#121	C₂²	1	4	yes	complemented
112	C₃×#520	C₂²	1	4	yes	complemented
113	C₃×#520	C₂²	1	4	yes	complemented
114	C₃×C₄×#41	C₂²	1	2	yes	complemented
115	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
118	C₂²×C₃×C₄⋊C₄	C₂²	1	2	yes	complemented
119	#3548	C₂×C₃	1	4	yes	complemented
120	#3546	C₂×C₃	1	4	yes	complemented
121	#3542	C₂×C₃	1	8	yes	complemented
122	#3536	C₂×C₃	1	8	yes	complemented
123	#3536	C₂×C₃	1	4	yes	complemented
124	#3534	C₂×C₃	1	8	yes	complemented
125	#3520	C₂×C₃	1	4	yes	complemented
126	#3511	C₂×C₃	1	2	yes	complemented
127	#3496	C₂×C₃	1	1	yes	characteristic, complemented
128	#3496	C₂×C₃	1	4	yes	complemented
129	#3492	C₂×C₃	1	2	yes	complemented
130	#3488	C₂×C₃	1	4	yes	complemented
131	#3488	C₂×C₃	1	4	yes	complemented
132	D₄×#41	C₂×C₃	1	2	yes	complemented
133	C₂×#547	C₂×C₃	1	1	yes	characteristic, complemented
134	#3460	C₂×C₃	1	1	yes	characteristic, complemented
135	C₂×#537	C₂×C₃	1	2	yes	complemented
136	C₃×H(5,𝔽₂)	—	4	16	no	—
137	C₃×H(5,𝔽₂)	—	4	8	no	—
138	C₂×C₃×#41	—	4	16	no	—
139	C₂×C₃×#41	—	4	8	no	—
140	C₂×C₃×#41	C₂³	1	2	yes	—
141	C₂×C₃×#41	C₂³	1	4	yes	—
142	C₂×C₃×#41	C₂³	1	4	yes	—
143	C₂×C₃×#41	C₂³	1	8	yes	—
144	C₂×C₃×#41	C₂³	1	8	yes	—
145	C₂×C₃×#41	C₂³	1	4	yes	—
146	C₂×C₃×#41	C₂³	1	8	yes	—
147	C₂×C₃×#41	C₂³	1	4	yes	—
148	C₂×C₃×#41	C₂³	1	4	yes	—
149	C₂×C₃×#41	C₂³	1	4	yes	—
150	C₂×C₃×#41	C₂³	1	8	yes	—
151	C₂×C₃×#41	C₂³	1	8	yes	—
152	C₂×C₃×#41	C₂³	1	8	yes	—
153	C₂²×C₃×Q₈	C₂³	1	4	yes	—
154	C₂²×C₃×Q₈	C₂³	1	2	yes	—
155	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
156	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
157	C₂²×C₃×D₄	C₂³	1	4	yes	—
158	C₂²×C₃×D₄	C₂³	1	4	yes	—
159	C₂²×C₃×D₄	C₂³	1	8	yes	—
160	C₂²×C₃×D₄	C₂³	1	4	yes	—
161	C₂²×C₃×D₄	C₂³	1	8	yes	—
162	C₂²×C₃×D₄	C₂³	1	16	yes	—
163	C₂²×C₃×D₄	C₂³	1	8	yes	—
164	C₂²×C₃×D₄	C₂³	1	8	yes	—
165	C₂²×C₃×D₄	C₂³	1	4	yes	—
166	C₂³×C₃×C₄	C₂³	1	2	yes	—
167	C₂³×C₃×C₄	C₂³	1	4	yes	—
168	C₂³×C₃×C₄	C₂³	1	2	yes	—
169	C₂³×C₃×C₄	C₂³	1	8	yes	—
170	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
171	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
172	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
174	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
175	C₃×#127	C₂³	1	16	yes	—
176	C₃×#127	C₂³	1	2	yes	—
177	C₃×#127	C₂³	1	4	yes	—
178	C₃×#127	C₂³	1	4	yes	—
179	C₃×#126	C₂³	1	16	yes	—
180	C₃×#126	C₂³	1	16	yes	—
181	C₃×#126	C₂³	1	8	yes	—
182	C₃×#125	C₂³	1	8	yes	—
183	C₃×#125	C₂³	1	16	yes	—
184	C₃×#125	C₂³	1	4	yes	—
185	C₃×#124	C₂³	1	8	yes	—
186	C₃×#124	C₂³	1	8	yes	—
187	C₃×#124	C₂³	1	16	yes	—
188	C₃×#124	C₂³	1	16	yes	—
189	C₃×#124	C₂³	1	4	yes	—
190	C₃×#124	C₂³	1	8	yes	—
191	C₃×#124	C₂³	1	4	yes	—
192	C₃×#123	C₂³	1	8	yes	—
193	C₃×#123	C₂³	1	16	yes	—
194	C₃×#123	C₂³	1	16	yes	—
195	C₃×#123	C₂³	1	8	yes	—
196	C₃×#123	C₂³	1	8	yes	—
197	C₃×#123	C₂³	1	8	yes	—
198	C₃×#123	C₂³	1	16	yes	—
199	C₃×#123	C₂³	1	16	yes	—
200	C₃×#123	C₂³	1	16	yes	—
201	C₃×#123	C₂³	1	16	yes	—
202	C₃×#123	C₂³	1	16	yes	—
203	C₃×#123	C₂³	1	8	yes	—
204	C₃×C₂²⋊Q₈	C₂³	1	16	yes	—
205	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
206	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
207	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
208	C₃×C₂²⋊Q₈	C₂³	1	16	yes	—
209	C₃×C₂²⋊Q₈	C₂³	1	16	yes	—
210	C₃×C₂²⋊Q₈	C₂³	1	16	yes	—
211	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
212	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
213	C₃×C₂²⋊Q₈	C₂³	1	16	yes	—
214	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
215	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
216	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
217	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
218	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
219	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
220	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
221	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
222	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
223	C₃×#121	C₂³	1	8	yes	—
224	C₃×#121	C₂³	1	8	yes	—
225	C₃×#121	C₂³	1	8	yes	—
226	C₃×#121	C₂³	1	8	yes	—
227	C₃×#121	C₂³	1	16	yes	—
228	C₃×#121	C₂³	1	16	yes	—
229	C₃×#121	C₂³	1	16	yes	—
230	C₃×#121	C₂³	1	8	yes	—
231	C₃×#121	C₂³	1	16	yes	—
232	C₃×#121	C₂³	1	16	yes	—
233	C₃×#121	C₂³	1	16	yes	—
234	C₃×#121	C₂³	1	8	yes	—
235	C₃×#121	C₂³	1	4	yes	—
236	C₃×#121	C₂³	1	8	yes	—
237	C₃×#121	C₂³	1	4	yes	—
238	C₃×#121	C₂³	1	8	yes	—
239	C₃×#121	C₂³	1	4	yes	—
240	C₃×#121	C₂³	1	4	yes	—
241	C₃×#121	C₂³	1	4	yes	—
242	C₃×#121	C₂³	1	16	yes	—
243	C₃×#121	C₂³	1	8	yes	—
244	C₃×#121	C₂³	1	8	yes	—
245	C₃×#121	C₂³	1	8	yes	—
246	C₃×#121	C₂³	1	8	yes	—
247	C₃×#121	C₂³	1	16	yes	—
248	C₃×#121	C₂³	1	8	yes	—
249	C₃×#121	C₂³	1	16	yes	—
250	C₃×#121	C₂³	1	8	yes	—
251	C₃×#121	C₂³	1	4	yes	—
252	C₃×#121	C₂³	1	4	yes	—
253	C₃×#121	C₂³	1	4	yes	—
254	C₃×#121	C₂³	1	8	yes	—
255	C₃×#121	C₂³	1	8	yes	—
256	C₃×#121	C₂³	1	4	yes	—
257	C₃×#121	C₂³	1	4	yes	—
258	C₃×#121	C₂³	1	4	yes	—
259	C₃×#120	C₂³	1	16	yes	—
260	C₃×#120	C₂³	1	16	yes	—
261	C₃×#120	C₂³	1	16	yes	—
262	C₃×#120	C₂³	1	8	yes	—
263	C₃×#120	C₂³	1	8	yes	—
264	C₃×#120	C₂³	1	16	yes	—
265	C₃×#120	C₂³	1	8	yes	—
266	C₃×#120	C₂³	1	8	yes	—
267	C₃×C₄×Q₈	C₂³	1	2	yes	—
268	C₃×C₄×Q₈	C₂³	1	2	yes	—
269	C₃×C₄×Q₈	C₂³	1	8	yes	—
270	C₃×C₄×Q₈	C₂³	1	8	yes	—
271	C₃×C₄×D₄	C₂³	1	2	yes	—
272	C₃×C₄×D₄	C₂³	1	4	yes	—
273	C₃×C₄×D₄	C₂³	1	8	yes	—
274	C₃×C₄×D₄	C₂³	1	4	yes	—
275	C₃×C₄×D₄	C₂³	1	4	yes	—
276	C₃×C₄×D₄	C₂³	1	4	yes	—
277	C₃×C₄×D₄	C₂³	1	2	yes	—
278	C₃×C₄×D₄	C₂³	1	8	yes	—
279	C₃×C₄×D₄	C₂³	1	4	yes	—
280	C₃×C₄×D₄	C₂³	1	4	yes	—
281	C₃×C₄×D₄	C₂³	1	4	yes	—
282	C₃×C₄×D₄	C₂³	1	2	yes	—
283	C₃×C₄×D₄	C₂³	1	4	yes	—
284	C₃×C₄×D₄	C₂³	1	2	yes	—
285	C₃×C₄×D₄	C₂³	1	16	yes	—
286	C₃×C₄×D₄	C₂³	1	16	yes	—
287	C₃×C₄×D₄	C₂³	1	8	yes	—
288	C₃×C₄×D₄	C₂³	1	4	yes	—
289	C₃×C₄×D₄	C₂³	1	8	yes	—
290	C₃×C₄×D₄	C₂³	1	8	yes	—
291	C₃×C₄×D₄	C₂³	1	16	yes	—
292	C₃×C₄×D₄	C₂³	1	16	yes	—
293	C₃×C₄×D₄	C₂³	1	8	yes	—
294	C₃×#117	C₂³	1	2	yes	—
295	C₃×#117	C₂³	1	4	yes	—
296	C₃×#117	C₂³	1	4	yes	—
297	C₃×#117	C₂³	1	8	yes	—
298	C₃×#117	C₂³	1	8	yes	—
299	C₃×#117	C₂³	1	8	yes	—
300	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
302	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
303	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
304	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
305	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
307	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
308	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
309	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
310	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
311	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
314	C₂×C₃×C₂²⋊C₄	C₂³	1	16	yes	—
315	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
316	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
317	C₂×C₃×C₂²⋊C₄	C₂³	1	16	yes	—
318	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₄²	C₂³	1	4	yes	—
320	C₂×H(5,𝔽₂)	C₂²×C₃	1	2	yes	complemented
321	C₂×H(5,𝔽₂)	C₂²×C₃	1	4	yes	complemented
322	C₂²×#41	C₂²×C₃	1	4	yes	complemented
323	C₂²×#41	C₂²×C₃	1	2	yes	complemented
324	#562	C₂²×C₃	1	16	yes	complemented
325	#562	C₂²×C₃	1	16	yes	complemented
326	#560	C₂²×C₃	1	16	yes	complemented
327	#556	C₂²×C₃	1	4	yes	complemented
328	#555	C₂²×C₃	1	4	yes	complemented
329	#554	C₂²×C₃	1	8	yes	complemented
330	#554	C₂²×C₃	1	4	yes	complemented
331	#554	C₂²×C₃	1	8	yes	complemented
332	#553	C₂²×C₃	1	8	yes	complemented
333	#553	C₂²×C₃	1	8	yes	complemented
334	#552	C₂²×C₃	1	8	yes	complemented
335	#551	C₂²×C₃	1	16	yes	complemented
336	#550	C₂²×C₃	1	2	yes	complemented
337	#550	C₂²×C₃	1	8	yes	complemented
338	#550	C₂²×C₃	1	8	yes	complemented
339	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
340	#548	C₂²×C₃	1	4	yes	complemented
341	#548	C₂²×C₃	1	8	yes	complemented
342	#548	C₂²×C₃	1	8	yes	complemented
343	#547	C₂²×C₃	1	4	yes	complemented
344	#547	C₂²×C₃	1	8	yes	complemented
345	#547	C₂²×C₃	1	4	yes	complemented
346	#547	C₂²×C₃	1	4	yes	complemented
347	#547	C₂²×C₃	1	2	yes	complemented
348	#547	C₂²×C₃	1	8	yes	complemented
349	#547	C₂²×C₃	1	4	yes	complemented
350	#547	C₂²×C₃	1	4	yes	complemented
351	#546	C₂²×C₃	1	8	yes	complemented
352	#546	C₂²×C₃	1	4	yes	complemented
353	#546	C₂²×C₃	1	8	yes	complemented
354	#546	C₂²×C₃	1	16	yes	complemented
355	#546	C₂²×C₃	1	16	yes	complemented
356	#546	C₂²×C₃	1	8	yes	complemented
357	#546	C₂²×C₃	1	16	yes	complemented
358	#546	C₂²×C₃	1	8	yes	complemented
359	#546	C₂²×C₃	1	8	yes	complemented
360	D₄²	C₂²×C₃	1	4	yes	complemented
361	D₄²	C₂²×C₃	1	2	yes	complemented
362	D₄²	C₂²×C₃	1	16	yes	complemented
363	D₄²	C₂²×C₃	1	8	yes	complemented
364	D₄²	C₂²×C₃	1	4	yes	complemented
365	#544	C₂²×C₃	1	1	yes	characteristic, complemented
366	#543	C₂²×C₃	1	8	yes	complemented
367	#542	C₂²×C₃	1	4	yes	complemented
368	#542	C₂²×C₃	1	8	yes	complemented
369	#542	C₂²×C₃	1	8	yes	complemented
370	#540	C₂²×C₃	1	4	yes	complemented
371	#540	C₂²×C₃	1	16	yes	complemented
372	#539	C₂²×C₃	1	8	yes	complemented
373	#539	C₂²×C₃	1	16	yes	complemented
374	#538	C₂²×C₃	1	4	yes	complemented
375	#538	C₂²×C₃	1	16	yes	complemented
376	#538	C₂²×C₃	1	8	yes	complemented
377	#537	C₂²×C₃	1	1	yes	characteristic, complemented
378	#537	C₂²×C₃	1	4	yes	complemented
379	#537	C₂²×C₃	1	2	yes	complemented
380	#537	C₂²×C₃	1	8	yes	complemented
381	#537	C₂²×C₃	1	8	yes	complemented
382	#537	C₂²×C₃	1	8	yes	complemented
383	#537	C₂²×C₃	1	8	yes	complemented
384	#537	C₂²×C₃	1	8	yes	complemented
385	#537	C₂²×C₃	1	4	yes	complemented
386	#537	C₂²×C₃	1	8	yes	complemented
387	#535	C₂²×C₃	1	2	yes	complemented
388	#535	C₂²×C₃	1	8	yes	complemented
389	#535	C₂²×C₃	1	8	yes	complemented
390	#535	C₂²×C₃	1	4	yes	complemented
391	#534	C₂²×C₃	1	4	yes	complemented
392	#534	C₂²×C₃	1	16	yes	complemented
393	#533	C₂²×C₃	1	4	yes	complemented
394	#532	C₂²×C₃	1	4	yes	complemented
395	#532	C₂²×C₃	1	2	yes	complemented
396	#532	C₂²×C₃	1	4	yes	complemented
397	#532	C₂²×C₃	1	4	yes	complemented
398	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
399	#529	C₂²×C₃	1	4	yes	complemented
400	#525	C₂²×C₃	1	4	yes	complemented
401	#525	C₂²×C₃	1	4	yes	complemented
402	#525	C₂²×C₃	1	8	yes	complemented
403	#525	C₂²×C₃	1	8	yes	complemented
404	#525	C₂²×C₃	1	8	yes	complemented
405	C₂×#123	C₂²×C₃	1	4	yes	complemented
406	C₂×C₂²⋊Q₈	C₂²×C₃	1	8	yes	complemented
407	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
408	C₂×#121	C₂²×C₃	1	8	yes	complemented
409	C₂×#121	C₂²×C₃	1	8	yes	complemented
410	C₂×#121	C₂²×C₃	1	2	yes	complemented
411	C₂×#121	C₂²×C₃	1	4	yes	complemented
412	C₂×#121	C₂²×C₃	1	8	yes	complemented
413	#520	C₂²×C₃	1	4	yes	complemented
414	#520	C₂²×C₃	1	4	yes	complemented
415	C₄×#41	C₂²×C₃	1	2	yes	complemented
416	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
417	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
418	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
419	C₂²×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
420	C₂⁴×C₃	C₂⁴	1	2	yes	—
421	C₂⁴×C₃	C₂⁴	1	2	yes	—
422	C₂⁴×C₃	C₂⁴	1	8	yes	—
423	C₂⁴×C₃	C₂⁴	1	8	yes	—
424	C₃×#41	—	2	16	no	—
425	C₃×#41	—	2	8	no	—
426	C₃×#41	—	2	16	no	—
427	C₃×#41	—	4	16	no	—
428	C₃×#41	—	4	8	no	—
429	C₃×#41	—	4	16	no	—
430	C₃×#41	—	4	16	no	—
431	C₃×#41	—	4	16	no	—
432	C₃×#41	—	4	8	no	—
433	C₃×#41	—	4	8	no	—
434	C₃×#41	—	4	8	no	—
435	C₃×#41	—	4	16	no	—
436	C₃×#41	—	4	16	no	—
437	C₂×C₃×Q₈	—	4	8	no	—
438	C₂×C₃×Q₈	—	4	4	no	—
439	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
440	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
441	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
442	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
443	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
444	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
445	C₂×C₃×D₄	—	2	4	no	—
446	C₂×C₃×D₄	—	2	16	no	—
447	C₂×C₃×D₄	—	2	4	no	—
448	C₂×C₃×D₄	—	4	8	no	—
449	C₂×C₃×D₄	—	4	8	no	—
450	C₂×C₃×D₄	—	4	16	no	—
451	C₂×C₃×D₄	—	4	16	no	—
452	C₂×C₃×D₄	—	4	8	no	—
453	C₂×C₃×D₄	—	4	16	no	—
454	C₂×C₃×D₄	—	4	32	no	—
455	C₂×C₃×D₄	—	4	16	no	—
456	C₂×C₃×D₄	C₂⁴	1	2	yes	—
457	C₂×C₃×D₄	C₂⁴	1	4	yes	—
458	C₂×C₃×D₄	C₂⁴	1	8	yes	—
459	C₂×C₃×D₄	C₂⁴	1	8	yes	—
460	C₂×C₃×D₄	C₂⁴	1	8	yes	—
461	C₂×C₃×D₄	C₂⁴	1	4	yes	—
462	C₂×C₃×D₄	C₂⁴	1	4	yes	—
463	C₂×C₃×D₄	C₂⁴	1	2	yes	—
464	C₂×C₃×D₄	C₂⁴	1	4	yes	—
465	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
466	C₂×C₃×D₄	C₂⁴	1	4	yes	—
467	C₂×C₃×D₄	C₂⁴	1	8	yes	—
468	C₂×C₃×D₄	C₂⁴	1	8	yes	—
469	C₂×C₃×D₄	C₂⁴	1	8	yes	—
470	C₂×C₃×D₄	C₂⁴	1	8	yes	—
471	C₂×C₃×D₄	C₂⁴	1	8	yes	—
472	C₂×C₃×D₄	C₂⁴	1	16	yes	—
473	C₂×C₃×D₄	C₂⁴	1	8	yes	—
474	C₂×C₃×D₄	C₂⁴	1	16	yes	—
475	C₂×C₃×D₄	C₂⁴	1	8	yes	—
476	C₂×C₃×D₄	C₂⁴	1	8	yes	—
477	C₂×C₃×D₄	C₂⁴	1	4	yes	—
478	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
479	C₂²×C₃×C₄	—	2	8	no	—
480	C₂²×C₃×C₄	—	4	16	no	—
481	C₂²×C₃×C₄	—	4	4	no	—
482	C₂²×C₃×C₄	—	4	8	no	—
483	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
484	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
485	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
486	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
487	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
488	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
489	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
490	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
491	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
492	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
493	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
494	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
495	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
496	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
497	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
498	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
499	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
500	C₂²×C₃×C₄	C₂⁴	1	16	yes	—
501	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
502	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
503	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
504	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
505	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
506	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
507	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
508	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
509	C₃×C₄⋊C₄	C₂⁴	1	16	yes	—
510	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
511	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
512	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
513	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
514	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
515	C₃×C₄⋊C₄	C₂⁴	1	16	yes	—
516	C₃×C₄⋊C₄	C₂⁴	1	16	yes	—
517	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
518	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
519	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
520	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
521	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
522	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
523	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
524	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
526	C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
527	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
528	C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
529	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
530	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
531	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
532	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
533	C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
534	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
535	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
536	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
537	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
538	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
539	C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
540	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
541	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
542	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
543	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
544	C₃×C₄²	C₂⁴	1	2	yes	—
545	C₃×C₄²	C₂⁴	1	2	yes	—
546	C₃×C₄²	C₂⁴	1	4	yes	—
547	C₃×C₄²	C₂⁴	1	4	yes	—
548	C₃×C₄²	C₂⁴	1	4	yes	—
549	C₃×C₄²	C₂⁴	1	16	yes	—
550	H(5,𝔽₂)	—	4	16	no	—
551	H(5,𝔽₂)	—	4	8	no	—
552	C₂×#41	—	4	16	no	—
553	C₂×#41	—	4	8	no	—
554	C₂×#41	C₂³×C₃	1	2	yes	—
555	C₂×#41	C₂³×C₃	1	4	yes	—
556	C₂×#41	C₂³×C₃	1	4	yes	—
557	C₂×#41	C₂³×C₃	1	4	yes	—
558	C₂×#41	C₂³×C₃	1	8	yes	—
559	C₂×#41	C₂³×C₃	1	8	yes	—
560	C₂×#41	C₂³×C₃	1	8	yes	—
561	C₂×#41	C₂³×C₃	1	8	yes	—
562	C₂×#41	C₂³×C₃	1	8	yes	—
563	C₂×#41	C₂³×C₃	1	4	yes	—
564	C₂×#41	C₂³×C₃	1	8	yes	—
565	C₂×#41	C₂³×C₃	1	4	yes	—
566	C₂×#41	C₂³×C₃	1	4	yes	—
567	C₂²×Q₈	C₂³×C₃	1	4	yes	—
568	C₂²×Q₈	C₂³×C₃	1	2	yes	—
569	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
570	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
571	C₂²×D₄	C₂³×C₃	1	4	yes	—
572	C₂²×D₄	C₂³×C₃	1	8	yes	—
573	C₂²×D₄	C₂³×C₃	1	4	yes	—
574	C₂²×D₄	C₂³×C₃	1	8	yes	—
575	C₂²×D₄	C₂³×C₃	1	4	yes	—
576	C₂²×D₄	C₂³×C₃	1	16	yes	—
577	C₂²×D₄	C₂³×C₃	1	8	yes	—
578	C₂²×D₄	C₂³×C₃	1	8	yes	—
579	C₂²×D₄	C₂³×C₃	1	4	yes	—
580	C₂³×C₄	C₂³×C₃	1	2	yes	—
581	C₂³×C₄	C₂³×C₃	1	4	yes	—
582	C₂³×C₄	C₂³×C₃	1	2	yes	—
583	C₂³×C₄	C₂³×C₃	1	8	yes	—
584	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
585	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
586	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
587	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
588	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
589	#127	C₂³×C₃	1	2	yes	—
590	#127	C₂³×C₃	1	4	yes	—
591	#127	C₂³×C₃	1	4	yes	—
592	#127	C₂³×C₃	1	16	yes	—
593	#126	C₂³×C₃	1	8	yes	—
594	#126	C₂³×C₃	1	16	yes	—
595	#126	C₂³×C₃	1	16	yes	—
596	#125	C₂³×C₃	1	4	yes	—
597	#125	C₂³×C₃	1	8	yes	—
598	#125	C₂³×C₃	1	16	yes	—
599	#124	C₂³×C₃	1	4	yes	—
600	#124	C₂³×C₃	1	8	yes	—
601	#124	C₂³×C₃	1	8	yes	—
602	#124	C₂³×C₃	1	8	yes	—
603	#124	C₂³×C₃	1	4	yes	—
604	#124	C₂³×C₃	1	16	yes	—
605	#124	C₂³×C₃	1	16	yes	—
606	#123	C₂³×C₃	1	16	yes	—
607	#123	C₂³×C₃	1	16	yes	—
608	#123	C₂³×C₃	1	16	yes	—
609	#123	C₂³×C₃	1	8	yes	—
610	#123	C₂³×C₃	1	8	yes	—
611	#123	C₂³×C₃	1	16	yes	—
612	#123	C₂³×C₃	1	8	yes	—
613	#123	C₂³×C₃	1	8	yes	—
614	#123	C₂³×C₃	1	8	yes	—
615	#123	C₂³×C₃	1	16	yes	—
616	#123	C₂³×C₃	1	16	yes	—
617	#123	C₂³×C₃	1	16	yes	—
618	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
619	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
620	C₂²⋊Q₈	C₂³×C₃	1	16	yes	—
621	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
622	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
623	C₂²⋊Q₈	C₂³×C₃	1	16	yes	—
624	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
625	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
626	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
627	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
628	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
629	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
630	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
631	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
632	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
633	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
634	C₂²⋊Q₈	C₂³×C₃	1	16	yes	—
635	C₂²⋊Q₈	C₂³×C₃	1	16	yes	—
636	C₂²⋊Q₈	C₂³×C₃	1	16	yes	—
637	#121	C₂³×C₃	1	8	yes	—
638	#121	C₂³×C₃	1	4	yes	—
639	#121	C₂³×C₃	1	8	yes	—
640	#121	C₂³×C₃	1	4	yes	—
641	#121	C₂³×C₃	1	8	yes	—
642	#121	C₂³×C₃	1	4	yes	—
643	#121	C₂³×C₃	1	4	yes	—
644	#121	C₂³×C₃	1	4	yes	—
645	#121	C₂³×C₃	1	16	yes	—
646	#121	C₂³×C₃	1	16	yes	—
647	#121	C₂³×C₃	1	8	yes	—
648	#121	C₂³×C₃	1	8	yes	—
649	#121	C₂³×C₃	1	8	yes	—
650	#121	C₂³×C₃	1	8	yes	—
651	#121	C₂³×C₃	1	8	yes	—
652	#121	C₂³×C₃	1	16	yes	—
653	#121	C₂³×C₃	1	8	yes	—
654	#121	C₂³×C₃	1	16	yes	—
655	#121	C₂³×C₃	1	16	yes	—
656	#121	C₂³×C₃	1	16	yes	—
657	#121	C₂³×C₃	1	8	yes	—
658	#121	C₂³×C₃	1	4	yes	—
659	#121	C₂³×C₃	1	4	yes	—
660	#121	C₂³×C₃	1	4	yes	—
661	#121	C₂³×C₃	1	8	yes	—
662	#121	C₂³×C₃	1	8	yes	—
663	#121	C₂³×C₃	1	8	yes	—
664	#121	C₂³×C₃	1	8	yes	—
665	#121	C₂³×C₃	1	4	yes	—
666	#121	C₂³×C₃	1	8	yes	—
667	#121	C₂³×C₃	1	4	yes	—
668	#121	C₂³×C₃	1	4	yes	—
669	#121	C₂³×C₃	1	8	yes	—
670	#121	C₂³×C₃	1	16	yes	—
671	#121	C₂³×C₃	1	16	yes	—
672	#121	C₂³×C₃	1	16	yes	—
673	#120	C₂³×C₃	1	8	yes	—
674	#120	C₂³×C₃	1	8	yes	—
675	#120	C₂³×C₃	1	16	yes	—
676	#120	C₂³×C₃	1	8	yes	—
677	#120	C₂³×C₃	1	8	yes	—
678	#120	C₂³×C₃	1	16	yes	—
679	#120	C₂³×C₃	1	16	yes	—
680	#120	C₂³×C₃	1	16	yes	—
681	C₄×Q₈	C₂³×C₃	1	2	yes	—
682	C₄×Q₈	C₂³×C₃	1	2	yes	—
683	C₄×Q₈	C₂³×C₃	1	8	yes	—
684	C₄×Q₈	C₂³×C₃	1	8	yes	—
685	C₄×D₄	C₂³×C₃	1	2	yes	—
686	C₄×D₄	C₂³×C₃	1	4	yes	—
687	C₄×D₄	C₂³×C₃	1	8	yes	—
688	C₄×D₄	C₂³×C₃	1	4	yes	—
689	C₄×D₄	C₂³×C₃	1	4	yes	—
690	C₄×D₄	C₂³×C₃	1	4	yes	—
691	C₄×D₄	C₂³×C₃	1	2	yes	—
692	C₄×D₄	C₂³×C₃	1	8	yes	—
693	C₄×D₄	C₂³×C₃	1	4	yes	—
694	C₄×D₄	C₂³×C₃	1	4	yes	—
695	C₄×D₄	C₂³×C₃	1	4	yes	—
696	C₄×D₄	C₂³×C₃	1	2	yes	—
697	C₄×D₄	C₂³×C₃	1	4	yes	—
698	C₄×D₄	C₂³×C₃	1	2	yes	—
699	C₄×D₄	C₂³×C₃	1	16	yes	—
700	C₄×D₄	C₂³×C₃	1	16	yes	—
701	C₄×D₄	C₂³×C₃	1	8	yes	—
702	C₄×D₄	C₂³×C₃	1	4	yes	—
703	C₄×D₄	C₂³×C₃	1	8	yes	—
704	C₄×D₄	C₂³×C₃	1	8	yes	—
705	C₄×D₄	C₂³×C₃	1	16	yes	—
706	C₄×D₄	C₂³×C₃	1	16	yes	—
707	C₄×D₄	C₂³×C₃	1	8	yes	—
708	#117	C₂³×C₃	1	2	yes	—
709	#117	C₂³×C₃	1	4	yes	—
710	#117	C₂³×C₃	1	4	yes	—
711	#117	C₂³×C₃	1	8	yes	—
712	#117	C₂³×C₃	1	8	yes	—
713	#117	C₂³×C₃	1	8	yes	—
714	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
716	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
717	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
718	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
719	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
721	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
722	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
723	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
724	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
728	C₂×C₂²⋊C₄	C₂³×C₃	1	16	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₃	1	16	yes	—
732	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
733	C₂×C₄²	C₂³×C₃	1	4	yes	—
734	C₂³×C₃	—	2	4	no	—
735	C₂³×C₃	—	2	4	no	—
736	C₂³×C₃	—	2	16	no	—
737	C₂³×C₃	—	2	4	no	—
738	C₂³×C₃	—	4	2	no	—
739	C₂³×C₃	—	4	8	no	—
740	C₂³×C₃	—	4	2	no	—
741	C₂³×C₃	—	4	2	no	—
742	C₂³×C₃	—	4	8	no	—
743	C₂³×C₃	—	4	8	no	—
744	C₂³×C₃	—	4	8	no	—
745	C₂³×C₃	—	4	8	no	—
746	C₂³×C₃	C₂⁵	1	8	yes	—
747	C₂³×C₃	C₂⁵	1	4	yes	—
748	C₂³×C₃	C₂⁵	1	4	yes	—
749	C₂³×C₃	C₂⁵	1	2	yes	—
750	C₂³×C₃	C₂⁵	1	2	yes	—
751	C₂³×C₃	C₂⁵	1	1	yes	characteristic
752	C₃×Q₈	—	2	4	no	—
753	C₃×Q₈	—	2	8	no	—
754	C₃×Q₈	—	2	8	no	—
755	C₃×Q₈	—	4	8	no	—
756	C₃×Q₈	—	4	4	no	—
757	C₃×Q₈	—	4	4	no	—
758	C₃×D₄	—	2	16	no	—
759	C₃×D₄	—	2	4	no	—
760	C₃×D₄	—	2	16	no	—
761	C₃×D₄	—	2	16	no	—
762	C₃×D₄	—	2	8	no	—
763	C₃×D₄	—	2	8	no	—
764	C₃×D₄	—	2	8	no	—
765	C₃×D₄	—	2	2	no	—
766	C₃×D₄	—	2	8	no	—
767	C₃×D₄	—	2	4	no	—
768	C₃×D₄	—	4	4	no	—
769	C₃×D₄	—	4	8	no	—
770	C₃×D₄	—	4	8	no	—
771	C₃×D₄	—	4	16	no	—
772	C₃×D₄	—	4	16	no	—
773	C₃×D₄	—	4	8	no	—
774	C₃×D₄	—	4	8	no	—
775	C₃×D₄	—	4	8	no	—
776	C₃×D₄	—	4	8	no	—
777	C₃×D₄	—	4	4	no	—
778	C₃×D₄	—	4	8	no	—
779	C₃×D₄	—	4	8	no	—
780	C₃×D₄	H(5,𝔽₂)	1	4	yes	complemented
781	C₂×C₃×C₄	—	2	4	no	—
782	C₂×C₃×C₄	—	2	16	no	—
783	C₂×C₃×C₄	—	2	8	no	—
784	C₂×C₃×C₄	—	2	8	no	—
785	C₂×C₃×C₄	—	2	2	no	—
786	C₂×C₃×C₄	—	2	8	no	—
787	C₂×C₃×C₄	—	2	8	no	—
788	C₂×C₃×C₄	—	2	16	no	—
789	C₂×C₃×C₄	—	2	8	no	—
790	C₂×C₃×C₄	—	4	2	no	—
791	C₂×C₃×C₄	—	4	4	no	—
792	C₂×C₃×C₄	—	4	8	no	—
793	C₂×C₃×C₄	—	4	4	no	—
794	C₂×C₃×C₄	—	4	8	no	—
795	C₂×C₃×C₄	—	4	8	no	—
796	C₂×C₃×C₄	—	4	8	no	—
797	C₂×C₃×C₄	—	4	1	no	—
798	C₂×C₃×C₄	—	4	4	no	—
799	C₂×C₃×C₄	—	4	16	no	—
800	C₂×C₃×C₄	—	4	8	no	—
801	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	complemented
802	C₂×C₃×C₄	C₂⁵	1	4	yes	—
803	C₂×C₃×C₄	C₂⁵	1	2	yes	—
804	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
805	C₂×C₃×C₄	C₂⁵	1	4	yes	—
806	C₂×C₃×C₄	C₂⁵	1	4	yes	—
807	C₂×C₃×C₄	C₂⁵	1	8	yes	—
808	C₂×C₃×C₄	C₂⁵	1	8	yes	—
809	C₂×C₃×C₄	C₂⁵	1	4	yes	—
810	C₂×C₃×C₄	C₂⁵	1	4	yes	—
811	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
812	C₂×C₃×C₄	C₂⁵	1	2	yes	—
813	C₂⁴	C₂⁴×C₃	1	2	yes	—
814	C₂⁴	C₂⁴×C₃	1	2	yes	—
815	C₂⁴	C₂⁴×C₃	1	8	yes	—
816	C₂⁴	C₂⁴×C₃	1	8	yes	—
817	#41	—	2	16	no	—
818	#41	—	2	8	no	—
819	#41	—	2	16	no	—
820	#41	—	4	16	no	—
821	#41	—	4	8	no	—
822	#41	—	4	16	no	—
823	#41	—	4	16	no	—
824	#41	—	4	16	no	—
825	#41	—	4	8	no	—
826	#41	—	4	8	no	—
827	#41	—	4	8	no	—
828	#41	—	4	16	no	—
829	#41	—	4	16	no	—
830	C₂×Q₈	—	4	8	no	—
831	C₂×Q₈	—	4	4	no	—
832	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
833	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
834	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
835	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
836	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
837	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	16	no	—
840	C₂×D₄	—	2	4	no	—
841	C₂×D₄	—	4	8	no	—
842	C₂×D₄	—	4	8	no	—
843	C₂×D₄	—	4	16	no	—
844	C₂×D₄	—	4	16	no	—
845	C₂×D₄	—	4	8	no	—
846	C₂×D₄	—	4	16	no	—
847	C₂×D₄	—	4	32	no	—
848	C₂×D₄	—	4	16	no	—
849	C₂×D₄	C₂⁴×C₃	1	2	yes	—
850	C₂×D₄	C₂⁴×C₃	1	4	yes	—
851	C₂×D₄	C₂⁴×C₃	1	8	yes	—
852	C₂×D₄	C₂⁴×C₃	1	8	yes	—
853	C₂×D₄	C₂⁴×C₃	1	8	yes	—
854	C₂×D₄	C₂⁴×C₃	1	4	yes	—
855	C₂×D₄	C₂⁴×C₃	1	4	yes	—
856	C₂×D₄	C₂⁴×C₃	1	2	yes	—
857	C₂×D₄	C₂⁴×C₃	1	4	yes	—
858	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
859	C₂×D₄	C₂⁴×C₃	1	4	yes	—
860	C₂×D₄	C₂⁴×C₃	1	8	yes	—
861	C₂×D₄	C₂⁴×C₃	1	8	yes	—
862	C₂×D₄	C₂⁴×C₃	1	8	yes	—
863	C₂×D₄	C₂⁴×C₃	1	8	yes	—
864	C₂×D₄	C₂⁴×C₃	1	8	yes	—
865	C₂×D₄	C₂⁴×C₃	1	16	yes	—
866	C₂×D₄	C₂⁴×C₃	1	8	yes	—
867	C₂×D₄	C₂⁴×C₃	1	8	yes	—
868	C₂×D₄	C₂⁴×C₃	1	16	yes	—
869	C₂×D₄	C₂⁴×C₃	1	8	yes	—
870	C₂×D₄	C₂⁴×C₃	1	4	yes	—
871	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
872	C₂²×C₄	—	2	8	no	—
873	C₂²×C₄	—	4	16	no	—
874	C₂²×C₄	—	4	4	no	—
875	C₂²×C₄	—	4	8	no	—
876	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
877	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
878	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
879	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
880	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
881	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
882	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
883	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
884	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
885	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
887	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
888	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
889	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
890	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
891	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
892	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
893	C₂²×C₄	C₂⁴×C₃	1	16	yes	—
894	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
895	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
896	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
897	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
898	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
899	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
900	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
901	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
902	C₄⋊C₄	C₂⁴×C₃	1	16	yes	—
903	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
904	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
905	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
906	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
907	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
908	C₄⋊C₄	C₂⁴×C₃	1	16	yes	—
909	C₄⋊C₄	C₂⁴×C₃	1	16	yes	—
910	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
911	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
912	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
913	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
914	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
915	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
916	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
917	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
918	C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
919	C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
920	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
921	C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
922	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
923	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
924	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
925	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
926	C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
927	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
928	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
929	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
930	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
931	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
932	C₂²⋊C₄	C₂⁴×C₃	1	16	yes	—
933	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
934	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
935	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
936	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
937	C₄²	C₂⁴×C₃	1	2	yes	—
938	C₄²	C₂⁴×C₃	1	2	yes	—
939	C₄²	C₂⁴×C₃	1	4	yes	—
940	C₄²	C₂⁴×C₃	1	4	yes	—
941	C₄²	C₂⁴×C₃	1	4	yes	—
942	C₄²	C₂⁴×C₃	1	16	yes	—
943	C₂²×C₃	—	2	2	no	—
944	C₂²×C₃	—	2	1	no	—
945	C₂²×C₃	—	2	1	no	—
946	C₂²×C₃	—	2	2	no	—
947	C₂²×C₃	—	2	2	no	—
948	C₂²×C₃	—	2	4	no	—
949	C₂²×C₃	—	2	4	no	—
950	C₂²×C₃	—	2	8	no	—
951	C₂²×C₃	—	2	4	no	—
952	C₂²×C₃	—	2	2	no	—
953	C₂²×C₃	—	2	8	no	—
954	C₂²×C₃	—	2	4	no	—
955	C₂²×C₃	—	2	4	no	—
956	C₂²×C₃	—	2	2	no	—
957	C₂²×C₃	—	2	8	no	—
958	C₂²×C₃	—	2	4	no	—
959	C₂²×C₃	—	4	8	no	—
960	C₂²×C₃	—	8	4	no	—
961	C₂²×C₃	—	8	16	no	—
962	C₂²×C₃	—	16	8	no	—
963	C₂²×C₃	C₂×H(5,𝔽₂)	1	4	yes	—
964	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
965	C₂²×C₃	C₂⁶	1	1	yes	characteristic
966	C₃×C₄	—	2	4	no	—
967	C₃×C₄	—	2	4	no	—
968	C₃×C₄	—	2	4	no	—
969	C₃×C₄	—	2	1	no	—
970	C₃×C₄	—	2	8	no	—
971	C₃×C₄	—	2	8	no	—
972	C₃×C₄	—	2	4	no	—
973	C₃×C₄	—	2	2	no	—
974	C₃×C₄	—	2	4	no	—
975	C₃×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
976	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
977	C₂³	—	2	4	no	—
978	C₂³	—	2	4	no	—
979	C₂³	—	2	16	no	—
980	C₂³	—	2	4	no	—
981	C₂³	—	4	2	no	—
982	C₂³	—	4	8	no	—
983	C₂³	—	4	2	no	—
984	C₂³	—	4	2	no	—
985	C₂³	—	4	8	no	—
986	C₂³	—	4	8	no	—
987	C₂³	—	4	8	no	—
988	C₂³	—	4	8	no	—
989	C₂³	C₂⁵×C₃	1	8	yes	—
990	C₂³	C₂⁵×C₃	1	4	yes	—
991	C₂³	C₂⁵×C₃	1	4	yes	—
992	C₂³	C₂⁵×C₃	1	2	yes	—
993	C₂³	C₂⁵×C₃	1	2	yes	—
994	C₂³	C₂⁵×C₃	1	1	yes	characteristic
995	Q₈	—	2	4	no	—
996	Q₈	—	2	8	no	—
997	Q₈	—	2	8	no	—
998	Q₈	—	4	8	no	—
999	Q₈	—	4	4	no	—
1000	Q₈	—	4	4	no	—
1001	D₄	—	2	16	no	—
1002	D₄	—	2	4	no	—
1003	D₄	—	2	16	no	—
1004	D₄	—	2	16	no	—
1005	D₄	—	2	8	no	—
1006	D₄	—	2	8	no	—
1007	D₄	—	2	8	no	—
1008	D₄	—	2	2	no	—
1009	D₄	—	2	8	no	—
1010	D₄	—	2	4	no	—
1011	D₄	—	4	4	no	—
1012	D₄	—	4	8	no	—
1013	D₄	—	4	8	no	—
1014	D₄	—	4	16	no	—
1015	D₄	—	4	16	no	—
1016	D₄	—	4	8	no	—
1017	D₄	—	4	8	no	—
1018	D₄	—	4	8	no	—
1019	D₄	—	4	8	no	—
1020	D₄	—	4	4	no	—
1021	D₄	—	4	8	no	—
1022	D₄	—	4	8	no	—
1023	D₄	C₃×H(5,𝔽₂)	1	4	yes	complemented
1024	C₂×C₄	—	2	4	no	—
1025	C₂×C₄	—	2	16	no	—
1026	C₂×C₄	—	2	8	no	—
1027	C₂×C₄	—	2	8	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	8	no	—
1030	C₂×C₄	—	2	8	no	—
1031	C₂×C₄	—	2	16	no	—
1032	C₂×C₄	—	2	8	no	—
1033	C₂×C₄	—	4	2	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	4	8	no	—
1036	C₂×C₄	—	4	4	no	—
1037	C₂×C₄	—	4	8	no	—
1038	C₂×C₄	—	4	8	no	—
1039	C₂×C₄	—	4	8	no	—
1040	C₂×C₄	—	4	16	no	—
1041	C₂×C₄	—	4	8	no	—
1042	C₂×C₄	—	4	1	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	C₃×H(5,𝔽₂)	1	4	yes	complemented
1045	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1046	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1047	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1048	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1049	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1050	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1051	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1052	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1053	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1054	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1055	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1056	C₂×C₃	—	2	2	no	—
1057	C₂×C₃	—	2	4	no	—
1058	C₂×C₃	—	4	2	no	—
1059	C₂×C₃	—	4	4	no	—
1060	C₂×C₃	—	4	4	no	—
1061	C₂×C₃	—	4	8	no	—
1062	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1063	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1064	C₂×C₃	2₋¹⁺⁶	1	1	yes	characteristic
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	1	no	—
1067	C₂²	—	2	1	no	—
1068	C₂²	—	2	2	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	4	no	—
1071	C₂²	—	2	4	no	—
1072	C₂²	—	2	8	no	—
1073	C₂²	—	2	4	no	—
1074	C₂²	—	2	2	no	—
1075	C₂²	—	2	8	no	—
1076	C₂²	—	2	4	no	—
1077	C₂²	—	2	4	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	8	no	—
1080	C₂²	—	2	4	no	—
1081	C₂²	—	4	8	no	—
1082	C₂²	—	8	4	no	—
1083	C₂²	—	8	16	no	—
1084	C₂²	—	16	8	no	—
1085	C₂²	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1086	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1087	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1088	C₄	—	2	4	no	—
1089	C₄	—	2	4	no	—
1090	C₄	—	2	4	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	8	no	—
1093	C₄	—	2	8	no	—
1094	C₄	—	2	4	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	4	no	—
1097	C₄	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1098	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1099	C₃	#62914	1	1	yes	characteristic, direct product factor, Sylow
1100	C₂	—	2	2	no	—
1101	C₂	—	2	4	no	—
1102	C₂	—	4	2	no	—
1103	C₂	—	4	4	no	—
1104	C₂	—	4	4	no	—
1105	C₂	—	4	8	no	—
1106	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1107	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1108	C₂	C₃×2₋¹⁺⁶	1	1	yes	characteristic

	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×#3548	C₂	semidirect
2. C₃×#3546	C₂	semidirect
3. C₃×#3542	C₂	semidirect
4. C₃×#3536	C₂	semidirect
5. C₃×#3536	C₂	semidirect
6. C₃×#3534	C₂	semidirect
7. C₃×#3520	C₂	semidirect
8. C₃×#3511	C₂	semidirect
9. C₃×#3496	C₂	semidirect
10. C₃×#3496	C₂	semidirect
11. C₃×#3492	C₂	semidirect
12. C₃×#3488	C₂	semidirect
13. C₃×#3488	C₂	semidirect
14. C₃×D₄×#41	C₂	semidirect
15. C₂×C₃×#547	C₂	semidirect
16. C₃×#3460	C₂	semidirect
17. C₂×C₃×#537	C₂	semidirect
18. #62914	C₃	direct (N × H)
19. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
20. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
21. C₂²×C₃×#41	C₂²	semidirect
22. C₂²×C₃×#41	C₂²	semidirect
23. C₃×#562	C₂²	semidirect
24. C₃×#562	C₂²	semidirect
25. C₃×#560	C₂²	semidirect
26. C₃×#556	C₂²	semidirect
27. C₃×#555	C₂²	semidirect
28. C₃×#554	C₂²	semidirect
29. C₃×#554	C₂²	semidirect
30. C₃×#554	C₂²	semidirect
31. C₃×#553	C₂²	semidirect
32. C₃×#553	C₂²	semidirect
33. C₃×#552	C₂²	semidirect
34. C₃×#551	C₂²	semidirect
35. C₃×#550	C₂²	semidirect
36. C₃×#550	C₂²	semidirect
37. C₃×#550	C₂²	semidirect
38. C₃×D₄×Q₈	C₂²	semidirect
39. C₃×#548	C₂²	semidirect
40. C₃×#548	C₂²	semidirect
41. C₃×#548	C₂²	semidirect
42. C₃×#547	C₂²	semidirect
43. C₃×#547	C₂²	semidirect
44. C₃×#547	C₂²	semidirect
45. C₃×#547	C₂²	semidirect
46. C₃×#547	C₂²	semidirect
47. C₃×#547	C₂²	semidirect
48. C₃×#547	C₂²	semidirect
49. C₃×#547	C₂²	semidirect
50. C₃×#546	C₂²	semidirect
51. C₃×#546	C₂²	semidirect
52. C₃×#546	C₂²	semidirect
53. C₃×#546	C₂²	semidirect
54. C₃×#546	C₂²	semidirect
55. C₃×#546	C₂²	semidirect
56. C₃×#546	C₂²	semidirect
57. C₃×#546	C₂²	semidirect
58. C₃×#546	C₂²	semidirect
59. C₃×D₄²	C₂²	semidirect
60. C₃×D₄²	C₂²	semidirect
61. C₃×D₄²	C₂²	semidirect
62. C₃×D₄²	C₂²	semidirect
63. C₃×D₄²	C₂²	semidirect
64. C₃×#544	C₂²	semidirect
65. C₃×#543	C₂²	semidirect
66. C₃×#542	C₂²	semidirect
67. C₃×#542	C₂²	semidirect
68. C₃×#542	C₂²	semidirect
69. C₃×#540	C₂²	semidirect
70. C₃×#540	C₂²	semidirect
71. C₃×#539	C₂²	semidirect
72. C₃×#539	C₂²	semidirect
73. C₃×#538	C₂²	semidirect
74. C₃×#538	C₂²	semidirect
75. C₃×#538	C₂²	semidirect
76. C₃×#537	C₂²	semidirect
77. C₃×#537	C₂²	semidirect
78. C₃×#537	C₂²	semidirect
79. C₃×#537	C₂²	semidirect
80. C₃×#537	C₂²	semidirect
81. C₃×#537	C₂²	semidirect
82. C₃×#537	C₂²	semidirect
83. C₃×#537	C₂²	semidirect
84. C₃×#537	C₂²	semidirect
85. C₃×#537	C₂²	semidirect
86. C₃×#535	C₂²	semidirect
87. C₃×#535	C₂²	semidirect
88. C₃×#535	C₂²	semidirect
89. C₃×#535	C₂²	semidirect
90. C₃×#534	C₂²	semidirect
91. C₃×#534	C₂²	semidirect
92. C₃×#533	C₂²	semidirect
93. C₃×#532	C₂²	semidirect
94. C₃×#532	C₂²	semidirect
95. C₃×#532	C₂²	semidirect
96. C₃×#532	C₂²	semidirect
97. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
98. C₃×#529	C₂²	semidirect
99. C₃×#525	C₂²	semidirect
100. C₃×#525	C₂²	semidirect
101. C₃×#525	C₂²	semidirect
102. C₃×#525	C₂²	semidirect
103. C₃×#525	C₂²	semidirect
104. C₂×C₃×#123	C₂²	semidirect
105. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
106. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
107. C₂×C₃×#121	C₂²	semidirect
108. C₂×C₃×#121	C₂²	semidirect
109. C₂×C₃×#121	C₂²	semidirect
110. C₂×C₃×#121	C₂²	semidirect
111. C₂×C₃×#121	C₂²	semidirect
112. C₃×#520	C₂²	semidirect
113. C₃×#520	C₂²	semidirect
114. C₃×C₄×#41	C₂²	semidirect
115. C₂×C₃×C₄×D₄	C₂²	semidirect
116. C₂×C₃×C₄×D₄	C₂²	semidirect
117. C₂×C₃×C₄×D₄	C₂²	semidirect
118. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
119. #3548	C₂×C₃	semidirect
120. #3546	C₂×C₃	semidirect
121. #3542	C₂×C₃	semidirect
122. #3536	C₂×C₃	semidirect
123. #3536	C₂×C₃	semidirect
124. #3534	C₂×C₃	semidirect
125. #3520	C₂×C₃	semidirect
126. #3511	C₂×C₃	semidirect
127. #3496	C₂×C₃	semidirect
128. #3496	C₂×C₃	semidirect
129. #3492	C₂×C₃	semidirect
130. #3488	C₂×C₃	semidirect
131. #3488	C₂×C₃	semidirect
132. D₄×#41	C₂×C₃	semidirect
133. C₂×#547	C₂×C₃	semidirect
134. #3460	C₂×C₃	semidirect
135. C₂×#537	C₂×C₃	semidirect
320. C₂×H(5,𝔽₂)	C₂²×C₃	semidirect
321. C₂×H(5,𝔽₂)	C₂²×C₃	semidirect
322. C₂²×#41	C₂²×C₃	semidirect
323. C₂²×#41	C₂²×C₃	semidirect
324. #562	C₂²×C₃	semidirect
325. #562	C₂²×C₃	semidirect
326. #560	C₂²×C₃	semidirect
327. #556	C₂²×C₃	semidirect
328. #555	C₂²×C₃	semidirect
329. #554	C₂²×C₃	semidirect
330. #554	C₂²×C₃	semidirect
331. #554	C₂²×C₃	semidirect
332. #553	C₂²×C₃	semidirect
333. #553	C₂²×C₃	semidirect
334. #552	C₂²×C₃	semidirect
335. #551	C₂²×C₃	semidirect
336. #550	C₂²×C₃	semidirect
337. #550	C₂²×C₃	semidirect
338. #550	C₂²×C₃	semidirect
339. D₄×Q₈	C₂²×C₃	semidirect
340. #548	C₂²×C₃	semidirect
341. #548	C₂²×C₃	semidirect
342. #548	C₂²×C₃	semidirect
343. #547	C₂²×C₃	semidirect
344. #547	C₂²×C₃	semidirect
345. #547	C₂²×C₃	semidirect
346. #547	C₂²×C₃	semidirect
347. #547	C₂²×C₃	semidirect
348. #547	C₂²×C₃	semidirect
349. #547	C₂²×C₃	semidirect
350. #547	C₂²×C₃	semidirect
351. #546	C₂²×C₃	semidirect
352. #546	C₂²×C₃	semidirect
353. #546	C₂²×C₃	semidirect
354. #546	C₂²×C₃	semidirect
355. #546	C₂²×C₃	semidirect
356. #546	C₂²×C₃	semidirect
357. #546	C₂²×C₃	semidirect
358. #546	C₂²×C₃	semidirect
359. #546	C₂²×C₃	semidirect
360. D₄²	C₂²×C₃	semidirect
361. D₄²	C₂²×C₃	semidirect
362. D₄²	C₂²×C₃	semidirect
363. D₄²	C₂²×C₃	semidirect
364. D₄²	C₂²×C₃	semidirect
365. #544	C₂²×C₃	semidirect
366. #543	C₂²×C₃	semidirect
367. #542	C₂²×C₃	semidirect
368. #542	C₂²×C₃	semidirect
369. #542	C₂²×C₃	semidirect
370. #540	C₂²×C₃	semidirect
371. #540	C₂²×C₃	semidirect
372. #539	C₂²×C₃	semidirect
373. #539	C₂²×C₃	semidirect
374. #538	C₂²×C₃	semidirect
375. #538	C₂²×C₃	semidirect
376. #538	C₂²×C₃	semidirect
377. #537	C₂²×C₃	semidirect
378. #537	C₂²×C₃	semidirect
379. #537	C₂²×C₃	semidirect
380. #537	C₂²×C₃	semidirect
381. #537	C₂²×C₃	semidirect
382. #537	C₂²×C₃	semidirect
383. #537	C₂²×C₃	semidirect
384. #537	C₂²×C₃	semidirect
385. #537	C₂²×C₃	semidirect
386. #537	C₂²×C₃	semidirect
387. #535	C₂²×C₃	semidirect
388. #535	C₂²×C₃	semidirect
389. #535	C₂²×C₃	semidirect
390. #535	C₂²×C₃	semidirect
391. #534	C₂²×C₃	semidirect
392. #534	C₂²×C₃	semidirect
393. #533	C₂²×C₃	semidirect
394. #532	C₂²×C₃	semidirect
395. #532	C₂²×C₃	semidirect
396. #532	C₂²×C₃	semidirect
397. #532	C₂²×C₃	semidirect
398. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
399. #529	C₂²×C₃	semidirect
400. #525	C₂²×C₃	semidirect
401. #525	C₂²×C₃	semidirect
402. #525	C₂²×C₃	semidirect
403. #525	C₂²×C₃	semidirect
404. #525	C₂²×C₃	semidirect
405. C₂×#123	C₂²×C₃	semidirect
406. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
407. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
408. C₂×#121	C₂²×C₃	semidirect
409. C₂×#121	C₂²×C₃	semidirect
410. C₂×#121	C₂²×C₃	semidirect
411. C₂×#121	C₂²×C₃	semidirect
412. C₂×#121	C₂²×C₃	semidirect
413. #520	C₂²×C₃	semidirect
414. #520	C₂²×C₃	semidirect
415. C₄×#41	C₂²×C₃	semidirect
416. C₂×C₄×D₄	C₂²×C₃	semidirect
417. C₂×C₄×D₄	C₂²×C₃	semidirect
418. C₂×C₄×D₄	C₂²×C₃	semidirect
419. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
780. C₃×D₄	H(5,𝔽₂)	semidirect
801. C₂×C₃×C₄	H(5,𝔽₂)	semidirect
1023. D₄	C₃×H(5,𝔽₂)	semidirect
1044. C₂×C₄	C₃×H(5,𝔽₂)	semidirect
1099. C₃	#62914	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×#3548	2
C₃×#3546	2
C₃×#3542	2
C₃×#3536	2
C₃×#3534	2
C₃×#3520	2
C₃×#3511	2
C₃×#3496	2
C₃×#3492	2
C₃×#3488	2
C₃×D₄×#41	2
C₂×C₃×#547	2
C₃×#3460	2
C₂×C₃×#537	2
#62914	3

Subgroups — C3×#62914 #10681521

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62914 #10681521