Subgroups — C₇×#10624892 #19100301

Order 5103.

598 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#6900	C₃	1	1	yes	maximal, characteristic, complemented
2	C₇×#6899	C₃	1	2	yes	maximal, complemented
3	C₇×#6899	C₃	1	2	yes	maximal, complemented
4	C₇×#6899	C₃	1	2	yes	maximal, complemented
5	C₇×#6899	C₃	1	2	yes	maximal, complemented
6	C₇×#6898	C₃	1	1	yes	maximal, characteristic, complemented
7	C₇×#6898	C₃	1	2	yes	maximal, complemented
8	C₇×#6897	C₃	1	2	yes	maximal, complemented
9	C₇×#6897	C₃	1	2	yes	maximal, complemented
10	C₇×#6897	C₃	1	2	yes	maximal, complemented
11	C₇×#6896	C₃	1	1	yes	maximal, characteristic, complemented
12	C₇×#6896	C₃	1	2	yes	maximal, complemented
13	C₇×#6896	C₃	1	1	yes	maximal, characteristic, complemented
14	C₇×#6896	C₃	1	2	yes	maximal, complemented
15	C₇×#6895	C₃	1	2	yes	maximal, complemented
16	C₇×#6894	C₃	1	2	yes	maximal, complemented
17	C₇×#6894	C₃	1	2	yes	maximal, complemented
18	C₇×#6894	C₃	1	2	yes	maximal, complemented
19	C₇×#6893	C₃	1	1	yes	maximal, characteristic
20	C₇×C₉⋊H(3,𝔽₃)	C₃	1	2	yes	maximal
21	C₇×C₉⋊H(3,𝔽₃)	C₃	1	1	yes	maximal, characteristic
22	C₇×C₉×3₋¹⁺²	C₃	1	1	yes	maximal, characteristic, complemented
23	C₇×C₉×3₋¹⁺²	C₃	1	2	yes	maximal, complemented
24	C₇×#6887	C₃	1	1	yes	maximal, characteristic, complemented
25	#10624892	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
26	C₃×C₇×3₋¹⁺²	C₃²	1	2	yes	—
27	C₃×C₇×3₋¹⁺²	C₃²	1	1	yes	characteristic
28	C₃×C₇×3₋¹⁺²	C₃²	1	2	yes	—
29	C₃×C₇×3₋¹⁺²	C₃²	1	2	yes	—
30	C₃×C₇×3₋¹⁺²	C₃²	1	2	yes	—
31	C₃×C₇×3₋¹⁺²	C₃²	1	1	yes	characteristic
32	C₃×C₇×3₋¹⁺²	C₃²	1	1	yes	characteristic
33	C₃×C₇×H(3,𝔽₃)	C₃²	1	1	yes	characteristic
34	C₃²×C₇×C₉	C₃²	1	1	yes	characteristic
35	C₃²×C₇×C₉	C₃²	1	2	yes	—
36	C₃²×C₇×C₉	C₃²	1	1	yes	characteristic
37	C₇×C₉⋊C₉	C₃²	1	2	yes	—
38	C₇×C₉⋊C₉	C₃²	1	2	yes	—
39	C₇×C₉⋊C₉	C₃²	1	2	yes	—
40	C₇×C₉⋊C₉	C₃²	1	2	yes	—
41	C₇×C₉⋊C₉	C₃²	1	2	yes	—
42	C₇×C₉⋊C₉	C₃²	1	2	yes	—
43	C₇×C₉⋊C₉	C₃²	1	2	yes	—
44	C₇×C₉⋊C₉	C₃²	1	2	yes	—
45	C₇×C₉⋊C₉	C₃²	1	2	yes	—
46	C₇×C₉⋊C₉	C₃²	1	2	yes	—
47	C₇×C₉⋊C₉	C₃²	1	2	yes	—
48	C₇×C₉⋊C₉	C₃²	1	2	yes	—
49	C₇×C₉⋊C₉	C₃²	1	2	yes	—
50	C₇×C₉⋊C₉	C₃²	1	2	yes	—
51	C₇×C₉⋊C₉	C₃²	1	2	yes	—
52	C₇×C₉⋊C₉	C₃²	1	1	yes	characteristic
53	C₇×C₉⋊C₉	C₃²	1	2	yes	—
54	C₇×C₉⋊C₉	C₃²	1	2	yes	—
55	C₇×C₉⋊C₉	C₃²	1	2	yes	—
56	C₇×C₉⋊C₉	C₃²	1	2	yes	—
57	C₇×C₉⋊C₉	C₃²	1	2	yes	—
58	C₇×C₉⋊C₉	C₃²	1	2	yes	—
59	C₇×C₉⋊C₉	C₃²	1	2	yes	—
60	C₇×C₉⋊C₉	C₃²	1	2	yes	—
61	C₇×C₉⋊C₉	C₃²	1	2	yes	—
62	C₇×C₉⋊C₉	C₃²	1	1	yes	characteristic
63	C₇×C₉⋊C₉	C₃²	1	2	yes	—
64	C₇×C₉⋊C₉	C₃²	1	2	yes	—
65	C₇×C₉⋊C₉	C₃²	1	1	yes	characteristic
66	C₇×C₉⋊C₉	C₃²	1	2	yes	—
67	C₇×C₉⋊C₉	C₃²	1	2	yes	—
68	C₇×C₉⋊C₉	C₃²	1	2	yes	—
69	C₇×C₉⋊C₉	C₃²	1	2	yes	—
70	C₇×C₉⋊C₉	C₃²	1	2	yes	—
71	C₇×C₉⋊C₉	C₃²	1	2	yes	—
72	C₇×C₉⋊C₉	C₃²	1	2	yes	—
73	C₇×C₉⋊C₉	C₃²	1	2	yes	—
74	C₇×C₉⋊C₉	C₃²	1	1	yes	characteristic
75	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
76	C₇×C₃²⋊C₉	C₃²	1	1	yes	characteristic
77	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
78	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
79	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
80	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
81	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
82	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
83	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
84	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
85	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
86	C₇×C₃²⋊C₉	C₃²	1	1	yes	characteristic
87	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
88	C₇×C₃²⋊C₉	C₃²	1	1	yes	characteristic
89	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
90	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
91	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
92	C₇×C₃²⋊C₉	C₃²	1	2	yes	—
93	C₇×C₉²	C₃²	1	1	yes	characteristic
94	C₇×C₉²	C₃²	1	1	yes	characteristic
95	C₇×C₉²	C₃²	1	1	yes	characteristic
96	C₇×C₉²	C₃²	1	2	yes	—
97	C₇×C₉²	C₃²	1	1	yes	characteristic
98	C₇×C₉²	C₃²	1	2	yes	—
99	C₇×C₉²	C₃²	1	1	yes	characteristic
100	#6900	C₃×C₇	1	1	yes	characteristic, complemented
101	#6899	C₃×C₇	1	2	yes	complemented
102	#6899	C₃×C₇	1	2	yes	complemented
103	#6899	C₃×C₇	1	2	yes	complemented
104	#6899	C₃×C₇	1	2	yes	complemented
105	#6898	C₃×C₇	1	1	yes	characteristic, complemented
106	#6898	C₃×C₇	1	2	yes	complemented
107	#6897	C₃×C₇	1	2	yes	complemented
108	#6897	C₃×C₇	1	2	yes	complemented
109	#6897	C₃×C₇	1	2	yes	complemented
110	#6896	C₃×C₇	1	1	yes	characteristic, complemented
111	#6896	C₃×C₇	1	2	yes	complemented
112	#6896	C₃×C₇	1	1	yes	characteristic, complemented
113	#6896	C₃×C₇	1	2	yes	complemented
114	#6895	C₃×C₇	1	2	yes	complemented
115	#6894	C₃×C₇	1	2	yes	complemented
116	#6894	C₃×C₇	1	2	yes	complemented
117	#6894	C₃×C₇	1	2	yes	complemented
118	#6893	C₃×C₇	1	1	yes	characteristic
119	C₉⋊H(3,𝔽₃)	C₃×C₇	1	2	yes	—
120	C₉⋊H(3,𝔽₃)	C₃×C₇	1	1	yes	characteristic
121	C₉×3₋¹⁺²	C₃×C₇	1	1	yes	characteristic, complemented
122	C₉×3₋¹⁺²	C₃×C₇	1	2	yes	complemented
123	#6887	C₃×C₇	1	1	yes	characteristic, complemented
124	C₃³×C₇	C₃³	1	1	yes	characteristic
125	C₃³×C₇	C₃³	1	2	yes	—
126	C₃³×C₇	C₃³	1	1	yes	characteristic
127	C₇×3₋¹⁺²	—	3	6	no	—
128	C₇×3₋¹⁺²	—	3	3	no	—
129	C₇×3₋¹⁺²	—	9	2	no	—
130	C₇×3₋¹⁺²	—	9	2	no	—
131	C₇×3₋¹⁺²	—	9	2	no	—
132	C₇×3₋¹⁺²	—	9	1	no	—
133	C₇×3₋¹⁺²	—	9	1	no	—
134	C₇×H(3,𝔽₃)	—	9	1	no	—
135	C₃×C₇×C₉	—	3	3	no	—
136	C₃×C₇×C₉	—	9	1	no	—
137	C₃×C₇×C₉	—	9	2	no	—
138	C₃×C₇×C₉	C₃³	1	2	yes	—
139	C₃×C₇×C₉	C₃³	1	1	yes	characteristic
140	C₃×C₇×C₉	C₃³	1	2	yes	—
141	C₃×C₇×C₉	C₃³	1	1	yes	characteristic
142	C₃×C₇×C₉	C₃³	1	2	yes	—
143	C₃×C₇×C₉	C₃³	1	1	yes	characteristic
144	C₃×C₇×C₉	C₃³	1	2	yes	—
145	C₃×C₇×C₉	C₃³	1	1	yes	characteristic
146	C₃×C₇×C₉	C₃³	1	2	yes	—
147	C₃×C₇×C₉	C₃³	1	1	yes	characteristic
148	C₃×C₇×C₉	C₃³	1	2	yes	—
149	C₃×C₇×C₉	C₃³	1	2	yes	—
150	C₃×C₇×C₉	C₃³	1	2	yes	—
151	C₃×C₇×C₉	C₃³	1	2	yes	—
152	C₃×C₇×C₉	C₃³	1	2	yes	—
153	C₃×C₇×C₉	C₃³	1	2	yes	—
154	C₃×C₇×C₉	C₃³	1	2	yes	—
155	C₃×C₇×C₉	C₃³	1	2	yes	—
156	C₃×C₇×C₉	C₃³	1	2	yes	—
157	C₃×C₇×C₉	C₃³	1	2	yes	—
158	C₃×C₇×C₉	C₃³	1	1	yes	characteristic
159	C₃×3₋¹⁺²	C₃²×C₇	1	2	yes	—
160	C₃×3₋¹⁺²	C₃²×C₇	1	1	yes	characteristic
161	C₃×3₋¹⁺²	C₃²×C₇	1	2	yes	—
162	C₃×3₋¹⁺²	C₃²×C₇	1	2	yes	—
163	C₃×3₋¹⁺²	C₃²×C₇	1	2	yes	—
164	C₃×3₋¹⁺²	C₃²×C₇	1	1	yes	characteristic
165	C₃×3₋¹⁺²	C₃²×C₇	1	1	yes	characteristic
166	C₃×H(3,𝔽₃)	C₃²×C₇	1	1	yes	characteristic
167	C₃²×C₉	C₃²×C₇	1	1	yes	characteristic
168	C₃²×C₉	C₃²×C₇	1	2	yes	—
169	C₃²×C₉	C₃²×C₇	1	1	yes	characteristic
170	C₉⋊C₉	C₃²×C₇	1	2	yes	—
171	C₉⋊C₉	C₃²×C₇	1	2	yes	—
172	C₉⋊C₉	C₃²×C₇	1	2	yes	—
173	C₉⋊C₉	C₃²×C₇	1	2	yes	—
174	C₉⋊C₉	C₃²×C₇	1	2	yes	—
175	C₉⋊C₉	C₃²×C₇	1	2	yes	—
176	C₉⋊C₉	C₃²×C₇	1	2	yes	—
177	C₉⋊C₉	C₃²×C₇	1	2	yes	—
178	C₉⋊C₉	C₃²×C₇	1	2	yes	—
179	C₉⋊C₉	C₃²×C₇	1	2	yes	—
180	C₉⋊C₉	C₃²×C₇	1	2	yes	—
181	C₉⋊C₉	C₃²×C₇	1	2	yes	—
182	C₉⋊C₉	C₃²×C₇	1	2	yes	—
183	C₉⋊C₉	C₃²×C₇	1	2	yes	—
184	C₉⋊C₉	C₃²×C₇	1	2	yes	—
185	C₉⋊C₉	C₃²×C₇	1	1	yes	characteristic
186	C₉⋊C₉	C₃²×C₇	1	2	yes	—
187	C₉⋊C₉	C₃²×C₇	1	2	yes	—
188	C₉⋊C₉	C₃²×C₇	1	2	yes	—
189	C₉⋊C₉	C₃²×C₇	1	2	yes	—
190	C₉⋊C₉	C₃²×C₇	1	2	yes	—
191	C₉⋊C₉	C₃²×C₇	1	2	yes	—
192	C₉⋊C₉	C₃²×C₇	1	2	yes	—
193	C₉⋊C₉	C₃²×C₇	1	2	yes	—
194	C₉⋊C₉	C₃²×C₇	1	2	yes	—
195	C₉⋊C₉	C₃²×C₇	1	1	yes	characteristic
196	C₉⋊C₉	C₃²×C₇	1	2	yes	—
197	C₉⋊C₉	C₃²×C₇	1	2	yes	—
198	C₉⋊C₉	C₃²×C₇	1	1	yes	characteristic
199	C₉⋊C₉	C₃²×C₇	1	2	yes	—
200	C₉⋊C₉	C₃²×C₇	1	2	yes	—
201	C₉⋊C₉	C₃²×C₇	1	2	yes	—
202	C₉⋊C₉	C₃²×C₇	1	2	yes	—
203	C₉⋊C₉	C₃²×C₇	1	2	yes	—
204	C₉⋊C₉	C₃²×C₇	1	2	yes	—
205	C₉⋊C₉	C₃²×C₇	1	2	yes	—
206	C₉⋊C₉	C₃²×C₇	1	2	yes	—
207	C₉⋊C₉	C₃²×C₇	1	1	yes	characteristic
208	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
209	C₃²⋊C₉	C₃²×C₇	1	1	yes	characteristic
210	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
211	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
212	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
213	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
214	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
215	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
216	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
217	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
218	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
219	C₃²⋊C₉	C₃²×C₇	1	1	yes	characteristic
220	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
221	C₃²⋊C₉	C₃²×C₇	1	1	yes	characteristic
222	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
223	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
224	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
225	C₃²⋊C₉	C₃²×C₇	1	2	yes	—
226	C₉²	C₃²×C₇	1	1	yes	characteristic
227	C₉²	C₃²×C₇	1	1	yes	characteristic
228	C₉²	C₃²×C₇	1	1	yes	characteristic
229	C₉²	C₃²×C₇	1	2	yes	—
230	C₉²	C₃²×C₇	1	1	yes	characteristic
231	C₉²	C₃²×C₇	1	2	yes	—
232	C₉²	C₃²×C₇	1	1	yes	characteristic
233	C₃²×C₇	—	3	1	no	—
234	C₃²×C₇	—	3	2	no	—
235	C₃²×C₇	—	3	1	no	—
236	C₃²×C₇	—	3	1	no	—
237	C₃²×C₇	—	3	2	no	—
238	C₃²×C₇	—	3	1	no	—
239	C₃²×C₇	—	3	2	no	—
240	C₃²×C₇	—	3	2	no	—
241	C₃²×C₇	—	3	2	no	—
242	C₃²×C₇	—	3	2	no	—
243	C₃²×C₇	C₃⁴	1	1	yes	characteristic
244	C₇×C₉	—	3	2	no	—
245	C₇×C₉	—	3	2	no	—
246	C₇×C₉	—	3	1	no	—
247	C₇×C₉	—	3	2	no	—
248	C₇×C₉	—	3	1	no	—
249	C₇×C₉	—	3	1	no	—
250	C₇×C₉	—	3	2	no	—
251	C₇×C₉	—	3	2	no	—
252	C₇×C₉	—	3	2	no	—
253	C₇×C₉	—	3	2	no	—
254	C₇×C₉	—	3	1	no	—
255	C₇×C₉	—	3	1	no	—
256	C₇×C₉	—	3	2	no	—
257	C₇×C₉	—	3	2	no	—
258	C₇×C₉	—	3	2	no	—
259	C₇×C₉	—	3	2	no	—
260	C₇×C₉	—	3	2	no	—
261	C₇×C₉	—	3	2	no	—
262	C₇×C₉	—	3	2	no	—
263	C₇×C₉	—	3	2	no	—
264	C₇×C₉	#737	1	3	yes	—
265	C₃³	C₃³×C₇	1	1	yes	characteristic
266	C₃³	C₃³×C₇	1	2	yes	—
267	C₃³	C₃³×C₇	1	1	yes	characteristic
268	3₋¹⁺²	—	3	6	no	—
269	3₋¹⁺²	—	3	3	no	—
270	3₋¹⁺²	—	9	2	no	—
271	3₋¹⁺²	—	9	2	no	—
272	3₋¹⁺²	—	9	2	no	—
273	3₋¹⁺²	—	9	1	no	—
274	3₋¹⁺²	—	9	1	no	—
275	H(3,𝔽₃)	—	9	1	no	—
276	C₃×C₉	—	3	3	no	—
277	C₃×C₉	—	9	1	no	—
278	C₃×C₉	—	9	2	no	—
279	C₃×C₉	C₃³×C₇	1	2	yes	—
280	C₃×C₉	C₃³×C₇	1	1	yes	characteristic
281	C₃×C₉	C₃³×C₇	1	2	yes	—
282	C₃×C₉	C₃³×C₇	1	1	yes	characteristic
283	C₃×C₉	C₃³×C₇	1	2	yes	—
284	C₃×C₉	C₃³×C₇	1	1	yes	characteristic
285	C₃×C₉	C₃³×C₇	1	2	yes	—
286	C₃×C₉	C₃³×C₇	1	1	yes	characteristic
287	C₃×C₉	C₃³×C₇	1	2	yes	—
288	C₃×C₉	C₃³×C₇	1	1	yes	characteristic
289	C₃×C₉	C₃³×C₇	1	2	yes	—
290	C₃×C₉	C₃³×C₇	1	2	yes	—
291	C₃×C₉	C₃³×C₇	1	2	yes	—
292	C₃×C₉	C₃³×C₇	1	2	yes	—
293	C₃×C₉	C₃³×C₇	1	2	yes	—
294	C₃×C₉	C₃³×C₇	1	2	yes	—
295	C₃×C₉	C₃³×C₇	1	2	yes	—
296	C₃×C₉	C₃³×C₇	1	2	yes	—
297	C₃×C₉	C₃³×C₇	1	2	yes	—
298	C₃×C₉	C₃³×C₇	1	2	yes	—
299	C₃×C₉	C₃³×C₇	1	1	yes	characteristic
300	C₃×C₇	—	9	1	no	—
301	C₃×C₇	—	9	1	no	—
302	C₃×C₇	—	9	2	no	—
303	C₃×C₇	C₃×#737	1	1	yes	characteristic
304	C₃×C₇	3₋¹⁺⁴	1	1	yes	characteristic
305	C₃×C₇	3₋¹⁺⁴	1	2	yes	—
306	C₃²	—	3	1	no	—
307	C₃²	—	3	2	no	—
308	C₃²	—	3	1	no	—
309	C₃²	—	3	1	no	—
310	C₃²	—	3	2	no	—
311	C₃²	—	3	1	no	—
312	C₃²	—	3	2	no	—
313	C₃²	—	3	2	no	—
314	C₃²	—	3	2	no	—
315	C₃²	—	3	2	no	—
316	C₃²	C₃⁴×C₇	1	1	yes	characteristic
317	C₉	—	3	2	no	—
318	C₉	—	3	2	no	—
319	C₉	—	3	1	no	—
320	C₉	—	3	2	no	—
321	C₉	—	3	1	no	—
322	C₉	—	3	1	no	—
323	C₉	—	3	2	no	—
324	C₉	—	3	2	no	—
325	C₉	—	3	2	no	—
326	C₉	—	3	2	no	—
327	C₉	—	3	1	no	—
328	C₉	—	3	1	no	—
329	C₉	—	3	2	no	—
330	C₉	—	3	2	no	—
331	C₉	—	3	2	no	—
332	C₉	—	3	2	no	—
333	C₉	—	3	2	no	—
334	C₉	—	3	2	no	—
335	C₉	—	3	2	no	—
336	C₉	—	3	2	no	—
337	C₉	C₇×#737	1	3	yes	—
338	C₇	#10624892	1	1	yes	characteristic, direct product factor, Sylow
339	C₃	—	9	1	no	—
340	C₃	—	9	1	no	—
341	C₃	—	9	2	no	—
342	C₃	C₃×C₇×#737	1	1	yes	characteristic
343	C₃	C₇×3₋¹⁺⁴	1	1	yes	characteristic
344	C₃	C₇×3₋¹⁺⁴	1	2	yes	—

	subgroup	G/H
center, socle	C₃²×C₇	C₃⁴
commutator, Frattini	C₃²	C₃⁴×C₇
LCS	G ▷ C₃² ▷ C₁
UCS	C₁ ◁ C₃²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#6900	C₃	semidirect
2. C₇×#6899	C₃	semidirect
3. C₇×#6899	C₃	semidirect
4. C₇×#6899	C₃	semidirect
5. C₇×#6899	C₃	semidirect
6. C₇×#6898	C₃	semidirect
7. C₇×#6898	C₃	semidirect
8. C₇×#6897	C₃	semidirect
9. C₇×#6897	C₃	semidirect
10. C₇×#6897	C₃	semidirect
11. C₇×#6896	C₃	semidirect
12. C₇×#6896	C₃	semidirect
13. C₇×#6896	C₃	semidirect
14. C₇×#6896	C₃	semidirect
15. C₇×#6895	C₃	semidirect
16. C₇×#6894	C₃	semidirect
17. C₇×#6894	C₃	semidirect
18. C₇×#6894	C₃	semidirect
22. C₇×C₉×3₋¹⁺²	C₃	semidirect
23. C₇×C₉×3₋¹⁺²	C₃	semidirect
24. C₇×#6887	C₃	semidirect
25. #10624892	C₇	direct (N × H)
100. #6900	C₃×C₇	semidirect
101. #6899	C₃×C₇	semidirect
102. #6899	C₃×C₇	semidirect
103. #6899	C₃×C₇	semidirect
104. #6899	C₃×C₇	semidirect
105. #6898	C₃×C₇	semidirect
106. #6898	C₃×C₇	semidirect
107. #6897	C₃×C₇	semidirect
108. #6897	C₃×C₇	semidirect
109. #6897	C₃×C₇	semidirect
110. #6896	C₃×C₇	semidirect
111. #6896	C₃×C₇	semidirect
112. #6896	C₃×C₇	semidirect
113. #6896	C₃×C₇	semidirect
114. #6895	C₃×C₇	semidirect
115. #6894	C₃×C₇	semidirect
116. #6894	C₃×C₇	semidirect
117. #6894	C₃×C₇	semidirect
121. C₉×3₋¹⁺²	C₃×C₇	semidirect
122. C₉×3₋¹⁺²	C₃×C₇	semidirect
123. #6887	C₃×C₇	semidirect
338. C₇	#10624892	direct (N × H)

Subgroups — C7×#10624892 #19100301

Conjugacy classes of subgroups

Complements

Subgroups — C₇×#10624892 #19100301