Subgroups — C₂₉×#22497 #20317397

Order 7424.

1174 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₉×#554	C₂	1	1	yes	maximal, characteristic
2	C₂×C₂₉×#435	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#2352	C₂	1	1	yes	maximal, characteristic
4	C₂₉×#1993	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#1988	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#1894	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#1892	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#1873	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#1872	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#1824	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#1823	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#1805	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#1763	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#1736	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₂₉×#340	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×M₁₆×C₂₉	C₂²	1	1	yes	characteristic
17	C₂³×C₈×C₂₉	C₂²	1	1	yes	characteristic
18	C₂₉×#554	—	2	4	no	—
19	C₂₉×#554	C₄	1	8	yes	complemented
20	C₂×C₂₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
21	C₂×C₂₉×#125	—	2	1	no	—
22	C₂×C₂₉×C₂²⋊Q₈	—	2	1	no	—
23	C₂×C₂₉×C₂²⋊Q₈	—	2	1	no	—
24	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
27	C₂×C₄×D₄×C₂₉	—	2	1	no	—
28	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
29	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
30	C₂²×C₄⋊C₄×C₂₉	C₂²	1	1	yes	characteristic
31	C₂²×C₄⋊C₄×C₂₉	C₂²	1	1	yes	characteristic
32	C₂²×C₄⋊C₄×C₂₉	C₂²	1	1	yes	characteristic
33	C₂₉×#435	—	2	4	no	—
34	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
35	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
36	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
37	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
38	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
39	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
40	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
41	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic
42	C₂₉×#388	—	2	1	no	—
43	C₂₉×#387	—	2	1	no	—
44	C₂₉×#386	—	2	1	no	—
45	C₂₉×#382	C₂²	1	1	yes	characteristic
46	C₂₉×#380	C₂²	1	1	yes	characteristic
47	C₂₉×#380	C₂²	1	1	yes	characteristic
48	C₄×C₄⋊C₄×C₂₉	C₂²	1	1	yes	characteristic
49	C₄×C₂²⋊C₄×C₂₉	—	2	1	no	—
50	C₂₉×#340	C₂²	1	1	yes	characteristic
51	C₂₉×#340	C₂²	1	1	yes	characteristic
52	C₂₉×#340	C₂²	1	1	yes	characteristic
53	C₂₉×#340	C₂²	1	1	yes	characteristic
54	C₂₉×#340	C₂²	1	1	yes	characteristic
55	C₂₉×#340	C₂²	1	1	yes	characteristic
56	C₂₉×#340	C₂²	1	1	yes	characteristic
57	C₂₉×#340	C₂²	1	1	yes	characteristic
58	C₂₉×#340	C₂²	1	1	yes	characteristic
59	C₂₉×#340	C₂²	1	1	yes	characteristic
60	C₂₉×#340	C₂²	1	1	yes	characteristic
61	C₂₉×#340	C₂²	1	1	yes	characteristic
62	C₂²×Q₈×C₂₉	—	2	1	no	—
63	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
64	C₂²×D₄×C₂₉	D₄	1	1	yes	characteristic
65	C₂³×C₄×C₂₉	—	2	1	no	—
66	C₂³×C₄×C₂₉	—	2	1	no	—
67	C₂³×C₄×C₂₉	—	2	1	no	—
68	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
69	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
70	C₂×M₁₆×C₂₉	—	2	2	no	—
71	C₂×M₁₆×C₂₉	—	2	2	no	—
72	C₂×M₁₆×C₂₉	—	4	1	no	—
73	C₂²×C₈×C₂₉	—	2	2	no	—
74	C₂²×C₈×C₂₉	—	2	2	no	—
75	C₂²×C₈×C₂₉	—	4	1	no	—
76	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
78	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
79	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
80	C₂₉×C₄⋊Q₈	—	2	2	no	—
81	C₂₉×C₄⋊Q₈	C₂×C₄	1	4	yes	complemented
82	C₂₉×#125	—	2	8	no	—
83	C₂₉×C₂²⋊Q₈	—	2	2	no	—
84	C₂₉×C₂²⋊Q₈	—	2	2	no	—
85	C₂₉×C₂²⋊Q₈	—	2	8	no	—
86	C₂₉×C₂²⋊Q₈	—	2	8	no	—
87	C₂₉×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
88	C₂₉×C₂²⋊Q₈	C₂×C₄	1	4	yes	complemented
89	C₄×Q₈×C₂₉	—	2	2	no	—
90	C₄×Q₈×C₂₉	C₂×C₄	1	4	yes	complemented
91	C₄×D₄×C₂₉	—	2	8	no	—
92	C₄×D₄×C₂₉	C₂×C₄	1	4	yes	—
93	C₄×D₄×C₂₉	D₄	1	4	yes	—
94	C₂₉×#117	—	2	2	no	—
95	C₂₉×#117	—	4	1	no	—
96	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
97	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
98	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
99	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
100	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
101	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
102	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
103	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
104	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
105	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
106	C₂×C₄⋊C₄×C₂₉	—	4	1	no	—
107	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	4	yes	—
108	C₂×C₄⋊C₄×C₂₉	C₂×C₄	1	4	yes	complemented
109	C₂×C₄⋊C₄×C₂₉	D₄	1	1	yes	characteristic
110	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
111	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
112	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
113	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
114	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
115	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
116	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
117	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
118	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
120	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
121	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
122	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
123	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
124	C₂×C₄²×C₂₉	—	2	1	no	—
125	C₂×C₄²×C₂₉	—	2	1	no	—
126	C₂×C₄²×C₂₉	—	2	1	no	—
127	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
128	C₂₉×C₄⋊C₈	—	2	2	no	—
129	C₂₉×#103	—	2	2	no	—
130	C₂₉×#103	—	2	2	no	—
131	C₂₉×#103	—	4	1	no	—
132	C₂₉×#103	—	4	1	no	—
133	C₂₉×C₂²⋊C₈	—	2	2	no	—
134	C₂₉×C₂²⋊C₈	—	2	2	no	—
135	C₂₉×#97	—	2	2	no	—
136	C₂₉×#95	—	2	1	no	—
137	C₂₉×#95	—	2	1	no	—
138	C₂₉×#95	—	2	1	no	—
139	C₂₉×#95	—	2	1	no	—
140	C₂₉×#95	—	2	1	no	—
141	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
142	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
143	C₂×Q₈×C₂₉	—	2	4	no	—
144	C₂×Q₈×C₂₉	—	2	1	no	—
145	C₂×Q₈×C₂₉	—	2	1	no	—
146	C₂×Q₈×C₂₉	—	2	1	no	—
147	C₂×Q₈×C₂₉	—	2	1	no	—
148	C₂×Q₈×C₂₉	—	2	1	no	—
149	C₂×Q₈×C₂₉	—	8	1	no	—
150	C₂×Q₈×C₂₉	—	8	1	no	—
151	C₂×Q₈×C₂₉	C₂²×C₄	1	2	yes	—
152	C₂×D₄×C₂₉	—	2	2	no	—
153	C₂×D₄×C₂₉	—	2	2	no	—
154	C₂×D₄×C₂₉	C₂²⋊C₄	1	4	yes	—
155	C₂²×C₄×C₂₉	—	2	1	no	—
156	C₂²×C₄×C₂₉	—	2	1	no	—
157	C₂²×C₄×C₂₉	—	2	1	no	—
158	C₂²×C₄×C₂₉	—	2	1	no	—
159	C₂²×C₄×C₂₉	—	2	1	no	—
160	C₂²×C₄×C₂₉	—	2	1	no	—
161	C₂²×C₄×C₂₉	—	2	1	no	—
162	C₂²×C₄×C₂₉	—	2	1	no	—
163	C₂²×C₄×C₂₉	—	2	1	no	—
164	C₂²×C₄×C₂₉	—	2	1	no	—
165	C₂²×C₄×C₂₉	—	2	1	no	—
166	C₂²×C₄×C₂₉	—	2	1	no	—
167	C₂²×C₄×C₂₉	—	2	1	no	—
168	C₂²×C₄×C₂₉	—	2	4	no	—
169	C₂²×C₄×C₂₉	—	2	4	no	—
170	C₂²×C₄×C₂₉	—	2	1	no	—
171	C₂²×C₄×C₂₉	—	2	1	no	—
172	C₂²×C₄×C₂₉	—	2	1	no	—
173	C₂²×C₄×C₂₉	—	4	2	no	—
174	C₂²×C₄×C₂₉	—	4	2	no	—
175	C₂²×C₄×C₂₉	—	8	1	no	—
176	C₂²×C₄×C₂₉	—	8	1	no	—
177	C₂²×C₄×C₂₉	—	8	1	no	—
178	C₂²×C₄×C₂₉	—	8	1	no	—
179	C₂²×C₄×C₂₉	—	8	1	no	—
180	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
181	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
182	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
183	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
184	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
185	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
186	C₂²×C₄×C₂₉	C₂×D₄	1	2	yes	—
187	C₂²×C₄×C₂₉	C₂×D₄	1	2	yes	—
188	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
189	M₁₆×C₂₉	—	4	4	no	—
190	C₂×C₈×C₂₉	—	2	1	no	—
191	C₂×C₈×C₂₉	—	2	1	no	—
192	C₂×C₈×C₂₉	—	2	1	no	—
193	C₂×C₈×C₂₉	—	2	1	no	—
194	C₂×C₈×C₂₉	—	2	1	no	—
195	C₂×C₈×C₂₉	—	2	1	no	—
196	C₂×C₈×C₂₉	—	2	1	no	—
197	C₂×C₈×C₂₉	—	2	1	no	—
198	C₂×C₈×C₂₉	—	2	1	no	—
199	C₂×C₈×C₂₉	—	2	1	no	—
200	C₂×C₈×C₂₉	—	2	1	no	—
201	C₂×C₈×C₂₉	—	4	4	no	—
202	C₂×C₈×C₂₉	#41	1	2	yes	—
203	C₄⋊C₄×C₂₉	—	2	4	no	—
204	C₄⋊C₄×C₂₉	—	2	4	no	—
205	C₄⋊C₄×C₂₉	—	2	4	no	—
206	C₄⋊C₄×C₂₉	—	2	4	no	—
207	C₄⋊C₄×C₂₉	—	2	4	no	—
208	C₄⋊C₄×C₂₉	—	2	4	no	—
209	C₄⋊C₄×C₂₉	—	2	1	no	—
210	C₄⋊C₄×C₂₉	—	2	1	no	—
211	C₄⋊C₄×C₂₉	—	2	1	no	—
212	C₄⋊C₄×C₂₉	—	2	1	no	—
213	C₄⋊C₄×C₂₉	—	2	1	no	—
214	C₄⋊C₄×C₂₉	—	2	1	no	—
215	C₄⋊C₄×C₂₉	—	2	1	no	—
216	C₄⋊C₄×C₂₉	—	2	1	no	—
217	C₄⋊C₄×C₂₉	—	2	1	no	—
218	C₄⋊C₄×C₂₉	—	2	1	no	—
219	C₄⋊C₄×C₂₉	—	4	2	no	—
220	C₄⋊C₄×C₂₉	C₂²⋊C₄	1	4	yes	—
221	C₄⋊C₄×C₂₉	C₂²×C₄	1	2	yes	—
222	C₄⋊C₄×C₂₉	C₂²×C₄	1	2	yes	—
223	C₄⋊C₄×C₂₉	C₂²×C₄	1	2	yes	—
224	C₄⋊C₄×C₂₉	#41	1	2	yes	—
225	C₂²⋊C₄×C₂₉	—	2	4	no	—
226	C₂²⋊C₄×C₂₉	—	2	4	no	—
227	C₂²⋊C₄×C₂₉	—	4	2	no	—
228	C₂²⋊C₄×C₂₉	—	4	2	no	—
229	C₂²⋊C₄×C₂₉	—	8	1	no	—
230	C₂²⋊C₄×C₂₉	C₂²⋊C₄	1	4	yes	—
231	C₂²⋊C₄×C₂₉	C₂²⋊C₄	1	4	yes	—
232	C₄²×C₂₉	—	2	4	no	—
233	C₄²×C₂₉	—	4	2	no	—
234	C₄²×C₂₉	—	8	1	no	—
235	C₄²×C₂₉	C₂²×C₄	1	2	yes	—
236	C₄²×C₂₉	C₂×D₄	1	2	yes	—
237	#22497	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
238	C₂³×C₂₉	—	2	1	no	—
239	C₂³×C₂₉	—	2	1	no	—
240	C₂³×C₂₉	—	2	1	no	—
241	C₂³×C₂₉	—	2	1	no	—
242	C₂³×C₂₉	—	2	1	no	—
243	C₂³×C₂₉	—	2	1	no	—
244	C₂³×C₂₉	—	2	1	no	—
245	C₂³×C₂₉	—	2	1	no	—
246	C₂³×C₂₉	—	2	1	no	—
247	C₂³×C₂₉	—	2	1	no	—
248	C₂³×C₂₉	C₂×C₂²⋊C₄	1	2	yes	—
249	C₂³×C₂₉	C₂×C₂²⋊C₄	1	2	yes	—
250	C₂³×C₂₉	#137	1	2	yes	—
251	C₂³×C₂₉	#137	1	2	yes	—
252	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
253	Q₈×C₂₉	—	2	2	no	—
254	Q₈×C₂₉	—	2	2	no	—
255	Q₈×C₂₉	—	4	1	no	—
256	Q₈×C₂₉	—	4	1	no	—
257	Q₈×C₂₉	—	8	4	no	—
258	D₄×C₂₉	—	2	8	no	—
259	C₂×C₄×C₂₉	—	2	1	no	—
260	C₂×C₄×C₂₉	—	2	1	no	—
261	C₂×C₄×C₂₉	—	2	1	no	—
262	C₂×C₄×C₂₉	—	2	1	no	—
263	C₂×C₄×C₂₉	—	2	1	no	—
264	C₂×C₄×C₂₉	—	2	1	no	—
265	C₂×C₄×C₂₉	—	2	1	no	—
266	C₂×C₄×C₂₉	—	2	1	no	—
267	C₂×C₄×C₂₉	—	2	2	no	—
268	C₂×C₄×C₂₉	—	2	2	no	—
269	C₂×C₄×C₂₉	—	2	2	no	—
270	C₂×C₄×C₂₉	—	2	2	no	—
271	C₂×C₄×C₂₉	—	2	2	no	—
272	C₂×C₄×C₂₉	—	2	2	no	—
273	C₂×C₄×C₂₉	—	2	2	no	—
274	C₂×C₄×C₂₉	—	2	2	no	—
275	C₂×C₄×C₂₉	—	2	2	no	—
276	C₂×C₄×C₂₉	—	2	2	no	—
277	C₂×C₄×C₂₉	—	2	2	no	—
278	C₂×C₄×C₂₉	—	2	2	no	—
279	C₂×C₄×C₂₉	—	2	2	no	—
280	C₂×C₄×C₂₉	—	4	1	no	—
281	C₂×C₄×C₂₉	—	4	1	no	—
282	C₂×C₄×C₂₉	—	4	1	no	—
283	C₂×C₄×C₂₉	—	4	1	no	—
284	C₂×C₄×C₂₉	—	4	1	no	—
285	C₂×C₄×C₂₉	—	4	1	no	—
286	C₂×C₄×C₂₉	—	4	1	no	—
287	C₂×C₄×C₂₉	—	4	1	no	—
288	C₂×C₄×C₂₉	—	4	1	no	—
289	C₂×C₄×C₂₉	—	4	1	no	—
290	C₂×C₄×C₂₉	—	4	1	no	—
291	C₂×C₄×C₂₉	—	4	1	no	—
292	C₂×C₄×C₂₉	—	4	1	no	—
293	C₂×C₄×C₂₉	—	4	1	no	—
294	C₂×C₄×C₂₉	—	4	1	no	—
295	C₂×C₄×C₂₉	—	4	1	no	—
296	C₂×C₄×C₂₉	—	4	1	no	—
297	C₂×C₄×C₂₉	—	4	1	no	—
298	C₂×C₄×C₂₉	—	4	1	no	—
299	C₂×C₄×C₂₉	—	8	4	no	—
300	C₂×C₄×C₂₉	—	8	4	no	—
301	C₂×C₄×C₂₉	—	8	4	no	—
302	C₂×C₄×C₂₉	C₂×C₂²⋊C₄	1	2	yes	—
303	C₂×C₄×C₂₉	C₂×C₂²⋊C₄	1	2	yes	—
304	C₂×C₄×C₂₉	C₂×C₂²⋊C₄	1	2	yes	—
305	C₂×C₄×C₂₉	C₂×C₂²⋊C₄	1	2	yes	—
306	C₂×C₄×C₂₉	C₂³×C₄	1	1	yes	characteristic
307	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
308	C₂×C₄×C₂₉	C₂×#41	1	1	yes	characteristic
309	C₂×C₄×C₂₉	C₂×#41	1	1	yes	characteristic
310	C₂×C₄×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
311	C₂×C₄×C₂₉	2₋¹⁺⁴	1	1	yes	characteristic
312	C₈×C₂₉	—	2	2	no	—
313	C₈×C₂₉	—	4	1	no	—
314	C₈×C₂₉	—	4	1	no	—
315	C₈×C₂₉	—	4	1	no	—
316	C₂×#554	C₂×C₂₉	1	1	yes	characteristic
317	C₂×#435	C₂×C₂₉	1	1	yes	characteristic
318	#2352	C₂×C₂₉	1	1	yes	characteristic
319	#1993	C₂×C₂₉	1	1	yes	characteristic, complemented
320	#1988	C₂×C₂₉	1	1	yes	characteristic, complemented
321	#1894	C₂×C₂₉	1	1	yes	characteristic, complemented
322	#1892	C₂×C₂₉	1	1	yes	characteristic, complemented
323	#1873	C₂×C₂₉	1	1	yes	characteristic, complemented
324	#1872	C₂×C₂₉	1	1	yes	characteristic, complemented
325	#1824	C₂×C₂₉	1	1	yes	characteristic, complemented
326	#1823	C₂×C₂₉	1	1	yes	characteristic, complemented
327	#1805	C₂×C₂₉	1	1	yes	characteristic, complemented
328	#1763	C₂×C₂₉	1	1	yes	characteristic, complemented
329	#1736	C₂×C₂₉	1	1	yes	characteristic, complemented
330	C₂×#340	C₂×C₂₉	1	1	yes	characteristic, complemented
331	C₂²×C₂₉	—	2	2	no	—
332	C₂²×C₂₉	—	2	2	no	—
333	C₂²×C₂₉	—	2	2	no	—
334	C₂²×C₂₉	—	2	2	no	—
335	C₂²×C₂₉	—	2	2	no	—
336	C₂²×C₂₉	—	2	2	no	—
337	C₂²×C₂₉	—	2	2	no	—
338	C₂²×C₂₉	—	2	2	no	—
339	C₂²×C₂₉	—	2	2	no	—
340	C₂²×C₂₉	—	4	1	no	—
341	C₂²×C₂₉	—	4	1	no	—
342	C₂²×C₂₉	—	4	1	no	—
343	C₂²×C₂₉	—	4	1	no	—
344	C₂²×C₂₉	#419	1	4	yes	—
345	C₂²×C₂₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
346	C₂²×C₂₉	#546	1	1	yes	characteristic
347	C₂²×C₂₉	#547	1	1	yes	characteristic
348	C₂²×C₂₉	C₂×#137	1	1	yes	characteristic
349	C₂²×C₂₉	C₂×#137	1	1	yes	characteristic
350	C₂²×C₂₉	#576	1	1	yes	characteristic
351	C₂²×C₂₉	#577	1	1	yes	characteristic
352	C₄×C₂₉	—	2	2	no	—
353	C₄×C₂₉	—	2	2	no	—
354	C₄×C₂₉	—	2	2	no	—
355	C₄×C₂₉	—	2	2	no	—
356	C₄×C₂₉	—	4	2	no	—
357	C₄×C₂₉	—	4	2	no	—
358	C₄×C₂₉	—	4	2	no	—
359	C₄×C₂₉	—	4	2	no	—
360	C₄×C₂₉	—	4	2	no	—
361	C₄×C₂₉	—	8	1	no	—
362	C₄×C₂₉	—	8	1	no	—
363	C₄×C₂₉	—	8	1	no	—
364	C₄×C₂₉	C₄×#41	1	1	yes	characteristic
365	C₄×C₂₉	#520	1	1	yes	characteristic
366	C₄×C₂₉	#546	1	1	yes	characteristic
367	C₄×C₂₉	#547	1	1	yes	characteristic
368	C₂²×M₁₆	C₂²×C₂₉	1	1	yes	characteristic
369	C₂³×C₈	C₂²×C₂₉	1	1	yes	characteristic
370	#554	—	2	4	no	—
371	#554	C₄×C₂₉	1	8	yes	complemented
372	C₂×C₄⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
373	C₂×#125	—	2	1	no	—
374	C₂×C₂²⋊Q₈	—	2	1	no	—
375	C₂×C₂²⋊Q₈	—	2	1	no	—
376	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
377	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
378	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
379	C₂×C₄×D₄	—	2	1	no	—
380	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
381	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
382	C₂²×C₄⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
383	C₂²×C₄⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
384	C₂²×C₄⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
385	#435	—	2	4	no	—
386	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
387	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
388	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
389	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
390	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
391	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
392	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
393	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic
394	#388	—	2	1	no	—
395	#387	—	2	1	no	—
396	#386	—	2	1	no	—
397	#382	C₂²×C₂₉	1	1	yes	characteristic
398	#380	C₂²×C₂₉	1	1	yes	characteristic
399	#380	C₂²×C₂₉	1	1	yes	characteristic
400	C₄×C₄⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
401	C₄×C₂²⋊C₄	—	2	1	no	—
402	#340	C₂²×C₂₉	1	1	yes	characteristic
403	#340	C₂²×C₂₉	1	1	yes	characteristic
404	#340	C₂²×C₂₉	1	1	yes	characteristic
405	#340	C₂²×C₂₉	1	1	yes	characteristic
406	#340	C₂²×C₂₉	1	1	yes	characteristic
407	#340	C₂²×C₂₉	1	1	yes	characteristic
408	#340	C₂²×C₂₉	1	1	yes	characteristic
409	#340	C₂²×C₂₉	1	1	yes	characteristic
410	#340	C₂²×C₂₉	1	1	yes	characteristic
411	#340	C₂²×C₂₉	1	1	yes	characteristic
412	#340	C₂²×C₂₉	1	1	yes	characteristic
413	#340	C₂²×C₂₉	1	1	yes	characteristic
414	C₂×C₂₉	—	2	4	no	—
415	C₂×C₂₉	—	4	2	no	—
416	C₂×C₂₉	#2339	1	1	yes	characteristic
417	C₂×C₂₉	C₂×#419	1	1	yes	characteristic
418	C₂×C₂₉	#2897	1	1	yes	characteristic
419	C₂×C₂₉	#3314	1	1	yes	characteristic
420	C₂×C₂₉	#3316	1	1	yes	characteristic
421	C₂×C₂₉	#3344	1	1	yes	characteristic
422	C₂×C₂₉	#3346	1	1	yes	characteristic
423	C₂²×Q₈	—	2	1	no	—
424	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
425	C₂²×D₄	D₄×C₂₉	1	1	yes	characteristic
426	C₂³×C₄	—	2	1	no	—
427	C₂³×C₄	—	2	1	no	—
428	C₂³×C₄	—	2	1	no	—
429	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
430	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
431	C₂×M₁₆	—	2	2	no	—
432	C₂×M₁₆	—	2	2	no	—
433	C₂×M₁₆	—	4	1	no	—
434	C₂²×C₈	—	2	2	no	—
435	C₂²×C₈	—	2	2	no	—
436	C₂²×C₈	—	4	1	no	—
437	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
438	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
439	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
440	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
441	C₄⋊Q₈	—	2	2	no	—
442	C₄⋊Q₈	C₂×C₄×C₂₉	1	4	yes	complemented
443	#125	—	2	8	no	—
444	C₂²⋊Q₈	—	2	2	no	—
445	C₂²⋊Q₈	—	2	2	no	—
446	C₂²⋊Q₈	—	2	8	no	—
447	C₂²⋊Q₈	—	2	8	no	—
448	C₂²⋊Q₈	C₂×C₄×C₂₉	1	4	yes	—
449	C₂²⋊Q₈	C₂×C₄×C₂₉	1	4	yes	complemented
450	C₄×Q₈	—	2	2	no	—
451	C₄×Q₈	C₂×C₄×C₂₉	1	4	yes	complemented
452	C₄×D₄	—	2	8	no	—
453	C₄×D₄	C₂×C₄×C₂₉	1	4	yes	—
454	C₄×D₄	D₄×C₂₉	1	4	yes	—
455	#117	—	2	2	no	—
456	#117	—	4	1	no	—
457	C₂×C₄⋊C₄	—	2	1	no	—
458	C₂×C₄⋊C₄	—	2	1	no	—
459	C₂×C₄⋊C₄	—	2	2	no	—
460	C₂×C₄⋊C₄	—	2	2	no	—
461	C₂×C₄⋊C₄	—	2	1	no	—
462	C₂×C₄⋊C₄	—	2	1	no	—
463	C₂×C₄⋊C₄	—	2	1	no	—
464	C₂×C₄⋊C₄	—	2	1	no	—
465	C₂×C₄⋊C₄	—	2	2	no	—
466	C₂×C₄⋊C₄	—	2	1	no	—
467	C₂×C₄⋊C₄	—	4	1	no	—
468	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	4	yes	—
469	C₂×C₄⋊C₄	C₂×C₄×C₂₉	1	4	yes	complemented
470	C₂×C₄⋊C₄	D₄×C₂₉	1	1	yes	characteristic
471	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
472	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
473	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
474	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
475	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
476	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
477	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
478	C₂×C₂²⋊C₄	—	2	1	no	—
479	C₂×C₂²⋊C₄	—	2	1	no	—
480	C₂×C₂²⋊C₄	—	2	1	no	—
481	C₂×C₂²⋊C₄	—	2	1	no	—
482	C₂×C₂²⋊C₄	—	2	1	no	—
483	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
484	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
485	C₂×C₄²	—	2	1	no	—
486	C₂×C₄²	—	2	1	no	—
487	C₂×C₄²	—	2	1	no	—
488	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
489	C₄⋊C₈	—	2	2	no	—
490	#103	—	2	2	no	—
491	#103	—	2	2	no	—
492	#103	—	4	1	no	—
493	#103	—	4	1	no	—
494	C₂²⋊C₈	—	2	2	no	—
495	C₂²⋊C₈	—	2	2	no	—
496	#97	—	2	2	no	—
497	#95	—	2	1	no	—
498	#95	—	2	1	no	—
499	#95	—	2	1	no	—
500	#95	—	2	1	no	—
501	#95	—	2	1	no	—
502	C₂₉	#22497	1	1	yes	characteristic, direct product factor, Sylow
503	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
504	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
505	C₂×Q₈	—	2	4	no	—
506	C₂×Q₈	—	2	1	no	—
507	C₂×Q₈	—	2	1	no	—
508	C₂×Q₈	—	2	1	no	—
509	C₂×Q₈	—	2	1	no	—
510	C₂×Q₈	—	2	1	no	—
511	C₂×Q₈	—	8	1	no	—
512	C₂×Q₈	—	8	1	no	—
513	C₂×Q₈	C₂²×C₄×C₂₉	1	2	yes	—
514	C₂×D₄	—	2	2	no	—
515	C₂×D₄	—	2	2	no	—
516	C₂×D₄	C₂²⋊C₄×C₂₉	1	4	yes	—
517	C₂²×C₄	—	2	1	no	—
518	C₂²×C₄	—	2	1	no	—
519	C₂²×C₄	—	2	1	no	—
520	C₂²×C₄	—	2	1	no	—
521	C₂²×C₄	—	2	1	no	—
522	C₂²×C₄	—	2	1	no	—
523	C₂²×C₄	—	2	1	no	—
524	C₂²×C₄	—	2	1	no	—
525	C₂²×C₄	—	2	1	no	—
526	C₂²×C₄	—	2	1	no	—
527	C₂²×C₄	—	2	1	no	—
528	C₂²×C₄	—	2	1	no	—
529	C₂²×C₄	—	2	1	no	—
530	C₂²×C₄	—	2	4	no	—
531	C₂²×C₄	—	2	4	no	—
532	C₂²×C₄	—	2	1	no	—
533	C₂²×C₄	—	2	1	no	—
534	C₂²×C₄	—	2	1	no	—
535	C₂²×C₄	—	4	2	no	—
536	C₂²×C₄	—	4	2	no	—
537	C₂²×C₄	—	8	1	no	—
538	C₂²×C₄	—	8	1	no	—
539	C₂²×C₄	—	8	1	no	—
540	C₂²×C₄	—	8	1	no	—
541	C₂²×C₄	—	8	1	no	—
542	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
543	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
544	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
545	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
546	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
547	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
548	C₂²×C₄	C₂×D₄×C₂₉	1	2	yes	—
549	C₂²×C₄	C₂×D₄×C₂₉	1	2	yes	—
550	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
551	M₁₆	—	4	4	no	—
552	C₂×C₈	—	2	1	no	—
553	C₂×C₈	—	2	1	no	—
554	C₂×C₈	—	2	1	no	—
555	C₂×C₈	—	2	1	no	—
556	C₂×C₈	—	2	1	no	—
557	C₂×C₈	—	2	1	no	—
558	C₂×C₈	—	2	1	no	—
559	C₂×C₈	—	2	1	no	—
560	C₂×C₈	—	2	1	no	—
561	C₂×C₈	—	2	1	no	—
562	C₂×C₈	—	2	1	no	—
563	C₂×C₈	—	4	4	no	—
564	C₂×C₈	#41×C₂₉	1	2	yes	—
565	C₄⋊C₄	—	2	4	no	—
566	C₄⋊C₄	—	2	4	no	—
567	C₄⋊C₄	—	2	4	no	—
568	C₄⋊C₄	—	2	4	no	—
569	C₄⋊C₄	—	2	4	no	—
570	C₄⋊C₄	—	2	4	no	—
571	C₄⋊C₄	—	2	1	no	—
572	C₄⋊C₄	—	2	1	no	—
573	C₄⋊C₄	—	2	1	no	—
574	C₄⋊C₄	—	2	1	no	—
575	C₄⋊C₄	—	2	1	no	—
576	C₄⋊C₄	—	2	1	no	—
577	C₄⋊C₄	—	2	1	no	—
578	C₄⋊C₄	—	2	1	no	—
579	C₄⋊C₄	—	2	1	no	—
580	C₄⋊C₄	—	2	1	no	—
581	C₄⋊C₄	—	4	2	no	—
582	C₄⋊C₄	C₂²⋊C₄×C₂₉	1	4	yes	—
583	C₄⋊C₄	C₂²×C₄×C₂₉	1	2	yes	—
584	C₄⋊C₄	C₂²×C₄×C₂₉	1	2	yes	—
585	C₄⋊C₄	C₂²×C₄×C₂₉	1	2	yes	—
586	C₄⋊C₄	#41×C₂₉	1	2	yes	—
587	C₂²⋊C₄	—	2	4	no	—
588	C₂²⋊C₄	—	2	4	no	—
589	C₂²⋊C₄	—	4	2	no	—
590	C₂²⋊C₄	—	4	2	no	—
591	C₂²⋊C₄	—	8	1	no	—
592	C₂²⋊C₄	C₂²⋊C₄×C₂₉	1	4	yes	—
593	C₂²⋊C₄	C₂²⋊C₄×C₂₉	1	4	yes	—
594	C₄²	—	2	4	no	—
595	C₄²	—	4	2	no	—
596	C₄²	—	8	1	no	—
597	C₄²	C₂²×C₄×C₂₉	1	2	yes	—
598	C₄²	C₂×D₄×C₂₉	1	2	yes	—
599	C₂³	—	2	1	no	—
600	C₂³	—	2	1	no	—
601	C₂³	—	2	1	no	—
602	C₂³	—	2	1	no	—
603	C₂³	—	2	1	no	—
604	C₂³	—	2	1	no	—
605	C₂³	—	2	1	no	—
606	C₂³	—	2	1	no	—
607	C₂³	—	2	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	C₂×C₂²⋊C₄×C₂₉	1	2	yes	—
610	C₂³	C₂×C₂²⋊C₄×C₂₉	1	2	yes	—
611	C₂³	C₂₉×#137	1	2	yes	—
612	C₂³	C₂₉×#137	1	2	yes	—
613	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
614	Q₈	—	2	2	no	—
615	Q₈	—	2	2	no	—
616	Q₈	—	4	1	no	—
617	Q₈	—	4	1	no	—
618	Q₈	—	8	4	no	—
619	D₄	—	2	8	no	—
620	C₂×C₄	—	2	1	no	—
621	C₂×C₄	—	2	1	no	—
622	C₂×C₄	—	2	1	no	—
623	C₂×C₄	—	2	1	no	—
624	C₂×C₄	—	2	1	no	—
625	C₂×C₄	—	2	1	no	—
626	C₂×C₄	—	2	1	no	—
627	C₂×C₄	—	2	1	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	2	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	2	no	—
635	C₂×C₄	—	2	2	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	4	1	no	—
642	C₂×C₄	—	4	1	no	—
643	C₂×C₄	—	4	1	no	—
644	C₂×C₄	—	4	1	no	—
645	C₂×C₄	—	4	1	no	—
646	C₂×C₄	—	4	1	no	—
647	C₂×C₄	—	4	1	no	—
648	C₂×C₄	—	4	1	no	—
649	C₂×C₄	—	4	1	no	—
650	C₂×C₄	—	4	1	no	—
651	C₂×C₄	—	4	1	no	—
652	C₂×C₄	—	4	1	no	—
653	C₂×C₄	—	4	1	no	—
654	C₂×C₄	—	4	1	no	—
655	C₂×C₄	—	4	1	no	—
656	C₂×C₄	—	4	1	no	—
657	C₂×C₄	—	4	1	no	—
658	C₂×C₄	—	4	1	no	—
659	C₂×C₄	—	4	1	no	—
660	C₂×C₄	—	8	4	no	—
661	C₂×C₄	—	8	4	no	—
662	C₂×C₄	—	8	4	no	—
663	C₂×C₄	C₂×C₂²⋊C₄×C₂₉	1	2	yes	—
664	C₂×C₄	C₂×C₂²⋊C₄×C₂₉	1	2	yes	—
665	C₂×C₄	C₂×C₂²⋊C₄×C₂₉	1	2	yes	—
666	C₂×C₄	C₂×C₂²⋊C₄×C₂₉	1	2	yes	—
667	C₂×C₄	C₂³×C₄×C₂₉	1	1	yes	characteristic
668	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
669	C₂×C₄	C₂×#41×C₂₉	1	1	yes	characteristic
670	C₂×C₄	C₂×#41×C₂₉	1	1	yes	characteristic
671	C₂×C₄	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
672	C₂×C₄	C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
673	C₈	—	2	2	no	—
674	C₈	—	4	1	no	—
675	C₈	—	4	1	no	—
676	C₈	—	4	1	no	—
677	C₂²	—	2	2	no	—
678	C₂²	—	2	2	no	—
679	C₂²	—	2	2	no	—
680	C₂²	—	2	2	no	—
681	C₂²	—	2	2	no	—
682	C₂²	—	2	2	no	—
683	C₂²	—	2	2	no	—
684	C₂²	—	2	2	no	—
685	C₂²	—	2	2	no	—
686	C₂²	—	4	1	no	—
687	C₂²	—	4	1	no	—
688	C₂²	—	4	1	no	—
689	C₂²	—	4	1	no	—
690	C₂²	C₂₉×#419	1	4	yes	—
691	C₂²	C₂²×C₂²⋊C₄×C₂₉	1	1	yes	characteristic
692	C₂²	C₂₉×#546	1	1	yes	characteristic
693	C₂²	C₂₉×#547	1	1	yes	characteristic
694	C₂²	C₂×C₂₉×#137	1	1	yes	characteristic
695	C₂²	C₂×C₂₉×#137	1	1	yes	characteristic
696	C₂²	C₂₉×#576	1	1	yes	characteristic
697	C₂²	C₂₉×#577	1	1	yes	characteristic
698	C₄	—	2	2	no	—
699	C₄	—	2	2	no	—
700	C₄	—	2	2	no	—
701	C₄	—	2	2	no	—
702	C₄	—	4	2	no	—
703	C₄	—	4	2	no	—
704	C₄	—	4	2	no	—
705	C₄	—	4	2	no	—
706	C₄	—	4	2	no	—
707	C₄	—	8	1	no	—
708	C₄	—	8	1	no	—
709	C₄	—	8	1	no	—
710	C₄	C₄×#41×C₂₉	1	1	yes	characteristic
711	C₄	C₂₉×#520	1	1	yes	characteristic
712	C₄	C₂₉×#546	1	1	yes	characteristic
713	C₄	C₂₉×#547	1	1	yes	characteristic
714	C₂	—	2	4	no	—
715	C₂	—	4	2	no	—
716	C₂	C₂₉×#2339	1	1	yes	characteristic
717	C₂	C₂×C₂₉×#419	1	1	yes	characteristic
718	C₂	C₂₉×#2897	1	1	yes	characteristic
719	C₂	C₂₉×#3314	1	1	yes	characteristic
720	C₂	C₂₉×#3316	1	1	yes	characteristic
721	C₂	C₂₉×#3344	1	1	yes	characteristic
722	C₂	C₂₉×#3346	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₂₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₂₉
prime radical	C₂²×D₄×C₂₉	D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₉ ◁ C₂×C₄×D₄×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₂₉×#1993	C₂	semidirect
5. C₂₉×#1988	C₂	semidirect
6. C₂₉×#1894	C₂	semidirect
7. C₂₉×#1892	C₂	semidirect
8. C₂₉×#1873	C₂	semidirect
9. C₂₉×#1872	C₂	semidirect
10. C₂₉×#1824	C₂	semidirect
11. C₂₉×#1823	C₂	semidirect
12. C₂₉×#1805	C₂	semidirect
13. C₂₉×#1763	C₂	semidirect
14. C₂₉×#1736	C₂	semidirect
15. C₂×C₂₉×#340	C₂	semidirect
19. C₂₉×#554	C₄	semidirect
81. C₂₉×C₄⋊Q₈	C₂×C₄	semidirect
88. C₂₉×C₂²⋊Q₈	C₂×C₄	semidirect
90. C₄×Q₈×C₂₉	C₂×C₄	semidirect
108. C₂×C₄⋊C₄×C₂₉	C₂×C₄	semidirect
237. #22497	C₂₉	direct (N × H)
319. #1993	C₂×C₂₉	semidirect
320. #1988	C₂×C₂₉	semidirect
321. #1894	C₂×C₂₉	semidirect
322. #1892	C₂×C₂₉	semidirect
323. #1873	C₂×C₂₉	semidirect
324. #1872	C₂×C₂₉	semidirect
325. #1824	C₂×C₂₉	semidirect
326. #1823	C₂×C₂₉	semidirect
327. #1805	C₂×C₂₉	semidirect
328. #1763	C₂×C₂₉	semidirect
329. #1736	C₂×C₂₉	semidirect
330. C₂×#340	C₂×C₂₉	semidirect
371. #554	C₄×C₂₉	semidirect
442. C₄⋊Q₈	C₂×C₄×C₂₉	semidirect
449. C₂²⋊Q₈	C₂×C₄×C₂₉	semidirect
451. C₄×Q₈	C₂×C₄×C₂₉	semidirect
469. C₂×C₄⋊C₄	C₂×C₄×C₂₉	semidirect
502. C₂₉	#22497	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₂₉×#554	2
C₂×C₂₉×#435	2
C₂₉×#2352	2
C₂₉×#1993	2
C₂₉×#1988	2
C₂₉×#1894	2
C₂₉×#1892	2
C₂₉×#1873	2
C₂₉×#1872	2
C₂₉×#1824	2
C₂₉×#1823	2
C₂₉×#1805	2
C₂₉×#1763	2
C₂₉×#1736	2
C₂×C₂₉×#340	2
#22497	29

Subgroups — C29×#22497 #20317397

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#22497 #20317397