Subgroups — C₂₉×#22877 #20317777

Order 7424.

1158 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₉×#449	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×SD₁₆×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₂₉×#416	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#2363	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#2341	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#1970	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#1934	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#1926	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#1893	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#1880	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#1879	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#1863	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#1854	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₂₉×#103	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈×C₂²⋊C₄×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#41×C₂₉	C₂²	1	1	yes	characteristic
17	C₂²×SD₁₆×C₂₉	C₂²	1	1	yes	characteristic
18	C₂²×D₈×C₂₉	C₂²	1	1	yes	characteristic
19	C₂³×C₈×C₂₉	C₂²	1	1	yes	characteristic
20	C₂×C₂₉×#121	C₂²	1	1	yes	characteristic
21	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
22	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
24	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
25	C₂₉×#449	C₄	1	8	yes	complemented
26	C₄×SD₁₆×C₂₉	—	2	4	no	—
27	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
28	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
29	C₂₉×#416	—	2	4	no	—
30	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
31	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
32	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
33	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
34	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
35	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
36	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
37	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
38	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic
41	C₂₉×#390	—	2	1	no	—
42	C₂₉×#390	—	2	1	no	—
43	C₂₉×#390	—	2	1	no	—
44	C₂₉×#390	C₂²	1	1	yes	characteristic
45	C₂₉×#390	C₂²	1	1	yes	characteristic
46	C₂₉×#390	C₂²	1	1	yes	characteristic
47	C₂₉×#389	C₂²	1	1	yes	characteristic
48	C₂₉×#388	—	2	1	no	—
49	C₂₉×#386	—	2	1	no	—
50	C₂₉×#380	—	2	1	no	—
51	C₂₉×#380	C₂²	1	1	yes	characteristic
52	C₄×C₄⋊C₄×C₂₉	C₂²	1	1	yes	characteristic
53	C₄×C₂²⋊C₄×C₂₉	—	2	1	no	—
54	C₄×C₂²⋊C₄×C₂₉	—	2	1	no	—
55	C₄×C₂²⋊C₄×C₂₉	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×#336	C₂²	1	1	yes	characteristic
61	C₂₉×#336	C₂²	1	1	yes	characteristic
62	C₂×#41×C₂₉	—	2	2	no	—
63	C₂×#41×C₂₉	—	2	2	no	—
64	C₂×#41×C₂₉	—	2	2	no	—
65	C₂×#41×C₂₉	—	4	1	no	—
66	C₂×#41×C₂₉	—	4	1	no	—
67	C₂×#41×C₂₉	C₂×C₄	1	4	yes	complemented
68	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
69	C₂²×D₄×C₂₉	—	2	1	no	—
70	C₂²×D₄×C₂₉	—	2	1	no	—
71	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
72	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
73	C₂³×C₄×C₂₉	—	2	1	no	—
74	C₂³×C₄×C₂₉	—	2	1	no	—
75	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
76	C₂×SD₁₆×C₂₉	—	2	2	no	—
77	C₂×SD₁₆×C₂₉	—	2	2	no	—
78	C₂×SD₁₆×C₂₉	C₂×C₄	1	4	yes	—
79	C₂×D₈×C₂₉	—	4	1	no	—
80	C₂×D₈×C₂₉	—	4	1	no	—
81	C₂×D₈×C₂₉	C₂×C₄	1	4	yes	—
82	C₂²×C₈×C₂₉	—	2	2	no	—
83	C₂²×C₈×C₂₉	—	2	2	no	—
84	C₂²×C₈×C₂₉	—	4	1	no	—
85	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
86	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
87	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
88	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
89	C₂₉×#121	—	2	2	no	—
90	C₂₉×#121	C₂×C₄	1	4	yes	—
91	C₄×Q₈×C₂₉	—	2	2	no	—
92	C₄×Q₈×C₂₉	—	2	2	no	—
93	C₄×Q₈×C₂₉	—	4	1	no	—
94	C₄×Q₈×C₂₉	—	4	1	no	—
95	C₄×D₄×C₂₉	—	2	2	no	—
96	C₄×D₄×C₂₉	—	4	1	no	—
97	C₂₉×#117	—	2	2	no	—
98	C₂₉×#117	—	4	1	no	—
99	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
100	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
101	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
102	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
103	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
104	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
105	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
106	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
107	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
108	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
109	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
110	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
111	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
112	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
113	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
114	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
115	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
116	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
117	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
118	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
119	C₂×C₄²×C₂₉	—	2	1	no	—
120	C₂×C₄²×C₂₉	—	2	1	no	—
121	C₂×C₄²×C₂₉	—	2	1	no	—
122	C₂×C₄²×C₂₉	—	2	1	no	—
123	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
124	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
125	C₂₉×#107	—	4	1	no	—
126	C₂₉×#106	—	2	2	no	—
127	C₂₉×#103	—	2	2	no	—
128	C₂₉×#103	C₂×C₄	1	4	yes	complemented
129	C₂₉×#103	D₄	1	4	yes	complemented
130	C₂₉×#102	—	2	2	no	—
131	C₂₉×#102	—	2	2	no	—
132	C₂₉×#102	—	2	2	no	—
133	C₂₉×#102	—	4	1	no	—
134	C₂₉×#102	C₂×C₄	1	4	yes	complemented
135	C₂₉×C₂²⋊C₈	C₂×C₄	1	4	yes	complemented
136	C₄×C₈×C₂₉	—	2	2	no	—
137	C₄×C₈×C₂₉	—	4	1	no	—
138	C₂₉×#95	—	2	1	no	—
139	C₂₉×#95	—	2	1	no	—
140	C₂₉×#95	—	2	1	no	—
141	C₂₉×#95	D₄	1	1	yes	characteristic
142	C₂₉×#95	D₄	1	1	yes	characteristic
143	C₂⁴×C₂₉	—	2	1	no	—
144	C₂⁴×C₂₉	—	2	1	no	—
145	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
146	#41×C₂₉	—	2	8	no	—
147	#41×C₂₉	—	4	4	no	—
148	#41×C₂₉	—	4	4	no	—
149	#41×C₂₉	—	4	4	no	—
150	C₂×Q₈×C₂₉	—	2	1	no	—
151	C₂×Q₈×C₂₉	—	2	1	no	—
152	C₂×Q₈×C₂₉	—	2	1	no	—
153	C₂×Q₈×C₂₉	C₂²×C₄	1	2	yes	—
154	C₂×Q₈×C₂₉	C₂×D₄	1	2	yes	—
155	C₂×Q₈×C₂₉	#41	1	2	yes	—
156	C₂×D₄×C₂₉	—	2	4	no	—
157	C₂×D₄×C₂₉	—	2	4	no	—
158	C₂×D₄×C₂₉	—	2	1	no	—
159	C₂×D₄×C₂₉	—	2	1	no	—
160	C₂×D₄×C₂₉	—	2	1	no	—
161	C₂×D₄×C₂₉	—	2	1	no	—
162	C₂×D₄×C₂₉	—	2	1	no	—
163	C₂×D₄×C₂₉	—	2	1	no	—
164	C₂×D₄×C₂₉	—	2	1	no	—
165	C₂×D₄×C₂₉	—	2	1	no	—
166	C₂×D₄×C₂₉	—	2	1	no	—
167	C₂×D₄×C₂₉	—	2	1	no	—
168	C₂×D₄×C₂₉	—	4	2	no	—
169	C₂×D₄×C₂₉	—	4	2	no	—
170	C₂×D₄×C₂₉	—	8	1	no	—
171	C₂×D₄×C₂₉	—	8	1	no	—
172	C₂×D₄×C₂₉	C₂²×C₄	1	2	yes	—
173	C₂×D₄×C₂₉	C₂²×C₄	1	2	yes	—
174	C₂²×C₄×C₂₉	—	2	1	no	—
175	C₂²×C₄×C₂₉	—	2	1	no	—
176	C₂²×C₄×C₂₉	—	2	1	no	—
177	C₂²×C₄×C₂₉	—	2	1	no	—
178	C₂²×C₄×C₂₉	—	2	1	no	—
179	C₂²×C₄×C₂₉	—	2	1	no	—
180	C₂²×C₄×C₂₉	—	2	1	no	—
181	C₂²×C₄×C₂₉	—	2	4	no	—
182	C₂²×C₄×C₂₉	—	2	1	no	—
183	C₂²×C₄×C₂₉	—	2	1	no	—
184	C₂²×C₄×C₂₉	—	2	1	no	—
185	C₂²×C₄×C₂₉	—	4	2	no	—
186	C₂²×C₄×C₂₉	—	4	2	no	—
187	C₂²×C₄×C₂₉	—	4	2	no	—
188	C₂²×C₄×C₂₉	—	4	2	no	—
189	C₂²×C₄×C₂₉	—	8	1	no	—
190	C₂²×C₄×C₂₉	C₂²×C₄	1	2	yes	—
191	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
192	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
193	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
194	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
195	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₂₉	#41	1	2	yes	—
197	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
198	SD₁₆×C₂₉	—	2	8	no	—
199	D₈×C₂₉	—	4	4	no	—
200	C₂×C₈×C₂₉	—	2	1	no	—
201	C₂×C₈×C₂₉	—	2	1	no	—
202	C₂×C₈×C₂₉	—	2	1	no	—
203	C₂×C₈×C₂₉	—	2	1	no	—
204	C₂×C₈×C₂₉	—	2	1	no	—
205	C₂×C₈×C₂₉	—	2	1	no	—
206	C₂×C₈×C₂₉	—	2	1	no	—
207	C₂×C₈×C₂₉	—	2	1	no	—
208	C₂×C₈×C₂₉	—	2	1	no	—
209	C₂×C₈×C₂₉	—	4	4	no	—
210	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
211	C₂×C₈×C₂₉	C₂²×C₄	1	2	yes	—
212	C₂×C₈×C₂₉	C₂×D₄	1	2	yes	—
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	—	2	1	no	—
220	C₄⋊C₄×C₂₉	—	2	1	no	—
221	C₄⋊C₄×C₂₉	—	4	2	no	—
222	C₄⋊C₄×C₂₉	—	4	2	no	—
223	C₄⋊C₄×C₂₉	—	8	1	no	—
224	C₄⋊C₄×C₂₉	C₂²×C₄	1	2	yes	—
225	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
226	C₂²⋊C₄×C₂₉	—	2	4	no	—
227	C₂²⋊C₄×C₂₉	—	2	2	no	—
228	C₂²⋊C₄×C₂₉	—	2	2	no	—
229	C₂²⋊C₄×C₂₉	—	4	2	no	—
230	C₂²⋊C₄×C₂₉	—	4	2	no	—
231	C₂²⋊C₄×C₂₉	—	4	2	no	—
232	C₂²⋊C₄×C₂₉	—	4	2	no	—
233	C₂²⋊C₄×C₂₉	—	4	2	no	—
234	C₂²⋊C₄×C₂₉	—	8	1	no	—
235	C₂²⋊C₄×C₂₉	—	8	1	no	—
236	C₂²⋊C₄×C₂₉	—	8	1	no	—
237	C₂²⋊C₄×C₂₉	—	8	1	no	—
238	C₄²×C₂₉	—	2	1	no	—
239	C₄²×C₂₉	—	2	1	no	—
240	C₄²×C₂₉	—	2	1	no	—
241	C₄²×C₂₉	—	2	1	no	—
242	C₄²×C₂₉	—	4	2	no	—
243	C₄²×C₂₉	—	4	2	no	—
244	C₄²×C₂₉	—	4	2	no	—
245	C₄²×C₂₉	—	8	1	no	—
246	#22877	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
247	C₂³×C₂₉	—	2	1	no	—
248	C₂³×C₂₉	—	2	1	no	—
249	C₂³×C₂₉	—	2	1	no	—
250	C₂³×C₂₉	—	2	1	no	—
251	C₂³×C₂₉	—	2	1	no	—
252	C₂³×C₂₉	—	2	1	no	—
253	C₂³×C₂₉	—	2	2	no	—
254	C₂³×C₂₉	—	2	2	no	—
255	C₂³×C₂₉	—	4	1	no	—
256	C₂³×C₂₉	—	4	1	no	—
257	C₂³×C₂₉	—	4	1	no	—
258	C₂³×C₂₉	—	4	1	no	—
259	C₂³×C₂₉	—	4	1	no	—
260	C₂³×C₂₉	—	4	1	no	—
261	C₂³×C₂₉	—	4	1	no	—
262	C₂³×C₂₉	—	4	1	no	—
263	C₂³×C₂₉	—	4	1	no	—
264	C₂³×C₂₉	—	4	1	no	—
265	C₂³×C₂₉	—	4	1	no	—
266	C₂³×C₂₉	—	4	1	no	—
267	C₂³×C₂₉	C₄×D₄	1	2	yes	—
268	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
269	Q₈×C₂₉	—	2	2	no	—
270	Q₈×C₂₉	—	2	2	no	—
271	Q₈×C₂₉	—	2	2	no	—
272	Q₈×C₂₉	C₄×D₄	1	4	yes	—
273	D₄×C₂₉	—	2	2	no	—
274	D₄×C₂₉	—	2	2	no	—
275	D₄×C₂₉	—	2	2	no	—
276	D₄×C₂₉	—	2	2	no	—
277	D₄×C₂₉	—	4	8	no	—
278	D₄×C₂₉	—	4	1	no	—
279	D₄×C₂₉	—	4	1	no	—
280	D₄×C₂₉	—	4	1	no	—
281	D₄×C₂₉	—	4	1	no	—
282	D₄×C₂₉	—	8	4	no	—
283	C₂×C₄×C₂₉	—	2	2	no	—
284	C₂×C₄×C₂₉	—	2	1	no	—
285	C₂×C₄×C₂₉	—	2	1	no	—
286	C₂×C₄×C₂₉	—	2	2	no	—
287	C₂×C₄×C₂₉	—	2	1	no	—
288	C₂×C₄×C₂₉	—	2	2	no	—
289	C₂×C₄×C₂₉	—	2	1	no	—
290	C₂×C₄×C₂₉	—	2	1	no	—
291	C₂×C₄×C₂₉	—	2	1	no	—
292	C₂×C₄×C₂₉	—	2	2	no	—
293	C₂×C₄×C₂₉	—	2	2	no	—
294	C₂×C₄×C₂₉	—	2	2	no	—
295	C₂×C₄×C₂₉	—	2	2	no	—
296	C₂×C₄×C₂₉	—	2	2	no	—
297	C₂×C₄×C₂₉	—	2	1	no	—
298	C₂×C₄×C₂₉	—	2	2	no	—
299	C₂×C₄×C₂₉	—	2	1	no	—
300	C₂×C₄×C₂₉	—	2	1	no	—
301	C₂×C₄×C₂₉	—	2	1	no	—
302	C₂×C₄×C₂₉	—	2	1	no	—
303	C₂×C₄×C₂₉	—	2	1	no	—
304	C₂×C₄×C₂₉	—	4	8	no	—
305	C₂×C₄×C₂₉	—	4	1	no	—
306	C₂×C₄×C₂₉	—	4	1	no	—
307	C₂×C₄×C₂₉	—	4	1	no	—
308	C₂×C₄×C₂₉	—	4	1	no	—
309	C₂×C₄×C₂₉	—	4	1	no	—
310	C₂×C₄×C₂₉	—	4	1	no	—
311	C₂×C₄×C₂₉	—	4	1	no	—
312	C₂×C₄×C₂₉	—	4	1	no	—
313	C₂×C₄×C₂₉	—	4	1	no	—
314	C₂×C₄×C₂₉	—	4	1	no	—
315	C₂×C₄×C₂₉	—	4	1	no	—
316	C₂×C₄×C₂₉	—	4	1	no	—
317	C₂×C₄×C₂₉	—	4	1	no	—
318	C₂×C₄×C₂₉	—	8	4	no	—
319	C₂×C₄×C₂₉	C₄×D₄	1	2	yes	—
320	C₂×C₄×C₂₉	#135	1	2	yes	—
321	C₂×C₄×C₂₉	#135	1	2	yes	—
322	C₂×C₄×C₂₉	C₂³×C₄	1	1	yes	characteristic
323	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
324	C₂×C₄×C₂₉	C₂×#41	1	1	yes	characteristic
325	C₂×C₄×C₂₉	C₂×#41	1	1	yes	characteristic
326	C₂×C₄×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
327	C₂×C₄×C₂₉	H(5,𝔽₂)	1	1	yes	characteristic
328	C₈×C₂₉	—	2	2	no	—
329	C₈×C₂₉	—	2	2	no	—
330	C₈×C₂₉	—	2	2	no	—
331	C₈×C₂₉	—	4	1	no	—
332	C₂×#449	C₂×C₂₉	1	1	yes	characteristic
333	C₂×C₄×SD₁₆	C₂×C₂₉	1	1	yes	characteristic, complemented
334	C₂×#416	C₂×C₂₉	1	1	yes	characteristic, complemented
335	#2363	C₂×C₂₉	1	1	yes	characteristic, complemented
336	#2341	C₂×C₂₉	1	1	yes	characteristic, complemented
337	#1970	C₂×C₂₉	1	1	yes	characteristic, complemented
338	#1934	C₂×C₂₉	1	1	yes	characteristic, complemented
339	#1926	C₂×C₂₉	1	1	yes	characteristic, complemented
340	#1893	C₂×C₂₉	1	1	yes	characteristic, complemented
341	#1880	C₂×C₂₉	1	1	yes	characteristic, complemented
342	#1879	C₂×C₂₉	1	1	yes	characteristic, complemented
343	#1863	C₂×C₂₉	1	1	yes	characteristic, complemented
344	#1854	C₂×C₂₉	1	1	yes	characteristic, complemented
345	C₄×#103	C₂×C₂₉	1	1	yes	characteristic, complemented
346	C₈×C₂²⋊C₄	C₂×C₂₉	1	1	yes	characteristic, complemented
347	C₂²×C₂₉	—	2	2	no	—
348	C₂²×C₂₉	—	2	2	no	—
349	C₂²×C₂₉	—	2	2	no	—
350	C₂²×C₂₉	—	4	1	no	—
351	C₂²×C₂₉	—	4	1	no	—
352	C₂²×C₂₉	—	4	1	no	—
353	C₂²×C₂₉	—	4	1	no	—
354	C₂²×C₂₉	—	4	2	no	—
355	C₂²×C₂₉	—	4	2	no	—
356	C₂²×C₂₉	—	4	2	no	—
357	C₂²×C₂₉	—	4	2	no	—
358	C₂²×C₂₉	—	4	2	no	—
359	C₂²×C₂₉	—	4	2	no	—
360	C₂²×C₂₉	—	8	1	no	—
361	C₂²×C₂₉	—	8	1	no	—
362	C₂²×C₂₉	—	8	1	no	—
363	C₂²×C₂₉	—	8	1	no	—
364	C₂²×C₂₉	—	8	1	no	—
365	C₂²×C₂₉	—	8	1	no	—
366	C₂²×C₂₉	—	8	1	no	—
367	C₂²×C₂₉	—	8	1	no	—
368	C₂²×C₂₉	C₂×C₄×D₄	1	1	yes	characteristic
369	C₂²×C₂₉	D₄²	1	1	yes	characteristic
370	C₂²×C₂₉	#546	1	1	yes	characteristic
371	C₂²×C₂₉	C₂×#135	1	1	yes	characteristic
372	C₂²×C₂₉	C₂×#135	1	1	yes	characteristic
373	C₂²×C₂₉	#576	1	1	yes	characteristic
374	C₂²×C₂₉	#577	1	1	yes	characteristic
375	C₄×C₂₉	—	2	2	no	—
376	C₄×C₂₉	—	2	4	no	—
377	C₄×C₂₉	—	2	2	no	—
378	C₄×C₂₉	—	2	2	no	—
379	C₄×C₂₉	—	4	2	no	—
380	C₄×C₂₉	—	4	2	no	—
381	C₄×C₂₉	—	4	1	no	—
382	C₄×C₂₉	—	4	1	no	—
383	C₄×C₂₉	—	8	1	no	—
384	C₄×C₂₉	—	8	1	no	—
385	C₄×C₂₉	—	8	1	no	—
386	C₄×C₂₉	C₂×C₄×D₄	1	1	yes	characteristic
387	C₄×C₂₉	#518	1	1	yes	characteristic
388	C₄×C₂₉	#546	1	1	yes	characteristic
389	C₄×C₂₉	#551	1	1	yes	characteristic
390	C₂²×#41	C₂²×C₂₉	1	1	yes	characteristic
391	C₂²×SD₁₆	C₂²×C₂₉	1	1	yes	characteristic
392	C₂²×D₈	C₂²×C₂₉	1	1	yes	characteristic
393	C₂³×C₈	C₂²×C₂₉	1	1	yes	characteristic
394	C₂×#121	C₂²×C₂₉	1	1	yes	characteristic
395	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
396	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
397	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
398	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
399	#449	C₄×C₂₉	1	8	yes	complemented
400	C₄×SD₁₆	—	2	4	no	—
401	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
402	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
403	#416	—	2	4	no	—
404	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
405	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
406	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
407	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
408	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
409	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
410	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
411	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
412	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
413	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic
414	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic
415	#390	—	2	1	no	—
416	#390	—	2	1	no	—
417	#390	—	2	1	no	—
418	#390	C₂²×C₂₉	1	1	yes	characteristic
419	#390	C₂²×C₂₉	1	1	yes	characteristic
420	#390	C₂²×C₂₉	1	1	yes	characteristic
421	#389	C₂²×C₂₉	1	1	yes	characteristic
422	#388	—	2	1	no	—
423	#386	—	2	1	no	—
424	#380	—	2	1	no	—
425	#380	C₂²×C₂₉	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
427	C₄×C₂²⋊C₄	—	2	1	no	—
428	C₄×C₂²⋊C₄	—	2	1	no	—
429	C₄×C₂²⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
430	#340	C₂²×C₂₉	1	1	yes	characteristic
431	#340	C₂²×C₂₉	1	1	yes	characteristic
432	#340	C₂²×C₂₉	1	1	yes	characteristic
433	#340	C₂²×C₂₉	1	1	yes	characteristic
434	#336	C₂²×C₂₉	1	1	yes	characteristic
435	#336	C₂²×C₂₉	1	1	yes	characteristic
436	C₂×C₂₉	—	4	2	no	—
437	C₂×C₂₉	—	8	2	no	—
438	C₂×C₂₉	—	8	2	no	—
439	C₂×C₂₉	#2358	1	1	yes	characteristic
440	C₂×C₂₉	C₄×#135	1	1	yes	characteristic
441	C₂×C₂₉	#2946	1	1	yes	characteristic
442	C₂×C₂₉	#3282	1	1	yes	characteristic
443	C₂×C₂₉	#3287	1	1	yes	characteristic
444	C₂×C₂₉	#3301	1	1	yes	characteristic
445	C₂×C₂₉	#3305	1	1	yes	characteristic
446	C₂×#41	—	2	2	no	—
447	C₂×#41	—	2	2	no	—
448	C₂×#41	—	2	2	no	—
449	C₂×#41	—	4	1	no	—
450	C₂×#41	—	4	1	no	—
451	C₂×#41	C₂×C₄×C₂₉	1	4	yes	complemented
452	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
453	C₂²×D₄	—	2	1	no	—
454	C₂²×D₄	—	2	1	no	—
455	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
456	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
457	C₂³×C₄	—	2	1	no	—
458	C₂³×C₄	—	2	1	no	—
459	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
460	C₂×SD₁₆	—	2	2	no	—
461	C₂×SD₁₆	—	2	2	no	—
462	C₂×SD₁₆	C₂×C₄×C₂₉	1	4	yes	—
463	C₂×D₈	—	4	1	no	—
464	C₂×D₈	—	4	1	no	—
465	C₂×D₈	C₂×C₄×C₂₉	1	4	yes	—
466	C₂²×C₈	—	2	2	no	—
467	C₂²×C₈	—	2	2	no	—
468	C₂²×C₈	—	4	1	no	—
469	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
470	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
471	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
472	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
473	#121	—	2	2	no	—
474	#121	C₂×C₄×C₂₉	1	4	yes	—
475	C₄×Q₈	—	2	2	no	—
476	C₄×Q₈	—	2	2	no	—
477	C₄×Q₈	—	4	1	no	—
478	C₄×Q₈	—	4	1	no	—
479	C₄×D₄	—	2	2	no	—
480	C₄×D₄	—	4	1	no	—
481	#117	—	2	2	no	—
482	#117	—	4	1	no	—
483	C₂×C₄⋊C₄	—	2	1	no	—
484	C₂×C₄⋊C₄	—	2	1	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
487	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
488	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
489	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
491	C₂×C₂²⋊C₄	—	2	1	no	—
492	C₂×C₂²⋊C₄	—	2	1	no	—
493	C₂×C₂²⋊C₄	—	2	1	no	—
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₂²⋊C₄	—	2	1	no	—
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	—	2	1	no	—
499	C₂×C₂²⋊C₄	—	2	1	no	—
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
502	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
503	C₂×C₄²	—	2	1	no	—
504	C₂×C₄²	—	2	1	no	—
505	C₂×C₄²	—	2	1	no	—
506	C₂×C₄²	—	2	1	no	—
507	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
508	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
509	#107	—	4	1	no	—
510	#106	—	2	2	no	—
511	#103	—	2	2	no	—
512	#103	C₂×C₄×C₂₉	1	4	yes	complemented
513	#103	D₄×C₂₉	1	4	yes	complemented
514	#102	—	2	2	no	—
515	#102	—	2	2	no	—
516	#102	—	2	2	no	—
517	#102	—	4	1	no	—
518	#102	C₂×C₄×C₂₉	1	4	yes	complemented
519	C₂²⋊C₈	C₂×C₄×C₂₉	1	4	yes	complemented
520	C₄×C₈	—	2	2	no	—
521	C₄×C₈	—	4	1	no	—
522	#95	—	2	1	no	—
523	#95	—	2	1	no	—
524	#95	—	2	1	no	—
525	#95	D₄×C₂₉	1	1	yes	characteristic
526	#95	D₄×C₂₉	1	1	yes	characteristic
527	C₂₉	#22877	1	1	yes	characteristic, direct product factor, Sylow
528	C₂⁴	—	2	1	no	—
529	C₂⁴	—	2	1	no	—
530	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
531	#41	—	2	8	no	—
532	#41	—	4	4	no	—
533	#41	—	4	4	no	—
534	#41	—	4	4	no	—
535	C₂×Q₈	—	2	1	no	—
536	C₂×Q₈	—	2	1	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	C₂²×C₄×C₂₉	1	2	yes	—
539	C₂×Q₈	C₂×D₄×C₂₉	1	2	yes	—
540	C₂×Q₈	#41×C₂₉	1	2	yes	—
541	C₂×D₄	—	2	4	no	—
542	C₂×D₄	—	2	4	no	—
543	C₂×D₄	—	2	1	no	—
544	C₂×D₄	—	2	1	no	—
545	C₂×D₄	—	2	1	no	—
546	C₂×D₄	—	2	1	no	—
547	C₂×D₄	—	2	1	no	—
548	C₂×D₄	—	2	1	no	—
549	C₂×D₄	—	2	1	no	—
550	C₂×D₄	—	2	1	no	—
551	C₂×D₄	—	2	1	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	4	2	no	—
554	C₂×D₄	—	4	2	no	—
555	C₂×D₄	—	8	1	no	—
556	C₂×D₄	—	8	1	no	—
557	C₂×D₄	C₂²×C₄×C₂₉	1	2	yes	—
558	C₂×D₄	C₂²×C₄×C₂₉	1	2	yes	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	1	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	4	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	4	2	no	—
571	C₂²×C₄	—	4	2	no	—
572	C₂²×C₄	—	4	2	no	—
573	C₂²×C₄	—	4	2	no	—
574	C₂²×C₄	—	8	1	no	—
575	C₂²×C₄	C₂²×C₄×C₂₉	1	2	yes	—
576	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
577	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
578	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
579	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
580	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
581	C₂²×C₄	#41×C₂₉	1	2	yes	—
582	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
583	SD₁₆	—	2	8	no	—
584	D₈	—	4	4	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	—	2	1	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	1	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	4	4	no	—
595	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
596	C₂×C₈	C₂²×C₄×C₂₉	1	2	yes	—
597	C₂×C₈	C₂×D₄×C₂₉	1	2	yes	—
598	C₄⋊C₄	—	2	1	no	—
599	C₄⋊C₄	—	2	1	no	—
600	C₄⋊C₄	—	2	1	no	—
601	C₄⋊C₄	—	2	1	no	—
602	C₄⋊C₄	—	2	1	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	1	no	—
606	C₄⋊C₄	—	4	2	no	—
607	C₄⋊C₄	—	4	2	no	—
608	C₄⋊C₄	—	8	1	no	—
609	C₄⋊C₄	C₂²×C₄×C₂₉	1	2	yes	—
610	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
611	C₂²⋊C₄	—	2	4	no	—
612	C₂²⋊C₄	—	2	2	no	—
613	C₂²⋊C₄	—	2	2	no	—
614	C₂²⋊C₄	—	4	2	no	—
615	C₂²⋊C₄	—	4	2	no	—
616	C₂²⋊C₄	—	4	2	no	—
617	C₂²⋊C₄	—	4	2	no	—
618	C₂²⋊C₄	—	4	2	no	—
619	C₂²⋊C₄	—	8	1	no	—
620	C₂²⋊C₄	—	8	1	no	—
621	C₂²⋊C₄	—	8	1	no	—
622	C₂²⋊C₄	—	8	1	no	—
623	C₄²	—	2	1	no	—
624	C₄²	—	2	1	no	—
625	C₄²	—	2	1	no	—
626	C₄²	—	2	1	no	—
627	C₄²	—	4	2	no	—
628	C₄²	—	4	2	no	—
629	C₄²	—	4	2	no	—
630	C₄²	—	8	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	2	no	—
638	C₂³	—	2	2	no	—
639	C₂³	—	4	1	no	—
640	C₂³	—	4	1	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	1	no	—
643	C₂³	—	4	1	no	—
644	C₂³	—	4	1	no	—
645	C₂³	—	4	1	no	—
646	C₂³	—	4	1	no	—
647	C₂³	—	4	1	no	—
648	C₂³	—	4	1	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	4	1	no	—
651	C₂³	C₄×D₄×C₂₉	1	2	yes	—
652	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
653	Q₈	—	2	2	no	—
654	Q₈	—	2	2	no	—
655	Q₈	—	2	2	no	—
656	Q₈	C₄×D₄×C₂₉	1	4	yes	—
657	D₄	—	2	2	no	—
658	D₄	—	2	2	no	—
659	D₄	—	2	2	no	—
660	D₄	—	2	2	no	—
661	D₄	—	4	8	no	—
662	D₄	—	4	1	no	—
663	D₄	—	4	1	no	—
664	D₄	—	4	1	no	—
665	D₄	—	4	1	no	—
666	D₄	—	8	4	no	—
667	C₂×C₄	—	2	2	no	—
668	C₂×C₄	—	2	1	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	4	8	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	8	4	no	—
703	C₂×C₄	C₄×D₄×C₂₉	1	2	yes	—
704	C₂×C₄	C₂₉×#135	1	2	yes	—
705	C₂×C₄	C₂₉×#135	1	2	yes	—
706	C₂×C₄	C₂³×C₄×C₂₉	1	1	yes	characteristic
707	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
708	C₂×C₄	C₂×#41×C₂₉	1	1	yes	characteristic
709	C₂×C₄	C₂×#41×C₂₉	1	1	yes	characteristic
710	C₂×C₄	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
711	C₂×C₄	C₂₉×H(5,𝔽₂)	1	1	yes	characteristic
712	C₈	—	2	2	no	—
713	C₈	—	2	2	no	—
714	C₈	—	2	2	no	—
715	C₈	—	4	1	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	2	no	—
718	C₂²	—	2	2	no	—
719	C₂²	—	4	1	no	—
720	C₂²	—	4	1	no	—
721	C₂²	—	4	1	no	—
722	C₂²	—	4	1	no	—
723	C₂²	—	4	2	no	—
724	C₂²	—	4	2	no	—
725	C₂²	—	4	2	no	—
726	C₂²	—	4	2	no	—
727	C₂²	—	4	2	no	—
728	C₂²	—	4	2	no	—
729	C₂²	—	8	1	no	—
730	C₂²	—	8	1	no	—
731	C₂²	—	8	1	no	—
732	C₂²	—	8	1	no	—
733	C₂²	—	8	1	no	—
734	C₂²	—	8	1	no	—
735	C₂²	—	8	1	no	—
736	C₂²	—	8	1	no	—
737	C₂²	C₂×C₄×D₄×C₂₉	1	1	yes	characteristic
738	C₂²	D₄²×C₂₉	1	1	yes	characteristic
739	C₂²	C₂₉×#546	1	1	yes	characteristic
740	C₂²	C₂×C₂₉×#135	1	1	yes	characteristic
741	C₂²	C₂×C₂₉×#135	1	1	yes	characteristic
742	C₂²	C₂₉×#576	1	1	yes	characteristic
743	C₂²	C₂₉×#577	1	1	yes	characteristic
744	C₄	—	2	2	no	—
745	C₄	—	2	2	no	—
746	C₄	—	2	2	no	—
747	C₄	—	2	4	no	—
748	C₄	—	4	2	no	—
749	C₄	—	4	2	no	—
750	C₄	—	4	1	no	—
751	C₄	—	4	1	no	—
752	C₄	—	8	1	no	—
753	C₄	—	8	1	no	—
754	C₄	—	8	1	no	—
755	C₄	C₂×C₄×D₄×C₂₉	1	1	yes	characteristic
756	C₄	C₂₉×#518	1	1	yes	characteristic
757	C₄	C₂₉×#546	1	1	yes	characteristic
758	C₄	C₂₉×#551	1	1	yes	characteristic
759	C₂	—	4	2	no	—
760	C₂	—	8	2	no	—
761	C₂	—	8	2	no	—
762	C₂	C₂₉×#2358	1	1	yes	characteristic
763	C₂	C₄×C₂₉×#135	1	1	yes	characteristic
764	C₂	C₂₉×#2946	1	1	yes	characteristic
765	C₂	C₂₉×#3282	1	1	yes	characteristic
766	C₂	C₂₉×#3287	1	1	yes	characteristic
767	C₂	C₂₉×#3301	1	1	yes	characteristic
768	C₂	C₂₉×#3305	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	C₂×C₂₉×#449	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₉ ◁ C₄×C₂²⋊C₄×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₄×SD₁₆×C₂₉	C₂	semidirect
3. C₂×C₂₉×#416	C₂	semidirect
4. C₂₉×#2363	C₂	semidirect
5. C₂₉×#2341	C₂	semidirect
6. C₂₉×#1970	C₂	semidirect
7. C₂₉×#1934	C₂	semidirect
8. C₂₉×#1926	C₂	semidirect
9. C₂₉×#1893	C₂	semidirect
10. C₂₉×#1880	C₂	semidirect
11. C₂₉×#1879	C₂	semidirect
12. C₂₉×#1863	C₂	semidirect
13. C₂₉×#1854	C₂	semidirect
14. C₄×C₂₉×#103	C₂	semidirect
15. C₈×C₂²⋊C₄×C₂₉	C₂	semidirect
25. C₂₉×#449	C₄	semidirect
67. C₂×#41×C₂₉	C₂×C₄	semidirect
128. C₂₉×#103	C₂×C₄	semidirect
129. C₂₉×#103	D₄	semidirect
134. C₂₉×#102	C₂×C₄	semidirect
135. C₂₉×C₂²⋊C₈	C₂×C₄	semidirect
246. #22877	C₂₉	direct (N × H)
333. C₂×C₄×SD₁₆	C₂×C₂₉	semidirect
334. C₂×#416	C₂×C₂₉	semidirect
335. #2363	C₂×C₂₉	semidirect
336. #2341	C₂×C₂₉	semidirect
337. #1970	C₂×C₂₉	semidirect
338. #1934	C₂×C₂₉	semidirect
339. #1926	C₂×C₂₉	semidirect
340. #1893	C₂×C₂₉	semidirect
341. #1880	C₂×C₂₉	semidirect
342. #1879	C₂×C₂₉	semidirect
343. #1863	C₂×C₂₉	semidirect
344. #1854	C₂×C₂₉	semidirect
345. C₄×#103	C₂×C₂₉	semidirect
346. C₈×C₂²⋊C₄	C₂×C₂₉	semidirect
399. #449	C₄×C₂₉	semidirect
451. C₂×#41	C₂×C₄×C₂₉	semidirect
512. #103	C₂×C₄×C₂₉	semidirect
513. #103	D₄×C₂₉	semidirect
518. #102	C₂×C₄×C₂₉	semidirect
519. C₂²⋊C₈	C₂×C₄×C₂₉	semidirect
527. C₂₉	#22877	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×#449	2
C₂×C₄×SD₁₆×C₂₉	2
C₂×C₂₉×#416	2
C₂₉×#2363	2
C₂₉×#2341	2
C₂₉×#1970	2
C₂₉×#1934	2
C₂₉×#1926	2
C₂₉×#1893	2
C₂₉×#1880	2
C₂₉×#1879	2
C₂₉×#1863	2
C₂₉×#1854	2
C₄×C₂₉×#103	2
C₈×C₂²⋊C₄×C₂₉	2
#22877	29

Subgroups — C29×#22877 #20317777

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#22877 #20317777