Subgroups — C₂₉×#9295 #20304195

Order 7424.

594 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3208	C₂	1	1	yes	maximal, characteristic
2	C₂₉×#2328	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#1995	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#1545	C₂	1	1	yes	maximal, characteristic
5	C₂₉×#1518	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#1286	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#1274	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#533	C₂²	1	1	yes	characteristic
9	C₂×C₂₉×#127	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₂₉	—	2	1	no	—
11	C₂₉×#492	C₄	1	2	yes	complemented
12	C₂₉×#486	C₄	1	2	yes	complemented
13	C₂₉×#460	—	2	2	no	—
14	C₂₉×#450	—	2	2	no	—
15	C₂₉×#431	C₂²	1	1	yes	characteristic
16	C₂₉×#431	C₂²	1	1	yes	characteristic
17	C₂₉×#423	C₂²	1	1	yes	characteristic
18	C₂₉×#390	—	2	1	no	—
19	C₂₉×#386	—	2	2	no	—
20	C₂₉×#386	—	2	2	no	—
21	C₂₉×#382	C₂²	1	1	yes	characteristic
22	C₂₉×#376	C₂²	1	1	yes	characteristic
23	C₂₉×#339	—	2	1	no	—
24	C₂₉×#339	—	2	1	no	—
25	C₂₉×#331	—	2	2	no	—
26	C₂₉×#328	—	2	2	no	—
27	C₂²×D₄×C₂₉	—	2	1	no	—
28	C₂²×D₄×C₂₉	—	2	1	no	—
29	C₂²×D₄×C₂₉	D₄	1	2	yes	—
30	C₂³×C₄×C₂₉	—	2	2	no	—
31	C₂×SD₁₆×C₂₉	—	2	4	no	—
32	C₂×M₁₆×C₂₉	—	2	1	no	—
33	C₂₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
34	C₂₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
35	C₂₉×#127	—	2	1	no	—
36	C₂₉×#127	—	2	1	no	—
37	C₂₉×#127	C₂×C₄	1	2	yes	—
38	C₂₉×#127	D₄	1	2	yes	—
39	C₂₉×#125	—	2	1	no	—
40	C₂₉×C₂²⋊Q₈	—	2	1	no	—
41	C₂₉×C₂²⋊Q₈	—	2	1	no	—
42	C₄×Q₈×C₂₉	—	2	1	no	—
43	C₄×Q₈×C₂₉	—	2	1	no	—
44	C₄×D₄×C₂₉	—	4	2	no	—
45	C₄×D₄×C₂₉	—	4	2	no	—
46	C₂₉×#117	—	2	1	no	—
47	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
48	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
49	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
50	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
51	C₂×C₄²×C₂₉	D₄	1	1	yes	characteristic
52	C₂×C₄²×C₂₉	D₄	1	1	yes	characteristic
53	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
54	C₂₉×C₄⋊C₈	—	2	1	no	—
55	C₂₉×C₄⋊C₈	—	2	1	no	—
56	C₂₉×C₄⋊C₈	—	2	1	no	—
57	C₂₉×C₄⋊C₈	—	2	1	no	—
58	C₂₉×#102	—	2	4	no	—
59	C₂₉×C₂²⋊C₈	—	2	1	no	—
60	C₂₉×C₂²⋊C₈	—	2	1	no	—
61	C₄×C₈×C₂₉	—	2	1	no	—
62	C₄×C₈×C₂₉	C₂×C₄	1	2	yes	complemented
63	C₂₉×#95	—	2	1	no	—
64	C₂₉×#95	—	2	1	no	—
65	C₂₉×#95	—	2	1	no	—
66	C₂₉×#95	D₄	1	2	yes	—
67	C₂⁴×C₂₉	—	2	2	no	—
68	C₂×Q₈×C₂₉	—	2	1	no	—
69	C₂×Q₈×C₂₉	—	2	1	no	—
70	C₂×D₄×C₂₉	—	2	2	no	—
71	C₂×D₄×C₂₉	—	2	2	no	—
72	C₂×D₄×C₂₉	—	2	2	no	—
73	C₂×D₄×C₂₉	—	2	2	no	—
74	C₂×D₄×C₂₉	—	2	2	no	—
75	C₂×D₄×C₂₉	—	4	1	no	—
76	C₂×D₄×C₂₉	—	4	1	no	—
77	C₂×D₄×C₂₉	—	4	1	no	—
78	C₂×D₄×C₂₉	—	4	1	no	—
79	C₂×D₄×C₂₉	—	8	2	no	—
80	C₂×D₄×C₂₉	—	8	2	no	—
81	C₂×D₄×C₂₉	C₂²⋊C₄	1	4	yes	—
82	C₂²×C₄×C₂₉	—	2	1	no	—
83	C₂²×C₄×C₂₉	—	2	1	no	—
84	C₂²×C₄×C₂₉	—	2	2	no	—
85	C₂²×C₄×C₂₉	—	4	4	no	—
86	C₂²×C₄×C₂₉	—	8	2	no	—
87	C₂²×C₄×C₂₉	—	8	2	no	—
88	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
91	SD₁₆×C₂₉	—	8	4	no	—
92	M₁₆×C₂₉	—	4	1	no	—
93	M₁₆×C₂₉	—	4	1	no	—
94	C₂×C₈×C₂₉	—	2	2	no	—
95	C₂×C₈×C₂₉	—	4	1	no	—
96	C₂×C₈×C₂₉	—	4	1	no	—
97	C₄⋊C₄×C₂₉	—	2	1	no	—
98	C₄⋊C₄×C₂₉	—	2	1	no	—
99	C₄⋊C₄×C₂₉	—	2	1	no	—
100	C₄⋊C₄×C₂₉	—	2	1	no	—
101	C₄⋊C₄×C₂₉	—	4	1	no	—
102	C₄⋊C₄×C₂₉	—	4	1	no	—
103	C₄⋊C₄×C₂₉	—	4	1	no	—
104	C₄⋊C₄×C₂₉	—	4	1	no	—
105	C₂²⋊C₄×C₂₉	—	4	4	no	—
106	C₂²⋊C₄×C₂₉	—	4	1	no	—
107	C₂²⋊C₄×C₂₉	—	8	2	no	—
108	C₂²⋊C₄×C₂₉	—	8	2	no	—
109	C₄²×C₂₉	—	2	1	no	—
110	C₄²×C₂₉	—	2	1	no	—
111	C₄²×C₂₉	—	2	1	no	—
112	C₄²×C₂₉	—	4	1	no	—
113	C₄²×C₂₉	SD₁₆	1	2	yes	complemented
114	C₄²×C₂₉	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₂₉	#41	1	1	yes	characteristic
117	C₄²×C₂₉	#41	1	1	yes	characteristic
118	#9295	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
119	C₂³×C₂₉	—	2	4	no	—
120	C₂³×C₂₉	—	4	2	no	—
121	C₂³×C₂₉	—	4	2	no	—
122	C₂³×C₂₉	—	4	2	no	—
123	C₂³×C₂₉	—	4	2	no	—
124	C₂³×C₂₉	—	4	2	no	—
125	C₂³×C₂₉	—	4	2	no	—
126	C₂³×C₂₉	#120	1	1	yes	characteristic
127	Q₈×C₂₉	—	4	2	no	—
128	Q₈×C₂₉	—	8	1	no	—
129	D₄×C₂₉	—	4	4	no	—
130	D₄×C₂₉	—	4	2	no	—
131	D₄×C₂₉	—	4	2	no	—
132	D₄×C₂₉	—	4	2	no	—
133	D₄×C₂₉	—	4	2	no	—
134	D₄×C₂₉	—	8	2	no	—
135	D₄×C₂₉	—	8	2	no	—
136	D₄×C₂₉	—	8	2	no	—
137	C₂×C₄×C₂₉	—	2	2	no	—
138	C₂×C₄×C₂₉	—	4	1	no	—
139	C₂×C₄×C₂₉	—	4	1	no	—
140	C₂×C₄×C₂₉	—	4	1	no	—
141	C₂×C₄×C₂₉	—	4	1	no	—
142	C₂×C₄×C₂₉	—	4	1	no	—
143	C₂×C₄×C₂₉	—	4	1	no	—
144	C₂×C₄×C₂₉	—	4	2	no	—
145	C₂×C₄×C₂₉	—	4	2	no	—
146	C₂×C₄×C₂₉	—	4	1	no	—
147	C₂×C₄×C₂₉	—	4	1	no	—
148	C₂×C₄×C₂₉	—	4	2	no	—
149	C₂×C₄×C₂₉	—	4	1	no	—
150	C₂×C₄×C₂₉	—	8	8	no	—
151	C₂×C₄×C₂₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
152	C₂×C₄×C₂₉	C₄×D₄	1	1	yes	characteristic
153	C₂×C₄×C₂₉	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₂₉	#121	1	1	yes	characteristic
155	C₂×C₄×C₂₉	#121	1	1	yes	characteristic
156	C₂×C₄×C₂₉	#123	1	1	yes	characteristic
157	C₂×C₄×C₂₉	C₂×SD₁₆	1	1	yes	characteristic
158	C₂×C₄×C₂₉	#135	1	1	yes	characteristic
159	C₂×C₄×C₂₉	AGL(1,ℤ/8)	1	1	yes	characteristic
160	C₂×C₄×C₂₉	#137	1	1	yes	characteristic
161	C₈×C₂₉	—	4	2	no	—
162	C₈×C₂₉	—	8	1	no	—
163	C₈×C₂₉	—	8	1	no	—
164	#3208	C₂×C₂₉	1	1	yes	characteristic
165	#2328	C₂×C₂₉	1	1	yes	characteristic
166	#1995	C₂×C₂₉	1	1	yes	characteristic, complemented
167	#1545	C₂×C₂₉	1	1	yes	characteristic
168	#1518	C₂×C₂₉	1	1	yes	characteristic, complemented
169	#1286	C₂×C₂₉	1	1	yes	characteristic, complemented
170	#1274	C₂×C₂₉	1	1	yes	characteristic, complemented
171	C₂²×C₂₉	—	2	1	no	—
172	C₂²×C₂₉	—	2	1	no	—
173	C₂²×C₂₉	—	4	4	no	—
174	C₂²×C₂₉	—	4	4	no	—
175	C₂²×C₂₉	—	4	4	no	—
176	C₂²×C₂₉	—	8	2	no	—
177	C₂²×C₂₉	—	8	2	no	—
178	C₂²×C₂₉	—	8	2	no	—
179	C₂²×C₂₉	—	8	2	no	—
180	C₂²×C₂₉	#386	1	1	yes	characteristic
181	C₂²×C₂₉	#450	1	1	yes	characteristic
182	C₂²×C₂₉	#452	1	1	yes	characteristic
183	C₄×C₂₉	—	2	1	no	—
184	C₄×C₂₉	—	2	1	no	—
185	C₄×C₂₉	—	2	1	no	—
186	C₄×C₂₉	—	2	1	no	—
187	C₄×C₂₉	—	4	2	no	—
188	C₄×C₂₉	—	8	1	no	—
189	C₄×C₂₉	—	8	2	no	—
190	C₄×C₂₉	—	8	1	no	—
191	C₄×C₂₉	—	8	1	no	—
192	C₄×C₂₉	C₄×SD₁₆	1	1	yes	characteristic
193	C₄×C₂₉	#440	1	1	yes	characteristic
194	C₄×C₂₉	#461	1	1	yes	characteristic
195	C₄×C₂₉	#463	1	1	yes	characteristic
196	#533	C₂²×C₂₉	1	1	yes	characteristic
197	C₂×#127	C₂²×C₂₉	1	1	yes	characteristic
198	C₂×C₄×D₄	—	2	1	no	—
199	#492	C₄×C₂₉	1	2	yes	complemented
200	#486	C₄×C₂₉	1	2	yes	complemented
201	#460	—	2	2	no	—
202	#450	—	2	2	no	—
203	#431	C₂²×C₂₉	1	1	yes	characteristic
204	#431	C₂²×C₂₉	1	1	yes	characteristic
205	#423	C₂²×C₂₉	1	1	yes	characteristic
206	#390	—	2	1	no	—
207	#386	—	2	2	no	—
208	#386	—	2	2	no	—
209	#382	C₂²×C₂₉	1	1	yes	characteristic
210	#376	C₂²×C₂₉	1	1	yes	characteristic
211	#339	—	2	1	no	—
212	#339	—	2	1	no	—
213	#331	—	2	2	no	—
214	#328	—	2	2	no	—
215	C₂×C₂₉	—	2	1	no	—
216	C₂×C₂₉	—	2	1	no	—
217	C₂×C₂₉	—	8	4	no	—
218	C₂×C₂₉	#1877	1	1	yes	characteristic
219	C₂×C₂₉	#1904	1	1	yes	characteristic
220	C₂×C₂₉	#1911	1	1	yes	characteristic
221	C₂²×D₄	—	2	1	no	—
222	C₂²×D₄	—	2	1	no	—
223	C₂²×D₄	D₄×C₂₉	1	2	yes	—
224	C₂³×C₄	—	2	2	no	—
225	C₂×SD₁₆	—	2	4	no	—
226	C₂×M₁₆	—	2	1	no	—
227	C₄⋊Q₈	C₂×C₄×C₂₉	1	1	yes	characteristic, complemented
228	C₄⋊Q₈	C₂×C₄×C₂₉	1	1	yes	characteristic, complemented
229	#127	—	2	1	no	—
230	#127	—	2	1	no	—
231	#127	C₂×C₄×C₂₉	1	2	yes	—
232	#127	D₄×C₂₉	1	2	yes	—
233	#125	—	2	1	no	—
234	C₂²⋊Q₈	—	2	1	no	—
235	C₂²⋊Q₈	—	2	1	no	—
236	C₄×Q₈	—	2	1	no	—
237	C₄×Q₈	—	2	1	no	—
238	C₄×D₄	—	4	2	no	—
239	C₄×D₄	—	4	2	no	—
240	#117	—	2	1	no	—
241	C₂×C₄⋊C₄	—	2	1	no	—
242	C₂×C₂²⋊C₄	—	2	2	no	—
243	C₂×C₂²⋊C₄	—	2	2	no	—
244	C₂×C₂²⋊C₄	—	2	2	no	—
245	C₂×C₄²	D₄×C₂₉	1	1	yes	characteristic
246	C₂×C₄²	D₄×C₂₉	1	1	yes	characteristic
247	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
248	C₄⋊C₈	—	2	1	no	—
249	C₄⋊C₈	—	2	1	no	—
250	C₄⋊C₈	—	2	1	no	—
251	C₄⋊C₈	—	2	1	no	—
252	#102	—	2	4	no	—
253	C₂²⋊C₈	—	2	1	no	—
254	C₂²⋊C₈	—	2	1	no	—
255	C₄×C₈	—	2	1	no	—
256	C₄×C₈	C₂×C₄×C₂₉	1	2	yes	complemented
257	#95	—	2	1	no	—
258	#95	—	2	1	no	—
259	#95	—	2	1	no	—
260	#95	D₄×C₂₉	1	2	yes	—
261	C₂₉	#9295	1	1	yes	characteristic, direct product factor, Sylow
262	C₂⁴	—	2	2	no	—
263	C₂×Q₈	—	2	1	no	—
264	C₂×Q₈	—	2	1	no	—
265	C₂×D₄	—	2	2	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	2	no	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	4	1	no	—
271	C₂×D₄	—	4	1	no	—
272	C₂×D₄	—	4	1	no	—
273	C₂×D₄	—	4	1	no	—
274	C₂×D₄	—	8	2	no	—
275	C₂×D₄	—	8	2	no	—
276	C₂×D₄	C₂²⋊C₄×C₂₉	1	4	yes	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	2	1	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	4	4	no	—
281	C₂²×C₄	—	8	2	no	—
282	C₂²×C₄	—	8	2	no	—
283	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
284	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
285	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
286	SD₁₆	—	8	4	no	—
287	M₁₆	—	4	1	no	—
288	M₁₆	—	4	1	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	4	1	no	—
291	C₂×C₈	—	4	1	no	—
292	C₄⋊C₄	—	2	1	no	—
293	C₄⋊C₄	—	2	1	no	—
294	C₄⋊C₄	—	2	1	no	—
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	4	1	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	—	4	1	no	—
300	C₂²⋊C₄	—	4	4	no	—
301	C₂²⋊C₄	—	4	1	no	—
302	C₂²⋊C₄	—	8	2	no	—
303	C₂²⋊C₄	—	8	2	no	—
304	C₄²	—	2	1	no	—
305	C₄²	—	2	1	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	4	1	no	—
308	C₄²	SD₁₆×C₂₉	1	2	yes	complemented
309	C₄²	C₂²×C₄×C₂₉	1	1	yes	characteristic
310	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
311	C₄²	#41×C₂₉	1	1	yes	characteristic
312	C₄²	#41×C₂₉	1	1	yes	characteristic
313	C₂³	—	2	4	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	2	no	—
316	C₂³	—	4	2	no	—
317	C₂³	—	4	2	no	—
318	C₂³	—	4	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	C₂₉×#120	1	1	yes	characteristic
321	Q₈	—	4	2	no	—
322	Q₈	—	8	1	no	—
323	D₄	—	4	4	no	—
324	D₄	—	4	2	no	—
325	D₄	—	4	2	no	—
326	D₄	—	4	2	no	—
327	D₄	—	4	2	no	—
328	D₄	—	8	2	no	—
329	D₄	—	8	2	no	—
330	D₄	—	8	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	8	8	no	—
345	C₂×C₄	C₂×C₂²⋊C₄×C₂₉	1	1	yes	characteristic
346	C₂×C₄	C₄×D₄×C₂₉	1	1	yes	characteristic
347	C₂×C₄	C₄×D₄×C₂₉	1	1	yes	characteristic
348	C₂×C₄	C₂₉×#121	1	1	yes	characteristic
349	C₂×C₄	C₂₉×#121	1	1	yes	characteristic
350	C₂×C₄	C₂₉×#123	1	1	yes	characteristic
351	C₂×C₄	C₂×SD₁₆×C₂₉	1	1	yes	characteristic
352	C₂×C₄	C₂₉×#135	1	1	yes	characteristic
353	C₂×C₄	C₂₉×AGL(1,ℤ/8)	1	1	yes	characteristic
354	C₂×C₄	C₂₉×#137	1	1	yes	characteristic
355	C₈	—	4	2	no	—
356	C₈	—	8	1	no	—
357	C₈	—	8	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	4	4	no	—
361	C₂²	—	4	4	no	—
362	C₂²	—	4	4	no	—
363	C₂²	—	8	2	no	—
364	C₂²	—	8	2	no	—
365	C₂²	—	8	2	no	—
366	C₂²	—	8	2	no	—
367	C₂²	C₂₉×#386	1	1	yes	characteristic
368	C₂²	C₂₉×#450	1	1	yes	characteristic
369	C₂²	C₂₉×#452	1	1	yes	characteristic
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	4	2	no	—
375	C₄	—	8	2	no	—
376	C₄	—	8	1	no	—
377	C₄	—	8	1	no	—
378	C₄	—	8	1	no	—
379	C₄	C₄×SD₁₆×C₂₉	1	1	yes	characteristic
380	C₄	C₂₉×#440	1	1	yes	characteristic
381	C₄	C₂₉×#461	1	1	yes	characteristic
382	C₄	C₂₉×#463	1	1	yes	characteristic
383	C₂	—	2	1	no	—
384	C₂	—	2	1	no	—
385	C₂	—	8	4	no	—
386	C₂	C₂₉×#1877	1	1	yes	characteristic
387	C₂	C₂₉×#1904	1	1	yes	characteristic
388	C₂	C₂₉×#1911	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	#386
commutator	C₄²	C₂²×C₄×C₂₉
Frattini, cosocle	C₂×C₄²	C₂³×C₂₉
prime radical	C₂×C₂₉×#127	C₂²
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ C₂×C₄²×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂₉×#1995	C₂	semidirect
5. C₂₉×#1518	C₂	semidirect
6. C₂₉×#1286	C₂	semidirect
7. C₂₉×#1274	C₂	semidirect
11. C₂₉×#492	C₄	semidirect
12. C₂₉×#486	C₄	semidirect
33. C₂₉×C₄⋊Q₈	C₂×C₄	semidirect
34. C₂₉×C₄⋊Q₈	C₂×C₄	semidirect
62. C₄×C₈×C₂₉	C₂×C₄	semidirect
113. C₄²×C₂₉	SD₁₆	semidirect
118. #9295	C₂₉	direct (N × H)
166. #1995	C₂×C₂₉	semidirect
168. #1518	C₂×C₂₉	semidirect
169. #1286	C₂×C₂₉	semidirect
170. #1274	C₂×C₂₉	semidirect
199. #492	C₄×C₂₉	semidirect
200. #486	C₄×C₂₉	semidirect
227. C₄⋊Q₈	C₂×C₄×C₂₉	semidirect
228. C₄⋊Q₈	C₂×C₄×C₂₉	semidirect
256. C₄×C₈	C₂×C₄×C₂₉	semidirect
261. C₂₉	#9295	direct (N × H)
308. C₄²	SD₁₆×C₂₉	semidirect

Maximal subgroups

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

subgroup	index
C₂₉×#3208	2
C₂₉×#2328	2
C₂₉×#1995	2
C₂₉×#1545	2
C₂₉×#1518	2
C₂₉×#1286	2
C₂₉×#1274	2
#9295	29

Subgroups — C29×#9295 #20304195

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#9295 #20304195