Subgroups — C₂₉×#18704 #20313604

Order 7424.

972 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3251	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3214	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3169	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#1650	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#1647	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#1642	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#1639	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂₉×#1628	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂₉×#1625	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂₉×#1621	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#1619	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#1557	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#1494	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#1492	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#560	—	2	2	no	—
17	C₂₉×#556	C₂²	1	1	yes	characteristic
18	C₂₉×#553	—	2	1	no	—
19	C₂₉×#550	—	2	1	no	—
20	C₂₉×#550	C₂²	1	1	yes	characteristic
21	C₂₉×#547	C₂²	1	1	yes	characteristic
22	C₂₉×#546	—	2	1	no	—
23	C₂₉×#546	—	2	1	no	—
24	D₄²×C₂₉	C₂²	1	1	yes	characteristic
25	C₂₉×#542	—	2	1	no	—
26	C₂₉×#538	—	2	2	no	—
27	C₂₉×#537	—	2	1	no	—
28	C₂₉×#535	—	2	1	no	—
29	C₂₉×#535	—	2	1	no	—
30	C₂₉×#532	C₂²	1	1	yes	characteristic
31	C₂₉×#532	C₂²	1	1	yes	characteristic
32	C₂₉×#532	C₂²	1	1	yes	characteristic, complemented
33	C₂₉×#529	C₂²	1	1	yes	characteristic
34	C₂₉×#500	C₂²	1	1	yes	characteristic, complemented
35	C₂₉×#496	—	2	1	no	—
36	C₂₉×#493	C₂²	1	1	yes	characteristic
37	C₂₉×#489	—	2	1	no	—
38	C₂₉×#486	C₂²	1	1	yes	characteristic
39	C₂₉×#486	C₂²	1	1	yes	characteristic, complemented
40	C₂₉×#478	—	2	1	no	—
41	C₂₉×#475	C₂²	1	1	yes	characteristic, complemented
42	C₂₉×#474	C₂²	1	1	yes	characteristic
43	C₂₉×#469	—	2	1	no	—
44	C₂₉×#468	—	2	1	no	—
45	C₂₉×#466	—	2	2	no	—
46	C₂₉×#463	—	2	1	no	—
47	C₂₉×#461	C₂²	1	1	yes	characteristic
48	C₂₉×#461	C₂²	1	1	yes	characteristic, complemented
49	C₂₉×#460	C₂²	1	1	yes	characteristic, complemented
50	C₂₉×#459	C₂²	1	1	yes	characteristic
51	C₂₉×#459	C₂²	1	1	yes	characteristic
52	C₂₉×#459	C₂²	1	1	yes	characteristic, complemented
53	C₂₉×#449	—	2	1	no	—
54	C₂₉×#449	—	2	1	no	—
55	C₄×D₈×C₂₉	—	2	2	no	—
56	C₂₉×#432	C₂²	1	1	yes	characteristic, complemented
57	C₂₉×#423	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic, complemented
59	C₂₉×#332	C₂²	1	1	yes	characteristic, complemented
60	C₂₉×#332	C₂²	1	1	yes	characteristic, complemented
61	C₂₉×#331	C₂²	1	1	yes	characteristic
62	C₂₉×#331	C₂²	1	1	yes	characteristic
63	C₂₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
64	C₂₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
65	C₂₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
66	C₂₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₂₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
68	C₂₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
69	C₂₉×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
70	C₂₉×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
71	C₂×#41×C₂₉	—	2	1	no	—
72	C₂×#41×C₂₉	—	2	1	no	—
73	C₂×#41×C₂₉	—	2	1	no	—
74	C₂×#41×C₂₉	—	2	1	no	—
75	C₂×#41×C₂₉	—	2	1	no	—
76	C₂²×D₄×C₂₉	—	2	1	no	—
77	C₂²×D₄×C₂₉	—	2	1	no	—
78	C₂×SD₁₆×C₂₉	—	2	1	no	—
79	C₂×SD₁₆×C₂₉	—	2	1	no	—
80	C₂×SD₁₆×C₂₉	—	2	1	no	—
81	C₂×D₈×C₂₉	—	2	2	no	—
82	C₂×D₈×C₂₉	—	2	1	no	—
83	C₂×D₈×C₂₉	—	2	1	no	—
84	C₂×D₈×C₂₉	—	2	1	no	—
85	C₂×M₁₆×C₂₉	—	2	1	no	—
86	C₂²×C₈×C₂₉	—	2	1	no	—
87	C₂₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
88	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
89	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
90	C₂₉×#127	—	2	2	no	—
91	C₂₉×#127	—	2	1	no	—
92	C₂₉×#127	D₄	1	1	yes	characteristic
93	C₂₉×#127	C₂³	1	1	yes	characteristic
94	C₂₉×#127	C₂³	1	1	yes	characteristic
95	C₂₉×#126	—	2	2	no	—
96	C₂₉×#126	—	2	2	no	—
97	C₂₉×#126	—	2	1	no	—
98	C₂₉×#125	D₄	1	1	yes	characteristic
99	C₂₉×#124	—	2	2	no	—
100	C₂₉×#124	—	2	1	no	—
101	C₂₉×#124	—	2	1	no	—
102	C₂₉×#124	—	2	1	no	—
103	C₂₉×#124	—	2	1	no	—
104	C₂₉×#124	D₄	1	1	yes	characteristic
105	C₂₉×#123	—	2	2	no	—
106	C₂₉×#123	—	2	2	no	—
107	C₂₉×#123	—	2	1	no	—
108	C₂₉×#123	—	2	2	no	—
109	C₂₉×C₂²⋊Q₈	—	2	2	no	—
110	C₂₉×C₂²⋊Q₈	—	2	1	no	—
111	C₂₉×C₂²⋊Q₈	—	2	1	no	—
112	C₂₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
113	C₂₉×#121	—	2	2	no	—
114	C₂₉×#121	—	2	2	no	—
115	C₂₉×#121	—	2	2	no	—
116	C₂₉×#121	—	2	2	no	—
117	C₂₉×#121	—	2	2	no	—
118	C₂₉×#121	—	2	1	no	—
119	C₂₉×#121	—	2	2	no	—
120	C₂₉×#121	—	2	1	no	—
121	C₂₉×#121	—	2	1	no	—
122	C₂₉×#121	—	2	1	no	—
123	C₂₉×#121	—	2	1	no	—
124	C₂₉×#121	—	2	1	no	—
125	C₂₉×#121	—	2	1	no	—
126	C₂₉×#121	—	2	1	no	—
127	C₂₉×#121	D₄	1	1	yes	characteristic
128	C₂₉×#121	D₄	1	1	yes	characteristic
129	C₂₉×#121	D₄	1	2	yes	—
130	C₂₉×#121	D₄	1	1	yes	characteristic
131	C₂₉×#120	—	2	2	no	—
132	C₂₉×#120	—	2	2	no	—
133	C₂₉×#120	—	2	2	no	—
134	C₂₉×#120	—	2	2	no	—
135	C₄×Q₈×C₂₉	—	2	1	no	—
136	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
137	C₄×D₄×C₂₉	—	2	2	no	—
138	C₄×D₄×C₂₉	—	2	1	no	—
139	C₄×D₄×C₂₉	—	2	1	no	—
140	C₄×D₄×C₂₉	—	2	1	no	—
141	C₄×D₄×C₂₉	—	2	1	no	—
142	C₄×D₄×C₂₉	—	2	1	no	—
143	C₄×D₄×C₂₉	—	2	1	no	—
144	C₄×D₄×C₂₉	D₄	1	2	yes	—
145	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
146	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
147	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
148	C₂₉×#117	—	2	1	no	—
149	C₂₉×#117	—	2	1	no	—
150	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
151	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
152	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
153	C₂₉×#107	—	2	2	no	—
154	C₂₉×#107	—	2	1	no	—
155	C₂₉×#106	—	2	1	no	—
156	C₂₉×C₄⋊C₈	—	2	1	no	—
157	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
158	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
159	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
160	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
161	C₂₉×#103	—	2	1	no	—
162	C₂₉×#103	—	2	1	no	—
163	C₂₉×#103	—	2	1	no	—
164	C₂₉×#102	—	2	2	no	—
165	C₂₉×#102	—	2	1	no	—
166	C₂₉×#102	—	2	2	no	—
167	C₂₉×#102	—	2	1	no	—
168	C₂₉×#102	—	2	1	no	—
169	C₂₉×#102	—	2	1	no	—
170	C₂₉×#102	—	2	1	no	—
171	C₂₉×C₂²⋊C₈	—	2	1	no	—
172	C₂₉×#97	—	2	1	no	—
173	C₄×C₈×C₂₉	—	2	1	no	—
174	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
175	C₄×C₈×C₂₉	C₂³	1	1	yes	characteristic
176	C₂⁴×C₂₉	—	2	2	no	—
177	#41×C₂₉	—	8	1	no	—
178	#41×C₂₉	—	8	1	no	—
179	#41×C₂₉	—	8	1	no	—
180	#41×C₂₉	—	8	1	no	—
181	#41×C₂₉	—	8	1	no	—
182	#41×C₂₉	—	8	1	no	—
183	#41×C₂₉	—	8	1	no	—
184	#41×C₂₉	—	8	1	no	—
185	#41×C₂₉	—	8	1	no	—
186	#41×C₂₉	—	8	1	no	—
187	C₂×Q₈×C₂₉	—	2	1	no	—
188	C₂×Q₈×C₂₉	—	2	1	no	—
189	C₂×Q₈×C₂₉	—	2	1	no	—
190	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
191	C₂×D₄×C₂₉	—	2	2	no	—
192	C₂×D₄×C₂₉	—	2	2	no	—
193	C₂×D₄×C₂₉	—	2	2	no	—
194	C₂×D₄×C₂₉	—	2	2	no	—
195	C₂×D₄×C₂₉	—	2	2	no	—
196	C₂×D₄×C₂₉	—	2	1	no	—
197	C₂×D₄×C₂₉	—	2	1	no	—
198	C₂×D₄×C₂₉	—	2	2	no	—
199	C₂×D₄×C₂₉	—	2	1	no	—
200	C₂×D₄×C₂₉	—	2	1	no	—
201	C₂×D₄×C₂₉	—	2	1	no	—
202	C₂×D₄×C₂₉	—	2	1	no	—
203	C₂×D₄×C₂₉	—	2	1	no	—
204	C₂×D₄×C₂₉	—	2	1	no	—
205	C₂×D₄×C₂₉	—	2	1	no	—
206	C₂×D₄×C₂₉	—	2	1	no	—
207	C₂×D₄×C₂₉	—	4	1	no	—
208	C₂×D₄×C₂₉	—	8	1	no	—
209	C₂×D₄×C₂₉	—	8	1	no	—
210	C₂×D₄×C₂₉	—	8	1	no	—
211	C₂×D₄×C₂₉	—	8	1	no	—
212	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
213	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
214	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
215	C₂×D₄×C₂₉	C₂×D₄	1	2	yes	—
216	C₂²×C₄×C₂₉	—	2	2	no	—
217	C₂²×C₄×C₂₉	—	2	2	no	—
218	C₂²×C₄×C₂₉	—	2	1	no	—
219	C₂²×C₄×C₂₉	—	2	1	no	—
220	C₂²×C₄×C₂₉	—	2	1	no	—
221	C₂²×C₄×C₂₉	—	2	2	no	—
222	C₂²×C₄×C₂₉	—	4	1	no	—
223	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
225	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
226	SD₁₆×C₂₉	—	8	1	no	—
227	SD₁₆×C₂₉	—	8	1	no	—
228	SD₁₆×C₂₉	—	8	1	no	—
229	D₈×C₂₉	—	4	4	no	—
230	D₈×C₂₉	—	8	1	no	—
231	D₈×C₂₉	—	8	1	no	—
232	D₈×C₂₉	—	8	1	no	—
233	M₁₆×C₂₉	—	8	1	no	—
234	C₂×C₈×C₂₉	—	2	1	no	—
235	C₂×C₈×C₂₉	—	2	1	no	—
236	C₂×C₈×C₂₉	—	2	1	no	—
237	C₂×C₈×C₂₉	—	2	1	no	—
238	C₂×C₈×C₂₉	—	2	1	no	—
239	C₂×C₈×C₂₉	—	2	1	no	—
240	C₂×C₈×C₂₉	—	4	2	no	—
241	C₄⋊C₄×C₂₉	—	2	2	no	—
242	C₄⋊C₄×C₂₉	—	2	2	no	—
243	C₄⋊C₄×C₂₉	—	2	1	no	—
244	C₄⋊C₄×C₂₉	—	2	1	no	—
245	C₄⋊C₄×C₂₉	—	2	1	no	—
246	C₄⋊C₄×C₂₉	—	2	1	no	—
247	C₄⋊C₄×C₂₉	—	2	1	no	—
248	C₄⋊C₄×C₂₉	—	2	1	no	—
249	C₄⋊C₄×C₂₉	—	2	1	no	—
250	C₄⋊C₄×C₂₉	—	2	1	no	—
251	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
252	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
253	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
254	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
255	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
256	C₂²⋊C₄×C₂₉	—	2	2	no	—
257	C₂²⋊C₄×C₂₉	—	2	2	no	—
258	C₂²⋊C₄×C₂₉	—	2	2	no	—
259	C₂²⋊C₄×C₂₉	—	2	2	no	—
260	C₂²⋊C₄×C₂₉	—	2	2	no	—
261	C₂²⋊C₄×C₂₉	—	2	1	no	—
262	C₂²⋊C₄×C₂₉	—	2	1	no	—
263	C₂²⋊C₄×C₂₉	—	2	1	no	—
264	C₂²⋊C₄×C₂₉	—	2	1	no	—
265	C₂²⋊C₄×C₂₉	—	2	1	no	—
266	C₂²⋊C₄×C₂₉	—	2	1	no	—
267	C₂²⋊C₄×C₂₉	—	2	2	no	—
268	C₂²⋊C₄×C₂₉	—	2	2	no	—
269	C₂²⋊C₄×C₂₉	—	2	1	no	—
270	C₂²⋊C₄×C₂₉	—	2	1	no	—
271	C₂²⋊C₄×C₂₉	—	2	1	no	—
272	C₂²⋊C₄×C₂₉	—	4	1	no	—
273	C₂²⋊C₄×C₂₉	—	4	1	no	—
274	C₄²×C₂₉	—	2	2	no	—
275	C₄²×C₂₉	—	2	1	no	—
276	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
277	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
278	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
279	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
280	#18704	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂³×C₂₉	—	2	1	no	—
282	C₂³×C₂₉	—	2	1	no	—
283	C₂³×C₂₉	—	2	2	no	—
284	C₂³×C₂₉	—	2	1	no	—
285	C₂³×C₂₉	—	4	1	no	—
286	C₂³×C₂₉	—	8	2	no	—
287	C₂³×C₂₉	—	8	2	no	—
288	C₂³×C₂₉	—	8	2	no	—
289	C₂³×C₂₉	#120	1	1	yes	characteristic
290	Q₈×C₂₉	—	2	1	no	—
291	Q₈×C₂₉	—	2	1	no	—
292	Q₈×C₂₉	—	4	1	no	—
293	Q₈×C₂₉	—	4	1	no	—
294	Q₈×C₂₉	—	4	1	no	—
295	Q₈×C₂₉	—	4	1	no	—
296	Q₈×C₂₉	—	8	1	no	—
297	D₄×C₂₉	—	2	1	no	—
298	D₄×C₂₉	—	2	1	no	—
299	D₄×C₂₉	—	2	1	no	—
300	D₄×C₂₉	—	2	1	no	—
301	D₄×C₂₉	—	2	1	no	—
302	D₄×C₂₉	—	2	1	no	—
303	D₄×C₂₉	—	4	2	no	—
304	D₄×C₂₉	—	4	2	no	—
305	D₄×C₂₉	—	4	1	no	—
306	D₄×C₂₉	—	4	1	no	—
307	D₄×C₂₉	—	4	1	no	—
308	D₄×C₂₉	—	4	1	no	—
309	D₄×C₂₉	—	4	1	no	—
310	D₄×C₂₉	—	4	1	no	—
311	D₄×C₂₉	—	4	1	no	—
312	D₄×C₂₉	—	4	1	no	—
313	D₄×C₂₉	—	8	1	no	—
314	D₄×C₂₉	—	8	1	no	—
315	D₄×C₂₉	—	8	1	no	—
316	D₄×C₂₉	—	8	2	no	—
317	D₄×C₂₉	—	8	1	no	—
318	D₄×C₂₉	—	8	1	no	—
319	D₄×C₂₉	—	8	2	no	—
320	D₄×C₂₉	—	8	2	no	—
321	D₄×C₂₉	—	8	2	no	—
322	D₄×C₂₉	—	8	2	no	—
323	D₄×C₂₉	—	8	2	no	—
324	D₄×C₂₉	—	8	2	no	—
325	C₂×C₄×C₂₉	—	2	1	no	—
326	C₂×C₄×C₂₉	—	2	1	no	—
327	C₂×C₄×C₂₉	—	2	1	no	—
328	C₂×C₄×C₂₉	—	2	1	no	—
329	C₂×C₄×C₂₉	—	2	1	no	—
330	C₂×C₄×C₂₉	—	2	1	no	—
331	C₂×C₄×C₂₉	—	2	1	no	—
332	C₂×C₄×C₂₉	—	2	2	no	—
333	C₂×C₄×C₂₉	—	2	1	no	—
334	C₂×C₄×C₂₉	—	2	1	no	—
335	C₂×C₄×C₂₉	—	4	1	no	—
336	C₂×C₄×C₂₉	—	4	1	no	—
337	C₂×C₄×C₂₉	—	4	1	no	—
338	C₂×C₄×C₂₉	—	4	1	no	—
339	C₂×C₄×C₂₉	—	4	1	no	—
340	C₂×C₄×C₂₉	—	4	1	no	—
341	C₂×C₄×C₂₉	—	4	1	no	—
342	C₂×C₄×C₂₉	—	4	1	no	—
343	C₂×C₄×C₂₉	—	8	2	no	—
344	C₂×C₄×C₂₉	—	8	2	no	—
345	C₂×C₄×C₂₉	—	8	2	no	—
346	C₂×C₄×C₂₉	—	8	2	no	—
347	C₂×C₄×C₂₉	#120	1	1	yes	characteristic
348	C₂×C₄×C₂₉	#120	1	1	yes	characteristic
349	C₂×C₄×C₂₉	#120	1	1	yes	characteristic
350	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
351	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
352	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
353	C₈×C₂₉	—	2	2	no	—
354	C₈×C₂₉	—	4	1	no	—
355	C₈×C₂₉	—	4	1	no	—
356	C₈×C₂₉	—	4	1	no	—
357	C₈×C₂₉	—	4	1	no	—
358	C₈×C₂₉	—	4	1	no	—
359	#3546	C₂×C₂₉	1	1	yes	characteristic, complemented
360	#3251	C₂×C₂₉	1	1	yes	characteristic, complemented
361	#3214	C₂×C₂₉	1	1	yes	characteristic, complemented
362	#3169	C₂×C₂₉	1	1	yes	characteristic, complemented
363	#1650	C₂×C₂₉	1	1	yes	characteristic, complemented
364	#1647	C₂×C₂₉	1	1	yes	characteristic, complemented
365	#1642	C₂×C₂₉	1	1	yes	characteristic, complemented
366	#1639	C₂×C₂₉	1	1	yes	characteristic, complemented
367	#1628	C₂×C₂₉	1	1	yes	characteristic, complemented
368	#1625	C₂×C₂₉	1	1	yes	characteristic, complemented
369	#1621	C₂×C₂₉	1	1	yes	characteristic, complemented
370	#1619	C₂×C₂₉	1	1	yes	characteristic, complemented
371	#1557	C₂×C₂₉	1	1	yes	characteristic, complemented
372	#1494	C₂×C₂₉	1	1	yes	characteristic, complemented
373	#1492	C₂×C₂₉	1	1	yes	characteristic, complemented
374	C₂²×C₂₉	—	2	1	no	—
375	C₂²×C₂₉	—	2	1	no	—
376	C₂²×C₂₉	—	2	1	no	—
377	C₂²×C₂₉	—	4	1	no	—
378	C₂²×C₂₉	—	4	1	no	—
379	C₂²×C₂₉	—	4	2	no	—
380	C₂²×C₂₉	—	4	1	no	—
381	C₂²×C₂₉	—	4	1	no	—
382	C₂²×C₂₉	—	4	1	no	—
383	C₂²×C₂₉	—	4	2	no	—
384	C₂²×C₂₉	—	4	1	no	—
385	C₂²×C₂₉	—	4	2	no	—
386	C₂²×C₂₉	—	4	1	no	—
387	C₂²×C₂₉	—	4	1	no	—
388	C₂²×C₂₉	—	4	1	no	—
389	C₂²×C₂₉	—	8	1	no	—
390	C₂²×C₂₉	—	8	1	no	—
391	C₂²×C₂₉	—	8	1	no	—
392	C₂²×C₂₉	—	16	4	no	—
393	C₂²×C₂₉	C₂×#120	1	1	yes	characteristic
394	C₄×C₂₉	—	2	1	no	—
395	C₄×C₂₉	—	2	1	no	—
396	C₄×C₂₉	—	2	1	no	—
397	C₄×C₂₉	—	2	1	no	—
398	C₄×C₂₉	—	4	1	no	—
399	C₄×C₂₉	—	4	2	no	—
400	C₄×C₂₉	—	4	1	no	—
401	C₄×C₂₉	—	4	1	no	—
402	C₄×C₂₉	—	4	1	no	—
403	C₄×C₂₉	—	4	1	no	—
404	C₄×C₂₉	—	8	1	no	—
405	C₄×C₂₉	#576	1	1	yes	characteristic
406	C₄×C₂₉	#576	1	1	yes	characteristic
407	C₄×C₂₉	#576	1	1	yes	characteristic
408	C₄×C₂₉	#577	1	1	yes	characteristic
409	#560	—	2	2	no	—
410	#556	C₂²×C₂₉	1	1	yes	characteristic
411	#553	—	2	1	no	—
412	#550	—	2	1	no	—
413	#550	C₂²×C₂₉	1	1	yes	characteristic
414	#547	C₂²×C₂₉	1	1	yes	characteristic
415	#546	—	2	1	no	—
416	#546	—	2	1	no	—
417	D₄²	C₂²×C₂₉	1	1	yes	characteristic
418	#542	—	2	1	no	—
419	#538	—	2	2	no	—
420	#537	—	2	1	no	—
421	#535	—	2	1	no	—
422	#535	—	2	1	no	—
423	#532	C₂²×C₂₉	1	1	yes	characteristic
424	#532	C₂²×C₂₉	1	1	yes	characteristic
425	#532	C₂²×C₂₉	1	1	yes	characteristic, complemented
426	#529	C₂²×C₂₉	1	1	yes	characteristic
427	#500	C₂²×C₂₉	1	1	yes	characteristic, complemented
428	#496	—	2	1	no	—
429	#493	C₂²×C₂₉	1	1	yes	characteristic
430	#489	—	2	1	no	—
431	#486	C₂²×C₂₉	1	1	yes	characteristic
432	#486	C₂²×C₂₉	1	1	yes	characteristic, complemented
433	#478	—	2	1	no	—
434	#475	C₂²×C₂₉	1	1	yes	characteristic, complemented
435	#474	C₂²×C₂₉	1	1	yes	characteristic
436	#469	—	2	1	no	—
437	#468	—	2	1	no	—
438	#466	—	2	2	no	—
439	#463	—	2	1	no	—
440	#461	C₂²×C₂₉	1	1	yes	characteristic
441	#461	C₂²×C₂₉	1	1	yes	characteristic, complemented
442	#460	C₂²×C₂₉	1	1	yes	characteristic, complemented
443	#459	C₂²×C₂₉	1	1	yes	characteristic
444	#459	C₂²×C₂₉	1	1	yes	characteristic
445	#459	C₂²×C₂₉	1	1	yes	characteristic, complemented
446	#449	—	2	1	no	—
447	#449	—	2	1	no	—
448	C₄×D₈	—	2	2	no	—
449	#432	C₂²×C₂₉	1	1	yes	characteristic, complemented
450	#423	C₂²×C₂₉	1	1	yes	characteristic, complemented
451	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
452	#332	C₂²×C₂₉	1	1	yes	characteristic, complemented
453	#332	C₂²×C₂₉	1	1	yes	characteristic, complemented
454	#331	C₂²×C₂₉	1	1	yes	characteristic
455	#331	C₂²×C₂₉	1	1	yes	characteristic
456	Q₈⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
457	Q₈⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
458	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
459	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
460	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
461	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
462	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
463	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
464	C₂×C₂₉	—	4	1	no	—
465	C₂×C₂₉	—	8	1	no	—
466	C₂×C₂₉	—	8	2	no	—
467	C₂×C₂₉	—	8	1	no	—
468	C₂×C₂₉	—	8	1	no	—
469	C₂×C₂₉	—	16	1	no	—
470	C₂×C₂₉	#3008	1	1	yes	characteristic
471	C₂×C₂₉	#3012	1	1	yes	characteristic
472	C₂×C₂₉	#3018	1	1	yes	characteristic
473	C₂×#41	—	2	1	no	—
474	C₂×#41	—	2	1	no	—
475	C₂×#41	—	2	1	no	—
476	C₂×#41	—	2	1	no	—
477	C₂×#41	—	2	1	no	—
478	C₂²×D₄	—	2	1	no	—
479	C₂²×D₄	—	2	1	no	—
480	C₂×SD₁₆	—	2	1	no	—
481	C₂×SD₁₆	—	2	1	no	—
482	C₂×SD₁₆	—	2	1	no	—
483	C₂×D₈	—	2	2	no	—
484	C₂×D₈	—	2	1	no	—
485	C₂×D₈	—	2	1	no	—
486	C₂×D₈	—	2	1	no	—
487	C₂×M₁₆	—	2	1	no	—
488	C₂²×C₈	—	2	1	no	—
489	C₄⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
490	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
491	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
492	#127	—	2	2	no	—
493	#127	—	2	1	no	—
494	#127	D₄×C₂₉	1	1	yes	characteristic
495	#127	C₂³×C₂₉	1	1	yes	characteristic
496	#127	C₂³×C₂₉	1	1	yes	characteristic
497	#126	—	2	2	no	—
498	#126	—	2	2	no	—
499	#126	—	2	1	no	—
500	#125	D₄×C₂₉	1	1	yes	characteristic
501	#124	—	2	2	no	—
502	#124	—	2	1	no	—
503	#124	—	2	1	no	—
504	#124	—	2	1	no	—
505	#124	—	2	1	no	—
506	#124	D₄×C₂₉	1	1	yes	characteristic
507	#123	—	2	2	no	—
508	#123	—	2	2	no	—
509	#123	—	2	1	no	—
510	#123	—	2	2	no	—
511	C₂²⋊Q₈	—	2	2	no	—
512	C₂²⋊Q₈	—	2	1	no	—
513	C₂²⋊Q₈	—	2	1	no	—
514	C₂²⋊Q₈	D₄×C₂₉	1	1	yes	characteristic
515	#121	—	2	2	no	—
516	#121	—	2	2	no	—
517	#121	—	2	2	no	—
518	#121	—	2	2	no	—
519	#121	—	2	2	no	—
520	#121	—	2	1	no	—
521	#121	—	2	2	no	—
522	#121	—	2	1	no	—
523	#121	—	2	1	no	—
524	#121	—	2	1	no	—
525	#121	—	2	1	no	—
526	#121	—	2	1	no	—
527	#121	—	2	1	no	—
528	#121	—	2	1	no	—
529	#121	D₄×C₂₉	1	1	yes	characteristic
530	#121	D₄×C₂₉	1	1	yes	characteristic
531	#121	D₄×C₂₉	1	1	yes	characteristic
532	#121	D₄×C₂₉	1	2	yes	—
533	#120	—	2	2	no	—
534	#120	—	2	2	no	—
535	#120	—	2	2	no	—
536	#120	—	2	2	no	—
537	C₄×Q₈	—	2	1	no	—
538	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
539	C₄×D₄	—	2	2	no	—
540	C₄×D₄	—	2	1	no	—
541	C₄×D₄	—	2	1	no	—
542	C₄×D₄	—	2	1	no	—
543	C₄×D₄	—	2	1	no	—
544	C₄×D₄	—	2	1	no	—
545	C₄×D₄	—	2	1	no	—
546	C₄×D₄	D₄×C₂₉	1	2	yes	—
547	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
548	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
549	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
550	#117	—	2	1	no	—
551	#117	—	2	1	no	—
552	C₂×C₄⋊C₄	—	2	1	no	—
553	C₂×C₂²⋊C₄	—	2	2	no	—
554	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
555	#107	—	2	2	no	—
556	#107	—	2	1	no	—
557	#106	—	2	1	no	—
558	C₄⋊C₈	—	2	1	no	—
559	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
560	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
561	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
562	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
563	#103	—	2	1	no	—
564	#103	—	2	1	no	—
565	#103	—	2	1	no	—
566	#102	—	2	2	no	—
567	#102	—	2	1	no	—
568	#102	—	2	2	no	—
569	#102	—	2	1	no	—
570	#102	—	2	1	no	—
571	#102	—	2	1	no	—
572	#102	—	2	1	no	—
573	C₂²⋊C₈	—	2	1	no	—
574	#97	—	2	1	no	—
575	C₄×C₈	—	2	1	no	—
576	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
577	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
578	C₂₉	#18704	1	1	yes	characteristic, direct product factor, Sylow
579	C₂⁴	—	2	2	no	—
580	#41	—	8	1	no	—
581	#41	—	8	1	no	—
582	#41	—	8	1	no	—
583	#41	—	8	1	no	—
584	#41	—	8	1	no	—
585	#41	—	8	1	no	—
586	#41	—	8	1	no	—
587	#41	—	8	1	no	—
588	#41	—	8	1	no	—
589	#41	—	8	1	no	—
590	C₂×Q₈	—	2	1	no	—
591	C₂×Q₈	—	2	1	no	—
592	C₂×Q₈	—	2	1	no	—
593	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
594	C₂×D₄	—	2	2	no	—
595	C₂×D₄	—	2	2	no	—
596	C₂×D₄	—	2	2	no	—
597	C₂×D₄	—	2	2	no	—
598	C₂×D₄	—	2	2	no	—
599	C₂×D₄	—	2	1	no	—
600	C₂×D₄	—	2	1	no	—
601	C₂×D₄	—	2	2	no	—
602	C₂×D₄	—	2	1	no	—
603	C₂×D₄	—	2	1	no	—
604	C₂×D₄	—	2	1	no	—
605	C₂×D₄	—	2	1	no	—
606	C₂×D₄	—	2	1	no	—
607	C₂×D₄	—	2	1	no	—
608	C₂×D₄	—	2	1	no	—
609	C₂×D₄	—	2	1	no	—
610	C₂×D₄	—	4	1	no	—
611	C₂×D₄	—	8	1	no	—
612	C₂×D₄	—	8	1	no	—
613	C₂×D₄	—	8	1	no	—
614	C₂×D₄	—	8	1	no	—
615	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
616	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
617	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
618	C₂×D₄	C₂×D₄×C₂₉	1	2	yes	—
619	C₂²×C₄	—	2	2	no	—
620	C₂²×C₄	—	2	2	no	—
621	C₂²×C₄	—	2	1	no	—
622	C₂²×C₄	—	2	1	no	—
623	C₂²×C₄	—	2	1	no	—
624	C₂²×C₄	—	2	2	no	—
625	C₂²×C₄	—	4	1	no	—
626	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
627	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
628	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
629	SD₁₆	—	8	1	no	—
630	SD₁₆	—	8	1	no	—
631	SD₁₆	—	8	1	no	—
632	D₈	—	4	4	no	—
633	D₈	—	8	1	no	—
634	D₈	—	8	1	no	—
635	D₈	—	8	1	no	—
636	M₁₆	—	8	1	no	—
637	C₂×C₈	—	2	1	no	—
638	C₂×C₈	—	2	1	no	—
639	C₂×C₈	—	2	1	no	—
640	C₂×C₈	—	2	1	no	—
641	C₂×C₈	—	2	1	no	—
642	C₂×C₈	—	2	1	no	—
643	C₂×C₈	—	4	2	no	—
644	C₄⋊C₄	—	2	2	no	—
645	C₄⋊C₄	—	2	2	no	—
646	C₄⋊C₄	—	2	1	no	—
647	C₄⋊C₄	—	2	1	no	—
648	C₄⋊C₄	—	2	1	no	—
649	C₄⋊C₄	—	2	1	no	—
650	C₄⋊C₄	—	2	1	no	—
651	C₄⋊C₄	—	2	1	no	—
652	C₄⋊C₄	—	2	1	no	—
653	C₄⋊C₄	—	2	1	no	—
654	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
655	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
656	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
657	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
658	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
659	C₂²⋊C₄	—	2	2	no	—
660	C₂²⋊C₄	—	2	2	no	—
661	C₂²⋊C₄	—	2	2	no	—
662	C₂²⋊C₄	—	2	2	no	—
663	C₂²⋊C₄	—	2	2	no	—
664	C₂²⋊C₄	—	2	1	no	—
665	C₂²⋊C₄	—	2	1	no	—
666	C₂²⋊C₄	—	2	1	no	—
667	C₂²⋊C₄	—	2	1	no	—
668	C₂²⋊C₄	—	2	1	no	—
669	C₂²⋊C₄	—	2	1	no	—
670	C₂²⋊C₄	—	2	2	no	—
671	C₂²⋊C₄	—	2	2	no	—
672	C₂²⋊C₄	—	2	1	no	—
673	C₂²⋊C₄	—	2	1	no	—
674	C₂²⋊C₄	—	2	1	no	—
675	C₂²⋊C₄	—	4	1	no	—
676	C₂²⋊C₄	—	4	1	no	—
677	C₄²	—	2	2	no	—
678	C₄²	—	2	1	no	—
679	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
680	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
681	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
682	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
683	C₂³	—	2	1	no	—
684	C₂³	—	2	1	no	—
685	C₂³	—	2	2	no	—
686	C₂³	—	2	1	no	—
687	C₂³	—	4	1	no	—
688	C₂³	—	8	2	no	—
689	C₂³	—	8	2	no	—
690	C₂³	—	8	2	no	—
691	C₂³	C₂₉×#120	1	1	yes	characteristic
692	Q₈	—	2	1	no	—
693	Q₈	—	2	1	no	—
694	Q₈	—	4	1	no	—
695	Q₈	—	4	1	no	—
696	Q₈	—	4	1	no	—
697	Q₈	—	4	1	no	—
698	Q₈	—	8	1	no	—
699	D₄	—	2	1	no	—
700	D₄	—	2	1	no	—
701	D₄	—	2	1	no	—
702	D₄	—	2	1	no	—
703	D₄	—	2	1	no	—
704	D₄	—	2	1	no	—
705	D₄	—	4	2	no	—
706	D₄	—	4	2	no	—
707	D₄	—	4	1	no	—
708	D₄	—	4	1	no	—
709	D₄	—	4	1	no	—
710	D₄	—	4	1	no	—
711	D₄	—	4	1	no	—
712	D₄	—	4	1	no	—
713	D₄	—	4	1	no	—
714	D₄	—	4	1	no	—
715	D₄	—	8	1	no	—
716	D₄	—	8	1	no	—
717	D₄	—	8	2	no	—
718	D₄	—	8	1	no	—
719	D₄	—	8	1	no	—
720	D₄	—	8	1	no	—
721	D₄	—	8	2	no	—
722	D₄	—	8	2	no	—
723	D₄	—	8	2	no	—
724	D₄	—	8	2	no	—
725	D₄	—	8	2	no	—
726	D₄	—	8	2	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	1	no	—
730	C₂×C₄	—	2	1	no	—
731	C₂×C₄	—	2	1	no	—
732	C₂×C₄	—	2	1	no	—
733	C₂×C₄	—	2	1	no	—
734	C₂×C₄	—	2	2	no	—
735	C₂×C₄	—	2	1	no	—
736	C₂×C₄	—	2	1	no	—
737	C₂×C₄	—	4	1	no	—
738	C₂×C₄	—	4	1	no	—
739	C₂×C₄	—	4	1	no	—
740	C₂×C₄	—	4	1	no	—
741	C₂×C₄	—	4	1	no	—
742	C₂×C₄	—	4	1	no	—
743	C₂×C₄	—	4	1	no	—
744	C₂×C₄	—	4	1	no	—
745	C₂×C₄	—	8	2	no	—
746	C₂×C₄	—	8	2	no	—
747	C₂×C₄	—	8	2	no	—
748	C₂×C₄	—	8	2	no	—
749	C₂×C₄	C₂₉×#120	1	1	yes	characteristic
750	C₂×C₄	C₂₉×#120	1	1	yes	characteristic
751	C₂×C₄	C₂₉×#120	1	1	yes	characteristic
752	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
753	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
754	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
755	C₈	—	2	2	no	—
756	C₈	—	4	1	no	—
757	C₈	—	4	1	no	—
758	C₈	—	4	1	no	—
759	C₈	—	4	1	no	—
760	C₈	—	4	1	no	—
761	C₂²	—	2	1	no	—
762	C₂²	—	2	1	no	—
763	C₂²	—	2	1	no	—
764	C₂²	—	4	1	no	—
765	C₂²	—	4	1	no	—
766	C₂²	—	4	2	no	—
767	C₂²	—	4	1	no	—
768	C₂²	—	4	1	no	—
769	C₂²	—	4	1	no	—
770	C₂²	—	4	2	no	—
771	C₂²	—	4	1	no	—
772	C₂²	—	4	2	no	—
773	C₂²	—	4	1	no	—
774	C₂²	—	4	1	no	—
775	C₂²	—	4	1	no	—
776	C₂²	—	8	1	no	—
777	C₂²	—	8	1	no	—
778	C₂²	—	8	1	no	—
779	C₂²	—	16	4	no	—
780	C₂²	C₂×C₂₉×#120	1	1	yes	characteristic
781	C₄	—	2	1	no	—
782	C₄	—	2	1	no	—
783	C₄	—	2	1	no	—
784	C₄	—	2	1	no	—
785	C₄	—	4	1	no	—
786	C₄	—	4	2	no	—
787	C₄	—	4	1	no	—
788	C₄	—	4	1	no	—
789	C₄	—	4	1	no	—
790	C₄	—	4	1	no	—
791	C₄	—	8	1	no	—
792	C₄	C₂₉×#576	1	1	yes	characteristic
793	C₄	C₂₉×#576	1	1	yes	characteristic
794	C₄	C₂₉×#576	1	1	yes	characteristic
795	C₄	C₂₉×#577	1	1	yes	characteristic
796	C₂	—	4	1	no	—
797	C₂	—	8	1	no	—
798	C₂	—	8	1	no	—
799	C₂	—	8	2	no	—
800	C₂	—	8	1	no	—
801	C₂	—	16	1	no	—
802	C₂	C₂₉×#3008	1	1	yes	characteristic
803	C₂	C₂₉×#3012	1	1	yes	characteristic
804	C₂	C₂₉×#3018	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₉	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₂₉
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
1. C₂₉×#3546	C₂	semidirect
2. C₂₉×#3251	C₂	semidirect
3. C₂₉×#3214	C₂	semidirect
4. C₂₉×#3169	C₂	semidirect
5. C₂₉×#1650	C₂	semidirect
6. C₂₉×#1647	C₂	semidirect
7. C₂₉×#1642	C₂	semidirect
8. C₂₉×#1639	C₂	semidirect
9. C₂₉×#1628	C₂	semidirect
10. C₂₉×#1625	C₂	semidirect
11. C₂₉×#1621	C₂	semidirect
12. C₂₉×#1619	C₂	semidirect
13. C₂₉×#1557	C₂	semidirect
14. C₂₉×#1494	C₂	semidirect
15. C₂₉×#1492	C₂	semidirect
32. C₂₉×#532	C₂²	semidirect
34. C₂₉×#500	C₂²	semidirect
39. C₂₉×#486	C₂²	semidirect
41. C₂₉×#475	C₂²	semidirect
48. C₂₉×#461	C₂²	semidirect
49. C₂₉×#460	C₂²	semidirect
52. C₂₉×#459	C₂²	semidirect
56. C₂₉×#432	C₂²	semidirect
57. C₂₉×#423	C₂²	semidirect
58. C₂×C₄×C₈×C₂₉	C₂²	semidirect
59. C₂₉×#332	C₂²	semidirect
60. C₂₉×#332	C₂²	semidirect
63. C₂₉×Q₈⋊C₈	C₂²	semidirect
64. C₂₉×Q₈⋊C₈	C₂²	semidirect
69. C₂₉×D₄⋊C₈	C₂²	semidirect
70. C₂₉×D₄⋊C₈	C₂²	semidirect
280. #18704	C₂₉	direct (N × H)
359. #3546	C₂×C₂₉	semidirect
360. #3251	C₂×C₂₉	semidirect
361. #3214	C₂×C₂₉	semidirect
362. #3169	C₂×C₂₉	semidirect
363. #1650	C₂×C₂₉	semidirect
364. #1647	C₂×C₂₉	semidirect
365. #1642	C₂×C₂₉	semidirect
366. #1639	C₂×C₂₉	semidirect
367. #1628	C₂×C₂₉	semidirect
368. #1625	C₂×C₂₉	semidirect
369. #1621	C₂×C₂₉	semidirect
370. #1619	C₂×C₂₉	semidirect
371. #1557	C₂×C₂₉	semidirect
372. #1494	C₂×C₂₉	semidirect
373. #1492	C₂×C₂₉	semidirect
425. #532	C₂²×C₂₉	semidirect
427. #500	C₂²×C₂₉	semidirect
432. #486	C₂²×C₂₉	semidirect
434. #475	C₂²×C₂₉	semidirect
441. #461	C₂²×C₂₉	semidirect
442. #460	C₂²×C₂₉	semidirect
445. #459	C₂²×C₂₉	semidirect
449. #432	C₂²×C₂₉	semidirect
450. #423	C₂²×C₂₉	semidirect
451. C₂×C₄×C₈	C₂²×C₂₉	semidirect
452. #332	C₂²×C₂₉	semidirect
453. #332	C₂²×C₂₉	semidirect
456. Q₈⋊C₈	C₂²×C₂₉	semidirect
457. Q₈⋊C₈	C₂²×C₂₉	semidirect
462. D₄⋊C₈	C₂²×C₂₉	semidirect
463. D₄⋊C₈	C₂²×C₂₉	semidirect
578. C₂₉	#18704	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂₉×#3546	2
C₂₉×#3251	2
C₂₉×#3214	2
C₂₉×#3169	2
C₂₉×#1650	2
C₂₉×#1647	2
C₂₉×#1642	2
C₂₉×#1639	2
C₂₉×#1628	2
C₂₉×#1625	2
C₂₉×#1621	2
C₂₉×#1619	2
C₂₉×#1557	2
C₂₉×#1494	2
C₂₉×#1492	2
#18704	29

Subgroups — C29×#18704 #20313604

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#18704 #20313604