Subgroups — C₂₉×#18795 #20313695

Order 7424.

956 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂₉×#3210	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×#3109	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂₉×#3106	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂₉×#1638	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂₉×#1635	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂₉×#1634	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂₉×#1632	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×#1624	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂₉×#1622	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂₉×#1554	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂₉×#1488	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₉×#1478	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#556	C₂²	1	1	yes	characteristic
17	C₂₉×#555	C₂²	1	1	yes	characteristic
18	C₂₉×#554	C₂²	1	1	yes	characteristic
19	C₂₉×#553	—	2	1	no	—
20	C₂₉×#552	—	2	1	no	—
21	C₂₉×#552	—	2	1	no	—
22	C₂₉×#551	—	2	2	no	—
23	C₂₉×#547	C₂²	1	1	yes	characteristic
24	C₂₉×#546	—	2	1	no	—
25	C₂₉×#533	C₂²	1	1	yes	characteristic
26	C₂₉×#532	C₂²	1	1	yes	characteristic
27	C₂₉×#529	—	2	2	no	—
28	C₂₉×#529	—	2	1	no	—
29	C₂₉×#525	—	2	1	no	—
30	C₄×#41×C₂₉	—	2	1	no	—
31	C₄×#41×C₂₉	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
33	C₂×C₂₉×#117	—	2	1	no	—
34	C₂₉×#494	C₂²	1	1	yes	characteristic, complemented
35	C₂₉×#492	C₂²	1	1	yes	characteristic, complemented
36	C₂₉×#487	C₂²	1	1	yes	characteristic, complemented
37	C₂₉×#486	C₂²	1	1	yes	characteristic, complemented
38	C₂₉×#482	—	2	1	no	—
39	C₂₉×#481	—	2	1	no	—
40	C₂₉×#477	C₂²	1	1	yes	characteristic, complemented
41	C₂₉×#476	C₂²	1	1	yes	characteristic
42	C₂₉×#476	C₂²	1	1	yes	characteristic
43	C₂₉×#476	C₂²	1	1	yes	characteristic, complemented
44	C₂₉×#464	—	2	2	no	—
45	C₂₉×#460	C₂²	1	1	yes	characteristic, complemented
46	C₂₉×#459	C₂²	1	1	yes	characteristic
47	C₂₉×#459	C₂²	1	1	yes	characteristic
48	C₂₉×#459	C₂²	1	1	yes	characteristic, complemented
49	C₂₉×#452	—	2	2	no	—
50	C₂₉×#449	—	2	1	no	—
51	C₂₉×#447	—	2	1	no	—
52	C₂₉×#442	—	2	1	no	—
53	C₂₉×#442	—	2	1	no	—
54	C₄×SD₁₆×C₂₉	—	2	1	no	—
55	C₄×D₈×C₂₉	—	2	1	no	—
56	C₂₉×#432	C₂²	1	1	yes	characteristic
57	C₂₉×#431	C₂²	1	1	yes	characteristic
58	C₂₉×#431	C₂²	1	1	yes	characteristic
59	C₂₉×#333	C₂²	1	1	yes	characteristic, complemented
60	C₂₉×#333	C₂²	1	1	yes	characteristic, complemented
61	C₂₉×#332	C₂²	1	1	yes	characteristic, complemented
62	C₂₉×#332	C₂²	1	1	yes	characteristic, complemented
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	D₄	1	1	yes	characteristic
74	C₂²×D₄×C₂₉	D₄	1	1	yes	characteristic
75	C₂³×C₄×C₂₉	—	2	1	no	—
76	C₂×Q₁₆×C₂₉	—	2	2	no	—
77	C₂×SD₁₆×C₂₉	—	2	1	no	—
78	C₂×SD₁₆×C₂₉	—	2	2	no	—
79	C₂×D₈×C₂₉	—	2	1	no	—
80	C₂×D₈×C₂₉	—	2	1	no	—
81	C₂×D₈×C₂₉	—	2	1	no	—
82	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
83	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
84	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
85	C₂₉×#127	C₂³	1	1	yes	characteristic
86	C₂₉×#126	—	2	2	no	—
87	C₂₉×#126	—	2	2	no	—
88	C₂₉×#126	—	2	2	no	—
89	C₂₉×#125	—	2	2	no	—
90	C₂₉×#125	—	2	1	no	—
91	C₂₉×#125	—	2	1	no	—
92	C₂₉×#124	—	2	2	no	—
93	C₂₉×#124	—	2	1	no	—
94	C₂₉×#124	—	2	1	no	—
95	C₂₉×#123	—	2	2	no	—
96	C₂₉×#123	—	2	2	no	—
97	C₂₉×#123	—	2	2	no	—
98	C₂₉×#123	—	2	2	no	—
99	C₂₉×C₂²⋊Q₈	—	2	1	no	—
100	C₂₉×C₂²⋊Q₈	—	2	1	no	—
101	C₂₉×C₂²⋊Q₈	—	2	2	no	—
102	C₂₉×C₂²⋊Q₈	—	2	1	no	—
103	C₂₉×C₂²⋊Q₈	—	2	1	no	—
104	C₂₉×C₂²⋊Q₈	D₄	1	2	yes	—
105	C₂₉×#121	—	2	2	no	—
106	C₂₉×#121	—	2	1	no	—
107	C₂₉×#121	—	2	1	no	—
108	C₂₉×#121	—	2	1	no	—
109	C₂₉×#121	—	2	1	no	—
110	C₂₉×#121	—	2	1	no	—
111	C₂₉×#120	—	2	2	no	—
112	C₄×Q₈×C₂₉	—	2	1	no	—
113	C₄×Q₈×C₂₉	—	2	1	no	—
114	C₄×Q₈×C₂₉	D₄	1	1	yes	characteristic
115	C₄×Q₈×C₂₉	D₄	1	2	yes	—
116	C₄×Q₈×C₂₉	C₂³	1	1	yes	characteristic
117	C₄×D₄×C₂₉	—	2	2	no	—
118	C₄×D₄×C₂₉	—	2	2	no	—
119	C₄×D₄×C₂₉	—	2	2	no	—
120	C₄×D₄×C₂₉	—	2	1	no	—
121	C₄×D₄×C₂₉	—	2	1	no	—
122	C₄×D₄×C₂₉	—	2	1	no	—
123	C₄×D₄×C₂₉	—	2	1	no	—
124	C₄×D₄×C₂₉	—	2	1	no	—
125	C₄×D₄×C₂₉	—	2	1	no	—
126	C₄×D₄×C₂₉	—	2	1	no	—
127	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
128	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
129	C₄×D₄×C₂₉	D₄	1	1	yes	characteristic
130	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
131	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
132	C₄×D₄×C₂₉	C₂³	1	1	yes	characteristic
133	C₂₉×#117	—	2	2	no	—
134	C₂₉×#117	—	2	2	no	—
135	C₂₉×#117	—	2	2	no	—
136	C₂₉×#117	—	2	1	no	—
137	C₂₉×#117	—	2	1	no	—
138	C₂₉×#117	—	2	1	no	—
139	C₂₉×#117	—	2	1	no	—
140	C₂₉×#117	—	2	1	no	—
141	C₂₉×#117	D₄	1	1	yes	characteristic
142	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
143	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
144	C₂×C₄⋊C₄×C₂₉	D₄	1	1	yes	characteristic
145	C₂×C₂²⋊C₄×C₂₉	—	2	2	no	—
146	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
147	C₂×C₄²×C₂₉	—	2	2	no	—
148	C₂×C₄²×C₂₉	—	2	1	no	—
149	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
150	C₂₉×#107	—	2	1	no	—
151	C₂₉×#106	—	2	1	no	—
152	C₂₉×#106	—	2	1	no	—
153	C₂₉×#106	—	2	1	no	—
154	C₂₉×C₄⋊C₈	—	2	1	no	—
155	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
156	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
157	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
158	C₂₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
159	C₂₉×#103	—	2	1	no	—
160	C₂₉×#103	—	2	2	no	—
161	C₂₉×#102	—	2	1	no	—
162	C₂₉×#102	—	2	1	no	—
163	C₂₉×#102	—	2	1	no	—
164	C₂₉×#102	—	2	1	no	—
165	C₂₉×#102	—	2	1	no	—
166	C₂₉×#102	—	2	1	no	—
167	C₂₉×#102	—	2	1	no	—
168	C₂₉×#102	—	2	2	no	—
169	C₂₉×C₂²⋊C₈	—	2	1	no	—
170	C₂₉×C₂²⋊C₈	—	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	1	no	—
177	#41×C₂₉	—	4	1	no	—
178	#41×C₂₉	—	4	1	no	—
179	#41×C₂₉	—	4	2	no	—
180	#41×C₂₉	—	4	2	no	—
181	#41×C₂₉	—	8	2	no	—
182	C₂×Q₈×C₂₉	—	2	1	no	—
183	C₂×Q₈×C₂₉	—	2	1	no	—
184	C₂×Q₈×C₂₉	C₂×D₄	1	1	yes	characteristic
185	C₂×Q₈×C₂₉	C₂×D₄	1	2	yes	—
186	C₂×D₄×C₂₉	—	2	2	no	—
187	C₂×D₄×C₂₉	—	2	2	no	—
188	C₂×D₄×C₂₉	—	2	1	no	—
189	C₂×D₄×C₂₉	—	2	2	no	—
190	C₂×D₄×C₂₉	—	2	1	no	—
191	C₂×D₄×C₂₉	—	2	1	no	—
192	C₂×D₄×C₂₉	—	2	1	no	—
193	C₂×D₄×C₂₉	—	2	1	no	—
194	C₂×D₄×C₂₉	—	4	1	no	—
195	C₂×D₄×C₂₉	—	4	1	no	—
196	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
197	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
198	C₂×D₄×C₂₉	C₂×D₄	1	1	yes	characteristic
199	C₂²×C₄×C₂₉	—	2	2	no	—
200	C₂²×C₄×C₂₉	—	2	1	no	—
201	C₂²×C₄×C₂₉	—	2	2	no	—
202	C₂²×C₄×C₂₉	—	2	1	no	—
203	C₂²×C₄×C₂₉	—	2	1	no	—
204	C₂²×C₄×C₂₉	—	2	1	no	—
205	C₂²×C₄×C₂₉	—	2	1	no	—
206	C₂²×C₄×C₂₉	—	2	1	no	—
207	C₂²×C₄×C₂₉	—	2	1	no	—
208	C₂²×C₄×C₂₉	—	2	1	no	—
209	C₂²×C₄×C₂₉	—	4	2	no	—
210	C₂²×C₄×C₂₉	—	4	2	no	—
211	C₂²×C₄×C₂₉	—	4	1	no	—
212	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
214	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
215	Q₁₆×C₂₉	—	8	2	no	—
216	SD₁₆×C₂₉	—	4	2	no	—
217	SD₁₆×C₂₉	—	8	2	no	—
218	D₈×C₂₉	—	4	2	no	—
219	D₈×C₂₉	—	4	2	no	—
220	D₈×C₂₉	—	4	2	no	—
221	C₂×C₈×C₂₉	—	2	1	no	—
222	C₂×C₈×C₂₉	—	2	1	no	—
223	C₂×C₈×C₂₉	—	2	1	no	—
224	C₂×C₈×C₂₉	—	2	1	no	—
225	C₂×C₈×C₂₉	—	2	1	no	—
226	C₂×C₈×C₂₉	—	2	1	no	—
227	C₄⋊C₄×C₂₉	—	2	2	no	—
228	C₄⋊C₄×C₂₉	—	2	2	no	—
229	C₄⋊C₄×C₂₉	—	2	2	no	—
230	C₄⋊C₄×C₂₉	—	2	2	no	—
231	C₄⋊C₄×C₂₉	—	2	1	no	—
232	C₄⋊C₄×C₂₉	—	2	2	no	—
233	C₄⋊C₄×C₂₉	—	2	1	no	—
234	C₄⋊C₄×C₂₉	—	2	2	no	—
235	C₄⋊C₄×C₂₉	—	2	1	no	—
236	C₄⋊C₄×C₂₉	—	2	1	no	—
237	C₄⋊C₄×C₂₉	—	2	1	no	—
238	C₄⋊C₄×C₂₉	—	2	1	no	—
239	C₄⋊C₄×C₂₉	—	2	1	no	—
240	C₄⋊C₄×C₂₉	—	2	1	no	—
241	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
242	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
243	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
244	C₄⋊C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
245	C₄⋊C₄×C₂₉	C₂×D₄	1	2	yes	—
246	C₂²⋊C₄×C₂₉	—	2	2	no	—
247	C₂²⋊C₄×C₂₉	—	2	2	no	—
248	C₂²⋊C₄×C₂₉	—	2	2	no	—
249	C₂²⋊C₄×C₂₉	—	2	2	no	—
250	C₂²⋊C₄×C₂₉	—	2	2	no	—
251	C₂²⋊C₄×C₂₉	—	2	2	no	—
252	C₂²⋊C₄×C₂₉	—	2	1	no	—
253	C₂²⋊C₄×C₂₉	—	2	2	no	—
254	C₂²⋊C₄×C₂₉	—	2	1	no	—
255	C₂²⋊C₄×C₂₉	—	2	1	no	—
256	C₂²⋊C₄×C₂₉	—	2	1	no	—
257	C₂²⋊C₄×C₂₉	—	2	1	no	—
258	C₂²⋊C₄×C₂₉	—	2	1	no	—
259	C₂²⋊C₄×C₂₉	—	2	1	no	—
260	C₂²⋊C₄×C₂₉	—	4	1	no	—
261	C₂²⋊C₄×C₂₉	—	4	1	no	—
262	C₄²×C₂₉	—	2	2	no	—
263	C₄²×C₂₉	—	2	2	no	—
264	C₄²×C₂₉	—	2	1	no	—
265	C₄²×C₂₉	—	2	2	no	—
266	C₄²×C₂₉	—	2	1	no	—
267	C₄²×C₂₉	—	2	1	no	—
268	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
269	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
270	C₄²×C₂₉	C₂×D₄	1	1	yes	characteristic
271	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
272	#18795	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
273	C₂³×C₂₉	—	2	1	no	—
274	C₂³×C₂₉	—	2	1	no	—
275	C₂³×C₂₉	—	2	1	no	—
276	C₂³×C₂₉	—	4	2	no	—
277	C₂³×C₂₉	—	4	2	no	—
278	C₂³×C₂₉	—	4	1	no	—
279	C₂³×C₂₉	—	8	1	no	—
280	C₂³×C₂₉	#120	1	1	yes	characteristic
281	Q₈×C₂₉	—	2	1	no	—
282	Q₈×C₂₉	—	2	1	no	—
283	Q₈×C₂₉	—	4	2	no	—
284	Q₈×C₂₉	—	4	2	no	—
285	Q₈×C₂₉	—	4	1	no	—
286	Q₈×C₂₉	—	4	1	no	—
287	D₄×C₂₉	—	2	1	no	—
288	D₄×C₂₉	—	2	1	no	—
289	D₄×C₂₉	—	2	1	no	—
290	D₄×C₂₉	—	2	1	no	—
291	D₄×C₂₉	—	2	1	no	—
292	D₄×C₂₉	—	4	2	no	—
293	D₄×C₂₉	—	4	2	no	—
294	D₄×C₂₉	—	4	4	no	—
295	D₄×C₂₉	—	4	2	no	—
296	D₄×C₂₉	—	4	1	no	—
297	D₄×C₂₉	—	4	1	no	—
298	D₄×C₂₉	—	4	1	no	—
299	D₄×C₂₉	—	4	1	no	—
300	D₄×C₂₉	—	8	2	no	—
301	D₄×C₂₉	—	8	2	no	—
302	D₄×C₂₉	#135	1	2	yes	—
303	C₂×C₄×C₂₉	—	2	1	no	—
304	C₂×C₄×C₂₉	—	2	1	no	—
305	C₂×C₄×C₂₉	—	2	1	no	—
306	C₂×C₄×C₂₉	—	2	1	no	—
307	C₂×C₄×C₂₉	—	2	1	no	—
308	C₂×C₄×C₂₉	—	2	1	no	—
309	C₂×C₄×C₂₉	—	2	1	no	—
310	C₂×C₄×C₂₉	—	2	1	no	—
311	C₂×C₄×C₂₉	—	2	2	no	—
312	C₂×C₄×C₂₉	—	2	2	no	—
313	C₂×C₄×C₂₉	—	2	1	no	—
314	C₂×C₄×C₂₉	—	4	1	no	—
315	C₂×C₄×C₂₉	—	4	2	no	—
316	C₂×C₄×C₂₉	—	4	2	no	—
317	C₂×C₄×C₂₉	—	4	2	no	—
318	C₂×C₄×C₂₉	—	4	2	no	—
319	C₂×C₄×C₂₉	—	4	4	no	—
320	C₂×C₄×C₂₉	—	4	1	no	—
321	C₂×C₄×C₂₉	—	4	1	no	—
322	C₂×C₄×C₂₉	—	4	1	no	—
323	C₂×C₄×C₂₉	—	4	1	no	—
324	C₂×C₄×C₂₉	—	4	1	no	—
325	C₂×C₄×C₂₉	—	4	1	no	—
326	C₂×C₄×C₂₉	—	4	1	no	—
327	C₂×C₄×C₂₉	—	8	1	no	—
328	C₂×C₄×C₂₉	—	8	2	no	—
329	C₂×C₄×C₂₉	—	8	2	no	—
330	C₂×C₄×C₂₉	#120	1	1	yes	characteristic
331	C₂×C₄×C₂₉	#120	1	1	yes	characteristic
332	C₂×C₄×C₂₉	#120	1	1	yes	characteristic
333	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
334	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
335	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
336	C₈×C₂₉	—	4	1	no	—
337	C₈×C₂₉	—	4	1	no	—
338	C₈×C₂₉	—	4	1	no	—
339	C₈×C₂₉	—	4	1	no	—
340	C₈×C₂₉	—	4	1	no	—
341	C₈×C₂₉	—	4	1	no	—
342	#3475	C₂×C₂₉	1	1	yes	characteristic, complemented
343	#3210	C₂×C₂₉	1	1	yes	characteristic, complemented
344	#3109	C₂×C₂₉	1	1	yes	characteristic, complemented
345	#3106	C₂×C₂₉	1	1	yes	characteristic, complemented
346	#1638	C₂×C₂₉	1	1	yes	characteristic, complemented
347	#1635	C₂×C₂₉	1	1	yes	characteristic, complemented
348	#1634	C₂×C₂₉	1	1	yes	characteristic, complemented
349	#1632	C₂×C₂₉	1	1	yes	characteristic, complemented
350	#1628	C₂×C₂₉	1	1	yes	characteristic, complemented
351	#1625	C₂×C₂₉	1	1	yes	characteristic, complemented
352	#1624	C₂×C₂₉	1	1	yes	characteristic, complemented
353	#1622	C₂×C₂₉	1	1	yes	characteristic, complemented
354	#1554	C₂×C₂₉	1	1	yes	characteristic, complemented
355	#1488	C₂×C₂₉	1	1	yes	characteristic, complemented
356	#1478	C₂×C₂₉	1	1	yes	characteristic, complemented
357	C₂²×C₂₉	—	2	1	no	—
358	C₂²×C₂₉	—	2	2	no	—
359	C₂²×C₂₉	—	2	1	no	—
360	C₂²×C₂₉	—	2	1	no	—
361	C₂²×C₂₉	—	4	1	no	—
362	C₂²×C₂₉	—	4	1	no	—
363	C₂²×C₂₉	—	4	1	no	—
364	C₂²×C₂₉	—	4	1	no	—
365	C₂²×C₂₉	—	4	1	no	—
366	C₂²×C₂₉	—	4	1	no	—
367	C₂²×C₂₉	—	4	1	no	—
368	C₂²×C₂₉	—	4	1	no	—
369	C₂²×C₂₉	—	8	4	no	—
370	C₂²×C₂₉	—	8	1	no	—
371	C₂²×C₂₉	—	8	1	no	—
372	C₂²×C₂₉	—	8	1	no	—
373	C₂²×C₂₉	C₂×#120	1	1	yes	characteristic
374	C₄×C₂₉	—	2	1	no	—
375	C₄×C₂₉	—	2	1	no	—
376	C₄×C₂₉	—	2	1	no	—
377	C₄×C₂₉	—	2	1	no	—
378	C₄×C₂₉	—	4	1	no	—
379	C₄×C₂₉	—	4	2	no	—
380	C₄×C₂₉	—	4	1	no	—
381	C₄×C₂₉	—	4	1	no	—
382	C₄×C₂₉	—	4	1	no	—
383	C₄×C₂₉	—	4	1	no	—
384	C₄×C₂₉	—	4	2	no	—
385	C₄×C₂₉	—	8	1	no	—
386	C₄×C₂₉	C₂×#135	1	1	yes	characteristic
387	C₄×C₂₉	#575	1	1	yes	characteristic
388	C₄×C₂₉	#575	1	1	yes	characteristic
389	C₄×C₂₉	#575	1	1	yes	characteristic
390	#556	C₂²×C₂₉	1	1	yes	characteristic
391	#555	C₂²×C₂₉	1	1	yes	characteristic
392	#554	C₂²×C₂₉	1	1	yes	characteristic
393	#553	—	2	1	no	—
394	#552	—	2	1	no	—
395	#552	—	2	1	no	—
396	#551	—	2	2	no	—
397	#547	C₂²×C₂₉	1	1	yes	characteristic
398	#546	—	2	1	no	—
399	#533	C₂²×C₂₉	1	1	yes	characteristic
400	#532	C₂²×C₂₉	1	1	yes	characteristic
401	#529	—	2	2	no	—
402	#529	—	2	1	no	—
403	#525	—	2	1	no	—
404	C₄×#41	—	2	1	no	—
405	C₄×#41	C₂²×C₂₉	1	1	yes	characteristic
406	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
407	C₂×#117	—	2	1	no	—
408	#494	C₂²×C₂₉	1	1	yes	characteristic, complemented
409	#492	C₂²×C₂₉	1	1	yes	characteristic, complemented
410	#487	C₂²×C₂₉	1	1	yes	characteristic, complemented
411	#486	C₂²×C₂₉	1	1	yes	characteristic, complemented
412	#482	—	2	1	no	—
413	#481	—	2	1	no	—
414	#477	C₂²×C₂₉	1	1	yes	characteristic, complemented
415	#476	C₂²×C₂₉	1	1	yes	characteristic
416	#476	C₂²×C₂₉	1	1	yes	characteristic
417	#476	C₂²×C₂₉	1	1	yes	characteristic, complemented
418	#464	—	2	2	no	—
419	#460	C₂²×C₂₉	1	1	yes	characteristic, complemented
420	#459	C₂²×C₂₉	1	1	yes	characteristic
421	#459	C₂²×C₂₉	1	1	yes	characteristic
422	#459	C₂²×C₂₉	1	1	yes	characteristic, complemented
423	#452	—	2	2	no	—
424	#449	—	2	1	no	—
425	#447	—	2	1	no	—
426	#442	—	2	1	no	—
427	#442	—	2	1	no	—
428	C₄×SD₁₆	—	2	1	no	—
429	C₄×D₈	—	2	1	no	—
430	#432	C₂²×C₂₉	1	1	yes	characteristic
431	#431	C₂²×C₂₉	1	1	yes	characteristic
432	#431	C₂²×C₂₉	1	1	yes	characteristic
433	#333	C₂²×C₂₉	1	1	yes	characteristic, complemented
434	#333	C₂²×C₂₉	1	1	yes	characteristic, complemented
435	#332	C₂²×C₂₉	1	1	yes	characteristic, complemented
436	#332	C₂²×C₂₉	1	1	yes	characteristic, complemented
437	Q₈⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
438	Q₈⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
439	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
440	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
441	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
442	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
443	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
444	D₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic, complemented
445	C₂×C₂₉	—	4	1	no	—
446	C₂×C₂₉	—	4	2	no	—
447	C₂×C₂₉	—	8	1	no	—
448	C₂×C₂₉	—	8	1	no	—
449	C₂×C₂₉	—	16	1	no	—
450	C₂×C₂₉	#3002	1	1	yes	characteristic
451	C₂×C₂₉	#3005	1	1	yes	characteristic
452	C₂×C₂₉	#3021	1	1	yes	characteristic
453	C₂×#41	—	2	1	no	—
454	C₂×#41	—	2	1	no	—
455	C₂×#41	D₄×C₂₉	1	1	yes	characteristic
456	C₂²×D₄	D₄×C₂₉	1	1	yes	characteristic
457	C₂³×C₄	—	2	1	no	—
458	C₂×Q₁₆	—	2	2	no	—
459	C₂×SD₁₆	—	2	1	no	—
460	C₂×SD₁₆	—	2	2	no	—
461	C₂×D₈	—	2	1	no	—
462	C₂×D₈	—	2	1	no	—
463	C₂×D₈	—	2	1	no	—
464	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
465	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
466	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
467	#127	C₂³×C₂₉	1	1	yes	characteristic
468	#126	—	2	2	no	—
469	#126	—	2	2	no	—
470	#126	—	2	2	no	—
471	#125	—	2	2	no	—
472	#125	—	2	1	no	—
473	#125	—	2	1	no	—
474	#124	—	2	2	no	—
475	#124	—	2	1	no	—
476	#124	—	2	1	no	—
477	#123	—	2	2	no	—
478	#123	—	2	2	no	—
479	#123	—	2	2	no	—
480	#123	—	2	2	no	—
481	C₂²⋊Q₈	—	2	1	no	—
482	C₂²⋊Q₈	—	2	1	no	—
483	C₂²⋊Q₈	—	2	2	no	—
484	C₂²⋊Q₈	—	2	1	no	—
485	C₂²⋊Q₈	—	2	1	no	—
486	C₂²⋊Q₈	D₄×C₂₉	1	2	yes	—
487	#121	—	2	2	no	—
488	#121	—	2	1	no	—
489	#121	—	2	1	no	—
490	#121	—	2	1	no	—
491	#121	—	2	1	no	—
492	#121	—	2	1	no	—
493	#120	—	2	2	no	—
494	C₄×Q₈	—	2	1	no	—
495	C₄×Q₈	—	2	1	no	—
496	C₄×Q₈	D₄×C₂₉	1	1	yes	characteristic
497	C₄×Q₈	D₄×C₂₉	1	2	yes	—
498	C₄×Q₈	C₂³×C₂₉	1	1	yes	characteristic
499	C₄×D₄	—	2	2	no	—
500	C₄×D₄	—	2	2	no	—
501	C₄×D₄	—	2	2	no	—
502	C₄×D₄	—	2	1	no	—
503	C₄×D₄	—	2	1	no	—
504	C₄×D₄	—	2	1	no	—
505	C₄×D₄	—	2	1	no	—
506	C₄×D₄	—	2	1	no	—
507	C₄×D₄	—	2	1	no	—
508	C₄×D₄	—	2	1	no	—
509	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
510	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
511	C₄×D₄	D₄×C₂₉	1	1	yes	characteristic
512	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
513	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
514	C₄×D₄	C₂³×C₂₉	1	1	yes	characteristic
515	#117	—	2	2	no	—
516	#117	—	2	2	no	—
517	#117	—	2	2	no	—
518	#117	—	2	1	no	—
519	#117	—	2	1	no	—
520	#117	—	2	1	no	—
521	#117	—	2	1	no	—
522	#117	—	2	1	no	—
523	#117	D₄×C₂₉	1	1	yes	characteristic
524	C₂×C₄⋊C₄	—	2	1	no	—
525	C₂×C₄⋊C₄	—	2	1	no	—
526	C₂×C₄⋊C₄	D₄×C₂₉	1	1	yes	characteristic
527	C₂×C₂²⋊C₄	—	2	2	no	—
528	C₂×C₂²⋊C₄	—	2	1	no	—
529	C₂×C₄²	—	2	2	no	—
530	C₂×C₄²	—	2	1	no	—
531	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
532	#107	—	2	1	no	—
533	#106	—	2	1	no	—
534	#106	—	2	1	no	—
535	#106	—	2	1	no	—
536	C₄⋊C₈	—	2	1	no	—
537	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
538	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
539	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
540	C₄⋊C₈	C₂³×C₂₉	1	1	yes	characteristic
541	#103	—	2	1	no	—
542	#103	—	2	2	no	—
543	#102	—	2	1	no	—
544	#102	—	2	1	no	—
545	#102	—	2	1	no	—
546	#102	—	2	1	no	—
547	#102	—	2	1	no	—
548	#102	—	2	1	no	—
549	#102	—	2	1	no	—
550	#102	—	2	2	no	—
551	C₂²⋊C₈	—	2	1	no	—
552	C₂²⋊C₈	—	2	1	no	—
553	C₂²⋊C₈	—	2	1	no	—
554	#97	—	2	1	no	—
555	C₄×C₈	—	2	1	no	—
556	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
557	C₄×C₈	C₂³×C₂₉	1	1	yes	characteristic
558	C₂₉	#18795	1	1	yes	characteristic, direct product factor, Sylow
559	C₂⁴	—	2	1	no	—
560	#41	—	4	1	no	—
561	#41	—	4	1	no	—
562	#41	—	4	2	no	—
563	#41	—	4	2	no	—
564	#41	—	8	2	no	—
565	C₂×Q₈	—	2	1	no	—
566	C₂×Q₈	—	2	1	no	—
567	C₂×Q₈	C₂×D₄×C₂₉	1	1	yes	characteristic
568	C₂×Q₈	C₂×D₄×C₂₉	1	2	yes	—
569	C₂×D₄	—	2	2	no	—
570	C₂×D₄	—	2	2	no	—
571	C₂×D₄	—	2	1	no	—
572	C₂×D₄	—	2	2	no	—
573	C₂×D₄	—	2	1	no	—
574	C₂×D₄	—	2	1	no	—
575	C₂×D₄	—	2	1	no	—
576	C₂×D₄	—	2	1	no	—
577	C₂×D₄	—	4	1	no	—
578	C₂×D₄	—	4	1	no	—
579	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
580	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
581	C₂×D₄	C₂×D₄×C₂₉	1	1	yes	characteristic
582	C₂²×C₄	—	2	2	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	2	no	—
585	C₂²×C₄	—	2	1	no	—
586	C₂²×C₄	—	2	1	no	—
587	C₂²×C₄	—	2	1	no	—
588	C₂²×C₄	—	2	1	no	—
589	C₂²×C₄	—	2	1	no	—
590	C₂²×C₄	—	2	1	no	—
591	C₂²×C₄	—	2	1	no	—
592	C₂²×C₄	—	4	2	no	—
593	C₂²×C₄	—	4	2	no	—
594	C₂²×C₄	—	4	1	no	—
595	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
596	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
597	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
598	Q₁₆	—	8	2	no	—
599	SD₁₆	—	4	2	no	—
600	SD₁₆	—	8	2	no	—
601	D₈	—	4	2	no	—
602	D₈	—	4	2	no	—
603	D₈	—	4	2	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	—	2	1	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	2	1	no	—
609	C₂×C₈	—	2	1	no	—
610	C₄⋊C₄	—	2	2	no	—
611	C₄⋊C₄	—	2	2	no	—
612	C₄⋊C₄	—	2	2	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	2	2	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	2	2	no	—
618	C₄⋊C₄	—	2	1	no	—
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	2	1	no	—
622	C₄⋊C₄	—	2	1	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	C₂×D₄×C₂₉	1	2	yes	—
625	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
626	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
627	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
628	C₄⋊C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	2	2	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	2	2	no	—
634	C₂²⋊C₄	—	2	2	no	—
635	C₂²⋊C₄	—	2	1	no	—
636	C₂²⋊C₄	—	2	2	no	—
637	C₂²⋊C₄	—	2	1	no	—
638	C₂²⋊C₄	—	2	1	no	—
639	C₂²⋊C₄	—	2	1	no	—
640	C₂²⋊C₄	—	2	1	no	—
641	C₂²⋊C₄	—	2	1	no	—
642	C₂²⋊C₄	—	2	1	no	—
643	C₂²⋊C₄	—	4	1	no	—
644	C₂²⋊C₄	—	4	1	no	—
645	C₄²	—	2	2	no	—
646	C₄²	—	2	2	no	—
647	C₄²	—	2	1	no	—
648	C₄²	—	2	2	no	—
649	C₄²	—	2	1	no	—
650	C₄²	—	2	1	no	—
651	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
652	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
653	C₄²	C₂×D₄×C₂₉	1	1	yes	characteristic
654	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
655	C₂³	—	2	1	no	—
656	C₂³	—	2	1	no	—
657	C₂³	—	2	1	no	—
658	C₂³	—	4	2	no	—
659	C₂³	—	4	2	no	—
660	C₂³	—	4	1	no	—
661	C₂³	—	8	1	no	—
662	C₂³	C₂₉×#120	1	1	yes	characteristic
663	Q₈	—	2	1	no	—
664	Q₈	—	2	1	no	—
665	Q₈	—	4	2	no	—
666	Q₈	—	4	2	no	—
667	Q₈	—	4	1	no	—
668	Q₈	—	4	1	no	—
669	D₄	—	2	1	no	—
670	D₄	—	2	1	no	—
671	D₄	—	2	1	no	—
672	D₄	—	2	1	no	—
673	D₄	—	2	1	no	—
674	D₄	—	4	2	no	—
675	D₄	—	4	2	no	—
676	D₄	—	4	4	no	—
677	D₄	—	4	2	no	—
678	D₄	—	4	1	no	—
679	D₄	—	4	1	no	—
680	D₄	—	4	1	no	—
681	D₄	—	4	1	no	—
682	D₄	—	8	2	no	—
683	D₄	—	8	2	no	—
684	D₄	C₂₉×#135	1	2	yes	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	1	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	2	no	—
698	C₂×C₄	—	4	2	no	—
699	C₂×C₄	—	4	2	no	—
700	C₂×C₄	—	4	2	no	—
701	C₂×C₄	—	4	4	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	8	1	no	—
710	C₂×C₄	—	8	2	no	—
711	C₂×C₄	—	8	2	no	—
712	C₂×C₄	C₂₉×#120	1	1	yes	characteristic
713	C₂×C₄	C₂₉×#120	1	1	yes	characteristic
714	C₂×C₄	C₂₉×#120	1	1	yes	characteristic
715	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
716	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
717	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
718	C₈	—	4	1	no	—
719	C₈	—	4	1	no	—
720	C₈	—	4	1	no	—
721	C₈	—	4	1	no	—
722	C₈	—	4	1	no	—
723	C₈	—	4	1	no	—
724	C₂²	—	2	1	no	—
725	C₂²	—	2	2	no	—
726	C₂²	—	2	1	no	—
727	C₂²	—	2	1	no	—
728	C₂²	—	4	1	no	—
729	C₂²	—	4	1	no	—
730	C₂²	—	4	1	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	1	no	—
733	C₂²	—	4	1	no	—
734	C₂²	—	4	1	no	—
735	C₂²	—	4	1	no	—
736	C₂²	—	8	4	no	—
737	C₂²	—	8	1	no	—
738	C₂²	—	8	1	no	—
739	C₂²	—	8	1	no	—
740	C₂²	C₂×C₂₉×#120	1	1	yes	characteristic
741	C₄	—	2	1	no	—
742	C₄	—	2	1	no	—
743	C₄	—	2	1	no	—
744	C₄	—	2	1	no	—
745	C₄	—	4	1	no	—
746	C₄	—	4	2	no	—
747	C₄	—	4	1	no	—
748	C₄	—	4	1	no	—
749	C₄	—	4	1	no	—
750	C₄	—	4	1	no	—
751	C₄	—	4	2	no	—
752	C₄	—	8	1	no	—
753	C₄	C₂×C₂₉×#135	1	1	yes	characteristic
754	C₄	C₂₉×#575	1	1	yes	characteristic
755	C₄	C₂₉×#575	1	1	yes	characteristic
756	C₄	C₂₉×#575	1	1	yes	characteristic
757	C₂	—	4	1	no	—
758	C₂	—	4	2	no	—
759	C₂	—	8	1	no	—
760	C₂	—	8	1	no	—
761	C₂	—	16	1	no	—
762	C₂	C₂₉×#3002	1	1	yes	characteristic
763	C₂	C₂₉×#3005	1	1	yes	characteristic
764	C₂	C₂₉×#3021	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×#3475	C₂	semidirect
2. C₂₉×#3210	C₂	semidirect
3. C₂₉×#3109	C₂	semidirect
4. C₂₉×#3106	C₂	semidirect
5. C₂₉×#1638	C₂	semidirect
6. C₂₉×#1635	C₂	semidirect
7. C₂₉×#1634	C₂	semidirect
8. C₂₉×#1632	C₂	semidirect
9. C₂₉×#1628	C₂	semidirect
10. C₂₉×#1625	C₂	semidirect
11. C₂₉×#1624	C₂	semidirect
12. C₂₉×#1622	C₂	semidirect
13. C₂₉×#1554	C₂	semidirect
14. C₂₉×#1488	C₂	semidirect
15. C₂₉×#1478	C₂	semidirect
34. C₂₉×#494	C₂²	semidirect
35. C₂₉×#492	C₂²	semidirect
36. C₂₉×#487	C₂²	semidirect
37. C₂₉×#486	C₂²	semidirect
40. C₂₉×#477	C₂²	semidirect
43. C₂₉×#476	C₂²	semidirect
45. C₂₉×#460	C₂²	semidirect
48. C₂₉×#459	C₂²	semidirect
59. C₂₉×#333	C₂²	semidirect
60. C₂₉×#333	C₂²	semidirect
61. C₂₉×#332	C₂²	semidirect
62. 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
272. #18795	C₂₉	direct (N × H)
342. #3475	C₂×C₂₉	semidirect
343. #3210	C₂×C₂₉	semidirect
344. #3109	C₂×C₂₉	semidirect
345. #3106	C₂×C₂₉	semidirect
346. #1638	C₂×C₂₉	semidirect
347. #1635	C₂×C₂₉	semidirect
348. #1634	C₂×C₂₉	semidirect
349. #1632	C₂×C₂₉	semidirect
350. #1628	C₂×C₂₉	semidirect
351. #1625	C₂×C₂₉	semidirect
352. #1624	C₂×C₂₉	semidirect
353. #1622	C₂×C₂₉	semidirect
354. #1554	C₂×C₂₉	semidirect
355. #1488	C₂×C₂₉	semidirect
356. #1478	C₂×C₂₉	semidirect
408. #494	C₂²×C₂₉	semidirect
409. #492	C₂²×C₂₉	semidirect
410. #487	C₂²×C₂₉	semidirect
411. #486	C₂²×C₂₉	semidirect
414. #477	C₂²×C₂₉	semidirect
417. #476	C₂²×C₂₉	semidirect
419. #460	C₂²×C₂₉	semidirect
422. #459	C₂²×C₂₉	semidirect
433. #333	C₂²×C₂₉	semidirect
434. #333	C₂²×C₂₉	semidirect
435. #332	C₂²×C₂₉	semidirect
436. #332	C₂²×C₂₉	semidirect
437. Q₈⋊C₈	C₂²×C₂₉	semidirect
438. Q₈⋊C₈	C₂²×C₂₉	semidirect
443. D₄⋊C₈	C₂²×C₂₉	semidirect
444. D₄⋊C₈	C₂²×C₂₉	semidirect
558. C₂₉	#18795	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×#3475	2
C₂₉×#3210	2
C₂₉×#3109	2
C₂₉×#3106	2
C₂₉×#1638	2
C₂₉×#1635	2
C₂₉×#1634	2
C₂₉×#1632	2
C₂₉×#1628	2
C₂₉×#1625	2
C₂₉×#1624	2
C₂₉×#1622	2
C₂₉×#1554	2
C₂₉×#1488	2
C₂₉×#1478	2
#18795	29

Subgroups — C29×#18795 #20313695

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#18795 #20313695