Subgroups — C₂₉×#62838 #20357738

Order 7424.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1000 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×#3565	C₂	1	8	yes	maximal, complemented
2	C₂₉×#3555	C₂	1	4	yes	maximal, complemented
3	C₂₉×#3547	C₂	1	4	yes	maximal, complemented
4	C₂₉×#3541	C₂	1	8	yes	maximal, complemented
5	C₂₉×#3518	C₂	1	4	yes	maximal, complemented
6	C₂₉×#3516	C₂	1	8	yes	maximal, complemented
7	C₂₉×#3515	C₂	1	4	yes	maximal, complemented
8	C₂₉×#3512	C₂	1	2	yes	maximal, complemented
9	C₂₉×#3511	C₂	1	2	yes	maximal, complemented
10	C₂₉×#3511	C₂	1	4	yes	maximal, complemented
11	C₂₉×#3509	C₂	1	4	yes	maximal, complemented
12	C₂₉×#3504	C₂	1	2	yes	maximal, complemented
13	C₂₉×#3503	C₂	1	2	yes	maximal, complemented
14	C₂₉×#3493	C₂	1	4	yes	maximal, complemented
15	C₂₉×#3444	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂₉×#3444	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₂₉×#533	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂₉×#563	C₂²	1	16	yes	—
19	C₂₉×#562	C₂²	1	16	yes	—
20	Q₈²×C₂₉	C₂²	1	4	yes	complemented
21	C₂₉×#557	C₂²	1	4	yes	complemented
22	C₂₉×#557	C₂²	1	8	yes	complemented
23	C₂₉×#557	C₂²	1	8	yes	complemented
24	C₂₉×#556	C₂²	1	8	yes	—
25	C₂₉×#556	C₂²	1	8	yes	—
26	C₂₉×#556	C₂²	1	8	yes	—
27	C₂₉×#556	C₂²	1	8	yes	complemented
28	C₂₉×#556	C₂²	1	4	yes	complemented
29	C₂₉×#556	C₂²	1	16	yes	complemented
30	C₂₉×#555	C₂²	1	8	yes	—
31	C₂₉×#555	C₂²	1	8	yes	—
32	C₂₉×#555	C₂²	1	4	yes	complemented
33	C₂₉×#554	C₂²	1	8	yes	—
34	C₂₉×#554	C₂²	1	16	yes	—
35	C₂₉×#554	C₂²	1	4	yes	complemented
36	C₂₉×#554	C₂²	1	8	yes	complemented
37	C₂₉×#554	C₂²	1	4	yes	complemented
38	C₂₉×#553	C₂²	1	8	yes	—
39	C₂₉×#553	C₂²	1	8	yes	—
40	C₂₉×#553	C₂²	1	8	yes	—
41	C₂₉×#553	C₂²	1	16	yes	—
42	C₂₉×#553	C₂²	1	8	yes	complemented
43	C₂₉×#552	C₂²	1	8	yes	—
44	C₂₉×#552	C₂²	1	8	yes	—
45	C₂₉×#552	C₂²	1	8	yes	—
46	C₂₉×#552	C₂²	1	8	yes	complemented
47	C₂₉×#552	C₂²	1	8	yes	complemented
48	C₂₉×#552	C₂²	1	16	yes	complemented
49	D₄×Q₈×C₂₉	C₂²	1	8	yes	—
50	D₄×Q₈×C₂₉	C₂²	1	4	yes	complemented
51	C₂₉×#548	C₂²	1	8	yes	—
52	C₂₉×#548	C₂²	1	8	yes	—
53	C₂₉×#548	C₂²	1	8	yes	complemented
54	C₂₉×#547	C₂²	1	8	yes	—
55	C₂₉×#547	C₂²	1	4	yes	complemented
56	C₂₉×#544	C₂²	1	4	yes	—
57	C₂₉×#544	C₂²	1	8	yes	complemented
58	C₂₉×#544	C₂²	1	8	yes	complemented
59	C₂₉×#542	C₂²	1	8	yes	—
60	C₂₉×#542	C₂²	1	16	yes	—
61	C₂₉×#542	C₂²	1	8	yes	complemented
62	C₂₉×#542	C₂²	1	8	yes	complemented
63	C₂₉×#542	C₂²	1	16	yes	complemented
64	C₂₉×#541	C₂²	1	8	yes	—
65	C₂₉×#541	C₂²	1	8	yes	complemented
66	C₂₉×#541	C₂²	1	4	yes	complemented
67	C₂₉×#541	C₂²	1	16	yes	complemented
68	C₂₉×#540	C₂²	1	4	yes	complemented
69	C₂₉×#539	C₂²	1	16	yes	—
70	C₂₉×#538	C₂²	1	16	yes	—
71	C₂₉×#537	C₂²	1	4	yes	—
72	C₂₉×#537	C₂²	1	8	yes	—
73	C₂₉×#536	C₂²	1	8	yes	—
74	C₂₉×#533	C₂²	1	4	yes	—
75	C₂₉×#533	C₂²	1	4	yes	—
76	C₂₉×#533	C₂²	1	4	yes	—
77	C₂₉×#533	C₂²	1	4	yes	—
78	C₂₉×#533	C₂²	1	1	yes	characteristic
79	C₂₉×#533	C₂²	1	1	yes	characteristic
80	C₂₉×#533	C₂²	1	2	yes	—
81	C₂₉×#533	C₂²	1	2	yes	—
82	C₂₉×#533	C₂²	1	4	yes	complemented
83	C₂₉×#533	C₂²	1	4	yes	complemented
84	C₂₉×#533	C₂²	1	4	yes	complemented
85	C₂₉×#532	C₂²	1	1	yes	characteristic
86	C₂₉×#532	C₂²	1	2	yes	—
87	C₂₉×#532	C₂²	1	1	yes	characteristic
88	C₂₉×#532	C₂²	1	2	yes	—
89	C₂₉×#532	C₂²	1	4	yes	complemented
90	C₂×C₂₉×C₄⋊Q₈	C₂²	1	2	yes	—
91	C₂×C₂₉×C₄⋊Q₈	C₂²	1	4	yes	complemented
92	C₂₉×#529	C₂²	1	2	yes	—
93	C₂₉×#529	C₂²	1	4	yes	—
94	C₂₉×#529	C₂²	1	4	yes	—
95	C₂₉×#529	C₂²	1	2	yes	—
96	C₂₉×#529	C₂²	1	4	yes	—
97	C₂₉×#529	C₂²	1	4	yes	—
98	C₂₉×#529	C₂²	1	4	yes	—
99	C₂₉×#529	C₂²	1	16	yes	—
100	C₂₉×#529	C₂²	1	8	yes	complemented
101	C₂×C₂₉×#125	C₂²	1	2	yes	—
102	C₂×C₂₉×#125	C₂²	1	4	yes	complemented
103	C₂₉×#525	C₂²	1	2	yes	—
104	C₂₉×#525	C₂²	1	2	yes	—
105	C₂₉×#525	C₂²	1	4	yes	—
106	C₂₉×#525	C₂²	1	4	yes	—
107	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	4	yes	—
108	C₂₉×#520	C₂²	1	4	yes	—
109	C₂₉×#520	C₂²	1	4	yes	—
110	C₂₉×#520	C₂²	1	8	yes	complemented
111	C₂₉×#519	C₂²	1	8	yes	complemented
112	C₄×#41×C₂₉	C₂²	1	2	yes	—
113	C₄×#41×C₂₉	C₂²	1	2	yes	—
114	C₄×#41×C₂₉	C₂²	1	4	yes	—
115	C₄×#41×C₂₉	C₂²	1	4	yes	—
116	C₂×C₄×Q₈×C₂₉	C₂²	1	4	yes	—
117	C₂×C₂₉×#117	C₂²	1	2	yes	—
118	C₂²×C₄²×C₂₉	C₂²	1	1	yes	characteristic
119	C₂×#41×C₂₉	C₂³	1	2	yes	—
120	C₂×#41×C₂₉	C₂³	1	2	yes	—
121	C₂×#41×C₂₉	C₂³	1	4	yes	—
122	C₂×#41×C₂₉	C₂³	1	4	yes	—
123	C₂×#41×C₂₉	C₂³	1	8	yes	—
124	C₂²×Q₈×C₂₉	C₂³	1	4	yes	—
125	C₂²×Q₈×C₂₉	C₂³	1	8	yes	—
126	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₂₉	C₂³	1	2	yes	—
128	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
129	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
130	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
131	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
132	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
133	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
134	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
135	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
136	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
137	C₂₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
138	C₂₉×C₄⋊Q₈	C₂³	1	2	yes	—
139	C₂₉×C₄⋊Q₈	C₂³	1	8	yes	—
140	C₂₉×C₄⋊Q₈	C₂³	1	16	yes	—
141	C₂₉×C₄⋊Q₈	C₂³	1	16	yes	—
142	C₂₉×#127	C₂³	1	1	yes	characteristic
143	C₂₉×#127	C₂³	1	1	yes	characteristic
144	C₂₉×#126	C₂³	1	8	yes	—
145	C₂₉×#126	C₂³	1	4	yes	—
146	C₂₉×#126	C₂³	1	4	yes	—
147	C₂₉×#126	C₂³	1	16	yes	—
148	C₂₉×#126	C₂³	1	16	yes	—
149	C₂₉×#126	C₂³	1	16	yes	—
150	C₂₉×#126	C₂³	1	16	yes	—
151	C₂₉×#126	C₂³	1	16	yes	—
152	C₂₉×#126	C₂³	1	16	yes	—
153	C₂₉×#126	C₂³	1	16	yes	—
154	C₂₉×#125	C₂³	1	4	yes	—
155	C₂₉×#125	C₂³	1	4	yes	—
156	C₂₉×#125	C₂³	1	8	yes	—
157	C₂₉×#125	C₂³	1	1	yes	characteristic
158	C₂₉×#125	C₂³	1	16	yes	—
159	C₂₉×#125	C₂³	1	8	yes	—
160	C₂₉×#125	C₂³	1	1	yes	characteristic
161	C₂₉×#125	C₂³	1	4	yes	—
162	C₂₉×#125	C₂³	1	2	yes	—
163	C₂₉×#125	C₂³	1	4	yes	—
164	C₂₉×#125	C₂³	1	16	yes	—
165	C₂₉×#125	C₂³	1	8	yes	—
166	C₂₉×#125	C₂³	1	8	yes	—
167	C₂₉×#125	C₂³	1	16	yes	—
168	C₂₉×#125	C₂³	1	16	yes	—
169	C₂₉×#125	C₂³	1	16	yes	—
170	C₂₉×#124	C₂³	1	2	yes	—
171	C₂₉×#124	C₂³	1	2	yes	—
172	C₂₉×#124	C₂³	1	4	yes	—
173	C₂₉×#124	C₂³	1	4	yes	—
174	C₂₉×#124	C₂³	1	16	yes	—
175	C₂₉×#124	C₂³	1	8	yes	—
176	C₂₉×#124	C₂³	1	16	yes	—
177	C₂₉×#124	C₂³	1	16	yes	—
178	C₂₉×#124	C₂³	1	16	yes	—
179	C₂₉×#123	C₂³	1	4	yes	—
180	C₂₉×#123	C₂³	1	4	yes	—
181	C₂₉×#123	C₂³	1	4	yes	—
182	C₂₉×#123	C₂³	1	4	yes	—
183	C₂₉×#123	C₂³	1	8	yes	—
184	C₂₉×#123	C₂³	1	16	yes	—
185	C₂₉×#123	C₂³	1	16	yes	—
186	C₂₉×#123	C₂³	1	16	yes	—
187	C₂₉×#123	C₂³	1	16	yes	—
188	C₂₉×#123	C₂³	1	16	yes	—
189	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
190	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
191	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
192	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
193	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
194	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
195	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
197	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
198	C₂₉×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₂₉×C₂²⋊Q₈	C₂³	1	16	yes	—
201	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
202	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
203	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
204	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
205	C₂₉×C₂²⋊Q₈	C₂³	1	8	yes	—
206	C₂₉×C₂²⋊Q₈	C₂³	1	16	yes	—
207	C₂₉×C₂²⋊Q₈	C₂³	1	16	yes	—
208	C₂₉×C₂²⋊Q₈	C₂³	1	16	yes	—
209	C₂₉×C₂²⋊Q₈	C₂³	1	16	yes	—
210	C₂₉×C₂²⋊Q₈	C₂³	1	16	yes	—
211	C₂₉×C₂²⋊Q₈	C₂³	1	16	yes	—
212	C₂₉×#121	C₂³	1	4	yes	—
213	C₂₉×#121	C₂³	1	4	yes	—
214	C₂₉×#121	C₂³	1	4	yes	—
215	C₂₉×#121	C₂³	1	2	yes	—
216	C₂₉×#121	C₂³	1	4	yes	—
217	C₂₉×#121	C₂³	1	2	yes	—
218	C₂₉×#121	C₂³	1	4	yes	—
219	C₂₉×#121	C₂³	1	16	yes	—
220	C₂₉×#121	C₂³	1	8	yes	—
221	C₂₉×#121	C₂³	1	8	yes	—
222	C₂₉×#121	C₂³	1	8	yes	—
223	C₂₉×#121	C₂³	1	16	yes	—
224	C₂₉×#121	C₂³	1	16	yes	—
225	C₂₉×#121	C₂³	1	16	yes	—
226	C₂₉×#120	C₂³	1	4	yes	—
227	C₂₉×#120	C₂³	1	4	yes	—
228	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
229	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
230	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
231	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
232	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
233	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
234	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
235	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
236	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
237	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
238	C₄×Q₈×C₂₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₂₉	C₂³	1	16	yes	—
240	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
241	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
242	C₄×Q₈×C₂₉	C₂³	1	16	yes	—
243	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
244	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
245	C₄×Q₈×C₂₉	C₂³	1	8	yes	—
246	C₄×D₄×C₂₉	C₂³	1	4	yes	—
247	C₄×D₄×C₂₉	C₂³	1	8	yes	—
248	C₄×D₄×C₂₉	C₂³	1	4	yes	—
249	C₄×D₄×C₂₉	C₂³	1	4	yes	—
250	C₄×D₄×C₂₉	C₂³	1	4	yes	—
251	C₄×D₄×C₂₉	C₂³	1	4	yes	—
252	C₄×D₄×C₂₉	C₂³	1	4	yes	—
253	C₄×D₄×C₂₉	C₂³	1	8	yes	—
254	C₄×D₄×C₂₉	C₂³	1	8	yes	—
255	C₄×D₄×C₂₉	C₂³	1	4	yes	—
256	C₄×D₄×C₂₉	C₂³	1	2	yes	—
257	C₄×D₄×C₂₉	C₂³	1	4	yes	—
258	C₄×D₄×C₂₉	C₂³	1	4	yes	—
259	C₄×D₄×C₂₉	C₂³	1	2	yes	—
260	C₄×D₄×C₂₉	C₂³	1	4	yes	—
261	C₄×D₄×C₂₉	C₂³	1	4	yes	—
262	C₄×D₄×C₂₉	C₂³	1	16	yes	—
263	C₄×D₄×C₂₉	C₂³	1	16	yes	—
264	C₄×D₄×C₂₉	C₂³	1	8	yes	—
265	C₄×D₄×C₂₉	C₂³	1	8	yes	—
266	C₄×D₄×C₂₉	C₂³	1	16	yes	—
267	C₄×D₄×C₂₉	C₂³	1	16	yes	—
268	C₄×D₄×C₂₉	C₂³	1	8	yes	—
269	C₂₉×#117	C₂³	1	8	yes	—
270	C₂₉×#117	C₂³	1	8	yes	—
271	C₂₉×#117	C₂³	1	4	yes	—
272	C₂₉×#117	C₂³	1	2	yes	—
273	C₂₉×#117	C₂³	1	2	yes	—
274	C₂₉×#117	C₂³	1	4	yes	—
275	C₂₉×#117	C₂³	1	4	yes	—
276	C₂₉×#117	C₂³	1	4	yes	—
277	C₂₉×#117	C₂³	1	4	yes	—
278	C₂₉×#117	C₂³	1	4	yes	—
279	C₂₉×#117	C₂³	1	8	yes	—
280	C₂₉×#117	C₂³	1	16	yes	—
281	C₂₉×#117	C₂³	1	16	yes	—
282	C₂₉×#117	C₂³	1	8	yes	—
283	C₂₉×#117	C₂³	1	8	yes	—
284	C₂₉×#117	C₂³	1	8	yes	—
285	C₂₉×#117	C₂³	1	16	yes	—
286	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
287	C₂×C₄⋊C₄×C₂₉	C₂³	1	8	yes	—
288	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
289	C₂×C₄⋊C₄×C₂₉	C₂³	1	8	yes	—
290	C₂×C₄⋊C₄×C₂₉	C₂³	1	8	yes	—
291	C₂×C₄⋊C₄×C₂₉	C₂³	1	16	yes	—
292	C₂×C₄⋊C₄×C₂₉	C₂³	1	8	yes	—
293	C₂×C₂²⋊C₄×C₂₉	C₂³	1	4	yes	—
294	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
295	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
297	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
299	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
300	C₂×C₄²×C₂₉	C₂³	1	2	yes	—
301	C₂×C₄²×C₂₉	C₂³	1	4	yes	—
302	C₂×C₄²×C₂₉	C₂³	1	4	yes	—
303	C₂×C₄²×C₂₉	C₂³	1	4	yes	—
304	C₂⁴×C₂₉	C₂⁴	1	1	yes	characteristic
305	#41×C₂₉	—	2	8	no	—
306	#41×C₂₉	—	2	8	no	—
307	#41×C₂₉	—	4	8	no	—
308	#41×C₂₉	—	4	8	no	—
309	#41×C₂₉	—	4	16	no	—
310	C₂×Q₈×C₂₉	—	4	8	no	—
311	C₂×Q₈×C₂₉	—	4	16	no	—
312	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
313	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
314	C₂×Q₈×C₂₉	C₂⁴	1	8	yes	—
315	C₂×Q₈×C₂₉	C₂⁴	1	4	yes	—
316	C₂×Q₈×C₂₉	C₂⁴	1	8	yes	—
317	C₂×Q₈×C₂₉	C₂⁴	1	4	yes	—
318	C₂×Q₈×C₂₉	C₂⁴	1	16	yes	—
319	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
320	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
321	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
322	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
323	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
324	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
325	C₂×D₄×C₂₉	C₂⁴	1	8	yes	—
326	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
327	C₂×D₄×C₂₉	C₂⁴	1	16	yes	—
328	C₂×D₄×C₂₉	C₂⁴	1	4	yes	—
329	C₂²×C₄×C₂₉	—	2	4	no	—
330	C₂²×C₄×C₂₉	—	4	4	no	—
331	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
333	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
338	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
339	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
340	C₂²×C₄×C₂₉	C₂⁴	1	4	yes	—
341	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₂₉	C₂⁴	1	8	yes	—
345	C₂²×C₄×C₂₉	C₂⁴	1	8	yes	—
346	C₂²×C₄×C₂₉	C₂⁴	1	16	yes	—
347	C₂²×C₄×C₂₉	C₂⁴	1	16	yes	—
348	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
349	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
350	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
351	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
352	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
353	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
354	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
355	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
356	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
357	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
358	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
359	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
360	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
361	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
362	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
363	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
364	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
365	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
366	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
367	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
368	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
369	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
370	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
371	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
372	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
373	C₄⋊C₄×C₂₉	C₂⁴	1	8	yes	—
374	C₄⋊C₄×C₂₉	C₂⁴	1	4	yes	—
375	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
376	C₄⋊C₄×C₂₉	C₂⁴	1	16	yes	—
377	C₂²⋊C₄×C₂₉	C₂⁴	1	16	yes	—
378	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
379	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
380	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
381	C₂²⋊C₄×C₂₉	C₂⁴	1	16	yes	—
382	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
383	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
384	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
385	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
386	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
387	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
388	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
389	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
390	C₂²⋊C₄×C₂₉	C₂⁴	1	16	yes	—
391	C₂²⋊C₄×C₂₉	C₂⁴	1	16	yes	—
392	C₂²⋊C₄×C₂₉	C₂⁴	1	16	yes	—
393	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
394	C₂²⋊C₄×C₂₉	C₂⁴	1	4	yes	—
395	C₂²⋊C₄×C₂₉	C₂⁴	1	8	yes	—
396	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
397	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
398	C₄²×C₂₉	C₂⁴	1	2	yes	—
399	C₄²×C₂₉	C₂⁴	1	2	yes	—
400	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
401	C₄²×C₂₉	C₂⁴	1	1	yes	characteristic
402	C₄²×C₂₉	C₂⁴	1	2	yes	—
403	C₄²×C₂₉	C₂⁴	1	2	yes	—
404	C₄²×C₂₉	C₂⁴	1	2	yes	—
405	C₄²×C₂₉	C₂⁴	1	2	yes	—
406	C₄²×C₂₉	C₂⁴	1	8	yes	—
407	C₄²×C₂₉	C₂⁴	1	16	yes	—
408	C₄²×C₂₉	C₂⁴	1	4	yes	—
409	C₄²×C₂₉	C₂⁴	1	4	yes	—
410	C₄²×C₂₉	C₂⁴	1	4	yes	—
411	C₄²×C₂₉	C₂⁴	1	4	yes	—
412	C₄²×C₂₉	C₂⁴	1	16	yes	—
413	C₄²×C₂₉	C₂⁴	1	16	yes	—
414	#62838	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
415	C₂³×C₂₉	—	2	2	no	—
416	C₂³×C₂₉	—	4	2	no	—
417	C₂³×C₂₉	C₂⁵	1	2	yes	—
418	C₂³×C₂₉	C₂⁵	1	4	yes	—
419	C₂³×C₂₉	C₂⁵	1	4	yes	—
420	C₂³×C₂₉	C₂⁵	1	1	yes	characteristic
421	Q₈×C₂₉	—	2	4	no	—
422	Q₈×C₂₉	—	2	4	no	—
423	Q₈×C₂₉	—	2	16	no	—
424	Q₈×C₂₉	—	2	8	no	—
425	Q₈×C₂₉	—	4	8	no	—
426	Q₈×C₂₉	—	4	16	no	—
427	Q₈×C₂₉	—	4	4	no	—
428	D₄×C₂₉	—	2	8	no	—
429	D₄×C₂₉	—	2	8	no	—
430	D₄×C₂₉	—	2	4	no	—
431	D₄×C₂₉	—	2	4	no	—
432	D₄×C₂₉	—	2	8	no	—
433	D₄×C₂₉	—	4	4	no	—
434	D₄×C₂₉	—	4	4	no	—
435	D₄×C₂₉	—	4	4	no	—
436	D₄×C₂₉	—	4	8	no	—
437	D₄×C₂₉	—	4	16	no	—
438	C₂×C₄×C₂₉	—	2	2	no	—
439	C₂×C₄×C₂₉	—	2	4	no	—
440	C₂×C₄×C₂₉	—	2	4	no	—
441	C₂×C₄×C₂₉	—	2	8	no	—
442	C₂×C₄×C₂₉	—	2	8	no	—
443	C₂×C₄×C₂₉	—	2	4	no	—
444	C₂×C₄×C₂₉	—	2	4	no	—
445	C₂×C₄×C₂₉	—	2	4	no	—
446	C₂×C₄×C₂₉	—	2	8	no	—
447	C₂×C₄×C₂₉	—	2	8	no	—
448	C₂×C₄×C₂₉	—	4	2	no	—
449	C₂×C₄×C₂₉	—	4	2	no	—
450	C₂×C₄×C₂₉	—	4	2	no	—
451	C₂×C₄×C₂₉	—	4	8	no	—
452	C₂×C₄×C₂₉	—	4	16	no	—
453	C₂×C₄×C₂₉	—	4	8	no	—
454	C₂×C₄×C₂₉	—	4	16	no	—
455	C₂×C₄×C₂₉	2₋¹⁺⁴	1	4	yes	—
456	C₂×C₄×C₂₉	C₂⁵	1	2	yes	—
457	C₂×C₄×C₂₉	C₂⁵	1	2	yes	—
458	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
459	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
460	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
461	C₂×C₄×C₂₉	C₂⁵	1	2	yes	—
462	C₂×C₄×C₂₉	C₂⁵	1	8	yes	—
463	C₂×C₄×C₂₉	C₂⁵	1	16	yes	—
464	C₂×C₄×C₂₉	C₂⁵	1	2	yes	—
465	C₂×C₄×C₂₉	C₂⁵	1	4	yes	—
466	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
467	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
468	C₂×C₄×C₂₉	C₂⁵	1	2	yes	—
469	#3565	C₂×C₂₉	1	8	yes	complemented
470	#3555	C₂×C₂₉	1	4	yes	complemented
471	#3547	C₂×C₂₉	1	4	yes	complemented
472	#3541	C₂×C₂₉	1	8	yes	complemented
473	#3518	C₂×C₂₉	1	4	yes	complemented
474	#3516	C₂×C₂₉	1	8	yes	complemented
475	#3515	C₂×C₂₉	1	4	yes	complemented
476	#3512	C₂×C₂₉	1	2	yes	complemented
477	#3511	C₂×C₂₉	1	2	yes	complemented
478	#3511	C₂×C₂₉	1	4	yes	complemented
479	#3509	C₂×C₂₉	1	4	yes	complemented
480	#3504	C₂×C₂₉	1	2	yes	complemented
481	#3503	C₂×C₂₉	1	2	yes	complemented
482	#3493	C₂×C₂₉	1	4	yes	complemented
483	#3444	C₂×C₂₉	1	1	yes	characteristic, complemented
484	#3444	C₂×C₂₉	1	1	yes	characteristic, complemented
485	C₂×#533	C₂×C₂₉	1	1	yes	characteristic, complemented
486	C₂²×C₂₉	—	2	2	no	—
487	C₂²×C₂₉	—	2	2	no	—
488	C₂²×C₂₉	—	2	4	no	—
489	C₂²×C₂₉	—	2	4	no	—
490	C₂²×C₂₉	—	2	4	no	—
491	C₂²×C₂₉	—	2	2	no	—
492	C₂²×C₂₉	—	2	2	no	—
493	C₂²×C₂₉	—	2	4	no	—
494	C₂²×C₂₉	—	2	8	no	—
495	C₂²×C₂₉	—	4	4	no	—
496	C₂²×C₂₉	C₂×2₋¹⁺⁴	1	2	yes	—
497	C₂²×C₂₉	C₂⁶	1	1	yes	characteristic
498	C₄×C₂₉	—	2	2	no	—
499	C₄×C₂₉	—	2	4	no	—
500	C₄×C₂₉	—	2	4	no	—
501	C₄×C₂₉	—	2	2	no	—
502	C₄×C₂₉	—	2	4	no	—
503	C₄×C₂₉	—	2	2	no	—
504	C₄×C₂₉	—	2	2	no	—
505	C₄×C₂₉	—	2	4	no	—
506	C₄×C₂₉	—	2	16	no	—
507	C₄×C₂₉	—	2	8	no	—
508	C₄×C₂₉	C₂×2₋¹⁺⁴	1	2	yes	—
509	C₄×C₂₉	C₂×2₋¹⁺⁴	1	2	yes	—
510	C₄×C₂₉	#585	1	4	yes	—
511	#563	C₂²×C₂₉	1	16	yes	—
512	#562	C₂²×C₂₉	1	16	yes	—
513	Q₈²	C₂²×C₂₉	1	4	yes	complemented
514	#557	C₂²×C₂₉	1	4	yes	complemented
515	#557	C₂²×C₂₉	1	8	yes	complemented
516	#557	C₂²×C₂₉	1	8	yes	complemented
517	#556	C₂²×C₂₉	1	8	yes	—
518	#556	C₂²×C₂₉	1	8	yes	—
519	#556	C₂²×C₂₉	1	8	yes	—
520	#556	C₂²×C₂₉	1	8	yes	complemented
521	#556	C₂²×C₂₉	1	4	yes	complemented
522	#556	C₂²×C₂₉	1	16	yes	complemented
523	#555	C₂²×C₂₉	1	8	yes	—
524	#555	C₂²×C₂₉	1	8	yes	—
525	#555	C₂²×C₂₉	1	4	yes	complemented
526	#554	C₂²×C₂₉	1	8	yes	—
527	#554	C₂²×C₂₉	1	16	yes	—
528	#554	C₂²×C₂₉	1	4	yes	complemented
529	#554	C₂²×C₂₉	1	8	yes	complemented
530	#554	C₂²×C₂₉	1	4	yes	complemented
531	#553	C₂²×C₂₉	1	8	yes	—
532	#553	C₂²×C₂₉	1	8	yes	—
533	#553	C₂²×C₂₉	1	8	yes	—
534	#553	C₂²×C₂₉	1	16	yes	—
535	#553	C₂²×C₂₉	1	8	yes	complemented
536	#552	C₂²×C₂₉	1	8	yes	—
537	#552	C₂²×C₂₉	1	8	yes	—
538	#552	C₂²×C₂₉	1	8	yes	—
539	#552	C₂²×C₂₉	1	8	yes	complemented
540	#552	C₂²×C₂₉	1	8	yes	complemented
541	#552	C₂²×C₂₉	1	16	yes	complemented
542	D₄×Q₈	C₂²×C₂₉	1	8	yes	—
543	D₄×Q₈	C₂²×C₂₉	1	4	yes	complemented
544	#548	C₂²×C₂₉	1	8	yes	—
545	#548	C₂²×C₂₉	1	8	yes	—
546	#548	C₂²×C₂₉	1	8	yes	complemented
547	#547	C₂²×C₂₉	1	8	yes	—
548	#547	C₂²×C₂₉	1	4	yes	complemented
549	#544	C₂²×C₂₉	1	4	yes	—
550	#544	C₂²×C₂₉	1	8	yes	complemented
551	#544	C₂²×C₂₉	1	8	yes	complemented
552	#542	C₂²×C₂₉	1	8	yes	—
553	#542	C₂²×C₂₉	1	16	yes	—
554	#542	C₂²×C₂₉	1	8	yes	complemented
555	#542	C₂²×C₂₉	1	8	yes	complemented
556	#542	C₂²×C₂₉	1	16	yes	complemented
557	#541	C₂²×C₂₉	1	8	yes	—
558	#541	C₂²×C₂₉	1	8	yes	complemented
559	#541	C₂²×C₂₉	1	4	yes	complemented
560	#541	C₂²×C₂₉	1	16	yes	complemented
561	#540	C₂²×C₂₉	1	4	yes	complemented
562	#539	C₂²×C₂₉	1	16	yes	—
563	#538	C₂²×C₂₉	1	16	yes	—
564	#537	C₂²×C₂₉	1	4	yes	—
565	#537	C₂²×C₂₉	1	8	yes	—
566	#536	C₂²×C₂₉	1	8	yes	—
567	#533	C₂²×C₂₉	1	4	yes	—
568	#533	C₂²×C₂₉	1	4	yes	—
569	#533	C₂²×C₂₉	1	4	yes	—
570	#533	C₂²×C₂₉	1	4	yes	—
571	#533	C₂²×C₂₉	1	1	yes	characteristic
572	#533	C₂²×C₂₉	1	1	yes	characteristic
573	#533	C₂²×C₂₉	1	2	yes	—
574	#533	C₂²×C₂₉	1	2	yes	—
575	#533	C₂²×C₂₉	1	4	yes	complemented
576	#533	C₂²×C₂₉	1	4	yes	complemented
577	#533	C₂²×C₂₉	1	4	yes	complemented
578	#532	C₂²×C₂₉	1	1	yes	characteristic
579	#532	C₂²×C₂₉	1	2	yes	—
580	#532	C₂²×C₂₉	1	1	yes	characteristic
581	#532	C₂²×C₂₉	1	2	yes	—
582	#532	C₂²×C₂₉	1	4	yes	complemented
583	C₂×C₄⋊Q₈	C₂²×C₂₉	1	2	yes	—
584	C₂×C₄⋊Q₈	C₂²×C₂₉	1	4	yes	complemented
585	#529	C₂²×C₂₉	1	2	yes	—
586	#529	C₂²×C₂₉	1	4	yes	—
587	#529	C₂²×C₂₉	1	4	yes	—
588	#529	C₂²×C₂₉	1	2	yes	—
589	#529	C₂²×C₂₉	1	4	yes	—
590	#529	C₂²×C₂₉	1	4	yes	—
591	#529	C₂²×C₂₉	1	4	yes	—
592	#529	C₂²×C₂₉	1	16	yes	—
593	#529	C₂²×C₂₉	1	8	yes	complemented
594	C₂×#125	C₂²×C₂₉	1	2	yes	—
595	C₂×#125	C₂²×C₂₉	1	4	yes	complemented
596	#525	C₂²×C₂₉	1	2	yes	—
597	#525	C₂²×C₂₉	1	2	yes	—
598	#525	C₂²×C₂₉	1	4	yes	—
599	#525	C₂²×C₂₉	1	4	yes	—
600	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	4	yes	—
601	#520	C₂²×C₂₉	1	4	yes	—
602	#520	C₂²×C₂₉	1	4	yes	—
603	#520	C₂²×C₂₉	1	8	yes	complemented
604	#519	C₂²×C₂₉	1	8	yes	complemented
605	C₄×#41	C₂²×C₂₉	1	2	yes	—
606	C₄×#41	C₂²×C₂₉	1	2	yes	—
607	C₄×#41	C₂²×C₂₉	1	4	yes	—
608	C₄×#41	C₂²×C₂₉	1	4	yes	—
609	C₂×C₄×Q₈	C₂²×C₂₉	1	4	yes	—
610	C₂×#117	C₂²×C₂₉	1	2	yes	—
611	C₂²×C₄²	C₂²×C₂₉	1	1	yes	characteristic
612	C₂×C₂₉	—	2	2	no	—
613	C₂×C₂₉	—	4	4	no	—
614	C₂×C₂₉	—	4	4	no	—
615	C₂×C₂₉	—	4	2	no	—
616	C₂×C₂₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
617	C₂×C₂₉	C₂×#585	1	2	yes	—
618	C₂×#41	C₂³×C₂₉	1	2	yes	—
619	C₂×#41	C₂³×C₂₉	1	2	yes	—
620	C₂×#41	C₂³×C₂₉	1	4	yes	—
621	C₂×#41	C₂³×C₂₉	1	4	yes	—
622	C₂×#41	C₂³×C₂₉	1	8	yes	—
623	C₂²×Q₈	C₂³×C₂₉	1	4	yes	—
624	C₂²×Q₈	C₂³×C₂₉	1	8	yes	—
625	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
626	C₂³×C₄	C₂³×C₂₉	1	2	yes	—
627	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
628	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
629	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
630	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
631	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
632	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
633	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
634	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
635	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
636	C₄⋊Q₈	C₂³×C₂₉	1	1	yes	characteristic
637	C₄⋊Q₈	C₂³×C₂₉	1	2	yes	—
638	C₄⋊Q₈	C₂³×C₂₉	1	8	yes	—
639	C₄⋊Q₈	C₂³×C₂₉	1	16	yes	—
640	C₄⋊Q₈	C₂³×C₂₉	1	16	yes	—
641	#127	C₂³×C₂₉	1	1	yes	characteristic
642	#127	C₂³×C₂₉	1	1	yes	characteristic
643	#126	C₂³×C₂₉	1	8	yes	—
644	#126	C₂³×C₂₉	1	4	yes	—
645	#126	C₂³×C₂₉	1	4	yes	—
646	#126	C₂³×C₂₉	1	16	yes	—
647	#126	C₂³×C₂₉	1	16	yes	—
648	#126	C₂³×C₂₉	1	16	yes	—
649	#126	C₂³×C₂₉	1	16	yes	—
650	#126	C₂³×C₂₉	1	16	yes	—
651	#126	C₂³×C₂₉	1	16	yes	—
652	#126	C₂³×C₂₉	1	16	yes	—
653	#125	C₂³×C₂₉	1	4	yes	—
654	#125	C₂³×C₂₉	1	4	yes	—
655	#125	C₂³×C₂₉	1	8	yes	—
656	#125	C₂³×C₂₉	1	1	yes	characteristic
657	#125	C₂³×C₂₉	1	16	yes	—
658	#125	C₂³×C₂₉	1	8	yes	—
659	#125	C₂³×C₂₉	1	1	yes	characteristic
660	#125	C₂³×C₂₉	1	4	yes	—
661	#125	C₂³×C₂₉	1	2	yes	—
662	#125	C₂³×C₂₉	1	4	yes	—
663	#125	C₂³×C₂₉	1	16	yes	—
664	#125	C₂³×C₂₉	1	8	yes	—
665	#125	C₂³×C₂₉	1	8	yes	—
666	#125	C₂³×C₂₉	1	16	yes	—
667	#125	C₂³×C₂₉	1	16	yes	—
668	#125	C₂³×C₂₉	1	16	yes	—
669	#124	C₂³×C₂₉	1	2	yes	—
670	#124	C₂³×C₂₉	1	2	yes	—
671	#124	C₂³×C₂₉	1	4	yes	—
672	#124	C₂³×C₂₉	1	4	yes	—
673	#124	C₂³×C₂₉	1	16	yes	—
674	#124	C₂³×C₂₉	1	8	yes	—
675	#124	C₂³×C₂₉	1	16	yes	—
676	#124	C₂³×C₂₉	1	16	yes	—
677	#124	C₂³×C₂₉	1	16	yes	—
678	#123	C₂³×C₂₉	1	4	yes	—
679	#123	C₂³×C₂₉	1	4	yes	—
680	#123	C₂³×C₂₉	1	4	yes	—
681	#123	C₂³×C₂₉	1	4	yes	—
682	#123	C₂³×C₂₉	1	8	yes	—
683	#123	C₂³×C₂₉	1	16	yes	—
684	#123	C₂³×C₂₉	1	16	yes	—
685	#123	C₂³×C₂₉	1	16	yes	—
686	#123	C₂³×C₂₉	1	16	yes	—
687	#123	C₂³×C₂₉	1	16	yes	—
688	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
689	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
690	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
691	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
692	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
693	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
694	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
695	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
696	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
697	C₂²⋊Q₈	C₂³×C₂₉	1	2	yes	—
698	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
699	C₂²⋊Q₈	C₂³×C₂₉	1	16	yes	—
700	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
701	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
702	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
703	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
704	C₂²⋊Q₈	C₂³×C₂₉	1	8	yes	—
705	C₂²⋊Q₈	C₂³×C₂₉	1	16	yes	—
706	C₂²⋊Q₈	C₂³×C₂₉	1	16	yes	—
707	C₂²⋊Q₈	C₂³×C₂₉	1	16	yes	—
708	C₂²⋊Q₈	C₂³×C₂₉	1	16	yes	—
709	C₂²⋊Q₈	C₂³×C₂₉	1	16	yes	—
710	C₂²⋊Q₈	C₂³×C₂₉	1	16	yes	—
711	#121	C₂³×C₂₉	1	4	yes	—
712	#121	C₂³×C₂₉	1	4	yes	—
713	#121	C₂³×C₂₉	1	4	yes	—
714	#121	C₂³×C₂₉	1	2	yes	—
715	#121	C₂³×C₂₉	1	4	yes	—
716	#121	C₂³×C₂₉	1	2	yes	—
717	#121	C₂³×C₂₉	1	4	yes	—
718	#121	C₂³×C₂₉	1	16	yes	—
719	#121	C₂³×C₂₉	1	8	yes	—
720	#121	C₂³×C₂₉	1	8	yes	—
721	#121	C₂³×C₂₉	1	8	yes	—
722	#121	C₂³×C₂₉	1	16	yes	—
723	#121	C₂³×C₂₉	1	16	yes	—
724	#121	C₂³×C₂₉	1	16	yes	—
725	#120	C₂³×C₂₉	1	4	yes	—
726	#120	C₂³×C₂₉	1	4	yes	—
727	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
728	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
729	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
730	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
731	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
732	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
733	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
734	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
735	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
736	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
737	C₄×Q₈	C₂³×C₂₉	1	2	yes	—
738	C₄×Q₈	C₂³×C₂₉	1	16	yes	—
739	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
740	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
741	C₄×Q₈	C₂³×C₂₉	1	16	yes	—
742	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
743	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
744	C₄×Q₈	C₂³×C₂₉	1	8	yes	—
745	C₄×D₄	C₂³×C₂₉	1	4	yes	—
746	C₄×D₄	C₂³×C₂₉	1	8	yes	—
747	C₄×D₄	C₂³×C₂₉	1	4	yes	—
748	C₄×D₄	C₂³×C₂₉	1	4	yes	—
749	C₄×D₄	C₂³×C₂₉	1	4	yes	—
750	C₄×D₄	C₂³×C₂₉	1	4	yes	—
751	C₄×D₄	C₂³×C₂₉	1	4	yes	—
752	C₄×D₄	C₂³×C₂₉	1	8	yes	—
753	C₄×D₄	C₂³×C₂₉	1	8	yes	—
754	C₄×D₄	C₂³×C₂₉	1	4	yes	—
755	C₄×D₄	C₂³×C₂₉	1	2	yes	—
756	C₄×D₄	C₂³×C₂₉	1	4	yes	—
757	C₄×D₄	C₂³×C₂₉	1	4	yes	—
758	C₄×D₄	C₂³×C₂₉	1	2	yes	—
759	C₄×D₄	C₂³×C₂₉	1	4	yes	—
760	C₄×D₄	C₂³×C₂₉	1	4	yes	—
761	C₄×D₄	C₂³×C₂₉	1	16	yes	—
762	C₄×D₄	C₂³×C₂₉	1	16	yes	—
763	C₄×D₄	C₂³×C₂₉	1	8	yes	—
764	C₄×D₄	C₂³×C₂₉	1	8	yes	—
765	C₄×D₄	C₂³×C₂₉	1	16	yes	—
766	C₄×D₄	C₂³×C₂₉	1	16	yes	—
767	C₄×D₄	C₂³×C₂₉	1	8	yes	—
768	#117	C₂³×C₂₉	1	8	yes	—
769	#117	C₂³×C₂₉	1	8	yes	—
770	#117	C₂³×C₂₉	1	4	yes	—
771	#117	C₂³×C₂₉	1	2	yes	—
772	#117	C₂³×C₂₉	1	2	yes	—
773	#117	C₂³×C₂₉	1	4	yes	—
774	#117	C₂³×C₂₉	1	4	yes	—
775	#117	C₂³×C₂₉	1	4	yes	—
776	#117	C₂³×C₂₉	1	4	yes	—
777	#117	C₂³×C₂₉	1	4	yes	—
778	#117	C₂³×C₂₉	1	8	yes	—
779	#117	C₂³×C₂₉	1	16	yes	—
780	#117	C₂³×C₂₉	1	16	yes	—
781	#117	C₂³×C₂₉	1	8	yes	—
782	#117	C₂³×C₂₉	1	8	yes	—
783	#117	C₂³×C₂₉	1	8	yes	—
784	#117	C₂³×C₂₉	1	16	yes	—
785	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
786	C₂×C₄⋊C₄	C₂³×C₂₉	1	8	yes	—
787	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
788	C₂×C₄⋊C₄	C₂³×C₂₉	1	8	yes	—
789	C₂×C₄⋊C₄	C₂³×C₂₉	1	8	yes	—
790	C₂×C₄⋊C₄	C₂³×C₂₉	1	16	yes	—
791	C₂×C₄⋊C₄	C₂³×C₂₉	1	8	yes	—
792	C₂×C₂²⋊C₄	C₂³×C₂₉	1	4	yes	—
793	C₂×C₄²	C₂³×C₂₉	1	4	yes	—
794	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
795	C₂×C₄²	C₂³×C₂₉	1	4	yes	—
796	C₂×C₄²	C₂³×C₂₉	1	4	yes	—
797	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
799	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
800	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
801	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
802	C₂×C₄²	C₂³×C₂₉	1	2	yes	—
803	C₂₉	#62838	1	1	yes	characteristic, direct product factor, Sylow
804	C₂⁴	C₂⁴×C₂₉	1	1	yes	characteristic
805	#41	—	2	8	no	—
806	#41	—	2	8	no	—
807	#41	—	4	8	no	—
808	#41	—	4	8	no	—
809	#41	—	4	16	no	—
810	C₂×Q₈	—	4	8	no	—
811	C₂×Q₈	—	4	16	no	—
812	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
813	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
814	C₂×Q₈	C₂⁴×C₂₉	1	8	yes	—
815	C₂×Q₈	C₂⁴×C₂₉	1	4	yes	—
816	C₂×Q₈	C₂⁴×C₂₉	1	8	yes	—
817	C₂×Q₈	C₂⁴×C₂₉	1	4	yes	—
818	C₂×Q₈	C₂⁴×C₂₉	1	16	yes	—
819	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
820	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
821	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
822	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
823	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
824	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
825	C₂×D₄	C₂⁴×C₂₉	1	8	yes	—
826	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
827	C₂×D₄	C₂⁴×C₂₉	1	16	yes	—
828	C₂×D₄	C₂⁴×C₂₉	1	4	yes	—
829	C₂²×C₄	—	2	4	no	—
830	C₂²×C₄	—	4	4	no	—
831	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
833	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
834	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
835	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
836	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
837	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
838	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
839	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
840	C₂²×C₄	C₂⁴×C₂₉	1	4	yes	—
841	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
842	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
843	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
844	C₂²×C₄	C₂⁴×C₂₉	1	8	yes	—
845	C₂²×C₄	C₂⁴×C₂₉	1	8	yes	—
846	C₂²×C₄	C₂⁴×C₂₉	1	16	yes	—
847	C₂²×C₄	C₂⁴×C₂₉	1	16	yes	—
848	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
849	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
850	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
851	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
852	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
853	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
854	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
855	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
856	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
857	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
858	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
859	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
860	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
861	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
862	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
863	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
864	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
865	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
866	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
867	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
868	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
869	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
870	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
871	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
872	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
873	C₄⋊C₄	C₂⁴×C₂₉	1	8	yes	—
874	C₄⋊C₄	C₂⁴×C₂₉	1	4	yes	—
875	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
876	C₄⋊C₄	C₂⁴×C₂₉	1	16	yes	—
877	C₂²⋊C₄	C₂⁴×C₂₉	1	16	yes	—
878	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
879	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
880	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
881	C₂²⋊C₄	C₂⁴×C₂₉	1	16	yes	—
882	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
883	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
884	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
885	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
886	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
887	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
888	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
889	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
890	C₂²⋊C₄	C₂⁴×C₂₉	1	16	yes	—
891	C₂²⋊C₄	C₂⁴×C₂₉	1	16	yes	—
892	C₂²⋊C₄	C₂⁴×C₂₉	1	16	yes	—
893	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
894	C₂²⋊C₄	C₂⁴×C₂₉	1	4	yes	—
895	C₂²⋊C₄	C₂⁴×C₂₉	1	8	yes	—
896	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
897	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
898	C₄²	C₂⁴×C₂₉	1	2	yes	—
899	C₄²	C₂⁴×C₂₉	1	2	yes	—
900	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
901	C₄²	C₂⁴×C₂₉	1	1	yes	characteristic
902	C₄²	C₂⁴×C₂₉	1	2	yes	—
903	C₄²	C₂⁴×C₂₉	1	2	yes	—
904	C₄²	C₂⁴×C₂₉	1	2	yes	—
905	C₄²	C₂⁴×C₂₉	1	2	yes	—
906	C₄²	C₂⁴×C₂₉	1	8	yes	—
907	C₄²	C₂⁴×C₂₉	1	16	yes	—
908	C₄²	C₂⁴×C₂₉	1	4	yes	—
909	C₄²	C₂⁴×C₂₉	1	4	yes	—
910	C₄²	C₂⁴×C₂₉	1	4	yes	—
911	C₄²	C₂⁴×C₂₉	1	4	yes	—
912	C₄²	C₂⁴×C₂₉	1	16	yes	—
913	C₄²	C₂⁴×C₂₉	1	16	yes	—
914	C₂³	—	2	2	no	—
915	C₂³	—	4	2	no	—
916	C₂³	C₂⁵×C₂₉	1	2	yes	—
917	C₂³	C₂⁵×C₂₉	1	4	yes	—
918	C₂³	C₂⁵×C₂₉	1	4	yes	—
919	C₂³	C₂⁵×C₂₉	1	1	yes	characteristic
920	Q₈	—	2	4	no	—
921	Q₈	—	2	4	no	—
922	Q₈	—	2	16	no	—
923	Q₈	—	2	8	no	—
924	Q₈	—	4	8	no	—
925	Q₈	—	4	16	no	—
926	Q₈	—	4	4	no	—
927	D₄	—	2	8	no	—
928	D₄	—	2	8	no	—
929	D₄	—	2	4	no	—
930	D₄	—	2	4	no	—
931	D₄	—	2	8	no	—
932	D₄	—	4	4	no	—
933	D₄	—	4	4	no	—
934	D₄	—	4	4	no	—
935	D₄	—	4	8	no	—
936	D₄	—	4	16	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	4	no	—
939	C₂×C₄	—	2	4	no	—
940	C₂×C₄	—	2	8	no	—
941	C₂×C₄	—	2	8	no	—
942	C₂×C₄	—	2	4	no	—
943	C₂×C₄	—	2	4	no	—
944	C₂×C₄	—	2	4	no	—
945	C₂×C₄	—	2	8	no	—
946	C₂×C₄	—	2	8	no	—
947	C₂×C₄	—	4	2	no	—
948	C₂×C₄	—	4	2	no	—
949	C₂×C₄	—	4	2	no	—
950	C₂×C₄	—	4	8	no	—
951	C₂×C₄	—	4	16	no	—
952	C₂×C₄	—	4	8	no	—
953	C₂×C₄	—	4	16	no	—
954	C₂×C₄	C₂₉×2₋¹⁺⁴	1	4	yes	—
955	C₂×C₄	C₂⁵×C₂₉	1	2	yes	—
956	C₂×C₄	C₂⁵×C₂₉	1	2	yes	—
957	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
958	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
959	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
960	C₂×C₄	C₂⁵×C₂₉	1	2	yes	—
961	C₂×C₄	C₂⁵×C₂₉	1	8	yes	—
962	C₂×C₄	C₂⁵×C₂₉	1	16	yes	—
963	C₂×C₄	C₂⁵×C₂₉	1	2	yes	—
964	C₂×C₄	C₂⁵×C₂₉	1	4	yes	—
965	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
966	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
967	C₂×C₄	C₂⁵×C₂₉	1	2	yes	—
968	C₂²	—	2	2	no	—
969	C₂²	—	2	2	no	—
970	C₂²	—	2	4	no	—
971	C₂²	—	2	4	no	—
972	C₂²	—	2	4	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	4	no	—
976	C₂²	—	2	8	no	—
977	C₂²	—	4	4	no	—
978	C₂²	C₂×C₂₉×2₋¹⁺⁴	1	2	yes	—
979	C₂²	C₂⁶×C₂₉	1	1	yes	characteristic
980	C₄	—	2	2	no	—
981	C₄	—	2	4	no	—
982	C₄	—	2	4	no	—
983	C₄	—	2	2	no	—
984	C₄	—	2	4	no	—
985	C₄	—	2	2	no	—
986	C₄	—	2	2	no	—
987	C₄	—	2	4	no	—
988	C₄	—	2	16	no	—
989	C₄	—	2	8	no	—
990	C₄	C₂×C₂₉×2₋¹⁺⁴	1	2	yes	—
991	C₄	C₂×C₂₉×2₋¹⁺⁴	1	2	yes	—
992	C₄	C₂₉×#585	1	4	yes	—
993	C₂	—	2	2	no	—
994	C₂	—	4	2	no	—
995	C₂	—	4	4	no	—
996	C₂	—	4	4	no	—
997	C₂	C₂²×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
998	C₂	C₂×C₂₉×#585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₂₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₂₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₂₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂₉×#3565	C₂	semidirect
2. C₂₉×#3555	C₂	semidirect
3. C₂₉×#3547	C₂	semidirect
4. C₂₉×#3541	C₂	semidirect
5. C₂₉×#3518	C₂	semidirect
6. C₂₉×#3516	C₂	semidirect
7. C₂₉×#3515	C₂	semidirect
8. C₂₉×#3512	C₂	semidirect
9. C₂₉×#3511	C₂	semidirect
10. C₂₉×#3511	C₂	semidirect
11. C₂₉×#3509	C₂	semidirect
12. C₂₉×#3504	C₂	semidirect
13. C₂₉×#3503	C₂	semidirect
14. C₂₉×#3493	C₂	semidirect
15. C₂₉×#3444	C₂	semidirect
16. C₂₉×#3444	C₂	semidirect
17. C₂×C₂₉×#533	C₂	semidirect
20. Q₈²×C₂₉	C₂²	semidirect
21. C₂₉×#557	C₂²	semidirect
22. C₂₉×#557	C₂²	semidirect
23. C₂₉×#557	C₂²	semidirect
27. C₂₉×#556	C₂²	semidirect
28. C₂₉×#556	C₂²	semidirect
29. C₂₉×#556	C₂²	semidirect
32. C₂₉×#555	C₂²	semidirect
35. C₂₉×#554	C₂²	semidirect
36. C₂₉×#554	C₂²	semidirect
37. C₂₉×#554	C₂²	semidirect
42. C₂₉×#553	C₂²	semidirect
46. C₂₉×#552	C₂²	semidirect
47. C₂₉×#552	C₂²	semidirect
48. C₂₉×#552	C₂²	semidirect
50. D₄×Q₈×C₂₉	C₂²	semidirect
53. C₂₉×#548	C₂²	semidirect
55. C₂₉×#547	C₂²	semidirect
57. C₂₉×#544	C₂²	semidirect
58. C₂₉×#544	C₂²	semidirect
61. C₂₉×#542	C₂²	semidirect
62. C₂₉×#542	C₂²	semidirect
63. C₂₉×#542	C₂²	semidirect
65. C₂₉×#541	C₂²	semidirect
66. C₂₉×#541	C₂²	semidirect
67. C₂₉×#541	C₂²	semidirect
68. C₂₉×#540	C₂²	semidirect
82. C₂₉×#533	C₂²	semidirect
83. C₂₉×#533	C₂²	semidirect
84. C₂₉×#533	C₂²	semidirect
89. C₂₉×#532	C₂²	semidirect
91. C₂×C₂₉×C₄⋊Q₈	C₂²	semidirect
100. C₂₉×#529	C₂²	semidirect
102. C₂×C₂₉×#125	C₂²	semidirect
110. C₂₉×#520	C₂²	semidirect
111. C₂₉×#519	C₂²	semidirect
414. #62838	C₂₉	direct (N × H)
469. #3565	C₂×C₂₉	semidirect
470. #3555	C₂×C₂₉	semidirect
471. #3547	C₂×C₂₉	semidirect
472. #3541	C₂×C₂₉	semidirect
473. #3518	C₂×C₂₉	semidirect
474. #3516	C₂×C₂₉	semidirect
475. #3515	C₂×C₂₉	semidirect
476. #3512	C₂×C₂₉	semidirect
477. #3511	C₂×C₂₉	semidirect
478. #3511	C₂×C₂₉	semidirect
479. #3509	C₂×C₂₉	semidirect
480. #3504	C₂×C₂₉	semidirect
481. #3503	C₂×C₂₉	semidirect
482. #3493	C₂×C₂₉	semidirect
483. #3444	C₂×C₂₉	semidirect
484. #3444	C₂×C₂₉	semidirect
485. C₂×#533	C₂×C₂₉	semidirect
513. Q₈²	C₂²×C₂₉	semidirect
514. #557	C₂²×C₂₉	semidirect
515. #557	C₂²×C₂₉	semidirect
516. #557	C₂²×C₂₉	semidirect
520. #556	C₂²×C₂₉	semidirect
521. #556	C₂²×C₂₉	semidirect
522. #556	C₂²×C₂₉	semidirect
525. #555	C₂²×C₂₉	semidirect
528. #554	C₂²×C₂₉	semidirect
529. #554	C₂²×C₂₉	semidirect
530. #554	C₂²×C₂₉	semidirect
535. #553	C₂²×C₂₉	semidirect
539. #552	C₂²×C₂₉	semidirect
540. #552	C₂²×C₂₉	semidirect
541. #552	C₂²×C₂₉	semidirect
543. D₄×Q₈	C₂²×C₂₉	semidirect
546. #548	C₂²×C₂₉	semidirect
548. #547	C₂²×C₂₉	semidirect
550. #544	C₂²×C₂₉	semidirect
551. #544	C₂²×C₂₉	semidirect
554. #542	C₂²×C₂₉	semidirect
555. #542	C₂²×C₂₉	semidirect
556. #542	C₂²×C₂₉	semidirect
558. #541	C₂²×C₂₉	semidirect
559. #541	C₂²×C₂₉	semidirect
560. #541	C₂²×C₂₉	semidirect
561. #540	C₂²×C₂₉	semidirect
575. #533	C₂²×C₂₉	semidirect
576. #533	C₂²×C₂₉	semidirect
577. #533	C₂²×C₂₉	semidirect
582. #532	C₂²×C₂₉	semidirect
584. C₂×C₄⋊Q₈	C₂²×C₂₉	semidirect
593. #529	C₂²×C₂₉	semidirect
595. C₂×#125	C₂²×C₂₉	semidirect
603. #520	C₂²×C₂₉	semidirect
604. #519	C₂²×C₂₉	semidirect
803. C₂₉	#62838	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×#3565	2
C₂₉×#3555	2
C₂₉×#3547	2
C₂₉×#3541	2
C₂₉×#3518	2
C₂₉×#3516	2
C₂₉×#3515	2
C₂₉×#3512	2
C₂₉×#3511	2
C₂₉×#3509	2
C₂₉×#3504	2
C₂₉×#3503	2
C₂₉×#3493	2
C₂₉×#3444	2
C₂×C₂₉×#533	2
#62838	29

Subgroups — C29×#62838 #20357738

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₉×#62838 #20357738