Subgroups — C₂×C₂₉×#3243 #20355757

Order 7424.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₉×#544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₂₉×#542	C₂	1	1	yes	maximal, characteristic
3	C₂₉×#3243	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₂₉×#501	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₂₉×#500	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₂₉×#489	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₂₉×#488	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₂₉×#484	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₂₉×#485	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₂₉×#482	C₂	1	1	yes	maximal, characteristic
11	C₂×C₂₉×#480	C₂	1	1	yes	maximal, characteristic
12	C₂×C₂₉×#479	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₂₉×#477	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₂₉×#478	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₂₉×#474	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₂₉×#433	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂₉×#544	—	2	4	no	—
18	C₂₉×#544	C₂²	1	8	yes	complemented
19	C₂₉×#542	—	2	4	no	—
20	C₂₉×#542	C₂²	1	8	yes	—
21	C₂×C₂₉×C₄⋊Q₈	—	2	1	no	—
22	C₂×C₂₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₂₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₂₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₂₉×#126	—	2	1	no	—
26	C₂×C₂₉×#125	—	2	1	no	—
27	C₂×C₂₉×#125	C₂²	1	1	yes	characteristic
28	C₂×C₂₉×#125	C₂²	1	1	yes	characteristic
29	C₂×C₂₉×#124	—	2	1	no	—
30	C₂×C₂₉×#124	C₂²	1	1	yes	characteristic
31	C₂×C₂₉×#123	—	2	1	no	—
32	C₂×C₂₉×C₂²⋊Q₈	—	2	1	no	—
33	C₂×C₂₉×C₂²⋊Q₈	—	2	1	no	—
34	C₂×C₂₉×C₂²⋊Q₈	—	2	1	no	—
35	C₂×C₂₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₂₉×#121	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₂₉	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₂₉	C₂²	1	1	yes	characteristic
39	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
40	C₂×C₂₉×#117	C₂²	1	1	yes	characteristic
41	C₂²×C₄⋊C₄×C₂₉	C₂²	1	1	yes	characteristic
42	C₂₉×#501	C₂²	1	8	yes	complemented
43	C₂₉×#500	C₂²	1	8	yes	complemented
44	C₂₉×#489	C₂²	1	8	yes	complemented
45	C₂₉×#488	C₂²	1	8	yes	complemented
46	C₂₉×#485	C₂²	1	8	yes	complemented
47	C₂₉×#484	C₂²	1	8	yes	complemented
48	C₂₉×#482	C₂²	1	8	yes	—
49	C₂₉×#480	C₂²	1	8	yes	—
50	C₂₉×#479	C₂²	1	8	yes	complemented
51	C₂₉×#478	C₂²	1	8	yes	complemented
52	C₂₉×#477	C₂²	1	8	yes	complemented
53	C₂₉×#474	C₂²	1	8	yes	complemented
54	C₂₉×#433	C₂²	1	8	yes	complemented
55	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
56	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
57	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
58	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
59	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
60	C₂×C₂₉×#107	C₂²	1	1	yes	characteristic
61	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
62	C₂×C₂₉×#106	C₂²	1	1	yes	characteristic
63	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
64	C₂×C₂₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
65	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
66	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
67	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
68	C₂×C₂₉×#103	C₂²	1	1	yes	characteristic
69	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
70	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
71	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
72	C₂×C₂₉×#102	C₂²	1	1	yes	characteristic
73	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
74	C₂×C₂₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
75	C₂×C₂₉×#97	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₈×C₂₉	C₂²	1	1	yes	characteristic
77	C₂²×Q₈×C₂₉	—	2	1	no	—
78	C₂²×Q₈×C₂₉	—	2	1	no	—
79	C₂²×Q₈×C₂₉	—	2	1	no	—
80	C₂²×Q₈×C₂₉	C₂³	1	1	yes	characteristic
81	C₂²×D₄×C₂₉	—	2	1	no	—
82	C₂²×D₄×C₂₉	C₂³	1	1	yes	characteristic
83	C₂³×C₄×C₂₉	—	2	1	no	—
84	C₂³×C₄×C₂₉	—	2	1	no	—
85	C₂³×C₄×C₂₉	C₂³	1	1	yes	characteristic
86	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
87	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
88	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
89	C₂²×C₈×C₂₉	C₂³	1	1	yes	characteristic
90	C₂₉×C₄⋊Q₈	—	2	8	no	—
91	C₂₉×C₄⋊Q₈	—	2	2	no	—
92	C₂₉×C₄⋊Q₈	—	2	2	no	—
93	C₂₉×C₄⋊Q₈	—	2	2	no	—
94	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
95	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
96	C₂₉×C₄⋊Q₈	C₂³	1	4	yes	—
97	C₂₉×#126	—	2	8	no	—
98	C₂₉×#125	—	2	8	no	—
99	C₂₉×#125	—	2	2	no	—
100	C₂₉×#125	—	2	2	no	—
101	C₂₉×#125	C₂³	1	4	yes	—
102	C₂₉×#125	C₂³	1	4	yes	—
103	C₂₉×#124	—	2	8	no	—
104	C₂₉×#124	—	2	2	no	—
105	C₂₉×#124	C₂³	1	4	yes	—
106	C₂₉×#123	—	2	8	no	—
107	C₂₉×C₂²⋊Q₈	—	2	2	no	—
108	C₂₉×C₂²⋊Q₈	—	2	8	no	—
109	C₂₉×C₂²⋊Q₈	—	2	8	no	—
110	C₂₉×C₂²⋊Q₈	—	2	8	no	—
111	C₂₉×C₂²⋊Q₈	C₂³	1	4	yes	—
112	C₂₉×#121	—	2	2	no	—
113	C₂₉×#121	C₂³	1	4	yes	—
114	C₄×Q₈×C₂₉	—	2	2	no	—
115	C₄×Q₈×C₂₉	C₂³	1	4	yes	—
116	C₄×D₄×C₂₉	—	2	2	no	—
117	C₄×D₄×C₂₉	C₂³	1	4	yes	—
118	C₂₉×#117	—	2	2	no	—
119	C₂₉×#117	D₄	1	4	yes	—
120	C₂₉×#117	C₂³	1	4	yes	—
121	C₂₉×#117	C₂³	1	4	yes	—
122	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
123	C₂×C₄⋊C₄×C₂₉	—	2	2	no	—
124	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
125	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
126	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
127	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
128	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
129	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
130	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
131	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
132	C₂×C₄⋊C₄×C₂₉	—	2	1	no	—
133	C₂×C₄⋊C₄×C₂₉	D₄	1	1	yes	characteristic
134	C₂×C₄⋊C₄×C₂₉	D₄	1	1	yes	characteristic
135	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
136	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
137	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
138	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
139	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
140	C₂×C₄⋊C₄×C₂₉	C₂³	1	1	yes	characteristic
141	C₂×C₄⋊C₄×C₂₉	C₂³	1	4	yes	—
142	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
143	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
144	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
145	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
146	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
147	C₂×C₂²⋊C₄×C₂₉	—	2	1	no	—
148	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
149	C₂×C₂²⋊C₄×C₂₉	D₄	1	1	yes	characteristic
150	C₂×C₄²×C₂₉	—	2	1	no	—
151	C₂×C₄²×C₂₉	—	2	1	no	—
152	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
153	C₂×C₄²×C₂₉	C₂³	1	1	yes	characteristic
154	C₂₉×#107	C₂³	1	4	yes	—
155	C₂₉×#107	C₂³	1	4	yes	—
156	C₂₉×#107	C₂³	1	4	yes	—
157	C₂₉×#107	C₂³	1	4	yes	—
158	C₂₉×#107	C₂³	1	4	yes	—
159	C₂₉×#107	C₂³	1	4	yes	—
160	C₂₉×#106	C₂³	1	4	yes	—
161	C₂₉×#106	C₂³	1	4	yes	—
162	C₂₉×C₄⋊C₈	C₂³	1	4	yes	—
163	C₂₉×C₄⋊C₈	C₂³	1	4	yes	—
164	C₂₉×#103	C₂³	1	4	yes	—
165	C₂₉×#103	C₂³	1	4	yes	—
166	C₂₉×#103	C₂³	1	4	yes	—
167	C₂₉×#103	C₂³	1	4	yes	—
168	C₂₉×#102	C₂³	1	4	yes	—
169	C₂₉×#102	C₂³	1	4	yes	—
170	C₂₉×#102	C₂³	1	4	yes	—
171	C₂₉×#102	C₂³	1	4	yes	—
172	C₂₉×C₂²⋊C₈	C₂³	1	4	yes	—
173	C₂₉×C₂²⋊C₈	C₂³	1	4	yes	—
174	C₂₉×#97	C₂³	1	4	yes	—
175	C₄×C₈×C₂₉	C₂³	1	4	yes	—
176	C₂⁴×C₂₉	—	2	1	no	—
177	C₂⁴×C₂₉	C₂×D₄	1	1	yes	characteristic
178	C₂×Q₈×C₂₉	—	2	1	no	—
179	C₂×Q₈×C₂₉	—	2	4	no	—
180	C₂×Q₈×C₂₉	—	2	4	no	—
181	C₂×Q₈×C₂₉	—	2	4	no	—
182	C₂×Q₈×C₂₉	—	2	2	no	—
183	C₂×Q₈×C₂₉	—	2	2	no	—
184	C₂×Q₈×C₂₉	—	8	2	no	—
185	C₂×Q₈×C₂₉	—	8	2	no	—
186	C₂×Q₈×C₂₉	—	8	2	no	—
187	C₂×Q₈×C₂₉	C₂⁴	1	2	yes	—
188	C₂×D₄×C₂₉	—	2	4	no	—
189	C₂×D₄×C₂₉	—	2	1	no	—
190	C₂×D₄×C₂₉	—	2	2	no	—
191	C₂×D₄×C₂₉	—	2	2	no	—
192	C₂×D₄×C₂₉	—	8	2	no	—
193	C₂×D₄×C₂₉	C₂⁴	1	2	yes	—
194	C₂²×C₄×C₂₉	—	2	2	no	—
195	C₂²×C₄×C₂₉	—	2	2	no	—
196	C₂²×C₄×C₂₉	—	2	1	no	—
197	C₂²×C₄×C₂₉	—	2	1	no	—
198	C₂²×C₄×C₂₉	—	2	1	no	—
199	C₂²×C₄×C₂₉	—	2	1	no	—
200	C₂²×C₄×C₂₉	—	2	1	no	—
201	C₂²×C₄×C₂₉	—	2	1	no	—
202	C₂²×C₄×C₂₉	—	2	1	no	—
203	C₂²×C₄×C₂₉	—	2	4	no	—
204	C₂²×C₄×C₂₉	—	2	4	no	—
205	C₂²×C₄×C₂₉	—	8	2	no	—
206	C₂²×C₄×C₂₉	—	8	2	no	—
207	C₂²×C₄×C₂₉	C₂×D₄	1	2	yes	—
208	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
210	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
211	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
212	C₂²×C₄×C₂₉	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₂₉	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₂₉	C₂⁴	1	1	yes	characteristic
215	C₂×C₈×C₂₉	—	2	2	no	—
216	C₂×C₈×C₂₉	—	2	2	no	—
217	C₂×C₈×C₂₉	—	2	2	no	—
218	C₂×C₈×C₂₉	—	2	2	no	—
219	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
220	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
221	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
222	C₂×C₈×C₂₉	C₂⁴	1	2	yes	—
223	C₄⋊C₄×C₂₉	—	2	4	no	—
224	C₄⋊C₄×C₂₉	—	2	1	no	—
225	C₄⋊C₄×C₂₉	—	2	1	no	—
226	C₄⋊C₄×C₂₉	—	2	4	no	—
227	C₄⋊C₄×C₂₉	—	2	4	no	—
228	C₄⋊C₄×C₂₉	—	2	4	no	—
229	C₄⋊C₄×C₂₉	—	2	4	no	—
230	C₄⋊C₄×C₂₉	—	2	4	no	—
231	C₄⋊C₄×C₂₉	—	2	4	no	—
232	C₄⋊C₄×C₂₉	—	2	4	no	—
233	C₄⋊C₄×C₂₉	—	2	4	no	—
234	C₄⋊C₄×C₂₉	—	2	4	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	C₂×D₄	1	4	yes	—
240	C₄⋊C₄×C₂₉	C₂×D₄	1	4	yes	—
241	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
242	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
243	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
244	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
245	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
246	C₄⋊C₄×C₂₉	C₂⁴	1	2	yes	—
247	C₂²⋊C₄×C₂₉	—	2	4	no	—
248	C₂²⋊C₄×C₂₉	—	2	4	no	—
249	C₂²⋊C₄×C₂₉	—	2	4	no	—
250	C₂²⋊C₄×C₂₉	—	2	4	no	—
251	C₂²⋊C₄×C₂₉	—	2	4	no	—
252	C₂²⋊C₄×C₂₉	—	2	4	no	—
253	C₂²⋊C₄×C₂₉	C₂×D₄	1	4	yes	—
254	C₂²⋊C₄×C₂₉	C₂×D₄	1	4	yes	—
255	C₄²×C₂₉	—	2	4	no	—
256	C₄²×C₂₉	—	2	4	no	—
257	C₄²×C₂₉	C₂×D₄	1	2	yes	—
258	C₄²×C₂₉	C₂×D₄	1	2	yes	—
259	C₄²×C₂₉	C₂⁴	1	2	yes	—
260	C₄²×C₂₉	C₂⁴	1	2	yes	—
261	C₂×#3243	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
262	C₂³×C₂₉	—	2	2	no	—
263	C₂³×C₂₉	—	2	2	no	—
264	C₂³×C₂₉	—	2	2	no	—
265	C₂³×C₂₉	—	2	2	no	—
266	C₂³×C₂₉	—	4	2	no	—
267	C₂³×C₂₉	—	4	2	no	—
268	C₂³×C₂₉	—	4	2	no	—
269	C₂³×C₂₉	C₂²×D₄	1	2	yes	—
270	C₂³×C₂₉	C₂²×D₄	1	1	yes	characteristic
271	Q₈×C₂₉	—	2	2	no	—
272	Q₈×C₂₉	—	2	2	no	—
273	Q₈×C₂₉	—	4	2	no	—
274	Q₈×C₂₉	—	8	4	no	—
275	Q₈×C₂₉	—	8	4	no	—
276	Q₈×C₂₉	—	8	4	no	—
277	D₄×C₂₉	—	2	2	no	—
278	D₄×C₂₉	—	2	2	no	—
279	D₄×C₂₉	—	4	2	no	—
280	D₄×C₂₉	—	8	4	no	—
281	C₂×C₄×C₂₉	—	2	2	no	—
282	C₂×C₄×C₂₉	—	2	2	no	—
283	C₂×C₄×C₂₉	—	2	2	no	—
284	C₂×C₄×C₂₉	—	2	2	no	—
285	C₂×C₄×C₂₉	—	2	2	no	—
286	C₂×C₄×C₂₉	—	2	4	no	—
287	C₂×C₄×C₂₉	—	2	2	no	—
288	C₂×C₄×C₂₉	—	2	2	no	—
289	C₂×C₄×C₂₉	—	2	2	no	—
290	C₂×C₄×C₂₉	—	2	2	no	—
291	C₂×C₄×C₂₉	—	2	2	no	—
292	C₂×C₄×C₂₉	—	2	2	no	—
293	C₂×C₄×C₂₉	—	2	2	no	—
294	C₂×C₄×C₂₉	—	2	2	no	—
295	C₂×C₄×C₂₉	—	2	2	no	—
296	C₂×C₄×C₂₉	—	4	2	no	—
297	C₂×C₄×C₂₉	—	4	2	no	—
298	C₂×C₄×C₂₉	—	4	2	no	—
299	C₂×C₄×C₂₉	—	4	2	no	—
300	C₂×C₄×C₂₉	—	4	2	no	—
301	C₂×C₄×C₂₉	—	4	2	no	—
302	C₂×C₄×C₂₉	—	4	2	no	—
303	C₂×C₄×C₂₉	—	8	4	no	—
304	C₂×C₄×C₂₉	—	8	4	no	—
305	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
306	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
307	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
308	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
309	C₂×C₄×C₂₉	C₂²×D₄	1	2	yes	—
310	C₂×C₄×C₂₉	C₂²×D₄	1	1	yes	characteristic
311	C₂×C₄×C₂₉	2₋¹⁺⁴	1	2	yes	—
312	C₂×C₄×C₂₉	2₋¹⁺⁴	1	2	yes	—
313	C₂×C₄×C₂₉	C₂⁵	1	1	yes	characteristic
314	C₈×C₂₉	—	2	2	no	—
315	C₈×C₂₉	—	2	2	no	—
316	C₈×C₂₉	—	2	2	no	—
317	C₈×C₂₉	—	2	2	no	—
318	C₂×#544	C₂×C₂₉	1	1	yes	characteristic, complemented
319	C₂×#542	C₂×C₂₉	1	1	yes	characteristic
320	#3243	C₂×C₂₉	1	16	yes	direct product factor
321	C₂×#501	C₂×C₂₉	1	1	yes	characteristic, complemented
322	C₂×#500	C₂×C₂₉	1	1	yes	characteristic, complemented
323	C₂×#489	C₂×C₂₉	1	1	yes	characteristic, complemented
324	C₂×#488	C₂×C₂₉	1	1	yes	characteristic, complemented
325	C₂×#484	C₂×C₂₉	1	1	yes	characteristic, complemented
326	C₂×#485	C₂×C₂₉	1	1	yes	characteristic, complemented
327	C₂×#482	C₂×C₂₉	1	1	yes	characteristic
328	C₂×#480	C₂×C₂₉	1	1	yes	characteristic
329	C₂×#479	C₂×C₂₉	1	1	yes	characteristic, complemented
330	C₂×#477	C₂×C₂₉	1	1	yes	characteristic, complemented
331	C₂×#478	C₂×C₂₉	1	1	yes	characteristic, complemented
332	C₂×#474	C₂×C₂₉	1	1	yes	characteristic, complemented
333	C₂×#433	C₂×C₂₉	1	1	yes	characteristic, complemented
334	C₂²×C₂₉	—	2	2	no	—
335	C₂²×C₂₉	—	2	2	no	—
336	C₂²×C₂₉	—	2	2	no	—
337	C₂²×C₂₉	—	4	4	no	—
338	C₂²×C₂₉	—	4	2	no	—
339	C₂²×C₂₉	—	4	2	no	—
340	C₂²×C₂₉	—	4	2	no	—
341	C₂²×C₂₉	—	8	4	no	—
342	C₂²×C₂₉	#536	1	2	yes	—
343	C₂²×C₂₉	#576	1	2	yes	—
344	C₂²×C₂₉	#578	1	2	yes	—
345	C₂²×C₂₉	C₂³×D₄	1	1	yes	characteristic
346	C₄×C₂₉	—	2	2	no	—
347	C₄×C₂₉	—	2	2	no	—
348	C₄×C₂₉	—	2	2	no	—
349	C₄×C₂₉	—	2	2	no	—
350	C₄×C₂₉	—	2	2	no	—
351	C₄×C₂₉	—	4	2	no	—
352	C₄×C₂₉	—	4	2	no	—
353	C₄×C₂₉	—	4	2	no	—
354	C₄×C₂₉	—	4	2	no	—
355	C₄×C₂₉	—	4	2	no	—
356	C₄×C₂₉	—	4	2	no	—
357	C₄×C₂₉	—	4	2	no	—
358	C₄×C₂₉	#536	1	2	yes	—
359	C₄×C₂₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
360	C₄×C₂₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
361	#544	—	2	4	no	—
362	#544	C₂²×C₂₉	1	8	yes	complemented
363	#542	—	2	4	no	—
364	#542	C₂²×C₂₉	1	8	yes	—
365	C₂×C₄⋊Q₈	—	2	1	no	—
366	C₂×C₄⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
367	C₂×C₄⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
368	C₂×C₄⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
369	C₂×#126	—	2	1	no	—
370	C₂×#125	—	2	1	no	—
371	C₂×#125	C₂²×C₂₉	1	1	yes	characteristic
372	C₂×#125	C₂²×C₂₉	1	1	yes	characteristic
373	C₂×#124	—	2	1	no	—
374	C₂×#124	C₂²×C₂₉	1	1	yes	characteristic
375	C₂×#123	—	2	1	no	—
376	C₂×C₂²⋊Q₈	—	2	1	no	—
377	C₂×C₂²⋊Q₈	—	2	1	no	—
378	C₂×C₂²⋊Q₈	—	2	1	no	—
379	C₂×C₂²⋊Q₈	C₂²×C₂₉	1	1	yes	characteristic
380	C₂×#121	C₂²×C₂₉	1	1	yes	characteristic
381	C₂×C₄×Q₈	C₂²×C₂₉	1	1	yes	characteristic
382	C₂×C₄×D₄	C₂²×C₂₉	1	1	yes	characteristic
383	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
384	C₂×#117	C₂²×C₂₉	1	1	yes	characteristic
385	C₂²×C₄⋊C₄	C₂²×C₂₉	1	1	yes	characteristic
386	#501	C₂²×C₂₉	1	8	yes	complemented
387	#500	C₂²×C₂₉	1	8	yes	complemented
388	#489	C₂²×C₂₉	1	8	yes	complemented
389	#488	C₂²×C₂₉	1	8	yes	complemented
390	#485	C₂²×C₂₉	1	8	yes	complemented
391	#484	C₂²×C₂₉	1	8	yes	complemented
392	#482	C₂²×C₂₉	1	8	yes	—
393	#480	C₂²×C₂₉	1	8	yes	—
394	#479	C₂²×C₂₉	1	8	yes	complemented
395	#478	C₂²×C₂₉	1	8	yes	complemented
396	#477	C₂²×C₂₉	1	8	yes	complemented
397	#474	C₂²×C₂₉	1	8	yes	complemented
398	#433	C₂²×C₂₉	1	8	yes	complemented
399	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
400	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
401	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
402	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
403	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
404	C₂×#107	C₂²×C₂₉	1	1	yes	characteristic
405	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
406	C₂×#106	C₂²×C₂₉	1	1	yes	characteristic
407	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
408	C₂×C₄⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
409	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
410	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
411	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
412	C₂×#103	C₂²×C₂₉	1	1	yes	characteristic
413	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
414	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
415	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
416	C₂×#102	C₂²×C₂₉	1	1	yes	characteristic
417	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
418	C₂×C₂²⋊C₈	C₂²×C₂₉	1	1	yes	characteristic
419	C₂×#97	C₂²×C₂₉	1	1	yes	characteristic
420	C₂×C₄×C₈	C₂²×C₂₉	1	1	yes	characteristic
421	C₂×C₂₉	—	4	2	no	—
422	C₂×C₂₉	—	8	2	no	—
423	C₂×C₂₉	#3243	1	4	yes	direct product factor
424	C₂×C₂₉	C₂×#536	1	1	yes	characteristic
425	C₂×C₂₉	C₂×#576	1	1	yes	characteristic
426	C₂×C₂₉	C₂×#578	1	1	yes	characteristic
427	C₂²×Q₈	—	2	1	no	—
428	C₂²×Q₈	—	2	1	no	—
429	C₂²×Q₈	—	2	1	no	—
430	C₂²×Q₈	C₂³×C₂₉	1	1	yes	characteristic
431	C₂²×D₄	—	2	1	no	—
432	C₂²×D₄	C₂³×C₂₉	1	1	yes	characteristic
433	C₂³×C₄	—	2	1	no	—
434	C₂³×C₄	—	2	1	no	—
435	C₂³×C₄	C₂³×C₂₉	1	1	yes	characteristic
436	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
437	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
438	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
439	C₂²×C₈	C₂³×C₂₉	1	1	yes	characteristic
440	C₄⋊Q₈	—	2	8	no	—
441	C₄⋊Q₈	—	2	2	no	—
442	C₄⋊Q₈	—	2	2	no	—
443	C₄⋊Q₈	—	2	2	no	—
444	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
445	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
446	C₄⋊Q₈	C₂³×C₂₉	1	4	yes	—
447	#126	—	2	8	no	—
448	#125	—	2	8	no	—
449	#125	—	2	2	no	—
450	#125	—	2	2	no	—
451	#125	C₂³×C₂₉	1	4	yes	—
452	#125	C₂³×C₂₉	1	4	yes	—
453	#124	—	2	8	no	—
454	#124	—	2	2	no	—
455	#124	C₂³×C₂₉	1	4	yes	—
456	#123	—	2	8	no	—
457	C₂²⋊Q₈	—	2	2	no	—
458	C₂²⋊Q₈	—	2	8	no	—
459	C₂²⋊Q₈	—	2	8	no	—
460	C₂²⋊Q₈	—	2	8	no	—
461	C₂²⋊Q₈	C₂³×C₂₉	1	4	yes	—
462	#121	—	2	2	no	—
463	#121	C₂³×C₂₉	1	4	yes	—
464	C₄×Q₈	—	2	2	no	—
465	C₄×Q₈	C₂³×C₂₉	1	4	yes	—
466	C₄×D₄	—	2	2	no	—
467	C₄×D₄	C₂³×C₂₉	1	4	yes	—
468	#117	—	2	2	no	—
469	#117	D₄×C₂₉	1	4	yes	—
470	#117	C₂³×C₂₉	1	4	yes	—
471	#117	C₂³×C₂₉	1	4	yes	—
472	C₂×C₄⋊C₄	—	2	1	no	—
473	C₂×C₄⋊C₄	—	2	2	no	—
474	C₂×C₄⋊C₄	—	2	1	no	—
475	C₂×C₄⋊C₄	—	2	1	no	—
476	C₂×C₄⋊C₄	—	2	1	no	—
477	C₂×C₄⋊C₄	—	2	1	no	—
478	C₂×C₄⋊C₄	—	2	1	no	—
479	C₂×C₄⋊C₄	—	2	1	no	—
480	C₂×C₄⋊C₄	—	2	1	no	—
481	C₂×C₄⋊C₄	—	2	1	no	—
482	C₂×C₄⋊C₄	—	2	1	no	—
483	C₂×C₄⋊C₄	D₄×C₂₉	1	1	yes	characteristic
484	C₂×C₄⋊C₄	D₄×C₂₉	1	1	yes	characteristic
485	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
486	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
487	C₂×C₄⋊C₄	C₂³×C₂₉	1	4	yes	—
488	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
489	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
491	C₂×C₄⋊C₄	C₂³×C₂₉	1	1	yes	characteristic
492	C₂×C₂²⋊C₄	—	2	1	no	—
493	C₂×C₂²⋊C₄	—	2	1	no	—
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₂²⋊C₄	—	2	1	no	—
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
499	C₂×C₂²⋊C₄	D₄×C₂₉	1	1	yes	characteristic
500	C₂×C₄²	—	2	1	no	—
501	C₂×C₄²	—	2	1	no	—
502	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
503	C₂×C₄²	C₂³×C₂₉	1	1	yes	characteristic
504	#107	C₂³×C₂₉	1	4	yes	—
505	#107	C₂³×C₂₉	1	4	yes	—
506	#107	C₂³×C₂₉	1	4	yes	—
507	#107	C₂³×C₂₉	1	4	yes	—
508	#107	C₂³×C₂₉	1	4	yes	—
509	#107	C₂³×C₂₉	1	4	yes	—
510	#106	C₂³×C₂₉	1	4	yes	—
511	#106	C₂³×C₂₉	1	4	yes	—
512	C₄⋊C₈	C₂³×C₂₉	1	4	yes	—
513	C₄⋊C₈	C₂³×C₂₉	1	4	yes	—
514	#103	C₂³×C₂₉	1	4	yes	—
515	#103	C₂³×C₂₉	1	4	yes	—
516	#103	C₂³×C₂₉	1	4	yes	—
517	#103	C₂³×C₂₉	1	4	yes	—
518	#102	C₂³×C₂₉	1	4	yes	—
519	#102	C₂³×C₂₉	1	4	yes	—
520	#102	C₂³×C₂₉	1	4	yes	—
521	#102	C₂³×C₂₉	1	4	yes	—
522	C₂²⋊C₈	C₂³×C₂₉	1	4	yes	—
523	C₂²⋊C₈	C₂³×C₂₉	1	4	yes	—
524	#97	C₂³×C₂₉	1	4	yes	—
525	C₄×C₈	C₂³×C₂₉	1	4	yes	—
526	C₂₉	C₂×#3243	1	1	yes	characteristic, direct product factor, Sylow
527	C₂⁴	—	2	1	no	—
528	C₂⁴	C₂×D₄×C₂₉	1	1	yes	characteristic
529	C₂×Q₈	—	2	1	no	—
530	C₂×Q₈	—	2	4	no	—
531	C₂×Q₈	—	2	4	no	—
532	C₂×Q₈	—	2	4	no	—
533	C₂×Q₈	—	2	2	no	—
534	C₂×Q₈	—	2	2	no	—
535	C₂×Q₈	—	8	2	no	—
536	C₂×Q₈	—	8	2	no	—
537	C₂×Q₈	—	8	2	no	—
538	C₂×Q₈	C₂⁴×C₂₉	1	2	yes	—
539	C₂×D₄	—	2	4	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	2	2	no	—
542	C₂×D₄	—	2	2	no	—
543	C₂×D₄	—	8	2	no	—
544	C₂×D₄	C₂⁴×C₂₉	1	2	yes	—
545	C₂²×C₄	—	2	2	no	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	1	no	—
548	C₂²×C₄	—	2	1	no	—
549	C₂²×C₄	—	2	1	no	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	4	no	—
555	C₂²×C₄	—	2	4	no	—
556	C₂²×C₄	—	8	2	no	—
557	C₂²×C₄	—	8	2	no	—
558	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
559	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
560	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
561	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄×C₂₉	1	1	yes	characteristic
563	C₂²×C₄	C₂×D₄×C₂₉	1	2	yes	—
564	C₂²×C₄	C₂⁴×C₂₉	1	2	yes	—
565	C₂²×C₄	C₂⁴×C₂₉	1	1	yes	characteristic
566	C₂×C₈	—	2	2	no	—
567	C₂×C₈	—	2	2	no	—
568	C₂×C₈	—	2	2	no	—
569	C₂×C₈	—	2	2	no	—
570	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
571	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
572	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
573	C₂×C₈	C₂⁴×C₂₉	1	2	yes	—
574	C₄⋊C₄	—	2	4	no	—
575	C₄⋊C₄	—	2	1	no	—
576	C₄⋊C₄	—	2	1	no	—
577	C₄⋊C₄	—	2	4	no	—
578	C₄⋊C₄	—	2	4	no	—
579	C₄⋊C₄	—	2	4	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	—	2	4	no	—
582	C₄⋊C₄	—	2	4	no	—
583	C₄⋊C₄	—	2	4	no	—
584	C₄⋊C₄	—	2	4	no	—
585	C₄⋊C₄	—	2	4	no	—
586	C₄⋊C₄	—	2	1	no	—
587	C₄⋊C₄	—	2	1	no	—
588	C₄⋊C₄	—	2	1	no	—
589	C₄⋊C₄	—	2	1	no	—
590	C₄⋊C₄	C₂×D₄×C₂₉	1	4	yes	—
591	C₄⋊C₄	C₂×D₄×C₂₉	1	4	yes	—
592	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
593	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
594	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
595	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
596	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
597	C₄⋊C₄	C₂⁴×C₂₉	1	2	yes	—
598	C₂²⋊C₄	—	2	4	no	—
599	C₂²⋊C₄	—	2	4	no	—
600	C₂²⋊C₄	—	2	4	no	—
601	C₂²⋊C₄	—	2	4	no	—
602	C₂²⋊C₄	—	2	4	no	—
603	C₂²⋊C₄	—	2	4	no	—
604	C₂²⋊C₄	C₂×D₄×C₂₉	1	4	yes	—
605	C₂²⋊C₄	C₂×D₄×C₂₉	1	4	yes	—
606	C₄²	—	2	4	no	—
607	C₄²	—	2	4	no	—
608	C₄²	C₂×D₄×C₂₉	1	2	yes	—
609	C₄²	C₂×D₄×C₂₉	1	2	yes	—
610	C₄²	C₂⁴×C₂₉	1	2	yes	—
611	C₄²	C₂⁴×C₂₉	1	2	yes	—
612	C₂³	—	2	2	no	—
613	C₂³	—	2	2	no	—
614	C₂³	—	2	2	no	—
615	C₂³	—	2	2	no	—
616	C₂³	—	4	2	no	—
617	C₂³	—	4	2	no	—
618	C₂³	—	4	2	no	—
619	C₂³	C₂²×D₄×C₂₉	1	2	yes	—
620	C₂³	C₂²×D₄×C₂₉	1	1	yes	characteristic
621	Q₈	—	2	2	no	—
622	Q₈	—	2	2	no	—
623	Q₈	—	4	2	no	—
624	Q₈	—	8	4	no	—
625	Q₈	—	8	4	no	—
626	Q₈	—	8	4	no	—
627	D₄	—	2	2	no	—
628	D₄	—	2	2	no	—
629	D₄	—	4	2	no	—
630	D₄	—	8	4	no	—
631	C₂×C₄	—	2	2	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	2	no	—
635	C₂×C₄	—	2	2	no	—
636	C₂×C₄	—	2	4	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	2	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	4	2	no	—
647	C₂×C₄	—	4	2	no	—
648	C₂×C₄	—	4	2	no	—
649	C₂×C₄	—	4	2	no	—
650	C₂×C₄	—	4	2	no	—
651	C₂×C₄	—	4	2	no	—
652	C₂×C₄	—	4	2	no	—
653	C₂×C₄	—	8	4	no	—
654	C₂×C₄	—	8	4	no	—
655	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
656	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
657	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
658	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
659	C₂×C₄	C₂²×D₄×C₂₉	1	2	yes	—
660	C₂×C₄	C₂²×D₄×C₂₉	1	1	yes	characteristic
661	C₂×C₄	C₂₉×2₋¹⁺⁴	1	2	yes	—
662	C₂×C₄	C₂₉×2₋¹⁺⁴	1	2	yes	—
663	C₂×C₄	C₂⁵×C₂₉	1	1	yes	characteristic
664	C₈	—	2	2	no	—
665	C₈	—	2	2	no	—
666	C₈	—	2	2	no	—
667	C₈	—	2	2	no	—
668	C₂²	—	2	2	no	—
669	C₂²	—	2	2	no	—
670	C₂²	—	2	2	no	—
671	C₂²	—	4	4	no	—
672	C₂²	—	4	2	no	—
673	C₂²	—	4	2	no	—
674	C₂²	—	4	2	no	—
675	C₂²	—	8	4	no	—
676	C₂²	C₂₉×#536	1	2	yes	—
677	C₂²	C₂₉×#576	1	2	yes	—
678	C₂²	C₂₉×#578	1	2	yes	—
679	C₂²	C₂³×D₄×C₂₉	1	1	yes	characteristic
680	C₄	—	2	2	no	—
681	C₄	—	2	2	no	—
682	C₄	—	2	2	no	—
683	C₄	—	2	2	no	—
684	C₄	—	2	2	no	—
685	C₄	—	4	2	no	—
686	C₄	—	4	2	no	—
687	C₄	—	4	2	no	—
688	C₄	—	4	2	no	—
689	C₄	—	4	2	no	—
690	C₄	—	4	2	no	—
691	C₄	—	4	2	no	—
692	C₄	C₂₉×#536	1	2	yes	—
693	C₄	C₂×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
694	C₄	C₂×C₂₉×2₋¹⁺⁴	1	1	yes	characteristic
695	C₂	—	4	2	no	—
696	C₂	—	8	2	no	—
697	C₂	C₂₉×#3243	1	4	yes	direct product factor
698	C₂	C₂×C₂₉×#536	1	1	yes	characteristic
699	C₂	C₂×C₂₉×#576	1	1	yes	characteristic
700	C₂	C₂×C₂₉×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₂₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₂₉
prime radical	C₂×C₂₉×#121	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₂₉ ◁ C₂×C₂₉×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₂₉×#544	C₂	semidirect
3. C₂₉×#3243	C₂	direct (N × H)
4. C₂×C₂₉×#501	C₂	semidirect
5. C₂×C₂₉×#500	C₂	semidirect
6. C₂×C₂₉×#489	C₂	semidirect
7. C₂×C₂₉×#488	C₂	semidirect
8. C₂×C₂₉×#484	C₂	semidirect
9. C₂×C₂₉×#485	C₂	semidirect
12. C₂×C₂₉×#479	C₂	semidirect
13. C₂×C₂₉×#477	C₂	semidirect
14. C₂×C₂₉×#478	C₂	semidirect
15. C₂×C₂₉×#474	C₂	semidirect
16. C₂×C₂₉×#433	C₂	semidirect
18. C₂₉×#544	C₂²	semidirect
42. C₂₉×#501	C₂²	semidirect
43. C₂₉×#500	C₂²	semidirect
44. C₂₉×#489	C₂²	semidirect
45. C₂₉×#488	C₂²	semidirect
46. C₂₉×#485	C₂²	semidirect
47. C₂₉×#484	C₂²	semidirect
50. C₂₉×#479	C₂²	semidirect
51. C₂₉×#478	C₂²	semidirect
52. C₂₉×#477	C₂²	semidirect
53. C₂₉×#474	C₂²	semidirect
54. C₂₉×#433	C₂²	semidirect
261. C₂×#3243	C₂₉	direct (N × H)
318. C₂×#544	C₂×C₂₉	semidirect
320. #3243	C₂×C₂₉	direct (N × H)
321. C₂×#501	C₂×C₂₉	semidirect
322. C₂×#500	C₂×C₂₉	semidirect
323. C₂×#489	C₂×C₂₉	semidirect
324. C₂×#488	C₂×C₂₉	semidirect
325. C₂×#484	C₂×C₂₉	semidirect
326. C₂×#485	C₂×C₂₉	semidirect
329. C₂×#479	C₂×C₂₉	semidirect
330. C₂×#477	C₂×C₂₉	semidirect
331. C₂×#478	C₂×C₂₉	semidirect
332. C₂×#474	C₂×C₂₉	semidirect
333. C₂×#433	C₂×C₂₉	semidirect
362. #544	C₂²×C₂₉	semidirect
386. #501	C₂²×C₂₉	semidirect
387. #500	C₂²×C₂₉	semidirect
388. #489	C₂²×C₂₉	semidirect
389. #488	C₂²×C₂₉	semidirect
390. #485	C₂²×C₂₉	semidirect
391. #484	C₂²×C₂₉	semidirect
394. #479	C₂²×C₂₉	semidirect
395. #478	C₂²×C₂₉	semidirect
396. #477	C₂²×C₂₉	semidirect
397. #474	C₂²×C₂₉	semidirect
398. #433	C₂²×C₂₉	semidirect
423. C₂×C₂₉	#3243	direct (N × H)
526. C₂₉	C₂×#3243	direct (N × H)
697. C₂	C₂₉×#3243	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₂₉×#544	2
C₂×C₂₉×#542	2
C₂₉×#3243	2
C₂×C₂₉×#501	2
C₂×C₂₉×#500	2
C₂×C₂₉×#489	2
C₂×C₂₉×#488	2
C₂×C₂₉×#484	2
C₂×C₂₉×#485	2
C₂×C₂₉×#482	2
C₂×C₂₉×#480	2
C₂×C₂₉×#479	2
C₂×C₂₉×#477	2
C₂×C₂₉×#478	2
C₂×C₂₉×#474	2
C₂×C₂₉×#433	2
C₂×#3243	29

Subgroups — C2×C29×#3243 #20355757

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₂₉×#3243 #20355757