Subgroups — #23772862

Order 10112.

548 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14579188	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14579185	C₂	1	1	yes	maximal, characteristic, complemented
3	#19099112	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#19098779	C₂	1	1	yes	maximal, characteristic, complemented
6	#19098778	C₂	1	1	yes	maximal, characteristic, complemented
7	#19098775	C₂	1	1	yes	maximal, characteristic, complemented
8	#19098767	C₂	1	1	yes	maximal, characteristic, complemented
9	#19098766	C₂	1	1	yes	maximal, characteristic, complemented
10	#19098757	C₂	1	1	yes	maximal, characteristic, complemented
11	#19098756	C₂	1	1	yes	maximal, characteristic, complemented
12	#19098585	C₂	1	1	yes	maximal, characteristic, complemented
13	#19098563	C₂	1	1	yes	maximal, characteristic, complemented
14	#19098561	C₂	1	1	yes	maximal, characteristic, complemented
15	#463×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11929625	C₂²	1	1	yes	characteristic
17	C₂×#11929623	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₇₉	C₂²	1	1	yes	characteristic
19	C₂²×C₄×D₇₉	—	2	1	no	—
20	#14579188	—	2	4	no	—
21	#14579185	—	2	4	no	—
22	C₂×#11929613	C₂²	1	1	yes	characteristic
23	C₂×#11929612	C₂²	1	1	yes	characteristic
24	C₂×#11929611	C₂²	1	1	yes	characteristic
25	C₂×D₆₃₂	C₂²	1	1	yes	characteristic
26	C₂×#11929609	C₂²	1	1	yes	characteristic
27	C₂×#11929609	C₂²	1	1	yes	characteristic
28	C₂×#11929607	C₂²	1	1	yes	characteristic
29	C₂×#11929607	C₂²	1	1	yes	characteristic
30	#14579159	C₂²	1	1	yes	characteristic, complemented
31	#14579157	C₂²	1	1	yes	characteristic, complemented
32	#14579149	C₂²	1	1	yes	characteristic, complemented
33	#14579134	—	2	1	no	—
34	#14579134	—	2	1	no	—
35	C₄×D₃₁₆	C₂²	1	1	yes	characteristic
36	D₄×Dic₇₉	C₂²	1	1	yes	characteristic
37	#14579123	C₂²	1	1	yes	characteristic
38	C₄×C₂²⋊D₇₉	—	2	1	no	—
39	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
40	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
41	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
42	C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
43	C₂²⋊C₄×D₇₉	—	2	1	no	—
44	C₄²×D₇₉	C₂²	1	1	yes	characteristic
45	C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
46	Dic₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
47	Dic₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
48	#14579086	C₂²	1	1	yes	characteristic, complemented
49	#14579085	C₂²	1	1	yes	characteristic, complemented
50	#14579084	C₂²	1	1	yes	characteristic, complemented
51	#14579083	C₂²	1	1	yes	characteristic, complemented
52	#14579082	C₂²	1	1	yes	characteristic, complemented
53	#14579081	C₂²	1	1	yes	characteristic, complemented
54	C₂×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
55	C₂×D₈×C₇₉	C₂²	1	1	yes	characteristic
56	#124×C₇₉	C₂²	1	1	yes	characteristic, complemented
57	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
58	C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
59	#103×C₇₉	C₂²	1	1	yes	characteristic, complemented
60	#102×C₇₉	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₇₉	—	2	1	no	—
62	#11929625	—	2	2	no	—
63	#11929625	—	2	2	no	—
64	#11929623	—	2	2	no	—
65	#11929623	—	2	2	no	—
66	C₂×Dic₁₅₈	C₂³	1	1	yes	characteristic
67	C₂×D₃₁₆	—	2	1	no	—
68	C₂×D₃₁₆	C₂³	1	1	yes	characteristic
69	C₂×D₃₁₆	C₂³	1	1	yes	characteristic
70	C₂×C₂²⋊D₇₉	—	2	1	no	—
71	C₂×C₂²⋊D₇₉	—	2	1	no	—
72	C₂×C₂²⋊D₇₉	—	2	1	no	—
73	C₂×C₂²⋊D₇₉	—	2	1	no	—
74	D₄×D₇₉	—	2	2	no	—
75	D₄×D₇₉	D₄	1	4	yes	complemented
76	C₂²×Dic₇₉	—	2	1	no	—
77	C₂²×Dic₇₉	—	2	1	no	—
78	C₂×C₄×D₇₉	—	2	1	no	—
79	C₂×C₄×D₇₉	—	2	1	no	—
80	C₂×C₄×D₇₉	—	2	1	no	—
81	C₂×C₄×D₇₉	—	2	1	no	—
82	C₂×C₄×D₇₉	—	4	4	no	—
83	C₂×C₄×D₇₉	D₄	1	1	yes	characteristic
84	C₂×C₄×D₇₉	D₄	1	1	yes	characteristic
85	C₂×C₄×D₇₉	C₂³	1	1	yes	characteristic
86	#11929613	—	2	2	no	—
87	#11929612	—	2	2	no	—
88	#11929611	—	2	2	no	—
89	D₆₃₂	—	2	2	no	—
90	#11929609	—	2	2	no	—
91	#11929609	—	2	2	no	—
92	#11929607	—	2	2	no	—
93	#11929607	—	2	2	no	—
94	C₂×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
95	C₂×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
96	C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
97	Dic₇₉⋊C₄	—	2	1	no	—
98	Dic₇₉⋊C₄	—	2	1	no	—
99	Dic₇₉⋊C₄	—	2	1	no	—
100	C₂²⋊Dic₇₉	—	2	1	no	—
101	(C₂×D₇₉)⋊C₄	—	2	1	no	—
102	(C₂×D₇₉)⋊C₄	—	2	1	no	—
103	(C₂×D₇₉)⋊C₄	—	2	1	no	—
104	(C₂×D₇₉)⋊C₄	—	2	1	no	—
105	C₄×Dic₇₉	D₄	1	1	yes	characteristic
106	C₄×Dic₇₉	D₄	1	1	yes	characteristic
107	C₄×Dic₇₉	C₂³	1	1	yes	characteristic
108	C₂×Q₈×C₇₉	C₂³	1	1	yes	characteristic
109	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
110	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
111	C₂²×C₄×C₇₉	—	2	1	no	—
112	SD₁₆×C₇₉	—	2	2	no	—
113	D₈×C₇₉	—	2	2	no	—
114	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
115	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
116	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
117	C₂²⋊C₄×C₇₉	—	2	1	no	—
118	C₂²⋊C₄×C₇₉	—	2	1	no	—
119	C₂²⋊C₄×C₇₉	—	2	1	no	—
120	C₄²×C₇₉	C₂³	1	1	yes	characteristic
121	C₂³×C₇₉	—	2	1	no	—
122	C₂³×C₇₉	—	2	1	no	—
123	C₂²×D₇₉	—	2	1	no	—
124	C₂²×D₇₉	—	2	4	no	—
125	C₂²×D₇₉	—	2	1	no	—
126	C₂²×D₇₉	—	4	2	no	—
127	C₂²×D₇₉	—	4	2	no	—
128	C₂²×D₇₉	C₂×D₄	1	1	yes	characteristic
129	Q₈×C₇₉	—	2	1	no	—
130	Q₈×C₇₉	—	2	1	no	—
131	D₄×C₇₉	—	2	1	no	—
132	D₄×C₇₉	—	2	1	no	—
133	D₄×C₇₉	—	2	1	no	—
134	D₄×C₇₉	C₂×D₄	1	2	yes	—
135	C₂×C₄×C₇₉	—	2	1	no	—
136	C₂×C₄×C₇₉	—	2	1	no	—
137	C₂×C₄×C₇₉	—	4	2	no	—
138	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₇₉	—	2	4	no	—
142	C₂²⋊D₇₉	—	4	2	no	—
143	C₂²⋊D₇₉	—	4	2	no	—
144	C₂²⋊D₇₉	—	4	2	no	—
145	C₂×Dic₇₉	—	2	1	no	—
146	C₂×Dic₇₉	—	2	1	no	—
147	C₂×Dic₇₉	—	4	2	no	—
148	C₂×Dic₇₉	—	4	2	no	—
149	C₂×Dic₇₉	C₂×D₄	1	1	yes	characteristic
150	C₂×Dic₇₉	C₂×D₄	1	1	yes	characteristic
151	C₂×Dic₇₉	C₂×D₄	1	1	yes	characteristic
152	D₃₁₆	—	2	1	no	—
153	D₃₁₆	—	2	1	no	—
154	D₃₁₆	—	2	1	no	—
155	D₃₁₆	—	4	2	no	—
156	D₃₁₆	C₂×D₄	1	2	yes	—
157	C₄×D₇₉	—	2	2	no	—
158	C₄×D₇₉	—	4	1	no	—
159	C₄×D₇₉	—	4	2	no	—
160	C₄×D₇₉	—	4	2	no	—
161	C₄×D₇₉	—	4	2	no	—
162	C₄×D₇₉	—	4	2	no	—
163	C₄×D₇₉	C₂×D₄	1	2	yes	—
164	C₄×D₇₉	#41	1	2	yes	—
165	Dic₁₅₈	—	2	1	no	—
166	Dic₁₅₈	—	2	1	no	—
167	C₈×C₇₉	—	2	1	no	—
168	C₈×C₇₉	—	2	1	no	—
169	C₇₉⋊C₈	—	2	1	no	—
170	C₇₉⋊C₈	—	2	1	no	—
171	C₂²×C₇₉	—	2	2	no	—
172	C₂²×C₇₉	—	4	1	no	—
173	C₂²×C₇₉	—	4	1	no	—
174	C₂²×C₇₉	—	4	1	no	—
175	C₂²×C₇₉	—	4	1	no	—
176	C₂²×C₇₉	—	4	1	no	—
177	C₂²×C₇₉	C₂²×D₄	1	1	yes	characteristic
178	C₂×D₇₉	—	2	1	no	—
179	C₂×D₇₉	—	2	1	no	—
180	C₂×D₇₉	—	2	2	no	—
181	C₂×D₇₉	—	4	8	no	—
182	C₂×D₇₉	—	4	1	no	—
183	C₂×D₇₉	—	4	1	no	—
184	C₂×D₇₉	—	4	1	no	—
185	C₂×D₇₉	—	4	1	no	—
186	C₂×D₇₉	—	4	1	no	—
187	C₂×D₇₉	#121	1	2	yes	—
188	C₄×C₇₉	—	2	1	no	—
189	C₄×C₇₉	—	2	1	no	—
190	C₄×C₇₉	—	4	1	no	—
191	C₄×C₇₉	—	4	1	no	—
192	C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
193	C₄×C₇₉	C₂×#41	1	1	yes	characteristic
194	Dic₇₉	—	2	1	no	—
195	Dic₇₉	—	4	1	no	—
196	Dic₇₉	—	4	1	no	—
197	Dic₇₉	#121	1	2	yes	—
198	Dic₇₉	AGL(1,ℤ/8)	1	2	yes	complemented
199	C₂×C₇₉	—	4	2	no	—
200	C₂×C₇₉	—	8	1	no	—
201	C₂×C₇₉	C₂×#121	1	1	yes	characteristic
202	C₂×C₇₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
203	C₂×C₇₉	#575	1	1	yes	characteristic
204	D₇₉	—	2	2	no	—
205	D₇₉	—	4	2	no	—
206	D₇₉	—	8	1	no	—
207	#3036	—	79	1	no	maximal, Sylow
208	C₇₉	#3036	1	1	yes	characteristic, complemented, Sylow
209	C₂×AGL(1,ℤ/8)	—	79	1	no	—
210	C₂×AGL(1,ℤ/8)	—	79	1	no	—
211	#532	—	79	1	no	—
212	C₂×C₄×D₄	—	79	1	no	—
213	#463	—	79	1	no	—
214	#463	—	79	1	no	—
215	#463	—	79	1	no	—
216	#463	D₇₉	1	1	yes	characteristic, complemented
217	#461	—	79	1	no	—
218	#461	—	79	1	no	—
219	#459	—	79	1	no	—
220	#459	—	79	1	no	—
221	#423	—	79	1	no	—
222	#417	—	79	1	no	—
223	#417	—	79	1	no	—
224	C₂×#41	—	79	1	no	—
225	C₂×#41	—	79	1	no	—
226	C₂²×D₄	—	79	1	no	—
227	C₂³×C₄	—	158	1	no	—
228	AGL(1,ℤ/8)	—	158	4	no	—
229	AGL(1,ℤ/8)	—	158	4	no	—
230	C₂×SD₁₆	—	79	1	no	—
231	C₂×SD₁₆	—	79	1	no	—
232	C₂×SD₁₆	—	79	1	no	—
233	C₂×SD₁₆	C₂×D₇₉	1	1	yes	characteristic
234	C₂×D₈	—	79	1	no	—
235	C₂×D₈	—	79	1	no	—
236	C₂×D₈	—	79	1	no	—
237	C₂×D₈	C₂×D₇₉	1	1	yes	characteristic
238	C₂×M₁₆	—	79	1	no	—
239	C₂×M₁₆	—	79	1	no	—
240	C₄⋊Q₈	—	79	1	no	—
241	#127	—	79	1	no	—
242	#124	—	79	1	no	—
243	#124	C₂×D₇₉	1	1	yes	characteristic, complemented
244	#121	—	158	1	no	—
245	#121	—	158	1	no	—
246	C₄×D₄	—	79	1	no	—
247	C₄×D₄	—	79	1	no	—
248	C₄×D₄	—	79	1	no	—
249	C₄×D₄	—	158	1	no	—
250	C₄×D₄	—	158	1	no	—
251	C₄×D₄	—	158	1	no	—
252	C₄×D₄	—	158	1	no	—
253	C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
254	C₂×C₄⋊C₄	—	79	1	no	—
255	C₂×C₂²⋊C₄	—	158	1	no	—
256	C₂×C₄²	—	79	1	no	—
257	C₄⋊C₈	—	79	1	no	—
258	C₄⋊C₈	—	79	1	no	—
259	C₄⋊C₈	—	79	1	no	—
260	C₄⋊C₈	C₂×D₇₉	1	1	yes	characteristic, complemented
261	#103	—	79	1	no	—
262	#103	—	79	1	no	—
263	#103	—	79	1	no	—
264	#103	C₂×D₇₉	1	1	yes	characteristic, complemented
265	#102	—	79	1	no	—
266	#102	—	79	1	no	—
267	#102	—	79	1	no	—
268	#102	C₂×D₇₉	1	1	yes	characteristic, complemented
269	C₂⁴	—	158	1	no	—
270	#41	—	158	2	no	—
271	#41	—	158	2	no	—
272	#41	—	158	2	no	—
273	#41	—	158	2	no	—
274	C₂×Q₈	—	79	1	no	—
275	C₂×Q₈	C₂²×D₇₉	1	1	yes	characteristic
276	C₂×D₄	—	79	4	no	—
277	C₂×D₄	—	79	1	no	—
278	C₂×D₄	—	79	1	no	—
279	C₂×D₄	—	158	1	no	—
280	C₂×D₄	—	158	2	no	—
281	C₂×D₄	—	158	1	no	—
282	C₂×D₄	—	158	1	no	—
283	C₂×D₄	—	158	1	no	—
284	C₂×D₄	—	158	1	no	—
285	C₂×D₄	C₂²×D₇₉	1	1	yes	characteristic
286	C₂×D₄	C₂²×D₇₉	1	1	yes	characteristic
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	316	4	no	—
289	C₂²×C₄	—	79	1	no	—
290	C₂²×C₄	—	79	1	no	—
291	C₂²×C₄	—	79	1	no	—
292	C₂²×C₄	—	158	1	no	—
293	C₂²×C₄	—	158	1	no	—
294	C₂²×C₄	—	158	1	no	—
295	C₂²×C₄	—	158	1	no	—
296	C₂²×C₄	—	158	1	no	—
297	C₂²×C₄	—	158	1	no	—
298	SD₁₆	—	2	2	no	—
299	SD₁₆	—	158	2	no	—
300	SD₁₆	—	158	2	no	—
301	SD₁₆	—	158	2	no	—
302	D₈	—	2	2	no	—
303	D₈	—	158	2	no	—
304	D₈	—	158	2	no	—
305	D₈	—	158	2	no	—
306	M₁₆	—	158	2	no	—
307	M₁₆	—	158	2	no	—
308	C₂×C₈	—	79	1	no	—
309	C₂×C₈	—	79	1	no	—
310	C₂×C₈	C₂²×D₇₉	1	1	yes	characteristic
311	C₂×C₈	C₂²×D₇₉	1	1	yes	characteristic
312	C₄⋊C₄	—	79	1	no	—
313	C₄⋊C₄	—	158	1	no	—
314	C₄⋊C₄	—	158	1	no	—
315	C₄⋊C₄	—	158	1	no	—
316	C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
317	C₂²⋊C₄	—	2	1	no	—
318	C₂²⋊C₄	—	2	1	no	—
319	C₂²⋊C₄	—	2	1	no	—
320	C₂²⋊C₄	—	158	1	no	—
321	C₂²⋊C₄	—	158	1	no	—
322	C₂²⋊C₄	—	158	1	no	—
323	C₂²⋊C₄	—	158	1	no	—
324	C₂²⋊C₄	—	158	1	no	—
325	C₄²	—	79	1	no	—
326	C₄²	—	79	1	no	—
327	C₄²	—	79	1	no	—
328	C₄²	C₂²×D₇₉	1	1	yes	characteristic
329	C₂³	—	2	1	no	—
330	C₂³	—	2	1	no	—
331	C₂³	—	316	2	no	—
332	C₂³	—	316	2	no	—
333	C₂³	—	79	1	no	—
334	C₂³	—	158	4	no	—
335	C₂³	—	158	1	no	—
336	C₂³	—	158	1	no	—
337	Q₈	—	2	1	no	—
338	Q₈	—	2	1	no	—
339	Q₈	—	158	1	no	—
340	Q₈	—	158	1	no	—
341	D₄	—	2	1	no	—
342	D₄	—	2	1	no	—
343	D₄	—	2	1	no	—
344	D₄	—	316	2	no	—
345	D₄	—	316	2	no	—
346	D₄	—	316	2	no	—
347	D₄	—	316	2	no	—
348	D₄	—	79	2	no	—
349	D₄	—	158	4	no	—
350	D₄	—	158	1	no	—
351	D₄	—	158	1	no	—
352	D₄	—	158	1	no	—
353	D₄	D₄×D₇₉	1	2	yes	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	4	2	no	—
357	C₂×C₄	—	316	2	no	—
358	C₂×C₄	—	316	1	no	—
359	C₂×C₄	—	316	2	no	—
360	C₂×C₄	—	316	2	no	—
361	C₂×C₄	—	316	2	no	—
362	C₂×C₄	—	316	2	no	—
363	C₂×C₄	—	316	2	no	—
364	C₂×C₄	—	79	1	no	—
365	C₂×C₄	—	79	1	no	—
366	C₂×C₄	—	79	2	no	—
367	C₂×C₄	—	79	2	no	—
368	C₂×C₄	—	79	1	no	—
369	C₂×C₄	—	158	2	no	—
370	C₂×C₄	—	158	1	no	—
371	C₂×C₄	—	158	1	no	—
372	C₂×C₄	D₄×D₇₉	1	1	yes	characteristic
373	C₂×C₄	D₄×D₇₉	1	1	yes	characteristic
374	C₂×C₄	C₂³×D₇₉	1	1	yes	characteristic
375	C₈	—	2	1	no	—
376	C₈	—	2	1	no	—
377	C₈	—	158	1	no	—
378	C₈	—	158	1	no	—
379	C₂²	—	2	2	no	—
380	C₂²	—	4	1	no	—
381	C₂²	—	4	1	no	—
382	C₂²	—	4	1	no	—
383	C₂²	—	4	1	no	—
384	C₂²	—	4	1	no	—
385	C₂²	—	316	8	no	—
386	C₂²	—	316	1	no	—
387	C₂²	—	316	1	no	—
388	C₂²	—	316	1	no	—
389	C₂²	—	316	1	no	—
390	C₂²	—	316	1	no	—
391	C₂²	—	79	2	no	—
392	C₂²	—	158	2	no	—
393	C₂²	—	158	1	no	—
394	C₂²	—	158	1	no	—
395	C₂²	C₂×D₄×D₇₉	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	4	1	no	—
399	C₄	—	4	1	no	—
400	C₄	—	316	1	no	—
401	C₄	—	316	1	no	—
402	C₄	—	79	2	no	—
403	C₄	—	79	2	no	—
404	C₄	—	158	1	no	—
405	C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
406	C₄	#41×D₇₉	1	1	yes	characteristic
407	C₂	—	4	2	no	—
408	C₂	—	8	1	no	—
409	C₂	—	316	2	no	—
410	C₂	—	632	1	no	—
411	C₂	—	158	2	no	—
412	C₂	#121×D₇₉	1	1	yes	characteristic
413	C₂	AGL(1,ℤ/8)×D₇₉	1	1	yes	characteristic
414	C₂	#19099360	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₇₉
commutator, cosocle	C₂×C₄×C₇₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₇₉
Fitting	#463×C₇₉	C₂
socle	C₂²×C₇₉	C₂²×D₄
hypercenter	#463	D₇₉
hypocenter	C₇₉	#3036
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #463

Complements

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

N	H ≅ G/N	type
1. C₂×#14579188	C₂	semidirect
2. C₂×#14579185	C₂	semidirect
3. #19099112	C₂	semidirect
4. C₄×D₄×D₇₉	C₂	semidirect
5. #19098779	C₂	semidirect
6. #19098778	C₂	semidirect
7. #19098775	C₂	semidirect
8. #19098767	C₂	semidirect
9. #19098766	C₂	semidirect
10. #19098757	C₂	semidirect
11. #19098756	C₂	semidirect
12. #19098585	C₂	semidirect
13. #19098563	C₂	semidirect
14. #19098561	C₂	semidirect
15. #463×C₇₉	C₂	semidirect
30. #14579159	C₂²	semidirect
31. #14579157	C₂²	semidirect
32. #14579149	C₂²	semidirect
45. C₄⋊(C₇₉⋊C₈)	C₂²	semidirect
46. Dic₇₉⋊C₈	C₂²	semidirect
47. Dic₇₉⋊C₈	C₂²	semidirect
48. #14579086	C₂²	semidirect
49. #14579085	C₂²	semidirect
50. #14579084	C₂²	semidirect
51. #14579083	C₂²	semidirect
52. #14579082	C₂²	semidirect
53. #14579081	C₂²	semidirect
56. #124×C₇₉	C₂²	semidirect
58. C₄⋊C₈×C₇₉	C₂²	semidirect
59. #103×C₇₉	C₂²	semidirect
60. #102×C₇₉	C₂²	semidirect
75. D₄×D₇₉	D₄	semidirect
198. Dic₇₉	AGL(1,ℤ/8)	semidirect
208. C₇₉	#3036	semidirect
216. #463	D₇₉	semidirect
243. #124	C₂×D₇₉	semidirect
260. C₄⋊C₈	C₂×D₇₉	semidirect
264. #103	C₂×D₇₉	semidirect
268. #102	C₂×D₇₉	semidirect