Subgroups — #35197172

Order 20224.

7900 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777923	C₂	1	4	yes	maximal, complemented
2	#23777919	C₂	1	4	yes	maximal, complemented
3	#23777805	C₂	1	2	yes	maximal, complemented
4	#23777798	C₂	1	2	yes	maximal, complemented
5	#23777772	C₂	1	4	yes	maximal, complemented
6	#23777766	C₂	1	4	yes	maximal, complemented
7	#23777635	C₂	1	4	yes	maximal, complemented
8	#23777432	C₂	1	4	yes	maximal, complemented
9	#23777427	C₂	1	4	yes	maximal, complemented
10	#23777313	C₂	1	2	yes	maximal, complemented
11	#23777307	C₂	1	2	yes	maximal, complemented
12	#23777269	C₂	1	4	yes	maximal, complemented
13	#23777252	C₂	1	2	yes	maximal, complemented
14	#23777249	C₂	1	2	yes	maximal, complemented
15	#23777176	C₂	1	2	yes	maximal, complemented
16	#23777173	C₂	1	2	yes	maximal, complemented
17	#23777164	C₂	1	2	yes	maximal, complemented
18	#23777162	C₂	1	2	yes	maximal, complemented
19	#23777069	C₂	1	4	yes	maximal, complemented
20	#23777065	C₂	1	4	yes	maximal, complemented
21	#23776696	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099113	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#532×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14579207	C₂²	1	4	yes	complemented
25	C₂×#14579206	C₂²	1	4	yes	complemented
26	C₂²×#11929624	C₂²	1	2	yes	complemented
27	#19099307	C₂²	1	8	yes	complemented
28	#19099305	C₂²	1	8	yes	complemented
29	#19099301	C₂²	1	16	yes	complemented
30	#19099296	C₂²	1	8	yes	complemented
31	#19099295	C₂²	1	8	yes	complemented
32	#19099287	C₂²	1	4	yes	complemented
33	#19099283	C₂²	1	4	yes	complemented
34	#19099279	C₂²	1	4	yes	complemented
35	#19099278	C₂²	1	4	yes	complemented
36	#19099278	C₂²	1	4	yes	complemented
37	#19099274	C₂²	1	4	yes	complemented
38	#19099270	C₂²	1	4	yes	complemented
39	#19099265	C₂²	1	8	yes	complemented
40	#19099263	C₂²	1	8	yes	complemented
41	#19099261	C₂²	1	8	yes	complemented
42	#19099259	C₂²	1	8	yes	complemented
43	#19099234	C₂²	1	4	yes	complemented
44	#19099234	C₂²	1	4	yes	complemented
45	#19099233	C₂²	1	4	yes	complemented
46	#19099233	C₂²	1	4	yes	complemented
47	#19099232	C₂²	1	8	yes	complemented
48	#19099231	C₂²	1	8	yes	complemented
49	#19099224	C₂²	1	8	yes	complemented
50	#19099219	C₂²	1	8	yes	complemented
51	#19099218	C₂²	1	4	yes	complemented
52	#19099217	C₂²	1	4	yes	complemented
53	#19099217	C₂²	1	4	yes	complemented
54	#19099216	C₂²	1	4	yes	complemented
55	#19099210	C₂²	1	8	yes	complemented
56	#19099209	C₂²	1	8	yes	complemented
57	#19099208	C₂²	1	8	yes	complemented
58	#19099208	C₂²	1	8	yes	complemented
59	#19099206	C₂²	1	8	yes	complemented
60	#19099203	C₂²	1	16	yes	complemented
61	#19099201	C₂²	1	16	yes	complemented
62	#19099201	C₂²	1	8	yes	complemented
63	D₄×D₃₁₆	C₂²	1	4	yes	complemented
64	D₄×D₃₁₆	C₂²	1	4	yes	complemented
65	D₄×D₃₁₆	C₂²	1	4	yes	complemented
66	#19099198	C₂²	1	4	yes	complemented
67	#19099198	C₂²	1	4	yes	complemented
68	#19099197	C₂²	1	8	yes	complemented
69	#19099197	C₂²	1	8	yes	complemented
70	D₄×C₂²⋊D₇₉	C₂²	1	16	yes	complemented
71	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
72	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
73	#19099187	C₂²	1	8	yes	complemented
74	#19099182	C₂²	1	8	yes	complemented
75	#19099166	C₂²	1	8	yes	complemented
76	#19099164	C₂²	1	8	yes	complemented
77	#19099151	C₂²	1	8	yes	complemented
78	#19099150	C₂²	1	8	yes	complemented
79	#19099147	C₂²	1	16	yes	complemented
80	#19099146	C₂²	1	16	yes	complemented
81	#19099144	C₂²	1	4	yes	complemented
82	#19099142	C₂²	1	8	yes	complemented
83	#19099141	C₂²	1	8	yes	complemented
84	#19099141	C₂²	1	4	yes	complemented
85	#19099131	C₂²	1	8	yes	complemented
86	#19099130	C₂²	1	4	yes	complemented
87	#19099129	C₂²	1	8	yes	complemented
88	#19099129	C₂²	1	8	yes	complemented
89	#19099127	C₂²	1	8	yes	complemented
90	#19099127	C₂²	1	4	yes	complemented
91	#19099126	C₂²	1	8	yes	complemented
92	#19099125	C₂²	1	8	yes	complemented
93	#19099121	C₂²	1	8	yes	complemented
94	#19099120	C₂²	1	1	yes	characteristic, complemented
95	#19099120	C₂²	1	1	yes	characteristic, complemented
96	#19099120	C₂²	1	1	yes	characteristic, complemented
97	#19099118	C₂²	1	4	yes	complemented
98	#19099114	C₂²	1	4	yes	complemented
99	#19099113	C₂²	1	2	yes	complemented
100	#19099113	C₂²	1	1	yes	characteristic, complemented
101	#19099113	C₂²	1	2	yes	complemented
102	#19099113	C₂²	1	2	yes	complemented
103	#19099113	C₂²	1	1	yes	characteristic, complemented
104	#19099113	C₂²	1	1	yes	characteristic, complemented
105	#19099113	C₂²	1	2	yes	complemented
106	#19099113	C₂²	1	2	yes	complemented
107	#19099113	C₂²	1	2	yes	complemented
108	#19099113	C₂²	1	2	yes	complemented
109	#19099113	C₂²	1	2	yes	complemented
110	#19099111	C₂²	1	4	yes	complemented
111	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
112	C₂×#14579158	C₂²	1	1	yes	characteristic, complemented
113	#127×D₇₉	C₂²	1	4	yes	complemented
114	#19099097	C₂²	1	2	yes	complemented
115	#19099097	C₂²	1	2	yes	complemented
116	#19099097	C₂²	1	2	yes	complemented
117	#19099097	C₂²	1	2	yes	complemented
118	#19099097	C₂²	1	2	yes	complemented
119	#19099097	C₂²	1	2	yes	complemented
120	C₂×#14579149	C₂²	1	2	yes	complemented
121	#19099074	C₂²	1	2	yes	complemented
122	#19099074	C₂²	1	2	yes	complemented
123	#19099074	C₂²	1	8	yes	complemented
124	#19099074	C₂²	1	2	yes	complemented
125	#19099073	C₂²	1	8	yes	complemented
126	C₂×#14579135	C₂²	1	2	yes	complemented
127	C₂×#14579135	C₂²	1	8	yes	complemented
128	C₂×#14579135	C₂²	1	2	yes	complemented
129	#121×D₇₉	C₂²	1	8	yes	complemented
130	#19099046	C₂²	1	4	yes	complemented
131	#19099044	C₂²	1	4	yes	complemented
132	#19099035	C₂²	1	8	yes	complemented
133	C₄×#11929624	C₂²	1	2	yes	complemented
134	C₄×#11929624	C₂²	1	2	yes	complemented
135	C₄×#11929624	C₂²	1	2	yes	complemented
136	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
137	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
138	C₂²×#41×C₇₉	C₂²	1	2	yes	complemented
139	#532×C₇₉	C₂²	1	2	yes	complemented
140	#532×C₇₉	C₂²	1	2	yes	complemented
141	#532×C₇₉	C₂²	1	2	yes	complemented
142	#532×C₇₉	C₂²	1	2	yes	complemented
143	#532×C₇₉	C₂²	1	2	yes	complemented
144	#532×C₇₉	C₂²	1	2	yes	complemented
145	#532×C₇₉	C₂²	1	2	yes	complemented
146	#532×C₇₉	C₂²	1	2	yes	complemented
147	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
148	C₂×#127×C₇₉	C₂²	1	1	yes	characteristic, complemented
149	C₂×#124×C₇₉	C₂²	1	2	yes	complemented
150	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
151	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
152	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
153	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
154	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic, complemented
155	#14579207	—	4	16	no	—
156	#14579206	—	4	16	no	—
157	C₂×#11929625	C₂³	1	8	yes	—
158	C₂×#11929624	—	4	8	no	—
159	C₂×#11929624	C₂³	1	2	yes	—
160	C₂×#11929624	C₂³	1	4	yes	—
161	C₂×#11929624	C₂³	1	2	yes	—
162	C₂×#11929624	C₂³	1	8	yes	—
163	C₂×#11929624	C₂³	1	4	yes	—
164	C₂×#11929624	C₂³	1	4	yes	—
165	C₂×#11929624	C₂³	1	4	yes	—
166	C₂×#11929624	C₂³	1	2	yes	—
167	C₂×#11929623	C₂³	1	8	yes	—
168	C₂×#11929623	C₂³	1	8	yes	—
169	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
170	C₂²×D₃₁₆	C₂³	1	2	yes	—
171	C₂²×D₃₁₆	C₂³	1	8	yes	—
172	C₂²×D₃₁₆	C₂³	1	2	yes	—
173	C₂²×D₃₁₆	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	—
175	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
176	C₂×D₄×D₇₉	C₂³	1	8	yes	—
177	C₂×D₄×D₇₉	C₂³	1	8	yes	—
178	C₂×D₄×D₇₉	C₂³	1	16	yes	—
179	C₂×D₄×D₇₉	C₂³	1	8	yes	—
180	C₂×D₄×D₇₉	C₂³	1	8	yes	—
181	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
182	#14579161	C₂³	1	2	yes	—
183	#14579161	C₂³	1	1	yes	characteristic
184	#14579161	C₂³	1	2	yes	—
185	#14579161	C₂³	1	1	yes	characteristic
186	#14579161	C₂³	1	2	yes	—
187	#14579161	C₂³	1	1	yes	characteristic
188	#14579161	C₂³	1	2	yes	—
189	#14579158	C₂³	1	1	yes	characteristic
190	#14579158	C₂³	1	2	yes	—
191	#14579158	C₂³	1	2	yes	—
192	#14579158	C₂³	1	2	yes	—
193	#14579158	C₂³	1	2	yes	—
194	#14579157	C₂³	1	8	yes	—
195	#14579157	C₂³	1	16	yes	—
196	#14579157	C₂³	1	8	yes	—
197	#14579157	C₂³	1	8	yes	—
198	#14579156	C₂³	1	16	yes	—
199	#14579155	C₂³	1	4	yes	—
200	#14579155	C₂³	1	4	yes	—
201	#14579154	C₂³	1	16	yes	—
202	#14579153	C₂³	1	2	yes	—
203	#14579153	C₂³	1	2	yes	—
204	#14579153	C₂³	1	2	yes	—
205	#14579152	C₂³	1	8	yes	—
206	#14579150	C₂³	1	16	yes	—
207	#14579150	C₂³	1	8	yes	—
208	#14579149	C₂³	1	4	yes	—
209	#14579149	C₂³	1	4	yes	—
210	#14579149	C₂³	1	2	yes	—
211	#14579149	C₂³	1	4	yes	—
212	#14579149	C₂³	1	2	yes	—
213	#14579149	C₂³	1	2	yes	—
214	#14579149	C₂³	1	4	yes	—
215	#14579148	C₂³	1	8	yes	—
216	#14579147	C₂³	1	16	yes	—
217	#14579147	C₂³	1	16	yes	—
218	#14579146	C₂³	1	16	yes	—
219	#14579145	C₂³	1	16	yes	—
220	#14579145	C₂³	1	16	yes	—
221	#14579144	C₂³	1	16	yes	—
222	#14579144	C₂³	1	4	yes	—
223	#14579144	C₂³	1	4	yes	—
224	#14579144	C₂³	1	4	yes	—
225	#14579143	C₂³	1	16	yes	—
226	#14579143	C₂³	1	16	yes	—
227	#14579141	C₂³	1	8	yes	—
228	#14579141	C₂³	1	8	yes	—
229	#14579140	C₂³	1	2	yes	—
230	#14579140	C₂³	1	8	yes	—
231	#14579140	C₂³	1	2	yes	—
232	#14579140	C₂³	1	2	yes	—
233	#14579140	C₂³	1	2	yes	—
234	#14579140	C₂³	1	2	yes	—
235	#14579140	C₂³	1	2	yes	—
236	#14579138	C₂³	1	16	yes	—
237	#14579137	C₂³	1	16	yes	—
238	#14579137	C₂³	1	8	yes	—
239	#14579136	C₂³	1	8	yes	—
240	#14579136	C₂³	1	8	yes	—
241	#14579136	C₂³	1	8	yes	—
242	#14579135	C₂³	1	4	yes	—
243	#14579135	C₂³	1	8	yes	—
244	#14579135	C₂³	1	8	yes	—
245	#14579135	C₂³	1	16	yes	—
246	#14579135	C₂³	1	16	yes	—
247	#14579135	C₂³	1	4	yes	—
248	#14579135	C₂³	1	4	yes	—
249	#14579135	C₂³	1	4	yes	—
250	#14579135	C₂³	1	4	yes	—
251	#14579135	C₂³	1	8	yes	—
252	#14579135	C₂³	1	4	yes	—
253	#14579135	C₂³	1	4	yes	—
254	#14579135	C₂³	1	2	yes	—
255	#14579135	C₂³	1	2	yes	—
256	#14579135	C₂³	1	4	yes	—
257	#14579135	C₂³	1	2	yes	—
258	#14579135	C₂³	1	2	yes	—
259	#14579135	C₂³	1	2	yes	—
260	#14579135	C₂³	1	2	yes	—
261	#14579134	C₂³	1	16	yes	—
262	#14579134	C₂³	1	16	yes	—
263	#14579134	C₂³	1	16	yes	—
264	#14579133	C₂³	1	16	yes	—
265	#14579133	C₂³	1	16	yes	—
266	#14579133	C₂³	1	16	yes	—
267	#14579133	C₂³	1	16	yes	—
268	#14579132	C₂³	1	16	yes	—
269	#14579132	C₂³	1	8	yes	—
270	#14579132	C₂³	1	8	yes	—
271	#14579132	C₂³	1	8	yes	—
272	#14579132	C₂³	1	8	yes	—
273	#14579131	C₂³	1	16	yes	—
274	#14579131	C₂³	1	16	yes	—
275	#14579131	C₂³	1	16	yes	—
276	#14579130	C₂³	1	16	yes	—
277	#14579130	C₂³	1	4	yes	—
278	#14579129	C₂³	1	16	yes	—
279	#14579129	C₂³	1	16	yes	—
280	#14579129	C₂³	1	16	yes	—
281	#14579129	C₂³	1	16	yes	—
282	Q₈×Dic₇₉	C₂³	1	8	yes	—
283	C₄×Dic₁₅₈	C₂³	1	2	yes	—
284	C₄×Dic₁₅₈	C₂³	1	2	yes	—
285	C₄×Dic₁₅₈	C₂³	1	2	yes	—
286	C₄×Dic₁₅₈	C₂³	1	2	yes	—
287	C₄×Dic₁₅₈	C₂³	1	2	yes	—
288	C₄×Dic₁₅₈	C₂³	1	2	yes	—
289	#14579126	C₂³	1	8	yes	—
290	C₄×D₃₁₆	C₂³	1	4	yes	—
291	C₄×D₃₁₆	C₂³	1	4	yes	—
292	C₄×D₃₁₆	C₂³	1	2	yes	—
293	C₄×D₃₁₆	C₂³	1	2	yes	—
294	C₄×D₃₁₆	C₂³	1	4	yes	—
295	C₄×D₃₁₆	C₂³	1	4	yes	—
296	C₄×D₃₁₆	C₂³	1	2	yes	—
297	C₄×D₃₁₆	C₂³	1	2	yes	—
298	C₄×D₃₁₆	C₂³	1	4	yes	—
299	C₄×D₃₁₆	C₂³	1	2	yes	—
300	C₄×D₃₁₆	C₂³	1	4	yes	—
301	C₄×D₃₁₆	C₂³	1	2	yes	—
302	C₄×D₃₁₆	C₂³	1	4	yes	—
303	C₄×D₃₁₆	C₂³	1	4	yes	—
304	D₄×Dic₇₉	C₂³	1	16	yes	—
305	D₄×Dic₇₉	C₂³	1	8	yes	—
306	D₄×Dic₇₉	C₂³	1	8	yes	—
307	#14579123	C₂³	1	8	yes	—
308	#14579123	C₂³	1	8	yes	—
309	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
310	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
311	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
312	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
313	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
314	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
315	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
316	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
317	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
318	#14579120	C₂³	1	2	yes	—
319	#14579120	C₂³	1	8	yes	—
320	#14579120	C₂³	1	2	yes	—
321	#14579120	C₂³	1	2	yes	—
322	#14579119	C₂³	1	8	yes	—
323	#14579119	C₂³	1	8	yes	—
324	#14579118	C₂³	1	4	yes	—
325	#14579118	C₂³	1	4	yes	—
326	#14579118	C₂³	1	4	yes	—
327	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
328	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	—
329	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
330	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
331	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
332	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
333	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
334	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
335	C₄²×D₇₉	C₂³	1	4	yes	—
336	C₂×#41×C₇₉	—	4	8	no	—
337	C₂×#41×C₇₉	C₂³	1	4	yes	—
338	C₂×#41×C₇₉	C₂³	1	4	yes	—
339	C₂×#41×C₇₉	C₂³	1	4	yes	—
340	C₂×#41×C₇₉	C₂³	1	4	yes	—
341	C₂²×Q₈×C₇₉	C₂³	1	2	yes	—
342	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
343	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
344	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
345	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
346	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
348	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₇₉	C₂³	1	4	yes	—
350	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
351	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
352	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
353	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
354	#127×C₇₉	C₂³	1	2	yes	—
355	#127×C₇₉	C₂³	1	2	yes	—
356	#127×C₇₉	C₂³	1	2	yes	—
357	#127×C₇₉	C₂³	1	2	yes	—
358	#124×C₇₉	C₂³	1	4	yes	—
359	#124×C₇₉	C₂³	1	4	yes	—
360	#124×C₇₉	C₂³	1	4	yes	—
361	#124×C₇₉	C₂³	1	4	yes	—
362	#121×C₇₉	C₂³	1	4	yes	—
363	#121×C₇₉	C₂³	1	4	yes	—
364	#121×C₇₉	C₂³	1	4	yes	—
365	#121×C₇₉	C₂³	1	4	yes	—
366	#121×C₇₉	C₂³	1	4	yes	—
367	#121×C₇₉	C₂³	1	4	yes	—
368	#121×C₇₉	C₂³	1	4	yes	—
369	#121×C₇₉	C₂³	1	4	yes	—
370	C₄×D₄×C₇₉	C₂³	1	4	yes	—
371	C₄×D₄×C₇₉	C₂³	1	4	yes	—
372	C₄×D₄×C₇₉	C₂³	1	4	yes	—
373	C₄×D₄×C₇₉	C₂³	1	4	yes	—
374	C₄×D₄×C₇₉	C₂³	1	4	yes	—
375	C₄×D₄×C₇₉	C₂³	1	4	yes	—
376	C₄×D₄×C₇₉	C₂³	1	4	yes	—
377	C₄×D₄×C₇₉	C₂³	1	4	yes	—
378	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
379	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
380	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
381	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
382	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
383	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
384	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
385	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
386	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
387	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
388	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
389	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
390	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
391	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
392	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
393	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
394	C₂³×D₇₉	C₂⁴	1	4	yes	—
395	C₂³×D₇₉	C₂⁴	1	16	yes	—
396	#11929625	—	4	16	no	—
397	#11929624	—	2	16	no	—
398	#11929624	—	2	8	no	—
399	#11929624	—	2	8	no	—
400	#11929624	—	4	8	no	—
401	#11929624	—	4	8	no	—
402	#11929624	—	4	16	no	—
403	#11929624	—	4	8	no	—
404	#11929624	—	4	4	no	—
405	#11929623	—	4	16	no	—
406	#11929623	—	4	16	no	—
407	C₂×Dic₁₅₈	—	4	4	no	—
408	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
409	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
410	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
411	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
412	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
413	C₂×D₃₁₆	—	2	8	no	—
414	C₂×D₃₁₆	—	4	4	no	—
415	C₂×D₃₁₆	—	4	16	no	—
416	C₂×D₃₁₆	—	4	4	no	—
417	C₂×D₃₁₆	C₂⁴	1	4	yes	—
418	C₂×D₃₁₆	C₂⁴	1	4	yes	—
419	C₂×D₃₁₆	C₂⁴	1	2	yes	—
420	C₂×D₃₁₆	C₂⁴	1	2	yes	—
421	C₂×D₃₁₆	C₂⁴	1	4	yes	—
422	C₂×D₃₁₆	C₂⁴	1	4	yes	—
423	C₂×D₃₁₆	C₂⁴	1	4	yes	—
424	C₂×D₃₁₆	C₂⁴	1	2	yes	—
425	C₂×D₃₁₆	C₂⁴	1	16	yes	—
426	C₂×D₃₁₆	C₂⁴	1	4	yes	—
427	C₂×C₂²⋊D₇₉	—	4	8	no	—
428	C₂×C₂²⋊D₇₉	—	4	32	no	—
429	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
430	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
431	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
432	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
433	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
434	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
435	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
436	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
437	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
438	D₄×D₇₉	—	4	32	no	—
439	D₄×D₇₉	—	4	16	no	—
440	D₄×D₇₉	—	4	16	no	—
441	D₄×D₇₉	—	4	16	no	—
442	D₄×D₇₉	—	4	16	no	—
443	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
444	C₂²×Dic₇₉	C₂⁴	1	16	yes	—
445	C₂×C₄×D₇₉	—	4	8	no	—
446	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
447	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
448	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
449	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
450	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
451	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
452	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
453	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
454	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
455	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
456	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
457	C₄⋊Dic₇₉	C₂⁴	1	16	yes	—
458	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
459	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
460	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
461	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
462	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
463	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
464	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
465	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
466	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
467	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
468	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
469	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
471	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
473	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
474	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
485	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
486	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
487	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
488	C₄×Dic₇₉	C₂⁴	1	4	yes	—
489	C₄×Dic₇₉	C₂⁴	1	4	yes	—
490	C₄×Dic₇₉	C₂⁴	1	4	yes	—
491	C₄×Dic₇₉	C₂⁴	1	16	yes	—
492	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
494	#41×C₇₉	—	2	16	no	—
495	#41×C₇₉	—	4	8	no	—
496	#41×C₇₉	—	4	8	no	—
497	#41×C₇₉	—	4	8	no	—
498	C₂×Q₈×C₇₉	—	4	4	no	—
499	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
500	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
501	C₂×D₄×C₇₉	—	2	8	no	—
502	C₂×D₄×C₇₉	—	4	4	no	—
503	C₂×D₄×C₇₉	—	4	4	no	—
504	C₂×D₄×C₇₉	—	4	8	no	—
505	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
506	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
507	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
508	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
509	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
510	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
511	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
512	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
513	C₂²×C₄×C₇₉	—	2	4	no	—
514	C₂²×C₄×C₇₉	—	2	4	no	—
515	C₂²×C₄×C₇₉	—	4	2	no	—
516	C₂²×C₄×C₇₉	—	4	8	no	—
517	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
523	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
535	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
536	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
538	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
539	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
540	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
541	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
542	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
543	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
544	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
545	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
546	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
547	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
548	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
549	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
550	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
551	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
552	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
553	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
554	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
555	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
556	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
557	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
558	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
559	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
560	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
561	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
562	C₂³×C₇₉	—	2	2	no	—
563	C₂³×C₇₉	—	2	2	no	—
564	C₂³×C₇₉	—	2	8	no	—
565	C₂³×C₇₉	—	4	1	no	—
566	C₂³×C₇₉	—	4	4	no	—
567	C₂³×C₇₉	—	4	4	no	—
568	C₂³×C₇₉	C₂⁵	1	8	yes	—
569	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
570	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
571	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
572	C₂²×D₇₉	—	2	8	no	—
573	C₂²×D₇₉	—	4	4	no	—
574	C₂²×D₇₉	—	4	4	no	—
575	C₂²×D₇₉	—	4	16	no	—
576	C₂²×D₇₉	—	4	16	no	—
577	C₂²×D₇₉	—	4	16	no	—
578	C₂²×D₇₉	C₂⁵	1	4	yes	—
579	C₂²×D₇₉	C₂⁵	1	8	yes	—
580	Q₈×C₇₉	—	2	8	no	—
581	Q₈×C₇₉	—	4	4	no	—
582	D₄×C₇₉	—	2	16	no	—
583	D₄×C₇₉	—	2	8	no	—
584	D₄×C₇₉	—	2	8	no	—
585	D₄×C₇₉	—	2	8	no	—
586	D₄×C₇₉	—	2	8	no	—
587	D₄×C₇₉	—	4	4	no	—
588	D₄×C₇₉	—	4	4	no	—
589	D₄×C₇₉	—	4	8	no	—
590	C₂×C₄×C₇₉	—	2	2	no	—
591	C₂×C₄×C₇₉	—	2	2	no	—
592	C₂×C₄×C₇₉	—	2	2	no	—
593	C₂×C₄×C₇₉	—	2	2	no	—
594	C₂×C₄×C₇₉	—	2	16	no	—
595	C₂×C₄×C₇₉	—	2	2	no	—
596	C₂×C₄×C₇₉	—	2	2	no	—
597	C₂×C₄×C₇₉	—	2	2	no	—
598	C₂×C₄×C₇₉	—	2	2	no	—
599	C₂×C₄×C₇₉	—	2	2	no	—
600	C₂×C₄×C₇₉	—	2	2	no	—
601	C₂×C₄×C₇₉	—	2	2	no	—
602	C₂×C₄×C₇₉	—	2	2	no	—
603	C₂×C₄×C₇₉	—	2	2	no	—
604	C₂×C₄×C₇₉	—	4	1	no	—
605	C₂×C₄×C₇₉	—	4	1	no	—
606	C₂×C₄×C₇₉	—	4	1	no	—
607	C₂×C₄×C₇₉	—	4	4	no	—
608	C₂×C₄×C₇₉	—	4	8	no	—
609	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	complemented
610	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	complemented
611	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
612	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
613	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
614	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
615	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
616	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
617	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
618	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
619	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
620	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
621	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
622	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
623	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
624	C₂²⋊D₇₉	—	2	8	no	—
625	C₂²⋊D₇₉	—	2	8	no	—
626	C₂²⋊D₇₉	—	2	16	no	—
627	C₂²⋊D₇₉	—	4	16	no	—
628	C₂²⋊D₇₉	—	4	16	no	—
629	C₂²⋊D₇₉	—	4	16	no	—
630	C₂²⋊D₇₉	—	4	16	no	—
631	C₂²⋊D₇₉	—	4	8	no	—
632	C₂²⋊D₇₉	—	4	4	no	—
633	C₂×Dic₇₉	—	4	4	no	—
634	C₂×Dic₇₉	—	4	16	no	—
635	C₂×Dic₇₉	C₂⁵	1	4	yes	—
636	C₂×Dic₇₉	C₂⁵	1	8	yes	—
637	C₂×Dic₇₉	C₂⁵	1	4	yes	—
638	C₂×Dic₇₉	C₂⁵	1	4	yes	—
639	D₃₁₆	—	2	4	no	—
640	D₃₁₆	—	2	8	no	—
641	D₃₁₆	—	2	8	no	—
642	D₃₁₆	—	2	8	no	—
643	D₃₁₆	—	2	4	no	—
644	D₃₁₆	—	2	8	no	—
645	D₃₁₆	—	4	16	no	—
646	D₃₁₆	—	4	4	no	—
647	D₃₁₆	—	4	4	no	—
648	D₃₁₆	—	4	2	no	—
649	C₄×D₇₉	—	2	16	no	—
650	C₄×D₇₉	—	2	8	no	—
651	C₄×D₇₉	—	2	8	no	—
652	C₄×D₇₉	—	2	8	no	—
653	C₄×D₇₉	—	4	8	no	—
654	C₄×D₇₉	—	4	16	no	—
655	Dic₁₅₈	—	2	8	no	—
656	Dic₁₅₈	—	2	4	no	—
657	Dic₁₅₈	—	2	4	no	—
658	Dic₁₅₈	—	4	4	no	—
659	Dic₁₅₈	—	4	2	no	—
660	C₂²×C₇₉	—	2	1	no	—
661	C₂²×C₇₉	—	2	1	no	—
662	C₂²×C₇₉	—	2	1	no	—
663	C₂²×C₇₉	—	2	1	no	—
664	C₂²×C₇₉	—	2	1	no	—
665	C₂²×C₇₉	—	2	8	no	—
666	C₂²×C₇₉	—	2	8	no	—
667	C₂²×C₇₉	—	2	1	no	—
668	C₂²×C₇₉	—	2	1	no	—
669	C₂²×C₇₉	—	2	8	no	—
670	C₂²×C₇₉	—	4	4	no	—
671	C₂²×C₇₉	—	8	8	no	—
672	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
673	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
674	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
675	C₂×D₇₉	—	2	4	no	—
676	C₂×D₇₉	—	2	8	no	—
677	C₂×D₇₉	—	2	4	no	—
678	C₂×D₇₉	—	2	8	no	—
679	C₂×D₇₉	—	2	8	no	—
680	C₂×D₇₉	—	2	4	no	—
681	C₂×D₇₉	—	8	8	no	—
682	C₂×D₇₉	—	16	16	no	—
683	C₄×C₇₉	—	2	1	no	—
684	C₄×C₇₉	—	2	1	no	—
685	C₄×C₇₉	—	2	1	no	—
686	C₄×C₇₉	—	2	1	no	—
687	C₄×C₇₉	—	2	8	no	—
688	C₄×C₇₉	—	2	1	no	—
689	C₄×C₇₉	—	2	1	no	—
690	C₄×C₇₉	—	2	1	no	—
691	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
692	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
693	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
694	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
695	C₄×C₇₉	#585	1	2	yes	—
696	Dic₇₉	—	2	4	no	—
697	Dic₇₉	—	2	4	no	—
698	Dic₇₉	—	2	8	no	—
699	Dic₇₉	—	2	4	no	—
700	#62834	—	79	1	no	maximal, Sylow
701	C₂×C₇₉	—	2	2	no	—
702	C₂×C₇₉	—	2	2	no	—
703	C₂×C₇₉	—	4	8	no	—
704	C₂×C₇₉	—	4	1	no	—
705	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
706	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
707	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
708	D₇₉	—	4	8	no	—
709	D₇₉	—	4	4	no	—
710	#3558	—	79	4	no	—
711	#3558	—	79	4	no	—
712	#3549	—	79	2	no	—
713	#3548	—	79	2	no	—
714	#3546	—	79	4	no	—
715	#3546	—	79	4	no	—
716	#3537	—	79	4	no	—
717	#3519	—	79	4	no	—
718	#3519	—	79	4	no	—
719	#3511	—	79	2	no	—
720	#3511	—	79	2	no	—
721	#3508	—	79	4	no	—
722	#3506	—	79	2	no	—
723	#3506	—	79	2	no	—
724	#3498	—	79	2	no	—
725	#3498	—	79	2	no	—
726	#3496	—	79	2	no	—
727	#3496	—	79	2	no	—
728	#3488	—	79	4	no	—
729	#3488	—	79	4	no	—
730	#3444	—	79	1	no	—
731	C₂×#532	—	79	1	no	—
732	C₂×#532	D₇₉	1	1	yes	characteristic, complemented
733	C₇₉	#62834	1	1	yes	characteristic, complemented, Sylow
734	C₂×H(5,𝔽₂)	—	79	4	no	—
735	C₂×H(5,𝔽₂)	—	79	4	no	—
736	C₂²×#41	—	79	2	no	—
737	C₂²×#41	C₂×D₇₉	1	2	yes	complemented
738	#562	—	79	8	no	—
739	H(3,𝔽₄)	—	79	8	no	—
740	#560	—	79	16	no	—
741	#559	—	79	8	no	—
742	#559	—	79	8	no	—
743	#556	—	79	4	no	—
744	#556	—	79	4	no	—
745	#555	—	79	4	no	—
746	#555	—	79	4	no	—
747	#555	—	79	4	no	—
748	#554	—	79	4	no	—
749	#554	—	79	4	no	—
750	#553	—	79	8	no	—
751	#553	—	79	8	no	—
752	#553	—	79	8	no	—
753	#553	—	79	8	no	—
754	#550	—	79	8	no	—
755	#550	—	79	4	no	—
756	#550	—	79	4	no	—
757	#550	—	79	8	no	—
758	#550	—	79	4	no	—
759	#550	—	79	4	no	—
760	#548	—	79	8	no	—
761	#548	—	79	8	no	—
762	#547	—	79	4	no	—
763	#547	—	79	4	no	—
764	#547	—	79	4	no	—
765	#547	—	79	4	no	—
766	#546	—	79	8	no	—
767	#546	—	79	16	no	—
768	#546	—	79	8	no	—
769	#546	—	79	8	no	—
770	#546	—	79	8	no	—
771	#546	—	79	8	no	—
772	#546	—	79	8	no	—
773	#546	—	79	16	no	—
774	D₄²	—	79	16	no	—
775	D₄²	—	79	8	no	—
776	D₄²	—	79	8	no	—
777	D₄²	—	79	4	no	—
778	D₄²	—	79	4	no	—
779	D₄²	—	79	8	no	—
780	D₄²	—	79	8	no	—
781	D₄²	—	79	4	no	—
782	D₄²	—	79	4	no	—
783	D₄²	—	79	4	no	—
784	#542	—	79	8	no	—
785	#542	—	79	8	no	—
786	#540	—	79	8	no	—
787	#540	—	79	8	no	—
788	#538	—	79	16	no	—
789	#538	—	79	8	no	—
790	#538	—	79	16	no	—
791	#538	—	79	8	no	—
792	#537	—	79	4	no	—
793	#537	—	79	8	no	—
794	#537	—	79	8	no	—
795	#537	—	79	4	no	—
796	#535	—	79	4	no	—
797	#535	—	79	8	no	—
798	#535	—	79	4	no	—
799	#535	—	79	8	no	—
800	#535	—	79	8	no	—
801	#535	—	79	8	no	—
802	#535	—	79	8	no	—
803	#534	—	79	8	no	—
804	#534	—	79	8	no	—
805	#533	—	79	4	no	—
806	#533	—	79	1	no	—
807	#533	—	79	1	no	—
808	#533	—	79	1	no	—
809	#532	—	79	4	no	—
810	#532	—	79	4	no	—
811	#532	—	79	2	no	—
812	#532	—	79	2	no	—
813	#532	—	79	2	no	—
814	#532	—	79	2	no	—
815	#532	—	79	2	no	—
816	#532	—	79	2	no	—
817	#532	—	79	2	no	—
818	#532	—	79	2	no	—
819	#532	—	79	1	no	—
820	#532	—	79	1	no	—
821	#532	—	79	1	no	—
822	#532	C₂×D₇₉	1	2	yes	complemented
823	#532	C₂×D₇₉	1	2	yes	complemented
824	#532	C₂×D₇₉	1	2	yes	complemented
825	#532	C₂×D₇₉	1	2	yes	complemented
826	#532	C₂×D₇₉	1	2	yes	complemented
827	#532	C₂×D₇₉	1	2	yes	complemented
828	#532	C₂×D₇₉	1	2	yes	complemented
829	#532	C₂×D₇₉	1	2	yes	complemented
830	C₂×C₄⋊Q₈	—	79	1	no	—
831	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
832	C₂×#127	—	79	4	no	—
833	C₂×#127	—	79	1	no	—
834	C₂×#127	C₂×D₇₉	1	1	yes	characteristic, complemented
835	#529	—	79	2	no	—
836	#529	—	79	2	no	—
837	#529	—	79	2	no	—
838	#529	—	79	2	no	—
839	#529	—	79	2	no	—
840	#529	—	79	2	no	—
841	C₂×#124	—	79	2	no	—
842	C₂×#124	C₂×D₇₉	1	2	yes	complemented
843	#525	—	79	2	no	—
844	#525	—	79	2	no	—
845	#525	—	79	2	no	—
846	#525	—	79	8	no	—
847	#525	—	79	8	no	—
848	C₂×#121	—	79	2	no	—
849	C₂×#121	—	79	2	no	—
850	C₂×#121	—	79	8	no	—
851	C₂×#121	—	79	8	no	—
852	C₂×#121	C₂×D₇₉	1	2	yes	complemented
853	C₂×#121	C₂×D₇₉	1	2	yes	complemented
854	#520	—	79	4	no	—
855	#520	—	79	4	no	—
856	#518	—	79	8	no	—
857	C₄×#41	—	79	2	no	—
858	C₄×#41	—	79	2	no	—
859	C₄×#41	—	79	2	no	—
860	C₂×C₄×D₄	—	79	2	no	—
861	C₂×C₄×D₄	—	79	2	no	—
862	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
863	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
864	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic, complemented
865	H(5,𝔽₂)	—	316	16	no	—
866	H(5,𝔽₂)	—	316	16	no	—
867	C₂×#41	—	4	8	no	—
868	C₂×#41	—	316	8	no	—
869	C₂×#41	—	79	8	no	—
870	C₂×#41	—	79	8	no	—
871	C₂×#41	—	79	8	no	—
872	C₂×#41	—	79	2	no	—
873	C₂×#41	—	79	8	no	—
874	C₂×#41	—	79	4	no	—
875	C₂×#41	—	79	4	no	—
876	C₂×#41	—	79	4	no	—
877	C₂×#41	—	79	2	no	—
878	C₂×#41	—	79	2	no	—
879	C₂×#41	—	79	4	no	—
880	C₂×#41	C₂²×D₇₉	1	4	yes	—
881	C₂×#41	C₂²×D₇₉	1	4	yes	—
882	C₂×#41	C₂²×D₇₉	1	4	yes	—
883	C₂×#41	C₂²×D₇₉	1	4	yes	—
884	C₂²×Q₈	—	79	2	no	—
885	C₂²×Q₈	C₂²×D₇₉	1	2	yes	—
886	C₂²×D₄	—	79	4	no	—
887	C₂²×D₄	—	79	16	no	—
888	C₂²×D₄	—	79	8	no	—
889	C₂²×D₄	—	79	16	no	—
890	C₂²×D₄	—	79	8	no	—
891	C₂²×D₄	—	79	8	no	—
892	C₂²×D₄	—	79	8	no	—
893	C₂²×D₄	—	79	2	no	—
894	C₂²×D₄	—	79	8	no	—
895	C₂²×D₄	—	79	2	no	—
896	C₂²×D₄	—	79	2	no	—
897	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
898	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
899	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
900	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
901	C₂³×C₄	—	79	4	no	—
902	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
903	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
904	C₂³×C₄	C₂²×D₇₉	1	4	yes	—
905	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
906	C₄⋊Q₈	—	79	2	no	—
907	C₄⋊Q₈	—	79	2	no	—
908	C₄⋊Q₈	—	79	2	no	—
909	C₄⋊Q₈	—	79	2	no	—
910	C₄⋊Q₈	—	79	1	no	—
911	C₄⋊Q₈	—	79	1	no	—
912	C₄⋊Q₈	—	79	1	no	—
913	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	—
914	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	—
915	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	—
916	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	—
917	#127	—	79	8	no	—
918	#127	—	79	8	no	—
919	#127	—	79	8	no	—
920	#127	—	79	16	no	—
921	#127	—	79	2	no	—
922	#127	—	79	2	no	—
923	#127	—	79	2	no	—
924	#127	—	79	2	no	—
925	#127	—	79	1	no	—
926	#127	C₂²×D₇₉	1	2	yes	—
927	#127	C₂²×D₇₉	1	2	yes	—
928	#127	C₂²×D₇₉	1	2	yes	—
929	#127	C₂²×D₇₉	1	2	yes	—
930	#126	—	79	16	no	—
931	#126	—	79	16	no	—
932	#126	—	79	4	no	—
933	#126	—	79	4	no	—
934	#125	—	79	8	no	—
935	#125	—	79	2	no	—
936	#125	—	79	2	no	—
937	#125	—	79	2	no	—
938	#124	—	79	8	no	—
939	#124	—	79	16	no	—
940	#124	—	79	8	no	—
941	#124	—	79	16	no	—
942	#124	—	79	16	no	—
943	#124	—	79	4	no	—
944	#124	—	79	4	no	—
945	#124	—	79	4	no	—
946	#124	—	79	4	no	—
947	#124	—	79	2	no	—
948	#124	—	79	2	no	—
949	#124	—	79	2	no	—
950	#124	C₂²×D₇₉	1	4	yes	—
951	#124	C₂²×D₇₉	1	4	yes	—
952	#124	C₂²×D₇₉	1	4	yes	—
953	#124	C₂²×D₇₉	1	4	yes	—
954	#123	—	79	4	no	—
955	#123	—	79	4	no	—
956	#123	—	79	4	no	—
957	#123	—	79	16	no	—
958	#123	—	79	16	no	—
959	#123	—	79	16	no	—
960	#123	—	79	16	no	—
961	#123	—	79	16	no	—
962	#123	—	79	16	no	—
963	C₂²⋊Q₈	—	79	8	no	—
964	C₂²⋊Q₈	—	79	16	no	—
965	C₂²⋊Q₈	—	79	2	no	—
966	C₂²⋊Q₈	—	79	2	no	—
967	C₂²⋊Q₈	—	79	2	no	—
968	C₂²⋊Q₈	—	79	2	no	—
969	C₂²⋊Q₈	—	79	2	no	—
970	C₂²⋊Q₈	—	79	2	no	—
971	C₂²⋊Q₈	—	79	8	no	—
972	C₂²⋊Q₈	—	79	8	no	—
973	C₂²⋊Q₈	—	79	8	no	—
974	C₂²⋊Q₈	—	79	16	no	—
975	#121	—	79	16	no	—
976	#121	—	79	8	no	—
977	#121	—	79	8	no	—
978	#121	—	79	8	no	—
979	#121	—	79	8	no	—
980	#121	—	79	16	no	—
981	#121	—	79	16	no	—
982	#121	—	79	16	no	—
983	#121	—	79	16	no	—
984	#121	—	79	2	no	—
985	#121	—	79	2	no	—
986	#121	—	79	4	no	—
987	#121	—	79	4	no	—
988	#121	—	79	4	no	—
989	#121	—	79	4	no	—
990	#121	—	79	4	no	—
991	#121	—	79	4	no	—
992	#121	—	79	4	no	—
993	#121	—	79	4	no	—
994	#121	—	79	16	no	—
995	#121	—	79	8	no	—
996	#121	—	79	8	no	—
997	#121	—	79	16	no	—
998	#121	—	79	2	no	—
999	#121	—	79	2	no	—
1000	#121	—	79	2	no	—
1001	#121	—	79	2	no	—
1002	#121	—	79	8	no	—
1003	#121	—	79	8	no	—
1004	#121	—	79	8	no	—
1005	#121	—	79	8	no	—
1006	#121	—	79	16	no	—
1007	#121	—	79	16	no	—
1008	#121	—	79	16	no	—
1009	#121	C₂²×D₇₉	1	4	yes	—
1010	#121	C₂²×D₇₉	1	4	yes	—
1011	#121	C₂²×D₇₉	1	4	yes	—
1012	#121	C₂²×D₇₉	1	4	yes	—
1013	#121	C₂²×D₇₉	1	4	yes	—
1014	#121	C₂²×D₇₉	1	4	yes	—
1015	#121	C₂²×D₇₉	1	4	yes	—
1016	#121	C₂²×D₇₉	1	4	yes	—
1017	#120	—	79	4	no	—
1018	#120	—	79	16	no	—
1019	#120	—	79	16	no	—
1020	#120	—	79	16	no	—
1021	#120	—	79	16	no	—
1022	#120	—	79	16	no	—
1023	#120	—	79	16	no	—
1024	#120	—	79	16	no	—
1025	#120	—	79	16	no	—
1026	C₄×Q₈	—	79	8	no	—
1027	C₄×Q₈	—	79	8	no	—
1028	C₄×Q₈	—	79	2	no	—
1029	C₄×Q₈	—	79	2	no	—
1030	C₄×Q₈	—	79	2	no	—
1031	C₄×Q₈	—	79	2	no	—
1032	C₄×Q₈	—	79	2	no	—
1033	C₄×Q₈	—	79	2	no	—
1034	C₄×D₄	—	79	8	no	—
1035	C₄×D₄	—	79	16	no	—
1036	C₄×D₄	—	79	8	no	—
1037	C₄×D₄	—	79	4	no	—
1038	C₄×D₄	—	79	4	no	—
1039	C₄×D₄	—	79	4	no	—
1040	C₄×D₄	—	79	4	no	—
1041	C₄×D₄	—	79	4	no	—
1042	C₄×D₄	—	79	4	no	—
1043	C₄×D₄	—	79	16	no	—
1044	C₄×D₄	—	79	16	no	—
1045	C₄×D₄	—	79	8	no	—
1046	C₄×D₄	—	79	8	no	—
1047	C₄×D₄	—	79	16	no	—
1048	C₄×D₄	—	79	4	no	—
1049	C₄×D₄	—	79	4	no	—
1050	C₄×D₄	—	79	4	no	—
1051	C₄×D₄	—	79	4	no	—
1052	C₄×D₄	—	79	4	no	—
1053	C₄×D₄	—	79	4	no	—
1054	C₄×D₄	—	79	4	no	—
1055	C₄×D₄	—	79	4	no	—
1056	C₄×D₄	—	79	2	no	—
1057	C₄×D₄	—	79	2	no	—
1058	C₄×D₄	—	79	2	no	—
1059	C₄×D₄	—	79	2	no	—
1060	C₄×D₄	—	79	2	no	—
1061	C₄×D₄	—	79	2	no	—
1062	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1063	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1064	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1065	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1066	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1067	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1068	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1069	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1070	#117	—	79	2	no	—
1071	#117	—	79	2	no	—
1072	#117	—	79	2	no	—
1073	#117	—	79	8	no	—
1074	#117	—	79	8	no	—
1075	#117	—	79	8	no	—
1076	#117	—	79	4	no	—
1077	#117	—	79	4	no	—
1078	#117	—	79	4	no	—
1079	C₂×C₄⋊C₄	—	79	2	no	—
1080	C₂×C₄⋊C₄	—	79	2	no	—
1081	C₂×C₄⋊C₄	—	79	8	no	—
1082	C₂×C₄⋊C₄	—	79	8	no	—
1083	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1084	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1085	C₂×C₂²⋊C₄	—	79	4	no	—
1086	C₂×C₂²⋊C₄	—	79	4	no	—
1087	C₂×C₂²⋊C₄	—	79	16	no	—
1088	C₂×C₂²⋊C₄	—	79	16	no	—
1089	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1090	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1091	C₂×C₄²	—	79	4	no	—
1092	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1093	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1094	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1095	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1096	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1097	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1098	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1099	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1100	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1101	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1102	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1103	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1104	C₂⁴	—	79	16	no	—
1105	C₂⁴	—	79	4	no	—
1106	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1107	C₂⁴	C₂³×D₇₉	1	4	yes	—
1108	#41	—	2	16	no	—
1109	#41	—	4	8	no	—
1110	#41	—	4	8	no	—
1111	#41	—	4	8	no	—
1112	#41	—	316	8	no	—
1113	#41	—	316	16	no	—
1114	#41	—	316	8	no	—
1115	#41	—	316	8	no	—
1116	#41	—	316	4	no	—
1117	#41	—	316	16	no	—
1118	#41	—	316	16	no	—
1119	#41	—	316	16	no	—
1120	#41	—	158	8	no	—
1121	#41	—	158	16	no	—
1122	#41	—	158	8	no	—
1123	C₂×Q₈	—	4	4	no	—
1124	C₂×Q₈	—	316	4	no	—
1125	C₂×Q₈	—	79	2	no	—
1126	C₂×Q₈	—	79	4	no	—
1127	C₂×Q₈	—	79	2	no	—
1128	C₂×Q₈	—	79	2	no	—
1129	C₂×Q₈	—	79	4	no	—
1130	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1131	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1132	C₂×D₄	—	2	8	no	—
1133	C₂×D₄	—	4	4	no	—
1134	C₂×D₄	—	4	4	no	—
1135	C₂×D₄	—	4	8	no	—
1136	C₂×D₄	—	316	4	no	—
1137	C₂×D₄	—	316	4	no	—
1138	C₂×D₄	—	316	16	no	—
1139	C₂×D₄	—	316	32	no	—
1140	C₂×D₄	—	316	8	no	—
1141	C₂×D₄	—	316	32	no	—
1142	C₂×D₄	—	316	16	no	—
1143	C₂×D₄	—	316	16	no	—
1144	C₂×D₄	—	316	16	no	—
1145	C₂×D₄	—	316	16	no	—
1146	C₂×D₄	—	79	4	no	—
1147	C₂×D₄	—	79	16	no	—
1148	C₂×D₄	—	79	16	no	—
1149	C₂×D₄	—	79	8	no	—
1150	C₂×D₄	—	79	16	no	—
1151	C₂×D₄	—	79	16	no	—
1152	C₂×D₄	—	79	8	no	—
1153	C₂×D₄	—	79	4	no	—
1154	C₂×D₄	—	79	4	no	—
1155	C₂×D₄	—	79	2	no	—
1156	C₂×D₄	—	79	4	no	—
1157	C₂×D₄	—	79	4	no	—
1158	C₂×D₄	—	79	16	no	—
1159	C₂×D₄	—	79	4	no	—
1160	C₂×D₄	—	79	2	no	—
1161	C₂×D₄	—	79	2	no	—
1162	C₂×D₄	—	79	4	no	—
1163	C₂×D₄	—	79	4	no	—
1164	C₂×D₄	—	79	4	no	—
1165	C₂×D₄	—	158	8	no	—
1166	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1167	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1168	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1169	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1170	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1171	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1172	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1173	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1174	C₂²×C₄	—	2	4	no	—
1175	C₂²×C₄	—	2	4	no	—
1176	C₂²×C₄	—	4	8	no	—
1177	C₂²×C₄	—	4	2	no	—
1178	C₂²×C₄	—	316	8	no	—
1179	C₂²×C₄	—	79	4	no	—
1180	C₂²×C₄	—	79	16	no	—
1181	C₂²×C₄	—	79	8	no	—
1182	C₂²×C₄	—	79	16	no	—
1183	C₂²×C₄	—	79	4	no	—
1184	C₂²×C₄	—	79	4	no	—
1185	C₂²×C₄	—	79	4	no	—
1186	C₂²×C₄	—	79	8	no	—
1187	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1201	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1203	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1204	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1205	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1206	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1207	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1208	C₄⋊C₄	—	79	16	no	—
1209	C₄⋊C₄	—	79	4	no	—
1210	C₄⋊C₄	—	79	4	no	—
1211	C₄⋊C₄	—	79	4	no	—
1212	C₄⋊C₄	—	79	4	no	—
1213	C₄⋊C₄	—	79	4	no	—
1214	C₄⋊C₄	—	79	4	no	—
1215	C₄⋊C₄	—	79	2	no	—
1216	C₄⋊C₄	—	79	2	no	—
1217	C₄⋊C₄	—	79	4	no	—
1218	C₄⋊C₄	—	79	4	no	—
1219	C₄⋊C₄	—	79	4	no	—
1220	C₄⋊C₄	—	79	4	no	—
1221	C₄⋊C₄	—	79	16	no	—
1222	C₄⋊C₄	—	79	2	no	—
1223	C₄⋊C₄	—	79	2	no	—
1224	C₄⋊C₄	—	79	2	no	—
1225	C₄⋊C₄	—	79	2	no	—
1226	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1227	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1228	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1229	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1230	C₂²⋊C₄	—	79	16	no	—
1231	C₂²⋊C₄	—	79	4	no	—
1232	C₂²⋊C₄	—	79	4	no	—
1233	C₂²⋊C₄	—	79	16	no	—
1234	C₂²⋊C₄	—	79	4	no	—
1235	C₂²⋊C₄	—	79	4	no	—
1236	C₂²⋊C₄	—	79	4	no	—
1237	C₂²⋊C₄	—	79	8	no	—
1238	C₂²⋊C₄	—	79	16	no	—
1239	C₂²⋊C₄	—	79	16	no	—
1240	C₂²⋊C₄	—	79	8	no	—
1241	C₂²⋊C₄	—	79	8	no	—
1242	C₂²⋊C₄	—	79	8	no	—
1243	C₂²⋊C₄	—	79	4	no	—
1244	C₂²⋊C₄	—	79	4	no	—
1245	C₂²⋊C₄	—	79	4	no	—
1246	C₂²⋊C₄	—	79	4	no	—
1247	C₂²⋊C₄	—	79	16	no	—
1248	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1249	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1250	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1251	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1252	C₄²	—	79	4	no	—
1253	C₄²	—	79	4	no	—
1254	C₄²	—	79	4	no	—
1255	C₄²	—	79	16	no	—
1256	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1257	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1258	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1259	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1260	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1261	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1262	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1263	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1264	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1265	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1266	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1267	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1268	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1269	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1270	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1271	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1272	C₂³	—	2	2	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	2	8	no	—
1275	C₂³	—	4	1	no	—
1276	C₂³	—	4	4	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	316	4	no	—
1279	C₂³	—	316	4	no	—
1280	C₂³	—	316	16	no	—
1281	C₂³	—	316	16	no	—
1282	C₂³	—	316	16	no	—
1283	C₂³	—	79	4	no	—
1284	C₂³	—	79	8	no	—
1285	C₂³	—	158	8	no	—
1286	C₂³	C₂⁴×D₇₉	1	8	yes	—
1287	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1288	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1289	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1290	Q₈	—	2	8	no	—
1291	Q₈	—	4	4	no	—
1292	Q₈	—	316	4	no	—
1293	Q₈	—	316	2	no	—
1294	Q₈	—	158	4	no	—
1295	Q₈	—	158	8	no	—
1296	Q₈	—	158	4	no	—
1297	D₄	—	2	16	no	—
1298	D₄	—	2	8	no	—
1299	D₄	—	2	8	no	—
1300	D₄	—	2	8	no	—
1301	D₄	—	2	8	no	—
1302	D₄	—	4	4	no	—
1303	D₄	—	4	4	no	—
1304	D₄	—	4	8	no	—
1305	D₄	—	316	16	no	—
1306	D₄	—	316	4	no	—
1307	D₄	—	316	4	no	—
1308	D₄	—	316	2	no	—
1309	D₄	—	316	16	no	—
1310	D₄	—	316	16	no	—
1311	D₄	—	316	16	no	—
1312	D₄	—	316	16	no	—
1313	D₄	—	316	8	no	—
1314	D₄	—	316	4	no	—
1315	D₄	—	158	8	no	—
1316	D₄	—	158	8	no	—
1317	D₄	—	158	16	no	—
1318	D₄	—	158	4	no	—
1319	D₄	—	158	8	no	—
1320	D₄	—	158	8	no	—
1321	D₄	—	158	4	no	—
1322	D₄	—	158	8	no	—
1323	D₄	—	158	8	no	—
1324	C₂×C₄	—	2	2	no	—
1325	C₂×C₄	—	2	2	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	16	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	4	1	no	—
1339	C₂×C₄	—	4	1	no	—
1340	C₂×C₄	—	4	1	no	—
1341	C₂×C₄	—	4	4	no	—
1342	C₂×C₄	—	4	8	no	—
1343	C₂×C₄	—	316	8	no	—
1344	C₂×C₄	—	316	16	no	—
1345	C₂×C₄	—	316	4	no	—
1346	C₂×C₄	—	316	16	no	—
1347	C₂×C₄	—	79	4	no	—
1348	C₂×C₄	—	79	8	no	—
1349	C₂×C₄	—	79	4	no	—
1350	C₂×C₄	—	79	4	no	—
1351	C₂×C₄	—	158	8	no	—
1352	C₂×C₄	—	158	16	no	—
1353	C₂×C₄	—	158	8	no	—
1354	C₂×C₄	—	158	8	no	—
1355	C₂×C₄	#14579206	1	4	yes	complemented
1356	C₂×C₄	#14579207	1	4	yes	complemented
1357	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1358	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1359	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1360	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1361	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1362	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1363	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1364	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1365	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1366	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1367	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1368	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1369	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	8	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	2	8	no	—
1378	C₂²	—	2	1	no	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	4	4	no	—
1381	C₂²	—	8	8	no	—
1382	C₂²	—	632	8	no	—
1383	C₂²	—	158	8	no	—
1384	C₂²	—	158	4	no	—
1385	C₂²	—	158	8	no	—
1386	C₂²	—	158	4	no	—
1387	C₂²	—	158	4	no	—
1388	C₂²	—	158	8	no	—
1389	C₂²	—	1264	16	no	—
1390	C₂²	C₂×#14579206	1	2	yes	—
1391	C₂²	C₂×#14579207	1	2	yes	—
1392	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	8	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	158	4	no	—
1402	C₄	—	158	4	no	—
1403	C₄	—	158	8	no	—
1404	C₄	—	158	4	no	—
1405	C₄	C₂×#14579206	1	2	yes	—
1406	C₄	C₂×#14579206	1	2	yes	—
1407	C₄	C₂×#14579207	1	2	yes	—
1408	C₄	C₂×#14579207	1	2	yes	—
1409	C₄	#19099399	1	2	yes	—
1410	C₂	—	2	2	no	—
1411	C₂	—	2	2	no	—
1412	C₂	—	4	1	no	—
1413	C₂	—	4	8	no	—
1414	C₂	—	316	8	no	—
1415	C₂	—	316	4	no	—
1416	C₂	C₂²×#14579206	1	1	yes	characteristic
1417	C₂	C₂²×#14579207	1	1	yes	characteristic
1418	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₂×#532×C₇₉	C₂
hypercenter	C₂×#532	D₇₉
hypocenter	C₇₉	#62834
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂×#532

Complements

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

N	H ≅ G/N	type
1. #23777923	C₂	semidirect
2. #23777919	C₂	semidirect
3. #23777805	C₂	semidirect
4. #23777798	C₂	semidirect
5. #23777772	C₂	semidirect
6. #23777766	C₂	semidirect
7. #23777635	C₂	semidirect
8. #23777432	C₂	semidirect
9. #23777427	C₂	semidirect
10. #23777313	C₂	semidirect
11. #23777307	C₂	semidirect
12. #23777269	C₂	semidirect
13. #23777252	C₂	semidirect
14. #23777249	C₂	semidirect
15. #23777176	C₂	semidirect
16. #23777173	C₂	semidirect
17. #23777164	C₂	semidirect
18. #23777162	C₂	semidirect
19. #23777069	C₂	semidirect
20. #23777065	C₂	semidirect
21. #23776696	C₂	semidirect
22. C₂×#19099113	C₂	semidirect
23. C₂×#532×C₇₉	C₂	semidirect
24. C₂×#14579207	C₂²	semidirect
25. C₂×#14579206	C₂²	semidirect
26. C₂²×#11929624	C₂²	semidirect
27. #19099307	C₂²	semidirect
28. #19099305	C₂²	semidirect
29. #19099301	C₂²	semidirect
30. #19099296	C₂²	semidirect
31. #19099295	C₂²	semidirect
32. #19099287	C₂²	semidirect
33. #19099283	C₂²	semidirect
34. #19099279	C₂²	semidirect
35. #19099278	C₂²	semidirect
36. #19099278	C₂²	semidirect
37. #19099274	C₂²	semidirect
38. #19099270	C₂²	semidirect
39. #19099265	C₂²	semidirect
40. #19099263	C₂²	semidirect
41. #19099261	C₂²	semidirect
42. #19099259	C₂²	semidirect
43. #19099234	C₂²	semidirect
44. #19099234	C₂²	semidirect
45. #19099233	C₂²	semidirect
46. #19099233	C₂²	semidirect
47. #19099232	C₂²	semidirect
48. #19099231	C₂²	semidirect
49. #19099224	C₂²	semidirect
50. #19099219	C₂²	semidirect
51. #19099218	C₂²	semidirect
52. #19099217	C₂²	semidirect
53. #19099217	C₂²	semidirect
54. #19099216	C₂²	semidirect
55. #19099210	C₂²	semidirect
56. #19099209	C₂²	semidirect
57. #19099208	C₂²	semidirect
58. #19099208	C₂²	semidirect
59. #19099206	C₂²	semidirect
60. #19099203	C₂²	semidirect
61. #19099201	C₂²	semidirect
62. #19099201	C₂²	semidirect
63. D₄×D₃₁₆	C₂²	semidirect
64. D₄×D₃₁₆	C₂²	semidirect
65. D₄×D₃₁₆	C₂²	semidirect
66. #19099198	C₂²	semidirect
67. #19099198	C₂²	semidirect
68. #19099197	C₂²	semidirect
69. #19099197	C₂²	semidirect
70. D₄×C₂²⋊D₇₉	C₂²	semidirect
71. D₄×C₂²⋊D₇₉	C₂²	semidirect
72. D₄×C₂²⋊D₇₉	C₂²	semidirect
73. #19099187	C₂²	semidirect
74. #19099182	C₂²	semidirect
75. #19099166	C₂²	semidirect
76. #19099164	C₂²	semidirect
77. #19099151	C₂²	semidirect
78. #19099150	C₂²	semidirect
79. #19099147	C₂²	semidirect
80. #19099146	C₂²	semidirect
81. #19099144	C₂²	semidirect
82. #19099142	C₂²	semidirect
83. #19099141	C₂²	semidirect
84. #19099141	C₂²	semidirect
85. #19099131	C₂²	semidirect
86. #19099130	C₂²	semidirect
87. #19099129	C₂²	semidirect
88. #19099129	C₂²	semidirect
89. #19099127	C₂²	semidirect
90. #19099127	C₂²	semidirect
91. #19099126	C₂²	semidirect
92. #19099125	C₂²	semidirect
93. #19099121	C₂²	semidirect
94. #19099120	C₂²	semidirect
95. #19099120	C₂²	semidirect
96. #19099120	C₂²	semidirect
97. #19099118	C₂²	semidirect
98. #19099114	C₂²	semidirect
99. #19099113	C₂²	semidirect
100. #19099113	C₂²	semidirect
101. #19099113	C₂²	semidirect
102. #19099113	C₂²	semidirect
103. #19099113	C₂²	semidirect
104. #19099113	C₂²	semidirect
105. #19099113	C₂²	semidirect
106. #19099113	C₂²	semidirect
107. #19099113	C₂²	semidirect
108. #19099113	C₂²	semidirect
109. #19099113	C₂²	semidirect
110. #19099111	C₂²	semidirect
111. C₂×#14579161	C₂²	semidirect
112. C₂×#14579158	C₂²	semidirect
113. #127×D₇₉	C₂²	semidirect
114. #19099097	C₂²	semidirect
115. #19099097	C₂²	semidirect
116. #19099097	C₂²	semidirect
117. #19099097	C₂²	semidirect
118. #19099097	C₂²	semidirect
119. #19099097	C₂²	semidirect
120. C₂×#14579149	C₂²	semidirect
121. #19099074	C₂²	semidirect
122. #19099074	C₂²	semidirect
123. #19099074	C₂²	semidirect
124. #19099074	C₂²	semidirect
125. #19099073	C₂²	semidirect
126. C₂×#14579135	C₂²	semidirect
127. C₂×#14579135	C₂²	semidirect
128. C₂×#14579135	C₂²	semidirect
129. #121×D₇₉	C₂²	semidirect
130. #19099046	C₂²	semidirect
131. #19099044	C₂²	semidirect
132. #19099035	C₂²	semidirect
133. C₄×#11929624	C₂²	semidirect
134. C₄×#11929624	C₂²	semidirect
135. C₄×#11929624	C₂²	semidirect
136. C₂×C₄×D₃₁₆	C₂²	semidirect
137. C₂×C₄×D₃₁₆	C₂²	semidirect
138. C₂²×#41×C₇₉	C₂²	semidirect
139. #532×C₇₉	C₂²	semidirect
140. #532×C₇₉	C₂²	semidirect
141. #532×C₇₉	C₂²	semidirect
142. #532×C₇₉	C₂²	semidirect
143. #532×C₇₉	C₂²	semidirect
144. #532×C₇₉	C₂²	semidirect
145. #532×C₇₉	C₂²	semidirect
146. #532×C₇₉	C₂²	semidirect
147. C₂×C₄⋊Q₈×C₇₉	C₂²	semidirect
148. C₂×#127×C₇₉	C₂²	semidirect
149. C₂×#124×C₇₉	C₂²	semidirect
150. C₂×#121×C₇₉	C₂²	semidirect
151. C₂×#121×C₇₉	C₂²	semidirect
152. C₂×C₄×D₄×C₇₉	C₂²	semidirect
153. C₂×C₄×D₄×C₇₉	C₂²	semidirect
154. C₂²×C₄²×C₇₉	C₂²	semidirect
609. C₂×C₄×C₇₉	H(5,𝔽₂)	semidirect
610. C₂×C₄×C₇₉	H(5,𝔽₂)	semidirect
732. C₂×#532	D₇₉	semidirect
733. C₇₉	#62834	semidirect
737. C₂²×#41	C₂×D₇₉	semidirect
822. #532	C₂×D₇₉	semidirect
823. #532	C₂×D₇₉	semidirect
824. #532	C₂×D₇₉	semidirect
825. #532	C₂×D₇₉	semidirect
826. #532	C₂×D₇₉	semidirect
827. #532	C₂×D₇₉	semidirect
828. #532	C₂×D₇₉	semidirect
829. #532	C₂×D₇₉	semidirect
831. C₂×C₄⋊Q₈	C₂×D₇₉	semidirect
834. C₂×#127	C₂×D₇₉	semidirect
842. C₂×#124	C₂×D₇₉	semidirect
852. C₂×#121	C₂×D₇₉	semidirect
853. C₂×#121	C₂×D₇₉	semidirect
862. C₂×C₄×D₄	C₂×D₇₉	semidirect
863. C₂×C₄×D₄	C₂×D₇₉	semidirect
864. C₂²×C₄²	C₂×D₇₉	semidirect
1355. C₂×C₄	#14579206	semidirect
1356. C₂×C₄	#14579207	semidirect

Maximal subgroups

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

subgroup	index
#23777923	2
#23777919	2
#23777805	2
#23777798	2
#23777772	2
#23777766	2
#23777635	2
#23777432	2
#23777427	2
#23777313	2
#23777307	2
#23777269	2
#23777252	2
#23777249	2
#23777176	2
#23777173	2
#23777164	2
#23777162	2
#23777069	2
#23777065	2
#23776696	2
C₂×#19099113	2
C₂×#532×C₇₉	2
#62834	79