Subgroups — #35196912

Order 20224.

7242 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777693	C₂	1	4	yes	maximal, complemented
2	#23777685	C₂	1	4	yes	maximal, complemented
3	#23777649	C₂	1	2	yes	maximal, complemented
4	#23777645	C₂	1	2	yes	maximal, complemented
5	#23777627	C₂	1	2	yes	maximal, complemented
6	#23777622	C₂	1	2	yes	maximal, complemented
7	#23777613	C₂	1	4	yes	maximal, complemented
8	#23777603	C₂	1	4	yes	maximal, complemented
9	#23777449	C₂	1	4	yes	maximal, complemented
10	#23777437	C₂	1	4	yes	maximal, complemented
11	#23777239	C₂	1	2	yes	maximal, complemented
12	#23777234	C₂	1	2	yes	maximal, complemented
13	#23777203	C₂	1	2	yes	maximal, complemented
14	#23777196	C₂	1	2	yes	maximal, complemented
15	#23777154	C₂	1	2	yes	maximal, complemented
16	#23777152	C₂	1	2	yes	maximal, complemented
17	#23777106	C₂	1	2	yes	maximal, complemented
18	#23777101	C₂	1	4	yes	maximal, complemented
19	#23777087	C₂	1	4	yes	maximal, complemented
20	#23777080	C₂	1	2	yes	maximal, complemented
21	#23777072	C₂	1	2	yes	maximal, complemented
22	#23777047	C₂	1	2	yes	maximal, complemented
23	C₂×#19099074	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#14579140	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#525×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#14579208	C₂²	1	2	yes	complemented
27	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
28	C₂³×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
29	#19099316	C₂²	1	8	yes	complemented
30	#19099314	C₂²	1	8	yes	complemented
31	#19099310	C₂²	1	8	yes	complemented
32	#19099308	C₂²	1	8	yes	complemented
33	#19099283	C₂²	1	4	yes	complemented
34	#19099281	C₂²	1	4	yes	complemented
35	#19099272	C₂²	1	8	yes	complemented
36	#19099272	C₂²	1	8	yes	complemented
37	#19099271	C₂²	1	4	yes	complemented
38	#19099270	C₂²	1	4	yes	complemented
39	#19099270	C₂²	1	4	yes	complemented
40	#19099268	C₂²	1	8	yes	complemented
41	#19099268	C₂²	1	4	yes	complemented
42	#19099267	C₂²	1	8	yes	complemented
43	#19099265	C₂²	1	4	yes	complemented
44	#19099262	C₂²	1	8	yes	complemented
45	#19099259	C₂²	1	4	yes	complemented
46	#19099256	C₂²	1	8	yes	complemented
47	#19099255	C₂²	1	4	yes	complemented
48	#19099253	C₂²	1	4	yes	complemented
49	#19099253	C₂²	1	4	yes	complemented
50	#19099253	C₂²	1	4	yes	complemented
51	#19099252	C₂²	1	4	yes	complemented
52	#19099250	C₂²	1	8	yes	complemented
53	#19099248	C₂²	1	4	yes	complemented
54	#19099246	C₂²	1	8	yes	complemented
55	#19099244	C₂²	1	8	yes	complemented
56	#19099244	C₂²	1	8	yes	complemented
57	#19099242	C₂²	1	8	yes	complemented
58	#19099239	C₂²	1	8	yes	complemented
59	#19099239	C₂²	1	8	yes	complemented
60	#19099239	C₂²	1	8	yes	complemented
61	D₄×Dic₁₅₈	C₂²	1	4	yes	complemented
62	D₄×Dic₁₅₈	C₂²	1	4	yes	complemented
63	D₄×Dic₁₅₈	C₂²	1	4	yes	complemented
64	Q₈×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
65	#19099226	C₂²	1	4	yes	complemented
66	#19099226	C₂²	1	4	yes	complemented
67	#19099222	C₂²	1	4	yes	complemented
68	#19099222	C₂²	1	4	yes	complemented
69	#19099222	C₂²	1	4	yes	complemented
70	#19099220	C₂²	1	4	yes	complemented
71	#19099219	C₂²	1	4	yes	complemented
72	#19099219	C₂²	1	4	yes	complemented
73	#19099218	C₂²	1	4	yes	complemented
74	#19099217	C₂²	1	4	yes	complemented
75	#19099213	C₂²	1	4	yes	complemented
76	#19099212	C₂²	1	8	yes	complemented
77	#19099212	C₂²	1	4	yes	complemented
78	#19099211	C₂²	1	8	yes	complemented
79	#19099209	C₂²	1	4	yes	complemented
80	#19099207	C₂²	1	8	yes	complemented
81	#19099207	C₂²	1	8	yes	complemented
82	#19099207	C₂²	1	4	yes	complemented
83	#19099200	C₂²	1	8	yes	complemented
84	#19099200	C₂²	1	8	yes	complemented
85	#19099194	C₂²	1	4	yes	complemented
86	#19099192	C₂²	1	4	yes	complemented
87	#19099192	C₂²	1	4	yes	complemented
88	#19099191	C₂²	1	2	yes	complemented
89	#19099189	C₂²	1	4	yes	—
90	#19099189	C₂²	1	4	yes	complemented
91	#19099188	C₂²	1	4	yes	complemented
92	#19099184	C₂²	1	4	yes	complemented
93	#19099181	C₂²	1	8	yes	complemented
94	#19099180	C₂²	1	4	yes	complemented
95	#19099178	C₂²	1	8	yes	complemented
96	#19099175	C₂²	1	4	yes	complemented
97	#19099173	C₂²	1	4	yes	complemented
98	#19099162	C₂²	1	4	yes	complemented
99	#19099160	C₂²	1	4	yes	complemented
100	#19099158	C₂²	1	4	yes	complemented
101	#19099158	C₂²	1	4	yes	complemented
102	#19099157	C₂²	1	8	yes	complemented
103	#19099156	C₂²	1	8	yes	complemented
104	#19099155	C₂²	1	8	yes	complemented
105	#19099155	C₂²	1	8	yes	complemented
106	#19099151	C₂²	1	4	yes	complemented
107	#19099150	C₂²	1	4	yes	complemented
108	#19099148	C₂²	1	8	yes	complemented
109	#19099148	C₂²	1	8	yes	complemented
110	#19099142	C₂²	1	4	yes	complemented
111	#19099141	C₂²	1	2	yes	complemented
112	#19099141	C₂²	1	4	yes	complemented
113	#19099140	C₂²	1	4	yes	complemented
114	#19099139	C₂²	1	2	yes	complemented
115	#19099136	C₂²	1	4	yes	complemented
116	#19099135	C₂²	1	8	yes	complemented
117	#19099134	C₂²	1	2	yes	complemented
118	#19099134	C₂²	1	4	yes	complemented
119	#19099122	C₂²	1	4	yes	—
120	#19099120	C₂²	1	4	yes	complemented
121	#19099115	C₂²	1	4	yes	complemented
122	#19099097	C₂²	1	4	yes	complemented
123	#19099094	C₂²	1	4	yes	complemented
124	#19099074	C₂²	1	2	yes	—
125	#19099074	C₂²	1	2	yes	—
126	#19099074	C₂²	1	2	yes	—
127	#19099074	C₂²	1	2	yes	—
128	#19099074	C₂²	1	2	yes	complemented
129	#19099074	C₂²	1	2	yes	complemented
130	#19099074	C₂²	1	2	yes	complemented
131	#19099074	C₂²	1	2	yes	complemented
132	#19099074	C₂²	1	4	yes	complemented
133	#19099073	C₂²	1	4	yes	complemented
134	#19099069	C₂²	1	8	yes	complemented
135	#19099069	C₂²	1	8	yes	complemented
136	C₂×#14579144	C₂²	1	2	yes	complemented
137	C₂×#14579140	C₂²	1	2	yes	—
138	C₂×#14579140	C₂²	1	2	yes	—
139	C₂×#14579140	C₂²	1	1	yes	characteristic
140	C₂×#14579140	C₂²	1	2	yes	complemented
141	C₂×#14579140	C₂²	1	2	yes	complemented
142	C₂×#14579140	C₂²	1	2	yes	complemented
143	C₂×#14579140	C₂²	1	2	yes	complemented
144	C₂×#14579140	C₂²	1	2	yes	complemented
145	C₂×#14579140	C₂²	1	2	yes	complemented
146	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
147	C₂×#14579140	C₂²	1	2	yes	complemented
148	C₂×#14579140	C₂²	1	2	yes	complemented
149	C₂×#14579140	C₂²	1	2	yes	complemented
150	C₂×#14579140	C₂²	1	2	yes	complemented
151	C₂×#14579140	C₂²	1	4	yes	complemented
152	C₂²⋊Q₈×D₇₉	C₂²	1	4	yes	complemented
153	C₂×#14579135	C₂²	1	1	yes	characteristic
154	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
155	C₂×#14579130	C₂²	1	2	yes	—
156	#19099046	C₂²	1	2	yes	complemented
157	#19099043	C₂²	1	2	yes	complemented
158	#19099042	C₂²	1	8	yes	complemented
159	#19099040	C₂²	1	2	yes	complemented
160	#19099038	C₂²	1	4	yes	—
161	#19099036	C₂²	1	4	yes	—
162	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	—
163	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
164	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
165	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
166	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
167	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	—
168	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
169	C₂⁴×C₄×C₇₉	C₂²	1	1	yes	characteristic
170	#525×C₇₉	C₂²	1	2	yes	—
171	#525×C₇₉	C₂²	1	2	yes	—
172	#525×C₇₉	C₂²	1	2	yes	—
173	#525×C₇₉	C₂²	1	2	yes	—
174	#525×C₇₉	C₂²	1	2	yes	complemented
175	#525×C₇₉	C₂²	1	2	yes	complemented
176	#525×C₇₉	C₂²	1	2	yes	complemented
177	#525×C₇₉	C₂²	1	2	yes	complemented
178	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
179	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
180	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
181	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
182	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
183	C₂×#120×C₇₉	C₂²	1	2	yes	—
184	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	—
185	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
186	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
187	#14579208	—	4	8	no	—
188	C₂×#11929624	—	4	4	no	—
189	C₂×#11929624	C₂³	1	2	yes	—
190	C₂×#11929624	C₂³	1	2	yes	—
191	C₂×#11929624	C₂³	1	2	yes	—
192	C₂×#11929624	C₂³	1	2	yes	—
193	C₂×#11929624	C₂³	1	4	yes	complemented
194	C₂×#11929623	C₂³	1	8	yes	—
195	C₂×#11929623	C₂³	1	8	yes	—
196	C₂×#11929623	C₂³	1	4	yes	complemented
197	C₂²×Dic₁₅₈	—	4	4	no	—
198	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
199	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
200	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
201	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
202	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
203	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
204	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
205	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
206	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
207	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
209	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
210	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
211	C₂³×Dic₇₉	C₂³	1	2	yes	—
212	C₂³×Dic₇₉	C₂³	1	2	yes	—
213	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
214	#14579161	C₂³	1	4	yes	complemented
215	#14579161	C₂³	1	4	yes	complemented
216	#14579160	C₂³	1	8	yes	complemented
217	#14579160	C₂³	1	8	yes	complemented
218	#14579160	C₂³	1	4	yes	complemented
219	#14579160	C₂³	1	8	yes	complemented
220	#14579159	C₂³	1	4	yes	complemented
221	#14579159	C₂³	1	8	yes	complemented
222	#14579156	C₂³	1	8	yes	complemented
223	#14579156	C₂³	1	8	yes	complemented
224	#14579155	C₂³	1	8	yes	complemented
225	#14579154	C₂³	1	8	yes	—
226	#14579154	C₂³	1	8	yes	—
227	#14579154	C₂³	1	8	yes	—
228	#14579154	C₂³	1	8	yes	—
229	#14579154	C₂³	1	8	yes	complemented
230	#14579154	C₂³	1	8	yes	complemented
231	#14579154	C₂³	1	8	yes	complemented
232	#14579153	C₂³	1	8	yes	complemented
233	#14579153	C₂³	1	4	yes	complemented
234	#14579152	C₂³	1	8	yes	complemented
235	#14579152	C₂³	1	8	yes	complemented
236	#14579152	C₂³	1	4	yes	complemented
237	#14579151	C₂³	1	8	yes	complemented
238	#14579151	C₂³	1	8	yes	complemented
239	#14579151	C₂³	1	8	yes	complemented
240	#14579151	C₂³	1	8	yes	complemented
241	#14579151	C₂³	1	8	yes	complemented
242	#14579149	C₂³	1	4	yes	complemented
243	#14579148	C₂³	1	8	yes	—
244	#14579148	C₂³	1	8	yes	—
245	#14579148	C₂³	1	4	yes	complemented
246	#14579147	C₂³	1	8	yes	—
247	#14579147	C₂³	1	8	yes	—
248	#14579147	C₂³	1	8	yes	complemented
249	#14579147	C₂³	1	8	yes	complemented
250	#14579146	C₂³	1	8	yes	complemented
251	#14579145	C₂³	1	8	yes	—
252	#14579145	C₂³	1	8	yes	—
253	#14579145	C₂³	1	8	yes	complemented
254	#14579144	C₂³	1	4	yes	—
255	#14579144	C₂³	1	4	yes	—
256	#14579144	C₂³	1	8	yes	—
257	#14579144	C₂³	1	4	yes	—
258	#14579144	C₂³	1	4	yes	—
259	#14579144	C₂³	1	8	yes	complemented
260	#14579143	C₂³	1	8	yes	—
261	#14579143	C₂³	1	8	yes	—
262	#14579143	C₂³	1	8	yes	complemented
263	#14579143	C₂³	1	8	yes	complemented
264	#14579142	C₂³	1	8	yes	—
265	#14579142	C₂³	1	8	yes	—
266	#14579142	C₂³	1	8	yes	—
267	#14579142	C₂³	1	8	yes	—
268	#14579142	C₂³	1	8	yes	—
269	#14579142	C₂³	1	8	yes	complemented
270	#14579141	C₂³	1	4	yes	complemented
271	#14579141	C₂³	1	4	yes	complemented
272	#14579141	C₂³	1	8	yes	complemented
273	#14579140	C₂³	1	4	yes	—
274	#14579140	C₂³	1	4	yes	—
275	#14579140	C₂³	1	4	yes	—
276	#14579140	C₂³	1	4	yes	—
277	#14579140	C₂³	1	4	yes	—
278	#14579140	C₂³	1	4	yes	—
279	#14579140	C₂³	1	2	yes	—
280	#14579140	C₂³	1	2	yes	—
281	#14579140	C₂³	1	8	yes	—
282	#14579140	C₂³	1	8	yes	—
283	#14579140	C₂³	1	2	yes	—
284	#14579140	C₂³	1	4	yes	—
285	#14579140	C₂³	1	4	yes	—
286	#14579140	C₂³	1	4	yes	—
287	#14579140	C₂³	1	4	yes	—
288	#14579140	C₂³	1	2	yes	—
289	#14579140	C₂³	1	2	yes	—
290	#14579140	C₂³	1	4	yes	—
291	#14579140	C₂³	1	4	yes	—
292	#14579140	C₂³	1	2	yes	—
293	#14579140	C₂³	1	4	yes	—
294	#14579140	C₂³	1	4	yes	—
295	#14579140	C₂³	1	4	yes	—
296	#14579140	C₂³	1	2	yes	—
297	#14579140	C₂³	1	4	yes	—
298	#14579140	C₂³	1	2	yes	—
299	#14579140	C₂³	1	4	yes	complemented
300	#14579140	C₂³	1	4	yes	complemented
301	#14579140	C₂³	1	8	yes	complemented
302	#14579140	C₂³	1	4	yes	complemented
303	#14579139	C₂³	1	8	yes	complemented
304	#14579139	C₂³	1	8	yes	complemented
305	#14579139	C₂³	1	8	yes	complemented
306	#14579139	C₂³	1	8	yes	complemented
307	#14579138	C₂³	1	8	yes	—
308	#14579138	C₂³	1	8	yes	—
309	#14579138	C₂³	1	8	yes	—
310	#14579138	C₂³	1	8	yes	—
311	#14579138	C₂³	1	8	yes	—
312	#14579138	C₂³	1	8	yes	—
313	#14579138	C₂³	1	8	yes	complemented
314	#14579138	C₂³	1	8	yes	complemented
315	#14579138	C₂³	1	8	yes	complemented
316	#14579138	C₂³	1	8	yes	complemented
317	#14579138	C₂³	1	8	yes	complemented
318	#14579137	C₂³	1	4	yes	complemented
319	#14579137	C₂³	1	8	yes	complemented
320	#14579135	C₂³	1	2	yes	—
321	#14579135	C₂³	1	2	yes	—
322	#14579135	C₂³	1	2	yes	—
323	#14579135	C₂³	1	2	yes	—
324	#14579135	C₂³	1	2	yes	—
325	#14579135	C₂³	1	2	yes	—
326	#14579135	C₂³	1	2	yes	—
327	#14579135	C₂³	1	2	yes	—
328	#14579135	C₂³	1	4	yes	complemented
329	#14579134	C₂³	1	8	yes	complemented
330	#14579133	C₂³	1	8	yes	—
331	#14579133	C₂³	1	8	yes	—
332	#14579133	C₂³	1	8	yes	—
333	#14579133	C₂³	1	8	yes	—
334	#14579133	C₂³	1	8	yes	—
335	#14579133	C₂³	1	8	yes	—
336	#14579133	C₂³	1	8	yes	complemented
337	#14579132	C₂³	1	8	yes	—
338	#14579132	C₂³	1	8	yes	—
339	#14579132	C₂³	1	4	yes	complemented
340	#14579130	C₂³	1	4	yes	—
341	#14579130	C₂³	1	8	yes	—
342	#14579130	C₂³	1	4	yes	—
343	#14579130	C₂³	1	4	yes	—
344	#14579130	C₂³	1	4	yes	—
345	#14579129	C₂³	1	8	yes	—
346	Q₈×Dic₇₉	C₂³	1	4	yes	complemented
347	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
348	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
349	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
350	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
351	#14579126	C₂³	1	4	yes	complemented
352	#14579126	C₂³	1	4	yes	complemented
353	#14579126	C₂³	1	8	yes	complemented
354	C₄×D₃₁₆	C₂³	1	4	yes	complemented
355	D₄×Dic₇₉	C₂³	1	8	yes	—
356	D₄×Dic₇₉	C₂³	1	8	yes	—
357	D₄×Dic₇₉	C₂³	1	8	yes	—
358	D₄×Dic₇₉	C₂³	1	8	yes	—
359	D₄×Dic₇₉	C₂³	1	8	yes	—
360	D₄×Dic₇₉	C₂³	1	8	yes	—
361	D₄×Dic₇₉	C₂³	1	4	yes	complemented
362	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
363	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
364	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
365	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
366	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
367	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
368	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
369	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
370	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
371	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
372	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
373	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
374	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
375	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
376	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
377	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
378	#14579120	C₂³	1	2	yes	—
379	#14579120	C₂³	1	2	yes	—
380	#14579120	C₂³	1	8	yes	—
381	#14579120	C₂³	1	2	yes	—
382	#14579120	C₂³	1	2	yes	—
383	#14579120	C₂³	1	4	yes	complemented
384	#14579119	C₂³	1	4	yes	complemented
385	#14579118	C₂³	1	8	yes	complemented
386	#14579117	C₂³	1	8	yes	—
387	#14579117	C₂³	1	8	yes	—
388	#14579117	C₂³	1	8	yes	—
389	#14579117	C₂³	1	8	yes	complemented
390	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
391	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
392	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
393	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
394	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
396	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
397	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	complemented
399	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
400	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
401	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
402	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
403	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
404	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
405	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
406	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
407	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
408	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
409	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
410	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
411	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
412	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
413	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
414	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
415	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
416	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
417	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
418	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
419	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
420	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
421	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
422	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
423	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
424	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
425	C₂×#41×C₇₉	—	4	4	no	—
426	C₂×#41×C₇₉	C₂³	1	2	yes	—
427	C₂×#41×C₇₉	C₂³	1	2	yes	—
428	C₂×#41×C₇₉	C₂³	1	2	yes	—
429	C₂×#41×C₇₉	C₂³	1	2	yes	—
430	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
431	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
432	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
433	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
434	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
435	C₂³×C₄×C₇₉	—	4	4	no	—
436	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
437	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
438	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
439	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
440	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
441	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
442	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
443	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
444	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
445	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
446	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
447	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
448	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
449	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
450	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
451	#123×C₇₉	C₂³	1	4	yes	—
452	#123×C₇₉	C₂³	1	4	yes	—
453	#123×C₇₉	C₂³	1	4	yes	—
454	#123×C₇₉	C₂³	1	4	yes	—
455	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
456	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
457	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
458	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
459	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
460	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
461	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
462	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
463	#121×C₇₉	C₂³	1	2	yes	—
464	#121×C₇₉	C₂³	1	2	yes	—
465	#121×C₇₉	C₂³	1	2	yes	—
466	#121×C₇₉	C₂³	1	2	yes	—
467	#121×C₇₉	C₂³	1	2	yes	—
468	#121×C₇₉	C₂³	1	2	yes	—
469	#121×C₇₉	C₂³	1	2	yes	—
470	#121×C₇₉	C₂³	1	2	yes	—
471	#120×C₇₉	C₂³	1	4	yes	—
472	#120×C₇₉	C₂³	1	4	yes	—
473	#120×C₇₉	C₂³	1	4	yes	—
474	#120×C₇₉	C₂³	1	4	yes	—
475	C₄×D₄×C₇₉	C₂³	1	4	yes	—
476	C₄×D₄×C₇₉	C₂³	1	4	yes	—
477	C₄×D₄×C₇₉	C₂³	1	4	yes	—
478	C₄×D₄×C₇₉	C₂³	1	4	yes	—
479	C₄×D₄×C₇₉	C₂³	1	4	yes	—
480	C₄×D₄×C₇₉	C₂³	1	4	yes	—
481	C₄×D₄×C₇₉	C₂³	1	4	yes	—
482	C₄×D₄×C₇₉	C₂³	1	4	yes	—
483	#117×C₇₉	C₂³	1	2	yes	—
484	#117×C₇₉	C₂³	1	2	yes	—
485	#117×C₇₉	C₂³	1	2	yes	—
486	#117×C₇₉	C₂³	1	2	yes	—
487	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
488	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
489	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
490	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
491	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
492	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
493	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
494	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
495	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
496	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
497	C₂³×D₇₉	C₂⁴	1	2	yes	—
498	#11929624	—	2	8	no	—
499	#11929624	—	4	4	no	—
500	#11929624	—	4	4	no	—
501	#11929624	—	4	8	no	—
502	#11929624	—	4	4	no	—
503	#11929623	—	4	16	no	—
504	#11929623	—	4	16	no	—
505	#11929623	—	4	8	no	—
506	C₂×Dic₁₅₈	—	2	8	no	—
507	C₂×Dic₁₅₈	—	4	4	no	—
508	C₂×Dic₁₅₈	—	4	4	no	—
509	C₂×Dic₁₅₈	—	4	4	no	—
510	C₂×Dic₁₅₈	—	4	4	no	—
511	C₂×Dic₁₅₈	—	4	2	no	—
512	C₂×Dic₁₅₈	—	4	8	no	—
513	C₂×Dic₁₅₈	—	4	4	no	—
514	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
515	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
516	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
517	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
518	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
519	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
520	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
521	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
522	Q₈×D₇₉	—	4	8	no	—
523	C₂×D₃₁₆	—	4	2	no	—
524	C₂×D₃₁₆	C₂⁴	1	2	yes	—
525	C₂×D₃₁₆	C₂⁴	1	2	yes	—
526	C₂×C₂²⋊D₇₉	—	2	8	no	—
527	C₂×C₂²⋊D₇₉	—	4	4	no	—
528	C₂×C₂²⋊D₇₉	—	4	4	no	—
529	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
530	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
531	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
532	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
533	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
534	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
535	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
536	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
537	C₂²×Dic₇₉	—	4	4	no	—
538	C₂²×Dic₇₉	—	4	4	no	—
539	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
540	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
541	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
542	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
543	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
544	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
545	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
546	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
547	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
548	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
549	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
550	C₂×C₄×D₇₉	—	4	4	no	—
551	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
552	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
553	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
554	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
555	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
556	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
557	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
558	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
559	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
560	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
561	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
562	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
563	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
564	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
565	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
566	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
567	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
568	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
569	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
570	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
571	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
572	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
573	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
574	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
575	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
576	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
577	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
578	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
579	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
580	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
581	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
582	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
583	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
584	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
585	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
586	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
587	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
588	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
589	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
590	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
591	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
592	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
593	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
594	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
595	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
596	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
597	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
598	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
599	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
600	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
601	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
602	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
603	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
604	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
605	C₄×Dic₇₉	C₂⁴	1	4	yes	—
606	C₄×Dic₇₉	C₂⁴	1	4	yes	—
607	C₄×Dic₇₉	C₂⁴	1	8	yes	—
608	C₄×Dic₇₉	C₂⁴	1	8	yes	—
609	C₄×Dic₇₉	C₂⁴	1	8	yes	—
610	C₄×Dic₇₉	C₂⁴	1	8	yes	—
611	C₂⁴×C₇₉	—	2	4	no	—
612	C₂⁴×C₇₉	—	4	2	no	—
613	C₂⁴×C₇₉	—	4	2	no	—
614	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
615	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
616	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
617	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
618	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
619	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
620	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
621	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
622	#41×C₇₉	—	2	8	no	—
623	#41×C₇₉	—	4	4	no	—
624	#41×C₇₉	—	4	4	no	—
625	#41×C₇₉	—	4	4	no	—
626	C₂×Q₈×C₇₉	—	4	2	no	—
627	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
628	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
629	C₂×D₄×C₇₉	—	2	8	no	—
630	C₂×D₄×C₇₉	—	4	2	no	—
631	C₂×D₄×C₇₉	—	4	4	no	—
632	C₂×D₄×C₇₉	—	4	4	no	—
633	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
634	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
635	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
636	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
637	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
638	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
639	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
640	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
641	C₂²×C₄×C₇₉	—	2	4	no	—
642	C₂²×C₄×C₇₉	—	2	4	no	—
643	C₂²×C₄×C₇₉	—	2	4	no	—
644	C₂²×C₄×C₇₉	—	4	2	no	—
645	C₂²×C₄×C₇₉	—	4	2	no	—
646	C₂²×C₄×C₇₉	—	4	2	no	—
647	C₂²×C₄×C₇₉	—	4	2	no	—
648	C₂²×C₄×C₇₉	—	4	2	no	—
649	C₂²×C₄×C₇₉	—	4	2	no	—
650	C₂²×C₄×C₇₉	—	4	2	no	—
651	C₂²×C₄×C₇₉	—	4	2	no	—
652	C₂²×C₄×C₇₉	—	4	4	no	—
653	C₂²×C₄×C₇₉	—	4	2	no	—
654	C₂²×C₄×C₇₉	—	4	2	no	—
655	C₂²×C₄×C₇₉	—	4	2	no	—
656	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
657	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
658	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
659	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
660	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
661	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
662	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
663	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
664	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
665	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
666	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
667	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
668	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
669	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
670	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
671	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
672	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
673	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
674	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
677	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
678	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
679	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
680	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
681	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
682	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
683	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
684	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
685	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
686	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
687	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
688	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
689	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
690	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
691	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
692	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
693	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
694	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
695	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
696	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
697	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
698	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
699	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
700	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
701	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
702	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
703	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
704	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
705	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
706	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
707	C₄²×C₇₉	C₂⁴	1	4	yes	—
708	C₄²×C₇₉	C₂⁴	1	4	yes	—
709	C₂³×C₇₉	—	2	2	no	—
710	C₂³×C₇₉	—	2	2	no	—
711	C₂³×C₇₉	—	2	2	no	—
712	C₂³×C₇₉	—	2	2	no	—
713	C₂³×C₇₉	—	2	2	no	—
714	C₂³×C₇₉	—	2	2	no	—
715	C₂³×C₇₉	—	2	2	no	—
716	C₂³×C₇₉	—	2	2	no	—
717	C₂³×C₇₉	—	2	2	no	—
718	C₂³×C₇₉	—	2	2	no	—
719	C₂³×C₇₉	—	2	2	no	—
720	C₂³×C₇₉	—	2	2	no	—
721	C₂³×C₇₉	—	2	4	no	—
722	C₂³×C₇₉	—	4	1	no	—
723	C₂³×C₇₉	—	4	1	no	—
724	C₂³×C₇₉	—	4	1	no	—
725	C₂³×C₇₉	—	4	1	no	—
726	C₂³×C₇₉	—	4	1	no	—
727	C₂³×C₇₉	—	4	1	no	—
728	C₂³×C₇₉	—	4	1	no	—
729	C₂³×C₇₉	—	4	1	no	—
730	C₂³×C₇₉	—	4	2	no	—
731	C₂³×C₇₉	—	4	2	no	—
732	C₂³×C₇₉	—	4	16	no	—
733	C₂³×C₇₉	2₋¹⁺⁴	1	4	yes	complemented
734	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
735	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
736	C₂³×C₇₉	C₂⁵	1	4	yes	—
737	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
738	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
739	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
740	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
741	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
742	C₂²×D₇₉	—	2	4	no	—
743	C₂²×D₇₉	—	4	2	no	—
744	C₂²×D₇₉	—	4	2	no	—
745	C₂²×D₇₉	C₂⁵	1	4	yes	—
746	Q₈×C₇₉	—	2	4	no	—
747	Q₈×C₇₉	—	4	2	no	—
748	D₄×C₇₉	—	2	8	no	—
749	D₄×C₇₉	—	2	8	no	—
750	D₄×C₇₉	—	2	8	no	—
751	D₄×C₇₉	—	2	8	no	—
752	D₄×C₇₉	—	2	4	no	—
753	D₄×C₇₉	—	4	4	no	—
754	D₄×C₇₉	—	4	2	no	—
755	D₄×C₇₉	—	4	4	no	—
756	C₂×C₄×C₇₉	—	2	2	no	—
757	C₂×C₄×C₇₉	—	2	2	no	—
758	C₂×C₄×C₇₉	—	2	2	no	—
759	C₂×C₄×C₇₉	—	2	4	no	—
760	C₂×C₄×C₇₉	—	2	2	no	—
761	C₂×C₄×C₇₉	—	2	2	no	—
762	C₂×C₄×C₇₉	—	2	2	no	—
763	C₂×C₄×C₇₉	—	2	2	no	—
764	C₂×C₄×C₇₉	—	2	2	no	—
765	C₂×C₄×C₇₉	—	2	2	no	—
766	C₂×C₄×C₇₉	—	2	8	no	—
767	C₂×C₄×C₇₉	—	2	2	no	—
768	C₂×C₄×C₇₉	—	2	2	no	—
769	C₂×C₄×C₇₉	—	2	2	no	—
770	C₂×C₄×C₇₉	—	2	2	no	—
771	C₂×C₄×C₇₉	—	2	2	no	—
772	C₂×C₄×C₇₉	—	2	2	no	—
773	C₂×C₄×C₇₉	—	4	1	no	—
774	C₂×C₄×C₇₉	—	4	1	no	—
775	C₂×C₄×C₇₉	—	4	1	no	—
776	C₂×C₄×C₇₉	—	4	1	no	—
777	C₂×C₄×C₇₉	—	4	1	no	—
778	C₂×C₄×C₇₉	—	4	1	no	—
779	C₂×C₄×C₇₉	—	4	1	no	—
780	C₂×C₄×C₇₉	—	4	1	no	—
781	C₂×C₄×C₇₉	—	4	1	no	—
782	C₂×C₄×C₇₉	—	4	1	no	—
783	C₂×C₄×C₇₉	—	4	1	no	—
784	C₂×C₄×C₇₉	—	4	1	no	—
785	C₂×C₄×C₇₉	—	4	2	no	—
786	C₂×C₄×C₇₉	—	4	4	no	—
787	C₂×C₄×C₇₉	—	4	2	no	—
788	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
789	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
790	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
791	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
792	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
793	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
794	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
795	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
796	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
797	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
798	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
799	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
800	C₂²⋊D₇₉	—	2	8	no	—
801	C₂²⋊D₇₉	—	2	8	no	—
802	C₂²⋊D₇₉	—	2	8	no	—
803	C₂²⋊D₇₉	—	2	8	no	—
804	C₂²⋊D₇₉	—	4	4	no	—
805	C₂²⋊D₇₉	—	4	4	no	—
806	C₂²⋊D₇₉	—	4	8	no	—
807	C₂²⋊D₇₉	—	4	8	no	—
808	C₂×Dic₇₉	—	2	8	no	—
809	C₂×Dic₇₉	—	2	4	no	—
810	C₂×Dic₇₉	—	2	8	no	—
811	C₂×Dic₇₉	—	4	2	no	—
812	C₂×Dic₇₉	—	4	4	no	—
813	C₂×Dic₇₉	—	4	4	no	—
814	C₂×Dic₇₉	—	4	4	no	—
815	C₂×Dic₇₉	—	4	4	no	—
816	C₂×Dic₇₉	—	4	2	no	—
817	C₂×Dic₇₉	—	4	8	no	—
818	C₂×Dic₇₉	—	4	8	no	—
819	C₂×Dic₇₉	C₂⁵	1	4	yes	—
820	C₂×Dic₇₉	C₂⁵	1	4	yes	—
821	C₂×Dic₇₉	C₂⁵	1	8	yes	—
822	C₂×Dic₇₉	C₂⁵	1	8	yes	—
823	C₂×Dic₇₉	C₂⁵	1	4	yes	—
824	D₃₁₆	—	2	4	no	—
825	D₃₁₆	—	4	2	no	—
826	C₄×D₇₉	—	2	8	no	—
827	C₄×D₇₉	—	4	4	no	—
828	C₄×D₇₉	—	4	8	no	—
829	C₄×D₇₉	—	4	8	no	—
830	Dic₁₅₈	—	2	8	no	—
831	Dic₁₅₈	—	2	8	no	—
832	Dic₁₅₈	—	2	4	no	—
833	Dic₁₅₈	—	4	8	no	—
834	Dic₁₅₈	—	4	4	no	—
835	Dic₁₅₈	—	4	4	no	—
836	Dic₁₅₈	—	4	2	no	—
837	Dic₁₅₈	—	4	8	no	—
838	C₂²×C₇₉	—	2	8	no	—
839	C₂²×C₇₉	—	2	1	no	—
840	C₂²×C₇₉	—	2	1	no	—
841	C₂²×C₇₉	—	2	1	no	—
842	C₂²×C₇₉	—	2	1	no	—
843	C₂²×C₇₉	—	2	1	no	—
844	C₂²×C₇₉	—	2	1	no	—
845	C₂²×C₇₉	—	2	1	no	—
846	C₂²×C₇₉	—	2	1	no	—
847	C₂²×C₇₉	—	2	1	no	—
848	C₂²×C₇₉	—	2	1	no	—
849	C₂²×C₇₉	—	2	1	no	—
850	C₂²×C₇₉	—	2	4	no	—
851	C₂²×C₇₉	—	2	1	no	—
852	C₂²×C₇₉	—	2	4	no	—
853	C₂²×C₇₉	—	2	1	no	—
854	C₂²×C₇₉	—	2	1	no	—
855	C₂²×C₇₉	—	2	1	no	—
856	C₂²×C₇₉	—	2	4	no	—
857	C₂²×C₇₉	—	2	1	no	—
858	C₂²×C₇₉	—	4	4	no	—
859	C₂²×C₇₉	—	4	4	no	—
860	C₂²×C₇₉	—	4	4	no	—
861	C₂²×C₇₉	—	4	4	no	—
862	C₂²×C₇₉	—	4	4	no	—
863	C₂²×C₇₉	—	4	4	no	—
864	C₂²×C₇₉	—	8	4	no	—
865	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
866	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
867	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
868	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
869	C₂²×C₇₉	#585	1	2	yes	—
870	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
871	C₂×D₇₉	—	2	4	no	—
872	C₂×D₇₉	—	2	4	no	—
873	C₂×D₇₉	—	2	4	no	—
874	C₂×D₇₉	—	8	4	no	—
875	C₄×C₇₉	—	2	1	no	—
876	C₄×C₇₉	—	2	1	no	—
877	C₄×C₇₉	—	2	1	no	—
878	C₄×C₇₉	—	2	1	no	—
879	C₄×C₇₉	—	2	1	no	—
880	C₄×C₇₉	—	2	1	no	—
881	C₄×C₇₉	—	2	4	no	—
882	C₄×C₇₉	—	2	4	no	—
883	C₄×C₇₉	—	2	4	no	—
884	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
885	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
886	Dic₇₉	—	2	4	no	—
887	Dic₇₉	—	2	8	no	—
888	Dic₇₉	—	2	4	no	—
889	Dic₇₉	—	2	4	no	—
890	Dic₇₉	—	2	8	no	—
891	#62819	—	79	1	no	maximal, Sylow
892	C₂×C₇₉	—	2	2	no	—
893	C₂×C₇₉	—	2	2	no	—
894	C₂×C₇₉	—	2	2	no	—
895	C₂×C₇₉	—	2	2	no	—
896	C₂×C₇₉	—	2	2	no	—
897	C₂×C₇₉	—	4	1	no	—
898	C₂×C₇₉	—	4	1	no	—
899	C₂×C₇₉	—	4	4	no	—
900	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
901	C₂×C₇₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
902	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
903	D₇₉	—	4	4	no	—
904	#3541	—	79	4	no	—
905	#3541	—	79	4	no	—
906	#3538	—	79	2	no	—
907	#3538	—	79	2	no	—
908	#3536	—	79	2	no	—
909	#3536	—	79	2	no	—
910	#3535	—	79	4	no	—
911	#3535	—	79	4	no	—
912	#3520	—	79	4	no	—
913	#3520	—	79	4	no	—
914	#3505	—	79	2	no	—
915	#3505	—	79	2	no	—
916	#3501	—	79	2	no	—
917	#3501	—	79	2	no	—
918	#3495	—	79	2	no	—
919	#3495	—	79	2	no	—
920	#3492	—	79	4	no	—
921	#3492	—	79	2	no	—
922	#3490	—	79	4	no	—
923	#3489	—	79	2	no	—
924	#3489	—	79	2	no	—
925	#3486	—	79	2	no	—
926	C₂×#525	—	79	1	no	—
927	C₂×#525	D₇₉	1	1	yes	characteristic, complemented
928	C₂²×C₂²⋊Q₈	—	79	1	no	—
929	C₇₉	#62819	1	1	yes	characteristic, complemented, Sylow
930	C₂×2₋¹⁺⁴	—	79	2	no	—
931	C₂²×#41	—	79	1	no	—
932	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
933	C₂³×Q₈	—	79	1	no	—
934	C₂⁴×C₄	C₂×D₇₉	1	1	yes	characteristic
935	#563	—	79	8	no	—
936	#563	—	79	8	no	—
937	#562	—	79	8	no	—
938	#562	—	79	8	no	—
939	#556	—	79	4	no	—
940	#556	—	79	4	no	—
941	#554	—	79	8	no	—
942	#554	—	79	4	no	—
943	#554	—	79	4	no	—
944	#554	—	79	4	no	—
945	#554	—	79	8	no	—
946	#554	—	79	8	no	—
947	#554	—	79	4	no	—
948	#554	—	79	8	no	—
949	#553	—	79	8	no	—
950	#553	—	79	4	no	—
951	#553	—	79	4	no	—
952	#553	—	79	8	no	—
953	#552	—	79	8	no	—
954	#552	—	79	4	no	—
955	#552	—	79	4	no	—
956	#552	—	79	4	no	—
957	#552	—	79	4	no	—
958	#552	—	79	8	no	—
959	#552	—	79	4	no	—
960	#552	—	79	4	no	—
961	#551	—	79	8	no	—
962	#551	—	79	8	no	—
963	#551	—	79	8	no	—
964	#551	—	79	8	no	—
965	#551	—	79	8	no	—
966	#551	—	79	8	no	—
967	D₄×Q₈	—	79	4	no	—
968	D₄×Q₈	—	79	4	no	—
969	D₄×Q₈	—	79	4	no	—
970	D₄×Q₈	—	79	4	no	—
971	D₄×Q₈	—	79	4	no	—
972	D₄×Q₈	—	79	4	no	—
973	#548	—	79	4	no	—
974	#548	—	79	4	no	—
975	#548	—	79	4	no	—
976	#548	—	79	4	no	—
977	#548	—	79	4	no	—
978	#548	—	79	4	no	—
979	#547	—	79	8	no	—
980	#547	—	79	4	no	—
981	#547	—	79	8	no	—
982	#547	—	79	4	no	—
983	#547	—	79	4	no	—
984	#547	—	79	4	no	—
985	#546	—	79	8	no	—
986	#546	—	79	4	no	—
987	#546	—	79	8	no	—
988	#546	—	79	8	no	—
989	#546	—	79	8	no	—
990	#546	—	79	4	no	—
991	#544	—	79	4	no	—
992	#544	—	79	4	no	—
993	#544	—	79	2	no	—
994	#544	—	79	4	no	—
995	#543	—	79	4	no	—
996	#543	—	79	4	no	—
997	#543	—	79	4	no	—
998	#542	—	79	8	no	—
999	#542	—	79	4	no	—
1000	#542	—	79	8	no	—
1001	#542	—	79	4	no	—
1002	#541	—	79	4	no	—
1003	#541	—	79	4	no	—
1004	#539	—	79	8	no	—
1005	#539	—	79	8	no	—
1006	#539	—	79	4	no	—
1007	#539	—	79	4	no	—
1008	#539	—	79	4	no	—
1009	#539	—	79	8	no	—
1010	#539	—	79	8	no	—
1011	#539	—	79	4	no	—
1012	#538	—	79	4	no	—
1013	#538	—	79	8	no	—
1014	#538	—	79	8	no	—
1015	#538	—	79	4	no	—
1016	#537	—	79	2	no	—
1017	#537	—	79	4	no	—
1018	#537	—	79	4	no	—
1019	#537	—	79	4	no	—
1020	#536	—	79	2	no	—
1021	#536	—	79	4	no	—
1022	#536	—	79	8	no	—
1023	#536	—	79	4	no	—
1024	#536	—	79	2	no	—
1025	#534	—	79	4	no	—
1026	#533	—	79	4	no	—
1027	#533	—	79	4	no	—
1028	#529	—	79	4	no	—
1029	#529	—	79	4	no	—
1030	#525	—	79	2	no	—
1031	#525	—	79	2	no	—
1032	#525	—	79	2	no	—
1033	#525	—	79	2	no	—
1034	#525	—	79	2	no	—
1035	#525	—	79	2	no	—
1036	#525	—	79	2	no	—
1037	#525	—	79	2	no	—
1038	#525	—	79	4	no	—
1039	#525	—	79	4	no	—
1040	#525	—	79	8	no	—
1041	#525	—	79	8	no	—
1042	#525	C₂×D₇₉	1	2	yes	—
1043	#525	C₂×D₇₉	1	2	yes	—
1044	#525	C₂×D₇₉	1	2	yes	—
1045	#525	C₂×D₇₉	1	2	yes	—
1046	#525	C₂×D₇₉	1	2	yes	complemented
1047	#525	C₂×D₇₉	1	2	yes	complemented
1048	#525	C₂×D₇₉	1	2	yes	complemented
1049	#525	C₂×D₇₉	1	2	yes	complemented
1050	C₂×#123	—	79	2	no	—
1051	C₂×#123	C₂×D₇₉	1	2	yes	complemented
1052	C₂×C₂²⋊Q₈	—	79	2	no	—
1053	C₂×C₂²⋊Q₈	—	79	2	no	—
1054	C₂×C₂²⋊Q₈	—	79	2	no	—
1055	C₂×C₂²⋊Q₈	—	79	2	no	—
1056	C₂×C₂²⋊Q₈	—	79	2	no	—
1057	C₂×C₂²⋊Q₈	—	79	2	no	—
1058	C₂×C₂²⋊Q₈	—	79	2	no	—
1059	C₂×C₂²⋊Q₈	—	79	2	no	—
1060	C₂×C₂²⋊Q₈	—	79	2	no	—
1061	C₂×C₂²⋊Q₈	—	79	2	no	—
1062	C₂×C₂²⋊Q₈	—	79	2	no	—
1063	C₂×C₂²⋊Q₈	—	79	2	no	—
1064	C₂×C₂²⋊Q₈	—	79	1	no	—
1065	C₂×C₂²⋊Q₈	—	79	1	no	—
1066	C₂×C₂²⋊Q₈	—	79	4	no	—
1067	C₂×C₂²⋊Q₈	—	79	4	no	—
1068	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
1069	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
1070	C₂×#121	—	79	1	no	—
1071	C₂×#121	—	79	1	no	—
1072	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
1073	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
1074	C₂×#120	—	79	2	no	—
1075	C₂×#120	C₂×D₇₉	1	2	yes	—
1076	#520	—	79	2	no	—
1077	#520	—	79	8	no	—
1078	#520	—	79	2	no	—
1079	#519	—	79	2	no	—
1080	#518	—	79	4	no	—
1081	#518	—	79	4	no	—
1082	C₂×C₄×D₄	—	79	2	no	—
1083	C₂×C₄×D₄	—	79	2	no	—
1084	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	—
1085	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
1086	C₂×#117	—	79	1	no	—
1087	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
1088	C₂²×C₄⋊C₄	—	79	2	no	—
1089	C₂²×C₄⋊C₄	—	79	1	no	—
1090	C₂²×C₂²⋊C₄	—	79	2	no	—
1091	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
1092	2₋¹⁺⁴	—	316	8	no	—
1093	C₂×#41	—	4	4	no	—
1094	C₂×#41	—	316	4	no	—
1095	C₂×#41	—	79	8	no	—
1096	C₂×#41	—	79	8	no	—
1097	C₂×#41	—	79	4	no	—
1098	C₂×#41	—	79	2	no	—
1099	C₂×#41	—	79	2	no	—
1100	C₂×#41	—	79	2	no	—
1101	C₂×#41	—	79	4	no	—
1102	C₂×#41	—	79	2	no	—
1103	C₂×#41	C₂²×D₇₉	1	2	yes	—
1104	C₂×#41	C₂²×D₇₉	1	2	yes	—
1105	C₂×#41	C₂²×D₇₉	1	2	yes	—
1106	C₂×#41	C₂²×D₇₉	1	2	yes	—
1107	C₂²×Q₈	—	316	4	no	—
1108	C₂²×Q₈	—	79	4	no	—
1109	C₂²×Q₈	—	79	2	no	—
1110	C₂²×Q₈	—	79	2	no	—
1111	C₂²×Q₈	—	79	2	no	—
1112	C₂²×Q₈	—	79	2	no	—
1113	C₂²×Q₈	—	79	2	no	—
1114	C₂²×Q₈	—	79	1	no	—
1115	C₂²×Q₈	—	79	4	no	—
1116	C₂²×Q₈	—	79	2	no	—
1117	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1118	C₂²×D₄	—	79	2	no	—
1119	C₂²×D₄	—	79	2	no	—
1120	C₂²×D₄	—	79	2	no	—
1121	C₂²×D₄	—	79	1	no	—
1122	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
1123	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
1124	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
1125	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1126	C₂³×C₄	—	4	4	no	—
1127	C₂³×C₄	—	79	2	no	—
1128	C₂³×C₄	—	79	2	no	—
1129	C₂³×C₄	—	79	2	no	—
1130	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1131	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1132	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1133	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1134	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1135	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1136	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1137	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
1138	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1139	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1140	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1141	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1142	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1143	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1144	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1145	C₄⋊Q₈	—	79	4	no	—
1146	C₄⋊Q₈	—	79	8	no	—
1147	C₄⋊Q₈	—	79	4	no	—
1148	C₄⋊Q₈	—	79	8	no	—
1149	C₄⋊Q₈	—	79	8	no	—
1150	C₄⋊Q₈	—	79	8	no	—
1151	C₄⋊Q₈	—	79	4	no	—
1152	C₄⋊Q₈	—	79	4	no	—
1153	#126	—	79	8	no	—
1154	#126	—	79	8	no	—
1155	#126	—	79	8	no	—
1156	#126	—	79	8	no	—
1157	#126	—	79	8	no	—
1158	#126	—	79	8	no	—
1159	#126	—	79	8	no	—
1160	#126	—	79	8	no	—
1161	#126	—	79	8	no	—
1162	#126	—	79	8	no	—
1163	#125	—	79	4	no	—
1164	#125	—	79	8	no	—
1165	#125	—	79	8	no	—
1166	#125	—	79	8	no	—
1167	#125	—	79	8	no	—
1168	#125	—	79	8	no	—
1169	#125	—	79	8	no	—
1170	#125	—	79	8	no	—
1171	#125	—	79	4	no	—
1172	#125	—	79	8	no	—
1173	#124	—	79	4	no	—
1174	#124	—	79	8	no	—
1175	#124	—	79	8	no	—
1176	#124	—	79	8	no	—
1177	#124	—	79	8	no	—
1178	#124	—	79	8	no	—
1179	#124	—	79	8	no	—
1180	#124	—	79	4	no	—
1181	#123	—	79	8	no	—
1182	#123	—	79	8	no	—
1183	#123	—	79	8	no	—
1184	#123	—	79	8	no	—
1185	#123	—	79	8	no	—
1186	#123	—	79	8	no	—
1187	#123	—	79	4	no	—
1188	#123	—	79	4	no	—
1189	#123	—	79	4	no	—
1190	#123	—	79	4	no	—
1191	#123	—	79	8	no	—
1192	#123	—	79	8	no	—
1193	#123	—	79	8	no	—
1194	#123	—	79	8	no	—
1195	#123	—	79	8	no	—
1196	#123	—	79	8	no	—
1197	#123	—	79	8	no	—
1198	#123	—	79	8	no	—
1199	#123	—	79	8	no	—
1200	#123	—	79	8	no	—
1201	#123	C₂²×D₇₉	1	4	yes	—
1202	#123	C₂²×D₇₉	1	4	yes	—
1203	#123	C₂²×D₇₉	1	4	yes	—
1204	#123	C₂²×D₇₉	1	4	yes	—
1205	C₂²⋊Q₈	—	79	4	no	—
1206	C₂²⋊Q₈	—	79	8	no	—
1207	C₂²⋊Q₈	—	79	4	no	—
1208	C₂²⋊Q₈	—	79	4	no	—
1209	C₂²⋊Q₈	—	79	2	no	—
1210	C₂²⋊Q₈	—	79	4	no	—
1211	C₂²⋊Q₈	—	79	4	no	—
1212	C₂²⋊Q₈	—	79	4	no	—
1213	C₂²⋊Q₈	—	79	4	no	—
1214	C₂²⋊Q₈	—	79	4	no	—
1215	C₂²⋊Q₈	—	79	4	no	—
1216	C₂²⋊Q₈	—	79	4	no	—
1217	C₂²⋊Q₈	—	79	4	no	—
1218	C₂²⋊Q₈	—	79	4	no	—
1219	C₂²⋊Q₈	—	79	4	no	—
1220	C₂²⋊Q₈	—	79	4	no	—
1221	C₂²⋊Q₈	—	79	4	no	—
1222	C₂²⋊Q₈	—	79	4	no	—
1223	C₂²⋊Q₈	—	79	4	no	—
1224	C₂²⋊Q₈	—	79	2	no	—
1225	C₂²⋊Q₈	—	79	2	no	—
1226	C₂²⋊Q₈	—	79	2	no	—
1227	C₂²⋊Q₈	—	79	2	no	—
1228	C₂²⋊Q₈	—	79	2	no	—
1229	C₂²⋊Q₈	—	79	2	no	—
1230	C₂²⋊Q₈	—	79	2	no	—
1231	C₂²⋊Q₈	—	79	4	no	—
1232	C₂²⋊Q₈	—	79	4	no	—
1233	C₂²⋊Q₈	—	79	8	no	—
1234	C₂²⋊Q₈	—	79	8	no	—
1235	C₂²⋊Q₈	—	79	4	no	—
1236	C₂²⋊Q₈	—	79	8	no	—
1237	C₂²⋊Q₈	—	79	4	no	—
1238	C₂²⋊Q₈	—	79	8	no	—
1239	C₂²⋊Q₈	—	79	4	no	—
1240	C₂²⋊Q₈	—	79	8	no	—
1241	C₂²⋊Q₈	—	79	8	no	—
1242	C₂²⋊Q₈	—	79	8	no	—
1243	C₂²⋊Q₈	—	79	8	no	—
1244	C₂²⋊Q₈	—	79	8	no	—
1245	C₂²⋊Q₈	—	79	8	no	—
1246	C₂²⋊Q₈	—	79	8	no	—
1247	C₂²⋊Q₈	—	79	8	no	—
1248	C₂²⋊Q₈	—	79	8	no	—
1249	C₂²⋊Q₈	—	79	8	no	—
1250	C₂²⋊Q₈	—	79	8	no	—
1251	C₂²⋊Q₈	—	79	8	no	—
1252	C₂²⋊Q₈	—	79	8	no	—
1253	C₂²⋊Q₈	—	79	8	no	—
1254	C₂²⋊Q₈	—	79	8	no	—
1255	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1256	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1257	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1258	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1259	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1260	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1261	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1262	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1263	#121	—	79	8	no	—
1264	#121	—	79	8	no	—
1265	#121	—	79	4	no	—
1266	#121	—	79	8	no	—
1267	#121	—	79	8	no	—
1268	#121	—	79	8	no	—
1269	#121	—	79	8	no	—
1270	#121	—	79	8	no	—
1271	#121	—	79	8	no	—
1272	#121	—	79	8	no	—
1273	#121	—	79	2	no	—
1274	#121	—	79	2	no	—
1275	#121	—	79	2	no	—
1276	#121	—	79	2	no	—
1277	#121	—	79	2	no	—
1278	#121	—	79	2	no	—
1279	#121	—	79	2	no	—
1280	#121	—	79	2	no	—
1281	#121	—	79	4	no	—
1282	#121	—	79	8	no	—
1283	#121	C₂²×D₇₉	1	2	yes	—
1284	#121	C₂²×D₇₉	1	2	yes	—
1285	#121	C₂²×D₇₉	1	2	yes	—
1286	#121	C₂²×D₇₉	1	2	yes	—
1287	#121	C₂²×D₇₉	1	2	yes	—
1288	#121	C₂²×D₇₉	1	2	yes	—
1289	#121	C₂²×D₇₉	1	2	yes	—
1290	#121	C₂²×D₇₉	1	2	yes	—
1291	#120	—	79	4	no	—
1292	#120	—	79	4	no	—
1293	#120	—	79	4	no	—
1294	#120	—	79	4	no	—
1295	#120	—	79	8	no	—
1296	#120	—	79	8	no	—
1297	#120	C₂²×D₇₉	1	4	yes	—
1298	#120	C₂²×D₇₉	1	4	yes	—
1299	#120	C₂²×D₇₉	1	4	yes	—
1300	#120	C₂²×D₇₉	1	4	yes	—
1301	C₄×Q₈	—	79	4	no	—
1302	C₄×Q₈	—	79	4	no	—
1303	C₄×Q₈	—	79	4	no	—
1304	C₄×Q₈	—	79	8	no	—
1305	C₄×Q₈	—	79	4	no	—
1306	C₄×Q₈	—	79	4	no	—
1307	C₄×Q₈	—	79	4	no	—
1308	C₄×Q₈	—	79	8	no	—
1309	C₄×D₄	—	79	8	no	—
1310	C₄×D₄	—	79	8	no	—
1311	C₄×D₄	—	79	8	no	—
1312	C₄×D₄	—	79	8	no	—
1313	C₄×D₄	—	79	8	no	—
1314	C₄×D₄	—	79	8	no	—
1315	C₄×D₄	—	79	4	no	—
1316	C₄×D₄	—	79	4	no	—
1317	C₄×D₄	—	79	4	no	—
1318	C₄×D₄	—	79	4	no	—
1319	C₄×D₄	—	79	4	no	—
1320	C₄×D₄	—	79	4	no	—
1321	C₄×D₄	—	79	4	no	—
1322	C₄×D₄	—	79	4	no	—
1323	C₄×D₄	—	79	4	no	—
1324	C₄×D₄	—	79	8	no	—
1325	C₄×D₄	—	79	8	no	—
1326	C₄×D₄	—	79	8	no	—
1327	C₄×D₄	—	79	8	no	—
1328	C₄×D₄	—	79	8	no	—
1329	C₄×D₄	—	79	8	no	—
1330	C₄×D₄	—	79	8	no	—
1331	C₄×D₄	—	79	8	no	—
1332	C₄×D₄	—	79	4	no	—
1333	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1334	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1335	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1336	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1337	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1338	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1339	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1340	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1341	#117	—	79	2	no	—
1342	#117	—	79	2	no	—
1343	#117	—	79	2	no	—
1344	#117	—	79	2	no	—
1345	#117	—	79	8	no	—
1346	#117	—	79	4	no	—
1347	#117	—	79	4	no	—
1348	#117	—	79	8	no	—
1349	#117	—	79	8	no	—
1350	#117	—	79	8	no	—
1351	#117	—	79	8	no	—
1352	#117	—	79	8	no	—
1353	#117	C₂²×D₇₉	1	2	yes	—
1354	#117	C₂²×D₇₉	1	2	yes	—
1355	#117	C₂²×D₇₉	1	2	yes	—
1356	#117	C₂²×D₇₉	1	2	yes	—
1357	C₂×C₄⋊C₄	—	79	2	no	—
1358	C₂×C₄⋊C₄	—	79	4	no	—
1359	C₂×C₄⋊C₄	—	79	4	no	—
1360	C₂×C₄⋊C₄	—	79	2	no	—
1361	C₂×C₄⋊C₄	—	79	4	no	—
1362	C₂×C₄⋊C₄	—	79	4	no	—
1363	C₂×C₄⋊C₄	—	79	2	no	—
1364	C₂×C₄⋊C₄	—	79	2	no	—
1365	C₂×C₄⋊C₄	—	79	4	no	—
1366	C₂×C₄⋊C₄	—	79	4	no	—
1367	C₂×C₄⋊C₄	—	79	2	no	—
1368	C₂×C₄⋊C₄	—	79	2	no	—
1369	C₂×C₄⋊C₄	—	79	1	no	—
1370	C₂×C₄⋊C₄	—	79	1	no	—
1371	C₂×C₄⋊C₄	—	79	2	no	—
1372	C₂×C₄⋊C₄	—	79	2	no	—
1373	C₂×C₄⋊C₄	—	79	4	no	—
1374	C₂×C₄⋊C₄	—	79	8	no	—
1375	C₂×C₄⋊C₄	—	79	4	no	—
1376	C₂×C₄⋊C₄	—	79	8	no	—
1377	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1378	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1379	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1380	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1381	C₂×C₂²⋊C₄	—	79	4	no	—
1382	C₂×C₂²⋊C₄	—	79	4	no	—
1383	C₂×C₂²⋊C₄	—	79	4	no	—
1384	C₂×C₂²⋊C₄	—	79	4	no	—
1385	C₂×C₂²⋊C₄	—	79	4	no	—
1386	C₂×C₂²⋊C₄	—	79	4	no	—
1387	C₂×C₂²⋊C₄	—	79	2	no	—
1388	C₂×C₂²⋊C₄	—	79	2	no	—
1389	C₂×C₂²⋊C₄	—	79	2	no	—
1390	C₂×C₂²⋊C₄	—	79	8	no	—
1391	C₂×C₂²⋊C₄	—	79	2	no	—
1392	C₂×C₂²⋊C₄	—	79	2	no	—
1393	C₂×C₂²⋊C₄	—	79	8	no	—
1394	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1395	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1396	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1397	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1398	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1399	C₂×C₄²	—	79	2	no	—
1400	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1401	C₂⁴	—	2	4	no	—
1402	C₂⁴	—	4	2	no	—
1403	C₂⁴	—	4	2	no	—
1404	C₂⁴	—	79	2	no	—
1405	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1406	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1407	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1408	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1409	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1410	C₂⁴	C₂³×D₇₉	1	2	yes	—
1411	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1412	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1413	#41	—	2	8	no	—
1414	#41	—	4	4	no	—
1415	#41	—	4	4	no	—
1416	#41	—	4	4	no	—
1417	#41	—	316	4	no	—
1418	#41	—	316	8	no	—
1419	#41	—	316	4	no	—
1420	#41	—	316	4	no	—
1421	#41	—	316	8	no	—
1422	#41	—	316	16	no	—
1423	#41	—	316	16	no	—
1424	#41	—	158	8	no	—
1425	C₂×Q₈	—	4	2	no	—
1426	C₂×Q₈	—	316	4	no	—
1427	C₂×Q₈	—	316	4	no	—
1428	C₂×Q₈	—	316	4	no	—
1429	C₂×Q₈	—	316	4	no	—
1430	C₂×Q₈	—	316	2	no	—
1431	C₂×Q₈	—	316	8	no	—
1432	C₂×Q₈	—	316	4	no	—
1433	C₂×Q₈	—	316	8	no	—
1434	C₂×Q₈	—	79	8	no	—
1435	C₂×Q₈	—	79	4	no	—
1436	C₂×Q₈	—	79	4	no	—
1437	C₂×Q₈	—	79	2	no	—
1438	C₂×Q₈	—	79	8	no	—
1439	C₂×Q₈	—	79	4	no	—
1440	C₂×Q₈	—	79	4	no	—
1441	C₂×Q₈	—	79	2	no	—
1442	C₂×Q₈	—	158	8	no	—
1443	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1444	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1445	C₂×D₄	—	2	8	no	—
1446	C₂×D₄	—	4	2	no	—
1447	C₂×D₄	—	4	4	no	—
1448	C₂×D₄	—	4	4	no	—
1449	C₂×D₄	—	316	2	no	—
1450	C₂×D₄	—	316	4	no	—
1451	C₂×D₄	—	316	4	no	—
1452	C₂×D₄	—	79	8	no	—
1453	C₂×D₄	—	79	4	no	—
1454	C₂×D₄	—	79	8	no	—
1455	C₂×D₄	—	79	4	no	—
1456	C₂×D₄	—	79	4	no	—
1457	C₂×D₄	—	79	4	no	—
1458	C₂×D₄	—	79	4	no	—
1459	C₂×D₄	—	79	4	no	—
1460	C₂×D₄	—	79	2	no	—
1461	C₂×D₄	—	79	2	no	—
1462	C₂×D₄	—	158	8	no	—
1463	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1464	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1465	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1466	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1467	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1468	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1469	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1470	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1471	C₂²×C₄	—	2	4	no	—
1472	C₂²×C₄	—	2	4	no	—
1473	C₂²×C₄	—	2	4	no	—
1474	C₂²×C₄	—	4	2	no	—
1475	C₂²×C₄	—	4	2	no	—
1476	C₂²×C₄	—	4	2	no	—
1477	C₂²×C₄	—	4	2	no	—
1478	C₂²×C₄	—	4	2	no	—
1479	C₂²×C₄	—	4	2	no	—
1480	C₂²×C₄	—	4	2	no	—
1481	C₂²×C₄	—	4	2	no	—
1482	C₂²×C₄	—	4	4	no	—
1483	C₂²×C₄	—	4	2	no	—
1484	C₂²×C₄	—	4	2	no	—
1485	C₂²×C₄	—	4	2	no	—
1486	C₂²×C₄	—	316	4	no	—
1487	C₂²×C₄	—	316	4	no	—
1488	C₂²×C₄	—	316	4	no	—
1489	C₂²×C₄	—	79	2	no	—
1490	C₂²×C₄	—	79	4	no	—
1491	C₂²×C₄	—	79	4	no	—
1492	C₂²×C₄	—	79	4	no	—
1493	C₂²×C₄	—	79	4	no	—
1494	C₂²×C₄	—	79	2	no	—
1495	C₂²×C₄	—	79	8	no	—
1496	C₂²×C₄	—	79	8	no	—
1497	C₂²×C₄	—	79	8	no	—
1498	C₂²×C₄	—	79	8	no	—
1499	C₂²×C₄	—	79	4	no	—
1500	C₂²×C₄	—	79	2	no	—
1501	C₂²×C₄	—	79	4	no	—
1502	C₂²×C₄	—	79	4	no	—
1503	C₂²×C₄	—	79	4	no	—
1504	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1505	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1506	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1507	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1508	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1509	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1510	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1511	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1515	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1516	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1517	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1518	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1519	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1520	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1521	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1522	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1523	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1524	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1525	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1526	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1527	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1528	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1531	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1532	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1533	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1534	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1537	C₄⋊C₄	—	79	8	no	—
1538	C₄⋊C₄	—	79	8	no	—
1539	C₄⋊C₄	—	79	4	no	—
1540	C₄⋊C₄	—	79	8	no	—
1541	C₄⋊C₄	—	79	8	no	—
1542	C₄⋊C₄	—	79	8	no	—
1543	C₄⋊C₄	—	79	4	no	—
1544	C₄⋊C₄	—	79	4	no	—
1545	C₄⋊C₄	—	79	4	no	—
1546	C₄⋊C₄	—	79	8	no	—
1547	C₄⋊C₄	—	79	8	no	—
1548	C₄⋊C₄	—	79	8	no	—
1549	C₄⋊C₄	—	79	8	no	—
1550	C₄⋊C₄	—	79	8	no	—
1551	C₄⋊C₄	—	79	8	no	—
1552	C₄⋊C₄	—	79	8	no	—
1553	C₄⋊C₄	—	79	4	no	—
1554	C₄⋊C₄	—	79	4	no	—
1555	C₄⋊C₄	—	79	2	no	—
1556	C₄⋊C₄	—	79	4	no	—
1557	C₄⋊C₄	—	79	4	no	—
1558	C₄⋊C₄	—	79	2	no	—
1559	C₄⋊C₄	—	79	2	no	—
1560	C₄⋊C₄	—	79	2	no	—
1561	C₄⋊C₄	—	79	8	no	—
1562	C₄⋊C₄	—	79	8	no	—
1563	C₄⋊C₄	—	79	8	no	—
1564	C₄⋊C₄	—	79	8	no	—
1565	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1566	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1567	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1568	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1569	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1570	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1571	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1572	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1573	C₂²⋊C₄	—	79	8	no	—
1574	C₂²⋊C₄	—	79	8	no	—
1575	C₂²⋊C₄	—	79	4	no	—
1576	C₂²⋊C₄	—	79	8	no	—
1577	C₂²⋊C₄	—	79	8	no	—
1578	C₂²⋊C₄	—	79	4	no	—
1579	C₂²⋊C₄	—	79	4	no	—
1580	C₂²⋊C₄	—	79	4	no	—
1581	C₂²⋊C₄	—	79	4	no	—
1582	C₂²⋊C₄	—	79	4	no	—
1583	C₂²⋊C₄	—	79	8	no	—
1584	C₂²⋊C₄	—	79	8	no	—
1585	C₂²⋊C₄	—	79	8	no	—
1586	C₂²⋊C₄	—	79	8	no	—
1587	C₂²⋊C₄	—	79	4	no	—
1588	C₂²⋊C₄	—	79	4	no	—
1589	C₂²⋊C₄	—	79	8	no	—
1590	C₂²⋊C₄	—	79	8	no	—
1591	C₂²⋊C₄	—	79	4	no	—
1592	C₂²⋊C₄	—	79	4	no	—
1593	C₂²⋊C₄	—	79	8	no	—
1594	C₂²⋊C₄	—	79	8	no	—
1595	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1596	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1597	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1598	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1599	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1600	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1601	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1602	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1603	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1604	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1605	C₄²	—	79	4	no	—
1606	C₄²	—	79	4	no	—
1607	C₄²	—	79	8	no	—
1608	C₄²	—	79	8	no	—
1609	C₄²	—	79	8	no	—
1610	C₄²	—	79	8	no	—
1611	C₄²	C₂³×D₇₉	1	4	yes	—
1612	C₄²	C₂³×D₇₉	1	4	yes	—
1613	C₂³	—	2	2	no	—
1614	C₂³	—	2	2	no	—
1615	C₂³	—	2	2	no	—
1616	C₂³	—	2	2	no	—
1617	C₂³	—	2	2	no	—
1618	C₂³	—	2	2	no	—
1619	C₂³	—	2	2	no	—
1620	C₂³	—	2	2	no	—
1621	C₂³	—	2	2	no	—
1622	C₂³	—	2	2	no	—
1623	C₂³	—	2	2	no	—
1624	C₂³	—	2	2	no	—
1625	C₂³	—	2	4	no	—
1626	C₂³	—	4	1	no	—
1627	C₂³	—	4	1	no	—
1628	C₂³	—	4	1	no	—
1629	C₂³	—	4	1	no	—
1630	C₂³	—	4	1	no	—
1631	C₂³	—	4	1	no	—
1632	C₂³	—	4	1	no	—
1633	C₂³	—	4	1	no	—
1634	C₂³	—	4	2	no	—
1635	C₂³	—	4	2	no	—
1636	C₂³	—	4	16	no	—
1637	C₂³	—	316	2	no	—
1638	C₂³	—	316	2	no	—
1639	C₂³	—	79	4	no	—
1640	C₂³	—	158	4	no	—
1641	C₂³	#14579208	1	4	yes	complemented
1642	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1643	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1644	C₂³	C₂⁴×D₇₉	1	4	yes	—
1645	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1646	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1647	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1648	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1649	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1650	Q₈	—	2	4	no	—
1651	Q₈	—	4	2	no	—
1652	Q₈	—	316	4	no	—
1653	Q₈	—	316	4	no	—
1654	Q₈	—	316	8	no	—
1655	Q₈	—	316	2	no	—
1656	Q₈	—	316	8	no	—
1657	Q₈	—	158	8	no	—
1658	Q₈	—	158	8	no	—
1659	Q₈	—	158	4	no	—
1660	D₄	—	2	8	no	—
1661	D₄	—	2	8	no	—
1662	D₄	—	2	8	no	—
1663	D₄	—	2	8	no	—
1664	D₄	—	2	4	no	—
1665	D₄	—	4	4	no	—
1666	D₄	—	4	2	no	—
1667	D₄	—	4	4	no	—
1668	D₄	—	316	2	no	—
1669	D₄	—	316	4	no	—
1670	D₄	—	316	4	no	—
1671	D₄	—	316	8	no	—
1672	D₄	—	316	8	no	—
1673	D₄	—	158	8	no	—
1674	D₄	—	158	8	no	—
1675	D₄	—	158	8	no	—
1676	D₄	—	158	8	no	—
1677	D₄	—	158	4	no	—
1678	C₂×C₄	—	2	2	no	—
1679	C₂×C₄	—	2	2	no	—
1680	C₂×C₄	—	2	2	no	—
1681	C₂×C₄	—	2	4	no	—
1682	C₂×C₄	—	2	2	no	—
1683	C₂×C₄	—	2	2	no	—
1684	C₂×C₄	—	2	2	no	—
1685	C₂×C₄	—	2	2	no	—
1686	C₂×C₄	—	2	2	no	—
1687	C₂×C₄	—	2	2	no	—
1688	C₂×C₄	—	2	2	no	—
1689	C₂×C₄	—	2	2	no	—
1690	C₂×C₄	—	2	2	no	—
1691	C₂×C₄	—	2	2	no	—
1692	C₂×C₄	—	2	2	no	—
1693	C₂×C₄	—	2	2	no	—
1694	C₂×C₄	—	2	8	no	—
1695	C₂×C₄	—	4	1	no	—
1696	C₂×C₄	—	4	1	no	—
1697	C₂×C₄	—	4	1	no	—
1698	C₂×C₄	—	4	1	no	—
1699	C₂×C₄	—	4	1	no	—
1700	C₂×C₄	—	4	1	no	—
1701	C₂×C₄	—	4	1	no	—
1702	C₂×C₄	—	4	1	no	—
1703	C₂×C₄	—	4	1	no	—
1704	C₂×C₄	—	4	1	no	—
1705	C₂×C₄	—	4	1	no	—
1706	C₂×C₄	—	4	1	no	—
1707	C₂×C₄	—	4	2	no	—
1708	C₂×C₄	—	4	4	no	—
1709	C₂×C₄	—	4	2	no	—
1710	C₂×C₄	—	316	4	no	—
1711	C₂×C₄	—	316	8	no	—
1712	C₂×C₄	—	316	8	no	—
1713	C₂×C₄	—	316	2	no	—
1714	C₂×C₄	—	316	4	no	—
1715	C₂×C₄	—	316	4	no	—
1716	C₂×C₄	—	316	4	no	—
1717	C₂×C₄	—	316	4	no	—
1718	C₂×C₄	—	316	2	no	—
1719	C₂×C₄	—	316	8	no	—
1720	C₂×C₄	—	316	8	no	—
1721	C₂×C₄	—	79	4	no	—
1722	C₂×C₄	—	79	4	no	—
1723	C₂×C₄	—	79	8	no	—
1724	C₂×C₄	—	79	8	no	—
1725	C₂×C₄	—	79	4	no	—
1726	C₂×C₄	—	158	8	no	—
1727	C₂×C₄	—	158	4	no	—
1728	C₂×C₄	—	158	8	no	—
1729	C₂×C₄	—	158	8	no	—
1730	C₂×C₄	#14579206	1	4	yes	—
1731	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1732	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1733	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1734	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1735	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1736	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1737	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1738	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1739	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1740	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1741	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1742	C₂²	—	2	8	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	4	no	—
1756	C₂²	—	2	4	no	—
1757	C₂²	—	2	1	no	—
1758	C₂²	—	2	1	no	—
1759	C₂²	—	2	4	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	1	no	—
1762	C₂²	—	4	4	no	—
1763	C₂²	—	4	4	no	—
1764	C₂²	—	4	4	no	—
1765	C₂²	—	4	4	no	—
1766	C₂²	—	4	4	no	—
1767	C₂²	—	4	4	no	—
1768	C₂²	—	8	4	no	—
1769	C₂²	—	632	4	no	—
1770	C₂²	—	158	4	no	—
1771	C₂²	—	158	4	no	—
1772	C₂²	—	158	4	no	—
1773	C₂²	C₂×#14579206	1	2	yes	—
1774	C₂²	C₂×#14579208	1	2	yes	—
1775	C₂²	C₂×#14579208	1	2	yes	—
1776	C₂²	C₂×#14579208	1	2	yes	—
1777	C₂²	#19099399	1	2	yes	—
1778	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	2	1	no	—
1782	C₄	—	2	1	no	—
1783	C₄	—	2	1	no	—
1784	C₄	—	2	1	no	—
1785	C₄	—	2	4	no	—
1786	C₄	—	2	4	no	—
1787	C₄	—	2	4	no	—
1788	C₄	—	158	4	no	—
1789	C₄	—	158	8	no	—
1790	C₄	—	158	4	no	—
1791	C₄	—	158	8	no	—
1792	C₄	—	158	4	no	—
1793	C₄	C₂×#14579206	1	2	yes	—
1794	C₄	C₂×#14579206	1	2	yes	—
1795	C₂	—	2	2	no	—
1796	C₂	—	2	2	no	—
1797	C₂	—	2	2	no	—
1798	C₂	—	2	2	no	—
1799	C₂	—	2	2	no	—
1800	C₂	—	4	1	no	—
1801	C₂	—	4	1	no	—
1802	C₂	—	4	4	no	—
1803	C₂	—	316	4	no	—
1804	C₂	C₂²×#14579206	1	1	yes	characteristic
1805	C₂	C₂²×#14579208	1	1	yes	characteristic
1806	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₂×#525×C₇₉	C₂
hypercenter	C₂×#525	D₇₉
hypocenter	C₇₉	#62819
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #23777693	C₂	semidirect
2. #23777685	C₂	semidirect
3. #23777649	C₂	semidirect
4. #23777645	C₂	semidirect
5. #23777627	C₂	semidirect
6. #23777622	C₂	semidirect
7. #23777613	C₂	semidirect
8. #23777603	C₂	semidirect
9. #23777449	C₂	semidirect
10. #23777437	C₂	semidirect
11. #23777239	C₂	semidirect
12. #23777234	C₂	semidirect
13. #23777203	C₂	semidirect
14. #23777196	C₂	semidirect
15. #23777154	C₂	semidirect
16. #23777152	C₂	semidirect
17. #23777106	C₂	semidirect
18. #23777101	C₂	semidirect
19. #23777087	C₂	semidirect
20. #23777080	C₂	semidirect
21. #23777072	C₂	semidirect
22. #23777047	C₂	semidirect
23. C₂×#19099074	C₂	semidirect
24. C₂²×#14579140	C₂	semidirect
25. C₂×#525×C₇₉	C₂	semidirect
26. C₂×#14579208	C₂²	semidirect
27. C₂²×#11929624	C₂²	semidirect
28. C₂³×Dic₁₅₈	C₂²	semidirect
29. #19099316	C₂²	semidirect
30. #19099314	C₂²	semidirect
31. #19099310	C₂²	semidirect
32. #19099308	C₂²	semidirect
33. #19099283	C₂²	semidirect
34. #19099281	C₂²	semidirect
35. #19099272	C₂²	semidirect
36. #19099272	C₂²	semidirect
37. #19099271	C₂²	semidirect
38. #19099270	C₂²	semidirect
39. #19099270	C₂²	semidirect
40. #19099268	C₂²	semidirect
41. #19099268	C₂²	semidirect
42. #19099267	C₂²	semidirect
43. #19099265	C₂²	semidirect
44. #19099262	C₂²	semidirect
45. #19099259	C₂²	semidirect
46. #19099256	C₂²	semidirect
47. #19099255	C₂²	semidirect
48. #19099253	C₂²	semidirect
49. #19099253	C₂²	semidirect
50. #19099253	C₂²	semidirect
51. #19099252	C₂²	semidirect
52. #19099250	C₂²	semidirect
53. #19099248	C₂²	semidirect
54. #19099246	C₂²	semidirect
55. #19099244	C₂²	semidirect
56. #19099244	C₂²	semidirect
57. #19099242	C₂²	semidirect
58. #19099239	C₂²	semidirect
59. #19099239	C₂²	semidirect
60. #19099239	C₂²	semidirect
61. D₄×Dic₁₅₈	C₂²	semidirect
62. D₄×Dic₁₅₈	C₂²	semidirect
63. D₄×Dic₁₅₈	C₂²	semidirect
64. Q₈×C₂²⋊D₇₉	C₂²	semidirect
65. #19099226	C₂²	semidirect
66. #19099226	C₂²	semidirect
67. #19099222	C₂²	semidirect
68. #19099222	C₂²	semidirect
69. #19099222	C₂²	semidirect
70. #19099220	C₂²	semidirect
71. #19099219	C₂²	semidirect
72. #19099219	C₂²	semidirect
73. #19099218	C₂²	semidirect
74. #19099217	C₂²	semidirect
75. #19099213	C₂²	semidirect
76. #19099212	C₂²	semidirect
77. #19099212	C₂²	semidirect
78. #19099211	C₂²	semidirect
79. #19099209	C₂²	semidirect
80. #19099207	C₂²	semidirect
81. #19099207	C₂²	semidirect
82. #19099207	C₂²	semidirect
83. #19099200	C₂²	semidirect
84. #19099200	C₂²	semidirect
85. #19099194	C₂²	semidirect
86. #19099192	C₂²	semidirect
87. #19099192	C₂²	semidirect
88. #19099191	C₂²	semidirect
90. #19099189	C₂²	semidirect
91. #19099188	C₂²	semidirect
92. #19099184	C₂²	semidirect
93. #19099181	C₂²	semidirect
94. #19099180	C₂²	semidirect
95. #19099178	C₂²	semidirect
96. #19099175	C₂²	semidirect
97. #19099173	C₂²	semidirect
98. #19099162	C₂²	semidirect
99. #19099160	C₂²	semidirect
100. #19099158	C₂²	semidirect
101. #19099158	C₂²	semidirect
102. #19099157	C₂²	semidirect
103. #19099156	C₂²	semidirect
104. #19099155	C₂²	semidirect
105. #19099155	C₂²	semidirect
106. #19099151	C₂²	semidirect
107. #19099150	C₂²	semidirect
108. #19099148	C₂²	semidirect
109. #19099148	C₂²	semidirect
110. #19099142	C₂²	semidirect
111. #19099141	C₂²	semidirect
112. #19099141	C₂²	semidirect
113. #19099140	C₂²	semidirect
114. #19099139	C₂²	semidirect
115. #19099136	C₂²	semidirect
116. #19099135	C₂²	semidirect
117. #19099134	C₂²	semidirect
118. #19099134	C₂²	semidirect
120. #19099120	C₂²	semidirect
121. #19099115	C₂²	semidirect
122. #19099097	C₂²	semidirect
123. #19099094	C₂²	semidirect
128. #19099074	C₂²	semidirect
129. #19099074	C₂²	semidirect
130. #19099074	C₂²	semidirect
131. #19099074	C₂²	semidirect
132. #19099074	C₂²	semidirect
133. #19099073	C₂²	semidirect
134. #19099069	C₂²	semidirect
135. #19099069	C₂²	semidirect
136. C₂×#14579144	C₂²	semidirect
140. C₂×#14579140	C₂²	semidirect
141. C₂×#14579140	C₂²	semidirect
142. C₂×#14579140	C₂²	semidirect
143. C₂×#14579140	C₂²	semidirect
144. C₂×#14579140	C₂²	semidirect
145. C₂×#14579140	C₂²	semidirect
146. C₂×#14579140	C₂²	semidirect
147. C₂×#14579140	C₂²	semidirect
148. C₂×#14579140	C₂²	semidirect
149. C₂×#14579140	C₂²	semidirect
150. C₂×#14579140	C₂²	semidirect
151. C₂×#14579140	C₂²	semidirect
152. C₂²⋊Q₈×D₇₉	C₂²	semidirect
154. C₂×#14579135	C₂²	semidirect
156. #19099046	C₂²	semidirect
157. #19099043	C₂²	semidirect
158. #19099042	C₂²	semidirect
159. #19099040	C₂²	semidirect
163. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
164. C₂×#14579120	C₂²	semidirect
165. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
166. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
168. C₂²×#41×C₇₉	C₂²	semidirect
174. #525×C₇₉	C₂²	semidirect
175. #525×C₇₉	C₂²	semidirect
176. #525×C₇₉	C₂²	semidirect
177. #525×C₇₉	C₂²	semidirect
178. C₂×#123×C₇₉	C₂²	semidirect
180. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
182. C₂×#121×C₇₉	C₂²	semidirect
185. C₂×C₄×D₄×C₇₉	C₂²	semidirect
186. C₂×#117×C₇₉	C₂²	semidirect
193. C₂×#11929624	C₂³	semidirect
196. C₂×#11929623	C₂³	semidirect
205. C₂²×Dic₁₅₈	C₂³	semidirect
206. C₂×Q₈×D₇₉	C₂³	semidirect
214. #14579161	C₂³	semidirect
215. #14579161	C₂³	semidirect
216. #14579160	C₂³	semidirect
217. #14579160	C₂³	semidirect
218. #14579160	C₂³	semidirect
219. #14579160	C₂³	semidirect
220. #14579159	C₂³	semidirect
221. #14579159	C₂³	semidirect
222. #14579156	C₂³	semidirect
223. #14579156	C₂³	semidirect
224. #14579155	C₂³	semidirect
229. #14579154	C₂³	semidirect
230. #14579154	C₂³	semidirect
231. #14579154	C₂³	semidirect
232. #14579153	C₂³	semidirect
233. #14579153	C₂³	semidirect
234. #14579152	C₂³	semidirect
235. #14579152	C₂³	semidirect
236. #14579152	C₂³	semidirect
237. #14579151	C₂³	semidirect
238. #14579151	C₂³	semidirect
239. #14579151	C₂³	semidirect
240. #14579151	C₂³	semidirect
241. #14579151	C₂³	semidirect
242. #14579149	C₂³	semidirect
245. #14579148	C₂³	semidirect
248. #14579147	C₂³	semidirect
249. #14579147	C₂³	semidirect
250. #14579146	C₂³	semidirect
253. #14579145	C₂³	semidirect
259. #14579144	C₂³	semidirect
262. #14579143	C₂³	semidirect
263. #14579143	C₂³	semidirect
269. #14579142	C₂³	semidirect
270. #14579141	C₂³	semidirect
271. #14579141	C₂³	semidirect
272. #14579141	C₂³	semidirect
299. #14579140	C₂³	semidirect
300. #14579140	C₂³	semidirect
301. #14579140	C₂³	semidirect
302. #14579140	C₂³	semidirect
303. #14579139	C₂³	semidirect
304. #14579139	C₂³	semidirect
305. #14579139	C₂³	semidirect
306. #14579139	C₂³	semidirect
313. #14579138	C₂³	semidirect
314. #14579138	C₂³	semidirect
315. #14579138	C₂³	semidirect
316. #14579138	C₂³	semidirect
317. #14579138	C₂³	semidirect
318. #14579137	C₂³	semidirect
319. #14579137	C₂³	semidirect
328. #14579135	C₂³	semidirect
329. #14579134	C₂³	semidirect
336. #14579133	C₂³	semidirect
339. #14579132	C₂³	semidirect
346. Q₈×Dic₇₉	C₂³	semidirect
347. C₄×Dic₁₅₈	C₂³	semidirect
348. C₄×Dic₁₅₈	C₂³	semidirect
349. C₄×Dic₁₅₈	C₂³	semidirect
350. C₄×Dic₁₅₈	C₂³	semidirect
351. #14579126	C₂³	semidirect
352. #14579126	C₂³	semidirect
353. #14579126	C₂³	semidirect
354. C₄×D₃₁₆	C₂³	semidirect
361. D₄×Dic₇₉	C₂³	semidirect
372. C₄×C₂²⋊D₇₉	C₂³	semidirect
377. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
383. #14579120	C₂³	semidirect
384. #14579119	C₂³	semidirect
385. #14579118	C₂³	semidirect
389. #14579117	C₂³	semidirect
398. C₂×C₄⋊Dic₇₉	C₂³	semidirect
407. C₂×Dic₇₉⋊C₄	C₂³	semidirect
408. C₄⋊C₄×D₇₉	C₂³	semidirect
409. C₄⋊C₄×D₇₉	C₂³	semidirect
733. C₂³×C₇₉	2₋¹⁺⁴	semidirect
927. C₂×#525	D₇₉	semidirect
929. C₇₉	#62819	semidirect
932. C₂²×#41	C₂×D₇₉	semidirect
1046. #525	C₂×D₇₉	semidirect
1047. #525	C₂×D₇₉	semidirect
1048. #525	C₂×D₇₉	semidirect
1049. #525	C₂×D₇₉	semidirect
1051. C₂×#123	C₂×D₇₉	semidirect
1069. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
1073. C₂×#121	C₂×D₇₉	semidirect
1085. C₂×C₄×D₄	C₂×D₇₉	semidirect
1087. C₂×#117	C₂×D₇₉	semidirect
1641. C₂³	#14579208	semidirect

Maximal subgroups

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

subgroup	index
#23777693	2
#23777685	2
#23777649	2
#23777645	2
#23777627	2
#23777622	2
#23777613	2
#23777603	2
#23777449	2
#23777437	2
#23777239	2
#23777234	2
#23777203	2
#23777196	2
#23777154	2
#23777152	2
#23777106	2
#23777101	2
#23777087	2
#23777080	2
#23777072	2
#23777047	2
C₂×#19099074	2
C₂²×#14579140	2
C₂×#525×C₇₉	2
#62819	79