Subgroups — #35196806

Order 20224.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099398	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#23777074	C₂	1	8	yes	maximal, complemented
4	#23777063	C₂	1	8	yes	maximal, complemented
5	#23777054	C₂	1	2	yes	maximal, complemented
6	#23777049	C₂	1	2	yes	maximal, complemented
7	#23777044	C₂	1	1	yes	maximal, characteristic, complemented
8	#23777038	C₂	1	4	yes	maximal, complemented
9	#23777036	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777032	C₂	1	4	yes	maximal, complemented
11	#23777031	C₂	1	1	yes	maximal, characteristic, complemented
12	#23776887	C₂	1	8	yes	maximal, complemented
13	#23776884	C₂	1	8	yes	maximal, complemented
14	#23776732	C₂	1	2	yes	maximal, complemented
15	#23776726	C₂	1	4	yes	maximal, complemented
16	C₂×#19099071	C₂	1	4	yes	maximal, complemented
17	#525×D₇₉	C₂	1	2	yes	maximal, complemented
18	#23776598	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#3485	C₂	1	1	yes	maximal, characteristic, complemented
20	#19099398	—	2	16	no	—
21	C₂×#14579208	C₂²	1	2	yes	complemented
22	C₂×#14579208	C₂²	1	4	yes	complemented
23	C₂×#14579206	C₂²	1	4	yes	complemented
24	C₂×#14579206	C₂²	1	4	yes	complemented
25	C₂×#14579206	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11929625	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#11929624	C₂²	1	2	yes	complemented
28	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#11929623	C₂²	1	1	yes	characteristic
30	C₂²×#11929623	C₂²	1	2	yes	complemented
31	C₂²×#11929623	C₂²	1	4	yes	complemented
32	C₂²×#11929623	C₂²	1	4	yes	complemented
33	C₂×#41×D₇₉	—	2	16	no	—
34	C₂×#41×D₇₉	C₂²	1	8	yes	complemented
35	C₂×#41×D₇₉	C₂²	1	8	yes	complemented
36	C₂×#41×D₇₉	C₂²	1	2	yes	complemented
37	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
38	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
41	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
42	C₂³×C₄×D₇₉	C₂²	1	2	yes	complemented
43	#19099234	C₂²	1	8	yes	complemented
44	#19099231	C₂²	1	8	yes	complemented
45	#19099228	C₂²	1	8	yes	complemented
46	#19099226	C₂²	1	8	yes	complemented
47	#19099223	C₂²	1	8	yes	complemented
48	#19099223	C₂²	1	8	yes	complemented
49	#19099222	C₂²	1	8	yes	complemented
50	#19099221	C₂²	1	8	yes	complemented
51	#19099214	C₂²	1	16	yes	complemented
52	#19099212	C₂²	1	8	yes	complemented
53	#19099211	C₂²	1	16	yes	complemented
54	#19099208	C₂²	1	8	yes	complemented
55	#19099205	C₂²	1	16	yes	complemented
56	#19099205	C₂²	1	16	yes	complemented
57	#19099203	C₂²	1	16	yes	complemented
58	#19099202	C₂²	1	16	yes	complemented
59	#19099201	C₂²	1	8	yes	complemented
60	#19099201	C₂²	1	8	yes	complemented
61	D₄×D₃₁₆	C₂²	1	8	yes	complemented
62	#19099197	C₂²	1	16	yes	complemented
63	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
64	#19099195	C₂²	1	16	yes	complemented
65	#19099143	C₂²	1	8	yes	complemented
66	#19099140	C₂²	1	16	yes	complemented
67	#19099138	C₂²	1	4	yes	complemented
68	#19099137	C₂²	1	2	yes	complemented
69	#19099135	C₂²	1	8	yes	complemented
70	#19099135	C₂²	1	8	yes	complemented
71	#19099132	C₂²	1	2	yes	complemented
72	#19099131	C₂²	1	4	yes	complemented
73	#19099128	C₂²	1	8	yes	complemented
74	#19099128	C₂²	1	8	yes	complemented
75	#19099127	C₂²	1	2	yes	complemented
76	#19099125	C₂²	1	4	yes	complemented
77	#19099124	C₂²	1	8	yes	complemented
78	#19099122	C₂²	1	4	yes	complemented
79	#19099122	C₂²	1	4	yes	complemented
80	#19099114	C₂²	1	4	yes	complemented
81	#19099112	C₂²	1	4	yes	complemented
82	#19099108	C₂²	1	16	yes	complemented
83	#19099076	C₂²	1	8	yes	complemented
84	#19099076	C₂²	1	4	yes	complemented
85	#19099075	C₂²	1	2	yes	complemented
86	#19099074	C₂²	1	2	yes	complemented
87	#19099073	C₂²	1	4	yes	complemented
88	#19099072	C₂²	1	8	yes	complemented
89	#19099071	C₂²	1	8	yes	complemented
90	#19099071	C₂²	1	4	yes	complemented
91	#19099071	C₂²	1	8	yes	complemented
92	#19099071	C₂²	1	8	yes	complemented
93	#19099071	C₂²	1	8	yes	complemented
94	#19099071	C₂²	1	16	yes	complemented
95	#19099071	C₂²	1	16	yes	complemented
96	#19099070	C₂²	1	2	yes	complemented
97	#19099069	C₂²	1	4	yes	complemented
98	#19099069	C₂²	1	8	yes	complemented
99	C₂×#14579144	C₂²	1	4	yes	complemented
100	#123×D₇₉	C₂²	1	4	yes	complemented
101	C₂×#14579139	C₂²	1	8	yes	complemented
102	C₂²⋊Q₈×D₇₉	C₂²	1	4	yes	complemented
103	C₂×#14579134	C₂²	1	8	yes	complemented
104	#121×D₇₉	C₂²	1	4	yes	complemented
105	C₂×#14579131	C₂²	1	4	yes	complemented
106	C₂×#14579129	C₂²	1	4	yes	complemented
107	#120×D₇₉	C₂²	1	4	yes	complemented
108	#19099042	C₂²	1	8	yes	complemented
109	#19099040	C₂²	1	2	yes	complemented
110	#19099038	C₂²	1	1	yes	characteristic, complemented
111	#19099036	C₂²	1	4	yes	complemented
112	C₄×#11929623	C₂²	1	8	yes	complemented
113	C₂×#14579123	C₂²	1	8	yes	complemented
114	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	8	yes	complemented
115	C₄×D₄×D₇₉	C₂²	1	8	yes	complemented
116	C₂×#14579117	C₂²	1	4	yes	complemented
117	#117×D₇₉	C₂²	1	2	yes	complemented
118	C₂×H(5,𝔽₂)×C₇₉	C₂²	1	1	yes	characteristic, complemented
119	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
120	#547×C₇₉	C₂²	1	8	yes	complemented
121	#546×C₇₉	C₂²	1	8	yes	complemented
122	#536×C₇₉	C₂²	1	2	yes	complemented
123	#534×C₇₉	C₂²	1	4	yes	complemented
124	#525×C₇₉	C₂²	1	2	yes	complemented
125	C₂×#123×C₇₉	C₂²	1	4	yes	complemented
126	#518×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
128	C₂⁴×D₇₉	C₂³	1	2	yes	—
129	#14579208	—	2	32	no	—
130	#14579208	—	2	16	no	—
131	#14579206	—	2	8	no	—
132	#14579206	—	2	32	no	—
133	#14579206	—	2	32	no	—
134	C₂×#11929625	—	2	8	no	—
135	C₂×#11929625	C₂³	1	4	yes	—
136	C₂×#11929625	C₂³	1	4	yes	—
137	C₂×#11929625	C₂³	1	2	yes	complemented
138	C₂×#11929624	—	2	8	no	—
139	C₂×#11929624	—	2	16	no	—
140	C₂×#11929624	C₂³	1	2	yes	—
141	C₂×#11929624	C₂³	1	16	yes	—
142	C₂×#11929624	C₂³	1	8	yes	—
143	C₂×#11929624	C₂³	1	4	yes	complemented
144	C₂×#11929624	C₂³	1	8	yes	complemented
145	C₂×#11929624	C₂³	1	4	yes	complemented
146	C₂×#11929623	—	2	32	no	—
147	C₂×#11929623	—	2	32	no	—
148	C₂×#11929623	—	2	16	no	—
149	C₂×#11929623	D₄	1	16	yes	complemented
150	C₂×#11929623	C₂³	1	8	yes	—
151	C₂×#11929623	C₂³	1	8	yes	—
152	C₂×#11929623	C₂³	1	4	yes	—
153	C₂×#11929623	C₂³	1	8	yes	—
154	C₂×#11929623	C₂³	1	4	yes	—
155	C₂×#11929623	C₂³	1	4	yes	—
156	C₂×#11929623	C₂³	1	8	yes	complemented
157	C₂×#11929623	C₂³	1	8	yes	complemented
158	C₂×#11929623	C₂³	1	4	yes	complemented
159	C₂×#11929623	C₂³	1	4	yes	complemented
160	C₂×#11929623	C₂³	1	8	yes	complemented
161	C₂×#11929623	C₂³	1	2	yes	complemented
162	#41×D₇₉	—	2	32	no	—
163	#41×D₇₉	—	2	64	no	—
164	#41×D₇₉	—	2	64	no	—
165	#41×D₇₉	—	2	16	no	—
166	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
167	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
168	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
169	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
170	C₂×Q₈×D₇₉	—	2	8	no	—
171	C₂×Q₈×D₇₉	C₂³	1	8	yes	—
172	C₂×Q₈×D₇₉	C₂³	1	2	yes	complemented
173	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
174	C₂²×D₃₁₆	C₂³	1	2	yes	—
175	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
176	C₂²×D₃₁₆	C₂³	1	8	yes	—
177	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
178	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
181	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
183	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
184	C₂×D₄×D₇₉	—	2	8	no	—
185	C₂×D₄×D₇₉	—	2	16	no	—
186	C₂×D₄×D₇₉	C₂³	1	4	yes	—
187	C₂×D₄×D₇₉	C₂³	1	16	yes	—
188	C₂×D₄×D₇₉	C₂³	1	8	yes	—
189	C₂×D₄×D₇₉	C₂³	1	8	yes	—
190	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
191	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
192	C₂×D₄×D₇₉	C₂³	1	2	yes	complemented
193	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇₉	C₂³	1	2	yes	—
195	C₂³×Dic₇₉	C₂³	1	4	yes	complemented
196	C₂²×C₄×D₇₉	—	2	16	no	—
197	C₂²×C₄×D₇₉	—	2	8	no	—
198	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
199	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
200	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
201	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
202	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
206	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
207	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
208	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
210	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
211	#14579160	C₂³	1	16	yes	complemented
212	#14579159	C₂³	1	4	yes	complemented
213	#14579158	C₂³	1	4	yes	complemented
214	#14579157	C₂³	1	16	yes	complemented
215	#14579157	C₂³	1	4	yes	complemented
216	#14579150	C₂³	1	4	yes	complemented
217	#14579150	C₂³	1	4	yes	complemented
218	#14579149	C₂³	1	4	yes	complemented
219	#14579147	C₂³	1	16	yes	complemented
220	#14579147	C₂³	1	16	yes	complemented
221	#14579146	C₂³	1	16	yes	complemented
222	#14579146	C₂³	1	8	yes	complemented
223	#14579145	C₂³	1	4	yes	—
224	#14579145	C₂³	1	8	yes	complemented
225	#14579144	C₂³	1	8	yes	—
226	#14579144	C₂³	1	4	yes	—
227	#14579144	C₂³	1	8	yes	complemented
228	#14579144	C₂³	1	16	yes	complemented
229	#14579143	C₂³	1	8	yes	complemented
230	#14579142	C₂³	1	4	yes	—
231	#14579142	C₂³	1	8	yes	complemented
232	#14579141	C₂³	1	4	yes	—
233	#14579140	C₂³	1	4	yes	complemented
234	#14579139	C₂³	1	16	yes	—
235	#14579139	C₂³	1	8	yes	—
236	#14579139	C₂³	1	16	yes	complemented
237	#14579139	C₂³	1	16	yes	complemented
238	#14579139	C₂³	1	16	yes	complemented
239	#14579138	C₂³	1	8	yes	complemented
240	#14579138	C₂³	1	16	yes	complemented
241	#14579137	C₂³	1	4	yes	—
242	#14579137	C₂³	1	8	yes	complemented
243	#14579136	C₂³	1	4	yes	—
244	#14579136	C₂³	1	16	yes	complemented
245	#14579136	C₂³	1	8	yes	complemented
246	#14579135	C₂³	1	16	yes	complemented
247	#14579135	C₂³	1	8	yes	complemented
248	#14579135	C₂³	1	4	yes	complemented
249	#14579134	C₂³	1	16	yes	—
250	#14579134	C₂³	1	8	yes	—
251	#14579134	C₂³	1	16	yes	complemented
252	#14579134	C₂³	1	16	yes	complemented
253	#14579134	C₂³	1	16	yes	complemented
254	#14579134	C₂³	1	16	yes	complemented
255	#14579133	C₂³	1	8	yes	complemented
256	#14579133	C₂³	1	16	yes	complemented
257	#14579133	C₂³	1	16	yes	complemented
258	#14579133	C₂³	1	16	yes	complemented
259	#14579132	C₂³	1	4	yes	—
260	#14579131	C₂³	1	16	yes	—
261	#14579131	C₂³	1	8	yes	—
262	#14579131	C₂³	1	4	yes	—
263	#14579131	C₂³	1	8	yes	—
264	#14579131	C₂³	1	16	yes	complemented
265	#14579131	C₂³	1	8	yes	complemented
266	#14579130	C₂³	1	4	yes	—
267	#14579130	C₂³	1	8	yes	complemented
268	#14579129	C₂³	1	8	yes	—
269	#14579129	C₂³	1	16	yes	—
270	#14579129	C₂³	1	4	yes	—
271	#14579129	C₂³	1	8	yes	—
272	#14579129	C₂³	1	8	yes	complemented
273	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
274	#14579126	C₂³	1	8	yes	complemented
275	C₄×D₃₁₆	C₂³	1	8	yes	—
276	D₄×Dic₇₉	C₂³	1	8	yes	complemented
277	D₄×Dic₇₉	C₂³	1	8	yes	complemented
278	#14579123	C₂³	1	16	yes	—
279	#14579123	C₂³	1	8	yes	—
280	#14579123	C₂³	1	16	yes	complemented
281	#14579123	C₂³	1	16	yes	complemented
282	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
283	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
284	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
285	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
286	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
287	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
288	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
289	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
290	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
291	#14579120	C₂³	1	2	yes	—
292	#14579119	C₂³	1	4	yes	complemented
293	#14579118	C₂³	1	4	yes	complemented
294	#14579117	C₂³	1	4	yes	—
295	#14579117	C₂³	1	8	yes	—
296	#14579117	C₂³	1	8	yes	complemented
297	#14579117	C₂³	1	8	yes	complemented
298	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
299	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
300	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
301	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
302	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
303	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
304	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
305	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
306	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
307	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
308	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
309	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
310	C₄²×D₇₉	C₂³	1	4	yes	complemented
311	H(5,𝔽₂)×C₇₉	—	2	8	no	—
312	C₂×#41×C₇₉	—	2	8	no	—
313	C₂×#41×C₇₉	C₂³	1	2	yes	—
314	C₂×#41×C₇₉	C₂³	1	8	yes	—
315	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
316	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
317	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
318	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₉	C₂³	1	4	yes	complemented
321	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
322	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₄⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
324	#124×C₇₉	C₂³	1	4	yes	complemented
325	#123×C₇₉	C₂³	1	4	yes	—
326	#123×C₇₉	C₂³	1	8	yes	—
327	#123×C₇₉	C₂³	1	8	yes	complemented
328	#123×C₇₉	C₂³	1	16	yes	complemented
329	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
330	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
331	#121×C₇₉	C₂³	1	16	yes	complemented
332	#121×C₇₉	C₂³	1	4	yes	complemented
333	#120×C₇₉	C₂³	1	4	yes	—
334	#120×C₇₉	C₂³	1	8	yes	complemented
335	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
336	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
337	#117×C₇₉	C₂³	1	2	yes	—
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
341	C₂³×D₇₉	—	2	8	no	—
342	C₂³×D₇₉	—	2	4	no	—
343	C₂³×D₇₉	—	4	4	no	—
344	C₂³×D₇₉	—	4	8	no	—
345	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
346	C₂³×D₇₉	C₂⁴	1	4	yes	—
347	C₂³×D₇₉	C₂⁴	1	8	yes	—
348	C₂³×D₇₉	C₂⁴	1	2	yes	—
349	C₂³×D₇₉	C₂⁴	1	4	yes	—
350	C₂³×D₇₉	C₂⁴	1	4	yes	—
351	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
352	#11929625	—	2	8	no	—
353	#11929625	—	2	16	no	—
354	#11929625	—	2	16	no	—
355	#11929624	—	2	16	no	—
356	#11929624	—	2	32	no	—
357	#11929624	—	2	16	no	—
358	#11929624	—	2	8	no	—
359	#11929624	—	2	64	no	—
360	#11929624	—	2	32	no	—
361	#11929623	—	2	32	no	—
362	#11929623	—	2	32	no	—
363	#11929623	—	2	16	no	—
364	#11929623	—	2	32	no	—
365	#11929623	—	2	32	no	—
366	#11929623	—	2	32	no	—
367	#11929623	—	2	8	no	—
368	#11929623	—	2	16	no	—
369	#11929623	—	2	16	no	—
370	#11929623	—	2	32	no	—
371	#11929623	C₂×D₄	1	32	yes	complemented
372	#11929623	C₂×D₄	1	32	yes	complemented
373	C₂×Dic₁₅₈	—	2	8	no	—
374	C₂×Dic₁₅₈	—	2	16	no	—
375	C₂×Dic₁₅₈	—	2	16	no	—
376	C₂×Dic₁₅₈	C₂×D₄	1	8	yes	complemented
377	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
378	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
379	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
380	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
381	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
382	Q₈×D₇₉	—	2	8	no	—
383	Q₈×D₇₉	—	2	32	no	—
384	Q₈×D₇₉	—	2	16	no	—
385	C₂×D₃₁₆	—	2	8	no	—
386	C₂×D₃₁₆	—	2	4	no	—
387	C₂×D₃₁₆	—	4	16	no	—
388	C₂×D₃₁₆	C₂⁴	1	8	yes	—
389	C₂×D₃₁₆	C₂⁴	1	4	yes	—
390	C₂×D₃₁₆	C₂⁴	1	2	yes	—
391	C₂×D₃₁₆	C₂⁴	1	4	yes	—
392	C₂×D₃₁₆	C₂⁴	1	8	yes	—
393	C₂×D₃₁₆	C₂⁴	1	16	yes	—
394	C₂×C₂²⋊D₇₉	—	2	8	no	—
395	C₂×C₂²⋊D₇₉	—	2	16	no	—
396	C₂×C₂²⋊D₇₉	—	2	8	no	—
397	C₂×C₂²⋊D₇₉	—	2	16	no	—
398	C₂×C₂²⋊D₇₉	—	2	32	no	—
399	C₂×C₂²⋊D₇₉	—	4	16	no	—
400	C₂×C₂²⋊D₇₉	C₂×D₄	1	16	yes	complemented
401	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
402	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
405	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
407	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
410	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
412	D₄×D₇₉	—	2	8	no	—
413	D₄×D₇₉	—	2	16	no	—
414	D₄×D₇₉	—	2	32	no	—
415	D₄×D₇₉	—	2	16	no	—
416	D₄×D₇₉	—	2	64	no	—
417	D₄×D₇₉	—	2	32	no	—
418	D₄×D₇₉	—	4	16	no	—
419	C₂²×Dic₇₉	—	2	16	no	—
420	C₂²×Dic₇₉	—	2	4	no	—
421	C₂²×Dic₇₉	C₂×D₄	1	16	yes	complemented
422	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
424	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
425	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
426	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
427	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
428	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
429	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
430	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
431	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
432	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
433	C₂×C₄×D₇₉	—	2	8	no	—
434	C₂×C₄×D₇₉	—	2	16	no	—
435	C₂×C₄×D₇₉	—	2	32	no	—
436	C₂×C₄×D₇₉	—	2	32	no	—
437	C₂×C₄×D₇₉	—	2	8	no	—
438	C₂×C₄×D₇₉	—	2	8	no	—
439	C₂×C₄×D₇₉	—	2	4	no	—
440	C₂×C₄×D₇₉	—	2	16	no	—
441	C₂×C₄×D₇₉	—	2	16	no	—
442	C₂×C₄×D₇₉	—	2	16	no	—
443	C₂×C₄×D₇₉	—	2	4	no	—
444	C₂×C₄×D₇₉	—	2	4	no	—
445	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	complemented
446	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
447	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
448	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
449	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
450	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
451	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
452	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
453	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
454	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
455	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
456	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
457	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
458	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
459	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
460	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
461	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
462	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
463	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
464	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
465	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
466	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
467	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
468	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
469	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
470	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
472	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
473	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
480	C₄×Dic₇₉	C₂⁴	1	8	yes	—
481	C₄×Dic₇₉	C₂⁴	1	4	yes	—
482	C₄×Dic₇₉	C₂⁴	1	16	yes	—
483	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
484	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
485	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
486	#41×C₇₉	—	2	32	no	—
487	#41×C₇₉	—	2	16	no	—
488	#41×C₇₉	—	2	8	no	—
489	C₂×Q₈×C₇₉	—	2	4	no	—
490	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
491	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
492	C₂×D₄×C₇₉	—	2	16	no	—
493	C₂×D₄×C₇₉	—	2	8	no	—
494	C₂×D₄×C₇₉	—	2	16	no	—
495	C₂×D₄×C₇₉	C₂×D₄	1	8	yes	complemented
496	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
497	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
498	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
499	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
500	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
501	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂²×C₄×C₇₉	—	2	8	no	—
503	C₂²×C₄×C₇₉	—	2	4	no	—
504	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
505	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
506	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
507	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
508	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
511	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
512	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
513	C₄⋊C₄×C₇₉	C₂⁴	1	16	yes	—
514	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
515	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
516	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
517	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
518	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
519	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
520	C₄²×C₇₉	C₂⁴	1	4	yes	—
521	C₂³×C₇₉	—	2	2	no	—
522	C₂³×C₇₉	—	2	8	no	—
523	C₂³×C₇₉	—	4	4	no	—
524	C₂³×C₇₉	—	4	2	no	—
525	C₂³×C₇₉	—	4	8	no	—
526	C₂³×C₇₉	C₂²×D₄	1	8	yes	—
527	C₂³×C₇₉	C₂⁵	1	2	yes	—
528	C₂³×C₇₉	C₂⁵	1	4	yes	—
529	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
530	C₂³×C₇₉	C₂⁵	1	4	yes	—
531	C₂²×D₇₉	—	2	2	no	—
532	C₂²×D₇₉	—	2	4	no	—
533	C₂²×D₇₉	—	2	16	no	—
534	C₂²×D₇₉	—	2	4	no	—
535	C₂²×D₇₉	—	2	8	no	—
536	C₂²×D₇₉	—	2	8	no	—
537	C₂²×D₇₉	—	2	8	no	—
538	C₂²×D₇₉	—	2	16	no	—
539	C₂²×D₇₉	—	2	8	no	—
540	C₂²×D₇₉	—	4	4	no	—
541	C₂²×D₇₉	—	4	8	no	—
542	C₂²×D₇₉	—	4	2	no	—
543	C₂²×D₇₉	—	4	4	no	—
544	C₂²×D₇₉	—	4	8	no	—
545	C₂²×D₇₉	—	4	8	no	—
546	C₂²×D₇₉	—	4	16	no	—
547	C₂²×D₇₉	—	4	32	no	—
548	C₂²×D₇₉	C₂²×D₄	1	4	yes	—
549	C₂²×D₇₉	C₂⁵	1	4	yes	—
550	C₂²×D₇₉	C₂⁵	1	4	yes	—
551	C₂²×D₇₉	C₂⁵	1	2	yes	—
552	C₂²×D₇₉	C₂⁵	1	2	yes	—
553	Q₈×C₇₉	—	2	4	no	—
554	Q₈×C₇₉	—	2	8	no	—
555	D₄×C₇₉	—	2	16	no	—
556	D₄×C₇₉	—	2	16	no	—
557	D₄×C₇₉	—	2	8	no	—
558	D₄×C₇₉	—	2	4	no	—
559	D₄×C₇₉	—	4	8	no	—
560	D₄×C₇₉	C₂²×D₄	1	16	yes	—
561	C₂×C₄×C₇₉	—	2	2	no	—
562	C₂×C₄×C₇₉	—	2	4	no	—
563	C₂×C₄×C₇₉	—	2	16	no	—
564	C₂×C₄×C₇₉	—	2	8	no	—
565	C₂×C₄×C₇₉	—	2	8	no	—
566	C₂×C₄×C₇₉	—	2	8	no	—
567	C₂×C₄×C₇₉	—	4	8	no	—
568	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
569	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
570	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
571	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
572	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
573	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
574	C₂²⋊D₇₉	—	2	16	no	—
575	C₂²⋊D₇₉	—	2	16	no	—
576	C₂²⋊D₇₉	—	2	8	no	—
577	C₂²⋊D₇₉	—	2	8	no	—
578	C₂²⋊D₇₉	—	2	16	no	—
579	C₂²⋊D₇₉	—	2	16	no	—
580	C₂²⋊D₇₉	—	2	16	no	—
581	C₂²⋊D₇₉	—	2	8	no	—
582	C₂²⋊D₇₉	—	4	8	no	—
583	C₂²⋊D₇₉	—	4	16	no	—
584	C₂²⋊D₇₉	C₂²×D₄	1	32	yes	—
585	C₂×Dic₇₉	—	2	2	no	—
586	C₂×Dic₇₉	—	2	8	no	—
587	C₂×Dic₇₉	—	2	4	no	—
588	C₂×Dic₇₉	—	2	4	no	—
589	C₂×Dic₇₉	—	2	8	no	—
590	C₂×Dic₇₉	—	2	16	no	—
591	C₂×Dic₇₉	—	4	8	no	—
592	C₂×Dic₇₉	C₂²×D₄	1	4	yes	—
593	C₂×Dic₇₉	C₂²×D₄	1	16	yes	—
594	C₂×Dic₇₉	C₂²×D₄	1	8	yes	—
595	C₂×Dic₇₉	C₂²×D₄	1	16	yes	—
596	C₂×Dic₇₉	C₂⁵	1	8	yes	—
597	C₂×Dic₇₉	C₂⁵	1	4	yes	—
598	C₂×Dic₇₉	C₂⁵	1	2	yes	—
599	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
600	C₂×Dic₇₉	C₂⁵	1	4	yes	—
601	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
602	D₃₁₆	—	2	8	no	—
603	D₃₁₆	—	2	16	no	—
604	D₃₁₆	—	2	16	no	—
605	D₃₁₆	—	2	4	no	—
606	D₃₁₆	—	2	8	no	—
607	D₃₁₆	—	4	16	no	—
608	C₄×D₇₉	—	2	8	no	—
609	C₄×D₇₉	—	2	8	no	—
610	C₄×D₇₉	—	2	8	no	—
611	C₄×D₇₉	—	2	8	no	—
612	C₄×D₇₉	—	2	4	no	—
613	C₄×D₇₉	—	2	4	no	—
614	C₄×D₇₉	—	2	16	no	—
615	C₄×D₇₉	—	2	8	no	—
616	C₄×D₇₉	—	2	8	no	—
617	C₄×D₇₉	—	2	8	no	—
618	C₄×D₇₉	—	2	16	no	—
619	C₄×D₇₉	—	2	16	no	—
620	C₄×D₇₉	—	4	8	no	—
621	C₄×D₇₉	C₂²×D₄	1	8	yes	—
622	C₄×D₇₉	C₂²×D₄	1	8	yes	—
623	Dic₁₅₈	—	2	4	no	—
624	Dic₁₅₈	—	2	16	no	—
625	Dic₁₅₈	—	2	16	no	—
626	Dic₁₅₈	—	2	8	no	—
627	Dic₁₅₈	C₂²×D₄	1	16	yes	—
628	C₂²×C₇₉	—	2	8	no	—
629	C₂²×C₇₉	—	2	2	no	—
630	C₂²×C₇₉	—	2	2	no	—
631	C₂²×C₇₉	—	2	4	no	—
632	C₂²×C₇₉	—	2	8	no	—
633	C₂²×C₇₉	—	2	4	no	—
634	C₂²×C₇₉	—	4	8	no	—
635	C₂²×C₇₉	—	4	4	no	—
636	C₂²×C₇₉	—	8	8	no	—
637	C₂²×C₇₉	C₂³×D₄	1	8	yes	—
638	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
639	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
640	C₂×D₇₉	—	2	8	no	—
641	C₂×D₇₉	—	2	2	no	—
642	C₂×D₇₉	—	2	2	no	—
643	C₂×D₇₉	—	2	4	no	—
644	C₂×D₇₉	—	2	4	no	—
645	C₂×D₇₉	—	2	4	no	—
646	C₂×D₇₉	—	2	8	no	—
647	C₂×D₇₉	—	2	8	no	—
648	C₂×D₇₉	—	4	4	no	—
649	C₂×D₇₉	—	4	16	no	—
650	C₂×D₇₉	—	4	32	no	—
651	C₂×D₇₉	—	4	8	no	—
652	C₂×D₇₉	—	8	8	no	—
653	C₂×D₇₉	—	8	8	no	—
654	C₂×D₇₉	C₂³×D₄	1	4	yes	—
655	C₂×D₇₉	#585	1	4	yes	complemented
656	C₄×C₇₉	—	2	2	no	—
657	C₄×C₇₉	—	2	4	no	—
658	C₄×C₇₉	—	2	4	no	—
659	C₄×C₇₉	—	2	8	no	—
660	C₄×C₇₉	C₂³×D₄	1	4	yes	—
661	Dic₇₉	—	2	2	no	—
662	Dic₇₉	—	2	4	no	—
663	Dic₇₉	—	2	8	no	—
664	Dic₇₉	C₂³×D₄	1	8	yes	—
665	Dic₇₉	C₂³×D₄	1	2	yes	—
666	Dic₇₉	C₂³×D₄	1	2	yes	—
667	#62811	—	79	1	no	maximal, Sylow
668	C₂×C₇₉	—	2	2	no	—
669	C₂×C₇₉	—	2	8	no	—
670	C₂×C₇₉	—	4	2	no	—
671	C₂×C₇₉	—	4	4	no	—
672	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
673	C₂×C₇₉	C₂×#585	1	2	yes	—
674	D₇₉	—	2	4	no	—
675	D₇₉	—	2	4	no	—
676	D₇₉	—	4	4	no	—
677	D₇₉	—	4	4	no	—
678	C₂×#585	—	79	1	no	—
679	C₂³×#41	—	79	1	no	—
680	#3489	—	79	8	no	—
681	#3488	—	79	8	no	—
682	#3487	—	79	2	no	—
683	#3486	—	79	2	no	—
684	#3485	—	79	1	no	—
685	#3485	—	79	4	no	—
686	#3485	D₇₉	1	1	yes	characteristic, complemented
687	#3484	—	79	1	no	—
688	#3484	—	79	4	no	—
689	#3484	—	79	1	no	—
690	D₄×#41	—	79	8	no	—
691	D₄×#41	—	79	8	no	—
692	#3449	—	79	2	no	—
693	#3449	—	79	4	no	—
694	C₂×#525	—	79	2	no	—
695	C₂×#525	—	79	4	no	—
696	#3428	—	79	1	no	—
697	C₇₉	#62811	1	1	yes	characteristic, complemented, Sylow
698	#585	—	158	16	no	—
699	C₂×2₋¹⁺⁴	—	79	2	no	—
700	C₂×2₋¹⁺⁴	—	79	4	no	—
701	C₂×H(5,𝔽₂)	—	79	4	no	—
702	C₂×H(5,𝔽₂)	—	79	1	no	—
703	C₂×H(5,𝔽₂)	—	79	4	no	—
704	C₂×H(5,𝔽₂)	C₂×D₇₉	1	1	yes	characteristic, complemented
705	C₂²×#41	—	79	8	no	—
706	C₂²×#41	—	79	8	no	—
707	C₂²×#41	—	79	2	no	—
708	C₂²×#41	—	79	4	no	—
709	C₂²×#41	—	79	1	no	—
710	C₂²×#41	—	79	1	no	—
711	C₂²×#41	—	79	2	no	—
712	C₂²×#41	—	79	4	no	—
713	C₂²×#41	—	79	4	no	—
714	C₂²×#41	—	79	2	no	—
715	C₂²×#41	—	79	1	no	—
716	C₂²×#41	—	158	16	no	—
717	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
718	C₂³×Q₈	—	79	1	no	—
719	C₂³×D₄	—	79	2	no	—
720	C₂³×D₄	—	79	1	no	—
721	C₂⁴×C₄	—	79	2	no	—
722	C₂⁴×C₄	—	79	1	no	—
723	#550	—	79	8	no	—
724	#550	—	79	8	no	—
725	D₄×Q₈	—	79	8	no	—
726	D₄×Q₈	—	79	8	no	—
727	#548	—	79	8	no	—
728	#548	—	79	8	no	—
729	#548	—	79	8	no	—
730	#548	—	79	8	no	—
731	#547	—	79	8	no	—
732	#547	—	79	16	no	—
733	#547	—	79	16	no	—
734	#547	C₂×D₇₉	1	8	yes	complemented
735	#546	—	79	8	no	—
736	#546	—	79	8	no	—
737	#546	—	79	16	no	—
738	#546	—	79	16	no	—
739	#546	—	79	16	no	—
740	#546	—	79	8	no	—
741	#546	—	79	16	no	—
742	#546	C₂×D₇₉	1	8	yes	complemented
743	D₄²	—	79	8	no	—
744	D₄²	—	79	16	no	—
745	D₄²	—	79	16	no	—
746	D₄²	—	79	8	no	—
747	#537	—	79	8	no	—
748	#537	—	79	16	no	—
749	#536	—	79	2	no	—
750	#536	—	79	4	no	—
751	#536	—	79	8	no	—
752	#536	—	79	8	no	—
753	#536	C₂×D₇₉	1	2	yes	complemented
754	#535	—	79	2	no	—
755	#535	—	79	4	no	—
756	#535	—	79	8	no	—
757	#535	—	79	8	no	—
758	#535	—	79	2	no	—
759	#534	—	79	4	no	—
760	#534	—	79	4	no	—
761	#534	—	79	8	no	—
762	#534	—	79	4	no	—
763	#534	C₂×D₇₉	1	4	yes	complemented
764	#532	—	79	4	no	—
765	#532	—	79	4	no	—
766	#532	—	79	16	no	—
767	#525	—	79	2	no	—
768	#525	—	79	2	no	—
769	#525	—	79	4	no	—
770	#525	—	79	8	no	—
771	#525	—	79	8	no	—
772	#525	—	79	8	no	—
773	#525	—	79	16	no	—
774	#525	—	79	16	no	—
775	#525	—	79	8	no	—
776	#525	—	79	4	no	—
777	#525	—	79	8	no	—
778	#525	—	79	4	no	—
779	#525	—	79	4	no	—
780	#525	—	79	8	no	—
781	#525	—	79	8	no	—
782	#525	—	79	2	no	—
783	#525	C₂×D₇₉	1	2	yes	complemented
784	C₂×#123	—	79	4	no	—
785	C₂×#123	—	79	4	no	—
786	C₂×#123	C₂×D₇₉	1	4	yes	complemented
787	C₂×C₂²⋊Q₈	—	79	4	no	—
788	C₂×C₂²⋊Q₈	—	79	8	no	—
789	C₂×#121	—	79	4	no	—
790	C₂×#121	—	79	8	no	—
791	C₂×#120	—	79	4	no	—
792	C₂×#120	—	79	4	no	—
793	C₂×#120	—	79	4	no	—
794	#520	—	79	8	no	—
795	#519	—	79	2	no	—
796	#518	—	79	1	no	—
797	#518	—	79	4	no	—
798	#518	C₂×D₇₉	1	1	yes	characteristic, complemented
799	C₄×#41	—	79	8	no	—
800	C₂×C₄×D₄	—	79	8	no	—
801	C₂×C₄×D₄	—	79	8	no	—
802	C₂×C₄×D₄	—	79	8	no	—
803	C₂×#117	—	79	2	no	—
804	C₂×#117	—	79	4	no	—
805	C₂⁵	—	79	1	no	—
806	C₂⁵	—	79	2	no	—
807	2₋¹⁺⁴	—	158	16	no	—
808	2₋¹⁺⁴	—	158	32	no	—
809	H(5,𝔽₂)	—	2	8	no	—
810	H(5,𝔽₂)	—	158	32	no	—
811	H(5,𝔽₂)	—	158	32	no	—
812	H(5,𝔽₂)	—	158	8	no	—
813	C₂×#41	—	2	8	no	—
814	C₂×#41	—	79	4	no	—
815	C₂×#41	—	79	4	no	—
816	C₂×#41	—	79	2	no	—
817	C₂×#41	—	79	16	no	—
818	C₂×#41	—	79	4	no	—
819	C₂×#41	—	79	4	no	—
820	C₂×#41	—	79	4	no	—
821	C₂×#41	—	79	8	no	—
822	C₂×#41	—	79	8	no	—
823	C₂×#41	—	79	8	no	—
824	C₂×#41	—	79	8	no	—
825	C₂×#41	—	79	2	no	—
826	C₂×#41	—	79	8	no	—
827	C₂×#41	—	79	4	no	—
828	C₂×#41	—	79	8	no	—
829	C₂×#41	—	79	4	no	—
830	C₂×#41	—	79	2	no	—
831	C₂×#41	—	79	16	no	—
832	C₂×#41	—	79	8	no	—
833	C₂×#41	—	79	4	no	—
834	C₂×#41	—	79	8	no	—
835	C₂×#41	—	79	4	no	—
836	C₂×#41	—	158	16	no	—
837	C₂×#41	—	158	8	no	—
838	C₂×#41	—	158	16	no	—
839	C₂×#41	—	158	32	no	—
840	C₂×#41	—	158	8	no	—
841	C₂×#41	—	158	16	no	—
842	C₂×#41	—	158	32	no	—
843	C₂×#41	—	158	64	no	—
844	C₂×#41	—	158	64	no	—
845	C₂×#41	—	158	32	no	—
846	C₂×#41	C₂²×D₇₉	1	2	yes	—
847	C₂×#41	C₂²×D₇₉	1	8	yes	—
848	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
849	C₂²×Q₈	—	79	8	no	—
850	C₂²×Q₈	—	79	2	no	—
851	C₂²×Q₈	—	79	4	no	—
852	C₂²×Q₈	—	79	1	no	—
853	C₂²×Q₈	—	79	2	no	—
854	C₂²×Q₈	—	79	4	no	—
855	C₂²×Q₈	—	79	4	no	—
856	C₂²×Q₈	—	158	8	no	—
857	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
858	C₂²×D₄	—	79	8	no	—
859	C₂²×D₄	—	79	8	no	—
860	C₂²×D₄	—	79	2	no	—
861	C₂²×D₄	—	79	4	no	—
862	C₂²×D₄	—	79	4	no	—
863	C₂²×D₄	—	79	2	no	—
864	C₂²×D₄	—	79	2	no	—
865	C₂²×D₄	—	79	8	no	—
866	C₂²×D₄	—	79	4	no	—
867	C₂²×D₄	—	79	2	no	—
868	C₂²×D₄	—	79	16	no	—
869	C₂²×D₄	—	79	8	no	—
870	C₂²×D₄	—	79	8	no	—
871	C₂²×D₄	—	79	4	no	—
872	C₂²×D₄	—	79	8	no	—
873	C₂²×D₄	—	79	2	no	—
874	C₂²×D₄	—	79	1	no	—
875	C₂²×D₄	—	158	16	no	—
876	C₂²×D₄	—	158	8	no	—
877	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
878	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
879	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
880	C₂²×D₄	C₂²×D₇₉	1	4	yes	complemented
881	C₂³×C₄	—	79	2	no	—
882	C₂³×C₄	—	79	1	no	—
883	C₂³×C₄	—	79	4	no	—
884	C₂³×C₄	—	79	1	no	—
885	C₂³×C₄	—	79	8	no	—
886	C₂³×C₄	—	79	4	no	—
887	C₂³×C₄	—	79	4	no	—
888	C₂³×C₄	—	79	4	no	—
889	C₂³×C₄	—	79	8	no	—
890	C₂³×C₄	—	79	4	no	—
891	C₂³×C₄	—	79	1	no	—
892	C₂³×C₄	—	79	1	no	—
893	C₂³×C₄	—	79	2	no	—
894	C₂³×C₄	—	79	1	no	—
895	C₂³×C₄	—	79	2	no	—
896	C₂³×C₄	—	79	2	no	—
897	C₂³×C₄	—	158	16	no	—
898	C₂³×C₄	—	158	8	no	—
899	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
900	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
901	C₄⋊Q₈	—	79	4	no	—
902	C₄⋊Q₈	—	79	16	no	—
903	C₄⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
904	#127	—	79	4	no	—
905	#127	—	79	16	no	—
906	#127	—	79	4	no	—
907	#124	—	79	4	no	—
908	#124	—	79	4	no	—
909	#124	—	79	16	no	—
910	#124	—	79	16	no	—
911	#124	—	79	4	no	—
912	#124	C₂²×D₇₉	1	4	yes	complemented
913	#123	—	79	4	no	—
914	#123	—	79	8	no	—
915	#123	—	79	4	no	—
916	#123	—	79	8	no	—
917	#123	—	79	16	no	—
918	#123	—	79	8	no	—
919	#123	—	79	8	no	—
920	#123	—	79	16	no	—
921	#123	—	79	4	no	—
922	#123	—	79	8	no	—
923	#123	—	79	8	no	—
924	#123	C₂²×D₇₉	1	4	yes	—
925	#123	C₂²×D₇₉	1	8	yes	—
926	#123	C₂²×D₇₉	1	16	yes	complemented
927	#123	C₂²×D₇₉	1	8	yes	complemented
928	C₂²⋊Q₈	—	79	4	no	—
929	C₂²⋊Q₈	—	79	8	no	—
930	C₂²⋊Q₈	—	79	4	no	—
931	C₂²⋊Q₈	—	79	8	no	—
932	C₂²⋊Q₈	—	79	16	no	—
933	C₂²⋊Q₈	—	79	16	no	—
934	C₂²⋊Q₈	—	79	4	no	—
935	C₂²⋊Q₈	—	79	16	no	—
936	C₂²⋊Q₈	—	79	16	no	—
937	C₂²⋊Q₈	—	79	8	no	—
938	C₂²⋊Q₈	—	79	16	no	—
939	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
940	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
941	#121	—	79	8	no	—
942	#121	—	79	4	no	—
943	#121	—	79	16	no	—
944	#121	—	79	16	no	—
945	#121	—	79	16	no	—
946	#121	—	79	4	no	—
947	#121	—	79	8	no	—
948	#121	—	79	16	no	—
949	#121	—	79	4	no	—
950	#121	—	79	8	no	—
951	#121	—	79	16	no	—
952	#121	—	79	8	no	—
953	#121	—	79	16	no	—
954	#121	—	79	16	no	—
955	#121	—	79	16	no	—
956	#121	—	79	16	no	—
957	#121	—	79	16	no	—
958	#121	C₂²×D₇₉	1	4	yes	complemented
959	#121	C₂²×D₇₉	1	16	yes	complemented
960	#120	—	79	4	no	—
961	#120	—	79	8	no	—
962	#120	—	79	4	no	—
963	#120	—	79	8	no	—
964	#120	—	79	16	no	—
965	#120	—	79	8	no	—
966	#120	—	79	8	no	—
967	#120	—	79	4	no	—
968	#120	—	79	8	no	—
969	#120	—	79	8	no	—
970	#120	—	79	16	no	—
971	#120	—	79	16	no	—
972	#120	—	79	8	no	—
973	#120	C₂²×D₇₉	1	4	yes	—
974	#120	C₂²×D₇₉	1	8	yes	complemented
975	C₄×Q₈	—	79	8	no	—
976	C₄×Q₈	—	79	8	no	—
977	C₄×D₄	—	79	8	no	—
978	C₄×D₄	—	79	8	no	—
979	C₄×D₄	—	79	8	no	—
980	C₄×D₄	—	79	8	no	—
981	C₄×D₄	—	79	16	no	—
982	C₄×D₄	—	79	8	no	—
983	C₄×D₄	—	79	16	no	—
984	C₄×D₄	—	79	16	no	—
985	C₄×D₄	—	79	16	no	—
986	C₄×D₄	—	79	8	no	—
987	C₄×D₄	—	79	8	no	—
988	C₄×D₄	—	79	16	no	—
989	C₄×D₄	—	79	16	no	—
990	C₄×D₄	—	79	16	no	—
991	C₄×D₄	—	79	16	no	—
992	C₄×D₄	—	79	8	no	—
993	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
994	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
995	#117	—	79	2	no	—
996	#117	—	79	4	no	—
997	#117	—	79	4	no	—
998	#117	—	79	8	no	—
999	#117	—	79	8	no	—
1000	#117	—	79	8	no	—
1001	#117	—	79	4	no	—
1002	#117	C₂²×D₇₉	1	2	yes	—
1003	C₂×C₄⋊C₄	—	79	8	no	—
1004	C₂×C₄⋊C₄	—	79	8	no	—
1005	C₂×C₄⋊C₄	—	79	4	no	—
1006	C₂×C₄⋊C₄	—	79	8	no	—
1007	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1008	C₂×C₂²⋊C₄	—	79	4	no	—
1009	C₂×C₂²⋊C₄	—	79	8	no	—
1010	C₂×C₂²⋊C₄	—	79	8	no	—
1011	C₂×C₂²⋊C₄	—	79	8	no	—
1012	C₂×C₂²⋊C₄	—	79	4	no	—
1013	C₂×C₂²⋊C₄	—	79	8	no	—
1014	C₂×C₂²⋊C₄	—	79	8	no	—
1015	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1016	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1017	C₂×C₄²	—	79	8	no	—
1018	C₂×C₄²	—	79	4	no	—
1019	C₂⁴	—	316	8	no	—
1020	C₂⁴	—	316	4	no	—
1021	C₂⁴	—	79	1	no	—
1022	C₂⁴	—	79	4	no	—
1023	C₂⁴	—	79	4	no	—
1024	C₂⁴	—	79	2	no	—
1025	C₂⁴	—	79	4	no	—
1026	C₂⁴	—	79	8	no	—
1027	C₂⁴	—	79	1	no	—
1028	C₂⁴	—	158	4	no	—
1029	C₂⁴	—	158	8	no	—
1030	C₂⁴	C₂³×D₇₉	1	4	yes	—
1031	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1032	C₂⁴	C₂³×D₇₉	1	2	yes	—
1033	#41	—	2	32	no	—
1034	#41	—	2	16	no	—
1035	#41	—	2	8	no	—
1036	#41	—	79	32	no	—
1037	#41	—	79	32	no	—
1038	#41	—	158	16	no	—
1039	#41	—	158	64	no	—
1040	#41	—	158	32	no	—
1041	#41	—	158	32	no	—
1042	#41	—	158	16	no	—
1043	#41	—	158	16	no	—
1044	#41	—	158	32	no	—
1045	#41	—	158	32	no	—
1046	#41	—	158	32	no	—
1047	#41	—	158	8	no	—
1048	#41	—	158	32	no	—
1049	#41	—	158	32	no	—
1050	#41	—	158	16	no	—
1051	#41	—	158	8	no	—
1052	#41	—	158	16	no	—
1053	#41	—	158	32	no	—
1054	#41	—	158	16	no	—
1055	#41	—	158	16	no	—
1056	#41	—	158	8	no	—
1057	C₂×Q₈	—	2	4	no	—
1058	C₂×Q₈	—	79	4	no	—
1059	C₂×Q₈	—	79	4	no	—
1060	C₂×Q₈	—	79	8	no	—
1061	C₂×Q₈	—	79	8	no	—
1062	C₂×Q₈	—	79	2	no	—
1063	C₂×Q₈	—	79	8	no	—
1064	C₂×Q₈	—	158	8	no	—
1065	C₂×Q₈	—	158	16	no	—
1066	C₂×Q₈	—	158	16	no	—
1067	C₂×Q₈	—	158	8	no	—
1068	C₂×Q₈	—	158	32	no	—
1069	C₂×Q₈	—	158	16	no	—
1070	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1071	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1072	C₂×D₄	—	2	8	no	—
1073	C₂×D₄	—	2	16	no	—
1074	C₂×D₄	—	2	16	no	—
1075	C₂×D₄	—	316	16	no	—
1076	C₂×D₄	—	316	16	no	—
1077	C₂×D₄	—	316	16	no	—
1078	C₂×D₄	—	79	8	no	—
1079	C₂×D₄	—	79	16	no	—
1080	C₂×D₄	—	79	8	no	—
1081	C₂×D₄	—	79	16	no	—
1082	C₂×D₄	—	79	8	no	—
1083	C₂×D₄	—	79	4	no	—
1084	C₂×D₄	—	79	4	no	—
1085	C₂×D₄	—	79	8	no	—
1086	C₂×D₄	—	79	8	no	—
1087	C₂×D₄	—	79	4	no	—
1088	C₂×D₄	—	79	8	no	—
1089	C₂×D₄	—	79	8	no	—
1090	C₂×D₄	—	79	16	no	—
1091	C₂×D₄	—	79	8	no	—
1092	C₂×D₄	—	79	4	no	—
1093	C₂×D₄	—	79	8	no	—
1094	C₂×D₄	—	79	4	no	—
1095	C₂×D₄	—	79	2	no	—
1096	C₂×D₄	—	158	8	no	—
1097	C₂×D₄	—	158	8	no	—
1098	C₂×D₄	—	158	8	no	—
1099	C₂×D₄	—	158	16	no	—
1100	C₂×D₄	—	158	64	no	—
1101	C₂×D₄	—	158	32	no	—
1102	C₂×D₄	—	158	16	no	—
1103	C₂×D₄	—	158	32	no	—
1104	C₂×D₄	—	158	8	no	—
1105	C₂×D₄	—	158	16	no	—
1106	C₂×D₄	—	158	32	no	—
1107	C₂×D₄	—	158	16	no	—
1108	C₂×D₄	—	158	4	no	—
1109	C₂×D₄	D₄×D₇₉	1	8	yes	complemented
1110	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1111	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1112	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1113	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1114	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1115	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1116	C₂²×C₄	—	2	8	no	—
1117	C₂²×C₄	—	2	4	no	—
1118	C₂²×C₄	—	79	8	no	—
1119	C₂²×C₄	—	79	8	no	—
1120	C₂²×C₄	—	79	4	no	—
1121	C₂²×C₄	—	79	4	no	—
1122	C₂²×C₄	—	79	1	no	—
1123	C₂²×C₄	—	79	2	no	—
1124	C₂²×C₄	—	79	16	no	—
1125	C₂²×C₄	—	79	2	no	—
1126	C₂²×C₄	—	79	2	no	—
1127	C₂²×C₄	—	79	8	no	—
1128	C₂²×C₄	—	79	4	no	—
1129	C₂²×C₄	—	79	2	no	—
1130	C₂²×C₄	—	79	4	no	—
1131	C₂²×C₄	—	79	8	no	—
1132	C₂²×C₄	—	79	2	no	—
1133	C₂²×C₄	—	79	1	no	—
1134	C₂²×C₄	—	79	4	no	—
1135	C₂²×C₄	—	79	4	no	—
1136	C₂²×C₄	—	79	2	no	—
1137	C₂²×C₄	—	79	4	no	—
1138	C₂²×C₄	—	79	4	no	—
1139	C₂²×C₄	—	79	8	no	—
1140	C₂²×C₄	—	79	4	no	—
1141	C₂²×C₄	—	79	8	no	—
1142	C₂²×C₄	—	79	8	no	—
1143	C₂²×C₄	—	79	4	no	—
1144	C₂²×C₄	—	79	2	no	—
1145	C₂²×C₄	—	79	4	no	—
1146	C₂²×C₄	—	158	4	no	—
1147	C₂²×C₄	—	158	8	no	—
1148	C₂²×C₄	—	158	8	no	—
1149	C₂²×C₄	—	158	8	no	—
1150	C₂²×C₄	—	158	32	no	—
1151	C₂²×C₄	—	158	32	no	—
1152	C₂²×C₄	—	158	16	no	—
1153	C₂²×C₄	—	158	16	no	—
1154	C₂²×C₄	—	158	16	no	—
1155	C₂²×C₄	—	158	16	no	—
1156	C₂²×C₄	—	158	4	no	—
1157	C₂²×C₄	—	158	4	no	—
1158	C₂²×C₄	—	158	16	no	—
1159	C₂²×C₄	—	158	4	no	—
1160	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1161	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1162	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1163	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1164	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1166	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1167	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1168	C₄⋊C₄	—	79	8	no	—
1169	C₄⋊C₄	—	79	8	no	—
1170	C₄⋊C₄	—	79	16	no	—
1171	C₄⋊C₄	—	79	8	no	—
1172	C₄⋊C₄	—	79	16	no	—
1173	C₄⋊C₄	—	79	4	no	—
1174	C₄⋊C₄	—	79	8	no	—
1175	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1176	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1177	C₄⋊C₄	C₂³×D₇₉	1	16	yes	—
1178	C₂²⋊C₄	—	79	4	no	—
1179	C₂²⋊C₄	—	79	8	no	—
1180	C₂²⋊C₄	—	79	8	no	—
1181	C₂²⋊C₄	—	79	8	no	—
1182	C₂²⋊C₄	—	79	8	no	—
1183	C₂²⋊C₄	—	79	8	no	—
1184	C₂²⋊C₄	—	79	8	no	—
1185	C₂²⋊C₄	—	79	8	no	—
1186	C₂²⋊C₄	—	79	16	no	—
1187	C₂²⋊C₄	—	79	16	no	—
1188	C₂²⋊C₄	—	79	8	no	—
1189	C₂²⋊C₄	—	79	16	no	—
1190	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1191	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1192	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1193	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1194	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
1195	C₄²	—	79	8	no	—
1196	C₄²	—	79	16	no	—
1197	C₄²	—	79	4	no	—
1198	C₄²	C₂³×D₇₉	1	4	yes	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	8	no	—
1201	C₂³	—	4	4	no	—
1202	C₂³	—	4	2	no	—
1203	C₂³	—	4	8	no	—
1204	C₂³	—	316	8	no	—
1205	C₂³	—	316	4	no	—
1206	C₂³	—	316	2	no	—
1207	C₂³	—	316	4	no	—
1208	C₂³	—	316	8	no	—
1209	C₂³	—	316	8	no	—
1210	C₂³	—	316	32	no	—
1211	C₂³	—	316	16	no	—
1212	C₂³	—	79	4	no	—
1213	C₂³	—	79	2	no	—
1214	C₂³	—	79	2	no	—
1215	C₂³	—	79	4	no	—
1216	C₂³	—	79	4	no	—
1217	C₂³	—	158	8	no	—
1218	C₂³	—	158	16	no	—
1219	C₂³	—	158	8	no	—
1220	C₂³	—	158	8	no	—
1221	C₂³	—	158	4	no	—
1222	C₂³	—	158	4	no	—
1223	C₂³	—	158	16	no	—
1224	C₂³	—	158	8	no	—
1225	C₂³	—	158	2	no	—
1226	C₂³	C₂×D₄×D₇₉	1	8	yes	—
1227	C₂³	C₂⁴×D₇₉	1	2	yes	—
1228	C₂³	C₂⁴×D₇₉	1	4	yes	—
1229	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1230	C₂³	C₂⁴×D₇₉	1	4	yes	—
1231	Q₈	—	2	8	no	—
1232	Q₈	—	2	4	no	—
1233	Q₈	—	79	16	no	—
1234	Q₈	—	158	8	no	—
1235	Q₈	—	158	16	no	—
1236	Q₈	—	158	16	no	—
1237	Q₈	—	158	4	no	—
1238	D₄	—	2	8	no	—
1239	D₄	—	2	16	no	—
1240	D₄	—	2	16	no	—
1241	D₄	—	2	4	no	—
1242	D₄	—	4	8	no	—
1243	D₄	—	316	16	no	—
1244	D₄	—	316	8	no	—
1245	D₄	—	316	16	no	—
1246	D₄	—	79	32	no	—
1247	D₄	—	158	16	no	—
1248	D₄	—	158	8	no	—
1249	D₄	—	158	16	no	—
1250	D₄	—	158	8	no	—
1251	D₄	—	158	16	no	—
1252	D₄	—	158	16	no	—
1253	D₄	—	158	16	no	—
1254	D₄	—	158	8	no	—
1255	D₄	—	158	8	no	—
1256	D₄	—	158	16	no	—
1257	D₄	—	158	16	no	—
1258	D₄	—	158	4	no	—
1259	D₄	—	158	8	no	—
1260	D₄	C₂×D₄×D₇₉	1	16	yes	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	16	no	—
1264	C₂×C₄	—	2	8	no	—
1265	C₂×C₄	—	2	8	no	—
1266	C₂×C₄	—	2	8	no	—
1267	C₂×C₄	—	4	8	no	—
1268	C₂×C₄	—	316	8	no	—
1269	C₂×C₄	—	316	8	no	—
1270	C₂×C₄	—	79	1	no	—
1271	C₂×C₄	—	79	4	no	—
1272	C₂×C₄	—	79	1	no	—
1273	C₂×C₄	—	79	4	no	—
1274	C₂×C₄	—	79	16	no	—
1275	C₂×C₄	—	79	8	no	—
1276	C₂×C₄	—	79	16	no	—
1277	C₂×C₄	—	79	8	no	—
1278	C₂×C₄	—	79	8	no	—
1279	C₂×C₄	—	79	8	no	—
1280	C₂×C₄	—	79	2	no	—
1281	C₂×C₄	—	79	4	no	—
1282	C₂×C₄	—	158	4	no	—
1283	C₂×C₄	—	158	4	no	—
1284	C₂×C₄	—	158	16	no	—
1285	C₂×C₄	—	158	16	no	—
1286	C₂×C₄	—	158	8	no	—
1287	C₂×C₄	—	158	8	no	—
1288	C₂×C₄	—	158	8	no	—
1289	C₂×C₄	—	158	16	no	—
1290	C₂×C₄	—	158	8	no	—
1291	C₂×C₄	—	158	8	no	—
1292	C₂×C₄	—	158	4	no	—
1293	C₂×C₄	—	158	8	no	—
1294	C₂×C₄	—	158	4	no	—
1295	C₂×C₄	—	158	16	no	—
1296	C₂×C₄	—	158	2	no	—
1297	C₂×C₄	—	158	8	no	—
1298	C₂×C₄	—	158	8	no	—
1299	C₂×C₄	—	158	8	no	—
1300	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1301	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1302	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1303	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1304	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1305	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1306	C₂²	—	2	8	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	4	no	—
1311	C₂²	—	2	8	no	—
1312	C₂²	—	4	8	no	—
1313	C₂²	—	4	4	no	—
1314	C₂²	—	8	8	no	—
1315	C₂²	—	316	8	no	—
1316	C₂²	—	316	32	no	—
1317	C₂²	—	316	4	no	—
1318	C₂²	—	316	16	no	—
1319	C₂²	—	79	4	no	—
1320	C₂²	—	79	4	no	—
1321	C₂²	—	632	8	no	—
1322	C₂²	—	632	8	no	—
1323	C₂²	—	158	8	no	—
1324	C₂²	—	158	4	no	—
1325	C₂²	—	158	4	no	—
1326	C₂²	—	158	8	no	—
1327	C₂²	—	158	8	no	—
1328	C₂²	—	158	2	no	—
1329	C₂²	—	158	4	no	—
1330	C₂²	—	158	2	no	—
1331	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1332	C₂²	C₂²×D₄×D₇₉	1	8	yes	—
1333	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1334	C₄	—	2	2	no	—
1335	C₄	—	2	4	no	—
1336	C₄	—	2	4	no	—
1337	C₄	—	2	8	no	—
1338	C₄	—	79	2	no	—
1339	C₄	—	79	2	no	—
1340	C₄	—	79	8	no	—
1341	C₄	—	158	2	no	—
1342	C₄	—	158	4	no	—
1343	C₄	—	158	8	no	—
1344	C₄	C₂²×D₄×D₇₉	1	4	yes	—
1345	C₂	—	2	2	no	—
1346	C₂	—	2	8	no	—
1347	C₂	—	4	2	no	—
1348	C₂	—	4	4	no	—
1349	C₂	—	316	4	no	—
1350	C₂	—	316	4	no	—
1351	C₂	—	158	4	no	—
1352	C₂	—	158	4	no	—
1353	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1354	C₂	#585×D₇₉	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3485	C₂
hypercenter	#3485	D₇₉
hypocenter	C₇₉	#62811
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3485

Complements

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

N	H ≅ G/N	type
1. C₂×#19099398	C₂	semidirect
2. C₂²×#41×D₇₉	C₂	semidirect
3. #23777074	C₂	semidirect
4. #23777063	C₂	semidirect
5. #23777054	C₂	semidirect
6. #23777049	C₂	semidirect
7. #23777044	C₂	semidirect
8. #23777038	C₂	semidirect
9. #23777036	C₂	semidirect
10. #23777032	C₂	semidirect
11. #23777031	C₂	semidirect
12. #23776887	C₂	semidirect
13. #23776884	C₂	semidirect
14. #23776732	C₂	semidirect
15. #23776726	C₂	semidirect
16. C₂×#19099071	C₂	semidirect
17. #525×D₇₉	C₂	semidirect
18. #23776598	C₂	semidirect
19. C₇₉×#3485	C₂	semidirect
21. C₂×#14579208	C₂²	semidirect
22. C₂×#14579208	C₂²	semidirect
23. C₂×#14579206	C₂²	semidirect
24. C₂×#14579206	C₂²	semidirect
25. C₂×#14579206	C₂²	semidirect
26. C₂²×#11929625	C₂²	semidirect
27. C₂²×#11929624	C₂²	semidirect
28. C₂²×#11929624	C₂²	semidirect
30. C₂²×#11929623	C₂²	semidirect
31. C₂²×#11929623	C₂²	semidirect
32. C₂²×#11929623	C₂²	semidirect
34. C₂×#41×D₇₉	C₂²	semidirect
35. C₂×#41×D₇₉	C₂²	semidirect
36. C₂×#41×D₇₉	C₂²	semidirect
37. C₂×#41×D₇₉	C₂²	semidirect
38. C₂²×Q₈×D₇₉	C₂²	semidirect
39. C₂²×D₄×D₇₉	C₂²	semidirect
40. C₂²×D₄×D₇₉	C₂²	semidirect
41. C₂³×C₄×D₇₉	C₂²	semidirect
42. C₂³×C₄×D₇₉	C₂²	semidirect
43. #19099234	C₂²	semidirect
44. #19099231	C₂²	semidirect
45. #19099228	C₂²	semidirect
46. #19099226	C₂²	semidirect
47. #19099223	C₂²	semidirect
48. #19099223	C₂²	semidirect
49. #19099222	C₂²	semidirect
50. #19099221	C₂²	semidirect
51. #19099214	C₂²	semidirect
52. #19099212	C₂²	semidirect
53. #19099211	C₂²	semidirect
54. #19099208	C₂²	semidirect
55. #19099205	C₂²	semidirect
56. #19099205	C₂²	semidirect
57. #19099203	C₂²	semidirect
58. #19099202	C₂²	semidirect
59. #19099201	C₂²	semidirect
60. #19099201	C₂²	semidirect
61. D₄×D₃₁₆	C₂²	semidirect
62. #19099197	C₂²	semidirect
63. D₄×C₂²⋊D₇₉	C₂²	semidirect
64. #19099195	C₂²	semidirect
65. #19099143	C₂²	semidirect
66. #19099140	C₂²	semidirect
67. #19099138	C₂²	semidirect
68. #19099137	C₂²	semidirect
69. #19099135	C₂²	semidirect
70. #19099135	C₂²	semidirect
71. #19099132	C₂²	semidirect
72. #19099131	C₂²	semidirect
73. #19099128	C₂²	semidirect
74. #19099128	C₂²	semidirect
75. #19099127	C₂²	semidirect
76. #19099125	C₂²	semidirect
77. #19099124	C₂²	semidirect
78. #19099122	C₂²	semidirect
79. #19099122	C₂²	semidirect
80. #19099114	C₂²	semidirect
81. #19099112	C₂²	semidirect
82. #19099108	C₂²	semidirect
83. #19099076	C₂²	semidirect
84. #19099076	C₂²	semidirect
85. #19099075	C₂²	semidirect
86. #19099074	C₂²	semidirect
87. #19099073	C₂²	semidirect
88. #19099072	C₂²	semidirect
89. #19099071	C₂²	semidirect
90. #19099071	C₂²	semidirect
91. #19099071	C₂²	semidirect
92. #19099071	C₂²	semidirect
93. #19099071	C₂²	semidirect
94. #19099071	C₂²	semidirect
95. #19099071	C₂²	semidirect
96. #19099070	C₂²	semidirect
97. #19099069	C₂²	semidirect
98. #19099069	C₂²	semidirect
99. C₂×#14579144	C₂²	semidirect
100. #123×D₇₉	C₂²	semidirect
101. C₂×#14579139	C₂²	semidirect
102. C₂²⋊Q₈×D₇₉	C₂²	semidirect
103. C₂×#14579134	C₂²	semidirect
104. #121×D₇₉	C₂²	semidirect
105. C₂×#14579131	C₂²	semidirect
106. C₂×#14579129	C₂²	semidirect
107. #120×D₇₉	C₂²	semidirect
108. #19099042	C₂²	semidirect
109. #19099040	C₂²	semidirect
110. #19099038	C₂²	semidirect
111. #19099036	C₂²	semidirect
112. C₄×#11929623	C₂²	semidirect
113. C₂×#14579123	C₂²	semidirect
114. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
115. C₄×D₄×D₇₉	C₂²	semidirect
116. C₂×#14579117	C₂²	semidirect
117. #117×D₇₉	C₂²	semidirect
118. C₂×H(5,𝔽₂)×C₇₉	C₂²	semidirect
119. C₂²×#41×C₇₉	C₂²	semidirect
120. #547×C₇₉	C₂²	semidirect
121. #546×C₇₉	C₂²	semidirect
122. #536×C₇₉	C₂²	semidirect
123. #534×C₇₉	C₂²	semidirect
124. #525×C₇₉	C₂²	semidirect
125. C₂×#123×C₇₉	C₂²	semidirect
126. #518×C₇₉	C₂²	semidirect
137. C₂×#11929625	C₂³	semidirect
143. C₂×#11929624	C₂³	semidirect
144. C₂×#11929624	C₂³	semidirect
145. C₂×#11929624	C₂³	semidirect
149. C₂×#11929623	D₄	semidirect
156. C₂×#11929623	C₂³	semidirect
157. C₂×#11929623	C₂³	semidirect
158. C₂×#11929623	C₂³	semidirect
159. C₂×#11929623	C₂³	semidirect
160. C₂×#11929623	C₂³	semidirect
161. C₂×#11929623	C₂³	semidirect
168. C₂²×Dic₁₅₈	C₂³	semidirect
169. C₂²×Dic₁₅₈	C₂³	semidirect
172. C₂×Q₈×D₇₉	C₂³	semidirect
173. C₂×Q₈×D₇₉	C₂³	semidirect
182. C₂²×C₂²⋊D₇₉	C₂³	semidirect
183. C₂²×C₂²⋊D₇₉	C₂³	semidirect
190. C₂×D₄×D₇₉	C₂³	semidirect
191. C₂×D₄×D₇₉	C₂³	semidirect
192. C₂×D₄×D₇₉	C₂³	semidirect
195. C₂³×Dic₇₉	C₂³	semidirect
209. C₂²×C₄×D₇₉	C₂³	semidirect
210. C₂²×C₄×D₇₉	C₂³	semidirect
211. #14579160	C₂³	semidirect
212. #14579159	C₂³	semidirect
213. #14579158	C₂³	semidirect
214. #14579157	C₂³	semidirect
215. #14579157	C₂³	semidirect
216. #14579150	C₂³	semidirect
217. #14579150	C₂³	semidirect
218. #14579149	C₂³	semidirect
219. #14579147	C₂³	semidirect
220. #14579147	C₂³	semidirect
221. #14579146	C₂³	semidirect
222. #14579146	C₂³	semidirect
224. #14579145	C₂³	semidirect
227. #14579144	C₂³	semidirect
228. #14579144	C₂³	semidirect
229. #14579143	C₂³	semidirect
231. #14579142	C₂³	semidirect
233. #14579140	C₂³	semidirect
236. #14579139	C₂³	semidirect
237. #14579139	C₂³	semidirect
238. #14579139	C₂³	semidirect
239. #14579138	C₂³	semidirect
240. #14579138	C₂³	semidirect
242. #14579137	C₂³	semidirect
244. #14579136	C₂³	semidirect
245. #14579136	C₂³	semidirect
246. #14579135	C₂³	semidirect
247. #14579135	C₂³	semidirect
248. #14579135	C₂³	semidirect
251. #14579134	C₂³	semidirect
252. #14579134	C₂³	semidirect
253. #14579134	C₂³	semidirect
254. #14579134	C₂³	semidirect
255. #14579133	C₂³	semidirect
256. #14579133	C₂³	semidirect
257. #14579133	C₂³	semidirect
258. #14579133	C₂³	semidirect
264. #14579131	C₂³	semidirect
265. #14579131	C₂³	semidirect
267. #14579130	C₂³	semidirect
272. #14579129	C₂³	semidirect
273. C₄×Dic₁₅₈	C₂³	semidirect
274. #14579126	C₂³	semidirect
276. D₄×Dic₇₉	C₂³	semidirect
277. D₄×Dic₇₉	C₂³	semidirect
280. #14579123	C₂³	semidirect
281. #14579123	C₂³	semidirect
283. C₄×C₂²⋊D₇₉	C₂³	semidirect
284. C₄×C₂²⋊D₇₉	C₂³	semidirect
287. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
288. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
289. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
290. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
292. #14579119	C₂³	semidirect
293. #14579118	C₂³	semidirect
296. #14579117	C₂³	semidirect
297. #14579117	C₂³	semidirect
298. C₂×Dic₇₉⋊C₄	C₂³	semidirect
299. C₂×Dic₇₉⋊C₄	C₂³	semidirect
300. C₄⋊C₄×D₇₉	C₂³	semidirect
301. C₄⋊C₄×D₇₉	C₂³	semidirect
305. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
308. C₂²⋊C₄×D₇₉	C₂³	semidirect
309. C₂×C₄×Dic₇₉	C₂³	semidirect
310. C₄²×D₇₉	C₂³	semidirect
315. C₂×#41×C₇₉	C₂³	semidirect
320. C₂²×D₄×C₇₉	C₂³	semidirect
323. C₄⋊Q₈×C₇₉	C₂³	semidirect
324. #124×C₇₉	C₂³	semidirect
327. #123×C₇₉	C₂³	semidirect
328. #123×C₇₉	C₂³	semidirect
329. C₂²⋊Q₈×C₇₉	C₂³	semidirect
330. C₂²⋊Q₈×C₇₉	C₂³	semidirect
331. #121×C₇₉	C₂³	semidirect
332. #121×C₇₉	C₂³	semidirect
334. #120×C₇₉	C₂³	semidirect
335. C₄×D₄×C₇₉	C₂³	semidirect
336. C₄×D₄×C₇₉	C₂³	semidirect
338. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
340. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
371. #11929623	C₂×D₄	semidirect
372. #11929623	C₂×D₄	semidirect
376. C₂×Dic₁₅₈	C₂×D₄	semidirect
400. C₂×C₂²⋊D₇₉	C₂×D₄	semidirect
421. C₂²×Dic₇₉	C₂×D₄	semidirect
445. C₂×C₄×D₇₉	C₂×D₄	semidirect
495. C₂×D₄×C₇₉	C₂×D₄	semidirect
655. C₂×D₇₉	#585	semidirect
686. #3485	D₇₉	semidirect
697. C₇₉	#62811	semidirect
704. C₂×H(5,𝔽₂)	C₂×D₇₉	semidirect
717. C₂²×#41	C₂×D₇₉	semidirect
734. #547	C₂×D₇₉	semidirect
742. #546	C₂×D₇₉	semidirect
753. #536	C₂×D₇₉	semidirect
763. #534	C₂×D₇₉	semidirect
783. #525	C₂×D₇₉	semidirect
786. C₂×#123	C₂×D₇₉	semidirect
798. #518	C₂×D₇₉	semidirect
848. C₂×#41	C₂²×D₇₉	semidirect
880. C₂²×D₄	C₂²×D₇₉	semidirect
903. C₄⋊Q₈	C₂²×D₇₉	semidirect
912. #124	C₂²×D₇₉	semidirect
926. #123	C₂²×D₇₉	semidirect
927. #123	C₂²×D₇₉	semidirect
939. C₂²⋊Q₈	C₂²×D₇₉	semidirect
940. C₂²⋊Q₈	C₂²×D₇₉	semidirect
958. #121	C₂²×D₇₉	semidirect
959. #121	C₂²×D₇₉	semidirect
974. #120	C₂²×D₇₉	semidirect
993. C₄×D₄	C₂²×D₇₉	semidirect
994. C₄×D₄	C₂²×D₇₉	semidirect
1007. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1016. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1109. C₂×D₄	D₄×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099398	2
C₂²×#41×D₇₉	2
#23777074	2
#23777063	2
#23777054	2
#23777049	2
#23777044	2
#23777038	2
#23777036	2
#23777032	2
#23777031	2
#23776887	2
#23776884	2
#23776732	2
#23776726	2
C₂×#19099071	2
#525×D₇₉	2
#23776598	2
C₇₉×#3485	2
#62811	79