Subgroups — #25973965

Order 11008.

2106 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148330	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148275	C₂	1	1	yes	maximal, characteristic, complemented
3	#19146777	C₂	1	2	yes	maximal, complemented
4	#19146762	C₂	1	2	yes	maximal, complemented
5	#19146567	C₂	1	2	yes	maximal, complemented
6	#19146552	C₂	1	2	yes	maximal, complemented
7	#19146519	C₂	1	2	yes	maximal, complemented
8	#19146498	C₂	1	2	yes	maximal, complemented
9	#19146456	C₂	1	2	yes	maximal, complemented
10	#19146441	C₂	1	2	yes	maximal, complemented
11	#19144964	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144582	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144543	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144455	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144278	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583128	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144110	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143884	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143847	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143430	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143289	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143124	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063372	C₂²	1	1	yes	characteristic
25	C₂×#13063350	C₂²	1	1	yes	characteristic
26	C₂×#13063350	C₂²	1	1	yes	characteristic
27	C₂²×#10621873	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13063331	C₂²	1	1	yes	characteristic, complemented
29	#14583612	C₂²	1	2	yes	complemented
30	#14583597	C₂²	1	2	yes	—
31	#14583593	C₂²	1	2	yes	complemented
32	#14583573	—	2	2	no	—
33	Q₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
34	#14583556	C₂²	1	2	yes	complemented
35	#14583550	C₂²	1	2	yes	—
36	#14583548	—	2	2	no	—
37	#14583548	C₂²	1	2	yes	complemented
38	#14583543	—	2	2	no	—
39	#14583543	C₂²	1	2	yes	complemented
40	#14583539	—	2	2	no	—
41	#14583527	C₂²	1	1	yes	characteristic, complemented
42	#14583520	—	2	1	no	—
43	#14583504	—	2	1	no	—
44	#14583477	—	2	1	no	—
45	#14583477	C₂²	1	1	yes	characteristic
46	#14583470	—	2	1	no	—
47	#14583470	C₂²	1	1	yes	characteristic
48	#14583468	C₂²	1	1	yes	characteristic, complemented
49	#14583449	—	2	1	no	—
50	#14583433	—	2	1	no	—
51	#14583410	—	2	1	no	—
52	#14583410	C₂²	1	1	yes	characteristic
53	C₂×#13063304	—	2	1	no	—
54	C₂×#13063304	C₂²	1	1	yes	characteristic
55	C₂×#13063299	C₂²	1	1	yes	characteristic
56	#14583382	C₂²	1	1	yes	characteristic
57	#14583379	C₂²	1	1	yes	characteristic, complemented
58	#14583373	C₂²	1	1	yes	characteristic, complemented
59	#14583266	C₂²	1	2	yes	complemented
60	#14583257	C₂²	1	2	yes	complemented
61	#14583252	C₂²	1	2	yes	complemented
62	#14583248	C₂²	1	2	yes	complemented
63	#14583240	C₂²	1	2	yes	complemented
64	#14583240	C₂²	1	2	yes	complemented
65	#14583238	C₂²	1	2	yes	complemented
66	#14583234	C₂²	1	2	yes	complemented
67	#14583229	C₂²	1	2	yes	complemented
68	#14583228	C₂²	1	2	yes	complemented
69	#14583222	C₂²	1	2	yes	complemented
70	#14583216	C₂²	1	2	yes	complemented
71	#14583204	C₂²	1	2	yes	complemented
72	#14583201	C₂²	1	2	yes	complemented
73	#14583187	C₂²	1	2	yes	complemented
74	#14583182	C₂²	1	2	yes	complemented
75	#14583151	C₂²	1	2	yes	complemented
76	#14583148	C₂²	1	2	yes	complemented
77	#14583134	C₂²	1	2	yes	complemented
78	#14583131	C₂²	1	2	yes	complemented
79	#14583128	C₂²	1	2	yes	—
80	#14583128	C₂²	1	2	yes	—
81	#14583128	C₂²	1	2	yes	complemented
82	#14583128	C₂²	1	2	yes	complemented
83	#14583113	C₂²	1	2	yes	complemented
84	#14583113	C₂²	1	2	yes	complemented
85	#14583103	C₂²	1	2	yes	complemented
86	#14583103	C₂²	1	2	yes	complemented
87	#14583045	C₂²	1	2	yes	complemented
88	#14583045	C₂²	1	2	yes	complemented
89	#14583044	C₂²	1	2	yes	—
90	#14583044	C₂²	1	2	yes	—
91	#14583039	C₂²	1	2	yes	complemented
92	#14583039	C₂²	1	2	yes	complemented
93	#14583038	C₂²	1	2	yes	—
94	#14583033	C₂²	1	2	yes	—
95	#14583008	C₂²	1	2	yes	complemented
96	#14583002	C₂²	1	2	yes	complemented
97	#14582984	C₂²	1	2	yes	complemented
98	#14582979	C₂²	1	2	yes	complemented
99	#14582970	C₂²	1	2	yes	complemented
100	#14582970	C₂²	1	2	yes	complemented
101	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
102	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
103	#14582942	C₂²	1	1	yes	characteristic, complemented
104	#14582942	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13063257	C₂²	1	1	yes	characteristic, complemented
106	#14582925	C₂²	1	1	yes	characteristic, complemented
107	#14582907	C₂²	1	1	yes	characteristic, complemented
108	#14582907	C₂²	1	1	yes	characteristic, complemented
109	#14582906	C₂²	1	2	yes	complemented
110	#14582900	C₂²	1	1	yes	characteristic
111	#14582900	C₂²	1	1	yes	characteristic
112	#14582897	C₂²	1	2	yes	complemented
113	#14582892	C₂²	1	2	yes	complemented
114	C₂×#13063250	C₂²	1	1	yes	characteristic, complemented
115	#103×D₄₃	C₂²	1	2	yes	complemented
116	C₂×#13063247	C₂²	1	1	yes	characteristic, complemented
117	#14582865	C₂²	1	1	yes	characteristic, complemented
118	#14582863	C₂²	1	1	yes	characteristic
119	#14582854	C₂²	1	1	yes	characteristic, complemented
120	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
121	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
122	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
123	C₄₃×#416	C₂²	1	1	yes	characteristic
124	C₄₃×#416	C₂²	1	1	yes	characteristic
125	C₄₃×#416	C₂²	1	1	yes	characteristic
126	C₄₃×#416	C₂²	1	1	yes	characteristic
127	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
131	C₂×#103×C₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₂×#103×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic, complemented
135	#13063372	—	2	4	no	—
136	#13063372	—	4	2	no	—
137	C₂×#10621898	—	2	2	no	—
138	C₂×#10621898	—	2	1	no	—
139	C₂×#10621898	C₂³	1	1	yes	characteristic
140	C₂×#10621900	—	2	2	no	—
141	C₂×#10621900	C₂³	1	2	yes	—
142	C₂²×Dic₈₆	—	2	1	no	—
143	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
144	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
145	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
146	C₂²×C₂²⋊D₄₃	—	2	1	no	—
147	#13063350	—	2	4	no	—
148	#13063350	—	4	2	no	—
149	C₂×#10621873	—	4	2	no	—
150	C₂×#10621873	C₂³	1	2	yes	—
151	C₂×#10621873	C₂³	1	2	yes	—
152	C₂×#10621884	C₂³	1	2	yes	—
153	C₂×#10621884	C₂³	1	2	yes	—
154	C₂×#10621882	C₂³	1	2	yes	—
155	C₂×#10621882	C₂³	1	2	yes	—
156	#13063331	—	4	2	no	—
157	C₂×#10621877	C₂³	1	1	yes	characteristic
158	C₂×#10621877	C₂³	1	1	yes	characteristic
159	C₂×#10621872	C₂³	1	2	yes	—
160	C₂×C₈×D₄₃	C₂³	1	2	yes	—
161	#13063325	—	2	1	no	—
162	#13063324	C₂³	1	2	yes	—
163	#13063323	—	2	2	no	—
164	#13063323	C₂³	1	2	yes	—
165	#13063322	—	2	1	no	—
166	#13063320	—	2	2	no	—
167	#13063319	—	2	2	no	—
168	#13063317	—	2	1	no	—
169	#13063316	C₂³	1	2	yes	—
170	#13063313	—	2	1	no	—
171	#13063313	—	2	2	no	—
172	#13063312	—	2	2	no	—
173	#13063312	C₂³	1	2	yes	—
174	#13063311	—	2	2	no	—
175	#13063310	—	2	2	no	—
176	#13063310	—	2	2	no	—
177	#13063308	—	2	2	no	—
178	#13063308	—	2	2	no	—
179	#13063308	D₄	1	2	yes	—
180	#13063307	—	2	2	no	—
181	#13063306	—	2	2	no	—
182	#13063306	—	2	2	no	—
183	#13063306	—	2	2	no	—
184	#13063304	—	2	1	no	—
185	#13063304	—	2	1	no	—
186	#13063304	—	2	1	no	—
187	#13063304	—	2	2	no	—
188	#13063304	—	2	1	no	—
189	#13063304	—	2	1	no	—
190	#13063304	—	2	2	no	—
191	#13063304	D₄	1	1	yes	characteristic
192	#13063304	D₄	1	1	yes	characteristic
193	#13063304	C₂³	1	2	yes	—
194	#13063304	C₂³	1	2	yes	—
195	#13063303	—	2	2	no	—
196	#13063302	—	2	2	no	—
197	#13063301	—	2	2	no	—
198	#13063301	C₂³	1	2	yes	—
199	#13063300	C₂³	1	2	yes	—
200	#13063300	C₂³	1	2	yes	—
201	#13063299	—	2	1	no	—
202	#13063299	—	2	1	no	—
203	#13063299	—	2	2	no	—
204	#13063299	—	2	1	no	—
205	#13063299	D₄	1	1	yes	characteristic
206	#13063299	D₄	1	1	yes	characteristic
207	#13063299	C₂³	1	2	yes	—
208	#13063299	C₂³	1	2	yes	—
209	#13063298	—	2	2	no	—
210	#13063298	—	2	2	no	—
211	#13063297	—	2	2	no	—
212	#13063297	—	2	2	no	—
213	#13063297	—	2	2	no	—
214	#13063296	—	2	2	no	—
215	#13063296	C₂³	1	2	yes	—
216	#13063295	—	2	2	no	—
217	#13063294	—	2	2	no	—
218	#13063294	D₄	1	2	yes	—
219	Q₈×Dic₄₃	C₂³	1	2	yes	—
220	C₄×Dic₈₆	—	2	1	no	—
221	C₄×D₁₇₂	—	2	1	no	—
222	C₄×D₁₇₂	—	2	2	no	—
223	C₄×D₁₇₂	—	2	1	no	—
224	C₄×D₁₇₂	—	2	1	no	—
225	D₄×Dic₄₃	—	2	2	no	—
226	D₄×Dic₄₃	C₂³	1	2	yes	—
227	#13063287	C₂³	1	2	yes	—
228	#13063287	C₂³	1	2	yes	—
229	C₄×C₂²⋊D₄₃	—	2	2	no	—
230	C₄×C₂²⋊D₄₃	—	2	2	no	—
231	C₄×C₂²⋊D₄₃	—	2	2	no	—
232	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
233	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
234	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
235	#13063284	—	2	1	no	—
236	#13063284	C₂³	1	1	yes	characteristic
237	#13063283	C₂³	1	2	yes	—
238	#13063282	—	2	2	no	—
239	C₂×C₄⋊Dic₄₃	—	2	1	no	—
240	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₃⋊C₄	—	2	1	no	—
243	C₂×Dic₄₃⋊C₄	—	2	2	no	—
244	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
245	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
246	C₂×C₂²⋊Dic₄₃	—	2	2	no	—
247	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
248	C₂²⋊C₄×D₄₃	—	2	2	no	—
249	#13063258	C₂³	1	2	yes	—
250	#13063258	C₂³	1	2	yes	—
251	#13063257	C₂³	1	2	yes	—
252	#13063257	C₂³	1	2	yes	—
253	#13063256	C₂³	1	2	yes	—
254	#13063256	C₂³	1	2	yes	—
255	Dic₄₃⋊C₈	C₂³	1	2	yes	—
256	Dic₄₃⋊C₈	C₂³	1	2	yes	—
257	#13063250	C₂³	1	2	yes	—
258	#13063250	C₂³	1	2	yes	—
259	#13063249	C₂³	1	2	yes	—
260	#13063249	C₂³	1	2	yes	—
261	#13063248	C₂³	1	2	yes	—
262	#13063248	C₂³	1	2	yes	—
263	#13063248	C₂³	1	2	yes	—
264	#13063248	C₂³	1	2	yes	—
265	#13063247	C₂³	1	2	yes	—
266	#13063247	C₂³	1	2	yes	—
267	#13063246	C₂³	1	2	yes	—
268	#13063246	C₂³	1	2	yes	—
269	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
271	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
273	#13063235	C₂³	1	2	yes	—
274	C₈×Dic₄₃	C₂³	1	2	yes	—
275	C₂×#41×C₄₃	—	2	1	no	—
276	C₂×#41×C₄₃	—	2	1	no	—
277	C₂×#41×C₄₃	—	2	4	no	—
278	C₂×#41×C₄₃	—	4	2	no	—
279	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
280	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
281	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
282	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
283	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₂²×D₄×C₄₃	—	2	1	no	—
285	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₄₃	—	2	1	no	—
287	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
288	C₂²×C₈×C₄₃	—	4	2	no	—
289	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
291	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
292	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
293	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
294	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
295	#117×C₄₃	—	2	1	no	—
296	#117×C₄₃	—	2	1	no	—
297	#117×C₄₃	C₂³	1	1	yes	characteristic
298	#117×C₄₃	C₂³	1	1	yes	characteristic
299	#117×C₄₃	C₂³	1	1	yes	characteristic
300	#117×C₄₃	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
304	C₂×C₄²×C₄₃	—	2	1	no	—
305	#103×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#103×C₄₃	C₂³	1	1	yes	characteristic
308	#103×C₄₃	C₂³	1	1	yes	characteristic
309	#103×C₄₃	C₂³	1	1	yes	characteristic
310	#103×C₄₃	C₂³	1	1	yes	characteristic
311	#103×C₄₃	C₂³	1	1	yes	characteristic
312	#103×C₄₃	C₂³	1	1	yes	characteristic
313	#102×C₄₃	C₂³	1	1	yes	characteristic
314	#102×C₄₃	C₂³	1	1	yes	characteristic
315	#102×C₄₃	C₂³	1	1	yes	characteristic
316	#102×C₄₃	C₂³	1	1	yes	characteristic
317	#102×C₄₃	C₂³	1	1	yes	characteristic
318	#102×C₄₃	C₂³	1	1	yes	characteristic
319	#102×C₄₃	C₂³	1	1	yes	characteristic
320	#102×C₄₃	C₂³	1	1	yes	characteristic
321	C₂⁴×C₄₃	—	2	1	no	—
322	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
323	C₂³×D₄₃	—	2	1	no	—
324	#41×C₄₃	—	2	2	no	—
325	#41×C₄₃	—	2	2	no	—
326	#41×C₄₃	—	2	2	no	—
327	#41×C₄₃	—	2	2	no	—
328	#41×C₄₃	—	2	2	no	—
329	#41×C₄₃	—	4	4	no	—
330	#41×C₄₃	—	4	1	no	—
331	#41×C₄₃	—	4	1	no	—
332	#41×C₄₃	—	4	4	no	—
333	#41×C₄₃	#41	1	4	yes	complemented
334	C₂×Q₈×C₄₃	—	2	1	no	—
335	C₂×Q₈×C₄₃	—	2	2	no	—
336	C₂×Q₈×C₄₃	—	4	1	no	—
337	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
338	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₄₃	—	2	1	no	—
340	C₂×D₄×C₄₃	—	2	1	no	—
341	C₂×D₄×C₄₃	—	2	1	no	—
342	C₂×D₄×C₄₃	—	2	1	no	—
343	C₂×D₄×C₄₃	—	2	1	no	—
344	C₂×D₄×C₄₃	—	2	2	no	—
345	C₂×D₄×C₄₃	—	4	4	no	—
346	C₂×D₄×C₄₃	—	4	1	no	—
347	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₄₃	—	2	1	no	—
350	C₂²×C₄×C₄₃	—	2	2	no	—
351	C₂²×C₄×C₄₃	—	2	2	no	—
352	C₂²×C₄×C₄₃	—	2	1	no	—
353	C₂²×C₄×C₄₃	—	2	1	no	—
354	C₂²×C₄×C₄₃	—	2	1	no	—
355	C₂²×C₄×C₄₃	—	2	1	no	—
356	C₂²×C₄×C₄₃	—	2	1	no	—
357	C₂²×C₄×C₄₃	—	2	1	no	—
358	C₂²×C₄×C₄₃	—	4	4	no	—
359	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₂²⋊D₄₃	—	2	2	no	—
366	C₂×C₂²⋊D₄₃	—	2	2	no	—
367	C₂×C₂²⋊D₄₃	—	2	2	no	—
368	C₂×C₂²⋊D₄₃	—	2	2	no	—
369	C₂×C₂²⋊D₄₃	—	8	2	no	—
370	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
371	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
372	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
373	C₂²×Dic₄₃	—	2	2	no	—
374	C₂²×Dic₄₃	—	2	2	no	—
375	C₂²×Dic₄₃	—	2	1	no	—
376	C₂²×Dic₄₃	—	2	1	no	—
377	C₂²×Dic₄₃	—	2	1	no	—
378	Q₈×D₄₃	—	2	4	no	—
379	Q₈×D₄₃	—	4	2	no	—
380	#10621900	—	2	4	no	—
381	#10621900	—	4	2	no	—
382	#10621900	—	4	8	no	—
383	#10621898	—	2	2	no	—
384	#10621898	—	2	2	no	—
385	#10621898	—	4	4	no	—
386	#10621898	—	8	4	no	—
387	C₂×D₁₇₂	—	2	1	no	—
388	C₂×D₁₇₂	—	2	2	no	—
389	C₂×D₁₇₂	—	2	2	no	—
390	C₂×D₁₇₂	—	2	2	no	—
391	C₂×D₁₇₂	—	2	2	no	—
392	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
393	C₂×D₁₇₂	C₂⁴	1	2	yes	—
394	C₂×C₄×D₄₃	—	2	2	no	—
395	C₂×C₄×D₄₃	—	2	2	no	—
396	C₂×C₄×D₄₃	—	2	2	no	—
397	C₂×C₄×D₄₃	—	2	2	no	—
398	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
399	C₂×Dic₈₆	—	2	2	no	—
400	C₂×Dic₈₆	—	2	2	no	—
401	C₂×Dic₈₆	—	2	1	no	—
402	C₂×Dic₈₆	—	2	2	no	—
403	C₂×Dic₈₆	—	2	2	no	—
404	C₂×Dic₈₆	—	4	4	no	—
405	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
406	C₂×Dic₈₆	C₂⁴	1	2	yes	—
407	C₂×C₈×C₄₃	—	2	2	no	—
408	C₂×C₈×C₄₃	—	2	2	no	—
409	C₂×C₈×C₄₃	—	4	1	no	—
410	C₂×C₈×C₄₃	—	4	1	no	—
411	C₂×C₈×C₄₃	—	4	1	no	—
412	C₂×C₈×C₄₃	—	4	1	no	—
413	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
415	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
416	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₄⋊C₄×C₄₃	—	2	1	no	—
418	C₄⋊C₄×C₄₃	—	2	1	no	—
419	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
420	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
421	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²⋊C₄×C₄₃	—	2	1	no	—
424	C₂²⋊C₄×C₄₃	—	2	1	no	—
425	C₂²⋊C₄×C₄₃	—	2	1	no	—
426	C₂²⋊C₄×C₄₃	—	2	1	no	—
427	C₄²×C₄₃	—	2	1	no	—
428	C₄²×C₄₃	—	2	1	no	—
429	C₄²×C₄₃	—	2	1	no	—
430	C₄²×C₄₃	—	2	1	no	—
431	C₂²⋊Dic₄₃	—	2	2	no	—
432	C₂²⋊Dic₄₃	—	2	2	no	—
433	C₂²⋊Dic₄₃	—	2	2	no	—
434	C₂²⋊Dic₄₃	—	2	2	no	—
435	C₂²⋊Dic₄₃	—	2	2	no	—
436	C₂²⋊Dic₄₃	—	2	2	no	—
437	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
438	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
439	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
440	#10621884	—	2	4	no	—
441	#10621884	—	4	2	no	—
442	#10621882	—	2	4	no	—
443	#10621882	—	4	2	no	—
444	(C₂×D₄₃)⋊C₄	—	2	2	no	—
445	(C₂×D₄₃)⋊C₄	—	2	2	no	—
446	(C₂×D₄₃)⋊C₄	—	2	2	no	—
447	(C₂×D₄₃)⋊C₄	—	2	2	no	—
448	(C₂×D₄₃)⋊C₄	—	2	2	no	—
449	(C₂×D₄₃)⋊C₄	—	2	2	no	—
450	(C₂×D₄₃)⋊C₄	—	2	2	no	—
451	(C₂×D₄₃)⋊C₄	—	2	2	no	—
452	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
453	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
454	C₄⋊Dic₄₃	—	2	1	no	—
455	C₄⋊Dic₄₃	—	2	1	no	—
456	C₄⋊Dic₄₃	—	2	2	no	—
457	C₄⋊Dic₄₃	—	2	2	no	—
458	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
459	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
460	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
461	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
462	Dic₄₃⋊C₄	—	2	2	no	—
463	Dic₄₃⋊C₄	—	2	2	no	—
464	Dic₄₃⋊C₄	—	2	2	no	—
465	Dic₄₃⋊C₄	—	2	2	no	—
466	Dic₄₃⋊C₄	—	2	2	no	—
467	Dic₄₃⋊C₄	—	2	2	no	—
468	Dic₄₃⋊C₄	—	2	2	no	—
469	Dic₄₃⋊C₄	—	2	2	no	—
470	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
471	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
472	C₄×Dic₄₃	—	2	2	no	—
473	C₄×Dic₄₃	—	2	2	no	—
474	C₄×Dic₄₃	C₂⁴	1	2	yes	—
475	#10621877	—	2	2	no	—
476	#10621877	—	2	2	no	—
477	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
478	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
479	#10621873	—	4	2	no	—
480	#10621873	—	4	2	no	—
481	#10621872	—	4	2	no	—
482	C₈×D₄₃	—	4	2	no	—
483	C₂³×C₄₃	—	2	2	no	—
484	C₂³×C₄₃	—	2	2	no	—
485	C₂³×C₄₃	—	2	1	no	—
486	C₂³×C₄₃	—	2	1	no	—
487	C₂³×C₄₃	—	4	1	no	—
488	C₂³×C₄₃	—	4	2	no	—
489	C₂³×C₄₃	—	4	2	no	—
490	C₂³×C₄₃	—	8	1	no	—
491	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
492	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
493	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
494	C₂²×D₄₃	—	2	2	no	—
495	C₂²×D₄₃	—	4	2	no	—
496	C₂²×D₄₃	—	8	1	no	—
497	C₂²×D₄₃	—	8	1	no	—
498	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
499	Q₈×C₄₃	—	2	1	no	—
500	Q₈×C₄₃	—	2	1	no	—
501	Q₈×C₄₃	—	2	1	no	—
502	Q₈×C₄₃	—	4	2	no	—
503	Q₈×C₄₃	C₂×#41	1	2	yes	—
504	D₄×C₄₃	—	2	4	no	—
505	D₄×C₄₃	—	2	1	no	—
506	D₄×C₄₃	—	2	1	no	—
507	D₄×C₄₃	—	2	1	no	—
508	D₄×C₄₃	—	4	2	no	—
509	D₄×C₄₃	—	4	2	no	—
510	D₄×C₄₃	—	4	2	no	—
511	D₄×C₄₃	—	4	2	no	—
512	D₄×C₄₃	C₂×#41	1	2	yes	—
513	C₂×C₄×C₄₃	—	2	2	no	—
514	C₂×C₄×C₄₃	—	2	1	no	—
515	C₂×C₄×C₄₃	—	2	4	no	—
516	C₂×C₄×C₄₃	—	2	2	no	—
517	C₂×C₄×C₄₃	—	2	2	no	—
518	C₂×C₄×C₄₃	—	2	1	no	—
519	C₂×C₄×C₄₃	—	2	1	no	—
520	C₂×C₄×C₄₃	—	2	1	no	—
521	C₂×C₄×C₄₃	—	2	1	no	—
522	C₂×C₄×C₄₃	—	2	1	no	—
523	C₂×C₄×C₄₃	—	2	1	no	—
524	C₂×C₄×C₄₃	—	2	1	no	—
525	C₂×C₄×C₄₃	—	2	1	no	—
526	C₂×C₄×C₄₃	—	2	1	no	—
527	C₂×C₄×C₄₃	—	4	2	no	—
528	C₂×C₄×C₄₃	—	4	2	no	—
529	C₂×C₄×C₄₃	—	4	2	no	—
530	C₂×C₄×C₄₃	—	4	2	no	—
531	C₂×C₄×C₄₃	—	4	2	no	—
532	C₂×C₄×C₄₃	—	8	1	no	—
533	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
537	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
538	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
539	C₂²⋊D₄₃	—	2	4	no	—
540	C₂²⋊D₄₃	—	2	4	no	—
541	C₂²⋊D₄₃	—	4	2	no	—
542	C₂²⋊D₄₃	—	4	4	no	—
543	C₂²⋊D₄₃	—	4	4	no	—
544	C₂²⋊D₄₃	—	8	2	no	—
545	C₂²⋊D₄₃	—	8	2	no	—
546	C₂×Dic₄₃	—	2	2	no	—
547	C₂×Dic₄₃	—	2	2	no	—
548	C₂×Dic₄₃	—	2	2	no	—
549	C₂×Dic₄₃	—	4	4	no	—
550	C₂×Dic₄₃	—	4	2	no	—
551	C₂×Dic₄₃	—	8	2	no	—
552	C₂×Dic₄₃	—	8	1	no	—
553	C₂×Dic₄₃	—	8	1	no	—
554	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
555	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
556	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
557	D₁₇₂	—	2	2	no	—
558	D₁₇₂	—	2	2	no	—
559	D₁₇₂	—	2	2	no	—
560	D₁₇₂	—	4	2	no	—
561	D₁₇₂	—	8	2	no	—
562	D₁₇₂	—	8	2	no	—
563	C₄×D₄₃	—	2	2	no	—
564	C₄×D₄₃	—	2	2	no	—
565	C₄×D₄₃	—	4	4	no	—
566	C₄×D₄₃	—	8	2	no	—
567	C₄×D₄₃	—	8	2	no	—
568	C₄×D₄₃	—	8	2	no	—
569	Dic₈₆	—	2	2	no	—
570	Dic₈₆	—	2	2	no	—
571	Dic₈₆	—	2	2	no	—
572	Dic₈₆	—	4	4	no	—
573	Dic₈₆	—	4	2	no	—
574	Dic₈₆	—	8	2	no	—
575	C₈×C₄₃	—	2	1	no	—
576	C₈×C₄₃	—	2	1	no	—
577	C₈×C₄₃	—	2	1	no	—
578	C₈×C₄₃	—	2	1	no	—
579	C₄₃⋊C₈	—	2	2	no	—
580	C₄₃⋊C₈	—	2	2	no	—
581	#61174	—	43	1	no	maximal, Sylow
582	C₂²×C₄₃	—	2	1	no	—
583	C₂²×C₄₃	—	2	1	no	—
584	C₂²×C₄₃	—	2	1	no	—
585	C₂²×C₄₃	—	2	1	no	—
586	C₂²×C₄₃	—	2	1	no	—
587	C₂²×C₄₃	—	2	1	no	—
588	C₂²×C₄₃	—	2	2	no	—
589	C₂²×C₄₃	—	2	1	no	—
590	C₂²×C₄₃	—	4	4	no	—
591	C₂²×C₄₃	—	4	1	no	—
592	C₂²×C₄₃	—	4	1	no	—
593	C₂²×C₄₃	—	4	1	no	—
594	C₂²×C₄₃	—	4	1	no	—
595	C₂²×C₄₃	—	4	1	no	—
596	C₂²×C₄₃	—	8	4	no	—
597	C₂²×C₄₃	#546	1	2	yes	—
598	C₂²×C₄₃	#577	1	2	yes	—
599	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
600	C₂×D₄₃	—	2	2	no	—
601	C₂×D₄₃	—	2	2	no	—
602	C₂×D₄₃	—	2	2	no	—
603	C₂×D₄₃	—	4	2	no	—
604	C₂×D₄₃	—	4	2	no	—
605	C₂×D₄₃	—	4	2	no	—
606	C₂×D₄₃	—	16	2	no	—
607	C₄×C₄₃	—	2	2	no	—
608	C₄×C₄₃	—	2	1	no	—
609	C₄×C₄₃	—	2	1	no	—
610	C₄×C₄₃	—	4	1	no	—
611	C₄×C₄₃	—	4	1	no	—
612	C₄×C₄₃	—	4	1	no	—
613	C₄×C₄₃	—	4	1	no	—
614	C₄×C₄₃	—	4	1	no	—
615	C₄×C₄₃	#546	1	2	yes	—
616	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
617	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
618	Dic₄₃	—	2	2	no	—
619	Dic₄₃	—	2	2	no	—
620	Dic₄₃	—	2	2	no	—
621	Dic₄₃	—	4	2	no	—
622	Dic₄₃	—	4	2	no	—
623	Dic₄₃	—	4	2	no	—
624	#3494	—	43	1	no	—
625	#3489	—	43	1	no	—
626	#3321	—	43	2	no	—
627	#3320	—	43	2	no	—
628	#3307	—	43	2	no	—
629	#3306	—	43	2	no	—
630	#3303	—	43	2	no	—
631	#3301	—	43	2	no	—
632	#3298	—	43	2	no	—
633	#3297	—	43	2	no	—
634	#3137	—	43	1	no	—
635	#3099	—	43	1	no	—
636	#3095	—	43	1	no	—
637	#3084	—	43	1	no	—
638	#3062	—	43	1	no	—
639	C₂×#465	—	43	1	no	—
640	#3042	—	43	1	no	—
641	#3010	—	43	1	no	—
642	#3006	—	43	1	no	—
643	#2946	—	43	1	no	—
644	#2929	—	43	1	no	—
645	#2898	—	43	1	no	—
646	C₂×#416	D₄₃	1	1	yes	characteristic, complemented
647	C₂×C₄₃	—	2	2	no	—
648	C₂×C₄₃	—	2	2	no	—
649	C₂×C₄₃	—	4	1	no	—
650	C₂×C₄₃	—	4	2	no	—
651	C₂×C₄₃	—	8	1	no	—
652	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
653	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
654	C₂×C₄₃	#3584	1	1	yes	characteristic
655	D₄₃	—	4	2	no	—
656	D₄₃	—	8	2	no	—
657	C₂×2₋¹⁺⁴	—	43	1	no	—
658	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
659	C₂×AGL(1,ℤ/8)	—	43	1	no	—
660	C₂×AGL(1,ℤ/8)	—	43	1	no	—
661	C₂²×SD₁₆	—	43	1	no	—
662	C₂×#131	—	43	1	no	—
663	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
664	#555	—	43	2	no	—
665	#553	—	43	2	no	—
666	#553	—	43	2	no	—
667	#551	—	86	2	no	—
668	D₄×Q₈	—	43	2	no	—
669	#548	—	43	2	no	—
670	#547	—	43	2	no	—
671	#547	—	43	2	no	—
672	#547	—	86	2	no	—
673	#546	—	43	2	no	—
674	#546	—	86	2	no	—
675	#546	—	86	2	no	—
676	#544	—	43	1	no	—
677	#542	—	86	1	no	—
678	#540	—	86	1	no	—
679	#537	—	43	1	no	—
680	#537	—	86	1	no	—
681	#536	—	43	1	no	—
682	#536	—	86	1	no	—
683	#535	—	43	1	no	—
684	#532	—	86	1	no	—
685	#529	—	86	1	no	—
686	#525	—	43	1	no	—
687	#525	—	86	1	no	—
688	C₂×C₂²⋊Q₈	—	43	1	no	—
689	C₂×C₂²⋊Q₈	—	86	1	no	—
690	C₂×#121	—	43	1	no	—
691	#520	—	43	1	no	—
692	#520	—	43	1	no	—
693	#518	—	43	1	no	—
694	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
695	#491	—	43	2	no	—
696	#489	—	43	2	no	—
697	#488	—	43	2	no	—
698	#487	—	43	2	no	—
699	#485	—	43	2	no	—
700	#485	—	43	2	no	—
701	#485	—	43	2	no	—
702	#484	—	43	2	no	—
703	#483	—	43	2	no	—
704	#483	—	43	2	no	—
705	#482	—	43	2	no	—
706	#481	—	43	2	no	—
707	#479	—	43	2	no	—
708	#478	—	43	2	no	—
709	#476	—	43	2	no	—
710	#475	—	43	2	no	—
711	#469	—	43	2	no	—
712	#468	—	43	2	no	—
713	#466	—	43	2	no	—
714	#465	—	43	2	no	—
715	#465	—	43	2	no	—
716	#465	—	43	2	no	—
717	#465	—	43	2	no	—
718	#465	—	43	2	no	—
719	#463	—	43	2	no	—
720	#463	—	43	2	no	—
721	#461	—	43	2	no	—
722	#461	—	43	2	no	—
723	#449	—	43	2	no	—
724	#449	—	43	2	no	—
725	#449	—	43	2	no	—
726	#449	—	43	2	no	—
727	#448	—	43	2	no	—
728	#448	—	43	2	no	—
729	#448	—	43	2	no	—
730	#447	—	43	2	no	—
731	#442	—	43	2	no	—
732	#440	—	43	2	no	—
733	C₄×SD₁₆	—	43	2	no	—
734	C₄×D₈	—	43	2	no	—
735	#435	—	43	2	no	—
736	#435	—	43	2	no	—
737	C₈×D₄	—	43	2	no	—
738	C₈×D₄	—	43	2	no	—
739	#428	—	43	1	no	—
740	#428	—	43	1	no	—
741	C₂×#106	—	43	1	no	—
742	#424	—	43	1	no	—
743	#419	—	43	1	no	—
744	#419	—	43	1	no	—
745	#419	—	43	2	no	—
746	#417	—	43	1	no	—
747	#417	—	43	1	no	—
748	#417	—	43	2	no	—
749	#416	—	43	2	no	—
750	#416	C₂×D₄₃	1	1	yes	characteristic
751	#416	C₂×D₄₃	1	1	yes	characteristic
752	#416	C₂×D₄₃	1	1	yes	characteristic
753	#416	C₂×D₄₃	1	1	yes	characteristic
754	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
755	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
756	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
757	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
758	C₂×#103	—	43	1	no	—
759	C₂×#103	—	43	2	no	—
760	C₂×#103	C₂×D₄₃	1	1	yes	characteristic, complemented
761	C₂×#103	C₂×D₄₃	1	1	yes	characteristic, complemented
762	C₂×#102	—	43	1	no	—
763	C₂×#102	C₂×D₄₃	1	1	yes	characteristic, complemented
764	C₂×#102	C₂×D₄₃	1	1	yes	characteristic, complemented
765	#408	—	43	1	no	—
766	#407	—	43	1	no	—
767	#405	—	43	1	no	—
768	C₄₃	#61174	1	1	yes	characteristic, complemented, Sylow
769	2₋¹⁺⁴	—	86	4	no	—
770	2₋¹⁺⁴	—	172	2	no	—
771	C₂×#41	—	2	1	no	—
772	C₂×#41	—	2	1	no	—
773	C₂×#41	—	2	4	no	—
774	C₂×#41	—	4	2	no	—
775	C₂×#41	—	43	1	no	—
776	C₂×#41	—	43	2	no	—
777	C₂×#41	—	86	2	no	—
778	C₂×#41	—	86	1	no	—
779	C₂×#41	—	86	2	no	—
780	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
781	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
782	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
783	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
784	C₂²×Q₈	—	43	2	no	—
785	C₂²×Q₈	—	43	1	no	—
786	C₂²×Q₈	—	86	1	no	—
787	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
788	C₂²×D₄	—	2	1	no	—
789	C₂²×D₄	—	43	1	no	—
790	C₂²×D₄	—	86	1	no	—
791	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
792	C₂³×C₄	—	2	1	no	—
793	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
794	AGL(1,ℤ/8)	—	86	4	no	—
795	AGL(1,ℤ/8)	—	172	2	no	—
796	C₂×SD₁₆	—	43	2	no	—
797	C₂×SD₁₆	—	43	2	no	—
798	C₂×SD₁₆	—	43	2	no	—
799	C₂×SD₁₆	—	43	2	no	—
800	C₂×SD₁₆	—	172	2	no	—
801	C₂×D₈	—	43	2	no	—
802	C₂×D₈	—	43	2	no	—
803	#131	—	172	2	no	—
804	C₂×M₁₆	—	43	1	no	—
805	C₂×M₁₆	—	43	1	no	—
806	C₂×M₁₆	—	43	2	no	—
807	C₂²×C₈	—	4	2	no	—
808	C₂²×C₈	—	43	2	no	—
809	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
810	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
811	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
812	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
813	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
814	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
815	C₄⋊Q₈	—	43	2	no	—
816	C₄⋊Q₈	—	43	2	no	—
817	C₄⋊Q₈	—	86	1	no	—
818	C₄⋊Q₈	—	86	2	no	—
819	#127	—	86	1	no	—
820	#126	—	86	2	no	—
821	#126	—	86	2	no	—
822	#125	—	43	2	no	—
823	#125	—	86	1	no	—
824	#124	—	43	2	no	—
825	#124	—	86	2	no	—
826	#124	—	86	1	no	—
827	#124	—	86	2	no	—
828	#124	—	86	2	no	—
829	#123	—	43	2	no	—
830	#123	—	86	2	no	—
831	#123	—	86	2	no	—
832	#123	—	86	2	no	—
833	#123	—	86	2	no	—
834	#123	—	86	2	no	—
835	#123	—	86	2	no	—
836	#123	—	86	2	no	—
837	#123	—	86	2	no	—
838	C₂²⋊Q₈	—	43	1	no	—
839	C₂²⋊Q₈	—	43	1	no	—
840	C₂²⋊Q₈	—	43	2	no	—
841	C₂²⋊Q₈	—	43	2	no	—
842	C₂²⋊Q₈	—	43	2	no	—
843	C₂²⋊Q₈	—	86	2	no	—
844	C₂²⋊Q₈	—	86	2	no	—
845	C₂²⋊Q₈	—	86	2	no	—
846	C₂²⋊Q₈	—	86	2	no	—
847	C₂²⋊Q₈	—	86	1	no	—
848	C₂²⋊Q₈	—	86	2	no	—
849	C₂²⋊Q₈	—	86	1	no	—
850	C₂²⋊Q₈	—	86	1	no	—
851	C₂²⋊Q₈	—	86	1	no	—
852	C₂²⋊Q₈	—	86	1	no	—
853	#121	—	43	1	no	—
854	#121	—	43	1	no	—
855	#121	—	43	2	no	—
856	#121	—	43	2	no	—
857	#121	—	43	2	no	—
858	#121	—	43	2	no	—
859	#121	—	43	2	no	—
860	#121	—	86	2	no	—
861	#121	—	86	2	no	—
862	#121	—	86	2	no	—
863	#121	—	86	1	no	—
864	#121	—	86	2	no	—
865	#121	—	86	2	no	—
866	#121	—	86	2	no	—
867	#121	—	86	2	no	—
868	#121	—	86	1	no	—
869	#121	—	86	1	no	—
870	#120	—	43	2	no	—
871	#120	—	86	2	no	—
872	#120	—	86	2	no	—
873	C₄×Q₈	—	43	2	no	—
874	C₄×Q₈	—	86	1	no	—
875	C₄×D₄	—	43	2	no	—
876	C₄×D₄	—	43	2	no	—
877	C₄×D₄	—	43	2	no	—
878	C₄×D₄	—	43	2	no	—
879	C₄×D₄	—	43	2	no	—
880	C₄×D₄	—	86	2	no	—
881	C₄×D₄	—	86	1	no	—
882	C₄×D₄	—	86	1	no	—
883	C₄×D₄	—	86	1	no	—
884	C₄×D₄	—	86	2	no	—
885	C₄×D₄	—	86	2	no	—
886	C₄×D₄	—	86	2	no	—
887	C₄×D₄	—	86	2	no	—
888	C₄×D₄	—	86	2	no	—
889	#117	—	2	1	no	—
890	#117	—	2	1	no	—
891	#117	—	43	1	no	—
892	#117	—	43	2	no	—
893	#117	—	86	2	no	—
894	#117	—	86	1	no	—
895	#117	C₂²×D₄₃	1	1	yes	characteristic
896	#117	C₂²×D₄₃	1	1	yes	characteristic
897	#117	C₂²×D₄₃	1	1	yes	characteristic
898	#117	C₂²×D₄₃	1	1	yes	characteristic
899	C₂×C₄⋊C₄	—	43	1	no	—
900	C₂×C₄⋊C₄	—	43	1	no	—
901	C₂×C₄⋊C₄	—	43	2	no	—
902	C₂×C₄⋊C₄	—	86	1	no	—
903	C₂×C₄⋊C₄	—	86	2	no	—
904	C₂×C₄⋊C₄	—	86	1	no	—
905	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	—	2	1	no	—
908	C₂×C₂²⋊C₄	—	86	2	no	—
909	C₂×C₂²⋊C₄	—	86	2	no	—
910	C₂×C₂²⋊C₄	—	86	1	no	—
911	C₂×C₂²⋊C₄	—	86	1	no	—
912	C₂×C₄²	—	2	1	no	—
913	#107	—	43	2	no	—
914	#107	—	43	2	no	—
915	#106	—	43	2	no	—
916	#106	—	43	2	no	—
917	#106	—	43	2	no	—
918	#106	—	43	2	no	—
919	C₄⋊C₈	—	43	2	no	—
920	C₄⋊C₈	—	43	2	no	—
921	#103	—	43	2	no	—
922	#103	—	43	2	no	—
923	#103	—	43	2	no	—
924	#103	—	43	2	no	—
925	#103	—	43	2	no	—
926	#103	—	43	2	no	—
927	#103	—	43	2	no	—
928	#103	—	43	2	no	—
929	#103	C₂²×D₄₃	1	1	yes	characteristic
930	#103	C₂²×D₄₃	1	1	yes	characteristic
931	#103	C₂²×D₄₃	1	1	yes	characteristic
932	#103	C₂²×D₄₃	1	1	yes	characteristic
933	#103	C₂²×D₄₃	1	1	yes	characteristic
934	#103	C₂²×D₄₃	1	1	yes	characteristic
935	#103	C₂²×D₄₃	1	1	yes	characteristic
936	#103	C₂²×D₄₃	1	1	yes	characteristic
937	#102	—	43	2	no	—
938	#102	—	43	2	no	—
939	#102	—	43	2	no	—
940	#102	—	43	2	no	—
941	#102	C₂²×D₄₃	1	1	yes	characteristic
942	#102	C₂²×D₄₃	1	1	yes	characteristic
943	#102	C₂²×D₄₃	1	1	yes	characteristic
944	#102	C₂²×D₄₃	1	1	yes	characteristic
945	#102	C₂²×D₄₃	1	1	yes	characteristic
946	#102	C₂²×D₄₃	1	1	yes	characteristic
947	#102	C₂²×D₄₃	1	1	yes	characteristic
948	#102	C₂²×D₄₃	1	1	yes	characteristic
949	C₂²⋊C₈	—	43	2	no	—
950	C₂²⋊C₈	—	43	2	no	—
951	C₂²⋊C₈	—	43	2	no	—
952	C₂²⋊C₈	—	43	2	no	—
953	#97	—	43	2	no	—
954	C₄×C₈	—	43	2	no	—
955	C₂⁴	—	2	1	no	—
956	C₂⁴	—	86	1	no	—
957	C₂⁴	D₄×D₄₃	1	1	yes	characteristic
958	#41	—	2	2	no	—
959	#41	—	2	2	no	—
960	#41	—	2	2	no	—
961	#41	—	2	2	no	—
962	#41	—	2	2	no	—
963	#41	—	4	4	no	—
964	#41	—	4	1	no	—
965	#41	—	4	1	no	—
966	#41	—	4	4	no	—
967	#41	—	86	2	no	—
968	#41	—	86	2	no	—
969	#41	—	86	4	no	—
970	#41	—	344	4	no	—
971	#41	—	172	4	no	—
972	#41	—	172	2	no	—
973	#41	—	172	8	no	—
974	#41	#10621898	1	4	yes	complemented
975	C₂×Q₈	—	2	1	no	—
976	C₂×Q₈	—	2	2	no	—
977	C₂×Q₈	—	4	1	no	—
978	C₂×Q₈	—	43	1	no	—
979	C₂×Q₈	—	43	2	no	—
980	C₂×Q₈	—	86	2	no	—
981	C₂×Q₈	—	86	2	no	—
982	C₂×Q₈	—	86	1	no	—
983	C₂×Q₈	—	86	4	no	—
984	C₂×Q₈	—	86	2	no	—
985	C₂×Q₈	—	86	2	no	—
986	C₂×Q₈	—	172	4	no	—
987	C₂×Q₈	—	172	2	no	—
988	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
989	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	2	no	—
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	4	1	no	—
997	C₂×D₄	—	4	4	no	—
998	C₂×D₄	—	43	2	no	—
999	C₂×D₄	—	43	2	no	—
1000	C₂×D₄	—	43	2	no	—
1001	C₂×D₄	—	43	1	no	—
1002	C₂×D₄	—	43	2	no	—
1003	C₂×D₄	—	86	2	no	—
1004	C₂×D₄	—	86	2	no	—
1005	C₂×D₄	—	86	2	no	—
1006	C₂×D₄	—	86	2	no	—
1007	C₂×D₄	—	86	2	no	—
1008	C₂×D₄	—	86	2	no	—
1009	C₂×D₄	—	86	1	no	—
1010	C₂×D₄	—	86	2	no	—
1011	C₂×D₄	—	86	2	no	—
1012	C₂×D₄	—	344	2	no	—
1013	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1014	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1015	C₂²×C₄	—	2	1	no	—
1016	C₂²×C₄	—	2	2	no	—
1017	C₂²×C₄	—	2	2	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	2	1	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	43	2	no	—
1026	C₂²×C₄	—	86	2	no	—
1027	C₂²×C₄	—	86	2	no	—
1028	C₂²×C₄	—	86	2	no	—
1029	C₂²×C₄	—	86	2	no	—
1030	C₂²×C₄	—	86	2	no	—
1031	C₂²×C₄	—	86	2	no	—
1032	C₂²×C₄	—	86	1	no	—
1033	C₂²×C₄	—	86	1	no	—
1034	C₂²×C₄	—	86	1	no	—
1035	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1036	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1037	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1041	SD₁₆	—	86	4	no	—
1042	SD₁₆	—	172	2	no	—
1043	SD₁₆	—	172	2	no	—
1044	SD₁₆	—	172	2	no	—
1045	D₈	—	86	4	no	—
1046	D₈	—	172	2	no	—
1047	M₁₆	—	86	2	no	—
1048	M₁₆	—	86	2	no	—
1049	M₁₆	—	172	2	no	—
1050	C₂×C₈	—	2	2	no	—
1051	C₂×C₈	—	2	2	no	—
1052	C₂×C₈	—	4	1	no	—
1053	C₂×C₈	—	4	1	no	—
1054	C₂×C₈	—	4	1	no	—
1055	C₂×C₈	—	4	1	no	—
1056	C₂×C₈	—	43	2	no	—
1057	C₂×C₈	—	43	2	no	—
1058	C₂×C₈	—	172	2	no	—
1059	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1060	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1061	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1062	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	43	1	no	—
1066	C₄⋊C₄	—	43	2	no	—
1067	C₄⋊C₄	—	43	1	no	—
1068	C₄⋊C₄	—	43	2	no	—
1069	C₄⋊C₄	—	43	2	no	—
1070	C₄⋊C₄	—	43	2	no	—
1071	C₄⋊C₄	—	86	2	no	—
1072	C₄⋊C₄	—	86	2	no	—
1073	C₄⋊C₄	—	86	2	no	—
1074	C₄⋊C₄	—	86	2	no	—
1075	C₄⋊C₄	—	86	2	no	—
1076	C₄⋊C₄	—	86	2	no	—
1077	C₄⋊C₄	—	86	2	no	—
1078	C₄⋊C₄	—	86	2	no	—
1079	C₄⋊C₄	—	86	1	no	—
1080	C₄⋊C₄	—	86	1	no	—
1081	C₄⋊C₄	—	86	2	no	—
1082	C₄⋊C₄	—	86	2	no	—
1083	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1084	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1085	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1086	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	—	2	1	no	—
1091	C₂²⋊C₄	—	43	2	no	—
1092	C₂²⋊C₄	—	43	2	no	—
1093	C₂²⋊C₄	—	43	2	no	—
1094	C₂²⋊C₄	—	43	2	no	—
1095	C₂²⋊C₄	—	43	2	no	—
1096	C₂²⋊C₄	—	86	2	no	—
1097	C₂²⋊C₄	—	86	2	no	—
1098	C₂²⋊C₄	—	86	2	no	—
1099	C₂²⋊C₄	—	86	2	no	—
1100	C₂²⋊C₄	—	86	2	no	—
1101	C₂²⋊C₄	—	86	2	no	—
1102	C₂²⋊C₄	—	86	2	no	—
1103	C₂²⋊C₄	—	86	2	no	—
1104	C₂²⋊C₄	—	86	2	no	—
1105	C₂²⋊C₄	—	86	2	no	—
1106	C₂²⋊C₄	—	86	2	no	—
1107	C₂²⋊C₄	—	86	2	no	—
1108	C₂²⋊C₄	—	86	2	no	—
1109	C₂²⋊C₄	—	86	2	no	—
1110	C₄²	—	2	1	no	—
1111	C₄²	—	2	1	no	—
1112	C₄²	—	2	1	no	—
1113	C₄²	—	2	1	no	—
1114	C₄²	—	43	2	no	—
1115	C₄²	—	86	2	no	—
1116	C₄²	—	86	2	no	—
1117	C₂³	—	2	2	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	—	2	2	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	4	1	no	—
1122	C₂³	—	4	2	no	—
1123	C₂³	—	4	2	no	—
1124	C₂³	—	8	1	no	—
1125	C₂³	—	43	2	no	—
1126	C₂³	—	86	2	no	—
1127	C₂³	—	344	1	no	—
1128	C₂³	—	344	1	no	—
1129	C₂³	—	172	2	no	—
1130	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1131	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1132	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1133	Q₈	—	2	1	no	—
1134	Q₈	—	2	1	no	—
1135	Q₈	—	2	1	no	—
1136	Q₈	—	4	2	no	—
1137	Q₈	—	86	2	no	—
1138	Q₈	—	86	2	no	—
1139	Q₈	—	86	2	no	—
1140	Q₈	—	344	2	no	—
1141	Q₈	—	172	4	no	—
1142	Q₈	—	172	2	no	—
1143	Q₈	C₂×#10621898	1	2	yes	—
1144	D₄	—	2	4	no	—
1145	D₄	—	2	1	no	—
1146	D₄	—	2	1	no	—
1147	D₄	—	2	1	no	—
1148	D₄	—	4	2	no	—
1149	D₄	—	4	2	no	—
1150	D₄	—	4	2	no	—
1151	D₄	—	4	2	no	—
1152	D₄	—	86	4	no	—
1153	D₄	—	86	4	no	—
1154	D₄	—	86	2	no	—
1155	D₄	—	86	2	no	—
1156	D₄	—	86	2	no	—
1157	D₄	—	344	2	no	—
1158	D₄	—	344	2	no	—
1159	D₄	—	344	2	no	—
1160	D₄	—	344	2	no	—
1161	D₄	—	172	2	no	—
1162	D₄	—	172	4	no	—
1163	D₄	—	172	4	no	—
1164	D₄	—	172	2	no	—
1165	D₄	C₂×#10621898	1	2	yes	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	4	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	4	2	no	—
1181	C₂×C₄	—	4	2	no	—
1182	C₂×C₄	—	4	2	no	—
1183	C₂×C₄	—	4	2	no	—
1184	C₂×C₄	—	4	2	no	—
1185	C₂×C₄	—	8	1	no	—
1186	C₂×C₄	—	43	2	no	—
1187	C₂×C₄	—	43	2	no	—
1188	C₂×C₄	—	43	2	no	—
1189	C₂×C₄	—	86	2	no	—
1190	C₂×C₄	—	86	2	no	—
1191	C₂×C₄	—	86	2	no	—
1192	C₂×C₄	—	86	2	no	—
1193	C₂×C₄	—	86	2	no	—
1194	C₂×C₄	—	344	2	no	—
1195	C₂×C₄	—	344	2	no	—
1196	C₂×C₄	—	344	2	no	—
1197	C₂×C₄	—	344	2	no	—
1198	C₂×C₄	—	344	1	no	—
1199	C₂×C₄	—	344	1	no	—
1200	C₂×C₄	—	172	4	no	—
1201	C₂×C₄	—	172	4	no	—
1202	C₂×C₄	—	172	2	no	—
1203	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1204	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1205	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1206	C₂×C₄	C₂×#10621898	1	2	yes	—
1207	C₂×C₄	#13063370	1	2	yes	—
1208	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1209	C₈	—	2	1	no	—
1210	C₈	—	2	1	no	—
1211	C₈	—	2	1	no	—
1212	C₈	—	2	1	no	—
1213	C₈	—	86	2	no	—
1214	C₈	—	86	2	no	—
1215	C₂²	—	2	1	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	2	1	no	—
1219	C₂²	—	2	1	no	—
1220	C₂²	—	2	2	no	—
1221	C₂²	—	2	1	no	—
1222	C₂²	—	2	1	no	—
1223	C₂²	—	4	4	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	8	4	no	—
1230	C₂²	—	86	2	no	—
1231	C₂²	—	86	2	no	—
1232	C₂²	—	86	2	no	—
1233	C₂²	—	172	2	no	—
1234	C₂²	—	172	2	no	—
1235	C₂²	—	172	2	no	—
1236	C₂²	—	688	2	no	—
1237	C₂²	#14583539	1	2	yes	—
1238	C₂²	#14583706	1	2	yes	—
1239	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1240	C₄	—	2	1	no	—
1241	C₄	—	2	1	no	—
1242	C₄	—	2	2	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	86	2	no	—
1249	C₄	—	86	2	no	—
1250	C₄	—	86	2	no	—
1251	C₄	—	172	2	no	—
1252	C₄	—	172	2	no	—
1253	C₄	—	172	2	no	—
1254	C₄	#14583539	1	2	yes	—
1255	C₄	C₂²×#10621898	1	1	yes	characteristic
1256	C₄	C₂×#13063370	1	1	yes	characteristic
1257	C₂	—	2	2	no	—
1258	C₂	—	2	2	no	—
1259	C₂	—	4	1	no	—
1260	C₂	—	4	2	no	—
1261	C₂	—	8	1	no	—
1262	C₂	—	344	2	no	—
1263	C₂	—	172	2	no	—
1264	C₂	C₂×#14583539	1	1	yes	characteristic
1265	C₂	C₂×#14583706	1	1	yes	characteristic
1266	C₂	#19149364	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₂×C₄₃×#416	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	C₂×#416	D₄₃
hypocenter	C₄₃	#61174
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂×#416

Complements

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

N	H ≅ G/N	type
1. #19148330	C₂	semidirect
2. #19148275	C₂	semidirect
3. #19146777	C₂	semidirect
4. #19146762	C₂	semidirect
5. #19146567	C₂	semidirect
6. #19146552	C₂	semidirect
7. #19146519	C₂	semidirect
8. #19146498	C₂	semidirect
9. #19146456	C₂	semidirect
10. #19146441	C₂	semidirect
11. #19144964	C₂	semidirect
12. #19144582	C₂	semidirect
13. #19144543	C₂	semidirect
14. #19144455	C₂	semidirect
15. #19144278	C₂	semidirect
16. C₂×#14583128	C₂	semidirect
17. #19144110	C₂	semidirect
18. #19143884	C₂	semidirect
19. #19143847	C₂	semidirect
20. #19143430	C₂	semidirect
21. #19143289	C₂	semidirect
22. #19143124	C₂	semidirect
23. C₂×C₄₃×#416	C₂	semidirect
27. C₂²×#10621873	C₂²	semidirect
28. C₂×#13063331	C₂²	semidirect
29. #14583612	C₂²	semidirect
31. #14583593	C₂²	semidirect
33. Q₈×C₂²⋊D₄₃	C₂²	semidirect
34. #14583556	C₂²	semidirect
37. #14583548	C₂²	semidirect
39. #14583543	C₂²	semidirect
41. #14583527	C₂²	semidirect
48. #14583468	C₂²	semidirect
57. #14583379	C₂²	semidirect
58. #14583373	C₂²	semidirect
59. #14583266	C₂²	semidirect
60. #14583257	C₂²	semidirect
61. #14583252	C₂²	semidirect
62. #14583248	C₂²	semidirect
63. #14583240	C₂²	semidirect
64. #14583240	C₂²	semidirect
65. #14583238	C₂²	semidirect
66. #14583234	C₂²	semidirect
67. #14583229	C₂²	semidirect
68. #14583228	C₂²	semidirect
69. #14583222	C₂²	semidirect
70. #14583216	C₂²	semidirect
71. #14583204	C₂²	semidirect
72. #14583201	C₂²	semidirect
73. #14583187	C₂²	semidirect
74. #14583182	C₂²	semidirect
75. #14583151	C₂²	semidirect
76. #14583148	C₂²	semidirect
77. #14583134	C₂²	semidirect
78. #14583131	C₂²	semidirect
81. #14583128	C₂²	semidirect
82. #14583128	C₂²	semidirect
83. #14583113	C₂²	semidirect
84. #14583113	C₂²	semidirect
85. #14583103	C₂²	semidirect
86. #14583103	C₂²	semidirect
87. #14583045	C₂²	semidirect
88. #14583045	C₂²	semidirect
91. #14583039	C₂²	semidirect
92. #14583039	C₂²	semidirect
95. #14583008	C₂²	semidirect
96. #14583002	C₂²	semidirect
97. #14582984	C₂²	semidirect
98. #14582979	C₂²	semidirect
99. #14582970	C₂²	semidirect
100. #14582970	C₂²	semidirect
101. C₈×C₂²⋊D₄₃	C₂²	semidirect
102. C₈×C₂²⋊D₄₃	C₂²	semidirect
103. #14582942	C₂²	semidirect
104. #14582942	C₂²	semidirect
105. C₂×#13063257	C₂²	semidirect
106. #14582925	C₂²	semidirect
107. #14582907	C₂²	semidirect
108. #14582907	C₂²	semidirect
109. #14582906	C₂²	semidirect
112. #14582897	C₂²	semidirect
113. #14582892	C₂²	semidirect
114. C₂×#13063250	C₂²	semidirect
115. #103×D₄₃	C₂²	semidirect
116. C₂×#13063247	C₂²	semidirect
117. #14582865	C₂²	semidirect
119. #14582854	C₂²	semidirect
127. C₄₃×#416	C₂²	semidirect
128. C₄₃×#416	C₂²	semidirect
129. C₄₃×#416	C₂²	semidirect
130. C₄₃×#416	C₂²	semidirect
131. C₂×#103×C₄₃	C₂²	semidirect
132. C₂×#103×C₄₃	C₂²	semidirect
133. C₂×#102×C₄₃	C₂²	semidirect
134. C₂×#102×C₄₃	C₂²	semidirect
333. #41×C₄₃	#41	semidirect
646. C₂×#416	D₄₃	semidirect
754. #416	C₂×D₄₃	semidirect
755. #416	C₂×D₄₃	semidirect
756. #416	C₂×D₄₃	semidirect
757. #416	C₂×D₄₃	semidirect
760. C₂×#103	C₂×D₄₃	semidirect
761. C₂×#103	C₂×D₄₃	semidirect
763. C₂×#102	C₂×D₄₃	semidirect
764. C₂×#102	C₂×D₄₃	semidirect
768. C₄₃	#61174	semidirect
974. #41	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148330	2
#19148275	2
#19146777	2
#19146762	2
#19146567	2
#19146552	2
#19146519	2
#19146498	2
#19146456	2
#19146441	2
#19144964	2
#19144582	2
#19144543	2
#19144455	2
#19144278	2
C₂×#14583128	2
#19144110	2
#19143884	2
#19143847	2
#19143430	2
#19143289	2
#19143124	2
C₂×C₄₃×#416	2
#61174	43