Subgroups — #26004623

Order 11008.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148635	C₂	1	4	yes	maximal, complemented
2	#19148618	C₂	1	4	yes	maximal, complemented
3	#19148524	C₂	1	8	yes	maximal, complemented
4	#19148444	C₂	1	2	yes	maximal, complemented
5	#19148429	C₂	1	4	yes	maximal, complemented
6	#19148398	C₂	1	1	yes	maximal, characteristic, complemented
7	#19148302	C₂	1	2	yes	maximal, complemented
8	#19148283	C₂	1	4	yes	maximal, complemented
9	#19148226	C₂	1	2	yes	maximal, complemented
10	#19148200	C₂	1	8	yes	maximal, complemented
11	#19148158	C₂	1	4	yes	maximal, complemented
12	D₄×#10621900	C₂	1	4	yes	maximal, complemented
13	#19148012	C₂	1	2	yes	maximal, complemented
14	#19148001	C₂	1	4	yes	maximal, complemented
15	#19147890	C₂	1	2	yes	maximal, complemented
16	C₂×#14583409	C₂	1	4	yes	maximal, complemented
17	H(5,𝔽₂)×Dic₄₃	C₂	1	2	yes	maximal, complemented
18	C₂×C₄×D₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#10621900	C₂²	1	4	yes	complemented
21	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
22	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
23	#14583631	C₂²	1	8	yes	complemented
24	#14583623	C₂²	1	4	yes	complemented
25	#14583614	C₂²	1	4	yes	complemented
26	#14583608	C₂²	1	8	yes	complemented
27	#14583607	C₂²	1	8	yes	complemented
28	#14583606	C₂²	1	4	yes	complemented
29	#14583601	C₂²	1	8	yes	complemented
30	#14583596	C₂²	1	8	yes	complemented
31	#14583595	C₂²	1	8	yes	complemented
32	#14583592	C₂²	1	16	yes	complemented
33	#14583584	C₂²	1	8	yes	complemented
34	#14583583	C₂²	1	8	yes	complemented
35	#14583575	C₂²	1	16	yes	complemented
36	#14583572	C₂²	1	16	yes	complemented
37	#14583572	C₂²	1	16	yes	complemented
38	#14583569	C₂²	1	4	yes	complemented
39	D₄×Dic₈₆	C₂²	1	4	yes	complemented
40	#14583555	C₂²	1	8	yes	complemented
41	#14583553	C₂²	1	4	yes	complemented
42	#14583549	C₂²	1	8	yes	complemented
43	#14583543	C₂²	1	8	yes	complemented
44	#14583537	C₂²	1	8	yes	complemented
45	#14583537	C₂²	1	8	yes	complemented
46	#14583536	C₂²	1	16	yes	complemented
47	#14583536	C₂²	1	16	yes	complemented
48	D₄×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
49	D₄×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
50	#14583530	C₂²	1	2	yes	complemented
51	#14583525	C₂²	1	4	yes	complemented
52	#14583522	C₂²	1	8	yes	complemented
53	#14583502	C₂²	1	8	yes	complemented
54	#14583494	C₂²	1	8	yes	complemented
55	#14583493	C₂²	1	16	yes	complemented
56	#14583486	C₂²	1	8	yes	complemented
57	#14583486	C₂²	1	8	yes	complemented
58	#14583484	C₂²	1	16	yes	complemented
59	#14583463	C₂²	1	4	yes	complemented
60	#14583458	C₂²	1	8	yes	complemented
61	#14583456	C₂²	1	2	yes	complemented
62	#14583454	C₂²	1	2	yes	complemented
63	#14583454	C₂²	1	2	yes	complemented
64	#14583447	C₂²	1	2	yes	complemented
65	#14583447	C₂²	1	2	yes	complemented
66	#14583444	C₂²	1	8	yes	complemented
67	#14583435	C₂²	1	8	yes	complemented
68	#14583431	C₂²	1	4	yes	complemented
69	#14583431	C₂²	1	4	yes	complemented
70	#14583430	C₂²	1	4	yes	complemented
71	#14583430	C₂²	1	4	yes	complemented
72	#14583428	C₂²	1	4	yes	complemented
73	#14583428	C₂²	1	4	yes	complemented
74	#14583426	C₂²	1	16	yes	complemented
75	#14583409	C₂²	1	8	yes	complemented
76	#14583409	C₂²	1	4	yes	complemented
77	#14583409	C₂²	1	4	yes	complemented
78	#14583409	C₂²	1	8	yes	complemented
79	#14583409	C₂²	1	8	yes	complemented
80	#14583409	C₂²	1	8	yes	complemented
81	#14583409	C₂²	1	8	yes	complemented
82	#14583409	C₂²	1	8	yes	complemented
83	#14583409	C₂²	1	8	yes	complemented
84	#14583406	C₂²	1	4	yes	complemented
85	#14583405	C₂²	1	16	yes	complemented
86	C₂×#13063307	C₂²	1	8	yes	complemented
87	C₂×#13063305	C₂²	1	4	yes	complemented
88	C₂×#13063304	C₂²	1	4	yes	complemented
89	C₂×#13063296	C₂²	1	4	yes	complemented
90	C₂×#13063293	C₂²	1	8	yes	complemented
91	#14583382	C₂²	1	4	yes	complemented
92	#14583382	C₂²	1	8	yes	complemented
93	#14583374	C₂²	1	2	yes	—
94	#14583374	C₂²	1	8	yes	complemented
95	#14583374	C₂²	1	8	yes	complemented
96	#41×Dic₄₃	C₂²	1	4	yes	complemented
97	#41×Dic₄₃	C₂²	1	8	yes	complemented
98	C₄×#10621900	C₂²	1	4	yes	complemented
99	C₄×#10621900	C₂²	1	4	yes	complemented
100	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
101	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
102	C₂×D₄×Dic₄₃	C₂²	1	8	yes	complemented
103	C₂×D₄×Dic₄₃	C₂²	1	8	yes	complemented
104	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
106	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
107	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	8	yes	complemented
108	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
109	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
110	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
111	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
112	C₂×#13063283	C₂²	1	4	yes	complemented
113	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
115	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
116	C₂×H(5,𝔽₂)×C₄₃	C₂²	1	2	yes	—
117	C₄₃×#547	C₂²	1	4	yes	complemented
118	C₄₃×#546	C₂²	1	8	yes	complemented
119	D₄²×C₄₃	C₂²	1	4	yes	complemented
120	C₄₃×#537	C₂²	1	2	yes	complemented
121	C₄₃×#534	C₂²	1	4	yes	complemented
122	C₄₃×#532	C₂²	1	2	yes	complemented
123	C₂×#121×C₄₃	C₂²	1	4	yes	complemented
124	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
125	C₂⁴×D₄₃	C₂³	1	2	yes	—
126	C₂×#10621900	—	4	16	no	—
127	C₂×#10621900	C₂³	1	4	yes	—
128	C₂×#10621900	C₂³	1	4	yes	—
129	C₂×#10621900	C₂³	1	8	yes	—
130	C₂×#10621900	C₂³	1	8	yes	complemented
131	C₂×#10621900	C₂³	1	8	yes	complemented
132	C₂²×Dic₈₆	C₂³	1	4	yes	complemented
133	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
134	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
135	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
136	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
137	C₂×D₄×D₄₃	—	2	8	no	—
138	C₂×D₄×D₄₃	C₂³	1	4	yes	—
139	C₂×D₄×D₄₃	C₂³	1	4	yes	—
140	C₂³×Dic₄₃	C₂³	1	2	yes	—
141	C₂³×Dic₄₃	C₂³	1	8	yes	complemented
142	C₂²×C₄×D₄₃	—	4	8	no	—
143	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
144	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
145	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
146	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
147	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
148	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
149	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
150	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
151	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
152	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
153	#13063325	C₂³	1	2	yes	complemented
154	#13063325	C₂³	1	2	yes	complemented
155	#13063324	C₂³	1	8	yes	complemented
156	#13063321	C₂³	1	8	yes	—
157	#13063320	C₂³	1	16	yes	complemented
158	#13063320	C₂³	1	16	yes	complemented
159	#13063318	C₂³	1	8	yes	complemented
160	#13063318	C₂³	1	16	yes	complemented
161	#13063318	C₂³	1	8	yes	complemented
162	#13063317	C₂³	1	4	yes	complemented
163	#13063316	C₂³	1	8	yes	complemented
164	#13063316	C₂³	1	4	yes	complemented
165	#13063316	C₂³	1	4	yes	complemented
166	#13063315	C₂³	1	16	yes	complemented
167	#13063314	C₂³	1	8	yes	—
168	#13063312	C₂³	1	4	yes	complemented
169	#13063312	C₂³	1	4	yes	complemented
170	#13063311	C₂³	1	16	yes	complemented
171	#13063311	C₂³	1	16	yes	complemented
172	#13063309	C₂³	1	16	yes	complemented
173	#13063309	C₂³	1	16	yes	complemented
174	#13063308	C₂³	1	16	yes	—
175	#13063307	C₂³	1	8	yes	—
176	#13063307	C₂³	1	16	yes	—
177	#13063307	C₂³	1	8	yes	—
178	#13063307	C₂³	1	16	yes	complemented
179	#13063307	C₂³	1	16	yes	complemented
180	#13063306	C₂³	1	8	yes	—
181	#13063306	C₂³	1	16	yes	complemented
182	#13063305	C₂³	1	4	yes	—
183	#13063305	C₂³	1	8	yes	—
184	#13063305	C₂³	1	4	yes	—
185	#13063305	C₂³	1	8	yes	complemented
186	#13063305	C₂³	1	8	yes	complemented
187	#13063304	C₂³	1	4	yes	—
188	#13063304	C₂³	1	8	yes	—
189	#13063304	C₂³	1	4	yes	—
190	#13063304	C₂³	1	8	yes	complemented
191	#13063304	C₂³	1	8	yes	complemented
192	#13063302	C₂³	1	16	yes	complemented
193	#13063302	C₂³	1	16	yes	complemented
194	#13063302	C₂³	1	16	yes	complemented
195	#13063301	C₂³	1	4	yes	—
196	#13063301	C₂³	1	4	yes	—
197	#13063299	C₂³	1	8	yes	—
198	#13063299	C₂³	1	8	yes	—
199	#13063297	C₂³	1	16	yes	—
200	#13063297	C₂³	1	16	yes	—
201	#13063297	C₂³	1	16	yes	complemented
202	#13063297	C₂³	1	16	yes	complemented
203	#13063296	C₂³	1	8	yes	—
204	#13063296	C₂³	1	4	yes	—
205	#13063296	C₂³	1	4	yes	—
206	#13063296	C₂³	1	4	yes	—
207	#13063296	C₂³	1	4	yes	—
208	#13063296	C₂³	1	8	yes	complemented
209	#13063296	C₂³	1	8	yes	complemented
210	#13063294	C₂³	1	16	yes	—
211	#13063293	C₂³	1	16	yes	—
212	#13063293	C₂³	1	16	yes	—
213	#13063293	C₂³	1	8	yes	—
214	#13063293	C₂³	1	16	yes	—
215	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
216	Q₈×Dic₄₃	C₂³	1	4	yes	complemented
217	Q₈×Dic₄₃	C₂³	1	4	yes	complemented
218	C₄×Dic₈₆	C₂³	1	4	yes	complemented
219	C₄×Dic₈₆	C₂³	1	4	yes	complemented
220	#13063290	C₂³	1	4	yes	complemented
221	#13063290	C₂³	1	4	yes	complemented
222	C₄×D₁₇₂	C₂³	1	4	yes	—
223	C₄×D₁₇₂	C₂³	1	4	yes	—
224	D₄×Dic₄₃	C₂³	1	8	yes	—
225	D₄×Dic₄₃	C₂³	1	8	yes	—
226	D₄×Dic₄₃	C₂³	1	4	yes	—
227	D₄×Dic₄₃	C₂³	1	4	yes	—
228	D₄×Dic₄₃	C₂³	1	8	yes	—
229	D₄×Dic₄₃	C₂³	1	16	yes	—
230	D₄×Dic₄₃	C₂³	1	8	yes	—
231	D₄×Dic₄₃	C₂³	1	16	yes	complemented
232	D₄×Dic₄₃	C₂³	1	8	yes	complemented
233	D₄×Dic₄₃	C₂³	1	16	yes	complemented
234	D₄×Dic₄₃	C₂³	1	4	yes	complemented
235	D₄×Dic₄₃	C₂³	1	16	yes	complemented
236	D₄×Dic₄₃	C₂³	1	4	yes	complemented
237	D₄×Dic₄₃	C₂³	1	16	yes	complemented
238	D₄×Dic₄₃	C₂³	1	4	yes	complemented
239	D₄×Dic₄₃	C₂³	1	4	yes	complemented
240	#13063287	C₂³	1	4	yes	—
241	#13063287	C₂³	1	4	yes	—
242	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
243	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
244	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
245	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
246	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
247	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
248	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
249	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
250	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
251	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
252	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
253	#13063284	C₂³	1	4	yes	—
254	#13063284	C₂³	1	16	yes	complemented
255	#13063284	C₂³	1	8	yes	complemented
256	#13063284	C₂³	1	8	yes	complemented
257	#13063283	C₂³	1	4	yes	—
258	#13063283	C₂³	1	8	yes	—
259	#13063283	C₂³	1	4	yes	—
260	#13063283	C₂³	1	8	yes	complemented
261	#13063283	C₂³	1	8	yes	complemented
262	#13063281	C₂³	1	8	yes	complemented
263	#13063281	C₂³	1	8	yes	complemented
264	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₄₃	C₂³	1	8	yes	complemented
266	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	complemented
267	C₂×C₄⋊Dic₄₃	C₂³	1	8	yes	complemented
268	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
270	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
271	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
272	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
273	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
274	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	complemented
275	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	complemented
276	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
277	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
278	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
279	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
280	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
281	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
286	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
287	C₄²×D₄₃	C₂³	1	2	yes	—
288	C₄²×D₄₃	C₂³	1	2	yes	—
289	C₄²×D₄₃	C₂³	1	2	yes	—
290	C₄²×D₄₃	C₂³	1	2	yes	—
291	H(5,𝔽₂)×C₄₃	—	2	16	no	—
292	C₂×#41×C₄₃	C₂³	1	4	yes	—
293	C₂×#41×C₄₃	C₂³	1	8	yes	—
294	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
295	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
296	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
297	C₂²×D₄×C₄₃	C₂³	1	4	yes	complemented
298	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
299	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	complemented
300	#127×C₄₃	C₂³	1	2	yes	complemented
301	#124×C₄₃	C₂³	1	4	yes	complemented
302	#123×C₄₃	C₂³	1	16	yes	complemented
303	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
304	#121×C₄₃	C₂³	1	4	yes	—
305	#121×C₄₃	C₂³	1	8	yes	—
306	#121×C₄₃	C₂³	1	4	yes	—
307	#121×C₄₃	C₂³	1	8	yes	complemented
308	#121×C₄₃	C₂³	1	8	yes	complemented
309	#121×C₄₃	C₂³	1	8	yes	complemented
310	#120×C₄₃	C₂³	1	16	yes	complemented
311	C₄×D₄×C₄₃	C₂³	1	4	yes	—
312	C₄×D₄×C₄₃	C₂³	1	4	yes	—
313	C₄×D₄×C₄₃	C₂³	1	4	yes	complemented
314	C₄×D₄×C₄₃	C₂³	1	4	yes	complemented
315	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	complemented
317	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
318	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	complemented
319	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
320	C₂⁴×C₄₃	C₂⁴	1	8	yes	—
321	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
322	C₂³×D₄₃	—	2	8	no	—
323	C₂³×D₄₃	—	4	4	no	—
324	C₂³×D₄₃	—	4	4	no	—
325	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
326	C₂³×D₄₃	C₂⁴	1	4	yes	—
327	C₂³×D₄₃	C₂⁴	1	4	yes	—
328	C₂³×D₄₃	C₂⁴	1	2	yes	—
329	#41×C₄₃	—	2	32	no	—
330	#41×C₄₃	—	2	16	no	—
331	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
332	C₂×D₄×C₄₃	—	2	32	no	—
333	C₂×D₄×C₄₃	—	2	32	no	—
334	C₂×D₄×C₄₃	—	4	8	no	—
335	C₂×D₄×C₄₃	#41	1	8	yes	complemented
336	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
337	C₂×D₄×C₄₃	C₂⁴	1	16	yes	—
338	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
339	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
340	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
341	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
342	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
343	C₂²×C₄×C₄₃	—	4	4	no	—
344	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
346	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
347	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
348	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
351	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
352	C₂×C₂²⋊D₄₃	—	2	8	no	—
353	C₂×C₂²⋊D₄₃	—	4	16	no	—
354	C₂×C₂²⋊D₄₃	—	4	16	no	—
355	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
356	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
357	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
358	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
359	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
360	C₂²×Dic₄₃	—	4	4	no	—
361	C₂²×Dic₄₃	—	4	16	no	—
362	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
365	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
366	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
368	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
369	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
370	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
371	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
372	C₂²×Dic₄₃	C₂⁴	1	16	yes	—
373	#10621900	—	2	16	no	—
374	#10621900	—	4	16	no	—
375	#10621900	—	4	16	no	—
376	#10621900	—	4	16	no	—
377	#10621900	—	4	8	no	—
378	D₄×D₄₃	—	2	16	no	—
379	D₄×D₄₃	—	2	16	no	—
380	C₂×D₁₇₂	—	2	4	no	—
381	C₂×D₁₇₂	C₂⁴	1	4	yes	—
382	C₂×C₄×D₄₃	—	2	4	no	—
383	C₂×C₄×D₄₃	—	2	4	no	—
384	C₂×C₄×D₄₃	—	2	16	no	—
385	C₂×C₄×D₄₃	—	4	4	no	—
386	C₂×C₄×D₄₃	—	4	8	no	—
387	C₂×C₄×D₄₃	—	4	2	no	—
388	C₂×C₄×D₄₃	—	4	8	no	—
389	C₂×C₄×D₄₃	—	4	4	no	—
390	C₂×C₄×D₄₃	—	4	8	no	—
391	C₂×C₄×D₄₃	—	4	4	no	—
392	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
393	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
394	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
395	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
399	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
400	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
401	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
402	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
403	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
404	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
405	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
406	C₂×Dic₈₆	—	4	8	no	—
407	C₂×Dic₈₆	C₂⁴	1	4	yes	—
408	C₂×Dic₈₆	C₂⁴	1	4	yes	—
409	C₂×Dic₈₆	C₂⁴	1	8	yes	—
410	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
411	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
412	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
413	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
414	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
415	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
416	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
417	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
418	C₄²×C₄₃	C₂⁴	1	2	yes	—
419	C₄²×C₄₃	C₂⁴	1	2	yes	—
420	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
421	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
422	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
423	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
424	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
425	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
426	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
427	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
428	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
429	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
430	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
431	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
432	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
433	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
434	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
435	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
436	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
437	C₄⋊Dic₄₃	C₂⁴	1	16	yes	—
438	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
439	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
440	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
441	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
442	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
443	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
444	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
445	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
446	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
447	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
448	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
449	C₄×Dic₄₃	C₂⁴	1	2	yes	—
450	C₄×Dic₄₃	C₂⁴	1	2	yes	—
451	C₄×Dic₄₃	C₂⁴	1	2	yes	—
452	C₄×Dic₄₃	C₂⁴	1	2	yes	—
453	C₄×Dic₄₃	C₂⁴	1	2	yes	—
454	C₄×Dic₄₃	C₂⁴	1	2	yes	—
455	C₄×Dic₄₃	C₂⁴	1	8	yes	—
456	C₄×Dic₄₃	C₂⁴	1	8	yes	—
457	C₄×Dic₄₃	C₂⁴	1	16	yes	—
458	C₄×Dic₄₃	C₂⁴	1	8	yes	—
459	C₂³×C₄₃	—	2	16	no	—
460	C₂³×C₄₃	—	4	2	no	—
461	C₂³×C₄₃	—	4	2	no	—
462	C₂³×C₄₃	—	4	8	no	—
463	C₂³×C₄₃	—	4	8	no	—
464	C₂³×C₄₃	C₂×#41	1	8	yes	complemented
465	C₂³×C₄₃	C₂⁵	1	8	yes	—
466	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
467	C₂³×C₄₃	C₂⁵	1	4	yes	—
468	C₂²×D₄₃	—	2	2	no	—
469	C₂²×D₄₃	—	2	2	no	—
470	C₂²×D₄₃	—	2	2	no	—
471	C₂²×D₄₃	—	2	4	no	—
472	C₂²×D₄₃	—	2	8	no	—
473	C₂²×D₄₃	—	2	8	no	—
474	C₂²×D₄₃	—	2	8	no	—
475	C₂²×D₄₃	—	2	8	no	—
476	C₂²×D₄₃	—	4	4	no	—
477	C₂²×D₄₃	—	4	2	no	—
478	C₂²×D₄₃	—	4	4	no	—
479	C₂²×D₄₃	—	4	2	no	—
480	C₂²×D₄₃	—	4	32	no	—
481	C₂²×D₄₃	C₂⁵	1	4	yes	—
482	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
483	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
484	Q₈×C₄₃	—	2	8	no	—
485	D₄×C₄₃	—	2	16	no	—
486	D₄×C₄₃	—	2	32	no	—
487	D₄×C₄₃	—	2	8	no	—
488	D₄×C₄₃	—	2	8	no	—
489	D₄×C₄₃	—	4	8	no	—
490	D₄×C₄₃	—	4	4	no	—
491	D₄×C₄₃	C₂×#41	1	16	yes	complemented
492	C₂×C₄×C₄₃	—	2	16	no	—
493	C₂×C₄×C₄₃	—	2	16	no	—
494	C₂×C₄×C₄₃	—	2	8	no	—
495	C₂×C₄×C₄₃	—	2	2	no	—
496	C₂×C₄×C₄₃	—	4	2	no	—
497	C₂×C₄×C₄₃	—	4	4	no	—
498	C₂×C₄×C₄₃	—	4	1	no	—
499	C₂×C₄×C₄₃	C₂×#41	1	4	yes	complemented
500	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
501	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
502	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
503	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
504	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
505	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
506	C₂²⋊D₄₃	—	2	16	no	—
507	C₂²⋊D₄₃	—	2	16	no	—
508	C₂²⋊D₄₃	—	2	16	no	—
509	C₂²⋊D₄₃	—	4	16	no	—
510	C₂²⋊D₄₃	—	4	16	no	—
511	C₂×Dic₄₃	—	2	2	no	—
512	C₂×Dic₄₃	—	2	2	no	—
513	C₂×Dic₄₃	—	2	8	no	—
514	C₂×Dic₄₃	—	2	16	no	—
515	C₂×Dic₄₃	—	4	8	no	—
516	C₂×Dic₄₃	—	4	4	no	—
517	C₂×Dic₄₃	—	4	2	no	—
518	C₂×Dic₄₃	—	4	1	no	—
519	C₂×Dic₄₃	—	4	16	no	—
520	C₂×Dic₄₃	—	4	8	no	—
521	C₂×Dic₄₃	—	4	8	no	—
522	C₂×Dic₄₃	C₂⁵	1	2	yes	—
523	C₂×Dic₄₃	C₂⁵	1	2	yes	—
524	C₂×Dic₄₃	C₂⁵	1	8	yes	—
525	C₂×Dic₄₃	C₂⁵	1	4	yes	—
526	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
527	C₂×Dic₄₃	C₂⁵	1	8	yes	—
528	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
529	D₁₇₂	—	2	8	no	—
530	C₄×D₄₃	—	2	2	no	—
531	C₄×D₄₃	—	2	8	no	—
532	C₄×D₄₃	—	2	4	no	—
533	C₄×D₄₃	—	2	4	no	—
534	C₄×D₄₃	—	2	4	no	—
535	C₄×D₄₃	—	2	2	no	—
536	C₄×D₄₃	—	2	8	no	—
537	C₄×D₄₃	—	2	2	no	—
538	C₄×D₄₃	—	2	8	no	—
539	C₄×D₄₃	—	4	4	no	—
540	C₄×D₄₃	—	4	4	no	—
541	C₄×D₄₃	—	4	4	no	—
542	C₄×D₄₃	—	4	2	no	—
543	C₄×D₄₃	H(5,𝔽₂)	1	4	yes	complemented
544	Dic₈₆	—	2	8	no	—
545	Dic₈₆	—	4	8	no	—
546	Dic₈₆	—	4	4	no	—
547	#62773	—	43	1	no	maximal, Sylow
548	C₂²×C₄₃	—	2	1	no	—
549	C₂²×C₄₃	—	2	4	no	—
550	C₂²×C₄₃	—	2	1	no	—
551	C₂²×C₄₃	—	2	4	no	—
552	C₂²×C₄₃	—	2	8	no	—
553	C₂²×C₄₃	—	2	8	no	—
554	C₂²×C₄₃	—	2	8	no	—
555	C₂²×C₄₃	—	4	8	no	—
556	C₂²×C₄₃	—	8	16	no	—
557	C₂²×C₄₃	C₂²×#41	1	2	yes	—
558	C₂²×C₄₃	C₂²×#41	1	8	yes	—
559	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
560	C₂×D₄₃	—	2	8	no	—
561	C₂×D₄₃	—	2	1	no	—
562	C₂×D₄₃	—	2	1	no	—
563	C₂×D₄₃	—	2	1	no	—
564	C₂×D₄₃	—	2	1	no	—
565	C₂×D₄₃	—	2	4	no	—
566	C₂×D₄₃	—	2	4	no	—
567	C₂×D₄₃	—	2	4	no	—
568	C₂×D₄₃	—	4	16	no	—
569	C₂×D₄₃	—	4	16	no	—
570	C₂×D₄₃	—	4	8	no	—
571	C₂×D₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
572	C₂×D₄₃	#585	1	2	yes	—
573	C₄×C₄₃	—	2	8	no	—
574	C₄×C₄₃	—	2	4	no	—
575	C₄×C₄₃	—	2	1	no	—
576	C₄×C₄₃	—	2	2	no	—
577	C₄×C₄₃	C₂²×#41	1	4	yes	—
578	C₄×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
579	Dic₄₃	—	2	2	no	—
580	Dic₄₃	—	2	8	no	—
581	Dic₄₃	—	2	1	no	—
582	Dic₄₃	—	2	4	no	—
583	Dic₄₃	—	2	8	no	—
584	Dic₄₃	—	2	2	no	—
585	Dic₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
586	#3520	—	43	4	no	—
587	#3519	—	43	4	no	—
588	#3513	—	43	8	no	—
589	#3506	—	43	2	no	—
590	#3505	—	43	4	no	—
591	#3501	—	43	1	no	—
592	#3496	D₄₃	1	1	yes	characteristic, complemented
593	#3492	—	43	2	no	—
594	#3490	—	43	4	no	—
595	#3484	—	43	2	no	—
596	#3481	—	43	8	no	—
597	#3475	—	43	4	no	—
598	D₄×#41	—	43	4	no	—
599	#3460	—	43	2	no	—
600	#3459	—	43	4	no	—
601	#3444	—	43	2	no	—
602	C₂×#525	—	43	4	no	—
603	C₄×H(5,𝔽₂)	—	43	2	no	—
604	C₂²×C₄×D₄	—	43	1	no	—
605	C₂×C₄₃	—	2	2	no	—
606	C₂×C₄₃	—	2	8	no	—
607	C₂×C₄₃	—	4	8	no	—
608	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
609	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
610	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
611	D₄₃	—	2	2	no	—
612	D₄₃	—	2	2	no	—
613	D₄₃	—	4	4	no	—
614	C₂×H(5,𝔽₂)	C₂×D₄₃	1	2	yes	—
615	C₂²×#41	—	43	4	no	—
616	C₂³×D₄	—	43	1	no	—
617	C₂⁴×C₄	—	43	2	no	—
618	#559	—	43	8	no	—
619	#556	—	43	4	no	—
620	#555	—	43	4	no	—
621	#554	—	43	8	no	—
622	#554	—	43	4	no	—
623	#554	—	43	8	no	—
624	#553	—	43	16	no	—
625	#553	—	43	8	no	—
626	#553	—	43	8	no	—
627	#553	—	43	8	no	—
628	#552	—	43	8	no	—
629	#552	—	43	8	no	—
630	#551	—	43	16	no	—
631	#551	—	43	16	no	—
632	#551	—	43	16	no	—
633	#550	—	43	4	no	—
634	D₄×Q₈	—	43	4	no	—
635	#548	—	43	8	no	—
636	#547	—	43	8	no	—
637	#547	—	43	4	no	—
638	#547	C₂×D₄₃	1	4	yes	complemented
639	#546	—	43	8	no	—
640	#546	—	43	8	no	—
641	#546	—	43	8	no	—
642	#546	—	43	16	no	—
643	#546	—	43	16	no	—
644	#546	C₂×D₄₃	1	8	yes	complemented
645	D₄²	—	43	8	no	—
646	D₄²	—	43	8	no	—
647	D₄²	C₂×D₄₃	1	4	yes	complemented
648	#544	—	43	2	no	—
649	#543	—	43	4	no	—
650	#542	—	43	8	no	—
651	#540	—	43	8	no	—
652	#539	—	43	16	no	—
653	#539	—	43	8	no	—
654	#538	—	43	8	no	—
655	#538	—	43	8	no	—
656	#538	—	43	16	no	—
657	#537	C₂×D₄₃	1	2	yes	complemented
658	#535	—	43	4	no	—
659	#534	—	43	8	no	—
660	#534	C₂×D₄₃	1	4	yes	complemented
661	#533	—	43	2	no	—
662	#533	—	43	2	no	—
663	#533	—	43	2	no	—
664	#532	—	43	2	no	—
665	#532	—	43	2	no	—
666	#532	—	43	8	no	—
667	#532	C₂×D₄₃	1	2	yes	complemented
668	#529	—	43	4	no	—
669	#529	—	43	4	no	—
670	#529	—	43	16	no	—
671	#529	—	43	8	no	—
672	#529	—	43	4	no	—
673	#529	—	43	4	no	—
674	#529	—	43	4	no	—
675	#529	—	43	4	no	—
676	#525	—	43	4	no	—
677	#525	—	43	4	no	—
678	#525	—	43	8	no	—
679	#525	—	43	8	no	—
680	#525	—	43	8	no	—
681	#525	—	43	4	no	—
682	#525	—	43	8	no	—
683	#525	—	43	8	no	—
684	#525	—	43	8	no	—
685	#525	—	43	8	no	—
686	#525	—	43	16	no	—
687	C₂×#123	—	43	8	no	—
688	C₂×C₂²⋊Q₈	—	43	4	no	—
689	C₂×C₂²⋊Q₈	—	43	4	no	—
690	C₂×#121	—	43	4	no	—
691	C₂×#121	C₂×D₄₃	1	4	yes	complemented
692	C₂×#120	—	43	8	no	—
693	#520	—	43	4	no	—
694	#520	—	43	8	no	—
695	#518	—	43	2	no	—
696	#518	—	43	8	no	—
697	#518	—	43	8	no	—
698	C₄×#41	—	43	4	no	—
699	C₄×#41	—	43	8	no	—
700	C₄×#41	—	43	4	no	—
701	C₄×#41	—	43	4	no	—
702	C₂×C₄×D₄	—	43	1	no	—
703	C₂×C₄×D₄	—	43	8	no	—
704	C₂×C₄×D₄	—	43	8	no	—
705	C₂×C₄×D₄	—	43	2	no	—
706	C₂×C₄×D₄	—	43	4	no	—
707	C₂×C₄×D₄	—	43	4	no	—
708	C₂×C₄×D₄	—	43	4	no	—
709	C₂×C₄×D₄	—	43	4	no	—
710	C₂×C₄×D₄	—	43	1	no	—
711	C₂×C₄×D₄	—	43	2	no	—
712	C₂×C₄×D₄	—	43	8	no	—
713	C₂×C₄×D₄	—	43	1	no	—
714	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
715	C₂×#117	—	43	4	no	—
716	C₂²×C₄⋊C₄	—	43	1	no	—
717	C₂²×C₂²⋊C₄	—	43	2	no	—
718	C₂²×C₄²	—	43	1	no	—
719	C₄₃	#62773	1	1	yes	characteristic, complemented, Sylow
720	C₂⁵	—	43	2	no	—
721	H(5,𝔽₂)	—	2	16	no	—
722	C₂×#41	—	43	4	no	—
723	C₂×#41	—	43	4	no	—
724	C₂×#41	—	43	8	no	—
725	C₂×#41	—	43	8	no	—
726	C₂×#41	—	43	8	no	—
727	C₂×#41	—	172	16	no	—
728	C₂×#41	C₂²×D₄₃	1	4	yes	—
729	C₂×#41	C₂²×D₄₃	1	8	yes	—
730	C₂²×Q₈	—	43	4	no	—
731	C₂²×D₄	—	43	2	no	—
732	C₂²×D₄	—	43	8	no	—
733	C₂²×D₄	—	43	8	no	—
734	C₂²×D₄	—	43	4	no	—
735	C₂²×D₄	—	43	4	no	—
736	C₂²×D₄	—	43	1	no	—
737	C₂²×D₄	—	86	8	no	—
738	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
739	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
740	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
741	C₂²×D₄	C₂²×D₄₃	1	4	yes	complemented
742	C₂³×C₄	—	43	2	no	—
743	C₂³×C₄	—	43	8	no	—
744	C₂³×C₄	—	43	1	no	—
745	C₂³×C₄	—	43	4	no	—
746	C₂³×C₄	—	43	1	no	—
747	C₂³×C₄	—	43	1	no	—
748	C₂³×C₄	—	43	2	no	—
749	C₂³×C₄	—	43	4	no	—
750	C₂³×C₄	—	43	4	no	—
751	C₂³×C₄	—	43	4	no	—
752	C₂³×C₄	—	43	2	no	—
753	C₂³×C₄	—	43	2	no	—
754	C₂³×C₄	—	172	8	no	—
755	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
756	C₄⋊Q₈	—	43	8	no	—
757	C₄⋊Q₈	—	43	2	no	—
758	C₄⋊Q₈	—	43	2	no	—
759	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	complemented
760	#127	—	43	8	no	—
761	#127	C₂²×D₄₃	1	2	yes	complemented
762	#126	—	43	16	no	—
763	#126	—	43	16	no	—
764	#126	—	43	8	no	—
765	#126	—	43	8	no	—
766	#126	—	43	16	no	—
767	#125	—	43	4	no	—
768	#125	—	43	4	no	—
769	#125	—	43	16	no	—
770	#125	—	43	8	no	—
771	#125	—	43	4	no	—
772	#124	—	43	8	no	—
773	#124	—	43	4	no	—
774	#124	—	43	4	no	—
775	#124	—	43	16	no	—
776	#124	—	43	16	no	—
777	#124	C₂²×D₄₃	1	4	yes	complemented
778	#123	—	43	8	no	—
779	#123	—	43	16	no	—
780	#123	—	43	16	no	—
781	#123	—	43	8	no	—
782	#123	—	43	16	no	—
783	#123	—	43	16	no	—
784	#123	—	43	16	no	—
785	#123	—	43	8	no	—
786	#123	—	43	16	no	—
787	#123	—	43	16	no	—
788	#123	C₂²×D₄₃	1	16	yes	complemented
789	C₂²⋊Q₈	—	43	4	no	—
790	C₂²⋊Q₈	—	43	4	no	—
791	C₂²⋊Q₈	—	43	4	no	—
792	C₂²⋊Q₈	—	43	8	no	—
793	C₂²⋊Q₈	—	43	8	no	—
794	C₂²⋊Q₈	—	43	8	no	—
795	C₂²⋊Q₈	—	43	4	no	—
796	C₂²⋊Q₈	—	43	4	no	—
797	C₂²⋊Q₈	—	43	8	no	—
798	C₂²⋊Q₈	—	43	8	no	—
799	C₂²⋊Q₈	—	43	8	no	—
800	C₂²⋊Q₈	—	43	4	no	—
801	C₂²⋊Q₈	—	43	16	no	—
802	C₂²⋊Q₈	—	43	16	no	—
803	C₂²⋊Q₈	—	43	16	no	—
804	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
805	#121	—	43	4	no	—
806	#121	—	43	8	no	—
807	#121	—	43	8	no	—
808	#121	—	43	8	no	—
809	#121	—	43	4	no	—
810	#121	—	43	4	no	—
811	#121	—	43	4	no	—
812	#121	—	43	16	no	—
813	#121	—	43	16	no	—
814	#121	—	43	16	no	—
815	#121	—	43	16	no	—
816	#121	—	43	8	no	—
817	#121	—	43	8	no	—
818	#121	C₂²×D₄₃	1	4	yes	—
819	#121	C₂²×D₄₃	1	8	yes	—
820	#121	C₂²×D₄₃	1	4	yes	—
821	#121	C₂²×D₄₃	1	8	yes	complemented
822	#121	C₂²×D₄₃	1	8	yes	complemented
823	#121	C₂²×D₄₃	1	8	yes	complemented
824	#120	—	43	16	no	—
825	#120	—	43	8	no	—
826	#120	—	43	16	no	—
827	#120	—	43	16	no	—
828	#120	—	43	16	no	—
829	#120	C₂²×D₄₃	1	16	yes	complemented
830	C₄×Q₈	—	43	4	no	—
831	C₄×Q₈	—	43	4	no	—
832	C₄×Q₈	—	43	8	no	—
833	C₄×Q₈	—	43	4	no	—
834	C₄×Q₈	—	43	4	no	—
835	C₄×Q₈	—	43	4	no	—
836	C₄×Q₈	—	43	4	no	—
837	C₄×D₄	—	43	4	no	—
838	C₄×D₄	—	43	4	no	—
839	C₄×D₄	—	43	8	no	—
840	C₄×D₄	—	43	16	no	—
841	C₄×D₄	—	43	4	no	—
842	C₄×D₄	—	43	16	no	—
843	C₄×D₄	—	43	16	no	—
844	C₄×D₄	—	43	8	no	—
845	C₄×D₄	—	43	16	no	—
846	C₄×D₄	—	43	8	no	—
847	C₄×D₄	—	43	8	no	—
848	C₄×D₄	—	43	4	no	—
849	C₄×D₄	—	43	8	no	—
850	C₄×D₄	—	43	16	no	—
851	C₄×D₄	—	43	4	no	—
852	C₄×D₄	—	43	4	no	—
853	C₄×D₄	—	43	8	no	—
854	C₄×D₄	—	43	8	no	—
855	C₄×D₄	—	43	8	no	—
856	C₄×D₄	—	43	8	no	—
857	C₄×D₄	—	43	4	no	—
858	C₄×D₄	—	43	4	no	—
859	C₄×D₄	—	43	8	no	—
860	C₄×D₄	—	43	8	no	—
861	C₄×D₄	—	43	8	no	—
862	C₄×D₄	—	43	16	no	—
863	C₄×D₄	—	43	16	no	—
864	C₄×D₄	—	43	16	no	—
865	C₄×D₄	—	43	8	no	—
866	C₄×D₄	—	43	4	no	—
867	C₄×D₄	—	43	4	no	—
868	C₄×D₄	C₂²×D₄₃	1	4	yes	—
869	C₄×D₄	C₂²×D₄₃	1	4	yes	—
870	C₄×D₄	C₂²×D₄₃	1	4	yes	complemented
871	C₄×D₄	C₂²×D₄₃	1	4	yes	complemented
872	#117	—	43	4	no	—
873	#117	—	43	8	no	—
874	#117	—	43	16	no	—
875	#117	—	43	8	no	—
876	#117	—	43	4	no	—
877	#117	—	43	8	no	—
878	#117	—	43	8	no	—
879	#117	—	43	8	no	—
880	#117	—	43	4	no	—
881	#117	—	43	8	no	—
882	#117	—	43	8	no	—
883	C₂×C₄⋊C₄	—	43	1	no	—
884	C₂×C₄⋊C₄	—	43	2	no	—
885	C₂×C₄⋊C₄	—	43	4	no	—
886	C₂×C₄⋊C₄	—	43	8	no	—
887	C₂×C₄⋊C₄	—	43	8	no	—
888	C₂×C₄⋊C₄	—	43	8	no	—
889	C₂×C₄⋊C₄	—	43	4	no	—
890	C₂×C₄⋊C₄	—	43	4	no	—
891	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	complemented
893	C₂×C₂²⋊C₄	—	43	2	no	—
894	C₂×C₂²⋊C₄	—	43	8	no	—
895	C₂×C₂²⋊C₄	—	43	8	no	—
896	C₂×C₂²⋊C₄	—	43	16	no	—
897	C₂×C₂²⋊C₄	—	43	2	no	—
898	C₂×C₂²⋊C₄	—	43	2	no	—
899	C₂×C₂²⋊C₄	—	43	8	no	—
900	C₂×C₂²⋊C₄	—	43	8	no	—
901	C₂×C₂²⋊C₄	—	43	8	no	—
902	C₂×C₂²⋊C₄	—	43	8	no	—
903	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
904	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	complemented
905	C₂×C₄²	—	43	8	no	—
906	C₂×C₄²	—	43	1	no	—
907	C₂×C₄²	—	43	1	no	—
908	C₂×C₄²	—	43	1	no	—
909	C₂×C₄²	—	43	8	no	—
910	C₂×C₄²	—	43	2	no	—
911	C₂×C₄²	—	43	2	no	—
912	C₂×C₄²	—	43	2	no	—
913	C₂×C₄²	—	43	2	no	—
914	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
915	C₂⁴	—	43	1	no	—
916	C₂⁴	—	43	4	no	—
917	C₂⁴	—	43	4	no	—
918	C₂⁴	—	43	2	no	—
919	C₂⁴	—	86	8	no	—
920	C₂⁴	—	172	4	no	—
921	C₂⁴	—	172	4	no	—
922	C₂⁴	C₂³×D₄₃	1	8	yes	—
923	C₂⁴	C₂³×D₄₃	1	2	yes	—
924	#41	—	2	32	no	—
925	#41	—	2	16	no	—
926	#41	—	86	16	no	—
927	#41	—	172	16	no	—
928	#41	—	172	16	no	—
929	#41	—	172	16	no	—
930	#41	—	172	8	no	—
931	C₂×Q₈	—	43	4	no	—
932	C₂×Q₈	—	43	4	no	—
933	C₂×Q₈	—	43	8	no	—
934	C₂×Q₈	—	172	8	no	—
935	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
936	C₂×D₄	—	2	32	no	—
937	C₂×D₄	—	2	32	no	—
938	C₂×D₄	—	4	8	no	—
939	C₂×D₄	—	43	8	no	—
940	C₂×D₄	—	43	8	no	—
941	C₂×D₄	—	43	8	no	—
942	C₂×D₄	—	43	16	no	—
943	C₂×D₄	—	43	16	no	—
944	C₂×D₄	—	43	4	no	—
945	C₂×D₄	—	86	8	no	—
946	C₂×D₄	—	86	16	no	—
947	C₂×D₄	—	86	16	no	—
948	C₂×D₄	—	86	4	no	—
949	C₂×D₄	—	172	16	no	—
950	C₂×D₄	—	172	16	no	—
951	C₂×D₄	#10621900	1	8	yes	complemented
952	C₂×D₄	C₂³×D₄₃	1	8	yes	—
953	C₂×D₄	C₂³×D₄₃	1	16	yes	—
954	C₂×D₄	C₂³×D₄₃	1	4	yes	—
955	C₂×D₄	C₂³×D₄₃	1	4	yes	—
956	C₂×D₄	C₂³×D₄₃	1	4	yes	—
957	C₂×D₄	C₂³×D₄₃	1	8	yes	—
958	C₂×D₄	C₂³×D₄₃	1	4	yes	—
959	C₂²×C₄	—	4	4	no	—
960	C₂²×C₄	—	43	1	no	—
961	C₂²×C₄	—	43	1	no	—
962	C₂²×C₄	—	43	1	no	—
963	C₂²×C₄	—	43	4	no	—
964	C₂²×C₄	—	43	8	no	—
965	C₂²×C₄	—	43	1	no	—
966	C₂²×C₄	—	43	8	no	—
967	C₂²×C₄	—	43	8	no	—
968	C₂²×C₄	—	43	2	no	—
969	C₂²×C₄	—	43	4	no	—
970	C₂²×C₄	—	43	8	no	—
971	C₂²×C₄	—	43	16	no	—
972	C₂²×C₄	—	43	2	no	—
973	C₂²×C₄	—	43	2	no	—
974	C₂²×C₄	—	43	2	no	—
975	C₂²×C₄	—	43	1	no	—
976	C₂²×C₄	—	43	1	no	—
977	C₂²×C₄	—	43	1	no	—
978	C₂²×C₄	—	43	4	no	—
979	C₂²×C₄	—	43	4	no	—
980	C₂²×C₄	—	43	4	no	—
981	C₂²×C₄	—	43	2	no	—
982	C₂²×C₄	—	43	4	no	—
983	C₂²×C₄	—	43	4	no	—
984	C₂²×C₄	—	43	4	no	—
985	C₂²×C₄	—	86	4	no	—
986	C₂²×C₄	—	86	16	no	—
987	C₂²×C₄	—	86	4	no	—
988	C₂²×C₄	—	172	4	no	—
989	C₂²×C₄	—	172	8	no	—
990	C₂²×C₄	—	172	8	no	—
991	C₂²×C₄	—	172	4	no	—
992	C₂²×C₄	—	172	8	no	—
993	C₂²×C₄	—	172	4	no	—
994	C₂²×C₄	—	172	2	no	—
995	C₂²×C₄	—	172	4	no	—
996	C₂²×C₄	—	172	16	no	—
997	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
998	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
999	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1000	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1001	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1002	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1003	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1004	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1005	C₄⋊C₄	—	43	4	no	—
1006	C₄⋊C₄	—	43	8	no	—
1007	C₄⋊C₄	—	43	4	no	—
1008	C₄⋊C₄	—	43	4	no	—
1009	C₄⋊C₄	—	43	8	no	—
1010	C₄⋊C₄	—	43	8	no	—
1011	C₄⋊C₄	—	43	16	no	—
1012	C₄⋊C₄	—	43	8	no	—
1013	C₄⋊C₄	—	43	16	no	—
1014	C₄⋊C₄	—	43	4	no	—
1015	C₄⋊C₄	—	43	8	no	—
1016	C₄⋊C₄	—	43	8	no	—
1017	C₄⋊C₄	—	43	8	no	—
1018	C₄⋊C₄	—	43	8	no	—
1019	C₄⋊C₄	—	43	4	no	—
1020	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1021	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1022	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1023	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1024	C₂²⋊C₄	—	43	8	no	—
1025	C₂²⋊C₄	—	43	8	no	—
1026	C₂²⋊C₄	—	43	16	no	—
1027	C₂²⋊C₄	—	43	8	no	—
1028	C₂²⋊C₄	—	43	16	no	—
1029	C₂²⋊C₄	—	43	8	no	—
1030	C₂²⋊C₄	—	43	8	no	—
1031	C₂²⋊C₄	—	43	8	no	—
1032	C₂²⋊C₄	—	43	8	no	—
1033	C₂²⋊C₄	—	43	8	no	—
1034	C₂²⋊C₄	—	43	8	no	—
1035	C₂²⋊C₄	—	43	8	no	—
1036	C₂²⋊C₄	—	43	16	no	—
1037	C₂²⋊C₄	—	43	16	no	—
1038	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1039	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1040	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
1041	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1042	C₄²	—	43	2	no	—
1043	C₄²	—	43	8	no	—
1044	C₄²	—	43	2	no	—
1045	C₄²	—	43	2	no	—
1046	C₄²	—	43	2	no	—
1047	C₄²	—	43	2	no	—
1048	C₄²	—	43	2	no	—
1049	C₄²	—	43	16	no	—
1050	C₄²	—	43	8	no	—
1051	C₄²	—	43	8	no	—
1052	C₄²	C₂³×D₄₃	1	2	yes	—
1053	C₄²	C₂³×D₄₃	1	2	yes	—
1054	C₂³	—	2	16	no	—
1055	C₂³	—	4	2	no	—
1056	C₂³	—	4	2	no	—
1057	C₂³	—	4	8	no	—
1058	C₂³	—	4	8	no	—
1059	C₂³	—	43	1	no	—
1060	C₂³	—	43	1	no	—
1061	C₂³	—	43	4	no	—
1062	C₂³	—	86	2	no	—
1063	C₂³	—	86	2	no	—
1064	C₂³	—	86	8	no	—
1065	C₂³	—	86	8	no	—
1066	C₂³	—	86	2	no	—
1067	C₂³	—	86	8	no	—
1068	C₂³	—	86	8	no	—
1069	C₂³	—	86	4	no	—
1070	C₂³	—	172	2	no	—
1071	C₂³	—	172	4	no	—
1072	C₂³	—	172	2	no	—
1073	C₂³	—	172	4	no	—
1074	C₂³	—	172	32	no	—
1075	C₂³	C₂×#10621900	1	8	yes	complemented
1076	C₂³	C₂⁴×D₄₃	1	8	yes	—
1077	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1078	C₂³	C₂⁴×D₄₃	1	4	yes	—
1079	Q₈	—	2	8	no	—
1080	Q₈	—	86	8	no	—
1081	Q₈	—	172	8	no	—
1082	Q₈	—	172	4	no	—
1083	D₄	—	2	32	no	—
1084	D₄	—	2	16	no	—
1085	D₄	—	2	8	no	—
1086	D₄	—	2	8	no	—
1087	D₄	—	4	8	no	—
1088	D₄	—	4	4	no	—
1089	D₄	—	86	16	no	—
1090	D₄	—	86	16	no	—
1091	D₄	—	86	16	no	—
1092	D₄	—	86	8	no	—
1093	D₄	—	172	16	no	—
1094	D₄	—	172	16	no	—
1095	D₄	C₂×#10621900	1	16	yes	complemented
1096	C₂×C₄	—	2	16	no	—
1097	C₂×C₄	—	2	16	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	8	no	—
1100	C₂×C₄	—	4	4	no	—
1101	C₂×C₄	—	4	2	no	—
1102	C₂×C₄	—	4	1	no	—
1103	C₂×C₄	—	43	1	no	—
1104	C₂×C₄	—	43	4	no	—
1105	C₂×C₄	—	43	2	no	—
1106	C₂×C₄	—	43	8	no	—
1107	C₂×C₄	—	43	2	no	—
1108	C₂×C₄	—	43	1	no	—
1109	C₂×C₄	—	43	4	no	—
1110	C₂×C₄	—	43	8	no	—
1111	C₂×C₄	—	86	2	no	—
1112	C₂×C₄	—	86	8	no	—
1113	C₂×C₄	—	86	2	no	—
1114	C₂×C₄	—	86	8	no	—
1115	C₂×C₄	—	86	4	no	—
1116	C₂×C₄	—	86	2	no	—
1117	C₂×C₄	—	86	8	no	—
1118	C₂×C₄	—	86	16	no	—
1119	C₂×C₄	—	86	2	no	—
1120	C₂×C₄	—	86	4	no	—
1121	C₂×C₄	—	86	4	no	—
1122	C₂×C₄	—	86	2	no	—
1123	C₂×C₄	—	86	8	no	—
1124	C₂×C₄	—	172	4	no	—
1125	C₂×C₄	—	172	4	no	—
1126	C₂×C₄	—	172	4	no	—
1127	C₂×C₄	—	172	2	no	—
1128	C₂×C₄	—	172	2	no	—
1129	C₂×C₄	—	172	4	no	—
1130	C₂×C₄	—	172	8	no	—
1131	C₂×C₄	—	172	16	no	—
1132	C₂×C₄	—	172	1	no	—
1133	C₂×C₄	—	172	8	no	—
1134	C₂×C₄	—	172	8	no	—
1135	C₂×C₄	C₂×#10621900	1	4	yes	complemented
1136	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
1137	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1138	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1139	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1140	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1141	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	4	no	—
1146	C₂²	—	2	8	no	—
1147	C₂²	—	2	8	no	—
1148	C₂²	—	2	8	no	—
1149	C₂²	—	4	8	no	—
1150	C₂²	—	8	16	no	—
1151	C₂²	—	43	2	no	—
1152	C₂²	—	43	2	no	—
1153	C₂²	—	86	8	no	—
1154	C₂²	—	86	1	no	—
1155	C₂²	—	86	1	no	—
1156	C₂²	—	86	1	no	—
1157	C₂²	—	86	1	no	—
1158	C₂²	—	86	4	no	—
1159	C₂²	—	86	4	no	—
1160	C₂²	—	86	4	no	—
1161	C₂²	—	172	16	no	—
1162	C₂²	—	172	16	no	—
1163	C₂²	—	172	8	no	—
1164	C₂²	C₂²×#10621900	1	8	yes	—
1165	C₂²	C₂²×#10621900	1	2	yes	—
1166	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1167	C₄	—	2	8	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	2	4	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	43	2	no	—
1172	C₄	—	86	2	no	—
1173	C₄	—	86	1	no	—
1174	C₄	—	86	4	no	—
1175	C₄	—	86	8	no	—
1176	C₄	—	86	2	no	—
1177	C₄	—	86	8	no	—
1178	C₄	C₂²×#10621900	1	4	yes	—
1179	C₄	H(5,𝔽₂)×D₄₃	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	8	no	—
1182	C₂	—	4	8	no	—
1183	C₂	—	86	2	no	—
1184	C₂	—	86	2	no	—
1185	C₂	—	172	4	no	—
1186	C₂	C₂³×#10621900	1	1	yes	characteristic
1187	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1188	C₂	#585×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3496	C₂
hypercenter	#3496	D₄₃
hypocenter	C₄₃	#62773
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3496

Complements

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

N	H ≅ G/N	type
1. #19148635	C₂	semidirect
2. #19148618	C₂	semidirect
3. #19148524	C₂	semidirect
4. #19148444	C₂	semidirect
5. #19148429	C₂	semidirect
6. #19148398	C₂	semidirect
7. #19148302	C₂	semidirect
8. #19148283	C₂	semidirect
9. #19148226	C₂	semidirect
10. #19148200	C₂	semidirect
11. #19148158	C₂	semidirect
12. D₄×#10621900	C₂	semidirect
13. #19148012	C₂	semidirect
14. #19148001	C₂	semidirect
15. #19147890	C₂	semidirect
16. C₂×#14583409	C₂	semidirect
17. H(5,𝔽₂)×Dic₄₃	C₂	semidirect
18. C₂×C₄×D₄×D₄₃	C₂	semidirect
19. C₄₃×#3496	C₂	semidirect
20. C₂²×#10621900	C₂²	semidirect
22. C₂³×C₄×D₄₃	C₂²	semidirect
23. #14583631	C₂²	semidirect
24. #14583623	C₂²	semidirect
25. #14583614	C₂²	semidirect
26. #14583608	C₂²	semidirect
27. #14583607	C₂²	semidirect
28. #14583606	C₂²	semidirect
29. #14583601	C₂²	semidirect
30. #14583596	C₂²	semidirect
31. #14583595	C₂²	semidirect
32. #14583592	C₂²	semidirect
33. #14583584	C₂²	semidirect
34. #14583583	C₂²	semidirect
35. #14583575	C₂²	semidirect
36. #14583572	C₂²	semidirect
37. #14583572	C₂²	semidirect
38. #14583569	C₂²	semidirect
39. D₄×Dic₈₆	C₂²	semidirect
40. #14583555	C₂²	semidirect
41. #14583553	C₂²	semidirect
42. #14583549	C₂²	semidirect
43. #14583543	C₂²	semidirect
44. #14583537	C₂²	semidirect
45. #14583537	C₂²	semidirect
46. #14583536	C₂²	semidirect
47. #14583536	C₂²	semidirect
48. D₄×C₂²⋊D₄₃	C₂²	semidirect
49. D₄×C₂²⋊D₄₃	C₂²	semidirect
50. #14583530	C₂²	semidirect
51. #14583525	C₂²	semidirect
52. #14583522	C₂²	semidirect
53. #14583502	C₂²	semidirect
54. #14583494	C₂²	semidirect
55. #14583493	C₂²	semidirect
56. #14583486	C₂²	semidirect
57. #14583486	C₂²	semidirect
58. #14583484	C₂²	semidirect
59. #14583463	C₂²	semidirect
60. #14583458	C₂²	semidirect
61. #14583456	C₂²	semidirect
62. #14583454	C₂²	semidirect
63. #14583454	C₂²	semidirect
64. #14583447	C₂²	semidirect
65. #14583447	C₂²	semidirect
66. #14583444	C₂²	semidirect
67. #14583435	C₂²	semidirect
68. #14583431	C₂²	semidirect
69. #14583431	C₂²	semidirect
70. #14583430	C₂²	semidirect
71. #14583430	C₂²	semidirect
72. #14583428	C₂²	semidirect
73. #14583428	C₂²	semidirect
74. #14583426	C₂²	semidirect
75. #14583409	C₂²	semidirect
76. #14583409	C₂²	semidirect
77. #14583409	C₂²	semidirect
78. #14583409	C₂²	semidirect
79. #14583409	C₂²	semidirect
80. #14583409	C₂²	semidirect
81. #14583409	C₂²	semidirect
82. #14583409	C₂²	semidirect
83. #14583409	C₂²	semidirect
84. #14583406	C₂²	semidirect
85. #14583405	C₂²	semidirect
86. C₂×#13063307	C₂²	semidirect
87. C₂×#13063305	C₂²	semidirect
88. C₂×#13063304	C₂²	semidirect
89. C₂×#13063296	C₂²	semidirect
90. C₂×#13063293	C₂²	semidirect
91. #14583382	C₂²	semidirect
92. #14583382	C₂²	semidirect
94. #14583374	C₂²	semidirect
95. #14583374	C₂²	semidirect
96. #41×Dic₄₃	C₂²	semidirect
97. #41×Dic₄₃	C₂²	semidirect
98. C₄×#10621900	C₂²	semidirect
99. C₄×#10621900	C₂²	semidirect
100. C₂×C₄×D₁₇₂	C₂²	semidirect
102. C₂×D₄×Dic₄₃	C₂²	semidirect
103. C₂×D₄×Dic₄₃	C₂²	semidirect
104. C₂×#13063287	C₂²	semidirect
105. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
106. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
107. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
108. C₄×D₄×D₄₃	C₂²	semidirect
109. C₄×D₄×D₄₃	C₂²	semidirect
110. C₄×D₄×D₄₃	C₂²	semidirect
111. C₄×D₄×D₄₃	C₂²	semidirect
112. C₂×#13063283	C₂²	semidirect
113. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
114. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
115. C₂×C₄²×D₄₃	C₂²	semidirect
117. C₄₃×#547	C₂²	semidirect
118. C₄₃×#546	C₂²	semidirect
119. D₄²×C₄₃	C₂²	semidirect
120. C₄₃×#537	C₂²	semidirect
121. C₄₃×#534	C₂²	semidirect
122. C₄₃×#532	C₂²	semidirect
123. C₂×#121×C₄₃	C₂²	semidirect
130. C₂×#10621900	C₂³	semidirect
131. C₂×#10621900	C₂³	semidirect
132. C₂²×Dic₈₆	C₂³	semidirect
141. C₂³×Dic₄₃	C₂³	semidirect
153. #13063325	C₂³	semidirect
154. #13063325	C₂³	semidirect
155. #13063324	C₂³	semidirect
157. #13063320	C₂³	semidirect
158. #13063320	C₂³	semidirect
159. #13063318	C₂³	semidirect
160. #13063318	C₂³	semidirect
161. #13063318	C₂³	semidirect
162. #13063317	C₂³	semidirect
163. #13063316	C₂³	semidirect
164. #13063316	C₂³	semidirect
165. #13063316	C₂³	semidirect
166. #13063315	C₂³	semidirect
168. #13063312	C₂³	semidirect
169. #13063312	C₂³	semidirect
170. #13063311	C₂³	semidirect
171. #13063311	C₂³	semidirect
172. #13063309	C₂³	semidirect
173. #13063309	C₂³	semidirect
178. #13063307	C₂³	semidirect
179. #13063307	C₂³	semidirect
181. #13063306	C₂³	semidirect
185. #13063305	C₂³	semidirect
186. #13063305	C₂³	semidirect
190. #13063304	C₂³	semidirect
191. #13063304	C₂³	semidirect
192. #13063302	C₂³	semidirect
193. #13063302	C₂³	semidirect
194. #13063302	C₂³	semidirect
201. #13063297	C₂³	semidirect
202. #13063297	C₂³	semidirect
208. #13063296	C₂³	semidirect
209. #13063296	C₂³	semidirect
215. Q₈×Dic₄₃	C₂³	semidirect
216. Q₈×Dic₄₃	C₂³	semidirect
217. Q₈×Dic₄₃	C₂³	semidirect
218. C₄×Dic₈₆	C₂³	semidirect
219. C₄×Dic₈₆	C₂³	semidirect
220. #13063290	C₂³	semidirect
221. #13063290	C₂³	semidirect
231. D₄×Dic₄₃	C₂³	semidirect
232. D₄×Dic₄₃	C₂³	semidirect
233. D₄×Dic₄₃	C₂³	semidirect
234. D₄×Dic₄₃	C₂³	semidirect
235. D₄×Dic₄₃	C₂³	semidirect
236. D₄×Dic₄₃	C₂³	semidirect
237. D₄×Dic₄₃	C₂³	semidirect
238. D₄×Dic₄₃	C₂³	semidirect
239. D₄×Dic₄₃	C₂³	semidirect
251. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
252. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
254. #13063284	C₂³	semidirect
255. #13063284	C₂³	semidirect
256. #13063284	C₂³	semidirect
260. #13063283	C₂³	semidirect
261. #13063283	C₂³	semidirect
262. #13063281	C₂³	semidirect
263. #13063281	C₂³	semidirect
265. C₂×C₄⋊Dic₄₃	C₂³	semidirect
266. C₂×C₄⋊Dic₄₃	C₂³	semidirect
267. C₂×C₄⋊Dic₄₃	C₂³	semidirect
269. C₂×Dic₄₃⋊C₄	C₂³	semidirect
274. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
275. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
285. C₂×C₄×Dic₄₃	C₂³	semidirect
286. C₂×C₄×Dic₄₃	C₂³	semidirect
297. C₂²×D₄×C₄₃	C₂³	semidirect
299. C₄⋊Q₈×C₄₃	C₂³	semidirect
300. #127×C₄₃	C₂³	semidirect
301. #124×C₄₃	C₂³	semidirect
302. #123×C₄₃	C₂³	semidirect
303. C₂²⋊Q₈×C₄₃	C₂³	semidirect
307. #121×C₄₃	C₂³	semidirect
308. #121×C₄₃	C₂³	semidirect
309. #121×C₄₃	C₂³	semidirect
310. #120×C₄₃	C₂³	semidirect
313. C₄×D₄×C₄₃	C₂³	semidirect
314. C₄×D₄×C₄₃	C₂³	semidirect
316. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
318. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
335. C₂×D₄×C₄₃	#41	semidirect
464. C₂³×C₄₃	C₂×#41	semidirect
491. D₄×C₄₃	C₂×#41	semidirect
499. C₂×C₄×C₄₃	C₂×#41	semidirect
543. C₄×D₄₃	H(5,𝔽₂)	semidirect
592. #3496	D₄₃	semidirect
638. #547	C₂×D₄₃	semidirect
644. #546	C₂×D₄₃	semidirect
647. D₄²	C₂×D₄₃	semidirect
657. #537	C₂×D₄₃	semidirect
660. #534	C₂×D₄₃	semidirect
667. #532	C₂×D₄₃	semidirect
691. C₂×#121	C₂×D₄₃	semidirect
719. C₄₃	#62773	semidirect
741. C₂²×D₄	C₂²×D₄₃	semidirect
759. C₄⋊Q₈	C₂²×D₄₃	semidirect
761. #127	C₂²×D₄₃	semidirect
777. #124	C₂²×D₄₃	semidirect
788. #123	C₂²×D₄₃	semidirect
804. C₂²⋊Q₈	C₂²×D₄₃	semidirect
821. #121	C₂²×D₄₃	semidirect
822. #121	C₂²×D₄₃	semidirect
823. #121	C₂²×D₄₃	semidirect
829. #120	C₂²×D₄₃	semidirect
870. C₄×D₄	C₂²×D₄₃	semidirect
871. C₄×D₄	C₂²×D₄₃	semidirect
892. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
904. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
951. C₂×D₄	#10621900	semidirect
1075. C₂³	C₂×#10621900	semidirect
1095. D₄	C₂×#10621900	semidirect
1135. C₂×C₄	C₂×#10621900	semidirect

Maximal subgroups

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

subgroup	index
#19148635	2
#19148618	2
#19148524	2
#19148444	2
#19148429	2
#19148398	2
#19148302	2
#19148283	2
#19148226	2
#19148200	2
#19148158	2
D₄×#10621900	2
#19148012	2
#19148001	2
#19147890	2
C₂×#14583409	2
H(5,𝔽₂)×Dic₄₃	2
C₂×C₄×D₄×D₄₃	2
C₄₃×#3496	2
#62773	43