Subgroups — #26004622

Order 11008.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148634	C₂	1	4	yes	maximal, complemented
2	#19148617	C₂	1	4	yes	maximal, complemented
3	#19148537	C₂	1	4	yes	maximal, complemented
4	#19148523	C₂	1	4	yes	maximal, complemented
5	#19148440	C₂	1	2	yes	maximal, complemented
6	#19148425	C₂	1	4	yes	maximal, complemented
7	#19148393	C₂	1	1	yes	maximal, characteristic, complemented
8	#19148354	C₂	1	1	yes	maximal, characteristic, complemented
9	#19148298	C₂	1	2	yes	maximal, complemented
10	#19148280	C₂	1	4	yes	maximal, complemented
11	#19148231	C₂	1	1	yes	maximal, characteristic, complemented
12	#19148226	C₂	1	1	yes	maximal, characteristic, complemented
13	#19148205	C₂	1	4	yes	maximal, complemented
14	#19148199	C₂	1	4	yes	maximal, complemented
15	#19148157	C₂	1	4	yes	maximal, complemented
16	D₄×#10621898	C₂	1	4	yes	maximal, complemented
17	#19148011	C₂	1	2	yes	maximal, complemented
18	#19148004	C₂	1	4	yes	maximal, complemented
19	#19147888	C₂	1	2	yes	maximal, complemented
20	C₂×#14583408	C₂	1	4	yes	maximal, complemented
21	C₄×#13063370	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×H(5,𝔽₂)×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063370	C₂²	1	1	yes	characteristic
25	C₂²×#10621898	C₂²	1	4	yes	complemented
26	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
28	#14583634	C₂²	1	4	yes	complemented
29	#14583632	C₂²	1	4	yes	complemented
30	#14583621	C₂²	1	4	yes	complemented
31	#14583612	C₂²	1	4	yes	complemented
32	#14583609	C₂²	1	4	yes	complemented
33	#14583608	C₂²	1	4	yes	complemented
34	#14583608	C₂²	1	4	yes	complemented
35	#14583606	C₂²	1	4	yes	complemented
36	#14583604	C₂²	1	4	yes	complemented
37	#14583599	C₂²	1	4	yes	complemented
38	#14583598	C₂²	1	8	yes	complemented
39	#14583598	C₂²	1	8	yes	complemented
40	#14583597	C₂²	1	4	yes	complemented
41	#14583595	C₂²	1	8	yes	complemented
42	#14583593	C₂²	1	4	yes	complemented
43	#14583593	C₂²	1	4	yes	complemented
44	#14583590	C₂²	1	4	yes	complemented
45	#14583588	C₂²	1	4	yes	complemented
46	#14583582	C₂²	1	8	yes	complemented
47	#14583578	C₂²	1	8	yes	complemented
48	#14583578	C₂²	1	8	yes	complemented
49	#14583575	C₂²	1	8	yes	complemented
50	#14583573	C₂²	1	8	yes	complemented
51	#14583573	C₂²	1	8	yes	complemented
52	#14583573	C₂²	1	8	yes	complemented
53	#14583570	C₂²	1	4	yes	complemented
54	D₄×Dic₈₆	C₂²	1	4	yes	complemented
55	#14583558	C₂²	1	8	yes	complemented
56	#14583554	C₂²	1	4	yes	complemented
57	#14583550	C₂²	1	4	yes	complemented
58	#14583550	C₂²	1	4	yes	complemented
59	#14583548	C₂²	1	4	yes	complemented
60	#14583545	C₂²	1	8	yes	complemented
61	#14583545	C₂²	1	8	yes	complemented
62	#14583544	C₂²	1	4	yes	complemented
63	#14583544	C₂²	1	4	yes	complemented
64	#14583543	C₂²	1	4	yes	complemented
65	#14583539	C₂²	1	8	yes	complemented
66	#14583539	C₂²	1	8	yes	complemented
67	#14583539	C₂²	1	8	yes	complemented
68	#14583537	C₂²	1	4	yes	complemented
69	#14583537	C₂²	1	4	yes	complemented
70	#14583537	C₂²	1	4	yes	complemented
71	D₄×D₁₇₂	C₂²	1	4	yes	complemented
72	D₄×D₁₇₂	C₂²	1	4	yes	complemented
73	D₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
74	D₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
75	D₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
76	#14583527	C₂²	1	2	yes	complemented
77	#14583525	C₂²	1	4	yes	complemented
78	#14583521	C₂²	1	4	yes	complemented
79	#14583520	C₂²	1	4	yes	complemented
80	#14583504	C₂²	1	4	yes	complemented
81	#14583500	C₂²	1	4	yes	complemented
82	#14583496	C₂²	1	8	yes	complemented
83	#14583491	C₂²	1	8	yes	complemented
84	#14583491	C₂²	1	8	yes	complemented
85	#14583487	C₂²	1	8	yes	complemented
86	#14583482	C₂²	1	8	yes	complemented
87	#14583482	C₂²	1	8	yes	complemented
88	#14583482	C₂²	1	8	yes	complemented
89	#14583477	C₂²	1	2	yes	complemented
90	#14583468	C₂²	1	2	yes	complemented
91	#14583463	C₂²	1	2	yes	complemented
92	#14583461	C₂²	1	4	yes	complemented
93	#14583458	C₂²	1	4	yes	complemented
94	#14583458	C₂²	1	4	yes	complemented
95	#14583453	C₂²	1	2	yes	complemented
96	#14583453	C₂²	1	2	yes	complemented
97	#14583452	C₂²	1	2	yes	complemented
98	#14583449	C₂²	1	4	yes	complemented
99	#14583446	C₂²	1	2	yes	complemented
100	#14583446	C₂²	1	2	yes	complemented
101	#14583446	C₂²	1	4	yes	complemented
102	#14583445	C₂²	1	2	yes	complemented
103	#14583436	C₂²	1	2	yes	complemented
104	#14583436	C₂²	1	2	yes	complemented
105	#14583436	C₂²	1	4	yes	complemented
106	#14583433	C₂²	1	8	yes	complemented
107	#14583433	C₂²	1	4	yes	complemented
108	#14583431	C₂²	1	2	yes	complemented
109	#14583431	C₂²	1	2	yes	complemented
110	#14583429	C₂²	1	4	yes	complemented
111	#14583429	C₂²	1	4	yes	complemented
112	#14583429	C₂²	1	8	yes	complemented
113	#14583427	C₂²	1	4	yes	complemented
114	#14583427	C₂²	1	4	yes	complemented
115	#14583411	C₂²	1	2	yes	complemented
116	#14583410	C₂²	1	8	yes	complemented
117	#14583408	C₂²	1	8	yes	complemented
118	#14583408	C₂²	1	4	yes	complemented
119	#14583408	C₂²	1	4	yes	complemented
120	#14583408	C₂²	1	8	yes	complemented
121	#14583408	C₂²	1	8	yes	complemented
122	#14583408	C₂²	1	8	yes	complemented
123	#14583408	C₂²	1	8	yes	complemented
124	#14583408	C₂²	1	8	yes	complemented
125	#14583408	C₂²	1	8	yes	complemented
126	#14583408	C₂²	1	8	yes	complemented
127	#14583406	C₂²	1	2	yes	complemented
128	C₂×#13063310	C₂²	1	4	yes	complemented
129	C₂×#13063307	C₂²	1	4	yes	complemented
130	C₂×#13063303	C₂²	1	4	yes	complemented
131	C₂×#13063302	C₂²	1	4	yes	complemented
132	C₂×#13063298	C₂²	1	4	yes	complemented
133	C₂×#13063297	C₂²	1	4	yes	complemented
134	C₂×#13063295	C₂²	1	4	yes	complemented
135	C₂×#13063293	C₂²	1	4	yes	complemented
136	#14583380	C₂²	1	2	yes	complemented
137	#14583378	C₂²	1	4	yes	complemented
138	#14583374	C₂²	1	1	yes	characteristic
139	#14583372	C₂²	1	4	yes	complemented
140	#14583371	C₂²	1	4	yes	complemented
141	C₄×#10621898	C₂²	1	2	yes	complemented
142	C₄×#10621898	C₂²	1	4	yes	complemented
143	C₄×#10621898	C₂²	1	4	yes	complemented
144	C₄×#10621900	C₂²	1	4	yes	complemented
145	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×D₁₇₂	C₂²	1	4	yes	complemented
147	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
148	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
150	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
151	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
152	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
153	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
154	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
155	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
156	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
157	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
158	C₂×#13063282	C₂²	1	4	yes	complemented
159	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
160	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
161	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
162	C₂×H(5,𝔽₂)×C₄₃	C₂²	1	1	yes	characteristic
163	C₄₃×#520	C₂²	1	2	yes	complemented
164	C₄₃×#520	C₂²	1	4	yes	complemented
165	C₄₃×#518	C₂²	1	1	yes	characteristic
166	C₄₃×#518	C₂²	1	4	yes	complemented
167	C₄₃×#518	C₂²	1	4	yes	complemented
168	C₄×#41×C₄₃	C₂²	1	2	yes	complemented
169	C₄×#41×C₄₃	C₂²	1	4	yes	complemented
170	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
171	C₂×C₄×D₄×C₄₃	C₂²	1	4	yes	complemented
172	C₂×C₄×D₄×C₄₃	C₂²	1	4	yes	complemented
173	C₂⁴×D₄₃	C₂³	1	2	yes	—
174	#13063370	—	2	8	no	—
175	C₂×#10621898	—	4	16	no	—
176	C₂×#10621898	C₂³	1	2	yes	—
177	C₂×#10621898	C₂³	1	4	yes	—
178	C₂×#10621898	C₂³	1	8	yes	—
179	C₂×#10621898	C₂³	1	4	yes	—
180	C₂×#10621898	C₂³	1	8	yes	complemented
181	C₂×#10621898	C₂³	1	8	yes	complemented
182	C₂×#10621900	C₂³	1	4	yes	—
183	C₂²×Dic₈₆	C₂³	1	4	yes	complemented
184	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
185	C₂²×D₁₇₂	C₂³	1	4	yes	—
186	C₂²×D₁₇₂	C₂³	1	4	yes	—
187	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
188	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
189	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
190	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
191	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	complemented
192	C₂×D₄×D₄₃	—	2	8	no	—
193	C₂×D₄×D₄₃	C₂³	1	4	yes	—
194	C₂×D₄×D₄₃	C₂³	1	4	yes	—
195	C₂×D₄×D₄₃	C₂³	1	4	yes	—
196	C₂³×Dic₄₃	C₂³	1	2	yes	—
197	C₂²×C₄×D₄₃	—	4	8	no	—
198	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
201	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
203	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
204	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
205	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
206	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
207	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
208	C₂²×C₄×D₄₃	C₂³	1	4	yes	complemented
209	#13063325	C₂³	1	4	yes	complemented
210	#13063324	C₂³	1	2	yes	complemented
211	#13063324	C₂³	1	4	yes	complemented
212	#13063324	C₂³	1	2	yes	complemented
213	#13063323	C₂³	1	2	yes	complemented
214	#13063322	C₂³	1	4	yes	—
215	#13063321	C₂³	1	4	yes	—
216	#13063321	C₂³	1	2	yes	complemented
217	#13063320	C₂³	1	4	yes	complemented
218	#13063320	C₂³	1	8	yes	complemented
219	#13063320	C₂³	1	8	yes	complemented
220	#13063320	C₂³	1	4	yes	complemented
221	#13063319	C₂³	1	8	yes	complemented
222	#13063319	C₂³	1	8	yes	complemented
223	#13063319	C₂³	1	8	yes	complemented
224	#13063318	C₂³	1	4	yes	complemented
225	#13063318	C₂³	1	8	yes	complemented
226	#13063318	C₂³	1	4	yes	complemented
227	#13063317	C₂³	1	8	yes	complemented
228	#13063317	C₂³	1	4	yes	complemented
229	#13063316	C₂³	1	4	yes	complemented
230	#13063316	C₂³	1	2	yes	complemented
231	#13063316	C₂³	1	2	yes	complemented
232	#13063315	C₂³	1	4	yes	complemented
233	#13063315	C₂³	1	8	yes	complemented
234	#13063315	C₂³	1	4	yes	complemented
235	#13063314	C₂³	1	4	yes	—
236	#13063314	C₂³	1	2	yes	complemented
237	#13063313	C₂³	1	4	yes	—
238	#13063313	C₂³	1	8	yes	complemented
239	#13063313	C₂³	1	8	yes	complemented
240	#13063312	C₂³	1	2	yes	complemented
241	#13063311	C₂³	1	4	yes	complemented
242	#13063311	C₂³	1	8	yes	complemented
243	#13063311	C₂³	1	8	yes	complemented
244	#13063311	C₂³	1	4	yes	complemented
245	#13063310	C₂³	1	4	yes	—
246	#13063310	C₂³	1	8	yes	—
247	#13063310	C₂³	1	4	yes	—
248	#13063310	C₂³	1	8	yes	complemented
249	#13063310	C₂³	1	8	yes	complemented
250	#13063310	C₂³	1	8	yes	complemented
251	#13063310	C₂³	1	8	yes	complemented
252	#13063309	C₂³	1	8	yes	—
253	#13063309	C₂³	1	4	yes	—
254	#13063308	C₂³	1	8	yes	—
255	#13063308	C₂³	1	8	yes	complemented
256	#13063308	C₂³	1	8	yes	complemented
257	#13063308	C₂³	1	8	yes	complemented
258	#13063308	C₂³	1	8	yes	complemented
259	#13063307	C₂³	1	8	yes	—
260	#13063307	C₂³	1	4	yes	—
261	#13063307	C₂³	1	4	yes	—
262	#13063307	C₂³	1	8	yes	complemented
263	#13063307	C₂³	1	8	yes	complemented
264	#13063307	C₂³	1	8	yes	complemented
265	#13063306	C₂³	1	4	yes	—
266	#13063306	C₂³	1	8	yes	complemented
267	#13063305	C₂³	1	2	yes	—
268	#13063305	C₂³	1	2	yes	—
269	#13063304	C₂³	1	8	yes	complemented
270	#13063304	C₂³	1	8	yes	complemented
271	#13063304	C₂³	1	8	yes	complemented
272	#13063304	C₂³	1	4	yes	complemented
273	#13063303	C₂³	1	4	yes	—
274	#13063303	C₂³	1	8	yes	—
275	#13063303	C₂³	1	4	yes	—
276	#13063303	C₂³	1	8	yes	complemented
277	#13063303	C₂³	1	8	yes	complemented
278	#13063303	C₂³	1	8	yes	complemented
279	#13063302	C₂³	1	4	yes	—
280	#13063302	C₂³	1	8	yes	—
281	#13063302	C₂³	1	4	yes	—
282	#13063302	C₂³	1	8	yes	complemented
283	#13063302	C₂³	1	8	yes	complemented
284	#13063302	C₂³	1	8	yes	complemented
285	#13063302	C₂³	1	8	yes	complemented
286	#13063301	C₂³	1	2	yes	—
287	#13063301	C₂³	1	2	yes	—
288	#13063301	C₂³	1	4	yes	complemented
289	#13063300	C₂³	1	2	yes	—
290	#13063300	C₂³	1	4	yes	—
291	#13063300	C₂³	1	4	yes	—
292	#13063300	C₂³	1	2	yes	—
293	#13063299	C₂³	1	8	yes	—
294	#13063299	C₂³	1	4	yes	—
295	#13063299	C₂³	1	8	yes	—
296	#13063299	C₂³	1	4	yes	—
297	#13063299	C₂³	1	8	yes	complemented
298	#13063299	C₂³	1	4	yes	complemented
299	#13063299	C₂³	1	8	yes	complemented
300	#13063298	C₂³	1	8	yes	—
301	#13063298	C₂³	1	4	yes	—
302	#13063298	C₂³	1	4	yes	—
303	#13063298	C₂³	1	8	yes	complemented
304	#13063298	C₂³	1	8	yes	complemented
305	#13063298	C₂³	1	8	yes	complemented
306	#13063298	C₂³	1	8	yes	complemented
307	#13063297	C₂³	1	8	yes	—
308	#13063297	C₂³	1	8	yes	—
309	#13063297	C₂³	1	4	yes	—
310	#13063297	C₂³	1	8	yes	—
311	#13063297	C₂³	1	4	yes	—
312	#13063297	C₂³	1	8	yes	complemented
313	#13063297	C₂³	1	8	yes	complemented
314	#13063296	C₂³	1	2	yes	—
315	#13063296	C₂³	1	2	yes	—
316	#13063296	C₂³	1	4	yes	complemented
317	#13063295	C₂³	1	8	yes	—
318	#13063295	C₂³	1	8	yes	—
319	#13063295	C₂³	1	8	yes	—
320	#13063295	C₂³	1	4	yes	—
321	#13063295	C₂³	1	8	yes	—
322	#13063294	C₂³	1	8	yes	—
323	#13063294	C₂³	1	8	yes	complemented
324	#13063293	C₂³	1	8	yes	—
325	#13063293	C₂³	1	8	yes	—
326	#13063293	C₂³	1	4	yes	—
327	#13063293	C₂³	1	8	yes	—
328	#13063293	C₂³	1	8	yes	complemented
329	C₄×Dic₈₆	C₂³	1	4	yes	complemented
330	C₄×Dic₈₆	C₂³	1	4	yes	complemented
331	C₄×Dic₈₆	C₂³	1	4	yes	complemented
332	C₄×Dic₈₆	C₂³	1	2	yes	complemented
333	C₄×Dic₈₆	C₂³	1	2	yes	complemented
334	C₄×Dic₈₆	C₂³	1	4	yes	complemented
335	#13063290	C₂³	1	4	yes	complemented
336	C₄×D₁₇₂	C₂³	1	4	yes	—
337	C₄×D₁₇₂	C₂³	1	4	yes	—
338	C₄×D₁₇₂	C₂³	1	8	yes	—
339	C₄×D₁₇₂	C₂³	1	4	yes	—
340	C₄×D₁₇₂	C₂³	1	4	yes	—
341	C₄×D₁₇₂	C₂³	1	4	yes	—
342	C₄×D₁₇₂	C₂³	1	4	yes	—
343	C₄×D₁₇₂	C₂³	1	8	yes	complemented
344	C₄×D₁₇₂	C₂³	1	2	yes	complemented
345	C₄×D₁₇₂	C₂³	1	8	yes	complemented
346	C₄×D₁₇₂	C₂³	1	2	yes	complemented
347	D₄×Dic₄₃	C₂³	1	4	yes	—
348	D₄×Dic₄₃	C₂³	1	4	yes	—
349	D₄×Dic₄₃	C₂³	1	4	yes	—
350	D₄×Dic₄₃	C₂³	1	4	yes	—
351	#13063287	C₂³	1	4	yes	—
352	#13063287	C₂³	1	4	yes	—
353	#13063287	C₂³	1	4	yes	complemented
354	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
355	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
356	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
357	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
358	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
359	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
360	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
361	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
362	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
363	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
364	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
365	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	complemented
366	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	complemented
367	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
368	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	complemented
369	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
370	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
371	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	complemented
372	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
373	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
374	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
375	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
376	#13063284	C₂³	1	2	yes	—
377	#13063284	C₂³	1	4	yes	complemented
378	#13063284	C₂³	1	4	yes	complemented
379	#13063283	C₂³	1	4	yes	complemented
380	#13063282	C₂³	1	4	yes	—
381	#13063282	C₂³	1	8	yes	—
382	#13063282	C₂³	1	4	yes	—
383	#13063282	C₂³	1	4	yes	complemented
384	#13063282	C₂³	1	8	yes	complemented
385	#13063282	C₂³	1	8	yes	complemented
386	#13063282	C₂³	1	4	yes	complemented
387	#13063282	C₂³	1	4	yes	complemented
388	#13063281	C₂³	1	8	yes	complemented
389	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	complemented
391	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
392	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
393	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
394	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
395	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
396	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
397	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
398	C₄⋊C₄×D₄₃	C₂³	1	4	yes	complemented
399	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
400	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
401	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	complemented
402	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
403	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
404	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
405	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
406	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
407	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
408	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	complemented
409	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	complemented
410	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
411	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
412	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	complemented
413	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
414	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
415	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
416	C₂×C₄×Dic₄₃	C₂³	1	4	yes	complemented
417	C₄²×D₄₃	C₂³	1	2	yes	—
418	C₄²×D₄₃	C₂³	1	2	yes	—
419	C₄²×D₄₃	C₂³	1	2	yes	—
420	C₄²×D₄₃	C₂³	1	2	yes	—
421	C₄²×D₄₃	C₂³	1	4	yes	complemented
422	H(5,𝔽₂)×C₄₃	—	2	8	no	—
423	C₂×#41×C₄₃	C₂³	1	2	yes	—
424	C₂×#41×C₄₃	C₂³	1	4	yes	—
425	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
426	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
427	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
428	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
429	C₂³×C₄×C₄₃	C₂³	1	4	yes	complemented
430	C₄×Q₈×C₄₃	C₂³	1	2	yes	complemented
431	C₄×Q₈×C₄₃	C₂³	1	4	yes	complemented
432	C₄×Q₈×C₄₃	C₂³	1	2	yes	complemented
433	C₄×D₄×C₄₃	C₂³	1	4	yes	—
434	C₄×D₄×C₄₃	C₂³	1	4	yes	—
435	C₄×D₄×C₄₃	C₂³	1	4	yes	—
436	C₄×D₄×C₄₃	C₂³	1	4	yes	—
437	C₄×D₄×C₄₃	C₂³	1	8	yes	—
438	C₄×D₄×C₄₃	C₂³	1	4	yes	—
439	C₄×D₄×C₄₃	C₂³	1	4	yes	—
440	C₄×D₄×C₄₃	C₂³	1	4	yes	complemented
441	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
442	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
443	C₄×D₄×C₄₃	C₂³	1	2	yes	complemented
444	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
445	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
446	C₄×D₄×C₄₃	C₂³	1	2	yes	complemented
447	#117×C₄₃	C₂³	1	2	yes	—
448	#117×C₄₃	C₂³	1	8	yes	complemented
449	#117×C₄₃	C₂³	1	4	yes	complemented
450	#117×C₄₃	C₂³	1	4	yes	complemented
451	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
452	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	complemented
453	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	complemented
454	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
455	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
456	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	complemented
457	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	complemented
458	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
459	C₂×C₄²×C₄₃	C₂³	1	4	yes	complemented
460	C₂×C₄²×C₄₃	C₂³	1	4	yes	complemented
461	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
462	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
463	C₂³×D₄₃	—	2	8	no	—
464	C₂³×D₄₃	—	4	4	no	—
465	C₂³×D₄₃	—	4	4	no	—
466	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
467	C₂³×D₄₃	C₂⁴	1	4	yes	—
468	C₂³×D₄₃	C₂⁴	1	4	yes	—
469	C₂³×D₄₃	C₂⁴	1	4	yes	—
470	C₂³×D₄₃	C₂⁴	1	2	yes	—
471	#41×C₄₃	—	2	16	no	—
472	#41×C₄₃	—	2	8	no	—
473	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
474	C₂×D₄×C₄₃	—	2	16	no	—
475	C₂×D₄×C₄₃	—	2	16	no	—
476	C₂×D₄×C₄₃	#41	1	8	yes	complemented
477	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
478	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
479	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
480	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
481	C₂²×C₄×C₄₃	—	4	4	no	—
482	C₂²×C₄×C₄₃	—	4	8	no	—
483	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
485	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
486	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
488	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
490	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
492	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
493	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
494	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
495	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
496	C₂×C₂²⋊D₄₃	—	2	8	no	—
497	C₂×C₂²⋊D₄₃	—	2	16	no	—
498	C₂×C₂²⋊D₄₃	—	4	8	no	—
499	C₂×C₂²⋊D₄₃	—	4	8	no	—
500	C₂×C₂²⋊D₄₃	—	4	8	no	—
501	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
502	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
503	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
504	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
505	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
506	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
507	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
508	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
509	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
510	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
511	C₂²×Dic₄₃	—	4	4	no	—
512	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
513	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
514	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
515	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
516	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
518	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
519	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
520	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
521	#10621900	—	2	16	no	—
522	D₄×D₄₃	—	2	16	no	—
523	D₄×D₄₃	—	2	16	no	—
524	D₄×D₄₃	—	2	16	no	—
525	#10621898	—	2	8	no	—
526	#10621898	—	2	16	no	—
527	#10621898	—	4	16	no	—
528	#10621898	—	4	16	no	—
529	#10621898	—	4	16	no	—
530	#10621898	—	4	8	no	—
531	C₂×D₁₇₂	—	2	4	no	—
532	C₂×D₁₇₂	—	4	8	no	—
533	C₂×D₁₇₂	—	4	8	no	—
534	C₂×D₁₇₂	C₂⁴	1	4	yes	—
535	C₂×D₁₇₂	C₂⁴	1	2	yes	—
536	C₂×D₁₇₂	C₂⁴	1	4	yes	—
537	C₂×D₁₇₂	C₂⁴	1	4	yes	—
538	C₂×D₁₇₂	C₂⁴	1	8	yes	—
539	C₂×D₁₇₂	C₂⁴	1	8	yes	—
540	C₂×C₄×D₄₃	—	2	4	no	—
541	C₂×C₄×D₄₃	—	2	4	no	—
542	C₂×C₄×D₄₃	—	2	16	no	—
543	C₂×C₄×D₄₃	—	4	4	no	—
544	C₂×C₄×D₄₃	—	4	8	no	—
545	C₂×C₄×D₄₃	—	4	2	no	—
546	C₂×C₄×D₄₃	—	4	8	no	—
547	C₂×C₄×D₄₃	—	4	4	no	—
548	C₂×C₄×D₄₃	—	4	8	no	—
549	C₂×C₄×D₄₃	—	4	4	no	—
550	C₂×C₄×D₄₃	—	4	8	no	—
551	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
552	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
553	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
554	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
558	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
559	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
560	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
561	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
562	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
563	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
564	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
565	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
566	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
567	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
568	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₈₆	—	4	8	no	—
570	C₂×Dic₈₆	C₂⁴	1	2	yes	—
571	C₂×Dic₈₆	C₂⁴	1	4	yes	—
572	C₂×Dic₈₆	C₂⁴	1	4	yes	—
573	C₂×Dic₈₆	C₂⁴	1	8	yes	—
574	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
575	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
576	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
577	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
578	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
579	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
580	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
581	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
582	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
583	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
584	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
585	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
586	C₄²×C₄₃	C₂⁴	1	2	yes	—
587	C₄²×C₄₃	C₂⁴	1	2	yes	—
588	C₄²×C₄₃	C₂⁴	1	4	yes	—
589	C₄²×C₄₃	C₂⁴	1	4	yes	—
590	C₄²×C₄₃	C₂⁴	1	8	yes	—
591	C₄²×C₄₃	C₂⁴	1	4	yes	—
592	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
593	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
594	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
595	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
596	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
597	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
598	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
599	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
600	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
601	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
602	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
603	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
604	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
605	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
606	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
607	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
608	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
609	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
610	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
611	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
612	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
613	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
614	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
615	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
616	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
617	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
618	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
619	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
620	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
621	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
622	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
623	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
624	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
625	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
626	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
627	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
628	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
629	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
630	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
631	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
632	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
633	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
634	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
635	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
636	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
637	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
638	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
639	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
640	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
641	C₄×Dic₄₃	C₂⁴	1	2	yes	—
642	C₄×Dic₄₃	C₂⁴	1	2	yes	—
643	C₄×Dic₄₃	C₂⁴	1	2	yes	—
644	C₄×Dic₄₃	C₂⁴	1	2	yes	—
645	C₄×Dic₄₃	C₂⁴	1	2	yes	—
646	C₄×Dic₄₃	C₂⁴	1	2	yes	—
647	C₄×Dic₄₃	C₂⁴	1	4	yes	—
648	C₄×Dic₄₃	C₂⁴	1	4	yes	—
649	C₄×Dic₄₃	C₂⁴	1	4	yes	—
650	C₄×Dic₄₃	C₂⁴	1	8	yes	—
651	C₂³×C₄₃	—	2	8	no	—
652	C₂³×C₄₃	—	4	2	no	—
653	C₂³×C₄₃	—	4	2	no	—
654	C₂³×C₄₃	—	4	4	no	—
655	C₂³×C₄₃	—	4	4	no	—
656	C₂³×C₄₃	C₂×#41	1	8	yes	complemented
657	C₂³×C₄₃	C₂⁵	1	4	yes	—
658	C₂³×C₄₃	C₂⁵	1	4	yes	—
659	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
660	C₂²×D₄₃	—	2	2	no	—
661	C₂²×D₄₃	—	2	2	no	—
662	C₂²×D₄₃	—	2	2	no	—
663	C₂²×D₄₃	—	2	4	no	—
664	C₂²×D₄₃	—	2	8	no	—
665	C₂²×D₄₃	—	2	8	no	—
666	C₂²×D₄₃	—	2	8	no	—
667	C₂²×D₄₃	—	2	8	no	—
668	C₂²×D₄₃	—	2	8	no	—
669	C₂²×D₄₃	—	4	4	no	—
670	C₂²×D₄₃	—	4	2	no	—
671	C₂²×D₄₃	—	4	4	no	—
672	C₂²×D₄₃	—	4	2	no	—
673	C₂²×D₄₃	—	4	4	no	—
674	C₂²×D₄₃	—	4	4	no	—
675	C₂²×D₄₃	—	4	32	no	—
676	C₂²×D₄₃	C₂⁵	1	4	yes	—
677	C₂²×D₄₃	C₂⁵	1	4	yes	—
678	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
679	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
680	Q₈×C₄₃	—	2	4	no	—
681	D₄×C₄₃	—	2	16	no	—
682	D₄×C₄₃	—	2	8	no	—
683	D₄×C₄₃	—	2	4	no	—
684	D₄×C₄₃	C₂×#41	1	16	yes	complemented
685	C₂×C₄×C₄₃	—	2	8	no	—
686	C₂×C₄×C₄₃	—	2	8	no	—
687	C₂×C₄×C₄₃	—	2	2	no	—
688	C₂×C₄×C₄₃	—	2	8	no	—
689	C₂×C₄×C₄₃	—	2	8	no	—
690	C₂×C₄×C₄₃	—	4	4	no	—
691	C₂×C₄×C₄₃	—	4	2	no	—
692	C₂×C₄×C₄₃	—	4	4	no	—
693	C₂×C₄×C₄₃	—	4	1	no	—
694	C₂×C₄×C₄₃	—	4	4	no	—
695	C₂×C₄×C₄₃	—	4	8	no	—
696	C₂×C₄×C₄₃	—	4	4	no	—
697	C₂×C₄×C₄₃	C₂×#41	1	4	yes	complemented
698	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
699	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
700	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
701	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
702	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
703	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
704	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
705	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
706	C₂²⋊D₄₃	—	2	8	no	—
707	C₂²⋊D₄₃	—	2	16	no	—
708	C₂²⋊D₄₃	—	2	16	no	—
709	C₂²⋊D₄₃	—	2	8	no	—
710	C₂²⋊D₄₃	—	2	8	no	—
711	C₂²⋊D₄₃	—	2	8	no	—
712	C₂²⋊D₄₃	—	4	8	no	—
713	C₂²⋊D₄₃	—	4	8	no	—
714	C₂²⋊D₄₃	—	4	4	no	—
715	C₂²⋊D₄₃	—	4	8	no	—
716	C₂×Dic₄₃	—	2	2	no	—
717	C₂×Dic₄₃	—	2	8	no	—
718	C₂×Dic₄₃	—	2	8	no	—
719	C₂×Dic₄₃	—	2	2	no	—
720	C₂×Dic₄₃	—	4	4	no	—
721	C₂×Dic₄₃	—	4	2	no	—
722	C₂×Dic₄₃	—	4	4	no	—
723	C₂×Dic₄₃	—	4	1	no	—
724	C₂×Dic₄₃	—	4	4	no	—
725	C₂×Dic₄₃	C₂⁵	1	2	yes	—
726	C₂×Dic₄₃	C₂⁵	1	4	yes	—
727	C₂×Dic₄₃	C₂⁵	1	4	yes	—
728	C₂×Dic₄₃	C₂⁵	1	2	yes	—
729	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
730	C₂×Dic₄₃	C₂⁵	1	4	yes	—
731	C₂×Dic₄₃	C₂⁵	1	4	yes	—
732	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
733	D₁₇₂	—	2	8	no	—
734	D₁₇₂	—	2	8	no	—
735	D₁₇₂	—	2	8	no	—
736	D₁₇₂	—	2	4	no	—
737	D₁₇₂	—	4	8	no	—
738	D₁₇₂	—	4	8	no	—
739	C₄×D₄₃	—	2	2	no	—
740	C₄×D₄₃	—	2	8	no	—
741	C₄×D₄₃	—	2	4	no	—
742	C₄×D₄₃	—	2	4	no	—
743	C₄×D₄₃	—	2	4	no	—
744	C₄×D₄₃	—	2	8	no	—
745	C₄×D₄₃	—	2	2	no	—
746	C₄×D₄₃	—	2	8	no	—
747	C₄×D₄₃	—	2	8	no	—
748	C₄×D₄₃	—	2	2	no	—
749	C₄×D₄₃	—	2	8	no	—
750	C₄×D₄₃	—	4	4	no	—
751	C₄×D₄₃	—	4	4	no	—
752	C₄×D₄₃	—	4	4	no	—
753	C₄×D₄₃	—	4	2	no	—
754	C₄×D₄₃	—	4	8	no	—
755	C₄×D₄₃	—	4	4	no	—
756	C₄×D₄₃	H(5,𝔽₂)	1	4	yes	complemented
757	Dic₈₆	—	2	4	no	—
758	Dic₈₆	—	2	8	no	—
759	Dic₈₆	—	4	8	no	—
760	Dic₈₆	—	4	4	no	—
761	#62773	—	43	1	no	maximal, Sylow
762	C₂²×C₄₃	—	2	1	no	—
763	C₂²×C₄₃	—	2	4	no	—
764	C₂²×C₄₃	—	2	1	no	—
765	C₂²×C₄₃	—	2	4	no	—
766	C₂²×C₄₃	—	2	4	no	—
767	C₂²×C₄₃	—	2	4	no	—
768	C₂²×C₄₃	—	2	4	no	—
769	C₂²×C₄₃	—	4	8	no	—
770	C₂²×C₄₃	—	8	8	no	—
771	C₂²×C₄₃	C₂²×#41	1	8	yes	—
772	C₂²×C₄₃	C₂²×#41	1	2	yes	—
773	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
774	C₂×D₄₃	—	2	8	no	—
775	C₂×D₄₃	—	2	1	no	—
776	C₂×D₄₃	—	2	1	no	—
777	C₂×D₄₃	—	2	1	no	—
778	C₂×D₄₃	—	2	1	no	—
779	C₂×D₄₃	—	2	4	no	—
780	C₂×D₄₃	—	2	4	no	—
781	C₂×D₄₃	—	2	4	no	—
782	C₂×D₄₃	—	2	4	no	—
783	C₂×D₄₃	—	2	4	no	—
784	C₂×D₄₃	—	2	4	no	—
785	C₂×D₄₃	—	4	16	no	—
786	C₂×D₄₃	—	4	16	no	—
787	C₂×D₄₃	—	4	8	no	—
788	C₂×D₄₃	—	8	8	no	—
789	C₂×D₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
790	C₂×D₄₃	#585	1	2	yes	—
791	C₄×C₄₃	—	2	4	no	—
792	C₄×C₄₃	—	2	4	no	—
793	C₄×C₄₃	—	2	1	no	—
794	C₄×C₄₃	—	2	4	no	—
795	C₄×C₄₃	—	2	4	no	—
796	C₄×C₄₃	—	2	2	no	—
797	C₄×C₄₃	C₂²×#41	1	4	yes	—
798	C₄×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
799	Dic₄₃	—	2	4	no	—
800	Dic₄₃	—	2	2	no	—
801	Dic₄₃	—	2	4	no	—
802	Dic₄₃	—	2	4	no	—
803	Dic₄₃	—	2	1	no	—
804	Dic₄₃	—	2	2	no	—
805	Dic₄₃	—	2	4	no	—
806	Dic₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
807	#3520	—	43	4	no	—
808	#3519	—	43	4	no	—
809	#3513	—	43	4	no	—
810	#3513	—	43	4	no	—
811	#3506	—	43	2	no	—
812	#3505	—	43	4	no	—
813	#3501	—	43	1	no	—
814	#3496	—	43	1	no	—
815	#3492	—	43	2	no	—
816	#3490	—	43	4	no	—
817	#3484	—	43	1	no	—
818	#3484	—	43	1	no	—
819	#3481	—	43	4	no	—
820	#3481	—	43	4	no	—
821	#3475	—	43	4	no	—
822	D₄×#41	—	43	4	no	—
823	#3460	—	43	2	no	—
824	#3459	—	43	4	no	—
825	#3444	—	43	2	no	—
826	C₂×#525	—	43	4	no	—
827	C₄×H(5,𝔽₂)	—	43	1	no	—
828	C₄×H(5,𝔽₂)	D₄₃	1	1	yes	characteristic, complemented
829	C₂²×C₄×D₄	—	43	1	no	—
830	C₂×C₄₃	—	2	2	no	—
831	C₂×C₄₃	—	2	8	no	—
832	C₂×C₄₃	—	4	4	no	—
833	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
834	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
835	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
836	D₄₃	—	2	2	no	—
837	D₄₃	—	2	2	no	—
838	D₄₃	—	4	4	no	—
839	D₄₃	—	4	4	no	—
840	C₂×H(5,𝔽₂)	—	43	1	no	—
841	C₂×H(5,𝔽₂)	C₂×D₄₃	1	1	yes	characteristic
842	C₂²×#41	—	43	4	no	—
843	C₂³×D₄	—	43	1	no	—
844	C₂⁴×C₄	—	43	2	no	—
845	#559	—	43	4	no	—
846	#559	—	43	4	no	—
847	#556	—	43	4	no	—
848	#555	—	43	4	no	—
849	#554	—	43	4	no	—
850	#554	—	43	4	no	—
851	#554	—	43	4	no	—
852	#554	—	43	4	no	—
853	#554	—	43	4	no	—
854	#553	—	43	8	no	—
855	#553	—	43	8	no	—
856	#553	—	43	8	no	—
857	#553	—	43	4	no	—
858	#553	—	43	4	no	—
859	#553	—	43	4	no	—
860	#553	—	43	4	no	—
861	#552	—	43	4	no	—
862	#552	—	43	8	no	—
863	#552	—	43	4	no	—
864	#551	—	43	8	no	—
865	#551	—	43	8	no	—
866	#551	—	43	8	no	—
867	#551	—	43	8	no	—
868	#551	—	43	8	no	—
869	#551	—	43	8	no	—
870	#550	—	43	4	no	—
871	D₄×Q₈	—	43	4	no	—
872	#548	—	43	8	no	—
873	#547	—	43	4	no	—
874	#547	—	43	4	no	—
875	#547	—	43	4	no	—
876	#547	—	43	4	no	—
877	#546	—	43	4	no	—
878	#546	—	43	4	no	—
879	#546	—	43	4	no	—
880	#546	—	43	4	no	—
881	#546	—	43	4	no	—
882	#546	—	43	4	no	—
883	#546	—	43	8	no	—
884	#546	—	43	8	no	—
885	#546	—	43	8	no	—
886	#546	—	43	8	no	—
887	#546	—	43	8	no	—
888	D₄²	—	43	4	no	—
889	D₄²	—	43	4	no	—
890	D₄²	—	43	4	no	—
891	D₄²	—	43	4	no	—
892	D₄²	—	43	4	no	—
893	#544	—	43	2	no	—
894	#543	—	43	4	no	—
895	#542	—	43	4	no	—
896	#542	—	43	4	no	—
897	#540	—	43	4	no	—
898	#540	—	43	4	no	—
899	#539	—	43	8	no	—
900	#539	—	43	8	no	—
901	#539	—	43	8	no	—
902	#538	—	43	8	no	—
903	#538	—	43	8	no	—
904	#538	—	43	8	no	—
905	#538	—	43	8	no	—
906	#537	—	43	2	no	—
907	#535	—	43	2	no	—
908	#535	—	43	2	no	—
909	#534	—	43	4	no	—
910	#534	—	43	4	no	—
911	#534	—	43	4	no	—
912	#533	—	43	2	no	—
913	#533	—	43	2	no	—
914	#533	—	43	2	no	—
915	#532	—	43	2	no	—
916	#532	—	43	2	no	—
917	#532	—	43	2	no	—
918	#532	—	43	4	no	—
919	#532	—	43	4	no	—
920	#529	—	43	2	no	—
921	#529	—	43	2	no	—
922	#529	—	43	4	no	—
923	#529	—	43	4	no	—
924	#529	—	43	4	no	—
925	#529	—	43	2	no	—
926	#529	—	43	2	no	—
927	#529	—	43	8	no	—
928	#529	—	43	4	no	—
929	#529	—	43	4	no	—
930	#529	—	43	8	no	—
931	#529	—	43	4	no	—
932	#525	—	43	2	no	—
933	#525	—	43	8	no	—
934	#525	—	43	4	no	—
935	#525	—	43	8	no	—
936	#525	—	43	8	no	—
937	#525	—	43	8	no	—
938	#525	—	43	4	no	—
939	#525	—	43	8	no	—
940	#525	—	43	8	no	—
941	#525	—	43	8	no	—
942	#525	—	43	8	no	—
943	#525	—	43	8	no	—
944	#525	—	43	2	no	—
945	C₂×#123	—	43	4	no	—
946	C₂×#123	—	43	4	no	—
947	C₂×C₂²⋊Q₈	—	43	4	no	—
948	C₂×C₂²⋊Q₈	—	43	4	no	—
949	C₂×#121	—	43	4	no	—
950	C₂×#121	—	43	4	no	—
951	C₂×#120	—	43	4	no	—
952	C₂×#120	—	43	4	no	—
953	#520	—	43	4	no	—
954	#520	—	43	2	no	—
955	#520	C₂×D₄₃	1	2	yes	complemented
956	#520	C₂×D₄₃	1	4	yes	complemented
957	#518	—	43	1	no	—
958	#518	—	43	4	no	—
959	#518	—	43	4	no	—
960	#518	C₂×D₄₃	1	1	yes	characteristic
961	#518	C₂×D₄₃	1	4	yes	complemented
962	#518	C₂×D₄₃	1	4	yes	complemented
963	C₄×#41	—	43	4	no	—
964	C₄×#41	—	43	2	no	—
965	C₄×#41	—	43	4	no	—
966	C₄×#41	—	43	4	no	—
967	C₄×#41	C₂×D₄₃	1	2	yes	complemented
968	C₄×#41	C₂×D₄₃	1	4	yes	complemented
969	C₂×C₄×D₄	—	43	1	no	—
970	C₂×C₄×D₄	—	43	2	no	—
971	C₂×C₄×D₄	—	43	4	no	—
972	C₂×C₄×D₄	—	43	4	no	—
973	C₂×C₄×D₄	—	43	4	no	—
974	C₂×C₄×D₄	—	43	4	no	—
975	C₂×C₄×D₄	—	43	4	no	—
976	C₂×C₄×D₄	—	43	4	no	—
977	C₂×C₄×D₄	—	43	4	no	—
978	C₂×C₄×D₄	—	43	1	no	—
979	C₂×C₄×D₄	—	43	2	no	—
980	C₂×C₄×D₄	—	43	1	no	—
981	C₂×C₄×D₄	—	43	4	no	—
982	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
983	C₂×C₄×D₄	C₂×D₄₃	1	4	yes	complemented
984	C₂×C₄×D₄	C₂×D₄₃	1	4	yes	complemented
985	C₂×#117	—	43	4	no	—
986	C₂²×C₄⋊C₄	—	43	1	no	—
987	C₂²×C₂²⋊C₄	—	43	2	no	—
988	C₂²×C₄²	—	43	1	no	—
989	C₄₃	#62773	1	1	yes	characteristic, complemented, Sylow
990	C₂⁵	—	43	2	no	—
991	H(5,𝔽₂)	—	2	8	no	—
992	H(5,𝔽₂)	—	86	8	no	—
993	C₂×#41	—	43	4	no	—
994	C₂×#41	—	43	2	no	—
995	C₂×#41	—	43	4	no	—
996	C₂×#41	—	43	4	no	—
997	C₂×#41	—	43	8	no	—
998	C₂×#41	—	43	8	no	—
999	C₂×#41	—	43	8	no	—
1000	C₂×#41	—	172	16	no	—
1001	C₂×#41	C₂²×D₄₃	1	2	yes	—
1002	C₂×#41	C₂²×D₄₃	1	4	yes	—
1003	C₂²×Q₈	—	43	4	no	—
1004	C₂²×D₄	—	43	2	no	—
1005	C₂²×D₄	—	43	4	no	—
1006	C₂²×D₄	—	43	4	no	—
1007	C₂²×D₄	—	43	4	no	—
1008	C₂²×D₄	—	43	4	no	—
1009	C₂²×D₄	—	43	4	no	—
1010	C₂²×D₄	—	43	4	no	—
1011	C₂²×D₄	—	43	4	no	—
1012	C₂²×D₄	—	43	1	no	—
1013	C₂²×D₄	—	43	4	no	—
1014	C₂²×D₄	—	43	4	no	—
1015	C₂²×D₄	—	86	8	no	—
1016	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
1017	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
1018	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂³×C₄	—	43	2	no	—
1020	C₂³×C₄	—	43	1	no	—
1021	C₂³×C₄	—	43	4	no	—
1022	C₂³×C₄	—	43	1	no	—
1023	C₂³×C₄	—	43	1	no	—
1024	C₂³×C₄	—	43	2	no	—
1025	C₂³×C₄	—	43	4	no	—
1026	C₂³×C₄	—	43	4	no	—
1027	C₂³×C₄	—	43	4	no	—
1028	C₂³×C₄	—	43	4	no	—
1029	C₂³×C₄	—	43	2	no	—
1030	C₂³×C₄	—	43	2	no	—
1031	C₂³×C₄	—	172	8	no	—
1032	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
1033	C₂³×C₄	C₂²×D₄₃	1	4	yes	complemented
1034	C₄⋊Q₈	—	43	2	no	—
1035	C₄⋊Q₈	—	43	2	no	—
1036	C₄⋊Q₈	—	43	2	no	—
1037	C₄⋊Q₈	—	43	4	no	—
1038	C₄⋊Q₈	—	43	4	no	—
1039	#127	—	43	2	no	—
1040	#127	—	43	4	no	—
1041	#127	—	43	4	no	—
1042	#126	—	43	4	no	—
1043	#126	—	43	4	no	—
1044	#126	—	43	8	no	—
1045	#126	—	43	8	no	—
1046	#126	—	43	4	no	—
1047	#126	—	43	4	no	—
1048	#126	—	43	8	no	—
1049	#126	—	43	8	no	—
1050	#126	—	43	8	no	—
1051	#126	—	43	8	no	—
1052	#125	—	43	4	no	—
1053	#125	—	43	4	no	—
1054	#125	—	43	2	no	—
1055	#125	—	43	2	no	—
1056	#125	—	43	8	no	—
1057	#125	—	43	4	no	—
1058	#125	—	43	8	no	—
1059	#125	—	43	4	no	—
1060	#124	—	43	2	no	—
1061	#124	—	43	4	no	—
1062	#124	—	43	2	no	—
1063	#124	—	43	4	no	—
1064	#124	—	43	4	no	—
1065	#124	—	43	8	no	—
1066	#124	—	43	8	no	—
1067	#124	—	43	4	no	—
1068	#124	—	43	8	no	—
1069	#124	—	43	8	no	—
1070	#123	—	43	4	no	—
1071	#123	—	43	8	no	—
1072	#123	—	43	8	no	—
1073	#123	—	43	8	no	—
1074	#123	—	43	8	no	—
1075	#123	—	43	8	no	—
1076	#123	—	43	8	no	—
1077	#123	—	43	4	no	—
1078	#123	—	43	8	no	—
1079	#123	—	43	8	no	—
1080	#123	—	43	8	no	—
1081	#123	—	43	4	no	—
1082	#123	—	43	8	no	—
1083	#123	—	43	8	no	—
1084	#123	—	43	4	no	—
1085	#123	—	43	8	no	—
1086	#123	—	43	8	no	—
1087	#123	—	43	8	no	—
1088	#123	—	43	4	no	—
1089	#123	—	43	4	no	—
1090	#123	—	43	8	no	—
1091	#123	—	43	8	no	—
1092	C₂²⋊Q₈	—	43	2	no	—
1093	C₂²⋊Q₈	—	43	2	no	—
1094	C₂²⋊Q₈	—	43	4	no	—
1095	C₂²⋊Q₈	—	43	8	no	—
1096	C₂²⋊Q₈	—	43	8	no	—
1097	C₂²⋊Q₈	—	43	4	no	—
1098	C₂²⋊Q₈	—	43	8	no	—
1099	C₂²⋊Q₈	—	43	4	no	—
1100	C₂²⋊Q₈	—	43	8	no	—
1101	C₂²⋊Q₈	—	43	8	no	—
1102	C₂²⋊Q₈	—	43	8	no	—
1103	C₂²⋊Q₈	—	43	2	no	—
1104	C₂²⋊Q₈	—	43	2	no	—
1105	C₂²⋊Q₈	—	43	4	no	—
1106	C₂²⋊Q₈	—	43	8	no	—
1107	C₂²⋊Q₈	—	43	4	no	—
1108	C₂²⋊Q₈	—	43	8	no	—
1109	C₂²⋊Q₈	—	43	8	no	—
1110	C₂²⋊Q₈	—	43	8	no	—
1111	C₂²⋊Q₈	—	43	4	no	—
1112	C₂²⋊Q₈	—	43	8	no	—
1113	C₂²⋊Q₈	—	43	8	no	—
1114	#121	—	43	4	no	—
1115	#121	—	43	8	no	—
1116	#121	—	43	8	no	—
1117	#121	—	43	8	no	—
1118	#121	—	43	4	no	—
1119	#121	—	43	2	no	—
1120	#121	—	43	2	no	—
1121	#121	—	43	8	no	—
1122	#121	—	43	8	no	—
1123	#121	—	43	4	no	—
1124	#121	—	43	8	no	—
1125	#121	—	43	8	no	—
1126	#121	—	43	8	no	—
1127	#121	—	43	4	no	—
1128	#121	—	43	4	no	—
1129	#121	—	43	4	no	—
1130	#121	—	43	8	no	—
1131	#121	—	43	2	no	—
1132	#121	—	43	2	no	—
1133	#121	—	43	4	no	—
1134	#121	—	43	4	no	—
1135	#121	—	43	4	no	—
1136	#121	—	43	8	no	—
1137	#121	—	43	8	no	—
1138	#121	—	43	8	no	—
1139	#121	—	43	4	no	—
1140	#121	—	43	8	no	—
1141	#121	—	43	8	no	—
1142	#120	—	43	8	no	—
1143	#120	—	43	8	no	—
1144	#120	—	43	4	no	—
1145	#120	—	43	8	no	—
1146	#120	—	43	8	no	—
1147	#120	—	43	8	no	—
1148	#120	—	43	8	no	—
1149	#120	—	43	4	no	—
1150	#120	—	43	8	no	—
1151	#120	—	43	8	no	—
1152	#120	—	43	8	no	—
1153	#120	—	43	8	no	—
1154	C₄×Q₈	—	43	4	no	—
1155	C₄×Q₈	—	43	2	no	—
1156	C₄×Q₈	—	43	2	no	—
1157	C₄×Q₈	—	43	4	no	—
1158	C₄×Q₈	—	43	4	no	—
1159	C₄×Q₈	—	43	4	no	—
1160	C₄×Q₈	—	43	4	no	—
1161	C₄×Q₈	C₂²×D₄₃	1	2	yes	complemented
1162	C₄×Q₈	C₂²×D₄₃	1	2	yes	complemented
1163	C₄×Q₈	C₂²×D₄₃	1	4	yes	complemented
1164	C₄×D₄	—	43	4	no	—
1165	C₄×D₄	—	43	4	no	—
1166	C₄×D₄	—	43	4	no	—
1167	C₄×D₄	—	43	4	no	—
1168	C₄×D₄	—	43	8	no	—
1169	C₄×D₄	—	43	8	no	—
1170	C₄×D₄	—	43	4	no	—
1171	C₄×D₄	—	43	4	no	—
1172	C₄×D₄	—	43	8	no	—
1173	C₄×D₄	—	43	8	no	—
1174	C₄×D₄	—	43	8	no	—
1175	C₄×D₄	—	43	8	no	—
1176	C₄×D₄	—	43	8	no	—
1177	C₄×D₄	—	43	8	no	—
1178	C₄×D₄	—	43	4	no	—
1179	C₄×D₄	—	43	4	no	—
1180	C₄×D₄	—	43	4	no	—
1181	C₄×D₄	—	43	4	no	—
1182	C₄×D₄	—	43	4	no	—
1183	C₄×D₄	—	43	4	no	—
1184	C₄×D₄	—	43	4	no	—
1185	C₄×D₄	—	43	4	no	—
1186	C₄×D₄	—	43	4	no	—
1187	C₄×D₄	—	43	4	no	—
1188	C₄×D₄	—	43	4	no	—
1189	C₄×D₄	—	43	8	no	—
1190	C₄×D₄	—	43	8	no	—
1191	C₄×D₄	—	43	8	no	—
1192	C₄×D₄	—	43	8	no	—
1193	C₄×D₄	—	43	4	no	—
1194	C₄×D₄	—	43	4	no	—
1195	C₄×D₄	—	43	4	no	—
1196	C₄×D₄	—	43	2	no	—
1197	C₄×D₄	—	43	8	no	—
1198	C₄×D₄	—	43	8	no	—
1199	C₄×D₄	—	43	8	no	—
1200	C₄×D₄	—	43	2	no	—
1201	C₄×D₄	—	43	4	no	—
1202	C₄×D₄	—	43	4	no	—
1203	C₄×D₄	—	43	4	no	—
1204	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1205	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1206	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1207	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1208	C₄×D₄	C₂²×D₄₃	1	8	yes	—
1209	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1210	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1211	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
1212	C₄×D₄	C₂²×D₄₃	1	2	yes	complemented
1213	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
1214	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
1215	C₄×D₄	C₂²×D₄₃	1	4	yes	complemented
1216	C₄×D₄	C₂²×D₄₃	1	2	yes	complemented
1217	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
1218	#117	—	43	2	no	—
1219	#117	—	43	4	no	—
1220	#117	—	43	4	no	—
1221	#117	—	43	4	no	—
1222	#117	—	43	8	no	—
1223	#117	—	43	4	no	—
1224	#117	—	43	8	no	—
1225	#117	—	43	8	no	—
1226	#117	—	43	8	no	—
1227	#117	—	43	4	no	—
1228	#117	—	43	4	no	—
1229	#117	—	43	4	no	—
1230	#117	—	43	4	no	—
1231	#117	C₂²×D₄₃	1	2	yes	—
1232	#117	C₂²×D₄₃	1	4	yes	complemented
1233	#117	C₂²×D₄₃	1	8	yes	complemented
1234	#117	C₂²×D₄₃	1	4	yes	complemented
1235	C₂×C₄⋊C₄	—	43	1	no	—
1236	C₂×C₄⋊C₄	—	43	2	no	—
1237	C₂×C₄⋊C₄	—	43	4	no	—
1238	C₂×C₄⋊C₄	—	43	4	no	—
1239	C₂×C₄⋊C₄	—	43	4	no	—
1240	C₂×C₄⋊C₄	—	43	4	no	—
1241	C₂×C₄⋊C₄	—	43	4	no	—
1242	C₂×C₄⋊C₄	—	43	4	no	—
1243	C₂×C₄⋊C₄	—	43	4	no	—
1244	C₂×C₄⋊C₄	—	43	4	no	—
1245	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	complemented
1247	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	complemented
1248	C₂×C₂²⋊C₄	—	43	2	no	—
1249	C₂×C₂²⋊C₄	—	43	4	no	—
1250	C₂×C₂²⋊C₄	—	43	4	no	—
1251	C₂×C₂²⋊C₄	—	43	2	no	—
1252	C₂×C₂²⋊C₄	—	43	2	no	—
1253	C₂×C₂²⋊C₄	—	43	4	no	—
1254	C₂×C₂²⋊C₄	—	43	4	no	—
1255	C₂×C₂²⋊C₄	—	43	4	no	—
1256	C₂×C₂²⋊C₄	—	43	4	no	—
1257	C₂×C₂²⋊C₄	—	43	4	no	—
1258	C₂×C₂²⋊C₄	—	43	4	no	—
1259	C₂×C₂²⋊C₄	—	43	8	no	—
1260	C₂×C₂²⋊C₄	—	43	8	no	—
1261	C₂×C₂²⋊C₄	—	43	8	no	—
1262	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1263	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1264	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	complemented
1265	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	complemented
1266	C₂×C₄²	—	43	4	no	—
1267	C₂×C₄²	—	43	1	no	—
1268	C₂×C₄²	—	43	1	no	—
1269	C₂×C₄²	—	43	1	no	—
1270	C₂×C₄²	—	43	2	no	—
1271	C₂×C₄²	—	43	2	no	—
1272	C₂×C₄²	—	43	2	no	—
1273	C₂×C₄²	—	43	2	no	—
1274	C₂×C₄²	—	43	4	no	—
1275	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1276	C₂×C₄²	C₂²×D₄₃	1	4	yes	complemented
1277	C₂×C₄²	C₂²×D₄₃	1	4	yes	complemented
1278	C₂⁴	—	43	1	no	—
1279	C₂⁴	—	43	4	no	—
1280	C₂⁴	—	43	4	no	—
1281	C₂⁴	—	43	4	no	—
1282	C₂⁴	—	43	2	no	—
1283	C₂⁴	—	86	8	no	—
1284	C₂⁴	—	172	4	no	—
1285	C₂⁴	—	172	4	no	—
1286	C₂⁴	C₂³×D₄₃	1	4	yes	—
1287	C₂⁴	C₂³×D₄₃	1	2	yes	—
1288	#41	—	2	16	no	—
1289	#41	—	2	8	no	—
1290	#41	—	86	16	no	—
1291	#41	—	86	16	no	—
1292	#41	—	86	8	no	—
1293	#41	—	172	16	no	—
1294	#41	—	172	16	no	—
1295	#41	—	172	8	no	—
1296	#41	—	172	16	no	—
1297	C₂×Q₈	—	43	2	no	—
1298	C₂×Q₈	—	43	4	no	—
1299	C₂×Q₈	—	43	4	no	—
1300	C₂×Q₈	—	43	8	no	—
1301	C₂×Q₈	—	172	8	no	—
1302	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1303	C₂×D₄	—	2	16	no	—
1304	C₂×D₄	—	2	16	no	—
1305	C₂×D₄	—	43	4	no	—
1306	C₂×D₄	—	43	4	no	—
1307	C₂×D₄	—	43	8	no	—
1308	C₂×D₄	—	43	8	no	—
1309	C₂×D₄	—	43	4	no	—
1310	C₂×D₄	—	43	4	no	—
1311	C₂×D₄	—	43	4	no	—
1312	C₂×D₄	—	43	8	no	—
1313	C₂×D₄	—	43	8	no	—
1314	C₂×D₄	—	43	8	no	—
1315	C₂×D₄	—	43	4	no	—
1316	C₂×D₄	—	43	4	no	—
1317	C₂×D₄	—	43	2	no	—
1318	C₂×D₄	—	43	4	no	—
1319	C₂×D₄	—	43	8	no	—
1320	C₂×D₄	—	43	8	no	—
1321	C₂×D₄	—	86	8	no	—
1322	C₂×D₄	—	86	16	no	—
1323	C₂×D₄	—	86	16	no	—
1324	C₂×D₄	—	86	16	no	—
1325	C₂×D₄	—	86	16	no	—
1326	C₂×D₄	—	86	4	no	—
1327	C₂×D₄	—	172	8	no	—
1328	C₂×D₄	—	172	8	no	—
1329	C₂×D₄	—	172	8	no	—
1330	C₂×D₄	—	172	8	no	—
1331	C₂×D₄	—	172	8	no	—
1332	C₂×D₄	#10621898	1	8	yes	complemented
1333	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1334	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1335	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1336	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1337	C₂²×C₄	—	4	4	no	—
1338	C₂²×C₄	—	4	8	no	—
1339	C₂²×C₄	—	43	1	no	—
1340	C₂²×C₄	—	43	1	no	—
1341	C₂²×C₄	—	43	1	no	—
1342	C₂²×C₄	—	43	4	no	—
1343	C₂²×C₄	—	43	4	no	—
1344	C₂²×C₄	—	43	1	no	—
1345	C₂²×C₄	—	43	4	no	—
1346	C₂²×C₄	—	43	4	no	—
1347	C₂²×C₄	—	43	4	no	—
1348	C₂²×C₄	—	43	2	no	—
1349	C₂²×C₄	—	43	2	no	—
1350	C₂²×C₄	—	43	2	no	—
1351	C₂²×C₄	—	43	2	no	—
1352	C₂²×C₄	—	43	1	no	—
1353	C₂²×C₄	—	43	1	no	—
1354	C₂²×C₄	—	43	4	no	—
1355	C₂²×C₄	—	43	4	no	—
1356	C₂²×C₄	—	43	4	no	—
1357	C₂²×C₄	—	43	1	no	—
1358	C₂²×C₄	—	43	4	no	—
1359	C₂²×C₄	—	43	4	no	—
1360	C₂²×C₄	—	43	2	no	—
1361	C₂²×C₄	—	43	4	no	—
1362	C₂²×C₄	—	43	4	no	—
1363	C₂²×C₄	—	43	8	no	—
1364	C₂²×C₄	—	43	4	no	—
1365	C₂²×C₄	—	43	4	no	—
1366	C₂²×C₄	—	86	4	no	—
1367	C₂²×C₄	—	86	16	no	—
1368	C₂²×C₄	—	86	4	no	—
1369	C₂²×C₄	—	172	8	no	—
1370	C₂²×C₄	—	172	4	no	—
1371	C₂²×C₄	—	172	8	no	—
1372	C₂²×C₄	—	172	8	no	—
1373	C₂²×C₄	—	172	4	no	—
1374	C₂²×C₄	—	172	8	no	—
1375	C₂²×C₄	—	172	4	no	—
1376	C₂²×C₄	—	172	2	no	—
1377	C₂²×C₄	—	172	4	no	—
1378	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1379	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1380	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1381	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1382	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1383	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1384	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1385	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1386	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1387	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1388	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1389	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1390	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1391	C₄⋊C₄	—	43	4	no	—
1392	C₄⋊C₄	—	43	8	no	—
1393	C₄⋊C₄	—	43	4	no	—
1394	C₄⋊C₄	—	43	4	no	—
1395	C₄⋊C₄	—	43	2	no	—
1396	C₄⋊C₄	—	43	4	no	—
1397	C₄⋊C₄	—	43	4	no	—
1398	C₄⋊C₄	—	43	8	no	—
1399	C₄⋊C₄	—	43	4	no	—
1400	C₄⋊C₄	—	43	8	no	—
1401	C₄⋊C₄	—	43	8	no	—
1402	C₄⋊C₄	—	43	8	no	—
1403	C₄⋊C₄	—	43	8	no	—
1404	C₄⋊C₄	—	43	2	no	—
1405	C₄⋊C₄	—	43	4	no	—
1406	C₄⋊C₄	—	43	4	no	—
1407	C₄⋊C₄	—	43	4	no	—
1408	C₄⋊C₄	—	43	4	no	—
1409	C₄⋊C₄	—	43	4	no	—
1410	C₄⋊C₄	—	43	4	no	—
1411	C₄⋊C₄	—	43	4	no	—
1412	C₄⋊C₄	—	43	4	no	—
1413	C₄⋊C₄	—	43	4	no	—
1414	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1415	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1416	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1417	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1418	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1419	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1420	C₂²⋊C₄	—	43	8	no	—
1421	C₂²⋊C₄	—	43	4	no	—
1422	C₂²⋊C₄	—	43	8	no	—
1423	C₂²⋊C₄	—	43	4	no	—
1424	C₂²⋊C₄	—	43	8	no	—
1425	C₂²⋊C₄	—	43	4	no	—
1426	C₂²⋊C₄	—	43	4	no	—
1427	C₂²⋊C₄	—	43	4	no	—
1428	C₂²⋊C₄	—	43	8	no	—
1429	C₂²⋊C₄	—	43	8	no	—
1430	C₂²⋊C₄	—	43	4	no	—
1431	C₂²⋊C₄	—	43	4	no	—
1432	C₂²⋊C₄	—	43	4	no	—
1433	C₂²⋊C₄	—	43	4	no	—
1434	C₂²⋊C₄	—	43	4	no	—
1435	C₂²⋊C₄	—	43	8	no	—
1436	C₂²⋊C₄	—	43	4	no	—
1437	C₂²⋊C₄	—	43	4	no	—
1438	C₂²⋊C₄	—	43	8	no	—
1439	C₂²⋊C₄	—	43	8	no	—
1440	C₂²⋊C₄	—	43	8	no	—
1441	C₂²⋊C₄	—	43	8	no	—
1442	C₂²⋊C₄	—	43	8	no	—
1443	C₂²⋊C₄	—	43	4	no	—
1444	C₂²⋊C₄	—	43	4	no	—
1445	C₂²⋊C₄	—	43	4	no	—
1446	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1447	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1448	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1449	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1450	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1451	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1452	C₄²	—	43	2	no	—
1453	C₄²	—	43	2	no	—
1454	C₄²	—	43	2	no	—
1455	C₄²	—	43	2	no	—
1456	C₄²	—	43	2	no	—
1457	C₄²	—	43	8	no	—
1458	C₄²	—	43	4	no	—
1459	C₄²	—	43	4	no	—
1460	C₄²	—	43	2	no	—
1461	C₄²	—	43	4	no	—
1462	C₄²	C₂³×D₄₃	1	2	yes	—
1463	C₄²	C₂³×D₄₃	1	8	yes	—
1464	C₄²	C₂³×D₄₃	1	4	yes	—
1465	C₄²	C₂³×D₄₃	1	4	yes	—
1466	C₄²	C₂³×D₄₃	1	2	yes	—
1467	C₄²	C₂³×D₄₃	1	4	yes	—
1468	C₂³	—	2	8	no	—
1469	C₂³	—	4	2	no	—
1470	C₂³	—	4	2	no	—
1471	C₂³	—	4	4	no	—
1472	C₂³	—	4	4	no	—
1473	C₂³	—	43	1	no	—
1474	C₂³	—	43	1	no	—
1475	C₂³	—	43	4	no	—
1476	C₂³	—	43	4	no	—
1477	C₂³	—	86	2	no	—
1478	C₂³	—	86	2	no	—
1479	C₂³	—	86	8	no	—
1480	C₂³	—	86	8	no	—
1481	C₂³	—	86	2	no	—
1482	C₂³	—	86	8	no	—
1483	C₂³	—	86	8	no	—
1484	C₂³	—	86	8	no	—
1485	C₂³	—	86	4	no	—
1486	C₂³	—	172	4	no	—
1487	C₂³	—	172	4	no	—
1488	C₂³	—	172	4	no	—
1489	C₂³	—	172	2	no	—
1490	C₂³	—	172	4	no	—
1491	C₂³	—	172	2	no	—
1492	C₂³	—	172	32	no	—
1493	C₂³	C₂×#10621898	1	8	yes	complemented
1494	C₂³	C₂⁴×D₄₃	1	4	yes	—
1495	C₂³	C₂⁴×D₄₃	1	4	yes	—
1496	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1497	Q₈	—	2	4	no	—
1498	Q₈	—	86	8	no	—
1499	Q₈	—	86	4	no	—
1500	Q₈	—	172	8	no	—
1501	Q₈	—	172	4	no	—
1502	D₄	—	2	16	no	—
1503	D₄	—	2	8	no	—
1504	D₄	—	2	4	no	—
1505	D₄	—	86	8	no	—
1506	D₄	—	86	8	no	—
1507	D₄	—	86	8	no	—
1508	D₄	—	86	8	no	—
1509	D₄	—	86	8	no	—
1510	D₄	—	86	16	no	—
1511	D₄	—	86	16	no	—
1512	D₄	—	86	8	no	—
1513	D₄	—	86	8	no	—
1514	D₄	—	86	4	no	—
1515	D₄	—	172	8	no	—
1516	D₄	—	172	8	no	—
1517	D₄	—	172	8	no	—
1518	D₄	—	172	8	no	—
1519	D₄	—	172	8	no	—
1520	D₄	—	172	4	no	—
1521	D₄	C₂×#10621898	1	16	yes	complemented
1522	C₂×C₄	—	2	8	no	—
1523	C₂×C₄	—	2	8	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	2	8	no	—
1526	C₂×C₄	—	2	8	no	—
1527	C₂×C₄	—	4	2	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	8	no	—
1531	C₂×C₄	—	4	1	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	43	1	no	—
1535	C₂×C₄	—	43	4	no	—
1536	C₂×C₄	—	43	2	no	—
1537	C₂×C₄	—	43	4	no	—
1538	C₂×C₄	—	43	4	no	—
1539	C₂×C₄	—	43	2	no	—
1540	C₂×C₄	—	43	1	no	—
1541	C₂×C₄	—	43	4	no	—
1542	C₂×C₄	—	43	4	no	—
1543	C₂×C₄	—	86	2	no	—
1544	C₂×C₄	—	86	8	no	—
1545	C₂×C₄	—	86	2	no	—
1546	C₂×C₄	—	86	8	no	—
1547	C₂×C₄	—	86	4	no	—
1548	C₂×C₄	—	86	2	no	—
1549	C₂×C₄	—	86	8	no	—
1550	C₂×C₄	—	86	2	no	—
1551	C₂×C₄	—	86	8	no	—
1552	C₂×C₄	—	86	4	no	—
1553	C₂×C₄	—	86	4	no	—
1554	C₂×C₄	—	86	8	no	—
1555	C₂×C₄	—	86	2	no	—
1556	C₂×C₄	—	86	8	no	—
1557	C₂×C₄	—	86	8	no	—
1558	C₂×C₄	—	172	4	no	—
1559	C₂×C₄	—	172	4	no	—
1560	C₂×C₄	—	172	4	no	—
1561	C₂×C₄	—	172	8	no	—
1562	C₂×C₄	—	172	2	no	—
1563	C₂×C₄	—	172	4	no	—
1564	C₂×C₄	—	172	4	no	—
1565	C₂×C₄	—	172	2	no	—
1566	C₂×C₄	—	172	4	no	—
1567	C₂×C₄	—	172	1	no	—
1568	C₂×C₄	—	172	4	no	—
1569	C₂×C₄	C₂×#10621898	1	4	yes	complemented
1570	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1571	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1572	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1573	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1574	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1575	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1576	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1577	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	4	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	4	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	4	8	no	—
1586	C₂²	—	8	8	no	—
1587	C₂²	—	43	2	no	—
1588	C₂²	—	43	2	no	—
1589	C₂²	—	86	8	no	—
1590	C₂²	—	86	1	no	—
1591	C₂²	—	86	1	no	—
1592	C₂²	—	86	1	no	—
1593	C₂²	—	86	1	no	—
1594	C₂²	—	86	4	no	—
1595	C₂²	—	86	4	no	—
1596	C₂²	—	86	4	no	—
1597	C₂²	—	86	4	no	—
1598	C₂²	—	86	4	no	—
1599	C₂²	—	86	4	no	—
1600	C₂²	—	344	8	no	—
1601	C₂²	—	172	16	no	—
1602	C₂²	—	172	16	no	—
1603	C₂²	—	172	8	no	—
1604	C₂²	C₂²×#10621898	1	8	yes	—
1605	C₂²	C₂²×#10621898	1	2	yes	—
1606	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1607	C₄	—	2	4	no	—
1608	C₄	—	2	1	no	—
1609	C₄	—	2	4	no	—
1610	C₄	—	2	4	no	—
1611	C₄	—	2	2	no	—
1612	C₄	—	2	4	no	—
1613	C₄	—	43	2	no	—
1614	C₄	—	86	2	no	—
1615	C₄	—	86	4	no	—
1616	C₄	—	86	1	no	—
1617	C₄	—	86	4	no	—
1618	C₄	—	86	4	no	—
1619	C₄	—	86	2	no	—
1620	C₄	—	86	4	no	—
1621	C₄	C₂²×#10621898	1	4	yes	—
1622	C₄	H(5,𝔽₂)×D₄₃	1	2	yes	—
1623	C₂	—	2	2	no	—
1624	C₂	—	2	8	no	—
1625	C₂	—	4	4	no	—
1626	C₂	—	86	2	no	—
1627	C₂	—	86	2	no	—
1628	C₂	—	172	4	no	—
1629	C₂	—	172	4	no	—
1630	C₂	C₂³×#10621898	1	1	yes	characteristic
1631	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1632	C₂	#585×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₄×H(5,𝔽₂)×C₄₃	C₂
hypercenter	C₄×H(5,𝔽₂)	D₄₃
hypocenter	C₄₃	#62773
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×H(5,𝔽₂)

Complements

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

N	H ≅ G/N	type
1. #19148634	C₂	semidirect
2. #19148617	C₂	semidirect
3. #19148537	C₂	semidirect
4. #19148523	C₂	semidirect
5. #19148440	C₂	semidirect
6. #19148425	C₂	semidirect
7. #19148393	C₂	semidirect
8. #19148354	C₂	semidirect
9. #19148298	C₂	semidirect
10. #19148280	C₂	semidirect
11. #19148231	C₂	semidirect
12. #19148226	C₂	semidirect
13. #19148205	C₂	semidirect
14. #19148199	C₂	semidirect
15. #19148157	C₂	semidirect
16. D₄×#10621898	C₂	semidirect
17. #19148011	C₂	semidirect
18. #19148004	C₂	semidirect
19. #19147888	C₂	semidirect
20. C₂×#14583408	C₂	semidirect
21. C₄×#13063370	C₂	semidirect
22. C₂×C₄×D₄×D₄₃	C₂	semidirect
23. C₄×H(5,𝔽₂)×C₄₃	C₂	semidirect
25. C₂²×#10621898	C₂²	semidirect
27. C₂³×C₄×D₄₃	C₂²	semidirect
28. #14583634	C₂²	semidirect
29. #14583632	C₂²	semidirect
30. #14583621	C₂²	semidirect
31. #14583612	C₂²	semidirect
32. #14583609	C₂²	semidirect
33. #14583608	C₂²	semidirect
34. #14583608	C₂²	semidirect
35. #14583606	C₂²	semidirect
36. #14583604	C₂²	semidirect
37. #14583599	C₂²	semidirect
38. #14583598	C₂²	semidirect
39. #14583598	C₂²	semidirect
40. #14583597	C₂²	semidirect
41. #14583595	C₂²	semidirect
42. #14583593	C₂²	semidirect
43. #14583593	C₂²	semidirect
44. #14583590	C₂²	semidirect
45. #14583588	C₂²	semidirect
46. #14583582	C₂²	semidirect
47. #14583578	C₂²	semidirect
48. #14583578	C₂²	semidirect
49. #14583575	C₂²	semidirect
50. #14583573	C₂²	semidirect
51. #14583573	C₂²	semidirect
52. #14583573	C₂²	semidirect
53. #14583570	C₂²	semidirect
54. D₄×Dic₈₆	C₂²	semidirect
55. #14583558	C₂²	semidirect
56. #14583554	C₂²	semidirect
57. #14583550	C₂²	semidirect
58. #14583550	C₂²	semidirect
59. #14583548	C₂²	semidirect
60. #14583545	C₂²	semidirect
61. #14583545	C₂²	semidirect
62. #14583544	C₂²	semidirect
63. #14583544	C₂²	semidirect
64. #14583543	C₂²	semidirect
65. #14583539	C₂²	semidirect
66. #14583539	C₂²	semidirect
67. #14583539	C₂²	semidirect
68. #14583537	C₂²	semidirect
69. #14583537	C₂²	semidirect
70. #14583537	C₂²	semidirect
71. D₄×D₁₇₂	C₂²	semidirect
72. D₄×D₁₇₂	C₂²	semidirect
73. D₄×C₂²⋊D₄₃	C₂²	semidirect
74. D₄×C₂²⋊D₄₃	C₂²	semidirect
75. D₄×C₂²⋊D₄₃	C₂²	semidirect
76. #14583527	C₂²	semidirect
77. #14583525	C₂²	semidirect
78. #14583521	C₂²	semidirect
79. #14583520	C₂²	semidirect
80. #14583504	C₂²	semidirect
81. #14583500	C₂²	semidirect
82. #14583496	C₂²	semidirect
83. #14583491	C₂²	semidirect
84. #14583491	C₂²	semidirect
85. #14583487	C₂²	semidirect
86. #14583482	C₂²	semidirect
87. #14583482	C₂²	semidirect
88. #14583482	C₂²	semidirect
89. #14583477	C₂²	semidirect
90. #14583468	C₂²	semidirect
91. #14583463	C₂²	semidirect
92. #14583461	C₂²	semidirect
93. #14583458	C₂²	semidirect
94. #14583458	C₂²	semidirect
95. #14583453	C₂²	semidirect
96. #14583453	C₂²	semidirect
97. #14583452	C₂²	semidirect
98. #14583449	C₂²	semidirect
99. #14583446	C₂²	semidirect
100. #14583446	C₂²	semidirect
101. #14583446	C₂²	semidirect
102. #14583445	C₂²	semidirect
103. #14583436	C₂²	semidirect
104. #14583436	C₂²	semidirect
105. #14583436	C₂²	semidirect
106. #14583433	C₂²	semidirect
107. #14583433	C₂²	semidirect
108. #14583431	C₂²	semidirect
109. #14583431	C₂²	semidirect
110. #14583429	C₂²	semidirect
111. #14583429	C₂²	semidirect
112. #14583429	C₂²	semidirect
113. #14583427	C₂²	semidirect
114. #14583427	C₂²	semidirect
115. #14583411	C₂²	semidirect
116. #14583410	C₂²	semidirect
117. #14583408	C₂²	semidirect
118. #14583408	C₂²	semidirect
119. #14583408	C₂²	semidirect
120. #14583408	C₂²	semidirect
121. #14583408	C₂²	semidirect
122. #14583408	C₂²	semidirect
123. #14583408	C₂²	semidirect
124. #14583408	C₂²	semidirect
125. #14583408	C₂²	semidirect
126. #14583408	C₂²	semidirect
127. #14583406	C₂²	semidirect
128. C₂×#13063310	C₂²	semidirect
129. C₂×#13063307	C₂²	semidirect
130. C₂×#13063303	C₂²	semidirect
131. C₂×#13063302	C₂²	semidirect
132. C₂×#13063298	C₂²	semidirect
133. C₂×#13063297	C₂²	semidirect
134. C₂×#13063295	C₂²	semidirect
135. C₂×#13063293	C₂²	semidirect
136. #14583380	C₂²	semidirect
137. #14583378	C₂²	semidirect
139. #14583372	C₂²	semidirect
140. #14583371	C₂²	semidirect
141. C₄×#10621898	C₂²	semidirect
142. C₄×#10621898	C₂²	semidirect
143. C₄×#10621898	C₂²	semidirect
144. C₄×#10621900	C₂²	semidirect
145. C₂×C₄×D₁₇₂	C₂²	semidirect
146. C₂×C₄×D₁₇₂	C₂²	semidirect
148. C₂×#13063287	C₂²	semidirect
149. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
150. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
151. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
152. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
153. C₄×D₄×D₄₃	C₂²	semidirect
154. C₄×D₄×D₄₃	C₂²	semidirect
155. C₄×D₄×D₄₃	C₂²	semidirect
156. C₄×D₄×D₄₃	C₂²	semidirect
157. C₄×D₄×D₄₃	C₂²	semidirect
158. C₂×#13063282	C₂²	semidirect
159. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
160. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
161. C₂×C₄²×D₄₃	C₂²	semidirect
163. C₄₃×#520	C₂²	semidirect
164. C₄₃×#520	C₂²	semidirect
166. C₄₃×#518	C₂²	semidirect
167. C₄₃×#518	C₂²	semidirect
168. C₄×#41×C₄₃	C₂²	semidirect
169. C₄×#41×C₄₃	C₂²	semidirect
171. C₂×C₄×D₄×C₄₃	C₂²	semidirect
172. C₂×C₄×D₄×C₄₃	C₂²	semidirect
180. C₂×#10621898	C₂³	semidirect
181. C₂×#10621898	C₂³	semidirect
183. C₂²×Dic₈₆	C₂³	semidirect
191. C₂²×C₂²⋊D₄₃	C₂³	semidirect
208. C₂²×C₄×D₄₃	C₂³	semidirect
209. #13063325	C₂³	semidirect
210. #13063324	C₂³	semidirect
211. #13063324	C₂³	semidirect
212. #13063324	C₂³	semidirect
213. #13063323	C₂³	semidirect
216. #13063321	C₂³	semidirect
217. #13063320	C₂³	semidirect
218. #13063320	C₂³	semidirect
219. #13063320	C₂³	semidirect
220. #13063320	C₂³	semidirect
221. #13063319	C₂³	semidirect
222. #13063319	C₂³	semidirect
223. #13063319	C₂³	semidirect
224. #13063318	C₂³	semidirect
225. #13063318	C₂³	semidirect
226. #13063318	C₂³	semidirect
227. #13063317	C₂³	semidirect
228. #13063317	C₂³	semidirect
229. #13063316	C₂³	semidirect
230. #13063316	C₂³	semidirect
231. #13063316	C₂³	semidirect
232. #13063315	C₂³	semidirect
233. #13063315	C₂³	semidirect
234. #13063315	C₂³	semidirect
236. #13063314	C₂³	semidirect
238. #13063313	C₂³	semidirect
239. #13063313	C₂³	semidirect
240. #13063312	C₂³	semidirect
241. #13063311	C₂³	semidirect
242. #13063311	C₂³	semidirect
243. #13063311	C₂³	semidirect
244. #13063311	C₂³	semidirect
248. #13063310	C₂³	semidirect
249. #13063310	C₂³	semidirect
250. #13063310	C₂³	semidirect
251. #13063310	C₂³	semidirect
255. #13063308	C₂³	semidirect
256. #13063308	C₂³	semidirect
257. #13063308	C₂³	semidirect
258. #13063308	C₂³	semidirect
262. #13063307	C₂³	semidirect
263. #13063307	C₂³	semidirect
264. #13063307	C₂³	semidirect
266. #13063306	C₂³	semidirect
269. #13063304	C₂³	semidirect
270. #13063304	C₂³	semidirect
271. #13063304	C₂³	semidirect
272. #13063304	C₂³	semidirect
276. #13063303	C₂³	semidirect
277. #13063303	C₂³	semidirect
278. #13063303	C₂³	semidirect
282. #13063302	C₂³	semidirect
283. #13063302	C₂³	semidirect
284. #13063302	C₂³	semidirect
285. #13063302	C₂³	semidirect
288. #13063301	C₂³	semidirect
297. #13063299	C₂³	semidirect
298. #13063299	C₂³	semidirect
299. #13063299	C₂³	semidirect
303. #13063298	C₂³	semidirect
304. #13063298	C₂³	semidirect
305. #13063298	C₂³	semidirect
306. #13063298	C₂³	semidirect
312. #13063297	C₂³	semidirect
313. #13063297	C₂³	semidirect
316. #13063296	C₂³	semidirect
323. #13063294	C₂³	semidirect
328. #13063293	C₂³	semidirect
329. C₄×Dic₈₆	C₂³	semidirect
330. C₄×Dic₈₆	C₂³	semidirect
331. C₄×Dic₈₆	C₂³	semidirect
332. C₄×Dic₈₆	C₂³	semidirect
333. C₄×Dic₈₆	C₂³	semidirect
334. C₄×Dic₈₆	C₂³	semidirect
335. #13063290	C₂³	semidirect
343. C₄×D₁₇₂	C₂³	semidirect
344. C₄×D₁₇₂	C₂³	semidirect
345. C₄×D₁₇₂	C₂³	semidirect
346. C₄×D₁₇₂	C₂³	semidirect
353. #13063287	C₂³	semidirect
364. C₄×C₂²⋊D₄₃	C₂³	semidirect
365. C₄×C₂²⋊D₄₃	C₂³	semidirect
366. C₄×C₂²⋊D₄₃	C₂³	semidirect
367. C₄×C₂²⋊D₄₃	C₂³	semidirect
368. C₄×C₂²⋊D₄₃	C₂³	semidirect
369. C₄×C₂²⋊D₄₃	C₂³	semidirect
370. C₄×C₂²⋊D₄₃	C₂³	semidirect
371. C₄×C₂²⋊D₄₃	C₂³	semidirect
374. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
375. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
377. #13063284	C₂³	semidirect
378. #13063284	C₂³	semidirect
379. #13063283	C₂³	semidirect
383. #13063282	C₂³	semidirect
384. #13063282	C₂³	semidirect
385. #13063282	C₂³	semidirect
386. #13063282	C₂³	semidirect
387. #13063282	C₂³	semidirect
388. #13063281	C₂³	semidirect
390. C₂×C₄⋊Dic₄₃	C₂³	semidirect
392. C₂×Dic₄₃⋊C₄	C₂³	semidirect
393. C₂×Dic₄₃⋊C₄	C₂³	semidirect
394. C₂×Dic₄₃⋊C₄	C₂³	semidirect
395. C₂×Dic₄₃⋊C₄	C₂³	semidirect
398. C₄⋊C₄×D₄₃	C₂³	semidirect
401. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
408. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
409. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
412. C₂²⋊C₄×D₄₃	C₂³	semidirect
416. C₂×C₄×Dic₄₃	C₂³	semidirect
421. C₄²×D₄₃	C₂³	semidirect
429. C₂³×C₄×C₄₃	C₂³	semidirect
430. C₄×Q₈×C₄₃	C₂³	semidirect
431. C₄×Q₈×C₄₃	C₂³	semidirect
432. C₄×Q₈×C₄₃	C₂³	semidirect
440. C₄×D₄×C₄₃	C₂³	semidirect
441. C₄×D₄×C₄₃	C₂³	semidirect
442. C₄×D₄×C₄₃	C₂³	semidirect
443. C₄×D₄×C₄₃	C₂³	semidirect
444. C₄×D₄×C₄₃	C₂³	semidirect
445. C₄×D₄×C₄₃	C₂³	semidirect
446. C₄×D₄×C₄₃	C₂³	semidirect
448. #117×C₄₃	C₂³	semidirect
449. #117×C₄₃	C₂³	semidirect
450. #117×C₄₃	C₂³	semidirect
452. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
453. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
456. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
457. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
459. C₂×C₄²×C₄₃	C₂³	semidirect
460. C₂×C₄²×C₄₃	C₂³	semidirect
476. C₂×D₄×C₄₃	#41	semidirect
656. C₂³×C₄₃	C₂×#41	semidirect
684. D₄×C₄₃	C₂×#41	semidirect
697. C₂×C₄×C₄₃	C₂×#41	semidirect
756. C₄×D₄₃	H(5,𝔽₂)	semidirect
828. C₄×H(5,𝔽₂)	D₄₃	semidirect
955. #520	C₂×D₄₃	semidirect
956. #520	C₂×D₄₃	semidirect
961. #518	C₂×D₄₃	semidirect
962. #518	C₂×D₄₃	semidirect
967. C₄×#41	C₂×D₄₃	semidirect
968. C₄×#41	C₂×D₄₃	semidirect
983. C₂×C₄×D₄	C₂×D₄₃	semidirect
984. C₂×C₄×D₄	C₂×D₄₃	semidirect
989. C₄₃	#62773	semidirect
1033. C₂³×C₄	C₂²×D₄₃	semidirect
1161. C₄×Q₈	C₂²×D₄₃	semidirect
1162. C₄×Q₈	C₂²×D₄₃	semidirect
1163. C₄×Q₈	C₂²×D₄₃	semidirect
1211. C₄×D₄	C₂²×D₄₃	semidirect
1212. C₄×D₄	C₂²×D₄₃	semidirect
1213. C₄×D₄	C₂²×D₄₃	semidirect
1214. C₄×D₄	C₂²×D₄₃	semidirect
1215. C₄×D₄	C₂²×D₄₃	semidirect
1216. C₄×D₄	C₂²×D₄₃	semidirect
1217. C₄×D₄	C₂²×D₄₃	semidirect
1232. #117	C₂²×D₄₃	semidirect
1233. #117	C₂²×D₄₃	semidirect
1234. #117	C₂²×D₄₃	semidirect
1246. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
1247. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
1264. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1265. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1276. C₂×C₄²	C₂²×D₄₃	semidirect
1277. C₂×C₄²	C₂²×D₄₃	semidirect
1332. C₂×D₄	#10621898	semidirect
1493. C₂³	C₂×#10621898	semidirect
1521. D₄	C₂×#10621898	semidirect
1569. C₂×C₄	C₂×#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148634	2
#19148617	2
#19148537	2
#19148523	2
#19148440	2
#19148425	2
#19148393	2
#19148354	2
#19148298	2
#19148280	2
#19148231	2
#19148226	2
#19148205	2
#19148199	2
#19148157	2
D₄×#10621898	2
#19148011	2
#19148004	2
#19147888	2
C₂×#14583408	2
C₄×#13063370	2
C₂×C₄×D₄×D₄₃	2
C₄×H(5,𝔽₂)×C₄₃	2
#62773	43