Subgroups — #72316246

Order 2048.

At least 8047 conjugacy classes of subgroups; only the 4812 normal subgroups are shown.

The subgroup lattice has 1013 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72316243	C₂	1	1	yes	maximal, characteristic, complemented
2	#72316242	C₂	1	1	yes	maximal, characteristic, complemented
3	#72316236	C₂	1	2	yes	maximal, complemented
4	#72316234	C₂	1	8	yes	maximal, complemented
5	#72316233	C₂	1	1	yes	maximal, characteristic, complemented
6	#72316231	C₂	1	1	yes	maximal, characteristic, complemented
7	#72316230	C₂	1	2	yes	maximal, complemented
8	#72316228	C₂	1	2	yes	maximal, complemented
9	#72316222	C₂	1	2	yes	maximal, complemented
10	#72316218	C₂	1	1	yes	maximal, characteristic, complemented
11	#72316153	C₂	1	4	yes	maximal, complemented
12	#72315941	C₂	1	16	yes	maximal, complemented
13	#72315842	C₂	1	4	yes	maximal, complemented
14	#72313062	C₂	1	8	yes	maximal, complemented
15	C₂×#6487648	C₂	1	1	yes	maximal, characteristic, complemented
16	#72306580	C₂	1	4	yes	maximal, complemented
17	#72306532	C₂	1	4	yes	maximal, complemented
18	#72302151	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#62812	C₂²	1	1	yes	characteristic
20	C₂×#62800	C₂²	1	1	yes	characteristic
21	#10581784	C₂²	1	8	yes	complemented
22	#10581750	C₂²	1	2	yes	complemented
23	#10581748	C₂²	1	2	yes	complemented
24	#10581739	C₂²	1	2	yes	complemented
25	#10581737	C₂²	1	2	yes	complemented
26	#10577308	C₂²	1	8	yes	—
27	#10575872	C₂²	1	2	yes	—
28	C₂×#60803	C₂²	1	2	yes	—
29	C₂×#60558	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#3036	C₂²	1	1	yes	characteristic, complemented
31	#10574447	C₂²	1	1	yes	characteristic
32	C₂×#35237	C₂²	1	2	yes	complemented
33	C₂×#34963	C₂²	1	1	yes	characteristic
34	#7625966	C₂²	1	2	yes	complemented
35	#6513428	C₂²	1	8	yes	complemented
36	#6513424	C₂²	1	8	yes	complemented
37	#6513417	C₂²	1	16	yes	complemented
38	#6512767	C₂²	1	2	yes	complemented
39	#6512765	C₂²	1	2	yes	complemented
40	#6512763	C₂²	1	2	yes	complemented
41	#6512761	C₂²	1	2	yes	complemented
42	#6512755	C₂²	1	8	yes	complemented
43	#6487648	C₂²	1	4	yes	—
44	#6487648	C₂²	1	8	yes	complemented
45	#6487648	C₂²	1	4	yes	complemented
46	C₂×#25900	C₂²	1	4	yes	complemented
47	C₂×#25771	C₂²	1	4	yes	complemented
48	#6440512	C₂²	1	8	yes	complemented
49	#6440426	C₂²	1	4	yes	complemented
50	#6437684	C₂²	1	8	yes	complemented
51	#6437518	C₂²	1	4	yes	complemented
52	#6386373	C₂²	1	8	yes	complemented
53	#6386295	C₂²	1	2	yes	complemented
54	#6386226	C₂²	1	2	yes	complemented
55	#6386116	C₂²	1	2	yes	complemented
56	#6385980	C₂²	1	2	yes	complemented
57	#41×#99	C₂²	1	8	yes	complemented
58	#6375002	C₂²	1	2	yes	complemented
59	#6374578	C₂²	1	2	yes	complemented
60	#6374558	C₂²	1	1	yes	characteristic, complemented
61	#6374554	C₂²	1	2	yes	complemented
62	#6374537	C₂²	1	1	yes	characteristic
63	#6374310	C₂²	1	1	yes	characteristic, complemented
64	C₂×#21794	C₂²	1	2	yes	complemented
65	#6370977	C₂²	1	2	yes	complemented
66	#6370937	C₂²	1	1	yes	characteristic
67	C₂×#20723	C₂²	1	1	yes	characteristic
68	#6343377	C₂²	1	2	yes	complemented
69	#267448	C₂²	1	32	yes	complemented
70	#267443	C₂²	1	32	yes	complemented
71	#267440	C₂²	1	32	yes	complemented
72	#267435	C₂²	1	32	yes	complemented
73	#267384	C₂²	1	32	yes	complemented
74	#267379	C₂²	1	32	yes	complemented
75	#267376	C₂²	1	32	yes	complemented
76	#267371	C₂²	1	32	yes	complemented
77	#239397	C₂²	1	16	yes	complemented
78	#239387	C₂²	1	16	yes	complemented
79	#239373	C₂²	1	8	yes	complemented
80	#239372	C₂²	1	8	yes	complemented
81	#235105	C₂²	1	8	yes	complemented
82	#235099	C₂²	1	8	yes	complemented
83	#235090	C₂²	1	8	yes	complemented
84	#235089	C₂²	1	8	yes	complemented
85	#235067	C₂²	1	16	yes	complemented
86	#201391	C₂²	1	8	yes	complemented
87	#201388	C₂²	1	4	yes	complemented
88	#201386	C₂²	1	4	yes	complemented
89	#201383	C₂²	1	4	yes	complemented
90	#201373	C₂²	1	4	yes	complemented
91	#198487	C₂²	1	8	yes	complemented
92	#198480	C₂²	1	8	yes	complemented
93	#198456	C₂²	1	16	yes	complemented
94	#198416	C₂²	1	16	yes	complemented
95	#192046	C₂²	1	8	yes	complemented
96	#192045	C₂²	1	8	yes	complemented
97	#192041	C₂²	1	4	yes	complemented
98	#192037	C₂²	1	4	yes	complemented
99	#185348	C₂²	1	4	yes	complemented
100	#185348	C₂²	1	4	yes	complemented
101	#185339	C₂²	1	8	yes	complemented
102	#185332	C₂²	1	8	yes	complemented
103	#181483	C₂²	1	2	yes	complemented
104	#181239	C₂²	1	2	yes	complemented
105	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
106	#62812	C₂³	1	2	yes	—
107	#62812	C₂³	1	2	yes	—
108	#62812	C₂³	1	4	yes	—
109	C₂×#3511	D₄	1	2	yes	complemented
110	C₂×#3511	C₂³	1	1	yes	characteristic
111	C₂×#3508	D₄	1	2	yes	complemented
112	C₂×#3508	C₂³	1	1	yes	characteristic
113	C₂×#3503	C₂³	1	1	yes	characteristic
114	C₂×#3498	C₂³	1	1	yes	characteristic
115	C₂×#3517	D₄	1	2	yes	complemented
116	C₂×#3514	D₄	1	2	yes	complemented
117	C₂×#3514	C₂³	1	4	yes	—
118	C₂×#3496	C₂³	1	4	yes	—
119	C₂×#3480	D₄	1	2	yes	complemented
120	C₂×D₄×#41	D₄	1	2	yes	complemented
121	C₂×D₄×#41	C₂³	1	4	yes	—
122	C₂×#3444	D₄	1	2	yes	complemented
123	C₂×#3444	C₂³	1	1	yes	characteristic
124	C₂²×#532	D₄	1	2	yes	complemented
125	C₂²×#532	C₂³	1	2	yes	—
126	C₂²×#532	C₂³	1	1	yes	characteristic
127	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
128	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
129	#61572	C₂³	1	16	yes	—
130	#61569	C₂³	1	16	yes	—
131	#61562	C₂³	1	16	yes	—
132	#61559	C₂³	1	16	yes	—
133	#60958	C₂³	1	8	yes	—
134	#60941	C₂³	1	4	yes	—
135	#60940	C₂³	1	4	yes	—
136	C₂×#3214	D₄	1	8	yes	complemented
137	C₂×#3213	C₂³	1	8	yes	—
138	C₂×#3207	D₄	1	8	yes	complemented
139	C₂×#3206	C₂³	1	4	yes	—
140	C₂×#3205	C₂³	1	4	yes	—
141	#60750	C₂³	1	8	yes	—
142	C₂×#3151	D₄	1	4	yes	complemented
143	C₂×#3141	D₄	1	4	yes	complemented
144	C₂×#3110	C₂³	1	2	yes	complemented
145	C₂×#3109	C₂³	1	2	yes	complemented
146	C₂×#3105	C₂³	1	4	yes	complemented
147	C₂×#3092	C₂³	1	2	yes	—
148	C₂×#3036	D₄	1	4	yes	complemented
149	C₂×#3036	D₄	1	4	yes	complemented
150	C₂²×#463	C₂³	1	4	yes	complemented
151	C₂²×#461	C₂³	1	2	yes	complemented
152	C₂²×#459	C₂³	1	2	yes	complemented
153	C₂×#3006	C₂³	1	8	yes	—
154	C₂×#3003	C₂³	1	2	yes	—
155	#60282	C₂³	1	4	yes	—
156	#60277	C₂³	1	2	yes	—
157	#60276	C₂³	1	2	yes	—
158	#60230	C₂³	1	4	yes	—
159	C₂×#2920	C₂³	1	1	yes	characteristic
160	C₂×#2920	C₂³	1	2	yes	—
161	C₂²×#423	C₂³	1	1	yes	characteristic
162	C₂²×#417	C₂³	1	2	yes	—
163	#35237	C₂³	1	8	yes	—
164	#35237	C₂³	1	8	yes	—
165	#34963	C₂³	1	2	yes	—
166	#34963	C₂³	1	4	yes	—
167	#34963	C₂³	1	2	yes	—
168	C₂×#2504	C₂³	1	4	yes	—
169	C₂×#2487	C₂³	1	2	yes	—
170	C₂×#2433	C₂³	1	4	yes	—
171	C₂×#2408	C₂³	1	2	yes	—
172	#34377	C₂³	1	8	yes	complemented
173	#34371	C₂³	1	4	yes	complemented
174	#34364	C₂³	1	4	yes	complemented
175	C₂²⋊C₄×#41	C₂³	1	8	yes	—
176	#34012	C₂³	1	2	yes	—
177	C₂×#2283	C₂³	1	1	yes	characteristic
178	C₂×#2283	C₂³	1	2	yes	—
179	#25900	C₂³	1	16	yes	—
180	#25900	C₂³	1	16	yes	—
181	#25771	C₂³	1	16	yes	—
182	#25771	C₂³	1	16	yes	—
183	#24533	C₂³	1	32	yes	complemented
184	#24531	C₂³	1	32	yes	complemented
185	#24356	C₂³	1	32	yes	complemented
186	#24354	C₂³	1	32	yes	complemented
187	#24042	C₂³	1	8	yes	complemented
188	#24039	C₂³	1	8	yes	complemented
189	#24036	C₂³	1	8	yes	complemented
190	#24033	C₂³	1	8	yes	complemented
191	#23858	C₂³	1	8	yes	complemented
192	#23855	C₂³	1	8	yes	complemented
193	#23851	C₂³	1	8	yes	complemented
194	#23848	C₂³	1	8	yes	complemented
195	#22534	C₂³	1	16	yes	complemented
196	Q₈×#99	C₂³	1	16	yes	complemented
197	#22476	C₂³	1	16	yes	complemented
198	D₄×#99	C₂³	1	16	yes	complemented
199	#21977	C₂³	1	8	yes	complemented
200	#21973	C₂³	1	8	yes	complemented
201	#21889	C₂³	1	2	yes	complemented
202	#21888	C₂³	1	8	yes	—
203	#21888	C₂³	1	2	yes	complemented
204	#21886	C₂³	1	4	yes	complemented
205	#21884	C₂³	1	8	yes	—
206	#21875	C₂³	1	8	yes	complemented
207	#21851	C₂³	1	2	yes	—
208	#21851	C₂³	1	2	yes	—
209	#21847	C₂³	1	4	yes	—
210	#21826	C₂³	1	4	yes	complemented
211	#21811	C₂³	1	2	yes	complemented
212	#21810	C₂³	1	2	yes	complemented
213	#21806	C₂³	1	4	yes	complemented
214	#21794	C₂³	1	8	yes	—
215	#21794	C₂³	1	8	yes	—
216	#21794	C₂³	1	4	yes	complemented
217	#21420	C₂³	1	8	yes	—
218	C₂×#1964	C₂³	1	8	yes	—
219	#20973	C₂³	1	8	yes	—
220	#20971	C₂³	1	4	yes	—
221	#20898	C₂³	1	4	yes	—
222	#20837	C₂³	1	8	yes	—
223	#20738	C₂³	1	8	yes	complemented
224	#20733	C₂³	1	8	yes	complemented
225	#20723	D₄	1	2	yes	—
226	#20723	D₄	1	2	yes	—
227	#20723	D₄	1	4	yes	—
228	#20723	C₂³	1	2	yes	—
229	#20723	C₂³	1	2	yes	—
230	#20723	C₂³	1	4	yes	—
231	#20723	C₂³	1	2	yes	—
232	#20723	C₂³	1	2	yes	—
233	#20722	C₂³	1	4	yes	—
234	#20700	C₂³	1	4	yes	—
235	C₂×#1820	D₄	1	2	yes	—
236	#20632	C₂³	1	4	yes	—
237	C₂×#1799	D₄	1	4	yes	—
238	#20601	C₂³	1	4	yes	—
239	#20598	C₂³	1	4	yes	—
240	C₂×#1782	D₄	1	2	yes	—
241	C₂×C₄×#99	C₂³	1	4	yes	—
242	#17595	C₂³	1	8	yes	—
243	#17577	C₂³	1	8	yes	—
244	#17574	C₂³	1	8	yes	—
245	#10565	C₂³	1	64	yes	complemented
246	#10564	C₂³	1	64	yes	complemented
247	#9958	C₂³	1	32	yes	complemented
248	#9954	C₂³	1	32	yes	complemented
249	#9950	C₂³	1	32	yes	complemented
250	#9946	C₂³	1	32	yes	complemented
251	#9473	C₂³	1	16	yes	complemented
252	#9472	C₂³	1	16	yes	complemented
253	#9469	C₂³	1	16	yes	complemented
254	#9468	C₂³	1	16	yes	complemented
255	#9262	C₂³	1	64	yes	complemented
256	#9259	C₂³	1	64	yes	complemented
257	#8852	C₂³	1	32	yes	complemented
258	#8851	C₂³	1	32	yes	complemented
259	#8350	C₂³	1	32	yes	—
260	#8350	C₂³	1	32	yes	—
261	#7984	C₂³	1	8	yes	complemented
262	#7983	C₂³	1	8	yes	—
263	#7980	C₂³	1	8	yes	complemented
264	#7929	C₂³	1	8	yes	—
265	#7928	C₂³	1	8	yes	complemented
266	#7926	C₂³	1	8	yes	complemented
267	C₂³×#41	C₂×D₄	1	4	yes	—
268	C₂³×#41	C₂×D₄	1	1	yes	characteristic
269	C₂³×#41	C₂⁴	1	2	yes	—
270	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
271	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
272	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
273	C₂³×SD₁₆	C₂⁴	1	4	yes	—
274	C₂³×D₈	C₂⁴	1	4	yes	—
275	C₂³×M₁₆	C₂⁴	1	2	yes	—
276	#3496	C₂⁴	1	8	yes	—
277	#3496	C₂⁴	1	8	yes	—
278	C₂×#559	C₂×D₄	1	2	yes	complemented
279	C₂×#559	C₂×D₄	1	4	yes	complemented
280	C₂×#557	C₂×D₄	1	2	yes	complemented
281	C₂×#556	C₂×D₄	1	2	yes	complemented
282	C₂×#556	C₂×D₄	1	4	yes	complemented
283	C₂×#550	C₂×D₄	1	4	yes	—
284	C₂×#550	C₂×D₄	1	2	yes	complemented
285	C₂×#550	C₂×D₄	1	2	yes	complemented
286	C₂×D₄×Q₈	C₂×D₄	1	2	yes	complemented
287	C₂×D₄×Q₈	C₂⁴	1	4	yes	—
288	C₂×#548	C₂×D₄	1	4	yes	—
289	C₂×#548	C₂×D₄	1	4	yes	complemented
290	C₂×#548	C₂⁴	1	4	yes	—
291	C₂×#547	C₂×D₄	1	4	yes	—
292	C₂×#547	C₂×D₄	1	2	yes	complemented
293	C₂×#546	C₂×D₄	1	4	yes	—
294	C₂×#546	C₂×D₄	1	4	yes	complemented
295	C₂×#546	C₂⁴	1	4	yes	—
296	C₂×D₄²	C₂×D₄	1	2	yes	complemented
297	C₂×D₄²	C₂⁴	1	4	yes	—
298	C₂×#533	C₂×D₄	1	1	yes	characteristic
299	C₂×#533	C₂×D₄	1	1	yes	characteristic
300	C₂×#533	C₂×D₄	1	2	yes	complemented
301	C₂×#533	C₂×D₄	1	2	yes	complemented
302	C₂×#533	C₂⁴	1	1	yes	characteristic
303	C₂×#532	C₂×D₄	1	1	yes	characteristic
304	C₂×#532	C₂×D₄	1	4	yes	—
305	C₂×#532	C₂×D₄	1	2	yes	—
306	C₂×#532	C₂×D₄	1	4	yes	—
307	C₂×#532	C₂×D₄	1	2	yes	—
308	C₂×#532	C₂×D₄	1	2	yes	—
309	C₂×#532	C₂×D₄	1	4	yes	—
310	C₂×#532	C₂×D₄	1	4	yes	—
311	C₂×#532	C₂×D₄	1	4	yes	—
312	C₂×#532	C₂×D₄	1	2	yes	—
313	C₂×#532	C₂×D₄	1	4	yes	—
314	C₂×#532	C₂×D₄	1	4	yes	—
315	C₂×#532	C₂×D₄	1	1	yes	characteristic
316	C₂×#532	C₂×D₄	1	4	yes	complemented
317	C₂×#532	C₂×D₄	1	2	yes	complemented
318	C₂×#532	C₂×D₄	1	2	yes	complemented
319	C₂×#532	C₂×D₄	1	2	yes	complemented
320	C₂×#532	C₂×D₄	1	2	yes	complemented
321	C₂×#532	C₂⁴	1	1	yes	characteristic
322	C₂×#532	C₂⁴	1	4	yes	—
323	C₂×#532	C₂⁴	1	4	yes	—
324	C₂²×C₄⋊Q₈	C₂×D₄	1	2	yes	—
325	C₂²×C₄⋊Q₈	C₂×D₄	1	2	yes	complemented
326	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
327	C₂²×#127	C₂×D₄	1	2	yes	—
328	C₂²×#127	C₂×D₄	1	2	yes	complemented
329	C₂²×#127	C₂⁴	1	1	yes	characteristic
330	C₂×#529	C₂×D₄	1	2	yes	—
331	C₂×#529	C₂×D₄	1	4	yes	complemented
332	C₂×#529	C₂×D₄	1	4	yes	complemented
333	C₂×#529	C₂⁴	1	2	yes	—
334	C₂²×#124	C₂×D₄	1	4	yes	complemented
335	C₂²×#124	C₂⁴	1	2	yes	—
336	C₂×#525	C₂×D₄	1	4	yes	—
337	C₂×#525	C₂⁴	1	2	yes	—
338	C₂²×#121	C₂⁴	1	4	yes	—
339	C₂×C₄×#41	C₂×D₄	1	2	yes	—
340	C₂×C₄×#41	C₂×D₄	1	4	yes	—
341	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
342	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
343	C₂×C₄×#41	C₂×D₄	1	2	yes	—
344	C₂×C₄×#41	C₂×D₄	1	2	yes	—
345	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
346	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
347	C₂×C₄×#41	#41	1	2	yes	—
348	C₂×C₄×#41	#41	1	1	yes	characteristic
349	C₂×C₄×#41	#41	1	1	yes	characteristic
350	C₂×C₄×#41	C₂⁴	1	2	yes	—
351	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
352	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×Q₈	#41	1	1	yes	characteristic
355	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
356	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
358	C₂²×C₄×D₄	#41	1	1	yes	characteristic
359	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
360	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
361	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
362	C₂²×#117	C₂×D₄	1	1	yes	characteristic
363	C₂²×#117	#41	1	2	yes	—
364	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
365	C₂³×C₄²	C₂×D₄	1	2	yes	—
366	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
367	#3187	C₂⁴	1	16	yes	—
368	#3186	C₂⁴	1	16	yes	—
369	C₂×#496	C₂×D₄	1	16	yes	complemented
370	C₂×#493	C₂×D₄	1	8	yes	complemented
371	C₂×#492	C₂×D₄	1	8	yes	complemented
372	C₂×#489	C₂×D₄	1	16	yes	complemented
373	C₂×#487	C₂×D₄	1	8	yes	complemented
374	C₂×#486	C₂×D₄	1	8	yes	complemented
375	C₂×#484	C₂⁴	1	4	yes	—
376	C₂×#481	C₂⁴	1	4	yes	—
377	C₂×#463	C₂×D₄	1	16	yes	complemented
378	C₂×#463	C₂×D₄	1	16	yes	complemented
379	C₂×#461	C₂×D₄	1	8	yes	complemented
380	C₂×#461	C₂×D₄	1	8	yes	complemented
381	C₂×#459	C₂×D₄	1	8	yes	complemented
382	C₂×#459	C₂×D₄	1	8	yes	complemented
383	C₂×#449	C₂×D₄	1	16	yes	—
384	C₂×#449	C₂×D₄	1	16	yes	—
385	C₂×#448	C₂⁴	1	16	yes	—
386	C₂×#450	C₂⁴	1	4	yes	—
387	C₂×#447	C₂⁴	1	4	yes	—
388	C₂×#447	C₂⁴	1	16	yes	—
389	#2973	C₂⁴	1	8	yes	—
390	#2972	C₂⁴	1	8	yes	—
391	C₂×#432	C₂×D₄	1	4	yes	—
392	C₂×#432	C₂⁴	1	2	yes	—
393	C₂×#432	C₂⁴	1	4	yes	—
394	C₂×#431	C₂×D₄	1	4	yes	—
395	C₂×#431	C₂⁴	1	2	yes	—
396	C₂×#431	C₂⁴	1	4	yes	—
397	C₂×#423	C₂×D₄	1	2	yes	—
398	C₂×#423	C₂×D₄	1	2	yes	—
399	C₂²×C₄⋊C₈	C₂⁴	1	2	yes	—
400	C₂²×C₄⋊C₈	C₂⁴	1	2	yes	—
401	C₂×#417	C₂×D₄	1	8	yes	—
402	C₂×#417	C₂×D₄	1	8	yes	—
403	C₂²×#103	C₂⁴	1	4	yes	—
404	C₂²×#102	C₂⁴	1	4	yes	—
405	C₂²×#99	C₂×D₄	1	8	yes	—
406	C₂×#407	C₂⁴	1	2	yes	—
407	C₂×#407	C₂⁴	1	4	yes	—
408	C₂×C₄×M₁₆	C₂×D₄	1	4	yes	—
409	#2504	C₂⁴	1	16	yes	—
410	#2487	C₂⁴	1	4	yes	—
411	#2487	C₂⁴	1	4	yes	—
412	#2433	C₂⁴	1	16	yes	—
413	#2408	C₂⁴	1	4	yes	—
414	#2408	C₂⁴	1	4	yes	—
415	Q₈×C₂²⋊C₄	C₂⁴	1	16	yes	—
416	D₄×C₂²⋊C₄	C₂⁴	1	16	yes	—
417	#2285	C₂⁴	1	4	yes	—
418	#2283	C₂×D₄	1	4	yes	—
419	#2283	C₂×D₄	1	4	yes	—
420	#2283	C₂⁴	1	2	yes	—
421	#2283	C₂⁴	1	2	yes	—
422	#2283	C₂⁴	1	4	yes	—
423	#2283	C₂⁴	1	4	yes	—
424	#2283	C₂⁴	1	4	yes	—
425	#2280	C₂⁴	1	4	yes	—
426	C₂×#381	C₂×D₄	1	4	yes	—
427	C₂×#380	C₂×D₄	1	4	yes	—
428	C₂×#380	C₂⁴	1	2	yes	—
429	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
430	#1996	C₂⁴	1	16	yes	—
431	#1964	C₂⁴	1	16	yes	—
432	#1964	C₂⁴	1	32	yes	—
433	#1893	C₂⁴	1	32	yes	—
434	#1893	C₂⁴	1	8	yes	—
435	#1892	C₂⁴	1	8	yes	—
436	#1869	C₂⁴	1	8	yes	—
437	#1869	C₂⁴	1	8	yes	—
438	#1850	C₂⁴	1	32	yes	—
439	#1824	C₂⁴	1	16	yes	—
440	#1820	C₂×D₄	1	4	yes	—
441	#1820	C₂×D₄	1	8	yes	—
442	#1820	C₂×D₄	1	4	yes	—
443	#1799	C₂×D₄	1	8	yes	—
444	#1799	C₂×D₄	1	8	yes	—
445	#1799	C₂×D₄	1	8	yes	—
446	#1799	C₂×D₄	1	8	yes	—
447	#1799	C₂⁴	1	8	yes	—
448	#1799	C₂⁴	1	8	yes	—
449	#1787	C₂⁴	1	8	yes	—
450	#1786	C₂⁴	1	16	yes	—
451	#1786	C₂⁴	1	8	yes	—
452	#1782	C₂×D₄	1	4	yes	—
453	#1782	C₂×D₄	1	4	yes	—
454	#1782	C₂×D₄	1	8	yes	—
455	C₄×#99	C₂×D₄	1	8	yes	—
456	C₄×#99	C₂×D₄	1	8	yes	—
457	C₄×#99	C₂⁴	1	8	yes	—
458	C₄×#99	C₂⁴	1	8	yes	—
459	C₂×#342	C₂×D₄	1	8	yes	—
460	#1519	C₂⁴	1	32	yes	—
461	#1289	C₂⁴	1	32	yes	—
462	#1282	C₂⁴	1	32	yes	—
463	C₂²×#41	#121	1	2	yes	—
464	C₂²×#41	#121	1	1	yes	characteristic
465	C₂²×#41	#121	1	1	yes	characteristic
466	C₂²×#41	C₂²×D₄	1	2	yes	—
467	C₂²×#41	C₂²×D₄	1	4	yes	—
468	C₂²×#41	C₂²×D₄	1	8	yes	—
469	C₂²×#41	C₂²×D₄	1	4	yes	—
470	C₂²×#41	C₂²×D₄	1	4	yes	—
471	C₂²×#41	C₂²×D₄	1	8	yes	—
472	C₂²×#41	C₂²×D₄	1	4	yes	—
473	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
474	C₂²×#41	C₂²×D₄	1	2	yes	—
475	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
476	C₂³×Q₈	#121	1	1	yes	characteristic
477	C₂³×Q₈	C₂²×D₄	1	4	yes	—
478	C₂³×Q₈	C₂⁵	1	2	yes	—
479	C₂³×D₄	#121	1	1	yes	characteristic
480	C₂³×D₄	C₂²×D₄	1	2	yes	—
481	C₂³×D₄	C₂²×D₄	1	4	yes	—
482	C₂³×D₄	C₂²×D₄	1	4	yes	—
483	C₂³×D₄	C₂⁵	1	2	yes	—
484	C₂³×D₄	C₂⁵	1	2	yes	—
485	C₂⁴×C₄	#121	1	2	yes	—
486	C₂⁴×C₄	#121	1	2	yes	—
487	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
488	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
489	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
490	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
491	C₂²×SD₁₆	C₂²×D₄	1	16	yes	—
492	C₂²×SD₁₆	C₂²×D₄	1	16	yes	—
493	C₂²×D₈	C₂²×D₄	1	16	yes	—
494	C₂²×D₈	C₂²×D₄	1	16	yes	—
495	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
496	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
497	C₂³×C₈	C₂⁵	1	4	yes	—
498	#532	#120	1	4	yes	—
499	#532	#120	1	8	yes	—
500	#532	#120	1	8	yes	—
501	#532	#120	1	8	yes	—
502	#532	#120	1	4	yes	—
503	#532	#120	1	4	yes	—
504	#532	#120	1	4	yes	—
505	#532	#120	1	8	yes	—
506	#532	#120	1	8	yes	—
507	#532	#120	1	8	yes	—
508	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
510	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
511	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
512	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
513	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
514	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
515	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
516	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
518	C₂×#127	C₂²×D₄	1	4	yes	—
519	C₂×#127	C₂²×D₄	1	4	yes	—
520	C₂×#127	C₂²×D₄	1	1	yes	characteristic
521	C₂×#127	C₂²×D₄	1	4	yes	—
522	C₂×#127	C₂²×D₄	1	4	yes	—
523	C₂×#127	C₂²×D₄	1	4	yes	—
524	C₂×#127	C₂²×D₄	1	2	yes	—
525	C₂×#127	C₂²×D₄	1	2	yes	—
526	C₂×#125	C₂²×D₄	1	2	yes	—
527	C₂×#124	C₂²×D₄	1	2	yes	—
528	C₂×#124	C₂²×D₄	1	4	yes	—
529	C₂×#124	C₂²×D₄	1	4	yes	—
530	C₂×#124	C₂²×D₄	1	8	yes	—
531	C₂×#124	C₂²×D₄	1	8	yes	—
532	C₂×#124	C₂²×D₄	1	4	yes	—
533	C₂×#124	C₂²×D₄	1	4	yes	—
534	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
535	C₂×C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
536	C₂×C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
537	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
538	C₂×#121	C₂²×D₄	1	2	yes	—
539	C₂×#121	C₂²×D₄	1	8	yes	—
540	C₂×#121	C₂²×D₄	1	4	yes	—
541	C₂×#121	C₂²×D₄	1	4	yes	—
542	C₂×#121	C₂⁵	1	2	yes	—
543	C₂×#121	C₂⁵	1	8	yes	—
544	C₂×C₄×Q₈	#121	1	1	yes	characteristic
545	C₂×C₄×Q₈	#121	1	1	yes	characteristic
546	C₂×C₄×Q₈	#121	1	2	yes	—
547	C₂×C₄×Q₈	#121	1	1	yes	characteristic
548	C₂×C₄×Q₈	#121	1	1	yes	characteristic
549	C₂×C₄×Q₈	#121	1	2	yes	—
550	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
551	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
552	C₂×C₄×Q₈	C₂²×D₄	1	4	yes	—
553	C₂×C₄×Q₈	C₂²×D₄	1	4	yes	—
554	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
556	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
557	C₂×C₄×Q₈	C₂×#41	1	2	yes	—
558	C₂×C₄×Q₈	C₂×#41	1	1	yes	characteristic
559	C₂×C₄×Q₈	C₂×#41	1	1	yes	characteristic
560	C₂×C₄×D₄	#121	1	1	yes	characteristic
561	C₂×C₄×D₄	#121	1	1	yes	characteristic
562	C₂×C₄×D₄	#121	1	2	yes	—
563	C₂×C₄×D₄	#121	1	1	yes	characteristic
564	C₂×C₄×D₄	#121	1	2	yes	—
565	C₂×C₄×D₄	#121	1	1	yes	characteristic
566	C₂×C₄×D₄	#121	1	2	yes	—
567	C₂×C₄×D₄	#121	1	2	yes	—
568	C₂×C₄×D₄	#121	1	2	yes	—
569	C₂×C₄×D₄	#121	1	2	yes	—
570	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
571	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
572	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
573	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
574	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
575	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
576	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
577	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
578	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
579	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
580	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
581	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
582	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
583	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
584	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
585	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
586	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
587	C₂×C₄×D₄	C₂×#41	1	2	yes	—
588	C₂×C₄×D₄	C₂×#41	1	2	yes	—
589	C₂×C₄×D₄	C₂×#41	1	2	yes	—
590	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
591	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
592	C₂×C₄×D₄	C₂⁵	1	2	yes	—
593	C₂×C₄×D₄	C₂⁵	1	2	yes	—
594	C₂×#117	#121	1	2	yes	—
595	C₂×#117	#121	1	2	yes	—
596	C₂×#117	#121	1	2	yes	—
597	C₂×#117	#121	1	2	yes	—
598	C₂×#117	#121	1	2	yes	—
599	C₂×#117	#121	1	1	yes	characteristic
600	C₂×#117	#121	1	1	yes	characteristic
601	C₂×#117	C₂²×D₄	1	2	yes	—
602	C₂×#117	C₂²×D₄	1	1	yes	characteristic
603	C₂×#117	C₂²×D₄	1	1	yes	characteristic
604	C₂×#117	C₂²×D₄	1	2	yes	—
605	C₂×#117	C₂×#41	1	2	yes	—
606	C₂×#117	C₂×#41	1	2	yes	—
607	C₂×#117	C₂×#41	1	2	yes	—
608	C₂×#117	C₂×#41	1	2	yes	—
609	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
610	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
611	C₂²×C₄⋊C₄	#121	1	2	yes	—
612	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
613	C₂²×C₄⋊C₄	C₂×#41	1	2	yes	—
614	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
615	C₂²×C₂²⋊C₄	#121	1	2	yes	—
616	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
617	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
618	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
619	C₂²×C₄²	#121	1	2	yes	—
620	C₂²×C₄²	#121	1	2	yes	—
621	C₂²×C₄²	#121	1	2	yes	—
622	C₂²×C₄²	#121	1	2	yes	—
623	C₂²×C₄²	#121	1	2	yes	—
624	C₂²×C₄²	#121	1	2	yes	—
625	C₂²×C₄²	C₂²×D₄	1	2	yes	—
626	C₂²×C₄²	C₂²×D₄	1	2	yes	—
627	C₂²×C₄²	C₂²×D₄	1	2	yes	—
628	C₂²×C₄²	C₂²×D₄	1	2	yes	—
629	C₂²×C₄²	C₂²×D₄	1	2	yes	—
630	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
631	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
632	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
633	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
634	C₂²×C₄²	C₂²×D₄	1	2	yes	—
635	C₂²×C₄²	C₂²×D₄	1	2	yes	—
636	C₂²×C₄²	C₂²×D₄	1	2	yes	—
637	C₂²×C₄²	C₂²×D₄	1	2	yes	—
638	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
639	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
640	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
641	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
642	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
643	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
644	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
645	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
646	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
647	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
648	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
649	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
650	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
651	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
652	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
653	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
654	C₂×#103	C₂²×D₄	1	16	yes	—
655	C₂×#103	C₂²×D₄	1	16	yes	—
656	C₂×#102	C₂²×D₄	1	16	yes	—
657	C₂×#102	C₂²×D₄	1	16	yes	—
658	C₂×#99	C₂²×D₄	1	16	yes	—
659	C₂×#99	C₂²×D₄	1	16	yes	—
660	C₂×C₂²⋊C₈	C₂²×D₄	1	8	yes	—
661	C₂×C₂²⋊C₈	C₂⁵	1	4	yes	—
662	C₂×C₂²⋊C₈	C₂⁵	1	8	yes	—
663	C₂×#97	C₂²×D₄	1	8	yes	—
664	C₂×C₄×C₈	C₂²×D₄	1	8	yes	—
665	#381	C₂²×D₄	1	8	yes	—
666	#381	C₂²×D₄	1	8	yes	—
667	#380	C₂²×D₄	1	8	yes	—
668	#380	C₂²×D₄	1	8	yes	—
669	#380	C₂⁵	1	8	yes	—
670	#380	C₂⁵	1	4	yes	—
671	C₄×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
672	C₄×C₂²⋊C₄	C₂⁵	1	8	yes	—
673	#342	C₂²×D₄	1	16	yes	—
674	#342	C₂²×D₄	1	16	yes	—
675	C₂⁵	C₂×#121	1	2	yes	—
676	C₂⁵	C₂³×D₄	1	1	yes	characteristic
677	C₂×#41	C₂×#120	1	8	yes	—
678	C₂×#41	C₂×#120	1	8	yes	—
679	C₂×#41	C₂×#120	1	16	yes	—
680	C₂²×Q₈	C₂×#121	1	1	yes	characteristic
681	C₂²×Q₈	C₂×#121	1	2	yes	—
682	C₂²×Q₈	C₂×#121	1	1	yes	characteristic
683	C₂²×Q₈	C₂³×D₄	1	2	yes	—
684	C₂²×Q₈	C₂³×D₄	1	8	yes	—
685	C₂²×Q₈	C₂³×D₄	1	4	yes	—
686	C₂²×D₄	C₂×#121	1	1	yes	characteristic
687	C₂²×D₄	C₂×#121	1	2	yes	—
688	C₂²×D₄	C₂×#121	1	2	yes	—
689	C₂²×D₄	C₂×#121	1	2	yes	—
690	C₂²×D₄	C₂×#121	1	1	yes	characteristic
691	C₂²×D₄	C₂³×D₄	1	2	yes	—
692	C₂²×D₄	C₂³×D₄	1	8	yes	—
693	C₂²×D₄	C₂³×D₄	1	8	yes	—
694	C₂²×D₄	C₂³×D₄	1	4	yes	—
695	C₂²×D₄	C₂³×D₄	1	2	yes	—
696	C₂²×D₄	C₂³×D₄	1	2	yes	—
697	C₂³×C₄	C₂×#121	1	2	yes	—
698	C₂³×C₄	C₂×#121	1	2	yes	—
699	C₂³×C₄	C₂×#121	1	2	yes	—
700	C₂³×C₄	C₂×#121	1	2	yes	—
701	C₂³×C₄	C₂×#121	1	2	yes	—
702	C₂³×C₄	C₂×#121	1	2	yes	—
703	C₂³×C₄	C₂×#121	1	2	yes	—
704	C₂³×C₄	C₂×#121	1	2	yes	—
705	C₂³×C₄	C₂×#121	1	2	yes	—
706	C₂³×C₄	C₂×#121	1	2	yes	—
707	C₂³×C₄	C₂×#121	1	2	yes	—
708	C₂³×C₄	C₂×#121	1	2	yes	—
709	C₂³×C₄	C₂×#121	1	2	yes	—
710	C₂³×C₄	C₂×#121	1	1	yes	characteristic
711	C₂³×C₄	C₂×#121	1	1	yes	characteristic
712	C₂³×C₄	C₂×#121	1	1	yes	characteristic
713	C₂³×C₄	C₂×#121	1	1	yes	characteristic
714	C₂³×C₄	C₂×#121	1	1	yes	characteristic
715	C₂³×C₄	C₂×#121	1	1	yes	characteristic
716	C₂³×C₄	C₂×#121	1	1	yes	characteristic
717	C₂³×C₄	C₂×#121	1	1	yes	characteristic
718	C₂³×C₄	D₄²	1	2	yes	—
719	C₂³×C₄	D₄²	1	2	yes	—
720	C₂³×C₄	D₄²	1	2	yes	—
721	C₂³×C₄	D₄²	1	2	yes	—
722	C₂³×C₄	D₄²	1	2	yes	—
723	C₂³×C₄	D₄²	1	2	yes	—
724	C₂³×C₄	D₄²	1	2	yes	—
725	C₂³×C₄	D₄²	1	2	yes	—
726	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
727	C₂³×C₄	C₂³×D₄	1	2	yes	—
728	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
729	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
730	C₂³×C₄	C₂³×D₄	1	2	yes	—
731	C₂³×C₄	C₂³×D₄	1	2	yes	—
732	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
733	C₂³×C₄	C₂³×D₄	1	2	yes	—
734	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
735	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
736	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
737	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
738	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
739	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
740	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
741	C₂³×C₄	C₂⁶	1	1	yes	characteristic
742	C₂²×C₈	C₂³×D₄	1	8	yes	—
743	C₂²×C₈	C₂³×D₄	1	8	yes	—
744	C₄⋊Q₈	C₂×#120	1	4	yes	—
745	C₄⋊Q₈	C₂×#120	1	4	yes	—
746	C₄⋊Q₈	C₂×#120	1	8	yes	—
747	#127	C₂×#120	1	4	yes	—
748	#127	C₂×#120	1	4	yes	—
749	#127	C₂×#120	1	8	yes	—
750	#124	C₂×#120	1	8	yes	—
751	#124	C₂×#120	1	8	yes	—
752	#124	C₂×#120	1	16	yes	—
753	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
755	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
757	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
759	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
761	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
762	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
763	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
764	C₂×C₄⋊C₄	C₂×#121	1	2	yes	—
765	C₂×C₄⋊C₄	C₂³×D₄	1	8	yes	—
766	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
767	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
768	C₂×C₄⋊C₄	C₂²×#41	1	2	yes	—
769	C₂×C₄⋊C₄	C₂²×#41	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂×#121	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
779	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂²×#41	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂²×#41	1	2	yes	—
783	C₂×C₄²	C₂×#120	1	1	yes	characteristic
784	C₂×C₄²	C₂×#120	1	2	yes	—
785	C₂×C₄²	C₂×#120	1	2	yes	—
786	C₂×C₄²	C₂×#120	1	2	yes	—
787	C₂×C₄²	C₂×#120	1	2	yes	—
788	C₂×C₄²	C₂×#120	1	2	yes	—
789	C₂×C₄²	C₂×#120	1	2	yes	—
790	C₂×C₄²	C₂×#120	1	1	yes	characteristic
791	C₂×C₄²	C₂×#120	1	1	yes	characteristic
792	C₂×C₄²	C₂×#120	1	1	yes	characteristic
793	C₂×C₄²	C₂×#121	1	2	yes	—
794	C₂×C₄²	C₂×#121	1	2	yes	—
795	C₂×C₄²	C₂×#121	1	2	yes	—
796	C₂×C₄²	C₂×#121	1	2	yes	—
797	C₂×C₄²	C₂×#121	1	2	yes	—
798	C₂×C₄²	C₂×#121	1	2	yes	—
799	C₂×C₄²	C₂×#121	1	2	yes	—
800	C₂×C₄²	C₂×#121	1	2	yes	—
801	C₂×C₄²	C₂×#121	1	2	yes	—
802	C₂×C₄²	C₂×#121	1	2	yes	—
803	C₂×C₄²	C₂×#121	1	1	yes	characteristic
804	C₂×C₄²	C₂×#121	1	1	yes	characteristic
805	C₂×C₄²	C₂×#121	1	1	yes	characteristic
806	C₂×C₄²	C₂×#121	1	1	yes	characteristic
807	C₂×C₄²	C₂×#121	1	1	yes	characteristic
808	C₂×C₄²	C₂×#121	1	1	yes	characteristic
809	C₂×C₄²	C₂×#121	1	1	yes	characteristic
810	C₂×C₄²	C₂×#121	1	1	yes	characteristic
811	C₂×C₄²	#534	1	2	yes	—
812	C₂×C₄²	#534	1	2	yes	—
813	C₂×C₄²	#534	1	1	yes	characteristic
814	C₂×C₄²	#534	1	2	yes	—
815	C₂×C₄²	#534	1	2	yes	—
816	C₂×C₄²	#534	1	2	yes	—
817	C₂×C₄²	#534	1	2	yes	—
818	C₂×C₄²	#534	1	1	yes	characteristic
819	C₂×C₄²	#534	1	1	yes	characteristic
820	C₂×C₄²	#534	1	1	yes	characteristic
821	C₂×C₄²	D₄²	1	2	yes	—
822	C₂×C₄²	D₄²	1	2	yes	—
823	C₂×C₄²	D₄²	1	2	yes	—
824	C₂×C₄²	D₄²	1	2	yes	—
825	C₂×C₄²	D₄²	1	2	yes	—
826	C₂×C₄²	D₄²	1	2	yes	—
827	C₂×C₄²	D₄²	1	2	yes	—
828	C₂×C₄²	D₄²	1	2	yes	—
829	C₂×C₄²	#546	1	2	yes	—
830	C₂×C₄²	#546	1	2	yes	—
831	C₂×C₄²	#546	1	2	yes	—
832	C₂×C₄²	#546	1	2	yes	—
833	C₂×C₄²	#546	1	2	yes	—
834	C₂×C₄²	#546	1	2	yes	—
835	C₂×C₄²	#546	1	2	yes	—
836	C₂×C₄²	#546	1	2	yes	—
837	C₂×C₄²	#546	1	2	yes	—
838	C₂×C₄²	#546	1	2	yes	—
839	C₂×C₄²	#546	1	2	yes	—
840	C₂×C₄²	#546	1	2	yes	—
841	C₂×C₄²	#546	1	2	yes	—
842	C₂×C₄²	#546	1	2	yes	—
843	C₂×C₄²	#546	1	2	yes	—
844	C₂×C₄²	#546	1	2	yes	—
845	C₂×C₄²	C₂³×D₄	1	2	yes	—
846	C₂×C₄²	C₂³×D₄	1	2	yes	—
847	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
848	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
849	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
850	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
851	C₂×C₄²	C₂³×D₄	1	2	yes	—
852	C₂×C₄²	C₂³×D₄	1	2	yes	—
853	C₂×C₄²	C₂³×D₄	1	2	yes	—
854	C₂×C₄²	C₂³×D₄	1	2	yes	—
855	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
856	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
857	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
858	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
859	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
860	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
861	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
862	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
863	C₂⁴	C₂²×#121	1	1	yes	characteristic
864	C₂⁴	C₂²×#121	1	2	yes	—
865	C₂⁴	C₂²×#121	1	2	yes	—
866	C₂⁴	C₂²×#121	1	1	yes	characteristic
867	C₂⁴	C₂×D₄²	1	2	yes	—
868	C₂⁴	C₂×D₄²	1	2	yes	—
869	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
870	C₂×Q₈	C₂²×#120	1	8	yes	—
871	C₂×D₄	C₂²×#120	1	8	yes	—
872	C₂×D₄	#3585	1	8	yes	—
873	C₂²×C₄	#2410	1	1	yes	characteristic
874	C₂²×C₄	#2410	1	1	yes	characteristic
875	C₂²×C₄	#2410	1	2	yes	—
876	C₂²×C₄	#2410	1	1	yes	characteristic
877	C₂²×C₄	#2410	1	1	yes	characteristic
878	C₂²×C₄	#2410	1	1	yes	characteristic
879	C₂²×C₄	#2410	1	1	yes	characteristic
880	C₂²×C₄	#2410	1	1	yes	characteristic
881	C₂²×C₄	#2410	1	1	yes	characteristic
882	C₂²×C₄	#2410	1	2	yes	—
883	C₂²×C₄	#2410	1	2	yes	—
884	C₂²×C₄	#2410	1	2	yes	—
885	C₂²×C₄	#2410	1	2	yes	—
886	C₂²×C₄	#2410	1	2	yes	—
887	C₂²×C₄	#2410	1	2	yes	—
888	C₂²×C₄	#2410	1	2	yes	—
889	C₂²×C₄	#2410	1	2	yes	—
890	C₂²×C₄	#2410	1	2	yes	—
891	C₂²×C₄	#2410	1	2	yes	—
892	C₂²×C₄	#2410	1	2	yes	—
893	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
894	C₂²×C₄	C₂²×#120	1	2	yes	—
895	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
896	C₂²×C₄	C₂²×#121	1	2	yes	—
897	C₂²×C₄	C₂²×#121	1	2	yes	—
898	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
899	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
900	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
901	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
902	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
903	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
904	C₂²×C₄	C₂²×#121	1	2	yes	—
905	C₂²×C₄	C₂²×#121	1	2	yes	—
906	C₂²×C₄	C₂²×#121	1	2	yes	—
907	C₂²×C₄	C₂²×#121	1	2	yes	—
908	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
909	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
910	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
911	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
912	C₂²×C₄	C₂×#534	1	1	yes	characteristic
913	C₂²×C₄	C₂×#534	1	1	yes	characteristic
914	C₂²×C₄	C₂×#534	1	2	yes	—
915	C₂²×C₄	C₂×D₄²	1	2	yes	—
916	C₂²×C₄	C₂×D₄²	1	2	yes	—
917	C₂²×C₄	C₂×D₄²	1	2	yes	—
918	C₂²×C₄	C₂×D₄²	1	2	yes	—
919	C₂²×C₄	C₂×D₄²	1	2	yes	—
920	C₂²×C₄	C₂×D₄²	1	2	yes	—
921	C₂²×C₄	C₂×D₄²	1	2	yes	—
922	C₂²×C₄	C₂×D₄²	1	2	yes	—
923	C₂²×C₄	C₂×D₄²	1	2	yes	—
924	C₂²×C₄	C₂×D₄²	1	2	yes	—
925	C₂²×C₄	C₂×#546	1	2	yes	—
926	C₂²×C₄	C₂×#546	1	2	yes	—
927	C₂²×C₄	C₂×#546	1	2	yes	—
928	C₂²×C₄	C₂×#546	1	2	yes	—
929	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
930	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
931	C₂²×C₄	C₂³×#41	1	1	yes	characteristic
932	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
933	C₄²	#2410	1	1	yes	characteristic
934	C₄²	#2410	1	1	yes	characteristic
935	C₄²	#2410	1	1	yes	characteristic
936	C₄²	#2410	1	1	yes	characteristic
937	C₄²	#2410	1	1	yes	characteristic
938	C₄²	#2410	1	1	yes	characteristic
939	C₄²	#2410	1	1	yes	characteristic
940	C₄²	#2410	1	1	yes	characteristic
941	C₄²	#2410	1	2	yes	—
942	C₄²	#2410	1	2	yes	—
943	C₄²	#2410	1	2	yes	—
944	C₄²	#2410	1	2	yes	—
945	C₄²	#2410	1	2	yes	—
946	C₄²	#2410	1	2	yes	—
947	C₄²	#2410	1	2	yes	—
948	C₄²	#2410	1	2	yes	—
949	C₄²	#2410	1	2	yes	—
950	C₄²	#2410	1	2	yes	—
951	C₄²	#2410	1	2	yes	—
952	C₄²	#2410	1	2	yes	—
953	C₄²	C₂²×#120	1	1	yes	characteristic
954	C₄²	C₂²×#120	1	2	yes	—
955	C₄²	C₂²×#120	1	1	yes	characteristic
956	C₄²	C₂²×#120	1	2	yes	—
957	C₄²	C₂²×#120	1	1	yes	characteristic
958	C₄²	C₂²×#120	1	1	yes	characteristic
959	C₄²	C₂×#534	1	2	yes	—
960	C₄²	C₂×#534	1	2	yes	—
961	C₄²	C₂×#534	1	1	yes	characteristic
962	C₄²	C₂×#534	1	1	yes	characteristic
963	C₄²	C₂×#534	1	1	yes	characteristic
964	C₄²	C₂×#534	1	1	yes	characteristic
965	C₄²	C₂×#546	1	2	yes	—
966	C₄²	C₂×#546	1	2	yes	—
967	C₄²	C₂×#546	1	2	yes	—
968	C₄²	C₂×#546	1	2	yes	—
969	C₄²	C₂×#546	1	2	yes	—
970	C₄²	C₂×#546	1	2	yes	—
971	C₄²	C₂×#546	1	2	yes	—
972	C₄²	C₂×#546	1	2	yes	—
973	C₂³	C₂×#2410	1	2	yes	—
974	C₂³	C₂×#2410	1	1	yes	characteristic
975	C₂³	C₂×#2410	1	1	yes	characteristic
976	C₂³	#60426	1	4	yes	—
977	C₂³	C₂³×#121	1	1	yes	characteristic
978	C₂³	C₂²×D₄²	1	2	yes	—
979	C₂³	C₂×#3585	1	4	yes	—
980	C₂×C₄	C₂×#2410	1	1	yes	characteristic
981	C₂×C₄	C₂×#2410	1	1	yes	characteristic
982	C₂×C₄	C₂×#2410	1	1	yes	characteristic
983	C₂×C₄	C₂×#2410	1	1	yes	characteristic
984	C₂×C₄	C₂×#2410	1	1	yes	characteristic
985	C₂×C₄	C₂×#2410	1	1	yes	characteristic
986	C₂×C₄	C₂×#2410	1	1	yes	characteristic
987	C₂×C₄	C₂×#2410	1	1	yes	characteristic
988	C₂×C₄	C₂×#2410	1	2	yes	—
989	C₂×C₄	C₂×#2410	1	2	yes	—
990	C₂×C₄	C₂×#2410	1	2	yes	—
991	C₂×C₄	C₂×#2410	1	2	yes	—
992	C₂×C₄	C₂×#2410	1	2	yes	—
993	C₂×C₄	C₂×#2410	1	1	yes	characteristic
994	C₂×C₄	C₂×#2410	1	1	yes	characteristic
995	C₂×C₄	#60399	1	2	yes	—
996	C₂×C₄	#60401	1	2	yes	—
997	C₂×C₄	#60426	1	4	yes	—
998	C₂×C₄	C₂³×#120	1	1	yes	characteristic
999	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1000	C₂×C₄	C₂²×#546	1	2	yes	—
1001	C₂²	#6438001	1	2	yes	—
1002	C₂²	C₂²×#2410	1	1	yes	characteristic
1003	C₂²	C₂×#60426	1	2	yes	—
1004	C₂²	#10576108	1	4	yes	—
1005	C₄	#6438001	1	2	yes	—
1006	C₄	#6438015	1	2	yes	—
1007	C₄	C₂×#60399	1	1	yes	characteristic
1008	C₄	C₂×#60401	1	1	yes	characteristic
1009	C₂	C₂×#6438015	1	1	yes	characteristic
1010	C₂	#72306136	1	1	yes	characteristic
1011	C₂	C₂×#6438001	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂²×#2410
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄² ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72316243	C₂	semidirect
2. #72316242	C₂	semidirect
3. #72316236	C₂	semidirect
4. #72316234	C₂	semidirect
5. #72316233	C₂	semidirect
6. #72316231	C₂	semidirect
7. #72316230	C₂	semidirect
8. #72316228	C₂	semidirect
9. #72316222	C₂	semidirect
10. #72316218	C₂	semidirect
11. #72316153	C₂	semidirect
12. #72315941	C₂	semidirect
13. #72315842	C₂	semidirect
14. #72313062	C₂	semidirect
15. C₂×#6487648	C₂	semidirect
16. #72306580	C₂	semidirect
17. #72306532	C₂	semidirect
18. #72302151	C₂	semidirect
21. #10581784	C₂²	semidirect
22. #10581750	C₂²	semidirect
23. #10581748	C₂²	semidirect
24. #10581739	C₂²	semidirect
25. #10581737	C₂²	semidirect
29. C₂×#60558	C₂²	semidirect
30. C₂²×#3036	C₂²	semidirect
32. C₂×#35237	C₂²	semidirect
34. #7625966	C₂²	semidirect
35. #6513428	C₂²	semidirect
36. #6513424	C₂²	semidirect
37. #6513417	C₂²	semidirect
38. #6512767	C₂²	semidirect
39. #6512765	C₂²	semidirect
40. #6512763	C₂²	semidirect
41. #6512761	C₂²	semidirect
42. #6512755	C₂²	semidirect
44. #6487648	C₂²	semidirect
45. #6487648	C₂²	semidirect
46. C₂×#25900	C₂²	semidirect
47. C₂×#25771	C₂²	semidirect
48. #6440512	C₂²	semidirect
49. #6440426	C₂²	semidirect
50. #6437684	C₂²	semidirect
51. #6437518	C₂²	semidirect
52. #6386373	C₂²	semidirect
53. #6386295	C₂²	semidirect
54. #6386226	C₂²	semidirect
55. #6386116	C₂²	semidirect
56. #6385980	C₂²	semidirect
57. #41×#99	C₂²	semidirect
58. #6375002	C₂²	semidirect
59. #6374578	C₂²	semidirect
60. #6374558	C₂²	semidirect
61. #6374554	C₂²	semidirect
63. #6374310	C₂²	semidirect
64. C₂×#21794	C₂²	semidirect
65. #6370977	C₂²	semidirect
68. #6343377	C₂²	semidirect
69. #267448	C₂²	semidirect
70. #267443	C₂²	semidirect
71. #267440	C₂²	semidirect
72. #267435	C₂²	semidirect
73. #267384	C₂²	semidirect
74. #267379	C₂²	semidirect
75. #267376	C₂²	semidirect
76. #267371	C₂²	semidirect
77. #239397	C₂²	semidirect
78. #239387	C₂²	semidirect
79. #239373	C₂²	semidirect
80. #239372	C₂²	semidirect
81. #235105	C₂²	semidirect
82. #235099	C₂²	semidirect
83. #235090	C₂²	semidirect
84. #235089	C₂²	semidirect
85. #235067	C₂²	semidirect
86. #201391	C₂²	semidirect
87. #201388	C₂²	semidirect
88. #201386	C₂²	semidirect
89. #201383	C₂²	semidirect
90. #201373	C₂²	semidirect
91. #198487	C₂²	semidirect
92. #198480	C₂²	semidirect
93. #198456	C₂²	semidirect
94. #198416	C₂²	semidirect
95. #192046	C₂²	semidirect
96. #192045	C₂²	semidirect
97. #192041	C₂²	semidirect
98. #192037	C₂²	semidirect
99. #185348	C₂²	semidirect
100. #185348	C₂²	semidirect
101. #185339	C₂²	semidirect
102. #185332	C₂²	semidirect
103. #181483	C₂²	semidirect
104. #181239	C₂²	semidirect
109. C₂×#3511	D₄	semidirect
111. C₂×#3508	D₄	semidirect
115. C₂×#3517	D₄	semidirect
116. C₂×#3514	D₄	semidirect
119. C₂×#3480	D₄	semidirect
120. C₂×D₄×#41	D₄	semidirect
122. C₂×#3444	D₄	semidirect
124. C₂²×#532	D₄	semidirect
136. C₂×#3214	D₄	semidirect
138. C₂×#3207	D₄	semidirect
142. C₂×#3151	D₄	semidirect
143. C₂×#3141	D₄	semidirect
144. C₂×#3110	C₂³	semidirect
145. C₂×#3109	C₂³	semidirect
146. C₂×#3105	C₂³	semidirect
148. C₂×#3036	D₄	semidirect
149. C₂×#3036	D₄	semidirect
150. C₂²×#463	C₂³	semidirect
151. C₂²×#461	C₂³	semidirect
152. C₂²×#459	C₂³	semidirect
172. #34377	C₂³	semidirect
173. #34371	C₂³	semidirect
174. #34364	C₂³	semidirect
183. #24533	C₂³	semidirect
184. #24531	C₂³	semidirect
185. #24356	C₂³	semidirect
186. #24354	C₂³	semidirect
187. #24042	C₂³	semidirect
188. #24039	C₂³	semidirect
189. #24036	C₂³	semidirect
190. #24033	C₂³	semidirect
191. #23858	C₂³	semidirect
192. #23855	C₂³	semidirect
193. #23851	C₂³	semidirect
194. #23848	C₂³	semidirect
195. #22534	C₂³	semidirect
196. Q₈×#99	C₂³	semidirect
197. #22476	C₂³	semidirect
198. D₄×#99	C₂³	semidirect
199. #21977	C₂³	semidirect
200. #21973	C₂³	semidirect
201. #21889	C₂³	semidirect
203. #21888	C₂³	semidirect
204. #21886	C₂³	semidirect
206. #21875	C₂³	semidirect
210. #21826	C₂³	semidirect
211. #21811	C₂³	semidirect
212. #21810	C₂³	semidirect
213. #21806	C₂³	semidirect
216. #21794	C₂³	semidirect
223. #20738	C₂³	semidirect
224. #20733	C₂³	semidirect
245. #10565	C₂³	semidirect
246. #10564	C₂³	semidirect
247. #9958	C₂³	semidirect
248. #9954	C₂³	semidirect
249. #9950	C₂³	semidirect
250. #9946	C₂³	semidirect
251. #9473	C₂³	semidirect
252. #9472	C₂³	semidirect
253. #9469	C₂³	semidirect
254. #9468	C₂³	semidirect
255. #9262	C₂³	semidirect
256. #9259	C₂³	semidirect
257. #8852	C₂³	semidirect
258. #8851	C₂³	semidirect
261. #7984	C₂³	semidirect
263. #7980	C₂³	semidirect
265. #7928	C₂³	semidirect
266. #7926	C₂³	semidirect
278. C₂×#559	C₂×D₄	semidirect
279. C₂×#559	C₂×D₄	semidirect
280. C₂×#557	C₂×D₄	semidirect
281. C₂×#556	C₂×D₄	semidirect
282. C₂×#556	C₂×D₄	semidirect
284. C₂×#550	C₂×D₄	semidirect
285. C₂×#550	C₂×D₄	semidirect
286. C₂×D₄×Q₈	C₂×D₄	semidirect
289. C₂×#548	C₂×D₄	semidirect
292. C₂×#547	C₂×D₄	semidirect
294. C₂×#546	C₂×D₄	semidirect
296. C₂×D₄²	C₂×D₄	semidirect
300. C₂×#533	C₂×D₄	semidirect
301. C₂×#533	C₂×D₄	semidirect
316. C₂×#532	C₂×D₄	semidirect
317. C₂×#532	C₂×D₄	semidirect
318. C₂×#532	C₂×D₄	semidirect
319. C₂×#532	C₂×D₄	semidirect
320. C₂×#532	C₂×D₄	semidirect
325. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
328. C₂²×#127	C₂×D₄	semidirect
331. C₂×#529	C₂×D₄	semidirect
332. C₂×#529	C₂×D₄	semidirect
334. C₂²×#124	C₂×D₄	semidirect
369. C₂×#496	C₂×D₄	semidirect
370. C₂×#493	C₂×D₄	semidirect
371. C₂×#492	C₂×D₄	semidirect
372. C₂×#489	C₂×D₄	semidirect
373. C₂×#487	C₂×D₄	semidirect
374. C₂×#486	C₂×D₄	semidirect
377. C₂×#463	C₂×D₄	semidirect
378. C₂×#463	C₂×D₄	semidirect
379. C₂×#461	C₂×D₄	semidirect
380. C₂×#461	C₂×D₄	semidirect
381. C₂×#459	C₂×D₄	semidirect
382. C₂×#459	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72316243	2
#72316242	2
#72316236	2
#72316234	2
#72316233	2
#72316231	2
#72316230	2
#72316228	2
#72316222	2
#72316218	2
#72316153	2
#72315941	2
#72315842	2
#72313062	2
C₂×#6487648	2
#72306580	2
#72306532	2
#72302151	2