Subgroups — #72337513

Order 2048.

At least 9948 conjugacy classes of subgroups; only the 2624 normal subgroups are shown.

The subgroup lattice has 910 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72337511	C₂	1	1	yes	maximal, characteristic, complemented
2	#72337510	C₂	1	1	yes	maximal, characteristic, complemented
3	#72337497	C₂	1	2	yes	maximal, complemented
4	C₂²×#12718	C₂	1	1	yes	maximal, characteristic, complemented
5	#72337468	C₂	1	4	yes	maximal, complemented
6	#72337457	C₂	1	4	yes	maximal, complemented
7	#72337443	C₂	1	4	yes	maximal, complemented
8	#72337427	C₂	1	4	yes	maximal, complemented
9	#72312834	C₂	1	2	yes	maximal, complemented
10	C₂×#493419	C₂	1	1	yes	maximal, characteristic, complemented
11	#72302959	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#494758	C₂	1	2	yes	maximal, complemented
13	C₂×#10576116	C₂	1	1	yes	maximal, characteristic
14	#72255817	C₂	1	2	yes	maximal, complemented
15	C₂²×#33359	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#3585	C₄	1	1	yes	characteristic, complemented
17	C₂²×#3585	C₂²	1	1	yes	characteristic
18	C₂×#62812	C₂²	1	1	yes	characteristic
19	C₂²×#3498	C₂²	1	1	yes	characteristic
20	C₂×#61082	C₄	1	2	yes	complemented
21	C₂×#61082	C₄	1	2	yes	complemented
22	C₂×#61082	C₂²	1	2	yes	—
23	C₂×#61082	C₂²	1	2	yes	—
24	C₂×#61087	C₄	1	2	yes	complemented
25	C₂×#61087	C₂²	1	2	yes	—
26	C₂×#61089	C₄	1	2	yes	complemented
27	C₂×#61089	C₂²	1	2	yes	—
28	C₂²×#3151	C₄	1	1	yes	characteristic, complemented
29	C₂×#60415	C₄	1	1	yes	characteristic, complemented
30	C₂²×#3038	C₄	1	1	yes	characteristic, complemented
31	C₂×#60454	C₄	1	1	yes	characteristic, complemented
32	C₂×#60454	C₂²	1	1	yes	characteristic
33	C₂×#60369	C₄	1	1	yes	characteristic, complemented
34	C₂×#60369	C₂²	1	1	yes	characteristic
35	C₂×#60367	C₄	1	1	yes	characteristic, complemented
36	C₂×#60367	C₂²	1	1	yes	characteristic
37	C₂×#60144	C₂²	1	1	yes	characteristic
38	C₂×C₄×#575	C₄	1	1	yes	characteristic, complemented
39	C₂²×#2883	C₂²	1	2	yes	complemented
40	C₂²×#2132	C₂²	1	1	yes	characteristic
41	C₂×#33359	C₂²	1	4	yes	complemented
42	C₂×#33359	C₂²	1	4	yes	complemented
43	C₂×#33358	C₂²	1	2	yes	complemented
44	C₂²×#2128	C₂²	1	2	yes	complemented
45	C₂²×#2126	C₂²	1	1	yes	characteristic
46	C₂²×#2126	C₂²	1	1	yes	characteristic
47	C₂²×#2126	C₂²	1	1	yes	characteristic
48	C₂×#33347	C₂²	1	2	yes	complemented
49	C₂²×#2122	C₂²	1	2	yes	complemented
50	C₂×#20623	C₂²	1	2	yes	complemented
51	C₂²×#1795	C₂²	1	2	yes	complemented
52	#6370692	C₂²	1	2	yes	complemented
53	C₂×#13102	C₂²	1	8	yes	complemented
54	C₂×#13100	C₂²	1	8	yes	complemented
55	#493435	C₂²	1	2	yes	complemented
56	#493434	C₂²	1	2	yes	complemented
57	#493432	C₂²	1	2	yes	complemented
58	#493431	C₂²	1	2	yes	complemented
59	C₂×#12718	C₂²	1	4	yes	complemented
60	C₂×#12718	C₂²	1	4	yes	complemented
61	C₂×#12718	C₂²	1	2	yes	complemented
62	C₂×#12716	C₂²	1	2	yes	complemented
63	C₂×#12717	C₂²	1	2	yes	complemented
64	C₂×#12715	C₂²	1	2	yes	complemented
65	C₂×#12589	C₂²	1	2	yes	complemented
66	C₂×#12577	C₂²	1	2	yes	complemented
67	#359611	C₂²	1	8	yes	complemented
68	#359609	C₂²	1	8	yes	complemented
69	#353340	C₂²	1	2	yes	complemented
70	#353326	C₂²	1	2	yes	complemented
71	#147726	C₂²	1	8	yes	complemented
72	#147725	C₂²	1	8	yes	complemented
73	#147586	C₂²	1	8	yes	complemented
74	#147585	C₂²	1	8	yes	complemented
75	#146725	C₂²	1	4	yes	complemented
76	#146724	C₂²	1	4	yes	complemented
77	#146713	C₂²	1	4	yes	complemented
78	#146712	C₂²	1	4	yes	complemented
79	C₂²×#585	C₂×C₄	1	1	yes	characteristic, complemented
80	C₂²×#585	C₂³	1	1	yes	characteristic
81	C₂³×H(5,𝔽₂)	C₂×C₄	1	1	yes	characteristic
82	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
83	C₂²×#577	C₂×C₄	1	2	yes	—
84	C₂²×#577	C₂×C₄	1	2	yes	complemented
85	C₂²×#577	C₂×C₄	1	2	yes	complemented
86	C₂²×#577	D₄	1	4	yes	—
87	C₂²×#577	C₂³	1	2	yes	—
88	C₂²×#576	C₂×C₄	1	2	yes	—
89	C₂²×#576	C₂×C₄	1	2	yes	complemented
90	C₂²×#576	C₂×C₄	1	2	yes	complemented
91	C₂²×#576	D₄	1	4	yes	—
92	C₂²×#576	C₂³	1	2	yes	—
93	C₂²×#575	C₂×C₄	1	1	yes	characteristic
94	C₂²×#575	C₂×C₄	1	1	yes	characteristic
95	C₂²×#575	C₂×C₄	1	1	yes	characteristic
96	C₂²×#575	D₄	1	2	yes	—
97	C₂²×#575	D₄	1	2	yes	—
98	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
99	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
100	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
101	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic, complemented
102	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic, complemented
103	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic, complemented
104	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	—
105	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	—
106	C₂²×#568	C₂×C₄	1	1	yes	characteristic, complemented
107	C₂²×#568	C₂³	1	1	yes	characteristic
108	C₂×#3500	C₂×C₄	1	1	yes	characteristic, complemented
109	C₂×#3500	C₂×C₄	1	1	yes	characteristic, complemented
110	C₂×#3500	C₂³	1	1	yes	characteristic
111	C₂×#3500	C₂³	1	1	yes	characteristic
112	C₂×#3499	C₂×C₄	1	1	yes	characteristic, complemented
113	C₂×#3499	C₂³	1	1	yes	characteristic
114	C₂×#3498	C₂×C₄	1	2	yes	—
115	C₂×#3498	C₂×C₄	1	2	yes	—
116	C₂×#3498	C₂×C₄	1	1	yes	characteristic, complemented
117	C₂×#3498	D₄	1	8	yes	—
118	C₂×#3498	D₄	1	8	yes	—
119	C₂×#3498	C₂³	1	2	yes	—
120	C₂×#3498	C₂³	1	2	yes	—
121	C₂×#3498	C₂³	1	1	yes	characteristic
122	C₂×#3449	C₂×C₄	1	1	yes	characteristic, complemented
123	C₂×#3449	C₂³	1	1	yes	characteristic
124	C₂²×#535	C₂×C₄	1	1	yes	characteristic
125	C₂²×#535	C₂³	1	1	yes	characteristic
126	C₂²×#532	C₂×C₄	1	1	yes	characteristic, complemented
127	C₂²×#532	C₂³	1	1	yes	characteristic
128	C₂³×#127	C₂×C₄	1	1	yes	characteristic
129	C₂²×C₄×#41	C₂×C₄	1	1	yes	characteristic
130	C₂²×C₄×#41	C₂×C₄	1	1	yes	characteristic, complemented
131	C₂²×#496	C₂×C₄	1	2	yes	complemented
132	C₂²×#496	C₂×C₄	1	2	yes	complemented
133	C₂²×#493	C₂×C₄	1	2	yes	complemented
134	C₂²×#492	C₂×C₄	1	2	yes	complemented
135	C₂×#3058	C₂×C₄	1	2	yes	complemented
136	C₂×#3058	C₂×C₄	1	2	yes	complemented
137	C₂×#3058	C₂×C₄	1	2	yes	complemented
138	C₂×#3058	C₂³	1	2	yes	—
139	C₂×#3057	C₂×C₄	1	2	yes	complemented
140	C₂×#3057	C₂×C₄	1	2	yes	complemented
141	C₂×#3057	C₂×C₄	1	2	yes	complemented
142	C₂×#3057	C₂³	1	2	yes	—
143	C₂×#3040	C₂×C₄	1	2	yes	complemented
144	C₂×#3040	C₂×C₄	1	2	yes	complemented
145	C₂×#3039	C₂×C₄	1	2	yes	complemented
146	C₂×#3038	C₂×C₄	1	2	yes	complemented
147	C₂×#3038	C₂×C₄	1	2	yes	complemented
148	C₂×#3038	C₂×C₄	1	2	yes	complemented
149	C₂×#3038	C₂×C₄	1	2	yes	complemented
150	C₂×#3038	C₂×C₄	1	2	yes	complemented
151	#60367	D₄	1	16	yes	—
152	C₂×#3010	C₂×C₄	1	2	yes	complemented
153	C₂×#3010	C₂×C₄	1	2	yes	complemented
154	C₂×#3010	C₂×C₄	1	2	yes	complemented
155	C₂×#3010	C₂³	1	2	yes	—
156	C₂×#3009	C₂×C₄	1	2	yes	—
157	C₂×#3009	C₂×C₄	1	2	yes	complemented
158	C₂×#3009	C₂×C₄	1	2	yes	complemented
159	C₂×#3009	C₂³	1	2	yes	—
160	C₂×#3008	C₂×C₄	1	2	yes	—
161	C₂×#3008	C₂×C₄	1	2	yes	complemented
162	C₂×#3008	C₂×C₄	1	2	yes	complemented
163	C₂×#3008	C₂×C₄	1	2	yes	complemented
164	C₂×#3008	C₂×C₄	1	2	yes	complemented
165	C₂×#3008	C₂×C₄	1	2	yes	complemented
166	C₂×#3008	C₂³	1	2	yes	—
167	C₂×#3008	C₂³	1	2	yes	—
168	C₂×#2943	C₂×C₄	1	2	yes	complemented
169	C₂×#2943	C₂×C₄	1	2	yes	complemented
170	C₂×C₄×#135	C₂×C₄	1	2	yes	complemented
171	C₂×C₄×#135	C₂×C₄	1	2	yes	complemented
172	C₂×#2932	C₂×C₄	1	2	yes	complemented
173	C₂×#2932	C₂³	1	2	yes	—
174	C₂×#2931	C₂×C₄	1	2	yes	complemented
175	C₂×#2931	C₂³	1	2	yes	—
176	C₂×#2911	C₂×C₄	1	1	yes	characteristic, complemented
177	C₂²×#423	C₂×C₄	1	1	yes	characteristic, complemented
178	C₂×#2896	C₂×C₄	1	1	yes	characteristic
179	C₂×#2896	C₂×C₄	1	1	yes	characteristic, complemented
180	C₂×#2896	C₂×C₄	1	1	yes	characteristic, complemented
181	C₂×#2896	C₂×C₄	1	1	yes	characteristic, complemented
182	C₂²×#418	C₂×C₄	1	1	yes	characteristic
183	C₂²×#418	C₂×C₄	1	1	yes	characteristic, complemented
184	C₂²×#413	C₂³	1	2	yes	—
185	C₂×#2883	C₂³	1	8	yes	—
186	C₂²×#410	C₂³	1	2	yes	—
187	C₂²×#410	C₂³	1	2	yes	—
188	C₂²×#410	C₂³	1	2	yes	—
189	C₂×#2879	C₂×C₄	1	1	yes	characteristic, complemented
190	C₂×#2879	C₂³	1	1	yes	characteristic
191	C₂²×C₄×M₁₆	C₂×C₄	1	1	yes	characteristic, complemented
192	C₂×#2132	C₂³	1	2	yes	—
193	C₂×#2132	C₂³	1	2	yes	—
194	C₂×#2129	C₂³	1	4	yes	complemented
195	C₂×#2128	C₂³	1	8	yes	—
196	C₂×#2128	C₂³	1	4	yes	complemented
197	C₂×#2126	D₄	1	8	yes	—
198	C₂×#2126	D₄	1	2	yes	—
199	C₂×#2126	D₄	1	2	yes	—
200	C₂×#2126	C₂³	1	2	yes	—
201	C₂×#2126	C₂³	1	2	yes	—
202	C₂×#2126	C₂³	1	2	yes	—
203	C₂×#2126	C₂³	1	2	yes	—
204	C₂×#2126	C₂³	1	2	yes	—
205	C₂×#2126	C₂³	1	2	yes	—
206	C₂²×#354	D₄	1	2	yes	—
207	C₂²×#353	D₄	1	2	yes	—
208	C₂×#2123	C₂³	1	4	yes	complemented
209	C₂×#2122	C₂³	1	8	yes	—
210	C₂×#2122	C₂³	1	4	yes	complemented
211	C₂×#1796	C₂³	1	4	yes	complemented
212	C₂×#1795	C₂³	1	8	yes	—
213	C₂×#1795	C₂³	1	4	yes	complemented
214	#20587	C₂³	1	4	yes	complemented
215	#20586	C₂³	1	4	yes	complemented
216	C₂×#1395	C₂³	1	8	yes	complemented
217	C₂×#1391	C₂³	1	8	yes	complemented
218	#10764	C₂³	1	8	yes	complemented
219	#10759	C₂³	1	8	yes	complemented
220	C₂²×2₋¹⁺⁴	C₂²×C₄	1	1	yes	characteristic
221	C₂²×2₋¹⁺⁴	C₂²×C₄	1	1	yes	characteristic, complemented
222	C₂²×2₋¹⁺⁴	C₂²×C₄	1	1	yes	characteristic, complemented
223	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
224	C₂²×2₋¹⁺⁴	C₂⁴	1	1	yes	characteristic
225	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	8	yes	complemented
226	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic
227	C₂²×H(5,𝔽₂)	C₂²×C₄	1	2	yes	—
228	C₂²×H(5,𝔽₂)	C₂²×C₄	1	2	yes	—
229	C₂²×H(5,𝔽₂)	C₂²×C₄	1	2	yes	—
230	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic, complemented
231	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic, complemented
232	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
233	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
234	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
235	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
236	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
237	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
238	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
239	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
240	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
241	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
242	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
243	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
244	C₂³×#41	C₂×D₄	1	2	yes	—
245	C₂³×#41	C₂×D₄	1	2	yes	—
246	C₂³×#41	C₂×D₄	1	2	yes	—
247	C₂³×#41	C₂⁴	1	1	yes	characteristic
248	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
249	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
250	C₂⁴×D₄	C₂×D₄	1	2	yes	—
251	C₂×#575	C₂²⋊C₄	1	8	yes	complemented
252	C₂²×#137	C₂²⋊C₄	1	1	yes	characteristic
253	C₂²×#137	C₂²⋊C₄	1	1	yes	characteristic
254	C₂²×#137	C₂²⋊C₄	1	2	yes	—
255	C₂²×#137	C₂²⋊C₄	1	4	yes	—
256	C₂²×#137	C₂²⋊C₄	1	2	yes	—
257	C₂²×#137	C₂²×C₄	1	2	yes	—
258	C₂²×#137	C₂²×C₄	1	2	yes	—
259	C₂²×#137	C₂×D₄	1	4	yes	—
260	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	2	yes	—
261	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	2	yes	—
262	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	2	yes	—
263	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	2	yes	—
264	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	4	yes	—
265	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	4	yes	—
266	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	2	yes	—
267	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	2	yes	—
268	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	1	yes	characteristic
269	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	1	yes	characteristic
270	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	4	yes	—
271	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	4	yes	—
272	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	8	yes	complemented
273	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	—
274	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	—
275	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	—
276	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	—
277	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	complemented
278	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	2	yes	complemented
279	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
280	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
281	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
282	C₂²×#135	C₂²⋊C₄	1	4	yes	—
283	C₂²×#135	C₂²⋊C₄	1	4	yes	—
284	C₂²×#135	C₂²⋊C₄	1	4	yes	—
285	C₂²×#135	C₂²×C₄	1	2	yes	—
286	C₂²×#135	C₂²×C₄	1	2	yes	—
287	C₂²×#135	C₂×D₄	1	4	yes	—
288	C₂²×#135	C₂×D₄	1	4	yes	—
289	C₂³×SD₁₆	C₂²⋊C₄	1	4	yes	—
290	C₂³×SD₁₆	C₂²⋊C₄	1	2	yes	—
291	C₂³×SD₁₆	C₂²×C₄	1	2	yes	—
292	C₂³×SD₁₆	C₂²×C₄	1	2	yes	—
293	C₂³×SD₁₆	C₂²×C₄	1	2	yes	complemented
294	C₂³×SD₁₆	C₂²×C₄	1	2	yes	complemented
295	C₂³×SD₁₆	C₂×D₄	1	4	yes	—
296	C₂³×D₈	C₂²⋊C₄	1	4	yes	—
297	C₂³×D₈	C₂²⋊C₄	1	2	yes	—
298	C₂³×D₈	C₂²×C₄	1	2	yes	—
299	C₂³×D₈	C₂²×C₄	1	2	yes	—
300	C₂³×D₈	C₂²×C₄	1	2	yes	complemented
301	C₂³×D₈	C₂²×C₄	1	2	yes	complemented
302	C₂³×D₈	C₂×D₄	1	4	yes	—
303	C₂²×#131	C₂²×C₄	1	2	yes	—
304	C₂²×#131	C₂²×C₄	1	2	yes	complemented
305	C₂²×#131	C₂²×C₄	1	2	yes	complemented
306	C₂²×#131	C₂×D₄	1	4	yes	—
307	C₂²×#131	C₂⁴	1	2	yes	—
308	C₂³×M₁₆	C₂²×C₄	1	1	yes	characteristic
309	C₂³×M₁₆	C₂²×C₄	1	1	yes	characteristic
310	C₂³×M₁₆	C₂²×C₄	1	1	yes	characteristic
311	C₂³×M₁₆	C₂²×C₄	1	1	yes	characteristic
312	C₂³×M₁₆	C₂×D₄	1	2	yes	—
313	C₂³×M₁₆	C₂×D₄	1	2	yes	—
314	#3498	C₂²⋊C₄	1	16	yes	complemented
315	#3498	C₂²⋊C₄	1	16	yes	complemented
316	#3498	C₂×D₄	1	8	yes	—
317	#3498	C₂×D₄	1	8	yes	—
318	#3498	C₂×D₄	1	8	yes	—
319	#3498	C₂×D₄	1	8	yes	—
320	#3449	C₂×D₄	1	8	yes	—
321	C₂×#536	C₂²×C₄	1	1	yes	characteristic
322	C₂×#536	C₂²×C₄	1	1	yes	characteristic, complemented
323	C₂×#536	C₂²×C₄	1	1	yes	characteristic, complemented
324	C₂×#536	C₂⁴	1	1	yes	characteristic
325	C₂×#535	C₂²⋊C₄	1	8	yes	complemented
326	C₂×#535	C₂²×C₄	1	2	yes	—
327	C₂×#535	C₂²×C₄	1	1	yes	characteristic
328	C₂×#535	C₂²×C₄	1	2	yes	—
329	C₂×#535	C₂²×C₄	1	2	yes	—
330	C₂×#535	C₂²×C₄	1	1	yes	characteristic, complemented
331	C₂×#535	C₂²×C₄	1	1	yes	characteristic, complemented
332	C₂×#535	C₂×D₄	1	4	yes	—
333	C₂×#535	C₂×D₄	1	4	yes	—
334	C₂×#535	C₂⁴	1	2	yes	—
335	C₂×#535	C₂⁴	1	1	yes	characteristic
336	C₂×#532	C₂²×C₄	1	1	yes	characteristic
337	C₂×#532	C₂²×C₄	1	1	yes	characteristic
338	C₂×#532	C₂×D₄	1	1	yes	characteristic
339	C₂×#532	C₂×D₄	1	1	yes	characteristic
340	C₂×#532	C₂×D₄	1	4	yes	—
341	C₂×#532	C₂×D₄	1	4	yes	—
342	C₂×#532	C₂×D₄	1	4	yes	—
343	C₂×#532	#41	1	1	yes	characteristic
344	C₂×#532	#41	1	1	yes	characteristic
345	C₂×#532	#41	1	4	yes	—
346	C₂×#532	C₂⁴	1	1	yes	characteristic
347	C₂×#532	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic, complemented
349	C₂²×C₄⋊Q₈	#41	1	1	yes	characteristic
350	C₂²×#127	C₂²⋊C₄	1	8	yes	complemented
351	C₂²×#127	C₂²×C₄	1	2	yes	—
352	C₂²×#127	C₂²×C₄	1	2	yes	—
353	C₂²×#127	C₂²×C₄	1	1	yes	characteristic, complemented
354	C₂²×#127	C₂×D₄	1	1	yes	characteristic
355	C₂²×#124	C₂²×C₄	1	1	yes	characteristic, complemented
356	C₂²×#124	C₂²×C₄	1	1	yes	characteristic, complemented
357	C₂²×#124	C₂×D₄	1	1	yes	characteristic
358	C₂²×#124	#41	1	1	yes	characteristic
359	C₂×C₄×#41	C₂²⋊C₄	1	8	yes	complemented
360	C₂×C₄×#41	C₂²×C₄	1	2	yes	—
361	C₂×C₄×#41	C₂²×C₄	1	2	yes	—
362	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic, complemented
363	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic, complemented
364	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic, complemented
365	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic, complemented
366	C₂²×#117	C₂²×C₄	1	1	yes	characteristic
367	C₂²×#117	C₂²×C₄	1	1	yes	characteristic
368	C₂³×C₄²	C₂²×C₄	1	1	yes	characteristic
369	#3009	C₂²⋊C₄	1	16	yes	complemented
370	#3009	C₂×D₄	1	16	yes	—
371	#3008	C₂²⋊C₄	1	16	yes	complemented
372	#3008	C₂×D₄	1	16	yes	—
373	C₂×#427	C₂²×C₄	1	2	yes	complemented
374	C₂×#427	C₂²×C₄	1	2	yes	complemented
375	C₂×#423	C₂²×C₄	1	2	yes	complemented
376	C₂×#423	C₂²×C₄	1	2	yes	complemented
377	#2896	C₂²⋊C₄	1	8	yes	complemented
378	C₂×#419	C₂²×C₄	1	2	yes	complemented
379	C₂×#419	C₂²×C₄	1	2	yes	complemented
380	C₂×#418	C₂²⋊C₄	1	8	yes	complemented
381	C₂×#418	C₂²×C₄	1	2	yes	—
382	C₂×#418	C₂²×C₄	1	2	yes	—
383	C₂×#418	C₂²×C₄	1	2	yes	complemented
384	C₂×#418	C₂²×C₄	1	2	yes	complemented
385	C₂×#418	C₂²×C₄	1	2	yes	complemented
386	C₂×#418	C₂²×C₄	1	2	yes	complemented
387	C₂×#416	C₂²×C₄	1	2	yes	—
388	C₂×#416	C₂²×C₄	1	2	yes	—
389	C₂×#416	C₂²×C₄	1	2	yes	complemented
390	C₂×#416	C₂²×C₄	1	2	yes	complemented
391	C₂×#413	C₂⁴	1	4	yes	—
392	C₂×#410	C₂×D₄	1	8	yes	—
393	C₂×#410	C₂×D₄	1	4	yes	—
394	C₂×#410	C₂⁴	1	4	yes	—
395	C₂×#410	C₂⁴	1	4	yes	—
396	C₂×#410	C₂⁴	1	4	yes	—
397	C₂²×#99	C₂×D₄	1	4	yes	—
398	#2879	C₂×D₄	1	8	yes	—
399	C₂×#408	C₂²×C₄	1	2	yes	—
400	C₂×#408	C₂²×C₄	1	2	yes	complemented
401	C₂×#408	C₂²×C₄	1	2	yes	complemented
402	C₂×#408	C₂⁴	1	2	yes	—
403	C₂²×#97	C₂²×C₄	1	2	yes	complemented
404	C₂²×C₄×C₈	C₂²×C₄	1	2	yes	complemented
405	#2126	C₂×D₄	1	8	yes	—
406	#2126	C₂×D₄	1	8	yes	—
407	C₂×#354	C₂×D₄	1	4	yes	—
408	C₂×#354	C₂×D₄	1	4	yes	—
409	C₂×#353	C₂×D₄	1	4	yes	—
410	C₂×#353	C₂×D₄	1	4	yes	—
411	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	8	yes	—
412	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	8	yes	—
413	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	8	yes	—
414	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	8	yes	—
415	C₂×H(5,𝔽₂)	#120	1	16	yes	—
416	C₂×H(5,𝔽₂)	#120	1	16	yes	—
417	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
418	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
419	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
420	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
421	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
422	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
423	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
424	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
425	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
426	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
427	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
428	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
429	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
430	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
431	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
432	C₂²×#41	C₄×D₄	1	1	yes	characteristic
433	C₂²×#41	C₄×D₄	1	1	yes	characteristic
434	C₂²×#41	C₄×D₄	1	4	yes	—
435	C₂²×#41	#120	1	8	yes	—
436	C₂²×#41	#120	1	8	yes	—
437	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
438	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
439	C₂²×#41	C₂³×C₄	1	2	yes	—
440	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
441	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
442	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
443	C₂²×#41	C₂²×D₄	1	2	yes	—
444	C₂²×#41	C₂²×D₄	1	2	yes	—
445	C₂²×#41	C₂²×D₄	1	4	yes	—
446	C₂²×#41	C₂²×D₄	1	2	yes	—
447	C₂²×#41	C₂²×D₄	1	2	yes	—
448	C₂²×#41	C₂²×D₄	1	2	yes	—
449	C₂²×#41	C₂²×D₄	1	4	yes	—
450	C₂²×#41	C₂²×D₄	1	2	yes	—
451	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
452	C₂²×#41	C₂×#41	1	1	yes	characteristic
453	C₂²×#41	C₂×#41	1	2	yes	—
454	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
455	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
456	C₂²×#41	C₂⁵	1	1	yes	characteristic
457	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
458	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
459	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
460	C₂³×Q₈	C₄×D₄	1	1	yes	characteristic
461	C₂³×Q₈	C₂³×C₄	1	1	yes	characteristic
462	C₂³×Q₈	C₂³×C₄	1	1	yes	characteristic
463	C₂³×Q₈	C₂²×D₄	1	2	yes	—
464	C₂³×Q₈	C₂×#41	1	1	yes	characteristic
465	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
466	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
467	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
468	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
469	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
470	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
471	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
472	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
473	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
474	C₂³×D₄	C₄×D₄	1	1	yes	characteristic
475	C₂³×D₄	#120	1	8	yes	—
476	C₂³×D₄	#120	1	8	yes	—
477	C₂³×D₄	C₂³×C₄	1	2	yes	—
478	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
479	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
480	C₂³×D₄	C₂³×C₄	1	2	yes	—
481	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
482	C₂³×D₄	C₂²×D₄	1	2	yes	—
483	C₂³×D₄	C₂²×D₄	1	4	yes	—
484	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
485	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
486	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
487	C₂×#137	C₂×C₂²⋊C₄	1	8	yes	—
488	C₂×AGL(1,ℤ/8)	#99	1	8	yes	—
489	C₂×AGL(1,ℤ/8)	#99	1	4	yes	—
490	C₂×AGL(1,ℤ/8)	#99	1	4	yes	—
491	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	8	yes	—
492	C₂²×Q₁₆	C₂×C₂²⋊C₄	1	2	yes	—
493	C₂²×Q₁₆	C₂×C₂²⋊C₄	1	2	yes	—
494	C₂²×Q₁₆	C₂×C₂²⋊C₄	1	4	yes	—
495	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	2	yes	—
496	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	2	yes	—
497	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
498	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
499	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
500	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
501	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
502	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	2	yes	—
503	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	2	yes	—
504	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	4	yes	—
505	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	—
506	C₂²×D₈	C₂×C₂²⋊C₄	1	4	yes	—
507	C₂²×D₈	C₂×C₂²⋊C₄	1	4	yes	—
508	C₂²×D₈	C₂×C₂²⋊C₄	1	4	yes	—
509	C₂²×D₈	C₂×C₂²⋊C₄	1	4	yes	—
510	C₂²×D₈	C₂×C₂²⋊C₄	1	4	yes	—
511	C₂²×D₈	C₂×C₂²⋊C₄	1	2	yes	—
512	C₂²×D₈	C₂×C₂²⋊C₄	1	2	yes	—
513	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	—
514	C₂²×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
515	C₂²×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
516	C₂²×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
517	C₂²×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
518	C₂²×M₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
519	C₂²×M₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
520	C₂²×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
521	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
522	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
523	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
524	C₂³×C₈	C₂×C₂²⋊C₄	1	4	yes	—
525	C₂³×C₈	C₂×C₂²⋊C₄	1	2	yes	—
526	C₂³×C₈	C₂³×C₄	1	2	yes	—
527	C₂³×C₈	C₂³×C₄	1	2	yes	—
528	C₂³×C₈	C₂²×D₄	1	4	yes	—
529	#536	C₂×C₂²⋊C₄	1	4	yes	—
530	#536	C₂²×D₄	1	4	yes	—
531	#535	C₂×C₂²⋊C₄	1	8	yes	—
532	#535	C₂×C₂²⋊C₄	1	4	yes	—
533	#535	C₂×C₂²⋊C₄	1	8	yes	—
534	#535	C₂×C₂²⋊C₄	1	8	yes	—
535	#535	C₂²×D₄	1	4	yes	—
536	#535	C₂²×D₄	1	4	yes	—
537	#535	C₂²×D₄	1	4	yes	—
538	#532	C₂×C₂²⋊C₄	1	4	yes	—
539	#532	C₂×C₂²⋊C₄	1	4	yes	—
540	#532	C₄×D₄	1	4	yes	—
541	#532	C₄×D₄	1	4	yes	—
542	#532	#120	1	4	yes	—
543	#532	#120	1	4	yes	—
544	#532	#121	1	4	yes	—
545	#532	#121	1	4	yes	—
546	#532	#121	1	4	yes	—
547	#532	#121	1	4	yes	—
548	#532	#123	1	4	yes	—
549	#532	#123	1	4	yes	—
550	#532	C₂²×D₄	1	2	yes	—
551	#532	C₂²×D₄	1	2	yes	—
552	#532	C₂²×D₄	1	2	yes	—
553	#532	C₂²×D₄	1	2	yes	—
554	#532	C₂²×D₄	1	2	yes	—
555	#532	C₂²×D₄	1	2	yes	—
556	#532	C₂×#41	1	2	yes	—
557	#532	C₂×#41	1	2	yes	—
558	C₂×C₄⋊Q₈	C₄×D₄	1	1	yes	characteristic
559	C₂×C₄⋊Q₈	C₄×D₄	1	1	yes	characteristic
560	C₂×C₄⋊Q₈	#121	1	4	yes	—
561	C₂×C₄⋊Q₈	#123	1	4	yes	—
562	C₂×C₄⋊Q₈	C₂×#41	1	1	yes	characteristic
563	C₂×C₄⋊Q₈	C₂×#41	1	1	yes	characteristic
564	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
565	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
566	C₂×#127	C₄×D₄	1	1	yes	characteristic
567	C₂×#127	C₄×D₄	1	1	yes	characteristic
568	C₂×#127	#120	1	4	yes	—
569	C₂×#127	#121	1	4	yes	—
570	C₂×#127	C₂²×D₄	1	1	yes	characteristic
571	C₂×#127	C₂²×D₄	1	1	yes	characteristic
572	C₂×#124	C₄×D₄	1	1	yes	characteristic
573	C₂×#124	C₄×D₄	1	1	yes	characteristic
574	C₂×#124	C₄×D₄	1	1	yes	characteristic
575	C₂×#124	C₄×D₄	1	1	yes	characteristic
576	C₂×#124	#120	1	4	yes	—
577	C₂×#124	#121	1	4	yes	—
578	C₂×#124	#121	1	4	yes	—
579	C₂×#124	#123	1	4	yes	—
580	C₂×#124	C₂²×D₄	1	1	yes	characteristic
581	C₂×#124	C₂²×D₄	1	1	yes	characteristic
582	C₂×#124	C₂×#41	1	1	yes	characteristic
583	C₂×#124	C₂×#41	1	1	yes	characteristic
584	C₄×#41	C₂×C₂²⋊C₄	1	8	yes	—
585	C₄×#41	C₂×C₂²⋊C₄	1	8	yes	—
586	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
587	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
588	C₂×#117	C₂³×C₄	1	1	yes	characteristic
589	C₂×#117	C₂³×C₄	1	1	yes	characteristic
590	C₂×#117	C₂³×C₄	1	2	yes	—
591	C₂²×C₄²	C₂×C₂²⋊C₄	1	4	yes	—
592	C₂²×C₄²	C₄×D₄	1	1	yes	characteristic
593	C₂²×C₄²	C₄×D₄	1	1	yes	characteristic
594	C₂²×C₄²	C₄×D₄	1	1	yes	characteristic
595	C₂²×C₄²	C₄×D₄	1	1	yes	characteristic
596	C₂²×C₄²	C₄×D₄	1	4	yes	—
597	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
598	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
599	#418	C₂×C₂²⋊C₄	1	8	yes	—
600	#418	C₂×C₂²⋊C₄	1	8	yes	—
601	#416	C₂×C₂²⋊C₄	1	8	yes	—
602	#416	C₂×C₂²⋊C₄	1	8	yes	—
603	#410	C₂²×D₄	1	8	yes	—
604	C₂×#99	C₂²×D₄	1	8	yes	—
605	#408	C₂×C₂²⋊C₄	1	8	yes	—
606	#408	C₂²×D₄	1	8	yes	—
607	C₂⁵	#518	1	1	yes	characteristic
608	C₂⁵	D₄²	1	2	yes	—
609	C₂×#41	#379	1	8	yes	—
610	C₂×#41	#379	1	16	yes	—
611	C₂×#41	#386	1	4	yes	—
612	C₂×#41	#386	1	4	yes	—
613	C₂×#41	C₂×#99	1	2	yes	—
614	C₂×#41	C₂×#99	1	4	yes	—
615	C₂×#41	C₂×#99	1	2	yes	—
616	C₂×#41	C₂²×C₂²⋊C₄	1	4	yes	—
617	C₂×#41	C₂²×C₂²⋊C₄	1	4	yes	—
618	C₂×#41	C₂²×C₂²⋊C₄	1	2	yes	—
619	C₂×#41	C₂²×C₂²⋊C₄	1	2	yes	—
620	C₂×#41	C₂²×C₂²⋊C₄	1	2	yes	—
621	C₂×#41	C₂²×C₂²⋊C₄	1	2	yes	—
622	C₂×#41	C₂×C₄×D₄	1	2	yes	—
623	C₂×#41	C₂×C₄×D₄	1	2	yes	—
624	C₂×#41	C₂×C₄×D₄	1	2	yes	—
625	C₂×#41	#518	1	2	yes	—
626	C₂×#41	C₂×#120	1	8	yes	—
627	C₂×#41	C₂×#120	1	8	yes	—
628	C₂×#41	C₂×#120	1	2	yes	—
629	C₂×#41	C₂×#120	1	4	yes	—
630	C₂×#41	C₂×#120	1	4	yes	—
631	C₂×#41	C₂×#121	1	2	yes	—
632	C₂×#41	C₂×#121	1	2	yes	—
633	C₂×#41	C₂×#123	1	2	yes	—
634	C₂×#41	#534	1	4	yes	—
635	C₂×#41	#534	1	4	yes	—
636	C₂×#41	D₄²	1	4	yes	—
637	C₂×#41	D₄²	1	4	yes	—
638	C₂×#41	D₄²	1	4	yes	—
639	C₂×#41	#546	1	4	yes	—
640	C₂×#41	#546	1	4	yes	—
641	C₂×#41	#546	1	4	yes	—
642	C₂×#41	C₂³×D₄	1	1	yes	characteristic
643	C₂×#41	C₂³×D₄	1	1	yes	characteristic
644	C₂×#41	C₂³×D₄	1	2	yes	—
645	C₂×#41	C₂³×D₄	1	1	yes	characteristic
646	C₂×#41	C₂²×#41	1	1	yes	characteristic
647	C₂×#41	C₂×H(5,𝔽₂)	1	2	yes	—
648	C₂²×Q₈	#379	1	4	yes	—
649	C₂²×Q₈	#386	1	4	yes	—
650	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
651	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
652	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
653	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
654	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
655	C₂²×Q₈	C₂×C₄×D₄	1	1	yes	characteristic
656	C₂²×Q₈	C₂×C₄×D₄	1	1	yes	characteristic
657	C₂²×Q₈	C₂×C₄×D₄	1	1	yes	characteristic
658	C₂²×Q₈	C₂×#121	1	2	yes	—
659	C₂²×Q₈	C₂×#123	1	2	yes	—
660	C₂²×Q₈	#546	1	2	yes	—
661	C₂²×Q₈	#546	1	4	yes	—
662	C₂²×Q₈	C₂²×#41	1	1	yes	characteristic
663	C₂²×D₄	#379	1	8	yes	—
664	C₂²×D₄	#379	1	16	yes	—
665	C₂²×D₄	#379	1	4	yes	—
666	C₂²×D₄	#379	1	8	yes	—
667	C₂²×D₄	#386	1	4	yes	—
668	C₂²×D₄	C₂×#99	1	2	yes	—
669	C₂²×D₄	C₂×#99	1	2	yes	—
670	C₂²×D₄	C₂×#99	1	4	yes	—
671	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
672	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
673	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
674	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
675	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
676	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
677	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
678	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
679	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
680	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
681	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
682	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
683	C₂²×D₄	#518	1	2	yes	—
684	C₂²×D₄	C₂×#120	1	8	yes	—
685	C₂²×D₄	C₂×#120	1	8	yes	—
686	C₂²×D₄	C₂×#120	1	2	yes	—
687	C₂²×D₄	C₂×#121	1	2	yes	—
688	C₂²×D₄	#534	1	4	yes	—
689	C₂²×D₄	#534	1	4	yes	—
690	C₂²×D₄	D₄²	1	4	yes	—
691	C₂²×D₄	D₄²	1	2	yes	—
692	C₂²×D₄	D₄²	1	2	yes	—
693	C₂²×D₄	D₄²	1	4	yes	—
694	C₂²×D₄	#546	1	4	yes	—
695	C₂²×D₄	#546	1	2	yes	—
696	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
697	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
698	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
699	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
700	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
701	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
702	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
703	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
704	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
705	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
706	C₂³×C₄	#518	1	1	yes	characteristic
707	C₂³×C₄	#518	1	2	yes	—
708	C₂³×C₄	C₂×#120	1	4	yes	—
709	C₂³×C₄	C₂×#120	1	4	yes	—
710	C₂³×C₄	D₄²	1	2	yes	—
711	C₂³×C₄	D₄²	1	4	yes	—
712	C₂³×C₄	#546	1	4	yes	—
713	C₂³×C₄	#546	1	2	yes	—
714	C₂³×C₄	#546	1	2	yes	—
715	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
716	C₂³×C₄	C₂³×D₄	1	2	yes	—
717	C₂×SD₁₆	C₂×#99	1	8	yes	—
718	C₂×SD₁₆	C₂×#99	1	8	yes	—
719	C₂×D₈	C₂×#99	1	8	yes	—
720	C₂×D₈	C₂×#99	1	8	yes	—
721	C₂×M₁₆	C₂×#99	1	2	yes	—
722	C₂×M₁₆	C₂×#99	1	2	yes	—
723	C₂×M₁₆	C₂×#99	1	4	yes	—
724	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
725	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
726	C₂²×C₈	C₂²×C₂²⋊C₄	1	2	yes	—
727	C₂²×C₈	C₂²×C₂²⋊C₄	1	2	yes	—
728	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
729	C₄⋊Q₈	#386	1	4	yes	—
730	C₄⋊Q₈	#386	1	4	yes	—
731	C₄⋊Q₈	C₂×#121	1	2	yes	—
732	C₄⋊Q₈	C₂×#121	1	2	yes	—
733	C₄⋊Q₈	C₂×#123	1	2	yes	—
734	C₄⋊Q₈	C₂×#123	1	2	yes	—
735	#127	#386	1	4	yes	—
736	#127	#386	1	4	yes	—
737	#127	C₂×#120	1	2	yes	—
738	#127	C₂×#120	1	2	yes	—
739	#127	C₂×#121	1	2	yes	—
740	#127	C₂×#121	1	2	yes	—
741	#124	#386	1	4	yes	—
742	#124	#386	1	4	yes	—
743	#124	#386	1	4	yes	—
744	#124	#386	1	4	yes	—
745	#124	C₂×#120	1	2	yes	—
746	#124	C₂×#120	1	2	yes	—
747	#124	C₂×#121	1	2	yes	—
748	#124	C₂×#121	1	2	yes	—
749	#124	C₂×#121	1	2	yes	—
750	#124	C₂×#121	1	2	yes	—
751	#124	C₂×#123	1	2	yes	—
752	#124	C₂×#123	1	2	yes	—
753	#117	C₂²×C₂²⋊C₄	1	2	yes	—
754	#117	C₂²×C₂²⋊C₄	1	2	yes	—
755	#117	C₂²×C₂²⋊C₄	1	4	yes	—
756	C₂×C₄²	#386	1	4	yes	—
757	C₂×C₄²	#386	1	4	yes	—
758	C₂×C₄²	#386	1	4	yes	—
759	C₂×C₄²	#386	1	4	yes	—
760	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
761	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
762	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
763	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
764	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
765	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
766	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
767	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
768	C₂⁴	#2308	1	2	yes	—
769	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
770	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
771	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
772	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
773	C₂⁴	#2403	1	4	yes	—
774	C₂⁴	#2410	1	4	yes	—
775	C₂⁴	C₂×#518	1	1	yes	characteristic
776	C₂⁴	C₂×D₄²	1	2	yes	—
777	C₂×Q₈	C₂×#379	1	4	yes	—
778	C₂×Q₈	C₂×#386	1	2	yes	—
779	C₂×Q₈	C₂×#386	1	2	yes	—
780	C₂×Q₈	C₂×#386	1	2	yes	—
781	C₂×Q₈	D₄×C₂²⋊C₄	1	2	yes	—
782	C₂×Q₈	#2405	1	4	yes	—
783	C₂×Q₈	#2410	1	4	yes	—
784	C₂×Q₈	C₂²×#99	1	2	yes	—
785	C₂×Q₈	C₂²×#99	1	2	yes	—
786	C₂×Q₈	C₂²×#121	1	1	yes	characteristic
787	C₂×Q₈	C₂²×#123	1	1	yes	characteristic
788	C₂×Q₈	C₂×#546	1	2	yes	—
789	C₂×D₄	#1781	1	8	yes	—
790	C₂×D₄	#1781	1	8	yes	—
791	C₂×D₄	C₂×#379	1	8	yes	—
792	C₂×D₄	C₂×#379	1	4	yes	—
793	C₂×D₄	C₂×#386	1	2	yes	—
794	C₂×D₄	C₂×#386	1	2	yes	—
795	C₂×D₄	C₂×#386	1	2	yes	—
796	C₂×D₄	#2308	1	4	yes	—
797	C₂×D₄	D₄×C₂²⋊C₄	1	4	yes	—
798	C₂×D₄	D₄×C₂²⋊C₄	1	2	yes	—
799	C₂×D₄	#2403	1	4	yes	—
800	C₂×D₄	#2403	1	4	yes	—
801	C₂×D₄	#2405	1	4	yes	—
802	C₂×D₄	#2410	1	4	yes	—
803	C₂×D₄	#2410	1	4	yes	—
804	C₂×D₄	#2410	1	4	yes	—
805	C₂×D₄	C₂²×#99	1	2	yes	—
806	C₂×D₄	C₂²×#99	1	2	yes	—
807	C₂×D₄	C₂²×#99	1	4	yes	—
808	C₂×D₄	C₂²×#99	1	4	yes	—
809	C₂×D₄	C₂²×#120	1	1	yes	characteristic
810	C₂×D₄	C₂²×#121	1	1	yes	characteristic
811	C₂×D₄	C₂×#534	1	2	yes	—
812	C₂×D₄	C₂×#534	1	2	yes	—
813	C₂×D₄	C₂×D₄²	1	2	yes	—
814	C₂×D₄	C₂×D₄²	1	2	yes	—
815	C₂×D₄	C₂×#546	1	2	yes	—
816	C₂²×C₄	C₂×#379	1	4	yes	—
817	C₂²×C₄	C₂×#379	1	2	yes	—
818	C₂²×C₄	C₂×#379	1	2	yes	—
819	C₂²×C₄	C₂×#386	1	2	yes	—
820	C₂²×C₄	C₂×#386	1	2	yes	—
821	C₂²×C₄	#2308	1	2	yes	—
822	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
823	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
824	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
825	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
826	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
827	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
828	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
829	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
830	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
831	C₂²×C₄	#2403	1	4	yes	—
832	C₂²×C₄	#2405	1	4	yes	—
833	C₂²×C₄	#2405	1	4	yes	—
834	C₂²×C₄	#2410	1	4	yes	—
835	C₂²×C₄	#2410	1	4	yes	—
836	C₂²×C₄	#2410	1	4	yes	—
837	C₂²×C₄	C₂²×#99	1	2	yes	—
838	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
839	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
840	C₂²×C₄	#2883	1	2	yes	—
841	C₂²×C₄	#2883	1	1	yes	characteristic
842	C₂²×C₄	#2883	1	1	yes	characteristic
843	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
844	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
845	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
846	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
847	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
848	C₂²×C₄	C₂×#518	1	1	yes	characteristic
849	C₂²×C₄	C₂²×#120	1	2	yes	—
850	C₂²×C₄	C₂²×#120	1	2	yes	—
851	C₂²×C₄	C₂×D₄²	1	2	yes	—
852	C₂²×C₄	C₂×#546	1	2	yes	—
853	C₂²×C₄	C₂×#546	1	2	yes	—
854	C₂×C₈	C₂²×#99	1	4	yes	—
855	C₂×C₈	C₂²×#99	1	4	yes	—
856	C₄²	C₂×#386	1	2	yes	—
857	C₄²	C₂×#386	1	2	yes	—
858	C₄²	C₂×#386	1	2	yes	—
859	C₄²	C₂×#386	1	2	yes	—
860	C₂³	#13867	1	4	yes	—
861	C₂³	#13867	1	2	yes	—
862	C₂³	#13867	1	2	yes	—
863	C₂³	D₄×#99	1	1	yes	characteristic
864	C₂³	D₄×#99	1	1	yes	characteristic
865	C₂³	D₄×#99	1	2	yes	—
866	C₂³	C₂×#2308	1	1	yes	characteristic
867	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
868	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
869	C₂³	C₂×#2403	1	2	yes	—
870	C₂³	C₂×#2410	1	2	yes	—
871	D₄	C₂×#1781	1	8	yes	—
872	C₂×C₄	#13867	1	2	yes	—
873	C₂×C₄	#13867	1	4	yes	—
874	C₂×C₄	#13867	1	2	yes	—
875	C₂×C₄	C₂×#1781	1	2	yes	—
876	C₂×C₄	C₂×#1781	1	2	yes	—
877	C₂×C₄	#20585	1	2	yes	—
878	C₂×C₄	#20585	1	2	yes	—
879	C₂×C₄	D₄×#99	1	2	yes	—
880	C₂×C₄	D₄×#99	1	1	yes	characteristic
881	C₂×C₄	D₄×#99	1	1	yes	characteristic
882	C₂×C₄	D₄×#99	1	2	yes	—
883	C₂×C₄	D₄×#99	1	2	yes	—
884	C₂×C₄	D₄×#99	1	2	yes	—
885	C₂×C₄	D₄×#99	1	2	yes	—
886	C₂×C₄	C₂²×#379	1	1	yes	characteristic
887	C₂×C₄	C₂²×#386	1	1	yes	characteristic
888	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
889	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
890	C₂×C₄	C₂×#2410	1	2	yes	—
891	C₂×C₄	C₂×#2405	1	2	yes	—
892	C₂×C₄	C₂³×#99	1	1	yes	characteristic
893	C₂×C₄	C₂³×#99	1	1	yes	characteristic
894	C₂×C₄	C₂×#2883	1	1	yes	characteristic
895	C₂×C₄	C₂×#2883	1	1	yes	characteristic
896	C₂²	#359579	1	2	yes	—
897	C₂²	#359579	1	2	yes	—
898	C₂²	C₂×#13867	1	1	yes	characteristic
899	C₂²	C₂×D₄×#99	1	1	yes	characteristic
900	C₂²	C₂×D₄×#99	1	1	yes	characteristic
901	C₄	#359579	1	2	yes	—
902	C₄	#359579	1	2	yes	—
903	C₄	C₂²×#1781	1	1	yes	characteristic
904	C₄	C₂×#20585	1	1	yes	characteristic
905	C₄	C₂×D₄×#99	1	1	yes	characteristic
906	C₄	C₂×D₄×#99	1	1	yes	characteristic
907	C₂	C₂×#359579	1	1	yes	characteristic
908	C₂	#72237550	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	C₂×D₄×#99
commutator	C₂³×C₄	C₂⁴×C₄
Frattini, cosocle	C₂²×#41	C₂⁵
prime radical	C₂×#10576116	C₂
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂²×#3585 ◁ G
LECS	G ▷ C₂²×#41 ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72337511	C₂	semidirect
2. #72337510	C₂	semidirect
3. #72337497	C₂	semidirect
4. C₂²×#12718	C₂	semidirect
5. #72337468	C₂	semidirect
6. #72337457	C₂	semidirect
7. #72337443	C₂	semidirect
8. #72337427	C₂	semidirect
9. #72312834	C₂	semidirect
10. C₂×#493419	C₂	semidirect
11. #72302959	C₂	semidirect
12. C₂×#494758	C₂	semidirect
14. #72255817	C₂	semidirect
15. C₂²×#33359	C₂	semidirect
16. C₂²×#3585	C₄	semidirect
20. C₂×#61082	C₄	semidirect
21. C₂×#61082	C₄	semidirect
24. C₂×#61087	C₄	semidirect
26. C₂×#61089	C₄	semidirect
28. C₂²×#3151	C₄	semidirect
29. C₂×#60415	C₄	semidirect
30. C₂²×#3038	C₄	semidirect
31. C₂×#60454	C₄	semidirect
33. C₂×#60369	C₄	semidirect
35. C₂×#60367	C₄	semidirect
38. C₂×C₄×#575	C₄	semidirect
39. C₂²×#2883	C₂²	semidirect
41. C₂×#33359	C₂²	semidirect
42. C₂×#33359	C₂²	semidirect
43. C₂×#33358	C₂²	semidirect
44. C₂²×#2128	C₂²	semidirect
48. C₂×#33347	C₂²	semidirect
49. C₂²×#2122	C₂²	semidirect
50. C₂×#20623	C₂²	semidirect
51. C₂²×#1795	C₂²	semidirect
52. #6370692	C₂²	semidirect
53. C₂×#13102	C₂²	semidirect
54. C₂×#13100	C₂²	semidirect
55. #493435	C₂²	semidirect
56. #493434	C₂²	semidirect
57. #493432	C₂²	semidirect
58. #493431	C₂²	semidirect
59. C₂×#12718	C₂²	semidirect
60. C₂×#12718	C₂²	semidirect
61. C₂×#12718	C₂²	semidirect
62. C₂×#12716	C₂²	semidirect
63. C₂×#12717	C₂²	semidirect
64. C₂×#12715	C₂²	semidirect
65. C₂×#12589	C₂²	semidirect
66. C₂×#12577	C₂²	semidirect
67. #359611	C₂²	semidirect
68. #359609	C₂²	semidirect
69. #353340	C₂²	semidirect
70. #353326	C₂²	semidirect
71. #147726	C₂²	semidirect
72. #147725	C₂²	semidirect
73. #147586	C₂²	semidirect
74. #147585	C₂²	semidirect
75. #146725	C₂²	semidirect
76. #146724	C₂²	semidirect
77. #146713	C₂²	semidirect
78. #146712	C₂²	semidirect
79. C₂²×#585	C₂×C₄	semidirect
84. C₂²×#577	C₂×C₄	semidirect
85. C₂²×#577	C₂×C₄	semidirect
89. C₂²×#576	C₂×C₄	semidirect
90. C₂²×#576	C₂×C₄	semidirect
101. C₂³×AGL(1,ℤ/8)	C₂×C₄	semidirect
102. C₂³×AGL(1,ℤ/8)	C₂×C₄	semidirect
103. C₂³×AGL(1,ℤ/8)	C₂×C₄	semidirect
106. C₂²×#568	C₂×C₄	semidirect
108. C₂×#3500	C₂×C₄	semidirect
109. C₂×#3500	C₂×C₄	semidirect
112. C₂×#3499	C₂×C₄	semidirect
116. C₂×#3498	C₂×C₄	semidirect
122. C₂×#3449	C₂×C₄	semidirect
126. C₂²×#532	C₂×C₄	semidirect
130. C₂²×C₄×#41	C₂×C₄	semidirect
131. C₂²×#496	C₂×C₄	semidirect
132. C₂²×#496	C₂×C₄	semidirect
133. C₂²×#493	C₂×C₄	semidirect
134. C₂²×#492	C₂×C₄	semidirect
135. C₂×#3058	C₂×C₄	semidirect
136. C₂×#3058	C₂×C₄	semidirect
137. C₂×#3058	C₂×C₄	semidirect
139. C₂×#3057	C₂×C₄	semidirect
140. C₂×#3057	C₂×C₄	semidirect
141. C₂×#3057	C₂×C₄	semidirect
143. C₂×#3040	C₂×C₄	semidirect
144. C₂×#3040	C₂×C₄	semidirect
145. C₂×#3039	C₂×C₄	semidirect
146. C₂×#3038	C₂×C₄	semidirect
147. C₂×#3038	C₂×C₄	semidirect
148. C₂×#3038	C₂×C₄	semidirect
149. C₂×#3038	C₂×C₄	semidirect
150. C₂×#3038	C₂×C₄	semidirect
152. C₂×#3010	C₂×C₄	semidirect
153. C₂×#3010	C₂×C₄	semidirect
154. C₂×#3010	C₂×C₄	semidirect
157. C₂×#3009	C₂×C₄	semidirect
158. C₂×#3009	C₂×C₄	semidirect
161. C₂×#3008	C₂×C₄	semidirect
162. C₂×#3008	C₂×C₄	semidirect
163. C₂×#3008	C₂×C₄	semidirect
164. C₂×#3008	C₂×C₄	semidirect
165. C₂×#3008	C₂×C₄	semidirect
168. C₂×#2943	C₂×C₄	semidirect
169. C₂×#2943	C₂×C₄	semidirect
170. C₂×C₄×#135	C₂×C₄	semidirect
171. C₂×C₄×#135	C₂×C₄	semidirect
172. C₂×#2932	C₂×C₄	semidirect
174. C₂×#2931	C₂×C₄	semidirect
176. C₂×#2911	C₂×C₄	semidirect
177. C₂²×#423	C₂×C₄	semidirect
179. C₂×#2896	C₂×C₄	semidirect
180. C₂×#2896	C₂×C₄	semidirect
181. C₂×#2896	C₂×C₄	semidirect
183. C₂²×#418	C₂×C₄	semidirect
189. C₂×#2879	C₂×C₄	semidirect
191. C₂²×C₄×M₁₆	C₂×C₄	semidirect
194. C₂×#2129	C₂³	semidirect
196. C₂×#2128	C₂³	semidirect
208. C₂×#2123	C₂³	semidirect
210. C₂×#2122	C₂³	semidirect
211. C₂×#1796	C₂³	semidirect
213. C₂×#1795	C₂³	semidirect
214. #20587	C₂³	semidirect
215. #20586	C₂³	semidirect
216. C₂×#1395	C₂³	semidirect
217. C₂×#1391	C₂³	semidirect
218. #10764	C₂³	semidirect
219. #10759	C₂³	semidirect
221. C₂²×2₋¹⁺⁴	C₂²×C₄	semidirect
222. C₂²×2₋¹⁺⁴	C₂²×C₄	semidirect
225. C₂²×H(5,𝔽₂)	C₂²⋊C₄	semidirect
230. C₂²×H(5,𝔽₂)	C₂²×C₄	semidirect
231. C₂²×H(5,𝔽₂)	C₂²×C₄	semidirect
251. C₂×#575	C₂²⋊C₄	semidirect
272. C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	semidirect
277. C₂²×AGL(1,ℤ/8)	C₂²×C₄	semidirect
278. C₂²×AGL(1,ℤ/8)	C₂²×C₄	semidirect
293. C₂³×SD₁₆	C₂²×C₄	semidirect
294. C₂³×SD₁₆	C₂²×C₄	semidirect
300. C₂³×D₈	C₂²×C₄	semidirect
301. C₂³×D₈	C₂²×C₄	semidirect
304. C₂²×#131	C₂²×C₄	semidirect
305. C₂²×#131	C₂²×C₄	semidirect
314. #3498	C₂²⋊C₄	semidirect
315. #3498	C₂²⋊C₄	semidirect
322. C₂×#536	C₂²×C₄	semidirect
323. C₂×#536	C₂²×C₄	semidirect
325. C₂×#535	C₂²⋊C₄	semidirect
330. C₂×#535	C₂²×C₄	semidirect
331. C₂×#535	C₂²×C₄	semidirect
348. C₂²×C₄⋊Q₈	C₂²×C₄	semidirect
350. C₂²×#127	C₂²⋊C₄	semidirect
353. C₂²×#127	C₂²×C₄	semidirect
355. C₂²×#124	C₂²×C₄	semidirect
356. C₂²×#124	C₂²×C₄	semidirect
359. C₂×C₄×#41	C₂²⋊C₄	semidirect
362. C₂×C₄×#41	C₂²×C₄	semidirect
363. C₂×C₄×#41	C₂²×C₄	semidirect
364. C₂×C₄×#41	C₂²×C₄	semidirect
365. C₂×C₄×#41	C₂²×C₄	semidirect
369. #3009	C₂²⋊C₄	semidirect
371. #3008	C₂²⋊C₄	semidirect
373. C₂×#427	C₂²×C₄	semidirect
374. C₂×#427	C₂²×C₄	semidirect
375. C₂×#423	C₂²×C₄	semidirect
376. C₂×#423	C₂²×C₄	semidirect
377. #2896	C₂²⋊C₄	semidirect
378. C₂×#419	C₂²×C₄	semidirect
379. C₂×#419	C₂²×C₄	semidirect
380. C₂×#418	C₂²⋊C₄	semidirect
383. C₂×#418	C₂²×C₄	semidirect
384. C₂×#418	C₂²×C₄	semidirect
385. C₂×#418	C₂²×C₄	semidirect
386. C₂×#418	C₂²×C₄	semidirect
389. C₂×#416	C₂²×C₄	semidirect
390. C₂×#416	C₂²×C₄	semidirect
400. C₂×#408	C₂²×C₄	semidirect
401. C₂×#408	C₂²×C₄	semidirect
403. C₂²×#97	C₂²×C₄	semidirect
404. C₂²×C₄×C₈	C₂²×C₄	semidirect

Maximal subgroups

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

subgroup	index
#72337511	2
#72337510	2
#72337497	2
C₂²×#12718	2
#72337468	2
#72337457	2
#72337443	2
#72337427	2
#72312834	2
C₂×#493419	2
#72302959	2
C₂×#494758	2
C₂×#10576116	2
#72255817	2
C₂²×#33359	2