Subgroups — #7699549

Order 512.

11378 conjugacy classes of subgroups.

The subgroup lattice has 1281 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3481	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
3	#59802	C₂	1	4	yes	maximal, complemented
4	#59420	C₂	1	1	yes	maximal, characteristic, complemented
5	#59408	C₂	1	4	yes	maximal, complemented
6	#59143	C₂	1	1	yes	maximal, characteristic, complemented
7	#59089	C₂	1	4	yes	maximal, complemented
8	#59041	C₂	1	1	yes	maximal, characteristic, complemented
9	#59030	C₂	1	4	yes	maximal, complemented
10	#59013	C₂	1	4	yes	maximal, complemented
11	#59006	C₂	1	4	yes	maximal, complemented
12	#36289	C₂	1	2	yes	maximal, complemented
13	#36258	C₂	1	2	yes	maximal, complemented
14	#36236	C₂	1	4	yes	maximal, complemented
15	#36214	C₂	1	4	yes	maximal, complemented
16	#36154	C₂	1	2	yes	maximal, complemented
17	#36152	C₂	1	4	yes	maximal, complemented
18	#36121	C₂	1	1	yes	maximal, characteristic, complemented
19	#36107	C₂	1	4	yes	maximal, complemented
20	#36098	C₂	1	4	yes	maximal, complemented
21	C₄×#546	C₂	1	2	yes	maximal, complemented
22	C₄×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×D₄×C₂²⋊C₄	C₂	1	4	yes	maximal, complemented
24	C₂⁴×D₄	C₂²	1	4	yes	—
25	#3481	—	2	16	no	—
26	C₂×#559	C₂²	1	1	yes	characteristic, complemented
27	C₂×#554	C₂²	1	2	yes	complemented
28	C₂×#553	C₂²	1	4	yes	complemented
29	C₂×#551	C₂²	1	4	yes	complemented
30	C₂×#546	C₂²	1	2	yes	—
31	C₂×#546	C₂²	1	2	yes	complemented
32	C₂×#546	C₂²	1	4	yes	complemented
33	C₂×#546	C₂²	1	4	yes	complemented
34	C₂×D₄²	—	2	16	no	—
35	C₂×D₄²	C₂²	1	4	yes	—
36	C₂×D₄²	C₂²	1	1	yes	characteristic
37	C₂×D₄²	C₂²	1	4	yes	—
38	C₂×D₄²	C₂²	1	4	yes	—
39	C₂×D₄²	C₂²	1	2	yes	—
40	C₂×D₄²	C₂²	1	1	yes	characteristic
41	C₂×#532	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#127	C₂²	1	1	yes	characteristic
43	C₂×#529	C₂²	1	4	yes	complemented
44	C₂×#525	C₂²	1	4	yes	complemented
45	C₂²×#121	C₂²	1	4	yes	—
46	C₂²×#120	C₂²	1	4	yes	—
47	C₂×C₄×#41	C₂²	1	2	yes	complemented
48	C₂²×C₄×D₄	C₂²	1	2	yes	—
49	C₂²×C₄×D₄	C₂²	1	4	yes	complemented
50	C₂²×C₄×D₄	C₂²	1	4	yes	complemented
51	C₂³×C₂²⋊C₄	C₂²	1	4	yes	complemented
52	#2858	C₂²	1	1	yes	characteristic, complemented
53	#2857	C₂²	1	1	yes	characteristic, complemented
54	#2856	C₂²	1	1	yes	characteristic, complemented
55	#2854	C₂²	1	4	yes	complemented
56	#2850	C₂²	1	4	yes	complemented
57	#2849	C₂²	1	4	yes	complemented
58	#2848	C₂²	1	4	yes	complemented
59	#2847	C₂²	1	4	yes	complemented
60	#2846	C₂²	1	4	yes	complemented
61	#2709	C₂²	1	4	yes	complemented
62	#2703	C₂²	1	8	yes	complemented
63	#2697	C₂²	1	4	yes	complemented
64	#2691	C₂²	1	8	yes	complemented
65	#2685	C₂²	1	8	yes	complemented
66	#2684	C₂²	1	4	yes	complemented
67	#2563	C₂²	1	2	yes	complemented
68	#2559	C₂²	1	8	yes	complemented
69	#2548	C₂²	1	2	yes	complemented
70	#2544	C₂²	1	4	yes	complemented
71	#2544	C₂²	1	2	yes	complemented
72	#2543	C₂²	1	8	yes	complemented
73	#2539	C₂²	1	4	yes	complemented
74	#2538	C₂²	1	2	yes	complemented
75	#2535	C₂²	1	4	yes	complemented
76	#2534	C₂²	1	4	yes	complemented
77	#2534	C₂²	1	8	yes	complemented
78	#2504	C₂²	1	4	yes	complemented
79	#2490	C₂²	1	4	yes	complemented
80	#2490	C₂²	1	4	yes	complemented
81	#2487	C₂²	1	4	yes	complemented
82	#2480	C₂²	1	8	yes	complemented
83	#2476	C₂²	1	8	yes	complemented
84	#2472	C₂²	1	8	yes	complemented
85	#2472	C₂²	1	8	yes	complemented
86	#2454	C₂²	1	4	yes	complemented
87	#2450	C₂²	1	8	yes	complemented
88	#2445	C₂²	1	4	yes	complemented
89	#2445	C₂²	1	4	yes	complemented
90	#2444	C₂²	1	8	yes	complemented
91	#2444	C₂²	1	8	yes	complemented
92	#2442	C₂²	1	4	yes	complemented
93	#2437	C₂²	1	8	yes	complemented
94	#2435	C₂²	1	4	yes	complemented
95	#2435	C₂²	1	2	yes	complemented
96	#2435	C₂²	1	4	yes	complemented
97	#2435	C₂²	1	4	yes	complemented
98	#2431	C₂²	1	2	yes	complemented
99	#2428	C₂²	1	4	yes	complemented
100	#2427	C₂²	1	4	yes	complemented
101	#2426	C₂²	1	4	yes	complemented
102	#2425	C₂²	1	8	yes	complemented
103	#2424	C₂²	1	8	yes	complemented
104	#2424	C₂²	1	8	yes	complemented
105	#2420	C₂²	1	4	yes	complemented
106	#2420	C₂²	1	4	yes	complemented
107	#2418	C₂²	1	8	yes	complemented
108	#2418	C₂²	1	8	yes	complemented
109	#2417	C₂²	1	4	yes	complemented
110	#2416	C₂²	1	4	yes	complemented
111	#2414	C₂²	1	4	yes	complemented
112	#2412	C₂²	1	4	yes	complemented
113	#2412	C₂²	1	8	yes	complemented
114	#2411	C₂²	1	4	yes	complemented
115	#2411	C₂²	1	8	yes	complemented
116	#2410	C₂²	1	8	yes	complemented
117	#2410	C₂²	1	8	yes	complemented
118	#2410	C₂²	1	8	yes	complemented
119	#2408	C₂²	1	4	yes	complemented
120	#2408	C₂²	1	4	yes	complemented
121	#2408	C₂²	1	4	yes	complemented
122	#2405	C₂²	1	4	yes	complemented
123	#2405	C₂²	1	8	yes	complemented
124	#2405	C₂²	1	8	yes	complemented
125	#2405	C₂²	1	8	yes	complemented
126	#2404	C₂²	1	4	yes	complemented
127	#2367	C₂²	1	2	yes	complemented
128	#2366	C₂²	1	1	yes	characteristic, complemented
129	#2364	C₂²	1	4	yes	complemented
130	#2363	C₂²	1	2	yes	complemented
131	#2361	C₂²	1	4	yes	complemented
132	#2360	C₂²	1	2	yes	complemented
133	#2359	C₂²	1	4	yes	complemented
134	#2358	C₂²	1	4	yes	complemented
135	#2358	C₂²	1	4	yes	complemented
136	#2352	C₂²	1	2	yes	complemented
137	#2349	C₂²	1	4	yes	complemented
138	#2349	C₂²	1	2	yes	complemented
139	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
140	#2342	C₂²	1	4	yes	complemented
141	#2342	C₂²	1	4	yes	complemented
142	#2339	C₂²	1	2	yes	complemented
143	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
144	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
145	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
146	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
147	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
148	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
149	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
150	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
151	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
152	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
153	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
154	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
155	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
156	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
157	C₄×#127	C₂²	1	1	yes	characteristic, complemented
158	C₄×#124	C₂²	1	2	yes	complemented
159	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
160	C₄×#123	C₂²	1	4	yes	complemented
161	C₄×#121	C₂²	1	4	yes	complemented
162	C₄×#121	C₂²	1	2	yes	complemented
163	C₄×#121	C₂²	1	4	yes	complemented
164	C₄×#120	C₂²	1	4	yes	complemented
165	C₄×#120	C₂²	1	4	yes	complemented
166	C₂×#390	C₂²	1	4	yes	complemented
167	C₂×#390	C₂²	1	4	yes	complemented
168	C₂×#386	C₂²	1	8	yes	complemented
169	C₂×#386	C₂²	1	8	yes	complemented
170	C₂×#380	C₂²	1	4	yes	complemented
171	C₂×#379	C₂²	1	8	yes	complemented
172	C₄²×D₄	C₂²	1	1	yes	characteristic, complemented
173	C₄²×D₄	C₂²	1	2	yes	complemented
174	C₂×C₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
175	C₂⁶	C₂³	1	4	yes	—
176	C₂²×#41	C₂³	1	2	yes	—
177	C₂²×#41	C₂³	1	2	yes	complemented
178	C₂³×D₄	—	2	32	no	—
179	C₂³×D₄	—	2	32	no	—
180	C₂³×D₄	—	4	16	no	—
181	C₂³×D₄	C₂³	1	4	yes	—
182	C₂³×D₄	C₂³	1	8	yes	—
183	C₂³×D₄	C₂³	1	8	yes	—
184	C₂³×D₄	C₂³	1	4	yes	—
185	C₂³×D₄	C₂³	1	4	yes	—
186	C₂³×D₄	C₂³	1	8	yes	—
187	C₂³×D₄	C₂³	1	4	yes	—
188	C₂³×D₄	C₂³	1	4	yes	—
189	C₂³×D₄	C₂³	1	2	yes	—
190	C₂³×D₄	C₂³	1	2	yes	—
191	C₂⁴×C₄	C₂³	1	4	yes	—
192	C₂⁴×C₄	C₂³	1	4	yes	complemented
193	C₂⁴×C₄	C₂³	1	4	yes	complemented
194	#559	—	2	8	no	—
195	#554	—	2	16	no	—
196	#553	—	2	32	no	—
197	#551	—	2	32	no	—
198	#546	—	2	32	no	—
199	#546	—	2	16	no	—
200	#546	—	4	8	no	—
201	#546	—	4	16	no	—
202	D₄²	—	2	32	no	—
203	D₄²	—	2	8	no	—
204	D₄²	—	2	32	no	—
205	D₄²	—	2	32	no	—
206	D₄²	—	2	16	no	—
207	D₄²	D₄	1	16	yes	complemented
208	#532	—	2	8	no	—
209	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
210	C₂×#127	—	2	8	no	—
211	C₂×#127	C₂³	1	1	yes	characteristic
212	C₂×#127	C₂³	1	4	yes	—
213	C₂×#127	C₂³	1	2	yes	—
214	C₂×#127	C₂³	1	1	yes	characteristic
215	#529	—	2	32	no	—
216	C₂×#126	C₂³	1	8	yes	complemented
217	C₂×#125	C₂³	1	4	yes	complemented
218	C₂×#124	C₂³	1	2	yes	—
219	C₂×#124	C₂³	1	4	yes	complemented
220	C₂×#124	C₂³	1	2	yes	complemented
221	C₂×#124	C₂³	1	4	yes	complemented
222	C₂×#124	C₂³	1	2	yes	complemented
223	C₂×#124	C₂³	1	2	yes	complemented
224	#525	—	2	32	no	—
225	C₂×#123	C₂³	1	4	yes	—
226	C₂×#123	C₂³	1	8	yes	complemented
227	C₂×#123	C₂³	1	4	yes	complemented
228	C₂×#123	C₂³	1	4	yes	complemented
229	C₂×#123	C₂³	1	4	yes	complemented
230	C₂×#123	C₂³	1	8	yes	complemented
231	C₂×#123	C₂³	1	4	yes	complemented
232	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
233	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
234	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
235	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
236	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
237	C₂×#121	—	2	32	no	—
238	C₂×#121	C₂³	1	4	yes	—
239	C₂×#121	C₂³	1	2	yes	—
240	C₂×#121	C₂³	1	4	yes	—
241	C₂×#121	C₂³	1	4	yes	—
242	C₂×#121	C₂³	1	4	yes	—
243	C₂×#121	C₂³	1	8	yes	—
244	C₂×#121	C₂³	1	8	yes	—
245	C₂×#121	C₂³	1	4	yes	—
246	C₂×#121	C₂³	1	4	yes	complemented
247	C₂×#121	C₂³	1	8	yes	complemented
248	C₂×#121	C₂³	1	8	yes	complemented
249	C₂×#121	C₂³	1	4	yes	complemented
250	C₂×#121	C₂³	1	4	yes	complemented
251	C₂×#121	C₂³	1	2	yes	complemented
252	C₂×#120	—	2	32	no	—
253	C₂×#120	C₂³	1	4	yes	—
254	C₂×#120	C₂³	1	4	yes	—
255	C₂×#120	C₂³	1	4	yes	—
256	C₂×#120	C₂³	1	8	yes	—
257	C₂×#120	C₂³	1	4	yes	—
258	C₂×#120	C₂³	1	8	yes	—
259	C₂×#120	C₂³	1	4	yes	—
260	C₂×#120	C₂³	1	4	yes	—
261	C₂×#120	C₂³	1	4	yes	complemented
262	C₂×#120	C₂³	1	8	yes	complemented
263	C₂×#120	C₂³	1	4	yes	complemented
264	C₄×#41	—	2	16	no	—
265	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
266	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
267	C₂×C₄×D₄	—	2	32	no	—
268	C₂×C₄×D₄	—	2	16	no	—
269	C₂×C₄×D₄	—	4	16	no	—
270	C₂×C₄×D₄	C₂³	1	2	yes	—
271	C₂×C₄×D₄	C₂³	1	2	yes	—
272	C₂×C₄×D₄	C₂³	1	4	yes	—
273	C₂×C₄×D₄	C₂³	1	2	yes	—
274	C₂×C₄×D₄	C₂³	1	4	yes	—
275	C₂×C₄×D₄	C₂³	1	2	yes	—
276	C₂×C₄×D₄	C₂³	1	2	yes	—
277	C₂×C₄×D₄	C₂³	1	2	yes	—
278	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
279	C₂×C₄×D₄	C₂³	1	4	yes	—
280	C₂×C₄×D₄	C₂³	1	2	yes	—
281	C₂×C₄×D₄	C₂³	1	4	yes	—
282	C₂×C₄×D₄	C₂³	1	2	yes	—
283	C₂×C₄×D₄	C₂³	1	8	yes	complemented
284	C₂×C₄×D₄	C₂³	1	4	yes	complemented
285	C₂×C₄×D₄	C₂³	1	8	yes	complemented
286	C₂×C₄×D₄	C₂³	1	4	yes	complemented
287	C₂×C₄×D₄	C₂³	1	4	yes	complemented
288	C₂×C₄×D₄	C₂³	1	4	yes	complemented
289	C₂×C₄×D₄	C₂³	1	4	yes	complemented
290	C₂×C₄×D₄	C₂³	1	2	yes	complemented
291	C₂×C₄×D₄	C₂³	1	8	yes	complemented
292	C₂×C₄×D₄	C₂³	1	4	yes	complemented
293	C₂×C₄×D₄	C₂³	1	8	yes	complemented
294	C₂×C₄×D₄	C₂³	1	4	yes	complemented
295	C₂×#117	C₂³	1	4	yes	complemented
296	C₂×#117	C₂³	1	4	yes	complemented
297	C₂×#117	C₂³	1	2	yes	complemented
298	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
299	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
300	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
301	C₂²×C₂²⋊C₄	—	4	16	no	—
302	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
303	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
305	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
306	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
310	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
311	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
312	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
313	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
314	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
315	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
316	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
317	C₂²×C₄²	C₂³	1	1	yes	characteristic
318	C₂²×C₄²	C₂³	1	4	yes	complemented
319	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
320	C₂²×C₄²	C₂³	1	4	yes	complemented
321	#400	C₂³	1	8	yes	complemented
322	#399	C₂³	1	8	yes	complemented
323	#398	C₂³	1	8	yes	complemented
324	#397	C₂³	1	8	yes	complemented
325	#397	C₂³	1	8	yes	complemented
326	#397	C₂³	1	8	yes	complemented
327	#397	C₂³	1	8	yes	complemented
328	#396	C₂³	1	8	yes	complemented
329	#396	C₂³	1	8	yes	complemented
330	#396	C₂³	1	8	yes	complemented
331	#394	C₂³	1	8	yes	complemented
332	#394	C₂³	1	8	yes	complemented
333	#394	C₂³	1	8	yes	complemented
334	#394	C₂³	1	8	yes	complemented
335	#394	C₂³	1	8	yes	complemented
336	#394	C₂³	1	8	yes	complemented
337	#394	C₂³	1	8	yes	complemented
338	#394	C₂³	1	8	yes	complemented
339	#394	C₂³	1	8	yes	complemented
340	#394	C₂³	1	8	yes	complemented
341	#394	C₂³	1	8	yes	complemented
342	#394	C₂³	1	8	yes	complemented
343	#394	C₂³	1	8	yes	complemented
344	#393	C₂³	1	8	yes	complemented
345	#392	C₂³	1	8	yes	complemented
346	#392	C₂³	1	8	yes	complemented
347	#392	C₂³	1	8	yes	complemented
348	#391	C₂³	1	2	yes	complemented
349	#391	C₂³	1	2	yes	complemented
350	#391	C₂³	1	2	yes	complemented
351	#390	C₂³	1	4	yes	—
352	#390	C₂³	1	2	yes	—
353	#390	C₂³	1	2	yes	—
354	#390	C₂³	1	4	yes	—
355	#390	C₂³	1	4	yes	complemented
356	#390	C₂³	1	2	yes	complemented
357	#390	C₂³	1	4	yes	complemented
358	#390	C₂³	1	4	yes	complemented
359	#390	C₂³	1	8	yes	complemented
360	#390	C₂³	1	8	yes	complemented
361	#390	C₂³	1	4	yes	complemented
362	#390	C₂³	1	4	yes	complemented
363	#390	C₂³	1	8	yes	complemented
364	#390	C₂³	1	8	yes	complemented
365	#390	C₂³	1	4	yes	complemented
366	#390	C₂³	1	4	yes	complemented
367	#390	C₂³	1	4	yes	complemented
368	#390	C₂³	1	2	yes	complemented
369	#390	C₂³	1	4	yes	complemented
370	#389	C₂³	1	2	yes	complemented
371	#389	C₂³	1	4	yes	complemented
372	#389	C₂³	1	4	yes	complemented
373	#389	C₂³	1	4	yes	complemented
374	#389	C₂³	1	2	yes	complemented
375	#389	C₂³	1	4	yes	complemented
376	#388	C₂³	1	8	yes	complemented
377	#388	C₂³	1	8	yes	complemented
378	#388	C₂³	1	8	yes	complemented
379	#388	C₂³	1	4	yes	complemented
380	#388	C₂³	1	4	yes	complemented
381	#388	C₂³	1	4	yes	complemented
382	#388	C₂³	1	4	yes	complemented
383	#388	C₂³	1	8	yes	complemented
384	#388	C₂³	1	4	yes	complemented
385	#388	C₂³	1	4	yes	complemented
386	#388	C₂³	1	8	yes	complemented
387	#388	C₂³	1	4	yes	complemented
388	#387	C₂³	1	4	yes	complemented
389	#387	C₂³	1	4	yes	complemented
390	#387	C₂³	1	4	yes	complemented
391	#386	C₂³	1	4	yes	—
392	#386	C₂³	1	4	yes	—
393	#386	C₂³	1	8	yes	—
394	#386	C₂³	1	8	yes	—
395	#386	C₂³	1	4	yes	—
396	#386	C₂³	1	4	yes	complemented
397	#386	C₂³	1	8	yes	complemented
398	#386	C₂³	1	4	yes	complemented
399	#386	C₂³	1	4	yes	complemented
400	#386	C₂³	1	8	yes	complemented
401	#386	C₂³	1	8	yes	complemented
402	#386	C₂³	1	8	yes	complemented
403	#386	C₂³	1	8	yes	complemented
404	#386	C₂³	1	8	yes	complemented
405	#386	C₂³	1	8	yes	complemented
406	#386	C₂³	1	8	yes	complemented
407	#386	C₂³	1	8	yes	complemented
408	#386	C₂³	1	8	yes	complemented
409	#386	C₂³	1	8	yes	complemented
410	#386	C₂³	1	8	yes	complemented
411	#386	C₂³	1	8	yes	complemented
412	#386	C₂³	1	8	yes	complemented
413	#386	C₂³	1	8	yes	complemented
414	#386	C₂³	1	8	yes	complemented
415	#386	C₂³	1	4	yes	complemented
416	#386	C₂³	1	4	yes	complemented
417	#386	C₂³	1	4	yes	complemented
418	#386	C₂³	1	4	yes	complemented
419	#385	C₂³	1	8	yes	—
420	#385	C₂³	1	4	yes	—
421	#385	C₂³	1	4	yes	—
422	#385	C₂³	1	8	yes	complemented
423	#385	C₂³	1	8	yes	complemented
424	#385	C₂³	1	4	yes	complemented
425	#385	C₂³	1	8	yes	complemented
426	#385	C₂³	1	8	yes	complemented
427	#385	C₂³	1	4	yes	complemented
428	#385	C₂³	1	4	yes	complemented
429	#385	C₂³	1	4	yes	complemented
430	#384	C₂³	1	1	yes	characteristic, complemented
431	#382	C₂³	1	4	yes	complemented
432	#382	C₂³	1	2	yes	complemented
433	#381	C₂³	1	4	yes	complemented
434	#381	C₂³	1	4	yes	complemented
435	#381	C₂³	1	4	yes	complemented
436	#380	C₂³	1	4	yes	—
437	#380	C₂³	1	2	yes	—
438	#380	C₂³	1	8	yes	—
439	#380	C₂³	1	4	yes	complemented
440	#380	C₂³	1	4	yes	complemented
441	#380	C₂³	1	4	yes	complemented
442	#380	C₂³	1	8	yes	complemented
443	#380	C₂³	1	4	yes	complemented
444	#380	C₂³	1	4	yes	complemented
445	#380	C₂³	1	8	yes	complemented
446	#380	C₂³	1	2	yes	complemented
447	#380	C₂³	1	4	yes	complemented
448	#379	C₂³	1	8	yes	—
449	#379	C₂³	1	4	yes	—
450	#379	C₂³	1	4	yes	—
451	#379	C₂³	1	8	yes	—
452	#379	C₂³	1	8	yes	—
453	#379	C₂³	1	4	yes	complemented
454	#379	C₂³	1	8	yes	complemented
455	#379	C₂³	1	4	yes	complemented
456	#379	C₂³	1	8	yes	complemented
457	#379	C₂³	1	8	yes	complemented
458	#379	C₂³	1	8	yes	complemented
459	#379	C₂³	1	8	yes	complemented
460	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
461	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
462	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
463	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
465	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
466	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
467	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
468	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
469	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
470	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
472	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
473	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
474	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
475	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
476	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
477	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
478	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
479	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
480	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
481	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
482	C₂×#95	C₂³	1	4	yes	complemented
483	C₂×#95	C₂³	1	4	yes	complemented
484	C₂×#95	C₂³	1	8	yes	complemented
485	C₄³	C₂³	1	1	yes	characteristic, complemented
486	C₂⁵	—	2	16	no	—
487	C₂⁵	—	2	32	no	—
488	C₂⁵	—	4	8	no	—
489	C₂⁵	—	4	16	no	—
490	C₂⁵	—	8	4	no	—
491	C₂⁵	C₂⁴	1	4	yes	—
492	C₂⁵	C₂⁴	1	8	yes	—
493	C₂⁵	C₂⁴	1	4	yes	—
494	C₂⁵	C₂⁴	1	4	yes	—
495	C₂⁵	C₂⁴	1	4	yes	—
496	C₂×#41	—	2	8	no	—
497	C₂×#41	—	2	8	no	—
498	C₂×#41	—	2	8	no	—
499	C₂×#41	—	2	8	no	—
500	C₂×#41	—	4	4	no	—
501	C₂×#41	—	8	2	no	—
502	C₂²×Q₈	C₂⁴	1	2	yes	—
503	C₂²×Q₈	C₂⁴	1	2	yes	—
504	C₂²×D₄	—	2	8	no	—
505	C₂²×D₄	—	2	16	no	—
506	C₂²×D₄	—	2	16	no	—
507	C₂²×D₄	—	2	8	no	—
508	C₂²×D₄	—	2	32	no	—
509	C₂²×D₄	—	2	32	no	—
510	C₂²×D₄	—	2	32	no	—
511	C₂²×D₄	—	2	16	no	—
512	C₂²×D₄	—	2	32	no	—
513	C₂²×D₄	—	2	16	no	—
514	C₂²×D₄	—	2	16	no	—
515	C₂²×D₄	—	2	16	no	—
516	C₂²×D₄	—	2	32	no	—
517	C₂²×D₄	—	2	16	no	—
518	C₂²×D₄	—	2	32	no	—
519	C₂²×D₄	—	2	16	no	—
520	C₂²×D₄	—	2	16	no	—
521	C₂²×D₄	—	2	8	no	—
522	C₂²×D₄	—	2	16	no	—
523	C₂²×D₄	—	2	16	no	—
524	C₂²×D₄	—	4	8	no	—
525	C₂²×D₄	—	4	8	no	—
526	C₂²×D₄	—	4	8	no	—
527	C₂²×D₄	—	4	4	no	—
528	C₂²×D₄	—	4	16	no	—
529	C₂²×D₄	—	4	16	no	—
530	C₂²×D₄	—	4	16	no	—
531	C₂²×D₄	—	4	256	no	—
532	C₂²×D₄	—	8	2	no	—
533	C₂²×D₄	C₂×D₄	1	32	yes	—
534	C₂²×D₄	#41	1	16	yes	complemented
535	C₂²×D₄	C₂⁴	1	1	yes	characteristic
536	C₂²×D₄	C₂⁴	1	4	yes	—
537	C₂²×D₄	C₂⁴	1	8	yes	—
538	C₂²×D₄	C₂⁴	1	4	yes	—
539	C₂²×D₄	C₂⁴	1	8	yes	—
540	C₂²×D₄	C₂⁴	1	8	yes	—
541	C₂²×D₄	C₂⁴	1	8	yes	—
542	C₂²×D₄	C₂⁴	1	8	yes	—
543	C₂²×D₄	C₂⁴	1	4	yes	—
544	C₂²×D₄	C₂⁴	1	4	yes	—
545	C₂²×D₄	C₂⁴	1	2	yes	—
546	C₂²×D₄	C₂⁴	1	4	yes	—
547	C₂²×D₄	C₂⁴	1	4	yes	—
548	C₂²×D₄	C₂⁴	1	2	yes	—
549	C₂²×D₄	C₂⁴	1	4	yes	—
550	C₂²×D₄	C₂⁴	1	4	yes	—
551	C₂²×D₄	C₂⁴	1	2	yes	—
552	C₂²×D₄	C₂⁴	1	2	yes	—
553	C₂³×C₄	—	2	16	no	—
554	C₂³×C₄	—	2	16	no	—
555	C₂³×C₄	—	2	16	no	—
556	C₂³×C₄	—	4	8	no	—
557	C₂³×C₄	—	4	8	no	—
558	C₂³×C₄	—	4	8	no	—
559	C₂³×C₄	—	4	16	no	—
560	C₂³×C₄	—	8	4	no	—
561	C₂³×C₄	C₂⁴	1	4	yes	—
562	C₂³×C₄	C₂⁴	1	2	yes	—
563	C₂³×C₄	C₂⁴	1	4	yes	—
564	C₂³×C₄	C₂⁴	1	1	yes	characteristic
565	C₂³×C₄	C₂⁴	1	4	yes	—
566	C₂³×C₄	C₂⁴	1	4	yes	—
567	C₂³×C₄	C₂⁴	1	4	yes	—
568	C₂³×C₄	C₂⁴	1	4	yes	—
569	C₂³×C₄	C₂⁴	1	4	yes	—
570	C₂³×C₄	C₂⁴	1	4	yes	—
571	C₂³×C₄	C₂⁴	1	1	yes	characteristic
572	C₂³×C₄	C₂⁴	1	4	yes	—
573	C₂³×C₄	C₂⁴	1	2	yes	—
574	C₂³×C₄	C₂⁴	1	4	yes	—
575	C₂³×C₄	C₂⁴	1	8	yes	—
576	C₂³×C₄	C₂⁴	1	8	yes	—
577	C₂³×C₄	C₂⁴	1	4	yes	—
578	C₂³×C₄	C₂⁴	1	4	yes	—
579	C₂³×C₄	C₂⁴	1	4	yes	—
580	C₄⋊Q₈	—	2	4	no	—
581	#127	—	2	8	no	—
582	#127	—	2	16	no	—
583	#127	—	2	4	no	—
584	#127	C₂×D₄	1	8	yes	—
585	#126	—	2	32	no	—
586	#125	—	2	16	no	—
587	#124	—	2	16	no	—
588	#124	—	2	8	no	—
589	#124	—	2	8	no	—
590	#124	—	4	4	no	—
591	#124	—	4	8	no	—
592	#124	—	8	2	no	—
593	#123	—	2	16	no	—
594	#123	—	2	32	no	—
595	#123	—	2	16	no	—
596	#123	—	2	16	no	—
597	#123	—	4	8	no	—
598	#123	—	4	16	no	—
599	#123	—	8	4	no	—
600	C₂²⋊Q₈	—	2	16	no	—
601	C₂²⋊Q₈	—	2	8	no	—
602	C₂²⋊Q₈	—	2	32	no	—
603	C₂²⋊Q₈	—	4	4	no	—
604	C₂²⋊Q₈	—	4	8	no	—
605	#121	—	2	16	no	—
606	#121	—	2	32	no	—
607	#121	—	2	32	no	—
608	#121	—	2	16	no	—
609	#121	—	2	8	no	—
610	#121	—	2	16	no	—
611	#121	—	2	16	no	—
612	#121	—	2	16	no	—
613	#121	—	2	32	no	—
614	#121	—	4	4	no	—
615	#121	—	4	8	no	—
616	#121	—	4	8	no	—
617	#121	—	4	16	no	—
618	#121	C₂×D₄	1	32	yes	—
619	#120	—	2	16	no	—
620	#120	—	2	16	no	—
621	#120	—	2	16	no	—
622	#120	—	2	32	no	—
623	#120	—	2	16	no	—
624	#120	—	2	16	no	—
625	#120	—	2	32	no	—
626	#120	—	4	8	no	—
627	#120	—	4	16	no	—
628	#120	—	8	4	no	—
629	#120	C₂×D₄	1	32	yes	—
630	C₄×Q₈	—	2	8	no	—
631	C₄×Q₈	—	2	8	no	—
632	C₄×D₄	—	2	8	no	—
633	C₄×D₄	—	2	8	no	—
634	C₄×D₄	—	2	16	no	—
635	C₄×D₄	—	2	32	no	—
636	C₄×D₄	—	2	16	no	—
637	C₄×D₄	—	2	32	no	—
638	C₄×D₄	—	2	16	no	—
639	C₄×D₄	—	2	8	no	—
640	C₄×D₄	—	2	8	no	—
641	C₄×D₄	—	2	16	no	—
642	C₄×D₄	—	2	16	no	—
643	C₄×D₄	—	2	16	no	—
644	C₄×D₄	—	2	8	no	—
645	C₄×D₄	—	2	8	no	—
646	C₄×D₄	—	2	16	no	—
647	C₄×D₄	—	2	16	no	—
648	C₄×D₄	—	2	4	no	—
649	C₄×D₄	—	2	8	no	—
650	C₄×D₄	—	4	8	no	—
651	C₄×D₄	—	4	8	no	—
652	C₄×D₄	—	4	8	no	—
653	C₄×D₄	—	4	4	no	—
654	C₄×D₄	—	4	16	no	—
655	C₄×D₄	—	4	16	no	—
656	C₄×D₄	C₂×D₄	1	16	yes	—
657	#117	—	2	8	no	—
658	#117	—	2	16	no	—
659	#117	—	2	16	no	—
660	C₂×C₄⋊C₄	—	2	16	no	—
661	C₂×C₄⋊C₄	—	2	8	no	—
662	C₂×C₄⋊C₄	—	4	8	no	—
663	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
664	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
665	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
666	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
667	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
668	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
669	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
670	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
671	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
672	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
673	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
674	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
675	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
678	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
679	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
680	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
682	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
684	C₂×C₂²⋊C₄	—	2	32	no	—
685	C₂×C₂²⋊C₄	—	2	16	no	—
686	C₂×C₂²⋊C₄	—	2	16	no	—
687	C₂×C₂²⋊C₄	—	2	16	no	—
688	C₂×C₂²⋊C₄	—	2	16	no	—
689	C₂×C₂²⋊C₄	—	2	16	no	—
690	C₂×C₂²⋊C₄	—	4	8	no	—
691	C₂×C₂²⋊C₄	—	4	8	no	—
692	C₂×C₂²⋊C₄	—	4	16	no	—
693	C₂×C₂²⋊C₄	—	4	16	no	—
694	C₂×C₂²⋊C₄	—	4	8	no	—
695	C₂×C₂²⋊C₄	—	4	16	no	—
696	C₂×C₂²⋊C₄	—	4	16	no	—
697	C₂×C₂²⋊C₄	—	4	16	no	—
698	C₂×C₂²⋊C₄	—	8	8	no	—
699	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
700	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
701	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
708	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
709	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
710	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
711	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
714	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
715	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
716	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
717	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
718	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
719	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
720	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
721	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
722	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
723	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
724	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
725	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
726	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
727	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
728	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
729	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
730	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
731	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
732	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
733	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
734	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
735	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
747	C₂×C₄²	—	2	16	no	—
748	C₂×C₄²	—	2	4	no	—
749	C₂×C₄²	—	2	4	no	—
750	C₂×C₄²	—	4	8	no	—
751	C₂×C₄²	C₂⁴	1	1	yes	characteristic
752	C₂×C₄²	C₂⁴	1	4	yes	—
753	C₂×C₄²	C₂⁴	1	4	yes	—
754	C₂×C₄²	C₂⁴	1	2	yes	—
755	C₂×C₄²	C₂⁴	1	1	yes	characteristic
756	C₂×C₄²	C₂⁴	1	2	yes	—
757	C₂×C₄²	C₂⁴	1	4	yes	—
758	C₂×C₄²	C₂⁴	1	2	yes	—
759	C₂×C₄²	C₂⁴	1	1	yes	characteristic
760	C₂×C₄²	C₂⁴	1	4	yes	—
761	C₂×C₄²	C₂⁴	1	2	yes	—
762	C₂×C₄²	C₂⁴	1	4	yes	—
763	C₂×C₄²	C₂⁴	1	4	yes	—
764	C₂×C₄²	C₂⁴	1	1	yes	characteristic
765	C₂×C₄²	C₂⁴	1	1	yes	characteristic
766	#95	C₂⁴	1	2	yes	—
767	#95	C₂⁴	1	2	yes	—
768	#95	C₂⁴	1	4	yes	—
769	#95	C₂⁴	1	4	yes	—
770	#95	C₂⁴	1	4	yes	—
771	#95	C₂⁴	1	4	yes	—
772	#95	C₂⁴	1	4	yes	—
773	#95	C₂⁴	1	4	yes	—
774	#95	C₂⁴	1	4	yes	—
775	#95	C₂⁴	1	8	yes	—
776	#95	C₂⁴	1	8	yes	—
777	#95	C₂⁴	1	8	yes	—
778	#95	C₂⁴	1	2	yes	—
779	#95	C₂⁴	1	4	yes	—
780	#95	C₂⁴	1	4	yes	—
781	#95	C₂⁴	1	4	yes	—
782	#95	C₂⁴	1	8	yes	—
783	#95	C₂⁴	1	4	yes	—
784	#95	C₂⁴	1	4	yes	—
785	#95	C₂⁴	1	4	yes	—
786	#95	C₂⁴	1	8	yes	—
787	C₂⁴	—	2	8	no	—
788	C₂⁴	—	2	8	no	—
789	C₂⁴	—	2	16	no	—
790	C₂⁴	—	2	8	no	—
791	C₂⁴	—	2	16	no	—
792	C₂⁴	—	2	8	no	—
793	C₂⁴	—	2	8	no	—
794	C₂⁴	—	2	16	no	—
795	C₂⁴	—	2	8	no	—
796	C₂⁴	—	2	16	no	—
797	C₂⁴	—	2	16	no	—
798	C₂⁴	—	2	16	no	—
799	C₂⁴	—	2	16	no	—
800	C₂⁴	—	2	8	no	—
801	C₂⁴	—	2	16	no	—
802	C₂⁴	—	4	4	no	—
803	C₂⁴	—	4	4	no	—
804	C₂⁴	—	4	4	no	—
805	C₂⁴	—	4	4	no	—
806	C₂⁴	—	4	8	no	—
807	C₂⁴	—	4	4	no	—
808	C₂⁴	—	4	8	no	—
809	C₂⁴	—	4	8	no	—
810	C₂⁴	—	4	8	no	—
811	C₂⁴	—	4	8	no	—
812	C₂⁴	—	4	4	no	—
813	C₂⁴	—	4	4	no	—
814	C₂⁴	—	4	128	no	—
815	C₂⁴	—	4	64	no	—
816	C₂⁴	—	8	32	no	—
817	C₂⁴	—	8	64	no	—
818	C₂⁴	—	8	32	no	—
819	C₂⁴	C₂²×D₄	1	16	yes	—
820	C₂⁴	C₂×#41	1	16	yes	—
821	C₂⁴	C₂⁵	1	4	yes	—
822	C₂⁴	C₂⁵	1	1	yes	characteristic
823	C₂⁴	C₂⁵	1	4	yes	—
824	C₂⁴	C₂⁵	1	4	yes	—
825	C₂⁴	C₂⁵	1	4	yes	—
826	C₂⁴	C₂⁵	1	1	yes	characteristic
827	#41	—	4	32	no	—
828	#41	—	8	16	no	—
829	C₂×Q₈	—	2	4	no	—
830	C₂×Q₈	—	2	4	no	—
831	C₂×Q₈	—	2	4	no	—
832	C₂×Q₈	—	2	4	no	—
833	C₂×Q₈	—	4	2	no	—
834	C₂×Q₈	—	4	2	no	—
835	C₂×D₄	—	2	8	no	—
836	C₂×D₄	—	2	16	no	—
837	C₂×D₄	—	2	16	no	—
838	C₂×D₄	—	2	8	no	—
839	C₂×D₄	—	2	64	no	—
840	C₂×D₄	—	2	128	no	—
841	C₂×D₄	—	2	8	no	—
842	C₂×D₄	—	2	16	no	—
843	C₂×D₄	—	2	16	no	—
844	C₂×D₄	—	2	16	no	—
845	C₂×D₄	—	2	4	no	—
846	C₂×D₄	—	2	8	no	—
847	C₂×D₄	—	2	16	no	—
848	C₂×D₄	—	2	16	no	—
849	C₂×D₄	—	2	16	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	8	no	—
852	C₂×D₄	—	2	16	no	—
853	C₂×D₄	—	2	8	no	—
854	C₂×D₄	—	2	8	no	—
855	C₂×D₄	—	2	8	no	—
856	C₂×D₄	—	2	4	no	—
857	C₂×D₄	—	2	16	no	—
858	C₂×D₄	—	2	8	no	—
859	C₂×D₄	—	2	4	no	—
860	C₂×D₄	—	2	8	no	—
861	C₂×D₄	—	2	16	no	—
862	C₂×D₄	—	2	8	no	—
863	C₂×D₄	—	2	8	no	—
864	C₂×D₄	—	2	4	no	—
865	C₂×D₄	—	2	8	no	—
866	C₂×D₄	—	4	64	no	—
867	C₂×D₄	—	4	64	no	—
868	C₂×D₄	—	4	2	no	—
869	C₂×D₄	—	4	8	no	—
870	C₂×D₄	—	4	8	no	—
871	C₂×D₄	—	4	8	no	—
872	C₂×D₄	—	4	2	no	—
873	C₂×D₄	—	4	4	no	—
874	C₂×D₄	—	4	4	no	—
875	C₂×D₄	—	4	4	no	—
876	C₂×D₄	—	4	4	no	—
877	C₂×D₄	—	4	4	no	—
878	C₂×D₄	—	4	2	no	—
879	C₂×D₄	—	4	4	no	—
880	C₂×D₄	—	4	2	no	—
881	C₂×D₄	—	4	4	no	—
882	C₂×D₄	—	4	8	no	—
883	C₂×D₄	—	4	128	no	—
884	C₂×D₄	—	4	64	no	—
885	C₂×D₄	—	4	128	no	—
886	C₂×D₄	—	4	128	no	—
887	C₂×D₄	—	4	64	no	—
888	C₂×D₄	—	8	16	no	—
889	C₂×D₄	C₂²×D₄	1	32	yes	—
890	C₂×D₄	C₂²×D₄	1	16	yes	—
891	C₂×D₄	C₂²×D₄	1	8	yes	—
892	C₂×D₄	C₂²×D₄	1	8	yes	—
893	C₂×D₄	C₂×#41	1	16	yes	—
894	C₂×D₄	C₂×#41	1	8	yes	—
895	C₂×D₄	C₂×#41	1	8	yes	—
896	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
897	C₂²×C₄	—	2	4	no	—
898	C₂²×C₄	—	2	8	no	—
899	C₂²×C₄	—	2	8	no	—
900	C₂²×C₄	—	2	4	no	—
901	C₂²×C₄	—	2	8	no	—
902	C₂²×C₄	—	2	8	no	—
903	C₂²×C₄	—	2	8	no	—
904	C₂²×C₄	—	2	8	no	—
905	C₂²×C₄	—	2	8	no	—
906	C₂²×C₄	—	2	8	no	—
907	C₂²×C₄	—	2	8	no	—
908	C₂²×C₄	—	2	8	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	16	no	—
911	C₂²×C₄	—	2	8	no	—
912	C₂²×C₄	—	2	8	no	—
913	C₂²×C₄	—	2	16	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	4	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	8	no	—
918	C₂²×C₄	—	2	8	no	—
919	C₂²×C₄	—	2	8	no	—
920	C₂²×C₄	—	2	4	no	—
921	C₂²×C₄	—	2	8	no	—
922	C₂²×C₄	—	2	8	no	—
923	C₂²×C₄	—	2	8	no	—
924	C₂²×C₄	—	2	8	no	—
925	C₂²×C₄	—	2	8	no	—
926	C₂²×C₄	—	2	8	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	4	no	—
929	C₂²×C₄	—	2	8	no	—
930	C₂²×C₄	—	2	8	no	—
931	C₂²×C₄	—	4	4	no	—
932	C₂²×C₄	—	4	4	no	—
933	C₂²×C₄	—	4	4	no	—
934	C₂²×C₄	—	4	4	no	—
935	C₂²×C₄	—	4	4	no	—
936	C₂²×C₄	—	4	4	no	—
937	C₂²×C₄	—	4	1	no	—
938	C₂²×C₄	—	4	1	no	—
939	C₂²×C₄	—	4	64	no	—
940	C₂²×C₄	—	4	4	no	—
941	C₂²×C₄	—	4	4	no	—
942	C₂²×C₄	—	4	4	no	—
943	C₂²×C₄	—	4	8	no	—
944	C₂²×C₄	—	4	8	no	—
945	C₂²×C₄	—	4	8	no	—
946	C₂²×C₄	—	4	4	no	—
947	C₂²×C₄	—	4	8	no	—
948	C₂²×C₄	—	4	8	no	—
949	C₂²×C₄	—	4	8	no	—
950	C₂²×C₄	—	4	4	no	—
951	C₂²×C₄	—	8	32	no	—
952	C₂²×C₄	—	8	32	no	—
953	C₂²×C₄	C₂²×D₄	1	16	yes	—
954	C₂²×C₄	C₂×#41	1	8	yes	—
955	C₂²×C₄	C₂⁵	1	4	yes	—
956	C₂²×C₄	C₂⁵	1	2	yes	—
957	C₂²×C₄	C₂⁵	1	1	yes	characteristic
958	C₂²×C₄	C₂⁵	1	4	yes	—
959	C₂²×C₄	C₂⁵	1	4	yes	—
960	C₂²×C₄	C₂⁵	1	4	yes	—
961	C₂²×C₄	C₂⁵	1	1	yes	characteristic
962	C₂²×C₄	C₂⁵	1	4	yes	—
963	C₂²×C₄	C₂⁵	1	4	yes	—
964	C₂²×C₄	C₂⁵	1	2	yes	—
965	C₂²×C₄	C₂⁵	1	4	yes	—
966	C₂²×C₄	C₂⁵	1	1	yes	characteristic
967	C₂²×C₄	C₂⁵	1	4	yes	—
968	C₂²×C₄	C₂⁵	1	2	yes	—
969	C₂²×C₄	C₂⁵	1	1	yes	characteristic
970	C₂²×C₄	C₂⁵	1	1	yes	characteristic
971	C₂²×C₄	C₂⁵	1	2	yes	—
972	C₄⋊C₄	—	2	4	no	—
973	C₄⋊C₄	—	2	8	no	—
974	C₄⋊C₄	—	2	4	no	—
975	C₄⋊C₄	—	2	8	no	—
976	C₄⋊C₄	—	2	16	no	—
977	C₄⋊C₄	—	2	8	no	—
978	C₄⋊C₄	—	2	8	no	—
979	C₄⋊C₄	—	2	16	no	—
980	C₄⋊C₄	—	2	4	no	—
981	C₄⋊C₄	—	2	4	no	—
982	C₄⋊C₄	—	2	8	no	—
983	C₄⋊C₄	—	2	4	no	—
984	C₄⋊C₄	—	2	8	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	4	8	no	—
987	C₄⋊C₄	—	4	2	no	—
988	C₄⋊C₄	—	4	4	no	—
989	C₄⋊C₄	—	4	4	no	—
990	C₄⋊C₄	—	4	8	no	—
991	C₄⋊C₄	—	4	4	no	—
992	C₄⋊C₄	C₂²×D₄	1	8	yes	—
993	C₂²⋊C₄	—	2	8	no	—
994	C₂²⋊C₄	—	2	8	no	—
995	C₂²⋊C₄	—	2	16	no	—
996	C₂²⋊C₄	—	2	16	no	—
997	C₂²⋊C₄	—	2	16	no	—
998	C₂²⋊C₄	—	2	8	no	—
999	C₂²⋊C₄	—	2	8	no	—
1000	C₂²⋊C₄	—	2	4	no	—
1001	C₂²⋊C₄	—	2	8	no	—
1002	C₂²⋊C₄	—	2	8	no	—
1003	C₂²⋊C₄	—	2	8	no	—
1004	C₂²⋊C₄	—	2	8	no	—
1005	C₂²⋊C₄	—	2	8	no	—
1006	C₂²⋊C₄	—	2	8	no	—
1007	C₂²⋊C₄	—	2	8	no	—
1008	C₂²⋊C₄	—	2	8	no	—
1009	C₂²⋊C₄	—	2	16	no	—
1010	C₂²⋊C₄	—	2	8	no	—
1011	C₂²⋊C₄	—	2	8	no	—
1012	C₂²⋊C₄	—	2	16	no	—
1013	C₂²⋊C₄	—	2	8	no	—
1014	C₂²⋊C₄	—	2	4	no	—
1015	C₂²⋊C₄	—	2	8	no	—
1016	C₂²⋊C₄	—	2	8	no	—
1017	C₂²⋊C₄	—	2	8	no	—
1018	C₂²⋊C₄	—	2	8	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	4	8	no	—
1021	C₂²⋊C₄	—	4	8	no	—
1022	C₂²⋊C₄	—	4	8	no	—
1023	C₂²⋊C₄	—	4	4	no	—
1024	C₂²⋊C₄	—	4	8	no	—
1025	C₂²⋊C₄	—	4	8	no	—
1026	C₂²⋊C₄	—	4	8	no	—
1027	C₂²⋊C₄	—	4	8	no	—
1028	C₂²⋊C₄	—	4	8	no	—
1029	C₂²⋊C₄	—	4	4	no	—
1030	C₂²⋊C₄	—	4	8	no	—
1031	C₂²⋊C₄	—	4	8	no	—
1032	C₂²⋊C₄	—	4	8	no	—
1033	C₂²⋊C₄	—	4	4	no	—
1034	C₂²⋊C₄	—	4	4	no	—
1035	C₂²⋊C₄	—	4	8	no	—
1036	C₂²⋊C₄	—	4	4	no	—
1037	C₂²⋊C₄	—	4	4	no	—
1038	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1039	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1040	C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
1041	C₄²	—	2	4	no	—
1042	C₄²	—	2	2	no	—
1043	C₄²	—	2	8	no	—
1044	C₄²	—	2	8	no	—
1045	C₄²	—	2	2	no	—
1046	C₄²	—	2	4	no	—
1047	C₄²	—	2	8	no	—
1048	C₄²	—	2	4	no	—
1049	C₄²	—	2	4	no	—
1050	C₄²	—	2	8	no	—
1051	C₄²	—	2	2	no	—
1052	C₄²	—	4	4	no	—
1053	C₄²	—	4	4	no	—
1054	C₄²	—	4	1	no	—
1055	C₄²	C₂²×D₄	1	4	yes	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	2	4	no	—
1058	C₂³	—	2	4	no	—
1059	C₂³	—	2	4	no	—
1060	C₂³	—	2	2	no	—
1061	C₂³	—	2	4	no	—
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	4	no	—
1064	C₂³	—	2	4	no	—
1065	C₂³	—	2	8	no	—
1066	C₂³	—	2	4	no	—
1067	C₂³	—	2	4	no	—
1068	C₂³	—	2	8	no	—
1069	C₂³	—	2	4	no	—
1070	C₂³	—	2	4	no	—
1071	C₂³	—	2	4	no	—
1072	C₂³	—	2	4	no	—
1073	C₂³	—	2	32	no	—
1074	C₂³	—	2	64	no	—
1075	C₂³	—	2	32	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	4	no	—
1078	C₂³	—	2	2	no	—
1079	C₂³	—	2	8	no	—
1080	C₂³	—	2	4	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	8	no	—
1083	C₂³	—	2	2	no	—
1084	C₂³	—	2	4	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	4	16	no	—
1087	C₂³	—	4	16	no	—
1088	C₂³	—	4	16	no	—
1089	C₂³	—	4	16	no	—
1090	C₂³	—	4	16	no	—
1091	C₂³	—	4	32	no	—
1092	C₂³	—	4	16	no	—
1093	C₂³	—	4	16	no	—
1094	C₂³	—	4	16	no	—
1095	C₂³	—	4	32	no	—
1096	C₂³	—	4	32	no	—
1097	C₂³	—	4	32	no	—
1098	C₂³	—	4	16	no	—
1099	C₂³	—	4	32	no	—
1100	C₂³	—	4	16	no	—
1101	C₂³	—	4	32	no	—
1102	C₂³	—	4	32	no	—
1103	C₂³	—	4	16	no	—
1104	C₂³	—	8	16	no	—
1105	C₂³	—	8	16	no	—
1106	C₂³	—	8	16	no	—
1107	C₂³	—	8	16	no	—
1108	C₂³	—	8	8	no	—
1109	C₂³	—	8	8	no	—
1110	C₂³	—	8	16	no	—
1111	C₂³	—	8	256	no	—
1112	C₂³	—	8	8	no	—
1113	C₂³	C₂³×D₄	1	8	yes	—
1114	C₂³	C₂³×D₄	1	8	yes	—
1115	C₂³	C₂²×#41	1	8	yes	—
1116	C₂³	C₂²×#41	1	8	yes	—
1117	C₂³	C₂²×#41	1	4	yes	—
1118	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1119	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1120	C₂³	C₂⁶	1	1	yes	characteristic
1121	Q₈	—	4	8	no	—
1122	Q₈	—	8	4	no	—
1123	D₄	—	2	32	no	—
1124	D₄	—	2	64	no	—
1125	D₄	—	2	16	no	—
1126	D₄	—	2	32	no	—
1127	D₄	—	4	8	no	—
1128	D₄	—	4	32	no	—
1129	D₄	—	4	32	no	—
1130	D₄	—	4	32	no	—
1131	D₄	—	4	32	no	—
1132	D₄	—	4	16	no	—
1133	D₄	—	4	4	no	—
1134	D₄	—	4	16	no	—
1135	D₄	—	8	4	no	—
1136	D₄	—	8	8	no	—
1137	D₄	—	8	8	no	—
1138	D₄	—	8	8	no	—
1139	D₄	—	16	4	no	—
1140	D₄	#546	1	32	yes	complemented
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	4	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	4	no	—
1147	C₂×C₄	—	2	2	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	16	no	—
1151	C₂×C₄	—	2	32	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	4	no	—
1155	C₂×C₄	—	2	4	no	—
1156	C₂×C₄	—	2	4	no	—
1157	C₂×C₄	—	2	4	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	4	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	4	no	—
1163	C₂×C₄	—	2	4	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	4	no	—
1166	C₂×C₄	—	2	4	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	4	no	—
1169	C₂×C₄	—	2	4	no	—
1170	C₂×C₄	—	2	4	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	8	no	—
1173	C₂×C₄	—	2	4	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	4	no	—
1177	C₂×C₄	—	2	4	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	4	no	—
1180	C₂×C₄	—	2	4	no	—
1181	C₂×C₄	—	2	4	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	4	16	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	16	no	—
1186	C₂×C₄	—	4	16	no	—
1187	C₂×C₄	—	4	16	no	—
1188	C₂×C₄	—	4	16	no	—
1189	C₂×C₄	—	4	16	no	—
1190	C₂×C₄	—	4	4	no	—
1191	C₂×C₄	—	4	16	no	—
1192	C₂×C₄	—	4	16	no	—
1193	C₂×C₄	—	4	8	no	—
1194	C₂×C₄	—	8	8	no	—
1195	C₂×C₄	—	8	8	no	—
1196	C₂×C₄	—	8	8	no	—
1197	C₂×C₄	—	8	16	no	—
1198	C₂×C₄	—	8	16	no	—
1199	C₂×C₄	—	8	8	no	—
1200	C₂×C₄	C₂³×D₄	1	2	yes	—
1201	C₂×C₄	C₂³×D₄	1	8	yes	—
1202	C₂×C₄	C₂³×D₄	1	4	yes	—
1203	C₂×C₄	C₂²×#41	1	4	yes	—
1204	C₂×C₄	C₂²×#41	1	4	yes	—
1205	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1206	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1207	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1208	C₂²	—	2	8	no	—
1209	C₂²	—	2	2	no	—
1210	C₂²	—	2	8	no	—
1211	C₂²	—	2	8	no	—
1212	C₂²	—	2	4	no	—
1213	C₂²	—	2	8	no	—
1214	C₂²	—	2	2	no	—
1215	C₂²	—	2	4	no	—
1216	C₂²	—	2	8	no	—
1217	C₂²	—	2	8	no	—
1218	C₂²	—	2	8	no	—
1219	C₂²	—	2	8	no	—
1220	C₂²	—	2	8	no	—
1221	C₂²	—	2	16	no	—
1222	C₂²	—	2	8	no	—
1223	C₂²	—	4	64	no	—
1224	C₂²	—	4	64	no	—
1225	C₂²	—	4	4	no	—
1226	C₂²	—	4	8	no	—
1227	C₂²	—	4	4	no	—
1228	C₂²	—	4	4	no	—
1229	C₂²	—	4	4	no	—
1230	C₂²	—	4	4	no	—
1231	C₂²	—	4	4	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	4	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	8	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	4	4	no	—
1238	C₂²	—	4	2	no	—
1239	C₂²	—	4	8	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	4	no	—
1242	C₂²	—	8	32	no	—
1243	C₂²	—	8	64	no	—
1244	C₂²	—	8	32	no	—
1245	C₂²	C₂×#546	1	16	yes	—
1246	C₂²	#3481	1	4	yes	complemented
1247	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1248	C₂²	C₂³×#41	1	2	yes	—
1249	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1250	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1251	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	2	no	—
1255	C₄	—	2	4	no	—
1256	C₄	—	2	8	no	—
1257	C₄	—	4	4	no	—
1258	C₄	—	4	4	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	2	no	—
1261	C₄	—	4	4	no	—
1262	C₄	—	4	4	no	—
1263	C₄	—	4	4	no	—
1264	C₄	—	4	2	no	—
1265	C₄	—	4	4	no	—
1266	C₄	—	4	4	no	—
1267	C₄	—	4	1	no	—
1268	C₄	C₂×#546	1	8	yes	—
1269	C₂	—	2	4	no	—
1270	C₂	—	2	16	no	—
1271	C₂	—	4	8	no	—
1272	C₂	—	4	8	no	—
1273	C₂	—	8	1	no	—
1274	C₂	—	8	4	no	—
1275	C₂	C₂²×#546	1	2	yes	—
1276	C₂	C₂×#3481	1	1	yes	characteristic
1277	C₂	D₄×H(5,𝔽₂)	1	1	yes	characteristic
1278	C₂	#62983	1	2	yes	—
1279	C₂	#63011	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3481	C₂	semidirect
2. C₂²×D₄²	C₂	semidirect
3. #59802	C₂	semidirect
4. #59420	C₂	semidirect
5. #59408	C₂	semidirect
6. #59143	C₂	semidirect
7. #59089	C₂	semidirect
8. #59041	C₂	semidirect
9. #59030	C₂	semidirect
10. #59013	C₂	semidirect
11. #59006	C₂	semidirect
12. #36289	C₂	semidirect
13. #36258	C₂	semidirect
14. #36236	C₂	semidirect
15. #36214	C₂	semidirect
16. #36154	C₂	semidirect
17. #36152	C₂	semidirect
18. #36121	C₂	semidirect
19. #36107	C₂	semidirect
20. #36098	C₂	semidirect
21. C₄×#546	C₂	semidirect
22. C₄×D₄²	C₂	semidirect
23. C₂×D₄×C₂²⋊C₄	C₂	semidirect
26. C₂×#559	C₂²	semidirect
27. C₂×#554	C₂²	semidirect
28. C₂×#553	C₂²	semidirect
29. C₂×#551	C₂²	semidirect
31. C₂×#546	C₂²	semidirect
32. C₂×#546	C₂²	semidirect
33. C₂×#546	C₂²	semidirect
41. C₂×#532	C₂²	semidirect
43. C₂×#529	C₂²	semidirect
44. C₂×#525	C₂²	semidirect
47. C₂×C₄×#41	C₂²	semidirect
49. C₂²×C₄×D₄	C₂²	semidirect
50. C₂²×C₄×D₄	C₂²	semidirect
51. C₂³×C₂²⋊C₄	C₂²	semidirect
52. #2858	C₂²	semidirect
53. #2857	C₂²	semidirect
54. #2856	C₂²	semidirect
55. #2854	C₂²	semidirect
56. #2850	C₂²	semidirect
57. #2849	C₂²	semidirect
58. #2848	C₂²	semidirect
59. #2847	C₂²	semidirect
60. #2846	C₂²	semidirect
61. #2709	C₂²	semidirect
62. #2703	C₂²	semidirect
63. #2697	C₂²	semidirect
64. #2691	C₂²	semidirect
65. #2685	C₂²	semidirect
66. #2684	C₂²	semidirect
67. #2563	C₂²	semidirect
68. #2559	C₂²	semidirect
69. #2548	C₂²	semidirect
70. #2544	C₂²	semidirect
71. #2544	C₂²	semidirect
72. #2543	C₂²	semidirect
73. #2539	C₂²	semidirect
74. #2538	C₂²	semidirect
75. #2535	C₂²	semidirect
76. #2534	C₂²	semidirect
77. #2534	C₂²	semidirect
78. #2504	C₂²	semidirect
79. #2490	C₂²	semidirect
80. #2490	C₂²	semidirect
81. #2487	C₂²	semidirect
82. #2480	C₂²	semidirect
83. #2476	C₂²	semidirect
84. #2472	C₂²	semidirect
85. #2472	C₂²	semidirect
86. #2454	C₂²	semidirect
87. #2450	C₂²	semidirect
88. #2445	C₂²	semidirect
89. #2445	C₂²	semidirect
90. #2444	C₂²	semidirect
91. #2444	C₂²	semidirect
92. #2442	C₂²	semidirect
93. #2437	C₂²	semidirect
94. #2435	C₂²	semidirect
95. #2435	C₂²	semidirect
96. #2435	C₂²	semidirect
97. #2435	C₂²	semidirect
98. #2431	C₂²	semidirect
99. #2428	C₂²	semidirect
100. #2427	C₂²	semidirect
101. #2426	C₂²	semidirect
102. #2425	C₂²	semidirect
103. #2424	C₂²	semidirect
104. #2424	C₂²	semidirect
105. #2420	C₂²	semidirect
106. #2420	C₂²	semidirect
107. #2418	C₂²	semidirect
108. #2418	C₂²	semidirect
109. #2417	C₂²	semidirect
110. #2416	C₂²	semidirect
111. #2414	C₂²	semidirect
112. #2412	C₂²	semidirect
113. #2412	C₂²	semidirect
114. #2411	C₂²	semidirect
115. #2411	C₂²	semidirect
116. #2410	C₂²	semidirect
117. #2410	C₂²	semidirect
118. #2410	C₂²	semidirect
119. #2408	C₂²	semidirect
120. #2408	C₂²	semidirect
121. #2408	C₂²	semidirect
122. #2405	C₂²	semidirect
123. #2405	C₂²	semidirect
124. #2405	C₂²	semidirect
125. #2405	C₂²	semidirect
126. #2404	C₂²	semidirect
127. #2367	C₂²	semidirect
128. #2366	C₂²	semidirect
129. #2364	C₂²	semidirect
130. #2363	C₂²	semidirect
131. #2361	C₂²	semidirect
132. #2360	C₂²	semidirect
133. #2359	C₂²	semidirect
134. #2358	C₂²	semidirect
135. #2358	C₂²	semidirect
136. #2352	C₂²	semidirect
137. #2349	C₂²	semidirect
138. #2349	C₂²	semidirect
139. D₄×C₄⋊C₄	C₂²	semidirect
140. #2342	C₂²	semidirect
141. #2342	C₂²	semidirect
142. #2339	C₂²	semidirect
145. D₄×C₂²⋊C₄	C₂²	semidirect
146. D₄×C₂²⋊C₄	C₂²	semidirect
147. D₄×C₂²⋊C₄	C₂²	semidirect
148. D₄×C₂²⋊C₄	C₂²	semidirect
149. D₄×C₂²⋊C₄	C₂²	semidirect
150. D₄×C₂²⋊C₄	C₂²	semidirect
151. D₄×C₂²⋊C₄	C₂²	semidirect
152. D₄×C₂²⋊C₄	C₂²	semidirect
153. D₄×C₂²⋊C₄	C₂²	semidirect
154. D₄×C₂²⋊C₄	C₂²	semidirect
155. D₄×C₂²⋊C₄	C₂²	semidirect
156. D₄×C₂²⋊C₄	C₂²	semidirect
157. C₄×#127	C₂²	semidirect
158. C₄×#124	C₂²	semidirect
159. C₄×C₂²⋊Q₈	C₂²	semidirect
160. C₄×#123	C₂²	semidirect
161. C₄×#121	C₂²	semidirect
162. C₄×#121	C₂²	semidirect
163. C₄×#121	C₂²	semidirect
164. C₄×#120	C₂²	semidirect
165. C₄×#120	C₂²	semidirect
166. C₂×#390	C₂²	semidirect
167. C₂×#390	C₂²	semidirect
168. C₂×#386	C₂²	semidirect
169. C₂×#386	C₂²	semidirect
170. C₂×#380	C₂²	semidirect
171. C₂×#379	C₂²	semidirect
172. C₄²×D₄	C₂²	semidirect
173. C₄²×D₄	C₂²	semidirect
174. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
177. C₂²×#41	C₂³	semidirect
192. C₂⁴×C₄	C₂³	semidirect
193. C₂⁴×C₄	C₂³	semidirect
207. D₄²	D₄	semidirect
209. C₂×C₄⋊Q₈	C₂³	semidirect
216. C₂×#126	C₂³	semidirect
217. C₂×#125	C₂³	semidirect
219. C₂×#124	C₂³	semidirect
220. C₂×#124	C₂³	semidirect
221. C₂×#124	C₂³	semidirect
222. C₂×#124	C₂³	semidirect
223. C₂×#124	C₂³	semidirect
226. C₂×#123	C₂³	semidirect
227. C₂×#123	C₂³	semidirect
228. C₂×#123	C₂³	semidirect
229. C₂×#123	C₂³	semidirect
230. C₂×#123	C₂³	semidirect
231. C₂×#123	C₂³	semidirect
234. C₂×C₂²⋊Q₈	C₂³	semidirect
235. C₂×C₂²⋊Q₈	C₂³	semidirect
236. C₂×C₂²⋊Q₈	C₂³	semidirect
246. C₂×#121	C₂³	semidirect
247. C₂×#121	C₂³	semidirect
248. C₂×#121	C₂³	semidirect
249. C₂×#121	C₂³	semidirect
250. C₂×#121	C₂³	semidirect
251. C₂×#121	C₂³	semidirect
261. C₂×#120	C₂³	semidirect
262. C₂×#120	C₂³	semidirect
263. C₂×#120	C₂³	semidirect
265. C₂×C₄×Q₈	C₂³	semidirect
266. C₂×C₄×Q₈	C₂³	semidirect
283. C₂×C₄×D₄	C₂³	semidirect
284. C₂×C₄×D₄	C₂³	semidirect
285. C₂×C₄×D₄	C₂³	semidirect
286. C₂×C₄×D₄	C₂³	semidirect
287. C₂×C₄×D₄	C₂³	semidirect
288. C₂×C₄×D₄	C₂³	semidirect
289. C₂×C₄×D₄	C₂³	semidirect
290. C₂×C₄×D₄	C₂³	semidirect
291. C₂×C₄×D₄	C₂³	semidirect
292. C₂×C₄×D₄	C₂³	semidirect
293. C₂×C₄×D₄	C₂³	semidirect
294. C₂×C₄×D₄	C₂³	semidirect
295. C₂×#117	C₂³	semidirect
296. C₂×#117	C₂³	semidirect
297. C₂×#117	C₂³	semidirect
299. C₂²×C₄⋊C₄	C₂³	semidirect
300. C₂²×C₄⋊C₄	C₂³	semidirect
309. C₂²×C₂²⋊C₄	C₂³	semidirect
310. C₂²×C₂²⋊C₄	C₂³	semidirect
311. C₂²×C₂²⋊C₄	C₂³	semidirect
312. C₂²×C₂²⋊C₄	C₂³	semidirect
313. C₂²×C₂²⋊C₄	C₂³	semidirect
314. C₂²×C₂²⋊C₄	C₂³	semidirect
315. C₂²×C₂²⋊C₄	C₂³	semidirect
316. C₂²×C₂²⋊C₄	C₂³	semidirect
318. C₂²×C₄²	C₂³	semidirect
319. C₂²×C₄²	C₂³	semidirect
320. C₂²×C₄²	C₂³	semidirect
321. #400	C₂³	semidirect
322. #399	C₂³	semidirect
323. #398	C₂³	semidirect
324. #397	C₂³	semidirect
325. #397	C₂³	semidirect
326. #397	C₂³	semidirect
327. #397	C₂³	semidirect
328. #396	C₂³	semidirect
329. #396	C₂³	semidirect
330. #396	C₂³	semidirect
331. #394	C₂³	semidirect
332. #394	C₂³	semidirect
333. #394	C₂³	semidirect
334. #394	C₂³	semidirect
335. #394	C₂³	semidirect
336. #394	C₂³	semidirect
337. #394	C₂³	semidirect
338. #394	C₂³	semidirect
339. #394	C₂³	semidirect
340. #394	C₂³	semidirect
341. #394	C₂³	semidirect
342. #394	C₂³	semidirect
343. #394	C₂³	semidirect
344. #393	C₂³	semidirect
345. #392	C₂³	semidirect
346. #392	C₂³	semidirect
347. #392	C₂³	semidirect
348. #391	C₂³	semidirect
349. #391	C₂³	semidirect
350. #391	C₂³	semidirect
355. #390	C₂³	semidirect
356. #390	C₂³	semidirect
357. #390	C₂³	semidirect
358. #390	C₂³	semidirect
359. #390	C₂³	semidirect
360. #390	C₂³	semidirect
361. #390	C₂³	semidirect
362. #390	C₂³	semidirect
363. #390	C₂³	semidirect
364. #390	C₂³	semidirect
365. #390	C₂³	semidirect
366. #390	C₂³	semidirect
367. #390	C₂³	semidirect
368. #390	C₂³	semidirect
369. #390	C₂³	semidirect
370. #389	C₂³	semidirect
371. #389	C₂³	semidirect
372. #389	C₂³	semidirect
373. #389	C₂³	semidirect
374. #389	C₂³	semidirect
375. #389	C₂³	semidirect
376. #388	C₂³	semidirect
377. #388	C₂³	semidirect
378. #388	C₂³	semidirect
379. #388	C₂³	semidirect
380. #388	C₂³	semidirect
381. #388	C₂³	semidirect
382. #388	C₂³	semidirect
383. #388	C₂³	semidirect
384. #388	C₂³	semidirect
385. #388	C₂³	semidirect
386. #388	C₂³	semidirect
387. #388	C₂³	semidirect
388. #387	C₂³	semidirect
389. #387	C₂³	semidirect
390. #387	C₂³	semidirect
396. #386	C₂³	semidirect
397. #386	C₂³	semidirect
398. #386	C₂³	semidirect
399. #386	C₂³	semidirect
400. #386	C₂³	semidirect
401. #386	C₂³	semidirect
402. #386	C₂³	semidirect
403. #386	C₂³	semidirect
404. #386	C₂³	semidirect
405. #386	C₂³	semidirect
406. #386	C₂³	semidirect
407. #386	C₂³	semidirect
408. #386	C₂³	semidirect
409. #386	C₂³	semidirect
410. #386	C₂³	semidirect
411. #386	C₂³	semidirect
412. #386	C₂³	semidirect
413. #386	C₂³	semidirect
414. #386	C₂³	semidirect
415. #386	C₂³	semidirect
416. #386	C₂³	semidirect
417. #386	C₂³	semidirect
418. #386	C₂³	semidirect
422. #385	C₂³	semidirect
423. #385	C₂³	semidirect
424. #385	C₂³	semidirect
425. #385	C₂³	semidirect
426. #385	C₂³	semidirect
427. #385	C₂³	semidirect
428. #385	C₂³	semidirect
429. #385	C₂³	semidirect
430. #384	C₂³	semidirect
431. #382	C₂³	semidirect
432. #382	C₂³	semidirect
433. #381	C₂³	semidirect
434. #381	C₂³	semidirect
435. #381	C₂³	semidirect
439. #380	C₂³	semidirect
440. #380	C₂³	semidirect
441. #380	C₂³	semidirect
442. #380	C₂³	semidirect
443. #380	C₂³	semidirect
444. #380	C₂³	semidirect
445. #380	C₂³	semidirect
446. #380	C₂³	semidirect
447. #380	C₂³	semidirect
453. #379	C₂³	semidirect
454. #379	C₂³	semidirect
455. #379	C₂³	semidirect
456. #379	C₂³	semidirect
457. #379	C₂³	semidirect
458. #379	C₂³	semidirect
459. #379	C₂³	semidirect
460. C₄×C₄⋊C₄	C₂³	semidirect
461. C₄×C₄⋊C₄	C₂³	semidirect
462. C₄×C₄⋊C₄	C₂³	semidirect
463. C₄×C₄⋊C₄	C₂³	semidirect
464. C₄×C₄⋊C₄	C₂³	semidirect
465. C₄×C₄⋊C₄	C₂³	semidirect
471. C₄×C₂²⋊C₄	C₂³	semidirect
472. C₄×C₂²⋊C₄	C₂³	semidirect
473. C₄×C₂²⋊C₄	C₂³	semidirect
474. C₄×C₂²⋊C₄	C₂³	semidirect
475. C₄×C₂²⋊C₄	C₂³	semidirect
476. C₄×C₂²⋊C₄	C₂³	semidirect
477. C₄×C₂²⋊C₄	C₂³	semidirect
478. C₄×C₂²⋊C₄	C₂³	semidirect
479. C₄×C₂²⋊C₄	C₂³	semidirect
480. C₄×C₂²⋊C₄	C₂³	semidirect
481. C₄×C₂²⋊C₄	C₂³	semidirect
482. C₂×#95	C₂³	semidirect
483. C₂×#95	C₂³	semidirect
484. C₂×#95	C₂³	semidirect
485. C₄³	C₂³	semidirect
534. C₂²×D₄	#41	semidirect
1140. D₄	#546	semidirect
1246. C₂²	#3481	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3481	2
C₂²×D₄²	2
#59802	2
#59420	2
#59408	2
#59143	2
#59089	2
#59041	2
#59030	2
#59013	2
#59006	2
#36289	2
#36258	2
#36236	2
#36214	2
#36154	2
#36152	2
#36121	2
#36107	2
#36098	2
C₄×#546	2
C₄×D₄²	2
C₂×D₄×C₂²⋊C₄	2