Subgroups — #7682662

Order 512.

8906 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#3484	C₂	1	1	yes	maximal, characteristic
3	#59420	C₂	1	4	yes	maximal, complemented
4	#59416	C₂	1	4	yes	maximal, complemented
5	#59103	C₂	1	4	yes	maximal, complemented
6	#59030	C₂	1	4	yes	maximal, complemented
7	#59006	C₂	1	8	yes	maximal, complemented
8	#45140	C₂	1	4	yes	maximal, complemented
9	#45108	C₂	1	4	yes	maximal, complemented
10	#45084	C₂	1	4	yes	maximal, complemented
11	#44874	C₂	1	4	yes	maximal, complemented
12	#43016	C₂	1	8	yes	maximal, complemented
13	#35661	C₂	1	1	yes	maximal, characteristic, complemented
14	#35633	C₂	1	1	yes	maximal, characteristic, complemented
15	#35617	C₂	1	1	yes	maximal, characteristic, complemented
16	#35616	C₂	1	1	yes	maximal, characteristic, complemented
17	#35541	C₂	1	1	yes	maximal, characteristic, complemented
18	#35515	C₂	1	1	yes	maximal, characteristic, complemented
19	#34813	C₂	1	1	yes	maximal, characteristic, complemented
20	#34742	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2435	C₂	1	1	yes	maximal, characteristic, complemented
22	#34275	C₂	1	1	yes	maximal, characteristic, complemented
23	#34258	C₂	1	1	yes	maximal, characteristic, complemented
24	#34211	C₂	1	1	yes	maximal, characteristic, complemented
25	#34171	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂²×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
27	C₂⁴×D₄	C₂²	1	1	yes	characteristic
28	#3510	—	2	16	no	—
29	#3484	—	2	16	no	—
30	C₂×#559	C₂²	1	4	yes	complemented
31	C₂×#556	C₂²	1	4	yes	complemented
32	C₂×#551	C₂²	1	8	yes	complemented
33	C₂×#546	C₂²	1	4	yes	—
34	C₂×#546	C₂²	1	4	yes	—
35	C₂×D₄²	C₂²	1	4	yes	—
36	C₂×D₄²	C₂²	1	4	yes	—
37	C₂×#542	C₂²	1	4	yes	complemented
38	C₂×#536	C₂²	1	1	yes	characteristic, complemented
39	C₂×#536	C₂²	1	1	yes	characteristic, complemented
40	C₂×#535	C₂²	1	1	yes	characteristic
41	C₂×#535	C₂²	1	1	yes	characteristic
42	C₂×#534	C₂²	1	4	yes	—
43	C₂×#533	C₂²	1	1	yes	characteristic, complemented
44	C₂×#529	C₂²	1	4	yes	complemented
45	C₂²×#124	C₂²	1	1	yes	characteristic
46	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
47	C₂×#525	C₂²	1	1	yes	characteristic
48	C₂×#525	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#120	C₂²	1	4	yes	—
51	C₂×#520	C₂²	1	1	yes	characteristic, complemented
52	C₂×#519	C₂²	1	1	yes	characteristic, complemented
53	C₂×#518	C₂²	1	1	yes	characteristic
54	C₂×#518	C₂²	1	1	yes	characteristic, complemented
55	C₂×#518	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
57	#2708	C₂²	1	8	yes	complemented
58	#2708	C₂²	1	8	yes	complemented
59	#2697	C₂²	1	8	yes	complemented
60	#2697	C₂²	1	8	yes	complemented
61	#2695	C₂²	1	8	yes	complemented
62	#2691	C₂²	1	8	yes	complemented
63	#2687	C₂²	1	8	yes	complemented
64	#2685	C₂²	1	8	yes	complemented
65	#2685	C₂²	1	8	yes	complemented
66	#2684	C₂²	1	8	yes	complemented
67	#2684	C₂²	1	8	yes	complemented
68	#2681	C₂²	1	8	yes	complemented
69	#2580	C₂²	1	4	yes	complemented
70	#2559	C₂²	1	8	yes	complemented
71	#2553	C₂²	1	8	yes	complemented
72	#2547	C₂²	1	2	yes	complemented
73	#2547	C₂²	1	2	yes	complemented
74	#2544	C₂²	1	2	yes	complemented
75	#2544	C₂²	1	2	yes	complemented
76	#2538	C₂²	1	4	yes	complemented
77	#2538	C₂²	1	4	yes	complemented
78	#2536	C₂²	1	4	yes	complemented
79	#2534	C₂²	1	4	yes	complemented
80	#2534	C₂²	1	8	yes	complemented
81	#2534	C₂²	1	8	yes	complemented
82	#2492	C₂²	1	2	yes	complemented
83	#2491	C₂²	1	2	yes	complemented
84	#2490	C₂²	1	2	yes	complemented
85	#2489	C₂²	1	2	yes	complemented
86	#2488	C₂²	1	4	yes	complemented
87	#2486	C₂²	1	4	yes	complemented
88	#2480	C₂²	1	8	yes	complemented
89	#2480	C₂²	1	8	yes	complemented
90	#2476	C₂²	1	8	yes	complemented
91	#2472	C₂²	1	4	yes	complemented
92	#2472	C₂²	1	8	yes	complemented
93	#2470	C₂²	1	8	yes	complemented
94	#2454	C₂²	1	4	yes	complemented
95	#2452	C₂²	1	4	yes	complemented
96	#2447	C₂²	1	4	yes	complemented
97	#2445	C₂²	1	4	yes	complemented
98	#2437	C₂²	1	8	yes	complemented
99	#2437	C₂²	1	8	yes	complemented
100	#2435	C₂²	1	4	yes	complemented
101	#2435	C₂²	1	4	yes	complemented
102	#2435	C₂²	1	4	yes	complemented
103	#2435	C₂²	1	4	yes	complemented
104	#2435	C₂²	1	8	yes	complemented
105	#2435	C₂²	1	2	yes	complemented
106	#2435	C₂²	1	4	yes	complemented
107	#2435	C₂²	1	2	yes	complemented
108	#2432	C₂²	1	2	yes	complemented
109	#2432	C₂²	1	2	yes	complemented
110	#2432	C₂²	1	4	yes	complemented
111	#2429	C₂²	1	4	yes	complemented
112	#2429	C₂²	1	4	yes	complemented
113	#2427	C₂²	1	4	yes	complemented
114	#2427	C₂²	1	4	yes	complemented
115	#2427	C₂²	1	4	yes	complemented
116	#2427	C₂²	1	8	yes	complemented
117	#2426	C₂²	1	4	yes	complemented
118	#2423	C₂²	1	2	yes	complemented
119	#2422	C₂²	1	4	yes	complemented
120	#2422	C₂²	1	2	yes	complemented
121	#2421	C₂²	1	2	yes	complemented
122	#2420	C₂²	1	4	yes	complemented
123	#2420	C₂²	1	2	yes	complemented
124	#2420	C₂²	1	8	yes	complemented
125	#2419	C₂²	1	4	yes	complemented
126	#2418	C₂²	1	4	yes	complemented
127	#2418	C₂²	1	8	yes	complemented
128	#2418	C₂²	1	8	yes	complemented
129	#2417	C₂²	1	4	yes	complemented
130	#2415	C₂²	1	4	yes	complemented
131	#2413	C₂²	1	4	yes	complemented
132	#2412	C₂²	1	8	yes	complemented
133	#2412	C₂²	1	8	yes	complemented
134	#2411	C₂²	1	4	yes	complemented
135	#2411	C₂²	1	8	yes	complemented
136	#2405	C₂²	1	8	yes	complemented
137	#2405	C₂²	1	8	yes	complemented
138	#2405	C₂²	1	8	yes	complemented
139	#2398	C₂²	1	4	yes	complemented
140	#2395	C₂²	1	4	yes	complemented
141	C₂×#394	C₂²	1	4	yes	complemented
142	#2367	C₂²	1	4	yes	complemented
143	#2367	C₂²	1	4	yes	complemented
144	#2363	C₂²	1	4	yes	complemented
145	#2361	C₂²	1	4	yes	complemented
146	#2358	C₂²	1	8	yes	complemented
147	#2342	C₂²	1	8	yes	complemented
148	#2342	C₂²	1	8	yes	complemented
149	#2341	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	4	yes	complemented
154	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
155	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
156	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
157	#2328	C₂²	1	2	yes	complemented
158	#2326	C₂²	1	2	yes	complemented
159	#2326	C₂²	1	4	yes	complemented
160	#2317	C₂²	1	1	yes	characteristic, complemented
161	#2316	C₂²	1	1	yes	characteristic, complemented
162	#2311	C₂²	1	1	yes	characteristic, complemented
163	#2311	C₂²	1	2	yes	complemented
164	#2310	C₂²	1	1	yes	characteristic, complemented
165	#2309	C₂²	1	1	yes	characteristic
166	#2309	C₂²	1	1	yes	characteristic
167	#2309	C₂²	1	2	yes	complemented
168	#2308	C₂²	1	4	yes	complemented
169	C₄×#127	C₂²	1	2	yes	complemented
170	C₄×#124	C₂²	1	4	yes	complemented
171	C₄×#124	C₂²	1	2	yes	complemented
172	C₄×#124	C₂²	1	4	yes	complemented
173	C₄×#123	C₂²	1	4	yes	complemented
174	#2297	C₂²	1	1	yes	characteristic, complemented
175	#2297	C₂²	1	1	yes	characteristic, complemented
176	#2297	C₂²	1	1	yes	characteristic, complemented
177	#2297	C₂²	1	2	yes	complemented
178	#2296	C₂²	1	1	yes	characteristic, complemented
179	C₂×#390	C₂²	1	1	yes	characteristic
180	C₂×#390	C₂²	1	1	yes	characteristic, complemented
181	C₂×#390	C₂²	1	2	yes	complemented
182	#2285	C₂²	1	1	yes	characteristic, complemented
183	#2280	C₂²	1	1	yes	characteristic, complemented
184	#2280	C₂²	1	1	yes	characteristic, complemented
185	C₂×#379	C₂²	1	4	yes	complemented
186	C₂×#379	C₂²	1	4	yes	complemented
187	C₄×#117	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂⁶	C₂³	1	2	yes	—
190	C₂×H(5,𝔽₂)	—	2	8	no	—
191	C₂×H(5,𝔽₂)	—	2	8	no	—
192	C₂×H(5,𝔽₂)	—	4	4	no	—
193	C₂²×#41	C₂³	1	1	yes	characteristic
194	C₂²×#41	C₂³	1	2	yes	—
195	C₂²×#41	C₂³	1	2	yes	—
196	C₂²×#41	C₂³	1	1	yes	characteristic
197	C₂³×Q₈	C₂³	1	1	yes	characteristic
198	C₂³×D₄	—	2	8	no	—
199	C₂³×D₄	—	2	8	no	—
200	C₂³×D₄	—	4	4	no	—
201	C₂³×D₄	C₂³	1	2	yes	—
202	C₂³×D₄	C₂³	1	4	yes	—
203	C₂³×D₄	C₂³	1	4	yes	—
204	C₂³×D₄	C₂³	1	2	yes	—
205	C₂³×D₄	C₂³	1	4	yes	—
206	C₂³×D₄	C₂³	1	2	yes	—
207	C₂³×D₄	C₂³	1	1	yes	characteristic
208	C₂³×D₄	C₂³	1	1	yes	characteristic
209	C₂³×D₄	C₂³	1	8	yes	—
210	C₂⁴×C₄	C₂³	1	1	yes	characteristic
211	#559	—	2	32	no	—
212	#556	—	2	32	no	—
213	#551	—	2	64	no	—
214	#546	—	2	32	no	—
215	#546	—	2	32	no	—
216	D₄²	—	2	32	no	—
217	D₄²	—	2	32	no	—
218	#542	—	2	32	no	—
219	#536	—	2	8	no	—
220	#536	—	4	4	no	—
221	#535	—	2	8	no	—
222	#535	D₄	1	16	yes	—
223	#534	—	2	32	no	—
224	#533	—	2	8	no	—
225	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
226	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
227	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
228	C₂×#127	C₂³	1	2	yes	—
229	C₂×#127	C₂³	1	2	yes	—
230	#529	—	2	32	no	—
231	C₂×#126	C₂³	1	8	yes	complemented
232	C₂×#126	C₂³	1	8	yes	complemented
233	C₂×#125	C₂³	1	2	yes	complemented
234	C₂×#124	—	2	8	no	—
235	C₂×#124	—	2	8	no	—
236	C₂×#124	C₂³	1	2	yes	—
237	C₂×#124	C₂³	1	4	yes	—
238	C₂×#124	C₂³	1	2	yes	—
239	C₂×#124	C₂³	1	2	yes	—
240	C₂×#124	C₂³	1	4	yes	—
241	C₂×#124	C₂³	1	2	yes	—
242	C₂×#124	C₂³	1	2	yes	—
243	C₂×#124	C₂³	1	4	yes	—
244	C₂×#124	C₂³	1	2	yes	—
245	C₂×#124	C₂³	1	2	yes	complemented
246	C₂×#124	C₂³	1	8	yes	complemented
247	C₂×#124	C₂³	1	2	yes	complemented
248	#525	—	2	8	no	—
249	#525	—	2	8	no	—
250	C₂×#123	C₂³	1	4	yes	—
251	C₂×#123	C₂³	1	2	yes	—
252	C₂×#123	C₂³	1	2	yes	—
253	C₂×#123	C₂³	1	8	yes	—
254	C₂×#123	C₂³	1	4	yes	—
255	C₂×#123	C₂³	1	4	yes	—
256	C₂×#123	C₂³	1	8	yes	complemented
257	C₂×#123	C₂³	1	8	yes	complemented
258	C₂×#123	C₂³	1	8	yes	complemented
259	C₂×C₂²⋊Q₈	—	4	4	no	—
260	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
261	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
262	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
263	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
264	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
265	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
266	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
267	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
268	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
269	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
270	C₂×#121	C₂³	1	2	yes	—
271	C₂×#121	C₂³	1	2	yes	—
272	C₂×#121	C₂³	1	8	yes	—
273	C₂×#121	C₂³	1	4	yes	—
274	C₂×#121	C₂³	1	8	yes	—
275	C₂×#121	C₂³	1	4	yes	—
276	C₂×#120	—	2	32	no	—
277	C₂×#120	C₂³	1	2	yes	—
278	C₂×#120	C₂³	1	2	yes	—
279	C₂×#120	C₂³	1	8	yes	—
280	C₂×#120	C₂³	1	4	yes	—
281	C₂×#120	C₂³	1	8	yes	—
282	C₂×#120	C₂³	1	8	yes	—
283	C₂×#120	C₂³	1	4	yes	—
284	#520	—	4	4	no	—
285	#519	—	2	8	no	—
286	#518	—	2	8	no	—
287	#518	—	2	8	no	—
288	#518	—	4	4	no	—
289	C₄×#41	—	2	8	no	—
290	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
291	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
292	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
293	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
294	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
295	C₂×C₄×D₄	C₂³	1	4	yes	—
296	C₂×C₄×D₄	C₂³	1	4	yes	—
297	C₂×C₄×D₄	C₂³	1	4	yes	—
298	C₂×C₄×D₄	C₂³	1	4	yes	—
299	C₂×C₄×D₄	C₂³	1	4	yes	—
300	C₂×C₄×D₄	C₂³	1	4	yes	—
301	C₂×C₄×D₄	C₂³	1	4	yes	—
302	C₂×C₄×D₄	C₂³	1	2	yes	—
303	C₂×C₄×D₄	C₂³	1	2	yes	—
304	C₂×C₄×D₄	C₂³	1	4	yes	—
305	C₂×C₄×D₄	C₂³	1	2	yes	—
306	C₂×C₄×D₄	C₂³	1	2	yes	—
307	C₂×C₄×D₄	C₂³	1	2	yes	complemented
308	C₂×C₄×D₄	C₂³	1	8	yes	complemented
309	C₂×C₄×D₄	C₂³	1	2	yes	complemented
310	C₂×C₄×D₄	C₂³	1	8	yes	complemented
311	C₂×#117	C₂³	1	1	yes	characteristic
312	C₂×#117	C₂³	1	1	yes	characteristic
313	C₂×#117	C₂³	1	1	yes	characteristic
314	C₂×#117	C₂³	1	1	yes	characteristic
315	C₂×#117	C₂³	1	1	yes	characteristic
316	C₂×#117	C₂³	1	4	yes	—
317	C₂×#117	C₂³	1	1	yes	characteristic
318	C₂×#117	C₂³	1	2	yes	complemented
319	C₂×#117	C₂³	1	8	yes	complemented
320	C₂×#117	C₂³	1	2	yes	complemented
321	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
323	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
324	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
332	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
334	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
335	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
336	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
337	C₂²×C₄²	C₂³	1	1	yes	characteristic
338	C₂²×C₄²	C₂³	1	1	yes	characteristic
339	C₂²×C₄²	C₂³	1	2	yes	complemented
340	#400	C₂³	1	4	yes	complemented
341	#400	C₂³	1	4	yes	complemented
342	#400	C₂³	1	4	yes	complemented
343	#399	C₂³	1	4	yes	—
344	#399	C₂³	1	8	yes	complemented
345	#398	C₂³	1	4	yes	complemented
346	#398	C₂³	1	8	yes	complemented
347	#398	C₂³	1	8	yes	complemented
348	#397	C₂³	1	4	yes	—
349	#397	C₂³	1	4	yes	—
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	4	yes	complemented
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	8	yes	complemented
354	#397	C₂³	1	8	yes	complemented
355	#397	C₂³	1	8	yes	complemented
356	#397	C₂³	1	8	yes	complemented
357	#397	C₂³	1	8	yes	complemented
358	#396	C₂³	1	8	yes	—
359	#396	C₂³	1	8	yes	—
360	#396	C₂³	1	8	yes	complemented
361	#396	C₂³	1	8	yes	complemented
362	#396	C₂³	1	8	yes	complemented
363	#394	C₂³	1	8	yes	—
364	#394	C₂³	1	8	yes	—
365	#394	C₂³	1	8	yes	—
366	#394	C₂³	1	8	yes	—
367	#394	C₂³	1	4	yes	—
368	#394	C₂³	1	4	yes	—
369	#394	C₂³	1	4	yes	—
370	#394	C₂³	1	4	yes	—
371	#394	C₂³	1	8	yes	—
372	#394	C₂³	1	8	yes	—
373	#394	C₂³	1	8	yes	complemented
374	#394	C₂³	1	8	yes	complemented
375	#394	C₂³	1	8	yes	complemented
376	#394	C₂³	1	8	yes	complemented
377	#394	C₂³	1	8	yes	complemented
378	#394	C₂³	1	8	yes	complemented
379	#394	C₂³	1	8	yes	complemented
380	#394	C₂³	1	8	yes	complemented
381	#393	C₂³	1	4	yes	—
382	#393	C₂³	1	8	yes	complemented
383	#393	C₂³	1	4	yes	complemented
384	#391	C₂³	1	4	yes	complemented
385	#391	C₂³	1	2	yes	complemented
386	#391	C₂³	1	2	yes	complemented
387	#391	C₂³	1	2	yes	complemented
388	#391	C₂³	1	1	yes	characteristic, complemented
389	#391	C₂³	1	1	yes	characteristic, complemented
390	#391	C₂³	1	1	yes	characteristic, complemented
391	#391	C₂³	1	4	yes	complemented
392	#391	C₂³	1	2	yes	complemented
393	#391	C₂³	1	1	yes	characteristic, complemented
394	#390	C₂³	1	2	yes	—
395	#390	C₂³	1	2	yes	—
396	#390	C₂³	1	2	yes	—
397	#390	C₂³	1	2	yes	—
398	#390	C₂³	1	4	yes	—
399	#390	C₂³	1	4	yes	—
400	#390	C₂³	1	2	yes	—
401	#390	C₂³	1	2	yes	—
402	#390	C₂³	1	4	yes	—
403	#390	C₂³	1	2	yes	—
404	#390	C₂³	1	4	yes	—
405	#390	C₂³	1	8	yes	—
406	#390	C₂³	1	4	yes	—
407	#390	C₂³	1	2	yes	—
408	#390	C₂³	1	1	yes	characteristic, complemented
409	#390	C₂³	1	8	yes	complemented
410	#390	C₂³	1	1	yes	characteristic, complemented
411	#390	C₂³	1	2	yes	complemented
412	#390	C₂³	1	8	yes	complemented
413	#390	C₂³	1	1	yes	characteristic, complemented
414	#390	C₂³	1	8	yes	complemented
415	#390	C₂³	1	2	yes	complemented
416	#390	C₂³	1	1	yes	characteristic, complemented
417	#389	C₂³	1	4	yes	complemented
418	#389	C₂³	1	4	yes	complemented
419	#389	C₂³	1	4	yes	complemented
420	#389	C₂³	1	2	yes	complemented
421	#389	C₂³	1	8	yes	complemented
422	#389	C₂³	1	8	yes	complemented
423	#389	C₂³	1	2	yes	complemented
424	#388	C₂³	1	4	yes	—
425	#388	C₂³	1	4	yes	—
426	#388	C₂³	1	8	yes	—
427	#388	C₂³	1	8	yes	—
428	#388	C₂³	1	4	yes	—
429	#388	C₂³	1	4	yes	—
430	#388	C₂³	1	8	yes	complemented
431	#388	C₂³	1	8	yes	complemented
432	#388	C₂³	1	8	yes	complemented
433	#388	C₂³	1	8	yes	complemented
434	#388	C₂³	1	8	yes	complemented
435	#388	C₂³	1	8	yes	complemented
436	#388	C₂³	1	8	yes	complemented
437	#388	C₂³	1	4	yes	complemented
438	#388	C₂³	1	4	yes	complemented
439	#387	C₂³	1	4	yes	complemented
440	#387	C₂³	1	4	yes	complemented
441	#386	C₂³	1	8	yes	—
442	#386	C₂³	1	8	yes	—
443	#386	C₂³	1	8	yes	—
444	#386	C₂³	1	8	yes	—
445	#386	C₂³	1	4	yes	—
446	#386	C₂³	1	4	yes	—
447	#386	C₂³	1	4	yes	—
448	#386	C₂³	1	8	yes	—
449	#386	C₂³	1	4	yes	—
450	#386	C₂³	1	4	yes	—
451	#386	C₂³	1	8	yes	complemented
452	#386	C₂³	1	8	yes	complemented
453	#386	C₂³	1	8	yes	complemented
454	#386	C₂³	1	8	yes	complemented
455	#386	C₂³	1	8	yes	complemented
456	#386	C₂³	1	8	yes	complemented
457	#386	C₂³	1	8	yes	complemented
458	#385	C₂³	1	4	yes	—
459	#385	C₂³	1	4	yes	—
460	#385	C₂³	1	8	yes	complemented
461	#385	C₂³	1	8	yes	complemented
462	#385	C₂³	1	8	yes	complemented
463	#385	C₂³	1	8	yes	complemented
464	#385	C₂³	1	8	yes	complemented
465	#385	C₂³	1	8	yes	complemented
466	#385	C₂³	1	8	yes	complemented
467	#385	C₂³	1	8	yes	complemented
468	#385	C₂³	1	4	yes	complemented
469	#384	C₂³	1	2	yes	complemented
470	#384	C₂³	1	2	yes	complemented
471	#382	C₂³	1	2	yes	complemented
472	#382	C₂³	1	2	yes	complemented
473	#382	C₂³	1	4	yes	complemented
474	#381	C₂³	1	2	yes	—
475	#381	C₂³	1	2	yes	—
476	#381	C₂³	1	4	yes	—
477	#381	C₂³	1	8	yes	complemented
478	#381	C₂³	1	4	yes	complemented
479	#380	C₂³	1	4	yes	—
480	#380	C₂³	1	2	yes	—
481	#380	C₂³	1	2	yes	—
482	#380	C₂³	1	2	yes	—
483	#380	C₂³	1	2	yes	—
484	#380	C₂³	1	4	yes	—
485	#380	C₂³	1	4	yes	complemented
486	#380	C₂³	1	8	yes	complemented
487	#380	C₂³	1	8	yes	complemented
488	#380	C₂³	1	8	yes	complemented
489	#380	C₂³	1	8	yes	complemented
490	#380	C₂³	1	8	yes	complemented
491	#379	C₂³	1	4	yes	—
492	#379	C₂³	1	4	yes	—
493	#379	C₂³	1	8	yes	—
494	#379	C₂³	1	8	yes	—
495	#379	C₂³	1	8	yes	—
496	#379	C₂³	1	8	yes	—
497	#379	C₂³	1	8	yes	—
498	#379	C₂³	1	2	yes	—
499	#379	C₂³	1	8	yes	—
500	#379	C₂³	1	2	yes	—
501	#379	C₂³	1	8	yes	complemented
502	#379	C₂³	1	8	yes	complemented
503	#379	C₂³	1	8	yes	complemented
504	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
505	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
506	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
507	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
508	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
509	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
510	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
511	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
512	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
513	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
514	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
515	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
516	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
517	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
518	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
519	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
520	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
521	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
522	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
523	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
524	#376	C₂³	1	2	yes	complemented
525	C₂×#95	C₂³	1	2	yes	—
526	C₄³	C₂³	1	2	yes	complemented
527	C₂⁵	—	2	8	no	—
528	C₂⁵	—	2	8	no	—
529	C₂⁵	—	4	4	no	—
530	C₂⁵	—	4	8	no	—
531	C₂⁵	—	8	4	no	—
532	C₂⁵	C₂⁴	1	1	yes	characteristic
533	C₂⁵	C₂⁴	1	8	yes	—
534	C₂⁵	C₂⁴	1	4	yes	—
535	C₂⁵	C₂⁴	1	2	yes	—
536	C₂⁵	C₂⁴	1	2	yes	—
537	H(5,𝔽₂)	—	4	64	no	—
538	C₂×#41	—	2	8	no	—
539	C₂×#41	—	2	8	no	—
540	C₂×#41	—	2	8	no	—
541	C₂×#41	—	2	4	no	—
542	C₂×#41	—	2	8	no	—
543	C₂×#41	—	2	4	no	—
544	C₂×#41	—	2	4	no	—
545	C₂×#41	—	2	4	no	—
546	C₂×#41	—	2	4	no	—
547	C₂×#41	—	4	4	no	—
548	C₂×#41	—	4	4	no	—
549	C₂×#41	C₂×D₄	1	8	yes	—
550	C₂²×Q₈	—	2	4	no	—
551	C₂²×Q₈	—	2	4	no	—
552	C₂²×Q₈	—	2	4	no	—
553	C₂²×Q₈	C₂⁴	1	2	yes	—
554	C₂²×Q₈	C₂⁴	1	2	yes	—
555	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
556	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
557	C₂²×Q₈	C₂⁴	1	4	yes	—
558	C₂²×D₄	—	2	8	no	—
559	C₂²×D₄	—	2	8	no	—
560	C₂²×D₄	—	2	16	no	—
561	C₂²×D₄	—	2	16	no	—
562	C₂²×D₄	—	2	8	no	—
563	C₂²×D₄	—	2	16	no	—
564	C₂²×D₄	—	2	16	no	—
565	C₂²×D₄	—	2	16	no	—
566	C₂²×D₄	—	2	16	no	—
567	C₂²×D₄	—	2	8	no	—
568	C₂²×D₄	—	2	8	no	—
569	C₂²×D₄	—	2	32	no	—
570	C₂²×D₄	—	2	4	no	—
571	C₂²×D₄	—	2	8	no	—
572	C₂²×D₄	—	2	4	no	—
573	C₂²×D₄	—	2	4	no	—
574	C₂²×D₄	—	2	4	no	—
575	C₂²×D₄	—	4	8	no	—
576	C₂²×D₄	—	4	8	no	—
577	C₂²×D₄	—	4	4	no	—
578	C₂²×D₄	—	4	4	no	—
579	C₂²×D₄	—	4	4	no	—
580	C₂²×D₄	—	4	8	no	—
581	C₂²×D₄	—	4	64	no	—
582	C₂²×D₄	—	4	16	no	—
583	C₂²×D₄	—	8	8	no	—
584	C₂²×D₄	C₂×D₄	1	8	yes	—
585	C₂²×D₄	#41	1	8	yes	—
586	C₂²×D₄	C₂⁴	1	2	yes	—
587	C₂²×D₄	C₂⁴	1	1	yes	characteristic
588	C₂²×D₄	C₂⁴	1	4	yes	—
589	C₂²×D₄	C₂⁴	1	4	yes	—
590	C₂²×D₄	C₂⁴	1	4	yes	—
591	C₂²×D₄	C₂⁴	1	4	yes	—
592	C₂²×D₄	C₂⁴	1	8	yes	—
593	C₂²×D₄	C₂⁴	1	2	yes	—
594	C₂²×D₄	C₂⁴	1	2	yes	—
595	C₂²×D₄	C₂⁴	1	2	yes	—
596	C₂²×D₄	C₂⁴	1	1	yes	characteristic
597	C₂²×D₄	C₂⁴	1	2	yes	—
598	C₂²×D₄	C₂⁴	1	2	yes	—
599	C₂²×D₄	C₂⁴	1	8	yes	—
600	C₂²×D₄	C₂⁴	1	8	yes	—
601	C₂³×C₄	—	2	4	no	—
602	C₂³×C₄	—	2	4	no	—
603	C₂³×C₄	—	2	4	no	—
604	C₂³×C₄	C₂⁴	1	2	yes	—
605	C₂³×C₄	C₂⁴	1	1	yes	characteristic
606	C₂³×C₄	C₂⁴	1	2	yes	—
607	C₂³×C₄	C₂⁴	1	2	yes	—
608	C₂³×C₄	C₂⁴	1	2	yes	—
609	C₂³×C₄	C₂⁴	1	4	yes	—
610	C₂³×C₄	C₂⁴	1	2	yes	—
611	C₂³×C₄	C₂⁴	1	2	yes	—
612	C₂³×C₄	C₂⁴	1	2	yes	—
613	C₂³×C₄	C₂⁴	1	2	yes	—
614	C₂³×C₄	C₂⁴	1	8	yes	—
615	C₂³×C₄	C₂⁴	1	8	yes	—
616	C₂³×C₄	C₂⁴	1	4	yes	—
617	C₂³×C₄	C₂⁴	1	4	yes	—
618	C₂³×C₄	C₂⁴	1	4	yes	—
619	C₂³×C₄	C₂⁴	1	4	yes	—
620	C₂³×C₄	C₂⁴	1	1	yes	characteristic
621	C₄⋊Q₈	—	2	8	no	—
622	C₄⋊Q₈	—	2	8	no	—
623	C₄⋊Q₈	—	4	4	no	—
624	#127	—	2	8	no	—
625	#127	C₂×D₄	1	16	yes	—
626	#126	—	2	32	no	—
627	#126	—	2	32	no	—
628	#125	—	2	8	no	—
629	#124	—	2	8	no	—
630	#124	—	2	8	no	—
631	#124	—	2	16	no	—
632	#124	—	2	8	no	—
633	#124	—	2	8	no	—
634	#124	—	2	32	no	—
635	#124	—	2	8	no	—
636	#124	—	2	16	no	—
637	#124	—	2	8	no	—
638	#124	—	4	4	no	—
639	#124	—	4	8	no	—
640	#124	C₂×D₄	1	16	yes	—
641	#123	—	2	8	no	—
642	#123	—	2	16	no	—
643	#123	—	2	32	no	—
644	#123	—	2	32	no	—
645	#123	—	2	8	no	—
646	#123	—	2	32	no	—
647	#123	—	4	8	no	—
648	#123	—	4	8	no	—
649	#123	—	8	8	no	—
650	C₂²⋊Q₈	—	2	8	no	—
651	C₂²⋊Q₈	—	2	16	no	—
652	C₂²⋊Q₈	—	2	8	no	—
653	C₂²⋊Q₈	—	2	16	no	—
654	C₂²⋊Q₈	—	2	32	no	—
655	C₂²⋊Q₈	—	4	8	no	—
656	C₂²⋊Q₈	—	4	8	no	—
657	C₂²⋊Q₈	—	4	4	no	—
658	C₂²⋊Q₈	—	4	4	no	—
659	C₂²⋊Q₈	—	8	8	no	—
660	#121	—	2	8	no	—
661	#121	—	2	32	no	—
662	#121	—	2	16	no	—
663	#121	—	2	8	no	—
664	#121	—	2	32	no	—
665	#121	C₂×D₄	1	32	yes	—
666	#120	—	2	16	no	—
667	#120	—	2	8	no	—
668	#120	—	2	32	no	—
669	#120	—	2	32	no	—
670	#120	—	2	8	no	—
671	#120	—	2	32	no	—
672	#120	C₂×D₄	1	32	yes	—
673	C₄×Q₈	—	2	8	no	—
674	C₄×Q₈	—	2	16	no	—
675	C₄×Q₈	—	2	16	no	—
676	C₄×Q₈	—	2	16	no	—
677	C₄×Q₈	—	4	4	no	—
678	C₄×D₄	—	2	16	no	—
679	C₄×D₄	—	2	16	no	—
680	C₄×D₄	—	2	16	no	—
681	C₄×D₄	—	2	8	no	—
682	C₄×D₄	—	2	32	no	—
683	C₄×D₄	—	2	16	no	—
684	C₄×D₄	—	2	16	no	—
685	C₄×D₄	—	2	16	no	—
686	C₄×D₄	—	2	16	no	—
687	C₄×D₄	—	4	4	no	—
688	C₄×D₄	—	4	4	no	—
689	C₄×D₄	—	4	4	no	—
690	C₄×D₄	—	4	4	no	—
691	C₄×D₄	—	4	4	no	—
692	C₄×D₄	—	4	8	no	—
693	C₄×D₄	—	8	8	no	—
694	#117	—	2	4	no	—
695	#117	—	2	4	no	—
696	#117	—	2	4	no	—
697	#117	—	2	8	no	—
698	#117	—	2	4	no	—
699	#117	—	2	4	no	—
700	#117	—	2	16	no	—
701	#117	—	2	32	no	—
702	#117	—	4	4	no	—
703	#117	C₂×D₄	1	8	yes	—
704	C₂×C₄⋊C₄	—	2	4	no	—
705	C₂×C₄⋊C₄	—	4	4	no	—
706	C₂×C₄⋊C₄	—	4	4	no	—
707	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
708	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
709	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
712	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
713	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
714	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
717	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
719	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
720	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
721	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
722	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
723	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
725	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
726	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
727	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
730	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
731	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
732	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
735	C₂×C₂²⋊C₄	—	2	16	no	—
736	C₂×C₂²⋊C₄	—	2	16	no	—
737	C₂×C₂²⋊C₄	—	2	16	no	—
738	C₂×C₂²⋊C₄	—	2	16	no	—
739	C₂×C₂²⋊C₄	—	2	32	no	—
740	C₂×C₂²⋊C₄	—	4	16	no	—
741	C₂×C₂²⋊C₄	—	4	4	no	—
742	C₂×C₂²⋊C₄	—	4	8	no	—
743	C₂×C₂²⋊C₄	—	4	4	no	—
744	C₂×C₂²⋊C₄	—	8	8	no	—
745	C₂×C₂²⋊C₄	—	8	4	no	—
746	C₂×C₂²⋊C₄	—	8	4	no	—
747	C₂×C₂²⋊C₄	—	8	8	no	—
748	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
757	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
758	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
759	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
760	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
761	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
762	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
781	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
785	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
797	C₂×C₄²	—	2	4	no	—
798	C₂×C₄²	—	2	8	no	—
799	C₂×C₄²	—	2	4	no	—
800	C₂×C₄²	C₂⁴	1	2	yes	—
801	C₂×C₄²	C₂⁴	1	8	yes	—
802	C₂×C₄²	C₂⁴	1	2	yes	—
803	C₂×C₄²	C₂⁴	1	2	yes	—
804	C₂×C₄²	C₂⁴	1	2	yes	—
805	C₂×C₄²	C₂⁴	1	2	yes	—
806	C₂×C₄²	C₂⁴	1	4	yes	—
807	C₂×C₄²	C₂⁴	1	1	yes	characteristic
808	C₂×C₄²	C₂⁴	1	2	yes	—
809	C₂×C₄²	C₂⁴	1	1	yes	characteristic
810	C₂×C₄²	C₂⁴	1	1	yes	characteristic
811	C₂×C₄²	C₂⁴	1	1	yes	characteristic
812	C₂×C₄²	C₂⁴	1	2	yes	—
813	C₂×C₄²	C₂⁴	1	4	yes	—
814	C₂×C₄²	C₂⁴	1	4	yes	—
815	C₂×C₄²	C₂⁴	1	4	yes	—
816	C₂×C₄²	C₂⁴	1	2	yes	—
817	#95	C₂⁴	1	2	yes	—
818	#95	C₂⁴	1	2	yes	—
819	#95	C₂⁴	1	2	yes	—
820	#95	C₂⁴	1	2	yes	—
821	#95	C₂⁴	1	4	yes	—
822	#95	C₂⁴	1	4	yes	—
823	#95	C₂⁴	1	4	yes	—
824	#95	C₂⁴	1	4	yes	—
825	#95	C₂⁴	1	4	yes	—
826	#95	C₂⁴	1	4	yes	—
827	#95	C₂⁴	1	4	yes	—
828	#95	C₂⁴	1	4	yes	—
829	#95	C₂⁴	1	4	yes	—
830	#95	C₂⁴	1	4	yes	—
831	#95	C₂⁴	1	4	yes	—
832	#95	C₂⁴	1	8	yes	—
833	#95	C₂⁴	1	8	yes	—
834	#95	C₂⁴	1	8	yes	—
835	#95	C₂⁴	1	4	yes	—
836	#95	C₂⁴	1	8	yes	—
837	#95	C₂⁴	1	4	yes	—
838	#95	C₂⁴	1	4	yes	—
839	#95	C₂⁴	1	4	yes	—
840	#95	C₂⁴	1	4	yes	—
841	#95	C₂⁴	1	8	yes	—
842	C₂⁴	—	2	2	no	—
843	C₂⁴	—	2	4	no	—
844	C₂⁴	—	2	4	no	—
845	C₂⁴	—	2	4	no	—
846	C₂⁴	—	2	4	no	—
847	C₂⁴	—	2	4	no	—
848	C₂⁴	—	2	2	no	—
849	C₂⁴	—	2	2	no	—
850	C₂⁴	—	2	16	no	—
851	C₂⁴	—	2	16	no	—
852	C₂⁴	—	2	16	no	—
853	C₂⁴	—	2	8	no	—
854	C₂⁴	—	2	8	no	—
855	C₂⁴	—	4	2	no	—
856	C₂⁴	—	4	4	no	—
857	C₂⁴	—	4	4	no	—
858	C₂⁴	—	4	8	no	—
859	C₂⁴	—	4	8	no	—
860	C₂⁴	—	4	8	no	—
861	C₂⁴	—	4	4	no	—
862	C₂⁴	—	4	4	no	—
863	C₂⁴	—	4	4	no	—
864	C₂⁴	—	4	8	no	—
865	C₂⁴	—	4	8	no	—
866	C₂⁴	—	4	8	no	—
867	C₂⁴	—	4	32	no	—
868	C₂⁴	—	8	16	no	—
869	C₂⁴	—	8	32	no	—
870	C₂⁴	—	8	32	no	—
871	C₂⁴	—	8	16	no	—
872	C₂⁴	C₂²×D₄	1	8	yes	—
873	C₂⁴	C₂×#41	1	8	yes	—
874	C₂⁴	C₂⁵	1	2	yes	—
875	C₂⁴	C₂⁵	1	4	yes	—
876	C₂⁴	C₂⁵	1	2	yes	—
877	C₂⁴	C₂⁵	1	4	yes	—
878	C₂⁴	C₂⁵	1	2	yes	—
879	C₂⁴	C₂⁵	1	1	yes	characteristic
880	#41	—	2	32	no	—
881	#41	—	4	32	no	—
882	#41	—	4	32	no	—
883	#41	—	4	16	no	—
884	C₂×Q₈	—	2	4	no	—
885	C₂×Q₈	—	2	4	no	—
886	C₂×Q₈	—	2	2	no	—
887	C₂×Q₈	—	2	8	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	4	no	—
890	C₂×Q₈	—	2	4	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	4	no	—
894	C₂×Q₈	—	2	4	no	—
895	C₂×Q₈	—	2	2	no	—
896	C₂×Q₈	—	4	4	no	—
897	C₂×Q₈	—	4	4	no	—
898	C₂×Q₈	—	4	16	no	—
899	C₂×Q₈	C₂²×D₄	1	4	yes	—
900	C₂×D₄	—	2	4	no	—
901	C₂×D₄	—	2	4	no	—
902	C₂×D₄	—	2	8	no	—
903	C₂×D₄	—	2	4	no	—
904	C₂×D₄	—	2	8	no	—
905	C₂×D₄	—	2	16	no	—
906	C₂×D₄	—	2	16	no	—
907	C₂×D₄	—	2	8	no	—
908	C₂×D₄	—	2	8	no	—
909	C₂×D₄	—	2	4	no	—
910	C₂×D₄	—	2	4	no	—
911	C₂×D₄	—	2	8	no	—
912	C₂×D₄	—	2	8	no	—
913	C₂×D₄	—	2	16	no	—
914	C₂×D₄	—	2	32	no	—
915	C₂×D₄	—	2	32	no	—
916	C₂×D₄	—	2	4	no	—
917	C₂×D₄	—	2	4	no	—
918	C₂×D₄	—	2	8	no	—
919	C₂×D₄	—	2	8	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	4	no	—
922	C₂×D₄	—	2	4	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	4	no	—
926	C₂×D₄	—	2	4	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	4	no	—
929	C₂×D₄	—	2	4	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	4	32	no	—
932	C₂×D₄	—	4	8	no	—
933	C₂×D₄	—	4	8	no	—
934	C₂×D₄	—	4	4	no	—
935	C₂×D₄	—	4	4	no	—
936	C₂×D₄	—	4	8	no	—
937	C₂×D₄	—	4	4	no	—
938	C₂×D₄	—	4	4	no	—
939	C₂×D₄	—	4	8	no	—
940	C₂×D₄	—	4	8	no	—
941	C₂×D₄	—	4	64	no	—
942	C₂×D₄	—	4	64	no	—
943	C₂×D₄	—	4	32	no	—
944	C₂×D₄	—	4	64	no	—
945	C₂×D₄	—	4	32	no	—
946	C₂×D₄	—	8	64	no	—
947	C₂×D₄	C₂²×D₄	1	8	yes	—
948	C₂×D₄	C₂²×D₄	1	8	yes	—
949	C₂×D₄	C₂²×D₄	1	4	yes	—
950	C₂×D₄	C₂²×D₄	1	8	yes	—
951	C₂×D₄	C₂²×D₄	1	32	yes	—
952	C₂×D₄	C₂×#41	1	8	yes	—
953	C₂×D₄	C₂×#41	1	8	yes	—
954	C₂²×C₄	—	2	4	no	—
955	C₂²×C₄	—	2	4	no	—
956	C₂²×C₄	—	2	4	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	4	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	8	no	—
961	C₂²×C₄	—	2	4	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	4	no	—
964	C₂²×C₄	—	2	8	no	—
965	C₂²×C₄	—	2	16	no	—
966	C₂²×C₄	—	2	4	no	—
967	C₂²×C₄	—	2	4	no	—
968	C₂²×C₄	—	2	8	no	—
969	C₂²×C₄	—	2	4	no	—
970	C₂²×C₄	—	2	4	no	—
971	C₂²×C₄	—	2	4	no	—
972	C₂²×C₄	—	2	4	no	—
973	C₂²×C₄	—	2	4	no	—
974	C₂²×C₄	—	2	4	no	—
975	C₂²×C₄	—	2	4	no	—
976	C₂²×C₄	—	2	4	no	—
977	C₂²×C₄	—	2	4	no	—
978	C₂²×C₄	—	2	16	no	—
979	C₂²×C₄	—	4	4	no	—
980	C₂²×C₄	—	4	2	no	—
981	C₂²×C₄	—	4	8	no	—
982	C₂²×C₄	—	4	2	no	—
983	C₂²×C₄	—	4	2	no	—
984	C₂²×C₄	—	4	4	no	—
985	C₂²×C₄	—	4	2	no	—
986	C₂²×C₄	—	4	4	no	—
987	C₂²×C₄	—	4	8	no	—
988	C₂²×C₄	—	4	8	no	—
989	C₂²×C₄	—	4	4	no	—
990	C₂²×C₄	—	4	8	no	—
991	C₂²×C₄	—	4	4	no	—
992	C₂²×C₄	—	4	4	no	—
993	C₂²×C₄	—	4	8	no	—
994	C₂²×C₄	—	4	8	no	—
995	C₂²×C₄	—	4	8	no	—
996	C₂²×C₄	—	4	4	no	—
997	C₂²×C₄	—	4	16	no	—
998	C₂²×C₄	C₂²×D₄	1	8	yes	—
999	C₂²×C₄	C₂²×D₄	1	4	yes	—
1000	C₂²×C₄	C₂×#41	1	4	yes	—
1001	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1002	C₂²×C₄	C₂⁵	1	2	yes	—
1003	C₂²×C₄	C₂⁵	1	2	yes	—
1004	C₂²×C₄	C₂⁵	1	2	yes	—
1005	C₂²×C₄	C₂⁵	1	2	yes	—
1006	C₂²×C₄	C₂⁵	1	2	yes	—
1007	C₂²×C₄	C₂⁵	1	2	yes	—
1008	C₂²×C₄	C₂⁵	1	2	yes	—
1009	C₂²×C₄	C₂⁵	1	4	yes	—
1010	C₂²×C₄	C₂⁵	1	4	yes	—
1011	C₂²×C₄	C₂⁵	1	2	yes	—
1012	C₂²×C₄	C₂⁵	1	2	yes	—
1013	C₂²×C₄	C₂⁵	1	2	yes	—
1014	C₂²×C₄	C₂⁵	1	4	yes	—
1015	C₂²×C₄	C₂⁵	1	4	yes	—
1016	C₂²×C₄	C₂⁵	1	4	yes	—
1017	C₂²×C₄	C₂⁵	1	4	yes	—
1018	C₂²×C₄	C₂⁵	1	2	yes	—
1019	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1020	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1021	C₄⋊C₄	—	2	8	no	—
1022	C₄⋊C₄	—	2	4	no	—
1023	C₄⋊C₄	—	2	4	no	—
1024	C₄⋊C₄	—	2	4	no	—
1025	C₄⋊C₄	—	2	8	no	—
1026	C₄⋊C₄	—	2	16	no	—
1027	C₄⋊C₄	—	2	16	no	—
1028	C₄⋊C₄	—	2	8	no	—
1029	C₄⋊C₄	—	2	8	no	—
1030	C₄⋊C₄	—	2	8	no	—
1031	C₄⋊C₄	—	2	8	no	—
1032	C₄⋊C₄	—	2	4	no	—
1033	C₄⋊C₄	—	2	4	no	—
1034	C₄⋊C₄	—	2	2	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	2	no	—
1038	C₄⋊C₄	—	4	4	no	—
1039	C₄⋊C₄	—	4	8	no	—
1040	C₄⋊C₄	—	4	8	no	—
1041	C₄⋊C₄	—	4	4	no	—
1042	C₄⋊C₄	—	4	4	no	—
1043	C₄⋊C₄	—	4	4	no	—
1044	C₄⋊C₄	—	4	8	no	—
1045	C₄⋊C₄	—	4	4	no	—
1046	C₄⋊C₄	—	4	4	no	—
1047	C₄⋊C₄	—	4	4	no	—
1048	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1049	C₂²⋊C₄	—	2	4	no	—
1050	C₂²⋊C₄	—	2	4	no	—
1051	C₂²⋊C₄	—	2	4	no	—
1052	C₂²⋊C₄	—	2	16	no	—
1053	C₂²⋊C₄	—	2	16	no	—
1054	C₂²⋊C₄	—	2	16	no	—
1055	C₂²⋊C₄	—	2	16	no	—
1056	C₂²⋊C₄	—	2	8	no	—
1057	C₂²⋊C₄	—	2	8	no	—
1058	C₂²⋊C₄	—	2	16	no	—
1059	C₂²⋊C₄	—	2	16	no	—
1060	C₂²⋊C₄	—	2	16	no	—
1061	C₂²⋊C₄	—	2	4	no	—
1062	C₂²⋊C₄	—	2	4	no	—
1063	C₂²⋊C₄	—	2	8	no	—
1064	C₂²⋊C₄	—	2	8	no	—
1065	C₂²⋊C₄	—	2	4	no	—
1066	C₂²⋊C₄	—	2	4	no	—
1067	C₂²⋊C₄	—	2	8	no	—
1068	C₂²⋊C₄	—	2	8	no	—
1069	C₂²⋊C₄	—	2	16	no	—
1070	C₂²⋊C₄	—	2	8	no	—
1071	C₂²⋊C₄	—	4	2	no	—
1072	C₂²⋊C₄	—	4	8	no	—
1073	C₂²⋊C₄	—	4	2	no	—
1074	C₂²⋊C₄	—	4	8	no	—
1075	C₂²⋊C₄	—	4	4	no	—
1076	C₂²⋊C₄	—	4	4	no	—
1077	C₂²⋊C₄	—	4	8	no	—
1078	C₂²⋊C₄	—	4	4	no	—
1079	C₂²⋊C₄	—	4	8	no	—
1080	C₂²⋊C₄	—	4	4	no	—
1081	C₂²⋊C₄	—	4	8	no	—
1082	C₂²⋊C₄	—	4	4	no	—
1083	C₂²⋊C₄	—	4	8	no	—
1084	C₂²⋊C₄	—	4	8	no	—
1085	C₂²⋊C₄	—	4	8	no	—
1086	C₂²⋊C₄	—	4	8	no	—
1087	C₂²⋊C₄	—	4	8	no	—
1088	C₂²⋊C₄	—	4	4	no	—
1089	C₂²⋊C₄	—	4	4	no	—
1090	C₂²⋊C₄	—	4	4	no	—
1091	C₂²⋊C₄	—	4	4	no	—
1092	C₂²⋊C₄	—	4	4	no	—
1093	C₂²⋊C₄	—	4	4	no	—
1094	C₂²⋊C₄	—	4	4	no	—
1095	C₂²⋊C₄	—	4	4	no	—
1096	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1097	C₂²⋊C₄	C₂²×D₄	1	32	yes	—
1098	C₄²	—	2	2	no	—
1099	C₄²	—	2	4	no	—
1100	C₄²	—	2	8	no	—
1101	C₄²	—	2	2	no	—
1102	C₄²	—	2	4	no	—
1103	C₄²	—	2	16	no	—
1104	C₄²	—	2	4	no	—
1105	C₄²	—	2	4	no	—
1106	C₄²	—	2	2	no	—
1107	C₄²	—	2	2	no	—
1108	C₄²	—	2	4	no	—
1109	C₄²	—	2	4	no	—
1110	C₄²	—	2	4	no	—
1111	C₄²	—	4	4	no	—
1112	C₄²	—	4	4	no	—
1113	C₄²	—	4	4	no	—
1114	C₄²	C₂²×D₄	1	8	yes	—
1115	C₂³	—	2	2	no	—
1116	C₂³	—	2	2	no	—
1117	C₂³	—	2	8	no	—
1118	C₂³	—	2	2	no	—
1119	C₂³	—	2	4	no	—
1120	C₂³	—	2	2	no	—
1121	C₂³	—	2	2	no	—
1122	C₂³	—	2	4	no	—
1123	C₂³	—	2	2	no	—
1124	C₂³	—	2	2	no	—
1125	C₂³	—	2	4	no	—
1126	C₂³	—	2	4	no	—
1127	C₂³	—	2	8	no	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	4	no	—
1130	C₂³	—	2	8	no	—
1131	C₂³	—	2	8	no	—
1132	C₂³	—	2	2	no	—
1133	C₂³	—	2	8	no	—
1134	C₂³	—	2	4	no	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	16	no	—
1137	C₂³	—	2	16	no	—
1138	C₂³	—	2	2	no	—
1139	C₂³	—	2	2	no	—
1140	C₂³	—	2	2	no	—
1141	C₂³	—	2	4	no	—
1142	C₂³	—	2	4	no	—
1143	C₂³	—	4	16	no	—
1144	C₂³	—	4	16	no	—
1145	C₂³	—	4	8	no	—
1146	C₂³	—	4	8	no	—
1147	C₂³	—	4	32	no	—
1148	C₂³	—	4	32	no	—
1149	C₂³	—	4	32	no	—
1150	C₂³	—	4	16	no	—
1151	C₂³	—	4	4	no	—
1152	C₂³	—	4	4	no	—
1153	C₂³	—	8	8	no	—
1154	C₂³	—	8	8	no	—
1155	C₂³	—	8	4	no	—
1156	C₂³	—	8	4	no	—
1157	C₂³	—	8	4	no	—
1158	C₂³	—	8	4	no	—
1159	C₂³	—	8	16	no	—
1160	C₂³	—	8	16	no	—
1161	C₂³	—	8	16	no	—
1162	C₂³	—	8	16	no	—
1163	C₂³	—	8	16	no	—
1164	C₂³	—	8	16	no	—
1165	C₂³	—	8	128	no	—
1166	C₂³	—	16	4	no	—
1167	C₂³	—	16	4	no	—
1168	C₂³	C₂³×D₄	1	8	yes	—
1169	C₂³	C₂³×D₄	1	4	yes	—
1170	C₂³	C₂³×D₄	1	2	yes	—
1171	C₂³	C₂²×#41	1	8	yes	—
1172	C₂³	C₂²×#41	1	2	yes	—
1173	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1174	C₂³	#585	1	4	yes	—
1175	C₂³	C₂⁶	1	1	yes	characteristic
1176	Q₈	—	2	8	no	—
1177	Q₈	—	4	8	no	—
1178	Q₈	—	4	8	no	—
1179	Q₈	—	4	4	no	—
1180	Q₈	—	8	8	no	—
1181	D₄	—	2	16	no	—
1182	D₄	—	2	16	no	—
1183	D₄	—	2	16	no	—
1184	D₄	—	2	16	no	—
1185	D₄	—	2	16	no	—
1186	D₄	—	2	8	no	—
1187	D₄	—	4	32	no	—
1188	D₄	—	4	16	no	—
1189	D₄	—	4	16	no	—
1190	D₄	—	4	32	no	—
1191	D₄	—	4	16	no	—
1192	D₄	—	4	16	no	—
1193	D₄	—	4	8	no	—
1194	D₄	—	4	4	no	—
1195	D₄	—	8	16	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	4	no	—
1200	C₂×C₄	—	2	16	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	4	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	4	no	—
1205	C₂×C₄	—	2	4	no	—
1206	C₂×C₄	—	2	4	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	4	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	4	no	—
1219	C₂×C₄	—	2	4	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	4	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	4	no	—
1226	C₂×C₄	—	2	4	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	4	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	2	4	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	4	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	8	no	—
1236	C₂×C₄	—	2	4	no	—
1237	C₂×C₄	—	2	4	no	—
1238	C₂×C₄	—	2	4	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	4	no	—
1241	C₂×C₄	—	4	16	no	—
1242	C₂×C₄	—	4	4	no	—
1243	C₂×C₄	—	4	8	no	—
1244	C₂×C₄	—	4	8	no	—
1245	C₂×C₄	—	4	8	no	—
1246	C₂×C₄	—	4	8	no	—
1247	C₂×C₄	—	8	16	no	—
1248	C₂×C₄	—	8	8	no	—
1249	C₂×C₄	—	8	16	no	—
1250	C₂×C₄	—	8	4	no	—
1251	C₂×C₄	—	8	4	no	—
1252	C₂×C₄	—	8	4	no	—
1253	C₂×C₄	—	16	4	no	—
1254	C₂×C₄	—	16	4	no	—
1255	C₂×C₄	—	16	4	no	—
1256	C₂×C₄	#546	1	16	yes	—
1257	C₂×C₄	C₂³×D₄	1	8	yes	—
1258	C₂×C₄	C₂³×D₄	1	4	yes	—
1259	C₂×C₄	C₂³×D₄	1	2	yes	—
1260	C₂×C₄	C₂³×D₄	1	2	yes	—
1261	C₂×C₄	C₂²×#41	1	2	yes	—
1262	C₂×C₄	C₂²×#41	1	2	yes	—
1263	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1264	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	2	4	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	2	8	no	—
1270	C₂²	—	2	16	no	—
1271	C₂²	—	2	4	no	—
1272	C₂²	—	2	4	no	—
1273	C₂²	—	2	16	no	—
1274	C₂²	—	2	4	no	—
1275	C₂²	—	2	4	no	—
1276	C₂²	—	2	8	no	—
1277	C₂²	—	2	8	no	—
1278	C₂²	—	4	16	no	—
1279	C₂²	—	4	8	no	—
1280	C₂²	—	4	2	no	—
1281	C₂²	—	4	8	no	—
1282	C₂²	—	4	2	no	—
1283	C₂²	—	4	4	no	—
1284	C₂²	—	4	4	no	—
1285	C₂²	—	4	4	no	—
1286	C₂²	—	4	2	no	—
1287	C₂²	—	4	2	no	—
1288	C₂²	—	4	4	no	—
1289	C₂²	—	4	2	no	—
1290	C₂²	—	4	4	no	—
1291	C₂²	—	4	2	no	—
1292	C₂²	—	4	4	no	—
1293	C₂²	—	4	4	no	—
1294	C₂²	—	4	2	no	—
1295	C₂²	—	4	2	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	8	16	no	—
1298	C₂²	—	8	16	no	—
1299	C₂²	—	8	64	no	—
1300	C₂²	—	16	16	no	—
1301	C₂²	C₂×#546	1	4	yes	—
1302	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1303	C₂²	C₂³×#41	1	1	yes	characteristic
1304	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1305	C₂²	C₂×#585	1	2	yes	—
1306	C₂²	H(7,𝔽₂)	1	2	yes	—
1307	C₄	—	2	8	no	—
1308	C₄	—	2	4	no	—
1309	C₄	—	4	4	no	—
1310	C₄	—	4	2	no	—
1311	C₄	—	4	4	no	—
1312	C₄	—	4	4	no	—
1313	C₄	—	4	2	no	—
1314	C₄	—	4	2	no	—
1315	C₄	—	4	2	no	—
1316	C₄	—	4	2	no	—
1317	C₄	—	4	2	no	—
1318	C₄	—	4	4	no	—
1319	C₄	—	4	2	no	—
1320	C₄	—	4	2	no	—
1321	C₄	—	4	2	no	—
1322	C₄	—	4	2	no	—
1323	C₄	—	4	4	no	—
1324	C₄	C₂×#546	1	4	yes	—
1325	C₄	C₂×#546	1	4	yes	—
1326	C₂	—	2	4	no	—
1327	C₂	—	4	4	no	—
1328	C₂	—	4	8	no	—
1329	C₂	—	4	8	no	—
1330	C₂	—	4	4	no	—
1331	C₂	—	8	2	no	—
1332	C₂	C₂²×#546	1	1	yes	characteristic
1333	C₂	#62824	1	1	yes	characteristic
1334	C₂	#62876	1	1	yes	characteristic
1335	C₂	#62987	1	2	yes	—
1336	C₂	#62990	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂×#3484	C₂
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×#3510	C₂	semidirect
3. #59420	C₂	semidirect
4. #59416	C₂	semidirect
5. #59103	C₂	semidirect
6. #59030	C₂	semidirect
7. #59006	C₂	semidirect
8. #45140	C₂	semidirect
9. #45108	C₂	semidirect
10. #45084	C₂	semidirect
11. #44874	C₂	semidirect
12. #43016	C₂	semidirect
13. #35661	C₂	semidirect
14. #35633	C₂	semidirect
15. #35617	C₂	semidirect
16. #35616	C₂	semidirect
17. #35541	C₂	semidirect
18. #35515	C₂	semidirect
19. #34813	C₂	semidirect
20. #34742	C₂	semidirect
21. C₂×#2435	C₂	semidirect
22. #34275	C₂	semidirect
23. #34258	C₂	semidirect
24. #34211	C₂	semidirect
25. #34171	C₂	semidirect
30. C₂×#559	C₂²	semidirect
31. C₂×#556	C₂²	semidirect
32. C₂×#551	C₂²	semidirect
37. C₂×#542	C₂²	semidirect
38. C₂×#536	C₂²	semidirect
39. C₂×#536	C₂²	semidirect
43. C₂×#533	C₂²	semidirect
44. C₂×#529	C₂²	semidirect
46. C₂²×#124	C₂²	semidirect
49. C₂²×C₂²⋊Q₈	C₂²	semidirect
51. C₂×#520	C₂²	semidirect
52. C₂×#519	C₂²	semidirect
54. C₂×#518	C₂²	semidirect
55. C₂×#518	C₂²	semidirect
56. C₂×C₄×#41	C₂²	semidirect
57. #2708	C₂²	semidirect
58. #2708	C₂²	semidirect
59. #2697	C₂²	semidirect
60. #2697	C₂²	semidirect
61. #2695	C₂²	semidirect
62. #2691	C₂²	semidirect
63. #2687	C₂²	semidirect
64. #2685	C₂²	semidirect
65. #2685	C₂²	semidirect
66. #2684	C₂²	semidirect
67. #2684	C₂²	semidirect
68. #2681	C₂²	semidirect
69. #2580	C₂²	semidirect
70. #2559	C₂²	semidirect
71. #2553	C₂²	semidirect
72. #2547	C₂²	semidirect
73. #2547	C₂²	semidirect
74. #2544	C₂²	semidirect
75. #2544	C₂²	semidirect
76. #2538	C₂²	semidirect
77. #2538	C₂²	semidirect
78. #2536	C₂²	semidirect
79. #2534	C₂²	semidirect
80. #2534	C₂²	semidirect
81. #2534	C₂²	semidirect
82. #2492	C₂²	semidirect
83. #2491	C₂²	semidirect
84. #2490	C₂²	semidirect
85. #2489	C₂²	semidirect
86. #2488	C₂²	semidirect
87. #2486	C₂²	semidirect
88. #2480	C₂²	semidirect
89. #2480	C₂²	semidirect
90. #2476	C₂²	semidirect
91. #2472	C₂²	semidirect
92. #2472	C₂²	semidirect
93. #2470	C₂²	semidirect
94. #2454	C₂²	semidirect
95. #2452	C₂²	semidirect
96. #2447	C₂²	semidirect
97. #2445	C₂²	semidirect
98. #2437	C₂²	semidirect
99. #2437	C₂²	semidirect
100. #2435	C₂²	semidirect
101. #2435	C₂²	semidirect
102. #2435	C₂²	semidirect
103. #2435	C₂²	semidirect
104. #2435	C₂²	semidirect
105. #2435	C₂²	semidirect
106. #2435	C₂²	semidirect
107. #2435	C₂²	semidirect
108. #2432	C₂²	semidirect
109. #2432	C₂²	semidirect
110. #2432	C₂²	semidirect
111. #2429	C₂²	semidirect
112. #2429	C₂²	semidirect
113. #2427	C₂²	semidirect
114. #2427	C₂²	semidirect
115. #2427	C₂²	semidirect
116. #2427	C₂²	semidirect
117. #2426	C₂²	semidirect
118. #2423	C₂²	semidirect
119. #2422	C₂²	semidirect
120. #2422	C₂²	semidirect
121. #2421	C₂²	semidirect
122. #2420	C₂²	semidirect
123. #2420	C₂²	semidirect
124. #2420	C₂²	semidirect
125. #2419	C₂²	semidirect
126. #2418	C₂²	semidirect
127. #2418	C₂²	semidirect
128. #2418	C₂²	semidirect
129. #2417	C₂²	semidirect
130. #2415	C₂²	semidirect
131. #2413	C₂²	semidirect
132. #2412	C₂²	semidirect
133. #2412	C₂²	semidirect
134. #2411	C₂²	semidirect
135. #2411	C₂²	semidirect
136. #2405	C₂²	semidirect
137. #2405	C₂²	semidirect
138. #2405	C₂²	semidirect
139. #2398	C₂²	semidirect
140. #2395	C₂²	semidirect
141. C₂×#394	C₂²	semidirect
142. #2367	C₂²	semidirect
143. #2367	C₂²	semidirect
144. #2363	C₂²	semidirect
145. #2361	C₂²	semidirect
146. #2358	C₂²	semidirect
147. #2342	C₂²	semidirect
148. #2342	C₂²	semidirect
149. #2341	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. #2328	C₂²	semidirect
158. #2326	C₂²	semidirect
159. #2326	C₂²	semidirect
160. #2317	C₂²	semidirect
161. #2316	C₂²	semidirect
162. #2311	C₂²	semidirect
163. #2311	C₂²	semidirect
164. #2310	C₂²	semidirect
167. #2309	C₂²	semidirect
168. #2308	C₂²	semidirect
169. C₄×#127	C₂²	semidirect
170. C₄×#124	C₂²	semidirect
171. C₄×#124	C₂²	semidirect
172. C₄×#124	C₂²	semidirect
173. C₄×#123	C₂²	semidirect
174. #2297	C₂²	semidirect
175. #2297	C₂²	semidirect
176. #2297	C₂²	semidirect
177. #2297	C₂²	semidirect
178. #2296	C₂²	semidirect
180. C₂×#390	C₂²	semidirect
181. C₂×#390	C₂²	semidirect
182. #2285	C₂²	semidirect
183. #2280	C₂²	semidirect
184. #2280	C₂²	semidirect
185. C₂×#379	C₂²	semidirect
186. C₂×#379	C₂²	semidirect
187. C₄×#117	C₂²	semidirect
188. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
225. C₂×C₄⋊Q₈	C₂³	semidirect
226. C₂×C₄⋊Q₈	C₂³	semidirect
227. C₂×C₄⋊Q₈	C₂³	semidirect
231. C₂×#126	C₂³	semidirect
232. C₂×#126	C₂³	semidirect
233. C₂×#125	C₂³	semidirect
245. C₂×#124	C₂³	semidirect
246. C₂×#124	C₂³	semidirect
247. C₂×#124	C₂³	semidirect
256. C₂×#123	C₂³	semidirect
257. C₂×#123	C₂³	semidirect
258. C₂×#123	C₂³	semidirect
265. C₂×C₂²⋊Q₈	C₂³	semidirect
266. C₂×C₂²⋊Q₈	C₂³	semidirect
267. C₂×C₂²⋊Q₈	C₂³	semidirect
268. C₂×C₂²⋊Q₈	C₂³	semidirect
269. C₂×C₂²⋊Q₈	C₂³	semidirect
290. C₂×C₄×Q₈	C₂³	semidirect
291. C₂×C₄×Q₈	C₂³	semidirect
292. C₂×C₄×Q₈	C₂³	semidirect
293. C₂×C₄×Q₈	C₂³	semidirect
294. C₂×C₄×Q₈	C₂³	semidirect
307. C₂×C₄×D₄	C₂³	semidirect
308. C₂×C₄×D₄	C₂³	semidirect
309. C₂×C₄×D₄	C₂³	semidirect
310. C₂×C₄×D₄	C₂³	semidirect
318. C₂×#117	C₂³	semidirect
319. C₂×#117	C₂³	semidirect
320. C₂×#117	C₂³	semidirect
323. C₂²×C₄⋊C₄	C₂³	semidirect
336. C₂²×C₂²⋊C₄	C₂³	semidirect
339. C₂²×C₄²	C₂³	semidirect
340. #400	C₂³	semidirect
341. #400	C₂³	semidirect
342. #400	C₂³	semidirect
344. #399	C₂³	semidirect
345. #398	C₂³	semidirect
346. #398	C₂³	semidirect
347. #398	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #397	C₂³	semidirect
360. #396	C₂³	semidirect
361. #396	C₂³	semidirect
362. #396	C₂³	semidirect
373. #394	C₂³	semidirect
374. #394	C₂³	semidirect
375. #394	C₂³	semidirect
376. #394	C₂³	semidirect
377. #394	C₂³	semidirect
378. #394	C₂³	semidirect
379. #394	C₂³	semidirect
380. #394	C₂³	semidirect
382. #393	C₂³	semidirect
383. #393	C₂³	semidirect
384. #391	C₂³	semidirect
385. #391	C₂³	semidirect
386. #391	C₂³	semidirect
387. #391	C₂³	semidirect
388. #391	C₂³	semidirect
389. #391	C₂³	semidirect
390. #391	C₂³	semidirect
391. #391	C₂³	semidirect
392. #391	C₂³	semidirect
393. #391	C₂³	semidirect
408. #390	C₂³	semidirect
409. #390	C₂³	semidirect
410. #390	C₂³	semidirect
411. #390	C₂³	semidirect
412. #390	C₂³	semidirect
413. #390	C₂³	semidirect
414. #390	C₂³	semidirect
415. #390	C₂³	semidirect
416. #390	C₂³	semidirect
417. #389	C₂³	semidirect
418. #389	C₂³	semidirect
419. #389	C₂³	semidirect
420. #389	C₂³	semidirect
421. #389	C₂³	semidirect
422. #389	C₂³	semidirect
423. #389	C₂³	semidirect
430. #388	C₂³	semidirect
431. #388	C₂³	semidirect
432. #388	C₂³	semidirect
433. #388	C₂³	semidirect
434. #388	C₂³	semidirect
435. #388	C₂³	semidirect
436. #388	C₂³	semidirect
437. #388	C₂³	semidirect
438. #388	C₂³	semidirect
439. #387	C₂³	semidirect
440. #387	C₂³	semidirect
451. #386	C₂³	semidirect
452. #386	C₂³	semidirect
453. #386	C₂³	semidirect
454. #386	C₂³	semidirect
455. #386	C₂³	semidirect
456. #386	C₂³	semidirect
457. #386	C₂³	semidirect
460. #385	C₂³	semidirect
461. #385	C₂³	semidirect
462. #385	C₂³	semidirect
463. #385	C₂³	semidirect
464. #385	C₂³	semidirect
465. #385	C₂³	semidirect
466. #385	C₂³	semidirect
467. #385	C₂³	semidirect
468. #385	C₂³	semidirect
469. #384	C₂³	semidirect
470. #384	C₂³	semidirect
471. #382	C₂³	semidirect
472. #382	C₂³	semidirect
473. #382	C₂³	semidirect
477. #381	C₂³	semidirect
478. #381	C₂³	semidirect
485. #380	C₂³	semidirect
486. #380	C₂³	semidirect
487. #380	C₂³	semidirect
488. #380	C₂³	semidirect
489. #380	C₂³	semidirect
490. #380	C₂³	semidirect
501. #379	C₂³	semidirect
502. #379	C₂³	semidirect
503. #379	C₂³	semidirect
504. C₄×C₄⋊C₄	C₂³	semidirect
505. C₄×C₄⋊C₄	C₂³	semidirect
506. C₄×C₄⋊C₄	C₂³	semidirect
507. C₄×C₄⋊C₄	C₂³	semidirect
508. C₄×C₄⋊C₄	C₂³	semidirect
516. C₄×C₂²⋊C₄	C₂³	semidirect
517. C₄×C₂²⋊C₄	C₂³	semidirect
518. C₄×C₂²⋊C₄	C₂³	semidirect
519. C₄×C₂²⋊C₄	C₂³	semidirect
520. C₄×C₂²⋊C₄	C₂³	semidirect
521. C₄×C₂²⋊C₄	C₂³	semidirect
522. C₄×C₂²⋊C₄	C₂³	semidirect
523. C₄×C₂²⋊C₄	C₂³	semidirect
524. #376	C₂³	semidirect
526. C₄³	C₂³	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3510	2
C₂×#3484	2
#59420	2
#59416	2
#59103	2
#59030	2
#59006	2
#45140	2
#45108	2
#45084	2
#44874	2
#43016	2
#35661	2
#35633	2
#35617	2
#35616	2
#35541	2
#35515	2
#34813	2
#34742	2
C₂×#2435	2
#34275	2
#34258	2
#34211	2
#34171	2