Subgroups — #10586073

Order 512.

34608 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#63010	C₂	1	6	yes	maximal, complemented
2	#63008	C₂	1	6	yes	maximal, complemented
3	#62993	C₂	1	6	yes	maximal, complemented
4	#62992	C₂	1	9	yes	maximal, complemented
5	#62990	C₂	1	9	yes	maximal, complemented
6	#62990	C₂	1	9	yes	maximal, complemented
7	#62989	C₂	1	1	yes	maximal, characteristic, complemented
8	#62987	C₂	1	1	yes	maximal, characteristic, complemented
9	#62987	C₂	1	1	yes	maximal, characteristic, complemented
10	#62985	C₂	1	6	yes	maximal, complemented
11	#62983	C₂	1	9	yes	maximal, complemented
12	D₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
13	#62858	C₂	1	6	yes	maximal, complemented
14	#62857	C₂	1	6	yes	maximal, complemented
15	#62847	C₂	1	9	yes	maximal, complemented
16	#62846	C₂	1	9	yes	maximal, complemented
17	#62816	C₂	1	6	yes	maximal, complemented
18	#62810	C₂	1	6	yes	maximal, complemented
19	#62773	C₂	1	9	yes	maximal, complemented
20	C₂×#3513	C₂	1	9	yes	maximal, complemented
21	#62654	C₂	1	1	yes	maximal, characteristic, complemented
22	#62652	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#585	C₂²	1	1	yes	characteristic
25	C₂²×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
26	C₂²×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
27	#3524	C₂²	1	6	yes	complemented
28	#3524	C₂²	1	12	yes	complemented
29	#3524	C₂²	1	6	yes	complemented
30	#3524	C₂²	1	12	yes	complemented
31	#3523	C₂²	1	6	yes	complemented
32	#3522	C₂²	1	6	yes	complemented
33	#3522	C₂²	1	12	yes	complemented
34	#3521	C₂²	1	18	yes	complemented
35	#3521	C₂²	1	36	yes	complemented
36	#3521	C₂²	1	36	yes	complemented
37	#3521	C₂²	1	36	yes	complemented
38	#3521	C₂²	1	36	yes	complemented
39	#3521	C₂²	1	18	yes	complemented
40	#3520	C₂²	1	36	yes	complemented
41	#3520	C₂²	1	18	yes	complemented
42	#3520	C₂²	1	36	yes	complemented
43	#3519	C₂²	1	18	yes	complemented
44	#3519	C₂²	1	36	yes	complemented
45	#3519	C₂²	1	36	yes	complemented
46	#3519	C₂²	1	36	yes	complemented
47	#3518	C₂²	1	6	yes	complemented
48	#3517	C₂²	1	12	yes	complemented
49	#3517	C₂²	1	6	yes	complemented
50	#3516	C₂²	1	2	yes	complemented
51	#3516	C₂²	1	12	yes	complemented
52	#3516	C₂²	1	6	yes	complemented
53	#3515	C₂²	1	36	yes	complemented
54	#3515	C₂²	1	18	yes	complemented
55	#3514	C₂²	1	36	yes	complemented
56	#3514	C₂²	1	36	yes	complemented
57	#3514	C₂²	1	18	yes	complemented
58	#3513	C₂²	1	36	yes	complemented
59	#3513	C₂²	1	18	yes	complemented
60	#3513	C₂²	1	36	yes	complemented
61	#3513	C₂²	1	36	yes	complemented
62	#3513	C₂²	1	36	yes	complemented
63	#3513	C₂²	1	36	yes	complemented
64	#3513	C₂²	1	36	yes	complemented
65	#3513	C₂²	1	36	yes	complemented
66	#3513	C₂²	1	36	yes	complemented
67	#3513	C₂²	1	36	yes	complemented
68	#3513	C₂²	1	36	yes	complemented
69	#3513	C₂²	1	18	yes	complemented
70	#3512	C₂²	1	18	yes	complemented
71	#3512	C₂²	1	18	yes	complemented
72	#3511	C₂²	1	18	yes	complemented
73	#3510	C₂²	1	18	yes	complemented
74	#3510	C₂²	1	18	yes	complemented
75	#3508	C₂²	1	18	yes	complemented
76	#3507	C₂²	1	18	yes	complemented
77	#3506	C₂²	1	18	yes	complemented
78	#3506	C₂²	1	18	yes	complemented
79	#3505	C₂²	1	36	yes	complemented
80	#3505	C₂²	1	36	yes	complemented
81	#3505	C₂²	1	36	yes	complemented
82	#3504	C₂²	1	6	yes	complemented
83	#3504	C₂²	1	6	yes	complemented
84	#3503	C₂²	1	6	yes	complemented
85	#3501	C₂²	1	9	yes	complemented
86	#3501	C₂²	1	9	yes	complemented
87	#3501	C₂²	1	9	yes	complemented
88	#3500	C₂²	1	6	yes	complemented
89	#3500	C₂²	1	6	yes	complemented
90	#3498	C₂²	1	6	yes	complemented
91	#3496	C₂²	1	9	yes	complemented
92	#3496	C₂²	1	9	yes	complemented
93	#3496	C₂²	1	9	yes	complemented
94	#3495	C₂²	1	18	yes	complemented
95	#3495	C₂²	1	18	yes	complemented
96	#3494	C₂²	1	18	yes	complemented
97	#3494	C₂²	1	18	yes	complemented
98	#3494	C₂²	1	18	yes	complemented
99	#3494	C₂²	1	18	yes	complemented
100	#3493	C₂²	1	18	yes	complemented
101	#3492	C₂²	1	18	yes	complemented
102	#3492	C₂²	1	18	yes	complemented
103	#3491	C₂²	1	36	yes	complemented
104	#3490	C₂²	1	36	yes	complemented
105	#3490	C₂²	1	36	yes	complemented
106	#3489	C₂²	1	6	yes	complemented
107	#3489	C₂²	1	6	yes	complemented
108	#3488	C₂²	1	6	yes	complemented
109	#3488	C₂²	1	6	yes	complemented
110	#3488	C₂²	1	6	yes	complemented
111	#3488	C₂²	1	6	yes	complemented
112	#3485	C₂²	1	9	yes	complemented
113	#3485	C₂²	1	9	yes	complemented
114	#3484	C₂²	1	9	yes	complemented
115	#3484	C₂²	1	9	yes	complemented
116	#3484	C₂²	1	9	yes	complemented
117	#3484	C₂²	1	9	yes	complemented
118	#3482	C₂²	1	12	yes	complemented
119	#3481	C₂²	1	36	yes	complemented
120	#3481	C₂²	1	36	yes	complemented
121	#3481	C₂²	1	36	yes	complemented
122	#3480	C₂²	1	18	yes	complemented
123	#3480	C₂²	1	12	yes	complemented
124	C₂×#559	C₂²	1	9	yes	complemented
125	Q₈×#41	C₂²	1	6	yes	complemented
126	#3475	C₂²	1	18	yes	complemented
127	#3475	C₂²	1	18	yes	complemented
128	#3475	C₂²	1	18	yes	complemented
129	#3475	C₂²	1	36	yes	complemented
130	#3475	C₂²	1	36	yes	complemented
131	C₂×#554	C₂²	1	9	yes	complemented
132	C₂×#553	C₂²	1	18	yes	complemented
133	C₂×#553	C₂²	1	9	yes	complemented
134	C₂×#552	C₂²	1	9	yes	complemented
135	C₂×#551	C₂²	1	18	yes	complemented
136	C₂×#551	C₂²	1	18	yes	complemented
137	D₄×#41	C₂²	1	6	yes	complemented
138	D₄×#41	C₂²	1	6	yes	complemented
139	D₄×#41	C₂²	1	6	yes	complemented
140	D₄×#41	C₂²	1	36	yes	complemented
141	C₂×#547	C₂²	1	9	yes	complemented
142	C₂×#546	C₂²	1	9	yes	complemented
143	C₂×#546	C₂²	1	9	yes	complemented
144	C₂×#546	C₂²	1	18	yes	complemented
145	C₂×D₄²	C₂²	1	9	yes	complemented
146	#3461	C₂²	1	18	yes	complemented
147	#3460	C₂²	1	18	yes	complemented
148	#3460	C₂²	1	18	yes	complemented
149	#3459	C₂²	1	36	yes	complemented
150	#3455	C₂²	1	18	yes	complemented
151	#3455	C₂²	1	18	yes	complemented
152	C₂×#542	C₂²	1	9	yes	complemented
153	C₂×#540	C₂²	1	9	yes	complemented
154	C₂×#539	C₂²	1	18	yes	complemented
155	C₂×#538	C₂²	1	18	yes	complemented
156	#3444	C₂²	1	18	yes	complemented
157	C₂×#529	C₂²	1	9	yes	complemented
158	C₂×#529	C₂²	1	9	yes	complemented
159	C₂×#525	C₂²	1	18	yes	complemented
160	C₂²×#123	C₂²	1	6	yes	complemented
161	C₄×2₋¹⁺⁴	C₂²	1	6	yes	complemented
162	C₄×2₋¹⁺⁴	C₂²	1	6	yes	complemented
163	C₄×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
164	C₄×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
165	C₄×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
166	C₄×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
167	C₄×H(5,𝔽₂)	C₂²	1	9	yes	complemented
168	C₄×H(5,𝔽₂)	C₂²	1	9	yes	complemented
169	C₄×H(5,𝔽₂)	C₂²	1	9	yes	complemented
170	C₄×H(5,𝔽₂)	C₂²	1	9	yes	complemented
171	C₄×H(5,𝔽₂)	C₂²	1	9	yes	complemented
172	C₄×H(5,𝔽₂)	C₂²	1	9	yes	complemented
173	C₄×H(5,𝔽₂)	C₂²	1	6	yes	complemented
174	C₄×H(5,𝔽₂)	C₂²	1	6	yes	complemented
175	C₄×H(5,𝔽₂)	C₂²	1	6	yes	complemented
176	C₄×H(5,𝔽₂)	C₂²	1	6	yes	complemented
177	#3428	C₂²	1	6	yes	complemented
178	#3428	C₂²	1	6	yes	complemented
179	#3428	C₂²	1	9	yes	complemented
180	#3428	C₂²	1	6	yes	complemented
181	C₂×#520	C₂²	1	9	yes	complemented
182	C₂×#520	C₂²	1	6	yes	complemented
183	C₂×#520	C₂²	1	6	yes	complemented
184	C₂×#518	C₂²	1	9	yes	complemented
185	C₂×#518	C₂²	1	9	yes	complemented
186	C₂×#518	C₂²	1	9	yes	complemented
187	C₂×C₄×#41	C₂²	1	6	yes	complemented
188	C₂²×C₄×D₄	C₂²	1	9	yes	complemented
189	#585	—	2	16	no	—
190	C₂×2₋¹⁺⁴	C₂³	1	6	yes	—
191	C₂×H(5,𝔽₂)	—	2	16	no	—
192	C₂×H(5,𝔽₂)	—	2	16	no	—
193	C₂×H(5,𝔽₂)	C₂³	1	9	yes	—
194	C₂×H(5,𝔽₂)	C₂³	1	9	yes	—
195	C₂×H(5,𝔽₂)	C₂³	1	6	yes	—
196	C₂×H(5,𝔽₂)	C₂³	1	6	yes	—
197	C₂×H(5,𝔽₂)	C₂³	1	9	yes	—
198	C₂×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
199	C₂²×#41	C₂³	1	6	yes	—
200	C₂²×#41	C₂³	1	6	yes	—
201	C₂²×#41	C₂³	1	9	yes	—
202	C₂²×#41	C₂³	1	6	yes	—
203	C₂²×#41	C₂³	1	18	yes	complemented
204	C₂³×D₄	C₂³	1	9	yes	—
205	C₂³×D₄	C₂³	1	9	yes	—
206	C₂³×D₄	C₂³	1	6	yes	—
207	C₂⁴×C₄	C₂³	1	6	yes	complemented
208	#559	C₂³	1	18	yes	complemented
209	#559	C₂³	1	36	yes	complemented
210	#559	C₂³	1	36	yes	complemented
211	#559	C₂³	1	36	yes	complemented
212	#559	C₂³	1	18	yes	complemented
213	#559	C₂³	1	18	yes	complemented
214	#559	C₂³	1	36	yes	complemented
215	Q₈²	C₂³	1	6	yes	complemented
216	#557	C₂³	1	2	yes	complemented
217	#557	C₂³	1	6	yes	complemented
218	#557	C₂³	1	6	yes	complemented
219	#557	C₂³	1	18	yes	complemented
220	#557	C₂³	1	12	yes	complemented
221	#556	C₂³	1	18	yes	complemented
222	#556	C₂³	1	18	yes	complemented
223	#556	C₂³	1	18	yes	complemented
224	#556	C₂³	1	36	yes	complemented
225	#556	C₂³	1	18	yes	complemented
226	#556	C₂³	1	6	yes	complemented
227	#556	C₂³	1	36	yes	complemented
228	#556	C₂³	1	18	yes	complemented
229	#556	C₂³	1	36	yes	complemented
230	#555	C₂³	1	18	yes	complemented
231	#555	C₂³	1	36	yes	complemented
232	#555	C₂³	1	36	yes	complemented
233	#555	C₂³	1	18	yes	complemented
234	#555	C₂³	1	18	yes	complemented
235	#554	C₂³	1	18	yes	complemented
236	#554	C₂³	1	36	yes	complemented
237	#554	C₂³	1	36	yes	complemented
238	#554	C₂³	1	36	yes	complemented
239	#554	C₂³	1	6	yes	complemented
240	#554	C₂³	1	18	yes	complemented
241	#554	C₂³	1	18	yes	complemented
242	#554	C₂³	1	36	yes	complemented
243	#554	C₂³	1	18	yes	complemented
244	#554	C₂³	1	18	yes	complemented
245	#554	C₂³	1	36	yes	complemented
246	#554	C₂³	1	36	yes	complemented
247	#554	C₂³	1	36	yes	complemented
248	#553	C₂³	1	6	yes	—
249	#553	C₂³	1	18	yes	complemented
250	#553	C₂³	1	36	yes	complemented
251	#553	C₂³	1	72	yes	complemented
252	#553	C₂³	1	36	yes	complemented
253	#553	C₂³	1	36	yes	complemented
254	#553	C₂³	1	36	yes	complemented
255	#553	C₂³	1	72	yes	complemented
256	#553	C₂³	1	72	yes	complemented
257	#553	C₂³	1	18	yes	complemented
258	#553	C₂³	1	18	yes	complemented
259	#553	C₂³	1	18	yes	complemented
260	#553	C₂³	1	72	yes	complemented
261	#553	C₂³	1	18	yes	complemented
262	#553	C₂³	1	36	yes	complemented
263	#553	C₂³	1	36	yes	complemented
264	#553	C₂³	1	36	yes	complemented
265	#553	C₂³	1	36	yes	complemented
266	#553	C₂³	1	36	yes	complemented
267	#553	C₂³	1	36	yes	complemented
268	#553	C₂³	1	72	yes	complemented
269	#552	C₂³	1	18	yes	—
270	#552	C₂³	1	36	yes	complemented
271	#552	C₂³	1	36	yes	complemented
272	#552	C₂³	1	36	yes	complemented
273	#552	C₂³	1	18	yes	complemented
274	#552	C₂³	1	18	yes	complemented
275	#552	C₂³	1	6	yes	complemented
276	#552	C₂³	1	36	yes	complemented
277	#552	C₂³	1	36	yes	complemented
278	#552	C₂³	1	72	yes	complemented
279	#552	C₂³	1	72	yes	complemented
280	#552	C₂³	1	18	yes	complemented
281	#552	C₂³	1	36	yes	complemented
282	#552	C₂³	1	36	yes	complemented
283	#552	C₂³	1	18	yes	complemented
284	#552	C₂³	1	36	yes	complemented
285	#551	C₂³	1	36	yes	complemented
286	#551	C₂³	1	36	yes	complemented
287	#551	C₂³	1	72	yes	complemented
288	#551	C₂³	1	72	yes	complemented
289	#551	C₂³	1	72	yes	complemented
290	#551	C₂³	1	72	yes	complemented
291	#551	C₂³	1	72	yes	complemented
292	#551	C₂³	1	72	yes	complemented
293	#551	C₂³	1	36	yes	complemented
294	#551	C₂³	1	36	yes	complemented
295	#551	C₂³	1	36	yes	complemented
296	#551	C₂³	1	72	yes	complemented
297	#551	C₂³	1	36	yes	complemented
298	#551	C₂³	1	72	yes	complemented
299	#551	C₂³	1	72	yes	complemented
300	#551	C₂³	1	72	yes	complemented
301	#550	C₂³	1	6	yes	—
302	#550	C₂³	1	12	yes	—
303	#550	C₂³	1	6	yes	complemented
304	#550	C₂³	1	6	yes	complemented
305	#550	C₂³	1	36	yes	complemented
306	#550	C₂³	1	18	yes	complemented
307	D₄×Q₈	C₂³	1	2	yes	—
308	D₄×Q₈	C₂³	1	6	yes	complemented
309	D₄×Q₈	C₂³	1	6	yes	complemented
310	D₄×Q₈	C₂³	1	36	yes	complemented
311	D₄×Q₈	C₂³	1	18	yes	complemented
312	#548	C₂³	1	6	yes	—
313	#548	C₂³	1	6	yes	—
314	#548	C₂³	1	2	yes	complemented
315	#548	C₂³	1	2	yes	complemented
316	#548	C₂³	1	6	yes	complemented
317	#548	C₂³	1	6	yes	complemented
318	#548	C₂³	1	72	yes	complemented
319	#548	C₂³	1	12	yes	complemented
320	#548	C₂³	1	36	yes	complemented
321	#548	C₂³	1	12	yes	complemented
322	#547	C₂³	1	18	yes	—
323	#547	C₂³	1	18	yes	complemented
324	#547	C₂³	1	36	yes	complemented
325	#547	C₂³	1	36	yes	complemented
326	#547	C₂³	1	36	yes	complemented
327	#547	C₂³	1	18	yes	complemented
328	#547	C₂³	1	18	yes	complemented
329	#547	C₂³	1	18	yes	complemented
330	#547	C₂³	1	36	yes	complemented
331	#547	C₂³	1	36	yes	complemented
332	#547	C₂³	1	36	yes	complemented
333	#547	C₂³	1	18	yes	complemented
334	#546	C₂³	1	36	yes	—
335	#546	C₂³	1	18	yes	—
336	#546	C₂³	1	18	yes	—
337	#546	C₂³	1	36	yes	—
338	#546	C₂³	1	36	yes	—
339	#546	C₂³	1	18	yes	complemented
340	#546	C₂³	1	18	yes	complemented
341	#546	C₂³	1	72	yes	complemented
342	#546	C₂³	1	36	yes	complemented
343	#546	C₂³	1	36	yes	complemented
344	#546	C₂³	1	36	yes	complemented
345	#546	C₂³	1	36	yes	complemented
346	#546	C₂³	1	36	yes	complemented
347	#546	C₂³	1	72	yes	complemented
348	#546	C₂³	1	36	yes	complemented
349	#546	C₂³	1	72	yes	complemented
350	#546	C₂³	1	36	yes	complemented
351	#546	C₂³	1	18	yes	complemented
352	#546	C₂³	1	72	yes	complemented
353	#546	C₂³	1	18	yes	complemented
354	#546	C₂³	1	36	yes	complemented
355	#546	C₂³	1	36	yes	complemented
356	#546	C₂³	1	36	yes	complemented
357	#546	C₂³	1	72	yes	complemented
358	#546	C₂³	1	72	yes	complemented
359	D₄²	C₂³	1	18	yes	—
360	D₄²	C₂³	1	36	yes	—
361	D₄²	C₂³	1	36	yes	—
362	D₄²	C₂³	1	36	yes	—
363	D₄²	C₂³	1	36	yes	—
364	D₄²	C₂³	1	18	yes	complemented
365	D₄²	C₂³	1	18	yes	complemented
366	D₄²	C₂³	1	36	yes	complemented
367	D₄²	C₂³	1	36	yes	complemented
368	#544	C₂³	1	18	yes	complemented
369	#544	C₂³	1	18	yes	complemented
370	#544	C₂³	1	18	yes	complemented
371	#543	C₂³	1	36	yes	complemented
372	#542	C₂³	1	18	yes	complemented
373	#542	C₂³	1	36	yes	complemented
374	#542	C₂³	1	36	yes	complemented
375	#542	C₂³	1	36	yes	complemented
376	#542	C₂³	1	6	yes	complemented
377	#542	C₂³	1	18	yes	complemented
378	#542	C₂³	1	18	yes	complemented
379	#542	C₂³	1	18	yes	complemented
380	#542	C₂³	1	18	yes	complemented
381	#542	C₂³	1	18	yes	complemented
382	#542	C₂³	1	18	yes	complemented
383	#542	C₂³	1	36	yes	complemented
384	#542	C₂³	1	36	yes	complemented
385	#541	C₂³	1	6	yes	complemented
386	#541	C₂³	1	18	yes	complemented
387	#541	C₂³	1	18	yes	complemented
388	#541	C₂³	1	18	yes	complemented
389	#541	C₂³	1	36	yes	complemented
390	#540	C₂³	1	18	yes	complemented
391	#540	C₂³	1	36	yes	complemented
392	#540	C₂³	1	36	yes	complemented
393	#540	C₂³	1	36	yes	complemented
394	#540	C₂³	1	18	yes	complemented
395	#540	C₂³	1	18	yes	complemented
396	#540	C₂³	1	18	yes	complemented
397	#540	C₂³	1	36	yes	complemented
398	#539	C₂³	1	36	yes	complemented
399	#539	C₂³	1	72	yes	complemented
400	#539	C₂³	1	72	yes	complemented
401	#539	C₂³	1	72	yes	complemented
402	#539	C₂³	1	36	yes	complemented
403	#539	C₂³	1	36	yes	complemented
404	#539	C₂³	1	36	yes	complemented
405	#539	C₂³	1	72	yes	complemented
406	#538	C₂³	1	36	yes	complemented
407	#538	C₂³	1	72	yes	complemented
408	#538	C₂³	1	72	yes	complemented
409	#538	C₂³	1	72	yes	complemented
410	#538	C₂³	1	36	yes	complemented
411	#538	C₂³	1	36	yes	complemented
412	#538	C₂³	1	36	yes	complemented
413	#538	C₂³	1	72	yes	complemented
414	#538	C₂³	1	72	yes	complemented
415	#537	C₂³	1	18	yes	—
416	#537	C₂³	1	18	yes	complemented
417	#537	C₂³	1	18	yes	complemented
418	#536	C₂³	1	18	yes	complemented
419	#536	C₂³	1	18	yes	complemented
420	#535	C₂³	1	18	yes	—
421	#535	C₂³	1	18	yes	—
422	#535	C₂³	1	18	yes	complemented
423	#535	C₂³	1	18	yes	complemented
424	#534	C₂³	1	36	yes	—
425	#534	C₂³	1	36	yes	complemented
426	#534	C₂³	1	36	yes	complemented
427	#533	C₂³	1	18	yes	complemented
428	#533	C₂³	1	18	yes	complemented
429	#533	C₂³	1	18	yes	complemented
430	#533	C₂³	1	18	yes	complemented
431	#533	C₂³	1	18	yes	complemented
432	#533	C₂³	1	36	yes	complemented
433	#532	C₂³	1	18	yes	—
434	#532	C₂³	1	18	yes	complemented
435	#532	C₂³	1	18	yes	complemented
436	#532	C₂³	1	18	yes	complemented
437	#532	C₂³	1	18	yes	complemented
438	#532	C₂³	1	36	yes	complemented
439	#532	C₂³	1	36	yes	complemented
440	#532	C₂³	1	36	yes	complemented
441	C₂×C₄⋊Q₈	C₂³	1	9	yes	complemented
442	C₂×#127	C₂³	1	9	yes	—
443	#529	C₂³	1	6	yes	—
444	#529	C₂³	1	18	yes	—
445	#529	C₂³	1	18	yes	complemented
446	#529	C₂³	1	18	yes	complemented
447	#529	C₂³	1	18	yes	complemented
448	#529	C₂³	1	18	yes	complemented
449	#529	C₂³	1	36	yes	complemented
450	#529	C₂³	1	18	yes	complemented
451	#529	C₂³	1	18	yes	complemented
452	#529	C₂³	1	36	yes	complemented
453	#529	C₂³	1	18	yes	complemented
454	#529	C₂³	1	36	yes	complemented
455	#529	C₂³	1	6	yes	complemented
456	#529	C₂³	1	36	yes	complemented
457	#529	C₂³	1	36	yes	complemented
458	#529	C₂³	1	36	yes	complemented
459	#529	C₂³	1	18	yes	complemented
460	#529	C₂³	1	18	yes	complemented
461	#529	C₂³	1	36	yes	complemented
462	#529	C₂³	1	36	yes	complemented
463	#529	C₂³	1	36	yes	complemented
464	#529	C₂³	1	36	yes	complemented
465	#529	C₂³	1	72	yes	complemented
466	#529	C₂³	1	72	yes	complemented
467	#529	C₂³	1	36	yes	complemented
468	#529	C₂³	1	36	yes	complemented
469	#529	C₂³	1	36	yes	complemented
470	#529	C₂³	1	72	yes	complemented
471	#529	C₂³	1	36	yes	complemented
472	C₂×#126	C₂³	1	18	yes	complemented
473	C₂×#126	C₂³	1	9	yes	complemented
474	C₂×#126	C₂³	1	9	yes	complemented
475	C₂×#126	C₂³	1	18	yes	complemented
476	C₂×#126	C₂³	1	18	yes	complemented
477	C₂×#126	C₂³	1	18	yes	complemented
478	C₂×#125	C₂³	1	9	yes	complemented
479	C₂×#125	C₂³	1	9	yes	complemented
480	C₂×#125	C₂³	1	18	yes	complemented
481	C₂×#125	C₂³	1	9	yes	complemented
482	C₂×#124	C₂³	1	9	yes	complemented
483	C₂×#124	C₂³	1	9	yes	complemented
484	C₂×#124	C₂³	1	18	yes	complemented
485	C₂×#124	C₂³	1	18	yes	complemented
486	C₂×#124	C₂³	1	9	yes	complemented
487	#525	C₂³	1	18	yes	—
488	#525	C₂³	1	18	yes	—
489	#525	C₂³	1	36	yes	complemented
490	#525	C₂³	1	72	yes	complemented
491	#525	C₂³	1	72	yes	complemented
492	#525	C₂³	1	72	yes	complemented
493	#525	C₂³	1	18	yes	complemented
494	#525	C₂³	1	36	yes	complemented
495	#525	C₂³	1	18	yes	complemented
496	#525	C₂³	1	18	yes	complemented
497	#525	C₂³	1	18	yes	complemented
498	#525	C₂³	1	72	yes	complemented
499	#525	C₂³	1	72	yes	complemented
500	#525	C₂³	1	72	yes	complemented
501	C₂×#123	C₂³	1	9	yes	—
502	C₂×#123	C₂³	1	18	yes	—
503	C₂×#123	C₂³	1	18	yes	complemented
504	C₂×#123	C₂³	1	18	yes	complemented
505	C₂×#123	C₂³	1	18	yes	complemented
506	C₂×#123	C₂³	1	18	yes	complemented
507	C₂×#123	C₂³	1	18	yes	complemented
508	C₂×#123	C₂³	1	18	yes	complemented
509	C₂×#123	C₂³	1	9	yes	complemented
510	C₂×#123	C₂³	1	18	yes	complemented
511	C₂×#123	C₂³	1	18	yes	complemented
512	C₂×#123	C₂³	1	18	yes	complemented
513	C₂×#123	C₂³	1	18	yes	complemented
514	C₂×#123	C₂³	1	18	yes	complemented
515	C₂×C₂²⋊Q₈	C₂³	1	18	yes	complemented
516	C₂×C₂²⋊Q₈	C₂³	1	18	yes	complemented
517	C₂×C₂²⋊Q₈	C₂³	1	9	yes	complemented
518	C₂×C₂²⋊Q₈	C₂³	1	9	yes	complemented
519	C₂×C₂²⋊Q₈	C₂³	1	18	yes	complemented
520	C₂×C₂²⋊Q₈	C₂³	1	18	yes	complemented
521	C₂×C₂²⋊Q₈	C₂³	1	18	yes	complemented
522	C₂×C₂²⋊Q₈	C₂³	1	9	yes	complemented
523	C₂×#121	C₂³	1	9	yes	—
524	C₂×#121	C₂³	1	9	yes	—
525	C₂×#121	C₂³	1	18	yes	—
526	C₂×#121	C₂³	1	9	yes	—
527	C₂×#121	C₂³	1	18	yes	complemented
528	C₂×#121	C₂³	1	18	yes	complemented
529	C₂×#121	C₂³	1	18	yes	complemented
530	C₂×#121	C₂³	1	18	yes	complemented
531	C₂×#121	C₂³	1	9	yes	complemented
532	C₂×#121	C₂³	1	9	yes	complemented
533	C₂×#121	C₂³	1	18	yes	complemented
534	C₂×#120	C₂³	1	18	yes	—
535	C₂×#120	C₂³	1	18	yes	—
536	C₂×#120	C₂³	1	18	yes	complemented
537	C₂×#120	C₂³	1	18	yes	complemented
538	#520	C₂³	1	6	yes	—
539	#520	C₂³	1	6	yes	—
540	#520	C₂³	1	6	yes	—
541	#520	C₂³	1	6	yes	—
542	#520	C₂³	1	18	yes	complemented
543	#520	C₂³	1	36	yes	complemented
544	#520	C₂³	1	6	yes	complemented
545	#520	C₂³	1	18	yes	complemented
546	#520	C₂³	1	18	yes	complemented
547	#520	C₂³	1	36	yes	complemented
548	#520	C₂³	1	12	yes	complemented
549	#520	C₂³	1	18	yes	complemented
550	#520	C₂³	1	18	yes	complemented
551	#520	C₂³	1	36	yes	complemented
552	#520	C₂³	1	36	yes	complemented
553	#520	C₂³	1	18	yes	complemented
554	#520	C₂³	1	2	yes	complemented
555	#520	C₂³	1	18	yes	complemented
556	#520	C₂³	1	18	yes	complemented
557	#520	C₂³	1	18	yes	complemented
558	#520	C₂³	1	6	yes	complemented
559	#520	C₂³	1	18	yes	complemented
560	#520	C₂³	1	6	yes	complemented
561	#519	C₂³	1	6	yes	complemented
562	#519	C₂³	1	2	yes	complemented
563	#519	C₂³	1	18	yes	complemented
564	#519	C₂³	1	6	yes	complemented
565	#519	C₂³	1	6	yes	complemented
566	#518	C₂³	1	9	yes	—
567	#518	C₂³	1	9	yes	—
568	#518	C₂³	1	9	yes	—
569	#518	C₂³	1	9	yes	—
570	#518	C₂³	1	18	yes	complemented
571	#518	C₂³	1	36	yes	complemented
572	#518	C₂³	1	18	yes	complemented
573	#518	C₂³	1	36	yes	complemented
574	#518	C₂³	1	36	yes	complemented
575	#518	C₂³	1	18	yes	complemented
576	#518	C₂³	1	18	yes	complemented
577	#518	C₂³	1	36	yes	complemented
578	#518	C₂³	1	36	yes	complemented
579	#518	C₂³	1	36	yes	complemented
580	#518	C₂³	1	36	yes	complemented
581	#518	C₂³	1	36	yes	complemented
582	#518	C₂³	1	18	yes	complemented
583	#518	C₂³	1	18	yes	complemented
584	C₄×#41	C₂³	1	6	yes	—
585	C₄×#41	C₂³	1	6	yes	—
586	C₄×#41	C₂³	1	6	yes	—
587	C₄×#41	C₂³	1	6	yes	—
588	C₄×#41	C₂³	1	18	yes	complemented
589	C₄×#41	C₂³	1	18	yes	complemented
590	C₄×#41	C₂³	1	18	yes	complemented
591	C₄×#41	C₂³	1	6	yes	complemented
592	C₄×#41	C₂³	1	18	yes	complemented
593	C₄×#41	C₂³	1	6	yes	complemented
594	C₄×#41	C₂³	1	18	yes	complemented
595	C₄×#41	C₂³	1	18	yes	complemented
596	C₄×#41	C₂³	1	36	yes	complemented
597	C₄×#41	C₂³	1	12	yes	complemented
598	C₄×#41	C₂³	1	18	yes	complemented
599	C₄×#41	C₂³	1	18	yes	complemented
600	C₄×#41	C₂³	1	36	yes	complemented
601	C₄×#41	C₂³	1	36	yes	complemented
602	C₄×#41	C₂³	1	36	yes	complemented
603	C₄×#41	C₂³	1	36	yes	complemented
604	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
605	C₂×C₄×Q₈	C₂³	1	6	yes	complemented
606	C₂×C₄×Q₈	C₂³	1	9	yes	complemented
607	C₂×C₄×Q₈	C₂³	1	9	yes	complemented
608	C₂×C₄×Q₈	C₂³	1	12	yes	complemented
609	C₂×C₄×Q₈	C₂³	1	9	yes	complemented
610	C₂×C₄×D₄	C₂³	1	9	yes	—
611	C₂×C₄×D₄	C₂³	1	9	yes	—
612	C₂×C₄×D₄	C₂³	1	9	yes	—
613	C₂×C₄×D₄	C₂³	1	9	yes	—
614	C₂×C₄×D₄	C₂³	1	9	yes	—
615	C₂×C₄×D₄	C₂³	1	18	yes	complemented
616	C₂×C₄×D₄	C₂³	1	36	yes	complemented
617	C₂×C₄×D₄	C₂³	1	18	yes	complemented
618	C₂×C₄×D₄	C₂³	1	9	yes	complemented
619	C₂×C₄×D₄	C₂³	1	18	yes	complemented
620	C₂×C₄×D₄	C₂³	1	9	yes	complemented
621	C₂×C₄×D₄	C₂³	1	36	yes	complemented
622	C₂×C₄×D₄	C₂³	1	36	yes	complemented
623	C₂×C₄×D₄	C₂³	1	18	yes	complemented
624	C₂×C₄×D₄	C₂³	1	18	yes	complemented
625	C₂×C₄×D₄	C₂³	1	9	yes	complemented
626	C₂×C₄×D₄	C₂³	1	9	yes	complemented
627	C₂×C₄×D₄	C₂³	1	36	yes	complemented
628	C₂×C₄×D₄	C₂³	1	18	yes	complemented
629	C₂×C₄×D₄	C₂³	1	36	yes	complemented
630	C₂×C₄×D₄	C₂³	1	18	yes	complemented
631	C₂×C₄×D₄	C₂³	1	18	yes	complemented
632	C₂×C₄×D₄	C₂³	1	36	yes	complemented
633	C₂×C₄×D₄	C₂³	1	18	yes	complemented
634	C₂×C₄×D₄	C₂³	1	18	yes	complemented
635	C₂×C₄×D₄	C₂³	1	9	yes	complemented
636	C₂×C₄×D₄	C₂³	1	9	yes	complemented
637	C₂×C₄×D₄	C₂³	1	18	yes	complemented
638	C₂×#117	C₂³	1	18	yes	complemented
639	C₂×#117	C₂³	1	9	yes	complemented
640	C₂×#117	C₂³	1	9	yes	complemented
641	C₂×#117	C₂³	1	18	yes	complemented
642	C₂×#117	C₂³	1	9	yes	complemented
643	C₂×#117	C₂³	1	18	yes	complemented
644	C₂×#117	C₂³	1	18	yes	complemented
645	C₂×#117	C₂³	1	18	yes	complemented
646	C₂×#117	C₂³	1	18	yes	complemented
647	C₂²×C₄⋊C₄	C₂³	1	9	yes	complemented
648	C₂²×C₄⋊C₄	C₂³	1	6	yes	complemented
649	C₂²×C₄⋊C₄	C₂³	1	9	yes	complemented
650	C₂²×C₄⋊C₄	C₂³	1	6	yes	complemented
651	C₂²×C₂²⋊C₄	C₂³	1	18	yes	complemented
652	C₂²×C₂²⋊C₄	C₂³	1	6	yes	complemented
653	C₂²×C₂²⋊C₄	C₂³	1	18	yes	complemented
654	C₂²×C₂²⋊C₄	C₂³	1	6	yes	complemented
655	C₂²×C₂²⋊C₄	C₂³	1	6	yes	complemented
656	C₂²×C₄²	C₂³	1	9	yes	complemented
657	C₂⁵	C₂⁴	1	6	yes	—
658	C₂⁵	C₂⁴	1	6	yes	—
659	2₋¹⁺⁴	—	2	48	no	—
660	H(5,𝔽₂)	—	2	48	no	—
661	H(5,𝔽₂)	—	2	48	no	—
662	H(5,𝔽₂)	—	2	72	no	—
663	H(5,𝔽₂)	—	2	72	no	—
664	H(5,𝔽₂)	—	2	72	no	—
665	H(5,𝔽₂)	#41	1	16	yes	complemented
666	C₂×#41	—	2	48	no	—
667	C₂×#41	—	2	48	no	—
668	C₂×#41	—	2	48	no	—
669	C₂×#41	—	2	72	no	—
670	C₂×#41	—	8	36	no	—
671	C₂×#41	C₂⁴	1	18	yes	—
672	C₂×#41	C₂⁴	1	18	yes	—
673	C₂×#41	C₂⁴	1	18	yes	—
674	C₂×#41	C₂⁴	1	18	yes	—
675	C₂×#41	C₂⁴	1	18	yes	—
676	C₂×#41	C₂⁴	1	36	yes	—
677	C₂×#41	C₂⁴	1	6	yes	—
678	C₂×#41	C₂⁴	1	6	yes	—
679	C₂×#41	C₂⁴	1	18	yes	—
680	C₂×#41	C₂⁴	1	2	yes	—
681	C₂×#41	C₂⁴	1	36	yes	—
682	C₂×#41	C₂⁴	1	36	yes	—
683	C₂×#41	C₂⁴	1	72	yes	—
684	C₂×#41	C₂⁴	1	6	yes	—
685	C₂²×Q₈	C₂⁴	1	2	yes	—
686	C₂²×Q₈	C₂⁴	1	9	yes	—
687	C₂²×Q₈	C₂⁴	1	6	yes	—
688	C₂²×Q₈	C₂⁴	1	2	yes	—
689	C₂²×Q₈	C₂⁴	1	9	yes	—
690	C₂²×Q₈	C₂⁴	1	18	yes	—
691	C₂²×D₄	—	2	72	no	—
692	C₂²×D₄	—	2	72	no	—
693	C₂²×D₄	—	8	12	no	—
694	C₂²×D₄	C₂⁴	1	18	yes	—
695	C₂²×D₄	C₂⁴	1	18	yes	—
696	C₂²×D₄	C₂⁴	1	18	yes	—
697	C₂²×D₄	C₂⁴	1	18	yes	—
698	C₂²×D₄	C₂⁴	1	9	yes	—
699	C₂²×D₄	C₂⁴	1	9	yes	—
700	C₂²×D₄	C₂⁴	1	36	yes	—
701	C₂²×D₄	C₂⁴	1	36	yes	—
702	C₂²×D₄	C₂⁴	1	18	yes	—
703	C₂²×D₄	C₂⁴	1	18	yes	—
704	C₂²×D₄	C₂⁴	1	9	yes	—
705	C₂²×D₄	C₂⁴	1	18	yes	—
706	C₂²×D₄	C₂⁴	1	9	yes	—
707	C₂²×D₄	C₂⁴	1	18	yes	—
708	C₂²×D₄	C₂⁴	1	9	yes	—
709	C₂²×D₄	C₂⁴	1	18	yes	—
710	C₂²×D₄	C₂⁴	1	18	yes	—
711	C₂²×D₄	C₂⁴	1	18	yes	—
712	C₂²×D₄	C₂⁴	1	18	yes	—
713	C₂²×D₄	C₂⁴	1	9	yes	—
714	C₂³×C₄	—	8	12	no	—
715	C₂³×C₄	C₂⁴	1	6	yes	—
716	C₂³×C₄	C₂⁴	1	9	yes	—
717	C₂³×C₄	C₂⁴	1	9	yes	—
718	C₂³×C₄	C₂⁴	1	9	yes	—
719	C₂³×C₄	C₂⁴	1	18	yes	—
720	C₂³×C₄	C₂⁴	1	9	yes	—
721	C₂³×C₄	C₂⁴	1	6	yes	—
722	C₂³×C₄	C₂⁴	1	9	yes	—
723	C₂³×C₄	C₂⁴	1	6	yes	—
724	C₂³×C₄	C₂⁴	1	6	yes	—
725	C₂³×C₄	C₂⁴	1	18	yes	—
726	C₂³×C₄	C₂⁴	1	18	yes	—
727	C₂³×C₄	C₂⁴	1	6	yes	—
728	C₂³×C₄	C₂⁴	1	18	yes	—
729	C₂³×C₄	C₂⁴	1	18	yes	—
730	C₂³×C₄	C₂⁴	1	18	yes	—
731	C₄⋊Q₈	C₂⁴	1	18	yes	—
732	C₄⋊Q₈	C₂⁴	1	36	yes	—
733	C₄⋊Q₈	C₂⁴	1	6	yes	—
734	C₄⋊Q₈	C₂⁴	1	18	yes	—
735	C₄⋊Q₈	C₂⁴	1	18	yes	—
736	C₄⋊Q₈	C₂⁴	1	18	yes	—
737	C₄⋊Q₈	C₂⁴	1	18	yes	—
738	C₄⋊Q₈	C₂⁴	1	18	yes	—
739	C₄⋊Q₈	C₂⁴	1	18	yes	—
740	C₄⋊Q₈	C₂⁴	1	6	yes	—
741	#127	C₂⁴	1	18	yes	—
742	#127	C₂⁴	1	36	yes	—
743	#127	C₂⁴	1	18	yes	—
744	#127	C₂⁴	1	18	yes	—
745	#126	C₂⁴	1	6	yes	—
746	#126	C₂⁴	1	6	yes	—
747	#126	C₂⁴	1	36	yes	—
748	#126	C₂⁴	1	36	yes	—
749	#126	C₂⁴	1	36	yes	—
750	#126	C₂⁴	1	36	yes	—
751	#126	C₂⁴	1	18	yes	—
752	#126	C₂⁴	1	18	yes	—
753	#126	C₂⁴	1	18	yes	—
754	#126	C₂⁴	1	18	yes	—
755	#126	C₂⁴	1	72	yes	—
756	#126	C₂⁴	1	72	yes	—
757	#126	C₂⁴	1	72	yes	—
758	#126	C₂⁴	1	72	yes	—
759	#126	C₂⁴	1	18	yes	—
760	#126	C₂⁴	1	18	yes	—
761	#126	C₂⁴	1	12	yes	—
762	#126	C₂⁴	1	12	yes	—
763	#126	C₂⁴	1	36	yes	—
764	#126	C₂⁴	1	36	yes	—
765	#126	C₂⁴	1	36	yes	—
766	#126	C₂⁴	1	36	yes	—
767	#125	C₂⁴	1	6	yes	—
768	#125	C₂⁴	1	18	yes	—
769	#125	C₂⁴	1	36	yes	—
770	#125	C₂⁴	1	18	yes	—
771	#125	C₂⁴	1	18	yes	—
772	#125	C₂⁴	1	18	yes	—
773	#125	C₂⁴	1	18	yes	—
774	#125	C₂⁴	1	36	yes	—
775	#125	C₂⁴	1	36	yes	—
776	#125	C₂⁴	1	72	yes	—
777	#125	C₂⁴	1	6	yes	—
778	#125	C₂⁴	1	12	yes	—
779	#125	C₂⁴	1	36	yes	—
780	#125	C₂⁴	1	36	yes	—
781	#125	C₂⁴	1	36	yes	—
782	#125	C₂⁴	1	18	yes	—
783	#125	C₂⁴	1	18	yes	—
784	#125	C₂⁴	1	6	yes	—
785	#124	C₂⁴	1	6	yes	—
786	#124	C₂⁴	1	18	yes	—
787	#124	C₂⁴	1	36	yes	—
788	#124	C₂⁴	1	36	yes	—
789	#124	C₂⁴	1	18	yes	—
790	#124	C₂⁴	1	18	yes	—
791	#124	C₂⁴	1	18	yes	—
792	#124	C₂⁴	1	36	yes	—
793	#124	C₂⁴	1	36	yes	—
794	#124	C₂⁴	1	18	yes	—
795	#124	C₂⁴	1	72	yes	—
796	#124	C₂⁴	1	72	yes	—
797	#124	C₂⁴	1	6	yes	—
798	#124	C₂⁴	1	36	yes	—
799	#124	C₂⁴	1	18	yes	—
800	#124	C₂⁴	1	18	yes	—
801	#124	C₂⁴	1	36	yes	—
802	#124	C₂⁴	1	36	yes	—
803	#124	C₂⁴	1	6	yes	—
804	#123	C₂⁴	1	1	yes	characteristic
805	#123	C₂⁴	1	9	yes	—
806	#123	C₂⁴	1	9	yes	—
807	#123	C₂⁴	1	9	yes	—
808	#123	C₂⁴	1	9	yes	—
809	#123	C₂⁴	1	9	yes	—
810	#123	C₂⁴	1	9	yes	—
811	#123	C₂⁴	1	9	yes	—
812	#123	C₂⁴	1	36	yes	—
813	#123	C₂⁴	1	36	yes	—
814	#123	C₂⁴	1	36	yes	—
815	#123	C₂⁴	1	6	yes	—
816	#123	C₂⁴	1	36	yes	—
817	#123	C₂⁴	1	36	yes	—
818	#123	C₂⁴	1	36	yes	—
819	#123	C₂⁴	1	36	yes	—
820	#123	C₂⁴	1	36	yes	—
821	#123	C₂⁴	1	36	yes	—
822	#123	C₂⁴	1	36	yes	—
823	#123	C₂⁴	1	36	yes	—
824	#123	C₂⁴	1	36	yes	—
825	#123	C₂⁴	1	18	yes	—
826	#123	C₂⁴	1	18	yes	—
827	#123	C₂⁴	1	18	yes	—
828	#123	C₂⁴	1	72	yes	—
829	#123	C₂⁴	1	72	yes	—
830	#123	C₂⁴	1	72	yes	—
831	#123	C₂⁴	1	72	yes	—
832	#123	C₂⁴	1	72	yes	—
833	#123	C₂⁴	1	36	yes	—
834	#123	C₂⁴	1	36	yes	—
835	#123	C₂⁴	1	36	yes	—
836	#123	C₂⁴	1	36	yes	—
837	#123	C₂⁴	1	36	yes	—
838	#123	C₂⁴	1	36	yes	—
839	#123	C₂⁴	1	36	yes	—
840	#123	C₂⁴	1	36	yes	—
841	#123	C₂⁴	1	36	yes	—
842	#123	C₂⁴	1	12	yes	—
843	#123	C₂⁴	1	36	yes	—
844	C₂²⋊Q₈	C₂⁴	1	6	yes	—
845	C₂²⋊Q₈	C₂⁴	1	36	yes	—
846	C₂²⋊Q₈	C₂⁴	1	36	yes	—
847	C₂²⋊Q₈	C₂⁴	1	18	yes	—
848	C₂²⋊Q₈	C₂⁴	1	18	yes	—
849	C₂²⋊Q₈	C₂⁴	1	36	yes	—
850	C₂²⋊Q₈	C₂⁴	1	36	yes	—
851	C₂²⋊Q₈	C₂⁴	1	36	yes	—
852	C₂²⋊Q₈	C₂⁴	1	18	yes	—
853	C₂²⋊Q₈	C₂⁴	1	72	yes	—
854	C₂²⋊Q₈	C₂⁴	1	72	yes	—
855	C₂²⋊Q₈	C₂⁴	1	72	yes	—
856	C₂²⋊Q₈	C₂⁴	1	72	yes	—
857	C₂²⋊Q₈	C₂⁴	1	72	yes	—
858	C₂²⋊Q₈	C₂⁴	1	36	yes	—
859	C₂²⋊Q₈	C₂⁴	1	18	yes	—
860	C₂²⋊Q₈	C₂⁴	1	18	yes	—
861	C₂²⋊Q₈	C₂⁴	1	36	yes	—
862	C₂²⋊Q₈	C₂⁴	1	6	yes	—
863	C₂²⋊Q₈	C₂⁴	1	6	yes	—
864	C₂²⋊Q₈	C₂⁴	1	18	yes	—
865	C₂²⋊Q₈	C₂⁴	1	18	yes	—
866	C₂²⋊Q₈	C₂⁴	1	6	yes	—
867	C₂²⋊Q₈	C₂⁴	1	6	yes	—
868	C₂²⋊Q₈	C₂⁴	1	36	yes	—
869	C₂²⋊Q₈	C₂⁴	1	36	yes	—
870	C₂²⋊Q₈	C₂⁴	1	36	yes	—
871	C₂²⋊Q₈	C₂⁴	1	18	yes	—
872	C₂²⋊Q₈	C₂⁴	1	18	yes	—
873	C₂²⋊Q₈	C₂⁴	1	18	yes	—
874	C₂²⋊Q₈	C₂⁴	1	18	yes	—
875	C₂²⋊Q₈	C₂⁴	1	36	yes	—
876	C₂²⋊Q₈	C₂⁴	1	12	yes	—
877	C₂²⋊Q₈	C₂⁴	1	36	yes	—
878	#121	C₂⁴	1	6	yes	—
879	#121	C₂⁴	1	18	yes	—
880	#121	C₂⁴	1	18	yes	—
881	#121	C₂⁴	1	36	yes	—
882	#121	C₂⁴	1	18	yes	—
883	#121	C₂⁴	1	72	yes	—
884	#121	C₂⁴	1	36	yes	—
885	#121	C₂⁴	1	18	yes	—
886	#121	C₂⁴	1	18	yes	—
887	#121	C₂⁴	1	36	yes	—
888	#121	C₂⁴	1	36	yes	—
889	#121	C₂⁴	1	36	yes	—
890	#121	C₂⁴	1	18	yes	—
891	#121	C₂⁴	1	18	yes	—
892	#121	C₂⁴	1	36	yes	—
893	#121	C₂⁴	1	36	yes	—
894	#121	C₂⁴	1	36	yes	—
895	#121	C₂⁴	1	72	yes	—
896	#121	C₂⁴	1	72	yes	—
897	#121	C₂⁴	1	72	yes	—
898	#121	C₂⁴	1	72	yes	—
899	#121	C₂⁴	1	72	yes	—
900	#121	C₂⁴	1	36	yes	—
901	#121	C₂⁴	1	36	yes	—
902	#121	C₂⁴	1	18	yes	—
903	#121	C₂⁴	1	18	yes	—
904	#121	C₂⁴	1	6	yes	—
905	#121	C₂⁴	1	6	yes	—
906	#121	C₂⁴	1	36	yes	—
907	#121	C₂⁴	1	36	yes	—
908	#121	C₂⁴	1	36	yes	—
909	#121	C₂⁴	1	18	yes	—
910	#121	C₂⁴	1	18	yes	—
911	#121	C₂⁴	1	18	yes	—
912	#121	C₂⁴	1	18	yes	—
913	#121	C₂⁴	1	36	yes	—
914	#121	C₂⁴	1	36	yes	—
915	#120	C₂⁴	1	36	yes	—
916	#120	C₂⁴	1	36	yes	—
917	#120	C₂⁴	1	72	yes	—
918	#120	C₂⁴	1	72	yes	—
919	#120	C₂⁴	1	36	yes	—
920	#120	C₂⁴	1	36	yes	—
921	#120	C₂⁴	1	72	yes	—
922	#120	C₂⁴	1	72	yes	—
923	#120	C₂⁴	1	36	yes	—
924	#120	C₂⁴	1	36	yes	—
925	C₄×Q₈	C₂⁴	1	6	yes	—
926	C₄×Q₈	C₂⁴	1	6	yes	—
927	C₄×Q₈	C₂⁴	1	6	yes	—
928	C₄×Q₈	C₂⁴	1	18	yes	—
929	C₄×Q₈	C₂⁴	1	36	yes	—
930	C₄×Q₈	C₂⁴	1	18	yes	—
931	C₄×Q₈	C₂⁴	1	36	yes	—
932	C₄×Q₈	C₂⁴	1	2	yes	—
933	C₄×Q₈	C₂⁴	1	2	yes	—
934	C₄×Q₈	C₂⁴	1	6	yes	—
935	C₄×Q₈	C₂⁴	1	6	yes	—
936	C₄×Q₈	C₂⁴	1	6	yes	—
937	C₄×Q₈	C₂⁴	1	18	yes	—
938	C₄×Q₈	C₂⁴	1	18	yes	—
939	C₄×Q₈	C₂⁴	1	18	yes	—
940	C₄×Q₈	C₂⁴	1	18	yes	—
941	C₄×Q₈	C₂⁴	1	18	yes	—
942	C₄×Q₈	C₂⁴	1	2	yes	—
943	C₄×Q₈	C₂⁴	1	2	yes	—
944	C₄×Q₈	C₂⁴	1	6	yes	—
945	C₄×Q₈	C₂⁴	1	18	yes	—
946	C₄×Q₈	C₂⁴	1	18	yes	—
947	C₄×Q₈	C₂⁴	1	18	yes	—
948	C₄×Q₈	C₂⁴	1	6	yes	—
949	C₄×Q₈	C₂⁴	1	18	yes	—
950	C₄×Q₈	C₂⁴	1	6	yes	—
951	C₄×Q₈	C₂⁴	1	36	yes	—
952	C₄×Q₈	C₂⁴	1	36	yes	—
953	C₄×Q₈	C₂⁴	1	36	yes	—
954	C₄×D₄	C₂⁴	1	6	yes	—
955	C₄×D₄	C₂⁴	1	18	yes	—
956	C₄×D₄	C₂⁴	1	18	yes	—
957	C₄×D₄	C₂⁴	1	18	yes	—
958	C₄×D₄	C₂⁴	1	18	yes	—
959	C₄×D₄	C₂⁴	1	36	yes	—
960	C₄×D₄	C₂⁴	1	36	yes	—
961	C₄×D₄	C₂⁴	1	36	yes	—
962	C₄×D₄	C₂⁴	1	36	yes	—
963	C₄×D₄	C₂⁴	1	18	yes	—
964	C₄×D₄	C₂⁴	1	18	yes	—
965	C₄×D₄	C₂⁴	1	18	yes	—
966	C₄×D₄	C₂⁴	1	36	yes	—
967	C₄×D₄	C₂⁴	1	18	yes	—
968	C₄×D₄	C₂⁴	1	36	yes	—
969	C₄×D₄	C₂⁴	1	18	yes	—
970	C₄×D₄	C₂⁴	1	18	yes	—
971	C₄×D₄	C₂⁴	1	72	yes	—
972	C₄×D₄	C₂⁴	1	36	yes	—
973	C₄×D₄	C₂⁴	1	72	yes	—
974	C₄×D₄	C₂⁴	1	36	yes	—
975	C₄×D₄	C₂⁴	1	6	yes	—
976	C₄×D₄	C₂⁴	1	6	yes	—
977	C₄×D₄	C₂⁴	1	18	yes	—
978	C₄×D₄	C₂⁴	1	36	yes	—
979	C₄×D₄	C₂⁴	1	72	yes	—
980	C₄×D₄	C₂⁴	1	36	yes	—
981	C₄×D₄	C₂⁴	1	18	yes	—
982	C₄×D₄	C₂⁴	1	36	yes	—
983	C₄×D₄	C₂⁴	1	18	yes	—
984	C₄×D₄	C₂⁴	1	36	yes	—
985	C₄×D₄	C₂⁴	1	72	yes	—
986	C₄×D₄	C₂⁴	1	18	yes	—
987	C₄×D₄	C₂⁴	1	36	yes	—
988	C₄×D₄	C₂⁴	1	36	yes	—
989	C₄×D₄	C₂⁴	1	18	yes	—
990	C₄×D₄	C₂⁴	1	36	yes	—
991	C₄×D₄	C₂⁴	1	72	yes	—
992	C₄×D₄	C₂⁴	1	18	yes	—
993	C₄×D₄	C₂⁴	1	36	yes	—
994	C₄×D₄	C₂⁴	1	72	yes	—
995	C₄×D₄	C₂⁴	1	18	yes	—
996	C₄×D₄	C₂⁴	1	36	yes	—
997	C₄×D₄	C₂⁴	1	36	yes	—
998	C₄×D₄	C₂⁴	1	36	yes	—
999	C₄×D₄	C₂⁴	1	18	yes	—
1000	C₄×D₄	C₂⁴	1	36	yes	—
1001	C₄×D₄	C₂⁴	1	18	yes	—
1002	C₄×D₄	C₂⁴	1	36	yes	—
1003	C₄×D₄	C₂⁴	1	18	yes	—
1004	C₄×D₄	C₂⁴	1	18	yes	—
1005	C₄×D₄	C₂⁴	1	18	yes	—
1006	C₄×D₄	C₂⁴	1	72	yes	—
1007	C₄×D₄	C₂⁴	1	72	yes	—
1008	C₄×D₄	C₂⁴	1	18	yes	—
1009	C₄×D₄	C₂⁴	1	18	yes	—
1010	C₄×D₄	C₂⁴	1	18	yes	—
1011	C₄×D₄	C₂⁴	1	72	yes	—
1012	C₄×D₄	C₂⁴	1	18	yes	—
1013	C₄×D₄	C₂⁴	1	18	yes	—
1014	C₄×D₄	C₂⁴	1	36	yes	—
1015	C₄×D₄	C₂⁴	1	6	yes	—
1016	C₄×D₄	C₂⁴	1	36	yes	—
1017	C₄×D₄	C₂⁴	1	6	yes	—
1018	C₄×D₄	C₂⁴	1	12	yes	—
1019	C₄×D₄	C₂⁴	1	36	yes	—
1020	C₄×D₄	C₂⁴	1	36	yes	—
1021	C₄×D₄	C₂⁴	1	36	yes	—
1022	C₄×D₄	C₂⁴	1	36	yes	—
1023	C₄×D₄	C₂⁴	1	36	yes	—
1024	#117	C₂⁴	1	18	yes	—
1025	#117	C₂⁴	1	18	yes	—
1026	#117	C₂⁴	1	6	yes	—
1027	#117	C₂⁴	1	18	yes	—
1028	#117	C₂⁴	1	6	yes	—
1029	#117	C₂⁴	1	6	yes	—
1030	#117	C₂⁴	1	18	yes	—
1031	#117	C₂⁴	1	36	yes	—
1032	#117	C₂⁴	1	36	yes	—
1033	#117	C₂⁴	1	36	yes	—
1034	#117	C₂⁴	1	18	yes	—
1035	#117	C₂⁴	1	18	yes	—
1036	#117	C₂⁴	1	18	yes	—
1037	#117	C₂⁴	1	18	yes	—
1038	#117	C₂⁴	1	36	yes	—
1039	#117	C₂⁴	1	18	yes	—
1040	#117	C₂⁴	1	36	yes	—
1041	#117	C₂⁴	1	36	yes	—
1042	#117	C₂⁴	1	36	yes	—
1043	#117	C₂⁴	1	18	yes	—
1044	#117	C₂⁴	1	18	yes	—
1045	#117	C₂⁴	1	18	yes	—
1046	#117	C₂⁴	1	18	yes	—
1047	#117	C₂⁴	1	72	yes	—
1048	#117	C₂⁴	1	18	yes	—
1049	#117	C₂⁴	1	18	yes	—
1050	#117	C₂⁴	1	72	yes	—
1051	#117	C₂⁴	1	72	yes	—
1052	#117	C₂⁴	1	12	yes	—
1053	#117	C₂⁴	1	36	yes	—
1054	#117	C₂⁴	1	36	yes	—
1055	#117	C₂⁴	1	36	yes	—
1056	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1057	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1058	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1059	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1060	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1061	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1062	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1063	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1064	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1065	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1066	C₂×C₄⋊C₄	C₂⁴	1	36	yes	—
1067	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1068	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1069	C₂×C₄⋊C₄	C₂⁴	1	36	yes	—
1070	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1071	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1072	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
1073	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1074	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
1075	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1076	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1077	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1078	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1079	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1080	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1081	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1082	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1083	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1084	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1085	C₂×C₄⋊C₄	C₂⁴	1	18	yes	—
1086	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1087	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1088	C₂×C₄⋊C₄	C₂⁴	1	9	yes	—
1089	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1090	C₂×C₂²⋊C₄	C₂⁴	1	36	yes	—
1091	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1092	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1093	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1094	C₂×C₂²⋊C₄	C₂⁴	1	36	yes	—
1095	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1096	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1097	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1098	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1099	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1100	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1101	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1102	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1103	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1104	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1105	C₂×C₂²⋊C₄	C₂⁴	1	72	yes	—
1106	C₂×C₂²⋊C₄	C₂⁴	1	72	yes	—
1107	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1108	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1109	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1110	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1111	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1112	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1113	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1114	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1115	C₂×C₂²⋊C₄	C₂⁴	1	36	yes	—
1116	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1117	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1118	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1119	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1120	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1121	C₂×C₂²⋊C₄	C₂⁴	1	18	yes	—
1122	C₂×C₂²⋊C₄	C₂⁴	1	9	yes	—
1123	C₂×C₄²	C₂⁴	1	9	yes	—
1124	C₂×C₄²	C₂⁴	1	18	yes	—
1125	C₂×C₄²	C₂⁴	1	18	yes	—
1126	C₂×C₄²	C₂⁴	1	18	yes	—
1127	C₂×C₄²	C₂⁴	1	18	yes	—
1128	C₂×C₄²	C₂⁴	1	9	yes	—
1129	C₂×C₄²	C₂⁴	1	9	yes	—
1130	C₂×C₄²	C₂⁴	1	9	yes	—
1131	C₂×C₄²	C₂⁴	1	36	yes	—
1132	C₂×C₄²	C₂⁴	1	36	yes	—
1133	C₂×C₄²	C₂⁴	1	9	yes	—
1134	C₂×C₄²	C₂⁴	1	6	yes	—
1135	C₂×C₄²	C₂⁴	1	18	yes	—
1136	C₂×C₄²	C₂⁴	1	9	yes	—
1137	C₂×C₄²	C₂⁴	1	18	yes	—
1138	C₂⁴	—	2	24	no	—
1139	C₂⁴	—	2	24	no	—
1140	C₂⁴	—	4	12	no	—
1141	C₂⁴	—	8	6	no	—
1142	C₂⁴	—	8	6	no	—
1143	C₂⁴	—	8	6	no	—
1144	C₂⁴	C₂⁵	1	9	yes	—
1145	C₂⁴	C₂⁵	1	9	yes	—
1146	C₂⁴	C₂⁵	1	18	yes	—
1147	C₂⁴	C₂⁵	1	18	yes	—
1148	C₂⁴	C₂⁵	1	9	yes	—
1149	C₂⁴	C₂⁵	1	6	yes	—
1150	#41	—	2	8	no	—
1151	#41	—	2	24	no	—
1152	#41	—	2	24	no	—
1153	#41	—	2	72	no	—
1154	#41	—	2	72	no	—
1155	#41	—	2	72	no	—
1156	#41	—	2	144	no	—
1157	#41	—	2	72	no	—
1158	#41	—	2	72	no	—
1159	#41	—	2	72	no	—
1160	#41	—	4	72	no	—
1161	#41	—	8	72	no	—
1162	#41	—	8	36	no	—
1163	#41	C₂×#41	1	48	yes	complemented
1164	C₂×Q₈	—	2	8	no	—
1165	C₂×Q₈	—	2	8	no	—
1166	C₂×Q₈	—	2	24	no	—
1167	C₂×Q₈	—	2	36	no	—
1168	C₂×Q₈	—	8	9	no	—
1169	C₂×Q₈	—	8	18	no	—
1170	C₂×Q₈	C₂⁵	1	18	yes	—
1171	C₂×Q₈	C₂⁵	1	6	yes	—
1172	C₂×Q₈	C₂⁵	1	6	yes	—
1173	C₂×Q₈	C₂⁵	1	6	yes	—
1174	C₂×Q₈	C₂⁵	1	18	yes	—
1175	C₂×Q₈	C₂⁵	1	36	yes	—
1176	C₂×Q₈	C₂⁵	1	2	yes	—
1177	C₂×D₄	—	2	72	no	—
1178	C₂×D₄	—	2	72	no	—
1179	C₂×D₄	—	2	72	no	—
1180	C₂×D₄	—	2	72	no	—
1181	C₂×D₄	—	2	72	no	—
1182	C₂×D₄	—	2	144	no	—
1183	C₂×D₄	—	2	144	no	—
1184	C₂×D₄	—	2	72	no	—
1185	C₂×D₄	—	2	36	no	—
1186	C₂×D₄	—	2	36	no	—
1187	C₂×D₄	—	4	18	no	—
1188	C₂×D₄	—	4	36	no	—
1189	C₂×D₄	—	4	18	no	—
1190	C₂×D₄	—	8	18	no	—
1191	C₂×D₄	—	8	18	no	—
1192	C₂×D₄	—	8	18	no	—
1193	C₂×D₄	—	8	9	no	—
1194	C₂×D₄	—	8	18	no	—
1195	C₂×D₄	—	8	18	no	—
1196	C₂×D₄	C₂×#41	1	72	yes	complemented
1197	C₂×D₄	C₂⁵	1	36	yes	—
1198	C₂×D₄	C₂⁵	1	36	yes	—
1199	C₂×D₄	C₂⁵	1	36	yes	—
1200	C₂×D₄	C₂⁵	1	18	yes	—
1201	C₂×D₄	C₂⁵	1	18	yes	—
1202	C₂×D₄	C₂⁵	1	6	yes	—
1203	C₂×D₄	C₂⁵	1	6	yes	—
1204	C₂×D₄	C₂⁵	1	9	yes	—
1205	C₂×D₄	C₂⁵	1	1	yes	characteristic
1206	C₂×D₄	C₂⁵	1	6	yes	—
1207	C₂×D₄	C₂⁵	1	18	yes	—
1208	C₂×D₄	C₂⁵	1	36	yes	—
1209	C₂×D₄	C₂⁵	1	36	yes	—
1210	C₂×D₄	C₂⁵	1	18	yes	—
1211	C₂×D₄	C₂⁵	1	36	yes	—
1212	C₂×D₄	C₂⁵	1	9	yes	—
1213	C₂×D₄	C₂⁵	1	36	yes	—
1214	C₂×D₄	C₂⁵	1	9	yes	—
1215	C₂×D₄	C₂⁵	1	18	yes	—
1216	C₂²×C₄	—	2	24	no	—
1217	C₂²×C₄	—	2	36	no	—
1218	C₂²×C₄	—	2	36	no	—
1219	C₂²×C₄	—	2	36	no	—
1220	C₂²×C₄	—	4	18	no	—
1221	C₂²×C₄	—	4	36	no	—
1222	C₂²×C₄	—	8	6	no	—
1223	C₂²×C₄	—	8	18	no	—
1224	C₂²×C₄	—	8	6	no	—
1225	C₂²×C₄	—	8	18	no	—
1226	C₂²×C₄	—	8	9	no	—
1227	C₂²×C₄	—	8	18	no	—
1228	C₂²×C₄	—	8	6	no	—
1229	C₂²×C₄	—	8	6	no	—
1230	C₂²×C₄	—	8	18	no	—
1231	C₂²×C₄	—	8	18	no	—
1232	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁵	1	6	yes	—
1234	C₂²×C₄	C₂⁵	1	18	yes	—
1235	C₂²×C₄	C₂⁵	1	9	yes	—
1236	C₂²×C₄	C₂⁵	1	9	yes	—
1237	C₂²×C₄	C₂⁵	1	9	yes	—
1238	C₂²×C₄	C₂⁵	1	18	yes	—
1239	C₂²×C₄	C₂⁵	1	18	yes	—
1240	C₂²×C₄	C₂⁵	1	18	yes	—
1241	C₂²×C₄	C₂⁵	1	9	yes	—
1242	C₂²×C₄	C₂⁵	1	6	yes	—
1243	C₂²×C₄	C₂⁵	1	6	yes	—
1244	C₂²×C₄	C₂⁵	1	9	yes	—
1245	C₂²×C₄	C₂⁵	1	6	yes	—
1246	C₂²×C₄	C₂⁵	1	9	yes	—
1247	C₂²×C₄	C₂⁵	1	12	yes	—
1248	C₂²×C₄	C₂⁵	1	9	yes	—
1249	C₂²×C₄	C₂⁵	1	9	yes	—
1250	C₂²×C₄	C₂⁵	1	18	yes	—
1251	C₂²×C₄	C₂⁵	1	9	yes	—
1252	C₂²×C₄	C₂⁵	1	18	yes	—
1253	C₂²×C₄	C₂⁵	1	9	yes	—
1254	C₂²×C₄	C₂⁵	1	9	yes	—
1255	C₂²×C₄	C₂⁵	1	9	yes	—
1256	C₂²×C₄	C₂⁵	1	18	yes	—
1257	C₂²×C₄	C₂⁵	1	9	yes	—
1258	C₂²×C₄	C₂⁵	1	18	yes	—
1259	C₂²×C₄	C₂⁵	1	36	yes	—
1260	C₂²×C₄	C₂⁵	1	36	yes	—
1261	C₂²×C₄	C₂⁵	1	9	yes	—
1262	C₂²×C₄	C₂⁵	1	36	yes	—
1263	C₂²×C₄	C₂⁵	1	18	yes	—
1264	C₂²×C₄	C₂⁵	1	36	yes	—
1265	C₂²×C₄	C₂⁵	1	9	yes	—
1266	C₄⋊C₄	C₂⁵	1	18	yes	—
1267	C₄⋊C₄	C₂⁵	1	9	yes	—
1268	C₄⋊C₄	C₂⁵	1	1	yes	characteristic
1269	C₄⋊C₄	C₂⁵	1	1	yes	characteristic
1270	C₄⋊C₄	C₂⁵	1	6	yes	—
1271	C₄⋊C₄	C₂⁵	1	6	yes	—
1272	C₄⋊C₄	C₂⁵	1	9	yes	—
1273	C₄⋊C₄	C₂⁵	1	18	yes	—
1274	C₄⋊C₄	C₂⁵	1	36	yes	—
1275	C₄⋊C₄	C₂⁵	1	18	yes	—
1276	C₄⋊C₄	C₂⁵	1	36	yes	—
1277	C₄⋊C₄	C₂⁵	1	9	yes	—
1278	C₄⋊C₄	C₂⁵	1	9	yes	—
1279	C₄⋊C₄	C₂⁵	1	9	yes	—
1280	C₄⋊C₄	C₂⁵	1	9	yes	—
1281	C₄⋊C₄	C₂⁵	1	18	yes	—
1282	C₄⋊C₄	C₂⁵	1	6	yes	—
1283	C₄⋊C₄	C₂⁵	1	6	yes	—
1284	C₄⋊C₄	C₂⁵	1	18	yes	—
1285	C₄⋊C₄	C₂⁵	1	6	yes	—
1286	C₄⋊C₄	C₂⁵	1	18	yes	—
1287	C₄⋊C₄	C₂⁵	1	6	yes	—
1288	C₄⋊C₄	C₂⁵	1	36	yes	—
1289	C₄⋊C₄	C₂⁵	1	6	yes	—
1290	C₄⋊C₄	C₂⁵	1	6	yes	—
1291	C₄⋊C₄	C₂⁵	1	6	yes	—
1292	C₄⋊C₄	C₂⁵	1	6	yes	—
1293	C₄⋊C₄	C₂⁵	1	36	yes	—
1294	C₄⋊C₄	C₂⁵	1	36	yes	—
1295	C₄⋊C₄	C₂⁵	1	36	yes	—
1296	C₄⋊C₄	C₂⁵	1	36	yes	—
1297	C₄⋊C₄	C₂⁵	1	6	yes	—
1298	C₄⋊C₄	C₂⁵	1	12	yes	—
1299	C₄⋊C₄	C₂⁵	1	6	yes	—
1300	C₄⋊C₄	C₂⁵	1	18	yes	—
1301	C₄⋊C₄	C₂⁵	1	18	yes	—
1302	C₄⋊C₄	C₂⁵	1	18	yes	—
1303	C₄⋊C₄	C₂⁵	1	18	yes	—
1304	C₄⋊C₄	C₂⁵	1	18	yes	—
1305	C₄⋊C₄	C₂⁵	1	18	yes	—
1306	C₄⋊C₄	C₂⁵	1	12	yes	—
1307	C₄⋊C₄	C₂⁵	1	12	yes	—
1308	C₂²⋊C₄	C₂⁵	1	36	yes	—
1309	C₂²⋊C₄	C₂⁵	1	9	yes	—
1310	C₂²⋊C₄	C₂⁵	1	6	yes	—
1311	C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
1312	C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
1313	C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
1314	C₂²⋊C₄	C₂⁵	1	9	yes	—
1315	C₂²⋊C₄	C₂⁵	1	9	yes	—
1316	C₂²⋊C₄	C₂⁵	1	36	yes	—
1317	C₂²⋊C₄	C₂⁵	1	36	yes	—
1318	C₂²⋊C₄	C₂⁵	1	36	yes	—
1319	C₂²⋊C₄	C₂⁵	1	9	yes	—
1320	C₂²⋊C₄	C₂⁵	1	36	yes	—
1321	C₂²⋊C₄	C₂⁵	1	36	yes	—
1322	C₂²⋊C₄	C₂⁵	1	18	yes	—
1323	C₂²⋊C₄	C₂⁵	1	9	yes	—
1324	C₂²⋊C₄	C₂⁵	1	9	yes	—
1325	C₂²⋊C₄	C₂⁵	1	9	yes	—
1326	C₂²⋊C₄	C₂⁵	1	9	yes	—
1327	C₂²⋊C₄	C₂⁵	1	9	yes	—
1328	C₂²⋊C₄	C₂⁵	1	6	yes	—
1329	C₂²⋊C₄	C₂⁵	1	36	yes	—
1330	C₂²⋊C₄	C₂⁵	1	6	yes	—
1331	C₂²⋊C₄	C₂⁵	1	18	yes	—
1332	C₂²⋊C₄	C₂⁵	1	6	yes	—
1333	C₂²⋊C₄	C₂⁵	1	18	yes	—
1334	C₂²⋊C₄	C₂⁵	1	6	yes	—
1335	C₂²⋊C₄	C₂⁵	1	36	yes	—
1336	C₂²⋊C₄	C₂⁵	1	36	yes	—
1337	C₂²⋊C₄	C₂⁵	1	6	yes	—
1338	C₂²⋊C₄	C₂⁵	1	6	yes	—
1339	C₂²⋊C₄	C₂⁵	1	36	yes	—
1340	C₂²⋊C₄	C₂⁵	1	36	yes	—
1341	C₂²⋊C₄	C₂⁵	1	36	yes	—
1342	C₂²⋊C₄	C₂⁵	1	36	yes	—
1343	C₂²⋊C₄	C₂⁵	1	18	yes	—
1344	C₂²⋊C₄	C₂⁵	1	18	yes	—
1345	C₂²⋊C₄	C₂⁵	1	18	yes	—
1346	C₂²⋊C₄	C₂⁵	1	18	yes	—
1347	C₂²⋊C₄	C₂⁵	1	12	yes	—
1348	C₂²⋊C₄	C₂⁵	1	12	yes	—
1349	C₄²	C₂⁵	1	6	yes	—
1350	C₄²	C₂⁵	1	18	yes	—
1351	C₄²	C₂⁵	1	6	yes	—
1352	C₄²	C₂⁵	1	6	yes	—
1353	C₄²	C₂⁵	1	6	yes	—
1354	C₄²	C₂⁵	1	36	yes	—
1355	C₄²	C₂⁵	1	18	yes	—
1356	C₄²	C₂⁵	1	18	yes	—
1357	C₄²	C₂⁵	1	36	yes	—
1358	C₄²	C₂⁵	1	12	yes	—
1359	C₄²	C₂⁵	1	36	yes	—
1360	C₄²	C₂⁵	1	6	yes	—
1361	C₄²	C₂⁵	1	18	yes	—
1362	C₄²	C₂⁵	1	18	yes	—
1363	C₄²	C₂⁵	1	18	yes	—
1364	C₄²	C₂⁵	1	6	yes	—
1365	C₂³	—	2	18	no	—
1366	C₂³	—	2	18	no	—
1367	C₂³	—	2	18	no	—
1368	C₂³	—	2	18	no	—
1369	C₂³	—	2	36	no	—
1370	C₂³	—	2	36	no	—
1371	C₂³	—	4	6	no	—
1372	C₂³	—	4	6	no	—
1373	C₂³	—	4	9	no	—
1374	C₂³	—	4	9	no	—
1375	C₂³	—	4	18	no	—
1376	C₂³	—	4	18	no	—
1377	C₂³	—	4	18	no	—
1378	C₂³	—	4	9	no	—
1379	C₂³	—	4	9	no	—
1380	C₂³	—	4	18	no	—
1381	C₂³	—	4	9	no	—
1382	C₂³	—	8	48	no	—
1383	C₂³	—	16	24	no	—
1384	C₂³	C₂²×#41	1	24	yes	—
1385	C₂³	C₂⁶	1	1	yes	characteristic
1386	C₂³	C₂⁶	1	9	yes	—
1387	C₂³	C₂⁶	1	9	yes	—
1388	C₂³	C₂⁶	1	6	yes	—
1389	C₂³	C₂⁶	1	9	yes	—
1390	C₂³	C₂⁶	1	1	yes	characteristic
1391	Q₈	—	2	36	no	—
1392	Q₈	—	2	12	no	—
1393	Q₈	—	2	12	no	—
1394	Q₈	—	4	6	no	—
1395	Q₈	—	4	36	no	—
1396	Q₈	—	4	18	no	—
1397	Q₈	C₂²×#41	1	8	yes	—
1398	D₄	—	2	72	no	—
1399	D₄	—	2	72	no	—
1400	D₄	—	2	72	no	—
1401	D₄	—	2	2	no	—
1402	D₄	—	2	18	no	—
1403	D₄	—	2	12	no	—
1404	D₄	—	2	36	no	—
1405	D₄	—	2	36	no	—
1406	D₄	—	2	12	no	—
1407	D₄	—	4	9	no	—
1408	D₄	—	4	9	no	—
1409	D₄	—	4	36	no	—
1410	D₄	—	4	18	no	—
1411	D₄	—	4	6	no	—
1412	D₄	—	4	36	no	—
1413	D₄	—	4	36	no	—
1414	D₄	—	4	36	no	—
1415	D₄	—	4	18	no	—
1416	D₄	C₂²×#41	1	72	yes	—
1417	C₂×C₄	—	2	18	no	—
1418	C₂×C₄	—	2	18	no	—
1419	C₂×C₄	—	2	18	no	—
1420	C₂×C₄	—	2	36	no	—
1421	C₂×C₄	—	2	2	no	—
1422	C₂×C₄	—	2	18	no	—
1423	C₂×C₄	—	2	12	no	—
1424	C₂×C₄	—	2	12	no	—
1425	C₂×C₄	—	2	12	no	—
1426	C₂×C₄	—	2	36	no	—
1427	C₂×C₄	—	2	36	no	—
1428	C₂×C₄	—	2	36	no	—
1429	C₂×C₄	—	4	9	no	—
1430	C₂×C₄	—	4	18	no	—
1431	C₂×C₄	—	4	9	no	—
1432	C₂×C₄	—	4	9	no	—
1433	C₂×C₄	—	4	9	no	—
1434	C₂×C₄	—	4	18	no	—
1435	C₂×C₄	—	4	36	no	—
1436	C₂×C₄	—	4	9	no	—
1437	C₂×C₄	—	4	6	no	—
1438	C₂×C₄	—	4	9	no	—
1439	C₂×C₄	—	4	18	no	—
1440	C₂×C₄	—	4	9	no	—
1441	C₂×C₄	—	4	18	no	—
1442	C₂×C₄	—	4	9	no	—
1443	C₂×C₄	—	4	36	no	—
1444	C₂×C₄	—	4	36	no	—
1445	C₂×C₄	—	4	36	no	—
1446	C₂×C₄	—	4	9	no	—
1447	C₂×C₄	—	4	18	no	—
1448	C₂×C₄	—	4	9	no	—
1449	C₂×C₄	—	4	12	no	—
1450	C₂×C₄	C₂²×#41	1	36	yes	—
1451	C₂×C₄	C₂⁶	1	6	yes	—
1452	C₂×C₄	C₂⁶	1	1	yes	characteristic
1453	C₂×C₄	C₂⁶	1	9	yes	—
1454	C₂×C₄	C₂⁶	1	1	yes	characteristic
1455	C₂×C₄	C₂⁶	1	6	yes	—
1456	C₂×C₄	C₂⁶	1	9	yes	—
1457	C₂×C₄	C₂⁶	1	6	yes	—
1458	C₂×C₄	C₂⁶	1	6	yes	—
1459	C₂×C₄	C₂⁶	1	6	yes	—
1460	C₂×C₄	C₂⁶	1	1	yes	characteristic
1461	C₂×C₄	C₂⁶	1	9	yes	—
1462	C₂×C₄	C₂⁶	1	6	yes	—
1463	C₂×C₄	C₂⁶	1	9	yes	—
1464	C₂×C₄	C₂⁶	1	1	yes	characteristic
1465	C₂×C₄	C₂⁶	1	9	yes	—
1466	C₂×C₄	C₂⁶	1	1	yes	characteristic
1467	C₂×C₄	C₂⁶	1	6	yes	—
1468	C₂²	—	2	1	no	—
1469	C₂²	—	2	9	no	—
1470	C₂²	—	2	1	no	—
1471	C₂²	—	2	9	no	—
1472	C₂²	—	2	1	no	—
1473	C₂²	—	2	6	no	—
1474	C₂²	—	2	9	no	—
1475	C₂²	—	2	9	no	—
1476	C₂²	—	2	6	no	—
1477	C₂²	—	2	9	no	—
1478	C₂²	—	2	9	no	—
1479	C₂²	—	2	1	no	—
1480	C₂²	—	2	9	no	—
1481	C₂²	—	2	6	no	—
1482	C₂²	—	2	9	no	—
1483	C₂²	—	2	1	no	—
1484	C₂²	—	4	24	no	—
1485	C₂²	—	4	36	no	—
1486	C₂²	—	8	18	no	—
1487	C₂²	—	8	36	no	—
1488	C₂²	—	8	36	no	—
1489	C₂²	—	8	18	no	—
1490	C₂²	C₂³×#41	1	18	yes	—
1491	C₂²	H(7,𝔽₂)	1	2	yes	—
1492	C₂²	C₂⁷	1	1	yes	characteristic
1493	C₄	—	2	1	no	—
1494	C₄	—	2	6	no	—
1495	C₄	—	2	6	no	—
1496	C₄	—	2	9	no	—
1497	C₄	—	2	1	no	—
1498	C₄	—	2	1	no	—
1499	C₄	—	2	9	no	—
1500	C₄	—	2	9	no	—
1501	C₄	—	2	1	no	—
1502	C₄	—	2	9	no	—
1503	C₄	—	2	6	no	—
1504	C₄	—	2	6	no	—
1505	C₄	—	2	9	no	—
1506	C₄	—	2	1	no	—
1507	C₄	—	2	6	no	—
1508	C₄	—	2	6	no	—
1509	C₄	C₂³×#41	1	12	yes	—
1510	C₂	—	2	2	no	—
1511	C₂	—	2	18	no	—
1512	C₂	—	4	9	no	—
1513	C₂	—	4	6	no	—
1514	C₂	—	4	9	no	—
1515	C₂	—	4	1	no	—
1516	C₂	C₂⁴×#41	1	1	yes	characteristic
1517	C₂	C₂×H(7,𝔽₂)	1	1	yes	characteristic
1518	C₂	#63103	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂²	C₂⁷
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #63010	C₂	semidirect
2. #63008	C₂	semidirect
3. #62993	C₂	semidirect
4. #62992	C₂	semidirect
5. #62990	C₂	semidirect
6. #62990	C₂	semidirect
7. #62989	C₂	semidirect
8. #62987	C₂	semidirect
9. #62987	C₂	semidirect
10. #62985	C₂	semidirect
11. #62983	C₂	semidirect
12. D₄×H(5,𝔽₂)	C₂	semidirect
13. #62858	C₂	semidirect
14. #62857	C₂	semidirect
15. #62847	C₂	semidirect
16. #62846	C₂	semidirect
17. #62816	C₂	semidirect
18. #62810	C₂	semidirect
19. #62773	C₂	semidirect
20. C₂×#3513	C₂	semidirect
21. #62654	C₂	semidirect
22. #62652	C₂	semidirect
23. C₂×C₄×H(5,𝔽₂)	C₂	semidirect
27. #3524	C₂²	semidirect
28. #3524	C₂²	semidirect
29. #3524	C₂²	semidirect
30. #3524	C₂²	semidirect
31. #3523	C₂²	semidirect
32. #3522	C₂²	semidirect
33. #3522	C₂²	semidirect
34. #3521	C₂²	semidirect
35. #3521	C₂²	semidirect
36. #3521	C₂²	semidirect
37. #3521	C₂²	semidirect
38. #3521	C₂²	semidirect
39. #3521	C₂²	semidirect
40. #3520	C₂²	semidirect
41. #3520	C₂²	semidirect
42. #3520	C₂²	semidirect
43. #3519	C₂²	semidirect
44. #3519	C₂²	semidirect
45. #3519	C₂²	semidirect
46. #3519	C₂²	semidirect
47. #3518	C₂²	semidirect
48. #3517	C₂²	semidirect
49. #3517	C₂²	semidirect
50. #3516	C₂²	semidirect
51. #3516	C₂²	semidirect
52. #3516	C₂²	semidirect
53. #3515	C₂²	semidirect
54. #3515	C₂²	semidirect
55. #3514	C₂²	semidirect
56. #3514	C₂²	semidirect
57. #3514	C₂²	semidirect
58. #3513	C₂²	semidirect
59. #3513	C₂²	semidirect
60. #3513	C₂²	semidirect
61. #3513	C₂²	semidirect
62. #3513	C₂²	semidirect
63. #3513	C₂²	semidirect
64. #3513	C₂²	semidirect
65. #3513	C₂²	semidirect
66. #3513	C₂²	semidirect
67. #3513	C₂²	semidirect
68. #3513	C₂²	semidirect
69. #3513	C₂²	semidirect
70. #3512	C₂²	semidirect
71. #3512	C₂²	semidirect
72. #3511	C₂²	semidirect
73. #3510	C₂²	semidirect
74. #3510	C₂²	semidirect
75. #3508	C₂²	semidirect
76. #3507	C₂²	semidirect
77. #3506	C₂²	semidirect
78. #3506	C₂²	semidirect
79. #3505	C₂²	semidirect
80. #3505	C₂²	semidirect
81. #3505	C₂²	semidirect
82. #3504	C₂²	semidirect
83. #3504	C₂²	semidirect
84. #3503	C₂²	semidirect
85. #3501	C₂²	semidirect
86. #3501	C₂²	semidirect
87. #3501	C₂²	semidirect
88. #3500	C₂²	semidirect
89. #3500	C₂²	semidirect
90. #3498	C₂²	semidirect
91. #3496	C₂²	semidirect
92. #3496	C₂²	semidirect
93. #3496	C₂²	semidirect
94. #3495	C₂²	semidirect
95. #3495	C₂²	semidirect
96. #3494	C₂²	semidirect
97. #3494	C₂²	semidirect
98. #3494	C₂²	semidirect
99. #3494	C₂²	semidirect
100. #3493	C₂²	semidirect
101. #3492	C₂²	semidirect
102. #3492	C₂²	semidirect
103. #3491	C₂²	semidirect
104. #3490	C₂²	semidirect
105. #3490	C₂²	semidirect
106. #3489	C₂²	semidirect
107. #3489	C₂²	semidirect
108. #3488	C₂²	semidirect
109. #3488	C₂²	semidirect
110. #3488	C₂²	semidirect
111. #3488	C₂²	semidirect
112. #3485	C₂²	semidirect
113. #3485	C₂²	semidirect
114. #3484	C₂²	semidirect
115. #3484	C₂²	semidirect
116. #3484	C₂²	semidirect
117. #3484	C₂²	semidirect
118. #3482	C₂²	semidirect
119. #3481	C₂²	semidirect
120. #3481	C₂²	semidirect
121. #3481	C₂²	semidirect
122. #3480	C₂²	semidirect
123. #3480	C₂²	semidirect
124. C₂×#559	C₂²	semidirect
125. Q₈×#41	C₂²	semidirect
126. #3475	C₂²	semidirect
127. #3475	C₂²	semidirect
128. #3475	C₂²	semidirect
129. #3475	C₂²	semidirect
130. #3475	C₂²	semidirect
131. C₂×#554	C₂²	semidirect
132. C₂×#553	C₂²	semidirect
133. C₂×#553	C₂²	semidirect
134. C₂×#552	C₂²	semidirect
135. C₂×#551	C₂²	semidirect
136. C₂×#551	C₂²	semidirect
137. D₄×#41	C₂²	semidirect
138. D₄×#41	C₂²	semidirect
139. D₄×#41	C₂²	semidirect
140. D₄×#41	C₂²	semidirect
141. C₂×#547	C₂²	semidirect
142. C₂×#546	C₂²	semidirect
143. C₂×#546	C₂²	semidirect
144. C₂×#546	C₂²	semidirect
145. C₂×D₄²	C₂²	semidirect
146. #3461	C₂²	semidirect
147. #3460	C₂²	semidirect
148. #3460	C₂²	semidirect
149. #3459	C₂²	semidirect
150. #3455	C₂²	semidirect
151. #3455	C₂²	semidirect
152. C₂×#542	C₂²	semidirect
153. C₂×#540	C₂²	semidirect
154. C₂×#539	C₂²	semidirect
155. C₂×#538	C₂²	semidirect
156. #3444	C₂²	semidirect
157. C₂×#529	C₂²	semidirect
158. C₂×#529	C₂²	semidirect
159. C₂×#525	C₂²	semidirect
160. C₂²×#123	C₂²	semidirect
161. C₄×2₋¹⁺⁴	C₂²	semidirect
162. C₄×2₋¹⁺⁴	C₂²	semidirect
167. C₄×H(5,𝔽₂)	C₂²	semidirect
168. C₄×H(5,𝔽₂)	C₂²	semidirect
169. C₄×H(5,𝔽₂)	C₂²	semidirect
170. C₄×H(5,𝔽₂)	C₂²	semidirect
171. C₄×H(5,𝔽₂)	C₂²	semidirect
172. C₄×H(5,𝔽₂)	C₂²	semidirect
173. C₄×H(5,𝔽₂)	C₂²	semidirect
174. C₄×H(5,𝔽₂)	C₂²	semidirect
175. C₄×H(5,𝔽₂)	C₂²	semidirect
176. C₄×H(5,𝔽₂)	C₂²	semidirect
177. #3428	C₂²	semidirect
178. #3428	C₂²	semidirect
179. #3428	C₂²	semidirect
180. #3428	C₂²	semidirect
181. C₂×#520	C₂²	semidirect
182. C₂×#520	C₂²	semidirect
183. C₂×#520	C₂²	semidirect
184. C₂×#518	C₂²	semidirect
185. C₂×#518	C₂²	semidirect
186. C₂×#518	C₂²	semidirect
187. C₂×C₄×#41	C₂²	semidirect
188. C₂²×C₄×D₄	C₂²	semidirect
203. C₂²×#41	C₂³	semidirect
207. C₂⁴×C₄	C₂³	semidirect
208. #559	C₂³	semidirect
209. #559	C₂³	semidirect
210. #559	C₂³	semidirect
211. #559	C₂³	semidirect
212. #559	C₂³	semidirect
213. #559	C₂³	semidirect
214. #559	C₂³	semidirect
215. Q₈²	C₂³	semidirect
216. #557	C₂³	semidirect
217. #557	C₂³	semidirect
218. #557	C₂³	semidirect
219. #557	C₂³	semidirect
220. #557	C₂³	semidirect
221. #556	C₂³	semidirect
222. #556	C₂³	semidirect
223. #556	C₂³	semidirect
224. #556	C₂³	semidirect
225. #556	C₂³	semidirect
226. #556	C₂³	semidirect
227. #556	C₂³	semidirect
228. #556	C₂³	semidirect
229. #556	C₂³	semidirect
230. #555	C₂³	semidirect
231. #555	C₂³	semidirect
232. #555	C₂³	semidirect
233. #555	C₂³	semidirect
234. #555	C₂³	semidirect
235. #554	C₂³	semidirect
236. #554	C₂³	semidirect
237. #554	C₂³	semidirect
238. #554	C₂³	semidirect
239. #554	C₂³	semidirect
240. #554	C₂³	semidirect
241. #554	C₂³	semidirect
242. #554	C₂³	semidirect
243. #554	C₂³	semidirect
244. #554	C₂³	semidirect
245. #554	C₂³	semidirect
246. #554	C₂³	semidirect
247. #554	C₂³	semidirect
249. #553	C₂³	semidirect
250. #553	C₂³	semidirect
251. #553	C₂³	semidirect
252. #553	C₂³	semidirect
253. #553	C₂³	semidirect
254. #553	C₂³	semidirect
255. #553	C₂³	semidirect
256. #553	C₂³	semidirect
257. #553	C₂³	semidirect
258. #553	C₂³	semidirect
259. #553	C₂³	semidirect
260. #553	C₂³	semidirect
261. #553	C₂³	semidirect
262. #553	C₂³	semidirect
263. #553	C₂³	semidirect
264. #553	C₂³	semidirect
265. #553	C₂³	semidirect
266. #553	C₂³	semidirect
267. #553	C₂³	semidirect
268. #553	C₂³	semidirect
270. #552	C₂³	semidirect
271. #552	C₂³	semidirect
272. #552	C₂³	semidirect
273. #552	C₂³	semidirect
274. #552	C₂³	semidirect
275. #552	C₂³	semidirect
276. #552	C₂³	semidirect
277. #552	C₂³	semidirect
278. #552	C₂³	semidirect
279. #552	C₂³	semidirect
280. #552	C₂³	semidirect
281. #552	C₂³	semidirect
282. #552	C₂³	semidirect
283. #552	C₂³	semidirect
284. #552	C₂³	semidirect
285. #551	C₂³	semidirect
286. #551	C₂³	semidirect
287. #551	C₂³	semidirect
288. #551	C₂³	semidirect
289. #551	C₂³	semidirect
290. #551	C₂³	semidirect
291. #551	C₂³	semidirect
292. #551	C₂³	semidirect
293. #551	C₂³	semidirect
294. #551	C₂³	semidirect
295. #551	C₂³	semidirect
296. #551	C₂³	semidirect
297. #551	C₂³	semidirect
298. #551	C₂³	semidirect
299. #551	C₂³	semidirect
300. #551	C₂³	semidirect
303. #550	C₂³	semidirect
304. #550	C₂³	semidirect
305. #550	C₂³	semidirect
306. #550	C₂³	semidirect
308. D₄×Q₈	C₂³	semidirect
309. D₄×Q₈	C₂³	semidirect
310. D₄×Q₈	C₂³	semidirect
311. D₄×Q₈	C₂³	semidirect
314. #548	C₂³	semidirect
315. #548	C₂³	semidirect
316. #548	C₂³	semidirect
317. #548	C₂³	semidirect
318. #548	C₂³	semidirect
319. #548	C₂³	semidirect
320. #548	C₂³	semidirect
321. #548	C₂³	semidirect
323. #547	C₂³	semidirect
324. #547	C₂³	semidirect
325. #547	C₂³	semidirect
326. #547	C₂³	semidirect
327. #547	C₂³	semidirect
328. #547	C₂³	semidirect
329. #547	C₂³	semidirect
330. #547	C₂³	semidirect
331. #547	C₂³	semidirect
332. #547	C₂³	semidirect
333. #547	C₂³	semidirect
339. #546	C₂³	semidirect
340. #546	C₂³	semidirect
341. #546	C₂³	semidirect
342. #546	C₂³	semidirect
343. #546	C₂³	semidirect
344. #546	C₂³	semidirect
345. #546	C₂³	semidirect
346. #546	C₂³	semidirect
347. #546	C₂³	semidirect
348. #546	C₂³	semidirect
349. #546	C₂³	semidirect
350. #546	C₂³	semidirect
351. #546	C₂³	semidirect
352. #546	C₂³	semidirect
353. #546	C₂³	semidirect
354. #546	C₂³	semidirect
355. #546	C₂³	semidirect
356. #546	C₂³	semidirect
357. #546	C₂³	semidirect
358. #546	C₂³	semidirect
364. D₄²	C₂³	semidirect
365. D₄²	C₂³	semidirect
366. D₄²	C₂³	semidirect
367. D₄²	C₂³	semidirect
368. #544	C₂³	semidirect
369. #544	C₂³	semidirect
370. #544	C₂³	semidirect
371. #543	C₂³	semidirect
372. #542	C₂³	semidirect
373. #542	C₂³	semidirect
374. #542	C₂³	semidirect
375. #542	C₂³	semidirect
376. #542	C₂³	semidirect
377. #542	C₂³	semidirect
378. #542	C₂³	semidirect
379. #542	C₂³	semidirect
380. #542	C₂³	semidirect
381. #542	C₂³	semidirect
382. #542	C₂³	semidirect
383. #542	C₂³	semidirect
384. #542	C₂³	semidirect
385. #541	C₂³	semidirect
386. #541	C₂³	semidirect
387. #541	C₂³	semidirect
388. #541	C₂³	semidirect
389. #541	C₂³	semidirect
390. #540	C₂³	semidirect
391. #540	C₂³	semidirect
392. #540	C₂³	semidirect
393. #540	C₂³	semidirect
394. #540	C₂³	semidirect
395. #540	C₂³	semidirect
396. #540	C₂³	semidirect
397. #540	C₂³	semidirect
398. #539	C₂³	semidirect
399. #539	C₂³	semidirect
400. #539	C₂³	semidirect
401. #539	C₂³	semidirect
402. #539	C₂³	semidirect
403. #539	C₂³	semidirect
404. #539	C₂³	semidirect
405. #539	C₂³	semidirect
406. #538	C₂³	semidirect
407. #538	C₂³	semidirect
408. #538	C₂³	semidirect
409. #538	C₂³	semidirect
410. #538	C₂³	semidirect
411. #538	C₂³	semidirect
412. #538	C₂³	semidirect
413. #538	C₂³	semidirect
414. #538	C₂³	semidirect
416. #537	C₂³	semidirect
417. #537	C₂³	semidirect
418. #536	C₂³	semidirect
419. #536	C₂³	semidirect
422. #535	C₂³	semidirect
423. #535	C₂³	semidirect
425. #534	C₂³	semidirect
426. #534	C₂³	semidirect
427. #533	C₂³	semidirect
428. #533	C₂³	semidirect
429. #533	C₂³	semidirect
430. #533	C₂³	semidirect
431. #533	C₂³	semidirect
432. #533	C₂³	semidirect
434. #532	C₂³	semidirect
435. #532	C₂³	semidirect
436. #532	C₂³	semidirect
437. #532	C₂³	semidirect
438. #532	C₂³	semidirect
439. #532	C₂³	semidirect
440. #532	C₂³	semidirect
441. C₂×C₄⋊Q₈	C₂³	semidirect
445. #529	C₂³	semidirect
446. #529	C₂³	semidirect
447. #529	C₂³	semidirect
448. #529	C₂³	semidirect
449. #529	C₂³	semidirect
450. #529	C₂³	semidirect
451. #529	C₂³	semidirect
452. #529	C₂³	semidirect
453. #529	C₂³	semidirect
454. #529	C₂³	semidirect
455. #529	C₂³	semidirect
456. #529	C₂³	semidirect
457. #529	C₂³	semidirect
458. #529	C₂³	semidirect
459. #529	C₂³	semidirect
460. #529	C₂³	semidirect
461. #529	C₂³	semidirect
462. #529	C₂³	semidirect
463. #529	C₂³	semidirect
464. #529	C₂³	semidirect
465. #529	C₂³	semidirect
466. #529	C₂³	semidirect
467. #529	C₂³	semidirect
468. #529	C₂³	semidirect
469. #529	C₂³	semidirect
470. #529	C₂³	semidirect
471. #529	C₂³	semidirect
472. C₂×#126	C₂³	semidirect
473. C₂×#126	C₂³	semidirect
474. C₂×#126	C₂³	semidirect
475. C₂×#126	C₂³	semidirect
476. C₂×#126	C₂³	semidirect
477. C₂×#126	C₂³	semidirect
478. C₂×#125	C₂³	semidirect
479. C₂×#125	C₂³	semidirect
480. C₂×#125	C₂³	semidirect
481. C₂×#125	C₂³	semidirect
482. C₂×#124	C₂³	semidirect
483. C₂×#124	C₂³	semidirect
484. C₂×#124	C₂³	semidirect
485. C₂×#124	C₂³	semidirect
486. C₂×#124	C₂³	semidirect
489. #525	C₂³	semidirect
490. #525	C₂³	semidirect
491. #525	C₂³	semidirect
492. #525	C₂³	semidirect
493. #525	C₂³	semidirect
494. #525	C₂³	semidirect
495. #525	C₂³	semidirect
496. #525	C₂³	semidirect
497. #525	C₂³	semidirect
498. #525	C₂³	semidirect
499. #525	C₂³	semidirect
500. #525	C₂³	semidirect
503. C₂×#123	C₂³	semidirect
504. C₂×#123	C₂³	semidirect
505. C₂×#123	C₂³	semidirect
506. C₂×#123	C₂³	semidirect
507. C₂×#123	C₂³	semidirect
508. C₂×#123	C₂³	semidirect
509. C₂×#123	C₂³	semidirect
510. C₂×#123	C₂³	semidirect
511. C₂×#123	C₂³	semidirect
512. C₂×#123	C₂³	semidirect
513. C₂×#123	C₂³	semidirect
514. C₂×#123	C₂³	semidirect
515. C₂×C₂²⋊Q₈	C₂³	semidirect
516. C₂×C₂²⋊Q₈	C₂³	semidirect
517. C₂×C₂²⋊Q₈	C₂³	semidirect
518. C₂×C₂²⋊Q₈	C₂³	semidirect
519. C₂×C₂²⋊Q₈	C₂³	semidirect
520. C₂×C₂²⋊Q₈	C₂³	semidirect
521. C₂×C₂²⋊Q₈	C₂³	semidirect
522. C₂×C₂²⋊Q₈	C₂³	semidirect
527. C₂×#121	C₂³	semidirect
528. C₂×#121	C₂³	semidirect
529. C₂×#121	C₂³	semidirect
530. C₂×#121	C₂³	semidirect
531. C₂×#121	C₂³	semidirect
532. C₂×#121	C₂³	semidirect
533. C₂×#121	C₂³	semidirect
536. C₂×#120	C₂³	semidirect
537. C₂×#120	C₂³	semidirect
542. #520	C₂³	semidirect
543. #520	C₂³	semidirect
544. #520	C₂³	semidirect
545. #520	C₂³	semidirect
546. #520	C₂³	semidirect
547. #520	C₂³	semidirect
548. #520	C₂³	semidirect
549. #520	C₂³	semidirect
550. #520	C₂³	semidirect
551. #520	C₂³	semidirect
552. #520	C₂³	semidirect
553. #520	C₂³	semidirect
554. #520	C₂³	semidirect
555. #520	C₂³	semidirect
556. #520	C₂³	semidirect
557. #520	C₂³	semidirect
558. #520	C₂³	semidirect
559. #520	C₂³	semidirect
560. #520	C₂³	semidirect
561. #519	C₂³	semidirect
562. #519	C₂³	semidirect
563. #519	C₂³	semidirect
564. #519	C₂³	semidirect
565. #519	C₂³	semidirect
570. #518	C₂³	semidirect
571. #518	C₂³	semidirect
572. #518	C₂³	semidirect
573. #518	C₂³	semidirect
574. #518	C₂³	semidirect
575. #518	C₂³	semidirect
576. #518	C₂³	semidirect
577. #518	C₂³	semidirect
578. #518	C₂³	semidirect
579. #518	C₂³	semidirect
580. #518	C₂³	semidirect
581. #518	C₂³	semidirect
582. #518	C₂³	semidirect
583. #518	C₂³	semidirect
588. C₄×#41	C₂³	semidirect
589. C₄×#41	C₂³	semidirect
590. C₄×#41	C₂³	semidirect
591. C₄×#41	C₂³	semidirect
592. C₄×#41	C₂³	semidirect
593. C₄×#41	C₂³	semidirect
594. C₄×#41	C₂³	semidirect
595. C₄×#41	C₂³	semidirect
596. C₄×#41	C₂³	semidirect
597. C₄×#41	C₂³	semidirect
598. C₄×#41	C₂³	semidirect
599. C₄×#41	C₂³	semidirect
600. C₄×#41	C₂³	semidirect
601. C₄×#41	C₂³	semidirect
602. C₄×#41	C₂³	semidirect
603. C₄×#41	C₂³	semidirect
604. C₂×C₄×Q₈	C₂³	semidirect
605. C₂×C₄×Q₈	C₂³	semidirect
606. C₂×C₄×Q₈	C₂³	semidirect
607. C₂×C₄×Q₈	C₂³	semidirect
608. C₂×C₄×Q₈	C₂³	semidirect
609. C₂×C₄×Q₈	C₂³	semidirect
615. C₂×C₄×D₄	C₂³	semidirect
616. C₂×C₄×D₄	C₂³	semidirect
617. C₂×C₄×D₄	C₂³	semidirect
618. C₂×C₄×D₄	C₂³	semidirect
619. C₂×C₄×D₄	C₂³	semidirect
620. C₂×C₄×D₄	C₂³	semidirect
621. C₂×C₄×D₄	C₂³	semidirect
622. C₂×C₄×D₄	C₂³	semidirect
623. C₂×C₄×D₄	C₂³	semidirect
624. C₂×C₄×D₄	C₂³	semidirect
625. C₂×C₄×D₄	C₂³	semidirect
626. C₂×C₄×D₄	C₂³	semidirect
627. C₂×C₄×D₄	C₂³	semidirect
628. C₂×C₄×D₄	C₂³	semidirect
629. C₂×C₄×D₄	C₂³	semidirect
630. C₂×C₄×D₄	C₂³	semidirect
631. C₂×C₄×D₄	C₂³	semidirect
632. C₂×C₄×D₄	C₂³	semidirect
633. C₂×C₄×D₄	C₂³	semidirect
634. C₂×C₄×D₄	C₂³	semidirect
635. C₂×C₄×D₄	C₂³	semidirect
636. C₂×C₄×D₄	C₂³	semidirect
637. C₂×C₄×D₄	C₂³	semidirect
638. C₂×#117	C₂³	semidirect
639. C₂×#117	C₂³	semidirect
640. C₂×#117	C₂³	semidirect
641. C₂×#117	C₂³	semidirect
642. C₂×#117	C₂³	semidirect
643. C₂×#117	C₂³	semidirect
644. C₂×#117	C₂³	semidirect
645. C₂×#117	C₂³	semidirect
646. C₂×#117	C₂³	semidirect
647. C₂²×C₄⋊C₄	C₂³	semidirect
648. C₂²×C₄⋊C₄	C₂³	semidirect
649. C₂²×C₄⋊C₄	C₂³	semidirect
650. C₂²×C₄⋊C₄	C₂³	semidirect
651. C₂²×C₂²⋊C₄	C₂³	semidirect
652. C₂²×C₂²⋊C₄	C₂³	semidirect
653. C₂²×C₂²⋊C₄	C₂³	semidirect
654. C₂²×C₂²⋊C₄	C₂³	semidirect
655. C₂²×C₂²⋊C₄	C₂³	semidirect
656. C₂²×C₄²	C₂³	semidirect
665. H(5,𝔽₂)	#41	semidirect
1163. #41	C₂×#41	semidirect
1196. C₂×D₄	C₂×#41	semidirect

Maximal subgroups

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

subgroup	index
#63010	2
#63008	2
#62993	2
#62992	2
#62990	2
#62989	2
#62987	2
#62985	2
#62983	2
D₄×H(5,𝔽₂)	2
#62858	2
#62857	2
#62847	2
#62846	2
#62816	2
#62810	2
#62773	2
C₂×#3513	2
#62654	2
#62652	2
C₂×C₄×H(5,𝔽₂)	2