Subgroups — C₂×#62878 #10586212

Order 512.

34618 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62878	C₂	1	64	yes	maximal, direct product factor
2	C₂×#3500	C₂	1	2	yes	maximal, complemented
3	C₂×#3489	C₂	1	2	yes	maximal, complemented
4	C₂×#3511	C₂	1	2	yes	maximal, complemented
5	C₂×#3488	C₂	1	2	yes	maximal, complemented
6	C₂×#3497	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#3507	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#3506	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#3496	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#3546	C₂	1	4	yes	maximal, complemented
11	C₂×#3554	C₂	1	4	yes	maximal, complemented
12	C₂×#3560	C₂	1	4	yes	maximal, complemented
13	C₂×#3561	C₂	1	4	yes	maximal, complemented
14	C₂×#3558	C₂	1	4	yes	maximal, complemented
15	C₂×#3558	C₂	1	4	yes	maximal, complemented
16	C₂×#3540	C₂	1	4	yes	maximal, complemented
17	C₂×#3536	C₂	1	4	yes	maximal, complemented
18	C₂×#3536	C₂	1	4	yes	maximal, complemented
19	C₂×#3534	C₂	1	4	yes	maximal, complemented
20	C₂×#3541	C₂	1	4	yes	maximal, complemented
21	C₂×#3542	C₂	1	4	yes	maximal, complemented
22	C₂×#3455	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#3449	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×2₋¹⁺⁴	C₂²	1	2	yes	complemented
26	C₂²×H(5,𝔽₂)	C₂²	1	2	yes	complemented
27	C₂³×#41	C₂²	1	2	yes	complemented
28	#3561	C₂²	1	128	yes	complemented
29	#3560	C₂²	1	128	yes	complemented
30	#3558	C₂²	1	128	yes	complemented
31	#3558	C₂²	1	128	yes	complemented
32	#3554	C₂²	1	128	yes	complemented
33	#3546	C₂²	1	128	yes	complemented
34	#3542	C₂²	1	128	yes	complemented
35	#3541	C₂²	1	128	yes	complemented
36	#3540	C₂²	1	128	yes	complemented
37	#3536	C₂²	1	128	yes	complemented
38	#3536	C₂²	1	128	yes	complemented
39	#3534	C₂²	1	128	yes	complemented
40	C₂×#563	C₂²	1	8	yes	complemented
41	C₂×#562	C₂²	1	8	yes	complemented
42	C₂×#562	C₂²	1	8	yes	complemented
43	C₂×#562	C₂²	1	8	yes	complemented
44	C₂×#562	C₂²	1	8	yes	complemented
45	C₂×H(3,𝔽₄)	C₂²	1	8	yes	complemented
46	C₂×#560	C₂²	1	8	yes	complemented
47	C₂×#560	C₂²	1	8	yes	complemented
48	#3511	C₂²	1	64	yes	complemented
49	#3507	C₂²	1	32	yes	complemented
50	#3506	C₂²	1	32	yes	complemented
51	#3500	C₂²	1	64	yes	complemented
52	#3497	C₂²	1	32	yes	complemented
53	#3496	C₂²	1	32	yes	complemented
54	#3489	C₂²	1	64	yes	complemented
55	#3488	C₂²	1	64	yes	complemented
56	C₂×#559	C₂²	1	8	yes	complemented
57	C₂×#559	C₂²	1	2	yes	complemented
58	C₂×#559	C₂²	1	4	yes	complemented
59	C₂×#557	C₂²	1	2	yes	complemented
60	C₂×#556	C₂²	1	4	yes	complemented
61	C₂×#556	C₂²	1	2	yes	complemented
62	C₂×#556	C₂²	1	2	yes	complemented
63	C₂×#556	C₂²	1	4	yes	complemented
64	C₂×#555	C₂²	1	2	yes	complemented
65	C₂×#555	C₂²	1	4	yes	complemented
66	C₂×#554	C₂²	1	8	yes	complemented
67	C₂×#554	C₂²	1	4	yes	complemented
68	C₂×#554	C₂²	1	2	yes	complemented
69	C₂×#553	C₂²	1	8	yes	complemented
70	C₂×#553	C₂²	1	4	yes	complemented
71	C₂×#553	C₂²	1	8	yes	complemented
72	C₂×#552	C₂²	1	4	yes	complemented
73	C₂×#551	C₂²	1	8	yes	complemented
74	C₂×#551	C₂²	1	8	yes	complemented
75	C₂×#550	C₂²	1	4	yes	complemented
76	C₂×#550	C₂²	1	2	yes	complemented
77	C₂×#550	C₂²	1	2	yes	complemented
78	C₂×#550	C₂²	1	2	yes	complemented
79	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
80	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
81	C₂×D₄×Q₈	C₂²	1	4	yes	complemented
82	C₂×#548	C₂²	1	4	yes	complemented
83	C₂×#548	C₂²	1	4	yes	complemented
84	C₂×#548	C₂²	1	4	yes	complemented
85	C₂×#548	C₂²	1	8	yes	complemented
86	C₂×#548	C₂²	1	4	yes	complemented
87	C₂×#548	C₂²	1	4	yes	complemented
88	C₂×#548	C₂²	1	4	yes	complemented
89	C₂×#547	C₂²	1	2	yes	complemented
90	C₂×#547	C₂²	1	2	yes	complemented
91	C₂×#547	C₂²	1	8	yes	complemented
92	C₂×#547	C₂²	1	4	yes	complemented
93	C₂×#547	C₂²	1	2	yes	complemented
94	C₂×#547	C₂²	1	4	yes	complemented
95	C₂×#546	C₂²	1	8	yes	complemented
96	C₂×#546	C₂²	1	8	yes	complemented
97	C₂×#546	C₂²	1	8	yes	complemented
98	C₂×#546	C₂²	1	4	yes	complemented
99	C₂×#546	C₂²	1	8	yes	complemented
100	C₂×#546	C₂²	1	8	yes	complemented
101	C₂×#546	C₂²	1	8	yes	complemented
102	C₂×#546	C₂²	1	8	yes	complemented
103	C₂×#546	C₂²	1	4	yes	complemented
104	C₂×#546	C₂²	1	4	yes	complemented
105	C₂×#546	C₂²	1	4	yes	complemented
106	C₂×#546	C₂²	1	4	yes	complemented
107	C₂×#546	C₂²	1	4	yes	complemented
108	C₂×D₄²	C₂²	1	8	yes	complemented
109	C₂×D₄²	C₂²	1	2	yes	complemented
110	C₂×D₄²	C₂²	1	4	yes	complemented
111	C₂×D₄²	C₂²	1	2	yes	complemented
112	C₂×#543	C₂²	1	8	yes	complemented
113	#3455	C₂²	1	32	yes	complemented
114	C₂×#542	C₂²	1	8	yes	complemented
115	C₂×#542	C₂²	1	4	yes	complemented
116	C₂×#542	C₂²	1	2	yes	complemented
117	C₂×#542	C₂²	1	8	yes	complemented
118	C₂×#542	C₂²	1	4	yes	complemented
119	C₂×#542	C₂²	1	2	yes	complemented
120	C₂×#542	C₂²	1	8	yes	complemented
121	C₂×#542	C₂²	1	4	yes	complemented
122	C₂×#542	C₂²	1	4	yes	complemented
123	C₂×#542	C₂²	1	4	yes	complemented
124	C₂×#542	C₂²	1	4	yes	complemented
125	C₂×#542	C₂²	1	32	yes	complemented
126	C₂×#541	C₂²	1	2	yes	complemented
127	C₂×#540	C₂²	1	8	yes	complemented
128	C₂×#540	C₂²	1	2	yes	complemented
129	C₂×#539	C₂²	1	8	yes	complemented
130	C₂×#539	C₂²	1	4	yes	complemented
131	C₂×#539	C₂²	1	2	yes	complemented
132	C₂×#539	C₂²	1	8	yes	complemented
133	C₂×#539	C₂²	1	2	yes	complemented
134	C₂×#538	C₂²	1	8	yes	complemented
135	C₂×#538	C₂²	1	8	yes	complemented
136	C₂×#538	C₂²	1	2	yes	complemented
137	C₂×#538	C₂²	1	8	yes	complemented
138	C₂×#538	C₂²	1	8	yes	complemented
139	C₂×#538	C₂²	1	8	yes	complemented
140	C₂×#538	C₂²	1	2	yes	complemented
141	C₂×#538	C₂²	1	8	yes	complemented
142	C₂×#538	C₂²	1	4	yes	complemented
143	#3449	C₂²	1	32	yes	complemented
144	C₂×#537	C₂²	1	4	yes	complemented
145	C₂×#537	C₂²	1	4	yes	complemented
146	C₂×#537	C₂²	1	8	yes	complemented
147	C₂×#537	C₂²	1	2	yes	complemented
148	C₂×#537	C₂²	1	4	yes	complemented
149	C₂×#537	C₂²	1	2	yes	complemented
150	C₂×#537	C₂²	1	2	yes	complemented
151	C₂×#537	C₂²	1	2	yes	complemented
152	C₂×#536	C₂²	1	4	yes	complemented
153	C₂×#536	C₂²	1	2	yes	complemented
154	C₂×#536	C₂²	1	4	yes	complemented
155	C₂×#536	C₂²	1	2	yes	complemented
156	C₂×#536	C₂²	1	2	yes	complemented
157	C₂×#535	C₂²	1	4	yes	complemented
158	C₂×#535	C₂²	1	2	yes	complemented
159	C₂×#535	C₂²	1	4	yes	complemented
160	C₂×#535	C₂²	1	8	yes	complemented
161	C₂×#535	C₂²	1	2	yes	complemented
162	C₂×#535	C₂²	1	2	yes	complemented
163	C₂×#534	C₂²	1	2	yes	complemented
164	C₂×#534	C₂²	1	8	yes	complemented
165	C₂×#534	C₂²	1	2	yes	complemented
166	C₂×#534	C₂²	1	4	yes	complemented
167	C₂×#533	C₂²	1	4	yes	complemented
168	C₂×#533	C₂²	1	1	yes	characteristic, complemented
169	C₂×#532	C₂²	1	1	yes	characteristic
170	C₂×#532	C₂²	1	4	yes	complemented
171	C₂×#532	C₂²	1	4	yes	complemented
172	C₂×#532	C₂²	1	4	yes	complemented
173	C₂×#532	C₂²	1	1	yes	characteristic, complemented
174	C₂×#532	C₂²	1	1	yes	characteristic, complemented
175	C₂×#532	C₂²	1	2	yes	complemented
176	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
177	C₂×#529	C₂²	1	4	yes	complemented
178	C₂×#529	C₂²	1	4	yes	complemented
179	C₂×#529	C₂²	1	4	yes	complemented
180	C₂²×#126	C₂²	1	2	yes	complemented
181	C₂²×#124	C₂²	1	2	yes	complemented
182	C₂²×#124	C₂²	1	4	yes	complemented
183	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
184	C₂×#525	C₂²	1	4	yes	complemented
185	C₂×#525	C₂²	1	4	yes	complemented
186	C₂×#525	C₂²	1	4	yes	complemented
187	C₂×#525	C₂²	1	4	yes	complemented
188	C₂×#525	C₂²	1	4	yes	complemented
189	C₂×#525	C₂²	1	2	yes	complemented
190	C₂²×#123	C₂²	1	2	yes	complemented
191	C₂²×C₂²⋊Q₈	C₂²	1	4	yes	complemented
192	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
193	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
194	C₂²×#121	C₂²	1	1	yes	characteristic
195	C₂²×#121	C₂²	1	4	yes	complemented
196	C₂²×#121	C₂²	1	4	yes	complemented
197	C₂×#520	C₂²	1	2	yes	complemented
198	C₂×#520	C₂²	1	2	yes	complemented
199	C₂×C₄×#41	C₂²	1	2	yes	complemented
200	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
201	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
202	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
203	C₂×2₋¹⁺⁴	—	4	16	no	—
204	C₂×2₋¹⁺⁴	C₂³	1	32	yes	complemented
205	C₂×H(5,𝔽₂)	—	4	16	no	—
206	C₂×H(5,𝔽₂)	C₂³	1	32	yes	complemented
207	C₂²×#41	—	4	16	no	—
208	C₂²×#41	C₂³	1	2	yes	—
209	C₂²×#41	C₂³	1	2	yes	—
210	C₂²×#41	C₂³	1	2	yes	—
211	C₂²×#41	C₂³	1	4	yes	—
212	C₂²×#41	C₂³	1	2	yes	—
213	C₂²×#41	C₂³	1	2	yes	—
214	C₂²×#41	C₂³	1	4	yes	—
215	C₂²×#41	C₂³	1	4	yes	—
216	C₂²×#41	C₂³	1	4	yes	—
217	C₂²×#41	C₂³	1	4	yes	—
218	C₂²×#41	C₂³	1	4	yes	—
219	C₂²×#41	C₂³	1	8	yes	—
220	C₂²×#41	C₂³	1	4	yes	—
221	C₂²×#41	C₂³	1	8	yes	—
222	C₂²×#41	C₂³	1	32	yes	complemented
223	C₂³×Q₈	C₂³	1	1	yes	characteristic
224	C₂³×Q₈	C₂³	1	2	yes	—
225	C₂³×Q₈	C₂³	1	4	yes	—
226	C₂³×Q₈	C₂³	1	4	yes	—
227	C₂³×Q₈	C₂³	1	2	yes	—
228	C₂³×D₄	C₂³	1	1	yes	characteristic
229	C₂³×D₄	C₂³	1	4	yes	—
230	C₂³×D₄	C₂³	1	2	yes	—
231	C₂³×D₄	C₂³	1	8	yes	—
232	C₂³×D₄	C₂³	1	4	yes	—
233	C₂³×D₄	C₂³	1	4	yes	—
234	C₂³×D₄	C₂³	1	2	yes	—
235	C₂³×D₄	C₂³	1	4	yes	—
236	C₂³×D₄	C₂³	1	8	yes	—
237	C₂⁴×C₄	C₂³	1	1	yes	characteristic
238	C₂⁴×C₄	C₂³	1	4	yes	—
239	C₂⁴×C₄	C₂³	1	2	yes	—
240	#563	C₂³	1	128	yes	complemented
241	#562	C₂³	1	128	yes	complemented
242	#562	C₂³	1	128	yes	complemented
243	#562	C₂³	1	128	yes	complemented
244	#562	C₂³	1	128	yes	complemented
245	H(3,𝔽₄)	C₂³	1	128	yes	complemented
246	#560	C₂³	1	128	yes	complemented
247	#560	C₂³	1	128	yes	complemented
248	#559	C₂³	1	64	yes	complemented
249	#559	C₂³	1	32	yes	complemented
250	#559	C₂³	1	128	yes	complemented
251	#557	C₂³	1	32	yes	complemented
252	#556	C₂³	1	32	yes	complemented
253	#556	C₂³	1	32	yes	complemented
254	#556	C₂³	1	64	yes	complemented
255	#556	C₂³	1	64	yes	complemented
256	#555	C₂³	1	32	yes	complemented
257	#555	C₂³	1	64	yes	complemented
258	#554	C₂³	1	32	yes	complemented
259	#554	C₂³	1	64	yes	complemented
260	#554	C₂³	1	128	yes	complemented
261	#553	C₂³	1	64	yes	complemented
262	#553	C₂³	1	128	yes	complemented
263	#553	C₂³	1	128	yes	complemented
264	#552	C₂³	1	64	yes	complemented
265	#551	C₂³	1	128	yes	complemented
266	#551	C₂³	1	128	yes	complemented
267	#550	C₂³	1	64	yes	complemented
268	#550	C₂³	1	32	yes	complemented
269	#550	C₂³	1	32	yes	complemented
270	#550	C₂³	1	32	yes	complemented
271	D₄×Q₈	C₂³	1	64	yes	complemented
272	D₄×Q₈	C₂³	1	32	yes	complemented
273	D₄×Q₈	C₂³	1	32	yes	complemented
274	#548	C₂³	1	64	yes	complemented
275	#548	C₂³	1	64	yes	complemented
276	#548	C₂³	1	64	yes	complemented
277	#548	C₂³	1	64	yes	complemented
278	#548	C₂³	1	64	yes	complemented
279	#548	C₂³	1	64	yes	complemented
280	#548	C₂³	1	128	yes	complemented
281	#547	C₂³	1	128	yes	complemented
282	#547	C₂³	1	64	yes	complemented
283	#547	C₂³	1	32	yes	complemented
284	#547	C₂³	1	32	yes	complemented
285	#547	C₂³	1	32	yes	complemented
286	#547	C₂³	1	64	yes	complemented
287	#546	C₂³	1	128	yes	complemented
288	#546	C₂³	1	64	yes	complemented
289	#546	C₂³	1	128	yes	complemented
290	#546	C₂³	1	64	yes	complemented
291	#546	C₂³	1	64	yes	complemented
292	#546	C₂³	1	64	yes	complemented
293	#546	C₂³	1	128	yes	complemented
294	#546	C₂³	1	64	yes	complemented
295	#546	C₂³	1	128	yes	complemented
296	#546	C₂³	1	64	yes	complemented
297	#546	C₂³	1	128	yes	complemented
298	#546	C₂³	1	128	yes	complemented
299	#546	C₂³	1	128	yes	complemented
300	D₄²	C₂³	1	128	yes	complemented
301	D₄²	C₂³	1	64	yes	complemented
302	D₄²	C₂³	1	32	yes	complemented
303	D₄²	C₂³	1	32	yes	complemented
304	#543	C₂³	1	128	yes	complemented
305	#542	C₂³	1	64	yes	complemented
306	#542	C₂³	1	64	yes	complemented
307	#542	C₂³	1	64	yes	complemented
308	#542	C₂³	1	64	yes	complemented
309	#542	C₂³	1	32	yes	complemented
310	#542	C₂³	1	32	yes	complemented
311	#542	C₂³	1	64	yes	complemented
312	#542	C₂³	1	64	yes	complemented
313	#542	C₂³	1	128	yes	complemented
314	#542	C₂³	1	128	yes	complemented
315	#542	C₂³	1	128	yes	complemented
316	#541	C₂³	1	32	yes	complemented
317	#540	C₂³	1	32	yes	complemented
318	#540	C₂³	1	128	yes	complemented
319	#539	C₂³	1	32	yes	complemented
320	#539	C₂³	1	32	yes	complemented
321	#539	C₂³	1	64	yes	complemented
322	#539	C₂³	1	128	yes	complemented
323	#539	C₂³	1	128	yes	complemented
324	#538	C₂³	1	32	yes	complemented
325	#538	C₂³	1	32	yes	complemented
326	#538	C₂³	1	64	yes	complemented
327	#538	C₂³	1	128	yes	complemented
328	#538	C₂³	1	128	yes	complemented
329	#538	C₂³	1	128	yes	complemented
330	#538	C₂³	1	128	yes	complemented
331	#538	C₂³	1	128	yes	complemented
332	#538	C₂³	1	128	yes	complemented
333	#537	C₂³	1	32	yes	complemented
334	#537	C₂³	1	32	yes	complemented
335	#537	C₂³	1	32	yes	complemented
336	#537	C₂³	1	64	yes	complemented
337	#537	C₂³	1	32	yes	complemented
338	#537	C₂³	1	64	yes	complemented
339	#537	C₂³	1	64	yes	complemented
340	#537	C₂³	1	128	yes	complemented
341	#536	C₂³	1	32	yes	complemented
342	#536	C₂³	1	32	yes	complemented
343	#536	C₂³	1	32	yes	complemented
344	#536	C₂³	1	64	yes	complemented
345	#536	C₂³	1	64	yes	complemented
346	#535	C₂³	1	32	yes	complemented
347	#535	C₂³	1	32	yes	complemented
348	#535	C₂³	1	32	yes	complemented
349	#535	C₂³	1	64	yes	complemented
350	#535	C₂³	1	64	yes	complemented
351	#535	C₂³	1	128	yes	complemented
352	#534	C₂³	1	32	yes	complemented
353	#534	C₂³	1	32	yes	complemented
354	#534	C₂³	1	64	yes	complemented
355	#534	C₂³	1	128	yes	complemented
356	#533	C₂³	1	16	yes	complemented
357	#533	C₂³	1	64	yes	complemented
358	#532	C₂³	1	16	yes	—
359	#532	C₂³	1	16	yes	complemented
360	#532	C₂³	1	32	yes	complemented
361	#532	C₂³	1	16	yes	complemented
362	#532	C₂³	1	64	yes	complemented
363	#532	C₂³	1	64	yes	complemented
364	#532	C₂³	1	64	yes	complemented
365	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
366	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
367	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
368	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
369	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
370	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
371	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
372	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
373	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
374	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
375	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
376	C₂×C₄⋊Q₈	C₂³	1	16	yes	complemented
377	C₂×#127	C₂³	1	1	yes	characteristic
378	C₂×#127	C₂³	1	2	yes	—
379	C₂×#127	C₂³	1	4	yes	—
380	C₂×#127	C₂³	1	1	yes	characteristic
381	C₂×#127	C₂³	1	4	yes	—
382	C₂×#127	C₂³	1	1	yes	characteristic
383	C₂×#127	C₂³	1	8	yes	—
384	#529	C₂³	1	64	yes	complemented
385	#529	C₂³	1	64	yes	complemented
386	#529	C₂³	1	64	yes	complemented
387	C₂×#126	C₂³	1	8	yes	—
388	C₂×#126	C₂³	1	8	yes	—
389	C₂×#126	C₂³	1	4	yes	—
390	C₂×#126	C₂³	1	4	yes	—
391	C₂×#126	C₂³	1	4	yes	—
392	C₂×#126	C₂³	1	4	yes	—
393	C₂×#126	C₂³	1	8	yes	—
394	C₂×#126	C₂³	1	8	yes	—
395	C₂×#126	C₂³	1	8	yes	—
396	C₂×#126	C₂³	1	8	yes	—
397	C₂×#126	C₂³	1	8	yes	—
398	C₂×#126	C₂³	1	32	yes	complemented
399	C₂×#125	C₂³	1	4	yes	—
400	C₂×#125	C₂³	1	4	yes	—
401	C₂×#125	C₂³	1	4	yes	—
402	C₂×#125	C₂³	1	8	yes	—
403	C₂×#125	C₂³	1	2	yes	—
404	C₂×#125	C₂³	1	8	yes	—
405	C₂×#124	C₂³	1	2	yes	—
406	C₂×#124	C₂³	1	4	yes	—
407	C₂×#124	C₂³	1	4	yes	—
408	C₂×#124	C₂³	1	4	yes	—
409	C₂×#124	C₂³	1	8	yes	—
410	C₂×#124	C₂³	1	8	yes	—
411	C₂×#124	C₂³	1	4	yes	—
412	C₂×#124	C₂³	1	8	yes	—
413	C₂×#124	C₂³	1	8	yes	—
414	C₂×#124	C₂³	1	4	yes	—
415	C₂×#124	C₂³	1	4	yes	—
416	C₂×#124	C₂³	1	4	yes	—
417	C₂×#124	C₂³	1	2	yes	—
418	C₂×#124	C₂³	1	2	yes	—
419	C₂×#124	C₂³	1	2	yes	—
420	C₂×#124	C₂³	1	8	yes	—
421	C₂×#124	C₂³	1	8	yes	—
422	C₂×#124	C₂³	1	2	yes	—
423	C₂×#124	C₂³	1	8	yes	—
424	C₂×#124	C₂³	1	8	yes	—
425	C₂×#124	C₂³	1	8	yes	—
426	C₂×#124	C₂³	1	8	yes	—
427	C₂×#124	C₂³	1	8	yes	—
428	C₂×#124	C₂³	1	16	yes	complemented
429	C₂×#124	C₂³	1	32	yes	complemented
430	C₂×#124	C₂³	1	64	yes	complemented
431	#525	C₂³	1	64	yes	complemented
432	#525	C₂³	1	64	yes	complemented
433	#525	C₂³	1	32	yes	complemented
434	#525	C₂³	1	64	yes	complemented
435	#525	C₂³	1	64	yes	complemented
436	#525	C₂³	1	64	yes	complemented
437	C₂×#123	C₂³	1	8	yes	—
438	C₂×#123	C₂³	1	8	yes	—
439	C₂×#123	C₂³	1	4	yes	—
440	C₂×#123	C₂³	1	4	yes	—
441	C₂×#123	C₂³	1	4	yes	—
442	C₂×#123	C₂³	1	4	yes	—
443	C₂×#123	C₂³	1	8	yes	—
444	C₂×#123	C₂³	1	8	yes	—
445	C₂×#123	C₂³	1	8	yes	—
446	C₂×#123	C₂³	1	4	yes	—
447	C₂×#123	C₂³	1	8	yes	—
448	C₂×#123	C₂³	1	4	yes	—
449	C₂×#123	C₂³	1	4	yes	—
450	C₂×#123	C₂³	1	4	yes	—
451	C₂×#123	C₂³	1	4	yes	—
452	C₂×#123	C₂³	1	8	yes	—
453	C₂×#123	C₂³	1	8	yes	—
454	C₂×#123	C₂³	1	8	yes	—
455	C₂×#123	C₂³	1	8	yes	—
456	C₂×#123	C₂³	1	8	yes	—
457	C₂×#123	C₂³	1	8	yes	—
458	C₂×#123	C₂³	1	8	yes	—
459	C₂×#123	C₂³	1	8	yes	—
460	C₂×#123	C₂³	1	8	yes	—
461	C₂×#123	C₂³	1	8	yes	—
462	C₂×#123	C₂³	1	32	yes	complemented
463	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
464	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
465	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
466	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
467	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
468	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
469	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
470	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
471	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
472	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
473	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
474	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
475	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
476	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
477	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
478	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
479	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
480	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
481	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
482	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
483	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
484	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
485	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
486	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
487	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
488	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
489	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
490	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
491	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
492	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
493	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
494	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
495	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
496	C₂×C₂²⋊Q₈	C₂³	1	16	yes	complemented
497	C₂×C₂²⋊Q₈	C₂³	1	32	yes	complemented
498	C₂×C₂²⋊Q₈	C₂³	1	64	yes	complemented
499	C₂×#121	C₂³	1	4	yes	—
500	C₂×#121	C₂³	1	4	yes	—
501	C₂×#121	C₂³	1	16	yes	—
502	C₂×#121	C₂³	1	2	yes	—
503	C₂×#121	C₂³	1	2	yes	—
504	C₂×#121	C₂³	1	2	yes	—
505	C₂×#121	C₂³	1	8	yes	—
506	C₂×#121	C₂³	1	4	yes	—
507	C₂×#121	C₂³	1	4	yes	—
508	C₂×#121	C₂³	1	8	yes	—
509	C₂×#121	C₂³	1	8	yes	—
510	C₂×#121	C₂³	1	4	yes	—
511	C₂×#121	C₂³	1	8	yes	—
512	C₂×#121	C₂³	1	4	yes	—
513	C₂×#121	C₂³	1	2	yes	—
514	C₂×#121	C₂³	1	2	yes	—
515	C₂×#121	C₂³	1	4	yes	—
516	C₂×#121	C₂³	1	4	yes	—
517	C₂×#121	C₂³	1	4	yes	—
518	C₂×#121	C₂³	1	4	yes	—
519	C₂×#121	C₂³	1	4	yes	—
520	C₂×#121	C₂³	1	4	yes	—
521	C₂×#121	C₂³	1	4	yes	—
522	C₂×#121	C₂³	1	2	yes	—
523	C₂×#121	C₂³	1	4	yes	—
524	C₂×#121	C₂³	1	4	yes	—
525	C₂×#121	C₂³	1	2	yes	—
526	C₂×#121	C₂³	1	2	yes	—
527	C₂×#121	C₂³	1	4	yes	—
528	C₂×#121	C₂³	1	4	yes	—
529	C₂×#121	C₂³	1	8	yes	—
530	C₂×#121	C₂³	1	8	yes	—
531	C₂×#121	C₂³	1	8	yes	—
532	C₂×#121	C₂³	1	4	yes	—
533	C₂×#121	C₂³	1	4	yes	—
534	C₂×#121	C₂³	1	8	yes	—
535	C₂×#121	C₂³	1	8	yes	—
536	C₂×#121	C₂³	1	8	yes	—
537	C₂×#121	C₂³	1	8	yes	—
538	C₂×#121	C₂³	1	8	yes	—
539	C₂×#121	C₂³	1	8	yes	—
540	C₂×#121	C₂³	1	8	yes	—
541	C₂×#121	C₂³	1	8	yes	—
542	C₂×#121	C₂³	1	8	yes	—
543	C₂×#121	C₂³	1	8	yes	—
544	C₂×#121	C₂³	1	8	yes	—
545	C₂×#121	C₂³	1	8	yes	—
546	C₂×#121	C₂³	1	64	yes	complemented
547	C₂×#121	C₂³	1	64	yes	complemented
548	C₂×#120	C₂³	1	4	yes	—
549	C₂×#120	C₂³	1	4	yes	—
550	C₂×#120	C₂³	1	4	yes	—
551	C₂×#120	C₂³	1	8	yes	—
552	C₂×#120	C₂³	1	4	yes	—
553	C₂×#120	C₂³	1	8	yes	—
554	C₂×#120	C₂³	1	4	yes	—
555	C₂×#120	C₂³	1	8	yes	—
556	C₂×#120	C₂³	1	8	yes	—
557	C₂×#120	C₂³	1	8	yes	—
558	C₂×#120	C₂³	1	8	yes	—
559	C₂×#120	C₂³	1	8	yes	—
560	C₂×#120	C₂³	1	8	yes	—
561	C₂×#120	C₂³	1	8	yes	—
562	#520	C₂³	1	32	yes	complemented
563	#520	C₂³	1	32	yes	complemented
564	C₄×#41	C₂³	1	32	yes	complemented
565	C₂×C₄×Q₈	C₂³	1	2	yes	—
566	C₂×C₄×Q₈	C₂³	1	2	yes	—
567	C₂×C₄×Q₈	C₂³	1	2	yes	—
568	C₂×C₄×Q₈	C₂³	1	2	yes	—
569	C₂×C₄×Q₈	C₂³	1	2	yes	—
570	C₂×C₄×Q₈	C₂³	1	2	yes	—
571	C₂×C₄×Q₈	C₂³	1	4	yes	—
572	C₂×C₄×Q₈	C₂³	1	4	yes	—
573	C₂×C₄×Q₈	C₂³	1	2	yes	—
574	C₂×C₄×Q₈	C₂³	1	2	yes	—
575	C₂×C₄×Q₈	C₂³	1	4	yes	—
576	C₂×C₄×Q₈	C₂³	1	8	yes	—
577	C₂×C₄×Q₈	C₂³	1	16	yes	complemented
578	C₂×C₄×D₄	C₂³	1	2	yes	—
579	C₂×C₄×D₄	C₂³	1	2	yes	—
580	C₂×C₄×D₄	C₂³	1	2	yes	—
581	C₂×C₄×D₄	C₂³	1	2	yes	—
582	C₂×C₄×D₄	C₂³	1	4	yes	—
583	C₂×C₄×D₄	C₂³	1	4	yes	—
584	C₂×C₄×D₄	C₂³	1	2	yes	—
585	C₂×C₄×D₄	C₂³	1	2	yes	—
586	C₂×C₄×D₄	C₂³	1	8	yes	—
587	C₂×C₄×D₄	C₂³	1	8	yes	—
588	C₂×C₄×D₄	C₂³	1	4	yes	—
589	C₂×C₄×D₄	C₂³	1	4	yes	—
590	C₂×C₄×D₄	C₂³	1	2	yes	—
591	C₂×C₄×D₄	C₂³	1	2	yes	—
592	C₂×C₄×D₄	C₂³	1	4	yes	—
593	C₂×C₄×D₄	C₂³	1	4	yes	—
594	C₂×C₄×D₄	C₂³	1	2	yes	—
595	C₂×C₄×D₄	C₂³	1	2	yes	—
596	C₂×C₄×D₄	C₂³	1	4	yes	—
597	C₂×C₄×D₄	C₂³	1	4	yes	—
598	C₂×C₄×D₄	C₂³	1	8	yes	—
599	C₂×C₄×D₄	C₂³	1	8	yes	—
600	C₂×C₄×D₄	C₂³	1	8	yes	—
601	C₂×C₄×D₄	C₂³	1	8	yes	—
602	C₂×C₄×D₄	C₂³	1	8	yes	—
603	C₂×C₄×D₄	C₂³	1	2	yes	—
604	C₂×C₄×D₄	C₂³	1	2	yes	—
605	C₂×C₄×D₄	C₂³	1	4	yes	—
606	C₂×C₄×D₄	C₂³	1	8	yes	—
607	C₂×C₄×D₄	C₂³	1	8	yes	—
608	C₂×C₄×D₄	C₂³	1	4	yes	—
609	C₂×C₄×D₄	C₂³	1	4	yes	—
610	C₂×C₄×D₄	C₂³	1	8	yes	—
611	C₂×C₄×D₄	C₂³	1	8	yes	—
612	C₂×C₄×D₄	C₂³	1	16	yes	complemented
613	C₂×#117	C₂³	1	2	yes	—
614	C₂×#117	C₂³	1	2	yes	—
615	C₂×#117	C₂³	1	2	yes	—
616	C₂×#117	C₂³	1	2	yes	—
617	C₂×#117	C₂³	1	2	yes	—
618	C₂×#117	C₂³	1	4	yes	—
619	C₂×#117	C₂³	1	4	yes	—
620	C₂×#117	C₂³	1	4	yes	—
621	C₂×#117	C₂³	1	4	yes	—
622	C₂×#117	C₂³	1	8	yes	—
623	C₂×#117	C₂³	1	8	yes	—
624	C₂×#117	C₂³	1	16	yes	complemented
625	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
626	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
627	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
628	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
629	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
630	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
631	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
632	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
633	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
634	C₂²×C₄⋊C₄	C₂³	1	8	yes	—
635	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
636	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
637	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
638	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
639	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
640	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
641	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
642	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
643	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
644	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
645	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
646	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
647	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
648	C₂²×C₄²	C₂³	1	1	yes	characteristic
649	C₂²×C₄²	C₂³	1	1	yes	characteristic
650	C₂²×C₄²	C₂³	1	2	yes	—
651	C₂²×C₄²	C₂³	1	4	yes	—
652	C₂⁵	C₂⁴	1	1	yes	characteristic
653	C₂⁵	C₂⁴	1	2	yes	—
654	C₂⁵	C₂⁴	1	8	yes	—
655	C₂⁵	C₂⁴	1	4	yes	—
656	2₋¹⁺⁴	—	4	128	no	—
657	H(5,𝔽₂)	—	4	128	no	—
658	C₂×#41	—	2	16	no	—
659	C₂×#41	—	2	16	no	—
660	C₂×#41	—	2	16	no	—
661	C₂×#41	—	4	16	no	—
662	C₂×#41	—	4	16	no	—
663	C₂×#41	—	4	32	no	—
664	C₂×#41	—	4	8	no	—
665	C₂×#41	—	4	8	no	—
666	C₂×#41	—	4	16	no	—
667	C₂×#41	—	4	16	no	—
668	C₂×#41	—	4	16	no	—
669	C₂×#41	—	4	16	no	—
670	C₂×#41	—	4	128	no	—
671	C₂×#41	—	8	8	no	—
672	C₂×#41	—	8	16	no	—
673	C₂×#41	C₂⁴	1	16	yes	—
674	C₂×#41	C₂⁴	1	16	yes	—
675	C₂×#41	C₂⁴	1	16	yes	—
676	C₂×#41	C₂⁴	1	32	yes	—
677	C₂×#41	C₂⁴	1	32	yes	—
678	C₂×#41	C₂⁴	1	32	yes	—
679	C₂×#41	C₂⁴	1	32	yes	—
680	C₂×#41	C₂⁴	1	32	yes	—
681	C₂×#41	C₂⁴	1	64	yes	—
682	C₂×#41	C₂⁴	1	16	yes	—
683	C₂×#41	C₂⁴	1	16	yes	—
684	C₂×#41	C₂⁴	1	32	yes	—
685	C₂×#41	C₂⁴	1	32	yes	—
686	C₂×#41	C₂⁴	1	64	yes	—
687	C₂²×Q₈	—	2	8	no	—
688	C₂²×Q₈	—	4	8	no	—
689	C₂²×Q₈	—	4	16	no	—
690	C₂²×Q₈	—	4	16	no	—
691	C₂²×Q₈	—	8	4	no	—
692	C₂²×Q₈	C₂⁴	1	2	yes	—
693	C₂²×Q₈	C₂⁴	1	2	yes	—
694	C₂²×Q₈	C₂⁴	1	2	yes	—
695	C₂²×Q₈	C₂⁴	1	2	yes	—
696	C₂²×Q₈	C₂⁴	1	2	yes	—
697	C₂²×Q₈	C₂⁴	1	8	yes	—
698	C₂²×Q₈	C₂⁴	1	2	yes	—
699	C₂²×Q₈	C₂⁴	1	2	yes	—
700	C₂²×Q₈	C₂⁴	1	8	yes	—
701	C₂²×Q₈	C₂⁴	1	4	yes	—
702	C₂²×Q₈	C₂⁴	1	8	yes	—
703	C₂²×Q₈	C₂⁴	1	32	yes	—
704	C₂²×Q₈	C₂⁴	1	32	yes	—
705	C₂²×Q₈	C₂⁴	1	16	yes	—
706	C₂²×Q₈	C₂⁴	1	16	yes	—
707	C₂²×D₄	—	2	8	no	—
708	C₂²×D₄	—	4	8	no	—
709	C₂²×D₄	—	4	16	no	—
710	C₂²×D₄	—	4	16	no	—
711	C₂²×D₄	—	4	16	no	—
712	C₂²×D₄	—	4	32	no	—
713	C₂²×D₄	—	8	8	no	—
714	C₂²×D₄	—	8	4	no	—
715	C₂²×D₄	—	8	16	no	—
716	C₂²×D₄	C₂⁴	1	4	yes	—
717	C₂²×D₄	C₂⁴	1	4	yes	—
718	C₂²×D₄	C₂⁴	1	4	yes	—
719	C₂²×D₄	C₂⁴	1	2	yes	—
720	C₂²×D₄	C₂⁴	1	2	yes	—
721	C₂²×D₄	C₂⁴	1	2	yes	—
722	C₂²×D₄	C₂⁴	1	2	yes	—
723	C₂²×D₄	C₂⁴	1	2	yes	—
724	C₂²×D₄	C₂⁴	1	8	yes	—
725	C₂²×D₄	C₂⁴	1	2	yes	—
726	C₂²×D₄	C₂⁴	1	4	yes	—
727	C₂²×D₄	C₂⁴	1	4	yes	—
728	C₂²×D₄	C₂⁴	1	8	yes	—
729	C₂²×D₄	C₂⁴	1	2	yes	—
730	C₂²×D₄	C₂⁴	1	2	yes	—
731	C₂²×D₄	C₂⁴	1	4	yes	—
732	C₂²×D₄	C₂⁴	1	8	yes	—
733	C₂²×D₄	C₂⁴	1	2	yes	—
734	C₂²×D₄	C₂⁴	1	8	yes	—
735	C₂²×D₄	C₂⁴	1	2	yes	—
736	C₂²×D₄	C₂⁴	1	8	yes	—
737	C₂²×D₄	C₂⁴	1	4	yes	—
738	C₂²×D₄	C₂⁴	1	8	yes	—
739	C₂²×D₄	C₂⁴	1	2	yes	—
740	C₂²×D₄	C₂⁴	1	4	yes	—
741	C₂²×D₄	C₂⁴	1	8	yes	—
742	C₂²×D₄	C₂⁴	1	4	yes	—
743	C₂²×D₄	C₂⁴	1	8	yes	—
744	C₂²×D₄	C₂⁴	1	4	yes	—
745	C₂²×D₄	C₂⁴	1	8	yes	—
746	C₂²×D₄	C₂⁴	1	64	yes	—
747	C₂²×D₄	C₂⁴	1	32	yes	—
748	C₂²×D₄	C₂⁴	1	32	yes	—
749	C₂²×D₄	C₂⁴	1	32	yes	—
750	C₂²×D₄	C₂⁴	1	16	yes	—
751	C₂²×D₄	C₂⁴	1	16	yes	—
752	C₂²×D₄	C₂⁴	1	32	yes	—
753	C₂²×D₄	C₂⁴	1	64	yes	—
754	C₂³×C₄	—	2	8	no	—
755	C₂³×C₄	—	4	16	no	—
756	C₂³×C₄	—	8	4	no	—
757	C₂³×C₄	C₂⁴	1	2	yes	—
758	C₂³×C₄	C₂⁴	1	1	yes	characteristic
759	C₂³×C₄	C₂⁴	1	4	yes	—
760	C₂³×C₄	C₂⁴	1	4	yes	—
761	C₂³×C₄	C₂⁴	1	2	yes	—
762	C₂³×C₄	C₂⁴	1	2	yes	—
763	C₂³×C₄	C₂⁴	1	4	yes	—
764	C₂³×C₄	C₂⁴	1	8	yes	—
765	C₂³×C₄	C₂⁴	1	1	yes	characteristic
766	C₂³×C₄	C₂⁴	1	1	yes	characteristic
767	C₂³×C₄	C₂⁴	1	1	yes	characteristic
768	C₂³×C₄	C₂⁴	1	2	yes	—
769	C₂³×C₄	C₂⁴	1	4	yes	—
770	C₂³×C₄	C₂⁴	1	4	yes	—
771	C₂³×C₄	C₂⁴	1	8	yes	—
772	C₂³×C₄	C₂⁴	1	4	yes	—
773	C₂³×C₄	C₂⁴	1	4	yes	—
774	C₂³×C₄	C₂⁴	1	2	yes	—
775	C₂³×C₄	C₂⁴	1	1	yes	characteristic
776	C₂³×C₄	C₂⁴	1	8	yes	—
777	C₂³×C₄	C₂⁴	1	8	yes	—
778	C₂³×C₄	C₂⁴	1	8	yes	—
779	C₂³×C₄	C₂⁴	1	8	yes	—
780	C₂³×C₄	C₂⁴	1	4	yes	—
781	C₂³×C₄	C₂⁴	1	4	yes	—
782	C₂³×C₄	C₂⁴	1	4	yes	—
783	C₂³×C₄	C₂⁴	1	32	yes	—
784	C₂³×C₄	C₂⁴	1	16	yes	—
785	C₂³×C₄	C₂⁴	1	1	yes	characteristic
786	C₄⋊Q₈	C₂⁴	1	32	yes	—
787	C₄⋊Q₈	C₂⁴	1	32	yes	—
788	C₄⋊Q₈	C₂⁴	1	8	yes	—
789	C₄⋊Q₈	C₂⁴	1	16	yes	—
790	C₄⋊Q₈	C₂⁴	1	32	yes	—
791	C₄⋊Q₈	C₂⁴	1	8	yes	—
792	C₄⋊Q₈	C₂⁴	1	8	yes	—
793	C₄⋊Q₈	C₂⁴	1	32	yes	—
794	C₄⋊Q₈	C₂⁴	1	8	yes	—
795	C₄⋊Q₈	C₂⁴	1	8	yes	—
796	C₄⋊Q₈	C₂⁴	1	64	yes	—
797	#127	C₂⁴	1	8	yes	—
798	#127	C₂⁴	1	16	yes	—
799	#127	C₂⁴	1	32	yes	—
800	#127	C₂⁴	1	8	yes	—
801	#127	C₂⁴	1	32	yes	—
802	#127	C₂⁴	1	8	yes	—
803	#127	C₂⁴	1	64	yes	—
804	#126	C₂⁴	1	64	yes	—
805	#126	C₂⁴	1	64	yes	—
806	#126	C₂⁴	1	32	yes	—
807	#126	C₂⁴	1	32	yes	—
808	#126	C₂⁴	1	32	yes	—
809	#126	C₂⁴	1	32	yes	—
810	#126	C₂⁴	1	64	yes	—
811	#126	C₂⁴	1	64	yes	—
812	#126	C₂⁴	1	64	yes	—
813	#126	C₂⁴	1	64	yes	—
814	#126	C₂⁴	1	64	yes	—
815	#125	C₂⁴	1	32	yes	—
816	#125	C₂⁴	1	32	yes	—
817	#125	C₂⁴	1	32	yes	—
818	#125	C₂⁴	1	64	yes	—
819	#125	C₂⁴	1	16	yes	—
820	#125	C₂⁴	1	64	yes	—
821	#124	C₂⁴	1	32	yes	—
822	#124	C₂⁴	1	16	yes	—
823	#124	C₂⁴	1	32	yes	—
824	#124	C₂⁴	1	32	yes	—
825	#124	C₂⁴	1	64	yes	—
826	#124	C₂⁴	1	64	yes	—
827	#124	C₂⁴	1	32	yes	—
828	#124	C₂⁴	1	64	yes	—
829	#124	C₂⁴	1	64	yes	—
830	#124	C₂⁴	1	32	yes	—
831	#124	C₂⁴	1	32	yes	—
832	#124	C₂⁴	1	32	yes	—
833	#124	C₂⁴	1	16	yes	—
834	#124	C₂⁴	1	16	yes	—
835	#124	C₂⁴	1	16	yes	—
836	#124	C₂⁴	1	64	yes	—
837	#124	C₂⁴	1	64	yes	—
838	#124	C₂⁴	1	16	yes	—
839	#124	C₂⁴	1	64	yes	—
840	#124	C₂⁴	1	64	yes	—
841	#124	C₂⁴	1	64	yes	—
842	#124	C₂⁴	1	64	yes	—
843	#124	C₂⁴	1	64	yes	—
844	#123	C₂⁴	1	64	yes	—
845	#123	C₂⁴	1	64	yes	—
846	#123	C₂⁴	1	32	yes	—
847	#123	C₂⁴	1	32	yes	—
848	#123	C₂⁴	1	32	yes	—
849	#123	C₂⁴	1	32	yes	—
850	#123	C₂⁴	1	64	yes	—
851	#123	C₂⁴	1	64	yes	—
852	#123	C₂⁴	1	64	yes	—
853	#123	C₂⁴	1	32	yes	—
854	#123	C₂⁴	1	64	yes	—
855	#123	C₂⁴	1	32	yes	—
856	#123	C₂⁴	1	32	yes	—
857	#123	C₂⁴	1	32	yes	—
858	#123	C₂⁴	1	32	yes	—
859	#123	C₂⁴	1	64	yes	—
860	#123	C₂⁴	1	64	yes	—
861	#123	C₂⁴	1	64	yes	—
862	#123	C₂⁴	1	64	yes	—
863	#123	C₂⁴	1	64	yes	—
864	#123	C₂⁴	1	64	yes	—
865	#123	C₂⁴	1	64	yes	—
866	#123	C₂⁴	1	64	yes	—
867	#123	C₂⁴	1	64	yes	—
868	#123	C₂⁴	1	64	yes	—
869	C₂²⋊Q₈	C₂⁴	1	32	yes	—
870	C₂²⋊Q₈	C₂⁴	1	16	yes	—
871	C₂²⋊Q₈	C₂⁴	1	32	yes	—
872	C₂²⋊Q₈	C₂⁴	1	32	yes	—
873	C₂²⋊Q₈	C₂⁴	1	64	yes	—
874	C₂²⋊Q₈	C₂⁴	1	64	yes	—
875	C₂²⋊Q₈	C₂⁴	1	64	yes	—
876	C₂²⋊Q₈	C₂⁴	1	32	yes	—
877	C₂²⋊Q₈	C₂⁴	1	64	yes	—
878	C₂²⋊Q₈	C₂⁴	1	16	yes	—
879	C₂²⋊Q₈	C₂⁴	1	16	yes	—
880	C₂²⋊Q₈	C₂⁴	1	32	yes	—
881	C₂²⋊Q₈	C₂⁴	1	32	yes	—
882	C₂²⋊Q₈	C₂⁴	1	32	yes	—
883	C₂²⋊Q₈	C₂⁴	1	32	yes	—
884	C₂²⋊Q₈	C₂⁴	1	32	yes	—
885	C₂²⋊Q₈	C₂⁴	1	32	yes	—
886	C₂²⋊Q₈	C₂⁴	1	32	yes	—
887	C₂²⋊Q₈	C₂⁴	1	16	yes	—
888	C₂²⋊Q₈	C₂⁴	1	32	yes	—
889	C₂²⋊Q₈	C₂⁴	1	32	yes	—
890	C₂²⋊Q₈	C₂⁴	1	32	yes	—
891	C₂²⋊Q₈	C₂⁴	1	32	yes	—
892	C₂²⋊Q₈	C₂⁴	1	64	yes	—
893	C₂²⋊Q₈	C₂⁴	1	64	yes	—
894	C₂²⋊Q₈	C₂⁴	1	64	yes	—
895	C₂²⋊Q₈	C₂⁴	1	64	yes	—
896	C₂²⋊Q₈	C₂⁴	1	64	yes	—
897	C₂²⋊Q₈	C₂⁴	1	64	yes	—
898	C₂²⋊Q₈	C₂⁴	1	64	yes	—
899	C₂²⋊Q₈	C₂⁴	1	64	yes	—
900	C₂²⋊Q₈	C₂⁴	1	64	yes	—
901	C₂²⋊Q₈	C₂⁴	1	64	yes	—
902	#121	C₂⁴	1	32	yes	—
903	#121	C₂⁴	1	32	yes	—
904	#121	C₂⁴	1	16	yes	—
905	#121	C₂⁴	1	16	yes	—
906	#121	C₂⁴	1	16	yes	—
907	#121	C₂⁴	1	64	yes	—
908	#121	C₂⁴	1	32	yes	—
909	#121	C₂⁴	1	32	yes	—
910	#121	C₂⁴	1	64	yes	—
911	#121	C₂⁴	1	64	yes	—
912	#121	C₂⁴	1	32	yes	—
913	#121	C₂⁴	1	64	yes	—
914	#121	C₂⁴	1	32	yes	—
915	#121	C₂⁴	1	16	yes	—
916	#121	C₂⁴	1	16	yes	—
917	#121	C₂⁴	1	32	yes	—
918	#121	C₂⁴	1	32	yes	—
919	#121	C₂⁴	1	32	yes	—
920	#121	C₂⁴	1	32	yes	—
921	#121	C₂⁴	1	32	yes	—
922	#121	C₂⁴	1	32	yes	—
923	#121	C₂⁴	1	32	yes	—
924	#121	C₂⁴	1	16	yes	—
925	#121	C₂⁴	1	32	yes	—
926	#121	C₂⁴	1	32	yes	—
927	#121	C₂⁴	1	16	yes	—
928	#121	C₂⁴	1	16	yes	—
929	#121	C₂⁴	1	32	yes	—
930	#121	C₂⁴	1	32	yes	—
931	#121	C₂⁴	1	64	yes	—
932	#121	C₂⁴	1	64	yes	—
933	#121	C₂⁴	1	64	yes	—
934	#121	C₂⁴	1	32	yes	—
935	#121	C₂⁴	1	32	yes	—
936	#121	C₂⁴	1	64	yes	—
937	#121	C₂⁴	1	64	yes	—
938	#121	C₂⁴	1	64	yes	—
939	#121	C₂⁴	1	64	yes	—
940	#121	C₂⁴	1	64	yes	—
941	#121	C₂⁴	1	64	yes	—
942	#121	C₂⁴	1	64	yes	—
943	#121	C₂⁴	1	64	yes	—
944	#121	C₂⁴	1	64	yes	—
945	#121	C₂⁴	1	64	yes	—
946	#121	C₂⁴	1	64	yes	—
947	#121	C₂⁴	1	64	yes	—
948	#120	C₂⁴	1	32	yes	—
949	#120	C₂⁴	1	32	yes	—
950	#120	C₂⁴	1	32	yes	—
951	#120	C₂⁴	1	64	yes	—
952	#120	C₂⁴	1	32	yes	—
953	#120	C₂⁴	1	64	yes	—
954	#120	C₂⁴	1	32	yes	—
955	#120	C₂⁴	1	64	yes	—
956	#120	C₂⁴	1	64	yes	—
957	#120	C₂⁴	1	64	yes	—
958	#120	C₂⁴	1	64	yes	—
959	#120	C₂⁴	1	64	yes	—
960	#120	C₂⁴	1	64	yes	—
961	#120	C₂⁴	1	64	yes	—
962	C₄×Q₈	C₂⁴	1	16	yes	—
963	C₄×Q₈	C₂⁴	1	16	yes	—
964	C₄×Q₈	C₂⁴	1	16	yes	—
965	C₄×Q₈	C₂⁴	1	16	yes	—
966	C₄×Q₈	C₂⁴	1	16	yes	—
967	C₄×Q₈	C₂⁴	1	16	yes	—
968	C₄×Q₈	C₂⁴	1	32	yes	—
969	C₄×Q₈	C₂⁴	1	32	yes	—
970	C₄×Q₈	C₂⁴	1	16	yes	—
971	C₄×Q₈	C₂⁴	1	16	yes	—
972	C₄×Q₈	C₂⁴	1	32	yes	—
973	C₄×Q₈	C₂⁴	1	64	yes	—
974	C₄×D₄	C₂⁴	1	16	yes	—
975	C₄×D₄	C₂⁴	1	16	yes	—
976	C₄×D₄	C₂⁴	1	16	yes	—
977	C₄×D₄	C₂⁴	1	16	yes	—
978	C₄×D₄	C₂⁴	1	32	yes	—
979	C₄×D₄	C₂⁴	1	32	yes	—
980	C₄×D₄	C₂⁴	1	16	yes	—
981	C₄×D₄	C₂⁴	1	16	yes	—
982	C₄×D₄	C₂⁴	1	64	yes	—
983	C₄×D₄	C₂⁴	1	64	yes	—
984	C₄×D₄	C₂⁴	1	32	yes	—
985	C₄×D₄	C₂⁴	1	32	yes	—
986	C₄×D₄	C₂⁴	1	16	yes	—
987	C₄×D₄	C₂⁴	1	16	yes	—
988	C₄×D₄	C₂⁴	1	32	yes	—
989	C₄×D₄	C₂⁴	1	32	yes	—
990	C₄×D₄	C₂⁴	1	16	yes	—
991	C₄×D₄	C₂⁴	1	16	yes	—
992	C₄×D₄	C₂⁴	1	32	yes	—
993	C₄×D₄	C₂⁴	1	32	yes	—
994	C₄×D₄	C₂⁴	1	64	yes	—
995	C₄×D₄	C₂⁴	1	64	yes	—
996	C₄×D₄	C₂⁴	1	64	yes	—
997	C₄×D₄	C₂⁴	1	64	yes	—
998	C₄×D₄	C₂⁴	1	64	yes	—
999	C₄×D₄	C₂⁴	1	16	yes	—
1000	C₄×D₄	C₂⁴	1	16	yes	—
1001	C₄×D₄	C₂⁴	1	32	yes	—
1002	C₄×D₄	C₂⁴	1	64	yes	—
1003	C₄×D₄	C₂⁴	1	64	yes	—
1004	C₄×D₄	C₂⁴	1	32	yes	—
1005	C₄×D₄	C₂⁴	1	32	yes	—
1006	C₄×D₄	C₂⁴	1	64	yes	—
1007	C₄×D₄	C₂⁴	1	64	yes	—
1008	#117	C₂⁴	1	16	yes	—
1009	#117	C₂⁴	1	16	yes	—
1010	#117	C₂⁴	1	16	yes	—
1011	#117	C₂⁴	1	16	yes	—
1012	#117	C₂⁴	1	16	yes	—
1013	#117	C₂⁴	1	32	yes	—
1014	#117	C₂⁴	1	32	yes	—
1015	#117	C₂⁴	1	32	yes	—
1016	#117	C₂⁴	1	32	yes	—
1017	#117	C₂⁴	1	64	yes	—
1018	#117	C₂⁴	1	64	yes	—
1019	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1020	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1021	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1022	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1023	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1024	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1025	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1026	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1027	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1028	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1029	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1030	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1031	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1032	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1033	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1034	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1035	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1036	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1037	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1038	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1039	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1040	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1041	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1043	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1044	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1045	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1046	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1047	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1048	C₂×C₄⋊C₄	C₂⁴	1	64	yes	—
1049	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1050	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1051	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1052	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1053	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1054	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1055	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1056	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1057	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1058	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1059	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1060	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1061	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1062	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1063	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1064	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1065	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1066	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1067	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1068	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1069	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1070	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1071	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1072	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1073	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1074	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1075	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1076	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1077	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1078	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1079	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1080	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1081	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1082	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1083	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1084	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1085	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1086	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1087	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1088	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1089	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1090	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1091	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1092	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1093	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1094	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1095	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1096	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1097	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1098	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1099	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1100	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1101	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1102	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1103	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1104	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1105	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1106	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1107	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1108	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1109	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1110	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1111	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1112	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1113	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1114	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1115	C₂×C₄²	C₂⁴	1	2	yes	—
1116	C₂×C₄²	C₂⁴	1	8	yes	—
1117	C₂×C₄²	C₂⁴	1	8	yes	—
1118	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1119	C₂×C₄²	C₂⁴	1	2	yes	—
1120	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1121	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1122	C₂×C₄²	C₂⁴	1	4	yes	—
1123	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1124	C₂×C₄²	C₂⁴	1	4	yes	—
1125	C₂×C₄²	C₂⁴	1	8	yes	—
1126	C₂×C₄²	C₂⁴	1	8	yes	—
1127	C₂×C₄²	C₂⁴	1	4	yes	—
1128	C₂×C₄²	C₂⁴	1	4	yes	—
1129	C₂×C₄²	C₂⁴	1	4	yes	—
1130	C₂×C₄²	C₂⁴	1	16	yes	—
1131	C₂×C₄²	C₂⁴	1	32	yes	—
1132	C₂⁴	—	2	4	no	—
1133	C₂⁴	—	2	8	no	—
1134	C₂⁴	—	4	8	no	—
1135	C₂⁴	—	4	4	no	—
1136	C₂⁴	—	4	2	no	—
1137	C₂⁴	—	4	8	no	—
1138	C₂⁴	—	4	2	no	—
1139	C₂⁴	—	4	4	no	—
1140	C₂⁴	—	4	8	no	—
1141	C₂⁴	—	4	16	no	—
1142	C₂⁴	—	4	16	no	—
1143	C₂⁴	—	4	16	no	—
1144	C₂⁴	C₂⁵	1	2	yes	—
1145	C₂⁴	C₂⁵	1	4	yes	—
1146	C₂⁴	C₂⁵	1	4	yes	—
1147	C₂⁴	C₂⁵	1	4	yes	—
1148	C₂⁴	C₂⁵	1	4	yes	—
1149	C₂⁴	C₂⁵	1	1	yes	characteristic
1150	C₂⁴	C₂⁵	1	4	yes	—
1151	C₂⁴	C₂⁵	1	8	yes	—
1152	C₂⁴	C₂⁵	1	32	yes	—
1153	C₂⁴	C₂⁵	1	16	yes	—
1154	#41	—	2	64	no	—
1155	#41	—	2	64	no	—
1156	#41	—	2	64	no	—
1157	#41	—	4	64	no	—
1158	#41	—	4	64	no	—
1159	#41	—	4	128	no	—
1160	#41	—	4	32	no	—
1161	#41	—	4	32	no	—
1162	#41	—	4	64	no	—
1163	#41	—	4	64	no	—
1164	#41	—	4	64	no	—
1165	#41	—	4	64	no	—
1166	#41	—	8	32	no	—
1167	#41	—	8	64	no	—
1168	C₂×Q₈	—	2	8	no	—
1169	C₂×Q₈	—	2	8	no	—
1170	C₂×Q₈	—	2	32	no	—
1171	C₂×Q₈	—	2	8	no	—
1172	C₂×Q₈	—	2	8	no	—
1173	C₂×Q₈	—	2	8	no	—
1174	C₂×Q₈	—	4	16	no	—
1175	C₂×Q₈	—	4	8	no	—
1176	C₂×Q₈	—	4	16	no	—
1177	C₂×Q₈	—	4	4	no	—
1178	C₂×Q₈	—	4	4	no	—
1179	C₂×Q₈	—	4	32	no	—
1180	C₂×Q₈	—	4	64	no	—
1181	C₂×Q₈	—	4	64	no	—
1182	C₂×Q₈	—	8	16	no	—
1183	C₂×Q₈	C₂⁵	1	8	yes	—
1184	C₂×Q₈	C₂⁵	1	8	yes	—
1185	C₂×Q₈	C₂⁵	1	8	yes	—
1186	C₂×Q₈	C₂⁵	1	8	yes	—
1187	C₂×Q₈	C₂⁵	1	8	yes	—
1188	C₂×Q₈	C₂⁵	1	8	yes	—
1189	C₂×Q₈	C₂⁵	1	8	yes	—
1190	C₂×Q₈	C₂⁵	1	32	yes	—
1191	C₂×Q₈	C₂⁵	1	16	yes	—
1192	C₂×Q₈	C₂⁵	1	32	yes	—
1193	C₂×D₄	—	2	16	no	—
1194	C₂×D₄	—	2	16	no	—
1195	C₂×D₄	—	2	16	no	—
1196	C₂×D₄	—	2	8	no	—
1197	C₂×D₄	—	2	8	no	—
1198	C₂×D₄	—	2	32	no	—
1199	C₂×D₄	—	2	8	no	—
1200	C₂×D₄	—	2	8	no	—
1201	C₂×D₄	—	2	8	no	—
1202	C₂×D₄	—	4	32	no	—
1203	C₂×D₄	—	4	64	no	—
1204	C₂×D₄	—	4	64	no	—
1205	C₂×D₄	—	4	16	no	—
1206	C₂×D₄	—	4	16	no	—
1207	C₂×D₄	—	4	8	no	—
1208	C₂×D₄	—	4	8	no	—
1209	C₂×D₄	—	4	8	no	—
1210	C₂×D₄	—	4	4	no	—
1211	C₂×D₄	—	4	4	no	—
1212	C₂×D₄	—	4	8	no	—
1213	C₂×D₄	—	4	16	no	—
1214	C₂×D₄	—	4	16	no	—
1215	C₂×D₄	—	4	16	no	—
1216	C₂×D₄	—	4	16	no	—
1217	C₂×D₄	—	4	8	no	—
1218	C₂×D₄	—	4	4	no	—
1219	C₂×D₄	—	4	4	no	—
1220	C₂×D₄	—	4	8	no	—
1221	C₂×D₄	—	4	16	no	—
1222	C₂×D₄	—	4	4	no	—
1223	C₂×D₄	—	4	16	no	—
1224	C₂×D₄	—	4	4	no	—
1225	C₂×D₄	—	4	8	no	—
1226	C₂×D₄	—	4	64	no	—
1227	C₂×D₄	—	4	128	no	—
1228	C₂×D₄	—	8	32	no	—
1229	C₂×D₄	—	8	16	no	—
1230	C₂×D₄	—	8	64	no	—
1231	C₂×D₄	C₂⁵	1	16	yes	—
1232	C₂×D₄	C₂⁵	1	16	yes	—
1233	C₂×D₄	C₂⁵	1	16	yes	—
1234	C₂×D₄	C₂⁵	1	8	yes	—
1235	C₂×D₄	C₂⁵	1	8	yes	—
1236	C₂×D₄	C₂⁵	1	8	yes	—
1237	C₂×D₄	C₂⁵	1	8	yes	—
1238	C₂×D₄	C₂⁵	1	8	yes	—
1239	C₂×D₄	C₂⁵	1	8	yes	—
1240	C₂×D₄	C₂⁵	1	16	yes	—
1241	C₂×D₄	C₂⁵	1	16	yes	—
1242	C₂×D₄	C₂⁵	1	32	yes	—
1243	C₂×D₄	C₂⁵	1	8	yes	—
1244	C₂×D₄	C₂⁵	1	8	yes	—
1245	C₂×D₄	C₂⁵	1	16	yes	—
1246	C₂×D₄	C₂⁵	1	32	yes	—
1247	C₂×D₄	C₂⁵	1	8	yes	—
1248	C₂×D₄	C₂⁵	1	32	yes	—
1249	C₂×D₄	C₂⁵	1	8	yes	—
1250	C₂×D₄	C₂⁵	1	32	yes	—
1251	C₂×D₄	C₂⁵	1	16	yes	—
1252	C₂×D₄	C₂⁵	1	32	yes	—
1253	C₂×D₄	C₂⁵	1	8	yes	—
1254	C₂×D₄	C₂⁵	1	16	yes	—
1255	C₂×D₄	C₂⁵	1	32	yes	—
1256	C₂×D₄	C₂⁵	1	16	yes	—
1257	C₂×D₄	C₂⁵	1	32	yes	—
1258	C₂×D₄	C₂⁵	1	16	yes	—
1259	C₂×D₄	C₂⁵	1	32	yes	—
1260	C₂²×C₄	—	2	4	no	—
1261	C₂²×C₄	—	2	8	no	—
1262	C₂²×C₄	—	2	8	no	—
1263	C₂²×C₄	—	2	8	no	—
1264	C₂²×C₄	—	2	32	no	—
1265	C₂²×C₄	—	2	16	no	—
1266	C₂²×C₄	—	2	16	no	—
1267	C₂²×C₄	—	2	16	no	—
1268	C₂²×C₄	—	4	64	no	—
1269	C₂²×C₄	—	4	8	no	—
1270	C₂²×C₄	—	4	8	no	—
1271	C₂²×C₄	—	4	8	no	—
1272	C₂²×C₄	—	4	2	no	—
1273	C₂²×C₄	—	4	8	no	—
1274	C₂²×C₄	—	4	4	no	—
1275	C₂²×C₄	—	4	8	no	—
1276	C₂²×C₄	—	4	2	no	—
1277	C₂²×C₄	—	4	8	no	—
1278	C₂²×C₄	—	4	2	no	—
1279	C₂²×C₄	—	4	16	no	—
1280	C₂²×C₄	—	4	4	no	—
1281	C₂²×C₄	—	4	16	no	—
1282	C₂²×C₄	—	4	16	no	—
1283	C₂²×C₄	—	4	16	no	—
1284	C₂²×C₄	—	4	2	no	—
1285	C₂²×C₄	—	4	16	no	—
1286	C₂²×C₄	—	4	8	no	—
1287	C₂²×C₄	—	8	16	no	—
1288	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
1289	C₂²×C₄	C₂⁵	1	8	yes	—
1290	C₂²×C₄	C₂⁵	1	16	yes	—
1291	C₂²×C₄	C₂⁵	1	4	yes	—
1292	C₂²×C₄	C₂⁵	1	16	yes	—
1293	C₂²×C₄	C₂⁵	1	16	yes	—
1294	C₂²×C₄	C₂⁵	1	8	yes	—
1295	C₂²×C₄	C₂⁵	1	8	yes	—
1296	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1297	C₂²×C₄	C₂⁵	1	4	yes	—
1298	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1299	C₂²×C₄	C₂⁵	1	2	yes	—
1300	C₂²×C₄	C₂⁵	1	2	yes	—
1301	C₂²×C₄	C₂⁵	1	4	yes	—
1302	C₂²×C₄	C₂⁵	1	4	yes	—
1303	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1304	C₂²×C₄	C₂⁵	1	4	yes	—
1305	C₂²×C₄	C₂⁵	1	4	yes	—
1306	C₂²×C₄	C₂⁵	1	4	yes	—
1307	C₂²×C₄	C₂⁵	1	4	yes	—
1308	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1309	C₂²×C₄	C₂⁵	1	4	yes	—
1310	C₂²×C₄	C₂⁵	1	2	yes	—
1311	C₂²×C₄	C₂⁵	1	4	yes	—
1312	C₂²×C₄	C₂⁵	1	4	yes	—
1313	C₂²×C₄	C₂⁵	1	4	yes	—
1314	C₂²×C₄	C₂⁵	1	16	yes	—
1315	C₂²×C₄	C₂⁵	1	16	yes	—
1316	C₂²×C₄	C₂⁵	1	8	yes	—
1317	C₂²×C₄	C₂⁵	1	4	yes	—
1318	C₂²×C₄	C₂⁵	1	8	yes	—
1319	C₂²×C₄	C₂⁵	1	16	yes	—
1320	C₂²×C₄	C₂⁵	1	32	yes	—
1321	C₂²×C₄	C₂⁵	1	16	yes	—
1322	C₂²×C₄	C₂⁵	1	32	yes	—
1323	C₂²×C₄	C₂⁵	1	32	yes	—
1324	C₂²×C₄	C₂⁵	1	32	yes	—
1325	C₂²×C₄	C₂⁵	1	32	yes	—
1326	C₂²×C₄	C₂⁵	1	16	yes	—
1327	C₂²×C₄	C₂⁵	1	16	yes	—
1328	C₂²×C₄	C₂⁵	1	16	yes	—
1329	C₂²×C₄	C₂⁵	1	4	yes	—
1330	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1332	C₄⋊C₄	C₂⁵	1	8	yes	—
1333	C₄⋊C₄	C₂⁵	1	8	yes	—
1334	C₄⋊C₄	C₂⁵	1	8	yes	—
1335	C₄⋊C₄	C₂⁵	1	8	yes	—
1336	C₄⋊C₄	C₂⁵	1	8	yes	—
1337	C₄⋊C₄	C₂⁵	1	16	yes	—
1338	C₄⋊C₄	C₂⁵	1	32	yes	—
1339	C₄⋊C₄	C₂⁵	1	32	yes	—
1340	C₄⋊C₄	C₂⁵	1	8	yes	—
1341	C₄⋊C₄	C₂⁵	1	8	yes	—
1342	C₄⋊C₄	C₂⁵	1	8	yes	—
1343	C₄⋊C₄	C₂⁵	1	8	yes	—
1344	C₄⋊C₄	C₂⁵	1	32	yes	—
1345	C₄⋊C₄	C₂⁵	1	32	yes	—
1346	C₄⋊C₄	C₂⁵	1	8	yes	—
1347	C₄⋊C₄	C₂⁵	1	8	yes	—
1348	C₄⋊C₄	C₂⁵	1	32	yes	—
1349	C₄⋊C₄	C₂⁵	1	32	yes	—
1350	C₄⋊C₄	C₂⁵	1	16	yes	—
1351	C₄⋊C₄	C₂⁵	1	16	yes	—
1352	C₄⋊C₄	C₂⁵	1	8	yes	—
1353	C₄⋊C₄	C₂⁵	1	8	yes	—
1354	C₄⋊C₄	C₂⁵	1	16	yes	—
1355	C₄⋊C₄	C₂⁵	1	16	yes	—
1356	C₄⋊C₄	C₂⁵	1	8	yes	—
1357	C₄⋊C₄	C₂⁵	1	16	yes	—
1358	C₄⋊C₄	C₂⁵	1	16	yes	—
1359	C₄⋊C₄	C₂⁵	1	8	yes	—
1360	C₄⋊C₄	C₂⁵	1	8	yes	—
1361	C₄⋊C₄	C₂⁵	1	16	yes	—
1362	C₄⋊C₄	C₂⁵	1	32	yes	—
1363	C₄⋊C₄	C₂⁵	1	32	yes	—
1364	C₄⋊C₄	C₂⁵	1	16	yes	—
1365	C₄⋊C₄	C₂⁵	1	8	yes	—
1366	C₄⋊C₄	C₂⁵	1	16	yes	—
1367	C₄⋊C₄	C₂⁵	1	8	yes	—
1368	C₂²⋊C₄	C₂⁵	1	32	yes	—
1369	C₂²⋊C₄	C₂⁵	1	16	yes	—
1370	C₂²⋊C₄	C₂⁵	1	16	yes	—
1371	C₂²⋊C₄	C₂⁵	1	32	yes	—
1372	C₂²⋊C₄	C₂⁵	1	32	yes	—
1373	C₂²⋊C₄	C₂⁵	1	32	yes	—
1374	C₂²⋊C₄	C₂⁵	1	32	yes	—
1375	C₂²⋊C₄	C₂⁵	1	32	yes	—
1376	C₂²⋊C₄	C₂⁵	1	16	yes	—
1377	C₂²⋊C₄	C₂⁵	1	32	yes	—
1378	C₂²⋊C₄	C₂⁵	1	16	yes	—
1379	C₂²⋊C₄	C₂⁵	1	16	yes	—
1380	C₂²⋊C₄	C₂⁵	1	16	yes	—
1381	C₂²⋊C₄	C₂⁵	1	8	yes	—
1382	C₂²⋊C₄	C₂⁵	1	8	yes	—
1383	C₂²⋊C₄	C₂⁵	1	8	yes	—
1384	C₂²⋊C₄	C₂⁵	1	8	yes	—
1385	C₂²⋊C₄	C₂⁵	1	32	yes	—
1386	C₂²⋊C₄	C₂⁵	1	32	yes	—
1387	C₂²⋊C₄	C₂⁵	1	32	yes	—
1388	C₂²⋊C₄	C₂⁵	1	32	yes	—
1389	C₂²⋊C₄	C₂⁵	1	16	yes	—
1390	C₂²⋊C₄	C₂⁵	1	16	yes	—
1391	C₂²⋊C₄	C₂⁵	1	16	yes	—
1392	C₂²⋊C₄	C₂⁵	1	16	yes	—
1393	C₂²⋊C₄	C₂⁵	1	32	yes	—
1394	C₂²⋊C₄	C₂⁵	1	16	yes	—
1395	C₂²⋊C₄	C₂⁵	1	16	yes	—
1396	C₂²⋊C₄	C₂⁵	1	32	yes	—
1397	C₂²⋊C₄	C₂⁵	1	16	yes	—
1398	C₂²⋊C₄	C₂⁵	1	16	yes	—
1399	C₂²⋊C₄	C₂⁵	1	16	yes	—
1400	C₂²⋊C₄	C₂⁵	1	32	yes	—
1401	C₂²⋊C₄	C₂⁵	1	16	yes	—
1402	C₂²⋊C₄	C₂⁵	1	16	yes	—
1403	C₂²⋊C₄	C₂⁵	1	16	yes	—
1404	C₂²⋊C₄	C₂⁵	1	16	yes	—
1405	C₄²	C₂⁵	1	8	yes	—
1406	C₄²	C₂⁵	1	4	yes	—
1407	C₄²	C₂⁵	1	8	yes	—
1408	C₄²	C₂⁵	1	4	yes	—
1409	C₄²	C₂⁵	1	4	yes	—
1410	C₄²	C₂⁵	1	16	yes	—
1411	C₄²	C₂⁵	1	4	yes	—
1412	C₄²	C₂⁵	1	16	yes	—
1413	C₄²	C₂⁵	1	16	yes	—
1414	C₄²	C₂⁵	1	16	yes	—
1415	C₄²	C₂⁵	1	16	yes	—
1416	C₄²	C₂⁵	1	32	yes	—
1417	C₄²	C₂⁵	1	32	yes	—
1418	C₂³	—	2	2	no	—
1419	C₂³	—	2	2	no	—
1420	C₂³	—	2	4	no	—
1421	C₂³	—	2	8	no	—
1422	C₂³	—	2	8	no	—
1423	C₂³	—	2	8	no	—
1424	C₂³	—	2	8	no	—
1425	C₂³	—	2	8	no	—
1426	C₂³	—	2	8	no	—
1427	C₂³	—	2	8	no	—
1428	C₂³	—	2	8	no	—
1429	C₂³	—	2	4	no	—
1430	C₂³	—	2	8	no	—
1431	C₂³	—	2	8	no	—
1432	C₂³	—	2	4	no	—
1433	C₂³	—	2	8	no	—
1434	C₂³	—	2	8	no	—
1435	C₂³	—	2	8	no	—
1436	C₂³	—	2	16	no	—
1437	C₂³	—	4	16	no	—
1438	C₂³	—	4	8	no	—
1439	C₂³	—	4	4	no	—
1440	C₂³	—	4	16	no	—
1441	C₂³	—	4	4	no	—
1442	C₂³	—	4	8	no	—
1443	C₂³	—	4	16	no	—
1444	C₂³	—	4	32	no	—
1445	C₂³	—	4	32	no	—
1446	C₂³	—	4	32	no	—
1447	C₂³	—	8	8	no	—
1448	C₂³	—	8	16	no	—
1449	C₂³	—	8	32	no	—
1450	C₂³	—	16	32	no	—
1451	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1452	C₂³	C₂⁶	1	4	yes	—
1453	C₂³	C₂⁶	1	8	yes	—
1454	C₂³	C₂⁶	1	8	yes	—
1455	C₂³	C₂⁶	1	8	yes	—
1456	C₂³	C₂⁶	1	8	yes	—
1457	C₂³	C₂⁶	1	2	yes	—
1458	C₂³	C₂⁶	1	1	yes	characteristic
1459	Q₈	—	2	16	no	—
1460	Q₈	—	2	16	no	—
1461	Q₈	—	2	16	no	—
1462	Q₈	—	2	16	no	—
1463	Q₈	—	2	16	no	—
1464	Q₈	—	4	32	no	—
1465	Q₈	—	4	16	no	—
1466	Q₈	—	4	32	no	—
1467	Q₈	—	4	8	no	—
1468	Q₈	—	4	8	no	—
1469	D₄	—	2	32	no	—
1470	D₄	—	2	32	no	—
1471	D₄	—	2	32	no	—
1472	D₄	—	2	16	no	—
1473	D₄	—	2	16	no	—
1474	D₄	—	2	16	no	—
1475	D₄	—	2	16	no	—
1476	D₄	—	2	16	no	—
1477	D₄	—	4	32	no	—
1478	D₄	—	4	32	no	—
1479	D₄	—	4	16	no	—
1480	D₄	—	4	16	no	—
1481	D₄	—	4	16	no	—
1482	D₄	—	4	8	no	—
1483	D₄	—	4	8	no	—
1484	D₄	—	4	16	no	—
1485	D₄	—	4	32	no	—
1486	D₄	—	4	32	no	—
1487	D₄	—	4	32	no	—
1488	D₄	—	4	32	no	—
1489	D₄	—	4	16	no	—
1490	D₄	—	4	8	no	—
1491	D₄	—	4	8	no	—
1492	D₄	—	4	16	no	—
1493	D₄	—	4	32	no	—
1494	D₄	—	4	8	no	—
1495	D₄	—	4	32	no	—
1496	D₄	—	4	8	no	—
1497	D₄	—	4	16	no	—
1498	C₂×C₄	—	2	4	no	—
1499	C₂×C₄	—	2	8	no	—
1500	C₂×C₄	—	2	8	no	—
1501	C₂×C₄	—	2	8	no	—
1502	C₂×C₄	—	2	8	no	—
1503	C₂×C₄	—	2	8	no	—
1504	C₂×C₄	—	2	16	no	—
1505	C₂×C₄	—	2	2	no	—
1506	C₂×C₄	—	2	8	no	—
1507	C₂×C₄	—	2	2	no	—
1508	C₂×C₄	—	2	8	no	—
1509	C₂×C₄	—	2	8	no	—
1510	C₂×C₄	—	2	4	no	—
1511	C₂×C₄	—	2	4	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	8	no	—
1514	C₂×C₄	—	2	2	no	—
1515	C₂×C₄	—	2	16	no	—
1516	C₂×C₄	—	2	16	no	—
1517	C₂×C₄	—	2	32	no	—
1518	C₂×C₄	—	2	32	no	—
1519	C₂×C₄	—	2	32	no	—
1520	C₂×C₄	—	4	16	no	—
1521	C₂×C₄	—	4	16	no	—
1522	C₂×C₄	—	4	16	no	—
1523	C₂×C₄	—	4	4	no	—
1524	C₂×C₄	—	4	16	no	—
1525	C₂×C₄	—	4	8	no	—
1526	C₂×C₄	—	4	16	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	16	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	32	no	—
1531	C₂×C₄	—	4	8	no	—
1532	C₂×C₄	—	4	32	no	—
1533	C₂×C₄	—	4	32	no	—
1534	C₂×C₄	—	4	32	no	—
1535	C₂×C₄	—	4	4	no	—
1536	C₂×C₄	—	4	32	no	—
1537	C₂×C₄	—	4	16	no	—
1538	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1539	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1540	C₂×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
1541	C₂×C₄	C₂⁶	1	2	yes	—
1542	C₂×C₄	C₂⁶	1	8	yes	—
1543	C₂×C₄	C₂⁶	1	2	yes	—
1544	C₂×C₄	C₂⁶	1	4	yes	—
1545	C₂×C₄	C₂⁶	1	4	yes	—
1546	C₂×C₄	C₂⁶	1	8	yes	—
1547	C₂×C₄	C₂⁶	1	2	yes	—
1548	C₂×C₄	C₂⁶	1	8	yes	—
1549	C₂×C₄	C₂⁶	1	8	yes	—
1550	C₂×C₄	C₂⁶	1	8	yes	—
1551	C₂×C₄	C₂⁶	1	8	yes	—
1552	C₂×C₄	C₂⁶	1	8	yes	—
1553	C₂×C₄	C₂⁶	1	2	yes	—
1554	C₂×C₄	C₂⁶	1	8	yes	—
1555	C₂×C₄	C₂⁶	1	4	yes	—
1556	C₂×C₄	C₂⁶	1	2	yes	—
1557	C₂×C₄	C₂⁶	1	2	yes	—
1558	C₂²	—	2	2	no	—
1559	C₂²	—	2	2	no	—
1560	C₂²	—	2	8	no	—
1561	C₂²	—	2	4	no	—
1562	C₂²	—	2	8	no	—
1563	C₂²	—	2	8	no	—
1564	C₂²	—	2	8	no	—
1565	C₂²	—	2	8	no	—
1566	C₂²	—	2	8	no	—
1567	C₂²	—	2	8	no	—
1568	C₂²	—	2	8	no	—
1569	C₂²	—	2	8	no	—
1570	C₂²	—	2	4	no	—
1571	C₂²	—	2	8	no	—
1572	C₂²	—	2	8	no	—
1573	C₂²	—	2	4	no	—
1574	C₂²	—	2	8	no	—
1575	C₂²	—	2	8	no	—
1576	C₂²	—	4	16	no	—
1577	C₂²	—	4	8	no	—
1578	C₂²	—	4	16	no	—
1579	C₂²	—	4	16	no	—
1580	C₂²	—	4	16	no	—
1581	C₂²	—	8	8	no	—
1582	C₂²	—	8	16	no	—
1583	C₂²	—	8	32	no	—
1584	C₂²	—	16	32	no	—
1585	C₂²	C₂²×H(5,𝔽₂)	1	4	yes	—
1586	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1587	C₂²	H(7,𝔽₂)	1	2	yes	—
1588	C₂²	2₋¹⁺⁶	1	2	yes	—
1589	C₂²	C₂⁷	1	1	yes	characteristic
1590	C₄	—	2	4	no	—
1591	C₄	—	2	8	no	—
1592	C₄	—	2	8	no	—
1593	C₄	—	2	8	no	—
1594	C₄	—	2	8	no	—
1595	C₄	—	2	2	no	—
1596	C₄	—	2	8	no	—
1597	C₄	—	2	2	no	—
1598	C₄	—	2	8	no	—
1599	C₄	—	2	8	no	—
1600	C₄	—	2	4	no	—
1601	C₄	—	2	4	no	—
1602	C₄	—	2	2	no	—
1603	C₄	—	2	8	no	—
1604	C₄	—	2	2	no	—
1605	C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1606	C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1607	C₂	—	2	4	no	—
1608	C₂	—	4	8	no	—
1609	C₂	—	4	4	no	—
1610	C₂	—	4	8	no	—
1611	C₂	—	4	8	no	—
1612	C₂	—	4	8	no	—
1613	C₂	#62878	1	4	yes	direct product factor
1614	C₂	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1615	C₂	C₂×H(7,𝔽₂)	1	1	yes	characteristic
1616	C₂	C₂×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁷
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62878	C₂	direct (N × H)
2. C₂×#3500	C₂	semidirect
3. C₂×#3489	C₂	semidirect
4. C₂×#3511	C₂	semidirect
5. C₂×#3488	C₂	semidirect
6. C₂×#3497	C₂	semidirect
7. C₂×#3507	C₂	semidirect
8. C₂×#3506	C₂	semidirect
9. C₂×#3496	C₂	semidirect
10. C₂×#3546	C₂	semidirect
11. C₂×#3554	C₂	semidirect
12. C₂×#3560	C₂	semidirect
13. C₂×#3561	C₂	semidirect
14. C₂×#3558	C₂	semidirect
15. C₂×#3558	C₂	semidirect
16. C₂×#3540	C₂	semidirect
17. C₂×#3536	C₂	semidirect
18. C₂×#3536	C₂	semidirect
19. C₂×#3534	C₂	semidirect
20. C₂×#3541	C₂	semidirect
21. C₂×#3542	C₂	semidirect
22. C₂×#3455	C₂	semidirect
23. C₂×#3449	C₂	semidirect
24. C₂²×#542	C₂	semidirect
25. C₂²×2₋¹⁺⁴	C₂²	semidirect
26. C₂²×H(5,𝔽₂)	C₂²	semidirect
27. C₂³×#41	C₂²	semidirect
28. #3561	C₂²	semidirect
29. #3560	C₂²	semidirect
30. #3558	C₂²	semidirect
31. #3558	C₂²	semidirect
32. #3554	C₂²	semidirect
33. #3546	C₂²	semidirect
34. #3542	C₂²	semidirect
35. #3541	C₂²	semidirect
36. #3540	C₂²	semidirect
37. #3536	C₂²	semidirect
38. #3536	C₂²	semidirect
39. #3534	C₂²	semidirect
40. C₂×#563	C₂²	semidirect
41. C₂×#562	C₂²	semidirect
42. C₂×#562	C₂²	semidirect
43. C₂×#562	C₂²	semidirect
44. C₂×#562	C₂²	semidirect
45. C₂×H(3,𝔽₄)	C₂²	semidirect
46. C₂×#560	C₂²	semidirect
47. C₂×#560	C₂²	semidirect
48. #3511	C₂²	semidirect
49. #3507	C₂²	semidirect
50. #3506	C₂²	semidirect
51. #3500	C₂²	semidirect
52. #3497	C₂²	semidirect
53. #3496	C₂²	semidirect
54. #3489	C₂²	semidirect
55. #3488	C₂²	semidirect
56. C₂×#559	C₂²	semidirect
57. C₂×#559	C₂²	semidirect
58. C₂×#559	C₂²	semidirect
59. C₂×#557	C₂²	semidirect
60. C₂×#556	C₂²	semidirect
61. C₂×#556	C₂²	semidirect
62. C₂×#556	C₂²	semidirect
63. C₂×#556	C₂²	semidirect
64. C₂×#555	C₂²	semidirect
65. C₂×#555	C₂²	semidirect
66. C₂×#554	C₂²	semidirect
67. C₂×#554	C₂²	semidirect
68. C₂×#554	C₂²	semidirect
69. C₂×#553	C₂²	semidirect
70. C₂×#553	C₂²	semidirect
71. C₂×#553	C₂²	semidirect
72. C₂×#552	C₂²	semidirect
73. C₂×#551	C₂²	semidirect
74. C₂×#551	C₂²	semidirect
75. C₂×#550	C₂²	semidirect
76. C₂×#550	C₂²	semidirect
77. C₂×#550	C₂²	semidirect
78. C₂×#550	C₂²	semidirect
79. C₂×D₄×Q₈	C₂²	semidirect
80. C₂×D₄×Q₈	C₂²	semidirect
81. C₂×D₄×Q₈	C₂²	semidirect
82. C₂×#548	C₂²	semidirect
83. C₂×#548	C₂²	semidirect
84. C₂×#548	C₂²	semidirect
85. C₂×#548	C₂²	semidirect
86. C₂×#548	C₂²	semidirect
87. C₂×#548	C₂²	semidirect
88. C₂×#548	C₂²	semidirect
89. C₂×#547	C₂²	semidirect
90. C₂×#547	C₂²	semidirect
91. C₂×#547	C₂²	semidirect
92. C₂×#547	C₂²	semidirect
93. C₂×#547	C₂²	semidirect
94. C₂×#547	C₂²	semidirect
95. C₂×#546	C₂²	semidirect
96. C₂×#546	C₂²	semidirect
97. C₂×#546	C₂²	semidirect
98. C₂×#546	C₂²	semidirect
99. C₂×#546	C₂²	semidirect
100. C₂×#546	C₂²	semidirect
101. C₂×#546	C₂²	semidirect
102. C₂×#546	C₂²	semidirect
103. C₂×#546	C₂²	semidirect
104. C₂×#546	C₂²	semidirect
105. C₂×#546	C₂²	semidirect
106. C₂×#546	C₂²	semidirect
107. C₂×#546	C₂²	semidirect
108. C₂×D₄²	C₂²	semidirect
109. C₂×D₄²	C₂²	semidirect
110. C₂×D₄²	C₂²	semidirect
111. C₂×D₄²	C₂²	semidirect
112. C₂×#543	C₂²	semidirect
113. #3455	C₂²	semidirect
114. C₂×#542	C₂²	semidirect
115. C₂×#542	C₂²	semidirect
116. C₂×#542	C₂²	semidirect
117. C₂×#542	C₂²	semidirect
118. C₂×#542	C₂²	semidirect
119. C₂×#542	C₂²	semidirect
120. C₂×#542	C₂²	semidirect
121. C₂×#542	C₂²	semidirect
122. C₂×#542	C₂²	semidirect
123. C₂×#542	C₂²	semidirect
124. C₂×#542	C₂²	semidirect
125. C₂×#542	C₂²	semidirect
126. C₂×#541	C₂²	semidirect
127. C₂×#540	C₂²	semidirect
128. C₂×#540	C₂²	semidirect
129. C₂×#539	C₂²	semidirect
130. C₂×#539	C₂²	semidirect
131. C₂×#539	C₂²	semidirect
132. C₂×#539	C₂²	semidirect
133. C₂×#539	C₂²	semidirect
134. C₂×#538	C₂²	semidirect
135. C₂×#538	C₂²	semidirect
136. C₂×#538	C₂²	semidirect
137. C₂×#538	C₂²	semidirect
138. C₂×#538	C₂²	semidirect
139. C₂×#538	C₂²	semidirect
140. C₂×#538	C₂²	semidirect
141. C₂×#538	C₂²	semidirect
142. C₂×#538	C₂²	semidirect
143. #3449	C₂²	semidirect
144. C₂×#537	C₂²	semidirect
145. C₂×#537	C₂²	semidirect
146. C₂×#537	C₂²	semidirect
147. C₂×#537	C₂²	semidirect
148. C₂×#537	C₂²	semidirect
149. C₂×#537	C₂²	semidirect
150. C₂×#537	C₂²	semidirect
151. C₂×#537	C₂²	semidirect
152. C₂×#536	C₂²	semidirect
153. C₂×#536	C₂²	semidirect
154. C₂×#536	C₂²	semidirect
155. C₂×#536	C₂²	semidirect
156. C₂×#536	C₂²	semidirect
157. C₂×#535	C₂²	semidirect
158. C₂×#535	C₂²	semidirect
159. C₂×#535	C₂²	semidirect
160. C₂×#535	C₂²	semidirect
161. C₂×#535	C₂²	semidirect
162. C₂×#535	C₂²	semidirect
163. C₂×#534	C₂²	semidirect
164. C₂×#534	C₂²	semidirect
165. C₂×#534	C₂²	semidirect
166. C₂×#534	C₂²	semidirect
167. C₂×#533	C₂²	semidirect
168. C₂×#533	C₂²	semidirect
170. C₂×#532	C₂²	semidirect
171. C₂×#532	C₂²	semidirect
172. C₂×#532	C₂²	semidirect
173. C₂×#532	C₂²	semidirect
174. C₂×#532	C₂²	semidirect
175. C₂×#532	C₂²	semidirect
176. C₂²×C₄⋊Q₈	C₂²	semidirect
177. C₂×#529	C₂²	semidirect
178. C₂×#529	C₂²	semidirect
179. C₂×#529	C₂²	semidirect
180. C₂²×#126	C₂²	semidirect
181. C₂²×#124	C₂²	semidirect
182. C₂²×#124	C₂²	semidirect
183. C₂²×#124	C₂²	semidirect
184. C₂×#525	C₂²	semidirect
185. C₂×#525	C₂²	semidirect
186. C₂×#525	C₂²	semidirect
187. C₂×#525	C₂²	semidirect
188. C₂×#525	C₂²	semidirect
189. C₂×#525	C₂²	semidirect
190. C₂²×#123	C₂²	semidirect
191. C₂²×C₂²⋊Q₈	C₂²	semidirect
192. C₂²×C₂²⋊Q₈	C₂²	semidirect
193. C₂²×C₂²⋊Q₈	C₂²	semidirect
195. C₂²×#121	C₂²	semidirect
196. C₂²×#121	C₂²	semidirect
197. C₂×#520	C₂²	semidirect
198. C₂×#520	C₂²	semidirect
199. C₂×C₄×#41	C₂²	semidirect
200. C₂²×C₄×Q₈	C₂²	semidirect
201. C₂²×C₄×D₄	C₂²	semidirect
202. C₂²×#117	C₂²	semidirect
204. C₂×2₋¹⁺⁴	C₂³	semidirect
206. C₂×H(5,𝔽₂)	C₂³	semidirect
222. C₂²×#41	C₂³	semidirect
240. #563	C₂³	semidirect
241. #562	C₂³	semidirect
242. #562	C₂³	semidirect
243. #562	C₂³	semidirect
244. #562	C₂³	semidirect
245. H(3,𝔽₄)	C₂³	semidirect
246. #560	C₂³	semidirect
247. #560	C₂³	semidirect
248. #559	C₂³	semidirect
249. #559	C₂³	semidirect
250. #559	C₂³	semidirect
251. #557	C₂³	semidirect
252. #556	C₂³	semidirect
253. #556	C₂³	semidirect
254. #556	C₂³	semidirect
255. #556	C₂³	semidirect
256. #555	C₂³	semidirect
257. #555	C₂³	semidirect
258. #554	C₂³	semidirect
259. #554	C₂³	semidirect
260. #554	C₂³	semidirect
261. #553	C₂³	semidirect
262. #553	C₂³	semidirect
263. #553	C₂³	semidirect
264. #552	C₂³	semidirect
265. #551	C₂³	semidirect
266. #551	C₂³	semidirect
267. #550	C₂³	semidirect
268. #550	C₂³	semidirect
269. #550	C₂³	semidirect
270. #550	C₂³	semidirect
271. D₄×Q₈	C₂³	semidirect
272. D₄×Q₈	C₂³	semidirect
273. D₄×Q₈	C₂³	semidirect
274. #548	C₂³	semidirect
275. #548	C₂³	semidirect
276. #548	C₂³	semidirect
277. #548	C₂³	semidirect
278. #548	C₂³	semidirect
279. #548	C₂³	semidirect
280. #548	C₂³	semidirect
281. #547	C₂³	semidirect
282. #547	C₂³	semidirect
283. #547	C₂³	semidirect
284. #547	C₂³	semidirect
285. #547	C₂³	semidirect
286. #547	C₂³	semidirect
287. #546	C₂³	semidirect
288. #546	C₂³	semidirect
289. #546	C₂³	semidirect
290. #546	C₂³	semidirect
291. #546	C₂³	semidirect
292. #546	C₂³	semidirect
293. #546	C₂³	semidirect
294. #546	C₂³	semidirect
295. #546	C₂³	semidirect
296. #546	C₂³	semidirect
297. #546	C₂³	semidirect
298. #546	C₂³	semidirect
299. #546	C₂³	semidirect
300. D₄²	C₂³	semidirect
301. D₄²	C₂³	semidirect
302. D₄²	C₂³	semidirect
303. D₄²	C₂³	semidirect
304. #543	C₂³	semidirect
305. #542	C₂³	semidirect
306. #542	C₂³	semidirect
307. #542	C₂³	semidirect
308. #542	C₂³	semidirect
309. #542	C₂³	semidirect
310. #542	C₂³	semidirect
311. #542	C₂³	semidirect
312. #542	C₂³	semidirect
313. #542	C₂³	semidirect
314. #542	C₂³	semidirect
315. #542	C₂³	semidirect
316. #541	C₂³	semidirect
317. #540	C₂³	semidirect
318. #540	C₂³	semidirect
319. #539	C₂³	semidirect
320. #539	C₂³	semidirect
321. #539	C₂³	semidirect
322. #539	C₂³	semidirect
323. #539	C₂³	semidirect
324. #538	C₂³	semidirect
325. #538	C₂³	semidirect
326. #538	C₂³	semidirect
327. #538	C₂³	semidirect
328. #538	C₂³	semidirect
329. #538	C₂³	semidirect
330. #538	C₂³	semidirect
331. #538	C₂³	semidirect
332. #538	C₂³	semidirect
333. #537	C₂³	semidirect
334. #537	C₂³	semidirect
335. #537	C₂³	semidirect
336. #537	C₂³	semidirect
337. #537	C₂³	semidirect
338. #537	C₂³	semidirect
339. #537	C₂³	semidirect
340. #537	C₂³	semidirect
341. #536	C₂³	semidirect
342. #536	C₂³	semidirect
343. #536	C₂³	semidirect
344. #536	C₂³	semidirect
345. #536	C₂³	semidirect
346. #535	C₂³	semidirect
347. #535	C₂³	semidirect
348. #535	C₂³	semidirect
349. #535	C₂³	semidirect
350. #535	C₂³	semidirect
351. #535	C₂³	semidirect
352. #534	C₂³	semidirect
353. #534	C₂³	semidirect
354. #534	C₂³	semidirect
355. #534	C₂³	semidirect
356. #533	C₂³	semidirect
357. #533	C₂³	semidirect
359. #532	C₂³	semidirect
360. #532	C₂³	semidirect
361. #532	C₂³	semidirect
362. #532	C₂³	semidirect
363. #532	C₂³	semidirect
364. #532	C₂³	semidirect
376. C₂×C₄⋊Q₈	C₂³	semidirect
384. #529	C₂³	semidirect
385. #529	C₂³	semidirect
386. #529	C₂³	semidirect
398. C₂×#126	C₂³	semidirect
428. C₂×#124	C₂³	semidirect
429. C₂×#124	C₂³	semidirect
430. C₂×#124	C₂³	semidirect
431. #525	C₂³	semidirect
432. #525	C₂³	semidirect
433. #525	C₂³	semidirect
434. #525	C₂³	semidirect
435. #525	C₂³	semidirect
436. #525	C₂³	semidirect
462. C₂×#123	C₂³	semidirect
496. C₂×C₂²⋊Q₈	C₂³	semidirect
497. C₂×C₂²⋊Q₈	C₂³	semidirect
498. C₂×C₂²⋊Q₈	C₂³	semidirect
546. C₂×#121	C₂³	semidirect
547. C₂×#121	C₂³	semidirect
562. #520	C₂³	semidirect
563. #520	C₂³	semidirect
564. C₄×#41	C₂³	semidirect
577. C₂×C₄×Q₈	C₂³	semidirect
612. C₂×C₄×D₄	C₂³	semidirect
624. C₂×#117	C₂³	semidirect
1613. C₂	#62878	direct (N × H)

Maximal subgroups

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

subgroup	index
#62878	2
C₂×#3500	2
C₂×#3489	2
C₂×#3511	2
C₂×#3488	2
C₂×#3497	2
C₂×#3507	2
C₂×#3506	2
C₂×#3496	2
C₂×#3546	2
C₂×#3554	2
C₂×#3560	2
C₂×#3561	2
C₂×#3558	2
C₂×#3540	2
C₂×#3536	2
C₂×#3534	2
C₂×#3541	2
C₂×#3542	2
C₂×#3455	2
C₂×#3449	2
C₂²×#542	2

Subgroups — C2×#62878 #10586212

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#62878 #10586212