Subgroups — #8095825

Order 512.

7063 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#53116	C₂	1	2	yes	maximal, complemented
2	#53116	C₂	1	2	yes	maximal, complemented
3	#52990	C₂	1	2	yes	maximal, complemented
4	#52530	C₂	1	4	yes	maximal, complemented
5	#52410	C₂	1	4	yes	maximal, complemented
6	#52395	C₂	1	4	yes	maximal, complemented
7	#52301	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2684	C₂	1	2	yes	maximal, complemented
9	#46073	C₂	1	1	yes	maximal, characteristic, complemented
10	#46054	C₂	1	2	yes	maximal, complemented
11	#46031	C₂	1	4	yes	maximal, complemented
12	#45977	C₂	1	2	yes	maximal, complemented
13	#45667	C₂	1	1	yes	maximal, characteristic, complemented
14	#45645	C₂	1	2	yes	maximal, complemented
15	#45601	C₂	1	2	yes	maximal, complemented
16	#45568	C₂	1	2	yes	maximal, complemented
17	#45568	C₂	1	4	yes	maximal, complemented
18	#45479	C₂	1	1	yes	maximal, characteristic, complemented
19	#45458	C₂	1	4	yes	maximal, complemented
20	#45439	C₂	1	2	yes	maximal, complemented
21	#36238	C₂	1	2	yes	maximal, complemented
22	#36212	C₂	1	1	yes	maximal, characteristic, complemented
23	#36212	C₂	1	2	yes	maximal, complemented
24	#36152	C₂	1	2	yes	maximal, complemented
25	D₄×#124	C₂	1	1	yes	maximal, characteristic, complemented
26	D₄×#120	C₂	1	1	yes	maximal, characteristic, complemented
27	#35939	C₂	1	2	yes	maximal, complemented
28	#35903	C₂	1	2	yes	maximal, complemented
29	#35847	C₂	1	2	yes	maximal, complemented
30	C₂³×#41	C₂²	1	1	yes	characteristic, complemented
31	C₂⁴×D₄	C₂²	1	1	yes	characteristic, complemented
32	C₂×H(3,𝔽₄)	C₂²	1	2	yes	complemented
33	C₂×#554	C₂²	1	2	yes	complemented
34	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×#546	C₂²	1	2	yes	—
36	C₂×#546	C₂²	1	2	yes	—
37	C₂×#546	C₂²	1	2	yes	—
38	C₂×D₄²	C₂²	1	1	yes	characteristic
39	C₂×D₄²	C₂²	1	2	yes	—
40	C₂²×#124	C₂²	1	2	yes	complemented
41	C₂²×#120	C₂²	1	2	yes	—
42	#2861	C₂²	1	2	yes	complemented
43	#2858	C₂²	1	1	yes	characteristic, complemented
44	#2850	C₂²	1	2	yes	complemented
45	#2850	C₂²	1	4	yes	complemented
46	#2849	C₂²	1	4	yes	complemented
47	#2849	C₂²	1	2	yes	complemented
48	#2848	C₂²	1	2	yes	complemented
49	#2847	C₂²	1	1	yes	characteristic, complemented
50	#2847	C₂²	1	1	yes	characteristic, complemented
51	#2847	C₂²	1	2	yes	complemented
52	#2846	C₂²	1	4	yes	complemented
53	#2846	C₂²	1	2	yes	complemented
54	#2840	C₂²	1	4	yes	complemented
55	#2835	C₂²	1	2	yes	complemented
56	#2832	C₂²	1	4	yes	complemented
57	#2832	C₂²	1	4	yes	complemented
58	#2832	C₂²	1	2	yes	complemented
59	#2828	C₂²	1	4	yes	complemented
60	#2828	C₂²	1	4	yes	complemented
61	#2828	C₂²	1	4	yes	complemented
62	#2824	C₂²	1	4	yes	complemented
63	#2824	C₂²	1	4	yes	complemented
64	#2824	C₂²	1	4	yes	complemented
65	#2824	C₂²	1	4	yes	complemented
66	#2824	C₂²	1	4	yes	complemented
67	#2819	C₂²	1	4	yes	complemented
68	#2819	C₂²	1	4	yes	complemented
69	#2812	C₂²	1	4	yes	complemented
70	#2812	C₂²	1	4	yes	complemented
71	#2812	C₂²	1	2	yes	complemented
72	#2804	C₂²	1	1	yes	characteristic, complemented
73	#2804	C₂²	1	4	yes	complemented
74	#2804	C₂²	1	2	yes	complemented
75	#2785	C₂²	1	2	yes	complemented
76	#2782	C₂²	1	2	yes	complemented
77	#2782	C₂²	1	4	yes	complemented
78	#2782	C₂²	1	4	yes	complemented
79	#2782	C₂²	1	2	yes	complemented
80	#2782	C₂²	1	2	yes	complemented
81	#2763	C₂²	1	4	yes	complemented
82	#2753	C₂²	1	4	yes	complemented
83	#2753	C₂²	1	4	yes	complemented
84	#2753	C₂²	1	4	yes	complemented
85	#2753	C₂²	1	4	yes	complemented
86	#2753	C₂²	1	4	yes	complemented
87	#2753	C₂²	1	4	yes	complemented
88	#2753	C₂²	1	4	yes	complemented
89	#2736	C₂²	1	2	yes	complemented
90	#2736	C₂²	1	4	yes	complemented
91	#2736	C₂²	1	4	yes	complemented
92	#2733	C₂²	1	4	yes	complemented
93	#2712	C₂²	1	4	yes	complemented
94	#2712	C₂²	1	2	yes	complemented
95	#2712	C₂²	1	4	yes	complemented
96	#2712	C₂²	1	4	yes	complemented
97	#2712	C₂²	1	4	yes	complemented
98	#2684	C₂²	1	1	yes	characteristic
99	#2684	C₂²	1	2	yes	—
100	#2684	C₂²	1	4	yes	complemented
101	#2684	C₂²	1	2	yes	complemented
102	#2684	C₂²	1	4	yes	complemented
103	#2684	C₂²	1	2	yes	complemented
104	#2684	C₂²	1	4	yes	complemented
105	#2684	C₂²	1	4	yes	complemented
106	#2684	C₂²	1	2	yes	complemented
107	#2684	C₂²	1	1	yes	characteristic, complemented
108	#2684	C₂²	1	2	yes	complemented
109	#2684	C₂²	1	4	yes	complemented
110	#2684	C₂²	1	4	yes	complemented
111	#2684	C₂²	1	4	yes	complemented
112	#2684	C₂²	1	4	yes	complemented
113	#2684	C₂²	1	4	yes	complemented
114	#2684	C₂²	1	4	yes	complemented
115	#2684	C₂²	1	4	yes	complemented
116	#2679	C₂²	1	1	yes	characteristic
117	#2679	C₂²	1	4	yes	complemented
118	#2670	C₂²	1	4	yes	complemented
119	#2670	C₂²	1	4	yes	complemented
120	#2670	C₂²	1	4	yes	complemented
121	#2670	C₂²	1	4	yes	complemented
122	#2670	C₂²	1	4	yes	complemented
123	#2670	C₂²	1	4	yes	complemented
124	#2641	C₂²	1	2	yes	complemented
125	#2640	C₂²	1	2	yes	complemented
126	#2640	C₂²	1	2	yes	complemented
127	#2639	C₂²	1	4	yes	complemented
128	#2639	C₂²	1	4	yes	complemented
129	#2639	C₂²	1	4	yes	complemented
130	#2592	C₂²	1	2	yes	complemented
131	#2592	C₂²	1	2	yes	complemented
132	#2592	C₂²	1	2	yes	complemented
133	#2591	C₂²	1	4	yes	complemented
134	#2591	C₂²	1	4	yes	complemented
135	#2563	C₂²	1	2	yes	complemented
136	#2562	C₂²	1	2	yes	complemented
137	#2562	C₂²	1	2	yes	complemented
138	#2561	C₂²	1	4	yes	complemented
139	#2561	C₂²	1	4	yes	complemented
140	#2561	C₂²	1	4	yes	complemented
141	#2548	C₂²	1	1	yes	characteristic, complemented
142	#2548	C₂²	1	2	yes	complemented
143	#2547	C₂²	1	2	yes	complemented
144	#2547	C₂²	1	1	yes	characteristic, complemented
145	#2504	C₂²	1	4	yes	complemented
146	#2492	C₂²	1	2	yes	complemented
147	#2492	C₂²	1	2	yes	complemented
148	#2492	C₂²	1	2	yes	complemented
149	#2491	C₂²	1	2	yes	complemented
150	#2491	C₂²	1	2	yes	complemented
151	#2491	C₂²	1	2	yes	complemented
152	#2491	C₂²	1	2	yes	complemented
153	#2491	C₂²	1	2	yes	complemented
154	#2491	C₂²	1	2	yes	complemented
155	#2491	C₂²	1	2	yes	complemented
156	#2490	C₂²	1	2	yes	complemented
157	#2490	C₂²	1	2	yes	complemented
158	#2490	C₂²	1	2	yes	complemented
159	#2490	C₂²	1	2	yes	complemented
160	#2490	C₂²	1	2	yes	complemented
161	#2489	C₂²	1	2	yes	complemented
162	#2489	C₂²	1	2	yes	complemented
163	#2489	C₂²	1	2	yes	complemented
164	#2488	C₂²	1	4	yes	complemented
165	#2488	C₂²	1	4	yes	complemented
166	#2488	C₂²	1	4	yes	complemented
167	#2488	C₂²	1	4	yes	complemented
168	#2488	C₂²	1	4	yes	complemented
169	#2488	C₂²	1	4	yes	complemented
170	#2472	C₂²	1	4	yes	complemented
171	#2472	C₂²	1	4	yes	complemented
172	#2472	C₂²	1	4	yes	complemented
173	#2472	C₂²	1	4	yes	complemented
174	#2472	C₂²	1	4	yes	complemented
175	#2472	C₂²	1	4	yes	complemented
176	#2472	C₂²	1	4	yes	complemented
177	#2472	C₂²	1	4	yes	complemented
178	#2472	C₂²	1	4	yes	complemented
179	#2472	C₂²	1	4	yes	complemented
180	#2472	C₂²	1	4	yes	complemented
181	#2472	C₂²	1	4	yes	complemented
182	#2436	C₂²	1	2	yes	complemented
183	#2436	C₂²	1	1	yes	characteristic, complemented
184	#2436	C₂²	1	2	yes	complemented
185	#2436	C₂²	1	4	yes	complemented
186	#2435	C₂²	1	2	yes	complemented
187	#2435	C₂²	1	2	yes	complemented
188	#2435	C₂²	1	2	yes	complemented
189	#2435	C₂²	1	2	yes	complemented
190	#2435	C₂²	1	4	yes	complemented
191	#2433	C₂²	1	1	yes	characteristic, complemented
192	#2433	C₂²	1	2	yes	complemented
193	#2431	C₂²	1	2	yes	complemented
194	#2431	C₂²	1	2	yes	complemented
195	#2431	C₂²	1	2	yes	complemented
196	#2430	C₂²	1	4	yes	complemented
197	#2430	C₂²	1	4	yes	complemented
198	#2430	C₂²	1	4	yes	complemented
199	#2410	C₂²	1	2	yes	complemented
200	#2410	C₂²	1	4	yes	complemented
201	#2410	C₂²	1	4	yes	complemented
202	#2410	C₂²	1	4	yes	complemented
203	#2410	C₂²	1	4	yes	complemented
204	#2410	C₂²	1	4	yes	complemented
205	#2410	C₂²	1	2	yes	complemented
206	#2409	C₂²	1	1	yes	characteristic, complemented
207	#2409	C₂²	1	2	yes	complemented
208	#2408	C₂²	1	2	yes	—
209	#2408	C₂²	1	1	yes	characteristic
210	#2408	C₂²	1	2	yes	complemented
211	#2408	C₂²	1	2	yes	complemented
212	#2408	C₂²	1	2	yes	complemented
213	#2407	C₂²	1	2	yes	complemented
214	#2407	C₂²	1	2	yes	complemented
215	#2407	C₂²	1	2	yes	complemented
216	#2405	C₂²	1	4	yes	complemented
217	#2405	C₂²	1	4	yes	complemented
218	#2405	C₂²	1	4	yes	complemented
219	#2404	C₂²	1	4	yes	complemented
220	#2404	C₂²	1	4	yes	complemented
221	#2404	C₂²	1	4	yes	complemented
222	#2403	C₂²	1	2	yes	—
223	#2403	C₂²	1	4	yes	—
224	#2403	C₂²	1	2	yes	complemented
225	#2403	C₂²	1	4	yes	complemented
226	#2398	C₂²	1	2	yes	complemented
227	#2398	C₂²	1	2	yes	complemented
228	#2398	C₂²	1	2	yes	complemented
229	C₂×#397	C₂²	1	4	yes	complemented
230	C₂×#394	C₂²	1	4	yes	complemented
231	C₂×#393	C₂²	1	4	yes	complemented
232	#2379	C₂²	1	4	yes	complemented
233	#2379	C₂²	1	2	yes	complemented
234	#2375	C₂²	1	2	yes	complemented
235	#2375	C₂²	1	4	yes	complemented
236	#2375	C₂²	1	4	yes	complemented
237	#2339	C₂²	1	2	yes	complemented
238	#2339	C₂²	1	2	yes	complemented
239	#2339	C₂²	1	2	yes	complemented
240	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
241	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
242	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
243	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
244	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
245	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
246	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
247	C₄×#124	C₂²	1	1	yes	characteristic, complemented
248	C₄×#124	C₂²	1	2	yes	complemented
249	C₄×#120	C₂²	1	1	yes	characteristic
250	C₄×#120	C₂²	1	2	yes	complemented
251	C₄×#120	C₂²	1	2	yes	complemented
252	C₄×#120	C₂²	1	1	yes	characteristic, complemented
253	C₂×#388	C₂²	1	4	yes	complemented
254	C₂×#386	C₂²	1	4	yes	complemented
255	C₂×#386	C₂²	1	2	yes	complemented
256	C₂×#379	C₂²	1	4	yes	complemented
257	#2275	C₂²	1	2	yes	complemented
258	C₄²×D₄	C₂²	1	1	yes	characteristic, complemented
259	C₂⁶	C₂³	1	2	yes	—
260	C₂²×#41	—	4	4	no	—
261	C₂²×#41	—	4	8	no	—
262	C₂²×#41	C₂³	1	2	yes	—
263	C₂²×#41	C₂³	1	4	yes	complemented
264	C₂²×#41	C₂³	1	2	yes	complemented
265	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
266	C₂³×Q₈	C₂³	1	2	yes	complemented
267	C₂³×D₄	—	4	4	no	—
268	C₂³×D₄	—	4	8	no	—
269	C₂³×D₄	C₂³	1	1	yes	characteristic
270	C₂³×D₄	C₂³	1	2	yes	—
271	C₂³×D₄	C₂³	1	1	yes	characteristic
272	C₂³×D₄	C₂³	1	2	yes	—
273	C₂³×D₄	C₂³	1	2	yes	—
274	C₂³×D₄	C₂³	1	4	yes	—
275	C₂³×D₄	C₂³	1	2	yes	—
276	C₂³×D₄	C₂³	1	1	yes	characteristic
277	C₂³×D₄	C₂³	1	4	yes	—
278	C₂³×D₄	C₂³	1	2	yes	complemented
279	C₂⁴×C₄	C₂³	1	1	yes	characteristic
280	C₂⁴×C₄	C₂³	1	1	yes	characteristic, complemented
281	C₂⁴×C₄	C₂³	1	2	yes	complemented
282	H(3,𝔽₄)	—	4	8	no	—
283	#554	—	4	8	no	—
284	D₄×Q₈	—	4	4	no	—
285	#546	—	4	8	no	—
286	#546	—	4	8	no	—
287	#546	—	4	8	no	—
288	D₄²	—	4	4	no	—
289	D₄²	—	4	8	no	—
290	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
291	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
292	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
293	C₂×#127	C₂³	1	1	yes	characteristic
294	C₂×#127	C₂³	1	2	yes	—
295	C₂×#125	C₂³	1	2	yes	complemented
296	C₂×#125	C₂³	1	2	yes	complemented
297	C₂×#124	—	4	8	no	—
298	C₂×#124	C₂³	1	2	yes	—
299	C₂×#124	C₂³	1	1	yes	characteristic
300	C₂×#124	C₂³	1	2	yes	—
301	C₂×#124	C₂³	1	2	yes	—
302	C₂×#124	C₂³	1	2	yes	—
303	C₂×#124	C₂³	1	4	yes	—
304	C₂×#124	C₂³	1	4	yes	—
305	C₂×#124	C₂³	1	2	yes	—
306	C₂×#124	C₂³	1	4	yes	—
307	C₂×#124	C₂³	1	2	yes	complemented
308	C₂×#124	C₂³	1	4	yes	complemented
309	C₂×#124	C₂³	1	2	yes	complemented
310	C₂×#124	C₂³	1	4	yes	complemented
311	C₂×#124	C₂³	1	4	yes	complemented
312	C₂×#124	C₂³	1	4	yes	complemented
313	C₂×#124	C₂³	1	4	yes	complemented
314	C₂×#124	C₂³	1	4	yes	complemented
315	C₂×#124	C₂³	1	2	yes	complemented
316	C₂×#123	C₂³	1	4	yes	—
317	C₂×#123	C₂³	1	4	yes	—
318	C₂×#123	C₂³	1	4	yes	—
319	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
320	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
321	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
322	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
323	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
324	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
325	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
326	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
327	C₂×#121	C₂³	1	4	yes	—
328	C₂×#121	C₂³	1	4	yes	—
329	C₂×#121	C₂³	1	2	yes	—
330	C₂×#121	C₂³	1	1	yes	characteristic
331	C₂×#121	C₂³	1	2	yes	—
332	C₂×#121	C₂³	1	1	yes	characteristic
333	C₂×#121	C₂³	1	2	yes	—
334	C₂×#121	C₂³	1	2	yes	—
335	C₂×#121	C₂³	1	2	yes	—
336	C₂×#121	C₂³	1	2	yes	—
337	C₂×#121	C₂³	1	4	yes	—
338	C₂×#121	C₂³	1	4	yes	—
339	C₂×#120	—	4	8	no	—
340	C₂×#120	C₂³	1	2	yes	—
341	C₂×#120	C₂³	1	1	yes	characteristic
342	C₂×#120	C₂³	1	1	yes	characteristic
343	C₂×#120	C₂³	1	2	yes	—
344	C₂×#120	C₂³	1	2	yes	—
345	C₂×#120	C₂³	1	4	yes	—
346	C₂×#120	C₂³	1	4	yes	—
347	C₂×#120	C₂³	1	4	yes	—
348	C₂×#120	C₂³	1	4	yes	—
349	C₂×#120	C₂³	1	4	yes	—
350	C₂×#120	C₂³	1	4	yes	—
351	C₂×#120	C₂³	1	2	yes	—
352	C₂×#120	C₂³	1	4	yes	—
353	C₂×#120	C₂³	1	4	yes	—
354	C₂×#120	C₂³	1	2	yes	—
355	C₂×#120	C₂³	1	4	yes	—
356	C₂×#120	C₂³	1	2	yes	—
357	C₂×#120	C₂³	1	4	yes	—
358	C₂×#120	C₂³	1	2	yes	—
359	C₂×#120	C₂³	1	2	yes	—
360	C₂×#120	C₂³	1	4	yes	—
361	C₂×#120	C₂³	1	4	yes	complemented
362	C₂×#120	C₂³	1	2	yes	complemented
363	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
364	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
365	C₂×C₄×D₄	C₂³	1	2	yes	—
366	C₂×C₄×D₄	C₂³	1	2	yes	—
367	C₂×C₄×D₄	C₂³	1	2	yes	—
368	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
369	C₂×C₄×D₄	C₂³	1	2	yes	—
370	C₂×C₄×D₄	C₂³	1	2	yes	—
371	C₂×C₄×D₄	C₂³	1	2	yes	—
372	C₂×C₄×D₄	C₂³	1	2	yes	—
373	C₂×C₄×D₄	C₂³	1	2	yes	—
374	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
375	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
376	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
377	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
378	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
379	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
380	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
381	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
382	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
383	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
384	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
385	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
386	C₂²×C₄²	C₂³	1	2	yes	complemented
387	#400	C₂³	1	4	yes	complemented
388	#400	C₂³	1	4	yes	complemented
389	#400	C₂³	1	4	yes	complemented
390	#400	C₂³	1	2	yes	complemented
391	#400	C₂³	1	2	yes	complemented
392	#400	C₂³	1	4	yes	complemented
393	#400	C₂³	1	4	yes	complemented
394	#400	C₂³	1	4	yes	complemented
395	#400	C₂³	1	4	yes	complemented
396	#400	C₂³	1	4	yes	complemented
397	#400	C₂³	1	2	yes	complemented
398	#400	C₂³	1	2	yes	complemented
399	#400	C₂³	1	2	yes	complemented
400	#400	C₂³	1	2	yes	complemented
401	#397	C₂³	1	2	yes	—
402	#397	C₂³	1	4	yes	—
403	#397	C₂³	1	4	yes	—
404	#397	C₂³	1	4	yes	—
405	#397	C₂³	1	2	yes	—
406	#397	C₂³	1	2	yes	—
407	#397	C₂³	1	4	yes	—
408	#397	C₂³	1	2	yes	—
409	#397	C₂³	1	4	yes	complemented
410	#397	C₂³	1	4	yes	complemented
411	#397	C₂³	1	4	yes	complemented
412	#397	C₂³	1	4	yes	complemented
413	#397	C₂³	1	4	yes	complemented
414	#397	C₂³	1	4	yes	complemented
415	#397	C₂³	1	4	yes	complemented
416	#397	C₂³	1	4	yes	complemented
417	#397	C₂³	1	4	yes	complemented
418	#397	C₂³	1	2	yes	complemented
419	#397	C₂³	1	2	yes	complemented
420	#397	C₂³	1	4	yes	complemented
421	#397	C₂³	1	4	yes	complemented
422	#397	C₂³	1	4	yes	complemented
423	#397	C₂³	1	4	yes	complemented
424	#397	C₂³	1	2	yes	complemented
425	#397	C₂³	1	2	yes	complemented
426	#395	C₂³	1	4	yes	complemented
427	#395	C₂³	1	2	yes	complemented
428	#394	C₂³	1	4	yes	—
429	#394	C₂³	1	4	yes	—
430	#394	C₂³	1	4	yes	—
431	#394	C₂³	1	4	yes	—
432	#394	C₂³	1	4	yes	—
433	#394	C₂³	1	4	yes	—
434	#394	C₂³	1	4	yes	—
435	#394	C₂³	1	4	yes	—
436	#394	C₂³	1	4	yes	—
437	#394	C₂³	1	4	yes	—
438	#394	C₂³	1	4	yes	—
439	#394	C₂³	1	4	yes	—
440	#394	C₂³	1	4	yes	—
441	#394	C₂³	1	2	yes	—
442	#394	C₂³	1	2	yes	—
443	#394	C₂³	1	4	yes	—
444	#394	C₂³	1	2	yes	—
445	#394	C₂³	1	2	yes	—
446	#394	C₂³	1	2	yes	—
447	#394	C₂³	1	2	yes	—
448	#394	C₂³	1	2	yes	—
449	#394	C₂³	1	4	yes	—
450	#394	C₂³	1	4	yes	complemented
451	#394	C₂³	1	4	yes	complemented
452	#394	C₂³	1	4	yes	complemented
453	#394	C₂³	1	4	yes	complemented
454	#394	C₂³	1	4	yes	complemented
455	#394	C₂³	1	4	yes	complemented
456	#394	C₂³	1	4	yes	complemented
457	#394	C₂³	1	4	yes	complemented
458	#394	C₂³	1	4	yes	complemented
459	#394	C₂³	1	4	yes	complemented
460	#394	C₂³	1	4	yes	complemented
461	#394	C₂³	1	4	yes	complemented
462	#394	C₂³	1	4	yes	complemented
463	#394	C₂³	1	4	yes	complemented
464	#394	C₂³	1	4	yes	complemented
465	#394	C₂³	1	4	yes	complemented
466	#394	C₂³	1	4	yes	complemented
467	#394	C₂³	1	4	yes	complemented
468	#394	C₂³	1	4	yes	complemented
469	#393	C₂³	1	2	yes	—
470	#393	C₂³	1	4	yes	—
471	#393	C₂³	1	4	yes	—
472	#393	C₂³	1	4	yes	—
473	#393	C₂³	1	2	yes	—
474	#393	C₂³	1	2	yes	—
475	#393	C₂³	1	4	yes	—
476	#393	C₂³	1	2	yes	—
477	#393	C₂³	1	4	yes	—
478	#393	C₂³	1	4	yes	complemented
479	#393	C₂³	1	4	yes	complemented
480	#393	C₂³	1	4	yes	complemented
481	#393	C₂³	1	4	yes	complemented
482	#393	C₂³	1	2	yes	complemented
483	#393	C₂³	1	2	yes	complemented
484	#393	C₂³	1	4	yes	complemented
485	#393	C₂³	1	4	yes	complemented
486	#393	C₂³	1	4	yes	complemented
487	#393	C₂³	1	4	yes	complemented
488	#393	C₂³	1	4	yes	complemented
489	#393	C₂³	1	4	yes	complemented
490	#393	C₂³	1	4	yes	complemented
491	#393	C₂³	1	2	yes	complemented
492	#393	C₂³	1	4	yes	complemented
493	#393	C₂³	1	4	yes	complemented
494	#393	C₂³	1	4	yes	complemented
495	#393	C₂³	1	4	yes	complemented
496	#393	C₂³	1	4	yes	complemented
497	#393	C₂³	1	4	yes	complemented
498	#393	C₂³	1	4	yes	complemented
499	#392	C₂³	1	4	yes	—
500	#392	C₂³	1	4	yes	—
501	#392	C₂³	1	4	yes	—
502	#392	C₂³	1	4	yes	—
503	#392	C₂³	1	4	yes	—
504	#392	C₂³	1	4	yes	—
505	#392	C₂³	1	4	yes	—
506	#392	C₂³	1	4	yes	—
507	#392	C₂³	1	2	yes	—
508	#392	C₂³	1	4	yes	—
509	#392	C₂³	1	4	yes	—
510	#392	C₂³	1	4	yes	complemented
511	#392	C₂³	1	4	yes	complemented
512	#392	C₂³	1	4	yes	complemented
513	#392	C₂³	1	4	yes	complemented
514	#392	C₂³	1	4	yes	complemented
515	#392	C₂³	1	4	yes	complemented
516	#391	C₂³	1	1	yes	characteristic, complemented
517	#391	C₂³	1	4	yes	complemented
518	#391	C₂³	1	4	yes	complemented
519	#391	C₂³	1	2	yes	complemented
520	#391	C₂³	1	2	yes	complemented
521	#391	C₂³	1	2	yes	complemented
522	#391	C₂³	1	2	yes	complemented
523	#391	C₂³	1	2	yes	complemented
524	#391	C₂³	1	2	yes	complemented
525	#391	C₂³	1	2	yes	complemented
526	#391	C₂³	1	4	yes	complemented
527	#391	C₂³	1	4	yes	complemented
528	#391	C₂³	1	2	yes	complemented
529	#390	C₂³	1	4	yes	—
530	#390	C₂³	1	2	yes	—
531	#390	C₂³	1	2	yes	—
532	#390	C₂³	1	2	yes	—
533	#390	C₂³	1	2	yes	—
534	#390	C₂³	1	2	yes	—
535	#390	C₂³	1	2	yes	—
536	#390	C₂³	1	2	yes	—
537	#390	C₂³	1	2	yes	—
538	#390	C₂³	1	2	yes	—
539	#390	C₂³	1	1	yes	characteristic
540	#390	C₂³	1	4	yes	—
541	#390	C₂³	1	2	yes	—
542	#390	C₂³	1	4	yes	complemented
543	#390	C₂³	1	4	yes	complemented
544	#390	C₂³	1	4	yes	complemented
545	#390	C₂³	1	2	yes	complemented
546	#390	C₂³	1	2	yes	complemented
547	#390	C₂³	1	2	yes	complemented
548	#390	C₂³	1	2	yes	complemented
549	#390	C₂³	1	4	yes	complemented
550	#390	C₂³	1	4	yes	complemented
551	#390	C₂³	1	4	yes	complemented
552	#388	C₂³	1	2	yes	—
553	#388	C₂³	1	4	yes	—
554	#388	C₂³	1	4	yes	—
555	#388	C₂³	1	4	yes	—
556	#388	C₂³	1	4	yes	—
557	#388	C₂³	1	4	yes	—
558	#388	C₂³	1	4	yes	—
559	#388	C₂³	1	4	yes	—
560	#388	C₂³	1	2	yes	—
561	#388	C₂³	1	4	yes	—
562	#388	C₂³	1	2	yes	—
563	#388	C₂³	1	4	yes	complemented
564	#388	C₂³	1	4	yes	complemented
565	#388	C₂³	1	4	yes	complemented
566	#388	C₂³	1	4	yes	complemented
567	#388	C₂³	1	4	yes	complemented
568	#388	C₂³	1	4	yes	complemented
569	#388	C₂³	1	4	yes	complemented
570	#388	C₂³	1	4	yes	complemented
571	#388	C₂³	1	2	yes	complemented
572	#388	C₂³	1	4	yes	complemented
573	#388	C₂³	1	4	yes	complemented
574	#388	C₂³	1	4	yes	complemented
575	#388	C₂³	1	4	yes	complemented
576	#388	C₂³	1	4	yes	complemented
577	#388	C₂³	1	4	yes	complemented
578	#388	C₂³	1	4	yes	complemented
579	#388	C₂³	1	4	yes	complemented
580	#388	C₂³	1	4	yes	complemented
581	#388	C₂³	1	4	yes	complemented
582	#388	C₂³	1	4	yes	complemented
583	#388	C₂³	1	4	yes	complemented
584	#388	C₂³	1	4	yes	complemented
585	#388	C₂³	1	2	yes	complemented
586	#388	C₂³	1	4	yes	complemented
587	#388	C₂³	1	4	yes	complemented
588	#388	C₂³	1	4	yes	complemented
589	#388	C₂³	1	2	yes	complemented
590	#386	C₂³	1	2	yes	—
591	#386	C₂³	1	4	yes	—
592	#386	C₂³	1	4	yes	—
593	#386	C₂³	1	4	yes	—
594	#386	C₂³	1	4	yes	—
595	#386	C₂³	1	4	yes	—
596	#386	C₂³	1	2	yes	—
597	#386	C₂³	1	4	yes	—
598	#386	C₂³	1	4	yes	—
599	#386	C₂³	1	4	yes	—
600	#386	C₂³	1	4	yes	—
601	#386	C₂³	1	4	yes	—
602	#386	C₂³	1	2	yes	—
603	#386	C₂³	1	2	yes	—
604	#386	C₂³	1	4	yes	—
605	#386	C₂³	1	1	yes	characteristic
606	#386	C₂³	1	2	yes	—
607	#386	C₂³	1	4	yes	—
608	#386	C₂³	1	2	yes	—
609	#386	C₂³	1	2	yes	—
610	#386	C₂³	1	4	yes	—
611	#386	C₂³	1	4	yes	—
612	#386	C₂³	1	2	yes	—
613	#386	C₂³	1	2	yes	—
614	#386	C₂³	1	2	yes	—
615	#386	C₂³	1	1	yes	characteristic
616	#386	C₂³	1	2	yes	complemented
617	#386	C₂³	1	4	yes	complemented
618	#386	C₂³	1	4	yes	complemented
619	#386	C₂³	1	4	yes	complemented
620	#386	C₂³	1	4	yes	complemented
621	#386	C₂³	1	4	yes	complemented
622	#386	C₂³	1	4	yes	complemented
623	#386	C₂³	1	4	yes	complemented
624	#386	C₂³	1	4	yes	complemented
625	#386	C₂³	1	4	yes	complemented
626	#386	C₂³	1	4	yes	complemented
627	#386	C₂³	1	4	yes	complemented
628	#386	C₂³	1	2	yes	complemented
629	#386	C₂³	1	4	yes	complemented
630	#386	C₂³	1	2	yes	complemented
631	#386	C₂³	1	4	yes	complemented
632	#386	C₂³	1	4	yes	complemented
633	#386	C₂³	1	4	yes	complemented
634	#386	C₂³	1	4	yes	complemented
635	#386	C₂³	1	4	yes	complemented
636	#386	C₂³	1	4	yes	complemented
637	#386	C₂³	1	4	yes	complemented
638	#386	C₂³	1	4	yes	complemented
639	#386	C₂³	1	4	yes	complemented
640	#385	C₂³	1	4	yes	—
641	#385	C₂³	1	1	yes	characteristic
642	#385	C₂³	1	4	yes	—
643	#385	C₂³	1	4	yes	—
644	#385	C₂³	1	2	yes	—
645	#385	C₂³	1	2	yes	—
646	#385	C₂³	1	2	yes	—
647	#385	C₂³	1	2	yes	—
648	#385	C₂³	1	2	yes	complemented
649	#385	C₂³	1	4	yes	complemented
650	#385	C₂³	1	4	yes	complemented
651	#385	C₂³	1	4	yes	complemented
652	#385	C₂³	1	1	yes	characteristic, complemented
653	#385	C₂³	1	2	yes	complemented
654	#385	C₂³	1	4	yes	complemented
655	#385	C₂³	1	2	yes	complemented
656	#385	C₂³	1	2	yes	complemented
657	#385	C₂³	1	2	yes	complemented
658	#382	C₂³	1	4	yes	complemented
659	#382	C₂³	1	4	yes	complemented
660	#382	C₂³	1	4	yes	complemented
661	#382	C₂³	1	1	yes	characteristic, complemented
662	#382	C₂³	1	4	yes	complemented
663	#382	C₂³	1	2	yes	complemented
664	#381	C₂³	1	4	yes	complemented
665	#381	C₂³	1	4	yes	complemented
666	#381	C₂³	1	4	yes	complemented
667	#380	C₂³	1	2	yes	—
668	#380	C₂³	1	2	yes	—
669	#380	C₂³	1	2	yes	—
670	#380	C₂³	1	1	yes	characteristic
671	#380	C₂³	1	2	yes	—
672	#380	C₂³	1	1	yes	characteristic, complemented
673	#380	C₂³	1	2	yes	complemented
674	#380	C₂³	1	2	yes	complemented
675	#380	C₂³	1	2	yes	complemented
676	#380	C₂³	1	2	yes	complemented
677	#379	C₂³	1	2	yes	—
678	#379	C₂³	1	4	yes	—
679	#379	C₂³	1	4	yes	—
680	#379	C₂³	1	4	yes	—
681	#379	C₂³	1	4	yes	—
682	#379	C₂³	1	4	yes	—
683	#379	C₂³	1	4	yes	—
684	#379	C₂³	1	4	yes	—
685	#379	C₂³	1	1	yes	characteristic
686	#379	C₂³	1	4	yes	—
687	#379	C₂³	1	4	yes	—
688	#379	C₂³	1	4	yes	—
689	#379	C₂³	1	2	yes	—
690	#379	C₂³	1	4	yes	—
691	#379	C₂³	1	4	yes	—
692	#379	C₂³	1	4	yes	—
693	#379	C₂³	1	4	yes	—
694	#379	C₂³	1	4	yes	—
695	#379	C₂³	1	2	yes	—
696	#379	C₂³	1	4	yes	complemented
697	#379	C₂³	1	2	yes	complemented
698	#379	C₂³	1	2	yes	complemented
699	#379	C₂³	1	1	yes	characteristic, complemented
700	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
701	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
702	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
703	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
704	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
705	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
706	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
707	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
708	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
709	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
710	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
711	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
712	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
713	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
714	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
715	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
716	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
717	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
718	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
719	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
720	#376	C₂³	1	2	yes	complemented
721	C₂×#95	C₂³	1	4	yes	complemented
722	C₂×#95	C₂³	1	4	yes	complemented
723	C₂×#95	C₂³	1	4	yes	complemented
724	C₂×#95	C₂³	1	4	yes	complemented
725	C₄³	C₂³	1	1	yes	characteristic, complemented
726	C₂⁵	—	4	8	no	—
727	C₂⁵	—	4	4	no	—
728	C₂⁵	—	4	4	no	—
729	C₂⁵	—	4	8	no	—
730	C₂⁵	—	8	2	no	—
731	C₂⁵	C₂⁴	1	2	yes	—
732	C₂⁵	C₂⁴	1	4	yes	—
733	C₂⁵	C₂⁴	1	2	yes	—
734	C₂⁵	C₂⁴	1	1	yes	characteristic
735	C₂⁵	C₂⁴	1	2	yes	—
736	C₂⁵	C₂⁴	1	4	yes	—
737	C₂⁵	C₂⁴	1	1	yes	characteristic
738	C₂×#41	—	2	8	no	—
739	C₂×#41	—	2	8	no	—
740	C₂×#41	—	2	8	no	—
741	C₂×#41	—	4	8	no	—
742	C₂×#41	—	4	8	no	—
743	C₂×#41	—	4	8	no	—
744	C₂×#41	—	4	4	no	—
745	C₂×#41	—	4	4	no	—
746	C₂×#41	—	4	4	no	—
747	C₂×#41	—	4	64	no	—
748	C₂²×Q₈	—	4	4	no	—
749	C₂²×Q₈	—	4	4	no	—
750	C₂²×Q₈	—	4	2	no	—
751	C₂²×Q₈	—	4	4	no	—
752	C₂²×Q₈	—	8	2	no	—
753	C₂²×Q₈	C₂⁴	1	2	yes	—
754	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
755	C₂²×Q₈	C₂⁴	1	2	yes	—
756	C₂²×Q₈	C₂⁴	1	2	yes	—
757	C₂²×Q₈	C₂⁴	1	4	yes	—
758	C₂²×Q₈	C₂⁴	1	4	yes	—
759	C₂²×Q₈	C₂⁴	1	2	yes	—
760	C₂²×D₄	—	2	4	no	—
761	C₂²×D₄	—	2	8	no	—
762	C₂²×D₄	—	2	4	no	—
763	C₂²×D₄	—	2	8	no	—
764	C₂²×D₄	—	2	8	no	—
765	C₂²×D₄	—	2	8	no	—
766	C₂²×D₄	—	2	8	no	—
767	C₂²×D₄	—	2	8	no	—
768	C₂²×D₄	—	4	4	no	—
769	C₂²×D₄	—	4	2	no	—
770	C₂²×D₄	—	4	4	no	—
771	C₂²×D₄	—	4	4	no	—
772	C₂²×D₄	—	4	4	no	—
773	C₂²×D₄	—	4	4	no	—
774	C₂²×D₄	—	4	8	no	—
775	C₂²×D₄	—	4	8	no	—
776	C₂²×D₄	—	4	8	no	—
777	C₂²×D₄	—	4	8	no	—
778	C₂²×D₄	—	4	4	no	—
779	C₂²×D₄	—	4	8	no	—
780	C₂²×D₄	—	4	8	no	—
781	C₂²×D₄	—	4	4	no	—
782	C₂²×D₄	—	4	8	no	—
783	C₂²×D₄	—	4	8	no	—
784	C₂²×D₄	—	4	64	no	—
785	C₂²×D₄	—	8	2	no	—
786	C₂²×D₄	C₂⁴	1	2	yes	—
787	C₂²×D₄	C₂⁴	1	4	yes	—
788	C₂²×D₄	C₂⁴	1	4	yes	—
789	C₂²×D₄	C₂⁴	1	2	yes	—
790	C₂²×D₄	C₂⁴	1	2	yes	—
791	C₂²×D₄	C₂⁴	1	1	yes	characteristic
792	C₂²×D₄	C₂⁴	1	1	yes	characteristic
793	C₂²×D₄	C₂⁴	1	2	yes	—
794	C₂²×D₄	C₂⁴	1	2	yes	—
795	C₂²×D₄	C₂⁴	1	2	yes	—
796	C₂²×D₄	C₂⁴	1	2	yes	—
797	C₂²×D₄	C₂⁴	1	2	yes	—
798	C₂²×D₄	C₂⁴	1	4	yes	—
799	C₂²×D₄	C₂⁴	1	2	yes	—
800	C₂²×D₄	C₂⁴	1	4	yes	—
801	C₂²×D₄	C₂⁴	1	2	yes	—
802	C₂²×D₄	C₂⁴	1	4	yes	—
803	C₂²×D₄	C₂⁴	1	2	yes	—
804	C₂²×D₄	C₂⁴	1	4	yes	—
805	C₂²×D₄	C₂⁴	1	4	yes	—
806	C₂²×D₄	C₂⁴	1	4	yes	—
807	C₂²×D₄	C₂⁴	1	4	yes	—
808	C₂²×D₄	C₂⁴	1	2	yes	—
809	C₂²×D₄	C₂⁴	1	4	yes	—
810	C₂²×D₄	C₂⁴	1	4	yes	—
811	C₂²×D₄	C₂⁴	1	1	yes	characteristic
812	C₂²×D₄	C₂⁴	1	1	yes	characteristic
813	C₂³×C₄	—	4	4	no	—
814	C₂³×C₄	—	4	2	no	—
815	C₂³×C₄	—	4	4	no	—
816	C₂³×C₄	—	4	2	no	—
817	C₂³×C₄	—	4	8	no	—
818	C₂³×C₄	—	4	4	no	—
819	C₂³×C₄	C₂⁴	1	4	yes	—
820	C₂³×C₄	C₂⁴	1	1	yes	characteristic
821	C₂³×C₄	C₂⁴	1	2	yes	—
822	C₂³×C₄	C₂⁴	1	1	yes	characteristic
823	C₂³×C₄	C₂⁴	1	2	yes	—
824	C₂³×C₄	C₂⁴	1	2	yes	—
825	C₂³×C₄	C₂⁴	1	4	yes	—
826	C₂³×C₄	C₂⁴	1	4	yes	—
827	C₂³×C₄	C₂⁴	1	4	yes	—
828	C₂³×C₄	C₂⁴	1	4	yes	—
829	C₂³×C₄	C₂⁴	1	1	yes	characteristic
830	C₂³×C₄	C₂⁴	1	2	yes	—
831	C₂³×C₄	C₂⁴	1	1	yes	characteristic
832	C₂³×C₄	C₂⁴	1	2	yes	—
833	C₂³×C₄	C₂⁴	1	2	yes	—
834	C₂³×C₄	C₂⁴	1	4	yes	—
835	C₄⋊Q₈	—	4	4	no	—
836	C₄⋊Q₈	—	4	2	no	—
837	C₄⋊Q₈	—	4	4	no	—
838	#127	—	4	4	no	—
839	#127	—	4	2	no	—
840	#125	—	4	4	no	—
841	#125	—	4	4	no	—
842	#124	—	2	4	no	—
843	#124	—	2	8	no	—
844	#124	—	4	8	no	—
845	#124	—	4	4	no	—
846	#124	—	4	4	no	—
847	#124	—	4	4	no	—
848	#124	—	4	4	no	—
849	#124	—	4	4	no	—
850	#124	—	4	8	no	—
851	#124	—	4	8	no	—
852	#124	—	4	4	no	—
853	#124	—	4	8	no	—
854	#124	—	4	8	no	—
855	#124	—	4	8	no	—
856	#124	—	4	8	no	—
857	#124	—	8	4	no	—
858	#124	—	8	4	no	—
859	#124	—	8	2	no	—
860	#123	—	4	8	no	—
861	#123	—	4	8	no	—
862	#123	—	4	8	no	—
863	C₂²⋊Q₈	—	4	8	no	—
864	C₂²⋊Q₈	—	4	4	no	—
865	C₂²⋊Q₈	—	4	8	no	—
866	C₂²⋊Q₈	—	4	8	no	—
867	C₂²⋊Q₈	—	4	8	no	—
868	C₂²⋊Q₈	—	4	4	no	—
869	C₂²⋊Q₈	—	4	4	no	—
870	C₂²⋊Q₈	—	4	4	no	—
871	#121	—	4	4	no	—
872	#121	—	4	4	no	—
873	#121	—	4	2	no	—
874	#121	—	4	2	no	—
875	#121	—	4	4	no	—
876	#121	—	4	4	no	—
877	#121	—	4	4	no	—
878	#121	—	4	4	no	—
879	#121	—	4	8	no	—
880	#121	—	4	8	no	—
881	#121	—	4	8	no	—
882	#121	—	4	8	no	—
883	#120	—	2	4	no	—
884	#120	—	2	8	no	—
885	#120	—	2	4	no	—
886	#120	—	4	8	no	—
887	#120	—	4	4	no	—
888	#120	—	4	4	no	—
889	#120	—	4	8	no	—
890	#120	—	4	8	no	—
891	#120	—	4	4	no	—
892	#120	—	4	4	no	—
893	#120	—	4	8	no	—
894	#120	—	4	4	no	—
895	#120	—	4	8	no	—
896	#120	—	4	8	no	—
897	#120	—	4	8	no	—
898	#120	—	4	8	no	—
899	#120	—	4	8	no	—
900	#120	—	4	8	no	—
901	#120	—	4	8	no	—
902	#120	—	4	4	no	—
903	#120	—	8	4	no	—
904	#120	—	8	2	no	—
905	#120	—	8	2	no	—
906	C₄×Q₈	—	4	2	no	—
907	C₄×Q₈	—	4	4	no	—
908	C₄×D₄	—	2	4	no	—
909	C₄×D₄	—	2	8	no	—
910	C₄×D₄	—	2	8	no	—
911	C₄×D₄	—	2	8	no	—
912	C₄×D₄	—	2	8	no	—
913	C₄×D₄	—	4	4	no	—
914	C₄×D₄	—	4	2	no	—
915	C₄×D₄	—	4	4	no	—
916	C₄×D₄	—	4	4	no	—
917	C₄×D₄	—	4	4	no	—
918	C₂×C₄⋊C₄	—	4	8	no	—
919	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
920	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
923	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
924	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
925	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
926	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
927	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
928	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
930	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
931	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
932	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
933	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
935	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
936	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
937	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
938	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
939	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
940	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
941	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
942	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
943	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
944	C₂×C₂²⋊C₄	—	4	8	no	—
945	C₂×C₂²⋊C₄	—	4	8	no	—
946	C₂×C₂²⋊C₄	—	4	4	no	—
947	C₂×C₂²⋊C₄	—	4	8	no	—
948	C₂×C₂²⋊C₄	—	4	8	no	—
949	C₂×C₂²⋊C₄	—	4	8	no	—
950	C₂×C₂²⋊C₄	—	4	8	no	—
951	C₂×C₂²⋊C₄	—	4	8	no	—
952	C₂×C₂²⋊C₄	—	8	4	no	—
953	C₂×C₂²⋊C₄	—	8	2	no	—
954	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
955	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
957	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
958	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
959	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
960	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
961	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
962	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
963	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
964	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
965	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
966	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
967	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
968	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
969	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
970	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
971	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
973	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
974	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
977	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
979	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
980	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
981	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
982	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
983	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
984	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
985	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
986	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
987	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
988	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
989	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
990	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
991	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
992	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
993	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
994	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
995	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
996	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
999	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1004	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1006	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1007	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1010	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1012	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1013	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1019	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1020	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1023	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1024	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1025	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1026	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1034	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1037	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1038	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1039	C₂×C₄²	—	4	4	no	—
1040	C₂×C₄²	C₂⁴	1	2	yes	—
1041	C₂×C₄²	C₂⁴	1	2	yes	—
1042	C₂×C₄²	C₂⁴	1	2	yes	—
1043	C₂×C₄²	C₂⁴	1	2	yes	—
1044	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1045	C₂×C₄²	C₂⁴	1	2	yes	—
1046	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1047	C₂×C₄²	C₂⁴	1	4	yes	—
1048	C₂×C₄²	C₂⁴	1	4	yes	—
1049	C₂×C₄²	C₂⁴	1	2	yes	—
1050	C₂×C₄²	C₂⁴	1	4	yes	—
1051	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1052	C₂×C₄²	C₂⁴	1	4	yes	—
1053	#95	C₂⁴	1	2	yes	—
1054	#95	C₂⁴	1	2	yes	—
1055	#95	C₂⁴	1	2	yes	—
1056	#95	C₂⁴	1	2	yes	—
1057	#95	C₂⁴	1	4	yes	—
1058	#95	C₂⁴	1	4	yes	—
1059	#95	C₂⁴	1	4	yes	—
1060	#95	C₂⁴	1	4	yes	—
1061	#95	C₂⁴	1	4	yes	—
1062	#95	C₂⁴	1	4	yes	—
1063	#95	C₂⁴	1	4	yes	—
1064	#95	C₂⁴	1	4	yes	—
1065	#95	C₂⁴	1	4	yes	—
1066	#95	C₂⁴	1	4	yes	—
1067	#95	C₂⁴	1	4	yes	—
1068	#95	C₂⁴	1	4	yes	—
1069	#95	C₂⁴	1	2	yes	—
1070	#95	C₂⁴	1	2	yes	—
1071	#95	C₂⁴	1	2	yes	—
1072	#95	C₂⁴	1	2	yes	—
1073	#95	C₂⁴	1	2	yes	—
1074	#95	C₂⁴	1	2	yes	—
1075	#95	C₂⁴	1	2	yes	—
1076	#95	C₂⁴	1	2	yes	—
1077	#95	C₂⁴	1	2	yes	—
1078	#95	C₂⁴	1	2	yes	—
1079	#95	C₂⁴	1	2	yes	—
1080	#95	C₂⁴	1	2	yes	—
1081	#95	C₂⁴	1	4	yes	—
1082	#95	C₂⁴	1	2	yes	—
1083	#95	C₂⁴	1	2	yes	—
1084	#95	C₂⁴	1	2	yes	—
1085	#95	C₂⁴	1	2	yes	—
1086	#95	C₂⁴	1	2	yes	—
1087	#95	C₂⁴	1	2	yes	—
1088	#95	C₂⁴	1	2	yes	—
1089	#95	C₂⁴	1	2	yes	—
1090	#95	C₂⁴	1	4	yes	—
1091	#95	C₂⁴	1	4	yes	—
1092	#95	C₂⁴	1	4	yes	—
1093	#95	C₂⁴	1	4	yes	—
1094	#95	C₂⁴	1	2	yes	—
1095	#95	C₂⁴	1	4	yes	—
1096	#95	C₂⁴	1	4	yes	—
1097	#95	C₂⁴	1	4	yes	—
1098	#95	C₂⁴	1	4	yes	—
1099	#95	C₂⁴	1	4	yes	—
1100	#95	C₂⁴	1	4	yes	—
1101	#95	C₂⁴	1	4	yes	—
1102	C₂⁴	—	2	4	no	—
1103	C₂⁴	—	2	4	no	—
1104	C₂⁴	—	2	2	no	—
1105	C₂⁴	—	2	8	no	—
1106	C₂⁴	—	2	4	no	—
1107	C₂⁴	—	2	8	no	—
1108	C₂⁴	—	2	8	no	—
1109	C₂⁴	—	2	8	no	—
1110	C₂⁴	—	2	8	no	—
1111	C₂⁴	—	2	4	no	—
1112	C₂⁴	—	2	8	no	—
1113	C₂⁴	—	2	4	no	—
1114	C₂⁴	—	2	2	no	—
1115	C₂⁴	—	2	4	no	—
1116	C₂⁴	—	2	8	no	—
1117	C₂⁴	—	4	2	no	—
1118	C₂⁴	—	4	1	no	—
1119	C₂⁴	—	4	1	no	—
1120	C₂⁴	—	4	4	no	—
1121	C₂⁴	—	4	2	no	—
1122	C₂⁴	—	4	4	no	—
1123	C₂⁴	—	4	2	no	—
1124	C₂⁴	—	4	1	no	—
1125	C₂⁴	—	4	4	no	—
1126	C₂⁴	—	4	4	no	—
1127	C₂⁴	—	4	4	no	—
1128	C₂⁴	—	4	4	no	—
1129	C₂⁴	—	4	2	no	—
1130	C₂⁴	—	4	4	no	—
1131	C₂⁴	—	4	2	no	—
1132	C₂⁴	—	4	4	no	—
1133	C₂⁴	—	4	4	no	—
1134	C₂⁴	—	4	4	no	—
1135	C₂⁴	—	4	2	no	—
1136	C₂⁴	—	4	1	no	—
1137	C₂⁴	—	4	4	no	—
1138	C₂⁴	—	4	2	no	—
1139	C₂⁴	—	4	4	no	—
1140	C₂⁴	—	4	4	no	—
1141	C₂⁴	—	4	32	no	—
1142	C₂⁴	—	8	32	no	—
1143	C₂⁴	—	8	16	no	—
1144	C₂⁴	—	8	16	no	—
1145	C₂⁴	—	8	32	no	—
1146	C₂⁴	C₂⁵	1	4	yes	—
1147	C₂⁴	C₂⁵	1	2	yes	—
1148	C₂⁴	C₂⁵	1	2	yes	—
1149	C₂⁴	C₂⁵	1	2	yes	—
1150	C₂⁴	C₂⁵	1	1	yes	characteristic
1151	C₂⁴	C₂⁵	1	1	yes	characteristic
1152	C₂⁴	C₂⁵	1	2	yes	—
1153	C₂⁴	C₂⁵	1	2	yes	—
1154	#41	—	4	64	no	—
1155	#41	—	4	32	no	—
1156	#41	—	4	32	no	—
1157	C₂×Q₈	—	2	4	no	—
1158	C₂×Q₈	—	2	4	no	—
1159	C₂×Q₈	—	2	4	no	—
1160	C₂×Q₈	—	2	2	no	—
1161	C₂×Q₈	—	2	4	no	—
1162	C₂×Q₈	—	4	1	no	—
1163	C₂×Q₈	—	4	4	no	—
1164	C₂×Q₈	—	4	2	no	—
1165	C₂×Q₈	—	4	1	no	—
1166	C₂×Q₈	—	4	2	no	—
1167	C₂×Q₈	—	4	2	no	—
1168	C₂×Q₈	—	4	4	no	—
1169	C₂×Q₈	—	4	4	no	—
1170	C₂×Q₈	—	4	2	no	—
1171	C₂×Q₈	—	4	2	no	—
1172	C₂×Q₈	—	4	2	no	—
1173	C₂×Q₈	—	4	4	no	—
1174	C₂×Q₈	—	4	4	no	—
1175	C₂×Q₈	—	4	4	no	—
1176	C₂×Q₈	—	4	4	no	—
1177	C₂×Q₈	—	4	16	no	—
1178	C₂×Q₈	—	8	16	no	—
1179	C₂×D₄	—	2	4	no	—
1180	C₂×D₄	—	2	8	no	—
1181	C₂×D₄	—	2	4	no	—
1182	C₂×D₄	—	2	8	no	—
1183	C₂×D₄	—	2	4	no	—
1184	C₂×D₄	—	2	8	no	—
1185	C₂×D₄	—	2	8	no	—
1186	C₂×D₄	—	2	8	no	—
1187	C₂×D₄	—	2	8	no	—
1188	C₂×D₄	—	2	8	no	—
1189	C₂×D₄	—	2	8	no	—
1190	C₂×D₄	—	2	4	no	—
1191	C₂×D₄	—	2	4	no	—
1192	C₂×D₄	—	2	8	no	—
1193	C₂×D₄	—	2	4	no	—
1194	C₂×D₄	—	2	4	no	—
1195	C₂×D₄	—	2	4	no	—
1196	C₂×D₄	—	2	4	no	—
1197	C₂×D₄	—	2	8	no	—
1198	C₂×D₄	—	2	4	no	—
1199	C₂×D₄	—	2	4	no	—
1200	C₂×D₄	—	2	4	no	—
1201	C₂×D₄	—	2	4	no	—
1202	C₂×D₄	—	2	2	no	—
1203	C₂×D₄	—	2	4	no	—
1204	C₂×D₄	—	2	2	no	—
1205	C₂×D₄	—	2	4	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	2	no	—
1208	C₂×D₄	—	4	4	no	—
1209	C₂×D₄	—	4	2	no	—
1210	C₂×D₄	—	4	4	no	—
1211	C₂×D₄	—	4	4	no	—
1212	C₂×D₄	—	4	4	no	—
1213	C₂×D₄	—	4	4	no	—
1214	C₂×D₄	—	4	4	no	—
1215	C₂×D₄	—	4	4	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	2	no	—
1218	C₂×D₄	—	4	2	no	—
1219	C₂×D₄	—	4	2	no	—
1220	C₂×D₄	—	4	4	no	—
1221	C₂×D₄	—	4	4	no	—
1222	C₂×D₄	—	4	4	no	—
1223	C₂×D₄	—	4	4	no	—
1224	C₂×D₄	—	4	2	no	—
1225	C₂×D₄	—	4	2	no	—
1226	C₂×D₄	—	4	2	no	—
1227	C₂×D₄	—	4	2	no	—
1228	C₂×D₄	—	4	2	no	—
1229	C₂×D₄	—	4	2	no	—
1230	C₂×D₄	—	4	2	no	—
1231	C₂×D₄	—	4	2	no	—
1232	C₂×D₄	—	4	4	no	—
1233	C₂×D₄	—	4	2	no	—
1234	C₂×D₄	—	4	4	no	—
1235	C₂×D₄	—	4	4	no	—
1236	C₂×D₄	—	4	4	no	—
1237	C₂×D₄	—	4	4	no	—
1238	C₂×D₄	—	4	2	no	—
1239	C₂×D₄	—	4	4	no	—
1240	C₂×D₄	—	4	4	no	—
1241	C₂×D₄	—	4	4	no	—
1242	C₂×D₄	—	4	4	no	—
1243	C₂×D₄	—	4	4	no	—
1244	C₂×D₄	—	4	4	no	—
1245	C₂×D₄	—	4	4	no	—
1246	C₂×D₄	—	4	4	no	—
1247	C₂×D₄	—	4	4	no	—
1248	C₂×D₄	—	4	4	no	—
1249	C₂×D₄	—	4	4	no	—
1250	C₂×D₄	—	4	32	no	—
1251	C₂×D₄	—	4	64	no	—
1252	C₂×D₄	—	4	32	no	—
1253	C₂×D₄	—	4	16	no	—
1254	C₂×D₄	—	4	32	no	—
1255	C₂×D₄	—	4	16	no	—
1256	C₂×D₄	—	4	32	no	—
1257	C₂×D₄	—	4	16	no	—
1258	C₂×D₄	—	8	16	no	—
1259	C₂×D₄	—	8	32	no	—
1260	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1261	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1262	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1263	C₂²×C₄	—	2	8	no	—
1264	C₂²×C₄	—	2	8	no	—
1265	C₂²×C₄	—	2	8	no	—
1266	C₂²×C₄	—	2	4	no	—
1267	C₂²×C₄	—	2	8	no	—
1268	C₂²×C₄	—	2	8	no	—
1269	C₂²×C₄	—	2	8	no	—
1270	C₂²×C₄	—	2	8	no	—
1271	C₂²×C₄	—	2	4	no	—
1272	C₂²×C₄	—	2	4	no	—
1273	C₂²×C₄	—	2	2	no	—
1274	C₂²×C₄	—	2	4	no	—
1275	C₂²×C₄	—	2	2	no	—
1276	C₂²×C₄	—	2	4	no	—
1277	C₂²×C₄	—	2	4	no	—
1278	C₂²×C₄	—	2	4	no	—
1279	C₂²×C₄	—	2	4	no	—
1280	C₂²×C₄	—	2	4	no	—
1281	C₂²×C₄	—	2	4	no	—
1282	C₂²×C₄	—	4	2	no	—
1283	C₂²×C₄	—	4	1	no	—
1284	C₂²×C₄	—	4	2	no	—
1285	C₂²×C₄	—	4	2	no	—
1286	C₂²×C₄	—	4	2	no	—
1287	C₂²×C₄	—	4	2	no	—
1288	C₂²×C₄	—	4	1	no	—
1289	C₂²×C₄	—	4	4	no	—
1290	C₂²×C₄	—	4	2	no	—
1291	C₂²×C₄	—	4	2	no	—
1292	C₂²×C₄	—	4	2	no	—
1293	C₂²×C₄	—	4	2	no	—
1294	C₂²×C₄	—	4	4	no	—
1295	C₂²×C₄	—	4	4	no	—
1296	C₂²×C₄	—	4	4	no	—
1297	C₂²×C₄	—	4	2	no	—
1298	C₂²×C₄	—	4	4	no	—
1299	C₂²×C₄	—	4	4	no	—
1300	C₂²×C₄	—	4	4	no	—
1301	C₂²×C₄	—	4	4	no	—
1302	C₂²×C₄	—	4	4	no	—
1303	C₂²×C₄	—	4	4	no	—
1304	C₂²×C₄	—	4	4	no	—
1305	C₂²×C₄	—	4	4	no	—
1306	C₂²×C₄	—	4	16	no	—
1307	C₂²×C₄	—	4	32	no	—
1308	C₂²×C₄	—	4	16	no	—
1309	C₂²×C₄	C₂⁵	1	2	yes	—
1310	C₂²×C₄	C₂⁵	1	2	yes	—
1311	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁵	1	4	yes	—
1313	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁵	1	2	yes	—
1315	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁵	1	2	yes	—
1317	C₂²×C₄	C₂⁵	1	4	yes	—
1318	C₂²×C₄	C₂⁵	1	2	yes	—
1319	C₂²×C₄	C₂⁵	1	2	yes	—
1320	C₂²×C₄	C₂⁵	1	2	yes	—
1321	C₂²×C₄	C₂⁵	1	2	yes	—
1322	C₂²×C₄	C₂⁵	1	2	yes	—
1323	C₂²×C₄	C₂⁵	1	2	yes	—
1324	C₂²×C₄	C₂⁵	1	4	yes	—
1325	C₂²×C₄	C₂⁵	1	4	yes	—
1326	C₂²×C₄	C₂⁵	1	4	yes	—
1327	C₂²×C₄	C₂⁵	1	2	yes	—
1328	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1330	C₄⋊C₄	—	2	4	no	—
1331	C₄⋊C₄	—	2	2	no	—
1332	C₄⋊C₄	—	2	4	no	—
1333	C₄⋊C₄	—	2	4	no	—
1334	C₄⋊C₄	—	2	4	no	—
1335	C₄⋊C₄	—	4	2	no	—
1336	C₄⋊C₄	—	4	4	no	—
1337	C₄⋊C₄	—	4	4	no	—
1338	C₄⋊C₄	—	4	4	no	—
1339	C₄⋊C₄	—	4	1	no	—
1340	C₄⋊C₄	—	4	2	no	—
1341	C₄⋊C₄	—	4	2	no	—
1342	C₄⋊C₄	—	4	2	no	—
1343	C₄⋊C₄	—	4	2	no	—
1344	C₄⋊C₄	—	4	1	no	—
1345	C₄⋊C₄	—	4	2	no	—
1346	C₄⋊C₄	—	4	2	no	—
1347	C₄⋊C₄	—	4	2	no	—
1348	C₄⋊C₄	—	4	4	no	—
1349	C₄⋊C₄	—	4	4	no	—
1350	C₄⋊C₄	—	4	4	no	—
1351	C₄⋊C₄	—	4	4	no	—
1352	C₄⋊C₄	—	4	4	no	—
1353	C₄⋊C₄	—	4	4	no	—
1354	C₄⋊C₄	—	4	2	no	—
1355	C₂²⋊C₄	—	2	2	no	—
1356	C₂²⋊C₄	—	2	4	no	—
1357	C₂²⋊C₄	—	2	4	no	—
1358	C₂²⋊C₄	—	2	4	no	—
1359	C₂²⋊C₄	—	2	8	no	—
1360	C₂²⋊C₄	—	2	8	no	—
1361	C₂²⋊C₄	—	2	4	no	—
1362	C₂²⋊C₄	—	2	8	no	—
1363	C₂²⋊C₄	—	2	8	no	—
1364	C₂²⋊C₄	—	2	8	no	—
1365	C₂²⋊C₄	—	2	8	no	—
1366	C₂²⋊C₄	—	2	2	no	—
1367	C₂²⋊C₄	—	2	4	no	—
1368	C₂²⋊C₄	—	2	8	no	—
1369	C₂²⋊C₄	—	2	4	no	—
1370	C₂²⋊C₄	—	2	4	no	—
1371	C₂²⋊C₄	—	2	4	no	—
1372	C₂²⋊C₄	—	2	8	no	—
1373	C₂²⋊C₄	—	2	4	no	—
1374	C₂²⋊C₄	—	4	2	no	—
1375	C₂²⋊C₄	—	4	2	no	—
1376	C₂²⋊C₄	—	4	2	no	—
1377	C₂²⋊C₄	—	4	4	no	—
1378	C₂²⋊C₄	—	4	4	no	—
1379	C₂²⋊C₄	—	4	4	no	—
1380	C₂²⋊C₄	—	4	4	no	—
1381	C₂²⋊C₄	—	4	4	no	—
1382	C₂²⋊C₄	—	4	4	no	—
1383	C₂²⋊C₄	—	4	4	no	—
1384	C₂²⋊C₄	—	4	4	no	—
1385	C₂²⋊C₄	—	4	4	no	—
1386	C₂²⋊C₄	—	4	4	no	—
1387	C₂²⋊C₄	—	4	4	no	—
1388	C₂²⋊C₄	—	4	4	no	—
1389	C₂²⋊C₄	—	4	4	no	—
1390	C₂²⋊C₄	—	4	4	no	—
1391	C₂²⋊C₄	—	4	4	no	—
1392	C₂²⋊C₄	—	4	4	no	—
1393	C₂²⋊C₄	—	4	4	no	—
1394	C₂²⋊C₄	—	4	4	no	—
1395	C₂²⋊C₄	—	4	1	no	—
1396	C₂²⋊C₄	—	4	2	no	—
1397	C₂²⋊C₄	—	4	2	no	—
1398	C₂²⋊C₄	—	4	4	no	—
1399	C₂²⋊C₄	—	4	4	no	—
1400	C₂²⋊C₄	—	4	4	no	—
1401	C₂²⋊C₄	—	4	4	no	—
1402	C₂²⋊C₄	—	4	1	no	—
1403	C₂²⋊C₄	—	4	1	no	—
1404	C₂²⋊C₄	—	4	2	no	—
1405	C₂²⋊C₄	—	4	2	no	—
1406	C₂²⋊C₄	—	4	2	no	—
1407	C₂²⋊C₄	—	4	2	no	—
1408	C₂²⋊C₄	—	4	2	no	—
1409	C₂²⋊C₄	—	4	2	no	—
1410	C₂²⋊C₄	—	4	4	no	—
1411	C₂²⋊C₄	—	4	4	no	—
1412	C₂²⋊C₄	—	4	2	no	—
1413	C₂²⋊C₄	—	4	2	no	—
1414	C₂²⋊C₄	—	4	2	no	—
1415	C₂²⋊C₄	—	4	4	no	—
1416	C₂²⋊C₄	—	4	4	no	—
1417	C₂²⋊C₄	—	4	2	no	—
1418	C₂²⋊C₄	—	4	4	no	—
1419	C₂²⋊C₄	—	4	4	no	—
1420	C₂²⋊C₄	—	4	2	no	—
1421	C₂²⋊C₄	—	4	2	no	—
1422	C₂²⋊C₄	—	4	4	no	—
1423	C₂²⋊C₄	—	4	4	no	—
1424	C₂²⋊C₄	—	4	4	no	—
1425	C₂²⋊C₄	—	4	4	no	—
1426	C₂²⋊C₄	—	4	4	no	—
1427	C₂²⋊C₄	—	4	4	no	—
1428	C₂²⋊C₄	—	4	4	no	—
1429	C₂²⋊C₄	—	4	1	no	—
1430	C₂²⋊C₄	—	4	4	no	—
1431	C₂²⋊C₄	—	4	4	no	—
1432	C₂²⋊C₄	—	4	4	no	—
1433	C₂²⋊C₄	—	4	4	no	—
1434	C₂²⋊C₄	—	4	4	no	—
1435	C₂²⋊C₄	—	4	2	no	—
1436	C₂²⋊C₄	—	4	4	no	—
1437	C₂²⋊C₄	—	4	2	no	—
1438	C₂²⋊C₄	—	4	2	no	—
1439	C₂²⋊C₄	—	4	4	no	—
1440	C₄²	—	2	2	no	—
1441	C₄²	—	2	4	no	—
1442	C₄²	—	2	4	no	—
1443	C₄²	—	2	4	no	—
1444	C₄²	—	2	4	no	—
1445	C₄²	—	2	4	no	—
1446	C₄²	—	2	2	no	—
1447	C₄²	—	4	4	no	—
1448	C₄²	—	4	4	no	—
1449	C₄²	—	4	2	no	—
1450	C₄²	—	4	4	no	—
1451	C₄²	—	4	1	no	—
1452	C₄²	—	4	4	no	—
1453	C₂³	—	2	2	no	—
1454	C₂³	—	2	4	no	—
1455	C₂³	—	2	2	no	—
1456	C₂³	—	2	2	no	—
1457	C₂³	—	2	2	no	—
1458	C₂³	—	2	2	no	—
1459	C₂³	—	2	2	no	—
1460	C₂³	—	2	2	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	2	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	2	no	—
1465	C₂³	—	2	2	no	—
1466	C₂³	—	2	2	no	—
1467	C₂³	—	2	1	no	—
1468	C₂³	—	2	2	no	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	2	no	—
1471	C₂³	—	2	4	no	—
1472	C₂³	—	2	2	no	—
1473	C₂³	—	2	2	no	—
1474	C₂³	—	2	4	no	—
1475	C₂³	—	2	4	no	—
1476	C₂³	—	2	4	no	—
1477	C₂³	—	2	2	no	—
1478	C₂³	—	2	2	no	—
1479	C₂³	—	2	2	no	—
1480	C₂³	—	2	4	no	—
1481	C₂³	—	2	2	no	—
1482	C₂³	—	2	4	no	—
1483	C₂³	—	2	2	no	—
1484	C₂³	—	2	2	no	—
1485	C₂³	—	2	4	no	—
1486	C₂³	—	2	4	no	—
1487	C₂³	—	2	4	no	—
1488	C₂³	—	2	4	no	—
1489	C₂³	—	2	2	no	—
1490	C₂³	—	2	2	no	—
1491	C₂³	—	2	4	no	—
1492	C₂³	—	2	2	no	—
1493	C₂³	—	2	2	no	—
1494	C₂³	—	4	8	no	—
1495	C₂³	—	4	4	no	—
1496	C₂³	—	4	16	no	—
1497	C₂³	—	4	8	no	—
1498	C₂³	—	4	16	no	—
1499	C₂³	—	4	8	no	—
1500	C₂³	—	4	16	no	—
1501	C₂³	—	4	16	no	—
1502	C₂³	—	4	16	no	—
1503	C₂³	—	4	4	no	—
1504	C₂³	—	4	8	no	—
1505	C₂³	—	4	4	no	—
1506	C₂³	—	4	4	no	—
1507	C₂³	—	4	16	no	—
1508	C₂³	—	4	8	no	—
1509	C₂³	—	4	8	no	—
1510	C₂³	—	4	16	no	—
1511	C₂³	—	4	8	no	—
1512	C₂³	—	8	4	no	—
1513	C₂³	—	8	8	no	—
1514	C₂³	—	8	4	no	—
1515	C₂³	—	8	2	no	—
1516	C₂³	—	8	8	no	—
1517	C₂³	—	8	4	no	—
1518	C₂³	—	8	8	no	—
1519	C₂³	—	8	8	no	—
1520	C₂³	—	8	8	no	—
1521	C₂³	—	8	8	no	—
1522	C₂³	—	8	8	no	—
1523	C₂³	—	8	8	no	—
1524	C₂³	—	8	4	no	—
1525	C₂³	—	8	8	no	—
1526	C₂³	—	8	2	no	—
1527	C₂³	—	8	4	no	—
1528	C₂³	—	8	8	no	—
1529	C₂³	—	8	4	no	—
1530	C₂³	—	8	8	no	—
1531	C₂³	—	8	8	no	—
1532	C₂³	—	8	8	no	—
1533	C₂³	—	8	128	no	—
1534	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1535	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1536	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1537	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1538	C₂³	#585	1	4	yes	—
1539	C₂³	C₂⁶	1	1	yes	characteristic
1540	Q₈	—	4	4	no	—
1541	Q₈	—	4	8	no	—
1542	Q₈	—	4	8	no	—
1543	Q₈	—	8	4	no	—
1544	Q₈	—	8	4	no	—
1545	Q₈	—	8	8	no	—
1546	Q₈	—	16	4	no	—
1547	D₄	—	4	4	no	—
1548	D₄	—	4	8	no	—
1549	D₄	—	4	16	no	—
1550	D₄	—	4	8	no	—
1551	D₄	—	4	16	no	—
1552	D₄	—	4	16	no	—
1553	D₄	—	4	8	no	—
1554	D₄	—	4	8	no	—
1555	D₄	—	4	16	no	—
1556	D₄	—	4	8	no	—
1557	D₄	—	4	4	no	—
1558	D₄	—	4	4	no	—
1559	D₄	—	8	4	no	—
1560	D₄	—	8	4	no	—
1561	D₄	—	8	4	no	—
1562	D₄	—	8	4	no	—
1563	D₄	—	8	8	no	—
1564	D₄	—	8	8	no	—
1565	D₄	—	8	4	no	—
1566	D₄	—	8	4	no	—
1567	D₄	—	8	8	no	—
1568	D₄	—	16	4	no	—
1569	D₄	—	16	2	no	—
1570	D₄	—	16	4	no	—
1571	D₄	—	16	4	no	—
1572	D₄	—	16	4	no	—
1573	D₄	H(3,𝔽₄)	1	16	yes	complemented
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	2	no	—
1577	C₂×C₄	—	2	4	no	—
1578	C₂×C₄	—	2	2	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	2	no	—
1581	C₂×C₄	—	2	2	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	2	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	2	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	2	no	—
1589	C₂×C₄	—	2	4	no	—
1590	C₂×C₄	—	2	4	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	4	no	—
1594	C₂×C₄	—	2	4	no	—
1595	C₂×C₄	—	2	4	no	—
1596	C₂×C₄	—	2	4	no	—
1597	C₂×C₄	—	2	2	no	—
1598	C₂×C₄	—	2	2	no	—
1599	C₂×C₄	—	2	2	no	—
1600	C₂×C₄	—	2	2	no	—
1601	C₂×C₄	—	2	2	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	2	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	4	no	—
1606	C₂×C₄	—	2	4	no	—
1607	C₂×C₄	—	2	4	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	2	2	no	—
1610	C₂×C₄	—	2	2	no	—
1611	C₂×C₄	—	2	2	no	—
1612	C₂×C₄	—	2	2	no	—
1613	C₂×C₄	—	2	4	no	—
1614	C₂×C₄	—	2	2	no	—
1615	C₂×C₄	—	2	2	no	—
1616	C₂×C₄	—	2	4	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	4	no	—
1619	C₂×C₄	—	2	2	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	2	no	—
1623	C₂×C₄	—	2	2	no	—
1624	C₂×C₄	—	2	4	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	4	no	—
1627	C₂×C₄	—	2	2	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	2	2	no	—
1630	C₂×C₄	—	4	8	no	—
1631	C₂×C₄	—	4	4	no	—
1632	C₂×C₄	—	4	4	no	—
1633	C₂×C₄	—	4	8	no	—
1634	C₂×C₄	—	4	8	no	—
1635	C₂×C₄	—	4	8	no	—
1636	C₂×C₄	—	4	16	no	—
1637	C₂×C₄	—	4	16	no	—
1638	C₂×C₄	—	4	8	no	—
1639	C₂×C₄	—	4	4	no	—
1640	C₂×C₄	—	4	4	no	—
1641	C₂×C₄	—	4	8	no	—
1642	C₂×C₄	—	8	8	no	—
1643	C₂×C₄	—	8	8	no	—
1644	C₂×C₄	—	8	8	no	—
1645	C₂×C₄	—	8	8	no	—
1646	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1647	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1648	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1649	C₂²	—	2	8	no	—
1650	C₂²	—	2	4	no	—
1651	C₂²	—	2	4	no	—
1652	C₂²	—	2	8	no	—
1653	C₂²	—	2	4	no	—
1654	C₂²	—	2	4	no	—
1655	C₂²	—	2	4	no	—
1656	C₂²	—	2	4	no	—
1657	C₂²	—	2	2	no	—
1658	C₂²	—	2	2	no	—
1659	C₂²	—	2	4	no	—
1660	C₂²	—	4	16	no	—
1661	C₂²	—	4	2	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	2	no	—
1665	C₂²	—	4	2	no	—
1666	C₂²	—	4	2	no	—
1667	C₂²	—	4	2	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	2	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	4	no	—
1672	C₂²	—	4	4	no	—
1673	C₂²	—	4	2	no	—
1674	C₂²	—	4	2	no	—
1675	C₂²	—	4	4	no	—
1676	C₂²	—	4	4	no	—
1677	C₂²	—	4	2	no	—
1678	C₂²	—	4	2	no	—
1679	C₂²	—	4	2	no	—
1680	C₂²	—	4	4	no	—
1681	C₂²	—	4	2	no	—
1682	C₂²	—	4	2	no	—
1683	C₂²	—	4	2	no	—
1684	C₂²	—	4	4	no	—
1685	C₂²	—	4	2	no	—
1686	C₂²	—	4	2	no	—
1687	C₂²	—	4	4	no	—
1688	C₂²	—	4	4	no	—
1689	C₂²	—	4	4	no	—
1690	C₂²	—	4	4	no	—
1691	C₂²	—	4	2	no	—
1692	C₂²	—	4	2	no	—
1693	C₂²	—	4	4	no	—
1694	C₂²	—	4	2	no	—
1695	C₂²	—	8	16	no	—
1696	C₂²	—	8	32	no	—
1697	C₂²	—	8	16	no	—
1698	C₂²	—	8	8	no	—
1699	C₂²	—	8	32	no	—
1700	C₂²	—	8	16	no	—
1701	C₂²	C₂×H(3,𝔽₄)	1	8	yes	—
1702	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1703	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1704	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1705	C₂²	C₂×#585	1	2	yes	—
1706	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1707	C₄	—	2	2	no	—
1708	C₄	—	4	2	no	—
1709	C₄	—	4	2	no	—
1710	C₄	—	4	4	no	—
1711	C₄	—	4	4	no	—
1712	C₄	—	4	2	no	—
1713	C₄	—	4	2	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	4	2	no	—
1716	C₄	—	4	2	no	—
1717	C₄	—	4	4	no	—
1718	C₄	—	4	2	no	—
1719	C₄	—	4	4	no	—
1720	C₄	—	4	2	no	—
1721	C₄	—	4	2	no	—
1722	C₄	—	4	2	no	—
1723	C₄	—	4	2	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	4	no	—
1727	C₄	C₂×H(3,𝔽₄)	1	4	yes	—
1728	C₂	—	2	8	no	—
1729	C₂	—	4	4	no	—
1730	C₂	—	4	2	no	—
1731	C₂	—	4	2	no	—
1732	C₂	—	8	2	no	—
1733	C₂	—	8	2	no	—
1734	C₂	—	8	4	no	—
1735	C₂	—	8	2	no	—
1736	C₂	C₂²×H(3,𝔽₄)	1	1	yes	characteristic
1737	C₂	#62892	1	1	yes	characteristic
1738	C₂	#62896	1	2	yes	—
1739	C₂	#63012	1	2	yes	—
1740	C₂	#63017	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. #53116	C₂	semidirect
2. #53116	C₂	semidirect
3. #52990	C₂	semidirect
4. #52530	C₂	semidirect
5. #52410	C₂	semidirect
6. #52395	C₂	semidirect
7. #52301	C₂	semidirect
8. C₂×#2684	C₂	semidirect
9. #46073	C₂	semidirect
10. #46054	C₂	semidirect
11. #46031	C₂	semidirect
12. #45977	C₂	semidirect
13. #45667	C₂	semidirect
14. #45645	C₂	semidirect
15. #45601	C₂	semidirect
16. #45568	C₂	semidirect
17. #45568	C₂	semidirect
18. #45479	C₂	semidirect
19. #45458	C₂	semidirect
20. #45439	C₂	semidirect
21. #36238	C₂	semidirect
22. #36212	C₂	semidirect
23. #36212	C₂	semidirect
24. #36152	C₂	semidirect
25. D₄×#124	C₂	semidirect
26. D₄×#120	C₂	semidirect
27. #35939	C₂	semidirect
28. #35903	C₂	semidirect
29. #35847	C₂	semidirect
30. C₂³×#41	C₂²	semidirect
31. C₂⁴×D₄	C₂²	semidirect
32. C₂×H(3,𝔽₄)	C₂²	semidirect
33. C₂×#554	C₂²	semidirect
34. C₂×D₄×Q₈	C₂²	semidirect
40. C₂²×#124	C₂²	semidirect
42. #2861	C₂²	semidirect
43. #2858	C₂²	semidirect
44. #2850	C₂²	semidirect
45. #2850	C₂²	semidirect
46. #2849	C₂²	semidirect
47. #2849	C₂²	semidirect
48. #2848	C₂²	semidirect
49. #2847	C₂²	semidirect
50. #2847	C₂²	semidirect
51. #2847	C₂²	semidirect
52. #2846	C₂²	semidirect
53. #2846	C₂²	semidirect
54. #2840	C₂²	semidirect
55. #2835	C₂²	semidirect
56. #2832	C₂²	semidirect
57. #2832	C₂²	semidirect
58. #2832	C₂²	semidirect
59. #2828	C₂²	semidirect
60. #2828	C₂²	semidirect
61. #2828	C₂²	semidirect
62. #2824	C₂²	semidirect
63. #2824	C₂²	semidirect
64. #2824	C₂²	semidirect
65. #2824	C₂²	semidirect
66. #2824	C₂²	semidirect
67. #2819	C₂²	semidirect
68. #2819	C₂²	semidirect
69. #2812	C₂²	semidirect
70. #2812	C₂²	semidirect
71. #2812	C₂²	semidirect
72. #2804	C₂²	semidirect
73. #2804	C₂²	semidirect
74. #2804	C₂²	semidirect
75. #2785	C₂²	semidirect
76. #2782	C₂²	semidirect
77. #2782	C₂²	semidirect
78. #2782	C₂²	semidirect
79. #2782	C₂²	semidirect
80. #2782	C₂²	semidirect
81. #2763	C₂²	semidirect
82. #2753	C₂²	semidirect
83. #2753	C₂²	semidirect
84. #2753	C₂²	semidirect
85. #2753	C₂²	semidirect
86. #2753	C₂²	semidirect
87. #2753	C₂²	semidirect
88. #2753	C₂²	semidirect
89. #2736	C₂²	semidirect
90. #2736	C₂²	semidirect
91. #2736	C₂²	semidirect
92. #2733	C₂²	semidirect
93. #2712	C₂²	semidirect
94. #2712	C₂²	semidirect
95. #2712	C₂²	semidirect
96. #2712	C₂²	semidirect
97. #2712	C₂²	semidirect
100. #2684	C₂²	semidirect
101. #2684	C₂²	semidirect
102. #2684	C₂²	semidirect
103. #2684	C₂²	semidirect
104. #2684	C₂²	semidirect
105. #2684	C₂²	semidirect
106. #2684	C₂²	semidirect
107. #2684	C₂²	semidirect
108. #2684	C₂²	semidirect
109. #2684	C₂²	semidirect
110. #2684	C₂²	semidirect
111. #2684	C₂²	semidirect
112. #2684	C₂²	semidirect
113. #2684	C₂²	semidirect
114. #2684	C₂²	semidirect
115. #2684	C₂²	semidirect
117. #2679	C₂²	semidirect
118. #2670	C₂²	semidirect
119. #2670	C₂²	semidirect
120. #2670	C₂²	semidirect
121. #2670	C₂²	semidirect
122. #2670	C₂²	semidirect
123. #2670	C₂²	semidirect
124. #2641	C₂²	semidirect
125. #2640	C₂²	semidirect
126. #2640	C₂²	semidirect
127. #2639	C₂²	semidirect
128. #2639	C₂²	semidirect
129. #2639	C₂²	semidirect
130. #2592	C₂²	semidirect
131. #2592	C₂²	semidirect
132. #2592	C₂²	semidirect
133. #2591	C₂²	semidirect
134. #2591	C₂²	semidirect
135. #2563	C₂²	semidirect
136. #2562	C₂²	semidirect
137. #2562	C₂²	semidirect
138. #2561	C₂²	semidirect
139. #2561	C₂²	semidirect
140. #2561	C₂²	semidirect
141. #2548	C₂²	semidirect
142. #2548	C₂²	semidirect
143. #2547	C₂²	semidirect
144. #2547	C₂²	semidirect
145. #2504	C₂²	semidirect
146. #2492	C₂²	semidirect
147. #2492	C₂²	semidirect
148. #2492	C₂²	semidirect
149. #2491	C₂²	semidirect
150. #2491	C₂²	semidirect
151. #2491	C₂²	semidirect
152. #2491	C₂²	semidirect
153. #2491	C₂²	semidirect
154. #2491	C₂²	semidirect
155. #2491	C₂²	semidirect
156. #2490	C₂²	semidirect
157. #2490	C₂²	semidirect
158. #2490	C₂²	semidirect
159. #2490	C₂²	semidirect
160. #2490	C₂²	semidirect
161. #2489	C₂²	semidirect
162. #2489	C₂²	semidirect
163. #2489	C₂²	semidirect
164. #2488	C₂²	semidirect
165. #2488	C₂²	semidirect
166. #2488	C₂²	semidirect
167. #2488	C₂²	semidirect
168. #2488	C₂²	semidirect
169. #2488	C₂²	semidirect
170. #2472	C₂²	semidirect
171. #2472	C₂²	semidirect
172. #2472	C₂²	semidirect
173. #2472	C₂²	semidirect
174. #2472	C₂²	semidirect
175. #2472	C₂²	semidirect
176. #2472	C₂²	semidirect
177. #2472	C₂²	semidirect
178. #2472	C₂²	semidirect
179. #2472	C₂²	semidirect
180. #2472	C₂²	semidirect
181. #2472	C₂²	semidirect
182. #2436	C₂²	semidirect
183. #2436	C₂²	semidirect
184. #2436	C₂²	semidirect
185. #2436	C₂²	semidirect
186. #2435	C₂²	semidirect
187. #2435	C₂²	semidirect
188. #2435	C₂²	semidirect
189. #2435	C₂²	semidirect
190. #2435	C₂²	semidirect
191. #2433	C₂²	semidirect
192. #2433	C₂²	semidirect
193. #2431	C₂²	semidirect
194. #2431	C₂²	semidirect
195. #2431	C₂²	semidirect
196. #2430	C₂²	semidirect
197. #2430	C₂²	semidirect
198. #2430	C₂²	semidirect
199. #2410	C₂²	semidirect
200. #2410	C₂²	semidirect
201. #2410	C₂²	semidirect
202. #2410	C₂²	semidirect
203. #2410	C₂²	semidirect
204. #2410	C₂²	semidirect
205. #2410	C₂²	semidirect
206. #2409	C₂²	semidirect
207. #2409	C₂²	semidirect
210. #2408	C₂²	semidirect
211. #2408	C₂²	semidirect
212. #2408	C₂²	semidirect
213. #2407	C₂²	semidirect
214. #2407	C₂²	semidirect
215. #2407	C₂²	semidirect
216. #2405	C₂²	semidirect
217. #2405	C₂²	semidirect
218. #2405	C₂²	semidirect
219. #2404	C₂²	semidirect
220. #2404	C₂²	semidirect
221. #2404	C₂²	semidirect
224. #2403	C₂²	semidirect
225. #2403	C₂²	semidirect
226. #2398	C₂²	semidirect
227. #2398	C₂²	semidirect
228. #2398	C₂²	semidirect
229. C₂×#397	C₂²	semidirect
230. C₂×#394	C₂²	semidirect
231. C₂×#393	C₂²	semidirect
232. #2379	C₂²	semidirect
233. #2379	C₂²	semidirect
234. #2375	C₂²	semidirect
235. #2375	C₂²	semidirect
236. #2375	C₂²	semidirect
237. #2339	C₂²	semidirect
238. #2339	C₂²	semidirect
239. #2339	C₂²	semidirect
240. D₄×C₂²⋊C₄	C₂²	semidirect
241. D₄×C₂²⋊C₄	C₂²	semidirect
242. D₄×C₂²⋊C₄	C₂²	semidirect
243. D₄×C₂²⋊C₄	C₂²	semidirect
244. D₄×C₂²⋊C₄	C₂²	semidirect
245. D₄×C₂²⋊C₄	C₂²	semidirect
246. D₄×C₂²⋊C₄	C₂²	semidirect
247. C₄×#124	C₂²	semidirect
248. C₄×#124	C₂²	semidirect
250. C₄×#120	C₂²	semidirect
251. C₄×#120	C₂²	semidirect
252. C₄×#120	C₂²	semidirect
253. C₂×#388	C₂²	semidirect
254. C₂×#386	C₂²	semidirect
255. C₂×#386	C₂²	semidirect
256. C₂×#379	C₂²	semidirect
257. #2275	C₂²	semidirect
258. C₄²×D₄	C₂²	semidirect
263. C₂²×#41	C₂³	semidirect
264. C₂²×#41	C₂³	semidirect
265. C₂³×Q₈	C₂³	semidirect
266. C₂³×Q₈	C₂³	semidirect
278. C₂³×D₄	C₂³	semidirect
280. C₂⁴×C₄	C₂³	semidirect
281. C₂⁴×C₄	C₂³	semidirect
290. C₂×C₄⋊Q₈	C₂³	semidirect
291. C₂×C₄⋊Q₈	C₂³	semidirect
292. C₂×C₄⋊Q₈	C₂³	semidirect
295. C₂×#125	C₂³	semidirect
296. C₂×#125	C₂³	semidirect
307. C₂×#124	C₂³	semidirect
308. C₂×#124	C₂³	semidirect
309. C₂×#124	C₂³	semidirect
310. C₂×#124	C₂³	semidirect
311. C₂×#124	C₂³	semidirect
312. C₂×#124	C₂³	semidirect
313. C₂×#124	C₂³	semidirect
314. C₂×#124	C₂³	semidirect
315. C₂×#124	C₂³	semidirect
322. C₂×C₂²⋊Q₈	C₂³	semidirect
323. C₂×C₂²⋊Q₈	C₂³	semidirect
324. C₂×C₂²⋊Q₈	C₂³	semidirect
325. C₂×C₂²⋊Q₈	C₂³	semidirect
326. C₂×C₂²⋊Q₈	C₂³	semidirect
361. C₂×#120	C₂³	semidirect
362. C₂×#120	C₂³	semidirect
363. C₂×C₄×Q₈	C₂³	semidirect
364. C₂×C₄×Q₈	C₂³	semidirect
375. C₂²×C₄⋊C₄	C₂³	semidirect
384. C₂²×C₂²⋊C₄	C₂³	semidirect
385. C₂²×C₂²⋊C₄	C₂³	semidirect
386. C₂²×C₄²	C₂³	semidirect
387. #400	C₂³	semidirect
388. #400	C₂³	semidirect
389. #400	C₂³	semidirect
390. #400	C₂³	semidirect
391. #400	C₂³	semidirect
392. #400	C₂³	semidirect
393. #400	C₂³	semidirect
394. #400	C₂³	semidirect
395. #400	C₂³	semidirect
396. #400	C₂³	semidirect
397. #400	C₂³	semidirect
398. #400	C₂³	semidirect
399. #400	C₂³	semidirect
400. #400	C₂³	semidirect
409. #397	C₂³	semidirect
410. #397	C₂³	semidirect
411. #397	C₂³	semidirect
412. #397	C₂³	semidirect
413. #397	C₂³	semidirect
414. #397	C₂³	semidirect
415. #397	C₂³	semidirect
416. #397	C₂³	semidirect
417. #397	C₂³	semidirect
418. #397	C₂³	semidirect
419. #397	C₂³	semidirect
420. #397	C₂³	semidirect
421. #397	C₂³	semidirect
422. #397	C₂³	semidirect
423. #397	C₂³	semidirect
424. #397	C₂³	semidirect
425. #397	C₂³	semidirect
426. #395	C₂³	semidirect
427. #395	C₂³	semidirect
450. #394	C₂³	semidirect
451. #394	C₂³	semidirect
452. #394	C₂³	semidirect
453. #394	C₂³	semidirect
454. #394	C₂³	semidirect
455. #394	C₂³	semidirect
456. #394	C₂³	semidirect
457. #394	C₂³	semidirect
458. #394	C₂³	semidirect
459. #394	C₂³	semidirect
460. #394	C₂³	semidirect
461. #394	C₂³	semidirect
462. #394	C₂³	semidirect
463. #394	C₂³	semidirect
464. #394	C₂³	semidirect
465. #394	C₂³	semidirect
466. #394	C₂³	semidirect
467. #394	C₂³	semidirect
468. #394	C₂³	semidirect
478. #393	C₂³	semidirect
479. #393	C₂³	semidirect
480. #393	C₂³	semidirect
481. #393	C₂³	semidirect
482. #393	C₂³	semidirect
483. #393	C₂³	semidirect
484. #393	C₂³	semidirect
485. #393	C₂³	semidirect
486. #393	C₂³	semidirect
487. #393	C₂³	semidirect
488. #393	C₂³	semidirect
489. #393	C₂³	semidirect
490. #393	C₂³	semidirect
491. #393	C₂³	semidirect
492. #393	C₂³	semidirect
493. #393	C₂³	semidirect
494. #393	C₂³	semidirect
495. #393	C₂³	semidirect
496. #393	C₂³	semidirect
497. #393	C₂³	semidirect
498. #393	C₂³	semidirect
510. #392	C₂³	semidirect
511. #392	C₂³	semidirect
512. #392	C₂³	semidirect
513. #392	C₂³	semidirect
514. #392	C₂³	semidirect
515. #392	C₂³	semidirect
516. #391	C₂³	semidirect
517. #391	C₂³	semidirect
518. #391	C₂³	semidirect
519. #391	C₂³	semidirect
520. #391	C₂³	semidirect
521. #391	C₂³	semidirect
522. #391	C₂³	semidirect
523. #391	C₂³	semidirect
524. #391	C₂³	semidirect
525. #391	C₂³	semidirect
526. #391	C₂³	semidirect
527. #391	C₂³	semidirect
528. #391	C₂³	semidirect
542. #390	C₂³	semidirect
543. #390	C₂³	semidirect
544. #390	C₂³	semidirect
545. #390	C₂³	semidirect
546. #390	C₂³	semidirect
547. #390	C₂³	semidirect
548. #390	C₂³	semidirect
549. #390	C₂³	semidirect
550. #390	C₂³	semidirect
551. #390	C₂³	semidirect
563. #388	C₂³	semidirect
564. #388	C₂³	semidirect
565. #388	C₂³	semidirect
566. #388	C₂³	semidirect
567. #388	C₂³	semidirect
568. #388	C₂³	semidirect
569. #388	C₂³	semidirect
570. #388	C₂³	semidirect
571. #388	C₂³	semidirect
572. #388	C₂³	semidirect
573. #388	C₂³	semidirect
574. #388	C₂³	semidirect
575. #388	C₂³	semidirect
576. #388	C₂³	semidirect
577. #388	C₂³	semidirect
578. #388	C₂³	semidirect
579. #388	C₂³	semidirect
580. #388	C₂³	semidirect
581. #388	C₂³	semidirect
582. #388	C₂³	semidirect
583. #388	C₂³	semidirect
584. #388	C₂³	semidirect
585. #388	C₂³	semidirect
586. #388	C₂³	semidirect
587. #388	C₂³	semidirect
588. #388	C₂³	semidirect
589. #388	C₂³	semidirect
616. #386	C₂³	semidirect
617. #386	C₂³	semidirect
618. #386	C₂³	semidirect
619. #386	C₂³	semidirect
620. #386	C₂³	semidirect
621. #386	C₂³	semidirect
622. #386	C₂³	semidirect
623. #386	C₂³	semidirect
624. #386	C₂³	semidirect
625. #386	C₂³	semidirect
626. #386	C₂³	semidirect
627. #386	C₂³	semidirect
628. #386	C₂³	semidirect
629. #386	C₂³	semidirect
630. #386	C₂³	semidirect
631. #386	C₂³	semidirect
632. #386	C₂³	semidirect
633. #386	C₂³	semidirect
634. #386	C₂³	semidirect
635. #386	C₂³	semidirect
636. #386	C₂³	semidirect
637. #386	C₂³	semidirect
638. #386	C₂³	semidirect
639. #386	C₂³	semidirect
648. #385	C₂³	semidirect
649. #385	C₂³	semidirect
650. #385	C₂³	semidirect
651. #385	C₂³	semidirect
652. #385	C₂³	semidirect
653. #385	C₂³	semidirect
654. #385	C₂³	semidirect
655. #385	C₂³	semidirect
656. #385	C₂³	semidirect
657. #385	C₂³	semidirect
658. #382	C₂³	semidirect
659. #382	C₂³	semidirect
660. #382	C₂³	semidirect
661. #382	C₂³	semidirect
662. #382	C₂³	semidirect
663. #382	C₂³	semidirect
664. #381	C₂³	semidirect
665. #381	C₂³	semidirect
666. #381	C₂³	semidirect
672. #380	C₂³	semidirect
673. #380	C₂³	semidirect
674. #380	C₂³	semidirect
675. #380	C₂³	semidirect
676. #380	C₂³	semidirect
696. #379	C₂³	semidirect
697. #379	C₂³	semidirect
698. #379	C₂³	semidirect
699. #379	C₂³	semidirect
700. C₄×C₄⋊C₄	C₂³	semidirect
701. C₄×C₄⋊C₄	C₂³	semidirect
702. C₄×C₄⋊C₄	C₂³	semidirect
703. C₄×C₄⋊C₄	C₂³	semidirect
704. C₄×C₄⋊C₄	C₂³	semidirect
710. C₄×C₂²⋊C₄	C₂³	semidirect
711. C₄×C₂²⋊C₄	C₂³	semidirect
712. C₄×C₂²⋊C₄	C₂³	semidirect
713. C₄×C₂²⋊C₄	C₂³	semidirect
714. C₄×C₂²⋊C₄	C₂³	semidirect
715. C₄×C₂²⋊C₄	C₂³	semidirect
716. C₄×C₂²⋊C₄	C₂³	semidirect
717. C₄×C₂²⋊C₄	C₂³	semidirect
718. C₄×C₂²⋊C₄	C₂³	semidirect
719. C₄×C₂²⋊C₄	C₂³	semidirect
720. #376	C₂³	semidirect
721. C₂×#95	C₂³	semidirect
722. C₂×#95	C₂³	semidirect
723. C₂×#95	C₂³	semidirect
724. C₂×#95	C₂³	semidirect
725. C₄³	C₂³	semidirect
1573. D₄	H(3,𝔽₄)	semidirect

Maximal subgroups

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

subgroup	index
#53116	2
#52990	2
#52530	2
#52410	2
#52395	2
#52301	2
C₂×#2684	2
#46073	2
#46054	2
#46031	2
#45977	2
#45667	2
#45645	2
#45601	2
#45568	2
#45479	2
#45458	2
#45439	2
#36238	2
#36212	2
#36152	2
D₄×#124	2
D₄×#120	2
#35939	2
#35903	2
#35847	2