Subgroups — #7670677

Order 512.

9313 conjugacy classes of subgroups.

The subgroup lattice has 2100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×#124	C₂	1	1	yes	maximal, characteristic, complemented
3	#59162	C₂	1	4	yes	maximal, complemented
4	#59160	C₂	1	4	yes	maximal, complemented
5	#59148	C₂	1	2	yes	maximal, complemented
6	#59147	C₂	1	2	yes	maximal, complemented
7	#59131	C₂	1	2	yes	maximal, complemented
8	#59130	C₂	1	2	yes	maximal, complemented
9	#39135	C₂	1	1	yes	maximal, characteristic, complemented
10	#39123	C₂	1	1	yes	maximal, characteristic, complemented
11	#38918	C₂	1	1	yes	maximal, characteristic, complemented
12	#38906	C₂	1	1	yes	maximal, characteristic, complemented
13	#38044	C₂	1	2	yes	maximal, complemented
14	#38028	C₂	1	2	yes	maximal, complemented
15	#37718	C₂	1	4	yes	maximal, complemented
16	#37716	C₂	1	4	yes	maximal, complemented
17	#36621	C₂	1	1	yes	maximal, characteristic, complemented
18	#36575	C₂	1	1	yes	maximal, characteristic, complemented
19	Q₈×#120	C₂	1	1	yes	maximal, characteristic, complemented
20	#36158	C₂	1	2	yes	maximal, complemented
21	#36152	C₂	1	1	yes	maximal, characteristic, complemented
22	#36124	C₂	1	2	yes	maximal, complemented
23	#36111	C₂	1	2	yes	maximal, complemented
24	#36111	C₂	1	2	yes	maximal, complemented
25	D₄×#124	C₂	1	2	yes	maximal, complemented
26	#36098	C₂	1	2	yes	maximal, complemented
27	D₄×#120	C₂	1	1	yes	maximal, characteristic, complemented
28	#35466	C₂	1	2	yes	maximal, complemented
29	#35451	C₂	1	2	yes	maximal, complemented
30	#35131	C₂	1	1	yes	maximal, characteristic, complemented
31	#35129	C₂	1	1	yes	maximal, characteristic, complemented
32	#34988	C₂	1	2	yes	maximal, complemented
33	#34240	C₂	1	1	yes	maximal, characteristic, complemented
34	#34198	C₂	1	2	yes	maximal, complemented
35	C₄×#525	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂⁴×Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂⁴×D₄	C₂²	1	1	yes	characteristic
38	#3514	—	2	16	no	—
39	C₂×#559	C₂²	1	1	yes	characteristic, complemented
40	C₂×#556	C₂²	1	1	yes	characteristic, complemented
41	C₂×#555	C₂²	1	2	yes	complemented
42	C₂×#551	C₂²	1	2	yes	complemented
43	C₂×#551	C₂²	1	2	yes	complemented
44	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
46	C₂×#548	C₂²	1	1	yes	characteristic, complemented
47	C₂×#548	C₂²	1	2	yes	complemented
48	C₂×#548	C₂²	1	1	yes	characteristic, complemented
49	C₂×#546	C₂²	1	1	yes	characteristic
50	C₂×#546	C₂²	1	2	yes	complemented
51	C₂×#546	C₂²	1	2	yes	complemented
52	C₂×#546	C₂²	1	1	yes	characteristic, complemented
53	C₂×D₄²	C₂²	1	1	yes	characteristic
54	C₂×D₄²	C₂²	1	2	yes	—
55	C₂×#542	C₂²	1	2	yes	complemented
56	C₂×#538	C₂²	1	2	yes	complemented
57	C₂×#538	C₂²	1	2	yes	complemented
58	C₂×#532	C₂²	1	1	yes	characteristic, complemented
59	C₂×#529	C₂²	1	1	yes	characteristic, complemented
60	C₂×#529	C₂²	1	1	yes	characteristic, complemented
61	C₂×#529	C₂²	1	1	yes	characteristic, complemented
62	C₂²×#124	—	2	16	no	—
63	C₂²×#124	C₂²	1	1	yes	characteristic
64	C₂²×#124	C₂²	1	2	yes	—
65	C₂²×#124	C₂²	1	2	yes	—
66	C₂²×#124	C₂²	1	1	yes	characteristic
67	C₂²×#124	C₂²	1	2	yes	complemented
68	C₂²×#124	C₂²	1	2	yes	complemented
69	C₂²×#124	C₂²	1	4	yes	complemented
70	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#124	C₂²	1	4	yes	complemented
72	C₂²×#124	C₂²	1	2	yes	complemented
73	C₂²×#124	C₂²	1	2	yes	complemented
74	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
75	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
76	C₂×#525	C₂²	1	1	yes	characteristic
77	C₂²×#120	C₂²	1	2	yes	—
78	C₂×#518	C₂²	1	2	yes	complemented
79	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
80	C₂³×C₂²⋊C₄	C₂²	1	2	yes	complemented
81	C₂³×C₂²⋊C₄	C₂²	1	2	yes	complemented
82	C₂³×C₄²	C₂²	1	1	yes	characteristic, complemented
83	#2861	C₂²	1	2	yes	complemented
84	#2858	C₂²	1	2	yes	complemented
85	#2855	C₂²	1	1	yes	characteristic, complemented
86	#2854	C₂²	1	1	yes	characteristic, complemented
87	#2853	C₂²	1	2	yes	complemented
88	#2852	C₂²	1	4	yes	complemented
89	#2851	C₂²	1	2	yes	complemented
90	#2850	C₂²	1	2	yes	complemented
91	#2850	C₂²	1	2	yes	complemented
92	#2850	C₂²	1	2	yes	complemented
93	#2849	C₂²	1	2	yes	complemented
94	#2848	C₂²	1	1	yes	characteristic, complemented
95	#2848	C₂²	1	2	yes	complemented
96	#2847	C₂²	1	1	yes	characteristic
97	#2847	C₂²	1	2	yes	complemented
98	#2846	C₂²	1	2	yes	—
99	#2846	C₂²	1	2	yes	complemented
100	#2733	C₂²	1	4	yes	complemented
101	#2731	C₂²	1	4	yes	complemented
102	#2730	C₂²	1	4	yes	complemented
103	#2730	C₂²	1	4	yes	complemented
104	#2717	C₂²	1	4	yes	complemented
105	#2715	C₂²	1	4	yes	complemented
106	#2712	C₂²	1	4	yes	complemented
107	#2710	C₂²	1	4	yes	complemented
108	#2700	C₂²	1	4	yes	complemented
109	#2686	C₂²	1	4	yes	complemented
110	#2686	C₂²	1	4	yes	complemented
111	#2684	C₂²	1	4	yes	complemented
112	#2676	C₂²	1	4	yes	complemented
113	#2674	C₂²	1	4	yes	complemented
114	#2672	C₂²	1	4	yes	complemented
115	#2670	C₂²	1	4	yes	complemented
116	#2662	C₂²	1	4	yes	complemented
117	#2632	C₂²	1	2	yes	complemented
118	#2631	C₂²	1	2	yes	complemented
119	#2626	C₂²	1	2	yes	complemented
120	#2622	C₂²	1	2	yes	complemented
121	#2622	C₂²	1	2	yes	complemented
122	#2617	C₂²	1	2	yes	complemented
123	#2610	C₂²	1	2	yes	complemented
124	#2610	C₂²	1	4	yes	complemented
125	#2610	C₂²	1	2	yes	complemented
126	#2592	C₂²	1	2	yes	complemented
127	#2561	C₂²	1	2	yes	complemented
128	#2557	C₂²	1	4	yes	complemented
129	#2557	C₂²	1	4	yes	complemented
130	#2557	C₂²	1	4	yes	complemented
131	#2555	C₂²	1	4	yes	complemented
132	#2555	C₂²	1	4	yes	complemented
133	#2555	C₂²	1	4	yes	complemented
134	#2548	C₂²	1	2	yes	complemented
135	#2547	C₂²	1	2	yes	complemented
136	#2545	C₂²	1	2	yes	complemented
137	#2545	C₂²	1	2	yes	complemented
138	#2544	C₂²	1	2	yes	complemented
139	#2544	C₂²	1	2	yes	complemented
140	#2540	C₂²	1	2	yes	complemented
141	#2539	C₂²	1	2	yes	complemented
142	#2534	C₂²	1	2	yes	complemented
143	#2534	C₂²	1	2	yes	complemented
144	#2521	C₂²	1	4	yes	complemented
145	#2521	C₂²	1	4	yes	complemented
146	#2521	C₂²	1	4	yes	complemented
147	#2491	C₂²	1	4	yes	complemented
148	#2491	C₂²	1	4	yes	complemented
149	#2491	C₂²	1	4	yes	complemented
150	#2483	C₂²	1	2	yes	complemented
151	#2482	C₂²	1	2	yes	complemented
152	#2480	C₂²	1	4	yes	complemented
153	#2480	C₂²	1	4	yes	complemented
154	#2480	C₂²	1	4	yes	complemented
155	#2480	C₂²	1	4	yes	complemented
156	#2474	C₂²	1	4	yes	complemented
157	#2474	C₂²	1	4	yes	complemented
158	#2474	C₂²	1	4	yes	complemented
159	#2472	C₂²	1	4	yes	complemented
160	#2472	C₂²	1	4	yes	complemented
161	#2472	C₂²	1	4	yes	complemented
162	#2472	C₂²	1	4	yes	complemented
163	#2472	C₂²	1	4	yes	complemented
164	#2472	C₂²	1	4	yes	complemented
165	#2472	C₂²	1	4	yes	complemented
166	#2461	C₂²	1	4	yes	complemented
167	#2461	C₂²	1	4	yes	complemented
168	#2461	C₂²	1	4	yes	complemented
169	#2459	C₂²	1	4	yes	complemented
170	#2459	C₂²	1	4	yes	complemented
171	#2459	C₂²	1	4	yes	complemented
172	#2448	C₂²	1	2	yes	complemented
173	#2448	C₂²	1	2	yes	complemented
174	#2447	C₂²	1	2	yes	complemented
175	#2447	C₂²	1	2	yes	complemented
176	#2437	C₂²	1	4	yes	complemented
177	#2437	C₂²	1	4	yes	complemented
178	#2436	C₂²	1	2	yes	complemented
179	#2436	C₂²	1	2	yes	complemented
180	#2436	C₂²	1	4	yes	complemented
181	#2436	C₂²	1	1	yes	characteristic, complemented
182	#2436	C₂²	1	2	yes	complemented
183	#2435	C₂²	1	2	yes	—
184	#2435	C₂²	1	1	yes	characteristic, complemented
185	#2435	C₂²	1	2	yes	complemented
186	#2434	C₂²	1	1	yes	characteristic, complemented
187	#2434	C₂²	1	2	yes	complemented
188	#2434	C₂²	1	4	yes	complemented
189	#2434	C₂²	1	2	yes	complemented
190	#2433	C₂²	1	2	yes	—
191	#2433	C₂²	1	1	yes	characteristic
192	#2432	C₂²	1	2	yes	complemented
193	#2431	C₂²	1	2	yes	complemented
194	#2427	C₂²	1	2	yes	complemented
195	#2427	C₂²	1	2	yes	complemented
196	#2426	C₂²	1	2	yes	complemented
197	#2426	C₂²	1	2	yes	complemented
198	#2424	C₂²	1	4	yes	complemented
199	#2424	C₂²	1	4	yes	complemented
200	#2424	C₂²	1	4	yes	complemented
201	#2424	C₂²	1	4	yes	complemented
202	#2418	C₂²	1	4	yes	complemented
203	#2418	C₂²	1	4	yes	complemented
204	#2418	C₂²	1	4	yes	complemented
205	#2418	C₂²	1	4	yes	complemented
206	#2412	C₂²	1	2	yes	complemented
207	#2412	C₂²	1	2	yes	complemented
208	#2412	C₂²	1	4	yes	complemented
209	#2411	C₂²	1	2	yes	complemented
210	#2411	C₂²	1	2	yes	complemented
211	#2410	C₂²	1	4	yes	—
212	#2410	C₂²	1	2	yes	—
213	#2410	C₂²	1	4	yes	complemented
214	#2410	C₂²	1	2	yes	complemented
215	#2410	C₂²	1	4	yes	complemented
216	#2409	C₂²	1	1	yes	characteristic, complemented
217	#2409	C₂²	1	2	yes	complemented
218	#2409	C₂²	1	2	yes	complemented
219	#2409	C₂²	1	4	yes	complemented
220	#2409	C₂²	1	4	yes	complemented
221	#2409	C₂²	1	1	yes	characteristic, complemented
222	#2409	C₂²	1	2	yes	complemented
223	#2409	C₂²	1	2	yes	complemented
224	#2408	C₂²	1	2	yes	—
225	#2408	C₂²	1	2	yes	—
226	#2408	C₂²	1	1	yes	characteristic
227	#2408	C₂²	1	1	yes	characteristic, complemented
228	#2405	C₂²	1	4	yes	complemented
229	#2405	C₂²	1	2	yes	complemented
230	#2405	C₂²	1	2	yes	complemented
231	#2404	C₂²	1	2	yes	complemented
232	#2403	C₂²	1	4	yes	—
233	#2403	C₂²	1	2	yes	—
234	#2372	C₂²	1	4	yes	complemented
235	#2367	C₂²	1	2	yes	complemented
236	#2367	C₂²	1	2	yes	complemented
237	#2358	C₂²	1	4	yes	complemented
238	#2358	C₂²	1	4	yes	complemented
239	#2358	C₂²	1	4	yes	complemented
240	#2358	C₂²	1	4	yes	complemented
241	#2358	C₂²	1	4	yes	complemented
242	#2358	C₂²	1	4	yes	complemented
243	#2342	C₂²	1	2	yes	complemented
244	#2342	C₂²	1	2	yes	complemented
245	#2342	C₂²	1	4	yes	complemented
246	#2342	C₂²	1	4	yes	complemented
247	#2342	C₂²	1	4	yes	complemented
248	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
249	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
250	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
251	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
252	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
253	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
254	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
255	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
256	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
257	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
258	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
259	#2337	C₂²	1	4	yes	complemented
260	#2321	C₂²	1	2	yes	complemented
261	#2321	C₂²	1	2	yes	complemented
262	#2321	C₂²	1	2	yes	complemented
263	#2321	C₂²	1	2	yes	complemented
264	#2321	C₂²	1	2	yes	complemented
265	#2321	C₂²	1	2	yes	complemented
266	#2315	C₂²	1	2	yes	complemented
267	#2312	C₂²	1	2	yes	complemented
268	#2308	C₂²	1	2	yes	complemented
269	C₄×#124	C₂²	1	2	yes	complemented
270	C₄×#124	C₂²	1	2	yes	complemented
271	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
272	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
273	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
274	C₄×#123	C₂²	1	1	yes	characteristic, complemented
275	C₄×#123	C₂²	1	2	yes	complemented
276	C₄×#123	C₂²	1	1	yes	characteristic, complemented
277	C₄×#123	C₂²	1	1	yes	characteristic, complemented
278	C₄×#123	C₂²	1	1	yes	characteristic, complemented
279	C₄×#121	C₂²	1	2	yes	complemented
280	C₄×#121	C₂²	1	2	yes	complemented
281	C₄×#121	C₂²	1	2	yes	complemented
282	C₄×#120	C₂²	1	2	yes	—
283	C₄×#120	C₂²	1	1	yes	characteristic
284	C₄×#120	C₂²	1	1	yes	characteristic
285	C₄×#120	C₂²	1	2	yes	complemented
286	C₄×#120	C₂²	1	1	yes	characteristic, complemented
287	C₄×#120	C₂²	1	2	yes	complemented
288	C₄×#120	C₂²	1	1	yes	characteristic, complemented
289	#2297	C₂²	1	1	yes	characteristic, complemented
290	#2296	C₂²	1	1	yes	characteristic, complemented
291	#2290	C₂²	1	4	yes	complemented
292	#2290	C₂²	1	2	yes	complemented
293	#2290	C₂²	1	2	yes	complemented
294	#2283	C₂²	1	1	yes	characteristic, complemented
295	#2280	C₂²	1	1	yes	characteristic, complemented
296	C₂×#379	C₂²	1	2	yes	complemented
297	#2273	C₂²	1	2	yes	complemented
298	C₄²×D₄	C₂²	1	2	yes	complemented
299	C₄²×D₄	C₂²	1	2	yes	complemented
300	C₄×#117	C₂²	1	1	yes	characteristic, complemented
301	C₂⁶	C₂³	1	2	yes	—
302	C₂²×#41	C₂³	1	1	yes	characteristic
303	C₂²×#41	C₂³	1	1	yes	characteristic
304	C₂²×#41	C₂³	1	1	yes	characteristic, complemented
305	C₂³×Q₈	—	2	8	no	—
306	C₂³×Q₈	—	4	8	no	—
307	C₂³×Q₈	C₂³	1	2	yes	—
308	C₂³×Q₈	C₂³	1	2	yes	—
309	C₂³×Q₈	C₂³	1	1	yes	characteristic
310	C₂³×Q₈	C₂³	1	4	yes	—
311	C₂³×Q₈	C₂³	1	2	yes	—
312	C₂³×Q₈	C₂³	1	1	yes	characteristic
313	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
314	C₂³×D₄	—	2	8	no	—
315	C₂³×D₄	—	4	8	no	—
316	C₂³×D₄	C₂³	1	2	yes	—
317	C₂³×D₄	C₂³	1	2	yes	—
318	C₂³×D₄	C₂³	1	2	yes	—
319	C₂³×D₄	C₂³	1	2	yes	—
320	C₂³×D₄	C₂³	1	4	yes	—
321	C₂³×D₄	C₂³	1	1	yes	characteristic
322	C₂³×D₄	C₂³	1	4	yes	—
323	C₂³×D₄	C₂³	1	1	yes	characteristic
324	C₂³×D₄	C₂³	1	1	yes	characteristic
325	C₂⁴×C₄	C₂³	1	1	yes	characteristic
326	C₂⁴×C₄	C₂³	1	1	yes	characteristic
327	C₂⁴×C₄	C₂³	1	2	yes	—
328	C₂⁴×C₄	C₂³	1	1	yes	characteristic
329	#559	—	2	8	no	—
330	#556	—	2	8	no	—
331	#555	—	2	16	no	—
332	#551	—	2	16	no	—
333	#551	—	2	16	no	—
334	D₄×Q₈	—	2	8	no	—
335	D₄×Q₈	—	4	8	no	—
336	#548	—	2	8	no	—
337	#548	—	2	8	no	—
338	#548	—	4	8	no	—
339	#546	—	2	8	no	—
340	#546	—	2	8	no	—
341	#546	—	2	16	no	—
342	#546	—	4	8	no	—
343	D₄²	—	2	8	no	—
344	D₄²	—	4	8	no	—
345	#542	—	2	16	no	—
346	#538	—	2	16	no	—
347	#538	—	2	16	no	—
348	#532	—	2	8	no	—
349	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
350	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
351	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
352	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
353	C₂×#127	C₂³	1	1	yes	characteristic
354	C₂×#127	C₂³	1	2	yes	—
355	#529	—	2	8	no	—
356	#529	—	2	8	no	—
357	#529	—	2	8	no	—
358	C₂×#126	C₂³	1	2	yes	complemented
359	C₂×#126	C₂³	1	2	yes	complemented
360	C₂×#126	C₂³	1	2	yes	complemented
361	C₂×#126	C₂³	1	2	yes	complemented
362	C₂×#126	C₂³	1	2	yes	complemented
363	C₂×#125	C₂³	1	1	yes	characteristic, complemented
364	C₂×#124	—	2	8	no	—
365	C₂×#124	—	2	8	no	—
366	C₂×#124	—	2	16	no	—
367	C₂×#124	—	2	16	no	—
368	C₂×#124	—	2	8	no	—
369	C₂×#124	—	2	16	no	—
370	C₂×#124	—	2	32	no	—
371	C₂×#124	—	2	16	no	—
372	C₂×#124	—	2	32	no	—
373	C₂×#124	—	2	16	no	—
374	C₂×#124	—	2	16	no	—
375	C₂×#124	—	2	8	no	—
376	C₂×#124	D₄	1	16	yes	complemented
377	C₂×#124	C₂³	1	2	yes	—
378	C₂×#124	C₂³	1	2	yes	—
379	C₂×#124	C₂³	1	2	yes	—
380	C₂×#124	C₂³	1	2	yes	—
381	C₂×#124	C₂³	1	2	yes	—
382	C₂×#124	C₂³	1	4	yes	—
383	C₂×#124	C₂³	1	2	yes	—
384	C₂×#124	C₂³	1	2	yes	—
385	C₂×#124	C₂³	1	2	yes	—
386	C₂×#124	C₂³	1	4	yes	—
387	C₂×#124	C₂³	1	4	yes	—
388	C₂×#124	C₂³	1	4	yes	—
389	C₂×#124	C₂³	1	4	yes	—
390	C₂×#124	C₂³	1	4	yes	—
391	C₂×#124	C₂³	1	4	yes	—
392	C₂×#124	C₂³	1	4	yes	—
393	C₂×#124	C₂³	1	4	yes	—
394	C₂×#124	C₂³	1	4	yes	—
395	C₂×#124	C₂³	1	1	yes	characteristic
396	C₂×#124	C₂³	1	2	yes	—
397	C₂×#124	C₂³	1	1	yes	characteristic
398	C₂×#124	C₂³	1	1	yes	characteristic
399	C₂×#124	C₂³	1	2	yes	—
400	C₂×#124	C₂³	1	1	yes	characteristic
401	C₂×#124	C₂³	1	2	yes	—
402	C₂×#124	C₂³	1	1	yes	characteristic
403	C₂×#124	C₂³	1	1	yes	characteristic, complemented
404	C₂×#124	C₂³	1	2	yes	complemented
405	C₂×#124	C₂³	1	1	yes	characteristic, complemented
406	C₂×#124	C₂³	1	2	yes	complemented
407	C₂×#124	C₂³	1	2	yes	complemented
408	C₂×#124	C₂³	1	2	yes	complemented
409	C₂×#124	C₂³	1	2	yes	complemented
410	C₂×#124	C₂³	1	2	yes	complemented
411	C₂×#124	C₂³	1	4	yes	complemented
412	#525	—	2	8	no	—
413	C₂×#123	C₂³	1	2	yes	—
414	C₂×#123	C₂³	1	1	yes	characteristic
415	C₂×#123	C₂³	1	2	yes	—
416	C₂×#123	C₂³	1	1	yes	characteristic
417	C₂×#123	C₂³	1	2	yes	—
418	C₂×#123	C₂³	1	4	yes	—
419	C₂×#123	C₂³	1	2	yes	complemented
420	C₂×#123	C₂³	1	2	yes	complemented
421	C₂×#123	C₂³	1	2	yes	complemented
422	C₂×#123	C₂³	1	2	yes	complemented
423	C₂×#123	C₂³	1	2	yes	complemented
424	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
425	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
426	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
427	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
428	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
429	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
430	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
431	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
432	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
433	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
434	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
435	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
436	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
437	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
438	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
439	C₂×#121	C₂³	1	2	yes	—
440	C₂×#121	C₂³	1	1	yes	characteristic
441	C₂×#121	C₂³	1	2	yes	—
442	C₂×#121	C₂³	1	1	yes	characteristic
443	C₂×#121	C₂³	1	1	yes	characteristic
444	C₂×#121	C₂³	1	2	yes	—
445	C₂×#121	C₂³	1	2	yes	—
446	C₂×#121	C₂³	1	2	yes	—
447	C₂×#121	C₂³	1	4	yes	—
448	C₂×#121	C₂³	1	2	yes	—
449	C₂×#121	C₂³	1	2	yes	—
450	C₂×#121	C₂³	1	4	yes	—
451	C₂×#121	C₂³	1	4	yes	—
452	C₂×#121	C₂³	1	2	yes	complemented
453	C₂×#121	C₂³	1	2	yes	complemented
454	C₂×#121	C₂³	1	2	yes	complemented
455	C₂×#121	C₂³	1	2	yes	complemented
456	C₂×#120	—	2	16	no	—
457	C₂×#120	C₂³	1	2	yes	—
458	C₂×#120	C₂³	1	2	yes	—
459	C₂×#120	C₂³	1	2	yes	—
460	C₂×#120	C₂³	1	2	yes	—
461	C₂×#120	C₂³	1	1	yes	characteristic
462	C₂×#120	C₂³	1	2	yes	—
463	C₂×#120	C₂³	1	4	yes	—
464	C₂×#120	C₂³	1	4	yes	—
465	C₂×#120	C₂³	1	2	yes	—
466	C₂×#120	C₂³	1	2	yes	—
467	C₂×#120	C₂³	1	2	yes	—
468	C₂×#120	C₂³	1	4	yes	—
469	C₂×#120	C₂³	1	4	yes	—
470	C₂×#120	C₂³	1	4	yes	—
471	C₂×#120	C₂³	1	4	yes	—
472	C₂×#120	C₂³	1	4	yes	—
473	C₂×#120	C₂³	1	1	yes	characteristic
474	C₂×#120	C₂³	1	2	yes	complemented
475	#518	—	2	16	no	—
476	C₄×#41	—	2	8	no	—
477	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
478	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
479	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
480	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
481	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
482	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
483	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
484	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
485	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
486	C₂×C₄×D₄	C₂³	1	2	yes	—
487	C₂×C₄×D₄	C₂³	1	2	yes	—
488	C₂×C₄×D₄	C₂³	1	2	yes	—
489	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
490	C₂×C₄×D₄	C₂³	1	2	yes	—
491	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
492	C₂×C₄×D₄	C₂³	1	2	yes	—
493	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
494	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
495	C₂×C₄×D₄	C₂³	1	2	yes	—
496	C₂×C₄×D₄	C₂³	1	2	yes	—
497	C₂×C₄×D₄	C₂³	1	2	yes	—
498	C₂×C₄×D₄	C₂³	1	2	yes	—
499	C₂×C₄×D₄	C₂³	1	2	yes	—
500	C₂×C₄×D₄	C₂³	1	4	yes	—
501	C₂×C₄×D₄	C₂³	1	4	yes	—
502	C₂×C₄×D₄	C₂³	1	4	yes	—
503	C₂×C₄×D₄	C₂³	1	2	yes	—
504	C₂×C₄×D₄	C₂³	1	2	yes	complemented
505	C₂×C₄×D₄	C₂³	1	2	yes	complemented
506	C₂×C₄×D₄	C₂³	1	2	yes	complemented
507	C₂×C₄×D₄	C₂³	1	2	yes	complemented
508	C₂×C₄×D₄	C₂³	1	2	yes	complemented
509	C₂×C₄×D₄	C₂³	1	2	yes	complemented
510	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
511	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
512	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
513	C₂×#117	C₂³	1	1	yes	characteristic
514	C₂×#117	C₂³	1	1	yes	characteristic
515	C₂×#117	C₂³	1	1	yes	characteristic
516	C₂×#117	C₂³	1	2	yes	complemented
517	C₂×#117	C₂³	1	2	yes	complemented
518	C₂×#117	C₂³	1	2	yes	complemented
519	C₂×#117	C₂³	1	1	yes	characteristic, complemented
520	C₂×#117	C₂³	1	1	yes	characteristic, complemented
521	C₂×#117	C₂³	1	2	yes	complemented
522	C₂²×C₂²⋊C₄	—	2	16	no	—
523	C₂²×C₂²⋊C₄	—	2	16	no	—
524	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
525	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
526	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
527	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
528	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
529	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
530	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
531	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
532	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
533	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
534	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
535	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
536	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
537	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
538	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
539	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
540	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
541	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
542	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
543	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
544	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
545	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
546	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
547	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
548	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
549	C₂²×C₄²	—	2	8	no	—
550	C₂²×C₄²	C₂³	1	2	yes	—
551	C₂²×C₄²	C₂³	1	2	yes	—
552	C₂²×C₄²	C₂³	1	1	yes	characteristic
553	C₂²×C₄²	C₂³	1	1	yes	characteristic
554	C₂²×C₄²	C₂³	1	2	yes	—
555	C₂²×C₄²	C₂³	1	2	yes	—
556	C₂²×C₄²	C₂³	1	1	yes	characteristic
557	C₂²×C₄²	C₂³	1	1	yes	characteristic
558	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
559	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
560	#399	C₂³	1	4	yes	complemented
561	#399	C₂³	1	4	yes	complemented
562	#399	C₂³	1	4	yes	complemented
563	#397	C₂³	1	4	yes	complemented
564	#397	C₂³	1	4	yes	complemented
565	#397	C₂³	1	4	yes	complemented
566	#397	C₂³	1	4	yes	complemented
567	#397	C₂³	1	4	yes	complemented
568	#397	C₂³	1	4	yes	complemented
569	#397	C₂³	1	4	yes	complemented
570	#397	C₂³	1	4	yes	complemented
571	#397	C₂³	1	4	yes	complemented
572	#397	C₂³	1	4	yes	complemented
573	#397	C₂³	1	4	yes	complemented
574	#396	C₂³	1	4	yes	complemented
575	#396	C₂³	1	4	yes	complemented
576	#396	C₂³	1	4	yes	complemented
577	#396	C₂³	1	4	yes	complemented
578	#396	C₂³	1	4	yes	complemented
579	#396	C₂³	1	4	yes	complemented
580	#395	C₂³	1	2	yes	complemented
581	#395	C₂³	1	2	yes	complemented
582	#395	C₂³	1	4	yes	complemented
583	#395	C₂³	1	4	yes	complemented
584	#395	C₂³	1	4	yes	complemented
585	#395	C₂³	1	4	yes	complemented
586	#395	C₂³	1	4	yes	complemented
587	#394	C₂³	1	2	yes	—
588	#394	C₂³	1	2	yes	—
589	#394	C₂³	1	4	yes	—
590	#394	C₂³	1	4	yes	—
591	#394	C₂³	1	4	yes	—
592	#394	C₂³	1	4	yes	—
593	#394	C₂³	1	4	yes	—
594	#394	C₂³	1	4	yes	complemented
595	#394	C₂³	1	4	yes	complemented
596	#394	C₂³	1	4	yes	complemented
597	#394	C₂³	1	4	yes	complemented
598	#394	C₂³	1	4	yes	complemented
599	#394	C₂³	1	4	yes	complemented
600	#394	C₂³	1	4	yes	complemented
601	#394	C₂³	1	4	yes	complemented
602	#394	C₂³	1	4	yes	complemented
603	#394	C₂³	1	4	yes	complemented
604	#394	C₂³	1	4	yes	complemented
605	#394	C₂³	1	4	yes	complemented
606	#394	C₂³	1	4	yes	complemented
607	#394	C₂³	1	4	yes	complemented
608	#393	C₂³	1	4	yes	complemented
609	#393	C₂³	1	4	yes	complemented
610	#393	C₂³	1	2	yes	complemented
611	#393	C₂³	1	2	yes	complemented
612	#393	C₂³	1	4	yes	complemented
613	#393	C₂³	1	4	yes	complemented
614	#393	C₂³	1	4	yes	complemented
615	#393	C₂³	1	4	yes	complemented
616	#393	C₂³	1	4	yes	complemented
617	#393	C₂³	1	4	yes	complemented
618	#392	C₂³	1	2	yes	—
619	#392	C₂³	1	2	yes	—
620	#392	C₂³	1	4	yes	—
621	#392	C₂³	1	4	yes	—
622	#392	C₂³	1	4	yes	—
623	#392	C₂³	1	4	yes	—
624	#392	C₂³	1	4	yes	—
625	#392	C₂³	1	4	yes	complemented
626	#392	C₂³	1	4	yes	complemented
627	#392	C₂³	1	4	yes	complemented
628	#391	C₂³	1	2	yes	complemented
629	#391	C₂³	1	2	yes	complemented
630	#391	C₂³	1	4	yes	complemented
631	#391	C₂³	1	4	yes	complemented
632	#391	C₂³	1	2	yes	complemented
633	#391	C₂³	1	2	yes	complemented
634	#391	C₂³	1	2	yes	complemented
635	#391	C₂³	1	2	yes	complemented
636	#391	C₂³	1	2	yes	complemented
637	#391	C₂³	1	4	yes	complemented
638	#391	C₂³	1	4	yes	complemented
639	#391	C₂³	1	4	yes	complemented
640	#391	C₂³	1	4	yes	complemented
641	#391	C₂³	1	2	yes	complemented
642	#390	C₂³	1	2	yes	—
643	#390	C₂³	1	2	yes	—
644	#390	C₂³	1	2	yes	—
645	#390	C₂³	1	2	yes	—
646	#390	C₂³	1	2	yes	—
647	#390	C₂³	1	2	yes	—
648	#390	C₂³	1	4	yes	complemented
649	#390	C₂³	1	4	yes	complemented
650	#390	C₂³	1	4	yes	complemented
651	#390	C₂³	1	4	yes	complemented
652	#390	C₂³	1	4	yes	complemented
653	#390	C₂³	1	4	yes	complemented
654	#390	C₂³	1	4	yes	complemented
655	#390	C₂³	1	4	yes	complemented
656	#390	C₂³	1	2	yes	complemented
657	#390	C₂³	1	4	yes	complemented
658	#390	C₂³	1	4	yes	complemented
659	#390	C₂³	1	2	yes	complemented
660	#389	C₂³	1	2	yes	complemented
661	#389	C₂³	1	2	yes	complemented
662	#389	C₂³	1	2	yes	complemented
663	#389	C₂³	1	2	yes	complemented
664	#388	C₂³	1	4	yes	complemented
665	#388	C₂³	1	4	yes	complemented
666	#388	C₂³	1	4	yes	complemented
667	#388	C₂³	1	4	yes	complemented
668	#388	C₂³	1	4	yes	complemented
669	#388	C₂³	1	4	yes	complemented
670	#388	C₂³	1	4	yes	complemented
671	#388	C₂³	1	4	yes	complemented
672	#388	C₂³	1	4	yes	complemented
673	#388	C₂³	1	4	yes	complemented
674	#388	C₂³	1	4	yes	complemented
675	#388	C₂³	1	4	yes	complemented
676	#388	C₂³	1	4	yes	complemented
677	#388	C₂³	1	4	yes	complemented
678	#388	C₂³	1	4	yes	complemented
679	#388	C₂³	1	4	yes	complemented
680	#388	C₂³	1	4	yes	complemented
681	#388	C₂³	1	4	yes	complemented
682	#388	C₂³	1	4	yes	complemented
683	#388	C₂³	1	4	yes	complemented
684	#388	C₂³	1	4	yes	complemented
685	#388	C₂³	1	4	yes	complemented
686	#388	C₂³	1	4	yes	complemented
687	#388	C₂³	1	4	yes	complemented
688	#388	C₂³	1	4	yes	complemented
689	#388	C₂³	1	4	yes	complemented
690	#388	C₂³	1	4	yes	complemented
691	#388	C₂³	1	4	yes	complemented
692	#388	C₂³	1	4	yes	complemented
693	#388	C₂³	1	4	yes	complemented
694	#388	C₂³	1	4	yes	complemented
695	#388	C₂³	1	4	yes	complemented
696	#388	C₂³	1	2	yes	complemented
697	#388	C₂³	1	2	yes	complemented
698	#388	C₂³	1	2	yes	complemented
699	#388	C₂³	1	2	yes	complemented
700	#387	C₂³	1	4	yes	complemented
701	#387	C₂³	1	4	yes	complemented
702	#387	C₂³	1	4	yes	complemented
703	#387	C₂³	1	4	yes	complemented
704	#387	C₂³	1	2	yes	complemented
705	#387	C₂³	1	2	yes	complemented
706	#387	C₂³	1	2	yes	complemented
707	#387	C₂³	1	2	yes	complemented
708	#386	C₂³	1	1	yes	characteristic
709	#386	C₂³	1	2	yes	—
710	#386	C₂³	1	2	yes	—
711	#386	C₂³	1	2	yes	—
712	#386	C₂³	1	2	yes	—
713	#386	C₂³	1	2	yes	—
714	#386	C₂³	1	4	yes	—
715	#386	C₂³	1	2	yes	—
716	#386	C₂³	1	4	yes	—
717	#386	C₂³	1	4	yes	—
718	#386	C₂³	1	4	yes	—
719	#386	C₂³	1	4	yes	—
720	#386	C₂³	1	4	yes	—
721	#386	C₂³	1	4	yes	—
722	#386	C₂³	1	4	yes	—
723	#386	C₂³	1	4	yes	—
724	#386	C₂³	1	2	yes	—
725	#386	C₂³	1	4	yes	—
726	#386	C₂³	1	4	yes	—
727	#386	C₂³	1	4	yes	—
728	#386	C₂³	1	4	yes	—
729	#386	C₂³	1	4	yes	—
730	#386	C₂³	1	1	yes	characteristic
731	#386	C₂³	1	2	yes	—
732	#386	C₂³	1	1	yes	characteristic
733	#386	C₂³	1	2	yes	—
734	#386	C₂³	1	1	yes	characteristic
735	#386	C₂³	1	2	yes	—
736	#386	C₂³	1	4	yes	complemented
737	#386	C₂³	1	4	yes	complemented
738	#386	C₂³	1	4	yes	complemented
739	#386	C₂³	1	4	yes	complemented
740	#386	C₂³	1	4	yes	complemented
741	#386	C₂³	1	4	yes	complemented
742	#386	C₂³	1	4	yes	complemented
743	#386	C₂³	1	4	yes	complemented
744	#386	C₂³	1	4	yes	complemented
745	#386	C₂³	1	4	yes	complemented
746	#386	C₂³	1	4	yes	complemented
747	#386	C₂³	1	4	yes	complemented
748	#386	C₂³	1	4	yes	complemented
749	#386	C₂³	1	4	yes	complemented
750	#385	C₂³	1	1	yes	characteristic
751	#385	C₂³	1	2	yes	—
752	#385	C₂³	1	2	yes	—
753	#385	C₂³	1	2	yes	—
754	#385	C₂³	1	2	yes	—
755	#385	C₂³	1	2	yes	—
756	#385	C₂³	1	4	yes	—
757	#385	C₂³	1	2	yes	—
758	#385	C₂³	1	4	yes	—
759	#385	C₂³	1	4	yes	—
760	#385	C₂³	1	4	yes	—
761	#385	C₂³	1	4	yes	—
762	#385	C₂³	1	4	yes	—
763	#385	C₂³	1	2	yes	—
764	#385	C₂³	1	4	yes	—
765	#385	C₂³	1	4	yes	—
766	#385	C₂³	1	1	yes	characteristic
767	#385	C₂³	1	2	yes	—
768	#385	C₂³	1	1	yes	characteristic
769	#385	C₂³	1	2	yes	—
770	#385	C₂³	1	1	yes	characteristic
771	#385	C₂³	1	2	yes	—
772	#385	C₂³	1	4	yes	complemented
773	#385	C₂³	1	4	yes	complemented
774	#385	C₂³	1	4	yes	complemented
775	#385	C₂³	1	4	yes	complemented
776	#385	C₂³	1	4	yes	complemented
777	#385	C₂³	1	4	yes	complemented
778	#383	C₂³	1	2	yes	complemented
779	#382	C₂³	1	2	yes	complemented
780	#381	C₂³	1	1	yes	characteristic
781	#381	C₂³	1	2	yes	—
782	#381	C₂³	1	2	yes	—
783	#381	C₂³	1	1	yes	characteristic
784	#381	C₂³	1	4	yes	complemented
785	#381	C₂³	1	4	yes	complemented
786	#380	C₂³	1	2	yes	—
787	#380	C₂³	1	2	yes	—
788	#380	C₂³	1	2	yes	—
789	#380	C₂³	1	1	yes	characteristic
790	#380	C₂³	1	4	yes	—
791	#380	C₂³	1	1	yes	characteristic
792	#380	C₂³	1	2	yes	—
793	#380	C₂³	1	4	yes	—
794	#380	C₂³	1	2	yes	—
795	#380	C₂³	1	2	yes	—
796	#380	C₂³	1	4	yes	complemented
797	#380	C₂³	1	4	yes	complemented
798	#380	C₂³	1	4	yes	complemented
799	#380	C₂³	1	4	yes	complemented
800	#379	C₂³	1	2	yes	—
801	#379	C₂³	1	2	yes	—
802	#379	C₂³	1	2	yes	—
803	#379	C₂³	1	2	yes	—
804	#379	C₂³	1	2	yes	—
805	#379	C₂³	1	2	yes	—
806	#379	C₂³	1	1	yes	characteristic
807	#379	C₂³	1	4	yes	—
808	#379	C₂³	1	4	yes	—
809	#379	C₂³	1	2	yes	—
810	#379	C₂³	1	4	yes	—
811	#379	C₂³	1	4	yes	—
812	#379	C₂³	1	4	yes	—
813	#379	C₂³	1	4	yes	—
814	#379	C₂³	1	1	yes	characteristic
815	#379	C₂³	1	4	yes	complemented
816	#379	C₂³	1	4	yes	complemented
817	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
818	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
819	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
820	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
821	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
822	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
823	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
824	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
825	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
826	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
827	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
828	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
829	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
830	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
831	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
832	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
833	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
834	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
835	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
836	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
837	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
838	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
839	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
840	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
841	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
842	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
843	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
844	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
845	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
846	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
847	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
848	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
849	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
850	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
851	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
852	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
853	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
854	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
855	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
856	#376	C₂³	1	2	yes	complemented
857	#376	C₂³	1	2	yes	complemented
858	C₄³	C₂³	1	2	yes	complemented
859	C₂⁵	—	2	8	no	—
860	C₂⁵	—	2	8	no	—
861	C₂⁵	—	4	8	no	—
862	C₂⁵	—	4	4	no	—
863	C₂⁵	—	4	8	no	—
864	C₂⁵	C₂⁴	1	1	yes	characteristic
865	C₂⁵	C₂⁴	1	4	yes	—
866	C₂⁵	C₂⁴	1	4	yes	—
867	C₂⁵	C₂⁴	1	2	yes	—
868	C₂⁵	C₂⁴	1	2	yes	—
869	C₂⁵	C₂⁴	1	2	yes	—
870	C₂×#41	—	2	4	no	—
871	C₂×#41	—	2	4	no	—
872	C₂×#41	—	2	4	no	—
873	C₂×#41	—	2	4	no	—
874	C₂×#41	—	4	2	no	—
875	C₂×#41	—	4	4	no	—
876	C₂×#41	—	4	4	no	—
877	C₂²×Q₈	—	2	8	no	—
878	C₂²×Q₈	—	2	8	no	—
879	C₂²×Q₈	—	2	16	no	—
880	C₂²×Q₈	—	2	4	no	—
881	C₂²×Q₈	—	2	8	no	—
882	C₂²×Q₈	—	2	4	no	—
883	C₂²×Q₈	—	2	8	no	—
884	C₂²×Q₈	—	2	8	no	—
885	C₂²×Q₈	—	4	8	no	—
886	C₂²×Q₈	—	4	4	no	—
887	C₂²×Q₈	—	4	4	no	—
888	C₂²×Q₈	—	4	4	no	—
889	C₂²×Q₈	—	4	4	no	—
890	C₂²×Q₈	—	4	8	no	—
891	C₂²×Q₈	—	4	8	no	—
892	C₂²×Q₈	—	4	4	no	—
893	C₂²×Q₈	—	4	64	no	—
894	C₂²×Q₈	C₂×D₄	1	8	yes	complemented
895	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
896	C₂²×Q₈	C₂⁴	1	2	yes	—
897	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
898	C₂²×Q₈	C₂⁴	1	4	yes	—
899	C₂²×Q₈	C₂⁴	1	4	yes	—
900	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
901	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
902	C₂²×Q₈	C₂⁴	1	2	yes	—
903	C₂²×Q₈	C₂⁴	1	2	yes	—
904	C₂²×Q₈	C₂⁴	1	2	yes	—
905	C₂²×D₄	—	2	8	no	—
906	C₂²×D₄	—	2	8	no	—
907	C₂²×D₄	—	2	8	no	—
908	C₂²×D₄	—	2	8	no	—
909	C₂²×D₄	—	2	16	no	—
910	C₂²×D₄	—	2	8	no	—
911	C₂²×D₄	—	2	4	no	—
912	C₂²×D₄	—	2	16	no	—
913	C₂²×D₄	—	2	4	no	—
914	C₂²×D₄	—	2	8	no	—
915	C₂²×D₄	—	2	8	no	—
916	C₂²×D₄	—	4	4	no	—
917	C₂²×D₄	—	4	4	no	—
918	C₂²×D₄	—	4	4	no	—
919	C₂²×D₄	—	4	8	no	—
920	C₂²×D₄	—	4	8	no	—
921	C₂²×D₄	—	4	4	no	—
922	C₂²×D₄	—	4	4	no	—
923	C₂²×D₄	—	4	8	no	—
924	C₂²×D₄	—	4	64	no	—
925	C₂²×D₄	—	4	4	no	—
926	C₂²×D₄	—	4	8	no	—
927	C₂²×D₄	—	4	8	no	—
928	C₂²×D₄	C₂×D₄	1	8	yes	—
929	C₂²×D₄	C₂⁴	1	2	yes	—
930	C₂²×D₄	C₂⁴	1	1	yes	characteristic
931	C₂²×D₄	C₂⁴	1	2	yes	—
932	C₂²×D₄	C₂⁴	1	4	yes	—
933	C₂²×D₄	C₂⁴	1	1	yes	characteristic
934	C₂²×D₄	C₂⁴	1	2	yes	—
935	C₂²×D₄	C₂⁴	1	2	yes	—
936	C₂²×D₄	C₂⁴	1	2	yes	—
937	C₂²×D₄	C₂⁴	1	1	yes	characteristic
938	C₂²×D₄	C₂⁴	1	4	yes	—
939	C₂²×D₄	C₂⁴	1	4	yes	—
940	C₂²×D₄	C₂⁴	1	1	yes	characteristic
941	C₂²×D₄	C₂⁴	1	1	yes	characteristic
942	C₂²×D₄	C₂⁴	1	2	yes	—
943	C₂²×D₄	C₂⁴	1	1	yes	characteristic
944	C₂²×D₄	C₂⁴	1	2	yes	—
945	C₂²×D₄	C₂⁴	1	2	yes	—
946	C₂²×D₄	C₂⁴	1	2	yes	—
947	C₂²×D₄	C₂⁴	1	2	yes	—
948	C₂²×D₄	C₂⁴	1	4	yes	—
949	C₂²×D₄	C₂⁴	1	4	yes	—
950	C₂²×D₄	C₂⁴	1	2	yes	—
951	C₂²×D₄	C₂⁴	1	2	yes	—
952	C₂²×D₄	C₂⁴	1	4	yes	—
953	C₂²×D₄	C₂⁴	1	4	yes	—
954	C₂²×D₄	C₂⁴	1	2	yes	—
955	C₂³×C₄	—	2	4	no	—
956	C₂³×C₄	—	2	8	no	—
957	C₂³×C₄	—	2	4	no	—
958	C₂³×C₄	—	2	8	no	—
959	C₂³×C₄	—	2	4	no	—
960	C₂³×C₄	—	2	4	no	—
961	C₂³×C₄	—	4	2	no	—
962	C₂³×C₄	—	4	4	no	—
963	C₂³×C₄	—	4	8	no	—
964	C₂³×C₄	C₂⁴	1	1	yes	characteristic
965	C₂³×C₄	C₂⁴	1	1	yes	characteristic
966	C₂³×C₄	C₂⁴	1	1	yes	characteristic
967	C₂³×C₄	C₂⁴	1	1	yes	characteristic
968	C₂³×C₄	C₂⁴	1	2	yes	—
969	C₂³×C₄	C₂⁴	1	2	yes	—
970	C₂³×C₄	C₂⁴	1	2	yes	—
971	C₂³×C₄	C₂⁴	1	2	yes	—
972	C₂³×C₄	C₂⁴	1	4	yes	—
973	C₂³×C₄	C₂⁴	1	4	yes	—
974	C₂³×C₄	C₂⁴	1	2	yes	—
975	C₂³×C₄	C₂⁴	1	2	yes	—
976	C₂³×C₄	C₂⁴	1	1	yes	characteristic
977	C₂³×C₄	C₂⁴	1	1	yes	characteristic
978	C₂³×C₄	C₂⁴	1	1	yes	characteristic
979	C₂³×C₄	C₂⁴	1	1	yes	characteristic
980	C₂³×C₄	C₂⁴	1	2	yes	—
981	C₂³×C₄	C₂⁴	1	2	yes	—
982	C₂³×C₄	C₂⁴	1	1	yes	characteristic
983	C₂³×C₄	C₂⁴	1	2	yes	—
984	C₂³×C₄	C₂⁴	1	2	yes	—
985	C₂³×C₄	C₂⁴	1	4	yes	—
986	C₂³×C₄	C₂⁴	1	1	yes	characteristic
987	C₂³×C₄	C₂⁴	1	2	yes	—
988	C₂³×C₄	C₂⁴	1	2	yes	—
989	C₂³×C₄	C₂⁴	1	2	yes	—
990	C₂³×C₄	C₂⁴	1	1	yes	characteristic
991	C₂³×C₄	C₂⁴	1	4	yes	—
992	C₂³×C₄	C₂⁴	1	1	yes	characteristic
993	C₂³×C₄	C₂⁴	1	2	yes	—
994	C₄⋊Q₈	—	2	4	no	—
995	C₄⋊Q₈	—	2	8	no	—
996	C₄⋊Q₈	—	4	4	no	—
997	C₄⋊Q₈	—	4	8	no	—
998	#127	—	2	4	no	—
999	#127	—	4	4	no	—
1000	#126	—	2	8	no	—
1001	#126	—	2	8	no	—
1002	#126	—	2	8	no	—
1003	#126	—	2	8	no	—
1004	#126	—	2	8	no	—
1005	#125	—	2	4	no	—
1006	#124	—	2	8	no	—
1007	#124	—	2	8	no	—
1008	#124	—	2	16	no	—
1009	#124	—	2	4	no	—
1010	#124	—	2	8	no	—
1011	#124	—	2	8	no	—
1012	#124	—	2	8	no	—
1013	#124	—	2	16	no	—
1014	#124	—	2	4	no	—
1015	#124	—	2	16	no	—
1016	#124	—	2	16	no	—
1017	#124	—	2	16	no	—
1018	#124	—	2	16	no	—
1019	#124	—	2	16	no	—
1020	#124	—	2	16	no	—
1021	#124	—	2	16	no	—
1022	#124	—	2	16	no	—
1023	#124	—	2	8	no	—
1024	#124	—	2	8	no	—
1025	#124	—	2	8	no	—
1026	#124	—	2	8	no	—
1027	#124	—	2	8	no	—
1028	#124	—	2	8	no	—
1029	#124	—	2	8	no	—
1030	#124	—	2	8	no	—
1031	#124	—	2	4	no	—
1032	#124	—	4	4	no	—
1033	#124	—	4	4	no	—
1034	#124	—	4	8	no	—
1035	#124	C₂×D₄	1	8	yes	—
1036	#124	C₂×D₄	1	8	yes	—
1037	#124	C₂×D₄	1	8	yes	complemented
1038	#124	C₂×D₄	1	16	yes	complemented
1039	#124	C₂×D₄	1	8	yes	complemented
1040	#124	C₂×D₄	1	16	yes	complemented
1041	#123	—	2	8	no	—
1042	#123	—	2	4	no	—
1043	#123	—	2	8	no	—
1044	#123	—	2	8	no	—
1045	#123	—	2	8	no	—
1046	#123	—	2	8	no	—
1047	#123	—	2	8	no	—
1048	#123	—	2	8	no	—
1049	#123	—	2	4	no	—
1050	#123	—	4	4	no	—
1051	#123	—	4	8	no	—
1052	C₂²⋊Q₈	—	2	4	no	—
1053	C₂²⋊Q₈	—	2	4	no	—
1054	C₂²⋊Q₈	—	2	8	no	—
1055	C₂²⋊Q₈	—	2	8	no	—
1056	C₂²⋊Q₈	—	2	4	no	—
1057	C₂²⋊Q₈	—	2	8	no	—
1058	C₂²⋊Q₈	—	2	8	no	—
1059	C₂²⋊Q₈	—	2	8	no	—
1060	C₂²⋊Q₈	—	2	8	no	—
1061	C₂²⋊Q₈	—	2	8	no	—
1062	C₂²⋊Q₈	—	4	8	no	—
1063	C₂²⋊Q₈	—	4	8	no	—
1064	C₂²⋊Q₈	—	4	8	no	—
1065	C₂²⋊Q₈	—	4	4	no	—
1066	C₂²⋊Q₈	—	4	4	no	—
1067	#121	—	2	4	no	—
1068	#121	—	2	4	no	—
1069	#121	—	2	8	no	—
1070	#121	—	2	8	no	—
1071	#121	—	2	8	no	—
1072	#121	—	2	4	no	—
1073	#121	—	2	8	no	—
1074	#121	—	2	8	no	—
1075	#121	—	2	8	no	—
1076	#121	—	2	8	no	—
1077	#121	—	2	8	no	—
1078	#121	—	2	8	no	—
1079	#121	—	4	8	no	—
1080	#121	—	4	8	no	—
1081	#121	—	4	4	no	—
1082	#121	—	4	4	no	—
1083	#121	—	4	8	no	—
1084	#120	—	2	8	no	—
1085	#120	—	2	8	no	—
1086	#120	—	2	8	no	—
1087	#120	—	2	4	no	—
1088	#120	—	2	8	no	—
1089	#120	—	2	16	no	—
1090	#120	—	2	8	no	—
1091	#120	—	2	8	no	—
1092	#120	—	2	8	no	—
1093	#120	—	2	16	no	—
1094	#120	—	4	8	no	—
1095	#120	—	4	8	no	—
1096	#120	—	4	4	no	—
1097	#120	—	4	4	no	—
1098	#120	—	4	8	no	—
1099	#120	—	4	8	no	—
1100	#120	—	4	8	no	—
1101	#120	#41	1	8	yes	complemented
1102	C₄×Q₈	—	2	4	no	—
1103	C₄×Q₈	—	2	4	no	—
1104	C₄×Q₈	—	2	4	no	—
1105	C₄×Q₈	—	2	4	no	—
1106	C₄×Q₈	—	2	4	no	—
1107	C₄×Q₈	—	4	4	no	—
1108	C₄×Q₈	—	4	4	no	—
1109	C₄×D₄	—	2	4	no	—
1110	C₄×D₄	—	2	4	no	—
1111	C₄×D₄	—	2	8	no	—
1112	C₄×D₄	—	2	4	no	—
1113	C₄×D₄	—	2	4	no	—
1114	C₄×D₄	—	2	4	no	—
1115	C₄×D₄	—	2	4	no	—
1116	C₄×D₄	—	2	8	no	—
1117	C₄×D₄	—	2	8	no	—
1118	C₄×D₄	—	2	8	no	—
1119	C₄×D₄	—	2	8	no	—
1120	C₄×D₄	—	2	8	no	—
1121	C₄×D₄	—	2	8	no	—
1122	C₄×D₄	—	2	8	no	—
1123	C₄×D₄	—	2	8	no	—
1124	C₄×D₄	—	2	8	no	—
1125	C₄×D₄	—	2	8	no	—
1126	C₄×D₄	—	2	8	no	—
1127	C₄×D₄	—	2	8	no	—
1128	C₄×D₄	—	2	4	no	—
1129	C₄×D₄	—	2	4	no	—
1130	C₄×D₄	—	2	4	no	—
1131	C₄×D₄	—	4	4	no	—
1132	C₄×D₄	—	4	4	no	—
1133	C₄×D₄	—	4	4	no	—
1134	C₄×D₄	—	4	8	no	—
1135	C₄×D₄	—	4	4	no	—
1136	C₄×D₄	—	4	8	no	—
1137	C₄×D₄	—	4	8	no	—
1138	#117	—	2	4	no	—
1139	#117	—	2	8	no	—
1140	#117	—	2	8	no	—
1141	#117	—	2	8	no	—
1142	#117	—	2	4	no	—
1143	#117	—	2	4	no	—
1144	#117	—	2	4	no	—
1145	#117	—	2	8	no	—
1146	#117	—	4	2	no	—
1147	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1149	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1150	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1151	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1152	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1153	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1154	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1155	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1156	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1157	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1158	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1159	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1160	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1162	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1163	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1164	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1165	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1166	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1167	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1168	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1169	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1170	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1171	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1172	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1173	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1174	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1175	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1176	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1177	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1178	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1179	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1180	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1181	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1182	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1183	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1184	C₂×C₂²⋊C₄	—	2	8	no	—
1185	C₂×C₂²⋊C₄	—	2	8	no	—
1186	C₂×C₂²⋊C₄	—	2	8	no	—
1187	C₂×C₂²⋊C₄	—	2	8	no	—
1188	C₂×C₂²⋊C₄	—	2	8	no	—
1189	C₂×C₂²⋊C₄	—	2	8	no	—
1190	C₂×C₂²⋊C₄	—	2	8	no	—
1191	C₂×C₂²⋊C₄	—	2	16	no	—
1192	C₂×C₂²⋊C₄	—	2	16	no	—
1193	C₂×C₂²⋊C₄	—	2	16	no	—
1194	C₂×C₂²⋊C₄	—	2	16	no	—
1195	C₂×C₂²⋊C₄	—	2	16	no	—
1196	C₂×C₂²⋊C₄	—	2	16	no	—
1197	C₂×C₂²⋊C₄	—	2	16	no	—
1198	C₂×C₂²⋊C₄	—	2	16	no	—
1199	C₂×C₂²⋊C₄	—	2	8	no	—
1200	C₂×C₂²⋊C₄	—	2	8	no	—
1201	C₂×C₂²⋊C₄	—	2	8	no	—
1202	C₂×C₂²⋊C₄	—	2	8	no	—
1203	C₂×C₂²⋊C₄	—	2	16	no	—
1204	C₂×C₂²⋊C₄	—	4	4	no	—
1205	C₂×C₂²⋊C₄	—	4	8	no	—
1206	C₂×C₂²⋊C₄	—	4	8	no	—
1207	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
1208	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
1209	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1210	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1211	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1212	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1213	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1214	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1215	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1216	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1217	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1218	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1219	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1220	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1221	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1222	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1223	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1224	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1225	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1226	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1227	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1228	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1229	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1230	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1231	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1232	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1233	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1234	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1235	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1236	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1237	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1238	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1239	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1240	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1241	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1242	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1243	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1244	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1246	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1247	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1249	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1250	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1251	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1252	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1253	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1254	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1255	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1256	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1257	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1258	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1259	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1260	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1261	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1262	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1263	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1264	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1265	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1266	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1267	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1268	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1269	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1270	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1271	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1272	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1273	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1274	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1275	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1276	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1277	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1278	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1279	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1280	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1281	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1282	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1283	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1284	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1285	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1286	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1287	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1288	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1289	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1290	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1291	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1292	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1293	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1294	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1295	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1296	C₂×C₄²	—	2	4	no	—
1297	C₂×C₄²	—	2	4	no	—
1298	C₂×C₄²	—	2	4	no	—
1299	C₂×C₄²	—	2	4	no	—
1300	C₂×C₄²	—	2	4	no	—
1301	C₂×C₄²	—	2	8	no	—
1302	C₂×C₄²	—	2	8	no	—
1303	C₂×C₄²	—	2	8	no	—
1304	C₂×C₄²	—	2	8	no	—
1305	C₂×C₄²	C₂×D₄	1	8	yes	complemented
1306	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1307	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1308	C₂×C₄²	C₂⁴	1	2	yes	—
1309	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1310	C₂×C₄²	C₂⁴	1	2	yes	—
1311	C₂×C₄²	C₂⁴	1	2	yes	—
1312	C₂×C₄²	C₂⁴	1	2	yes	—
1313	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1314	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1315	C₂×C₄²	C₂⁴	1	2	yes	—
1316	C₂×C₄²	C₂⁴	1	2	yes	—
1317	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1318	C₂×C₄²	C₂⁴	1	2	yes	—
1319	C₂×C₄²	C₂⁴	1	2	yes	—
1320	C₂×C₄²	C₂⁴	1	2	yes	—
1321	C₂×C₄²	C₂⁴	1	2	yes	—
1322	C₂×C₄²	C₂⁴	1	2	yes	—
1323	C₂×C₄²	C₂⁴	1	2	yes	—
1324	C₂×C₄²	C₂⁴	1	2	yes	—
1325	C₂×C₄²	C₂⁴	1	4	yes	—
1326	C₂×C₄²	C₂⁴	1	4	yes	—
1327	C₂×C₄²	C₂⁴	1	2	yes	—
1328	C₂×C₄²	C₂⁴	1	2	yes	—
1329	C₂×C₄²	C₂⁴	1	4	yes	—
1330	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1331	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1332	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1333	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1334	#95	C₂⁴	1	2	yes	—
1335	#95	C₂⁴	1	2	yes	—
1336	#95	C₂⁴	1	2	yes	—
1337	#95	C₂⁴	1	2	yes	—
1338	#95	C₂⁴	1	4	yes	—
1339	#95	C₂⁴	1	2	yes	—
1340	#95	C₂⁴	1	2	yes	—
1341	#95	C₂⁴	1	4	yes	—
1342	#95	C₂⁴	1	4	yes	—
1343	#95	C₂⁴	1	4	yes	—
1344	#95	C₂⁴	1	2	yes	—
1345	#95	C₂⁴	1	2	yes	—
1346	#95	C₂⁴	1	2	yes	—
1347	#95	C₂⁴	1	2	yes	—
1348	#95	C₂⁴	1	2	yes	—
1349	#95	C₂⁴	1	2	yes	—
1350	#95	C₂⁴	1	2	yes	—
1351	#95	C₂⁴	1	2	yes	—
1352	#95	C₂⁴	1	2	yes	—
1353	#95	C₂⁴	1	2	yes	—
1354	#95	C₂⁴	1	2	yes	—
1355	#95	C₂⁴	1	2	yes	—
1356	#95	C₂⁴	1	4	yes	—
1357	#95	C₂⁴	1	4	yes	—
1358	#95	C₂⁴	1	4	yes	—
1359	#95	C₂⁴	1	4	yes	—
1360	#95	C₂⁴	1	4	yes	—
1361	#95	C₂⁴	1	4	yes	—
1362	#95	C₂⁴	1	4	yes	—
1363	#95	C₂⁴	1	4	yes	—
1364	#95	C₂⁴	1	4	yes	—
1365	#95	C₂⁴	1	4	yes	—
1366	#95	C₂⁴	1	4	yes	—
1367	#95	C₂⁴	1	4	yes	—
1368	#95	C₂⁴	1	4	yes	—
1369	#95	C₂⁴	1	4	yes	—
1370	#95	C₂⁴	1	4	yes	—
1371	#95	C₂⁴	1	4	yes	—
1372	#95	C₂⁴	1	4	yes	—
1373	C₂⁴	—	2	2	no	—
1374	C₂⁴	—	2	4	no	—
1375	C₂⁴	—	2	4	no	—
1376	C₂⁴	—	2	2	no	—
1377	C₂⁴	—	2	4	no	—
1378	C₂⁴	—	2	4	no	—
1379	C₂⁴	—	2	8	no	—
1380	C₂⁴	—	2	8	no	—
1381	C₂⁴	—	2	4	no	—
1382	C₂⁴	—	2	8	no	—
1383	C₂⁴	—	2	8	no	—
1384	C₂⁴	—	2	8	no	—
1385	C₂⁴	—	2	8	no	—
1386	C₂⁴	—	2	8	no	—
1387	C₂⁴	—	2	8	no	—
1388	C₂⁴	—	2	4	no	—
1389	C₂⁴	—	2	4	no	—
1390	C₂⁴	—	2	4	no	—
1391	C₂⁴	—	2	4	no	—
1392	C₂⁴	—	4	4	no	—
1393	C₂⁴	—	4	4	no	—
1394	C₂⁴	—	4	4	no	—
1395	C₂⁴	—	4	4	no	—
1396	C₂⁴	—	4	4	no	—
1397	C₂⁴	—	4	4	no	—
1398	C₂⁴	—	4	4	no	—
1399	C₂⁴	—	4	4	no	—
1400	C₂⁴	—	4	4	no	—
1401	C₂⁴	—	4	4	no	—
1402	C₂⁴	—	4	2	no	—
1403	C₂⁴	—	4	4	no	—
1404	C₂⁴	—	4	4	no	—
1405	C₂⁴	—	4	32	no	—
1406	C₂⁴	—	4	32	no	—
1407	C₂⁴	—	4	32	no	—
1408	C₂⁴	—	8	32	no	—
1409	C₂⁴	—	8	32	no	—
1410	C₂⁴	C₂²×D₄	1	8	yes	—
1411	C₂⁴	C₂×#41	1	4	yes	—
1412	C₂⁴	C₂⁵	1	4	yes	—
1413	C₂⁴	C₂⁵	1	2	yes	—
1414	C₂⁴	C₂⁵	1	1	yes	characteristic
1415	C₂⁴	C₂⁵	1	2	yes	—
1416	C₂⁴	C₂⁵	1	2	yes	—
1417	C₂⁴	C₂⁵	1	1	yes	characteristic
1418	C₂⁴	C₂⁵	1	1	yes	characteristic
1419	C₂⁴	C₂⁵	1	2	yes	—
1420	#41	—	4	16	no	—
1421	#41	—	8	8	no	—
1422	#41	—	8	8	no	—
1423	C₂×Q₈	—	2	2	no	—
1424	C₂×Q₈	—	2	2	no	—
1425	C₂×Q₈	—	2	8	no	—
1426	C₂×Q₈	—	2	8	no	—
1427	C₂×Q₈	—	2	4	no	—
1428	C₂×Q₈	—	2	4	no	—
1429	C₂×Q₈	—	2	4	no	—
1430	C₂×Q₈	—	2	2	no	—
1431	C₂×Q₈	—	2	4	no	—
1432	C₂×Q₈	—	2	4	no	—
1433	C₂×Q₈	—	2	4	no	—
1434	C₂×Q₈	—	2	8	no	—
1435	C₂×Q₈	—	2	4	no	—
1436	C₂×Q₈	—	2	8	no	—
1437	C₂×Q₈	—	2	4	no	—
1438	C₂×Q₈	—	4	4	no	—
1439	C₂×Q₈	—	4	4	no	—
1440	C₂×Q₈	—	4	4	no	—
1441	C₂×Q₈	—	4	4	no	—
1442	C₂×Q₈	—	4	1	no	—
1443	C₂×Q₈	—	4	4	no	—
1444	C₂×Q₈	—	4	16	no	—
1445	C₂×Q₈	—	4	32	no	—
1446	C₂×Q₈	—	4	32	no	—
1447	C₂×Q₈	—	4	32	no	—
1448	C₂×Q₈	—	4	64	no	—
1449	C₂×Q₈	—	4	16	no	—
1450	C₂×Q₈	—	8	8	no	—
1451	C₂×Q₈	C₂²×D₄	1	4	yes	—
1452	C₂×Q₈	C₂²×D₄	1	4	yes	—
1453	C₂×Q₈	C₂²×D₄	1	8	yes	—
1454	C₂×D₄	—	2	2	no	—
1455	C₂×D₄	—	2	4	no	—
1456	C₂×D₄	—	2	4	no	—
1457	C₂×D₄	—	2	2	no	—
1458	C₂×D₄	—	2	2	no	—
1459	C₂×D₄	—	2	4	no	—
1460	C₂×D₄	—	2	4	no	—
1461	C₂×D₄	—	2	4	no	—
1462	C₂×D₄	—	2	8	no	—
1463	C₂×D₄	—	2	8	no	—
1464	C₂×D₄	—	2	4	no	—
1465	C₂×D₄	—	2	4	no	—
1466	C₂×D₄	—	2	4	no	—
1467	C₂×D₄	—	2	8	no	—
1468	C₂×D₄	—	2	2	no	—
1469	C₂×D₄	—	2	2	no	—
1470	C₂×D₄	—	2	4	no	—
1471	C₂×D₄	—	2	8	no	—
1472	C₂×D₄	—	2	4	no	—
1473	C₂×D₄	—	2	8	no	—
1474	C₂×D₄	—	2	2	no	—
1475	C₂×D₄	—	2	4	no	—
1476	C₂×D₄	—	2	4	no	—
1477	C₂×D₄	—	2	4	no	—
1478	C₂×D₄	—	2	4	no	—
1479	C₂×D₄	—	2	4	no	—
1480	C₂×D₄	—	2	8	no	—
1481	C₂×D₄	—	2	2	no	—
1482	C₂×D₄	—	2	2	no	—
1483	C₂×D₄	—	2	4	no	—
1484	C₂×D₄	—	2	4	no	—
1485	C₂×D₄	—	2	4	no	—
1486	C₂×D₄	—	2	4	no	—
1487	C₂×D₄	—	2	8	no	—
1488	C₂×D₄	—	2	4	no	—
1489	C₂×D₄	—	2	4	no	—
1490	C₂×D₄	—	2	8	no	—
1491	C₂×D₄	—	2	4	no	—
1492	C₂×D₄	—	2	8	no	—
1493	C₂×D₄	—	2	4	no	—
1494	C₂×D₄	—	2	4	no	—
1495	C₂×D₄	—	4	16	no	—
1496	C₂×D₄	—	4	32	no	—
1497	C₂×D₄	—	4	32	no	—
1498	C₂×D₄	—	4	4	no	—
1499	C₂×D₄	—	4	4	no	—
1500	C₂×D₄	—	4	4	no	—
1501	C₂×D₄	—	4	4	no	—
1502	C₂×D₄	—	4	2	no	—
1503	C₂×D₄	—	4	2	no	—
1504	C₂×D₄	—	4	1	no	—
1505	C₂×D₄	—	4	64	no	—
1506	C₂×D₄	—	4	32	no	—
1507	C₂×D₄	—	4	16	no	—
1508	C₂×D₄	—	4	4	no	—
1509	C₂×D₄	—	4	4	no	—
1510	C₂×D₄	—	4	4	no	—
1511	C₂×D₄	—	4	4	no	—
1512	C₂×D₄	—	4	4	no	—
1513	C₂×D₄	—	4	4	no	—
1514	C₂×D₄	—	4	4	no	—
1515	C₂×D₄	—	4	4	no	—
1516	C₂×D₄	—	4	4	no	—
1517	C₂×D₄	—	4	4	no	—
1518	C₂×D₄	—	4	4	no	—
1519	C₂×D₄	—	4	4	no	—
1520	C₂×D₄	—	4	4	no	—
1521	C₂×D₄	—	4	4	no	—
1522	C₂×D₄	—	4	4	no	—
1523	C₂×D₄	—	4	32	no	—
1524	C₂×D₄	—	8	8	no	—
1525	C₂×D₄	—	8	32	no	—
1526	C₂×D₄	C₂²×D₄	1	4	yes	—
1527	C₂×D₄	C₂²×D₄	1	4	yes	—
1528	C₂×D₄	C₂²×D₄	1	8	yes	—
1529	C₂×D₄	C₂×#41	1	8	yes	—
1530	C₂×D₄	C₂×#41	1	4	yes	—
1531	C₂²×C₄	—	2	32	no	—
1532	C₂²×C₄	—	2	2	no	—
1533	C₂²×C₄	—	2	2	no	—
1534	C₂²×C₄	—	2	4	no	—
1535	C₂²×C₄	—	2	2	no	—
1536	C₂²×C₄	—	2	4	no	—
1537	C₂²×C₄	—	2	4	no	—
1538	C₂²×C₄	—	2	4	no	—
1539	C₂²×C₄	—	2	4	no	—
1540	C₂²×C₄	—	2	4	no	—
1541	C₂²×C₄	—	2	4	no	—
1542	C₂²×C₄	—	2	2	no	—
1543	C₂²×C₄	—	2	2	no	—
1544	C₂²×C₄	—	2	4	no	—
1545	C₂²×C₄	—	2	4	no	—
1546	C₂²×C₄	—	2	4	no	—
1547	C₂²×C₄	—	2	2	no	—
1548	C₂²×C₄	—	2	4	no	—
1549	C₂²×C₄	—	2	2	no	—
1550	C₂²×C₄	—	2	8	no	—
1551	C₂²×C₄	—	2	8	no	—
1552	C₂²×C₄	—	2	4	no	—
1553	C₂²×C₄	—	2	4	no	—
1554	C₂²×C₄	—	2	2	no	—
1555	C₂²×C₄	—	2	4	no	—
1556	C₂²×C₄	—	2	4	no	—
1557	C₂²×C₄	—	2	4	no	—
1558	C₂²×C₄	—	2	4	no	—
1559	C₂²×C₄	—	2	4	no	—
1560	C₂²×C₄	—	2	4	no	—
1561	C₂²×C₄	—	2	2	no	—
1562	C₂²×C₄	—	2	2	no	—
1563	C₂²×C₄	—	2	2	no	—
1564	C₂²×C₄	—	2	2	no	—
1565	C₂²×C₄	—	2	8	no	—
1566	C₂²×C₄	—	2	8	no	—
1567	C₂²×C₄	—	2	4	no	—
1568	C₂²×C₄	—	2	2	no	—
1569	C₂²×C₄	—	2	4	no	—
1570	C₂²×C₄	—	2	4	no	—
1571	C₂²×C₄	—	2	2	no	—
1572	C₂²×C₄	—	2	2	no	—
1573	C₂²×C₄	—	2	4	no	—
1574	C₂²×C₄	—	2	4	no	—
1575	C₂²×C₄	—	2	4	no	—
1576	C₂²×C₄	—	2	8	no	—
1577	C₂²×C₄	—	4	2	no	—
1578	C₂²×C₄	—	4	2	no	—
1579	C₂²×C₄	—	4	2	no	—
1580	C₂²×C₄	—	4	2	no	—
1581	C₂²×C₄	—	4	2	no	—
1582	C₂²×C₄	—	4	2	no	—
1583	C₂²×C₄	—	4	4	no	—
1584	C₂²×C₄	—	4	4	no	—
1585	C₂²×C₄	—	4	4	no	—
1586	C₂²×C₄	—	4	4	no	—
1587	C₂²×C₄	—	4	2	no	—
1588	C₂²×C₄	—	4	1	no	—
1589	C₂²×C₄	—	4	1	no	—
1590	C₂²×C₄	—	4	4	no	—
1591	C₂²×C₄	—	4	4	no	—
1592	C₂²×C₄	—	4	4	no	—
1593	C₂²×C₄	—	4	4	no	—
1594	C₂²×C₄	—	4	4	no	—
1595	C₂²×C₄	—	4	2	no	—
1596	C₂²×C₄	—	4	4	no	—
1597	C₂²×C₄	—	4	2	no	—
1598	C₂²×C₄	—	4	4	no	—
1599	C₂²×C₄	—	4	4	no	—
1600	C₂²×C₄	—	4	4	no	—
1601	C₂²×C₄	—	4	4	no	—
1602	C₂²×C₄	—	4	16	no	—
1603	C₂²×C₄	—	4	16	no	—
1604	C₂²×C₄	—	4	32	no	—
1605	C₂²×C₄	C₂²×D₄	1	4	yes	—
1606	C₂²×C₄	C₂²×D₄	1	4	yes	—
1607	C₂²×C₄	C₂²×D₄	1	4	yes	—
1608	C₂²×C₄	C₂²×D₄	1	8	yes	—
1609	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
1610	C₂²×C₄	C₂⁵	1	4	yes	—
1611	C₂²×C₄	C₂⁵	1	2	yes	—
1612	C₂²×C₄	C₂⁵	1	2	yes	—
1613	C₂²×C₄	C₂⁵	1	4	yes	—
1614	C₂²×C₄	C₂⁵	1	2	yes	—
1615	C₂²×C₄	C₂⁵	1	2	yes	—
1616	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1617	C₂²×C₄	C₂⁵	1	2	yes	—
1618	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1619	C₂²×C₄	C₂⁵	1	2	yes	—
1620	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1621	C₂²×C₄	C₂⁵	1	2	yes	—
1622	C₂²×C₄	C₂⁵	1	4	yes	—
1623	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1624	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1625	C₂²×C₄	C₂⁵	1	2	yes	—
1626	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1627	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1628	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1629	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1630	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1631	C₂²×C₄	C₂⁵	1	2	yes	—
1632	C₂²×C₄	C₂⁵	1	2	yes	—
1633	C₂²×C₄	C₂⁵	1	2	yes	—
1634	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1635	C₂²×C₄	C₂⁵	1	2	yes	—
1636	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1637	C₄⋊C₄	—	2	2	no	—
1638	C₄⋊C₄	—	2	4	no	—
1639	C₄⋊C₄	—	2	4	no	—
1640	C₄⋊C₄	—	2	4	no	—
1641	C₄⋊C₄	—	2	4	no	—
1642	C₄⋊C₄	—	2	2	no	—
1643	C₄⋊C₄	—	2	2	no	—
1644	C₄⋊C₄	—	2	2	no	—
1645	C₄⋊C₄	—	2	2	no	—
1646	C₄⋊C₄	—	2	2	no	—
1647	C₄⋊C₄	—	2	4	no	—
1648	C₄⋊C₄	—	2	4	no	—
1649	C₄⋊C₄	—	2	2	no	—
1650	C₄⋊C₄	—	2	2	no	—
1651	C₄⋊C₄	—	2	4	no	—
1652	C₄⋊C₄	—	2	4	no	—
1653	C₄⋊C₄	—	2	4	no	—
1654	C₄⋊C₄	—	2	4	no	—
1655	C₄⋊C₄	—	2	4	no	—
1656	C₄⋊C₄	—	2	4	no	—
1657	C₄⋊C₄	—	2	4	no	—
1658	C₄⋊C₄	—	2	4	no	—
1659	C₄⋊C₄	—	2	4	no	—
1660	C₄⋊C₄	—	2	4	no	—
1661	C₄⋊C₄	—	2	4	no	—
1662	C₄⋊C₄	—	2	8	no	—
1663	C₄⋊C₄	—	4	2	no	—
1664	C₄⋊C₄	—	4	2	no	—
1665	C₄⋊C₄	—	4	2	no	—
1666	C₄⋊C₄	—	4	4	no	—
1667	C₄⋊C₄	—	4	4	no	—
1668	C₄⋊C₄	—	4	4	no	—
1669	C₄⋊C₄	—	4	4	no	—
1670	C₄⋊C₄	—	4	4	no	—
1671	C₄⋊C₄	—	4	4	no	—
1672	C₄⋊C₄	—	4	4	no	—
1673	C₄⋊C₄	—	4	4	no	—
1674	C₂²⋊C₄	—	2	8	no	—
1675	C₂²⋊C₄	—	2	8	no	—
1676	C₂²⋊C₄	—	2	8	no	—
1677	C₂²⋊C₄	—	2	8	no	—
1678	C₂²⋊C₄	—	2	2	no	—
1679	C₂²⋊C₄	—	2	4	no	—
1680	C₂²⋊C₄	—	2	4	no	—
1681	C₂²⋊C₄	—	2	4	no	—
1682	C₂²⋊C₄	—	2	4	no	—
1683	C₂²⋊C₄	—	2	2	no	—
1684	C₂²⋊C₄	—	2	4	no	—
1685	C₂²⋊C₄	—	2	4	no	—
1686	C₂²⋊C₄	—	2	4	no	—
1687	C₂²⋊C₄	—	2	4	no	—
1688	C₂²⋊C₄	—	2	8	no	—
1689	C₂²⋊C₄	—	2	2	no	—
1690	C₂²⋊C₄	—	2	4	no	—
1691	C₂²⋊C₄	—	2	4	no	—
1692	C₂²⋊C₄	—	2	4	no	—
1693	C₂²⋊C₄	—	2	8	no	—
1694	C₂²⋊C₄	—	2	4	no	—
1695	C₂²⋊C₄	—	2	2	no	—
1696	C₂²⋊C₄	—	2	4	no	—
1697	C₂²⋊C₄	—	2	8	no	—
1698	C₂²⋊C₄	—	2	4	no	—
1699	C₂²⋊C₄	—	2	2	no	—
1700	C₂²⋊C₄	—	2	4	no	—
1701	C₂²⋊C₄	—	2	8	no	—
1702	C₂²⋊C₄	—	2	8	no	—
1703	C₂²⋊C₄	—	2	8	no	—
1704	C₂²⋊C₄	—	2	8	no	—
1705	C₂²⋊C₄	—	2	8	no	—
1706	C₂²⋊C₄	—	2	8	no	—
1707	C₂²⋊C₄	—	2	8	no	—
1708	C₂²⋊C₄	—	2	8	no	—
1709	C₂²⋊C₄	—	2	2	no	—
1710	C₂²⋊C₄	—	2	4	no	—
1711	C₂²⋊C₄	—	2	4	no	—
1712	C₂²⋊C₄	—	2	4	no	—
1713	C₂²⋊C₄	—	2	4	no	—
1714	C₂²⋊C₄	—	2	4	no	—
1715	C₂²⋊C₄	—	2	2	no	—
1716	C₂²⋊C₄	—	2	2	no	—
1717	C₂²⋊C₄	—	2	2	no	—
1718	C₂²⋊C₄	—	2	4	no	—
1719	C₂²⋊C₄	—	2	4	no	—
1720	C₂²⋊C₄	—	2	4	no	—
1721	C₂²⋊C₄	—	2	8	no	—
1722	C₂²⋊C₄	—	2	8	no	—
1723	C₂²⋊C₄	—	2	8	no	—
1724	C₂²⋊C₄	—	2	4	no	—
1725	C₂²⋊C₄	—	2	4	no	—
1726	C₂²⋊C₄	—	2	4	no	—
1727	C₂²⋊C₄	—	2	8	no	—
1728	C₂²⋊C₄	—	4	4	no	—
1729	C₂²⋊C₄	—	4	4	no	—
1730	C₂²⋊C₄	—	4	4	no	—
1731	C₂²⋊C₄	—	4	4	no	—
1732	C₂²⋊C₄	—	4	4	no	—
1733	C₂²⋊C₄	—	4	2	no	—
1734	C₂²⋊C₄	—	4	4	no	—
1735	C₂²⋊C₄	—	4	2	no	—
1736	C₂²⋊C₄	—	4	4	no	—
1737	C₂²⋊C₄	—	4	4	no	—
1738	C₂²⋊C₄	—	4	4	no	—
1739	C₂²⋊C₄	—	4	4	no	—
1740	C₂²⋊C₄	—	4	4	no	—
1741	C₂²⋊C₄	—	4	4	no	—
1742	C₂²⋊C₄	—	4	4	no	—
1743	C₂²⋊C₄	—	4	4	no	—
1744	C₂²⋊C₄	—	4	4	no	—
1745	C₂²⋊C₄	—	4	4	no	—
1746	C₂²⋊C₄	—	4	4	no	—
1747	C₂²⋊C₄	—	4	4	no	—
1748	C₂²⋊C₄	—	4	4	no	—
1749	C₂²⋊C₄	—	4	4	no	—
1750	C₂²⋊C₄	—	4	4	no	—
1751	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1752	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1753	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1754	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1755	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1756	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1757	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1758	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1759	C₂²⋊C₄	C₂×#41	1	4	yes	—
1760	C₂²⋊C₄	C₂×#41	1	8	yes	—
1761	C₄²	—	2	4	no	—
1762	C₄²	—	2	4	no	—
1763	C₄²	—	2	4	no	—
1764	C₄²	—	2	4	no	—
1765	C₄²	—	2	4	no	—
1766	C₄²	—	2	4	no	—
1767	C₄²	—	2	2	no	—
1768	C₄²	—	2	2	no	—
1769	C₄²	—	2	2	no	—
1770	C₄²	—	2	2	no	—
1771	C₄²	—	2	2	no	—
1772	C₄²	—	2	2	no	—
1773	C₄²	—	2	4	no	—
1774	C₄²	—	2	4	no	—
1775	C₄²	—	2	4	no	—
1776	C₄²	—	2	4	no	—
1777	C₄²	—	2	4	no	—
1778	C₄²	—	2	4	no	—
1779	C₄²	—	4	2	no	—
1780	C₄²	—	4	2	no	—
1781	C₄²	—	4	4	no	—
1782	C₄²	—	4	2	no	—
1783	C₄²	—	4	4	no	—
1784	C₄²	—	4	4	no	—
1785	C₄²	C₂²×D₄	1	4	yes	—
1786	C₄²	C₂²×D₄	1	4	yes	—
1787	C₄²	C₂²×D₄	1	4	yes	—
1788	C₄²	C₂²×D₄	1	4	yes	—
1789	C₂³	—	2	8	no	—
1790	C₂³	—	2	8	no	—
1791	C₂³	—	2	16	no	—
1792	C₂³	—	2	2	no	—
1793	C₂³	—	2	2	no	—
1794	C₂³	—	2	2	no	—
1795	C₂³	—	2	2	no	—
1796	C₂³	—	2	2	no	—
1797	C₂³	—	2	2	no	—
1798	C₂³	—	2	8	no	—
1799	C₂³	—	2	16	no	—
1800	C₂³	—	2	1	no	—
1801	C₂³	—	2	2	no	—
1802	C₂³	—	2	2	no	—
1803	C₂³	—	2	2	no	—
1804	C₂³	—	2	4	no	—
1805	C₂³	—	2	4	no	—
1806	C₂³	—	2	2	no	—
1807	C₂³	—	2	4	no	—
1808	C₂³	—	2	2	no	—
1809	C₂³	—	2	4	no	—
1810	C₂³	—	2	2	no	—
1811	C₂³	—	2	1	no	—
1812	C₂³	—	2	16	no	—
1813	C₂³	—	2	4	no	—
1814	C₂³	—	2	2	no	—
1815	C₂³	—	2	1	no	—
1816	C₂³	—	2	1	no	—
1817	C₂³	—	2	4	no	—
1818	C₂³	—	2	2	no	—
1819	C₂³	—	2	2	no	—
1820	C₂³	—	2	4	no	—
1821	C₂³	—	2	4	no	—
1822	C₂³	—	2	4	no	—
1823	C₂³	—	2	4	no	—
1824	C₂³	—	2	2	no	—
1825	C₂³	—	2	4	no	—
1826	C₂³	—	2	2	no	—
1827	C₂³	—	2	4	no	—
1828	C₂³	—	2	4	no	—
1829	C₂³	—	2	1	no	—
1830	C₂³	—	4	8	no	—
1831	C₂³	—	4	8	no	—
1832	C₂³	—	4	16	no	—
1833	C₂³	—	4	16	no	—
1834	C₂³	—	4	16	no	—
1835	C₂³	—	4	16	no	—
1836	C₂³	—	4	16	no	—
1837	C₂³	—	4	16	no	—
1838	C₂³	—	4	8	no	—
1839	C₂³	—	4	8	no	—
1840	C₂³	—	4	8	no	—
1841	C₂³	—	4	8	no	—
1842	C₂³	—	4	16	no	—
1843	C₂³	—	4	16	no	—
1844	C₂³	—	8	8	no	—
1845	C₂³	—	8	8	no	—
1846	C₂³	—	8	8	no	—
1847	C₂³	—	8	8	no	—
1848	C₂³	—	8	8	no	—
1849	C₂³	—	8	8	no	—
1850	C₂³	—	8	8	no	—
1851	C₂³	—	8	8	no	—
1852	C₂³	—	8	8	no	—
1853	C₂³	—	8	8	no	—
1854	C₂³	—	8	4	no	—
1855	C₂³	—	8	8	no	—
1856	C₂³	—	8	4	no	—
1857	C₂³	—	8	128	no	—
1858	C₂³	—	16	4	no	—
1859	C₂³	C₂³×D₄	1	4	yes	—
1860	C₂³	C₂³×D₄	1	4	yes	—
1861	C₂³	C₂³×D₄	1	2	yes	—
1862	C₂³	C₂²×#41	1	2	yes	—
1863	C₂³	C₂²×#41	1	2	yes	—
1864	C₂³	C₂²×#41	1	4	yes	—
1865	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1866	C₂³	#585	1	2	yes	—
1867	C₂³	#585	1	4	yes	—
1868	C₂³	C₂⁶	1	1	yes	characteristic
1869	Q₈	—	2	8	no	—
1870	Q₈	—	2	8	no	—
1871	Q₈	—	4	8	no	—
1872	Q₈	—	4	16	no	—
1873	Q₈	—	4	16	no	—
1874	Q₈	—	4	4	no	—
1875	Q₈	—	4	8	no	—
1876	Q₈	—	4	8	no	—
1877	Q₈	—	4	4	no	—
1878	Q₈	—	8	4	no	—
1879	D₄	—	2	8	no	—
1880	D₄	—	2	16	no	—
1881	D₄	—	2	8	no	—
1882	D₄	—	2	8	no	—
1883	D₄	—	4	8	no	—
1884	D₄	—	4	8	no	—
1885	D₄	—	4	16	no	—
1886	D₄	—	4	16	no	—
1887	D₄	—	4	4	no	—
1888	D₄	—	4	8	no	—
1889	D₄	—	4	8	no	—
1890	D₄	—	4	8	no	—
1891	D₄	—	4	4	no	—
1892	D₄	—	4	8	no	—
1893	D₄	—	4	16	no	—
1894	D₄	—	4	8	no	—
1895	D₄	—	4	4	no	—
1896	D₄	—	8	8	no	—
1897	D₄	—	8	4	no	—
1898	D₄	—	8	4	no	—
1899	D₄	—	8	4	no	—
1900	D₄	—	8	4	no	—
1901	D₄	—	8	8	no	—
1902	D₄	—	8	4	no	—
1903	D₄	—	16	4	no	—
1904	D₄	—	16	4	no	—
1905	C₂×C₄	—	2	16	no	—
1906	C₂×C₄	—	2	8	no	—
1907	C₂×C₄	—	2	1	no	—
1908	C₂×C₄	—	2	2	no	—
1909	C₂×C₄	—	2	1	no	—
1910	C₂×C₄	—	2	1	no	—
1911	C₂×C₄	—	2	2	no	—
1912	C₂×C₄	—	2	4	no	—
1913	C₂×C₄	—	2	4	no	—
1914	C₂×C₄	—	2	2	no	—
1915	C₂×C₄	—	2	2	no	—
1916	C₂×C₄	—	2	2	no	—
1917	C₂×C₄	—	2	2	no	—
1918	C₂×C₄	—	2	1	no	—
1919	C₂×C₄	—	2	2	no	—
1920	C₂×C₄	—	2	1	no	—
1921	C₂×C₄	—	2	1	no	—
1922	C₂×C₄	—	2	8	no	—
1923	C₂×C₄	—	2	8	no	—
1924	C₂×C₄	—	2	16	no	—
1925	C₂×C₄	—	2	2	no	—
1926	C₂×C₄	—	2	2	no	—
1927	C₂×C₄	—	2	1	no	—
1928	C₂×C₄	—	2	1	no	—
1929	C₂×C₄	—	2	1	no	—
1930	C₂×C₄	—	2	2	no	—
1931	C₂×C₄	—	2	1	no	—
1932	C₂×C₄	—	2	1	no	—
1933	C₂×C₄	—	2	2	no	—
1934	C₂×C₄	—	2	2	no	—
1935	C₂×C₄	—	2	4	no	—
1936	C₂×C₄	—	2	2	no	—
1937	C₂×C₄	—	2	4	no	—
1938	C₂×C₄	—	2	2	no	—
1939	C₂×C₄	—	2	2	no	—
1940	C₂×C₄	—	2	1	no	—
1941	C₂×C₄	—	2	2	no	—
1942	C₂×C₄	—	2	2	no	—
1943	C₂×C₄	—	2	2	no	—
1944	C₂×C₄	—	2	4	no	—
1945	C₂×C₄	—	2	4	no	—
1946	C₂×C₄	—	2	2	no	—
1947	C₂×C₄	—	2	2	no	—
1948	C₂×C₄	—	2	4	no	—
1949	C₂×C₄	—	2	4	no	—
1950	C₂×C₄	—	2	4	no	—
1951	C₂×C₄	—	2	2	no	—
1952	C₂×C₄	—	2	4	no	—
1953	C₂×C₄	—	2	2	no	—
1954	C₂×C₄	—	2	2	no	—
1955	C₂×C₄	—	2	2	no	—
1956	C₂×C₄	—	2	2	no	—
1957	C₂×C₄	—	2	4	no	—
1958	C₂×C₄	—	2	4	no	—
1959	C₂×C₄	—	2	2	no	—
1960	C₂×C₄	—	2	4	no	—
1961	C₂×C₄	—	2	2	no	—
1962	C₂×C₄	—	2	1	no	—
1963	C₂×C₄	—	2	2	no	—
1964	C₂×C₄	—	2	2	no	—
1965	C₂×C₄	—	2	2	no	—
1966	C₂×C₄	—	2	2	no	—
1967	C₂×C₄	—	4	4	no	—
1968	C₂×C₄	—	4	8	no	—
1969	C₂×C₄	—	4	4	no	—
1970	C₂×C₄	—	4	8	no	—
1971	C₂×C₄	—	4	8	no	—
1972	C₂×C₄	—	4	8	no	—
1973	C₂×C₄	—	4	8	no	—
1974	C₂×C₄	—	4	16	no	—
1975	C₂×C₄	—	4	16	no	—
1976	C₂×C₄	—	4	8	no	—
1977	C₂×C₄	—	4	4	no	—
1978	C₂×C₄	—	4	4	no	—
1979	C₂×C₄	—	4	8	no	—
1980	C₂×C₄	—	4	4	no	—
1981	C₂×C₄	—	4	4	no	—
1982	C₂×C₄	—	4	4	no	—
1983	C₂×C₄	—	8	2	no	—
1984	C₂×C₄	—	8	4	no	—
1985	C₂×C₄	—	8	2	no	—
1986	C₂×C₄	—	8	8	no	—
1987	C₂×C₄	—	8	4	no	—
1988	C₂×C₄	—	8	4	no	—
1989	C₂×C₄	—	8	4	no	—
1990	C₂×C₄	—	8	4	no	—
1991	C₂×C₄	—	16	4	no	—
1992	C₂×C₄	C₂³×D₄	1	2	yes	—
1993	C₂×C₄	C₂³×D₄	1	2	yes	—
1994	C₂×C₄	C₂³×D₄	1	2	yes	—
1995	C₂×C₄	C₂³×D₄	1	2	yes	—
1996	C₂×C₄	C₂³×D₄	1	2	yes	—
1997	C₂×C₄	C₂³×D₄	1	4	yes	—
1998	C₂×C₄	C₂³×D₄	1	4	yes	—
1999	C₂×C₄	C₂³×D₄	1	2	yes	—
2000	C₂×C₄	C₂²×#41	1	4	yes	—
2001	C₂×C₄	C₂²×#41	1	2	yes	—
2002	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2003	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2004	C₂²	—	2	32	no	—
2005	C₂²	—	2	2	no	—
2006	C₂²	—	2	4	no	—
2007	C₂²	—	2	4	no	—
2008	C₂²	—	2	4	no	—
2009	C₂²	—	2	2	no	—
2010	C₂²	—	2	4	no	—
2011	C₂²	—	2	4	no	—
2012	C₂²	—	2	4	no	—
2013	C₂²	—	2	4	no	—
2014	C₂²	—	2	4	no	—
2015	C₂²	—	2	4	no	—
2016	C₂²	—	2	4	no	—
2017	C₂²	—	2	4	no	—
2018	C₂²	—	2	4	no	—
2019	C₂²	—	2	4	no	—
2020	C₂²	—	2	2	no	—
2021	C₂²	—	2	4	no	—
2022	C₂²	—	2	4	no	—
2023	C₂²	—	4	1	no	—
2024	C₂²	—	4	4	no	—
2025	C₂²	—	4	4	no	—
2026	C₂²	—	4	1	no	—
2027	C₂²	—	4	4	no	—
2028	C₂²	—	4	4	no	—
2029	C₂²	—	4	2	no	—
2030	C₂²	—	4	1	no	—
2031	C₂²	—	4	2	no	—
2032	C₂²	—	4	4	no	—
2033	C₂²	—	4	4	no	—
2034	C₂²	—	4	2	no	—
2035	C₂²	—	4	4	no	—
2036	C₂²	—	4	4	no	—
2037	C₂²	—	4	1	no	—
2038	C₂²	—	4	2	no	—
2039	C₂²	—	4	4	no	—
2040	C₂²	—	4	2	no	—
2041	C₂²	—	4	4	no	—
2042	C₂²	—	4	4	no	—
2043	C₂²	—	4	4	no	—
2044	C₂²	—	4	1	no	—
2045	C₂²	—	4	2	no	—
2046	C₂²	—	4	4	no	—
2047	C₂²	—	8	16	no	—
2048	C₂²	—	8	32	no	—
2049	C₂²	—	8	32	no	—
2050	C₂²	—	8	16	no	—
2051	C₂²	—	16	8	no	—
2052	C₂²	D₄×#41	1	4	yes	—
2053	C₂²	#3514	1	8	yes	complemented
2054	C₂²	C₂⁴×D₄	1	1	yes	characteristic
2055	C₂²	C₂³×#41	1	1	yes	characteristic
2056	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
2057	C₂²	C₂×#585	1	2	yes	—
2058	C₂²	C₂×#585	1	1	yes	characteristic
2059	C₄	—	2	2	no	—
2060	C₄	—	2	4	no	—
2061	C₄	—	2	4	no	—
2062	C₄	—	2	4	no	—
2063	C₄	—	2	4	no	—
2064	C₄	—	2	2	no	—
2065	C₄	—	2	2	no	—
2066	C₄	—	2	2	no	—
2067	C₄	—	2	2	no	—
2068	C₄	—	2	2	no	—
2069	C₄	—	4	4	no	—
2070	C₄	—	4	1	no	—
2071	C₄	—	4	1	no	—
2072	C₄	—	4	2	no	—
2073	C₄	—	4	4	no	—
2074	C₄	—	4	2	no	—
2075	C₄	—	4	2	no	—
2076	C₄	—	4	1	no	—
2077	C₄	—	4	2	no	—
2078	C₄	—	4	1	no	—
2079	C₄	—	4	2	no	—
2080	C₄	—	4	4	no	—
2081	C₄	—	4	2	no	—
2082	C₄	—	4	2	no	—
2083	C₄	—	4	2	no	—
2084	C₄	—	4	1	no	—
2085	C₄	#3484	1	4	yes	—
2086	C₂	—	2	4	no	—
2087	C₂	—	2	8	no	—
2088	C₂	—	4	4	no	—
2089	C₂	—	4	4	no	—
2090	C₂	—	4	2	no	—
2091	C₂	—	8	1	no	—
2092	C₂	—	8	4	no	—
2093	C₂	—	8	2	no	—
2094	C₂	C₂×D₄×#41	1	1	yes	characteristic
2095	C₂	C₂×#3484	1	1	yes	characteristic
2096	C₂	C₂×#3514	1	2	yes	—
2097	C₂	#62811	1	1	yes	characteristic
2098	C₂	#62824	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×#3514	C₂	semidirect
2. C₂³×#124	C₂	semidirect
3. #59162	C₂	semidirect
4. #59160	C₂	semidirect
5. #59148	C₂	semidirect
6. #59147	C₂	semidirect
7. #59131	C₂	semidirect
8. #59130	C₂	semidirect
9. #39135	C₂	semidirect
10. #39123	C₂	semidirect
11. #38918	C₂	semidirect
12. #38906	C₂	semidirect
13. #38044	C₂	semidirect
14. #38028	C₂	semidirect
15. #37718	C₂	semidirect
16. #37716	C₂	semidirect
17. #36621	C₂	semidirect
18. #36575	C₂	semidirect
19. Q₈×#120	C₂	semidirect
20. #36158	C₂	semidirect
21. #36152	C₂	semidirect
22. #36124	C₂	semidirect
23. #36111	C₂	semidirect
24. #36111	C₂	semidirect
25. D₄×#124	C₂	semidirect
26. #36098	C₂	semidirect
27. D₄×#120	C₂	semidirect
28. #35466	C₂	semidirect
29. #35451	C₂	semidirect
30. #35131	C₂	semidirect
31. #35129	C₂	semidirect
32. #34988	C₂	semidirect
33. #34240	C₂	semidirect
34. #34198	C₂	semidirect
35. C₄×#525	C₂	semidirect
36. C₂⁴×Q₈	C₂²	semidirect
39. C₂×#559	C₂²	semidirect
40. C₂×#556	C₂²	semidirect
41. C₂×#555	C₂²	semidirect
42. C₂×#551	C₂²	semidirect
43. C₂×#551	C₂²	semidirect
44. C₂×D₄×Q₈	C₂²	semidirect
45. C₂×D₄×Q₈	C₂²	semidirect
46. C₂×#548	C₂²	semidirect
47. C₂×#548	C₂²	semidirect
48. C₂×#548	C₂²	semidirect
50. C₂×#546	C₂²	semidirect
51. C₂×#546	C₂²	semidirect
52. C₂×#546	C₂²	semidirect
55. C₂×#542	C₂²	semidirect
56. C₂×#538	C₂²	semidirect
57. C₂×#538	C₂²	semidirect
58. C₂×#532	C₂²	semidirect
59. C₂×#529	C₂²	semidirect
60. C₂×#529	C₂²	semidirect
61. C₂×#529	C₂²	semidirect
67. C₂²×#124	C₂²	semidirect
68. C₂²×#124	C₂²	semidirect
69. C₂²×#124	C₂²	semidirect
70. C₂²×#124	C₂²	semidirect
71. C₂²×#124	C₂²	semidirect
72. C₂²×#124	C₂²	semidirect
73. C₂²×#124	C₂²	semidirect
74. C₂²×#124	C₂²	semidirect
75. C₂²×#124	C₂²	semidirect
78. C₂×#518	C₂²	semidirect
79. C₂×C₄×#41	C₂²	semidirect
80. C₂³×C₂²⋊C₄	C₂²	semidirect
81. C₂³×C₂²⋊C₄	C₂²	semidirect
82. C₂³×C₄²	C₂²	semidirect
83. #2861	C₂²	semidirect
84. #2858	C₂²	semidirect
85. #2855	C₂²	semidirect
86. #2854	C₂²	semidirect
87. #2853	C₂²	semidirect
88. #2852	C₂²	semidirect
89. #2851	C₂²	semidirect
90. #2850	C₂²	semidirect
91. #2850	C₂²	semidirect
92. #2850	C₂²	semidirect
93. #2849	C₂²	semidirect
94. #2848	C₂²	semidirect
95. #2848	C₂²	semidirect
97. #2847	C₂²	semidirect
99. #2846	C₂²	semidirect
100. #2733	C₂²	semidirect
101. #2731	C₂²	semidirect
102. #2730	C₂²	semidirect
103. #2730	C₂²	semidirect
104. #2717	C₂²	semidirect
105. #2715	C₂²	semidirect
106. #2712	C₂²	semidirect
107. #2710	C₂²	semidirect
108. #2700	C₂²	semidirect
109. #2686	C₂²	semidirect
110. #2686	C₂²	semidirect
111. #2684	C₂²	semidirect
112. #2676	C₂²	semidirect
113. #2674	C₂²	semidirect
114. #2672	C₂²	semidirect
115. #2670	C₂²	semidirect
116. #2662	C₂²	semidirect
117. #2632	C₂²	semidirect
118. #2631	C₂²	semidirect
119. #2626	C₂²	semidirect
120. #2622	C₂²	semidirect
121. #2622	C₂²	semidirect
122. #2617	C₂²	semidirect
123. #2610	C₂²	semidirect
124. #2610	C₂²	semidirect
125. #2610	C₂²	semidirect
126. #2592	C₂²	semidirect
127. #2561	C₂²	semidirect
128. #2557	C₂²	semidirect
129. #2557	C₂²	semidirect
130. #2557	C₂²	semidirect
131. #2555	C₂²	semidirect
132. #2555	C₂²	semidirect
133. #2555	C₂²	semidirect
134. #2548	C₂²	semidirect
135. #2547	C₂²	semidirect
136. #2545	C₂²	semidirect
137. #2545	C₂²	semidirect
138. #2544	C₂²	semidirect
139. #2544	C₂²	semidirect
140. #2540	C₂²	semidirect
141. #2539	C₂²	semidirect
142. #2534	C₂²	semidirect
143. #2534	C₂²	semidirect
144. #2521	C₂²	semidirect
145. #2521	C₂²	semidirect
146. #2521	C₂²	semidirect
147. #2491	C₂²	semidirect
148. #2491	C₂²	semidirect
149. #2491	C₂²	semidirect
150. #2483	C₂²	semidirect
151. #2482	C₂²	semidirect
152. #2480	C₂²	semidirect
153. #2480	C₂²	semidirect
154. #2480	C₂²	semidirect
155. #2480	C₂²	semidirect
156. #2474	C₂²	semidirect
157. #2474	C₂²	semidirect
158. #2474	C₂²	semidirect
159. #2472	C₂²	semidirect
160. #2472	C₂²	semidirect
161. #2472	C₂²	semidirect
162. #2472	C₂²	semidirect
163. #2472	C₂²	semidirect
164. #2472	C₂²	semidirect
165. #2472	C₂²	semidirect
166. #2461	C₂²	semidirect
167. #2461	C₂²	semidirect
168. #2461	C₂²	semidirect
169. #2459	C₂²	semidirect
170. #2459	C₂²	semidirect
171. #2459	C₂²	semidirect
172. #2448	C₂²	semidirect
173. #2448	C₂²	semidirect
174. #2447	C₂²	semidirect
175. #2447	C₂²	semidirect
176. #2437	C₂²	semidirect
177. #2437	C₂²	semidirect
178. #2436	C₂²	semidirect
179. #2436	C₂²	semidirect
180. #2436	C₂²	semidirect
181. #2436	C₂²	semidirect
182. #2436	C₂²	semidirect
184. #2435	C₂²	semidirect
185. #2435	C₂²	semidirect
186. #2434	C₂²	semidirect
187. #2434	C₂²	semidirect
188. #2434	C₂²	semidirect
189. #2434	C₂²	semidirect
192. #2432	C₂²	semidirect
193. #2431	C₂²	semidirect
194. #2427	C₂²	semidirect
195. #2427	C₂²	semidirect
196. #2426	C₂²	semidirect
197. #2426	C₂²	semidirect
198. #2424	C₂²	semidirect
199. #2424	C₂²	semidirect
200. #2424	C₂²	semidirect
201. #2424	C₂²	semidirect
202. #2418	C₂²	semidirect
203. #2418	C₂²	semidirect
204. #2418	C₂²	semidirect
205. #2418	C₂²	semidirect
206. #2412	C₂²	semidirect
207. #2412	C₂²	semidirect
208. #2412	C₂²	semidirect
209. #2411	C₂²	semidirect
210. #2411	C₂²	semidirect
213. #2410	C₂²	semidirect
214. #2410	C₂²	semidirect
215. #2410	C₂²	semidirect
216. #2409	C₂²	semidirect
217. #2409	C₂²	semidirect
218. #2409	C₂²	semidirect
219. #2409	C₂²	semidirect
220. #2409	C₂²	semidirect
221. #2409	C₂²	semidirect
222. #2409	C₂²	semidirect
223. #2409	C₂²	semidirect
227. #2408	C₂²	semidirect
228. #2405	C₂²	semidirect
229. #2405	C₂²	semidirect
230. #2405	C₂²	semidirect
231. #2404	C₂²	semidirect
234. #2372	C₂²	semidirect
235. #2367	C₂²	semidirect
236. #2367	C₂²	semidirect
237. #2358	C₂²	semidirect
238. #2358	C₂²	semidirect
239. #2358	C₂²	semidirect
240. #2358	C₂²	semidirect
241. #2358	C₂²	semidirect
242. #2358	C₂²	semidirect
243. #2342	C₂²	semidirect
244. #2342	C₂²	semidirect
245. #2342	C₂²	semidirect
246. #2342	C₂²	semidirect
247. #2342	C₂²	semidirect
248. Q₈×C₂²⋊C₄	C₂²	semidirect
249. Q₈×C₂²⋊C₄	C₂²	semidirect
250. Q₈×C₂²⋊C₄	C₂²	semidirect
251. Q₈×C₂²⋊C₄	C₂²	semidirect
255. D₄×C₂²⋊C₄	C₂²	semidirect
256. D₄×C₂²⋊C₄	C₂²	semidirect
257. D₄×C₂²⋊C₄	C₂²	semidirect
258. D₄×C₂²⋊C₄	C₂²	semidirect
259. #2337	C₂²	semidirect
260. #2321	C₂²	semidirect
261. #2321	C₂²	semidirect
262. #2321	C₂²	semidirect
263. #2321	C₂²	semidirect
264. #2321	C₂²	semidirect
265. #2321	C₂²	semidirect
266. #2315	C₂²	semidirect
267. #2312	C₂²	semidirect
268. #2308	C₂²	semidirect
269. C₄×#124	C₂²	semidirect
270. C₄×#124	C₂²	semidirect
271. C₄×C₂²⋊Q₈	C₂²	semidirect
272. C₄×C₂²⋊Q₈	C₂²	semidirect
273. C₄×C₂²⋊Q₈	C₂²	semidirect
274. C₄×#123	C₂²	semidirect
275. C₄×#123	C₂²	semidirect
276. C₄×#123	C₂²	semidirect
277. C₄×#123	C₂²	semidirect
278. C₄×#123	C₂²	semidirect
279. C₄×#121	C₂²	semidirect
280. C₄×#121	C₂²	semidirect
281. C₄×#121	C₂²	semidirect
285. C₄×#120	C₂²	semidirect
286. C₄×#120	C₂²	semidirect
287. C₄×#120	C₂²	semidirect
288. C₄×#120	C₂²	semidirect
289. #2297	C₂²	semidirect
290. #2296	C₂²	semidirect
291. #2290	C₂²	semidirect
292. #2290	C₂²	semidirect
293. #2290	C₂²	semidirect
294. #2283	C₂²	semidirect
295. #2280	C₂²	semidirect
296. C₂×#379	C₂²	semidirect
297. #2273	C₂²	semidirect
298. C₄²×D₄	C₂²	semidirect
299. C₄²×D₄	C₂²	semidirect
300. C₄×#117	C₂²	semidirect
304. C₂²×#41	C₂³	semidirect
313. C₂³×Q₈	C₂³	semidirect
349. C₂×C₄⋊Q₈	C₂³	semidirect
350. C₂×C₄⋊Q₈	C₂³	semidirect
351. C₂×C₄⋊Q₈	C₂³	semidirect
352. C₂×C₄⋊Q₈	C₂³	semidirect
358. C₂×#126	C₂³	semidirect
359. C₂×#126	C₂³	semidirect
360. C₂×#126	C₂³	semidirect
361. C₂×#126	C₂³	semidirect
362. C₂×#126	C₂³	semidirect
363. C₂×#125	C₂³	semidirect
376. C₂×#124	D₄	semidirect
403. C₂×#124	C₂³	semidirect
404. C₂×#124	C₂³	semidirect
405. C₂×#124	C₂³	semidirect
406. C₂×#124	C₂³	semidirect
407. C₂×#124	C₂³	semidirect
408. C₂×#124	C₂³	semidirect
409. C₂×#124	C₂³	semidirect
410. C₂×#124	C₂³	semidirect
411. C₂×#124	C₂³	semidirect
419. C₂×#123	C₂³	semidirect
420. C₂×#123	C₂³	semidirect
421. C₂×#123	C₂³	semidirect
422. C₂×#123	C₂³	semidirect
423. C₂×#123	C₂³	semidirect
429. C₂×C₂²⋊Q₈	C₂³	semidirect
430. C₂×C₂²⋊Q₈	C₂³	semidirect
431. C₂×C₂²⋊Q₈	C₂³	semidirect
432. C₂×C₂²⋊Q₈	C₂³	semidirect
433. C₂×C₂²⋊Q₈	C₂³	semidirect
434. C₂×C₂²⋊Q₈	C₂³	semidirect
435. C₂×C₂²⋊Q₈	C₂³	semidirect
436. C₂×C₂²⋊Q₈	C₂³	semidirect
437. C₂×C₂²⋊Q₈	C₂³	semidirect
438. C₂×C₂²⋊Q₈	C₂³	semidirect
452. C₂×#121	C₂³	semidirect
453. C₂×#121	C₂³	semidirect
454. C₂×#121	C₂³	semidirect
455. C₂×#121	C₂³	semidirect
474. C₂×#120	C₂³	semidirect
477. C₂×C₄×Q₈	C₂³	semidirect
478. C₂×C₄×Q₈	C₂³	semidirect
479. C₂×C₄×Q₈	C₂³	semidirect
480. C₂×C₄×Q₈	C₂³	semidirect
481. C₂×C₄×Q₈	C₂³	semidirect
482. C₂×C₄×Q₈	C₂³	semidirect
483. C₂×C₄×Q₈	C₂³	semidirect
504. C₂×C₄×D₄	C₂³	semidirect
505. C₂×C₄×D₄	C₂³	semidirect
506. C₂×C₄×D₄	C₂³	semidirect
507. C₂×C₄×D₄	C₂³	semidirect
508. C₂×C₄×D₄	C₂³	semidirect
509. C₂×C₄×D₄	C₂³	semidirect
510. C₂×C₄×D₄	C₂³	semidirect
511. C₂×C₄×D₄	C₂³	semidirect
512. C₂×C₄×D₄	C₂³	semidirect
516. C₂×#117	C₂³	semidirect
517. C₂×#117	C₂³	semidirect
518. C₂×#117	C₂³	semidirect
519. C₂×#117	C₂³	semidirect
520. C₂×#117	C₂³	semidirect
521. C₂×#117	C₂³	semidirect
546. C₂²×C₂²⋊C₄	C₂³	semidirect
547. C₂²×C₂²⋊C₄	C₂³	semidirect
548. C₂²×C₂²⋊C₄	C₂³	semidirect
558. C₂²×C₄²	C₂³	semidirect
559. C₂²×C₄²	C₂³	semidirect
560. #399	C₂³	semidirect
561. #399	C₂³	semidirect
562. #399	C₂³	semidirect
563. #397	C₂³	semidirect
564. #397	C₂³	semidirect
565. #397	C₂³	semidirect
566. #397	C₂³	semidirect
567. #397	C₂³	semidirect
568. #397	C₂³	semidirect
569. #397	C₂³	semidirect
570. #397	C₂³	semidirect
571. #397	C₂³	semidirect
572. #397	C₂³	semidirect
573. #397	C₂³	semidirect
574. #396	C₂³	semidirect
575. #396	C₂³	semidirect
576. #396	C₂³	semidirect
577. #396	C₂³	semidirect
578. #396	C₂³	semidirect
579. #396	C₂³	semidirect
580. #395	C₂³	semidirect
581. #395	C₂³	semidirect
582. #395	C₂³	semidirect
583. #395	C₂³	semidirect
584. #395	C₂³	semidirect
585. #395	C₂³	semidirect
586. #395	C₂³	semidirect
594. #394	C₂³	semidirect
595. #394	C₂³	semidirect
596. #394	C₂³	semidirect
597. #394	C₂³	semidirect
598. #394	C₂³	semidirect
599. #394	C₂³	semidirect
600. #394	C₂³	semidirect
601. #394	C₂³	semidirect
602. #394	C₂³	semidirect
603. #394	C₂³	semidirect
604. #394	C₂³	semidirect
605. #394	C₂³	semidirect
606. #394	C₂³	semidirect
607. #394	C₂³	semidirect
608. #393	C₂³	semidirect
609. #393	C₂³	semidirect
610. #393	C₂³	semidirect
611. #393	C₂³	semidirect
612. #393	C₂³	semidirect
613. #393	C₂³	semidirect
614. #393	C₂³	semidirect
615. #393	C₂³	semidirect
616. #393	C₂³	semidirect
617. #393	C₂³	semidirect
625. #392	C₂³	semidirect
626. #392	C₂³	semidirect
627. #392	C₂³	semidirect
628. #391	C₂³	semidirect
629. #391	C₂³	semidirect
630. #391	C₂³	semidirect
631. #391	C₂³	semidirect
632. #391	C₂³	semidirect
633. #391	C₂³	semidirect
634. #391	C₂³	semidirect
635. #391	C₂³	semidirect
636. #391	C₂³	semidirect
637. #391	C₂³	semidirect
638. #391	C₂³	semidirect
639. #391	C₂³	semidirect
640. #391	C₂³	semidirect
641. #391	C₂³	semidirect
648. #390	C₂³	semidirect
649. #390	C₂³	semidirect
650. #390	C₂³	semidirect
651. #390	C₂³	semidirect
652. #390	C₂³	semidirect
653. #390	C₂³	semidirect
654. #390	C₂³	semidirect
655. #390	C₂³	semidirect
656. #390	C₂³	semidirect
657. #390	C₂³	semidirect
658. #390	C₂³	semidirect
659. #390	C₂³	semidirect
660. #389	C₂³	semidirect
661. #389	C₂³	semidirect
662. #389	C₂³	semidirect
663. #389	C₂³	semidirect
664. #388	C₂³	semidirect
665. #388	C₂³	semidirect
666. #388	C₂³	semidirect
667. #388	C₂³	semidirect
668. #388	C₂³	semidirect
669. #388	C₂³	semidirect
670. #388	C₂³	semidirect
671. #388	C₂³	semidirect
672. #388	C₂³	semidirect
673. #388	C₂³	semidirect
674. #388	C₂³	semidirect
675. #388	C₂³	semidirect
676. #388	C₂³	semidirect
677. #388	C₂³	semidirect
678. #388	C₂³	semidirect
679. #388	C₂³	semidirect
680. #388	C₂³	semidirect
681. #388	C₂³	semidirect
682. #388	C₂³	semidirect
683. #388	C₂³	semidirect
684. #388	C₂³	semidirect
685. #388	C₂³	semidirect
686. #388	C₂³	semidirect
687. #388	C₂³	semidirect
688. #388	C₂³	semidirect
689. #388	C₂³	semidirect
690. #388	C₂³	semidirect
691. #388	C₂³	semidirect
692. #388	C₂³	semidirect
693. #388	C₂³	semidirect
694. #388	C₂³	semidirect
695. #388	C₂³	semidirect
696. #388	C₂³	semidirect
697. #388	C₂³	semidirect
698. #388	C₂³	semidirect
699. #388	C₂³	semidirect
700. #387	C₂³	semidirect
701. #387	C₂³	semidirect
702. #387	C₂³	semidirect
703. #387	C₂³	semidirect
704. #387	C₂³	semidirect
705. #387	C₂³	semidirect
706. #387	C₂³	semidirect
707. #387	C₂³	semidirect
736. #386	C₂³	semidirect
737. #386	C₂³	semidirect
738. #386	C₂³	semidirect
739. #386	C₂³	semidirect
740. #386	C₂³	semidirect
741. #386	C₂³	semidirect
742. #386	C₂³	semidirect
743. #386	C₂³	semidirect
744. #386	C₂³	semidirect
745. #386	C₂³	semidirect
746. #386	C₂³	semidirect
747. #386	C₂³	semidirect
748. #386	C₂³	semidirect
749. #386	C₂³	semidirect
772. #385	C₂³	semidirect
773. #385	C₂³	semidirect
774. #385	C₂³	semidirect
775. #385	C₂³	semidirect
776. #385	C₂³	semidirect
777. #385	C₂³	semidirect
778. #383	C₂³	semidirect
779. #382	C₂³	semidirect
784. #381	C₂³	semidirect
785. #381	C₂³	semidirect
796. #380	C₂³	semidirect
797. #380	C₂³	semidirect
798. #380	C₂³	semidirect
799. #380	C₂³	semidirect
815. #379	C₂³	semidirect
816. #379	C₂³	semidirect
817. C₄×C₄⋊C₄	C₂³	semidirect
818. C₄×C₄⋊C₄	C₂³	semidirect
819. C₄×C₄⋊C₄	C₂³	semidirect
820. C₄×C₄⋊C₄	C₂³	semidirect
821. C₄×C₄⋊C₄	C₂³	semidirect
822. C₄×C₄⋊C₄	C₂³	semidirect
823. C₄×C₄⋊C₄	C₂³	semidirect
824. C₄×C₄⋊C₄	C₂³	semidirect
825. C₄×C₄⋊C₄	C₂³	semidirect
826. C₄×C₄⋊C₄	C₂³	semidirect
843. C₄×C₂²⋊C₄	C₂³	semidirect
844. C₄×C₂²⋊C₄	C₂³	semidirect
845. C₄×C₂²⋊C₄	C₂³	semidirect
846. C₄×C₂²⋊C₄	C₂³	semidirect
847. C₄×C₂²⋊C₄	C₂³	semidirect
848. C₄×C₂²⋊C₄	C₂³	semidirect
849. C₄×C₂²⋊C₄	C₂³	semidirect
850. C₄×C₂²⋊C₄	C₂³	semidirect
851. C₄×C₂²⋊C₄	C₂³	semidirect
852. C₄×C₂²⋊C₄	C₂³	semidirect
853. C₄×C₂²⋊C₄	C₂³	semidirect
854. C₄×C₂²⋊C₄	C₂³	semidirect
855. C₄×C₂²⋊C₄	C₂³	semidirect
856. #376	C₂³	semidirect
857. #376	C₂³	semidirect
858. C₄³	C₂³	semidirect
894. C₂²×Q₈	C₂×D₄	semidirect
1037. #124	C₂×D₄	semidirect
1038. #124	C₂×D₄	semidirect
1039. #124	C₂×D₄	semidirect
1040. #124	C₂×D₄	semidirect
1101. #120	#41	semidirect
1207. C₂×C₂²⋊C₄	C₂×D₄	semidirect
1208. C₂×C₂²⋊C₄	C₂×D₄	semidirect
1305. C₂×C₄²	C₂×D₄	semidirect
2053. C₂²	#3514	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3514	2
C₂³×#124	2
#59162	2
#59160	2
#59148	2
#59147	2
#59131	2
#59130	2
#39135	2
#39123	2
#38918	2
#38906	2
#38044	2
#38028	2
#37718	2
#37716	2
#36621	2
#36575	2
Q₈×#120	2
#36158	2
#36152	2
#36124	2
#36111	2
D₄×#124	2
#36098	2
D₄×#120	2
#35466	2
#35451	2
#35131	2
#35129	2
#34988	2
#34240	2
#34198	2
C₄×#525	2