Subgroups — #7653764

Order 512.

11293 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3481	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
3	#42484	C₂	1	2	yes	maximal, complemented
4	#42480	C₂	1	2	yes	maximal, complemented
5	#40594	C₂	1	4	yes	maximal, complemented
6	#40590	C₂	1	4	yes	maximal, complemented
7	#39342	C₂	1	2	yes	maximal, complemented
8	#39132	C₂	1	2	yes	maximal, complemented
9	#39120	C₂	1	2	yes	maximal, complemented
10	#38910	C₂	1	2	yes	maximal, complemented
11	#38026	C₂	1	4	yes	maximal, complemented
12	#37833	C₂	1	4	yes	maximal, complemented
13	#37650	C₂	1	4	yes	maximal, complemented
14	#37645	C₂	1	4	yes	maximal, complemented
15	#37614	C₂	1	1	yes	maximal, characteristic, complemented
16	#37439	C₂	1	2	yes	maximal, complemented
17	#36258	C₂	1	2	yes	maximal, complemented
18	#36152	C₂	1	2	yes	maximal, complemented
19	D₄×#121	C₂	1	2	yes	maximal, complemented
20	D₄×#120	C₂	1	2	yes	maximal, complemented
21	#35921	C₂	1	2	yes	maximal, complemented
22	#35903	C₂	1	2	yes	maximal, complemented
23	#35272	C₂	1	1	yes	maximal, characteristic, complemented
24	#35236	C₂	1	1	yes	maximal, characteristic, complemented
25	#35222	C₂	1	2	yes	maximal, complemented
26	#35076	C₂	1	2	yes	maximal, complemented
27	#34963	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#2408	C₂	1	2	yes	maximal, complemented
29	#34194	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂⁴×D₄	C₂²	1	2	yes	—
31	C₂⁴×D₄	C₂²	1	2	yes	complemented
32	#3481	—	2	16	no	—
33	C₂×#559	C₂²	1	1	yes	characteristic, complemented
34	C₂×#554	C₂²	1	1	yes	characteristic, complemented
35	C₂×#554	C₂²	1	1	yes	characteristic, complemented
36	C₂×#553	C₂²	1	1	yes	characteristic, complemented
37	C₂×#553	C₂²	1	2	yes	complemented
38	C₂×#553	C₂²	1	1	yes	characteristic, complemented
39	C₂×#551	C₂²	1	2	yes	complemented
40	C₂×#551	C₂²	1	2	yes	complemented
41	C₂×#546	C₂²	1	1	yes	characteristic
42	C₂×#546	C₂²	1	2	yes	complemented
43	C₂×#546	C₂²	1	1	yes	characteristic, complemented
44	C₂×#546	C₂²	1	4	yes	complemented
45	C₂×D₄²	—	2	16	no	—
46	C₂×D₄²	C₂²	1	2	yes	—
47	C₂×D₄²	C₂²	1	2	yes	—
48	C₂×D₄²	C₂²	1	1	yes	characteristic
49	C₂×D₄²	C₂²	1	4	yes	complemented
50	C₂×D₄²	C₂²	1	4	yes	complemented
51	C₂×D₄²	C₂²	1	2	yes	complemented
52	C₂×D₄²	C₂²	1	2	yes	complemented
53	C₂×D₄²	C₂²	1	4	yes	complemented
54	C₂×#535	C₂²	1	2	yes	complemented
55	C₂×#535	C₂²	1	4	yes	complemented
56	C₂×#532	C₂²	1	1	yes	characteristic, complemented
57	C₂²×#127	C₂²	1	1	yes	characteristic, complemented
58	C₂×#529	C₂²	1	1	yes	characteristic, complemented
59	C₂×#529	C₂²	1	2	yes	complemented
60	C₂×#529	C₂²	1	1	yes	characteristic, complemented
61	C₂×#525	C₂²	1	2	yes	complemented
62	C₂×#525	C₂²	1	2	yes	complemented
63	C₂²×#121	C₂²	1	2	yes	complemented
64	C₂²×#121	C₂²	1	2	yes	complemented
65	C₂²×#121	C₂²	1	4	yes	complemented
66	C₂²×#120	C₂²	1	4	yes	complemented
67	C₂²×#120	C₂²	1	4	yes	complemented
68	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
70	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
71	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
73	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
74	#2856	C₂²	1	2	yes	complemented
75	#2856	C₂²	1	2	yes	complemented
76	#2854	C₂²	1	4	yes	complemented
77	#2848	C₂²	1	2	yes	complemented
78	#2847	C₂²	1	2	yes	complemented
79	#2847	C₂²	1	4	yes	complemented
80	#2846	C₂²	1	4	yes	complemented
81	#2846	C₂²	1	4	yes	complemented
82	#2818	C₂²	1	4	yes	complemented
83	#2813	C₂²	1	4	yes	complemented
84	#2813	C₂²	1	4	yes	complemented
85	#2714	C₂²	1	8	yes	complemented
86	#2711	C₂²	1	8	yes	complemented
87	#2685	C₂²	1	8	yes	complemented
88	#2685	C₂²	1	8	yes	complemented
89	#2678	C₂²	1	8	yes	complemented
90	#2678	C₂²	1	8	yes	complemented
91	#2676	C₂²	1	8	yes	complemented
92	#2673	C₂²	1	8	yes	complemented
93	#2670	C₂²	1	8	yes	complemented
94	#2670	C₂²	1	8	yes	complemented
95	#2669	C₂²	1	8	yes	complemented
96	#2669	C₂²	1	8	yes	complemented
97	#2657	C₂²	1	2	yes	complemented
98	#2656	C₂²	1	4	yes	complemented
99	#2641	C₂²	1	2	yes	complemented
100	#2639	C₂²	1	4	yes	complemented
101	#2636	C₂²	1	4	yes	complemented
102	#2635	C₂²	1	4	yes	complemented
103	#2635	C₂²	1	4	yes	complemented
104	#2626	C₂²	1	4	yes	complemented
105	#2624	C₂²	1	4	yes	complemented
106	#2619	C₂²	1	4	yes	complemented
107	#2619	C₂²	1	2	yes	complemented
108	#2619	C₂²	1	2	yes	complemented
109	#2617	C₂²	1	4	yes	complemented
110	#2615	C₂²	1	4	yes	complemented
111	#2613	C₂²	1	4	yes	complemented
112	#2613	C₂²	1	4	yes	complemented
113	#2613	C₂²	1	4	yes	complemented
114	#2598	C₂²	1	2	yes	complemented
115	#2598	C₂²	1	2	yes	complemented
116	#2591	C₂²	1	4	yes	complemented
117	#2580	C₂²	1	2	yes	complemented
118	#2562	C₂²	1	2	yes	complemented
119	#2548	C₂²	1	2	yes	complemented
120	#2548	C₂²	1	2	yes	complemented
121	#2548	C₂²	1	2	yes	complemented
122	#2541	C₂²	1	4	yes	complemented
123	#2541	C₂²	1	2	yes	complemented
124	#2541	C₂²	1	2	yes	complemented
125	#2541	C₂²	1	2	yes	complemented
126	#2540	C₂²	1	2	yes	complemented
127	#2540	C₂²	1	4	yes	complemented
128	#2539	C₂²	1	8	yes	complemented
129	#2539	C₂²	1	4	yes	complemented
130	#2538	C₂²	1	2	yes	complemented
131	#2537	C₂²	1	2	yes	complemented
132	#2535	C₂²	1	2	yes	complemented
133	#2491	C₂²	1	4	yes	complemented
134	#2490	C₂²	1	4	yes	complemented
135	#2487	C₂²	1	1	yes	characteristic, complemented
136	#2487	C₂²	1	2	yes	complemented
137	#2487	C₂²	1	1	yes	characteristic, complemented
138	#2482	C₂²	1	2	yes	complemented
139	#2472	C₂²	1	8	yes	complemented
140	#2472	C₂²	1	8	yes	complemented
141	#2435	C₂²	1	2	yes	complemented
142	#2435	C₂²	1	4	yes	complemented
143	#2435	C₂²	1	4	yes	complemented
144	#2435	C₂²	1	4	yes	complemented
145	#2433	C₂²	1	4	yes	complemented
146	#2433	C₂²	1	2	yes	complemented
147	#2433	C₂²	1	8	yes	complemented
148	#2433	C₂²	1	4	yes	complemented
149	#2433	C₂²	1	4	yes	complemented
150	#2428	C₂²	1	4	yes	complemented
151	#2426	C₂²	1	4	yes	complemented
152	#2424	C₂²	1	8	yes	complemented
153	#2424	C₂²	1	8	yes	complemented
154	#2416	C₂²	1	4	yes	complemented
155	#2416	C₂²	1	4	yes	complemented
156	#2416	C₂²	1	4	yes	complemented
157	#2414	C₂²	1	4	yes	complemented
158	#2414	C₂²	1	4	yes	complemented
159	#2414	C₂²	1	4	yes	complemented
160	#2411	C₂²	1	4	yes	complemented
161	#2411	C₂²	1	8	yes	complemented
162	#2410	C₂²	1	4	yes	complemented
163	#2410	C₂²	1	4	yes	complemented
164	#2410	C₂²	1	8	yes	complemented
165	#2410	C₂²	1	8	yes	complemented
166	#2410	C₂²	1	8	yes	complemented
167	#2408	C₂²	1	1	yes	characteristic
168	#2408	C₂²	1	2	yes	complemented
169	#2408	C₂²	1	1	yes	characteristic, complemented
170	#2408	C₂²	1	2	yes	complemented
171	#2408	C₂²	1	2	yes	complemented
172	#2408	C₂²	1	4	yes	complemented
173	#2408	C₂²	1	2	yes	complemented
174	#2408	C₂²	1	2	yes	complemented
175	#2408	C₂²	1	2	yes	complemented
176	#2408	C₂²	1	4	yes	complemented
177	#2408	C₂²	1	2	yes	complemented
178	#2408	C₂²	1	4	yes	complemented
179	#2408	C₂²	1	4	yes	complemented
180	#2408	C₂²	1	4	yes	complemented
181	#2408	C₂²	1	4	yes	complemented
182	#2408	C₂²	1	4	yes	complemented
183	#2408	C₂²	1	4	yes	complemented
184	#2408	C₂²	1	4	yes	complemented
185	#2408	C₂²	1	4	yes	complemented
186	#2405	C₂²	1	4	yes	complemented
187	#2405	C₂²	1	8	yes	complemented
188	#2404	C₂²	1	2	yes	complemented
189	#2403	C₂²	1	4	yes	complemented
190	#2403	C₂²	1	8	yes	complemented
191	#2398	C₂²	1	2	yes	complemented
192	#2397	C₂²	1	2	yes	complemented
193	C₂×#394	C₂²	1	4	yes	complemented
194	C₂×#392	C₂²	1	4	yes	complemented
195	#2354	C₂²	1	2	yes	complemented
196	#2352	C₂²	1	4	yes	complemented
197	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
198	#2345	C₂²	1	2	yes	complemented
199	#2342	C₂²	1	4	yes	complemented
200	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
201	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
202	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
203	#2324	C₂²	1	4	yes	complemented
204	#2321	C₂²	1	4	yes	complemented
205	#2321	C₂²	1	4	yes	complemented
206	#2319	C₂²	1	2	yes	complemented
207	#2318	C₂²	1	4	yes	complemented
208	#2309	C₂²	1	2	yes	complemented
209	#2309	C₂²	1	4	yes	complemented
210	C₄×#121	C₂²	1	2	yes	complemented
211	C₄×#121	C₂²	1	2	yes	complemented
212	C₄×#120	C₂²	1	2	yes	complemented
213	C₄×#120	C₂²	1	2	yes	complemented
214	C₂×#390	C₂²	1	4	yes	complemented
215	#2285	C₂²	1	1	yes	characteristic, complemented
216	#2283	C₂²	1	1	yes	characteristic, complemented
217	#2280	C₂²	1	2	yes	complemented
218	C₂×#380	C₂²	1	2	yes	complemented
219	C₂×#379	C₂²	1	4	yes	complemented
220	#2275	C₂²	1	2	yes	complemented
221	C₂⁶	C₂³	1	4	yes	—
222	C₂²×#41	C₂³	1	1	yes	characteristic
223	C₂²×#41	C₂³	1	1	yes	characteristic
224	C₂²×#41	C₂³	1	2	yes	complemented
225	C₂³×D₄	—	2	16	no	—
226	C₂³×D₄	—	2	16	no	—
227	C₂³×D₄	—	4	16	no	—
228	C₂³×D₄	—	4	16	no	—
229	C₂³×D₄	C₂³	1	4	yes	—
230	C₂³×D₄	C₂³	1	1	yes	characteristic
231	C₂³×D₄	C₂³	1	1	yes	characteristic
232	C₂³×D₄	C₂³	1	4	yes	—
233	C₂³×D₄	C₂³	1	4	yes	—
234	C₂³×D₄	C₂³	1	2	yes	—
235	C₂³×D₄	C₂³	1	1	yes	characteristic
236	C₂³×D₄	C₂³	1	4	yes	—
237	C₂³×D₄	C₂³	1	8	yes	—
238	C₂³×D₄	C₂³	1	2	yes	—
239	C₂³×D₄	C₂³	1	4	yes	—
240	C₂³×D₄	C₂³	1	4	yes	—
241	C₂³×D₄	C₂³	1	4	yes	—
242	C₂³×D₄	C₂³	1	4	yes	—
243	C₂³×D₄	C₂³	1	2	yes	—
244	C₂³×D₄	C₂³	1	2	yes	—
245	C₂³×D₄	C₂³	1	8	yes	complemented
246	C₂⁴×C₄	C₂³	1	2	yes	—
247	C₂⁴×C₄	C₂³	1	2	yes	—
248	C₂⁴×C₄	C₂³	1	2	yes	complemented
249	#559	—	2	8	no	—
250	#554	—	2	8	no	—
251	#554	—	2	8	no	—
252	#553	—	2	16	no	—
253	#553	—	2	8	no	—
254	#553	—	2	8	no	—
255	#551	—	2	16	no	—
256	#551	—	2	16	no	—
257	#546	—	2	8	no	—
258	#546	—	2	8	no	—
259	#546	—	2	16	no	—
260	#546	—	4	16	no	—
261	D₄²	—	2	8	no	—
262	D₄²	—	2	16	no	—
263	D₄²	—	2	16	no	—
264	D₄²	—	2	32	no	—
265	D₄²	—	2	16	no	—
266	D₄²	—	2	32	no	—
267	D₄²	—	2	16	no	—
268	D₄²	—	4	16	no	—
269	#535	—	4	8	no	—
270	#535	—	4	16	no	—
271	#532	—	2	8	no	—
272	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
273	C₂×#127	—	2	8	no	—
274	C₂×#127	C₂³	1	2	yes	—
275	C₂×#127	C₂³	1	2	yes	—
276	C₂×#127	C₂³	1	2	yes	—
277	C₂×#127	C₂³	1	2	yes	—
278	C₂×#127	C₂³	1	1	yes	characteristic
279	C₂×#127	C₂³	1	4	yes	complemented
280	C₂×#127	C₂³	1	4	yes	complemented
281	C₂×#127	C₂³	1	8	yes	complemented
282	#529	—	2	16	no	—
283	#529	—	2	8	no	—
284	#529	—	2	8	no	—
285	C₂×#126	C₂³	1	2	yes	complemented
286	C₂×#126	C₂³	1	2	yes	complemented
287	C₂×#126	C₂³	1	2	yes	complemented
288	C₂×#126	C₂³	1	2	yes	complemented
289	C₂×#125	C₂³	1	1	yes	characteristic, complemented
290	C₂×#125	C₂³	1	2	yes	complemented
291	C₂×#125	C₂³	1	1	yes	characteristic, complemented
292	C₂×#124	C₂³	1	1	yes	characteristic
293	C₂×#124	C₂³	1	1	yes	characteristic, complemented
294	C₂×#124	C₂³	1	2	yes	complemented
295	C₂×#124	C₂³	1	2	yes	complemented
296	C₂×#124	C₂³	1	4	yes	complemented
297	C₂×#124	C₂³	1	4	yes	complemented
298	C₂×#124	C₂³	1	8	yes	complemented
299	#525	—	2	16	no	—
300	#525	—	2	16	no	—
301	C₂×#123	C₂³	1	2	yes	—
302	C₂×#123	C₂³	1	2	yes	—
303	C₂×#123	C₂³	1	2	yes	complemented
304	C₂×#123	C₂³	1	2	yes	complemented
305	C₂×#123	C₂³	1	2	yes	complemented
306	C₂×#123	C₂³	1	2	yes	complemented
307	C₂×#123	C₂³	1	2	yes	complemented
308	C₂×#123	C₂³	1	2	yes	complemented
309	C₂×#123	C₂³	1	8	yes	complemented
310	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
312	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
313	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
314	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
315	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
316	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
317	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
318	C₂×#121	—	2	16	no	—
319	C₂×#121	—	2	16	no	—
320	C₂×#121	—	4	16	no	—
321	C₂×#121	C₂³	1	4	yes	—
322	C₂×#121	C₂³	1	4	yes	—
323	C₂×#121	C₂³	1	1	yes	characteristic
324	C₂×#121	C₂³	1	4	yes	—
325	C₂×#121	C₂³	1	4	yes	—
326	C₂×#121	C₂³	1	2	yes	—
327	C₂×#121	C₂³	1	4	yes	—
328	C₂×#121	C₂³	1	2	yes	—
329	C₂×#121	C₂³	1	1	yes	characteristic
330	C₂×#121	C₂³	1	1	yes	characteristic
331	C₂×#121	C₂³	1	2	yes	—
332	C₂×#121	C₂³	1	4	yes	—
333	C₂×#121	C₂³	1	8	yes	—
334	C₂×#121	C₂³	1	4	yes	—
335	C₂×#121	C₂³	1	2	yes	—
336	C₂×#121	C₂³	1	2	yes	—
337	C₂×#121	C₂³	1	2	yes	complemented
338	C₂×#121	C₂³	1	2	yes	complemented
339	C₂×#121	C₂³	1	2	yes	complemented
340	C₂×#121	C₂³	1	1	yes	characteristic, complemented
341	C₂×#121	C₂³	1	4	yes	complemented
342	C₂×#121	C₂³	1	4	yes	complemented
343	C₂×#121	C₂³	1	4	yes	complemented
344	C₂×#121	C₂³	1	4	yes	complemented
345	C₂×#121	C₂³	1	4	yes	complemented
346	C₂×#121	C₂³	1	4	yes	complemented
347	C₂×#121	C₂³	1	4	yes	complemented
348	C₂×#121	C₂³	1	4	yes	complemented
349	C₂×#121	C₂³	1	4	yes	complemented
350	C₂×#121	C₂³	1	8	yes	complemented
351	C₂×#121	C₂³	1	8	yes	complemented
352	C₂×#121	C₂³	1	8	yes	complemented
353	C₂×#121	C₂³	1	8	yes	complemented
354	C₂×#120	—	2	32	no	—
355	C₂×#120	—	4	16	no	—
356	C₂×#120	C₂³	1	4	yes	—
357	C₂×#120	C₂³	1	2	yes	—
358	C₂×#120	C₂³	1	2	yes	—
359	C₂×#120	C₂³	1	2	yes	—
360	C₂×#120	C₂³	1	2	yes	—
361	C₂×#120	C₂³	1	8	yes	—
362	C₂×#120	C₂³	1	8	yes	—
363	C₂×#120	C₂³	1	8	yes	—
364	C₂×#120	C₂³	1	8	yes	—
365	C₂×#120	C₂³	1	4	yes	—
366	C₂×#120	C₂³	1	2	yes	—
367	C₂×#120	C₂³	1	4	yes	—
368	C₂×#120	C₂³	1	4	yes	—
369	C₂×#120	C₂³	1	4	yes	—
370	C₂×#120	C₂³	1	2	yes	complemented
371	C₂×#120	C₂³	1	8	yes	complemented
372	C₂×#120	C₂³	1	8	yes	complemented
373	C₂×#120	C₂³	1	8	yes	complemented
374	C₂×#120	C₂³	1	8	yes	complemented
375	C₂×#120	C₂³	1	8	yes	complemented
376	C₂×#120	C₂³	1	8	yes	complemented
377	C₂×#120	C₂³	1	8	yes	complemented
378	C₄×#41	—	2	8	no	—
379	C₄×#41	—	2	8	no	—
380	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
381	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
382	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
383	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
384	C₂×C₄×D₄	—	2	16	no	—
385	C₂×C₄×D₄	—	2	8	no	—
386	C₂×C₄×D₄	—	2	8	no	—
387	C₂×C₄×D₄	D₄	1	16	yes	complemented
388	C₂×C₄×D₄	C₂³	1	2	yes	—
389	C₂×C₄×D₄	C₂³	1	2	yes	—
390	C₂×C₄×D₄	C₂³	1	2	yes	—
391	C₂×C₄×D₄	C₂³	1	2	yes	—
392	C₂×C₄×D₄	C₂³	1	4	yes	—
393	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
394	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
395	C₂×C₄×D₄	C₂³	1	2	yes	—
396	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
397	C₂×C₄×D₄	C₂³	1	2	yes	—
398	C₂×C₄×D₄	C₂³	1	2	yes	—
399	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
400	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
401	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
402	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
403	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
404	C₂×C₄×D₄	C₂³	1	2	yes	—
405	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
406	C₂×C₄×D₄	C₂³	1	2	yes	—
407	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
408	C₂×C₄×D₄	C₂³	1	2	yes	complemented
409	C₂×C₄×D₄	C₂³	1	2	yes	complemented
410	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
411	C₂×C₄×D₄	C₂³	1	2	yes	complemented
412	C₂×C₄×D₄	C₂³	1	2	yes	complemented
413	C₂×C₄×D₄	C₂³	1	2	yes	complemented
414	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
415	C₂×C₄×D₄	C₂³	1	2	yes	complemented
416	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
417	C₂×C₄×D₄	C₂³	1	2	yes	complemented
418	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
419	C₂×C₄×D₄	C₂³	1	2	yes	complemented
420	C₂×C₄×D₄	C₂³	1	4	yes	complemented
421	C₂×C₄×D₄	C₂³	1	4	yes	complemented
422	C₂×#117	C₂³	1	1	yes	characteristic
423	C₂×#117	C₂³	1	2	yes	—
424	C₂×#117	C₂³	1	2	yes	complemented
425	C₂×#117	C₂³	1	2	yes	complemented
426	C₂×#117	C₂³	1	1	yes	characteristic, complemented
427	C₂×#117	C₂³	1	1	yes	characteristic, complemented
428	C₂×#117	C₂³	1	2	yes	complemented
429	C₂×#117	C₂³	1	1	yes	characteristic, complemented
430	C₂×#117	C₂³	1	4	yes	complemented
431	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
433	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
434	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
435	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
436	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
437	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
438	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
439	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
440	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
441	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
442	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
443	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
444	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
445	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
446	C₂²×C₄²	C₂³	1	1	yes	characteristic
447	C₂²×C₄²	C₂³	1	2	yes	complemented
448	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
449	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
450	#400	C₂³	1	4	yes	complemented
451	#400	C₂³	1	2	yes	complemented
452	#400	C₂³	1	2	yes	complemented
453	#399	C₂³	1	4	yes	complemented
454	#399	C₂³	1	2	yes	complemented
455	#399	C₂³	1	2	yes	complemented
456	#399	C₂³	1	8	yes	complemented
457	#399	C₂³	1	4	yes	complemented
458	#397	C₂³	1	8	yes	complemented
459	#397	C₂³	1	4	yes	complemented
460	#396	C₂³	1	8	yes	complemented
461	#396	C₂³	1	8	yes	complemented
462	#396	C₂³	1	8	yes	complemented
463	#394	C₂³	1	4	yes	—
464	#394	C₂³	1	2	yes	—
465	#394	C₂³	1	2	yes	—
466	#394	C₂³	1	4	yes	complemented
467	#394	C₂³	1	8	yes	complemented
468	#394	C₂³	1	8	yes	complemented
469	#394	C₂³	1	4	yes	complemented
470	#394	C₂³	1	4	yes	complemented
471	#394	C₂³	1	4	yes	complemented
472	#394	C₂³	1	8	yes	complemented
473	#394	C₂³	1	8	yes	complemented
474	#394	C₂³	1	8	yes	complemented
475	#394	C₂³	1	8	yes	complemented
476	#394	C₂³	1	8	yes	complemented
477	#394	C₂³	1	4	yes	complemented
478	#394	C₂³	1	4	yes	complemented
479	#394	C₂³	1	8	yes	complemented
480	#394	C₂³	1	8	yes	complemented
481	#394	C₂³	1	8	yes	complemented
482	#394	C₂³	1	8	yes	complemented
483	#394	C₂³	1	8	yes	complemented
484	#394	C₂³	1	8	yes	complemented
485	#394	C₂³	1	8	yes	complemented
486	#393	C₂³	1	4	yes	complemented
487	#393	C₂³	1	8	yes	complemented
488	#392	C₂³	1	2	yes	—
489	#392	C₂³	1	2	yes	—
490	#392	C₂³	1	4	yes	—
491	#392	C₂³	1	4	yes	complemented
492	#392	C₂³	1	8	yes	complemented
493	#392	C₂³	1	8	yes	complemented
494	#392	C₂³	1	4	yes	complemented
495	#392	C₂³	1	4	yes	complemented
496	#392	C₂³	1	8	yes	complemented
497	#392	C₂³	1	8	yes	complemented
498	#392	C₂³	1	8	yes	complemented
499	#392	C₂³	1	8	yes	complemented
500	#392	C₂³	1	8	yes	complemented
501	#392	C₂³	1	8	yes	complemented
502	#392	C₂³	1	4	yes	complemented
503	#392	C₂³	1	4	yes	complemented
504	#392	C₂³	1	4	yes	complemented
505	#392	C₂³	1	8	yes	complemented
506	#392	C₂³	1	8	yes	complemented
507	#392	C₂³	1	8	yes	complemented
508	#392	C₂³	1	8	yes	complemented
509	#392	C₂³	1	4	yes	complemented
510	#390	C₂³	1	2	yes	—
511	#390	C₂³	1	4	yes	—
512	#390	C₂³	1	4	yes	—
513	#390	C₂³	1	2	yes	—
514	#390	C₂³	1	4	yes	complemented
515	#390	C₂³	1	4	yes	complemented
516	#390	C₂³	1	4	yes	complemented
517	#390	C₂³	1	4	yes	complemented
518	#390	C₂³	1	4	yes	complemented
519	#390	C₂³	1	8	yes	complemented
520	#390	C₂³	1	4	yes	complemented
521	#390	C₂³	1	8	yes	complemented
522	#390	C₂³	1	8	yes	complemented
523	#390	C₂³	1	8	yes	complemented
524	#390	C₂³	1	8	yes	complemented
525	#390	C₂³	1	4	yes	complemented
526	#390	C₂³	1	4	yes	complemented
527	#390	C₂³	1	4	yes	complemented
528	#390	C₂³	1	4	yes	complemented
529	#390	C₂³	1	4	yes	complemented
530	#390	C₂³	1	4	yes	complemented
531	#390	C₂³	1	8	yes	complemented
532	#390	C₂³	1	8	yes	complemented
533	#389	C₂³	1	4	yes	complemented
534	#389	C₂³	1	4	yes	complemented
535	#389	C₂³	1	2	yes	complemented
536	#389	C₂³	1	2	yes	complemented
537	#388	C₂³	1	8	yes	complemented
538	#388	C₂³	1	8	yes	complemented
539	#388	C₂³	1	8	yes	complemented
540	#388	C₂³	1	8	yes	complemented
541	#388	C₂³	1	8	yes	complemented
542	#388	C₂³	1	8	yes	complemented
543	#388	C₂³	1	8	yes	complemented
544	#388	C₂³	1	4	yes	complemented
545	#388	C₂³	1	4	yes	complemented
546	#387	C₂³	1	8	yes	complemented
547	#386	C₂³	1	8	yes	—
548	#386	C₂³	1	2	yes	—
549	#386	C₂³	1	4	yes	—
550	#386	C₂³	1	2	yes	—
551	#386	C₂³	1	8	yes	complemented
552	#386	C₂³	1	8	yes	complemented
553	#386	C₂³	1	8	yes	complemented
554	#386	C₂³	1	8	yes	complemented
555	#386	C₂³	1	8	yes	complemented
556	#386	C₂³	1	8	yes	complemented
557	#386	C₂³	1	8	yes	complemented
558	#386	C₂³	1	4	yes	complemented
559	#386	C₂³	1	4	yes	complemented
560	#386	C₂³	1	4	yes	complemented
561	#386	C₂³	1	4	yes	complemented
562	#385	C₂³	1	2	yes	—
563	#385	C₂³	1	4	yes	—
564	#385	C₂³	1	2	yes	—
565	#385	C₂³	1	8	yes	complemented
566	#385	C₂³	1	8	yes	complemented
567	#385	C₂³	1	4	yes	complemented
568	#385	C₂³	1	4	yes	complemented
569	#384	C₂³	1	2	yes	complemented
570	#383	C₂³	1	2	yes	complemented
571	#382	C₂³	1	2	yes	complemented
572	#382	C₂³	1	2	yes	complemented
573	#381	C₂³	1	2	yes	—
574	#381	C₂³	1	4	yes	complemented
575	#380	C₂³	1	2	yes	—
576	#380	C₂³	1	4	yes	—
577	#380	C₂³	1	1	yes	characteristic
578	#380	C₂³	1	2	yes	—
579	#380	C₂³	1	1	yes	characteristic
580	#380	C₂³	1	4	yes	complemented
581	#380	C₂³	1	4	yes	complemented
582	#380	C₂³	1	4	yes	complemented
583	#380	C₂³	1	4	yes	complemented
584	#380	C₂³	1	2	yes	complemented
585	#380	C₂³	1	4	yes	complemented
586	#380	C₂³	1	4	yes	complemented
587	#380	C₂³	1	2	yes	complemented
588	#379	C₂³	1	4	yes	—
589	#379	C₂³	1	4	yes	—
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	4	yes	—
592	#379	C₂³	1	2	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	2	yes	—
596	#379	C₂³	1	8	yes	complemented
597	#379	C₂³	1	8	yes	complemented
598	#379	C₂³	1	8	yes	complemented
599	#379	C₂³	1	8	yes	complemented
600	#379	C₂³	1	8	yes	complemented
601	#379	C₂³	1	8	yes	complemented
602	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
603	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
604	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
605	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
606	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
609	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
611	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
612	#376	C₂³	1	2	yes	complemented
613	C₂×#95	C₂³	1	4	yes	complemented
614	C₂⁵	—	2	16	no	—
615	C₂⁵	—	4	16	no	—
616	C₂⁵	—	4	16	no	—
617	C₂⁵	—	4	8	no	—
618	C₂⁵	—	4	8	no	—
619	C₂⁵	C₂⁴	1	2	yes	—
620	C₂⁵	C₂⁴	1	8	yes	—
621	C₂⁵	C₂⁴	1	2	yes	—
622	C₂⁵	C₂⁴	1	2	yes	—
623	C₂⁵	C₂⁴	1	4	yes	—
624	C₂⁵	C₂⁴	1	8	yes	—
625	C₂×#41	—	2	4	no	—
626	C₂×#41	—	2	4	no	—
627	C₂×#41	—	2	8	no	—
628	C₂×#41	—	2	4	no	—
629	C₂×#41	—	2	8	no	—
630	C₂×#41	—	4	8	no	—
631	C₂×#41	—	4	2	no	—
632	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
633	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
634	C₂²×Q₈	C₂⁴	1	2	yes	—
635	C₂²×D₄	—	2	8	no	—
636	C₂²×D₄	—	2	8	no	—
637	C₂²×D₄	—	2	8	no	—
638	C₂²×D₄	—	2	16	no	—
639	C₂²×D₄	—	2	4	no	—
640	C₂²×D₄	—	2	32	no	—
641	C₂²×D₄	—	2	16	no	—
642	C₂²×D₄	—	2	16	no	—
643	C₂²×D₄	—	2	8	no	—
644	C₂²×D₄	—	2	16	no	—
645	C₂²×D₄	—	2	16	no	—
646	C₂²×D₄	—	2	8	no	—
647	C₂²×D₄	—	2	16	no	—
648	C₂²×D₄	—	2	16	no	—
649	C₂²×D₄	—	2	4	no	—
650	C₂²×D₄	—	2	16	no	—
651	C₂²×D₄	—	2	8	no	—
652	C₂²×D₄	—	2	8	no	—
653	C₂²×D₄	—	2	16	no	—
654	C₂²×D₄	—	2	16	no	—
655	C₂²×D₄	—	2	16	no	—
656	C₂²×D₄	—	2	16	no	—
657	C₂²×D₄	—	2	8	no	—
658	C₂²×D₄	—	4	8	no	—
659	C₂²×D₄	—	4	8	no	—
660	C₂²×D₄	—	4	8	no	—
661	C₂²×D₄	—	4	8	no	—
662	C₂²×D₄	—	4	8	no	—
663	C₂²×D₄	—	4	8	no	—
664	C₂²×D₄	—	4	4	no	—
665	C₂²×D₄	—	4	16	no	—
666	C₂²×D₄	—	4	4	no	—
667	C₂²×D₄	—	4	16	no	—
668	C₂²×D₄	—	4	16	no	—
669	C₂²×D₄	—	4	16	no	—
670	C₂²×D₄	—	4	16	no	—
671	C₂²×D₄	—	4	16	no	—
672	C₂²×D₄	—	4	16	no	—
673	C₂²×D₄	—	4	4	no	—
674	C₂²×D₄	—	4	16	no	—
675	C₂²×D₄	—	4	16	no	—
676	C₂²×D₄	—	4	128	no	—
677	C₂²×D₄	—	4	128	no	—
678	C₂²×D₄	C₂×D₄	1	8	yes	—
679	C₂²×D₄	C₂⁴	1	1	yes	characteristic
680	C₂²×D₄	C₂⁴	1	2	yes	—
681	C₂²×D₄	C₂⁴	1	2	yes	—
682	C₂²×D₄	C₂⁴	1	2	yes	—
683	C₂²×D₄	C₂⁴	1	2	yes	—
684	C₂²×D₄	C₂⁴	1	1	yes	characteristic
685	C₂²×D₄	C₂⁴	1	8	yes	—
686	C₂²×D₄	C₂⁴	1	4	yes	—
687	C₂²×D₄	C₂⁴	1	4	yes	—
688	C₂²×D₄	C₂⁴	1	2	yes	—
689	C₂²×D₄	C₂⁴	1	2	yes	—
690	C₂²×D₄	C₂⁴	1	1	yes	characteristic
691	C₂²×D₄	C₂⁴	1	4	yes	—
692	C₂²×D₄	C₂⁴	1	8	yes	—
693	C₂²×D₄	C₂⁴	1	8	yes	—
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	1	yes	characteristic
696	C₂²×D₄	C₂⁴	1	1	yes	characteristic
697	C₂²×D₄	C₂⁴	1	2	yes	—
698	C₂²×D₄	C₂⁴	1	4	yes	—
699	C₂²×D₄	C₂⁴	1	4	yes	—
700	C₂²×D₄	C₂⁴	1	4	yes	—
701	C₂²×D₄	C₂⁴	1	2	yes	—
702	C₂²×D₄	C₂⁴	1	8	yes	—
703	C₂²×D₄	C₂⁴	1	2	yes	—
704	C₂²×D₄	C₂⁴	1	8	yes	—
705	C₂²×D₄	C₂⁴	1	8	yes	—
706	C₂²×D₄	C₂⁴	1	2	yes	—
707	C₂²×D₄	C₂⁴	1	4	yes	—
708	C₂²×D₄	C₂⁴	1	4	yes	—
709	C₂²×D₄	C₂⁴	1	8	yes	—
710	C₂²×D₄	C₂⁴	1	8	yes	—
711	C₂²×D₄	C₂⁴	1	8	yes	—
712	C₂²×D₄	C₂⁴	1	1	yes	characteristic
713	C₂³×C₄	—	2	8	no	—
714	C₂³×C₄	—	2	8	no	—
715	C₂³×C₄	—	4	8	no	—
716	C₂³×C₄	—	4	8	no	—
717	C₂³×C₄	—	4	8	no	—
718	C₂³×C₄	C₂×D₄	1	16	yes	complemented
719	C₂³×C₄	C₂⁴	1	2	yes	—
720	C₂³×C₄	C₂⁴	1	1	yes	characteristic
721	C₂³×C₄	C₂⁴	1	1	yes	characteristic
722	C₂³×C₄	C₂⁴	1	2	yes	—
723	C₂³×C₄	C₂⁴	1	4	yes	—
724	C₂³×C₄	C₂⁴	1	1	yes	characteristic
725	C₂³×C₄	C₂⁴	1	1	yes	characteristic
726	C₂³×C₄	C₂⁴	1	2	yes	—
727	C₂³×C₄	C₂⁴	1	1	yes	characteristic
728	C₂³×C₄	C₂⁴	1	1	yes	characteristic
729	C₂³×C₄	C₂⁴	1	1	yes	characteristic
730	C₂³×C₄	C₂⁴	1	1	yes	characteristic
731	C₂³×C₄	C₂⁴	1	1	yes	characteristic
732	C₂³×C₄	C₂⁴	1	2	yes	—
733	C₂³×C₄	C₂⁴	1	2	yes	—
734	C₂³×C₄	C₂⁴	1	2	yes	—
735	C₂³×C₄	C₂⁴	1	2	yes	—
736	C₂³×C₄	C₂⁴	1	8	yes	—
737	C₂³×C₄	C₂⁴	1	2	yes	—
738	C₂³×C₄	C₂⁴	1	4	yes	—
739	C₂³×C₄	C₂⁴	1	2	yes	—
740	C₂³×C₄	C₂⁴	1	2	yes	—
741	C₂³×C₄	C₂⁴	1	2	yes	—
742	C₂³×C₄	C₂⁴	1	2	yes	—
743	C₄⋊Q₈	—	2	4	no	—
744	#127	—	2	4	no	—
745	#127	—	2	8	no	—
746	#127	—	2	8	no	—
747	#127	—	2	8	no	—
748	#127	—	2	8	no	—
749	#127	—	4	8	no	—
750	#127	—	4	16	no	—
751	#127	—	4	8	no	—
752	#126	—	2	8	no	—
753	#126	—	2	8	no	—
754	#126	—	2	8	no	—
755	#126	—	2	8	no	—
756	#125	—	2	8	no	—
757	#125	—	2	4	no	—
758	#125	—	2	4	no	—
759	#124	—	2	4	no	—
760	#124	—	2	8	no	—
761	#124	—	2	8	no	—
762	#124	—	2	4	no	—
763	#124	—	4	8	no	—
764	#124	—	4	16	no	—
765	#124	—	4	8	no	—
766	#123	—	2	8	no	—
767	#123	—	2	8	no	—
768	#123	—	2	8	no	—
769	#123	—	2	8	no	—
770	#123	—	2	8	no	—
771	#123	—	2	8	no	—
772	#123	—	2	8	no	—
773	#123	—	2	8	no	—
774	#123	—	4	16	no	—
775	C₂²⋊Q₈	—	2	8	no	—
776	C₂²⋊Q₈	—	2	4	no	—
777	C₂²⋊Q₈	—	2	8	no	—
778	C₂²⋊Q₈	—	2	8	no	—
779	C₂²⋊Q₈	—	2	4	no	—
780	C₂²⋊Q₈	—	2	8	no	—
781	C₂²⋊Q₈	—	2	8	no	—
782	C₂²⋊Q₈	—	4	8	no	—
783	#121	—	2	8	no	—
784	#121	—	2	4	no	—
785	#121	—	2	8	no	—
786	#121	—	2	4	no	—
787	#121	—	2	8	no	—
788	#121	—	2	16	no	—
789	#121	—	2	8	no	—
790	#121	—	2	16	no	—
791	#121	—	2	16	no	—
792	#121	—	2	16	no	—
793	#121	—	2	16	no	—
794	#121	—	2	8	no	—
795	#121	—	2	4	no	—
796	#121	—	2	8	no	—
797	#121	—	2	16	no	—
798	#121	—	2	16	no	—
799	#121	—	2	32	no	—
800	#121	—	2	4	no	—
801	#121	—	2	8	no	—
802	#121	—	2	8	no	—
803	#121	—	4	8	no	—
804	#121	—	4	16	no	—
805	#121	—	4	16	no	—
806	#121	—	4	8	no	—
807	#121	—	4	8	no	—
808	#121	—	4	8	no	—
809	#121	—	4	8	no	—
810	#121	—	4	8	no	—
811	#121	—	4	8	no	—
812	#121	—	4	8	no	—
813	#121	—	4	8	no	—
814	#121	—	4	16	no	—
815	#121	—	4	16	no	—
816	#120	—	2	8	no	—
817	#120	—	2	8	no	—
818	#120	—	2	8	no	—
819	#120	—	2	8	no	—
820	#120	—	2	16	no	—
821	#120	—	2	32	no	—
822	#120	—	2	32	no	—
823	#120	—	2	32	no	—
824	#120	—	2	32	no	—
825	#120	—	2	8	no	—
826	#120	—	4	16	no	—
827	#120	—	4	8	no	—
828	#120	—	4	8	no	—
829	#120	—	4	8	no	—
830	#120	—	4	4	no	—
831	#120	—	4	8	no	—
832	#120	—	4	16	no	—
833	#120	—	4	16	no	—
834	#120	—	4	16	no	—
835	#120	—	4	16	no	—
836	#120	—	4	16	no	—
837	#120	—	4	16	no	—
838	C₄×Q₈	—	2	4	no	—
839	C₄×Q₈	—	2	4	no	—
840	C₄×Q₈	—	2	4	no	—
841	C₄×Q₈	—	2	4	no	—
842	C₄×D₄	—	2	4	no	—
843	C₄×D₄	—	2	4	no	—
844	C₄×D₄	—	2	16	no	—
845	C₄×D₄	—	2	4	no	—
846	C₄×D₄	—	2	8	no	—
847	C₄×D₄	—	2	8	no	—
848	C₄×D₄	—	2	8	no	—
849	C₄×D₄	—	2	8	no	—
850	C₄×D₄	—	2	8	no	—
851	C₄×D₄	—	2	8	no	—
852	C₄×D₄	—	2	8	no	—
853	C₄×D₄	—	2	8	no	—
854	C₄×D₄	—	2	4	no	—
855	C₄×D₄	—	2	4	no	—
856	C₄×D₄	—	2	4	no	—
857	C₄×D₄	—	2	8	no	—
858	C₄×D₄	—	2	4	no	—
859	C₄×D₄	—	2	8	no	—
860	C₄×D₄	—	2	8	no	—
861	C₄×D₄	—	2	8	no	—
862	C₄×D₄	—	2	8	no	—
863	C₄×D₄	—	2	8	no	—
864	C₄×D₄	—	2	8	no	—
865	C₄×D₄	—	2	4	no	—
866	C₄×D₄	—	2	4	no	—
867	C₄×D₄	—	2	4	no	—
868	C₄×D₄	—	4	8	no	—
869	C₄×D₄	—	4	8	no	—
870	C₄×D₄	C₂×D₄	1	8	yes	—
871	C₄×D₄	C₂×D₄	1	8	yes	—
872	C₄×D₄	C₂×D₄	1	16	yes	complemented
873	C₄×D₄	C₂×D₄	1	8	yes	complemented
874	C₄×D₄	C₂×D₄	1	16	yes	complemented
875	C₄×D₄	C₂×D₄	1	8	yes	complemented
876	#117	—	2	4	no	—
877	#117	—	2	8	no	—
878	#117	—	2	4	no	—
879	#117	—	2	8	no	—
880	#117	—	2	4	no	—
881	#117	—	2	4	no	—
882	#117	—	2	8	no	—
883	#117	—	4	4	no	—
884	#117	—	4	8	no	—
885	C₂×C₄⋊C₄	—	2	4	no	—
886	C₂×C₄⋊C₄	—	2	8	no	—
887	C₂×C₄⋊C₄	—	2	4	no	—
888	C₂×C₄⋊C₄	—	4	8	no	—
889	C₂×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
890	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
891	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
892	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
894	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
897	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
898	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
899	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
900	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
903	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
908	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
909	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
910	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
911	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
912	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
913	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
914	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
915	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
916	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
917	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
918	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
919	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂×C₂²⋊C₄	—	2	8	no	—
923	C₂×C₂²⋊C₄	—	2	8	no	—
924	C₂×C₂²⋊C₄	—	2	16	no	—
925	C₂×C₂²⋊C₄	—	2	8	no	—
926	C₂×C₂²⋊C₄	—	2	8	no	—
927	C₂×C₂²⋊C₄	—	4	16	no	—
928	C₂×C₂²⋊C₄	—	4	8	no	—
929	C₂×C₂²⋊C₄	—	4	16	no	—
930	C₂×C₂²⋊C₄	—	4	16	no	—
931	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
932	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
934	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
935	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
936	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
937	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
938	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
939	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
940	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
941	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
942	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
944	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
945	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
946	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
947	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
948	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
949	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
950	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
951	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
952	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
953	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
955	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
959	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
960	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
961	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
962	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
963	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
964	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
965	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
966	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
967	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
968	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
969	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
970	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
971	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
972	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
973	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
974	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
975	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
976	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
977	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
979	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
980	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
981	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
982	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
983	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
984	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
985	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
986	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
987	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
988	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
989	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
990	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
991	C₂×C₄²	—	2	8	no	—
992	C₂×C₄²	—	2	4	no	—
993	C₂×C₄²	—	2	4	no	—
994	C₂×C₄²	C₂×D₄	1	8	yes	complemented
995	C₂×C₄²	C₂⁴	1	1	yes	characteristic
996	C₂×C₄²	C₂⁴	1	1	yes	characteristic
997	C₂×C₄²	C₂⁴	1	1	yes	characteristic
998	C₂×C₄²	C₂⁴	1	2	yes	—
999	C₂×C₄²	C₂⁴	1	2	yes	—
1000	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1001	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1002	C₂×C₄²	C₂⁴	1	2	yes	—
1003	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1004	C₂×C₄²	C₂⁴	1	4	yes	—
1005	C₂×C₄²	C₂⁴	1	4	yes	—
1006	C₂×C₄²	C₂⁴	1	8	yes	—
1007	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1008	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1009	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1010	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1011	#95	C₂⁴	1	2	yes	—
1012	#95	C₂⁴	1	4	yes	—
1013	#95	C₂⁴	1	8	yes	—
1014	#95	C₂⁴	1	2	yes	—
1015	#95	C₂⁴	1	4	yes	—
1016	#95	C₂⁴	1	8	yes	—
1017	#95	C₂⁴	1	4	yes	—
1018	#95	C₂⁴	1	4	yes	—
1019	#95	C₂⁴	1	4	yes	—
1020	#95	C₂⁴	1	4	yes	—
1021	#95	C₂⁴	1	4	yes	—
1022	#95	C₂⁴	1	4	yes	—
1023	#95	C₂⁴	1	4	yes	—
1024	#95	C₂⁴	1	8	yes	—
1025	#95	C₂⁴	1	8	yes	—
1026	C₂⁴	—	2	4	no	—
1027	C₂⁴	—	2	4	no	—
1028	C₂⁴	—	2	8	no	—
1029	C₂⁴	—	2	8	no	—
1030	C₂⁴	—	2	4	no	—
1031	C₂⁴	—	2	8	no	—
1032	C₂⁴	—	2	16	no	—
1033	C₂⁴	—	2	4	no	—
1034	C₂⁴	—	2	4	no	—
1035	C₂⁴	—	2	4	no	—
1036	C₂⁴	—	2	4	no	—
1037	C₂⁴	—	2	16	no	—
1038	C₂⁴	—	2	16	no	—
1039	C₂⁴	—	2	16	no	—
1040	C₂⁴	—	2	8	no	—
1041	C₂⁴	—	2	16	no	—
1042	C₂⁴	—	2	8	no	—
1043	C₂⁴	—	2	16	no	—
1044	C₂⁴	—	2	8	no	—
1045	C₂⁴	—	4	4	no	—
1046	C₂⁴	—	4	4	no	—
1047	C₂⁴	—	4	8	no	—
1048	C₂⁴	—	4	4	no	—
1049	C₂⁴	—	4	8	no	—
1050	C₂⁴	—	4	8	no	—
1051	C₂⁴	—	4	8	no	—
1052	C₂⁴	—	4	8	no	—
1053	C₂⁴	—	4	8	no	—
1054	C₂⁴	—	4	8	no	—
1055	C₂⁴	—	4	2	no	—
1056	C₂⁴	—	4	8	no	—
1057	C₂⁴	—	4	8	no	—
1058	C₂⁴	—	4	8	no	—
1059	C₂⁴	—	4	64	no	—
1060	C₂⁴	—	4	64	no	—
1061	C₂⁴	—	8	32	no	—
1062	C₂⁴	—	8	64	no	—
1063	C₂⁴	—	8	64	no	—
1064	C₂⁴	C₂²×D₄	1	8	yes	—
1065	C₂⁴	C₂⁵	1	8	yes	—
1066	C₂⁴	C₂⁵	1	2	yes	—
1067	C₂⁴	C₂⁵	1	1	yes	characteristic
1068	C₂⁴	C₂⁵	1	2	yes	—
1069	C₂⁴	C₂⁵	1	4	yes	—
1070	C₂⁴	C₂⁵	1	1	yes	characteristic
1071	C₂⁴	C₂⁵	1	2	yes	—
1072	C₂⁴	C₂⁵	1	1	yes	characteristic
1073	#41	—	4	16	no	—
1074	#41	—	4	16	no	—
1075	#41	—	8	16	no	—
1076	C₂×Q₈	—	2	2	no	—
1077	C₂×Q₈	—	2	2	no	—
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	2	4	no	—
1080	C₂×Q₈	—	2	2	no	—
1081	C₂×Q₈	—	4	1	no	—
1082	C₂×Q₈	—	4	4	no	—
1083	C₂×D₄	—	2	32	no	—
1084	C₂×D₄	—	2	2	no	—
1085	C₂×D₄	—	2	8	no	—
1086	C₂×D₄	—	2	8	no	—
1087	C₂×D₄	—	2	2	no	—
1088	C₂×D₄	—	2	32	no	—
1089	C₂×D₄	—	2	4	no	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	4	no	—
1092	C₂×D₄	—	2	4	no	—
1093	C₂×D₄	—	2	4	no	—
1094	C₂×D₄	—	2	4	no	—
1095	C₂×D₄	—	2	16	no	—
1096	C₂×D₄	—	2	16	no	—
1097	C₂×D₄	—	2	8	no	—
1098	C₂×D₄	—	2	4	no	—
1099	C₂×D₄	—	2	4	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	2	8	no	—
1102	C₂×D₄	—	2	8	no	—
1103	C₂×D₄	—	2	16	no	—
1104	C₂×D₄	—	2	8	no	—
1105	C₂×D₄	—	2	16	no	—
1106	C₂×D₄	—	2	16	no	—
1107	C₂×D₄	—	2	16	no	—
1108	C₂×D₄	—	2	2	no	—
1109	C₂×D₄	—	2	4	no	—
1110	C₂×D₄	—	2	2	no	—
1111	C₂×D₄	—	2	4	no	—
1112	C₂×D₄	—	2	4	no	—
1113	C₂×D₄	—	2	16	no	—
1114	C₂×D₄	—	2	8	no	—
1115	C₂×D₄	—	2	16	no	—
1116	C₂×D₄	—	2	4	no	—
1117	C₂×D₄	—	2	4	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	2	no	—
1120	C₂×D₄	—	2	16	no	—
1121	C₂×D₄	—	2	16	no	—
1122	C₂×D₄	—	2	8	no	—
1123	C₂×D₄	—	2	8	no	—
1124	C₂×D₄	—	2	8	no	—
1125	C₂×D₄	—	2	8	no	—
1126	C₂×D₄	—	2	8	no	—
1127	C₂×D₄	—	2	8	no	—
1128	C₂×D₄	—	2	4	no	—
1129	C₂×D₄	—	2	4	no	—
1130	C₂×D₄	—	2	4	no	—
1131	C₂×D₄	—	2	4	no	—
1132	C₂×D₄	—	2	4	no	—
1133	C₂×D₄	—	2	8	no	—
1134	C₂×D₄	—	2	8	no	—
1135	C₂×D₄	—	2	8	no	—
1136	C₂×D₄	—	2	8	no	—
1137	C₂×D₄	—	4	64	no	—
1138	C₂×D₄	—	4	64	no	—
1139	C₂×D₄	—	4	4	no	—
1140	C₂×D₄	—	4	8	no	—
1141	C₂×D₄	—	4	8	no	—
1142	C₂×D₄	—	4	8	no	—
1143	C₂×D₄	—	4	8	no	—
1144	C₂×D₄	—	4	8	no	—
1145	C₂×D₄	—	4	8	no	—
1146	C₂×D₄	—	4	2	no	—
1147	C₂×D₄	—	4	2	no	—
1148	C₂×D₄	—	4	1	no	—
1149	C₂×D₄	—	4	32	no	—
1150	C₂×D₄	—	4	32	no	—
1151	C₂×D₄	—	4	4	no	—
1152	C₂×D₄	—	4	8	no	—
1153	C₂×D₄	—	4	8	no	—
1154	C₂×D₄	—	4	4	no	—
1155	C₂×D₄	—	4	4	no	—
1156	C₂×D₄	—	4	8	no	—
1157	C₂×D₄	—	4	8	no	—
1158	C₂×D₄	—	4	4	no	—
1159	C₂×D₄	—	4	4	no	—
1160	C₂×D₄	—	4	8	no	—
1161	C₂×D₄	—	4	8	no	—
1162	C₂×D₄	—	4	8	no	—
1163	C₂×D₄	—	4	4	no	—
1164	C₂×D₄	—	4	4	no	—
1165	C₂×D₄	—	4	4	no	—
1166	C₂×D₄	—	4	4	no	—
1167	C₂×D₄	—	4	8	no	—
1168	C₂×D₄	—	4	8	no	—
1169	C₂×D₄	—	4	8	no	—
1170	C₂×D₄	—	4	8	no	—
1171	C₂×D₄	—	4	8	no	—
1172	C₂×D₄	—	4	8	no	—
1173	C₂×D₄	—	4	32	no	—
1174	C₂×D₄	—	4	64	no	—
1175	C₂×D₄	—	4	64	no	—
1176	C₂×D₄	—	4	128	no	—
1177	C₂×D₄	—	4	64	no	—
1178	C₂×D₄	—	4	64	no	—
1179	C₂×D₄	—	4	64	no	—
1180	C₂×D₄	—	4	16	no	—
1181	C₂×D₄	—	4	64	no	—
1182	C₂×D₄	—	8	16	no	—
1183	C₂×D₄	—	8	64	no	—
1184	C₂×D₄	C₂²×D₄	1	8	yes	—
1185	C₂×D₄	C₂²×D₄	1	4	yes	—
1186	C₂×D₄	C₂²×D₄	1	4	yes	—
1187	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1188	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1189	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1190	C₂²×C₄	—	2	2	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	8	no	—
1193	C₂²×C₄	—	2	8	no	—
1194	C₂²×C₄	—	2	4	no	—
1195	C₂²×C₄	—	2	4	no	—
1196	C₂²×C₄	—	2	4	no	—
1197	C₂²×C₄	—	2	4	no	—
1198	C₂²×C₄	—	2	4	no	—
1199	C₂²×C₄	—	2	8	no	—
1200	C₂²×C₄	—	2	2	no	—
1201	C₂²×C₄	—	2	4	no	—
1202	C₂²×C₄	—	2	16	no	—
1203	C₂²×C₄	—	2	2	no	—
1204	C₂²×C₄	—	2	2	no	—
1205	C₂²×C₄	—	2	2	no	—
1206	C₂²×C₄	—	2	2	no	—
1207	C₂²×C₄	—	2	2	no	—
1208	C₂²×C₄	—	2	2	no	—
1209	C₂²×C₄	—	2	4	no	—
1210	C₂²×C₄	—	2	8	no	—
1211	C₂²×C₄	—	2	8	no	—
1212	C₂²×C₄	—	2	4	no	—
1213	C₂²×C₄	—	2	4	no	—
1214	C₂²×C₄	—	2	4	no	—
1215	C₂²×C₄	—	2	8	no	—
1216	C₂²×C₄	—	2	8	no	—
1217	C₂²×C₄	—	2	4	no	—
1218	C₂²×C₄	—	2	8	no	—
1219	C₂²×C₄	—	2	4	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	4	no	—
1222	C₂²×C₄	—	2	4	no	—
1223	C₂²×C₄	—	4	32	no	—
1224	C₂²×C₄	—	4	4	no	—
1225	C₂²×C₄	—	4	4	no	—
1226	C₂²×C₄	—	4	4	no	—
1227	C₂²×C₄	—	4	4	no	—
1228	C₂²×C₄	—	4	4	no	—
1229	C₂²×C₄	—	4	4	no	—
1230	C₂²×C₄	—	4	2	no	—
1231	C₂²×C₄	—	4	1	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	4	no	—
1234	C₂²×C₄	—	4	8	no	—
1235	C₂²×C₄	—	4	8	no	—
1236	C₂²×C₄	—	4	4	no	—
1237	C₂²×C₄	—	4	4	no	—
1238	C₂²×C₄	—	4	32	no	—
1239	C₂²×C₄	—	8	16	no	—
1240	C₂²×C₄	C₂²×D₄	1	8	yes	—
1241	C₂²×C₄	C₂²×D₄	1	4	yes	—
1242	C₂²×C₄	C₂²×D₄	1	4	yes	—
1243	C₂²×C₄	C₂²×D₄	1	4	yes	—
1244	C₂²×C₄	C₂²×D₄	1	8	yes	—
1245	C₂²×C₄	C₂²×D₄	1	8	yes	—
1246	C₂²×C₄	C₂²×D₄	1	8	yes	—
1247	C₂²×C₄	C₂²×D₄	1	8	yes	—
1248	C₂²×C₄	C₂⁵	1	4	yes	—
1249	C₂²×C₄	C₂⁵	1	4	yes	—
1250	C₂²×C₄	C₂⁵	1	4	yes	—
1251	C₂²×C₄	C₂⁵	1	8	yes	—
1252	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁵	1	2	yes	—
1254	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁵	1	2	yes	—
1257	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁵	1	2	yes	—
1259	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁵	1	2	yes	—
1265	C₂²×C₄	C₂⁵	1	2	yes	—
1266	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	2	4	no	—
1271	C₄⋊C₄	—	2	4	no	—
1272	C₄⋊C₄	—	2	4	no	—
1273	C₄⋊C₄	—	2	2	no	—
1274	C₄⋊C₄	—	2	4	no	—
1275	C₄⋊C₄	—	2	4	no	—
1276	C₄⋊C₄	—	2	4	no	—
1277	C₄⋊C₄	—	2	2	no	—
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	4	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	2	no	—
1283	C₄⋊C₄	—	2	2	no	—
1284	C₄⋊C₄	—	2	4	no	—
1285	C₄⋊C₄	—	2	4	no	—
1286	C₄⋊C₄	—	2	4	no	—
1287	C₄⋊C₄	—	2	4	no	—
1288	C₄⋊C₄	—	2	4	no	—
1289	C₄⋊C₄	—	2	4	no	—
1290	C₄⋊C₄	—	2	8	no	—
1291	C₄⋊C₄	—	2	4	no	—
1292	C₄⋊C₄	—	2	8	no	—
1293	C₄⋊C₄	—	4	8	no	—
1294	C₄⋊C₄	—	4	4	no	—
1295	C₄⋊C₄	—	4	4	no	—
1296	C₄⋊C₄	—	4	4	no	—
1297	C₄⋊C₄	—	4	8	no	—
1298	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1299	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1300	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1301	C₂²⋊C₄	—	2	2	no	—
1302	C₂²⋊C₄	—	2	4	no	—
1303	C₂²⋊C₄	—	2	4	no	—
1304	C₂²⋊C₄	—	2	4	no	—
1305	C₂²⋊C₄	—	2	4	no	—
1306	C₂²⋊C₄	—	2	4	no	—
1307	C₂²⋊C₄	—	2	2	no	—
1308	C₂²⋊C₄	—	2	4	no	—
1309	C₂²⋊C₄	—	2	4	no	—
1310	C₂²⋊C₄	—	2	4	no	—
1311	C₂²⋊C₄	—	2	8	no	—
1312	C₂²⋊C₄	—	2	8	no	—
1313	C₂²⋊C₄	—	2	16	no	—
1314	C₂²⋊C₄	—	2	16	no	—
1315	C₂²⋊C₄	—	2	8	no	—
1316	C₂²⋊C₄	—	2	4	no	—
1317	C₂²⋊C₄	—	2	2	no	—
1318	C₂²⋊C₄	—	2	8	no	—
1319	C₂²⋊C₄	—	2	8	no	—
1320	C₂²⋊C₄	—	2	4	no	—
1321	C₂²⋊C₄	—	2	4	no	—
1322	C₂²⋊C₄	—	2	4	no	—
1323	C₂²⋊C₄	—	2	4	no	—
1324	C₂²⋊C₄	—	2	4	no	—
1325	C₂²⋊C₄	—	2	16	no	—
1326	C₂²⋊C₄	—	2	16	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	4	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	4	no	—
1332	C₂²⋊C₄	—	2	4	no	—
1333	C₂²⋊C₄	—	2	8	no	—
1334	C₂²⋊C₄	—	2	16	no	—
1335	C₂²⋊C₄	—	4	4	no	—
1336	C₂²⋊C₄	—	4	8	no	—
1337	C₂²⋊C₄	—	4	8	no	—
1338	C₂²⋊C₄	—	4	8	no	—
1339	C₂²⋊C₄	—	4	8	no	—
1340	C₂²⋊C₄	—	4	8	no	—
1341	C₂²⋊C₄	—	4	8	no	—
1342	C₂²⋊C₄	—	4	8	no	—
1343	C₂²⋊C₄	—	4	8	no	—
1344	C₂²⋊C₄	—	4	8	no	—
1345	C₂²⋊C₄	—	4	4	no	—
1346	C₂²⋊C₄	—	4	4	no	—
1347	C₂²⋊C₄	—	4	4	no	—
1348	C₂²⋊C₄	—	4	8	no	—
1349	C₂²⋊C₄	—	4	4	no	—
1350	C₂²⋊C₄	—	4	8	no	—
1351	C₂²⋊C₄	—	4	8	no	—
1352	C₂²⋊C₄	—	4	8	no	—
1353	C₂²⋊C₄	—	4	8	no	—
1354	C₂²⋊C₄	—	4	8	no	—
1355	C₂²⋊C₄	—	4	8	no	—
1356	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1357	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1358	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1359	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1360	C₄²	—	2	2	no	—
1361	C₄²	—	2	2	no	—
1362	C₄²	—	2	4	no	—
1363	C₄²	—	2	2	no	—
1364	C₄²	—	2	4	no	—
1365	C₄²	—	2	2	no	—
1366	C₄²	—	2	4	no	—
1367	C₄²	—	2	2	no	—
1368	C₄²	—	2	2	no	—
1369	C₄²	—	2	8	no	—
1370	C₄²	—	4	4	no	—
1371	C₄²	—	4	8	no	—
1372	C₄²	C₂²×D₄	1	4	yes	—
1373	C₄²	C₂²×D₄	1	4	yes	—
1374	C₄²	C₂²×D₄	1	4	yes	—
1375	C₄²	C₂²×D₄	1	4	yes	—
1376	C₂³	—	2	2	no	—
1377	C₂³	—	2	4	no	—
1378	C₂³	—	2	2	no	—
1379	C₂³	—	2	2	no	—
1380	C₂³	—	2	2	no	—
1381	C₂³	—	2	16	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	4	no	—
1384	C₂³	—	2	4	no	—
1385	C₂³	—	2	2	no	—
1386	C₂³	—	2	4	no	—
1387	C₂³	—	2	4	no	—
1388	C₂³	—	2	2	no	—
1389	C₂³	—	2	4	no	—
1390	C₂³	—	2	2	no	—
1391	C₂³	—	2	4	no	—
1392	C₂³	—	2	4	no	—
1393	C₂³	—	2	4	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	2	no	—
1396	C₂³	—	2	16	no	—
1397	C₂³	—	2	16	no	—
1398	C₂³	—	2	2	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	8	no	—
1401	C₂³	—	2	8	no	—
1402	C₂³	—	2	8	no	—
1403	C₂³	—	2	2	no	—
1404	C₂³	—	2	4	no	—
1405	C₂³	—	2	8	no	—
1406	C₂³	—	2	8	no	—
1407	C₂³	—	2	8	no	—
1408	C₂³	—	2	4	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	2	no	—
1411	C₂³	—	2	2	no	—
1412	C₂³	—	2	8	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	2	no	—
1415	C₂³	—	4	8	no	—
1416	C₂³	—	4	16	no	—
1417	C₂³	—	4	16	no	—
1418	C₂³	—	4	16	no	—
1419	C₂³	—	4	16	no	—
1420	C₂³	—	4	32	no	—
1421	C₂³	—	4	32	no	—
1422	C₂³	—	4	8	no	—
1423	C₂³	—	4	16	no	—
1424	C₂³	—	4	32	no	—
1425	C₂³	—	4	32	no	—
1426	C₂³	—	4	8	no	—
1427	C₂³	—	4	16	no	—
1428	C₂³	—	4	16	no	—
1429	C₂³	—	4	32	no	—
1430	C₂³	—	4	8	no	—
1431	C₂³	—	4	32	no	—
1432	C₂³	—	4	8	no	—
1433	C₂³	—	4	16	no	—
1434	C₂³	—	8	4	no	—
1435	C₂³	—	8	8	no	—
1436	C₂³	—	8	16	no	—
1437	C₂³	—	8	16	no	—
1438	C₂³	—	8	16	no	—
1439	C₂³	—	8	16	no	—
1440	C₂³	—	8	16	no	—
1441	C₂³	—	8	16	no	—
1442	C₂³	—	8	16	no	—
1443	C₂³	—	8	16	no	—
1444	C₂³	—	8	16	no	—
1445	C₂³	—	8	16	no	—
1446	C₂³	—	8	256	no	—
1447	C₂³	C₂³×D₄	1	4	yes	—
1448	C₂³	C₂³×D₄	1	4	yes	—
1449	C₂³	C₂³×D₄	1	2	yes	—
1450	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1451	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1452	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1453	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1454	C₂³	#585	1	2	yes	—
1455	C₂³	C₂⁶	1	1	yes	characteristic
1456	Q₈	—	4	4	no	—
1457	Q₈	—	4	4	no	—
1458	Q₈	—	8	4	no	—
1459	D₄	—	2	16	no	—
1460	D₄	—	2	16	no	—
1461	D₄	—	2	8	no	—
1462	D₄	—	2	8	no	—
1463	D₄	—	2	16	no	—
1464	D₄	—	4	8	no	—
1465	D₄	—	4	32	no	—
1466	D₄	—	4	32	no	—
1467	D₄	—	4	4	no	—
1468	D₄	—	4	16	no	—
1469	D₄	—	4	16	no	—
1470	D₄	—	4	8	no	—
1471	D₄	—	4	16	no	—
1472	D₄	—	4	32	no	—
1473	D₄	—	4	8	no	—
1474	D₄	—	4	32	no	—
1475	D₄	—	4	8	no	—
1476	D₄	—	4	8	no	—
1477	D₄	—	4	4	no	—
1478	D₄	—	4	4	no	—
1479	D₄	—	4	16	no	—
1480	D₄	—	4	16	no	—
1481	D₄	—	8	8	no	—
1482	D₄	—	8	8	no	—
1483	D₄	—	8	4	no	—
1484	D₄	—	8	8	no	—
1485	D₄	—	8	16	no	—
1486	D₄	—	8	16	no	—
1487	D₄	—	8	4	no	—
1488	D₄	—	8	4	no	—
1489	D₄	—	8	16	no	—
1490	D₄	—	16	8	no	—
1491	D₄	—	16	8	no	—
1492	D₄	#535	1	16	yes	complemented
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	4	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	4	no	—
1498	C₂×C₄	—	2	2	no	—
1499	C₂×C₄	—	2	2	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	8	no	—
1504	C₂×C₄	—	2	8	no	—
1505	C₂×C₄	—	2	8	no	—
1506	C₂×C₄	—	2	16	no	—
1507	C₂×C₄	—	2	16	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	2	no	—
1511	C₂×C₄	—	2	2	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	4	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	4	no	—
1518	C₂×C₄	—	2	4	no	—
1519	C₂×C₄	—	2	4	no	—
1520	C₂×C₄	—	2	8	no	—
1521	C₂×C₄	—	2	8	no	—
1522	C₂×C₄	—	2	2	no	—
1523	C₂×C₄	—	2	4	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	2	4	no	—
1526	C₂×C₄	—	2	8	no	—
1527	C₂×C₄	—	2	4	no	—
1528	C₂×C₄	—	2	2	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	2	no	—
1531	C₂×C₄	—	2	2	no	—
1532	C₂×C₄	—	2	4	no	—
1533	C₂×C₄	—	2	4	no	—
1534	C₂×C₄	—	2	4	no	—
1535	C₂×C₄	—	2	4	no	—
1536	C₂×C₄	—	2	2	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	4	8	no	—
1539	C₂×C₄	—	4	8	no	—
1540	C₂×C₄	—	4	8	no	—
1541	C₂×C₄	—	4	4	no	—
1542	C₂×C₄	—	4	8	no	—
1543	C₂×C₄	—	4	4	no	—
1544	C₂×C₄	—	4	16	no	—
1545	C₂×C₄	—	4	8	no	—
1546	C₂×C₄	—	4	8	no	—
1547	C₂×C₄	—	4	16	no	—
1548	C₂×C₄	—	4	4	no	—
1549	C₂×C₄	—	4	4	no	—
1550	C₂×C₄	—	4	4	no	—
1551	C₂×C₄	—	4	8	no	—
1552	C₂×C₄	—	4	4	no	—
1553	C₂×C₄	—	8	4	no	—
1554	C₂×C₄	—	8	4	no	—
1555	C₂×C₄	—	8	4	no	—
1556	C₂×C₄	—	8	16	no	—
1557	C₂×C₄	C₂³×D₄	1	2	yes	—
1558	C₂×C₄	C₂³×D₄	1	4	yes	—
1559	C₂×C₄	C₂³×D₄	1	2	yes	—
1560	C₂×C₄	C₂³×D₄	1	2	yes	—
1561	C₂×C₄	C₂³×D₄	1	2	yes	—
1562	C₂×C₄	C₂³×D₄	1	4	yes	—
1563	C₂×C₄	C₂³×D₄	1	2	yes	—
1564	C₂×C₄	C₂³×D₄	1	2	yes	—
1565	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1566	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1567	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1568	C₂²	—	2	8	no	—
1569	C₂²	—	2	4	no	—
1570	C₂²	—	2	4	no	—
1571	C₂²	—	2	8	no	—
1572	C₂²	—	2	2	no	—
1573	C₂²	—	2	4	no	—
1574	C₂²	—	2	4	no	—
1575	C₂²	—	2	2	no	—
1576	C₂²	—	2	4	no	—
1577	C₂²	—	2	8	no	—
1578	C₂²	—	2	8	no	—
1579	C₂²	—	2	4	no	—
1580	C₂²	—	2	8	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	2	4	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	4	32	no	—
1585	C₂²	—	4	32	no	—
1586	C₂²	—	4	4	no	—
1587	C₂²	—	4	4	no	—
1588	C₂²	—	4	4	no	—
1589	C₂²	—	4	4	no	—
1590	C₂²	—	4	2	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	4	no	—
1593	C₂²	—	4	4	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	4	no	—
1596	C₂²	—	4	8	no	—
1597	C₂²	—	4	2	no	—
1598	C₂²	—	4	8	no	—
1599	C₂²	—	4	2	no	—
1600	C₂²	—	4	4	no	—
1601	C₂²	—	4	8	no	—
1602	C₂²	—	4	8	no	—
1603	C₂²	—	4	2	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	8	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	2	no	—
1608	C₂²	—	4	8	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	8	no	—
1611	C₂²	—	4	2	no	—
1612	C₂²	—	8	16	no	—
1613	C₂²	—	8	64	no	—
1614	C₂²	—	8	32	no	—
1615	C₂²	—	8	64	no	—
1616	C₂²	C₂×#535	1	8	yes	—
1617	C₂²	#3488	1	4	yes	—
1618	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1619	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1620	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1621	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1622	C₂²	C₂×#585	1	1	yes	characteristic
1623	C₄	—	2	2	no	—
1624	C₄	—	2	4	no	—
1625	C₄	—	2	4	no	—
1626	C₄	—	2	2	no	—
1627	C₄	—	2	2	no	—
1628	C₄	—	2	2	no	—
1629	C₄	—	2	2	no	—
1630	C₄	—	4	4	no	—
1631	C₄	—	4	8	no	—
1632	C₄	—	4	4	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	2	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	2	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	4	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	2	no	—
1642	C₄	C₂×#535	1	4	yes	—
1643	C₄	#3484	1	4	yes	—
1644	C₂	—	2	4	no	—
1645	C₂	—	2	8	no	—
1646	C₂	—	4	8	no	—
1647	C₂	—	4	4	no	—
1648	C₂	—	4	2	no	—
1649	C₂	—	8	1	no	—
1650	C₂	—	8	2	no	—
1651	C₂	—	8	8	no	—
1652	C₂	C₂²×#535	1	1	yes	characteristic
1653	C₂	C₂×#3484	1	1	yes	characteristic
1654	C₂	C₂×#3488	1	1	yes	characteristic
1655	C₂	#63011	1	2	yes	—
1656	C₂	#63012	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×#3481	C₂	semidirect
2. C₂²×D₄²	C₂	semidirect
3. #42484	C₂	semidirect
4. #42480	C₂	semidirect
5. #40594	C₂	semidirect
6. #40590	C₂	semidirect
7. #39342	C₂	semidirect
8. #39132	C₂	semidirect
9. #39120	C₂	semidirect
10. #38910	C₂	semidirect
11. #38026	C₂	semidirect
12. #37833	C₂	semidirect
13. #37650	C₂	semidirect
14. #37645	C₂	semidirect
15. #37614	C₂	semidirect
16. #37439	C₂	semidirect
17. #36258	C₂	semidirect
18. #36152	C₂	semidirect
19. D₄×#121	C₂	semidirect
20. D₄×#120	C₂	semidirect
21. #35921	C₂	semidirect
22. #35903	C₂	semidirect
23. #35272	C₂	semidirect
24. #35236	C₂	semidirect
25. #35222	C₂	semidirect
26. #35076	C₂	semidirect
27. #34963	C₂	semidirect
28. C₂×#2408	C₂	semidirect
29. #34194	C₂	semidirect
31. C₂⁴×D₄	C₂²	semidirect
33. C₂×#559	C₂²	semidirect
34. C₂×#554	C₂²	semidirect
35. C₂×#554	C₂²	semidirect
36. C₂×#553	C₂²	semidirect
37. C₂×#553	C₂²	semidirect
38. C₂×#553	C₂²	semidirect
39. C₂×#551	C₂²	semidirect
40. C₂×#551	C₂²	semidirect
42. C₂×#546	C₂²	semidirect
43. C₂×#546	C₂²	semidirect
44. C₂×#546	C₂²	semidirect
49. C₂×D₄²	C₂²	semidirect
50. C₂×D₄²	C₂²	semidirect
51. C₂×D₄²	C₂²	semidirect
52. C₂×D₄²	C₂²	semidirect
53. C₂×D₄²	C₂²	semidirect
54. C₂×#535	C₂²	semidirect
55. C₂×#535	C₂²	semidirect
56. C₂×#532	C₂²	semidirect
57. C₂²×#127	C₂²	semidirect
58. C₂×#529	C₂²	semidirect
59. C₂×#529	C₂²	semidirect
60. C₂×#529	C₂²	semidirect
61. C₂×#525	C₂²	semidirect
62. C₂×#525	C₂²	semidirect
63. C₂²×#121	C₂²	semidirect
64. C₂²×#121	C₂²	semidirect
65. C₂²×#121	C₂²	semidirect
66. C₂²×#120	C₂²	semidirect
67. C₂²×#120	C₂²	semidirect
68. C₂×C₄×#41	C₂²	semidirect
69. C₂×C₄×#41	C₂²	semidirect
71. C₂²×C₄×D₄	C₂²	semidirect
72. C₂²×C₄×D₄	C₂²	semidirect
73. C₂²×C₄×D₄	C₂²	semidirect
74. #2856	C₂²	semidirect
75. #2856	C₂²	semidirect
76. #2854	C₂²	semidirect
77. #2848	C₂²	semidirect
78. #2847	C₂²	semidirect
79. #2847	C₂²	semidirect
80. #2846	C₂²	semidirect
81. #2846	C₂²	semidirect
82. #2818	C₂²	semidirect
83. #2813	C₂²	semidirect
84. #2813	C₂²	semidirect
85. #2714	C₂²	semidirect
86. #2711	C₂²	semidirect
87. #2685	C₂²	semidirect
88. #2685	C₂²	semidirect
89. #2678	C₂²	semidirect
90. #2678	C₂²	semidirect
91. #2676	C₂²	semidirect
92. #2673	C₂²	semidirect
93. #2670	C₂²	semidirect
94. #2670	C₂²	semidirect
95. #2669	C₂²	semidirect
96. #2669	C₂²	semidirect
97. #2657	C₂²	semidirect
98. #2656	C₂²	semidirect
99. #2641	C₂²	semidirect
100. #2639	C₂²	semidirect
101. #2636	C₂²	semidirect
102. #2635	C₂²	semidirect
103. #2635	C₂²	semidirect
104. #2626	C₂²	semidirect
105. #2624	C₂²	semidirect
106. #2619	C₂²	semidirect
107. #2619	C₂²	semidirect
108. #2619	C₂²	semidirect
109. #2617	C₂²	semidirect
110. #2615	C₂²	semidirect
111. #2613	C₂²	semidirect
112. #2613	C₂²	semidirect
113. #2613	C₂²	semidirect
114. #2598	C₂²	semidirect
115. #2598	C₂²	semidirect
116. #2591	C₂²	semidirect
117. #2580	C₂²	semidirect
118. #2562	C₂²	semidirect
119. #2548	C₂²	semidirect
120. #2548	C₂²	semidirect
121. #2548	C₂²	semidirect
122. #2541	C₂²	semidirect
123. #2541	C₂²	semidirect
124. #2541	C₂²	semidirect
125. #2541	C₂²	semidirect
126. #2540	C₂²	semidirect
127. #2540	C₂²	semidirect
128. #2539	C₂²	semidirect
129. #2539	C₂²	semidirect
130. #2538	C₂²	semidirect
131. #2537	C₂²	semidirect
132. #2535	C₂²	semidirect
133. #2491	C₂²	semidirect
134. #2490	C₂²	semidirect
135. #2487	C₂²	semidirect
136. #2487	C₂²	semidirect
137. #2487	C₂²	semidirect
138. #2482	C₂²	semidirect
139. #2472	C₂²	semidirect
140. #2472	C₂²	semidirect
141. #2435	C₂²	semidirect
142. #2435	C₂²	semidirect
143. #2435	C₂²	semidirect
144. #2435	C₂²	semidirect
145. #2433	C₂²	semidirect
146. #2433	C₂²	semidirect
147. #2433	C₂²	semidirect
148. #2433	C₂²	semidirect
149. #2433	C₂²	semidirect
150. #2428	C₂²	semidirect
151. #2426	C₂²	semidirect
152. #2424	C₂²	semidirect
153. #2424	C₂²	semidirect
154. #2416	C₂²	semidirect
155. #2416	C₂²	semidirect
156. #2416	C₂²	semidirect
157. #2414	C₂²	semidirect
158. #2414	C₂²	semidirect
159. #2414	C₂²	semidirect
160. #2411	C₂²	semidirect
161. #2411	C₂²	semidirect
162. #2410	C₂²	semidirect
163. #2410	C₂²	semidirect
164. #2410	C₂²	semidirect
165. #2410	C₂²	semidirect
166. #2410	C₂²	semidirect
168. #2408	C₂²	semidirect
169. #2408	C₂²	semidirect
170. #2408	C₂²	semidirect
171. #2408	C₂²	semidirect
172. #2408	C₂²	semidirect
173. #2408	C₂²	semidirect
174. #2408	C₂²	semidirect
175. #2408	C₂²	semidirect
176. #2408	C₂²	semidirect
177. #2408	C₂²	semidirect
178. #2408	C₂²	semidirect
179. #2408	C₂²	semidirect
180. #2408	C₂²	semidirect
181. #2408	C₂²	semidirect
182. #2408	C₂²	semidirect
183. #2408	C₂²	semidirect
184. #2408	C₂²	semidirect
185. #2408	C₂²	semidirect
186. #2405	C₂²	semidirect
187. #2405	C₂²	semidirect
188. #2404	C₂²	semidirect
189. #2403	C₂²	semidirect
190. #2403	C₂²	semidirect
191. #2398	C₂²	semidirect
192. #2397	C₂²	semidirect
193. C₂×#394	C₂²	semidirect
194. C₂×#392	C₂²	semidirect
195. #2354	C₂²	semidirect
196. #2352	C₂²	semidirect
197. D₄×C₄⋊C₄	C₂²	semidirect
198. #2345	C₂²	semidirect
199. #2342	C₂²	semidirect
201. D₄×C₂²⋊C₄	C₂²	semidirect
202. D₄×C₂²⋊C₄	C₂²	semidirect
203. #2324	C₂²	semidirect
204. #2321	C₂²	semidirect
205. #2321	C₂²	semidirect
206. #2319	C₂²	semidirect
207. #2318	C₂²	semidirect
208. #2309	C₂²	semidirect
209. #2309	C₂²	semidirect
210. C₄×#121	C₂²	semidirect
211. C₄×#121	C₂²	semidirect
212. C₄×#120	C₂²	semidirect
213. C₄×#120	C₂²	semidirect
214. C₂×#390	C₂²	semidirect
215. #2285	C₂²	semidirect
216. #2283	C₂²	semidirect
217. #2280	C₂²	semidirect
218. C₂×#380	C₂²	semidirect
219. C₂×#379	C₂²	semidirect
220. #2275	C₂²	semidirect
224. C₂²×#41	C₂³	semidirect
245. C₂³×D₄	C₂³	semidirect
248. C₂⁴×C₄	C₂³	semidirect
272. C₂×C₄⋊Q₈	C₂³	semidirect
279. C₂×#127	C₂³	semidirect
280. C₂×#127	C₂³	semidirect
281. C₂×#127	C₂³	semidirect
285. C₂×#126	C₂³	semidirect
286. C₂×#126	C₂³	semidirect
287. C₂×#126	C₂³	semidirect
288. C₂×#126	C₂³	semidirect
289. C₂×#125	C₂³	semidirect
290. C₂×#125	C₂³	semidirect
291. C₂×#125	C₂³	semidirect
293. C₂×#124	C₂³	semidirect
294. C₂×#124	C₂³	semidirect
295. C₂×#124	C₂³	semidirect
296. C₂×#124	C₂³	semidirect
297. C₂×#124	C₂³	semidirect
298. C₂×#124	C₂³	semidirect
303. C₂×#123	C₂³	semidirect
304. C₂×#123	C₂³	semidirect
305. C₂×#123	C₂³	semidirect
306. C₂×#123	C₂³	semidirect
307. C₂×#123	C₂³	semidirect
308. C₂×#123	C₂³	semidirect
309. C₂×#123	C₂³	semidirect
312. C₂×C₂²⋊Q₈	C₂³	semidirect
313. C₂×C₂²⋊Q₈	C₂³	semidirect
314. C₂×C₂²⋊Q₈	C₂³	semidirect
315. C₂×C₂²⋊Q₈	C₂³	semidirect
316. C₂×C₂²⋊Q₈	C₂³	semidirect
317. C₂×C₂²⋊Q₈	C₂³	semidirect
337. C₂×#121	C₂³	semidirect
338. C₂×#121	C₂³	semidirect
339. C₂×#121	C₂³	semidirect
340. C₂×#121	C₂³	semidirect
341. C₂×#121	C₂³	semidirect
342. C₂×#121	C₂³	semidirect
343. C₂×#121	C₂³	semidirect
344. C₂×#121	C₂³	semidirect
345. C₂×#121	C₂³	semidirect
346. C₂×#121	C₂³	semidirect
347. C₂×#121	C₂³	semidirect
348. C₂×#121	C₂³	semidirect
349. C₂×#121	C₂³	semidirect
350. C₂×#121	C₂³	semidirect
351. C₂×#121	C₂³	semidirect
352. C₂×#121	C₂³	semidirect
353. C₂×#121	C₂³	semidirect
370. C₂×#120	C₂³	semidirect
371. C₂×#120	C₂³	semidirect
372. C₂×#120	C₂³	semidirect
373. C₂×#120	C₂³	semidirect
374. C₂×#120	C₂³	semidirect
375. C₂×#120	C₂³	semidirect
376. C₂×#120	C₂³	semidirect
377. C₂×#120	C₂³	semidirect
380. C₂×C₄×Q₈	C₂³	semidirect
381. C₂×C₄×Q₈	C₂³	semidirect
382. C₂×C₄×Q₈	C₂³	semidirect
383. C₂×C₄×Q₈	C₂³	semidirect
387. C₂×C₄×D₄	D₄	semidirect
408. C₂×C₄×D₄	C₂³	semidirect
409. C₂×C₄×D₄	C₂³	semidirect
410. C₂×C₄×D₄	C₂³	semidirect
411. C₂×C₄×D₄	C₂³	semidirect
412. C₂×C₄×D₄	C₂³	semidirect
413. C₂×C₄×D₄	C₂³	semidirect
414. C₂×C₄×D₄	C₂³	semidirect
415. C₂×C₄×D₄	C₂³	semidirect
416. C₂×C₄×D₄	C₂³	semidirect
417. C₂×C₄×D₄	C₂³	semidirect
418. C₂×C₄×D₄	C₂³	semidirect
419. C₂×C₄×D₄	C₂³	semidirect
420. C₂×C₄×D₄	C₂³	semidirect
421. C₂×C₄×D₄	C₂³	semidirect
424. C₂×#117	C₂³	semidirect
425. C₂×#117	C₂³	semidirect
426. C₂×#117	C₂³	semidirect
427. C₂×#117	C₂³	semidirect
428. C₂×#117	C₂³	semidirect
429. C₂×#117	C₂³	semidirect
430. C₂×#117	C₂³	semidirect
433. C₂²×C₄⋊C₄	C₂³	semidirect
434. C₂²×C₄⋊C₄	C₂³	semidirect
435. C₂²×C₄⋊C₄	C₂³	semidirect
441. C₂²×C₂²⋊C₄	C₂³	semidirect
442. C₂²×C₂²⋊C₄	C₂³	semidirect
443. C₂²×C₂²⋊C₄	C₂³	semidirect
444. C₂²×C₂²⋊C₄	C₂³	semidirect
445. C₂²×C₂²⋊C₄	C₂³	semidirect
447. C₂²×C₄²	C₂³	semidirect
448. C₂²×C₄²	C₂³	semidirect
449. C₂²×C₄²	C₂³	semidirect
450. #400	C₂³	semidirect
451. #400	C₂³	semidirect
452. #400	C₂³	semidirect
453. #399	C₂³	semidirect
454. #399	C₂³	semidirect
455. #399	C₂³	semidirect
456. #399	C₂³	semidirect
457. #399	C₂³	semidirect
458. #397	C₂³	semidirect
459. #397	C₂³	semidirect
460. #396	C₂³	semidirect
461. #396	C₂³	semidirect
462. #396	C₂³	semidirect
466. #394	C₂³	semidirect
467. #394	C₂³	semidirect
468. #394	C₂³	semidirect
469. #394	C₂³	semidirect
470. #394	C₂³	semidirect
471. #394	C₂³	semidirect
472. #394	C₂³	semidirect
473. #394	C₂³	semidirect
474. #394	C₂³	semidirect
475. #394	C₂³	semidirect
476. #394	C₂³	semidirect
477. #394	C₂³	semidirect
478. #394	C₂³	semidirect
479. #394	C₂³	semidirect
480. #394	C₂³	semidirect
481. #394	C₂³	semidirect
482. #394	C₂³	semidirect
483. #394	C₂³	semidirect
484. #394	C₂³	semidirect
485. #394	C₂³	semidirect
486. #393	C₂³	semidirect
487. #393	C₂³	semidirect
491. #392	C₂³	semidirect
492. #392	C₂³	semidirect
493. #392	C₂³	semidirect
494. #392	C₂³	semidirect
495. #392	C₂³	semidirect
496. #392	C₂³	semidirect
497. #392	C₂³	semidirect
498. #392	C₂³	semidirect
499. #392	C₂³	semidirect
500. #392	C₂³	semidirect
501. #392	C₂³	semidirect
502. #392	C₂³	semidirect
503. #392	C₂³	semidirect
504. #392	C₂³	semidirect
505. #392	C₂³	semidirect
506. #392	C₂³	semidirect
507. #392	C₂³	semidirect
508. #392	C₂³	semidirect
509. #392	C₂³	semidirect
514. #390	C₂³	semidirect
515. #390	C₂³	semidirect
516. #390	C₂³	semidirect
517. #390	C₂³	semidirect
518. #390	C₂³	semidirect
519. #390	C₂³	semidirect
520. #390	C₂³	semidirect
521. #390	C₂³	semidirect
522. #390	C₂³	semidirect
523. #390	C₂³	semidirect
524. #390	C₂³	semidirect
525. #390	C₂³	semidirect
526. #390	C₂³	semidirect
527. #390	C₂³	semidirect
528. #390	C₂³	semidirect
529. #390	C₂³	semidirect
530. #390	C₂³	semidirect
531. #390	C₂³	semidirect
532. #390	C₂³	semidirect
533. #389	C₂³	semidirect
534. #389	C₂³	semidirect
535. #389	C₂³	semidirect
536. #389	C₂³	semidirect
537. #388	C₂³	semidirect
538. #388	C₂³	semidirect
539. #388	C₂³	semidirect
540. #388	C₂³	semidirect
541. #388	C₂³	semidirect
542. #388	C₂³	semidirect
543. #388	C₂³	semidirect
544. #388	C₂³	semidirect
545. #388	C₂³	semidirect
546. #387	C₂³	semidirect
551. #386	C₂³	semidirect
552. #386	C₂³	semidirect
553. #386	C₂³	semidirect
554. #386	C₂³	semidirect
555. #386	C₂³	semidirect
556. #386	C₂³	semidirect
557. #386	C₂³	semidirect
558. #386	C₂³	semidirect
559. #386	C₂³	semidirect
560. #386	C₂³	semidirect
561. #386	C₂³	semidirect
565. #385	C₂³	semidirect
566. #385	C₂³	semidirect
567. #385	C₂³	semidirect
568. #385	C₂³	semidirect
569. #384	C₂³	semidirect
570. #383	C₂³	semidirect
571. #382	C₂³	semidirect
572. #382	C₂³	semidirect
574. #381	C₂³	semidirect
580. #380	C₂³	semidirect
581. #380	C₂³	semidirect
582. #380	C₂³	semidirect
583. #380	C₂³	semidirect
584. #380	C₂³	semidirect
585. #380	C₂³	semidirect
586. #380	C₂³	semidirect
587. #380	C₂³	semidirect
596. #379	C₂³	semidirect
597. #379	C₂³	semidirect
598. #379	C₂³	semidirect
599. #379	C₂³	semidirect
600. #379	C₂³	semidirect
601. #379	C₂³	semidirect
602. C₄×C₄⋊C₄	C₂³	semidirect
603. C₄×C₄⋊C₄	C₂³	semidirect
604. C₄×C₄⋊C₄	C₂³	semidirect
605. C₄×C₄⋊C₄	C₂³	semidirect
608. C₄×C₂²⋊C₄	C₂³	semidirect
609. C₄×C₂²⋊C₄	C₂³	semidirect
610. C₄×C₂²⋊C₄	C₂³	semidirect
611. C₄×C₂²⋊C₄	C₂³	semidirect
612. #376	C₂³	semidirect
613. C₂×#95	C₂³	semidirect
718. C₂³×C₄	C₂×D₄	semidirect
872. C₄×D₄	C₂×D₄	semidirect
873. C₄×D₄	C₂×D₄	semidirect
874. C₄×D₄	C₂×D₄	semidirect
875. C₄×D₄	C₂×D₄	semidirect
889. C₂×C₄⋊C₄	C₂×D₄	semidirect
931. C₂×C₂²⋊C₄	C₂×D₄	semidirect
994. C₂×C₄²	C₂×D₄	semidirect
1492. D₄	#535	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3481	2
C₂²×D₄²	2
#42484	2
#42480	2
#40594	2
#40590	2
#39342	2
#39132	2
#39120	2
#38910	2
#38026	2
#37833	2
#37650	2
#37645	2
#37614	2
#37439	2
#36258	2
#36152	2
D₄×#121	2
D₄×#120	2
#35921	2
#35903	2
#35272	2
#35236	2
#35222	2
#35076	2
#34963	2
C₂×#2408	2
#34194	2