Subgroups — #7675700

Order 512.

9487 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	#59812	C₂	1	2	yes	maximal, complemented
4	#59568	C₂	1	2	yes	maximal, complemented
5	#59129	C₂	1	2	yes	maximal, complemented
6	#59103	C₂	1	2	yes	maximal, complemented
7	#59099	C₂	1	2	yes	maximal, complemented
8	#59035	C₂	1	2	yes	maximal, complemented
9	#59004	C₂	1	2	yes	maximal, complemented
10	#59000	C₂	1	2	yes	maximal, complemented
11	#43901	C₂	1	4	yes	maximal, complemented
12	#43118	C₂	1	4	yes	maximal, complemented
13	#43114	C₂	1	4	yes	maximal, complemented
14	#43013	C₂	1	4	yes	maximal, complemented
15	#39722	C₂	1	1	yes	maximal, characteristic, complemented
16	#39594	C₂	1	1	yes	maximal, characteristic, complemented
17	#38918	C₂	1	1	yes	maximal, characteristic, complemented
18	#38916	C₂	1	2	yes	maximal, complemented
19	#38906	C₂	1	1	yes	maximal, characteristic, complemented
20	#38904	C₂	1	2	yes	maximal, complemented
21	#37832	C₂	1	2	yes	maximal, complemented
22	#37644	C₂	1	2	yes	maximal, complemented
23	#36529	C₂	1	1	yes	maximal, characteristic, complemented
24	#36528	C₂	1	1	yes	maximal, characteristic, complemented
25	#36152	C₂	1	1	yes	maximal, characteristic, complemented
26	D₄×#120	C₂	1	1	yes	maximal, characteristic, complemented
27	#35394	C₂	1	2	yes	maximal, complemented
28	#35354	C₂	1	2	yes	maximal, complemented
29	#35031	C₂	1	1	yes	maximal, characteristic, complemented
30	#34988	C₂	1	2	yes	maximal, complemented
31	#34738	C₂	1	1	yes	maximal, characteristic, complemented
32	#34736	C₂	1	1	yes	maximal, characteristic, complemented
33	#34246	C₂	1	1	yes	maximal, characteristic, complemented
34	#34198	C₂	1	2	yes	maximal, complemented
35	C₄×#534	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂³×#41	C₂²	1	1	yes	characteristic, complemented
37	C₂⁴×D₄	C₂²	1	1	yes	characteristic, complemented
38	#3519	—	2	16	no	—
39	C₂×#555	C₂²	1	1	yes	characteristic, complemented
40	C₂×#554	C₂²	1	1	yes	characteristic, complemented
41	C₂×#553	C₂²	1	1	yes	characteristic, complemented
42	C₂×#553	C₂²	1	1	yes	characteristic, complemented
43	C₂×#553	C₂²	1	2	yes	complemented
44	C₂×#550	C₂²	1	1	yes	characteristic, complemented
45	C₂×#546	—	2	16	no	—
46	C₂×#546	C₂²	1	1	yes	characteristic
47	C₂×#546	C₂²	1	2	yes	—
48	C₂×#546	C₂²	1	4	yes	complemented
49	C₂×#546	C₂²	1	4	yes	complemented
50	C₂×#546	C₂²	1	2	yes	complemented
51	C₂×#546	C₂²	1	2	yes	complemented
52	C₂×#546	C₂²	1	2	yes	complemented
53	C₂×#546	C₂²	1	2	yes	complemented
54	C₂×#546	C₂²	1	2	yes	complemented
55	C₂×#546	C₂²	1	2	yes	complemented
56	C₂×#546	C₂²	1	1	yes	characteristic, complemented
57	C₂×D₄²	C₂²	1	1	yes	characteristic
58	C₂×D₄²	C₂²	1	2	yes	complemented
59	C₂×D₄²	C₂²	1	2	yes	complemented
60	C₂×#540	C₂²	1	2	yes	complemented
61	C₂×#538	C₂²	1	2	yes	complemented
62	C₂×#538	C₂²	1	2	yes	complemented
63	C₂×#534	C₂²	1	1	yes	characteristic
64	C₂×#532	C₂²	1	1	yes	characteristic, complemented
65	C₂×#532	C₂²	1	2	yes	complemented
66	C₂×#529	C₂²	1	1	yes	characteristic, complemented
67	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
68	C₂×#525	C₂²	1	1	yes	characteristic, complemented
69	C₂×#525	C₂²	1	1	yes	characteristic, complemented
70	C₂×#525	C₂²	1	2	yes	complemented
71	C₂²×#123	C₂²	1	2	yes	complemented
72	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
73	C₂²×#121	C₂²	1	1	yes	characteristic
74	C₂²×#121	C₂²	1	2	yes	complemented
75	C₂²×#121	C₂²	1	1	yes	characteristic, complemented
76	C₂²×#120	C₂²	1	2	yes	—
77	C₂²×#120	C₂²	1	2	yes	complemented
78	C₂×#518	C₂²	1	2	yes	complemented
79	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
80	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
81	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
82	C₂³×C₂²⋊C₄	C₂²	1	2	yes	complemented
83	#2855	C₂²	1	1	yes	characteristic, complemented
84	#2854	C₂²	1	1	yes	characteristic, complemented
85	#2848	C₂²	1	1	yes	characteristic, complemented
86	#2848	C₂²	1	2	yes	complemented
87	#2847	C₂²	1	1	yes	characteristic, complemented
88	#2847	C₂²	1	2	yes	complemented
89	#2846	C₂²	1	2	yes	complemented
90	#2846	C₂²	1	2	yes	complemented
91	#2723	C₂²	1	4	yes	complemented
92	#2720	C₂²	1	4	yes	complemented
93	#2717	C₂²	1	4	yes	complemented
94	#2708	C₂²	1	4	yes	complemented
95	#2708	C₂²	1	4	yes	complemented
96	#2697	C₂²	1	4	yes	complemented
97	#2696	C₂²	1	4	yes	complemented
98	#2692	C₂²	1	4	yes	complemented
99	#2688	C₂²	1	4	yes	complemented
100	#2688	C₂²	1	4	yes	complemented
101	#2686	C₂²	1	4	yes	complemented
102	#2686	C₂²	1	4	yes	complemented
103	#2684	C₂²	1	4	yes	complemented
104	#2684	C₂²	1	4	yes	complemented
105	#2679	C₂²	1	4	yes	complemented
106	#2678	C₂²	1	4	yes	complemented
107	#2678	C₂²	1	4	yes	complemented
108	#2671	C₂²	1	4	yes	complemented
109	#2671	C₂²	1	4	yes	complemented
110	#2669	C₂²	1	4	yes	complemented
111	#2668	C₂²	1	4	yes	complemented
112	#2668	C₂²	1	4	yes	complemented
113	#2668	C₂²	1	4	yes	complemented
114	#2668	C₂²	1	4	yes	complemented
115	#2626	C₂²	1	2	yes	complemented
116	#2622	C₂²	1	2	yes	complemented
117	#2622	C₂²	1	2	yes	complemented
118	#2622	C₂²	1	2	yes	complemented
119	#2617	C₂²	1	2	yes	complemented
120	#2613	C₂²	1	2	yes	complemented
121	#2602	C₂²	1	4	yes	complemented
122	#2600	C₂²	1	4	yes	complemented
123	#2561	C₂²	1	2	yes	complemented
124	#2557	C₂²	1	4	yes	complemented
125	#2557	C₂²	1	4	yes	complemented
126	#2553	C₂²	1	4	yes	complemented
127	#2553	C₂²	1	4	yes	complemented
128	#2547	C₂²	1	2	yes	complemented
129	#2544	C₂²	1	2	yes	complemented
130	#2542	C₂²	1	2	yes	complemented
131	#2540	C₂²	1	2	yes	complemented
132	#2539	C₂²	1	2	yes	complemented
133	#2537	C₂²	1	4	yes	complemented
134	#2535	C₂²	1	4	yes	complemented
135	#2534	C₂²	1	2	yes	complemented
136	#2534	C₂²	1	2	yes	complemented
137	#2534	C₂²	1	4	yes	complemented
138	#2504	C₂²	1	2	yes	complemented
139	#2502	C₂²	1	2	yes	complemented
140	#2492	C₂²	1	2	yes	complemented
141	#2489	C₂²	1	2	yes	complemented
142	#2487	C₂²	1	2	yes	complemented
143	#2487	C₂²	1	2	yes	complemented
144	#2485	C₂²	1	2	yes	complemented
145	#2483	C₂²	1	2	yes	complemented
146	#2480	C₂²	1	4	yes	complemented
147	#2480	C₂²	1	4	yes	complemented
148	#2472	C₂²	1	4	yes	complemented
149	#2472	C₂²	1	4	yes	complemented
150	#2470	C₂²	1	4	yes	complemented
151	#2470	C₂²	1	4	yes	complemented
152	#2467	C₂²	1	4	yes	complemented
153	#2464	C₂²	1	4	yes	complemented
154	#2464	C₂²	1	4	yes	complemented
155	#2463	C₂²	1	4	yes	complemented
156	#2460	C₂²	1	4	yes	complemented
157	#2457	C₂²	1	4	yes	complemented
158	#2457	C₂²	1	4	yes	complemented
159	#2456	C₂²	1	4	yes	complemented
160	#2455	C₂²	1	4	yes	complemented
161	#2455	C₂²	1	4	yes	complemented
162	#2454	C₂²	1	2	yes	complemented
163	#2452	C₂²	1	2	yes	complemented
164	#2447	C₂²	1	2	yes	complemented
165	#2447	C₂²	1	2	yes	complemented
166	#2436	C₂²	1	1	yes	characteristic, complemented
167	#2435	C₂²	1	2	yes	complemented
168	#2435	C₂²	1	1	yes	characteristic, complemented
169	#2435	C₂²	1	2	yes	complemented
170	#2434	C₂²	1	1	yes	characteristic, complemented
171	#2433	C₂²	1	1	yes	characteristic, complemented
172	#2433	C₂²	1	2	yes	complemented
173	#2432	C₂²	1	2	yes	complemented
174	#2432	C₂²	1	2	yes	complemented
175	#2431	C₂²	1	2	yes	complemented
176	#2430	C₂²	1	4	yes	complemented
177	#2429	C₂²	1	2	yes	complemented
178	#2428	C₂²	1	2	yes	complemented
179	#2428	C₂²	1	4	yes	complemented
180	#2427	C₂²	1	2	yes	complemented
181	#2427	C₂²	1	2	yes	complemented
182	#2427	C₂²	1	2	yes	complemented
183	#2427	C₂²	1	2	yes	complemented
184	#2427	C₂²	1	4	yes	complemented
185	#2424	C₂²	1	4	yes	complemented
186	#2424	C₂²	1	4	yes	complemented
187	#2424	C₂²	1	4	yes	complemented
188	#2424	C₂²	1	4	yes	complemented
189	#2422	C₂²	1	4	yes	complemented
190	#2422	C₂²	1	4	yes	complemented
191	#2422	C₂²	1	4	yes	complemented
192	#2420	C₂²	1	4	yes	complemented
193	#2418	C₂²	1	4	yes	complemented
194	#2418	C₂²	1	4	yes	complemented
195	#2418	C₂²	1	4	yes	complemented
196	#2418	C₂²	1	4	yes	complemented
197	#2418	C₂²	1	4	yes	complemented
198	#2418	C₂²	1	4	yes	complemented
199	#2417	C₂²	1	2	yes	complemented
200	#2415	C₂²	1	2	yes	complemented
201	#2415	C₂²	1	2	yes	complemented
202	#2414	C₂²	1	2	yes	complemented
203	#2412	C₂²	1	2	yes	complemented
204	#2412	C₂²	1	2	yes	complemented
205	#2410	C₂²	1	2	yes	complemented
206	#2410	C₂²	1	2	yes	complemented
207	#2410	C₂²	1	4	yes	complemented
208	#2410	C₂²	1	4	yes	complemented
209	#2410	C₂²	1	2	yes	complemented
210	#2410	C₂²	1	2	yes	complemented
211	#2409	C₂²	1	1	yes	characteristic, complemented
212	#2409	C₂²	1	1	yes	characteristic, complemented
213	#2408	C₂²	1	1	yes	characteristic
214	#2408	C₂²	1	2	yes	complemented
215	#2408	C₂²	1	1	yes	characteristic, complemented
216	#2408	C₂²	1	2	yes	complemented
217	#2408	C₂²	1	4	yes	complemented
218	#2408	C₂²	1	4	yes	complemented
219	#2407	C₂²	1	2	yes	complemented
220	#2407	C₂²	1	2	yes	complemented
221	#2407	C₂²	1	2	yes	complemented
222	#2407	C₂²	1	4	yes	complemented
223	#2406	C₂²	1	2	yes	complemented
224	#2405	C₂²	1	2	yes	complemented
225	#2405	C₂²	1	4	yes	complemented
226	#2405	C₂²	1	2	yes	complemented
227	#2405	C₂²	1	2	yes	complemented
228	#2404	C₂²	1	4	yes	complemented
229	#2404	C₂²	1	2	yes	complemented
230	#2403	C₂²	1	2	yes	—
231	#2403	C₂²	1	4	yes	complemented
232	#2403	C₂²	1	4	yes	complemented
233	#2403	C₂²	1	2	yes	complemented
234	#2388	C₂²	1	2	yes	complemented
235	#2388	C₂²	1	4	yes	complemented
236	#2388	C₂²	1	2	yes	complemented
237	#2367	C₂²	1	2	yes	complemented
238	#2366	C₂²	1	2	yes	complemented
239	#2364	C₂²	1	4	yes	complemented
240	#2363	C₂²	1	2	yes	complemented
241	#2363	C₂²	1	2	yes	complemented
242	#2363	C₂²	1	2	yes	complemented
243	#2361	C₂²	1	2	yes	complemented
244	#2358	C₂²	1	4	yes	complemented
245	#2358	C₂²	1	4	yes	complemented
246	#2358	C₂²	1	4	yes	complemented
247	#2358	C₂²	1	4	yes	complemented
248	#2345	C₂²	1	1	yes	characteristic, complemented
249	#2345	C₂²	1	1	yes	characteristic, complemented
250	#2342	C₂²	1	4	yes	complemented
251	#2342	C₂²	1	4	yes	complemented
252	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
253	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
254	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
255	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
256	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
257	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
258	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
259	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
260	#2333	C₂²	1	4	yes	complemented
261	#2325	C₂²	1	2	yes	complemented
262	#2325	C₂²	1	2	yes	complemented
263	#2322	C₂²	1	1	yes	characteristic, complemented
264	#2322	C₂²	1	2	yes	complemented
265	#2322	C₂²	1	1	yes	characteristic, complemented
266	#2322	C₂²	1	2	yes	complemented
267	#2321	C₂²	1	2	yes	—
268	#2321	C₂²	1	1	yes	characteristic
269	#2321	C₂²	1	1	yes	characteristic, complemented
270	#2321	C₂²	1	2	yes	complemented
271	#2321	C₂²	1	2	yes	complemented
272	#2321	C₂²	1	2	yes	complemented
273	#2315	C₂²	1	1	yes	characteristic, complemented
274	#2315	C₂²	1	2	yes	complemented
275	#2312	C₂²	1	2	yes	complemented
276	#2308	C₂²	1	1	yes	characteristic, complemented
277	#2308	C₂²	1	1	yes	characteristic, complemented
278	#2308	C₂²	1	2	yes	complemented
279	C₄×#123	C₂²	1	2	yes	complemented
280	C₄×#123	C₂²	1	1	yes	characteristic, complemented
281	C₄×#123	C₂²	1	1	yes	characteristic, complemented
282	C₄×#121	C₂²	1	2	yes	complemented
283	C₄×#121	C₂²	1	2	yes	complemented
284	C₄×#121	C₂²	1	2	yes	complemented
285	C₄×#121	C₂²	1	2	yes	complemented
286	C₄×#120	C₂²	1	1	yes	characteristic
287	C₄×#120	C₂²	1	1	yes	characteristic, complemented
288	C₄×#120	C₂²	1	2	yes	complemented
289	C₄×#120	C₂²	1	2	yes	complemented
290	C₄×#120	C₂²	1	2	yes	complemented
291	C₄×#120	C₂²	1	2	yes	complemented
292	C₄×#120	C₂²	1	2	yes	complemented
293	C₄×#120	C₂²	1	2	yes	complemented
294	C₄×#120	C₂²	1	2	yes	complemented
295	#2297	C₂²	1	2	yes	complemented
296	#2297	C₂²	1	2	yes	complemented
297	#2280	C₂²	1	1	yes	characteristic, complemented
298	C₂×#379	C₂²	1	2	yes	complemented
299	#2273	C₂²	1	2	yes	complemented
300	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
301	C₂⁶	C₂³	1	2	yes	—
302	C₂²×#41	—	2	8	no	—
303	C₂²×#41	—	4	8	no	—
304	C₂²×#41	C₂³	1	2	yes	—
305	C₂²×#41	C₂³	1	2	yes	—
306	C₂²×#41	C₂³	1	2	yes	—
307	C₂²×#41	C₂³	1	2	yes	—
308	C₂²×#41	C₂³	1	1	yes	characteristic
309	C₂²×#41	C₂³	1	1	yes	characteristic, complemented
310	C₂²×#41	C₂³	1	2	yes	complemented
311	C₂³×Q₈	C₂³	1	1	yes	characteristic
312	C₂³×D₄	—	2	8	no	—
313	C₂³×D₄	—	4	8	no	—
314	C₂³×D₄	C₂³	1	1	yes	characteristic
315	C₂³×D₄	C₂³	1	1	yes	characteristic
316	C₂³×D₄	C₂³	1	1	yes	characteristic
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	2	yes	—
321	C₂³×D₄	C₂³	1	4	yes	—
322	C₂³×D₄	C₂³	1	2	yes	—
323	C₂³×D₄	C₂³	1	1	yes	characteristic
324	C₂³×D₄	C₂³	1	4	yes	—
325	C₂³×D₄	C₂³	1	1	yes	characteristic
326	C₂³×D₄	C₂³	1	2	yes	—
327	C₂³×D₄	C₂³	1	2	yes	complemented
328	C₂⁴×C₄	C₂³	1	1	yes	characteristic
329	C₂⁴×C₄	C₂³	1	2	yes	—
330	C₂⁴×C₄	C₂³	1	2	yes	—
331	C₂⁴×C₄	C₂³	1	1	yes	characteristic
332	C₂⁴×C₄	C₂³	1	1	yes	characteristic, complemented
333	#555	—	2	8	no	—
334	#554	—	2	8	no	—
335	#553	—	2	16	no	—
336	#553	—	2	8	no	—
337	#553	—	2	8	no	—
338	#550	—	2	8	no	—
339	#546	—	2	8	no	—
340	#546	—	2	16	no	—
341	#546	—	2	16	no	—
342	#546	—	2	16	no	—
343	#546	—	2	8	no	—
344	#546	—	2	16	no	—
345	#546	—	2	32	no	—
346	#546	—	2	32	no	—
347	#546	—	2	16	no	—
348	#546	—	2	16	no	—
349	#546	—	4	8	no	—
350	D₄²	—	2	8	no	—
351	D₄²	—	2	16	no	—
352	D₄²	—	4	8	no	—
353	#540	—	2	16	no	—
354	#538	—	2	16	no	—
355	#538	—	2	16	no	—
356	#534	—	2	8	no	—
357	#532	—	2	8	no	—
358	#532	—	4	8	no	—
359	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
360	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
361	C₂×#127	C₂³	1	2	yes	—
362	C₂×#127	C₂³	1	1	yes	characteristic
363	C₂×#127	C₂³	1	2	yes	complemented
364	#529	—	2	8	no	—
365	C₂×#126	C₂³	1	2	yes	complemented
366	C₂×#126	C₂³	1	2	yes	complemented
367	C₂×#126	C₂³	1	2	yes	complemented
368	C₂×#125	C₂³	1	1	yes	characteristic, complemented
369	C₂×#125	C₂³	1	2	yes	complemented
370	C₂×#124	—	2	8	no	—
371	C₂×#124	C₂³	1	2	yes	—
372	C₂×#124	C₂³	1	2	yes	—
373	C₂×#124	C₂³	1	2	yes	—
374	C₂×#124	C₂³	1	4	yes	—
375	C₂×#124	C₂³	1	1	yes	characteristic
376	C₂×#124	C₂³	1	2	yes	complemented
377	C₂×#124	C₂³	1	2	yes	complemented
378	C₂×#124	C₂³	1	2	yes	complemented
379	C₂×#124	C₂³	1	2	yes	complemented
380	#525	—	2	8	no	—
381	#525	—	2	8	no	—
382	#525	—	4	8	no	—
383	C₂×#123	—	2	16	no	—
384	C₂×#123	C₂³	1	1	yes	characteristic
385	C₂×#123	C₂³	1	1	yes	characteristic
386	C₂×#123	C₂³	1	2	yes	—
387	C₂×#123	C₂³	1	2	yes	—
388	C₂×#123	C₂³	1	4	yes	—
389	C₂×#123	C₂³	1	4	yes	—
390	C₂×#123	C₂³	1	4	yes	—
391	C₂×#123	C₂³	1	4	yes	—
392	C₂×#123	C₂³	1	2	yes	—
393	C₂×#123	C₂³	1	4	yes	—
394	C₂×#123	C₂³	1	2	yes	complemented
395	C₂×#123	C₂³	1	2	yes	complemented
396	C₂×#123	C₂³	1	2	yes	complemented
397	C₂×#123	C₂³	1	2	yes	complemented
398	C₂×#123	C₂³	1	2	yes	complemented
399	C₂×#123	C₂³	1	2	yes	complemented
400	C₂×#123	C₂³	1	4	yes	complemented
401	C₂×C₂²⋊Q₈	—	2	8	no	—
402	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
403	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
405	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
406	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
407	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
408	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
409	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
410	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
411	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
412	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
413	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
414	C₂×#121	—	2	16	no	—
415	C₂×#121	—	2	8	no	—
416	C₂×#121	D₄	1	16	yes	complemented
417	C₂×#121	C₂³	1	2	yes	—
418	C₂×#121	C₂³	1	2	yes	—
419	C₂×#121	C₂³	1	1	yes	characteristic
420	C₂×#121	C₂³	1	2	yes	—
421	C₂×#121	C₂³	1	2	yes	—
422	C₂×#121	C₂³	1	2	yes	—
423	C₂×#121	C₂³	1	4	yes	—
424	C₂×#121	C₂³	1	1	yes	characteristic
425	C₂×#121	C₂³	1	1	yes	characteristic
426	C₂×#121	C₂³	1	4	yes	—
427	C₂×#121	C₂³	1	4	yes	—
428	C₂×#121	C₂³	1	4	yes	—
429	C₂×#121	C₂³	1	2	yes	—
430	C₂×#121	C₂³	1	2	yes	—
431	C₂×#121	C₂³	1	2	yes	—
432	C₂×#121	C₂³	1	4	yes	—
433	C₂×#121	C₂³	1	4	yes	—
434	C₂×#121	C₂³	1	1	yes	characteristic
435	C₂×#121	C₂³	1	1	yes	characteristic
436	C₂×#121	C₂³	1	2	yes	—
437	C₂×#121	C₂³	1	1	yes	characteristic
438	C₂×#121	C₂³	1	2	yes	—
439	C₂×#121	C₂³	1	1	yes	characteristic
440	C₂×#121	C₂³	1	1	yes	characteristic, complemented
441	C₂×#121	C₂³	1	2	yes	complemented
442	C₂×#121	C₂³	1	2	yes	complemented
443	C₂×#121	C₂³	1	1	yes	characteristic, complemented
444	C₂×#121	C₂³	1	2	yes	complemented
445	C₂×#121	C₂³	1	2	yes	complemented
446	C₂×#121	C₂³	1	2	yes	complemented
447	C₂×#121	C₂³	1	2	yes	complemented
448	C₂×#121	C₂³	1	2	yes	complemented
449	C₂×#121	C₂³	1	2	yes	complemented
450	C₂×#121	C₂³	1	4	yes	complemented
451	C₂×#121	C₂³	1	4	yes	complemented
452	C₂×#121	C₂³	1	4	yes	complemented
453	C₂×#120	—	2	16	no	—
454	C₂×#120	—	2	16	no	—
455	C₂×#120	C₂³	1	2	yes	—
456	C₂×#120	C₂³	1	1	yes	characteristic
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	4	yes	—
462	C₂×#120	C₂³	1	4	yes	—
463	C₂×#120	C₂³	1	2	yes	—
464	C₂×#120	C₂³	1	2	yes	—
465	C₂×#120	C₂³	1	4	yes	—
466	C₂×#120	C₂³	1	4	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	2	yes	—
471	C₂×#120	C₂³	1	2	yes	—
472	C₂×#120	C₂³	1	4	yes	—
473	C₂×#120	C₂³	1	4	yes	—
474	C₂×#120	C₂³	1	4	yes	—
475	C₂×#120	C₂³	1	4	yes	—
476	C₂×#120	C₂³	1	4	yes	—
477	C₂×#120	C₂³	1	1	yes	characteristic
478	C₂×#120	C₂³	1	2	yes	complemented
479	C₂×#120	C₂³	1	2	yes	complemented
480	C₂×#120	C₂³	1	4	yes	complemented
481	#518	—	2	16	no	—
482	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
483	C₂×C₄×D₄	—	2	8	no	—
484	C₂×C₄×D₄	—	2	8	no	—
485	C₂×C₄×D₄	—	2	8	no	—
486	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
499	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
500	C₂×C₄×D₄	C₂³	1	2	yes	—
501	C₂×C₄×D₄	C₂³	1	4	yes	—
502	C₂×C₄×D₄	C₂³	1	2	yes	—
503	C₂×C₄×D₄	C₂³	1	2	yes	—
504	C₂×C₄×D₄	C₂³	1	2	yes	—
505	C₂×C₄×D₄	C₂³	1	2	yes	—
506	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
507	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, 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	2	yes	complemented
511	C₂×C₄×D₄	C₂³	1	2	yes	complemented
512	C₂×C₄×D₄	C₂³	1	2	yes	complemented
513	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
514	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
515	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
516	C₂×C₄×D₄	C₂³	1	2	yes	complemented
517	C₂×C₄×D₄	C₂³	1	2	yes	complemented
518	C₂×C₄×D₄	C₂³	1	4	yes	complemented
519	C₂×C₄×D₄	C₂³	1	4	yes	complemented
520	C₂×C₄×D₄	C₂³	1	4	yes	complemented
521	C₂×C₄×D₄	C₂³	1	4	yes	complemented
522	C₂×C₄×D₄	C₂³	1	4	yes	complemented
523	C₂×C₄×D₄	C₂³	1	4	yes	complemented
524	C₂×C₄×D₄	C₂³	1	4	yes	complemented
525	C₂×C₄×D₄	C₂³	1	4	yes	complemented
526	C₂×#117	C₂³	1	2	yes	complemented
527	C₂×#117	C₂³	1	2	yes	complemented
528	C₂×#117	C₂³	1	1	yes	characteristic, complemented
529	C₂×#117	C₂³	1	1	yes	characteristic, complemented
530	C₂×#117	C₂³	1	2	yes	complemented
531	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
532	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
533	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
534	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
535	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
536	C₂²×C₂²⋊C₄	—	2	16	no	—
537	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
538	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
539	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
540	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
541	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
542	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
543	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
544	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
545	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
546	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
547	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
548	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
549	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
550	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
551	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
552	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
553	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
554	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
555	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
556	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
557	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
558	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
559	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
560	C₂²×C₄²	C₂³	1	1	yes	characteristic
561	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
562	C₂²×C₄²	C₂³	1	2	yes	complemented
563	#400	C₂³	1	4	yes	complemented
564	#400	C₂³	1	4	yes	complemented
565	#399	C₂³	1	4	yes	—
566	#399	C₂³	1	4	yes	complemented
567	#399	C₂³	1	4	yes	complemented
568	#399	C₂³	1	4	yes	complemented
569	#398	C₂³	1	4	yes	complemented
570	#398	C₂³	1	4	yes	complemented
571	#397	C₂³	1	4	yes	—
572	#397	C₂³	1	4	yes	complemented
573	#397	C₂³	1	4	yes	complemented
574	#397	C₂³	1	4	yes	complemented
575	#397	C₂³	1	4	yes	complemented
576	#397	C₂³	1	4	yes	complemented
577	#397	C₂³	1	4	yes	complemented
578	#397	C₂³	1	4	yes	complemented
579	#397	C₂³	1	4	yes	complemented
580	#397	C₂³	1	4	yes	complemented
581	#397	C₂³	1	4	yes	complemented
582	#397	C₂³	1	4	yes	complemented
583	#397	C₂³	1	4	yes	complemented
584	#397	C₂³	1	4	yes	complemented
585	#396	C₂³	1	4	yes	—
586	#396	C₂³	1	4	yes	—
587	#396	C₂³	1	4	yes	complemented
588	#396	C₂³	1	4	yes	complemented
589	#395	C₂³	1	2	yes	complemented
590	#395	C₂³	1	2	yes	complemented
591	#395	C₂³	1	4	yes	complemented
592	#394	C₂³	1	4	yes	—
593	#394	C₂³	1	4	yes	—
594	#394	C₂³	1	4	yes	—
595	#394	C₂³	1	4	yes	—
596	#394	C₂³	1	2	yes	—
597	#394	C₂³	1	4	yes	—
598	#394	C₂³	1	2	yes	—
599	#394	C₂³	1	4	yes	—
600	#394	C₂³	1	4	yes	—
601	#394	C₂³	1	4	yes	—
602	#394	C₂³	1	4	yes	—
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	#394	C₂³	1	4	yes	complemented
609	#394	C₂³	1	4	yes	complemented
610	#394	C₂³	1	4	yes	complemented
611	#394	C₂³	1	4	yes	complemented
612	#394	C₂³	1	4	yes	complemented
613	#394	C₂³	1	4	yes	complemented
614	#394	C₂³	1	4	yes	complemented
615	#394	C₂³	1	4	yes	complemented
616	#394	C₂³	1	4	yes	complemented
617	#394	C₂³	1	4	yes	complemented
618	#394	C₂³	1	4	yes	complemented
619	#393	C₂³	1	4	yes	—
620	#393	C₂³	1	4	yes	complemented
621	#393	C₂³	1	2	yes	complemented
622	#393	C₂³	1	2	yes	complemented
623	#393	C₂³	1	4	yes	complemented
624	#392	C₂³	1	4	yes	—
625	#392	C₂³	1	4	yes	—
626	#392	C₂³	1	4	yes	—
627	#392	C₂³	1	2	yes	—
628	#392	C₂³	1	4	yes	—
629	#392	C₂³	1	2	yes	—
630	#392	C₂³	1	4	yes	—
631	#392	C₂³	1	4	yes	—
632	#392	C₂³	1	4	yes	—
633	#392	C₂³	1	4	yes	—
634	#392	C₂³	1	4	yes	complemented
635	#392	C₂³	1	4	yes	complemented
636	#392	C₂³	1	4	yes	complemented
637	#392	C₂³	1	4	yes	complemented
638	#392	C₂³	1	4	yes	complemented
639	#391	C₂³	1	2	yes	complemented
640	#391	C₂³	1	2	yes	complemented
641	#391	C₂³	1	2	yes	complemented
642	#391	C₂³	1	4	yes	complemented
643	#391	C₂³	1	2	yes	complemented
644	#391	C₂³	1	2	yes	complemented
645	#390	C₂³	1	2	yes	—
646	#390	C₂³	1	4	yes	—
647	#390	C₂³	1	2	yes	—
648	#390	C₂³	1	4	yes	—
649	#390	C₂³	1	4	yes	—
650	#390	C₂³	1	2	yes	—
651	#390	C₂³	1	2	yes	—
652	#390	C₂³	1	2	yes	—
653	#390	C₂³	1	2	yes	—
654	#390	C₂³	1	2	yes	—
655	#390	C₂³	1	2	yes	—
656	#390	C₂³	1	4	yes	complemented
657	#390	C₂³	1	4	yes	complemented
658	#390	C₂³	1	2	yes	complemented
659	#390	C₂³	1	4	yes	complemented
660	#390	C₂³	1	4	yes	complemented
661	#390	C₂³	1	4	yes	complemented
662	#389	C₂³	1	2	yes	complemented
663	#389	C₂³	1	2	yes	complemented
664	#389	C₂³	1	4	yes	complemented
665	#389	C₂³	1	2	yes	complemented
666	#389	C₂³	1	2	yes	complemented
667	#389	C₂³	1	2	yes	complemented
668	#389	C₂³	1	2	yes	complemented
669	#389	C₂³	1	4	yes	complemented
670	#389	C₂³	1	4	yes	complemented
671	#388	C₂³	1	2	yes	—
672	#388	C₂³	1	2	yes	—
673	#388	C₂³	1	4	yes	—
674	#388	C₂³	1	4	yes	—
675	#388	C₂³	1	2	yes	—
676	#388	C₂³	1	2	yes	—
677	#388	C₂³	1	4	yes	—
678	#388	C₂³	1	4	yes	—
679	#388	C₂³	1	4	yes	—
680	#388	C₂³	1	4	yes	—
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	2	yes	complemented
688	#388	C₂³	1	2	yes	complemented
689	#388	C₂³	1	2	yes	complemented
690	#388	C₂³	1	2	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	#387	C₂³	1	2	yes	complemented
696	#387	C₂³	1	2	yes	complemented
697	#387	C₂³	1	2	yes	complemented
698	#387	C₂³	1	2	yes	complemented
699	#387	C₂³	1	4	yes	complemented
700	#387	C₂³	1	4	yes	complemented
701	#387	C₂³	1	4	yes	complemented
702	#387	C₂³	1	4	yes	complemented
703	#386	C₂³	1	1	yes	characteristic
704	#386	C₂³	1	2	yes	—
705	#386	C₂³	1	1	yes	characteristic
706	#386	C₂³	1	2	yes	—
707	#386	C₂³	1	2	yes	—
708	#386	C₂³	1	2	yes	—
709	#386	C₂³	1	1	yes	characteristic
710	#386	C₂³	1	1	yes	characteristic
711	#386	C₂³	1	2	yes	—
712	#386	C₂³	1	2	yes	—
713	#386	C₂³	1	2	yes	—
714	#386	C₂³	1	2	yes	—
715	#386	C₂³	1	4	yes	—
716	#386	C₂³	1	2	yes	—
717	#386	C₂³	1	2	yes	—
718	#386	C₂³	1	2	yes	—
719	#386	C₂³	1	4	yes	—
720	#386	C₂³	1	4	yes	—
721	#386	C₂³	1	2	yes	—
722	#386	C₂³	1	4	yes	—
723	#386	C₂³	1	4	yes	—
724	#386	C₂³	1	4	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	2	yes	—
730	#386	C₂³	1	2	yes	—
731	#386	C₂³	1	2	yes	complemented
732	#386	C₂³	1	2	yes	complemented
733	#386	C₂³	1	4	yes	complemented
734	#386	C₂³	1	4	yes	complemented
735	#386	C₂³	1	4	yes	complemented
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	#386	C₂³	1	4	yes	complemented
751	#386	C₂³	1	4	yes	complemented
752	#386	C₂³	1	4	yes	complemented
753	#386	C₂³	1	4	yes	complemented
754	#386	C₂³	1	4	yes	complemented
755	#385	C₂³	1	1	yes	characteristic
756	#385	C₂³	1	2	yes	—
757	#385	C₂³	1	1	yes	characteristic
758	#385	C₂³	1	2	yes	—
759	#385	C₂³	1	2	yes	—
760	#385	C₂³	1	1	yes	characteristic
761	#385	C₂³	1	1	yes	characteristic
762	#385	C₂³	1	2	yes	—
763	#385	C₂³	1	2	yes	—
764	#385	C₂³	1	2	yes	—
765	#385	C₂³	1	4	yes	—
766	#385	C₂³	1	2	yes	—
767	#385	C₂³	1	2	yes	—
768	#385	C₂³	1	2	yes	complemented
769	#385	C₂³	1	2	yes	complemented
770	#385	C₂³	1	4	yes	complemented
771	#385	C₂³	1	4	yes	complemented
772	#385	C₂³	1	2	yes	complemented
773	#385	C₂³	1	2	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	#385	C₂³	1	4	yes	complemented
779	#385	C₂³	1	4	yes	complemented
780	#385	C₂³	1	4	yes	complemented
781	#385	C₂³	1	4	yes	complemented
782	#385	C₂³	1	4	yes	complemented
783	#385	C₂³	1	4	yes	complemented
784	#385	C₂³	1	4	yes	complemented
785	#384	C₂³	1	4	yes	complemented
786	#382	C₂³	1	4	yes	complemented
787	#381	C₂³	1	1	yes	characteristic
788	#381	C₂³	1	2	yes	—
789	#381	C₂³	1	1	yes	characteristic
790	#381	C₂³	1	2	yes	complemented
791	#381	C₂³	1	4	yes	complemented
792	#381	C₂³	1	2	yes	complemented
793	#381	C₂³	1	4	yes	complemented
794	#380	C₂³	1	2	yes	—
795	#380	C₂³	1	2	yes	—
796	#380	C₂³	1	1	yes	characteristic
797	#380	C₂³	1	2	yes	—
798	#380	C₂³	1	1	yes	characteristic
799	#380	C₂³	1	2	yes	—
800	#380	C₂³	1	2	yes	complemented
801	#380	C₂³	1	2	yes	complemented
802	#380	C₂³	1	4	yes	complemented
803	#380	C₂³	1	4	yes	complemented
804	#380	C₂³	1	4	yes	complemented
805	#380	C₂³	1	4	yes	complemented
806	#380	C₂³	1	2	yes	complemented
807	#380	C₂³	1	4	yes	complemented
808	#380	C₂³	1	4	yes	complemented
809	#380	C₂³	1	4	yes	complemented
810	#380	C₂³	1	4	yes	complemented
811	#379	C₂³	1	2	yes	—
812	#379	C₂³	1	2	yes	—
813	#379	C₂³	1	1	yes	characteristic
814	#379	C₂³	1	1	yes	characteristic
815	#379	C₂³	1	2	yes	—
816	#379	C₂³	1	2	yes	—
817	#379	C₂³	1	2	yes	—
818	#379	C₂³	1	2	yes	—
819	#379	C₂³	1	4	yes	—
820	#379	C₂³	1	4	yes	—
821	#379	C₂³	1	4	yes	—
822	#379	C₂³	1	4	yes	—
823	#379	C₂³	1	2	yes	—
824	#379	C₂³	1	4	yes	—
825	#379	C₂³	1	4	yes	—
826	#379	C₂³	1	2	yes	—
827	#379	C₂³	1	2	yes	complemented
828	#379	C₂³	1	4	yes	complemented
829	#379	C₂³	1	4	yes	complemented
830	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
831	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
832	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
833	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
834	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
835	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
836	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
837	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
838	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
839	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
840	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
841	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
842	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
843	C₄×C₂²⋊C₄	C₂³	1	2	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	4	yes	complemented
850	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
851	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
852	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
853	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
854	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
855	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
856	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
857	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
858	C₂×#95	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	—	8	4	no	—
864	C₂⁵	C₂⁴	1	2	yes	—
865	C₂⁵	C₂⁴	1	4	yes	—
866	C₂⁵	C₂⁴	1	4	yes	—
867	C₂⁵	C₂⁴	1	2	yes	—
868	C₂⁵	C₂⁴	1	1	yes	characteristic
869	C₂⁵	C₂⁴	1	2	yes	—
870	C₂⁵	C₂⁴	1	1	yes	characteristic
871	C₂⁵	C₂⁴	1	1	yes	characteristic
872	C₂×#41	—	2	4	no	—
873	C₂×#41	—	2	8	no	—
874	C₂×#41	—	2	8	no	—
875	C₂×#41	—	2	8	no	—
876	C₂×#41	—	2	8	no	—
877	C₂×#41	—	2	8	no	—
878	C₂×#41	—	2	8	no	—
879	C₂×#41	—	2	8	no	—
880	C₂×#41	—	2	4	no	—
881	C₂×#41	—	4	8	no	—
882	C₂×#41	—	4	8	no	—
883	C₂×#41	—	4	4	no	—
884	C₂×#41	—	4	4	no	—
885	C₂×#41	—	4	4	no	—
886	C₂×#41	—	4	4	no	—
887	C₂×#41	—	4	64	no	—
888	C₂×#41	—	8	4	no	—
889	C₂²×Q₈	—	2	4	no	—
890	C₂²×Q₈	—	4	4	no	—
891	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
892	C₂²×Q₈	C₂⁴	1	2	yes	—
893	C₂²×Q₈	C₂⁴	1	2	yes	—
894	C₂²×Q₈	C₂⁴	1	2	yes	—
895	C₂²×D₄	—	2	8	no	—
896	C₂²×D₄	—	2	4	no	—
897	C₂²×D₄	—	2	4	no	—
898	C₂²×D₄	—	2	8	no	—
899	C₂²×D₄	—	2	8	no	—
900	C₂²×D₄	—	2	8	no	—
901	C₂²×D₄	—	2	4	no	—
902	C₂²×D₄	—	2	8	no	—
903	C₂²×D₄	—	2	8	no	—
904	C₂²×D₄	—	2	16	no	—
905	C₂²×D₄	—	2	8	no	—
906	C₂²×D₄	—	2	4	no	—
907	C₂²×D₄	—	2	8	no	—
908	C₂²×D₄	—	2	8	no	—
909	C₂²×D₄	—	2	4	no	—
910	C₂²×D₄	—	2	8	no	—
911	C₂²×D₄	—	2	16	no	—
912	C₂²×D₄	—	2	4	no	—
913	C₂²×D₄	—	4	4	no	—
914	C₂²×D₄	—	4	4	no	—
915	C₂²×D₄	—	4	4	no	—
916	C₂²×D₄	—	4	4	no	—
917	C₂²×D₄	—	4	2	no	—
918	C₂²×D₄	—	4	8	no	—
919	C₂²×D₄	—	4	8	no	—
920	C₂²×D₄	—	4	8	no	—
921	C₂²×D₄	—	4	2	no	—
922	C₂²×D₄	—	4	4	no	—
923	C₂²×D₄	—	4	8	no	—
924	C₂²×D₄	—	4	8	no	—
925	C₂²×D₄	—	4	64	no	—
926	C₂²×D₄	—	8	4	no	—
927	C₂²×D₄	—	8	4	no	—
928	C₂²×D₄	—	8	4	no	—
929	C₂²×D₄	C₂×D₄	1	8	yes	—
930	C₂²×D₄	C₂×D₄	1	16	yes	complemented
931	C₂²×D₄	C₂⁴	1	2	yes	—
932	C₂²×D₄	C₂⁴	1	1	yes	characteristic
933	C₂²×D₄	C₂⁴	1	2	yes	—
934	C₂²×D₄	C₂⁴	1	1	yes	characteristic
935	C₂²×D₄	C₂⁴	1	2	yes	—
936	C₂²×D₄	C₂⁴	1	2	yes	—
937	C₂²×D₄	C₂⁴	1	2	yes	—
938	C₂²×D₄	C₂⁴	1	4	yes	—
939	C₂²×D₄	C₂⁴	1	2	yes	—
940	C₂²×D₄	C₂⁴	1	4	yes	—
941	C₂²×D₄	C₂⁴	1	1	yes	characteristic
942	C₂²×D₄	C₂⁴	1	1	yes	characteristic
943	C₂²×D₄	C₂⁴	1	4	yes	—
944	C₂²×D₄	C₂⁴	1	4	yes	—
945	C₂²×D₄	C₂⁴	1	4	yes	—
946	C₂²×D₄	C₂⁴	1	4	yes	—
947	C₂²×D₄	C₂⁴	1	1	yes	characteristic
948	C₂²×D₄	C₂⁴	1	1	yes	characteristic
949	C₂²×D₄	C₂⁴	1	1	yes	characteristic
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	C₂²×D₄	C₂⁴	1	4	yes	—
956	C₂²×D₄	C₂⁴	1	2	yes	—
957	C₂²×D₄	C₂⁴	1	2	yes	—
958	C₂²×D₄	C₂⁴	1	2	yes	—
959	C₂²×D₄	C₂⁴	1	2	yes	—
960	C₂²×D₄	C₂⁴	1	2	yes	—
961	C₂²×D₄	C₂⁴	1	2	yes	—
962	C₂²×D₄	C₂⁴	1	2	yes	—
963	C₂²×D₄	C₂⁴	1	2	yes	—
964	C₂²×D₄	C₂⁴	1	2	yes	—
965	C₂²×D₄	C₂⁴	1	2	yes	—
966	C₂²×D₄	C₂⁴	1	2	yes	—
967	C₂²×D₄	C₂⁴	1	2	yes	—
968	C₂³×C₄	—	2	8	no	—
969	C₂³×C₄	—	2	4	no	—
970	C₂³×C₄	—	2	8	no	—
971	C₂³×C₄	—	2	4	no	—
972	C₂³×C₄	—	4	4	no	—
973	C₂³×C₄	—	4	4	no	—
974	C₂³×C₄	—	4	4	no	—
975	C₂³×C₄	—	4	8	no	—
976	C₂³×C₄	—	8	4	no	—
977	C₂³×C₄	C₂×D₄	1	8	yes	complemented
978	C₂³×C₄	C₂⁴	1	1	yes	characteristic
979	C₂³×C₄	C₂⁴	1	1	yes	characteristic
980	C₂³×C₄	C₂⁴	1	1	yes	characteristic
981	C₂³×C₄	C₂⁴	1	2	yes	—
982	C₂³×C₄	C₂⁴	1	2	yes	—
983	C₂³×C₄	C₂⁴	1	4	yes	—
984	C₂³×C₄	C₂⁴	1	4	yes	—
985	C₂³×C₄	C₂⁴	1	1	yes	characteristic
986	C₂³×C₄	C₂⁴	1	1	yes	characteristic
987	C₂³×C₄	C₂⁴	1	1	yes	characteristic
988	C₂³×C₄	C₂⁴	1	1	yes	characteristic
989	C₂³×C₄	C₂⁴	1	1	yes	characteristic
990	C₂³×C₄	C₂⁴	1	2	yes	—
991	C₂³×C₄	C₂⁴	1	2	yes	—
992	C₂³×C₄	C₂⁴	1	2	yes	—
993	C₂³×C₄	C₂⁴	1	4	yes	—
994	C₂³×C₄	C₂⁴	1	4	yes	—
995	C₂³×C₄	C₂⁴	1	4	yes	—
996	C₂³×C₄	C₂⁴	1	1	yes	characteristic
997	C₂³×C₄	C₂⁴	1	1	yes	characteristic
998	C₂³×C₄	C₂⁴	1	1	yes	characteristic
999	C₂³×C₄	C₂⁴	1	2	yes	—
1000	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1001	C₂³×C₄	C₂⁴	1	2	yes	—
1002	C₂³×C₄	C₂⁴	1	2	yes	—
1003	C₂³×C₄	C₂⁴	1	2	yes	—
1004	C₂³×C₄	C₂⁴	1	2	yes	—
1005	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1006	C₂³×C₄	C₂⁴	1	4	yes	—
1007	C₂³×C₄	C₂⁴	1	2	yes	—
1008	C₂³×C₄	C₂⁴	1	2	yes	—
1009	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1010	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1011	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1012	C₄⋊Q₈	—	2	4	no	—
1013	C₄⋊Q₈	—	4	4	no	—
1014	#127	—	2	4	no	—
1015	#127	—	2	8	no	—
1016	#127	—	2	8	no	—
1017	#126	—	2	8	no	—
1018	#126	—	2	8	no	—
1019	#126	—	2	8	no	—
1020	#125	—	2	4	no	—
1021	#125	—	2	8	no	—
1022	#124	—	2	8	no	—
1023	#124	—	2	8	no	—
1024	#124	—	2	16	no	—
1025	#124	—	2	4	no	—
1026	#124	—	2	8	no	—
1027	#124	—	2	8	no	—
1028	#124	—	2	8	no	—
1029	#124	—	2	8	no	—
1030	#124	—	4	4	no	—
1031	#123	—	2	8	no	—
1032	#123	—	2	8	no	—
1033	#123	—	2	8	no	—
1034	#123	—	2	4	no	—
1035	#123	—	2	8	no	—
1036	#123	—	2	8	no	—
1037	#123	—	2	16	no	—
1038	#123	—	2	16	no	—
1039	#123	—	2	16	no	—
1040	#123	—	2	16	no	—
1041	#123	—	2	8	no	—
1042	#123	—	2	8	no	—
1043	#123	—	2	4	no	—
1044	#123	—	2	8	no	—
1045	#123	—	4	8	no	—
1046	#123	—	4	8	no	—
1047	#123	—	4	4	no	—
1048	C₂²⋊Q₈	—	2	4	no	—
1049	C₂²⋊Q₈	—	2	8	no	—
1050	C₂²⋊Q₈	—	2	4	no	—
1051	C₂²⋊Q₈	—	2	8	no	—
1052	C₂²⋊Q₈	—	2	8	no	—
1053	C₂²⋊Q₈	—	2	16	no	—
1054	C₂²⋊Q₈	—	2	4	no	—
1055	C₂²⋊Q₈	—	2	8	no	—
1056	C₂²⋊Q₈	—	4	4	no	—
1057	C₂²⋊Q₈	—	4	4	no	—
1058	C₂²⋊Q₈	—	4	4	no	—
1059	C₂²⋊Q₈	—	8	4	no	—
1060	#121	—	2	16	no	—
1061	#121	—	2	16	no	—
1062	#121	—	2	16	no	—
1063	#121	—	2	16	no	—
1064	#121	—	2	4	no	—
1065	#121	—	2	8	no	—
1066	#121	—	2	4	no	—
1067	#121	—	2	8	no	—
1068	#121	—	2	8	no	—
1069	#121	—	2	8	no	—
1070	#121	—	2	8	no	—
1071	#121	—	2	8	no	—
1072	#121	—	2	8	no	—
1073	#121	—	2	8	no	—
1074	#121	—	2	8	no	—
1075	#121	—	2	8	no	—
1076	#121	—	2	8	no	—
1077	#121	—	2	4	no	—
1078	#121	—	2	4	no	—
1079	#121	—	2	8	no	—
1080	#121	—	2	4	no	—
1081	#121	—	2	8	no	—
1082	#121	—	2	8	no	—
1083	#121	—	2	8	no	—
1084	#121	—	4	8	no	—
1085	#121	—	4	8	no	—
1086	#121	—	4	8	no	—
1087	#121	—	4	8	no	—
1088	#121	—	4	4	no	—
1089	#121	—	8	4	no	—
1090	#121	C₂×D₄	1	8	yes	—
1091	#121	C₂×D₄	1	8	yes	—
1092	#121	C₂×D₄	1	8	yes	complemented
1093	#121	C₂×D₄	1	16	yes	complemented
1094	#121	C₂×D₄	1	16	yes	complemented
1095	#121	C₂×D₄	1	8	yes	complemented
1096	#120	—	2	8	no	—
1097	#120	—	2	8	no	—
1098	#120	—	2	8	no	—
1099	#120	—	2	8	no	—
1100	#120	—	2	4	no	—
1101	#120	—	2	16	no	—
1102	#120	—	2	16	no	—
1103	#120	—	2	16	no	—
1104	#120	—	2	16	no	—
1105	#120	—	2	8	no	—
1106	#120	—	2	8	no	—
1107	#120	—	2	8	no	—
1108	#120	—	2	8	no	—
1109	#120	—	2	16	no	—
1110	#120	—	2	8	no	—
1111	#120	—	2	8	no	—
1112	#120	—	2	16	no	—
1113	#120	—	4	4	no	—
1114	#120	—	4	4	no	—
1115	#120	—	4	8	no	—
1116	#120	—	4	8	no	—
1117	#120	—	4	8	no	—
1118	#120	—	4	8	no	—
1119	#120	—	8	4	no	—
1120	#120	—	8	4	no	—
1121	#120	#41	1	8	yes	complemented
1122	C₄×Q₈	—	2	4	no	—
1123	C₄×D₄	—	2	4	no	—
1124	C₄×D₄	—	2	4	no	—
1125	C₄×D₄	—	2	8	no	—
1126	C₄×D₄	—	2	8	no	—
1127	C₄×D₄	—	2	4	no	—
1128	C₄×D₄	—	2	4	no	—
1129	C₄×D₄	—	2	4	no	—
1130	C₄×D₄	—	2	8	no	—
1131	C₄×D₄	—	2	8	no	—
1132	C₄×D₄	—	2	8	no	—
1133	C₄×D₄	—	2	8	no	—
1134	C₄×D₄	—	2	4	no	—
1135	C₄×D₄	—	2	4	no	—
1136	C₄×D₄	—	2	4	no	—
1137	C₄×D₄	—	2	4	no	—
1138	C₄×D₄	—	2	4	no	—
1139	C₄×D₄	—	2	8	no	—
1140	C₄×D₄	—	2	8	no	—
1141	C₄×D₄	—	2	8	no	—
1142	C₄×D₄	—	2	8	no	—
1143	C₄×D₄	—	2	8	no	—
1144	C₄×D₄	—	2	8	no	—
1145	C₄×D₄	—	2	16	no	—
1146	C₄×D₄	—	2	4	no	—
1147	C₄×D₄	—	2	8	no	—
1148	C₄×D₄	—	2	8	no	—
1149	C₄×D₄	—	2	8	no	—
1150	C₄×D₄	—	2	8	no	—
1151	C₄×D₄	—	4	4	no	—
1152	C₄×D₄	—	4	4	no	—
1153	C₄×D₄	—	4	4	no	—
1154	C₄×D₄	—	4	4	no	—
1155	C₄×D₄	—	4	8	no	—
1156	C₄×D₄	—	4	8	no	—
1157	C₄×D₄	—	4	8	no	—
1158	C₄×D₄	—	4	8	no	—
1159	C₄×D₄	—	8	4	no	—
1160	C₄×D₄	—	8	4	no	—
1161	C₄×D₄	—	8	4	no	—
1162	C₄×D₄	—	8	4	no	—
1163	#117	—	2	4	no	—
1164	#117	—	2	4	no	—
1165	#117	—	2	8	no	—
1166	#117	—	2	8	no	—
1167	#117	—	4	4	no	—
1168	C₂×C₄⋊C₄	—	2	4	no	—
1169	C₂×C₄⋊C₄	—	2	8	no	—
1170	C₂×C₄⋊C₄	—	2	4	no	—
1171	C₂×C₄⋊C₄	—	2	4	no	—
1172	C₂×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
1173	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1174	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1175	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1176	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1177	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1178	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1179	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1180	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1181	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1182	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1183	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1184	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1185	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1186	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1187	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1188	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1189	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1190	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1191	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1192	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1193	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1194	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1195	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1196	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1197	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1198	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1199	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1200	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1201	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1202	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1203	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1204	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1205	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1206	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1207	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1208	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1209	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1210	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1211	C₂×C₂²⋊C₄	—	2	8	no	—
1212	C₂×C₂²⋊C₄	—	2	4	no	—
1213	C₂×C₂²⋊C₄	—	2	4	no	—
1214	C₂×C₂²⋊C₄	—	2	8	no	—
1215	C₂×C₂²⋊C₄	—	2	8	no	—
1216	C₂×C₂²⋊C₄	—	2	4	no	—
1217	C₂×C₂²⋊C₄	—	2	8	no	—
1218	C₂×C₂²⋊C₄	—	2	8	no	—
1219	C₂×C₂²⋊C₄	—	2	4	no	—
1220	C₂×C₂²⋊C₄	—	2	16	no	—
1221	C₂×C₂²⋊C₄	—	2	16	no	—
1222	C₂×C₂²⋊C₄	—	2	16	no	—
1223	C₂×C₂²⋊C₄	—	2	16	no	—
1224	C₂×C₂²⋊C₄	—	2	8	no	—
1225	C₂×C₂²⋊C₄	—	2	8	no	—
1226	C₂×C₂²⋊C₄	—	2	8	no	—
1227	C₂×C₂²⋊C₄	—	2	4	no	—
1228	C₂×C₂²⋊C₄	—	2	16	no	—
1229	C₂×C₂²⋊C₄	—	4	2	no	—
1230	C₂×C₂²⋊C₄	—	4	4	no	—
1231	C₂×C₂²⋊C₄	—	4	8	no	—
1232	C₂×C₂²⋊C₄	—	8	4	no	—
1233	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
1234	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1235	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1236	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1237	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1238	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1239	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1240	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1241	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1242	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1243	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1244	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1246	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1247	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1248	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1249	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1250	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1251	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1253	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1254	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1255	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1256	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1257	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1258	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1259	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1260	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1261	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1262	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1263	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1264	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1265	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1266	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1267	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1268	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1269	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1270	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1271	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1272	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1273	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1274	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1275	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1276	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1277	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1278	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1279	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1280	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1281	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1282	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1283	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1284	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1285	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1286	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1287	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1288	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1289	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1290	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1291	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1292	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1293	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1294	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1295	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1296	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1297	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1298	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1299	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1300	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1301	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1302	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1303	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1304	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1305	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1306	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1307	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1308	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1309	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1310	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1311	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1312	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1313	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1314	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1315	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1316	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1317	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1318	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1319	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1320	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1321	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1322	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1323	C₂×C₄²	—	2	4	no	—
1324	C₂×C₄²	—	2	4	no	—
1325	C₂×C₄²	—	4	4	no	—
1326	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1327	C₂×C₄²	C₂⁴	1	2	yes	—
1328	C₂×C₄²	C₂⁴	1	2	yes	—
1329	C₂×C₄²	C₂⁴	1	2	yes	—
1330	C₂×C₄²	C₂⁴	1	2	yes	—
1331	C₂×C₄²	C₂⁴	1	2	yes	—
1332	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1333	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1334	C₂×C₄²	C₂⁴	1	2	yes	—
1335	C₂×C₄²	C₂⁴	1	2	yes	—
1336	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1337	C₂×C₄²	C₂⁴	1	4	yes	—
1338	C₂×C₄²	C₂⁴	1	2	yes	—
1339	C₂×C₄²	C₂⁴	1	4	yes	—
1340	C₂×C₄²	C₂⁴	1	4	yes	—
1341	C₂×C₄²	C₂⁴	1	2	yes	—
1342	#95	C₂⁴	1	2	yes	—
1343	#95	C₂⁴	1	2	yes	—
1344	#95	C₂⁴	1	2	yes	—
1345	#95	C₂⁴	1	2	yes	—
1346	#95	C₂⁴	1	4	yes	—
1347	#95	C₂⁴	1	4	yes	—
1348	#95	C₂⁴	1	4	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	2	yes	—
1357	#95	C₂⁴	1	2	yes	—
1358	#95	C₂⁴	1	2	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	2	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	2	yes	—
1373	#95	C₂⁴	1	2	yes	—
1374	#95	C₂⁴	1	2	yes	—
1375	#95	C₂⁴	1	4	yes	—
1376	#95	C₂⁴	1	4	yes	—
1377	#95	C₂⁴	1	4	yes	—
1378	#95	C₂⁴	1	4	yes	—
1379	C₂⁴	—	2	2	no	—
1380	C₂⁴	—	2	4	no	—
1381	C₂⁴	—	2	8	no	—
1382	C₂⁴	—	2	2	no	—
1383	C₂⁴	—	2	2	no	—
1384	C₂⁴	—	2	4	no	—
1385	C₂⁴	—	2	2	no	—
1386	C₂⁴	—	2	4	no	—
1387	C₂⁴	—	2	4	no	—
1388	C₂⁴	—	2	4	no	—
1389	C₂⁴	—	2	8	no	—
1390	C₂⁴	—	2	8	no	—
1391	C₂⁴	—	2	2	no	—
1392	C₂⁴	—	2	8	no	—
1393	C₂⁴	—	2	8	no	—
1394	C₂⁴	—	2	8	no	—
1395	C₂⁴	—	2	8	no	—
1396	C₂⁴	—	2	4	no	—
1397	C₂⁴	—	2	2	no	—
1398	C₂⁴	—	2	4	no	—
1399	C₂⁴	—	4	2	no	—
1400	C₂⁴	—	4	4	no	—
1401	C₂⁴	—	4	2	no	—
1402	C₂⁴	—	4	4	no	—
1403	C₂⁴	—	4	2	no	—
1404	C₂⁴	—	4	4	no	—
1405	C₂⁴	—	4	4	no	—
1406	C₂⁴	—	4	4	no	—
1407	C₂⁴	—	4	1	no	—
1408	C₂⁴	—	4	2	no	—
1409	C₂⁴	—	4	2	no	—
1410	C₂⁴	—	4	4	no	—
1411	C₂⁴	—	4	4	no	—
1412	C₂⁴	—	4	4	no	—
1413	C₂⁴	—	4	4	no	—
1414	C₂⁴	—	4	2	no	—
1415	C₂⁴	—	4	2	no	—
1416	C₂⁴	—	4	4	no	—
1417	C₂⁴	—	4	4	no	—
1418	C₂⁴	—	4	4	no	—
1419	C₂⁴	—	4	4	no	—
1420	C₂⁴	—	4	32	no	—
1421	C₂⁴	—	4	32	no	—
1422	C₂⁴	—	8	32	no	—
1423	C₂⁴	—	8	16	no	—
1424	C₂⁴	—	8	32	no	—
1425	C₂⁴	C₂²×D₄	1	8	yes	—
1426	C₂⁴	C₂²×D₄	1	4	yes	—
1427	C₂⁴	C₂×#41	1	4	yes	—
1428	C₂⁴	C₂⁵	1	1	yes	characteristic
1429	C₂⁴	C₂⁵	1	2	yes	—
1430	C₂⁴	C₂⁵	1	2	yes	—
1431	C₂⁴	C₂⁵	1	2	yes	—
1432	C₂⁴	C₂⁵	1	1	yes	characteristic
1433	C₂⁴	C₂⁵	1	1	yes	characteristic
1434	C₂⁴	C₂⁵	1	2	yes	—
1435	C₂⁴	C₂⁵	1	1	yes	characteristic
1436	C₂⁴	C₂⁵	1	4	yes	—
1437	C₂⁴	C₂⁵	1	1	yes	characteristic
1438	#41	—	4	32	no	—
1439	#41	—	4	32	no	—
1440	#41	—	4	32	no	—
1441	#41	—	4	32	no	—
1442	#41	—	8	8	no	—
1443	#41	—	8	8	no	—
1444	#41	—	8	16	no	—
1445	C₂×Q₈	—	2	2	no	—
1446	C₂×Q₈	—	2	4	no	—
1447	C₂×Q₈	—	2	4	no	—
1448	C₂×Q₈	—	2	4	no	—
1449	C₂×Q₈	—	2	4	no	—
1450	C₂×Q₈	—	2	4	no	—
1451	C₂×Q₈	—	2	4	no	—
1452	C₂×Q₈	—	4	4	no	—
1453	C₂×Q₈	—	4	4	no	—
1454	C₂×Q₈	—	4	16	no	—
1455	C₂×D₄	—	2	32	no	—
1456	C₂×D₄	—	2	2	no	—
1457	C₂×D₄	—	2	8	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	2	no	—
1463	C₂×D₄	—	2	2	no	—
1464	C₂×D₄	—	2	4	no	—
1465	C₂×D₄	—	2	4	no	—
1466	C₂×D₄	—	2	2	no	—
1467	C₂×D₄	—	2	4	no	—
1468	C₂×D₄	—	2	8	no	—
1469	C₂×D₄	—	2	8	no	—
1470	C₂×D₄	—	2	8	no	—
1471	C₂×D₄	—	2	8	no	—
1472	C₂×D₄	—	2	4	no	—
1473	C₂×D₄	—	2	8	no	—
1474	C₂×D₄	—	2	4	no	—
1475	C₂×D₄	—	2	4	no	—
1476	C₂×D₄	—	2	2	no	—
1477	C₂×D₄	—	2	4	no	—
1478	C₂×D₄	—	2	2	no	—
1479	C₂×D₄	—	2	8	no	—
1480	C₂×D₄	—	2	8	no	—
1481	C₂×D₄	—	2	8	no	—
1482	C₂×D₄	—	2	8	no	—
1483	C₂×D₄	—	2	8	no	—
1484	C₂×D₄	—	2	8	no	—
1485	C₂×D₄	—	2	2	no	—
1486	C₂×D₄	—	2	4	no	—
1487	C₂×D₄	—	2	4	no	—
1488	C₂×D₄	—	2	4	no	—
1489	C₂×D₄	—	2	4	no	—
1490	C₂×D₄	—	2	4	no	—
1491	C₂×D₄	—	2	4	no	—
1492	C₂×D₄	—	2	4	no	—
1493	C₂×D₄	—	2	8	no	—
1494	C₂×D₄	—	2	8	no	—
1495	C₂×D₄	—	2	8	no	—
1496	C₂×D₄	—	2	4	no	—
1497	C₂×D₄	—	2	4	no	—
1498	C₂×D₄	—	2	2	no	—
1499	C₂×D₄	—	2	4	no	—
1500	C₂×D₄	—	2	8	no	—
1501	C₂×D₄	—	2	4	no	—
1502	C₂×D₄	—	2	2	no	—
1503	C₂×D₄	—	2	4	no	—
1504	C₂×D₄	—	2	4	no	—
1505	C₂×D₄	—	2	4	no	—
1506	C₂×D₄	—	2	4	no	—
1507	C₂×D₄	—	4	16	no	—
1508	C₂×D₄	—	4	2	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	1	no	—
1517	C₂×D₄	—	4	2	no	—
1518	C₂×D₄	—	4	1	no	—
1519	C₂×D₄	—	4	2	no	—
1520	C₂×D₄	—	4	2	no	—
1521	C₂×D₄	—	4	2	no	—
1522	C₂×D₄	—	4	4	no	—
1523	C₂×D₄	—	4	4	no	—
1524	C₂×D₄	—	4	2	no	—
1525	C₂×D₄	—	4	4	no	—
1526	C₂×D₄	—	4	4	no	—
1527	C₂×D₄	—	4	4	no	—
1528	C₂×D₄	—	4	2	no	—
1529	C₂×D₄	—	4	4	no	—
1530	C₂×D₄	—	4	4	no	—
1531	C₂×D₄	—	4	4	no	—
1532	C₂×D₄	—	4	4	no	—
1533	C₂×D₄	—	4	4	no	—
1534	C₂×D₄	—	4	2	no	—
1535	C₂×D₄	—	4	4	no	—
1536	C₂×D₄	—	4	4	no	—
1537	C₂×D₄	—	4	4	no	—
1538	C₂×D₄	—	4	4	no	—
1539	C₂×D₄	—	4	4	no	—
1540	C₂×D₄	—	4	4	no	—
1541	C₂×D₄	—	4	4	no	—
1542	C₂×D₄	—	4	32	no	—
1543	C₂×D₄	—	4	32	no	—
1544	C₂×D₄	—	4	16	no	—
1545	C₂×D₄	—	4	32	no	—
1546	C₂×D₄	—	4	64	no	—
1547	C₂×D₄	—	4	16	no	—
1548	C₂×D₄	—	4	32	no	—
1549	C₂×D₄	—	4	32	no	—
1550	C₂×D₄	—	8	8	no	—
1551	C₂×D₄	—	8	16	no	—
1552	C₂×D₄	—	8	32	no	—
1553	C₂×D₄	—	8	16	no	—
1554	C₂×D₄	C₂²×D₄	1	4	yes	—
1555	C₂×D₄	C₂²×D₄	1	4	yes	—
1556	C₂×D₄	C₂²×D₄	1	8	yes	—
1557	C₂×D₄	C₂²×D₄	1	8	yes	—
1558	C₂×D₄	C₂²×D₄	1	8	yes	—
1559	C₂×D₄	C₂²×D₄	1	8	yes	—
1560	C₂×D₄	C₂²×D₄	1	8	yes	—
1561	C₂×D₄	C₂×#41	1	4	yes	—
1562	C₂×D₄	C₂×#41	1	8	yes	complemented
1563	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1564	C₂²×C₄	—	2	4	no	—
1565	C₂²×C₄	—	2	4	no	—
1566	C₂²×C₄	—	2	4	no	—
1567	C₂²×C₄	—	2	2	no	—
1568	C₂²×C₄	—	2	2	no	—
1569	C₂²×C₄	—	2	2	no	—
1570	C₂²×C₄	—	2	2	no	—
1571	C₂²×C₄	—	2	4	no	—
1572	C₂²×C₄	—	2	2	no	—
1573	C₂²×C₄	—	2	4	no	—
1574	C₂²×C₄	—	2	2	no	—
1575	C₂²×C₄	—	2	8	no	—
1576	C₂²×C₄	—	2	8	no	—
1577	C₂²×C₄	—	2	2	no	—
1578	C₂²×C₄	—	2	2	no	—
1579	C₂²×C₄	—	2	4	no	—
1580	C₂²×C₄	—	2	4	no	—
1581	C₂²×C₄	—	2	8	no	—
1582	C₂²×C₄	—	2	8	no	—
1583	C₂²×C₄	—	2	2	no	—
1584	C₂²×C₄	—	2	2	no	—
1585	C₂²×C₄	—	2	4	no	—
1586	C₂²×C₄	—	2	4	no	—
1587	C₂²×C₄	—	2	4	no	—
1588	C₂²×C₄	—	2	2	no	—
1589	C₂²×C₄	—	2	4	no	—
1590	C₂²×C₄	—	2	4	no	—
1591	C₂²×C₄	—	2	4	no	—
1592	C₂²×C₄	—	2	4	no	—
1593	C₂²×C₄	—	2	2	no	—
1594	C₂²×C₄	—	2	8	no	—
1595	C₂²×C₄	—	2	8	no	—
1596	C₂²×C₄	—	2	4	no	—
1597	C₂²×C₄	—	2	4	no	—
1598	C₂²×C₄	—	2	4	no	—
1599	C₂²×C₄	—	2	2	no	—
1600	C₂²×C₄	—	2	8	no	—
1601	C₂²×C₄	—	2	4	no	—
1602	C₂²×C₄	—	4	16	no	—
1603	C₂²×C₄	—	4	2	no	—
1604	C₂²×C₄	—	4	2	no	—
1605	C₂²×C₄	—	4	2	no	—
1606	C₂²×C₄	—	4	2	no	—
1607	C₂²×C₄	—	4	4	no	—
1608	C₂²×C₄	—	4	2	no	—
1609	C₂²×C₄	—	4	2	no	—
1610	C₂²×C₄	—	4	4	no	—
1611	C₂²×C₄	—	4	4	no	—
1612	C₂²×C₄	—	4	2	no	—
1613	C₂²×C₄	—	4	4	no	—
1614	C₂²×C₄	—	4	1	no	—
1615	C₂²×C₄	—	4	2	no	—
1616	C₂²×C₄	—	4	2	no	—
1617	C₂²×C₄	—	4	2	no	—
1618	C₂²×C₄	—	4	2	no	—
1619	C₂²×C₄	—	4	4	no	—
1620	C₂²×C₄	—	4	2	no	—
1621	C₂²×C₄	—	4	4	no	—
1622	C₂²×C₄	—	4	2	no	—
1623	C₂²×C₄	—	4	2	no	—
1624	C₂²×C₄	—	4	4	no	—
1625	C₂²×C₄	—	4	4	no	—
1626	C₂²×C₄	—	4	2	no	—
1627	C₂²×C₄	—	4	2	no	—
1628	C₂²×C₄	—	4	4	no	—
1629	C₂²×C₄	—	4	4	no	—
1630	C₂²×C₄	—	4	4	no	—
1631	C₂²×C₄	—	4	4	no	—
1632	C₂²×C₄	—	4	4	no	—
1633	C₂²×C₄	—	4	4	no	—
1634	C₂²×C₄	—	4	4	no	—
1635	C₂²×C₄	—	4	2	no	—
1636	C₂²×C₄	—	4	4	no	—
1637	C₂²×C₄	—	4	4	no	—
1638	C₂²×C₄	—	4	4	no	—
1639	C₂²×C₄	—	4	16	no	—
1640	C₂²×C₄	—	4	32	no	—
1641	C₂²×C₄	—	8	8	no	—
1642	C₂²×C₄	—	8	16	no	—
1643	C₂²×C₄	C₂²×D₄	1	4	yes	—
1644	C₂²×C₄	C₂²×D₄	1	4	yes	—
1645	C₂²×C₄	C₂²×D₄	1	4	yes	—
1646	C₂²×C₄	C₂²×D₄	1	8	yes	—
1647	C₂²×C₄	C₂²×D₄	1	4	yes	—
1648	C₂²×C₄	C₂²×D₄	1	4	yes	—
1649	C₂²×C₄	C₂²×D₄	1	4	yes	—
1650	C₂²×C₄	C₂⁵	1	2	yes	—
1651	C₂²×C₄	C₂⁵	1	4	yes	—
1652	C₂²×C₄	C₂⁵	1	2	yes	—
1653	C₂²×C₄	C₂⁵	1	2	yes	—
1654	C₂²×C₄	C₂⁵	1	4	yes	—
1655	C₂²×C₄	C₂⁵	1	2	yes	—
1656	C₂²×C₄	C₂⁵	1	2	yes	—
1657	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1658	C₂²×C₄	C₂⁵	1	2	yes	—
1659	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1660	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1661	C₂²×C₄	C₂⁵	1	2	yes	—
1662	C₂²×C₄	C₂⁵	1	4	yes	—
1663	C₂²×C₄	C₂⁵	1	2	yes	—
1664	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1665	C₂²×C₄	C₂⁵	1	2	yes	—
1666	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1667	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1668	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1669	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1670	C₂²×C₄	C₂⁵	1	2	yes	—
1671	C₂²×C₄	C₂⁵	1	2	yes	—
1672	C₂²×C₄	C₂⁵	1	2	yes	—
1673	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1674	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1675	C₄⋊C₄	—	2	2	no	—
1676	C₄⋊C₄	—	2	2	no	—
1677	C₄⋊C₄	—	2	2	no	—
1678	C₄⋊C₄	—	2	4	no	—
1679	C₄⋊C₄	—	2	4	no	—
1680	C₄⋊C₄	—	2	2	no	—
1681	C₄⋊C₄	—	2	2	no	—
1682	C₄⋊C₄	—	2	8	no	—
1683	C₄⋊C₄	—	2	8	no	—
1684	C₄⋊C₄	—	2	4	no	—
1685	C₄⋊C₄	—	2	2	no	—
1686	C₄⋊C₄	—	2	4	no	—
1687	C₄⋊C₄	—	2	4	no	—
1688	C₄⋊C₄	—	2	4	no	—
1689	C₄⋊C₄	—	2	4	no	—
1690	C₄⋊C₄	—	2	4	no	—
1691	C₄⋊C₄	—	2	4	no	—
1692	C₄⋊C₄	—	2	4	no	—
1693	C₄⋊C₄	—	2	4	no	—
1694	C₄⋊C₄	—	2	4	no	—
1695	C₄⋊C₄	—	2	4	no	—
1696	C₄⋊C₄	—	2	4	no	—
1697	C₄⋊C₄	—	4	2	no	—
1698	C₄⋊C₄	—	4	4	no	—
1699	C₄⋊C₄	—	4	4	no	—
1700	C₄⋊C₄	—	4	4	no	—
1701	C₄⋊C₄	—	4	4	no	—
1702	C₄⋊C₄	—	4	2	no	—
1703	C₄⋊C₄	—	4	2	no	—
1704	C₄⋊C₄	—	4	4	no	—
1705	C₄⋊C₄	—	4	4	no	—
1706	C₄⋊C₄	—	4	4	no	—
1707	C₄⋊C₄	—	4	4	no	—
1708	C₄⋊C₄	—	4	2	no	—
1709	C₄⋊C₄	—	4	4	no	—
1710	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1711	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1712	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1713	C₂²⋊C₄	—	2	2	no	—
1714	C₂²⋊C₄	—	2	8	no	—
1715	C₂²⋊C₄	—	2	8	no	—
1716	C₂²⋊C₄	—	2	4	no	—
1717	C₂²⋊C₄	—	2	4	no	—
1718	C₂²⋊C₄	—	2	2	no	—
1719	C₂²⋊C₄	—	2	4	no	—
1720	C₂²⋊C₄	—	2	4	no	—
1721	C₂²⋊C₄	—	2	4	no	—
1722	C₂²⋊C₄	—	2	2	no	—
1723	C₂²⋊C₄	—	2	2	no	—
1724	C₂²⋊C₄	—	2	8	no	—
1725	C₂²⋊C₄	—	2	8	no	—
1726	C₂²⋊C₄	—	2	4	no	—
1727	C₂²⋊C₄	—	2	4	no	—
1728	C₂²⋊C₄	—	2	4	no	—
1729	C₂²⋊C₄	—	2	4	no	—
1730	C₂²⋊C₄	—	2	4	no	—
1731	C₂²⋊C₄	—	2	4	no	—
1732	C₂²⋊C₄	—	2	8	no	—
1733	C₂²⋊C₄	—	2	4	no	—
1734	C₂²⋊C₄	—	2	2	no	—
1735	C₂²⋊C₄	—	2	4	no	—
1736	C₂²⋊C₄	—	2	4	no	—
1737	C₂²⋊C₄	—	2	8	no	—
1738	C₂²⋊C₄	—	2	8	no	—
1739	C₂²⋊C₄	—	2	8	no	—
1740	C₂²⋊C₄	—	2	8	no	—
1741	C₂²⋊C₄	—	2	2	no	—
1742	C₂²⋊C₄	—	2	2	no	—
1743	C₂²⋊C₄	—	2	4	no	—
1744	C₂²⋊C₄	—	2	4	no	—
1745	C₂²⋊C₄	—	2	4	no	—
1746	C₂²⋊C₄	—	2	2	no	—
1747	C₂²⋊C₄	—	2	8	no	—
1748	C₂²⋊C₄	—	2	8	no	—
1749	C₂²⋊C₄	—	2	2	no	—
1750	C₂²⋊C₄	—	2	4	no	—
1751	C₂²⋊C₄	—	2	8	no	—
1752	C₂²⋊C₄	—	2	8	no	—
1753	C₂²⋊C₄	—	2	4	no	—
1754	C₂²⋊C₄	—	2	2	no	—
1755	C₂²⋊C₄	—	2	4	no	—
1756	C₂²⋊C₄	—	2	2	no	—
1757	C₂²⋊C₄	—	2	4	no	—
1758	C₂²⋊C₄	—	2	4	no	—
1759	C₂²⋊C₄	—	2	4	no	—
1760	C₂²⋊C₄	—	2	8	no	—
1761	C₂²⋊C₄	—	2	8	no	—
1762	C₂²⋊C₄	—	2	8	no	—
1763	C₂²⋊C₄	—	2	4	no	—
1764	C₂²⋊C₄	—	2	4	no	—
1765	C₂²⋊C₄	—	4	2	no	—
1766	C₂²⋊C₄	—	4	4	no	—
1767	C₂²⋊C₄	—	4	2	no	—
1768	C₂²⋊C₄	—	4	4	no	—
1769	C₂²⋊C₄	—	4	2	no	—
1770	C₂²⋊C₄	—	4	4	no	—
1771	C₂²⋊C₄	—	4	4	no	—
1772	C₂²⋊C₄	—	4	4	no	—
1773	C₂²⋊C₄	—	4	4	no	—
1774	C₂²⋊C₄	—	4	4	no	—
1775	C₂²⋊C₄	—	4	2	no	—
1776	C₂²⋊C₄	—	4	2	no	—
1777	C₂²⋊C₄	—	4	4	no	—
1778	C₂²⋊C₄	—	4	4	no	—
1779	C₂²⋊C₄	—	4	4	no	—
1780	C₂²⋊C₄	—	4	2	no	—
1781	C₂²⋊C₄	—	4	4	no	—
1782	C₂²⋊C₄	—	4	4	no	—
1783	C₂²⋊C₄	—	4	2	no	—
1784	C₂²⋊C₄	—	4	4	no	—
1785	C₂²⋊C₄	—	4	4	no	—
1786	C₂²⋊C₄	—	4	4	no	—
1787	C₂²⋊C₄	—	4	4	no	—
1788	C₂²⋊C₄	—	4	4	no	—
1789	C₂²⋊C₄	—	4	4	no	—
1790	C₂²⋊C₄	—	4	4	no	—
1791	C₂²⋊C₄	—	4	2	no	—
1792	C₂²⋊C₄	—	4	4	no	—
1793	C₂²⋊C₄	—	4	4	no	—
1794	C₂²⋊C₄	—	4	2	no	—
1795	C₂²⋊C₄	—	4	4	no	—
1796	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1797	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1798	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1799	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1800	C₂²⋊C₄	C₂×#41	1	4	yes	—
1801	C₂²⋊C₄	C₂×#41	1	8	yes	complemented
1802	C₄²	—	2	2	no	—
1803	C₄²	—	2	4	no	—
1804	C₄²	—	2	4	no	—
1805	C₄²	—	2	2	no	—
1806	C₄²	—	2	2	no	—
1807	C₄²	—	2	2	no	—
1808	C₄²	—	2	4	no	—
1809	C₄²	—	2	4	no	—
1810	C₄²	—	2	4	no	—
1811	C₄²	—	2	4	no	—
1812	C₄²	—	2	4	no	—
1813	C₄²	—	4	2	no	—
1814	C₄²	—	4	2	no	—
1815	C₄²	—	4	4	no	—
1816	C₄²	—	4	4	no	—
1817	C₄²	—	4	4	no	—
1818	C₂³	—	2	2	no	—
1819	C₂³	—	2	2	no	—
1820	C₂³	—	2	16	no	—
1821	C₂³	—	2	2	no	—
1822	C₂³	—	2	1	no	—
1823	C₂³	—	2	4	no	—
1824	C₂³	—	2	1	no	—
1825	C₂³	—	2	4	no	—
1826	C₂³	—	2	2	no	—
1827	C₂³	—	2	2	no	—
1828	C₂³	—	2	1	no	—
1829	C₂³	—	2	2	no	—
1830	C₂³	—	2	2	no	—
1831	C₂³	—	2	2	no	—
1832	C₂³	—	2	2	no	—
1833	C₂³	—	2	4	no	—
1834	C₂³	—	2	4	no	—
1835	C₂³	—	2	2	no	—
1836	C₂³	—	2	4	no	—
1837	C₂³	—	2	1	no	—
1838	C₂³	—	2	2	no	—
1839	C₂³	—	2	4	no	—
1840	C₂³	—	2	1	no	—
1841	C₂³	—	2	2	no	—
1842	C₂³	—	2	1	no	—
1843	C₂³	—	2	2	no	—
1844	C₂³	—	2	2	no	—
1845	C₂³	—	2	2	no	—
1846	C₂³	—	2	4	no	—
1847	C₂³	—	2	4	no	—
1848	C₂³	—	2	2	no	—
1849	C₂³	—	2	4	no	—
1850	C₂³	—	2	4	no	—
1851	C₂³	—	2	2	no	—
1852	C₂³	—	2	2	no	—
1853	C₂³	—	2	8	no	—
1854	C₂³	—	2	8	no	—
1855	C₂³	—	2	16	no	—
1856	C₂³	—	2	1	no	—
1857	C₂³	—	2	2	no	—
1858	C₂³	—	2	1	no	—
1859	C₂³	—	2	2	no	—
1860	C₂³	—	2	2	no	—
1861	C₂³	—	2	4	no	—
1862	C₂³	—	2	2	no	—
1863	C₂³	—	2	1	no	—
1864	C₂³	—	2	4	no	—
1865	C₂³	—	2	2	no	—
1866	C₂³	—	4	8	no	—
1867	C₂³	—	4	4	no	—
1868	C₂³	—	4	8	no	—
1869	C₂³	—	4	4	no	—
1870	C₂³	—	4	8	no	—
1871	C₂³	—	4	16	no	—
1872	C₂³	—	4	16	no	—
1873	C₂³	—	4	16	no	—
1874	C₂³	—	4	16	no	—
1875	C₂³	—	4	4	no	—
1876	C₂³	—	4	16	no	—
1877	C₂³	—	4	16	no	—
1878	C₂³	—	4	16	no	—
1879	C₂³	—	4	16	no	—
1880	C₂³	—	4	8	no	—
1881	C₂³	—	4	4	no	—
1882	C₂³	—	4	8	no	—
1883	C₂³	—	4	4	no	—
1884	C₂³	—	4	8	no	—
1885	C₂³	—	4	4	no	—
1886	C₂³	—	4	8	no	—
1887	C₂³	—	8	2	no	—
1888	C₂³	—	8	4	no	—
1889	C₂³	—	8	4	no	—
1890	C₂³	—	8	4	no	—
1891	C₂³	—	8	8	no	—
1892	C₂³	—	8	8	no	—
1893	C₂³	—	8	8	no	—
1894	C₂³	—	8	8	no	—
1895	C₂³	—	8	8	no	—
1896	C₂³	—	8	8	no	—
1897	C₂³	—	8	8	no	—
1898	C₂³	—	8	8	no	—
1899	C₂³	—	8	8	no	—
1900	C₂³	—	8	4	no	—
1901	C₂³	—	8	4	no	—
1902	C₂³	—	8	4	no	—
1903	C₂³	—	8	8	no	—
1904	C₂³	—	8	8	no	—
1905	C₂³	—	8	128	no	—
1906	C₂³	—	16	4	no	—
1907	C₂³	C₂³×D₄	1	4	yes	—
1908	C₂³	C₂³×D₄	1	4	yes	—
1909	C₂³	C₂³×D₄	1	2	yes	—
1910	C₂³	C₂³×D₄	1	2	yes	—
1911	C₂³	C₂³×D₄	1	2	yes	—
1912	C₂³	C₂²×#41	1	4	yes	—
1913	C₂³	C₂²×#41	1	2	yes	—
1914	C₂³	C₂²×#41	1	2	yes	—
1915	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1916	C₂³	#585	1	2	yes	—
1917	C₂³	C₂⁶	1	1	yes	characteristic
1918	Q₈	—	4	8	no	—
1919	Q₈	—	4	8	no	—
1920	Q₈	—	4	4	no	—
1921	Q₈	—	8	4	no	—
1922	D₄	—	2	16	no	—
1923	D₄	—	2	8	no	—
1924	D₄	—	2	16	no	—
1925	D₄	—	2	8	no	—
1926	D₄	—	2	8	no	—
1927	D₄	—	4	8	no	—
1928	D₄	—	4	8	no	—
1929	D₄	—	4	8	no	—
1930	D₄	—	4	8	no	—
1931	D₄	—	4	8	no	—
1932	D₄	—	4	8	no	—
1933	D₄	—	4	4	no	—
1934	D₄	—	4	8	no	—
1935	D₄	—	4	16	no	—
1936	D₄	—	4	8	no	—
1937	D₄	—	4	4	no	—
1938	D₄	—	4	8	no	—
1939	D₄	—	4	8	no	—
1940	D₄	—	4	16	no	—
1941	D₄	—	4	16	no	—
1942	D₄	—	4	16	no	—
1943	D₄	—	4	16	no	—
1944	D₄	—	4	16	no	—
1945	D₄	—	4	8	no	—
1946	D₄	—	4	8	no	—
1947	D₄	—	4	4	no	—
1948	D₄	—	4	4	no	—
1949	D₄	—	8	4	no	—
1950	D₄	—	8	4	no	—
1951	D₄	—	8	8	no	—
1952	D₄	—	8	8	no	—
1953	D₄	—	8	8	no	—
1954	D₄	—	8	4	no	—
1955	D₄	—	8	4	no	—
1956	D₄	—	8	4	no	—
1957	D₄	—	8	4	no	—
1958	D₄	—	8	4	no	—
1959	C₂×C₄	—	2	1	no	—
1960	C₂×C₄	—	2	2	no	—
1961	C₂×C₄	—	2	2	no	—
1962	C₂×C₄	—	2	2	no	—
1963	C₂×C₄	—	2	2	no	—
1964	C₂×C₄	—	2	1	no	—
1965	C₂×C₄	—	2	2	no	—
1966	C₂×C₄	—	2	4	no	—
1967	C₂×C₄	—	2	4	no	—
1968	C₂×C₄	—	2	8	no	—
1969	C₂×C₄	—	2	8	no	—
1970	C₂×C₄	—	2	8	no	—
1971	C₂×C₄	—	2	2	no	—
1972	C₂×C₄	—	2	2	no	—
1973	C₂×C₄	—	2	1	no	—
1974	C₂×C₄	—	2	2	no	—
1975	C₂×C₄	—	2	1	no	—
1976	C₂×C₄	—	2	1	no	—
1977	C₂×C₄	—	2	1	no	—
1978	C₂×C₄	—	2	2	no	—
1979	C₂×C₄	—	2	2	no	—
1980	C₂×C₄	—	2	4	no	—
1981	C₂×C₄	—	2	1	no	—
1982	C₂×C₄	—	2	2	no	—
1983	C₂×C₄	—	2	2	no	—
1984	C₂×C₄	—	2	4	no	—
1985	C₂×C₄	—	2	2	no	—
1986	C₂×C₄	—	2	1	no	—
1987	C₂×C₄	—	2	2	no	—
1988	C₂×C₄	—	2	2	no	—
1989	C₂×C₄	—	2	2	no	—
1990	C₂×C₄	—	2	2	no	—
1991	C₂×C₄	—	2	4	no	—
1992	C₂×C₄	—	2	4	no	—
1993	C₂×C₄	—	2	2	no	—
1994	C₂×C₄	—	2	2	no	—
1995	C₂×C₄	—	2	4	no	—
1996	C₂×C₄	—	2	2	no	—
1997	C₂×C₄	—	2	4	no	—
1998	C₂×C₄	—	2	4	no	—
1999	C₂×C₄	—	2	2	no	—
2000	C₂×C₄	—	2	4	no	—
2001	C₂×C₄	—	2	2	no	—
2002	C₂×C₄	—	2	2	no	—
2003	C₂×C₄	—	2	1	no	—
2004	C₂×C₄	—	2	2	no	—
2005	C₂×C₄	—	2	2	no	—
2006	C₂×C₄	—	2	2	no	—
2007	C₂×C₄	—	2	4	no	—
2008	C₂×C₄	—	2	4	no	—
2009	C₂×C₄	—	2	2	no	—
2010	C₂×C₄	—	2	2	no	—
2011	C₂×C₄	—	2	2	no	—
2012	C₂×C₄	—	2	2	no	—
2013	C₂×C₄	—	2	4	no	—
2014	C₂×C₄	—	2	2	no	—
2015	C₂×C₄	—	2	2	no	—
2016	C₂×C₄	—	4	4	no	—
2017	C₂×C₄	—	4	4	no	—
2018	C₂×C₄	—	4	4	no	—
2019	C₂×C₄	—	4	8	no	—
2020	C₂×C₄	—	4	16	no	—
2021	C₂×C₄	—	4	16	no	—
2022	C₂×C₄	—	4	4	no	—
2023	C₂×C₄	—	4	8	no	—
2024	C₂×C₄	—	4	8	no	—
2025	C₂×C₄	—	4	4	no	—
2026	C₂×C₄	—	4	8	no	—
2027	C₂×C₄	—	4	4	no	—
2028	C₂×C₄	—	4	4	no	—
2029	C₂×C₄	—	4	4	no	—
2030	C₂×C₄	—	4	8	no	—
2031	C₂×C₄	—	4	4	no	—
2032	C₂×C₄	—	4	4	no	—
2033	C₂×C₄	—	8	4	no	—
2034	C₂×C₄	—	8	2	no	—
2035	C₂×C₄	—	8	2	no	—
2036	C₂×C₄	—	8	8	no	—
2037	C₂×C₄	—	8	8	no	—
2038	C₂×C₄	—	8	8	no	—
2039	C₂×C₄	—	8	4	no	—
2040	C₂×C₄	—	8	4	no	—
2041	C₂×C₄	—	8	4	no	—
2042	C₂×C₄	—	8	2	no	—
2043	C₂×C₄	—	8	4	no	—
2044	C₂×C₄	—	8	4	no	—
2045	C₂×C₄	—	8	4	no	—
2046	C₂×C₄	—	16	4	no	—
2047	C₂×C₄	C₂³×D₄	1	2	yes	—
2048	C₂×C₄	C₂³×D₄	1	2	yes	—
2049	C₂×C₄	C₂³×D₄	1	2	yes	—
2050	C₂×C₄	C₂³×D₄	1	4	yes	—
2051	C₂×C₄	C₂³×D₄	1	4	yes	—
2052	C₂×C₄	C₂³×D₄	1	2	yes	—
2053	C₂×C₄	C₂²×#41	1	4	yes	—
2054	C₂×C₄	C₂²×#41	1	2	yes	—
2055	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2056	C₂²	—	2	4	no	—
2057	C₂²	—	2	2	no	—
2058	C₂²	—	2	2	no	—
2059	C₂²	—	2	4	no	—
2060	C₂²	—	2	4	no	—
2061	C₂²	—	2	8	no	—
2062	C₂²	—	2	4	no	—
2063	C₂²	—	2	4	no	—
2064	C₂²	—	2	2	no	—
2065	C₂²	—	2	2	no	—
2066	C₂²	—	2	8	no	—
2067	C₂²	—	2	4	no	—
2068	C₂²	—	2	4	no	—
2069	C₂²	—	2	2	no	—
2070	C₂²	—	2	4	no	—
2071	C₂²	—	2	2	no	—
2072	C₂²	—	2	4	no	—
2073	C₂²	—	2	8	no	—
2074	C₂²	—	2	2	no	—
2075	C₂²	—	2	4	no	—
2076	C₂²	—	2	2	no	—
2077	C₂²	—	2	2	no	—
2078	C₂²	—	2	4	no	—
2079	C₂²	—	2	4	no	—
2080	C₂²	—	4	32	no	—
2081	C₂²	—	4	16	no	—
2082	C₂²	—	4	4	no	—
2083	C₂²	—	4	2	no	—
2084	C₂²	—	4	4	no	—
2085	C₂²	—	4	4	no	—
2086	C₂²	—	4	2	no	—
2087	C₂²	—	4	2	no	—
2088	C₂²	—	4	1	no	—
2089	C₂²	—	4	4	no	—
2090	C₂²	—	4	1	no	—
2091	C₂²	—	4	2	no	—
2092	C₂²	—	4	2	no	—
2093	C₂²	—	4	4	no	—
2094	C₂²	—	4	4	no	—
2095	C₂²	—	4	2	no	—
2096	C₂²	—	4	2	no	—
2097	C₂²	—	4	2	no	—
2098	C₂²	—	4	4	no	—
2099	C₂²	—	4	2	no	—
2100	C₂²	—	4	4	no	—
2101	C₂²	—	4	4	no	—
2102	C₂²	—	4	2	no	—
2103	C₂²	—	4	1	no	—
2104	C₂²	—	4	2	no	—
2105	C₂²	—	4	2	no	—
2106	C₂²	—	4	1	no	—
2107	C₂²	—	4	2	no	—
2108	C₂²	—	4	4	no	—
2109	C₂²	—	4	1	no	—
2110	C₂²	—	4	2	no	—
2111	C₂²	—	8	8	no	—
2112	C₂²	—	8	16	no	—
2113	C₂²	—	8	32	no	—
2114	C₂²	—	8	32	no	—
2115	C₂²	—	8	8	no	—
2116	C₂²	—	16	8	no	—
2117	C₂²	D₄×#41	1	4	yes	—
2118	C₂²	C₂⁴×D₄	1	1	yes	characteristic
2119	C₂²	C₂³×#41	1	1	yes	characteristic
2120	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
2121	C₂²	C₂×#585	1	1	yes	characteristic
2122	C₂²	H(7,𝔽₂)	1	2	yes	—
2123	C₄	—	2	4	no	—
2124	C₄	—	2	2	no	—
2125	C₄	—	2	2	no	—
2126	C₄	—	2	2	no	—
2127	C₄	—	2	4	no	—
2128	C₄	—	2	4	no	—
2129	C₄	—	2	2	no	—
2130	C₄	—	4	4	no	—
2131	C₄	—	4	2	no	—
2132	C₄	—	4	2	no	—
2133	C₄	—	4	4	no	—
2134	C₄	—	4	1	no	—
2135	C₄	—	4	1	no	—
2136	C₄	—	4	2	no	—
2137	C₄	—	4	2	no	—
2138	C₄	—	4	1	no	—
2139	C₄	—	4	1	no	—
2140	C₄	—	4	2	no	—
2141	C₄	—	4	2	no	—
2142	C₄	—	4	2	no	—
2143	C₄	—	4	4	no	—
2144	C₄	—	4	2	no	—
2145	C₄	—	4	2	no	—
2146	C₄	—	4	1	no	—
2147	C₄	#3484	1	4	yes	—
2148	C₂	—	2	4	no	—
2149	C₂	—	4	8	no	—
2150	C₂	—	4	4	no	—
2151	C₂	—	4	2	no	—
2152	C₂	—	4	2	no	—
2153	C₂	—	4	4	no	—
2154	C₂	—	4	4	no	—
2155	C₂	—	4	2	no	—
2156	C₂	—	8	1	no	—
2157	C₂	—	8	2	no	—
2158	C₂	C₂×D₄×#41	1	1	yes	characteristic
2159	C₂	C₂×#3484	1	1	yes	characteristic
2160	C₂	#62842	1	1	yes	characteristic
2161	C₂	#62896	1	2	yes	—
2162	C₂	#62983	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×#3519	C₂	semidirect
2. C₂²×#546	C₂	semidirect
3. #59812	C₂	semidirect
4. #59568	C₂	semidirect
5. #59129	C₂	semidirect
6. #59103	C₂	semidirect
7. #59099	C₂	semidirect
8. #59035	C₂	semidirect
9. #59004	C₂	semidirect
10. #59000	C₂	semidirect
11. #43901	C₂	semidirect
12. #43118	C₂	semidirect
13. #43114	C₂	semidirect
14. #43013	C₂	semidirect
15. #39722	C₂	semidirect
16. #39594	C₂	semidirect
17. #38918	C₂	semidirect
18. #38916	C₂	semidirect
19. #38906	C₂	semidirect
20. #38904	C₂	semidirect
21. #37832	C₂	semidirect
22. #37644	C₂	semidirect
23. #36529	C₂	semidirect
24. #36528	C₂	semidirect
25. #36152	C₂	semidirect
26. D₄×#120	C₂	semidirect
27. #35394	C₂	semidirect
28. #35354	C₂	semidirect
29. #35031	C₂	semidirect
30. #34988	C₂	semidirect
31. #34738	C₂	semidirect
32. #34736	C₂	semidirect
33. #34246	C₂	semidirect
34. #34198	C₂	semidirect
35. C₄×#534	C₂	semidirect
36. C₂³×#41	C₂²	semidirect
37. C₂⁴×D₄	C₂²	semidirect
39. C₂×#555	C₂²	semidirect
40. C₂×#554	C₂²	semidirect
41. C₂×#553	C₂²	semidirect
42. C₂×#553	C₂²	semidirect
43. C₂×#553	C₂²	semidirect
44. C₂×#550	C₂²	semidirect
48. C₂×#546	C₂²	semidirect
49. C₂×#546	C₂²	semidirect
50. C₂×#546	C₂²	semidirect
51. C₂×#546	C₂²	semidirect
52. C₂×#546	C₂²	semidirect
53. C₂×#546	C₂²	semidirect
54. C₂×#546	C₂²	semidirect
55. C₂×#546	C₂²	semidirect
56. C₂×#546	C₂²	semidirect
58. C₂×D₄²	C₂²	semidirect
59. C₂×D₄²	C₂²	semidirect
60. C₂×#540	C₂²	semidirect
61. C₂×#538	C₂²	semidirect
62. C₂×#538	C₂²	semidirect
64. C₂×#532	C₂²	semidirect
65. C₂×#532	C₂²	semidirect
66. C₂×#529	C₂²	semidirect
67. C₂²×#124	C₂²	semidirect
68. C₂×#525	C₂²	semidirect
69. C₂×#525	C₂²	semidirect
70. C₂×#525	C₂²	semidirect
71. C₂²×#123	C₂²	semidirect
72. C₂²×C₂²⋊Q₈	C₂²	semidirect
74. C₂²×#121	C₂²	semidirect
75. C₂²×#121	C₂²	semidirect
77. C₂²×#120	C₂²	semidirect
78. C₂×#518	C₂²	semidirect
79. C₂²×C₄×D₄	C₂²	semidirect
80. C₂²×C₄×D₄	C₂²	semidirect
81. C₂²×C₄×D₄	C₂²	semidirect
82. C₂³×C₂²⋊C₄	C₂²	semidirect
83. #2855	C₂²	semidirect
84. #2854	C₂²	semidirect
85. #2848	C₂²	semidirect
86. #2848	C₂²	semidirect
87. #2847	C₂²	semidirect
88. #2847	C₂²	semidirect
89. #2846	C₂²	semidirect
90. #2846	C₂²	semidirect
91. #2723	C₂²	semidirect
92. #2720	C₂²	semidirect
93. #2717	C₂²	semidirect
94. #2708	C₂²	semidirect
95. #2708	C₂²	semidirect
96. #2697	C₂²	semidirect
97. #2696	C₂²	semidirect
98. #2692	C₂²	semidirect
99. #2688	C₂²	semidirect
100. #2688	C₂²	semidirect
101. #2686	C₂²	semidirect
102. #2686	C₂²	semidirect
103. #2684	C₂²	semidirect
104. #2684	C₂²	semidirect
105. #2679	C₂²	semidirect
106. #2678	C₂²	semidirect
107. #2678	C₂²	semidirect
108. #2671	C₂²	semidirect
109. #2671	C₂²	semidirect
110. #2669	C₂²	semidirect
111. #2668	C₂²	semidirect
112. #2668	C₂²	semidirect
113. #2668	C₂²	semidirect
114. #2668	C₂²	semidirect
115. #2626	C₂²	semidirect
116. #2622	C₂²	semidirect
117. #2622	C₂²	semidirect
118. #2622	C₂²	semidirect
119. #2617	C₂²	semidirect
120. #2613	C₂²	semidirect
121. #2602	C₂²	semidirect
122. #2600	C₂²	semidirect
123. #2561	C₂²	semidirect
124. #2557	C₂²	semidirect
125. #2557	C₂²	semidirect
126. #2553	C₂²	semidirect
127. #2553	C₂²	semidirect
128. #2547	C₂²	semidirect
129. #2544	C₂²	semidirect
130. #2542	C₂²	semidirect
131. #2540	C₂²	semidirect
132. #2539	C₂²	semidirect
133. #2537	C₂²	semidirect
134. #2535	C₂²	semidirect
135. #2534	C₂²	semidirect
136. #2534	C₂²	semidirect
137. #2534	C₂²	semidirect
138. #2504	C₂²	semidirect
139. #2502	C₂²	semidirect
140. #2492	C₂²	semidirect
141. #2489	C₂²	semidirect
142. #2487	C₂²	semidirect
143. #2487	C₂²	semidirect
144. #2485	C₂²	semidirect
145. #2483	C₂²	semidirect
146. #2480	C₂²	semidirect
147. #2480	C₂²	semidirect
148. #2472	C₂²	semidirect
149. #2472	C₂²	semidirect
150. #2470	C₂²	semidirect
151. #2470	C₂²	semidirect
152. #2467	C₂²	semidirect
153. #2464	C₂²	semidirect
154. #2464	C₂²	semidirect
155. #2463	C₂²	semidirect
156. #2460	C₂²	semidirect
157. #2457	C₂²	semidirect
158. #2457	C₂²	semidirect
159. #2456	C₂²	semidirect
160. #2455	C₂²	semidirect
161. #2455	C₂²	semidirect
162. #2454	C₂²	semidirect
163. #2452	C₂²	semidirect
164. #2447	C₂²	semidirect
165. #2447	C₂²	semidirect
166. #2436	C₂²	semidirect
167. #2435	C₂²	semidirect
168. #2435	C₂²	semidirect
169. #2435	C₂²	semidirect
170. #2434	C₂²	semidirect
171. #2433	C₂²	semidirect
172. #2433	C₂²	semidirect
173. #2432	C₂²	semidirect
174. #2432	C₂²	semidirect
175. #2431	C₂²	semidirect
176. #2430	C₂²	semidirect
177. #2429	C₂²	semidirect
178. #2428	C₂²	semidirect
179. #2428	C₂²	semidirect
180. #2427	C₂²	semidirect
181. #2427	C₂²	semidirect
182. #2427	C₂²	semidirect
183. #2427	C₂²	semidirect
184. #2427	C₂²	semidirect
185. #2424	C₂²	semidirect
186. #2424	C₂²	semidirect
187. #2424	C₂²	semidirect
188. #2424	C₂²	semidirect
189. #2422	C₂²	semidirect
190. #2422	C₂²	semidirect
191. #2422	C₂²	semidirect
192. #2420	C₂²	semidirect
193. #2418	C₂²	semidirect
194. #2418	C₂²	semidirect
195. #2418	C₂²	semidirect
196. #2418	C₂²	semidirect
197. #2418	C₂²	semidirect
198. #2418	C₂²	semidirect
199. #2417	C₂²	semidirect
200. #2415	C₂²	semidirect
201. #2415	C₂²	semidirect
202. #2414	C₂²	semidirect
203. #2412	C₂²	semidirect
204. #2412	C₂²	semidirect
205. #2410	C₂²	semidirect
206. #2410	C₂²	semidirect
207. #2410	C₂²	semidirect
208. #2410	C₂²	semidirect
209. #2410	C₂²	semidirect
210. #2410	C₂²	semidirect
211. #2409	C₂²	semidirect
212. #2409	C₂²	semidirect
214. #2408	C₂²	semidirect
215. #2408	C₂²	semidirect
216. #2408	C₂²	semidirect
217. #2408	C₂²	semidirect
218. #2408	C₂²	semidirect
219. #2407	C₂²	semidirect
220. #2407	C₂²	semidirect
221. #2407	C₂²	semidirect
222. #2407	C₂²	semidirect
223. #2406	C₂²	semidirect
224. #2405	C₂²	semidirect
225. #2405	C₂²	semidirect
226. #2405	C₂²	semidirect
227. #2405	C₂²	semidirect
228. #2404	C₂²	semidirect
229. #2404	C₂²	semidirect
231. #2403	C₂²	semidirect
232. #2403	C₂²	semidirect
233. #2403	C₂²	semidirect
234. #2388	C₂²	semidirect
235. #2388	C₂²	semidirect
236. #2388	C₂²	semidirect
237. #2367	C₂²	semidirect
238. #2366	C₂²	semidirect
239. #2364	C₂²	semidirect
240. #2363	C₂²	semidirect
241. #2363	C₂²	semidirect
242. #2363	C₂²	semidirect
243. #2361	C₂²	semidirect
244. #2358	C₂²	semidirect
245. #2358	C₂²	semidirect
246. #2358	C₂²	semidirect
247. #2358	C₂²	semidirect
248. #2345	C₂²	semidirect
249. #2345	C₂²	semidirect
250. #2342	C₂²	semidirect
251. #2342	C₂²	semidirect
252. D₄×C₂²⋊C₄	C₂²	semidirect
253. D₄×C₂²⋊C₄	C₂²	semidirect
254. D₄×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. D₄×C₂²⋊C₄	C₂²	semidirect
260. #2333	C₂²	semidirect
261. #2325	C₂²	semidirect
262. #2325	C₂²	semidirect
263. #2322	C₂²	semidirect
264. #2322	C₂²	semidirect
265. #2322	C₂²	semidirect
266. #2322	C₂²	semidirect
269. #2321	C₂²	semidirect
270. #2321	C₂²	semidirect
271. #2321	C₂²	semidirect
272. #2321	C₂²	semidirect
273. #2315	C₂²	semidirect
274. #2315	C₂²	semidirect
275. #2312	C₂²	semidirect
276. #2308	C₂²	semidirect
277. #2308	C₂²	semidirect
278. #2308	C₂²	semidirect
279. C₄×#123	C₂²	semidirect
280. C₄×#123	C₂²	semidirect
281. C₄×#123	C₂²	semidirect
282. C₄×#121	C₂²	semidirect
283. C₄×#121	C₂²	semidirect
284. C₄×#121	C₂²	semidirect
285. C₄×#121	C₂²	semidirect
287. C₄×#120	C₂²	semidirect
288. C₄×#120	C₂²	semidirect
289. C₄×#120	C₂²	semidirect
290. C₄×#120	C₂²	semidirect
291. C₄×#120	C₂²	semidirect
292. C₄×#120	C₂²	semidirect
293. C₄×#120	C₂²	semidirect
294. C₄×#120	C₂²	semidirect
295. #2297	C₂²	semidirect
296. #2297	C₂²	semidirect
297. #2280	C₂²	semidirect
298. C₂×#379	C₂²	semidirect
299. #2273	C₂²	semidirect
300. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
309. C₂²×#41	C₂³	semidirect
310. C₂²×#41	C₂³	semidirect
327. C₂³×D₄	C₂³	semidirect
332. C₂⁴×C₄	C₂³	semidirect
359. C₂×C₄⋊Q₈	C₂³	semidirect
360. C₂×C₄⋊Q₈	C₂³	semidirect
363. C₂×#127	C₂³	semidirect
365. C₂×#126	C₂³	semidirect
366. C₂×#126	C₂³	semidirect
367. C₂×#126	C₂³	semidirect
368. C₂×#125	C₂³	semidirect
369. C₂×#125	C₂³	semidirect
376. C₂×#124	C₂³	semidirect
377. C₂×#124	C₂³	semidirect
378. C₂×#124	C₂³	semidirect
379. C₂×#124	C₂³	semidirect
394. C₂×#123	C₂³	semidirect
395. C₂×#123	C₂³	semidirect
396. C₂×#123	C₂³	semidirect
397. C₂×#123	C₂³	semidirect
398. C₂×#123	C₂³	semidirect
399. C₂×#123	C₂³	semidirect
400. C₂×#123	C₂³	semidirect
408. C₂×C₂²⋊Q₈	C₂³	semidirect
409. C₂×C₂²⋊Q₈	C₂³	semidirect
410. C₂×C₂²⋊Q₈	C₂³	semidirect
411. C₂×C₂²⋊Q₈	C₂³	semidirect
412. C₂×C₂²⋊Q₈	C₂³	semidirect
413. C₂×C₂²⋊Q₈	C₂³	semidirect
416. C₂×#121	D₄	semidirect
440. C₂×#121	C₂³	semidirect
441. C₂×#121	C₂³	semidirect
442. C₂×#121	C₂³	semidirect
443. C₂×#121	C₂³	semidirect
444. C₂×#121	C₂³	semidirect
445. C₂×#121	C₂³	semidirect
446. C₂×#121	C₂³	semidirect
447. C₂×#121	C₂³	semidirect
448. C₂×#121	C₂³	semidirect
449. C₂×#121	C₂³	semidirect
450. C₂×#121	C₂³	semidirect
451. C₂×#121	C₂³	semidirect
452. C₂×#121	C₂³	semidirect
478. C₂×#120	C₂³	semidirect
479. C₂×#120	C₂³	semidirect
480. C₂×#120	C₂³	semidirect
482. C₂×C₄×Q₈	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
513. C₂×C₄×D₄	C₂³	semidirect
514. C₂×C₄×D₄	C₂³	semidirect
515. C₂×C₄×D₄	C₂³	semidirect
516. C₂×C₄×D₄	C₂³	semidirect
517. C₂×C₄×D₄	C₂³	semidirect
518. C₂×C₄×D₄	C₂³	semidirect
519. C₂×C₄×D₄	C₂³	semidirect
520. C₂×C₄×D₄	C₂³	semidirect
521. C₂×C₄×D₄	C₂³	semidirect
522. C₂×C₄×D₄	C₂³	semidirect
523. C₂×C₄×D₄	C₂³	semidirect
524. C₂×C₄×D₄	C₂³	semidirect
525. C₂×C₄×D₄	C₂³	semidirect
526. C₂×#117	C₂³	semidirect
527. C₂×#117	C₂³	semidirect
528. C₂×#117	C₂³	semidirect
529. C₂×#117	C₂³	semidirect
530. C₂×#117	C₂³	semidirect
534. C₂²×C₄⋊C₄	C₂³	semidirect
535. C₂²×C₄⋊C₄	C₂³	semidirect
557. C₂²×C₂²⋊C₄	C₂³	semidirect
558. C₂²×C₂²⋊C₄	C₂³	semidirect
559. C₂²×C₂²⋊C₄	C₂³	semidirect
561. C₂²×C₄²	C₂³	semidirect
562. C₂²×C₄²	C₂³	semidirect
563. #400	C₂³	semidirect
564. #400	C₂³	semidirect
566. #399	C₂³	semidirect
567. #399	C₂³	semidirect
568. #399	C₂³	semidirect
569. #398	C₂³	semidirect
570. #398	C₂³	semidirect
572. #397	C₂³	semidirect
573. #397	C₂³	semidirect
574. #397	C₂³	semidirect
575. #397	C₂³	semidirect
576. #397	C₂³	semidirect
577. #397	C₂³	semidirect
578. #397	C₂³	semidirect
579. #397	C₂³	semidirect
580. #397	C₂³	semidirect
581. #397	C₂³	semidirect
582. #397	C₂³	semidirect
583. #397	C₂³	semidirect
584. #397	C₂³	semidirect
587. #396	C₂³	semidirect
588. #396	C₂³	semidirect
589. #395	C₂³	semidirect
590. #395	C₂³	semidirect
591. #395	C₂³	semidirect
603. #394	C₂³	semidirect
604. #394	C₂³	semidirect
605. #394	C₂³	semidirect
606. #394	C₂³	semidirect
607. #394	C₂³	semidirect
608. #394	C₂³	semidirect
609. #394	C₂³	semidirect
610. #394	C₂³	semidirect
611. #394	C₂³	semidirect
612. #394	C₂³	semidirect
613. #394	C₂³	semidirect
614. #394	C₂³	semidirect
615. #394	C₂³	semidirect
616. #394	C₂³	semidirect
617. #394	C₂³	semidirect
618. #394	C₂³	semidirect
620. #393	C₂³	semidirect
621. #393	C₂³	semidirect
622. #393	C₂³	semidirect
623. #393	C₂³	semidirect
634. #392	C₂³	semidirect
635. #392	C₂³	semidirect
636. #392	C₂³	semidirect
637. #392	C₂³	semidirect
638. #392	C₂³	semidirect
639. #391	C₂³	semidirect
640. #391	C₂³	semidirect
641. #391	C₂³	semidirect
642. #391	C₂³	semidirect
643. #391	C₂³	semidirect
644. #391	C₂³	semidirect
656. #390	C₂³	semidirect
657. #390	C₂³	semidirect
658. #390	C₂³	semidirect
659. #390	C₂³	semidirect
660. #390	C₂³	semidirect
661. #390	C₂³	semidirect
662. #389	C₂³	semidirect
663. #389	C₂³	semidirect
664. #389	C₂³	semidirect
665. #389	C₂³	semidirect
666. #389	C₂³	semidirect
667. #389	C₂³	semidirect
668. #389	C₂³	semidirect
669. #389	C₂³	semidirect
670. #389	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. #387	C₂³	semidirect
696. #387	C₂³	semidirect
697. #387	C₂³	semidirect
698. #387	C₂³	semidirect
699. #387	C₂³	semidirect
700. #387	C₂³	semidirect
701. #387	C₂³	semidirect
702. #387	C₂³	semidirect
731. #386	C₂³	semidirect
732. #386	C₂³	semidirect
733. #386	C₂³	semidirect
734. #386	C₂³	semidirect
735. #386	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
750. #386	C₂³	semidirect
751. #386	C₂³	semidirect
752. #386	C₂³	semidirect
753. #386	C₂³	semidirect
754. #386	C₂³	semidirect
768. #385	C₂³	semidirect
769. #385	C₂³	semidirect
770. #385	C₂³	semidirect
771. #385	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. #385	C₂³	semidirect
779. #385	C₂³	semidirect
780. #385	C₂³	semidirect
781. #385	C₂³	semidirect
782. #385	C₂³	semidirect
783. #385	C₂³	semidirect
784. #385	C₂³	semidirect
785. #384	C₂³	semidirect
786. #382	C₂³	semidirect
790. #381	C₂³	semidirect
791. #381	C₂³	semidirect
792. #381	C₂³	semidirect
793. #381	C₂³	semidirect
800. #380	C₂³	semidirect
801. #380	C₂³	semidirect
802. #380	C₂³	semidirect
803. #380	C₂³	semidirect
804. #380	C₂³	semidirect
805. #380	C₂³	semidirect
806. #380	C₂³	semidirect
807. #380	C₂³	semidirect
808. #380	C₂³	semidirect
809. #380	C₂³	semidirect
810. #380	C₂³	semidirect
827. #379	C₂³	semidirect
828. #379	C₂³	semidirect
829. #379	C₂³	semidirect
830. C₄×C₄⋊C₄	C₂³	semidirect
831. C₄×C₄⋊C₄	C₂³	semidirect
832. C₄×C₄⋊C₄	C₂³	semidirect
833. 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. C₄×C₂²⋊C₄	C₂³	semidirect
857. C₄×C₂²⋊C₄	C₂³	semidirect
858. C₂×#95	C₂³	semidirect
930. C₂²×D₄	C₂×D₄	semidirect
977. C₂³×C₄	C₂×D₄	semidirect
1092. #121	C₂×D₄	semidirect
1093. #121	C₂×D₄	semidirect
1094. #121	C₂×D₄	semidirect
1095. #121	C₂×D₄	semidirect
1121. #120	#41	semidirect
1172. C₂×C₄⋊C₄	C₂×D₄	semidirect
1233. C₂×C₂²⋊C₄	C₂×D₄	semidirect
1562. C₂×D₄	C₂×#41	semidirect
1801. C₂²⋊C₄	C₂×#41	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3519	2
C₂²×#546	2
#59812	2
#59568	2
#59129	2
#59103	2
#59099	2
#59035	2
#59004	2
#59000	2
#43901	2
#43118	2
#43114	2
#43013	2
#39722	2
#39594	2
#38918	2
#38916	2
#38906	2
#38904	2
#37832	2
#37644	2
#36529	2
#36528	2
#36152	2
D₄×#120	2
#35394	2
#35354	2
#35031	2
#34988	2
#34738	2
#34736	2
#34246	2
#34198	2
C₄×#534	2