Subgroups — #7713001

Order 512.

7154 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#543	C₂	1	1	yes	maximal, characteristic, complemented
3	#48779	C₂	1	2	yes	maximal, complemented
4	#48778	C₂	1	2	yes	maximal, complemented
5	#47856	C₂	1	4	yes	maximal, complemented
6	#47855	C₂	1	4	yes	maximal, complemented
7	#47833	C₂	1	2	yes	maximal, complemented
8	#47832	C₂	1	2	yes	maximal, complemented
9	#46831	C₂	1	4	yes	maximal, complemented
10	#46816	C₂	1	2	yes	maximal, complemented
11	#46815	C₂	1	2	yes	maximal, complemented
12	#46373	C₂	1	4	yes	maximal, complemented
13	#46357	C₂	1	2	yes	maximal, complemented
14	#46356	C₂	1	2	yes	maximal, complemented
15	#39723	C₂	1	2	yes	maximal, complemented
16	#39722	C₂	1	2	yes	maximal, complemented
17	#39716	C₂	1	2	yes	maximal, complemented
18	#39716	C₂	1	2	yes	maximal, complemented
19	#39595	C₂	1	2	yes	maximal, complemented
20	#39594	C₂	1	2	yes	maximal, complemented
21	#39588	C₂	1	2	yes	maximal, complemented
22	#39588	C₂	1	2	yes	maximal, complemented
23	#37449	C₂	1	1	yes	maximal, characteristic, complemented
24	#37438	C₂	1	1	yes	maximal, characteristic, complemented
25	#36716	C₂	1	2	yes	maximal, complemented
26	#36705	C₂	1	2	yes	maximal, complemented
27	#35050	C₂	1	1	yes	maximal, characteristic, complemented
28	#35050	C₂	1	1	yes	maximal, characteristic, complemented
29	#34988	C₂	1	2	yes	maximal, complemented
30	#34988	C₂	1	2	yes	maximal, complemented
31	#34370	C₂	1	1	yes	maximal, characteristic, complemented
32	#3541	—	2	16	no	—
33	C₂×#563	C₂²	1	2	yes	complemented
34	C₂×#562	C₂²	1	2	yes	complemented
35	C₂×#556	C₂²	1	1	yes	characteristic, complemented
36	C₂×#554	C₂²	1	1	yes	characteristic, complemented
37	C₂×#554	C₂²	1	2	yes	complemented
38	C₂×#553	C₂²	1	1	yes	characteristic, complemented
39	C₂×#553	C₂²	1	2	yes	complemented
40	C₂×#552	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×#548	C₂²	1	1	yes	characteristic, complemented
43	C₂×#548	C₂²	1	1	yes	characteristic, complemented
44	C₂×#547	C₂²	1	1	yes	characteristic, complemented
45	C₂×#543	—	2	16	no	—
46	C₂×#543	C₂²	1	2	yes	—
47	C₂×#543	C₂²	1	2	yes	—
48	C₂×#543	C₂²	1	4	yes	—
49	C₂×#543	C₂²	1	2	yes	—
50	C₂×#543	C₂²	1	2	yes	—
51	C₂×#543	C₂²	1	4	yes	—
52	C₂×#542	C₂²	1	1	yes	characteristic, complemented
53	C₂×#542	C₂²	1	2	yes	complemented
54	C₂×#541	C₂²	1	1	yes	characteristic, complemented
55	C₂×#539	C₂²	1	2	yes	complemented
56	C₂×#538	C₂²	1	2	yes	—
57	C₂×#538	C₂²	1	2	yes	—
58	C₂×#537	C₂²	1	1	yes	characteristic, complemented
59	C₂×#536	C₂²	1	1	yes	characteristic, complemented
60	C₂×#525	C₂²	1	1	yes	characteristic
61	C₂×#525	C₂²	1	1	yes	characteristic
62	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
63	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
64	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
65	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
66	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
68	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
69	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
70	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	#2849	C₂²	1	1	yes	characteristic
72	#2849	C₂²	1	2	yes	—
73	#2849	C₂²	1	1	yes	characteristic
74	#2848	C₂²	1	2	yes	—
75	#2848	C₂²	1	2	yes	—
76	#2847	C₂²	1	2	yes	—
77	#2847	C₂²	1	2	yes	—
78	#2846	C₂²	1	1	yes	characteristic
79	#2846	C₂²	1	2	yes	—
80	#2846	C₂²	1	1	yes	characteristic
81	#2817	C₂²	1	2	yes	complemented
82	#2816	C₂²	1	2	yes	complemented
83	#2814	C₂²	1	2	yes	complemented
84	#2814	C₂²	1	2	yes	complemented
85	#2732	C₂²	1	4	yes	complemented
86	#2732	C₂²	1	4	yes	complemented
87	#2730	C₂²	1	4	yes	complemented
88	#2730	C₂²	1	4	yes	complemented
89	#2729	C₂²	1	4	yes	complemented
90	#2729	C₂²	1	4	yes	complemented
91	#2728	C₂²	1	4	yes	complemented
92	#2728	C₂²	1	4	yes	complemented
93	#2723	C₂²	1	4	yes	complemented
94	#2723	C₂²	1	4	yes	complemented
95	#2720	C₂²	1	4	yes	complemented
96	#2720	C₂²	1	4	yes	complemented
97	#2704	C₂²	1	4	yes	complemented
98	#2704	C₂²	1	4	yes	complemented
99	#2702	C₂²	1	4	yes	complemented
100	#2702	C₂²	1	4	yes	complemented
101	#2700	C₂²	1	4	yes	complemented
102	#2700	C₂²	1	4	yes	complemented
103	#2698	C₂²	1	4	yes	complemented
104	#2698	C₂²	1	4	yes	complemented
105	#2696	C₂²	1	4	yes	complemented
106	#2696	C₂²	1	4	yes	complemented
107	#2692	C₂²	1	4	yes	complemented
108	#2692	C₂²	1	4	yes	complemented
109	#2692	C₂²	1	4	yes	complemented
110	#2692	C₂²	1	4	yes	complemented
111	#2690	C₂²	1	4	yes	complemented
112	#2690	C₂²	1	4	yes	complemented
113	#2689	C₂²	1	4	yes	complemented
114	#2689	C₂²	1	4	yes	complemented
115	#2687	C₂²	1	4	yes	complemented
116	#2687	C₂²	1	4	yes	complemented
117	#2683	C₂²	1	4	yes	complemented
118	#2683	C₂²	1	4	yes	complemented
119	#2681	C₂²	1	4	yes	complemented
120	#2681	C₂²	1	4	yes	complemented
121	#2681	C₂²	1	4	yes	complemented
122	#2681	C₂²	1	4	yes	complemented
123	#2680	C₂²	1	4	yes	complemented
124	#2680	C₂²	1	4	yes	complemented
125	#2677	C₂²	1	4	yes	complemented
126	#2677	C₂²	1	4	yes	complemented
127	#2676	C₂²	1	4	yes	complemented
128	#2676	C₂²	1	4	yes	complemented
129	#2674	C₂²	1	4	yes	complemented
130	#2674	C₂²	1	4	yes	complemented
131	#2672	C₂²	1	4	yes	complemented
132	#2672	C₂²	1	4	yes	complemented
133	#2663	C₂²	1	4	yes	complemented
134	#2638	C₂²	1	2	yes	complemented
135	#2638	C₂²	1	2	yes	complemented
136	#2626	C₂²	1	2	yes	—
137	#2626	C₂²	1	2	yes	—
138	#2626	C₂²	1	2	yes	—
139	#2626	C₂²	1	2	yes	—
140	#2625	C₂²	1	2	yes	complemented
141	#2622	C₂²	1	2	yes	—
142	#2622	C₂²	1	2	yes	—
143	#2622	C₂²	1	2	yes	—
144	#2622	C₂²	1	2	yes	—
145	#2621	C₂²	1	2	yes	complemented
146	#2620	C₂²	1	2	yes	complemented
147	#2617	C₂²	1	2	yes	—
148	#2617	C₂²	1	2	yes	—
149	#2617	C₂²	1	2	yes	—
150	#2617	C₂²	1	2	yes	—
151	#2616	C₂²	1	2	yes	complemented
152	#2591	C₂²	1	2	yes	complemented
153	#2591	C₂²	1	2	yes	complemented
154	#2591	C₂²	1	2	yes	complemented
155	#2583	C₂²	1	2	yes	complemented
156	#2583	C₂²	1	2	yes	complemented
157	#2583	C₂²	1	2	yes	complemented
158	#2579	C₂²	1	2	yes	complemented
159	#2579	C₂²	1	2	yes	complemented
160	#2579	C₂²	1	2	yes	complemented
161	#2579	C₂²	1	2	yes	complemented
162	#2579	C₂²	1	2	yes	complemented
163	#2579	C₂²	1	2	yes	complemented
164	#2561	C₂²	1	2	yes	—
165	#2561	C₂²	1	2	yes	—
166	#2560	C₂²	1	4	yes	complemented
167	#2560	C₂²	1	4	yes	complemented
168	#2556	C₂²	1	4	yes	complemented
169	#2556	C₂²	1	4	yes	complemented
170	#2542	C₂²	1	4	yes	complemented
171	#2540	C₂²	1	4	yes	complemented
172	#2539	C₂²	1	2	yes	—
173	#2539	C₂²	1	2	yes	—
174	#2538	C₂²	1	4	yes	complemented
175	#2536	C₂²	1	4	yes	complemented
176	#2534	C₂²	1	4	yes	—
177	#2534	C₂²	1	2	yes	—
178	#2534	C₂²	1	2	yes	—
179	#2504	C₂²	1	1	yes	characteristic, complemented
180	#2504	C₂²	1	2	yes	complemented
181	#2502	C₂²	1	1	yes	characteristic, complemented
182	#2502	C₂²	1	2	yes	complemented
183	#2499	C₂²	1	2	yes	complemented
184	#2492	C₂²	1	4	yes	complemented
185	#2489	C₂²	1	4	yes	complemented
186	#2487	C₂²	1	2	yes	complemented
187	#2487	C₂²	1	2	yes	complemented
188	#2487	C₂²	1	2	yes	complemented
189	#2482	C₂²	1	2	yes	—
190	#2482	C₂²	1	2	yes	—
191	#2480	C₂²	1	4	yes	—
192	#2480	C₂²	1	4	yes	—
193	#2480	C₂²	1	4	yes	—
194	#2480	C₂²	1	4	yes	—
195	#2477	C₂²	1	4	yes	complemented
196	#2477	C₂²	1	4	yes	complemented
197	#2472	C₂²	1	4	yes	—
198	#2472	C₂²	1	4	yes	—
199	#2472	C₂²	1	4	yes	—
200	#2472	C₂²	1	4	yes	—
201	#2465	C₂²	1	4	yes	complemented
202	#2465	C₂²	1	4	yes	complemented
203	#2463	C₂²	1	4	yes	complemented
204	#2463	C₂²	1	4	yes	complemented
205	#2461	C₂²	1	4	yes	complemented
206	#2461	C₂²	1	4	yes	complemented
207	#2452	C₂²	1	4	yes	complemented
208	#2452	C₂²	1	4	yes	complemented
209	#2449	C₂²	1	4	yes	complemented
210	#2449	C₂²	1	4	yes	complemented
211	#2436	C₂²	1	1	yes	characteristic, complemented
212	#2436	C₂²	1	2	yes	complemented
213	#2434	C₂²	1	1	yes	characteristic, complemented
214	#2434	C₂²	1	2	yes	complemented
215	#2432	C₂²	1	2	yes	complemented
216	#2429	C₂²	1	4	yes	complemented
217	#2429	C₂²	1	4	yes	complemented
218	#2427	C₂²	1	4	yes	complemented
219	#2426	C₂²	1	4	yes	complemented
220	#2424	C₂²	1	4	yes	—
221	#2424	C₂²	1	4	yes	—
222	#2424	C₂²	1	4	yes	—
223	#2424	C₂²	1	4	yes	—
224	#2423	C₂²	1	4	yes	complemented
225	#2421	C₂²	1	4	yes	complemented
226	#2418	C₂²	1	4	yes	—
227	#2418	C₂²	1	4	yes	—
228	#2418	C₂²	1	4	yes	—
229	#2418	C₂²	1	4	yes	—
230	#2417	C₂²	1	4	yes	complemented
231	#2415	C₂²	1	4	yes	complemented
232	#2415	C₂²	1	4	yes	complemented
233	#2411	C₂²	1	2	yes	—
234	#2411	C₂²	1	2	yes	—
235	#2411	C₂²	1	4	yes	—
236	#2409	C₂²	1	4	yes	complemented
237	#2409	C₂²	1	2	yes	complemented
238	#2409	C₂²	1	2	yes	complemented
239	#2409	C₂²	1	2	yes	complemented
240	#2407	C₂²	1	4	yes	complemented
241	#2404	C₂²	1	2	yes	—
242	#2404	C₂²	1	2	yes	—
243	#2378	C₂²	1	2	yes	complemented
244	#2378	C₂²	1	2	yes	complemented
245	#2362	C₂²	1	4	yes	complemented
246	#2345	C₂²	1	2	yes	complemented
247	#2345	C₂²	1	2	yes	complemented
248	#2345	C₂²	1	2	yes	complemented
249	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
250	#2332	C₂²	1	2	yes	complemented
251	#2332	C₂²	1	2	yes	complemented
252	#2323	C₂²	1	4	yes	complemented
253	#2321	C₂²	1	2	yes	—
254	#2321	C₂²	1	2	yes	—
255	#2321	C₂²	1	2	yes	—
256	#2321	C₂²	1	2	yes	—
257	#2321	C₂²	1	2	yes	—
258	#2321	C₂²	1	2	yes	—
259	#2321	C₂²	1	2	yes	—
260	#2321	C₂²	1	2	yes	—
261	#2312	C₂²	1	2	yes	—
262	#2312	C₂²	1	2	yes	—
263	C₄×#120	C₂²	1	2	yes	—
264	C₄×#120	C₂²	1	2	yes	—
265	C₄×#120	C₂²	1	2	yes	—
266	C₄×#120	C₂²	1	2	yes	—
267	#2280	C₂²	1	1	yes	characteristic
268	#2280	C₂²	1	1	yes	characteristic
269	C₂⁶	C₂³	1	1	yes	characteristic
270	C₂²×#41	C₂³	1	1	yes	characteristic
271	C₂²×#41	C₂³	1	1	yes	characteristic
272	C₂²×#41	C₂³	1	1	yes	characteristic, complemented
273	C₂³×Q₈	C₂³	1	1	yes	characteristic
274	C₂³×Q₈	C₂³	1	2	yes	—
275	C₂³×Q₈	C₂³	1	1	yes	characteristic
276	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
277	C₂⁴×C₄	C₂³	1	2	yes	—
278	C₂⁴×C₄	C₂³	1	2	yes	—
279	C₂⁴×C₄	C₂³	1	1	yes	characteristic
280	C₂⁴×C₄	C₂³	1	1	yes	characteristic
281	#563	—	2	16	no	—
282	#562	—	2	16	no	—
283	#556	—	2	8	no	—
284	#554	—	2	8	no	—
285	#554	—	2	16	no	—
286	#553	—	2	8	no	—
287	#553	—	2	16	no	—
288	#552	—	2	8	no	—
289	D₄×Q₈	—	2	8	no	—
290	#548	—	2	8	no	—
291	#548	—	2	8	no	—
292	#547	—	2	8	no	—
293	#543	—	2	16	no	—
294	#543	—	2	16	no	—
295	#543	—	2	32	no	—
296	#543	—	2	16	no	—
297	#543	—	2	16	no	—
298	#543	—	2	32	no	—
299	#542	—	2	8	no	—
300	#542	—	2	16	no	—
301	#541	—	2	8	no	—
302	#539	—	2	16	no	—
303	#538	—	2	16	no	—
304	#538	—	2	16	no	—
305	#537	—	2	8	no	—
306	#536	—	2	8	no	—
307	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
308	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
309	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
310	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
312	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
313	C₂×#126	C₂³	1	2	yes	—
314	C₂×#126	C₂³	1	2	yes	—
315	C₂×#126	C₂³	1	2	yes	—
316	C₂×#126	C₂³	1	2	yes	—
317	C₂×#126	C₂³	1	2	yes	complemented
318	C₂×#126	C₂³	1	2	yes	complemented
319	C₂×#126	C₂³	1	2	yes	complemented
320	C₂×#125	C₂³	1	2	yes	complemented
321	C₂×#125	C₂³	1	2	yes	complemented
322	C₂×#125	C₂³	1	1	yes	characteristic, complemented
323	C₂×#125	C₂³	1	2	yes	complemented
324	C₂×#125	C₂³	1	2	yes	complemented
325	C₂×#124	C₂³	1	2	yes	—
326	C₂×#124	C₂³	1	2	yes	—
327	C₂×#124	C₂³	1	2	yes	—
328	C₂×#124	C₂³	1	2	yes	—
329	C₂×#124	C₂³	1	2	yes	complemented
330	C₂×#124	C₂³	1	1	yes	characteristic, complemented
331	C₂×#124	C₂³	1	2	yes	complemented
332	C₂×#124	C₂³	1	4	yes	complemented
333	#525	—	2	8	no	—
334	#525	—	2	8	no	—
335	C₂×#123	C₂³	1	2	yes	—
336	C₂×#123	C₂³	1	1	yes	characteristic
337	C₂×#123	C₂³	1	1	yes	characteristic
338	C₂×#123	C₂³	1	2	yes	—
339	C₂×#123	C₂³	1	2	yes	—
340	C₂×#123	C₂³	1	2	yes	—
341	C₂×#123	C₂³	1	2	yes	—
342	C₂×#123	C₂³	1	2	yes	—
343	C₂×#123	C₂³	1	4	yes	—
344	C₂×#123	C₂³	1	2	yes	—
345	C₂×#123	C₂³	1	2	yes	complemented
346	C₂×#123	C₂³	1	2	yes	complemented
347	C₂×#123	C₂³	1	2	yes	complemented
348	C₂×C₂²⋊Q₈	—	2	16	no	—
349	C₂×C₂²⋊Q₈	—	2	8	no	—
350	C₂×C₂²⋊Q₈	—	2	16	no	—
351	C₂×C₂²⋊Q₈	—	2	16	no	—
352	C₂×C₂²⋊Q₈	—	2	16	no	—
353	C₂×C₂²⋊Q₈	—	2	16	no	—
354	C₂×C₂²⋊Q₈	D₄	1	16	yes	complemented
355	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
356	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
358	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
362	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
363	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
364	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
365	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
367	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
368	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
369	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
370	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
371	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
372	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
373	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
374	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
375	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
376	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
377	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
378	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
379	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
380	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
381	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
382	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
383	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
384	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
385	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
386	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
387	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
388	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
389	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
390	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
391	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
392	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
393	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
394	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
395	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
396	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
397	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
398	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
399	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
400	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
401	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
402	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
403	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
404	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
405	C₂×#121	C₂³	1	1	yes	characteristic
406	C₂×#121	C₂³	1	1	yes	characteristic
407	C₂×#121	C₂³	1	2	yes	—
408	C₂×#121	C₂³	1	2	yes	—
409	C₂×#121	C₂³	1	1	yes	characteristic
410	C₂×#121	C₂³	1	1	yes	characteristic
411	C₂×#121	C₂³	1	2	yes	—
412	C₂×#121	C₂³	1	2	yes	—
413	C₂×#121	C₂³	1	2	yes	—
414	C₂×#121	C₂³	1	2	yes	—
415	C₂×#121	C₂³	1	4	yes	—
416	C₂×#121	C₂³	1	4	yes	—
417	C₂×#121	C₂³	1	1	yes	characteristic, complemented
418	C₂×#121	C₂³	1	2	yes	complemented
419	C₂×#120	C₂³	1	2	yes	—
420	C₂×#120	C₂³	1	2	yes	—
421	C₂×#120	C₂³	1	2	yes	—
422	C₂×#120	C₂³	1	2	yes	—
423	C₂×#120	C₂³	1	1	yes	characteristic
424	C₂×#120	C₂³	1	2	yes	—
425	C₂×#120	C₂³	1	1	yes	characteristic
426	C₂×#120	C₂³	1	2	yes	—
427	C₂×#120	C₂³	1	4	yes	—
428	C₂×#120	C₂³	1	2	yes	—
429	C₂×#120	C₂³	1	2	yes	—
430	C₂×#120	C₂³	1	4	yes	—
431	C₂×#120	C₂³	1	2	yes	—
432	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
433	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
434	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
435	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
436	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
437	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
438	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
439	C₂×C₄×D₄	C₂³	1	2	yes	—
440	C₂×C₄×D₄	C₂³	1	2	yes	—
441	C₂×C₄×D₄	C₂³	1	2	yes	—
442	C₂×C₄×D₄	C₂³	1	2	yes	—
443	C₂×C₄×D₄	C₂³	1	2	yes	—
444	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
445	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
446	C₂×C₄×D₄	C₂³	1	2	yes	—
447	C₂×C₄×D₄	C₂³	1	4	yes	—
448	C₂×C₄×D₄	C₂³	1	4	yes	—
449	C₂×C₄×D₄	C₂³	1	4	yes	—
450	C₂×C₄×D₄	C₂³	1	4	yes	—
451	C₂×C₄×D₄	C₂³	1	2	yes	complemented
452	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
453	C₂×#117	C₂³	1	1	yes	characteristic
454	C₂×#117	C₂³	1	1	yes	characteristic
455	C₂×#117	C₂³	1	2	yes	—
456	C₂×#117	C₂³	1	2	yes	—
457	C₂×#117	C₂³	1	2	yes	complemented
458	C₂×#117	C₂³	1	1	yes	characteristic, complemented
459	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
460	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
461	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
462	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
463	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
464	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
466	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
467	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
468	C₂²×C₂²⋊C₄	—	2	8	no	—
469	C₂²×C₂²⋊C₄	—	2	16	no	—
470	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
471	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
472	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
473	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
474	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
475	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
476	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
477	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
478	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
479	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
480	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
481	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
482	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
483	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
484	#400	C₂³	1	4	yes	complemented
485	#400	C₂³	1	4	yes	complemented
486	#400	C₂³	1	4	yes	complemented
487	#400	C₂³	1	4	yes	complemented
488	#400	C₂³	1	4	yes	complemented
489	#400	C₂³	1	4	yes	complemented
490	#399	C₂³	1	4	yes	—
491	#399	C₂³	1	4	yes	—
492	#399	C₂³	1	4	yes	—
493	#399	C₂³	1	4	yes	—
494	#399	C₂³	1	4	yes	complemented
495	#399	C₂³	1	4	yes	complemented
496	#399	C₂³	1	4	yes	complemented
497	#398	C₂³	1	4	yes	complemented
498	#398	C₂³	1	4	yes	complemented
499	#398	C₂³	1	4	yes	complemented
500	#398	C₂³	1	4	yes	complemented
501	#398	C₂³	1	4	yes	complemented
502	#398	C₂³	1	4	yes	complemented
503	#398	C₂³	1	4	yes	complemented
504	#398	C₂³	1	4	yes	complemented
505	#398	C₂³	1	4	yes	complemented
506	#398	C₂³	1	2	yes	complemented
507	#398	C₂³	1	2	yes	complemented
508	#398	C₂³	1	4	yes	complemented
509	#398	C₂³	1	4	yes	complemented
510	#397	C₂³	1	4	yes	—
511	#397	C₂³	1	4	yes	—
512	#397	C₂³	1	4	yes	—
513	#397	C₂³	1	4	yes	—
514	#397	C₂³	1	4	yes	—
515	#397	C₂³	1	4	yes	—
516	#397	C₂³	1	4	yes	—
517	#397	C₂³	1	4	yes	—
518	#397	C₂³	1	4	yes	—
519	#397	C₂³	1	4	yes	—
520	#397	C₂³	1	4	yes	—
521	#397	C₂³	1	4	yes	—
522	#397	C₂³	1	2	yes	complemented
523	#397	C₂³	1	2	yes	complemented
524	#397	C₂³	1	4	yes	complemented
525	#397	C₂³	1	4	yes	complemented
526	#396	C₂³	1	4	yes	—
527	#396	C₂³	1	4	yes	—
528	#396	C₂³	1	4	yes	—
529	#396	C₂³	1	4	yes	—
530	#396	C₂³	1	4	yes	—
531	#396	C₂³	1	4	yes	—
532	#396	C₂³	1	4	yes	—
533	#396	C₂³	1	4	yes	—
534	#396	C₂³	1	4	yes	complemented
535	#396	C₂³	1	4	yes	complemented
536	#396	C₂³	1	4	yes	complemented
537	#396	C₂³	1	4	yes	complemented
538	#396	C₂³	1	4	yes	complemented
539	#396	C₂³	1	4	yes	complemented
540	#395	C₂³	1	4	yes	complemented
541	#395	C₂³	1	4	yes	complemented
542	#395	C₂³	1	4	yes	complemented
543	#395	C₂³	1	4	yes	complemented
544	#395	C₂³	1	2	yes	complemented
545	#395	C₂³	1	2	yes	complemented
546	#395	C₂³	1	4	yes	complemented
547	#395	C₂³	1	4	yes	complemented
548	#395	C₂³	1	4	yes	complemented
549	#395	C₂³	1	4	yes	complemented
550	#394	C₂³	1	4	yes	—
551	#394	C₂³	1	4	yes	—
552	#394	C₂³	1	4	yes	—
553	#394	C₂³	1	4	yes	—
554	#394	C₂³	1	4	yes	—
555	#394	C₂³	1	4	yes	—
556	#394	C₂³	1	4	yes	—
557	#394	C₂³	1	4	yes	—
558	#394	C₂³	1	4	yes	—
559	#394	C₂³	1	4	yes	—
560	#394	C₂³	1	4	yes	—
561	#394	C₂³	1	4	yes	—
562	#394	C₂³	1	4	yes	—
563	#394	C₂³	1	4	yes	—
564	#394	C₂³	1	4	yes	—
565	#394	C₂³	1	4	yes	—
566	#394	C₂³	1	4	yes	complemented
567	#394	C₂³	1	4	yes	complemented
568	#394	C₂³	1	4	yes	complemented
569	#393	C₂³	1	4	yes	—
570	#393	C₂³	1	4	yes	—
571	#393	C₂³	1	4	yes	—
572	#393	C₂³	1	4	yes	—
573	#393	C₂³	1	4	yes	complemented
574	#393	C₂³	1	4	yes	complemented
575	#393	C₂³	1	2	yes	complemented
576	#393	C₂³	1	2	yes	complemented
577	#393	C₂³	1	4	yes	complemented
578	#393	C₂³	1	4	yes	complemented
579	#393	C₂³	1	4	yes	complemented
580	#392	C₂³	1	4	yes	—
581	#392	C₂³	1	4	yes	—
582	#392	C₂³	1	4	yes	—
583	#392	C₂³	1	4	yes	—
584	#391	C₂³	1	2	yes	complemented
585	#391	C₂³	1	4	yes	complemented
586	#391	C₂³	1	4	yes	complemented
587	#391	C₂³	1	4	yes	complemented
588	#391	C₂³	1	4	yes	complemented
589	#391	C₂³	1	2	yes	complemented
590	#391	C₂³	1	2	yes	complemented
591	#391	C₂³	1	4	yes	complemented
592	#391	C₂³	1	4	yes	complemented
593	#391	C₂³	1	4	yes	complemented
594	#391	C₂³	1	4	yes	complemented
595	#391	C₂³	1	4	yes	complemented
596	#390	C₂³	1	4	yes	—
597	#390	C₂³	1	4	yes	—
598	#390	C₂³	1	4	yes	—
599	#390	C₂³	1	4	yes	—
600	#390	C₂³	1	4	yes	—
601	#390	C₂³	1	4	yes	—
602	#390	C₂³	1	4	yes	—
603	#390	C₂³	1	4	yes	—
604	#390	C₂³	1	2	yes	complemented
605	#390	C₂³	1	4	yes	complemented
606	#389	C₂³	1	4	yes	complemented
607	#389	C₂³	1	4	yes	complemented
608	#389	C₂³	1	4	yes	complemented
609	#389	C₂³	1	4	yes	complemented
610	#389	C₂³	1	4	yes	complemented
611	#389	C₂³	1	4	yes	complemented
612	#389	C₂³	1	4	yes	complemented
613	#389	C₂³	1	4	yes	complemented
614	#389	C₂³	1	4	yes	complemented
615	#389	C₂³	1	4	yes	complemented
616	#389	C₂³	1	4	yes	complemented
617	#389	C₂³	1	4	yes	complemented
618	#388	C₂³	1	4	yes	—
619	#388	C₂³	1	4	yes	—
620	#388	C₂³	1	4	yes	—
621	#388	C₂³	1	4	yes	—
622	#388	C₂³	1	4	yes	—
623	#388	C₂³	1	4	yes	—
624	#388	C₂³	1	4	yes	—
625	#388	C₂³	1	4	yes	—
626	#388	C₂³	1	4	yes	—
627	#388	C₂³	1	4	yes	—
628	#388	C₂³	1	4	yes	—
629	#388	C₂³	1	4	yes	—
630	#388	C₂³	1	4	yes	—
631	#388	C₂³	1	4	yes	—
632	#388	C₂³	1	4	yes	—
633	#388	C₂³	1	4	yes	—
634	#388	C₂³	1	4	yes	—
635	#388	C₂³	1	4	yes	—
636	#388	C₂³	1	4	yes	—
637	#388	C₂³	1	4	yes	—
638	#388	C₂³	1	4	yes	—
639	#388	C₂³	1	4	yes	—
640	#388	C₂³	1	4	yes	—
641	#388	C₂³	1	4	yes	—
642	#388	C₂³	1	4	yes	complemented
643	#388	C₂³	1	4	yes	complemented
644	#388	C₂³	1	4	yes	complemented
645	#388	C₂³	1	4	yes	complemented
646	#388	C₂³	1	4	yes	complemented
647	#388	C₂³	1	4	yes	complemented
648	#387	C₂³	1	4	yes	complemented
649	#387	C₂³	1	4	yes	complemented
650	#387	C₂³	1	4	yes	complemented
651	#387	C₂³	1	4	yes	complemented
652	#387	C₂³	1	4	yes	complemented
653	#387	C₂³	1	4	yes	complemented
654	#387	C₂³	1	4	yes	complemented
655	#387	C₂³	1	4	yes	complemented
656	#387	C₂³	1	4	yes	complemented
657	#387	C₂³	1	4	yes	complemented
658	#387	C₂³	1	4	yes	complemented
659	#387	C₂³	1	4	yes	complemented
660	#386	C₂³	1	4	yes	—
661	#386	C₂³	1	4	yes	—
662	#386	C₂³	1	2	yes	—
663	#386	C₂³	1	2	yes	—
664	#386	C₂³	1	2	yes	—
665	#386	C₂³	1	2	yes	—
666	#386	C₂³	1	2	yes	—
667	#386	C₂³	1	2	yes	—
668	#386	C₂³	1	2	yes	—
669	#386	C₂³	1	2	yes	—
670	#386	C₂³	1	4	yes	—
671	#386	C₂³	1	4	yes	—
672	#386	C₂³	1	4	yes	—
673	#386	C₂³	1	4	yes	—
674	#386	C₂³	1	4	yes	—
675	#386	C₂³	1	4	yes	—
676	#386	C₂³	1	4	yes	—
677	#386	C₂³	1	4	yes	—
678	#386	C₂³	1	2	yes	—
679	#386	C₂³	1	2	yes	—
680	#386	C₂³	1	2	yes	—
681	#386	C₂³	1	2	yes	—
682	#386	C₂³	1	4	yes	—
683	#386	C₂³	1	4	yes	—
684	#386	C₂³	1	2	yes	—
685	#386	C₂³	1	4	yes	—
686	#386	C₂³	1	2	yes	—
687	#386	C₂³	1	4	yes	—
688	#386	C₂³	1	4	yes	—
689	#386	C₂³	1	4	yes	—
690	#386	C₂³	1	4	yes	—
691	#385	C₂³	1	2	yes	—
692	#385	C₂³	1	2	yes	—
693	#385	C₂³	1	2	yes	—
694	#385	C₂³	1	2	yes	—
695	#385	C₂³	1	2	yes	—
696	#385	C₂³	1	2	yes	—
697	#385	C₂³	1	2	yes	—
698	#385	C₂³	1	2	yes	—
699	#385	C₂³	1	2	yes	—
700	#385	C₂³	1	2	yes	—
701	#385	C₂³	1	2	yes	—
702	#385	C₂³	1	2	yes	—
703	#385	C₂³	1	4	yes	—
704	#385	C₂³	1	4	yes	—
705	#385	C₂³	1	4	yes	—
706	#385	C₂³	1	4	yes	—
707	#385	C₂³	1	2	yes	—
708	#385	C₂³	1	4	yes	—
709	#385	C₂³	1	2	yes	—
710	#385	C₂³	1	4	yes	—
711	#385	C₂³	1	4	yes	—
712	#385	C₂³	1	4	yes	—
713	#385	C₂³	1	4	yes	—
714	#385	C₂³	1	4	yes	complemented
715	#385	C₂³	1	4	yes	complemented
716	#385	C₂³	1	4	yes	complemented
717	#385	C₂³	1	4	yes	complemented
718	#385	C₂³	1	4	yes	complemented
719	#385	C₂³	1	4	yes	complemented
720	#384	C₂³	1	2	yes	complemented
721	#384	C₂³	1	4	yes	complemented
722	#382	C₂³	1	2	yes	complemented
723	#382	C₂³	1	4	yes	complemented
724	#381	C₂³	1	2	yes	—
725	#381	C₂³	1	2	yes	—
726	#381	C₂³	1	4	yes	—
727	#381	C₂³	1	2	yes	—
728	#381	C₂³	1	2	yes	—
729	#380	C₂³	1	2	yes	—
730	#380	C₂³	1	2	yes	—
731	#380	C₂³	1	2	yes	—
732	#380	C₂³	1	2	yes	—
733	#380	C₂³	1	2	yes	—
734	#380	C₂³	1	2	yes	—
735	#380	C₂³	1	4	yes	—
736	#380	C₂³	1	4	yes	—
737	#380	C₂³	1	4	yes	—
738	#380	C₂³	1	4	yes	—
739	#380	C₂³	1	2	yes	—
740	#380	C₂³	1	2	yes	—
741	#380	C₂³	1	4	yes	complemented
742	#380	C₂³	1	4	yes	complemented
743	#380	C₂³	1	4	yes	complemented
744	#379	C₂³	1	2	yes	—
745	#379	C₂³	1	4	yes	—
746	#379	C₂³	1	2	yes	—
747	#379	C₂³	1	1	yes	characteristic
748	#379	C₂³	1	2	yes	—
749	#379	C₂³	1	1	yes	characteristic
750	#379	C₂³	1	2	yes	—
751	#379	C₂³	1	2	yes	—
752	#379	C₂³	1	2	yes	—
753	#379	C₂³	1	2	yes	—
754	#379	C₂³	1	2	yes	—
755	#379	C₂³	1	4	yes	—
756	#379	C₂³	1	2	yes	—
757	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
758	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
759	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
760	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
761	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
762	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
763	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
764	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
765	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
766	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
767	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
768	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
769	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
770	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
771	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
772	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
773	C₂⁵	—	2	4	no	—
774	C₂⁵	—	2	8	no	—
775	C₂⁵	—	8	2	no	—
776	C₂⁵	—	8	2	no	—
777	C₂⁵	C₂⁴	1	2	yes	—
778	C₂⁵	C₂⁴	1	2	yes	—
779	C₂⁵	C₂⁴	1	1	yes	characteristic
780	C₂⁵	C₂⁴	1	2	yes	—
781	C₂×#41	—	2	4	no	—
782	C₂×#41	—	2	4	no	—
783	C₂×#41	—	2	4	no	—
784	C₂×#41	—	8	2	no	—
785	C₂×#41	—	8	2	no	—
786	C₂×#41	—	8	2	no	—
787	C₂²×Q₈	—	2	4	no	—
788	C₂²×Q₈	—	2	4	no	—
789	C₂²×Q₈	—	2	8	no	—
790	C₂²×Q₈	—	8	2	no	—
791	C₂²×Q₈	—	8	2	no	—
792	C₂²×Q₈	—	8	4	no	—
793	C₂²×Q₈	—	8	2	no	—
794	C₂²×Q₈	C₂×D₄	1	8	yes	—
795	C₂²×Q₈	C₂⁴	1	2	yes	—
796	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
797	C₂²×Q₈	C₂⁴	1	2	yes	—
798	C₂²×Q₈	C₂⁴	1	4	yes	—
799	C₂²×Q₈	C₂⁴	1	4	yes	—
800	C₂²×Q₈	C₂⁴	1	2	yes	—
801	C₂²×Q₈	C₂⁴	1	2	yes	—
802	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
803	C₂²×Q₈	C₂⁴	1	2	yes	—
804	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
805	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
806	C₂²×D₄	C₂⁴	1	1	yes	characteristic
807	C₂²×D₄	C₂⁴	1	1	yes	characteristic
808	C₂²×D₄	C₂⁴	1	2	yes	—
809	C₂²×D₄	C₂⁴	1	1	yes	characteristic
810	C₂²×D₄	C₂⁴	1	2	yes	—
811	C₂²×D₄	C₂⁴	1	1	yes	characteristic
812	C₂²×D₄	C₂⁴	1	4	yes	—
813	C₂²×D₄	C₂⁴	1	4	yes	—
814	C₂²×D₄	C₂⁴	1	4	yes	—
815	C₂²×D₄	C₂⁴	1	4	yes	—
816	C₂²×D₄	C₂⁴	1	2	yes	—
817	C₂²×D₄	C₂⁴	1	1	yes	characteristic
818	C₂²×D₄	C₂⁴	1	1	yes	characteristic
819	C₂²×D₄	C₂⁴	1	2	yes	—
820	C₂²×D₄	C₂⁴	1	1	yes	characteristic
821	C₂²×D₄	C₂⁴	1	2	yes	—
822	C₂²×D₄	C₂⁴	1	1	yes	characteristic
823	C₂³×C₄	—	2	4	no	—
824	C₂³×C₄	—	2	8	no	—
825	C₂³×C₄	—	2	8	no	—
826	C₂³×C₄	—	8	2	no	—
827	C₂³×C₄	—	8	4	no	—
828	C₂³×C₄	—	8	4	no	—
829	C₂³×C₄	—	8	2	no	—
830	C₂³×C₄	C₂×D₄	1	8	yes	—
831	C₂³×C₄	C₂⁴	1	2	yes	—
832	C₂³×C₄	C₂⁴	1	2	yes	—
833	C₂³×C₄	C₂⁴	1	2	yes	—
834	C₂³×C₄	C₂⁴	1	4	yes	—
835	C₂³×C₄	C₂⁴	1	4	yes	—
836	C₂³×C₄	C₂⁴	1	4	yes	—
837	C₂³×C₄	C₂⁴	1	4	yes	—
838	C₂³×C₄	C₂⁴	1	2	yes	—
839	C₂³×C₄	C₂⁴	1	2	yes	—
840	C₂³×C₄	C₂⁴	1	2	yes	—
841	C₂³×C₄	C₂⁴	1	2	yes	—
842	C₂³×C₄	C₂⁴	1	2	yes	—
843	C₂³×C₄	C₂⁴	1	2	yes	—
844	C₂³×C₄	C₂⁴	1	1	yes	characteristic
845	C₂³×C₄	C₂⁴	1	1	yes	characteristic
846	C₂³×C₄	C₂⁴	1	2	yes	—
847	C₂³×C₄	C₂⁴	1	1	yes	characteristic
848	C₂³×C₄	C₂⁴	1	1	yes	characteristic
849	C₂³×C₄	C₂⁴	1	2	yes	—
850	C₂³×C₄	C₂⁴	1	2	yes	—
851	C₂³×C₄	C₂⁴	1	1	yes	characteristic
852	C₂³×C₄	C₂⁴	1	1	yes	characteristic
853	C₂³×C₄	C₂⁴	1	1	yes	characteristic
854	C₂³×C₄	C₂⁴	1	1	yes	characteristic
855	C₄⋊Q₈	—	2	4	no	—
856	C₄⋊Q₈	—	2	8	no	—
857	C₄⋊Q₈	—	2	8	no	—
858	C₄⋊Q₈	—	2	4	no	—
859	C₄⋊Q₈	—	8	2	no	—
860	C₄⋊Q₈	—	8	4	no	—
861	#126	—	2	8	no	—
862	#126	—	2	8	no	—
863	#126	—	2	8	no	—
864	#126	—	2	8	no	—
865	#126	—	2	8	no	—
866	#126	—	2	8	no	—
867	#126	—	2	8	no	—
868	#125	—	2	8	no	—
869	#125	—	2	8	no	—
870	#125	—	2	4	no	—
871	#125	—	2	8	no	—
872	#125	—	2	8	no	—
873	#124	—	2	4	no	—
874	#124	—	2	8	no	—
875	#124	—	2	8	no	—
876	#124	—	2	8	no	—
877	#124	—	2	8	no	—
878	#124	—	2	8	no	—
879	#124	—	8	2	no	—
880	#124	—	8	4	no	—
881	#123	—	2	4	no	—
882	#123	—	2	4	no	—
883	#123	—	2	8	no	—
884	#123	—	2	8	no	—
885	#123	—	2	8	no	—
886	#123	—	2	8	no	—
887	#123	—	2	8	no	—
888	#123	—	2	8	no	—
889	#123	—	2	8	no	—
890	#123	—	2	8	no	—
891	#123	—	8	2	no	—
892	#123	—	8	4	no	—
893	#123	—	8	2	no	—
894	C₂²⋊Q₈	—	2	16	no	—
895	C₂²⋊Q₈	—	2	16	no	—
896	C₂²⋊Q₈	—	2	16	no	—
897	C₂²⋊Q₈	—	2	16	no	—
898	C₂²⋊Q₈	—	2	4	no	—
899	C₂²⋊Q₈	—	2	4	no	—
900	C₂²⋊Q₈	—	2	8	no	—
901	C₂²⋊Q₈	—	2	8	no	—
902	C₂²⋊Q₈	—	2	8	no	—
903	C₂²⋊Q₈	—	2	8	no	—
904	C₂²⋊Q₈	—	2	8	no	—
905	C₂²⋊Q₈	—	2	8	no	—
906	C₂²⋊Q₈	—	2	4	no	—
907	C₂²⋊Q₈	—	2	4	no	—
908	C₂²⋊Q₈	—	2	4	no	—
909	C₂²⋊Q₈	—	2	4	no	—
910	C₂²⋊Q₈	—	2	8	no	—
911	C₂²⋊Q₈	—	2	8	no	—
912	C₂²⋊Q₈	—	2	16	no	—
913	C₂²⋊Q₈	—	2	16	no	—
914	C₂²⋊Q₈	—	2	16	no	—
915	C₂²⋊Q₈	—	2	16	no	—
916	C₂²⋊Q₈	—	2	16	no	—
917	C₂²⋊Q₈	—	2	16	no	—
918	C₂²⋊Q₈	—	2	16	no	—
919	C₂²⋊Q₈	—	2	16	no	—
920	C₂²⋊Q₈	—	2	16	no	—
921	C₂²⋊Q₈	—	2	16	no	—
922	C₂²⋊Q₈	—	2	16	no	—
923	C₂²⋊Q₈	—	2	16	no	—
924	C₂²⋊Q₈	—	2	4	no	—
925	C₂²⋊Q₈	—	2	8	no	—
926	C₂²⋊Q₈	—	2	8	no	—
927	C₂²⋊Q₈	—	2	8	no	—
928	C₂²⋊Q₈	—	2	8	no	—
929	C₂²⋊Q₈	—	2	16	no	—
930	C₂²⋊Q₈	—	2	16	no	—
931	C₂²⋊Q₈	—	2	16	no	—
932	C₂²⋊Q₈	—	2	16	no	—
933	C₂²⋊Q₈	—	8	4	no	—
934	C₂²⋊Q₈	—	8	4	no	—
935	C₂²⋊Q₈	—	8	4	no	—
936	C₂²⋊Q₈	—	8	4	no	—
937	C₂²⋊Q₈	—	8	4	no	—
938	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
939	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
940	C₂²⋊Q₈	C₂×D₄	1	16	yes	—
941	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
942	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
943	C₂²⋊Q₈	C₂×D₄	1	16	yes	—
944	#121	—	2	4	no	—
945	#121	—	2	4	no	—
946	#121	—	2	4	no	—
947	#121	—	2	4	no	—
948	#121	—	2	8	no	—
949	#121	—	2	8	no	—
950	#121	—	2	4	no	—
951	#121	—	2	8	no	—
952	#121	—	2	8	no	—
953	#121	—	2	8	no	—
954	#121	—	2	8	no	—
955	#121	—	2	8	no	—
956	#121	—	8	4	no	—
957	#121	—	8	4	no	—
958	#120	—	2	4	no	—
959	#120	—	2	8	no	—
960	#120	—	2	4	no	—
961	#120	—	2	8	no	—
962	#120	—	2	8	no	—
963	#120	—	2	8	no	—
964	#120	—	2	8	no	—
965	#120	—	8	2	no	—
966	#120	—	8	4	no	—
967	#120	—	8	2	no	—
968	#120	—	8	2	no	—
969	#120	—	8	4	no	—
970	#120	—	8	2	no	—
971	C₄×Q₈	—	2	4	no	—
972	C₄×Q₈	—	2	4	no	—
973	C₄×Q₈	—	2	4	no	—
974	C₄×Q₈	—	2	8	no	—
975	C₄×Q₈	—	8	4	no	—
976	C₄×D₄	—	2	8	no	—
977	C₄×D₄	—	2	4	no	—
978	C₄×D₄	—	2	4	no	—
979	C₄×D₄	—	2	4	no	—
980	C₄×D₄	—	2	4	no	—
981	C₄×D₄	—	2	8	no	—
982	C₄×D₄	—	2	8	no	—
983	C₄×D₄	—	2	8	no	—
984	C₄×D₄	—	2	8	no	—
985	C₄×D₄	—	2	8	no	—
986	C₄×D₄	—	2	8	no	—
987	C₄×D₄	—	2	4	no	—
988	C₄×D₄	—	8	4	no	—
989	C₄×D₄	—	8	4	no	—
990	C₄×D₄	—	8	4	no	—
991	C₄×D₄	—	8	4	no	—
992	#117	—	2	4	no	—
993	#117	—	2	4	no	—
994	#117	—	2	4	no	—
995	#117	—	2	8	no	—
996	#117	—	8	2	no	—
997	#117	—	8	2	no	—
998	C₂×C₄⋊C₄	—	2	8	no	—
999	C₂×C₄⋊C₄	—	2	4	no	—
1000	C₂×C₄⋊C₄	—	2	8	no	—
1001	C₂×C₄⋊C₄	—	2	8	no	—
1002	C₂×C₄⋊C₄	—	2	8	no	—
1003	C₂×C₄⋊C₄	—	2	4	no	—
1004	C₂×C₄⋊C₄	—	2	8	no	—
1005	C₂×C₄⋊C₄	C₂×D₄	1	8	yes	—
1006	C₂×C₄⋊C₄	C₂×D₄	1	16	yes	—
1007	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1008	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1009	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1010	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1011	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1012	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1013	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1014	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1015	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1016	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1017	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1020	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1021	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1022	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1026	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1029	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1030	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1032	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1033	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1034	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1035	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1036	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1037	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1038	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1039	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1040	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1041	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1043	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1044	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1045	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1046	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1047	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1048	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1049	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1050	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1051	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1052	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1053	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1054	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1055	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1056	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1057	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1059	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1060	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1062	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1063	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1064	C₂×C₂²⋊C₄	—	2	8	no	—
1065	C₂×C₂²⋊C₄	—	2	8	no	—
1066	C₂×C₂²⋊C₄	—	2	8	no	—
1067	C₂×C₂²⋊C₄	—	2	8	no	—
1068	C₂×C₂²⋊C₄	—	2	8	no	—
1069	C₂×C₂²⋊C₄	—	2	8	no	—
1070	C₂×C₂²⋊C₄	—	2	8	no	—
1071	C₂×C₂²⋊C₄	—	2	8	no	—
1072	C₂×C₂²⋊C₄	—	2	8	no	—
1073	C₂×C₂²⋊C₄	—	2	16	no	—
1074	C₂×C₂²⋊C₄	—	2	16	no	—
1075	C₂×C₂²⋊C₄	—	2	16	no	—
1076	C₂×C₂²⋊C₄	—	2	16	no	—
1077	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	—
1078	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1079	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1080	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1081	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1082	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1083	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1084	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1085	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1086	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1087	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1088	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1090	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1093	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1094	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1096	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1100	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1102	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1103	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1104	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1107	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1108	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1109	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1110	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1111	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1112	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1113	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1114	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1115	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1116	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1117	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1118	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1119	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1120	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1121	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1122	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1123	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1124	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1125	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1126	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1127	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1128	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1129	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1130	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1131	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1132	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1133	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1134	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1135	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1136	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1137	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1138	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1139	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1140	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1141	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1142	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1143	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1144	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1145	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1146	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1147	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1148	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1149	C₂×C₄²	C₂⁴	1	2	yes	—
1150	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1151	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1152	C₂×C₄²	C₂⁴	1	2	yes	—
1153	C₂×C₄²	C₂⁴	1	2	yes	—
1154	C₂×C₄²	C₂⁴	1	2	yes	—
1155	C₂×C₄²	C₂⁴	1	2	yes	—
1156	C₂×C₄²	C₂⁴	1	4	yes	—
1157	C₂×C₄²	C₂⁴	1	2	yes	—
1158	C₂×C₄²	C₂⁴	1	2	yes	—
1159	C₂×C₄²	C₂⁴	1	4	yes	—
1160	C₂×C₄²	C₂⁴	1	4	yes	—
1161	C₂×C₄²	C₂⁴	1	4	yes	—
1162	C₂×C₄²	C₂⁴	1	4	yes	—
1163	#95	C₂⁴	1	4	yes	—
1164	#95	C₂⁴	1	4	yes	—
1165	#95	C₂⁴	1	2	yes	—
1166	#95	C₂⁴	1	2	yes	—
1167	#95	C₂⁴	1	4	yes	—
1168	#95	C₂⁴	1	4	yes	—
1169	#95	C₂⁴	1	4	yes	—
1170	#95	C₂⁴	1	4	yes	—
1171	#95	C₂⁴	1	4	yes	—
1172	#95	C₂⁴	1	4	yes	—
1173	#95	C₂⁴	1	4	yes	—
1174	#95	C₂⁴	1	4	yes	—
1175	#95	C₂⁴	1	4	yes	—
1176	#95	C₂⁴	1	4	yes	—
1177	#95	C₂⁴	1	4	yes	—
1178	#95	C₂⁴	1	4	yes	—
1179	#95	C₂⁴	1	4	yes	—
1180	#95	C₂⁴	1	4	yes	—
1181	#95	C₂⁴	1	4	yes	—
1182	#95	C₂⁴	1	4	yes	—
1183	#95	C₂⁴	1	4	yes	—
1184	#95	C₂⁴	1	4	yes	—
1185	#95	C₂⁴	1	4	yes	—
1186	#95	C₂⁴	1	4	yes	—
1187	#95	C₂⁴	1	4	yes	—
1188	#95	C₂⁴	1	4	yes	—
1189	#95	C₂⁴	1	4	yes	—
1190	#95	C₂⁴	1	4	yes	—
1191	#95	C₂⁴	1	4	yes	—
1192	#95	C₂⁴	1	4	yes	—
1193	#95	C₂⁴	1	4	yes	—
1194	#95	C₂⁴	1	4	yes	—
1195	#95	C₂⁴	1	4	yes	—
1196	#95	C₂⁴	1	4	yes	—
1197	#95	C₂⁴	1	4	yes	—
1198	#95	C₂⁴	1	4	yes	—
1199	#95	C₂⁴	1	4	yes	—
1200	C₂⁴	—	2	32	no	—
1201	C₂⁴	—	2	4	no	—
1202	C₂⁴	—	2	4	no	—
1203	C₂⁴	—	2	4	no	—
1204	C₂⁴	—	2	4	no	—
1205	C₂⁴	—	2	4	no	—
1206	C₂⁴	—	2	8	no	—
1207	C₂⁴	—	2	8	no	—
1208	C₂⁴	—	4	2	no	—
1209	C₂⁴	—	4	2	no	—
1210	C₂⁴	—	4	4	no	—
1211	C₂⁴	—	4	4	no	—
1212	C₂⁴	—	4	2	no	—
1213	C₂⁴	—	4	4	no	—
1214	C₂⁴	—	4	2	no	—
1215	C₂⁴	—	4	2	no	—
1216	C₂⁴	—	4	4	no	—
1217	C₂⁴	—	4	2	no	—
1218	C₂⁴	—	8	8	no	—
1219	C₂⁴	—	8	8	no	—
1220	C₂⁴	—	8	32	no	—
1221	C₂⁴	C₂²×D₄	1	4	yes	—
1222	C₂⁴	2₋¹⁺⁴	1	8	yes	—
1223	C₂⁴	C₂⁵	1	1	yes	characteristic
1224	C₂⁴	C₂⁵	1	2	yes	—
1225	C₂⁴	C₂⁵	1	1	yes	characteristic
1226	C₂⁴	C₂⁵	1	1	yes	characteristic
1227	C₂⁴	C₂⁵	1	1	yes	characteristic
1228	C₂⁴	C₂⁵	1	4	yes	—
1229	C₂⁴	C₂⁵	1	1	yes	characteristic
1230	#41	—	8	8	no	—
1231	#41	—	8	8	no	—
1232	#41	—	8	8	no	—
1233	C₂×Q₈	—	2	2	no	—
1234	C₂×Q₈	—	2	4	no	—
1235	C₂×Q₈	—	2	4	no	—
1236	C₂×Q₈	—	2	8	no	—
1237	C₂×Q₈	—	2	8	no	—
1238	C₂×Q₈	—	2	4	no	—
1239	C₂×Q₈	—	2	2	no	—
1240	C₂×Q₈	—	2	4	no	—
1241	C₂×Q₈	—	4	4	no	—
1242	C₂×Q₈	—	4	2	no	—
1243	C₂×Q₈	—	4	2	no	—
1244	C₂×Q₈	—	4	2	no	—
1245	C₂×Q₈	—	4	4	no	—
1246	C₂×Q₈	—	4	4	no	—
1247	C₂×Q₈	—	4	4	no	—
1248	C₂×Q₈	—	4	4	no	—
1249	C₂×Q₈	—	4	4	no	—
1250	C₂×Q₈	—	4	2	no	—
1251	C₂×Q₈	—	4	4	no	—
1252	C₂×Q₈	—	4	2	no	—
1253	C₂×Q₈	—	4	4	no	—
1254	C₂×Q₈	—	4	2	no	—
1255	C₂×Q₈	—	8	8	no	—
1256	C₂×Q₈	—	8	8	no	—
1257	C₂×Q₈	—	8	16	no	—
1258	C₂×Q₈	—	8	8	no	—
1259	C₂×Q₈	C₂²×D₄	1	4	yes	—
1260	C₂×Q₈	C₂²×D₄	1	4	yes	—
1261	C₂×Q₈	C₂²×D₄	1	8	yes	—
1262	C₂×D₄	—	2	2	no	—
1263	C₂×D₄	—	2	2	no	—
1264	C₂×D₄	—	2	4	no	—
1265	C₂×D₄	—	2	4	no	—
1266	C₂×D₄	—	2	4	no	—
1267	C₂×D₄	—	2	4	no	—
1268	C₂×D₄	—	2	4	no	—
1269	C₂×D₄	—	2	2	no	—
1270	C₂×D₄	—	2	4	no	—
1271	C₂×D₄	—	2	2	no	—
1272	C₂×D₄	—	2	2	no	—
1273	C₂×D₄	—	2	4	no	—
1274	C₂×D₄	—	2	2	no	—
1275	C₂×D₄	—	2	8	no	—
1276	C₂×D₄	—	2	8	no	—
1277	C₂×D₄	—	2	8	no	—
1278	C₂×D₄	—	2	8	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	2	4	no	—
1281	C₂×D₄	—	2	2	no	—
1282	C₂×D₄	—	2	4	no	—
1283	C₂×D₄	—	4	2	no	—
1284	C₂×D₄	—	4	4	no	—
1285	C₂×D₄	—	4	4	no	—
1286	C₂×D₄	—	4	4	no	—
1287	C₂×D₄	—	4	4	no	—
1288	C₂×D₄	—	4	4	no	—
1289	C₂×D₄	—	4	4	no	—
1290	C₂×D₄	—	4	4	no	—
1291	C₂×D₄	—	4	4	no	—
1292	C₂×D₄	—	4	2	no	—
1293	C₂×D₄	—	4	4	no	—
1294	C₂×D₄	—	4	2	no	—
1295	C₂×D₄	—	4	2	no	—
1296	C₂×D₄	—	4	4	no	—
1297	C₂×D₄	—	4	2	no	—
1298	C₂×D₄	—	4	4	no	—
1299	C₂×D₄	—	4	4	no	—
1300	C₂×D₄	—	4	2	no	—
1301	C₂²×C₄	—	2	4	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	2	no	—
1307	C₂²×C₄	—	2	2	no	—
1308	C₂²×C₄	—	2	8	no	—
1309	C₂²×C₄	—	2	8	no	—
1310	C₂²×C₄	—	2	8	no	—
1311	C₂²×C₄	—	2	8	no	—
1312	C₂²×C₄	—	2	4	no	—
1313	C₂²×C₄	—	2	4	no	—
1314	C₂²×C₄	—	2	4	no	—
1315	C₂²×C₄	—	2	4	no	—
1316	C₂²×C₄	—	2	4	no	—
1317	C₂²×C₄	—	4	2	no	—
1318	C₂²×C₄	—	4	2	no	—
1319	C₂²×C₄	—	4	2	no	—
1320	C₂²×C₄	—	4	2	no	—
1321	C₂²×C₄	—	4	4	no	—
1322	C₂²×C₄	—	4	4	no	—
1323	C₂²×C₄	—	4	4	no	—
1324	C₂²×C₄	—	4	4	no	—
1325	C₂²×C₄	—	4	4	no	—
1326	C₂²×C₄	—	4	2	no	—
1327	C₂²×C₄	—	4	2	no	—
1328	C₂²×C₄	—	4	2	no	—
1329	C₂²×C₄	—	4	2	no	—
1330	C₂²×C₄	—	4	4	no	—
1331	C₂²×C₄	—	4	4	no	—
1332	C₂²×C₄	—	4	4	no	—
1333	C₂²×C₄	—	4	4	no	—
1334	C₂²×C₄	—	4	4	no	—
1335	C₂²×C₄	—	4	4	no	—
1336	C₂²×C₄	—	4	4	no	—
1337	C₂²×C₄	—	4	4	no	—
1338	C₂²×C₄	—	4	4	no	—
1339	C₂²×C₄	—	4	4	no	—
1340	C₂²×C₄	—	4	4	no	—
1341	C₂²×C₄	—	4	4	no	—
1342	C₂²×C₄	—	4	4	no	—
1343	C₂²×C₄	—	4	2	no	—
1344	C₂²×C₄	—	4	4	no	—
1345	C₂²×C₄	—	4	2	no	—
1346	C₂²×C₄	—	8	8	no	—
1347	C₂²×C₄	—	8	16	no	—
1348	C₂²×C₄	—	8	16	no	—
1349	C₂²×C₄	—	8	8	no	—
1350	C₂²×C₄	C₂²×D₄	1	4	yes	—
1351	C₂²×C₄	C₂²×D₄	1	4	yes	—
1352	C₂²×C₄	C₂²×D₄	1	4	yes	—
1353	C₂²×C₄	C₂²×D₄	1	4	yes	—
1354	C₂²×C₄	C₂²×D₄	1	4	yes	—
1355	C₂²×C₄	C₂²×D₄	1	4	yes	—
1356	C₂²×C₄	C₂²×D₄	1	8	yes	—
1357	C₂²×C₄	C₂²×D₄	1	8	yes	—
1358	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1360	C₂²×C₄	C₂⁵	1	2	yes	—
1361	C₂²×C₄	C₂⁵	1	4	yes	—
1362	C₂²×C₄	C₂⁵	1	4	yes	—
1363	C₂²×C₄	C₂⁵	1	4	yes	—
1364	C₂²×C₄	C₂⁵	1	4	yes	—
1365	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁵	1	2	yes	—
1367	C₂²×C₄	C₂⁵	1	4	yes	—
1368	C₂²×C₄	C₂⁵	1	4	yes	—
1369	C₂²×C₄	C₂⁵	1	4	yes	—
1370	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1371	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1372	C₂²×C₄	C₂⁵	1	2	yes	—
1373	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1374	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1375	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1376	C₂²×C₄	C₂⁵	1	2	yes	—
1377	C₂²×C₄	C₂⁵	1	2	yes	—
1378	C₂²×C₄	C₂⁵	1	2	yes	—
1379	C₂²×C₄	C₂⁵	1	2	yes	—
1380	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1381	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1382	C₄⋊C₄	—	2	2	no	—
1383	C₄⋊C₄	—	2	2	no	—
1384	C₄⋊C₄	—	2	4	no	—
1385	C₄⋊C₄	—	2	4	no	—
1386	C₄⋊C₄	—	2	4	no	—
1387	C₄⋊C₄	—	2	8	no	—
1388	C₄⋊C₄	—	2	8	no	—
1389	C₄⋊C₄	—	2	8	no	—
1390	C₄⋊C₄	—	2	8	no	—
1391	C₄⋊C₄	—	2	8	no	—
1392	C₄⋊C₄	—	2	8	no	—
1393	C₄⋊C₄	—	2	8	no	—
1394	C₄⋊C₄	—	2	8	no	—
1395	C₄⋊C₄	—	2	4	no	—
1396	C₄⋊C₄	—	2	4	no	—
1397	C₄⋊C₄	—	2	2	no	—
1398	C₄⋊C₄	—	2	2	no	—
1399	C₄⋊C₄	—	2	2	no	—
1400	C₄⋊C₄	—	2	4	no	—
1401	C₄⋊C₄	—	2	2	no	—
1402	C₄⋊C₄	—	2	2	no	—
1403	C₄⋊C₄	—	2	4	no	—
1404	C₄⋊C₄	—	2	4	no	—
1405	C₄⋊C₄	—	2	4	no	—
1406	C₄⋊C₄	—	2	2	no	—
1407	C₄⋊C₄	—	2	4	no	—
1408	C₄⋊C₄	—	2	4	no	—
1409	C₄⋊C₄	—	2	4	no	—
1410	C₄⋊C₄	—	2	4	no	—
1411	C₄⋊C₄	—	2	4	no	—
1412	C₄⋊C₄	—	2	4	no	—
1413	C₄⋊C₄	—	2	4	no	—
1414	C₄⋊C₄	—	4	4	no	—
1415	C₄⋊C₄	—	4	4	no	—
1416	C₄⋊C₄	—	4	4	no	—
1417	C₄⋊C₄	—	4	4	no	—
1418	C₄⋊C₄	—	4	4	no	—
1419	C₄⋊C₄	—	4	4	no	—
1420	C₄⋊C₄	—	4	4	no	—
1421	C₄⋊C₄	—	4	4	no	—
1422	C₄⋊C₄	—	4	4	no	—
1423	C₄⋊C₄	—	4	4	no	—
1424	C₄⋊C₄	—	4	4	no	—
1425	C₄⋊C₄	—	4	4	no	—
1426	C₄⋊C₄	—	4	4	no	—
1427	C₄⋊C₄	—	4	4	no	—
1428	C₄⋊C₄	—	4	4	no	—
1429	C₄⋊C₄	—	4	4	no	—
1430	C₄⋊C₄	—	4	4	no	—
1431	C₄⋊C₄	—	4	4	no	—
1432	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1433	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1434	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1435	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1436	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1437	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1438	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1439	C₂²⋊C₄	—	2	8	no	—
1440	C₂²⋊C₄	—	2	8	no	—
1441	C₂²⋊C₄	—	2	2	no	—
1442	C₂²⋊C₄	—	2	4	no	—
1443	C₂²⋊C₄	—	2	2	no	—
1444	C₂²⋊C₄	—	2	2	no	—
1445	C₂²⋊C₄	—	2	4	no	—
1446	C₂²⋊C₄	—	2	2	no	—
1447	C₂²⋊C₄	—	2	2	no	—
1448	C₂²⋊C₄	—	2	4	no	—
1449	C₂²⋊C₄	—	2	2	no	—
1450	C₂²⋊C₄	—	2	8	no	—
1451	C₂²⋊C₄	—	2	8	no	—
1452	C₂²⋊C₄	—	2	8	no	—
1453	C₂²⋊C₄	—	2	8	no	—
1454	C₂²⋊C₄	—	2	4	no	—
1455	C₂²⋊C₄	—	2	4	no	—
1456	C₂²⋊C₄	—	2	4	no	—
1457	C₂²⋊C₄	—	2	4	no	—
1458	C₂²⋊C₄	—	2	8	no	—
1459	C₂²⋊C₄	—	2	8	no	—
1460	C₂²⋊C₄	—	2	8	no	—
1461	C₂²⋊C₄	—	2	8	no	—
1462	C₂²⋊C₄	—	2	8	no	—
1463	C₂²⋊C₄	—	2	8	no	—
1464	C₂²⋊C₄	—	2	8	no	—
1465	C₂²⋊C₄	—	2	8	no	—
1466	C₂²⋊C₄	—	2	2	no	—
1467	C₂²⋊C₄	—	2	4	no	—
1468	C₂²⋊C₄	—	2	4	no	—
1469	C₂²⋊C₄	—	2	2	no	—
1470	C₂²⋊C₄	—	2	4	no	—
1471	C₂²⋊C₄	—	2	4	no	—
1472	C₂²⋊C₄	—	2	4	no	—
1473	C₂²⋊C₄	—	2	2	no	—
1474	C₂²⋊C₄	—	2	4	no	—
1475	C₂²⋊C₄	—	2	2	no	—
1476	C₂²⋊C₄	—	2	4	no	—
1477	C₂²⋊C₄	—	2	4	no	—
1478	C₂²⋊C₄	—	2	4	no	—
1479	C₂²⋊C₄	—	2	4	no	—
1480	C₂²⋊C₄	—	4	2	no	—
1481	C₂²⋊C₄	—	4	4	no	—
1482	C₂²⋊C₄	—	4	2	no	—
1483	C₂²⋊C₄	—	4	4	no	—
1484	C₂²⋊C₄	—	4	4	no	—
1485	C₂²⋊C₄	—	4	4	no	—
1486	C₂²⋊C₄	—	4	4	no	—
1487	C₂²⋊C₄	—	4	4	no	—
1488	C₂²⋊C₄	—	4	4	no	—
1489	C₂²⋊C₄	—	4	4	no	—
1490	C₂²⋊C₄	—	4	4	no	—
1491	C₂²⋊C₄	—	4	4	no	—
1492	C₂²⋊C₄	—	4	4	no	—
1493	C₂²⋊C₄	—	4	4	no	—
1494	C₂²⋊C₄	—	4	4	no	—
1495	C₂²⋊C₄	—	4	2	no	—
1496	C₂²⋊C₄	—	4	4	no	—
1497	C₂²⋊C₄	—	4	2	no	—
1498	C₂²⋊C₄	—	4	4	no	—
1499	C₂²⋊C₄	—	4	4	no	—
1500	C₂²⋊C₄	—	4	4	no	—
1501	C₂²⋊C₄	—	4	4	no	—
1502	C₂²⋊C₄	—	4	4	no	—
1503	C₂²⋊C₄	—	4	4	no	—
1504	C₂²⋊C₄	—	4	4	no	—
1505	C₂²⋊C₄	—	4	4	no	—
1506	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1507	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1508	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1509	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1510	C₄²	—	2	4	no	—
1511	C₄²	—	2	2	no	—
1512	C₄²	—	2	2	no	—
1513	C₄²	—	2	4	no	—
1514	C₄²	—	2	4	no	—
1515	C₄²	—	2	4	no	—
1516	C₄²	—	2	4	no	—
1517	C₄²	—	4	4	no	—
1518	C₄²	—	4	2	no	—
1519	C₄²	—	4	2	no	—
1520	C₄²	—	4	4	no	—
1521	C₄²	—	4	4	no	—
1522	C₄²	—	4	4	no	—
1523	C₄²	—	4	4	no	—
1524	C₂³	—	2	2	no	—
1525	C₂³	—	2	2	no	—
1526	C₂³	—	2	16	no	—
1527	C₂³	—	2	16	no	—
1528	C₂³	—	2	4	no	—
1529	C₂³	—	2	2	no	—
1530	C₂³	—	2	2	no	—
1531	C₂³	—	2	4	no	—
1532	C₂³	—	2	2	no	—
1533	C₂³	—	2	2	no	—
1534	C₂³	—	2	2	no	—
1535	C₂³	—	2	2	no	—
1536	C₂³	—	2	4	no	—
1537	C₂³	—	2	4	no	—
1538	C₂³	—	2	4	no	—
1539	C₂³	—	2	4	no	—
1540	C₂³	—	2	8	no	—
1541	C₂³	—	2	16	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	2	no	—
1545	C₂³	—	2	2	no	—
1546	C₂³	—	2	2	no	—
1547	C₂³	—	2	2	no	—
1548	C₂³	—	2	2	no	—
1549	C₂³	—	2	2	no	—
1550	C₂³	—	2	4	no	—
1551	C₂³	—	2	2	no	—
1552	C₂³	—	2	2	no	—
1553	C₂³	—	2	4	no	—
1554	C₂³	—	2	2	no	—
1555	C₂³	—	4	4	no	—
1556	C₂³	—	4	4	no	—
1557	C₂³	—	4	16	no	—
1558	C₂³	—	4	8	no	—
1559	C₂³	—	4	8	no	—
1560	C₂³	—	4	16	no	—
1561	C₂³	—	4	16	no	—
1562	C₂³	—	8	4	no	—
1563	C₂³	—	8	4	no	—
1564	C₂³	—	8	4	no	—
1565	C₂³	—	8	4	no	—
1566	C₂³	—	8	8	no	—
1567	C₂³	—	8	8	no	—
1568	C₂³	—	8	8	no	—
1569	C₂³	—	8	8	no	—
1570	C₂³	—	8	64	no	—
1571	C₂³	C₂³×D₄	1	2	yes	—
1572	C₂³	C₂³×D₄	1	2	yes	—
1573	C₂³	C₂³×D₄	1	2	yes	—
1574	C₂³	C₂×2₋¹⁺⁴	1	8	yes	—
1575	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1576	C₂³	C₂⁶	1	1	yes	characteristic
1577	Q₈	—	4	4	no	—
1578	Q₈	—	4	8	no	—
1579	Q₈	—	4	4	no	—
1580	Q₈	—	4	4	no	—
1581	Q₈	—	8	4	no	—
1582	Q₈	—	8	4	no	—
1583	Q₈	—	8	4	no	—
1584	Q₈	—	8	4	no	—
1585	Q₈	—	8	8	no	—
1586	Q₈	—	8	8	no	—
1587	Q₈	—	8	2	no	—
1588	D₄	—	4	4	no	—
1589	D₄	—	4	4	no	—
1590	D₄	—	4	4	no	—
1591	D₄	—	4	8	no	—
1592	D₄	—	8	4	no	—
1593	D₄	—	8	2	no	—
1594	D₄	—	8	4	no	—
1595	D₄	—	8	2	no	—
1596	D₄	—	8	4	no	—
1597	D₄	—	8	2	no	—
1598	D₄	—	8	8	no	—
1599	D₄	—	8	8	no	—
1600	D₄	—	8	8	no	—
1601	D₄	—	8	8	no	—
1602	D₄	—	8	2	no	—
1603	D₄	—	8	2	no	—
1604	D₄	—	8	4	no	—
1605	C₂×C₄	—	2	2	no	—
1606	C₂×C₄	—	2	2	no	—
1607	C₂×C₄	—	2	4	no	—
1608	C₂×C₄	—	2	4	no	—
1609	C₂×C₄	—	2	4	no	—
1610	C₂×C₄	—	2	4	no	—
1611	C₂×C₄	—	2	2	no	—
1612	C₂×C₄	—	2	2	no	—
1613	C₂×C₄	—	2	2	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	4	no	—
1622	C₂×C₄	—	2	4	no	—
1623	C₂×C₄	—	2	4	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	2	no	—
1627	C₂×C₄	—	2	2	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	2	4	no	—
1630	C₂×C₄	—	2	4	no	—
1631	C₂×C₄	—	2	4	no	—
1632	C₂×C₄	—	2	4	no	—
1633	C₂×C₄	—	2	4	no	—
1634	C₂×C₄	—	2	4	no	—
1635	C₂×C₄	—	2	4	no	—
1636	C₂×C₄	—	2	4	no	—
1637	C₂×C₄	—	2	4	no	—
1638	C₂×C₄	—	2	4	no	—
1639	C₂×C₄	—	2	4	no	—
1640	C₂×C₄	—	2	4	no	—
1641	C₂×C₄	—	2	4	no	—
1642	C₂×C₄	—	2	4	no	—
1643	C₂×C₄	—	2	2	no	—
1644	C₂×C₄	—	2	4	no	—
1645	C₂×C₄	—	2	2	no	—
1646	C₂×C₄	—	2	2	no	—
1647	C₂×C₄	—	2	4	no	—
1648	C₂×C₄	—	2	4	no	—
1649	C₂×C₄	—	2	4	no	—
1650	C₂×C₄	—	2	2	no	—
1651	C₂×C₄	—	2	4	no	—
1652	C₂×C₄	—	2	4	no	—
1653	C₂×C₄	—	4	4	no	—
1654	C₂×C₄	—	4	4	no	—
1655	C₂×C₄	—	4	4	no	—
1656	C₂×C₄	—	4	4	no	—
1657	C₂×C₄	—	4	8	no	—
1658	C₂×C₄	—	4	8	no	—
1659	C₂×C₄	—	4	4	no	—
1660	C₂×C₄	—	4	4	no	—
1661	C₂×C₄	—	4	4	no	—
1662	C₂×C₄	—	4	4	no	—
1663	C₂×C₄	—	4	8	no	—
1664	C₂×C₄	—	4	8	no	—
1665	C₂×C₄	—	4	8	no	—
1666	C₂×C₄	—	8	4	no	—
1667	C₂×C₄	—	8	4	no	—
1668	C₂×C₄	—	8	8	no	—
1669	C₂×C₄	—	8	8	no	—
1670	C₂×C₄	—	8	8	no	—
1671	C₂×C₄	—	8	8	no	—
1672	C₂×C₄	—	8	4	no	—
1673	C₂×C₄	—	8	4	no	—
1674	C₂×C₄	—	8	4	no	—
1675	C₂×C₄	—	8	4	no	—
1676	C₂×C₄	—	8	4	no	—
1677	C₂×C₄	C₂³×D₄	1	2	yes	—
1678	C₂×C₄	C₂³×D₄	1	2	yes	—
1679	C₂×C₄	C₂³×D₄	1	4	yes	—
1680	C₂×C₄	C₂³×D₄	1	4	yes	—
1681	C₂×C₄	C₂³×D₄	1	4	yes	—
1682	C₂×C₄	C₂³×D₄	1	4	yes	—
1683	C₂×C₄	C₂³×D₄	1	2	yes	—
1684	C₂×C₄	C₂³×D₄	1	2	yes	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	2	no	—
1687	C₂²	—	2	8	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	2	no	—
1690	C₂²	—	2	8	no	—
1691	C₂²	—	2	2	no	—
1692	C₂²	—	2	2	no	—
1693	C₂²	—	2	2	no	—
1694	C₂²	—	2	2	no	—
1695	C₂²	—	2	8	no	—
1696	C₂²	—	2	8	no	—
1697	C₂²	—	4	16	no	—
1698	C₂²	—	4	32	no	—
1699	C₂²	—	4	4	no	—
1700	C₂²	—	4	4	no	—
1701	C₂²	—	4	4	no	—
1702	C₂²	—	4	4	no	—
1703	C₂²	—	4	4	no	—
1704	C₂²	—	4	4	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	2	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	2	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	2	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	4	no	—
1715	C₂²	—	4	4	no	—
1716	C₂²	—	4	4	no	—
1717	C₂²	—	4	4	no	—
1718	C₂²	—	8	16	no	—
1719	C₂²	—	8	16	no	—
1720	C₂²	#3486	1	4	yes	—
1721	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1722	C₂²	C₂²×2₋¹⁺⁴	1	2	yes	—
1723	C₂²	H(7,𝔽₂)	1	2	yes	—
1724	C₂²	H(7,𝔽₂)	1	2	yes	—
1725	C₄	—	2	2	no	—
1726	C₄	—	2	2	no	—
1727	C₄	—	2	2	no	—
1728	C₄	—	2	2	no	—
1729	C₄	—	2	4	no	—
1730	C₄	—	2	4	no	—
1731	C₄	—	2	4	no	—
1732	C₄	—	2	4	no	—
1733	C₄	—	4	2	no	—
1734	C₄	—	4	1	no	—
1735	C₄	—	4	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	4	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	2	no	—
1740	C₄	—	4	4	no	—
1741	C₄	—	4	4	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	2	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	4	4	no	—
1746	C₄	—	4	4	no	—
1747	C₄	—	4	4	no	—
1748	C₄	—	4	4	no	—
1749	C₂	—	2	4	no	—
1750	C₂	—	4	2	no	—
1751	C₂	—	4	2	no	—
1752	C₂	—	4	8	no	—
1753	C₂	—	8	1	no	—
1754	C₂	—	8	1	no	—
1755	C₂	—	8	2	no	—
1756	C₂	C₂×#3486	1	1	yes	characteristic
1757	C₂	#62842	1	1	yes	characteristic
1758	C₂	#62852	1	1	yes	characteristic
1759	C₂	#62864	1	4	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×#3541	C₂	semidirect
2. C₂²×#543	C₂	semidirect
3. #48779	C₂	semidirect
4. #48778	C₂	semidirect
5. #47856	C₂	semidirect
6. #47855	C₂	semidirect
7. #47833	C₂	semidirect
8. #47832	C₂	semidirect
9. #46831	C₂	semidirect
10. #46816	C₂	semidirect
11. #46815	C₂	semidirect
12. #46373	C₂	semidirect
13. #46357	C₂	semidirect
14. #46356	C₂	semidirect
15. #39723	C₂	semidirect
16. #39722	C₂	semidirect
17. #39716	C₂	semidirect
18. #39716	C₂	semidirect
19. #39595	C₂	semidirect
20. #39594	C₂	semidirect
21. #39588	C₂	semidirect
22. #39588	C₂	semidirect
23. #37449	C₂	semidirect
24. #37438	C₂	semidirect
25. #36716	C₂	semidirect
26. #36705	C₂	semidirect
27. #35050	C₂	semidirect
28. #35050	C₂	semidirect
29. #34988	C₂	semidirect
30. #34988	C₂	semidirect
31. #34370	C₂	semidirect
33. C₂×#563	C₂²	semidirect
34. C₂×#562	C₂²	semidirect
35. C₂×#556	C₂²	semidirect
36. C₂×#554	C₂²	semidirect
37. C₂×#554	C₂²	semidirect
38. C₂×#553	C₂²	semidirect
39. C₂×#553	C₂²	semidirect
40. C₂×#552	C₂²	semidirect
41. C₂×D₄×Q₈	C₂²	semidirect
42. C₂×#548	C₂²	semidirect
43. C₂×#548	C₂²	semidirect
44. C₂×#547	C₂²	semidirect
52. C₂×#542	C₂²	semidirect
53. C₂×#542	C₂²	semidirect
54. C₂×#541	C₂²	semidirect
55. C₂×#539	C₂²	semidirect
58. C₂×#537	C₂²	semidirect
59. C₂×#536	C₂²	semidirect
81. #2817	C₂²	semidirect
82. #2816	C₂²	semidirect
83. #2814	C₂²	semidirect
84. #2814	C₂²	semidirect
85. #2732	C₂²	semidirect
86. #2732	C₂²	semidirect
87. #2730	C₂²	semidirect
88. #2730	C₂²	semidirect
89. #2729	C₂²	semidirect
90. #2729	C₂²	semidirect
91. #2728	C₂²	semidirect
92. #2728	C₂²	semidirect
93. #2723	C₂²	semidirect
94. #2723	C₂²	semidirect
95. #2720	C₂²	semidirect
96. #2720	C₂²	semidirect
97. #2704	C₂²	semidirect
98. #2704	C₂²	semidirect
99. #2702	C₂²	semidirect
100. #2702	C₂²	semidirect
101. #2700	C₂²	semidirect
102. #2700	C₂²	semidirect
103. #2698	C₂²	semidirect
104. #2698	C₂²	semidirect
105. #2696	C₂²	semidirect
106. #2696	C₂²	semidirect
107. #2692	C₂²	semidirect
108. #2692	C₂²	semidirect
109. #2692	C₂²	semidirect
110. #2692	C₂²	semidirect
111. #2690	C₂²	semidirect
112. #2690	C₂²	semidirect
113. #2689	C₂²	semidirect
114. #2689	C₂²	semidirect
115. #2687	C₂²	semidirect
116. #2687	C₂²	semidirect
117. #2683	C₂²	semidirect
118. #2683	C₂²	semidirect
119. #2681	C₂²	semidirect
120. #2681	C₂²	semidirect
121. #2681	C₂²	semidirect
122. #2681	C₂²	semidirect
123. #2680	C₂²	semidirect
124. #2680	C₂²	semidirect
125. #2677	C₂²	semidirect
126. #2677	C₂²	semidirect
127. #2676	C₂²	semidirect
128. #2676	C₂²	semidirect
129. #2674	C₂²	semidirect
130. #2674	C₂²	semidirect
131. #2672	C₂²	semidirect
132. #2672	C₂²	semidirect
133. #2663	C₂²	semidirect
134. #2638	C₂²	semidirect
135. #2638	C₂²	semidirect
140. #2625	C₂²	semidirect
145. #2621	C₂²	semidirect
146. #2620	C₂²	semidirect
151. #2616	C₂²	semidirect
152. #2591	C₂²	semidirect
153. #2591	C₂²	semidirect
154. #2591	C₂²	semidirect
155. #2583	C₂²	semidirect
156. #2583	C₂²	semidirect
157. #2583	C₂²	semidirect
158. #2579	C₂²	semidirect
159. #2579	C₂²	semidirect
160. #2579	C₂²	semidirect
161. #2579	C₂²	semidirect
162. #2579	C₂²	semidirect
163. #2579	C₂²	semidirect
166. #2560	C₂²	semidirect
167. #2560	C₂²	semidirect
168. #2556	C₂²	semidirect
169. #2556	C₂²	semidirect
170. #2542	C₂²	semidirect
171. #2540	C₂²	semidirect
174. #2538	C₂²	semidirect
175. #2536	C₂²	semidirect
179. #2504	C₂²	semidirect
180. #2504	C₂²	semidirect
181. #2502	C₂²	semidirect
182. #2502	C₂²	semidirect
183. #2499	C₂²	semidirect
184. #2492	C₂²	semidirect
185. #2489	C₂²	semidirect
186. #2487	C₂²	semidirect
187. #2487	C₂²	semidirect
188. #2487	C₂²	semidirect
195. #2477	C₂²	semidirect
196. #2477	C₂²	semidirect
201. #2465	C₂²	semidirect
202. #2465	C₂²	semidirect
203. #2463	C₂²	semidirect
204. #2463	C₂²	semidirect
205. #2461	C₂²	semidirect
206. #2461	C₂²	semidirect
207. #2452	C₂²	semidirect
208. #2452	C₂²	semidirect
209. #2449	C₂²	semidirect
210. #2449	C₂²	semidirect
211. #2436	C₂²	semidirect
212. #2436	C₂²	semidirect
213. #2434	C₂²	semidirect
214. #2434	C₂²	semidirect
215. #2432	C₂²	semidirect
216. #2429	C₂²	semidirect
217. #2429	C₂²	semidirect
218. #2427	C₂²	semidirect
219. #2426	C₂²	semidirect
224. #2423	C₂²	semidirect
225. #2421	C₂²	semidirect
230. #2417	C₂²	semidirect
231. #2415	C₂²	semidirect
232. #2415	C₂²	semidirect
236. #2409	C₂²	semidirect
237. #2409	C₂²	semidirect
238. #2409	C₂²	semidirect
239. #2409	C₂²	semidirect
240. #2407	C₂²	semidirect
243. #2378	C₂²	semidirect
244. #2378	C₂²	semidirect
245. #2362	C₂²	semidirect
246. #2345	C₂²	semidirect
247. #2345	C₂²	semidirect
248. #2345	C₂²	semidirect
249. Q₈×C₂²⋊C₄	C₂²	semidirect
250. #2332	C₂²	semidirect
251. #2332	C₂²	semidirect
252. #2323	C₂²	semidirect
272. C₂²×#41	C₂³	semidirect
276. C₂³×Q₈	C₂³	semidirect
307. C₂×C₄⋊Q₈	C₂³	semidirect
308. C₂×C₄⋊Q₈	C₂³	semidirect
309. C₂×C₄⋊Q₈	C₂³	semidirect
310. C₂×C₄⋊Q₈	C₂³	semidirect
311. C₂×C₄⋊Q₈	C₂³	semidirect
312. C₂×C₄⋊Q₈	C₂³	semidirect
317. C₂×#126	C₂³	semidirect
318. C₂×#126	C₂³	semidirect
319. C₂×#126	C₂³	semidirect
320. C₂×#125	C₂³	semidirect
321. C₂×#125	C₂³	semidirect
322. C₂×#125	C₂³	semidirect
323. C₂×#125	C₂³	semidirect
324. C₂×#125	C₂³	semidirect
329. C₂×#124	C₂³	semidirect
330. C₂×#124	C₂³	semidirect
331. C₂×#124	C₂³	semidirect
332. C₂×#124	C₂³	semidirect
345. C₂×#123	C₂³	semidirect
346. C₂×#123	C₂³	semidirect
347. C₂×#123	C₂³	semidirect
354. C₂×C₂²⋊Q₈	D₄	semidirect
393. C₂×C₂²⋊Q₈	C₂³	semidirect
394. C₂×C₂²⋊Q₈	C₂³	semidirect
395. C₂×C₂²⋊Q₈	C₂³	semidirect
396. C₂×C₂²⋊Q₈	C₂³	semidirect
397. C₂×C₂²⋊Q₈	C₂³	semidirect
398. C₂×C₂²⋊Q₈	C₂³	semidirect
399. C₂×C₂²⋊Q₈	C₂³	semidirect
400. C₂×C₂²⋊Q₈	C₂³	semidirect
401. C₂×C₂²⋊Q₈	C₂³	semidirect
402. C₂×C₂²⋊Q₈	C₂³	semidirect
403. C₂×C₂²⋊Q₈	C₂³	semidirect
404. C₂×C₂²⋊Q₈	C₂³	semidirect
417. C₂×#121	C₂³	semidirect
418. C₂×#121	C₂³	semidirect
432. C₂×C₄×Q₈	C₂³	semidirect
433. C₂×C₄×Q₈	C₂³	semidirect
434. C₂×C₄×Q₈	C₂³	semidirect
435. C₂×C₄×Q₈	C₂³	semidirect
436. C₂×C₄×Q₈	C₂³	semidirect
451. C₂×C₄×D₄	C₂³	semidirect
452. C₂×C₄×D₄	C₂³	semidirect
457. C₂×#117	C₂³	semidirect
458. C₂×#117	C₂³	semidirect
466. C₂²×C₄⋊C₄	C₂³	semidirect
467. C₂²×C₄⋊C₄	C₂³	semidirect
484. #400	C₂³	semidirect
485. #400	C₂³	semidirect
486. #400	C₂³	semidirect
487. #400	C₂³	semidirect
488. #400	C₂³	semidirect
489. #400	C₂³	semidirect
494. #399	C₂³	semidirect
495. #399	C₂³	semidirect
496. #399	C₂³	semidirect
497. #398	C₂³	semidirect
498. #398	C₂³	semidirect
499. #398	C₂³	semidirect
500. #398	C₂³	semidirect
501. #398	C₂³	semidirect
502. #398	C₂³	semidirect
503. #398	C₂³	semidirect
504. #398	C₂³	semidirect
505. #398	C₂³	semidirect
506. #398	C₂³	semidirect
507. #398	C₂³	semidirect
508. #398	C₂³	semidirect
509. #398	C₂³	semidirect
522. #397	C₂³	semidirect
523. #397	C₂³	semidirect
524. #397	C₂³	semidirect
525. #397	C₂³	semidirect
534. #396	C₂³	semidirect
535. #396	C₂³	semidirect
536. #396	C₂³	semidirect
537. #396	C₂³	semidirect
538. #396	C₂³	semidirect
539. #396	C₂³	semidirect
540. #395	C₂³	semidirect
541. #395	C₂³	semidirect
542. #395	C₂³	semidirect
543. #395	C₂³	semidirect
544. #395	C₂³	semidirect
545. #395	C₂³	semidirect
546. #395	C₂³	semidirect
547. #395	C₂³	semidirect
548. #395	C₂³	semidirect
549. #395	C₂³	semidirect
566. #394	C₂³	semidirect
567. #394	C₂³	semidirect
568. #394	C₂³	semidirect
573. #393	C₂³	semidirect
574. #393	C₂³	semidirect
575. #393	C₂³	semidirect
576. #393	C₂³	semidirect
577. #393	C₂³	semidirect
578. #393	C₂³	semidirect
579. #393	C₂³	semidirect
584. #391	C₂³	semidirect
585. #391	C₂³	semidirect
586. #391	C₂³	semidirect
587. #391	C₂³	semidirect
588. #391	C₂³	semidirect
589. #391	C₂³	semidirect
590. #391	C₂³	semidirect
591. #391	C₂³	semidirect
592. #391	C₂³	semidirect
593. #391	C₂³	semidirect
594. #391	C₂³	semidirect
595. #391	C₂³	semidirect
604. #390	C₂³	semidirect
605. #390	C₂³	semidirect
606. #389	C₂³	semidirect
607. #389	C₂³	semidirect
608. #389	C₂³	semidirect
609. #389	C₂³	semidirect
610. #389	C₂³	semidirect
611. #389	C₂³	semidirect
612. #389	C₂³	semidirect
613. #389	C₂³	semidirect
614. #389	C₂³	semidirect
615. #389	C₂³	semidirect
616. #389	C₂³	semidirect
617. #389	C₂³	semidirect
642. #388	C₂³	semidirect
643. #388	C₂³	semidirect
644. #388	C₂³	semidirect
645. #388	C₂³	semidirect
646. #388	C₂³	semidirect
647. #388	C₂³	semidirect
648. #387	C₂³	semidirect
649. #387	C₂³	semidirect
650. #387	C₂³	semidirect
651. #387	C₂³	semidirect
652. #387	C₂³	semidirect
653. #387	C₂³	semidirect
654. #387	C₂³	semidirect
655. #387	C₂³	semidirect
656. #387	C₂³	semidirect
657. #387	C₂³	semidirect
658. #387	C₂³	semidirect
659. #387	C₂³	semidirect
714. #385	C₂³	semidirect
715. #385	C₂³	semidirect
716. #385	C₂³	semidirect
717. #385	C₂³	semidirect
718. #385	C₂³	semidirect
719. #385	C₂³	semidirect
720. #384	C₂³	semidirect
721. #384	C₂³	semidirect
722. #382	C₂³	semidirect
723. #382	C₂³	semidirect
741. #380	C₂³	semidirect
742. #380	C₂³	semidirect
743. #380	C₂³	semidirect
757. C₄×C₄⋊C₄	C₂³	semidirect
758. C₄×C₄⋊C₄	C₂³	semidirect
759. C₄×C₄⋊C₄	C₂³	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3541	2
C₂²×#543	2
#48779	2
#48778	2
#47856	2
#47855	2
#47833	2
#47832	2
#46831	2
#46816	2
#46815	2
#46373	2
#46357	2
#46356	2
#39723	2
#39722	2
#39716	2
#39595	2
#39594	2
#39588	2
#37449	2
#37438	2
#36716	2
#36705	2
#35050	2
#34988	2
#34370	2