Subgroups — #72307068

Order 1024.

At least 7210 conjugacy classes of subgroups; only the 3985 normal subgroups are shown.

The subgroup lattice has 1487 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10585995	C₂	1	1	yes	maximal, characteristic, complemented
2	#10575875	C₂	1	1	yes	maximal, characteristic, complemented
3	#10575815	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#60546	C₂	1	1	yes	maximal, characteristic, complemented
5	#6349544	C₂	1	4	yes	maximal, complemented
6	#6349531	C₂	1	4	yes	maximal, complemented
7	#6349478	C₂	1	2	yes	maximal, complemented
8	#6349477	C₂	1	2	yes	maximal, complemented
9	#6349465	C₂	1	2	yes	maximal, complemented
10	#6349464	C₂	1	2	yes	maximal, complemented
11	#6349275	C₂	1	2	yes	maximal, complemented
12	#6349274	C₂	1	2	yes	maximal, complemented
13	#6349262	C₂	1	2	yes	maximal, complemented
14	#6349261	C₂	1	2	yes	maximal, complemented
15	#6349204	C₂	1	4	yes	maximal, complemented
16	#6349203	C₂	1	4	yes	maximal, complemented
17	#6349080	C₂	1	1	yes	maximal, characteristic, complemented
18	#6349079	C₂	1	1	yes	maximal, characteristic, complemented
19	#6349078	C₂	1	1	yes	maximal, characteristic, complemented
20	#6349077	C₂	1	1	yes	maximal, characteristic, complemented
21	#6349076	C₂	1	1	yes	maximal, characteristic, complemented
22	#6349075	C₂	1	1	yes	maximal, characteristic, complemented
23	#6349074	C₂	1	1	yes	maximal, characteristic, complemented
24	#6349073	C₂	1	1	yes	maximal, characteristic, complemented
25	#6349015	C₂	1	8	yes	maximal, complemented
26	#6348432	C₂	1	8	yes	maximal, complemented
27	#6344050	C₂	1	1	yes	maximal, characteristic, complemented
28	#6343023	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#17450	C₂	1	1	yes	maximal, characteristic, complemented
30	#62816	C₂²	1	4	yes	complemented
31	#62815	C₂²	1	1	yes	characteristic
32	#62815	C₂²	1	1	yes	characteristic
33	#62813	C₂²	1	1	yes	characteristic
34	#62812	C₂²	1	1	yes	characteristic
35	#62805	C₂²	1	2	yes	complemented
36	#62805	C₂²	1	2	yes	complemented
37	#62800	C₂²	1	2	yes	complemented
38	#62800	C₂²	1	2	yes	complemented
39	#62793	C₂²	1	2	yes	—
40	#62788	C₂²	1	2	yes	—
41	#62781	C₂²	1	2	yes	—
42	#62773	C₂²	1	2	yes	—
43	#41²	C₂²	1	4	yes	complemented
44	C₂×#3444	C₂²	1	1	yes	characteristic
45	C₂×#3444	C₂²	1	1	yes	characteristic
46	C₂×#3444	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₄×#41	C₂²	1	1	yes	characteristic
48	#60972	C₂²	1	4	yes	complemented
49	#60971	C₂²	1	1	yes	characteristic, complemented
50	#60969	C₂²	1	1	yes	characteristic, complemented
51	#60969	C₂²	1	1	yes	characteristic, complemented
52	#60968	C₂²	1	1	yes	characteristic, complemented
53	#60966	C₂²	1	2	yes	complemented
54	#60966	C₂²	1	2	yes	complemented
55	#60966	C₂²	1	2	yes	complemented
56	#60965	C₂²	1	2	yes	complemented
57	#60965	C₂²	1	2	yes	complemented
58	#60965	C₂²	1	2	yes	complemented
59	#60961	C₂²	1	4	yes	complemented
60	#60953	C₂²	1	4	yes	complemented
61	#60947	C₂²	1	2	yes	complemented
62	#60946	C₂²	1	2	yes	complemented
63	#60917	C₂²	1	4	yes	complemented
64	#60865	C₂²	1	1	yes	characteristic, complemented
65	#60864	C₂²	1	1	yes	characteristic, complemented
66	#60846	C₂²	1	2	yes	complemented
67	#60846	C₂²	1	2	yes	complemented
68	#60804	C₂²	1	1	yes	characteristic, complemented
69	#60803	C₂²	1	1	yes	characteristic, complemented
70	#60782	C₂²	1	2	yes	complemented
71	#60782	C₂²	1	2	yes	complemented
72	#60693	C₂²	1	4	yes	complemented
73	#60559	C₂²	1	4	yes	complemented
74	#60546	C₂²	1	4	yes	complemented
75	#60546	C₂²	1	4	yes	complemented
76	#60546	C₂²	1	4	yes	complemented
77	#60546	C₂²	1	4	yes	complemented
78	C₂×#3113	C₂²	1	1	yes	characteristic, complemented
79	C₂×#3112	C₂²	1	1	yes	characteristic, complemented
80	C₂×#3110	C₂²	1	1	yes	characteristic, complemented
81	C₂×#3109	C₂²	1	1	yes	characteristic, complemented
82	C₂×#3116	C₂²	1	1	yes	characteristic
83	C₂×#3116	C₂²	1	1	yes	characteristic, complemented
84	C₂×#3115	C₂²	1	1	yes	characteristic
85	C₂×#3115	C₂²	1	1	yes	characteristic, complemented
86	C₂×#3076	C₂²	1	1	yes	characteristic, complemented
87	C₂×#3076	C₂²	1	1	yes	characteristic, complemented
88	C₂×#3035	C₂²	1	1	yes	characteristic, complemented
89	C₂×#3035	C₂²	1	1	yes	characteristic, complemented
90	C₂×#2920	C₂²	1	1	yes	characteristic, complemented
91	C₂×#2920	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#432	C₂²	1	1	yes	characteristic, complemented
93	#18929	C₂²	1	2	yes	complemented
94	#18928	C₂²	1	2	yes	complemented
95	#18927	C₂²	1	2	yes	complemented
96	#18926	C₂²	1	2	yes	complemented
97	#18925	C₂²	1	2	yes	complemented
98	#18924	C₂²	1	2	yes	complemented
99	#18923	C₂²	1	2	yes	complemented
100	#18922	C₂²	1	2	yes	complemented
101	#18919	C₂²	1	2	yes	complemented
102	#18918	C₂²	1	2	yes	complemented
103	#18917	C₂²	1	2	yes	complemented
104	#18916	C₂²	1	2	yes	complemented
105	#18915	C₂²	1	2	yes	complemented
106	#18914	C₂²	1	2	yes	complemented
107	#18913	C₂²	1	2	yes	complemented
108	#18912	C₂²	1	2	yes	complemented
109	#18909	C₂²	1	2	yes	complemented
110	#18908	C₂²	1	2	yes	complemented
111	#18907	C₂²	1	2	yes	complemented
112	#18906	C₂²	1	2	yes	complemented
113	#18905	C₂²	1	2	yes	complemented
114	#18904	C₂²	1	2	yes	complemented
115	#18903	C₂²	1	2	yes	complemented
116	#18902	C₂²	1	2	yes	complemented
117	#18899	C₂²	1	2	yes	complemented
118	#18898	C₂²	1	2	yes	complemented
119	#18897	C₂²	1	2	yes	complemented
120	#18896	C₂²	1	2	yes	complemented
121	#18895	C₂²	1	2	yes	complemented
122	#18894	C₂²	1	2	yes	complemented
123	#18893	C₂²	1	2	yes	complemented
124	#18892	C₂²	1	2	yes	complemented
125	#18833	C₂²	1	4	yes	complemented
126	#18832	C₂²	1	4	yes	complemented
127	#18831	C₂²	1	4	yes	complemented
128	#18830	C₂²	1	4	yes	complemented
129	#18829	C₂²	1	4	yes	complemented
130	#18828	C₂²	1	4	yes	complemented
131	#18827	C₂²	1	4	yes	complemented
132	#18826	C₂²	1	4	yes	complemented
133	#18821	C₂²	1	4	yes	complemented
134	#18820	C₂²	1	4	yes	complemented
135	#18819	C₂²	1	4	yes	complemented
136	#18818	C₂²	1	4	yes	complemented
137	#18817	C₂²	1	4	yes	complemented
138	#18816	C₂²	1	4	yes	complemented
139	#18815	C₂²	1	4	yes	complemented
140	#18814	C₂²	1	4	yes	complemented
141	#18809	C₂²	1	8	yes	complemented
142	#18808	C₂²	1	8	yes	complemented
143	#18807	C₂²	1	8	yes	complemented
144	#18806	C₂²	1	8	yes	complemented
145	#18797	C₂²	1	8	yes	complemented
146	#18796	C₂²	1	8	yes	complemented
147	#18795	C₂²	1	8	yes	complemented
148	#18794	C₂²	1	8	yes	complemented
149	#18785	C₂²	1	8	yes	complemented
150	#18784	C₂²	1	8	yes	complemented
151	#18775	C₂²	1	8	yes	complemented
152	#18774	C₂²	1	8	yes	complemented
153	#18765	C₂²	1	8	yes	complemented
154	#18764	C₂²	1	8	yes	complemented
155	#18755	C₂²	1	8	yes	complemented
156	#18754	C₂²	1	8	yes	complemented
157	#18649	C₂²	1	8	yes	complemented
158	#18648	C₂²	1	8	yes	complemented
159	#18639	C₂²	1	8	yes	complemented
160	#18638	C₂²	1	8	yes	complemented
161	#18629	C₂²	1	8	yes	complemented
162	#18628	C₂²	1	8	yes	complemented
163	#18619	C₂²	1	8	yes	complemented
164	#18618	C₂²	1	8	yes	complemented
165	#18609	C₂²	1	8	yes	complemented
166	#18608	C₂²	1	8	yes	complemented
167	#18607	C₂²	1	8	yes	complemented
168	#18606	C₂²	1	8	yes	complemented
169	#18597	C₂²	1	8	yes	complemented
170	#18596	C₂²	1	8	yes	complemented
171	#18595	C₂²	1	8	yes	complemented
172	#18594	C₂²	1	8	yes	complemented
173	#18561	C₂²	1	8	yes	complemented
174	#18560	C₂²	1	8	yes	complemented
175	#18559	C₂²	1	8	yes	complemented
176	#18558	C₂²	1	8	yes	complemented
177	#18557	C₂²	1	8	yes	complemented
178	#18556	C₂²	1	8	yes	complemented
179	#18555	C₂²	1	8	yes	complemented
180	#18554	C₂²	1	8	yes	complemented
181	#17756	C₂²	1	4	yes	complemented
182	#17755	C₂²	1	2	yes	complemented
183	#17754	C₂²	1	2	yes	complemented
184	#17753	C₂²	1	4	yes	complemented
185	#17748	C₂²	1	2	yes	complemented
186	#17744	C₂²	1	2	yes	complemented
187	#17734	C₂²	1	1	yes	characteristic, complemented
188	#17734	C₂²	1	1	yes	characteristic, complemented
189	#17731	C₂²	1	1	yes	characteristic, complemented
190	#17731	C₂²	1	1	yes	characteristic, complemented
191	#17719	C₂²	1	2	yes	complemented
192	#17719	C₂²	1	2	yes	complemented
193	#17713	C₂²	1	2	yes	complemented
194	#17713	C₂²	1	2	yes	complemented
195	#17502	C₂²	1	4	yes	complemented
196	#17496	C₂²	1	1	yes	characteristic, complemented
197	#17496	C₂²	1	1	yes	characteristic, complemented
198	#17495	C₂²	1	1	yes	characteristic, complemented
199	#17495	C₂²	1	1	yes	characteristic, complemented
200	#17494	C₂²	1	4	yes	complemented
201	#17488	C₂²	1	2	yes	complemented
202	#17488	C₂²	1	2	yes	complemented
203	#17482	C₂²	1	4	yes	complemented
204	#17466	C₂²	1	2	yes	complemented
205	#17466	C₂²	1	2	yes	complemented
206	#17452	C₂²	1	4	yes	complemented
207	#17450	C₂²	1	1	yes	characteristic
208	#17450	C₂²	1	1	yes	characteristic
209	#17450	C₂²	1	1	yes	characteristic, complemented
210	#17450	C₂²	1	1	yes	characteristic, complemented
211	#17450	C₂²	1	4	yes	complemented
212	#17450	C₂²	1	2	yes	complemented
213	#17450	C₂²	1	4	yes	complemented
214	#17450	C₂²	1	2	yes	complemented
215	C₂×#1489	C₂²	1	4	yes	complemented
216	C₂×#1488	C₂²	1	4	yes	complemented
217	C₂×#1479	C₂²	1	2	yes	complemented
218	C₂×#1478	C₂²	1	2	yes	complemented
219	C₂³×#41	D₄	1	1	yes	characteristic
220	#3523	C₂³	1	4	yes	—
221	#3522	C₂³	1	4	yes	—
222	#3520	C₂³	1	4	yes	—
223	#3519	C₂³	1	4	yes	—
224	#3518	C₂³	1	4	yes	—
225	#3517	C₂³	1	4	yes	—
226	#3515	C₂³	1	4	yes	—
227	#3514	C₂³	1	4	yes	—
228	#3511	C₂³	1	2	yes	—
229	#3511	C₂³	1	2	yes	—
230	#3509	C₂³	1	2	yes	—
231	#3508	C₂³	1	2	yes	—
232	#3507	C₂³	1	2	yes	—
233	#3507	C₂³	1	2	yes	—
234	#3506	C₂³	1	2	yes	—
235	#3506	C₂³	1	2	yes	—
236	#3503	C₂³	1	2	yes	—
237	#3503	C₂³	1	2	yes	—
238	#3502	C₂³	1	2	yes	—
239	#3501	C₂³	1	2	yes	—
240	#3499	C₂³	1	2	yes	—
241	#3498	C₂³	1	2	yes	—
242	#3497	C₂³	1	2	yes	—
243	#3496	C₂³	1	2	yes	—
244	#3483	C₂³	1	4	yes	—
245	#3482	C₂³	1	4	yes	—
246	#3482	C₂³	1	4	yes	—
247	#3481	C₂³	1	4	yes	—
248	#3480	C₂³	1	4	yes	—
249	#3480	C₂³	1	4	yes	—
250	Q₈×#41	C₂³	1	4	yes	—
251	Q₈×#41	C₂³	1	4	yes	—
252	#3475	C₂³	1	4	yes	—
253	#3475	C₂³	1	4	yes	—
254	D₄×#41	C₂³	1	4	yes	—
255	D₄×#41	C₂³	1	4	yes	—
256	#3444	D₄	1	2	yes	—
257	#3444	D₄	1	2	yes	—
258	#3444	D₄	1	2	yes	—
259	#3444	D₄	1	2	yes	—
260	#3444	D₄	1	2	yes	—
261	#3444	D₄	1	2	yes	—
262	#3444	D₄	1	2	yes	—
263	#3444	D₄	1	2	yes	—
264	#3444	C₂³	1	2	yes	—
265	#3444	C₂³	1	2	yes	—
266	#3444	C₂³	1	2	yes	—
267	#3444	C₂³	1	2	yes	—
268	#3444	C₂³	1	2	yes	—
269	#3444	C₂³	1	2	yes	—
270	#3444	C₂³	1	2	yes	—
271	#3444	C₂³	1	2	yes	—
272	#3444	C₂³	1	2	yes	—
273	#3444	C₂³	1	2	yes	—
274	#3444	C₂³	1	2	yes	—
275	#3444	C₂³	1	2	yes	—
276	C₂×#533	D₄	1	1	yes	characteristic
277	C₂×#533	D₄	1	1	yes	characteristic
278	C₂×#533	C₂³	1	1	yes	characteristic
279	C₂×#533	C₂³	1	1	yes	characteristic
280	C₂×#533	C₂³	1	1	yes	characteristic
281	C₂×#533	C₂³	1	1	yes	characteristic
282	C₂×#533	C₂³	1	1	yes	characteristic
283	C₂×#533	C₂³	1	1	yes	characteristic
284	C₂×#533	C₂³	1	1	yes	characteristic
285	C₂×#532	D₄	1	1	yes	characteristic
286	C₂×#532	D₄	1	1	yes	characteristic
287	C₂×#532	C₂³	1	1	yes	characteristic
288	C₂×#532	C₂³	1	1	yes	characteristic
289	C₂×#532	C₂³	1	1	yes	characteristic
290	C₂×#532	C₂³	1	1	yes	characteristic
291	C₂×#532	C₂³	1	1	yes	characteristic
292	C₂×#532	C₂³	1	1	yes	characteristic
293	C₂×#532	C₂³	1	1	yes	characteristic
294	C₂×#529	D₄	1	2	yes	—
295	C₂×#529	D₄	1	2	yes	—
296	C₂×#529	D₄	1	2	yes	—
297	C₂×#529	C₂³	1	2	yes	—
298	C₂×#525	D₄	1	2	yes	—
299	C₂×#525	D₄	1	2	yes	—
300	C₂×C₄×#41	D₄	1	1	yes	characteristic
301	C₂×C₄×#41	D₄	1	1	yes	characteristic
302	C₂×C₄×#41	D₄	1	2	yes	—
303	C₂×C₄×#41	D₄	1	2	yes	—
304	C₂×C₄×#41	D₄	1	2	yes	—
305	C₂×C₄×#41	D₄	1	1	yes	characteristic
306	C₂×C₄×#41	D₄	1	1	yes	characteristic
307	C₂×C₄×#41	D₄	1	2	yes	—
308	C₂×C₄×#41	D₄	1	2	yes	—
309	C₂×C₄×#41	C₂³	1	2	yes	—
310	C₂×C₄×#41	C₂³	1	2	yes	—
311	C₂×C₄×#41	C₂³	1	1	yes	characteristic
312	C₂×C₄×#41	C₂³	1	1	yes	characteristic
313	C₂×C₄×#41	C₂³	1	1	yes	characteristic
314	C₂×C₄×#41	C₂³	1	2	yes	—
315	C₂×C₄×#41	C₂³	1	1	yes	characteristic
316	C₂×C₄×#41	C₂³	1	2	yes	—
317	C₂×C₄×#41	C₂³	1	2	yes	—
318	C₂²×C₄×Q₈	D₄	1	1	yes	characteristic
319	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
320	C₂²×C₄×D₄	D₄	1	1	yes	characteristic
321	C₂²×C₄×D₄	C₂³	1	1	yes	characteristic
322	C₂²×#117	D₄	1	1	yes	characteristic
323	C₂³×C₄²	C₂³	1	1	yes	characteristic
324	#3252	C₂³	1	8	yes	complemented
325	#3251	C₂³	1	8	yes	complemented
326	#3248	C₂³	1	8	yes	—
327	#3247	C₂³	1	8	yes	—
328	#3237	C₂³	1	4	yes	complemented
329	#3235	C₂³	1	4	yes	complemented
330	#3231	C₂³	1	4	yes	—
331	#3231	C₂³	1	4	yes	complemented
332	#3230	C₂³	1	2	yes	—
333	#3230	C₂³	1	2	yes	—
334	#3230	C₂³	1	2	yes	complemented
335	#3229	C₂³	1	2	yes	—
336	#3229	C₂³	1	2	yes	—
337	#3229	C₂³	1	2	yes	complemented
338	#3228	C₂³	1	4	yes	—
339	#3228	C₂³	1	4	yes	complemented
340	#3227	C₂³	1	2	yes	—
341	#3227	C₂³	1	2	yes	—
342	#3227	C₂³	1	2	yes	complemented
343	#3226	C₂³	1	2	yes	—
344	#3226	C₂³	1	2	yes	—
345	#3226	C₂³	1	2	yes	complemented
346	#3216	C₂³	1	4	yes	complemented
347	#3214	C₂³	1	4	yes	complemented
348	#3210	C₂³	1	4	yes	—
349	#3210	C₂³	1	4	yes	complemented
350	#3209	C₂³	1	2	yes	—
351	#3209	C₂³	1	2	yes	—
352	#3209	C₂³	1	2	yes	complemented
353	#3208	C₂³	1	2	yes	—
354	#3208	C₂³	1	2	yes	—
355	#3208	C₂³	1	2	yes	complemented
356	#3207	C₂³	1	4	yes	—
357	#3207	C₂³	1	4	yes	complemented
358	#3206	C₂³	1	2	yes	—
359	#3206	C₂³	1	2	yes	—
360	#3206	C₂³	1	2	yes	complemented
361	#3205	C₂³	1	2	yes	—
362	#3205	C₂³	1	2	yes	—
363	#3205	C₂³	1	2	yes	complemented
364	#3185	C₂³	1	4	yes	complemented
365	#3185	C₂³	1	4	yes	complemented
366	#3184	C₂³	1	4	yes	complemented
367	#3184	C₂³	1	4	yes	complemented
368	#3182	C₂³	1	4	yes	complemented
369	#3182	C₂³	1	4	yes	complemented
370	#3182	C₂³	1	4	yes	complemented
371	#3182	C₂³	1	4	yes	complemented
372	#3160	C₂³	1	4	yes	—
373	#3147	C₂³	1	4	yes	—
374	#3131	C₂³	1	4	yes	—
375	#3131	C₂³	1	4	yes	—
376	#3116	C₂³	1	4	yes	—
377	#3116	C₂³	1	4	yes	—
378	#3116	C₂³	1	4	yes	—
379	#3116	C₂³	1	4	yes	—
380	#3116	C₂³	1	8	yes	complemented
381	#3115	C₂³	1	4	yes	—
382	#3115	C₂³	1	4	yes	—
383	#3115	C₂³	1	4	yes	—
384	#3115	C₂³	1	4	yes	—
385	#3115	C₂³	1	8	yes	complemented
386	#3113	C₂³	1	4	yes	—
387	#3113	C₂³	1	4	yes	—
388	#3112	C₂³	1	4	yes	—
389	#3112	C₂³	1	4	yes	—
390	#3110	C₂³	1	4	yes	—
391	#3110	C₂³	1	4	yes	—
392	#3109	C₂³	1	4	yes	—
393	#3109	C₂³	1	4	yes	—
394	#3107	C₂³	1	8	yes	—
395	#3106	C₂³	1	8	yes	—
396	#3078	C₂³	1	4	yes	complemented
397	#3077	C₂³	1	4	yes	complemented
398	#3076	C₂³	1	4	yes	—
399	#3076	C₂³	1	4	yes	—
400	#3076	C₂³	1	4	yes	—
401	#3076	C₂³	1	4	yes	—
402	C₂×#477	C₂³	1	1	yes	characteristic
403	C₂×#477	C₂³	1	1	yes	characteristic
404	C₂×#475	C₂³	1	1	yes	characteristic
405	C₂×#475	C₂³	1	1	yes	characteristic
406	C₂×#476	C₂³	1	1	yes	characteristic
407	C₂×#476	C₂³	1	1	yes	characteristic
408	C₂×#474	C₂³	1	1	yes	characteristic
409	C₂×#474	C₂³	1	1	yes	characteristic
410	#3037	C₂³	1	4	yes	complemented
411	#3036	C₂³	1	4	yes	complemented
412	#3035	C₂³	1	4	yes	—
413	#3035	C₂³	1	4	yes	—
414	#3035	C₂³	1	4	yes	—
415	#3035	C₂³	1	4	yes	—
416	C₂×#462	C₂³	1	1	yes	characteristic
417	C₂×#462	C₂³	1	1	yes	characteristic
418	C₂×#460	C₂³	1	1	yes	characteristic
419	C₂×#460	C₂³	1	1	yes	characteristic
420	C₂×#461	C₂³	1	1	yes	characteristic
421	C₂×#461	C₂³	1	1	yes	characteristic
422	C₂×#459	C₂³	1	1	yes	characteristic
423	C₂×#459	C₂³	1	1	yes	characteristic
424	#2920	C₂³	1	2	yes	—
425	#2920	C₂³	1	2	yes	—
426	#2920	C₂³	1	1	yes	characteristic
427	#2920	C₂³	1	1	yes	characteristic
428	#2920	C₂³	1	2	yes	—
429	#2920	C₂³	1	2	yes	—
430	#2920	C₂³	1	2	yes	—
431	#2920	C₂³	1	1	yes	characteristic
432	#2920	C₂³	1	1	yes	characteristic
433	#2920	C₂³	1	2	yes	—
434	C₂×#432	C₂³	1	2	yes	—
435	C₂×#432	C₂³	1	2	yes	—
436	C₂×#432	C₂³	1	1	yes	characteristic
437	C₂×#432	C₂³	1	1	yes	characteristic
438	C₂×#432	C₂³	1	1	yes	characteristic
439	C₂×#432	C₂³	1	1	yes	characteristic
440	C₂×#432	C₂³	1	2	yes	—
441	C₂×#432	C₂³	1	2	yes	—
442	C₂×#432	C₂³	1	2	yes	—
443	C₂×#431	C₂³	1	2	yes	—
444	C₂×#431	C₂³	1	2	yes	—
445	C₂×#431	C₂³	1	2	yes	—
446	C₂×#423	C₂³	1	2	yes	—
447	C₂²×C₄⋊C₈	C₂³	1	1	yes	characteristic
448	C₂²×C₄⋊C₈	C₂³	1	1	yes	characteristic
449	C₂×C₄×M₁₆	C₂³	1	2	yes	—
450	#1654	C₂³	1	8	yes	complemented
451	#1654	C₂³	1	8	yes	complemented
452	#1653	C₂³	1	8	yes	complemented
453	#1653	C₂³	1	8	yes	complemented
454	#1652	C₂³	1	8	yes	complemented
455	#1652	C₂³	1	8	yes	complemented
456	#1651	C₂³	1	8	yes	complemented
457	#1651	C₂³	1	8	yes	complemented
458	#1650	C₂³	1	8	yes	complemented
459	#1650	C₂³	1	8	yes	complemented
460	#1649	C₂³	1	8	yes	complemented
461	#1649	C₂³	1	8	yes	complemented
462	#1648	C₂³	1	8	yes	complemented
463	#1648	C₂³	1	8	yes	complemented
464	#1647	C₂³	1	8	yes	complemented
465	#1647	C₂³	1	8	yes	complemented
466	#1646	C₂³	1	8	yes	complemented
467	#1646	C₂³	1	8	yes	complemented
468	#1645	C₂³	1	8	yes	complemented
469	#1645	C₂³	1	8	yes	complemented
470	#1644	C₂³	1	8	yes	complemented
471	#1644	C₂³	1	8	yes	complemented
472	#1643	C₂³	1	8	yes	complemented
473	#1643	C₂³	1	8	yes	complemented
474	#1642	C₂³	1	8	yes	complemented
475	#1642	C₂³	1	8	yes	complemented
476	#1641	C₂³	1	8	yes	complemented
477	#1641	C₂³	1	8	yes	complemented
478	#1640	C₂³	1	8	yes	complemented
479	#1640	C₂³	1	8	yes	complemented
480	#1639	C₂³	1	8	yes	complemented
481	#1639	C₂³	1	8	yes	complemented
482	#1638	C₂³	1	8	yes	complemented
483	#1638	C₂³	1	8	yes	complemented
484	#1637	C₂³	1	8	yes	complemented
485	#1637	C₂³	1	8	yes	complemented
486	#1636	C₂³	1	8	yes	complemented
487	#1636	C₂³	1	8	yes	complemented
488	#1635	C₂³	1	8	yes	complemented
489	#1635	C₂³	1	8	yes	complemented
490	#1634	C₂³	1	8	yes	complemented
491	#1633	C₂³	1	8	yes	complemented
492	#1632	C₂³	1	8	yes	complemented
493	#1632	C₂³	1	8	yes	complemented
494	#1631	C₂³	1	8	yes	complemented
495	#1631	C₂³	1	8	yes	complemented
496	#1630	C₂³	1	8	yes	complemented
497	#1629	C₂³	1	8	yes	complemented
498	#1628	C₂³	1	8	yes	complemented
499	#1628	C₂³	1	8	yes	complemented
500	#1627	C₂³	1	8	yes	complemented
501	#1627	C₂³	1	8	yes	complemented
502	#1626	C₂³	1	8	yes	complemented
503	#1626	C₂³	1	8	yes	complemented
504	#1625	C₂³	1	8	yes	complemented
505	#1625	C₂³	1	8	yes	complemented
506	#1624	C₂³	1	8	yes	complemented
507	#1623	C₂³	1	8	yes	complemented
508	#1622	C₂³	1	8	yes	complemented
509	#1622	C₂³	1	8	yes	complemented
510	#1621	C₂³	1	8	yes	complemented
511	#1621	C₂³	1	8	yes	complemented
512	#1620	C₂³	1	8	yes	complemented
513	#1619	C₂³	1	8	yes	complemented
514	#1559	C₂³	1	4	yes	complemented
515	#1559	C₂³	1	4	yes	complemented
516	#1558	C₂³	1	2	yes	complemented
517	#1558	C₂³	1	2	yes	complemented
518	#1557	C₂³	1	4	yes	complemented
519	#1557	C₂³	1	4	yes	complemented
520	#1556	C₂³	1	2	yes	complemented
521	#1556	C₂³	1	2	yes	complemented
522	#1556	C₂³	1	2	yes	complemented
523	#1556	C₂³	1	2	yes	complemented
524	#1555	C₂³	1	2	yes	complemented
525	#1555	C₂³	1	2	yes	complemented
526	#1554	C₂³	1	4	yes	—
527	#1554	C₂³	1	4	yes	—
528	#1553	C₂³	1	4	yes	—
529	#1553	C₂³	1	4	yes	—
530	#1552	C₂³	1	4	yes	—
531	#1552	C₂³	1	4	yes	—
532	#1552	C₂³	1	4	yes	complemented
533	#1552	C₂³	1	4	yes	complemented
534	#1551	C₂³	1	4	yes	—
535	#1551	C₂³	1	4	yes	—
536	#1551	C₂³	1	4	yes	complemented
537	#1551	C₂³	1	4	yes	complemented
538	#1550	C₂³	1	4	yes	complemented
539	#1550	C₂³	1	4	yes	complemented
540	#1547	C₂³	1	4	yes	complemented
541	#1547	C₂³	1	4	yes	complemented
542	#1542	C₂³	1	2	yes	—
543	#1542	C₂³	1	2	yes	—
544	#1542	C₂³	1	2	yes	—
545	#1542	C₂³	1	2	yes	—
546	#1540	C₂³	1	2	yes	—
547	#1540	C₂³	1	2	yes	—
548	#1540	C₂³	1	2	yes	—
549	#1540	C₂³	1	2	yes	—
550	#1497	C₂³	1	4	yes	complemented
551	#1497	C₂³	1	4	yes	complemented
552	#1496	C₂³	1	4	yes	complemented
553	#1496	C₂³	1	4	yes	complemented
554	#1494	C₂³	1	8	yes	—
555	#1494	C₂³	1	8	yes	—
556	#1491	C₂³	1	4	yes	complemented
557	#1491	C₂³	1	4	yes	complemented
558	#1490	C₂³	1	4	yes	complemented
559	#1490	C₂³	1	4	yes	complemented
560	#1489	C₂³	1	4	yes	—
561	#1489	C₂³	1	4	yes	—
562	#1489	C₂³	1	4	yes	—
563	#1489	C₂³	1	4	yes	—
564	#1489	C₂³	1	8	yes	—
565	#1489	C₂³	1	8	yes	—
566	#1488	C₂³	1	4	yes	—
567	#1488	C₂³	1	4	yes	—
568	#1488	C₂³	1	8	yes	—
569	#1488	C₂³	1	8	yes	—
570	#1488	C₂³	1	4	yes	—
571	#1488	C₂³	1	4	yes	—
572	#1488	C₂³	1	8	yes	—
573	#1488	C₂³	1	8	yes	—
574	#1483	C₂³	1	8	yes	complemented
575	#1483	C₂³	1	8	yes	complemented
576	#1481	C₂³	1	2	yes	—
577	#1481	C₂³	1	2	yes	—
578	#1481	C₂³	1	2	yes	—
579	#1481	C₂³	1	2	yes	—
580	#1480	C₂³	1	2	yes	—
581	#1480	C₂³	1	2	yes	—
582	#1480	C₂³	1	2	yes	—
583	#1480	C₂³	1	2	yes	—
584	#1479	C₂³	1	2	yes	—
585	#1479	C₂³	1	2	yes	—
586	#1479	C₂³	1	8	yes	—
587	#1479	C₂³	1	2	yes	—
588	#1479	C₂³	1	2	yes	—
589	#1478	C₂³	1	2	yes	—
590	#1478	C₂³	1	2	yes	—
591	#1478	C₂³	1	8	yes	—
592	#1478	C₂³	1	2	yes	—
593	#1478	C₂³	1	2	yes	—
594	#1477	C₂³	1	8	yes	complemented
595	#1477	C₂³	1	8	yes	complemented
596	C₂×Q₈⋊C₈	C₂³	1	8	yes	—
597	C₂×D₄⋊C₈	C₂³	1	8	yes	—
598	C₂²×#41	C₂×D₄	1	1	yes	characteristic
599	C₂²×#41	C₂×D₄	1	1	yes	characteristic
600	C₂²×#41	C₂×D₄	1	1	yes	characteristic
601	C₂²×#41	C₂×D₄	1	1	yes	characteristic
602	C₂²×#41	C₂×D₄	1	2	yes	—
603	C₂²×#41	C₂×D₄	1	2	yes	—
604	C₂²×#41	C₂×D₄	1	2	yes	—
605	C₂²×#41	C₂×D₄	1	2	yes	—
606	C₂²×#41	C₂×D₄	1	2	yes	—
607	C₂²×#41	C₂×D₄	1	2	yes	—
608	C₂³×Q₈	C₂×D₄	1	1	yes	characteristic
609	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
610	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic
611	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic
612	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic
613	#559	C₂⁴	1	4	yes	—
614	Q₈²	C₂⁴	1	4	yes	—
615	#557	C₂⁴	1	4	yes	—
616	#557	C₂⁴	1	4	yes	—
617	#556	C₂⁴	1	4	yes	—
618	#556	C₂⁴	1	4	yes	—
619	#555	C₂⁴	1	4	yes	—
620	#554	C₂⁴	1	4	yes	—
621	#554	C₂⁴	1	4	yes	—
622	#550	C₂⁴	1	4	yes	—
623	#550	C₂⁴	1	4	yes	—
624	D₄×Q₈	C₂⁴	1	4	yes	—
625	D₄×Q₈	C₂⁴	1	4	yes	—
626	#547	C₂⁴	1	4	yes	—
627	#547	C₂⁴	1	4	yes	—
628	D₄²	C₂⁴	1	4	yes	—
629	#533	C₂×D₄	1	2	yes	—
630	#533	C₂×D₄	1	2	yes	—
631	#533	C₂×D₄	1	2	yes	—
632	#533	C₂×D₄	1	2	yes	—
633	#533	C₂×D₄	1	2	yes	—
634	#533	C₂×D₄	1	2	yes	—
635	#533	C₂×D₄	1	2	yes	—
636	#533	C₂×D₄	1	2	yes	—
637	#533	C₂×D₄	1	2	yes	—
638	#533	C₂×D₄	1	2	yes	—
639	#533	C₂×D₄	1	2	yes	—
640	#533	C₂×D₄	1	2	yes	—
641	#533	C₂×D₄	1	2	yes	—
642	#533	C₂×D₄	1	2	yes	—
643	#533	C₂×D₄	1	2	yes	—
644	#533	C₂×D₄	1	2	yes	—
645	#533	C₂⁴	1	2	yes	—
646	#533	C₂⁴	1	2	yes	—
647	#533	C₂⁴	1	2	yes	—
648	#533	C₂⁴	1	2	yes	—
649	#533	C₂⁴	1	2	yes	—
650	#533	C₂⁴	1	2	yes	—
651	#533	C₂⁴	1	2	yes	—
652	#533	C₂⁴	1	2	yes	—
653	#533	C₂⁴	1	2	yes	—
654	#533	C₂⁴	1	2	yes	—
655	#533	C₂⁴	1	2	yes	—
656	#533	C₂⁴	1	2	yes	—
657	#533	C₂⁴	1	2	yes	—
658	#533	C₂⁴	1	2	yes	—
659	#532	C₂×D₄	1	2	yes	—
660	#532	C₂×D₄	1	2	yes	—
661	#532	C₂×D₄	1	2	yes	—
662	#532	C₂×D₄	1	2	yes	—
663	#532	C₂×D₄	1	2	yes	—
664	#532	C₂×D₄	1	2	yes	—
665	#532	C₂×D₄	1	2	yes	—
666	#532	C₂×D₄	1	2	yes	—
667	#532	C₂×D₄	1	2	yes	—
668	#532	C₂×D₄	1	2	yes	—
669	#532	C₂×D₄	1	2	yes	—
670	#532	C₂×D₄	1	2	yes	—
671	#532	C₂×D₄	1	2	yes	—
672	#532	C₂×D₄	1	2	yes	—
673	#532	C₂×D₄	1	2	yes	—
674	#532	C₂×D₄	1	2	yes	—
675	#532	C₂⁴	1	2	yes	—
676	#532	C₂⁴	1	2	yes	—
677	#532	C₂⁴	1	2	yes	—
678	#532	C₂⁴	1	2	yes	—
679	#532	C₂⁴	1	2	yes	—
680	#532	C₂⁴	1	2	yes	—
681	#532	C₂⁴	1	2	yes	—
682	#532	C₂⁴	1	2	yes	—
683	#532	C₂⁴	1	2	yes	—
684	#532	C₂⁴	1	2	yes	—
685	#532	C₂⁴	1	2	yes	—
686	#532	C₂⁴	1	2	yes	—
687	#532	C₂⁴	1	2	yes	—
688	#532	C₂⁴	1	2	yes	—
689	C₂×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
690	C₂×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
691	C₂×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
692	C₂×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
693	C₂×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
694	C₂×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
695	C₂×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
696	C₂×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
697	C₂×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
698	C₂×#127	C₂×D₄	1	1	yes	characteristic
699	C₂×#127	C₂⁴	1	1	yes	characteristic
700	C₂×#127	C₂⁴	1	1	yes	characteristic
701	#529	C₂×D₄	1	4	yes	—
702	#529	C₂×D₄	1	4	yes	—
703	#529	C₂×D₄	1	4	yes	—
704	#529	C₂×D₄	1	4	yes	—
705	#529	C₂×D₄	1	4	yes	—
706	#529	C₂×D₄	1	4	yes	—
707	#529	C₂×D₄	1	4	yes	—
708	#529	C₂×D₄	1	4	yes	—
709	#529	C₂×D₄	1	4	yes	—
710	#529	C₂×D₄	1	4	yes	—
711	#529	C₂×D₄	1	4	yes	—
712	#529	C₂×D₄	1	4	yes	—
713	#529	C₂×D₄	1	4	yes	—
714	#529	C₂×D₄	1	4	yes	—
715	#529	C₂⁴	1	4	yes	—
716	#529	C₂⁴	1	4	yes	—
717	C₂×#125	C₂×D₄	1	2	yes	—
718	C₂×#125	C₂×D₄	1	2	yes	—
719	C₂×#124	C₂×D₄	1	2	yes	—
720	C₂×#124	C₂×D₄	1	2	yes	—
721	#525	C₂×D₄	1	4	yes	—
722	#525	C₂×D₄	1	4	yes	—
723	#525	C₂×D₄	1	4	yes	—
724	#525	C₂×D₄	1	4	yes	—
725	#525	C₂×D₄	1	4	yes	—
726	#525	C₂×D₄	1	4	yes	—
727	#525	C₂×D₄	1	4	yes	—
728	#525	C₂×D₄	1	4	yes	—
729	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
730	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
731	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
732	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
733	C₂×#121	C₂×D₄	1	2	yes	—
734	C₂×#121	C₂×D₄	1	2	yes	—
735	C₂×#121	C₂×D₄	1	2	yes	—
736	C₂×#121	C₂×D₄	1	2	yes	—
737	C₄×#41	C₂×D₄	1	2	yes	—
738	C₄×#41	C₂×D₄	1	2	yes	—
739	C₄×#41	C₂×D₄	1	2	yes	—
740	C₄×#41	C₂×D₄	1	2	yes	—
741	C₄×#41	C₂×D₄	1	4	yes	—
742	C₄×#41	C₂×D₄	1	4	yes	—
743	C₄×#41	C₂×D₄	1	2	yes	—
744	C₄×#41	C₂×D₄	1	4	yes	—
745	C₄×#41	C₂×D₄	1	2	yes	—
746	C₄×#41	C₂×D₄	1	2	yes	—
747	C₄×#41	C₂×D₄	1	2	yes	—
748	C₄×#41	C₂×D₄	1	2	yes	—
749	C₄×#41	C₂×D₄	1	2	yes	—
750	C₄×#41	C₂×D₄	1	2	yes	—
751	C₄×#41	C₂×D₄	1	2	yes	—
752	C₄×#41	C₂×D₄	1	4	yes	—
753	C₄×#41	C₂×D₄	1	2	yes	—
754	C₄×#41	C₂×D₄	1	2	yes	—
755	C₄×#41	C₂×D₄	1	2	yes	—
756	C₄×#41	C₂×D₄	1	2	yes	—
757	C₄×#41	C₂×D₄	1	4	yes	—
758	C₄×#41	C₂×D₄	1	2	yes	—
759	C₄×#41	C₂×D₄	1	2	yes	—
760	C₄×#41	C₂×D₄	1	2	yes	—
761	C₄×#41	C₂×D₄	1	2	yes	—
762	C₄×#41	C₂×D₄	1	2	yes	—
763	C₄×#41	C₂×D₄	1	2	yes	—
764	C₄×#41	C₂×D₄	1	2	yes	—
765	C₄×#41	C₂×D₄	1	2	yes	—
766	C₄×#41	C₂×D₄	1	4	yes	—
767	C₄×#41	C₂⁴	1	2	yes	—
768	C₄×#41	C₂⁴	1	2	yes	—
769	C₄×#41	C₂⁴	1	2	yes	—
770	C₄×#41	C₂⁴	1	2	yes	—
771	C₄×#41	C₂⁴	1	4	yes	—
772	C₄×#41	C₂⁴	1	2	yes	—
773	C₄×#41	C₂⁴	1	2	yes	—
774	C₄×#41	C₂⁴	1	2	yes	—
775	C₄×#41	C₂⁴	1	2	yes	—
776	C₄×#41	C₂⁴	1	4	yes	—
777	C₂×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
778	C₂×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
779	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
780	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
781	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
782	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
783	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
784	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
785	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
786	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
787	C₂×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
788	C₂×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
789	C₂×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
790	C₂×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
791	C₂×C₄×Q₈	C₂×D₄	1	2	yes	—
792	C₂×C₄×Q₈	C₂⁴	1	1	yes	characteristic
793	C₂×C₄×Q₈	C₂⁴	1	1	yes	characteristic
794	C₂×C₄×Q₈	C₂⁴	1	2	yes	—
795	C₂×C₄×Q₈	C₂⁴	1	2	yes	—
796	C₂×C₄×Q₈	C₂⁴	1	2	yes	—
797	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
798	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
799	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
800	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
801	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
802	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
803	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
804	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
805	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
806	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
807	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
808	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
809	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
810	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
811	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
812	C₂×C₄×D₄	C₂⁴	1	2	yes	—
813	C₂×C₄×D₄	C₂⁴	1	2	yes	—
814	C₂×C₄×D₄	C₂⁴	1	2	yes	—
815	C₂×C₄×D₄	C₂⁴	1	1	yes	characteristic
816	C₂×C₄×D₄	C₂⁴	1	1	yes	characteristic
817	C₂×#117	C₂×D₄	1	1	yes	characteristic
818	C₂×#117	C₂×D₄	1	1	yes	characteristic
819	C₂×#117	C₂×D₄	1	2	yes	—
820	C₂×#117	C₂×D₄	1	2	yes	—
821	C₂×#117	C₂×D₄	1	2	yes	—
822	C₂×#117	C₂×D₄	1	2	yes	—
823	C₂×#117	C₂×D₄	1	2	yes	—
824	C₂×#117	C₂×D₄	1	2	yes	—
825	C₂×#117	C₂×D₄	1	1	yes	characteristic
826	C₂×#117	C₂×D₄	1	1	yes	characteristic
827	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
828	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
829	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
830	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
831	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
832	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
833	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
834	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
835	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
836	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
837	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
838	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
839	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
840	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
841	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
842	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
843	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
844	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
845	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
846	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
847	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
848	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
849	C₂²×C₄²	C₂×D₄	1	1	yes	characteristic
850	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
851	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
852	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
853	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
854	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
855	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
856	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
857	#500	C₂⁴	1	4	yes	—
858	#500	C₂⁴	1	4	yes	—
859	#498	C₂⁴	1	4	yes	—
860	#498	C₂⁴	1	4	yes	—
861	#494	C₂⁴	1	4	yes	—
862	#493	C₂⁴	1	4	yes	—
863	#492	C₂⁴	1	4	yes	—
864	#492	C₂⁴	1	4	yes	—
865	#487	C₂⁴	1	4	yes	—
866	#487	C₂⁴	1	4	yes	—
867	#487	C₂⁴	1	4	yes	—
868	#487	C₂⁴	1	4	yes	—
869	#486	C₂⁴	1	4	yes	—
870	#486	C₂⁴	1	4	yes	—
871	#486	C₂⁴	1	4	yes	—
872	#486	C₂⁴	1	4	yes	—
873	#477	C₂⁴	1	4	yes	—
874	#477	C₂⁴	1	4	yes	—
875	#477	C₂⁴	1	8	yes	—
876	#476	C₂⁴	1	4	yes	—
877	#476	C₂⁴	1	4	yes	—
878	#476	C₂⁴	1	8	yes	—
879	#475	C₂⁴	1	4	yes	—
880	#475	C₂⁴	1	4	yes	—
881	#475	C₂⁴	1	8	yes	—
882	#474	C₂⁴	1	4	yes	—
883	#474	C₂⁴	1	4	yes	—
884	#474	C₂⁴	1	8	yes	—
885	#462	C₂⁴	1	8	yes	—
886	#462	C₂⁴	1	4	yes	—
887	#462	C₂⁴	1	4	yes	—
888	#461	C₂⁴	1	8	yes	—
889	#461	C₂⁴	1	4	yes	—
890	#461	C₂⁴	1	4	yes	—
891	#460	C₂⁴	1	8	yes	—
892	#460	C₂⁴	1	4	yes	—
893	#460	C₂⁴	1	4	yes	—
894	#459	C₂⁴	1	8	yes	—
895	#459	C₂⁴	1	4	yes	—
896	#459	C₂⁴	1	4	yes	—
897	#432	C₂⁴	1	2	yes	—
898	#432	C₂⁴	1	2	yes	—
899	#432	C₂⁴	1	4	yes	—
900	#432	C₂⁴	1	2	yes	—
901	#432	C₂⁴	1	2	yes	—
902	#432	C₂⁴	1	2	yes	—
903	#432	C₂⁴	1	2	yes	—
904	#432	C₂⁴	1	2	yes	—
905	#432	C₂⁴	1	2	yes	—
906	#432	C₂⁴	1	2	yes	—
907	#432	C₂⁴	1	2	yes	—
908	#431	C₂⁴	1	2	yes	—
909	#431	C₂⁴	1	2	yes	—
910	#431	C₂⁴	1	4	yes	—
911	#431	C₂⁴	1	2	yes	—
912	#431	C₂⁴	1	2	yes	—
913	#431	C₂⁴	1	2	yes	—
914	#431	C₂⁴	1	2	yes	—
915	#431	C₂⁴	1	4	yes	—
916	#431	C₂⁴	1	4	yes	—
917	#423	C₂⁴	1	2	yes	—
918	#423	C₂⁴	1	2	yes	—
919	#423	C₂⁴	1	4	yes	—
920	C₂×C₄⋊C₈	C₂⁴	1	1	yes	characteristic
921	C₂×C₄⋊C₈	C₂⁴	1	1	yes	characteristic
922	C₂×C₄⋊C₈	C₂⁴	1	1	yes	characteristic
923	C₂×C₄⋊C₈	C₂⁴	1	1	yes	characteristic
924	C₂×C₄⋊C₈	C₂⁴	1	2	yes	—
925	C₂×C₄⋊C₈	C₂⁴	1	2	yes	—
926	C₂×C₄⋊C₈	C₂⁴	1	2	yes	—
927	C₂×C₄⋊C₈	C₂⁴	1	2	yes	—
928	C₂×C₄⋊C₈	C₂⁴	1	4	yes	—
929	C₄×M₁₆	C₂⁴	1	2	yes	—
930	C₄×M₁₆	C₂⁴	1	4	yes	—
931	C₄×M₁₆	C₂⁴	1	2	yes	—
932	C₂×C₄×C₈	C₂⁴	1	4	yes	—
933	#333	C₂⁴	1	4	yes	—
934	#333	C₂⁴	1	4	yes	—
935	#333	C₂⁴	1	4	yes	—
936	#333	C₂⁴	1	4	yes	—
937	#332	C₂⁴	1	4	yes	—
938	#332	C₂⁴	1	4	yes	—
939	#332	C₂⁴	1	4	yes	—
940	#332	C₂⁴	1	4	yes	—
941	#332	C₂⁴	1	4	yes	—
942	#332	C₂⁴	1	4	yes	—
943	#332	C₂⁴	1	4	yes	—
944	#332	C₂⁴	1	4	yes	—
945	#331	C₂⁴	1	4	yes	—
946	#331	C₂⁴	1	4	yes	—
947	#331	C₂⁴	1	4	yes	—
948	#331	C₂⁴	1	4	yes	—
949	Q₈⋊C₈	C₂⁴	1	8	yes	—
950	Q₈⋊C₈	C₂⁴	1	8	yes	—
951	Q₈⋊C₈	C₂⁴	1	8	yes	—
952	Q₈⋊C₈	C₂⁴	1	8	yes	—
953	Q₈⋊C₈	C₂⁴	1	8	yes	—
954	Q₈⋊C₈	C₂⁴	1	8	yes	—
955	Q₈⋊C₈	C₂⁴	1	8	yes	—
956	Q₈⋊C₈	C₂⁴	1	8	yes	—
957	D₄⋊C₈	C₂⁴	1	8	yes	—
958	D₄⋊C₈	C₂⁴	1	8	yes	—
959	D₄⋊C₈	C₂⁴	1	8	yes	—
960	D₄⋊C₈	C₂⁴	1	8	yes	—
961	D₄⋊C₈	C₂⁴	1	8	yes	—
962	D₄⋊C₈	C₂⁴	1	8	yes	—
963	D₄⋊C₈	C₂⁴	1	8	yes	—
964	D₄⋊C₈	C₂⁴	1	8	yes	—
965	C₂⁵	#120	1	1	yes	characteristic
966	C₂×#41	C₂²×D₄	1	2	yes	—
967	C₂×#41	C₂²×D₄	1	2	yes	—
968	C₂×#41	C₂²×D₄	1	2	yes	—
969	C₂×#41	C₂²×D₄	1	2	yes	—
970	C₂×#41	C₂²×D₄	1	2	yes	—
971	C₂×#41	C₂²×D₄	1	2	yes	—
972	C₂×#41	C₂²×D₄	1	4	yes	—
973	C₂×#41	C₂²×D₄	1	2	yes	—
974	C₂×#41	C₂²×D₄	1	2	yes	—
975	C₂×#41	C₂²×D₄	1	4	yes	—
976	C₂×#41	C₂²×D₄	1	4	yes	—
977	C₂×#41	C₂²×D₄	1	4	yes	—
978	C₂²×Q₈	C₂²×D₄	1	1	yes	characteristic
979	C₂²×Q₈	C₂²×D₄	1	2	yes	—
980	C₂²×Q₈	C₂²×D₄	1	2	yes	—
981	C₂²×Q₈	C₂²×D₄	1	1	yes	characteristic
982	C₂²×Q₈	C₂²×D₄	1	2	yes	—
983	C₂²×Q₈	C₂²×D₄	1	2	yes	—
984	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
985	C₂²×D₄	C₂²×D₄	1	2	yes	—
986	C₂²×D₄	C₂²×D₄	1	2	yes	—
987	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
988	C₂²×D₄	C₂²×D₄	1	2	yes	—
989	C₂²×D₄	C₂²×D₄	1	2	yes	—
990	C₂³×C₄	#120	1	1	yes	characteristic
991	C₂³×C₄	#120	1	1	yes	characteristic
992	C₂³×C₄	#120	1	1	yes	characteristic
993	C₂³×C₄	#120	1	1	yes	characteristic
994	C₂³×C₄	#120	1	1	yes	characteristic
995	C₂³×C₄	#120	1	1	yes	characteristic
996	C₂³×C₄	#120	1	1	yes	characteristic
997	C₂³×C₄	#120	1	1	yes	characteristic
998	C₂³×C₄	#120	1	1	yes	characteristic
999	C₂³×C₄	#120	1	1	yes	characteristic
1000	C₂³×C₄	#120	1	1	yes	characteristic
1001	C₂³×C₄	#120	1	1	yes	characteristic
1002	C₂³×C₄	#120	1	1	yes	characteristic
1003	C₂³×C₄	#120	1	1	yes	characteristic
1004	C₂³×C₄	#120	1	1	yes	characteristic
1005	C₂³×C₄	#120	1	1	yes	characteristic
1006	C₂³×C₄	#120	1	1	yes	characteristic
1007	C₂³×C₄	#120	1	1	yes	characteristic
1008	C₂³×C₄	#120	1	1	yes	characteristic
1009	C₂³×C₄	#120	1	1	yes	characteristic
1010	C₂³×C₄	#120	1	1	yes	characteristic
1011	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1012	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1013	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1014	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1015	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1016	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1017	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1018	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1019	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1020	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1021	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1022	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1023	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1024	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1025	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1026	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1027	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1028	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1029	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1030	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1031	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1032	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1033	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1034	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1035	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1036	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1037	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1038	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1039	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1040	C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1041	C₄⋊Q₈	C₂⁵	1	2	yes	—
1042	C₄⋊Q₈	C₂⁵	1	2	yes	—
1043	C₄⋊Q₈	C₂⁵	1	2	yes	—
1044	C₄⋊Q₈	C₂⁵	1	2	yes	—
1045	C₄⋊Q₈	C₂⁵	1	2	yes	—
1046	C₄⋊Q₈	C₂⁵	1	2	yes	—
1047	#127	C₂²×D₄	1	2	yes	—
1048	#127	C₂²×D₄	1	2	yes	—
1049	#127	C₂²×D₄	1	2	yes	—
1050	#127	C₂⁵	1	2	yes	—
1051	#127	C₂⁵	1	2	yes	—
1052	#125	C₂²×D₄	1	4	yes	—
1053	#125	C₂²×D₄	1	4	yes	—
1054	#125	C₂²×D₄	1	4	yes	—
1055	#125	C₂²×D₄	1	4	yes	—
1056	#124	C₂²×D₄	1	4	yes	—
1057	#124	C₂²×D₄	1	4	yes	—
1058	#124	C₂²×D₄	1	4	yes	—
1059	#124	C₂²×D₄	1	4	yes	—
1060	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1061	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1062	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1063	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1064	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1065	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1066	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1067	C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1068	#121	C₂²×D₄	1	4	yes	—
1069	#121	C₂²×D₄	1	4	yes	—
1070	#121	C₂²×D₄	1	4	yes	—
1071	#121	C₂²×D₄	1	4	yes	—
1072	#121	C₂²×D₄	1	4	yes	—
1073	#121	C₂²×D₄	1	4	yes	—
1074	#121	C₂²×D₄	1	4	yes	—
1075	#121	C₂²×D₄	1	4	yes	—
1076	C₄×Q₈	C₂²×D₄	1	2	yes	—
1077	C₄×Q₈	C₂²×D₄	1	2	yes	—
1078	C₄×Q₈	C₂²×D₄	1	4	yes	—
1079	C₄×Q₈	C₂²×D₄	1	4	yes	—
1080	C₄×Q₈	C₂²×D₄	1	2	yes	—
1081	C₄×Q₈	C₂²×D₄	1	2	yes	—
1082	C₄×Q₈	C₂²×D₄	1	2	yes	—
1083	C₄×Q₈	C₂²×D₄	1	2	yes	—
1084	C₄×Q₈	C₂²×D₄	1	2	yes	—
1085	C₄×Q₈	C₂²×D₄	1	2	yes	—
1086	C₄×Q₈	C₂²×D₄	1	2	yes	—
1087	C₄×Q₈	C₂²×D₄	1	2	yes	—
1088	C₄×Q₈	C₂²×D₄	1	2	yes	—
1089	C₄×Q₈	C₂²×D₄	1	2	yes	—
1090	C₄×Q₈	C₂²×D₄	1	2	yes	—
1091	C₄×Q₈	C₂²×D₄	1	2	yes	—
1092	C₄×Q₈	C₂²×D₄	1	4	yes	—
1093	C₄×Q₈	C₂²×D₄	1	4	yes	—
1094	C₄×Q₈	C₂²×D₄	1	4	yes	—
1095	C₄×Q₈	C₂²×D₄	1	4	yes	—
1096	C₄×Q₈	C₂²×D₄	1	4	yes	—
1097	C₄×Q₈	C₂⁵	1	2	yes	—
1098	C₄×Q₈	C₂⁵	1	2	yes	—
1099	C₄×Q₈	C₂⁵	1	4	yes	—
1100	C₄×D₄	C₂²×D₄	1	2	yes	—
1101	C₄×D₄	C₂²×D₄	1	2	yes	—
1102	C₄×D₄	C₂²×D₄	1	4	yes	—
1103	C₄×D₄	C₂²×D₄	1	4	yes	—
1104	C₄×D₄	C₂²×D₄	1	2	yes	—
1105	C₄×D₄	C₂²×D₄	1	2	yes	—
1106	C₄×D₄	C₂²×D₄	1	2	yes	—
1107	C₄×D₄	C₂²×D₄	1	2	yes	—
1108	C₄×D₄	C₂²×D₄	1	2	yes	—
1109	C₄×D₄	C₂²×D₄	1	2	yes	—
1110	C₄×D₄	C₂²×D₄	1	2	yes	—
1111	C₄×D₄	C₂²×D₄	1	2	yes	—
1112	C₄×D₄	C₂²×D₄	1	2	yes	—
1113	C₄×D₄	C₂²×D₄	1	2	yes	—
1114	C₄×D₄	C₂²×D₄	1	2	yes	—
1115	C₄×D₄	C₂²×D₄	1	2	yes	—
1116	C₄×D₄	C₂²×D₄	1	4	yes	—
1117	C₄×D₄	C₂²×D₄	1	4	yes	—
1118	C₄×D₄	C₂²×D₄	1	4	yes	—
1119	C₄×D₄	C₂²×D₄	1	4	yes	—
1120	C₄×D₄	C₂²×D₄	1	4	yes	—
1121	C₄×D₄	C₂⁵	1	2	yes	—
1122	C₄×D₄	C₂⁵	1	2	yes	—
1123	C₄×D₄	C₂⁵	1	4	yes	—
1124	#117	C₂²×D₄	1	2	yes	—
1125	#117	C₂²×D₄	1	4	yes	—
1126	#117	C₂²×D₄	1	2	yes	—
1127	#117	C₂²×D₄	1	2	yes	—
1128	#117	C₂²×D₄	1	2	yes	—
1129	#117	C₂²×D₄	1	2	yes	—
1130	#117	C₂²×D₄	1	2	yes	—
1131	#117	C₂²×D₄	1	2	yes	—
1132	#117	C₂²×D₄	1	2	yes	—
1133	#117	C₂²×D₄	1	4	yes	—
1134	#117	C₂²×D₄	1	4	yes	—
1135	#117	C₂²×D₄	1	4	yes	—
1136	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1137	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1138	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1139	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1140	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1141	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1142	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1143	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1144	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1145	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1146	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1147	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1148	C₂×C₄²	#120	1	1	yes	characteristic
1149	C₂×C₄²	#120	1	1	yes	characteristic
1150	C₂×C₄²	#120	1	1	yes	characteristic
1151	C₂×C₄²	#120	1	1	yes	characteristic
1152	C₂×C₄²	#120	1	1	yes	characteristic
1153	C₂×C₄²	#120	1	1	yes	characteristic
1154	C₂×C₄²	#120	1	1	yes	characteristic
1155	C₂×C₄²	#120	1	1	yes	characteristic
1156	C₂×C₄²	#120	1	1	yes	characteristic
1157	C₂×C₄²	#120	1	1	yes	characteristic
1158	C₂×C₄²	#120	1	1	yes	characteristic
1159	C₂×C₄²	#120	1	1	yes	characteristic
1160	C₂×C₄²	#120	1	1	yes	characteristic
1161	C₂×C₄²	#120	1	1	yes	characteristic
1162	C₂×C₄²	#120	1	1	yes	characteristic
1163	C₂×C₄²	#120	1	1	yes	characteristic
1164	C₂×C₄²	#120	1	1	yes	characteristic
1165	C₂×C₄²	#120	1	1	yes	characteristic
1166	C₂×C₄²	#120	1	1	yes	characteristic
1167	C₂×C₄²	#120	1	1	yes	characteristic
1168	C₂×C₄²	#120	1	1	yes	characteristic
1169	C₂×C₄²	#120	1	1	yes	characteristic
1170	C₂×C₄²	#120	1	1	yes	characteristic
1171	C₂×C₄²	#120	1	1	yes	characteristic
1172	C₂×C₄²	#120	1	1	yes	characteristic
1173	C₂×C₄²	#120	1	1	yes	characteristic
1174	C₂×C₄²	#120	1	1	yes	characteristic
1175	C₂×C₄²	#120	1	1	yes	characteristic
1176	C₂×C₄²	#120	1	1	yes	characteristic
1177	C₂×C₄²	#120	1	1	yes	characteristic
1178	C₂×C₄²	#120	1	1	yes	characteristic
1179	C₂×C₄²	#120	1	1	yes	characteristic
1180	C₂×C₄²	#120	1	1	yes	characteristic
1181	C₂×C₄²	#120	1	1	yes	characteristic
1182	C₂×C₄²	#120	1	1	yes	characteristic
1183	C₂×C₄²	#120	1	1	yes	characteristic
1184	C₂×C₄²	#120	1	1	yes	characteristic
1185	C₂×C₄²	#120	1	1	yes	characteristic
1186	C₂×C₄²	#120	1	1	yes	characteristic
1187	C₂×C₄²	#120	1	1	yes	characteristic
1188	C₂×C₄²	#120	1	1	yes	characteristic
1189	C₂×C₄²	#120	1	1	yes	characteristic
1190	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1191	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1192	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1193	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1194	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1195	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1196	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1197	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1198	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1199	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1200	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1201	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1202	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1203	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1204	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1205	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1206	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1207	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1208	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1209	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1210	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1211	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1212	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1213	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1214	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1215	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1216	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1217	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1218	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1219	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1220	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1221	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1222	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1223	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1224	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1225	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1226	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1227	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1228	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1229	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1230	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1231	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1232	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1233	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1234	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1235	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1236	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1237	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1238	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1239	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1240	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1241	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1242	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1243	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1244	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1245	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1246	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1247	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1248	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1249	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1250	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1251	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1252	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
1253	C₂×C₄²	C₂⁵	1	1	yes	characteristic
1254	C₂×C₄²	C₂⁵	1	1	yes	characteristic
1255	C₂×C₄²	C₂⁵	1	1	yes	characteristic
1256	C₂×C₄²	C₂⁵	1	1	yes	characteristic
1257	C₂×C₄²	C₂⁵	1	1	yes	characteristic
1258	C₂×C₄²	C₂⁵	1	1	yes	characteristic
1259	C₂×C₄²	C₂⁵	1	1	yes	characteristic
1260	C₄⋊C₈	C₂⁵	1	2	yes	—
1261	C₄⋊C₈	C₂⁵	1	2	yes	—
1262	C₄⋊C₈	C₂⁵	1	2	yes	—
1263	C₄⋊C₈	C₂⁵	1	2	yes	—
1264	C₄⋊C₈	C₂⁵	1	4	yes	—
1265	C₄⋊C₈	C₂⁵	1	4	yes	—
1266	C₄×C₈	C₂⁵	1	4	yes	—
1267	C₄×C₈	C₂⁵	1	4	yes	—
1268	C₂⁴	C₂×#120	1	1	yes	characteristic
1269	C₂⁴	C₂×#120	1	1	yes	characteristic
1270	C₂⁴	C₂×#120	1	1	yes	characteristic
1271	C₂⁴	C₂×#120	1	1	yes	characteristic
1272	C₂⁴	C₂×#120	1	1	yes	characteristic
1273	C₂⁴	C₂×#120	1	1	yes	characteristic
1274	C₂⁴	C₂×#120	1	1	yes	characteristic
1275	C₂×Q₈	#575	1	4	yes	—
1276	C₂×Q₈	C₂³×D₄	1	4	yes	—
1277	C₂×Q₈	C₂³×D₄	1	2	yes	—
1278	C₂×Q₈	C₂³×D₄	1	2	yes	—
1279	C₂×Q₈	C₂³×D₄	1	4	yes	—
1280	C₂×D₄	#575	1	4	yes	—
1281	C₂×D₄	C₂³×D₄	1	4	yes	—
1282	C₂×D₄	C₂³×D₄	1	2	yes	—
1283	C₂×D₄	C₂³×D₄	1	2	yes	—
1284	C₂×D₄	C₂³×D₄	1	4	yes	—
1285	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1286	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1287	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1288	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1289	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1290	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1291	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1292	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1293	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1294	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1295	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1296	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1297	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1298	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1299	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1300	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1301	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1302	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1303	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1304	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1305	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1306	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1307	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1308	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1309	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1310	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1311	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1312	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1313	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1314	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1315	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1316	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1317	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1318	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1319	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1320	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1321	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1322	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1323	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1324	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1325	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1326	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1327	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1328	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1329	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1330	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1331	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1332	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1333	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1334	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1335	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1336	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1337	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1338	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1339	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1340	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1341	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1342	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1343	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1344	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1345	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1346	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1347	C₂²×C₄	C₂×#120	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1349	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1350	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1351	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1352	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1353	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1354	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1355	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1356	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1357	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1358	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1359	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1360	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1361	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1362	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1363	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1364	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1365	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1366	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1367	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1368	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1369	C₄⋊C₄	C₂³×D₄	1	2	yes	—
1370	C₄⋊C₄	C₂³×D₄	1	2	yes	—
1371	C₄⋊C₄	C₂³×D₄	1	4	yes	—
1372	C₄⋊C₄	C₂³×D₄	1	4	yes	—
1373	C₄⋊C₄	C₂³×D₄	1	2	yes	—
1374	C₄⋊C₄	C₂³×D₄	1	2	yes	—
1375	C₄⋊C₄	C₂³×D₄	1	4	yes	—
1376	C₄⋊C₄	C₂³×D₄	1	4	yes	—
1377	C₄²	C₂×#120	1	1	yes	characteristic
1378	C₄²	C₂×#120	1	1	yes	characteristic
1379	C₄²	C₂×#120	1	1	yes	characteristic
1380	C₄²	C₂×#120	1	1	yes	characteristic
1381	C₄²	C₂×#120	1	1	yes	characteristic
1382	C₄²	C₂×#120	1	1	yes	characteristic
1383	C₄²	C₂×#120	1	1	yes	characteristic
1384	C₄²	C₂×#120	1	1	yes	characteristic
1385	C₄²	C₂×#120	1	1	yes	characteristic
1386	C₄²	C₂×#120	1	1	yes	characteristic
1387	C₄²	C₂×#120	1	1	yes	characteristic
1388	C₄²	C₂×#120	1	1	yes	characteristic
1389	C₄²	C₂×#120	1	1	yes	characteristic
1390	C₄²	C₂×#120	1	1	yes	characteristic
1391	C₄²	C₂×#120	1	1	yes	characteristic
1392	C₄²	C₂×#120	1	1	yes	characteristic
1393	C₄²	C₂×#120	1	1	yes	characteristic
1394	C₄²	C₂×#120	1	1	yes	characteristic
1395	C₄²	C₂×#120	1	1	yes	characteristic
1396	C₄²	C₂×#120	1	1	yes	characteristic
1397	C₄²	C₂×#120	1	1	yes	characteristic
1398	C₄²	C₂×#120	1	1	yes	characteristic
1399	C₄²	C₂×#120	1	1	yes	characteristic
1400	C₄²	C₂×#120	1	1	yes	characteristic
1401	C₄²	C₂×#120	1	1	yes	characteristic
1402	C₄²	C₂×#120	1	1	yes	characteristic
1403	C₄²	C₂×#120	1	1	yes	characteristic
1404	C₄²	C₂×#120	1	1	yes	characteristic
1405	C₄²	C₂×#120	1	1	yes	characteristic
1406	C₄²	C₂×#120	1	1	yes	characteristic
1407	C₄²	C₂×#120	1	1	yes	characteristic
1408	C₄²	C₂×#120	1	1	yes	characteristic
1409	C₄²	C₂×#120	1	1	yes	characteristic
1410	C₄²	C₂×#120	1	1	yes	characteristic
1411	C₄²	C₂×#120	1	1	yes	characteristic
1412	C₄²	C₂×#120	1	1	yes	characteristic
1413	C₄²	C₂×#120	1	1	yes	characteristic
1414	C₄²	C₂×#120	1	1	yes	characteristic
1415	C₄²	C₂×#120	1	1	yes	characteristic
1416	C₄²	C₂×#120	1	1	yes	characteristic
1417	C₄²	C₂×#120	1	1	yes	characteristic
1418	C₄²	C₂×#120	1	1	yes	characteristic
1419	C₄²	C₂³×D₄	1	1	yes	characteristic
1420	C₄²	C₂³×D₄	1	1	yes	characteristic
1421	C₄²	C₂³×D₄	1	1	yes	characteristic
1422	C₄²	C₂³×D₄	1	1	yes	characteristic
1423	C₄²	C₂³×D₄	1	1	yes	characteristic
1424	C₄²	C₂³×D₄	1	1	yes	characteristic
1425	C₄²	C₂³×D₄	1	1	yes	characteristic
1426	C₄²	C₂³×D₄	1	1	yes	characteristic
1427	C₄²	C₂³×D₄	1	1	yes	characteristic
1428	C₄²	C₂³×D₄	1	1	yes	characteristic
1429	C₄²	C₂³×D₄	1	1	yes	characteristic
1430	C₄²	C₂³×D₄	1	1	yes	characteristic
1431	C₄²	C₂³×D₄	1	1	yes	characteristic
1432	C₄²	C₂³×D₄	1	1	yes	characteristic
1433	C₄²	C₂³×D₄	1	1	yes	characteristic
1434	C₄²	C₂³×D₄	1	1	yes	characteristic
1435	C₄²	C₂³×D₄	1	1	yes	characteristic
1436	C₄²	C₂³×D₄	1	1	yes	characteristic
1437	C₄²	C₂³×D₄	1	1	yes	characteristic
1438	C₄²	C₂³×D₄	1	1	yes	characteristic
1439	C₄²	C₂³×D₄	1	1	yes	characteristic
1440	C₄²	C₂⁶	1	1	yes	characteristic
1441	C₂³	C₂²×#120	1	1	yes	characteristic
1442	C₂³	C₂²×#120	1	1	yes	characteristic
1443	C₂³	C₂²×#120	1	1	yes	characteristic
1444	C₂³	C₂²×#120	1	1	yes	characteristic
1445	C₂³	C₂²×#120	1	1	yes	characteristic
1446	C₂³	C₂²×#120	1	1	yes	characteristic
1447	C₂³	C₂²×#120	1	1	yes	characteristic
1448	Q₈	C₂×#575	1	4	yes	—
1449	D₄	C₂×#575	1	4	yes	—
1450	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1451	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1452	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1453	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1454	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1455	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1456	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1457	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1458	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1459	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1460	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1461	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1462	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1463	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1464	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1465	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1466	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1467	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1468	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1469	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1470	C₂×C₄	C₂²×#120	1	1	yes	characteristic
1471	C₂×C₄	C₂×#575	1	2	yes	—
1472	C₂×C₄	C₂×#575	1	2	yes	—
1473	C₂×C₄	C₂⁴×D₄	1	1	yes	characteristic
1474	C₂×C₄	C₂⁴×D₄	1	1	yes	characteristic
1475	C₂×C₄	C₂⁴×D₄	1	1	yes	characteristic
1476	C₂²	#60359	1	2	yes	—
1477	C₂²	#60387	1	2	yes	—
1478	C₂²	C₂³×#120	1	1	yes	characteristic
1479	C₄	#60359	1	2	yes	—
1480	C₄	C₂²×#575	1	1	yes	characteristic
1481	C₄	C₂²×#575	1	1	yes	characteristic
1482	C₄	#63090	1	2	yes	—
1483	C₂	C₂×#60359	1	1	yes	characteristic
1484	C₂	C₂×#60387	1	1	yes	characteristic
1485	C₂	#10574839	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×#120
commutator, Frattini, cosocle	C₄²	C₂⁶
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄² ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #10585995	C₂	semidirect
2. #10575875	C₂	semidirect
3. #10575815	C₂	semidirect
4. C₂×#60546	C₂	semidirect
5. #6349544	C₂	semidirect
6. #6349531	C₂	semidirect
7. #6349478	C₂	semidirect
8. #6349477	C₂	semidirect
9. #6349465	C₂	semidirect
10. #6349464	C₂	semidirect
11. #6349275	C₂	semidirect
12. #6349274	C₂	semidirect
13. #6349262	C₂	semidirect
14. #6349261	C₂	semidirect
15. #6349204	C₂	semidirect
16. #6349203	C₂	semidirect
17. #6349080	C₂	semidirect
18. #6349079	C₂	semidirect
19. #6349078	C₂	semidirect
20. #6349077	C₂	semidirect
21. #6349076	C₂	semidirect
22. #6349075	C₂	semidirect
23. #6349074	C₂	semidirect
24. #6349073	C₂	semidirect
25. #6349015	C₂	semidirect
26. #6348432	C₂	semidirect
27. #6344050	C₂	semidirect
28. #6343023	C₂	semidirect
29. C₂×#17450	C₂	semidirect
30. #62816	C₂²	semidirect
35. #62805	C₂²	semidirect
36. #62805	C₂²	semidirect
37. #62800	C₂²	semidirect
38. #62800	C₂²	semidirect
43. #41²	C₂²	semidirect
46. C₂×#3444	C₂²	semidirect
48. #60972	C₂²	semidirect
49. #60971	C₂²	semidirect
50. #60969	C₂²	semidirect
51. #60969	C₂²	semidirect
52. #60968	C₂²	semidirect
53. #60966	C₂²	semidirect
54. #60966	C₂²	semidirect
55. #60966	C₂²	semidirect
56. #60965	C₂²	semidirect
57. #60965	C₂²	semidirect
58. #60965	C₂²	semidirect
59. #60961	C₂²	semidirect
60. #60953	C₂²	semidirect
61. #60947	C₂²	semidirect
62. #60946	C₂²	semidirect
63. #60917	C₂²	semidirect
64. #60865	C₂²	semidirect
65. #60864	C₂²	semidirect
66. #60846	C₂²	semidirect
67. #60846	C₂²	semidirect
68. #60804	C₂²	semidirect
69. #60803	C₂²	semidirect
70. #60782	C₂²	semidirect
71. #60782	C₂²	semidirect
72. #60693	C₂²	semidirect
73. #60559	C₂²	semidirect
74. #60546	C₂²	semidirect
75. #60546	C₂²	semidirect
76. #60546	C₂²	semidirect
77. #60546	C₂²	semidirect
78. C₂×#3113	C₂²	semidirect
79. C₂×#3112	C₂²	semidirect
80. C₂×#3110	C₂²	semidirect
81. C₂×#3109	C₂²	semidirect
83. C₂×#3116	C₂²	semidirect
85. C₂×#3115	C₂²	semidirect
86. C₂×#3076	C₂²	semidirect
87. C₂×#3076	C₂²	semidirect
88. C₂×#3035	C₂²	semidirect
89. C₂×#3035	C₂²	semidirect
90. C₂×#2920	C₂²	semidirect
91. C₂×#2920	C₂²	semidirect
92. C₂²×#432	C₂²	semidirect
93. #18929	C₂²	semidirect
94. #18928	C₂²	semidirect
95. #18927	C₂²	semidirect
96. #18926	C₂²	semidirect
97. #18925	C₂²	semidirect
98. #18924	C₂²	semidirect
99. #18923	C₂²	semidirect
100. #18922	C₂²	semidirect
101. #18919	C₂²	semidirect
102. #18918	C₂²	semidirect
103. #18917	C₂²	semidirect
104. #18916	C₂²	semidirect
105. #18915	C₂²	semidirect
106. #18914	C₂²	semidirect
107. #18913	C₂²	semidirect
108. #18912	C₂²	semidirect
109. #18909	C₂²	semidirect
110. #18908	C₂²	semidirect
111. #18907	C₂²	semidirect
112. #18906	C₂²	semidirect
113. #18905	C₂²	semidirect
114. #18904	C₂²	semidirect
115. #18903	C₂²	semidirect
116. #18902	C₂²	semidirect
117. #18899	C₂²	semidirect
118. #18898	C₂²	semidirect
119. #18897	C₂²	semidirect
120. #18896	C₂²	semidirect
121. #18895	C₂²	semidirect
122. #18894	C₂²	semidirect
123. #18893	C₂²	semidirect
124. #18892	C₂²	semidirect
125. #18833	C₂²	semidirect
126. #18832	C₂²	semidirect
127. #18831	C₂²	semidirect
128. #18830	C₂²	semidirect
129. #18829	C₂²	semidirect
130. #18828	C₂²	semidirect
131. #18827	C₂²	semidirect
132. #18826	C₂²	semidirect
133. #18821	C₂²	semidirect
134. #18820	C₂²	semidirect
135. #18819	C₂²	semidirect
136. #18818	C₂²	semidirect
137. #18817	C₂²	semidirect
138. #18816	C₂²	semidirect
139. #18815	C₂²	semidirect
140. #18814	C₂²	semidirect
141. #18809	C₂²	semidirect
142. #18808	C₂²	semidirect
143. #18807	C₂²	semidirect
144. #18806	C₂²	semidirect
145. #18797	C₂²	semidirect
146. #18796	C₂²	semidirect
147. #18795	C₂²	semidirect
148. #18794	C₂²	semidirect
149. #18785	C₂²	semidirect
150. #18784	C₂²	semidirect
151. #18775	C₂²	semidirect
152. #18774	C₂²	semidirect
153. #18765	C₂²	semidirect
154. #18764	C₂²	semidirect
155. #18755	C₂²	semidirect
156. #18754	C₂²	semidirect
157. #18649	C₂²	semidirect
158. #18648	C₂²	semidirect
159. #18639	C₂²	semidirect
160. #18638	C₂²	semidirect
161. #18629	C₂²	semidirect
162. #18628	C₂²	semidirect
163. #18619	C₂²	semidirect
164. #18618	C₂²	semidirect
165. #18609	C₂²	semidirect
166. #18608	C₂²	semidirect
167. #18607	C₂²	semidirect
168. #18606	C₂²	semidirect
169. #18597	C₂²	semidirect
170. #18596	C₂²	semidirect
171. #18595	C₂²	semidirect
172. #18594	C₂²	semidirect
173. #18561	C₂²	semidirect
174. #18560	C₂²	semidirect
175. #18559	C₂²	semidirect
176. #18558	C₂²	semidirect
177. #18557	C₂²	semidirect
178. #18556	C₂²	semidirect
179. #18555	C₂²	semidirect
180. #18554	C₂²	semidirect
181. #17756	C₂²	semidirect
182. #17755	C₂²	semidirect
183. #17754	C₂²	semidirect
184. #17753	C₂²	semidirect
185. #17748	C₂²	semidirect
186. #17744	C₂²	semidirect
187. #17734	C₂²	semidirect
188. #17734	C₂²	semidirect
189. #17731	C₂²	semidirect
190. #17731	C₂²	semidirect
191. #17719	C₂²	semidirect
192. #17719	C₂²	semidirect
193. #17713	C₂²	semidirect
194. #17713	C₂²	semidirect
195. #17502	C₂²	semidirect
196. #17496	C₂²	semidirect
197. #17496	C₂²	semidirect
198. #17495	C₂²	semidirect
199. #17495	C₂²	semidirect
200. #17494	C₂²	semidirect
201. #17488	C₂²	semidirect
202. #17488	C₂²	semidirect
203. #17482	C₂²	semidirect
204. #17466	C₂²	semidirect
205. #17466	C₂²	semidirect
206. #17452	C₂²	semidirect
209. #17450	C₂²	semidirect
210. #17450	C₂²	semidirect
211. #17450	C₂²	semidirect
212. #17450	C₂²	semidirect
213. #17450	C₂²	semidirect
214. #17450	C₂²	semidirect
215. C₂×#1489	C₂²	semidirect
216. C₂×#1488	C₂²	semidirect
217. C₂×#1479	C₂²	semidirect
218. C₂×#1478	C₂²	semidirect
324. #3252	C₂³	semidirect
325. #3251	C₂³	semidirect
328. #3237	C₂³	semidirect
329. #3235	C₂³	semidirect
331. #3231	C₂³	semidirect
334. #3230	C₂³	semidirect
337. #3229	C₂³	semidirect
339. #3228	C₂³	semidirect
342. #3227	C₂³	semidirect
345. #3226	C₂³	semidirect
346. #3216	C₂³	semidirect
347. #3214	C₂³	semidirect
349. #3210	C₂³	semidirect
352. #3209	C₂³	semidirect
355. #3208	C₂³	semidirect
357. #3207	C₂³	semidirect
360. #3206	C₂³	semidirect
363. #3205	C₂³	semidirect
364. #3185	C₂³	semidirect
365. #3185	C₂³	semidirect
366. #3184	C₂³	semidirect
367. #3184	C₂³	semidirect
368. #3182	C₂³	semidirect
369. #3182	C₂³	semidirect
370. #3182	C₂³	semidirect
371. #3182	C₂³	semidirect
380. #3116	C₂³	semidirect
385. #3115	C₂³	semidirect
396. #3078	C₂³	semidirect
397. #3077	C₂³	semidirect
410. #3037	C₂³	semidirect
411. #3036	C₂³	semidirect
450. #1654	C₂³	semidirect
451. #1654	C₂³	semidirect
452. #1653	C₂³	semidirect
453. #1653	C₂³	semidirect
454. #1652	C₂³	semidirect
455. #1652	C₂³	semidirect
456. #1651	C₂³	semidirect
457. #1651	C₂³	semidirect
458. #1650	C₂³	semidirect
459. #1650	C₂³	semidirect
460. #1649	C₂³	semidirect
461. #1649	C₂³	semidirect
462. #1648	C₂³	semidirect
463. #1648	C₂³	semidirect
464. #1647	C₂³	semidirect
465. #1647	C₂³	semidirect
466. #1646	C₂³	semidirect
467. #1646	C₂³	semidirect
468. #1645	C₂³	semidirect
469. #1645	C₂³	semidirect
470. #1644	C₂³	semidirect
471. #1644	C₂³	semidirect
472. #1643	C₂³	semidirect
473. #1643	C₂³	semidirect
474. #1642	C₂³	semidirect
475. #1642	C₂³	semidirect
476. #1641	C₂³	semidirect
477. #1641	C₂³	semidirect
478. #1640	C₂³	semidirect
479. #1640	C₂³	semidirect
480. #1639	C₂³	semidirect
481. #1639	C₂³	semidirect
482. #1638	C₂³	semidirect
483. #1638	C₂³	semidirect
484. #1637	C₂³	semidirect
485. #1637	C₂³	semidirect
486. #1636	C₂³	semidirect
487. #1636	C₂³	semidirect
488. #1635	C₂³	semidirect
489. #1635	C₂³	semidirect
490. #1634	C₂³	semidirect
491. #1633	C₂³	semidirect
492. #1632	C₂³	semidirect
493. #1632	C₂³	semidirect
494. #1631	C₂³	semidirect
495. #1631	C₂³	semidirect
496. #1630	C₂³	semidirect
497. #1629	C₂³	semidirect
498. #1628	C₂³	semidirect
499. #1628	C₂³	semidirect
500. #1627	C₂³	semidirect
501. #1627	C₂³	semidirect
502. #1626	C₂³	semidirect
503. #1626	C₂³	semidirect
504. #1625	C₂³	semidirect
505. #1625	C₂³	semidirect
506. #1624	C₂³	semidirect
507. #1623	C₂³	semidirect
508. #1622	C₂³	semidirect
509. #1622	C₂³	semidirect
510. #1621	C₂³	semidirect
511. #1621	C₂³	semidirect
512. #1620	C₂³	semidirect
513. #1619	C₂³	semidirect
514. #1559	C₂³	semidirect
515. #1559	C₂³	semidirect
516. #1558	C₂³	semidirect
517. #1558	C₂³	semidirect
518. #1557	C₂³	semidirect
519. #1557	C₂³	semidirect
520. #1556	C₂³	semidirect
521. #1556	C₂³	semidirect
522. #1556	C₂³	semidirect
523. #1556	C₂³	semidirect
524. #1555	C₂³	semidirect
525. #1555	C₂³	semidirect
532. #1552	C₂³	semidirect
533. #1552	C₂³	semidirect
536. #1551	C₂³	semidirect
537. #1551	C₂³	semidirect
538. #1550	C₂³	semidirect
539. #1550	C₂³	semidirect
540. #1547	C₂³	semidirect
541. #1547	C₂³	semidirect
550. #1497	C₂³	semidirect
551. #1497	C₂³	semidirect
552. #1496	C₂³	semidirect
553. #1496	C₂³	semidirect
556. #1491	C₂³	semidirect
557. #1491	C₂³	semidirect
558. #1490	C₂³	semidirect
559. #1490	C₂³	semidirect
574. #1483	C₂³	semidirect
575. #1483	C₂³	semidirect
594. #1477	C₂³	semidirect
595. #1477	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#10585995	2
#10575875	2
#10575815	2
C₂×#60546	2
#6349544	2
#6349531	2
#6349478	2
#6349477	2
#6349465	2
#6349464	2
#6349275	2
#6349274	2
#6349262	2
#6349261	2
#6349204	2
#6349203	2
#6349080	2
#6349079	2
#6349078	2
#6349077	2
#6349076	2
#6349075	2
#6349074	2
#6349073	2
#6349015	2
#6348432	2
#6344050	2
#6343023	2
C₂×#17450	2