Subgroups — #72338823

Order 2048.

At least 10592 conjugacy classes of subgroups; only the 4040 normal subgroups are shown.

The subgroup lattice has 1027 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72338817	C₂	1	8	yes	maximal, complemented
2	#72338816	C₂	1	8	yes	maximal, complemented
3	#72338813	C₂	1	8	yes	maximal, complemented
4	#72338808	C₂	1	1	yes	maximal, characteristic, complemented
5	#72338803	C₂	1	8	yes	maximal, complemented
6	#72338800	C₂	1	4	yes	maximal, complemented
7	#72338692	C₂	1	4	yes	maximal, complemented
8	#72338672	C₂	1	1	yes	maximal, characteristic, complemented
9	#72316900	C₂	1	1	yes	maximal, characteristic, complemented
10	#72310588	C₂	1	1	yes	maximal, characteristic, complemented
11	#72302148	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#8195808	C₂	1	1	yes	maximal, characteristic, complemented
13	#72285243	C₂	1	4	yes	maximal, complemented
14	#72285018	C₂	1	4	yes	maximal, complemented
15	#72281567	C₂	1	1	yes	maximal, characteristic, complemented
16	#72231294	C₂	1	4	yes	maximal, complemented
17	#72231195	C₂	1	4	yes	maximal, complemented
18	#10585995	C₂²	1	1	yes	characteristic, complemented
19	#8195808	C₂²	1	4	yes	—
20	#8195808	C₂²	1	4	yes	complemented
21	#8195808	C₂²	1	4	yes	complemented
22	#8195808	C₂²	1	4	yes	complemented
23	C₂×#56384	C₂²	1	4	yes	complemented
24	C₂×#52988	C₂²	1	2	yes	complemented
25	C₂×#45599	C₂²	1	2	yes	complemented
26	C₂×#45355	C₂²	1	2	yes	complemented
27	C₂×#58997	C₂²	1	2	yes	complemented
28	C₂×#35272	C₂²	1	1	yes	characteristic
29	C₂×#34963	C₂²	1	1	yes	characteristic
30	C₂×#34963	C₂²	1	1	yes	characteristic
31	#6496264	C₂²	1	2	yes	complemented
32	#6491480	C₂²	1	4	yes	complemented
33	#6491100	C₂²	1	2	yes	complemented
34	#6489749	C₂²	1	2	yes	complemented
35	#6487648	C₂²	1	2	yes	complemented
36	#6477583	C₂²	1	4	yes	complemented
37	#6454873	C₂²	1	4	yes	complemented
38	#6454041	C₂²	1	4	yes	complemented
39	#6436632	C₂²	1	4	yes	complemented
40	#6370937	C₂²	1	1	yes	characteristic, complemented
41	#6347508	C₂²	1	4	yes	complemented
42	#6347445	C₂²	1	2	yes	complemented
43	#6347443	C₂²	1	2	yes	complemented
44	#6347316	C₂²	1	4	yes	complemented
45	#6347262	C₂²	1	4	yes	complemented
46	#6347158	C₂²	1	4	yes	complemented
47	#6347113	C₂²	1	4	yes	complemented
48	#6346639	C₂²	1	2	yes	complemented
49	#6346637	C₂²	1	2	yes	complemented
50	#6346626	C₂²	1	4	yes	complemented
51	#6346616	C₂²	1	4	yes	complemented
52	#6346608	C₂²	1	2	yes	complemented
53	#6346599	C₂²	1	4	yes	complemented
54	#6346599	C₂²	1	2	yes	complemented
55	#6346505	C₂²	1	4	yes	complemented
56	#6346455	C₂²	1	4	yes	complemented
57	#6346414	C₂²	1	4	yes	complemented
58	#6342561	C₂²	1	1	yes	characteristic, complemented
59	#6342561	C₂²	1	1	yes	characteristic, complemented
60	#488456	C₂²	1	16	yes	complemented
61	#488376	C₂²	1	16	yes	complemented
62	#487963	C₂²	1	16	yes	complemented
63	#487883	C₂²	1	16	yes	complemented
64	#487636	C₂²	1	64	yes	complemented
65	#487561	C₂²	1	32	yes	complemented
66	#487306	C₂²	1	32	yes	complemented
67	#486935	C₂²	1	32	yes	complemented
68	#486807	C₂²	1	32	yes	complemented
69	#486593	C₂²	1	16	yes	complemented
70	#486513	C₂²	1	16	yes	complemented
71	#486347	C₂²	1	16	yes	complemented
72	#486243	C₂²	1	16	yes	complemented
73	#486019	C₂²	1	32	yes	complemented
74	#485901	C₂²	1	32	yes	complemented
75	#485383	C₂²	1	16	yes	complemented
76	#485315	C₂²	1	16	yes	complemented
77	#485122	C₂²	1	16	yes	complemented
78	#485039	C₂²	1	16	yes	complemented
79	#482633	C₂²	1	4	yes	complemented
80	#482550	C₂²	1	4	yes	complemented
81	#482471	C₂²	1	4	yes	complemented
82	#482424	C₂²	1	2	yes	complemented
83	#482375	C₂²	1	4	yes	complemented
84	#482369	C₂²	1	4	yes	complemented
85	#482363	C₂²	1	4	yes	complemented
86	#482357	C₂²	1	4	yes	complemented
87	#482357	C₂²	1	2	yes	complemented
88	#482234	C₂²	1	4	yes	complemented
89	#482051	C₂²	1	4	yes	complemented
90	#481950	C₂²	1	4	yes	complemented
91	#481821	C₂²	1	4	yes	complemented
92	#481732	C₂²	1	4	yes	complemented
93	#481603	C₂²	1	4	yes	complemented
94	#480787	C₂²	1	4	yes	complemented
95	#480784	C₂²	1	4	yes	complemented
96	#480760	C₂²	1	2	yes	complemented
97	#480708	C₂²	1	2	yes	complemented
98	#480658	C₂²	1	4	yes	complemented
99	#480583	C₂²	1	4	yes	complemented
100	#480580	C₂²	1	4	yes	complemented
101	#480376	C₂²	1	4	yes	complemented
102	#62814	C₂³	1	2	yes	—
103	#62813	C₂³	1	1	yes	characteristic, complemented
104	#62812	C₂³	1	1	yes	characteristic, complemented
105	#62781	C₂³	1	2	yes	complemented
106	#62781	C₂³	1	2	yes	complemented
107	#62773	C₂³	1	2	yes	—
108	#62773	C₂³	1	2	yes	—
109	#62686	C₂³	1	2	yes	complemented
110	C₂³×#127	D₄	1	1	yes	characteristic, complemented
111	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
112	C₂³×C₄×D₄	D₄	1	1	yes	characteristic
113	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
114	#58997	C₂³	1	8	yes	—
115	#58997	C₂³	1	8	yes	—
116	#56384	C₂³	1	16	yes	—
117	#56384	C₂³	1	16	yes	—
118	#52988	C₂³	1	8	yes	—
119	#52988	C₂³	1	8	yes	—
120	C₂×#2675	C₂³	1	4	yes	—
121	C₂×#2668	C₂³	1	4	yes	—
122	#45599	C₂³	1	8	yes	—
123	#45599	C₂³	1	8	yes	—
124	#45355	C₂³	1	8	yes	—
125	#45355	C₂³	1	8	yes	—
126	C₂×#2826	C₂³	1	4	yes	—
127	#35272	D₄	1	2	yes	complemented
128	#35272	D₄	1	2	yes	complemented
129	#35272	D₄	1	2	yes	complemented
130	#35272	D₄	1	2	yes	complemented
131	#35272	C₂³	1	2	yes	—
132	#35272	C₂³	1	2	yes	—
133	#35272	C₂³	1	2	yes	—
134	#35272	C₂³	1	2	yes	—
135	#34963	D₄	1	2	yes	—
136	#34963	D₄	1	2	yes	—
137	#34963	D₄	1	2	yes	—
138	#34963	D₄	1	2	yes	—
139	#34963	D₄	1	2	yes	complemented
140	#34963	D₄	1	2	yes	complemented
141	#34963	D₄	1	2	yes	complemented
142	#34963	D₄	1	2	yes	complemented
143	#34963	C₂³	1	2	yes	—
144	#34963	C₂³	1	2	yes	—
145	#34963	C₂³	1	2	yes	—
146	#34963	C₂³	1	2	yes	—
147	#34963	C₂³	1	2	yes	—
148	#34963	C₂³	1	2	yes	—
149	#34963	C₂³	1	2	yes	—
150	#34963	C₂³	1	2	yes	—
151	C₂×#2548	D₄	1	2	yes	complemented
152	C₂×#2541	C₂³	1	2	yes	—
153	C₂×#2598	D₄	1	2	yes	complemented
154	C₂×#2598	C₂³	1	2	yes	—
155	C₂×#2482	C₂³	1	2	yes	—
156	C₂×#2487	D₄	1	1	yes	characteristic
157	C₂×#2487	D₄	1	1	yes	characteristic, complemented
158	C₂×#2487	C₂³	1	1	yes	characteristic
159	C₂×#2487	C₂³	1	1	yes	characteristic
160	C₂×#2404	D₄	1	2	yes	—
161	C₂×#2408	D₄	1	1	yes	characteristic
162	C₂×#2408	D₄	1	2	yes	complemented
163	C₂×#2408	D₄	1	1	yes	characteristic, complemented
164	C₂×#2408	C₂³	1	1	yes	characteristic
165	C₂×#2408	C₂³	1	2	yes	—
166	C₂×#2408	C₂³	1	1	yes	characteristic
167	C₂×#2403	C₂³	1	4	yes	—
168	C₂×#2619	D₄	1	2	yes	complemented
169	C₂×#2619	C₂³	1	2	yes	—
170	C₂×#2398	D₄	1	2	yes	complemented
171	C₂×#2397	C₂³	1	2	yes	—
172	C₂×C₄×#120	D₄	1	2	yes	—
173	C₂×C₄×#120	C₂³	1	2	yes	—
174	C₂×#2285	D₄	1	1	yes	characteristic, complemented
175	C₂×#2283	D₄	1	1	yes	characteristic
176	C₂×#2283	D₄	1	1	yes	characteristic, complemented
177	#29710	C₂³	1	8	yes	complemented
178	#29684	C₂³	1	8	yes	complemented
179	#29658	C₂³	1	8	yes	complemented
180	#29636	C₂³	1	8	yes	complemented
181	#25947	C₂³	1	4	yes	complemented
182	#25900	C₂³	1	4	yes	complemented
183	#25853	C₂³	1	4	yes	complemented
184	#25771	C₂³	1	4	yes	complemented
185	#25564	C₂³	1	16	yes	complemented
186	#24350	C₂³	1	8	yes	complemented
187	#24260	C₂³	1	8	yes	complemented
188	#24112	C₂³	1	8	yes	—
189	#23984	C₂³	1	8	yes	—
190	#23595	C₂³	1	16	yes	complemented
191	#20723	C₂³	1	2	yes	complemented
192	#20723	C₂³	1	2	yes	complemented
193	#20722	C₂³	1	2	yes	—
194	#20722	C₂³	1	2	yes	—
195	#20688	C₂³	1	2	yes	—
196	#20632	C₂³	1	2	yes	complemented
197	C₄×#410	C₂³	1	2	yes	complemented
198	#18389	C₂³	1	8	yes	complemented
199	#18387	C₂³	1	8	yes	complemented
200	#18356	C₂³	1	16	yes	complemented
201	#18335	C₂³	1	16	yes	complemented
202	#18302	C₂³	1	8	yes	complemented
203	#18300	C₂³	1	8	yes	complemented
204	#18208	C₂³	1	16	yes	complemented
205	#18205	C₂³	1	4	yes	complemented
206	#18203	C₂³	1	4	yes	complemented
207	#18196	C₂³	1	8	yes	complemented
208	#18196	C₂³	1	4	yes	complemented
209	#18194	C₂³	1	4	yes	complemented
210	#18194	C₂³	1	8	yes	complemented
211	#18180	C₂³	1	8	yes	complemented
212	#18178	C₂³	1	8	yes	complemented
213	#18170	C₂³	1	8	yes	—
214	#18162	C₂³	1	16	yes	—
215	#18162	C₂³	1	8	yes	—
216	#18154	C₂³	1	8	yes	complemented
217	#18152	C₂³	1	8	yes	complemented
218	#18141	C₂³	1	8	yes	complemented
219	#18135	C₂³	1	8	yes	complemented
220	#18135	C₂³	1	16	yes	complemented
221	#18128	C₂³	1	16	yes	complemented
222	#17366	C₂³	1	2	yes	complemented
223	#17366	C₂³	1	2	yes	complemented
224	#17364	C₂³	1	2	yes	—
225	#17364	C₂³	1	2	yes	—
226	#17363	C₂³	1	2	yes	complemented
227	#17363	C₂³	1	2	yes	complemented
228	#17362	C₂³	1	2	yes	—
229	#17362	C₂³	1	2	yes	—
230	#17361	C₂³	1	2	yes	complemented
231	#17361	C₂³	1	2	yes	complemented
232	#17357	C₂³	1	2	yes	—
233	#17357	C₂³	1	2	yes	—
234	#17349	C₂³	1	2	yes	complemented
235	#17349	C₂³	1	2	yes	complemented
236	#12262	C₂³	1	64	yes	complemented
237	#12242	C₂³	1	64	yes	complemented
238	#12231	C₂³	1	64	yes	complemented
239	#12202	C₂³	1	64	yes	complemented
240	#12186	C₂³	1	64	yes	complemented
241	#12148	C₂³	1	64	yes	complemented
242	#12137	C₂³	1	64	yes	complemented
243	#12090	C₂³	1	64	yes	complemented
244	#11899	C₂³	1	8	yes	complemented
245	#11877	C₂³	1	16	yes	complemented
246	#11873	C₂³	1	16	yes	complemented
247	#11873	C₂³	1	8	yes	complemented
248	#11840	C₂³	1	16	yes	complemented
249	#11821	C₂³	1	16	yes	complemented
250	#11809	C₂³	1	8	yes	—
251	#11800	C₂³	1	16	yes	complemented
252	#11796	C₂³	1	16	yes	—
253	#11796	C₂³	1	8	yes	—
254	#11786	C₂³	1	8	yes	complemented
255	#11776	C₂³	1	16	yes	complemented
256	#11772	C₂³	1	16	yes	complemented
257	#11772	C₂³	1	8	yes	complemented
258	#11754	C₂³	1	16	yes	complemented
259	#11726	C₂³	1	16	yes	complemented
260	#11693	C₂³	1	16	yes	complemented
261	#11579	C₂³	1	8	yes	complemented
262	#11576	C₂³	1	8	yes	complemented
263	#11561	C₂³	1	8	yes	complemented
264	#11557	C₂³	1	8	yes	complemented
265	#11546	C₂³	1	16	yes	complemented
266	#11542	C₂³	1	16	yes	complemented
267	#11525	C₂³	1	16	yes	complemented
268	#11517	C₂³	1	8	yes	—
269	#11499	C₂³	1	8	yes	—
270	#11471	C₂³	1	16	yes	complemented
271	C₂³×#41	C₂×D₄	1	1	yes	characteristic
272	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
273	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
274	C₂⁴×D₄	C₂×D₄	1	2	yes	—
275	C₂⁵×C₄	C₂×D₄	1	2	yes	—
276	#3501	C₂⁴	1	2	yes	—
277	#3501	C₂⁴	1	2	yes	—
278	#3496	C₂⁴	1	2	yes	—
279	#3496	C₂⁴	1	2	yes	—
280	#3491	C₂⁴	1	4	yes	—
281	#3490	C₂⁴	1	4	yes	—
282	#3459	C₂⁴	1	4	yes	—
283	#3459	C₂⁴	1	4	yes	—
284	#3458	C₂⁴	1	2	yes	—
285	#3449	C₂⁴	1	2	yes	—
286	C₂²×#127	C₂×D₄	1	2	yes	—
287	C₂²×#127	C₂×D₄	1	2	yes	—
288	C₂²×#127	C₂×D₄	1	2	yes	—
289	C₂²×#127	C₂×D₄	1	2	yes	—
290	C₂²×#127	C₂×D₄	1	2	yes	—
291	C₂²×#127	C₂×D₄	1	2	yes	—
292	C₂²×#120	C₂×D₄	1	2	yes	—
293	C₂²×#120	C₂×D₄	1	2	yes	—
294	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
295	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
296	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
297	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
298	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
299	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
300	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
301	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
302	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
303	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
304	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
305	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
306	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
307	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
308	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
309	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
311	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
312	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
313	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
314	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
315	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
316	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
317	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
318	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
319	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
320	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
321	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
322	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
323	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
324	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
325	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
326	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
328	C₂²×#117	C₂×D₄	1	1	yes	characteristic
329	C₂²×#117	C₂×D₄	1	1	yes	characteristic
330	C₂²×#117	C₂⁴	1	1	yes	characteristic
331	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
332	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
333	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
334	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
335	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
336	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
337	#2826	C₂⁴	1	16	yes	—
338	#2675	C₂⁴	1	16	yes	—
339	#2668	C₂⁴	1	16	yes	—
340	#2619	C₂×D₄	1	4	yes	—
341	#2619	C₂×D₄	1	4	yes	—
342	#2619	C₂×D₄	1	4	yes	—
343	#2619	C₂×D₄	1	4	yes	—
344	#2619	C₂×D₄	1	4	yes	—
345	#2619	C₂×D₄	1	4	yes	—
346	#2619	C₂⁴	1	4	yes	—
347	#2619	C₂⁴	1	4	yes	—
348	#2598	C₂×D₄	1	4	yes	—
349	#2598	C₂×D₄	1	4	yes	—
350	#2598	C₂×D₄	1	4	yes	—
351	#2598	C₂×D₄	1	4	yes	—
352	#2598	C₂×D₄	1	4	yes	—
353	#2598	C₂×D₄	1	4	yes	—
354	#2598	C₂⁴	1	4	yes	—
355	#2598	C₂⁴	1	4	yes	—
356	#2548	C₂×D₄	1	4	yes	—
357	#2548	C₂×D₄	1	4	yes	—
358	#2548	C₂×D₄	1	4	yes	—
359	#2548	C₂×D₄	1	4	yes	—
360	#2541	C₂×D₄	1	4	yes	—
361	#2541	C₂×D₄	1	4	yes	—
362	#2541	C₂⁴	1	4	yes	—
363	#2541	C₂⁴	1	4	yes	—
364	#2487	C₂×D₄	1	2	yes	—
365	#2487	C₂×D₄	1	2	yes	—
366	#2487	C₂×D₄	1	2	yes	—
367	#2487	C₂×D₄	1	2	yes	—
368	#2487	C₂×D₄	1	2	yes	—
369	#2487	C₂×D₄	1	2	yes	—
370	#2487	C₂×D₄	1	2	yes	—
371	#2487	C₂×D₄	1	2	yes	—
372	#2487	C₂×D₄	1	2	yes	—
373	#2487	C₂×D₄	1	2	yes	—
374	#2487	C₂×D₄	1	2	yes	—
375	#2487	C₂×D₄	1	2	yes	—
376	#2487	C₂⁴	1	2	yes	—
377	#2487	C₂⁴	1	2	yes	—
378	#2487	C₂⁴	1	2	yes	—
379	#2487	C₂⁴	1	2	yes	—
380	#2482	C₂×D₄	1	4	yes	—
381	#2482	C₂×D₄	1	4	yes	—
382	#2482	C₂⁴	1	4	yes	—
383	#2482	C₂⁴	1	4	yes	—
384	#2408	C₂×D₄	1	2	yes	—
385	#2408	C₂×D₄	1	4	yes	—
386	#2408	C₂×D₄	1	2	yes	—
387	#2408	C₂×D₄	1	4	yes	—
388	#2408	C₂×D₄	1	4	yes	—
389	#2408	C₂×D₄	1	2	yes	—
390	#2408	C₂×D₄	1	2	yes	—
391	#2408	C₂×D₄	1	2	yes	—
392	#2408	C₂×D₄	1	4	yes	—
393	#2408	C₂×D₄	1	4	yes	—
394	#2408	C₂×D₄	1	4	yes	—
395	#2408	C₂×D₄	1	2	yes	—
396	#2408	C₂×D₄	1	2	yes	—
397	#2408	C₂×D₄	1	2	yes	—
398	#2408	C₂×D₄	1	2	yes	—
399	#2408	C₂×D₄	1	2	yes	—
400	#2408	C₂×D₄	1	2	yes	—
401	#2408	C₂×D₄	1	2	yes	—
402	#2408	C₂⁴	1	4	yes	—
403	#2408	C₂⁴	1	2	yes	—
404	#2408	C₂⁴	1	4	yes	—
405	#2408	C₂⁴	1	2	yes	—
406	#2408	C₂⁴	1	2	yes	—
407	#2408	C₂⁴	1	2	yes	—
408	#2404	C₂×D₄	1	4	yes	—
409	#2404	C₂×D₄	1	4	yes	—
410	#2404	C₂×D₄	1	4	yes	—
411	#2404	C₂×D₄	1	4	yes	—
412	#2403	C₂⁴	1	16	yes	—
413	#2398	C₂×D₄	1	4	yes	—
414	#2398	C₂×D₄	1	4	yes	—
415	#2398	C₂×D₄	1	4	yes	—
416	#2398	C₂×D₄	1	4	yes	—
417	#2397	C₂×D₄	1	4	yes	—
418	#2397	C₂×D₄	1	4	yes	—
419	#2397	C₂⁴	1	4	yes	—
420	#2397	C₂⁴	1	4	yes	—
421	C₂×#400	C₂×D₄	1	2	yes	—
422	C₂×#400	C₂×D₄	1	2	yes	—
423	C₂×#399	C₂×D₄	1	2	yes	—
424	C₂×#399	C₂⁴	1	2	yes	—
425	C₂×#394	C₂×D₄	1	2	yes	—
426	C₂×#394	C₂×D₄	1	2	yes	—
427	C₂×#394	C₂×D₄	1	4	yes	—
428	C₂×#394	C₂×D₄	1	4	yes	—
429	C₂×#392	C₂×D₄	1	2	yes	—
430	C₂×#392	C₂×D₄	1	4	yes	—
431	C₂×#392	C₂⁴	1	2	yes	—
432	C₂×#392	C₂⁴	1	4	yes	—
433	C₄×#120	C₂×D₄	1	4	yes	—
434	C₄×#120	C₂×D₄	1	4	yes	—
435	C₄×#120	C₂×D₄	1	4	yes	—
436	C₄×#120	C₂×D₄	1	4	yes	—
437	C₄×#120	C₂×D₄	1	4	yes	—
438	C₄×#120	C₂×D₄	1	4	yes	—
439	C₄×#120	C₂⁴	1	4	yes	—
440	C₄×#120	C₂⁴	1	4	yes	—
441	C₂×#386	C₂×D₄	1	2	yes	—
442	C₂×#386	C₂×D₄	1	2	yes	—
443	C₂×#385	C₂×D₄	1	2	yes	—
444	C₂×#385	C₂⁴	1	2	yes	—
445	#2285	C₂×D₄	1	2	yes	—
446	#2285	C₂×D₄	1	2	yes	—
447	#2285	C₂×D₄	1	2	yes	—
448	#2285	C₂×D₄	1	2	yes	—
449	#2283	C₂×D₄	1	2	yes	—
450	#2283	C₂×D₄	1	2	yes	—
451	#2283	C₂×D₄	1	2	yes	—
452	#2283	C₂×D₄	1	2	yes	—
453	#2283	C₂×D₄	1	2	yes	—
454	#2283	C₂×D₄	1	2	yes	—
455	#2283	C₂×D₄	1	2	yes	—
456	#2283	C₂×D₄	1	2	yes	—
457	C₂×#383	C₂×D₄	1	2	yes	—
458	C₂×#382	C₂×D₄	1	2	yes	—
459	C₂×#381	C₂×D₄	1	2	yes	—
460	C₂×#380	C₂×D₄	1	1	yes	characteristic
461	C₂×#380	C₂×D₄	1	2	yes	—
462	C₂×#380	C₂×D₄	1	1	yes	characteristic
463	C₂×#380	C₂×D₄	1	1	yes	characteristic
464	C₂×#380	C₂×D₄	1	1	yes	characteristic
465	C₂×#379	C₂×D₄	1	2	yes	—
466	C₂×#379	C₂⁴	1	2	yes	—
467	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
468	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
469	C₂×#376	C₂×D₄	1	2	yes	—
470	#2062	C₂⁴	1	16	yes	—
471	#2044	C₂⁴	1	16	yes	—
472	#2029	C₂⁴	1	16	yes	—
473	#2021	C₂⁴	1	16	yes	—
474	#1820	C₂⁴	1	4	yes	—
475	#1819	C₂⁴	1	4	yes	—
476	#1799	C₂⁴	1	4	yes	—
477	#1799	C₂⁴	1	4	yes	—
478	C₄×#99	C₂⁴	1	4	yes	—
479	C₄×#99	C₂⁴	1	4	yes	—
480	#1740	C₂⁴	1	4	yes	—
481	#1614	C₂⁴	1	16	yes	—
482	#1613	C₂⁴	1	16	yes	—
483	#1596	C₂⁴	1	16	yes	—
484	#1596	C₂⁴	1	32	yes	—
485	#1595	C₂⁴	1	16	yes	—
486	#1595	C₂⁴	1	32	yes	—
487	#1466	C₂⁴	1	4	yes	—
488	#1466	C₂⁴	1	4	yes	—
489	#1465	C₂⁴	1	4	yes	—
490	#1465	C₂⁴	1	4	yes	—
491	#1464	C₂⁴	1	4	yes	—
492	#1464	C₂⁴	1	4	yes	—
493	#1462	C₂⁴	1	4	yes	—
494	#1462	C₂⁴	1	4	yes	—
495	#1460	C₂⁴	1	4	yes	—
496	#1460	C₂⁴	1	4	yes	—
497	#1459	C₂⁴	1	4	yes	—
498	#1459	C₂⁴	1	4	yes	—
499	#1458	C₂⁴	1	4	yes	—
500	#1458	C₂⁴	1	4	yes	—
501	#1352	C₂⁴	1	32	yes	—
502	#1343	C₂⁴	1	64	yes	—
503	#1343	C₂⁴	1	32	yes	—
504	#1326	C₂⁴	1	32	yes	—
505	#1316	C₂⁴	1	32	yes	—
506	C₂⁶	C₂²×D₄	1	2	yes	—
507	C₂²×#41	#120	1	1	yes	characteristic
508	C₂²×#41	#120	1	1	yes	characteristic
509	C₂²×#41	#120	1	1	yes	characteristic
510	C₂²×#41	#120	1	1	yes	characteristic
511	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
512	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
513	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
514	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
515	C₂³×Q₈	#120	1	1	yes	characteristic
516	C₂³×D₄	#120	1	1	yes	characteristic
517	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
518	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
519	C₂³×D₄	C₂²×D₄	1	2	yes	—
520	C₂³×D₄	C₂²×D₄	1	2	yes	—
521	C₂³×D₄	C₂²×D₄	1	2	yes	—
522	C₂³×D₄	C₂²×D₄	1	2	yes	—
523	C₂³×D₄	C₂²×D₄	1	2	yes	—
524	C₂³×D₄	C₂²×D₄	1	4	yes	—
525	C₂³×D₄	C₂²×D₄	1	4	yes	—
526	C₂³×D₄	C₂²×D₄	1	4	yes	—
527	C₂⁴×C₄	#120	1	1	yes	characteristic
528	C₂⁴×C₄	#120	1	1	yes	characteristic
529	C₂⁴×C₄	#120	1	1	yes	characteristic
530	C₂⁴×C₄	#120	1	1	yes	characteristic
531	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
532	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
533	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
534	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
535	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
536	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
537	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
538	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
539	#543	C₂⁵	1	4	yes	—
540	#534	C₂⁵	1	4	yes	—
541	C₂×#127	C₂²×D₄	1	4	yes	—
542	C₂×#127	C₂²×D₄	1	4	yes	—
543	C₂×#127	C₂²×D₄	1	4	yes	—
544	C₂×#127	C₂²×D₄	1	4	yes	—
545	C₂×#120	C₂²×D₄	1	4	yes	—
546	C₂×#120	C₂²×D₄	1	4	yes	—
547	C₂×#120	C₂²×D₄	1	4	yes	—
548	C₂×#120	C₂²×D₄	1	4	yes	—
549	C₂×C₄×Q₈	#120	1	1	yes	characteristic
550	C₂×C₄×Q₈	#120	1	1	yes	characteristic
551	C₂×C₄×Q₈	#120	1	1	yes	characteristic
552	C₂×C₄×Q₈	#120	1	1	yes	characteristic
553	C₂×C₄×Q₈	#120	1	1	yes	characteristic
554	C₂×C₄×Q₈	#120	1	1	yes	characteristic
555	C₂×C₄×Q₈	#120	1	1	yes	characteristic
556	C₂×C₄×Q₈	#120	1	1	yes	characteristic
557	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
559	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
560	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
561	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
564	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×D₄	#120	1	1	yes	characteristic
566	C₂×C₄×D₄	#120	1	1	yes	characteristic
567	C₂×C₄×D₄	#120	1	1	yes	characteristic
568	C₂×C₄×D₄	#120	1	1	yes	characteristic
569	C₂×C₄×D₄	#120	1	1	yes	characteristic
570	C₂×C₄×D₄	#120	1	1	yes	characteristic
571	C₂×C₄×D₄	#120	1	1	yes	characteristic
572	C₂×C₄×D₄	#120	1	1	yes	characteristic
573	C₂×C₄×D₄	#120	1	1	yes	characteristic
574	C₂×C₄×D₄	#120	1	1	yes	characteristic
575	C₂×C₄×D₄	#120	1	1	yes	characteristic
576	C₂×C₄×D₄	#120	1	1	yes	characteristic
577	C₂×C₄×D₄	#120	1	1	yes	characteristic
578	C₂×C₄×D₄	#120	1	1	yes	characteristic
579	C₂×C₄×D₄	#120	1	1	yes	characteristic
580	C₂×C₄×D₄	#120	1	1	yes	characteristic
581	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
584	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
585	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
586	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
587	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
588	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
589	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
590	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
591	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
592	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
593	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
594	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
595	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
596	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
597	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
598	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
599	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
600	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
601	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
602	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
604	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
605	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
606	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
607	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
608	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
609	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
610	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
611	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
612	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
613	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
614	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
615	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
616	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
617	C₂×#117	#120	1	1	yes	characteristic
618	C₂×#117	#120	1	1	yes	characteristic
619	C₂×#117	#120	1	1	yes	characteristic
620	C₂×#117	#120	1	1	yes	characteristic
621	C₂×#117	#120	1	1	yes	characteristic
622	C₂×#117	#120	1	1	yes	characteristic
623	C₂×#117	#120	1	1	yes	characteristic
624	C₂×#117	#120	1	1	yes	characteristic
625	C₂×#117	C₂²×D₄	1	1	yes	characteristic
626	C₂×#117	C₂²×D₄	1	1	yes	characteristic
627	C₂×#117	C₂²×D₄	1	1	yes	characteristic
628	C₂×#117	C₂²×D₄	1	1	yes	characteristic
629	C₂×#117	C₂²×D₄	1	1	yes	characteristic
630	C₂×#117	C₂²×D₄	1	1	yes	characteristic
631	C₂×#117	C₂²×D₄	1	1	yes	characteristic
632	C₂×#117	C₂²×D₄	1	1	yes	characteristic
633	C₂×#117	C₂²×D₄	1	1	yes	characteristic
634	C₂×#117	C₂²×D₄	1	1	yes	characteristic
635	C₂×#117	C₂²×D₄	1	1	yes	characteristic
636	C₂×#117	C₂²×D₄	1	1	yes	characteristic
637	C₂×#117	C₂²×D₄	1	1	yes	characteristic
638	C₂×#117	C₂²×D₄	1	1	yes	characteristic
639	C₂×#117	C₂⁵	1	1	yes	characteristic
640	C₂×#117	C₂⁵	1	1	yes	characteristic
641	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
642	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
643	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
644	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
645	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
646	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
647	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
648	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
649	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
650	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
651	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
652	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
653	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
654	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
655	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
656	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
657	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
658	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
659	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
660	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
661	C₂²×C₂²⋊C₄	C₂⁵	1	1	yes	characteristic
662	C₂²×C₄²	#120	1	1	yes	characteristic
663	C₂²×C₄²	#120	1	1	yes	characteristic
664	C₂²×C₄²	#120	1	1	yes	characteristic
665	C₂²×C₄²	#120	1	1	yes	characteristic
666	C₂²×C₄²	#120	1	1	yes	characteristic
667	C₂²×C₄²	#120	1	1	yes	characteristic
668	C₂²×C₄²	#120	1	1	yes	characteristic
669	C₂²×C₄²	#120	1	1	yes	characteristic
670	C₂²×C₄²	#120	1	1	yes	characteristic
671	C₂²×C₄²	#120	1	1	yes	characteristic
672	C₂²×C₄²	#120	1	1	yes	characteristic
673	C₂²×C₄²	#120	1	1	yes	characteristic
674	C₂²×C₄²	#120	1	1	yes	characteristic
675	C₂²×C₄²	#120	1	1	yes	characteristic
676	C₂²×C₄²	#120	1	1	yes	characteristic
677	C₂²×C₄²	#120	1	1	yes	characteristic
678	C₂²×C₄²	#120	1	1	yes	characteristic
679	C₂²×C₄²	#120	1	1	yes	characteristic
680	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
681	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
682	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
683	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
684	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
685	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
686	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
687	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
688	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
689	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
690	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
691	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
692	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
693	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
694	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
695	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
696	#400	C₂²×D₄	1	4	yes	—
697	#400	C₂²×D₄	1	4	yes	—
698	#400	C₂²×D₄	1	4	yes	—
699	#400	C₂²×D₄	1	4	yes	—
700	#399	C₂²×D₄	1	4	yes	—
701	#399	C₂²×D₄	1	4	yes	—
702	#399	C₂²×D₄	1	4	yes	—
703	#399	C₂⁵	1	4	yes	—
704	#394	C₂²×D₄	1	8	yes	—
705	#394	C₂²×D₄	1	8	yes	—
706	#394	C₂²×D₄	1	4	yes	—
707	#394	C₂²×D₄	1	4	yes	—
708	#394	C₂²×D₄	1	4	yes	—
709	#394	C₂²×D₄	1	4	yes	—
710	#394	C₂²×D₄	1	8	yes	—
711	#394	C₂²×D₄	1	8	yes	—
712	#392	C₂²×D₄	1	8	yes	—
713	#392	C₂²×D₄	1	4	yes	—
714	#392	C₂²×D₄	1	4	yes	—
715	#392	C₂²×D₄	1	4	yes	—
716	#392	C₂²×D₄	1	8	yes	—
717	#392	C₂²×D₄	1	8	yes	—
718	#392	C₂⁵	1	8	yes	—
719	#392	C₂⁵	1	4	yes	—
720	#386	C₂²×D₄	1	4	yes	—
721	#386	C₂²×D₄	1	4	yes	—
722	#386	C₂²×D₄	1	4	yes	—
723	#386	C₂²×D₄	1	4	yes	—
724	#385	C₂²×D₄	1	4	yes	—
725	#385	C₂²×D₄	1	4	yes	—
726	#385	C₂²×D₄	1	4	yes	—
727	#385	C₂⁵	1	4	yes	—
728	#383	C₂²×D₄	1	4	yes	—
729	#383	C₂²×D₄	1	4	yes	—
730	#382	C₂²×D₄	1	4	yes	—
731	#382	C₂²×D₄	1	4	yes	—
732	#381	C₂²×D₄	1	4	yes	—
733	#381	C₂²×D₄	1	4	yes	—
734	#380	C₂²×D₄	1	2	yes	—
735	#380	C₂²×D₄	1	2	yes	—
736	#380	C₂²×D₄	1	2	yes	—
737	#380	C₂²×D₄	1	2	yes	—
738	#380	C₂²×D₄	1	4	yes	—
739	#380	C₂²×D₄	1	4	yes	—
740	#380	C₂²×D₄	1	2	yes	—
741	#380	C₂²×D₄	1	2	yes	—
742	#380	C₂²×D₄	1	2	yes	—
743	#380	C₂²×D₄	1	2	yes	—
744	#379	C₂²×D₄	1	4	yes	—
745	#379	C₂²×D₄	1	4	yes	—
746	#379	C₂²×D₄	1	4	yes	—
747	#379	C₂⁵	1	4	yes	—
748	C₄×C₄⋊C₄	C₂²×D₄	1	4	yes	—
749	C₄×C₄⋊C₄	C₂²×D₄	1	4	yes	—
750	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
751	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
752	#376	C₂²×D₄	1	4	yes	—
753	#376	C₂²×D₄	1	4	yes	—
754	C₂×#95	C₂²×D₄	1	4	yes	—
755	C₂×#95	C₂²×D₄	1	2	yes	—
756	C₂×#95	C₂²×D₄	1	2	yes	—
757	#342	C₂⁵	1	8	yes	—
758	#323	C₂⁵	1	8	yes	—
759	#323	C₂⁵	1	8	yes	—
760	C₂⁵	C₂×#120	1	1	yes	characteristic
761	C₂⁵	C₂×#120	1	1	yes	characteristic
762	C₂⁵	C₂³×D₄	1	1	yes	characteristic
763	C₂⁵	C₂³×D₄	1	4	yes	—
764	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
765	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
766	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
767	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
768	C₂²×D₄	C₂×#120	1	1	yes	characteristic
769	C₂²×D₄	C₂×#120	1	1	yes	characteristic
770	C₂²×D₄	C₂×#120	1	1	yes	characteristic
771	C₂²×D₄	C₂×#120	1	1	yes	characteristic
772	C₂²×D₄	C₂×#120	1	1	yes	characteristic
773	C₂²×D₄	C₂×#120	1	1	yes	characteristic
774	C₂²×D₄	C₂×#120	1	1	yes	characteristic
775	C₂²×D₄	C₂×#120	1	1	yes	characteristic
776	C₂²×D₄	C₂³×D₄	1	4	yes	—
777	C₂²×D₄	C₂³×D₄	1	8	yes	—
778	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
779	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
780	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
781	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
782	C₂³×C₄	C₂×#120	1	1	yes	characteristic
783	C₂³×C₄	C₂×#120	1	1	yes	characteristic
784	C₂³×C₄	C₂×#120	1	1	yes	characteristic
785	C₂³×C₄	C₂×#120	1	1	yes	characteristic
786	C₂³×C₄	C₂×#120	1	1	yes	characteristic
787	C₂³×C₄	C₂×#120	1	1	yes	characteristic
788	C₂³×C₄	C₂×#120	1	1	yes	characteristic
789	C₂³×C₄	C₂×#120	1	1	yes	characteristic
790	C₂³×C₄	C₂×#120	1	1	yes	characteristic
791	C₂³×C₄	C₂×#120	1	1	yes	characteristic
792	C₂³×C₄	C₂×#120	1	1	yes	characteristic
793	C₂³×C₄	C₂×#120	1	1	yes	characteristic
794	C₂³×C₄	C₂×#120	1	1	yes	characteristic
795	C₂³×C₄	C₂×#120	1	1	yes	characteristic
796	C₂³×C₄	C₂×#120	1	1	yes	characteristic
797	C₂³×C₄	C₂×#120	1	1	yes	characteristic
798	C₂³×C₄	C₂×#120	1	1	yes	characteristic
799	C₂³×C₄	C₂×#120	1	1	yes	characteristic
800	C₂³×C₄	C₂×#120	1	1	yes	characteristic
801	C₂³×C₄	C₂×#120	1	1	yes	characteristic
802	C₂³×C₄	C₂×#120	1	1	yes	characteristic
803	C₂³×C₄	C₂×#120	1	1	yes	characteristic
804	C₂³×C₄	C₂×#120	1	1	yes	characteristic
805	C₂³×C₄	C₂×#120	1	1	yes	characteristic
806	C₂³×C₄	C₂×#120	1	1	yes	characteristic
807	C₂³×C₄	C₂×#120	1	1	yes	characteristic
808	C₂³×C₄	C₂×#120	1	1	yes	characteristic
809	C₂³×C₄	C₂×#120	1	1	yes	characteristic
810	C₂³×C₄	C₂×#120	1	1	yes	characteristic
811	C₂³×C₄	C₂×#120	1	1	yes	characteristic
812	C₂³×C₄	C₂×#120	1	1	yes	characteristic
813	C₂³×C₄	C₂×#120	1	1	yes	characteristic
814	C₂³×C₄	C₂×#120	1	1	yes	characteristic
815	C₂³×C₄	C₂×#120	1	1	yes	characteristic
816	C₂³×C₄	C₂×#120	1	1	yes	characteristic
817	C₂³×C₄	C₂×#120	1	1	yes	characteristic
818	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
819	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
820	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
821	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
822	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
823	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
824	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
825	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
826	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
827	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
828	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
829	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
830	C₂³×C₄	C₂³×D₄	1	4	yes	—
831	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
848	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
856	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
870	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂⁶	1	1	yes	characteristic
882	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
883	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
884	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
885	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
886	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
887	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
888	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
889	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
890	C₂×C₄²	C₂×#120	1	1	yes	characteristic
891	C₂×C₄²	C₂×#120	1	1	yes	characteristic
892	C₂×C₄²	C₂×#120	1	1	yes	characteristic
893	C₂×C₄²	C₂×#120	1	1	yes	characteristic
894	C₂×C₄²	C₂×#120	1	1	yes	characteristic
895	C₂×C₄²	C₂×#120	1	1	yes	characteristic
896	C₂×C₄²	C₂×#120	1	1	yes	characteristic
897	C₂×C₄²	C₂×#120	1	1	yes	characteristic
898	C₂×C₄²	C₂×#120	1	1	yes	characteristic
899	C₂×C₄²	C₂×#120	1	1	yes	characteristic
900	C₂×C₄²	C₂×#120	1	1	yes	characteristic
901	C₂×C₄²	C₂×#120	1	1	yes	characteristic
902	C₂×C₄²	C₂×#120	1	1	yes	characteristic
903	C₂×C₄²	C₂×#120	1	1	yes	characteristic
904	C₂×C₄²	C₂×#120	1	1	yes	characteristic
905	C₂×C₄²	C₂×#120	1	1	yes	characteristic
906	C₂×C₄²	C₂×#120	1	1	yes	characteristic
907	C₂×C₄²	C₂×#120	1	1	yes	characteristic
908	C₂×C₄²	C₂×#120	1	1	yes	characteristic
909	C₂×C₄²	C₂×#120	1	1	yes	characteristic
910	C₂×C₄²	C₂×#120	1	1	yes	characteristic
911	C₂×C₄²	C₂×#120	1	1	yes	characteristic
912	C₂×C₄²	C₂×#120	1	1	yes	characteristic
913	C₂×C₄²	C₂×#120	1	1	yes	characteristic
914	C₂×C₄²	C₂×#120	1	1	yes	characteristic
915	C₂×C₄²	C₂×#120	1	1	yes	characteristic
916	C₂×C₄²	C₂×#120	1	1	yes	characteristic
917	C₂×C₄²	C₂×#120	1	1	yes	characteristic
918	C₂×C₄²	C₂×#120	1	1	yes	characteristic
919	C₂×C₄²	C₂×#120	1	1	yes	characteristic
920	C₂×C₄²	C₂×#120	1	1	yes	characteristic
921	C₂×C₄²	C₂×#120	1	1	yes	characteristic
922	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
923	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
924	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
925	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
926	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
927	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
928	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
929	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
930	#95	C₂³×D₄	1	4	yes	—
931	#95	C₂³×D₄	1	4	yes	—
932	#95	C₂³×D₄	1	8	yes	—
933	C₂⁴	C₂²×#120	1	1	yes	characteristic
934	C₂⁴	C₂²×#120	1	1	yes	characteristic
935	C₂⁴	C₂²×#120	1	1	yes	characteristic
936	C₂⁴	C₂²×#120	1	1	yes	characteristic
937	C₂⁴	C₂²×#120	1	1	yes	characteristic
938	C₂⁴	C₂²×#120	1	1	yes	characteristic
939	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
940	C₂×D₄	#3585	1	4	yes	—
941	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
942	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
943	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
944	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
945	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
946	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
947	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
948	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
949	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
950	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
951	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
952	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
953	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
954	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
955	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
956	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
957	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
958	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
959	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
960	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
961	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
962	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
963	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
964	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
965	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
966	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
967	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
968	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
969	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
970	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
971	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
972	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
973	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
974	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
975	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
976	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
977	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
978	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
979	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
980	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
981	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
982	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
983	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
984	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
985	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
986	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
987	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
988	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
989	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
990	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
991	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
992	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
993	C₂³	#60367	1	2	yes	—
994	C₂³	#60387	1	2	yes	—
995	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
996	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
997	C₂³	C₂³×#120	1	1	yes	characteristic
998	C₂³	C₂×#3585	1	2	yes	—
999	C₂×C₄	#33553	1	4	yes	—
1000	C₂×C₄	#33553	1	4	yes	—
1001	C₂×C₄	#60367	1	2	yes	—
1002	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1003	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1004	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1005	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1006	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1007	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1008	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1009	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1010	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1011	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1012	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1013	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1014	C₂²	C₂×#33553	1	2	yes	—
1015	C₂²	C₂×#33553	1	2	yes	—
1016	C₂²	C₂×#60387	1	1	yes	characteristic
1017	C₂²	C₂×#60367	1	1	yes	characteristic
1018	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1019	C₄	C₂×#33553	1	2	yes	—
1020	C₄	C₂×#33553	1	2	yes	—
1021	C₄	C₂×#33553	1	2	yes	—
1022	C₄	C₂×#33553	1	2	yes	—
1023	C₂	#72236705	1	1	yes	characteristic
1024	C₂	C₂²×#33553	1	1	yes	characteristic
1025	C₂	C₂²×#33553	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×B(4,𝔽₂)
commutator, Frattini, cosocle	C₂×C₂²⋊C₄	C₂⁶
LCS	G ▷ C₂×C₂²⋊C₄ ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂²×C₄² ◁ C₂²×C₄×#41 ◁ G
LECS	G ▷ C₂×C₂²⋊C₄ ▷ C₂³ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72338817	C₂	semidirect
2. #72338816	C₂	semidirect
3. #72338813	C₂	semidirect
4. #72338808	C₂	semidirect
5. #72338803	C₂	semidirect
6. #72338800	C₂	semidirect
7. #72338692	C₂	semidirect
8. #72338672	C₂	semidirect
9. #72316900	C₂	semidirect
10. #72310588	C₂	semidirect
11. #72302148	C₂	semidirect
12. C₂×#8195808	C₂	semidirect
13. #72285243	C₂	semidirect
14. #72285018	C₂	semidirect
15. #72281567	C₂	semidirect
16. #72231294	C₂	semidirect
17. #72231195	C₂	semidirect
18. #10585995	C₂²	semidirect
20. #8195808	C₂²	semidirect
21. #8195808	C₂²	semidirect
22. #8195808	C₂²	semidirect
23. C₂×#56384	C₂²	semidirect
24. C₂×#52988	C₂²	semidirect
25. C₂×#45599	C₂²	semidirect
26. C₂×#45355	C₂²	semidirect
27. C₂×#58997	C₂²	semidirect
31. #6496264	C₂²	semidirect
32. #6491480	C₂²	semidirect
33. #6491100	C₂²	semidirect
34. #6489749	C₂²	semidirect
35. #6487648	C₂²	semidirect
36. #6477583	C₂²	semidirect
37. #6454873	C₂²	semidirect
38. #6454041	C₂²	semidirect
39. #6436632	C₂²	semidirect
40. #6370937	C₂²	semidirect
41. #6347508	C₂²	semidirect
42. #6347445	C₂²	semidirect
43. #6347443	C₂²	semidirect
44. #6347316	C₂²	semidirect
45. #6347262	C₂²	semidirect
46. #6347158	C₂²	semidirect
47. #6347113	C₂²	semidirect
48. #6346639	C₂²	semidirect
49. #6346637	C₂²	semidirect
50. #6346626	C₂²	semidirect
51. #6346616	C₂²	semidirect
52. #6346608	C₂²	semidirect
53. #6346599	C₂²	semidirect
54. #6346599	C₂²	semidirect
55. #6346505	C₂²	semidirect
56. #6346455	C₂²	semidirect
57. #6346414	C₂²	semidirect
58. #6342561	C₂²	semidirect
59. #6342561	C₂²	semidirect
60. #488456	C₂²	semidirect
61. #488376	C₂²	semidirect
62. #487963	C₂²	semidirect
63. #487883	C₂²	semidirect
64. #487636	C₂²	semidirect
65. #487561	C₂²	semidirect
66. #487306	C₂²	semidirect
67. #486935	C₂²	semidirect
68. #486807	C₂²	semidirect
69. #486593	C₂²	semidirect
70. #486513	C₂²	semidirect
71. #486347	C₂²	semidirect
72. #486243	C₂²	semidirect
73. #486019	C₂²	semidirect
74. #485901	C₂²	semidirect
75. #485383	C₂²	semidirect
76. #485315	C₂²	semidirect
77. #485122	C₂²	semidirect
78. #485039	C₂²	semidirect
79. #482633	C₂²	semidirect
80. #482550	C₂²	semidirect
81. #482471	C₂²	semidirect
82. #482424	C₂²	semidirect
83. #482375	C₂²	semidirect
84. #482369	C₂²	semidirect
85. #482363	C₂²	semidirect
86. #482357	C₂²	semidirect
87. #482357	C₂²	semidirect
88. #482234	C₂²	semidirect
89. #482051	C₂²	semidirect
90. #481950	C₂²	semidirect
91. #481821	C₂²	semidirect
92. #481732	C₂²	semidirect
93. #481603	C₂²	semidirect
94. #480787	C₂²	semidirect
95. #480784	C₂²	semidirect
96. #480760	C₂²	semidirect
97. #480708	C₂²	semidirect
98. #480658	C₂²	semidirect
99. #480583	C₂²	semidirect
100. #480580	C₂²	semidirect
101. #480376	C₂²	semidirect
103. #62813	C₂³	semidirect
104. #62812	C₂³	semidirect
105. #62781	C₂³	semidirect
106. #62781	C₂³	semidirect
109. #62686	C₂³	semidirect
110. C₂³×#127	D₄	semidirect
113. C₂³×C₄×D₄	D₄	semidirect
127. #35272	D₄	semidirect
128. #35272	D₄	semidirect
129. #35272	D₄	semidirect
130. #35272	D₄	semidirect
139. #34963	D₄	semidirect
140. #34963	D₄	semidirect
141. #34963	D₄	semidirect
142. #34963	D₄	semidirect
151. C₂×#2548	D₄	semidirect
153. C₂×#2598	D₄	semidirect
157. C₂×#2487	D₄	semidirect
162. C₂×#2408	D₄	semidirect
163. C₂×#2408	D₄	semidirect
168. C₂×#2619	D₄	semidirect
170. C₂×#2398	D₄	semidirect
174. C₂×#2285	D₄	semidirect
176. C₂×#2283	D₄	semidirect
177. #29710	C₂³	semidirect
178. #29684	C₂³	semidirect
179. #29658	C₂³	semidirect
180. #29636	C₂³	semidirect
181. #25947	C₂³	semidirect
182. #25900	C₂³	semidirect
183. #25853	C₂³	semidirect
184. #25771	C₂³	semidirect
185. #25564	C₂³	semidirect
186. #24350	C₂³	semidirect
187. #24260	C₂³	semidirect
190. #23595	C₂³	semidirect
191. #20723	C₂³	semidirect
192. #20723	C₂³	semidirect
196. #20632	C₂³	semidirect
197. C₄×#410	C₂³	semidirect
198. #18389	C₂³	semidirect
199. #18387	C₂³	semidirect
200. #18356	C₂³	semidirect
201. #18335	C₂³	semidirect
202. #18302	C₂³	semidirect
203. #18300	C₂³	semidirect
204. #18208	C₂³	semidirect
205. #18205	C₂³	semidirect
206. #18203	C₂³	semidirect
207. #18196	C₂³	semidirect
208. #18196	C₂³	semidirect
209. #18194	C₂³	semidirect
210. #18194	C₂³	semidirect
211. #18180	C₂³	semidirect
212. #18178	C₂³	semidirect
216. #18154	C₂³	semidirect
217. #18152	C₂³	semidirect
218. #18141	C₂³	semidirect
219. #18135	C₂³	semidirect
220. #18135	C₂³	semidirect
221. #18128	C₂³	semidirect
222. #17366	C₂³	semidirect
223. #17366	C₂³	semidirect
226. #17363	C₂³	semidirect
227. #17363	C₂³	semidirect
230. #17361	C₂³	semidirect
231. #17361	C₂³	semidirect
234. #17349	C₂³	semidirect
235. #17349	C₂³	semidirect
236. #12262	C₂³	semidirect
237. #12242	C₂³	semidirect
238. #12231	C₂³	semidirect
239. #12202	C₂³	semidirect
240. #12186	C₂³	semidirect
241. #12148	C₂³	semidirect
242. #12137	C₂³	semidirect
243. #12090	C₂³	semidirect
244. #11899	C₂³	semidirect
245. #11877	C₂³	semidirect
246. #11873	C₂³	semidirect
247. #11873	C₂³	semidirect
248. #11840	C₂³	semidirect
249. #11821	C₂³	semidirect
251. #11800	C₂³	semidirect
254. #11786	C₂³	semidirect
255. #11776	C₂³	semidirect
256. #11772	C₂³	semidirect
257. #11772	C₂³	semidirect
258. #11754	C₂³	semidirect
259. #11726	C₂³	semidirect
260. #11693	C₂³	semidirect
261. #11579	C₂³	semidirect
262. #11576	C₂³	semidirect
263. #11561	C₂³	semidirect
264. #11557	C₂³	semidirect
265. #11546	C₂³	semidirect
266. #11542	C₂³	semidirect
267. #11525	C₂³	semidirect
270. #11471	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#72338817	2
#72338816	2
#72338813	2
#72338808	2
#72338803	2
#72338800	2
#72338692	2
#72338672	2
#72316900	2
#72310588	2
#72302148	2
C₂×#8195808	2
#72285243	2
#72285018	2
#72281567	2
#72231294	2
#72231195	2