Subgroups — #7673766

Order 512.

6232 conjugacy classes of subgroups.

The subgroup lattice has 1189 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#45188	C₂	1	4	yes	maximal, complemented
2	#45019	C₂	1	4	yes	maximal, complemented
3	#44903	C₂	1	4	yes	maximal, complemented
4	#44901	C₂	1	4	yes	maximal, complemented
5	#39558	C₂	1	8	yes	maximal, complemented
6	#39070	C₂	1	4	yes	maximal, complemented
7	#39066	C₂	1	4	yes	maximal, complemented
8	#38254	C₂	1	4	yes	maximal, complemented
9	#38250	C₂	1	4	yes	maximal, complemented
10	#37848	C₂	1	8	yes	maximal, complemented
11	#35558	C₂	1	1	yes	maximal, characteristic, complemented
12	#35541	C₂	1	1	yes	maximal, characteristic, complemented
13	#35531	C₂	1	1	yes	maximal, characteristic, complemented
14	#35529	C₂	1	1	yes	maximal, characteristic, complemented
15	#35266	C₂	1	1	yes	maximal, characteristic, complemented
16	#35264	C₂	1	1	yes	maximal, characteristic, complemented
17	#35222	C₂	1	1	yes	maximal, characteristic
18	#35151	C₂	1	1	yes	maximal, characteristic, complemented
19	#34635	C₂	1	1	yes	maximal, characteristic, complemented
20	#34275	C₂	1	1	yes	maximal, characteristic, complemented
21	#34255	C₂	1	1	yes	maximal, characteristic, complemented
22	#34201	C₂	1	1	yes	maximal, characteristic, complemented
23	#34171	C₂	1	1	yes	maximal, characteristic, complemented
24	#34048	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2309	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂⁴×D₄	C₂²	1	1	yes	characteristic
27	C₂×#544	C₂²	1	1	yes	characteristic, complemented
28	C₂×#535	C₂²	1	1	yes	characteristic
29	C₂×#535	C₂²	1	1	yes	characteristic
30	C₂×#525	C₂²	1	1	yes	characteristic
31	C₂×#520	C₂²	1	1	yes	characteristic, complemented
32	C₂×#518	C₂²	1	1	yes	characteristic
33	C₂×#518	C₂²	1	1	yes	characteristic
34	C₂²×#117	C₂²	1	1	yes	characteristic
35	C₂²×#117	C₂²	1	1	yes	characteristic
36	#2861	C₂²	1	2	yes	complemented
37	#2860	C₂²	1	4	yes	complemented
38	#2858	C₂²	1	2	yes	complemented
39	#2855	C₂²	1	4	yes	complemented
40	#2846	C₂²	1	4	yes	—
41	#2797	C₂²	1	8	yes	complemented
42	#2796	C₂²	1	8	yes	complemented
43	#2786	C₂²	1	8	yes	complemented
44	#2752	C₂²	1	8	yes	complemented
45	#2751	C₂²	1	8	yes	complemented
46	#2740	C₂²	1	8	yes	complemented
47	#2736	C₂²	1	8	yes	complemented
48	#2735	C₂²	1	8	yes	complemented
49	#2735	C₂²	1	8	yes	complemented
50	#2735	C₂²	1	8	yes	complemented
51	#2730	C₂²	1	8	yes	complemented
52	#2705	C₂²	1	8	yes	complemented
53	#2697	C₂²	1	8	yes	complemented
54	#2685	C₂²	1	8	yes	complemented
55	#2685	C₂²	1	8	yes	complemented
56	#2684	C₂²	1	8	yes	complemented
57	#2644	C₂²	1	4	yes	complemented
58	#2641	C₂²	1	2	yes	complemented
59	#2640	C₂²	1	2	yes	complemented
60	#2626	C₂²	1	4	yes	—
61	#2625	C₂²	1	2	yes	complemented
62	#2625	C₂²	1	2	yes	complemented
63	#2624	C₂²	1	2	yes	complemented
64	#2624	C₂²	1	2	yes	complemented
65	#2623	C₂²	1	4	yes	complemented
66	#2622	C₂²	1	4	yes	—
67	#2613	C₂²	1	4	yes	—
68	#2602	C₂²	1	8	yes	complemented
69	#2601	C₂²	1	8	yes	complemented
70	#2595	C₂²	1	8	yes	complemented
71	#2566	C₂²	1	2	yes	complemented
72	#2566	C₂²	1	2	yes	complemented
73	#2563	C₂²	1	2	yes	complemented
74	#2561	C₂²	1	8	yes	complemented
75	#2560	C₂²	1	8	yes	complemented
76	#2557	C₂²	1	8	yes	complemented
77	#2542	C₂²	1	2	yes	complemented
78	#2534	C₂²	1	8	yes	complemented
79	#2516	C₂²	1	8	yes	complemented
80	#2513	C₂²	1	4	yes	complemented
81	#2513	C₂²	1	4	yes	complemented
82	#2513	C₂²	1	4	yes	complemented
83	#2512	C₂²	1	4	yes	complemented
84	#2512	C₂²	1	4	yes	complemented
85	#2512	C₂²	1	4	yes	complemented
86	#2504	C₂²	1	2	yes	complemented
87	#2501	C₂²	1	2	yes	complemented
88	#2500	C₂²	1	2	yes	complemented
89	#2500	C₂²	1	2	yes	complemented
90	#2491	C₂²	1	4	yes	complemented
91	#2490	C₂²	1	4	yes	complemented
92	#2482	C₂²	1	8	yes	complemented
93	#2480	C₂²	1	8	yes	complemented
94	#2480	C₂²	1	8	yes	complemented
95	#2480	C₂²	1	8	yes	complemented
96	#2480	C₂²	1	8	yes	complemented
97	#2472	C₂²	1	8	yes	complemented
98	#2472	C₂²	1	8	yes	complemented
99	#2471	C₂²	1	8	yes	complemented
100	#2467	C₂²	1	8	yes	complemented
101	#2454	C₂²	1	4	yes	complemented
102	#2452	C₂²	1	4	yes	complemented
103	#2448	C₂²	1	4	yes	complemented
104	#2447	C₂²	1	4	yes	complemented
105	#2445	C₂²	1	4	yes	complemented
106	#2445	C₂²	1	4	yes	complemented
107	#2441	C₂²	1	4	yes	complemented
108	#2441	C₂²	1	4	yes	complemented
109	#2439	C₂²	1	4	yes	complemented
110	#2439	C₂²	1	4	yes	complemented
111	#2437	C₂²	1	8	yes	complemented
112	#2435	C₂²	1	4	yes	—
113	#2433	C₂²	1	4	yes	—
114	#2422	C₂²	1	4	yes	complemented
115	#2420	C₂²	1	4	yes	complemented
116	#2418	C₂²	1	8	yes	complemented
117	#2418	C₂²	1	8	yes	complemented
118	#2412	C₂²	1	8	yes	complemented
119	#2411	C₂²	1	8	yes	complemented
120	#2408	C₂²	1	4	yes	—
121	#2408	C₂²	1	4	yes	—
122	#2395	C₂²	1	4	yes	complemented
123	#2395	C₂²	1	4	yes	complemented
124	#2363	C₂²	1	4	yes	complemented
125	#2363	C₂²	1	4	yes	complemented
126	#2362	C₂²	1	4	yes	complemented
127	#2361	C₂²	1	4	yes	complemented
128	#2358	C₂²	1	8	yes	complemented
129	#2357	C₂²	1	4	yes	complemented
130	#2354	C₂²	1	4	yes	complemented
131	#2354	C₂²	1	4	yes	complemented
132	#2352	C₂²	1	4	yes	complemented
133	#2342	C₂²	1	8	yes	complemented
134	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
135	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
136	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
137	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
138	#2328	C₂²	1	2	yes	complemented
139	#2326	C₂²	1	2	yes	complemented
140	#2321	C₂²	1	4	yes	—
141	#2319	C₂²	1	4	yes	complemented
142	#2317	C₂²	1	1	yes	characteristic, complemented
143	#2317	C₂²	1	1	yes	characteristic, complemented
144	#2317	C₂²	1	1	yes	characteristic, complemented
145	#2316	C₂²	1	1	yes	characteristic, complemented
146	#2314	C₂²	1	2	yes	complemented
147	#2314	C₂²	1	2	yes	complemented
148	#2314	C₂²	1	2	yes	complemented
149	#2314	C₂²	1	2	yes	complemented
150	#2313	C₂²	1	4	yes	complemented
151	#2312	C₂²	1	4	yes	—
152	#2311	C₂²	1	1	yes	characteristic, complemented
153	#2309	C₂²	1	4	yes	—
154	#2309	C₂²	1	4	yes	—
155	#2309	C₂²	1	4	yes	—
156	#2309	C₂²	1	1	yes	characteristic
157	#2309	C₂²	1	1	yes	characteristic
158	#2309	C₂²	1	1	yes	characteristic
159	#2309	C₂²	1	1	yes	characteristic
160	#2309	C₂²	1	4	yes	—
161	#2308	C₂²	1	4	yes	—
162	C₄×#127	C₂²	1	2	yes	complemented
163	C₄×#124	C₂²	1	2	yes	complemented
164	C₄×#123	C₂²	1	4	yes	complemented
165	#2298	C₂²	1	4	yes	complemented
166	#2298	C₂²	1	4	yes	complemented
167	#2297	C₂²	1	1	yes	characteristic, complemented
168	#2297	C₂²	1	1	yes	characteristic, complemented
169	#2296	C₂²	1	1	yes	characteristic, complemented
170	#2296	C₂²	1	1	yes	characteristic, complemented
171	#2293	C₂²	1	4	yes	complemented
172	C₂×#390	C₂²	1	4	yes	—
173	C₂×#390	C₂²	1	1	yes	characteristic
174	C₂×#390	C₂²	1	1	yes	characteristic
175	C₂×#390	C₂²	1	1	yes	characteristic
176	C₂×#390	C₂²	1	1	yes	characteristic
177	#2285	C₂²	1	1	yes	characteristic, complemented
178	#2285	C₂²	1	1	yes	characteristic, complemented
179	#2280	C₂²	1	1	yes	characteristic
180	#2280	C₂²	1	1	yes	characteristic
181	#2280	C₂²	1	1	yes	characteristic
182	C₂×#379	C₂²	1	4	yes	—
183	C₂×#379	C₂²	1	4	yes	—
184	#2274	C₂²	1	1	yes	characteristic, complemented
185	C₄×#117	C₂²	1	1	yes	characteristic, complemented
186	C₄×#117	C₂²	1	1	yes	characteristic, complemented
187	C₂⁶	C₂³	1	2	yes	—
188	C₂²×#41	C₂³	1	1	yes	characteristic
189	C₂³×D₄	—	2	8	no	—
190	C₂³×D₄	—	2	8	no	—
191	C₂³×D₄	—	4	4	no	—
192	C₂³×D₄	C₂³	1	1	yes	characteristic
193	C₂³×D₄	C₂³	1	2	yes	—
194	C₂³×D₄	C₂³	1	4	yes	—
195	C₂³×D₄	C₂³	1	4	yes	—
196	C₂³×D₄	C₂³	1	1	yes	characteristic
197	C₂⁴×C₄	C₂³	1	1	yes	characteristic
198	#544	—	4	4	no	—
199	#535	—	2	8	no	—
200	#535	—	4	4	no	—
201	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
202	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
203	C₂×#127	C₂³	1	2	yes	—
204	C₂×#127	C₂³	1	2	yes	—
205	C₂×#126	C₂³	1	8	yes	complemented
206	C₂×#126	C₂³	1	8	yes	complemented
207	C₂×#125	C₂³	1	2	yes	complemented
208	C₂×#125	C₂³	1	2	yes	complemented
209	C₂×#124	C₂³	1	2	yes	—
210	C₂×#124	C₂³	1	2	yes	—
211	C₂×#124	C₂³	1	8	yes	complemented
212	#525	—	2	8	no	—
213	C₂×#123	C₂³	1	2	yes	—
214	C₂×#123	C₂³	1	8	yes	complemented
215	C₂×#123	C₂³	1	8	yes	complemented
216	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
218	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
219	C₂×#121	C₂³	1	4	yes	—
220	C₂×#121	C₂³	1	2	yes	—
221	C₂×#121	C₂³	1	2	yes	—
222	C₂×#121	C₂³	1	2	yes	—
223	C₂×#120	C₂³	1	2	yes	—
224	C₂×#120	C₂³	1	4	yes	—
225	C₂×#120	C₂³	1	4	yes	—
226	C₂×#120	C₂³	1	8	yes	—
227	C₂×#120	C₂³	1	8	yes	—
228	#520	—	4	4	no	—
229	#518	—	2	8	no	—
230	#518	—	4	4	no	—
231	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
232	C₂×C₄×D₄	C₂³	1	4	yes	—
233	C₂×C₄×D₄	C₂³	1	4	yes	—
234	C₂×C₄×D₄	C₂³	1	4	yes	—
235	C₂×C₄×D₄	C₂³	1	2	yes	—
236	C₂×C₄×D₄	C₂³	1	2	yes	—
237	C₂×C₄×D₄	C₂³	1	2	yes	—
238	C₂×C₄×D₄	C₂³	1	4	yes	—
239	C₂×C₄×D₄	C₂³	1	2	yes	—
240	C₂×C₄×D₄	C₂³	1	2	yes	complemented
241	C₂×C₄×D₄	C₂³	1	8	yes	complemented
242	C₂×#117	—	2	8	no	—
243	C₂×#117	—	4	4	no	—
244	C₂×#117	C₂³	1	2	yes	—
245	C₂×#117	C₂³	1	2	yes	—
246	C₂×#117	C₂³	1	1	yes	characteristic
247	C₂×#117	C₂³	1	2	yes	—
248	C₂×#117	C₂³	1	2	yes	—
249	C₂×#117	C₂³	1	1	yes	characteristic
250	C₂×#117	C₂³	1	1	yes	characteristic
251	C₂×#117	C₂³	1	1	yes	characteristic
252	C₂×#117	C₂³	1	1	yes	characteristic
253	C₂×#117	C₂³	1	1	yes	characteristic
254	C₂×#117	C₂³	1	1	yes	characteristic
255	C₂×#117	C₂³	1	4	yes	—
256	C₂×#117	C₂³	1	4	yes	—
257	C₂×#117	C₂³	1	2	yes	complemented
258	C₂×#117	C₂³	1	8	yes	complemented
259	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
261	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
263	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
264	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
265	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
266	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
267	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
268	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
269	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
270	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
271	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
272	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
273	C₂²×C₄²	C₂³	1	1	yes	characteristic
274	C₂²×C₄²	C₂³	1	1	yes	characteristic
275	C₂²×C₄²	C₂³	1	2	yes	—
276	#400	C₂³	1	4	yes	complemented
277	#400	C₂³	1	4	yes	complemented
278	#399	C₂³	1	8	yes	—
279	#399	C₂³	1	4	yes	complemented
280	#399	C₂³	1	4	yes	complemented
281	#399	C₂³	1	8	yes	complemented
282	#399	C₂³	1	8	yes	complemented
283	#398	C₂³	1	4	yes	complemented
284	#398	C₂³	1	4	yes	complemented
285	#397	C₂³	1	4	yes	—
286	#397	C₂³	1	4	yes	—
287	#397	C₂³	1	4	yes	—
288	#397	C₂³	1	4	yes	—
289	#397	C₂³	1	8	yes	complemented
290	#397	C₂³	1	8	yes	complemented
291	#397	C₂³	1	8	yes	complemented
292	#397	C₂³	1	8	yes	complemented
293	#397	C₂³	1	4	yes	complemented
294	#397	C₂³	1	4	yes	complemented
295	#397	C₂³	1	8	yes	complemented
296	#397	C₂³	1	8	yes	complemented
297	#397	C₂³	1	8	yes	complemented
298	#397	C₂³	1	8	yes	complemented
299	#397	C₂³	1	8	yes	complemented
300	#397	C₂³	1	8	yes	complemented
301	#396	C₂³	1	8	yes	—
302	#396	C₂³	1	8	yes	—
303	#396	C₂³	1	8	yes	complemented
304	#396	C₂³	1	8	yes	complemented
305	#396	C₂³	1	8	yes	complemented
306	#396	C₂³	1	8	yes	complemented
307	#394	C₂³	1	8	yes	—
308	#394	C₂³	1	8	yes	—
309	#394	C₂³	1	4	yes	—
310	#394	C₂³	1	4	yes	—
311	#394	C₂³	1	4	yes	—
312	#394	C₂³	1	4	yes	—
313	#394	C₂³	1	8	yes	complemented
314	#394	C₂³	1	8	yes	complemented
315	#394	C₂³	1	8	yes	complemented
316	#394	C₂³	1	8	yes	complemented
317	#394	C₂³	1	8	yes	complemented
318	#394	C₂³	1	8	yes	complemented
319	#393	C₂³	1	8	yes	—
320	#393	C₂³	1	8	yes	complemented
321	#393	C₂³	1	8	yes	complemented
322	#392	C₂³	1	8	yes	—
323	#392	C₂³	1	8	yes	—
324	#391	C₂³	1	8	yes	complemented
325	#391	C₂³	1	2	yes	complemented
326	#391	C₂³	1	1	yes	characteristic, complemented
327	#391	C₂³	1	1	yes	characteristic, complemented
328	#391	C₂³	1	2	yes	complemented
329	#390	C₂³	1	8	yes	—
330	#390	C₂³	1	2	yes	—
331	#390	C₂³	1	2	yes	—
332	#390	C₂³	1	2	yes	—
333	#390	C₂³	1	2	yes	—
334	#390	C₂³	1	2	yes	—
335	#390	C₂³	1	8	yes	—
336	#390	C₂³	1	8	yes	—
337	#390	C₂³	1	2	yes	—
338	#390	C₂³	1	2	yes	—
339	#390	C₂³	1	4	yes	—
340	#390	C₂³	1	4	yes	—
341	#390	C₂³	1	4	yes	—
342	#390	C₂³	1	8	yes	—
343	#390	C₂³	1	4	yes	—
344	#390	C₂³	1	2	yes	—
345	#390	C₂³	1	2	yes	—
346	#390	C₂³	1	2	yes	—
347	#390	C₂³	1	4	yes	—
348	#390	C₂³	1	2	yes	—
349	#390	C₂³	1	4	yes	—
350	#390	C₂³	1	2	yes	—
351	#390	C₂³	1	4	yes	—
352	#390	C₂³	1	2	yes	—
353	#390	C₂³	1	2	yes	—
354	#390	C₂³	1	4	yes	—
355	#390	C₂³	1	4	yes	—
356	#390	C₂³	1	8	yes	—
357	#390	C₂³	1	1	yes	characteristic, complemented
358	#390	C₂³	1	8	yes	complemented
359	#390	C₂³	1	2	yes	complemented
360	#390	C₂³	1	1	yes	characteristic, complemented
361	#390	C₂³	1	8	yes	complemented
362	#390	C₂³	1	2	yes	complemented
363	#389	C₂³	1	4	yes	complemented
364	#389	C₂³	1	4	yes	complemented
365	#389	C₂³	1	4	yes	complemented
366	#389	C₂³	1	4	yes	complemented
367	#389	C₂³	1	4	yes	complemented
368	#389	C₂³	1	2	yes	complemented
369	#389	C₂³	1	8	yes	complemented
370	#389	C₂³	1	2	yes	complemented
371	#389	C₂³	1	2	yes	complemented
372	#389	C₂³	1	2	yes	complemented
373	#388	C₂³	1	4	yes	—
374	#388	C₂³	1	8	yes	—
375	#388	C₂³	1	4	yes	—
376	#388	C₂³	1	4	yes	—
377	#388	C₂³	1	4	yes	—
378	#388	C₂³	1	4	yes	—
379	#388	C₂³	1	4	yes	—
380	#388	C₂³	1	4	yes	—
381	#388	C₂³	1	4	yes	—
382	#388	C₂³	1	8	yes	—
383	#388	C₂³	1	8	yes	complemented
384	#388	C₂³	1	8	yes	complemented
385	#388	C₂³	1	8	yes	complemented
386	#388	C₂³	1	8	yes	complemented
387	#388	C₂³	1	8	yes	complemented
388	#388	C₂³	1	8	yes	complemented
389	#388	C₂³	1	8	yes	complemented
390	#388	C₂³	1	8	yes	complemented
391	#388	C₂³	1	8	yes	complemented
392	#388	C₂³	1	8	yes	complemented
393	#388	C₂³	1	8	yes	complemented
394	#388	C₂³	1	8	yes	complemented
395	#388	C₂³	1	8	yes	complemented
396	#388	C₂³	1	8	yes	complemented
397	#388	C₂³	1	8	yes	complemented
398	#388	C₂³	1	8	yes	complemented
399	#388	C₂³	1	8	yes	complemented
400	#387	C₂³	1	4	yes	complemented
401	#387	C₂³	1	4	yes	complemented
402	#387	C₂³	1	4	yes	complemented
403	#387	C₂³	1	4	yes	complemented
404	#387	C₂³	1	4	yes	complemented
405	#387	C₂³	1	4	yes	complemented
406	#387	C₂³	1	4	yes	complemented
407	#387	C₂³	1	4	yes	complemented
408	#387	C₂³	1	8	yes	complemented
409	#387	C₂³	1	8	yes	complemented
410	#387	C₂³	1	8	yes	complemented
411	#386	C₂³	1	8	yes	—
412	#386	C₂³	1	8	yes	—
413	#386	C₂³	1	8	yes	—
414	#386	C₂³	1	8	yes	—
415	#386	C₂³	1	4	yes	—
416	#386	C₂³	1	8	yes	—
417	#386	C₂³	1	4	yes	—
418	#386	C₂³	1	4	yes	—
419	#386	C₂³	1	8	yes	complemented
420	#386	C₂³	1	8	yes	complemented
421	#386	C₂³	1	8	yes	complemented
422	#386	C₂³	1	8	yes	complemented
423	#385	C₂³	1	4	yes	—
424	#385	C₂³	1	4	yes	—
425	#385	C₂³	1	4	yes	—
426	#385	C₂³	1	4	yes	—
427	#385	C₂³	1	4	yes	—
428	#385	C₂³	1	8	yes	complemented
429	#385	C₂³	1	8	yes	complemented
430	#385	C₂³	1	8	yes	complemented
431	#385	C₂³	1	8	yes	complemented
432	#384	C₂³	1	2	yes	complemented
433	#384	C₂³	1	1	yes	characteristic, complemented
434	#384	C₂³	1	2	yes	complemented
435	#384	C₂³	1	2	yes	complemented
436	#384	C₂³	1	1	yes	characteristic, complemented
437	#384	C₂³	1	2	yes	complemented
438	#382	C₂³	1	1	yes	characteristic, complemented
439	#382	C₂³	1	2	yes	complemented
440	#382	C₂³	1	1	yes	characteristic, complemented
441	#382	C₂³	1	2	yes	complemented
442	#382	C₂³	1	2	yes	complemented
443	#382	C₂³	1	2	yes	complemented
444	#381	C₂³	1	2	yes	—
445	#381	C₂³	1	2	yes	—
446	#381	C₂³	1	2	yes	—
447	#381	C₂³	1	8	yes	complemented
448	#381	C₂³	1	8	yes	complemented
449	#380	C₂³	1	4	yes	—
450	#380	C₂³	1	4	yes	—
451	#380	C₂³	1	2	yes	—
452	#380	C₂³	1	2	yes	—
453	#380	C₂³	1	2	yes	—
454	#380	C₂³	1	2	yes	—
455	#380	C₂³	1	4	yes	—
456	#380	C₂³	1	2	yes	—
457	#380	C₂³	1	2	yes	—
458	#380	C₂³	1	8	yes	complemented
459	#380	C₂³	1	4	yes	complemented
460	#380	C₂³	1	8	yes	complemented
461	#379	C₂³	1	8	yes	—
462	#379	C₂³	1	8	yes	—
463	#379	C₂³	1	4	yes	—
464	#379	C₂³	1	4	yes	—
465	#379	C₂³	1	8	yes	—
466	#379	C₂³	1	8	yes	—
467	#379	C₂³	1	8	yes	—
468	#379	C₂³	1	4	yes	—
469	#379	C₂³	1	4	yes	—
470	#379	C₂³	1	2	yes	—
471	#379	C₂³	1	2	yes	—
472	#379	C₂³	1	8	yes	—
473	#379	C₂³	1	8	yes	—
474	#379	C₂³	1	8	yes	—
475	#379	C₂³	1	2	yes	—
476	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
477	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
478	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
479	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
480	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
481	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
482	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
483	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
484	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
485	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
486	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
487	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
488	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
489	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
490	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
491	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
492	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
493	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
494	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
495	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
496	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
497	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
498	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
499	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
500	#376	C₂³	1	2	yes	complemented
501	#376	C₂³	1	2	yes	complemented
502	C₄³	C₂³	1	2	yes	complemented
503	C₄³	C₂³	1	2	yes	complemented
504	C₂⁵	—	2	8	no	—
505	C₂⁵	—	2	8	no	—
506	C₂⁵	—	4	4	no	—
507	C₂⁵	—	8	4	no	—
508	C₂⁵	—	8	4	no	—
509	C₂⁵	C₂⁴	1	2	yes	—
510	C₂⁵	C₂⁴	1	8	yes	—
511	C₂⁵	C₂⁴	1	2	yes	—
512	C₂⁵	C₂⁴	1	1	yes	characteristic
513	C₂×#41	—	2	4	no	—
514	C₂×#41	—	2	4	no	—
515	C₂×#41	—	2	4	no	—
516	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂²×Q₈	C₂⁴	1	4	yes	—
518	C₂²×D₄	—	2	8	no	—
519	C₂²×D₄	—	2	16	no	—
520	C₂²×D₄	—	2	16	no	—
521	C₂²×D₄	—	2	4	no	—
522	C₂²×D₄	—	2	8	no	—
523	C₂²×D₄	—	2	16	no	—
524	C₂²×D₄	—	2	16	no	—
525	C₂²×D₄	—	2	4	no	—
526	C₂²×D₄	—	2	4	no	—
527	C₂²×D₄	—	2	4	no	—
528	C₂²×D₄	—	2	4	no	—
529	C₂²×D₄	—	4	8	no	—
530	C₂²×D₄	—	4	8	no	—
531	C₂²×D₄	—	4	64	no	—
532	C₂²×D₄	—	4	4	no	—
533	C₂²×D₄	#41	1	8	yes	—
534	C₂²×D₄	C₂⁴	1	2	yes	—
535	C₂²×D₄	C₂⁴	1	1	yes	characteristic
536	C₂²×D₄	C₂⁴	1	2	yes	—
537	C₂²×D₄	C₂⁴	1	2	yes	—
538	C₂²×D₄	C₂⁴	1	8	yes	—
539	C₂²×D₄	C₂⁴	1	2	yes	—
540	C₂²×D₄	C₂⁴	1	2	yes	—
541	C₂²×D₄	C₂⁴	1	4	yes	—
542	C₂²×D₄	C₂⁴	1	8	yes	—
543	C₂²×D₄	C₂⁴	1	4	yes	—
544	C₂²×D₄	C₂⁴	1	4	yes	—
545	C₂³×C₄	—	2	4	no	—
546	C₂³×C₄	—	2	4	no	—
547	C₂³×C₄	#41	1	8	yes	—
548	C₂³×C₄	C₂⁴	1	2	yes	—
549	C₂³×C₄	C₂⁴	1	1	yes	characteristic
550	C₂³×C₄	C₂⁴	1	2	yes	—
551	C₂³×C₄	C₂⁴	1	2	yes	—
552	C₂³×C₄	C₂⁴	1	2	yes	—
553	C₂³×C₄	C₂⁴	1	2	yes	—
554	C₂³×C₄	C₂⁴	1	2	yes	—
555	C₂³×C₄	C₂⁴	1	2	yes	—
556	C₂³×C₄	C₂⁴	1	8	yes	—
557	C₂³×C₄	C₂⁴	1	4	yes	—
558	C₂³×C₄	C₂⁴	1	4	yes	—
559	C₂³×C₄	C₂⁴	1	4	yes	—
560	C₂³×C₄	C₂⁴	1	1	yes	characteristic
561	C₄⋊Q₈	—	4	4	no	—
562	C₄⋊Q₈	—	4	4	no	—
563	#127	—	2	8	no	—
564	#127	—	4	4	no	—
565	#126	—	8	8	no	—
566	#126	—	8	8	no	—
567	#125	—	4	4	no	—
568	#125	—	4	4	no	—
569	#124	—	2	8	no	—
570	#124	—	4	4	no	—
571	#124	—	8	8	no	—
572	#123	—	2	8	no	—
573	#123	—	8	8	no	—
574	#123	—	8	8	no	—
575	C₂²⋊Q₈	—	2	8	no	—
576	C₂²⋊Q₈	—	4	8	no	—
577	C₂²⋊Q₈	—	8	8	no	—
578	#121	—	2	16	no	—
579	#121	—	2	8	no	—
580	#121	—	4	4	no	—
581	#121	—	4	4	no	—
582	#120	—	2	8	no	—
583	#120	—	2	16	no	—
584	#120	—	4	8	no	—
585	#120	—	8	8	no	—
586	#120	—	8	8	no	—
587	C₄×Q₈	—	4	4	no	—
588	C₄×D₄	—	2	16	no	—
589	C₄×D₄	—	2	16	no	—
590	C₄×D₄	—	2	16	no	—
591	C₄×D₄	—	4	4	no	—
592	C₄×D₄	—	4	4	no	—
593	C₄×D₄	—	4	4	no	—
594	C₄×D₄	—	4	4	no	—
595	C₄×D₄	—	4	4	no	—
596	C₄×D₄	—	4	8	no	—
597	C₄×D₄	—	8	8	no	—
598	#117	—	2	8	no	—
599	#117	—	2	8	no	—
600	#117	—	2	8	no	—
601	#117	—	2	8	no	—
602	#117	—	2	4	no	—
603	#117	—	2	4	no	—
604	#117	—	2	4	no	—
605	#117	—	2	4	no	—
606	#117	—	2	4	no	—
607	#117	—	2	4	no	—
608	#117	—	2	4	no	—
609	#117	—	4	8	no	—
610	#117	—	4	8	no	—
611	#117	—	4	4	no	—
612	#117	—	8	8	no	—
613	C₂×C₄⋊C₄	—	2	8	no	—
614	C₂×C₄⋊C₄	—	2	4	no	—
615	C₂×C₄⋊C₄	—	2	4	no	—
616	C₂×C₄⋊C₄	—	4	4	no	—
617	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
618	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
619	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
620	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
621	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
622	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
623	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
624	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
625	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
630	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
631	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
634	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
635	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
636	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
637	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
638	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
639	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
640	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
643	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
646	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
647	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
648	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
649	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
650	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
651	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
652	C₂×C₂²⋊C₄	—	2	8	no	—
653	C₂×C₂²⋊C₄	—	2	16	no	—
654	C₂×C₂²⋊C₄	—	4	8	no	—
655	C₂×C₂²⋊C₄	—	4	4	no	—
656	C₂×C₂²⋊C₄	—	8	8	no	—
657	C₂×C₂²⋊C₄	—	8	8	no	—
658	C₂×C₂²⋊C₄	—	8	4	no	—
659	C₂×C₂²⋊C₄	—	8	4	no	—
660	C₂×C₂²⋊C₄	—	8	4	no	—
661	C₂×C₂²⋊C₄	—	8	4	no	—
662	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
671	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
676	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
677	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
680	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
681	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
682	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
683	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
686	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
687	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
688	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
689	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
690	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
691	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
692	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
693	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
694	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
695	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
696	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
697	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
698	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
700	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
701	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
704	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
705	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
706	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
708	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
709	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
710	C₂×C₄²	—	2	4	no	—
711	C₂×C₄²	—	2	4	no	—
712	C₂×C₄²	—	4	4	no	—
713	C₂×C₄²	C₂⁴	1	1	yes	characteristic
714	C₂×C₄²	C₂⁴	1	1	yes	characteristic
715	C₂×C₄²	C₂⁴	1	2	yes	—
716	C₂×C₄²	C₂⁴	1	1	yes	characteristic
717	C₂×C₄²	C₂⁴	1	1	yes	characteristic
718	C₂×C₄²	C₂⁴	1	2	yes	—
719	C₂×C₄²	C₂⁴	1	2	yes	—
720	C₂×C₄²	C₂⁴	1	2	yes	—
721	C₂×C₄²	C₂⁴	1	2	yes	—
722	C₂×C₄²	C₂⁴	1	2	yes	—
723	C₂×C₄²	C₂⁴	1	2	yes	—
724	C₂×C₄²	C₂⁴	1	2	yes	—
725	C₂×C₄²	C₂⁴	1	2	yes	—
726	C₂×C₄²	C₂⁴	1	8	yes	—
727	C₂×C₄²	C₂⁴	1	4	yes	—
728	C₂×C₄²	C₂⁴	1	4	yes	—
729	C₂×C₄²	C₂⁴	1	8	yes	—
730	C₂×C₄²	C₂⁴	1	4	yes	—
731	C₂×C₄²	C₂⁴	1	4	yes	—
732	C₂×C₄²	C₂⁴	1	4	yes	—
733	#95	C₂⁴	1	4	yes	—
734	#95	C₂⁴	1	4	yes	—
735	#95	C₂⁴	1	4	yes	—
736	#95	C₂⁴	1	4	yes	—
737	#95	C₂⁴	1	4	yes	—
738	#95	C₂⁴	1	4	yes	—
739	#95	C₂⁴	1	8	yes	—
740	#95	C₂⁴	1	4	yes	—
741	#95	C₂⁴	1	4	yes	—
742	#95	C₂⁴	1	4	yes	—
743	#95	C₂⁴	1	4	yes	—
744	#95	C₂⁴	1	4	yes	—
745	#95	C₂⁴	1	4	yes	—
746	#95	C₂⁴	1	8	yes	—
747	#95	C₂⁴	1	4	yes	—
748	#95	C₂⁴	1	8	yes	—
749	#95	C₂⁴	1	8	yes	—
750	#95	C₂⁴	1	4	yes	—
751	#95	C₂⁴	1	4	yes	—
752	#95	C₂⁴	1	4	yes	—
753	#95	C₂⁴	1	4	yes	—
754	#95	C₂⁴	1	4	yes	—
755	#95	C₂⁴	1	4	yes	—
756	#95	C₂⁴	1	8	yes	—
757	#95	C₂⁴	1	4	yes	—
758	#95	C₂⁴	1	4	yes	—
759	#95	C₂⁴	1	4	yes	—
760	#95	C₂⁴	1	8	yes	—
761	C₂⁴	—	2	2	no	—
762	C₂⁴	—	2	2	no	—
763	C₂⁴	—	2	4	no	—
764	C₂⁴	—	2	4	no	—
765	C₂⁴	—	2	4	no	—
766	C₂⁴	—	2	16	no	—
767	C₂⁴	—	2	16	no	—
768	C₂⁴	—	2	4	no	—
769	C₂⁴	—	2	4	no	—
770	C₂⁴	—	4	2	no	—
771	C₂⁴	—	4	2	no	—
772	C₂⁴	—	4	4	no	—
773	C₂⁴	—	4	4	no	—
774	C₂⁴	—	4	4	no	—
775	C₂⁴	—	4	4	no	—
776	C₂⁴	—	4	8	no	—
777	C₂⁴	—	4	8	no	—
778	C₂⁴	—	4	8	no	—
779	C₂⁴	—	4	8	no	—
780	C₂⁴	—	4	8	no	—
781	C₂⁴	—	4	32	no	—
782	C₂⁴	—	8	32	no	—
783	C₂⁴	—	8	32	no	—
784	C₂⁴	—	8	16	no	—
785	C₂⁴	—	8	16	no	—
786	C₂⁴	C₂×#41	1	4	yes	—
787	C₂⁴	C₂×#41	1	8	yes	—
788	C₂⁴	C₂⁵	1	4	yes	—
789	C₂⁴	C₂⁵	1	2	yes	—
790	C₂⁴	C₂⁵	1	2	yes	—
791	C₂⁴	C₂⁵	1	4	yes	—
792	C₂⁴	C₂⁵	1	1	yes	characteristic
793	#41	—	4	16	no	—
794	C₂×Q₈	—	2	2	no	—
795	C₂×Q₈	—	2	2	no	—
796	C₂×Q₈	—	2	2	no	—
797	C₂×Q₈	—	4	4	no	—
798	C₂×Q₈	—	4	8	no	—
799	C₂×D₄	—	2	4	no	—
800	C₂×D₄	—	2	4	no	—
801	C₂×D₄	—	2	16	no	—
802	C₂×D₄	—	2	4	no	—
803	C₂×D₄	—	2	8	no	—
804	C₂×D₄	—	2	16	no	—
805	C₂×D₄	—	2	32	no	—
806	C₂×D₄	—	2	4	no	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	16	no	—
811	C₂×D₄	—	2	4	no	—
812	C₂×D₄	—	2	4	no	—
813	C₂×D₄	—	2	4	no	—
814	C₂×D₄	—	2	4	no	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	2	4	no	—
817	C₂×D₄	—	2	2	no	—
818	C₂×D₄	—	2	4	no	—
819	C₂×D₄	—	2	4	no	—
820	C₂×D₄	—	4	64	no	—
821	C₂×D₄	—	4	64	no	—
822	C₂×D₄	—	4	8	no	—
823	C₂×D₄	—	4	32	no	—
824	C₂×D₄	—	4	8	no	—
825	C₂×D₄	—	4	4	no	—
826	C₂×D₄	—	4	4	no	—
827	C₂×D₄	—	4	8	no	—
828	C₂×D₄	—	4	4	no	—
829	C₂×D₄	—	4	4	no	—
830	C₂×D₄	—	4	8	no	—
831	C₂×D₄	—	4	8	no	—
832	C₂×D₄	—	4	16	no	—
833	C₂×D₄	C₂×#41	1	8	yes	—
834	C₂×D₄	C₂×#41	1	8	yes	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	32	no	—
838	C₂²×C₄	—	2	4	no	—
839	C₂²×C₄	—	2	4	no	—
840	C₂²×C₄	—	2	4	no	—
841	C₂²×C₄	—	2	4	no	—
842	C₂²×C₄	—	2	4	no	—
843	C₂²×C₄	—	2	4	no	—
844	C₂²×C₄	—	2	16	no	—
845	C₂²×C₄	—	2	4	no	—
846	C₂²×C₄	—	2	4	no	—
847	C₂²×C₄	—	2	4	no	—
848	C₂²×C₄	—	2	4	no	—
849	C₂²×C₄	—	2	4	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	4	4	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	—	4	2	no	—
855	C₂²×C₄	—	4	4	no	—
856	C₂²×C₄	—	4	8	no	—
857	C₂²×C₄	—	4	8	no	—
858	C₂²×C₄	—	4	4	no	—
859	C₂²×C₄	—	4	4	no	—
860	C₂²×C₄	—	4	8	no	—
861	C₂²×C₄	—	4	8	no	—
862	C₂²×C₄	—	4	4	no	—
863	C₂²×C₄	—	4	8	no	—
864	C₂²×C₄	C₂×#41	1	4	yes	—
865	C₂²×C₄	C₂×#41	1	8	yes	—
866	C₂²×C₄	C₂×#41	1	8	yes	—
867	C₂²×C₄	C₂×#41	1	4	yes	—
868	C₂²×C₄	C₂×#41	1	4	yes	—
869	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
870	C₂²×C₄	C₂⁵	1	2	yes	—
871	C₂²×C₄	C₂⁵	1	4	yes	—
872	C₂²×C₄	C₂⁵	1	4	yes	—
873	C₂²×C₄	C₂⁵	1	2	yes	—
874	C₂²×C₄	C₂⁵	1	2	yes	—
875	C₂²×C₄	C₂⁵	1	4	yes	—
876	C₂²×C₄	C₂⁵	1	2	yes	—
877	C₂²×C₄	C₂⁵	1	2	yes	—
878	C₂²×C₄	C₂⁵	1	2	yes	—
879	C₂²×C₄	C₂⁵	1	4	yes	—
880	C₂²×C₄	C₂⁵	1	2	yes	—
881	C₂²×C₄	C₂⁵	1	2	yes	—
882	C₂²×C₄	C₂⁵	1	2	yes	—
883	C₂²×C₄	C₂⁵	1	4	yes	—
884	C₂²×C₄	C₂⁵	1	2	yes	—
885	C₂²×C₄	C₂⁵	1	4	yes	—
886	C₂²×C₄	C₂⁵	1	2	yes	—
887	C₂²×C₄	C₂⁵	1	2	yes	—
888	C₂²×C₄	C₂⁵	1	1	yes	characteristic
889	C₂²×C₄	C₂⁵	1	1	yes	characteristic
890	C₄⋊C₄	—	2	4	no	—
891	C₄⋊C₄	—	2	4	no	—
892	C₄⋊C₄	—	2	4	no	—
893	C₄⋊C₄	—	2	4	no	—
894	C₄⋊C₄	—	2	4	no	—
895	C₄⋊C₄	—	2	4	no	—
896	C₄⋊C₄	—	2	4	no	—
897	C₄⋊C₄	—	2	4	no	—
898	C₄⋊C₄	—	2	8	no	—
899	C₄⋊C₄	—	2	4	no	—
900	C₄⋊C₄	—	2	4	no	—
901	C₄⋊C₄	—	2	4	no	—
902	C₄⋊C₄	—	2	4	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	4	4	no	—
910	C₄⋊C₄	—	4	4	no	—
911	C₄⋊C₄	—	4	8	no	—
912	C₄⋊C₄	—	4	8	no	—
913	C₄⋊C₄	—	4	4	no	—
914	C₄⋊C₄	—	4	4	no	—
915	C₄⋊C₄	—	4	4	no	—
916	C₄⋊C₄	—	4	4	no	—
917	C₄⋊C₄	—	4	4	no	—
918	C₄⋊C₄	—	4	8	no	—
919	C₄⋊C₄	—	4	4	no	—
920	C₄⋊C₄	—	4	4	no	—
921	C₄⋊C₄	—	4	8	no	—
922	C₄⋊C₄	—	4	4	no	—
923	C₄⋊C₄	—	4	4	no	—
924	C₄⋊C₄	—	4	4	no	—
925	C₂²⋊C₄	—	2	4	no	—
926	C₂²⋊C₄	—	2	4	no	—
927	C₂²⋊C₄	—	2	4	no	—
928	C₂²⋊C₄	—	2	4	no	—
929	C₂²⋊C₄	—	2	4	no	—
930	C₂²⋊C₄	—	2	4	no	—
931	C₂²⋊C₄	—	2	16	no	—
932	C₂²⋊C₄	—	2	4	no	—
933	C₂²⋊C₄	—	2	4	no	—
934	C₂²⋊C₄	—	2	8	no	—
935	C₂²⋊C₄	—	2	16	no	—
936	C₂²⋊C₄	—	2	4	no	—
937	C₂²⋊C₄	—	2	4	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	8	no	—
940	C₂²⋊C₄	—	4	8	no	—
941	C₂²⋊C₄	—	4	4	no	—
942	C₂²⋊C₄	—	4	4	no	—
943	C₂²⋊C₄	—	4	4	no	—
944	C₂²⋊C₄	—	4	4	no	—
945	C₂²⋊C₄	—	4	4	no	—
946	C₂²⋊C₄	—	4	4	no	—
947	C₂²⋊C₄	—	4	8	no	—
948	C₂²⋊C₄	—	4	8	no	—
949	C₂²⋊C₄	—	4	8	no	—
950	C₂²⋊C₄	—	4	8	no	—
951	C₂²⋊C₄	—	4	8	no	—
952	C₂²⋊C₄	—	4	8	no	—
953	C₂²⋊C₄	—	4	8	no	—
954	C₂²⋊C₄	—	4	8	no	—
955	C₂²⋊C₄	—	4	8	no	—
956	C₂²⋊C₄	—	4	8	no	—
957	C₂²⋊C₄	—	4	8	no	—
958	C₂²⋊C₄	—	4	8	no	—
959	C₂²⋊C₄	—	4	4	no	—
960	C₂²⋊C₄	—	4	8	no	—
961	C₂²⋊C₄	—	4	4	no	—
962	C₂²⋊C₄	—	4	4	no	—
963	C₂²⋊C₄	—	4	4	no	—
964	C₂²⋊C₄	—	4	4	no	—
965	C₂²⋊C₄	—	4	4	no	—
966	C₂²⋊C₄	—	4	8	no	—
967	C₂²⋊C₄	—	4	8	no	—
968	C₂²⋊C₄	—	4	8	no	—
969	C₂²⋊C₄	—	4	4	no	—
970	C₂²⋊C₄	—	4	4	no	—
971	C₂²⋊C₄	—	4	8	no	—
972	C₂²⋊C₄	—	4	4	no	—
973	C₄²	—	2	4	no	—
974	C₄²	—	2	2	no	—
975	C₄²	—	2	2	no	—
976	C₄²	—	2	2	no	—
977	C₄²	—	2	2	no	—
978	C₄²	—	2	4	no	—
979	C₄²	—	2	4	no	—
980	C₄²	—	2	4	no	—
981	C₄²	—	2	4	no	—
982	C₄²	—	2	4	no	—
983	C₄²	—	2	4	no	—
984	C₄²	—	2	4	no	—
985	C₄²	—	2	4	no	—
986	C₄²	—	4	8	no	—
987	C₄²	—	4	4	no	—
988	C₄²	—	4	4	no	—
989	C₄²	—	4	8	no	—
990	C₄²	—	4	4	no	—
991	C₄²	—	4	4	no	—
992	C₄²	—	4	4	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	2	4	no	—
997	C₂³	—	2	2	no	—
998	C₂³	—	2	4	no	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	2	no	—
1001	C₂³	—	2	8	no	—
1002	C₂³	—	2	8	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	2	2	no	—
1005	C₂³	—	2	8	no	—
1006	C₂³	—	2	16	no	—
1007	C₂³	—	2	2	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	4	no	—
1010	C₂³	—	2	4	no	—
1011	C₂³	—	2	2	no	—
1012	C₂³	—	2	4	no	—
1013	C₂³	—	2	8	no	—
1014	C₂³	—	2	8	no	—
1015	C₂³	—	2	4	no	—
1016	C₂³	—	2	4	no	—
1017	C₂³	—	4	8	no	—
1018	C₂³	—	4	16	no	—
1019	C₂³	—	4	32	no	—
1020	C₂³	—	4	8	no	—
1021	C₂³	—	4	4	no	—
1022	C₂³	—	4	4	no	—
1023	C₂³	—	4	16	no	—
1024	C₂³	—	4	32	no	—
1025	C₂³	—	4	8	no	—
1026	C₂³	—	8	8	no	—
1027	C₂³	—	8	8	no	—
1028	C₂³	—	8	4	no	—
1029	C₂³	—	8	4	no	—
1030	C₂³	—	8	4	no	—
1031	C₂³	—	8	4	no	—
1032	C₂³	—	8	16	no	—
1033	C₂³	—	8	16	no	—
1034	C₂³	—	8	16	no	—
1035	C₂³	—	8	16	no	—
1036	C₂³	—	8	16	no	—
1037	C₂³	—	8	128	no	—
1038	C₂³	C₂²×#41	1	4	yes	—
1039	C₂³	C₂²×#41	1	8	yes	—
1040	C₂³	C₂²×#41	1	2	yes	—
1041	C₂³	C₂²×#41	1	2	yes	—
1042	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1043	C₂³	C₂⁶	1	1	yes	characteristic
1044	Q₈	—	4	4	no	—
1045	Q₈	—	16	4	no	—
1046	D₄	—	2	16	no	—
1047	D₄	—	2	16	no	—
1048	D₄	—	4	32	no	—
1049	D₄	—	4	8	no	—
1050	D₄	—	4	8	no	—
1051	D₄	—	4	8	no	—
1052	D₄	—	4	4	no	—
1053	D₄	—	8	16	no	—
1054	D₄	—	8	8	no	—
1055	D₄	—	16	4	no	—
1056	D₄	—	16	4	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	8	no	—
1060	C₂×C₄	—	2	16	no	—
1061	C₂×C₄	—	2	16	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	4	no	—
1067	C₂×C₄	—	2	4	no	—
1068	C₂×C₄	—	2	4	no	—
1069	C₂×C₄	—	2	4	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	4	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	4	no	—
1081	C₂×C₄	—	2	4	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	4	no	—
1087	C₂×C₄	—	2	4	no	—
1088	C₂×C₄	—	2	8	no	—
1089	C₂×C₄	—	2	4	no	—
1090	C₂×C₄	—	2	4	no	—
1091	C₂×C₄	—	2	4	no	—
1092	C₂×C₄	—	2	4	no	—
1093	C₂×C₄	—	2	4	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	8	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	4	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	4	no	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	4	8	no	—
1106	C₂×C₄	—	8	16	no	—
1107	C₂×C₄	—	8	4	no	—
1108	C₂×C₄	—	8	4	no	—
1109	C₂×C₄	—	8	4	no	—
1110	C₂×C₄	—	8	4	no	—
1111	C₂×C₄	—	16	4	no	—
1112	C₂×C₄	—	16	4	no	—
1113	C₂×C₄	—	16	4	no	—
1114	C₂×C₄	#551	1	16	yes	—
1115	C₂×C₄	C₂²×#41	1	4	yes	—
1116	C₂×C₄	C₂²×#41	1	2	yes	—
1117	C₂×C₄	C₂²×#41	1	2	yes	—
1118	C₂×C₄	C₂²×#41	1	2	yes	—
1119	C₂×C₄	C₂²×#41	1	2	yes	—
1120	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1121	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1122	C₂²	—	2	4	no	—
1123	C₂²	—	2	4	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	16	no	—
1127	C₂²	—	2	4	no	—
1128	C₂²	—	2	4	no	—
1129	C₂²	—	2	4	no	—
1130	C₂²	—	2	8	no	—
1131	C₂²	—	4	16	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	8	no	—
1135	C₂²	—	4	4	no	—
1136	C₂²	—	4	4	no	—
1137	C₂²	—	4	2	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	4	no	—
1140	C₂²	—	4	8	no	—
1141	C₂²	—	4	4	no	—
1142	C₂²	—	4	8	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	4	no	—
1146	C₂²	—	4	4	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	4	no	—
1149	C₂²	—	8	16	no	—
1150	C₂²	—	8	16	no	—
1151	C₂²	—	8	64	no	—
1152	C₂²	C₂×#551	1	4	yes	—
1153	C₂²	C₂³×#41	1	1	yes	characteristic
1154	C₂²	C₂³×#41	1	1	yes	characteristic
1155	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1156	C₂²	H(7,𝔽₂)	1	2	yes	—
1157	C₂²	H(7,𝔽₂)	1	2	yes	—
1158	C₄	—	2	4	no	—
1159	C₄	—	4	4	no	—
1160	C₄	—	4	4	no	—
1161	C₄	—	4	4	no	—
1162	C₄	—	4	2	no	—
1163	C₄	—	4	2	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	2	no	—
1166	C₄	—	4	4	no	—
1167	C₄	—	4	4	no	—
1168	C₄	—	4	4	no	—
1169	C₄	—	4	2	no	—
1170	C₄	—	4	2	no	—
1171	C₄	—	4	2	no	—
1172	C₄	—	4	2	no	—
1173	C₄	—	4	2	no	—
1174	C₄	—	4	2	no	—
1175	C₄	—	4	2	no	—
1176	C₄	C₂×#551	1	4	yes	—
1177	C₄	C₂×#551	1	4	yes	—
1178	C₂	—	2	4	no	—
1179	C₂	—	4	4	no	—
1180	C₂	—	4	8	no	—
1181	C₂	—	8	2	no	—
1182	C₂	—	8	4	no	—
1183	C₂	C₂²×#551	1	1	yes	characteristic
1184	C₂	#62846	1	2	yes	—
1185	C₂	#62855	1	2	yes	—
1186	C₂	#62876	1	1	yes	characteristic
1187	C₂	#62876	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#35222	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #45188	C₂	semidirect
2. #45019	C₂	semidirect
3. #44903	C₂	semidirect
4. #44901	C₂	semidirect
5. #39558	C₂	semidirect
6. #39070	C₂	semidirect
7. #39066	C₂	semidirect
8. #38254	C₂	semidirect
9. #38250	C₂	semidirect
10. #37848	C₂	semidirect
11. #35558	C₂	semidirect
12. #35541	C₂	semidirect
13. #35531	C₂	semidirect
14. #35529	C₂	semidirect
15. #35266	C₂	semidirect
16. #35264	C₂	semidirect
18. #35151	C₂	semidirect
19. #34635	C₂	semidirect
20. #34275	C₂	semidirect
21. #34255	C₂	semidirect
22. #34201	C₂	semidirect
23. #34171	C₂	semidirect
24. #34048	C₂	semidirect
25. C₂×#2309	C₂	semidirect
27. C₂×#544	C₂²	semidirect
31. C₂×#520	C₂²	semidirect
36. #2861	C₂²	semidirect
37. #2860	C₂²	semidirect
38. #2858	C₂²	semidirect
39. #2855	C₂²	semidirect
41. #2797	C₂²	semidirect
42. #2796	C₂²	semidirect
43. #2786	C₂²	semidirect
44. #2752	C₂²	semidirect
45. #2751	C₂²	semidirect
46. #2740	C₂²	semidirect
47. #2736	C₂²	semidirect
48. #2735	C₂²	semidirect
49. #2735	C₂²	semidirect
50. #2735	C₂²	semidirect
51. #2730	C₂²	semidirect
52. #2705	C₂²	semidirect
53. #2697	C₂²	semidirect
54. #2685	C₂²	semidirect
55. #2685	C₂²	semidirect
56. #2684	C₂²	semidirect
57. #2644	C₂²	semidirect
58. #2641	C₂²	semidirect
59. #2640	C₂²	semidirect
61. #2625	C₂²	semidirect
62. #2625	C₂²	semidirect
63. #2624	C₂²	semidirect
64. #2624	C₂²	semidirect
65. #2623	C₂²	semidirect
68. #2602	C₂²	semidirect
69. #2601	C₂²	semidirect
70. #2595	C₂²	semidirect
71. #2566	C₂²	semidirect
72. #2566	C₂²	semidirect
73. #2563	C₂²	semidirect
74. #2561	C₂²	semidirect
75. #2560	C₂²	semidirect
76. #2557	C₂²	semidirect
77. #2542	C₂²	semidirect
78. #2534	C₂²	semidirect
79. #2516	C₂²	semidirect
80. #2513	C₂²	semidirect
81. #2513	C₂²	semidirect
82. #2513	C₂²	semidirect
83. #2512	C₂²	semidirect
84. #2512	C₂²	semidirect
85. #2512	C₂²	semidirect
86. #2504	C₂²	semidirect
87. #2501	C₂²	semidirect
88. #2500	C₂²	semidirect
89. #2500	C₂²	semidirect
90. #2491	C₂²	semidirect
91. #2490	C₂²	semidirect
92. #2482	C₂²	semidirect
93. #2480	C₂²	semidirect
94. #2480	C₂²	semidirect
95. #2480	C₂²	semidirect
96. #2480	C₂²	semidirect
97. #2472	C₂²	semidirect
98. #2472	C₂²	semidirect
99. #2471	C₂²	semidirect
100. #2467	C₂²	semidirect
101. #2454	C₂²	semidirect
102. #2452	C₂²	semidirect
103. #2448	C₂²	semidirect
104. #2447	C₂²	semidirect
105. #2445	C₂²	semidirect
106. #2445	C₂²	semidirect
107. #2441	C₂²	semidirect
108. #2441	C₂²	semidirect
109. #2439	C₂²	semidirect
110. #2439	C₂²	semidirect
111. #2437	C₂²	semidirect
114. #2422	C₂²	semidirect
115. #2420	C₂²	semidirect
116. #2418	C₂²	semidirect
117. #2418	C₂²	semidirect
118. #2412	C₂²	semidirect
119. #2411	C₂²	semidirect
122. #2395	C₂²	semidirect
123. #2395	C₂²	semidirect
124. #2363	C₂²	semidirect
125. #2363	C₂²	semidirect
126. #2362	C₂²	semidirect
127. #2361	C₂²	semidirect
128. #2358	C₂²	semidirect
129. #2357	C₂²	semidirect
130. #2354	C₂²	semidirect
131. #2354	C₂²	semidirect
132. #2352	C₂²	semidirect
133. #2342	C₂²	semidirect
138. #2328	C₂²	semidirect
139. #2326	C₂²	semidirect
141. #2319	C₂²	semidirect
142. #2317	C₂²	semidirect
143. #2317	C₂²	semidirect
144. #2317	C₂²	semidirect
145. #2316	C₂²	semidirect
146. #2314	C₂²	semidirect
147. #2314	C₂²	semidirect
148. #2314	C₂²	semidirect
149. #2314	C₂²	semidirect
150. #2313	C₂²	semidirect
152. #2311	C₂²	semidirect
162. C₄×#127	C₂²	semidirect
163. C₄×#124	C₂²	semidirect
164. C₄×#123	C₂²	semidirect
165. #2298	C₂²	semidirect
166. #2298	C₂²	semidirect
167. #2297	C₂²	semidirect
168. #2297	C₂²	semidirect
169. #2296	C₂²	semidirect
170. #2296	C₂²	semidirect
171. #2293	C₂²	semidirect
177. #2285	C₂²	semidirect
178. #2285	C₂²	semidirect
184. #2274	C₂²	semidirect
185. C₄×#117	C₂²	semidirect
186. C₄×#117	C₂²	semidirect
201. C₂×C₄⋊Q₈	C₂³	semidirect
202. C₂×C₄⋊Q₈	C₂³	semidirect
205. C₂×#126	C₂³	semidirect
206. C₂×#126	C₂³	semidirect
207. C₂×#125	C₂³	semidirect
208. C₂×#125	C₂³	semidirect
211. C₂×#124	C₂³	semidirect
214. C₂×#123	C₂³	semidirect
215. C₂×#123	C₂³	semidirect
218. C₂×C₂²⋊Q₈	C₂³	semidirect
231. C₂×C₄×Q₈	C₂³	semidirect
240. C₂×C₄×D₄	C₂³	semidirect
241. C₂×C₄×D₄	C₂³	semidirect
257. C₂×#117	C₂³	semidirect
258. C₂×#117	C₂³	semidirect
262. C₂²×C₄⋊C₄	C₂³	semidirect
276. #400	C₂³	semidirect
277. #400	C₂³	semidirect
279. #399	C₂³	semidirect
280. #399	C₂³	semidirect
281. #399	C₂³	semidirect
282. #399	C₂³	semidirect
283. #398	C₂³	semidirect
284. #398	C₂³	semidirect
289. #397	C₂³	semidirect
290. #397	C₂³	semidirect
291. #397	C₂³	semidirect
292. #397	C₂³	semidirect
293. #397	C₂³	semidirect
294. #397	C₂³	semidirect
295. #397	C₂³	semidirect
296. #397	C₂³	semidirect
297. #397	C₂³	semidirect
298. #397	C₂³	semidirect
299. #397	C₂³	semidirect
300. #397	C₂³	semidirect
303. #396	C₂³	semidirect
304. #396	C₂³	semidirect
305. #396	C₂³	semidirect
306. #396	C₂³	semidirect
313. #394	C₂³	semidirect
314. #394	C₂³	semidirect
315. #394	C₂³	semidirect
316. #394	C₂³	semidirect
317. #394	C₂³	semidirect
318. #394	C₂³	semidirect
320. #393	C₂³	semidirect
321. #393	C₂³	semidirect
324. #391	C₂³	semidirect
325. #391	C₂³	semidirect
326. #391	C₂³	semidirect
327. #391	C₂³	semidirect
328. #391	C₂³	semidirect
357. #390	C₂³	semidirect
358. #390	C₂³	semidirect
359. #390	C₂³	semidirect
360. #390	C₂³	semidirect
361. #390	C₂³	semidirect
362. #390	C₂³	semidirect
363. #389	C₂³	semidirect
364. #389	C₂³	semidirect
365. #389	C₂³	semidirect
366. #389	C₂³	semidirect
367. #389	C₂³	semidirect
368. #389	C₂³	semidirect
369. #389	C₂³	semidirect
370. #389	C₂³	semidirect
371. #389	C₂³	semidirect
372. #389	C₂³	semidirect
383. #388	C₂³	semidirect
384. #388	C₂³	semidirect
385. #388	C₂³	semidirect
386. #388	C₂³	semidirect
387. #388	C₂³	semidirect
388. #388	C₂³	semidirect
389. #388	C₂³	semidirect
390. #388	C₂³	semidirect
391. #388	C₂³	semidirect
392. #388	C₂³	semidirect
393. #388	C₂³	semidirect
394. #388	C₂³	semidirect
395. #388	C₂³	semidirect
396. #388	C₂³	semidirect
397. #388	C₂³	semidirect
398. #388	C₂³	semidirect
399. #388	C₂³	semidirect
400. #387	C₂³	semidirect
401. #387	C₂³	semidirect
402. #387	C₂³	semidirect
403. #387	C₂³	semidirect
404. #387	C₂³	semidirect
405. #387	C₂³	semidirect
406. #387	C₂³	semidirect
407. #387	C₂³	semidirect
408. #387	C₂³	semidirect
409. #387	C₂³	semidirect
410. #387	C₂³	semidirect
419. #386	C₂³	semidirect
420. #386	C₂³	semidirect
421. #386	C₂³	semidirect
422. #386	C₂³	semidirect
428. #385	C₂³	semidirect
429. #385	C₂³	semidirect
430. #385	C₂³	semidirect
431. #385	C₂³	semidirect
432. #384	C₂³	semidirect
433. #384	C₂³	semidirect
434. #384	C₂³	semidirect
435. #384	C₂³	semidirect
436. #384	C₂³	semidirect
437. #384	C₂³	semidirect
438. #382	C₂³	semidirect
439. #382	C₂³	semidirect
440. #382	C₂³	semidirect
441. #382	C₂³	semidirect
442. #382	C₂³	semidirect
443. #382	C₂³	semidirect
447. #381	C₂³	semidirect
448. #381	C₂³	semidirect
458. #380	C₂³	semidirect
459. #380	C₂³	semidirect
460. #380	C₂³	semidirect
476. C₄×C₄⋊C₄	C₂³	semidirect
477. C₄×C₄⋊C₄	C₂³	semidirect
478. C₄×C₄⋊C₄	C₂³	semidirect
479. C₄×C₄⋊C₄	C₂³	semidirect
480. C₄×C₄⋊C₄	C₂³	semidirect
481. C₄×C₄⋊C₄	C₂³	semidirect
482. C₄×C₄⋊C₄	C₂³	semidirect
483. C₄×C₄⋊C₄	C₂³	semidirect
484. C₄×C₄⋊C₄	C₂³	semidirect
485. C₄×C₄⋊C₄	C₂³	semidirect
486. C₄×C₄⋊C₄	C₂³	semidirect
487. C₄×C₄⋊C₄	C₂³	semidirect
494. C₄×C₂²⋊C₄	C₂³	semidirect
495. C₄×C₂²⋊C₄	C₂³	semidirect
496. C₄×C₂²⋊C₄	C₂³	semidirect
497. C₄×C₂²⋊C₄	C₂³	semidirect
498. C₄×C₂²⋊C₄	C₂³	semidirect
499. C₄×C₂²⋊C₄	C₂³	semidirect
500. #376	C₂³	semidirect
501. #376	C₂³	semidirect
502. C₄³	C₂³	semidirect
503. C₄³	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#45188	2
#45019	2
#44903	2
#44901	2
#39558	2
#39070	2
#39066	2
#38254	2
#38250	2
#37848	2
#35558	2
#35541	2
#35531	2
#35529	2
#35266	2
#35264	2
#35222	2
#35151	2
#34635	2
#34275	2
#34255	2
#34201	2
#34171	2
#34048	2
C₂×#2309	2