Subgroups — #7650672

Order 512.

6210 conjugacy classes of subgroups.

The subgroup lattice has 1208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#42642	C₂	1	4	yes	maximal, complemented
2	#42634	C₂	1	4	yes	maximal, complemented
3	#42563	C₂	1	4	yes	maximal, complemented
4	#42544	C₂	1	4	yes	maximal, complemented
5	#40556	C₂	1	8	yes	maximal, complemented
6	#40169	C₂	1	4	yes	maximal, complemented
7	#40049	C₂	1	4	yes	maximal, complemented
8	#39034	C₂	1	4	yes	maximal, complemented
9	#39020	C₂	1	4	yes	maximal, complemented
10	#37848	C₂	1	8	yes	maximal, complemented
11	#35679	C₂	1	1	yes	maximal, characteristic, complemented
12	#35661	C₂	1	1	yes	maximal, characteristic, complemented
13	#35644	C₂	1	1	yes	maximal, characteristic, complemented
14	#35617	C₂	1	1	yes	maximal, characteristic, complemented
15	#35558	C₂	1	1	yes	maximal, characteristic, complemented
16	#35529	C₂	1	1	yes	maximal, characteristic, complemented
17	#35327	C₂	1	1	yes	maximal, characteristic, complemented
18	#35264	C₂	1	1	yes	maximal, characteristic, complemented
19	#35222	C₂	1	1	yes	maximal, characteristic
20	#34814	C₂	1	1	yes	maximal, characteristic, complemented
21	#34742	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2435	C₂	1	1	yes	maximal, characteristic, complemented
23	#34269	C₂	1	1	yes	maximal, characteristic, complemented
24	#34211	C₂	1	1	yes	maximal, characteristic, complemented
25	#34171	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×#536	C₂²	1	1	yes	characteristic, complemented
29	C₂×#535	C₂²	1	1	yes	characteristic
30	C₂×#535	C₂²	1	1	yes	characteristic
31	C₂²×#124	C₂²	1	1	yes	characteristic
32	C₂²×#124	C₂²	1	1	yes	characteristic
33	C₂×#525	C₂²	1	1	yes	characteristic
34	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×#519	C₂²	1	1	yes	characteristic, complemented
36	C₂×#518	C₂²	1	1	yes	characteristic
37	C₂×#518	C₂²	1	1	yes	characteristic
38	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
39	#2861	C₂²	1	2	yes	complemented
40	#2858	C₂²	1	2	yes	complemented
41	#2850	C₂²	1	2	yes	complemented
42	#2850	C₂²	1	2	yes	complemented
43	#2846	C₂²	1	4	yes	—
44	#2827	C₂²	1	8	yes	complemented
45	#2826	C₂²	1	8	yes	complemented
46	#2781	C₂²	1	8	yes	complemented
47	#2779	C₂²	1	8	yes	complemented
48	#2778	C₂²	1	8	yes	complemented
49	#2753	C₂²	1	8	yes	complemented
50	#2749	C₂²	1	8	yes	complemented
51	#2741	C₂²	1	8	yes	complemented
52	#2736	C₂²	1	8	yes	complemented
53	#2735	C₂²	1	8	yes	complemented
54	#2735	C₂²	1	8	yes	complemented
55	#2735	C₂²	1	8	yes	complemented
56	#2730	C₂²	1	8	yes	complemented
57	#2702	C₂²	1	8	yes	complemented
58	#2697	C₂²	1	8	yes	complemented
59	#2685	C₂²	1	8	yes	complemented
60	#2685	C₂²	1	8	yes	complemented
61	#2684	C₂²	1	8	yes	complemented
62	#2653	C₂²	1	8	yes	complemented
63	#2649	C₂²	1	8	yes	complemented
64	#2648	C₂²	1	8	yes	complemented
65	#2641	C₂²	1	2	yes	complemented
66	#2640	C₂²	1	2	yes	complemented
67	#2636	C₂²	1	8	yes	complemented
68	#2626	C₂²	1	8	yes	complemented
69	#2622	C₂²	1	8	yes	complemented
70	#2620	C₂²	1	2	yes	complemented
71	#2620	C₂²	1	2	yes	complemented
72	#2613	C₂²	1	4	yes	—
73	#2566	C₂²	1	2	yes	complemented
74	#2566	C₂²	1	2	yes	complemented
75	#2563	C₂²	1	2	yes	complemented
76	#2561	C₂²	1	4	yes	—
77	#2547	C₂²	1	2	yes	complemented
78	#2547	C₂²	1	2	yes	complemented
79	#2545	C₂²	1	4	yes	complemented
80	#2544	C₂²	1	2	yes	complemented
81	#2544	C₂²	1	2	yes	complemented
82	#2544	C₂²	1	4	yes	complemented
83	#2542	C₂²	1	2	yes	complemented
84	#2538	C₂²	1	4	yes	complemented
85	#2536	C₂²	1	4	yes	complemented
86	#2534	C₂²	1	8	yes	complemented
87	#2518	C₂²	1	8	yes	complemented
88	#2513	C₂²	1	4	yes	complemented
89	#2513	C₂²	1	4	yes	complemented
90	#2512	C₂²	1	4	yes	complemented
91	#2512	C₂²	1	4	yes	complemented
92	#2503	C₂²	1	4	yes	complemented
93	#2497	C₂²	1	2	yes	complemented
94	#2496	C₂²	1	2	yes	complemented
95	#2495	C₂²	1	2	yes	complemented
96	#2494	C₂²	1	2	yes	complemented
97	#2493	C₂²	1	4	yes	complemented
98	#2492	C₂²	1	4	yes	complemented
99	#2492	C₂²	1	4	yes	complemented
100	#2491	C₂²	1	4	yes	complemented
101	#2490	C₂²	1	4	yes	complemented
102	#2489	C₂²	1	4	yes	complemented
103	#2489	C₂²	1	4	yes	complemented
104	#2482	C₂²	1	8	yes	complemented
105	#2480	C₂²	1	4	yes	—
106	#2480	C₂²	1	8	yes	complemented
107	#2480	C₂²	1	8	yes	complemented
108	#2480	C₂²	1	8	yes	complemented
109	#2472	C₂²	1	8	yes	complemented
110	#2472	C₂²	1	8	yes	complemented
111	#2459	C₂²	1	8	yes	complemented
112	#2454	C₂²	1	4	yes	complemented
113	#2452	C₂²	1	4	yes	complemented
114	#2448	C₂²	1	4	yes	complemented
115	#2448	C₂²	1	4	yes	complemented
116	#2448	C₂²	1	4	yes	complemented
117	#2448	C₂²	1	4	yes	complemented
118	#2437	C₂²	1	8	yes	complemented
119	#2435	C₂²	1	4	yes	—
120	#2435	C₂²	1	4	yes	—
121	#2435	C₂²	1	4	yes	—
122	#2435	C₂²	1	4	yes	—
123	#2435	C₂²	1	4	yes	—
124	#2433	C₂²	1	4	yes	—
125	#2429	C₂²	1	4	yes	complemented
126	#2427	C₂²	1	4	yes	complemented
127	#2427	C₂²	1	4	yes	complemented
128	#2426	C₂²	1	4	yes	complemented
129	#2423	C₂²	1	2	yes	complemented
130	#2422	C₂²	1	2	yes	complemented
131	#2421	C₂²	1	2	yes	complemented
132	#2420	C₂²	1	2	yes	complemented
133	#2419	C₂²	1	4	yes	complemented
134	#2418	C₂²	1	4	yes	—
135	#2418	C₂²	1	8	yes	complemented
136	#2413	C₂²	1	4	yes	complemented
137	#2412	C₂²	1	8	yes	complemented
138	#2411	C₂²	1	4	yes	—
139	#2408	C₂²	1	4	yes	—
140	#2408	C₂²	1	4	yes	—
141	#2401	C₂²	1	4	yes	complemented
142	#2395	C₂²	1	4	yes	complemented
143	C₂×#394	C₂²	1	4	yes	—
144	#2367	C₂²	1	4	yes	complemented
145	#2367	C₂²	1	4	yes	complemented
146	#2367	C₂²	1	4	yes	complemented
147	#2366	C₂²	1	4	yes	complemented
148	#2358	C₂²	1	8	yes	complemented
149	#2342	C₂²	1	8	yes	complemented
150	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
151	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
152	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
153	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
154	#2326	C₂²	1	4	yes	complemented
155	#2324	C₂²	1	4	yes	complemented
156	#2321	C₂²	1	8	yes	complemented
157	#2317	C₂²	1	1	yes	characteristic, complemented
158	#2312	C₂²	1	8	yes	complemented
159	#2311	C₂²	1	1	yes	characteristic, complemented
160	#2310	C₂²	1	1	yes	characteristic, complemented
161	#2310	C₂²	1	1	yes	characteristic, complemented
162	#2309	C₂²	1	1	yes	characteristic
163	#2309	C₂²	1	1	yes	characteristic
164	#2309	C₂²	1	1	yes	characteristic
165	#2309	C₂²	1	1	yes	characteristic
166	#2308	C₂²	1	4	yes	—
167	C₄×#126	C₂²	1	4	yes	complemented
168	C₄×#124	C₂²	1	4	yes	complemented
169	C₄×#123	C₂²	1	4	yes	complemented
170	C₄×#121	C₂²	1	4	yes	complemented
171	#2297	C₂²	1	1	yes	characteristic, complemented
172	#2296	C₂²	1	1	yes	characteristic, complemented
173	#2296	C₂²	1	1	yes	characteristic, complemented
174	#2296	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
187	C₂⁶	C₂³	1	2	yes	—
188	C₂²×#41	C₂³	1	1	yes	characteristic
189	C₂³×Q₈	C₂³	1	1	yes	characteristic
190	C₂³×D₄	—	2	8	no	—
191	C₂³×D₄	—	4	4	no	—
192	C₂³×D₄	—	4	4	no	—
193	C₂³×D₄	C₂³	1	1	yes	characteristic
194	C₂³×D₄	C₂³	1	1	yes	characteristic
195	C₂³×D₄	C₂³	1	2	yes	—
196	C₂³×D₄	C₂³	1	4	yes	—
197	C₂³×D₄	C₂³	1	4	yes	—
198	C₂⁴×C₄	C₂³	1	1	yes	characteristic
199	#544	—	4	4	no	—
200	#536	—	4	4	no	—
201	#535	—	2	8	no	—
202	#535	—	4	4	no	—
203	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
204	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
205	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
206	C₂×#127	C₂³	1	2	yes	—
207	C₂×#127	C₂³	1	2	yes	—
208	C₂×#126	C₂³	1	4	yes	—
209	C₂×#126	C₂³	1	8	yes	complemented
210	C₂×#125	C₂³	1	2	yes	complemented
211	C₂×#125	C₂³	1	2	yes	complemented
212	C₂×#124	—	2	8	no	—
213	C₂×#124	—	4	4	no	—
214	C₂×#124	C₂³	1	2	yes	—
215	C₂×#124	C₂³	1	4	yes	—
216	C₂×#124	C₂³	1	2	yes	—
217	C₂×#124	C₂³	1	2	yes	—
218	C₂×#124	C₂³	1	2	yes	—
219	C₂×#124	C₂³	1	2	yes	—
220	C₂×#124	C₂³	1	2	yes	—
221	C₂×#124	C₂³	1	4	yes	—
222	C₂×#124	C₂³	1	2	yes	complemented
223	C₂×#124	C₂³	1	8	yes	complemented
224	#525	—	4	4	no	—
225	C₂×#123	C₂³	1	2	yes	—
226	C₂×#123	C₂³	1	4	yes	—
227	C₂×#123	C₂³	1	4	yes	—
228	C₂×C₂²⋊Q₈	—	4	4	no	—
229	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
230	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
231	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
232	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
233	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
234	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
235	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
236	C₂×#121	C₂³	1	4	yes	—
237	C₂×#121	C₂³	1	2	yes	—
238	C₂×#121	C₂³	1	2	yes	—
239	C₂×#121	C₂³	1	2	yes	—
240	C₂×#120	C₂³	1	4	yes	—
241	C₂×#120	C₂³	1	8	yes	—
242	C₂×#120	C₂³	1	2	yes	—
243	C₂×#120	C₂³	1	4	yes	—
244	C₂×#120	C₂³	1	8	yes	—
245	#519	—	4	4	no	—
246	#518	—	4	4	no	—
247	#518	—	4	4	no	—
248	C₄×#41	—	4	4	no	—
249	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
250	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
251	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
252	C₂×C₄×D₄	C₂³	1	2	yes	—
253	C₂×C₄×D₄	C₂³	1	2	yes	—
254	C₂×C₄×D₄	C₂³	1	4	yes	—
255	C₂×C₄×D₄	C₂³	1	4	yes	—
256	C₂×C₄×D₄	C₂³	1	2	yes	—
257	C₂×C₄×D₄	C₂³	1	2	yes	—
258	C₂×C₄×D₄	C₂³	1	4	yes	—
259	C₂×C₄×D₄	C₂³	1	4	yes	—
260	C₂×C₄×D₄	C₂³	1	2	yes	complemented
261	C₂×C₄×D₄	C₂³	1	8	yes	complemented
262	C₂×#117	C₂³	1	1	yes	characteristic
263	C₂×#117	C₂³	1	1	yes	characteristic
264	C₂×#117	C₂³	1	1	yes	characteristic
265	C₂×#117	C₂³	1	1	yes	characteristic
266	C₂×#117	C₂³	1	1	yes	characteristic
267	C₂×#117	C₂³	1	1	yes	characteristic
268	C₂×#117	C₂³	1	1	yes	characteristic
269	C₂×#117	C₂³	1	4	yes	—
270	C₂×#117	C₂³	1	2	yes	complemented
271	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
273	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
274	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
275	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
276	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
277	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
278	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
279	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
281	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
282	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
283	C₂²×C₄²	C₂³	1	1	yes	characteristic
284	C₂²×C₄²	C₂³	1	1	yes	characteristic
285	C₂²×C₄²	C₂³	1	2	yes	complemented
286	#401	C₂³	1	4	yes	complemented
287	#400	C₂³	1	4	yes	complemented
288	#400	C₂³	1	8	yes	complemented
289	#400	C₂³	1	4	yes	complemented
290	#400	C₂³	1	8	yes	complemented
291	#400	C₂³	1	4	yes	complemented
292	#400	C₂³	1	4	yes	complemented
293	#399	C₂³	1	4	yes	—
294	#399	C₂³	1	8	yes	complemented
295	#399	C₂³	1	8	yes	complemented
296	#399	C₂³	1	8	yes	complemented
297	#398	C₂³	1	4	yes	complemented
298	#398	C₂³	1	8	yes	complemented
299	#397	C₂³	1	8	yes	—
300	#397	C₂³	1	4	yes	—
301	#397	C₂³	1	4	yes	—
302	#397	C₂³	1	4	yes	—
303	#397	C₂³	1	4	yes	—
304	#397	C₂³	1	4	yes	complemented
305	#397	C₂³	1	8	yes	complemented
306	#397	C₂³	1	8	yes	complemented
307	#397	C₂³	1	8	yes	complemented
308	#397	C₂³	1	8	yes	complemented
309	#397	C₂³	1	4	yes	complemented
310	#397	C₂³	1	8	yes	complemented
311	#397	C₂³	1	8	yes	complemented
312	#397	C₂³	1	8	yes	complemented
313	#397	C₂³	1	8	yes	complemented
314	#396	C₂³	1	4	yes	—
315	#396	C₂³	1	8	yes	—
316	#396	C₂³	1	8	yes	complemented
317	#396	C₂³	1	8	yes	complemented
318	#396	C₂³	1	8	yes	complemented
319	#396	C₂³	1	8	yes	complemented
320	#396	C₂³	1	8	yes	complemented
321	#396	C₂³	1	8	yes	complemented
322	#394	C₂³	1	8	yes	—
323	#394	C₂³	1	8	yes	—
324	#394	C₂³	1	8	yes	—
325	#394	C₂³	1	4	yes	—
326	#394	C₂³	1	8	yes	—
327	#394	C₂³	1	8	yes	—
328	#394	C₂³	1	8	yes	—
329	#394	C₂³	1	8	yes	—
330	#394	C₂³	1	4	yes	—
331	#394	C₂³	1	8	yes	complemented
332	#394	C₂³	1	8	yes	complemented
333	#394	C₂³	1	8	yes	complemented
334	#394	C₂³	1	8	yes	complemented
335	#394	C₂³	1	8	yes	complemented
336	#394	C₂³	1	8	yes	complemented
337	#393	C₂³	1	8	yes	—
338	#393	C₂³	1	8	yes	complemented
339	#393	C₂³	1	8	yes	complemented
340	#392	C₂³	1	8	yes	—
341	#392	C₂³	1	8	yes	—
342	#391	C₂³	1	4	yes	complemented
343	#391	C₂³	1	2	yes	complemented
344	#391	C₂³	1	2	yes	complemented
345	#391	C₂³	1	4	yes	complemented
346	#391	C₂³	1	2	yes	complemented
347	#391	C₂³	1	2	yes	complemented
348	#391	C₂³	1	2	yes	complemented
349	#391	C₂³	1	1	yes	characteristic, complemented
350	#391	C₂³	1	1	yes	characteristic, complemented
351	#391	C₂³	1	8	yes	complemented
352	#390	C₂³	1	2	yes	—
353	#390	C₂³	1	2	yes	—
354	#390	C₂³	1	2	yes	—
355	#390	C₂³	1	4	yes	—
356	#390	C₂³	1	2	yes	—
357	#390	C₂³	1	2	yes	—
358	#390	C₂³	1	2	yes	—
359	#390	C₂³	1	2	yes	—
360	#390	C₂³	1	4	yes	—
361	#390	C₂³	1	4	yes	—
362	#390	C₂³	1	4	yes	—
363	#390	C₂³	1	4	yes	—
364	#390	C₂³	1	2	yes	—
365	#390	C₂³	1	8	yes	—
366	#390	C₂³	1	2	yes	—
367	#390	C₂³	1	4	yes	—
368	#390	C₂³	1	2	yes	—
369	#390	C₂³	1	4	yes	—
370	#390	C₂³	1	2	yes	complemented
371	#390	C₂³	1	8	yes	complemented
372	#390	C₂³	1	8	yes	complemented
373	#390	C₂³	1	1	yes	characteristic, complemented
374	#390	C₂³	1	1	yes	characteristic, complemented
375	#389	C₂³	1	4	yes	complemented
376	#389	C₂³	1	2	yes	complemented
377	#389	C₂³	1	8	yes	complemented
378	#389	C₂³	1	2	yes	complemented
379	#389	C₂³	1	2	yes	complemented
380	#389	C₂³	1	2	yes	complemented
381	#389	C₂³	1	2	yes	complemented
382	#389	C₂³	1	2	yes	complemented
383	#388	C₂³	1	4	yes	—
384	#388	C₂³	1	4	yes	—
385	#388	C₂³	1	4	yes	—
386	#388	C₂³	1	8	yes	—
387	#388	C₂³	1	8	yes	—
388	#388	C₂³	1	4	yes	—
389	#388	C₂³	1	8	yes	—
390	#388	C₂³	1	4	yes	—
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	#388	C₂³	1	8	yes	complemented
401	#388	C₂³	1	8	yes	complemented
402	#388	C₂³	1	8	yes	complemented
403	#388	C₂³	1	8	yes	complemented
404	#388	C₂³	1	8	yes	complemented
405	#388	C₂³	1	8	yes	complemented
406	#388	C₂³	1	8	yes	complemented
407	#388	C₂³	1	8	yes	complemented
408	#388	C₂³	1	8	yes	complemented
409	#387	C₂³	1	4	yes	complemented
410	#387	C₂³	1	4	yes	complemented
411	#387	C₂³	1	4	yes	complemented
412	#387	C₂³	1	4	yes	complemented
413	#387	C₂³	1	4	yes	complemented
414	#386	C₂³	1	8	yes	—
415	#386	C₂³	1	8	yes	—
416	#386	C₂³	1	8	yes	—
417	#386	C₂³	1	8	yes	—
418	#386	C₂³	1	4	yes	—
419	#386	C₂³	1	4	yes	—
420	#386	C₂³	1	4	yes	—
421	#386	C₂³	1	8	yes	complemented
422	#386	C₂³	1	8	yes	complemented
423	#386	C₂³	1	8	yes	complemented
424	#386	C₂³	1	8	yes	complemented
425	#386	C₂³	1	8	yes	complemented
426	#386	C₂³	1	8	yes	complemented
427	#385	C₂³	1	4	yes	—
428	#385	C₂³	1	4	yes	—
429	#385	C₂³	1	4	yes	—
430	#385	C₂³	1	4	yes	—
431	#385	C₂³	1	8	yes	complemented
432	#385	C₂³	1	8	yes	complemented
433	#385	C₂³	1	8	yes	complemented
434	#385	C₂³	1	8	yes	complemented
435	#385	C₂³	1	8	yes	complemented
436	#385	C₂³	1	4	yes	complemented
437	#384	C₂³	1	1	yes	characteristic, complemented
438	#384	C₂³	1	2	yes	complemented
439	#384	C₂³	1	2	yes	complemented
440	#384	C₂³	1	1	yes	characteristic, complemented
441	#383	C₂³	1	4	yes	complemented
442	#382	C₂³	1	1	yes	characteristic, complemented
443	#382	C₂³	1	2	yes	complemented
444	#382	C₂³	1	1	yes	characteristic, complemented
445	#382	C₂³	1	8	yes	complemented
446	#382	C₂³	1	2	yes	complemented
447	#381	C₂³	1	4	yes	—
448	#381	C₂³	1	4	yes	—
449	#381	C₂³	1	2	yes	—
450	#381	C₂³	1	2	yes	—
451	#381	C₂³	1	2	yes	—
452	#381	C₂³	1	4	yes	complemented
453	#380	C₂³	1	2	yes	—
454	#380	C₂³	1	2	yes	—
455	#380	C₂³	1	2	yes	—
456	#380	C₂³	1	2	yes	—
457	#380	C₂³	1	4	yes	—
458	#380	C₂³	1	2	yes	—
459	#380	C₂³	1	2	yes	—
460	#380	C₂³	1	4	yes	—
461	#380	C₂³	1	8	yes	complemented
462	#380	C₂³	1	4	yes	complemented
463	#380	C₂³	1	8	yes	complemented
464	#380	C₂³	1	8	yes	complemented
465	#379	C₂³	1	2	yes	—
466	#379	C₂³	1	2	yes	—
467	#379	C₂³	1	4	yes	—
468	#379	C₂³	1	4	yes	—
469	#379	C₂³	1	4	yes	—
470	#379	C₂³	1	4	yes	—
471	#379	C₂³	1	8	yes	—
472	#379	C₂³	1	8	yes	—
473	#379	C₂³	1	8	yes	—
474	#379	C₂³	1	8	yes	—
475	#379	C₂³	1	8	yes	—
476	#379	C₂³	1	8	yes	—
477	#379	C₂³	1	2	yes	—
478	#379	C₂³	1	8	yes	—
479	#379	C₂³	1	8	yes	—
480	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
481	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
482	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
483	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
484	C₄×C₄⋊C₄	C₂³	1	2	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×C₄⋊C₄	C₂³	1	2	yes	complemented
489	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
490	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
491	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
492	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
493	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
494	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
495	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
496	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
497	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
498	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
499	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
500	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
501	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
502	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
503	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
504	#376	C₂³	1	2	yes	complemented
505	C₂×#95	C₂³	1	2	yes	—
506	C₄³	C₂³	1	2	yes	complemented
507	C₂⁵	—	2	8	no	—
508	C₂⁵	—	4	4	no	—
509	C₂⁵	—	4	4	no	—
510	C₂⁵	—	4	8	no	—
511	C₂⁵	—	8	4	no	—
512	C₂⁵	C₂⁴	1	1	yes	characteristic
513	C₂⁵	C₂⁴	1	2	yes	—
514	C₂⁵	C₂⁴	1	8	yes	—
515	C₂⁵	C₂⁴	1	2	yes	—
516	C₂×#41	—	2	4	no	—
517	C₂×#41	—	2	4	no	—
518	C₂×#41	—	2	4	no	—
519	C₂²×Q₈	—	2	4	no	—
520	C₂²×Q₈	—	2	4	no	—
521	C₂²×Q₈	—	2	4	no	—
522	C₂²×Q₈	C₂⁴	1	2	yes	—
523	C₂²×Q₈	C₂⁴	1	2	yes	—
524	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂²×Q₈	C₂⁴	1	4	yes	—
526	C₂²×D₄	—	2	8	no	—
527	C₂²×D₄	—	2	16	no	—
528	C₂²×D₄	—	2	16	no	—
529	C₂²×D₄	—	2	4	no	—
530	C₂²×D₄	—	2	4	no	—
531	C₂²×D₄	—	2	4	no	—
532	C₂²×D₄	—	2	4	no	—
533	C₂²×D₄	—	2	4	no	—
534	C₂²×D₄	—	4	8	no	—
535	C₂²×D₄	—	4	8	no	—
536	C₂²×D₄	—	4	8	no	—
537	C₂²×D₄	—	4	8	no	—
538	C₂²×D₄	—	4	4	no	—
539	C₂²×D₄	—	4	4	no	—
540	C₂²×D₄	—	4	64	no	—
541	C₂²×D₄	#41	1	8	yes	—
542	C₂²×D₄	C₂⁴	1	2	yes	—
543	C₂²×D₄	C₂⁴	1	1	yes	characteristic
544	C₂²×D₄	C₂⁴	1	2	yes	—
545	C₂²×D₄	C₂⁴	1	2	yes	—
546	C₂²×D₄	C₂⁴	1	2	yes	—
547	C₂²×D₄	C₂⁴	1	2	yes	—
548	C₂²×D₄	C₂⁴	1	4	yes	—
549	C₂²×D₄	C₂⁴	1	8	yes	—
550	C₂²×D₄	C₂⁴	1	8	yes	—
551	C₂²×D₄	C₂⁴	1	4	yes	—
552	C₂²×D₄	C₂⁴	1	4	yes	—
553	C₂³×C₄	—	2	4	no	—
554	C₂³×C₄	—	2	4	no	—
555	C₂³×C₄	—	2	4	no	—
556	C₂³×C₄	C₂⁴	1	2	yes	—
557	C₂³×C₄	C₂⁴	1	1	yes	characteristic
558	C₂³×C₄	C₂⁴	1	2	yes	—
559	C₂³×C₄	C₂⁴	1	2	yes	—
560	C₂³×C₄	C₂⁴	1	2	yes	—
561	C₂³×C₄	C₂⁴	1	2	yes	—
562	C₂³×C₄	C₂⁴	1	2	yes	—
563	C₂³×C₄	C₂⁴	1	2	yes	—
564	C₂³×C₄	C₂⁴	1	8	yes	—
565	C₂³×C₄	C₂⁴	1	4	yes	—
566	C₂³×C₄	C₂⁴	1	4	yes	—
567	C₂³×C₄	C₂⁴	1	4	yes	—
568	C₂³×C₄	C₂⁴	1	1	yes	characteristic
569	C₄⋊Q₈	—	4	4	no	—
570	C₄⋊Q₈	—	4	4	no	—
571	C₄⋊Q₈	—	4	4	no	—
572	#127	—	2	8	no	—
573	#127	—	4	4	no	—
574	#126	—	4	8	no	—
575	#126	—	8	8	no	—
576	#125	—	4	4	no	—
577	#125	—	4	4	no	—
578	#124	—	2	16	no	—
579	#124	—	2	8	no	—
580	#124	—	2	8	no	—
581	#124	—	2	8	no	—
582	#124	—	4	4	no	—
583	#124	—	4	4	no	—
584	#124	—	4	8	no	—
585	#124	—	4	4	no	—
586	#124	—	4	4	no	—
587	#124	—	8	8	no	—
588	#123	—	4	8	no	—
589	#123	—	4	4	no	—
590	#123	—	4	8	no	—
591	C₂²⋊Q₈	—	4	8	no	—
592	C₂²⋊Q₈	—	4	8	no	—
593	C₂²⋊Q₈	—	4	8	no	—
594	C₂²⋊Q₈	—	4	4	no	—
595	C₂²⋊Q₈	—	4	4	no	—
596	C₂²⋊Q₈	—	4	4	no	—
597	C₂²⋊Q₈	—	8	8	no	—
598	#121	—	2	16	no	—
599	#121	—	4	4	no	—
600	#121	—	4	4	no	—
601	#121	—	4	4	no	—
602	#120	—	2	16	no	—
603	#120	—	4	16	no	—
604	#120	—	4	4	no	—
605	#120	—	4	8	no	—
606	#120	—	8	8	no	—
607	C₄×Q₈	—	4	4	no	—
608	C₄×Q₈	—	4	8	no	—
609	C₄×Q₈	—	4	8	no	—
610	C₄×D₄	—	4	8	no	—
611	C₄×D₄	—	4	8	no	—
612	C₄×D₄	—	4	4	no	—
613	C₄×D₄	—	4	4	no	—
614	C₄×D₄	—	4	4	no	—
615	C₄×D₄	—	4	4	no	—
616	C₄×D₄	—	4	4	no	—
617	C₄×D₄	—	4	8	no	—
618	C₄×D₄	—	4	8	no	—
619	C₄×D₄	—	8	8	no	—
620	#117	—	2	4	no	—
621	#117	—	2	4	no	—
622	#117	—	2	4	no	—
623	#117	—	2	4	no	—
624	#117	—	2	4	no	—
625	#117	—	2	4	no	—
626	#117	—	2	4	no	—
627	#117	—	4	4	no	—
628	#117	—	4	8	no	—
629	C₂×C₄⋊C₄	—	2	4	no	—
630	C₂×C₄⋊C₄	—	4	4	no	—
631	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
632	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
634	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
635	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
640	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
643	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
644	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
645	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
646	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
647	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
648	C₂×C₄⋊C₄	C₂⁴	1	4	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×C₄⋊C₄	C₂⁴	1	4	yes	—
653	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
654	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
655	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
656	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
657	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
658	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
659	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
660	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
661	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
662	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
663	C₂×C₂²⋊C₄	—	2	16	no	—
664	C₂×C₂²⋊C₄	—	4	16	no	—
665	C₂×C₂²⋊C₄	—	4	4	no	—
666	C₂×C₂²⋊C₄	—	4	8	no	—
667	C₂×C₂²⋊C₄	—	4	8	no	—
668	C₂×C₂²⋊C₄	—	4	4	no	—
669	C₂×C₂²⋊C₄	—	4	8	no	—
670	C₂×C₂²⋊C₄	—	8	8	no	—
671	C₂×C₂²⋊C₄	—	8	4	no	—
672	C₂×C₂²⋊C₄	—	8	4	no	—
673	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
681	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
682	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
687	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
688	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
689	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
690	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
691	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
692	C₂×C₂²⋊C₄	C₂⁴	1	4	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	8	yes	—
697	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
698	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
699	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
700	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
701	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
702	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
709	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
711	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
714	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
715	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
716	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
717	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
718	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
719	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
720	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
721	C₂×C₄²	—	2	4	no	—
722	C₂×C₄²	—	2	4	no	—
723	C₂×C₄²	—	4	4	no	—
724	C₂×C₄²	C₂⁴	1	2	yes	—
725	C₂×C₄²	C₂⁴	1	2	yes	—
726	C₂×C₄²	C₂⁴	1	2	yes	—
727	C₂×C₄²	C₂⁴	1	2	yes	—
728	C₂×C₄²	C₂⁴	1	2	yes	—
729	C₂×C₄²	C₂⁴	1	2	yes	—
730	C₂×C₄²	C₂⁴	1	2	yes	—
731	C₂×C₄²	C₂⁴	1	1	yes	characteristic
732	C₂×C₄²	C₂⁴	1	2	yes	—
733	C₂×C₄²	C₂⁴	1	1	yes	characteristic
734	C₂×C₄²	C₂⁴	1	1	yes	characteristic
735	C₂×C₄²	C₂⁴	1	2	yes	—
736	C₂×C₄²	C₂⁴	1	1	yes	characteristic
737	C₂×C₄²	C₂⁴	1	8	yes	—
738	C₂×C₄²	C₂⁴	1	4	yes	—
739	C₂×C₄²	C₂⁴	1	8	yes	—
740	C₂×C₄²	C₂⁴	1	4	yes	—
741	C₂×C₄²	C₂⁴	1	4	yes	—
742	#95	C₂⁴	1	2	yes	—
743	#95	C₂⁴	1	2	yes	—
744	#95	C₂⁴	1	2	yes	—
745	#95	C₂⁴	1	2	yes	—
746	#95	C₂⁴	1	4	yes	—
747	#95	C₂⁴	1	4	yes	—
748	#95	C₂⁴	1	8	yes	—
749	#95	C₂⁴	1	4	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	4	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	#95	C₂⁴	1	8	yes	—
762	#95	C₂⁴	1	8	yes	—
763	#95	C₂⁴	1	4	yes	—
764	#95	C₂⁴	1	4	yes	—
765	#95	C₂⁴	1	4	yes	—
766	#95	C₂⁴	1	4	yes	—
767	#95	C₂⁴	1	4	yes	—
768	#95	C₂⁴	1	4	yes	—
769	#95	C₂⁴	1	4	yes	—
770	#95	C₂⁴	1	8	yes	—
771	#95	C₂⁴	1	8	yes	—
772	#95	C₂⁴	1	8	yes	—
773	C₂⁴	—	2	2	no	—
774	C₂⁴	—	2	4	no	—
775	C₂⁴	—	2	4	no	—
776	C₂⁴	—	2	4	no	—
777	C₂⁴	—	2	2	no	—
778	C₂⁴	—	2	4	no	—
779	C₂⁴	—	2	2	no	—
780	C₂⁴	—	2	16	no	—
781	C₂⁴	—	2	4	no	—
782	C₂⁴	—	2	4	no	—
783	C₂⁴	—	2	16	no	—
784	C₂⁴	—	4	2	no	—
785	C₂⁴	—	4	4	no	—
786	C₂⁴	—	4	4	no	—
787	C₂⁴	—	4	8	no	—
788	C₂⁴	—	4	8	no	—
789	C₂⁴	—	4	8	no	—
790	C₂⁴	—	4	4	no	—
791	C₂⁴	—	4	4	no	—
792	C₂⁴	—	4	8	no	—
793	C₂⁴	—	4	8	no	—
794	C₂⁴	—	4	32	no	—
795	C₂⁴	—	8	16	no	—
796	C₂⁴	—	8	32	no	—
797	C₂⁴	—	8	32	no	—
798	C₂⁴	—	8	16	no	—
799	C₂⁴	C₂×#41	1	8	yes	—
800	C₂⁴	C₂⁵	1	4	yes	—
801	C₂⁴	C₂⁵	1	2	yes	—
802	C₂⁴	C₂⁵	1	4	yes	—
803	C₂⁴	C₂⁵	1	2	yes	—
804	C₂⁴	C₂⁵	1	1	yes	characteristic
805	#41	—	4	16	no	—
806	C₂×Q₈	—	2	4	no	—
807	C₂×Q₈	—	2	4	no	—
808	C₂×Q₈	—	2	2	no	—
809	C₂×Q₈	—	2	2	no	—
810	C₂×Q₈	—	2	4	no	—
811	C₂×Q₈	—	2	4	no	—
812	C₂×Q₈	—	2	4	no	—
813	C₂×Q₈	—	2	4	no	—
814	C₂×Q₈	—	2	2	no	—
815	C₂×Q₈	—	4	4	no	—
816	C₂×Q₈	—	4	8	no	—
817	C₂×Q₈	—	4	16	no	—
818	C₂×D₄	—	2	4	no	—
819	C₂×D₄	—	2	16	no	—
820	C₂×D₄	—	2	4	no	—
821	C₂×D₄	—	2	4	no	—
822	C₂×D₄	—	2	16	no	—
823	C₂×D₄	—	2	8	no	—
824	C₂×D₄	—	2	32	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	4	no	—
827	C₂×D₄	—	2	4	no	—
828	C₂×D₄	—	2	4	no	—
829	C₂×D₄	—	2	4	no	—
830	C₂×D₄	—	2	4	no	—
831	C₂×D₄	—	2	4	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	4	no	—
834	C₂×D₄	—	2	2	no	—
835	C₂×D₄	—	2	4	no	—
836	C₂×D₄	—	2	4	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	4	8	no	—
839	C₂×D₄	—	4	8	no	—
840	C₂×D₄	—	4	4	no	—
841	C₂×D₄	—	4	8	no	—
842	C₂×D₄	—	4	8	no	—
843	C₂×D₄	—	4	4	no	—
844	C₂×D₄	—	4	4	no	—
845	C₂×D₄	—	4	4	no	—
846	C₂×D₄	—	4	8	no	—
847	C₂×D₄	—	4	8	no	—
848	C₂×D₄	—	4	64	no	—
849	C₂×D₄	—	4	64	no	—
850	C₂×D₄	—	4	32	no	—
851	C₂×D₄	—	4	16	no	—
852	C₂×D₄	C₂×#41	1	8	yes	—
853	C₂×D₄	C₂×#41	1	8	yes	—
854	C₂²×C₄	—	2	4	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	4	no	—
857	C₂²×C₄	—	2	4	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	4	no	—
861	C₂²×C₄	—	2	4	no	—
862	C₂²×C₄	—	2	4	no	—
863	C₂²×C₄	—	2	4	no	—
864	C₂²×C₄	—	2	4	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	2	4	no	—
867	C₂²×C₄	—	2	4	no	—
868	C₂²×C₄	—	2	4	no	—
869	C₂²×C₄	—	2	4	no	—
870	C₂²×C₄	—	2	4	no	—
871	C₂²×C₄	—	2	4	no	—
872	C₂²×C₄	—	4	4	no	—
873	C₂²×C₄	—	4	2	no	—
874	C₂²×C₄	—	4	2	no	—
875	C₂²×C₄	—	4	2	no	—
876	C₂²×C₄	—	4	4	no	—
877	C₂²×C₄	—	4	2	no	—
878	C₂²×C₄	—	4	4	no	—
879	C₂²×C₄	—	4	4	no	—
880	C₂²×C₄	—	4	8	no	—
881	C₂²×C₄	—	4	4	no	—
882	C₂²×C₄	—	4	4	no	—
883	C₂²×C₄	—	4	8	no	—
884	C₂²×C₄	—	4	8	no	—
885	C₂²×C₄	—	4	8	no	—
886	C₂²×C₄	—	4	8	no	—
887	C₂²×C₄	—	4	16	no	—
888	C₂²×C₄	C₂×#41	1	4	yes	—
889	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
890	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
891	C₂²×C₄	C₂⁵	1	2	yes	—
892	C₂²×C₄	C₂⁵	1	4	yes	—
893	C₂²×C₄	C₂⁵	1	2	yes	—
894	C₂²×C₄	C₂⁵	1	2	yes	—
895	C₂²×C₄	C₂⁵	1	4	yes	—
896	C₂²×C₄	C₂⁵	1	2	yes	—
897	C₂²×C₄	C₂⁵	1	2	yes	—
898	C₂²×C₄	C₂⁵	1	2	yes	—
899	C₂²×C₄	C₂⁵	1	2	yes	—
900	C₂²×C₄	C₂⁵	1	2	yes	—
901	C₂²×C₄	C₂⁵	1	2	yes	—
902	C₂²×C₄	C₂⁵	1	4	yes	—
903	C₂²×C₄	C₂⁵	1	4	yes	—
904	C₂²×C₄	C₂⁵	1	2	yes	—
905	C₂²×C₄	C₂⁵	1	4	yes	—
906	C₂²×C₄	C₂⁵	1	2	yes	—
907	C₂²×C₄	C₂⁵	1	4	yes	—
908	C₂²×C₄	C₂⁵	1	2	yes	—
909	C₂²×C₄	C₂⁵	1	1	yes	characteristic
910	C₂²×C₄	C₂⁵	1	1	yes	characteristic
911	C₄⋊C₄	—	2	4	no	—
912	C₄⋊C₄	—	2	4	no	—
913	C₄⋊C₄	—	2	4	no	—
914	C₄⋊C₄	—	2	4	no	—
915	C₄⋊C₄	—	2	4	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	4	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	4	8	no	—
924	C₄⋊C₄	—	4	4	no	—
925	C₄⋊C₄	—	4	8	no	—
926	C₄⋊C₄	—	4	4	no	—
927	C₄⋊C₄	—	4	4	no	—
928	C₄⋊C₄	—	4	4	no	—
929	C₄⋊C₄	—	4	4	no	—
930	C₄⋊C₄	—	4	4	no	—
931	C₄⋊C₄	—	4	4	no	—
932	C₄⋊C₄	—	4	4	no	—
933	C₄⋊C₄	—	4	4	no	—
934	C₄⋊C₄	—	4	4	no	—
935	C₄⋊C₄	—	4	8	no	—
936	C₄⋊C₄	—	4	4	no	—
937	C₄⋊C₄	—	4	4	no	—
938	C₄⋊C₄	—	4	4	no	—
939	C₄⋊C₄	—	4	4	no	—
940	C₄⋊C₄	—	4	4	no	—
941	C₄⋊C₄	—	4	4	no	—
942	C₄⋊C₄	—	4	4	no	—
943	C₂²⋊C₄	—	2	16	no	—
944	C₂²⋊C₄	—	2	16	no	—
945	C₂²⋊C₄	—	2	4	no	—
946	C₂²⋊C₄	—	2	16	no	—
947	C₂²⋊C₄	—	2	4	no	—
948	C₂²⋊C₄	—	2	4	no	—
949	C₂²⋊C₄	—	2	4	no	—
950	C₂²⋊C₄	—	2	4	no	—
951	C₂²⋊C₄	—	2	4	no	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	8	no	—
954	C₂²⋊C₄	—	2	8	no	—
955	C₂²⋊C₄	—	2	4	no	—
956	C₂²⋊C₄	—	2	4	no	—
957	C₂²⋊C₄	—	2	8	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	8	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	8	no	—
962	C₂²⋊C₄	—	4	8	no	—
963	C₂²⋊C₄	—	4	4	no	—
964	C₂²⋊C₄	—	4	4	no	—
965	C₂²⋊C₄	—	4	8	no	—
966	C₂²⋊C₄	—	4	8	no	—
967	C₂²⋊C₄	—	4	8	no	—
968	C₂²⋊C₄	—	4	4	no	—
969	C₂²⋊C₄	—	4	4	no	—
970	C₂²⋊C₄	—	4	8	no	—
971	C₂²⋊C₄	—	4	8	no	—
972	C₂²⋊C₄	—	4	8	no	—
973	C₂²⋊C₄	—	4	8	no	—
974	C₂²⋊C₄	—	4	8	no	—
975	C₂²⋊C₄	—	4	8	no	—
976	C₂²⋊C₄	—	4	4	no	—
977	C₂²⋊C₄	—	4	4	no	—
978	C₂²⋊C₄	—	4	4	no	—
979	C₂²⋊C₄	—	4	8	no	—
980	C₂²⋊C₄	—	4	8	no	—
981	C₂²⋊C₄	—	4	8	no	—
982	C₂²⋊C₄	—	4	4	no	—
983	C₂²⋊C₄	—	4	4	no	—
984	C₂²⋊C₄	—	4	4	no	—
985	C₂²⋊C₄	—	4	8	no	—
986	C₂²⋊C₄	—	4	8	no	—
987	C₂²⋊C₄	—	4	4	no	—
988	C₂²⋊C₄	—	4	4	no	—
989	C₂²⋊C₄	—	4	4	no	—
990	C₂²⋊C₄	—	4	4	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	4	no	—
994	C₄²	—	2	4	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	4	no	—
998	C₄²	—	2	4	no	—
999	C₄²	—	2	4	no	—
1000	C₄²	—	2	4	no	—
1001	C₄²	—	2	4	no	—
1002	C₄²	—	2	4	no	—
1003	C₄²	—	2	4	no	—
1004	C₄²	—	4	4	no	—
1005	C₄²	—	4	8	no	—
1006	C₄²	—	4	8	no	—
1007	C₄²	—	4	4	no	—
1008	C₄²	—	4	4	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	2	8	no	—
1012	C₂³	—	2	2	no	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	4	no	—
1016	C₂³	—	2	4	no	—
1017	C₂³	—	2	2	no	—
1018	C₂³	—	2	8	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	8	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	16	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	4	no	—
1025	C₂³	—	2	2	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	2	4	no	—
1028	C₂³	—	2	4	no	—
1029	C₂³	—	2	8	no	—
1030	C₂³	—	2	4	no	—
1031	C₂³	—	2	8	no	—
1032	C₂³	—	2	4	no	—
1033	C₂³	—	4	16	no	—
1034	C₂³	—	4	8	no	—
1035	C₂³	—	4	8	no	—
1036	C₂³	—	4	32	no	—
1037	C₂³	—	4	4	no	—
1038	C₂³	—	4	32	no	—
1039	C₂³	—	4	16	no	—
1040	C₂³	—	4	4	no	—
1041	C₂³	—	4	8	no	—
1042	C₂³	—	8	8	no	—
1043	C₂³	—	8	4	no	—
1044	C₂³	—	8	4	no	—
1045	C₂³	—	8	4	no	—
1046	C₂³	—	8	4	no	—
1047	C₂³	—	8	8	no	—
1048	C₂³	—	8	16	no	—
1049	C₂³	—	8	16	no	—
1050	C₂³	—	8	16	no	—
1051	C₂³	—	8	16	no	—
1052	C₂³	—	8	16	no	—
1053	C₂³	—	8	128	no	—
1054	C₂³	C₂²×#41	1	8	yes	—
1055	C₂³	C₂²×#41	1	2	yes	—
1056	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1057	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1058	C₂³	#585	1	4	yes	—
1059	C₂³	C₂⁶	1	1	yes	characteristic
1060	Q₈	—	4	8	no	—
1061	Q₈	—	4	8	no	—
1062	Q₈	—	4	4	no	—
1063	Q₈	—	16	4	no	—
1064	D₄	—	2	16	no	—
1065	D₄	—	2	16	no	—
1066	D₄	—	4	32	no	—
1067	D₄	—	4	8	no	—
1068	D₄	—	4	8	no	—
1069	D₄	—	4	8	no	—
1070	D₄	—	4	4	no	—
1071	D₄	—	8	16	no	—
1072	D₄	—	8	8	no	—
1073	D₄	—	16	4	no	—
1074	D₄	—	16	4	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	4	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	4	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	4	no	—
1084	C₂×C₄	—	2	4	no	—
1085	C₂×C₄	—	2	4	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	4	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	4	no	—
1096	C₂×C₄	—	2	4	no	—
1097	C₂×C₄	—	2	2	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	2	no	—
1103	C₂×C₄	—	2	4	no	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	2	4	no	—
1106	C₂×C₄	—	2	4	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	4	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	4	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	4	no	—
1114	C₂×C₄	—	2	8	no	—
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	4	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	4	no	—
1121	C₂×C₄	—	2	4	no	—
1122	C₂×C₄	—	4	4	no	—
1123	C₂×C₄	—	4	8	no	—
1124	C₂×C₄	—	4	8	no	—
1125	C₂×C₄	—	4	8	no	—
1126	C₂×C₄	—	4	8	no	—
1127	C₂×C₄	—	8	4	no	—
1128	C₂×C₄	—	8	4	no	—
1129	C₂×C₄	—	8	4	no	—
1130	C₂×C₄	—	8	8	no	—
1131	C₂×C₄	—	16	4	no	—
1132	C₂×C₄	—	16	4	no	—
1133	C₂×C₄	—	16	8	no	—
1134	C₂×C₄	#538	1	16	yes	—
1135	C₂×C₄	C₂²×#41	1	2	yes	—
1136	C₂×C₄	C₂²×#41	1	2	yes	—
1137	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1138	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1139	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1140	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1141	C₂²	—	2	4	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	2	16	no	—
1146	C₂²	—	2	4	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	4	no	—
1149	C₂²	—	2	8	no	—
1150	C₂²	—	4	16	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	4	no	—
1153	C₂²	—	4	4	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	8	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	—	4	4	no	—
1159	C₂²	—	4	8	no	—
1160	C₂²	—	4	2	no	—
1161	C₂²	—	4	4	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	4	4	no	—
1164	C₂²	—	4	4	no	—
1165	C₂²	—	4	8	no	—
1166	C₂²	—	4	2	no	—
1167	C₂²	—	4	4	no	—
1168	C₂²	—	8	16	no	—
1169	C₂²	—	8	16	no	—
1170	C₂²	—	8	64	no	—
1171	C₂²	C₂×#538	1	4	yes	—
1172	C₂²	C₂³×#41	1	1	yes	characteristic
1173	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1174	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1175	C₂²	C₂×#585	1	2	yes	—
1176	C₂²	H(7,𝔽₂)	1	2	yes	—
1177	C₄	—	4	2	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	4	no	—
1180	C₄	—	4	2	no	—
1181	C₄	—	4	2	no	—
1182	C₄	—	4	2	no	—
1183	C₄	—	4	4	no	—
1184	C₄	—	4	2	no	—
1185	C₄	—	4	2	no	—
1186	C₄	—	4	2	no	—
1187	C₄	—	4	2	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	4	no	—
1190	C₄	—	4	4	no	—
1191	C₄	—	4	4	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	2	no	—
1194	C₄	—	4	4	no	—
1195	C₄	C₂×#538	1	4	yes	—
1196	C₄	C₂×#538	1	4	yes	—
1197	C₂	—	2	4	no	—
1198	C₂	—	4	4	no	—
1199	C₂	—	4	8	no	—
1200	C₂	—	8	2	no	—
1201	C₂	—	8	4	no	—
1202	C₂	C₂²×#538	1	1	yes	characteristic
1203	C₂	#62824	1	1	yes	characteristic
1204	C₂	#62876	1	1	yes	characteristic
1205	C₂	#62924	1	2	yes	—
1206	C₂	#62990	1	2	yes	—

	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. #42642	C₂	semidirect
2. #42634	C₂	semidirect
3. #42563	C₂	semidirect
4. #42544	C₂	semidirect
5. #40556	C₂	semidirect
6. #40169	C₂	semidirect
7. #40049	C₂	semidirect
8. #39034	C₂	semidirect
9. #39020	C₂	semidirect
10. #37848	C₂	semidirect
11. #35679	C₂	semidirect
12. #35661	C₂	semidirect
13. #35644	C₂	semidirect
14. #35617	C₂	semidirect
15. #35558	C₂	semidirect
16. #35529	C₂	semidirect
17. #35327	C₂	semidirect
18. #35264	C₂	semidirect
20. #34814	C₂	semidirect
21. #34742	C₂	semidirect
22. C₂×#2435	C₂	semidirect
23. #34269	C₂	semidirect
24. #34211	C₂	semidirect
25. #34171	C₂	semidirect
27. C₂×#544	C₂²	semidirect
28. C₂×#536	C₂²	semidirect
35. C₂×#519	C₂²	semidirect
38. C₂×C₄×#41	C₂²	semidirect
39. #2861	C₂²	semidirect
40. #2858	C₂²	semidirect
41. #2850	C₂²	semidirect
42. #2850	C₂²	semidirect
44. #2827	C₂²	semidirect
45. #2826	C₂²	semidirect
46. #2781	C₂²	semidirect
47. #2779	C₂²	semidirect
48. #2778	C₂²	semidirect
49. #2753	C₂²	semidirect
50. #2749	C₂²	semidirect
51. #2741	C₂²	semidirect
52. #2736	C₂²	semidirect
53. #2735	C₂²	semidirect
54. #2735	C₂²	semidirect
55. #2735	C₂²	semidirect
56. #2730	C₂²	semidirect
57. #2702	C₂²	semidirect
58. #2697	C₂²	semidirect
59. #2685	C₂²	semidirect
60. #2685	C₂²	semidirect
61. #2684	C₂²	semidirect
62. #2653	C₂²	semidirect
63. #2649	C₂²	semidirect
64. #2648	C₂²	semidirect
65. #2641	C₂²	semidirect
66. #2640	C₂²	semidirect
67. #2636	C₂²	semidirect
68. #2626	C₂²	semidirect
69. #2622	C₂²	semidirect
70. #2620	C₂²	semidirect
71. #2620	C₂²	semidirect
73. #2566	C₂²	semidirect
74. #2566	C₂²	semidirect
75. #2563	C₂²	semidirect
77. #2547	C₂²	semidirect
78. #2547	C₂²	semidirect
79. #2545	C₂²	semidirect
80. #2544	C₂²	semidirect
81. #2544	C₂²	semidirect
82. #2544	C₂²	semidirect
83. #2542	C₂²	semidirect
84. #2538	C₂²	semidirect
85. #2536	C₂²	semidirect
86. #2534	C₂²	semidirect
87. #2518	C₂²	semidirect
88. #2513	C₂²	semidirect
89. #2513	C₂²	semidirect
90. #2512	C₂²	semidirect
91. #2512	C₂²	semidirect
92. #2503	C₂²	semidirect
93. #2497	C₂²	semidirect
94. #2496	C₂²	semidirect
95. #2495	C₂²	semidirect
96. #2494	C₂²	semidirect
97. #2493	C₂²	semidirect
98. #2492	C₂²	semidirect
99. #2492	C₂²	semidirect
100. #2491	C₂²	semidirect
101. #2490	C₂²	semidirect
102. #2489	C₂²	semidirect
103. #2489	C₂²	semidirect
104. #2482	C₂²	semidirect
106. #2480	C₂²	semidirect
107. #2480	C₂²	semidirect
108. #2480	C₂²	semidirect
109. #2472	C₂²	semidirect
110. #2472	C₂²	semidirect
111. #2459	C₂²	semidirect
112. #2454	C₂²	semidirect
113. #2452	C₂²	semidirect
114. #2448	C₂²	semidirect
115. #2448	C₂²	semidirect
116. #2448	C₂²	semidirect
117. #2448	C₂²	semidirect
118. #2437	C₂²	semidirect
125. #2429	C₂²	semidirect
126. #2427	C₂²	semidirect
127. #2427	C₂²	semidirect
128. #2426	C₂²	semidirect
129. #2423	C₂²	semidirect
130. #2422	C₂²	semidirect
131. #2421	C₂²	semidirect
132. #2420	C₂²	semidirect
133. #2419	C₂²	semidirect
135. #2418	C₂²	semidirect
136. #2413	C₂²	semidirect
137. #2412	C₂²	semidirect
141. #2401	C₂²	semidirect
142. #2395	C₂²	semidirect
144. #2367	C₂²	semidirect
145. #2367	C₂²	semidirect
146. #2367	C₂²	semidirect
147. #2366	C₂²	semidirect
148. #2358	C₂²	semidirect
149. #2342	C₂²	semidirect
154. #2326	C₂²	semidirect
155. #2324	C₂²	semidirect
156. #2321	C₂²	semidirect
157. #2317	C₂²	semidirect
158. #2312	C₂²	semidirect
159. #2311	C₂²	semidirect
160. #2310	C₂²	semidirect
161. #2310	C₂²	semidirect
167. C₄×#126	C₂²	semidirect
168. C₄×#124	C₂²	semidirect
169. C₄×#123	C₂²	semidirect
170. C₄×#121	C₂²	semidirect
171. #2297	C₂²	semidirect
172. #2296	C₂²	semidirect
173. #2296	C₂²	semidirect
174. #2296	C₂²	semidirect
177. #2285	C₂²	semidirect
178. #2285	C₂²	semidirect
184. #2274	C₂²	semidirect
185. C₄×#117	C₂²	semidirect
203. C₂×C₄⋊Q₈	C₂³	semidirect
204. C₂×C₄⋊Q₈	C₂³	semidirect
205. C₂×C₄⋊Q₈	C₂³	semidirect
209. C₂×#126	C₂³	semidirect
210. C₂×#125	C₂³	semidirect
211. C₂×#125	C₂³	semidirect
222. C₂×#124	C₂³	semidirect
223. C₂×#124	C₂³	semidirect
233. C₂×C₂²⋊Q₈	C₂³	semidirect
234. C₂×C₂²⋊Q₈	C₂³	semidirect
235. C₂×C₂²⋊Q₈	C₂³	semidirect
249. C₂×C₄×Q₈	C₂³	semidirect
250. C₂×C₄×Q₈	C₂³	semidirect
251. C₂×C₄×Q₈	C₂³	semidirect
260. C₂×C₄×D₄	C₂³	semidirect
261. C₂×C₄×D₄	C₂³	semidirect
270. C₂×#117	C₂³	semidirect
285. C₂²×C₄²	C₂³	semidirect
286. #401	C₂³	semidirect
287. #400	C₂³	semidirect
288. #400	C₂³	semidirect
289. #400	C₂³	semidirect
290. #400	C₂³	semidirect
291. #400	C₂³	semidirect
292. #400	C₂³	semidirect
294. #399	C₂³	semidirect
295. #399	C₂³	semidirect
296. #399	C₂³	semidirect
297. #398	C₂³	semidirect
298. #398	C₂³	semidirect
304. #397	C₂³	semidirect
305. #397	C₂³	semidirect
306. #397	C₂³	semidirect
307. #397	C₂³	semidirect
308. #397	C₂³	semidirect
309. #397	C₂³	semidirect
310. #397	C₂³	semidirect
311. #397	C₂³	semidirect
312. #397	C₂³	semidirect
313. #397	C₂³	semidirect
316. #396	C₂³	semidirect
317. #396	C₂³	semidirect
318. #396	C₂³	semidirect
319. #396	C₂³	semidirect
320. #396	C₂³	semidirect
321. #396	C₂³	semidirect
331. #394	C₂³	semidirect
332. #394	C₂³	semidirect
333. #394	C₂³	semidirect
334. #394	C₂³	semidirect
335. #394	C₂³	semidirect
336. #394	C₂³	semidirect
338. #393	C₂³	semidirect
339. #393	C₂³	semidirect
342. #391	C₂³	semidirect
343. #391	C₂³	semidirect
344. #391	C₂³	semidirect
345. #391	C₂³	semidirect
346. #391	C₂³	semidirect
347. #391	C₂³	semidirect
348. #391	C₂³	semidirect
349. #391	C₂³	semidirect
350. #391	C₂³	semidirect
351. #391	C₂³	semidirect
370. #390	C₂³	semidirect
371. #390	C₂³	semidirect
372. #390	C₂³	semidirect
373. #390	C₂³	semidirect
374. #390	C₂³	semidirect
375. #389	C₂³	semidirect
376. #389	C₂³	semidirect
377. #389	C₂³	semidirect
378. #389	C₂³	semidirect
379. #389	C₂³	semidirect
380. #389	C₂³	semidirect
381. #389	C₂³	semidirect
382. #389	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. #388	C₂³	semidirect
401. #388	C₂³	semidirect
402. #388	C₂³	semidirect
403. #388	C₂³	semidirect
404. #388	C₂³	semidirect
405. #388	C₂³	semidirect
406. #388	C₂³	semidirect
407. #388	C₂³	semidirect
408. #388	C₂³	semidirect
409. #387	C₂³	semidirect
410. #387	C₂³	semidirect
411. #387	C₂³	semidirect
412. #387	C₂³	semidirect
413. #387	C₂³	semidirect
421. #386	C₂³	semidirect
422. #386	C₂³	semidirect
423. #386	C₂³	semidirect
424. #386	C₂³	semidirect
425. #386	C₂³	semidirect
426. #386	C₂³	semidirect
431. #385	C₂³	semidirect
432. #385	C₂³	semidirect
433. #385	C₂³	semidirect
434. #385	C₂³	semidirect
435. #385	C₂³	semidirect
436. #385	C₂³	semidirect
437. #384	C₂³	semidirect
438. #384	C₂³	semidirect
439. #384	C₂³	semidirect
440. #384	C₂³	semidirect
441. #383	C₂³	semidirect
442. #382	C₂³	semidirect
443. #382	C₂³	semidirect
444. #382	C₂³	semidirect
445. #382	C₂³	semidirect
446. #382	C₂³	semidirect
452. #381	C₂³	semidirect
461. #380	C₂³	semidirect
462. #380	C₂³	semidirect
463. #380	C₂³	semidirect
464. #380	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
488. C₄×C₄⋊C₄	C₂³	semidirect
489. C₄×C₄⋊C₄	C₂³	semidirect
490. C₄×C₄⋊C₄	C₂³	semidirect
500. C₄×C₂²⋊C₄	C₂³	semidirect
501. C₄×C₂²⋊C₄	C₂³	semidirect
502. C₄×C₂²⋊C₄	C₂³	semidirect
503. C₄×C₂²⋊C₄	C₂³	semidirect
504. #376	C₂³	semidirect
506. C₄³	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#42642	2
#42634	2
#42563	2
#42544	2
#40556	2
#40169	2
#40049	2
#39034	2
#39020	2
#37848	2
#35679	2
#35661	2
#35644	2
#35617	2
#35558	2
#35529	2
#35327	2
#35264	2
#35222	2
#34814	2
#34742	2
C₂×#2435	2
#34269	2
#34211	2
#34171	2