Subgroups — #7682666

Order 512.

6673 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59945	C₂	1	2	yes	maximal, complemented
2	#59843	C₂	1	2	yes	maximal, complemented
3	#59562	C₂	1	4	yes	maximal, complemented
4	#59382	C₂	1	4	yes	maximal, complemented
5	#59378	C₂	1	2	yes	maximal, complemented
6	#59375	C₂	1	2	yes	maximal, complemented
7	#59192	C₂	1	4	yes	maximal, complemented
8	#59006	C₂	1	4	yes	maximal, complemented
9	#45380	C₂	1	2	yes	maximal, complemented
10	#45377	C₂	1	2	yes	maximal, complemented
11	#45214	C₂	1	2	yes	maximal, complemented
12	#45088	C₂	1	2	yes	maximal, complemented
13	#45061	C₂	1	4	yes	maximal, complemented
14	#45006	C₂	1	4	yes	maximal, complemented
15	#43047	C₂	1	4	yes	maximal, complemented
16	#43046	C₂	1	4	yes	maximal, complemented
17	#35544	C₂	1	2	yes	maximal, complemented
18	#35540	C₂	1	2	yes	maximal, complemented
19	#35515	C₂	1	2	yes	maximal, complemented
20	#34946	C₂	1	1	yes	maximal, characteristic, complemented
21	#34809	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2408	C₂	1	1	yes	maximal, characteristic
23	#34255	C₂	1	2	yes	maximal, complemented
24	#34204	C₂	1	2	yes	maximal, complemented
25	#34171	C₂	1	2	yes	maximal, complemented
26	C₂⁴×D₄	C₂²	1	1	yes	characteristic
27	C₂×#551	C₂²	1	4	yes	complemented
28	C₂×#533	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#121	C₂²	1	2	yes	—
30	C₂²×#120	C₂²	1	2	yes	—
31	C₂×#518	C₂²	1	2	yes	—
32	C₂×#518	C₂²	1	2	yes	—
33	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
34	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
35	#2782	C₂²	1	4	yes	complemented
36	#2778	C₂²	1	8	yes	complemented
37	#2760	C₂²	1	4	yes	complemented
38	#2750	C₂²	1	8	yes	complemented
39	#2749	C₂²	1	8	yes	complemented
40	#2746	C₂²	1	8	yes	complemented
41	#2743	C₂²	1	8	yes	complemented
42	#2736	C₂²	1	4	yes	complemented
43	#2735	C₂²	1	8	yes	complemented
44	#2735	C₂²	1	4	yes	complemented
45	#2728	C₂²	1	4	yes	complemented
46	#2697	C₂²	1	4	yes	complemented
47	#2696	C₂²	1	8	yes	complemented
48	#2693	C₂²	1	4	yes	complemented
49	#2685	C₂²	1	8	yes	complemented
50	#2684	C₂²	1	4	yes	complemented
51	#2609	C₂²	1	4	yes	complemented
52	#2600	C₂²	1	4	yes	complemented
53	#2598	C₂²	1	8	yes	complemented
54	#2580	C₂²	1	4	yes	complemented
55	#2580	C₂²	1	4	yes	complemented
56	#2578	C₂²	1	8	yes	complemented
57	#2576	C₂²	1	8	yes	complemented
58	#2572	C₂²	1	4	yes	complemented
59	#2563	C₂²	1	1	yes	characteristic, complemented
60	#2563	C₂²	1	1	yes	characteristic, complemented
61	#2562	C₂²	1	2	yes	complemented
62	#2562	C₂²	1	2	yes	complemented
63	#2561	C₂²	1	2	yes	—
64	#2561	C₂²	1	2	yes	complemented
65	#2561	C₂²	1	8	yes	complemented
66	#2547	C₂²	1	1	yes	characteristic, complemented
67	#2547	C₂²	1	1	yes	characteristic, complemented
68	#2538	C₂²	1	4	yes	complemented
69	#2538	C₂²	1	4	yes	complemented
70	#2534	C₂²	1	8	yes	complemented
71	#2503	C₂²	1	2	yes	complemented
72	#2497	C₂²	1	4	yes	complemented
73	#2497	C₂²	1	4	yes	complemented
74	#2496	C₂²	1	4	yes	complemented
75	#2496	C₂²	1	4	yes	complemented
76	#2495	C₂²	1	4	yes	complemented
77	#2495	C₂²	1	4	yes	complemented
78	#2494	C₂²	1	4	yes	complemented
79	#2494	C₂²	1	4	yes	complemented
80	#2493	C₂²	1	8	yes	complemented
81	#2487	C₂²	1	1	yes	characteristic, complemented
82	#2487	C₂²	1	1	yes	characteristic, complemented
83	#2486	C₂²	1	1	yes	characteristic, complemented
84	#2486	C₂²	1	1	yes	characteristic, complemented
85	#2485	C₂²	1	2	yes	complemented
86	#2485	C₂²	1	2	yes	complemented
87	#2484	C₂²	1	2	yes	complemented
88	#2483	C₂²	1	8	yes	complemented
89	#2483	C₂²	1	2	yes	complemented
90	#2483	C₂²	1	4	yes	complemented
91	#2482	C₂²	1	2	yes	—
92	#2482	C₂²	1	8	yes	complemented
93	#2480	C₂²	1	8	yes	—
94	#2480	C₂²	1	8	yes	complemented
95	#2480	C₂²	1	8	yes	complemented
96	#2477	C₂²	1	8	yes	complemented
97	#2472	C₂²	1	8	yes	complemented
98	#2471	C₂²	1	8	yes	complemented
99	#2463	C₂²	1	4	yes	complemented
100	#2457	C₂²	1	8	yes	complemented
101	#2454	C₂²	1	4	yes	complemented
102	#2454	C₂²	1	4	yes	complemented
103	#2452	C₂²	1	4	yes	complemented
104	#2452	C₂²	1	4	yes	complemented
105	#2437	C₂²	1	8	yes	complemented
106	#2437	C₂²	1	8	yes	complemented
107	#2437	C₂²	1	4	yes	complemented
108	#2435	C₂²	1	2	yes	—
109	#2422	C₂²	1	4	yes	complemented
110	#2422	C₂²	1	4	yes	complemented
111	#2422	C₂²	1	4	yes	complemented
112	#2422	C₂²	1	4	yes	complemented
113	#2420	C₂²	1	4	yes	complemented
114	#2420	C₂²	1	4	yes	complemented
115	#2420	C₂²	1	4	yes	complemented
116	#2420	C₂²	1	4	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	2	yes	—
121	#2408	C₂²	1	2	yes	—
122	#2408	C₂²	1	2	yes	—
123	#2408	C₂²	1	2	yes	—
124	#2408	C₂²	1	2	yes	—
125	#2408	C₂²	1	2	yes	—
126	#2408	C₂²	1	2	yes	—
127	#2408	C₂²	1	2	yes	—
128	#2405	C₂²	1	2	yes	—
129	#2405	C₂²	1	8	yes	complemented
130	#2398	C₂²	1	2	yes	complemented
131	#2398	C₂²	1	2	yes	complemented
132	#2395	C₂²	1	2	yes	complemented
133	#2395	C₂²	1	2	yes	complemented
134	C₂×#394	C₂²	1	2	yes	—
135	C₂×#392	C₂²	1	2	yes	—
136	#2363	C₂²	1	4	yes	complemented
137	#2363	C₂²	1	4	yes	complemented
138	#2361	C₂²	1	4	yes	complemented
139	#2361	C₂²	1	4	yes	complemented
140	#2358	C₂²	1	4	yes	complemented
141	#2357	C₂²	1	4	yes	complemented
142	#2357	C₂²	1	4	yes	complemented
143	#2354	C₂²	1	4	yes	complemented
144	#2354	C₂²	1	4	yes	complemented
145	#2342	C₂²	1	8	yes	complemented
146	#2342	C₂²	1	8	yes	complemented
147	#2342	C₂²	1	8	yes	complemented
148	#2342	C₂²	1	8	yes	complemented
149	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
150	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
151	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
152	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
153	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
154	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
155	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
156	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
157	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
158	#2324	C₂²	1	4	yes	complemented
159	#2324	C₂²	1	4	yes	complemented
160	#2319	C₂²	1	4	yes	complemented
161	#2319	C₂²	1	4	yes	complemented
162	#2317	C₂²	1	2	yes	complemented
163	#2317	C₂²	1	2	yes	complemented
164	#2316	C₂²	1	2	yes	complemented
165	#2309	C₂²	1	2	yes	—
166	#2309	C₂²	1	2	yes	—
167	#2308	C₂²	1	8	yes	—
168	C₄×#124	C₂²	1	2	yes	complemented
169	C₄×#124	C₂²	1	2	yes	complemented
170	C₄×#123	C₂²	1	2	yes	complemented
171	C₄×#123	C₂²	1	2	yes	complemented
172	C₄×#121	C₂²	1	4	yes	complemented
173	C₄×#121	C₂²	1	4	yes	complemented
174	#2296	C₂²	1	2	yes	complemented
175	#2293	C₂²	1	4	yes	complemented
176	#2293	C₂²	1	4	yes	complemented
177	C₂×#390	C₂²	1	2	yes	—
178	#2280	C₂²	1	2	yes	—
179	#2280	C₂²	1	2	yes	—
180	#2280	C₂²	1	2	yes	complemented
181	#2280	C₂²	1	1	yes	characteristic, complemented
182	C₂×#380	C₂²	1	1	yes	characteristic
183	C₂×#379	C₂²	1	2	yes	—
184	C₂×#379	C₂²	1	8	yes	—
185	#2274	C₂²	1	2	yes	complemented
186	C₄×#117	C₂²	1	1	yes	characteristic, complemented
187	C₂⁶	C₂³	1	2	yes	—
188	C₂³×D₄	—	2	16	no	—
189	C₂³×D₄	—	4	4	no	—
190	C₂³×D₄	C₂³	1	2	yes	—
191	C₂³×D₄	C₂³	1	2	yes	—
192	C₂³×D₄	C₂³	1	2	yes	—
193	C₂³×D₄	C₂³	1	2	yes	—
194	C₂³×D₄	C₂³	1	2	yes	—
195	C₂³×D₄	C₂³	1	2	yes	—
196	C₂³×D₄	C₂³	1	1	yes	characteristic
197	C₂³×D₄	C₂³	1	4	yes	—
198	C₂⁴×C₄	C₂³	1	1	yes	characteristic
199	C₂⁴×C₄	C₂³	1	1	yes	characteristic
200	#551	—	4	16	no	—
201	#533	—	4	4	no	—
202	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
203	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
204	C₂×#126	C₂³	1	8	yes	—
205	C₂×#125	C₂³	1	2	yes	complemented
206	C₂×#124	C₂³	1	2	yes	—
207	C₂×#124	C₂³	1	2	yes	—
208	C₂×#123	C₂³	1	2	yes	—
209	C₂×#123	C₂³	1	2	yes	—
210	C₂×#123	C₂³	1	8	yes	complemented
211	C₂×#123	C₂³	1	8	yes	complemented
212	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
215	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
216	C₂×#121	—	2	16	no	—
217	C₂×#121	C₂³	1	4	yes	—
218	C₂×#121	C₂³	1	4	yes	—
219	C₂×#121	C₂³	1	4	yes	—
220	C₂×#121	C₂³	1	4	yes	—
221	C₂×#120	—	4	8	no	—
222	C₂×#120	C₂³	1	4	yes	—
223	C₂×#120	C₂³	1	4	yes	—
224	C₂×#120	C₂³	1	4	yes	—
225	C₂×#120	C₂³	1	4	yes	—
226	#518	—	2	16	no	—
227	#518	—	4	8	no	—
228	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
229	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
230	C₂×C₄×D₄	—	4	4	no	—
231	C₂×C₄×D₄	C₂³	1	4	yes	—
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	1	yes	characteristic
236	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₄	C₂³	1	4	yes	—
240	C₂×C₄×D₄	C₂³	1	4	yes	—
241	C₂×C₄×D₄	C₂³	1	4	yes	—
242	C₂×C₄×D₄	C₂³	1	4	yes	—
243	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₄	C₂³	1	8	yes	complemented
248	C₂×C₄×D₄	C₂³	1	8	yes	complemented
249	C₂×#117	—	4	4	no	—
250	C₂×#117	C₂³	1	2	yes	—
251	C₂×#117	C₂³	1	2	yes	—
252	C₂×#117	C₂³	1	2	yes	—
253	C₂×#117	C₂³	1	2	yes	—
254	C₂×#117	C₂³	1	2	yes	—
255	C₂×#117	C₂³	1	2	yes	complemented
256	C₂×#117	C₂³	1	8	yes	complemented
257	C₂×#117	C₂³	1	2	yes	complemented
258	C₂×#117	C₂³	1	8	yes	complemented
259	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
260	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
262	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
263	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
264	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
265	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
268	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
269	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
270	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
271	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
272	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
273	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
274	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
275	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
276	C₂²×C₄²	C₂³	1	1	yes	characteristic
277	C₂²×C₄²	C₂³	1	2	yes	complemented
278	#401	C₂³	1	8	yes	complemented
279	#400	C₂³	1	4	yes	complemented
280	#400	C₂³	1	4	yes	complemented
281	#400	C₂³	1	2	yes	complemented
282	#400	C₂³	1	8	yes	complemented
283	#400	C₂³	1	2	yes	complemented
284	#400	C₂³	1	8	yes	complemented
285	#400	C₂³	1	8	yes	complemented
286	#399	C₂³	1	2	yes	—
287	#399	C₂³	1	2	yes	—
288	#399	C₂³	1	8	yes	complemented
289	#399	C₂³	1	8	yes	complemented
290	#398	C₂³	1	2	yes	complemented
291	#398	C₂³	1	2	yes	complemented
292	#397	C₂³	1	2	yes	—
293	#397	C₂³	1	2	yes	—
294	#397	C₂³	1	8	yes	—
295	#397	C₂³	1	2	yes	—
296	#397	C₂³	1	2	yes	—
297	#397	C₂³	1	8	yes	—
298	#397	C₂³	1	8	yes	—
299	#397	C₂³	1	8	yes	complemented
300	#397	C₂³	1	2	yes	complemented
301	#397	C₂³	1	2	yes	complemented
302	#397	C₂³	1	8	yes	complemented
303	#397	C₂³	1	4	yes	complemented
304	#397	C₂³	1	4	yes	complemented
305	#397	C₂³	1	8	yes	complemented
306	#397	C₂³	1	8	yes	complemented
307	#396	C₂³	1	8	yes	—
308	#396	C₂³	1	8	yes	complemented
309	#396	C₂³	1	8	yes	complemented
310	#396	C₂³	1	8	yes	complemented
311	#396	C₂³	1	8	yes	complemented
312	#394	C₂³	1	4	yes	—
313	#394	C₂³	1	4	yes	—
314	#394	C₂³	1	4	yes	—
315	#394	C₂³	1	4	yes	—
316	#394	C₂³	1	4	yes	—
317	#394	C₂³	1	4	yes	—
318	#394	C₂³	1	4	yes	—
319	#394	C₂³	1	4	yes	—
320	#394	C₂³	1	8	yes	complemented
321	#394	C₂³	1	8	yes	complemented
322	#394	C₂³	1	8	yes	complemented
323	#394	C₂³	1	8	yes	complemented
324	#393	C₂³	1	2	yes	—
325	#393	C₂³	1	2	yes	—
326	#393	C₂³	1	2	yes	complemented
327	#393	C₂³	1	2	yes	complemented
328	#393	C₂³	1	8	yes	complemented
329	#393	C₂³	1	8	yes	complemented
330	#392	C₂³	1	4	yes	—
331	#392	C₂³	1	4	yes	—
332	#392	C₂³	1	4	yes	—
333	#392	C₂³	1	4	yes	—
334	#391	C₂³	1	2	yes	complemented
335	#391	C₂³	1	2	yes	complemented
336	#390	C₂³	1	2	yes	—
337	#390	C₂³	1	2	yes	—
338	#390	C₂³	1	4	yes	—
339	#390	C₂³	1	4	yes	—
340	#390	C₂³	1	4	yes	—
341	#390	C₂³	1	4	yes	—
342	#390	C₂³	1	4	yes	—
343	#390	C₂³	1	4	yes	—
344	#390	C₂³	1	4	yes	—
345	#390	C₂³	1	4	yes	—
346	#390	C₂³	1	4	yes	—
347	#390	C₂³	1	4	yes	—
348	#390	C₂³	1	4	yes	—
349	#390	C₂³	1	4	yes	—
350	#390	C₂³	1	8	yes	complemented
351	#390	C₂³	1	8	yes	complemented
352	#389	C₂³	1	4	yes	complemented
353	#389	C₂³	1	4	yes	complemented
354	#389	C₂³	1	4	yes	complemented
355	#389	C₂³	1	4	yes	complemented
356	#389	C₂³	1	4	yes	complemented
357	#389	C₂³	1	4	yes	complemented
358	#389	C₂³	1	4	yes	complemented
359	#389	C₂³	1	4	yes	complemented
360	#389	C₂³	1	2	yes	complemented
361	#389	C₂³	1	2	yes	complemented
362	#389	C₂³	1	2	yes	complemented
363	#389	C₂³	1	2	yes	complemented
364	#388	C₂³	1	4	yes	—
365	#388	C₂³	1	4	yes	—
366	#388	C₂³	1	4	yes	—
367	#388	C₂³	1	8	yes	—
368	#388	C₂³	1	4	yes	—
369	#388	C₂³	1	8	yes	—
370	#388	C₂³	1	8	yes	—
371	#388	C₂³	1	4	yes	complemented
372	#388	C₂³	1	4	yes	complemented
373	#388	C₂³	1	8	yes	complemented
374	#388	C₂³	1	8	yes	complemented
375	#388	C₂³	1	8	yes	complemented
376	#388	C₂³	1	8	yes	complemented
377	#388	C₂³	1	8	yes	complemented
378	#388	C₂³	1	8	yes	complemented
379	#388	C₂³	1	8	yes	complemented
380	#388	C₂³	1	8	yes	complemented
381	#388	C₂³	1	8	yes	complemented
382	#388	C₂³	1	8	yes	complemented
383	#388	C₂³	1	8	yes	complemented
384	#388	C₂³	1	8	yes	complemented
385	#387	C₂³	1	4	yes	complemented
386	#387	C₂³	1	8	yes	complemented
387	#387	C₂³	1	4	yes	complemented
388	#387	C₂³	1	8	yes	complemented
389	#387	C₂³	1	8	yes	complemented
390	#386	C₂³	1	8	yes	—
391	#386	C₂³	1	8	yes	—
392	#386	C₂³	1	8	yes	—
393	#386	C₂³	1	8	yes	—
394	#386	C₂³	1	8	yes	—
395	#386	C₂³	1	8	yes	—
396	#386	C₂³	1	8	yes	—
397	#386	C₂³	1	8	yes	—
398	#386	C₂³	1	2	yes	—
399	#386	C₂³	1	2	yes	—
400	#386	C₂³	1	8	yes	complemented
401	#386	C₂³	1	8	yes	complemented
402	#386	C₂³	1	8	yes	complemented
403	#386	C₂³	1	8	yes	complemented
404	#386	C₂³	1	8	yes	complemented
405	#386	C₂³	1	8	yes	complemented
406	#385	C₂³	1	8	yes	—
407	#385	C₂³	1	8	yes	—
408	#385	C₂³	1	4	yes	—
409	#385	C₂³	1	4	yes	—
410	#385	C₂³	1	8	yes	complemented
411	#385	C₂³	1	8	yes	complemented
412	#385	C₂³	1	8	yes	complemented
413	#385	C₂³	1	8	yes	complemented
414	#385	C₂³	1	8	yes	complemented
415	#385	C₂³	1	8	yes	complemented
416	#385	C₂³	1	8	yes	complemented
417	#385	C₂³	1	2	yes	complemented
418	#385	C₂³	1	8	yes	complemented
419	#385	C₂³	1	2	yes	complemented
420	#384	C₂³	1	4	yes	complemented
421	#384	C₂³	1	4	yes	complemented
422	#383	C₂³	1	8	yes	complemented
423	#382	C₂³	1	2	yes	complemented
424	#382	C₂³	1	2	yes	complemented
425	#382	C₂³	1	4	yes	complemented
426	#382	C₂³	1	4	yes	complemented
427	#381	C₂³	1	4	yes	—
428	#381	C₂³	1	4	yes	—
429	#381	C₂³	1	4	yes	—
430	#381	C₂³	1	2	yes	—
431	#381	C₂³	1	8	yes	complemented
432	#381	C₂³	1	8	yes	complemented
433	#381	C₂³	1	8	yes	complemented
434	#381	C₂³	1	8	yes	complemented
435	#381	C₂³	1	2	yes	complemented
436	#381	C₂³	1	2	yes	complemented
437	#380	C₂³	1	2	yes	—
438	#380	C₂³	1	2	yes	—
439	#380	C₂³	1	2	yes	—
440	#380	C₂³	1	2	yes	—
441	#380	C₂³	1	8	yes	—
442	#380	C₂³	1	2	yes	—
443	#380	C₂³	1	2	yes	—
444	#380	C₂³	1	2	yes	—
445	#380	C₂³	1	2	yes	—
446	#380	C₂³	1	2	yes	—
447	#380	C₂³	1	2	yes	—
448	#380	C₂³	1	2	yes	—
449	#380	C₂³	1	2	yes	—
450	#380	C₂³	1	2	yes	complemented
451	#380	C₂³	1	2	yes	complemented
452	#380	C₂³	1	2	yes	complemented
453	#380	C₂³	1	2	yes	complemented
454	#380	C₂³	1	8	yes	complemented
455	#380	C₂³	1	8	yes	complemented
456	#380	C₂³	1	8	yes	complemented
457	#380	C₂³	1	8	yes	complemented
458	#380	C₂³	1	1	yes	characteristic, complemented
459	#380	C₂³	1	2	yes	complemented
460	#380	C₂³	1	1	yes	characteristic, complemented
461	#379	C₂³	1	4	yes	—
462	#379	C₂³	1	4	yes	—
463	#379	C₂³	1	4	yes	—
464	#379	C₂³	1	8	yes	—
465	#379	C₂³	1	8	yes	—
466	#379	C₂³	1	8	yes	—
467	#379	C₂³	1	8	yes	—
468	#379	C₂³	1	8	yes	—
469	#379	C₂³	1	8	yes	—
470	#379	C₂³	1	4	yes	—
471	#379	C₂³	1	2	yes	—
472	#379	C₂³	1	4	yes	—
473	#379	C₂³	1	4	yes	—
474	#379	C₂³	1	4	yes	—
475	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
476	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
477	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
478	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
479	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
480	C₄×C₄⋊C₄	C₂³	1	4	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	4	yes	complemented
484	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
485	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
486	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
487	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
488	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
489	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
490	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
491	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
492	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
493	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
494	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
495	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
496	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
497	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
498	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
499	#376	C₂³	1	2	yes	complemented
500	C₂×#95	C₂³	1	2	yes	—
501	C₄³	C₂³	1	2	yes	complemented
502	C₂⁵	—	2	16	no	—
503	C₂⁵	—	4	4	no	—
504	C₂⁵	—	4	4	no	—
505	C₂⁵	—	4	4	no	—
506	C₂⁵	—	8	4	no	—
507	C₂⁵	C₂⁴	1	1	yes	characteristic
508	C₂⁵	C₂⁴	1	1	yes	characteristic
509	C₂⁵	C₂⁴	1	4	yes	—
510	C₂⁵	C₂⁴	1	4	yes	—
511	C₂⁵	C₂⁴	1	4	yes	—
512	C₂²×Q₈	C₂⁴	1	2	yes	—
513	C₂²×Q₈	C₂⁴	1	2	yes	—
514	C₂²×D₄	—	2	16	no	—
515	C₂²×D₄	—	2	16	no	—
516	C₂²×D₄	—	2	16	no	—
517	C₂²×D₄	—	2	16	no	—
518	C₂²×D₄	—	2	16	no	—
519	C₂²×D₄	—	2	16	no	—
520	C₂²×D₄	—	2	4	no	—
521	C₂²×D₄	—	2	8	no	—
522	C₂²×D₄	—	2	8	no	—
523	C₂²×D₄	—	4	4	no	—
524	C₂²×D₄	—	4	4	no	—
525	C₂²×D₄	—	4	4	no	—
526	C₂²×D₄	—	4	4	no	—
527	C₂²×D₄	—	4	2	no	—
528	C₂²×D₄	—	4	4	no	—
529	C₂²×D₄	—	4	2	no	—
530	C₂²×D₄	—	4	64	no	—
531	C₂²×D₄	—	4	8	no	—
532	C₂²×D₄	—	8	4	no	—
533	C₂²×D₄	#41	1	16	yes	—
534	C₂²×D₄	C₂⁴	1	1	yes	characteristic
535	C₂²×D₄	C₂⁴	1	1	yes	characteristic
536	C₂²×D₄	C₂⁴	1	8	yes	—
537	C₂²×D₄	C₂⁴	1	4	yes	—
538	C₂²×D₄	C₂⁴	1	4	yes	—
539	C₂²×D₄	C₂⁴	1	4	yes	—
540	C₂²×D₄	C₂⁴	1	4	yes	—
541	C₂²×D₄	C₂⁴	1	1	yes	characteristic
542	C₂²×D₄	C₂⁴	1	8	yes	—
543	C₂²×D₄	C₂⁴	1	1	yes	characteristic
544	C₂³×C₄	—	2	8	no	—
545	C₂³×C₄	—	2	8	no	—
546	C₂³×C₄	—	2	4	no	—
547	C₂³×C₄	—	2	4	no	—
548	C₂³×C₄	C₂⁴	1	1	yes	characteristic
549	C₂³×C₄	C₂⁴	1	1	yes	characteristic
550	C₂³×C₄	C₂⁴	1	1	yes	characteristic
551	C₂³×C₄	C₂⁴	1	1	yes	characteristic
552	C₂³×C₄	C₂⁴	1	1	yes	characteristic
553	C₂³×C₄	C₂⁴	1	1	yes	characteristic
554	C₂³×C₄	C₂⁴	1	1	yes	characteristic
555	C₂³×C₄	C₂⁴	1	1	yes	characteristic
556	C₂³×C₄	C₂⁴	1	1	yes	characteristic
557	C₂³×C₄	C₂⁴	1	1	yes	characteristic
558	C₂³×C₄	C₂⁴	1	1	yes	characteristic
559	C₂³×C₄	C₂⁴	1	1	yes	characteristic
560	C₂³×C₄	C₂⁴	1	4	yes	—
561	C₂³×C₄	C₂⁴	1	8	yes	—
562	C₂³×C₄	C₂⁴	1	8	yes	—
563	C₂³×C₄	C₂⁴	1	2	yes	—
564	C₂³×C₄	C₂⁴	1	8	yes	—
565	C₂³×C₄	C₂⁴	1	8	yes	—
566	C₂³×C₄	C₂⁴	1	2	yes	—
567	C₂³×C₄	C₂⁴	1	1	yes	characteristic
568	C₄⋊Q₈	—	4	2	no	—
569	C₄⋊Q₈	—	4	2	no	—
570	#126	—	4	16	no	—
571	#125	—	4	4	no	—
572	#124	—	2	8	no	—
573	#124	—	4	4	no	—
574	#123	—	2	8	no	—
575	#123	—	4	4	no	—
576	#123	—	4	16	no	—
577	#123	—	8	8	no	—
578	C₂²⋊Q₈	—	4	4	no	—
579	C₂²⋊Q₈	—	4	4	no	—
580	C₂²⋊Q₈	—	4	16	no	—
581	C₂²⋊Q₈	—	8	8	no	—
582	#121	—	2	16	no	—
583	#121	—	2	16	no	—
584	#121	—	2	16	no	—
585	#121	—	2	16	no	—
586	#120	—	2	16	no	—
587	#120	—	4	8	no	—
588	#120	—	4	8	no	—
589	#120	—	4	8	no	—
590	C₄×Q₈	—	4	4	no	—
591	C₄×Q₈	—	4	4	no	—
592	C₄×D₄	—	2	16	no	—
593	C₄×D₄	—	2	16	no	—
594	C₄×D₄	—	2	16	no	—
595	C₄×D₄	—	2	16	no	—
596	C₄×D₄	—	4	8	no	—
597	C₄×D₄	—	4	8	no	—
598	C₄×D₄	—	4	8	no	—
599	C₄×D₄	—	4	8	no	—
600	C₄×D₄	—	4	2	no	—
601	C₄×D₄	—	4	2	no	—
602	C₄×D₄	—	4	2	no	—
603	C₄×D₄	—	4	2	no	—
604	C₄×D₄	—	4	2	no	—
605	C₄×D₄	—	4	2	no	—
606	C₄×D₄	—	4	2	no	—
607	C₄×D₄	—	4	2	no	—
608	C₄×D₄	—	4	16	no	—
609	C₄×D₄	—	8	8	no	—
610	#117	—	2	8	no	—
611	#117	—	2	8	no	—
612	#117	—	2	8	no	—
613	#117	—	2	8	no	—
614	#117	—	4	4	no	—
615	#117	—	4	16	no	—
616	#117	—	4	4	no	—
617	#117	—	4	4	no	—
618	#117	—	8	8	no	—
619	C₂×C₄⋊C₄	—	2	8	no	—
620	C₂×C₄⋊C₄	—	4	2	no	—
621	C₂×C₄⋊C₄	—	4	2	no	—
622	C₂×C₄⋊C₄	—	4	2	no	—
623	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
626	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
627	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
628	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
629	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
630	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
631	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
632	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
634	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
639	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
640	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
642	C₂×C₄⋊C₄	C₂⁴	1	8	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	2	yes	—
648	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
649	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
650	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
651	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
652	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
653	C₂×C₂²⋊C₄	—	2	32	no	—
654	C₂×C₂²⋊C₄	—	2	16	no	—
655	C₂×C₂²⋊C₄	—	4	8	no	—
656	C₂×C₂²⋊C₄	—	4	16	no	—
657	C₂×C₂²⋊C₄	—	4	4	no	—
658	C₂×C₂²⋊C₄	—	4	16	no	—
659	C₂×C₂²⋊C₄	—	4	4	no	—
660	C₂×C₂²⋊C₄	—	4	16	no	—
661	C₂×C₂²⋊C₄	—	4	2	no	—
662	C₂×C₂²⋊C₄	—	4	2	no	—
663	C₂×C₂²⋊C₄	—	8	8	no	—
664	C₂×C₂²⋊C₄	—	8	8	no	—
665	C₂×C₂²⋊C₄	—	8	4	no	—
666	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
667	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
668	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
669	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
671	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
672	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
673	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
674	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
675	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
676	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
677	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
679	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
680	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
681	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
683	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
686	C₂×C₂²⋊C₄	C₂⁴	1	4	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	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
695	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
696	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
701	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₂×C₂²⋊C₄	C₂⁴	1	8	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	8	yes	—
707	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
708	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
709	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
710	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
714	C₂×C₄²	—	2	4	no	—
715	C₂×C₄²	—	4	4	no	—
716	C₂×C₄²	C₂⁴	1	4	yes	—
717	C₂×C₄²	C₂⁴	1	4	yes	—
718	C₂×C₄²	C₂⁴	1	4	yes	—
719	C₂×C₄²	C₂⁴	1	4	yes	—
720	C₂×C₄²	C₂⁴	1	2	yes	—
721	C₂×C₄²	C₂⁴	1	1	yes	characteristic
722	C₂×C₄²	C₂⁴	1	1	yes	characteristic
723	C₂×C₄²	C₂⁴	1	1	yes	characteristic
724	C₂×C₄²	C₂⁴	1	1	yes	characteristic
725	C₂×C₄²	C₂⁴	1	4	yes	—
726	C₂×C₄²	C₂⁴	1	4	yes	—
727	C₂×C₄²	C₂⁴	1	8	yes	—
728	C₂×C₄²	C₂⁴	1	8	yes	—
729	C₂×C₄²	C₂⁴	1	2	yes	—
730	#95	C₂⁴	1	4	yes	—
731	#95	C₂⁴	1	4	yes	—
732	#95	C₂⁴	1	2	yes	—
733	#95	C₂⁴	1	4	yes	—
734	#95	C₂⁴	1	2	yes	—
735	#95	C₂⁴	1	8	yes	—
736	#95	C₂⁴	1	8	yes	—
737	#95	C₂⁴	1	4	yes	—
738	#95	C₂⁴	1	4	yes	—
739	#95	C₂⁴	1	4	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	4	yes	—
747	#95	C₂⁴	1	4	yes	—
748	#95	C₂⁴	1	4	yes	—
749	#95	C₂⁴	1	8	yes	—
750	#95	C₂⁴	1	8	yes	—
751	#95	C₂⁴	1	2	yes	—
752	#95	C₂⁴	1	4	yes	—
753	#95	C₂⁴	1	4	yes	—
754	#95	C₂⁴	1	4	yes	—
755	#95	C₂⁴	1	2	yes	—
756	#95	C₂⁴	1	8	yes	—
757	#95	C₂⁴	1	8	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	C₂⁴	—	2	2	no	—
763	C₂⁴	—	2	2	no	—
764	C₂⁴	—	2	2	no	—
765	C₂⁴	—	2	8	no	—
766	C₂⁴	—	2	8	no	—
767	C₂⁴	—	2	4	no	—
768	C₂⁴	—	2	2	no	—
769	C₂⁴	—	2	4	no	—
770	C₂⁴	—	2	16	no	—
771	C₂⁴	—	2	16	no	—
772	C₂⁴	—	2	2	no	—
773	C₂⁴	—	2	8	no	—
774	C₂⁴	—	2	8	no	—
775	C₂⁴	—	4	2	no	—
776	C₂⁴	—	4	4	no	—
777	C₂⁴	—	4	4	no	—
778	C₂⁴	—	4	8	no	—
779	C₂⁴	—	4	8	no	—
780	C₂⁴	—	4	4	no	—
781	C₂⁴	—	4	4	no	—
782	C₂⁴	—	4	1	no	—
783	C₂⁴	—	4	2	no	—
784	C₂⁴	—	4	4	no	—
785	C₂⁴	—	4	4	no	—
786	C₂⁴	—	4	4	no	—
787	C₂⁴	—	4	4	no	—
788	C₂⁴	—	4	32	no	—
789	C₂⁴	—	8	16	no	—
790	C₂⁴	—	8	32	no	—
791	C₂⁴	—	8	32	no	—
792	C₂⁴	—	8	16	no	—
793	C₂⁴	C₂×#41	1	16	yes	—
794	C₂⁴	C₂⁵	1	1	yes	characteristic
795	C₂⁴	C₂⁵	1	8	yes	—
796	C₂⁴	C₂⁵	1	1	yes	characteristic
797	C₂⁴	C₂⁵	1	1	yes	characteristic
798	C₂⁴	C₂⁵	1	1	yes	characteristic
799	C₂⁴	C₂⁵	1	1	yes	characteristic
800	C₂×Q₈	—	2	4	no	—
801	C₂×Q₈	—	4	2	no	—
802	C₂×Q₈	—	4	2	no	—
803	C₂×Q₈	—	4	4	no	—
804	C₂×Q₈	—	4	2	no	—
805	C₂×D₄	—	2	16	no	—
806	C₂×D₄	—	2	16	no	—
807	C₂×D₄	—	2	16	no	—
808	C₂×D₄	—	2	16	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	2	no	—
813	C₂×D₄	—	2	16	no	—
814	C₂×D₄	—	2	64	no	—
815	C₂×D₄	—	2	8	no	—
816	C₂×D₄	—	2	8	no	—
817	C₂×D₄	—	2	8	no	—
818	C₂×D₄	—	2	8	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	4	1	no	—
821	C₂×D₄	—	4	1	no	—
822	C₂×D₄	—	4	1	no	—
823	C₂×D₄	—	4	1	no	—
824	C₂×D₄	—	4	8	no	—
825	C₂×D₄	—	4	4	no	—
826	C₂×D₄	—	4	4	no	—
827	C₂×D₄	—	4	1	no	—
828	C₂×D₄	—	4	1	no	—
829	C₂×D₄	—	4	8	no	—
830	C₂×D₄	—	4	8	no	—
831	C₂×D₄	—	4	32	no	—
832	C₂×D₄	—	4	32	no	—
833	C₂×D₄	—	4	32	no	—
834	C₂×D₄	—	4	32	no	—
835	C₂×D₄	—	4	32	no	—
836	C₂×D₄	—	4	16	no	—
837	C₂×D₄	—	8	32	no	—
838	C₂×D₄	C₂×#41	1	16	yes	—
839	C₂×D₄	C₂×#41	1	16	yes	—
840	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
841	C₂²×C₄	—	2	4	no	—
842	C₂²×C₄	—	2	4	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	8	no	—
847	C₂²×C₄	—	2	16	no	—
848	C₂²×C₄	—	2	16	no	—
849	C₂²×C₄	—	2	2	no	—
850	C₂²×C₄	—	2	4	no	—
851	C₂²×C₄	—	2	4	no	—
852	C₂²×C₄	—	2	4	no	—
853	C₂²×C₄	—	2	4	no	—
854	C₂²×C₄	—	2	4	no	—
855	C₂²×C₄	—	2	4	no	—
856	C₂²×C₄	—	2	4	no	—
857	C₂²×C₄	—	2	4	no	—
858	C₂²×C₄	—	2	4	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	—	2	2	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	2	no	—
868	C₂²×C₄	—	4	1	no	—
869	C₂²×C₄	—	4	2	no	—
870	C₂²×C₄	—	4	2	no	—
871	C₂²×C₄	—	4	4	no	—
872	C₂²×C₄	—	4	8	no	—
873	C₂²×C₄	—	4	8	no	—
874	C₂²×C₄	—	4	2	no	—
875	C₂²×C₄	—	4	8	no	—
876	C₂²×C₄	—	4	8	no	—
877	C₂²×C₄	—	4	4	no	—
878	C₂²×C₄	—	4	4	no	—
879	C₂²×C₄	—	4	2	no	—
880	C₂²×C₄	—	4	8	no	—
881	C₂²×C₄	—	4	8	no	—
882	C₂²×C₄	—	4	8	no	—
883	C₂²×C₄	—	4	8	no	—
884	C₂²×C₄	—	4	8	no	—
885	C₂²×C₄	—	4	8	no	—
886	C₂²×C₄	—	4	16	no	—
887	C₂²×C₄	—	4	16	no	—
888	C₂²×C₄	C₂×#41	1	8	yes	—
889	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
890	C₂²×C₄	C₂⁵	1	1	yes	characteristic
891	C₂²×C₄	C₂⁵	1	1	yes	characteristic
892	C₂²×C₄	C₂⁵	1	4	yes	—
893	C₂²×C₄	C₂⁵	1	1	yes	characteristic
894	C₂²×C₄	C₂⁵	1	4	yes	—
895	C₂²×C₄	C₂⁵	1	1	yes	characteristic
896	C₂²×C₄	C₂⁵	1	8	yes	—
897	C₂²×C₄	C₂⁵	1	4	yes	—
898	C₂²×C₄	C₂⁵	1	4	yes	—
899	C₂²×C₄	C₂⁵	1	4	yes	—
900	C₂²×C₄	C₂⁵	1	1	yes	characteristic
901	C₂²×C₄	C₂⁵	1	1	yes	characteristic
902	C₂²×C₄	C₂⁵	1	4	yes	—
903	C₂²×C₄	C₂⁵	1	4	yes	—
904	C₂²×C₄	C₂⁵	1	4	yes	—
905	C₂²×C₄	C₂⁵	1	1	yes	characteristic
906	C₂²×C₄	C₂⁵	1	1	yes	characteristic
907	C₂²×C₄	C₂⁵	1	1	yes	characteristic
908	C₂²×C₄	C₂⁵	1	1	yes	characteristic
909	C₄⋊C₄	—	2	8	no	—
910	C₄⋊C₄	—	2	8	no	—
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	4	no	—
917	C₄⋊C₄	—	2	4	no	—
918	C₄⋊C₄	—	2	4	no	—
919	C₄⋊C₄	—	2	8	no	—
920	C₄⋊C₄	—	4	2	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₄⋊C₄	—	4	1	no	—
923	C₄⋊C₄	—	4	1	no	—
924	C₄⋊C₄	—	4	1	no	—
925	C₄⋊C₄	—	4	1	no	—
926	C₄⋊C₄	—	4	8	no	—
927	C₄⋊C₄	—	4	4	no	—
928	C₄⋊C₄	—	4	8	no	—
929	C₄⋊C₄	—	4	8	no	—
930	C₄⋊C₄	—	4	8	no	—
931	C₄⋊C₄	—	4	4	no	—
932	C₄⋊C₄	—	4	4	no	—
933	C₄⋊C₄	—	4	2	no	—
934	C₄⋊C₄	—	4	2	no	—
935	C₄⋊C₄	—	4	8	no	—
936	C₄⋊C₄	—	4	4	no	—
937	C₄⋊C₄	—	4	8	no	—
938	C₄⋊C₄	—	4	4	no	—
939	C₂²⋊C₄	—	2	8	no	—
940	C₂²⋊C₄	—	2	8	no	—
941	C₂²⋊C₄	—	2	16	no	—
942	C₂²⋊C₄	—	2	16	no	—
943	C₂²⋊C₄	—	2	16	no	—
944	C₂²⋊C₄	—	2	16	no	—
945	C₂²⋊C₄	—	2	8	no	—
946	C₂²⋊C₄	—	2	8	no	—
947	C₂²⋊C₄	—	2	8	no	—
948	C₂²⋊C₄	—	2	8	no	—
949	C₂²⋊C₄	—	2	8	no	—
950	C₂²⋊C₄	—	2	8	no	—
951	C₂²⋊C₄	—	2	4	no	—
952	C₂²⋊C₄	—	2	8	no	—
953	C₂²⋊C₄	—	2	8	no	—
954	C₂²⋊C₄	—	2	16	no	—
955	C₂²⋊C₄	—	4	8	no	—
956	C₂²⋊C₄	—	4	8	no	—
957	C₂²⋊C₄	—	4	4	no	—
958	C₂²⋊C₄	—	4	8	no	—
959	C₂²⋊C₄	—	4	1	no	—
960	C₂²⋊C₄	—	4	1	no	—
961	C₂²⋊C₄	—	4	1	no	—
962	C₂²⋊C₄	—	4	1	no	—
963	C₂²⋊C₄	—	4	1	no	—
964	C₂²⋊C₄	—	4	1	no	—
965	C₂²⋊C₄	—	4	1	no	—
966	C₂²⋊C₄	—	4	1	no	—
967	C₂²⋊C₄	—	4	8	no	—
968	C₂²⋊C₄	—	4	8	no	—
969	C₂²⋊C₄	—	4	4	no	—
970	C₂²⋊C₄	—	4	8	no	—
971	C₂²⋊C₄	—	4	8	no	—
972	C₂²⋊C₄	—	4	4	no	—
973	C₂²⋊C₄	—	4	4	no	—
974	C₂²⋊C₄	—	4	4	no	—
975	C₂²⋊C₄	—	4	4	no	—
976	C₂²⋊C₄	—	4	8	no	—
977	C₂²⋊C₄	—	4	8	no	—
978	C₂²⋊C₄	—	4	8	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	2	no	—
984	C₂²⋊C₄	—	4	4	no	—
985	C₂²⋊C₄	—	4	4	no	—
986	C₂²⋊C₄	—	4	4	no	—
987	C₄²	—	2	8	no	—
988	C₄²	—	2	8	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	8	no	—
994	C₄²	—	2	8	no	—
995	C₄²	—	2	4	no	—
996	C₄²	—	4	4	no	—
997	C₄²	—	4	8	no	—
998	C₄²	—	4	4	no	—
999	C₄²	—	4	8	no	—
1000	C₄²	—	4	2	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	2	8	no	—
1005	C₂³	—	2	2	no	—
1006	C₂³	—	2	2	no	—
1007	C₂³	—	2	2	no	—
1008	C₂³	—	2	8	no	—
1009	C₂³	—	2	8	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	8	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	8	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	8	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	8	no	—
1023	C₂³	—	2	32	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	4	16	no	—
1030	C₂³	—	4	16	no	—
1031	C₂³	—	4	8	no	—
1032	C₂³	—	4	8	no	—
1033	C₂³	—	4	16	no	—
1034	C₂³	—	4	16	no	—
1035	C₂³	—	4	4	no	—
1036	C₂³	—	4	8	no	—
1037	C₂³	—	4	32	no	—
1038	C₂³	—	4	32	no	—
1039	C₂³	—	4	4	no	—
1040	C₂³	—	4	4	no	—
1041	C₂³	—	4	4	no	—
1042	C₂³	—	8	4	no	—
1043	C₂³	—	8	2	no	—
1044	C₂³	—	8	8	no	—
1045	C₂³	—	8	8	no	—
1046	C₂³	—	8	8	no	—
1047	C₂³	—	8	8	no	—
1048	C₂³	—	8	16	no	—
1049	C₂³	—	8	16	no	—
1050	C₂³	—	8	8	no	—
1051	C₂³	—	8	8	no	—
1052	C₂³	—	8	8	no	—
1053	C₂³	—	8	8	no	—
1054	C₂³	—	8	128	no	—
1055	C₂³	C₂²×#41	1	16	yes	—
1056	C₂³	C₂²×#41	1	4	yes	—
1057	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1058	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1059	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1060	C₂³	#585	1	2	yes	—
1061	C₂³	C₂⁶	1	1	yes	characteristic
1062	Q₈	—	8	4	no	—
1063	Q₈	—	8	4	no	—
1064	D₄	—	2	32	no	—
1065	D₄	—	2	32	no	—
1066	D₄	—	4	4	no	—
1067	D₄	—	4	4	no	—
1068	D₄	—	4	4	no	—
1069	D₄	—	4	16	no	—
1070	D₄	—	4	16	no	—
1071	D₄	—	4	32	no	—
1072	D₄	—	4	4	no	—
1073	D₄	—	8	16	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	4	no	—
1077	C₂×C₄	—	2	4	no	—
1078	C₂×C₄	—	2	4	no	—
1079	C₂×C₄	—	2	4	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	8	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	4	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	1	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	8	no	—
1096	C₂×C₄	—	2	4	no	—
1097	C₂×C₄	—	2	4	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	4	no	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	2	4	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	4	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	4	no	—
1110	C₂×C₄	—	2	4	no	—
1111	C₂×C₄	—	2	8	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	4	no	—
1114	C₂×C₄	—	2	4	no	—
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	4	no	—
1118	C₂×C₄	—	4	4	no	—
1119	C₂×C₄	—	4	4	no	—
1120	C₂×C₄	—	4	4	no	—
1121	C₂×C₄	—	4	4	no	—
1122	C₂×C₄	—	4	4	no	—
1123	C₂×C₄	—	4	4	no	—
1124	C₂×C₄	—	4	4	no	—
1125	C₂×C₄	—	4	4	no	—
1126	C₂×C₄	—	4	4	no	—
1127	C₂×C₄	—	4	4	no	—
1128	C₂×C₄	—	4	4	no	—
1129	C₂×C₄	—	8	16	no	—
1130	C₂×C₄	—	8	16	no	—
1131	C₂×C₄	—	8	4	no	—
1132	C₂×C₄	—	8	2	no	—
1133	C₂×C₄	—	8	8	no	—
1134	C₂×C₄	—	8	4	no	—
1135	C₂×C₄	—	16	8	no	—
1136	C₂×C₄	—	16	8	no	—
1137	C₂×C₄	#551	1	16	yes	complemented
1138	C₂×C₄	C₂²×#41	1	4	yes	—
1139	C₂×C₄	C₂²×#41	1	4	yes	—
1140	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1141	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1142	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	2	2	no	—
1146	C₂²	—	2	2	no	—
1147	C₂²	—	2	16	no	—
1148	C₂²	—	2	4	no	—
1149	C₂²	—	2	4	no	—
1150	C₂²	—	2	16	no	—
1151	C₂²	—	2	4	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	16	no	—
1156	C₂²	—	4	16	no	—
1157	C₂²	—	4	8	no	—
1158	C₂²	—	4	2	no	—
1159	C₂²	—	4	8	no	—
1160	C₂²	—	4	2	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	8	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	8	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	2	no	—
1171	C₂²	—	4	2	no	—
1172	C₂²	—	4	1	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	4	1	no	—
1175	C₂²	—	8	32	no	—
1176	C₂²	—	8	8	no	—
1177	C₂²	—	8	32	no	—
1178	C₂²	—	8	32	no	—
1179	C₂²	C₂×#551	1	4	yes	—
1180	C₂²	C₂³×#41	1	2	yes	—
1181	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1182	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1183	C₂²	C₂×#585	1	1	yes	characteristic
1184	C₂²	H(7,𝔽₂)	1	2	yes	—
1185	C₄	—	2	2	no	—
1186	C₄	—	4	4	no	—
1187	C₄	—	4	4	no	—
1188	C₄	—	4	8	no	—
1189	C₄	—	4	4	no	—
1190	C₄	—	4	4	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	4	no	—
1193	C₄	—	4	4	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	4	no	—
1196	C₄	—	4	1	no	—
1197	C₄	—	4	4	no	—
1198	C₄	—	4	1	no	—
1199	C₄	—	4	1	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	1	no	—
1202	C₄	C₂×#551	1	4	yes	—
1203	C₄	C₂×#551	1	4	yes	—
1204	C₂	—	2	4	no	—
1205	C₂	—	4	2	no	—
1206	C₂	—	4	2	no	—
1207	C₂	—	4	2	no	—
1208	C₂	—	4	16	no	—
1209	C₂	—	8	1	no	—
1210	C₂	C₂²×#551	1	1	yes	characteristic
1211	C₂	#62818	1	1	yes	characteristic
1212	C₂	#62874	1	1	yes	characteristic
1213	C₂	#62983	1	2	yes	—
1214	C₂	#62990	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂×#2408	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. #59945	C₂	semidirect
2. #59843	C₂	semidirect
3. #59562	C₂	semidirect
4. #59382	C₂	semidirect
5. #59378	C₂	semidirect
6. #59375	C₂	semidirect
7. #59192	C₂	semidirect
8. #59006	C₂	semidirect
9. #45380	C₂	semidirect
10. #45377	C₂	semidirect
11. #45214	C₂	semidirect
12. #45088	C₂	semidirect
13. #45061	C₂	semidirect
14. #45006	C₂	semidirect
15. #43047	C₂	semidirect
16. #43046	C₂	semidirect
17. #35544	C₂	semidirect
18. #35540	C₂	semidirect
19. #35515	C₂	semidirect
20. #34946	C₂	semidirect
21. #34809	C₂	semidirect
23. #34255	C₂	semidirect
24. #34204	C₂	semidirect
25. #34171	C₂	semidirect
27. C₂×#551	C₂²	semidirect
28. C₂×#533	C₂²	semidirect
34. C₂²×#117	C₂²	semidirect
35. #2782	C₂²	semidirect
36. #2778	C₂²	semidirect
37. #2760	C₂²	semidirect
38. #2750	C₂²	semidirect
39. #2749	C₂²	semidirect
40. #2746	C₂²	semidirect
41. #2743	C₂²	semidirect
42. #2736	C₂²	semidirect
43. #2735	C₂²	semidirect
44. #2735	C₂²	semidirect
45. #2728	C₂²	semidirect
46. #2697	C₂²	semidirect
47. #2696	C₂²	semidirect
48. #2693	C₂²	semidirect
49. #2685	C₂²	semidirect
50. #2684	C₂²	semidirect
51. #2609	C₂²	semidirect
52. #2600	C₂²	semidirect
53. #2598	C₂²	semidirect
54. #2580	C₂²	semidirect
55. #2580	C₂²	semidirect
56. #2578	C₂²	semidirect
57. #2576	C₂²	semidirect
58. #2572	C₂²	semidirect
59. #2563	C₂²	semidirect
60. #2563	C₂²	semidirect
61. #2562	C₂²	semidirect
62. #2562	C₂²	semidirect
64. #2561	C₂²	semidirect
65. #2561	C₂²	semidirect
66. #2547	C₂²	semidirect
67. #2547	C₂²	semidirect
68. #2538	C₂²	semidirect
69. #2538	C₂²	semidirect
70. #2534	C₂²	semidirect
71. #2503	C₂²	semidirect
72. #2497	C₂²	semidirect
73. #2497	C₂²	semidirect
74. #2496	C₂²	semidirect
75. #2496	C₂²	semidirect
76. #2495	C₂²	semidirect
77. #2495	C₂²	semidirect
78. #2494	C₂²	semidirect
79. #2494	C₂²	semidirect
80. #2493	C₂²	semidirect
81. #2487	C₂²	semidirect
82. #2487	C₂²	semidirect
83. #2486	C₂²	semidirect
84. #2486	C₂²	semidirect
85. #2485	C₂²	semidirect
86. #2485	C₂²	semidirect
87. #2484	C₂²	semidirect
88. #2483	C₂²	semidirect
89. #2483	C₂²	semidirect
90. #2483	C₂²	semidirect
92. #2482	C₂²	semidirect
94. #2480	C₂²	semidirect
95. #2480	C₂²	semidirect
96. #2477	C₂²	semidirect
97. #2472	C₂²	semidirect
98. #2471	C₂²	semidirect
99. #2463	C₂²	semidirect
100. #2457	C₂²	semidirect
101. #2454	C₂²	semidirect
102. #2454	C₂²	semidirect
103. #2452	C₂²	semidirect
104. #2452	C₂²	semidirect
105. #2437	C₂²	semidirect
106. #2437	C₂²	semidirect
107. #2437	C₂²	semidirect
109. #2422	C₂²	semidirect
110. #2422	C₂²	semidirect
111. #2422	C₂²	semidirect
112. #2422	C₂²	semidirect
113. #2420	C₂²	semidirect
114. #2420	C₂²	semidirect
115. #2420	C₂²	semidirect
116. #2420	C₂²	semidirect
117. #2418	C₂²	semidirect
118. #2412	C₂²	semidirect
119. #2411	C₂²	semidirect
129. #2405	C₂²	semidirect
130. #2398	C₂²	semidirect
131. #2398	C₂²	semidirect
132. #2395	C₂²	semidirect
133. #2395	C₂²	semidirect
136. #2363	C₂²	semidirect
137. #2363	C₂²	semidirect
138. #2361	C₂²	semidirect
139. #2361	C₂²	semidirect
140. #2358	C₂²	semidirect
141. #2357	C₂²	semidirect
142. #2357	C₂²	semidirect
143. #2354	C₂²	semidirect
144. #2354	C₂²	semidirect
145. #2342	C₂²	semidirect
146. #2342	C₂²	semidirect
147. #2342	C₂²	semidirect
148. #2342	C₂²	semidirect
149. D₄×C₂²⋊C₄	C₂²	semidirect
150. D₄×C₂²⋊C₄	C₂²	semidirect
151. D₄×C₂²⋊C₄	C₂²	semidirect
152. D₄×C₂²⋊C₄	C₂²	semidirect
153. D₄×C₂²⋊C₄	C₂²	semidirect
154. D₄×C₂²⋊C₄	C₂²	semidirect
155. D₄×C₂²⋊C₄	C₂²	semidirect
156. D₄×C₂²⋊C₄	C₂²	semidirect
157. D₄×C₂²⋊C₄	C₂²	semidirect
158. #2324	C₂²	semidirect
159. #2324	C₂²	semidirect
160. #2319	C₂²	semidirect
161. #2319	C₂²	semidirect
162. #2317	C₂²	semidirect
163. #2317	C₂²	semidirect
164. #2316	C₂²	semidirect
168. C₄×#124	C₂²	semidirect
169. C₄×#124	C₂²	semidirect
170. C₄×#123	C₂²	semidirect
171. C₄×#123	C₂²	semidirect
172. C₄×#121	C₂²	semidirect
173. C₄×#121	C₂²	semidirect
174. #2296	C₂²	semidirect
175. #2293	C₂²	semidirect
176. #2293	C₂²	semidirect
180. #2280	C₂²	semidirect
181. #2280	C₂²	semidirect
185. #2274	C₂²	semidirect
186. C₄×#117	C₂²	semidirect
202. C₂×C₄⋊Q₈	C₂³	semidirect
203. C₂×C₄⋊Q₈	C₂³	semidirect
205. C₂×#125	C₂³	semidirect
210. C₂×#123	C₂³	semidirect
211. C₂×#123	C₂³	semidirect
214. C₂×C₂²⋊Q₈	C₂³	semidirect
215. C₂×C₂²⋊Q₈	C₂³	semidirect
228. C₂×C₄×Q₈	C₂³	semidirect
229. C₂×C₄×Q₈	C₂³	semidirect
247. C₂×C₄×D₄	C₂³	semidirect
248. C₂×C₄×D₄	C₂³	semidirect
255. C₂×#117	C₂³	semidirect
256. C₂×#117	C₂³	semidirect
257. C₂×#117	C₂³	semidirect
258. C₂×#117	C₂³	semidirect
261. C₂²×C₄⋊C₄	C₂³	semidirect
262. C₂²×C₄⋊C₄	C₂³	semidirect
277. C₂²×C₄²	C₂³	semidirect
278. #401	C₂³	semidirect
279. #400	C₂³	semidirect
280. #400	C₂³	semidirect
281. #400	C₂³	semidirect
282. #400	C₂³	semidirect
283. #400	C₂³	semidirect
284. #400	C₂³	semidirect
285. #400	C₂³	semidirect
288. #399	C₂³	semidirect
289. #399	C₂³	semidirect
290. #398	C₂³	semidirect
291. #398	C₂³	semidirect
299. #397	C₂³	semidirect
300. #397	C₂³	semidirect
301. #397	C₂³	semidirect
302. #397	C₂³	semidirect
303. #397	C₂³	semidirect
304. #397	C₂³	semidirect
305. #397	C₂³	semidirect
306. #397	C₂³	semidirect
308. #396	C₂³	semidirect
309. #396	C₂³	semidirect
310. #396	C₂³	semidirect
311. #396	C₂³	semidirect
320. #394	C₂³	semidirect
321. #394	C₂³	semidirect
322. #394	C₂³	semidirect
323. #394	C₂³	semidirect
326. #393	C₂³	semidirect
327. #393	C₂³	semidirect
328. #393	C₂³	semidirect
329. #393	C₂³	semidirect
334. #391	C₂³	semidirect
335. #391	C₂³	semidirect
350. #390	C₂³	semidirect
351. #390	C₂³	semidirect
352. #389	C₂³	semidirect
353. #389	C₂³	semidirect
354. #389	C₂³	semidirect
355. #389	C₂³	semidirect
356. #389	C₂³	semidirect
357. #389	C₂³	semidirect
358. #389	C₂³	semidirect
359. #389	C₂³	semidirect
360. #389	C₂³	semidirect
361. #389	C₂³	semidirect
362. #389	C₂³	semidirect
363. #389	C₂³	semidirect
371. #388	C₂³	semidirect
372. #388	C₂³	semidirect
373. #388	C₂³	semidirect
374. #388	C₂³	semidirect
375. #388	C₂³	semidirect
376. #388	C₂³	semidirect
377. #388	C₂³	semidirect
378. #388	C₂³	semidirect
379. #388	C₂³	semidirect
380. #388	C₂³	semidirect
381. #388	C₂³	semidirect
382. #388	C₂³	semidirect
383. #388	C₂³	semidirect
384. #388	C₂³	semidirect
385. #387	C₂³	semidirect
386. #387	C₂³	semidirect
387. #387	C₂³	semidirect
388. #387	C₂³	semidirect
389. #387	C₂³	semidirect
400. #386	C₂³	semidirect
401. #386	C₂³	semidirect
402. #386	C₂³	semidirect
403. #386	C₂³	semidirect
404. #386	C₂³	semidirect
405. #386	C₂³	semidirect
410. #385	C₂³	semidirect
411. #385	C₂³	semidirect
412. #385	C₂³	semidirect
413. #385	C₂³	semidirect
414. #385	C₂³	semidirect
415. #385	C₂³	semidirect
416. #385	C₂³	semidirect
417. #385	C₂³	semidirect
418. #385	C₂³	semidirect
419. #385	C₂³	semidirect
420. #384	C₂³	semidirect
421. #384	C₂³	semidirect
422. #383	C₂³	semidirect
423. #382	C₂³	semidirect
424. #382	C₂³	semidirect
425. #382	C₂³	semidirect
426. #382	C₂³	semidirect
431. #381	C₂³	semidirect
432. #381	C₂³	semidirect
433. #381	C₂³	semidirect
434. #381	C₂³	semidirect
435. #381	C₂³	semidirect
436. #381	C₂³	semidirect
450. #380	C₂³	semidirect
451. #380	C₂³	semidirect
452. #380	C₂³	semidirect
453. #380	C₂³	semidirect
454. #380	C₂³	semidirect
455. #380	C₂³	semidirect
456. #380	C₂³	semidirect
457. #380	C₂³	semidirect
458. #380	C₂³	semidirect
459. #380	C₂³	semidirect
460. #380	C₂³	semidirect
475. C₄×C₄⋊C₄	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
491. C₄×C₂²⋊C₄	C₂³	semidirect
492. C₄×C₂²⋊C₄	C₂³	semidirect
493. C₄×C₂²⋊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. #376	C₂³	semidirect
501. C₄³	C₂³	semidirect
1137. C₂×C₄	#551	semidirect

Maximal subgroups

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

subgroup	index
#59945	2
#59843	2
#59562	2
#59382	2
#59378	2
#59375	2
#59192	2
#59006	2
#45380	2
#45377	2
#45214	2
#45088	2
#45061	2
#45006	2
#43047	2
#43046	2
#35544	2
#35540	2
#35515	2
#34946	2
#34809	2
C₂×#2408	2
#34255	2
#34204	2
#34171	2