Subgroups — #11707311

Order 768.

8054 conjugacy classes of subgroups.

The subgroup lattice has 1118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
2	#87284	C₂	1	2	yes	maximal, complemented
3	#85905	C₂	1	8	yes	maximal, complemented
4	#85903	C₂	1	4	yes	maximal, complemented
5	#85871	C₂	1	8	yes	maximal, complemented
6	#85868	C₂	1	8	yes	maximal, complemented
7	D₃×#518	C₂	1	2	yes	maximal, complemented
8	#85852	C₂	1	4	yes	maximal, complemented
9	#85848	C₂	1	2	yes	maximal, complemented
10	#85843	C₂	1	4	yes	maximal, complemented
11	#85840	C₂	1	2	yes	maximal, complemented
12	#85790	C₂	1	4	yes	maximal, complemented
13	#85787	C₂	1	4	yes	maximal, complemented
14	D₄×#235	C₂	1	4	yes	maximal, complemented
15	C₂×#5550	C₂	1	4	yes	maximal, complemented
16	C₂×D₄×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
17	#85766	C₂	1	1	yes	maximal, characteristic, complemented
18	#62983	—	3	1	no	maximal, Sylow
19	C₂×C₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
20	C₂²×D₃×D₄	C₂²	1	2	yes	—
21	C₂²×#235	C₂²	1	4	yes	complemented
22	C₂³×D₁₂	C₂²	1	2	yes	complemented
23	C₃×#520	C₂²	1	2	yes	complemented
24	C₃×#520	C₂²	1	4	yes	complemented
25	C₃×#518	C₂²	1	1	yes	characteristic
26	C₃×#518	C₂²	1	4	yes	complemented
27	C₃×#518	C₂²	1	4	yes	complemented
28	C₃×C₄×#41	C₂²	1	2	yes	complemented
29	C₃×C₄×#41	C₂²	1	4	yes	complemented
30	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
31	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
32	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
33	#5830	C₂²	1	4	yes	complemented
34	#5829	C₂²	1	8	yes	complemented
35	#5829	C₂²	1	8	yes	complemented
36	#5828	C₂²	1	4	yes	complemented
37	#5804	C₂²	1	8	yes	complemented
38	D₄×#67	C₂²	1	8	yes	complemented
39	D₄×#67	C₂²	1	8	yes	complemented
40	C₂×#937	C₂²	1	8	yes	complemented
41	#5798	C₂²	1	2	yes	—
42	#5791	C₂²	1	8	yes	complemented
43	C₂×#930	C₂²	1	2	yes	complemented
44	C₂×#930	C₂²	1	4	yes	complemented
45	C₂×#924	C₂²	1	4	yes	complemented
46	#5585	C₂²	1	4	yes	complemented
47	#5585	C₂²	1	4	yes	complemented
48	#5584	C₂²	1	2	yes	complemented
49	#5582	C₂²	1	8	yes	complemented
50	#5581	C₂²	1	4	yes	complemented
51	#5580	C₂²	1	8	yes	complemented
52	#5579	C₂²	1	2	yes	complemented
53	#5565	C₂²	1	8	yes	complemented
54	#5563	C₂²	1	2	yes	complemented
55	#5562	C₂²	1	8	yes	complemented
56	#5560	C₂²	1	16	yes	complemented
57	#5560	C₂²	1	16	yes	complemented
58	#5558	C₂²	1	4	yes	complemented
59	#5556	C₂²	1	16	yes	complemented
60	#5556	C₂²	1	8	yes	complemented
61	#5553	C₂²	1	4	yes	complemented
62	#5553	C₂²	1	4	yes	complemented
63	#5552	C₂²	1	8	yes	complemented
64	#5551	C₂²	1	2	yes	complemented
65	#5550	C₂²	1	4	yes	complemented
66	#5550	C₂²	1	8	yes	complemented
67	#5550	C₂²	1	8	yes	complemented
68	#5550	C₂²	1	8	yes	complemented
69	#5550	C₂²	1	16	yes	complemented
70	#5550	C₂²	1	8	yes	complemented
71	#5550	C₂²	1	16	yes	complemented
72	D₄×D₁₂	C₂²	1	4	yes	complemented
73	D₄×D₁₂	C₂²	1	4	yes	complemented
74	D₄×D₁₂	C₂²	1	8	yes	complemented
75	#5548	C₂²	1	8	yes	complemented
76	#5547	C₂²	1	16	yes	complemented
77	#5547	C₂²	1	16	yes	complemented
78	#5545	C₂²	1	8	yes	complemented
79	#5545	C₂²	1	8	yes	complemented
80	C₄×D₃×D₄	C₂²	1	8	yes	complemented
81	C₄×D₃×D₄	C₂²	1	8	yes	complemented
82	#5543	C₂²	1	4	yes	complemented
83	#5541	C₂²	1	4	yes	complemented
84	#5540	C₂²	1	16	yes	complemented
85	#5539	C₂²	1	8	yes	complemented
86	D₄×Dic₆	C₂²	1	4	yes	complemented
87	#5535	C₂²	1	8	yes	complemented
88	#5532	C₂²	1	8	yes	complemented
89	#5530	C₂²	1	8	yes	complemented
90	#5528	C₂²	1	8	yes	complemented
91	#5527	C₂²	1	16	yes	complemented
92	#5527	C₂²	1	16	yes	complemented
93	#5521	C₂²	1	4	yes	complemented
94	D₃×#117	C₂²	1	4	yes	complemented
95	#5515	C₂²	1	8	yes	complemented
96	#5514	C₂²	1	8	yes	complemented
97	#5507	C₂²	1	8	yes	complemented
98	C₂×#895	C₂²	1	2	yes	complemented
99	C₂×#894	C₂²	1	8	yes	complemented
100	#5500	C₂²	1	2	yes	complemented
101	#5494	C₂²	1	8	yes	complemented
102	#5490	C₂²	1	16	yes	complemented
103	#5490	C₂²	1	16	yes	complemented
104	C₂×#884	C₂²	1	8	yes	complemented
105	C₂×#882	C₂²	1	4	yes	complemented
106	#5486	C₂²	1	8	yes	complemented
107	C₂×D₃×C₂²⋊C₄	C₂²	1	8	yes	complemented
108	#5483	C₂²	1	4	yes	complemented
109	#5479	C₂²	1	4	yes	complemented
110	#5479	C₂²	1	8	yes	complemented
111	#5477	C₂²	1	4	yes	complemented
112	#5477	C₂²	1	4	yes	complemented
113	C₂×#875	C₂²	1	4	yes	complemented
114	C₂×#874	C₂²	1	1	yes	characteristic, complemented
115	C₄×#235	C₂²	1	4	yes	complemented
116	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×D₁₂	C₂²	1	4	yes	complemented
118	#5470	C₂²	1	2	yes	complemented
119	#3519	—	3	8	no	—
120	#3519	—	3	4	no	—
121	#3514	—	3	4	no	—
122	#3513	—	3	8	no	—
123	#3508	—	3	2	no	—
124	#3505	—	3	4	no	—
125	#3501	—	3	1	no	—
126	#3494	—	3	4	no	—
127	#3490	—	3	8	no	—
128	#3484	—	3	2	no	—
129	#3481	—	3	4	no	—
130	#3475	—	3	2	no	—
131	D₄×#41	—	3	4	no	—
132	C₂×#546	—	3	4	no	—
133	C₂×D₄²	—	3	1	no	—
134	C₄×H(5,𝔽₂)	D₃	1	1	yes	characteristic, complemented
135	C₂×#518	—	3	2	no	—
136	C₂⁴×D₃	C₂³	1	4	yes	—
137	C₃×H(5,𝔽₂)	—	2	8	no	—
138	C₂×C₃×#41	C₂³	1	2	yes	—
139	C₂×C₃×#41	C₂³	1	4	yes	—
140	C₂²×C₃×D₄	C₂³	1	4	yes	—
141	C₂²×C₃×D₄	C₂³	1	4	yes	—
142	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
143	C₂³×C₃×C₄	C₂³	1	2	yes	—
144	C₂³×C₃×C₄	C₂³	1	4	yes	complemented
145	C₂²×#67	C₂³	1	4	yes	—
146	C₂²×#67	C₂³	1	8	yes	complemented
147	C₂²×#67	C₂³	1	8	yes	complemented
148	C₂×D₃×D₄	—	2	16	no	—
149	C₂×D₃×D₄	C₂³	1	8	yes	—
150	C₂×D₃×D₄	C₂³	1	8	yes	—
151	C₂×#235	—	4	16	no	—
152	C₂×#235	C₂³	1	4	yes	—
153	C₂×#235	C₂³	1	8	yes	complemented
154	C₂×#235	C₂³	1	16	yes	complemented
155	C₂×#235	C₂³	1	8	yes	complemented
156	C₂²×D₁₂	—	4	8	no	—
157	C₂²×D₁₂	C₂³	1	1	yes	characteristic
158	C₂²×D₁₂	C₂³	1	4	yes	—
159	C₂²×D₁₂	C₂³	1	2	yes	—
160	C₂²×D₁₂	C₂³	1	2	yes	—
161	C₂²×D₁₂	C₂³	1	4	yes	—
162	C₂²×D₁₂	C₂³	1	4	yes	—
163	C₂²×D₁₂	C₂³	1	8	yes	—
164	C₂²×D₁₂	C₂³	1	2	yes	—
165	C₂²×C₄×D₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
167	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
168	C₂²×Dic₆	C₂³	1	4	yes	complemented
169	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
170	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
171	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
172	C₃×C₄×D₄	C₂³	1	4	yes	—
173	C₃×C₄×D₄	C₂³	1	4	yes	—
174	C₃×C₄×D₄	C₂³	1	4	yes	—
175	C₃×C₄×D₄	C₂³	1	4	yes	—
176	C₃×C₄×D₄	C₂³	1	4	yes	—
177	C₃×C₄×D₄	C₂³	1	8	yes	—
178	C₃×C₄×D₄	C₂³	1	4	yes	—
179	C₃×C₄×D₄	C₂³	1	8	yes	complemented
180	C₃×C₄×D₄	C₂³	1	8	yes	complemented
181	C₃×C₄×D₄	C₂³	1	8	yes	complemented
182	C₃×C₄×D₄	C₂³	1	4	yes	complemented
183	C₃×C₄×D₄	C₂³	1	8	yes	complemented
184	C₃×C₄×D₄	C₂³	1	2	yes	complemented
185	C₃×C₄×D₄	C₂³	1	2	yes	complemented
186	C₃×#117	C₂³	1	2	yes	—
187	C₃×#117	C₂³	1	8	yes	complemented
188	C₃×#117	C₂³	1	4	yes	complemented
189	C₃×#117	C₂³	1	4	yes	complemented
190	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
192	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
193	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
195	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
196	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
197	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
198	C₂×C₃×C₄²	C₂³	1	4	yes	complemented
199	C₂×C₃×C₄²	C₂³	1	4	yes	complemented
200	#953	C₂³	1	16	yes	complemented
201	C₂×#217	C₂³	1	8	yes	—
202	#947	C₂³	1	8	yes	complemented
203	#946	C₂³	1	4	yes	complemented
204	#946	C₂³	1	4	yes	complemented
205	#940	C₂³	1	8	yes	complemented
206	#939	C₂³	1	16	yes	complemented
207	#939	C₂³	1	16	yes	complemented
208	#938	C₂³	1	4	yes	complemented
209	#938	C₂³	1	4	yes	complemented
210	#937	C₂³	1	8	yes	—
211	#937	C₂³	1	16	yes	—
212	#937	C₂³	1	16	yes	complemented
213	#937	C₂³	1	16	yes	complemented
214	#935	C₂³	1	8	yes	—
215	D₄×Dic₃	C₂³	1	8	yes	—
216	D₄×Dic₃	C₂³	1	8	yes	—
217	#930	C₂³	1	4	yes	—
218	#930	C₂³	1	8	yes	—
219	#930	C₂³	1	8	yes	—
220	#930	C₂³	1	8	yes	complemented
221	#930	C₂³	1	8	yes	complemented
222	#930	C₂³	1	8	yes	complemented
223	#930	C₂³	1	8	yes	complemented
224	#930	C₂³	1	16	yes	complemented
225	#929	C₂³	1	8	yes	complemented
226	#929	C₂³	1	16	yes	complemented
227	#929	C₂³	1	16	yes	complemented
228	C₄×#67	C₂³	1	8	yes	complemented
229	C₄×#67	C₂³	1	8	yes	complemented
230	C₄×#67	C₂³	1	16	yes	complemented
231	C₄×#67	C₂³	1	8	yes	complemented
232	C₄×#67	C₂³	1	16	yes	complemented
233	C₄×#67	C₂³	1	16	yes	complemented
234	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
235	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
236	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
237	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
238	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
239	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
240	#926	C₂³	1	4	yes	—
241	#926	C₂³	1	4	yes	complemented
242	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₃	C₂³	1	4	yes	complemented
244	#924	C₂³	1	4	yes	—
245	#924	C₂³	1	4	yes	—
246	#924	C₂³	1	8	yes	—
247	#924	C₂³	1	8	yes	complemented
248	#924	C₂³	1	4	yes	complemented
249	#924	C₂³	1	8	yes	complemented
250	C₂×Dic₃⋊C₄	C₂³	1	8	yes	complemented
251	#898	C₂³	1	16	yes	complemented
252	#898	C₂³	1	8	yes	complemented
253	#896	C₂³	1	16	yes	complemented
254	#896	C₂³	1	8	yes	complemented
255	#895	C₂³	1	8	yes	—
256	#895	C₂³	1	8	yes	—
257	#894	C₂³	1	8	yes	—
258	#894	C₂³	1	16	yes	complemented
259	#894	C₂³	1	16	yes	complemented
260	#894	C₂³	1	16	yes	complemented
261	#894	C₂³	1	16	yes	complemented
262	#893	C₂³	1	8	yes	complemented
263	#893	C₂³	1	8	yes	complemented
264	#892	C₂³	1	4	yes	complemented
265	#892	C₂³	1	4	yes	complemented
266	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
267	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
268	#890	C₂³	1	8	yes	complemented
269	#889	C₂³	1	8	yes	complemented
270	#888	C₂³	1	8	yes	complemented
271	#885	C₂³	1	8	yes	complemented
272	#885	C₂³	1	16	yes	complemented
273	#884	C₂³	1	8	yes	—
274	#884	C₂³	1	16	yes	complemented
275	#884	C₂³	1	16	yes	complemented
276	#884	C₂³	1	16	yes	complemented
277	#884	C₂³	1	16	yes	complemented
278	#883	C₂³	1	8	yes	complemented
279	#883	C₂³	1	16	yes	complemented
280	#882	C₂³	1	16	yes	—
281	#882	C₂³	1	16	yes	—
282	#67⋊C₄	C₂³	1	16	yes	complemented
283	#67⋊C₄	C₂³	1	16	yes	complemented
284	D₃×C₂²⋊C₄	C₂³	1	8	yes	—
285	D₃×C₂²⋊C₄	C₂³	1	16	yes	—
286	D₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
287	D₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
288	#879	C₂³	1	8	yes	complemented
289	#878	C₂³	1	16	yes	complemented
290	#878	C₂³	1	16	yes	complemented
291	#877	C₂³	1	8	yes	—
292	#876	C₂³	1	8	yes	complemented
293	#876	C₂³	1	16	yes	complemented
294	#875	C₂³	1	4	yes	—
295	#875	C₂³	1	8	yes	complemented
296	#875	C₂³	1	16	yes	complemented
297	#875	C₂³	1	8	yes	complemented
298	#874	C₂³	1	4	yes	—
299	#874	C₂³	1	4	yes	—
300	C₄×D₁₂	C₂³	1	4	yes	—
301	C₄×D₁₂	C₂³	1	2	yes	—
302	C₄×D₁₂	C₂³	1	2	yes	—
303	C₄×D₁₂	C₂³	1	4	yes	—
304	C₄×D₁₂	C₂³	1	8	yes	complemented
305	C₄×D₁₂	C₂³	1	16	yes	complemented
306	C₄×D₁₂	C₂³	1	8	yes	complemented
307	C₄×D₁₂	C₂³	1	8	yes	complemented
308	C₄×D₁₂	C₂³	1	8	yes	complemented
309	#872	C₂³	1	8	yes	complemented
310	#872	C₂³	1	8	yes	complemented
311	#872	C₂³	1	16	yes	complemented
312	C₄²×D₃	C₂³	1	8	yes	complemented
313	#870	C₂³	1	4	yes	complemented
314	#870	C₂³	1	4	yes	complemented
315	#869	C₂³	1	2	yes	complemented
316	#869	C₂³	1	2	yes	complemented
317	C₄×Dic₆	C₂³	1	4	yes	complemented
318	C₄×Dic₆	C₂³	1	4	yes	complemented
319	C₄×Dic₆	C₂³	1	4	yes	complemented
320	C₂×H(5,𝔽₂)	C₂×D₃	1	1	yes	characteristic
321	C₂²×#41	—	3	4	no	—
322	C₂³×D₄	—	3	2	no	—
323	C₂³×D₄	—	3	2	no	—
324	#559	—	3	4	no	—
325	#559	—	3	4	no	—
326	#556	—	3	2	no	—
327	#555	—	3	2	no	—
328	#555	—	3	8	no	—
329	#554	—	3	2	no	—
330	#554	—	3	4	no	—
331	#554	—	3	8	no	—
332	#553	—	3	4	no	—
333	#553	—	3	8	no	—
334	#553	—	3	16	no	—
335	#553	—	3	8	no	—
336	#553	—	3	8	no	—
337	#552	—	3	4	no	—
338	#552	—	3	4	no	—
339	#551	—	3	8	no	—
340	#551	—	3	16	no	—
341	#551	—	3	16	no	—
342	#551	—	3	16	no	—
343	#550	—	3	4	no	—
344	#550	—	3	4	no	—
345	D₄×Q₈	—	3	4	no	—
346	#548	—	3	8	no	—
347	#547	—	3	2	no	—
348	#547	—	3	8	no	—
349	#546	—	3	8	no	—
350	#546	—	3	8	no	—
351	#546	—	3	4	no	—
352	#546	—	3	16	no	—
353	#546	—	3	8	no	—
354	#546	—	3	8	no	—
355	#546	—	3	8	no	—
356	#546	—	3	16	no	—
357	#546	—	3	8	no	—
358	#546	—	3	16	no	—
359	#546	—	3	16	no	—
360	D₄²	—	3	8	no	—
361	D₄²	—	3	8	no	—
362	D₄²	—	3	4	no	—
363	D₄²	—	3	8	no	—
364	D₄²	—	3	4	no	—
365	#544	—	3	2	no	—
366	#543	—	3	4	no	—
367	#542	—	3	8	no	—
368	#540	—	3	8	no	—
369	#540	—	3	8	no	—
370	#539	—	3	8	no	—
371	#538	—	3	16	no	—
372	#538	—	3	16	no	—
373	#538	—	3	8	no	—
374	#535	—	3	4	no	—
375	#534	—	3	8	no	—
376	#533	—	3	2	no	—
377	#532	—	3	8	no	—
378	#532	—	3	4	no	—
379	#532	—	3	4	no	—
380	C₂×#127	—	3	1	no	—
381	#529	—	3	8	no	—
382	#529	—	3	8	no	—
383	#529	—	3	4	no	—
384	#529	—	3	8	no	—
385	C₂×#124	—	3	4	no	—
386	#525	—	3	4	no	—
387	#525	—	3	8	no	—
388	#525	—	3	16	no	—
389	#525	—	3	16	no	—
390	C₂×#123	—	3	8	no	—
391	C₂×C₂²⋊Q₈	—	3	4	no	—
392	C₂×#121	—	3	2	no	—
393	C₂×#121	—	3	4	no	—
394	C₂×#121	—	3	2	no	—
395	C₂×#121	—	3	8	no	—
396	C₂×#120	—	3	8	no	—
397	C₂×#120	—	3	4	no	—
398	#520	C₂×D₃	1	2	yes	complemented
399	#520	C₂×D₃	1	4	yes	complemented
400	#518	—	3	2	no	—
401	#518	—	3	8	no	—
402	#518	—	3	8	no	—
403	#518	—	3	4	no	—
404	#518	—	3	8	no	—
405	#518	C₂×D₃	1	1	yes	characteristic
406	#518	C₂×D₃	1	4	yes	complemented
407	#518	C₂×D₃	1	4	yes	complemented
408	C₄×#41	—	3	4	no	—
409	C₄×#41	C₂×D₃	1	2	yes	complemented
410	C₄×#41	C₂×D₃	1	4	yes	complemented
411	C₂×C₄×D₄	—	3	8	no	—
412	C₂×C₄×D₄	—	3	8	no	—
413	C₂×C₄×D₄	—	3	1	no	—
414	C₂×C₄×D₄	—	3	4	no	—
415	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
416	C₂×C₄×D₄	C₂×D₃	1	4	yes	complemented
417	C₂×C₄×D₄	C₂×D₃	1	4	yes	complemented
418	C₂×#117	—	3	4	no	—
419	C₂²×C₂²⋊C₄	—	3	8	no	—
420	C₂⁴×C₃	C₂⁴	1	4	yes	—
421	C₂⁴×C₃	C₂⁴	1	2	yes	—
422	C₂³×D₃	—	2	16	no	—
423	C₂³×D₃	—	4	8	no	—
424	C₂³×D₃	—	8	4	no	—
425	C₂³×D₃	C₂⁴	1	2	yes	—
426	C₂³×D₃	C₂⁴	1	8	yes	—
427	C₂³×D₃	C₂⁴	1	4	yes	—
428	C₂³×D₃	C₂⁴	1	8	yes	—
429	C₃×#41	—	2	16	no	—
430	C₃×#41	—	2	8	no	—
431	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
432	C₂×C₃×D₄	—	2	16	no	—
433	C₂×C₃×D₄	—	2	16	no	—
434	C₂×C₃×D₄	#41	1	8	yes	complemented
435	C₂×C₃×D₄	C₂⁴	1	4	yes	—
436	C₂×C₃×D₄	C₂⁴	1	8	yes	—
437	C₂×C₃×D₄	C₂⁴	1	2	yes	—
438	C₂×C₃×D₄	C₂⁴	1	4	yes	—
439	C₂²×C₃×C₄	—	4	4	no	—
440	C₂²×C₃×C₄	—	4	8	no	—
441	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
442	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
443	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
444	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
445	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
446	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
447	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
448	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
449	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
450	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
451	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
452	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
453	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
454	C₂×#67	—	2	16	no	—
455	C₂×#67	—	4	16	no	—
456	C₂×#67	—	8	8	no	—
457	C₂×#67	C₂⁴	1	16	yes	—
458	C₂×#67	C₂⁴	1	8	yes	—
459	C₂×#67	C₂⁴	1	16	yes	—
460	C₂×#67	C₂⁴	1	8	yes	—
461	C₂×#67	C₂⁴	1	16	yes	—
462	C₂²×Dic₃	C₂⁴	1	2	yes	—
463	C₂²×Dic₃	C₂⁴	1	8	yes	—
464	C₂²×Dic₃	C₂⁴	1	8	yes	—
465	D₃×D₄	—	2	32	no	—
466	D₃×D₄	—	2	32	no	—
467	#235	—	2	16	no	—
468	#235	—	4	16	no	—
469	#235	—	4	32	no	—
470	#235	—	8	8	no	—
471	C₂×D₁₂	—	2	8	no	—
472	C₂×D₁₂	—	2	4	no	—
473	C₂×D₁₂	—	2	16	no	—
474	C₂×D₁₂	—	4	8	no	—
475	C₂×D₁₂	—	4	4	no	—
476	C₂×D₁₂	—	4	16	no	—
477	C₂×D₁₂	—	4	8	no	—
478	C₂×D₁₂	—	8	2	no	—
479	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
480	C₂×D₁₂	C₂⁴	1	2	yes	—
481	C₂×D₁₂	C₂⁴	1	4	yes	—
482	C₂×D₁₂	C₂⁴	1	8	yes	—
483	C₂×D₁₂	C₂⁴	1	8	yes	—
484	C₂×D₁₂	C₂⁴	1	8	yes	—
485	C₂×D₁₂	C₂⁴	1	4	yes	—
486	C₂×D₁₂	C₂⁴	1	8	yes	—
487	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
488	C₂×C₄×D₃	—	2	8	no	—
489	C₂×C₄×D₃	—	4	16	no	—
490	C₂×C₄×D₃	—	8	8	no	—
491	C₂×C₄×D₃	C₂⁴	1	4	yes	—
492	C₂×C₄×D₃	C₂⁴	1	8	yes	—
493	C₂×C₄×D₃	C₂⁴	1	4	yes	—
494	C₂×C₄×D₃	C₂⁴	1	8	yes	—
495	C₂×C₄×D₃	C₂⁴	1	16	yes	—
496	C₂×C₄×D₃	C₂⁴	1	16	yes	—
497	C₂×Dic₆	—	4	8	no	—
498	C₂×Dic₆	C₂⁴	1	4	yes	—
499	C₂×Dic₆	C₂⁴	1	4	yes	—
500	C₂×Dic₆	C₂⁴	1	8	yes	—
501	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
502	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
503	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
504	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
505	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
506	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
507	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
508	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
510	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
511	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
512	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
513	C₃×C₄²	C₂⁴	1	2	yes	—
514	C₃×C₄²	C₂⁴	1	2	yes	—
515	C₃×C₄²	C₂⁴	1	4	yes	—
516	C₃×C₄²	C₂⁴	1	4	yes	—
517	C₃×C₄²	C₂⁴	1	8	yes	—
518	C₃×C₄²	C₂⁴	1	4	yes	—
519	#217	C₂⁴	1	8	yes	—
520	#217	C₂⁴	1	16	yes	—
521	#217	C₂⁴	1	8	yes	—
522	#217	C₂⁴	1	8	yes	—
523	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
524	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
525	(C₂×D₃)⋊C₄	C₂⁴	1	16	yes	—
526	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
527	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
528	(C₂×D₃)⋊C₄	C₂⁴	1	16	yes	—
529	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
530	(C₂×D₃)⋊C₄	C₂⁴	1	16	yes	—
531	(C₂×D₃)⋊C₄	C₂⁴	1	16	yes	—
532	(C₂×D₃)⋊C₄	C₂⁴	1	16	yes	—
533	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
534	C₄⋊Dic₃	C₂⁴	1	2	yes	—
535	C₄⋊Dic₃	C₂⁴	1	4	yes	—
536	C₄⋊Dic₃	C₂⁴	1	4	yes	—
537	C₄⋊Dic₃	C₂⁴	1	4	yes	—
538	C₄⋊Dic₃	C₂⁴	1	4	yes	—
539	C₄⋊Dic₃	C₂⁴	1	2	yes	—
540	C₄⋊Dic₃	C₂⁴	1	8	yes	—
541	Dic₃⋊C₄	C₂⁴	1	8	yes	—
542	Dic₃⋊C₄	C₂⁴	1	8	yes	—
543	Dic₃⋊C₄	C₂⁴	1	8	yes	—
544	Dic₃⋊C₄	C₂⁴	1	8	yes	—
545	Dic₃⋊C₄	C₂⁴	1	8	yes	—
546	Dic₃⋊C₄	C₂⁴	1	8	yes	—
547	Dic₃⋊C₄	C₂⁴	1	16	yes	—
548	C₄×Dic₃	C₂⁴	1	8	yes	—
549	C₄×Dic₃	C₂⁴	1	8	yes	—
550	C₄×Dic₃	C₂⁴	1	8	yes	—
551	C₂⁵	—	3	4	no	—
552	H(5,𝔽₂)	—	2	8	no	—
553	C₂×#41	—	3	4	no	—
554	C₂×#41	—	3	16	no	—
555	C₂×#41	—	3	8	no	—
556	C₂×#41	—	3	8	no	—
557	C₂×#41	—	12	16	no	—
558	C₂×#41	C₂²×D₃	1	2	yes	—
559	C₂×#41	C₂²×D₃	1	4	yes	—
560	C₂²×Q₈	—	3	4	no	—
561	C₂²×D₄	—	3	4	no	—
562	C₂²×D₄	—	3	8	no	—
563	C₂²×D₄	—	3	8	no	—
564	C₂²×D₄	—	3	8	no	—
565	C₂²×D₄	—	3	8	no	—
566	C₂²×D₄	—	3	4	no	—
567	C₂²×D₄	—	3	1	no	—
568	C₂²×D₄	—	3	2	no	—
569	C₂²×D₄	—	3	4	no	—
570	C₂²×D₄	—	3	8	no	—
571	C₂²×D₄	—	3	4	no	—
572	C₂²×D₄	—	3	2	no	—
573	C₂²×D₄	—	3	2	no	—
574	C₂²×D₄	—	6	16	no	—
575	C₂²×D₄	—	12	8	no	—
576	C₂²×D₄	C₂²×D₃	1	4	yes	—
577	C₂²×D₄	C₂²×D₃	1	4	yes	—
578	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
579	C₂³×C₄	—	3	2	no	—
580	C₂³×C₄	—	3	8	no	—
581	C₂³×C₄	—	3	8	no	—
582	C₂³×C₄	C₂²×D₃	1	2	yes	—
583	C₂³×C₄	C₂²×D₃	1	4	yes	complemented
584	C₄⋊Q₈	—	3	8	no	—
585	C₄⋊Q₈	—	3	2	no	—
586	C₄⋊Q₈	—	3	2	no	—
587	#127	—	3	8	no	—
588	#127	—	3	4	no	—
589	#127	—	3	4	no	—
590	#126	—	3	8	no	—
591	#126	—	3	16	no	—
592	#126	—	3	8	no	—
593	#126	—	3	8	no	—
594	#126	—	3	16	no	—
595	#125	—	3	8	no	—
596	#125	—	3	8	no	—
597	#125	—	3	4	no	—
598	#125	—	3	4	no	—
599	#124	—	3	8	no	—
600	#124	—	3	8	no	—
601	#124	—	3	16	no	—
602	#124	—	3	4	no	—
603	#124	—	3	8	no	—
604	#124	—	3	16	no	—
605	#124	—	3	8	no	—
606	#123	—	3	8	no	—
607	#123	—	3	16	no	—
608	#123	—	3	16	no	—
609	#123	—	3	8	no	—
610	#123	—	3	8	no	—
611	#123	—	3	16	no	—
612	#123	—	3	16	no	—
613	#123	—	3	16	no	—
614	#123	—	3	16	no	—
615	#123	—	3	8	no	—
616	#123	—	3	16	no	—
617	C₂²⋊Q₈	—	3	4	no	—
618	C₂²⋊Q₈	—	3	4	no	—
619	C₂²⋊Q₈	—	3	4	no	—
620	C₂²⋊Q₈	—	3	8	no	—
621	C₂²⋊Q₈	—	3	8	no	—
622	C₂²⋊Q₈	—	3	8	no	—
623	C₂²⋊Q₈	—	3	4	no	—
624	C₂²⋊Q₈	—	3	4	no	—
625	C₂²⋊Q₈	—	3	8	no	—
626	C₂²⋊Q₈	—	3	16	no	—
627	C₂²⋊Q₈	—	3	16	no	—
628	C₂²⋊Q₈	—	3	16	no	—
629	#121	—	3	4	no	—
630	#121	—	3	16	no	—
631	#121	—	3	16	no	—
632	#121	—	3	4	no	—
633	#121	—	3	4	no	—
634	#121	—	3	8	no	—
635	#121	—	3	8	no	—
636	#121	—	3	8	no	—
637	#121	—	3	16	no	—
638	#121	—	3	8	no	—
639	#121	—	3	8	no	—
640	#121	—	3	8	no	—
641	#121	—	3	8	no	—
642	#121	—	3	8	no	—
643	#121	—	3	8	no	—
644	#121	—	3	16	no	—
645	#121	—	3	16	no	—
646	#121	—	3	16	no	—
647	#121	—	3	16	no	—
648	#120	—	3	16	no	—
649	#120	—	3	8	no	—
650	#120	—	3	16	no	—
651	#120	—	3	16	no	—
652	#120	—	3	16	no	—
653	#120	—	3	16	no	—
654	#120	—	3	16	no	—
655	C₄×Q₈	—	3	4	no	—
656	C₄×Q₈	—	3	4	no	—
657	C₄×Q₈	—	3	4	no	—
658	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
659	C₄×Q₈	C₂²×D₃	1	4	yes	complemented
660	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
661	C₄×D₄	—	3	8	no	—
662	C₄×D₄	—	3	8	no	—
663	C₄×D₄	—	3	16	no	—
664	C₄×D₄	—	3	16	no	—
665	C₄×D₄	—	3	8	no	—
666	C₄×D₄	—	3	8	no	—
667	C₄×D₄	—	3	16	no	—
668	C₄×D₄	—	3	8	no	—
669	C₄×D₄	—	3	8	no	—
670	C₄×D₄	—	3	8	no	—
671	C₄×D₄	—	3	16	no	—
672	C₄×D₄	—	3	16	no	—
673	C₄×D₄	—	3	4	no	—
674	C₄×D₄	—	3	2	no	—
675	C₄×D₄	—	3	8	no	—
676	C₄×D₄	—	3	8	no	—
677	C₄×D₄	—	3	16	no	—
678	C₄×D₄	—	3	4	no	—
679	C₄×D₄	—	3	2	no	—
680	C₄×D₄	—	3	8	no	—
681	C₄×D₄	—	3	8	no	—
682	C₄×D₄	C₂²×D₃	1	4	yes	—
683	C₄×D₄	C₂²×D₃	1	4	yes	—
684	C₄×D₄	C₂²×D₃	1	4	yes	—
685	C₄×D₄	C₂²×D₃	1	4	yes	—
686	C₄×D₄	C₂²×D₃	1	4	yes	—
687	C₄×D₄	C₂²×D₃	1	8	yes	—
688	C₄×D₄	C₂²×D₃	1	4	yes	—
689	C₄×D₄	C₂²×D₃	1	8	yes	complemented
690	C₄×D₄	C₂²×D₃	1	2	yes	complemented
691	C₄×D₄	C₂²×D₃	1	8	yes	complemented
692	C₄×D₄	C₂²×D₃	1	4	yes	complemented
693	C₄×D₄	C₂²×D₃	1	8	yes	complemented
694	C₄×D₄	C₂²×D₃	1	8	yes	complemented
695	C₄×D₄	C₂²×D₃	1	2	yes	complemented
696	#117	—	3	4	no	—
697	#117	—	3	4	no	—
698	#117	—	3	4	no	—
699	#117	—	3	4	no	—
700	#117	—	3	8	no	—
701	#117	—	3	8	no	—
702	#117	—	3	8	no	—
703	#117	—	3	16	no	—
704	#117	C₂²×D₃	1	2	yes	—
705	#117	C₂²×D₃	1	4	yes	complemented
706	#117	C₂²×D₃	1	8	yes	complemented
707	#117	C₂²×D₃	1	4	yes	complemented
708	C₂×C₄⋊C₄	—	3	1	no	—
709	C₂×C₄⋊C₄	—	3	4	no	—
710	C₂×C₄⋊C₄	—	3	8	no	—
711	C₂×C₄⋊C₄	—	3	4	no	—
712	C₂×C₄⋊C₄	—	3	4	no	—
713	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
714	C₂×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
715	C₂×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
716	C₂×C₂²⋊C₄	—	3	8	no	—
717	C₂×C₂²⋊C₄	—	3	8	no	—
718	C₂×C₂²⋊C₄	—	3	8	no	—
719	C₂×C₂²⋊C₄	—	3	2	no	—
720	C₂×C₂²⋊C₄	—	3	8	no	—
721	C₂×C₂²⋊C₄	—	3	4	no	—
722	C₂×C₂²⋊C₄	—	3	8	no	—
723	C₂×C₂²⋊C₄	—	3	8	no	—
724	C₂×C₂²⋊C₄	—	3	16	no	—
725	C₂×C₂²⋊C₄	—	3	16	no	—
726	C₂×C₂²⋊C₄	—	3	16	no	—
727	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
728	C₂×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
730	C₂×C₂²⋊C₄	C₂²×D₃	1	8	yes	complemented
731	C₂×C₄²	—	3	8	no	—
732	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
733	C₂×C₄²	C₂²×D₃	1	4	yes	complemented
734	C₂×C₄²	C₂²×D₃	1	4	yes	complemented
735	C₂³×C₃	—	2	8	no	—
736	C₂³×C₃	—	4	2	no	—
737	C₂³×C₃	—	4	2	no	—
738	C₂³×C₃	—	4	4	no	—
739	C₂³×C₃	—	4	4	no	—
740	C₂³×C₃	C₂×#41	1	8	yes	complemented
741	C₂³×C₃	C₂⁵	1	4	yes	—
742	C₂³×C₃	C₂⁵	1	1	yes	characteristic
743	C₂³×C₃	C₂⁵	1	4	yes	—
744	C₂²×D₃	—	2	4	no	—
745	C₂²×D₃	—	2	16	no	—
746	C₂²×D₃	—	2	8	no	—
747	C₂²×D₃	—	2	16	no	—
748	C₂²×D₃	—	2	16	no	—
749	C₂²×D₃	—	2	4	no	—
750	C₂²×D₃	—	4	8	no	—
751	C₂²×D₃	—	4	2	no	—
752	C₂²×D₃	—	4	4	no	—
753	C₂²×D₃	—	4	8	no	—
754	C₂²×D₃	—	4	4	no	—
755	C₂²×D₃	—	4	8	no	—
756	C₂²×D₃	—	8	32	no	—
757	C₂²×D₃	C₂⁵	1	2	yes	—
758	C₂²×D₃	C₂⁵	1	8	yes	—
759	C₂²×D₃	C₂⁵	1	2	yes	—
760	C₃×Q₈	—	2	4	no	—
761	C₃×D₄	—	2	8	no	—
762	C₃×D₄	—	2	16	no	—
763	C₃×D₄	—	2	4	no	—
764	C₃×D₄	C₂×#41	1	16	yes	complemented
765	C₂×C₃×C₄	—	2	8	no	—
766	C₂×C₃×C₄	—	2	8	no	—
767	C₂×C₃×C₄	—	2	8	no	—
768	C₂×C₃×C₄	—	2	2	no	—
769	C₂×C₃×C₄	—	2	8	no	—
770	C₂×C₃×C₄	—	4	4	no	—
771	C₂×C₃×C₄	—	4	4	no	—
772	C₂×C₃×C₄	—	4	2	no	—
773	C₂×C₃×C₄	—	4	4	no	—
774	C₂×C₃×C₄	—	4	1	no	—
775	C₂×C₃×C₄	—	4	8	no	—
776	C₂×C₃×C₄	—	4	4	no	—
777	C₂×C₃×C₄	C₂×#41	1	4	yes	complemented
778	C₂×C₃×C₄	C₂⁵	1	4	yes	—
779	C₂×C₃×C₄	C₂⁵	1	4	yes	—
780	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
781	C₂×C₃×C₄	C₂⁵	1	2	yes	—
782	C₂×C₃×C₄	C₂⁵	1	4	yes	—
783	C₂×C₃×C₄	C₂⁵	1	4	yes	—
784	C₂×C₃×C₄	C₂⁵	1	2	yes	—
785	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
786	#67	—	2	32	no	—
787	#67	—	2	16	no	—
788	#67	—	4	16	no	—
789	#67	—	4	16	no	—
790	#67	—	4	8	no	—
791	C₂×Dic₃	—	2	4	no	—
792	C₂×Dic₃	—	4	8	no	—
793	C₂×Dic₃	—	4	8	no	—
794	C₂×Dic₃	C₂⁵	1	4	yes	—
795	C₂×Dic₃	C₂⁵	1	8	yes	—
796	C₂×Dic₃	C₂⁵	1	8	yes	—
797	D₁₂	—	2	4	no	—
798	D₁₂	—	2	16	no	—
799	D₁₂	—	2	16	no	—
800	D₁₂	—	2	2	no	—
801	D₁₂	—	2	8	no	—
802	D₁₂	—	4	8	no	—
803	D₁₂	—	4	4	no	—
804	D₁₂	—	4	8	no	—
805	D₁₂	H(5,𝔽₂)	1	4	yes	complemented
806	C₄×D₃	—	2	16	no	—
807	C₄×D₃	—	2	8	no	—
808	C₄×D₃	—	2	8	no	—
809	C₄×D₃	—	4	16	no	—
810	C₄×D₃	—	4	8	no	—
811	C₄×D₃	—	4	16	no	—
812	Dic₆	—	2	8	no	—
813	Dic₆	—	4	8	no	—
814	Dic₆	—	4	4	no	—
815	C₂⁴	—	3	2	no	—
816	C₂⁴	—	3	8	no	—
817	C₂⁴	—	3	8	no	—
818	C₂⁴	—	3	4	no	—
819	C₂⁴	—	6	16	no	—
820	C₂⁴	—	12	8	no	—
821	C₂⁴	—	24	4	no	—
822	C₂⁴	C₂³×D₃	1	4	yes	—
823	C₂⁴	C₂³×D₃	1	2	yes	—
824	#41	—	2	16	no	—
825	#41	—	2	8	no	—
826	#41	—	6	16	no	—
827	#41	—	12	16	no	—
828	#41	—	12	32	no	—
829	#41	—	24	8	no	—
830	C₂×Q₈	—	3	4	no	—
831	C₂×Q₈	—	3	4	no	—
832	C₂×Q₈	—	3	8	no	—
833	C₂×Q₈	—	12	8	no	—
834	C₂×Q₈	C₂³×D₃	1	2	yes	—
835	C₂×D₄	—	2	16	no	—
836	C₂×D₄	—	2	16	no	—
837	C₂×D₄	—	3	16	no	—
838	C₂×D₄	—	3	8	no	—
839	C₂×D₄	—	3	8	no	—
840	C₂×D₄	—	3	16	no	—
841	C₂×D₄	—	3	16	no	—
842	C₂×D₄	—	3	1	no	—
843	C₂×D₄	—	3	8	no	—
844	C₂×D₄	—	3	8	no	—
845	C₂×D₄	—	3	2	no	—
846	C₂×D₄	—	3	1	no	—
847	C₂×D₄	—	3	4	no	—
848	C₂×D₄	—	3	8	no	—
849	C₂×D₄	—	3	8	no	—
850	C₂×D₄	—	3	4	no	—
851	C₂×D₄	—	6	4	no	—
852	C₂×D₄	—	6	16	no	—
853	C₂×D₄	—	6	16	no	—
854	C₂×D₄	—	6	32	no	—
855	C₂×D₄	—	6	32	no	—
856	C₂×D₄	—	6	8	no	—
857	C₂×D₄	—	12	4	no	—
858	C₂×D₄	—	12	8	no	—
859	C₂×D₄	—	12	16	no	—
860	C₂×D₄	—	12	8	no	—
861	C₂×D₄	—	12	16	no	—
862	C₂×D₄	—	24	2	no	—
863	C₂×D₄	—	24	8	no	—
864	C₂×D₄	#235	1	8	yes	complemented
865	C₂×D₄	C₂³×D₃	1	4	yes	—
866	C₂×D₄	C₂³×D₃	1	8	yes	—
867	C₂×D₄	C₂³×D₃	1	2	yes	—
868	C₂×D₄	C₂³×D₃	1	4	yes	—
869	C₂²×C₄	—	3	2	no	—
870	C₂²×C₄	—	3	8	no	—
871	C₂²×C₄	—	3	8	no	—
872	C₂²×C₄	—	3	4	no	—
873	C₂²×C₄	—	3	8	no	—
874	C₂²×C₄	—	3	4	no	—
875	C₂²×C₄	—	3	8	no	—
876	C₂²×C₄	—	3	16	no	—
877	C₂²×C₄	—	3	16	no	—
878	C₂²×C₄	—	4	4	no	—
879	C₂²×C₄	—	4	8	no	—
880	C₂²×C₄	—	6	8	no	—
881	C₂²×C₄	—	12	16	no	—
882	C₂²×C₄	—	24	8	no	—
883	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
884	C₂²×C₄	C₂³×D₃	1	4	yes	—
885	C₂²×C₄	C₂³×D₃	1	4	yes	—
886	C₂²×C₄	C₂³×D₃	1	4	yes	—
887	C₂²×C₄	C₂³×D₃	1	4	yes	—
888	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
889	C₂²×C₄	C₂³×D₃	1	4	yes	—
890	C₂²×C₄	C₂³×D₃	1	4	yes	—
891	C₂²×C₄	C₂³×D₃	1	2	yes	—
892	C₂²×C₄	C₂³×D₃	1	4	yes	—
893	C₂²×C₄	C₂³×D₃	1	4	yes	—
894	C₂²×C₄	C₂³×D₃	1	8	yes	—
895	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
896	C₄⋊C₄	—	3	4	no	—
897	C₄⋊C₄	—	3	8	no	—
898	C₄⋊C₄	—	3	4	no	—
899	C₄⋊C₄	—	3	4	no	—
900	C₄⋊C₄	—	3	8	no	—
901	C₄⋊C₄	—	3	8	no	—
902	C₄⋊C₄	—	3	2	no	—
903	C₄⋊C₄	—	3	16	no	—
904	C₄⋊C₄	—	3	2	no	—
905	C₄⋊C₄	—	3	8	no	—
906	C₄⋊C₄	—	3	8	no	—
907	C₄⋊C₄	—	3	8	no	—
908	C₄⋊C₄	—	3	8	no	—
909	C₄⋊C₄	—	3	4	no	—
910	C₄⋊C₄	C₂³×D₃	1	2	yes	—
911	C₄⋊C₄	C₂³×D₃	1	2	yes	—
912	C₄⋊C₄	C₂³×D₃	1	4	yes	—
913	C₄⋊C₄	C₂³×D₃	1	8	yes	—
914	C₄⋊C₄	C₂³×D₃	1	4	yes	—
915	C₄⋊C₄	C₂³×D₃	1	4	yes	—
916	C₂²⋊C₄	—	3	8	no	—
917	C₂²⋊C₄	—	3	16	no	—
918	C₂²⋊C₄	—	3	8	no	—
919	C₂²⋊C₄	—	3	8	no	—
920	C₂²⋊C₄	—	3	8	no	—
921	C₂²⋊C₄	—	3	8	no	—
922	C₂²⋊C₄	—	3	16	no	—
923	C₂²⋊C₄	—	3	16	no	—
924	C₂²⋊C₄	—	3	8	no	—
925	C₂²⋊C₄	—	3	8	no	—
926	C₂²⋊C₄	—	3	4	no	—
927	C₂²⋊C₄	—	3	16	no	—
928	C₂²⋊C₄	—	3	16	no	—
929	C₂²⋊C₄	—	3	4	no	—
930	C₂²⋊C₄	—	3	16	no	—
931	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
932	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
933	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
934	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
935	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
936	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
937	C₄²	—	3	8	no	—
938	C₄²	—	3	8	no	—
939	C₄²	—	3	8	no	—
940	C₄²	C₂³×D₃	1	4	yes	—
941	C₄²	C₂³×D₃	1	2	yes	—
942	C₄²	C₂³×D₃	1	2	yes	—
943	C₄²	C₂³×D₃	1	4	yes	—
944	C₄²	C₂³×D₃	1	8	yes	—
945	C₄²	C₂³×D₃	1	4	yes	—
946	C₂²×C₃	—	2	4	no	—
947	C₂²×C₃	—	2	1	no	—
948	C₂²×C₃	—	2	4	no	—
949	C₂²×C₃	—	2	1	no	—
950	C₂²×C₃	—	2	4	no	—
951	C₂²×C₃	—	2	4	no	—
952	C₂²×C₃	—	2	4	no	—
953	C₂²×C₃	—	4	8	no	—
954	C₂²×C₃	—	8	8	no	—
955	C₂²×C₃	C₂²×#41	1	2	yes	—
956	C₂²×C₃	C₂²×#41	1	8	yes	—
957	C₂²×C₃	C₂⁶	1	1	yes	characteristic
958	C₂×D₃	—	2	2	no	—
959	C₂×D₃	—	2	2	no	—
960	C₂×D₃	—	2	2	no	—
961	C₂×D₃	—	2	8	no	—
962	C₂×D₃	—	2	8	no	—
963	C₂×D₃	—	2	2	no	—
964	C₂×D₃	—	2	8	no	—
965	C₂×D₃	—	2	2	no	—
966	C₂×D₃	—	4	32	no	—
967	C₂×D₃	—	4	8	no	—
968	C₂×D₃	—	8	8	no	—
969	C₂×D₃	—	8	16	no	—
970	C₂×D₃	C₂×H(5,𝔽₂)	1	4	yes	—
971	C₃×C₄	—	2	4	no	—
972	C₃×C₄	—	2	4	no	—
973	C₃×C₄	—	2	4	no	—
974	C₃×C₄	—	2	1	no	—
975	C₃×C₄	—	2	2	no	—
976	C₃×C₄	—	2	4	no	—
977	C₃×C₄	C₂²×#41	1	4	yes	—
978	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
979	Dic₃	—	2	4	no	—
980	Dic₃	—	2	8	no	—
981	Dic₃	—	2	8	no	—
982	C₂³	—	2	8	no	—
983	C₂³	—	3	2	no	—
984	C₂³	—	3	2	no	—
985	C₂³	—	3	8	no	—
986	C₂³	—	4	2	no	—
987	C₂³	—	4	2	no	—
988	C₂³	—	4	4	no	—
989	C₂³	—	4	4	no	—
990	C₂³	—	6	16	no	—
991	C₂³	—	6	4	no	—
992	C₂³	—	6	4	no	—
993	C₂³	—	6	16	no	—
994	C₂³	—	6	16	no	—
995	C₂³	—	6	8	no	—
996	C₂³	—	12	8	no	—
997	C₂³	—	12	2	no	—
998	C₂³	—	12	8	no	—
999	C₂³	—	12	4	no	—
1000	C₂³	—	12	8	no	—
1001	C₂³	—	12	4	no	—
1002	C₂³	—	24	32	no	—
1003	C₂³	C₂×#235	1	8	yes	complemented
1004	C₂³	C₂⁴×D₃	1	4	yes	—
1005	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1006	C₂³	C₂⁴×D₃	1	4	yes	—
1007	Q₈	—	2	4	no	—
1008	Q₈	—	6	8	no	—
1009	Q₈	—	12	8	no	—
1010	Q₈	—	12	4	no	—
1011	D₄	—	2	16	no	—
1012	D₄	—	2	8	no	—
1013	D₄	—	2	4	no	—
1014	D₄	—	3	4	no	—
1015	D₄	—	6	4	no	—
1016	D₄	—	6	16	no	—
1017	D₄	—	6	16	no	—
1018	D₄	—	6	32	no	—
1019	D₄	—	6	16	no	—
1020	D₄	—	6	2	no	—
1021	D₄	—	6	8	no	—
1022	D₄	—	12	4	no	—
1023	D₄	—	12	8	no	—
1024	D₄	—	12	8	no	—
1025	D₄	—	12	16	no	—
1026	D₄	—	12	8	no	—
1027	D₄	—	12	16	no	—
1028	D₄	C₂×#235	1	16	yes	complemented
1029	C₂×C₄	—	2	8	no	—
1030	C₂×C₄	—	2	8	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	8	no	—
1033	C₂×C₄	—	2	8	no	—
1034	C₂×C₄	—	3	4	no	—
1035	C₂×C₄	—	3	8	no	—
1036	C₂×C₄	—	3	8	no	—
1037	C₂×C₄	—	4	4	no	—
1038	C₂×C₄	—	4	4	no	—
1039	C₂×C₄	—	4	2	no	—
1040	C₂×C₄	—	4	8	no	—
1041	C₂×C₄	—	4	4	no	—
1042	C₂×C₄	—	4	1	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	—	6	16	no	—
1045	C₂×C₄	—	6	4	no	—
1046	C₂×C₄	—	6	8	no	—
1047	C₂×C₄	—	6	8	no	—
1048	C₂×C₄	—	12	16	no	—
1049	C₂×C₄	—	12	8	no	—
1050	C₂×C₄	—	12	16	no	—
1051	C₂×C₄	—	12	8	no	—
1052	C₂×C₄	—	12	8	no	—
1053	C₂×C₄	C₂×#235	1	4	yes	complemented
1054	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1055	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1056	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1057	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1058	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1059	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1060	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1061	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1062	C₂×C₃	—	2	2	no	—
1063	C₂×C₃	—	2	8	no	—
1064	C₂×C₃	—	4	4	no	—
1065	C₂×C₃	C₂³×#41	1	1	yes	characteristic
1066	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1067	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1068	D₃	—	2	4	no	—
1069	D₃	—	4	8	no	—
1070	D₃	—	4	2	no	—
1071	C₂²	—	2	4	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	4	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	4	no	—
1076	C₂²	—	2	4	no	—
1077	C₂²	—	2	4	no	—
1078	C₂²	—	3	4	no	—
1079	C₂²	—	4	8	no	—
1080	C₂²	—	6	2	no	—
1081	C₂²	—	6	2	no	—
1082	C₂²	—	6	2	no	—
1083	C₂²	—	6	8	no	—
1084	C₂²	—	6	8	no	—
1085	C₂²	—	6	2	no	—
1086	C₂²	—	6	8	no	—
1087	C₂²	—	6	2	no	—
1088	C₂²	—	8	8	no	—
1089	C₂²	—	12	8	no	—
1090	C₂²	—	12	32	no	—
1091	C₂²	—	24	8	no	—
1092	C₂²	—	24	16	no	—
1093	C₂²	C₂²×#235	1	8	yes	—
1094	C₂²	C₂²×#235	1	2	yes	—
1095	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1096	C₄	—	2	4	no	—
1097	C₄	—	2	4	no	—
1098	C₄	—	2	1	no	—
1099	C₄	—	2	4	no	—
1100	C₄	—	2	4	no	—
1101	C₄	—	2	2	no	—
1102	C₄	—	6	4	no	—
1103	C₄	—	6	8	no	—
1104	C₄	—	6	8	no	—
1105	C₄	C₂²×#235	1	4	yes	—
1106	C₄	D₃×H(5,𝔽₂)	1	2	yes	—
1107	C₃	#62983	1	1	yes	characteristic, complemented, Sylow
1108	C₂	—	2	2	no	—
1109	C₂	—	2	8	no	—
1110	C₂	—	4	4	no	—
1111	C₂	—	6	4	no	—
1112	C₂	—	12	2	no	—
1113	C₂	—	12	8	no	—
1114	C₂	C₂³×#235	1	1	yes	characteristic
1115	C₂	C₂×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1116	C₂	#87574	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×C₄×H(5,𝔽₂)	C₂
hypercenter	C₄×H(5,𝔽₂)	D₃
hypocenter	C₃	#62983
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₄×H(5,𝔽₂)

Complements

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

N	H ≅ G/N	type
1. C₃×C₄×H(5,𝔽₂)	C₂	semidirect
2. #87284	C₂	semidirect
3. #85905	C₂	semidirect
4. #85903	C₂	semidirect
5. #85871	C₂	semidirect
6. #85868	C₂	semidirect
7. D₃×#518	C₂	semidirect
8. #85852	C₂	semidirect
9. #85848	C₂	semidirect
10. #85843	C₂	semidirect
11. #85840	C₂	semidirect
12. #85790	C₂	semidirect
13. #85787	C₂	semidirect
14. D₄×#235	C₂	semidirect
15. C₂×#5550	C₂	semidirect
16. C₂×D₄×D₁₂	C₂	semidirect
17. #85766	C₂	semidirect
21. C₂²×#235	C₂²	semidirect
22. C₂³×D₁₂	C₂²	semidirect
23. C₃×#520	C₂²	semidirect
24. C₃×#520	C₂²	semidirect
26. C₃×#518	C₂²	semidirect
27. C₃×#518	C₂²	semidirect
28. C₃×C₄×#41	C₂²	semidirect
29. C₃×C₄×#41	C₂²	semidirect
31. C₂×C₃×C₄×D₄	C₂²	semidirect
32. C₂×C₃×C₄×D₄	C₂²	semidirect
33. #5830	C₂²	semidirect
34. #5829	C₂²	semidirect
35. #5829	C₂²	semidirect
36. #5828	C₂²	semidirect
37. #5804	C₂²	semidirect
38. D₄×#67	C₂²	semidirect
39. D₄×#67	C₂²	semidirect
40. C₂×#937	C₂²	semidirect
42. #5791	C₂²	semidirect
43. C₂×#930	C₂²	semidirect
44. C₂×#930	C₂²	semidirect
45. C₂×#924	C₂²	semidirect
46. #5585	C₂²	semidirect
47. #5585	C₂²	semidirect
48. #5584	C₂²	semidirect
49. #5582	C₂²	semidirect
50. #5581	C₂²	semidirect
51. #5580	C₂²	semidirect
52. #5579	C₂²	semidirect
53. #5565	C₂²	semidirect
54. #5563	C₂²	semidirect
55. #5562	C₂²	semidirect
56. #5560	C₂²	semidirect
57. #5560	C₂²	semidirect
58. #5558	C₂²	semidirect
59. #5556	C₂²	semidirect
60. #5556	C₂²	semidirect
61. #5553	C₂²	semidirect
62. #5553	C₂²	semidirect
63. #5552	C₂²	semidirect
64. #5551	C₂²	semidirect
65. #5550	C₂²	semidirect
66. #5550	C₂²	semidirect
67. #5550	C₂²	semidirect
68. #5550	C₂²	semidirect
69. #5550	C₂²	semidirect
70. #5550	C₂²	semidirect
71. #5550	C₂²	semidirect
72. D₄×D₁₂	C₂²	semidirect
73. D₄×D₁₂	C₂²	semidirect
74. D₄×D₁₂	C₂²	semidirect
75. #5548	C₂²	semidirect
76. #5547	C₂²	semidirect
77. #5547	C₂²	semidirect
78. #5545	C₂²	semidirect
79. #5545	C₂²	semidirect
80. C₄×D₃×D₄	C₂²	semidirect
81. C₄×D₃×D₄	C₂²	semidirect
82. #5543	C₂²	semidirect
83. #5541	C₂²	semidirect
84. #5540	C₂²	semidirect
85. #5539	C₂²	semidirect
86. D₄×Dic₆	C₂²	semidirect
87. #5535	C₂²	semidirect
88. #5532	C₂²	semidirect
89. #5530	C₂²	semidirect
90. #5528	C₂²	semidirect
91. #5527	C₂²	semidirect
92. #5527	C₂²	semidirect
93. #5521	C₂²	semidirect
94. D₃×#117	C₂²	semidirect
95. #5515	C₂²	semidirect
96. #5514	C₂²	semidirect
97. #5507	C₂²	semidirect
98. C₂×#895	C₂²	semidirect
99. C₂×#894	C₂²	semidirect
100. #5500	C₂²	semidirect
101. #5494	C₂²	semidirect
102. #5490	C₂²	semidirect
103. #5490	C₂²	semidirect
104. C₂×#884	C₂²	semidirect
105. C₂×#882	C₂²	semidirect
106. #5486	C₂²	semidirect
107. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
108. #5483	C₂²	semidirect
109. #5479	C₂²	semidirect
110. #5479	C₂²	semidirect
111. #5477	C₂²	semidirect
112. #5477	C₂²	semidirect
113. C₂×#875	C₂²	semidirect
114. C₂×#874	C₂²	semidirect
115. C₄×#235	C₂²	semidirect
116. C₂×C₄×D₁₂	C₂²	semidirect
117. C₂×C₄×D₁₂	C₂²	semidirect
118. #5470	C₂²	semidirect
134. C₄×H(5,𝔽₂)	D₃	semidirect
144. C₂³×C₃×C₄	C₂³	semidirect
146. C₂²×#67	C₂³	semidirect
147. C₂²×#67	C₂³	semidirect
153. C₂×#235	C₂³	semidirect
154. C₂×#235	C₂³	semidirect
155. C₂×#235	C₂³	semidirect
166. C₂²×C₄×D₃	C₂³	semidirect
167. C₂²×C₄×D₃	C₂³	semidirect
168. C₂²×Dic₆	C₂³	semidirect
169. C₃×C₄×Q₈	C₂³	semidirect
170. C₃×C₄×Q₈	C₂³	semidirect
171. C₃×C₄×Q₈	C₂³	semidirect
179. C₃×C₄×D₄	C₂³	semidirect
180. C₃×C₄×D₄	C₂³	semidirect
181. C₃×C₄×D₄	C₂³	semidirect
182. C₃×C₄×D₄	C₂³	semidirect
183. C₃×C₄×D₄	C₂³	semidirect
184. C₃×C₄×D₄	C₂³	semidirect
185. C₃×C₄×D₄	C₂³	semidirect
187. C₃×#117	C₂³	semidirect
188. C₃×#117	C₂³	semidirect
189. C₃×#117	C₂³	semidirect
191. C₂×C₃×C₄⋊C₄	C₂³	semidirect
192. C₂×C₃×C₄⋊C₄	C₂³	semidirect
195. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
196. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
198. C₂×C₃×C₄²	C₂³	semidirect
199. C₂×C₃×C₄²	C₂³	semidirect
200. #953	C₂³	semidirect
202. #947	C₂³	semidirect
203. #946	C₂³	semidirect
204. #946	C₂³	semidirect
205. #940	C₂³	semidirect
206. #939	C₂³	semidirect
207. #939	C₂³	semidirect
208. #938	C₂³	semidirect
209. #938	C₂³	semidirect
212. #937	C₂³	semidirect
213. #937	C₂³	semidirect
220. #930	C₂³	semidirect
221. #930	C₂³	semidirect
222. #930	C₂³	semidirect
223. #930	C₂³	semidirect
224. #930	C₂³	semidirect
225. #929	C₂³	semidirect
226. #929	C₂³	semidirect
227. #929	C₂³	semidirect
228. C₄×#67	C₂³	semidirect
229. C₄×#67	C₂³	semidirect
230. C₄×#67	C₂³	semidirect
231. C₄×#67	C₂³	semidirect
232. C₄×#67	C₂³	semidirect
233. C₄×#67	C₂³	semidirect
236. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
237. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
238. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
239. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
241. #926	C₂³	semidirect
243. C₂×C₄⋊Dic₃	C₂³	semidirect
247. #924	C₂³	semidirect
248. #924	C₂³	semidirect
249. #924	C₂³	semidirect
250. C₂×Dic₃⋊C₄	C₂³	semidirect
251. #898	C₂³	semidirect
252. #898	C₂³	semidirect
253. #896	C₂³	semidirect
254. #896	C₂³	semidirect
258. #894	C₂³	semidirect
259. #894	C₂³	semidirect
260. #894	C₂³	semidirect
261. #894	C₂³	semidirect
262. #893	C₂³	semidirect
263. #893	C₂³	semidirect
264. #892	C₂³	semidirect
265. #892	C₂³	semidirect
266. D₃×C₄⋊C₄	C₂³	semidirect
267. D₃×C₄⋊C₄	C₂³	semidirect
268. #890	C₂³	semidirect
269. #889	C₂³	semidirect
270. #888	C₂³	semidirect
271. #885	C₂³	semidirect
272. #885	C₂³	semidirect
274. #884	C₂³	semidirect
275. #884	C₂³	semidirect
276. #884	C₂³	semidirect
277. #884	C₂³	semidirect
278. #883	C₂³	semidirect
279. #883	C₂³	semidirect
282. #67⋊C₄	C₂³	semidirect
283. #67⋊C₄	C₂³	semidirect
286. D₃×C₂²⋊C₄	C₂³	semidirect
287. D₃×C₂²⋊C₄	C₂³	semidirect
288. #879	C₂³	semidirect
289. #878	C₂³	semidirect
290. #878	C₂³	semidirect
292. #876	C₂³	semidirect
293. #876	C₂³	semidirect
295. #875	C₂³	semidirect
296. #875	C₂³	semidirect
297. #875	C₂³	semidirect
304. C₄×D₁₂	C₂³	semidirect
305. C₄×D₁₂	C₂³	semidirect
306. C₄×D₁₂	C₂³	semidirect
307. C₄×D₁₂	C₂³	semidirect
308. C₄×D₁₂	C₂³	semidirect
309. #872	C₂³	semidirect
310. #872	C₂³	semidirect
311. #872	C₂³	semidirect
312. C₄²×D₃	C₂³	semidirect
313. #870	C₂³	semidirect
314. #870	C₂³	semidirect
315. #869	C₂³	semidirect
316. #869	C₂³	semidirect
317. C₄×Dic₆	C₂³	semidirect
318. C₄×Dic₆	C₂³	semidirect
319. C₄×Dic₆	C₂³	semidirect
398. #520	C₂×D₃	semidirect
399. #520	C₂×D₃	semidirect
406. #518	C₂×D₃	semidirect
407. #518	C₂×D₃	semidirect
409. C₄×#41	C₂×D₃	semidirect
410. C₄×#41	C₂×D₃	semidirect
416. C₂×C₄×D₄	C₂×D₃	semidirect
417. C₂×C₄×D₄	C₂×D₃	semidirect
434. C₂×C₃×D₄	#41	semidirect
583. C₂³×C₄	C₂²×D₃	semidirect
658. C₄×Q₈	C₂²×D₃	semidirect
659. C₄×Q₈	C₂²×D₃	semidirect
660. C₄×Q₈	C₂²×D₃	semidirect
689. C₄×D₄	C₂²×D₃	semidirect
690. C₄×D₄	C₂²×D₃	semidirect
691. C₄×D₄	C₂²×D₃	semidirect
692. C₄×D₄	C₂²×D₃	semidirect
693. C₄×D₄	C₂²×D₃	semidirect
694. C₄×D₄	C₂²×D₃	semidirect
695. C₄×D₄	C₂²×D₃	semidirect
705. #117	C₂²×D₃	semidirect
706. #117	C₂²×D₃	semidirect
707. #117	C₂²×D₃	semidirect
714. C₂×C₄⋊C₄	C₂²×D₃	semidirect
715. C₂×C₄⋊C₄	C₂²×D₃	semidirect
729. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
730. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
733. C₂×C₄²	C₂²×D₃	semidirect
734. C₂×C₄²	C₂²×D₃	semidirect
740. C₂³×C₃	C₂×#41	semidirect
764. C₃×D₄	C₂×#41	semidirect
777. C₂×C₃×C₄	C₂×#41	semidirect
805. D₁₂	H(5,𝔽₂)	semidirect
864. C₂×D₄	#235	semidirect
1003. C₂³	C₂×#235	semidirect
1028. D₄	C₂×#235	semidirect
1053. C₂×C₄	C₂×#235	semidirect
1107. C₃	#62983	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₄×H(5,𝔽₂)	2
#87284	2
#85905	2
#85903	2
#85871	2
#85868	2
D₃×#518	2
#85852	2
#85848	2
#85843	2
#85840	2
#85790	2
#85787	2
D₄×#235	2
C₂×#5550	2
C₂×D₄×D₁₂	2
#85766	2
#62983	3