Subgroups — #33994016

Order 18688.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623978	C₂	1	4	yes	maximal, complemented
2	#22623961	C₂	1	4	yes	maximal, complemented
3	#22623877	C₂	1	4	yes	maximal, complemented
4	#22623869	C₂	1	4	yes	maximal, complemented
5	#22623782	C₂	1	2	yes	maximal, complemented
6	#22623769	C₂	1	4	yes	maximal, complemented
7	#22623733	C₂	1	1	yes	maximal, characteristic, complemented
8	#22623694	C₂	1	1	yes	maximal, characteristic, complemented
9	#22623641	C₂	1	1	yes	maximal, characteristic, complemented
10	#22623638	C₂	1	1	yes	maximal, characteristic, complemented
11	#22623617	C₂	1	4	yes	maximal, complemented
12	#22623565	C₂	1	2	yes	maximal, complemented
13	#22623539	C₂	1	4	yes	maximal, complemented
14	#22623537	C₂	1	4	yes	maximal, complemented
15	#22623487	C₂	1	4	yes	maximal, complemented
16	#22623417	C₂	1	4	yes	maximal, complemented
17	#22623353	C₂	1	1	yes	maximal, characteristic, complemented
18	#22623338	C₂	1	4	yes	maximal, complemented
19	#22623224	C₂	1	2	yes	maximal, complemented
20	#525×D₇₃	C₂	1	4	yes	maximal, complemented
21	C₄×#14556637	C₂	1	2	yes	maximal, complemented
22	C₂×C₄×D₄×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14556637	C₂²	1	2	yes	—
25	C₂×#41×D₇₃	C₂²	1	4	yes	complemented
26	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₇₃	C₂²	1	2	yes	complemented
28	#17989323	C₂²	1	4	yes	complemented
29	#17989319	C₂²	1	4	yes	complemented
30	#17989306	C₂²	1	4	yes	complemented
31	#17989301	C₂²	1	4	yes	complemented
32	#17989298	C₂²	1	4	yes	complemented
33	#17989298	C₂²	1	4	yes	complemented
34	#17989295	C₂²	1	4	yes	complemented
35	#17989293	C₂²	1	4	yes	complemented
36	#17989293	C₂²	1	4	yes	complemented
37	#17989290	C₂²	1	4	yes	complemented
38	#17989289	C₂²	1	4	yes	complemented
39	#17989288	C₂²	1	8	yes	complemented
40	#17989284	C₂²	1	4	yes	complemented
41	#17989284	C₂²	1	4	yes	complemented
42	#17989284	C₂²	1	8	yes	complemented
43	#17989282	C₂²	1	8	yes	complemented
44	#17989275	C₂²	1	4	yes	complemented
45	#17989273	C₂²	1	8	yes	complemented
46	#17989271	C₂²	1	4	yes	complemented
47	#17989267	C₂²	1	8	yes	complemented
48	#17989267	C₂²	1	8	yes	complemented
49	#17989265	C₂²	1	8	yes	complemented
50	#17989262	C₂²	1	8	yes	complemented
51	#17989262	C₂²	1	8	yes	complemented
52	#17989260	C₂²	1	8	yes	complemented
53	#17989257	C₂²	1	4	yes	complemented
54	#17989252	C₂²	1	4	yes	complemented
55	#17989245	C₂²	1	8	yes	complemented
56	#17989240	C₂²	1	4	yes	complemented
57	#17989239	C₂²	1	4	yes	complemented
58	#17989237	C₂²	1	4	yes	complemented
59	#17989237	C₂²	1	4	yes	complemented
60	#17989234	C₂²	1	4	yes	complemented
61	#17989234	C₂²	1	4	yes	complemented
62	#17989234	C₂²	1	8	yes	complemented
63	#17989234	C₂²	1	4	yes	complemented
64	#17989230	C₂²	1	4	yes	complemented
65	#17989230	C₂²	1	4	yes	complemented
66	#17989230	C₂²	1	8	yes	complemented
67	#17989229	C₂²	1	8	yes	complemented
68	#17989228	C₂²	1	4	yes	complemented
69	#17989226	C₂²	1	8	yes	complemented
70	#17989226	C₂²	1	8	yes	complemented
71	#17989222	C₂²	1	4	yes	complemented
72	#17989222	C₂²	1	4	yes	complemented
73	#17989221	C₂²	1	4	yes	complemented
74	#17989221	C₂²	1	4	yes	complemented
75	#17989221	C₂²	1	4	yes	complemented
76	#17989218	C₂²	1	1	yes	characteristic, complemented
77	#17989212	C₂²	1	4	yes	complemented
78	#17989202	C₂²	1	4	yes	complemented
79	#17989188	C₂²	1	4	yes	complemented
80	#17989186	C₂²	1	4	yes	complemented
81	#17989183	C₂²	1	8	yes	complemented
82	#17989182	C₂²	1	4	yes	complemented
83	#17989180	C₂²	1	8	yes	complemented
84	#17989175	C₂²	1	4	yes	complemented
85	#17989173	C₂²	1	8	yes	complemented
86	#17989172	C₂²	1	8	yes	complemented
87	#17989169	C₂²	1	8	yes	complemented
88	#17989168	C₂²	1	1	yes	characteristic, complemented
89	#17989154	C₂²	1	2	yes	complemented
90	#17989147	C₂²	1	8	yes	complemented
91	#17989145	C₂²	1	4	yes	complemented
92	#17989141	C₂²	1	2	yes	complemented
93	#17989141	C₂²	1	2	yes	complemented
94	#17989140	C₂²	1	2	yes	complemented
95	#17989134	C₂²	1	4	yes	complemented
96	#17989134	C₂²	1	2	yes	complemented
97	#17989134	C₂²	1	2	yes	complemented
98	#17989133	C₂²	1	2	yes	complemented
99	#17989124	C₂²	1	2	yes	complemented
100	#17989124	C₂²	1	2	yes	complemented
101	#17989119	C₂²	1	4	yes	complemented
102	#17989119	C₂²	1	2	yes	complemented
103	#17989119	C₂²	1	2	yes	complemented
104	#17989119	C₂²	1	8	yes	complemented
105	#17989117	C₂²	1	4	yes	complemented
106	#17989117	C₂²	1	4	yes	complemented
107	#17989115	C₂²	1	4	yes	complemented
108	#17989115	C₂²	1	4	yes	complemented
109	#17989115	C₂²	1	8	yes	complemented
110	#17989100	C₂²	1	4	yes	complemented
111	#17989100	C₂²	1	4	yes	complemented
112	#17989099	C₂²	1	2	yes	complemented
113	#17989099	C₂²	1	4	yes	complemented
114	#17989098	C₂²	1	4	yes	complemented
115	#17989097	C₂²	1	4	yes	complemented
116	#17989097	C₂²	1	4	yes	complemented
117	#17989096	C₂²	1	4	yes	complemented
118	#17989096	C₂²	1	4	yes	complemented
119	#17989096	C₂²	1	8	yes	complemented
120	#17989096	C₂²	1	8	yes	complemented
121	#17989095	C₂²	1	8	yes	complemented
122	#17989094	C₂²	1	2	yes	complemented
123	#17989094	C₂²	1	4	yes	complemented
124	#17989094	C₂²	1	8	yes	complemented
125	#17989093	C₂²	1	8	yes	complemented
126	#123×D₇₃	C₂²	1	8	yes	complemented
127	C₂²⋊Q₈×D₇₃	C₂²	1	4	yes	complemented
128	C₂²⋊Q₈×D₇₃	C₂²	1	4	yes	complemented
129	#121×D₇₃	C₂²	1	4	yes	complemented
130	#121×D₇₃	C₂²	1	4	yes	complemented
131	#120×D₇₃	C₂²	1	8	yes	complemented
132	#17989070	C₂²	1	2	yes	complemented
133	#17989069	C₂²	1	4	yes	complemented
134	#17989067	C₂²	1	2	yes	complemented
135	#17989067	C₂²	1	4	yes	complemented
136	#17989061	C₂²	1	2	yes	—
137	#17989061	C₂²	1	4	yes	complemented
138	#17989059	C₂²	1	8	yes	complemented
139	#17989059	C₂²	1	4	yes	complemented
140	C₄×#11924029	C₂²	1	4	yes	complemented
141	C₄×#11924028	C₂²	1	2	yes	complemented
142	C₄×#11924028	C₂²	1	4	yes	complemented
143	C₄×#11924028	C₂²	1	4	yes	complemented
144	C₄×#11924028	C₂²	1	4	yes	complemented
145	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
146	C₂×C₄×D₂₉₂	C₂²	1	4	yes	complemented
147	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
148	C₂×#14556553	C₂²	1	1	yes	characteristic
149	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
150	C₂×#14556551	C₂²	1	2	yes	complemented
151	C₄×D₄×D₇₃	C₂²	1	4	yes	complemented
152	C₄×D₄×D₇₃	C₂²	1	4	yes	complemented
153	C₄×D₄×D₇₃	C₂²	1	4	yes	complemented
154	C₄×D₄×D₇₃	C₂²	1	4	yes	complemented
155	C₄×D₄×D₇₃	C₂²	1	8	yes	complemented
156	C₄×D₄×D₇₃	C₂²	1	8	yes	complemented
157	C₄×D₄×D₇₃	C₂²	1	4	yes	complemented
158	#117×D₇₃	C₂²	1	4	yes	complemented
159	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
160	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
161	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic, complemented
162	#544×C₇₃	C₂²	1	1	yes	characteristic, complemented
163	#542×C₇₃	C₂²	1	4	yes	complemented
164	#540×C₇₃	C₂²	1	4	yes	complemented
165	#538×C₇₃	C₂²	1	4	yes	complemented
166	#537×C₇₃	C₂²	1	1	yes	characteristic, complemented
167	#535×C₇₃	C₂²	1	2	yes	complemented
168	#532×C₇₃	C₂²	1	4	yes	complemented
169	#529×C₇₃	C₂²	1	4	yes	complemented
170	#525×C₇₃	C₂²	1	4	yes	complemented
171	C₄×#41×C₇₃	C₂²	1	2	yes	complemented
172	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₇₃	C₂³	1	2	yes	—
174	#14556637	—	2	16	no	—
175	C₂×#11924029	C₂³	1	4	yes	—
176	C₂×#11924029	C₂³	1	4	yes	—
177	C₂×#11924028	C₂³	1	2	yes	—
178	C₂×#11924028	C₂³	1	4	yes	—
179	C₂×#11924028	C₂³	1	4	yes	—
180	C₂×#11924028	C₂³	1	4	yes	—
181	C₂×#11924028	C₂³	1	4	yes	complemented
182	C₂×#11924027	C₂³	1	4	yes	—
183	C₂×#11924027	C₂³	1	8	yes	complemented
184	#41×D₇₃	—	4	16	no	—
185	C₂×Q₈×D₇₃	C₂³	1	4	yes	complemented
186	C₂²×D₂₉₂	C₂³	1	4	yes	—
187	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
189	C₂×D₄×D₇₃	—	2	8	no	—
190	C₂×D₄×D₇₃	C₂³	1	8	yes	—
191	C₂×D₄×D₇₃	C₂³	1	4	yes	—
192	C₂×D₄×D₇₃	C₂³	1	4	yes	—
193	C₂×D₄×D₇₃	C₂³	1	4	yes	—
194	C₂×D₄×D₇₃	C₂³	1	8	yes	—
195	C₂×D₄×D₇₃	C₂³	1	8	yes	—
196	C₂×D₄×D₇₃	C₂³	1	4	yes	complemented
197	C₂³×Dic₇₃	C₂³	1	2	yes	—
198	C₂²×C₄×D₇₃	—	4	8	no	—
199	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₇₃	C₂³	1	4	yes	—
201	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
203	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
204	C₂²×C₄×D₇₃	C₂³	1	4	yes	—
205	C₂²×C₄×D₇₃	C₂³	1	4	yes	—
206	C₂²×C₄×D₇₃	C₂³	1	4	yes	—
207	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
208	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₇₃	C₂³	1	8	yes	complemented
210	#14556590	C₂³	1	2	yes	complemented
211	#14556590	C₂³	1	2	yes	complemented
212	#14556590	C₂³	1	4	yes	complemented
213	#14556589	C₂³	1	2	yes	complemented
214	#14556587	C₂³	1	4	yes	—
215	#14556587	C₂³	1	2	yes	complemented
216	#14556586	C₂³	1	4	yes	complemented
217	#14556586	C₂³	1	4	yes	complemented
218	#14556586	C₂³	1	8	yes	complemented
219	#14556584	C₂³	1	4	yes	complemented
220	#14556584	C₂³	1	8	yes	complemented
221	#14556584	C₂³	1	8	yes	complemented
222	#14556584	C₂³	1	8	yes	complemented
223	#14556584	C₂³	1	8	yes	complemented
224	#14556584	C₂³	1	4	yes	complemented
225	#14556582	C₂³	1	2	yes	complemented
226	#14556582	C₂³	1	2	yes	complemented
227	#14556582	C₂³	1	8	yes	complemented
228	#14556582	C₂³	1	4	yes	complemented
229	#14556581	C₂³	1	4	yes	complemented
230	#14556581	C₂³	1	4	yes	complemented
231	#14556581	C₂³	1	8	yes	complemented
232	#14556580	C₂³	1	2	yes	complemented
233	#14556578	C₂³	1	4	yes	—
234	#14556578	C₂³	1	2	yes	complemented
235	#14556578	C₂³	1	8	yes	complemented
236	#14556577	C₂³	1	4	yes	complemented
237	#14556577	C₂³	1	8	yes	complemented
238	#14556577	C₂³	1	4	yes	complemented
239	#14556577	C₂³	1	8	yes	complemented
240	#14556576	C₂³	1	4	yes	—
241	#14556576	C₂³	1	4	yes	—
242	#14556576	C₂³	1	8	yes	—
243	#14556576	C₂³	1	8	yes	complemented
244	#14556576	C₂³	1	8	yes	complemented
245	#14556575	C₂³	1	4	yes	—
246	#14556575	C₂³	1	8	yes	complemented
247	#14556574	C₂³	1	8	yes	complemented
248	#14556573	C₂³	1	8	yes	—
249	#14556573	C₂³	1	8	yes	—
250	#14556573	C₂³	1	8	yes	—
251	#14556573	C₂³	1	4	yes	—
252	#14556573	C₂³	1	4	yes	—
253	#14556573	C₂³	1	8	yes	complemented
254	#14556573	C₂³	1	8	yes	complemented
255	#14556573	C₂³	1	8	yes	complemented
256	#14556572	C₂³	1	4	yes	—
257	#14556572	C₂³	1	8	yes	complemented
258	#14556572	C₂³	1	8	yes	complemented
259	#14556572	C₂³	1	8	yes	complemented
260	#14556571	C₂³	1	2	yes	—
261	#14556571	C₂³	1	2	yes	—
262	#14556571	C₂³	1	4	yes	—
263	#14556571	C₂³	1	4	yes	complemented
264	#14556571	C₂³	1	8	yes	complemented
265	#14556571	C₂³	1	4	yes	complemented
266	#14556570	C₂³	1	4	yes	—
267	#14556570	C₂³	1	4	yes	complemented
268	#14556569	C₂³	1	4	yes	—
269	#14556569	C₂³	1	4	yes	—
270	#14556569	C₂³	1	8	yes	complemented
271	#14556569	C₂³	1	8	yes	complemented
272	#14556569	C₂³	1	8	yes	complemented
273	#14556568	C₂³	1	4	yes	—
274	#14556568	C₂³	1	4	yes	—
275	#14556568	C₂³	1	8	yes	complemented
276	#14556568	C₂³	1	8	yes	complemented
277	#14556567	C₂³	1	2	yes	—
278	#14556567	C₂³	1	2	yes	—
279	#14556567	C₂³	1	4	yes	—
280	#14556567	C₂³	1	8	yes	complemented
281	#14556567	C₂³	1	8	yes	complemented
282	#14556567	C₂³	1	4	yes	complemented
283	#14556566	C₂³	1	2	yes	—
284	#14556566	C₂³	1	2	yes	—
285	#14556566	C₂³	1	4	yes	—
286	#14556566	C₂³	1	4	yes	complemented
287	#14556566	C₂³	1	4	yes	complemented
288	#14556565	C₂³	1	4	yes	—
289	#14556565	C₂³	1	4	yes	complemented
290	#14556564	C₂³	1	4	yes	—
291	#14556564	C₂³	1	4	yes	—
292	#14556564	C₂³	1	8	yes	—
293	#14556564	C₂³	1	8	yes	—
294	#14556564	C₂³	1	8	yes	complemented
295	#14556564	C₂³	1	8	yes	complemented
296	#14556563	C₂³	1	4	yes	—
297	#14556563	C₂³	1	4	yes	—
298	#14556563	C₂³	1	8	yes	complemented
299	#14556563	C₂³	1	8	yes	complemented
300	#14556562	C₂³	1	4	yes	—
301	#14556562	C₂³	1	2	yes	—
302	#14556562	C₂³	1	2	yes	—
303	#14556562	C₂³	1	8	yes	—
304	#14556562	C₂³	1	8	yes	—
305	#14556562	C₂³	1	4	yes	—
306	#14556562	C₂³	1	4	yes	—
307	#14556562	C₂³	1	8	yes	complemented
308	#14556562	C₂³	1	4	yes	complemented
309	#14556561	C₂³	1	8	yes	—
310	#14556561	C₂³	1	8	yes	—
311	#14556561	C₂³	1	4	yes	—
312	#14556561	C₂³	1	8	yes	complemented
313	#14556560	C₂³	1	8	yes	—
314	#14556559	C₂³	1	8	yes	—
315	#14556559	C₂³	1	8	yes	—
316	#14556559	C₂³	1	8	yes	—
317	#14556559	C₂³	1	8	yes	—
318	#14556559	C₂³	1	4	yes	—
319	#14556559	C₂³	1	8	yes	complemented
320	Q₈×Dic₇₃	C₂³	1	4	yes	complemented
321	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
322	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
323	C₄×Dic₁₄₆	C₂³	1	2	yes	complemented
324	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
325	C₄×Dic₁₄₆	C₂³	1	2	yes	complemented
326	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
327	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
328	C₄×D₂₉₂	C₂³	1	4	yes	—
329	C₄×D₂₉₂	C₂³	1	4	yes	—
330	C₄×D₂₉₂	C₂³	1	4	yes	—
331	C₄×D₂₉₂	C₂³	1	4	yes	—
332	C₄×D₂₉₂	C₂³	1	4	yes	—
333	C₄×D₂₉₂	C₂³	1	4	yes	—
334	C₄×D₂₉₂	C₂³	1	4	yes	—
335	C₄×D₂₉₂	C₂³	1	4	yes	—
336	C₄×D₂₉₂	C₂³	1	2	yes	complemented
337	C₄×D₂₉₂	C₂³	1	2	yes	complemented
338	C₄×D₂₉₂	C₂³	1	8	yes	complemented
339	C₄×D₂₉₂	C₂³	1	4	yes	complemented
340	C₄×D₂₉₂	C₂³	1	8	yes	complemented
341	D₄×Dic₇₃	C₂³	1	8	yes	—
342	D₄×Dic₇₃	C₂³	1	4	yes	—
343	D₄×Dic₇₃	C₂³	1	4	yes	—
344	D₄×Dic₇₃	C₂³	1	4	yes	complemented
345	D₄×Dic₇₃	C₂³	1	8	yes	complemented
346	#14556553	C₂³	1	4	yes	—
347	#14556553	C₂³	1	4	yes	—
348	#14556553	C₂³	1	4	yes	—
349	#14556553	C₂³	1	4	yes	—
350	#14556553	C₂³	1	8	yes	—
351	#14556553	C₂³	1	8	yes	complemented
352	#14556553	C₂³	1	8	yes	complemented
353	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
354	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
355	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
356	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
357	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
358	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
359	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
360	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
361	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	complemented
362	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	complemented
363	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	complemented
364	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
365	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	complemented
366	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
367	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
368	#14556551	C₂³	1	8	yes	—
369	#14556551	C₂³	1	8	yes	—
370	#14556551	C₂³	1	8	yes	—
371	#14556551	C₂³	1	8	yes	—
372	#14556551	C₂³	1	8	yes	complemented
373	#14556551	C₂³	1	8	yes	complemented
374	#14556551	C₂³	1	8	yes	complemented
375	#14556550	C₂³	1	2	yes	—
376	#14556550	C₂³	1	4	yes	complemented
377	#14556550	C₂³	1	4	yes	complemented
378	#14556550	C₂³	1	4	yes	complemented
379	#14556550	C₂³	1	4	yes	complemented
380	#14556549	C₂³	1	4	yes	—
381	#14556549	C₂³	1	4	yes	—
382	#14556549	C₂³	1	8	yes	complemented
383	#14556549	C₂³	1	4	yes	complemented
384	#14556548	C₂³	1	4	yes	—
385	#14556548	C₂³	1	4	yes	—
386	#14556548	C₂³	1	4	yes	complemented
387	#14556548	C₂³	1	4	yes	complemented
388	#14556548	C₂³	1	4	yes	complemented
389	#14556548	C₂³	1	8	yes	complemented
390	#14556547	C₂³	1	8	yes	complemented
391	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₇₃	C₂³	1	4	yes	complemented
393	C₂×#11924007	C₂³	1	2	yes	—
394	C₄⋊C₄×D₇₃	C₂³	1	4	yes	—
395	C₄⋊C₄×D₇₃	C₂³	1	4	yes	—
396	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
397	C₄⋊C₄×D₇₃	C₂³	1	4	yes	complemented
398	C₄⋊C₄×D₇₃	C₂³	1	4	yes	complemented
399	C₄⋊C₄×D₇₃	C₂³	1	4	yes	complemented
400	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
401	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
402	C₂×#11924005	C₂³	1	2	yes	—
403	C₂×#11924005	C₂³	1	2	yes	—
404	C₂×#11924005	C₂³	1	8	yes	complemented
405	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	—
406	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	—
407	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	—
408	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	—
409	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	—
410	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	complemented
411	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	complemented
412	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	complemented
413	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
414	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
415	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
416	C₄²×D₇₃	C₂³	1	2	yes	—
417	C₄²×D₇₃	C₂³	1	2	yes	—
418	C₄²×D₇₃	C₂³	1	2	yes	—
419	C₄²×D₇₃	C₂³	1	2	yes	—
420	C₄²×D₇₃	C₂³	1	4	yes	complemented
421	C₄²×D₇₃	C₂³	1	8	yes	complemented
422	C₂×#41×C₇₃	C₂³	1	2	yes	—
423	C₂×#41×C₇₃	C₂³	1	4	yes	complemented
424	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
425	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
426	C₄⋊Q₈×C₇₃	C₂³	1	4	yes	complemented
427	#127×C₇₃	C₂³	1	4	yes	—
428	#126×C₇₃	C₂³	1	8	yes	complemented
429	#125×C₇₃	C₂³	1	4	yes	complemented
430	#124×C₇₃	C₂³	1	4	yes	—
431	#124×C₇₃	C₂³	1	8	yes	complemented
432	#123×C₇₃	C₂³	1	8	yes	complemented
433	#123×C₇₃	C₂³	1	8	yes	complemented
434	C₂²⋊Q₈×C₇₃	C₂³	1	4	yes	—
435	C₂²⋊Q₈×C₇₃	C₂³	1	4	yes	complemented
436	C₂²⋊Q₈×C₇₃	C₂³	1	4	yes	complemented
437	#121×C₇₃	C₂³	1	4	yes	—
438	#121×C₇₃	C₂³	1	4	yes	—
439	#121×C₇₃	C₂³	1	4	yes	—
440	#121×C₇₃	C₂³	1	4	yes	complemented
441	#121×C₇₃	C₂³	1	4	yes	complemented
442	#121×C₇₃	C₂³	1	8	yes	complemented
443	#120×C₇₃	C₂³	1	8	yes	—
444	C₄×Q₈×C₇₃	C₂³	1	2	yes	complemented
445	C₄×Q₈×C₇₃	C₂³	1	2	yes	complemented
446	C₄×D₄×C₇₃	C₂³	1	4	yes	—
447	C₄×D₄×C₇₃	C₂³	1	4	yes	—
448	C₄×D₄×C₇₃	C₂³	1	4	yes	—
449	C₄×D₄×C₇₃	C₂³	1	4	yes	—
450	C₄×D₄×C₇₃	C₂³	1	2	yes	complemented
451	C₄×D₄×C₇₃	C₂³	1	2	yes	complemented
452	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
453	#117×C₇₃	C₂³	1	2	yes	—
454	#117×C₇₃	C₂³	1	4	yes	complemented
455	#117×C₇₃	C₂³	1	4	yes	complemented
456	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
457	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
458	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
459	C₂×C₄²×C₇₃	C₂³	1	4	yes	complemented
460	C₂³×D₇₃	—	2	8	no	—
461	C₂³×D₇₃	—	4	4	no	—
462	C₂³×D₇₃	—	4	4	no	—
463	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
464	C₂³×D₇₃	C₂⁴	1	4	yes	—
465	C₂³×D₇₃	C₂⁴	1	4	yes	—
466	C₂³×D₇₃	C₂⁴	1	8	yes	—
467	C₂³×D₇₃	C₂⁴	1	2	yes	—
468	#11924029	—	2	16	no	—
469	#11924029	—	4	8	no	—
470	#11924028	—	2	8	no	—
471	#11924028	—	2	16	no	—
472	#11924028	—	2	16	no	—
473	#11924028	—	4	8	no	—
474	#11924028	—	4	8	no	—
475	#11924027	—	4	16	no	—
476	#11924027	—	4	8	no	—
477	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
478	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
479	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
480	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
481	Q₈×D₇₃	—	4	8	no	—
482	C₂×D₂₉₂	—	2	16	no	—
483	C₂×D₂₉₂	#41	1	8	yes	complemented
484	C₂×D₂₉₂	C₂⁴	1	4	yes	—
485	C₂×D₂₉₂	C₂⁴	1	8	yes	—
486	C₂×D₂₉₂	C₂⁴	1	4	yes	—
487	C₂×D₂₉₂	C₂⁴	1	2	yes	—
488	C₂×D₂₉₂	C₂⁴	1	4	yes	—
489	C₂×D₂₉₂	C₂⁴	1	4	yes	—
490	C₂×C₂²⋊D₇₃	—	2	8	no	—
491	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
492	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
493	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
494	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
495	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
496	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
497	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
498	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
499	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
500	D₄×D₇₃	—	2	32	no	—
501	D₄×D₇₃	—	2	16	no	—
502	D₄×D₇₃	—	2	16	no	—
503	D₄×D₇₃	—	2	16	no	—
504	D₄×D₇₃	—	4	8	no	—
505	D₄×D₇₃	—	4	16	no	—
506	D₄×D₇₃	—	4	16	no	—
507	C₂²×Dic₇₃	—	4	4	no	—
508	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
509	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
510	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
511	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
512	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
513	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
514	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
515	C₂×C₄×D₇₃	—	2	4	no	—
516	C₂×C₄×D₇₃	—	2	4	no	—
517	C₂×C₄×D₇₃	—	2	16	no	—
518	C₂×C₄×D₇₃	—	4	8	no	—
519	C₂×C₄×D₇₃	—	4	4	no	—
520	C₂×C₄×D₇₃	—	4	4	no	—
521	C₂×C₄×D₇₃	—	4	8	no	—
522	C₂×C₄×D₇₃	—	4	16	no	—
523	C₂×C₄×D₇₃	—	4	8	no	—
524	C₂×C₄×D₇₃	—	4	4	no	—
525	C₂×C₄×D₇₃	—	4	2	no	—
526	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
527	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
528	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
529	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
533	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
534	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
535	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
536	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
537	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
538	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
539	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
540	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
541	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
542	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
543	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
544	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
545	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
546	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
547	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
548	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
549	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
550	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
551	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
552	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
553	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
554	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
555	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
556	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
557	#11924007	C₂⁴	1	8	yes	—
558	#11924007	C₂⁴	1	4	yes	—
559	#11924007	C₂⁴	1	4	yes	—
560	#11924007	C₂⁴	1	8	yes	—
561	#11924007	C₂⁴	1	4	yes	—
562	#11924007	C₂⁴	1	4	yes	—
563	#11924007	C₂⁴	1	8	yes	—
564	#11924007	C₂⁴	1	4	yes	—
565	#11924007	C₂⁴	1	4	yes	—
566	#11924007	C₂⁴	1	4	yes	—
567	#11924007	C₂⁴	1	4	yes	—
568	#11924007	C₂⁴	1	4	yes	—
569	#11924007	C₂⁴	1	4	yes	—
570	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
571	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
572	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
573	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
574	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
575	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
576	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
577	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
578	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
579	#11924005	C₂⁴	1	8	yes	—
580	#11924005	C₂⁴	1	8	yes	—
581	#11924005	C₂⁴	1	4	yes	—
582	#11924005	C₂⁴	1	4	yes	—
583	#11924005	C₂⁴	1	4	yes	—
584	#11924005	C₂⁴	1	4	yes	—
585	#11924005	C₂⁴	1	8	yes	—
586	#11924005	C₂⁴	1	8	yes	—
587	#11924005	C₂⁴	1	4	yes	—
588	#11924005	C₂⁴	1	4	yes	—
589	#11924005	C₂⁴	1	8	yes	—
590	#11924005	C₂⁴	1	8	yes	—
591	#11924005	C₂⁴	1	4	yes	—
592	#11924005	C₂⁴	1	4	yes	—
593	#11924005	C₂⁴	1	4	yes	—
594	#11924005	C₂⁴	1	4	yes	—
595	C₄×Dic₇₃	C₂⁴	1	2	yes	—
596	C₄×Dic₇₃	C₂⁴	1	2	yes	—
597	C₄×Dic₇₃	C₂⁴	1	2	yes	—
598	C₄×Dic₇₃	C₂⁴	1	2	yes	—
599	C₄×Dic₇₃	C₂⁴	1	2	yes	—
600	C₄×Dic₇₃	C₂⁴	1	2	yes	—
601	C₄×Dic₇₃	C₂⁴	1	4	yes	—
602	C₄×Dic₇₃	C₂⁴	1	8	yes	—
603	C₄×Dic₇₃	C₂⁴	1	8	yes	—
604	C₄×Dic₇₃	C₂⁴	1	4	yes	—
605	C₄×Dic₇₃	C₂⁴	1	4	yes	—
606	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
607	#41×C₇₃	—	2	8	no	—
608	#41×C₇₃	—	4	8	no	—
609	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
610	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
611	C₂×D₄×C₇₃	—	2	4	no	—
612	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
613	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
614	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
615	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
616	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
617	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
618	C₂²×C₄×C₇₃	—	4	4	no	—
619	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
621	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
622	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
623	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
625	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
626	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
627	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
629	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
630	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
631	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
632	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
633	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
634	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
635	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
636	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
637	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
638	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
639	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
640	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
641	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
642	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
643	C₄²×C₇₃	C₂⁴	1	2	yes	—
644	C₄²×C₇₃	C₂⁴	1	2	yes	—
645	C₄²×C₇₃	C₂⁴	1	4	yes	—
646	C₄²×C₇₃	C₂⁴	1	4	yes	—
647	C₄²×C₇₃	C₂⁴	1	4	yes	—
648	C₂³×C₇₃	—	2	4	no	—
649	C₂³×C₇₃	—	4	2	no	—
650	C₂³×C₇₃	—	4	2	no	—
651	C₂³×C₇₃	C₂⁵	1	4	yes	—
652	C₂³×C₇₃	C₂⁵	1	4	yes	—
653	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
654	C₂²×D₇₃	—	2	2	no	—
655	C₂²×D₇₃	—	2	2	no	—
656	C₂²×D₇₃	—	2	2	no	—
657	C₂²×D₇₃	—	2	8	no	—
658	C₂²×D₇₃	—	2	8	no	—
659	C₂²×D₇₃	—	2	8	no	—
660	C₂²×D₇₃	—	2	8	no	—
661	C₂²×D₇₃	—	2	16	no	—
662	C₂²×D₇₃	—	4	2	no	—
663	C₂²×D₇₃	—	4	4	no	—
664	C₂²×D₇₃	—	4	2	no	—
665	C₂²×D₇₃	—	4	4	no	—
666	C₂²×D₇₃	—	4	8	no	—
667	C₂²×D₇₃	—	4	8	no	—
668	C₂²×D₇₃	—	4	32	no	—
669	C₂²×D₇₃	C₂×#41	1	8	yes	complemented
670	C₂²×D₇₃	C₂⁵	1	4	yes	—
671	C₂²×D₇₃	C₂⁵	1	4	yes	—
672	C₂²×D₇₃	C₂⁵	1	1	yes	characteristic
673	C₂²×D₇₃	C₂⁵	1	1	yes	characteristic
674	Q₈×C₇₃	—	2	4	no	—
675	Q₈×C₇₃	—	4	4	no	—
676	D₄×C₇₃	—	2	8	no	—
677	D₄×C₇₃	—	2	8	no	—
678	D₄×C₇₃	—	2	4	no	—
679	D₄×C₇₃	—	4	8	no	—
680	D₄×C₇₃	—	4	4	no	—
681	D₄×C₇₃	—	4	8	no	—
682	C₂×C₄×C₇₃	—	2	8	no	—
683	C₂×C₄×C₇₃	—	2	2	no	—
684	C₂×C₄×C₇₃	—	2	8	no	—
685	C₂×C₄×C₇₃	—	2	8	no	—
686	C₂×C₄×C₇₃	—	4	2	no	—
687	C₂×C₄×C₇₃	—	4	4	no	—
688	C₂×C₄×C₇₃	—	4	1	no	—
689	C₂×C₄×C₇₃	—	4	4	no	—
690	C₂×C₄×C₇₃	C₂×#41	1	4	yes	complemented
691	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
692	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
693	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
694	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
695	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
696	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
697	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
698	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
699	C₂²⋊D₇₃	—	2	8	no	—
700	C₂²⋊D₇₃	—	2	16	no	—
701	C₂²⋊D₇₃	—	2	16	no	—
702	C₂²⋊D₇₃	—	2	8	no	—
703	C₂²⋊D₇₃	—	2	8	no	—
704	C₂²⋊D₇₃	—	2	8	no	—
705	C₂²⋊D₇₃	—	4	8	no	—
706	C₂²⋊D₇₃	—	4	8	no	—
707	C₂²⋊D₇₃	—	4	4	no	—
708	C₂×Dic₇₃	—	2	2	no	—
709	C₂×Dic₇₃	—	2	2	no	—
710	C₂×Dic₇₃	—	2	8	no	—
711	C₂×Dic₇₃	—	4	2	no	—
712	C₂×Dic₇₃	—	4	4	no	—
713	C₂×Dic₇₃	—	4	1	no	—
714	C₂×Dic₇₃	—	4	8	no	—
715	C₂×Dic₇₃	C₂⁵	1	2	yes	—
716	C₂×Dic₇₃	C₂⁵	1	4	yes	—
717	C₂×Dic₇₃	C₂⁵	1	4	yes	—
718	C₂×Dic₇₃	C₂⁵	1	2	yes	—
719	C₂×Dic₇₃	C₂⁵	1	1	yes	characteristic
720	C₂×Dic₇₃	C₂⁵	1	4	yes	—
721	C₂×Dic₇₃	C₂⁵	1	4	yes	—
722	C₂×Dic₇₃	C₂⁵	1	1	yes	characteristic
723	D₂₉₂	—	2	16	no	—
724	D₂₉₂	—	2	8	no	—
725	D₂₉₂	—	2	8	no	—
726	D₂₉₂	—	2	4	no	—
727	D₂₉₂	—	4	4	no	—
728	D₂₉₂	C₂×#41	1	16	yes	complemented
729	C₄×D₇₃	—	2	16	no	—
730	C₄×D₇₃	—	2	2	no	—
731	C₄×D₇₃	—	2	8	no	—
732	C₄×D₇₃	—	2	4	no	—
733	C₄×D₇₃	—	2	4	no	—
734	C₄×D₇₃	—	2	4	no	—
735	C₄×D₇₃	—	2	8	no	—
736	C₄×D₇₃	—	2	2	no	—
737	C₄×D₇₃	—	2	8	no	—
738	C₄×D₇₃	—	2	8	no	—
739	C₄×D₇₃	—	2	2	no	—
740	C₄×D₇₃	—	2	8	no	—
741	C₄×D₇₃	—	4	4	no	—
742	C₄×D₇₃	—	4	4	no	—
743	C₄×D₇₃	—	4	4	no	—
744	C₄×D₇₃	—	4	2	no	—
745	C₄×D₇₃	—	4	8	no	—
746	C₄×D₇₃	—	4	8	no	—
747	C₄×D₇₃	—	4	8	no	—
748	C₄×D₇₃	—	4	4	no	—
749	C₄×D₇₃	H(5,𝔽₂)	1	4	yes	complemented
750	Dic₁₄₆	—	2	4	no	—
751	Dic₁₄₆	—	2	8	no	—
752	Dic₁₄₆	—	4	4	no	—
753	Dic₁₄₆	—	4	4	no	—
754	C₂²×C₇₃	—	2	1	no	—
755	C₂²×C₇₃	—	2	1	no	—
756	C₂²×C₇₃	—	2	4	no	—
757	C₂²×C₇₃	—	2	4	no	—
758	C₂²×C₇₃	—	2	4	no	—
759	C₂²×C₇₃	—	2	4	no	—
760	C₂²×C₇₃	—	2	4	no	—
761	C₂²×C₇₃	—	2	4	no	—
762	C₂²×C₇₃	—	4	8	no	—
763	C₂²×C₇₃	C₂²×#41	1	2	yes	—
764	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
765	C₂×D₇₃	—	2	8	no	—
766	C₂×D₇₃	—	2	1	no	—
767	C₂×D₇₃	—	2	1	no	—
768	C₂×D₇₃	—	2	1	no	—
769	C₂×D₇₃	—	2	4	no	—
770	C₂×D₇₃	—	2	1	no	—
771	C₂×D₇₃	—	2	4	no	—
772	C₂×D₇₃	—	2	4	no	—
773	C₂×D₇₃	—	2	4	no	—
774	C₂×D₇₃	—	2	4	no	—
775	C₂×D₇₃	—	4	8	no	—
776	C₂×D₇₃	—	4	16	no	—
777	C₂×D₇₃	—	4	16	no	—
778	C₂×D₇₃	—	8	16	no	—
779	C₂×D₇₃	C₂²×#41	1	8	yes	—
780	C₂×D₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
781	C₂×D₇₃	#585	1	2	yes	—
782	C₄×C₇₃	—	2	4	no	—
783	C₄×C₇₃	—	2	4	no	—
784	C₄×C₇₃	—	2	4	no	—
785	C₄×C₇₃	—	2	1	no	—
786	C₄×C₇₃	—	2	4	no	—
787	C₄×C₇₃	—	2	2	no	—
788	C₄×C₇₃	C₂²×#41	1	4	yes	—
789	C₄×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
790	Dic₇₃	—	2	4	no	—
791	Dic₇₃	—	2	2	no	—
792	Dic₇₃	—	2	4	no	—
793	Dic₇₃	—	2	1	no	—
794	Dic₇₃	—	2	4	no	—
795	Dic₇₃	—	2	2	no	—
796	Dic₇₃	—	2	4	no	—
797	Dic₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
798	#62773	—	73	1	no	maximal, Sylow
799	C₂×C₇₃	—	2	2	no	—
800	C₂×C₇₃	—	4	4	no	—
801	C₂×C₇₃	—	4	4	no	—
802	C₂×C₇₃	C₂³×#41	1	1	yes	characteristic
803	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
804	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
805	D₇₃	—	2	2	no	—
806	D₇₃	—	2	2	no	—
807	D₇₃	—	2	8	no	—
808	D₇₃	—	4	4	no	—
809	#3520	—	73	4	no	—
810	#3519	—	73	4	no	—
811	#3513	—	73	4	no	—
812	#3513	—	73	4	no	—
813	#3506	—	73	2	no	—
814	#3505	—	73	4	no	—
815	#3501	—	73	1	no	—
816	#3496	—	73	1	no	—
817	#3492	—	73	1	no	—
818	#3492	—	73	1	no	—
819	#3490	—	73	4	no	—
820	#3484	—	73	2	no	—
821	#3481	—	73	4	no	—
822	#3481	—	73	4	no	—
823	#3475	—	73	4	no	—
824	D₄×#41	—	73	4	no	—
825	#3460	—	73	1	no	—
826	#3460	D₇₃	1	1	yes	characteristic, complemented
827	#3459	—	73	4	no	—
828	#3444	—	73	2	no	—
829	C₂×#525	—	73	4	no	—
830	C₄×H(5,𝔽₂)	—	73	2	no	—
831	C₂²×C₄×D₄	—	73	1	no	—
832	C₇₃	#62773	1	1	yes	characteristic, complemented, Sylow
833	C₂×H(5,𝔽₂)	—	73	2	no	—
834	C₂²×#41	—	73	4	no	—
835	C₂³×D₄	—	73	1	no	—
836	C₂⁴×C₄	—	73	2	no	—
837	#559	—	73	4	no	—
838	#559	—	73	4	no	—
839	#556	—	73	4	no	—
840	#555	—	73	4	no	—
841	#554	—	73	4	no	—
842	#554	—	73	4	no	—
843	#554	—	73	4	no	—
844	#554	—	73	4	no	—
845	#554	—	73	4	no	—
846	#553	—	73	8	no	—
847	#553	—	73	4	no	—
848	#553	—	73	8	no	—
849	#553	—	73	4	no	—
850	#553	—	73	4	no	—
851	#553	—	73	4	no	—
852	#553	—	73	8	no	—
853	#552	—	73	8	no	—
854	#552	—	73	4	no	—
855	#552	—	73	4	no	—
856	#551	—	73	8	no	—
857	#551	—	73	8	no	—
858	#551	—	73	8	no	—
859	#551	—	73	8	no	—
860	#551	—	73	8	no	—
861	#551	—	73	8	no	—
862	#550	—	73	4	no	—
863	D₄×Q₈	—	73	4	no	—
864	#548	—	73	8	no	—
865	#547	—	73	4	no	—
866	#547	—	73	4	no	—
867	#547	—	73	4	no	—
868	#547	—	73	4	no	—
869	#546	—	73	4	no	—
870	#546	—	73	4	no	—
871	#546	—	73	8	no	—
872	#546	—	73	8	no	—
873	#546	—	73	4	no	—
874	#546	—	73	4	no	—
875	#546	—	73	4	no	—
876	#546	—	73	8	no	—
877	#546	—	73	8	no	—
878	#546	—	73	8	no	—
879	#546	—	73	4	no	—
880	D₄²	—	73	4	no	—
881	D₄²	—	73	4	no	—
882	D₄²	—	73	4	no	—
883	D₄²	—	73	4	no	—
884	D₄²	—	73	4	no	—
885	#544	—	73	1	no	—
886	#544	C₂×D₇₃	1	1	yes	characteristic, complemented
887	#543	—	73	4	no	—
888	#542	—	73	4	no	—
889	#542	C₂×D₇₃	1	4	yes	complemented
890	#540	—	73	4	no	—
891	#540	C₂×D₇₃	1	4	yes	complemented
892	#539	—	73	8	no	—
893	#539	—	73	4	no	—
894	#539	—	73	8	no	—
895	#539	—	73	4	no	—
896	#538	—	73	8	no	—
897	#538	—	73	8	no	—
898	#538	—	73	8	no	—
899	#538	—	73	4	no	—
900	#538	C₂×D₇₃	1	4	yes	complemented
901	#537	—	73	1	no	—
902	#537	C₂×D₇₃	1	1	yes	characteristic, complemented
903	#535	—	73	2	no	—
904	#535	C₂×D₇₃	1	2	yes	complemented
905	#534	—	73	4	no	—
906	#534	—	73	8	no	—
907	#533	—	73	2	no	—
908	#533	—	73	2	no	—
909	#533	—	73	2	no	—
910	#532	—	73	2	no	—
911	#532	—	73	4	no	—
912	#532	—	73	2	no	—
913	#532	—	73	2	no	—
914	#532	C₂×D₇₃	1	4	yes	complemented
915	#529	—	73	2	no	—
916	#529	—	73	2	no	—
917	#529	—	73	4	no	—
918	#529	—	73	4	no	—
919	#529	—	73	4	no	—
920	#529	—	73	2	no	—
921	#529	—	73	2	no	—
922	#529	—	73	8	no	—
923	#529	—	73	4	no	—
924	#529	—	73	4	no	—
925	#529	—	73	8	no	—
926	#529	C₂×D₇₃	1	4	yes	complemented
927	#525	—	73	2	no	—
928	#525	—	73	4	no	—
929	#525	—	73	8	no	—
930	#525	—	73	4	no	—
931	#525	—	73	8	no	—
932	#525	—	73	4	no	—
933	#525	—	73	4	no	—
934	#525	—	73	4	no	—
935	#525	—	73	4	no	—
936	#525	—	73	8	no	—
937	#525	—	73	4	no	—
938	#525	—	73	4	no	—
939	#525	—	73	8	no	—
940	#525	—	73	8	no	—
941	#525	—	73	2	no	—
942	#525	—	73	4	no	—
943	#525	C₂×D₇₃	1	4	yes	complemented
944	C₂×#123	—	73	8	no	—
945	C₂×C₂²⋊Q₈	—	73	4	no	—
946	C₂×C₂²⋊Q₈	—	73	4	no	—
947	C₂×#121	—	73	4	no	—
948	C₂×#121	—	73	4	no	—
949	C₂×#120	—	73	8	no	—
950	#520	—	73	2	no	—
951	#520	—	73	4	no	—
952	#520	—	73	2	no	—
953	#520	—	73	4	no	—
954	#518	—	73	8	no	—
955	#518	—	73	4	no	—
956	#518	—	73	2	no	—
957	#518	—	73	4	no	—
958	C₄×#41	—	73	4	no	—
959	C₄×#41	—	73	2	no	—
960	C₄×#41	—	73	4	no	—
961	C₄×#41	—	73	4	no	—
962	C₄×#41	—	73	4	no	—
963	C₄×#41	C₂×D₇₃	1	2	yes	complemented
964	C₂×C₄×D₄	—	73	1	no	—
965	C₂×C₄×D₄	—	73	2	no	—
966	C₂×C₄×D₄	—	73	4	no	—
967	C₂×C₄×D₄	—	73	4	no	—
968	C₂×C₄×D₄	—	73	4	no	—
969	C₂×C₄×D₄	—	73	4	no	—
970	C₂×C₄×D₄	—	73	8	no	—
971	C₂×C₄×D₄	—	73	4	no	—
972	C₂×C₄×D₄	—	73	8	no	—
973	C₂×C₄×D₄	—	73	1	no	—
974	C₂×C₄×D₄	—	73	2	no	—
975	C₂×C₄×D₄	—	73	1	no	—
976	C₂×C₄×D₄	—	73	4	no	—
977	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
978	C₂×#117	—	73	4	no	—
979	C₂²×C₄⋊C₄	—	73	1	no	—
980	C₂²×C₂²⋊C₄	—	73	2	no	—
981	C₂²×C₄²	—	73	1	no	—
982	C₂⁵	—	73	2	no	—
983	H(5,𝔽₂)	—	146	16	no	—
984	C₂×#41	—	292	16	no	—
985	C₂×#41	—	73	4	no	—
986	C₂×#41	—	73	4	no	—
987	C₂×#41	—	73	4	no	—
988	C₂×#41	—	73	8	no	—
989	C₂×#41	—	73	4	no	—
990	C₂×#41	—	73	4	no	—
991	C₂×#41	—	73	2	no	—
992	C₂×#41	—	73	4	no	—
993	C₂×#41	—	73	4	no	—
994	C₂×#41	C₂²×D₇₃	1	2	yes	—
995	C₂×#41	C₂²×D₇₃	1	4	yes	complemented
996	C₂²×Q₈	—	73	4	no	—
997	C₂²×D₄	—	73	8	no	—
998	C₂²×D₄	—	73	8	no	—
999	C₂²×D₄	—	73	4	no	—
1000	C₂²×D₄	—	73	2	no	—
1001	C₂²×D₄	—	73	4	no	—
1002	C₂²×D₄	—	73	4	no	—
1003	C₂²×D₄	—	73	8	no	—
1004	C₂²×D₄	—	73	4	no	—
1005	C₂²×D₄	—	73	1	no	—
1006	C₂²×D₄	—	73	4	no	—
1007	C₂²×D₄	—	146	8	no	—
1008	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
1009	C₂³×C₄	—	292	8	no	—
1010	C₂³×C₄	—	73	2	no	—
1011	C₂³×C₄	—	73	1	no	—
1012	C₂³×C₄	—	73	2	no	—
1013	C₂³×C₄	—	73	2	no	—
1014	C₂³×C₄	—	73	4	no	—
1015	C₂³×C₄	—	73	8	no	—
1016	C₂³×C₄	—	73	2	no	—
1017	C₂³×C₄	—	73	4	no	—
1018	C₂³×C₄	—	73	4	no	—
1019	C₂³×C₄	—	73	1	no	—
1020	C₂³×C₄	—	73	4	no	—
1021	C₂³×C₄	—	73	1	no	—
1022	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
1023	C₄⋊Q₈	—	73	2	no	—
1024	C₄⋊Q₈	—	73	2	no	—
1025	C₄⋊Q₈	—	73	2	no	—
1026	C₄⋊Q₈	—	73	4	no	—
1027	C₄⋊Q₈	C₂²×D₇₃	1	4	yes	complemented
1028	#127	—	73	2	no	—
1029	#127	—	73	4	no	—
1030	#127	C₂²×D₇₃	1	4	yes	—
1031	#126	—	73	4	no	—
1032	#126	—	73	4	no	—
1033	#126	—	73	8	no	—
1034	#126	—	73	4	no	—
1035	#126	—	73	4	no	—
1036	#126	—	73	8	no	—
1037	#126	—	73	8	no	—
1038	#126	—	73	8	no	—
1039	#126	—	73	8	no	—
1040	#126	C₂²×D₇₃	1	8	yes	complemented
1041	#125	—	73	4	no	—
1042	#125	—	73	4	no	—
1043	#125	—	73	2	no	—
1044	#125	—	73	2	no	—
1045	#125	—	73	8	no	—
1046	#125	—	73	8	no	—
1047	#125	—	73	4	no	—
1048	#125	C₂²×D₇₃	1	4	yes	complemented
1049	#124	—	73	2	no	—
1050	#124	—	73	2	no	—
1051	#124	—	73	4	no	—
1052	#124	—	73	8	no	—
1053	#124	—	73	4	no	—
1054	#124	—	73	4	no	—
1055	#124	—	73	8	no	—
1056	#124	—	73	8	no	—
1057	#124	C₂²×D₇₃	1	4	yes	—
1058	#124	C₂²×D₇₃	1	8	yes	complemented
1059	#123	—	73	8	no	—
1060	#123	—	73	4	no	—
1061	#123	—	73	8	no	—
1062	#123	—	73	8	no	—
1063	#123	—	73	8	no	—
1064	#123	—	73	4	no	—
1065	#123	—	73	8	no	—
1066	#123	—	73	4	no	—
1067	#123	—	73	8	no	—
1068	#123	—	73	8	no	—
1069	#123	—	73	4	no	—
1070	#123	—	73	8	no	—
1071	#123	—	73	8	no	—
1072	#123	—	73	4	no	—
1073	#123	—	73	4	no	—
1074	#123	—	73	8	no	—
1075	#123	—	73	8	no	—
1076	#123	—	73	8	no	—
1077	#123	—	73	8	no	—
1078	#123	—	73	8	no	—
1079	#123	C₂²×D₇₃	1	8	yes	complemented
1080	#123	C₂²×D₇₃	1	8	yes	complemented
1081	C₂²⋊Q₈	—	73	4	no	—
1082	C₂²⋊Q₈	—	73	4	no	—
1083	C₂²⋊Q₈	—	73	2	no	—
1084	C₂²⋊Q₈	—	73	2	no	—
1085	C₂²⋊Q₈	—	73	8	no	—
1086	C₂²⋊Q₈	—	73	8	no	—
1087	C₂²⋊Q₈	—	73	4	no	—
1088	C₂²⋊Q₈	—	73	4	no	—
1089	C₂²⋊Q₈	—	73	4	no	—
1090	C₂²⋊Q₈	—	73	8	no	—
1091	C₂²⋊Q₈	—	73	4	no	—
1092	C₂²⋊Q₈	—	73	4	no	—
1093	C₂²⋊Q₈	—	73	2	no	—
1094	C₂²⋊Q₈	—	73	2	no	—
1095	C₂²⋊Q₈	—	73	4	no	—
1096	C₂²⋊Q₈	—	73	8	no	—
1097	C₂²⋊Q₈	—	73	4	no	—
1098	C₂²⋊Q₈	—	73	8	no	—
1099	C₂²⋊Q₈	—	73	8	no	—
1100	C₂²⋊Q₈	—	73	4	no	—
1101	C₂²⋊Q₈	—	73	8	no	—
1102	C₂²⋊Q₈	—	73	4	no	—
1103	C₂²⋊Q₈	—	73	8	no	—
1104	C₂²⋊Q₈	C₂²×D₇₃	1	4	yes	—
1105	C₂²⋊Q₈	C₂²×D₇₃	1	4	yes	complemented
1106	C₂²⋊Q₈	C₂²×D₇₃	1	4	yes	complemented
1107	#121	—	73	4	no	—
1108	#121	—	73	4	no	—
1109	#121	—	73	4	no	—
1110	#121	—	73	8	no	—
1111	#121	—	73	4	no	—
1112	#121	—	73	2	no	—
1113	#121	—	73	2	no	—
1114	#121	—	73	8	no	—
1115	#121	—	73	8	no	—
1116	#121	—	73	8	no	—
1117	#121	—	73	8	no	—
1118	#121	—	73	4	no	—
1119	#121	—	73	4	no	—
1120	#121	—	73	4	no	—
1121	#121	—	73	4	no	—
1122	#121	—	73	4	no	—
1123	#121	—	73	4	no	—
1124	#121	—	73	2	no	—
1125	#121	—	73	2	no	—
1126	#121	—	73	4	no	—
1127	#121	—	73	4	no	—
1128	#121	—	73	8	no	—
1129	#121	—	73	4	no	—
1130	#121	—	73	8	no	—
1131	#121	—	73	8	no	—
1132	#121	—	73	8	no	—
1133	#121	C₂²×D₇₃	1	4	yes	—
1134	#121	C₂²×D₇₃	1	4	yes	—
1135	#121	C₂²×D₇₃	1	4	yes	—
1136	#121	C₂²×D₇₃	1	4	yes	complemented
1137	#121	C₂²×D₇₃	1	4	yes	complemented
1138	#121	C₂²×D₇₃	1	8	yes	complemented
1139	#120	—	73	8	no	—
1140	#120	—	73	4	no	—
1141	#120	—	73	8	no	—
1142	#120	—	73	8	no	—
1143	#120	—	73	8	no	—
1144	#120	—	73	8	no	—
1145	#120	—	73	8	no	—
1146	#120	—	73	4	no	—
1147	#120	—	73	8	no	—
1148	#120	—	73	8	no	—
1149	#120	—	73	8	no	—
1150	#120	C₂²×D₇₃	1	8	yes	—
1151	C₄×Q₈	—	73	4	no	—
1152	C₄×Q₈	—	73	2	no	—
1153	C₄×Q₈	—	73	2	no	—
1154	C₄×Q₈	—	73	4	no	—
1155	C₄×Q₈	—	73	4	no	—
1156	C₄×Q₈	—	73	4	no	—
1157	C₄×Q₈	—	73	4	no	—
1158	C₄×Q₈	—	73	4	no	—
1159	C₄×Q₈	C₂²×D₇₃	1	2	yes	complemented
1160	C₄×Q₈	C₂²×D₇₃	1	2	yes	complemented
1161	C₄×D₄	—	73	4	no	—
1162	C₄×D₄	—	73	4	no	—
1163	C₄×D₄	—	73	8	no	—
1164	C₄×D₄	—	73	4	no	—
1165	C₄×D₄	—	73	8	no	—
1166	C₄×D₄	—	73	8	no	—
1167	C₄×D₄	—	73	8	no	—
1168	C₄×D₄	—	73	4	no	—
1169	C₄×D₄	—	73	4	no	—
1170	C₄×D₄	—	73	8	no	—
1171	C₄×D₄	—	73	8	no	—
1172	C₄×D₄	—	73	4	no	—
1173	C₄×D₄	—	73	8	no	—
1174	C₄×D₄	—	73	4	no	—
1175	C₄×D₄	—	73	4	no	—
1176	C₄×D₄	—	73	4	no	—
1177	C₄×D₄	—	73	4	no	—
1178	C₄×D₄	—	73	4	no	—
1179	C₄×D₄	—	73	4	no	—
1180	C₄×D₄	—	73	4	no	—
1181	C₄×D₄	—	73	4	no	—
1182	C₄×D₄	—	73	4	no	—
1183	C₄×D₄	—	73	8	no	—
1184	C₄×D₄	—	73	4	no	—
1185	C₄×D₄	—	73	8	no	—
1186	C₄×D₄	—	73	4	no	—
1187	C₄×D₄	—	73	8	no	—
1188	C₄×D₄	—	73	8	no	—
1189	C₄×D₄	—	73	8	no	—
1190	C₄×D₄	—	73	8	no	—
1191	C₄×D₄	—	73	8	no	—
1192	C₄×D₄	—	73	8	no	—
1193	C₄×D₄	—	73	8	no	—
1194	C₄×D₄	—	73	8	no	—
1195	C₄×D₄	—	73	4	no	—
1196	C₄×D₄	—	73	4	no	—
1197	C₄×D₄	—	73	4	no	—
1198	C₄×D₄	—	73	8	no	—
1199	C₄×D₄	—	73	2	no	—
1200	C₄×D₄	—	73	4	no	—
1201	C₄×D₄	—	73	8	no	—
1202	C₄×D₄	—	73	4	no	—
1203	C₄×D₄	—	73	2	no	—
1204	C₄×D₄	—	73	4	no	—
1205	C₄×D₄	—	73	4	no	—
1206	C₄×D₄	—	73	4	no	—
1207	C₄×D₄	—	73	4	no	—
1208	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1209	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1210	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1211	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1212	C₄×D₄	C₂²×D₇₃	1	2	yes	complemented
1213	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
1214	C₄×D₄	C₂²×D₇₃	1	2	yes	complemented
1215	#117	—	73	4	no	—
1216	#117	—	73	2	no	—
1217	#117	—	73	4	no	—
1218	#117	—	73	4	no	—
1219	#117	—	73	4	no	—
1220	#117	—	73	4	no	—
1221	#117	—	73	4	no	—
1222	#117	—	73	8	no	—
1223	#117	—	73	4	no	—
1224	#117	—	73	8	no	—
1225	#117	—	73	4	no	—
1226	#117	—	73	4	no	—
1227	#117	—	73	8	no	—
1228	#117	—	73	4	no	—
1229	#117	—	73	4	no	—
1230	#117	—	73	4	no	—
1231	#117	C₂²×D₇₃	1	2	yes	—
1232	#117	C₂²×D₇₃	1	4	yes	complemented
1233	#117	C₂²×D₇₃	1	4	yes	complemented
1234	C₂×C₄⋊C₄	—	73	1	no	—
1235	C₂×C₄⋊C₄	—	73	2	no	—
1236	C₂×C₄⋊C₄	—	73	4	no	—
1237	C₂×C₄⋊C₄	—	73	4	no	—
1238	C₂×C₄⋊C₄	—	73	4	no	—
1239	C₂×C₄⋊C₄	—	73	4	no	—
1240	C₂×C₄⋊C₄	—	73	4	no	—
1241	C₂×C₄⋊C₄	—	73	8	no	—
1242	C₂×C₄⋊C₄	—	73	4	no	—
1243	C₂×C₄⋊C₄	—	73	8	no	—
1244	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	—	73	2	no	—
1246	C₂×C₂²⋊C₄	—	73	2	no	—
1247	C₂×C₂²⋊C₄	—	73	2	no	—
1248	C₂×C₂²⋊C₄	—	73	8	no	—
1249	C₂×C₂²⋊C₄	—	73	8	no	—
1250	C₂×C₂²⋊C₄	—	73	8	no	—
1251	C₂×C₂²⋊C₄	—	73	8	no	—
1252	C₂×C₂²⋊C₄	—	73	8	no	—
1253	C₂×C₂²⋊C₄	—	73	8	no	—
1254	C₂×C₂²⋊C₄	—	73	8	no	—
1255	C₂×C₂²⋊C₄	—	73	8	no	—
1256	C₂×C₂²⋊C₄	—	73	8	no	—
1257	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1258	C₂×C₄²	—	73	1	no	—
1259	C₂×C₄²	—	73	1	no	—
1260	C₂×C₄²	—	73	1	no	—
1261	C₂×C₄²	—	73	8	no	—
1262	C₂×C₄²	—	73	2	no	—
1263	C₂×C₄²	—	73	2	no	—
1264	C₂×C₄²	—	73	2	no	—
1265	C₂×C₄²	—	73	2	no	—
1266	C₂×C₄²	—	73	4	no	—
1267	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1268	C₂×C₄²	C₂²×D₇₃	1	4	yes	complemented
1269	C₂⁴	—	292	4	no	—
1270	C₂⁴	—	292	4	no	—
1271	C₂⁴	—	73	2	no	—
1272	C₂⁴	—	73	8	no	—
1273	C₂⁴	—	73	4	no	—
1274	C₂⁴	—	73	4	no	—
1275	C₂⁴	—	73	1	no	—
1276	C₂⁴	—	146	8	no	—
1277	C₂⁴	C₂³×D₇₃	1	2	yes	—
1278	#41	—	2	8	no	—
1279	#41	—	4	8	no	—
1280	#41	—	292	8	no	—
1281	#41	—	292	8	no	—
1282	#41	—	292	16	no	—
1283	#41	—	292	8	no	—
1284	#41	—	292	8	no	—
1285	#41	—	146	16	no	—
1286	#41	—	146	16	no	—
1287	#41	—	146	16	no	—
1288	#41	—	146	8	no	—
1289	C₂×Q₈	—	292	8	no	—
1290	C₂×Q₈	—	73	4	no	—
1291	C₂×Q₈	—	73	4	no	—
1292	C₂×Q₈	—	73	2	no	—
1293	C₂×Q₈	—	73	4	no	—
1294	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
1295	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1296	C₂×D₄	—	2	4	no	—
1297	C₂×D₄	—	292	16	no	—
1298	C₂×D₄	—	292	16	no	—
1299	C₂×D₄	—	292	8	no	—
1300	C₂×D₄	—	73	4	no	—
1301	C₂×D₄	—	73	8	no	—
1302	C₂×D₄	—	73	8	no	—
1303	C₂×D₄	—	73	4	no	—
1304	C₂×D₄	—	73	8	no	—
1305	C₂×D₄	—	73	4	no	—
1306	C₂×D₄	—	73	8	no	—
1307	C₂×D₄	—	73	4	no	—
1308	C₂×D₄	—	73	4	no	—
1309	C₂×D₄	—	73	8	no	—
1310	C₂×D₄	—	73	4	no	—
1311	C₂×D₄	—	73	4	no	—
1312	C₂×D₄	—	73	4	no	—
1313	C₂×D₄	—	73	8	no	—
1314	C₂×D₄	—	73	2	no	—
1315	C₂×D₄	—	73	4	no	—
1316	C₂×D₄	—	146	16	no	—
1317	C₂×D₄	—	146	16	no	—
1318	C₂×D₄	—	146	16	no	—
1319	C₂×D₄	—	146	16	no	—
1320	C₂×D₄	—	146	32	no	—
1321	C₂×D₄	—	146	8	no	—
1322	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1323	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1324	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1325	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1326	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1327	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1328	C₂²×C₄	—	4	4	no	—
1329	C₂²×C₄	—	292	4	no	—
1330	C₂²×C₄	—	292	8	no	—
1331	C₂²×C₄	—	292	16	no	—
1332	C₂²×C₄	—	292	8	no	—
1333	C₂²×C₄	—	292	4	no	—
1334	C₂²×C₄	—	292	2	no	—
1335	C₂²×C₄	—	292	8	no	—
1336	C₂²×C₄	—	292	4	no	—
1337	C₂²×C₄	—	292	4	no	—
1338	C₂²×C₄	—	73	1	no	—
1339	C₂²×C₄	—	73	2	no	—
1340	C₂²×C₄	—	73	8	no	—
1341	C₂²×C₄	—	73	4	no	—
1342	C₂²×C₄	—	73	2	no	—
1343	C₂²×C₄	—	73	8	no	—
1344	C₂²×C₄	—	73	4	no	—
1345	C₂²×C₄	—	73	4	no	—
1346	C₂²×C₄	—	73	4	no	—
1347	C₂²×C₄	—	73	4	no	—
1348	C₂²×C₄	—	73	8	no	—
1349	C₂²×C₄	—	73	8	no	—
1350	C₂²×C₄	—	73	1	no	—
1351	C₂²×C₄	—	73	1	no	—
1352	C₂²×C₄	—	73	1	no	—
1353	C₂²×C₄	—	73	4	no	—
1354	C₂²×C₄	—	73	2	no	—
1355	C₂²×C₄	—	73	2	no	—
1356	C₂²×C₄	—	73	2	no	—
1357	C₂²×C₄	—	73	1	no	—
1358	C₂²×C₄	—	73	1	no	—
1359	C₂²×C₄	—	73	8	no	—
1360	C₂²×C₄	—	73	4	no	—
1361	C₂²×C₄	—	73	4	no	—
1362	C₂²×C₄	—	73	4	no	—
1363	C₂²×C₄	—	73	1	no	—
1364	C₂²×C₄	—	73	4	no	—
1365	C₂²×C₄	—	73	4	no	—
1366	C₂²×C₄	—	146	4	no	—
1367	C₂²×C₄	—	146	16	no	—
1368	C₂²×C₄	—	146	4	no	—
1369	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1370	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1371	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1372	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1373	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1374	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1375	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1376	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1377	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1378	C₄⋊C₄	—	73	8	no	—
1379	C₄⋊C₄	—	73	4	no	—
1380	C₄⋊C₄	—	73	4	no	—
1381	C₄⋊C₄	—	73	8	no	—
1382	C₄⋊C₄	—	73	4	no	—
1383	C₄⋊C₄	—	73	4	no	—
1384	C₄⋊C₄	—	73	8	no	—
1385	C₄⋊C₄	—	73	4	no	—
1386	C₄⋊C₄	—	73	4	no	—
1387	C₄⋊C₄	—	73	4	no	—
1388	C₄⋊C₄	—	73	4	no	—
1389	C₄⋊C₄	—	73	4	no	—
1390	C₄⋊C₄	—	73	4	no	—
1391	C₄⋊C₄	—	73	4	no	—
1392	C₄⋊C₄	—	73	2	no	—
1393	C₄⋊C₄	—	73	4	no	—
1394	C₄⋊C₄	—	73	8	no	—
1395	C₄⋊C₄	—	73	4	no	—
1396	C₄⋊C₄	—	73	4	no	—
1397	C₄⋊C₄	—	73	2	no	—
1398	C₄⋊C₄	—	73	4	no	—
1399	C₄⋊C₄	—	73	4	no	—
1400	C₄⋊C₄	—	73	4	no	—
1401	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1402	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1403	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1404	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1405	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1406	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1407	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1408	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1409	C₂²⋊C₄	—	73	8	no	—
1410	C₂²⋊C₄	—	73	4	no	—
1411	C₂²⋊C₄	—	73	4	no	—
1412	C₂²⋊C₄	—	73	8	no	—
1413	C₂²⋊C₄	—	73	8	no	—
1414	C₂²⋊C₄	—	73	8	no	—
1415	C₂²⋊C₄	—	73	4	no	—
1416	C₂²⋊C₄	—	73	4	no	—
1417	C₂²⋊C₄	—	73	4	no	—
1418	C₂²⋊C₄	—	73	8	no	—
1419	C₂²⋊C₄	—	73	8	no	—
1420	C₂²⋊C₄	—	73	4	no	—
1421	C₂²⋊C₄	—	73	4	no	—
1422	C₂²⋊C₄	—	73	4	no	—
1423	C₂²⋊C₄	—	73	8	no	—
1424	C₂²⋊C₄	—	73	8	no	—
1425	C₂²⋊C₄	—	73	4	no	—
1426	C₂²⋊C₄	—	73	4	no	—
1427	C₂²⋊C₄	—	73	8	no	—
1428	C₂²⋊C₄	—	73	4	no	—
1429	C₂²⋊C₄	—	73	4	no	—
1430	C₂²⋊C₄	—	73	8	no	—
1431	C₂²⋊C₄	—	73	4	no	—
1432	C₂²⋊C₄	—	73	4	no	—
1433	C₂²⋊C₄	—	73	4	no	—
1434	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1435	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1436	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1437	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1438	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1439	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1440	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1441	C₄²	—	73	2	no	—
1442	C₄²	—	73	2	no	—
1443	C₄²	—	73	2	no	—
1444	C₄²	—	73	2	no	—
1445	C₄²	—	73	2	no	—
1446	C₄²	—	73	8	no	—
1447	C₄²	—	73	8	no	—
1448	C₄²	—	73	4	no	—
1449	C₄²	—	73	4	no	—
1450	C₄²	—	73	2	no	—
1451	C₄²	—	73	4	no	—
1452	C₄²	C₂³×D₇₃	1	2	yes	—
1453	C₄²	C₂³×D₇₃	1	4	yes	—
1454	C₄²	C₂³×D₇₃	1	4	yes	—
1455	C₄²	C₂³×D₇₃	1	2	yes	—
1456	C₄²	C₂³×D₇₃	1	4	yes	—
1457	C₂³	—	2	4	no	—
1458	C₂³	—	4	2	no	—
1459	C₂³	—	4	2	no	—
1460	C₂³	—	292	2	no	—
1461	C₂³	—	292	4	no	—
1462	C₂³	—	292	2	no	—
1463	C₂³	—	292	4	no	—
1464	C₂³	—	292	8	no	—
1465	C₂³	—	292	8	no	—
1466	C₂³	—	292	32	no	—
1467	C₂³	—	73	8	no	—
1468	C₂³	—	73	4	no	—
1469	C₂³	—	73	1	no	—
1470	C₂³	—	73	1	no	—
1471	C₂³	—	73	4	no	—
1472	C₂³	—	146	8	no	—
1473	C₂³	—	146	8	no	—
1474	C₂³	—	146	8	no	—
1475	C₂³	—	146	8	no	—
1476	C₂³	—	146	16	no	—
1477	C₂³	—	146	2	no	—
1478	C₂³	—	146	2	no	—
1479	C₂³	—	146	2	no	—
1480	C₂³	C₂⁴×D₇₃	1	4	yes	—
1481	C₂³	C₂⁴×D₇₃	1	4	yes	—
1482	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1483	Q₈	—	2	4	no	—
1484	Q₈	—	4	4	no	—
1485	Q₈	—	292	4	no	—
1486	Q₈	—	292	4	no	—
1487	Q₈	—	146	8	no	—
1488	Q₈	—	146	4	no	—
1489	D₄	—	2	8	no	—
1490	D₄	—	2	8	no	—
1491	D₄	—	2	4	no	—
1492	D₄	—	4	4	no	—
1493	D₄	—	4	8	no	—
1494	D₄	—	4	8	no	—
1495	D₄	—	292	4	no	—
1496	D₄	—	292	8	no	—
1497	D₄	—	292	8	no	—
1498	D₄	—	292	4	no	—
1499	D₄	—	73	16	no	—
1500	D₄	—	146	8	no	—
1501	D₄	—	146	8	no	—
1502	D₄	—	146	16	no	—
1503	D₄	—	146	8	no	—
1504	D₄	—	146	8	no	—
1505	D₄	—	146	8	no	—
1506	D₄	—	146	16	no	—
1507	D₄	—	146	16	no	—
1508	D₄	—	146	8	no	—
1509	D₄	—	146	4	no	—
1510	C₂×C₄	—	2	8	no	—
1511	C₂×C₄	—	2	2	no	—
1512	C₂×C₄	—	2	8	no	—
1513	C₂×C₄	—	2	8	no	—
1514	C₂×C₄	—	4	4	no	—
1515	C₂×C₄	—	4	2	no	—
1516	C₂×C₄	—	4	1	no	—
1517	C₂×C₄	—	4	4	no	—
1518	C₂×C₄	—	292	4	no	—
1519	C₂×C₄	—	292	4	no	—
1520	C₂×C₄	—	292	4	no	—
1521	C₂×C₄	—	292	8	no	—
1522	C₂×C₄	—	292	8	no	—
1523	C₂×C₄	—	292	2	no	—
1524	C₂×C₄	—	292	8	no	—
1525	C₂×C₄	—	292	4	no	—
1526	C₂×C₄	—	292	2	no	—
1527	C₂×C₄	—	292	4	no	—
1528	C₂×C₄	—	292	8	no	—
1529	C₂×C₄	—	292	1	no	—
1530	C₂×C₄	—	73	1	no	—
1531	C₂×C₄	—	73	4	no	—
1532	C₂×C₄	—	73	2	no	—
1533	C₂×C₄	—	73	4	no	—
1534	C₂×C₄	—	73	4	no	—
1535	C₂×C₄	—	73	2	no	—
1536	C₂×C₄	—	73	1	no	—
1537	C₂×C₄	—	73	4	no	—
1538	C₂×C₄	—	73	4	no	—
1539	C₂×C₄	—	146	2	no	—
1540	C₂×C₄	—	146	8	no	—
1541	C₂×C₄	—	146	2	no	—
1542	C₂×C₄	—	146	8	no	—
1543	C₂×C₄	—	146	4	no	—
1544	C₂×C₄	—	146	16	no	—
1545	C₂×C₄	—	146	2	no	—
1546	C₂×C₄	—	146	8	no	—
1547	C₂×C₄	—	146	2	no	—
1548	C₂×C₄	—	146	4	no	—
1549	C₂×C₄	—	146	4	no	—
1550	C₂×C₄	—	146	8	no	—
1551	C₂×C₄	—	146	2	no	—
1552	C₂×C₄	—	146	8	no	—
1553	C₂×C₄	—	146	8	no	—
1554	C₂×C₄	#41×D₇₃	1	4	yes	complemented
1555	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1556	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1557	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1558	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1559	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1560	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1561	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1562	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1563	C₂²	—	2	1	no	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	4	no	—
1566	C₂²	—	2	4	no	—
1567	C₂²	—	2	4	no	—
1568	C₂²	—	2	4	no	—
1569	C₂²	—	2	4	no	—
1570	C₂²	—	2	4	no	—
1571	C₂²	—	4	8	no	—
1572	C₂²	—	292	8	no	—
1573	C₂²	—	292	16	no	—
1574	C₂²	—	292	16	no	—
1575	C₂²	—	584	16	no	—
1576	C₂²	—	73	8	no	—
1577	C₂²	—	73	2	no	—
1578	C₂²	—	73	2	no	—
1579	C₂²	—	146	8	no	—
1580	C₂²	—	146	4	no	—
1581	C₂²	—	146	4	no	—
1582	C₂²	—	146	4	no	—
1583	C₂²	—	146	1	no	—
1584	C₂²	—	146	1	no	—
1585	C₂²	—	146	1	no	—
1586	C₂²	—	146	4	no	—
1587	C₂²	—	146	1	no	—
1588	C₂²	—	146	4	no	—
1589	C₂²	C₂×#41×D₇₃	1	2	yes	—
1590	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1591	C₄	—	2	4	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	2	4	no	—
1594	C₄	—	2	4	no	—
1595	C₄	—	2	2	no	—
1596	C₄	—	2	4	no	—
1597	C₄	—	73	2	no	—
1598	C₄	—	146	2	no	—
1599	C₄	—	146	4	no	—
1600	C₄	—	146	1	no	—
1601	C₄	—	146	4	no	—
1602	C₄	—	146	4	no	—
1603	C₄	—	146	4	no	—
1604	C₄	—	146	2	no	—
1605	C₄	C₂×#41×D₇₃	1	4	yes	—
1606	C₄	H(5,𝔽₂)×D₇₃	1	2	yes	—
1607	C₂	—	2	2	no	—
1608	C₂	—	4	4	no	—
1609	C₂	—	4	4	no	—
1610	C₂	—	292	4	no	—
1611	C₂	—	146	2	no	—
1612	C₂	—	146	2	no	—
1613	C₂	—	146	8	no	—
1614	C₂	C₂²×#41×D₇₃	1	1	yes	characteristic
1615	C₂	C₂×H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1616	C₂	#585×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₇₃
commutator, socle, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₇₃×#3460	C₂
hypercenter	#3460	D₇₃
hypocenter	C₇₃	#62773
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ #3460

Complements

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

N	H ≅ G/N	type
1. #22623978	C₂	semidirect
2. #22623961	C₂	semidirect
3. #22623877	C₂	semidirect
4. #22623869	C₂	semidirect
5. #22623782	C₂	semidirect
6. #22623769	C₂	semidirect
7. #22623733	C₂	semidirect
8. #22623694	C₂	semidirect
9. #22623641	C₂	semidirect
10. #22623638	C₂	semidirect
11. #22623617	C₂	semidirect
12. #22623565	C₂	semidirect
13. #22623539	C₂	semidirect
14. #22623537	C₂	semidirect
15. #22623487	C₂	semidirect
16. #22623417	C₂	semidirect
17. #22623353	C₂	semidirect
18. #22623338	C₂	semidirect
19. #22623224	C₂	semidirect
20. #525×D₇₃	C₂	semidirect
21. C₄×#14556637	C₂	semidirect
22. C₂×C₄×D₄×D₇₃	C₂	semidirect
23. C₇₃×#3460	C₂	semidirect
25. C₂×#41×D₇₃	C₂²	semidirect
27. C₂³×C₄×D₇₃	C₂²	semidirect
28. #17989323	C₂²	semidirect
29. #17989319	C₂²	semidirect
30. #17989306	C₂²	semidirect
31. #17989301	C₂²	semidirect
32. #17989298	C₂²	semidirect
33. #17989298	C₂²	semidirect
34. #17989295	C₂²	semidirect
35. #17989293	C₂²	semidirect
36. #17989293	C₂²	semidirect
37. #17989290	C₂²	semidirect
38. #17989289	C₂²	semidirect
39. #17989288	C₂²	semidirect
40. #17989284	C₂²	semidirect
41. #17989284	C₂²	semidirect
42. #17989284	C₂²	semidirect
43. #17989282	C₂²	semidirect
44. #17989275	C₂²	semidirect
45. #17989273	C₂²	semidirect
46. #17989271	C₂²	semidirect
47. #17989267	C₂²	semidirect
48. #17989267	C₂²	semidirect
49. #17989265	C₂²	semidirect
50. #17989262	C₂²	semidirect
51. #17989262	C₂²	semidirect
52. #17989260	C₂²	semidirect
53. #17989257	C₂²	semidirect
54. #17989252	C₂²	semidirect
55. #17989245	C₂²	semidirect
56. #17989240	C₂²	semidirect
57. #17989239	C₂²	semidirect
58. #17989237	C₂²	semidirect
59. #17989237	C₂²	semidirect
60. #17989234	C₂²	semidirect
61. #17989234	C₂²	semidirect
62. #17989234	C₂²	semidirect
63. #17989234	C₂²	semidirect
64. #17989230	C₂²	semidirect
65. #17989230	C₂²	semidirect
66. #17989230	C₂²	semidirect
67. #17989229	C₂²	semidirect
68. #17989228	C₂²	semidirect
69. #17989226	C₂²	semidirect
70. #17989226	C₂²	semidirect
71. #17989222	C₂²	semidirect
72. #17989222	C₂²	semidirect
73. #17989221	C₂²	semidirect
74. #17989221	C₂²	semidirect
75. #17989221	C₂²	semidirect
76. #17989218	C₂²	semidirect
77. #17989212	C₂²	semidirect
78. #17989202	C₂²	semidirect
79. #17989188	C₂²	semidirect
80. #17989186	C₂²	semidirect
81. #17989183	C₂²	semidirect
82. #17989182	C₂²	semidirect
83. #17989180	C₂²	semidirect
84. #17989175	C₂²	semidirect
85. #17989173	C₂²	semidirect
86. #17989172	C₂²	semidirect
87. #17989169	C₂²	semidirect
88. #17989168	C₂²	semidirect
89. #17989154	C₂²	semidirect
90. #17989147	C₂²	semidirect
91. #17989145	C₂²	semidirect
92. #17989141	C₂²	semidirect
93. #17989141	C₂²	semidirect
94. #17989140	C₂²	semidirect
95. #17989134	C₂²	semidirect
96. #17989134	C₂²	semidirect
97. #17989134	C₂²	semidirect
98. #17989133	C₂²	semidirect
99. #17989124	C₂²	semidirect
100. #17989124	C₂²	semidirect
101. #17989119	C₂²	semidirect
102. #17989119	C₂²	semidirect
103. #17989119	C₂²	semidirect
104. #17989119	C₂²	semidirect
105. #17989117	C₂²	semidirect
106. #17989117	C₂²	semidirect
107. #17989115	C₂²	semidirect
108. #17989115	C₂²	semidirect
109. #17989115	C₂²	semidirect
110. #17989100	C₂²	semidirect
111. #17989100	C₂²	semidirect
112. #17989099	C₂²	semidirect
113. #17989099	C₂²	semidirect
114. #17989098	C₂²	semidirect
115. #17989097	C₂²	semidirect
116. #17989097	C₂²	semidirect
117. #17989096	C₂²	semidirect
118. #17989096	C₂²	semidirect
119. #17989096	C₂²	semidirect
120. #17989096	C₂²	semidirect
121. #17989095	C₂²	semidirect
122. #17989094	C₂²	semidirect
123. #17989094	C₂²	semidirect
124. #17989094	C₂²	semidirect
125. #17989093	C₂²	semidirect
126. #123×D₇₃	C₂²	semidirect
127. C₂²⋊Q₈×D₇₃	C₂²	semidirect
128. C₂²⋊Q₈×D₇₃	C₂²	semidirect
129. #121×D₇₃	C₂²	semidirect
130. #121×D₇₃	C₂²	semidirect
131. #120×D₇₃	C₂²	semidirect
132. #17989070	C₂²	semidirect
133. #17989069	C₂²	semidirect
134. #17989067	C₂²	semidirect
135. #17989067	C₂²	semidirect
137. #17989061	C₂²	semidirect
138. #17989059	C₂²	semidirect
139. #17989059	C₂²	semidirect
140. C₄×#11924029	C₂²	semidirect
141. C₄×#11924028	C₂²	semidirect
142. C₄×#11924028	C₂²	semidirect
143. C₄×#11924028	C₂²	semidirect
144. C₄×#11924028	C₂²	semidirect
146. C₂×C₄×D₂₉₂	C₂²	semidirect
147. C₂×D₄×Dic₇₃	C₂²	semidirect
149. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
150. C₂×#14556551	C₂²	semidirect
151. C₄×D₄×D₇₃	C₂²	semidirect
152. C₄×D₄×D₇₃	C₂²	semidirect
153. C₄×D₄×D₇₃	C₂²	semidirect
154. C₄×D₄×D₇₃	C₂²	semidirect
155. C₄×D₄×D₇₃	C₂²	semidirect
156. C₄×D₄×D₇₃	C₂²	semidirect
157. C₄×D₄×D₇₃	C₂²	semidirect
158. #117×D₇₃	C₂²	semidirect
159. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
160. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
161. C₂×C₄²×D₇₃	C₂²	semidirect
162. #544×C₇₃	C₂²	semidirect
163. #542×C₇₃	C₂²	semidirect
164. #540×C₇₃	C₂²	semidirect
165. #538×C₇₃	C₂²	semidirect
166. #537×C₇₃	C₂²	semidirect
167. #535×C₇₃	C₂²	semidirect
168. #532×C₇₃	C₂²	semidirect
169. #529×C₇₃	C₂²	semidirect
170. #525×C₇₃	C₂²	semidirect
171. C₄×#41×C₇₃	C₂²	semidirect
172. C₂×C₄×D₄×C₇₃	C₂²	semidirect
181. C₂×#11924028	C₂³	semidirect
183. C₂×#11924027	C₂³	semidirect
185. C₂×Q₈×D₇₃	C₂³	semidirect
196. C₂×D₄×D₇₃	C₂³	semidirect
209. C₂²×C₄×D₇₃	C₂³	semidirect
210. #14556590	C₂³	semidirect
211. #14556590	C₂³	semidirect
212. #14556590	C₂³	semidirect
213. #14556589	C₂³	semidirect
215. #14556587	C₂³	semidirect
216. #14556586	C₂³	semidirect
217. #14556586	C₂³	semidirect
218. #14556586	C₂³	semidirect
219. #14556584	C₂³	semidirect
220. #14556584	C₂³	semidirect
221. #14556584	C₂³	semidirect
222. #14556584	C₂³	semidirect
223. #14556584	C₂³	semidirect
224. #14556584	C₂³	semidirect
225. #14556582	C₂³	semidirect
226. #14556582	C₂³	semidirect
227. #14556582	C₂³	semidirect
228. #14556582	C₂³	semidirect
229. #14556581	C₂³	semidirect
230. #14556581	C₂³	semidirect
231. #14556581	C₂³	semidirect
232. #14556580	C₂³	semidirect
234. #14556578	C₂³	semidirect
235. #14556578	C₂³	semidirect
236. #14556577	C₂³	semidirect
237. #14556577	C₂³	semidirect
238. #14556577	C₂³	semidirect
239. #14556577	C₂³	semidirect
243. #14556576	C₂³	semidirect
244. #14556576	C₂³	semidirect
246. #14556575	C₂³	semidirect
247. #14556574	C₂³	semidirect
253. #14556573	C₂³	semidirect
254. #14556573	C₂³	semidirect
255. #14556573	C₂³	semidirect
257. #14556572	C₂³	semidirect
258. #14556572	C₂³	semidirect
259. #14556572	C₂³	semidirect
263. #14556571	C₂³	semidirect
264. #14556571	C₂³	semidirect
265. #14556571	C₂³	semidirect
267. #14556570	C₂³	semidirect
270. #14556569	C₂³	semidirect
271. #14556569	C₂³	semidirect
272. #14556569	C₂³	semidirect
275. #14556568	C₂³	semidirect
276. #14556568	C₂³	semidirect
280. #14556567	C₂³	semidirect
281. #14556567	C₂³	semidirect
282. #14556567	C₂³	semidirect
286. #14556566	C₂³	semidirect
287. #14556566	C₂³	semidirect
289. #14556565	C₂³	semidirect
294. #14556564	C₂³	semidirect
295. #14556564	C₂³	semidirect
298. #14556563	C₂³	semidirect
299. #14556563	C₂³	semidirect
307. #14556562	C₂³	semidirect
308. #14556562	C₂³	semidirect
312. #14556561	C₂³	semidirect
319. #14556559	C₂³	semidirect
320. Q₈×Dic₇₃	C₂³	semidirect
321. C₄×Dic₁₄₆	C₂³	semidirect
322. C₄×Dic₁₄₆	C₂³	semidirect
323. C₄×Dic₁₄₆	C₂³	semidirect
324. C₄×Dic₁₄₆	C₂³	semidirect
325. C₄×Dic₁₄₆	C₂³	semidirect
326. C₄×Dic₁₄₆	C₂³	semidirect
327. C₄×Dic₁₄₆	C₂³	semidirect
336. C₄×D₂₉₂	C₂³	semidirect
337. C₄×D₂₉₂	C₂³	semidirect
338. C₄×D₂₉₂	C₂³	semidirect
339. C₄×D₂₉₂	C₂³	semidirect
340. C₄×D₂₉₂	C₂³	semidirect
344. D₄×Dic₇₃	C₂³	semidirect
345. D₄×Dic₇₃	C₂³	semidirect
351. #14556553	C₂³	semidirect
352. #14556553	C₂³	semidirect
361. C₄×C₂²⋊D₇₃	C₂³	semidirect
362. C₄×C₂²⋊D₇₃	C₂³	semidirect
363. C₄×C₂²⋊D₇₃	C₂³	semidirect
364. C₄×C₂²⋊D₇₃	C₂³	semidirect
365. C₄×C₂²⋊D₇₃	C₂³	semidirect
366. C₄×C₂²⋊D₇₃	C₂³	semidirect
367. C₄×C₂²⋊D₇₃	C₂³	semidirect
372. #14556551	C₂³	semidirect
373. #14556551	C₂³	semidirect
374. #14556551	C₂³	semidirect
376. #14556550	C₂³	semidirect
377. #14556550	C₂³	semidirect
378. #14556550	C₂³	semidirect
379. #14556550	C₂³	semidirect
382. #14556549	C₂³	semidirect
383. #14556549	C₂³	semidirect
386. #14556548	C₂³	semidirect
387. #14556548	C₂³	semidirect
388. #14556548	C₂³	semidirect
389. #14556548	C₂³	semidirect
390. #14556547	C₂³	semidirect
392. C₂×C₄⋊Dic₇₃	C₂³	semidirect
396. C₄⋊C₄×D₇₃	C₂³	semidirect
397. C₄⋊C₄×D₇₃	C₂³	semidirect
398. C₄⋊C₄×D₇₃	C₂³	semidirect
399. C₄⋊C₄×D₇₃	C₂³	semidirect
400. C₄⋊C₄×D₇₃	C₂³	semidirect
404. C₂×#11924005	C₂³	semidirect
410. C₂²⋊C₄×D₇₃	C₂³	semidirect
411. C₂²⋊C₄×D₇₃	C₂³	semidirect
412. C₂²⋊C₄×D₇₃	C₂³	semidirect
420. C₄²×D₇₃	C₂³	semidirect
421. C₄²×D₇₃	C₂³	semidirect
423. C₂×#41×C₇₃	C₂³	semidirect
426. C₄⋊Q₈×C₇₃	C₂³	semidirect
428. #126×C₇₃	C₂³	semidirect
429. #125×C₇₃	C₂³	semidirect
431. #124×C₇₃	C₂³	semidirect
432. #123×C₇₃	C₂³	semidirect
433. #123×C₇₃	C₂³	semidirect
435. C₂²⋊Q₈×C₇₃	C₂³	semidirect
436. C₂²⋊Q₈×C₇₃	C₂³	semidirect
440. #121×C₇₃	C₂³	semidirect
441. #121×C₇₃	C₂³	semidirect
442. #121×C₇₃	C₂³	semidirect
444. C₄×Q₈×C₇₃	C₂³	semidirect
445. C₄×Q₈×C₇₃	C₂³	semidirect
450. C₄×D₄×C₇₃	C₂³	semidirect
451. C₄×D₄×C₇₃	C₂³	semidirect
452. C₄×D₄×C₇₃	C₂³	semidirect
454. #117×C₇₃	C₂³	semidirect
455. #117×C₇₃	C₂³	semidirect
459. C₂×C₄²×C₇₃	C₂³	semidirect
483. C₂×D₂₉₂	#41	semidirect
669. C₂²×D₇₃	C₂×#41	semidirect
690. C₂×C₄×C₇₃	C₂×#41	semidirect
728. D₂₉₂	C₂×#41	semidirect
749. C₄×D₇₃	H(5,𝔽₂)	semidirect
826. #3460	D₇₃	semidirect
832. C₇₃	#62773	semidirect
886. #544	C₂×D₇₃	semidirect
889. #542	C₂×D₇₃	semidirect
891. #540	C₂×D₇₃	semidirect
900. #538	C₂×D₇₃	semidirect
902. #537	C₂×D₇₃	semidirect
904. #535	C₂×D₇₃	semidirect
914. #532	C₂×D₇₃	semidirect
926. #529	C₂×D₇₃	semidirect
943. #525	C₂×D₇₃	semidirect
963. C₄×#41	C₂×D₇₃	semidirect
977. C₂×C₄×D₄	C₂×D₇₃	semidirect
995. C₂×#41	C₂²×D₇₃	semidirect
1027. C₄⋊Q₈	C₂²×D₇₃	semidirect
1040. #126	C₂²×D₇₃	semidirect
1048. #125	C₂²×D₇₃	semidirect
1058. #124	C₂²×D₇₃	semidirect
1079. #123	C₂²×D₇₃	semidirect
1080. #123	C₂²×D₇₃	semidirect
1105. C₂²⋊Q₈	C₂²×D₇₃	semidirect
1106. C₂²⋊Q₈	C₂²×D₇₃	semidirect
1136. #121	C₂²×D₇₃	semidirect
1137. #121	C₂²×D₇₃	semidirect
1138. #121	C₂²×D₇₃	semidirect
1159. C₄×Q₈	C₂²×D₇₃	semidirect
1160. C₄×Q₈	C₂²×D₇₃	semidirect
1212. C₄×D₄	C₂²×D₇₃	semidirect
1213. C₄×D₄	C₂²×D₇₃	semidirect
1214. C₄×D₄	C₂²×D₇₃	semidirect
1232. #117	C₂²×D₇₃	semidirect
1233. #117	C₂²×D₇₃	semidirect
1268. C₂×C₄²	C₂²×D₇₃	semidirect
1554. C₂×C₄	#41×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22623978	2
#22623961	2
#22623877	2
#22623869	2
#22623782	2
#22623769	2
#22623733	2
#22623694	2
#22623641	2
#22623638	2
#22623617	2
#22623565	2
#22623539	2
#22623537	2
#22623487	2
#22623417	2
#22623353	2
#22623338	2
#22623224	2
#525×D₇₃	2
C₄×#14556637	2
C₂×C₄×D₄×D₇₃	2
C₇₃×#3460	2
#62773	73