Finite Group Databasebeta

← #17195280

Subgroups — #17195280

Order 4352.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763282C211yesmaximal, characteristic
2#14531727C211yesmaximal, characteristic, complemented
3#14531721C211yesmaximal, characteristic, complemented
4#14531719C211yesmaximal, characteristic, complemented
5#14531719C211yesmaximal, characteristic, complemented
6#14531714C211yesmaximal, characteristic, complemented
7#14531712C211yesmaximal, characteristic, complemented
8#14531712C211yesmaximal, characteristic, complemented
9#14531706C211yesmaximal, characteristic, complemented
10#14531642C211yesmaximal, characteristic, complemented
11#14531642C211yesmaximal, characteristic, complemented
12#14531638C211yesmaximal, characteristic, complemented
13#14531638C211yesmaximal, characteristic, complemented
14#14531635C211yesmaximal, characteristic, complemented
15#14531633C211yesmaximal, characteristic, complemented
16#14531629C211yesmaximal, characteristic, complemented
17#14531419C211yesmaximal, characteristic, complemented
18#14531414C211yesmaximal, characteristic, complemented
19#14531414C211yesmaximal, characteristic, complemented
20#14531413C211yesmaximal, characteristic, complemented
21#14531395C211yesmaximal, characteristic, complemented
22#14531360C211yesmaximal, characteristic
23#14531230C211yesmaximal, characteristic, complemented
24#14531226C211yesmaximal, characteristic, complemented
25#14531226C211yesmaximal, characteristic, complemented
26#14531221C211yesmaximal, characteristic, complemented
27C2×#11762685C211yesmaximal, characteristic
28D17×#385C211yesmaximal, characteristic, complemented
29#14531136C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763282C4116yescomplemented
35C2×C4×C22⋊D17C2211yescharacteristic
36C2×C4×C22⋊D17C2211yescharacteristic
37C2×C4×C22⋊D17C2211yescharacteristic
38C2×C4×C22⋊D17C2211yescharacteristic
39C2×#10587567C2211yescharacteristic
40C2×#10587567C2211yescharacteristic
41C2×#10587567C2211yescharacteristic
42C2×#10587567C2211yescharacteristic
43C2×#10587612C2211yescharacteristic, complemented
44C2×#10587563C2211yescharacteristic
45C2×#10587563C2211yescharacteristic
46C2×#10587563C2211yescharacteristic, complemented
47C2×#10587563C2211yescharacteristic, complemented
48C2×C4⋊C4×D17C2211yescharacteristic, complemented
49C2×C4⋊C4×D17C2211yescharacteristic, complemented
50C22×C22⋊Dic17C2211yescharacteristic
51C22×C22⋊Dic17C2211yescharacteristic
52C22×#63227C2211yescharacteristic
53C2×C22⋊C4×D17C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic
55C2×C22⋊C4×D17C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57C2×C42×D17C2211yescharacteristic, complemented
58C2×C42×D17C2211yescharacteristic, complemented
59#11762703C2211yescharacteristic, complemented
60#11762703C2211yescharacteristic, complemented
61#11762703C2211yescharacteristic, complemented
62#11762703C2211yescharacteristic, complemented
63#11762702C2211yescharacteristic, complemented
64#11762702C2211yescharacteristic, complemented
65#11762702C2211yescharacteristic, complemented
66#11762702C2211yescharacteristic, complemented
67#11762697C2211yescharacteristic, complemented
68#11762697C2211yescharacteristic, complemented
69#11762697C2211yescharacteristic, complemented
70#11762697C2211yescharacteristic, complemented
71#11762696C2211yescharacteristic, complemented
72#11762696C2211yescharacteristic, complemented
73#11762696C2211yescharacteristic, complemented
74#11762696C2211yescharacteristic, complemented
75#11762693C2211yescharacteristic, complemented
76#11762693C2211yescharacteristic, complemented
77#11762693C2211yescharacteristic, complemented
78#11762693C2211yescharacteristic, complemented
79#11762691C2211yescharacteristic, complemented
80#11762691C2211yescharacteristic, complemented
81#11762691C2211yescharacteristic, complemented
82#11762691C2211yescharacteristic, complemented
83#11762690C2211yescharacteristic, complemented
84#11762690C2211yescharacteristic, complemented
85#11762690C2211yescharacteristic, complemented
86#11762690C2211yescharacteristic, complemented
87#11762685C2211yescharacteristic
88#11762685C2211yescharacteristic
89#11762685C2211yescharacteristic
90#11762685C2211yescharacteristic
91#11762685C2211yescharacteristic
92#11762685C2211yescharacteristic
93#11762685C2211yescharacteristic
94#11762685C2211yescharacteristic
95#11762685C2211yescharacteristic
96#11762685C2211yescharacteristic
97#11762685C2211yescharacteristic
98#11762685C2211yescharacteristic
99#11762685C2211yescharacteristic
100#11762685C2211yescharacteristic
101#11762685C2211yescharacteristic
102#11762685C2211yescharacteristic
103#11762684C2211yescharacteristic
104#11762684C2211yescharacteristic
105#11762683C2211yescharacteristic, complemented
106#11762683C2211yescharacteristic, complemented
107#11762683C2211yescharacteristic, complemented
108#11762683C2211yescharacteristic, complemented
109#11762682C2211yescharacteristic
110#11762682C2211yescharacteristic
111#11762681C2211yescharacteristic
112#11762681C2211yescharacteristic
113#11762680C2211yescharacteristic, complemented
114#11762680C2211yescharacteristic, complemented
115#11762680C2211yescharacteristic, complemented
116#11762680C2211yescharacteristic, complemented
117#11762676C2211yescharacteristic, complemented
118#11762676C2211yescharacteristic, complemented
119#11762676C2211yescharacteristic, complemented
120#11762676C2211yescharacteristic, complemented
121#11762674C2211yescharacteristic, complemented
122#11762674C2211yescharacteristic, complemented
123#11762673C2211yescharacteristic, complemented
124#11762673C2211yescharacteristic, complemented
125#11762672C2211yescharacteristic, complemented
126#11762670C2211yescharacteristic
127#11762670C2211yescharacteristic
128#11762670C2211yescharacteristic, complemented
129#11762670C2211yescharacteristic, complemented
130#11762669C2211yescharacteristic, complemented
131#11762668C2211yescharacteristic, complemented
132#11762668C2211yescharacteristic, complemented
133#11762667C2211yescharacteristic, complemented
134#11762667C2211yescharacteristic, complemented
135#11762666C2211yescharacteristic, complemented
136#11762666C2211yescharacteristic, complemented
137#11762665C2211yescharacteristic
138C4⋊C4×Dic17C2211yescharacteristic, complemented
139C4⋊C4×Dic17C2211yescharacteristic, complemented
140C4×#63225C2211yescharacteristic, complemented
141C4×#63225C2211yescharacteristic, complemented
142C22⋊C4×Dic17C2211yescharacteristic
143C22⋊C4×Dic17C2211yescharacteristic
144C22⋊C4×Dic17C2211yescharacteristic
145C22⋊C4×Dic17C2211yescharacteristic
146C22⋊C4×Dic17C2211yescharacteristic, complemented
147C22⋊C4×Dic17C2211yescharacteristic, complemented
148C4×#63227C2211yescharacteristic, complemented
149C4×#63227C2211yescharacteristic, complemented
150C4×#63227C2211yescharacteristic, complemented
151C4×#63227C2211yescharacteristic, complemented
152C4×#63227C2211yescharacteristic, complemented
153C4×#63227C2211yescharacteristic, complemented
154C4×C22⋊Dic17C2211yescharacteristic
155C4×C22⋊Dic17C2211yescharacteristic
156C4×C22⋊Dic17C2211yescharacteristic, complemented
157#11762656C2211yescharacteristic, complemented
158#11762656C2211yescharacteristic, complemented
159#11762656C2211yescharacteristic, complemented
160#11762656C2211yescharacteristic, complemented
161#11762656C2211yescharacteristic, complemented
162#11762656C2211yescharacteristic, complemented
163#11762655C2211yescharacteristic, complemented
164#11762655C2211yescharacteristic, complemented
165#11762654C2211yescharacteristic, complemented
166#11762654C2211yescharacteristic, complemented
167C2×#10587502C2211yescharacteristic
168C2×#10587502C2211yescharacteristic
169#95×D17C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173C2×C17×#117C2211yescharacteristic, complemented
174C22×C22⋊C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C17×#388C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#385C2211yescharacteristic
181C17×#385C2211yescharacteristic
182C17×#381C2211yescharacteristic, complemented
183C17×#380C2211yescharacteristic, complemented
184C17×#379C2211yescharacteristic
185C4×C22⋊C4×C17C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17—24no—
195C22×C22⋊D17—24no—
196C22×C22⋊D17C2×C418yes—
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C22×C4×D17—24no—
207C22×C4×D17—42no—
208C22×C4×D17—42no—
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C17×#117—42no—
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17—42no—
227C2×C22⋊C4×C17C2×C418yescomplemented
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C22⋊Dic17—42no—
247C2×C22⋊Dic17C2×C418yescomplemented
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C4×C22⋊D17C2×C418yescomplemented
263C4×C22⋊D17C2×C418yescomplemented
264C4×C22⋊D17C2×C418yescomplemented
265C4×C22⋊D17C2×C418yescomplemented
266C2×#63227—24no—
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279#10587612—42no—
280C2×C4⋊Dic17C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×C4×Dic17C2311yescharacteristic
297C2×C4×Dic17C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C4⋊C4×D17—42no—
313C4⋊C4×D17—42no—
314#10587567C2×C418yescomplemented
315#10587567C2×C418yescomplemented
316#10587567C2×C418yescomplemented
317#10587567C2×C418yescomplemented
318C22⋊C4×D17—24no—
319C22⋊C4×D17—24no—
320C22⋊C4×D17C2×C418yes—
321C22⋊C4×D17C2×C418yes—
322#10587563—42no—
323#10587563—42no—
324#10587563C2×C418yescomplemented
325#10587563C2×C418yescomplemented
326C42×D17—42no—
327C42×D17—42no—
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C22×C414yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17C22×C414yes—
391C23×D17#4114yes—
392C23×D17#4114yes—
393C23×D17C2411yescharacteristic
394C23×D17C2411yescharacteristic
395C22×C4×C17—22no—
396C22×C4×C17—22no—
397C22×C4×C17—22no—
398C22×C4×C17—41no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17C22×C414yescomplemented
406C22×C4×C17C22×C414yescomplemented
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C2×C22⋊D17—232no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17C22×C414yes—
429C2×C22⋊D17C22×C414yes—
430C2×C22⋊D17C22×C414yes—
431C2×C22⋊D17C22×C414yes—
432C22×Dic17—22no—
433C22×Dic17—22no—
434C22×Dic17—22no—
435C22×Dic17—22no—
436C22×Dic17—22no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17—41no—
440C22×Dic17—41no—
441C22×Dic17—41no—
442C22×Dic17—41no—
443C22×Dic17—41no—
444C22×Dic17C22×C414yes—
445C22×Dic17C22×C414yescomplemented
446C22×Dic17C22×C414yescomplemented
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—416no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×C4×D17C22×C414yes—
495C2×C4×D17C22×C414yes—
496C2×C4×D17C22×C414yes—
497C2×C4×D17C22×C414yes—
498C4⋊C4×C17—22no—
499C4⋊C4×C17—41no—
500C4⋊C4×C17—41no—
501C4⋊C4×C17—41no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—22no—
505C22⋊C4×C17—22no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17C22×C414yes—
513C22⋊C4×C17C22×C414yes—
514C22⋊C4×C17C22×C414yescomplemented
515C22⋊C4×C17C22×C414yescomplemented
516C42×C17—22no—
517C42×C17—41no—
518C42×C17—41no—
519C42×C17—41no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—22no—
523C22⋊Dic17—22no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17C22×C414yes—
531C22⋊Dic17C22×C414yes—
532C22⋊Dic17C22×C414yescomplemented
533C22⋊Dic17C22×C414yescomplemented
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—22no—
538#63227—22no—
539#63227—22no—
540#63227—22no—
541#63227—22no—
542#63227C22×C414yes—
543#63227C22×C414yes—
544#63227C22×C414yes—
545#63227C22×C414yes—
546C4⋊Dic17—22no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550#63225—22no—
551#63225—22no—
552#63225—41no—
553#63225—41no—
554#63225—41no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225C22×C414yescomplemented
559#63225C22×C414yescomplemented
560#63225C22×C414yescomplemented
561#63225C22×C414yescomplemented
562C4×Dic17—22no—
563C4×Dic17—22no—
564C4×Dic17—22no—
565C4×Dic17—41no—
566C4×Dic17—41no—
567C4×Dic17—41no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573C4×Dic17—41no—
574C4×Dic17C22×C414yescomplemented
575C4×Dic17C22×C414yescomplemented
576C4×Dic17C22×C414yescomplemented
577C4×Dic17C22×C414yescomplemented
578#34251—171nomaximal, Sylow
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—28no—
596C23×C17—44no—
597C23×C17—44no—
598C23×C17—82no—
599C23×C17—82no—
600C23×C17—82no—
601C23×C17—82no—
602C23×C17C23×C412yes—
603C23×C17C23×C412yes—
604C23×C17C23×C412yes—
605C23×C17C2×#4112yes—
606C23×C17C2×#4112yes—
607C23×C17C2511yescharacteristic
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—44no—
617C22×D17—44no—
618C22×D17—44no—
619C22×D17—44no—
620C22×D17—44no—
621C22×D17—44no—
622C22×D17#117116yescomplemented
623C22×D17C23×C412yes—
624C22×D17C23×C412yes—
625C22×D17C2×#4112yes—
626C22×D17C2×#4112yes—
627C22×D17C2×#4112yes—
628C22×D17C2×#4112yes—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—44no—
661C2×C4×C17—44no—
662C2×C4×C17—44no—
663C2×C4×C17—82no—
664C2×C4×C17C23×C412yes—
665C2×C4×C17C23×C412yes—
666C2×C4×C17C23×C412yes—
667C2×C4×C17C23×C412yes—
668C2×C4×C17H(5,𝔽2)12yes—
669C22⋊D17—28no—
670C22⋊D17—28no—
671C22⋊D17—28no—
672C22⋊D17—28no—
673C2×Dic17—28no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—44no—
710C2×Dic17—44no—
711C2×Dic17—44no—
712C2×Dic17—82no—
713C2×Dic17C23×C412yes—
714C2×Dic17C23×C412yes—
715C2×Dic17C23×C412yes—
716C2×Dic17C23×C412yes—
717C2×Dic17C23×C412yes—
718C2×Dic17C23×C412yes—
719C2×Dic17H(5,𝔽2)12yes—
720C4×D17—28no—
721C4×D17—44no—
722C4×D17—44no—
723C4×D17—44no—
724C4×D17—44no—
725C4×D17—44no—
726C4×D17—44no—
727C4×D17—44no—
728C4×D17—44no—
729C4×D17—44no—
730C4×D17—82no—
731C4×D17—82no—
732C2×#518—171no—
733#2353—171no—
734#2353—171no—
735#2353—171no—
736#2353—171no—
737#2352—171no—
738#2352—171no—
739#2352—171no—
740#2352—171no—
741#2343—171no—
742#2343—171no—
743#2343—171no—
744#2343—171no—
745#2342—171no—
746#2342—171no—
747#2342—171no—
748#2342D1711yescharacteristic, complemented
749#2318—171no—
750#2318—171no—
751#2318—171no—
752#2318—171no—
753#2315—171no—
754#2308—171no—
755#2290—171no—
756#2290—171no—
757#2290—171no—
758#2290—171no—
759C2×#386—171no—
760C2×#385—171no—
761#2273—171no—
762C2×C4×C22⋊C4—171no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
770C22×C17—22no—
771C22×C17—22no—
772C22×C17—22no—
773C22×C17—22no—
774C22×C17—22no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—88no—
784C22×C17C2×#11714yes—
785C22×C17C24×C411yescharacteristic
786C22×C17C22×#4111yescharacteristic
787C22×C17C22×#4111yescharacteristic
788C22×C17C2×H(5,𝔽2)11yescharacteristic
789C22×C17C2×H(5,𝔽2)11yescharacteristic
790C22×C17#58511yescharacteristic
791C22×C17#58511yescharacteristic
792C2×D17—22no—
793C2×D17—22no—
794C2×D17—22no—
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—22no—
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—22no—
804C2×D17—416no—
805C2×D17C2×#11714yes—
806C2×D17C2×#11714yes—
807C4×C17—22no—
808C4×C17—22no—
809C4×C17—22no—
810C4×C17—22no—
811C4×C17—22no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819Dic17—22no—
820Dic17—22no—
821Dic17—22no—
822Dic17—22no—
823Dic17—22no—
824Dic17—22no—
825Dic17—22no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833C23×D4—171no—
834C24×C4—171no—
835#518—1716no—
836C2×C4×D4—171no—
837C2×C4×D4—171no—
838C2×C4×D4—171no—
839C2×C4×D4—171no—
840C2×C4×D4—171no—
841C2×C4×D4—171no—
842C2×C4×D4—171no—
843C2×C4×D4—171no—
844C2×#117—171no—
845C2×#117—171no—
846C2×#117—171no—
847C2×#117—171no—
848C2×#117—171no—
849C2×#117C2×D1711yescharacteristic, complemented
850C22×C4⋊C4—171no—
851C22×C4⋊C4—171no—
852C22×C22⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4—171no—
855C22×C22⋊C4—171no—
856C22×C22⋊C4—171no—
857C22×C22⋊C4—171no—
858C22×C22⋊C4—171no—
859C22×C22⋊C4C2×D1711yescharacteristic
860C22×C22⋊C4C2×D1711yescharacteristic
861C22×C42—171no—
862C22×C42—171no—
863#388—171no—
864#388—171no—
865#388—171no—
866#388—171no—
867#388—171no—
868#388—171no—
869#388—171no—
870#388—171no—
871#388—171no—
872#388—171no—
873#388—171no—
874#388—171no—
875#388C2×D1711yescharacteristic, complemented
876#388C2×D1711yescharacteristic, complemented
877#388C2×D1711yescharacteristic, complemented
878#388C2×D1711yescharacteristic, complemented
879#387—171no—
880#387—171no—
881#387—171no—
882#387—171no—
883#387—171no—
884#387—171no—
885#387—171no—
886#387—171no—
887#387—171no—
888#387—171no—
889#387—171no—
890#387—171no—
891#387—171no—
892#387—171no—
893#387—171no—
894#387—171no—
895#386—171no—
896#386—171no—
897#386—171no—
898#386—171no—
899#386—171no—
900#386—171no—
901#386—171no—
902#386—171no—
903#386—171no—
904#386—171no—
905#386—171no—
906#386—171no—
907#386—171no—
908#386—171no—
909#386—171no—
910#386—171no—
911#385—171no—
912#385—171no—
913#385—171no—
914#385—171no—
915#385—171no—
916#385—171no—
917#385—171no—
918#385—171no—
919#385—171no—
920#385—171no—
921#385—171no—
922#385—171no—
923#385—171no—
924#385—171no—
925#385C2×D1711yescharacteristic
926#385C2×D1711yescharacteristic
927#383—171no—
928#383—171no—
929#383—171no—
930#383—171no—
931#382—171no—
932#382—171no—
933#382—171no—
934#382—171no—
935#381—171no—
936#381—171no—
937#381—171no—
938#381—171no—
939#381—171no—
940#381C2×D1711yescharacteristic, complemented
941#380—171no—
942#380—171no—
943#380—171no—
944#380—171no—
945#380—171no—
946#380—171no—
947#380—171no—
948#380C2×D1711yescharacteristic, complemented
949#379—171no—
950#379C2×D1711yescharacteristic
951C4×C4⋊C4—171no—
952C4×C4⋊C4—171no—
953C4×C4⋊C4—171no—
954C4×C4⋊C4—171no—
955C4×C22⋊C4—171no—
956C4×C22⋊C4—171no—
957C4×C22⋊C4—171no—
958C4×C22⋊C4—171no—
959C4×C22⋊C4—171no—
960C4×C22⋊C4—171no—
961C4×C22⋊C4—171no—
962C4×C22⋊C4—171no—
963C4×C22⋊C4—171no—
964C4×C22⋊C4—171no—
965C4×C22⋊C4—171no—
966C4×C22⋊C4—171no—
967C4×C22⋊C4—171no—
968C4×C22⋊C4—171no—
969C4×C22⋊C4—171no—
970C4×C22⋊C4—171no—
971C4×C22⋊C4—171no—
972C4×C22⋊C4—171no—
973C4×C22⋊C4—171no—
974C4×C22⋊C4—171no—
975C4×C22⋊C4—171no—
976C4×C22⋊C4C2×D1711yescharacteristic
977C4×C22⋊C4C2×D1711yescharacteristic
978C4×C22⋊C4C2×D1711yescharacteristic, complemented
979#376—171no—
980#376—171no—
981#376—171no—
982#376—171no—
983C2×#95—171no—
984C2×#95—171no—
985C2×#95—171no—
986C2×#95—171no—
987C2×#95—171no—
988C2×#95—171no—
989C2×C17—24no—
990C2×C17—42no—
991C2×C17—42no—
992C2×C17C22×#11711yescharacteristic
993C2×C17C4×H(5,𝔽2)11yescharacteristic
994C2×C17C4×H(5,𝔽2)11yescharacteristic
995C2×C17#349011yescharacteristic
996C2×C17#349111yescharacteristic
997C2×C17#350511yescharacteristic
998C2×C17#350511yescharacteristic
999D17—24no—
1000D17—24no—
1001C25—171no—
1002C25C22×D1711yescharacteristic
1003C22×D4—178no—
1004C22×D4—171no—
1005C22×D4—171no—
1006C22×D4—171no—
1007C22×D4—171no—
1008C22×D4—344no—
1009C22×D4—344no—
1010C23×C4—171no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—171no—
1017C23×C4—171no—
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—344no—
1028C23×C4—682no—
1029C23×C4—682no—
1030C23×C4C22×D1711yescharacteristic
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033C23×C4C22×D1711yescharacteristic
1034C4×D4—178no—
1035C4×D4—178no—
1036C4×D4—178no—
1037C4×D4—178no—
1038C4×D4—178no—
1039C4×D4—178no—
1040C4×D4—178no—
1041C4×D4—178no—
1042#117—42no—
1043#117—178no—
1044#117—178no—
1045#117—682no—
1046#117—682no—
1047#117—682no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—682no—
1065C2×C4⋊C4—682no—
1066C2×C4⋊C4C22×D1711yescharacteristic
1067C2×C4⋊C4C22×D1711yescharacteristic
1068C2×C4⋊C4C22×D1711yescharacteristic
1069C2×C4⋊C4C22×D1711yescharacteristic
1070C2×C22⋊C4—42no—
1071C2×C22⋊C4—178no—
1072C2×C22⋊C4—171no—
1073C2×C22⋊C4—171no—
1074C2×C22⋊C4—171no—
1075C2×C22⋊C4—171no—
1076C2×C22⋊C4—171no—
1077C2×C22⋊C4—171no—
1078C2×C22⋊C4—171no—
1079C2×C22⋊C4—171no—
1080C2×C22⋊C4—178no—
1081C2×C22⋊C4—178no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—344no—
1101C2×C22⋊C4—344no—
1102C2×C22⋊C4—344no—
1103C2×C22⋊C4—682no—
1104C2×C22⋊C4C4×D1718yescomplemented
1105C2×C22⋊C4C22×D1711yescharacteristic
1106C2×C22⋊C4C22×D1711yescharacteristic
1107C2×C22⋊C4C22×D1711yescharacteristic
1108C2×C22⋊C4C22×D1711yescharacteristic
1109C2×C22⋊C4C22×D1711yescharacteristic
1110C2×C22⋊C4C22×D1711yescharacteristic
1111C2×C22⋊C4C22×D1711yescharacteristic
1112C2×C22⋊C4C22×D1711yescharacteristic
1113C2×C22⋊C4C22×D1711yescharacteristic
1114C2×C22⋊C4C22×D1711yescharacteristic
1115C2×C22⋊C4C22×D1711yescharacteristic
1116C2×C22⋊C4C22×D1711yescharacteristic
1117C2×C22⋊C4C22×D1711yescharacteristic
1118C2×C22⋊C4C22×D1711yescharacteristic
1119C2×C42—171no—
1120C2×C42—171no—
1121C2×C42—171no—
1122C2×C42—171no—
1123C2×C42—171no—
1124C2×C42—171no—
1125C2×C42—171no—
1126C2×C42—171no—
1127C2×C42—171no—
1128C2×C42—171no—
1129C2×C42—171no—
1130C2×C42—171no—
1131C2×C42—171no—
1132C2×C42—171no—
1133C2×C42—171no—
1134C2×C42—171no—
1135C2×C42—682no—
1136C2×C42—682no—
1137C2×C42C22×D1711yescharacteristic
1138C2×C42C22×D1711yescharacteristic
1139C2×C42C22×D1711yescharacteristic
1140C2×C42C22×D1711yescharacteristic
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95C22×D1711yescharacteristic
1182#95C22×D1711yescharacteristic
1183#95C22×D1711yescharacteristic
1184#95C22×D1711yescharacteristic
1185#95C22×D1711yescharacteristic
1186#95C22×D1711yescharacteristic
1187#95C22×D1711yescharacteristic
1188#95C22×D1711yescharacteristic
1189C17#3425111yescharacteristic, complemented, Sylow
1190C24—22no—
1191C24—22no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24—171no—
1197C24—171no—
1198C24—174no—
1199C24—174no—
1200C24—174no—
1201C24—681no—
1202C24—681no—
1203C24—681no—
1204C24—681no—
1205C24C2×C4×D1714yes—
1206C24C23×D1711yescharacteristic
1207C24C23×D1711yescharacteristic
1208C24C23×D1711yescharacteristic
1209C2×D4—174no—
1210C2×D4—174no—
1211C2×D4—174no—
1212C2×D4—174no—
1213C2×D4—3432no—
1214C2×D4—342no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—342no—
1218C2×D4—342no—
1219C2×D4—342no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—174no—
1233C22×C4—171no—
1234C22×C4—171no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—171no—
1238C22×C4—171no—
1239C22×C4—171no—
1240C22×C4—174no—
1241C22×C4—174no—
1242C22×C4—174no—
1243C22×C4—174no—
1244C22×C4—174no—
1245C22×C4—174no—
1246C22×C4—171no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—171no—
1253C22×C4—342no—
1254C22×C4—342no—
1255C22×C4—342no—
1256C22×C4—342no—
1257C22×C4—342no—
1258C22×C4—342no—
1259C22×C4—342no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—681no—
1271C22×C4—681no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—6816no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4C2×C4×D1714yescomplemented
1299C22×C4C2×C4×D1714yescomplemented
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C22×C4C23×D1711yescharacteristic
1305C22×C4C23×D1711yescharacteristic
1306C22×C4C23×D1711yescharacteristic
1307C22×C4C23×D1711yescharacteristic
1308C22×C4C23×D1711yescharacteristic
1309C22×C4C23×D1711yescharacteristic
1310C22×C4C23×D1711yescharacteristic
1311C22×C4C23×D1711yescharacteristic
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—174no—
1317C4⋊C4—174no—
1318C4⋊C4—174no—
1319C4⋊C4—174no—
1320C4⋊C4—342no—
1321C4⋊C4—342no—
1322C4⋊C4—342no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C4⋊C4—681no—
1328C4⋊C4—681no—
1329C4⋊C4—681no—
1330C4⋊C4—681no—
1331C4⋊C4—681no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—174no—
1343C22⋊C4—174no—
1344C22⋊C4—174no—
1345C22⋊C4—174no—
1346C22⋊C4—174no—
1347C22⋊C4—174no—
1348C22⋊C4—174no—
1349C22⋊C4—174no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
1356C22⋊C4—342no—
1357C22⋊C4—342no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
1360C22⋊C4—342no—
1361C22⋊C4—342no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4C2×C4×D1714yes—
1369C22⋊C4C2×C4×D1714yes—
1370C22⋊C4C2×C4×D1714yescomplemented
1371C22⋊C4C2×C4×D1714yescomplemented
1372C42—22no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—174no—
1377C42—174no—
1378C42—174no—
1379C42—174no—
1380C42—342no—
1381C42—342no—
1382C42—342no—
1383C42—681no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
1387C42—681no—
1388C42—681no—
1389C42—681no—
1390C42—681no—
1391C42—681no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—28no—
1409C23—44no—
1410C23—44no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—172no—
1416C23—172no—
1417C23—172no—
1418C23—172no—
1419C23—172no—
1420C23—172no—
1421C23—1716no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—684no—
1431C23—684no—
1432C23—684no—
1433C23—684no—
1434C23—684no—
1435C23—684no—
1436C23C22×C4×D1712yes—
1437C23C22×C4×D1712yes—
1438C23C22×C4×D1712yes—
1439C23#41×D1712yes—
1440C23#41×D1712yes—
1441C23C24×D1711yescharacteristic
1442D4—348no—
1443D4—348no—
1444D4—348no—
1445D4—348no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—82no—
1481C2×C4—172no—
1482C2×C4—172no—
1483C2×C4—172no—
1484C2×C4—172no—
1485C2×C4—172no—
1486C2×C4—172no—
1487C2×C4—172no—
1488C2×C4—348no—
1489C2×C4—348no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—684no—
1526C2×C4—684no—
1527C2×C4—684no—
1528C2×C4—684no—
1529C2×C4—684no—
1530C2×C4—684no—
1531C2×C4—684no—
1532C2×C4—684no—
1533C2×C4—684no—
1534C2×C4—684no—
1535C2×C4—684no—
1536C2×C4—684no—
1537C2×C4—1362no—
1538C2×C4—1362no—
1539C2×C4—1362no—
1540C2×C4C22×C4×D1712yes—
1541C2×C4C22×C4×D1712yes—
1542C2×C4C22×C4×D1712yes—
1543C2×C4C22×C4×D1712yes—
1544C2×C4#1058769112yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—88no—
1566C22—174no—
1567C22—174no—
1568C22—342no—
1569C22—342no—
1570C22—342no—
1571C22—342no—
1572C22—342no—
1573C22—342no—
1574C22—342no—
1575C22—342no—
1576C22—342no—
1577C22—342no—
1578C22—342no—
1579C22—342no—
1580C22—6816no—
1581C22#117×D1714yes—
1582C22C23×C4×D1711yescharacteristic
1583C22C2×#41×D1711yescharacteristic
1584C22C2×#41×D1711yescharacteristic
1585C22H(5,𝔽2)×D1711yescharacteristic
1586C22C2×#1058769111yescharacteristic
1587C22#1176364411yescharacteristic
1588C22#1176364511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—342no—
1602C4—342no—
1603C4—342no—
1604C4—342no—
1605C4—342no—
1606C4—342no—
1607C4—342no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C2—24no—
1616C2—42no—
1617C2—42no—
1618C2—344no—
1619C2—344no—
1620C2C2×#117×D1711yescharacteristic
1621C2#1454198811yescharacteristic
1622C2C4×#1058769111yescharacteristic
1623C2#1454246611yescharacteristic
1624C2#1454247511yescharacteristic
1625C2#1454261111yescharacteristic
1626C2#1454261511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2342C2
socle, cosocleC23×C17C25
prime radicalC23×C22⋊D17C22
hypercenter#2342D17
hypocenterC17#34251
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #14531727C2semidirect
3. #14531721C2semidirect
4. #14531719C2semidirect
5. #14531719C2semidirect
6. #14531714C2semidirect
7. #14531712C2semidirect
8. #14531712C2semidirect
9. #14531706C2semidirect
10. #14531642C2semidirect
11. #14531642C2semidirect
12. #14531638C2semidirect
13. #14531638C2semidirect
14. #14531635C2semidirect
15. #14531633C2semidirect
16. #14531629C2semidirect
17. #14531419C2semidirect
18. #14531414C2semidirect
19. #14531414C2semidirect
20. #14531413C2semidirect
21. #14531395C2semidirect
23. #14531230C2semidirect
24. #14531226C2semidirect
25. #14531226C2semidirect
26. #14531221C2semidirect
28. D17×#385C2semidirect
29. #14531136C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2342C2semidirect
34. #11763282C4semidirect
43. C2×#10587612C22semidirect
46. C2×#10587563C22semidirect
47. C2×#10587563C22semidirect
48. C2×C4⋊C4×D17C22semidirect
49. C2×C4⋊C4×D17C22semidirect
57. C2×C42×D17C22semidirect
58. C2×C42×D17C22semidirect
59. #11762703C22semidirect
60. #11762703C22semidirect
61. #11762703C22semidirect
62. #11762703C22semidirect
63. #11762702C22semidirect
64. #11762702C22semidirect
65. #11762702C22semidirect
66. #11762702C22semidirect
67. #11762697C22semidirect
68. #11762697C22semidirect
69. #11762697C22semidirect
70. #11762697C22semidirect
71. #11762696C22semidirect
72. #11762696C22semidirect
73. #11762696C22semidirect
74. #11762696C22semidirect
75. #11762693C22semidirect
76. #11762693C22semidirect
77. #11762693C22semidirect
78. #11762693C22semidirect
79. #11762691C22semidirect
80. #11762691C22semidirect
81. #11762691C22semidirect
82. #11762691C22semidirect
83. #11762690C22semidirect
84. #11762690C22semidirect
85. #11762690C22semidirect
86. #11762690C22semidirect
105. #11762683C22semidirect
106. #11762683C22semidirect
107. #11762683C22semidirect
108. #11762683C22semidirect
113. #11762680C22semidirect
114. #11762680C22semidirect
115. #11762680C22semidirect
116. #11762680C22semidirect
117. #11762676C22semidirect
118. #11762676C22semidirect
119. #11762676C22semidirect
120. #11762676C22semidirect
121. #11762674C22semidirect
122. #11762674C22semidirect
123. #11762673C22semidirect
124. #11762673C22semidirect
125. #11762672C22semidirect
128. #11762670C22semidirect
129. #11762670C22semidirect
130. #11762669C22semidirect
131. #11762668C22semidirect
132. #11762668C22semidirect
133. #11762667C22semidirect
134. #11762667C22semidirect
135. #11762666C22semidirect
136. #11762666C22semidirect
138. C4⋊C4×Dic17C22semidirect
139. C4⋊C4×Dic17C22semidirect
140. C4×#63225C22semidirect
141. C4×#63225C22semidirect
146. C22⋊C4×Dic17C22semidirect
147. C22⋊C4×Dic17C22semidirect
148. C4×#63227C22semidirect
149. C4×#63227C22semidirect
150. C4×#63227C22semidirect
151. C4×#63227C22semidirect
152. C4×#63227C22semidirect
153. C4×#63227C22semidirect
156. C4×C22⋊Dic17C22semidirect
157. #11762656C22semidirect
158. #11762656C22semidirect
159. #11762656C22semidirect
160. #11762656C22semidirect
161. #11762656C22semidirect
162. #11762656C22semidirect
163. #11762655C22semidirect
164. #11762655C22semidirect
165. #11762654C22semidirect
166. #11762654C22semidirect
169. #95×D17C22semidirect
170. #95×D17C22semidirect
171. #95×D17C22semidirect
172. #95×D17C22semidirect
173. C2×C17×#117C22semidirect
176. C17×#388C22semidirect
177. C17×#388C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
182. C17×#381C22semidirect
183. C17×#380C22semidirect
187. C4×C22⋊C4×C17C22semidirect
227. C2×C22⋊C4×C17C2×C4semidirect
247. C2×C22⋊Dic17C2×C4semidirect
262. C4×C22⋊D17C2×C4semidirect
263. C4×C22⋊D17C2×C4semidirect
264. C4×C22⋊D17C2×C4semidirect
265. C4×C22⋊D17C2×C4semidirect
314. #10587567C2×C4semidirect
315. #10587567C2×C4semidirect
316. #10587567C2×C4semidirect
317. #10587567C2×C4semidirect
324. #10587563C2×C4semidirect
325. #10587563C2×C4semidirect
405. C22×C4×C17C22×C4semidirect
406. C22×C4×C17C22×C4semidirect
445. C22×Dic17C22×C4semidirect
446. C22×Dic17C22×C4semidirect
514. C22⋊C4×C17C22×C4semidirect
515. C22⋊C4×C17C22×C4semidirect
532. C22⋊Dic17C22×C4semidirect
533. C22⋊Dic17C22×C4semidirect
558. #63225C22×C4semidirect
559. #63225C22×C4semidirect
560. #63225C22×C4semidirect
561. #63225C22×C4semidirect
574. C4×Dic17C22×C4semidirect
575. C4×Dic17C22×C4semidirect
576. C4×Dic17C22×C4semidirect
577. C4×Dic17C22×C4semidirect
622. C22×D17#117semidirect
748. #2342D17semidirect
849. C2×#117C2×D17semidirect
875. #388C2×D17semidirect
876. #388C2×D17semidirect
877. #388C2×D17semidirect
878. #388C2×D17semidirect
940. #381C2×D17semidirect
948. #380C2×D17semidirect
978. C4×C22⋊C4C2×D17semidirect
1104. C2×C22⋊C4C4×D17semidirect
1189. C17#34251semidirect
1298. C22×C4C2×C4×D17semidirect
1299. C22×C4C2×C4×D17semidirect
1370. C22⋊C4C2×C4×D17semidirect
1371. C22⋊C4C2×C4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117632822
#145317272
#145317212
#145317192
#145317142
#145317122
#145317062
#145316422
#145316382
#145316352
#145316332
#145316292
#145314192
#145314142
#145314132
#145313952
#145313602
#145312302
#145312262
#145312212
C2×#117626852
D17×#3852
#145311362
C4×C22⋊C4×D172
C17×#23422
#3425117