Finite Group Databasebeta

← #17243231

Subgroups — #17243231

Order 4352.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537079C211yesmaximal, characteristic, complemented
2#14537067C211yesmaximal, characteristic, complemented
3#14536642C211yesmaximal, characteristic, complemented
4#14536498C211yesmaximal, characteristic, complemented
5#14536112C211yesmaximal, characteristic, complemented
6#14536067C211yesmaximal, characteristic, complemented
7#14536047C211yesmaximal, characteristic, complemented
8#14536014C211yesmaximal, characteristic, complemented
9#14535879C211yesmaximal, characteristic, complemented
10#14535516C211yesmaximal, characteristic, complemented
11#14535516C211yesmaximal, characteristic, complemented
12#14535474C211yesmaximal, characteristic, complemented
13#14535426C211yesmaximal, characteristic, complemented
14#14535370C211yesmaximal, characteristic, complemented
15#14535227C211yesmaximal, characteristic, complemented
16#14535053C211yesmaximal, characteristic, complemented
17#14535053C211yesmaximal, characteristic, complemented
18#14535027C211yesmaximal, characteristic, complemented
19#14534562C211yesmaximal, characteristic, complemented
20#14534521C211yesmaximal, characteristic, complemented
21#14533744C211yesmaximal, characteristic, complemented
22#14532421C211yesmaximal, characteristic, complemented
23#14532318C211yesmaximal, characteristic, complemented
24#14532318C211yesmaximal, characteristic, complemented
25#14532252C211yesmaximal, characteristic, complemented
26#14532252C211yesmaximal, characteristic, complemented
27#14532141C211yesmaximal, characteristic, complemented
28#14531484C211yesmaximal, characteristic, complemented
29#14531411C211yesmaximal, characteristic, complemented
30C2×#11762687C211yesmaximal, characteristic, complemented
31C17×#2569C211yesmaximal, characteristic, complemented
32C23×D68C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587560C2211yescharacteristic
35C2×#10587560C2211yescharacteristic
36C2×#10587580C2211yescharacteristic, complemented
37C2×#10587580C2211yescharacteristic, complemented
38C2×#10587580C2211yescharacteristic, complemented
39C2×#10587580C2211yescharacteristic, complemented
40C2×#10587581C2211yescharacteristic
41C2×#10587581C2211yescharacteristic
42C2×#10587581C2211yescharacteristic, complemented
43C2×#10587581C2211yescharacteristic, complemented
44C2×#10587581C2211yescharacteristic, complemented
45C2×#10587581C2211yescharacteristic, complemented
46C2×#10587616C2211yescharacteristic
47C2×#10587616C2211yescharacteristic
48C2×#10587616C2211yescharacteristic
49C2×#10587568C2211yescharacteristic
50C2×#10587568C2211yescharacteristic
51C2×#10587568C2211yescharacteristic
52C2×#10587568C2211yescharacteristic
53C2×#10587568C2211yescharacteristic
54C2×#10587568C2211yescharacteristic
55C2×C4×C22⋊D17C2211yescharacteristic
56C2×#10587567C2211yescharacteristic
57C2×#10587567C2211yescharacteristic
58C22×#63227C2211yescharacteristic
59C22×#63227C2211yescharacteristic
60C22×#63227C2211yescharacteristic
61#11762744C2211yescharacteristic, complemented
62#11762744C2211yescharacteristic, complemented
63#11762741C2211yescharacteristic, complemented
64#11762738C2211yescharacteristic, complemented
65#11762738C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762738C2211yescharacteristic, complemented
68#11762736C2211yescharacteristic, complemented
69#11762736C2211yescharacteristic, complemented
70#11762736C2211yescharacteristic, complemented
71#11762735C2211yescharacteristic, complemented
72#11762735C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic, complemented
74#11762731C2211yescharacteristic, complemented
75#11762727C2211yescharacteristic
76#11762727C2211yescharacteristic
77#11762727C2211yescharacteristic, complemented
78#11762727C2211yescharacteristic, complemented
79#11762727C2211yescharacteristic, complemented
80#11762727C2211yescharacteristic, complemented
81#11762727C2211yescharacteristic, complemented
82#11762727C2211yescharacteristic, complemented
83#11762727C2211yescharacteristic, complemented
84#11762726C2211yescharacteristic, complemented
85#11762726C2211yescharacteristic, complemented
86#11762726C2211yescharacteristic, complemented
87#11762726C2211yescharacteristic, complemented
88#11762726C2211yescharacteristic, complemented
89#11762726C2211yescharacteristic, complemented
90#11762726C2211yescharacteristic, complemented
91#11762726C2211yescharacteristic, complemented
92#11762726C2211yescharacteristic, complemented
93#11762726C2211yescharacteristic, complemented
94#11762719C2211yescharacteristic
95#11762719C2211yescharacteristic
96#11762719C2211yescharacteristic
97#11762719C2211yescharacteristic
98#11762719C2211yescharacteristic
99#11762719C2211yescharacteristic
100#11762719C2211yescharacteristic, complemented
101#11762719C2211yescharacteristic, complemented
102#11762719C2211yescharacteristic, complemented
103#11762719C2211yescharacteristic, complemented
104#11762719C2211yescharacteristic, complemented
105#11762711C2211yescharacteristic
106#11762711C2211yescharacteristic
107#11762710C2211yescharacteristic
108#11762710C2211yescharacteristic
109#11762710C2211yescharacteristic, complemented
110#11762710C2211yescharacteristic, complemented
111#11762701C2211yescharacteristic, complemented
112#11762701C2211yescharacteristic, complemented
113#11762701C2211yescharacteristic, complemented
114#11762701C2211yescharacteristic, complemented
115#11762700C2211yescharacteristic, complemented
116#11762700C2211yescharacteristic, complemented
117#11762699C2211yescharacteristic, complemented
118#11762699C2211yescharacteristic, complemented
119#11762699C2211yescharacteristic, complemented
120#11762699C2211yescharacteristic, complemented
121#11762698C2211yescharacteristic, complemented
122#11762698C2211yescharacteristic, complemented
123#11762693C2211yescharacteristic, complemented
124#11762693C2211yescharacteristic, complemented
125#11762692C2211yescharacteristic, complemented
126#11762692C2211yescharacteristic, complemented
127#11762688C2211yescharacteristic
128#11762688C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic
137#11762687C2211yescharacteristic, complemented
138#11762687C2211yescharacteristic, complemented
139#11762687C2211yescharacteristic, complemented
140#11762687C2211yescharacteristic, complemented
141#11762687C2211yescharacteristic, complemented
142#11762687C2211yescharacteristic, complemented
143#11762687C2211yescharacteristic, complemented
144#11762687C2211yescharacteristic, complemented
145#11762687C2211yescharacteristic, complemented
146#11762687C2211yescharacteristic, complemented
147#11762687C2211yescharacteristic, complemented
148#11762687C2211yescharacteristic, complemented
149#11762687C2211yescharacteristic, complemented
150#11762687C2211yescharacteristic, complemented
151#11762686C2211yescharacteristic
152#11762686C2211yescharacteristic
153#11762686C2211yescharacteristic
154#11762686C2211yescharacteristic
155#11762681C2211yescharacteristic
156#11762681C2211yescharacteristic
157#11762680C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic, complemented
159#11762680C2211yescharacteristic, complemented
160#11762680C2211yescharacteristic, complemented
161#11762676C2211yescharacteristic, complemented
162#11762673C2211yescharacteristic, complemented
163#11762671C2211yescharacteristic, complemented
164#11762671C2211yescharacteristic, complemented
165#11762671C2211yescharacteristic, complemented
166#11762668C2211yescharacteristic, complemented
167#11762666C2211yescharacteristic, complemented
168#11762666C2211yescharacteristic, complemented
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C17×#400C2211yescharacteristic, complemented
173C17×#400C2211yescharacteristic, complemented
174C17×#398C2211yescharacteristic, complemented
175C17×#398C2211yescharacteristic, complemented
176C17×#387C2211yescharacteristic, complemented
177C17×#387C2211yescharacteristic, complemented
178C17×#387C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#385C2211yescharacteristic
181C17×#385C2211yescharacteristic
182C17×#380C2211yescharacteristic
183C17×#380C2211yescharacteristic
184C17×#380C2211yescharacteristic
185C4×C22⋊C4×C17C2211yescharacteristic
186C2×C17×#95C2211yescharacteristic
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C23×C4×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C23×Dic17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C22×D68—24no—
198C22×D68—42no—
199C22×D68—42no—
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×D68C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×D68C2311yescharacteristic
208C22×D68C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×D68C2311yescharacteristic
211C22×D68C2311yescharacteristic
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×D68C2311yescharacteristic
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×D68C2311yescharacteristic
219C22×C4×D17—42no—
220C22×C4×D17—42no—
221C22×C4×D17—42no—
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246#10587616—24no—
247#10587616—42no—
248#10587616—42no—
249C4×C22⋊D17—24no—
250C2×#63227—42no—
251C2×#63227—42no—
252C2×#63227—42no—
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319#10587581—42no—
320#10587581—42no—
321#10587581—42no—
322#10587581—42no—
323#10587581—42no—
324#10587581—42no—
325#10587580—42no—
326#10587580—42no—
327#10587580—42no—
328#10587580—42no—
329#10587568—42no—
330#10587568—42no—
331#10587568—42no—
332#10587568—42no—
333#10587568—42no—
334#10587568—42no—
335#10587567—42no—
336#10587567—42no—
337#10587560—42no—
338#10587560—42no—
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
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
375C24×C17C2411yescharacteristic
376C23×D17—22no—
377C23×D17—22no—
378C23×D17—22no—
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17—22no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17C2411yescharacteristic
391C23×D17C2411yescharacteristic
392C23×D17C2411yescharacteristic
393C23×D17C2411yescharacteristic
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17#4114yes—
406C22×C4×C17C2411yescharacteristic
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
419C22×C4×C17C2411yescharacteristic
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⋊D17—22no—
429C22×Dic17—22no—
430C22×Dic17—22no—
431C22×Dic17—41no—
432C22×Dic17—41no—
433C22×Dic17—41no—
434C22×Dic17—41no—
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C2×D68—22no—
445C2×D68—22no—
446C2×D68—22no—
447C2×D68—22no—
448C2×D68—22no—
449C2×D68—22no—
450C2×D68—22no—
451C2×D68—22no—
452C2×D68—22no—
453C2×D68—22no—
454C2×D68—22no—
455C2×D68—22no—
456C2×D68—22no—
457C2×D68—22no—
458C2×D68—22no—
459C2×D68—22no—
460C2×D68—41no—
461C2×D68—41no—
462C2×D68—41no—
463C2×D68—41no—
464C2×D68—416no—
465C2×D68—41no—
466C2×D68—41no—
467C2×D68—41no—
468C2×D68—41no—
469C2×D68—41no—
470C2×D68—41no—
471C2×D68—41no—
472C2×D68—41no—
473C2×D68—41no—
474C2×D68—41no—
475C2×D68—41no—
476C2×D68—41no—
477C2×D68—41no—
478C2×D68—41no—
479C2×D68—41no—
480C2×D68—41no—
481C2×D68—41no—
482C2×D68—41no—
483C2×D68—41no—
484C2×D68—41no—
485C2×D68—41no—
486C2×D68—41no—
487C2×D68—41no—
488C2×D68—41no—
489C2×D68—41no—
490C2×D68—41no—
491C2×D68—41no—
492C2×D68—41no—
493C2×D68—41no—
494C2×D68—41no—
495C2×D68—41no—
496C2×D68—41no—
497C2×D68—41no—
498C2×D68—41no—
499C2×D68—41no—
500C2×D68—41no—
501C2×D68—41no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—416no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—41no—
527C4⋊C4×C17—41no—
528C4⋊C4×C17—41no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C4⋊C4×C17—41no—
533C4⋊C4×C17—41no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C42×C17—41no—
539C42×C17—41no—
540C22⋊Dic17—22no—
541#63227—22no—
542#63227—22no—
543#63227—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560#63227—41no—
561#63227—41no—
562#63227—41no—
563#63227—41no—
564#63227—41no—
565#63227—41no—
566#63227—41no—
567#63227—41no—
568#63227—41no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586#63227—41no—
587#63227—41no—
588#63227—41no—
589#63227—41no—
590#63227—41no—
591#63227—41no—
592#63227—41no—
593#63227—41no—
594C4⋊Dic17—22no—
595C4⋊Dic17—41no—
596C4⋊Dic17—41no—
597#63225—22no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603#63225—41no—
604C4×Dic17—22no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607#36794—171nomaximal, Sylow
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17C2×#4112yes—
613C23×C17H(5,𝔽2)12yes—
614C23×C17H(5,𝔽2)12yes—
615C23×C17C2511yescharacteristic
616C22×D17—28no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—44no—
665C22×D17—44no—
666C22×D17—44no—
667C22×D17—44no—
668C22×D17—44no—
669C22×D17—44no—
670C22×D17—44no—
671C22×D17—44no—
672C22×D17—44no—
673C22×D17—82no—
674C22×D17—82no—
675C22×D17—82no—
676C22×D17—82no—
677C22×D17H(5,𝔽2)12yes—
678C22×D17H(5,𝔽2)12yes—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—44no—
719C2×C4×C17—44no—
720C2×C4×C17—82no—
721C2×C4×C17C2×#4112yes—
722C2×C4×C17C2×#4112yes—
723C2×C4×C17H(5,𝔽2)12yes—
724C22⋊D17—44no—
725C22⋊D17—44no—
726C22⋊D17—44no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—44no—
755C2×Dic17—82no—
756D68—44no—
757D68—44no—
758D68—44no—
759D68—44no—
760D68—82no—
761D68—82no—
762D68—82no—
763D68—82no—
764D68—82no—
765D68—82no—
766D68—82no—
767D68—82no—
768D68—82no—
769D68—82no—
770D68—82no—
771D68—82no—
772D68—82no—
773D68—82no—
774D68—82no—
775C4×D17—44no—
776C4×D17—44no—
777C4×D17—44no—
778C4×D17—44no—
779C4×D17—82no—
780C4×D17—82no—
781C4×D17—82no—
782#2849—171no—
783#2847—171no—
784#2797—171no—
785#2786—171no—
786#2756—171no—
787#2753—171no—
788#2752—171no—
789#2749—171no—
790#2740—171no—
791#2709—171no—
792#2709—171no—
793#2706—171no—
794#2703—171no—
795#2699—171no—
796#2688—171no—
797#2673—171no—
798#2673—171no—
799#2671—171no—
800#2622—171no—
801#2617—171no—
802#2569D1711yescharacteristic, complemented
803#2543—171no—
804#2433—171no—
805#2424—171no—
806#2424—171no—
807#2418—171no—
808#2418—171no—
809#2408—171no—
810#2325—171no—
811#2318—171no—
812C2×#386—171no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17#54014yes—
820C22×C17C22×#4111yescharacteristic
821C22×C17C2×H(5,𝔽2)11yescharacteristic
822C22×C17C2×H(5,𝔽2)11yescharacteristic
823C22×C17C2×H(5,𝔽2)11yescharacteristic
824C22×C17C2×H(5,𝔽2)11yescharacteristic
825C22×C17C2×H(5,𝔽2)11yescharacteristic
826C22×C17#58511yescharacteristic
827C2×D17—22no—
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—416no—
834C2×D17—41no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17—41no—
853C2×D17—41no—
854C2×D17—41no—
855C2×D17—41no—
856C2×D17—41no—
857C2×D17—41no—
858C2×D17—41no—
859C2×D17—41no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—41no—
877C2×D17—88no—
878C4×C17—22no—
879C4×C17—22no—
880C4×C17—22no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C4×C17—41no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901C23×D4—171no—
902C24×C4—171no—
903C2×#127—171no—
904C2×#127—171no—
905C2×#123—171no—
906C2×#123—171no—
907C2×#123—171no—
908C2×#123—171no—
909C2×#121—171no—
910C2×#121—171no—
911C2×#121—171no—
912C2×#121—171no—
913C2×#121—171no—
914C2×#121—171no—
915C2×#121—171no—
916C2×#121—171no—
917C2×#121—171no—
918C2×#120—171no—
919C2×#120—171no—
920C2×#120—171no—
921C2×#120—171no—
922C2×#120—171no—
923C2×#120—171no—
924C2×C4×D4—171no—
925C2×C4×D4—171no—
926C2×C4×D4—171no—
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930#400C2×D1711yescharacteristic, complemented
931#400C2×D1711yescharacteristic, complemented
932#399—171no—
933#399—171no—
934#398—171no—
935#398C2×D1711yescharacteristic, complemented
936#398C2×D1711yescharacteristic, complemented
937#397—171no—
938#397—171no—
939#397—171no—
940#397—171no—
941#397—171no—
942#397—171no—
943#397—171no—
944#397—171no—
945#397—171no—
946#396—171no—
947#396—171no—
948#394—171no—
949#394—171no—
950#394—171no—
951#394—171no—
952#394—171no—
953#394—171no—
954#394—171no—
955#394—171no—
956#394—171no—
957#394—171no—
958#394—171no—
959#394—171no—
960#394—171no—
961#394—171no—
962#394—171no—
963#394—171no—
964#394—171no—
965#394—171no—
966#394—171no—
967#392—171no—
968#392—171no—
969#392—171no—
970#392—171no—
971#392—171no—
972#392—171no—
973#392—171no—
974#392—171no—
975#392—171no—
976#392—171no—
977#392—171no—
978#390—171no—
979#390—171no—
980#390—171no—
981#390—171no—
982#390—171no—
983#390—171no—
984#388—171no—
985#388—171no—
986#388—171no—
987#388—171no—
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388—171no—
995#388—171no—
996#387—171no—
997#387—171no—
998#387—171no—
999#387—171no—
1000#387C2×D1711yescharacteristic, complemented
1001#387C2×D1711yescharacteristic, complemented
1002#387C2×D1711yescharacteristic, complemented
1003#387C2×D1711yescharacteristic, complemented
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
1023#386—171no—
1024#386—171no—
1025#386—171no—
1026#386—171no—
1027#386—171no—
1028#386—171no—
1029#386—171no—
1030#386—171no—
1031#386—171no—
1032#385—171no—
1033#385—171no—
1034#385—171no—
1035#385—171no—
1036#385—171no—
1037#385—171no—
1038#385C2×D1711yescharacteristic
1039#385C2×D1711yescharacteristic
1040#383—171no—
1041#382—171no—
1042#381—171no—
1043#381—171no—
1044#381—171no—
1045#380—171no—
1046#380—171no—
1047#380—171no—
1048#380C2×D1711yescharacteristic
1049#380C2×D1711yescharacteristic
1050#380C2×D1711yescharacteristic
1051#379—171no—
1052#379—171no—
1053C4×C22⋊C4C2×D1711yescharacteristic
1054C2×#95—171no—
1055C2×#95C2×D1711yescharacteristic
1056C2×C17—24no—
1057C2×C17C2×#54011yescharacteristic
1058C2×C17#349011yescharacteristic
1059C2×C17#350611yescharacteristic
1060C2×C17#353211yescharacteristic
1061C2×C17#353411yescharacteristic
1062C2×C17#353411yescharacteristic
1063C2×C17#353711yescharacteristic
1064D17—42no—
1065D17—42no—
1066D17—81no—
1067D17—81no—
1068D17—81no—
1069D17—81no—
1070D17—81no—
1071C25—171no—
1072C25—171no—
1073C22×D4—171no—
1074C22×D4—171no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—171no—
1089C22×D4—171no—
1090C22×D4—171no—
1091C22×D4—171no—
1092C22×D4—171no—
1093C22×D4—171no—
1094C22×D4—171no—
1095C22×D4—344no—
1096C22×D4—682no—
1097C22×D4—682no—
1098C23×C4—171no—
1099C23×C4—171no—
1100C23×C4—171no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—171no—
1104C23×C4—171no—
1105C23×C4—171no—
1106C23×C4—171no—
1107C23×C4—682no—
1108C23×C4—682no—
1109C23×C4—682no—
1110C23×C4C22×D1711yescharacteristic
1111C23×C4C22×D1711yescharacteristic
1112C23×C4C22×D1711yescharacteristic
1113#127—682no—
1114#127—682no—
1115#123—682no—
1116#123—682no—
1117#123—682no—
1118#123—682no—
1119#121—344no—
1120#121—682no—
1121#121—682no—
1122#121—682no—
1123#121—682no—
1124#121—682no—
1125#121—682no—
1126#121—682no—
1127#121—682no—
1128#120—682no—
1129#120—682no—
1130#120—682no—
1131#120—682no—
1132#120—682no—
1133#120—682no—
1134C4×D4—344no—
1135C4×D4—682no—
1136C4×D4—682no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—171no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4C22×D1711yescharacteristic
1148C2×C4⋊C4C22×D1711yescharacteristic
1149C2×C4⋊C4C22×D1711yescharacteristic
1150C2×C4⋊C4C22×D1711yescharacteristic
1151C2×C4⋊C4C22×D1711yescharacteristic
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C4⋊C4C22×D1711yescharacteristic
1154C2×C4⋊C4C22×D1711yescharacteristic
1155C2×C4⋊C4C22×D1711yescharacteristic
1156C2×C4⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊C4—171no—
1207C2×C22⋊C4—171no—
1208C2×C22⋊C4—171no—
1209C2×C22⋊C4—171no—
1210C2×C22⋊C4—171no—
1211C2×C22⋊C4—682no—
1212C2×C22⋊C4—682no—
1213C2×C22⋊C4—682no—
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C22⋊C4C22×D1711yescharacteristic
1216C2×C22⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4C22×D1711yescharacteristic
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42—171no—
1221C2×C42C22×D1711yescharacteristic
1222C2×C42C22×D1711yescharacteristic
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95C22×D1711yescharacteristic
1244#95C22×D1711yescharacteristic
1245#95C22×D1711yescharacteristic
1246#95C22×D1711yescharacteristic
1247#95C22×D1711yescharacteristic
1248#95C22×D1711yescharacteristic
1249#95C22×D1711yescharacteristic
1250#95C22×D1711yescharacteristic
1251#95C22×D1711yescharacteristic
1252#95C22×D1711yescharacteristic
1253#95C22×D1711yescharacteristic
1254#95C22×D1711yescharacteristic
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259C17#3679411yescharacteristic, complemented, Sylow
1260C24—171no—
1261C24—171no—
1262C24—171no—
1263C24—171no—
1264C24—171no—
1265C24—171no—
1266C24—171no—
1267C24—342no—
1268C24—342no—
1269C24—342no—
1270C24—342no—
1271C24—342no—
1272C24—342no—
1273C24—342no—
1274C24—342no—
1275C24—681no—
1276C24—681no—
1277C24—681no—
1278C24—681no—
1279C24—681no—
1280C24—681no—
1281C24C23×D1711yescharacteristic
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—342no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—342no—
1299C2×D4—342no—
1300C2×D4—342no—
1301C2×D4—342no—
1302C2×D4—342no—
1303C2×D4—342no—
1304C2×D4—342no—
1305C2×D4—342no—
1306C2×D4—342no—
1307C2×D4—681no—
1308C2×D4—681no—
1309C2×D4—681no—
1310C2×D4—681no—
1311C2×D4—681no—
1312C2×D4—681no—
1313C2×D4—681no—
1314C2×D4—681no—
1315C2×D4—681no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—681no—
1319C2×D4—681no—
1320C2×D4—681no—
1321C2×D4—681no—
1322C2×D4—681no—
1323C2×D4—681no—
1324C2×D4—681no—
1325C2×D4—681no—
1326C2×D4—681no—
1327C2×D4—681no—
1328C2×D4—681no—
1329C2×D4—681no—
1330C2×D4—681no—
1331C2×D4—681no—
1332C2×D4—681no—
1333C2×D4—681no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—6816no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—171no—
1358C22×C4—171no—
1359C22×C4—171no—
1360C22×C4—171no—
1361C22×C4—171no—
1362C22×C4—171no—
1363C22×C4—171no—
1364C22×C4—171no—
1365C22×C4—171no—
1366C22×C4—342no—
1367C22×C4—342no—
1368C22×C4—342no—
1369C22×C4—342no—
1370C22×C4—342no—
1371C22×C4—342no—
1372C22×C4—342no—
1373C22×C4—681no—
1374C22×C4—681no—
1375C22×C4—681no—
1376C22×C4—681no—
1377C22×C4—681no—
1378C22×C4—681no—
1379C22×C4—681no—
1380C22×C4—681no—
1381C22×C4—681no—
1382C22×C4—681no—
1383C22×C4—681no—
1384C22×C4—681no—
1385C22×C4—681no—
1386C22×C4—681no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4—6816no—
1390C22×C4—681no—
1391C22×C4—681no—
1392C22×C4—681no—
1393C22×C4—681no—
1394C22×C4#6325614yes—
1395C22×C4C23×D1711yescharacteristic
1396C22×C4C23×D1711yescharacteristic
1397C22×C4C23×D1711yescharacteristic
1398C22×C4C23×D1711yescharacteristic
1399C22×C4C23×D1711yescharacteristic
1400C22×C4C23×D1711yescharacteristic
1401C22×C4C23×D1711yescharacteristic
1402C22×C4C23×D1711yescharacteristic
1403C22×C4C23×D1711yescharacteristic
1404C22×C4C23×D1711yescharacteristic
1405C22×C4C23×D1711yescharacteristic
1406C22×C4C23×D1711yescharacteristic
1407C22×C4C23×D1711yescharacteristic
1408C22×C4C23×D1711yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—342no—
1420C4⋊C4—342no—
1421C4⋊C4—681no—
1422C4⋊C4—681no—
1423C4⋊C4—681no—
1424C4⋊C4—681no—
1425C4⋊C4—681no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—681no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C22⋊C4—681no—
1468C22⋊C4—681no—
1469C22⋊C4—681no—
1470C22⋊C4—681no—
1471C22⋊C4—681no—
1472C22⋊C4—681no—
1473C22⋊C4—681no—
1474C22⋊C4—681no—
1475C22⋊C4—681no—
1476C22⋊C4—681no—
1477C22⋊C4—681no—
1478C22⋊C4—681no—
1479C22⋊C4—681no—
1480C22⋊C4—681no—
1481C22⋊C4—681no—
1482C22⋊C4—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C42—41no—
1488C42—41no—
1489C42—342no—
1490C42—681no—
1491C42—681no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—172no—
1497C23—172no—
1498C23—348no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—341no—
1506C23—341no—
1507C23—341no—
1508C23—341no—
1509C23—341no—
1510C23—341no—
1511C23—341no—
1512C23—341no—
1513C23—341no—
1514C23—341no—
1515C23—341no—
1516C23—341no—
1517C23—341no—
1518C23—341no—
1519C23—341no—
1520C23—341no—
1521C23—341no—
1522C23—341no—
1523C23—341no—
1524C23—341no—
1525C23—341no—
1526C23—341no—
1527C23—341no—
1528C23—341no—
1529C23—341no—
1530C23—341no—
1531C23—341no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—684no—
1547C23—684no—
1548C23—684no—
1549C23—684no—
1550C23—684no—
1551C23—684no—
1552C23—684no—
1553C23—684no—
1554C23—684no—
1555C23—1362no—
1556C23—1362no—
1557C23—1362no—
1558C23—1362no—
1559C23C2×#6325612yes—
1560C23#1058769612yes—
1561C23#1058769612yes—
1562C23C24×D1711yescharacteristic
1563D4—684no—
1564D4—684no—
1565D4—684no—
1566D4—684no—
1567D4—684no—
1568D4—684no—
1569D4—684no—
1570D4—1362no—
1571D4—1362no—
1572D4—1362no—
1573D4—1362no—
1574D4—1362no—
1575D4—1362no—
1576D4—1362no—
1577D4—1362no—
1578D4—1362no—
1579D4—1362no—
1580D4—1362no—
1581D4—1362no—
1582D4—1362no—
1583D4—1362no—
1584D4—1362no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—82no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—341no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—341no—
1654C2×C4—684no—
1655C2×C4—684no—
1656C2×C4—684no—
1657C2×C4—684no—
1658C2×C4—684no—
1659C2×C4—1362no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4—1362no—
1663C2×C4C2×#6325612yes—
1664C2×C4C2×#6325612yes—
1665C2×C4#1058769612yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—342no—
1673C22—342no—
1674C22—342no—
1675C22—342no—
1676C22—342no—
1677C22—342no—
1678C22—6816no—
1679C22—681no—
1680C22—681no—
1681C22—681no—
1682C22—681no—
1683C22—681no—
1684C22—681no—
1685C22—681no—
1686C22—681no—
1687C22—681no—
1688C22—681no—
1689C22—681no—
1690C22—681no—
1691C22—681no—
1692C22—681no—
1693C22—681no—
1694C22—681no—
1695C22—681no—
1696C22—681no—
1697C22—681no—
1698C22—681no—
1699C22—681no—
1700C22—681no—
1701C22—681no—
1702C22—681no—
1703C22—681no—
1704C22—681no—
1705C22—681no—
1706C22—681no—
1707C22—681no—
1708C22—681no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—1368no—
1723C22#1176341514yes—
1724C22C22×#6325611yescharacteristic
1725C22H(5,𝔽2)×D1711yescharacteristic
1726C22H(5,𝔽2)×D1711yescharacteristic
1727C22C2×#1058769611yescharacteristic
1728C22C2×#1058769611yescharacteristic
1729C22C2×#1058769611yescharacteristic
1730C22#1176364511yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C4—681no—
1750C4—681no—
1751C4—681no—
1752C4—681no—
1753C4—681no—
1754C2—24no—
1755C2—682no—
1756C2—682no—
1757C2—1361no—
1758C2—1361no—
1759C2—1361no—
1760C2—1361no—
1761C2—1361no—
1762C2C2×#1176341511yescharacteristic
1763C2#1454247411yescharacteristic
1764C2#1454263811yescharacteristic
1765C2#1454294011yescharacteristic
1766C2#1454296111yescharacteristic
1767C2#1454297711yescharacteristic
1768C2#1454302011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2569C2
hypercenter#2569D17
hypocenterC17#36794
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2569

Complements

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

NH ≅ G/Ntype
1. #14537079C2semidirect
2. #14537067C2semidirect
3. #14536642C2semidirect
4. #14536498C2semidirect
5. #14536112C2semidirect
6. #14536067C2semidirect
7. #14536047C2semidirect
8. #14536014C2semidirect
9. #14535879C2semidirect
10. #14535516C2semidirect
11. #14535516C2semidirect
12. #14535474C2semidirect
13. #14535426C2semidirect
14. #14535370C2semidirect
15. #14535227C2semidirect
16. #14535053C2semidirect
17. #14535053C2semidirect
18. #14535027C2semidirect
19. #14534562C2semidirect
20. #14534521C2semidirect
21. #14533744C2semidirect
22. #14532421C2semidirect
23. #14532318C2semidirect
24. #14532318C2semidirect
25. #14532252C2semidirect
26. #14532252C2semidirect
27. #14532141C2semidirect
28. #14531484C2semidirect
29. #14531411C2semidirect
30. C2×#11762687C2semidirect
31. C17×#2569C2semidirect
36. C2×#10587580C22semidirect
37. C2×#10587580C22semidirect
38. C2×#10587580C22semidirect
39. C2×#10587580C22semidirect
42. C2×#10587581C22semidirect
43. C2×#10587581C22semidirect
44. C2×#10587581C22semidirect
45. C2×#10587581C22semidirect
61. #11762744C22semidirect
62. #11762744C22semidirect
63. #11762741C22semidirect
64. #11762738C22semidirect
65. #11762738C22semidirect
66. #11762738C22semidirect
67. #11762738C22semidirect
68. #11762736C22semidirect
69. #11762736C22semidirect
70. #11762736C22semidirect
71. #11762735C22semidirect
72. #11762735C22semidirect
73. #11762731C22semidirect
74. #11762731C22semidirect
77. #11762727C22semidirect
78. #11762727C22semidirect
79. #11762727C22semidirect
80. #11762727C22semidirect
81. #11762727C22semidirect
82. #11762727C22semidirect
83. #11762727C22semidirect
84. #11762726C22semidirect
85. #11762726C22semidirect
86. #11762726C22semidirect
87. #11762726C22semidirect
88. #11762726C22semidirect
89. #11762726C22semidirect
90. #11762726C22semidirect
91. #11762726C22semidirect
92. #11762726C22semidirect
93. #11762726C22semidirect
100. #11762719C22semidirect
101. #11762719C22semidirect
102. #11762719C22semidirect
103. #11762719C22semidirect
104. #11762719C22semidirect
109. #11762710C22semidirect
110. #11762710C22semidirect
111. #11762701C22semidirect
112. #11762701C22semidirect
113. #11762701C22semidirect
114. #11762701C22semidirect
115. #11762700C22semidirect
116. #11762700C22semidirect
117. #11762699C22semidirect
118. #11762699C22semidirect
119. #11762699C22semidirect
120. #11762699C22semidirect
121. #11762698C22semidirect
122. #11762698C22semidirect
123. #11762693C22semidirect
124. #11762693C22semidirect
125. #11762692C22semidirect
126. #11762692C22semidirect
137. #11762687C22semidirect
138. #11762687C22semidirect
139. #11762687C22semidirect
140. #11762687C22semidirect
141. #11762687C22semidirect
142. #11762687C22semidirect
143. #11762687C22semidirect
144. #11762687C22semidirect
145. #11762687C22semidirect
146. #11762687C22semidirect
147. #11762687C22semidirect
148. #11762687C22semidirect
149. #11762687C22semidirect
150. #11762687C22semidirect
157. #11762680C22semidirect
158. #11762680C22semidirect
159. #11762680C22semidirect
160. #11762680C22semidirect
161. #11762676C22semidirect
162. #11762673C22semidirect
163. #11762671C22semidirect
164. #11762671C22semidirect
165. #11762671C22semidirect
166. #11762668C22semidirect
167. #11762666C22semidirect
168. #11762666C22semidirect
172. C17×#400C22semidirect
173. C17×#400C22semidirect
174. C17×#398C22semidirect
175. C17×#398C22semidirect
176. C17×#387C22semidirect
177. C17×#387C22semidirect
178. C17×#387C22semidirect
179. C17×#387C22semidirect
802. #2569D17semidirect
930. #400C2×D17semidirect
931. #400C2×D17semidirect
935. #398C2×D17semidirect
936. #398C2×D17semidirect
1000. #387C2×D17semidirect
1001. #387C2×D17semidirect
1002. #387C2×D17semidirect
1003. #387C2×D17semidirect
1259. C17#36794semidirect

Maximal subgroups

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

subgroupindex
#145370792
#145370672
#145366422
#145364982
#145361122
#145360672
#145360472
#145360142
#145358792
#145355162
#145354742
#145354262
#145353702
#145352272
#145350532
#145350272
#145345622
#145345212
#145337442
#145324212
#145323182
#145322522
#145321412
#145314842
#145314112
C2×#117626872
C17×#25692
#3679417