Finite Group Databasebeta

← #17243215

Subgroups — #17243215

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#14537075C211yesmaximal, characteristic, complemented
2#14537063C211yesmaximal, characteristic, complemented
3#14536634C211yesmaximal, characteristic, complemented
4#14536506C211yesmaximal, characteristic, complemented
5#14536110C211yesmaximal, characteristic, complemented
6#14536065C211yesmaximal, characteristic, complemented
7#14536045C211yesmaximal, characteristic, complemented
8#14536002C211yesmaximal, characteristic, complemented
9#14535891C211yesmaximal, characteristic, complemented
10#14535517C211yesmaximal, characteristic, complemented
11#14535510C211yesmaximal, characteristic, complemented
12#14535470C211yesmaximal, characteristic, complemented
13#14535431C211yesmaximal, characteristic, complemented
14#14535373C211yesmaximal, characteristic, complemented
15#14535224C211yesmaximal, characteristic, complemented
16#14535056C211yesmaximal, characteristic, complemented
17#14535049C211yesmaximal, characteristic, complemented
18#14535018C211yesmaximal, characteristic, complemented
19#14534561C211yesmaximal, characteristic, complemented
20#14534520C211yesmaximal, characteristic, complemented
21#14534008C211yesmaximal, characteristic, complemented
22#14532422C211yesmaximal, characteristic, complemented
23#14532326C211yesmaximal, characteristic, complemented
24#14532326C211yesmaximal, characteristic, complemented
25#14532244C211yesmaximal, characteristic, complemented
26#14532244C211yesmaximal, characteristic, complemented
27#14532140C211yesmaximal, characteristic, complemented
28#14531489C211yesmaximal, characteristic, complemented
29#14531417C211yesmaximal, characteristic, complemented
30C2×#11762687C211yesmaximal, characteristic, complemented
31C17×#2543C211yesmaximal, characteristic, complemented
32C23×D68C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587626C2211yescharacteristic
35C2×#10587626C2211yescharacteristic
36C2×#10587572C2211yescharacteristic, complemented
37C2×#10587572C2211yescharacteristic, complemented
38C2×#10587569C2211yescharacteristic, complemented
39C2×#10587569C2211yescharacteristic, complemented
40C2×#10587616C2211yescharacteristic
41C2×#10587616C2211yescharacteristic
42C2×#10587625C2211yescharacteristic, complemented
43C2×#10587625C2211yescharacteristic, complemented
44C2×#10587624C2211yescharacteristic, complemented
45C2×#10587624C2211yescharacteristic, complemented
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×#10587623C2211yescharacteristic
51C2×#10587623C2211yescharacteristic
52C2×D4×Dic17C2211yescharacteristic
53C2×D4×Dic17C2211yescharacteristic
54C22×#63227C2211yescharacteristic
55C22×#63227C2211yescharacteristic
56C22×#63227C2211yescharacteristic
57#11762751C2211yescharacteristic, complemented
58#11762751C2211yescharacteristic, complemented
59#11762746C2211yescharacteristic, complemented
60#11762746C2211yescharacteristic, complemented
61#11762741C2211yescharacteristic, complemented
62#11762741C2211yescharacteristic, complemented
63#11762738C2211yescharacteristic, complemented
64#11762738C2211yescharacteristic, complemented
65#11762736C2211yescharacteristic, complemented
66#11762736C2211yescharacteristic, complemented
67#11762736C2211yescharacteristic, complemented
68#11762736C2211yescharacteristic, complemented
69#11762735C2211yescharacteristic, complemented
70#11762735C2211yescharacteristic, complemented
71#11762731C2211yescharacteristic, complemented
72#11762731C2211yescharacteristic, complemented
73#11762726C2211yescharacteristic
74#11762726C2211yescharacteristic
75#11762725C2211yescharacteristic, complemented
76#11762725C2211yescharacteristic, complemented
77#11762725C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic, complemented
79#11762725C2211yescharacteristic, complemented
80#11762725C2211yescharacteristic, complemented
81#11762725C2211yescharacteristic, complemented
82#11762725C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic, complemented
85#11762725C2211yescharacteristic, complemented
86#11762725C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762718C2211yescharacteristic
92#11762718C2211yescharacteristic
93#11762718C2211yescharacteristic
94#11762718C2211yescharacteristic
95#11762718C2211yescharacteristic
96#11762718C2211yescharacteristic
97#11762717C2211yescharacteristic, complemented
98#11762717C2211yescharacteristic, complemented
99#11762717C2211yescharacteristic, complemented
100#11762717C2211yescharacteristic, complemented
101#11762711C2211yescharacteristic
102#11762711C2211yescharacteristic
103#11762710C2211yescharacteristic
104#11762710C2211yescharacteristic
105#11762709C2211yescharacteristic, complemented
106#11762709C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762702C2211yescharacteristic, complemented
109#11762702C2211yescharacteristic, complemented
110#11762702C2211yescharacteristic, complemented
111#11762701C2211yescharacteristic, complemented
112#11762701C2211yescharacteristic, complemented
113#11762701C2211yescharacteristic, complemented
114#11762701C2211yescharacteristic, complemented
115#11762699C2211yescharacteristic, complemented
116#11762699C2211yescharacteristic, complemented
117#11762696C2211yescharacteristic, complemented
118#11762696C2211yescharacteristic, complemented
119#11762695C2211yescharacteristic, complemented
120#11762695C2211yescharacteristic, complemented
121#11762695C2211yescharacteristic, complemented
122#11762695C2211yescharacteristic, complemented
123#11762692C2211yescharacteristic, complemented
124#11762692C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic
129#11762689C2211yescharacteristic, complemented
130#11762689C2211yescharacteristic, complemented
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic
137#11762687C2211yescharacteristic
138#11762687C2211yescharacteristic
139#11762686C2211yescharacteristic, complemented
140#11762686C2211yescharacteristic, complemented
141#11762686C2211yescharacteristic, complemented
142#11762686C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic, complemented
149#11762684C2211yescharacteristic
150#11762684C2211yescharacteristic
151#11762684C2211yescharacteristic, complemented
152#11762684C2211yescharacteristic, complemented
153#11762683C2211yescharacteristic, complemented
154#11762683C2211yescharacteristic, complemented
155#11762682C2211yescharacteristic
156#11762682C2211yescharacteristic
157#11762677C2211yescharacteristic, complemented
158#11762675C2211yescharacteristic, complemented
159#11762672C2211yescharacteristic, complemented
160#11762671C2211yescharacteristic, complemented
161#11762671C2211yescharacteristic, complemented
162#11762669C2211yescharacteristic
163#11762669C2211yescharacteristic
164#11762669C2211yescharacteristic
165#11762669C2211yescharacteristic, complemented
166#11762666C2211yescharacteristic, complemented
167#11762666C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170C4×C22⋊Dic17C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#121C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C17×#121C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C17×#398C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#392C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C22×D68—24no—
216C22×D68—42no—
217C22×D68—42no—
218C22×D68C2311yescharacteristic
219C22×D68C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×C4×D17—42no—
223C22×C4×D17—42no—
224C22×C4×D17—42no—
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C17×#121—24no—
230C17×#121—42no—
231C17×#121—42no—
232C4×D4×C17—24no—
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
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
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264#10587626—42no—
265#10587626—42no—
266#10587625—42no—
267#10587625—42no—
268#10587624—42no—
269#10587624—42no—
270#10587623—42no—
271#10587623—42no—
272#10587623—42no—
273#10587623—42no—
274#10587623—42no—
275#10587623—42no—
276D4×Dic17—42no—
277D4×Dic17—42no—
278#10587616—42no—
279#10587616—42no—
280C2×#63227—42no—
281C2×#63227—42no—
282C2×#63227—42no—
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×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319C2×C4⋊Dic17C2311yescharacteristic
320C2×C4⋊Dic17C2311yescharacteristic
321C2×C4⋊Dic17C2311yescharacteristic
322C2×C4⋊Dic17C2311yescharacteristic
323C2×C4⋊Dic17C2311yescharacteristic
324C2×C4⋊Dic17C2311yescharacteristic
325C2×C4⋊Dic17C2311yescharacteristic
326C2×C4⋊Dic17C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335#10587572—42no—
336#10587572—42no—
337#10587569—42no—
338#10587569—42no—
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
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
375C24×C17C2411yescharacteristic
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17—22no—
384C23×D17—22no—
385C23×D17—22no—
386C23×D17—22no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17C2411yescharacteristic
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17#4114yes—
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—41no—
452C2×C22⋊D17—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17—41no—
466C2×C22⋊D17—41no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C22×Dic17—22no—
475C22×Dic17—22no—
476C22×Dic17—41no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17—41no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17—41no—
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C2×D68—22no—
499C2×D68—22no—
500C2×D68—22no—
501C2×D68—22no—
502C2×D68—22no—
503C2×D68—22no—
504C2×D68—22no—
505C2×D68—22no—
506C2×D68—41no—
507C2×D68—41no—
508C2×D68—41no—
509C2×D68—41no—
510C2×D68—416no—
511C2×C4×D17—22no—
512C2×C4×D17—22no—
513C2×C4×D17—22no—
514C2×C4×D17—22no—
515C2×C4×D17—41no—
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—416no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—41no—
527C4⋊C4×C17—41no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—41no—
534C22⋊C4×C17—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C42×C17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
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—
587C4⋊Dic17—22no—
588C4⋊Dic17—41no—
589C4⋊Dic17—41no—
590C4⋊Dic17—41no—
591C4⋊Dic17—41no—
592C4⋊Dic17—41no—
593C4⋊Dic17—41no—
594C4⋊Dic17—41no—
595C4⋊Dic17—41no—
596C4⋊Dic17—41no—
597C4⋊Dic17—41no—
598C4⋊Dic17—41no—
599#63225—22no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603C4×Dic17—41no—
604C4×Dic17—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607#36794—171nomaximal, Sylow
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17C2×#4112yes—
634C23×C17H(5,𝔽2)12yes—
635C23×C17H(5,𝔽2)12yes—
636C23×C17C2511yescharacteristic
637C22×D17—28no—
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—
679D4×C17—44no—
680D4×C17—44no—
681D4×C17—44no—
682D4×C17—82no—
683D4×C17—82no—
684D4×C17—82no—
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—44no—
716C2×C4×C17—44no—
717C2×C4×C17—82no—
718C2×C4×C17—82no—
719C2×C4×C17C2×#4112yes—
720C2×C4×C17C2×#4112yes—
721C2×C4×C17H(5,𝔽2)12yes—
722C22⋊D17—82no—
723C22⋊D17—82no—
724C22⋊D17—82no—
725C22⋊D17—82no—
726C22⋊D17—82no—
727C22⋊D17—82no—
728C22⋊D17—82no—
729C22⋊D17—82no—
730C22⋊D17—82no—
731C22⋊D17—82no—
732C22⋊D17—82no—
733C22⋊D17—82no—
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—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—44no—
771C2×Dic17—82no—
772C2×Dic17—82no—
773C2×Dic17—82no—
774D68—44no—
775D68—44no—
776D68—44no—
777D68—44no—
778C4×D17—44no—
779C4×D17—44no—
780C4×D17—44no—
781C4×D17—44no—
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#2569—171no—
803#2543D1711yescharacteristic, complemented
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—41no—
820C22×C17—41no—
821C22×C17—41no—
822C22×C17—41no—
823C22×C17—41no—
824C22×C17—41no—
825C22×C17—41no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17#54014yes—
841C22×C17C22×#4111yescharacteristic
842C22×C17C2×H(5,𝔽2)11yescharacteristic
843C22×C17C2×H(5,𝔽2)11yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17C2×H(5,𝔽2)11yescharacteristic
846C22×C17C2×H(5,𝔽2)11yescharacteristic
847C22×C17#58511yescharacteristic
848C2×D17—22no—
849C2×D17—22no—
850C2×D17—22no—
851C2×D17—22no—
852C2×D17—22no—
853C2×D17—22no—
854C2×D17—416no—
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—
889Dic17—41no—
890Dic17—41no—
891Dic17—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×#121C2×D1711yescharacteristic
916C2×#121C2×D1711yescharacteristic
917C2×#121C2×D1711yescharacteristic
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×D4C2×D1711yescharacteristic
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930#400—171no—
931#400—171no—
932#399—171no—
933#399—171no—
934#398—171no—
935#398—171no—
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#397C2×D1711yescharacteristic, complemented
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#394C2×D1711yescharacteristic, complemented
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#392C2×D1711yescharacteristic, complemented
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#388C2×D1711yescharacteristic, complemented
995#388C2×D1711yescharacteristic, complemented
996#387—171no—
997#387—171no—
998#387—171no—
999#387—171no—
1000#387—171no—
1001#387—171no—
1002#387—171no—
1003#387—171no—
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#386C2×D1711yescharacteristic
1029#386C2×D1711yescharacteristic
1030#386C2×D1711yescharacteristic, complemented
1031#386C2×D1711yescharacteristic, complemented
1032#385—171no—
1033#385—171no—
1034#385—171no—
1035#385—171no—
1036#385—171no—
1037#385—171no—
1038#385—171no—
1039#385—171no—
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#380—171no—
1049#380—171no—
1050#380—171no—
1051#379—171no—
1052#379—171no—
1053C4×C22⋊C4—171no—
1054C2×#95—171no—
1055C2×#95C2×D1711yescharacteristic
1056C2×C17—24no—
1057C2×C17—81no—
1058C2×C17—81no—
1059C2×C17—81no—
1060C2×C17C2×#54011yescharacteristic
1061C2×C17#349011yescharacteristic
1062C2×C17#350611yescharacteristic
1063C2×C17#353211yescharacteristic
1064C2×C17#353411yescharacteristic
1065C2×C17#353411yescharacteristic
1066C2×C17#353711yescharacteristic
1067D17—42no—
1068D17—42no—
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—344no—
1090C22×D4—682no—
1091C22×D4—682no—
1092C22×D4C22×D1711yescharacteristic
1093C22×D4C22×D1711yescharacteristic
1094C22×D4C22×D1711yescharacteristic
1095C22×D4C22×D1711yescharacteristic
1096C22×D4C22×D1711yescharacteristic
1097C22×D4C22×D1711yescharacteristic
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—682no—
1107C23×C4—682no—
1108C23×C4—682no—
1109C23×C4C22×D1711yescharacteristic
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—24no—
1120#121—42no—
1121#121—42no—
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—24no—
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⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
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—682no—
1204C2×C22⋊C4—682no—
1205C2×C22⋊C4—682no—
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C22⋊C4C22×D1711yescharacteristic
1208C2×C22⋊C4C22×D1711yescharacteristic
1209C2×C22⋊C4C22×D1711yescharacteristic
1210C2×C22⋊C4C22×D1711yescharacteristic
1211C2×C22⋊C4C22×D1711yescharacteristic
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
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×C42—171no—
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#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
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—342no—
1265C24—342no—
1266C24—342no—
1267C24—342no—
1268C24—342no—
1269C24—342no—
1270C24—342no—
1271C24—342no—
1272C24—681no—
1273C24—681no—
1274C24—681no—
1275C24—681no—
1276C24—681no—
1277C24—681no—
1278C24C23×D1711yescharacteristic
1279C24C23×D1711yescharacteristic
1280C24C23×D1711yescharacteristic
1281C24C23×D1711yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—342no—
1301C2×D4—342no—
1302C2×D4—342no—
1303C2×D4—342no—
1304C2×D4—342no—
1305C2×D4—342no—
1306C2×D4—342no—
1307C2×D4—342no—
1308C2×D4—342no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—342no—
1312C2×D4—342no—
1313C2×D4—342no—
1314C2×D4—681no—
1315C2×D4—681no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—6816no—
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—681no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—171no—
1361C22×C4—171no—
1362C22×C4—171no—
1363C22×C4—171no—
1364C22×C4—171no—
1365C22×C4—171no—
1366C22×C4—171no—
1367C22×C4—171no—
1368C22×C4—171no—
1369C22×C4—171no—
1370C22×C4—171no—
1371C22×C4—171no—
1372C22×C4—342no—
1373C22×C4—342no—
1374C22×C4—342no—
1375C22×C4—342no—
1376C22×C4—342no—
1377C22×C4—342no—
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—6816no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4—681no—
1390C22×C4—681no—
1391C22×C4—681no—
1392C22×C4—681no—
1393C22×C4—681no—
1394C22×C4—681no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4#6325414yes—
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—342no—
1414C4⋊C4—342no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C4⋊C4—681no—
1420C4⋊C4—681no—
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—22no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
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—22no—
1488C42—681no—
1489C42—681no—
1490C42—681no—
1491C42—681no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—172no—
1518C23—172no—
1519C23—348no—
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×#6325412yes—
1560C23#1058769112yes—
1561C23#1058769612yes—
1562C23C24×D1711yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—684no—
1570D4—684no—
1571D4—684no—
1572D4—684no—
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—44no—
1616C2×C4—44no—
1617C2×C4—82no—
1618C2×C4—82no—
1619C2×C4—341no—
1620C2×C4—341no—
1621C2×C4—341no—
1622C2×C4—341no—
1623C2×C4—341no—
1624C2×C4—341no—
1625C2×C4—341no—
1626C2×C4—341no—
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—341no—
1655C2×C4—684no—
1656C2×C4—684no—
1657C2×C4—684no—
1658C2×C4—684no—
1659C2×C4—684no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4—1362no—
1663C2×C4C2×#6325412yes—
1664C2×C4C2×#6325412yes—
1665C2×C4#1058769612yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—342no—
1694C22—342no—
1695C22—342no—
1696C22—342no—
1697C22—342no—
1698C22—342no—
1699C22—6816no—
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#1176341214yes—
1724C22C22×#6325411yescharacteristic
1725C22H(5,𝔽2)×D1711yescharacteristic
1726C22H(5,𝔽2)×D1711yescharacteristic
1727C22C2×#1058769111yescharacteristic
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—681no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C4—681no—
1750C4—681no—
1751C4—681no—
1752C4—681no—
1753C4—681no—
1754C2—24no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—682no—
1759C2—682no—
1760C2—1361no—
1761C2—1361no—
1762C2C2×#1176341211yescharacteristic
1763C2#1454247211yescharacteristic
1764C2#1454263311yescharacteristic
1765C2#1454293311yescharacteristic
1766C2#1454296111yescharacteristic
1767C2#1454296611yescharacteristic
1768C2#1454302011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2543C2
hypercenter#2543D17
hypocenterC17#36794
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. #14537075C2semidirect
2. #14537063C2semidirect
3. #14536634C2semidirect
4. #14536506C2semidirect
5. #14536110C2semidirect
6. #14536065C2semidirect
7. #14536045C2semidirect
8. #14536002C2semidirect
9. #14535891C2semidirect
10. #14535517C2semidirect
11. #14535510C2semidirect
12. #14535470C2semidirect
13. #14535431C2semidirect
14. #14535373C2semidirect
15. #14535224C2semidirect
16. #14535056C2semidirect
17. #14535049C2semidirect
18. #14535018C2semidirect
19. #14534561C2semidirect
20. #14534520C2semidirect
21. #14534008C2semidirect
22. #14532422C2semidirect
23. #14532326C2semidirect
24. #14532326C2semidirect
25. #14532244C2semidirect
26. #14532244C2semidirect
27. #14532140C2semidirect
28. #14531489C2semidirect
29. #14531417C2semidirect
30. C2×#11762687C2semidirect
31. C17×#2543C2semidirect
36. C2×#10587572C22semidirect
37. C2×#10587572C22semidirect
38. C2×#10587569C22semidirect
39. C2×#10587569C22semidirect
42. C2×#10587625C22semidirect
43. C2×#10587625C22semidirect
44. C2×#10587624C22semidirect
45. C2×#10587624C22semidirect
57. #11762751C22semidirect
58. #11762751C22semidirect
59. #11762746C22semidirect
60. #11762746C22semidirect
61. #11762741C22semidirect
62. #11762741C22semidirect
63. #11762738C22semidirect
64. #11762738C22semidirect
65. #11762736C22semidirect
66. #11762736C22semidirect
67. #11762736C22semidirect
68. #11762736C22semidirect
69. #11762735C22semidirect
70. #11762735C22semidirect
71. #11762731C22semidirect
72. #11762731C22semidirect
75. #11762725C22semidirect
76. #11762725C22semidirect
77. #11762725C22semidirect
78. #11762725C22semidirect
79. #11762725C22semidirect
80. #11762725C22semidirect
81. #11762725C22semidirect
82. #11762725C22semidirect
83. #11762725C22semidirect
84. #11762725C22semidirect
85. #11762725C22semidirect
86. #11762725C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
89. #11762724C22semidirect
90. #11762724C22semidirect
97. #11762717C22semidirect
98. #11762717C22semidirect
99. #11762717C22semidirect
100. #11762717C22semidirect
105. #11762709C22semidirect
106. #11762709C22semidirect
107. #11762702C22semidirect
108. #11762702C22semidirect
109. #11762702C22semidirect
110. #11762702C22semidirect
111. #11762701C22semidirect
112. #11762701C22semidirect
113. #11762701C22semidirect
114. #11762701C22semidirect
115. #11762699C22semidirect
116. #11762699C22semidirect
117. #11762696C22semidirect
118. #11762696C22semidirect
119. #11762695C22semidirect
120. #11762695C22semidirect
121. #11762695C22semidirect
122. #11762695C22semidirect
123. #11762692C22semidirect
124. #11762692C22semidirect
129. #11762689C22semidirect
130. #11762689C22semidirect
139. #11762686C22semidirect
140. #11762686C22semidirect
141. #11762686C22semidirect
142. #11762686C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
148. #11762685C22semidirect
151. #11762684C22semidirect
152. #11762684C22semidirect
153. #11762683C22semidirect
154. #11762683C22semidirect
157. #11762677C22semidirect
158. #11762675C22semidirect
159. #11762672C22semidirect
160. #11762671C22semidirect
161. #11762671C22semidirect
165. #11762669C22semidirect
166. #11762666C22semidirect
167. #11762666C22semidirect
176. C17×#398C22semidirect
177. C17×#397C22semidirect
178. C17×#394C22semidirect
179. C17×#392C22semidirect
180. C17×#388C22semidirect
181. C17×#388C22semidirect
184. C17×#386C22semidirect
185. C17×#386C22semidirect
803. #2543D17semidirect
936. #398C2×D17semidirect
945. #397C2×D17semidirect
966. #394C2×D17semidirect
977. #392C2×D17semidirect
994. #388C2×D17semidirect
995. #388C2×D17semidirect
1030. #386C2×D17semidirect
1031. #386C2×D17semidirect
1259. C17#36794semidirect

Maximal subgroups

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

subgroupindex
#145370752
#145370632
#145366342
#145365062
#145361102
#145360652
#145360452
#145360022
#145358912
#145355172
#145355102
#145354702
#145354312
#145353732
#145352242
#145350562
#145350492
#145350182
#145345612
#145345202
#145340082
#145324222
#145323262
#145322442
#145321402
#145314892
#145314172
C2×#117626872
C17×#25432
#3679417