Finite Group Databasebeta

← #17242750

Subgroups — #17242750

Order 4352.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537101C211yesmaximal, characteristic, complemented
2#14537083C211yesmaximal, characteristic, complemented
3#14536453C211yesmaximal, characteristic, complemented
4#14536446C211yesmaximal, characteristic, complemented
5#14536398C211yesmaximal, characteristic, complemented
6#14536222C211yesmaximal, characteristic, complemented
7#14536203C211yesmaximal, characteristic, complemented
8#14536176C211yesmaximal, characteristic, complemented
9#14536113C211yesmaximal, characteristic, complemented
10#14536011C211yesmaximal, characteristic, complemented
11#14535919C211yesmaximal, characteristic, complemented
12#14535897C211yesmaximal, characteristic, complemented
13#14535827C211yesmaximal, characteristic, complemented
14#14535822C211yesmaximal, characteristic, complemented
15#14535787C211yesmaximal, characteristic, complemented
16#14535410C211yesmaximal, characteristic, complemented
17#14535180C211yesmaximal, characteristic, complemented
18#14535163C211yesmaximal, characteristic, complemented
19#14534566C211yesmaximal, characteristic, complemented
20#14534530C211yesmaximal, characteristic, complemented
21#14533346C211yesmaximal, characteristic, complemented
22#14533110C211yesmaximal, characteristic, complemented
23#14532528C211yesmaximal, characteristic, complemented
24#14532449C211yesmaximal, characteristic, complemented
25#14532176C211yesmaximal, characteristic, complemented
26#14532155C211yesmaximal, characteristic
27#14532108C211yesmaximal, characteristic, complemented
28#14531438C211yesmaximal, characteristic, complemented
29#14531358C211yesmaximal, characteristic, complemented
30C2×#11762701C211yesmaximal, characteristic, complemented
31C17×#2425C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C2×#10587584C2211yescharacteristic, complemented
34C2×#10587622C2211yescharacteristic, complemented
35C2×#10587615C2211yescharacteristic
36C2×#10587610C2211yescharacteristic, complemented
37C2×#10587582C2211yescharacteristic, complemented
38C2×#10587625C2211yescharacteristic
39C2×#10587623C2211yescharacteristic
40C2×#10587623C2211yescharacteristic
41C22×C4⋊Dic17C2211yescharacteristic, complemented
42C22×#63227C2211yescharacteristic
43C22×#63227C2211yescharacteristic
44C22×#63227C2211yescharacteristic
45C2×C22⋊C4×D17C2211yescharacteristic
46C22×C4×Dic17C2211yescharacteristic, complemented
47C17⋊#401C2211yescharacteristic, complemented
48#11762751C2211yescharacteristic, complemented
49#11762750C2211yescharacteristic, complemented
50#11762749C2211yescharacteristic, complemented
51#11762748C2211yescharacteristic, complemented
52#11762748C2211yescharacteristic, complemented
53#11762747C2211yescharacteristic, complemented
54#11762745C2211yescharacteristic, complemented
55#11762745C2211yescharacteristic, complemented
56#11762744C2211yescharacteristic
57#11762742C2211yescharacteristic, complemented
58#11762742C2211yescharacteristic, complemented
59#11762739C2211yescharacteristic, complemented
60#11762739C2211yescharacteristic, complemented
61#11762738C2211yescharacteristic, complemented
62#11762737C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762735C2211yescharacteristic
65#11762735C2211yescharacteristic
66#11762735C2211yescharacteristic, complemented
67#11762734C2211yescharacteristic, complemented
68#11762734C2211yescharacteristic, complemented
69#11762734C2211yescharacteristic, complemented
70#11762733C2211yescharacteristic
71#11762732C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic
74#11762731C2211yescharacteristic, complemented
75#11762731C2211yescharacteristic, complemented
76#11762726C2211yescharacteristic
77#11762726C2211yescharacteristic
78#11762726C2211yescharacteristic
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic
81#11762725C2211yescharacteristic, complemented
82#11762725C2211yescharacteristic, complemented
83#11762724C2211yescharacteristic
84#11762724C2211yescharacteristic
85#11762724C2211yescharacteristic
86#11762724C2211yescharacteristic, complemented
87#11762722C2211yescharacteristic
88#11762722C2211yescharacteristic, complemented
89#11762718C2211yescharacteristic
90#11762717C2211yescharacteristic
91#11762714C2211yescharacteristic, complemented
92#11762713C2211yescharacteristic, complemented
93#11762712C2211yescharacteristic, complemented
94#11762709C2211yescharacteristic
95#11762709C2211yescharacteristic, complemented
96#11762703C2211yescharacteristic, complemented
97#11762703C2211yescharacteristic, complemented
98#11762703C2211yescharacteristic, complemented
99#11762703C2211yescharacteristic, complemented
100#11762702C2211yescharacteristic, complemented
101#11762701C2211yescharacteristic
102#11762701C2211yescharacteristic
103#11762701C2211yescharacteristic
104#11762701C2211yescharacteristic
105#11762701C2211yescharacteristic, complemented
106#11762701C2211yescharacteristic, complemented
107#11762701C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic, complemented
109#11762701C2211yescharacteristic, complemented
110#11762701C2211yescharacteristic, complemented
111#11762700C2211yescharacteristic
112#11762700C2211yescharacteristic, complemented
113#11762700C2211yescharacteristic, complemented
114#11762699C2211yescharacteristic
115#11762699C2211yescharacteristic, complemented
116#11762699C2211yescharacteristic, complemented
117#11762698C2211yescharacteristic, complemented
118#11762698C2211yescharacteristic, complemented
119#11762697C2211yescharacteristic, complemented
120#11762696C2211yescharacteristic, complemented
121#11762695C2211yescharacteristic, complemented
122#11762693C2211yescharacteristic, complemented
123#11762692C2211yescharacteristic, complemented
124#11762690C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic, complemented
129#11762689C2211yescharacteristic, complemented
130#11762688C2211yescharacteristic
131#11762688C2211yescharacteristic
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic, complemented
134#11762688C2211yescharacteristic, complemented
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic
137#11762686C2211yescharacteristic
138#11762686C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762684C2211yescharacteristic, complemented
145#11762683C2211yescharacteristic, complemented
146#11762681C2211yescharacteristic, complemented
147#11762681C2211yescharacteristic, complemented
148#11762680C2211yescharacteristic
149#11762680C2211yescharacteristic
150#11762680C2211yescharacteristic
151#11762680C2211yescharacteristic, complemented
152#11762676C2211yescharacteristic, complemented
153#11762676C2211yescharacteristic, complemented
154#11762674C2211yescharacteristic, complemented
155#11762673C2211yescharacteristic, complemented
156#11762672C2211yescharacteristic, complemented
157#11762672C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic
159#11762671C2211yescharacteristic
160#11762668C2211yescharacteristic, complemented
161#11762667C2211yescharacteristic, complemented
162#11762666C2211yescharacteristic, complemented
163#11762666C2211yescharacteristic, complemented
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170C4×C22⋊Dic17C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C2×C17×#123C2211yescharacteristic
173C2×C17×#123C2211yescharacteristic, complemented
174C2×C17×#121C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic, complemented
176C17×#398C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#396C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#389C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic, complemented
185C17×#380C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C2×D4×D17—24no—
205C2×D4×D17—42no—
206C2×D4×D17—42no—
207C22×D68C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×Dic34C2311yescharacteristic
212C17×#123—42no—
213C17×#123—42no—
214C17×#121—42no—
215C4×D4×C17—42no—
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
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×C42×C17C2311yescharacteristic
236C2×C22⋊Dic17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250#10587625—42no—
251#10587623—24no—
252#10587623—42no—
253#10587622—42no—
254#10587615—42no—
255C2×#63227—24no—
256C2×#63227—42no—
257C2×#63227—42no—
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×C4⋊Dic17—42no—
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297#10587610—42no—
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×C4×Dic17—42no—
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316#10587584—42no—
317#10587582—42no—
318C22⋊C4×D17—42no—
319C17×#95C2311yescharacteristic
320C17×#95C2311yescharacteristic
321C17×#95C2311yescharacteristic
322C17×#95C2311yescharacteristic
323C17×#95C2311yescharacteristic
324C17×#95C2311yescharacteristic
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327#10587502C2311yescharacteristic
328#10587502C2311yescharacteristic
329#10587502C2311yescharacteristic
330#10587502C2311yescharacteristic
331#10587502C2311yescharacteristic
332#10587502C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
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
363C24×C17C2411yescharacteristic
364C24×C17C2411yescharacteristic
365C24×C17C2411yescharacteristic
366C23×D17—22no—
367C23×D17—22no—
368C23×D17—22no—
369C23×D17—41no—
370C23×D17—41no—
371C23×D17—41no—
372C23×D17—41no—
373C23×D17—41no—
374C23×D17—41no—
375C23×D17—41no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17#4114yes—
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C23×D17C2411yescharacteristic
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
388C2×D4×C17—22no—
389C2×D4×C17—22no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—22no—
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×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
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
416C2×C22⋊D17—22no—
417C2×C22⋊D17—22no—
418C2×C22⋊D17—22no—
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—41no—
423C2×C22⋊D17—41no—
424C2×C22⋊D17—41no—
425C2×C22⋊D17—41no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C22×Dic17—22no—
432C22×Dic17—22no—
433C22×Dic17—22no—
434C22×Dic17—41no—
435C22×Dic17—41no—
436C22×Dic17—41no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17—41no—
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453D4×D17—416no—
454C2×D68—22no—
455C2×D68—41no—
456C2×D68—41no—
457C2×C4×D17—22no—
458C2×C4×D17—41no—
459C2×C4×D17—41no—
460C2×C4×D17—41no—
461C2×C4×D17—41no—
462C2×C4×D17—41no—
463C2×C4×D17—41no—
464C2×C4×D17—41no—
465C2×C4×D17—41no—
466C2×Dic34—22no—
467C2×Dic34—41no—
468C2×Dic34—41no—
469C4⋊C4×C17—22no—
470C4⋊C4×C17—41no—
471C4⋊C4×C17—41no—
472C4⋊C4×C17—41no—
473C4⋊C4×C17—41no—
474C4⋊C4×C17—41no—
475C4⋊C4×C17—41no—
476C4⋊C4×C17—41no—
477C22⋊C4×C17—22no—
478C22⋊C4×C17—22no—
479C22⋊C4×C17—41no—
480C22⋊C4×C17—41no—
481C22⋊C4×C17—41no—
482C22⋊C4×C17—41no—
483C22⋊C4×C17—41no—
484C22⋊C4×C17—41no—
485C22⋊C4×C17—41no—
486C22⋊C4×C17—41no—
487C22⋊C4×C17—41no—
488C42×C17—41no—
489C22⋊Dic17—22no—
490C22⋊Dic17—22no—
491C22⋊Dic17—22no—
492C22⋊Dic17—41no—
493C22⋊Dic17—41no—
494C22⋊Dic17—41no—
495C22⋊Dic17—41no—
496C22⋊Dic17—41no—
497C22⋊Dic17—41no—
498C22⋊Dic17—41no—
499C22⋊Dic17—41no—
500C22⋊Dic17—41no—
501C22⋊Dic17—41no—
502C22⋊Dic17—41no—
503#63227—22no—
504#63227—22no—
505#63227—22no—
506#63227—22no—
507#63227—22no—
508#63227—22no—
509#63227—22no—
510#63227—22no—
511#63227—22no—
512#63227—41no—
513#63227—41no—
514#63227—41no—
515#63227—41no—
516#63227—41no—
517#63227—41no—
518#63227—41no—
519#63227—41no—
520#63227—41no—
521#63227—41no—
522#63227—41no—
523#63227—41no—
524#63227—41no—
525#63227—41no—
526#63227—41no—
527#63227—41no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534C4⋊Dic17—41no—
535C4⋊Dic17—41no—
536C4⋊Dic17—41no—
537C4⋊Dic17—41no—
538C4⋊Dic17—41no—
539C4⋊Dic17—41no—
540C4⋊Dic17—41no—
541#63225—41no—
542#63225—41no—
543#63225—41no—
544#63225—41no—
545#63225—41no—
546#63225—41no—
547#63225—41no—
548#63225—41no—
549#63225—41no—
550#63225—41no—
551#63225—41no—
552C4×Dic17—22no—
553C4×Dic17—22no—
554C4×Dic17—41no—
555C4×Dic17—41no—
556C4×Dic17—41no—
557C4×Dic17—41no—
558#36779—171nomaximal, Sylow
559C23×C17—21no—
560C23×C17—21no—
561C23×C17—21no—
562C23×C17—21no—
563C23×C17—21no—
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17C2×#4112yes—
578C23×C17H(5,𝔽2)12yes—
579C23×C17H(5,𝔽2)12yes—
580C23×C17C2511yescharacteristic
581C22×D17—21no—
582C22×D17—21no—
583C22×D17—21no—
584C22×D17—21no—
585C22×D17—21no—
586C22×D17—21no—
587C22×D17—21no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—28no—
594C22×D17—21no—
595C22×D17—21no—
596C22×D17—21no—
597C22×D17—21no—
598C22×D17—21no—
599C22×D17—21no—
600C22×D17—21no—
601C22×D17—44no—
602C22×D17—44no—
603C22×D17—44no—
604C22×D17—82no—
605C22×D17—82no—
606C22×D17—82no—
607C22×D17—82no—
608C22×D17—82no—
609C22×D17—82no—
610C22×D17—82no—
611C22×D17—82no—
612C22×D17—82no—
613C22×D17—82no—
614C22×D17C2×#4112yes—
615C22×D17C2×#4112yes—
616D4×C17—44no—
617D4×C17—44no—
618D4×C17—82no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
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—44no—
655C2×C4×C17—44no—
656C2×C4×C17—82no—
657C2×C4×C17—82no—
658C2×C4×C17H(5,𝔽2)12yes—
659C22⋊D17—44no—
660C22⋊D17—44no—
661C22⋊D17—82no—
662C22⋊D17—82no—
663C22⋊D17—82no—
664C2×Dic17—21no—
665C2×Dic17—21no—
666C2×Dic17—21no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
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—44no—
704C2×Dic17—44no—
705C2×Dic17—82no—
706D68—44no—
707C4×D17—44no—
708C4×D17—82no—
709C4×D17—82no—
710Dic34—82no—
711#2852—171no—
712#2850—171no—
713#2781—171no—
714#2781—171no—
715#2778—171no—
716#2765—171no—
717#2764—171no—
718#2761—171no—
719#2756—171no—
720#2749—171no—
721#2743—171no—
722#2741—171no—
723#2735—171no—
724#2735—171no—
725#2730—171no—
726#2702—171no—
727#2685—171no—
728#2684—171no—
729#2623—171no—
730#2618—171no—
731#2510—171no—
732#2488—171no—
733#2444—171no—
734#2437—171no—
735#2425D1711yescharacteristic, complemented
736#2412—171no—
737#2410—171no—
738#2405—171no—
739#2321—171no—
740#2308—171no—
741C2×#388—171no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—22no—
746C22×C17—22no—
747C22×C17—22no—
748C22×C17—41no—
749C22×C17—41no—
750C22×C17—41no—
751C22×C17—41no—
752C22×C17—41no—
753C22×C17—41no—
754C22×C17—41no—
755C22×C17—41no—
756C22×C17—41no—
757C22×C17—41no—
758C22×C17—41no—
759C22×C17—41no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17#53814yes—
763C22×C17C22×#4111yescharacteristic
764C22×C17C2×H(5,𝔽2)11yescharacteristic
765C22×C17C2×H(5,𝔽2)11yescharacteristic
766C22×C17C2×H(5,𝔽2)11yescharacteristic
767C22×C17#58511yescharacteristic
768C22×C17#58511yescharacteristic
769C22×C17#58511yescharacteristic
770C2×D17—22no—
771C2×D17—22no—
772C2×D17—22no—
773C2×D17—22no—
774C2×D17—22no—
775C2×D17—22no—
776C2×D17—41no—
777C2×D17—41no—
778C2×D17—41no—
779C2×D17—41no—
780C2×D17—41no—
781C2×D17—41no—
782C2×D17—41no—
783C2×D17—41no—
784C2×D17—41no—
785C2×D17—41no—
786C2×D17—41no—
787C2×D17—41no—
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—88no—
792C2×D17—88no—
793C4×C17—22no—
794C4×C17—41no—
795C4×C17—41no—
796C4×C17—41no—
797C4×C17—41no—
798C4×C17—41no—
799C4×C17—41no—
800C4×C17—41no—
801C4×C17—41no—
802C4×C17—41no—
803C4×C17—41no—
804C4×C17—41no—
805Dic17—41no—
806Dic17—41no—
807Dic17—41no—
808Dic17—41no—
809Dic17—41no—
810Dic17—41no—
811Dic17—41no—
812Dic17—41no—
813Dic17—41no—
814Dic17—41no—
815Dic17—41no—
816Dic17—41no—
817Dic17—41no—
818C23×D4—171no—
819C2×#126—171no—
820C2×#124—171no—
821C2×#123—171no—
822C2×#123C2×D1711yescharacteristic
823C2×#123C2×D1711yescharacteristic, complemented
824C2×C22⋊Q8—171no—
825C2×C22⋊Q8—171no—
826C2×#121—171no—
827C2×#121C2×D1711yescharacteristic
828C2×#120—171no—
829C2×#120—171no—
830C2×C4×D4C2×D1711yescharacteristic, complemented
831C22×C4⋊C4—171no—
832C22×C22⋊C4—171no—
833C22×C22⋊C4—171no—
834C22×C22⋊C4—171no—
835C22×C22⋊C4—171no—
836C22×C42—171no—
837#401—171no—
838#400—171no—
839#400—171no—
840#400—171no—
841#400—171no—
842#400—171no—
843#400—171no—
844#399—171no—
845#399—171no—
846#399—171no—
847#398—171no—
848#398—171no—
849#398—171no—
850#398—171no—
851#398C2×D1711yescharacteristic, complemented
852#397—171no—
853#397—171no—
854#397—171no—
855#397—171no—
856#397—171no—
857#397—171no—
858#397—171no—
859#397—171no—
860#397—171no—
861#397C2×D1711yescharacteristic, complemented
862#396—171no—
863#396—171no—
864#396—171no—
865#396—171no—
866#396—171no—
867#396—171no—
868#396C2×D1711yescharacteristic, complemented
869#394—171no—
870#394—171no—
871#394—171no—
872#394—171no—
873#394—171no—
874#394—171no—
875#394—171no—
876#394—171no—
877#394—171no—
878#394—171no—
879#394—171no—
880#394C2×D1711yescharacteristic, complemented
881#393—171no—
882#393—171no—
883#392—171no—
884#392—171no—
885#391—171no—
886#391—171no—
887#390—171no—
888#390—171no—
889#390—171no—
890#389C2×D1711yescharacteristic, complemented
891#388—171no—
892#388—171no—
893#388—171no—
894#388—171no—
895#388—171no—
896#388—171no—
897#388—171no—
898#388—171no—
899#388—171no—
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388C2×D1711yescharacteristic, complemented
916#387—171no—
917#387—171no—
918#387—171no—
919#387—171no—
920#387—171no—
921#386—171no—
922#386—171no—
923#386—171no—
924#386—171no—
925#386—171no—
926#386—171no—
927#386—171no—
928#386—171no—
929#386—171no—
930#386—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386C2×D1711yescharacteristic
941#386C2×D1711yescharacteristic, complemented
942#385—171no—
943#385—171no—
944#385—171no—
945#385—171no—
946#385—171no—
947#385—171no—
948#385—171no—
949#385—171no—
950#385C2×D1711yescharacteristic, complemented
951#383—171no—
952#383—171no—
953#382—171no—
954#382—171no—
955#381—171no—
956#381—171no—
957#381—171no—
958#381—171no—
959#380—171no—
960#380—171no—
961#380—171no—
962#380—171no—
963#380C2×D1711yescharacteristic, complemented
964#379—171no—
965#379—171no—
966#379—171no—
967#379—171no—
968#379—171no—
969#379—171no—
970C4×C22⋊C4—171no—
971C2×#95—171no—
972C2×#95C2×D1711yescharacteristic, complemented
973C2×C17—24no—
974C2×C17—81no—
975C2×C17—81no—
976C2×C17C2×#53811yescharacteristic
977C2×C17#349111yescharacteristic
978C2×C17#350511yescharacteristic
979C2×C17#353411yescharacteristic
980C2×C17#354211yescharacteristic
981C2×C17#354511yescharacteristic
982C2×C17#356011yescharacteristic
983D17—42no—
984D17—42no—
985D17—81no—
986C25—171no—
987C25—171no—
988C22×Q8—171no—
989C22×D4—171no—
990C22×D4—171no—
991C22×D4—171no—
992C22×D4—171no—
993C22×D4—171no—
994C22×D4—171no—
995C22×D4—344no—
996C22×D4—682no—
997C22×D4—682no—
998C22×D4C22×D1711yescharacteristic
999C22×D4C22×D1711yescharacteristic
1000C22×D4C22×D1711yescharacteristic
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4—171no—
1006C23×C4—171no—
1007C23×C4C22×D1711yescharacteristic
1008C23×C4C22×D1711yescharacteristic
1009C23×C4C22×D1711yescharacteristic
1010C23×C4C22×D1711yescharacteristic
1011#126—682no—
1012#124—682no—
1013#123—42no—
1014#123—42no—
1015#123—682no—
1016C22⋊Q8—682no—
1017C22⋊Q8—682no—
1018#121—42no—
1019#121—682no—
1020#120—344no—
1021#120—682no—
1022C4×D4—42no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—171no—
1025C2×C4⋊C4—171no—
1026C2×C4⋊C4—171no—
1027C2×C4⋊C4—171no—
1028C2×C4⋊C4—171no—
1029C2×C4⋊C4—171no—
1030C2×C4⋊C4—171no—
1031C2×C4⋊C4—171no—
1032C2×C4⋊C4—171no—
1033C2×C4⋊C4—171no—
1034C2×C4⋊C4—171no—
1035C2×C4⋊C4—171no—
1036C2×C4⋊C4—171no—
1037C2×C4⋊C4—171no—
1038C2×C4⋊C4—171no—
1039C2×C4⋊C4—171no—
1040C2×C4⋊C4—171no—
1041C2×C4⋊C4—682no—
1042C2×C4⋊C4C22×D1711yescharacteristic
1043C2×C4⋊C4C22×D1711yescharacteristic
1044C2×C4⋊C4C22×D1711yescharacteristic
1045C2×C4⋊C4C22×D1711yescharacteristic
1046C2×C4⋊C4C22×D1711yescharacteristic
1047C2×C4⋊C4C22×D1711yescharacteristic
1048C2×C4⋊C4C22×D1711yescharacteristic
1049C2×C4⋊C4C22×D1711yescharacteristic
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—171no—
1054C2×C22⋊C4—171no—
1055C2×C22⋊C4—171no—
1056C2×C22⋊C4—171no—
1057C2×C22⋊C4—171no—
1058C2×C22⋊C4—171no—
1059C2×C22⋊C4—171no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—171no—
1066C2×C22⋊C4—171no—
1067C2×C22⋊C4—171no—
1068C2×C22⋊C4—171no—
1069C2×C22⋊C4—171no—
1070C2×C22⋊C4—171no—
1071C2×C22⋊C4—171no—
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—171no—
1081C2×C22⋊C4—171no—
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—344no—
1096C2×C22⋊C4—682no—
1097C2×C22⋊C4—682no—
1098C2×C22⋊C4—682no—
1099C2×C22⋊C4C22×D1711yescharacteristic
1100C2×C22⋊C4C22×D1711yescharacteristic
1101C2×C22⋊C4C22×D1711yescharacteristic
1102C2×C22⋊C4C22×D1711yescharacteristic
1103C2×C22⋊C4C22×D1711yescharacteristic
1104C2×C22⋊C4C22×D1711yescharacteristic
1105C2×C22⋊C4C22×D1711yescharacteristic
1106C2×C22⋊C4C22×D1711yescharacteristic
1107C2×C22⋊C4C22×D1711yescharacteristic
1108C2×C22⋊C4C22×D1711yescharacteristic
1109C2×C22⋊C4C22×D1711yescharacteristic
1110C2×C42—171no—
1111C2×C42—171no—
1112C2×C42—171no—
1113C2×C42—171no—
1114C2×C42—171no—
1115C2×C42—171no—
1116C2×C42—682no—
1117C2×C42C22×D1711yescharacteristic
1118#95—171no—
1119#95—171no—
1120#95—171no—
1121#95—171no—
1122#95—171no—
1123#95—171no—
1124#95—171no—
1125#95—171no—
1126#95—171no—
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
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#95C22×D1711yescharacteristic
1155#95C22×D1711yescharacteristic
1156#95C22×D1711yescharacteristic
1157#95C22×D1711yescharacteristic
1158#95C22×D1711yescharacteristic
1159#95C22×D1711yescharacteristic
1160#95C22×D1711yescharacteristic
1161#95C22×D1711yescharacteristic
1162C17#3677911yescharacteristic, complemented, Sylow
1163C24—171no—
1164C24—171no—
1165C24—174no—
1166C24—171no—
1167C24—342no—
1168C24—342no—
1169C24—342no—
1170C24—681no—
1171C24—681no—
1172C24—681no—
1173C24—681no—
1174C24—681no—
1175C24—681no—
1176C24—681no—
1177C24—681no—
1178C24—681no—
1179C24—681no—
1180C24C23×D1711yescharacteristic
1181C24C23×D1711yescharacteristic
1182C24C23×D1711yescharacteristic
1183C2×Q8—342no—
1184C2×Q8—681no—
1185C2×Q8—681no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—342no—
1196C2×D4—342no—
1197C2×D4—342no—
1198C2×D4—342no—
1199C2×D4—342no—
1200C2×D4—342no—
1201C2×D4—342no—
1202C2×D4—681no—
1203C2×D4—681no—
1204C2×D4—681no—
1205C2×D4—681no—
1206C2×D4—681no—
1207C2×D4—681no—
1208C2×D4—681no—
1209C2×D4—681no—
1210C2×D4—681no—
1211C2×D4—681no—
1212C2×D4—681no—
1213C2×D4—6816no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—171no—
1227C22×C4—171no—
1228C22×C4—171no—
1229C22×C4—171no—
1230C22×C4—171no—
1231C22×C4—171no—
1232C22×C4—171no—
1233C22×C4—171no—
1234C22×C4—171no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—171no—
1238C22×C4—171no—
1239C22×C4—342no—
1240C22×C4—342no—
1241C22×C4—342no—
1242C22×C4—342no—
1243C22×C4—681no—
1244C22×C4—681no—
1245C22×C4—681no—
1246C22×C4—681no—
1247C22×C4—681no—
1248C22×C4—681no—
1249C22×C4—681no—
1250C22×C4—681no—
1251C22×C4—681no—
1252C22×C4—681no—
1253C22×C4—681no—
1254C22×C4—681no—
1255C22×C4—681no—
1256C22×C4—681no—
1257C22×C4C23×D1711yescharacteristic
1258C22×C4C23×D1711yescharacteristic
1259C22×C4C23×D1711yescharacteristic
1260C22×C4C23×D1711yescharacteristic
1261C22×C4C23×D1711yescharacteristic
1262C22×C4C23×D1711yescharacteristic
1263C22×C4C23×D1711yescharacteristic
1264C22×C4C23×D1711yescharacteristic
1265C22×C4C23×D1711yescharacteristic
1266C22×C4C23×D1711yescharacteristic
1267C22×C4C23×D1711yescharacteristic
1268C22×C4C23×D1711yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—681no—
1278C4⋊C4—681no—
1279C4⋊C4—681no—
1280C4⋊C4—681no—
1281C4⋊C4—681no—
1282C4⋊C4—681no—
1283C4⋊C4—681no—
1284C4⋊C4—681no—
1285C4⋊C4—681no—
1286C4⋊C4—681no—
1287C4⋊C4—681no—
1288C4⋊C4—681no—
1289C4⋊C4—681no—
1290C4⋊C4—681no—
1291C4⋊C4—681no—
1292C4⋊C4—681no—
1293C4⋊C4—681no—
1294C4⋊C4—681no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—342no—
1307C22⋊C4—342no—
1308C22⋊C4—342no—
1309C22⋊C4—342no—
1310C22⋊C4—342no—
1311C22⋊C4—342no—
1312C22⋊C4—342no—
1313C22⋊C4—342no—
1314C22⋊C4—342no—
1315C22⋊C4—342no—
1316C22⋊C4—342no—
1317C22⋊C4—342no—
1318C22⋊C4—681no—
1319C22⋊C4—681no—
1320C22⋊C4—681no—
1321C22⋊C4—681no—
1322C22⋊C4—681no—
1323C22⋊C4—681no—
1324C22⋊C4—681no—
1325C22⋊C4—681no—
1326C22⋊C4—681no—
1327C22⋊C4—681no—
1328C22⋊C4—681no—
1329C22⋊C4—681no—
1330C22⋊C4—681no—
1331C22⋊C4—681no—
1332C22⋊C4—681no—
1333C22⋊C4—681no—
1334C22⋊C4—681no—
1335C22⋊C4—681no—
1336C22⋊C4—681no—
1337C22⋊C4—681no—
1338C22⋊C4—681no—
1339C22⋊C4—681no—
1340C22⋊C4—681no—
1341C22⋊C4—681no—
1342C22⋊C4—681no—
1343C22⋊C4—681no—
1344C22⋊C4—681no—
1345C22⋊C4—681no—
1346C22⋊C4—681no—
1347C22⋊C4—681no—
1348C22⋊C4—681no—
1349C22⋊C4—681no—
1350C22⋊C4—681no—
1351C42—41no—
1352C42—342no—
1353C42—342no—
1354C42—681no—
1355C42—681no—
1356C42—681no—
1357C42—681no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—172no—
1377C23—172no—
1378C23—341no—
1379C23—341no—
1380C23—341no—
1381C23—341no—
1382C23—341no—
1383C23—341no—
1384C23—341no—
1385C23—341no—
1386C23—341no—
1387C23—341no—
1388C23—341no—
1389C23—341no—
1390C23—348no—
1391C23—341no—
1392C23—341no—
1393C23—341no—
1394C23—341no—
1395C23—341no—
1396C23—341no—
1397C23—341no—
1398C23—684no—
1399C23—684no—
1400C23—684no—
1401C23—1362no—
1402C23—1362no—
1403C23—1362no—
1404C23—1362no—
1405C23—1362no—
1406C23—1362no—
1407C23—1362no—
1408C23—1362no—
1409C23—1362no—
1410C23—1362no—
1411C23#1058769112yes—
1412C23#1058769112yes—
1413C23#41×D1712yes—
1414C23C24×D1711yescharacteristic
1415Q8—1362no—
1416D4—44no—
1417D4—44no—
1418D4—82no—
1419D4—684no—
1420D4—684no—
1421D4—684no—
1422D4—1362no—
1423D4—1362no—
1424D4—1362no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
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—44no—
1461C2×C4—44no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—341no—
1465C2×C4—341no—
1466C2×C4—341no—
1467C2×C4—341no—
1468C2×C4—341no—
1469C2×C4—341no—
1470C2×C4—341no—
1471C2×C4—341no—
1472C2×C4—341no—
1473C2×C4—341no—
1474C2×C4—341no—
1475C2×C4—341no—
1476C2×C4—341no—
1477C2×C4—341no—
1478C2×C4—341no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
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—684no—
1504C2×C4—684no—
1505C2×C4—684no—
1506C2×C4—1362no—
1507C2×C4—1362no—
1508C2×C4—1362no—
1509C2×C4#1058769612yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—342no—
1531C22—342no—
1532C22—342no—
1533C22—342no—
1534C22—342no—
1535C22—342no—
1536C22—681no—
1537C22—681no—
1538C22—681no—
1539C22—681no—
1540C22—681no—
1541C22—681no—
1542C22—681no—
1543C22—681no—
1544C22—681no—
1545C22—681no—
1546C22—681no—
1547C22—681no—
1548C22—681no—
1549C22—681no—
1550C22—681no—
1551C22—1368no—
1552C22—1368no—
1553C22#1176339114yes—
1554C22C2×#41×D1711yescharacteristic
1555C22C2×#1058769111yescharacteristic
1556C22C2×#1058769111yescharacteristic
1557C22C2×#1058769611yescharacteristic
1558C22#1176364411yescharacteristic
1559C22#1176364511yescharacteristic
1560C22#1176364611yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—681no—
1574C4—681no—
1575C4—681no—
1576C4—681no—
1577C4—681no—
1578C4—681no—
1579C4—681no—
1580C4—681no—
1581C4—681no—
1582C4—681no—
1583C4—681no—
1584C4—681no—
1585C4—681no—
1586C2—24no—
1587C2—81no—
1588C2—81no—
1589C2—682no—
1590C2—682no—
1591C2—1361no—
1592C2C2×#1176339111yescharacteristic
1593C2#1454247811yescharacteristic
1594C2#1454261911yescharacteristic
1595C2#1454297011yescharacteristic
1596C2#1454310111yescharacteristic
1597C2#1454313111yescharacteristic
1598C2#1454333211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2425C2
prime radical#14532155C2
hypercenter#2425D17
hypocenterC17#36779
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. #14537101C2semidirect
2. #14537083C2semidirect
3. #14536453C2semidirect
4. #14536446C2semidirect
5. #14536398C2semidirect
6. #14536222C2semidirect
7. #14536203C2semidirect
8. #14536176C2semidirect
9. #14536113C2semidirect
10. #14536011C2semidirect
11. #14535919C2semidirect
12. #14535897C2semidirect
13. #14535827C2semidirect
14. #14535822C2semidirect
15. #14535787C2semidirect
16. #14535410C2semidirect
17. #14535180C2semidirect
18. #14535163C2semidirect
19. #14534566C2semidirect
20. #14534530C2semidirect
21. #14533346C2semidirect
22. #14533110C2semidirect
23. #14532528C2semidirect
24. #14532449C2semidirect
25. #14532176C2semidirect
27. #14532108C2semidirect
28. #14531438C2semidirect
29. #14531358C2semidirect
30. C2×#11762701C2semidirect
31. C17×#2425C2semidirect
33. C2×#10587584C22semidirect
34. C2×#10587622C22semidirect
36. C2×#10587610C22semidirect
37. C2×#10587582C22semidirect
41. C22×C4⋊Dic17C22semidirect
46. C22×C4×Dic17C22semidirect
47. C17⋊#401C22semidirect
48. #11762751C22semidirect
49. #11762750C22semidirect
50. #11762749C22semidirect
51. #11762748C22semidirect
52. #11762748C22semidirect
53. #11762747C22semidirect
54. #11762745C22semidirect
55. #11762745C22semidirect
57. #11762742C22semidirect
58. #11762742C22semidirect
59. #11762739C22semidirect
60. #11762739C22semidirect
61. #11762738C22semidirect
62. #11762737C22semidirect
63. #11762737C22semidirect
66. #11762735C22semidirect
67. #11762734C22semidirect
68. #11762734C22semidirect
69. #11762734C22semidirect
71. #11762732C22semidirect
72. #11762732C22semidirect
74. #11762731C22semidirect
75. #11762731C22semidirect
81. #11762725C22semidirect
82. #11762725C22semidirect
86. #11762724C22semidirect
88. #11762722C22semidirect
91. #11762714C22semidirect
92. #11762713C22semidirect
93. #11762712C22semidirect
95. #11762709C22semidirect
96. #11762703C22semidirect
97. #11762703C22semidirect
98. #11762703C22semidirect
99. #11762703C22semidirect
100. #11762702C22semidirect
105. #11762701C22semidirect
106. #11762701C22semidirect
107. #11762701C22semidirect
108. #11762701C22semidirect
109. #11762701C22semidirect
110. #11762701C22semidirect
112. #11762700C22semidirect
113. #11762700C22semidirect
115. #11762699C22semidirect
116. #11762699C22semidirect
117. #11762698C22semidirect
118. #11762698C22semidirect
119. #11762697C22semidirect
120. #11762696C22semidirect
121. #11762695C22semidirect
122. #11762693C22semidirect
123. #11762692C22semidirect
124. #11762690C22semidirect
128. #11762689C22semidirect
129. #11762689C22semidirect
133. #11762688C22semidirect
134. #11762688C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762684C22semidirect
145. #11762683C22semidirect
146. #11762681C22semidirect
147. #11762681C22semidirect
151. #11762680C22semidirect
152. #11762676C22semidirect
153. #11762676C22semidirect
154. #11762674C22semidirect
155. #11762673C22semidirect
156. #11762672C22semidirect
157. #11762672C22semidirect
160. #11762668C22semidirect
161. #11762667C22semidirect
162. #11762666C22semidirect
163. #11762666C22semidirect
170. C4×C22⋊Dic17C22semidirect
171. C2×#10587502C22semidirect
173. C2×C17×#123C22semidirect
175. C2×C4×D4×C17C22semidirect
176. C17×#398C22semidirect
177. C17×#397C22semidirect
178. C17×#396C22semidirect
179. C17×#394C22semidirect
180. C17×#389C22semidirect
181. C17×#388C22semidirect
183. C17×#386C22semidirect
184. C17×#385C22semidirect
185. C17×#380C22semidirect
186. C2×C17×#95C22semidirect
735. #2425D17semidirect
823. C2×#123C2×D17semidirect
830. C2×C4×D4C2×D17semidirect
851. #398C2×D17semidirect
861. #397C2×D17semidirect
868. #396C2×D17semidirect
880. #394C2×D17semidirect
890. #389C2×D17semidirect
915. #388C2×D17semidirect
941. #386C2×D17semidirect
950. #385C2×D17semidirect
963. #380C2×D17semidirect
972. C2×#95C2×D17semidirect
1162. C17#36779semidirect

Maximal subgroups

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

subgroupindex
#145371012
#145370832
#145364532
#145364462
#145363982
#145362222
#145362032
#145361762
#145361132
#145360112
#145359192
#145358972
#145358272
#145358222
#145357872
#145354102
#145351802
#145351632
#145345662
#145345302
#145333462
#145331102
#145325282
#145324492
#145321762
#145321552
#145321082
#145314382
#145313582
C2×#117627012
C17×#24252
#3677917