Finite Group Databasebeta

← #17197855

Subgroups — #17197855

Order 4352.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763398C211yesmaximal, characteristic
2#14531957C211yesmaximal, characteristic, complemented
3#14531940C211yesmaximal, characteristic, complemented
4#14531933C211yesmaximal, characteristic, complemented
5#14531908C211yesmaximal, characteristic, complemented
6#14531861C211yesmaximal, characteristic, complemented
7#14531850C211yesmaximal, characteristic, complemented
8#14531830C211yesmaximal, characteristic, complemented
9#14531799C211yesmaximal, characteristic, complemented
10#14531797C211yesmaximal, characteristic, complemented
11#14531786C211yesmaximal, characteristic, complemented
12#14531773C211yesmaximal, characteristic, complemented
13#14531717C211yesmaximal, characteristic, complemented
14#14531708C211yesmaximal, characteristic, complemented
15#14531693C211yesmaximal, characteristic, complemented
16#14531684C211yesmaximal, characteristic, complemented
17#14531594C211yesmaximal, characteristic, complemented
18#14531573C211yesmaximal, characteristic, complemented
19#14531565C211yesmaximal, characteristic, complemented
20#14531558C211yesmaximal, characteristic, complemented
21#14531492C211yesmaximal, characteristic, complemented
22#14531483C211yesmaximal, characteristic, complemented
23#14531475C211yesmaximal, characteristic, complemented
24#14531448C211yesmaximal, characteristic, complemented
25#14531446C211yesmaximal, characteristic, complemented
26#14531437C211yesmaximal, characteristic, complemented
27#14531378C211yesmaximal, characteristic, complemented
28#14531285C211yesmaximal, characteristic, complemented
29#14531285C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2383C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33#11763398C4116yescomplemented
34C2×#10587584C2211yescharacteristic
35C2×#10587561C2211yescharacteristic
36C2×#10587571C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587582C2211yescharacteristic
40C2×#10587581C2211yescharacteristic
41C2×#10587581C2211yescharacteristic
42C2×#10587570C2211yescharacteristic
43C2×#10587568C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587573C2211yescharacteristic, complemented
46C2×C4×D68C2211yescharacteristic
47C2×C4×D68C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic, complemented
49C2×#10587579C2211yescharacteristic
50C2×#10587579C2211yescharacteristic
51C2×#10587579C2211yescharacteristic
52C2×#10587579C2211yescharacteristic
53C2×#10587579C2211yescharacteristic
54C2×#10587579C2211yescharacteristic
55C2×#10587567C2211yescharacteristic
56C2×#10587567C2211yescharacteristic
57C2×#10587558C2211yescharacteristic, complemented
58C2×C4⋊C4×D17C2211yescharacteristic
59C2×C4⋊C4×D17C2211yescharacteristic
60C2×C4⋊C4×D17C2211yescharacteristic, complemented
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63#11762714C2211yescharacteristic, complemented
64#11762713C2211yescharacteristic, complemented
65#11762713C2211yescharacteristic, complemented
66#11762711C2211yescharacteristic
67#11762710C2211yescharacteristic
68#11762710C2211yescharacteristic, complemented
69#11762709C2211yescharacteristic
70#11762709C2211yescharacteristic
71#11762708C2211yescharacteristic, complemented
72#11762706C2211yescharacteristic, complemented
73#11762705C2211yescharacteristic, complemented
74#11762705C2211yescharacteristic, complemented
75#11762704C2211yescharacteristic, complemented
76#11762703C2211yescharacteristic
77#11762702C2211yescharacteristic
78#11762702C2211yescharacteristic
79#11762702C2211yescharacteristic
80#11762701C2211yescharacteristic
81#11762701C2211yescharacteristic
82#11762701C2211yescharacteristic, complemented
83#11762701C2211yescharacteristic, complemented
84#11762700C2211yescharacteristic
85#11762700C2211yescharacteristic
86#11762699C2211yescharacteristic
87#11762699C2211yescharacteristic
88#11762699C2211yescharacteristic, complemented
89#11762699C2211yescharacteristic, complemented
90#11762698C2211yescharacteristic
91#11762698C2211yescharacteristic
92#11762698C2211yescharacteristic, complemented
93#11762698C2211yescharacteristic, complemented
94#11762698C2211yescharacteristic, complemented
95#11762698C2211yescharacteristic, complemented
96#11762697C2211yescharacteristic
97#11762696C2211yescharacteristic, complemented
98#11762695C2211yescharacteristic, complemented
99#11762695C2211yescharacteristic, complemented
100#11762695C2211yescharacteristic, complemented
101#11762694C2211yescharacteristic, complemented
102#11762694C2211yescharacteristic, complemented
103#11762691C2211yescharacteristic, complemented
104#11762691C2211yescharacteristic, complemented
105#11762690C2211yescharacteristic, complemented
106#11762688C2211yescharacteristic
107#11762688C2211yescharacteristic
108#11762687C2211yescharacteristic
109#11762687C2211yescharacteristic
110#11762687C2211yescharacteristic
111#11762687C2211yescharacteristic
112#11762687C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic, complemented
117#11762687C2211yescharacteristic, complemented
118#11762685C2211yescharacteristic
119#11762685C2211yescharacteristic
120#11762684C2211yescharacteristic
121#11762683C2211yescharacteristic
122#11762683C2211yescharacteristic
123#11762683C2211yescharacteristic
124#11762683C2211yescharacteristic, complemented
125#11762682C2211yescharacteristic
126#11762681C2211yescharacteristic
127#11762680C2211yescharacteristic
128#11762680C2211yescharacteristic
129#11762680C2211yescharacteristic
130#11762680C2211yescharacteristic
131#11762680C2211yescharacteristic
132#11762680C2211yescharacteristic
133#11762680C2211yescharacteristic
134#11762680C2211yescharacteristic, complemented
135#11762680C2211yescharacteristic, complemented
136#11762680C2211yescharacteristic, complemented
137#11762680C2211yescharacteristic, complemented
138#11762680C2211yescharacteristic, complemented
139#11762674C2211yescharacteristic, complemented
140#11762673C2211yescharacteristic, complemented
141#11762671C2211yescharacteristic, complemented
142#11762668C2211yescharacteristic
143#11762668C2211yescharacteristic, complemented
144#11762666C2211yescharacteristic
145#11762666C2211yescharacteristic, complemented
146#11762666C2211yescharacteristic, complemented
147#11762664C2211yescharacteristic
148#11762664C2211yescharacteristic
149C4⋊C4×Dic17C2211yescharacteristic, complemented
150C4⋊C4×Dic17C2211yescharacteristic, complemented
151C4×#63225C2211yescharacteristic, complemented
152C4×#63225C2211yescharacteristic, complemented
153C4×#63225C2211yescharacteristic, complemented
154C4×C4⋊Dic17C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic
157C22⋊C4×Dic17C2211yescharacteristic
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic, complemented
161#11762656C2211yescharacteristic
162#11762656C2211yescharacteristic
163#11762656C2211yescharacteristic
164#11762656C2211yescharacteristic
165#11762656C2211yescharacteristic
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762655C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic, complemented
173C2×C17×#126C2211yescharacteristic
174C17×#389C2211yescharacteristic, complemented
175C17×#389C2211yescharacteristic, complemented
176C17×#389C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic
178C17×#388C2211yescharacteristic
179C17×#388C2211yescharacteristic
180C17×#387C2211yescharacteristic, complemented
181C17×#387C2211yescharacteristic, complemented
182C17×#387C2211yescharacteristic, complemented
183C17×#385C2211yescharacteristic
184C17×#385C2211yescharacteristic
185C17×#385C2211yescharacteristic
186C17×#384C2211yescharacteristic, complemented
187C17×#383C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C23×C4×C17C2311yescharacteristic
190C22×C22⋊D17C2311yescharacteristic
191C22×C22⋊D17C2311yescharacteristic
192C23×Dic17C2311yescharacteristic
193C22×D68C2311yescharacteristic
194C22×D68C2311yescharacteristic
195C22×D68C2311yescharacteristic
196C22×D68C2311yescharacteristic
197C22×D68C2311yescharacteristic
198C22×C4×D17—42no—
199C22×C4×D17—42no—
200C22×C4×D17—42no—
201C22×C4×D17C2311yescharacteristic
202C22×C4×D17C2311yescharacteristic
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×Dic34C2311yescharacteristic
216C17×#126C2×C418yescomplemented
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×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊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×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×#63227C2311yescharacteristic
244C2×#63227C2311yescharacteristic
245C2×#63227C2311yescharacteristic
246C2×#63227C2311yescharacteristic
247C2×#63227C2311yescharacteristic
248C2×#63227C2311yescharacteristic
249C2×#63227C2311yescharacteristic
250C2×#63227C2311yescharacteristic
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
276C2×C4⋊Dic17C2311yescharacteristic
277C2×C4⋊Dic17C2311yescharacteristic
278C2×C4⋊Dic17C2311yescharacteristic
279C2×C4⋊Dic17C2311yescharacteristic
280C2×C4⋊Dic17C2311yescharacteristic
281C2×#63225C2311yescharacteristic
282C2×#63225C2311yescharacteristic
283C2×#63225C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×C4×Dic17C2311yescharacteristic
294C2×C4×Dic17C2311yescharacteristic
295C2×C4×Dic17C2311yescharacteristic
296C2×C4×Dic17C2311yescharacteristic
297C2×C4×Dic17C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307#10587584C2×C418yescomplemented
308#10587582C2×C418yescomplemented
309#10587581C2×C418yescomplemented
310#10587581C2×C418yescomplemented
311#10587580C2×C418yescomplemented
312#10587579—42no—
313#10587579—42no—
314#10587579—42no—
315#10587579—42no—
316#10587579—42no—
317#10587579C2×C418yescomplemented
318C4⋊C4×D17—42no—
319C4⋊C4×D17—42no—
320C4⋊C4×D17—42no—
321#10587573—42no—
322#10587571C2×C418yescomplemented
323#10587570C2×C418yescomplemented
324#10587569C2×C418yescomplemented
325#10587568C2×C418yescomplemented
326#10587568C2×C418yescomplemented
327#10587567—42no—
328#10587567—42no—
329C22⋊C4×D17—42no—
330C22⋊C4×D17C2×C418yescomplemented
331#10587561C2×C418yescomplemented
332C4×D68—42no—
333C4×D68—42no—
334C4×D68C2×C418yescomplemented
335#10587558—42no—
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17C2411yescharacteristic
377C23×D17—22no—
378C23×D17—22no—
379C23×D17—41no—
380C23×D17—41no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17C22×C414yes—
384C23×D17C2411yescharacteristic
385C23×D17C2411yescharacteristic
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C22×C4×C17—41no—
389C22×C4×C17—41no—
390C22×C4×C17—41no—
391C22×C4×C17C2411yescharacteristic
392C22×C4×C17C2411yescharacteristic
393C22×C4×C17C2411yescharacteristic
394C22×C4×C17C2411yescharacteristic
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C2×C22⋊D17—41no—
406C2×C22⋊D17—41no—
407C2×C22⋊D17—41no—
408C2×C22⋊D17—41no—
409C2×C22⋊D17C22×C414yes—
410C2×C22⋊D17C22×C414yes—
411C22×Dic17—22no—
412C22×Dic17—22no—
413C22×Dic17—41no—
414C22×Dic17C2411yescharacteristic
415C22×Dic17C2411yescharacteristic
416C22×Dic17C2411yescharacteristic
417C22×Dic17C2411yescharacteristic
418C22×Dic17C2411yescharacteristic
419C22×Dic17C2411yescharacteristic
420C22×Dic17C2411yescharacteristic
421C22×Dic17C2411yescharacteristic
422C22×Dic17C2411yescharacteristic
423C22×Dic17C2411yescharacteristic
424C22×Dic17C2411yescharacteristic
425C22×Dic17C2411yescharacteristic
426C2×D68—22no—
427C2×D68—22no—
428C2×D68—22no—
429C2×D68—22no—
430C2×D68—41no—
431C2×D68—41no—
432C2×D68—41no—
433C2×D68—41no—
434C2×D68—41no—
435C2×D68—41no—
436C2×D68C22×C414yes—
437C2×D68C22×C414yes—
438C2×D68C22×C414yes—
439C2×D68C22×C414yes—
440C2×D68C22×C414yescomplemented
441C2×C4×D17—22no—
442C2×C4×D17—22no—
443C2×C4×D17—22no—
444C2×C4×D17—22no—
445C2×C4×D17—22no—
446C2×C4×D17—22no—
447C2×C4×D17—22no—
448C2×C4×D17—22no—
449C2×C4×D17—22no—
450C2×C4×D17—22no—
451C2×C4×D17—41no—
452C2×C4×D17—41no—
453C2×C4×D17—41no—
454C2×C4×D17—41no—
455C2×C4×D17—41no—
456C2×C4×D17—41no—
457C2×C4×D17—41no—
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—416no—
466C2×C4×D17—41no—
467C2×C4×D17—41no—
468C2×C4×D17—41no—
469C2×C4×D17—41no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×C4×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17C22×C414yes—
481C2×C4×D17C22×C414yes—
482C2×C4×D17C22×C414yescomplemented
483C2×C4×D17C22×C414yescomplemented
484C2×Dic34—41no—
485C2×Dic34—41no—
486C2×Dic34C22×C414yescomplemented
487C4⋊C4×C17—41no—
488C4⋊C4×C17—41no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17—41no—
495C4⋊C4×C17—41no—
496C4⋊C4×C17C22×C414yescomplemented
497C4⋊C4×C17C22×C414yescomplemented
498C4⋊C4×C17C22×C414yescomplemented
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17C22×C414yes—
503C22⋊C4×C17C22×C414yes—
504C22⋊C4×C17C22×C414yes—
505C42×C17—41no—
506C42×C17—41no—
507C42×C17—41no—
508C42×C17C22×C414yescomplemented
509C22⋊Dic17—41no—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17C22×C414yes—
513#63227—22no—
514#63227—22no—
515#63227—22no—
516#63227—22no—
517#63227—22no—
518#63227—22no—
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—
534#63227—41no—
535#63227C22×C414yes—
536#63227C22×C414yes—
537#63227C22×C414yes—
538#63227C22×C414yes—
539#63227C22×C414yes—
540#63227C22×C414yes—
541#63227C22×C414yescomplemented
542#63227C22×C414yescomplemented
543#63227C22×C414yescomplemented
544#63227C22×C414yescomplemented
545C4⋊Dic17—22no—
546C4⋊Dic17—22no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550C4⋊Dic17C22×C414yescomplemented
551#63225—22no—
552#63225—22no—
553#63225—22no—
554#63225—22no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225C22×C414yescomplemented
562#63225C22×C414yescomplemented
563C4×Dic17—22no—
564C4×Dic17—22no—
565C4×Dic17—41no—
566C4×Dic17—41no—
567C4×Dic17—41no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573C4×Dic17—41no—
574C4×Dic17—41no—
575C4×Dic17—41no—
576C4×Dic17C22×C414yescomplemented
577#34416—171nomaximal, Sylow
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17C23×C412yes—
585C23×C17C2511yescharacteristic
586C22×D17—21no—
587C22×D17—21no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—21no—
594C22×D17—21no—
595C22×D17—21no—
596C22×D17—21no—
597C22×D17—21no—
598C22×D17—21no—
599C22×D17—21no—
600C22×D17—21no—
601C22×D17—21no—
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—28no—
609C22×D17—44no—
610C22×D17—44no—
611C22×D17—44no—
612C22×D17—44no—
613C22×D17—44no—
614C22×D17—44no—
615C22×D17C23×C412yes—
616C22×D17C23×C412yes—
617C22×D17C23×C412yes—
618C22×D17C23×C412yes—
619C22×D17H(5,𝔽2)12yes—
620C22×D172−1+412yes—
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—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—44no—
658C2×C4×C17C23×C412yes—
659C2×C4×C17C23×C412yes—
660C2×C4×C17C23×C412yes—
661C2×C4×C17C23×C412yes—
662C2×C4×C17C23×C412yes—
663C2×C4×C17C23×C412yes—
664C22⋊D17—44no—
665C22⋊D17—44no—
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—44no—
697C2×Dic17C23×C412yes—
698C2×Dic17C23×C412yes—
699C2×Dic17C23×C412yes—
700C2×Dic17C23×C412yes—
701C2×Dic17H(5,𝔽2)12yes—
702C2×Dic17H(5,𝔽2)12yes—
703D68—28no—
704D68—28no—
705D68—44no—
706D68—44no—
707D68—44no—
708C4×D17—44no—
709C4×D17—44no—
710C4×D17—44no—
711C4×D17—44no—
712C4×D17—44no—
713C4×D17—44no—
714C4×D17—44no—
715C4×D17—44no—
716C4×D17—82no—
717C4×D17—82no—
718C4×D17—82no—
719C4×D17—82no—
720C4×D17—82no—
721C4×D17—82no—
722Dic34—44no—
723C2×#538—171no—
724#2383D1711yescharacteristic, complemented
725#2379—171no—
726#2377—171no—
727#2376—171no—
728#2373—171no—
729#2368—171no—
730#2367—171no—
731#2364—171no—
732#2361—171no—
733#2361—171no—
734#2360—171no—
735#2359—171no—
736#2353—171no—
737#2352—171no—
738#2349—171no—
739D4×C4⋊C4—171no—
740#2337—171no—
741#2335—171no—
742#2334—171no—
743#2334—171no—
744#2326—171no—
745#2325—171no—
746#2324—171no—
747#2322—171no—
748#2321—171no—
749#2321—171no—
750#2312—171no—
751C4×#120—171no—
752C4×#120—171no—
753C2×#385—171no—
754C22×C17—22no—
755C22×C17—22no—
756C22×C17—22no—
757C22×C17—41no—
758C22×C17—41no—
759C22×C17—41no—
760C22×C17—41no—
761C22×C17C24×C411yescharacteristic
762C22×C17C2×H(5,𝔽2)11yescharacteristic
763C22×C17C2×H(5,𝔽2)11yescharacteristic
764C22×C17C2×H(5,𝔽2)11yescharacteristic
765C22×C17C2×2−1+411yescharacteristic
766C22×C17#58511yescharacteristic
767C22×C17#58511yescharacteristic
768C2×D17—22no—
769C2×D17—22no—
770C2×D17—22no—
771C2×D17—22no—
772C2×D17—22no—
773C2×D17—22no—
774C2×D17—22no—
775C2×D17—22no—
776C2×D17—22no—
777C2×D17—22no—
778C2×D17—22no—
779C2×D17—22no—
780C2×D17—22no—
781C2×D17—22no—
782C2×D17—22no—
783C2×D17—416no—
784C2×D17—41no—
785C2×D17—41no—
786C2×D17—41no—
787C2×D17—41no—
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17#52014yes—
797C4×C17—22no—
798C4×C17—22no—
799C4×C17—22no—
800C4×C17—22no—
801C4×C17—22no—
802C4×C17—22no—
803C4×C17—41no—
804C4×C17—41no—
805C4×C17—41no—
806C4×C17—41no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811Dic17—22no—
812Dic17—22no—
813Dic17—22no—
814Dic17—22no—
815Dic17—22no—
816Dic17—22no—
817Dic17—41no—
818Dic17—41no—
819Dic17—41no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823C24×C4—171no—
824#538—1716no—
825C2×#126—171no—
826C2×#126C2×D1711yescharacteristic
827C2×#124—171no—
828C2×#124—171no—
829C2×#123—171no—
830C2×#123—171no—
831C2×C22⋊Q8—171no—
832C2×#121—171no—
833C2×#121—171no—
834C2×#121—171no—
835C2×#120—171no—
836C2×#120—171no—
837C2×C4×Q8—171no—
838C2×C4×D4—171no—
839C2×C4×D4—171no—
840C2×C4×D4—171no—
841C2×C4×D4—171no—
842C2×C4×D4—171no—
843C2×C4×D4—171no—
844C2×C4×D4—171no—
845C2×C4×D4—171no—
846C2×C4×D4—171no—
847C2×C4×D4—171no—
848C2×C4×D4—171no—
849C2×#117—171no—
850C22×C4⋊C4—171no—
851C22×C4⋊C4—171no—
852C22×C4⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4—171no—
855#391—171no—
856#391—171no—
857#391—171no—
858#390—171no—
859#390—171no—
860#390—171no—
861#390—171no—
862#390—171no—
863#389—171no—
864#389—171no—
865#389—171no—
866#389—171no—
867#389—171no—
868#389C2×D1711yescharacteristic, complemented
869#389C2×D1711yescharacteristic, complemented
870#389C2×D1711yescharacteristic, complemented
871#388—171no—
872#388—171no—
873#388—171no—
874#388—171no—
875#388—171no—
876#388—171no—
877#388—171no—
878#388—171no—
879#388—171no—
880#388—171no—
881#388—171no—
882#388—171no—
883#388—171no—
884#388—171no—
885#388—171no—
886#388—171no—
887#388—171no—
888#388—171no—
889#388—171no—
890#388—171no—
891#388—171no—
892#388C2×D1711yescharacteristic
893#388C2×D1711yescharacteristic
894#388C2×D1711yescharacteristic
895#387—171no—
896#387—171no—
897#387—171no—
898#387—171no—
899#387—171no—
900#387—171no—
901#387—171no—
902#387—171no—
903#387—171no—
904#387C2×D1711yescharacteristic, complemented
905#387C2×D1711yescharacteristic, complemented
906#387C2×D1711yescharacteristic, complemented
907#386—171no—
908#386—171no—
909#386—171no—
910#386—171no—
911#386—171no—
912#386—171no—
913#386—171no—
914#386—171no—
915#386—171no—
916#386—171no—
917#386—171no—
918#386—171no—
919#386—171no—
920#386—171no—
921#385—171no—
922#385—171no—
923#385—171no—
924#385—171no—
925#385—171no—
926#385—171no—
927#385—171no—
928#385—171no—
929#385—171no—
930#385—171no—
931#385—171no—
932#385—171no—
933#385—171no—
934#385—171no—
935#385—171no—
936#385—171no—
937#385—171no—
938#385—171no—
939#385—171no—
940#385C2×D1711yescharacteristic
941#385C2×D1711yescharacteristic
942#385C2×D1711yescharacteristic
943#384C2×D1711yescharacteristic, complemented
944#383C2×D1711yescharacteristic, complemented
945#382—171no—
946#382—171no—
947#381—171no—
948#380—171no—
949#380—171no—
950#380—171no—
951#380—171no—
952#380—171no—
953#379—171no—
954#379—171no—
955C4×C4⋊C4—171no—
956C4×C4⋊C4—171no—
957C4×C4⋊C4—171no—
958C4×C4⋊C4—171no—
959C4×C4⋊C4—171no—
960C4×C4⋊C4—171no—
961C4×C4⋊C4—171no—
962C4×C22⋊C4—171no—
963C4×C22⋊C4—171no—
964C4×C22⋊C4—171no—
965C4×C22⋊C4—171no—
966C4×C22⋊C4—171no—
967C4×C22⋊C4—171no—
968C4×C22⋊C4—171no—
969C4×C22⋊C4—171no—
970C4×C22⋊C4—171no—
971C4×C22⋊C4—171no—
972C4×C22⋊C4—171no—
973C4×C22⋊C4—171no—
974C4×C22⋊C4—171no—
975#376—171no—
976C2×#95—171no—
977C2×#95—171no—
978C2×#95—171no—
979C2×C17—42no—
980C2×C17C2×#52011yescharacteristic
981C2×C17C4×H(5,𝔽2)11yescharacteristic
982C2×C17C4×H(5,𝔽2)11yescharacteristic
983C2×C17#353211yescharacteristic
984C2×C17#353311yescharacteristic
985C2×C17#354111yescharacteristic
986C2×C17#354111yescharacteristic
987D17—24no—
988D17—42no—
989D17—42no—
990D17—42no—
991C25—171no—
992C22×Q8—171no—
993C22×D4—171no—
994C22×D4—171no—
995C22×D4—171no—
996C22×D4—171no—
997C22×D4—171no—
998C22×D4—171no—
999C22×D4—171no—
1000C23×C4—171no—
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4—171no—
1006C23×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—682no—
1016C23×C4—682no—
1017C23×C4—682no—
1018C23×C4C22×D1711yescharacteristic
1019#126—178no—
1020#126C4×D1718yescomplemented
1021#124—178no—
1022#124—178no—
1023#123—178no—
1024#123—178no—
1025C22⋊Q8—178no—
1026#121—178no—
1027#121—178no—
1028#121—178no—
1029#120—178no—
1030#120—178no—
1031C4×Q8—682no—
1032C4×D4—178no—
1033C4×D4—178no—
1034C4×D4—682no—
1035C4×D4—682no—
1036C4×D4—682no—
1037C4×D4—682no—
1038C4×D4—682no—
1039C4×D4—682no—
1040C4×D4—682no—
1041C4×D4—682no—
1042C4×D4—682no—
1043#117—682no—
1044C2×C4⋊C4—171no—
1045C2×C4⋊C4—171no—
1046C2×C4⋊C4—171no—
1047C2×C4⋊C4—171no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—682no—
1063C2×C4⋊C4—682no—
1064C2×C4⋊C4—682no—
1065C2×C4⋊C4C22×D1711yescharacteristic
1066C2×C4⋊C4C22×D1711yescharacteristic
1067C2×C4⋊C4C22×D1711yescharacteristic
1068C2×C4⋊C4C22×D1711yescharacteristic
1069C2×C4⋊C4C22×D1711yescharacteristic
1070C2×C4⋊C4C22×D1711yescharacteristic
1071C2×C4⋊C4C22×D1711yescharacteristic
1072C2×C4⋊C4C22×D1711yescharacteristic
1073C2×C4⋊C4C22×D1711yescharacteristic
1074C2×C4⋊C4C22×D1711yescharacteristic
1075C2×C4⋊C4C22×D1711yescharacteristic
1076C2×C4⋊C4C22×D1711yescharacteristic
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—178no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—682no—
1115C2×C22⋊C4C22×D1711yescharacteristic
1116C2×C22⋊C4C22×D1711yescharacteristic
1117C2×C22⋊C4C22×D1711yescharacteristic
1118C2×C22⋊C4C22×D1711yescharacteristic
1119C2×C22⋊C4C22×D1711yescharacteristic
1120C2×C22⋊C4C22×D1711yescharacteristic
1121C2×C42—171no—
1122C2×C42—171no—
1123C2×C42—171no—
1124C2×C42—171no—
1125C2×C42—171no—
1126C2×C42—171no—
1127C2×C42—171no—
1128C2×C42—171no—
1129C2×C42—171no—
1130C2×C42—171no—
1131C2×C42—171no—
1132C2×C42—171no—
1133C2×C42—171no—
1134C2×C42—171no—
1135C2×C42C22×D1711yescharacteristic
1136C2×C42C22×D1711yescharacteristic
1137C2×C42C22×D1711yescharacteristic
1138C2×C42C22×D1711yescharacteristic
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#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95C22×D1711yescharacteristic
1168#95C22×D1711yescharacteristic
1169#95C22×D1711yescharacteristic
1170#95C22×D1711yescharacteristic
1171#95C22×D1711yescharacteristic
1172#95C22×D1711yescharacteristic
1173#95C22×D1711yescharacteristic
1174#95C22×D1711yescharacteristic
1175#95C22×D1711yescharacteristic
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179C17#3441611yescharacteristic, complemented, Sylow
1180C24—171no—
1181C24—171no—
1182C24—171no—
1183C24—171no—
1184C24—174no—
1185C24—342no—
1186C24—342no—
1187C24—681no—
1188C24—681no—
1189C24—681no—
1190C24—681no—
1191C24C23×D1711yescharacteristic
1192C2×Q8—174no—
1193C2×Q8—681no—
1194C2×Q8—681no—
1195C2×D4—174no—
1196C2×D4—174no—
1197C2×D4—174no—
1198C2×D4—174no—
1199C2×D4—174no—
1200C2×D4—174no—
1201C2×D4—174no—
1202C2×D4—342no—
1203C2×D4—342no—
1204C2×D4—342no—
1205C2×D4—342no—
1206C2×D4—681no—
1207C2×D4—681no—
1208C2×D4—681no—
1209C2×D4—681no—
1210C2×D4—681no—
1211C2×D4—681no—
1212C2×D4—681no—
1213C2×D4—681no—
1214C2×D4—681no—
1215C2×D4—681no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—171no—
1220C22×C4—171no—
1221C22×C4—171no—
1222C22×C4—171no—
1223C22×C4—171no—
1224C22×C4—171no—
1225C22×C4—174no—
1226C22×C4—174no—
1227C22×C4—174no—
1228C22×C4—174no—
1229C22×C4—171no—
1230C22×C4—171no—
1231C22×C4—171no—
1232C22×C4—171no—
1233C22×C4—171no—
1234C22×C4—171no—
1235C22×C4—342no—
1236C22×C4—342no—
1237C22×C4—342no—
1238C22×C4—342no—
1239C22×C4—342no—
1240C22×C4—342no—
1241C22×C4—342no—
1242C22×C4—342no—
1243C22×C4—342no—
1244C22×C4—342no—
1245C22×C4—342no—
1246C22×C4—342no—
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×C4—681no—
1258C22×C4—681no—
1259C22×C4—681no—
1260C22×C4—681no—
1261C22×C4—681no—
1262C22×C4—681no—
1263C22×C4—681no—
1264C22×C4—681no—
1265C22×C4—681no—
1266C22×C4—681no—
1267C22×C4—681no—
1268C22×C4—681no—
1269C22×C4—681no—
1270C22×C4—681no—
1271C22×C4—681no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—6816no—
1276C22×C4—681no—
1277C22×C4C23×D1711yescharacteristic
1278C22×C4C23×D1711yescharacteristic
1279C22×C4C23×D1711yescharacteristic
1280C22×C4C23×D1711yescharacteristic
1281C22×C4C23×D1711yescharacteristic
1282C22×C4C23×D1711yescharacteristic
1283C22×C4C23×D1711yescharacteristic
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—174no—
1301C4⋊C4—174no—
1302C4⋊C4—174no—
1303C4⋊C4—342no—
1304C4⋊C4—342no—
1305C4⋊C4—342no—
1306C4⋊C4—342no—
1307C4⋊C4—342no—
1308C4⋊C4—342no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C4⋊C4—681no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4C2×C4×D1714yescomplemented
1319C4⋊C4C2×C4×D1714yescomplemented
1320C4⋊C4C2×C4×D1714yescomplemented
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—174no—
1325C22⋊C4—174no—
1326C22⋊C4—174no—
1327C22⋊C4—174no—
1328C22⋊C4—174no—
1329C22⋊C4—174no—
1330C22⋊C4—174no—
1331C22⋊C4—174no—
1332C22⋊C4—174no—
1333C22⋊C4—174no—
1334C22⋊C4—174no—
1335C22⋊C4—342no—
1336C22⋊C4—342no—
1337C22⋊C4—342no—
1338C22⋊C4—342no—
1339C22⋊C4—342no—
1340C22⋊C4—342no—
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—
1351C22⋊C4—681no—
1352C22⋊C4—681no—
1353C22⋊C4—681no—
1354C22⋊C4—681no—
1355C22⋊C4—681no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4C2×C4×D1714yes—
1361C22⋊C4C2×C4×D1714yes—
1362C22⋊C4C2×C4×D1714yes—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—174no—
1367C42—342no—
1368C42—342no—
1369C42—681no—
1370C42—681no—
1371C42—681no—
1372C42—681no—
1373C42—681no—
1374C42—681no—
1375C42—681no—
1376C42—681no—
1377C42—681no—
1378C42—681no—
1379C42—681no—
1380C42C2×C4×D1714yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—172no—
1388C23—172no—
1389C23—172no—
1390C23—172no—
1391C23—172no—
1392C23—172no—
1393C23—348no—
1394C23—341no—
1395C23—341no—
1396C23—341no—
1397C23—341no—
1398C23—341no—
1399C23—341no—
1400C23—341no—
1401C23—341no—
1402C23—341no—
1403C23—341no—
1404C23—341no—
1405C23—341no—
1406C23—341no—
1407C23—341no—
1408C23—341no—
1409C23—341no—
1410C23—341no—
1411C23—341no—
1412C23—341no—
1413C23—341no—
1414C23—341no—
1415C23—341no—
1416C23—684no—
1417C23—684no—
1418C23—684no—
1419C23—684no—
1420C23—684no—
1421C23—684no—
1422C23C22×C4×D1712yes—
1423C23C24×D1711yescharacteristic
1424Q8—684no—
1425D4—348no—
1426D4—348no—
1427D4—684no—
1428D4—684no—
1429D4—684no—
1430D4—684no—
1431D4—684no—
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—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—44no—
1469C2×C4—172no—
1470C2×C4—172no—
1471C2×C4—172no—
1472C2×C4—172no—
1473C2×C4—172no—
1474C2×C4—172no—
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—341no—
1504C2×C4—341no—
1505C2×C4—684no—
1506C2×C4—684no—
1507C2×C4—684no—
1508C2×C4—684no—
1509C2×C4—684no—
1510C2×C4—684no—
1511C2×C4—684no—
1512C2×C4—684no—
1513C2×C4—684no—
1514C2×C4—1362no—
1515C2×C4—1362no—
1516C2×C4—1362no—
1517C2×C4—1362no—
1518C2×C4—1362no—
1519C2×C4—1362no—
1520C2×C4C22×C4×D1712yes—
1521C2×C4C22×C4×D1712yes—
1522C2×C4C22×C4×D1712yes—
1523C2×C4C22×C4×D1712yes—
1524C2×C4C22×C4×D1712yes—
1525C2×C4C22×C4×D1712yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—174no—
1534C22—342no—
1535C22—342no—
1536C22—342no—
1537C22—342no—
1538C22—342no—
1539C22—342no—
1540C22—342no—
1541C22—342no—
1542C22—342no—
1543C22—342no—
1544C22—342no—
1545C22—342no—
1546C22—342no—
1547C22—342no—
1548C22—342no—
1549C22—6816no—
1550C22—681no—
1551C22—681no—
1552C22—681no—
1553C22—681no—
1554C22—681no—
1555C22—681no—
1556C22—681no—
1557C22—681no—
1558C22—681no—
1559C22—681no—
1560C22—681no—
1561C22—681no—
1562C22C23×C4×D1711yescharacteristic
1563C22H(5,𝔽2)×D1711yescharacteristic
1564C22H(5,𝔽2)×D1711yescharacteristic
1565C22H(5,𝔽2)×D1711yescharacteristic
1566C222−1+4×D1711yescharacteristic
1567C22#1176364611yescharacteristic
1568C22#1176364611yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—342no—
1584C4—342no—
1585C4—342no—
1586C4—342no—
1587C4—342no—
1588C4—342no—
1589C4—681no—
1590C4—681no—
1591C4—681no—
1592C4—681no—
1593C4—681no—
1594C4—681no—
1595C2—42no—
1596C2—344no—
1597C2—682no—
1598C2—682no—
1599C2—682no—
1600C2D17×#52011yescharacteristic
1601C2#1454199011yescharacteristic
1602C2#1454199011yescharacteristic
1603C2#1454293711yescharacteristic
1604C2#1454296011yescharacteristic
1605C2#1454307411yescharacteristic
1606C2#1454307411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2383C2
socle, cosocleC23×C17C25
prime radicalC2×#11763398C2
hypercenter#2383D17
hypocenterC17#34416
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2383

Complements

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

NH ≅ G/Ntype
2. #14531957C2semidirect
3. #14531940C2semidirect
4. #14531933C2semidirect
5. #14531908C2semidirect
6. #14531861C2semidirect
7. #14531850C2semidirect
8. #14531830C2semidirect
9. #14531799C2semidirect
10. #14531797C2semidirect
11. #14531786C2semidirect
12. #14531773C2semidirect
13. #14531717C2semidirect
14. #14531708C2semidirect
15. #14531693C2semidirect
16. #14531684C2semidirect
17. #14531594C2semidirect
18. #14531573C2semidirect
19. #14531565C2semidirect
20. #14531558C2semidirect
21. #14531492C2semidirect
22. #14531483C2semidirect
23. #14531475C2semidirect
24. #14531448C2semidirect
25. #14531446C2semidirect
26. #14531437C2semidirect
27. #14531378C2semidirect
28. #14531285C2semidirect
29. #14531285C2semidirect
30. D17×#385C2semidirect
31. C17×#2383C2semidirect
33. #11763398C4semidirect
45. C2×#10587573C22semidirect
48. C2×C4×D68C22semidirect
57. C2×#10587558C22semidirect
60. C2×C4⋊C4×D17C22semidirect
63. #11762714C22semidirect
64. #11762713C22semidirect
65. #11762713C22semidirect
68. #11762710C22semidirect
71. #11762708C22semidirect
72. #11762706C22semidirect
73. #11762705C22semidirect
74. #11762705C22semidirect
75. #11762704C22semidirect
82. #11762701C22semidirect
83. #11762701C22semidirect
88. #11762699C22semidirect
89. #11762699C22semidirect
92. #11762698C22semidirect
93. #11762698C22semidirect
94. #11762698C22semidirect
95. #11762698C22semidirect
97. #11762696C22semidirect
98. #11762695C22semidirect
99. #11762695C22semidirect
100. #11762695C22semidirect
101. #11762694C22semidirect
102. #11762694C22semidirect
103. #11762691C22semidirect
104. #11762691C22semidirect
105. #11762690C22semidirect
116. #11762687C22semidirect
117. #11762687C22semidirect
124. #11762683C22semidirect
134. #11762680C22semidirect
135. #11762680C22semidirect
136. #11762680C22semidirect
137. #11762680C22semidirect
138. #11762680C22semidirect
139. #11762674C22semidirect
140. #11762673C22semidirect
141. #11762671C22semidirect
143. #11762668C22semidirect
145. #11762666C22semidirect
146. #11762666C22semidirect
149. C4⋊C4×Dic17C22semidirect
150. C4⋊C4×Dic17C22semidirect
151. C4×#63225C22semidirect
152. C4×#63225C22semidirect
153. C4×#63225C22semidirect
154. C4×C4⋊Dic17C22semidirect
155. #11762660C22semidirect
160. C4×#63227C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762655C22semidirect
172. #95×D17C22semidirect
174. C17×#389C22semidirect
175. C17×#389C22semidirect
176. C17×#389C22semidirect
180. C17×#387C22semidirect
181. C17×#387C22semidirect
182. C17×#387C22semidirect
186. C17×#384C22semidirect
187. C17×#383C22semidirect
216. C17×#126C2×C4semidirect
307. #10587584C2×C4semidirect
308. #10587582C2×C4semidirect
309. #10587581C2×C4semidirect
310. #10587581C2×C4semidirect
311. #10587580C2×C4semidirect
317. #10587579C2×C4semidirect
322. #10587571C2×C4semidirect
323. #10587570C2×C4semidirect
324. #10587569C2×C4semidirect
325. #10587568C2×C4semidirect
326. #10587568C2×C4semidirect
330. C22⋊C4×D17C2×C4semidirect
331. #10587561C2×C4semidirect
334. C4×D68C2×C4semidirect
440. C2×D68C22×C4semidirect
482. C2×C4×D17C22×C4semidirect
483. C2×C4×D17C22×C4semidirect
486. C2×Dic34C22×C4semidirect
496. C4⋊C4×C17C22×C4semidirect
497. C4⋊C4×C17C22×C4semidirect
498. C4⋊C4×C17C22×C4semidirect
508. C42×C17C22×C4semidirect
541. #63227C22×C4semidirect
542. #63227C22×C4semidirect
543. #63227C22×C4semidirect
544. #63227C22×C4semidirect
550. C4⋊Dic17C22×C4semidirect
561. #63225C22×C4semidirect
562. #63225C22×C4semidirect
576. C4×Dic17C22×C4semidirect
724. #2383D17semidirect
868. #389C2×D17semidirect
869. #389C2×D17semidirect
870. #389C2×D17semidirect
904. #387C2×D17semidirect
905. #387C2×D17semidirect
906. #387C2×D17semidirect
943. #384C2×D17semidirect
944. #383C2×D17semidirect
1020. #126C4×D17semidirect
1179. C17#34416semidirect
1318. C4⋊C4C2×C4×D17semidirect
1319. C4⋊C4C2×C4×D17semidirect
1320. C4⋊C4C2×C4×D17semidirect
1380. C42C2×C4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117633982
#145319572
#145319402
#145319332
#145319082
#145318612
#145318502
#145318302
#145317992
#145317972
#145317862
#145317732
#145317172
#145317082
#145316932
#145316842
#145315942
#145315732
#145315652
#145315582
#145314922
#145314832
#145314752
#145314482
#145314462
#145314372
#145313782
#145312852
D17×#3852
C17×#23832
#3441617