Finite Group Databasebeta

← #17198708

Subgroups — #17198708

Order 4352.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763398C211yesmaximal, characteristic
2#14531946C211yesmaximal, characteristic, complemented
3#14531931C211yesmaximal, characteristic, complemented
4#14531924C211yesmaximal, characteristic, complemented
5#14531908C211yesmaximal, characteristic, complemented
6#14531907C211yesmaximal, characteristic, complemented
7#14531897C211yesmaximal, characteristic, complemented
8#14531891C211yesmaximal, characteristic, complemented
9#14531852C211yesmaximal, characteristic, complemented
10#14531806C211yesmaximal, characteristic, complemented
11#14531771C211yesmaximal, characteristic, complemented
12#14531760C211yesmaximal, characteristic, complemented
13#14531735C211yesmaximal, characteristic, complemented
14#14531717C211yesmaximal, characteristic, complemented
15#14531631C211yesmaximal, characteristic, complemented
16#14531628C211yesmaximal, characteristic, complemented
17#14531594C211yesmaximal, characteristic, complemented
18#14531569C211yesmaximal, characteristic, complemented
19#14531548C211yesmaximal, characteristic, complemented
20#14531548C211yesmaximal, characteristic, complemented
21#14531492C211yesmaximal, characteristic, complemented
22#14531481C211yesmaximal, characteristic, complemented
23#14531475C211yesmaximal, characteristic, complemented
24#14531472C211yesmaximal, characteristic, complemented
25#14531441C211yesmaximal, characteristic, complemented
26#14531437C211yesmaximal, characteristic, complemented
27#14531423C211yesmaximal, characteristic, complemented
28#14531311C211yesmaximal, characteristic, complemented
29#14531292C211yesmaximal, characteristic, complemented
30#14531222C211yesmaximal, characteristic, complemented
31C17×#2383C211yesmaximal, characteristic, complemented
32#11763398C4116yescomplemented
33C2×#10587584C2211yescharacteristic
34C2×#10587561C2211yescharacteristic
35C2×#10587571C2211yescharacteristic
36C2×#10587580C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587582C2211yescharacteristic
39C2×#10587581C2211yescharacteristic
40C2×#10587581C2211yescharacteristic
41C2×#10587570C2211yescharacteristic
42C2×#10587568C2211yescharacteristic
43C2×#10587568C2211yescharacteristic
44C2×#10587573C2211yescharacteristic, complemented
45C2×C4×D68C2211yescharacteristic
46C2×#10587579C2211yescharacteristic
47C2×#10587579C2211yescharacteristic
48C2×#10587579C2211yescharacteristic
49C2×#10587579C2211yescharacteristic, complemented
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×#10587567C2211yescharacteristic
52C2×#10587578C2211yescharacteristic
53C2×#10587578C2211yescharacteristic, complemented
54C2×#10587558C2211yescharacteristic
55C22×#63227C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C42×D17C2211yescharacteristic, complemented
59#11762714C2211yescharacteristic, complemented
60#11762713C2211yescharacteristic, complemented
61#11762713C2211yescharacteristic, complemented
62#11762711C2211yescharacteristic
63#11762711C2211yescharacteristic
64#11762711C2211yescharacteristic, complemented
65#11762710C2211yescharacteristic
66#11762710C2211yescharacteristic
67#11762710C2211yescharacteristic
68#11762710C2211yescharacteristic
69#11762709C2211yescharacteristic
70#11762709C2211yescharacteristic
71#11762708C2211yescharacteristic, complemented
72#11762706C2211yescharacteristic, complemented
73#11762706C2211yescharacteristic, complemented
74#11762703C2211yescharacteristic
75#11762702C2211yescharacteristic
76#11762702C2211yescharacteristic
77#11762702C2211yescharacteristic
78#11762701C2211yescharacteristic
79#11762701C2211yescharacteristic
80#11762701C2211yescharacteristic
81#11762701C2211yescharacteristic, complemented
82#11762701C2211yescharacteristic, complemented
83#11762700C2211yescharacteristic
84#11762699C2211yescharacteristic
85#11762699C2211yescharacteristic
86#11762699C2211yescharacteristic
87#11762699C2211yescharacteristic
88#11762699C2211yescharacteristic
89#11762699C2211yescharacteristic
90#11762699C2211yescharacteristic
91#11762699C2211yescharacteristic, complemented
92#11762699C2211yescharacteristic, complemented
93#11762699C2211yescharacteristic, complemented
94#11762699C2211yescharacteristic, complemented
95#11762698C2211yescharacteristic
96#11762698C2211yescharacteristic
97#11762698C2211yescharacteristic
98#11762698C2211yescharacteristic
99#11762698C2211yescharacteristic
100#11762698C2211yescharacteristic, complemented
101#11762698C2211yescharacteristic, complemented
102#11762697C2211yescharacteristic
103#11762695C2211yescharacteristic, complemented
104#11762695C2211yescharacteristic, complemented
105#11762695C2211yescharacteristic, complemented
106#11762694C2211yescharacteristic, complemented
107#11762694C2211yescharacteristic, complemented
108#11762693C2211yescharacteristic, complemented
109#11762691C2211yescharacteristic, complemented
110#11762690C2211yescharacteristic, complemented
111#11762690C2211yescharacteristic, complemented
112#11762688C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762687C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic, complemented
123#11762686C2211yescharacteristic
124#11762685C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762684C2211yescharacteristic
127#11762683C2211yescharacteristic
128#11762683C2211yescharacteristic
129#11762683C2211yescharacteristic, complemented
130#11762680C2211yescharacteristic
131#11762680C2211yescharacteristic
132#11762680C2211yescharacteristic, complemented
133#11762680C2211yescharacteristic, complemented
134#11762680C2211yescharacteristic, complemented
135#11762671C2211yescharacteristic
136#11762671C2211yescharacteristic
137#11762671C2211yescharacteristic, complemented
138#11762668C2211yescharacteristic, complemented
139#11762666C2211yescharacteristic
140#11762666C2211yescharacteristic
141#11762666C2211yescharacteristic, complemented
142#11762666C2211yescharacteristic, complemented
143#11762664C2211yescharacteristic
144#11762664C2211yescharacteristic
145C4⋊C4×Dic17C2211yescharacteristic, complemented
146C4⋊C4×Dic17C2211yescharacteristic, complemented
147C4⋊C4×Dic17C2211yescharacteristic, complemented
148C4⋊C4×Dic17C2211yescharacteristic, complemented
149C4⋊C4×Dic17C2211yescharacteristic, complemented
150C4×#63225C2211yescharacteristic, complemented
151C4×C4⋊Dic17C2211yescharacteristic, complemented
152#11762660C2211yescharacteristic, complemented
153#11762660C2211yescharacteristic, complemented
154C22⋊C4×Dic17C2211yescharacteristic
155C22⋊C4×Dic17C2211yescharacteristic
156C22⋊C4×Dic17C2211yescharacteristic
157C4×#63227C2211yescharacteristic
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic, complemented
160C4×C22⋊Dic17C2211yescharacteristic
161#11762656C2211yescharacteristic
162#11762656C2211yescharacteristic
163#11762656C2211yescharacteristic
164#11762656C2211yescharacteristic
165#11762656C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762655C2211yescharacteristic, complemented
170#11762655C2211yescharacteristic, complemented
171#11762654C2211yescharacteristic, complemented
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×D17C2311yescharacteristic
199C22×C4×D17C2311yescharacteristic
200C22×C4×D17C2311yescharacteristic
201C22×C4×D17C2311yescharacteristic
202C22×C4×D17C2311yescharacteristic
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×Dic34C2311yescharacteristic
209C17×#126C2×C418yescomplemented
210C2×C4⋊C4×C17C2311yescharacteristic
211C2×C4⋊C4×C17C2311yescharacteristic
212C2×C4⋊C4×C17C2311yescharacteristic
213C2×C4⋊C4×C17C2311yescharacteristic
214C2×C4⋊C4×C17C2311yescharacteristic
215C2×C4⋊C4×C17C2311yescharacteristic
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×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C42×C17C2311yescharacteristic
229C2×C42×C17C2311yescharacteristic
230C2×C42×C17C2311yescharacteristic
231C2×C42×C17C2311yescharacteristic
232C2×C22⋊Dic17C2311yescharacteristic
233C2×C22⋊Dic17C2311yescharacteristic
234C2×C22⋊Dic17C2311yescharacteristic
235C2×C22⋊Dic17C2311yescharacteristic
236C4×C22⋊D17—42no—
237C2×#63227—42no—
238C2×#63227C2311yescharacteristic
239C2×#63227C2311yescharacteristic
240C2×#63227C2311yescharacteristic
241C2×#63227C2311yescharacteristic
242C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
275C2×C4⋊Dic17C2311yescharacteristic
276C2×C4⋊Dic17C2311yescharacteristic
277C2×C4⋊Dic17C2311yescharacteristic
278C2×C4⋊Dic17C2311yescharacteristic
279C2×C4⋊Dic17C2311yescharacteristic
280C2×#63225C2311yescharacteristic
281C2×#63225C2311yescharacteristic
282C2×#63225C2311yescharacteristic
283C2×#63225C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×C4×Dic17C2311yescharacteristic
289C2×C4×Dic17C2311yescharacteristic
290C2×C4×Dic17C2311yescharacteristic
291C2×C4×Dic17C2311yescharacteristic
292C2×C4×Dic17C2311yescharacteristic
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
306#10587584C2×C418yescomplemented
307#10587582C2×C418yescomplemented
308#10587581C2×C418yescomplemented
309#10587581C2×C418yescomplemented
310#10587580C2×C418yescomplemented
311#10587579—42no—
312#10587579—42no—
313#10587579—42no—
314#10587579C2×C418yescomplemented
315#10587578—42no—
316#10587578—42no—
317#10587573—42no—
318#10587571C2×C418yescomplemented
319#10587570C2×C418yescomplemented
320#10587569C2×C418yescomplemented
321#10587568C2×C418yescomplemented
322#10587568C2×C418yescomplemented
323#10587567—42no—
324C22⋊C4×D17—42no—
325C22⋊C4×D17C2×C418yescomplemented
326#10587561C2×C418yescomplemented
327C4×D68C2×C418yescomplemented
328#10587558—42no—
329C42×D17—42no—
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370C24×C17C2411yescharacteristic
371C23×D17—41no—
372C23×D17—41no—
373C23×D17—41no—
374C23×D17—41no—
375C23×D17—41no—
376C23×D17—41no—
377C23×D17C22×C414yes—
378C23×D17C2411yescharacteristic
379C23×D17C2411yescharacteristic
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C22×C4×C17—41no—
383C22×C4×C17—41no—
384C22×C4×C17—41no—
385C22×C4×C17C2411yescharacteristic
386C22×C4×C17C2411yescharacteristic
387C22×C4×C17C2411yescharacteristic
388C22×C4×C17C2411yescharacteristic
389C22×C4×C17C2411yescharacteristic
390C22×C4×C17C2411yescharacteristic
391C22×C4×C17C2411yescharacteristic
392C22×C4×C17C2411yescharacteristic
393C22×C4×C17C2411yescharacteristic
394C22×C4×C17C2411yescharacteristic
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C2×C22⋊D17—41no—
400C2×C22⋊D17—41no—
401C2×C22⋊D17—41no—
402C2×C22⋊D17—41no—
403C2×C22⋊D17C22×C414yes—
404C2×C22⋊D17C22×C414yes—
405C22×Dic17—22no—
406C22×Dic17—41no—
407C22×Dic17—41no—
408C22×Dic17C2411yescharacteristic
409C22×Dic17C2411yescharacteristic
410C22×Dic17C2411yescharacteristic
411C22×Dic17C2411yescharacteristic
412C22×Dic17C2411yescharacteristic
413C22×Dic17C2411yescharacteristic
414C22×Dic17C2411yescharacteristic
415C22×Dic17C2411yescharacteristic
416C22×Dic17C2411yescharacteristic
417C22×Dic17C2411yescharacteristic
418C22×Dic17C2411yescharacteristic
419C22×Dic17C2411yescharacteristic
420C2×D68—41no—
421C2×D68—41no—
422C2×D68—41no—
423C2×D68—41no—
424C2×D68—41no—
425C2×D68—41no—
426C2×D68—41no—
427C2×D68—41no—
428C2×D68—41no—
429C2×D68—41no—
430C2×D68C22×C414yes—
431C2×D68C22×C414yes—
432C2×D68C22×C414yes—
433C2×D68C22×C414yes—
434C2×D68C22×C414yes—
435C2×C4×D17—22no—
436C2×C4×D17—22no—
437C2×C4×D17—22no—
438C2×C4×D17—22no—
439C2×C4×D17—41no—
440C2×C4×D17—41no—
441C2×C4×D17—41no—
442C2×C4×D17—41no—
443C2×C4×D17—41no—
444C2×C4×D17—41no—
445C2×C4×D17—41no—
446C2×C4×D17—41no—
447C2×C4×D17—41no—
448C2×C4×D17—41no—
449C2×C4×D17—41no—
450C2×C4×D17—41no—
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×D17C22×C414yes—
462C2×C4×D17C22×C414yes—
463C2×C4×D17C22×C414yes—
464C2×C4×D17C22×C414yes—
465C2×Dic34—41no—
466C2×Dic34—41no—
467C2×Dic34C22×C414yes—
468C4⋊C4×C17—41no—
469C4⋊C4×C17—41no—
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—
477C4⋊C4×C17C22×C414yes—
478C4⋊C4×C17C22×C414yes—
479C4⋊C4×C17C22×C414yes—
480C22⋊C4×C17—41no—
481C22⋊C4×C17—41no—
482C22⋊C4×C17—41no—
483C22⋊C4×C17C22×C414yes—
484C22⋊C4×C17C22×C414yes—
485C22⋊C4×C17C22×C414yes—
486C42×C17—41no—
487C42×C17—41no—
488C42×C17—41no—
489C42×C17C22×C414yes—
490C22⋊Dic17—22no—
491C22⋊Dic17—41no—
492C22⋊Dic17—41no—
493C22⋊Dic17C22×C414yes—
494#63227—22no—
495#63227—22no—
496#63227—22no—
497#63227—22no—
498#63227—41no—
499#63227—41no—
500#63227—41no—
501#63227—41no—
502#63227—41no—
503#63227—41no—
504#63227—41no—
505#63227—41no—
506#63227—41no—
507#63227—41no—
508#63227—41no—
509#63227—41no—
510#63227—41no—
511#63227—41no—
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#63227C22×C414yes—
521#63227C22×C414yes—
522#63227C22×C414yes—
523#63227C22×C414yes—
524#63227C22×C414yes—
525#63227C22×C414yes—
526#63227C22×C414yes—
527#63227C22×C414yes—
528#63227C22×C414yes—
529#63227C22×C414yes—
530C4⋊Dic17—22no—
531C4⋊Dic17—41no—
532C4⋊Dic17—41no—
533C4⋊Dic17—41no—
534C4⋊Dic17—41no—
535C4⋊Dic17C22×C414yes—
536#63225—22no—
537#63225—22no—
538#63225—41no—
539#63225—41no—
540#63225—41no—
541#63225—41no—
542#63225C22×C414yes—
543#63225C22×C414yes—
544C4×Dic17—22no—
545C4×Dic17—22no—
546C4×Dic17—22no—
547C4×Dic17—22no—
548C4×Dic17—22no—
549C4×Dic17—41no—
550C4×Dic17—41no—
551C4×Dic17—41no—
552C4×Dic17—41no—
553C4×Dic17—41no—
554C4×Dic17—41no—
555C4×Dic17—41no—
556C4×Dic17—41no—
557C4×Dic17—41no—
558C4×Dic17—41no—
559C4×Dic17—41no—
560C4×Dic17—41no—
561C4×Dic17C22×C414yes—
562#34451—171nomaximal, Sylow
563C23×C17—21no—
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17C23×C412yes—
570C23×C17C2511yescharacteristic
571C22×D17—21no—
572C22×D17—21no—
573C22×D17—21no—
574C22×D17—21no—
575C22×D17—21no—
576C22×D17—21no—
577C22×D17—21no—
578C22×D17—21no—
579C22×D17—21no—
580C22×D17—21no—
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—21no—
594C22×D17—21no—
595C22×D17—44no—
596C22×D17—44no—
597C22×D17—44no—
598C22×D17—82no—
599C22×D17—82no—
600C22×D17—82no—
601C22×D17—82no—
602C22×D17C23×C412yes—
603C22×D17C23×C412yes—
604C22×D17C23×C412yes—
605C22×D17C23×C412yes—
606C2×C4×C17—21no—
607C2×C4×C17—21no—
608C2×C4×C17—21no—
609C2×C4×C17—21no—
610C2×C4×C17—21no—
611C2×C4×C17—21no—
612C2×C4×C17—21no—
613C2×C4×C17—21no—
614C2×C4×C17—21no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
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—82no—
643C2×C4×C17C23×C412yes—
644C2×C4×C17C23×C412yes—
645C2×C4×C17C23×C412yes—
646C2×C4×C17C23×C412yes—
647C2×C4×C17C23×C412yes—
648C2×C4×C17C23×C412yes—
649C22⋊D17—44no—
650C22⋊D17—44no—
651C2×Dic17—21no—
652C2×Dic17—21no—
653C2×Dic17—21no—
654C2×Dic17—21no—
655C2×Dic17—21no—
656C2×Dic17—21no—
657C2×Dic17—21no—
658C2×Dic17—21no—
659C2×Dic17—21no—
660C2×Dic17—21no—
661C2×Dic17—21no—
662C2×Dic17—21no—
663C2×Dic17—21no—
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—82no—
682C2×Dic17C23×C412yes—
683C2×Dic17C23×C412yes—
684C2×Dic17C23×C412yes—
685C2×Dic17C23×C412yes—
686C2×Dic17H(5,𝔽2)12yes—
687C2×Dic17H(5,𝔽2)12yes—
688D68—44no—
689D68—44no—
690D68—44no—
691D68—44no—
692D68—44no—
693C4×D17—44no—
694C4×D17—44no—
695C4×D17—44no—
696C4×D17—44no—
697C4×D17—44no—
698C4×D17—44no—
699C4×D17—82no—
700C4×D17—82no—
701C4×D17—82no—
702C4×D17—82no—
703Dic34—44no—
704C2×#538—171no—
705#2383D1711yescharacteristic, complemented
706#2378—171no—
707#2376—171no—
708#2375—171no—
709#2373—171no—
710#2373—171no—
711#2373—171no—
712#2372—171no—
713#2367—171no—
714#2362—171no—
715#2359—171no—
716#2358—171no—
717#2354—171no—
718#2353—171no—
719#2342—171no—
720#2342—171no—
721#2337—171no—
722#2335—171no—
723#2333—171no—
724#2333—171no—
725#2326—171no—
726#2325—171no—
727#2324—171no—
728#2324—171no—
729#2321—171no—
730#2321—171no—
731#2319—171no—
732C4×#123—171no—
733C4×#121—171no—
734#2290—171no—
735C22×C17—22no—
736C22×C17—22no—
737C22×C17—22no—
738C22×C17—41no—
739C22×C17—41no—
740C22×C17—41no—
741C22×C17—41no—
742C22×C17C24×C411yescharacteristic
743C22×C17C2×H(5,𝔽2)11yescharacteristic
744C22×C17C2×H(5,𝔽2)11yescharacteristic
745C22×C17#58511yescharacteristic
746C22×C17#58511yescharacteristic
747C22×C17#58511yescharacteristic
748C22×C17#58511yescharacteristic
749C2×D17—22no—
750C2×D17—22no—
751C2×D17—22no—
752C2×D17—22no—
753C2×D17—22no—
754C2×D17—22no—
755C2×D17—22no—
756C2×D17—22no—
757C2×D17—22no—
758C2×D17—22no—
759C2×D17—22no—
760C2×D17—22no—
761C2×D17—41no—
762C2×D17—41no—
763C2×D17—41no—
764C2×D17—41no—
765C2×D17—41no—
766C2×D17—41no—
767C2×D17—41no—
768C2×D17—41no—
769C2×D17—41no—
770C2×D17—41no—
771C2×D17—41no—
772C2×D17—41no—
773C2×D17—41no—
774C2×D17—41no—
775C2×D17—41no—
776C2×D17—41no—
777C2×D17—88no—
778C4×C17—22no—
779C4×C17—22no—
780C4×C17—22no—
781C4×C17—22no—
782C4×C17—22no—
783C4×C17—22no—
784C4×C17—41no—
785C4×C17—41no—
786C4×C17—41no—
787C4×C17—41no—
788C4×C17—41no—
789C4×C17—41no—
790C4×C17—41no—
791C4×C17—41no—
792Dic17—22no—
793Dic17—22no—
794Dic17—22no—
795Dic17—22no—
796Dic17—22no—
797Dic17—22no—
798Dic17—41no—
799Dic17—41no—
800Dic17—41no—
801Dic17—41no—
802Dic17—41no—
803Dic17—41no—
804#538—1716no—
805C2×#126—171no—
806C2×#126C2×D1711yescharacteristic
807C2×#124—171no—
808C2×#124—171no—
809C2×#123—171no—
810C2×#123—171no—
811C2×C22⋊Q8—171no—
812C2×#121—171no—
813C2×#121—171no—
814C2×#121—171no—
815C2×#120—171no—
816C2×#120—171no—
817C2×C4×Q8—171no—
818C2×C4×D4—171no—
819C2×C4×D4—171no—
820C2×C4×D4—171no—
821C2×C4×D4—171no—
822C2×C4×D4—171no—
823C2×C4×D4—171no—
824C2×C4×D4—171no—
825C2×#117—171no—
826C2×#117—171no—
827C2×#117—171no—
828C22×C22⋊C4—171no—
829C22×C22⋊C4—171no—
830C22×C22⋊C4—171no—
831C22×C42—171no—
832#391—171no—
833#391—171no—
834#391—171no—
835#390—171no—
836#390—171no—
837#390—171no—
838#390—171no—
839#390—171no—
840#390—171no—
841#390—171no—
842#390—171no—
843#390—171no—
844#389—171no—
845#389—171no—
846#389—171no—
847#389C2×D1711yescharacteristic, complemented
848#389C2×D1711yescharacteristic, complemented
849#389C2×D1711yescharacteristic, complemented
850#388—171no—
851#388—171no—
852#388—171no—
853#388—171no—
854#388—171no—
855#388—171no—
856#388—171no—
857#388—171no—
858#388—171no—
859#388—171no—
860#388—171no—
861#388—171no—
862#388—171no—
863#388—171no—
864#388—171no—
865#388—171no—
866#388—171no—
867#388—171no—
868#388—171no—
869#388—171no—
870#388—171no—
871#388—171no—
872#388—171no—
873#388—171no—
874#388—171no—
875#388—171no—
876#388—171no—
877#388—171no—
878#388—171no—
879#388C2×D1711yescharacteristic
880#388C2×D1711yescharacteristic
881#388C2×D1711yescharacteristic
882#387—171no—
883#387—171no—
884#387—171no—
885#387—171no—
886#387—171no—
887#387—171no—
888#387—171no—
889#387—171no—
890#387—171no—
891#387C2×D1711yescharacteristic, complemented
892#387C2×D1711yescharacteristic, complemented
893#387C2×D1711yescharacteristic, complemented
894#386—171no—
895#386—171no—
896#386—171no—
897#386—171no—
898#386—171no—
899#386—171no—
900#386—171no—
901#386—171no—
902#386—171no—
903#386—171no—
904#386—171no—
905#386—171no—
906#386—171no—
907#386—171no—
908#385—171no—
909#385—171no—
910#385—171no—
911#385—171no—
912#385—171no—
913#385—171no—
914#385—171no—
915#385—171no—
916#385—171no—
917#385C2×D1711yescharacteristic
918#385C2×D1711yescharacteristic
919#385C2×D1711yescharacteristic
920#384C2×D1711yescharacteristic, complemented
921#383C2×D1711yescharacteristic, complemented
922#381—171no—
923#381—171no—
924#381—171no—
925#380—171no—
926#380—171no—
927#380—171no—
928#380—171no—
929#380—171no—
930#379—171no—
931#379—171no—
932C4×C4⋊C4—171no—
933C4×C4⋊C4—171no—
934C4×C4⋊C4—171no—
935C4×C4⋊C4—171no—
936C4×C4⋊C4—171no—
937C4×C4⋊C4—171no—
938C4×C4⋊C4—171no—
939C4×C4⋊C4—171no—
940C4×C4⋊C4—171no—
941C4×C22⋊C4—171no—
942C4×C22⋊C4—171no—
943C4×C22⋊C4—171no—
944C4×C22⋊C4—171no—
945C4×C22⋊C4—171no—
946C4×C22⋊C4—171no—
947C4×C22⋊C4—171no—
948C4×C22⋊C4—171no—
949C4×C22⋊C4—171no—
950C4×C22⋊C4—171no—
951C4×C22⋊C4—171no—
952C4×C22⋊C4—171no—
953C4×C22⋊C4—171no—
954C4×C22⋊C4—171no—
955C4×C22⋊C4—171no—
956#376—171no—
957#376—171no—
958#376—171no—
959C2×#95—171no—
960C2×C17—42no—
961C2×C17#342811yescharacteristic
962C2×C17C4×H(5,𝔽2)11yescharacteristic
963C2×C17C4×H(5,𝔽2)11yescharacteristic
964C2×C17#353311yescharacteristic
965C2×C17#354211yescharacteristic
966C2×C17#355111yescharacteristic
967C2×C17#356811yescharacteristic
968D17—42no—
969D17—42no—
970D17—42no—
971D17—42no—
972C25—171no—
973C22×Q8—171no—
974C22×D4—171no—
975C22×D4—171no—
976C22×D4—171no—
977C22×D4—171no—
978C22×D4—171no—
979C22×D4—171no—
980C22×D4—171no—
981C23×C4—171no—
982C23×C4—171no—
983C23×C4—171no—
984C23×C4—171no—
985C23×C4—171no—
986C23×C4—171no—
987C23×C4—171no—
988C23×C4—171no—
989C23×C4—171no—
990C23×C4—171no—
991C23×C4—171no—
992C23×C4C22×D1711yescharacteristic
993#126—178no—
994#126C4×D1718yescomplemented
995#124—178no—
996#124—178no—
997#123—178no—
998#123—178no—
999C22⋊Q8—178no—
1000#121—178no—
1001#121—178no—
1002#121—178no—
1003#120—178no—
1004#120—178no—
1005C4×Q8—682no—
1006C4×D4—178no—
1007C4×D4—178no—
1008C4×D4—682no—
1009C4×D4—682no—
1010C4×D4—682no—
1011C4×D4—682no—
1012C4×D4—682no—
1013#117—682no—
1014#117—682no—
1015#117—682no—
1016C2×C4⋊C4—171no—
1017C2×C4⋊C4—171no—
1018C2×C4⋊C4—171no—
1019C2×C4⋊C4—171no—
1020C2×C4⋊C4—171no—
1021C2×C4⋊C4—171no—
1022C2×C4⋊C4—171no—
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⋊C4C22×D1711yescharacteristic
1031C2×C4⋊C4C22×D1711yescharacteristic
1032C2×C4⋊C4C22×D1711yescharacteristic
1033C2×C4⋊C4C22×D1711yescharacteristic
1034C2×C4⋊C4C22×D1711yescharacteristic
1035C2×C4⋊C4C22×D1711yescharacteristic
1036C2×C4⋊C4C22×D1711yescharacteristic
1037C2×C4⋊C4C22×D1711yescharacteristic
1038C2×C4⋊C4C22×D1711yescharacteristic
1039C2×C4⋊C4C22×D1711yescharacteristic
1040C2×C4⋊C4C22×D1711yescharacteristic
1041C2×C4⋊C4C22×D1711yescharacteristic
1042C2×C22⋊C4—171no—
1043C2×C22⋊C4—171no—
1044C2×C22⋊C4—171no—
1045C2×C22⋊C4—171no—
1046C2×C22⋊C4—171no—
1047C2×C22⋊C4—171no—
1048C2×C22⋊C4—171no—
1049C2×C22⋊C4—171no—
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—178no—
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—682no—
1084C2×C22⋊C4—682no—
1085C2×C22⋊C4C22×D1711yescharacteristic
1086C2×C22⋊C4C22×D1711yescharacteristic
1087C2×C22⋊C4C22×D1711yescharacteristic
1088C2×C22⋊C4C22×D1711yescharacteristic
1089C2×C22⋊C4C22×D1711yescharacteristic
1090C2×C22⋊C4C22×D1711yescharacteristic
1091C2×C42—171no—
1092C2×C42—171no—
1093C2×C42—171no—
1094C2×C42—171no—
1095C2×C42—171no—
1096C2×C42—171no—
1097C2×C42—171no—
1098C2×C42—171no—
1099C2×C42—171no—
1100C2×C42—171no—
1101C2×C42—171no—
1102C2×C42—171no—
1103C2×C42—171no—
1104C2×C42—171no—
1105C2×C42—171no—
1106C2×C42—171no—
1107C2×C42—171no—
1108C2×C42—171no—
1109C2×C42—682no—
1110C2×C42C22×D1711yescharacteristic
1111C2×C42C22×D1711yescharacteristic
1112C2×C42C22×D1711yescharacteristic
1113C2×C42C22×D1711yescharacteristic
1114#95—171no—
1115#95—171no—
1116#95—171no—
1117#95—171no—
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#95C22×D1711yescharacteristic
1143#95C22×D1711yescharacteristic
1144#95C22×D1711yescharacteristic
1145#95C22×D1711yescharacteristic
1146#95C22×D1711yescharacteristic
1147#95C22×D1711yescharacteristic
1148#95C22×D1711yescharacteristic
1149#95C22×D1711yescharacteristic
1150#95C22×D1711yescharacteristic
1151#95C22×D1711yescharacteristic
1152#95C22×D1711yescharacteristic
1153#95C22×D1711yescharacteristic
1154C17#3445111yescharacteristic, complemented, Sylow
1155C24—171no—
1156C24—171no—
1157C24—171no—
1158C24—171no—
1159C24—174no—
1160C24—681no—
1161C24—681no—
1162C24—681no—
1163C24—681no—
1164C24—681no—
1165C24—681no—
1166C24C23×D1711yescharacteristic
1167C2×Q8—174no—
1168C2×Q8—681no—
1169C2×Q8—681no—
1170C2×D4—174no—
1171C2×D4—174no—
1172C2×D4—174no—
1173C2×D4—174no—
1174C2×D4—174no—
1175C2×D4—174no—
1176C2×D4—174no—
1177C2×D4—681no—
1178C2×D4—681no—
1179C2×D4—681no—
1180C2×D4—681no—
1181C2×D4—681no—
1182C2×D4—681no—
1183C2×D4—681no—
1184C2×D4—681no—
1185C2×D4—681no—
1186C2×D4—681no—
1187C2×D4—681no—
1188C2×D4—681no—
1189C2×D4—681no—
1190C2×D4—681no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—171no—
1195C22×C4—171no—
1196C22×C4—171no—
1197C22×C4—171no—
1198C22×C4—171no—
1199C22×C4—171no—
1200C22×C4—174no—
1201C22×C4—174no—
1202C22×C4—174no—
1203C22×C4—174no—
1204C22×C4—171no—
1205C22×C4—171no—
1206C22×C4—171no—
1207C22×C4—171no—
1208C22×C4—171no—
1209C22×C4—171no—
1210C22×C4—342no—
1211C22×C4—342no—
1212C22×C4—342no—
1213C22×C4—342no—
1214C22×C4—342no—
1215C22×C4—681no—
1216C22×C4—681no—
1217C22×C4—681no—
1218C22×C4—681no—
1219C22×C4—681no—
1220C22×C4—681no—
1221C22×C4—681no—
1222C22×C4—681no—
1223C22×C4—681no—
1224C22×C4—681no—
1225C22×C4—681no—
1226C22×C4—681no—
1227C22×C4—681no—
1228C22×C4—681no—
1229C22×C4—681no—
1230C22×C4—681no—
1231C22×C4—681no—
1232C22×C4—681no—
1233C22×C4—681no—
1234C22×C4—681no—
1235C22×C4—681no—
1236C22×C4—681no—
1237C22×C4—681no—
1238C22×C4—681no—
1239C22×C4C23×D1711yescharacteristic
1240C22×C4C23×D1711yescharacteristic
1241C22×C4C23×D1711yescharacteristic
1242C22×C4C23×D1711yescharacteristic
1243C22×C4C23×D1711yescharacteristic
1244C22×C4C23×D1711yescharacteristic
1245C22×C4C23×D1711yescharacteristic
1246C22×C4C23×D1711yescharacteristic
1247C22×C4C23×D1711yescharacteristic
1248C22×C4C23×D1711yescharacteristic
1249C22×C4C23×D1711yescharacteristic
1250C22×C4C23×D1711yescharacteristic
1251C22×C4C23×D1711yescharacteristic
1252C22×C4C23×D1711yescharacteristic
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—174no—
1263C4⋊C4—174no—
1264C4⋊C4—174no—
1265C4⋊C4—342no—
1266C4⋊C4—342no—
1267C4⋊C4—342no—
1268C4⋊C4—681no—
1269C4⋊C4—681no—
1270C4⋊C4—681no—
1271C4⋊C4—681no—
1272C4⋊C4—681no—
1273C4⋊C4—681no—
1274C4⋊C4—681no—
1275C4⋊C4—681no—
1276C4⋊C4C2×C4×D1714yes—
1277C4⋊C4C2×C4×D1714yes—
1278C4⋊C4C2×C4×D1714yes—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—174no—
1283C22⋊C4—174no—
1284C22⋊C4—174no—
1285C22⋊C4—174no—
1286C22⋊C4—174no—
1287C22⋊C4—174no—
1288C22⋊C4—174no—
1289C22⋊C4—174no—
1290C22⋊C4—174no—
1291C22⋊C4—174no—
1292C22⋊C4—174no—
1293C22⋊C4—342no—
1294C22⋊C4—342no—
1295C22⋊C4—342no—
1296C22⋊C4—342no—
1297C22⋊C4—342no—
1298C22⋊C4—681no—
1299C22⋊C4—681no—
1300C22⋊C4—681no—
1301C22⋊C4—681no—
1302C22⋊C4—681no—
1303C22⋊C4—681no—
1304C22⋊C4—681no—
1305C22⋊C4—681no—
1306C22⋊C4—681no—
1307C22⋊C4—681no—
1308C22⋊C4—681no—
1309C22⋊C4—681no—
1310C22⋊C4—681no—
1311C22⋊C4—681no—
1312C22⋊C4—681no—
1313C22⋊C4—681no—
1314C22⋊C4—681no—
1315C22⋊C4—681no—
1316C22⋊C4—681no—
1317C22⋊C4—681no—
1318C22⋊C4—681no—
1319C22⋊C4—681no—
1320C22⋊C4—681no—
1321C22⋊C4—681no—
1322C22⋊C4C2×C4×D1714yes—
1323C22⋊C4C2×C4×D1714yes—
1324C22⋊C4C2×C4×D1714yes—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—174no—
1329C42—342no—
1330C42—342no—
1331C42—342no—
1332C42—342no—
1333C42—342no—
1334C42—681no—
1335C42—681no—
1336C42—681no—
1337C42—681no—
1338C42—681no—
1339C42—681no—
1340C42—681no—
1341C42—681no—
1342C42—681no—
1343C42—681no—
1344C42—681no—
1345C42—681no—
1346C42C2×C4×D1714yes—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—172no—
1354C23—172no—
1355C23—172no—
1356C23—172no—
1357C23—341no—
1358C23—341no—
1359C23—341no—
1360C23—341no—
1361C23—341no—
1362C23—341no—
1363C23—341no—
1364C23—341no—
1365C23—341no—
1366C23—341no—
1367C23—341no—
1368C23—341no—
1369C23—341no—
1370C23—341no—
1371C23—341no—
1372C23—341no—
1373C23—341no—
1374C23—341no—
1375C23—341no—
1376C23—341no—
1377C23—341no—
1378C23—341no—
1379C23—341no—
1380C23—341no—
1381C23—684no—
1382C23—684no—
1383C23—684no—
1384C23—1362no—
1385C23—1362no—
1386C23—1362no—
1387C23—1362no—
1388C23C22×C4×D1712yes—
1389C23C24×D1711yescharacteristic
1390Q8—684no—
1391D4—684no—
1392D4—684no—
1393D4—684no—
1394D4—684no—
1395D4—684no—
1396D4—684no—
1397D4—684no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—82no—
1435C2×C4—172no—
1436C2×C4—172no—
1437C2×C4—172no—
1438C2×C4—172no—
1439C2×C4—172no—
1440C2×C4—172no—
1441C2×C4—341no—
1442C2×C4—341no—
1443C2×C4—341no—
1444C2×C4—341no—
1445C2×C4—341no—
1446C2×C4—341no—
1447C2×C4—341no—
1448C2×C4—341no—
1449C2×C4—341no—
1450C2×C4—341no—
1451C2×C4—341no—
1452C2×C4—341no—
1453C2×C4—341no—
1454C2×C4—341no—
1455C2×C4—341no—
1456C2×C4—341no—
1457C2×C4—341no—
1458C2×C4—341no—
1459C2×C4—341no—
1460C2×C4—341no—
1461C2×C4—341no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—341no—
1466C2×C4—341no—
1467C2×C4—341no—
1468C2×C4—341no—
1469C2×C4—341no—
1470C2×C4—341no—
1471C2×C4—684no—
1472C2×C4—684no—
1473C2×C4—684no—
1474C2×C4—684no—
1475C2×C4—684no—
1476C2×C4—684no—
1477C2×C4—1362no—
1478C2×C4—1362no—
1479C2×C4—1362no—
1480C2×C4—1362no—
1481C2×C4—1362no—
1482C2×C4C22×C4×D1712yes—
1483C2×C4C22×C4×D1712yes—
1484C2×C4C22×C4×D1712yes—
1485C2×C4C22×C4×D1712yes—
1486C2×C4C22×C4×D1712yes—
1487C2×C4C22×C4×D1712yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—342no—
1496C22—342no—
1497C22—342no—
1498C22—342no—
1499C22—342no—
1500C22—342no—
1501C22—342no—
1502C22—342no—
1503C22—342no—
1504C22—342no—
1505C22—342no—
1506C22—342no—
1507C22—681no—
1508C22—681no—
1509C22—681no—
1510C22—681no—
1511C22—681no—
1512C22—681no—
1513C22—681no—
1514C22—681no—
1515C22—681no—
1516C22—681no—
1517C22—681no—
1518C22—681no—
1519C22—681no—
1520C22—681no—
1521C22—681no—
1522C22—681no—
1523C22—1368no—
1524C22C23×C4×D1711yescharacteristic
1525C22H(5,𝔽2)×D1711yescharacteristic
1526C22H(5,𝔽2)×D1711yescharacteristic
1527C22#1176364411yescharacteristic
1528C22#1176364611yescharacteristic
1529C22#1176364611yescharacteristic
1530C22#1176364611yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—342no—
1546C4—342no—
1547C4—342no—
1548C4—342no—
1549C4—342no—
1550C4—342no—
1551C4—681no—
1552C4—681no—
1553C4—681no—
1554C4—681no—
1555C4—681no—
1556C4—681no—
1557C2—42no—
1558C2—682no—
1559C2—682no—
1560C2—682no—
1561C2—682no—
1562C2#1454198411yescharacteristic
1563C2#1454199011yescharacteristic
1564C2#1454199011yescharacteristic
1565C2#1454296011yescharacteristic
1566C2#1454308911yescharacteristic
1567C2#1454320911yescharacteristic
1568C2#1454348111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2383C2
socle, cosocleC23×C17C25
prime radicalC2×#11763398C2
hypercenter#2383D17
hypocenterC17#34451
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2383

Complements

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

NH ≅ G/Ntype
2. #14531946C2semidirect
3. #14531931C2semidirect
4. #14531924C2semidirect
5. #14531908C2semidirect
6. #14531907C2semidirect
7. #14531897C2semidirect
8. #14531891C2semidirect
9. #14531852C2semidirect
10. #14531806C2semidirect
11. #14531771C2semidirect
12. #14531760C2semidirect
13. #14531735C2semidirect
14. #14531717C2semidirect
15. #14531631C2semidirect
16. #14531628C2semidirect
17. #14531594C2semidirect
18. #14531569C2semidirect
19. #14531548C2semidirect
20. #14531548C2semidirect
21. #14531492C2semidirect
22. #14531481C2semidirect
23. #14531475C2semidirect
24. #14531472C2semidirect
25. #14531441C2semidirect
26. #14531437C2semidirect
27. #14531423C2semidirect
28. #14531311C2semidirect
29. #14531292C2semidirect
30. #14531222C2semidirect
31. C17×#2383C2semidirect
32. #11763398C4semidirect
44. C2×#10587573C22semidirect
49. C2×#10587579C22semidirect
53. C2×#10587578C22semidirect
58. C2×C42×D17C22semidirect
59. #11762714C22semidirect
60. #11762713C22semidirect
61. #11762713C22semidirect
64. #11762711C22semidirect
71. #11762708C22semidirect
72. #11762706C22semidirect
73. #11762706C22semidirect
81. #11762701C22semidirect
82. #11762701C22semidirect
91. #11762699C22semidirect
92. #11762699C22semidirect
93. #11762699C22semidirect
94. #11762699C22semidirect
100. #11762698C22semidirect
101. #11762698C22semidirect
103. #11762695C22semidirect
104. #11762695C22semidirect
105. #11762695C22semidirect
106. #11762694C22semidirect
107. #11762694C22semidirect
108. #11762693C22semidirect
109. #11762691C22semidirect
110. #11762690C22semidirect
111. #11762690C22semidirect
121. #11762687C22semidirect
122. #11762687C22semidirect
129. #11762683C22semidirect
132. #11762680C22semidirect
133. #11762680C22semidirect
134. #11762680C22semidirect
137. #11762671C22semidirect
138. #11762668C22semidirect
141. #11762666C22semidirect
142. #11762666C22semidirect
145. C4⋊C4×Dic17C22semidirect
146. C4⋊C4×Dic17C22semidirect
147. C4⋊C4×Dic17C22semidirect
148. C4⋊C4×Dic17C22semidirect
149. C4⋊C4×Dic17C22semidirect
150. C4×#63225C22semidirect
151. C4×C4⋊Dic17C22semidirect
152. #11762660C22semidirect
153. #11762660C22semidirect
159. C4×#63227C22semidirect
165. #11762656C22semidirect
166. #11762656C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762655C22semidirect
170. #11762655C22semidirect
171. #11762654C22semidirect
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
209. C17×#126C2×C4semidirect
306. #10587584C2×C4semidirect
307. #10587582C2×C4semidirect
308. #10587581C2×C4semidirect
309. #10587581C2×C4semidirect
310. #10587580C2×C4semidirect
314. #10587579C2×C4semidirect
318. #10587571C2×C4semidirect
319. #10587570C2×C4semidirect
320. #10587569C2×C4semidirect
321. #10587568C2×C4semidirect
322. #10587568C2×C4semidirect
325. C22⋊C4×D17C2×C4semidirect
326. #10587561C2×C4semidirect
327. C4×D68C2×C4semidirect
705. #2383D17semidirect
847. #389C2×D17semidirect
848. #389C2×D17semidirect
849. #389C2×D17semidirect
891. #387C2×D17semidirect
892. #387C2×D17semidirect
893. #387C2×D17semidirect
920. #384C2×D17semidirect
921. #383C2×D17semidirect
994. #126C4×D17semidirect
1154. C17#34451semidirect

Maximal subgroups

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

subgroupindex
C2×#117633982
#145319462
#145319312
#145319242
#145319082
#145319072
#145318972
#145318912
#145318522
#145318062
#145317712
#145317602
#145317352
#145317172
#145316312
#145316282
#145315942
#145315692
#145315482
#145314922
#145314812
#145314752
#145314722
#145314412
#145314372
#145314232
#145313112
#145312922
#145312222
C17×#23832
#3445117