Finite Group Databasebeta

← #17195036

Subgroups — #17195036

Order 4352.

2826 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763317C211yesmaximal, characteristic
2#14531803C211yesmaximal, characteristic, complemented
3#14531797C211yesmaximal, characteristic, complemented
4#14531792C211yesmaximal, characteristic, complemented
5#14531786C211yesmaximal, characteristic, complemented
6#14531767C211yesmaximal, characteristic, complemented
7#14531765C211yesmaximal, characteristic, complemented
8#14531762C211yesmaximal, characteristic, complemented
9#14531762C211yesmaximal, characteristic, complemented
10#14531723C211yesmaximal, characteristic, complemented
11#14531719C211yesmaximal, characteristic, complemented
12#14531693C211yesmaximal, characteristic, complemented
13#14531690C211yesmaximal, characteristic, complemented
14#14531674C211yesmaximal, characteristic, complemented
15#14531666C211yesmaximal, characteristic, complemented
16#14531623C211yesmaximal, characteristic, complemented
17#14531610C211yesmaximal, characteristic, complemented
18#14531578C211yesmaximal, characteristic, complemented
19#14531574C211yesmaximal, characteristic, complemented
20#14531570C211yesmaximal, characteristic, complemented
21#14531416C211yesmaximal, characteristic, complemented
22#14531414C211yesmaximal, characteristic, complemented
23#14531318C211yesmaximal, characteristic, complemented
24C4×#10587582C211yesmaximal, characteristic, complemented
25#14531296C211yesmaximal, characteristic, complemented
26C4×#10587570C211yesmaximal, characteristic, complemented
27D17×#380C211yesmaximal, characteristic, complemented
28#14531144C211yesmaximal, characteristic, complemented
29#14531143C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2335C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763317C4116yescomplemented
35C2×#10587615C2211yescharacteristic
36C2×#10587582C2211yescharacteristic
37C2×#10587582C2211yescharacteristic
38C2×#10587570C2211yescharacteristic
39C2×#10587570C2211yescharacteristic
40C2×#10587568C2211yescharacteristic
41C2×#10587623C2211yescharacteristic
42C2×C4×Dic34C2211yescharacteristic, complemented
43C2×#10587573C2211yescharacteristic, complemented
44C2×C4×D68C2211yescharacteristic
45C2×C4×D68C2211yescharacteristic
46C2×#10587579C2211yescharacteristic
47C2×#10587579C2211yescharacteristic
48C2×#10587579C2211yescharacteristic
49C2×#10587579C2211yescharacteristic
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic, complemented
53C2×#10587567C2211yescharacteristic
54C2×#10587567C2211yescharacteristic
55C2×#10587567C2211yescharacteristic
56C2×#10587567C2211yescharacteristic
57C2×#10587567C2211yescharacteristic, complemented
58C2×#10587563C2211yescharacteristic
59C2×C4⋊C4×D17C2211yescharacteristic
60C2×C4⋊C4×D17C2211yescharacteristic
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63C2×C22⋊C4×D17C2211yescharacteristic
64C2×C22⋊C4×D17C2211yescharacteristic
65C2×C42×D17C2211yescharacteristic
66C2×C42×D17C2211yescharacteristic
67#11762713C2211yescharacteristic, complemented
68#11762713C2211yescharacteristic, complemented
69#11762712C2211yescharacteristic
70#11762709C2211yescharacteristic
71#11762709C2211yescharacteristic
72#11762709C2211yescharacteristic, complemented
73#11762709C2211yescharacteristic, complemented
74#11762708C2211yescharacteristic, complemented
75#11762706C2211yescharacteristic, complemented
76#11762706C2211yescharacteristic, complemented
77#11762706C2211yescharacteristic, complemented
78#11762704C2211yescharacteristic, complemented
79#11762704C2211yescharacteristic, complemented
80#11762704C2211yescharacteristic, complemented
81#11762703C2211yescharacteristic
82#11762703C2211yescharacteristic
83#11762702C2211yescharacteristic
84#11762702C2211yescharacteristic
85#11762702C2211yescharacteristic, complemented
86#11762702C2211yescharacteristic, complemented
87#11762701C2211yescharacteristic, complemented
88#11762700C2211yescharacteristic, complemented
89#11762699C2211yescharacteristic, complemented
90#11762698C2211yescharacteristic, complemented
91#11762697C2211yescharacteristic
92#11762697C2211yescharacteristic
93#11762696C2211yescharacteristic, complemented
94#11762695C2211yescharacteristic, complemented
95#11762695C2211yescharacteristic, complemented
96#11762693C2211yescharacteristic, complemented
97#11762691C2211yescharacteristic, complemented
98#11762690C2211yescharacteristic, complemented
99#11762689C2211yescharacteristic
100#11762687C2211yescharacteristic
101#11762687C2211yescharacteristic
102#11762687C2211yescharacteristic
103#11762687C2211yescharacteristic
104#11762685C2211yescharacteristic
105#11762685C2211yescharacteristic
106#11762685C2211yescharacteristic
107#11762685C2211yescharacteristic
108#11762685C2211yescharacteristic
109#11762685C2211yescharacteristic
110#11762684C2211yescharacteristic, complemented
111#11762683C2211yescharacteristic
112#11762683C2211yescharacteristic
113#11762683C2211yescharacteristic
114#11762683C2211yescharacteristic
115#11762683C2211yescharacteristic, complemented
116#11762680C2211yescharacteristic
117#11762680C2211yescharacteristic
118#11762680C2211yescharacteristic
119#11762680C2211yescharacteristic
120#11762680C2211yescharacteristic, complemented
121#11762676C2211yescharacteristic, complemented
122#11762676C2211yescharacteristic, complemented
123#11762674C2211yescharacteristic, complemented
124#11762673C2211yescharacteristic, complemented
125#11762671C2211yescharacteristic, complemented
126#11762670C2211yescharacteristic, complemented
127#11762669C2211yescharacteristic
128#11762668C2211yescharacteristic
129#11762668C2211yescharacteristic
130#11762667C2211yescharacteristic
131#11762667C2211yescharacteristic
132#11762667C2211yescharacteristic, complemented
133#11762666C2211yescharacteristic
134#11762666C2211yescharacteristic
135#11762666C2211yescharacteristic, complemented
136C4⋊C4×Dic17C2211yescharacteristic, complemented
137C4⋊C4×Dic17C2211yescharacteristic, complemented
138C4×#63225C2211yescharacteristic, complemented
139C4×#63225C2211yescharacteristic, complemented
140C4×#63225C2211yescharacteristic, complemented
141C4×#63225C2211yescharacteristic, complemented
142#11762660C2211yescharacteristic, complemented
143#11762660C2211yescharacteristic, complemented
144#11762660C2211yescharacteristic, complemented
145C22⋊C4×Dic17C2211yescharacteristic
146C22⋊C4×Dic17C2211yescharacteristic
147C22⋊C4×Dic17C2211yescharacteristic, complemented
148C22⋊C4×Dic17C2211yescharacteristic, complemented
149C4×#63227C2211yescharacteristic
150C4×#63227C2211yescharacteristic
151C4×#63227C2211yescharacteristic
152C4×#63227C2211yescharacteristic
153C4×#63227C2211yescharacteristic
154C4×#63227C2211yescharacteristic
155C4×#63227C2211yescharacteristic, complemented
156C4×#63227C2211yescharacteristic, complemented
157C4×C22⋊Dic17C2211yescharacteristic
158#11762656C2211yescharacteristic
159#11762656C2211yescharacteristic
160#11762656C2211yescharacteristic
161#11762656C2211yescharacteristic
162#11762656C2211yescharacteristic
163#11762656C2211yescharacteristic
164#11762656C2211yescharacteristic, complemented
165#11762655C2211yescharacteristic, complemented
166#11762654C2211yescharacteristic, complemented
167C2×#10587502C2211yescharacteristic, complemented
168#95×D17C2211yescharacteristic
169#95×D17C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic, complemented
173C2×C17×#123C2211yescharacteristic
174C17×#390C2211yescharacteristic
175C17×#389C2211yescharacteristic, complemented
176C17×#388C2211yescharacteristic
177C17×#388C2211yescharacteristic
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#387C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#385C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C23×Dic17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C2×#63254—42no—
200C2×#63254—42no—
201C2×#63254C2×C418yescomplemented
202C22×D68C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×C4×D17—42no—
205C22×C4×D17—42no—
206C22×C4×D17C2×C418yescomplemented
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×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×Dic34C2311yescharacteristic
223C17×#123C2×C418yescomplemented
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254#10587623C2×C418yescomplemented
255#10587615C2×C418yescomplemented
256C4×C22⋊D17—24no—
257C4×C22⋊D17—42no—
258C4×C22⋊D17—42no—
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×C4⋊Dic17C2311yescharacteristic
280C2×C4⋊Dic17C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
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
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315#10587582C2×C418yescomplemented
316#10587582C2×C418yescomplemented
317#10587579—24no—
318#10587579—42no—
319#10587579C2×C418yescomplemented
320#10587579C2×C418yescomplemented
321C4⋊C4×D17—42no—
322C4⋊C4×D17—42no—
323#10587573—42no—
324#10587570C2×C418yescomplemented
325#10587570C2×C418yescomplemented
326#10587568C2×C418yescomplemented
327#10587567—24no—
328#10587567—42no—
329#10587567—42no—
330#10587567C2×C418yescomplemented
331#10587567C2×C418yescomplemented
332C22⋊C4×D17—24no—
333C22⋊C4×D17—24no—
334C22⋊C4×D17—42no—
335C22⋊C4×D17—42no—
336#10587563C2×C418yescomplemented
337C4×D68—24no—
338C4×D68—42no—
339C42×D17—42no—
340C42×D17—42no—
341C4×Dic34—42no—
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
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
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C23×D17—22no—
385C23×D17—22no—
386C23×D17—22no—
387C23×D17—22no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17C22×C414yes—
391C23×D17C2411yescharacteristic
392C23×D17C2411yescharacteristic
393C23×D17C2411yescharacteristic
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17C22×C414yes—
397C22×C4×C17—22no—
398C22×C4×C17—41no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17C22×C414yes—
403C22×C4×C17C2411yescharacteristic
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⋊D17C22×C414yes—
425C2×C22⋊D17C22×C414yes—
426C2×C22⋊D17C22×C414yes—
427C2×C22⋊D17C22×C414yes—
428C22×Dic17—22no—
429C22×Dic17—22no—
430C22×Dic17—22no—
431C22×Dic17—41no—
432C22×Dic17—41no—
433C22×Dic17—41no—
434C22×Dic17—41no—
435C22×Dic17C22×C414yes—
436C22×Dic17C22×C414yes—
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450#63254—416no—
451C2×D68—22no—
452C2×D68—22no—
453C2×D68—22no—
454C2×D68—22no—
455C2×D68C22×C414yes—
456C2×D68C22×C414yes—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
475C2×C4×D17—416no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×C4×D17—41no—
495C2×C4×D17—41no—
496C2×C4×D17—41no—
497C2×C4×D17—41no—
498C2×C4×D17C22×C414yes—
499C2×C4×D17C22×C414yes—
500C2×C4×D17C22×C414yes—
501C2×C4×D17C22×C414yes—
502C2×C4×D17C22×C414yes—
503C2×Dic34—22no—
504C2×Dic34—22no—
505C2×Dic34C22×C414yes—
506C4⋊C4×C17—22no—
507C4⋊C4×C17—41no—
508C4⋊C4×C17—41no—
509C4⋊C4×C17—41no—
510C4⋊C4×C17—41no—
511C4⋊C4×C17C22×C414yes—
512C4⋊C4×C17C22×C414yes—
513C22⋊C4×C17—22no—
514C22⋊C4×C17—22no—
515C22⋊C4×C17—22no—
516C22⋊C4×C17—41no—
517C22⋊C4×C17—41no—
518C22⋊C4×C17—41no—
519C22⋊C4×C17—41no—
520C22⋊C4×C17C22×C414yes—
521C22⋊C4×C17C22×C414yes—
522C22⋊C4×C17C22×C414yes—
523C42×C17—22no—
524C42×C17—41no—
525C42×C17—41no—
526C42×C17—41no—
527C42×C17—41no—
528C22⋊Dic17—22no—
529C22⋊Dic17—22no—
530C22⋊Dic17—22no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533C22⋊Dic17—41no—
534C22⋊Dic17—41no—
535C22⋊Dic17C22×C414yes—
536#63227—22no—
537#63227—22no—
538#63227—22no—
539#63227—22no—
540#63227—22no—
541#63227—22no—
542#63227—22no—
543#63227—22no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227C22×C414yes—
549#63227C22×C414yes—
550#63227C22×C414yes—
551#63227C22×C414yes—
552#63227C22×C414yes—
553#63227C22×C414yes—
554#63227#4114yescomplemented
555#63227#4114yescomplemented
556C4⋊Dic17—22no—
557C4⋊Dic17—41no—
558C4⋊Dic17—41no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561#63225—22no—
562#63225—22no—
563#63225—22no—
564#63225—22no—
565#63225—22no—
566#63225—22no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225C22×C414yes—
572#63225C22×C414yes—
573#63225C22×C414yes—
574#63225C22×C414yes—
575C4×Dic17—22no—
576C4×Dic17—22no—
577C4×Dic17—22no—
578C4×Dic17—22no—
579C4×Dic17—22no—
580C4×Dic17—22no—
581C4×Dic17—22no—
582C4×Dic17—41no—
583C4×Dic17—41no—
584C4×Dic17—41no—
585C4×Dic17—41no—
586C4×Dic17—41no—
587C4×Dic17—41no—
588C4×Dic17—41no—
589C4×Dic17—41no—
590C4×Dic17C22×C414yes—
591C4×Dic17C22×C414yes—
592#34233—171nomaximal, Sylow
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17C23×C412yes—
606C23×C17C23×C412yes—
607C23×C17C2511yescharacteristic
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—28no—
623C22×D17—28no—
624C22×D17—44no—
625C22×D17—44no—
626C22×D17—44no—
627C22×D17—44no—
628C22×D17—44no—
629C22×D17C23×C412yes—
630C22×D17C23×C412yes—
631C22×D17C23×C412yes—
632C22×D17C2×#4112yes—
633C22×D17C2×#4112yes—
634C22×D17H(5,𝔽2)12yes—
635C22×D172−1+412yes—
636D4×C17—44no—
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—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—44no—
670C2×C4×C17—82no—
671C2×C4×C17C23×C412yes—
672C2×C4×C17C23×C412yes—
673C2×C4×C17C23×C412yes—
674C2×C4×C17C23×C412yes—
675C2×C4×C17C23×C412yes—
676C2×C4×C17C2×#4112yes—
677C2×C4×C17C2×#4112yes—
678C22⋊D17—28no—
679C22⋊D17—28no—
680C22⋊D17—28no—
681C22⋊D17—44no—
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—28no—
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—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—44no—
714C2×Dic17—82no—
715C2×Dic17C23×C412yes—
716C2×Dic17C23×C412yes—
717C2×Dic17C23×C412yes—
718C2×Dic17C23×C412yes—
719C2×Dic17C23×C412yes—
720C2×Dic17C2×#4112yes—
721C2×Dic17C2×#4112yes—
722C2×Dic17H(5,𝔽2)12yes—
723C2×Dic17H(5,𝔽2)12yes—
724D68—28no—
725D68—28no—
726C4×D17—28no—
727C4×D17—28no—
728C4×D17—44no—
729C4×D17—44no—
730C4×D17—44no—
731C4×D17—44no—
732C4×D17—44no—
733C4×D17—44no—
734C4×D17—44no—
735C4×D17—82no—
736C4×D17—82no—
737C4×D17—82no—
738C4×D17—82no—
739C4×D17—82no—
740C4×D17—82no—
741Dic34—28no—
742C2×#525—171no—
743#2361—171no—
744#2361—171no—
745#2360—171no—
746#2360—171no—
747#2358—171no—
748#2358—171no—
749#2358—171no—
750#2358—171no—
751#2353—171no—
752#2353—171no—
753#2349—171no—
754#2349—171no—
755#2347—171no—
756#2346—171no—
757#2341—171no—
758#2339—171no—
759#2335—171no—
760#2335—171no—
761#2335—171no—
762#2335D1711yescharacteristic, complemented
763#2318—171no—
764#2318—171no—
765C4×C22⋊Q8—171no—
766C4×C22⋊Q8—171no—
767C4×#121—171no—
768C4×#121—171no—
769C2×#380—171no—
770#2275—171no—
771#2275—171no—
772C2×C4×C22⋊C4—171no—
773C22×C17—22no—
774C22×C17—22no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
778C22×C17—22no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17C24×C411yescharacteristic
788C22×C17C22×#4111yescharacteristic
789C22×C17C22×#4111yescharacteristic
790C22×C17C2×H(5,𝔽2)11yescharacteristic
791C22×C17C2×H(5,𝔽2)11yescharacteristic
792C22×C17C2×H(5,𝔽2)11yescharacteristic
793C22×C17C2×2−1+411yescharacteristic
794C2×D17—22no—
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—22no—
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—22no—
804C2×D17—22no—
805C2×D17—22no—
806C2×D17—22no—
807C2×D17—22no—
808C2×D17—22no—
809C2×D17—416no—
810C2×D17—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17C4×#4114yes—
815C2×D17#52014yes—
816C4×C17—22no—
817C4×C17—22no—
818C4×C17—22no—
819C4×C17—22no—
820C4×C17—22no—
821C4×C17—22no—
822C4×C17—22no—
823C4×C17—41no—
824C4×C17—41no—
825C4×C17—41no—
826C4×C17—41no—
827C4×C17—41no—
828C4×C17—41no—
829Dic17—22no—
830Dic17—22no—
831Dic17—22no—
832Dic17—22no—
833Dic17—22no—
834Dic17—22no—
835Dic17—41no—
836Dic17—41no—
837Dic17—41no—
838Dic17—41no—
839Dic17—41no—
840Dic17—41no—
841Dic17#51814yes—
842C22×#41—171no—
843C24×C4—171no—
844#525—1716no—
845C2×#123—171no—
846C2×#123C2×D1711yescharacteristic
847C2×C22⋊Q8—171no—
848C2×C22⋊Q8—171no—
849C2×#121—171no—
850C2×#121—171no—
851C2×#120—171no—
852C2×#120—171no—
853C2×C4×Q8—171no—
854C2×C4×Q8—171no—
855C2×C4×D4—171no—
856C2×C4×D4—171no—
857C2×C4×D4—171no—
858C2×C4×D4—171no—
859C2×C4×D4—171no—
860C2×C4×D4—171no—
861C2×C4×D4—171no—
862C2×C4×D4—171no—
863C2×C4×D4—171no—
864C2×C4×D4—171no—
865C2×C4×D4—171no—
866C2×C4×D4—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×#117—171no—
870C22×C4⋊C4—171no—
871C22×C4⋊C4—171no—
872C22×C22⋊C4—171no—
873C22×C22⋊C4—171no—
874C22×C22⋊C4—171no—
875C22×C22⋊C4—171no—
876C22×C42—171no—
877C22×C42—171no—
878#391—171no—
879#391—171no—
880#390—171no—
881#390—171no—
882#390—171no—
883#390—171no—
884#390—171no—
885#390C2×D1711yescharacteristic
886#389—171no—
887#389—171no—
888#389—171no—
889#389—171no—
890#389—171no—
891#389—171no—
892#389—171no—
893#389C2×D1711yescharacteristic, complemented
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#388C2×D1711yescharacteristic
907#388C2×D1711yescharacteristic
908#388C2×D1711yescharacteristic, complemented
909#388C2×D1711yescharacteristic, complemented
910#387—171no—
911#387—171no—
912#387—171no—
913#387—171no—
914#387—171no—
915#387—171no—
916#387C2×D1711yescharacteristic, complemented
917#387C2×D1711yescharacteristic, complemented
918#386—171no—
919#386—171no—
920#386—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#386C2×D1711yescharacteristic
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#385—171no—
941#385C2×D1711yescharacteristic, complemented
942#383—171no—
943#383—171no—
944#382—171no—
945#382—171no—
946#381—171no—
947#381—171no—
948#380—171no—
949#380—171no—
950#380—171no—
951#380—171no—
952#380—171no—
953#380—171no—
954#380—171no—
955#380—171no—
956#380—171no—
957#380C2×D1711yescharacteristic
958C4×C4⋊C4—171no—
959C4×C4⋊C4—171no—
960C4×C4⋊C4—171no—
961C4×C4⋊C4—171no—
962C4×C4⋊C4—171no—
963C4×C4⋊C4—171no—
964C4×C4⋊C4—171no—
965C4×C4⋊C4—171no—
966C4×C4⋊C4—171no—
967C4×C4⋊C4C2×D1711yescharacteristic, complemented
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—
975C4×C22⋊C4—171no—
976C4×C22⋊C4—171no—
977C4×C22⋊C4—171no—
978C4×C22⋊C4—171no—
979C4×C22⋊C4—171no—
980C4×C22⋊C4—171no—
981C4×C22⋊C4—171no—
982C4×C22⋊C4—171no—
983C4×C22⋊C4—171no—
984C4×C22⋊C4—171no—
985C4×C22⋊C4—171no—
986C4×C22⋊C4—171no—
987C4×C22⋊C4—171no—
988C4×C22⋊C4C2×D1711yescharacteristic
989C4×C22⋊C4C2×D1711yescharacteristic, complemented
990#376—171no—
991#376—171no—
992C2×#95—171no—
993C2×#95—171no—
994C2×#95—171no—
995C2×#95—171no—
996C2×#95—171no—
997C2×#95—171no—
998C2×C17—42no—
999C2×C17—42no—
1000C2×C17C2×C4×#4111yescharacteristic
1001C2×C17C2×#51811yescharacteristic
1002C2×C17C2×#52011yescharacteristic
1003C2×C17#351911yescharacteristic
1004C2×C17#351911yescharacteristic
1005C2×C17#352011yescharacteristic
1006C2×C17#352011yescharacteristic
1007D17—24no—
1008D17—24no—
1009D17—42no—
1010C25—171no—
1011C2×#41—178no—
1012C2×#41—682no—
1013C2×#41—682no—
1014C22×Q8—171no—
1015C22×D4—171no—
1016C22×D4—171no—
1017C22×D4—171no—
1018C22×D4—171no—
1019C22×D4—171no—
1020C22×D4—171no—
1021C22×D4C22×D1711yescharacteristic
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—178no—
1027C23×C4—171no—
1028C23×C4—171no—
1029C23×C4—171no—
1030C23×C4—171no—
1031C23×C4—171no—
1032C23×C4—171no—
1033C23×C4—171no—
1034C23×C4—171no—
1035C23×C4—171no—
1036C23×C4—171no—
1037C23×C4—171no—
1038C23×C4—171no—
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4—682no—
1042C23×C4—682no—
1043C23×C4C22×D1711yescharacteristic
1044C23×C4C22×D1711yescharacteristic
1045#123—178no—
1046#123C4×D1718yescomplemented
1047C22⋊Q8—178no—
1048C22⋊Q8—178no—
1049#121—178no—
1050#121—178no—
1051#120—178no—
1052#120—178no—
1053C4×Q8—682no—
1054C4×Q8—682no—
1055C4×D4—178no—
1056C4×D4—178no—
1057C4×D4—178no—
1058C4×D4—178no—
1059C4×D4—344no—
1060C4×D4—344no—
1061C4×D4—344no—
1062C4×D4—344no—
1063C4×D4—682no—
1064C4×D4—682no—
1065C4×D4—682no—
1066C4×D4—682no—
1067C4×D4—682no—
1068C4×D4—682no—
1069#117—178no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—682no—
1090C2×C4⋊C4—682no—
1091C2×C4⋊C4C22×D1711yescharacteristic
1092C2×C4⋊C4C22×D1711yescharacteristic
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
1097C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—344no—
1127C2×C22⋊C4—344no—
1128C2×C22⋊C4—682no—
1129C2×C22⋊C4—682no—
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C22⋊C4C22×D1711yescharacteristic
1135C2×C22⋊C4C22×D1711yescharacteristic
1136C2×C22⋊C4C22×D1711yescharacteristic
1137C2×C22⋊C4C22×D1711yescharacteristic
1138C2×C22⋊C4C22×D1711yescharacteristic
1139C2×C22⋊C4C22×D1711yescharacteristic
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—171no—
1143C2×C42—171no—
1144C2×C42—171no—
1145C2×C42—171no—
1146C2×C42—171no—
1147C2×C42—171no—
1148C2×C42—171no—
1149C2×C42—171no—
1150C2×C42—171no—
1151C2×C42—171no—
1152C2×C42—171no—
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42—171no—
1157C2×C42—682no—
1158C2×C42—682no—
1159C2×C42C22×D1711yescharacteristic
1160C2×C42C22×D1711yescharacteristic
1161C2×C42C22×D1711yescharacteristic
1162C2×C42C22×D1711yescharacteristic
1163C2×C42C22×D1711yescharacteristic
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95C22×D1711yescharacteristic
1195#95C22×D1711yescharacteristic
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202#95C22×D1711yescharacteristic
1203#95C22×D1711yescharacteristic
1204C17#3423311yescharacteristic, complemented, Sylow
1205C24—171no—
1206C24—171no—
1207C24—171no—
1208C24—174no—
1209C24—342no—
1210C24—342no—
1211C24—342no—
1212C24—342no—
1213C24—681no—
1214C24—681no—
1215C24C23×D1711yescharacteristic
1216C24C23×D1711yescharacteristic
1217#41—6816no—
1218C2×Q8—174no—
1219C2×Q8—342no—
1220C2×Q8—342no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—174no—
1224C2×D4—174no—
1225C2×D4—174no—
1226C2×D4—174no—
1227C2×D4—174no—
1228C2×D4—174no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—342no—
1232C2×D4—342no—
1233C2×D4—342no—
1234C2×D4—342no—
1235C2×D4—342no—
1236C2×D4—342no—
1237C2×D4—342no—
1238C2×D4—342no—
1239C2×D4—681no—
1240C2×D4—681no—
1241C2×D4C2×C4×D1714yes—
1242C22×C4—22no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—171no—
1248C22×C4—174no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—174no—
1256C22×C4—174no—
1257C22×C4—174no—
1258C22×C4—174no—
1259C22×C4—174no—
1260C22×C4—174no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—171no—
1265C22×C4—171no—
1266C22×C4—171no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—342no—
1273C22×C4—342no—
1274C22×C4—342no—
1275C22×C4—342no—
1276C22×C4—342no—
1277C22×C4—342no—
1278C22×C4—342no—
1279C22×C4—342no—
1280C22×C4—342no—
1281C22×C4—342no—
1282C22×C4—342no—
1283C22×C4—342no—
1284C22×C4—342no—
1285C22×C4—342no—
1286C22×C4—342no—
1287C22×C4—342no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
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—6816no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4C2×C4×D1714yes—
1316C22×C4C23×D1711yescharacteristic
1317C22×C4C23×D1711yescharacteristic
1318C22×C4C23×D1711yescharacteristic
1319C22×C4C23×D1711yescharacteristic
1320C22×C4C23×D1711yescharacteristic
1321C22×C4C23×D1711yescharacteristic
1322C22×C4C23×D1711yescharacteristic
1323C22×C4C23×D1711yescharacteristic
1324C22×C4C23×D1711yescharacteristic
1325C22×C4C23×D1711yescharacteristic
1326C22×C4C23×D1711yescharacteristic
1327C22×C4C23×D1711yescharacteristic
1328C22×C4C23×D1711yescharacteristic
1329C4⋊C4—22no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—174no—
1335C4⋊C4—174no—
1336C4⋊C4—174no—
1337C4⋊C4—174no—
1338C4⋊C4—342no—
1339C4⋊C4—342no—
1340C4⋊C4—342no—
1341C4⋊C4—342no—
1342C4⋊C4—342no—
1343C4⋊C4—342no—
1344C4⋊C4—342no—
1345C4⋊C4—681no—
1346C4⋊C4—681no—
1347C4⋊C4—681no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4C2×C4×D1714yes—
1354C4⋊C4C2×C4×D1714yes—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—174no—
1363C22⋊C4—174no—
1364C22⋊C4—174no—
1365C22⋊C4—174no—
1366C22⋊C4—174no—
1367C22⋊C4—174no—
1368C22⋊C4—174no—
1369C22⋊C4—174no—
1370C22⋊C4—174no—
1371C22⋊C4—342no—
1372C22⋊C4—342no—
1373C22⋊C4—342no—
1374C22⋊C4—342no—
1375C22⋊C4—342no—
1376C22⋊C4—342no—
1377C22⋊C4—342no—
1378C22⋊C4—342no—
1379C22⋊C4—342no—
1380C22⋊C4—342no—
1381C22⋊C4—342no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4C2×C4×D1714yes—
1391C22⋊C4C2×C4×D1714yes—
1392C22⋊C4C2×C4×D1714yes—
1393C42—22no—
1394C42—41no—
1395C42—41no—
1396C42—41no—
1397C42—41no—
1398C42—174no—
1399C42—174no—
1400C42—342no—
1401C42—342no—
1402C42—342no—
1403C42—342no—
1404C42—342no—
1405C42—342no—
1406C42—342no—
1407C42—681no—
1408C42—681no—
1409C42—681no—
1410C42—681no—
1411C42—681no—
1412C42—681no—
1413C42—681no—
1414C42—681no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—172no—
1428C23—172no—
1429C23—172no—
1430C23—172no—
1431C23—172no—
1432C23—172no—
1433C23—172no—
1434C23—348no—
1435C23—348no—
1436C23—341no—
1437C23—341no—
1438C23—341no—
1439C23—341no—
1440C23—341no—
1441C23—341no—
1442C23—341no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—684no—
1451C23—684no—
1452C23—684no—
1453C23—684no—
1454C23—684no—
1455C23C22×C4×D1712yes—
1456C23C22×C4×D1712yes—
1457C23C24×D1711yescharacteristic
1458Q8—348no—
1459D4—44no—
1460D4—348no—
1461D4—348no—
1462D4—348no—
1463D4—348no—
1464D4—348no—
1465D4—684no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—44no—
1499C2×C4—82no—
1500C2×C4—172no—
1501C2×C4—172no—
1502C2×C4—172no—
1503C2×C4—172no—
1504C2×C4—172no—
1505C2×C4—172no—
1506C2×C4—172no—
1507C2×C4—172no—
1508C2×C4—172no—
1509C2×C4—348no—
1510C2×C4—348no—
1511C2×C4—348no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—684no—
1543C2×C4—684no—
1544C2×C4—684no—
1545C2×C4—684no—
1546C2×C4—684no—
1547C2×C4—684no—
1548C2×C4—684no—
1549C2×C4—684no—
1550C2×C4—1362no—
1551C2×C4—1362no—
1552C2×C4—1362no—
1553C2×C4—1362no—
1554C2×C4—1362no—
1555C2×C4—1362no—
1556C2×C4—1362no—
1557C2×C4C22×C4×D1712yes—
1558C2×C4C22×C4×D1712yes—
1559C2×C4C22×C4×D1712yes—
1560C2×C4C22×C4×D1712yes—
1561C2×C4C22×C4×D1712yes—
1562C2×C4#41×D1712yes—
1563C2×C4#41×D1712yes—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—174no—
1579C22—174no—
1580C22—342no—
1581C22—342no—
1582C22—342no—
1583C22—342no—
1584C22—342no—
1585C22—342no—
1586C22—342no—
1587C22—342no—
1588C22—342no—
1589C22—342no—
1590C22—342no—
1591C22—342no—
1592C22—342no—
1593C22—342no—
1594C22—342no—
1595C22—6816no—
1596C22—681no—
1597C22—681no—
1598C22—681no—
1599C22—681no—
1600C22C23×C4×D1711yescharacteristic
1601C22C2×#41×D1711yescharacteristic
1602C22C2×#41×D1711yescharacteristic
1603C22H(5,𝔽2)×D1711yescharacteristic
1604C22H(5,𝔽2)×D1711yescharacteristic
1605C22H(5,𝔽2)×D1711yescharacteristic
1606C222−1+4×D1711yescharacteristic
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—174no—
1621C4—342no—
1622C4—342no—
1623C4—342no—
1624C4—342no—
1625C4—342no—
1626C4—342no—
1627C4—681no—
1628C4—681no—
1629C4—681no—
1630C4—681no—
1631C4—681no—
1632C4—681no—
1633C2—42no—
1634C2—42no—
1635C2—344no—
1636C2—344no—
1637C2—682no—
1638C2C4×#41×D1711yescharacteristic
1639C2D17×#51811yescharacteristic
1640C2D17×#52011yescharacteristic
1641C2#1454280811yescharacteristic
1642C2#1454281411yescharacteristic
1643C2#1454282511yescharacteristic
1644C2#1454283111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2335C2
socle, cosocleC23×C17C25
prime radicalC2×#11763317C2
hypercenter#2335D17
hypocenterC17#34233
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #14531803C2semidirect
3. #14531797C2semidirect
4. #14531792C2semidirect
5. #14531786C2semidirect
6. #14531767C2semidirect
7. #14531765C2semidirect
8. #14531762C2semidirect
9. #14531762C2semidirect
10. #14531723C2semidirect
11. #14531719C2semidirect
12. #14531693C2semidirect
13. #14531690C2semidirect
14. #14531674C2semidirect
15. #14531666C2semidirect
16. #14531623C2semidirect
17. #14531610C2semidirect
18. #14531578C2semidirect
19. #14531574C2semidirect
20. #14531570C2semidirect
21. #14531416C2semidirect
22. #14531414C2semidirect
23. #14531318C2semidirect
24. C4×#10587582C2semidirect
25. #14531296C2semidirect
26. C4×#10587570C2semidirect
27. D17×#380C2semidirect
28. #14531144C2semidirect
29. #14531143C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2335C2semidirect
34. #11763317C4semidirect
42. C2×C4×Dic34C22semidirect
43. C2×#10587573C22semidirect
52. C2×C4×C22⋊D17C22semidirect
57. C2×#10587567C22semidirect
67. #11762713C22semidirect
68. #11762713C22semidirect
72. #11762709C22semidirect
73. #11762709C22semidirect
74. #11762708C22semidirect
75. #11762706C22semidirect
76. #11762706C22semidirect
77. #11762706C22semidirect
78. #11762704C22semidirect
79. #11762704C22semidirect
80. #11762704C22semidirect
85. #11762702C22semidirect
86. #11762702C22semidirect
87. #11762701C22semidirect
88. #11762700C22semidirect
89. #11762699C22semidirect
90. #11762698C22semidirect
93. #11762696C22semidirect
94. #11762695C22semidirect
95. #11762695C22semidirect
96. #11762693C22semidirect
97. #11762691C22semidirect
98. #11762690C22semidirect
110. #11762684C22semidirect
115. #11762683C22semidirect
120. #11762680C22semidirect
121. #11762676C22semidirect
122. #11762676C22semidirect
123. #11762674C22semidirect
124. #11762673C22semidirect
125. #11762671C22semidirect
126. #11762670C22semidirect
132. #11762667C22semidirect
135. #11762666C22semidirect
136. C4⋊C4×Dic17C22semidirect
137. C4⋊C4×Dic17C22semidirect
138. C4×#63225C22semidirect
139. C4×#63225C22semidirect
140. C4×#63225C22semidirect
141. C4×#63225C22semidirect
142. #11762660C22semidirect
143. #11762660C22semidirect
144. #11762660C22semidirect
147. C22⋊C4×Dic17C22semidirect
148. C22⋊C4×Dic17C22semidirect
155. C4×#63227C22semidirect
156. C4×#63227C22semidirect
164. #11762656C22semidirect
165. #11762655C22semidirect
166. #11762654C22semidirect
167. C2×#10587502C22semidirect
172. #95×D17C22semidirect
175. C17×#389C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
180. C17×#387C22semidirect
181. C17×#387C22semidirect
183. C17×#385C22semidirect
185. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
201. C2×#63254C2×C4semidirect
206. C22×C4×D17C2×C4semidirect
223. C17×#123C2×C4semidirect
254. #10587623C2×C4semidirect
255. #10587615C2×C4semidirect
315. #10587582C2×C4semidirect
316. #10587582C2×C4semidirect
319. #10587579C2×C4semidirect
320. #10587579C2×C4semidirect
324. #10587570C2×C4semidirect
325. #10587570C2×C4semidirect
326. #10587568C2×C4semidirect
330. #10587567C2×C4semidirect
331. #10587567C2×C4semidirect
336. #10587563C2×C4semidirect
554. #63227#41semidirect
555. #63227#41semidirect
762. #2335D17semidirect
893. #389C2×D17semidirect
908. #388C2×D17semidirect
909. #388C2×D17semidirect
916. #387C2×D17semidirect
917. #387C2×D17semidirect
941. #385C2×D17semidirect
967. C4×C4⋊C4C2×D17semidirect
989. C4×C22⋊C4C2×D17semidirect
1046. #123C4×D17semidirect
1204. C17#34233semidirect

Maximal subgroups

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

subgroupindex
C2×#117633172
#145318032
#145317972
#145317922
#145317862
#145317672
#145317652
#145317622
#145317232
#145317192
#145316932
#145316902
#145316742
#145316662
#145316232
#145316102
#145315782
#145315742
#145315702
#145314162
#145314142
#145313182
C4×#105875822
#145312962
C4×#105875702
D17×#3802
#145311442
#145311432
C4×C22⋊C4×D172
C17×#23352
#3423317