Finite Group Databasebeta

← #17207022

Subgroups — #17207022

Order 4352.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763407C211yesmaximal, characteristic, complemented
2C22×C4×D68C211yesmaximal, characteristic, complemented
3#14537099C211yesmaximal, characteristic, complemented
4#14537079C211yesmaximal, characteristic, complemented
5#14537070C211yesmaximal, characteristic, complemented
6#14534708C211yesmaximal, characteristic, complemented
7#14534683C211yesmaximal, characteristic, complemented
8#14534653C211yesmaximal, characteristic, complemented
9#14534633C211yesmaximal, characteristic, complemented
10#14533035C211yesmaximal, characteristic, complemented
11#14532922C211yesmaximal, characteristic, complemented
12#14532825C211yesmaximal, characteristic, complemented
13#14532779C211yesmaximal, characteristic, complemented
14#14532733C211yesmaximal, characteristic, complemented
15#14532668C211yesmaximal, characteristic, complemented
16#14532600C211yesmaximal, characteristic, complemented
17#14532591C211yesmaximal, characteristic, complemented
18#14532524C211yesmaximal, characteristic, complemented
19#14532452C211yesmaximal, characteristic, complemented
20#14532342C211yesmaximal, characteristic, complemented
21#14532266C211yesmaximal, characteristic, complemented
22#14532252C211yesmaximal, characteristic, complemented
23#14532177C211yesmaximal, characteristic, complemented
24#14532156C211yesmaximal, characteristic
25#14532113C211yesmaximal, characteristic, complemented
26#14531483C211yesmaximal, characteristic, complemented
27#14531457C211yesmaximal, characteristic, complemented
28#14531420C211yesmaximal, characteristic, complemented
29#14531285C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2851C211yesmaximal, characteristic, complemented
32C23×D68C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35#11763407—28no—
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587562C2211yescharacteristic, complemented
38C2×#10587575C2211yescharacteristic, complemented
39C2×#10587580C2211yescharacteristic
40C2×#10587580C2211yescharacteristic
41C2×#10587580C2211yescharacteristic, complemented
42C2×#10587580C2211yescharacteristic, complemented
43C2×#10587580C2211yescharacteristic, complemented
44C2×#10587580C2211yescharacteristic, complemented
45C2×#10587583C2211yescharacteristic, complemented
46C2×#10587582C2211yescharacteristic, complemented
47C2×#10587582C2211yescharacteristic, complemented
48C2×#10587582C2211yescharacteristic, complemented
49C2×#10587564C2211yescharacteristic
50C2×#10587581C2211yescharacteristic
51C2×#10587581C2211yescharacteristic
52C2×#10587568C2211yescharacteristic
53C2×#10587568C2211yescharacteristic
54C2×C4×D68—28no—
55C2×C4×D68C2211yescharacteristic
56C2×C4×D68C2211yescharacteristic
57C2×C4×D68C2211yescharacteristic
58C2×C4×D68C2211yescharacteristic
59C2×C4×D68C2211yescharacteristic
60C2×C4×D68C2211yescharacteristic
61C2×C4×D68C2211yescharacteristic
62C2×C4×D68C2211yescharacteristic
63C2×#10587579C2211yescharacteristic, complemented
64C2×#10587579C2211yescharacteristic, complemented
65C2×#10587567C2211yescharacteristic
66C22×C4⋊Dic17C2211yescharacteristic
67C2×C4⋊C4×D17C2211yescharacteristic, complemented
68C2×C4⋊C4×D17C2211yescharacteristic, complemented
69C22×#63227C2211yescharacteristic
70C22×#63227C2211yescharacteristic
71C2×C22⋊C4×D17C2211yescharacteristic
72C2×C22⋊C4×D17C2211yescharacteristic
73#11762749C2211yescharacteristic, complemented
74#11762746C2211yescharacteristic, complemented
75#11762744C2211yescharacteristic, complemented
76#11762744C2211yescharacteristic, complemented
77#11762743C2211yescharacteristic, complemented
78#11762742C2211yescharacteristic, complemented
79#11762739C2211yescharacteristic, complemented
80#11762739C2211yescharacteristic, complemented
81#11762738C2211yescharacteristic, complemented
82#11762738C2211yescharacteristic, complemented
83#11762738C2211yescharacteristic, complemented
84#11762736C2211yescharacteristic, complemented
85#11762735C2211yescharacteristic, complemented
86#11762735C2211yescharacteristic, complemented
87#11762733C2211yescharacteristic, complemented
88#11762731C2211yescharacteristic, complemented
89#11762731C2211yescharacteristic, complemented
90#11762731C2211yescharacteristic, complemented
91#11762730C2211yescharacteristic, complemented
92#11762727C2211yescharacteristic
93#11762727C2211yescharacteristic
94#11762727C2211yescharacteristic, complemented
95#11762727C2211yescharacteristic, complemented
96#11762726C2211yescharacteristic
97#11762726C2211yescharacteristic
98#11762726C2211yescharacteristic
99#11762726C2211yescharacteristic
100#11762726C2211yescharacteristic, complemented
101#11762726C2211yescharacteristic, complemented
102#11762722C2211yescharacteristic, complemented
103#11762719C2211yescharacteristic
104#11762719C2211yescharacteristic
105#11762708C2211yescharacteristic, complemented
106#11762706C2211yescharacteristic, complemented
107#11762701C2211yescharacteristic, complemented
108#11762700C2211yescharacteristic, complemented
109#11762700C2211yescharacteristic, complemented
110#11762700C2211yescharacteristic, complemented
111#11762699C2211yescharacteristic, complemented
112#11762699C2211yescharacteristic, complemented
113#11762698C2211yescharacteristic, complemented
114#11762698C2211yescharacteristic, complemented
115#11762695C2211yescharacteristic, complemented
116#11762694C2211yescharacteristic, complemented
117#11762694C2211yescharacteristic, complemented
118#11762693C2211yescharacteristic, complemented
119#11762693C2211yescharacteristic, complemented
120#11762693C2211yescharacteristic, complemented
121#11762688C2211yescharacteristic
122#11762688C2211yescharacteristic
123#11762688C2211yescharacteristic
124#11762687C2211yescharacteristic
125#11762687C2211yescharacteristic
126#11762687C2211yescharacteristic
127#11762687C2211yescharacteristic
128#11762687C2211yescharacteristic, complemented
129#11762687C2211yescharacteristic, complemented
130#11762687C2211yescharacteristic, complemented
131#11762687C2211yescharacteristic, complemented
132#11762687C2211yescharacteristic, complemented
133#11762687C2211yescharacteristic, complemented
134#11762686C2211yescharacteristic
135#11762684C2211yescharacteristic
136#11762683C2211yescharacteristic, complemented
137#11762683C2211yescharacteristic, complemented
138#11762683C2211yescharacteristic, complemented
139#11762683C2211yescharacteristic, complemented
140#11762683C2211yescharacteristic, complemented
141#11762683C2211yescharacteristic, complemented
142#11762682C2211yescharacteristic
143#11762682C2211yescharacteristic
144#11762682C2211yescharacteristic
145#11762681C2211yescharacteristic
146#11762681C2211yescharacteristic
147#11762680C2211yescharacteristic, complemented
148#11762680C2211yescharacteristic, complemented
149#11762680C2211yescharacteristic, complemented
150#11762680C2211yescharacteristic, complemented
151#11762680C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic, complemented
153#11762680C2211yescharacteristic, complemented
154#11762680C2211yescharacteristic, complemented
155#11762680C2211yescharacteristic, complemented
156#11762680C2211yescharacteristic, complemented
157#11762677C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic, complemented
159#11762671C2211yescharacteristic, complemented
160#11762671C2211yescharacteristic, complemented
161#11762668C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169C22⋊C4×Dic17C2211yescharacteristic
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173#95×D17C2211yescharacteristic, complemented
174C2×C17×#125C2211yescharacteristic, complemented
175C22×C42×C17C2211yescharacteristic
176C17×#389C2211yescharacteristic, complemented
177C17×#389C2211yescharacteristic, complemented
178C17×#387C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#387C2211yescharacteristic, complemented
182C17×#385C2211yescharacteristic
183C17×#385C2211yescharacteristic
184C17×#385C2211yescharacteristic
185C17×#385C2211yescharacteristic
186C17×#382C2211yescharacteristic, complemented
187C17×#380C2211yescharacteristic
188C17×#380C2211yescharacteristic
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C23×Dic17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C22×D68—24no—
198C22×D68—24no—
199C22×D68—24no—
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×D68C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×D68C2311yescharacteristic
208C22×C4×D17—24no—
209C22×C4×D17—24no—
210C22×C4×D17—42no—
211C22×C4×D17—42no—
212C22×C4×D17—42no—
213C22×C4×D17—42no—
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×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×Dic34C2311yescharacteristic
228C17×#125—24no—
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C42×C17—24no—
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×#63227—24no—
254C2×#63227—24no—
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×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×C4⋊Dic17—24no—
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322#10587584—24no—
323#10587583—24no—
324#10587582—24no—
325#10587582—24no—
326#10587582—42no—
327#10587581—24no—
328#10587581—24no—
329#10587580—24no—
330#10587580—24no—
331#10587580—24no—
332#10587580—24no—
333#10587580—24no—
334#10587580—42no—
335#10587579—24no—
336#10587579—42no—
337C4⋊C4×D17—24no—
338C4⋊C4×D17—42no—
339#10587575—24no—
340#10587568—24no—
341#10587568—42no—
342#10587567—42no—
343C22⋊C4×D17—24no—
344C22⋊C4×D17—42no—
345#10587564—42no—
346#10587562—24no—
347C4×D68—24no—
348C4×D68—24no—
349C4×D68—24no—
350C4×D68—24no—
351C4×D68—24no—
352C4×D68—24no—
353C4×D68—24no—
354C4×D68D418yescomplemented
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
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
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C23×D17—22no—
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—41no—
402C23×D17—41no—
403C23×D17—41no—
404C23×D17—41no—
405C23×D17#4114yes—
406C23×D17C2411yescharacteristic
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—41no—
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—22no—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—22no—
441C22×Dic17—41no—
442C22×Dic17—41no—
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C2×D68—232no—
455C2×D68—22no—
456C2×D68—22no—
457C2×D68—22no—
458C2×D68—22no—
459C2×D68—22no—
460C2×D68—22no—
461C2×D68—22no—
462C2×D68—22no—
463C2×D68—22no—
464C2×D68—22no—
465C2×D68—22no—
466C2×D68—22no—
467C2×D68—22no—
468C2×D68—22no—
469C2×D68—22no—
470C2×D68—22no—
471C2×D68—41no—
472C2×D68—41no—
473C2×D68—41no—
474C2×D68—41no—
475C2×D68—41no—
476C2×D68—41no—
477C2×D68C2×D414yes—
478C2×D68#4114yes—
479C2×C4×D17—22no—
480C2×C4×D17—22no—
481C2×C4×D17—22no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—22no—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—41no—
497C2×C4×D17—41no—
498C2×C4×D17—41no—
499C2×C4×D17—41no—
500C2×C4×D17—41no—
501C2×C4×D17—41no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C2×C4×D17—41no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—416no—
511C2×C4×D17—416no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17C2×D414yes—
519C2×C4×D17C2×D414yes—
520C2×Dic34—22no—
521C2×Dic34—41no—
522C2×Dic34—41no—
523C4⋊C4×C17—22no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—22no—
527C4⋊C4×C17—22no—
528C4⋊C4×C17—22no—
529C4⋊C4×C17—22no—
530C4⋊C4×C17—22no—
531C4⋊C4×C17—22no—
532C4⋊C4×C17—22no—
533C4⋊C4×C17—41no—
534C4⋊C4×C17—41no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—22no—
539C42×C17—22no—
540C42×C17—22no—
541C42×C17—22no—
542C42×C17C2×D414yes—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546#63227—22no—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227C2×D414yes—
586#63227C2×D414yes—
587C4⋊Dic17—22no—
588C4⋊Dic17—22no—
589C4⋊Dic17—22no—
590C4⋊Dic17—22no—
591C4⋊Dic17—41no—
592C4⋊Dic17—41no—
593C4⋊Dic17C2×D414yes—
594#63225—22no—
595#63225—22no—
596#63225—22no—
597#63225—22no—
598#63225—22no—
599#63225—22no—
600#63225—22no—
601#63225—22no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605#63225—41no—
606#63225—41no—
607#63225—41no—
608#63225—41no—
609C4×Dic17—22no—
610C4×Dic17—41no—
611C4×Dic17—41no—
612#34991—171nomaximal, Sylow
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17C2×#4112yes—
618C23×C17H(5,𝔽2)12yes—
619C23×C172−1+412yes—
620C23×C17C2511yescharacteristic
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—28no—
626C22×D17—28no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—28no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—44no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17—44no—
659C22×D17—44no—
660C22×D17—44no—
661C22×D17—44no—
662C22×D17—44no—
663C22×D17—44no—
664C22×D17C22×D412yes—
665C22×D17C22×D412yes—
666C22×D17C2×#4112yes—
667C22×D17C2×#4112yes—
668C22×D17C2×#4112yes—
669C22×D17C2×#4112yes—
670C2×C4×C17—28no—
671C2×C4×C17—28no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—44no—
710C2×C4×C17C22×D412yes—
711C2×C4×C17C22×D412yes—
712C2×C4×C17C22×D412yes—
713C2×C4×C17C2×#4112yes—
714C2×C4×C17H(5,𝔽2)12yes—
715C22⋊D17—44no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—44no—
748C2×Dic17—44no—
749C2×Dic17C22×D412yes—
750C2×Dic17C22×D412yes—
751D68—28no—
752D68—28no—
753D68—28no—
754D68—28no—
755D68—44no—
756D68—44no—
757D68—82no—
758D68—82no—
759C4×D17—44no—
760C4×D17—44no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764C4×D17—44no—
765C4×D17—44no—
766C4×D17—44no—
767C4×D17—44no—
768C4×D17—44no—
769C4×D17—82no—
770C4×D17—82no—
771C4×D17—82no—
772Dic34—82no—
773C2×#539—171no—
774C22×C4×D4—171no—
775#2852—171no—
776#2851D1711yescharacteristic, complemented
777#2849—171no—
778#2848—171no—
779#2638—171no—
780#2636—171no—
781#2633—171no—
782#2630—171no—
783#2480—171no—
784#2473—171no—
785#2466—171no—
786#2463—171no—
787#2460—171no—
788#2455—171no—
789#2449—171no—
790#2449—171no—
791#2443—171no—
792#2437—171no—
793#2425—171no—
794#2419—171no—
795#2418—171no—
796#2412—171no—
797#2410—171no—
798#2405—171no—
799#2325—171no—
800#2322—171no—
801#2318—171no—
802C4×#120—171no—
803C2×#385—171no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
809C22×C17—22no—
810C22×C17#53914yescomplemented
811C22×C17C23×D411yescharacteristic
812C22×C17C22×#4111yescharacteristic
813C22×C17C22×#4111yescharacteristic
814C22×C17C2×H(5,𝔽2)11yescharacteristic
815C22×C17C2×H(5,𝔽2)11yescharacteristic
816C22×C17C2×2−1+411yescharacteristic
817C22×C17#58511yescharacteristic
818C2×D17—22no—
819C2×D17—22no—
820C2×D17—22no—
821C2×D17—22no—
822C2×D17—22no—
823C2×D17—22no—
824C2×D17—22no—
825C2×D17—22no—
826C2×D17—22no—
827C2×D17—22no—
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—416no—
834C2×D17—416no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17—41no—
853C2×D17—41no—
854C2×D17#52514yes—
855C4×C17—22no—
856C4×C17—22no—
857C4×C17—22no—
858C4×C17—22no—
859C4×C17—22no—
860C4×C17—41no—
861C4×C17—41no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17—41no—
865C4×C17—41no—
866C4×C17—41no—
867C4×C17—41no—
868C4×C17—41no—
869Dic17—22no—
870Dic17—22no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17—41no—
875Dic17—41no—
876Dic17—41no—
877Dic17—41no—
878Dic17—41no—
879Dic17—41no—
880C23×D4—171no—
881C24×C4—171no—
882C24×C4—171no—
883#539—348no—
884C2×#126—171no—
885C2×#126—171no—
886C2×#125—171no—
887C2×#125C2×D1711yescharacteristic, complemented
888C2×#123—171no—
889C2×#123—171no—
890C2×#123—171no—
891C2×#123—171no—
892C2×#123—171no—
893C2×#123—171no—
894C2×C22⋊Q8—171no—
895C2×C22⋊Q8—171no—
896C2×C22⋊Q8—171no—
897C2×C22⋊Q8—171no—
898C2×C22⋊Q8—171no—
899C2×#121—171no—
900C2×#121—171no—
901C2×#120—171no—
902C2×#120—171no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4—171no—
907C2×C4×D4—171no—
908C2×C4×D4—171no—
909C2×C4×D4—171no—
910C2×C4×D4—171no—
911C2×C4×D4—171no—
912C2×C4×D4—171no—
913C2×C4×D4—171no—
914C2×C4×D4—348no—
915C22×C4⋊C4—171no—
916C22×C4⋊C4—171no—
917C22×C4⋊C4—171no—
918C22×C22⋊C4—171no—
919C22×C22⋊C4—171no—
920C22×C22⋊C4—171no—
921C22×C22⋊C4—171no—
922C22×C42C2×D1711yescharacteristic
923#400—171no—
924#399—171no—
925#399—171no—
926#399—171no—
927#398—171no—
928#398—171no—
929#398—171no—
930#398—171no—
931#397—171no—
932#397—171no—
933#397—171no—
934#397—171no—
935#397—171no—
936#397—171no—
937#396—171no—
938#396—171no—
939#396—171no—
940#396—171no—
941#395—171no—
942#394—171no—
943#394—171no—
944#394—171no—
945#394—171no—
946#394—171no—
947#394—171no—
948#394—171no—
949#394—171no—
950#394—171no—
951#394—171no—
952#393—171no—
953#392—171no—
954#392—171no—
955#389—171no—
956#389—171no—
957#389C2×D1711yescharacteristic, complemented
958#389C2×D1711yescharacteristic, complemented
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#387—171no—
968#387—171no—
969#387—171no—
970#387—171no—
971#387—171no—
972#387—171no—
973#387C2×D1711yescharacteristic, complemented
974#387C2×D1711yescharacteristic, complemented
975#387C2×D1711yescharacteristic, complemented
976#387C2×D1711yescharacteristic, complemented
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#385—171no—
1002#385—171no—
1003#385—171no—
1004#385—171no—
1005#385—171no—
1006#385—171no—
1007#385—171no—
1008#385—171no—
1009#385—171no—
1010#385—171no—
1011#385—171no—
1012#385—171no—
1013#385C2×D1711yescharacteristic
1014#385C2×D1711yescharacteristic
1015#385C2×D1711yescharacteristic
1016#385C2×D1711yescharacteristic
1017#383—171no—
1018#382C2×D1711yescharacteristic, complemented
1019#381—171no—
1020#381—171no—
1021#381—171no—
1022#380—171no—
1023#380—171no—
1024#380—171no—
1025#380—171no—
1026#380C2×D1711yescharacteristic
1027#380C2×D1711yescharacteristic
1028#379—171no—
1029#379—171no—
1030#379—171no—
1031#379—171no—
1032C4×C22⋊C4—171no—
1033C4×C22⋊C4—171no—
1034C4×C22⋊C4—171no—
1035C2×#95—171no—
1036C2×#95—171no—
1037C2×C17—24no—
1038C2×C17C2×#52511yescharacteristic
1039C2×C17C2×#53911yescharacteristic
1040C2×C17#345911yescharacteristic
1041C2×C17#348411yescharacteristic
1042C2×C17#348911yescharacteristic
1043C2×C17#351311yescharacteristic
1044C2×C17#352011yescharacteristic
1045D17—24no—
1046D17—42no—
1047D17—42no—
1048D17—42no—
1049D17—81no—
1050C25—171no—
1051C25—171no—
1052C22×Q8—171no—
1053C22×D4—171no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4—171no—
1062C22×D4—344no—
1063C22×D4—344no—
1064C22×D4—344no—
1065C23×C4—171no—
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—171no—
1075C23×C4—171no—
1076C23×C4—171no—
1077C23×C4—171no—
1078C23×C4—171no—
1079C23×C4—171no—
1080C23×C4—344no—
1081C23×C4—344no—
1082C23×C4—682no—
1083C23×C4—682no—
1084C23×C4—682no—
1085C23×C4—682no—
1086C23×C4C22×D1711yescharacteristic
1087C23×C4C22×D1711yescharacteristic
1088C23×C4C22×D1711yescharacteristic
1089#126—344no—
1090#126—344no—
1091#125—24no—
1092#125—344no—
1093#123—344no—
1094#123—344no—
1095#123—344no—
1096#123—344no—
1097#123—344no—
1098#123—682no—
1099C22⋊Q8—344no—
1100C22⋊Q8—344no—
1101C22⋊Q8—344no—
1102C22⋊Q8—682no—
1103C22⋊Q8—682no—
1104#121—344no—
1105#121—344no—
1106#120—344no—
1107#120—682no—
1108C4×D4—178no—
1109C4×D4—344no—
1110C4×D4—344no—
1111C4×D4—344no—
1112C4×D4—344no—
1113C4×D4—344no—
1114C4×D4—344no—
1115C4×D4—344no—
1116C4×D4—344no—
1117C4×D4—682no—
1118C4×D4—682no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—344no—
1142C2×C4⋊C4—344no—
1143C2×C4⋊C4—682no—
1144C2×C4⋊C4C22×D1711yescharacteristic
1145C2×C4⋊C4C22×D1711yescharacteristic
1146C2×C4⋊C4C22×D1711yescharacteristic
1147C2×C4⋊C4C22×D1711yescharacteristic
1148C2×C4⋊C4C22×D1711yescharacteristic
1149C2×C4⋊C4C22×D1711yescharacteristic
1150C2×C4⋊C4C22×D1711yescharacteristic
1151C2×C4⋊C4C22×D1711yescharacteristic
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C4⋊C4C22×D1711yescharacteristic
1154C2×C4⋊C4C22×D1711yescharacteristic
1155C2×C4⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—344no—
1201C2×C22⋊C4—344no—
1202C2×C22⋊C4—344no—
1203C2×C22⋊C4—682no—
1204C2×C22⋊C4C22×D1711yescharacteristic
1205C2×C22⋊C4C22×D1711yescharacteristic
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C22⋊C4C22×D1711yescharacteristic
1208C2×C42—24no—
1209C2×C42—171no—
1210C2×C42—171no—
1211C2×C42—171no—
1212C2×C42C22×D1711yescharacteristic
1213C2×C42C22×D1711yescharacteristic
1214C2×C42C22×D1711yescharacteristic
1215C2×C42C22×D1711yescharacteristic
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244#95C22×D1711yescharacteristic
1245#95C22×D1711yescharacteristic
1246#95C22×D1711yescharacteristic
1247#95C22×D1711yescharacteristic
1248#95C22×D1711yescharacteristic
1249#95C22×D1711yescharacteristic
1250#95C22×D1711yescharacteristic
1251#95C22×D1711yescharacteristic
1252C17#3499111yescharacteristic, complemented, Sylow
1253C24—171no—
1254C24—171no—
1255C24—171no—
1256C24—171no—
1257C24—174no—
1258C24—171no—
1259C24—342no—
1260C24—342no—
1261C24—342no—
1262C24—342no—
1263C24—342no—
1264C24—342no—
1265C24—342no—
1266C24—342no—
1267C24—342no—
1268C24—681no—
1269C24—681no—
1270C24—681no—
1271C24—681no—
1272C24C23×D1711yescharacteristic
1273C2×Q8—342no—
1274C2×Q8—681no—
1275C2×Q8—681no—
1276C2×D4—174no—
1277C2×D4—174no—
1278C2×D4—342no—
1279C2×D4—342no—
1280C2×D4—342no—
1281C2×D4—342no—
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—3432no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4—681no—
1303C2×D4—681no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—41no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—174no—
1316C22×C4—174no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—171no—
1320C22×C4—171no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—342no—
1327C22×C4—342no—
1328C22×C4—342no—
1329C22×C4—342no—
1330C22×C4—342no—
1331C22×C4—342no—
1332C22×C4—342no—
1333C22×C4—342no—
1334C22×C4—342no—
1335C22×C4—342no—
1336C22×C4—342no—
1337C22×C4—342no—
1338C22×C4—342no—
1339C22×C4—342no—
1340C22×C4—342no—
1341C22×C4—342no—
1342C22×C4—342no—
1343C22×C4—342no—
1344C22×C4—342no—
1345C22×C4—342no—
1346C22×C4—342no—
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×C4—681no—
1361C22×C4—681no—
1362C22×C4—681no—
1363C22×C4—681no—
1364C22×C4—681no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4—6816no—
1368C22×C4—6816no—
1369C22×C4—681no—
1370C22×C4—681no—
1371C22×C4C23×D1711yescharacteristic
1372C22×C4C23×D1711yescharacteristic
1373C22×C4C23×D1711yescharacteristic
1374C22×C4C23×D1711yescharacteristic
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C22×C4C23×D1711yescharacteristic
1383C22×C4C23×D1711yescharacteristic
1384C22×C4C23×D1711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—174no—
1398C4⋊C4—342no—
1399C4⋊C4—342no—
1400C4⋊C4—342no—
1401C4⋊C4—342no—
1402C4⋊C4—342no—
1403C4⋊C4—342no—
1404C4⋊C4—342no—
1405C4⋊C4—342no—
1406C4⋊C4—342no—
1407C4⋊C4—342no—
1408C4⋊C4—342no—
1409C4⋊C4—342no—
1410C4⋊C4—681no—
1411C4⋊C4—681no—
1412C4⋊C4—681no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—174no—
1424C22⋊C4—174no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
1451C22⋊C4—342no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—342no—
1471C42—681no—
1472C42—681no—
1473C42D4×D1714yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—172no—
1479C23—172no—
1480C23—172no—
1481C23—172no—
1482C23—172no—
1483C23—172no—
1484C23—348no—
1485C23—348no—
1486C23—341no—
1487C23—341no—
1488C23—341no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
1492C23—341no—
1493C23—341no—
1494C23—341no—
1495C23—341no—
1496C23—341no—
1497C23—341no—
1498C23—341no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—341no—
1506C23—341no—
1507C23—341no—
1508C23—348no—
1509C23—341no—
1510C23—341no—
1511C23—341no—
1512C23—341no—
1513C23—341no—
1514C23—341no—
1515C23—341no—
1516C23—684no—
1517C23—684no—
1518C23—684no—
1519C23—684no—
1520C23—684no—
1521C23—684no—
1522C23—684no—
1523C23—684no—
1524C23—684no—
1525C23—684no—
1526C23—684no—
1527C23#1058769412yes—
1528C23#41×D1712yes—
1529C23#1058769612yes—
1530C23C24×D1711yescharacteristic
1531Q8—1362no—
1532D4—348no—
1533D4—348no—
1534D4—348no—
1535D4—348no—
1536D4—684no—
1537D4—684no—
1538D4—684no—
1539D4—1362no—
1540D4—1362no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—44no—
1581C2×C4—172no—
1582C2×C4—172no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—341no—
1614C2×C4—684no—
1615C2×C4—684no—
1616C2×C4—684no—
1617C2×C4—684no—
1618C2×C4—684no—
1619C2×C4—684no—
1620C2×C4—684no—
1621C2×C4—684no—
1622C2×C4—684no—
1623C2×C4—684no—
1624C2×C4—684no—
1625C2×C4—684no—
1626C2×C4—1362no—
1627C2×C4—1362no—
1628C2×C4—1362no—
1629C2×C4C2×D4×D1712yes—
1630C2×C4C2×D4×D1712yes—
1631C2×C4C2×D4×D1712yes—
1632C2×C4#41×D1712yes—
1633C2×C4#1058769612yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—174no—
1641C22—342no—
1642C22—342no—
1643C22—342no—
1644C22—342no—
1645C22—342no—
1646C22—342no—
1647C22—342no—
1648C22—342no—
1649C22—342no—
1650C22—342no—
1651C22—342no—
1652C22—342no—
1653C22—342no—
1654C22—342no—
1655C22—342no—
1656C22—6816no—
1657C22—6816no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22—681no—
1662C22—681no—
1663C22—681no—
1664C22—681no—
1665C22—681no—
1666C22—681no—
1667C22—681no—
1668C22—681no—
1669C22—681no—
1670C22—681no—
1671C22—681no—
1672C22—681no—
1673C22—681no—
1674C22—681no—
1675C22—681no—
1676C22—681no—
1677C22#1176340714yescomplemented
1678C22C22×D4×D1711yescharacteristic
1679C22C2×#41×D1711yescharacteristic
1680C22C2×#41×D1711yescharacteristic
1681C22C2×#1058769611yescharacteristic
1682C22C2×#1058769611yescharacteristic
1683C22C2×#1058769411yescharacteristic
1684C22#1176364511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—342no—
1700C4—342no—
1701C4—681no—
1702C4—681no—
1703C4—681no—
1704C4—681no—
1705C4—681no—
1706C4—681no—
1707C4—681no—
1708C4—681no—
1709C4—681no—
1710C2—24no—
1711C2—344no—
1712C2—682no—
1713C2—682no—
1714C2—682no—
1715C2—1361no—
1716C2D17×#52511yescharacteristic
1717C2C2×#1176340711yescharacteristic
1718C2#1454219411yescharacteristic
1719C2#1454241711yescharacteristic
1720C2#1454246011yescharacteristic
1721C2#1454272811yescharacteristic
1722C2#1454282811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2851C2
prime radical#14532156C2
hypercenter#2851D17
hypocenterC17#34991
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C2×#11763407C2semidirect
2. C22×C4×D68C2semidirect
3. #14537099C2semidirect
4. #14537079C2semidirect
5. #14537070C2semidirect
6. #14534708C2semidirect
7. #14534683C2semidirect
8. #14534653C2semidirect
9. #14534633C2semidirect
10. #14533035C2semidirect
11. #14532922C2semidirect
12. #14532825C2semidirect
13. #14532779C2semidirect
14. #14532733C2semidirect
15. #14532668C2semidirect
16. #14532600C2semidirect
17. #14532591C2semidirect
18. #14532524C2semidirect
19. #14532452C2semidirect
20. #14532342C2semidirect
21. #14532266C2semidirect
22. #14532252C2semidirect
23. #14532177C2semidirect
25. #14532113C2semidirect
26. #14531483C2semidirect
27. #14531457C2semidirect
28. #14531420C2semidirect
29. #14531285C2semidirect
30. D17×#385C2semidirect
31. C17×#2851C2semidirect
36. C2×#10587584C22semidirect
37. C2×#10587562C22semidirect
38. C2×#10587575C22semidirect
41. C2×#10587580C22semidirect
42. C2×#10587580C22semidirect
43. C2×#10587580C22semidirect
44. C2×#10587580C22semidirect
45. C2×#10587583C22semidirect
46. C2×#10587582C22semidirect
47. C2×#10587582C22semidirect
48. C2×#10587582C22semidirect
63. C2×#10587579C22semidirect
64. C2×#10587579C22semidirect
67. C2×C4⋊C4×D17C22semidirect
68. C2×C4⋊C4×D17C22semidirect
73. #11762749C22semidirect
74. #11762746C22semidirect
75. #11762744C22semidirect
76. #11762744C22semidirect
77. #11762743C22semidirect
78. #11762742C22semidirect
79. #11762739C22semidirect
80. #11762739C22semidirect
81. #11762738C22semidirect
82. #11762738C22semidirect
83. #11762738C22semidirect
84. #11762736C22semidirect
85. #11762735C22semidirect
86. #11762735C22semidirect
87. #11762733C22semidirect
88. #11762731C22semidirect
89. #11762731C22semidirect
90. #11762731C22semidirect
91. #11762730C22semidirect
94. #11762727C22semidirect
95. #11762727C22semidirect
100. #11762726C22semidirect
101. #11762726C22semidirect
102. #11762722C22semidirect
105. #11762708C22semidirect
106. #11762706C22semidirect
107. #11762701C22semidirect
108. #11762700C22semidirect
109. #11762700C22semidirect
110. #11762700C22semidirect
111. #11762699C22semidirect
112. #11762699C22semidirect
113. #11762698C22semidirect
114. #11762698C22semidirect
115. #11762695C22semidirect
116. #11762694C22semidirect
117. #11762694C22semidirect
118. #11762693C22semidirect
119. #11762693C22semidirect
120. #11762693C22semidirect
128. #11762687C22semidirect
129. #11762687C22semidirect
130. #11762687C22semidirect
131. #11762687C22semidirect
132. #11762687C22semidirect
133. #11762687C22semidirect
136. #11762683C22semidirect
137. #11762683C22semidirect
138. #11762683C22semidirect
139. #11762683C22semidirect
140. #11762683C22semidirect
141. #11762683C22semidirect
147. #11762680C22semidirect
148. #11762680C22semidirect
149. #11762680C22semidirect
150. #11762680C22semidirect
151. #11762680C22semidirect
152. #11762680C22semidirect
153. #11762680C22semidirect
154. #11762680C22semidirect
155. #11762680C22semidirect
156. #11762680C22semidirect
157. #11762677C22semidirect
158. #11762671C22semidirect
159. #11762671C22semidirect
160. #11762671C22semidirect
161. #11762668C22semidirect
162. #11762668C22semidirect
163. #11762668C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #95×D17C22semidirect
173. #95×D17C22semidirect
174. C2×C17×#125C22semidirect
176. C17×#389C22semidirect
177. C17×#389C22semidirect
178. C17×#387C22semidirect
179. C17×#387C22semidirect
180. C17×#387C22semidirect
181. C17×#387C22semidirect
186. C17×#382C22semidirect
354. C4×D68D4semidirect
776. #2851D17semidirect
810. C22×C17#539semidirect
887. C2×#125C2×D17semidirect
957. #389C2×D17semidirect
958. #389C2×D17semidirect
973. #387C2×D17semidirect
974. #387C2×D17semidirect
975. #387C2×D17semidirect
976. #387C2×D17semidirect
1018. #382C2×D17semidirect
1252. C17#34991semidirect
1677. C22#11763407semidirect

Maximal subgroups

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

subgroupindex
C2×#117634072
C22×C4×D682
#145370992
#145370792
#145370702
#145347082
#145346832
#145346532
#145346332
#145330352
#145329222
#145328252
#145327792
#145327332
#145326682
#145326002
#145325912
#145325242
#145324522
#145323422
#145322662
#145322522
#145321772
#145321562
#145321132
#145314832
#145314572
#145314202
#145312852
D17×#3852
C17×#28512
#3499117