Finite Group Databasebeta

← #17241367

Subgroups — #17241367

Order 4352.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763405C211yesmaximal, characteristic, complemented
2C2×#11763322C211yesmaximal, characteristic, complemented
3#14537075C211yesmaximal, characteristic, complemented
4#14537068C211yesmaximal, characteristic, complemented
5#14535485C211yesmaximal, characteristic, complemented
6#14535478C211yesmaximal, characteristic, complemented
7#14535438C211yesmaximal, characteristic, complemented
8#14535431C211yesmaximal, characteristic, complemented
9#14535392C211yesmaximal, characteristic, complemented
10#14535365C211yesmaximal, characteristic, complemented
11#14535342C211yesmaximal, characteristic, complemented
12#14535182C211yesmaximal, characteristic, complemented
13#14535144C211yesmaximal, characteristic, complemented
14#14535139C211yesmaximal, characteristic, complemented
15#14535139C211yesmaximal, characteristic, complemented
16#14535128C211yesmaximal, characteristic, complemented
17#14535123C211yesmaximal, characteristic, complemented
18#14535110C211yesmaximal, characteristic, complemented
19#14535106C211yesmaximal, characteristic, complemented
20#14534710C211yesmaximal, characteristic, complemented
21#14534632C211yesmaximal, characteristic, complemented
22#14534481C211yesmaximal, characteristic, complemented
23#14534407C211yesmaximal, characteristic, complemented
24#14534384C211yesmaximal, characteristic, complemented
25#14534368C211yesmaximal, characteristic, complemented
26#14534126C211yesmaximal, characteristic, complemented
27#14533979C211yesmaximal, characteristic, complemented
28#14532131C211yesmaximal, characteristic, complemented
29#14532120C211yesmaximal, characteristic, complemented
30#14531423C211yesmaximal, characteristic, complemented
31C17×#2683C211yesmaximal, characteristic, complemented
32C22×#63256C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763405—28no—
35C2×#10587584C2211yescharacteristic
36C2×#10587565C2211yescharacteristic, complemented
37C2×#10587575C2211yescharacteristic, complemented
38C2×#10587575C2211yescharacteristic, complemented
39#11763322—28no—
40C2×#10587580C2211yescharacteristic
41C2×#10587580C2211yescharacteristic
42C2×#10587580C2211yescharacteristic
43C2×#10587580C2211yescharacteristic
44C2×#10587580C2211yescharacteristic, complemented
45C2×#10587615C2211yescharacteristic
46C2×#10587569C2211yescharacteristic
47C2×#10587569C2211yescharacteristic
48C2×#10587569C2211yescharacteristic, complemented
49C2×#10587632C2211yescharacteristic
50C2×#10587632C2211yescharacteristic
51C2×#10587632C2211yescharacteristic
52C2×#10587632C2211yescharacteristic, complemented
53C2×#10587581C2211yescharacteristic
54C2×#10587616C2211yescharacteristic
55C2×#10587616C2211yescharacteristic
56C2×#10587570C2211yescharacteristic
57C2×#10587568C2211yescharacteristic
58C2×#10587568C2211yescharacteristic
59C2×#10587623C2211yescharacteristic
60C2×#10587579C2211yescharacteristic
61C2×#10587579C2211yescharacteristic
62C2×C4×C22⋊D17C2211yescharacteristic, complemented
63C2×#10587567C2211yescharacteristic
64C2×#10587567C2211yescharacteristic
65C2×#10587578C2211yescharacteristic
66C2×C4⋊C4×D17C2211yescharacteristic, complemented
67#11762751C2211yescharacteristic, complemented
68#11762744C2211yescharacteristic
69#11762742C2211yescharacteristic, complemented
70#11762742C2211yescharacteristic, complemented
71#11762742C2211yescharacteristic, complemented
72#11762742C2211yescharacteristic, complemented
73#11762742C2211yescharacteristic, complemented
74#11762739C2211yescharacteristic, complemented
75#11762739C2211yescharacteristic, complemented
76#11762738C2211yescharacteristic
77#11762738C2211yescharacteristic, complemented
78#11762737C2211yescharacteristic, complemented
79#11762736C2211yescharacteristic
80#11762736C2211yescharacteristic, complemented
81#11762735C2211yescharacteristic
82#11762735C2211yescharacteristic
83#11762732C2211yescharacteristic
84#11762732C2211yescharacteristic
85#11762731C2211yescharacteristic
86#11762731C2211yescharacteristic, complemented
87#11762731C2211yescharacteristic, complemented
88#11762731C2211yescharacteristic, complemented
89#11762728C2211yescharacteristic, complemented
90#11762727C2211yescharacteristic
91#11762727C2211yescharacteristic
92#11762727C2211yescharacteristic
93#11762726C2211yescharacteristic
94#11762726C2211yescharacteristic
95#11762726C2211yescharacteristic
96#11762726C2211yescharacteristic, complemented
97#11762725C2211yescharacteristic
98#11762725C2211yescharacteristic
99#11762725C2211yescharacteristic
100#11762725C2211yescharacteristic, complemented
101#11762724C2211yescharacteristic
102#11762724C2211yescharacteristic, complemented
103#11762720C2211yescharacteristic, complemented
104#11762718C2211yescharacteristic
105#11762718C2211yescharacteristic
106#11762718C2211yescharacteristic, complemented
107#11762717C2211yescharacteristic
108#11762717C2211yescharacteristic
109#11762716C2211yescharacteristic, complemented
110#11762711C2211yescharacteristic
111#11762710C2211yescharacteristic
112#11762710C2211yescharacteristic
113#11762709C2211yescharacteristic
114#11762709C2211yescharacteristic
115#11762709C2211yescharacteristic
116#11762709C2211yescharacteristic, complemented
117#11762708C2211yescharacteristic, complemented
118#11762708C2211yescharacteristic, complemented
119#11762704C2211yescharacteristic, complemented
120#11762703C2211yescharacteristic
121#11762702C2211yescharacteristic, complemented
122#11762702C2211yescharacteristic, complemented
123#11762701C2211yescharacteristic
124#11762701C2211yescharacteristic
125#11762701C2211yescharacteristic, complemented
126#11762700C2211yescharacteristic
127#11762700C2211yescharacteristic, complemented
128#11762699C2211yescharacteristic
129#11762699C2211yescharacteristic
130#11762699C2211yescharacteristic, complemented
131#11762697C2211yescharacteristic
132#11762695C2211yescharacteristic, complemented
133#11762694C2211yescharacteristic, complemented
134#11762691C2211yescharacteristic, complemented
135#11762691C2211yescharacteristic, complemented
136#11762689C2211yescharacteristic
137#11762687C2211yescharacteristic
138#11762687C2211yescharacteristic, complemented
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic
143#11762685C2211yescharacteristic, complemented
144#11762684C2211yescharacteristic
145#11762683C2211yescharacteristic
146#11762683C2211yescharacteristic
147#11762683C2211yescharacteristic, complemented
148#11762683C2211yescharacteristic, complemented
149#11762682C2211yescharacteristic
150#11762682C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic
152#11762681C2211yescharacteristic
153#11762680C2211yescharacteristic
154#11762680C2211yescharacteristic
155#11762680C2211yescharacteristic
156#11762680C2211yescharacteristic
157#11762680C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic, complemented
159#11762680C2211yescharacteristic, complemented
160#11762678C2211yescharacteristic, complemented
161#11762673C2211yescharacteristic, complemented
162#11762671C2211yescharacteristic
163#11762671C2211yescharacteristic
164#11762671C2211yescharacteristic, complemented
165#11762669C2211yescharacteristic
166#11762666C2211yescharacteristic
167#11762666C2211yescharacteristic
168#11762666C2211yescharacteristic, complemented
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic
171#11762664C2211yescharacteristic
172C4⋊C4×Dic17C2211yescharacteristic, complemented
173#11762655C2211yescharacteristic, complemented
174C2×C17×C22⋊Q8C2211yescharacteristic
175C2×C17×C22⋊Q8C2211yescharacteristic
176C2×C17×C22⋊Q8C2211yescharacteristic, complemented
177C2×C17×C22⋊Q8C2211yescharacteristic, complemented
178C17×#396C2211yescharacteristic
179C17×#396C2211yescharacteristic
180C17×#396C2211yescharacteristic, complemented
181C17×#396C2211yescharacteristic, complemented
182C17×#395C2211yescharacteristic, complemented
183C17×#395C2211yescharacteristic, complemented
184C17×#390C2211yescharacteristic
185C17×#389C2211yescharacteristic, complemented
186C17×#389C2211yescharacteristic, complemented
187C17×#386C2211yescharacteristic
188C17×#386C2211yescharacteristic
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×Q8×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C2×#63256—24no—
203C2×#63256—42no—
204C2×#63256—42no—
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×D68C2311yescharacteristic
208C22×D68C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×C4×D17—24no—
211C22×C4×D17—42no—
212C22×C4×D17—42no—
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C17×C22⋊Q8—24no—
222C17×C22⋊Q8—24no—
223C17×C22⋊Q8—42no—
224C17×C22⋊Q8—42no—
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×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×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257#10587632—24no—
258#10587632—24no—
259#10587632—24no—
260#10587632—42no—
261#10587623—42no—
262#10587616—24no—
263#10587616—42no—
264#10587615—24no—
265C4×C22⋊D17—24no—
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×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
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×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331#10587584—24no—
332#10587581—24no—
333#10587580—24no—
334#10587580—24no—
335#10587580—24no—
336#10587580—42no—
337#10587580—42no—
338#10587579—24no—
339#10587579D418yescomplemented
340#10587578—24no—
341C4⋊C4×D17—24no—
342#10587575—24no—
343#10587575—24no—
344#10587570—24no—
345#10587569—24no—
346#10587569—24no—
347#10587569—42no—
348#10587568—24no—
349#10587568—24no—
350#10587567—24no—
351#10587567—24no—
352#10587565—24no—
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
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
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—22no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C23×D17C2411yescharacteristic
398C2×Q8×C17—22no—
399C2×Q8×C17—22no—
400C2×Q8×C17—22no—
401C2×Q8×C17—41no—
402C2×Q8×C17—41no—
403C2×Q8×C17—41no—
404C2×D4×C17—22no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17—41no—
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C22×Dic17—22no—
445C22×Dic17—41no—
446C22×Dic17—41no—
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459#63256—416no—
460C2×D68—22no—
461C2×D68—22no—
462C2×D68—22no—
463C2×D68—22no—
464C2×D68—22no—
465C2×D68—22no—
466C2×D68—22no—
467C2×D68—41no—
468C2×D68—41no—
469C2×D68—41no—
470C2×D68—41no—
471C2×D68—41no—
472C2×D68—41no—
473C2×D68—41no—
474C2×D68C2×D414yes—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
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—416no—
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×D17C2×D414yes—
499C2×C4×D17C2×D414yes—
500C4⋊C4×C17—22no—
501C4⋊C4×C17—22no—
502C4⋊C4×C17—22no—
503C4⋊C4×C17—22no—
504C4⋊C4×C17—22no—
505C4⋊C4×C17—22no—
506C4⋊C4×C17—41no—
507C4⋊C4×C17—41no—
508C4⋊C4×C17—41no—
509C4⋊C4×C17—41no—
510C4⋊C4×C17—41no—
511C4⋊C4×C17—41no—
512C4⋊C4×C17C2×D414yes—
513C22⋊C4×C17—22no—
514C22⋊C4×C17—22no—
515C22⋊C4×C17—22no—
516C22⋊C4×C17—22no—
517C22⋊C4×C17—22no—
518C22⋊C4×C17—41no—
519C22⋊C4×C17—41no—
520C22⋊C4×C17—41no—
521C22⋊C4×C17—41no—
522C22⋊C4×C17—41no—
523C42×C17—41no—
524C22⋊Dic17—22no—
525C22⋊Dic17—22no—
526C22⋊Dic17—22no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532#63227—22no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
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—22no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560#63227—41no—
561#63227—41no—
562#63227—41no—
563#63227—41no—
564#63227C2×D414yes—
565#63227C2×D414yes—
566C4⋊Dic17—22no—
567C4⋊Dic17—22no—
568C4⋊Dic17—22no—
569C4⋊Dic17—22no—
570C4⋊Dic17—41no—
571C4⋊Dic17—41no—
572C4⋊Dic17—41no—
573C4⋊Dic17—41no—
574C4⋊Dic17—41no—
575#63225—22no—
576#63225—22no—
577#63225—22no—
578#63225—22no—
579#63225—22no—
580#63225—22no—
581#63225—22no—
582#63225—22no—
583#63225—22no—
584#63225—22no—
585#63225—22no—
586#63225—41no—
587#63225—41no—
588#63225—41no—
589#63225—41no—
590#63225—41no—
591C4×Dic17—22no—
592C4×Dic17—22no—
593C4×Dic17—41no—
594C4×Dic17—41no—
595C4×Dic17—41no—
596C4×Dic17C2×D414yes—
597#36723—171nomaximal, Sylow
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C172−1+412yes—
612C23×C17C2511yescharacteristic
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—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
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—44no—
639C22×D17—44no—
640C22×D17—44no—
641C22×D17—44no—
642C22×D17—44no—
643C22×D17—44no—
644C22×D17—44no—
645C22×D17C22×D412yes—
646C22×D17C22×D412yes—
647C22×D17H(5,𝔽2)12yes—
648Q8×C17—44no—
649Q8×C17—82no—
650D4×C17—82no—
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—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
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—44no—
687C2×C4×C17—82no—
688C2×C4×C17C22×D412yes—
689C2×C4×C17C22×D412yes—
690C2×C4×C17C22×D412yes—
691C2×C4×C17H(5,𝔽2)12yes—
692C22⋊D17—44no—
693C22⋊D17—44no—
694C22⋊D17—44no—
695C22⋊D17—82no—
696C22⋊D17—82no—
697C22⋊D17—82no—
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—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
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—44no—
733C2×Dic17C22×D412yes—
734C2×Dic17C22×D412yes—
735D68—44no—
736D68—44no—
737D68—44no—
738D68—44no—
739D68—44no—
740C4×D17—28no—
741C4×D17—44no—
742C4×D17—44no—
743C4×D17—44no—
744C4×D17—44no—
745C4×D17—44no—
746C4×D17—44no—
747C4×D17—82no—
748C2×#539—171no—
749C2×#525—171no—
750#2849—171no—
751#2848—171no—
752#2707—171no—
753#2706—171no—
754#2704—171no—
755#2703—171no—
756#2701—171no—
757#2698—171no—
758#2697—171no—
759#2685—171no—
760#2683D1711yescharacteristic, complemented
761#2682—171no—
762#2681—171no—
763#2681—171no—
764#2680—171no—
765#2680—171no—
766#2678—171no—
767#2678—171no—
768#2638—171no—
769#2630—171no—
770#2611—171no—
771#2603—171no—
772#2601—171no—
773#2600—171no—
774#2579—171no—
775#2566—171no—
776#2407—171no—
777#2406—171no—
778#2319—171no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—22no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17C23×D411yescharacteristic
794C22×C17C2×H(5,𝔽2)11yescharacteristic
795C22×C17C2×H(5,𝔽2)11yescharacteristic
796C22×C17C2×2−1+411yescharacteristic
797C22×C17#58511yescharacteristic
798C22×C17#58511yescharacteristic
799C22×C17#58511yescharacteristic
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×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—41no—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—41no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842Dic17—22no—
843Dic17—22no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854C22×#41—171no—
855C24×C4—171no—
856#539—348no—
857C2×#126—171no—
858C2×#126—171no—
859C2×#125—171no—
860C2×#125—171no—
861#525—348no—
862C2×#123—171no—
863C2×#123—171no—
864C2×#123—171no—
865C2×#123—171no—
866C2×#123—171no—
867C2×#123—171no—
868C2×#123—171no—
869C2×#123—171no—
870C2×#123—171no—
871C2×C22⋊Q8—171no—
872C2×C22⋊Q8—171no—
873C2×C22⋊Q8—171no—
874C2×C22⋊Q8—171no—
875C2×C22⋊Q8C2×D1711yescharacteristic
876C2×C22⋊Q8C2×D1711yescharacteristic
877C2×C22⋊Q8C2×D1711yescharacteristic, complemented
878C2×C22⋊Q8C2×D1711yescharacteristic, complemented
879C2×#121—171no—
880C2×#121—171no—
881C2×#121—171no—
882C2×#121—171no—
883C2×#120—171no—
884C2×#120—171no—
885C2×#120—171no—
886C2×C4×D4—171no—
887C2×C4×D4—171no—
888C2×C4×D4—171no—
889C2×C4×D4—171no—
890C2×C4×D4—171no—
891C2×#117—171no—
892C22×C4⋊C4—171no—
893#400—171no—
894#399—171no—
895#398—171no—
896#398—171no—
897#398—171no—
898#398—171no—
899#398—171no—
900#398—171no—
901#398—171no—
902#397—171no—
903#397—171no—
904#397—171no—
905#397—171no—
906#397—171no—
907#397—171no—
908#397—171no—
909#396—171no—
910#396—171no—
911#396—171no—
912#396—171no—
913#396—171no—
914#396—171no—
915#396C2×D1711yescharacteristic
916#396C2×D1711yescharacteristic
917#396C2×D1711yescharacteristic, complemented
918#396C2×D1711yescharacteristic, complemented
919#395—171no—
920#395C2×D1711yescharacteristic, complemented
921#395C2×D1711yescharacteristic, complemented
922#394—171no—
923#394—171no—
924#394—171no—
925#394—171no—
926#394—171no—
927#394—171no—
928#394—171no—
929#394—171no—
930#394—171no—
931#394—171no—
932#394—171no—
933#394—171no—
934#394—171no—
935#393—171no—
936#392—171no—
937#392—171no—
938#392—171no—
939#392—171no—
940#392—171no—
941#391—171no—
942#390—171no—
943#390—171no—
944#390—171no—
945#390—171no—
946#390—171no—
947#390—171no—
948#390—171no—
949#390C2×D1711yescharacteristic
950#389—171no—
951#389—171no—
952#389—171no—
953#389C2×D1711yescharacteristic, complemented
954#389C2×D1711yescharacteristic, complemented
955#388—171no—
956#388—171no—
957#388—171no—
958#388—171no—
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#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386C2×D1711yescharacteristic
980#386C2×D1711yescharacteristic
981#385—171no—
982#385—171no—
983#385—171no—
984#385—171no—
985#385—171no—
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#385—171no—
996#385—171no—
997#384—171no—
998#382—171no—
999#381—171no—
1000#381—171no—
1001#381—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#379—171no—
1007#379—171no—
1008#379—171no—
1009C4×C4⋊C4—171no—
1010#376—171no—
1011C2×C17—42no—
1012C2×C17—81no—
1013C2×C17#344911yescharacteristic
1014C2×C17#348411yescharacteristic
1015C2×C17#348911yescharacteristic
1016C2×C17#353311yescharacteristic
1017C2×C17#353511yescharacteristic
1018C2×C17#353911yescharacteristic
1019C2×C17#354111yescharacteristic
1020D17—42no—
1021D17—42no—
1022D17—42no—
1023D17—81no—
1024C25—171no—
1025C2×#41—344no—
1026C2×#41—682no—
1027C2×#41—682no—
1028C22×Q8C22×D1711yescharacteristic
1029C22×Q8C22×D1711yescharacteristic
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—171no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—171no—
1041C22×D4C22×D1711yescharacteristic
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—344no—
1052C23×C4—682no—
1053C23×C4—682no—
1054C23×C4C22×D1711yescharacteristic
1055C23×C4C22×D1711yescharacteristic
1056#126—344no—
1057#126—344no—
1058#125—344no—
1059#125—344no—
1060#123—344no—
1061#123—344no—
1062#123—344no—
1063#123—344no—
1064#123—344no—
1065#123—344no—
1066#123—682no—
1067#123—682no—
1068#123—682no—
1069C22⋊Q8—24no—
1070C22⋊Q8—24no—
1071C22⋊Q8—42no—
1072C22⋊Q8—42no—
1073C22⋊Q8—344no—
1074C22⋊Q8—344no—
1075C22⋊Q8—344no—
1076C22⋊Q8—682no—
1077#121—344no—
1078#121—344no—
1079#121—344no—
1080#121—682no—
1081#120—344no—
1082#120—344no—
1083#120—682no—
1084C4×D4—178no—
1085C4×D4—344no—
1086C4×D4—344no—
1087C4×D4—344no—
1088C4×D4—344no—
1089#117—344no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—171no—
1100C2×C4⋊C4—171no—
1101C2×C4⋊C4—171no—
1102C2×C4⋊C4—171no—
1103C2×C4⋊C4—171no—
1104C2×C4⋊C4—171no—
1105C2×C4⋊C4—171no—
1106C2×C4⋊C4—171no—
1107C2×C4⋊C4—171no—
1108C2×C4⋊C4—171no—
1109C2×C4⋊C4—171no—
1110C2×C4⋊C4—171no—
1111C2×C4⋊C4—171no—
1112C2×C4⋊C4—171no—
1113C2×C4⋊C4—171no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4—344no—
1116C2×C4⋊C4C22×D1711yescharacteristic
1117C2×C4⋊C4C22×D1711yescharacteristic
1118C2×C4⋊C4C22×D1711yescharacteristic
1119C2×C4⋊C4C22×D1711yescharacteristic
1120C2×C4⋊C4C22×D1711yescharacteristic
1121C2×C4⋊C4C22×D1711yescharacteristic
1122C2×C4⋊C4C22×D1711yescharacteristic
1123C2×C4⋊C4C22×D1711yescharacteristic
1124C2×C4⋊C4C22×D1711yescharacteristic
1125C2×C4⋊C4C22×D1711yescharacteristic
1126C2×C4⋊C4C22×D1711yescharacteristic
1127C2×C4⋊C4C22×D1711yescharacteristic
1128C2×C4⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
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⋊C4C22×D1711yescharacteristic
1172C2×C22⋊C4C22×D1711yescharacteristic
1173C2×C22⋊C4C22×D1711yescharacteristic
1174C2×C22⋊C4C22×D1711yescharacteristic
1175C2×C22⋊C4C22×D1711yescharacteristic
1176C2×C22⋊C4C22×D1711yescharacteristic
1177C2×C22⋊C4C22×D1711yescharacteristic
1178C2×C22⋊C4C22×D1711yescharacteristic
1179C2×C22⋊C4C22×D1711yescharacteristic
1180C2×C22⋊C4C22×D1711yescharacteristic
1181C2×C42—171no—
1182C2×C42—171no—
1183C2×C42—171no—
1184C2×C42—171no—
1185C2×C42—171no—
1186C2×C42—171no—
1187C2×C42C22×D1711yescharacteristic
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211#95—171no—
1212#95—171no—
1213#95—171no—
1214#95C22×D1711yescharacteristic
1215#95C22×D1711yescharacteristic
1216#95C22×D1711yescharacteristic
1217#95C22×D1711yescharacteristic
1218#95C22×D1711yescharacteristic
1219#95C22×D1711yescharacteristic
1220C17#3672311yescharacteristic, complemented, Sylow
1221C24—171no—
1222C24—171no—
1223C24—171no—
1224C24—171no—
1225C24—342no—
1226C24—342no—
1227C24—342no—
1228C24—681no—
1229C24—681no—
1230C24—681no—
1231C24—681no—
1232C24C23×D1711yescharacteristic
1233C24C23×D1711yescharacteristic
1234#41—6816no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—41no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—174no—
1245C2×D4—342no—
1246C2×D4—342no—
1247C2×D4—342no—
1248C2×D4—342no—
1249C2×D4—342no—
1250C2×D4—342no—
1251C2×D4—342no—
1252C2×D4—342no—
1253C2×D4—342no—
1254C2×D4—342no—
1255C2×D4—342no—
1256C2×D4—342no—
1257C2×D4—342no—
1258C2×D4—342no—
1259C2×D4—681no—
1260C2×D4—681no—
1261C2×D4—681no—
1262C2×D4—681no—
1263C2×D4—681no—
1264C2×D4—681no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C2×D4—681no—
1269C2×D4—681no—
1270C2×D4—681no—
1271C2×D4—681no—
1272C2×D4—681no—
1273C2×D4—681no—
1274C2×D4—681no—
1275C2×D4—681no—
1276C2×D4—681no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—174no—
1286C22×C4—174no—
1287C22×C4—171no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—342no—
1298C22×C4—342no—
1299C22×C4—342no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
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—6816no—
1321C22×C4—681no—
1322C22×C4—681no—
1323C22×C4C23×D1711yescharacteristic
1324C22×C4C23×D1711yescharacteristic
1325C22×C4C23×D1711yescharacteristic
1326C22×C4C23×D1711yescharacteristic
1327C22×C4C23×D1711yescharacteristic
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—342no—
1349C4⋊C4—342no—
1350C4⋊C4—342no—
1351C4⋊C4—342no—
1352C4⋊C4—342no—
1353C4⋊C4—342no—
1354C4⋊C4—342no—
1355C4⋊C4—342no—
1356C4⋊C4—342no—
1357C4⋊C4—342no—
1358C4⋊C4—342no—
1359C4⋊C4—342no—
1360C4⋊C4—342no—
1361C4⋊C4—342no—
1362C4⋊C4—342no—
1363C4⋊C4—681no—
1364C4⋊C4—681no—
1365C4⋊C4—681no—
1366C4⋊C4—681no—
1367C4⋊C4—681no—
1368C4⋊C4—681no—
1369C4⋊C4—681no—
1370C4⋊C4—681no—
1371C4⋊C4—681no—
1372C4⋊C4—681no—
1373C4⋊C4D4×D1714yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—174no—
1385C22⋊C4—174no—
1386C22⋊C4—342no—
1387C22⋊C4—342no—
1388C22⋊C4—342no—
1389C22⋊C4—342no—
1390C22⋊C4—342no—
1391C22⋊C4—342no—
1392C22⋊C4—342no—
1393C22⋊C4—342no—
1394C22⋊C4—342no—
1395C22⋊C4—342no—
1396C22⋊C4—342no—
1397C22⋊C4—342no—
1398C22⋊C4—342no—
1399C22⋊C4—342no—
1400C22⋊C4—342no—
1401C22⋊C4—342no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C22⋊C4—681no—
1408C22⋊C4—681no—
1409C22⋊C4—681no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4—681no—
1418C22⋊C4—681no—
1419C22⋊C4—681no—
1420C22⋊C4—681no—
1421C22⋊C4—681no—
1422C22⋊C4—681no—
1423C22⋊C4—681no—
1424C22⋊C4—681no—
1425C22⋊C4—681no—
1426C42—41no—
1427C42—174no—
1428C42—342no—
1429C42—342no—
1430C42—681no—
1431C42—681no—
1432C42—681no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—172no—
1447C23—172no—
1448C23—172no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—341no—
1469C23—341no—
1470C23—341no—
1471C23—341no—
1472C23—341no—
1473C23—341no—
1474C23—684no—
1475C23—684no—
1476C23—684no—
1477C23—684no—
1478C23—684no—
1479C23—684no—
1480C23—684no—
1481C23#1058769412yes—
1482C23C24×D1711yescharacteristic
1483Q8—44no—
1484Q8—82no—
1485D4—82no—
1486D4—684no—
1487D4—684no—
1488D4—684no—
1489D4—684no—
1490D4—684no—
1491D4—684no—
1492D4—684no—
1493D4—684no—
1494D4—1362no—
1495D4—1362no—
1496D4—1362no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—172no—
1535C2×C4—172no—
1536C2×C4—348no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—684no—
1572C2×C4—684no—
1573C2×C4—684no—
1574C2×C4—684no—
1575C2×C4—684no—
1576C2×C4—684no—
1577C2×C4—684no—
1578C2×C4—1362no—
1579C2×C4C2×D4×D1712yes—
1580C2×C4C2×D4×D1712yes—
1581C2×C4C2×D4×D1712yes—
1582C2×C4#1058769112yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—342no—
1598C22—342no—
1599C22—342no—
1600C22—342no—
1601C22—342no—
1602C22—342no—
1603C22—342no—
1604C22—342no—
1605C22—342no—
1606C22—6816no—
1607C22—681no—
1608C22—681no—
1609C22—681no—
1610C22—681no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—681no—
1617C22—681no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—681no—
1625C22—681no—
1626C22C22×D4×D1711yescharacteristic
1627C22H(5,𝔽2)×D1711yescharacteristic
1628C22C2×#1058769111yescharacteristic
1629C22C2×#1058769411yescharacteristic
1630C22#1176364411yescharacteristic
1631C22#1176364611yescharacteristic
1632C22#1176364611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—342no—
1647C4—342no—
1648C4—681no—
1649C4—681no—
1650C4—681no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C2—42no—
1659C2—81no—
1660C2—682no—
1661C2—682no—
1662C2—682no—
1663C2—1361no—
1664C2#1454211211yescharacteristic
1665C2#1454241211yescharacteristic
1666C2#1454246111yescharacteristic
1667C2#1454296011yescharacteristic
1668C2#1454299811yescharacteristic
1669C2#1454303711yescharacteristic
1670C2#1454308211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2683C2
hypercenter#2683D17
hypocenterC17#36723
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2683

Complements

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

NH ≅ G/Ntype
1. C2×#11763405C2semidirect
2. C2×#11763322C2semidirect
3. #14537075C2semidirect
4. #14537068C2semidirect
5. #14535485C2semidirect
6. #14535478C2semidirect
7. #14535438C2semidirect
8. #14535431C2semidirect
9. #14535392C2semidirect
10. #14535365C2semidirect
11. #14535342C2semidirect
12. #14535182C2semidirect
13. #14535144C2semidirect
14. #14535139C2semidirect
15. #14535139C2semidirect
16. #14535128C2semidirect
17. #14535123C2semidirect
18. #14535110C2semidirect
19. #14535106C2semidirect
20. #14534710C2semidirect
21. #14534632C2semidirect
22. #14534481C2semidirect
23. #14534407C2semidirect
24. #14534384C2semidirect
25. #14534368C2semidirect
26. #14534126C2semidirect
27. #14533979C2semidirect
28. #14532131C2semidirect
29. #14532120C2semidirect
30. #14531423C2semidirect
31. C17×#2683C2semidirect
36. C2×#10587565C22semidirect
37. C2×#10587575C22semidirect
38. C2×#10587575C22semidirect
44. C2×#10587580C22semidirect
48. C2×#10587569C22semidirect
52. C2×#10587632C22semidirect
62. C2×C4×C22⋊D17C22semidirect
66. C2×C4⋊C4×D17C22semidirect
67. #11762751C22semidirect
69. #11762742C22semidirect
70. #11762742C22semidirect
71. #11762742C22semidirect
72. #11762742C22semidirect
73. #11762742C22semidirect
74. #11762739C22semidirect
75. #11762739C22semidirect
77. #11762738C22semidirect
78. #11762737C22semidirect
80. #11762736C22semidirect
86. #11762731C22semidirect
87. #11762731C22semidirect
88. #11762731C22semidirect
89. #11762728C22semidirect
96. #11762726C22semidirect
100. #11762725C22semidirect
102. #11762724C22semidirect
103. #11762720C22semidirect
106. #11762718C22semidirect
109. #11762716C22semidirect
116. #11762709C22semidirect
117. #11762708C22semidirect
118. #11762708C22semidirect
119. #11762704C22semidirect
121. #11762702C22semidirect
122. #11762702C22semidirect
125. #11762701C22semidirect
127. #11762700C22semidirect
130. #11762699C22semidirect
132. #11762695C22semidirect
133. #11762694C22semidirect
134. #11762691C22semidirect
135. #11762691C22semidirect
138. #11762687C22semidirect
143. #11762685C22semidirect
147. #11762683C22semidirect
148. #11762683C22semidirect
150. #11762682C22semidirect
157. #11762680C22semidirect
158. #11762680C22semidirect
159. #11762680C22semidirect
160. #11762678C22semidirect
161. #11762673C22semidirect
164. #11762671C22semidirect
168. #11762666C22semidirect
172. C4⋊C4×Dic17C22semidirect
173. #11762655C22semidirect
176. C2×C17×C22⋊Q8C22semidirect
177. C2×C17×C22⋊Q8C22semidirect
180. C17×#396C22semidirect
181. C17×#396C22semidirect
182. C17×#395C22semidirect
183. C17×#395C22semidirect
185. C17×#389C22semidirect
186. C17×#389C22semidirect
339. #10587579D4semidirect
760. #2683D17semidirect
877. C2×C22⋊Q8C2×D17semidirect
878. C2×C22⋊Q8C2×D17semidirect
917. #396C2×D17semidirect
918. #396C2×D17semidirect
920. #395C2×D17semidirect
921. #395C2×D17semidirect
953. #389C2×D17semidirect
954. #389C2×D17semidirect
1220. C17#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#117634052
C2×#117633222
#145370752
#145370682
#145354852
#145354782
#145354382
#145354312
#145353922
#145353652
#145353422
#145351822
#145351442
#145351392
#145351282
#145351232
#145351102
#145351062
#145347102
#145346322
#145344812
#145344072
#145343842
#145343682
#145341262
#145339792
#145321312
#145321202
#145314232
C17×#26832
#3672317