Finite Group Databasebeta

← #17241376

Subgroups — #17241376

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×#11763318C211yesmaximal, characteristic, complemented
2#14537073C211yesmaximal, characteristic, complemented
3#14537068C211yesmaximal, characteristic, complemented
4#14535481C211yesmaximal, characteristic, complemented
5#14535466C211yesmaximal, characteristic, complemented
6#14535436C211yesmaximal, characteristic, complemented
7#14535421C211yesmaximal, characteristic, complemented
8#14535391C211yesmaximal, characteristic, complemented
9#14535352C211yesmaximal, characteristic, complemented
10#14535343C211yesmaximal, characteristic, complemented
11#14535169C211yesmaximal, characteristic, complemented
12#14535154C211yesmaximal, characteristic, complemented
13#14535145C211yesmaximal, characteristic, complemented
14#14535139C211yesmaximal, characteristic, complemented
15#14535132C211yesmaximal, characteristic, complemented
16#14535123C211yesmaximal, characteristic, complemented
17#14535121C211yesmaximal, characteristic, complemented
18#14535112C211yesmaximal, characteristic, complemented
19#14535103C211yesmaximal, characteristic, complemented
20#14534702C211yesmaximal, characteristic, complemented
21#14534623C211yesmaximal, characteristic, complemented
22#14534484C211yesmaximal, characteristic, complemented
23#14534413C211yesmaximal, characteristic, complemented
24#14534383C211yesmaximal, characteristic, complemented
25#14534366C211yesmaximal, characteristic, complemented
26#14534131C211yesmaximal, characteristic, complemented
27#14533985C211yesmaximal, characteristic, complemented
28#14532129C211yesmaximal, characteristic, complemented
29#14532119C211yesmaximal, characteristic, complemented
30#14531427C211yesmaximal, characteristic, complemented
31C2×C17×#539C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763318—28no—
35C2×#10587580C2211yescharacteristic
36C2×#10587615C2211yescharacteristic
37C2×#10587615C2211yescharacteristic, complemented
38C2×#10587569C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587610C2211yescharacteristic, complemented
41C2×#10587582C2211yescharacteristic
42C2×#10587564C2211yescharacteristic
43C2×#10587632C2211yescharacteristic
44C2×#10587632C2211yescharacteristic
45C2×#10587616C2211yescharacteristic
46C2×#10587570C2211yescharacteristic
47C2×#10587625C2211yescharacteristic
48C2×#10587568C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×#10587623C2211yescharacteristic
51C2×C4×D68C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic
54C2×#10587558C2211yescharacteristic
55#11762747C2211yescharacteristic, complemented
56#11762744C2211yescharacteristic
57#11762742C2211yescharacteristic, complemented
58#11762742C2211yescharacteristic, complemented
59#11762742C2211yescharacteristic, complemented
60#11762742C2211yescharacteristic, complemented
61#11762740C2211yescharacteristic, complemented
62#11762740C2211yescharacteristic, complemented
63#11762739C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic
65#11762737C2211yescharacteristic
66#11762737C2211yescharacteristic
67#11762737C2211yescharacteristic, complemented
68#11762735C2211yescharacteristic
69#11762735C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic
74#11762731C2211yescharacteristic
75#11762731C2211yescharacteristic
76#11762731C2211yescharacteristic
77#11762731C2211yescharacteristic
78#11762731C2211yescharacteristic, complemented
79#11762731C2211yescharacteristic, complemented
80#11762731C2211yescharacteristic, complemented
81#11762729C2211yescharacteristic, complemented
82#11762729C2211yescharacteristic, complemented
83#11762728C2211yescharacteristic, complemented
84#11762726C2211yescharacteristic
85#11762726C2211yescharacteristic
86#11762726C2211yescharacteristic
87#11762725C2211yescharacteristic
88#11762725C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic
90#11762724C2211yescharacteristic
91#11762724C2211yescharacteristic
92#11762724C2211yescharacteristic
93#11762724C2211yescharacteristic
94#11762724C2211yescharacteristic, complemented
95#11762723C2211yescharacteristic
96#11762723C2211yescharacteristic, complemented
97#11762720C2211yescharacteristic, complemented
98#11762718C2211yescharacteristic
99#11762717C2211yescharacteristic
100#11762717C2211yescharacteristic
101#11762717C2211yescharacteristic
102#11762717C2211yescharacteristic, complemented
103#11762715C2211yescharacteristic, complemented
104#11762712C2211yescharacteristic
105#11762712C2211yescharacteristic
106#11762711C2211yescharacteristic
107#11762710C2211yescharacteristic
108#11762710C2211yescharacteristic
109#11762709C2211yescharacteristic
110#11762709C2211yescharacteristic
111#11762709C2211yescharacteristic, complemented
112#11762708C2211yescharacteristic, complemented
113#11762708C2211yescharacteristic, complemented
114#11762704C2211yescharacteristic, complemented
115#11762704C2211yescharacteristic, complemented
116#11762704C2211yescharacteristic, complemented
117#11762703C2211yescharacteristic, complemented
118#11762702C2211yescharacteristic
119#11762702C2211yescharacteristic
120#11762702C2211yescharacteristic, complemented
121#11762702C2211yescharacteristic, complemented
122#11762700C2211yescharacteristic
123#11762699C2211yescharacteristic
124#11762699C2211yescharacteristic
125#11762699C2211yescharacteristic
126#11762699C2211yescharacteristic
127#11762699C2211yescharacteristic, complemented
128#11762697C2211yescharacteristic, complemented
129#11762693C2211yescharacteristic, complemented
130#11762690C2211yescharacteristic, complemented
131#11762690C2211yescharacteristic, complemented
132#11762690C2211yescharacteristic, complemented
133#11762688C2211yescharacteristic
134#11762688C2211yescharacteristic
135#11762688C2211yescharacteristic
136#11762688C2211yescharacteristic
137#11762688C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762682C2211yescharacteristic, complemented
144#11762682C2211yescharacteristic, complemented
145#11762682C2211yescharacteristic, complemented
146#11762681C2211yescharacteristic
147#11762681C2211yescharacteristic
148#11762680C2211yescharacteristic
149#11762680C2211yescharacteristic
150#11762680C2211yescharacteristic
151#11762680C2211yescharacteristic
152#11762680C2211yescharacteristic
153#11762680C2211yescharacteristic
154#11762680C2211yescharacteristic
155#11762680C2211yescharacteristic
156#11762680C2211yescharacteristic, complemented
157#11762680C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic, complemented
159#11762678C2211yescharacteristic, complemented
160#11762674C2211yescharacteristic, complemented
161#11762672C2211yescharacteristic
162#11762672C2211yescharacteristic, complemented
163#11762670C2211yescharacteristic
164#11762669C2211yescharacteristic
165#11762669C2211yescharacteristic, complemented
166#11762666C2211yescharacteristic
167#11762666C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic
171C4×C4⋊Dic17C2211yescharacteristic, complemented
172#11762655C2211yescharacteristic, complemented
173C17×#539—28no—
174C2×C17×#126C2211yescharacteristic
175C2×C17×#126C2211yescharacteristic, complemented
176C2×C17×#125C2211yescharacteristic, complemented
177C2×C17×#125C2211yescharacteristic, complemented
178C2×C17×#123C2211yescharacteristic
179C2×C17×#123C2211yescharacteristic
180C2×C17×#123C2211yescharacteristic
181C2×C17×#123C2211yescharacteristic, complemented
182C2×C17×C22⋊Q8C2211yescharacteristic
183C2×C17×C22⋊Q8C2211yescharacteristic, complemented
184C2×C17×C22⋊Q8C2211yescharacteristic, complemented
185C2×C17×#121C2211yescharacteristic
186C2×C4×D4×C17C2211yescharacteristic
187C2×C4×D4×C17C2211yescharacteristic, complemented
188C22×C4⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C2×#63252—24no—
208C2×#63252—42no—
209C2×#63252—42no—
210C22×D68C2311yescharacteristic
211C22×D68C2311yescharacteristic
212C22×C4×D17—24no—
213C22×C4×D17—42no—
214C22×C4×D17—42no—
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×Dic34C2311yescharacteristic
221C17×#126—24no—
222C17×#126—24no—
223C17×#125—24no—
224C17×#125—24no—
225C17×#123—24no—
226C17×#123—24no—
227C17×#123—24no—
228C17×#123—24no—
229C17×C22⋊Q8—24no—
230C17×C22⋊Q8—24no—
231C17×C22⋊Q8—24no—
232C17×#121—24no—
233C4×D4×C17—24no—
234C4×D4×C17D418yescomplemented
235C2×C4⋊C4×C17—24no—
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C4⋊C4×C17C2311yescharacteristic
249C2×C4⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258C2×C22⋊C4×C17C2311yescharacteristic
259C2×C22⋊C4×C17C2311yescharacteristic
260C2×C42×C17C2311yescharacteristic
261C2×C42×C17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277#10587632—42no—
278#10587632—42no—
279#10587625—24no—
280#10587623—24no—
281#10587623—42no—
282#10587621—42no—
283#10587616—42no—
284#10587615—42no—
285#10587615—42no—
286C4×C22⋊D17—24no—
287C4×C22⋊D17—24no—
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×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319C2×C4⋊Dic17C2311yescharacteristic
320C2×C4⋊Dic17C2311yescharacteristic
321C2×C4⋊Dic17C2311yescharacteristic
322#10587610—42no—
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342C2×C4×Dic17C2311yescharacteristic
343C2×C4×Dic17C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345#10587582—24no—
346#10587580—24no—
347#10587570—24no—
348#10587569—24no—
349#10587568—24no—
350#10587564—24no—
351C4×D68—24no—
352#10587558—24no—
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
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C23×D17—22no—
389C23×D17—22no—
390C23×D17—22no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17—41no—
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C23×D17C2411yescharacteristic
398C2×Q8×C17—22no—
399C2×Q8×C17—41no—
400C2×Q8×C17—41no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17C2×D414yes—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—41no—
414C22×C4×C17—41no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17C2×D414yes—
424C22×C4×C17C2×D414yes—
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
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C2×C22⋊D17—22no—
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—41no—
452C2×C22⋊D17—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C22×Dic17—22no—
459C22×Dic17—22no—
460C22×Dic17—41no—
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474#63252—416no—
475C2×D68—22no—
476C2×D68—22no—
477C2×D68—22no—
478C2×D68—22no—
479C2×D68—41no—
480C2×D68—41no—
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—416no—
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×Dic34—22no—
498C2×Dic34—22no—
499C2×Dic34—41no—
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—22no—
507C4⋊C4×C17—22no—
508C4⋊C4×C17—22no—
509C4⋊C4×C17—22no—
510C4⋊C4×C17—22no—
511C4⋊C4×C17—22no—
512C4⋊C4×C17—22no—
513C4⋊C4×C17C2×D414yes—
514C22⋊C4×C17—22no—
515C22⋊C4×C17—22no—
516C22⋊C4×C17—22no—
517C22⋊C4×C17—22no—
518C22⋊C4×C17—22no—
519C22⋊C4×C17—22no—
520C22⋊C4×C17—22no—
521C22⋊C4×C17—22no—
522C22⋊C4×C17C2×D414yes—
523C22⋊C4×C17C2×D414yes—
524C42×C17—22no—
525C42×C17C2×D414yes—
526C22⋊Dic17—22no—
527C22⋊Dic17—22no—
528C22⋊Dic17—22no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533C22⋊Dic17—41no—
534C22⋊Dic17—41no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537C22⋊Dic17—41no—
538C22⋊Dic17—41no—
539C22⋊Dic17—41no—
540C22⋊Dic17—41no—
541#63227—22no—
542#63227—22no—
543#63227—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
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#63227—41no—
565#63227—41no—
566#63227—41no—
567#63227—41no—
568C4⋊Dic17—22no—
569C4⋊Dic17—41no—
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—41no—
583#63225—41no—
584#63225—41no—
585#63225—41no—
586#63225—41no—
587#63225—41no—
588#63225—41no—
589#63225—41no—
590#63225—41no—
591#63225—41no—
592C4×Dic17—22no—
593C4×Dic17—41no—
594C4×Dic17—41no—
595C4×Dic17—41no—
596C4×Dic17—41no—
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×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17C22×D412yes—
618C23×C17C22×D412yes—
619C23×C17C2511yescharacteristic
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—21no—
639C22×D17—44no—
640C22×D17—44no—
641C22×D17—44no—
642C22×D17—44no—
643C22×D17—44no—
644C22×D17—44no—
645C22×D17—44no—
646C22×D17H(5,𝔽2)12yes—
647C22×D172−1+412yes—
648Q8×C17—82no—
649D4×C17—44no—
650D4×C17—44no—
651D4×C17—82no—
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—44no—
684C2×C4×C17—44no—
685C2×C4×C17—44no—
686C2×C4×C17—82no—
687C2×C4×C17—82no—
688C2×C4×C17C22×D412yes—
689C2×C4×C17C22×D412yes—
690C2×C4×C17C22×D412yes—
691C2×C4×C17C22×D412yes—
692C2×C4×C17C22×D412yes—
693C22⋊D17—44no—
694C22⋊D17—44no—
695C22⋊D17—44no—
696C22⋊D17—44no—
697C22⋊D17—82no—
698C22⋊D17—82no—
699C22⋊D17—82no—
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—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—44no—
739C2×Dic17H(5,𝔽2)12yes—
740D68—44no—
741D68—44no—
742C4×D17—28no—
743C4×D17—44no—
744C4×D17—44no—
745C4×D17—44no—
746C4×D17—44no—
747Dic34—44no—
748C2×#539D1711yescharacteristic, complemented
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#2683—171no—
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—22no—
783C22×C17—22no—
784C22×C17—22no—
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×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17C23×D411yescharacteristic
801C22×C17C2×H(5,𝔽2)11yescharacteristic
802C22×C17C2×H(5,𝔽2)11yescharacteristic
803C22×C17C2×2−1+411yescharacteristic
804C22×C17#58511yescharacteristic
805C22×C17#58511yescharacteristic
806C22×C17#58511yescharacteristic
807C2×D17—22no—
808C2×D17—22no—
809C2×D17—22no—
810C2×D17—22no—
811C2×D17—22no—
812C2×D17—22no—
813C2×D17—416no—
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—22no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841Dic17—22no—
842Dic17—41no—
843Dic17—41no—
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—28no—
857C2×#126C2×D1711yescharacteristic
858C2×#126C2×D1711yescharacteristic, complemented
859C2×#125C2×D1711yescharacteristic, complemented
860C2×#125C2×D1711yescharacteristic, complemented
861#525—348no—
862C2×#123—171no—
863C2×#123—171no—
864C2×#123—171no—
865C2×#123—171no—
866C2×#123—171no—
867C2×#123C2×D1711yescharacteristic
868C2×#123C2×D1711yescharacteristic
869C2×#123C2×D1711yescharacteristic
870C2×#123C2×D1711yescharacteristic, complemented
871C2×C22⋊Q8—171no—
872C2×C22⋊Q8—171no—
873C2×C22⋊Q8—171no—
874C2×C22⋊Q8—171no—
875C2×C22⋊Q8—171no—
876C2×C22⋊Q8C2×D1711yescharacteristic
877C2×C22⋊Q8C2×D1711yescharacteristic, complemented
878C2×C22⋊Q8C2×D1711yescharacteristic, complemented
879C2×#121—171no—
880C2×#121—171no—
881C2×#121—171no—
882C2×#121C2×D1711yescharacteristic
883C2×#120—171no—
884C2×#120—171no—
885C2×#120—171no—
886C2×C4×D4—171no—
887C2×C4×D4—171no—
888C2×C4×D4—171no—
889C2×C4×D4C2×D1711yescharacteristic
890C2×C4×D4C2×D1711yescharacteristic, complemented
891C2×#117—171no—
892C22×C4⋊C4C2×D1711yescharacteristic, complemented
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#396—171no—
916#396—171no—
917#396—171no—
918#396—171no—
919#395—171no—
920#395—171no—
921#395—171no—
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#390—171no—
950#389—171no—
951#389—171no—
952#389—171no—
953#389—171no—
954#389—171no—
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#386—171no—
980#386—171no—
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—42no—
1013C2×C17—81no—
1014C2×C17#344911yescharacteristic
1015C2×C17#348411yescharacteristic
1016C2×C17#348911yescharacteristic
1017C2×C17#353311yescharacteristic
1018C2×C17#353511yescharacteristic
1019C2×C17#353911yescharacteristic
1020C2×C17#354111yescharacteristic
1021D17—42no—
1022D17—42no—
1023D17—81no—
1024C25—171no—
1025C2×#41—344no—
1026C2×#41—682no—
1027C2×#41—682no—
1028C22×Q8—171no—
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×D4C22×D1711yescharacteristic
1040C22×D4C22×D1711yescharacteristic
1041C22×D4C22×D1711yescharacteristic
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—344no—
1049C23×C4—682no—
1050C23×C4—682no—
1051C23×C4C22×D1711yescharacteristic
1052C23×C4C22×D1711yescharacteristic
1053C23×C4C22×D1711yescharacteristic
1054C23×C4C22×D1711yescharacteristic
1055C23×C4C22×D1711yescharacteristic
1056#126—24no—
1057#126—24no—
1058#125—24no—
1059#125—24no—
1060#123—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064#123—344no—
1065#123—344no—
1066#123—682no—
1067#123—682no—
1068#123—682no—
1069C22⋊Q8—24no—
1070C22⋊Q8—24no—
1071C22⋊Q8—24no—
1072C22⋊Q8—344no—
1073C22⋊Q8—344no—
1074C22⋊Q8—682no—
1075C22⋊Q8—682no—
1076C22⋊Q8—682no—
1077#121—24no—
1078#121—344no—
1079#121—344no—
1080#121—682no—
1081#120—344no—
1082#120—344no—
1083#120—682no—
1084C4×D4—24no—
1085C4×D4—344no—
1086C4×D4—344no—
1087C4×D4—344no—
1088C4×D4C22⋊D1718yescomplemented
1089#117—344no—
1090C2×C4⋊C4—24no—
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⋊C4C22×D1711yescharacteristic
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×C42C22×D1711yescharacteristic
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#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220C17#3672311yescharacteristic, complemented, Sylow
1221C24—171no—
1222C24—171no—
1223C24—171no—
1224C24—342no—
1225C24—342no—
1226C24—342no—
1227C24—681no—
1228C24—681no—
1229C24—681no—
1230C24—681no—
1231C24C23×D1711yescharacteristic
1232C24C23×D1711yescharacteristic
1233C24C23×D1711yescharacteristic
1234#41—6816no—
1235C2×Q8—22no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×Q8—342no—
1239C2×Q8—342no—
1240C2×Q8—681no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
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—342no—
1260C2×D4—342no—
1261C2×D4—342no—
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×D4C2×C22⋊D1714yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—171no—
1298C22×C4—171no—
1299C22×C4—171no—
1300C22×C4—171no—
1301C22×C4—171no—
1302C22×C4—171no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—342no—
1311C22×C4—342no—
1312C22×C4—342no—
1313C22×C4—342no—
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×C4C2×C22⋊D1714yes—
1323C22×C4C2×C22⋊D1714yes—
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—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
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—681no—
1358C4⋊C4—681no—
1359C4⋊C4—681no—
1360C4⋊C4—681no—
1361C4⋊C4—681no—
1362C4⋊C4—681no—
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⋊C4C2×C22⋊D1714yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
1384C22⋊C4—342no—
1385C22⋊C4—342no—
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—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
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⋊C4C2×C22⋊D1714yes—
1425C22⋊C4C2×C22⋊D1714yes—
1426C42—22no—
1427C42—342no—
1428C42—681no—
1429C42—681no—
1430C42—681no—
1431C42—681no—
1432C42C2×C22⋊D1714yes—
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—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—172no—
1453C23—172no—
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—684no—
1474C23—684no—
1475C23—684no—
1476C23—684no—
1477C23—684no—
1478C23—684no—
1479C23—684no—
1480C23C22×C22⋊D1712yes—
1481C23C22×C22⋊D1712yes—
1482C23C24×D1711yescharacteristic
1483Q8—82no—
1484Q8—684no—
1485D4—44no—
1486D4—44no—
1487D4—82no—
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—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4—82no—
1533C2×C4—172no—
1534C2×C4—348no—
1535C2×C4—341no—
1536C2×C4—341no—
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—341no—
1572C2×C4—341no—
1573C2×C4—684no—
1574C2×C4—684no—
1575C2×C4—684no—
1576C2×C4—684no—
1577C2×C4—684no—
1578C2×C4C22×C22⋊D1712yes—
1579C2×C4C22×C22⋊D1712yes—
1580C2×C4C22×C22⋊D1712yes—
1581C2×C4C22×C22⋊D1712yes—
1582C2×C4C22×C22⋊D1712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—342no—
1605C22—342no—
1606C22—342no—
1607C22—342no—
1608C22—342no—
1609C22—342no—
1610C22—6816no—
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—
1626C22C23×C22⋊D1711yescharacteristic
1627C22H(5,𝔽2)×D1711yescharacteristic
1628C22H(5,𝔽2)×D1711yescharacteristic
1629C222−1+4×D1711yescharacteristic
1630C22#1176364511yescharacteristic
1631C22#1176364511yescharacteristic
1632C22#1176364611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—342no—
1646C4—681no—
1647C4—681no—
1648C4—681no—
1649C4—681no—
1650C4—681no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—682no—
1662C2—682no—
1663C2—1361no—
1664C2#1454211311yescharacteristic
1665C2#1454241511yescharacteristic
1666C2#1454245711yescharacteristic
1667C2#1454295911yescharacteristic
1668C2#1454299211yescharacteristic
1669C2#1454304211yescharacteristic
1670C2#1454307611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC2×C17×#539C2
hypercenterC2×#539D17
hypocenterC17#36723
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×#11763318C2semidirect
2. #14537073C2semidirect
3. #14537068C2semidirect
4. #14535481C2semidirect
5. #14535466C2semidirect
6. #14535436C2semidirect
7. #14535421C2semidirect
8. #14535391C2semidirect
9. #14535352C2semidirect
10. #14535343C2semidirect
11. #14535169C2semidirect
12. #14535154C2semidirect
13. #14535145C2semidirect
14. #14535139C2semidirect
15. #14535132C2semidirect
16. #14535123C2semidirect
17. #14535121C2semidirect
18. #14535112C2semidirect
19. #14535103C2semidirect
20. #14534702C2semidirect
21. #14534623C2semidirect
22. #14534484C2semidirect
23. #14534413C2semidirect
24. #14534383C2semidirect
25. #14534366C2semidirect
26. #14534131C2semidirect
27. #14533985C2semidirect
28. #14532129C2semidirect
29. #14532119C2semidirect
30. #14531427C2semidirect
31. C2×C17×#539C2semidirect
37. C2×#10587615C22semidirect
40. C2×#10587610C22semidirect
55. #11762747C22semidirect
57. #11762742C22semidirect
58. #11762742C22semidirect
59. #11762742C22semidirect
60. #11762742C22semidirect
61. #11762740C22semidirect
62. #11762740C22semidirect
63. #11762739C22semidirect
67. #11762737C22semidirect
69. #11762735C22semidirect
70. #11762734C22semidirect
71. #11762732C22semidirect
72. #11762732C22semidirect
78. #11762731C22semidirect
79. #11762731C22semidirect
80. #11762731C22semidirect
81. #11762729C22semidirect
82. #11762729C22semidirect
83. #11762728C22semidirect
88. #11762725C22semidirect
94. #11762724C22semidirect
96. #11762723C22semidirect
97. #11762720C22semidirect
102. #11762717C22semidirect
103. #11762715C22semidirect
111. #11762709C22semidirect
112. #11762708C22semidirect
113. #11762708C22semidirect
114. #11762704C22semidirect
115. #11762704C22semidirect
116. #11762704C22semidirect
117. #11762703C22semidirect
120. #11762702C22semidirect
121. #11762702C22semidirect
127. #11762699C22semidirect
128. #11762697C22semidirect
129. #11762693C22semidirect
130. #11762690C22semidirect
131. #11762690C22semidirect
132. #11762690C22semidirect
137. #11762688C22semidirect
142. #11762685C22semidirect
143. #11762682C22semidirect
144. #11762682C22semidirect
145. #11762682C22semidirect
156. #11762680C22semidirect
157. #11762680C22semidirect
158. #11762680C22semidirect
159. #11762678C22semidirect
160. #11762674C22semidirect
162. #11762672C22semidirect
165. #11762669C22semidirect
171. C4×C4⋊Dic17C22semidirect
172. #11762655C22semidirect
175. C2×C17×#126C22semidirect
176. C2×C17×#125C22semidirect
177. C2×C17×#125C22semidirect
181. C2×C17×#123C22semidirect
183. C2×C17×C22⋊Q8C22semidirect
184. C2×C17×C22⋊Q8C22semidirect
187. C2×C4×D4×C17C22semidirect
188. C22×C4⋊C4×C17C22semidirect
234. C4×D4×C17D4semidirect
748. C2×#539D17semidirect
858. C2×#126C2×D17semidirect
859. C2×#125C2×D17semidirect
860. C2×#125C2×D17semidirect
870. C2×#123C2×D17semidirect
877. C2×C22⋊Q8C2×D17semidirect
878. C2×C22⋊Q8C2×D17semidirect
890. C2×C4×D4C2×D17semidirect
892. C22×C4⋊C4C2×D17semidirect
1088. C4×D4C22⋊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×#117633182
#145370732
#145370682
#145354812
#145354662
#145354362
#145354212
#145353912
#145353522
#145353432
#145351692
#145351542
#145351452
#145351392
#145351322
#145351232
#145351212
#145351122
#145351032
#145347022
#145346232
#145344842
#145344132
#145343832
#145343662
#145341312
#145339852
#145321292
#145321192
#145314272
C2×C17×#5392
#3672317