Finite Group Databasebeta

← #17241203

Subgroups — #17241203

Order 4352.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763429C211yesmaximal, characteristic, complemented
2C2×#11763320C211yesmaximal, characteristic, complemented
3#14537076C211yesmaximal, characteristic, complemented
4#14535334C211yesmaximal, characteristic, complemented
5#14535319C211yesmaximal, characteristic, complemented
6#14535280C211yesmaximal, characteristic, complemented
7#14535265C211yesmaximal, characteristic, complemented
8#14535239C211yesmaximal, characteristic, complemented
9#14535194C211yesmaximal, characteristic, complemented
10#14535179C211yesmaximal, characteristic, complemented
11#14535164C211yesmaximal, characteristic, complemented
12#14535095C211yesmaximal, characteristic, complemented
13#14535081C211yesmaximal, characteristic, complemented
14#14535069C211yesmaximal, characteristic, complemented
15#14535061C211yesmaximal, characteristic, complemented
16#14535031C211yesmaximal, characteristic, complemented
17#14535024C211yesmaximal, characteristic, complemented
18#14535010C211yesmaximal, characteristic, complemented
19#14534992C211yesmaximal, characteristic, complemented
20#14534702C211yesmaximal, characteristic, complemented
21#14534625C211yesmaximal, characteristic, complemented
22#14534460C211yesmaximal, characteristic, complemented
23#14534400C211yesmaximal, characteristic, complemented
24#14534357C211yesmaximal, characteristic, complemented
25#14534349C211yesmaximal, characteristic, complemented
26#14534141C211yesmaximal, characteristic, complemented
27#14533969C211yesmaximal, characteristic, complemented
28#14532410C211yesmaximal, characteristic, complemented
29#14532393C211yesmaximal, characteristic, complemented
30#14531419C211yesmaximal, characteristic, complemented
31C17×#2848C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33#11763429—28no—
34C2×#10587574C2211yescharacteristic, complemented
35C2×#10587630C2211yescharacteristic, complemented
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587565C2211yescharacteristic
38C2×#10587633C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic
40C2×#10587571C2211yescharacteristic
41C2×#10587571C2211yescharacteristic
42#11763320—28no—
43C2×#10587580C2211yescharacteristic, complemented
44C2×#10587615C2211yescharacteristic
45C2×#10587615C2211yescharacteristic
46C2×#10587615C2211yescharacteristic
47C2×#10587615C2211yescharacteristic
48C2×#10587610C2211yescharacteristic
49C2×#10587610C2211yescharacteristic
50C2×#10587582C2211yescharacteristic, complemented
51C2×#10587582C2211yescharacteristic, complemented
52C2×#10587581C2211yescharacteristic, complemented
53C2×#10587616C2211yescharacteristic
54C2×#10587616C2211yescharacteristic
55C2×#10587570C2211yescharacteristic
56C2×#10587570C2211yescharacteristic
57C2×#10587639C2211yescharacteristic
58C2×#10587639C2211yescharacteristic
59C2×#10587639C2211yescharacteristic
60C2×#10587573C2211yescharacteristic, complemented
61C2×C4×C22⋊D17C2211yescharacteristic
62C2×C4×C22⋊D17C2211yescharacteristic
63C2×C4×C22⋊D17C2211yescharacteristic
64C2×C4×C22⋊D17C2211yescharacteristic
65C2×#10587612C2211yescharacteristic
66C2×#10587578C2211yescharacteristic, complemented
67#11762751C2211yescharacteristic, complemented
68#11762750C2211yescharacteristic, complemented
69#11762745C2211yescharacteristic
70#11762745C2211yescharacteristic
71#11762744C2211yescharacteristic, complemented
72#11762744C2211yescharacteristic, complemented
73#11762742C2211yescharacteristic, complemented
74#11762741C2211yescharacteristic, complemented
75#11762740C2211yescharacteristic, complemented
76#11762739C2211yescharacteristic, complemented
77#11762738C2211yescharacteristic, complemented
78#11762737C2211yescharacteristic
79#11762737C2211yescharacteristic
80#11762737C2211yescharacteristic
81#11762735C2211yescharacteristic, complemented
82#11762734C2211yescharacteristic
83#11762732C2211yescharacteristic
84#11762731C2211yescharacteristic, complemented
85#11762731C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic, complemented
87#11762730C2211yescharacteristic, complemented
88#11762729C2211yescharacteristic, complemented
89#11762729C2211yescharacteristic, complemented
90#11762728C2211yescharacteristic, complemented
91#11762727C2211yescharacteristic, complemented
92#11762726C2211yescharacteristic, complemented
93#11762726C2211yescharacteristic, complemented
94#11762726C2211yescharacteristic, complemented
95#11762725C2211yescharacteristic
96#11762725C2211yescharacteristic
97#11762725C2211yescharacteristic
98#11762725C2211yescharacteristic
99#11762725C2211yescharacteristic
100#11762724C2211yescharacteristic
101#11762724C2211yescharacteristic
102#11762724C2211yescharacteristic
103#11762724C2211yescharacteristic
104#11762724C2211yescharacteristic
105#11762722C2211yescharacteristic, complemented
106#11762722C2211yescharacteristic, complemented
107#11762721C2211yescharacteristic
108#11762721C2211yescharacteristic
109#11762721C2211yescharacteristic
110#11762720C2211yescharacteristic, complemented
111#11762718C2211yescharacteristic
112#11762718C2211yescharacteristic
113#11762718C2211yescharacteristic
114#11762718C2211yescharacteristic
115#11762713C2211yescharacteristic, complemented
116#11762709C2211yescharacteristic
117#11762709C2211yescharacteristic
118#11762709C2211yescharacteristic
119#11762709C2211yescharacteristic
120#11762706C2211yescharacteristic, complemented
121#11762705C2211yescharacteristic, complemented
122#11762704C2211yescharacteristic, complemented
123#11762703C2211yescharacteristic
124#11762703C2211yescharacteristic
125#11762703C2211yescharacteristic
126#11762703C2211yescharacteristic
127#11762702C2211yescharacteristic
128#11762702C2211yescharacteristic
129#11762701C2211yescharacteristic, complemented
130#11762699C2211yescharacteristic, complemented
131#11762698C2211yescharacteristic, complemented
132#11762697C2211yescharacteristic
133#11762696C2211yescharacteristic, complemented
134#11762695C2211yescharacteristic, complemented
135#11762695C2211yescharacteristic, complemented
136#11762694C2211yescharacteristic, complemented
137#11762690C2211yescharacteristic, complemented
138#11762690C2211yescharacteristic, complemented
139#11762690C2211yescharacteristic, complemented
140#11762690C2211yescharacteristic, complemented
141#11762688C2211yescharacteristic
142#11762688C2211yescharacteristic
143#11762688C2211yescharacteristic
144#11762688C2211yescharacteristic
145#11762687C2211yescharacteristic, complemented
146#11762687C2211yescharacteristic, complemented
147#11762687C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic
149#11762685C2211yescharacteristic
150#11762685C2211yescharacteristic
151#11762685C2211yescharacteristic
152#11762685C2211yescharacteristic
153#11762685C2211yescharacteristic
154#11762685C2211yescharacteristic
155#11762683C2211yescharacteristic, complemented
156#11762683C2211yescharacteristic, complemented
157#11762682C2211yescharacteristic
158#11762682C2211yescharacteristic
159#11762682C2211yescharacteristic
160#11762682C2211yescharacteristic
161#11762680C2211yescharacteristic, complemented
162#11762680C2211yescharacteristic, complemented
163#11762680C2211yescharacteristic, complemented
164#11762680C2211yescharacteristic, complemented
165#11762676C2211yescharacteristic, complemented
166#11762673C2211yescharacteristic, complemented
167#11762672C2211yescharacteristic
168#11762672C2211yescharacteristic
169#11762668C2211yescharacteristic, complemented
170#11762666C2211yescharacteristic, complemented
171#11762665C2211yescharacteristic
172#11762656C2211yescharacteristic, complemented
173#95×D17C2211yescharacteristic, complemented
174C24×C4×C17C2211yescharacteristic
175C2×C17×C22⋊Q8C2211yescharacteristic
176C2×C17×C22⋊Q8C2211yescharacteristic
177C2×C17×C22⋊Q8C2211yescharacteristic
178C17×#385C2211yescharacteristic
179C17×#385C2211yescharacteristic
180C17×#385C2211yescharacteristic
181C17×#385C2211yescharacteristic
182C17×#385C2211yescharacteristic
183C17×#385C2211yescharacteristic
184C17×#380C2211yescharacteristic
185C17×#380C2211yescharacteristic
186C17×#380C2211yescharacteristic
187C17×#379C2211yescharacteristic
188C17×#379C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C23×C4×C17—24no—
192C23×C4×C17—42no—
193C23×C4×C17—42no—
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C2×#63252—24no—
210C2×#63252—42no—
211C2×#63252—42no—
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×D68C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×Dic34C2311yescharacteristic
221C22×Dic34C2311yescharacteristic
222C22×Dic34C2311yescharacteristic
223C17×C22⋊Q8—24no—
224C17×C22⋊Q8—42no—
225C17×C22⋊Q8—42no—
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×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊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
247#10587639—24no—
248#10587639—24no—
249#10587639—42no—
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265#10587633—24no—
266#10587630—24no—
267#10587616—24no—
268#10587616—24no—
269#10587615—24no—
270#10587615—24no—
271#10587615—24no—
272#10587615—42no—
273C4×C22⋊D17—24no—
274C4×C22⋊D17—24no—
275C4×C22⋊D17—24no—
276C4×C22⋊D17D418yescomplemented
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×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302#10587612—24no—
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309#10587610—24no—
310#10587610—24no—
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×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335#10587584—24no—
336#10587582—24no—
337#10587582—24no—
338#10587581—42no—
339#10587580—24no—
340#10587578—24no—
341#10587574—42no—
342#10587573—24no—
343#10587571—24no—
344#10587571—24no—
345#10587571—42no—
346#10587570—24no—
347#10587570—42no—
348#10587565—24no—
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
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×C17—22no—
386C24×C17—22no—
387C24×C17—22no—
388C24×C17—41no—
389C24×C17—41no—
390C24×C17—41no—
391C24×C17—41no—
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C24×C17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C23×D17C2411yescharacteristic
398C2×Q8×C17—22no—
399C2×Q8×C17—41no—
400C2×Q8×C17—41no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—41no—
412C22×C4×C17—41no—
413C22×C4×C17—41no—
414C22×C4×C17—41no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—416no—
419C22×C4×C17C2×D414yes—
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
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—22no—
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—41no—
445C2×C22⋊D17—41no—
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—
458C2×C22⋊D17C2×D414yes—
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472#63252—416no—
473C2×D68—22no—
474C2×D68—22no—
475C2×D68—22no—
476C2×D68—41no—
477C2×D68—41no—
478C2×D68—41no—
479C2×D68—41no—
480C2×D68—41no—
481C2×D68—41no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×C4×D17—41no—
495C2×C4×D17—41no—
496C2×C4×D17C2×D414yes—
497C2×Dic34—22no—
498C2×Dic34—22no—
499C2×Dic34—22no—
500C2×Dic34—22no—
501C2×Dic34—41no—
502C2×Dic34—41no—
503C2×Dic34—41no—
504C2×Dic34—41no—
505C2×Dic34—41no—
506C4⋊C4×C17—22no—
507C4⋊C4×C17—22no—
508C4⋊C4×C17—22no—
509C4⋊C4×C17—22no—
510C4⋊C4×C17—22no—
511C4⋊C4×C17—41no—
512C4⋊C4×C17—41no—
513C4⋊C4×C17—41no—
514C4⋊C4×C17—41no—
515C22⋊C4×C17—22no—
516C22⋊C4×C17—22no—
517C22⋊C4×C17—22no—
518C22⋊C4×C17—22no—
519C22⋊C4×C17—41no—
520C22⋊C4×C17—41no—
521C22⋊C4×C17—41no—
522C22⋊C4×C17—41no—
523C22⋊C4×C17—41no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17—41no—
526C22⋊C4×C17—41no—
527C22⋊Dic17—22no—
528C22⋊Dic17—22no—
529C22⋊Dic17—22no—
530C22⋊Dic17—22no—
531C22⋊Dic17—22no—
532C22⋊Dic17—22no—
533C22⋊Dic17—22no—
534C22⋊Dic17—22no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537C22⋊Dic17—41no—
538C22⋊Dic17—41no—
539C22⋊Dic17—41no—
540C22⋊Dic17—41no—
541C22⋊Dic17C2×D414yes—
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—22no—
552#63227—22no—
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#63227C2×D414yes—
567C4⋊Dic17—22no—
568C4⋊Dic17—22no—
569C4⋊Dic17—22no—
570C4⋊Dic17—41no—
571C4⋊Dic17—41no—
572C4⋊Dic17—41no—
573#63225—22no—
574#63225—22no—
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#63225C2×D414yes—
590C4×Dic17—22no—
591C4×Dic17—22no—
592C4×Dic17—22no—
593C4×Dic17—22no—
594C4×Dic17—41no—
595C4×Dic17—41no—
596C4×Dic17C2×D414yes—
597#36712—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—44no—
617C23×C17—44no—
618C23×C17—44no—
619C23×C17—44no—
620C23×C17—44no—
621C23×C17—44no—
622C23×C17—44no—
623C23×C17C22×D412yes—
624C23×C17H(5,𝔽2)12yes—
625C23×C172−1+412yes—
626C23×C17C2511yescharacteristic
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—21no—
646C22×D17—21no—
647C22×D17C22×D412yes—
648Q8×C17—82no—
649C2×C4×C17—28no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—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—44no—
687C2×C4×C17—44no—
688C2×C4×C17C22×D412yes—
689C2×C4×C17C22×D412yes—
690C2×C4×C17H(5,𝔽2)12yes—
691C22⋊D17—44no—
692C22⋊D17—44no—
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×Dic17C22×D412yes—
737C2×Dic17C22×D412yes—
738C2×Dic17C22×D412yes—
739D68—44no—
740D68—82no—
741D68—82no—
742C4×D17—44no—
743C4×D17—44no—
744C4×D17—44no—
745C4×D17—82no—
746C4×D17—82no—
747Dic34—44no—
748Dic34—44no—
749Dic34—82no—
750C2×#542—171no—
751C2×#525—171no—
752#2849—171no—
753#2848D1711yescharacteristic, complemented
754#2696—171no—
755#2695—171no—
756#2692—171no—
757#2691—171no—
758#2689—171no—
759#2686—171no—
760#2685—171no—
761#2684—171no—
762#2677—171no—
763#2676—171no—
764#2674—171no—
765#2674—171no—
766#2672—171no—
767#2671—171no—
768#2670—171no—
769#2668—171no—
770#2638—171no—
771#2630—171no—
772#2609—171no—
773#2602—171no—
774#2599—171no—
775#2598—171no—
776#2580—171no—
777#2564—171no—
778#2432—171no—
779#2430—171no—
780#2318—171no—
781C22×C17—22no—
782C22×C17—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—22no—
786C22×C17—22no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—416no—
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×C17—41no—
801C22×C17—41no—
802C22×C17—41no—
803C22×C17C23×D411yescharacteristic
804C22×C17C2×H(5,𝔽2)11yescharacteristic
805C22×C17C2×H(5,𝔽2)11yescharacteristic
806C22×C17C2×2−1+411yescharacteristic
807C22×C17#58511yescharacteristic
808C22×C17#58511yescharacteristic
809C22×C17#58511yescharacteristic
810C2×D17—22no—
811C2×D17—22no—
812C2×D17—22no—
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—
829C2×D17—41no—
830C2×D17—41no—
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—
841C4×C17—41no—
842C4×C17—41no—
843Dic17—22no—
844Dic17—22no—
845Dic17—22no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856C22×#41—171no—
857C24×C4C2×D1711yescharacteristic
858#542—348no—
859C2×C4⋊Q8—171no—
860C2×C4⋊Q8—171no—
861C2×#126—171no—
862C2×#126—171no—
863C2×#124—171no—
864C2×#124—171no—
865C2×#124—171no—
866C2×#124—171no—
867#525—348no—
868C2×#123—171no—
869C2×#123—171no—
870C2×#123—171no—
871C2×#123—171no—
872C2×#123—171no—
873C2×C22⋊Q8—171no—
874C2×C22⋊Q8—171no—
875C2×C22⋊Q8—171no—
876C2×C22⋊Q8—171no—
877C2×C22⋊Q8C2×D1711yescharacteristic
878C2×C22⋊Q8C2×D1711yescharacteristic
879C2×C22⋊Q8C2×D1711yescharacteristic
880C2×#121—171no—
881C2×#121—171no—
882C2×#121—171no—
883C2×#121—171no—
884C2×#121—171no—
885C2×#120—171no—
886C2×#120—171no—
887C2×#120—171no—
888C2×C4×Q8—171no—
889C2×C4×D4—171no—
890C2×C4×D4—171no—
891C2×C4×D4—171no—
892C2×C4×D4—171no—
893C2×#117—171no—
894C2×#117—171no—
895#400—171no—
896#400—171no—
897#399—171no—
898#399—171no—
899#399—171no—
900#399—171no—
901#398—171no—
902#398—171no—
903#398—171no—
904#398—171no—
905#397—171no—
906#397—171no—
907#397—171no—
908#397—171no—
909#397—171no—
910#397—171no—
911#396—171no—
912#396—171no—
913#396—171no—
914#396—171no—
915#395—171no—
916#395—171no—
917#395—171no—
918#395—171no—
919#394—171no—
920#394—171no—
921#394—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#393—171no—
934#393—171no—
935#393—171no—
936#393—171no—
937#393—171no—
938#393—171no—
939#392—171no—
940#392—171no—
941#392—171no—
942#392—171no—
943#391—171no—
944#390—171no—
945#390—171no—
946#390—171no—
947#390—171no—
948#389—171no—
949#389—171no—
950#389—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#388—171no—
959#388—171no—
960#388—171no—
961#387—171no—
962#387—171no—
963#387—171no—
964#387—171no—
965#387—171no—
966#387—171no—
967#387—171no—
968#387—171no—
969#386—171no—
970#386—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#386—171no—
982#386—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#385C2×D1711yescharacteristic
994#385C2×D1711yescharacteristic
995#385C2×D1711yescharacteristic
996#385C2×D1711yescharacteristic
997#385C2×D1711yescharacteristic
998#385C2×D1711yescharacteristic
999#383—171no—
1000#382—171no—
1001#381—171no—
1002#381—171no—
1003#380—171no—
1004#380—171no—
1005#380C2×D1711yescharacteristic
1006#380C2×D1711yescharacteristic
1007#380C2×D1711yescharacteristic
1008#379—171no—
1009#379C2×D1711yescharacteristic
1010#379C2×D1711yescharacteristic
1011C4×C22⋊C4—171no—
1012C2×#95—171no—
1013C2×C17—42no—
1014C2×C17—42no—
1015C2×C17—42no—
1016C2×C17#344911yescharacteristic
1017C2×C17#348411yescharacteristic
1018C2×C17#348911yescharacteristic
1019C2×C17#353311yescharacteristic
1020C2×C17#353511yescharacteristic
1021C2×C17#354011yescharacteristic
1022C2×C17#354111yescharacteristic
1023D17—42no—
1024D17—81no—
1025D17—81no—
1026C25C22×D1711yescharacteristic
1027C2×#41—344no—
1028C2×#41—682no—
1029C2×#41—682no—
1030C22×Q8—171no—
1031C22×Q8—171no—
1032C22×Q8—171no—
1033C22×Q8C22×D1711yescharacteristic
1034C22×D4—171no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—171no—
1041C22×D4—171no—
1042C22×D4—171no—
1043C22×D4—171no—
1044C22×D4—171no—
1045C22×D4—171no—
1046C23×C4—24no—
1047C23×C4—42no—
1048C23×C4—42no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4C22×D1711yescharacteristic
1055C23×C4C22×D1711yescharacteristic
1056C23×C4C22×D1711yescharacteristic
1057C23×C4C22×D1711yescharacteristic
1058C23×C4C22×D1711yescharacteristic
1059C23×C4C22×D1711yescharacteristic
1060C4⋊Q8—344no—
1061C4⋊Q8—682no—
1062#126—344no—
1063#126—344no—
1064#124—344no—
1065#124—344no—
1066#124—344no—
1067#124—682no—
1068#123—344no—
1069#123—344no—
1070#123—344no—
1071#123—344no—
1072#123—682no—
1073C22⋊Q8—24no—
1074C22⋊Q8—42no—
1075C22⋊Q8—42no—
1076C22⋊Q8—344no—
1077C22⋊Q8—344no—
1078C22⋊Q8—344no—
1079C22⋊Q8—344no—
1080#121—344no—
1081#121—344no—
1082#121—344no—
1083#121—682no—
1084#121—682no—
1085#120—344no—
1086#120—344no—
1087#120—682no—
1088C4×Q8—344no—
1089C4×D4—178no—
1090C4×D4—344no—
1091C4×D4—344no—
1092C4×D4—344no—
1093#117—344no—
1094#117—344no—
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—171no—
1116C2×C4⋊C4—171no—
1117C2×C4⋊C4—171no—
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×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
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⋊C4C22×D1711yescharacteristic
1168C2×C22⋊C4C22×D1711yescharacteristic
1169C2×C22⋊C4C22×D1711yescharacteristic
1170C2×C22⋊C4C22×D1711yescharacteristic
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×C42—171no—
1180C2×C42—171no—
1181C2×C42—171no—
1182C2×C42—171no—
1183C2×C42—171no—
1184C2×C42—171no—
1185C2×C42—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#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#95C22×D1711yescharacteristic
1217#95C22×D1711yescharacteristic
1218#95C22×D1711yescharacteristic
1219#95C22×D1711yescharacteristic
1220#95C22×D1711yescharacteristic
1221#95C22×D1711yescharacteristic
1222C17#3671211yescharacteristic, complemented, Sylow
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—171no—
1231C24—171no—
1232C24—171no—
1233C24C23×D1711yescharacteristic
1234C24C23×D1711yescharacteristic
1235C24C23×D1711yescharacteristic
1236#41—6816no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—342no—
1241C2×Q8—342no—
1242C2×Q8—342no—
1243C2×Q8—342no—
1244C2×Q8—681no—
1245C2×Q8—681no—
1246C2×Q8—681no—
1247C2×Q8—681no—
1248C2×Q8—681no—
1249C2×D4—174no—
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—342no—
1263C2×D4—342no—
1264C2×D4—342no—
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—
1277C2×D4—681no—
1278C2×D4—681no—
1279C2×D4—681no—
1280C2×D4—681no—
1281C2×D4—681no—
1282C2×D4—681no—
1283C2×D4—681no—
1284C2×D4—681no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—416no—
1303C22×C4—171no—
1304C22×C4—171no—
1305C22×C4—171no—
1306C22×C4—174no—
1307C22×C4—171no—
1308C22×C4—171no—
1309C22×C4—171no—
1310C22×C4—171no—
1311C22×C4—171no—
1312C22×C4—171no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—342no—
1318C22×C4—342no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4—681no—
1323C22×C4—681no—
1324C22×C4—681no—
1325C22×C4—681no—
1326C22×C4—681no—
1327C22×C4—681no—
1328C22×C4—681no—
1329C22×C4—681no—
1330C22×C4—681no—
1331C22×C4D4×D1714yes—
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C22×C4C23×D1711yescharacteristic
1338C22×C4C23×D1711yescharacteristic
1339C22×C4C23×D1711yescharacteristic
1340C22×C4C23×D1711yescharacteristic
1341C22×C4C23×D1711yescharacteristic
1342C22×C4C23×D1711yescharacteristic
1343C22×C4C23×D1711yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—174no—
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—342no—
1364C4⋊C4—342no—
1365C4⋊C4—342no—
1366C4⋊C4—681no—
1367C4⋊C4—681no—
1368C4⋊C4—681no—
1369C4⋊C4—681no—
1370C4⋊C4—681no—
1371C4⋊C4—681no—
1372C4⋊C4—681no—
1373C4⋊C4—681no—
1374C4⋊C4—681no—
1375C4⋊C4—681no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—174no—
1389C22⋊C4—174no—
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—342no—
1403C22⋊C4—342no—
1404C22⋊C4—342no—
1405C22⋊C4—342no—
1406C22⋊C4—342no—
1407C22⋊C4—342no—
1408C22⋊C4—342no—
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—
1426C22⋊C4—681no—
1427C22⋊C4—681no—
1428C42—174no—
1429C42—342no—
1430C42—342no—
1431C42—342no—
1432C42—342no—
1433C42—681no—
1434C42—681no—
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—21no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—172no—
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—341no—
1475C23—341no—
1476C23—341no—
1477C23—341no—
1478C23—341no—
1479C23—341no—
1480C23—341no—
1481C23C2×D4×D1712yes—
1482C23#1058769112yes—
1483C23#1058769412yes—
1484C23C24×D1711yescharacteristic
1485Q8—82no—
1486Q8—684no—
1487Q8—684no—
1488Q8—1362no—
1489D4—684no—
1490D4—684no—
1491D4—684no—
1492D4—684no—
1493D4—684no—
1494D4—684no—
1495D4—684no—
1496D4—1362no—
1497D4—1362no—
1498D4—1362no—
1499D4—1362no—
1500D4—1362no—
1501C2×C4—28no—
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—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—172no—
1541C2×C4—172no—
1542C2×C4—172no—
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—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—684no—
1580C2×C4—684no—
1581C2×C4—684no—
1582C2×C4—1362no—
1583C2×C4—1362no—
1584C2×C4C2×D4×D1712yes—
1585C2×C4C2×D4×D1712yes—
1586C2×C4#1058769112yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—416no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—342no—
1610C22—342no—
1611C22—342no—
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—
1626C22—681no—
1627C22—681no—
1628C22—681no—
1629C22—681no—
1630C22C22×D4×D1711yescharacteristic
1631C22C2×#1058769111yescharacteristic
1632C22C2×#1058769111yescharacteristic
1633C22C2×#1058769411yescharacteristic
1634C22#1176364511yescharacteristic
1635C22#1176364511yescharacteristic
1636C22#1176364511yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—342no—
1650C4—342no—
1651C4—342no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C4—681no—
1659C4—681no—
1660C4—681no—
1661C4—681no—
1662C2—42no—
1663C2—42no—
1664C2—42no—
1665C2—682no—
1666C2—1361no—
1667C2—1361no—
1668C2#1454211411yescharacteristic
1669C2#1454241311yescharacteristic
1670C2#1454246011yescharacteristic
1671C2#1454294811yescharacteristic
1672C2#1454299311yescharacteristic
1673C2#1454305911yescharacteristic
1674C2#1454308111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2848C2
hypercenter#2848D17
hypocenterC17#36712
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C2×#11763429C2semidirect
2. C2×#11763320C2semidirect
3. #14537076C2semidirect
4. #14535334C2semidirect
5. #14535319C2semidirect
6. #14535280C2semidirect
7. #14535265C2semidirect
8. #14535239C2semidirect
9. #14535194C2semidirect
10. #14535179C2semidirect
11. #14535164C2semidirect
12. #14535095C2semidirect
13. #14535081C2semidirect
14. #14535069C2semidirect
15. #14535061C2semidirect
16. #14535031C2semidirect
17. #14535024C2semidirect
18. #14535010C2semidirect
19. #14534992C2semidirect
20. #14534702C2semidirect
21. #14534625C2semidirect
22. #14534460C2semidirect
23. #14534400C2semidirect
24. #14534357C2semidirect
25. #14534349C2semidirect
26. #14534141C2semidirect
27. #14533969C2semidirect
28. #14532410C2semidirect
29. #14532393C2semidirect
30. #14531419C2semidirect
31. C17×#2848C2semidirect
34. C2×#10587574C22semidirect
35. C2×#10587630C22semidirect
36. C2×#10587584C22semidirect
38. C2×#10587633C22semidirect
43. C2×#10587580C22semidirect
50. C2×#10587582C22semidirect
51. C2×#10587582C22semidirect
52. C2×#10587581C22semidirect
60. C2×#10587573C22semidirect
66. C2×#10587578C22semidirect
67. #11762751C22semidirect
68. #11762750C22semidirect
71. #11762744C22semidirect
72. #11762744C22semidirect
73. #11762742C22semidirect
74. #11762741C22semidirect
75. #11762740C22semidirect
76. #11762739C22semidirect
77. #11762738C22semidirect
81. #11762735C22semidirect
84. #11762731C22semidirect
85. #11762731C22semidirect
86. #11762731C22semidirect
87. #11762730C22semidirect
88. #11762729C22semidirect
89. #11762729C22semidirect
90. #11762728C22semidirect
91. #11762727C22semidirect
92. #11762726C22semidirect
93. #11762726C22semidirect
94. #11762726C22semidirect
105. #11762722C22semidirect
106. #11762722C22semidirect
110. #11762720C22semidirect
115. #11762713C22semidirect
120. #11762706C22semidirect
121. #11762705C22semidirect
122. #11762704C22semidirect
129. #11762701C22semidirect
130. #11762699C22semidirect
131. #11762698C22semidirect
133. #11762696C22semidirect
134. #11762695C22semidirect
135. #11762695C22semidirect
136. #11762694C22semidirect
137. #11762690C22semidirect
138. #11762690C22semidirect
139. #11762690C22semidirect
140. #11762690C22semidirect
145. #11762687C22semidirect
146. #11762687C22semidirect
147. #11762687C22semidirect
155. #11762683C22semidirect
156. #11762683C22semidirect
161. #11762680C22semidirect
162. #11762680C22semidirect
163. #11762680C22semidirect
164. #11762680C22semidirect
165. #11762676C22semidirect
166. #11762673C22semidirect
169. #11762668C22semidirect
170. #11762666C22semidirect
172. #11762656C22semidirect
173. #95×D17C22semidirect
276. C4×C22⋊D17D4semidirect
753. #2848D17semidirect
1222. C17#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#117634292
C2×#117633202
#145370762
#145353342
#145353192
#145352802
#145352652
#145352392
#145351942
#145351792
#145351642
#145350952
#145350812
#145350692
#145350612
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