Finite Group Databasebeta

← #17241150

Subgroups — #17241150

Order 4352.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763395C211yesmaximal, characteristic, complemented
2C2×#123×D17C211yesmaximal, characteristic, complemented
3#14537072C211yesmaximal, characteristic, complemented
4#14537065C211yesmaximal, characteristic, complemented
5#14535326C211yesmaximal, characteristic, complemented
6#14535324C211yesmaximal, characteristic, complemented
7#14535314C211yesmaximal, characteristic, complemented
8#14535312C211yesmaximal, characteristic, complemented
9#14535294C211yesmaximal, characteristic, complemented
10#14535293C211yesmaximal, characteristic, complemented
11#14535289C211yesmaximal, characteristic, complemented
12#14535042C211yesmaximal, characteristic, complemented
13#14535039C211yesmaximal, characteristic, complemented
14#14535038C211yesmaximal, characteristic, complemented
15#14535035C211yesmaximal, characteristic, complemented
16#14535022C211yesmaximal, characteristic, complemented
17#14535021C211yesmaximal, characteristic, complemented
18#14535018C211yesmaximal, characteristic, complemented
19#14535017C211yesmaximal, characteristic, complemented
20#14534598C211yesmaximal, characteristic, complemented
21#14534531C211yesmaximal, characteristic, complemented
22#14533675C211yesmaximal, characteristic, complemented
23#14533672C211yesmaximal, characteristic, complemented
24#14533097C211yesmaximal, characteristic, complemented
25#14533096C211yesmaximal, characteristic, complemented
26#14532179C211yesmaximal, characteristic, complemented
27#14532173C211yesmaximal, characteristic, complemented
28#14532157C211yesmaximal, characteristic, complemented
29#14532151C211yesmaximal, characteristic, complemented
30#14531395C211yesmaximal, characteristic, complemented
31C17×#2693C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763395—28no—
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587565C2211yescharacteristic, complemented
37C2×#10587571C2211yescharacteristic, complemented
38C2×#10587571C2211yescharacteristic, complemented
39C2×#10587580C2211yescharacteristic
40C2×#10587580C2211yescharacteristic
41C2×#10587580C2211yescharacteristic
42C2×#10587580C2211yescharacteristic, complemented
43C2×#10587572C2211yescharacteristic
44C2×#10587615C2211yescharacteristic
45C2×#10587569C2211yescharacteristic
46C2×#10587569C2211yescharacteristic
47C2×#10587569C2211yescharacteristic
48C2×#10587621C2211yescharacteristic
49#123×D17—28no—
50C2×#10587583C2211yescharacteristic
51C2×#10587583C2211yescharacteristic, complemented
52C2×#10587610C2211yescharacteristic, complemented
53C2×#10587616C2211yescharacteristic
54C2×#10587616C2211yescharacteristic, complemented
55C2×#10587570C2211yescharacteristic
56C2×#10587570C2211yescharacteristic
57C2×#10587570C2211yescharacteristic, complemented
58C2×#10587625C2211yescharacteristic
59C2×#10587625C2211yescharacteristic, complemented
60C2×#10587624C2211yescharacteristic
61C2×#10587624C2211yescharacteristic, complemented
62C2×#10587568C2211yescharacteristic
63C2×#10587568C2211yescharacteristic
64C2×#10587623C2211yescharacteristic
65C2×#10587623C2211yescharacteristic
66C2×#10587579C2211yescharacteristic
67C2×C4×C22⋊D17C2211yescharacteristic
68C2×C4⋊C4×D17C2211yescharacteristic
69C2×C4⋊C4×D17C2211yescharacteristic
70C22×#63227C2211yescharacteristic
71C2×C22⋊C4×D17C2211yescharacteristic
72C2×C22⋊C4×D17C2211yescharacteristic
73C2×C22⋊C4×D17C2211yescharacteristic
74C2×C22⋊C4×D17C2211yescharacteristic
75#11762750C2211yescharacteristic, complemented
76#11762750C2211yescharacteristic, complemented
77#11762748C2211yescharacteristic, complemented
78#11762747C2211yescharacteristic, complemented
79#11762746C2211yescharacteristic, complemented
80#11762745C2211yescharacteristic, complemented
81#11762745C2211yescharacteristic, complemented
82#11762744C2211yescharacteristic, complemented
83#11762743C2211yescharacteristic, complemented
84#11762743C2211yescharacteristic, complemented
85#11762743C2211yescharacteristic, complemented
86#11762742C2211yescharacteristic, complemented
87#11762741C2211yescharacteristic, complemented
88#11762741C2211yescharacteristic, complemented
89#11762738C2211yescharacteristic, complemented
90#11762737C2211yescharacteristic, complemented
91#11762736C2211yescharacteristic, complemented
92#11762733C2211yescharacteristic, complemented
93#11762732C2211yescharacteristic, complemented
94#11762732C2211yescharacteristic, complemented
95#11762731C2211yescharacteristic, complemented
96#11762731C2211yescharacteristic, complemented
97#11762731C2211yescharacteristic, complemented
98#11762730C2211yescharacteristic, complemented
99#11762729C2211yescharacteristic, complemented
100#11762727C2211yescharacteristic
101#11762726C2211yescharacteristic, complemented
102#11762725C2211yescharacteristic
103#11762725C2211yescharacteristic
104#11762725C2211yescharacteristic, complemented
105#11762725C2211yescharacteristic, complemented
106#11762725C2211yescharacteristic, complemented
107#11762725C2211yescharacteristic, complemented
108#11762724C2211yescharacteristic, complemented
109#11762724C2211yescharacteristic, complemented
110#11762724C2211yescharacteristic, complemented
111#11762724C2211yescharacteristic, complemented
112#11762723C2211yescharacteristic
113#11762723C2211yescharacteristic, complemented
114#11762719C2211yescharacteristic
115#11762718C2211yescharacteristic
116#11762717C2211yescharacteristic
117#11762708C2211yescharacteristic, complemented
118#11762706C2211yescharacteristic, complemented
119#11762706C2211yescharacteristic, complemented
120#11762705C2211yescharacteristic, complemented
121#11762703C2211yescharacteristic, complemented
122#11762701C2211yescharacteristic, complemented
123#11762699C2211yescharacteristic, complemented
124#11762697C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic, complemented
126#11762688C2211yescharacteristic, complemented
127#11762688C2211yescharacteristic, complemented
128#11762687C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic, complemented
132#11762687C2211yescharacteristic, complemented
133#11762687C2211yescharacteristic, complemented
134#11762687C2211yescharacteristic, complemented
135#11762686C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762684C2211yescharacteristic, complemented
142#11762684C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic, complemented
144#11762683C2211yescharacteristic
145#11762683C2211yescharacteristic
146#11762683C2211yescharacteristic
147#11762683C2211yescharacteristic
148#11762683C2211yescharacteristic, complemented
149#11762683C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762683C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic, complemented
153#11762681C2211yescharacteristic, complemented
154#11762680C2211yescharacteristic, complemented
155#11762680C2211yescharacteristic, complemented
156#11762671C2211yescharacteristic
157#11762671C2211yescharacteristic
158#11762669C2211yescharacteristic, complemented
159#11762669C2211yescharacteristic, complemented
160#11762668C2211yescharacteristic
161#11762668C2211yescharacteristic
162#11762668C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic, complemented
164#11762668C2211yescharacteristic, complemented
165#11762668C2211yescharacteristic, complemented
166#11762667C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762666C2211yescharacteristic
169#11762666C2211yescharacteristic
170#11762666C2211yescharacteristic, complemented
171#11762666C2211yescharacteristic, complemented
172#11762664C2211yescharacteristic
173#11762664C2211yescharacteristic
174C2×C17×#123C2211yescharacteristic
175C2×C17×#123C2211yescharacteristic, complemented
176C17×#400C2211yescharacteristic, complemented
177C17×#400C2211yescharacteristic, complemented
178C17×#397C2211yescharacteristic, complemented
179C17×#396C2211yescharacteristic, complemented
180C17×#396C2211yescharacteristic, complemented
181C17×#392C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C17×#385C2211yescharacteristic, complemented
187C17×#380C2211yescharacteristic, complemented
188C17×#380C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C2×D4×D17—24no—
208C2×D4×D17—42no—
209C2×D4×D17—42no—
210C22×D68C2311yescharacteristic
211C22×D68C2311yescharacteristic
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×C4×D17—24no—
215C22×C4×D17—42no—
216C22×C4×D17—42no—
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×Dic34C2311yescharacteristic
228C17×#123—24no—
229C17×#123—24no—
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×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
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×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
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261#10587625—42no—
262#10587625—42no—
263#10587624—24no—
264#10587624—42no—
265#10587623—24no—
266#10587623—42no—
267#10587621—24no—
268#10587616—24no—
269#10587616—42no—
270#10587615—24no—
271C4×C22⋊D17—24no—
272C2×#63227—42no—
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×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314#10587610—42no—
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×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333#10587584—24no—
334#10587583—24no—
335#10587583—42no—
336#10587580—24no—
337#10587580—24no—
338#10587580—24no—
339#10587580—42no—
340#10587579—24no—
341C4⋊C4×D17—24no—
342C4⋊C4×D17—24no—
343#10587572—24no—
344#10587571—24no—
345#10587571—24no—
346#10587570—24no—
347#10587570—42no—
348#10587570—42no—
349#10587569—24no—
350#10587569—24no—
351#10587569—42no—
352#10587568—24no—
353#10587568—42no—
354C22⋊C4×D17—24no—
355C22⋊C4×D17—24no—
356C22⋊C4×D17—42no—
357C22⋊C4×D17D418yescomplemented
358#10587565—24no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—41no—
402C23×D17—41no—
403C23×D17—41no—
404C23×D17—41no—
405C23×D17—41no—
406C23×D17—41no—
407C23×D17C2×D414yes—
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C23×D17C2411yescharacteristic
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C22×C4×C17—22no—
422C22×C4×C17—22no—
423C22×C4×C17—22no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17—41no—
466C22×Dic17—22no—
467C22×Dic17—22no—
468C22×Dic17—41no—
469C22×Dic17—41no—
470C22×Dic17—41no—
471C22×Dic17—41no—
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484D4×D17—416no—
485C2×D68—22no—
486C2×D68—22no—
487C2×D68—22no—
488C2×D68—22no—
489C2×D68—22no—
490C2×D68—22no—
491C2×D68—22no—
492C2×D68—41no—
493C2×D68—41no—
494C2×D68—41no—
495C2×D68—41no—
496C2×D68—41no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—416no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17—41no—
526C2×C4×D17C2×D414yes—
527C2×C4×D17C2×D414yes—
528C2×Dic34—22no—
529C2×Dic34—41no—
530C2×Dic34—41no—
531C4⋊C4×C17—22no—
532C4⋊C4×C17—22no—
533C4⋊C4×C17—22no—
534C4⋊C4×C17—22no—
535C4⋊C4×C17—41no—
536C4⋊C4×C17—41no—
537C4⋊C4×C17—41no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—22no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17C2×D414yes—
550C22⋊Dic17—22no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—22no—
555C22⋊Dic17—22no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17C2×D414yes—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—22no—
577#63227—22no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586#63227—41no—
587#63227—41no—
588#63227—41no—
589#63227—41no—
590#63227C2×D414yes—
591#63227C2×D414yes—
592C4⋊Dic17—22no—
593C4⋊Dic17—22no—
594C4⋊Dic17—22no—
595C4⋊Dic17—22no—
596C4⋊Dic17—41no—
597C4⋊Dic17—41no—
598C4⋊Dic17—41no—
599C4⋊Dic17—41no—
600C4⋊Dic17—41no—
601C4⋊Dic17—41no—
602C4⋊Dic17—41no—
603#63225—22no—
604#63225—22no—
605#63225—22no—
606#63225—22no—
607#63225—22no—
608#63225—22no—
609#63225—41no—
610#63225—41no—
611#63225—41no—
612#63225—41no—
613#63225—41no—
614#63225—41no—
615#63225—41no—
616#63225—41no—
617#63225—41no—
618#63225—41no—
619C4×Dic17—22no—
620C4×Dic17—22no—
621#36709—171nomaximal, Sylow
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17C22×D412yes—
642C23×C17H(5,𝔽2)12yes—
643C23×C17C2511yescharacteristic
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—28no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—28no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—44no—
670C22×D17—44no—
671C22×D17—44no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—44no—
676C22×D17—44no—
677C22×D17—82no—
678C22×D17—82no—
679C22×D17—82no—
680C22×D17—82no—
681C22×D17C22×D412yes—
682C22×D17C22×D412yes—
683C22×D17H(5,𝔽2)12yes—
684C22×D17H(5,𝔽2)12yes—
685C22×D172−1+412yes—
686D4×C17—44no—
687D4×C17—82no—
688D4×C17—82no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—44no—
724C2×C4×C17—82no—
725C2×C4×C17—82no—
726C2×C4×C17C22×D412yes—
727C2×C4×C17C22×D412yes—
728C22⋊D17—44no—
729C22⋊D17—44no—
730C22⋊D17—44no—
731C22⋊D17—82no—
732C22⋊D17—82no—
733C22⋊D17—82no—
734C22⋊D17—82no—
735C22⋊D17—82no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—44no—
771C2×Dic17—82no—
772C2×Dic17C22×D412yes—
773C2×Dic17C22×D412yes—
774D68—44no—
775D68—44no—
776D68—82no—
777D68—82no—
778C4×D17—44no—
779C4×D17—44no—
780C4×D17—44no—
781C4×D17—44no—
782C4×D17—44no—
783C4×D17—44no—
784C4×D17—44no—
785C4×D17—82no—
786C4×D17—82no—
787C4×D17—82no—
788Dic34—82no—
789C2×#538—171no—
790C22×#123—171no—
791#2848—171no—
792#2847—171no—
793#2695—171no—
794#2695—171no—
795#2695—171no—
796#2695—171no—
797#2693—171no—
798#2693—171no—
799#2693—171no—
800#2693D1711yescharacteristic, complemented
801#2672—171no—
802#2672—171no—
803#2672—171no—
804#2672—171no—
805#2671—171no—
806#2671—171no—
807#2671—171no—
808#2671—171no—
809#2627—171no—
810#2618—171no—
811#2534—171no—
812#2534—171no—
813#2487—171no—
814#2487—171no—
815#2412—171no—
816#2412—171no—
817#2410—171no—
818#2410—171no—
819#2315—171no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17C23×D411yescharacteristic
842C22×C17C2×H(5,𝔽2)11yescharacteristic
843C22×C17C2×H(5,𝔽2)11yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17C2×2−1+411yescharacteristic
846C22×C17#58511yescharacteristic
847C22×C17#58511yescharacteristic
848C2×D17—22no—
849C2×D17—22no—
850C2×D17—22no—
851C2×D17—22no—
852C2×D17—22no—
853C2×D17—22no—
854C2×D17—22no—
855C2×D17—22no—
856C2×D17—22no—
857C2×D17—22no—
858C2×D17—22no—
859C2×D17—22no—
860C2×D17—416no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—88no—
877C2×D17#53714yes—
878C4×C17—22no—
879C4×C17—22no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890Dic17—22no—
891Dic17—22no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901Dic17—41no—
902C23×D4—171no—
903C24×C4—171no—
904#538—348no—
905C2×#126—171no—
906C2×#126—171no—
907C2×#124—171no—
908C2×#124—171no—
909C2×#123—171no—
910C2×#123—171no—
911C2×#123—171no—
912C2×#123—171no—
913C2×#123—171no—
914C2×#123—171no—
915C2×#123—171no—
916C2×#123—171no—
917C2×#123—171no—
918C2×#123—171no—
919C2×#123—348no—
920C2×#123C2×D1711yescharacteristic
921C2×#123C2×D1711yescharacteristic, complemented
922C2×C22⋊Q8—171no—
923C2×C22⋊Q8—171no—
924C2×C22⋊Q8—171no—
925C2×#121—171no—
926C2×#121—171no—
927C2×#121—171no—
928C2×#121—171no—
929C2×#121—171no—
930C2×#121—171no—
931C2×#121—171no—
932C2×#121—171no—
933C2×#121—171no—
934C2×#120—171no—
935C2×#120—171no—
936C2×#120—171no—
937C2×#120—171no—
938C2×C4×D4—171no—
939C2×C4×D4—171no—
940C22×C4⋊C4—171no—
941C22×C4⋊C4—171no—
942C22×C22⋊C4—171no—
943C22×C22⋊C4—171no—
944C22×C22⋊C4—171no—
945C22×C22⋊C4—171no—
946C22×C22⋊C4—171no—
947#400—171no—
948#400—171no—
949#400—171no—
950#400—171no—
951#400C2×D1711yescharacteristic, complemented
952#400C2×D1711yescharacteristic, complemented
953#399—171no—
954#399—171no—
955#399—171no—
956#399—171no—
957#398—171no—
958#398—171no—
959#398—171no—
960#398—171no—
961#398—171no—
962#398—171no—
963#397—171no—
964#397—171no—
965#397—171no—
966#397C2×D1711yescharacteristic, complemented
967#396—171no—
968#396—171no—
969#396—171no—
970#396—171no—
971#396—171no—
972#396—171no—
973#396C2×D1711yescharacteristic, complemented
974#396C2×D1711yescharacteristic, complemented
975#395—171no—
976#395—171no—
977#394—171no—
978#394—171no—
979#394—171no—
980#394—171no—
981#394—171no—
982#394—171no—
983#394—171no—
984#394—171no—
985#394—171no—
986#394—171no—
987#394—171no—
988#394—171no—
989#394—171no—
990#394—171no—
991#392—171no—
992#392—171no—
993#392—171no—
994#392C2×D1711yescharacteristic
995#389—171no—
996#389—171no—
997#389—171no—
998#389—171no—
999#388—171no—
1000#388—171no—
1001#388—171no—
1002#388—171no—
1003#386—171no—
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386C2×D1711yescharacteristic
1020#386C2×D1711yescharacteristic, complemented
1021#386C2×D1711yescharacteristic, complemented
1022#386C2×D1711yescharacteristic, complemented
1023#385—171no—
1024#385—171no—
1025#385—171no—
1026#385—171no—
1027#385—171no—
1028#385—171no—
1029#385—171no—
1030#385—171no—
1031#385—171no—
1032#385—171no—
1033#385—171no—
1034#385—171no—
1035#385—171no—
1036#385—171no—
1037#385—171no—
1038#385C2×D1711yescharacteristic, complemented
1039#381—171no—
1040#381—171no—
1041#380—171no—
1042#380—171no—
1043#380—171no—
1044#380—171no—
1045#380—171no—
1046#380—171no—
1047#380—171no—
1048#380—171no—
1049#380—171no—
1050#380—171no—
1051#380—171no—
1052#380—171no—
1053#380—171no—
1054#380—171no—
1055#380C2×D1711yescharacteristic, complemented
1056#380C2×D1711yescharacteristic, complemented
1057#379—171no—
1058#379—171no—
1059C2×C17—42no—
1060C2×C17—42no—
1061C2×C17—81no—
1062C2×C17C2×#53711yescharacteristic
1063C2×C17#348411yescharacteristic
1064C2×C17#348511yescharacteristic
1065C2×C17#353411yescharacteristic
1066C2×C17#353411yescharacteristic
1067C2×C17#353511yescharacteristic
1068C2×C17#353511yescharacteristic
1069D17—24no—
1070D17—42no—
1071D17—42no—
1072D17—81no—
1073C25—171no—
1074C25—171no—
1075C22×Q8—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—344no—
1089C22×D4—682no—
1090C22×D4—682no—
1091C22×D4C22×D1711yescharacteristic
1092C22×D4C22×D1711yescharacteristic
1093C22×D4C22×D1711yescharacteristic
1094C23×C4—171no—
1095C23×C4—171no—
1096C23×C4—171no—
1097C23×C4—171no—
1098C23×C4—171no—
1099C23×C4—171no—
1100C23×C4—171no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—171no—
1104C23×C4—171no—
1105C23×C4—171no—
1106C23×C4—344no—
1107C23×C4—682no—
1108C23×C4—682no—
1109C23×C4C22×D1711yescharacteristic
1110C23×C4C22×D1711yescharacteristic
1111C23×C4C22×D1711yescharacteristic
1112#126—344no—
1113#126—344no—
1114#124—344no—
1115#124—344no—
1116#123—24no—
1117#123—24no—
1118#123—344no—
1119#123—344no—
1120#123—344no—
1121#123—344no—
1122#123—344no—
1123#123—344no—
1124#123—344no—
1125#123—344no—
1126#123—682no—
1127#123—682no—
1128C22⋊Q8—344no—
1129C22⋊Q8—682no—
1130C22⋊Q8—682no—
1131#121—344no—
1132#121—344no—
1133#121—344no—
1134#121—682no—
1135#121—682no—
1136#121—682no—
1137#121—682no—
1138#121—682no—
1139#121—682no—
1140#120—344no—
1141#120—344no—
1142#120—682no—
1143#120—682no—
1144C4×D4—344no—
1145C4×D4—344no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4—171no—
1154C2×C4⋊C4—171no—
1155C2×C4⋊C4—171no—
1156C2×C4⋊C4—171no—
1157C2×C4⋊C4—171no—
1158C2×C4⋊C4—171no—
1159C2×C4⋊C4—171no—
1160C2×C4⋊C4—171no—
1161C2×C4⋊C4—171no—
1162C2×C4⋊C4—171no—
1163C2×C4⋊C4—171no—
1164C2×C4⋊C4—171no—
1165C2×C4⋊C4—171no—
1166C2×C4⋊C4—171no—
1167C2×C4⋊C4—171no—
1168C2×C4⋊C4—171no—
1169C2×C4⋊C4—171no—
1170C2×C4⋊C4—171no—
1171C2×C4⋊C4—171no—
1172C2×C4⋊C4—171no—
1173C2×C4⋊C4—344no—
1174C2×C4⋊C4—344no—
1175C2×C4⋊C4C22×D1711yescharacteristic
1176C2×C4⋊C4C22×D1711yescharacteristic
1177C2×C4⋊C4C22×D1711yescharacteristic
1178C2×C4⋊C4C22×D1711yescharacteristic
1179C2×C4⋊C4C22×D1711yescharacteristic
1180C2×C4⋊C4C22×D1711yescharacteristic
1181C2×C4⋊C4C22×D1711yescharacteristic
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—178no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊C4—171no—
1207C2×C22⋊C4—171no—
1208C2×C22⋊C4—171no—
1209C2×C22⋊C4—171no—
1210C2×C22⋊C4—171no—
1211C2×C22⋊C4—171no—
1212C2×C22⋊C4—171no—
1213C2×C22⋊C4—171no—
1214C2×C22⋊C4—171no—
1215C2×C22⋊C4—171no—
1216C2×C22⋊C4—171no—
1217C2×C22⋊C4—171no—
1218C2×C22⋊C4—171no—
1219C2×C22⋊C4—171no—
1220C2×C22⋊C4—171no—
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—171no—
1224C2×C22⋊C4—171no—
1225C2×C22⋊C4—344no—
1226C2×C22⋊C4—344no—
1227C2×C22⋊C4—682no—
1228C2×C22⋊C4—682no—
1229C2×C22⋊C4C22×D1711yescharacteristic
1230C2×C22⋊C4C22×D1711yescharacteristic
1231C2×C22⋊C4C22×D1711yescharacteristic
1232C2×C22⋊C4C22×D1711yescharacteristic
1233C2×C22⋊C4C22×D1711yescharacteristic
1234C2×C22⋊C4C22×D1711yescharacteristic
1235C2×C22⋊C4C22×D1711yescharacteristic
1236C2×C22⋊C4C22×D1711yescharacteristic
1237C2×C22⋊C4C22×D1711yescharacteristic
1238C2×C22⋊C4C22×D1711yescharacteristic
1239C2×C22⋊C4C22×D1711yescharacteristic
1240C2×C22⋊C4C22×D1711yescharacteristic
1241C2×C42—171no—
1242C2×C42—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95—171no—
1256#95—171no—
1257#95—171no—
1258#95—171no—
1259#95—171no—
1260#95—171no—
1261#95—171no—
1262#95—171no—
1263#95—171no—
1264#95—171no—
1265#95C22×D1711yescharacteristic
1266#95C22×D1711yescharacteristic
1267#95C22×D1711yescharacteristic
1268#95C22×D1711yescharacteristic
1269#95C22×D1711yescharacteristic
1270#95C22×D1711yescharacteristic
1271#95C22×D1711yescharacteristic
1272#95C22×D1711yescharacteristic
1273#95C22×D1711yescharacteristic
1274#95C22×D1711yescharacteristic
1275C17#3670911yescharacteristic, complemented, Sylow
1276C24—171no—
1277C24—171no—
1278C24—171no—
1279C24—174no—
1280C24—171no—
1281C24—342no—
1282C24—342no—
1283C24—342no—
1284C24—342no—
1285C24—342no—
1286C24—342no—
1287C24—342no—
1288C24—681no—
1289C24—681no—
1290C24—681no—
1291C24—681no—
1292C24—681no—
1293C24—681no—
1294C24C23×D1711yescharacteristic
1295C24C23×D1711yescharacteristic
1296C24C23×D1711yescharacteristic
1297C2×Q8—342no—
1298C2×Q8—681no—
1299C2×Q8—681no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—342no—
1312C2×D4—342no—
1313C2×D4—342no—
1314C2×D4—342no—
1315C2×D4—342no—
1316C2×D4—342no—
1317C2×D4—342no—
1318C2×D4—342no—
1319C2×D4—342no—
1320C2×D4—342no—
1321C2×D4—342no—
1322C2×D4—342no—
1323C2×D4—342no—
1324C2×D4—342no—
1325C2×D4—342no—
1326C2×D4—342no—
1327C2×D4—342no—
1328C2×D4—681no—
1329C2×D4—681no—
1330C2×D4—681no—
1331C2×D4—681no—
1332C2×D4—681no—
1333C2×D4—681no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—6816no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—174no—
1358C22×C4—174no—
1359C22×C4—171no—
1360C22×C4—171no—
1361C22×C4—171no—
1362C22×C4—171no—
1363C22×C4—171no—
1364C22×C4—171no—
1365C22×C4—171no—
1366C22×C4—171no—
1367C22×C4—171no—
1368C22×C4—171no—
1369C22×C4—342no—
1370C22×C4—342no—
1371C22×C4—342no—
1372C22×C4—342no—
1373C22×C4—342no—
1374C22×C4—342no—
1375C22×C4—342no—
1376C22×C4—342no—
1377C22×C4—342no—
1378C22×C4—342no—
1379C22×C4—342no—
1380C22×C4—342no—
1381C22×C4—681no—
1382C22×C4—681no—
1383C22×C4—681no—
1384C22×C4—681no—
1385C22×C4—681no—
1386C22×C4—681no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4—681no—
1390C22×C4—681no—
1391C22×C4—681no—
1392C22×C4—681no—
1393C22×C4—681no—
1394C22×C4—681no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4—681no—
1398C22×C4—681no—
1399C22×C4—6816no—
1400C22×C4—681no—
1401C22×C4—681no—
1402C22×C4—681no—
1403C22×C4—681no—
1404C22×C4C23×D1711yescharacteristic
1405C22×C4C23×D1711yescharacteristic
1406C22×C4C23×D1711yescharacteristic
1407C22×C4C23×D1711yescharacteristic
1408C22×C4C23×D1711yescharacteristic
1409C22×C4C23×D1711yescharacteristic
1410C22×C4C23×D1711yescharacteristic
1411C22×C4C23×D1711yescharacteristic
1412C22×C4C23×D1711yescharacteristic
1413C22×C4C23×D1711yescharacteristic
1414C22×C4C23×D1711yescharacteristic
1415C22×C4C23×D1711yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—342no—
1424C4⋊C4—342no—
1425C4⋊C4—342no—
1426C4⋊C4—342no—
1427C4⋊C4—342no—
1428C4⋊C4—342no—
1429C4⋊C4—342no—
1430C4⋊C4—342no—
1431C4⋊C4—342no—
1432C4⋊C4—342no—
1433C4⋊C4—681no—
1434C4⋊C4—681no—
1435C4⋊C4—681no—
1436C4⋊C4—681no—
1437C4⋊C4—681no—
1438C4⋊C4—681no—
1439C4⋊C4—681no—
1440C4⋊C4—681no—
1441C4⋊C4—681no—
1442C4⋊C4—681no—
1443C4⋊C4—681no—
1444C4⋊C4—681no—
1445C4⋊C4—681no—
1446C4⋊C4—681no—
1447C4⋊C4—681no—
1448C4⋊C4—681no—
1449C4⋊C4—681no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—174no—
1462C22⋊C4—174no—
1463C22⋊C4—174no—
1464C22⋊C4—342no—
1465C22⋊C4—342no—
1466C22⋊C4—342no—
1467C22⋊C4—342no—
1468C22⋊C4—342no—
1469C22⋊C4—342no—
1470C22⋊C4—342no—
1471C22⋊C4—342no—
1472C22⋊C4—342no—
1473C22⋊C4—342no—
1474C22⋊C4—342no—
1475C22⋊C4—342no—
1476C22⋊C4—342no—
1477C22⋊C4—342no—
1478C22⋊C4—342no—
1479C22⋊C4—342no—
1480C22⋊C4—342no—
1481C22⋊C4—342no—
1482C22⋊C4—342no—
1483C22⋊C4—342no—
1484C22⋊C4—342no—
1485C22⋊C4—342no—
1486C22⋊C4—681no—
1487C22⋊C4—681no—
1488C22⋊C4—681no—
1489C22⋊C4—681no—
1490C22⋊C4—681no—
1491C22⋊C4—681no—
1492C22⋊C4—681no—
1493C22⋊C4—681no—
1494C22⋊C4—681no—
1495C22⋊C4—681no—
1496C22⋊C4—681no—
1497C22⋊C4—681no—
1498C22⋊C4—681no—
1499C22⋊C4—681no—
1500C22⋊C4—681no—
1501C22⋊C4—681no—
1502C22⋊C4—681no—
1503C22⋊C4D4×D1714yes—
1504C42—342no—
1505C42—342no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—172no—
1526C23—172no—
1527C23—172no—
1528C23—172no—
1529C23—172no—
1530C23—348no—
1531C23—348no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—341no—
1549C23—341no—
1550C23—341no—
1551C23—341no—
1552C23—341no—
1553C23—341no—
1554C23—341no—
1555C23—684no—
1556C23—684no—
1557C23—684no—
1558C23—684no—
1559C23—684no—
1560C23—684no—
1561C23—684no—
1562C23—684no—
1563C23—1362no—
1564C23—1362no—
1565C23—1362no—
1566C23—1362no—
1567C23C2×D4×D1712yes—
1568C23#1058769612yes—
1569C23C24×D1711yescharacteristic
1570Q8—1362no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—684no—
1575D4—684no—
1576D4—684no—
1577D4—684no—
1578D4—684no—
1579D4—1362no—
1580D4—1362no—
1581D4—1362no—
1582D4—1362no—
1583D4—1362no—
1584D4—1362no—
1585D4—1362no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—82no—
1623C2×C4—172no—
1624C2×C4—172no—
1625C2×C4—341no—
1626C2×C4—341no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—341no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—341no—
1654C2×C4—341no—
1655C2×C4—341no—
1656C2×C4—341no—
1657C2×C4—341no—
1658C2×C4—341no—
1659C2×C4—684no—
1660C2×C4—684no—
1661C2×C4—684no—
1662C2×C4—684no—
1663C2×C4—684no—
1664C2×C4—684no—
1665C2×C4—684no—
1666C2×C4—684no—
1667C2×C4—1362no—
1668C2×C4—1362no—
1669C2×C4—1362no—
1670C2×C4—1362no—
1671C2×C4C2×D4×D1712yes—
1672C2×C4C2×D4×D1712yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—174no—
1695C22—342no—
1696C22—342no—
1697C22—342no—
1698C22—342no—
1699C22—342no—
1700C22—342no—
1701C22—342no—
1702C22—342no—
1703C22—342no—
1704C22—342no—
1705C22—342no—
1706C22—342no—
1707C22—6816no—
1708C22—681no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—681no—
1723C22—1368no—
1724C22C22×D4×D1711yescharacteristic
1725C22H(5,𝔽2)×D1711yescharacteristic
1726C22H(5,𝔽2)×D1711yescharacteristic
1727C22C2×#1058769611yescharacteristic
1728C222−1+4×D1711yescharacteristic
1729C22#1176364411yescharacteristic
1730C22#1176364511yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—342no—
1744C4—342no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C4—681no—
1750C4—681no—
1751C4—681no—
1752C4—681no—
1753C4—681no—
1754C4—681no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—344no—
1759C2—682no—
1760C2—682no—
1761C2—1361no—
1762C2D17×#53711yescharacteristic
1763C2#1454241411yescharacteristic
1764C2#1454242111yescharacteristic
1765C2#1454296511yescharacteristic
1766C2#1454297711yescharacteristic
1767C2#1454299111yescharacteristic
1768C2#1454299211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2693C2
hypercenter#2693D17
hypocenterC17#36709
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2693

Complements

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

NH ≅ G/Ntype
1. C2×#11763395C2semidirect
2. C2×#123×D17C2semidirect
3. #14537072C2semidirect
4. #14537065C2semidirect
5. #14535326C2semidirect
6. #14535324C2semidirect
7. #14535314C2semidirect
8. #14535312C2semidirect
9. #14535294C2semidirect
10. #14535293C2semidirect
11. #14535289C2semidirect
12. #14535042C2semidirect
13. #14535039C2semidirect
14. #14535038C2semidirect
15. #14535035C2semidirect
16. #14535022C2semidirect
17. #14535021C2semidirect
18. #14535018C2semidirect
19. #14535017C2semidirect
20. #14534598C2semidirect
21. #14534531C2semidirect
22. #14533675C2semidirect
23. #14533672C2semidirect
24. #14533097C2semidirect
25. #14533096C2semidirect
26. #14532179C2semidirect
27. #14532173C2semidirect
28. #14532157C2semidirect
29. #14532151C2semidirect
30. #14531395C2semidirect
31. C17×#2693C2semidirect
35. C2×#10587584C22semidirect
36. C2×#10587565C22semidirect
37. C2×#10587571C22semidirect
38. C2×#10587571C22semidirect
42. C2×#10587580C22semidirect
51. C2×#10587583C22semidirect
52. C2×#10587610C22semidirect
54. C2×#10587616C22semidirect
57. C2×#10587570C22semidirect
59. C2×#10587625C22semidirect
61. C2×#10587624C22semidirect
75. #11762750C22semidirect
76. #11762750C22semidirect
77. #11762748C22semidirect
78. #11762747C22semidirect
79. #11762746C22semidirect
80. #11762745C22semidirect
81. #11762745C22semidirect
82. #11762744C22semidirect
83. #11762743C22semidirect
84. #11762743C22semidirect
85. #11762743C22semidirect
86. #11762742C22semidirect
87. #11762741C22semidirect
88. #11762741C22semidirect
89. #11762738C22semidirect
90. #11762737C22semidirect
91. #11762736C22semidirect
92. #11762733C22semidirect
93. #11762732C22semidirect
94. #11762732C22semidirect
95. #11762731C22semidirect
96. #11762731C22semidirect
97. #11762731C22semidirect
98. #11762730C22semidirect
99. #11762729C22semidirect
101. #11762726C22semidirect
104. #11762725C22semidirect
105. #11762725C22semidirect
106. #11762725C22semidirect
107. #11762725C22semidirect
108. #11762724C22semidirect
109. #11762724C22semidirect
110. #11762724C22semidirect
111. #11762724C22semidirect
113. #11762723C22semidirect
117. #11762708C22semidirect
118. #11762706C22semidirect
119. #11762706C22semidirect
120. #11762705C22semidirect
121. #11762703C22semidirect
122. #11762701C22semidirect
123. #11762699C22semidirect
124. #11762697C22semidirect
125. #11762689C22semidirect
126. #11762688C22semidirect
127. #11762688C22semidirect
131. #11762687C22semidirect
132. #11762687C22semidirect
133. #11762687C22semidirect
134. #11762687C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
141. #11762684C22semidirect
142. #11762684C22semidirect
143. #11762684C22semidirect
148. #11762683C22semidirect
149. #11762683C22semidirect
150. #11762683C22semidirect
151. #11762683C22semidirect
152. #11762682C22semidirect
153. #11762681C22semidirect
154. #11762680C22semidirect
155. #11762680C22semidirect
158. #11762669C22semidirect
159. #11762669C22semidirect
162. #11762668C22semidirect
163. #11762668C22semidirect
164. #11762668C22semidirect
165. #11762668C22semidirect
166. #11762667C22semidirect
167. #11762667C22semidirect
170. #11762666C22semidirect
171. #11762666C22semidirect
175. C2×C17×#123C22semidirect
176. C17×#400C22semidirect
177. C17×#400C22semidirect
178. C17×#397C22semidirect
179. C17×#396C22semidirect
180. C17×#396C22semidirect
183. C17×#386C22semidirect
184. C17×#386C22semidirect
185. C17×#386C22semidirect
186. C17×#385C22semidirect
187. C17×#380C22semidirect
188. C17×#380C22semidirect
357. C22⋊C4×D17D4semidirect
800. #2693D17semidirect
921. C2×#123C2×D17semidirect
951. #400C2×D17semidirect
952. #400C2×D17semidirect
966. #397C2×D17semidirect
973. #396C2×D17semidirect
974. #396C2×D17semidirect
1020. #386C2×D17semidirect
1021. #386C2×D17semidirect
1022. #386C2×D17semidirect
1038. #385C2×D17semidirect
1055. #380C2×D17semidirect
1056. #380C2×D17semidirect
1275. C17#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#117633952
C2×#123×D172
#145370722
#145370652
#145353262
#145353242
#145353142
#145353122
#145352942
#145352932
#145352892
#145350422
#145350392
#145350382
#145350352
#145350222
#145350212
#145350182
#145350172
#145345982
#145345312
#145336752
#145336722
#145330972
#145330962
#145321792
#145321732
#145321572
#145321512
#145313952
C17×#26932
#3670917