Finite Group Databasebeta

← #17243172

Subgroups — #17243172

Order 4352.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537074C211yesmaximal, characteristic, complemented
2#14537069C211yesmaximal, characteristic, complemented
3#14536624C211yesmaximal, characteristic, complemented
4#14536169C211yesmaximal, characteristic, complemented
5#14536114C211yesmaximal, characteristic, complemented
6#14536043C211yesmaximal, characteristic, complemented
7#14535845C211yesmaximal, characteristic, complemented
8#14535774C211yesmaximal, characteristic, complemented
9#14535707C211yesmaximal, characteristic, complemented
10#14535594C211yesmaximal, characteristic, complemented
11#14535550C211yesmaximal, characteristic, complemented
12#14535532C211yesmaximal, characteristic, complemented
13#14535460C211yesmaximal, characteristic, complemented
14#14535395C211yesmaximal, characteristic, complemented
15#14535380C211yesmaximal, characteristic, complemented
16#14535258C211yesmaximal, characteristic, complemented
17#14535184C211yesmaximal, characteristic, complemented
18#14535037C211yesmaximal, characteristic, complemented
19#14534591C211yesmaximal, characteristic, complemented
20#14534561C211yesmaximal, characteristic, complemented
21#14533968C211yesmaximal, characteristic, complemented
22#14533792C211yesmaximal, characteristic, complemented
23#14533030C211yesmaximal, characteristic, complemented
24#14533024C211yesmaximal, characteristic, complemented
25#14532912C211yesmaximal, characteristic, complemented
26#14532433C211yesmaximal, characteristic, complemented
27#14532137C211yesmaximal, characteristic
28#14531512C211yesmaximal, characteristic, complemented
29#14531410C211yesmaximal, characteristic, complemented
30C2×#11762686C211yesmaximal, characteristic, complemented
31C17×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C24×Dic17C2211yescharacteristic
34C2×#10587562C2211yescharacteristic, complemented
35C2×#10587565C2211yescharacteristic, complemented
36C2×#10587571C2211yescharacteristic
37C2×#10587571C2211yescharacteristic
38C2×#10587571C2211yescharacteristic, complemented
39C2×#10587621C2211yescharacteristic, complemented
40C2×#10587621C2211yescharacteristic, complemented
41C2×#10587564C2211yescharacteristic
42C2×#10587564C2211yescharacteristic
43C2×#10587564C2211yescharacteristic, complemented
44C2×#10587564C2211yescharacteristic, complemented
45C2×#10587625C2211yescharacteristic
46C2×#10587625C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×D4×Dic17C2211yescharacteristic
49C22×#63227C2211yescharacteristic
50C22×#63227C2211yescharacteristic
51#11762751C2211yescharacteristic, complemented
52#11762745C2211yescharacteristic, complemented
53#11762744C2211yescharacteristic, complemented
54#11762744C2211yescharacteristic, complemented
55#11762740C2211yescharacteristic, complemented
56#11762739C2211yescharacteristic, complemented
57#11762738C2211yescharacteristic, complemented
58#11762738C2211yescharacteristic, complemented
59#11762738C2211yescharacteristic, complemented
60#11762738C2211yescharacteristic, complemented
61#11762738C2211yescharacteristic, complemented
62#11762738C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762736C2211yescharacteristic, complemented
66#11762736C2211yescharacteristic, complemented
67#11762734C2211yescharacteristic, complemented
68#11762733C2211yescharacteristic, complemented
69#11762732C2211yescharacteristic, complemented
70#11762731C2211yescharacteristic, complemented
71#11762731C2211yescharacteristic, complemented
72#11762731C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic, complemented
74#11762730C2211yescharacteristic, complemented
75#11762729C2211yescharacteristic, complemented
76#11762728C2211yescharacteristic, complemented
77#11762725C2211yescharacteristic
78#11762725C2211yescharacteristic
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic
81#11762725C2211yescharacteristic, complemented
82#11762725C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762724C2211yescharacteristic
85#11762724C2211yescharacteristic
86#11762724C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762722C2211yescharacteristic, complemented
90#11762721C2211yescharacteristic, complemented
91#11762720C2211yescharacteristic, complemented
92#11762720C2211yescharacteristic, complemented
93#11762717C2211yescharacteristic
94#11762717C2211yescharacteristic
95#11762716C2211yescharacteristic, complemented
96#11762715C2211yescharacteristic, complemented
97#11762714C2211yescharacteristic, complemented
98#11762713C2211yescharacteristic, complemented
99#11762709C2211yescharacteristic
100#11762709C2211yescharacteristic
101#11762709C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762709C2211yescharacteristic, complemented
104#11762707C2211yescharacteristic, complemented
105#11762706C2211yescharacteristic, complemented
106#11762704C2211yescharacteristic, complemented
107#11762704C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic, complemented
109#11762703C2211yescharacteristic, complemented
110#11762702C2211yescharacteristic, complemented
111#11762701C2211yescharacteristic, complemented
112#11762700C2211yescharacteristic, complemented
113#11762700C2211yescharacteristic, complemented
114#11762700C2211yescharacteristic, complemented
115#11762698C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic, complemented
117#11762697C2211yescharacteristic, complemented
118#11762696C2211yescharacteristic, complemented
119#11762696C2211yescharacteristic, complemented
120#11762694C2211yescharacteristic, complemented
121#11762693C2211yescharacteristic, complemented
122#11762693C2211yescharacteristic, complemented
123#11762692C2211yescharacteristic, complemented
124#11762692C2211yescharacteristic, complemented
125#11762692C2211yescharacteristic, complemented
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic, complemented
129#11762689C2211yescharacteristic, complemented
130#11762686C2211yescharacteristic
131#11762686C2211yescharacteristic
132#11762686C2211yescharacteristic
133#11762686C2211yescharacteristic
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762686C2211yescharacteristic
138#11762684C2211yescharacteristic
139#11762684C2211yescharacteristic, complemented
140#11762684C2211yescharacteristic, complemented
141#11762684C2211yescharacteristic, complemented
142#11762682C2211yescharacteristic
143#11762682C2211yescharacteristic
144#11762681C2211yescharacteristic
145#11762681C2211yescharacteristic
146#11762681C2211yescharacteristic
147#11762681C2211yescharacteristic, complemented
148#11762681C2211yescharacteristic, complemented
149#11762681C2211yescharacteristic, complemented
150#11762681C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic, complemented
152#11762676C2211yescharacteristic, complemented
153#11762673C2211yescharacteristic, complemented
154#11762670C2211yescharacteristic, complemented
155#11762670C2211yescharacteristic, complemented
156#11762670C2211yescharacteristic, complemented
157#11762669C2211yescharacteristic
158#11762667C2211yescharacteristic
159#11762667C2211yescharacteristic
160#11762667C2211yescharacteristic, complemented
161#11762667C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic, complemented
163#11762665C2211yescharacteristic
164#11762665C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168C22⋊C4×Dic17C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#124C2211yescharacteristic, complemented
173C2×C17×C22⋊Q8C2211yescharacteristic
174C2×C17×#120C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C17×#397C2211yescharacteristic, complemented
177C17×#394C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#393C2211yescharacteristic, complemented
180C17×#390C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C17×#379C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17—24no—
196C22×C22⋊D17—42no—
197C22×C22⋊D17—42no—
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C23×Dic17—42no—
205C23×Dic17—42no—
206C23×Dic17—42no—
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C22×Dic34C2311yescharacteristic
216C22×Dic34C2311yescharacteristic
217C17×#124—42no—
218C17×C22⋊Q8—42no—
219C17×#120—42no—
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17—42no—
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊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×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
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
260#10587625—42no—
261#10587625—42no—
262#10587623—42no—
263#10587621—42no—
264#10587621—42no—
265D4×Dic17—24no—
266C2×#63227—42no—
267C2×#63227—42no—
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320#10587571—42no—
321#10587571—42no—
322#10587571—42no—
323#10587565—42no—
324#10587564—24no—
325#10587564—42no—
326#10587564—42no—
327#10587564—42no—
328#10587562—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
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
369C24×C17—22no—
370C24×C17—22no—
371C24×C17—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C2×Q8×C17—41no—
390C2×Q8×C17—41no—
391C2×Q8×C17—41no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C2×C22⋊D17—22no—
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—416no—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—22no—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—22no—
444C22×Dic17—22no—
445C22×Dic17—41no—
446C22×Dic17—41no—
447C22×Dic17—41no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17—41no—
458C22×Dic17—41no—
459C22×Dic17—41no—
460C22×Dic17—416no—
461C22×Dic17#4114yes—
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C2×Dic34—22no—
477C2×Dic34—22no—
478C2×Dic34—41no—
479C2×Dic34—41no—
480C2×Dic34—41no—
481C2×Dic34—41no—
482C4⋊C4×C17—41no—
483C4⋊C4×C17—41no—
484C4⋊C4×C17—41no—
485C22⋊C4×C17—22no—
486C22⋊C4×C17—22no—
487C22⋊C4×C17—22no—
488C22⋊C4×C17—22no—
489C22⋊C4×C17—22no—
490C22⋊C4×C17—22no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—41no—
493C22⋊C4×C17—41no—
494C22⋊C4×C17—41no—
495C22⋊C4×C17—41no—
496C22⋊C4×C17—41no—
497C22⋊C4×C17—41no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C42×C17—41no—
503C42×C17—41no—
504C22⋊Dic17—22no—
505C22⋊Dic17—22no—
506C22⋊Dic17—22no—
507C22⋊Dic17—22no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521#63227—22no—
522#63227—22no—
523#63227—41no—
524#63227—41no—
525#63227—41no—
526#63227—41no—
527#63227—41no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543C4⋊Dic17—22no—
544C4⋊Dic17—22no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550#63225—22no—
551#63225—22no—
552#63225—22no—
553#63225—22no—
554#63225—41no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568C4×Dic17—22no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36793—171nomaximal, Sylow
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—28no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—44no—
599C23×C17—44no—
600C23×C17—44no—
601C23×C17—44no—
602C23×C17—44no—
603C23×C17—44no—
604C23×C17C2×#4112yes—
605C23×C17H(5,𝔽2)12yes—
606C23×C17H(5,𝔽2)12yes—
607C23×C17H(5,𝔽2)12yes—
608C23×C172−1+412yes—
609C23×C17C2511yescharacteristic
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—44no—
625C22×D17—44no—
626C22×D17—44no—
627C22×D17—82no—
628C22×D17—82no—
629C22×D17—82no—
630C22×D17—82no—
631Q8×C17—82no—
632D4×C17—44no—
633D4×C17—82no—
634D4×C17—82no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
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—82no—
669C2×C4×C17—82no—
670C22⋊D17—44no—
671C22⋊D17—44no—
672C22⋊D17—44no—
673C22⋊D17—44no—
674C22⋊D17—82no—
675C22⋊D17—82no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—44no—
716C2×Dic17—44no—
717C2×Dic17—44no—
718C2×Dic17—44no—
719C2×Dic17—44no—
720C2×Dic17—44no—
721C2×Dic17—44no—
722C2×Dic17—82no—
723C2×Dic17C2×#4112yes—
724C2×Dic17C2×#4112yes—
725C2×Dic17H(5,𝔽2)12yes—
726Dic34—82no—
727Dic34—82no—
728#2849—171no—
729#2848—171no—
730#2796—171no—
731#2761—171no—
732#2757—171no—
733#2751—171no—
734#2737—171no—
735#2730—171no—
736#2723—171no—
737#2715—171no—
738#2712—171no—
739#2710—171no—
740#2705—171no—
741#2701—171no—
742#2700—171no—
743#2691—171no—
744#2686—171no—
745#2672—171no—
746#2626—171no—
747#2622—171no—
748#2564—171no—
749#2549—171no—
750#2480—171no—
751#2480—171no—
752#2472—171no—
753#2472D1711yescharacteristic, complemented
754#2435—171no—
755#2408—171no—
756#2329—171no—
757#2318—171no—
758C2×#386—171no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
770C22×C17—22no—
771C22×C17—416no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17#54214yes—
788C22×C17C22×#4111yescharacteristic
789C22×C17C2×H(5,𝔽2)11yescharacteristic
790C22×C17C2×H(5,𝔽2)11yescharacteristic
791C22×C17C2×H(5,𝔽2)11yescharacteristic
792C22×C17C2×H(5,𝔽2)11yescharacteristic
793C22×C17C2×2−1+411yescharacteristic
794C22×C17#58511yescharacteristic
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—88no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820C4×C17—41no—
821Dic17—22no—
822Dic17—22no—
823Dic17—22no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833Dic17—41no—
834Dic17—41no—
835C23×D4—171no—
836C24×C4—171no—
837C2×#126—171no—
838C2×#126—171no—
839C2×#124—171no—
840C2×#124—171no—
841C2×#124—171no—
842C2×#124C2×D1711yescharacteristic, complemented
843C2×#123—171no—
844C2×#123—171no—
845C2×C22⋊Q8—171no—
846C2×C22⋊Q8—171no—
847C2×C22⋊Q8—171no—
848C2×C22⋊Q8—171no—
849C2×C22⋊Q8C2×D1711yescharacteristic
850C2×#121—171no—
851C2×#121—171no—
852C2×#120—171no—
853C2×#120C2×D1711yescharacteristic
854C2×C4×D4—171no—
855C22×C22⋊C4—171no—
856C22×C22⋊C4—171no—
857C22×C22⋊C4C2×D1711yescharacteristic
858#400—171no—
859#399—171no—
860#399—171no—
861#399—171no—
862#398—171no—
863#398—171no—
864#397—171no—
865#397—171no—
866#397—171no—
867#397—171no—
868#397—171no—
869#397—171no—
870#397—171no—
871#397—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397C2×D1711yescharacteristic, complemented
876#396—171no—
877#396—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#396—171no—
882#395—171no—
883#395—171no—
884#395—171no—
885#394—171no—
886#394—171no—
887#394—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394C2×D1711yescharacteristic, complemented
898#394C2×D1711yescharacteristic, complemented
899#393—171no—
900#393—171no—
901#393—171no—
902#393—171no—
903#393C2×D1711yescharacteristic, complemented
904#392—171no—
905#392—171no—
906#391—171no—
907#391—171no—
908#391—171no—
909#391—171no—
910#390—171no—
911#390—171no—
912#390—171no—
913#390—171no—
914#390—171no—
915#390C2×D1711yescharacteristic, complemented
916#389—171no—
917#389—171no—
918#389—171no—
919#389—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#388C2×D1711yescharacteristic, complemented
931#388C2×D1711yescharacteristic, complemented
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387—171no—
937#387—171no—
938#387—171no—
939#387—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386C2×D1711yescharacteristic
953#386C2×D1711yescharacteristic
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#383—171no—
969#382—171no—
970#381—171no—
971#381—171no—
972#381—171no—
973#380—171no—
974#380—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#379—171no—
980#379—171no—
981#379—171no—
982#379—171no—
983#379—171no—
984#379C2×D1711yescharacteristic
985C4×C22⋊C4—171no—
986C4×C22⋊C4—171no—
987C4×C22⋊C4C2×D1711yescharacteristic
988C2×#95—171no—
989C2×#95—171no—
990C2×C17—24no—
991C2×C17—42no—
992C2×C17—42no—
993C2×C17—81no—
994C2×C17C2×#54211yescharacteristic
995C2×C17#349011yescharacteristic
996C2×C17#350611yescharacteristic
997C2×C17#353211yescharacteristic
998C2×C17#353411yescharacteristic
999C2×C17#353511yescharacteristic
1000C2×C17#353611yescharacteristic
1001D17—81no—
1002D17—81no—
1003C25—171no—
1004C25C22×D1711yescharacteristic
1005C22×Q8—171no—
1006C22×Q8—171no—
1007C22×Q8C22×D1711yescharacteristic
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—344no—
1015C22×D4—682no—
1016C22×D4—682no—
1017C22×D4C22×D1711yescharacteristic
1018C22×D4C22×D1711yescharacteristic
1019C22×D4C22×D1711yescharacteristic
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—171no—
1028C23×C4—682no—
1029C23×C4—682no—
1030C23×C4—682no—
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033#126—682no—
1034#126—682no—
1035#124—42no—
1036#124—682no—
1037#124—682no—
1038#124—682no—
1039#123—682no—
1040#123—682no—
1041C22⋊Q8—42no—
1042C22⋊Q8—344no—
1043C22⋊Q8—682no—
1044C22⋊Q8—682no—
1045C22⋊Q8—682no—
1046#121—682no—
1047#121—682no—
1048#120—42no—
1049#120—682no—
1050C4×D4—344no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4C22×D1711yescharacteristic
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—171no—
1081C2×C22⋊C4—171no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—682no—
1120C2×C22⋊C4—682no—
1121C2×C22⋊C4C22×D1711yescharacteristic
1122C2×C22⋊C4C22×D1711yescharacteristic
1123C2×C22⋊C4C22×D1711yescharacteristic
1124C2×C22⋊C4C22×D1711yescharacteristic
1125C2×C22⋊C4C22×D1711yescharacteristic
1126C2×C22⋊C4C22×D1711yescharacteristic
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C22⋊C4C22×D1711yescharacteristic
1135C2×C22⋊C4C22×D1711yescharacteristic
1136C2×C22⋊C4C22×D1711yescharacteristic
1137C2×C22⋊C4C22×D1711yescharacteristic
1138C2×C42—171no—
1139C2×C42—171no—
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—171no—
1143C2×C42C22×D1711yescharacteristic
1144C2×C42C22×D1711yescharacteristic
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182#95C22×D1711yescharacteristic
1183#95C22×D1711yescharacteristic
1184#95C22×D1711yescharacteristic
1185C17#3679311yescharacteristic, complemented, Sylow
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—171no—
1194C24—171no—
1195C24—342no—
1196C24—342no—
1197C24—342no—
1198C24—681no—
1199C24—681no—
1200C24—681no—
1201C24—681no—
1202C24C23×D1711yescharacteristic
1203C24C23×D1711yescharacteristic
1204C24C23×D1711yescharacteristic
1205C24C23×D1711yescharacteristic
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—342no—
1210C2×Q8—342no—
1211C2×Q8—681no—
1212C2×Q8—681no—
1213C2×Q8—681no—
1214C2×Q8—681no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—342no—
1225C2×D4—342no—
1226C2×D4—342no—
1227C2×D4—342no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—342no—
1232C2×D4—681no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—681no—
1239C2×D4—681no—
1240C2×D4—681no—
1241C2×D4—681no—
1242C2×D4—6816no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—174no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—6816no—
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—342no—
1303C4⋊C4—342no—
1304C4⋊C4—342no—
1305C4⋊C4—342no—
1306C4⋊C4—342no—
1307C4⋊C4—342no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C4⋊C4—681no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4—681no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4—681no—
1361C22⋊C4—681no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C42—41no—
1384C42—41no—
1385C42—342no—
1386C42—681no—
1387C42—681no—
1388C42—681no—
1389C42—681no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23—341no—
1432C23—341no—
1433C23—341no—
1434C23—684no—
1435C23—684no—
1436C23—684no—
1437C23—1362no—
1438C23—1362no—
1439C23—1362no—
1440C23—1362no—
1441C23#1058769112yes—
1442C23#1058769112yes—
1443C23#41×D1712yes—
1444C23#1058769612yes—
1445C23#1058769712yes—
1446C23C24×D1711yescharacteristic
1447Q8—82no—
1448Q8—1362no—
1449Q8—1362no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—684no—
1454D4—684no—
1455D4—684no—
1456D4—684no—
1457D4—1362no—
1458D4—1362no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—172no—
1495C2×C4—172no—
1496C2×C4—172no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—684no—
1537C2×C4—684no—
1538C2×C4—684no—
1539C2×C4—684no—
1540C2×C4—684no—
1541C2×C4—684no—
1542C2×C4—684no—
1543C2×C4—1362no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22—681no—
1583C22—681no—
1584C22—681no—
1585C22—681no—
1586C22—1368no—
1587C22#1176342314yes—
1588C22C2×#41×D1711yescharacteristic
1589C22H(5,𝔽2)×D1711yescharacteristic
1590C22C2×#1058769111yescharacteristic
1591C22C2×#1058769111yescharacteristic
1592C22C2×#1058769611yescharacteristic
1593C22C2×#1058769711yescharacteristic
1594C22#1176364411yescharacteristic
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—342no—
1607C4—342no—
1608C4—342no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C4—681no—
1616C4—681no—
1617C4—681no—
1618C4—681no—
1619C4—681no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—1361no—
1625C2—1361no—
1626C2C2×#1176342311yescharacteristic
1627C2#1454246711yescharacteristic
1628C2#1454263111yescharacteristic
1629C2#1454293311yescharacteristic
1630C2#1454296211yescharacteristic
1631C2#1454298911yescharacteristic
1632C2#1454299911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2472C2
prime radical#14532137C2
hypercenter#2472D17
hypocenterC17#36793
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. #14537074C2semidirect
2. #14537069C2semidirect
3. #14536624C2semidirect
4. #14536169C2semidirect
5. #14536114C2semidirect
6. #14536043C2semidirect
7. #14535845C2semidirect
8. #14535774C2semidirect
9. #14535707C2semidirect
10. #14535594C2semidirect
11. #14535550C2semidirect
12. #14535532C2semidirect
13. #14535460C2semidirect
14. #14535395C2semidirect
15. #14535380C2semidirect
16. #14535258C2semidirect
17. #14535184C2semidirect
18. #14535037C2semidirect
19. #14534591C2semidirect
20. #14534561C2semidirect
21. #14533968C2semidirect
22. #14533792C2semidirect
23. #14533030C2semidirect
24. #14533024C2semidirect
25. #14532912C2semidirect
26. #14532433C2semidirect
28. #14531512C2semidirect
29. #14531410C2semidirect
30. C2×#11762686C2semidirect
31. C17×#2472C2semidirect
34. C2×#10587562C22semidirect
35. C2×#10587565C22semidirect
38. C2×#10587571C22semidirect
39. C2×#10587621C22semidirect
40. C2×#10587621C22semidirect
43. C2×#10587564C22semidirect
44. C2×#10587564C22semidirect
51. #11762751C22semidirect
52. #11762745C22semidirect
53. #11762744C22semidirect
54. #11762744C22semidirect
55. #11762740C22semidirect
56. #11762739C22semidirect
57. #11762738C22semidirect
58. #11762738C22semidirect
59. #11762738C22semidirect
60. #11762738C22semidirect
61. #11762738C22semidirect
62. #11762738C22semidirect
63. #11762737C22semidirect
64. #11762737C22semidirect
65. #11762736C22semidirect
66. #11762736C22semidirect
67. #11762734C22semidirect
68. #11762733C22semidirect
69. #11762732C22semidirect
70. #11762731C22semidirect
71. #11762731C22semidirect
72. #11762731C22semidirect
73. #11762731C22semidirect
74. #11762730C22semidirect
75. #11762729C22semidirect
76. #11762728C22semidirect
81. #11762725C22semidirect
82. #11762725C22semidirect
83. #11762725C22semidirect
86. #11762724C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
89. #11762722C22semidirect
90. #11762721C22semidirect
91. #11762720C22semidirect
92. #11762720C22semidirect
95. #11762716C22semidirect
96. #11762715C22semidirect
97. #11762714C22semidirect
98. #11762713C22semidirect
103. #11762709C22semidirect
104. #11762707C22semidirect
105. #11762706C22semidirect
106. #11762704C22semidirect
107. #11762704C22semidirect
108. #11762703C22semidirect
109. #11762703C22semidirect
110. #11762702C22semidirect
111. #11762701C22semidirect
112. #11762700C22semidirect
113. #11762700C22semidirect
114. #11762700C22semidirect
115. #11762698C22semidirect
116. #11762697C22semidirect
117. #11762697C22semidirect
118. #11762696C22semidirect
119. #11762696C22semidirect
120. #11762694C22semidirect
121. #11762693C22semidirect
122. #11762693C22semidirect
123. #11762692C22semidirect
124. #11762692C22semidirect
125. #11762692C22semidirect
128. #11762689C22semidirect
129. #11762689C22semidirect
139. #11762684C22semidirect
140. #11762684C22semidirect
141. #11762684C22semidirect
147. #11762681C22semidirect
148. #11762681C22semidirect
149. #11762681C22semidirect
150. #11762681C22semidirect
151. #11762681C22semidirect
152. #11762676C22semidirect
153. #11762673C22semidirect
154. #11762670C22semidirect
155. #11762670C22semidirect
156. #11762670C22semidirect
160. #11762667C22semidirect
161. #11762667C22semidirect
162. #11762667C22semidirect
172. C2×C17×#124C22semidirect
176. C17×#397C22semidirect
177. C17×#394C22semidirect
178. C17×#394C22semidirect
179. C17×#393C22semidirect
180. C17×#390C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
753. #2472D17semidirect
842. C2×#124C2×D17semidirect
875. #397C2×D17semidirect
897. #394C2×D17semidirect
898. #394C2×D17semidirect
903. #393C2×D17semidirect
915. #390C2×D17semidirect
930. #388C2×D17semidirect
931. #388C2×D17semidirect
1185. C17#36793semidirect

Maximal subgroups

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

subgroupindex
#145370742
#145370692
#145366242
#145361692
#145361142
#145360432
#145358452
#145357742
#145357072
#145355942
#145355502
#145355322
#145354602
#145353952
#145353802
#145352582
#145351842
#145350372
#145345912
#145345612
#145339682
#145337922
#145330302
#145330242
#145329122
#145324332
#145321372
#145315122
#145314102
C2×#117626862
C17×#24722
#3679317