Finite Group Databasebeta

← #17242193

Subgroups — #17242193

Order 4352.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537069C211yesmaximal, characteristic, complemented
2#14537064C211yesmaximal, characteristic, complemented
3#14536647C211yesmaximal, characteristic, complemented
4#14536440C211yesmaximal, characteristic, complemented
5#14536410C211yesmaximal, characteristic, complemented
6#14536404C211yesmaximal, characteristic, complemented
7#14536395C211yesmaximal, characteristic, complemented
8#14536099C211yesmaximal, characteristic, complemented
9#14536063C211yesmaximal, characteristic, complemented
10#14536009C211yesmaximal, characteristic, complemented
11#14535904C211yesmaximal, characteristic, complemented
12#14535783C211yesmaximal, characteristic, complemented
13#14535582C211yesmaximal, characteristic, complemented
14#14535420C211yesmaximal, characteristic, complemented
15#14535405C211yesmaximal, characteristic, complemented
16#14535340C211yesmaximal, characteristic, complemented
17#14535226C211yesmaximal, characteristic, complemented
18#14535078C211yesmaximal, characteristic, complemented
19#14534496C211yesmaximal, characteristic, complemented
20#14533165C211yesmaximal, characteristic, complemented
21#14533106C211yesmaximal, characteristic, complemented
22#14533027C211yesmaximal, characteristic, complemented
23#14532909C211yesmaximal, characteristic, complemented
24#14532331C211yesmaximal, characteristic, complemented
25#14532324C211yesmaximal, characteristic, complemented
26#14532257C211yesmaximal, characteristic, complemented
27#14532250C211yesmaximal, characteristic, complemented
28#14531445C211yesmaximal, characteristic, complemented
29#14531439C211yesmaximal, characteristic, complemented
30C2×#11762689C211yesmaximal, characteristic, complemented
31C17×#2613C211yesmaximal, characteristic, complemented
32C24×Dic17C2211yescharacteristic
33C2×#10587565C2211yescharacteristic, complemented
34C2×#10587622C2211yescharacteristic, complemented
35C2×#10587615C2211yescharacteristic
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587564C2211yescharacteristic
38C2×#10587564C2211yescharacteristic, complemented
39C2×#10587564C2211yescharacteristic, complemented
40C2×#10587625C2211yescharacteristic
41C2×#10587625C2211yescharacteristic, complemented
42C2×#10587625C2211yescharacteristic, complemented
43C2×#10587625C2211yescharacteristic, complemented
44C2×#10587639C2211yescharacteristic
45C2×#10587639C2211yescharacteristic
46C2×D4×Dic17C2211yescharacteristic
47C2×#10587567C2211yescharacteristic
48C22×C22⋊Dic17C2211yescharacteristic
49C22×C22⋊Dic17C2211yescharacteristic
50C22×C22⋊Dic17C2211yescharacteristic
51C17⋊#401C2211yescharacteristic, complemented
52#11762751C2211yescharacteristic, complemented
53#11762751C2211yescharacteristic, complemented
54#11762750C2211yescharacteristic, complemented
55#11762750C2211yescharacteristic, complemented
56#11762749C2211yescharacteristic, complemented
57#11762748C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic, complemented
59#11762740C2211yescharacteristic, complemented
60#11762739C2211yescharacteristic, complemented
61#11762738C2211yescharacteristic, complemented
62#11762737C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762735C2211yescharacteristic, complemented
68#11762734C2211yescharacteristic, complemented
69#11762734C2211yescharacteristic, complemented
70#11762732C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762725C2211yescharacteristic, complemented
74#11762725C2211yescharacteristic, complemented
75#11762725C2211yescharacteristic, complemented
76#11762724C2211yescharacteristic, complemented
77#11762723C2211yescharacteristic
78#11762723C2211yescharacteristic
79#11762723C2211yescharacteristic
80#11762723C2211yescharacteristic
81#11762723C2211yescharacteristic, complemented
82#11762723C2211yescharacteristic, complemented
83#11762723C2211yescharacteristic, complemented
84#11762722C2211yescharacteristic, complemented
85#11762721C2211yescharacteristic, complemented
86#11762717C2211yescharacteristic
87#11762717C2211yescharacteristic
88#11762717C2211yescharacteristic
89#11762717C2211yescharacteristic
90#11762717C2211yescharacteristic, complemented
91#11762713C2211yescharacteristic, complemented
92#11762712C2211yescharacteristic, complemented
93#11762712C2211yescharacteristic, complemented
94#11762712C2211yescharacteristic, complemented
95#11762709C2211yescharacteristic, complemented
96#11762709C2211yescharacteristic, complemented
97#11762709C2211yescharacteristic, complemented
98#11762705C2211yescharacteristic, complemented
99#11762703C2211yescharacteristic, complemented
100#11762703C2211yescharacteristic, complemented
101#11762703C2211yescharacteristic, complemented
102#11762703C2211yescharacteristic, complemented
103#11762703C2211yescharacteristic, complemented
104#11762703C2211yescharacteristic, complemented
105#11762703C2211yescharacteristic, complemented
106#11762702C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762702C2211yescharacteristic, complemented
109#11762702C2211yescharacteristic, complemented
110#11762702C2211yescharacteristic, complemented
111#11762702C2211yescharacteristic, complemented
112#11762701C2211yescharacteristic, complemented
113#11762698C2211yescharacteristic, complemented
114#11762697C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic, complemented
117#11762697C2211yescharacteristic, complemented
118#11762696C2211yescharacteristic, complemented
119#11762694C2211yescharacteristic, complemented
120#11762691C2211yescharacteristic, complemented
121#11762690C2211yescharacteristic, complemented
122#11762690C2211yescharacteristic, complemented
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic
125#11762689C2211yescharacteristic
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic
129#11762689C2211yescharacteristic
130#11762689C2211yescharacteristic
131#11762689C2211yescharacteristic
132#11762689C2211yescharacteristic
133#11762689C2211yescharacteristic, complemented
134#11762689C2211yescharacteristic, complemented
135#11762689C2211yescharacteristic, complemented
136#11762689C2211yescharacteristic, complemented
137#11762689C2211yescharacteristic, complemented
138#11762686C2211yescharacteristic
139#11762686C2211yescharacteristic
140#11762686C2211yescharacteristic, complemented
141#11762686C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762684C2211yescharacteristic
147#11762684C2211yescharacteristic
148#11762684C2211yescharacteristic, complemented
149#11762684C2211yescharacteristic, complemented
150#11762681C2211yescharacteristic
151#11762681C2211yescharacteristic
152#11762681C2211yescharacteristic, complemented
153#11762681C2211yescharacteristic, complemented
154#11762681C2211yescharacteristic, complemented
155#11762676C2211yescharacteristic, complemented
156#11762673C2211yescharacteristic, complemented
157#11762672C2211yescharacteristic
158#11762670C2211yescharacteristic, complemented
159#11762667C2211yescharacteristic
160#11762667C2211yescharacteristic
161#11762667C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic, complemented
163#11762667C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic, complemented
165#11762666C2211yescharacteristic, complemented
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168C22⋊C4×Dic17C2211yescharacteristic
169C22⋊C4×Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C23×D4×C17C2211yescharacteristic
173C2×C17×#123C2211yescharacteristic
174C2×C17×#120C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C17×#394C2211yescharacteristic
177C17×#394C2211yescharacteristic
178C17×#394C2211yescharacteristic
179C17×#394C2211yescharacteristic
180C17×#392C2211yescharacteristic
181C17×#392C2211yescharacteristic
182C17×#392C2211yescharacteristic
183C17×#392C2211yescharacteristic
184C17×#381C2211yescharacteristic
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×D4×C17—24no—
190C22×D4×C17—42no—
191C22×D4×C17—42no—
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C23×Dic17—42no—
209C23×Dic17—42no—
210C23×Dic17—42no—
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×Dic34C2311yescharacteristic
222C17×#123—42no—
223C17×#120—24no—
224C17×#120—42no—
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244#10587639—24no—
245#10587639—42no—
246C2×C22⋊Dic17—42no—
247C2×C22⋊Dic17—42no—
248C2×C22⋊Dic17—42no—
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
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282#10587625—42no—
283#10587625—42no—
284#10587625—42no—
285#10587625—42no—
286#10587622—42no—
287D4×Dic17—42no—
288#10587615—42no—
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
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×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323#10587569—42no—
324#10587567—42no—
325#10587565—42no—
326#10587564—42no—
327#10587564—42no—
328#10587564—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
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×C17—41no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17#4114yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C24×C17C2411yescharacteristic
389C23×D17C2411yescharacteristic
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—416no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
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
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C22×Dic17—22no—
449C22×Dic17—22no—
450C22×Dic17—22no—
451C22×Dic17—22no—
452C22×Dic17—22no—
453C22×Dic17—22no—
454C22×Dic17—22no—
455C22×Dic17—22no—
456C22×Dic17—22no—
457C22×Dic17—22no—
458C22×Dic17—41no—
459C22×Dic17—41no—
460C22×Dic17—41no—
461C22×Dic17—41no—
462C22×Dic17—41no—
463C22×Dic17—41no—
464C22×Dic17—41no—
465C22×Dic17—41no—
466C22×Dic17—41no—
467C22×Dic17—41no—
468C22×Dic17—41no—
469C22×Dic17—41no—
470C22×Dic17—41no—
471C22×Dic17—41no—
472C22×Dic17—41no—
473C22×Dic17—41no—
474C22×Dic17—41no—
475C22×Dic17—416no—
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×Dic34—22no—
495C2×Dic34—41no—
496C2×Dic34—41no—
497C4⋊C4×C17—41no—
498C4⋊C4×C17—41no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—22no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17—41no—
515C22⋊C4×C17—41no—
516C22⋊Dic17—22no—
517C22⋊Dic17—22no—
518C22⋊Dic17—22no—
519C22⋊Dic17—22no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—22no—
523C22⋊Dic17—22no—
524C22⋊Dic17—22no—
525C22⋊Dic17—22no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533C22⋊Dic17—41no—
534C22⋊Dic17—41no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537C22⋊Dic17—41no—
538C22⋊Dic17—41no—
539C22⋊Dic17—41no—
540C22⋊Dic17—41no—
541C22⋊Dic17—41no—
542C22⋊Dic17—41no—
543C22⋊Dic17—41no—
544C22⋊Dic17—41no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549#63227—22no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557C4⋊Dic17—22no—
558C4⋊Dic17—41no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561C4⋊Dic17—41no—
562C4⋊Dic17—41no—
563#63225—22no—
564#63225—22no—
565#63225—22no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225—41no—
573#63225—41no—
574#63225—41no—
575#63225—41no—
576#63225—41no—
577C4×Dic17—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583#36758—171nomaximal, Sylow
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—28no—
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—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—44no—
623C23×C17—44no—
624C23×C17—44no—
625C23×C17—44no—
626C23×C17—44no—
627C23×C17—44no—
628C23×C17—44no—
629C23×C17—44no—
630C23×C17—44no—
631C23×C17—82no—
632C23×C17—82no—
633C23×C17—82no—
634C23×C17—82no—
635C23×C17C2×#4112yes—
636C23×C17C2×#4112yes—
637C23×C17C2×#4112yes—
638C23×C17H(5,𝔽2)12yes—
639C23×C17H(5,𝔽2)12yes—
640C23×C17C2511yescharacteristic
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648D4×C17—44no—
649D4×C17—44no—
650D4×C17—44no—
651D4×C17—44no—
652D4×C17—44no—
653D4×C17—82no—
654D4×C17—82no—
655D4×C17—82no—
656D4×C17—82no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—44no—
685C22⋊D17—44no—
686C22⋊D17—82no—
687C22⋊D17—82no—
688C22⋊D17—82no—
689C22⋊D17—82no—
690C22⋊D17—82no—
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—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—44no—
735C2×Dic17—44no—
736C2×Dic17—44no—
737C2×Dic17—44no—
738C2×Dic17—44no—
739C2×Dic17—44no—
740C2×Dic17—82no—
741C2×Dic17—82no—
742C2×Dic17—82no—
743C2×Dic17H(5,𝔽2)12yes—
744C2×Dic17H(5,𝔽2)12yes—
745C4×D17—82no—
746Dic34—82no—
747#2848—171no—
748#2847—171no—
749#2797—171no—
750#2781—171no—
751#2779—171no—
752#2778—171no—
753#2778—171no—
754#2756—171no—
755#2753—171no—
756#2749—171no—
757#2741—171no—
758#2730—171no—
759#2714—171no—
760#2703—171no—
761#2702—171no—
762#2696—171no—
763#2688—171no—
764#2676—171no—
765#2613—171no—
766#2613D1711yescharacteristic, complemented
767#2493—171no—
768#2488—171no—
769#2480—171no—
770#2472—171no—
771#2425—171no—
772#2424—171no—
773#2419—171no—
774#2418—171no—
775#2321—171no—
776#2321—171no—
777C2×#386—171no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
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×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17—88no—
821C22×C17#53814yes—
822C22×C17C22×#4111yescharacteristic
823C22×C17C2×H(5,𝔽2)11yescharacteristic
824C22×C17C2×H(5,𝔽2)11yescharacteristic
825C22×C17C2×H(5,𝔽2)11yescharacteristic
826C22×C17C2×H(5,𝔽2)11yescharacteristic
827C22×C17#58511yescharacteristic
828C22×C17#58511yescharacteristic
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—41no—
835C2×D17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844C4×C17—41no—
845Dic17—22no—
846Dic17—22no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856Dic17—41no—
857Dic17—41no—
858Dic17—41no—
859Dic17—41no—
860C23×D4C2×D1711yescharacteristic
861C24×C4—171no—
862C2×#126—171no—
863C2×#124—171no—
864C2×#123—171no—
865C2×#123—171no—
866C2×#123C2×D1711yescharacteristic
867C2×C22⋊Q8—171no—
868C2×C22⋊Q8—171no—
869C2×C22⋊Q8—171no—
870C2×#121—171no—
871C2×#121—171no—
872C2×#121—171no—
873C2×#121—171no—
874C2×#120—171no—
875C2×#120—171no—
876C2×#120C2×D1711yescharacteristic
877C2×#120C2×D1711yescharacteristic
878C2×C4×D4—171no—
879C2×C4×D4—171no—
880C22×C22⋊C4—171no—
881C22×C22⋊C4—171no—
882C22×C22⋊C4—171no—
883#401—171no—
884#400—171no—
885#400—171no—
886#400—171no—
887#400—171no—
888#400—171no—
889#400—171no—
890#399—171no—
891#398—171no—
892#398—171no—
893#397—171no—
894#397—171no—
895#397—171no—
896#397—171no—
897#397—171no—
898#397—171no—
899#397—171no—
900#397—171no—
901#397—171no—
902#396—171no—
903#396—171no—
904#396—171no—
905#394—171no—
906#394—171no—
907#394—171no—
908#394—171no—
909#394—171no—
910#394—171no—
911#394—171no—
912#394—171no—
913#394—171no—
914#394—171no—
915#394—171no—
916#394C2×D1711yescharacteristic
917#394C2×D1711yescharacteristic
918#394C2×D1711yescharacteristic
919#394C2×D1711yescharacteristic
920#393—171no—
921#393—171no—
922#392—171no—
923#392—171no—
924#392—171no—
925#392—171no—
926#392—171no—
927#392C2×D1711yescharacteristic
928#392C2×D1711yescharacteristic
929#392C2×D1711yescharacteristic
930#392C2×D1711yescharacteristic
931#391—171no—
932#390—171no—
933#390—171no—
934#390—171no—
935#390—171no—
936#390—171no—
937#390—171no—
938#389—171no—
939#388—171no—
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388—171no—
948#388—171no—
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#387—171no—
959#387—171no—
960#387—171no—
961#387—171no—
962#387—171no—
963#386—171no—
964#386—171no—
965#386—171no—
966#386—171no—
967#386—171no—
968#386—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#386—171no—
984#386—171no—
985#386—171no—
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#383—171no—
996#382—171no—
997#381—171no—
998#381—171no—
999#381C2×D1711yescharacteristic
1000#380—171no—
1001#380—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#380—171no—
1007#379—171no—
1008#379—171no—
1009#379C2×D1711yescharacteristic
1010#379C2×D1711yescharacteristic
1011C4×C22⋊C4—171no—
1012C4×C22⋊C4—171no—
1013C2×#95—171no—
1014C2×#95—171no—
1015C2×C17—24no—
1016C2×C17—42no—
1017C2×C17—42no—
1018C2×C17—81no—
1019C2×C17—81no—
1020C2×C17—81no—
1021C2×C17C2×#53811yescharacteristic
1022C2×C17#350511yescharacteristic
1023C2×C17#350511yescharacteristic
1024C2×C17#353211yescharacteristic
1025C2×C17#353311yescharacteristic
1026C2×C17#354211yescharacteristic
1027C2×C17#354211yescharacteristic
1028D17—81no—
1029C25C22×D1711yescharacteristic
1030C25C22×D1711yescharacteristic
1031C22×Q8—171no—
1032C22×D4—24no—
1033C22×D4—42no—
1034C22×D4—42no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—171no—
1041C22×D4C22×D1711yescharacteristic
1042C22×D4C22×D1711yescharacteristic
1043C22×D4C22×D1711yescharacteristic
1044C22×D4C22×D1711yescharacteristic
1045C22×D4C22×D1711yescharacteristic
1046C22×D4C22×D1711yescharacteristic
1047C22×D4C22×D1711yescharacteristic
1048C22×D4C22×D1711yescharacteristic
1049C22×D4C22×D1711yescharacteristic
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4—171no—
1056C23×C4—171no—
1057C23×C4—171no—
1058C23×C4—171no—
1059C23×C4—171no—
1060C23×C4—682no—
1061C23×C4—682no—
1062C23×C4—682no—
1063C23×C4C22×D1711yescharacteristic
1064#126—682no—
1065#124—682no—
1066#123—42no—
1067#123—682no—
1068#123—682no—
1069C22⋊Q8—682no—
1070C22⋊Q8—682no—
1071C22⋊Q8—682no—
1072#121—682no—
1073#121—682no—
1074#121—682no—
1075#121—682no—
1076#120—24no—
1077#120—42no—
1078#120—344no—
1079#120—682no—
1080C4×D4—682no—
1081C4×D4—682no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—171no—
1100C2×C4⋊C4—171no—
1101C2×C4⋊C4—171no—
1102C2×C4⋊C4C22×D1711yescharacteristic
1103C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
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—682no—
1146C2×C22⋊C4—682no—
1147C2×C22⋊C4—682no—
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4C22×D1711yescharacteristic
1154C2×C22⋊C4C22×D1711yescharacteristic
1155C2×C22⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4C22×D1711yescharacteristic
1158C2×C22⋊C4C22×D1711yescharacteristic
1159C2×C22⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4C22×D1711yescharacteristic
1161C2×C22⋊C4C22×D1711yescharacteristic
1162C2×C22⋊C4C22×D1711yescharacteristic
1163C2×C22⋊C4C22×D1711yescharacteristic
1164C2×C22⋊C4C22×D1711yescharacteristic
1165C2×C42—171no—
1166C2×C42—171no—
1167C2×C42—171no—
1168C2×C42—171no—
1169C2×C42—171no—
1170C2×C42—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#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—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#95C22×D1711yescharacteristic
1208#95C22×D1711yescharacteristic
1209#95C22×D1711yescharacteristic
1210#95C22×D1711yescharacteristic
1211C17#3675811yescharacteristic, complemented, Sylow
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—171no—
1226C24#6325414yes—
1227C24C23×D1711yescharacteristic
1228C24C23×D1711yescharacteristic
1229C24C23×D1711yescharacteristic
1230C24C23×D1711yescharacteristic
1231C24C23×D1711yescharacteristic
1232C24C23×D1711yescharacteristic
1233C2×Q8—342no—
1234C2×Q8—681no—
1235C2×Q8—681no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—416no—
1264C2×D4—342no—
1265C2×D4—342no—
1266C2×D4—342no—
1267C2×D4—342no—
1268C2×D4—342no—
1269C2×D4—342no—
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—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—171no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—171no—
1298C22×C4—171no—
1299C22×C4—171no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—681no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—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—6816no—
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C22×C4C23×D1711yescharacteristic
1338C22×C4C23×D1711yescharacteristic
1339C22×C4C23×D1711yescharacteristic
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—342no—
1343C4⋊C4—342no—
1344C4⋊C4—342no—
1345C4⋊C4—342no—
1346C4⋊C4—681no—
1347C4⋊C4—681no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4—681no—
1354C4⋊C4—681no—
1355C4⋊C4—681no—
1356C4⋊C4—681no—
1357C4⋊C4—681no—
1358C4⋊C4—681no—
1359C4⋊C4—681no—
1360C4⋊C4—681no—
1361C4⋊C4—681no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—342no—
1380C22⋊C4—342no—
1381C22⋊C4—342no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
1384C22⋊C4—342no—
1385C22⋊C4—342no—
1386C22⋊C4—342no—
1387C22⋊C4—342no—
1388C22⋊C4—342no—
1389C22⋊C4—342no—
1390C22⋊C4—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—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C22⋊C4—681no—
1408C22⋊C4—681no—
1409C22⋊C4—681no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4—681no—
1418C22⋊C4—681no—
1419C22⋊C4—681no—
1420C42—681no—
1421C42—681no—
1422C42—681no—
1423C42—681no—
1424C42—681no—
1425C42—681no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—82no—
1477C23—341no—
1478C23—341no—
1479C23—341no—
1480C23—341no—
1481C23—341no—
1482C23—341no—
1483C23—341no—
1484C23C2×#6325412yes—
1485C23C2×#6325412yes—
1486C23C2×#6325412yes—
1487C23#1058769112yes—
1488C23#1058769112yes—
1489C23C24×D1711yescharacteristic
1490Q8—1362no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—44no—
1496D4—82no—
1497D4—82no—
1498D4—82no—
1499D4—82no—
1500D4—684no—
1501D4—1362no—
1502D4—1362no—
1503D4—1362no—
1504D4—1362no—
1505D4—1362no—
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—44no—
1534C2×C4—172no—
1535C2×C4—172no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—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—684no—
1583C2×C4—684no—
1584C2×C4—684no—
1585C2×C4—1362no—
1586C2×C4—1362no—
1587C2×C4—1362no—
1588C2×C4—1362no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—88no—
1632C22—681no—
1633C22—681no—
1634C22—681no—
1635C22—681no—
1636C22—681no—
1637C22—681no—
1638C22—681no—
1639C22#1176339414yes—
1640C22C22×#6325411yescharacteristic
1641C22H(5,𝔽2)×D1711yescharacteristic
1642C22H(5,𝔽2)×D1711yescharacteristic
1643C22C2×#1058769111yescharacteristic
1644C22C2×#1058769111yescharacteristic
1645C22#1176364411yescharacteristic
1646C22#1176364411yescharacteristic
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—342no—
1657C4—342no—
1658C4—681no—
1659C4—681no—
1660C4—681no—
1661C4—681no—
1662C4—681no—
1663C4—681no—
1664C4—681no—
1665C4—681no—
1666C4—681no—
1667C4—681no—
1668C4—681no—
1669C4—681no—
1670C4—681no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—1361no—
1678C2C2×#1176339411yescharacteristic
1679C2#1454262111yescharacteristic
1680C2#1454262111yescharacteristic
1681C2#1454293611yescharacteristic
1682C2#1454294511yescharacteristic
1683C2#1454308711yescharacteristic
1684C2#1454308711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2613C2
hypercenter#2613D17
hypocenterC17#36758
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2613

Complements

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

NH ≅ G/Ntype
1. #14537069C2semidirect
2. #14537064C2semidirect
3. #14536647C2semidirect
4. #14536440C2semidirect
5. #14536410C2semidirect
6. #14536404C2semidirect
7. #14536395C2semidirect
8. #14536099C2semidirect
9. #14536063C2semidirect
10. #14536009C2semidirect
11. #14535904C2semidirect
12. #14535783C2semidirect
13. #14535582C2semidirect
14. #14535420C2semidirect
15. #14535405C2semidirect
16. #14535340C2semidirect
17. #14535226C2semidirect
18. #14535078C2semidirect
19. #14534496C2semidirect
20. #14533165C2semidirect
21. #14533106C2semidirect
22. #14533027C2semidirect
23. #14532909C2semidirect
24. #14532331C2semidirect
25. #14532324C2semidirect
26. #14532257C2semidirect
27. #14532250C2semidirect
28. #14531445C2semidirect
29. #14531439C2semidirect
30. C2×#11762689C2semidirect
31. C17×#2613C2semidirect
33. C2×#10587565C22semidirect
34. C2×#10587622C22semidirect
36. C2×#10587569C22semidirect
38. C2×#10587564C22semidirect
39. C2×#10587564C22semidirect
41. C2×#10587625C22semidirect
42. C2×#10587625C22semidirect
43. C2×#10587625C22semidirect
51. C17⋊#401C22semidirect
52. #11762751C22semidirect
53. #11762751C22semidirect
54. #11762750C22semidirect
55. #11762750C22semidirect
56. #11762749C22semidirect
57. #11762748C22semidirect
58. #11762745C22semidirect
59. #11762740C22semidirect
60. #11762739C22semidirect
61. #11762738C22semidirect
62. #11762737C22semidirect
63. #11762737C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762735C22semidirect
68. #11762734C22semidirect
69. #11762734C22semidirect
70. #11762732C22semidirect
71. #11762732C22semidirect
72. #11762732C22semidirect
73. #11762725C22semidirect
74. #11762725C22semidirect
75. #11762725C22semidirect
76. #11762724C22semidirect
81. #11762723C22semidirect
82. #11762723C22semidirect
83. #11762723C22semidirect
84. #11762722C22semidirect
85. #11762721C22semidirect
90. #11762717C22semidirect
91. #11762713C22semidirect
92. #11762712C22semidirect
93. #11762712C22semidirect
94. #11762712C22semidirect
95. #11762709C22semidirect
96. #11762709C22semidirect
97. #11762709C22semidirect
98. #11762705C22semidirect
99. #11762703C22semidirect
100. #11762703C22semidirect
101. #11762703C22semidirect
102. #11762703C22semidirect
103. #11762703C22semidirect
104. #11762703C22semidirect
105. #11762703C22semidirect
106. #11762702C22semidirect
107. #11762702C22semidirect
108. #11762702C22semidirect
109. #11762702C22semidirect
110. #11762702C22semidirect
111. #11762702C22semidirect
112. #11762701C22semidirect
113. #11762698C22semidirect
114. #11762697C22semidirect
115. #11762697C22semidirect
116. #11762697C22semidirect
117. #11762697C22semidirect
118. #11762696C22semidirect
119. #11762694C22semidirect
120. #11762691C22semidirect
121. #11762690C22semidirect
122. #11762690C22semidirect
133. #11762689C22semidirect
134. #11762689C22semidirect
135. #11762689C22semidirect
136. #11762689C22semidirect
137. #11762689C22semidirect
140. #11762686C22semidirect
141. #11762686C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
148. #11762684C22semidirect
149. #11762684C22semidirect
152. #11762681C22semidirect
153. #11762681C22semidirect
154. #11762681C22semidirect
155. #11762676C22semidirect
156. #11762673C22semidirect
158. #11762670C22semidirect
161. #11762667C22semidirect
162. #11762667C22semidirect
163. #11762667C22semidirect
164. #11762667C22semidirect
165. #11762666C22semidirect
766. #2613D17semidirect
1211. C17#36758semidirect

Maximal subgroups

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

subgroupindex
#145370692
#145370642
#145366472
#145364402
#145364102
#145364042
#145363952
#145360992
#145360632
#145360092
#145359042
#145357832
#145355822
#145354202
#145354052
#145353402
#145352262
#145350782
#145344962
#145331652
#145331062
#145330272
#145329092
#145323312
#145323242
#145322572
#145322502
#145314452
#145314392
C2×#117626892
C17×#26132
#3675817