Finite Group Databasebeta

← #17241372

Subgroups — #17241372

Order 4352.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763401C211yesmaximal, characteristic, complemented
2#14537076C211yesmaximal, characteristic, complemented
3#14537071C211yesmaximal, characteristic, complemented
4#14535483C211yesmaximal, characteristic, complemented
5#14535468C211yesmaximal, characteristic, complemented
6#14535438C211yesmaximal, characteristic, complemented
7#14535423C211yesmaximal, characteristic, complemented
8#14535393C211yesmaximal, characteristic, complemented
9#14535354C211yesmaximal, characteristic, complemented
10#14535345C211yesmaximal, characteristic, complemented
11#14535171C211yesmaximal, characteristic, complemented
12#14535154C211yesmaximal, characteristic, complemented
13#14535145C211yesmaximal, characteristic, complemented
14#14535136C211yesmaximal, characteristic, complemented
15#14535130C211yesmaximal, characteristic, complemented
16#14535123C211yesmaximal, characteristic, complemented
17#14535121C211yesmaximal, characteristic, complemented
18#14535109C211yesmaximal, characteristic, complemented
19#14535105C211yesmaximal, characteristic, complemented
20#14534701C211yesmaximal, characteristic, complemented
21#14534621C211yesmaximal, characteristic, complemented
22#14534482C211yesmaximal, characteristic, complemented
23#14534405C211yesmaximal, characteristic, complemented
24#14534381C211yesmaximal, characteristic, complemented
25#14534366C211yesmaximal, characteristic, complemented
26#14534127C211yesmaximal, characteristic, complemented
27#14533980C211yesmaximal, characteristic, complemented
28#14532123C211yesmaximal, characteristic, complemented
29#14532115C211yesmaximal, characteristic, complemented
30#14531427C211yesmaximal, characteristic, complemented
31C2×C17×#525C211yesmaximal, characteristic, complemented
32#11763401—28no—
33C2×#10587562C2211yescharacteristic, complemented
34C2×#10587565C2211yescharacteristic
35C2×#10587556C2211yescharacteristic, complemented
36C2×#10587575C2211yescharacteristic, complemented
37C2×#10587572C2211yescharacteristic, complemented
38C2×#10587615C2211yescharacteristic
39C2×#10587615C2211yescharacteristic
40C2×#10587569C2211yescharacteristic
41C2×#10587621C2211yescharacteristic
42C2×#10587621C2211yescharacteristic
43C2×#10587621C2211yescharacteristic, complemented
44C2×#10587610C2211yescharacteristic
45C2×#10587610C2211yescharacteristic
46C2×#10587610C2211yescharacteristic
47C2×#10587582C2211yescharacteristic, complemented
48C2×#10587564C2211yescharacteristic, complemented
49C2×#10587632C2211yescharacteristic, complemented
50C2×#10587625C2211yescharacteristic
51C2×#10587624C2211yescharacteristic
52C2×#10587639C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic, complemented
54C22×#63225C2211yescharacteristic, complemented
55#11762748C2211yescharacteristic, complemented
56#11762745C2211yescharacteristic
57#11762742C2211yescharacteristic, complemented
58#11762742C2211yescharacteristic, complemented
59#11762742C2211yescharacteristic, complemented
60#11762742C2211yescharacteristic, complemented
61#11762740C2211yescharacteristic, complemented
62#11762739C2211yescharacteristic, complemented
63#11762739C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic
65#11762737C2211yescharacteristic
66#11762737C2211yescharacteristic
67#11762737C2211yescharacteristic, complemented
68#11762735C2211yescharacteristic, complemented
69#11762734C2211yescharacteristic
70#11762734C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic
72#11762732C2211yescharacteristic
73#11762732C2211yescharacteristic
74#11762732C2211yescharacteristic
75#11762732C2211yescharacteristic
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762731C2211yescharacteristic, complemented
80#11762731C2211yescharacteristic, complemented
81#11762729C2211yescharacteristic, complemented
82#11762728C2211yescharacteristic, complemented
83#11762728C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic
85#11762725C2211yescharacteristic, complemented
86#11762724C2211yescharacteristic
87#11762724C2211yescharacteristic, complemented
88#11762723C2211yescharacteristic
89#11762723C2211yescharacteristic
90#11762723C2211yescharacteristic
91#11762723C2211yescharacteristic
92#11762723C2211yescharacteristic
93#11762723C2211yescharacteristic
94#11762723C2211yescharacteristic
95#11762723C2211yescharacteristic
96#11762723C2211yescharacteristic, complemented
97#11762721C2211yescharacteristic, complemented
98#11762717C2211yescharacteristic
99#11762717C2211yescharacteristic
100#11762717C2211yescharacteristic
101#11762717C2211yescharacteristic
102#11762717C2211yescharacteristic, complemented
103#11762716C2211yescharacteristic, complemented
104#11762712C2211yescharacteristic
105#11762712C2211yescharacteristic
106#11762712C2211yescharacteristic
107#11762712C2211yescharacteristic
108#11762712C2211yescharacteristic
109#11762709C2211yescharacteristic
110#11762709C2211yescharacteristic
111#11762709C2211yescharacteristic, complemented
112#11762708C2211yescharacteristic, complemented
113#11762708C2211yescharacteristic, complemented
114#11762704C2211yescharacteristic, complemented
115#11762704C2211yescharacteristic, complemented
116#11762704C2211yescharacteristic, complemented
117#11762703C2211yescharacteristic
118#11762703C2211yescharacteristic
119#11762703C2211yescharacteristic
120#11762703C2211yescharacteristic
121#11762703C2211yescharacteristic, complemented
122#11762702C2211yescharacteristic
123#11762702C2211yescharacteristic
124#11762702C2211yescharacteristic, complemented
125#11762702C2211yescharacteristic, complemented
126#11762700C2211yescharacteristic, complemented
127#11762699C2211yescharacteristic, complemented
128#11762697C2211yescharacteristic
129#11762693C2211yescharacteristic, complemented
130#11762693C2211yescharacteristic, complemented
131#11762693C2211yescharacteristic, complemented
132#11762690C2211yescharacteristic, complemented
133#11762689C2211yescharacteristic
134#11762689C2211yescharacteristic
135#11762689C2211yescharacteristic
136#11762689C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic
138#11762688C2211yescharacteristic
139#11762688C2211yescharacteristic
140#11762688C2211yescharacteristic
141#11762688C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic
143#11762682C2211yescharacteristic
144#11762682C2211yescharacteristic
145#11762682C2211yescharacteristic
146#11762682C2211yescharacteristic
147#11762682C2211yescharacteristic
148#11762682C2211yescharacteristic
149#11762682C2211yescharacteristic
150#11762682C2211yescharacteristic
151#11762682C2211yescharacteristic
152#11762682C2211yescharacteristic
153#11762682C2211yescharacteristic, complemented
154#11762682C2211yescharacteristic, complemented
155#11762682C2211yescharacteristic, complemented
156#11762681C2211yescharacteristic, complemented
157#11762681C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic, complemented
159#11762678C2211yescharacteristic, complemented
160#11762674C2211yescharacteristic, complemented
161#11762672C2211yescharacteristic
162#11762672C2211yescharacteristic
163#11762672C2211yescharacteristic, complemented
164#11762669C2211yescharacteristic
165#11762669C2211yescharacteristic
166#11762669C2211yescharacteristic
167#11762669C2211yescharacteristic, complemented
168#11762665C2211yescharacteristic
169#11762665C2211yescharacteristic
170#11762665C2211yescharacteristic
171C4×C4⋊Dic17C2211yescharacteristic, complemented
172#11762655C2211yescharacteristic, complemented
173C22×#41×C17C2211yescharacteristic
174C24×C4×C17C2211yescharacteristic
175C17×#525—28no—
176C2×C17×#123C2211yescharacteristic
177C2×C17×#123C2211yescharacteristic
178C2×C17×C22⋊Q8C2211yescharacteristic
179C2×C17×C22⋊Q8C2211yescharacteristic
180C2×C17×#121C2211yescharacteristic
181C2×C17×#121C2211yescharacteristic
182C2×C17×#120C2211yescharacteristic
183C2×C17×#120C2211yescharacteristic
184C2×C4×D4×C17C2211yescharacteristic
185C2×C4×D4×C17C2211yescharacteristic
186C2×C4×D4×C17C2211yescharacteristic
187C2×C4×D4×C17C2211yescharacteristic
188C2×C17×#117C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C2×#41×C17—24no—
191C2×#41×C17—42no—
192C2×#41×C17—42no—
193C22×Q8×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C23×C4×C17—24no—
202C23×C4×C17—42no—
203C23×C4×C17—42no—
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×Dic34C2311yescharacteristic
221C17×#123—24no—
222C17×#123—24no—
223C17×C22⋊Q8—24no—
224C17×C22⋊Q8—24no—
225C17×#121—24no—
226C17×#121—24no—
227C17×#120—24no—
228C17×#120—24no—
229C4×D4×C17—24no—
230C4×D4×C17—24no—
231C4×D4×C17—24no—
232C4×D4×C17D418yescomplemented
233C17×#117—24no—
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊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⋊C4×C17C2311yescharacteristic
250C2×C42×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252#10587639—42no—
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
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286#10587632—42no—
287#10587625—24no—
288#10587624—42no—
289#10587621—24no—
290#10587621—42no—
291#10587621—42no—
292#10587615—24no—
293#10587615—42no—
294C4×C22⋊D17—24no—
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
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
313#10587610—24no—
314#10587610—42no—
315#10587610—42no—
316C2×#63225—24no—
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×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342C2×C4×Dic17C2311yescharacteristic
343C2×C4×Dic17C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345#10587582—24no—
346#10587575—24no—
347#10587572—24no—
348#10587569—24no—
349#10587565—24no—
350#10587564—24no—
351#10587562—24no—
352#10587556—24no—
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385C24×C17—22no—
386C24×C17—22no—
387C24×C17—22no—
388C24×C17—41no—
389C24×C17—41no—
390C24×C17—41no—
391C24×C17—41no—
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C24×C17C2411yescharacteristic
395C24×C17C2411yescharacteristic
396C24×C17C2411yescharacteristic
397C23×D17C2411yescharacteristic
398#41×C17—416no—
399C2×Q8×C17—22no—
400C2×Q8×C17—22no—
401C2×Q8×C17—41no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17C2×D414yes—
423C22×C4×C17—22no—
424C22×C4×C17—22no—
425C22×C4×C17—22no—
426C22×C4×C17—22no—
427C22×C4×C17—22no—
428C22×C4×C17—22no—
429C22×C4×C17—22no—
430C22×C4×C17—22no—
431C22×C4×C17—22no—
432C22×C4×C17—22no—
433C22×C4×C17—22no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17—41no—
438C22×C4×C17—41no—
439C22×C4×C17—41no—
440C22×C4×C17—41no—
441C22×C4×C17—41no—
442C22×C4×C17—41no—
443C22×C4×C17—41no—
444C22×C4×C17—41no—
445C22×C4×C17—416no—
446C22×C4×C17C2×D414yes—
447C22×C4×C17C2×D414yes—
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—22no—
461C2×C22⋊D17—22no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17—41no—
466C2×C22⋊D17—41no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C22×Dic17—22no—
474C22×Dic17—22no—
475C22×Dic17—41no—
476C22×Dic17—41no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C2×C4×D17—22no—
495C2×C4×D17—41no—
496C2×C4×D17—41no—
497C2×Dic34—22no—
498C2×Dic34—41no—
499C2×Dic34—41no—
500C4⋊C4×C17—22no—
501C4⋊C4×C17—22no—
502C4⋊C4×C17—22no—
503C4⋊C4×C17—22no—
504C4⋊C4×C17—22no—
505C4⋊C4×C17C2×D414yes—
506C22⋊C4×C17—22no—
507C22⋊C4×C17—22no—
508C22⋊C4×C17—22no—
509C22⋊C4×C17—22no—
510C22⋊C4×C17—22no—
511C22⋊C4×C17—22no—
512C22⋊C4×C17—22no—
513C22⋊C4×C17—22no—
514C22⋊C4×C17C2×D414yes—
515C22⋊C4×C17C2×D414yes—
516C42×C17—22no—
517C42×C17C2×D414yes—
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—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560C4⋊Dic17—22no—
561C4⋊Dic17—22no—
562C4⋊Dic17—22no—
563C4⋊Dic17—41no—
564C4⋊Dic17—41no—
565C4⋊Dic17—41no—
566C4⋊Dic17—41no—
567C4⋊Dic17—41no—
568C4⋊Dic17—41no—
569#63225—22no—
570#63225—22no—
571#63225—22no—
572#63225—22no—
573#63225—22no—
574#63225—22no—
575#63225—22no—
576#63225—22no—
577#63225—22no—
578#63225—22no—
579#63225—22no—
580#63225—22no—
581#63225—22no—
582#63225—41no—
583#63225—41no—
584#63225—41no—
585#63225—41no—
586#63225—41no—
587#63225—41no—
588#63225—41no—
589#63225—41no—
590#63225—41no—
591#63225—41no—
592C4×Dic17—22no—
593C4×Dic17—41no—
594C4×Dic17—41no—
595C4×Dic17—41no—
596C4×Dic17—41no—
597#36723—171nomaximal, Sylow
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—44no—
630C23×C17—44no—
631C23×C17—44no—
632C23×C17—44no—
633C23×C17—44no—
634C23×C17—44no—
635C23×C17—44no—
636C23×C17C22×D412yes—
637C23×C17C22×D412yes—
638C23×C17H(5,𝔽2)12yes—
639C23×C172−1+412yes—
640C23×C17C2511yescharacteristic
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648Q8×C17—44no—
649D4×C17—44no—
650D4×C17—44no—
651D4×C17—44no—
652D4×C17—44no—
653D4×C17—44no—
654D4×C17—44no—
655D4×C17—44no—
656C2×C4×C17—28no—
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—44no—
682C2×C4×C17—44no—
683C2×C4×C17—44no—
684C2×C4×C17—44no—
685C2×C4×C17—44no—
686C2×C4×C17—44no—
687C2×C4×C17—44no—
688C2×C4×C17C22×D412yes—
689C2×C4×C17C22×D412yes—
690C2×C4×C17C22×D412yes—
691C2×C4×C17C22×D412yes—
692C2×C4×C17C22×D412yes—
693C2×C4×C17H(5,𝔽2)12yes—
694C22⋊D17—44no—
695C22⋊D17—82no—
696C22⋊D17—82no—
697C22⋊D17—82no—
698C22⋊D17—82no—
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—21no—
735C2×Dic17—21no—
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—44no—
745C2×Dic17—82no—
746C4×D17—82no—
747Dic34—82no—
748C2×#539—171no—
749C2×#525D1711yescharacteristic, complemented
750#2849—171no—
751#2848—171no—
752#2707—171no—
753#2706—171no—
754#2704—171no—
755#2703—171no—
756#2701—171no—
757#2698—171no—
758#2697—171no—
759#2685—171no—
760#2683—171no—
761#2682—171no—
762#2681—171no—
763#2681—171no—
764#2680—171no—
765#2680—171no—
766#2678—171no—
767#2678—171no—
768#2638—171no—
769#2630—171no—
770#2611—171no—
771#2603—171no—
772#2601—171no—
773#2600—171no—
774#2579—171no—
775#2566—171no—
776#2407—171no—
777#2406—171no—
778#2319—171no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—22no—
782C22×C17—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—22no—
786C22×C17—22no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—22no—
791C22×C17—416no—
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×C17C23×D411yescharacteristic
816C22×C17C2×H(5,𝔽2)11yescharacteristic
817C22×C17C2×H(5,𝔽2)11yescharacteristic
818C22×C17C2×2−1+411yescharacteristic
819C22×C17#58511yescharacteristic
820C22×C17#58511yescharacteristic
821C22×C17#58511yescharacteristic
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—41no—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—22no—
834C4×C17—22no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839Dic17—41no—
840Dic17—41no—
841Dic17—41no—
842Dic17—41no—
843Dic17—41no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854C22×#41C2×D1711yescharacteristic
855C24×C4C2×D1711yescharacteristic
856#539—348no—
857C2×#126—171no—
858C2×#126—171no—
859C2×#125—171no—
860C2×#125—171no—
861#525—28no—
862C2×#123—171no—
863C2×#123—171no—
864C2×#123—171no—
865C2×#123—171no—
866C2×#123—171no—
867C2×#123—171no—
868C2×#123—171no—
869C2×#123C2×D1711yescharacteristic
870C2×#123C2×D1711yescharacteristic
871C2×C22⋊Q8—171no—
872C2×C22⋊Q8—171no—
873C2×C22⋊Q8—171no—
874C2×C22⋊Q8—171no—
875C2×C22⋊Q8—171no—
876C2×C22⋊Q8—171no—
877C2×C22⋊Q8C2×D1711yescharacteristic
878C2×C22⋊Q8C2×D1711yescharacteristic
879C2×#121—171no—
880C2×#121—171no—
881C2×#121C2×D1711yescharacteristic
882C2×#121C2×D1711yescharacteristic
883C2×#120—171no—
884C2×#120C2×D1711yescharacteristic
885C2×#120C2×D1711yescharacteristic
886C2×C4×D4—171no—
887C2×C4×D4C2×D1711yescharacteristic
888C2×C4×D4C2×D1711yescharacteristic
889C2×C4×D4C2×D1711yescharacteristic
890C2×C4×D4C2×D1711yescharacteristic
891C2×#117C2×D1711yescharacteristic
892C22×C4⋊C4—171no—
893#400—171no—
894#399—171no—
895#398—171no—
896#398—171no—
897#398—171no—
898#398—171no—
899#398—171no—
900#398—171no—
901#398—171no—
902#397—171no—
903#397—171no—
904#397—171no—
905#397—171no—
906#397—171no—
907#397—171no—
908#397—171no—
909#396—171no—
910#396—171no—
911#396—171no—
912#396—171no—
913#396—171no—
914#396—171no—
915#396—171no—
916#396—171no—
917#396—171no—
918#396—171no—
919#395—171no—
920#395—171no—
921#395—171no—
922#394—171no—
923#394—171no—
924#394—171no—
925#394—171no—
926#394—171no—
927#394—171no—
928#394—171no—
929#394—171no—
930#394—171no—
931#394—171no—
932#394—171no—
933#394—171no—
934#394—171no—
935#393—171no—
936#392—171no—
937#392—171no—
938#392—171no—
939#392—171no—
940#392—171no—
941#391—171no—
942#390—171no—
943#390—171no—
944#390—171no—
945#390—171no—
946#390—171no—
947#390—171no—
948#390—171no—
949#390—171no—
950#389—171no—
951#389—171no—
952#389—171no—
953#389—171no—
954#389—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#388—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#387—171no—
968#387—171no—
969#387—171no—
970#387—171no—
971#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#385—171no—
982#385—171no—
983#385—171no—
984#385—171no—
985#385—171no—
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#385—171no—
996#385—171no—
997#384—171no—
998#382—171no—
999#381—171no—
1000#381—171no—
1001#381—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#379—171no—
1007#379—171no—
1008#379—171no—
1009C4×C4⋊C4—171no—
1010#376—171no—
1011C2×C17—42no—
1012C2×C17—42no—
1013C2×C17—42no—
1014C2×C17—42no—
1015C2×C17—81no—
1016C2×C17#344911yescharacteristic
1017C2×C17#348411yescharacteristic
1018C2×C17#348911yescharacteristic
1019C2×C17#353311yescharacteristic
1020C2×C17#353511yescharacteristic
1021C2×C17#353911yescharacteristic
1022C2×C17#354111yescharacteristic
1023D17—81no—
1024C25C22×D1711yescharacteristic
1025C2×#41—24no—
1026C2×#41—42no—
1027C2×#41—42no—
1028C22×Q8—171no—
1029C22×Q8C22×D1711yescharacteristic
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—171no—
1035C22×D4C22×D1711yescharacteristic
1036C22×D4C22×D1711yescharacteristic
1037C22×D4C22×D1711yescharacteristic
1038C22×D4C22×D1711yescharacteristic
1039C22×D4C22×D1711yescharacteristic
1040C22×D4C22×D1711yescharacteristic
1041C22×D4C22×D1711yescharacteristic
1042C23×C4—24no—
1043C23×C4—42no—
1044C23×C4—42no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4C22×D1711yescharacteristic
1049C23×C4C22×D1711yescharacteristic
1050C23×C4C22×D1711yescharacteristic
1051C23×C4C22×D1711yescharacteristic
1052C23×C4C22×D1711yescharacteristic
1053C23×C4C22×D1711yescharacteristic
1054C23×C4C22×D1711yescharacteristic
1055C23×C4C22×D1711yescharacteristic
1056#126—344no—
1057#126—344no—
1058#125—344no—
1059#125—344no—
1060#123—24no—
1061#123—24no—
1062#123—344no—
1063#123—344no—
1064#123—344no—
1065#123—344no—
1066#123—682no—
1067#123—682no—
1068#123—682no—
1069C22⋊Q8—24no—
1070C22⋊Q8—24no—
1071C22⋊Q8—344no—
1072C22⋊Q8—344no—
1073C22⋊Q8—344no—
1074C22⋊Q8—682no—
1075C22⋊Q8—682no—
1076C22⋊Q8—682no—
1077#121—24no—
1078#121—24no—
1079#121—344no—
1080#121—682no—
1081#120—24no—
1082#120—24no—
1083#120—682no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—344no—
1088C4×D4C22⋊D1718yescomplemented
1089#117—24no—
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⋊C4—171no—
1103C2×C4⋊C4—171no—
1104C2×C4⋊C4—171no—
1105C2×C4⋊C4—171no—
1106C2×C4⋊C4—171no—
1107C2×C4⋊C4—171no—
1108C2×C4⋊C4—171no—
1109C2×C4⋊C4—171no—
1110C2×C4⋊C4—171no—
1111C2×C4⋊C4—171no—
1112C2×C4⋊C4—171no—
1113C2×C4⋊C4—171no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4—171no—
1116C2×C4⋊C4—171no—
1117C2×C4⋊C4—171no—
1118C2×C4⋊C4—171no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—344no—
1123C2×C4⋊C4C22×D1711yescharacteristic
1124C2×C4⋊C4C22×D1711yescharacteristic
1125C2×C4⋊C4C22×D1711yescharacteristic
1126C2×C4⋊C4C22×D1711yescharacteristic
1127C2×C4⋊C4C22×D1711yescharacteristic
1128C2×C4⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4C22×D1711yescharacteristic
1172C2×C22⋊C4C22×D1711yescharacteristic
1173C2×C22⋊C4C22×D1711yescharacteristic
1174C2×C22⋊C4C22×D1711yescharacteristic
1175C2×C22⋊C4C22×D1711yescharacteristic
1176C2×C22⋊C4C22×D1711yescharacteristic
1177C2×C22⋊C4C22×D1711yescharacteristic
1178C2×C22⋊C4C22×D1711yescharacteristic
1179C2×C22⋊C4C22×D1711yescharacteristic
1180C2×C22⋊C4C22×D1711yescharacteristic
1181C2×C42—171no—
1182C2×C42—171no—
1183C2×C42—171no—
1184C2×C42—171no—
1185C2×C42—171no—
1186C2×C42C22×D1711yescharacteristic
1187C2×C42C22×D1711yescharacteristic
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211#95—171no—
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220C17#3672311yescharacteristic, complemented, Sylow
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—171no—
1229C24C23×D1711yescharacteristic
1230C24C23×D1711yescharacteristic
1231C24C23×D1711yescharacteristic
1232C24C23×D1711yescharacteristic
1233C24C23×D1711yescharacteristic
1234#41—416no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—342no—
1239C2×Q8—681no—
1240C2×Q8—681no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
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—342no—
1262C2×D4—342no—
1263C2×D4—342no—
1264C2×D4—342no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C2×D4—681no—
1269C2×D4—681no—
1270C2×D4—681no—
1271C2×D4—681no—
1272C2×D4—681no—
1273C2×D4—681no—
1274C2×D4—681no—
1275C2×D4—681no—
1276C2×D4C2×C22⋊D1714yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—416no—
1300C22×C4—171no—
1301C22×C4—171no—
1302C22×C4—171no—
1303C22×C4—171no—
1304C22×C4—171no—
1305C22×C4—171no—
1306C22×C4—171no—
1307C22×C4—171no—
1308C22×C4—171no—
1309C22×C4—171no—
1310C22×C4—171no—
1311C22×C4—171no—
1312C22×C4—171no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—342no—
1316C22×C4—342no—
1317C22×C4—342no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4—681no—
1323C22×C4—681no—
1324C22×C4C2×C22⋊D1714yes—
1325C22×C4C2×C22⋊D1714yes—
1326C22×C4C23×D1711yescharacteristic
1327C22×C4C23×D1711yescharacteristic
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—342no—
1342C4⋊C4—342no—
1343C4⋊C4—342no—
1344C4⋊C4—342no—
1345C4⋊C4—342no—
1346C4⋊C4—342no—
1347C4⋊C4—342no—
1348C4⋊C4—342no—
1349C4⋊C4—342no—
1350C4⋊C4—342no—
1351C4⋊C4—342no—
1352C4⋊C4—342no—
1353C4⋊C4—342no—
1354C4⋊C4—342no—
1355C4⋊C4—342no—
1356C4⋊C4—342no—
1357C4⋊C4—681no—
1358C4⋊C4—681no—
1359C4⋊C4—681no—
1360C4⋊C4—681no—
1361C4⋊C4—681no—
1362C4⋊C4—681no—
1363C4⋊C4—681no—
1364C4⋊C4—681no—
1365C4⋊C4—681no—
1366C4⋊C4—681no—
1367C4⋊C4—681no—
1368C4⋊C4—681no—
1369C4⋊C4—681no—
1370C4⋊C4—681no—
1371C4⋊C4—681no—
1372C4⋊C4—681no—
1373C4⋊C4C2×C22⋊D1714yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
1384C22⋊C4—342no—
1385C22⋊C4—342no—
1386C22⋊C4—342no—
1387C22⋊C4—342no—
1388C22⋊C4—342no—
1389C22⋊C4—342no—
1390C22⋊C4—342no—
1391C22⋊C4—342no—
1392C22⋊C4—342no—
1393C22⋊C4—342no—
1394C22⋊C4—342no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C22⋊C4—681no—
1408C22⋊C4—681no—
1409C22⋊C4—681no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4—681no—
1418C22⋊C4—681no—
1419C22⋊C4—681no—
1420C22⋊C4—681no—
1421C22⋊C4—681no—
1422C22⋊C4—681no—
1423C22⋊C4—681no—
1424C22⋊C4C2×C22⋊D1714yes—
1425C22⋊C4C2×C22⋊D1714yes—
1426C42—22no—
1427C42—342no—
1428C42—681no—
1429C42—681no—
1430C42—681no—
1431C42—681no—
1432C42C2×C22⋊D1714yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—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—341no—
1472C23—341no—
1473C23—341no—
1474C23—341no—
1475C23—341no—
1476C23—341no—
1477C23—341no—
1478C23#1058769112yes—
1479C23#1058769712yes—
1480C23C22×C22⋊D1712yes—
1481C23C22×C22⋊D1712yes—
1482C23C24×D1711yescharacteristic
1483Q8—44no—
1484Q8—1362no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—684no—
1493D4—1362no—
1494D4—1362no—
1495D4—1362no—
1496D4—1362no—
1497C2×C4—28no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—684no—
1575C2×C4—1362no—
1576C2×C4—1362no—
1577C2×C4#1058769112yes—
1578C2×C4C22×C22⋊D1712yes—
1579C2×C4C22×C22⋊D1712yes—
1580C2×C4C22×C22⋊D1712yes—
1581C2×C4C22×C22⋊D1712yes—
1582C2×C4C22×C22⋊D1712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—416no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—681no—
1625C22—681no—
1626C22C23×C22⋊D1711yescharacteristic
1627C22C2×#1058769111yescharacteristic
1628C22C2×#1058769111yescharacteristic
1629C22C2×#1058769711yescharacteristic
1630C22#1176364511yescharacteristic
1631C22#1176364511yescharacteristic
1632C22#1176364511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—681no—
1644C4—681no—
1645C4—681no—
1646C4—681no—
1647C4—681no—
1648C4—681no—
1649C4—681no—
1650C4—681no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—81no—
1663C2—1361no—
1664C2#1454211311yescharacteristic
1665C2#1454241911yescharacteristic
1666C2#1454246411yescharacteristic
1667C2#1454294811yescharacteristic
1668C2#1454298711yescharacteristic
1669C2#1454304011yescharacteristic
1670C2#1454306911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC2×C17×#525C2
hypercenterC2×#525D17
hypocenterC17#36723
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#11763401C2semidirect
2. #14537076C2semidirect
3. #14537071C2semidirect
4. #14535483C2semidirect
5. #14535468C2semidirect
6. #14535438C2semidirect
7. #14535423C2semidirect
8. #14535393C2semidirect
9. #14535354C2semidirect
10. #14535345C2semidirect
11. #14535171C2semidirect
12. #14535154C2semidirect
13. #14535145C2semidirect
14. #14535136C2semidirect
15. #14535130C2semidirect
16. #14535123C2semidirect
17. #14535121C2semidirect
18. #14535109C2semidirect
19. #14535105C2semidirect
20. #14534701C2semidirect
21. #14534621C2semidirect
22. #14534482C2semidirect
23. #14534405C2semidirect
24. #14534381C2semidirect
25. #14534366C2semidirect
26. #14534127C2semidirect
27. #14533980C2semidirect
28. #14532123C2semidirect
29. #14532115C2semidirect
30. #14531427C2semidirect
31. C2×C17×#525C2semidirect
33. C2×#10587562C22semidirect
35. C2×#10587556C22semidirect
36. C2×#10587575C22semidirect
37. C2×#10587572C22semidirect
43. C2×#10587621C22semidirect
47. C2×#10587582C22semidirect
48. C2×#10587564C22semidirect
49. C2×#10587632C22semidirect
53. C2×C4×C22⋊D17C22semidirect
54. C22×#63225C22semidirect
55. #11762748C22semidirect
57. #11762742C22semidirect
58. #11762742C22semidirect
59. #11762742C22semidirect
60. #11762742C22semidirect
61. #11762740C22semidirect
62. #11762739C22semidirect
63. #11762739C22semidirect
67. #11762737C22semidirect
68. #11762735C22semidirect
70. #11762734C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
79. #11762731C22semidirect
80. #11762731C22semidirect
81. #11762729C22semidirect
82. #11762728C22semidirect
83. #11762728C22semidirect
85. #11762725C22semidirect
87. #11762724C22semidirect
96. #11762723C22semidirect
97. #11762721C22semidirect
102. #11762717C22semidirect
103. #11762716C22semidirect
111. #11762709C22semidirect
112. #11762708C22semidirect
113. #11762708C22semidirect
114. #11762704C22semidirect
115. #11762704C22semidirect
116. #11762704C22semidirect
121. #11762703C22semidirect
124. #11762702C22semidirect
125. #11762702C22semidirect
126. #11762700C22semidirect
127. #11762699C22semidirect
129. #11762693C22semidirect
130. #11762693C22semidirect
131. #11762693C22semidirect
132. #11762690C22semidirect
136. #11762689C22semidirect
141. #11762688C22semidirect
153. #11762682C22semidirect
154. #11762682C22semidirect
155. #11762682C22semidirect
156. #11762681C22semidirect
157. #11762681C22semidirect
158. #11762680C22semidirect
159. #11762678C22semidirect
160. #11762674C22semidirect
163. #11762672C22semidirect
167. #11762669C22semidirect
171. C4×C4⋊Dic17C22semidirect
172. #11762655C22semidirect
232. C4×D4×C17D4semidirect
749. C2×#525D17semidirect
1088. C4×D4C22⋊D17semidirect
1220. C17#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#117634012
#145370762
#145370712
#145354832
#145354682
#145354382
#145354232
#145353932
#145353542
#145353452
#145351712
#145351542
#145351452
#145351362
#145351302
#145351232
#145351212
#145351092
#145351052
#145347012
#145346212
#145344822
#145344052
#145343812
#145343662
#145341272
#145339802
#145321232
#145321152
#145314272
C2×C17×#5252
#3672317