Finite Group Databasebeta

← #17204519

Subgroups — #17204519

Order 4352.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763344C211yesmaximal, characteristic, complemented
2C2×#11763322C211yesmaximal, characteristic, complemented
3#14533924C211yesmaximal, characteristic, complemented
4#14533917C211yesmaximal, characteristic, complemented
5#14533896C211yesmaximal, characteristic, complemented
6#14533889C211yesmaximal, characteristic, complemented
7#14533853C211yesmaximal, characteristic, complemented
8#14533838C211yesmaximal, characteristic, complemented
9#14533831C211yesmaximal, characteristic, complemented
10#14533789C211yesmaximal, characteristic, complemented
11#14533745C211yesmaximal, characteristic, complemented
12#14533711C211yesmaximal, characteristic, complemented
13#14533675C211yesmaximal, characteristic, complemented
14#14533117C211yesmaximal, characteristic, complemented
15#14532908C211yesmaximal, characteristic, complemented
16#14532342C211yesmaximal, characteristic, complemented
17#14532325C211yesmaximal, characteristic, complemented
18#14532061C211yesmaximal, characteristic, complemented
19#14532049C211yesmaximal, characteristic, complemented
20#14532029C211yesmaximal, characteristic, complemented
21#14532002C211yesmaximal, characteristic, complemented
22#14531325C211yesmaximal, characteristic, complemented
23#14531305C211yesmaximal, characteristic, complemented
24#14531296C211yesmaximal, characteristic, complemented
25#14531292C211yesmaximal, characteristic, complemented
26#14531285C211yesmaximal, characteristic, complemented
27#14531273C211yesmaximal, characteristic, complemented
28#14531242C211yesmaximal, characteristic, complemented
29C4×#10587579C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2556C211yesmaximal, characteristic, complemented
32C22×#63256C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763344—28no—
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587561C2211yescharacteristic, complemented
38C2×#10587571C2211yescharacteristic
39#11763322—28no—
40C2×#10587580C2211yescharacteristic
41C2×#10587580C2211yescharacteristic
42C2×#10587580C2211yescharacteristic
43C2×#10587580C2211yescharacteristic
44C2×#10587580C2211yescharacteristic
45C2×#10587583C2211yescharacteristic
46C2×#10587632C2211yescharacteristic
47C2×#10587581C2211yescharacteristic
48C2×#10587581C2211yescharacteristic
49C2×#10587581C2211yescharacteristic
50C2×#10587616C2211yescharacteristic
51C2×#10587570C2211yescharacteristic
52C2×#10587568C2211yescharacteristic
53C2×#10587568C2211yescharacteristic
54C2×#10587568C2211yescharacteristic
55C2×#10587573C2211yescharacteristic, complemented
56C2×C4×D68C2211yescharacteristic
57C2×#10587579C2211yescharacteristic
58C2×#10587579C2211yescharacteristic
59C2×#10587579C2211yescharacteristic
60C2×#10587579C2211yescharacteristic
61C2×#10587579C2211yescharacteristic
62C2×#10587579C2211yescharacteristic, complemented
63C2×#10587579C2211yescharacteristic, complemented
64C2×#10587567C2211yescharacteristic
65C2×#10587567C2211yescharacteristic
66C2×#10587567C2211yescharacteristic
67C2×#10587578C2211yescharacteristic
68C2×#10587578C2211yescharacteristic, complemented
69C2×#10587578C2211yescharacteristic, complemented
70C2×C22⋊C4×D17C2211yescharacteristic
71C2×C22⋊C4×D17C2211yescharacteristic
72C2×C42×D17C2211yescharacteristic
73C2×C42×D17C2211yescharacteristic
74C2×C42×D17C2211yescharacteristic, complemented
75#11762751C2211yescharacteristic, complemented
76#11762747C2211yescharacteristic, complemented
77#11762744C2211yescharacteristic
78#11762742C2211yescharacteristic, complemented
79#11762742C2211yescharacteristic, complemented
80#11762741C2211yescharacteristic, complemented
81#11762738C2211yescharacteristic, complemented
82#11762735C2211yescharacteristic, complemented
83#11762735C2211yescharacteristic, complemented
84#11762734C2211yescharacteristic
85#11762731C2211yescharacteristic
86#11762731C2211yescharacteristic
87#11762731C2211yescharacteristic, complemented
88#11762730C2211yescharacteristic, complemented
89#11762726C2211yescharacteristic
90#11762726C2211yescharacteristic
91#11762726C2211yescharacteristic, complemented
92#11762726C2211yescharacteristic, complemented
93#11762725C2211yescharacteristic
94#11762725C2211yescharacteristic
95#11762725C2211yescharacteristic
96#11762725C2211yescharacteristic
97#11762722C2211yescharacteristic
98#11762720C2211yescharacteristic, complemented
99#11762719C2211yescharacteristic
100#11762719C2211yescharacteristic
101#11762719C2211yescharacteristic, complemented
102#11762718C2211yescharacteristic
103#11762716C2211yescharacteristic, complemented
104#11762713C2211yescharacteristic, complemented
105#11762711C2211yescharacteristic
106#11762711C2211yescharacteristic
107#11762711C2211yescharacteristic, complemented
108#11762710C2211yescharacteristic
109#11762710C2211yescharacteristic
110#11762709C2211yescharacteristic
111#11762709C2211yescharacteristic
112#11762708C2211yescharacteristic, complemented
113#11762704C2211yescharacteristic, complemented
114#11762703C2211yescharacteristic
115#11762701C2211yescharacteristic
116#11762701C2211yescharacteristic, complemented
117#11762701C2211yescharacteristic, complemented
118#11762700C2211yescharacteristic, complemented
119#11762700C2211yescharacteristic, complemented
120#11762700C2211yescharacteristic, complemented
121#11762699C2211yescharacteristic
122#11762699C2211yescharacteristic, complemented
123#11762699C2211yescharacteristic, complemented
124#11762699C2211yescharacteristic, complemented
125#11762699C2211yescharacteristic, complemented
126#11762690C2211yescharacteristic, complemented
127#11762688C2211yescharacteristic
128#11762687C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762687C2211yescharacteristic, complemented
136#11762687C2211yescharacteristic, complemented
137#11762687C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic
139#11762683C2211yescharacteristic
140#11762680C2211yescharacteristic
141#11762680C2211yescharacteristic
142#11762673C2211yescharacteristic, complemented
143#11762671C2211yescharacteristic
144#11762668C2211yescharacteristic, complemented
145#11762666C2211yescharacteristic
146#11762664C2211yescharacteristic
147C4⋊C4×Dic17C2211yescharacteristic, complemented
148C4⋊C4×Dic17C2211yescharacteristic, complemented
149C4⋊C4×Dic17C2211yescharacteristic, complemented
150C4⋊C4×Dic17C2211yescharacteristic, complemented
151#11762660C2211yescharacteristic, complemented
152C22⋊C4×Dic17C2211yescharacteristic
153C22⋊C4×Dic17C2211yescharacteristic
154C22⋊C4×Dic17C2211yescharacteristic
155C4×#63227C2211yescharacteristic
156C4×#63227C2211yescharacteristic
157C4×#63227C2211yescharacteristic
158C4×#63227C2211yescharacteristic, complemented
159C4×C22⋊Dic17C2211yescharacteristic
160#11762656C2211yescharacteristic
161#11762656C2211yescharacteristic
162#11762656C2211yescharacteristic
163#11762656C2211yescharacteristic
164#11762656C2211yescharacteristic
165#11762656C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic
173C42×Dic17C2211yescharacteristic, complemented
174C2×C17×#125C2211yescharacteristic, complemented
175C2×C17×C22⋊Q8C2211yescharacteristic
176C17×#399C2211yescharacteristic
177C17×#398C2211yescharacteristic, complemented
178C17×#396C2211yescharacteristic
179C17×#395C2211yescharacteristic, complemented
180C17×#391C2211yescharacteristic, complemented
181C17×#389C2211yescharacteristic, complemented
182C17×#389C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic
184C17×#388C2211yescharacteristic
185C17×#387C2211yescharacteristic, complemented
186C17×#385C2211yescharacteristic
187C4×C4⋊C4×C17C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C23×Dic17C2311yescharacteristic
196C2×#63256—24no—
197C2×#63256—24no—
198C2×#63256—42no—
199C22×D68C2311yescharacteristic
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×D68C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×D68C2311yescharacteristic
208C22×C4×D17—24no—
209C22×C4×D17—24no—
210C22×C4×D17—42no—
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×Dic34C2311yescharacteristic
225C17×#125—24no—
226C17×C22⋊Q8—24no—
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×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×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253#10587632—24no—
254#10587616—24no—
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
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×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322#10587584—24no—
323#10587584—24no—
324#10587583—24no—
325#10587581—24no—
326#10587581—24no—
327#10587581—24no—
328#10587580—24no—
329#10587580—24no—
330#10587580—24no—
331#10587580—24no—
332#10587580—24no—
333#10587579—24no—
334#10587579—24no—
335#10587579—24no—
336#10587579—24no—
337#10587579—24no—
338#10587579—42no—
339#10587579D418yescomplemented
340#10587578—24no—
341#10587578—24no—
342#10587578—24no—
343#10587573—24no—
344#10587571—24no—
345#10587570—24no—
346#10587568—24no—
347#10587568—24no—
348#10587568—24no—
349#10587567—24no—
350#10587567—24no—
351#10587567—42no—
352C22⋊C4×D17—24no—
353C22⋊C4×D17—24no—
354#10587561—24no—
355C4×D68—24no—
356C42×D17—24no—
357C42×D17—42no—
358C42×D17—42no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C23×D17—22no—
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17C2411yescharacteristic
400C23×D17C2411yescharacteristic
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×Q8×C17—22no—
405C2×Q8×C17—22no—
406C2×Q8×C17—41no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—41no—
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C22×Dic17—22no—
434C22×Dic17—22no—
435C22×Dic17—22no—
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447#63256—416no—
448C2×D68—22no—
449C2×D68—22no—
450C2×D68—22no—
451C2×D68—22no—
452C2×D68—22no—
453C2×D68—22no—
454C2×D68—22no—
455C2×D68—22no—
456C2×D68—22no—
457C2×D68—22no—
458C2×D68—22no—
459C2×D68—22no—
460C2×D68—22no—
461C2×D68—22no—
462C2×D68—22no—
463C2×D68—22no—
464C2×D68—22no—
465C2×D68—22no—
466C2×D68—22no—
467C2×D68—41no—
468C2×D68—41no—
469C2×D68—41no—
470C2×D68—41no—
471C2×D68—41no—
472C2×D68—41no—
473C2×D68—41no—
474C2×D68C2×D414yes—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—22no—
481C2×C4×D17—22no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—22no—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—22no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—416no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C2×C4×D17—41no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17C2×D414yes—
512C2×C4×D17C2×D414yes—
513C2×C4×D17#4114yes—
514C2×C4×D17#4114yescomplemented
515C2×Dic34—22no—
516C2×Dic34—22no—
517C2×Dic34—41no—
518C4⋊C4×C17—22no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—22no—
521C4⋊C4×C17—22no—
522C4⋊C4×C17—22no—
523C4⋊C4×C17—22no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—22no—
527C4⋊C4×C17—22no—
528C4⋊C4×C17—22no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17C2×D414yes—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17#4114yescomplemented
537C42×C17—22no—
538C42×C17—22no—
539C42×C17—41no—
540C42×C17—41no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—22no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227C2×D414yes—
581#63227C2×D414yes—
582#63227#4114yescomplemented
583C4⋊Dic17—22no—
584C4⋊Dic17—22no—
585C4⋊Dic17—22no—
586C4⋊Dic17—22no—
587C4⋊Dic17—41no—
588C4⋊Dic17—41no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—41no—
596C4×Dic17—22no—
597C4×Dic17—22no—
598C4×Dic17—22no—
599C4×Dic17—22no—
600C4×Dic17—22no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—41no—
608C4×Dic17—41no—
609C4×Dic17—41no—
610C4×Dic17C2×D414yes—
611#34829—171nomaximal, Sylow
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17C2×#4112yes—
619C23×C17C2511yescharacteristic
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—28no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—44no—
652C22×D17—44no—
653C22×D17—44no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17C22×D412yes—
658C22×D17C22×D412yes—
659C22×D17C2×#4112yes—
660C22×D17C2×#4112yes—
661C22×D17C2×#4112yes—
662Q8×C17—44no—
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—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—44no—
698C2×C4×C17C22×D412yes—
699C2×C4×C17C22×D412yes—
700C2×C4×C17C22×D412yes—
701C2×C4×C17C2×#4112yes—
702C2×C4×C17C2×#4112yes—
703C2×C4×C17C2×#4112yes—
704C2×C4×C17C2×#4112yes—
705C2×C4×C17C2×#4112yes—
706C22⋊D17—44no—
707C22⋊D17—44no—
708C22⋊D17—44no—
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—44no—
737C2×Dic17C22×D412yes—
738C2×Dic17C22×D412yes—
739C2×Dic17C2×#4112yes—
740C2×Dic17C2×#4112yes—
741C2×Dic17C2×#4112yes—
742C2×Dic17H(5,𝔽2)12yes—
743D68—28no—
744D68—44no—
745D68—44no—
746D68—44no—
747D68—44no—
748D68—44no—
749D68—44no—
750D68—44no—
751D68—44no—
752C4×D17—28no—
753C4×D17—28no—
754C4×D17—28no—
755C4×D17—44no—
756C4×D17—44no—
757C4×D17—44no—
758C4×D17—44no—
759C4×D17—44no—
760C4×D17—44no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764C4×D17—44no—
765Dic34—44no—
766C2×#529—171no—
767C2×#525—171no—
768#2560—171no—
769#2559—171no—
770#2558—171no—
771#2557—171no—
772#2556D1711yescharacteristic, complemented
773#2555—171no—
774#2554—171no—
775#2553—171no—
776#2549—171no—
777#2543—171no—
778#2539—171no—
779#2534—171no—
780#2488—171no—
781#2472—171no—
782#2425—171no—
783#2424—171no—
784#2396—171no—
785#2395—171no—
786#2392—171no—
787#2388—171no—
788C4×#124—171no—
789C4×#123—171no—
790C4×#121—171no—
791C4×#121—171no—
792C4×#120—171no—
793#2297—171no—
794#2293—171no—
795C42×D4—171no—
796C2×C4×C22⋊C4—171no—
797C22×C17—22no—
798C22×C17—22no—
799C22×C17—22no—
800C22×C17—41no—
801C22×C17—41no—
802C22×C17—41no—
803C22×C17—41no—
804C22×C17C23×D411yescharacteristic
805C22×C17C22×#4111yescharacteristic
806C22×C17C22×#4111yescharacteristic
807C22×C17C22×#4111yescharacteristic
808C22×C17C22×#4111yescharacteristic
809C22×C17C2×H(5,𝔽2)11yescharacteristic
810C22×C17#58511yescharacteristic
811C2×D17—22no—
812C2×D17—22no—
813C2×D17—22no—
814C2×D17—22no—
815C2×D17—22no—
816C2×D17—22no—
817C2×D17—22no—
818C2×D17—22no—
819C2×D17—22no—
820C2×D17—22no—
821C2×D17—22no—
822C2×D17—22no—
823C2×D17—416no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—41no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17#53214yes—
847C4×C17—22no—
848C4×C17—22no—
849C4×C17—22no—
850C4×C17—22no—
851C4×C17—22no—
852C4×C17—22no—
853C4×C17—22no—
854C4×C17—22no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861Dic17—22no—
862Dic17—22no—
863Dic17—22no—
864Dic17—41no—
865Dic17—41no—
866Dic17—41no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17#54614yes—
872C22×#41—171no—
873C24×C4—171no—
874#529—348no—
875C2×#126—171no—
876C2×#126—171no—
877C2×#125C2×D1711yescharacteristic, complemented
878C2×#124—171no—
879C2×#124—171no—
880#525—348no—
881C2×#123—171no—
882C2×#123—171no—
883C2×#123—171no—
884C2×#123—171no—
885C2×#123—171no—
886C2×C22⋊Q8—171no—
887C2×C22⋊Q8—171no—
888C2×C22⋊Q8C2×D1711yescharacteristic
889C2×#121—171no—
890C2×#121—171no—
891C2×#121—171no—
892C2×#121—171no—
893C2×#121—171no—
894C2×#120—171no—
895C2×#120—171no—
896C2×#120—171no—
897C2×C4×Q8—171no—
898C2×C4×D4—171no—
899C2×C4×D4—171no—
900C2×C4×D4—171no—
901C2×C4×D4—171no—
902C2×C4×D4—171no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4—171no—
907C2×C4×D4—171no—
908C2×C4×D4—171no—
909C2×#117—171no—
910C2×#117—171no—
911C2×#117—171no—
912C22×C22⋊C4—171no—
913C22×C22⋊C4—171no—
914C22×C42—171no—
915C22×C42—171no—
916C22×C42—171no—
917#400—171no—
918#400—171no—
919#399—171no—
920#399C2×D1711yescharacteristic
921#398—171no—
922#398—171no—
923#398—171no—
924#398C2×D1711yescharacteristic, complemented
925#397—171no—
926#397—171no—
927#397—171no—
928#397—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#396C2×D1711yescharacteristic
933#395—171no—
934#395C2×D1711yescharacteristic, complemented
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394—171no—
940#394—171no—
941#394—171no—
942#394—171no—
943#393—171no—
944#393—171no—
945#392—171no—
946#392—171no—
947#392—171no—
948#392—171no—
949#391—171no—
950#391—171no—
951#391C2×D1711yescharacteristic, complemented
952#390—171no—
953#390—171no—
954#390—171no—
955#390—171no—
956#390—171no—
957#390—171no—
958#390—171no—
959#389—171no—
960#389—171no—
961#389C2×D1711yescharacteristic, complemented
962#389C2×D1711yescharacteristic, complemented
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388—171no—
969#388—171no—
970#388—171no—
971#388—171no—
972#388—171no—
973#388—171no—
974#388—171no—
975#388C2×D1711yescharacteristic
976#388C2×D1711yescharacteristic
977#387—171no—
978#387C2×D1711yescharacteristic, complemented
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385C2×D1711yescharacteristic
995#382—171no—
996#381—171no—
997#380—171no—
998#380—171no—
999#379—171no—
1000C4×C4⋊C4—171no—
1001C4×C4⋊C4—171no—
1002C4×C4⋊C4—171no—
1003C4×C4⋊C4—171no—
1004C4×C4⋊C4—171no—
1005C4×C4⋊C4C2×D1711yescharacteristic, complemented
1006C4×C22⋊C4—171no—
1007C4×C22⋊C4—171no—
1008C4×C22⋊C4—171no—
1009C4×C22⋊C4—171no—
1010C4×C22⋊C4—171no—
1011C4×C22⋊C4—171no—
1012C4×C22⋊C4—171no—
1013C4×C22⋊C4—171no—
1014C4×C22⋊C4—171no—
1015C4×C22⋊C4—171no—
1016C4×C22⋊C4—171no—
1017C4×C22⋊C4—171no—
1018C4×C22⋊C4—171no—
1019C4×C22⋊C4—171no—
1020C4×C22⋊C4—171no—
1021C4×C22⋊C4—171no—
1022C4×C22⋊C4—171no—
1023C4×C22⋊C4—171no—
1024C4×C22⋊C4—171no—
1025C4×C22⋊C4C2×D1711yescharacteristic
1026C2×#95—171no—
1027C2×#95—171no—
1028C43—171no—
1029C2×C17—42no—
1030C2×C17C2×#53211yescharacteristic
1031C2×C17#344411yescharacteristic
1032C2×C17#345911yescharacteristic
1033C2×C17C2×#54611yescharacteristic
1034C2×C17D4×#4111yescharacteristic
1035C2×C17#347511yescharacteristic
1036C2×C17#348111yescharacteristic
1037D17—24no—
1038D17—42no—
1039D17—42no—
1040D17—81no—
1041D17—81no—
1042C25—171no—
1043C2×#41—344no—
1044C2×#41—344no—
1045C2×#41—682no—
1046C22×Q8—171no—
1047C22×Q8C22×D1711yescharacteristic
1048C22×D4—171no—
1049C22×D4—171no—
1050C22×D4—171no—
1051C22×D4—171no—
1052C22×D4—171no—
1053C22×D4—171no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C23×C4—171no—
1061C23×C4—171no—
1062C23×C4—171no—
1063C23×C4—171no—
1064C23×C4—171no—
1065C23×C4—171no—
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—344no—
1075C23×C4—344no—
1076C23×C4—682no—
1077C23×C4C22×D1711yescharacteristic
1078#126—344no—
1079#126—344no—
1080#125—24no—
1081#124—344no—
1082#124—344no—
1083#123—344no—
1084#123—344no—
1085#123—344no—
1086#123—344no—
1087#123—344no—
1088C22⋊Q8—24no—
1089C22⋊Q8—344no—
1090C22⋊Q8—344no—
1091#121—344no—
1092#121—344no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—344no—
1100C4×D4—178no—
1101C4×D4—344no—
1102C4×D4—344no—
1103C4×D4—344no—
1104C4×D4—344no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—682no—
1110C4×D4—682no—
1111#117—344no—
1112#117—344no—
1113#117—344no—
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—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4C22×D1711yescharacteristic
1128C2×C4⋊C4C22×D1711yescharacteristic
1129C2×C4⋊C4C22×D1711yescharacteristic
1130C2×C4⋊C4C22×D1711yescharacteristic
1131C2×C4⋊C4C22×D1711yescharacteristic
1132C2×C4⋊C4C22×D1711yescharacteristic
1133C2×C4⋊C4C22×D1711yescharacteristic
1134C2×C4⋊C4C22×D1711yescharacteristic
1135C2×C4⋊C4C22×D1711yescharacteristic
1136C2×C4⋊C4C22×D1711yescharacteristic
1137C2×C4⋊C4C22×D1711yescharacteristic
1138C2×C4⋊C4C22×D1711yescharacteristic
1139C2×C4⋊C4C22×D1711yescharacteristic
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⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—344no—
1183C2×C22⋊C4—344no—
1184C2×C22⋊C4C22×D1711yescharacteristic
1185C2×C22⋊C4C22×D1711yescharacteristic
1186C2×C22⋊C4C22×D1711yescharacteristic
1187C2×C22⋊C4C22×D1711yescharacteristic
1188C2×C22⋊C4C22×D1711yescharacteristic
1189C2×C22⋊C4C22×D1711yescharacteristic
1190C2×C42—171no—
1191C2×C42—171no—
1192C2×C42—171no—
1193C2×C42—171no—
1194C2×C42—171no—
1195C2×C42—171no—
1196C2×C42—171no—
1197C2×C42—171no—
1198C2×C42—171no—
1199C2×C42—171no—
1200C2×C42—171no—
1201C2×C42—171no—
1202C2×C42—171no—
1203C2×C42—171no—
1204C2×C42—171no—
1205C2×C42—344no—
1206C2×C42—682no—
1207C2×C42—682no—
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
1211C2×C42C22×D1711yescharacteristic
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95C22×D1711yescharacteristic
1235#95C22×D1711yescharacteristic
1236#95C22×D1711yescharacteristic
1237#95C22×D1711yescharacteristic
1238#95C22×D1711yescharacteristic
1239#95C22×D1711yescharacteristic
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244C17#3482911yescharacteristic, complemented, Sylow
1245C24—171no—
1246C24—171no—
1247C24—171no—
1248C24—171no—
1249C24—171no—
1250C24—342no—
1251C24—342no—
1252C24—342no—
1253C24—342no—
1254C24—342no—
1255C24—681no—
1256C24—681no—
1257C24C23×D1711yescharacteristic
1258#41—6816no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×Q8—342no—
1263C2×Q8—342no—
1264C2×Q8—681no—
1265C2×D4—174no—
1266C2×D4—342no—
1267C2×D4—342no—
1268C2×D4—342no—
1269C2×D4—342no—
1270C2×D4—342no—
1271C2×D4—342no—
1272C2×D4—342no—
1273C2×D4—342no—
1274C2×D4—342no—
1275C2×D4—342no—
1276C2×D4—342no—
1277C2×D4—342no—
1278C2×D4—342no—
1279C2×D4—342no—
1280C2×D4—342no—
1281C2×D4—342no—
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—342no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—681no—
1292C2×D4—681no—
1293C2×D4—681no—
1294C2×D4—681no—
1295C2×D4—681no—
1296C2×D4—681no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—171no—
1305C22×C4—171no—
1306C22×C4—171no—
1307C22×C4—171no—
1308C22×C4—174no—
1309C22×C4—174no—
1310C22×C4—174no—
1311C22×C4—174no—
1312C22×C4—171no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—342no—
1320C22×C4—342no—
1321C22×C4—342no—
1322C22×C4—342no—
1323C22×C4—342no—
1324C22×C4—342no—
1325C22×C4—342no—
1326C22×C4—342no—
1327C22×C4—342no—
1328C22×C4—342no—
1329C22×C4—342no—
1330C22×C4—342no—
1331C22×C4—342no—
1332C22×C4—342no—
1333C22×C4—342no—
1334C22×C4—342no—
1335C22×C4—342no—
1336C22×C4—342no—
1337C22×C4—342no—
1338C22×C4—342no—
1339C22×C4—342no—
1340C22×C4—342no—
1341C22×C4—342no—
1342C22×C4—342no—
1343C22×C4—342no—
1344C22×C4—342no—
1345C22×C4—342no—
1346C22×C4—342no—
1347C22×C4—342no—
1348C22×C4—681no—
1349C22×C4—681no—
1350C22×C4—681no—
1351C22×C4—681no—
1352C22×C4—681no—
1353C22×C4—681no—
1354C22×C4—681no—
1355C22×C4—681no—
1356C22×C4—681no—
1357C22×C4—6816no—
1358C22×C4C23×D1711yescharacteristic
1359C22×C4C23×D1711yescharacteristic
1360C22×C4C23×D1711yescharacteristic
1361C22×C4C23×D1711yescharacteristic
1362C22×C4C23×D1711yescharacteristic
1363C22×C4C23×D1711yescharacteristic
1364C22×C4C23×D1711yescharacteristic
1365C22×C4C23×D1711yescharacteristic
1366C22×C4C23×D1711yescharacteristic
1367C22×C4C23×D1711yescharacteristic
1368C22×C4C23×D1711yescharacteristic
1369C22×C4C23×D1711yescharacteristic
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—41no—
1384C4⋊C4—342no—
1385C4⋊C4—342no—
1386C4⋊C4—342no—
1387C4⋊C4—342no—
1388C4⋊C4—342no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—681no—
1395C4⋊C4—681no—
1396C4⋊C4—681no—
1397C4⋊C4D4×D1714yes—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—41no—
1403C22⋊C4—174no—
1404C22⋊C4—174no—
1405C22⋊C4—174no—
1406C22⋊C4—342no—
1407C22⋊C4—342no—
1408C22⋊C4—342no—
1409C22⋊C4—342no—
1410C22⋊C4—342no—
1411C22⋊C4—342no—
1412C22⋊C4—342no—
1413C22⋊C4—342no—
1414C22⋊C4—342no—
1415C22⋊C4—342no—
1416C22⋊C4—342no—
1417C22⋊C4—342no—
1418C22⋊C4—342no—
1419C22⋊C4—342no—
1420C22⋊C4—342no—
1421C22⋊C4—342no—
1422C22⋊C4—342no—
1423C22⋊C4—342no—
1424C22⋊C4—342no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—681no—
1441C22⋊C4—681no—
1442C22⋊C4—681no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4#6325614yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—41no—
1449C42—41no—
1450C42—174no—
1451C42—342no—
1452C42—342no—
1453C42—342no—
1454C42—342no—
1455C42—342no—
1456C42—342no—
1457C42—342no—
1458C42—342no—
1459C42—342no—
1460C42—342no—
1461C42—342no—
1462C42—681no—
1463C42—681no—
1464C42—681no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—172no—
1472C23—172no—
1473C23—172no—
1474C23—172no—
1475C23—172no—
1476C23—348no—
1477C23—341no—
1478C23—341no—
1479C23—341no—
1480C23—341no—
1481C23—341no—
1482C23—341no—
1483C23—341no—
1484C23—341no—
1485C23—341no—
1486C23—341no—
1487C23—341no—
1488C23—341no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
1492C23—341no—
1493C23—341no—
1494C23—341no—
1495C23—341no—
1496C23—341no—
1497C23—341no—
1498C23—341no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—341no—
1506C23—341no—
1507C23—684no—
1508C23—684no—
1509C23—684no—
1510C23—684no—
1511C23—684no—
1512C23—684no—
1513C23C2×#6325612yes—
1514C23C24×D1711yescharacteristic
1515Q8—44no—
1516Q8—684no—
1517D4—348no—
1518D4—684no—
1519D4—684no—
1520D4—684no—
1521D4—684no—
1522D4—684no—
1523D4—684no—
1524D4—684no—
1525D4—684no—
1526D4—684no—
1527D4—684no—
1528D4—684no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—172no—
1565C2×C4—172no—
1566C2×C4—172no—
1567C2×C4—172no—
1568C2×C4—172no—
1569C2×C4—172no—
1570C2×C4—348no—
1571C2×C4—348no—
1572C2×C4—348no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—684no—
1601C2×C4—684no—
1602C2×C4—684no—
1603C2×C4—684no—
1604C2×C4—684no—
1605C2×C4—684no—
1606C2×C4—684no—
1607C2×C4—684no—
1608C2×C4—684no—
1609C2×C4—684no—
1610C2×C4—684no—
1611C2×C4C2×D4×D1712yes—
1612C2×C4C2×D4×D1712yes—
1613C2×C4C2×D4×D1712yes—
1614C2×C4C2×#6325612yes—
1615C2×C4C2×#6325612yes—
1616C2×C4#41×D1712yes—
1617C2×C4#41×D1712yes—
1618C2×C4#41×D1712yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—174no—
1627C22—342no—
1628C22—342no—
1629C22—342no—
1630C22—342no—
1631C22—342no—
1632C22—342no—
1633C22—342no—
1634C22—342no—
1635C22—342no—
1636C22—342no—
1637C22—342no—
1638C22—342no—
1639C22—6816no—
1640C22—681no—
1641C22—681no—
1642C22—681no—
1643C22—681no—
1644C22—681no—
1645C22—681no—
1646C22—681no—
1647C22—681no—
1648C22—681no—
1649C22—681no—
1650C22—681no—
1651C22—681no—
1652C22—681no—
1653C22—681no—
1654C22—681no—
1655C22—681no—
1656C22—681no—
1657C22—681no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22—681no—
1662C22C22×D4×D1711yescharacteristic
1663C22C2×#41×D1711yescharacteristic
1664C22C2×#41×D1711yescharacteristic
1665C22C2×#41×D1711yescharacteristic
1666C22C22×#6325611yescharacteristic
1667C22H(5,𝔽2)×D1711yescharacteristic
1668C22#1176364611yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—174no—
1684C4—342no—
1685C4—342no—
1686C4—342no—
1687C4—681no—
1688C4—681no—
1689C4—681no—
1690C4—681no—
1691C4—681no—
1692C4—681no—
1693C4—681no—
1694C2—42no—
1695C2—344no—
1696C2—682no—
1697C2—682no—
1698C2—1361no—
1699C2—1361no—
1700C2D17×#53211yescharacteristic
1701C2#1454208111yescharacteristic
1702C2#1454219211yescharacteristic
1703C2D17×#54611yescharacteristic
1704C2D4×#6325611yescharacteristic
1705C2#1454233711yescharacteristic
1706C2#1454239511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2556C2
hypercenter#2556D17
hypocenterC17#34829
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2556

Complements

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

NH ≅ G/Ntype
1. C2×#11763344C2semidirect
2. C2×#11763322C2semidirect
3. #14533924C2semidirect
4. #14533917C2semidirect
5. #14533896C2semidirect
6. #14533889C2semidirect
7. #14533853C2semidirect
8. #14533838C2semidirect
9. #14533831C2semidirect
10. #14533789C2semidirect
11. #14533745C2semidirect
12. #14533711C2semidirect
13. #14533675C2semidirect
14. #14533117C2semidirect
15. #14532908C2semidirect
16. #14532342C2semidirect
17. #14532325C2semidirect
18. #14532061C2semidirect
19. #14532049C2semidirect
20. #14532029C2semidirect
21. #14532002C2semidirect
22. #14531325C2semidirect
23. #14531305C2semidirect
24. #14531296C2semidirect
25. #14531292C2semidirect
26. #14531285C2semidirect
27. #14531273C2semidirect
28. #14531242C2semidirect
29. C4×#10587579C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2556C2semidirect
35. C2×#10587584C22semidirect
36. C2×#10587584C22semidirect
37. C2×#10587561C22semidirect
55. C2×#10587573C22semidirect
62. C2×#10587579C22semidirect
63. C2×#10587579C22semidirect
68. C2×#10587578C22semidirect
69. C2×#10587578C22semidirect
74. C2×C42×D17C22semidirect
75. #11762751C22semidirect
76. #11762747C22semidirect
78. #11762742C22semidirect
79. #11762742C22semidirect
80. #11762741C22semidirect
81. #11762738C22semidirect
82. #11762735C22semidirect
83. #11762735C22semidirect
87. #11762731C22semidirect
88. #11762730C22semidirect
91. #11762726C22semidirect
92. #11762726C22semidirect
98. #11762720C22semidirect
101. #11762719C22semidirect
103. #11762716C22semidirect
104. #11762713C22semidirect
107. #11762711C22semidirect
112. #11762708C22semidirect
113. #11762704C22semidirect
116. #11762701C22semidirect
117. #11762701C22semidirect
118. #11762700C22semidirect
119. #11762700C22semidirect
120. #11762700C22semidirect
122. #11762699C22semidirect
123. #11762699C22semidirect
124. #11762699C22semidirect
125. #11762699C22semidirect
126. #11762690C22semidirect
135. #11762687C22semidirect
136. #11762687C22semidirect
137. #11762687C22semidirect
142. #11762673C22semidirect
144. #11762668C22semidirect
147. C4⋊C4×Dic17C22semidirect
148. C4⋊C4×Dic17C22semidirect
149. C4⋊C4×Dic17C22semidirect
150. C4⋊C4×Dic17C22semidirect
151. #11762660C22semidirect
158. C4×#63227C22semidirect
165. #11762656C22semidirect
166. #11762656C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
173. C42×Dic17C22semidirect
174. C2×C17×#125C22semidirect
177. C17×#398C22semidirect
179. C17×#395C22semidirect
180. C17×#391C22semidirect
181. C17×#389C22semidirect
182. C17×#389C22semidirect
185. C17×#387C22semidirect
187. C4×C4⋊C4×C17C22semidirect
339. #10587579D4semidirect
514. C2×C4×D17#41semidirect
536. C22⋊C4×C17#41semidirect
582. #63227#41semidirect
772. #2556D17semidirect
877. C2×#125C2×D17semidirect
924. #398C2×D17semidirect
934. #395C2×D17semidirect
951. #391C2×D17semidirect
961. #389C2×D17semidirect
962. #389C2×D17semidirect
978. #387C2×D17semidirect
1005. C4×C4⋊C4C2×D17semidirect
1244. C17#34829semidirect
1445. C22⋊C4#63256semidirect

Maximal subgroups

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

subgroupindex
C2×#117633442
C2×#117633222
#145339242
#145339172
#145338962
#145338892
#145338532
#145338382
#145338312
#145337892
#145337452
#145337112
#145336752
#145331172
#145329082
#145323422
#145323252
#145320612
#145320492
#145320292
#145320022
#145313252
#145313052
#145312962
#145312922
#145312852
#145312732
#145312422
C4×#105875792
C4×C22⋊C4×D172
C17×#25562
#3482917