Finite Group Databasebeta

← #17202990

Subgroups — #17202990

Order 4352.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763319C211yesmaximal, characteristic, complemented
2C2×#11763277C211yesmaximal, characteristic, complemented
3#14532985C211yesmaximal, characteristic, complemented
4#14532897C211yesmaximal, characteristic, complemented
5#14532874C211yesmaximal, characteristic, complemented
6#14532809C211yesmaximal, characteristic, complemented
7#14532786C211yesmaximal, characteristic, complemented
8#14532712C211yesmaximal, characteristic, complemented
9#14532689C211yesmaximal, characteristic, complemented
10#14532609C211yesmaximal, characteristic, complemented
11#14532527C211yesmaximal, characteristic, complemented
12#14532465C211yesmaximal, characteristic, complemented
13#14532391C211yesmaximal, characteristic, complemented
14#14532313C211yesmaximal, characteristic, complemented
15#14532239C211yesmaximal, characteristic, complemented
16#14532166C211yesmaximal, characteristic, complemented
17#14532101C211yesmaximal, characteristic, complemented
18#14532072C211yesmaximal, characteristic, complemented
19#14532061C211yesmaximal, characteristic, complemented
20#14532027C211yesmaximal, characteristic, complemented
21#14531998C211yesmaximal, characteristic, complemented
22#14531311C211yesmaximal, characteristic, complemented
23#14531309C211yesmaximal, characteristic, complemented
24#14531300C211yesmaximal, characteristic, complemented
25#14531296C211yesmaximal, characteristic, complemented
26#14531285C211yesmaximal, characteristic, complemented
27#14531269C211yesmaximal, characteristic, complemented
28#14531226C211yesmaximal, characteristic, complemented
29#14531222C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2476C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C22×#63254C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35#11763319—28no—
36C2×#10587569C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587583C2211yescharacteristic
41C2×#10587610C2211yescharacteristic
42C2×#10587570C2211yescharacteristic
43C2×#10587624C2211yescharacteristic
44C2×#10587624C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48#11763277—28no—
49C2×#10587573C2211yescharacteristic, complemented
50C2×#10587573C2211yescharacteristic, complemented
51C2×D4×Dic17C2211yescharacteristic
52C2×D4×Dic17C2211yescharacteristic
53C2×#10587579C2211yescharacteristic
54C2×#10587579C2211yescharacteristic
55C2×#10587579C2211yescharacteristic
56C2×#10587567C2211yescharacteristic
57C2×#10587567C2211yescharacteristic
58C2×#10587567C2211yescharacteristic
59C2×#10587567C2211yescharacteristic
60C2×#10587567C2211yescharacteristic, complemented
61C2×#10587567C2211yescharacteristic, complemented
62C2×#10587567C2211yescharacteristic, complemented
63C2×#10587578C2211yescharacteristic
64C2×#10587558C2211yescharacteristic
65C2×#10587558C2211yescharacteristic, complemented
66C2×#10587563C2211yescharacteristic, complemented
67C2×C22⋊C4×D17C2211yescharacteristic
68C2×C22⋊C4×D17C2211yescharacteristic
69C22×C4×Dic17C2211yescharacteristic, complemented
70C2×C42×D17C2211yescharacteristic
71C2×C42×D17C2211yescharacteristic
72C2×C42×D17C2211yescharacteristic, complemented
73#11762751C2211yescharacteristic, complemented
74#11762749C2211yescharacteristic, complemented
75#11762748C2211yescharacteristic, complemented
76#11762744C2211yescharacteristic
77#11762743C2211yescharacteristic, complemented
78#11762742C2211yescharacteristic, complemented
79#11762737C2211yescharacteristic
80#11762737C2211yescharacteristic, complemented
81#11762737C2211yescharacteristic, complemented
82#11762732C2211yescharacteristic
83#11762731C2211yescharacteristic
84#11762731C2211yescharacteristic
85#11762731C2211yescharacteristic, complemented
86#11762730C2211yescharacteristic, complemented
87#11762729C2211yescharacteristic, complemented
88#11762725C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic
90#11762724C2211yescharacteristic
91#11762724C2211yescharacteristic
92#11762723C2211yescharacteristic
93#11762722C2211yescharacteristic
94#11762722C2211yescharacteristic, complemented
95#11762721C2211yescharacteristic
96#11762721C2211yescharacteristic, complemented
97#11762718C2211yescharacteristic
98#11762718C2211yescharacteristic
99#11762717C2211yescharacteristic
100#11762717C2211yescharacteristic, complemented
101#11762713C2211yescharacteristic, complemented
102#11762713C2211yescharacteristic, complemented
103#11762709C2211yescharacteristic
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic, complemented
106#11762707C2211yescharacteristic, complemented
107#11762704C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic
109#11762703C2211yescharacteristic
110#11762703C2211yescharacteristic
111#11762703C2211yescharacteristic, complemented
112#11762702C2211yescharacteristic, complemented
113#11762700C2211yescharacteristic
114#11762700C2211yescharacteristic, complemented
115#11762698C2211yescharacteristic
116#11762697C2211yescharacteristic, complemented
117#11762696C2211yescharacteristic, complemented
118#11762696C2211yescharacteristic, complemented
119#11762695C2211yescharacteristic, complemented
120#11762694C2211yescharacteristic, complemented
121#11762693C2211yescharacteristic, complemented
122#11762693C2211yescharacteristic, complemented
123#11762691C2211yescharacteristic, complemented
124#11762689C2211yescharacteristic, complemented
125#11762688C2211yescharacteristic
126#11762688C2211yescharacteristic
127#11762687C2211yescharacteristic
128#11762687C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762686C2211yescharacteristic
133#11762685C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic, complemented
139#11762683C2211yescharacteristic
140#11762683C2211yescharacteristic, complemented
141#11762682C2211yescharacteristic, complemented
142#11762680C2211yescharacteristic
143#11762680C2211yescharacteristic
144#11762680C2211yescharacteristic
145#11762680C2211yescharacteristic
146#11762680C2211yescharacteristic, complemented
147#11762671C2211yescharacteristic
148#11762670C2211yescharacteristic, complemented
149#11762668C2211yescharacteristic
150#11762666C2211yescharacteristic, complemented
151#11762664C2211yescharacteristic
152C4⋊C4×Dic17C2211yescharacteristic, complemented
153C4⋊C4×Dic17C2211yescharacteristic, complemented
154#11762660C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic
157C22⋊C4×Dic17C2211yescharacteristic
158C22⋊C4×Dic17C2211yescharacteristic
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C22⋊C4×Dic17C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic
165C4×C22⋊Dic17C2211yescharacteristic
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic
168#11762656C2211yescharacteristic
169#11762656C2211yescharacteristic
170#11762656C2211yescharacteristic, complemented
171#11762654C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic
173#95×D17C2211yescharacteristic
174C2×C17×#121C2211yescharacteristic
175C2×C17×#117C2211yescharacteristic, complemented
176C17×#398C2211yescharacteristic, complemented
177C17×#394C2211yescharacteristic
178C17×#394C2211yescharacteristic
179C17×#394C2211yescharacteristic, complemented
180C17×#390C2211yescharacteristic
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic, complemented
184C17×#387C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic
186C17×#386C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic
188C4×C22⋊C4×C17C2211yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C2×#63254—24no—
207C2×#63254—24no—
208C2×#63254—42no—
209C2×#63252—24no—
210C2×#63252—24no—
211C2×#63252—24no—
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×C4×D17—24no—
215C22×C4×D17—24no—
216C22×C4×D17—42no—
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×Dic34C2311yescharacteristic
229C22×Dic34C2311yescharacteristic
230C17×#121—24no—
231C17×#117—24no—
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×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252C2×C42×C17C2311yescharacteristic
253C2×C42×C17C2311yescharacteristic
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
266#10587624—24no—
267#10587624—24no—
268#10587623—24no—
269#10587623—24no—
270#10587621—24no—
271D4×Dic17—24no—
272D4×Dic17—24no—
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
299#10587610—24no—
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×C4×Dic17—24no—
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328#10587583—24no—
329#10587579—24no—
330#10587579—24no—
331#10587579—24no—
332#10587578—24no—
333#10587573—24no—
334#10587573—24no—
335#10587570—24no—
336#10587569—24no—
337#10587569—24no—
338#10587569—24no—
339#10587568—24no—
340#10587567—24no—
341#10587567—24no—
342#10587567—24no—
343#10587567—24no—
344#10587567—42no—
345#10587567—42no—
346#10587567D418yescomplemented
347C22⋊C4×D17—24no—
348C22⋊C4×D17—24no—
349#10587563—42no—
350#10587558—24no—
351#10587558—24no—
352C42×D17—24no—
353C42×D17—24no—
354C42×D17—42no—
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
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
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
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—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—41no—
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
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
430C22×C4×C17C2411yescharacteristic
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—22no—
437C2×C22⋊D17—22no—
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17C2×D414yes—
452C22×Dic17—22no—
453C22×Dic17—22no—
454C22×Dic17—22no—
455C22×Dic17—22no—
456C22×Dic17—22no—
457C22×Dic17—22no—
458C22×Dic17—22no—
459C22×Dic17—22no—
460C22×Dic17—22no—
461C22×Dic17—22no—
462C22×Dic17—41no—
463C22×Dic17C2×D414yes—
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477#63254—416no—
478#63252—232no—
479C2×D68—22no—
480C2×D68—22no—
481C2×D68—22no—
482C2×D68—22no—
483C2×D68—41no—
484C2×D68#4114yescomplemented
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—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—416no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17C2×D414yes—
517C2×C4×D17#4114yescomplemented
518C2×C4×D17#4114yescomplemented
519C2×Dic34—22no—
520C2×Dic34—22no—
521C2×Dic34—22no—
522C2×Dic34—22no—
523C2×Dic34—22no—
524C2×Dic34—41no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—22no—
527C4⋊C4×C17—22no—
528C4⋊C4×C17—22no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17—41no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17C2×D414yes—
544C42×C17—22no—
545C42×C17—22no—
546C42×C17—41no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—22no—
555C22⋊Dic17—22no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17#4114yescomplemented
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#63227C2×D414yes—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—22no—
583C4⋊Dic17—22no—
584C4⋊Dic17—22no—
585#63225—22no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—41no—
594#63225—41no—
595#63225—41no—
596#63225—41no—
597#63225C2×D414yes—
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—22no—
608C4×Dic17—22no—
609C4×Dic17—22no—
610C4×Dic17—41no—
611C4×Dic17C2×D414yes—
612#34732—171nomaximal, Sylow
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—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17C22×D412yes—
633C23×C17C2×#4112yes—
634C23×C17C2511yescharacteristic
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—28no—
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—21no—
652C22×D17—44no—
653C22×D17—44no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17C22×D412yes—
659C22×D17C2×#4112yes—
660C22×D17C2×#4112yes—
661C22×D17C2×#4112yes—
662C22×D17C2×#4112yes—
663D4×C17—44no—
664D4×C17—44no—
665D4×C17—44no—
666C2×C4×C17—28no—
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—21no—
698C2×C4×C17—44no—
699C2×C4×C17C22×D412yes—
700C2×C4×C17C22×D412yes—
701C2×C4×C17C2×#4112yes—
702C2×C4×C17C2×#4112yes—
703C2×C4×C17C2×#4112yes—
704C22⋊D17—28no—
705C22⋊D17—28no—
706C22⋊D17—44no—
707C22⋊D17—44no—
708C22⋊D17—44no—
709C22⋊D17—44no—
710C22⋊D17—44no—
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—28no—
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—44no—
744C2×Dic17—44no—
745C2×Dic17—44no—
746C2×Dic17C22×D412yes—
747C2×Dic17C22×D412yes—
748C2×Dic17C22×D412yes—
749C2×Dic17C2×#4112yes—
750C2×Dic17C2×#4112yes—
751C2×Dic17C2×#4112yes—
752C2×Dic17C2×#4112yes—
753C2×Dic17H(5,𝔽2)12yes—
754D68—28no—
755D68—44no—
756C4×D17—28no—
757C4×D17—28no—
758C4×D17—28no—
759C4×D17—28no—
760C4×D17—44no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764C4×D17—44no—
765C4×D17—44no—
766C4×D17—44no—
767Dic34—28no—
768Dic34—44no—
769C2×#525—171no—
770C2×C4×#41—171no—
771#2477—171no—
772#2476D1711yescharacteristic, complemented
773#2471—171no—
774#2470—171no—
775#2465—171no—
776#2464—171no—
777#2458—171no—
778#2457—171no—
779#2450—171no—
780#2444—171no—
781#2438—171no—
782#2430—171no—
783#2424—171no—
784#2418—171no—
785#2411—171no—
786#2404—171no—
787#2398—171no—
788#2396—171no—
789#2392—171no—
790#2388—171no—
791C4×#123—171no—
792C4×#123—171no—
793C4×#121—171no—
794C4×#121—171no—
795C4×#120—171no—
796#2297—171no—
797#2290—171no—
798#2290—171no—
799C2×C4×C22⋊C4—171no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
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—41no—
821C22×C17C23×D411yescharacteristic
822C22×C17C22×#4111yescharacteristic
823C22×C17C22×#4111yescharacteristic
824C22×C17C22×#4111yescharacteristic
825C22×C17C22×#4111yescharacteristic
826C22×C17C2×H(5,𝔽2)11yescharacteristic
827C22×C17#58511yescharacteristic
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—22no—
834C2×D17—22no—
835C2×D17—22no—
836C2×D17—22no—
837C2×D17—22no—
838C2×D17—22no—
839C2×D17—22no—
840C2×D17—416no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17#52514yes—
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—
861C4×C17—41no—
862Dic17—22no—
863Dic17—22no—
864Dic17—22no—
865Dic17—22no—
866Dic17—22no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17#54614yes—
875C22×#41—171no—
876C22×#41—171no—
877C24×C4—171no—
878#525—348no—
879C2×#123—171no—
880C2×#123—171no—
881C2×#123—171no—
882C2×#123—171no—
883C2×C22⋊Q8—171no—
884C2×C22⋊Q8—171no—
885C2×#121—171no—
886C2×#121—171no—
887C2×#121—171no—
888C2×#121C2×D1711yescharacteristic
889C2×#120—171no—
890C2×#120—171no—
891C2×#120—171no—
892C4×#41—348no—
893C2×C4×Q8—171no—
894C2×C4×Q8—171no—
895C2×C4×D4—171no—
896C2×C4×D4—171no—
897C2×C4×D4—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×#117—171no—
908C2×#117—171no—
909C2×#117—171no—
910C2×#117—171no—
911C2×#117C2×D1711yescharacteristic, complemented
912C22×C22⋊C4—171no—
913C22×C22⋊C4—171no—
914C22×C42—171no—
915C22×C42—171no—
916C22×C42—171no—
917C22×C42—171no—
918#400—171no—
919#400—171no—
920#400—171no—
921#399—171no—
922#398—171no—
923#398—171no—
924#398C2×D1711yescharacteristic, complemented
925#397—171no—
926#397—171no—
927#397—171no—
928#396—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#395—171no—
933#395—171no—
934#394—171no—
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394C2×D1711yescharacteristic
940#394C2×D1711yescharacteristic
941#394C2×D1711yescharacteristic, complemented
942#393—171no—
943#393—171no—
944#393—171no—
945#393—171no—
946#392—171no—
947#392—171no—
948#392—171no—
949#392—171no—
950#391—171no—
951#391—171no—
952#390—171no—
953#390—171no—
954#390—171no—
955#390C2×D1711yescharacteristic
956#389—171no—
957#389—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#388C2×D1711yescharacteristic, complemented
968#388C2×D1711yescharacteristic, complemented
969#388C2×D1711yescharacteristic, complemented
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#387—171no—
976#387—171no—
977#387C2×D1711yescharacteristic, complemented
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#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#386—171no—
992#386—171no—
993#386C2×D1711yescharacteristic
994#386C2×D1711yescharacteristic, complemented
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#385—171no—
1002#385—171no—
1003#385C2×D1711yescharacteristic
1004#381—171no—
1005#381—171no—
1006#380—171no—
1007#380—171no—
1008#379—171no—
1009C4×C4⋊C4—171no—
1010C4×C4⋊C4—171no—
1011C4×C4⋊C4—171no—
1012C4×C4⋊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⋊C4—171no—
1026C4×C22⋊C4—171no—
1027C4×C22⋊C4—171no—
1028C4×C22⋊C4C2×D1711yescharacteristic
1029#376—171no—
1030C2×#95—171no—
1031C2×#95—171no—
1032C2×C17—42no—
1033C2×C17—42no—
1034C2×C17—81no—
1035C2×C17C2×#52511yescharacteristic
1036C2×C17#344411yescharacteristic
1037C2×C17#346011yescharacteristic
1038C2×C17C2×#54611yescharacteristic
1039C2×C17D4×#4111yescharacteristic
1040C2×C17#347511yescharacteristic
1041C2×C17#348111yescharacteristic
1042D17—24no—
1043D17—42no—
1044D17—42no—
1045C25—171no—
1046C2×#41—344no—
1047C2×#41—344no—
1048C2×#41—344no—
1049C2×#41—344no—
1050C2×#41—344no—
1051C2×#41—682no—
1052C22×Q8—171no—
1053C22×Q8—171no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4—171no—
1062C22×D4—171no—
1063C22×D4C22×D1711yescharacteristic
1064C22×D4C22×D1711yescharacteristic
1065C22×D4C22×D1711yescharacteristic
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—171no—
1075C23×C4—171no—
1076C23×C4—171no—
1077C23×C4—171no—
1078C23×C4—171no—
1079C23×C4—171no—
1080C23×C4—171no—
1081C23×C4—344no—
1082C23×C4—344no—
1083C23×C4—682no—
1084C23×C4C22×D1711yescharacteristic
1085C23×C4C22×D1711yescharacteristic
1086#123—344no—
1087#123—344no—
1088#123—344no—
1089#123—344no—
1090C22⋊Q8—344no—
1091C22⋊Q8—344no—
1092#121—24no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—344no—
1100C4×Q8—344no—
1101C4×D4—178no—
1102C4×D4—344no—
1103C4×D4—344no—
1104C4×D4—344no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—344no—
1110C4×D4—344no—
1111C4×D4—682no—
1112C4×D4—682no—
1113#117—24no—
1114#117—344no—
1115#117—344no—
1116#117—344no—
1117#117—682no—
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⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4C22×D1711yescharacteristic
1137C2×C4⋊C4C22×D1711yescharacteristic
1138C2×C4⋊C4C22×D1711yescharacteristic
1139C2×C4⋊C4C22×D1711yescharacteristic
1140C2×C4⋊C4C22×D1711yescharacteristic
1141C2×C4⋊C4C22×D1711yescharacteristic
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—344no—
1176C2×C22⋊C4—344no—
1177C2×C22⋊C4C22×D1711yescharacteristic
1178C2×C22⋊C4C22×D1711yescharacteristic
1179C2×C22⋊C4C22×D1711yescharacteristic
1180C2×C22⋊C4C22×D1711yescharacteristic
1181C2×C22⋊C4C22×D1711yescharacteristic
1182C2×C22⋊C4C22×D1711yescharacteristic
1183C2×C22⋊C4C22×D1711yescharacteristic
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—344no—
1205C2×C42—344no—
1206C2×C42—344no—
1207C2×C42—682no—
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
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—
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#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95C22×D1711yescharacteristic
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244#95C22×D1711yescharacteristic
1245#95C22×D1711yescharacteristic
1246#95C22×D1711yescharacteristic
1247C17#3473211yescharacteristic, complemented, Sylow
1248C24—171no—
1249C24—171no—
1250C24—171no—
1251C24—342no—
1252C24—342no—
1253C24—342no—
1254C24—342no—
1255C24—342no—
1256C24—681no—
1257C24—681no—
1258C24C23×D1711yescharacteristic
1259C24C23×D1711yescharacteristic
1260C24C23×D1711yescharacteristic
1261#41—3432no—
1262#41—6816no—
1263C2×Q8—342no—
1264C2×Q8—342no—
1265C2×Q8—342no—
1266C2×Q8—342no—
1267C2×Q8—342no—
1268C2×Q8—681no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—174no—
1279C2×D4—174no—
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—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—342no—
1299C2×D4—342no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4—681no—
1303C2×D4—681no—
1304C2×D4—681no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—171no—
1312C22×C4—174no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—174no—
1319C22×C4—174no—
1320C22×C4—174no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
1327C22×C4—171no—
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—342no—
1349C22×C4—342no—
1350C22×C4—342no—
1351C22×C4—342no—
1352C22×C4—342no—
1353C22×C4—342no—
1354C22×C4—342no—
1355C22×C4—342no—
1356C22×C4—342no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—681no—
1362C22×C4—681no—
1363C22×C4—681no—
1364C22×C4—681no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4—681no—
1368C22×C4—6816no—
1369C22×C4—681no—
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C22×C4C23×D1711yescharacteristic
1373C22×C4C23×D1711yescharacteristic
1374C22×C4C23×D1711yescharacteristic
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—174no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—342no—
1395C4⋊C4—342no—
1396C4⋊C4—342no—
1397C4⋊C4—342no—
1398C4⋊C4—342no—
1399C4⋊C4—342no—
1400C4⋊C4—342no—
1401C4⋊C4—342no—
1402C4⋊C4—681no—
1403C4⋊C4—681no—
1404C4⋊C4—681no—
1405C4⋊C4—681no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—174no—
1419C22⋊C4—174no—
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—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4D4×D1714yes—
1452C42—22no—
1453C42—22no—
1454C42—41no—
1455C42—174no—
1456C42—342no—
1457C42—342no—
1458C42—342no—
1459C42—342no—
1460C42—342no—
1461C42—342no—
1462C42—342no—
1463C42—342no—
1464C42—342no—
1465C42—342no—
1466C42—342no—
1467C42—342no—
1468C42—681no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—172no—
1489C23—172no—
1490C23—172no—
1491C23—172no—
1492C23—172no—
1493C23—348no—
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—341no—
1508C23—341no—
1509C23—341no—
1510C23—684no—
1511C23—684no—
1512C23—684no—
1513C23—684no—
1514C23—684no—
1515C23—684no—
1516C23C2×D4×D1712yes—
1517C23#41×D1712yes—
1518C23C24×D1711yescharacteristic
1519Q8—348no—
1520Q8—684no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—348no—
1525D4—348no—
1526D4—348no—
1527D4—684no—
1528D4—684no—
1529D4—684no—
1530D4—684no—
1531D4—684no—
1532D4—684no—
1533C2×C4—28no—
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—21no—
1564C2×C4—21no—
1565C2×C4—44no—
1566C2×C4—172no—
1567C2×C4—172no—
1568C2×C4—172no—
1569C2×C4—172no—
1570C2×C4—172no—
1571C2×C4—172no—
1572C2×C4—172no—
1573C2×C4—172no—
1574C2×C4—348no—
1575C2×C4—348no—
1576C2×C4—348no—
1577C2×C4—348no—
1578C2×C4—348no—
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—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—684no—
1611C2×C4—684no—
1612C2×C4—684no—
1613C2×C4—684no—
1614C2×C4—684no—
1615C2×C4—684no—
1616C2×C4—684no—
1617C2×C4—684no—
1618C2×C4—684no—
1619C2×C4—684no—
1620C2×C4C2×D4×D1712yes—
1621C2×C4C2×D4×D1712yes—
1622C2×C4#41×D1712yes—
1623C2×C4#41×D1712yes—
1624C2×C4#41×D1712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—174no—
1647C22—342no—
1648C22—342no—
1649C22—342no—
1650C22—342no—
1651C22—342no—
1652C22—342no—
1653C22—342no—
1654C22—342no—
1655C22—342no—
1656C22—342no—
1657C22—342no—
1658C22—342no—
1659C22—6816no—
1660C22—681no—
1661C22—681no—
1662C22—681no—
1663C22—681no—
1664C22—681no—
1665C22—681no—
1666C22—681no—
1667C22—681no—
1668C22C22×D4×D1711yescharacteristic
1669C22C2×#41×D1711yescharacteristic
1670C22C2×#41×D1711yescharacteristic
1671C22C2×#41×D1711yescharacteristic
1672C22C2×#41×D1711yescharacteristic
1673C22H(5,𝔽2)×D1711yescharacteristic
1674C22#1176364411yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—174no—
1688C4—342no—
1689C4—342no—
1690C4—342no—
1691C4—342no—
1692C4—342no—
1693C4—681no—
1694C4—681no—
1695C4—681no—
1696C4—681no—
1697C4—681no—
1698C4—681no—
1699C4—681no—
1700C2—42no—
1701C2—42no—
1702C2—81no—
1703C2—344no—
1704C2—682no—
1705C2—682no—
1706C2D17×#52511yescharacteristic
1707C2#1454207811yescharacteristic
1708C2#1454219911yescharacteristic
1709C2D17×#54611yescharacteristic
1710C2#1454226811yescharacteristic
1711C2#1454234111yescharacteristic
1712C2#1454239111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2476C2
hypercenter#2476D17
hypocenterC17#34732
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2476

Complements

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

NH ≅ G/Ntype
1. C2×#11763319C2semidirect
2. C2×#11763277C2semidirect
3. #14532985C2semidirect
4. #14532897C2semidirect
5. #14532874C2semidirect
6. #14532809C2semidirect
7. #14532786C2semidirect
8. #14532712C2semidirect
9. #14532689C2semidirect
10. #14532609C2semidirect
11. #14532527C2semidirect
12. #14532465C2semidirect
13. #14532391C2semidirect
14. #14532313C2semidirect
15. #14532239C2semidirect
16. #14532166C2semidirect
17. #14532101C2semidirect
18. #14532072C2semidirect
19. #14532061C2semidirect
20. #14532027C2semidirect
21. #14531998C2semidirect
22. #14531311C2semidirect
23. #14531309C2semidirect
24. #14531300C2semidirect
25. #14531296C2semidirect
26. #14531285C2semidirect
27. #14531269C2semidirect
28. #14531226C2semidirect
29. #14531222C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2476C2semidirect
49. C2×#10587573C22semidirect
50. C2×#10587573C22semidirect
60. C2×#10587567C22semidirect
61. C2×#10587567C22semidirect
62. C2×#10587567C22semidirect
65. C2×#10587558C22semidirect
66. C2×#10587563C22semidirect
69. C22×C4×Dic17C22semidirect
72. C2×C42×D17C22semidirect
73. #11762751C22semidirect
74. #11762749C22semidirect
75. #11762748C22semidirect
77. #11762743C22semidirect
78. #11762742C22semidirect
80. #11762737C22semidirect
81. #11762737C22semidirect
85. #11762731C22semidirect
86. #11762730C22semidirect
87. #11762729C22semidirect
88. #11762725C22semidirect
94. #11762722C22semidirect
96. #11762721C22semidirect
100. #11762717C22semidirect
101. #11762713C22semidirect
102. #11762713C22semidirect
105. #11762709C22semidirect
106. #11762707C22semidirect
107. #11762704C22semidirect
111. #11762703C22semidirect
112. #11762702C22semidirect
114. #11762700C22semidirect
116. #11762697C22semidirect
117. #11762696C22semidirect
118. #11762696C22semidirect
119. #11762695C22semidirect
120. #11762694C22semidirect
121. #11762693C22semidirect
122. #11762693C22semidirect
123. #11762691C22semidirect
124. #11762689C22semidirect
138. #11762685C22semidirect
140. #11762683C22semidirect
141. #11762682C22semidirect
146. #11762680C22semidirect
148. #11762670C22semidirect
150. #11762666C22semidirect
152. C4⋊C4×Dic17C22semidirect
153. C4⋊C4×Dic17C22semidirect
154. #11762660C22semidirect
155. #11762660C22semidirect
159. C22⋊C4×Dic17C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C22⋊C4×Dic17C22semidirect
162. C22⋊C4×Dic17C22semidirect
170. #11762656C22semidirect
171. #11762654C22semidirect
175. C2×C17×#117C22semidirect
176. C17×#398C22semidirect
179. C17×#394C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
183. C17×#388C22semidirect
184. C17×#387C22semidirect
186. C17×#386C22semidirect
346. #10587567D4semidirect
484. C2×D68#41semidirect
517. C2×C4×D17#41semidirect
518. C2×C4×D17#41semidirect
558. C22⋊Dic17#41semidirect
772. #2476D17semidirect
911. C2×#117C2×D17semidirect
924. #398C2×D17semidirect
941. #394C2×D17semidirect
967. #388C2×D17semidirect
968. #388C2×D17semidirect
969. #388C2×D17semidirect
977. #387C2×D17semidirect
994. #386C2×D17semidirect
1247. C17#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#117633192
C2×#117632772
#145329852
#145328972
#145328742
#145328092
#145327862
#145327122
#145326892
#145326092
#145325272
#145324652
#145323912
#145323132
#145322392
#145321662
#145321012
#145320722
#145320612
#145320272
#145319982
#145313112
#145313092
#145313002
#145312962
#145312852
#145312692
#145312262
#145312222
C4×C22⋊C4×D172
C17×#24762
#3473217