Finite Group Databasebeta

← #17205275

Subgroups — #17205275

Order 4352.

2802 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763277C211yesmaximal, characteristic, complemented
2C2×#117×D17C211yesmaximal, characteristic, complemented
3#14534461C211yesmaximal, characteristic, complemented
4#14534456C211yesmaximal, characteristic, complemented
5#14534456C211yesmaximal, characteristic, complemented
6#14534359C211yesmaximal, characteristic, complemented
7#14534357C211yesmaximal, characteristic, complemented
8#14534348C211yesmaximal, characteristic, complemented
9#14534346C211yesmaximal, characteristic, complemented
10#14534132C211yesmaximal, characteristic, complemented
11#14534126C211yesmaximal, characteristic, complemented
12#14533675C211yesmaximal, characteristic, complemented
13#14533669C211yesmaximal, characteristic, complemented
14#14533069C211yesmaximal, characteristic, complemented
15#14533056C211yesmaximal, characteristic, complemented
16#14532117C211yesmaximal, characteristic, complemented
17#14532101C211yesmaximal, characteristic
18#14532061C211yesmaximal, characteristic, complemented
19#14532059C211yesmaximal, characteristic, complemented
20#14532029C211yesmaximal, characteristic, complemented
21#14532027C211yesmaximal, characteristic, complemented
22#14531311C211yesmaximal, characteristic, complemented
23#14531305C211yesmaximal, characteristic, complemented
24#14531289C211yesmaximal, characteristic, complemented
25#14531285C211yesmaximal, characteristic, complemented
26#14531226C211yesmaximal, characteristic, complemented
27#14531224C211yesmaximal, characteristic, complemented
28#14531222C211yesmaximal, characteristic, complemented
29#14531220C211yesmaximal, characteristic, complemented
30#14531177C211yesmaximal, characteristic, complemented
31C17×#2609C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587580C2211yescharacteristic
35C2×#10587569C2211yescharacteristic
36C2×#10587568C2211yescharacteristic
37C2×#10587623C2211yescharacteristic
38#11763277—28no—
39C2×#10587573C2211yescharacteristic, complemented
40C2×#10587573C2211yescharacteristic, complemented
41C2×D4×Dic17C2211yescharacteristic
42C2×#10587579C2211yescharacteristic
43C2×#10587579C2211yescharacteristic
44C2×#10587579C2211yescharacteristic
45C2×#10587567C2211yescharacteristic
46C2×#10587567C2211yescharacteristic
47C2×#10587567C2211yescharacteristic
48C2×#10587567C2211yescharacteristic
49C2×#10587567C2211yescharacteristic, complemented
50C2×#10587567C2211yescharacteristic, complemented
51C2×#10587612C2211yescharacteristic
52C2×#10587578C2211yescharacteristic
53C2×#10587578C2211yescharacteristic
54C2×#10587558C2211yescharacteristic
55C2×#10587558C2211yescharacteristic
56C2×#10587558C2211yescharacteristic
57C2×#10587558C2211yescharacteristic, complemented
58C2×#10587563C2211yescharacteristic
59C2×#10587563C2211yescharacteristic
60#117×D17—28no—
61C2×C4⋊C4×D17C2211yescharacteristic
62C2×C4⋊C4×D17C2211yescharacteristic
63C2×C22⋊C4×D17C2211yescharacteristic
64C2×C22⋊C4×D17C2211yescharacteristic
65C22×C4×Dic17C2211yescharacteristic, complemented
66C2×C42×D17C2211yescharacteristic
67C2×C42×D17C2211yescharacteristic
68C2×C42×D17C2211yescharacteristic, complemented
69#11762751C2211yescharacteristic, complemented
70#11762750C2211yescharacteristic, complemented
71#11762745C2211yescharacteristic
72#11762744C2211yescharacteristic
73#11762743C2211yescharacteristic, complemented
74#11762742C2211yescharacteristic, complemented
75#11762742C2211yescharacteristic, complemented
76#11762742C2211yescharacteristic, complemented
77#11762739C2211yescharacteristic, complemented
78#11762738C2211yescharacteristic
79#11762737C2211yescharacteristic
80#11762732C2211yescharacteristic
81#11762732C2211yescharacteristic, complemented
82#11762731C2211yescharacteristic
83#11762731C2211yescharacteristic
84#11762731C2211yescharacteristic, complemented
85#11762731C2211yescharacteristic, complemented
86#11762730C2211yescharacteristic, complemented
87#11762729C2211yescharacteristic, complemented
88#11762726C2211yescharacteristic
89#11762725C2211yescharacteristic
90#11762725C2211yescharacteristic
91#11762725C2211yescharacteristic, complemented
92#11762724C2211yescharacteristic, complemented
93#11762722C2211yescharacteristic
94#11762721C2211yescharacteristic
95#11762718C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762703C2211yescharacteristic
98#11762702C2211yescharacteristic
99#11762701C2211yescharacteristic
100#11762701C2211yescharacteristic, complemented
101#11762700C2211yescharacteristic
102#11762700C2211yescharacteristic, complemented
103#11762699C2211yescharacteristic
104#11762698C2211yescharacteristic
105#11762697C2211yescharacteristic
106#11762697C2211yescharacteristic, complemented
107#11762696C2211yescharacteristic, complemented
108#11762695C2211yescharacteristic, complemented
109#11762694C2211yescharacteristic, complemented
110#11762694C2211yescharacteristic, complemented
111#11762693C2211yescharacteristic, complemented
112#11762693C2211yescharacteristic, complemented
113#11762692C2211yescharacteristic, complemented
114#11762691C2211yescharacteristic, complemented
115#11762690C2211yescharacteristic, complemented
116#11762690C2211yescharacteristic, complemented
117#11762689C2211yescharacteristic
118#11762688C2211yescharacteristic
119#11762688C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762687C2211yescharacteristic
122#11762687C2211yescharacteristic
123#11762687C2211yescharacteristic
124#11762687C2211yescharacteristic
125#11762686C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762684C2211yescharacteristic, complemented
132#11762683C2211yescharacteristic
133#11762683C2211yescharacteristic
134#11762683C2211yescharacteristic
135#11762683C2211yescharacteristic, complemented
136#11762683C2211yescharacteristic, complemented
137#11762682C2211yescharacteristic
138#11762682C2211yescharacteristic, complemented
139#11762681C2211yescharacteristic, complemented
140#11762680C2211yescharacteristic
141#11762680C2211yescharacteristic
142#11762680C2211yescharacteristic
143#11762680C2211yescharacteristic, complemented
144#11762680C2211yescharacteristic, complemented
145#11762676C2211yescharacteristic, complemented
146#11762676C2211yescharacteristic, complemented
147#11762675C2211yescharacteristic, complemented
148#11762671C2211yescharacteristic
149#11762671C2211yescharacteristic
150#11762671C2211yescharacteristic
151#11762671C2211yescharacteristic
152#11762666C2211yescharacteristic
153#11762666C2211yescharacteristic
154#11762664C2211yescharacteristic
155#11762664C2211yescharacteristic
156C4⋊C4×Dic17C2211yescharacteristic, complemented
157C4⋊C4×Dic17C2211yescharacteristic, complemented
158C4⋊C4×Dic17C2211yescharacteristic, complemented
159C4⋊C4×Dic17C2211yescharacteristic, complemented
160#11762660C2211yescharacteristic, complemented
161#11762660C2211yescharacteristic, complemented
162C22⋊C4×Dic17C2211yescharacteristic
163C22⋊C4×Dic17C2211yescharacteristic
164C22⋊C4×Dic17C2211yescharacteristic, complemented
165C22⋊C4×Dic17C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic
168#11762656C2211yescharacteristic
169#11762656C2211yescharacteristic
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#11762654C2211yescharacteristic, complemented
173#11762654C2211yescharacteristic, complemented
174C2×C17×#117C2211yescharacteristic
175C2×C17×#117C2211yescharacteristic, complemented
176C17×#398C2211yescharacteristic, complemented
177C17×#396C2211yescharacteristic
178C17×#396C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic
180C17×#388C2211yescharacteristic
181C17×#388C2211yescharacteristic, complemented
182C17×#387C2211yescharacteristic, complemented
183C17×#387C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic
185C17×#386C2211yescharacteristic
186C17×#385C2211yescharacteristic
187C17×#385C2211yescharacteristic, complemented
188C17×#382C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C23×Dic17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C2×#63252—24no—
201C2×#63252—24no—
202C2×#63252—24no—
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×C4×D17—24no—
206C22×C4×D17—24no—
207C22×C4×D17—24no—
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
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×Dic34C2311yescharacteristic
220C17×#117—24no—
221C17×#117—24no—
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252#10587623—24no—
253D4×Dic17—24no—
254C2×#63227C2311yescharacteristic
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
278#10587612—24no—
279C2×C4⋊Dic17C2311yescharacteristic
280C2×C4⋊Dic17C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×C4×Dic17—24no—
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
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
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316#10587580—24no—
317#10587579—24no—
318#10587579—24no—
319#10587579—24no—
320#10587578—24no—
321#10587578—24no—
322C4⋊C4×D17—24no—
323C4⋊C4×D17—24no—
324#10587573—24no—
325#10587573—24no—
326#10587569—24no—
327#10587568—24no—
328#10587567—24no—
329#10587567—24no—
330#10587567—24no—
331#10587567—24no—
332#10587567—24no—
333#10587567—24no—
334C22⋊C4×D17—24no—
335C22⋊C4×D17—24no—
336#10587563—24no—
337#10587563—24no—
338#10587558—24no—
339#10587558—24no—
340#10587558—24no—
341#10587558—24no—
342C42×D17—24no—
343C42×D17—24no—
344C42×D17D418yescomplemented
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—22no—
390C23×D17—22no—
391C23×D17—22no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—41no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17#4114yes—
431C22×Dic17—22no—
432C22×Dic17—22no—
433C22×Dic17—22no—
434C22×Dic17—22no—
435C22×Dic17—22no—
436C22×Dic17—22no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17#4114yescomplemented
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453#63252—232no—
454C2×D68—22no—
455C2×D68—22no—
456C2×D68—22no—
457C2×D68—22no—
458C2×D68—41no—
459C2×D68#4114yes—
460C2×C4×D17—232no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
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—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17C2×D414yes—
491C2×C4×D17C2×D414yes—
492C2×C4×D17C2×D414yes—
493C2×C4×D17#4114yescomplemented
494C2×Dic34—22no—
495C2×Dic34—22no—
496C2×Dic34—22no—
497C4⋊C4×C17—22no—
498C4⋊C4×C17—22no—
499C4⋊C4×C17—22no—
500C4⋊C4×C17—22no—
501C4⋊C4×C17—22no—
502C4⋊C4×C17—22no—
503C4⋊C4×C17—41no—
504C4⋊C4×C17—41no—
505C4⋊C4×C17—41no—
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×C17—41no—
515C22⋊C4×C17—41no—
516C42×C17—22no—
517C42×C17—22no—
518C42×C17C2×D414yes—
519C22⋊Dic17—22no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—22no—
523C22⋊Dic17—22no—
524C22⋊Dic17—22no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527#63227—22no—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—22no—
538#63227—22no—
539#63227—22no—
540#63227—22no—
541#63227—22no—
542#63227—22no—
543#63227—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551C4⋊Dic17—22no—
552C4⋊Dic17—22no—
553C4⋊Dic17—22no—
554C4⋊Dic17—22no—
555C4⋊Dic17—41no—
556C4⋊Dic17—41no—
557C4⋊Dic17—41no—
558#63225—22no—
559#63225—22no—
560#63225—22no—
561#63225—22no—
562#63225—22no—
563#63225—22no—
564#63225—22no—
565#63225—22no—
566#63225—22no—
567#63225—22no—
568#63225—22no—
569#63225—22no—
570#63225—41no—
571#63225—41no—
572C4×Dic17—22no—
573C4×Dic17—22no—
574C4×Dic17—22no—
575C4×Dic17—22no—
576C4×Dic17—22no—
577C4×Dic17—22no—
578C4×Dic17—22no—
579C4×Dic17—22no—
580C4×Dic17—22no—
581C4×Dic17—22no—
582C4×Dic17—22no—
583C4×Dic17—22no—
584C4×Dic17C2×D414yes—
585C4×Dic17C2×D414yes—
586C4×Dic17C2×D414yes—
587#34875—171nomaximal, Sylow
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17C2×#4112yes—
601C23×C17C2×#4112yes—
602C23×C17C2511yescharacteristic
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—28no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—44no—
621C22×D17—44no—
622C22×D17—44no—
623C22×D17—44no—
624C22×D17—44no—
625C22×D17—44no—
626C22×D17C22×D412yes—
627C22×D17C2×#4112yes—
628C22×D17C2×#4112yes—
629C22×D17C2×#4112yes—
630C22×D17C2×#4112yes—
631D4×C17—44no—
632C2×C4×C17—28no—
633C2×C4×C17—28no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17C22×D412yes—
669C2×C4×C17C22×D412yes—
670C2×C4×C17C22×D412yes—
671C2×C4×C17C2×#4112yes—
672C2×C4×C17C2×#4112yes—
673C22⋊D17—28no—
674C22⋊D17—28no—
675C22⋊D17—44no—
676C22⋊D17—44no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—28no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—44no—
711C2×Dic17—44no—
712C2×Dic17C22×D412yes—
713C2×Dic17C22×D412yes—
714C2×Dic17C22×D412yes—
715C2×Dic17C2×#4112yes—
716C2×Dic17C2×#4112yes—
717C2×Dic17C2×#4112yes—
718C2×Dic17C2×#4112yes—
719D68—28no—
720D68—44no—
721C4×D17—28no—
722C4×D17—28no—
723C4×D17—28no—
724C4×D17—28no—
725C4×D17—28no—
726C4×D17—28no—
727C4×D17—44no—
728C4×D17—44no—
729C4×D17—44no—
730C4×D17—44no—
731C4×D17—44no—
732Dic34—28no—
733C2×C4×#41—171no—
734C22×#117—171no—
735#2609—171no—
736#2609—171no—
737#2609—171no—
738#2609D1711yescharacteristic, complemented
739#2599—171no—
740#2599—171no—
741#2598—171no—
742#2598—171no—
743#2579—171no—
744#2579—171no—
745#2534—171no—
746#2534—171no—
747#2484—171no—
748#2482—171no—
749#2406—171no—
750#2404—171no—
751#2396—171no—
752#2396—171no—
753#2392—171no—
754#2392—171no—
755C4×#123—171no—
756C4×#123—171no—
757C4×#120—171no—
758C4×#120—171no—
759#2290—171no—
760#2290—171no—
761#2290—171no—
762#2290—171no—
763#2283—171no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17C23×D411yescharacteristic
779C22×C17C22×#4111yescharacteristic
780C22×C17C22×#4111yescharacteristic
781C22×C17C22×#4111yescharacteristic
782C22×C17C22×#4111yescharacteristic
783C22×C17#58511yescharacteristic
784C22×C17#58511yescharacteristic
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—22no—
788C2×D17—22no—
789C2×D17—22no—
790C2×D17—22no—
791C2×D17—22no—
792C2×D17—22no—
793C2×D17—22no—
794C2×D17—22no—
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—416no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17#52514yes—
807C4×C17—22no—
808C4×C17—22no—
809C4×C17—22no—
810C4×C17—22no—
811C4×C17—22no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820Dic17—22no—
821Dic17—22no—
822Dic17—22no—
823Dic17—22no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17#52514yes—
833C22×#41—171no—
834C24×C4—171no—
835C2×#123—171no—
836C2×#123—171no—
837C2×#120—171no—
838C2×#120—171no—
839C4×#41—348no—
840C2×C4×Q8—171no—
841C2×C4×Q8—171no—
842C2×C4×D4—171no—
843C2×C4×D4—171no—
844C2×C4×D4—171no—
845C2×C4×D4—171no—
846C2×C4×D4—171no—
847C2×C4×D4—171no—
848C2×C4×D4—171no—
849C2×C4×D4—171no—
850C2×C4×D4—171no—
851C2×C4×D4—171no—
852C2×#117—171no—
853C2×#117—171no—
854C2×#117—171no—
855C2×#117—171no—
856C2×#117—171no—
857C2×#117—171no—
858C2×#117—171no—
859C2×#117—171no—
860C2×#117—171no—
861C2×#117—348no—
862C2×#117C2×D1711yescharacteristic
863C2×#117C2×D1711yescharacteristic, complemented
864C22×C4⋊C4—171no—
865C22×C4⋊C4—171no—
866C22×C22⋊C4—171no—
867C22×C22⋊C4—171no—
868C22×C42—171no—
869C22×C42—171no—
870C22×C42—171no—
871C22×C42—171no—
872#400—171no—
873#400—171no—
874#399—171no—
875#399—171no—
876#398—171no—
877#398—171no—
878#398—171no—
879#398—171no—
880#398—171no—
881#398C2×D1711yescharacteristic, complemented
882#397—171no—
883#397—171no—
884#396—171no—
885#396—171no—
886#396—171no—
887#396—171no—
888#396—171no—
889#396—171no—
890#396C2×D1711yescharacteristic
891#396C2×D1711yescharacteristic, complemented
892#395—171no—
893#395—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#394C2×D1711yescharacteristic
900#393—171no—
901#393—171no—
902#392—171no—
903#392—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388C2×D1711yescharacteristic
915#388C2×D1711yescharacteristic, complemented
916#387—171no—
917#387—171no—
918#387—171no—
919#387—171no—
920#387—171no—
921#387—171no—
922#387—171no—
923#387—171no—
924#387—171no—
925#387—171no—
926#387C2×D1711yescharacteristic, complemented
927#387C2×D1711yescharacteristic, complemented
928#386—171no—
929#386—171no—
930#386—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386C2×D1711yescharacteristic
943#386C2×D1711yescharacteristic
944#385—171no—
945#385—171no—
946#385—171no—
947#385—171no—
948#385—171no—
949#385—171no—
950#385—171no—
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385C2×D1711yescharacteristic
959#385C2×D1711yescharacteristic, complemented
960#383—171no—
961#383—171no—
962#382—171no—
963#382C2×D1711yescharacteristic, complemented
964#381—171no—
965#381—171no—
966#381—171no—
967#381—171no—
968#380—171no—
969#380—171no—
970#379—171no—
971#379—171no—
972C4×C4⋊C4—171no—
973C4×C4⋊C4—171no—
974C4×C4⋊C4—171no—
975C4×C4⋊C4—171no—
976C4×C4⋊C4—171no—
977C4×C4⋊C4—171no—
978C4×C22⋊C4—171no—
979C4×C22⋊C4—171no—
980C4×C22⋊C4—171no—
981C4×C22⋊C4—171no—
982C4×C22⋊C4—171no—
983C4×C22⋊C4—171no—
984C4×C22⋊C4—171no—
985C4×C22⋊C4—171no—
986C4×C22⋊C4—171no—
987C4×C22⋊C4—171no—
988#376—171no—
989#376—171no—
990C2×C17—42no—
991C2×C17—42no—
992C2×C17C2×#52511yescharacteristic
993C2×C17C2×#52511yescharacteristic
994C2×C17#344911yescharacteristic
995C2×C17#347511yescharacteristic
996C2×C17#347511yescharacteristic
997C2×C17#347511yescharacteristic
998C2×C17#347511yescharacteristic
999D17—24no—
1000D17—42no—
1001D17—42no—
1002C25—171no—
1003C2×#41—344no—
1004C2×#41—344no—
1005C2×#41—344no—
1006C22×Q8—171no—
1007C22×D4—171no—
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4C22×D1711yescharacteristic
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—171no—
1017C23×C4—171no—
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—171no—
1028C23×C4—344no—
1029C23×C4—344no—
1030C23×C4—344no—
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033#123—344no—
1034#123—344no—
1035#120—344no—
1036#120—344no—
1037C4×Q8—344no—
1038C4×Q8—344no—
1039C4×D4—344no—
1040C4×D4—344no—
1041C4×D4—344no—
1042C4×D4—344no—
1043C4×D4—344no—
1044C4×D4—344no—
1045C4×D4—344no—
1046C4×D4—344no—
1047C4×D4—344no—
1048C4×D4—344no—
1049#117—24no—
1050#117—24no—
1051#117—344no—
1052#117—344no—
1053#117—344no—
1054#117—344no—
1055#117—344no—
1056#117—344no—
1057#117—344no—
1058#117—344no—
1059#117—344no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—344no—
1082C2×C4⋊C4—344no—
1083C2×C4⋊C4C22×D1711yescharacteristic
1084C2×C4⋊C4C22×D1711yescharacteristic
1085C2×C4⋊C4C22×D1711yescharacteristic
1086C2×C4⋊C4C22×D1711yescharacteristic
1087C2×C4⋊C4C22×D1711yescharacteristic
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C4⋊C4C22×D1711yescharacteristic
1091C2×C4⋊C4C22×D1711yescharacteristic
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—344no—
1125C2×C22⋊C4—344no—
1126C2×C22⋊C4C22×D1711yescharacteristic
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C22⋊C4C22×D1711yescharacteristic
1135C2×C22⋊C4C22×D1711yescharacteristic
1136C2×C42—171no—
1137C2×C42—171no—
1138C2×C42—171no—
1139C2×C42—178no—
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—171no—
1143C2×C42—171no—
1144C2×C42—171no—
1145C2×C42—171no—
1146C2×C42—171no—
1147C2×C42—171no—
1148C2×C42—171no—
1149C2×C42—171no—
1150C2×C42—171no—
1151C2×C42—171no—
1152C2×C42—344no—
1153C2×C42—344no—
1154C2×C42—344no—
1155C2×C42C22×D1711yescharacteristic
1156C2×C42C22×D1711yescharacteristic
1157C2×C42C22×D1711yescharacteristic
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95C22×D1711yescharacteristic
1189#95C22×D1711yescharacteristic
1190#95C22×D1711yescharacteristic
1191#95C22×D1711yescharacteristic
1192#95C22×D1711yescharacteristic
1193#95C22×D1711yescharacteristic
1194#95C22×D1711yescharacteristic
1195#95C22×D1711yescharacteristic
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198C17#3487511yescharacteristic, complemented, Sylow
1199C24—171no—
1200C24—171no—
1201C24—171no—
1202C24—342no—
1203C24—342no—
1204C24—342no—
1205C24—342no—
1206C24—342no—
1207C24—681no—
1208C24—681no—
1209C24C23×D1711yescharacteristic
1210C24C23×D1711yescharacteristic
1211#41—3432no—
1212C2×Q8—342no—
1213C2×Q8—342no—
1214C2×Q8—342no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—174no—
1219C2×D4—174no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C2×D4—342no—
1223C2×D4—342no—
1224C2×D4—342no—
1225C2×D4—342no—
1226C2×D4—342no—
1227C2×D4—342no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—342no—
1232C2×D4—342no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—171no—
1243C22×C4—174no—
1244C22×C4—171no—
1245C22×C4—171no—
1246C22×C4—171no—
1247C22×C4—171no—
1248C22×C4—174no—
1249C22×C4—174no—
1250C22×C4—174no—
1251C22×C4—174no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—342no—
1273C22×C4—342no—
1274C22×C4—342no—
1275C22×C4—342no—
1276C22×C4—3432no—
1277C22×C4—342no—
1278C22×C4—342no—
1279C22×C4—342no—
1280C22×C4—342no—
1281C22×C4—342no—
1282C22×C4—342no—
1283C22×C4—342no—
1284C22×C4—342no—
1285C22×C4—342no—
1286C22×C4—342no—
1287C22×C4—342no—
1288C22×C4—342no—
1289C22×C4—342no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C22×C4C23×D1711yescharacteristic
1305C22×C4C23×D1711yescharacteristic
1306C22×C4C23×D1711yescharacteristic
1307C22×C4C23×D1711yescharacteristic
1308C22×C4C23×D1711yescharacteristic
1309C22×C4C23×D1711yescharacteristic
1310C22×C4C23×D1711yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—342no—
1321C4⋊C4—342no—
1322C4⋊C4—342no—
1323C4⋊C4—342no—
1324C4⋊C4—342no—
1325C4⋊C4—342no—
1326C4⋊C4—342no—
1327C4⋊C4—342no—
1328C4⋊C4—342no—
1329C4⋊C4—342no—
1330C4⋊C4—342no—
1331C4⋊C4—342no—
1332C4⋊C4—342no—
1333C4⋊C4—342no—
1334C4⋊C4—342no—
1335C4⋊C4—342no—
1336C4⋊C4—681no—
1337C4⋊C4—681no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
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—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—342no—
1365C22⋊C4—342no—
1366C22⋊C4—342no—
1367C22⋊C4—342no—
1368C22⋊C4—342no—
1369C22⋊C4—342no—
1370C22⋊C4—342no—
1371C22⋊C4—342no—
1372C22⋊C4—342no—
1373C22⋊C4—342no—
1374C22⋊C4—342no—
1375C22⋊C4—342no—
1376C22⋊C4—342no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C42—22no—
1384C42—22no—
1385C42—174no—
1386C42—174no—
1387C42—174no—
1388C42—342no—
1389C42—342no—
1390C42—342no—
1391C42—342no—
1392C42—342no—
1393C42—342no—
1394C42—342no—
1395C42—342no—
1396C42—342no—
1397C42—342no—
1398C42—342no—
1399C42—342no—
1400C42D4×D1714yes—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—172no—
1414C23—172no—
1415C23—172no—
1416C23—172no—
1417C23—172no—
1418C23—348no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23—341no—
1432C23—341no—
1433C23—341no—
1434C23—341no—
1435C23—684no—
1436C23—684no—
1437C23—684no—
1438C23—684no—
1439C23—684no—
1440C23—684no—
1441C23#41×D1712yes—
1442C23#41×D1712yes—
1443C23C24×D1711yescharacteristic
1444Q8—348no—
1445D4—44no—
1446D4—348no—
1447D4—348no—
1448D4—348no—
1449D4—684no—
1450D4—684no—
1451D4—684no—
1452C2×C4—28no—
1453C2×C4—28no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—172no—
1489C2×C4—172no—
1490C2×C4—172no—
1491C2×C4—172no—
1492C2×C4—172no—
1493C2×C4—172no—
1494C2×C4—172no—
1495C2×C4—348no—
1496C2×C4—348no—
1497C2×C4—348no—
1498C2×C4—348no—
1499C2×C4—348no—
1500C2×C4—348no—
1501C2×C4—348no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—684no—
1535C2×C4—684no—
1536C2×C4—684no—
1537C2×C4—684no—
1538C2×C4—684no—
1539C2×C4—684no—
1540C2×C4—684no—
1541C2×C4C2×D4×D1712yes—
1542C2×C4C2×D4×D1712yes—
1543C2×C4C2×D4×D1712yes—
1544C2×C4#41×D1712yes—
1545C2×C4#41×D1712yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—174no—
1561C22—342no—
1562C22—342no—
1563C22—342no—
1564C22—342no—
1565C22—342no—
1566C22—342no—
1567C22—342no—
1568C22—342no—
1569C22—342no—
1570C22—342no—
1571C22—342no—
1572C22—342no—
1573C22—6816no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22C22×D4×D1711yescharacteristic
1583C22C2×#41×D1711yescharacteristic
1584C22C2×#41×D1711yescharacteristic
1585C22C2×#41×D1711yescharacteristic
1586C22C2×#41×D1711yescharacteristic
1587C22#1176364411yescharacteristic
1588C22#1176364611yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—174no—
1603C4—342no—
1604C4—342no—
1605C4—342no—
1606C4—342no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C2—42no—
1616C2—42no—
1617C2—344no—
1618C2—682no—
1619C2—682no—
1620C2D17×#52511yescharacteristic
1621C2D17×#52511yescharacteristic
1622C2#1454211211yescharacteristic
1623C2#1454233711yescharacteristic
1624C2#1454233911yescharacteristic
1625C2#1454234111yescharacteristic
1626C2#1454234911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2609C2
prime radical#14532101C2
hypercenter#2609D17
hypocenterC17#34875
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2609

Complements

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

NH ≅ G/Ntype
1. C2×#11763277C2semidirect
2. C2×#117×D17C2semidirect
3. #14534461C2semidirect
4. #14534456C2semidirect
5. #14534456C2semidirect
6. #14534359C2semidirect
7. #14534357C2semidirect
8. #14534348C2semidirect
9. #14534346C2semidirect
10. #14534132C2semidirect
11. #14534126C2semidirect
12. #14533675C2semidirect
13. #14533669C2semidirect
14. #14533069C2semidirect
15. #14533056C2semidirect
16. #14532117C2semidirect
18. #14532061C2semidirect
19. #14532059C2semidirect
20. #14532029C2semidirect
21. #14532027C2semidirect
22. #14531311C2semidirect
23. #14531305C2semidirect
24. #14531289C2semidirect
25. #14531285C2semidirect
26. #14531226C2semidirect
27. #14531224C2semidirect
28. #14531222C2semidirect
29. #14531220C2semidirect
30. #14531177C2semidirect
31. C17×#2609C2semidirect
39. C2×#10587573C22semidirect
40. C2×#10587573C22semidirect
49. C2×#10587567C22semidirect
50. C2×#10587567C22semidirect
57. C2×#10587558C22semidirect
65. C22×C4×Dic17C22semidirect
68. C2×C42×D17C22semidirect
69. #11762751C22semidirect
70. #11762750C22semidirect
73. #11762743C22semidirect
74. #11762742C22semidirect
75. #11762742C22semidirect
76. #11762742C22semidirect
77. #11762739C22semidirect
81. #11762732C22semidirect
84. #11762731C22semidirect
85. #11762731C22semidirect
86. #11762730C22semidirect
87. #11762729C22semidirect
91. #11762725C22semidirect
92. #11762724C22semidirect
100. #11762701C22semidirect
102. #11762700C22semidirect
106. #11762697C22semidirect
107. #11762696C22semidirect
108. #11762695C22semidirect
109. #11762694C22semidirect
110. #11762694C22semidirect
111. #11762693C22semidirect
112. #11762693C22semidirect
113. #11762692C22semidirect
114. #11762691C22semidirect
115. #11762690C22semidirect
116. #11762690C22semidirect
131. #11762684C22semidirect
135. #11762683C22semidirect
136. #11762683C22semidirect
138. #11762682C22semidirect
139. #11762681C22semidirect
143. #11762680C22semidirect
144. #11762680C22semidirect
145. #11762676C22semidirect
146. #11762676C22semidirect
147. #11762675C22semidirect
156. C4⋊C4×Dic17C22semidirect
157. C4⋊C4×Dic17C22semidirect
158. C4⋊C4×Dic17C22semidirect
159. C4⋊C4×Dic17C22semidirect
160. #11762660C22semidirect
161. #11762660C22semidirect
164. C22⋊C4×Dic17C22semidirect
165. C22⋊C4×Dic17C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #11762654C22semidirect
173. #11762654C22semidirect
175. C2×C17×#117C22semidirect
176. C17×#398C22semidirect
178. C17×#396C22semidirect
181. C17×#388C22semidirect
182. C17×#387C22semidirect
183. C17×#387C22semidirect
187. C17×#385C22semidirect
188. C17×#382C22semidirect
344. C42×D17D4semidirect
439. C22×Dic17#41semidirect
493. C2×C4×D17#41semidirect
738. #2609D17semidirect
863. C2×#117C2×D17semidirect
881. #398C2×D17semidirect
891. #396C2×D17semidirect
915. #388C2×D17semidirect
926. #387C2×D17semidirect
927. #387C2×D17semidirect
959. #385C2×D17semidirect
963. #382C2×D17semidirect
1198. C17#34875semidirect

Maximal subgroups

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

subgroupindex
C2×#117632772
C2×#117×D172
#145344612
#145344562
#145343592
#145343572
#145343482
#145343462
#145341322
#145341262
#145336752
#145336692
#145330692
#145330562
#145321172
#145321012
#145320612
#145320592
#145320292
#145320272
#145313112
#145313052
#145312892
#145312852
#145312262
#145312242
#145312222
#145312202
#145311772
C17×#26092
#3487517