Finite Group Databasebeta

← #17205305

Subgroups — #17205305

Order 4352.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763342C211yesmaximal, characteristic, complemented
2C2×#117×D17C211yesmaximal, characteristic, complemented
3#14534480C211yesmaximal, characteristic, complemented
4#14534478C211yesmaximal, characteristic, complemented
5#14534469C211yesmaximal, characteristic, complemented
6#14534467C211yesmaximal, characteristic, complemented
7#14534383C211yesmaximal, characteristic, complemented
8#14534381C211yesmaximal, characteristic, complemented
9#14534375C211yesmaximal, characteristic, complemented
10#14534262C211yesmaximal, characteristic, complemented
11#14534162C211yesmaximal, characteristic, complemented
12#14533940C211yesmaximal, characteristic, complemented
13#14533713C211yesmaximal, characteristic
14#14532186C211yesmaximal, characteristic, complemented
15#14532184C211yesmaximal, characteristic, complemented
16#14532164C211yesmaximal, characteristic, complemented
17#14532162C211yesmaximal, characteristic, complemented
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#14531246C211yesmaximal, characteristic, complemented
27#14531244C211yesmaximal, characteristic, complemented
28#14531244C211yesmaximal, characteristic, complemented
29#14531242C211yesmaximal, characteristic, complemented
30C4×#10587578C211yesmaximal, characteristic, complemented
31C17×#2601C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33#11763342—28no—
34C2×#10587562C2211yescharacteristic, complemented
35C2×#10587575C2211yescharacteristic, complemented
36C2×#10587571C2211yescharacteristic, complemented
37C2×#10587580C2211yescharacteristic
38C2×#10587580C2211yescharacteristic
39C2×#10587569C2211yescharacteristic
40C2×#10587569C2211yescharacteristic
41C2×#10587582C2211yescharacteristic
42C2×#10587570C2211yescharacteristic
43C2×#10587568C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45C2×#10587573C2211yescharacteristic, complemented
46C2×D4×Dic17C2211yescharacteristic
47C2×#10587579C2211yescharacteristic
48C2×#10587579C2211yescharacteristic
49C2×#10587567C2211yescharacteristic
50C2×#10587567C2211yescharacteristic
51C2×#10587567C2211yescharacteristic
52C2×#10587567C2211yescharacteristic, complemented
53C2×#10587612C2211yescharacteristic
54C2×#10587578C2211yescharacteristic
55C2×#10587578C2211yescharacteristic
56C2×#10587578C2211yescharacteristic
57C2×#10587578C2211yescharacteristic
58C2×#10587578C2211yescharacteristic, complemented
59C2×#10587558C2211yescharacteristic
60C2×#10587558C2211yescharacteristic
61C2×#10587563C2211yescharacteristic
62C2×#10587563C2211yescharacteristic
63C2×#10587563C2211yescharacteristic, complemented
64#117×D17—28no—
65C2×C4⋊C4×D17C2211yescharacteristic
66C2×C4⋊C4×D17C2211yescharacteristic
67C2×C22⋊C4×D17C2211yescharacteristic
68C2×C22⋊C4×D17C2211yescharacteristic
69C2×C42×D17C2211yescharacteristic
70C2×C42×D17C2211yescharacteristic
71#11762751C2211yescharacteristic, complemented
72#11762750C2211yescharacteristic, complemented
73#11762745C2211yescharacteristic
74#11762744C2211yescharacteristic
75#11762743C2211yescharacteristic, complemented
76#11762742C2211yescharacteristic, complemented
77#11762742C2211yescharacteristic, complemented
78#11762742C2211yescharacteristic, complemented
79#11762739C2211yescharacteristic, complemented
80#11762738C2211yescharacteristic
81#11762737C2211yescharacteristic
82#11762732C2211yescharacteristic
83#11762732C2211yescharacteristic, complemented
84#11762731C2211yescharacteristic
85#11762731C2211yescharacteristic
86#11762731C2211yescharacteristic, complemented
87#11762731C2211yescharacteristic, complemented
88#11762730C2211yescharacteristic, complemented
89#11762729C2211yescharacteristic, complemented
90#11762726C2211yescharacteristic
91#11762725C2211yescharacteristic
92#11762725C2211yescharacteristic
93#11762725C2211yescharacteristic, complemented
94#11762724C2211yescharacteristic, complemented
95#11762722C2211yescharacteristic
96#11762721C2211yescharacteristic
97#11762718C2211yescharacteristic
98#11762717C2211yescharacteristic
99#11762712C2211yescharacteristic
100#11762711C2211yescharacteristic
101#11762710C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762709C2211yescharacteristic
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic
106#11762708C2211yescharacteristic, complemented
107#11762707C2211yescharacteristic, complemented
108#11762706C2211yescharacteristic, complemented
109#11762706C2211yescharacteristic, complemented
110#11762705C2211yescharacteristic, complemented
111#11762704C2211yescharacteristic, complemented
112#11762704C2211yescharacteristic, complemented
113#11762703C2211yescharacteristic
114#11762703C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic
116#11762702C2211yescharacteristic, complemented
117#11762701C2211yescharacteristic
118#11762701C2211yescharacteristic, complemented
119#11762701C2211yescharacteristic, complemented
120#11762700C2211yescharacteristic
121#11762700C2211yescharacteristic, complemented
122#11762700C2211yescharacteristic, complemented
123#11762699C2211yescharacteristic
124#11762699C2211yescharacteristic, complemented
125#11762698C2211yescharacteristic
126#11762698C2211yescharacteristic, complemented
127#11762697C2211yescharacteristic
128#11762697C2211yescharacteristic, complemented
129#11762697C2211yescharacteristic, complemented
130#11762694C2211yescharacteristic, complemented
131#11762693C2211yescharacteristic, complemented
132#11762690C2211yescharacteristic, complemented
133#11762688C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762683C2211yescharacteristic
141#11762683C2211yescharacteristic
142#11762683C2211yescharacteristic
143#11762682C2211yescharacteristic
144#11762680C2211yescharacteristic
145#11762680C2211yescharacteristic
146#11762680C2211yescharacteristic
147#11762671C2211yescharacteristic
148#11762671C2211yescharacteristic
149#11762664C2211yescharacteristic
150#11762664C2211yescharacteristic
151C4⋊C4×Dic17C2211yescharacteristic, complemented
152C4⋊C4×Dic17C2211yescharacteristic, complemented
153C4⋊C4×Dic17C2211yescharacteristic, complemented
154C4⋊C4×Dic17C2211yescharacteristic, complemented
155C4×C4⋊Dic17C2211yescharacteristic, complemented
156#11762660C2211yescharacteristic, complemented
157#11762660C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic
159C22⋊C4×Dic17C2211yescharacteristic
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164#11762656C2211yescharacteristic
165#11762656C2211yescharacteristic
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762654C2211yescharacteristic, complemented
171#11762654C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C42×Dic17C2211yescharacteristic, complemented
174C2×C17×#126C2211yescharacteristic, complemented
175C2×C17×#117C2211yescharacteristic
176C17×#398C2211yescharacteristic, complemented
177C17×#396C2211yescharacteristic
178C17×#396C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic
180C17×#390C2211yescharacteristic
181C17×#389C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic
183C17×#388C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#387C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic
187C17×#385C2211yescharacteristic
188C4×C4⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C23×Dic17C2311yescharacteristic
198C22×D68C2311yescharacteristic
199C22×D68C2311yescharacteristic
200C22×C4×D17—24no—
201C22×C4×D17—24no—
202C22×C4×D17—24no—
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C17×#126—24no—
214C17×#117—24no—
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249#10587623—24no—
250D4×Dic17—24no—
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
253C2×#63227C2311yescharacteristic
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
277#10587612—24no—
278C2×C4⋊Dic17C2311yescharacteristic
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×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
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
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320#10587582—24no—
321#10587580—24no—
322#10587580—24no—
323#10587579—24no—
324#10587579—24no—
325#10587578—24no—
326#10587578—24no—
327#10587578—24no—
328#10587578—24no—
329#10587578—24no—
330C4⋊C4×D17—24no—
331C4⋊C4×D17—24no—
332#10587575—24no—
333#10587573—24no—
334#10587571—24no—
335#10587570—24no—
336#10587569—24no—
337#10587569—24no—
338#10587568—24no—
339#10587567—24no—
340#10587567—24no—
341#10587567—24no—
342#10587567—24no—
343C22⋊C4×D17—24no—
344C22⋊C4×D17—24no—
345#10587563—24no—
346#10587563—24no—
347#10587563—24no—
348#10587562—24no—
349#10587558—24no—
350#10587558—24no—
351C42×D17—24no—
352C42×D17D418yescomplemented
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
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
416C2×C22⋊D17—22no—
417C2×C22⋊D17—22no—
418C2×C22⋊D17—22no—
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—41no—
425C2×C22⋊D17—41no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C22×Dic17—22no—
429C22×Dic17—22no—
430C22×Dic17—22no—
431C22×Dic17—22no—
432C22×Dic17—22no—
433C22×Dic17#4114yes—
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C2×D68—22no—
448C2×D68—22no—
449C2×D68—22no—
450C2×D68—22no—
451C2×D68—22no—
452C2×D68—41no—
453C2×C4×D17—232no—
454C2×C4×D17—22no—
455C2×C4×D17—22no—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
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—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17C2×D414yes—
478C2×C4×D17C2×D414yes—
479C2×C4×D17C2×D414yes—
480C2×C4×D17#4114yes—
481C2×Dic34—22no—
482C2×Dic34—41no—
483C2×Dic34—41no—
484C4⋊C4×C17—22no—
485C4⋊C4×C17—22no—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—22no—
490C4⋊C4×C17—22no—
491C4⋊C4×C17—22no—
492C4⋊C4×C17—22no—
493C4⋊C4×C17—41no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—22no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C42×C17—22no—
506C42×C17—41no—
507C42×C17—41no—
508C42×C17C2×D414yes—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—22no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518#63227—22no—
519#63227—22no—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
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—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227#4114yes—
543#63227#4114yes—
544C4⋊Dic17—22no—
545C4⋊Dic17—22no—
546C4⋊Dic17—22no—
547C4⋊Dic17—22no—
548C4⋊Dic17—22no—
549C4⋊Dic17—22no—
550C4⋊Dic17—22no—
551C4⋊Dic17—41no—
552#63225—22no—
553#63225—22no—
554#63225—22no—
555#63225—22no—
556#63225—22no—
557#63225—22no—
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—41no—
567#63225—41no—
568C4×Dic17—22no—
569C4×Dic17—22no—
570C4×Dic17—22no—
571C4×Dic17—22no—
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—41no—
582C4×Dic17—41no—
583C4×Dic17C2×D414yes—
584C4×Dic17C2×D414yes—
585C4×Dic17C2×D414yes—
586#34877—171nomaximal, Sylow
587C23×C17—21no—
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×C17C2511yescharacteristic
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—28no—
607C22×D17—21no—
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—
630D4×C17—44no—
631C2×C4×C17—28no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
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×C17C22×D412yes—
666C2×C4×C17C22×D412yes—
667C2×C4×C17C22×D412yes—
668C2×C4×C17C2×#4112yes—
669C2×C4×C17C2×#4112yes—
670C2×C4×C17C2×#4112yes—
671C22⋊D17—44no—
672C22⋊D17—44no—
673C22⋊D17—44no—
674C22⋊D17—44no—
675C2×Dic17—21no—
676C2×Dic17—21no—
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—44no—
708C2×Dic17C22×D412yes—
709C2×Dic17C22×D412yes—
710C2×Dic17C22×D412yes—
711C2×Dic17C2×#4112yes—
712C2×Dic17C2×#4112yes—
713C2×Dic17C2×#4112yes—
714C2×Dic17C2×#4112yes—
715C2×Dic17C2×#4112yes—
716D68—44no—
717D68—44no—
718C4×D17—28no—
719C4×D17—28no—
720C4×D17—28no—
721C4×D17—28no—
722C4×D17—28no—
723C4×D17—44no—
724C4×D17—44no—
725C4×D17—44no—
726C4×D17—44no—
727Dic34—44no—
728C2×#529—171no—
729C22×#117—171no—
730#2611—171no—
731#2611—171no—
732#2610—171no—
733#2610—171no—
734#2601—171no—
735#2601—171no—
736#2601—171no—
737#2601D1711yescharacteristic, complemented
738#2591—171no—
739#2583—171no—
740#2561—171no—
741#2539—171no—
742#2413—171no—
743#2413—171no—
744#2411—171no—
745#2411—171no—
746#2396—171no—
747#2396—171no—
748#2392—171no—
749#2392—171no—
750C4×#123—171no—
751C4×#123—171no—
752C4×#120—171no—
753C4×#120—171no—
754#2293—171no—
755#2293—171no—
756#2293—171no—
757#2293—171no—
758C4×#117—171no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17C23×D411yescharacteristic
774C22×C17C22×#4111yescharacteristic
775C22×C17C22×#4111yescharacteristic
776C22×C17C22×#4111yescharacteristic
777C22×C17C22×#4111yescharacteristic
778C22×C17#58511yescharacteristic
779C22×C17#58511yescharacteristic
780C2×D17—22no—
781C2×D17—22no—
782C2×D17—22no—
783C2×D17—22no—
784C2×D17—22no—
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—22no—
788C2×D17—22no—
789C2×D17—416no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17#53214yes—
802C4×C17—22no—
803C4×C17—22no—
804C4×C17—22no—
805C4×C17—22no—
806C4×C17—22no—
807C4×C17—22no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815Dic17—22no—
816Dic17—22no—
817Dic17—22no—
818Dic17—22no—
819Dic17—22no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17#52514yes—
828C24×C4—171no—
829#529—348no—
830C2×#126—171no—
831C2×#126C2×D1711yescharacteristic, complemented
832C2×#125—171no—
833C2×#124—171no—
834C2×#123—171no—
835C2×#123—171no—
836C2×#123—171no—
837C2×#123—171no—
838C2×C22⋊Q8—171no—
839C2×#121—171no—
840C2×#120—171no—
841C2×#120—171no—
842C2×C4×Q8—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×#117—171no—
851C2×#117—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
863C22×C4⋊C4—171no—
864C22×C4⋊C4—171no—
865C22×C22⋊C4—171no—
866C22×C22⋊C4—171no—
867C22×C42—171no—
868C22×C42—171no—
869#400—171no—
870#400—171no—
871#399—171no—
872#399—171no—
873#398—171no—
874#398—171no—
875#398—171no—
876#398—171no—
877#398—171no—
878#398C2×D1711yescharacteristic, complemented
879#397—171no—
880#397—171no—
881#396—171no—
882#396—171no—
883#396—171no—
884#396—171no—
885#396—171no—
886#396—171no—
887#396C2×D1711yescharacteristic
888#396C2×D1711yescharacteristic, complemented
889#395—171no—
890#395—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394C2×D1711yescharacteristic
897#393—171no—
898#393—171no—
899#392—171no—
900#392—171no—
901#390—171no—
902#390—171no—
903#390—171no—
904#390—171no—
905#390—171no—
906#390—171no—
907#390—171no—
908#390C2×D1711yescharacteristic
909#389—171no—
910#389—171no—
911#389—171no—
912#389—171no—
913#389—171no—
914#389—171no—
915#389—171no—
916#389C2×D1711yescharacteristic, complemented
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#388—171no—
931#388—171no—
932#388—171no—
933#388—171no—
934#388C2×D1711yescharacteristic
935#388C2×D1711yescharacteristic, complemented
936#388C2×D1711yescharacteristic, complemented
937#387—171no—
938#387—171no—
939#387—171no—
940#387C2×D1711yescharacteristic, complemented
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386C2×D1711yescharacteristic
949#385—171no—
950#385—171no—
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385C2×D1711yescharacteristic
957#381—171no—
958#381—171no—
959#379—171no—
960#379—171no—
961C4×C4⋊C4—171no—
962C4×C4⋊C4—171no—
963C4×C4⋊C4—171no—
964C4×C4⋊C4—171no—
965C4×C4⋊C4—171no—
966C4×C4⋊C4—171no—
967C4×C4⋊C4—171no—
968C4×C4⋊C4C2×D1711yescharacteristic, complemented
969C4×C22⋊C4—171no—
970C4×C22⋊C4—171no—
971C4×C22⋊C4—171no—
972C4×C22⋊C4—171no—
973C4×C22⋊C4—171no—
974C4×C22⋊C4—171no—
975C4×C22⋊C4—171no—
976C4×C22⋊C4—171no—
977C4×C22⋊C4—171no—
978C4×C22⋊C4—171no—
979C4×C22⋊C4—171no—
980C4×C22⋊C4—171no—
981#376—171no—
982#376—171no—
983C43—171no—
984C43—171no—
985C2×C17—42no—
986C2×C17—81no—
987C2×C17C2×#52511yescharacteristic
988C2×C17C2×#53211yescharacteristic
989C2×C17#344911yescharacteristic
990C2×C17#347511yescharacteristic
991C2×C17#347511yescharacteristic
992C2×C17#347511yescharacteristic
993C2×C17#347511yescharacteristic
994D17—24no—
995D17—42no—
996D17—81no—
997C25—171no—
998C22×Q8—171no—
999C22×D4—171no—
1000C22×D4—171no—
1001C22×D4—171no—
1002C22×D4—171no—
1003C22×D4—171no—
1004C22×D4—171no—
1005C22×D4C22×D1711yescharacteristic
1006C23×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—171no—
1017C23×C4—344no—
1018C23×C4—344no—
1019C23×C4—344no—
1020C23×C4C22×D1711yescharacteristic
1021#126—24no—
1022#126—344no—
1023#125—344no—
1024#124—344no—
1025#123—344no—
1026#123—344no—
1027#123—344no—
1028#123—344no—
1029C22⋊Q8—344no—
1030#121—344no—
1031#120—344no—
1032#120—344no—
1033C4×Q8—344no—
1034C4×D4—344no—
1035C4×D4—344no—
1036C4×D4—344no—
1037C4×D4—344no—
1038C4×D4—344no—
1039C4×D4—344no—
1040C4×D4—344no—
1041#117—24no—
1042#117—344no—
1043#117—344no—
1044#117—344no—
1045#117—344no—
1046#117—344no—
1047#117—344no—
1048#117—344no—
1049#117—344no—
1050#117—344no—
1051#117—344no—
1052#117—344no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
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—344no—
1078C2×C4⋊C4—344no—
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C4⋊C4C22×D1711yescharacteristic
1082C2×C4⋊C4C22×D1711yescharacteristic
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×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
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×C22⋊C4C22×D1711yescharacteristic
1137C2×C42—171no—
1138C2×C42—171no—
1139C2×C42—171no—
1140C2×C42—178no—
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—171no—
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42—344no—
1157C2×C42C22×D1711yescharacteristic
1158C2×C42C22×D1711yescharacteristic
1159C2×C42C22×D1711yescharacteristic
1160C2×C42C22×D1711yescharacteristic
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#95C22×D1711yescharacteristic
1186#95C22×D1711yescharacteristic
1187#95C22×D1711yescharacteristic
1188#95C22×D1711yescharacteristic
1189#95C22×D1711yescharacteristic
1190#95C22×D1711yescharacteristic
1191#95C22×D1711yescharacteristic
1192#95C22×D1711yescharacteristic
1193C17#3487711yescharacteristic, complemented, Sylow
1194C24—171no—
1195C24—171no—
1196C24—171no—
1197C24—342no—
1198C24—342no—
1199C24—342no—
1200C24—342no—
1201C24—342no—
1202C24—681no—
1203C24—681no—
1204C24C23×D1711yescharacteristic
1205C24C23×D1711yescharacteristic
1206C2×Q8—342no—
1207C2×Q8—681no—
1208C2×Q8—681no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—342no—
1213C2×D4—342no—
1214C2×D4—342no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—342no—
1218C2×D4—342no—
1219C2×D4—342no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C2×D4—342no—
1223C2×D4—342no—
1224C2×D4—342no—
1225C2×D4—681no—
1226C2×D4—681no—
1227C2×D4—681no—
1228C2×D4—681no—
1229C2×D4—681no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—171no—
1234C22×C4—174no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—171no—
1238C22×C4—171no—
1239C22×C4—171no—
1240C22×C4—174no—
1241C22×C4—174no—
1242C22×C4—174no—
1243C22×C4—174no—
1244C22×C4—171no—
1245C22×C4—171no—
1246C22×C4—171no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—342no—
1252C22×C4—342no—
1253C22×C4—342no—
1254C22×C4—342no—
1255C22×C4—342no—
1256C22×C4—342no—
1257C22×C4—342no—
1258C22×C4—342no—
1259C22×C4—342no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—342no—
1264C22×C4—3432no—
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—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4C23×D1711yescharacteristic
1281C22×C4C23×D1711yescharacteristic
1282C22×C4C23×D1711yescharacteristic
1283C22×C4C23×D1711yescharacteristic
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—41no—
1303C4⋊C4—342no—
1304C4⋊C4—342no—
1305C4⋊C4—342no—
1306C4⋊C4—342no—
1307C4⋊C4—342no—
1308C4⋊C4—342no—
1309C4⋊C4—342no—
1310C4⋊C4—342no—
1311C4⋊C4—342no—
1312C4⋊C4—342no—
1313C4⋊C4—342no—
1314C4⋊C4—342no—
1315C4⋊C4—342no—
1316C4⋊C4—342no—
1317C4⋊C4—342no—
1318C4⋊C4—342no—
1319C4⋊C4—342no—
1320C4⋊C4—342no—
1321C4⋊C4—342no—
1322C4⋊C4—342no—
1323C4⋊C4—342no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—174no—
1339C22⋊C4—174no—
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—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—342no—
1365C22⋊C4—342no—
1366C22⋊C4—342no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—174no—
1377C42—174no—
1378C42—174no—
1379C42—342no—
1380C42—342no—
1381C42—342no—
1382C42—342no—
1383C42—342no—
1384C42—342no—
1385C42—342no—
1386C42—342no—
1387C42—342no—
1388C42—342no—
1389C42—342no—
1390C42—342no—
1391C42—342no—
1392C42—681no—
1393C42—681no—
1394C42D4×D1714yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—172no—
1409C23—172no—
1410C23—172no—
1411C23—172no—
1412C23—348no—
1413C23—341no—
1414C23—341no—
1415C23—341no—
1416C23—341no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—684no—
1431C23—684no—
1432C23—684no—
1433C23—684no—
1434C23—684no—
1435C23—684no—
1436C23#41×D1712yes—
1437C23C24×D1711yescharacteristic
1438Q8—684no—
1439D4—44no—
1440D4—684no—
1441D4—684no—
1442D4—684no—
1443D4—684no—
1444D4—684no—
1445D4—684no—
1446C2×C4—28no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
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—172no—
1481C2×C4—172no—
1482C2×C4—172no—
1483C2×C4—172no—
1484C2×C4—172no—
1485C2×C4—172no—
1486C2×C4—172no—
1487C2×C4—172no—
1488C2×C4—348no—
1489C2×C4—348no—
1490C2×C4—348no—
1491C2×C4—348no—
1492C2×C4—348no—
1493C2×C4—348no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
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—684no—
1526C2×C4—684no—
1527C2×C4—684no—
1528C2×C4—684no—
1529C2×C4—684no—
1530C2×C4C2×D4×D1712yes—
1531C2×C4C2×D4×D1712yes—
1532C2×C4C2×D4×D1712yes—
1533C2×C4#41×D1712yes—
1534C2×C4#41×D1712yes—
1535C2×C4#41×D1712yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—174no—
1551C22—342no—
1552C22—342no—
1553C22—342no—
1554C22—342no—
1555C22—342no—
1556C22—342no—
1557C22—342no—
1558C22—342no—
1559C22—342no—
1560C22—6816no—
1561C22—681no—
1562C22—681no—
1563C22—681no—
1564C22—681no—
1565C22—681no—
1566C22—681no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22C22×D4×D1711yescharacteristic
1573C22C2×#41×D1711yescharacteristic
1574C22C2×#41×D1711yescharacteristic
1575C22C2×#41×D1711yescharacteristic
1576C22C2×#41×D1711yescharacteristic
1577C22#1176364411yescharacteristic
1578C22#1176364611yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—174no—
1593C4—342no—
1594C4—342no—
1595C4—342no—
1596C4—342no—
1597C4—342no—
1598C4—681no—
1599C4—681no—
1600C4—681no—
1601C4—681no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C2—42no—
1606C2—81no—
1607C2—344no—
1608C2—682no—
1609C2—1361no—
1610C2D17×#52511yescharacteristic
1611C2D17×#53211yescharacteristic
1612C2#1454211211yescharacteristic
1613C2#1454233911yescharacteristic
1614C2#1454234311yescharacteristic
1615C2#1454234511yescharacteristic
1616C2#1454234911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2601C2
prime radical#14533713C2
hypercenter#2601D17
hypocenterC17#34877
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#11763342C2semidirect
2. C2×#117×D17C2semidirect
3. #14534480C2semidirect
4. #14534478C2semidirect
5. #14534469C2semidirect
6. #14534467C2semidirect
7. #14534383C2semidirect
8. #14534381C2semidirect
9. #14534375C2semidirect
10. #14534262C2semidirect
11. #14534162C2semidirect
12. #14533940C2semidirect
14. #14532186C2semidirect
15. #14532184C2semidirect
16. #14532164C2semidirect
17. #14532162C2semidirect
18. #14532061C2semidirect
19. #14532059C2semidirect
20. #14532029C2semidirect
21. #14532027C2semidirect
22. #14531311C2semidirect
23. #14531305C2semidirect
24. #14531289C2semidirect
25. #14531285C2semidirect
26. #14531246C2semidirect
27. #14531244C2semidirect
28. #14531244C2semidirect
29. #14531242C2semidirect
30. C4×#10587578C2semidirect
31. C17×#2601C2semidirect
34. C2×#10587562C22semidirect
35. C2×#10587575C22semidirect
36. C2×#10587571C22semidirect
45. C2×#10587573C22semidirect
52. C2×#10587567C22semidirect
58. C2×#10587578C22semidirect
63. C2×#10587563C22semidirect
71. #11762751C22semidirect
72. #11762750C22semidirect
75. #11762743C22semidirect
76. #11762742C22semidirect
77. #11762742C22semidirect
78. #11762742C22semidirect
79. #11762739C22semidirect
83. #11762732C22semidirect
86. #11762731C22semidirect
87. #11762731C22semidirect
88. #11762730C22semidirect
89. #11762729C22semidirect
93. #11762725C22semidirect
94. #11762724C22semidirect
106. #11762708C22semidirect
107. #11762707C22semidirect
108. #11762706C22semidirect
109. #11762706C22semidirect
110. #11762705C22semidirect
111. #11762704C22semidirect
112. #11762704C22semidirect
114. #11762703C22semidirect
116. #11762702C22semidirect
118. #11762701C22semidirect
119. #11762701C22semidirect
121. #11762700C22semidirect
122. #11762700C22semidirect
124. #11762699C22semidirect
126. #11762698C22semidirect
128. #11762697C22semidirect
129. #11762697C22semidirect
130. #11762694C22semidirect
131. #11762693C22semidirect
132. #11762690C22semidirect
151. C4⋊C4×Dic17C22semidirect
152. C4⋊C4×Dic17C22semidirect
153. C4⋊C4×Dic17C22semidirect
154. C4⋊C4×Dic17C22semidirect
155. C4×C4⋊Dic17C22semidirect
156. #11762660C22semidirect
157. #11762660C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C22⋊C4×Dic17C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762654C22semidirect
171. #11762654C22semidirect
172. C42×Dic17C22semidirect
173. C42×Dic17C22semidirect
174. C2×C17×#126C22semidirect
176. C17×#398C22semidirect
178. C17×#396C22semidirect
181. C17×#389C22semidirect
183. C17×#388C22semidirect
184. C17×#388C22semidirect
185. C17×#387C22semidirect
188. C4×C4⋊C4×C17C22semidirect
352. C42×D17D4semidirect
737. #2601D17semidirect
831. C2×#126C2×D17semidirect
878. #398C2×D17semidirect
888. #396C2×D17semidirect
916. #389C2×D17semidirect
935. #388C2×D17semidirect
936. #388C2×D17semidirect
940. #387C2×D17semidirect
968. C4×C4⋊C4C2×D17semidirect
1193. C17#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#117633422
C2×#117×D172
#145344802
#145344782
#145344692
#145344672
#145343832
#145343812
#145343752
#145342622
#145341622
#145339402
#145337132
#145321862
#145321842
#145321642
#145321622
#145320612
#145320592
#145320292
#145320272
#145313112
#145313052
#145312892
#145312852
#145312462
#145312442
#145312422
C4×#105875782
C17×#26012
#3487717