Finite Group Databasebeta

← #17194586

Subgroups — #17194586

Order 4352.

3190 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D17C211yesmaximal, characteristic
2C2×#11763281C211yesmaximal, characteristic
3C2×#117×D17C211yesmaximal, characteristic, complemented
4#14531782C211yesmaximal, characteristic, complemented
5#14531780C211yesmaximal, characteristic, complemented
6#14531778C211yesmaximal, characteristic, complemented
7#14531776C211yesmaximal, characteristic, complemented
8#14531774C211yesmaximal, characteristic, complemented
9#14531772C211yesmaximal, characteristic, complemented
10#14531770C211yesmaximal, characteristic, complemented
11#14531652C211yesmaximal, characteristic, complemented
12#14531650C211yesmaximal, characteristic, complemented
13#14531650C211yesmaximal, characteristic, complemented
14#14531649C211yesmaximal, characteristic, complemented
15#14531632C211yesmaximal, characteristic, complemented
16#14531631C211yesmaximal, characteristic, complemented
17#14531628C211yesmaximal, characteristic, complemented
18#14531627C211yesmaximal, characteristic, complemented
19#14531457C211yesmaximal, characteristic, complemented
20#14531454C211yesmaximal, characteristic, complemented
21#14531451C211yesmaximal, characteristic, complemented
22#14531448C211yesmaximal, characteristic, complemented
23#14531395C211yesmaximal, characteristic, complemented
24#14531358C211yesmaximal, characteristic
25#14531311C211yesmaximal, characteristic, complemented
26C4×#10587580C211yesmaximal, characteristic, complemented
27#14531305C211yesmaximal, characteristic, complemented
28C4×#10587569C211yesmaximal, characteristic, complemented
29C2×#11762671C211yesmaximal, characteristic, complemented
30#14531136C211yesmaximal, characteristic, complemented
31C17×#2359C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587580C2211yescharacteristic
35C2×#10587580C2211yescharacteristic
36C2×#10587572C2211yescharacteristic
37C2×#10587615C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587569C2211yescharacteristic
40C2×#10587621C2211yescharacteristic
41#123×D17C4116yescomplemented
42#11763281—28no—
43C2×C4×D68C2211yescharacteristic
44C2×D4×Dic17C2211yescharacteristic
45C2×#10587579C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×#10587567C2211yescharacteristic
49C2×#10587567C2211yescharacteristic
50C2×#10587612C2211yescharacteristic, complemented
51C2×#10587578C2211yescharacteristic
52C2×#10587578C2211yescharacteristic
53C2×#10587578C2211yescharacteristic
54C2×#10587558C2211yescharacteristic
55C2×#10587558C2211yescharacteristic
56C2×#10587558C2211yescharacteristic
57C2×#10587563C2211yescharacteristic, complemented
58C2×#10587563C2211yescharacteristic, complemented
59#117×D17—28no—
60C2×C4⋊C4×D17C2211yescharacteristic
61C2×C4⋊C4×D17C2211yescharacteristic
62C2×C4⋊C4×D17C2211yescharacteristic, complemented
63C2×C4⋊C4×D17C2211yescharacteristic, complemented
64C22×#63227C2211yescharacteristic
65C22×#63227C2211yescharacteristic
66C22×#63227C2211yescharacteristic
67C2×C22⋊C4×D17C2211yescharacteristic
68C2×C22⋊C4×D17C2211yescharacteristic
69C2×C22⋊C4×D17C2211yescharacteristic
70C2×C22⋊C4×D17C2211yescharacteristic
71C2×C22⋊C4×D17C2211yescharacteristic
72C2×C22⋊C4×D17C2211yescharacteristic
73C2×C42×D17C2211yescharacteristic, complemented
74C2×C42×D17C2211yescharacteristic, complemented
75#11762708C2211yescharacteristic, complemented
76#11762707C2211yescharacteristic, complemented
77#11762706C2211yescharacteristic, complemented
78#11762706C2211yescharacteristic, complemented
79#11762705C2211yescharacteristic, complemented
80#11762704C2211yescharacteristic, complemented
81#11762704C2211yescharacteristic, complemented
82#11762703C2211yescharacteristic, complemented
83#11762703C2211yescharacteristic, complemented
84#11762702C2211yescharacteristic, complemented
85#11762702C2211yescharacteristic, complemented
86#11762701C2211yescharacteristic, complemented
87#11762701C2211yescharacteristic, complemented
88#11762700C2211yescharacteristic, complemented
89#11762700C2211yescharacteristic, complemented
90#11762699C2211yescharacteristic, complemented
91#11762699C2211yescharacteristic, complemented
92#11762698C2211yescharacteristic, complemented
93#11762698C2211yescharacteristic, complemented
94#11762697C2211yescharacteristic, complemented
95#11762697C2211yescharacteristic, complemented
96#11762696C2211yescharacteristic, complemented
97#11762696C2211yescharacteristic, complemented
98#11762695C2211yescharacteristic, complemented
99#11762695C2211yescharacteristic, complemented
100#11762694C2211yescharacteristic, complemented
101#11762694C2211yescharacteristic, complemented
102#11762693C2211yescharacteristic, complemented
103#11762693C2211yescharacteristic, complemented
104#11762692C2211yescharacteristic, complemented
105#11762692C2211yescharacteristic, complemented
106#11762691C2211yescharacteristic, complemented
107#11762691C2211yescharacteristic, complemented
108#11762690C2211yescharacteristic, complemented
109#11762690C2211yescharacteristic, complemented
110#11762689C2211yescharacteristic
111#11762688C2211yescharacteristic
112#11762687C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762686C2211yescharacteristic
115#11762685C2211yescharacteristic
116#11762685C2211yescharacteristic
117#11762684C2211yescharacteristic, complemented
118#11762684C2211yescharacteristic, complemented
119#11762683C2211yescharacteristic, complemented
120#11762683C2211yescharacteristic, complemented
121#11762683C2211yescharacteristic, complemented
122#11762683C2211yescharacteristic, complemented
123#11762682C2211yescharacteristic, complemented
124#11762682C2211yescharacteristic, complemented
125#11762681C2211yescharacteristic, complemented
126#11762681C2211yescharacteristic, complemented
127#11762680C2211yescharacteristic, complemented
128#11762680C2211yescharacteristic, complemented
129#11762680C2211yescharacteristic, complemented
130#11762680C2211yescharacteristic, complemented
131#11762671C2211yescharacteristic
132#11762671C2211yescharacteristic
133#11762671C2211yescharacteristic
134#11762671C2211yescharacteristic
135#11762671C2211yescharacteristic
136#11762671C2211yescharacteristic
137#11762671C2211yescharacteristic, complemented
138#11762671C2211yescharacteristic, complemented
139#11762671C2211yescharacteristic, complemented
140#11762671C2211yescharacteristic, complemented
141#11762668C2211yescharacteristic
142#11762668C2211yescharacteristic
143#11762666C2211yescharacteristic
144#11762666C2211yescharacteristic
145#11762664C2211yescharacteristic
146#11762664C2211yescharacteristic
147C4⋊C4×Dic17C2211yescharacteristic, complemented
148C4⋊C4×Dic17C2211yescharacteristic, complemented
149C4×#63225C2211yescharacteristic, complemented
150C4×#63225C2211yescharacteristic, complemented
151C4×C4⋊Dic17C2211yescharacteristic, complemented
152#11762660C2211yescharacteristic, complemented
153#11762660C2211yescharacteristic, complemented
154C22⋊C4×Dic17C2211yescharacteristic, complemented
155C22⋊C4×Dic17C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic, complemented
161C4×#63227C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×C22⋊Dic17C2211yescharacteristic, complemented
165C4×C22⋊Dic17C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C2×#10587502C2211yescharacteristic, complemented
174C2×#10587502C2211yescharacteristic, complemented
175C2×C17×#123C2211yescharacteristic
176C2×C4×D4×C17C2211yescharacteristic
177C2×C17×#117C2211yescharacteristic, complemented
178C17×#389C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic, complemented
181C17×#387C2211yescharacteristic, complemented
182C17×#387C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic
184C17×#385C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C4×C4⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic, complemented
189C2×C17×#95C2211yescharacteristic, complemented
190C24×D17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C23×Dic17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C2×D4×D17—24no—
204C2×D4×D17—24no—
205C2×D4×D17C2×C418yes—
206C22×D68C2311yescharacteristic
207C22×C4×D17—24no—
208C22×C4×D17—24no—
209C22×C4×D17C2×C418yescomplemented
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×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C17×#123C2×C418yescomplemented
224C4×D4×C17—24no—
225C17×#117—24no—
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×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×C42×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254#10587621C2×C418yescomplemented
255D4×Dic17—24no—
256#10587615C2×C418yescomplemented
257C4×C22⋊D17—24no—
258C4×C22⋊D17—24no—
259C2×#63227—24no—
260C2×#63227—24no—
261C2×#63227—24no—
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286#10587612—24no—
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323#10587580C2×C418yescomplemented
324#10587580C2×C418yescomplemented
325#10587579—24no—
326#10587578—24no—
327#10587578—24no—
328#10587578—24no—
329C4⋊C4×D17—24no—
330C4⋊C4×D17—24no—
331C4⋊C4×D17C2×C418yescomplemented
332C4⋊C4×D17C2×C418yescomplemented
333#10587572C2×C418yescomplemented
334#10587569C2×C418yescomplemented
335#10587569C2×C418yescomplemented
336#10587567—24no—
337#10587567—24no—
338C22⋊C4×D17—24no—
339C22⋊C4×D17—24no—
340C22⋊C4×D17C2×C418yescomplemented
341C22⋊C4×D17C2×C418yescomplemented
342C22⋊C4×D17C2×C418yescomplemented
343C22⋊C4×D17D418yes—
344#10587563—24no—
345#10587563—24no—
346C4×D68—24no—
347#10587558—24no—
348#10587558—24no—
349#10587558—24no—
350C42×D17—24no—
351C42×D17—24no—
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
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
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391#10587502C2311yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17—41no—
402C23×D17—41no—
403C23×D17—41no—
404C23×D17C22×C414yes—
405C23×D17C22×C414yes—
406C23×D17C2×D414yes—
407C23×D17#4114yes—
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17C22×C414yes—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17C22×C414yes—
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17C22×C414yes—
444C2×C22⋊D17C22×C414yes—
445C22×Dic17—22no—
446C22×Dic17—22no—
447C22×Dic17—22no—
448C22×Dic17—22no—
449C22×Dic17—22no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17C22×C414yes—
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470D4×D17—232no—
471C2×D68—22no—
472C2×D68—22no—
473C2×D68C22×C414yes—
474C2×C4×D17—232no—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—22no—
481C2×C4×D17—22no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—22no—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×C4×D17—41no—
495C2×C4×D17—41no—
496C2×C4×D17—41no—
497C2×C4×D17—41no—
498C2×C4×D17—41no—
499C2×C4×D17—41no—
500C2×C4×D17—41no—
501C2×C4×D17—41no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C2×C4×D17—41no—
505C2×C4×D17C22×C414yes—
506C2×C4×D17C22×C414yes—
507C2×C4×D17C22×C414yes—
508C2×C4×D17C22×C414yes—
509C2×C4×D17C22×C414yes—
510C2×C4×D17C22×C414yes—
511C2×C4×D17C22×C414yes—
512C2×C4×D17C2×D414yes—
513C2×C4×D17C2×D414yes—
514C4⋊C4×C17—22no—
515C4⋊C4×C17—22no—
516C4⋊C4×C17—22no—
517C4⋊C4×C17—41no—
518C4⋊C4×C17—41no—
519C4⋊C4×C17C22×C414yes—
520C4⋊C4×C17C22×C414yes—
521C22⋊C4×C17—22no—
522C22⋊C4×C17—22no—
523C22⋊C4×C17—41no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17C22×C414yes—
526C22⋊C4×C17C22×C414yes—
527C22⋊C4×C17C22×C414yes—
528C22⋊C4×C17C2×D414yes—
529C42×C17—22no—
530C42×C17—22no—
531C42×C17—22no—
532C42×C17—41no—
533C42×C17—41no—
534C22⋊Dic17—22no—
535C22⋊Dic17—22no—
536C22⋊Dic17—41no—
537C22⋊Dic17—41no—
538C22⋊Dic17C22×C414yes—
539C22⋊Dic17C22×C414yes—
540C22⋊Dic17C22×C414yes—
541C22⋊Dic17C2×D414yes—
542#63227—22no—
543#63227—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227C22×C414yes—
559#63227C22×C414yes—
560#63227C22×C414yes—
561#63227C22×C414yes—
562#63227C22×C414yes—
563#63227C22×C414yes—
564#63227C2×D414yes—
565#63227C2×D414yes—
566C4⋊Dic17—22no—
567C4⋊Dic17—22no—
568C4⋊Dic17—22no—
569C4⋊Dic17—41no—
570C4⋊Dic17—41no—
571C4⋊Dic17C22×C414yes—
572C4⋊Dic17C22×C414yes—
573#63225—22no—
574#63225—22no—
575#63225—22no—
576#63225—22no—
577#63225—22no—
578#63225—22no—
579#63225—41no—
580#63225—41no—
581#63225—41no—
582#63225—41no—
583#63225C22×C414yes—
584#63225C22×C414yes—
585#63225C22×C414yes—
586#63225C22×C414yes—
587C4×Dic17—22no—
588C4×Dic17—22no—
589C4×Dic17—22no—
590C4×Dic17—22no—
591C4×Dic17—22no—
592C4×Dic17—22no—
593C4×Dic17—22no—
594C4×Dic17—22no—
595C4×Dic17—22no—
596C4×Dic17—41no—
597C4×Dic17—41no—
598C4×Dic17—41no—
599C4×Dic17—41no—
600C4×Dic17—41no—
601C4×Dic17—41no—
602#34199—171nomaximal, Sylow
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17C23×C412yes—
614C23×C17C23×C412yes—
615C23×C17C22×D412yes—
616C23×C17C2×#4112yes—
617C23×C17C2511yescharacteristic
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—28no—
633C22×D17—44no—
634C22×D17—44no—
635C22×D17—44no—
636C22×D17—44no—
637C22×D17—44no—
638C22×D17—44no—
639C22×D17—44no—
640C22×D17—44no—
641C22×D17—82no—
642C22×D17—82no—
643C22×D17—82no—
644C22×D17—82no—
645C22×D17C4×D4116yes—
646C22×D17C23×C412yes—
647C22×D17C23×C412yes—
648C22×D17C23×C412yes—
649C22×D17C22×D412yes—
650C22×D17C22×D412yes—
651C22×D17C2×#4112yes—
652C22×D17C2×#4112yes—
653D4×C17—28no—
654C2×C4×C17—28no—
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×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—82no—
688C2×C4×C17—82no—
689C2×C4×C17—82no—
690C2×C4×C17C23×C412yes—
691C2×C4×C17C23×C412yes—
692C2×C4×C17C23×C412yes—
693C2×C4×C17C23×C412yes—
694C2×C4×C17C23×C412yes—
695C2×C4×C17C22×D412yes—
696C2×C4×C17C22×D412yes—
697C22⋊D17—28no—
698C22⋊D17—28no—
699C2×Dic17—28no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—82no—
733C2×Dic17—82no—
734C2×Dic17—82no—
735C2×Dic17C23×C412yes—
736C2×Dic17C23×C412yes—
737C2×Dic17C23×C412yes—
738C2×Dic17C23×C412yes—
739C2×Dic17C23×C412yes—
740C2×Dic17C22×D412yes—
741C2×Dic17C22×D412yes—
742D68—28no—
743C4×D17—28no—
744C4×D17—28no—
745C4×D17—28no—
746C4×D17—28no—
747C4×D17—28no—
748C4×D17—44no—
749C4×D17—44no—
750C4×D17—44no—
751C4×D17—44no—
752C4×D17—44no—
753C4×D17—44no—
754C4×D17—82no—
755C4×D17—82no—
756C22×#123—171no—
757C2×#518—171no—
758C22×#117—171no—
759#2359—171no—
760#2359—171no—
761#2359—171no—
762#2359—171no—
763#2359—171no—
764#2359—171no—
765#2359—171no—
766#2359D1711yescharacteristic, complemented
767#2344—171no—
768#2344—171no—
769#2344—171no—
770#2344—171no—
771#2342—171no—
772#2342—171no—
773#2342—171no—
774#2342—171no—
775#2322—171no—
776#2322—171no—
777#2322—171no—
778#2322—171no—
779#2315—171no—
780#2308—171no—
781C4×#123—171no—
782C4×#123—171no—
783C4×#123—171no—
784C4×#123—171no—
785C2×#381—171no—
786#2273—171no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—22no—
791C22×C17—22no—
792C22×C17—22no—
793C22×C17—22no—
794C22×C17—22no—
795C22×C17—22no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17C2×C4×D414yes—
801C22×C17C24×C411yescharacteristic
802C22×C17C23×D411yescharacteristic
803C22×C17C22×#4111yescharacteristic
804C22×C17#58511yescharacteristic
805C22×C17#58511yescharacteristic
806C22×C17#58511yescharacteristic
807C22×C17#58511yescharacteristic
808C2×D17—22no—
809C2×D17—22no—
810C2×D17—22no—
811C2×D17—22no—
812C2×D17—22no—
813C2×D17—22no—
814C2×D17—22no—
815C2×D17—22no—
816C2×D17—22no—
817C2×D17—22no—
818C2×D17—22no—
819C2×D17—22no—
820C2×D17—22no—
821C2×D17—22no—
822C2×D17—22no—
823C2×D17—416no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—88no—
829C2×D17C2×C4×D414yes—
830C2×D17C2×C4×D414yes—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—22no—
834C4×C17—22no—
835C4×C17—22no—
836C4×C17—22no—
837C4×C17—22no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844Dic17—22no—
845Dic17—22no—
846Dic17—22no—
847Dic17—22no—
848Dic17—22no—
849Dic17—22no—
850Dic17—22no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856Dic17—41no—
857C23×D4—171no—
858C24×C4—171no—
859C2×#123—171no—
860C2×#123—171no—
861C2×#123—1716no—
862C2×#123—171no—
863C2×#123—171no—
864C2×#123—171no—
865C2×#123—171no—
866C2×#123—171no—
867C2×#123C2×D1711yescharacteristic
868#518—348no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4—171no—
873C2×C4×D4—171no—
874C2×C4×D4—171no—
875C2×C4×D4—171no—
876C2×C4×D4C2×D1711yescharacteristic
877C2×#117—171no—
878C2×#117—171no—
879C2×#117—171no—
880C2×#117—171no—
881C2×#117—171no—
882C2×#117—171no—
883C2×#117—171no—
884C2×#117—171no—
885C2×#117—171no—
886C2×#117—348no—
887C2×#117C2×D1711yescharacteristic, complemented
888C22×C4⋊C4—171no—
889C22×C4⋊C4—171no—
890C22×C4⋊C4—171no—
891C22×C4⋊C4—171no—
892C22×C22⋊C4—171no—
893C22×C22⋊C4—171no—
894C22×C22⋊C4—171no—
895C22×C22⋊C4—171no—
896C22×C22⋊C4—171no—
897C22×C22⋊C4—171no—
898C22×C22⋊C4—171no—
899C22×C22⋊C4—171no—
900C22×C22⋊C4—171no—
901C22×C42—171no—
902C22×C42—171no—
903#389—171no—
904#389—171no—
905#389—171no—
906#389—171no—
907#389—171no—
908#389—171no—
909#389—171no—
910#389C2×D1711yescharacteristic, complemented
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
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#388C2×D1711yescharacteristic, complemented
926#388C2×D1711yescharacteristic, complemented
927#387—171no—
928#387—171no—
929#387—171no—
930#387—171no—
931#387—171no—
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387—171no—
937#387—171no—
938#387—171no—
939#387—171no—
940#387—171no—
941#387C2×D1711yescharacteristic, complemented
942#387C2×D1711yescharacteristic, complemented
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386C2×D1711yescharacteristic
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385C2×D1711yescharacteristic, complemented
966#385C2×D1711yescharacteristic, complemented
967#381—171no—
968#381—171no—
969#381—171no—
970#381—171no—
971#381—171no—
972#381—171no—
973#381—171no—
974#381—171no—
975#381—171no—
976#381—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#379—171no—
982#379—171no—
983C4×C4⋊C4—171no—
984C4×C4⋊C4—171no—
985C4×C4⋊C4—171no—
986C4×C4⋊C4—171no—
987C4×C4⋊C4—171no—
988C4×C4⋊C4—171no—
989C4×C4⋊C4—171no—
990C4×C4⋊C4C2×D1711yescharacteristic, complemented
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4—171no—
1000C4×C22⋊C4—171no—
1001C4×C22⋊C4—171no—
1002C4×C22⋊C4—171no—
1003C4×C22⋊C4—171no—
1004C4×C22⋊C4—171no—
1005C4×C22⋊C4—171no—
1006C4×C22⋊C4—171no—
1007C4×C22⋊C4—171no—
1008C4×C22⋊C4—171no—
1009C4×C22⋊C4C2×D1711yescharacteristic, complemented
1010C4×C22⋊C4C2×D1711yescharacteristic, complemented
1011C2×#95—171no—
1012C2×#95—171no—
1013C2×#95—171no—
1014C2×#95C2×D1711yescharacteristic, complemented
1015C2×C17—24no—
1016C2×C17—42no—
1017C2×C17C22×C4×D411yescharacteristic
1018C2×C17#342811yescharacteristic
1019C2×C17#342811yescharacteristic
1020C2×C17#348511yescharacteristic
1021C2×C17#348511yescharacteristic
1022C2×C17#349111yescharacteristic
1023C2×C17#349111yescharacteristic
1024D17—24no—
1025D17—24no—
1026D17—42no—
1027C25—171no—
1028C25—171no—
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4—178no—
1032C22×D4—171no—
1033C22×D4—344no—
1034C22×D4—344no—
1035C22×D4C22×D1711yescharacteristic
1036C23×C4—171no—
1037C23×C4—178no—
1038C23×C4—171no—
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—344no—
1055C23×C4—344no—
1056C23×C4C22×D1711yescharacteristic
1057C23×C4C22×D1711yescharacteristic
1058C23×C4C22×D1711yescharacteristic
1059C23×C4C22×D1711yescharacteristic
1060#123—178no—
1061#123—178no—
1062#123—178no—
1063#123—178no—
1064#123—178no—
1065#123—178no—
1066#123—178no—
1067#123C4×D1718yescomplemented
1068C4×D4—24no—
1069C4×D4—344no—
1070C4×D4—344no—
1071C4×D4—344no—
1072C4×D4—344no—
1073C4×D4—344no—
1074C4×D4—344no—
1075C4×D4—344no—
1076#117—24no—
1077#117—344no—
1078#117—344no—
1079#117—344no—
1080#117—344no—
1081#117—344no—
1082#117—344no—
1083#117—344no—
1084#117—344no—
1085#117—344no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—178no—
1093C2×C4⋊C4—178no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—171no—
1100C2×C4⋊C4—171no—
1101C2×C4⋊C4—171no—
1102C2×C4⋊C4—171no—
1103C2×C4⋊C4—171no—
1104C2×C4⋊C4—171no—
1105C2×C4⋊C4—171no—
1106C2×C4⋊C4—171no—
1107C2×C4⋊C4—171no—
1108C2×C4⋊C4—171no—
1109C2×C4⋊C4—344no—
1110C2×C4⋊C4—344no—
1111C2×C4⋊C4C22×D1711yescharacteristic
1112C2×C4⋊C4C22×D1711yescharacteristic
1113C2×C4⋊C4C22×D1711yescharacteristic
1114C2×C4⋊C4C22×D1711yescharacteristic
1115C2×C4⋊C4C22×D1711yescharacteristic
1116C2×C4⋊C4C22×D1711yescharacteristic
1117C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—178no—
1131C2×C22⋊C4—178no—
1132C2×C22⋊C4—178no—
1133C2×C22⋊C4—178no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—344no—
1155C2×C22⋊C4—344no—
1156C2×C22⋊C4—344no—
1157C2×C22⋊C4—344no—
1158C2×C22⋊C4—344no—
1159C2×C22⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4C22×D1711yescharacteristic
1161C2×C22⋊C4C22×D1711yescharacteristic
1162C2×C22⋊C4C22×D1711yescharacteristic
1163C2×C22⋊C4C22×D1711yescharacteristic
1164C2×C22⋊C4C22×D1711yescharacteristic
1165C2×C22⋊C4C22×D1711yescharacteristic
1166C2×C22⋊C4C22×D1711yescharacteristic
1167C2×C42—171no—
1168C2×C42—171no—
1169C2×C42—171no—
1170C2×C42—171no—
1171C2×C42—171no—
1172C2×C42—171no—
1173C2×C42—171no—
1174C2×C42—171no—
1175C2×C42—171no—
1176C2×C42—171no—
1177C2×C42—171no—
1178C2×C42—171no—
1179C2×C42—171no—
1180C2×C42—171no—
1181C2×C42—171no—
1182C2×C42—344no—
1183C2×C42—344no—
1184C2×C42C22×D1711yescharacteristic
1185C2×C42C22×D1711yescharacteristic
1186C2×C42C22×D1711yescharacteristic
1187C2×C42C22×D1711yescharacteristic
1188C2×C42C22×D1711yescharacteristic
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211#95—171no—
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95C22×D1711yescharacteristic
1220#95C22×D1711yescharacteristic
1221#95C22×D1711yescharacteristic
1222#95C22×D1711yescharacteristic
1223#95C22×D1711yescharacteristic
1224#95C22×D1711yescharacteristic
1225#95C22×D1711yescharacteristic
1226#95C22×D1711yescharacteristic
1227#95C22×D1711yescharacteristic
1228#95C22×D1711yescharacteristic
1229C17#3419911yescharacteristic, complemented, Sylow
1230C24—171no—
1231C24—171no—
1232C24—174no—
1233C24—174no—
1234C24—174no—
1235C24—171no—
1236C24—174no—
1237C24—342no—
1238C24—342no—
1239C24—681no—
1240C24—681no—
1241C24—681no—
1242C24—681no—
1243C24—681no—
1244C24—681no—
1245C24—681no—
1246C24—681no—
1247C24C23×D1711yescharacteristic
1248C24C23×D1711yescharacteristic
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—174no—
1252C2×D4—174no—
1253C2×D4—174no—
1254C2×D4—342no—
1255C2×D4—342no—
1256C2×D4—3432no—
1257C2×D4—342no—
1258C2×D4—342no—
1259C2×D4—342no—
1260C2×D4—342no—
1261C2×D4C2×C4×D1714yes—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—174no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—174no—
1282C22×C4—174no—
1283C22×C4—174no—
1284C22×C4—174no—
1285C22×C4—174no—
1286C22×C4—174no—
1287C22×C4—174no—
1288C22×C4—174no—
1289C22×C4—174no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—342no—
1297C22×C4—342no—
1298C22×C4—342no—
1299C22×C4—342no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—3432no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—342no—
1311C22×C4—342no—
1312C22×C4—342no—
1313C22×C4—342no—
1314C22×C4—342no—
1315C22×C4—342no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4—681no—
1323C22×C4—681no—
1324C22×C4—681no—
1325C22×C4—681no—
1326C22×C4—681no—
1327C22×C4—681no—
1328C22×C4—681no—
1329C22×C4—681no—
1330C22×C4—681no—
1331C22×C4—681no—
1332C22×C4—681no—
1333C22×C4—681no—
1334C22×C4—681no—
1335C22×C4—681no—
1336C22×C4—681no—
1337C22×C4—681no—
1338C22×C4C2×C4×D1714yes—
1339C22×C4C23×D1711yescharacteristic
1340C22×C4C23×D1711yescharacteristic
1341C22×C4C23×D1711yescharacteristic
1342C22×C4C23×D1711yescharacteristic
1343C22×C4C23×D1711yescharacteristic
1344C22×C4C23×D1711yescharacteristic
1345C22×C4C23×D1711yescharacteristic
1346C22×C4C23×D1711yescharacteristic
1347C22×C4C23×D1711yescharacteristic
1348C22×C4C23×D1711yescharacteristic
1349C22×C4C23×D1711yescharacteristic
1350C22×C4C23×D1711yescharacteristic
1351C22×C4C23×D1711yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—174no—
1358C4⋊C4—174no—
1359C4⋊C4—174no—
1360C4⋊C4—174no—
1361C4⋊C4—174no—
1362C4⋊C4—174no—
1363C4⋊C4—342no—
1364C4⋊C4—342no—
1365C4⋊C4—342no—
1366C4⋊C4—342no—
1367C4⋊C4—342no—
1368C4⋊C4—342no—
1369C4⋊C4—342no—
1370C4⋊C4—342no—
1371C4⋊C4—342no—
1372C4⋊C4—681no—
1373C4⋊C4—681no—
1374C4⋊C4—681no—
1375C4⋊C4—681no—
1376C4⋊C4—681no—
1377C4⋊C4—681no—
1378C4⋊C4C2×C4×D1714yes—
1379C4⋊C4C2×C4×D1714yes—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—174no—
1385C22⋊C4—174no—
1386C22⋊C4—174no—
1387C22⋊C4—174no—
1388C22⋊C4—174no—
1389C22⋊C4—174no—
1390C22⋊C4—174no—
1391C22⋊C4—174no—
1392C22⋊C4—174no—
1393C22⋊C4—174no—
1394C22⋊C4—174no—
1395C22⋊C4—174no—
1396C22⋊C4—342no—
1397C22⋊C4—342no—
1398C22⋊C4—342no—
1399C22⋊C4—342no—
1400C22⋊C4—342no—
1401C22⋊C4—342no—
1402C22⋊C4—342no—
1403C22⋊C4—342no—
1404C22⋊C4—342no—
1405C22⋊C4—342no—
1406C22⋊C4—342no—
1407C22⋊C4—342no—
1408C22⋊C4—342no—
1409C22⋊C4—342no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4C2×C4×D1714yes—
1417C22⋊C4C2×C4×D1714yes—
1418C22⋊C4C2×C4×D1714yes—
1419C22⋊C4D4×D1714yes—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—41no—
1424C42—41no—
1425C42—342no—
1426C42—342no—
1427C42—342no—
1428C42—342no—
1429C42—342no—
1430C42—342no—
1431C42—342no—
1432C42—342no—
1433C42—342no—
1434C42—681no—
1435C42—681no—
1436C42—681no—
1437C42—681no—
1438C42—681no—
1439C42—681no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—172no—
1451C23—172no—
1452C23—172no—
1453C23—172no—
1454C23—172no—
1455C23—172no—
1456C23—1716no—
1457C23—172no—
1458C23—348no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—341no—
1469C23—341no—
1470C23—341no—
1471C23—341no—
1472C23—341no—
1473C23—684no—
1474C23—684no—
1475C23—684no—
1476C23—684no—
1477C23—684no—
1478C23—684no—
1479C23—684no—
1480C23—684no—
1481C23—1362no—
1482C23—1362no—
1483C23—1362no—
1484C23—1362no—
1485C23C22×C4×D1712yes—
1486C23C22×C4×D1712yes—
1487C23C2×D4×D1712yes—
1488C23#41×D1712yes—
1489C23C24×D1711yescharacteristic
1490D4—28no—
1491D4—348no—
1492D4—348no—
1493D4—348no—
1494C2×C4—28no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—172no—
1531C2×C4—172no—
1532C2×C4—172no—
1533C2×C4—172no—
1534C2×C4—172no—
1535C2×C4—172no—
1536C2×C4—172no—
1537C2×C4—348no—
1538C2×C4—348no—
1539C2×C4—348no—
1540C2×C4—348no—
1541C2×C4—348no—
1542C2×C4—348no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—684no—
1576C2×C4—684no—
1577C2×C4—684no—
1578C2×C4—684no—
1579C2×C4—684no—
1580C2×C4—684no—
1581C2×C4—1362no—
1582C2×C4—1362no—
1583C2×C4—1362no—
1584C2×C4—1362no—
1585C2×C4—1362no—
1586C2×C4C22×C4×D1712yes—
1587C2×C4C22×C4×D1712yes—
1588C2×C4C22×C4×D1712yes—
1589C2×C4C22×C4×D1712yes—
1590C2×C4C22×C4×D1712yes—
1591C2×C4C2×D4×D1712yes—
1592C2×C4C2×D4×D1712yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—174no—
1607C22—174no—
1608C22—342no—
1609C22—342no—
1610C22—342no—
1611C22—342no—
1612C22—342no—
1613C22—342no—
1614C22—342no—
1615C22—342no—
1616C22—342no—
1617C22—342no—
1618C22—342no—
1619C22—342no—
1620C22—342no—
1621C22—342no—
1622C22—342no—
1623C22—6816no—
1624C22—681no—
1625C22—681no—
1626C22—681no—
1627C22—681no—
1628C22—1368no—
1629C22C4×D4×D1714yes—
1630C22C23×C4×D1711yescharacteristic
1631C22C22×D4×D1711yescharacteristic
1632C22C2×#41×D1711yescharacteristic
1633C22#1176364411yescharacteristic
1634C22#1176364511yescharacteristic
1635C22#1176364511yescharacteristic
1636C22#1176364611yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—342no—
1651C4—342no—
1652C4—342no—
1653C4—342no—
1654C4—342no—
1655C4—342no—
1656C4—342no—
1657C4—681no—
1658C4—681no—
1659C4—681no—
1660C4—681no—
1661C4—681no—
1662C4—681no—
1663C2—24no—
1664C2—42no—
1665C2—344no—
1666C2—344no—
1667C2—682no—
1668C2C2×C4×D4×D1711yescharacteristic
1669C2#1454198311yescharacteristic
1670C2#1454198411yescharacteristic
1671C2#1454242111yescharacteristic
1672C2#1454242311yescharacteristic
1673C2#1454247511yescharacteristic
1674C2#1454247911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2359C2
socle, cosocleC23×C17C25
prime radicalC22×D4×D17C22
hypercenter#2359D17
hypocenterC17#34199
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
3. C2×#117×D17C2semidirect
4. #14531782C2semidirect
5. #14531780C2semidirect
6. #14531778C2semidirect
7. #14531776C2semidirect
8. #14531774C2semidirect
9. #14531772C2semidirect
10. #14531770C2semidirect
11. #14531652C2semidirect
12. #14531650C2semidirect
13. #14531650C2semidirect
14. #14531649C2semidirect
15. #14531632C2semidirect
16. #14531631C2semidirect
17. #14531628C2semidirect
18. #14531627C2semidirect
19. #14531457C2semidirect
20. #14531454C2semidirect
21. #14531451C2semidirect
22. #14531448C2semidirect
23. #14531395C2semidirect
25. #14531311C2semidirect
26. C4×#10587580C2semidirect
27. #14531305C2semidirect
28. C4×#10587569C2semidirect
29. C2×#11762671C2semidirect
30. #14531136C2semidirect
31. C17×#2359C2semidirect
41. #123×D17C4semidirect
50. C2×#10587612C22semidirect
57. C2×#10587563C22semidirect
58. C2×#10587563C22semidirect
62. C2×C4⋊C4×D17C22semidirect
63. C2×C4⋊C4×D17C22semidirect
73. C2×C42×D17C22semidirect
74. C2×C42×D17C22semidirect
75. #11762708C22semidirect
76. #11762707C22semidirect
77. #11762706C22semidirect
78. #11762706C22semidirect
79. #11762705C22semidirect
80. #11762704C22semidirect
81. #11762704C22semidirect
82. #11762703C22semidirect
83. #11762703C22semidirect
84. #11762702C22semidirect
85. #11762702C22semidirect
86. #11762701C22semidirect
87. #11762701C22semidirect
88. #11762700C22semidirect
89. #11762700C22semidirect
90. #11762699C22semidirect
91. #11762699C22semidirect
92. #11762698C22semidirect
93. #11762698C22semidirect
94. #11762697C22semidirect
95. #11762697C22semidirect
96. #11762696C22semidirect
97. #11762696C22semidirect
98. #11762695C22semidirect
99. #11762695C22semidirect
100. #11762694C22semidirect
101. #11762694C22semidirect
102. #11762693C22semidirect
103. #11762693C22semidirect
104. #11762692C22semidirect
105. #11762692C22semidirect
106. #11762691C22semidirect
107. #11762691C22semidirect
108. #11762690C22semidirect
109. #11762690C22semidirect
117. #11762684C22semidirect
118. #11762684C22semidirect
119. #11762683C22semidirect
120. #11762683C22semidirect
121. #11762683C22semidirect
122. #11762683C22semidirect
123. #11762682C22semidirect
124. #11762682C22semidirect
125. #11762681C22semidirect
126. #11762681C22semidirect
127. #11762680C22semidirect
128. #11762680C22semidirect
129. #11762680C22semidirect
130. #11762680C22semidirect
137. #11762671C22semidirect
138. #11762671C22semidirect
139. #11762671C22semidirect
140. #11762671C22semidirect
147. C4⋊C4×Dic17C22semidirect
148. C4⋊C4×Dic17C22semidirect
149. C4×#63225C22semidirect
150. C4×#63225C22semidirect
151. C4×C4⋊Dic17C22semidirect
152. #11762660C22semidirect
153. #11762660C22semidirect
154. C22⋊C4×Dic17C22semidirect
155. C22⋊C4×Dic17C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
160. C4×#63227C22semidirect
161. C4×#63227C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
164. C4×C22⋊Dic17C22semidirect
165. C4×C22⋊Dic17C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. C2×#10587502C22semidirect
173. C2×#10587502C22semidirect
174. C2×#10587502C22semidirect
177. C2×C17×#117C22semidirect
178. C17×#389C22semidirect
179. C17×#388C22semidirect
180. C17×#388C22semidirect
181. C17×#387C22semidirect
182. C17×#387C22semidirect
184. C17×#385C22semidirect
185. C17×#385C22semidirect
186. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
188. C4×C22⋊C4×C17C22semidirect
189. C2×C17×#95C22semidirect
209. C22×C4×D17C2×C4semidirect
223. C17×#123C2×C4semidirect
254. #10587621C2×C4semidirect
256. #10587615C2×C4semidirect
323. #10587580C2×C4semidirect
324. #10587580C2×C4semidirect
331. C4⋊C4×D17C2×C4semidirect
332. C4⋊C4×D17C2×C4semidirect
333. #10587572C2×C4semidirect
334. #10587569C2×C4semidirect
335. #10587569C2×C4semidirect
340. C22⋊C4×D17C2×C4semidirect
341. C22⋊C4×D17C2×C4semidirect
342. C22⋊C4×D17C2×C4semidirect
766. #2359D17semidirect
887. C2×#117C2×D17semidirect
910. #389C2×D17semidirect
925. #388C2×D17semidirect
926. #388C2×D17semidirect
941. #387C2×D17semidirect
942. #387C2×D17semidirect
965. #385C2×D17semidirect
966. #385C2×D17semidirect
990. C4×C4⋊C4C2×D17semidirect
1009. C4×C22⋊C4C2×D17semidirect
1010. C4×C22⋊C4C2×D17semidirect
1014. C2×#95C2×D17semidirect
1067. #123C4×D17semidirect
1229. C17#34199semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D172
C2×#117632812
C2×#117×D172
#145317822
#145317802
#145317782
#145317762
#145317742
#145317722
#145317702
#145316522
#145316502
#145316492
#145316322
#145316312
#145316282
#145316272
#145314572
#145314542
#145314512
#145314482
#145313952
#145313582
#145313112
C4×#105875802
#145313052
C4×#105875692
C2×#117626712
#145311362
C17×#23592
#3419917