Finite Group Databasebeta

← D17×#2456 #17201828

Subgroups — D17×#2456 #17201828

Order 4352.

4282 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D17C211yesmaximal, characteristic, complemented
2C2×#121×D17C211yesmaximal, characteristic, complemented
3C2×C4×D4×D17C211yesmaximal, characteristic, complemented
4C2×C4×D4×D17C211yesmaximal, characteristic, complemented
5#14532683C211yesmaximal, characteristic, complemented
6#14532682C211yesmaximal, characteristic, complemented
7#14532681C211yesmaximal, characteristic, complemented
8#14532680C211yesmaximal, characteristic, complemented
9#14532679C211yesmaximal, characteristic, complemented
10#14532678C211yesmaximal, characteristic, complemented
11#14532677C211yesmaximal, characteristic, complemented
12#14532676C211yesmaximal, characteristic, complemented
13#14532675C211yesmaximal, characteristic, complemented
14#14532674C211yesmaximal, characteristic, complemented
15#14532673C211yesmaximal, characteristic, complemented
16#14532672C211yesmaximal, characteristic, complemented
17#14532671C211yesmaximal, characteristic, complemented
18#14532670C211yesmaximal, characteristic, complemented
19#14532669C211yesmaximal, characteristic, complemented
20D17×#396C211yesmaximal, characteristic, complemented
21D17×#392C211yesmaximal, characteristic, complemented
22D17×#392C211yesmaximal, characteristic, complemented
23D17×#392C211yesmaximal, characteristic, complemented
24D17×#390C211yesmaximal, characteristic, complemented
25D17×#388C211yesmaximal, characteristic, complemented
26D17×#388C211yesmaximal, characteristic, complemented
27D17×#387C211yesmaximal, characteristic, complemented
28D17×#386C211yesmaximal, characteristic, complemented
29D17×#386C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2456C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C22×D4×D17C2211yescharacteristic
36C22×D4×D17C2211yescharacteristic
37C22×D4×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic
39C23×C4×D17C2211yescharacteristic
40C23×C4×D17C2211yescharacteristic
41C2×#10587580C2211yescharacteristic, complemented
42C2×#10587580C2211yescharacteristic, complemented
43C2×#10587572C2211yescharacteristic, complemented
44C2×#10587615C2211yescharacteristic, complemented
45C2×#10587569C2211yescharacteristic, complemented
46C2×#10587569C2211yescharacteristic, complemented
47C2×#10587621C2211yescharacteristic, complemented
48#123×D17—28no—
49C2×#10587581C2211yescharacteristic, complemented
50C2×#10587616C2211yescharacteristic, complemented
51C2×#10587570C2211yescharacteristic, complemented
52C2×#10587570C2211yescharacteristic, complemented
53C2×#10587625C2211yescharacteristic, complemented
54C2×#10587625C2211yescharacteristic, complemented
55C2×#10587624C2211yescharacteristic, complemented
56#121×D17—28no—
57C2×C4×D68C2211yescharacteristic, complemented
58C2×C4×D68C2211yescharacteristic, complemented
59C2×D4×Dic17C2211yescharacteristic, complemented
60C2×D4×Dic17C2211yescharacteristic, complemented
61C2×#10587579C2211yescharacteristic, complemented
62C2×#10587579C2211yescharacteristic, complemented
63C2×C4×C22⋊D17C2211yescharacteristic, complemented
64C2×C4×C22⋊D17C2211yescharacteristic, complemented
65C2×C4×C22⋊D17C2211yescharacteristic, complemented
66C2×C4×C22⋊D17C2211yescharacteristic, complemented
67C2×#10587567C2211yescharacteristic, complemented
68C2×#10587567C2211yescharacteristic, complemented
69C2×#10587567C2211yescharacteristic, complemented
70C2×#10587567C2211yescharacteristic, complemented
71C4×D4×D17—28no—
72C4×D4×D17—28no—
73C2×C4⋊C4×D17C2211yescharacteristic
74C2×C4⋊C4×D17C2211yescharacteristic
75C2×C4⋊C4×D17C2211yescharacteristic
76C2×C4⋊C4×D17C2211yescharacteristic
77C2×C4⋊C4×D17C2211yescharacteristic
78C2×C22⋊C4×D17C2211yescharacteristic
79C2×C22⋊C4×D17C2211yescharacteristic
80C2×C22⋊C4×D17C2211yescharacteristic
81C2×C22⋊C4×D17C2211yescharacteristic
82C2×C22⋊C4×D17C2211yescharacteristic
83C2×C22⋊C4×D17C2211yescharacteristic
84C2×C22⋊C4×D17C2211yescharacteristic
85C2×C22⋊C4×D17C2211yescharacteristic
86C2×C22⋊C4×D17C2211yescharacteristic
87C2×C22⋊C4×D17C2211yescharacteristic
88C2×C22⋊C4×D17C2211yescharacteristic
89C2×C22⋊C4×D17C2211yescharacteristic
90C2×C22⋊C4×D17C2211yescharacteristic
91C2×C42×D17C2211yescharacteristic
92C2×C42×D17C2211yescharacteristic
93#11762733C2211yescharacteristic, complemented
94#11762732C2211yescharacteristic, complemented
95#11762732C2211yescharacteristic, complemented
96#11762732C2211yescharacteristic, complemented
97#11762731C2211yescharacteristic, complemented
98#11762731C2211yescharacteristic, complemented
99#11762731C2211yescharacteristic, complemented
100#11762719C2211yescharacteristic, complemented
101#11762719C2211yescharacteristic, complemented
102#11762719C2211yescharacteristic, complemented
103#11762718C2211yescharacteristic, complemented
104#11762718C2211yescharacteristic, complemented
105#11762718C2211yescharacteristic, complemented
106#11762718C2211yescharacteristic, complemented
107#11762718C2211yescharacteristic, complemented
108#11762718C2211yescharacteristic, complemented
109#11762718C2211yescharacteristic, complemented
110#11762718C2211yescharacteristic, complemented
111#11762718C2211yescharacteristic, complemented
112#11762717C2211yescharacteristic, complemented
113#11762717C2211yescharacteristic, complemented
114#11762717C2211yescharacteristic, complemented
115#11762717C2211yescharacteristic, complemented
116#11762717C2211yescharacteristic, complemented
117#11762717C2211yescharacteristic, complemented
118#11762717C2211yescharacteristic, complemented
119#11762717C2211yescharacteristic, complemented
120#11762717C2211yescharacteristic, complemented
121#11762712C2211yescharacteristic, complemented
122#11762711C2211yescharacteristic, complemented
123#11762710C2211yescharacteristic, complemented
124#11762709C2211yescharacteristic, complemented
125#11762709C2211yescharacteristic, complemented
126#11762709C2211yescharacteristic, complemented
127#11762709C2211yescharacteristic, complemented
128#11762703C2211yescharacteristic, complemented
129#11762703C2211yescharacteristic, complemented
130#11762702C2211yescharacteristic, complemented
131#11762702C2211yescharacteristic, complemented
132#11762701C2211yescharacteristic, complemented
133#11762701C2211yescharacteristic, complemented
134#11762700C2211yescharacteristic, complemented
135#11762700C2211yescharacteristic, complemented
136#11762699C2211yescharacteristic, complemented
137#11762699C2211yescharacteristic, complemented
138#11762698C2211yescharacteristic, complemented
139#11762698C2211yescharacteristic, complemented
140#11762697C2211yescharacteristic, complemented
141#11762697C2211yescharacteristic, complemented
142#11762696C2211yescharacteristic, complemented
143#11762695C2211yescharacteristic, complemented
144#11762694C2211yescharacteristic, complemented
145#11762693C2211yescharacteristic, complemented
146#11762692C2211yescharacteristic, complemented
147#11762691C2211yescharacteristic, complemented
148#11762690C2211yescharacteristic, complemented
149#11762689C2211yescharacteristic, complemented
150#11762689C2211yescharacteristic, complemented
151#11762688C2211yescharacteristic, complemented
152#11762688C2211yescharacteristic, complemented
153#11762687C2211yescharacteristic, complemented
154#11762687C2211yescharacteristic, complemented
155#11762687C2211yescharacteristic, complemented
156#11762687C2211yescharacteristic, complemented
157#11762686C2211yescharacteristic, complemented
158#11762686C2211yescharacteristic, complemented
159#11762685C2211yescharacteristic, complemented
160#11762685C2211yescharacteristic, complemented
161#11762685C2211yescharacteristic, complemented
162#11762685C2211yescharacteristic, complemented
163#11762684C2211yescharacteristic, complemented
164#11762683C2211yescharacteristic, complemented
165#11762683C2211yescharacteristic, complemented
166#11762682C2211yescharacteristic, complemented
167#11762681C2211yescharacteristic, complemented
168#11762680C2211yescharacteristic, complemented
169#11762680C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic
173#95×D17C2211yescharacteristic
174#95×D17C2211yescharacteristic
175#95×D17C2211yescharacteristic
176C2×C17×#123C2211yescharacteristic, complemented
177C2×C17×#121C2211yescharacteristic, complemented
178C2×C4×D4×C17C2211yescharacteristic, complemented
179C2×C4×D4×C17C2211yescharacteristic, complemented
180C17×#396C2211yescharacteristic, complemented
181C17×#392C2211yescharacteristic, complemented
182C17×#392C2211yescharacteristic, complemented
183C17×#392C2211yescharacteristic, complemented
184C17×#390C2211yescharacteristic, complemented
185C17×#388C2211yescharacteristic, complemented
186C17×#388C2211yescharacteristic, complemented
187C17×#387C2211yescharacteristic, complemented
188C17×#386C2211yescharacteristic, complemented
189C17×#386C2211yescharacteristic, complemented
190C17×#385C2211yescharacteristic, complemented
191C24×D17C2311yescharacteristic
192C24×D17C2311yescharacteristic
193C24×D17C2311yescharacteristic
194C24×D17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C2×D4×D17—24no—
220C2×D4×D17—24no—
221C2×D4×D17—24no—
222C2×D4×D17—24no—
223C2×D4×D17—24no—
224C2×D4×D17—24no—
225C2×D4×D17—24no—
226C2×D4×D17—24no—
227C2×D4×D17—24no—
228C2×D4×D17—24no—
229C2×D4×D17—24no—
230C2×D4×D17—24no—
231C2×D4×D17—24no—
232C2×D4×D17—42no—
233C2×D4×D17—42no—
234C2×D4×D17—42no—
235C2×D4×D17—42no—
236C2×D4×D17—42no—
237C22×D68C2311yescharacteristic
238C22×D68C2311yescharacteristic
239C22×D68C2311yescharacteristic
240C22×D68C2311yescharacteristic
241C22×D68C2311yescharacteristic
242C22×D68C2311yescharacteristic
243C22×C4×D17—24no—
244C22×C4×D17—24no—
245C22×C4×D17—24no—
246C22×C4×D17—24no—
247C22×C4×D17—24no—
248C22×C4×D17—24no—
249C22×C4×D17—42no—
250C22×C4×D17—42no—
251C22×C4×D17—42no—
252C22×C4×D17C2311yescharacteristic
253C22×C4×D17C2311yescharacteristic
254C22×C4×D17C2311yescharacteristic
255C22×C4×D17C2311yescharacteristic
256C22×C4×D17C2311yescharacteristic
257C22×C4×D17C2311yescharacteristic
258C22×C4×D17C2311yescharacteristic
259C22×C4×D17C2311yescharacteristic
260C22×C4×D17C2311yescharacteristic
261C22×C4×D17C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C17×#123—24no—
270C17×#121—24no—
271C4×D4×C17—24no—
272C4×D4×C17—24no—
273C2×C4⋊C4×C17C2311yescharacteristic
274C2×C4⋊C4×C17C2311yescharacteristic
275C2×C4⋊C4×C17C2311yescharacteristic
276C2×C4⋊C4×C17C2311yescharacteristic
277C2×C4⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C42×C17C2311yescharacteristic
292C2×C42×C17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic
295C2×C22⋊Dic17C2311yescharacteristic
296C2×C22⋊Dic17C2311yescharacteristic
297C2×C22⋊Dic17C2311yescharacteristic
298C2×C22⋊Dic17C2311yescharacteristic
299C2×C22⋊Dic17C2311yescharacteristic
300C2×C22⋊Dic17C2311yescharacteristic
301C2×C22⋊Dic17C2311yescharacteristic
302C2×C22⋊Dic17C2311yescharacteristic
303C2×C22⋊Dic17C2311yescharacteristic
304C2×C22⋊Dic17C2311yescharacteristic
305C2×C22⋊Dic17C2311yescharacteristic
306#10587625—24no—
307#10587625—24no—
308#10587624—24no—
309#10587621—24no—
310D4×Dic17—24no—
311D4×Dic17—24no—
312#10587616—24no—
313#10587615—24no—
314C4×C22⋊D17—24no—
315C4×C22⋊D17—24no—
316C4×C22⋊D17—24no—
317C4×C22⋊D17—24no—
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×#63227C2311yescharacteristic
333C2×#63227C2311yescharacteristic
334C2×#63227C2311yescharacteristic
335C2×#63227C2311yescharacteristic
336C2×#63227C2311yescharacteristic
337C2×#63227C2311yescharacteristic
338C2×#63227C2311yescharacteristic
339C2×#63227C2311yescharacteristic
340C2×#63227C2311yescharacteristic
341C2×#63227C2311yescharacteristic
342C2×#63227C2311yescharacteristic
343C2×#63227C2311yescharacteristic
344C2×C4⋊Dic17C2311yescharacteristic
345C2×C4⋊Dic17C2311yescharacteristic
346C2×C4⋊Dic17C2311yescharacteristic
347C2×C4⋊Dic17C2311yescharacteristic
348C2×C4⋊Dic17C2311yescharacteristic
349C2×#63225C2311yescharacteristic
350C2×#63225C2311yescharacteristic
351C2×#63225C2311yescharacteristic
352C2×#63225C2311yescharacteristic
353C2×#63225C2311yescharacteristic
354C2×#63225C2311yescharacteristic
355C2×#63225C2311yescharacteristic
356C2×#63225C2311yescharacteristic
357C2×#63225C2311yescharacteristic
358C2×#63225C2311yescharacteristic
359C2×C4×Dic17C2311yescharacteristic
360C2×C4×Dic17C2311yescharacteristic
361C2×C4×Dic17C2311yescharacteristic
362C2×C4×Dic17C2311yescharacteristic
363C2×C4×Dic17C2311yescharacteristic
364C2×C4×Dic17C2311yescharacteristic
365#10587581—24no—
366#10587580—24no—
367#10587580—24no—
368#10587579—24no—
369#10587579—24no—
370C4⋊C4×D17—24no—
371C4⋊C4×D17—24no—
372C4⋊C4×D17—24no—
373C4⋊C4×D17—42no—
374C4⋊C4×D17D418yescomplemented
375#10587572—24no—
376#10587570—24no—
377#10587570—24no—
378#10587569—24no—
379#10587569—24no—
380#10587567—24no—
381#10587567—24no—
382#10587567—24no—
383#10587567—24no—
384C22⋊C4×D17—24no—
385C22⋊C4×D17—24no—
386C22⋊C4×D17—24no—
387C22⋊C4×D17—24no—
388C22⋊C4×D17—24no—
389C22⋊C4×D17—24no—
390C22⋊C4×D17—24no—
391C22⋊C4×D17—24no—
392C22⋊C4×D17—24no—
393C22⋊C4×D17—42no—
394C22⋊C4×D17—42no—
395C22⋊C4×D17—42no—
396C22⋊C4×D17D418yescomplemented
397C4×D68—24no—
398C4×D68—24no—
399C42×D17—24no—
400C42×D17—24no—
401C17×#95C2311yescharacteristic
402C17×#95C2311yescharacteristic
403C17×#95C2311yescharacteristic
404C17×#95C2311yescharacteristic
405C17×#95C2311yescharacteristic
406C17×#95C2311yescharacteristic
407#10587502C2311yescharacteristic
408#10587502C2311yescharacteristic
409#10587502C2311yescharacteristic
410#10587502C2311yescharacteristic
411#10587502C2311yescharacteristic
412#10587502C2311yescharacteristic
413#10587502C2311yescharacteristic
414#10587502C2311yescharacteristic
415#10587502C2311yescharacteristic
416#10587502C2311yescharacteristic
417#10587502C2311yescharacteristic
418#10587502C2311yescharacteristic
419#10587502C2311yescharacteristic
420#10587502C2311yescharacteristic
421#10587502C2311yescharacteristic
422#10587502C2311yescharacteristic
423#10587502C2311yescharacteristic
424#10587502C2311yescharacteristic
425C24×C17C2411yescharacteristic
426C24×C17C2411yescharacteristic
427C24×C17C2411yescharacteristic
428C24×C17C2411yescharacteristic
429C23×D17—22no—
430C23×D17—22no—
431C23×D17—22no—
432C23×D17—22no—
433C23×D17—22no—
434C23×D17—22no—
435C23×D17—22no—
436C23×D17—22no—
437C23×D17—22no—
438C23×D17—22no—
439C23×D17—22no—
440C23×D17—22no—
441C23×D17—22no—
442C23×D17—22no—
443C23×D17—22no—
444C23×D17—22no—
445C23×D17—22no—
446C23×D17—22no—
447C23×D17—22no—
448C23×D17—22no—
449C23×D17—22no—
450C23×D17—22no—
451C23×D17—22no—
452C23×D17—22no—
453C23×D17—22no—
454C23×D17C2×D414yes—
455C23×D17#4114yes—
456C23×D17#4114yes—
457C23×D17C2411yescharacteristic
458C23×D17C2411yescharacteristic
459C23×D17C2411yescharacteristic
460C23×D17C2411yescharacteristic
461C23×D17C2411yescharacteristic
462C2×D4×C17—22no—
463C2×D4×C17—22no—
464C2×D4×C17—22no—
465C2×D4×C17—22no—
466C2×D4×C17—22no—
467C2×D4×C17—22no—
468C2×D4×C17—22no—
469C2×D4×C17—22no—
470C2×D4×C17—22no—
471C2×D4×C17—22no—
472C2×D4×C17—22no—
473C2×D4×C17—22no—
474C2×D4×C17—22no—
475C2×D4×C17—41no—
476C2×D4×C17—41no—
477C2×D4×C17—41no—
478C2×D4×C17—41no—
479C2×D4×C17—41no—
480C22×C4×C17—22no—
481C22×C4×C17—22no—
482C22×C4×C17—22no—
483C22×C4×C17—22no—
484C22×C4×C17—22no—
485C22×C4×C17—22no—
486C22×C4×C17—41no—
487C22×C4×C17—41no—
488C22×C4×C17—41no—
489C22×C4×C17C2411yescharacteristic
490C22×C4×C17C2411yescharacteristic
491C22×C4×C17C2411yescharacteristic
492C22×C4×C17C2411yescharacteristic
493C22×C4×C17C2411yescharacteristic
494C22×C4×C17C2411yescharacteristic
495C22×C4×C17C2411yescharacteristic
496C22×C4×C17C2411yescharacteristic
497C22×C4×C17C2411yescharacteristic
498C22×C4×C17C2411yescharacteristic
499C22×C4×C17C2411yescharacteristic
500C2×C22⋊D17—22no—
501C2×C22⋊D17—22no—
502C2×C22⋊D17—22no—
503C2×C22⋊D17—22no—
504C2×C22⋊D17—22no—
505C2×C22⋊D17—22no—
506C2×C22⋊D17—22no—
507C2×C22⋊D17—22no—
508C2×C22⋊D17—22no—
509C2×C22⋊D17—22no—
510C2×C22⋊D17—22no—
511C2×C22⋊D17—22no—
512C2×C22⋊D17—22no—
513C2×C22⋊D17—22no—
514C2×C22⋊D17—22no—
515C2×C22⋊D17—22no—
516C2×C22⋊D17—22no—
517C2×C22⋊D17—22no—
518C2×C22⋊D17—22no—
519C2×C22⋊D17—22no—
520C2×C22⋊D17—22no—
521C2×C22⋊D17—22no—
522C2×C22⋊D17—22no—
523C2×C22⋊D17—22no—
524C2×C22⋊D17—22no—
525C2×C22⋊D17—22no—
526C2×C22⋊D17—41no—
527C2×C22⋊D17—41no—
528C2×C22⋊D17—41no—
529C2×C22⋊D17—41no—
530C2×C22⋊D17—41no—
531C2×C22⋊D17—41no—
532C2×C22⋊D17—41no—
533C2×C22⋊D17—41no—
534C2×C22⋊D17—41no—
535C2×C22⋊D17—41no—
536C22×Dic17—22no—
537C22×Dic17—22no—
538C22×Dic17—22no—
539C22×Dic17—22no—
540C22×Dic17—22no—
541C22×Dic17—22no—
542C22×Dic17—41no—
543C22×Dic17—41no—
544C22×Dic17—41no—
545C22×Dic17C2411yescharacteristic
546C22×Dic17C2411yescharacteristic
547C22×Dic17C2411yescharacteristic
548C22×Dic17C2411yescharacteristic
549C22×Dic17C2411yescharacteristic
550C22×Dic17C2411yescharacteristic
551C22×Dic17C2411yescharacteristic
552C22×Dic17C2411yescharacteristic
553C22×Dic17C2411yescharacteristic
554C22×Dic17C2411yescharacteristic
555C22×Dic17C2411yescharacteristic
556D4×D17—232no—
557D4×D17—232no—
558D4×D17—416no—
559D4×D17—416no—
560D4×D17—416no—
561D4×D17—416no—
562C2×D68—22no—
563C2×D68—22no—
564C2×D68—22no—
565C2×D68—22no—
566C2×D68—22no—
567C2×D68—22no—
568C2×D68—22no—
569C2×D68—22no—
570C2×D68—22no—
571C2×D68—22no—
572C2×D68—22no—
573C2×D68—22no—
574C2×D68—22no—
575C2×D68—41no—
576C2×D68—41no—
577C2×D68—41no—
578C2×D68—41no—
579C2×D68—41no—
580C2×C4×D17—22no—
581C2×C4×D17—22no—
582C2×C4×D17—22no—
583C2×C4×D17—22no—
584C2×C4×D17—22no—
585C2×C4×D17—22no—
586C2×C4×D17—22no—
587C2×C4×D17—22no—
588C2×C4×D17—22no—
589C2×C4×D17—22no—
590C2×C4×D17—22no—
591C2×C4×D17—22no—
592C2×C4×D17—22no—
593C2×C4×D17—22no—
594C2×C4×D17—22no—
595C2×C4×D17—22no—
596C2×C4×D17—22no—
597C2×C4×D17—22no—
598C2×C4×D17—22no—
599C2×C4×D17—22no—
600C2×C4×D17—22no—
601C2×C4×D17—22no—
602C2×C4×D17—22no—
603C2×C4×D17—22no—
604C2×C4×D17—22no—
605C2×C4×D17—22no—
606C2×C4×D17—22no—
607C2×C4×D17—22no—
608C2×C4×D17—22no—
609C2×C4×D17—22no—
610C2×C4×D17—22no—
611C2×C4×D17—22no—
612C2×C4×D17—22no—
613C2×C4×D17—22no—
614C2×C4×D17—22no—
615C2×C4×D17—22no—
616C2×C4×D17—22no—
617C2×C4×D17—22no—
618C2×C4×D17—22no—
619C2×C4×D17—416no—
620C2×C4×D17—416no—
621C2×C4×D17—416no—
622C2×C4×D17—41no—
623C2×C4×D17—41no—
624C2×C4×D17—41no—
625C2×C4×D17—41no—
626C2×C4×D17—41no—
627C2×C4×D17—41no—
628C2×C4×D17C2×D414yes—
629C2×C4×D17C2×D414yes—
630C2×C4×D17C2×D414yes—
631C2×C4×D17C2×D414yes—
632C2×C4×D17C2×D414yes—
633C2×C4×D17#4114yes—
634C4⋊C4×C17—22no—
635C4⋊C4×C17—22no—
636C4⋊C4×C17—22no—
637C4⋊C4×C17—41no—
638C4⋊C4×C17C2×D414yescomplemented
639C22⋊C4×C17—22no—
640C22⋊C4×C17—22no—
641C22⋊C4×C17—22no—
642C22⋊C4×C17—22no—
643C22⋊C4×C17—22no—
644C22⋊C4×C17—22no—
645C22⋊C4×C17—22no—
646C22⋊C4×C17—22no—
647C22⋊C4×C17—22no—
648C22⋊C4×C17—41no—
649C22⋊C4×C17—41no—
650C22⋊C4×C17—41no—
651C22⋊C4×C17C2×D414yescomplemented
652C42×C17—22no—
653C42×C17—22no—
654C22⋊Dic17—22no—
655C22⋊Dic17—22no—
656C22⋊Dic17—22no—
657C22⋊Dic17—22no—
658C22⋊Dic17—22no—
659C22⋊Dic17—22no—
660C22⋊Dic17—22no—
661C22⋊Dic17—22no—
662C22⋊Dic17—22no—
663C22⋊Dic17—41no—
664C22⋊Dic17—41no—
665C22⋊Dic17—41no—
666C22⋊Dic17C2×D414yescomplemented
667#63227—22no—
668#63227—22no—
669#63227—22no—
670#63227—22no—
671#63227—22no—
672#63227—22no—
673#63227—22no—
674#63227—22no—
675#63227—22no—
676#63227—22no—
677#63227—22no—
678#63227—22no—
679#63227—22no—
680#63227—22no—
681#63227—22no—
682#63227—22no—
683#63227—22no—
684#63227—22no—
685#63227—41no—
686#63227—41no—
687#63227—41no—
688#63227—41no—
689#63227—41no—
690#63227—41no—
691#63227C2×D414yescomplemented
692#63227C2×D414yescomplemented
693C4⋊Dic17—22no—
694C4⋊Dic17—22no—
695C4⋊Dic17—22no—
696C4⋊Dic17—41no—
697C4⋊Dic17C2×D414yescomplemented
698#63225—22no—
699#63225—22no—
700#63225—22no—
701#63225—22no—
702#63225—22no—
703#63225—22no—
704#63225—41no—
705#63225—41no—
706#63225C2×D414yescomplemented
707#63225C2×D414yescomplemented
708C4×Dic17—22no—
709C4×Dic17—22no—
710C4×Dic17—22no—
711C4×Dic17—22no—
712C4×Dic17—22no—
713C4×Dic17—22no—
714C2×#2456—171nomaximal, Sylow
715C23×C17—21no—
716C23×C17—21no—
717C23×C17—21no—
718C23×C17—21no—
719C23×C17—21no—
720C23×C17—21no—
721C23×C17—21no—
722C23×C17—21no—
723C23×C17—21no—
724C23×C17—21no—
725C23×C17—21no—
726C23×C17—21no—
727C23×C17—21no—
728C23×C17—21no—
729C23×C17—21no—
730C23×C17—21no—
731C23×C17—21no—
732C23×C17—21no—
733C23×C17—21no—
734C23×C17—21no—
735C23×C17—21no—
736C23×C17—21no—
737C23×C17—21no—
738C23×C17—21no—
739C23×C17—21no—
740C23×C17C22×D412yes—
741C23×C17C2×#4112yes—
742C23×C17C2×#4112yes—
743C23×C17C2511yescharacteristic
744C22×D17—21no—
745C22×D17—21no—
746C22×D17—21no—
747C22×D17—21no—
748C22×D17—21no—
749C22×D17—21no—
750C22×D17—21no—
751C22×D17—21no—
752C22×D17—21no—
753C22×D17—21no—
754C22×D17—21no—
755C22×D17—21no—
756C22×D17—21no—
757C22×D17—21no—
758C22×D17—21no—
759C22×D17—21no—
760C22×D17—21no—
761C22×D17—21no—
762C22×D17—28no—
763C22×D17—28no—
764C22×D17—28no—
765C22×D17—28no—
766C22×D17—28no—
767C22×D17—28no—
768C22×D17—28no—
769C22×D17—28no—
770C22×D17—28no—
771C22×D17—21no—
772C22×D17—21no—
773C22×D17—21no—
774C22×D17—21no—
775C22×D17—21no—
776C22×D17—21no—
777C22×D17—21no—
778C22×D17—44no—
779C22×D17—44no—
780C22×D17—44no—
781C22×D17—44no—
782C22×D17—44no—
783C22×D17—44no—
784C22×D17—44no—
785C22×D17—44no—
786C22×D17—44no—
787C22×D17—44no—
788C22×D17—44no—
789C22×D17—44no—
790C22×D17—44no—
791C22×D17—44no—
792C22×D17—44no—
793C22×D17—44no—
794C22×D17—44no—
795C22×D17—44no—
796C22×D17—44no—
797C22×D17C22×D412yes—
798C22×D17C22×D412yes—
799C22×D17C22×D412yes—
800C22×D17C2×#4112yes—
801C22×D17C2×#4112yes—
802C22×D17C2×#4112yes—
803C22×D17C2×#4112yes—
804C22×D17C2×#4112yes—
805C22×D17H(5,𝔽2)12yes—
806C22×D17H(5,𝔽2)12yes—
807D4×C17—28no—
808D4×C17—28no—
809D4×C17—44no—
810D4×C17—44no—
811D4×C17—44no—
812D4×C17—44no—
813C2×C4×C17—21no—
814C2×C4×C17—21no—
815C2×C4×C17—21no—
816C2×C4×C17—21no—
817C2×C4×C17—21no—
818C2×C4×C17—21no—
819C2×C4×C17—21no—
820C2×C4×C17—21no—
821C2×C4×C17—21no—
822C2×C4×C17—21no—
823C2×C4×C17—21no—
824C2×C4×C17—21no—
825C2×C4×C17—21no—
826C2×C4×C17—21no—
827C2×C4×C17—21no—
828C2×C4×C17—21no—
829C2×C4×C17—21no—
830C2×C4×C17—21no—
831C2×C4×C17—21no—
832C2×C4×C17—21no—
833C2×C4×C17—21no—
834C2×C4×C17—21no—
835C2×C4×C17—21no—
836C2×C4×C17—21no—
837C2×C4×C17—21no—
838C2×C4×C17—21no—
839C2×C4×C17—21no—
840C2×C4×C17—44no—
841C2×C4×C17—44no—
842C2×C4×C17—44no—
843C2×C4×C17C22×D412yes—
844C2×C4×C17C22×D412yes—
845C2×C4×C17C22×D412yes—
846C2×C4×C17C22×D412yes—
847C2×C4×C17C22×D412yes—
848C2×C4×C17C2×#4112yes—
849C22⋊D17—28no—
850C22⋊D17—28no—
851C22⋊D17—28no—
852C22⋊D17—28no—
853C22⋊D17—44no—
854C22⋊D17—44no—
855C22⋊D17—44no—
856C22⋊D17—44no—
857C22⋊D17—44no—
858C22⋊D17—44no—
859C22⋊D17—44no—
860C22⋊D17—44no—
861C2×Dic17—21no—
862C2×Dic17—21no—
863C2×Dic17—21no—
864C2×Dic17—21no—
865C2×Dic17—21no—
866C2×Dic17—21no—
867C2×Dic17—21no—
868C2×Dic17—21no—
869C2×Dic17—21no—
870C2×Dic17—21no—
871C2×Dic17—21no—
872C2×Dic17—21no—
873C2×Dic17—21no—
874C2×Dic17—21no—
875C2×Dic17—21no—
876C2×Dic17—21no—
877C2×Dic17—21no—
878C2×Dic17—21no—
879C2×Dic17—21no—
880C2×Dic17—21no—
881C2×Dic17—21no—
882C2×Dic17—21no—
883C2×Dic17—21no—
884C2×Dic17—21no—
885C2×Dic17—21no—
886C2×Dic17—21no—
887C2×Dic17—21no—
888C2×Dic17—44no—
889C2×Dic17—44no—
890C2×Dic17—44no—
891C2×Dic17C22×D412yes—
892C2×Dic17C22×D412yes—
893C2×Dic17C22×D412yes—
894C2×Dic17C22×D412yes—
895C2×Dic17C22×D412yes—
896C2×Dic17C2×#4112yes—
897D68—28no—
898D68—28no—
899D68—44no—
900D68—44no—
901D68—44no—
902D68—44no—
903C4×D17—28no—
904C4×D17—28no—
905C4×D17—28no—
906C4×D17—28no—
907C4×D17—28no—
908C4×D17—28no—
909C4×D17—44no—
910C4×D17—44no—
911C4×D17—44no—
912C4×D17—44no—
913C4×D17—44no—
914C4×D17—44no—
915C4×D17—44no—
916C4×D17—44no—
917C4×D17—44no—
918C4×D17—44no—
919C4×D17—44no—
920C22×#123—171no—
921C22×#121—171no—
922C22×C4×D4—171no—
923C22×C4×D4—171no—
924#2456—171no—
925#2456—171no—
926#2456—171no—
927#2456—171no—
928#2456—171no—
929#2456—171no—
930#2456—171no—
931#2456—171no—
932#2456—171no—
933#2456—171no—
934#2456—171no—
935#2456—171no—
936#2456—171no—
937#2456—171no—
938#2456—171no—
939#2456D1711yescharacteristic, direct product factor
940C2×#396—171no—
941C2×#392—171no—
942C2×#392—171no—
943C2×#392—171no—
944C2×#390—171no—
945C2×#388—171no—
946C2×#388—171no—
947C2×#387—171no—
948C2×#386—171no—
949C2×#386—171no—
950C2×#385—171no—
951C22×C17—22no—
952C22×C17—22no—
953C22×C17—22no—
954C22×C17—22no—
955C22×C17—22no—
956C22×C17—22no—
957C22×C17—22no—
958C22×C17—22no—
959C22×C17—22no—
960C22×C17—41no—
961C22×C17—41no—
962C22×C17—41no—
963C22×C17—41no—
964C22×C17—41no—
965C22×C17—41no—
966C22×C17—41no—
967C22×C17—41no—
968C22×C17—41no—
969C22×C17—41no—
970C22×C17—41no—
971C22×C17—41no—
972C22×C17—41no—
973C22×C17—41no—
974C22×C17—41no—
975C22×C17—41no—
976C22×C17—41no—
977C22×C17—41no—
978C22×C17—41no—
979C22×C17C23×D411yescharacteristic
980C22×C17C23×D411yescharacteristic
981C22×C17C22×#4111yescharacteristic
982C22×C17C22×#4111yescharacteristic
983C22×C17C22×#4111yescharacteristic
984C22×C17C2×H(5,𝔽2)11yescharacteristic
985C22×C17C2×H(5,𝔽2)11yescharacteristic
986C2×D17—22no—
987C2×D17—22no—
988C2×D17—22no—
989C2×D17—22no—
990C2×D17—22no—
991C2×D17—22no—
992C2×D17—22no—
993C2×D17—22no—
994C2×D17—22no—
995C2×D17—41no—
996C2×D17—41no—
997C2×D17—41no—
998C2×D17—41no—
999C2×D17—41no—
1000C2×D17—41no—
1001C2×D17—41no—
1002C2×D17—41no—
1003C2×D17—41no—
1004C2×D17—41no—
1005C2×D17—41no—
1006C2×D17—41no—
1007C2×D17—416no—
1008C2×D17—416no—
1009C2×D17—416no—
1010C2×D17—41no—
1011C2×D17—41no—
1012C2×D17—41no—
1013C2×D17—41no—
1014C2×D17—41no—
1015C2×D17—41no—
1016C2×D17—41no—
1017C2×D17—88no—
1018C2×D17#52514yes—
1019C2×D17#52514yes—
1020C2×D17#53814yes—
1021C2×D17D4214yes—
1022C2×D17#54614yes—
1023C2×D17#55014yes—
1024C2×D17#55314yes—
1025C4×C17—22no—
1026C4×C17—22no—
1027C4×C17—22no—
1028C4×C17—22no—
1029C4×C17—22no—
1030C4×C17—22no—
1031C4×C17—41no—
1032C4×C17—41no—
1033C4×C17—41no—
1034C4×C17—41no—
1035C4×C17—41no—
1036Dic17—22no—
1037Dic17—22no—
1038Dic17—22no—
1039Dic17—22no—
1040Dic17—22no—
1041Dic17—22no—
1042Dic17—41no—
1043Dic17—41no—
1044Dic17—41no—
1045Dic17—41no—
1046Dic17—41no—
1047C23×D4—171no—
1048C23×D4—171no—
1049C23×D4—171no—
1050C23×D4—171no—
1051C23×D4—171no—
1052C23×D4—171no—
1053C24×C4—171no—
1054C24×C4—171no—
1055C24×C4—171no—
1056C2×#123—171no—
1057C2×#123—171no—
1058C2×#123—171no—
1059C2×#123—171no—
1060C2×#123—171no—
1061C2×#123—171no—
1062C2×#123—171no—
1063C2×#123—348no—
1064C2×#123C2×D1711yescharacteristic, complemented
1065C2×#121—171no—
1066C2×#121—171no—
1067C2×#121—171no—
1068C2×#121—171no—
1069C2×#121—171no—
1070C2×#121—171no—
1071C2×#121—171no—
1072C2×#121—348no—
1073C2×#121C2×D1711yescharacteristic, complemented
1074C2×C4×D4—171no—
1075C2×C4×D4—171no—
1076C2×C4×D4—171no—
1077C2×C4×D4—171no—
1078C2×C4×D4—171no—
1079C2×C4×D4—171no—
1080C2×C4×D4—171no—
1081C2×C4×D4—171no—
1082C2×C4×D4—171no—
1083C2×C4×D4—171no—
1084C2×C4×D4—171no—
1085C2×C4×D4—171no—
1086C2×C4×D4—171no—
1087C2×C4×D4—171no—
1088C2×C4×D4—348no—
1089C2×C4×D4—348no—
1090C2×C4×D4C2×D1711yescharacteristic, complemented
1091C2×C4×D4C2×D1711yescharacteristic, complemented
1092C22×C4⋊C4—171no—
1093C22×C4⋊C4—171no—
1094C22×C4⋊C4—171no—
1095C22×C4⋊C4—171no—
1096C22×C4⋊C4—171no—
1097C22×C22⋊C4—171no—
1098C22×C22⋊C4—171no—
1099C22×C22⋊C4—171no—
1100C22×C22⋊C4—171no—
1101C22×C22⋊C4—171no—
1102C22×C22⋊C4—171no—
1103C22×C22⋊C4—171no—
1104C22×C22⋊C4—171no—
1105C22×C22⋊C4—171no—
1106C22×C22⋊C4—171no—
1107C22×C22⋊C4—171no—
1108C22×C22⋊C4—171no—
1109C22×C22⋊C4—171no—
1110C22×C42—171no—
1111C22×C42—171no—
1112#396—171no—
1113#396—171no—
1114#396—171no—
1115#396—171no—
1116#396—171no—
1117#396—171no—
1118#396—171no—
1119#396C2×D1711yescharacteristic, complemented
1120#392—171no—
1121#392—171no—
1122#392—171no—
1123#392—171no—
1124#392—171no—
1125#392—171no—
1126#392—171no—
1127#392—171no—
1128#392—171no—
1129#392—171no—
1130#392—171no—
1131#392—171no—
1132#392—171no—
1133#392—171no—
1134#392—171no—
1135#392—171no—
1136#392—171no—
1137#392—171no—
1138#392—171no—
1139#392—171no—
1140#392—171no—
1141#392C2×D1711yescharacteristic, complemented
1142#392C2×D1711yescharacteristic, complemented
1143#392C2×D1711yescharacteristic, complemented
1144#390—171no—
1145#390—171no—
1146#390—171no—
1147#390—171no—
1148#390—171no—
1149#390—171no—
1150#390—171no—
1151#390C2×D1711yescharacteristic, complemented
1152#388—171no—
1153#388—171no—
1154#388—171no—
1155#388—171no—
1156#388—171no—
1157#388—171no—
1158#388—171no—
1159#388—171no—
1160#388—171no—
1161#388—171no—
1162#388—171no—
1163#388—171no—
1164#388—171no—
1165#388—171no—
1166#388C2×D1711yescharacteristic, complemented
1167#388C2×D1711yescharacteristic, complemented
1168#387—171no—
1169#387—171no—
1170#387—171no—
1171#387—171no—
1172#387—171no—
1173#387—171no—
1174#387—171no—
1175#387C2×D1711yescharacteristic, complemented
1176#386—171no—
1177#386—171no—
1178#386—171no—
1179#386—171no—
1180#386—171no—
1181#386—171no—
1182#386—171no—
1183#386—171no—
1184#386—171no—
1185#386—171no—
1186#386—171no—
1187#386—171no—
1188#386—171no—
1189#386—171no—
1190#386C2×D1711yescharacteristic, complemented
1191#386C2×D1711yescharacteristic, complemented
1192#385—171no—
1193#385—171no—
1194#385—171no—
1195#385—171no—
1196#385—171no—
1197#385—171no—
1198#385—171no—
1199#385C2×D1711yescharacteristic, complemented
1200C2×#95—171no—
1201C2×#95—171no—
1202C2×#95—171no—
1203C2×#95—171no—
1204C2×#95—171no—
1205C2×#95—171no—
1206C2×C17—42no—
1207C2×C17—42no—
1208C2×C17—42no—
1209C2×C17—81no—
1210C2×C17C2×#52511yescharacteristic
1211C2×C17C2×#52511yescharacteristic
1212C2×C17C2×#53811yescharacteristic
1213C2×C17C2×D4211yescharacteristic
1214C2×C17C2×#54611yescharacteristic
1215C2×C17C2×#55011yescharacteristic
1216C2×C17C2×#55311yescharacteristic
1217D17—42no—
1218D17—42no—
1219D17—42no—
1220D17—81no—
1221D17#245618yesdirect product factor
1222C25—171no—
1223C25—171no—
1224C25—171no—
1225C25—171no—
1226C22×D4—171no—
1227C22×D4—171no—
1228C22×D4—171no—
1229C22×D4—171no—
1230C22×D4—171no—
1231C22×D4—171no—
1232C22×D4—171no—
1233C22×D4—171no—
1234C22×D4—171no—
1235C22×D4—171no—
1236C22×D4—171no—
1237C22×D4—171no—
1238C22×D4—171no—
1239C22×D4—171no—
1240C22×D4—171no—
1241C22×D4—171no—
1242C22×D4—171no—
1243C22×D4—171no—
1244C22×D4—344no—
1245C22×D4—344no—
1246C22×D4—344no—
1247C22×D4—344no—
1248C22×D4—344no—
1249C22×D4—344no—
1250C22×D4—344no—
1251C22×D4—344no—
1252C22×D4—344no—
1253C22×D4—344no—
1254C22×D4—344no—
1255C22×D4—344no—
1256C22×D4—344no—
1257C22×D4—682no—
1258C22×D4—682no—
1259C22×D4—682no—
1260C22×D4—682no—
1261C22×D4—682no—
1262C22×D4C22×D1711yescharacteristic
1263C22×D4C22×D1711yescharacteristic
1264C22×D4C22×D1711yescharacteristic
1265C22×D4C22×D1711yescharacteristic
1266C22×D4C22×D1711yescharacteristic
1267C22×D4C22×D1711yescharacteristic
1268C23×C4—171no—
1269C23×C4—171no—
1270C23×C4—171no—
1271C23×C4—171no—
1272C23×C4—171no—
1273C23×C4—171no—
1274C23×C4—171no—
1275C23×C4—171no—
1276C23×C4—171no—
1277C23×C4—171no—
1278C23×C4—171no—
1279C23×C4—171no—
1280C23×C4—171no—
1281C23×C4—171no—
1282C23×C4—171no—
1283C23×C4—171no—
1284C23×C4—171no—
1285C23×C4—171no—
1286C23×C4—171no—
1287C23×C4—171no—
1288C23×C4—344no—
1289C23×C4—344no—
1290C23×C4—344no—
1291C23×C4—344no—
1292C23×C4—344no—
1293C23×C4—344no—
1294C23×C4—682no—
1295C23×C4—682no—
1296C23×C4—682no—
1297C23×C4C22×D1711yescharacteristic
1298C23×C4C22×D1711yescharacteristic
1299C23×C4C22×D1711yescharacteristic
1300#123—24no—
1301#123—344no—
1302#123—344no—
1303#123—344no—
1304#123—344no—
1305#123—344no—
1306#123—344no—
1307#123—344no—
1308#121—24no—
1309#121—344no—
1310#121—344no—
1311#121—344no—
1312#121—344no—
1313#121—344no—
1314#121—344no—
1315#121—344no—
1316C4×D4—24no—
1317C4×D4—24no—
1318C4×D4—344no—
1319C4×D4—344no—
1320C4×D4—344no—
1321C4×D4—344no—
1322C4×D4—344no—
1323C4×D4—344no—
1324C4×D4—344no—
1325C4×D4—344no—
1326C4×D4—344no—
1327C4×D4—344no—
1328C4×D4—344no—
1329C4×D4—344no—
1330C4×D4—344no—
1331C4×D4—344no—
1332C2×C4⋊C4—171no—
1333C2×C4⋊C4—171no—
1334C2×C4⋊C4—171no—
1335C2×C4⋊C4—178no—
1336C2×C4⋊C4—171no—
1337C2×C4⋊C4—171no—
1338C2×C4⋊C4—171no—
1339C2×C4⋊C4—171no—
1340C2×C4⋊C4—171no—
1341C2×C4⋊C4—171no—
1342C2×C4⋊C4—171no—
1343C2×C4⋊C4—171no—
1344C2×C4⋊C4—171no—
1345C2×C4⋊C4—171no—
1346C2×C4⋊C4—171no—
1347C2×C4⋊C4—171no—
1348C2×C4⋊C4—344no—
1349C2×C4⋊C4—344no—
1350C2×C4⋊C4—344no—
1351C2×C4⋊C4—682no—
1352C2×C4⋊C4C22×D1711yescharacteristic
1353C2×C4⋊C4C22×D1711yescharacteristic
1354C2×C4⋊C4C22×D1711yescharacteristic
1355C2×C4⋊C4C22×D1711yescharacteristic
1356C2×C4⋊C4C22×D1711yescharacteristic
1357C2×C22⋊C4—171no—
1358C2×C22⋊C4—171no—
1359C2×C22⋊C4—171no—
1360C2×C22⋊C4—178no—
1361C2×C22⋊C4—171no—
1362C2×C22⋊C4—171no—
1363C2×C22⋊C4—171no—
1364C2×C22⋊C4—171no—
1365C2×C22⋊C4—171no—
1366C2×C22⋊C4—171no—
1367C2×C22⋊C4—171no—
1368C2×C22⋊C4—171no—
1369C2×C22⋊C4—171no—
1370C2×C22⋊C4—171no—
1371C2×C22⋊C4—171no—
1372C2×C22⋊C4—171no—
1373C2×C22⋊C4—171no—
1374C2×C22⋊C4—171no—
1375C2×C22⋊C4—171no—
1376C2×C22⋊C4—171no—
1377C2×C22⋊C4—171no—
1378C2×C22⋊C4—171no—
1379C2×C22⋊C4—171no—
1380C2×C22⋊C4—171no—
1381C2×C22⋊C4—171no—
1382C2×C22⋊C4—171no—
1383C2×C22⋊C4—171no—
1384C2×C22⋊C4—171no—
1385C2×C22⋊C4—171no—
1386C2×C22⋊C4—171no—
1387C2×C22⋊C4—171no—
1388C2×C22⋊C4—171no—
1389C2×C22⋊C4—171no—
1390C2×C22⋊C4—171no—
1391C2×C22⋊C4—171no—
1392C2×C22⋊C4—171no—
1393C2×C22⋊C4—171no—
1394C2×C22⋊C4—171no—
1395C2×C22⋊C4—171no—
1396C2×C22⋊C4—171no—
1397C2×C22⋊C4—344no—
1398C2×C22⋊C4—344no—
1399C2×C22⋊C4—344no—
1400C2×C22⋊C4—344no—
1401C2×C22⋊C4—344no—
1402C2×C22⋊C4—344no—
1403C2×C22⋊C4—344no—
1404C2×C22⋊C4—344no—
1405C2×C22⋊C4—344no—
1406C2×C22⋊C4—682no—
1407C2×C22⋊C4—682no—
1408C2×C22⋊C4—682no—
1409C2×C22⋊C4C22×D1711yescharacteristic
1410C2×C22⋊C4C22×D1711yescharacteristic
1411C2×C22⋊C4C22×D1711yescharacteristic
1412C2×C22⋊C4C22×D1711yescharacteristic
1413C2×C22⋊C4C22×D1711yescharacteristic
1414C2×C22⋊C4C22×D1711yescharacteristic
1415C2×C22⋊C4C22×D1711yescharacteristic
1416C2×C22⋊C4C22×D1711yescharacteristic
1417C2×C22⋊C4C22×D1711yescharacteristic
1418C2×C22⋊C4C22×D1711yescharacteristic
1419C2×C22⋊C4C22×D1711yescharacteristic
1420C2×C22⋊C4C22×D1711yescharacteristic
1421C2×C22⋊C4C22×D1711yescharacteristic
1422C2×C42—171no—
1423C2×C42—171no—
1424C2×C42—171no—
1425C2×C42—171no—
1426C2×C42—171no—
1427C2×C42—171no—
1428C2×C42—344no—
1429C2×C42—344no—
1430C2×C42C22×D1711yescharacteristic
1431C2×C42C22×D1711yescharacteristic
1432#95—171no—
1433#95—171no—
1434#95—171no—
1435#95—171no—
1436#95—171no—
1437#95—171no—
1438#95—171no—
1439#95—171no—
1440#95—171no—
1441#95—171no—
1442#95—171no—
1443#95—171no—
1444#95—171no—
1445#95—171no—
1446#95—171no—
1447#95—171no—
1448#95—171no—
1449#95—171no—
1450#95C22×D1711yescharacteristic
1451#95C22×D1711yescharacteristic
1452#95C22×D1711yescharacteristic
1453#95C22×D1711yescharacteristic
1454#95C22×D1711yescharacteristic
1455#95C22×D1711yescharacteristic
1456C17C2×#245611yescharacteristic, complemented, Sylow
1457C24—171no—
1458C24—174no—
1459C24—174no—
1460C24—174no—
1461C24—171no—
1462C24—171no—
1463C24—171no—
1464C24—171no—
1465C24—342no—
1466C24—342no—
1467C24—342no—
1468C24—342no—
1469C24—342no—
1470C24—342no—
1471C24—342no—
1472C24—342no—
1473C24—342no—
1474C24—342no—
1475C24—342no—
1476C24—342no—
1477C24—342no—
1478C24—342no—
1479C24—342no—
1480C24—342no—
1481C24—342no—
1482C24—342no—
1483C24—342no—
1484C24—342no—
1485C24—342no—
1486C24—342no—
1487C24—342no—
1488C24—342no—
1489C24—342no—
1490C24C23×D1711yescharacteristic
1491C24C23×D1711yescharacteristic
1492C24C23×D1711yescharacteristic
1493C24C23×D1711yescharacteristic
1494C2×D4—22no—
1495C2×D4—22no—
1496C2×D4—22no—
1497C2×D4—22no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—342no—
1513C2×D4—342no—
1514C2×D4—342no—
1515C2×D4—342no—
1516C2×D4—342no—
1517C2×D4—342no—
1518C2×D4—342no—
1519C2×D4—342no—
1520C2×D4—342no—
1521C2×D4—342no—
1522C2×D4—342no—
1523C2×D4—342no—
1524C2×D4—342no—
1525C2×D4—342no—
1526C2×D4—342no—
1527C2×D4—342no—
1528C2×D4—342no—
1529C2×D4—3432no—
1530C2×D4—3432no—
1531C2×D4—342no—
1532C2×D4—342no—
1533C2×D4—342no—
1534C2×D4—342no—
1535C2×D4—342no—
1536C2×D4—342no—
1537C2×D4—342no—
1538C2×D4—342no—
1539C2×D4—342no—
1540C2×D4—342no—
1541C2×D4—342no—
1542C2×D4—342no—
1543C2×D4—342no—
1544C2×D4—342no—
1545C2×D4—342no—
1546C2×D4—342no—
1547C2×D4—342no—
1548C2×D4—342no—
1549C2×D4—342no—
1550C2×D4—342no—
1551C2×D4—342no—
1552C2×D4—342no—
1553C2×D4—681no—
1554C2×D4—681no—
1555C2×D4—681no—
1556C2×D4—681no—
1557C2×D4—681no—
1558C2×D4—6816no—
1559C2×D4—6816no—
1560C2×D4—681no—
1561C2×D4—681no—
1562C2×D4—681no—
1563C2×D4—681no—
1564C2×D4—681no—
1565C2×D4—681no—
1566C2×D4—681no—
1567C2×D4—681no—
1568C2×D4—681no—
1569C2×D4—681no—
1570C2×D4—6816no—
1571C2×D4—6816no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—41no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—171no—
1582C22×C4—171no—
1583C22×C4—171no—
1584C22×C4—171no—
1585C22×C4—171no—
1586C22×C4—171no—
1587C22×C4—174no—
1588C22×C4—174no—
1589C22×C4—174no—
1590C22×C4—174no—
1591C22×C4—174no—
1592C22×C4—174no—
1593C22×C4—171no—
1594C22×C4—171no—
1595C22×C4—171no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—342no—
1599C22×C4—342no—
1600C22×C4—342no—
1601C22×C4—342no—
1602C22×C4—342no—
1603C22×C4—342no—
1604C22×C4—342no—
1605C22×C4—342no—
1606C22×C4—342no—
1607C22×C4—342no—
1608C22×C4—342no—
1609C22×C4—342no—
1610C22×C4—342no—
1611C22×C4—342no—
1612C22×C4—342no—
1613C22×C4—342no—
1614C22×C4—342no—
1615C22×C4—342no—
1616C22×C4—342no—
1617C22×C4—342no—
1618C22×C4—342no—
1619C22×C4—342no—
1620C22×C4—342no—
1621C22×C4—342no—
1622C22×C4—342no—
1623C22×C4—342no—
1624C22×C4—342no—
1625C22×C4—342no—
1626C22×C4—342no—
1627C22×C4—342no—
1628C22×C4—342no—
1629C22×C4—342no—
1630C22×C4—342no—
1631C22×C4—342no—
1632C22×C4—342no—
1633C22×C4—342no—
1634C22×C4—342no—
1635C22×C4—342no—
1636C22×C4—342no—
1637C22×C4—342no—
1638C22×C4—342no—
1639C22×C4—342no—
1640C22×C4—342no—
1641C22×C4—342no—
1642C22×C4—342no—
1643C22×C4—681no—
1644C22×C4—681no—
1645C22×C4—681no—
1646C22×C4—681no—
1647C22×C4—681no—
1648C22×C4—681no—
1649C22×C4—6816no—
1650C22×C4—6816no—
1651C22×C4—6816no—
1652C22×C4—681no—
1653C22×C4—681no—
1654C22×C4—681no—
1655C22×C4C23×D1711yescharacteristic
1656C22×C4C23×D1711yescharacteristic
1657C22×C4C23×D1711yescharacteristic
1658C22×C4C23×D1711yescharacteristic
1659C22×C4C23×D1711yescharacteristic
1660C22×C4C23×D1711yescharacteristic
1661C22×C4C23×D1711yescharacteristic
1662C22×C4C23×D1711yescharacteristic
1663C22×C4C23×D1711yescharacteristic
1664C22×C4C23×D1711yescharacteristic
1665C22×C4C23×D1711yescharacteristic
1666C4⋊C4—22no—
1667C4⋊C4—22no—
1668C4⋊C4—22no—
1669C4⋊C4—41no—
1670C4⋊C4—174no—
1671C4⋊C4—174no—
1672C4⋊C4—174no—
1673C4⋊C4—342no—
1674C4⋊C4—342no—
1675C4⋊C4—342no—
1676C4⋊C4—342no—
1677C4⋊C4—342no—
1678C4⋊C4—342no—
1679C4⋊C4—342no—
1680C4⋊C4—342no—
1681C4⋊C4—342no—
1682C4⋊C4—681no—
1683C4⋊C4—681no—
1684C4⋊C4—681no—
1685C4⋊C4D4×D1714yescomplemented
1686C22⋊C4—22no—
1687C22⋊C4—22no—
1688C22⋊C4—22no—
1689C22⋊C4—22no—
1690C22⋊C4—22no—
1691C22⋊C4—22no—
1692C22⋊C4—22no—
1693C22⋊C4—22no—
1694C22⋊C4—22no—
1695C22⋊C4—41no—
1696C22⋊C4—41no—
1697C22⋊C4—41no—
1698C22⋊C4—174no—
1699C22⋊C4—174no—
1700C22⋊C4—174no—
1701C22⋊C4—342no—
1702C22⋊C4—342no—
1703C22⋊C4—342no—
1704C22⋊C4—342no—
1705C22⋊C4—342no—
1706C22⋊C4—342no—
1707C22⋊C4—342no—
1708C22⋊C4—342no—
1709C22⋊C4—342no—
1710C22⋊C4—342no—
1711C22⋊C4—342no—
1712C22⋊C4—342no—
1713C22⋊C4—342no—
1714C22⋊C4—342no—
1715C22⋊C4—342no—
1716C22⋊C4—342no—
1717C22⋊C4—342no—
1718C22⋊C4—342no—
1719C22⋊C4—342no—
1720C22⋊C4—342no—
1721C22⋊C4—342no—
1722C22⋊C4—342no—
1723C22⋊C4—342no—
1724C22⋊C4—342no—
1725C22⋊C4—342no—
1726C22⋊C4—342no—
1727C22⋊C4—342no—
1728C22⋊C4—681no—
1729C22⋊C4—681no—
1730C22⋊C4—681no—
1731C22⋊C4—681no—
1732C22⋊C4—681no—
1733C22⋊C4—681no—
1734C22⋊C4—681no—
1735C22⋊C4—681no—
1736C22⋊C4—681no—
1737C22⋊C4D4×D1714yescomplemented
1738C42—22no—
1739C42—22no—
1740C42—342no—
1741C42—342no—
1742C42—342no—
1743C42—342no—
1744C42—342no—
1745C42—342no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—172no—
1772C23—172no—
1773C23—172no—
1774C23—172no—
1775C23—172no—
1776C23—172no—
1777C23—172no—
1778C23—172no—
1779C23—172no—
1780C23—172no—
1781C23—348no—
1782C23—348no—
1783C23—348no—
1784C23—348no—
1785C23—348no—
1786C23—348no—
1787C23—348no—
1788C23—348no—
1789C23—348no—
1790C23—341no—
1791C23—341no—
1792C23—341no—
1793C23—341no—
1794C23—341no—
1795C23—341no—
1796C23—341no—
1797C23—341no—
1798C23—341no—
1799C23—341no—
1800C23—341no—
1801C23—341no—
1802C23—341no—
1803C23—341no—
1804C23—341no—
1805C23—341no—
1806C23—341no—
1807C23—341no—
1808C23—341no—
1809C23—341no—
1810C23—341no—
1811C23—341no—
1812C23—341no—
1813C23—341no—
1814C23—341no—
1815C23—684no—
1816C23—684no—
1817C23—684no—
1818C23—684no—
1819C23—684no—
1820C23—684no—
1821C23—684no—
1822C23—684no—
1823C23—684no—
1824C23—684no—
1825C23—684no—
1826C23—684no—
1827C23—684no—
1828C23—684no—
1829C23—684no—
1830C23—684no—
1831C23—684no—
1832C23—684no—
1833C23—684no—
1834C23C2×D4×D1712yes—
1835C23#41×D1712yes—
1836C23#41×D1712yes—
1837C23C24×D1711yescharacteristic
1838D4—28no—
1839D4—28no—
1840D4—44no—
1841D4—44no—
1842D4—44no—
1843D4—44no—
1844D4—348no—
1845D4—348no—
1846D4—348no—
1847D4—348no—
1848D4—348no—
1849D4—348no—
1850D4—684no—
1851D4—684no—
1852D4—684no—
1853D4—684no—
1854D4—684no—
1855D4—684no—
1856D4—684no—
1857D4—684no—
1858D4—684no—
1859D4—684no—
1860D4—684no—
1861D4—684no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—172no—
1893C2×C4—172no—
1894C2×C4—172no—
1895C2×C4—172no—
1896C2×C4—172no—
1897C2×C4—172no—
1898C2×C4—348no—
1899C2×C4—348no—
1900C2×C4—348no—
1901C2×C4—348no—
1902C2×C4—348no—
1903C2×C4—348no—
1904C2×C4—341no—
1905C2×C4—341no—
1906C2×C4—341no—
1907C2×C4—341no—
1908C2×C4—341no—
1909C2×C4—341no—
1910C2×C4—341no—
1911C2×C4—341no—
1912C2×C4—341no—
1913C2×C4—341no—
1914C2×C4—341no—
1915C2×C4—341no—
1916C2×C4—341no—
1917C2×C4—341no—
1918C2×C4—341no—
1919C2×C4—341no—
1920C2×C4—341no—
1921C2×C4—341no—
1922C2×C4—341no—
1923C2×C4—341no—
1924C2×C4—341no—
1925C2×C4—341no—
1926C2×C4—341no—
1927C2×C4—341no—
1928C2×C4—341no—
1929C2×C4—341no—
1930C2×C4—341no—
1931C2×C4—684no—
1932C2×C4—684no—
1933C2×C4—684no—
1934C2×C4—684no—
1935C2×C4—684no—
1936C2×C4—684no—
1937C2×C4—684no—
1938C2×C4—684no—
1939C2×C4—684no—
1940C2×C4—684no—
1941C2×C4—684no—
1942C2×C4—684no—
1943C2×C4—684no—
1944C2×C4—684no—
1945C2×C4C2×D4×D1712yes—
1946C2×C4C2×D4×D1712yes—
1947C2×C4C2×D4×D1712yes—
1948C2×C4C2×D4×D1712yes—
1949C2×C4C2×D4×D1712yes—
1950C2×C4#41×D1712yes—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—41no—
1967C22—41no—
1968C22—41no—
1969C22—41no—
1970C22—41no—
1971C22—41no—
1972C22—41no—
1973C22—41no—
1974C22—41no—
1975C22—41no—
1976C22—41no—
1977C22—41no—
1978C22—41no—
1979C22—174no—
1980C22—174no—
1981C22—174no—
1982C22—174no—
1983C22—174no—
1984C22—174no—
1985C22—174no—
1986C22—342no—
1987C22—342no—
1988C22—342no—
1989C22—342no—
1990C22—342no—
1991C22—342no—
1992C22—342no—
1993C22—342no—
1994C22—342no—
1995C22—6816no—
1996C22—6816no—
1997C22—6816no—
1998C22—681no—
1999C22—681no—
2000C22—681no—
2001C22—681no—
2002C22—681no—
2003C22—681no—
2004C22—681no—
2005C22—681no—
2006C22—681no—
2007C22—681no—
2008C22—681no—
2009C22—681no—
2010C22—681no—
2011C22—681no—
2012C22—681no—
2013C22—681no—
2014C22—681no—
2015C22—681no—
2016C22—681no—
2017C22—1368no—
2018C22C22×D4×D1711yescharacteristic
2019C22C22×D4×D1711yescharacteristic
2020C22C2×#41×D1711yescharacteristic
2021C22C2×#41×D1711yescharacteristic
2022C22C2×#41×D1711yescharacteristic
2023C22H(5,𝔽2)×D1711yescharacteristic
2024C22H(5,𝔽2)×D1711yescharacteristic
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—41no—
2032C4—41no—
2033C4—41no—
2034C4—41no—
2035C4—41no—
2036C4—342no—
2037C4—342no—
2038C4—342no—
2039C4—342no—
2040C4—342no—
2041C4—342no—
2042C4—681no—
2043C4—681no—
2044C4—681no—
2045C4—681no—
2046C4—681no—
2047C2—42no—
2048C2—42no—
2049C2—42no—
2050C2—81no—
2051C2—178no—
2052C2—682no—
2053C2—682no—
2054C2—682no—
2055C2—1361no—
2056C2D17×#52511yescharacteristic
2057C2D17×#52511yescharacteristic
2058C2D17×#53811yescharacteristic
2059C2D42×D1711yescharacteristic
2060C2D17×#54611yescharacteristic
2061C2D17×#55011yescharacteristic
2062C2D17×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2456C2
hypercenter#2456D17
hypocenterC17C2×#2456
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#123×D17C2semidirect
2. C2×#121×D17C2semidirect
3. C2×C4×D4×D17C2semidirect
4. C2×C4×D4×D17C2semidirect
5. #14532683C2semidirect
6. #14532682C2semidirect
7. #14532681C2semidirect
8. #14532680C2semidirect
9. #14532679C2semidirect
10. #14532678C2semidirect
11. #14532677C2semidirect
12. #14532676C2semidirect
13. #14532675C2semidirect
14. #14532674C2semidirect
15. #14532673C2semidirect
16. #14532672C2semidirect
17. #14532671C2semidirect
18. #14532670C2semidirect
19. #14532669C2semidirect
20. D17×#396C2semidirect
21. D17×#392C2semidirect
22. D17×#392C2semidirect
23. D17×#392C2semidirect
24. D17×#390C2semidirect
25. D17×#388C2semidirect
26. D17×#388C2semidirect
27. D17×#387C2semidirect
28. D17×#386C2semidirect
29. D17×#386C2semidirect
30. D17×#385C2semidirect
31. C17×#2456C2semidirect
41. C2×#10587580C22semidirect
42. C2×#10587580C22semidirect
43. C2×#10587572C22semidirect
44. C2×#10587615C22semidirect
45. C2×#10587569C22semidirect
46. C2×#10587569C22semidirect
47. C2×#10587621C22semidirect
49. C2×#10587581C22semidirect
50. C2×#10587616C22semidirect
51. C2×#10587570C22semidirect
52. C2×#10587570C22semidirect
53. C2×#10587625C22semidirect
54. C2×#10587625C22semidirect
55. C2×#10587624C22semidirect
57. C2×C4×D68C22semidirect
58. C2×C4×D68C22semidirect
59. C2×D4×Dic17C22semidirect
60. C2×D4×Dic17C22semidirect
61. C2×#10587579C22semidirect
62. C2×#10587579C22semidirect
63. C2×C4×C22⋊D17C22semidirect
64. C2×C4×C22⋊D17C22semidirect
65. C2×C4×C22⋊D17C22semidirect
66. C2×C4×C22⋊D17C22semidirect
67. C2×#10587567C22semidirect
68. C2×#10587567C22semidirect
69. C2×#10587567C22semidirect
70. C2×#10587567C22semidirect
93. #11762733C22semidirect
94. #11762732C22semidirect
95. #11762732C22semidirect
96. #11762732C22semidirect
97. #11762731C22semidirect
98. #11762731C22semidirect
99. #11762731C22semidirect
100. #11762719C22semidirect
101. #11762719C22semidirect
102. #11762719C22semidirect
103. #11762718C22semidirect
104. #11762718C22semidirect
105. #11762718C22semidirect
106. #11762718C22semidirect
107. #11762718C22semidirect
108. #11762718C22semidirect
109. #11762718C22semidirect
110. #11762718C22semidirect
111. #11762718C22semidirect
112. #11762717C22semidirect
113. #11762717C22semidirect
114. #11762717C22semidirect
115. #11762717C22semidirect
116. #11762717C22semidirect
117. #11762717C22semidirect
118. #11762717C22semidirect
119. #11762717C22semidirect
120. #11762717C22semidirect
121. #11762712C22semidirect
122. #11762711C22semidirect
123. #11762710C22semidirect
124. #11762709C22semidirect
125. #11762709C22semidirect
126. #11762709C22semidirect
127. #11762709C22semidirect
128. #11762703C22semidirect
129. #11762703C22semidirect
130. #11762702C22semidirect
131. #11762702C22semidirect
132. #11762701C22semidirect
133. #11762701C22semidirect
134. #11762700C22semidirect
135. #11762700C22semidirect
136. #11762699C22semidirect
137. #11762699C22semidirect
138. #11762698C22semidirect
139. #11762698C22semidirect
140. #11762697C22semidirect
141. #11762697C22semidirect
142. #11762696C22semidirect
143. #11762695C22semidirect
144. #11762694C22semidirect
145. #11762693C22semidirect
146. #11762692C22semidirect
147. #11762691C22semidirect
148. #11762690C22semidirect
149. #11762689C22semidirect
150. #11762689C22semidirect
151. #11762688C22semidirect
152. #11762688C22semidirect
153. #11762687C22semidirect
154. #11762687C22semidirect
155. #11762687C22semidirect
156. #11762687C22semidirect
157. #11762686C22semidirect
158. #11762686C22semidirect
159. #11762685C22semidirect
160. #11762685C22semidirect
161. #11762685C22semidirect
162. #11762685C22semidirect
163. #11762684C22semidirect
164. #11762683C22semidirect
165. #11762683C22semidirect
166. #11762682C22semidirect
167. #11762681C22semidirect
168. #11762680C22semidirect
169. #11762680C22semidirect
176. C2×C17×#123C22semidirect
177. C2×C17×#121C22semidirect
178. C2×C4×D4×C17C22semidirect
179. C2×C4×D4×C17C22semidirect
180. C17×#396C22semidirect
181. C17×#392C22semidirect
182. C17×#392C22semidirect
183. C17×#392C22semidirect
184. C17×#390C22semidirect
185. C17×#388C22semidirect
186. C17×#388C22semidirect
187. C17×#387C22semidirect
188. C17×#386C22semidirect
189. C17×#386C22semidirect
190. C17×#385C22semidirect
374. C4⋊C4×D17D4semidirect
396. C22⋊C4×D17D4semidirect
638. C4⋊C4×C17C2×D4semidirect
651. C22⋊C4×C17C2×D4semidirect
666. C22⋊Dic17C2×D4semidirect
691. #63227C2×D4semidirect
692. #63227C2×D4semidirect
697. C4⋊Dic17C2×D4semidirect
706. #63225C2×D4semidirect
707. #63225C2×D4semidirect
939. #2456D17direct (N × H)
1064. C2×#123C2×D17semidirect
1073. C2×#121C2×D17semidirect
1090. C2×C4×D4C2×D17semidirect
1091. C2×C4×D4C2×D17semidirect
1119. #396C2×D17semidirect
1141. #392C2×D17semidirect
1142. #392C2×D17semidirect
1143. #392C2×D17semidirect
1151. #390C2×D17semidirect
1166. #388C2×D17semidirect
1167. #388C2×D17semidirect
1175. #387C2×D17semidirect
1190. #386C2×D17semidirect
1191. #386C2×D17semidirect
1199. #385C2×D17semidirect
1221. D17#2456direct (N × H)
1456. C17C2×#2456semidirect
1685. C4⋊C4D4×D17semidirect
1737. C22⋊C4D4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D172
C2×#121×D172
C2×C4×D4×D172
#145326832
#145326822
#145326812
#145326802
#145326792
#145326782
#145326772
#145326762
#145326752
#145326742
#145326732
#145326722
#145326712
#145326702
#145326692
D17×#3962
D17×#3922
D17×#3902
D17×#3882
D17×#3872
D17×#3862
D17×#3852
C17×#24562
C2×#245617