Finite Group Databasebeta

← C17×#61510 #16919254

Subgroups — C17×#61510 #16919254

Order 4352.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3521C211yesmaximal, characteristic, complemented
2C17×#3520C211yesmaximal, characteristic, complemented
3C17×#3402C211yesmaximal, characteristic, complemented
4C17×#3384C211yesmaximal, characteristic, complemented
5C17×#3376C211yesmaximal, characteristic, complemented
6C17×#3367C211yesmaximal, characteristic, complemented
7C17×#3356C211yesmaximal, characteristic, complemented
8C17×#3346C211yesmaximal, characteristic, complemented
9C17×#3343C211yesmaximal, characteristic, complemented
10C17×#3331C211yesmaximal, characteristic, complemented
11C17×#3322C211yesmaximal, characteristic, complemented
12C17×#3315C211yesmaximal, characteristic, complemented
13C17×#3314C211yesmaximal, characteristic, complemented
14C17×#3311C211yesmaximal, characteristic, complemented
15C17×#3306C211yesmaximal, characteristic, complemented
16C17×#3273C211yesmaximal, characteristic, complemented
17C17×#3267C211yesmaximal, characteristic, complemented
18C17×#3267C211yesmaximal, characteristic, complemented
19C17×#3178C211yesmaximal, characteristic, complemented
20C17×#3173C211yesmaximal, characteristic, complemented
21C17×#3172C211yesmaximal, characteristic, complemented
22C17×#3125C211yesmaximal, characteristic, complemented
23C17×#3124C211yesmaximal, characteristic, complemented
24C17×#3120C211yesmaximal, characteristic, complemented
25C17×#3118C211yesmaximal, characteristic, complemented
26C17×#3116C211yesmaximal, characteristic, complemented
27C17×#3114C211yesmaximal, characteristic, complemented
28C17×#2967C211yesmaximal, characteristic, complemented
29C17×#2951C211yesmaximal, characteristic, complemented
30C17×#2946C211yesmaximal, characteristic, complemented
31C4×C17×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
32C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C17×#135C2211yescharacteristic
35C17×#556C2211yescharacteristic
36C17×#556C2211yescharacteristic, complemented
37C17×#556C2211yescharacteristic, complemented
38C17×#554C2211yescharacteristic
39C17×#554C2211yescharacteristic, complemented
40C17×#554C2211yescharacteristic, complemented
41C17×#553—21no—
42C17×#553C2211yescharacteristic
43C17×#552—21no—
44C17×#552—21no—
45C17×#552C2211yescharacteristic, complemented
46C17×#551—21no—
47C17×#551—21no—
48C17×#551—21no—
49C17×#551—21no—
50D4×Q8×C17C2211yescharacteristic, complemented
51C17×#548—21no—
52C17×#547C2211yescharacteristic
53C17×#547C2211yescharacteristic
54C17×#547C2211yescharacteristic
55C17×#546C2211yescharacteristic
56C17×#546C2211yescharacteristic
57C17×#546C2211yescharacteristic, complemented
58C17×#546C2211yescharacteristic, complemented
59C17×#542C2211yescharacteristic
60C17×#542C2211yescharacteristic, complemented
61C17×#542C2211yescharacteristic, complemented
62C17×#541C2211yescharacteristic, complemented
63C17×#539—21no—
64C17×#539—21no—
65C17×#539—21no—
66C17×#538—21no—
67C17×#533C2211yescharacteristic, complemented
68C17×#529—21no—
69C17×#529C2211yescharacteristic
70C17×#529C2211yescharacteristic
71C2×C17×#126—21no—
72C17×#525—21no—
73C2×C17×C22⋊Q8—21no—
74C17×#520C2211yescharacteristic
75C17×#520C2211yescharacteristic, complemented
76C17×#520C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic, complemented
78C4×#41×C17C2211yescharacteristic
79C2×C4×D4×C17C2211yescharacteristic, complemented
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#498C2211yescharacteristic, complemented
83C17×#497C2211yescharacteristic, complemented
84C17×#497C2211yescharacteristic, complemented
85C17×#495C2211yescharacteristic
86C17×#491C2211yescharacteristic, complemented
87C17×#489C2211yescharacteristic, complemented
88C17×#489C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#487C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#484C2211yescharacteristic, complemented
96C17×#484C2211yescharacteristic, complemented
97C17×#483C2211yescharacteristic, complemented
98C17×#483C2211yescharacteristic, complemented
99C17×#483C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic
101C17×#481C2211yescharacteristic, complemented
102C17×#480C2211yescharacteristic
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#478C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic, complemented
108C17×#477C2211yescharacteristic, complemented
109C17×#477C2211yescharacteristic, complemented
110C17×#476C2211yescharacteristic, complemented
111C17×#476C2211yescharacteristic, complemented
112C17×#476C2211yescharacteristic, complemented
113C17×#475C2211yescharacteristic, complemented
114C17×#474C2211yescharacteristic, complemented
115C17×#474C2211yescharacteristic, complemented
116C17×#470C2211yescharacteristic, complemented
117C17×#470C2211yescharacteristic, complemented
118C17×#470C2211yescharacteristic, complemented
119C17×#470C2211yescharacteristic, complemented
120C17×#469C2211yescharacteristic
121C17×#468C2211yescharacteristic
122C17×#468C2211yescharacteristic
123C17×#468C2211yescharacteristic
124C17×#467C2211yescharacteristic, complemented
125C17×#465C2211yescharacteristic
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#464C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic
131C17×#463C2211yescharacteristic
132C17×#463C2211yescharacteristic
133C17×#463C2211yescharacteristic
134C17×#463C2211yescharacteristic
135C17×#463C2211yescharacteristic
136C17×#462C2211yescharacteristic, complemented
137C17×#462C2211yescharacteristic, complemented
138C17×#461C2211yescharacteristic, complemented
139C17×#461C2211yescharacteristic, complemented
140C17×#452C2211yescharacteristic
141C17×#452C2211yescharacteristic
142C17×#452C2211yescharacteristic
143C17×#452C2211yescharacteristic
144C17×#452C2211yescharacteristic, complemented
145C17×#452C2211yescharacteristic, complemented
146C17×#450C2211yescharacteristic, complemented
147C17×#450C2211yescharacteristic, complemented
148C17×#449C2211yescharacteristic
149C17×#449C2211yescharacteristic
150C17×#447C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#442C2211yescharacteristic
158C17×#442C2211yescharacteristic
159C17×#441C2211yescharacteristic, complemented
160C17×#441C2211yescharacteristic, complemented
161C17×#440C2211yescharacteristic, complemented
162C17×#440C2211yescharacteristic, complemented
163C17×#440C2211yescharacteristic, complemented
164C17×#440C2211yescharacteristic, complemented
165C17×#440C2211yescharacteristic, complemented
166C17×#440C2211yescharacteristic, complemented
167C17×#440C2211yescharacteristic, complemented
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, complemented
170C4×Q16×C17C2211yescharacteristic, complemented
171C4×Q16×C17C2211yescharacteristic, complemented
172C4×Q16×C17C2211yescharacteristic, complemented
173C4×SD16×C17C2211yescharacteristic, complemented
174C4×SD16×C17C2211yescharacteristic, complemented
175C4×SD16×C17C2211yescharacteristic, complemented
176C4×SD16×C17C2211yescharacteristic, complemented
177C4×SD16×C17C2211yescharacteristic, complemented
178C4×D8×C17C2211yescharacteristic
179C4×D8×C17C2211yescharacteristic
180C4×D8×C17C2211yescharacteristic
181C4×D8×C17C2211yescharacteristic
182C17×#436C2211yescharacteristic
183C17×#436C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic
185C17×#435C2211yescharacteristic, complemented
186C17×#435C2211yescharacteristic, complemented
187C17×#435C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#432C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C17×#428C2211yescharacteristic, complemented
193C2×C17×#107C2211yescharacteristic, complemented
194C17×#418C2211yescharacteristic, complemented
195C17×#417C2211yescharacteristic
196C17×#417C2211yescharacteristic, complemented
197C17×#417C2211yescharacteristic, complemented
198C17×#416C2211yescharacteristic
199C2×C17×#102C2211yescharacteristic, complemented
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C4×M16×C17C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17C2311yescharacteristic
205C2×#41×C17C2311yescharacteristic
206C2×#41×C17C2311yescharacteristic
207C2×#41×C17C2311yescharacteristic
208C22×Q8×C17—21no—
209C22×D4×C17C2311yescharacteristic
210C22×D4×C17C2311yescharacteristic
211C23×C4×C17—21no—
212C17×AGL(1,ℤ/8)—24no—
213C17×AGL(1,ℤ/8)—24no—
214C17×#135—24no—
215C2×Q16×C17C2311yescharacteristic
216C2×Q16×C17C2311yescharacteristic
217C2×Q16×C17C2311yescharacteristic
218C2×Q16×C17C2311yescharacteristic
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×SD16×C17C2311yescharacteristic
226C2×SD16×C17C2311yescharacteristic
227C2×D8×C17C2311yescharacteristic
228C2×D8×C17C2311yescharacteristic
229C2×D8×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×M16×C17C2311yescharacteristic
232C2×M16×C17C2311yescharacteristic
233C2×M16×C17C2311yescharacteristic
234C2×M16×C17C2311yescharacteristic
235C22×C8×C17C2311yescharacteristic
236C22×C8×C17C2311yescharacteristic
237C17×C4⋊Q8C2311yescharacteristic
238C17×C4⋊Q8C2311yescharacteristic
239C17×C4⋊Q8C2311yescharacteristic
240C17×C4⋊Q8C2311yescharacteristic
241C17×C4⋊Q8C2311yescharacteristic
242C17×C4⋊Q8C2311yescharacteristic
243C17×#126—21no—
244C17×#126—21no—
245C17×#126—21no—
246C17×#126—21no—
247C17×#126—21no—
248C17×#126—21no—
249C17×#126—21no—
250C17×#126—21no—
251C17×#126—21no—
252C17×#126—21no—
253C17×#126—21no—
254C17×#126—21no—
255C17×#126—21no—
256C17×#126—21no—
257C17×#126D411yescharacteristic
258C17×#126D411yescharacteristic
259C17×#125—21no—
260C17×#125—21no—
261C17×#125—21no—
262C17×#125—21no—
263C17×#125—21no—
264C17×#125—21no—
265C17×#125D411yescharacteristic
266C17×#125C2311yescharacteristic
267C17×#125C2311yescharacteristic
268C17×#124—21no—
269C17×#124—21no—
270C17×#124—21no—
271C17×#124—21no—
272C17×#124D411yescharacteristic
273C17×#124C2311yescharacteristic
274C17×#124C2311yescharacteristic
275C17×#124C2311yescharacteristic
276C17×#124C2311yescharacteristic
277C17×#123—21no—
278C17×#123—21no—
279C17×#123—21no—
280C17×#123—21no—
281C17×#123—21no—
282C17×#123—21no—
283C17×#123—21no—
284C17×#123—21no—
285C17×#123—21no—
286C17×#123—21no—
287C17×#123—21no—
288C17×#123—21no—
289C17×#123—21no—
290C17×#123—21no—
291C17×#123—21no—
292C17×#123—21no—
293C17×#123D411yescharacteristic
294C17×#123D411yescharacteristic
295C17×C22⋊Q8—21no—
296C17×C22⋊Q8—21no—
297C17×C22⋊Q8—21no—
298C17×C22⋊Q8—21no—
299C17×C22⋊Q8—21no—
300C17×C22⋊Q8—21no—
301C17×C22⋊Q8—21no—
302C17×C22⋊Q8—21no—
303C17×C22⋊Q8—21no—
304C17×C22⋊Q8—21no—
305C17×C22⋊Q8—21no—
306C17×C22⋊Q8—21no—
307C17×C22⋊Q8—21no—
308C17×C22⋊Q8—21no—
309C17×C22⋊Q8—21no—
310C17×C22⋊Q8—21no—
311C17×C22⋊Q8—21no—
312C17×C22⋊Q8D411yescharacteristic
313C17×C22⋊Q8C2311yescharacteristic
314C17×C22⋊Q8C2311yescharacteristic
315C17×C22⋊Q8C2311yescharacteristic
316C17×C22⋊Q8C2311yescharacteristic
317C17×C22⋊Q8C2311yescharacteristic
318C17×C22⋊Q8C2311yescharacteristic
319C17×C22⋊Q8C2311yescharacteristic
320C17×C22⋊Q8C2311yescharacteristic
321C17×#121—21no—
322C17×#121—21no—
323C17×#121—21no—
324C17×#121—21no—
325C17×#121—21no—
326C17×#121—21no—
327C17×#121—21no—
328C17×#121D411yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#121C2311yescharacteristic
332C17×#121C2311yescharacteristic
333C17×#120—21no—
334C17×#120—21no—
335C17×#120—21no—
336C17×#120—21no—
337C4×Q8×C17—21no—
338C4×Q8×C17—21no—
339C4×Q8×C17C2311yescharacteristic
340C4×Q8×C17C2311yescharacteristic
341C4×Q8×C17C2311yescharacteristic
342C4×Q8×C17C2311yescharacteristic
343C4×Q8×C17C2311yescharacteristic
344C4×Q8×C17C2311yescharacteristic
345C4×Q8×C17C2311yescharacteristic
346C4×Q8×C17C2311yescharacteristic
347C4×Q8×C17C2311yescharacteristic
348C4×D4×C17—21no—
349C4×D4×C17—21no—
350C4×D4×C17—21no—
351C4×D4×C17—21no—
352C4×D4×C17—21no—
353C4×D4×C17—21no—
354C4×D4×C17—21no—
355C4×D4×C17—21no—
356C4×D4×C17—21no—
357C4×D4×C17—21no—
358C4×D4×C17—21no—
359C4×D4×C17—21no—
360C4×D4×C17—21no—
361C4×D4×C17—21no—
362C4×D4×C17—21no—
363C4×D4×C17—21no—
364C4×D4×C17C2311yescharacteristic
365C4×D4×C17C2311yescharacteristic
366C4×D4×C17C2311yescharacteristic
367C4×D4×C17C2311yescharacteristic
368C4×D4×C17C2311yescharacteristic
369C4×D4×C17C2311yescharacteristic
370C4×D4×C17C2311yescharacteristic
371C4×D4×C17C2311yescharacteristic
372C4×D4×C17C2311yescharacteristic
373C4×D4×C17C2311yescharacteristic
374C4×D4×C17C2311yescharacteristic
375C4×D4×C17C2311yescharacteristic
376C4×D4×C17C2311yescharacteristic
377C4×D4×C17C2311yescharacteristic
378C4×D4×C17C2311yescharacteristic
379C17×#117—21no—
380C17×#117—21no—
381C17×#117—21no—
382C17×#117—21no—
383C17×#117—21no—
384C17×#117—21no—
385C17×#117—21no—
386C17×#117—21no—
387C17×#117—21no—
388C17×#117C2311yescharacteristic
389C17×#117C2311yescharacteristic
390C17×#117C2311yescharacteristic
391C17×#117C2311yescharacteristic
392C2×C4⋊C4×C17—21no—
393C2×C4⋊C4×C17—21no—
394C2×C4⋊C4×C17—21no—
395C2×C4⋊C4×C17—21no—
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17—21no—
398C2×C4⋊C4×C17C2311yescharacteristic
399C2×C4⋊C4×C17C2311yescharacteristic
400C2×C4⋊C4×C17C2311yescharacteristic
401C2×C4⋊C4×C17C2311yescharacteristic
402C2×C22⋊C4×C17—21no—
403C2×C22⋊C4×C17—21no—
404C2×C22⋊C4×C17—21no—
405C2×C22⋊C4×C17—21no—
406C2×C22⋊C4×C17—21no—
407C2×C22⋊C4×C17—21no—
408C2×C22⋊C4×C17—21no—
409C2×C42×C17—21no—
410C2×C42×C17C2311yescharacteristic
411C17×#107C2311yescharacteristic
412C17×#107C2311yescharacteristic
413C17×#107C2311yescharacteristic
414C17×#107C2311yescharacteristic
415C17×#107C2311yescharacteristic
416C17×#107C2311yescharacteristic
417C17×#107C2311yescharacteristic
418C17×#107C2311yescharacteristic
419C17×#106C2311yescharacteristic
420C17×#106C2311yescharacteristic
421C17×#106C2311yescharacteristic
422C17×#106C2311yescharacteristic
423C17×#106C2311yescharacteristic
424C17×#106C2311yescharacteristic
425C17×#106C2311yescharacteristic
426C17×#106C2311yescharacteristic
427C17×C4⋊C8C2311yescharacteristic
428C17×C4⋊C8C2311yescharacteristic
429C17×C4⋊C8C2311yescharacteristic
430C17×C4⋊C8C2311yescharacteristic
431C17×C4⋊C8C2311yescharacteristic
432C17×C4⋊C8C2311yescharacteristic
433C17×#103C2311yescharacteristic
434C17×#103C2311yescharacteristic
435C17×#103C2311yescharacteristic
436C17×#103C2311yescharacteristic
437C17×#103C2311yescharacteristic
438C17×#103C2311yescharacteristic
439C17×#103C2311yescharacteristic
440C17×#103C2311yescharacteristic
441C17×#103C2311yescharacteristic
442C17×#103C2311yescharacteristic
443C17×#103C2311yescharacteristic
444C17×#103C2311yescharacteristic
445C17×#103C2311yescharacteristic
446C17×#103C2311yescharacteristic
447C17×#103C2311yescharacteristic
448C17×#103C2311yescharacteristic
449C17×#102C2311yescharacteristic
450C17×#102C2311yescharacteristic
451C17×#102C2311yescharacteristic
452C17×#102C2311yescharacteristic
453C17×#102C2311yescharacteristic
454C17×#102C2311yescharacteristic
455C17×#102C2311yescharacteristic
456C17×#102C2311yescharacteristic
457C17×#102C2311yescharacteristic
458C17×#102C2311yescharacteristic
459C17×#102C2311yescharacteristic
460C17×#102C2311yescharacteristic
461C17×#102C2311yescharacteristic
462C17×#102C2311yescharacteristic
463C17×#102C2311yescharacteristic
464C17×#102C2311yescharacteristic
465C17×C22⋊C8C2311yescharacteristic
466C17×C22⋊C8C2311yescharacteristic
467C17×C22⋊C8C2311yescharacteristic
468C17×C22⋊C8C2311yescharacteristic
469C17×C22⋊C8C2311yescharacteristic
470C17×C22⋊C8C2311yescharacteristic
471C17×#97C2311yescharacteristic
472C17×#97C2311yescharacteristic
473C17×#97C2311yescharacteristic
474C17×#97C2311yescharacteristic
475C17×#97C2311yescharacteristic
476C17×#97C2311yescharacteristic
477C4×C8×C17C2311yescharacteristic
478C4×C8×C17C2311yescharacteristic
479C4×C8×C17C2311yescharacteristic
480C4×C8×C17C2311yescharacteristic
481C24×C17—21no—
482C24×C17—21no—
483#41×C17—22no—
484#41×C17—22no—
485#41×C17—22no—
486#41×C17—22no—
487#41×C17—41no—
488#41×C17—41no—
489#41×C17—41no—
490#41×C17—41no—
491#41×C17—82no—
492C2×Q8×C17—21no—
493C2×Q8×C17—21no—
494C2×Q8×C17—21no—
495C2×Q8×C17—21no—
496C2×Q8×C17—82no—
497C2×Q8×C17C2×D411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×Q8×C17C2411yescharacteristic
500C2×Q8×C17C2411yescharacteristic
501C2×Q8×C17C2411yescharacteristic
502C2×D4×C17—22no—
503C2×D4×C17—22no—
504C2×D4×C17—21no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—21no—
508C2×D4×C17—21no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—21no—
514C2×D4×C17—41no—
515C2×D4×C17—41no—
516C2×D4×C17C2×D411yescharacteristic
517C2×D4×C17C2×D411yescharacteristic
518C2×D4×C17C2×D411yescharacteristic
519C2×D4×C17C2411yescharacteristic
520C2×D4×C17C2411yescharacteristic
521C2×D4×C17C2411yescharacteristic
522C2×D4×C17C2411yescharacteristic
523C22×C4×C17—21no—
524C22×C4×C17—21no—
525C22×C4×C17—21no—
526C22×C4×C17—21no—
527C22×C4×C17—21no—
528C22×C4×C17—21no—
529C22×C4×C17—21no—
530C22×C4×C17—21no—
531C22×C4×C17—21no—
532C22×C4×C17—21no—
533C22×C4×C17—21no—
534C22×C4×C17—21no—
535C22×C4×C17—21no—
536C22×C4×C17—21no—
537C22×C4×C17—21no—
538C22×C4×C17—21no—
539C22×C4×C17—21no—
540C22×C4×C17—21no—
541C22×C4×C17—21no—
542C22×C4×C17—21no—
543C22×C4×C17—82no—
544C22×C4×C17C2×D411yescharacteristic
545C22×C4×C17C2×D411yescharacteristic
546C22×C4×C17C2411yescharacteristic
547C22×C4×C17C2411yescharacteristic
548C22×C4×C17C2411yescharacteristic
549Q16×C17—22no—
550Q16×C17—41no—
551Q16×C17—41no—
552Q16×C17—41no—
553SD16×C17—22no—
554SD16×C17—22no—
555SD16×C17—22no—
556SD16×C17—22no—
557SD16×C17—22no—
558SD16×C17—22no—
559SD16×C17—41no—
560SD16×C17—41no—
561D8×C17—22no—
562D8×C17—22no—
563D8×C17—41no—
564D8×C17#4114yescomplemented
565M16×C17—22no—
566M16×C17—22no—
567M16×C17—41no—
568M16×C17—41no—
569C2×C8×C17—22no—
570C2×C8×C17—41no—
571C2×C8×C17C2411yescharacteristic
572C2×C8×C17C2411yescharacteristic
573C2×C8×C17C2411yescharacteristic
574C2×C8×C17C2411yescharacteristic
575C2×C8×C17C2411yescharacteristic
576C2×C8×C17C2411yescharacteristic
577C2×C8×C17C2411yescharacteristic
578C2×C8×C17C2411yescharacteristic
579C4⋊C4×C17—21no—
580C4⋊C4×C17—21no—
581C4⋊C4×C17—21no—
582C4⋊C4×C17—21no—
583C4⋊C4×C17—21no—
584C4⋊C4×C17—21no—
585C4⋊C4×C17—21no—
586C4⋊C4×C17—21no—
587C4⋊C4×C17—21no—
588C4⋊C4×C17—21no—
589C4⋊C4×C17—21no—
590C4⋊C4×C17—21no—
591C4⋊C4×C17—21no—
592C4⋊C4×C17—21no—
593C4⋊C4×C17—21no—
594C4⋊C4×C17—21no—
595C4⋊C4×C17—21no—
596C4⋊C4×C17—21no—
597C4⋊C4×C17—21no—
598C4⋊C4×C17—21no—
599C4⋊C4×C17—21no—
600C4⋊C4×C17—21no—
601C4⋊C4×C17—21no—
602C4⋊C4×C17—21no—
603C4⋊C4×C17—21no—
604C4⋊C4×C17—21no—
605C4⋊C4×C17—21no—
606C4⋊C4×C17—21no—
607C4⋊C4×C17—21no—
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17C2×D411yescharacteristic
612C4⋊C4×C17C2×D411yescharacteristic
613C4⋊C4×C17C2×D411yescharacteristic
614C4⋊C4×C17C2×D411yescharacteristic
615C4⋊C4×C17C2×D411yescharacteristic
616C4⋊C4×C17C2×D411yescharacteristic
617C4⋊C4×C17C2×D411yescharacteristic
618C4⋊C4×C17C2×D411yescharacteristic
619C4⋊C4×C17C2×D411yescharacteristic
620C4⋊C4×C17C2×D411yescharacteristic
621C4⋊C4×C17C2411yescharacteristic
622C4⋊C4×C17C2411yescharacteristic
623C4⋊C4×C17C2411yescharacteristic
624C4⋊C4×C17C2411yescharacteristic
625C4⋊C4×C17C2411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C4⋊C4×C17C2411yescharacteristic
628C4⋊C4×C17C2411yescharacteristic
629C22⋊C4×C17—21no—
630C22⋊C4×C17—21no—
631C22⋊C4×C17—21no—
632C22⋊C4×C17—21no—
633C22⋊C4×C17—21no—
634C22⋊C4×C17—21no—
635C22⋊C4×C17—21no—
636C22⋊C4×C17—21no—
637C22⋊C4×C17—21no—
638C22⋊C4×C17—21no—
639C22⋊C4×C17—21no—
640C22⋊C4×C17—21no—
641C22⋊C4×C17—21no—
642C22⋊C4×C17—21no—
643C22⋊C4×C17—21no—
644C22⋊C4×C17—21no—
645C22⋊C4×C17—21no—
646C22⋊C4×C17—21no—
647C22⋊C4×C17—21no—
648C22⋊C4×C17—21no—
649C22⋊C4×C17—21no—
650C22⋊C4×C17—21no—
651C22⋊C4×C17—21no—
652C22⋊C4×C17—21no—
653C22⋊C4×C17—21no—
654C22⋊C4×C17—21no—
655C22⋊C4×C17—21no—
656C22⋊C4×C17—21no—
657C22⋊C4×C17—21no—
658C22⋊C4×C17—21no—
659C22⋊C4×C17—21no—
660C22⋊C4×C17—21no—
661C22⋊C4×C17—21no—
662C22⋊C4×C17—21no—
663C22⋊C4×C17C2×D411yescharacteristic
664C22⋊C4×C17C2×D411yescharacteristic
665C22⋊C4×C17C2×D411yescharacteristic
666C22⋊C4×C17C2×D411yescharacteristic
667C22⋊C4×C17C2×D411yescharacteristic
668C22⋊C4×C17C2×D411yescharacteristic
669C22⋊C4×C17C2×D411yescharacteristic
670C22⋊C4×C17C2×D411yescharacteristic
671C22⋊C4×C17C2×D411yescharacteristic
672C22⋊C4×C17C2×D411yescharacteristic
673C42×C17—21no—
674C42×C17—21no—
675C42×C17—21no—
676C42×C17—21no—
677C42×C17—21no—
678C42×C17—21no—
679C42×C17—21no—
680C42×C17—21no—
681C42×C17—21no—
682C42×C17—21no—
683C42×C17C2×D411yescharacteristic
684C42×C17C2×D411yescharacteristic
685C42×C17C2411yescharacteristic
686C42×C17C2411yescharacteristic
687C42×C17C2411yescharacteristic
688C42×C17C2411yescharacteristic
689#61510C1711yesmaximal, characteristic, direct product factor, Sylow
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—42no—
695C23×C17—42no—
696C23×C17—42no—
697C23×C17—81no—
698C23×C17—81no—
699C23×C17—81no—
700C23×C17C22×D411yescharacteristic
701C23×C17C22×D411yescharacteristic
702C23×C17C22×D411yescharacteristic
703Q8×C17—21no—
704Q8×C17—21no—
705Q8×C17—21no—
706Q8×C17—21no—
707Q8×C17—21no—
708Q8×C17—21no—
709Q8×C17—21no—
710Q8×C17—21no—
711Q8×C17—41no—
712Q8×C17—42no—
713Q8×C17—81no—
714Q8×C17—81no—
715Q8×C17—81no—
716D4×C17—21no—
717D4×C17—21no—
718D4×C17—21no—
719D4×C17—21no—
720D4×C17—21no—
721D4×C17—21no—
722D4×C17—41no—
723D4×C17—41no—
724D4×C17—41no—
725D4×C17—42no—
726D4×C17—42no—
727D4×C17—42no—
728D4×C17—42no—
729D4×C17—42no—
730D4×C17—42no—
731D4×C17—81no—
732D4×C17—81no—
733D4×C17—81no—
734D4×C17—81no—
735D4×C17C2×#4112yes—
736D4×C17C2×#4112yes—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—21no—
749C2×C4×C17—21no—
750C2×C4×C17—21no—
751C2×C4×C17—21no—
752C2×C4×C17—21no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—41no—
756C2×C4×C17—41no—
757C2×C4×C17—42no—
758C2×C4×C17—42no—
759C2×C4×C17—42no—
760C2×C4×C17—42no—
761C2×C4×C17—42no—
762C2×C4×C17—42no—
763C2×C4×C17—81no—
764C2×C4×C17—81no—
765C2×C4×C17—81no—
766C2×C4×C17—81no—
767C2×C4×C17—81no—
768C2×C4×C17—81no—
769C2×C4×C17—81no—
770C2×C4×C17—81no—
771C2×C4×C17—81no—
772C2×C4×C17—81no—
773C2×C4×C17—81no—
774C2×C4×C17—81no—
775C2×C4×C17—81no—
776C2×C4×C17—81no—
777C2×C4×C17C22×D411yescharacteristic
778C2×C4×C17C22×D411yescharacteristic
779C2×C4×C17C22×D411yescharacteristic
780C2×C4×C17C22×D411yescharacteristic
781C2×C4×C17C22×D411yescharacteristic
782C2×C4×C17C22×D411yescharacteristic
783C2×C4×C17C22×D411yescharacteristic
784C2×C4×C17C22×D411yescharacteristic
785C2×C4×C17C22×D411yescharacteristic
786C2×C4×C17C22×D411yescharacteristic
787C2×C4×C17C22×D411yescharacteristic
788C2×C4×C17C2511yescharacteristic
789C8×C17—21no—
790C8×C17—21no—
791C8×C17—21no—
792C8×C17—21no—
793C8×C17—21no—
794C8×C17—21no—
795C8×C17—21no—
796C8×C17C2×#4112yes—
797#3521C2×C1711yescharacteristic, complemented
798#3520C2×C1711yescharacteristic, complemented
799#3402C2×C1711yescharacteristic, complemented
800#3384C2×C1711yescharacteristic, complemented
801#3376C2×C1711yescharacteristic, complemented
802#3367C2×C1711yescharacteristic, complemented
803#3356C2×C1711yescharacteristic, complemented
804#3346C2×C1711yescharacteristic, complemented
805#3343C2×C1711yescharacteristic, complemented
806#3331C2×C1711yescharacteristic, complemented
807#3322C2×C1711yescharacteristic, complemented
808#3315C2×C1711yescharacteristic, complemented
809#3314C2×C1711yescharacteristic, complemented
810#3311C2×C1711yescharacteristic, complemented
811#3306C2×C1711yescharacteristic, complemented
812#3273C2×C1711yescharacteristic, complemented
813#3267C2×C1711yescharacteristic, complemented
814#3267C2×C1711yescharacteristic, complemented
815#3178C2×C1711yescharacteristic, complemented
816#3173C2×C1711yescharacteristic, complemented
817#3172C2×C1711yescharacteristic, complemented
818#3125C2×C1711yescharacteristic, complemented
819#3124C2×C1711yescharacteristic, complemented
820#3120C2×C1711yescharacteristic, complemented
821#3118C2×C1711yescharacteristic, complemented
822#3116C2×C1711yescharacteristic, complemented
823#3114C2×C1711yescharacteristic, complemented
824#2967C2×C1711yescharacteristic, complemented
825#2951C2×C1711yescharacteristic, complemented
826#2946C2×C1711yescharacteristic, complemented
827C4×AGL(1,ℤ/8)C2×C1711yescharacteristic, complemented
828C22×C17—21no—
829C22×C17—21no—
830C22×C17—21no—
831C22×C17—21no—
832C22×C17—21no—
833C22×C17—21no—
834C22×C17—21no—
835C22×C17—21no—
836C22×C17—21no—
837C22×C17—22no—
838C22×C17—22no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—84no—
850C22×C17—162no—
851C22×C17C23×D411yescharacteristic
852C4×C17—21no—
853C4×C17—21no—
854C4×C17—21no—
855C4×C17—21no—
856C4×C17—21no—
857C4×C17—21no—
858C4×C17—21no—
859C4×C17—21no—
860C4×C17—21no—
861C4×C17—21no—
862C4×C17—21no—
863C4×C17—41no—
864C4×C17—41no—
865C4×C17—41no—
866C4×C17—41no—
867C4×C17—41no—
868C4×C17—41no—
869C4×C17—41no—
870C4×C17—41no—
871C4×C17—41no—
872C4×C17—41no—
873C4×C17—41no—
874C4×C17—41no—
875C4×C17C22×#4111yescharacteristic
876C4×C17#58511yescharacteristic
877C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
878C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
879C2×#135C22×C1711yescharacteristic
880#556C22×C1711yescharacteristic
881#556C22×C1711yescharacteristic, complemented
882#556C22×C1711yescharacteristic, complemented
883#554C22×C1711yescharacteristic
884#554C22×C1711yescharacteristic, complemented
885#554C22×C1711yescharacteristic, complemented
886#553—21no—
887#553C22×C1711yescharacteristic
888#552—21no—
889#552—21no—
890#552C22×C1711yescharacteristic, complemented
891#551—21no—
892#551—21no—
893#551—21no—
894#551—21no—
895D4×Q8C22×C1711yescharacteristic, complemented
896#548—21no—
897#547C22×C1711yescharacteristic
898#547C22×C1711yescharacteristic
899#547C22×C1711yescharacteristic
900#546C22×C1711yescharacteristic
901#546C22×C1711yescharacteristic
902#546C22×C1711yescharacteristic, complemented
903#546C22×C1711yescharacteristic, complemented
904#542C22×C1711yescharacteristic
905#542C22×C1711yescharacteristic, complemented
906#542C22×C1711yescharacteristic, complemented
907#541C22×C1711yescharacteristic, complemented
908#539—21no—
909#539—21no—
910#539—21no—
911#538—21no—
912#533C22×C1711yescharacteristic, complemented
913#529—21no—
914#529C22×C1711yescharacteristic
915#529C22×C1711yescharacteristic
916C2×#126—21no—
917#525—21no—
918C2×C22⋊Q8—21no—
919#520C22×C1711yescharacteristic
920#520C22×C1711yescharacteristic, complemented
921#520C22×C1711yescharacteristic, complemented
922#518C22×C1711yescharacteristic, complemented
923C4×#41C22×C1711yescharacteristic
924C2×C4×D4C22×C1711yescharacteristic, complemented
925#501C22×C1711yescharacteristic, complemented
926#501C22×C1711yescharacteristic, complemented
927#498C22×C1711yescharacteristic, complemented
928#497C22×C1711yescharacteristic, complemented
929#497C22×C1711yescharacteristic, complemented
930#495C22×C1711yescharacteristic
931#491C22×C1711yescharacteristic, complemented
932#489C22×C1711yescharacteristic, complemented
933#489C22×C1711yescharacteristic, complemented
934#489C22×C1711yescharacteristic, complemented
935#488C22×C1711yescharacteristic, complemented
936#487C22×C1711yescharacteristic, complemented
937#485C22×C1711yescharacteristic, complemented
938#485C22×C1711yescharacteristic, complemented
939#485C22×C1711yescharacteristic, complemented
940#484C22×C1711yescharacteristic, complemented
941#484C22×C1711yescharacteristic, complemented
942#483C22×C1711yescharacteristic, complemented
943#483C22×C1711yescharacteristic, complemented
944#483C22×C1711yescharacteristic, complemented
945#482C22×C1711yescharacteristic
946#481C22×C1711yescharacteristic, complemented
947#480C22×C1711yescharacteristic
948#480C22×C1711yescharacteristic, complemented
949#479C22×C1711yescharacteristic, complemented
950#478C22×C1711yescharacteristic, complemented
951#478C22×C1711yescharacteristic, complemented
952#478C22×C1711yescharacteristic, complemented
953#477C22×C1711yescharacteristic, complemented
954#477C22×C1711yescharacteristic, complemented
955#476C22×C1711yescharacteristic, complemented
956#476C22×C1711yescharacteristic, complemented
957#476C22×C1711yescharacteristic, complemented
958#475C22×C1711yescharacteristic, complemented
959#474C22×C1711yescharacteristic, complemented
960#474C22×C1711yescharacteristic, complemented
961#470C22×C1711yescharacteristic, complemented
962#470C22×C1711yescharacteristic, complemented
963#470C22×C1711yescharacteristic, complemented
964#470C22×C1711yescharacteristic, complemented
965#469C22×C1711yescharacteristic
966#468C22×C1711yescharacteristic
967#468C22×C1711yescharacteristic
968#468C22×C1711yescharacteristic
969#467C22×C1711yescharacteristic, complemented
970#465C22×C1711yescharacteristic
971#465C22×C1711yescharacteristic, complemented
972#465C22×C1711yescharacteristic, complemented
973#464C22×C1711yescharacteristic, complemented
974#464C22×C1711yescharacteristic, complemented
975#463C22×C1711yescharacteristic
976#463C22×C1711yescharacteristic
977#463C22×C1711yescharacteristic
978#463C22×C1711yescharacteristic
979#463C22×C1711yescharacteristic
980#463C22×C1711yescharacteristic
981#462C22×C1711yescharacteristic, complemented
982#462C22×C1711yescharacteristic, complemented
983#461C22×C1711yescharacteristic, complemented
984#461C22×C1711yescharacteristic, complemented
985#452C22×C1711yescharacteristic
986#452C22×C1711yescharacteristic
987#452C22×C1711yescharacteristic
988#452C22×C1711yescharacteristic
989#452C22×C1711yescharacteristic, complemented
990#452C22×C1711yescharacteristic, complemented
991#450C22×C1711yescharacteristic, complemented
992#450C22×C1711yescharacteristic, complemented
993#449C22×C1711yescharacteristic
994#449C22×C1711yescharacteristic
995#447C22×C1711yescharacteristic
996#447C22×C1711yescharacteristic
997#446C22×C1711yescharacteristic, complemented
998#446C22×C1711yescharacteristic, complemented
999#442C22×C1711yescharacteristic
1000#442C22×C1711yescharacteristic
1001#442C22×C1711yescharacteristic
1002#442C22×C1711yescharacteristic
1003#442C22×C1711yescharacteristic
1004#441C22×C1711yescharacteristic, complemented
1005#441C22×C1711yescharacteristic, complemented
1006#440C22×C1711yescharacteristic, complemented
1007#440C22×C1711yescharacteristic, complemented
1008#440C22×C1711yescharacteristic, complemented
1009#440C22×C1711yescharacteristic, complemented
1010#440C22×C1711yescharacteristic, complemented
1011#440C22×C1711yescharacteristic, complemented
1012#440C22×C1711yescharacteristic, complemented
1013#440C22×C1711yescharacteristic, complemented
1014#440C22×C1711yescharacteristic, complemented
1015C4×Q16C22×C1711yescharacteristic, complemented
1016C4×Q16C22×C1711yescharacteristic, complemented
1017C4×Q16C22×C1711yescharacteristic, complemented
1018C4×SD16C22×C1711yescharacteristic, complemented
1019C4×SD16C22×C1711yescharacteristic, complemented
1020C4×SD16C22×C1711yescharacteristic, complemented
1021C4×SD16C22×C1711yescharacteristic, complemented
1022C4×SD16C22×C1711yescharacteristic, complemented
1023C4×D8C22×C1711yescharacteristic
1024C4×D8C22×C1711yescharacteristic
1025C4×D8C22×C1711yescharacteristic
1026C4×D8C22×C1711yescharacteristic
1027#436C22×C1711yescharacteristic
1028#436C22×C1711yescharacteristic, complemented
1029#435C22×C1711yescharacteristic
1030#435C22×C1711yescharacteristic, complemented
1031#435C22×C1711yescharacteristic, complemented
1032#435C22×C1711yescharacteristic, complemented
1033#433C22×C1711yescharacteristic, complemented
1034#433C22×C1711yescharacteristic, complemented
1035#432C22×C1711yescharacteristic, complemented
1036#428C22×C1711yescharacteristic, complemented
1037#428C22×C1711yescharacteristic, complemented
1038C2×#107C22×C1711yescharacteristic, complemented
1039#418C22×C1711yescharacteristic, complemented
1040#417C22×C1711yescharacteristic
1041#417C22×C1711yescharacteristic, complemented
1042#417C22×C1711yescharacteristic, complemented
1043#416C22×C1711yescharacteristic
1044C2×#102C22×C1711yescharacteristic, complemented
1045#405C22×C1711yescharacteristic, complemented
1046#405C22×C1711yescharacteristic, complemented
1047C4×M16C22×C1711yescharacteristic, complemented
1048C2×C17—41no—
1049C2×C17—41no—
1050C2×C17—41no—
1051C2×C17—42no—
1052C2×C17—42no—
1053C2×C17—81no—
1054C2×C17—81no—
1055C2×C17D4×#4111yescharacteristic
1056C2×C17#358511yescharacteristic
1057C2×C17#358611yescharacteristic
1058C2×#41—21no—
1059C2×#41C23×C1711yescharacteristic
1060C2×#41C23×C1711yescharacteristic
1061C2×#41C23×C1711yescharacteristic
1062C2×#41C23×C1711yescharacteristic
1063C22×Q8—21no—
1064C22×D4C23×C1711yescharacteristic
1065C22×D4C23×C1711yescharacteristic
1066C23×C4—21no—
1067AGL(1,ℤ/8)—24no—
1068AGL(1,ℤ/8)—24no—
1069#135—24no—
1070C2×Q16C23×C1711yescharacteristic
1071C2×Q16C23×C1711yescharacteristic
1072C2×Q16C23×C1711yescharacteristic
1073C2×Q16C23×C1711yescharacteristic
1074C2×SD16C23×C1711yescharacteristic
1075C2×SD16C23×C1711yescharacteristic
1076C2×SD16C23×C1711yescharacteristic
1077C2×SD16C23×C1711yescharacteristic
1078C2×SD16C23×C1711yescharacteristic
1079C2×SD16C23×C1711yescharacteristic
1080C2×SD16C23×C1711yescharacteristic
1081C2×SD16C23×C1711yescharacteristic
1082C2×D8C23×C1711yescharacteristic
1083C2×D8C23×C1711yescharacteristic
1084C2×D8C23×C1711yescharacteristic
1085C2×D8C23×C1711yescharacteristic
1086C2×M16C23×C1711yescharacteristic
1087C2×M16C23×C1711yescharacteristic
1088C2×M16C23×C1711yescharacteristic
1089C2×M16C23×C1711yescharacteristic
1090C22×C8C23×C1711yescharacteristic
1091C22×C8C23×C1711yescharacteristic
1092C4⋊Q8C23×C1711yescharacteristic
1093C4⋊Q8C23×C1711yescharacteristic
1094C4⋊Q8C23×C1711yescharacteristic
1095C4⋊Q8C23×C1711yescharacteristic
1096C4⋊Q8C23×C1711yescharacteristic
1097C4⋊Q8C23×C1711yescharacteristic
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126D4×C1711yescharacteristic
1113#126D4×C1711yescharacteristic
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125D4×C1711yescharacteristic
1121#125C23×C1711yescharacteristic
1122#125C23×C1711yescharacteristic
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124D4×C1711yescharacteristic
1128#124C23×C1711yescharacteristic
1129#124C23×C1711yescharacteristic
1130#124C23×C1711yescharacteristic
1131#124C23×C1711yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123D4×C1711yescharacteristic
1149#123D4×C1711yescharacteristic
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8D4×C1711yescharacteristic
1168C22⋊Q8C23×C1711yescharacteristic
1169C22⋊Q8C23×C1711yescharacteristic
1170C22⋊Q8C23×C1711yescharacteristic
1171C22⋊Q8C23×C1711yescharacteristic
1172C22⋊Q8C23×C1711yescharacteristic
1173C22⋊Q8C23×C1711yescharacteristic
1174C22⋊Q8C23×C1711yescharacteristic
1175C22⋊Q8C23×C1711yescharacteristic
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121D4×C1711yescharacteristic
1184#121C23×C1711yescharacteristic
1185#121C23×C1711yescharacteristic
1186#121C23×C1711yescharacteristic
1187#121C23×C1711yescharacteristic
1188#120—21no—
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8C23×C1711yescharacteristic
1195C4×Q8C23×C1711yescharacteristic
1196C4×Q8C23×C1711yescharacteristic
1197C4×Q8C23×C1711yescharacteristic
1198C4×Q8C23×C1711yescharacteristic
1199C4×Q8C23×C1711yescharacteristic
1200C4×Q8C23×C1711yescharacteristic
1201C4×Q8C23×C1711yescharacteristic
1202C4×Q8C23×C1711yescharacteristic
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4C23×C1711yescharacteristic
1220C4×D4C23×C1711yescharacteristic
1221C4×D4C23×C1711yescharacteristic
1222C4×D4C23×C1711yescharacteristic
1223C4×D4C23×C1711yescharacteristic
1224C4×D4C23×C1711yescharacteristic
1225C4×D4C23×C1711yescharacteristic
1226C4×D4C23×C1711yescharacteristic
1227C4×D4C23×C1711yescharacteristic
1228C4×D4C23×C1711yescharacteristic
1229C4×D4C23×C1711yescharacteristic
1230C4×D4C23×C1711yescharacteristic
1231C4×D4C23×C1711yescharacteristic
1232C4×D4C23×C1711yescharacteristic
1233C4×D4C23×C1711yescharacteristic
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117C23×C1711yescharacteristic
1244#117C23×C1711yescharacteristic
1245#117C23×C1711yescharacteristic
1246#117C23×C1711yescharacteristic
1247C2×C4⋊C4—21no—
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4C23×C1711yescharacteristic
1254C2×C4⋊C4C23×C1711yescharacteristic
1255C2×C4⋊C4C23×C1711yescharacteristic
1256C2×C4⋊C4C23×C1711yescharacteristic
1257C2×C22⋊C4—21no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C42—21no—
1265C2×C42C23×C1711yescharacteristic
1266#107C23×C1711yescharacteristic
1267#107C23×C1711yescharacteristic
1268#107C23×C1711yescharacteristic
1269#107C23×C1711yescharacteristic
1270#107C23×C1711yescharacteristic
1271#107C23×C1711yescharacteristic
1272#107C23×C1711yescharacteristic
1273#107C23×C1711yescharacteristic
1274#106C23×C1711yescharacteristic
1275#106C23×C1711yescharacteristic
1276#106C23×C1711yescharacteristic
1277#106C23×C1711yescharacteristic
1278#106C23×C1711yescharacteristic
1279#106C23×C1711yescharacteristic
1280#106C23×C1711yescharacteristic
1281#106C23×C1711yescharacteristic
1282C4⋊C8C23×C1711yescharacteristic
1283C4⋊C8C23×C1711yescharacteristic
1284C4⋊C8C23×C1711yescharacteristic
1285C4⋊C8C23×C1711yescharacteristic
1286C4⋊C8C23×C1711yescharacteristic
1287C4⋊C8C23×C1711yescharacteristic
1288#103C23×C1711yescharacteristic
1289#103C23×C1711yescharacteristic
1290#103C23×C1711yescharacteristic
1291#103C23×C1711yescharacteristic
1292#103C23×C1711yescharacteristic
1293#103C23×C1711yescharacteristic
1294#103C23×C1711yescharacteristic
1295#103C23×C1711yescharacteristic
1296#103C23×C1711yescharacteristic
1297#103C23×C1711yescharacteristic
1298#103C23×C1711yescharacteristic
1299#103C23×C1711yescharacteristic
1300#103C23×C1711yescharacteristic
1301#103C23×C1711yescharacteristic
1302#103C23×C1711yescharacteristic
1303#103C23×C1711yescharacteristic
1304#102C23×C1711yescharacteristic
1305#102C23×C1711yescharacteristic
1306#102C23×C1711yescharacteristic
1307#102C23×C1711yescharacteristic
1308#102C23×C1711yescharacteristic
1309#102C23×C1711yescharacteristic
1310#102C23×C1711yescharacteristic
1311#102C23×C1711yescharacteristic
1312#102C23×C1711yescharacteristic
1313#102C23×C1711yescharacteristic
1314#102C23×C1711yescharacteristic
1315#102C23×C1711yescharacteristic
1316#102C23×C1711yescharacteristic
1317#102C23×C1711yescharacteristic
1318#102C23×C1711yescharacteristic
1319#102C23×C1711yescharacteristic
1320C22⋊C8C23×C1711yescharacteristic
1321C22⋊C8C23×C1711yescharacteristic
1322C22⋊C8C23×C1711yescharacteristic
1323C22⋊C8C23×C1711yescharacteristic
1324C22⋊C8C23×C1711yescharacteristic
1325C22⋊C8C23×C1711yescharacteristic
1326#97C23×C1711yescharacteristic
1327#97C23×C1711yescharacteristic
1328#97C23×C1711yescharacteristic
1329#97C23×C1711yescharacteristic
1330#97C23×C1711yescharacteristic
1331#97C23×C1711yescharacteristic
1332C4×C8C23×C1711yescharacteristic
1333C4×C8C23×C1711yescharacteristic
1334C4×C8C23×C1711yescharacteristic
1335C4×C8C23×C1711yescharacteristic
1336C17#6151011yescharacteristic, direct product factor, Sylow
1337C24—21no—
1338C24—21no—
1339#41—22no—
1340#41—22no—
1341#41—22no—
1342#41—22no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—41no—
1347#41—82no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8—82no—
1353C2×Q8C2×D4×C1711yescharacteristic
1354C2×Q8C24×C1711yescharacteristic
1355C2×Q8C24×C1711yescharacteristic
1356C2×Q8C24×C1711yescharacteristic
1357C2×Q8C24×C1711yescharacteristic
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4C2×D4×C1711yescharacteristic
1373C2×D4C2×D4×C1711yescharacteristic
1374C2×D4C2×D4×C1711yescharacteristic
1375C2×D4C24×C1711yescharacteristic
1376C2×D4C24×C1711yescharacteristic
1377C2×D4C24×C1711yescharacteristic
1378C2×D4C24×C1711yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—82no—
1400C22×C4C2×D4×C1711yescharacteristic
1401C22×C4C2×D4×C1711yescharacteristic
1402C22×C4C24×C1711yescharacteristic
1403C22×C4C24×C1711yescharacteristic
1404C22×C4C24×C1711yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—41no—
1408Q16—41no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—22no—
1414SD16—22no—
1415SD16—41no—
1416SD16—41no—
1417D8—22no—
1418D8—22no—
1419D8—41no—
1420D8#41×C1714yescomplemented
1421M16—22no—
1422M16—22no—
1423M16—41no—
1424M16—41no—
1425C2×C8—22no—
1426C2×C8—41no—
1427C2×C8C24×C1711yescharacteristic
1428C2×C8C24×C1711yescharacteristic
1429C2×C8C24×C1711yescharacteristic
1430C2×C8C24×C1711yescharacteristic
1431C2×C8C24×C1711yescharacteristic
1432C2×C8C24×C1711yescharacteristic
1433C2×C8C24×C1711yescharacteristic
1434C2×C8C24×C1711yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4C2×D4×C1711yescharacteristic
1468C4⋊C4C2×D4×C1711yescharacteristic
1469C4⋊C4C2×D4×C1711yescharacteristic
1470C4⋊C4C2×D4×C1711yescharacteristic
1471C4⋊C4C2×D4×C1711yescharacteristic
1472C4⋊C4C2×D4×C1711yescharacteristic
1473C4⋊C4C2×D4×C1711yescharacteristic
1474C4⋊C4C2×D4×C1711yescharacteristic
1475C4⋊C4C2×D4×C1711yescharacteristic
1476C4⋊C4C2×D4×C1711yescharacteristic
1477C4⋊C4C24×C1711yescharacteristic
1478C4⋊C4C24×C1711yescharacteristic
1479C4⋊C4C24×C1711yescharacteristic
1480C4⋊C4C24×C1711yescharacteristic
1481C4⋊C4C24×C1711yescharacteristic
1482C4⋊C4C24×C1711yescharacteristic
1483C4⋊C4C24×C1711yescharacteristic
1484C4⋊C4C24×C1711yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4C2×D4×C1711yescharacteristic
1520C22⋊C4C2×D4×C1711yescharacteristic
1521C22⋊C4C2×D4×C1711yescharacteristic
1522C22⋊C4C2×D4×C1711yescharacteristic
1523C22⋊C4C2×D4×C1711yescharacteristic
1524C22⋊C4C2×D4×C1711yescharacteristic
1525C22⋊C4C2×D4×C1711yescharacteristic
1526C22⋊C4C2×D4×C1711yescharacteristic
1527C22⋊C4C2×D4×C1711yescharacteristic
1528C22⋊C4C2×D4×C1711yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42C2×D4×C1711yescharacteristic
1540C42C2×D4×C1711yescharacteristic
1541C42C24×C1711yescharacteristic
1542C42C24×C1711yescharacteristic
1543C42C24×C1711yescharacteristic
1544C42C24×C1711yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—42no—
1550C23—42no—
1551C23—42no—
1552C23—81no—
1553C23—81no—
1554C23—81no—
1555C23C22×D4×C1711yescharacteristic
1556C23C22×D4×C1711yescharacteristic
1557C23C22×D4×C1711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—41no—
1567Q8—42no—
1568Q8—81no—
1569Q8—81no—
1570Q8—81no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4C2×#41×C1712yes—
1591D4C2×#41×C1712yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4C22×D4×C1711yescharacteristic
1633C2×C4C22×D4×C1711yescharacteristic
1634C2×C4C22×D4×C1711yescharacteristic
1635C2×C4C22×D4×C1711yescharacteristic
1636C2×C4C22×D4×C1711yescharacteristic
1637C2×C4C22×D4×C1711yescharacteristic
1638C2×C4C22×D4×C1711yescharacteristic
1639C2×C4C22×D4×C1711yescharacteristic
1640C2×C4C22×D4×C1711yescharacteristic
1641C2×C4C22×D4×C1711yescharacteristic
1642C2×C4C22×D4×C1711yescharacteristic
1643C2×C4C25×C1711yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8C2×#41×C1712yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—22no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—84no—
1674C22—162no—
1675C22C23×D4×C1711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4C22×#41×C1711yescharacteristic
1700C4C17×#58511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—42no—
1706C2—81no—
1707C2—81no—
1708C2D4×#41×C1711yescharacteristic
1709C2C17×#358511yescharacteristic
1710C2C17×#358611yescharacteristic
subgroupG/H
center, socleC22×C17C23×D4
commutator, Frattini, cosocleC2×C4C25×C17
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C17 ◁ C17×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#3521C2semidirect
2. C17×#3520C2semidirect
3. C17×#3402C2semidirect
4. C17×#3384C2semidirect
5. C17×#3376C2semidirect
6. C17×#3367C2semidirect
7. C17×#3356C2semidirect
8. C17×#3346C2semidirect
9. C17×#3343C2semidirect
10. C17×#3331C2semidirect
11. C17×#3322C2semidirect
12. C17×#3315C2semidirect
13. C17×#3314C2semidirect
14. C17×#3311C2semidirect
15. C17×#3306C2semidirect
16. C17×#3273C2semidirect
17. C17×#3267C2semidirect
18. C17×#3267C2semidirect
19. C17×#3178C2semidirect
20. C17×#3173C2semidirect
21. C17×#3172C2semidirect
22. C17×#3125C2semidirect
23. C17×#3124C2semidirect
24. C17×#3120C2semidirect
25. C17×#3118C2semidirect
26. C17×#3116C2semidirect
27. C17×#3114C2semidirect
28. C17×#2967C2semidirect
29. C17×#2951C2semidirect
30. C17×#2946C2semidirect
31. C4×C17×AGL(1,ℤ/8)C2semidirect
36. C17×#556C22semidirect
37. C17×#556C22semidirect
39. C17×#554C22semidirect
40. C17×#554C22semidirect
45. C17×#552C22semidirect
50. D4×Q8×C17C22semidirect
57. C17×#546C22semidirect
58. C17×#546C22semidirect
60. C17×#542C22semidirect
61. C17×#542C22semidirect
62. C17×#541C22semidirect
67. C17×#533C22semidirect
75. C17×#520C22semidirect
76. C17×#520C22semidirect
77. C17×#518C22semidirect
79. C2×C4×D4×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#498C22semidirect
83. C17×#497C22semidirect
84. C17×#497C22semidirect
86. C17×#491C22semidirect
87. C17×#489C22semidirect
88. C17×#489C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#487C22semidirect
92. C17×#485C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#484C22semidirect
96. C17×#484C22semidirect
97. C17×#483C22semidirect
98. C17×#483C22semidirect
99. C17×#483C22semidirect
101. C17×#481C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#478C22semidirect
106. C17×#478C22semidirect
107. C17×#478C22semidirect
108. C17×#477C22semidirect
109. C17×#477C22semidirect
110. C17×#476C22semidirect
111. C17×#476C22semidirect
112. C17×#476C22semidirect
113. C17×#475C22semidirect
114. C17×#474C22semidirect
115. C17×#474C22semidirect
116. C17×#470C22semidirect
117. C17×#470C22semidirect
118. C17×#470C22semidirect
119. C17×#470C22semidirect
124. C17×#467C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
128. C17×#464C22semidirect
129. C17×#464C22semidirect
136. C17×#462C22semidirect
137. C17×#462C22semidirect
138. C17×#461C22semidirect
139. C17×#461C22semidirect
144. C17×#452C22semidirect
145. C17×#452C22semidirect
146. C17×#450C22semidirect
147. C17×#450C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
159. C17×#441C22semidirect
160. C17×#441C22semidirect
161. C17×#440C22semidirect
162. C17×#440C22semidirect
163. C17×#440C22semidirect
164. C17×#440C22semidirect
165. C17×#440C22semidirect
166. C17×#440C22semidirect
167. C17×#440C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
170. C4×Q16×C17C22semidirect
171. C4×Q16×C17C22semidirect
172. C4×Q16×C17C22semidirect
173. C4×SD16×C17C22semidirect
174. C4×SD16×C17C22semidirect
175. C4×SD16×C17C22semidirect
176. C4×SD16×C17C22semidirect
177. C4×SD16×C17C22semidirect
183. C17×#436C22semidirect
185. C17×#435C22semidirect
186. C17×#435C22semidirect
187. C17×#435C22semidirect
188. C17×#433C22semidirect
189. C17×#433C22semidirect
190. C17×#432C22semidirect
191. C17×#428C22semidirect
192. C17×#428C22semidirect
193. C2×C17×#107C22semidirect
194. C17×#418C22semidirect
196. C17×#417C22semidirect
197. C17×#417C22semidirect
199. C2×C17×#102C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C4×M16×C17C22semidirect
564. D8×C17#41semidirect
689. #61510C17direct (N × H)
797. #3521C2×C17semidirect
798. #3520C2×C17semidirect
799. #3402C2×C17semidirect
800. #3384C2×C17semidirect
801. #3376C2×C17semidirect
802. #3367C2×C17semidirect
803. #3356C2×C17semidirect
804. #3346C2×C17semidirect
805. #3343C2×C17semidirect
806. #3331C2×C17semidirect
807. #3322C2×C17semidirect
808. #3315C2×C17semidirect
809. #3314C2×C17semidirect
810. #3311C2×C17semidirect
811. #3306C2×C17semidirect
812. #3273C2×C17semidirect
813. #3267C2×C17semidirect
814. #3267C2×C17semidirect
815. #3178C2×C17semidirect
816. #3173C2×C17semidirect
817. #3172C2×C17semidirect
818. #3125C2×C17semidirect
819. #3124C2×C17semidirect
820. #3120C2×C17semidirect
821. #3118C2×C17semidirect
822. #3116C2×C17semidirect
823. #3114C2×C17semidirect
824. #2967C2×C17semidirect
825. #2951C2×C17semidirect
826. #2946C2×C17semidirect
827. C4×AGL(1,ℤ/8)C2×C17semidirect
881. #556C22×C17semidirect
882. #556C22×C17semidirect
884. #554C22×C17semidirect
885. #554C22×C17semidirect
890. #552C22×C17semidirect
895. D4×Q8C22×C17semidirect
902. #546C22×C17semidirect
903. #546C22×C17semidirect
905. #542C22×C17semidirect
906. #542C22×C17semidirect
907. #541C22×C17semidirect
912. #533C22×C17semidirect
920. #520C22×C17semidirect
921. #520C22×C17semidirect
922. #518C22×C17semidirect
924. C2×C4×D4C22×C17semidirect
925. #501C22×C17semidirect
926. #501C22×C17semidirect
927. #498C22×C17semidirect
928. #497C22×C17semidirect
929. #497C22×C17semidirect
931. #491C22×C17semidirect
932. #489C22×C17semidirect
933. #489C22×C17semidirect
934. #489C22×C17semidirect
935. #488C22×C17semidirect
936. #487C22×C17semidirect
937. #485C22×C17semidirect
938. #485C22×C17semidirect
939. #485C22×C17semidirect
940. #484C22×C17semidirect
941. #484C22×C17semidirect
942. #483C22×C17semidirect
943. #483C22×C17semidirect
944. #483C22×C17semidirect
946. #481C22×C17semidirect
948. #480C22×C17semidirect
949. #479C22×C17semidirect
950. #478C22×C17semidirect
951. #478C22×C17semidirect
952. #478C22×C17semidirect
953. #477C22×C17semidirect
954. #477C22×C17semidirect
955. #476C22×C17semidirect
956. #476C22×C17semidirect
957. #476C22×C17semidirect
958. #475C22×C17semidirect
959. #474C22×C17semidirect
960. #474C22×C17semidirect
961. #470C22×C17semidirect
962. #470C22×C17semidirect
963. #470C22×C17semidirect
964. #470C22×C17semidirect
969. #467C22×C17semidirect
971. #465C22×C17semidirect
972. #465C22×C17semidirect
973. #464C22×C17semidirect
974. #464C22×C17semidirect
981. #462C22×C17semidirect
982. #462C22×C17semidirect
983. #461C22×C17semidirect
984. #461C22×C17semidirect
989. #452C22×C17semidirect
990. #452C22×C17semidirect
991. #450C22×C17semidirect
992. #450C22×C17semidirect
997. #446C22×C17semidirect
998. #446C22×C17semidirect
1004. #441C22×C17semidirect
1005. #441C22×C17semidirect
1006. #440C22×C17semidirect
1007. #440C22×C17semidirect
1008. #440C22×C17semidirect
1009. #440C22×C17semidirect
1010. #440C22×C17semidirect
1011. #440C22×C17semidirect
1012. #440C22×C17semidirect
1013. #440C22×C17semidirect
1014. #440C22×C17semidirect
1015. C4×Q16C22×C17semidirect
1016. C4×Q16C22×C17semidirect
1017. C4×Q16C22×C17semidirect
1018. C4×SD16C22×C17semidirect
1019. C4×SD16C22×C17semidirect
1020. C4×SD16C22×C17semidirect
1021. C4×SD16C22×C17semidirect
1022. C4×SD16C22×C17semidirect
1028. #436C22×C17semidirect
1030. #435C22×C17semidirect
1031. #435C22×C17semidirect
1032. #435C22×C17semidirect
1033. #433C22×C17semidirect
1034. #433C22×C17semidirect
1035. #432C22×C17semidirect
1036. #428C22×C17semidirect
1037. #428C22×C17semidirect
1038. C2×#107C22×C17semidirect
1039. #418C22×C17semidirect
1041. #417C22×C17semidirect
1042. #417C22×C17semidirect
1044. C2×#102C22×C17semidirect
1045. #405C22×C17semidirect
1046. #405C22×C17semidirect
1047. C4×M16C22×C17semidirect
1336. C17#61510direct (N × H)
1420. D8#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35212
C17×#35202
C17×#34022
C17×#33842
C17×#33762
C17×#33672
C17×#33562
C17×#33462
C17×#33432
C17×#33312
C17×#33222
C17×#33152
C17×#33142
C17×#33112
C17×#33062
C17×#32732
C17×#32672
C17×#31782
C17×#31732
C17×#31722
C17×#31252
C17×#31242
C17×#31202
C17×#31182
C17×#31162
C17×#31142
C17×#29672
C17×#29512
C17×#29462
C4×C17×AGL(1,ℤ/8)2
#6151017