Finite Group Databasebeta

← C17×#61507 #16919251

Subgroups — C17×#61507 #16919251

Order 4352.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3517C211yesmaximal, characteristic, complemented
2C17×#3513C211yesmaximal, characteristic, complemented
3C17×#3399C211yesmaximal, characteristic, complemented
4C17×#3388C211yesmaximal, characteristic, complemented
5C17×#3371C211yesmaximal, characteristic, complemented
6C17×#3366C211yesmaximal, characteristic, complemented
7C17×#3351C211yesmaximal, characteristic, complemented
8C17×#3345C211yesmaximal, characteristic, complemented
9C17×#3345C211yesmaximal, characteristic, complemented
10C17×#3332C211yesmaximal, characteristic, complemented
11C17×#3322C211yesmaximal, characteristic, complemented
12C17×#3318C211yesmaximal, characteristic, complemented
13C17×#3317C211yesmaximal, characteristic, complemented
14C17×#3309C211yesmaximal, characteristic, complemented
15C17×#3306C211yesmaximal, characteristic, complemented
16C17×#3274C211yesmaximal, characteristic, complemented
17C17×#3268C211yesmaximal, characteristic, complemented
18C17×#3268C211yesmaximal, characteristic, complemented
19C17×#3179C211yesmaximal, characteristic, complemented
20C17×#3176C211yesmaximal, characteristic, complemented
21C17×#3171C211yesmaximal, characteristic, complemented
22C17×#3125C211yesmaximal, characteristic, complemented
23C17×#3122C211yesmaximal, characteristic, complemented
24C17×#3119C211yesmaximal, characteristic, complemented
25C17×#3119C211yesmaximal, characteristic, complemented
26C17×#3111C211yesmaximal, characteristic, complemented
27C17×#3109C211yesmaximal, characteristic, complemented
28C17×#2967C211yesmaximal, characteristic, complemented
29C17×#2952C211yesmaximal, 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×#559C2211yescharacteristic
36C17×#557C2211yescharacteristic, complemented
37C17×#554C2211yescharacteristic
38C17×#553—21no—
39C17×#553—21no—
40C17×#553—21no—
41C17×#553C2211yescharacteristic
42C17×#553C2211yescharacteristic
43C17×#553C2211yescharacteristic, complemented
44C17×#552C2211yescharacteristic
45C17×#551—21no—
46C17×#551—21no—
47C17×#550—21no—
48C17×#550C2211yescharacteristic
49C17×#550C2211yescharacteristic, complemented
50C17×#550C2211yescharacteristic, complemented
51C17×#550C2211yescharacteristic, complemented
52C17×#547—21no—
53C17×#547C2211yescharacteristic
54C17×#547C2211yescharacteristic, complemented
55C17×#546—21no—
56C17×#546C2211yescharacteristic
57C17×#546C2211yescharacteristic
58D42×C17C2211yescharacteristic
59C17×#542C2211yescharacteristic
60C17×#540—21no—
61C17×#540—21no—
62C17×#540C2211yescharacteristic
63C17×#540C2211yescharacteristic, complemented
64C17×#540C2211yescharacteristic, complemented
65C17×#539—21no—
66C17×#538—21no—
67C17×#532—21no—
68C17×#532C2211yescharacteristic, complemented
69C17×#529—21no—
70C17×#529C2211yescharacteristic
71C17×#529C2211yescharacteristic
72C17×#525—21no—
73C2×C17×#123—21no—
74C17×#520C2211yescharacteristic
75C17×#520C2211yescharacteristic, complemented
76C17×#520C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic
78C4×#41×C17C2211yescharacteristic, complemented
79C2×C4×D4×C17C2211yescharacteristic
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#496C2211yescharacteristic, complemented
84C17×#496C2211yescharacteristic, complemented
85C17×#493C2211yescharacteristic
86C17×#490C2211yescharacteristic
87C17×#490C2211yescharacteristic, complemented
88C17×#490C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#483C2211yescharacteristic, complemented
94C17×#482C2211yescharacteristic
95C17×#482C2211yescharacteristic, complemented
96C17×#482C2211yescharacteristic, complemented
97C17×#481C2211yescharacteristic
98C17×#481C2211yescharacteristic, complemented
99C17×#481C2211yescharacteristic, complemented
100C17×#481C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic, complemented
102C17×#480C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic
108C17×#478C2211yescharacteristic
109C17×#478C2211yescharacteristic, complemented
110C17×#478C2211yescharacteristic, complemented
111C17×#478C2211yescharacteristic, complemented
112C17×#476C2211yescharacteristic
113C17×#476C2211yescharacteristic, complemented
114C17×#476C2211yescharacteristic, complemented
115C17×#475C2211yescharacteristic, complemented
116C17×#469C2211yescharacteristic
117C17×#469C2211yescharacteristic
118C17×#469C2211yescharacteristic
119C17×#469C2211yescharacteristic, complemented
120C17×#469C2211yescharacteristic, complemented
121C17×#468C2211yescharacteristic, complemented
122C17×#468C2211yescharacteristic, complemented
123C17×#468C2211yescharacteristic, complemented
124C17×#466C2211yescharacteristic
125C17×#466C2211yescharacteristic, complemented
126C17×#466C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#464C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic, complemented
131C17×#463C2211yescharacteristic, complemented
132C17×#460C2211yescharacteristic
133C17×#460C2211yescharacteristic, complemented
134C17×#459C2211yescharacteristic
135C17×#459C2211yescharacteristic
136C17×#459C2211yescharacteristic
137C17×#459C2211yescharacteristic
138C17×#459C2211yescharacteristic, complemented
139C17×#459C2211yescharacteristic, complemented
140C17×#452C2211yescharacteristic, complemented
141C17×#452C2211yescharacteristic, complemented
142C17×#449C2211yescharacteristic
143C17×#449C2211yescharacteristic
144C17×#449C2211yescharacteristic
145C17×#449C2211yescharacteristic
146C17×#449C2211yescharacteristic, complemented
147C17×#449C2211yescharacteristic, complemented
148C17×#447C2211yescharacteristic
149C17×#447C2211yescharacteristic
150C17×#447C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#442C2211yescharacteristic
158C17×#442C2211yescharacteristic, complemented
159C17×#442C2211yescharacteristic, complemented
160C17×#442C2211yescharacteristic, complemented
161C17×#442C2211yescharacteristic, complemented
162C17×#442C2211yescharacteristic, complemented
163C17×#441C2211yescharacteristic, complemented
164C17×#441C2211yescharacteristic, complemented
165C17×#440C2211yescharacteristic
166C17×#440C2211yescharacteristic
167C17×#440C2211yescharacteristic, complemented
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, complemented
170C4×SD16×C17C2211yescharacteristic
171C4×SD16×C17C2211yescharacteristic
172C4×SD16×C17C2211yescharacteristic, complemented
173C4×SD16×C17C2211yescharacteristic, complemented
174C4×SD16×C17C2211yescharacteristic, complemented
175C4×SD16×C17C2211yescharacteristic, complemented
176C4×SD16×C17C2211yescharacteristic, complemented
177C4×D8×C17C2211yescharacteristic
178C4×D8×C17C2211yescharacteristic
179C4×D8×C17C2211yescharacteristic, complemented
180C4×D8×C17C2211yescharacteristic, complemented
181C4×D8×C17C2211yescharacteristic, complemented
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×#106C2211yescharacteristic, complemented
194C17×#418C2211yescharacteristic
195C17×#417C2211yescharacteristic
196C17×#417C2211yescharacteristic, complemented
197C17×#417C2211yescharacteristic, complemented
198C17×#416C2211yescharacteristic, complemented
199C2×C17×#102C2211yescharacteristic
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C4×M16×C17C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17—21no—
205C2×#41×C17—21no—
206C2×#41×C17—21no—
207C2×#41×C17C2311yescharacteristic
208C2×#41×C17C2311yescharacteristic
209C2×#41×C17C2311yescharacteristic
210C2×#41×C17C2311yescharacteristic
211C22×D4×C17—21no—
212C22×D4×C17C2311yescharacteristic
213C22×D4×C17C2311yescharacteristic
214C23×C4×C17—21no—
215C17×AGL(1,ℤ/8)—24no—
216C17×AGL(1,ℤ/8)—24no—
217C17×#135—24no—
218C2×Q16×C17C2311yescharacteristic
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×D8×C17C2311yescharacteristic
226C2×D8×C17C2311yescharacteristic
227C2×D8×C17C2311yescharacteristic
228C2×D8×C17C2311yescharacteristic
229C2×D8×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×D8×C17C2311yescharacteristic
232C2×D8×C17C2311yescharacteristic
233C2×D8×C17C2311yescharacteristic
234C2×M16×C17C2311yescharacteristic
235C2×M16×C17C2311yescharacteristic
236C2×M16×C17C2311yescharacteristic
237C2×M16×C17C2311yescharacteristic
238C22×C8×C17C2311yescharacteristic
239C22×C8×C17C2311yescharacteristic
240C17×C4⋊Q8—21no—
241C17×C4⋊Q8C2311yescharacteristic
242C17×C4⋊Q8C2311yescharacteristic
243C17×#127—21no—
244C17×#127—21no—
245C17×#127—21no—
246C17×#127C2311yescharacteristic
247C17×#127C2311yescharacteristic
248C17×#127C2311yescharacteristic
249C17×#127C2311yescharacteristic
250C17×#126—21no—
251C17×#126—21no—
252C17×#126—21no—
253C17×#126—21no—
254C17×#126—21no—
255C17×#126—21no—
256C17×#126D411yescharacteristic
257C17×#126D411yescharacteristic
258C17×#125—21no—
259C17×#125—21no—
260C17×#125—21no—
261C17×#125D411yescharacteristic
262C17×#125C2311yescharacteristic
263C17×#125C2311yescharacteristic
264C17×#125C2311yescharacteristic
265C17×#125C2311yescharacteristic
266C17×#124—21no—
267C17×#124—21no—
268C17×#124—21no—
269C17×#124D411yescharacteristic
270C17×#124C2311yescharacteristic
271C17×#124C2311yescharacteristic
272C17×#123—21no—
273C17×#123—21no—
274C17×#123—21no—
275C17×#123—21no—
276C17×#123—21no—
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×#123D411yescharacteristic
293C17×#123D411yescharacteristic
294C17×C22⋊Q8—21no—
295C17×C22⋊Q8—21no—
296C17×C22⋊Q8—21no—
297C17×C22⋊Q8—21no—
298C17×C22⋊Q8—21no—
299C17×C22⋊Q8—21no—
300C17×C22⋊Q8D411yescharacteristic
301C17×C22⋊Q8C2311yescharacteristic
302C17×C22⋊Q8C2311yescharacteristic
303C17×#121—21no—
304C17×#121—21no—
305C17×#121—21no—
306C17×#121—21no—
307C17×#121—21no—
308C17×#121—21no—
309C17×#121—21no—
310C17×#121—21no—
311C17×#121—21no—
312C17×#121—21no—
313C17×#121—21no—
314C17×#121—21no—
315C17×#121—21no—
316C17×#121—21no—
317C17×#121—21no—
318C17×#121—21no—
319C17×#121—21no—
320C17×#121—21no—
321C17×#121—21no—
322C17×#121—21no—
323C17×#121—21no—
324C17×#121—21no—
325C17×#121D411yescharacteristic
326C17×#121C2311yescharacteristic
327C17×#121C2311yescharacteristic
328C17×#121C2311yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#121C2311yescharacteristic
332C17×#121C2311yescharacteristic
333C17×#121C2311yescharacteristic
334C17×#121C2311yescharacteristic
335C17×#121C2311yescharacteristic
336C17×#120—21no—
337C17×#120—21no—
338C17×#120—21no—
339C17×#120—21no—
340C4×Q8×C17—21no—
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×C17—21no—
365C4×D4×C17—21no—
366C4×D4×C17—21no—
367C4×D4×C17—21no—
368C4×D4×C17—21no—
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
379C4×D4×C17C2311yescharacteristic
380C4×D4×C17C2311yescharacteristic
381C4×D4×C17C2311yescharacteristic
382C4×D4×C17C2311yescharacteristic
383C4×D4×C17C2311yescharacteristic
384C4×D4×C17C2311yescharacteristic
385C4×D4×C17C2311yescharacteristic
386C17×#117—21no—
387C17×#117—21no—
388C17×#117—21no—
389C17×#117—21no—
390C17×#117—21no—
391C17×#117—21no—
392C17×#117C2311yescharacteristic
393C17×#117C2311yescharacteristic
394C17×#117C2311yescharacteristic
395C17×#117C2311yescharacteristic
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17—21no—
398C2×C4⋊C4×C17—21no—
399C2×C4⋊C4×C17—21no—
400C2×C4⋊C4×C17C2311yescharacteristic
401C2×C4⋊C4×C17C2311yescharacteristic
402C2×C4⋊C4×C17C2311yescharacteristic
403C2×C4⋊C4×C17C2311yescharacteristic
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×#106C2311yescharacteristic
418C17×#106C2311yescharacteristic
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×#102C2311yescharacteristic
442C17×#102C2311yescharacteristic
443C17×#102C2311yescharacteristic
444C17×#102C2311yescharacteristic
445C17×#102C2311yescharacteristic
446C17×#102C2311yescharacteristic
447C17×#102C2311yescharacteristic
448C17×#102C2311yescharacteristic
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—
492#41×C17—82no—
493#41×C17—82no—
494#41×C17—82no—
495C2×Q8×C17—21no—
496C2×Q8×C17—21no—
497C2×Q8×C17C2×D411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×Q8×C17C2411yescharacteristic
500C2×D4×C17—22no—
501C2×D4×C17—22no—
502C2×D4×C17—21no—
503C2×D4×C17—21no—
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—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—21no—
518C2×D4×C17—21no—
519C2×D4×C17—21no—
520C2×D4×C17—21no—
521C2×D4×C17—21no—
522C2×D4×C17—21no—
523C2×D4×C17—21no—
524C2×D4×C17—21no—
525C2×D4×C17—21no—
526C2×D4×C17—41no—
527C2×D4×C17—41no—
528C2×D4×C17—82no—
529C2×D4×C17C2×D411yescharacteristic
530C2×D4×C17C2×D411yescharacteristic
531C2×D4×C17C2×D411yescharacteristic
532C2×D4×C17C2411yescharacteristic
533C2×D4×C17C2411yescharacteristic
534C2×D4×C17C2411yescharacteristic
535C2×D4×C17C2411yescharacteristic
536C2×D4×C17C2411yescharacteristic
537C2×D4×C17C2411yescharacteristic
538C22×C4×C17—21no—
539C22×C4×C17—21no—
540C22×C4×C17—21no—
541C22×C4×C17—21no—
542C22×C4×C17—21no—
543C22×C4×C17—21no—
544C22×C4×C17—21no—
545C22×C4×C17—21no—
546C22×C4×C17—21no—
547C22×C4×C17—21no—
548C22×C4×C17—21no—
549C22×C4×C17—21no—
550C22×C4×C17—21no—
551C22×C4×C17—21no—
552C22×C4×C17—21no—
553C22×C4×C17—21no—
554C22×C4×C17—21no—
555C22×C4×C17—21no—
556C22×C4×C17—21no—
557C22×C4×C17—21no—
558C22×C4×C17—21no—
559C22×C4×C17—21no—
560C22×C4×C17—82no—
561C22×C4×C17C2×D411yescharacteristic
562C22×C4×C17C2×D411yescharacteristic
563C22×C4×C17C2411yescharacteristic
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2411yescharacteristic
566Q16×C17—22no—
567SD16×C17—22no—
568SD16×C17—22no—
569SD16×C17—22no—
570SD16×C17—41no—
571SD16×C17—41no—
572SD16×C17#4114yescomplemented
573D8×C17—22no—
574D8×C17—22no—
575D8×C17—22no—
576D8×C17—22no—
577D8×C17—22no—
578D8×C17—41no—
579D8×C17—41no—
580D8×C17—41no—
581D8×C17—41no—
582M16×C17—22no—
583M16×C17—22no—
584M16×C17—41no—
585M16×C17—41no—
586C2×C8×C17—22no—
587C2×C8×C17—41no—
588C2×C8×C17C2411yescharacteristic
589C2×C8×C17C2411yescharacteristic
590C2×C8×C17C2411yescharacteristic
591C2×C8×C17C2411yescharacteristic
592C2×C8×C17C2411yescharacteristic
593C2×C8×C17C2411yescharacteristic
594C2×C8×C17C2411yescharacteristic
595C2×C8×C17C2411yescharacteristic
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×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17—21no—
614C4⋊C4×C17—21no—
615C4⋊C4×C17—21no—
616C4⋊C4×C17—21no—
617C4⋊C4×C17—21no—
618C4⋊C4×C17C2×D411yescharacteristic
619C4⋊C4×C17C2×D411yescharacteristic
620C4⋊C4×C17C2×D411yescharacteristic
621C4⋊C4×C17C2×D411yescharacteristic
622C4⋊C4×C17C2×D411yescharacteristic
623C4⋊C4×C17C2×D411yescharacteristic
624C4⋊C4×C17C2×D411yescharacteristic
625C4⋊C4×C17C2×D411yescharacteristic
626C4⋊C4×C17C2×D411yescharacteristic
627C4⋊C4×C17C2×D411yescharacteristic
628C4⋊C4×C17C2411yescharacteristic
629C4⋊C4×C17C2411yescharacteristic
630C4⋊C4×C17C2411yescharacteristic
631C4⋊C4×C17C2411yescharacteristic
632C4⋊C4×C17C2411yescharacteristic
633C4⋊C4×C17C2411yescharacteristic
634C4⋊C4×C17C2411yescharacteristic
635C4⋊C4×C17C2411yescharacteristic
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×C17—21no—
664C22⋊C4×C17—21no—
665C22⋊C4×C17—21no—
666C22⋊C4×C17—21no—
667C22⋊C4×C17—21no—
668C22⋊C4×C17C2×D411yescharacteristic
669C22⋊C4×C17C2×D411yescharacteristic
670C22⋊C4×C17C2×D411yescharacteristic
671C22⋊C4×C17C2×D411yescharacteristic
672C22⋊C4×C17C2×D411yescharacteristic
673C22⋊C4×C17C2×D411yescharacteristic
674C22⋊C4×C17C2×D411yescharacteristic
675C22⋊C4×C17C2×D411yescharacteristic
676C22⋊C4×C17C2×D411yescharacteristic
677C22⋊C4×C17C2×D411yescharacteristic
678C42×C17—21no—
679C42×C17—21no—
680C42×C17—21no—
681C42×C17—21no—
682C42×C17—21no—
683C42×C17—21no—
684C42×C17—21no—
685C42×C17—21no—
686C42×C17C2×D411yescharacteristic
687C42×C17C2×D411yescharacteristic
688C42×C17C2411yescharacteristic
689C42×C17C2411yescharacteristic
690C42×C17C2411yescharacteristic
691C42×C17C2411yescharacteristic
692#61507C1711yesmaximal, characteristic, direct product factor, Sylow
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—21no—
696C23×C17—21no—
697C23×C17—21no—
698C23×C17—21no—
699C23×C17—42no—
700C23×C17—42no—
701C23×C17—42no—
702C23×C17—81no—
703C23×C17—81no—
704C23×C17—81no—
705C23×C17C22×D411yescharacteristic
706C23×C17C22×D411yescharacteristic
707C23×C17C22×D411yescharacteristic
708Q8×C17—21no—
709Q8×C17—21no—
710Q8×C17—21no—
711Q8×C17—41no—
712Q8×C17—42no—
713Q8×C17—81no—
714Q8×C17C2×#4112yes—
715D4×C17—21no—
716D4×C17—21no—
717D4×C17—21no—
718D4×C17—21no—
719D4×C17—21no—
720D4×C17—21no—
721D4×C17—21no—
722D4×C17—21no—
723D4×C17—21no—
724D4×C17—21no—
725D4×C17—21no—
726D4×C17—41no—
727D4×C17—41no—
728D4×C17—41no—
729D4×C17—42no—
730D4×C17—42no—
731D4×C17—42no—
732D4×C17—42no—
733D4×C17—42no—
734D4×C17—42no—
735D4×C17—42no—
736D4×C17—42no—
737D4×C17—81no—
738D4×C17—81no—
739D4×C17—81no—
740D4×C17—81no—
741D4×C17—81no—
742D4×C17—81no—
743D4×C17—81no—
744D4×C17—81no—
745D4×C17—81no—
746D4×C17—81no—
747D4×C17—81no—
748D4×C17—81no—
749D4×C17—81no—
750D4×C17—81no—
751D4×C17—81no—
752D4×C17—81no—
753D4×C17C2×#4112yes—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—41no—
771C2×C4×C17—41no—
772C2×C4×C17—42no—
773C2×C4×C17—42no—
774C2×C4×C17—42no—
775C2×C4×C17—42no—
776C2×C4×C17—42no—
777C2×C4×C17—42no—
778C2×C4×C17—81no—
779C2×C4×C17—81no—
780C2×C4×C17—81no—
781C2×C4×C17—81no—
782C2×C4×C17—81no—
783C2×C4×C17—81no—
784C2×C4×C17—81no—
785C2×C4×C17—81no—
786C2×C4×C17—81no—
787C2×C4×C17—81no—
788C2×C4×C17—81no—
789C2×C4×C17—81no—
790C2×C4×C17—81no—
791C2×C4×C17—81no—
792C2×C4×C17—81no—
793C2×C4×C17—81no—
794C2×C4×C17C22×D411yescharacteristic
795C2×C4×C17C22×D411yescharacteristic
796C2×C4×C17C22×D411yescharacteristic
797C2×C4×C17C22×D411yescharacteristic
798C2×C4×C17C22×D411yescharacteristic
799C2×C4×C17C22×D411yescharacteristic
800C2×C4×C17C22×D411yescharacteristic
801C2×C4×C17C22×D411yescharacteristic
802C2×C4×C17C22×D411yescharacteristic
803C2×C4×C17C22×D411yescharacteristic
804C2×C4×C17C22×D411yescharacteristic
805C2×C4×C17C2511yescharacteristic
806C8×C17—21no—
807C8×C17—21no—
808C8×C17—21no—
809C8×C17—21no—
810C8×C17—21no—
811C8×C17—21no—
812C8×C17—21no—
813C8×C17C2×#4112yes—
814#3517C2×C1711yescharacteristic, complemented
815#3513C2×C1711yescharacteristic, complemented
816#3399C2×C1711yescharacteristic, complemented
817#3388C2×C1711yescharacteristic, complemented
818#3371C2×C1711yescharacteristic, complemented
819#3366C2×C1711yescharacteristic, complemented
820#3351C2×C1711yescharacteristic, complemented
821#3345C2×C1711yescharacteristic, complemented
822#3345C2×C1711yescharacteristic, complemented
823#3332C2×C1711yescharacteristic, complemented
824#3322C2×C1711yescharacteristic, complemented
825#3318C2×C1711yescharacteristic, complemented
826#3317C2×C1711yescharacteristic, complemented
827#3309C2×C1711yescharacteristic, complemented
828#3306C2×C1711yescharacteristic, complemented
829#3274C2×C1711yescharacteristic, complemented
830#3268C2×C1711yescharacteristic, complemented
831#3268C2×C1711yescharacteristic, complemented
832#3179C2×C1711yescharacteristic, complemented
833#3176C2×C1711yescharacteristic, complemented
834#3171C2×C1711yescharacteristic, complemented
835#3125C2×C1711yescharacteristic, complemented
836#3122C2×C1711yescharacteristic, complemented
837#3119C2×C1711yescharacteristic, complemented
838#3119C2×C1711yescharacteristic, complemented
839#3111C2×C1711yescharacteristic, complemented
840#3109C2×C1711yescharacteristic, complemented
841#2967C2×C1711yescharacteristic, complemented
842#2952C2×C1711yescharacteristic, complemented
843#2946C2×C1711yescharacteristic, complemented
844C4×AGL(1,ℤ/8)C2×C1711yescharacteristic, complemented
845C22×C17—21no—
846C22×C17—21no—
847C22×C17—21no—
848C22×C17—21no—
849C22×C17—21no—
850C22×C17—21no—
851C22×C17—21no—
852C22×C17—21no—
853C22×C17—21no—
854C22×C17—22no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—41no—
863C22×C17—41no—
864C22×C17—41no—
865C22×C17—41no—
866C22×C17—41no—
867C22×C17—41no—
868C22×C17—41no—
869C22×C17—41no—
870C22×C17—41no—
871C22×C17—41no—
872C22×C17—84no—
873C22×C17—162no—
874C22×C17C23×D411yescharacteristic
875C4×C17—21no—
876C4×C17—21no—
877C4×C17—21no—
878C4×C17—21no—
879C4×C17—21no—
880C4×C17—21no—
881C4×C17—21no—
882C4×C17—21no—
883C4×C17—21no—
884C4×C17—21no—
885C4×C17—21no—
886C4×C17—22no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C4×C17—41no—
892C4×C17—41no—
893C4×C17—41no—
894C4×C17—41no—
895C4×C17—41no—
896C4×C17C22×#4111yescharacteristic
897C4×C17#58511yescharacteristic
898C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
899C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
900C2×#135C22×C1711yescharacteristic
901#559C22×C1711yescharacteristic
902#557C22×C1711yescharacteristic, complemented
903#554C22×C1711yescharacteristic
904#553—21no—
905#553—21no—
906#553—21no—
907#553C22×C1711yescharacteristic
908#553C22×C1711yescharacteristic
909#553C22×C1711yescharacteristic, complemented
910#552C22×C1711yescharacteristic
911#551—21no—
912#551—21no—
913#550—21no—
914#550C22×C1711yescharacteristic
915#550C22×C1711yescharacteristic, complemented
916#550C22×C1711yescharacteristic, complemented
917#550C22×C1711yescharacteristic, complemented
918#547—21no—
919#547C22×C1711yescharacteristic
920#547C22×C1711yescharacteristic, complemented
921#546—21no—
922#546C22×C1711yescharacteristic
923#546C22×C1711yescharacteristic
924D42C22×C1711yescharacteristic
925#542C22×C1711yescharacteristic
926#540—21no—
927#540—21no—
928#540C22×C1711yescharacteristic
929#540C22×C1711yescharacteristic, complemented
930#540C22×C1711yescharacteristic, complemented
931#539—21no—
932#538—21no—
933#532—21no—
934#532C22×C1711yescharacteristic, complemented
935#529—21no—
936#529C22×C1711yescharacteristic
937#529C22×C1711yescharacteristic
938#525—21no—
939C2×#123—21no—
940#520C22×C1711yescharacteristic
941#520C22×C1711yescharacteristic, complemented
942#520C22×C1711yescharacteristic, complemented
943#518C22×C1711yescharacteristic
944C4×#41C22×C1711yescharacteristic, complemented
945C2×C4×D4C22×C1711yescharacteristic
946#501C22×C1711yescharacteristic, complemented
947#501C22×C1711yescharacteristic, complemented
948#499C22×C1711yescharacteristic, complemented
949#496C22×C1711yescharacteristic, complemented
950#496C22×C1711yescharacteristic, complemented
951#493C22×C1711yescharacteristic
952#490C22×C1711yescharacteristic
953#490C22×C1711yescharacteristic, complemented
954#490C22×C1711yescharacteristic, complemented
955#489C22×C1711yescharacteristic, complemented
956#488C22×C1711yescharacteristic, complemented
957#486C22×C1711yescharacteristic, complemented
958#485C22×C1711yescharacteristic, complemented
959#483C22×C1711yescharacteristic, complemented
960#482C22×C1711yescharacteristic
961#482C22×C1711yescharacteristic, complemented
962#482C22×C1711yescharacteristic, complemented
963#481C22×C1711yescharacteristic
964#481C22×C1711yescharacteristic, complemented
965#481C22×C1711yescharacteristic, complemented
966#481C22×C1711yescharacteristic, complemented
967#481C22×C1711yescharacteristic, complemented
968#480C22×C1711yescharacteristic, complemented
969#480C22×C1711yescharacteristic, complemented
970#479C22×C1711yescharacteristic, complemented
971#479C22×C1711yescharacteristic, complemented
972#479C22×C1711yescharacteristic, complemented
973#478C22×C1711yescharacteristic
974#478C22×C1711yescharacteristic
975#478C22×C1711yescharacteristic, complemented
976#478C22×C1711yescharacteristic, complemented
977#478C22×C1711yescharacteristic, complemented
978#476C22×C1711yescharacteristic
979#476C22×C1711yescharacteristic, complemented
980#476C22×C1711yescharacteristic, complemented
981#475C22×C1711yescharacteristic, complemented
982#469C22×C1711yescharacteristic
983#469C22×C1711yescharacteristic
984#469C22×C1711yescharacteristic
985#469C22×C1711yescharacteristic, complemented
986#469C22×C1711yescharacteristic, complemented
987#468C22×C1711yescharacteristic, complemented
988#468C22×C1711yescharacteristic, complemented
989#468C22×C1711yescharacteristic, complemented
990#466C22×C1711yescharacteristic
991#466C22×C1711yescharacteristic, complemented
992#466C22×C1711yescharacteristic, complemented
993#465C22×C1711yescharacteristic, complemented
994#464C22×C1711yescharacteristic, complemented
995#464C22×C1711yescharacteristic, complemented
996#463C22×C1711yescharacteristic, complemented
997#463C22×C1711yescharacteristic, complemented
998#460C22×C1711yescharacteristic
999#460C22×C1711yescharacteristic, complemented
1000#459C22×C1711yescharacteristic
1001#459C22×C1711yescharacteristic
1002#459C22×C1711yescharacteristic
1003#459C22×C1711yescharacteristic
1004#459C22×C1711yescharacteristic, complemented
1005#459C22×C1711yescharacteristic, complemented
1006#452C22×C1711yescharacteristic, complemented
1007#452C22×C1711yescharacteristic, complemented
1008#449C22×C1711yescharacteristic
1009#449C22×C1711yescharacteristic
1010#449C22×C1711yescharacteristic
1011#449C22×C1711yescharacteristic
1012#449C22×C1711yescharacteristic, complemented
1013#449C22×C1711yescharacteristic, complemented
1014#447C22×C1711yescharacteristic
1015#447C22×C1711yescharacteristic
1016#447C22×C1711yescharacteristic
1017#447C22×C1711yescharacteristic
1018#446C22×C1711yescharacteristic, complemented
1019#446C22×C1711yescharacteristic, complemented
1020#442C22×C1711yescharacteristic
1021#442C22×C1711yescharacteristic
1022#442C22×C1711yescharacteristic
1023#442C22×C1711yescharacteristic
1024#442C22×C1711yescharacteristic, complemented
1025#442C22×C1711yescharacteristic, complemented
1026#442C22×C1711yescharacteristic, complemented
1027#442C22×C1711yescharacteristic, complemented
1028#442C22×C1711yescharacteristic, complemented
1029#441C22×C1711yescharacteristic, complemented
1030#441C22×C1711yescharacteristic, complemented
1031#440C22×C1711yescharacteristic
1032#440C22×C1711yescharacteristic
1033#440C22×C1711yescharacteristic, complemented
1034#440C22×C1711yescharacteristic, complemented
1035#440C22×C1711yescharacteristic, complemented
1036C4×SD16C22×C1711yescharacteristic
1037C4×SD16C22×C1711yescharacteristic
1038C4×SD16C22×C1711yescharacteristic, complemented
1039C4×SD16C22×C1711yescharacteristic, complemented
1040C4×SD16C22×C1711yescharacteristic, complemented
1041C4×SD16C22×C1711yescharacteristic, complemented
1042C4×SD16C22×C1711yescharacteristic, complemented
1043C4×D8C22×C1711yescharacteristic
1044C4×D8C22×C1711yescharacteristic
1045C4×D8C22×C1711yescharacteristic, complemented
1046C4×D8C22×C1711yescharacteristic, complemented
1047C4×D8C22×C1711yescharacteristic, complemented
1048#436C22×C1711yescharacteristic
1049#436C22×C1711yescharacteristic, complemented
1050#435C22×C1711yescharacteristic
1051#435C22×C1711yescharacteristic, complemented
1052#435C22×C1711yescharacteristic, complemented
1053#435C22×C1711yescharacteristic, complemented
1054#433C22×C1711yescharacteristic, complemented
1055#433C22×C1711yescharacteristic, complemented
1056#432C22×C1711yescharacteristic, complemented
1057#428C22×C1711yescharacteristic, complemented
1058#428C22×C1711yescharacteristic, complemented
1059C2×#106C22×C1711yescharacteristic, complemented
1060#418C22×C1711yescharacteristic
1061#417C22×C1711yescharacteristic
1062#417C22×C1711yescharacteristic, complemented
1063#417C22×C1711yescharacteristic, complemented
1064#416C22×C1711yescharacteristic, complemented
1065C2×#102C22×C1711yescharacteristic
1066#405C22×C1711yescharacteristic, complemented
1067#405C22×C1711yescharacteristic, complemented
1068C4×M16C22×C1711yescharacteristic, complemented
1069C2×C17—41no—
1070C2×C17—41no—
1071C2×C17—41no—
1072C2×C17—42no—
1073C2×C17—81no—
1074C2×C17—81no—
1075C2×C17—81no—
1076C2×C17—81no—
1077C2×C17—81no—
1078C2×C17D4×#4111yescharacteristic
1079C2×C17#358511yescharacteristic
1080C2×C17#358511yescharacteristic
1081C2×#41—21no—
1082C2×#41—21no—
1083C2×#41—21no—
1084C2×#41—21no—
1085C2×#41C23×C1711yescharacteristic
1086C2×#41C23×C1711yescharacteristic
1087C2×#41C23×C1711yescharacteristic
1088C2×#41C23×C1711yescharacteristic
1089C22×D4—21no—
1090C22×D4C23×C1711yescharacteristic
1091C22×D4C23×C1711yescharacteristic
1092C23×C4—21no—
1093AGL(1,ℤ/8)—24no—
1094AGL(1,ℤ/8)—24no—
1095#135—24no—
1096C2×Q16C23×C1711yescharacteristic
1097C2×SD16C23×C1711yescharacteristic
1098C2×SD16C23×C1711yescharacteristic
1099C2×SD16C23×C1711yescharacteristic
1100C2×SD16C23×C1711yescharacteristic
1101C2×SD16C23×C1711yescharacteristic
1102C2×SD16C23×C1711yescharacteristic
1103C2×D8C23×C1711yescharacteristic
1104C2×D8C23×C1711yescharacteristic
1105C2×D8C23×C1711yescharacteristic
1106C2×D8C23×C1711yescharacteristic
1107C2×D8C23×C1711yescharacteristic
1108C2×D8C23×C1711yescharacteristic
1109C2×D8C23×C1711yescharacteristic
1110C2×D8C23×C1711yescharacteristic
1111C2×D8C23×C1711yescharacteristic
1112C2×M16C23×C1711yescharacteristic
1113C2×M16C23×C1711yescharacteristic
1114C2×M16C23×C1711yescharacteristic
1115C2×M16C23×C1711yescharacteristic
1116C22×C8C23×C1711yescharacteristic
1117C22×C8C23×C1711yescharacteristic
1118C4⋊Q8—21no—
1119C4⋊Q8C23×C1711yescharacteristic
1120C4⋊Q8C23×C1711yescharacteristic
1121#127—21no—
1122#127—21no—
1123#127—21no—
1124#127C23×C1711yescharacteristic
1125#127C23×C1711yescharacteristic
1126#127C23×C1711yescharacteristic
1127#127C23×C1711yescharacteristic
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126D4×C1711yescharacteristic
1135#126D4×C1711yescharacteristic
1136#125—21no—
1137#125—21no—
1138#125—21no—
1139#125D4×C1711yescharacteristic
1140#125C23×C1711yescharacteristic
1141#125C23×C1711yescharacteristic
1142#125C23×C1711yescharacteristic
1143#125C23×C1711yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124D4×C1711yescharacteristic
1148#124C23×C1711yescharacteristic
1149#124C23×C1711yescharacteristic
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123D4×C1711yescharacteristic
1171#123D4×C1711yescharacteristic
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8D4×C1711yescharacteristic
1179C22⋊Q8C23×C1711yescharacteristic
1180C22⋊Q8C23×C1711yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121—21no—
1200#121—21no—
1201#121—21no—
1202#121—21no—
1203#121D4×C1711yescharacteristic
1204#121C23×C1711yescharacteristic
1205#121C23×C1711yescharacteristic
1206#121C23×C1711yescharacteristic
1207#121C23×C1711yescharacteristic
1208#121C23×C1711yescharacteristic
1209#121C23×C1711yescharacteristic
1210#121C23×C1711yescharacteristic
1211#121C23×C1711yescharacteristic
1212#121C23×C1711yescharacteristic
1213#121C23×C1711yescharacteristic
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218C4×Q8—21no—
1219C4×Q8C23×C1711yescharacteristic
1220C4×Q8C23×C1711yescharacteristic
1221C4×Q8C23×C1711yescharacteristic
1222C4×Q8C23×C1711yescharacteristic
1223C4×Q8C23×C1711yescharacteristic
1224C4×Q8C23×C1711yescharacteristic
1225C4×Q8C23×C1711yescharacteristic
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4C23×C1711yescharacteristic
1248C4×D4C23×C1711yescharacteristic
1249C4×D4C23×C1711yescharacteristic
1250C4×D4C23×C1711yescharacteristic
1251C4×D4C23×C1711yescharacteristic
1252C4×D4C23×C1711yescharacteristic
1253C4×D4C23×C1711yescharacteristic
1254C4×D4C23×C1711yescharacteristic
1255C4×D4C23×C1711yescharacteristic
1256C4×D4C23×C1711yescharacteristic
1257C4×D4C23×C1711yescharacteristic
1258C4×D4C23×C1711yescharacteristic
1259C4×D4C23×C1711yescharacteristic
1260C4×D4C23×C1711yescharacteristic
1261C4×D4C23×C1711yescharacteristic
1262C4×D4C23×C1711yescharacteristic
1263C4×D4C23×C1711yescharacteristic
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117C23×C1711yescharacteristic
1271#117C23×C1711yescharacteristic
1272#117C23×C1711yescharacteristic
1273#117C23×C1711yescharacteristic
1274C2×C4⋊C4—21no—
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4C23×C1711yescharacteristic
1279C2×C4⋊C4C23×C1711yescharacteristic
1280C2×C4⋊C4C23×C1711yescharacteristic
1281C2×C4⋊C4C23×C1711yescharacteristic
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C42—21no—
1288C2×C42C23×C1711yescharacteristic
1289#107C23×C1711yescharacteristic
1290#107C23×C1711yescharacteristic
1291#107C23×C1711yescharacteristic
1292#107C23×C1711yescharacteristic
1293#107C23×C1711yescharacteristic
1294#107C23×C1711yescharacteristic
1295#106C23×C1711yescharacteristic
1296#106C23×C1711yescharacteristic
1297#106C23×C1711yescharacteristic
1298#106C23×C1711yescharacteristic
1299#106C23×C1711yescharacteristic
1300#106C23×C1711yescharacteristic
1301#106C23×C1711yescharacteristic
1302#106C23×C1711yescharacteristic
1303#106C23×C1711yescharacteristic
1304#106C23×C1711yescharacteristic
1305C4⋊C8C23×C1711yescharacteristic
1306C4⋊C8C23×C1711yescharacteristic
1307C4⋊C8C23×C1711yescharacteristic
1308C4⋊C8C23×C1711yescharacteristic
1309C4⋊C8C23×C1711yescharacteristic
1310C4⋊C8C23×C1711yescharacteristic
1311#103C23×C1711yescharacteristic
1312#103C23×C1711yescharacteristic
1313#103C23×C1711yescharacteristic
1314#103C23×C1711yescharacteristic
1315#103C23×C1711yescharacteristic
1316#103C23×C1711yescharacteristic
1317#103C23×C1711yescharacteristic
1318#103C23×C1711yescharacteristic
1319#102C23×C1711yescharacteristic
1320#102C23×C1711yescharacteristic
1321#102C23×C1711yescharacteristic
1322#102C23×C1711yescharacteristic
1323#102C23×C1711yescharacteristic
1324#102C23×C1711yescharacteristic
1325#102C23×C1711yescharacteristic
1326#102C23×C1711yescharacteristic
1327#102C23×C1711yescharacteristic
1328#102C23×C1711yescharacteristic
1329#102C23×C1711yescharacteristic
1330#102C23×C1711yescharacteristic
1331#102C23×C1711yescharacteristic
1332#102C23×C1711yescharacteristic
1333#102C23×C1711yescharacteristic
1334#102C23×C1711yescharacteristic
1335#102C23×C1711yescharacteristic
1336#102C23×C1711yescharacteristic
1337#102C23×C1711yescharacteristic
1338#102C23×C1711yescharacteristic
1339#102C23×C1711yescharacteristic
1340#102C23×C1711yescharacteristic
1341#102C23×C1711yescharacteristic
1342#102C23×C1711yescharacteristic
1343C22⋊C8C23×C1711yescharacteristic
1344C22⋊C8C23×C1711yescharacteristic
1345C22⋊C8C23×C1711yescharacteristic
1346C22⋊C8C23×C1711yescharacteristic
1347C22⋊C8C23×C1711yescharacteristic
1348C22⋊C8C23×C1711yescharacteristic
1349#97C23×C1711yescharacteristic
1350#97C23×C1711yescharacteristic
1351#97C23×C1711yescharacteristic
1352#97C23×C1711yescharacteristic
1353#97C23×C1711yescharacteristic
1354#97C23×C1711yescharacteristic
1355C4×C8C23×C1711yescharacteristic
1356C4×C8C23×C1711yescharacteristic
1357C4×C8C23×C1711yescharacteristic
1358C4×C8C23×C1711yescharacteristic
1359C17#6150711yescharacteristic, direct product factor, Sylow
1360C24—21no—
1361C24—21no—
1362#41—22no—
1363#41—22no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—82no—
1371#41—82no—
1372#41—82no—
1373#41—82no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8C2×D4×C1711yescharacteristic
1377C2×Q8C24×C1711yescharacteristic
1378C2×Q8C24×C1711yescharacteristic
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—82no—
1408C2×D4C2×D4×C1711yescharacteristic
1409C2×D4C2×D4×C1711yescharacteristic
1410C2×D4C2×D4×C1711yescharacteristic
1411C2×D4C24×C1711yescharacteristic
1412C2×D4C24×C1711yescharacteristic
1413C2×D4C24×C1711yescharacteristic
1414C2×D4C24×C1711yescharacteristic
1415C2×D4C24×C1711yescharacteristic
1416C2×D4C24×C1711yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—82no—
1440C22×C4C2×D4×C1711yescharacteristic
1441C22×C4C2×D4×C1711yescharacteristic
1442C22×C4C24×C1711yescharacteristic
1443C22×C4C24×C1711yescharacteristic
1444C22×C4C24×C1711yescharacteristic
1445Q16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16#41×C1714yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—22no—
1456D8—22no—
1457D8—41no—
1458D8—41no—
1459D8—41no—
1460D8—41no—
1461M16—22no—
1462M16—22no—
1463M16—41no—
1464M16—41no—
1465C2×C8—22no—
1466C2×C8—41no—
1467C2×C8C24×C1711yescharacteristic
1468C2×C8C24×C1711yescharacteristic
1469C2×C8C24×C1711yescharacteristic
1470C2×C8C24×C1711yescharacteristic
1471C2×C8C24×C1711yescharacteristic
1472C2×C8C24×C1711yescharacteristic
1473C2×C8C24×C1711yescharacteristic
1474C2×C8C24×C1711yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4C2×D4×C1711yescharacteristic
1498C4⋊C4C2×D4×C1711yescharacteristic
1499C4⋊C4C2×D4×C1711yescharacteristic
1500C4⋊C4C2×D4×C1711yescharacteristic
1501C4⋊C4C2×D4×C1711yescharacteristic
1502C4⋊C4C2×D4×C1711yescharacteristic
1503C4⋊C4C2×D4×C1711yescharacteristic
1504C4⋊C4C2×D4×C1711yescharacteristic
1505C4⋊C4C2×D4×C1711yescharacteristic
1506C4⋊C4C2×D4×C1711yescharacteristic
1507C4⋊C4C24×C1711yescharacteristic
1508C4⋊C4C24×C1711yescharacteristic
1509C4⋊C4C24×C1711yescharacteristic
1510C4⋊C4C24×C1711yescharacteristic
1511C4⋊C4C24×C1711yescharacteristic
1512C4⋊C4C24×C1711yescharacteristic
1513C4⋊C4C24×C1711yescharacteristic
1514C4⋊C4C24×C1711yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4C2×D4×C1711yescharacteristic
1548C22⋊C4C2×D4×C1711yescharacteristic
1549C22⋊C4C2×D4×C1711yescharacteristic
1550C22⋊C4C2×D4×C1711yescharacteristic
1551C22⋊C4C2×D4×C1711yescharacteristic
1552C22⋊C4C2×D4×C1711yescharacteristic
1553C22⋊C4C2×D4×C1711yescharacteristic
1554C22⋊C4C2×D4×C1711yescharacteristic
1555C22⋊C4C2×D4×C1711yescharacteristic
1556C22⋊C4C2×D4×C1711yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42C2×D4×C1711yescharacteristic
1566C42C2×D4×C1711yescharacteristic
1567C42C24×C1711yescharacteristic
1568C42C24×C1711yescharacteristic
1569C42C24×C1711yescharacteristic
1570C42C24×C1711yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23C22×D4×C1711yescharacteristic
1584C23C22×D4×C1711yescharacteristic
1585C23C22×D4×C1711yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—41no—
1590Q8—42no—
1591Q8—81no—
1592Q8C2×#41×C1712yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—42no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4C2×#41×C1712yes—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4C22×D4×C1711yescharacteristic
1673C2×C4C22×D4×C1711yescharacteristic
1674C2×C4C22×D4×C1711yescharacteristic
1675C2×C4C22×D4×C1711yescharacteristic
1676C2×C4C22×D4×C1711yescharacteristic
1677C2×C4C22×D4×C1711yescharacteristic
1678C2×C4C22×D4×C1711yescharacteristic
1679C2×C4C22×D4×C1711yescharacteristic
1680C2×C4C22×D4×C1711yescharacteristic
1681C2×C4C22×D4×C1711yescharacteristic
1682C2×C4C22×D4×C1711yescharacteristic
1683C2×C4C25×C1711yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8C2×#41×C1712yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—84no—
1720C22—162no—
1721C22C23×D4×C1711yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4C22×#41×C1711yescharacteristic
1744C4C17×#58511yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—81no—
1754C2D4×#41×C1711yescharacteristic
1755C2C17×#358511yescharacteristic
1756C2C17×#358511yescharacteristic
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×#3517C2semidirect
2. C17×#3513C2semidirect
3. C17×#3399C2semidirect
4. C17×#3388C2semidirect
5. C17×#3371C2semidirect
6. C17×#3366C2semidirect
7. C17×#3351C2semidirect
8. C17×#3345C2semidirect
9. C17×#3345C2semidirect
10. C17×#3332C2semidirect
11. C17×#3322C2semidirect
12. C17×#3318C2semidirect
13. C17×#3317C2semidirect
14. C17×#3309C2semidirect
15. C17×#3306C2semidirect
16. C17×#3274C2semidirect
17. C17×#3268C2semidirect
18. C17×#3268C2semidirect
19. C17×#3179C2semidirect
20. C17×#3176C2semidirect
21. C17×#3171C2semidirect
22. C17×#3125C2semidirect
23. C17×#3122C2semidirect
24. C17×#3119C2semidirect
25. C17×#3119C2semidirect
26. C17×#3111C2semidirect
27. C17×#3109C2semidirect
28. C17×#2967C2semidirect
29. C17×#2952C2semidirect
30. C17×#2946C2semidirect
31. C4×C17×AGL(1,ℤ/8)C2semidirect
36. C17×#557C22semidirect
43. C17×#553C22semidirect
49. C17×#550C22semidirect
50. C17×#550C22semidirect
51. C17×#550C22semidirect
54. C17×#547C22semidirect
63. C17×#540C22semidirect
64. C17×#540C22semidirect
68. C17×#532C22semidirect
75. C17×#520C22semidirect
76. C17×#520C22semidirect
78. C4×#41×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
83. C17×#496C22semidirect
84. C17×#496C22semidirect
87. C17×#490C22semidirect
88. C17×#490C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
93. C17×#483C22semidirect
95. C17×#482C22semidirect
96. C17×#482C22semidirect
98. C17×#481C22semidirect
99. C17×#481C22semidirect
100. C17×#481C22semidirect
101. C17×#481C22semidirect
102. C17×#480C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
109. C17×#478C22semidirect
110. C17×#478C22semidirect
111. C17×#478C22semidirect
113. C17×#476C22semidirect
114. C17×#476C22semidirect
115. C17×#475C22semidirect
119. C17×#469C22semidirect
120. C17×#469C22semidirect
121. C17×#468C22semidirect
122. C17×#468C22semidirect
123. C17×#468C22semidirect
125. C17×#466C22semidirect
126. C17×#466C22semidirect
127. C17×#465C22semidirect
128. C17×#464C22semidirect
129. C17×#464C22semidirect
130. C17×#463C22semidirect
131. C17×#463C22semidirect
133. C17×#460C22semidirect
138. C17×#459C22semidirect
139. C17×#459C22semidirect
140. C17×#452C22semidirect
141. C17×#452C22semidirect
146. C17×#449C22semidirect
147. C17×#449C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
158. C17×#442C22semidirect
159. C17×#442C22semidirect
160. C17×#442C22semidirect
161. C17×#442C22semidirect
162. C17×#442C22semidirect
163. C17×#441C22semidirect
164. C17×#441C22semidirect
167. C17×#440C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
172. C4×SD16×C17C22semidirect
173. C4×SD16×C17C22semidirect
174. C4×SD16×C17C22semidirect
175. C4×SD16×C17C22semidirect
176. C4×SD16×C17C22semidirect
179. C4×D8×C17C22semidirect
180. C4×D8×C17C22semidirect
181. C4×D8×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×#106C22semidirect
196. C17×#417C22semidirect
197. C17×#417C22semidirect
198. C17×#416C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C4×M16×C17C22semidirect
572. SD16×C17#41semidirect
692. #61507C17direct (N × H)
814. #3517C2×C17semidirect
815. #3513C2×C17semidirect
816. #3399C2×C17semidirect
817. #3388C2×C17semidirect
818. #3371C2×C17semidirect
819. #3366C2×C17semidirect
820. #3351C2×C17semidirect
821. #3345C2×C17semidirect
822. #3345C2×C17semidirect
823. #3332C2×C17semidirect
824. #3322C2×C17semidirect
825. #3318C2×C17semidirect
826. #3317C2×C17semidirect
827. #3309C2×C17semidirect
828. #3306C2×C17semidirect
829. #3274C2×C17semidirect
830. #3268C2×C17semidirect
831. #3268C2×C17semidirect
832. #3179C2×C17semidirect
833. #3176C2×C17semidirect
834. #3171C2×C17semidirect
835. #3125C2×C17semidirect
836. #3122C2×C17semidirect
837. #3119C2×C17semidirect
838. #3119C2×C17semidirect
839. #3111C2×C17semidirect
840. #3109C2×C17semidirect
841. #2967C2×C17semidirect
842. #2952C2×C17semidirect
843. #2946C2×C17semidirect
844. C4×AGL(1,ℤ/8)C2×C17semidirect
902. #557C22×C17semidirect
909. #553C22×C17semidirect
915. #550C22×C17semidirect
916. #550C22×C17semidirect
917. #550C22×C17semidirect
920. #547C22×C17semidirect
929. #540C22×C17semidirect
930. #540C22×C17semidirect
934. #532C22×C17semidirect
941. #520C22×C17semidirect
942. #520C22×C17semidirect
944. C4×#41C22×C17semidirect
946. #501C22×C17semidirect
947. #501C22×C17semidirect
948. #499C22×C17semidirect
949. #496C22×C17semidirect
950. #496C22×C17semidirect
953. #490C22×C17semidirect
954. #490C22×C17semidirect
955. #489C22×C17semidirect
956. #488C22×C17semidirect
957. #486C22×C17semidirect
958. #485C22×C17semidirect
959. #483C22×C17semidirect
961. #482C22×C17semidirect
962. #482C22×C17semidirect
964. #481C22×C17semidirect
965. #481C22×C17semidirect
966. #481C22×C17semidirect
967. #481C22×C17semidirect
968. #480C22×C17semidirect
969. #480C22×C17semidirect
970. #479C22×C17semidirect
971. #479C22×C17semidirect
972. #479C22×C17semidirect
975. #478C22×C17semidirect
976. #478C22×C17semidirect
977. #478C22×C17semidirect
979. #476C22×C17semidirect
980. #476C22×C17semidirect
981. #475C22×C17semidirect
985. #469C22×C17semidirect
986. #469C22×C17semidirect
987. #468C22×C17semidirect
988. #468C22×C17semidirect
989. #468C22×C17semidirect
991. #466C22×C17semidirect
992. #466C22×C17semidirect
993. #465C22×C17semidirect
994. #464C22×C17semidirect
995. #464C22×C17semidirect
996. #463C22×C17semidirect
997. #463C22×C17semidirect
999. #460C22×C17semidirect
1004. #459C22×C17semidirect
1005. #459C22×C17semidirect
1006. #452C22×C17semidirect
1007. #452C22×C17semidirect
1012. #449C22×C17semidirect
1013. #449C22×C17semidirect
1018. #446C22×C17semidirect
1019. #446C22×C17semidirect
1024. #442C22×C17semidirect
1025. #442C22×C17semidirect
1026. #442C22×C17semidirect
1027. #442C22×C17semidirect
1028. #442C22×C17semidirect
1029. #441C22×C17semidirect
1030. #441C22×C17semidirect
1033. #440C22×C17semidirect
1034. #440C22×C17semidirect
1035. #440C22×C17semidirect
1038. C4×SD16C22×C17semidirect
1039. C4×SD16C22×C17semidirect
1040. C4×SD16C22×C17semidirect
1041. C4×SD16C22×C17semidirect
1042. C4×SD16C22×C17semidirect
1045. C4×D8C22×C17semidirect
1046. C4×D8C22×C17semidirect
1047. C4×D8C22×C17semidirect
1049. #436C22×C17semidirect
1051. #435C22×C17semidirect
1052. #435C22×C17semidirect
1053. #435C22×C17semidirect
1054. #433C22×C17semidirect
1055. #433C22×C17semidirect
1056. #432C22×C17semidirect
1057. #428C22×C17semidirect
1058. #428C22×C17semidirect
1059. C2×#106C22×C17semidirect
1062. #417C22×C17semidirect
1063. #417C22×C17semidirect
1064. #416C22×C17semidirect
1066. #405C22×C17semidirect
1067. #405C22×C17semidirect
1068. C4×M16C22×C17semidirect
1359. C17#61507direct (N × H)
1451. SD16#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35172
C17×#35132
C17×#33992
C17×#33882
C17×#33712
C17×#33662
C17×#33512
C17×#33452
C17×#33322
C17×#33222
C17×#33182
C17×#33172
C17×#33092
C17×#33062
C17×#32742
C17×#32682
C17×#31792
C17×#31762
C17×#31712
C17×#31252
C17×#31222
C17×#31192
C17×#31112
C17×#31092
C17×#29672
C17×#29522
C17×#29462
C4×C17×AGL(1,ℤ/8)2
#6150717