Finite Group Databasebeta

← C17×#61536 #16919280

Subgroups — C17×#61536 #16919280

Order 4352.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3521C211yesmaximal, characteristic, complemented
2C17×#3513C211yesmaximal, characteristic, complemented
3C17×#3401C211yesmaximal, characteristic, complemented
4C17×#3389C211yesmaximal, characteristic, complemented
5C17×#3361C211yesmaximal, characteristic, complemented
6C17×#3360C211yesmaximal, characteristic, complemented
7C17×#3349C211yesmaximal, characteristic, complemented
8C17×#3345C211yesmaximal, characteristic, complemented
9C17×#3337C211yesmaximal, characteristic, complemented
10C17×#3330C211yesmaximal, characteristic, complemented
11C17×#3324C211yesmaximal, characteristic, complemented
12C17×#3323C211yesmaximal, characteristic, complemented
13C17×#3323C211yesmaximal, characteristic, complemented
14C17×#3322C211yesmaximal, characteristic, complemented
15C17×#3322C211yesmaximal, characteristic, complemented
16C17×#3280C211yesmaximal, characteristic, complemented
17C17×#3267C211yesmaximal, characteristic, complemented
18C17×#3264C211yesmaximal, characteristic, complemented
19C17×#3183C211yesmaximal, characteristic, complemented
20C17×#3179C211yesmaximal, characteristic, complemented
21C17×#3178C211yesmaximal, characteristic, complemented
22C17×#3124C211yesmaximal, characteristic, complemented
23C17×#3123C211yesmaximal, characteristic, complemented
24C17×#3119C211yesmaximal, characteristic, complemented
25C17×#3118C211yesmaximal, characteristic, complemented
26C17×#3105C211yesmaximal, characteristic, complemented
27C17×#3102C211yesmaximal, characteristic, complemented
28C17×#2969C211yesmaximal, characteristic, complemented
29C17×#2952C211yesmaximal, characteristic, complemented
30C17×#2948C211yesmaximal, characteristic, complemented
31C4×C17×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
32C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C17×#135C2211yescharacteristic
34C22×D8×C17C2211yescharacteristic
35C17×#559C2211yescharacteristic, complemented
36C17×#556C2211yescharacteristic
37C17×#556C2211yescharacteristic, complemented
38C17×#554C2211yescharacteristic, complemented
39C17×#554C2211yescharacteristic, complemented
40C17×#553—21no—
41C17×#553—21no—
42C17×#553C2211yescharacteristic
43C17×#553C2211yescharacteristic, complemented
44C17×#552—21no—
45C17×#552C2211yescharacteristic
46C17×#552C2211yescharacteristic, complemented
47C17×#551—21no—
48C17×#551—21no—
49C17×#551—21no—
50C17×#551—21no—
51C17×#547C2211yescharacteristic, complemented
52C17×#547C2211yescharacteristic, complemented
53C17×#546—21no—
54C17×#546C2211yescharacteristic
55C17×#546C2211yescharacteristic
56C17×#546C2211yescharacteristic, complemented
57C17×#546C2211yescharacteristic, complemented
58D42×C17C2211yescharacteristic
59C17×#542C2211yescharacteristic
60C17×#542C2211yescharacteristic, complemented
61C17×#541C2211yescharacteristic, complemented
62C17×#540C2211yescharacteristic, complemented
63C17×#539—21no—
64C17×#539—21no—
65C17×#538—21no—
66C17×#538—21no—
67C17×#529—21no—
68C17×#529C2211yescharacteristic
69C17×#529C2211yescharacteristic, complemented
70C17×#529C2211yescharacteristic, complemented
71C2×C17×#126—21no—
72C17×#525—21no—
73C2×C17×#123—21no—
74C17×#520C2211yescharacteristic, complemented
75C17×#520C2211yescharacteristic, complemented
76C17×#518C2211yescharacteristic
77C17×#518C2211yescharacteristic, complemented
78C4×#41×C17C2211yescharacteristic, complemented
79C2×C4×D4×C17C2211yescharacteristic, complemented
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#497C2211yescharacteristic, complemented
84C17×#496C2211yescharacteristic
85C17×#495C2211yescharacteristic, complemented
86C17×#488C2211yescharacteristic, complemented
87C17×#488C2211yescharacteristic, complemented
88C17×#488C2211yescharacteristic, complemented
89C17×#488C2211yescharacteristic, complemented
90C17×#487C2211yescharacteristic, complemented
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#485C2211yescharacteristic, complemented
96C17×#484C2211yescharacteristic, complemented
97C17×#484C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic
99C17×#482C2211yescharacteristic, complemented
100C17×#481C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic, complemented
102C17×#480C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic, complemented
108C17×#478C2211yescharacteristic, complemented
109C17×#478C2211yescharacteristic, complemented
110C17×#478C2211yescharacteristic, complemented
111C17×#478C2211yescharacteristic, complemented
112C17×#477C2211yescharacteristic, complemented
113C17×#476C2211yescharacteristic, complemented
114C17×#474C2211yescharacteristic, complemented
115C17×#474C2211yescharacteristic, complemented
116C17×#470C2211yescharacteristic, complemented
117C17×#470C2211yescharacteristic, complemented
118C17×#469C2211yescharacteristic
119C17×#469C2211yescharacteristic, complemented
120C17×#468C2211yescharacteristic
121C17×#468C2211yescharacteristic, complemented
122C17×#468C2211yescharacteristic, complemented
123C17×#468C2211yescharacteristic, complemented
124C17×#467C2211yescharacteristic, complemented
125C17×#466C2211yescharacteristic, complemented
126C17×#465C2211yescharacteristic
127C17×#465C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#464C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic
131C17×#463C2211yescharacteristic
132C17×#463C2211yescharacteristic, complemented
133C17×#463C2211yescharacteristic, complemented
134C17×#463C2211yescharacteristic, complemented
135C17×#463C2211yescharacteristic, complemented
136C17×#461C2211yescharacteristic, complemented
137C17×#461C2211yescharacteristic, complemented
138C17×#460C2211yescharacteristic, complemented
139C17×#459C2211yescharacteristic
140C17×#452C2211yescharacteristic, complemented
141C17×#452C2211yescharacteristic, complemented
142C17×#450C2211yescharacteristic
143C17×#450C2211yescharacteristic
144C17×#450C2211yescharacteristic, complemented
145C17×#450C2211yescharacteristic, complemented
146C17×#449C2211yescharacteristic
147C17×#449C2211yescharacteristic
148C17×#449C2211yescharacteristic, complemented
149C17×#449C2211yescharacteristic, complemented
150C17×#447C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C8×Q8×C17C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#442C2211yescharacteristic, complemented
158C17×#442C2211yescharacteristic, complemented
159C17×#442C2211yescharacteristic, complemented
160C17×#441C2211yescharacteristic, complemented
161C17×#441C2211yescharacteristic, complemented
162C17×#440C2211yescharacteristic, complemented
163C17×#440C2211yescharacteristic, complemented
164C17×#440C2211yescharacteristic, complemented
165C17×#440C2211yescharacteristic, complemented
166C4×Q16×C17C2211yescharacteristic, complemented
167C4×SD16×C17C2211yescharacteristic, complemented
168C4×SD16×C17C2211yescharacteristic, complemented
169C4×SD16×C17C2211yescharacteristic, complemented
170C4×SD16×C17C2211yescharacteristic, complemented
171C4×SD16×C17C2211yescharacteristic, complemented
172C4×SD16×C17C2211yescharacteristic, complemented
173C4×SD16×C17C2211yescharacteristic, complemented
174C4×SD16×C17C2211yescharacteristic, complemented
175C4×D8×C17C2211yescharacteristic
176C4×D8×C17C2211yescharacteristic
177C4×D8×C17C2211yescharacteristic
178C4×D8×C17C2211yescharacteristic, complemented
179C4×D8×C17C2211yescharacteristic, complemented
180C4×D8×C17C2211yescharacteristic, complemented
181C4×D8×C17C2211yescharacteristic, complemented
182C17×#436C2211yescharacteristic
183C17×#436C2211yescharacteristic, complemented
184C17×#436C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic
186C17×#435C2211yescharacteristic, complemented
187C8×D4×C17C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#431C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C17×#427C2211yescharacteristic, complemented
193C2×C17×#106C2211yescharacteristic, complemented
194C17×#418C2211yescharacteristic
195C17×#418C2211yescharacteristic, complemented
196C17×#418C2211yescharacteristic, complemented
197C17×#417C2211yescharacteristic, complemented
198C17×#417C2211yescharacteristic, complemented
199C17×#417C2211yescharacteristic, complemented
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C4×M16×C17C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17C2311yescharacteristic
205C2×#41×C17C2311yescharacteristic
206C2×#41×C17C2311yescharacteristic
207C22×D4×C17—21no—
208C22×D4×C17C2311yescharacteristic
209C22×D4×C17C2311yescharacteristic
210C22×D4×C17C2311yescharacteristic
211C23×C4×C17—21no—
212C17×AGL(1,ℤ/8)—24no—
213C17×#135—24no—
214C2×Q16×C17C2311yescharacteristic
215C2×Q16×C17C2311yescharacteristic
216C2×SD16×C17C2311yescharacteristic
217C2×SD16×C17C2311yescharacteristic
218C2×SD16×C17C2311yescharacteristic
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×D8×C17—24no—
225C2×D8×C17C2311yescharacteristic
226C2×D8×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×#127C2311yescharacteristic
241C17×#126—21no—
242C17×#126—21no—
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×#126D411yescharacteristic
256C17×#126D411yescharacteristic
257C17×#125—21no—
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×#124—21no—
270C17×#124D411yescharacteristic
271C17×#124C2311yescharacteristic
272C17×#124C2311yescharacteristic
273C17×#124C2311yescharacteristic
274C17×#124C2311yescharacteristic
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×#123—21no—
293C17×#123—21no—
294C17×#123—21no—
295C17×#123D411yescharacteristic
296C17×#123D411yescharacteristic
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⋊Q8D411yescharacteristic
308C17×C22⋊Q8C2311yescharacteristic
309C17×C22⋊Q8C2311yescharacteristic
310C17×C22⋊Q8C2311yescharacteristic
311C17×C22⋊Q8C2311yescharacteristic
312C17×C22⋊Q8C2311yescharacteristic
313C17×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
325C17×#121C2311yescharacteristic
326C17×#121C2311yescharacteristic
327C17×#121C2311yescharacteristic
328C17×#121C2311yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#120—21no—
332C17×#120—21no—
333C17×#120—21no—
334C17×#120—21no—
335C17×#120—21no—
336C17×#120—21no—
337C4×Q8×C17—21no—
338C4×Q8×C17C2311yescharacteristic
339C4×Q8×C17C2311yescharacteristic
340C4×Q8×C17C2311yescharacteristic
341C4×Q8×C17C2311yescharacteristic
342C4×Q8×C17C2311yescharacteristic
343C4×Q8×C17C2311yescharacteristic
344C4×Q8×C17C2311yescharacteristic
345C4×D4×C17—21no—
346C4×D4×C17—21no—
347C4×D4×C17—21no—
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×C17C2311yescharacteristic
363C4×D4×C17C2311yescharacteristic
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×#117C2311yescharacteristic
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×C17C2311yescharacteristic
398C2×C4⋊C4×C17C2311yescharacteristic
399C2×C4⋊C4×C17C2311yescharacteristic
400C2×C22⋊C4×C17—21no—
401C2×C22⋊C4×C17—21no—
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×#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
475C4×C8×C17C2311yescharacteristic
476C4×C8×C17C2311yescharacteristic
477C4×C8×C17C2311yescharacteristic
478C4×C8×C17C2311yescharacteristic
479C4×C8×C17C2311yescharacteristic
480C4×C8×C17C2311yescharacteristic
481C24×C17—21no—
482C24×C17—21no—
483C24×C17—21no—
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—82no—
491C2×Q8×C17—21no—
492C2×Q8×C17—21no—
493C2×Q8×C17C2×D411yescharacteristic
494C2×Q8×C17C2411yescharacteristic
495C2×Q8×C17C2411yescharacteristic
496C2×Q8×C17C2411yescharacteristic
497C2×D4×C17—22no—
498C2×D4×C17—22no—
499C2×D4×C17—22no—
500C2×D4×C17—21no—
501C2×D4×C17—21no—
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—41no—
515C2×D4×C17—41no—
516C2×D4×C17—41no—
517C2×D4×C17—82no—
518C2×D4×C17C2×D411yescharacteristic
519C2×D4×C17C2×D411yescharacteristic
520C2×D4×C17C2×D411yescharacteristic
521C2×D4×C17C2411yescharacteristic
522C2×D4×C17C2411yescharacteristic
523C2×D4×C17C2411yescharacteristic
524C2×D4×C17C2411yescharacteristic
525C2×D4×C17C2411yescharacteristic
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—21no—
544C22×C4×C17—21no—
545C22×C4×C17—21no—
546C22×C4×C17—82no—
547C22×C4×C17C2×D411yescharacteristic
548C22×C4×C17C2×D411yescharacteristic
549C22×C4×C17C2411yescharacteristic
550C22×C4×C17C2411yescharacteristic
551C22×C4×C17C2411yescharacteristic
552Q16×C17—22no—
553Q16×C17—41no—
554SD16×C17—22no—
555SD16×C17—22no—
556SD16×C17—22no—
557SD16×C17—22no—
558SD16×C17—41no—
559SD16×C17—41no—
560SD16×C17—41no—
561SD16×C17—41no—
562D8×C17—22no—
563D8×C17—22no—
564D8×C17—22no—
565D8×C17—22no—
566D8×C17—41no—
567D8×C17#4114yescomplemented
568M16×C17—22no—
569M16×C17—41no—
570M16×C17—41no—
571M16×C17—41no—
572C2×C8×C17—22no—
573C2×C8×C17—22no—
574C2×C8×C17C2411yescharacteristic
575C2×C8×C17C2411yescharacteristic
576C2×C8×C17C2411yescharacteristic
577C2×C8×C17C2411yescharacteristic
578C2×C8×C17C2411yescharacteristic
579C2×C8×C17C2411yescharacteristic
580C2×C8×C17C2411yescharacteristic
581C2×C8×C17C2411yescharacteristic
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×C17C2×D411yescharacteristic
610C4⋊C4×C17C2×D411yescharacteristic
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×C17C2411yescharacteristic
620C4⋊C4×C17C2411yescharacteristic
621C4⋊C4×C17C2411yescharacteristic
622C4⋊C4×C17C2411yescharacteristic
623C4⋊C4×C17C2411yescharacteristic
624C4⋊C4×C17C2411yescharacteristic
625C4⋊C4×C17C2411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C22⋊C4×C17—21no—
628C22⋊C4×C17—21no—
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×C17—21no—
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
673C22⋊C4×C17C2×D411yescharacteristic
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#61536C1711yesmaximal, characteristic, direct product factor, Sylow
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—42no—
696C23×C17—42no—
697C23×C17—42no—
698C23×C17—42no—
699C23×C17—81no—
700C23×C17—81no—
701C23×C17—81no—
702C23×C17—81no—
703C23×C17—81no—
704C23×C17C22×D411yescharacteristic
705C23×C17C22×D411yescharacteristic
706C23×C17C22×D411yescharacteristic
707Q8×C17—21no—
708Q8×C17—21no—
709Q8×C17—21no—
710Q8×C17—21no—
711Q8×C17—21no—
712Q8×C17—21no—
713Q8×C17—41no—
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—21no—
723D4×C17—21no—
724D4×C17—41no—
725D4×C17—41no—
726D4×C17—41no—
727D4×C17—42no—
728D4×C17—42no—
729D4×C17—42no—
730D4×C17—42no—
731D4×C17—42no—
732D4×C17—42no—
733D4×C17—42no—
734D4×C17—81no—
735D4×C17—81no—
736D4×C17—81no—
737D4×C17—81no—
738D4×C17—81no—
739D4×C17—81no—
740D4×C17—81no—
741D4×C17C2×#4112yes—
742D4×C17C2×#4112yes—
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—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—41no—
761C2×C4×C17—41no—
762C2×C4×C17—42no—
763C2×C4×C17—42no—
764C2×C4×C17—42no—
765C2×C4×C17—42no—
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×C17—81no—
778C2×C4×C17—81no—
779C2×C4×C17—81no—
780C2×C4×C17—81no—
781C2×C4×C17—81no—
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×C17C22×D411yescharacteristic
789C2×C4×C17C22×D411yescharacteristic
790C2×C4×C17C22×D411yescharacteristic
791C2×C4×C17C22×D411yescharacteristic
792C2×C4×C17C22×D411yescharacteristic
793C2×C4×C17C2511yescharacteristic
794C8×C17—21no—
795C8×C17—21no—
796C8×C17—21no—
797C8×C17—21no—
798C8×C17—21no—
799C8×C17—21no—
800C8×C17—21no—
801C8×C17C2×#4112yes—
802#3521C2×C1711yescharacteristic, complemented
803#3513C2×C1711yescharacteristic, complemented
804#3401C2×C1711yescharacteristic, complemented
805#3389C2×C1711yescharacteristic, complemented
806#3361C2×C1711yescharacteristic, complemented
807#3360C2×C1711yescharacteristic, complemented
808#3349C2×C1711yescharacteristic, complemented
809#3345C2×C1711yescharacteristic, complemented
810#3337C2×C1711yescharacteristic, complemented
811#3330C2×C1711yescharacteristic, complemented
812#3324C2×C1711yescharacteristic, complemented
813#3323C2×C1711yescharacteristic, complemented
814#3323C2×C1711yescharacteristic, complemented
815#3322C2×C1711yescharacteristic, complemented
816#3322C2×C1711yescharacteristic, complemented
817#3280C2×C1711yescharacteristic, complemented
818#3267C2×C1711yescharacteristic, complemented
819#3264C2×C1711yescharacteristic, complemented
820#3183C2×C1711yescharacteristic, complemented
821#3179C2×C1711yescharacteristic, complemented
822#3178C2×C1711yescharacteristic, complemented
823#3124C2×C1711yescharacteristic, complemented
824#3123C2×C1711yescharacteristic, complemented
825#3119C2×C1711yescharacteristic, complemented
826#3118C2×C1711yescharacteristic, complemented
827#3105C2×C1711yescharacteristic, complemented
828#3102C2×C1711yescharacteristic, complemented
829#2969C2×C1711yescharacteristic, complemented
830#2952C2×C1711yescharacteristic, complemented
831#2948C2×C1711yescharacteristic, complemented
832C4×AGL(1,ℤ/8)C2×C1711yescharacteristic, complemented
833C22×C17—21no—
834C22×C17—21no—
835C22×C17—21no—
836C22×C17—21no—
837C22×C17—21no—
838C22×C17—21no—
839C22×C17—21no—
840C22×C17—21no—
841C22×C17—21no—
842C22×C17—22no—
843C22×C17—22no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—84no—
858C22×C17—162no—
859C22×C17—162no—
860C22×C17C23×D411yescharacteristic
861C4×C17—21no—
862C4×C17—21no—
863C4×C17—21no—
864C4×C17—21no—
865C4×C17—21no—
866C4×C17—21no—
867C4×C17—21no—
868C4×C17—21no—
869C4×C17—21no—
870C4×C17—21no—
871C4×C17—21no—
872C4×C17—41no—
873C4×C17—41no—
874C4×C17—41no—
875C4×C17—41no—
876C4×C17—41no—
877C4×C17—41no—
878C4×C17—41no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17C22×#4111yescharacteristic
884C4×C17#58511yescharacteristic
885C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
886C2×#135C22×C1711yescharacteristic
887C22×D8C22×C1711yescharacteristic
888#559C22×C1711yescharacteristic, complemented
889#556C22×C1711yescharacteristic
890#556C22×C1711yescharacteristic, complemented
891#554C22×C1711yescharacteristic, complemented
892#554C22×C1711yescharacteristic, complemented
893#553—21no—
894#553—21no—
895#553C22×C1711yescharacteristic
896#553C22×C1711yescharacteristic, complemented
897#552—21no—
898#552C22×C1711yescharacteristic
899#552C22×C1711yescharacteristic, complemented
900#551—21no—
901#551—21no—
902#551—21no—
903#551—21no—
904#547C22×C1711yescharacteristic, complemented
905#547C22×C1711yescharacteristic, complemented
906#546—21no—
907#546C22×C1711yescharacteristic
908#546C22×C1711yescharacteristic
909#546C22×C1711yescharacteristic, complemented
910#546C22×C1711yescharacteristic, complemented
911D42C22×C1711yescharacteristic
912#542C22×C1711yescharacteristic
913#542C22×C1711yescharacteristic, complemented
914#541C22×C1711yescharacteristic, complemented
915#540C22×C1711yescharacteristic, complemented
916#539—21no—
917#539—21no—
918#538—21no—
919#538—21no—
920#529—21no—
921#529C22×C1711yescharacteristic
922#529C22×C1711yescharacteristic, complemented
923#529C22×C1711yescharacteristic, complemented
924C2×#126—21no—
925#525—21no—
926C2×#123—21no—
927#520C22×C1711yescharacteristic, complemented
928#520C22×C1711yescharacteristic, complemented
929#518C22×C1711yescharacteristic
930#518C22×C1711yescharacteristic, complemented
931C4×#41C22×C1711yescharacteristic, complemented
932C2×C4×D4C22×C1711yescharacteristic, complemented
933#501C22×C1711yescharacteristic, complemented
934#501C22×C1711yescharacteristic, complemented
935#499C22×C1711yescharacteristic, complemented
936#497C22×C1711yescharacteristic, complemented
937#496C22×C1711yescharacteristic
938#495C22×C1711yescharacteristic, complemented
939#488C22×C1711yescharacteristic, complemented
940#488C22×C1711yescharacteristic, complemented
941#488C22×C1711yescharacteristic, complemented
942#488C22×C1711yescharacteristic, complemented
943#487C22×C1711yescharacteristic, complemented
944#486C22×C1711yescharacteristic, complemented
945#485C22×C1711yescharacteristic, complemented
946#485C22×C1711yescharacteristic, complemented
947#485C22×C1711yescharacteristic, complemented
948#485C22×C1711yescharacteristic, complemented
949#484C22×C1711yescharacteristic, complemented
950#484C22×C1711yescharacteristic, complemented
951#482C22×C1711yescharacteristic
952#482C22×C1711yescharacteristic, complemented
953#481C22×C1711yescharacteristic, complemented
954#481C22×C1711yescharacteristic, complemented
955#480C22×C1711yescharacteristic, complemented
956#480C22×C1711yescharacteristic, complemented
957#479C22×C1711yescharacteristic, complemented
958#479C22×C1711yescharacteristic, complemented
959#478C22×C1711yescharacteristic, complemented
960#478C22×C1711yescharacteristic, complemented
961#478C22×C1711yescharacteristic, complemented
962#478C22×C1711yescharacteristic, complemented
963#478C22×C1711yescharacteristic, complemented
964#478C22×C1711yescharacteristic, complemented
965#477C22×C1711yescharacteristic, complemented
966#476C22×C1711yescharacteristic, complemented
967#474C22×C1711yescharacteristic, complemented
968#474C22×C1711yescharacteristic, complemented
969#470C22×C1711yescharacteristic, complemented
970#470C22×C1711yescharacteristic, complemented
971#469C22×C1711yescharacteristic
972#469C22×C1711yescharacteristic, complemented
973#468C22×C1711yescharacteristic
974#468C22×C1711yescharacteristic, complemented
975#468C22×C1711yescharacteristic, complemented
976#468C22×C1711yescharacteristic, complemented
977#467C22×C1711yescharacteristic, complemented
978#466C22×C1711yescharacteristic, complemented
979#465C22×C1711yescharacteristic
980#465C22×C1711yescharacteristic, complemented
981#464C22×C1711yescharacteristic, complemented
982#464C22×C1711yescharacteristic, complemented
983#463C22×C1711yescharacteristic
984#463C22×C1711yescharacteristic
985#463C22×C1711yescharacteristic, complemented
986#463C22×C1711yescharacteristic, complemented
987#463C22×C1711yescharacteristic, complemented
988#463C22×C1711yescharacteristic, complemented
989#461C22×C1711yescharacteristic, complemented
990#461C22×C1711yescharacteristic, complemented
991#460C22×C1711yescharacteristic, complemented
992#459C22×C1711yescharacteristic
993#452C22×C1711yescharacteristic, complemented
994#452C22×C1711yescharacteristic, complemented
995#450C22×C1711yescharacteristic
996#450C22×C1711yescharacteristic
997#450C22×C1711yescharacteristic, complemented
998#450C22×C1711yescharacteristic, complemented
999#449C22×C1711yescharacteristic
1000#449C22×C1711yescharacteristic
1001#449C22×C1711yescharacteristic, complemented
1002#449C22×C1711yescharacteristic, complemented
1003#447C22×C1711yescharacteristic
1004#447C22×C1711yescharacteristic
1005#446C22×C1711yescharacteristic, complemented
1006C8×Q8C22×C1711yescharacteristic, complemented
1007#442C22×C1711yescharacteristic
1008#442C22×C1711yescharacteristic
1009#442C22×C1711yescharacteristic
1010#442C22×C1711yescharacteristic, complemented
1011#442C22×C1711yescharacteristic, complemented
1012#442C22×C1711yescharacteristic, complemented
1013#441C22×C1711yescharacteristic, complemented
1014#441C22×C1711yescharacteristic, complemented
1015#440C22×C1711yescharacteristic, complemented
1016#440C22×C1711yescharacteristic, complemented
1017#440C22×C1711yescharacteristic, complemented
1018#440C22×C1711yescharacteristic, complemented
1019C4×Q16C22×C1711yescharacteristic, complemented
1020C4×SD16C22×C1711yescharacteristic, complemented
1021C4×SD16C22×C1711yescharacteristic, complemented
1022C4×SD16C22×C1711yescharacteristic, complemented
1023C4×SD16C22×C1711yescharacteristic, complemented
1024C4×SD16C22×C1711yescharacteristic, complemented
1025C4×SD16C22×C1711yescharacteristic, complemented
1026C4×SD16C22×C1711yescharacteristic, complemented
1027C4×SD16C22×C1711yescharacteristic, complemented
1028C4×D8C22×C1711yescharacteristic
1029C4×D8C22×C1711yescharacteristic
1030C4×D8C22×C1711yescharacteristic
1031C4×D8C22×C1711yescharacteristic, complemented
1032C4×D8C22×C1711yescharacteristic, complemented
1033C4×D8C22×C1711yescharacteristic, complemented
1034C4×D8C22×C1711yescharacteristic, complemented
1035#436C22×C1711yescharacteristic
1036#436C22×C1711yescharacteristic, complemented
1037#436C22×C1711yescharacteristic, complemented
1038#435C22×C1711yescharacteristic
1039#435C22×C1711yescharacteristic, complemented
1040C8×D4C22×C1711yescharacteristic, complemented
1041#433C22×C1711yescharacteristic, complemented
1042#433C22×C1711yescharacteristic, complemented
1043#431C22×C1711yescharacteristic, complemented
1044#428C22×C1711yescharacteristic, complemented
1045#427C22×C1711yescharacteristic, complemented
1046C2×#106C22×C1711yescharacteristic, complemented
1047#418C22×C1711yescharacteristic
1048#418C22×C1711yescharacteristic, complemented
1049#418C22×C1711yescharacteristic, complemented
1050#417C22×C1711yescharacteristic, complemented
1051#417C22×C1711yescharacteristic, complemented
1052#417C22×C1711yescharacteristic, complemented
1053#405C22×C1711yescharacteristic, complemented
1054#405C22×C1711yescharacteristic, complemented
1055C4×M16C22×C1711yescharacteristic, complemented
1056C2×C17—41no—
1057C2×C17—41no—
1058C2×C17—41no—
1059C2×C17—42no—
1060C2×C17—42no—
1061C2×C17—81no—
1062C2×C17—81no—
1063C2×C17—81no—
1064C2×C17D4×#4111yescharacteristic
1065C2×C17#358411yescharacteristic
1066C2×C17#358511yescharacteristic
1067C2×#41—21no—
1068C2×#41C23×C1711yescharacteristic
1069C2×#41C23×C1711yescharacteristic
1070C2×#41C23×C1711yescharacteristic
1071C22×D4—21no—
1072C22×D4C23×C1711yescharacteristic
1073C22×D4C23×C1711yescharacteristic
1074C22×D4C23×C1711yescharacteristic
1075C23×C4—21no—
1076AGL(1,ℤ/8)—24no—
1077#135—24no—
1078C2×Q16C23×C1711yescharacteristic
1079C2×Q16C23×C1711yescharacteristic
1080C2×SD16C23×C1711yescharacteristic
1081C2×SD16C23×C1711yescharacteristic
1082C2×SD16C23×C1711yescharacteristic
1083C2×SD16C23×C1711yescharacteristic
1084C2×SD16C23×C1711yescharacteristic
1085C2×SD16C23×C1711yescharacteristic
1086C2×SD16C23×C1711yescharacteristic
1087C2×SD16C23×C1711yescharacteristic
1088C2×D8—24no—
1089C2×D8C23×C1711yescharacteristic
1090C2×D8C23×C1711yescharacteristic
1091C2×D8C23×C1711yescharacteristic
1092C2×D8C23×C1711yescharacteristic
1093C2×D8C23×C1711yescharacteristic
1094C2×D8C23×C1711yescharacteristic
1095C2×M16C23×C1711yescharacteristic
1096C2×M16C23×C1711yescharacteristic
1097C2×M16C23×C1711yescharacteristic
1098C2×M16C23×C1711yescharacteristic
1099C22×C8C23×C1711yescharacteristic
1100C22×C8C23×C1711yescharacteristic
1101C4⋊Q8C23×C1711yescharacteristic
1102C4⋊Q8C23×C1711yescharacteristic
1103C4⋊Q8C23×C1711yescharacteristic
1104#127C23×C1711yescharacteristic
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126D4×C1711yescharacteristic
1120#126D4×C1711yescharacteristic
1121#125—21no—
1122#125—21no—
1123#125—21no—
1124#125—21no—
1125#125D4×C1711yescharacteristic
1126#125C23×C1711yescharacteristic
1127#125C23×C1711yescharacteristic
1128#125C23×C1711yescharacteristic
1129#125C23×C1711yescharacteristic
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124—21no—
1134#124D4×C1711yescharacteristic
1135#124C23×C1711yescharacteristic
1136#124C23×C1711yescharacteristic
1137#124C23×C1711yescharacteristic
1138#124C23×C1711yescharacteristic
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#123—21no—
1149#123—21no—
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#123D4×C1711yescharacteristic
1160#123D4×C1711yescharacteristic
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8D4×C1711yescharacteristic
1172C22⋊Q8C23×C1711yescharacteristic
1173C22⋊Q8C23×C1711yescharacteristic
1174C22⋊Q8C23×C1711yescharacteristic
1175C22⋊Q8C23×C1711yescharacteristic
1176C22⋊Q8C23×C1711yescharacteristic
1177C22⋊Q8C23×C1711yescharacteristic
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121D4×C1711yescharacteristic
1189#121C23×C1711yescharacteristic
1190#121C23×C1711yescharacteristic
1191#121C23×C1711yescharacteristic
1192#121C23×C1711yescharacteristic
1193#121C23×C1711yescharacteristic
1194#121C23×C1711yescharacteristic
1195#120—21no—
1196#120—21no—
1197#120—21no—
1198#120—21no—
1199#120—21no—
1200#120—21no—
1201C4×Q8—21no—
1202C4×Q8C23×C1711yescharacteristic
1203C4×Q8C23×C1711yescharacteristic
1204C4×Q8C23×C1711yescharacteristic
1205C4×Q8C23×C1711yescharacteristic
1206C4×Q8C23×C1711yescharacteristic
1207C4×Q8C23×C1711yescharacteristic
1208C4×Q8C23×C1711yescharacteristic
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×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4C23×C1711yescharacteristic
1227C4×D4C23×C1711yescharacteristic
1228C4×D4C23×C1711yescharacteristic
1229C4×D4C23×C1711yescharacteristic
1230C4×D4C23×C1711yescharacteristic
1231C4×D4C23×C1711yescharacteristic
1232C4×D4C23×C1711yescharacteristic
1233C4×D4C23×C1711yescharacteristic
1234C4×D4C23×C1711yescharacteristic
1235C4×D4C23×C1711yescharacteristic
1236C4×D4C23×C1711yescharacteristic
1237C4×D4C23×C1711yescharacteristic
1238C4×D4C23×C1711yescharacteristic
1239C4×D4C23×C1711yescharacteristic
1240C4×D4C23×C1711yescharacteristic
1241C4×D4C23×C1711yescharacteristic
1242C4×D4C23×C1711yescharacteristic
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117C23×C1711yescharacteristic
1252#117C23×C1711yescharacteristic
1253#117C23×C1711yescharacteristic
1254#117C23×C1711yescharacteristic
1255#117C23×C1711yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4—21no—
1259C2×C4⋊C4—21no—
1260C2×C4⋊C4—21no—
1261C2×C4⋊C4C23×C1711yescharacteristic
1262C2×C4⋊C4C23×C1711yescharacteristic
1263C2×C4⋊C4C23×C1711yescharacteristic
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C42—21no—
1274C2×C42C23×C1711yescharacteristic
1275#107C23×C1711yescharacteristic
1276#107C23×C1711yescharacteristic
1277#107C23×C1711yescharacteristic
1278#107C23×C1711yescharacteristic
1279#107C23×C1711yescharacteristic
1280#107C23×C1711yescharacteristic
1281#107C23×C1711yescharacteristic
1282#107C23×C1711yescharacteristic
1283#106C23×C1711yescharacteristic
1284#106C23×C1711yescharacteristic
1285#106C23×C1711yescharacteristic
1286#106C23×C1711yescharacteristic
1287#106C23×C1711yescharacteristic
1288#106C23×C1711yescharacteristic
1289#106C23×C1711yescharacteristic
1290#106C23×C1711yescharacteristic
1291C4⋊C8C23×C1711yescharacteristic
1292C4⋊C8C23×C1711yescharacteristic
1293C4⋊C8C23×C1711yescharacteristic
1294C4⋊C8C23×C1711yescharacteristic
1295C4⋊C8C23×C1711yescharacteristic
1296C4⋊C8C23×C1711yescharacteristic
1297#103C23×C1711yescharacteristic
1298#103C23×C1711yescharacteristic
1299#103C23×C1711yescharacteristic
1300#103C23×C1711yescharacteristic
1301#103C23×C1711yescharacteristic
1302#103C23×C1711yescharacteristic
1303#103C23×C1711yescharacteristic
1304#103C23×C1711yescharacteristic
1305#103C23×C1711yescharacteristic
1306#103C23×C1711yescharacteristic
1307#103C23×C1711yescharacteristic
1308#103C23×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
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
1329C22⋊C8C23×C1711yescharacteristic
1330C22⋊C8C23×C1711yescharacteristic
1331C22⋊C8C23×C1711yescharacteristic
1332C22⋊C8C23×C1711yescharacteristic
1333C22⋊C8C23×C1711yescharacteristic
1334C22⋊C8C23×C1711yescharacteristic
1335#97C23×C1711yescharacteristic
1336#97C23×C1711yescharacteristic
1337#97C23×C1711yescharacteristic
1338#97C23×C1711yescharacteristic
1339C4×C8C23×C1711yescharacteristic
1340C4×C8C23×C1711yescharacteristic
1341C4×C8C23×C1711yescharacteristic
1342C4×C8C23×C1711yescharacteristic
1343C4×C8C23×C1711yescharacteristic
1344C4×C8C23×C1711yescharacteristic
1345C17#6153611yescharacteristic, direct product factor, Sylow
1346C24—21no—
1347C24—21no—
1348C24—21no—
1349#41—22no—
1350#41—22no—
1351#41—22no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355#41—82no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8C2×D4×C1711yescharacteristic
1359C2×Q8C24×C1711yescharacteristic
1360C2×Q8C24×C1711yescharacteristic
1361C2×Q8C24×C1711yescharacteristic
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—82no—
1383C2×D4C2×D4×C1711yescharacteristic
1384C2×D4C2×D4×C1711yescharacteristic
1385C2×D4C2×D4×C1711yescharacteristic
1386C2×D4C24×C1711yescharacteristic
1387C2×D4C24×C1711yescharacteristic
1388C2×D4C24×C1711yescharacteristic
1389C2×D4C24×C1711yescharacteristic
1390C2×D4C24×C1711yescharacteristic
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—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—82no—
1412C22×C4C2×D4×C1711yescharacteristic
1413C22×C4C2×D4×C1711yescharacteristic
1414C22×C4C24×C1711yescharacteristic
1415C22×C4C24×C1711yescharacteristic
1416C22×C4C24×C1711yescharacteristic
1417Q16—22no—
1418Q16—41no—
1419SD16—22no—
1420SD16—22no—
1421SD16—22no—
1422SD16—22no—
1423SD16—41no—
1424SD16—41no—
1425SD16—41no—
1426SD16—41no—
1427D8—22no—
1428D8—22no—
1429D8—22no—
1430D8—22no—
1431D8—41no—
1432D8#41×C1714yescomplemented
1433M16—22no—
1434M16—41no—
1435M16—41no—
1436M16—41no—
1437C2×C8—22no—
1438C2×C8—22no—
1439C2×C8C24×C1711yescharacteristic
1440C2×C8C24×C1711yescharacteristic
1441C2×C8C24×C1711yescharacteristic
1442C2×C8C24×C1711yescharacteristic
1443C2×C8C24×C1711yescharacteristic
1444C2×C8C24×C1711yescharacteristic
1445C2×C8C24×C1711yescharacteristic
1446C2×C8C24×C1711yescharacteristic
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⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4C2×D4×C1711yescharacteristic
1475C4⋊C4C2×D4×C1711yescharacteristic
1476C4⋊C4C2×D4×C1711yescharacteristic
1477C4⋊C4C2×D4×C1711yescharacteristic
1478C4⋊C4C2×D4×C1711yescharacteristic
1479C4⋊C4C2×D4×C1711yescharacteristic
1480C4⋊C4C2×D4×C1711yescharacteristic
1481C4⋊C4C2×D4×C1711yescharacteristic
1482C4⋊C4C2×D4×C1711yescharacteristic
1483C4⋊C4C2×D4×C1711yescharacteristic
1484C4⋊C4C24×C1711yescharacteristic
1485C4⋊C4C24×C1711yescharacteristic
1486C4⋊C4C24×C1711yescharacteristic
1487C4⋊C4C24×C1711yescharacteristic
1488C4⋊C4C24×C1711yescharacteristic
1489C4⋊C4C24×C1711yescharacteristic
1490C4⋊C4C24×C1711yescharacteristic
1491C4⋊C4C24×C1711yescharacteristic
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⋊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⋊C4C2×D4×C1711yescharacteristic
1530C22⋊C4C2×D4×C1711yescharacteristic
1531C22⋊C4C2×D4×C1711yescharacteristic
1532C22⋊C4C2×D4×C1711yescharacteristic
1533C22⋊C4C2×D4×C1711yescharacteristic
1534C22⋊C4C2×D4×C1711yescharacteristic
1535C22⋊C4C2×D4×C1711yescharacteristic
1536C22⋊C4C2×D4×C1711yescharacteristic
1537C22⋊C4C2×D4×C1711yescharacteristic
1538C22⋊C4C2×D4×C1711yescharacteristic
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42C2×D4×C1711yescharacteristic
1549C42C2×D4×C1711yescharacteristic
1550C42C24×C1711yescharacteristic
1551C42C24×C1711yescharacteristic
1552C42C24×C1711yescharacteristic
1553C42C24×C1711yescharacteristic
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—42no—
1563C23—81no—
1564C23—81no—
1565C23—81no—
1566C23—81no—
1567C23—81no—
1568C23C22×D4×C1711yescharacteristic
1569C23C22×D4×C1711yescharacteristic
1570C23C22×D4×C1711yescharacteristic
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—41no—
1578Q8—81no—
1579Q8—81no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—42no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4C2×#41×C1712yes—
1606D4C2×#41×C1712yes—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4C22×D4×C1711yescharacteristic
1647C2×C4C22×D4×C1711yescharacteristic
1648C2×C4C22×D4×C1711yescharacteristic
1649C2×C4C22×D4×C1711yescharacteristic
1650C2×C4C22×D4×C1711yescharacteristic
1651C2×C4C22×D4×C1711yescharacteristic
1652C2×C4C22×D4×C1711yescharacteristic
1653C2×C4C22×D4×C1711yescharacteristic
1654C2×C4C22×D4×C1711yescharacteristic
1655C2×C4C22×D4×C1711yescharacteristic
1656C2×C4C22×D4×C1711yescharacteristic
1657C2×C4C25×C1711yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8C2×#41×C1712yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—22no—
1670C22—22no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—84no—
1691C22—162no—
1692C22—162no—
1693C22C23×D4×C1711yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4C22×#41×C1711yescharacteristic
1717C4C17×#58511yescharacteristic
1718C2—41no—
1719C2—41no—
1720C2—41no—
1721C2—42no—
1722C2—42no—
1723C2—81no—
1724C2—81no—
1725C2—81no—
1726C2D4×#41×C1711yescharacteristic
1727C2C17×#358411yescharacteristic
1728C2C17×#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×#3521C2semidirect
2. C17×#3513C2semidirect
3. C17×#3401C2semidirect
4. C17×#3389C2semidirect
5. C17×#3361C2semidirect
6. C17×#3360C2semidirect
7. C17×#3349C2semidirect
8. C17×#3345C2semidirect
9. C17×#3337C2semidirect
10. C17×#3330C2semidirect
11. C17×#3324C2semidirect
12. C17×#3323C2semidirect
13. C17×#3323C2semidirect
14. C17×#3322C2semidirect
15. C17×#3322C2semidirect
16. C17×#3280C2semidirect
17. C17×#3267C2semidirect
18. C17×#3264C2semidirect
19. C17×#3183C2semidirect
20. C17×#3179C2semidirect
21. C17×#3178C2semidirect
22. C17×#3124C2semidirect
23. C17×#3123C2semidirect
24. C17×#3119C2semidirect
25. C17×#3118C2semidirect
26. C17×#3105C2semidirect
27. C17×#3102C2semidirect
28. C17×#2969C2semidirect
29. C17×#2952C2semidirect
30. C17×#2948C2semidirect
31. C4×C17×AGL(1,ℤ/8)C2semidirect
35. C17×#559C22semidirect
37. C17×#556C22semidirect
38. C17×#554C22semidirect
39. C17×#554C22semidirect
43. C17×#553C22semidirect
46. C17×#552C22semidirect
51. C17×#547C22semidirect
52. C17×#547C22semidirect
56. C17×#546C22semidirect
57. C17×#546C22semidirect
60. C17×#542C22semidirect
61. C17×#541C22semidirect
62. C17×#540C22semidirect
69. C17×#529C22semidirect
70. C17×#529C22semidirect
74. C17×#520C22semidirect
75. C17×#520C22semidirect
77. C17×#518C22semidirect
78. C4×#41×C17C22semidirect
79. C2×C4×D4×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
83. C17×#497C22semidirect
85. C17×#495C22semidirect
86. C17×#488C22semidirect
87. C17×#488C22semidirect
88. C17×#488C22semidirect
89. C17×#488C22semidirect
90. C17×#487C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#485C22semidirect
96. C17×#484C22semidirect
97. C17×#484C22semidirect
99. C17×#482C22semidirect
100. C17×#481C22semidirect
101. C17×#481C22semidirect
102. C17×#480C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
106. C17×#478C22semidirect
107. C17×#478C22semidirect
108. C17×#478C22semidirect
109. C17×#478C22semidirect
110. C17×#478C22semidirect
111. C17×#478C22semidirect
112. C17×#477C22semidirect
113. C17×#476C22semidirect
114. C17×#474C22semidirect
115. C17×#474C22semidirect
116. C17×#470C22semidirect
117. C17×#470C22semidirect
119. C17×#469C22semidirect
121. C17×#468C22semidirect
122. C17×#468C22semidirect
123. C17×#468C22semidirect
124. C17×#467C22semidirect
125. C17×#466C22semidirect
127. C17×#465C22semidirect
128. C17×#464C22semidirect
129. C17×#464C22semidirect
132. C17×#463C22semidirect
133. C17×#463C22semidirect
134. C17×#463C22semidirect
135. C17×#463C22semidirect
136. C17×#461C22semidirect
137. C17×#461C22semidirect
138. C17×#460C22semidirect
140. C17×#452C22semidirect
141. C17×#452C22semidirect
144. C17×#450C22semidirect
145. C17×#450C22semidirect
148. C17×#449C22semidirect
149. C17×#449C22semidirect
152. C17×#446C22semidirect
153. C8×Q8×C17C22semidirect
157. C17×#442C22semidirect
158. C17×#442C22semidirect
159. C17×#442C22semidirect
160. C17×#441C22semidirect
161. C17×#441C22semidirect
162. C17×#440C22semidirect
163. C17×#440C22semidirect
164. C17×#440C22semidirect
165. C17×#440C22semidirect
166. C4×Q16×C17C22semidirect
167. C4×SD16×C17C22semidirect
168. C4×SD16×C17C22semidirect
169. C4×SD16×C17C22semidirect
170. C4×SD16×C17C22semidirect
171. C4×SD16×C17C22semidirect
172. C4×SD16×C17C22semidirect
173. C4×SD16×C17C22semidirect
174. C4×SD16×C17C22semidirect
178. C4×D8×C17C22semidirect
179. C4×D8×C17C22semidirect
180. C4×D8×C17C22semidirect
181. C4×D8×C17C22semidirect
183. C17×#436C22semidirect
184. C17×#436C22semidirect
186. C17×#435C22semidirect
187. C8×D4×C17C22semidirect
188. C17×#433C22semidirect
189. C17×#433C22semidirect
190. C17×#431C22semidirect
191. C17×#428C22semidirect
192. C17×#427C22semidirect
193. C2×C17×#106C22semidirect
195. C17×#418C22semidirect
196. C17×#418C22semidirect
197. C17×#417C22semidirect
198. C17×#417C22semidirect
199. C17×#417C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C4×M16×C17C22semidirect
567. D8×C17#41semidirect
689. #61536C17direct (N × H)
802. #3521C2×C17semidirect
803. #3513C2×C17semidirect
804. #3401C2×C17semidirect
805. #3389C2×C17semidirect
806. #3361C2×C17semidirect
807. #3360C2×C17semidirect
808. #3349C2×C17semidirect
809. #3345C2×C17semidirect
810. #3337C2×C17semidirect
811. #3330C2×C17semidirect
812. #3324C2×C17semidirect
813. #3323C2×C17semidirect
814. #3323C2×C17semidirect
815. #3322C2×C17semidirect
816. #3322C2×C17semidirect
817. #3280C2×C17semidirect
818. #3267C2×C17semidirect
819. #3264C2×C17semidirect
820. #3183C2×C17semidirect
821. #3179C2×C17semidirect
822. #3178C2×C17semidirect
823. #3124C2×C17semidirect
824. #3123C2×C17semidirect
825. #3119C2×C17semidirect
826. #3118C2×C17semidirect
827. #3105C2×C17semidirect
828. #3102C2×C17semidirect
829. #2969C2×C17semidirect
830. #2952C2×C17semidirect
831. #2948C2×C17semidirect
832. C4×AGL(1,ℤ/8)C2×C17semidirect
888. #559C22×C17semidirect
890. #556C22×C17semidirect
891. #554C22×C17semidirect
892. #554C22×C17semidirect
896. #553C22×C17semidirect
899. #552C22×C17semidirect
904. #547C22×C17semidirect
905. #547C22×C17semidirect
909. #546C22×C17semidirect
910. #546C22×C17semidirect
913. #542C22×C17semidirect
914. #541C22×C17semidirect
915. #540C22×C17semidirect
922. #529C22×C17semidirect
923. #529C22×C17semidirect
927. #520C22×C17semidirect
928. #520C22×C17semidirect
930. #518C22×C17semidirect
931. C4×#41C22×C17semidirect
932. C2×C4×D4C22×C17semidirect
933. #501C22×C17semidirect
934. #501C22×C17semidirect
935. #499C22×C17semidirect
936. #497C22×C17semidirect
938. #495C22×C17semidirect
939. #488C22×C17semidirect
940. #488C22×C17semidirect
941. #488C22×C17semidirect
942. #488C22×C17semidirect
943. #487C22×C17semidirect
944. #486C22×C17semidirect
945. #485C22×C17semidirect
946. #485C22×C17semidirect
947. #485C22×C17semidirect
948. #485C22×C17semidirect
949. #484C22×C17semidirect
950. #484C22×C17semidirect
952. #482C22×C17semidirect
953. #481C22×C17semidirect
954. #481C22×C17semidirect
955. #480C22×C17semidirect
956. #480C22×C17semidirect
957. #479C22×C17semidirect
958. #479C22×C17semidirect
959. #478C22×C17semidirect
960. #478C22×C17semidirect
961. #478C22×C17semidirect
962. #478C22×C17semidirect
963. #478C22×C17semidirect
964. #478C22×C17semidirect
965. #477C22×C17semidirect
966. #476C22×C17semidirect
967. #474C22×C17semidirect
968. #474C22×C17semidirect
969. #470C22×C17semidirect
970. #470C22×C17semidirect
972. #469C22×C17semidirect
974. #468C22×C17semidirect
975. #468C22×C17semidirect
976. #468C22×C17semidirect
977. #467C22×C17semidirect
978. #466C22×C17semidirect
980. #465C22×C17semidirect
981. #464C22×C17semidirect
982. #464C22×C17semidirect
985. #463C22×C17semidirect
986. #463C22×C17semidirect
987. #463C22×C17semidirect
988. #463C22×C17semidirect
989. #461C22×C17semidirect
990. #461C22×C17semidirect
991. #460C22×C17semidirect
993. #452C22×C17semidirect
994. #452C22×C17semidirect
997. #450C22×C17semidirect
998. #450C22×C17semidirect
1001. #449C22×C17semidirect
1002. #449C22×C17semidirect
1005. #446C22×C17semidirect
1006. C8×Q8C22×C17semidirect
1010. #442C22×C17semidirect
1011. #442C22×C17semidirect
1012. #442C22×C17semidirect
1013. #441C22×C17semidirect
1014. #441C22×C17semidirect
1015. #440C22×C17semidirect
1016. #440C22×C17semidirect
1017. #440C22×C17semidirect
1018. #440C22×C17semidirect
1019. C4×Q16C22×C17semidirect
1020. C4×SD16C22×C17semidirect
1021. C4×SD16C22×C17semidirect
1022. C4×SD16C22×C17semidirect
1023. C4×SD16C22×C17semidirect
1024. C4×SD16C22×C17semidirect
1025. C4×SD16C22×C17semidirect
1026. C4×SD16C22×C17semidirect
1027. C4×SD16C22×C17semidirect
1031. C4×D8C22×C17semidirect
1032. C4×D8C22×C17semidirect
1033. C4×D8C22×C17semidirect
1034. C4×D8C22×C17semidirect
1036. #436C22×C17semidirect
1037. #436C22×C17semidirect
1039. #435C22×C17semidirect
1040. C8×D4C22×C17semidirect
1041. #433C22×C17semidirect
1042. #433C22×C17semidirect
1043. #431C22×C17semidirect
1044. #428C22×C17semidirect
1045. #427C22×C17semidirect
1046. C2×#106C22×C17semidirect
1048. #418C22×C17semidirect
1049. #418C22×C17semidirect
1050. #417C22×C17semidirect
1051. #417C22×C17semidirect
1052. #417C22×C17semidirect
1053. #405C22×C17semidirect
1054. #405C22×C17semidirect
1055. C4×M16C22×C17semidirect
1345. C17#61536direct (N × H)
1432. 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×#35132
C17×#34012
C17×#33892
C17×#33612
C17×#33602
C17×#33492
C17×#33452
C17×#33372
C17×#33302
C17×#33242
C17×#33232
C17×#33222
C17×#32802
C17×#32672
C17×#32642
C17×#31832
C17×#31792
C17×#31782
C17×#31242
C17×#31232
C17×#31192
C17×#31182
C17×#31052
C17×#31022
C17×#29692
C17×#29522
C17×#29482
C4×C17×AGL(1,ℤ/8)2
#6153617