Finite Group Databasebeta

← C17×#61506 #16919250

Subgroups — C17×#61506 #16919250

Order 4352.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3521C211yesmaximal, characteristic, complemented
2C17×#3519C211yesmaximal, characteristic, complemented
3C17×#3397C211yesmaximal, characteristic, complemented
4C17×#3389C211yesmaximal, characteristic, complemented
5C17×#3376C211yesmaximal, characteristic, complemented
6C17×#3366C211yesmaximal, characteristic, complemented
7C17×#3355C211yesmaximal, characteristic, complemented
8C17×#3350C211yesmaximal, characteristic, complemented
9C17×#3348C211yesmaximal, characteristic, complemented
10C17×#3324C211yesmaximal, characteristic, complemented
11C17×#3322C211yesmaximal, characteristic, complemented
12C17×#3319C211yesmaximal, characteristic, complemented
13C17×#3318C211yesmaximal, characteristic, complemented
14C17×#3310C211yesmaximal, characteristic, complemented
15C17×#3307C211yesmaximal, characteristic, complemented
16C17×#3272C211yesmaximal, characteristic, complemented
17C17×#3264C211yesmaximal, characteristic, complemented
18C17×#3264C211yesmaximal, characteristic, complemented
19C17×#3179C211yesmaximal, characteristic, complemented
20C17×#3174C211yesmaximal, characteristic, complemented
21C17×#3171C211yesmaximal, characteristic, complemented
22C17×#3123C211yesmaximal, characteristic, complemented
23C17×#3122C211yesmaximal, characteristic, complemented
24C17×#3119C211yesmaximal, characteristic, complemented
25C17×#3118C211yesmaximal, characteristic, complemented
26C17×#3115C211yesmaximal, characteristic, complemented
27C17×#3114C211yesmaximal, characteristic, complemented
28C17×#2967C211yesmaximal, characteristic, complemented
29C17×#2948C211yesmaximal, 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
34C22×D8×C17C2211yescharacteristic
35C17×#556C2211yescharacteristic, complemented
36C17×#556C2211yescharacteristic, complemented
37C17×#555C2211yescharacteristic
38C17×#554C2211yescharacteristic, complemented
39C17×#554C2211yescharacteristic, complemented
40C17×#553—21no—
41C17×#553—21no—
42C17×#553C2211yescharacteristic
43C17×#553C2211yescharacteristic, complemented
44C17×#553C2211yescharacteristic, complemented
45C17×#552—21no—
46C17×#552C2211yescharacteristic, complemented
47C17×#551—21no—
48C17×#551—21no—
49C17×#550C2211yescharacteristic, complemented
50C17×#547C2211yescharacteristic, complemented
51C17×#546—21no—
52C17×#546—21no—
53C17×#546—21no—
54C17×#546C2211yescharacteristic, complemented
55C17×#546C2211yescharacteristic, complemented
56D42×C17C2211yescharacteristic
57D42×C17C2211yescharacteristic
58D42×C17C2211yescharacteristic, complemented
59C17×#542C2211yescharacteristic, complemented
60C17×#541C2211yescharacteristic, complemented
61C17×#540C2211yescharacteristic
62C17×#540C2211yescharacteristic, complemented
63C17×#539—21no—
64C17×#538—21no—
65C17×#538—21no—
66C17×#538—21no—
67C17×#532C2211yescharacteristic, complemented
68C17×#529—21no—
69C17×#529C2211yescharacteristic
70C17×#529C2211yescharacteristic, complemented
71C2×C17×#126—21no—
72C17×#525—21no—
73C2×C17×#121—21no—
74C17×#520C2211yescharacteristic, complemented
75C17×#518C2211yescharacteristic
76C17×#518C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic, complemented
78C4×#41×C17C2211yescharacteristic, complemented
79C2×C4×D4×C17C2211yescharacteristic, complemented
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#496C2211yescharacteristic, complemented
84C17×#496C2211yescharacteristic, complemented
85C17×#492C2211yescharacteristic, complemented
86C17×#491C2211yescharacteristic, complemented
87C17×#490C2211yescharacteristic, complemented
88C17×#490C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#483C2211yescharacteristic, complemented
96C17×#482C2211yescharacteristic, complemented
97C17×#482C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic, complemented
99C17×#482C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic, complemented
102C17×#480C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#478C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic, complemented
108C17×#478C2211yescharacteristic, complemented
109C17×#478C2211yescharacteristic, complemented
110C17×#478C2211yescharacteristic, complemented
111C17×#478C2211yescharacteristic, complemented
112C17×#476C2211yescharacteristic, complemented
113C17×#475C2211yescharacteristic, complemented
114C17×#474C2211yescharacteristic, complemented
115C17×#474C2211yescharacteristic, complemented
116C17×#469C2211yescharacteristic, complemented
117C17×#469C2211yescharacteristic, complemented
118C17×#469C2211yescharacteristic, complemented
119C17×#468C2211yescharacteristic, complemented
120C17×#468C2211yescharacteristic, complemented
121C17×#468C2211yescharacteristic, complemented
122C17×#468C2211yescharacteristic, complemented
123C17×#468C2211yescharacteristic, complemented
124C17×#466C2211yescharacteristic, complemented
125C17×#465C2211yescharacteristic, complemented
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#463C2211yescharacteristic
129C17×#463C2211yescharacteristic
130C17×#463C2211yescharacteristic, complemented
131C17×#463C2211yescharacteristic, complemented
132C17×#461C2211yescharacteristic, complemented
133C17×#461C2211yescharacteristic, complemented
134C17×#460C2211yescharacteristic, complemented
135C17×#460C2211yescharacteristic, complemented
136C17×#459C2211yescharacteristic, complemented
137C17×#459C2211yescharacteristic, complemented
138C17×#459C2211yescharacteristic, complemented
139C17×#459C2211yescharacteristic, complemented
140C17×#450C2211yescharacteristic
141C17×#450C2211yescharacteristic
142C17×#450C2211yescharacteristic, complemented
143C17×#450C2211yescharacteristic, complemented
144C17×#449C2211yescharacteristic, complemented
145C17×#449C2211yescharacteristic, complemented
146C17×#449C2211yescharacteristic, complemented
147C17×#449C2211yescharacteristic, complemented
148C17×#447C2211yescharacteristic
149C17×#447C2211yescharacteristic
150C17×#447C2211yescharacteristic, complemented
151C17×#447C2211yescharacteristic, complemented
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×#440C2211yescharacteristic, complemented
164C17×#440C2211yescharacteristic, complemented
165C17×#440C2211yescharacteristic, complemented
166C17×#440C2211yescharacteristic, complemented
167C17×#440C2211yescharacteristic, complemented
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, 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, complemented
178C4×D8×C17C2211yescharacteristic, complemented
179C4×D8×C17C2211yescharacteristic, complemented
180C4×D8×C17C2211yescharacteristic, complemented
181C4×D8×C17C2211yescharacteristic, complemented
182C17×#436C2211yescharacteristic, complemented
183C17×#436C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C17×#435C2211yescharacteristic, complemented
187C17×#435C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#432C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C17×#428C2211yescharacteristic, complemented
193C17×#427C2211yescharacteristic, complemented
194C17×#418C2211yescharacteristic
195C17×#418C2211yescharacteristic, complemented
196C17×#418C2211yescharacteristic, complemented
197C17×#417C2211yescharacteristic, complemented
198C17×#416C2211yescharacteristic, complemented
199C2×C17×#102C2211yescharacteristic, complemented
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C4×M16×C17C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17—21no—
205C2×#41×C17C2311yescharacteristic
206C2×#41×C17C2311yescharacteristic
207C22×D4×C17—21no—
208C22×D4×C17—21no—
209C22×D4×C17—21no—
210C22×D4×C17C2311yescharacteristic
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C22×D4×C17C2311yescharacteristic
214C23×C4×C17—21no—
215C17×AGL(1,ℤ/8)—24no—
216C17×AGL(1,ℤ/8)—24no—
217C2×SD16×C17C2311yescharacteristic
218C2×SD16×C17C2311yescharacteristic
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×D8×C17—24no—
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⋊Q8C2311yescharacteristic
241C17×C4⋊Q8C2311yescharacteristic
242C17×C4⋊Q8C2311yescharacteristic
243C17×#127C2311yescharacteristic
244C17×#127C2311yescharacteristic
245C17×#127C2311yescharacteristic
246C17×#126—21no—
247C17×#126—21no—
248C17×#126—21no—
249C17×#126—21no—
250C17×#126—21no—
251C17×#126—21no—
252C17×#126—21no—
253C17×#126—21no—
254C17×#126—21no—
255C17×#126—21no—
256C17×#126—21no—
257C17×#126—21no—
258C17×#126D411yescharacteristic
259C17×#126D411yescharacteristic
260C17×#125—21no—
261C17×#125—21no—
262C17×#125—21no—
263C17×#125D411yescharacteristic
264C17×#125C2311yescharacteristic
265C17×#125C2311yescharacteristic
266C17×#125C2311yescharacteristic
267C17×#125C2311yescharacteristic
268C17×#124—21no—
269C17×#124—21no—
270C17×#124—21no—
271C17×#124—21no—
272C17×#124—21no—
273C17×#124D411yescharacteristic
274C17×#124C2311yescharacteristic
275C17×#124C2311yescharacteristic
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×#123D411yescharacteristic
291C17×#123D411yescharacteristic
292C17×C22⋊Q8—21no—
293C17×C22⋊Q8—21no—
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×C22⋊Q8C2311yescharacteristic
304C17×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
324C17×#121C2311yescharacteristic
325C17×#121C2311yescharacteristic
326C17×#121C2311yescharacteristic
327C17×#121C2311yescharacteristic
328C17×#121C2311yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#121C2311yescharacteristic
332C17×#120—21no—
333C17×#120—21no—
334C17×#120—21no—
335C17×#120—21no—
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×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×C17—21no—
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
379C4×D4×C17C2311yescharacteristic
380C4×D4×C17C2311yescharacteristic
381C4×D4×C17C2311yescharacteristic
382C17×#117—21no—
383C17×#117—21no—
384C17×#117—21no—
385C17×#117—21no—
386C17×#117—21no—
387C17×#117—21no—
388C17×#117C2311yescharacteristic
389C17×#117C2311yescharacteristic
390C17×#117C2311yescharacteristic
391C17×#117C2311yescharacteristic
392C17×#117C2311yescharacteristic
393C17×#117C2311yescharacteristic
394C2×C4⋊C4×C17—21no—
395C2×C4⋊C4×C17—21no—
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17—21no—
398C2×C4⋊C4×C17C2311yescharacteristic
399C2×C4⋊C4×C17C2311yescharacteristic
400C2×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×#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—
483C24×C17—21no—
484C24×C17—21no—
485#41×C17—22no—
486#41×C17—22no—
487#41×C17—41no—
488#41×C17—41no—
489#41×C17—82no—
490#41×C17—82no—
491C2×Q8×C17—21no—
492C2×Q8×C17—21no—
493C2×Q8×C17C2×D411yescharacteristic
494C2×Q8×C17C2411yescharacteristic
495C2×Q8×C17C2411yescharacteristic
496C2×D4×C17—22no—
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—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—21no—
518C2×D4×C17—21no—
519C2×D4×C17—21no—
520C2×D4×C17—41no—
521C2×D4×C17—41no—
522C2×D4×C17—41no—
523C2×D4×C17—41no—
524C2×D4×C17—82no—
525C2×D4×C17—82no—
526C2×D4×C17—82no—
527C2×D4×C17C2×D411yescharacteristic
528C2×D4×C17C2×D411yescharacteristic
529C2×D4×C17C2×D411yescharacteristic
530C2×D4×C17C2411yescharacteristic
531C2×D4×C17C2411yescharacteristic
532C2×D4×C17C2411yescharacteristic
533C2×D4×C17C2411yescharacteristic
534C2×D4×C17C2411yescharacteristic
535C2×D4×C17C2411yescharacteristic
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—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—82no—
557C22×C4×C17C2×D411yescharacteristic
558C22×C4×C17C2×D411yescharacteristic
559C22×C4×C17C2411yescharacteristic
560C22×C4×C17C2411yescharacteristic
561C22×C4×C17C2411yescharacteristic
562SD16×C17—22no—
563SD16×C17—22no—
564SD16×C17—22no—
565SD16×C17—22no—
566SD16×C17—41no—
567SD16×C17—41no—
568SD16×C17—41no—
569SD16×C17—41no—
570D8×C17—22no—
571D8×C17—22no—
572D8×C17—22no—
573D8×C17—22no—
574D8×C17—22no—
575D8×C17—41no—
576D8×C17—41no—
577D8×C17#4114yescomplemented
578M16×C17—22no—
579M16×C17—22no—
580M16×C17—41no—
581M16×C17—41no—
582C2×C8×C17—22no—
583C2×C8×C17—41no—
584C2×C8×C17C2411yescharacteristic
585C2×C8×C17C2411yescharacteristic
586C2×C8×C17C2411yescharacteristic
587C2×C8×C17C2411yescharacteristic
588C2×C8×C17C2411yescharacteristic
589C2×C8×C17C2411yescharacteristic
590C2×C8×C17C2411yescharacteristic
591C2×C8×C17C2411yescharacteristic
592C4⋊C4×C17—21no—
593C4⋊C4×C17—21no—
594C4⋊C4×C17—21no—
595C4⋊C4×C17—21no—
596C4⋊C4×C17—21no—
597C4⋊C4×C17—21no—
598C4⋊C4×C17—21no—
599C4⋊C4×C17—21no—
600C4⋊C4×C17—21no—
601C4⋊C4×C17—21no—
602C4⋊C4×C17—21no—
603C4⋊C4×C17—21no—
604C4⋊C4×C17—21no—
605C4⋊C4×C17—21no—
606C4⋊C4×C17—21no—
607C4⋊C4×C17—21no—
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17—21no—
614C4⋊C4×C17C2×D411yescharacteristic
615C4⋊C4×C17C2×D411yescharacteristic
616C4⋊C4×C17C2×D411yescharacteristic
617C4⋊C4×C17C2×D411yescharacteristic
618C4⋊C4×C17C2×D411yescharacteristic
619C4⋊C4×C17C2×D411yescharacteristic
620C4⋊C4×C17C2×D411yescharacteristic
621C4⋊C4×C17C2×D411yescharacteristic
622C4⋊C4×C17C2×D411yescharacteristic
623C4⋊C4×C17C2×D411yescharacteristic
624C4⋊C4×C17C2411yescharacteristic
625C4⋊C4×C17C2411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C4⋊C4×C17C2411yescharacteristic
628C4⋊C4×C17C2411yescharacteristic
629C4⋊C4×C17C2411yescharacteristic
630C4⋊C4×C17C2411yescharacteristic
631C4⋊C4×C17C2411yescharacteristic
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×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#61506C1711yesmaximal, 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—42no—
703C23×C17—42no—
704C23×C17—81no—
705C23×C17—81no—
706C23×C17—81no—
707C23×C17—81no—
708C23×C17—81no—
709C23×C17—81no—
710C23×C17—81no—
711C23×C17C22×D411yescharacteristic
712C23×C17C22×D411yescharacteristic
713C23×C17C22×D411yescharacteristic
714Q8×C17—21no—
715Q8×C17—21no—
716Q8×C17—21no—
717Q8×C17—21no—
718Q8×C17—41no—
719Q8×C17—81no—
720Q8×C17—81no—
721D4×C17—21no—
722D4×C17—21no—
723D4×C17—21no—
724D4×C17—21no—
725D4×C17—21no—
726D4×C17—21no—
727D4×C17—21no—
728D4×C17—21no—
729D4×C17—21no—
730D4×C17—21no—
731D4×C17—41no—
732D4×C17—41no—
733D4×C17—41no—
734D4×C17—42no—
735D4×C17—42no—
736D4×C17—42no—
737D4×C17—42no—
738D4×C17—42no—
739D4×C17—42no—
740D4×C17—42no—
741D4×C17—42no—
742D4×C17—42no—
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×C17—81no—
754D4×C17C2×#4112yes—
755D4×C17C2×#4112yes—
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—21no—
771C2×C4×C17—21no—
772C2×C4×C17—41no—
773C2×C4×C17—41no—
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#3521C2×C1711yescharacteristic, complemented
815#3519C2×C1711yescharacteristic, complemented
816#3397C2×C1711yescharacteristic, complemented
817#3389C2×C1711yescharacteristic, complemented
818#3376C2×C1711yescharacteristic, complemented
819#3366C2×C1711yescharacteristic, complemented
820#3355C2×C1711yescharacteristic, complemented
821#3350C2×C1711yescharacteristic, complemented
822#3348C2×C1711yescharacteristic, complemented
823#3324C2×C1711yescharacteristic, complemented
824#3322C2×C1711yescharacteristic, complemented
825#3319C2×C1711yescharacteristic, complemented
826#3318C2×C1711yescharacteristic, complemented
827#3310C2×C1711yescharacteristic, complemented
828#3307C2×C1711yescharacteristic, complemented
829#3272C2×C1711yescharacteristic, complemented
830#3264C2×C1711yescharacteristic, complemented
831#3264C2×C1711yescharacteristic, complemented
832#3179C2×C1711yescharacteristic, complemented
833#3174C2×C1711yescharacteristic, complemented
834#3171C2×C1711yescharacteristic, complemented
835#3123C2×C1711yescharacteristic, complemented
836#3122C2×C1711yescharacteristic, complemented
837#3119C2×C1711yescharacteristic, complemented
838#3118C2×C1711yescharacteristic, complemented
839#3115C2×C1711yescharacteristic, complemented
840#3114C2×C1711yescharacteristic, complemented
841#2967C2×C1711yescharacteristic, complemented
842#2948C2×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—22no—
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×C17—162no—
875C22×C17—162no—
876C22×C17C23×D411yescharacteristic
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—21no—
887C4×C17—21no—
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×C17—41no—
897C4×C17—41no—
898C4×C17C22×#4111yescharacteristic
899C4×C17#58511yescharacteristic
900C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
901C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
902C22×D8C22×C1711yescharacteristic
903#556C22×C1711yescharacteristic, complemented
904#556C22×C1711yescharacteristic, complemented
905#555C22×C1711yescharacteristic
906#554C22×C1711yescharacteristic, complemented
907#554C22×C1711yescharacteristic, complemented
908#553—21no—
909#553—21no—
910#553C22×C1711yescharacteristic
911#553C22×C1711yescharacteristic, complemented
912#553C22×C1711yescharacteristic, complemented
913#552—21no—
914#552C22×C1711yescharacteristic, complemented
915#551—21no—
916#551—21no—
917#550C22×C1711yescharacteristic, complemented
918#547C22×C1711yescharacteristic, complemented
919#546—21no—
920#546—21no—
921#546—21no—
922#546C22×C1711yescharacteristic, complemented
923#546C22×C1711yescharacteristic, complemented
924D42C22×C1711yescharacteristic
925D42C22×C1711yescharacteristic
926D42C22×C1711yescharacteristic, complemented
927#542C22×C1711yescharacteristic, complemented
928#541C22×C1711yescharacteristic, complemented
929#540C22×C1711yescharacteristic
930#540C22×C1711yescharacteristic, complemented
931#539—21no—
932#538—21no—
933#538—21no—
934#538—21no—
935#532C22×C1711yescharacteristic, complemented
936#529—21no—
937#529C22×C1711yescharacteristic
938#529C22×C1711yescharacteristic, complemented
939C2×#126—21no—
940#525—21no—
941C2×#121—21no—
942#520C22×C1711yescharacteristic, complemented
943#518C22×C1711yescharacteristic
944#518C22×C1711yescharacteristic, complemented
945#518C22×C1711yescharacteristic, complemented
946C4×#41C22×C1711yescharacteristic, complemented
947C2×C4×D4C22×C1711yescharacteristic, complemented
948#501C22×C1711yescharacteristic, complemented
949#501C22×C1711yescharacteristic, complemented
950#499C22×C1711yescharacteristic, complemented
951#496C22×C1711yescharacteristic, complemented
952#496C22×C1711yescharacteristic, complemented
953#492C22×C1711yescharacteristic, complemented
954#491C22×C1711yescharacteristic, complemented
955#490C22×C1711yescharacteristic, complemented
956#490C22×C1711yescharacteristic, complemented
957#489C22×C1711yescharacteristic, complemented
958#488C22×C1711yescharacteristic, complemented
959#486C22×C1711yescharacteristic, complemented
960#485C22×C1711yescharacteristic, complemented
961#485C22×C1711yescharacteristic, complemented
962#485C22×C1711yescharacteristic, complemented
963#483C22×C1711yescharacteristic, complemented
964#482C22×C1711yescharacteristic, complemented
965#482C22×C1711yescharacteristic, complemented
966#482C22×C1711yescharacteristic, complemented
967#482C22×C1711yescharacteristic, complemented
968#482C22×C1711yescharacteristic, complemented
969#481C22×C1711yescharacteristic, complemented
970#480C22×C1711yescharacteristic, complemented
971#480C22×C1711yescharacteristic, complemented
972#479C22×C1711yescharacteristic, complemented
973#478C22×C1711yescharacteristic, complemented
974#478C22×C1711yescharacteristic, complemented
975#478C22×C1711yescharacteristic, complemented
976#478C22×C1711yescharacteristic, complemented
977#478C22×C1711yescharacteristic, complemented
978#478C22×C1711yescharacteristic, complemented
979#478C22×C1711yescharacteristic, complemented
980#476C22×C1711yescharacteristic, complemented
981#475C22×C1711yescharacteristic, complemented
982#474C22×C1711yescharacteristic, complemented
983#474C22×C1711yescharacteristic, complemented
984#469C22×C1711yescharacteristic, complemented
985#469C22×C1711yescharacteristic, complemented
986#469C22×C1711yescharacteristic, complemented
987#468C22×C1711yescharacteristic, complemented
988#468C22×C1711yescharacteristic, complemented
989#468C22×C1711yescharacteristic, complemented
990#468C22×C1711yescharacteristic, complemented
991#468C22×C1711yescharacteristic, complemented
992#466C22×C1711yescharacteristic, complemented
993#465C22×C1711yescharacteristic, complemented
994#465C22×C1711yescharacteristic, complemented
995#465C22×C1711yescharacteristic, complemented
996#463C22×C1711yescharacteristic
997#463C22×C1711yescharacteristic
998#463C22×C1711yescharacteristic, complemented
999#463C22×C1711yescharacteristic, complemented
1000#461C22×C1711yescharacteristic, complemented
1001#461C22×C1711yescharacteristic, complemented
1002#460C22×C1711yescharacteristic, complemented
1003#460C22×C1711yescharacteristic, complemented
1004#459C22×C1711yescharacteristic, complemented
1005#459C22×C1711yescharacteristic, complemented
1006#459C22×C1711yescharacteristic, complemented
1007#459C22×C1711yescharacteristic, complemented
1008#450C22×C1711yescharacteristic
1009#450C22×C1711yescharacteristic
1010#450C22×C1711yescharacteristic, complemented
1011#450C22×C1711yescharacteristic, complemented
1012#449C22×C1711yescharacteristic, complemented
1013#449C22×C1711yescharacteristic, complemented
1014#449C22×C1711yescharacteristic, complemented
1015#449C22×C1711yescharacteristic, complemented
1016#447C22×C1711yescharacteristic
1017#447C22×C1711yescharacteristic
1018#447C22×C1711yescharacteristic, complemented
1019#447C22×C1711yescharacteristic, complemented
1020#446C22×C1711yescharacteristic, complemented
1021#446C22×C1711yescharacteristic, complemented
1022#442C22×C1711yescharacteristic
1023#442C22×C1711yescharacteristic
1024#442C22×C1711yescharacteristic
1025#442C22×C1711yescharacteristic
1026#442C22×C1711yescharacteristic, complemented
1027#442C22×C1711yescharacteristic, complemented
1028#442C22×C1711yescharacteristic, complemented
1029#442C22×C1711yescharacteristic, complemented
1030#442C22×C1711yescharacteristic, complemented
1031#440C22×C1711yescharacteristic, complemented
1032#440C22×C1711yescharacteristic, complemented
1033#440C22×C1711yescharacteristic, complemented
1034#440C22×C1711yescharacteristic, complemented
1035#440C22×C1711yescharacteristic, complemented
1036#440C22×C1711yescharacteristic, complemented
1037#440C22×C1711yescharacteristic, complemented
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
1048C4×D8C22×C1711yescharacteristic, complemented
1049C4×D8C22×C1711yescharacteristic, complemented
1050#436C22×C1711yescharacteristic, complemented
1051#436C22×C1711yescharacteristic, complemented
1052#435C22×C1711yescharacteristic, complemented
1053#435C22×C1711yescharacteristic, complemented
1054#435C22×C1711yescharacteristic, complemented
1055#435C22×C1711yescharacteristic, complemented
1056#433C22×C1711yescharacteristic, complemented
1057#433C22×C1711yescharacteristic, complemented
1058#432C22×C1711yescharacteristic, complemented
1059#428C22×C1711yescharacteristic, complemented
1060#428C22×C1711yescharacteristic, complemented
1061#427C22×C1711yescharacteristic, complemented
1062#418C22×C1711yescharacteristic
1063#418C22×C1711yescharacteristic, complemented
1064#418C22×C1711yescharacteristic, complemented
1065#417C22×C1711yescharacteristic, complemented
1066#416C22×C1711yescharacteristic, complemented
1067C2×#102C22×C1711yescharacteristic, complemented
1068#405C22×C1711yescharacteristic, complemented
1069#405C22×C1711yescharacteristic, complemented
1070C4×M16C22×C1711yescharacteristic, complemented
1071C2×C17—41no—
1072C2×C17—41no—
1073C2×C17—41no—
1074C2×C17—42no—
1075C2×C17—42no—
1076C2×C17—81no—
1077C2×C17—81no—
1078C2×C17—81no—
1079C2×C17—81no—
1080C2×C17D4×#4111yescharacteristic
1081C2×C17#358511yescharacteristic
1082C2×C17#358511yescharacteristic
1083C2×#41—21no—
1084C2×#41—21no—
1085C2×#41C23×C1711yescharacteristic
1086C2×#41C23×C1711yescharacteristic
1087C22×D4—21no—
1088C22×D4—21no—
1089C22×D4—21no—
1090C22×D4C23×C1711yescharacteristic
1091C22×D4C23×C1711yescharacteristic
1092C22×D4C23×C1711yescharacteristic
1093C22×D4C23×C1711yescharacteristic
1094C23×C4—21no—
1095AGL(1,ℤ/8)—24no—
1096AGL(1,ℤ/8)—24no—
1097C2×SD16C23×C1711yescharacteristic
1098C2×SD16C23×C1711yescharacteristic
1099C2×SD16C23×C1711yescharacteristic
1100C2×SD16C23×C1711yescharacteristic
1101C2×SD16C23×C1711yescharacteristic
1102C2×SD16C23×C1711yescharacteristic
1103C2×SD16C23×C1711yescharacteristic
1104C2×SD16C23×C1711yescharacteristic
1105C2×D8—24no—
1106C2×D8C23×C1711yescharacteristic
1107C2×D8C23×C1711yescharacteristic
1108C2×D8C23×C1711yescharacteristic
1109C2×D8C23×C1711yescharacteristic
1110C2×D8C23×C1711yescharacteristic
1111C2×D8C23×C1711yescharacteristic
1112C2×D8C23×C1711yescharacteristic
1113C2×D8C23×C1711yescharacteristic
1114C2×M16C23×C1711yescharacteristic
1115C2×M16C23×C1711yescharacteristic
1116C2×M16C23×C1711yescharacteristic
1117C2×M16C23×C1711yescharacteristic
1118C22×C8C23×C1711yescharacteristic
1119C22×C8C23×C1711yescharacteristic
1120C4⋊Q8C23×C1711yescharacteristic
1121C4⋊Q8C23×C1711yescharacteristic
1122C4⋊Q8C23×C1711yescharacteristic
1123#127C23×C1711yescharacteristic
1124#127C23×C1711yescharacteristic
1125#127C23×C1711yescharacteristic
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126D4×C1711yescharacteristic
1139#126D4×C1711yescharacteristic
1140#125—21no—
1141#125—21no—
1142#125—21no—
1143#125D4×C1711yescharacteristic
1144#125C23×C1711yescharacteristic
1145#125C23×C1711yescharacteristic
1146#125C23×C1711yescharacteristic
1147#125C23×C1711yescharacteristic
1148#124—21no—
1149#124—21no—
1150#124—21no—
1151#124—21no—
1152#124—21no—
1153#124D4×C1711yescharacteristic
1154#124C23×C1711yescharacteristic
1155#124C23×C1711yescharacteristic
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⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8D4×C1711yescharacteristic
1181C22⋊Q8C23×C1711yescharacteristic
1182C22⋊Q8C23×C1711yescharacteristic
1183C22⋊Q8C23×C1711yescharacteristic
1184C22⋊Q8C23×C1711yescharacteristic
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#120—21no—
1213#120—21no—
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219#120—21no—
1220C4×Q8—21no—
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×D4C23×C1711yescharacteristic
1244C4×D4C23×C1711yescharacteristic
1245C4×D4C23×C1711yescharacteristic
1246C4×D4C23×C1711yescharacteristic
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
1262#117—21no—
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117C23×C1711yescharacteristic
1269#117C23×C1711yescharacteristic
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×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C42—21no—
1290C2×C42C23×C1711yescharacteristic
1291#107C23×C1711yescharacteristic
1292#107C23×C1711yescharacteristic
1293#107C23×C1711yescharacteristic
1294#107C23×C1711yescharacteristic
1295#107C23×C1711yescharacteristic
1296#107C23×C1711yescharacteristic
1297#107C23×C1711yescharacteristic
1298#107C23×C1711yescharacteristic
1299#106C23×C1711yescharacteristic
1300#106C23×C1711yescharacteristic
1301#106C23×C1711yescharacteristic
1302#106C23×C1711yescharacteristic
1303#106C23×C1711yescharacteristic
1304#106C23×C1711yescharacteristic
1305#106C23×C1711yescharacteristic
1306#106C23×C1711yescharacteristic
1307C4⋊C8C23×C1711yescharacteristic
1308C4⋊C8C23×C1711yescharacteristic
1309C4⋊C8C23×C1711yescharacteristic
1310C4⋊C8C23×C1711yescharacteristic
1311C4⋊C8C23×C1711yescharacteristic
1312C4⋊C8C23×C1711yescharacteristic
1313#103C23×C1711yescharacteristic
1314#103C23×C1711yescharacteristic
1315#103C23×C1711yescharacteristic
1316#103C23×C1711yescharacteristic
1317#103C23×C1711yescharacteristic
1318#103C23×C1711yescharacteristic
1319#103C23×C1711yescharacteristic
1320#103C23×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
1343#102C23×C1711yescharacteristic
1344#102C23×C1711yescharacteristic
1345C22⋊C8C23×C1711yescharacteristic
1346C22⋊C8C23×C1711yescharacteristic
1347C22⋊C8C23×C1711yescharacteristic
1348C22⋊C8C23×C1711yescharacteristic
1349C22⋊C8C23×C1711yescharacteristic
1350C22⋊C8C23×C1711yescharacteristic
1351#97C23×C1711yescharacteristic
1352#97C23×C1711yescharacteristic
1353#97C23×C1711yescharacteristic
1354#97C23×C1711yescharacteristic
1355#97C23×C1711yescharacteristic
1356#97C23×C1711yescharacteristic
1357C4×C8C23×C1711yescharacteristic
1358C4×C8C23×C1711yescharacteristic
1359C4×C8C23×C1711yescharacteristic
1360C4×C8C23×C1711yescharacteristic
1361C17#6150611yescharacteristic, direct product factor, Sylow
1362C24—21no—
1363C24—21no—
1364C24—21no—
1365C24—21no—
1366#41—22no—
1367#41—22no—
1368#41—41no—
1369#41—41no—
1370#41—82no—
1371#41—82no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8C2×D4×C1711yescharacteristic
1375C2×Q8C24×C1711yescharacteristic
1376C2×Q8C24×C1711yescharacteristic
1377C2×D4—22no—
1378C2×D4—22no—
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—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—82no—
1406C2×D4—82no—
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—82no—
1438C22×C4C2×D4×C1711yescharacteristic
1439C22×C4C2×D4×C1711yescharacteristic
1440C22×C4C24×C1711yescharacteristic
1441C22×C4C24×C1711yescharacteristic
1442C22×C4C24×C1711yescharacteristic
1443SD16—22no—
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—41no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451D8—22no—
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—22no—
1456D8—41no—
1457D8—41no—
1458D8#41×C1714yescomplemented
1459M16—22no—
1460M16—22no—
1461M16—41no—
1462M16—41no—
1463C2×C8—22no—
1464C2×C8—41no—
1465C2×C8C24×C1711yescharacteristic
1466C2×C8C24×C1711yescharacteristic
1467C2×C8C24×C1711yescharacteristic
1468C2×C8C24×C1711yescharacteristic
1469C2×C8C24×C1711yescharacteristic
1470C2×C8C24×C1711yescharacteristic
1471C2×C8C24×C1711yescharacteristic
1472C2×C8C24×C1711yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
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⋊C4C2×D4×C1711yescharacteristic
1496C4⋊C4C2×D4×C1711yescharacteristic
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⋊C4C24×C1711yescharacteristic
1506C4⋊C4C24×C1711yescharacteristic
1507C4⋊C4C24×C1711yescharacteristic
1508C4⋊C4C24×C1711yescharacteristic
1509C4⋊C4C24×C1711yescharacteristic
1510C4⋊C4C24×C1711yescharacteristic
1511C4⋊C4C24×C1711yescharacteristic
1512C4⋊C4C24×C1711yescharacteristic
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⋊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⋊C4—21no—
1548C22⋊C4—21no—
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
1557C22⋊C4C2×D4×C1711yescharacteristic
1558C22⋊C4C2×D4×C1711yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C1711yescharacteristic
1568C42C2×D4×C1711yescharacteristic
1569C42C24×C1711yescharacteristic
1570C42C24×C1711yescharacteristic
1571C42C24×C1711yescharacteristic
1572C42C24×C1711yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—42no—
1580C23—42no—
1581C23—42no—
1582C23—42no—
1583C23—42no—
1584C23—81no—
1585C23—81no—
1586C23—81no—
1587C23—81no—
1588C23—81no—
1589C23—81no—
1590C23—81no—
1591C23C22×D4×C1711yescharacteristic
1592C23C22×D4×C1711yescharacteristic
1593C23C22×D4×C1711yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—41no—
1599Q8—81no—
1600Q8—81no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—21no—
1611D4—41no—
1612D4—41no—
1613D4—41no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4C2×#41×C1712yes—
1635D4C2×#41×C1712yes—
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—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
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×C4—81no—
1673C2×C4—81no—
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×C4C22×D4×C1711yescharacteristic
1684C2×C4C22×D4×C1711yescharacteristic
1685C2×C4C25×C1711yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8C2×#41×C1712yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—22no—
1698C22—22no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
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—41no—
1720C22—41no—
1721C22—84no—
1722C22—162no—
1723C22—162no—
1724C22—162no—
1725C22C23×D4×C1711yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4C22×#41×C1711yescharacteristic
1748C4C17×#58511yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—41no—
1752C2—42no—
1753C2—42no—
1754C2—81no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2D4×#41×C1711yescharacteristic
1759C2C17×#358511yescharacteristic
1760C2C17×#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×#3519C2semidirect
3. C17×#3397C2semidirect
4. C17×#3389C2semidirect
5. C17×#3376C2semidirect
6. C17×#3366C2semidirect
7. C17×#3355C2semidirect
8. C17×#3350C2semidirect
9. C17×#3348C2semidirect
10. C17×#3324C2semidirect
11. C17×#3322C2semidirect
12. C17×#3319C2semidirect
13. C17×#3318C2semidirect
14. C17×#3310C2semidirect
15. C17×#3307C2semidirect
16. C17×#3272C2semidirect
17. C17×#3264C2semidirect
18. C17×#3264C2semidirect
19. C17×#3179C2semidirect
20. C17×#3174C2semidirect
21. C17×#3171C2semidirect
22. C17×#3123C2semidirect
23. C17×#3122C2semidirect
24. C17×#3119C2semidirect
25. C17×#3118C2semidirect
26. C17×#3115C2semidirect
27. C17×#3114C2semidirect
28. C17×#2967C2semidirect
29. C17×#2948C2semidirect
30. C17×#2946C2semidirect
31. C4×C17×AGL(1,ℤ/8)C2semidirect
35. C17×#556C22semidirect
36. C17×#556C22semidirect
38. C17×#554C22semidirect
39. C17×#554C22semidirect
43. C17×#553C22semidirect
44. C17×#553C22semidirect
46. C17×#552C22semidirect
49. C17×#550C22semidirect
50. C17×#547C22semidirect
54. C17×#546C22semidirect
55. C17×#546C22semidirect
58. D42×C17C22semidirect
59. C17×#542C22semidirect
60. C17×#541C22semidirect
62. C17×#540C22semidirect
67. C17×#532C22semidirect
70. C17×#529C22semidirect
74. C17×#520C22semidirect
76. C17×#518C22semidirect
77. C17×#518C22semidirect
78. C4×#41×C17C22semidirect
79. C2×C4×D4×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
83. C17×#496C22semidirect
84. C17×#496C22semidirect
85. C17×#492C22semidirect
86. C17×#491C22semidirect
87. C17×#490C22semidirect
88. C17×#490C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#483C22semidirect
96. C17×#482C22semidirect
97. C17×#482C22semidirect
98. C17×#482C22semidirect
99. C17×#482C22semidirect
100. C17×#482C22semidirect
101. C17×#481C22semidirect
102. C17×#480C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#478C22semidirect
106. C17×#478C22semidirect
107. C17×#478C22semidirect
108. C17×#478C22semidirect
109. C17×#478C22semidirect
110. C17×#478C22semidirect
111. C17×#478C22semidirect
112. C17×#476C22semidirect
113. C17×#475C22semidirect
114. C17×#474C22semidirect
115. C17×#474C22semidirect
116. C17×#469C22semidirect
117. C17×#469C22semidirect
118. C17×#469C22semidirect
119. C17×#468C22semidirect
120. C17×#468C22semidirect
121. C17×#468C22semidirect
122. C17×#468C22semidirect
123. C17×#468C22semidirect
124. C17×#466C22semidirect
125. C17×#465C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
130. C17×#463C22semidirect
131. C17×#463C22semidirect
132. C17×#461C22semidirect
133. C17×#461C22semidirect
134. C17×#460C22semidirect
135. C17×#460C22semidirect
136. C17×#459C22semidirect
137. C17×#459C22semidirect
138. C17×#459C22semidirect
139. C17×#459C22semidirect
142. C17×#450C22semidirect
143. C17×#450C22semidirect
144. C17×#449C22semidirect
145. C17×#449C22semidirect
146. C17×#449C22semidirect
147. C17×#449C22semidirect
150. C17×#447C22semidirect
151. C17×#447C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
158. C17×#442C22semidirect
159. C17×#442C22semidirect
160. C17×#442C22semidirect
161. C17×#442C22semidirect
162. C17×#442C22semidirect
163. C17×#440C22semidirect
164. C17×#440C22semidirect
165. C17×#440C22semidirect
166. C17×#440C22semidirect
167. C17×#440C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
170. C4×SD16×C17C22semidirect
171. C4×SD16×C17C22semidirect
172. C4×SD16×C17C22semidirect
173. C4×SD16×C17C22semidirect
174. C4×SD16×C17C22semidirect
177. C4×D8×C17C22semidirect
178. C4×D8×C17C22semidirect
179. C4×D8×C17C22semidirect
180. C4×D8×C17C22semidirect
181. C4×D8×C17C22semidirect
182. C17×#436C22semidirect
183. C17×#436C22semidirect
184. C17×#435C22semidirect
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. C17×#427C22semidirect
195. C17×#418C22semidirect
196. C17×#418C22semidirect
197. C17×#417C22semidirect
198. C17×#416C22semidirect
199. C2×C17×#102C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C4×M16×C17C22semidirect
577. D8×C17#41semidirect
692. #61506C17direct (N × H)
814. #3521C2×C17semidirect
815. #3519C2×C17semidirect
816. #3397C2×C17semidirect
817. #3389C2×C17semidirect
818. #3376C2×C17semidirect
819. #3366C2×C17semidirect
820. #3355C2×C17semidirect
821. #3350C2×C17semidirect
822. #3348C2×C17semidirect
823. #3324C2×C17semidirect
824. #3322C2×C17semidirect
825. #3319C2×C17semidirect
826. #3318C2×C17semidirect
827. #3310C2×C17semidirect
828. #3307C2×C17semidirect
829. #3272C2×C17semidirect
830. #3264C2×C17semidirect
831. #3264C2×C17semidirect
832. #3179C2×C17semidirect
833. #3174C2×C17semidirect
834. #3171C2×C17semidirect
835. #3123C2×C17semidirect
836. #3122C2×C17semidirect
837. #3119C2×C17semidirect
838. #3118C2×C17semidirect
839. #3115C2×C17semidirect
840. #3114C2×C17semidirect
841. #2967C2×C17semidirect
842. #2948C2×C17semidirect
843. #2946C2×C17semidirect
844. C4×AGL(1,ℤ/8)C2×C17semidirect
903. #556C22×C17semidirect
904. #556C22×C17semidirect
906. #554C22×C17semidirect
907. #554C22×C17semidirect
911. #553C22×C17semidirect
912. #553C22×C17semidirect
914. #552C22×C17semidirect
917. #550C22×C17semidirect
918. #547C22×C17semidirect
922. #546C22×C17semidirect
923. #546C22×C17semidirect
926. D42C22×C17semidirect
927. #542C22×C17semidirect
928. #541C22×C17semidirect
930. #540C22×C17semidirect
935. #532C22×C17semidirect
938. #529C22×C17semidirect
942. #520C22×C17semidirect
944. #518C22×C17semidirect
945. #518C22×C17semidirect
946. C4×#41C22×C17semidirect
947. C2×C4×D4C22×C17semidirect
948. #501C22×C17semidirect
949. #501C22×C17semidirect
950. #499C22×C17semidirect
951. #496C22×C17semidirect
952. #496C22×C17semidirect
953. #492C22×C17semidirect
954. #491C22×C17semidirect
955. #490C22×C17semidirect
956. #490C22×C17semidirect
957. #489C22×C17semidirect
958. #488C22×C17semidirect
959. #486C22×C17semidirect
960. #485C22×C17semidirect
961. #485C22×C17semidirect
962. #485C22×C17semidirect
963. #483C22×C17semidirect
964. #482C22×C17semidirect
965. #482C22×C17semidirect
966. #482C22×C17semidirect
967. #482C22×C17semidirect
968. #482C22×C17semidirect
969. #481C22×C17semidirect
970. #480C22×C17semidirect
971. #480C22×C17semidirect
972. #479C22×C17semidirect
973. #478C22×C17semidirect
974. #478C22×C17semidirect
975. #478C22×C17semidirect
976. #478C22×C17semidirect
977. #478C22×C17semidirect
978. #478C22×C17semidirect
979. #478C22×C17semidirect
980. #476C22×C17semidirect
981. #475C22×C17semidirect
982. #474C22×C17semidirect
983. #474C22×C17semidirect
984. #469C22×C17semidirect
985. #469C22×C17semidirect
986. #469C22×C17semidirect
987. #468C22×C17semidirect
988. #468C22×C17semidirect
989. #468C22×C17semidirect
990. #468C22×C17semidirect
991. #468C22×C17semidirect
992. #466C22×C17semidirect
993. #465C22×C17semidirect
994. #465C22×C17semidirect
995. #465C22×C17semidirect
998. #463C22×C17semidirect
999. #463C22×C17semidirect
1000. #461C22×C17semidirect
1001. #461C22×C17semidirect
1002. #460C22×C17semidirect
1003. #460C22×C17semidirect
1004. #459C22×C17semidirect
1005. #459C22×C17semidirect
1006. #459C22×C17semidirect
1007. #459C22×C17semidirect
1010. #450C22×C17semidirect
1011. #450C22×C17semidirect
1012. #449C22×C17semidirect
1013. #449C22×C17semidirect
1014. #449C22×C17semidirect
1015. #449C22×C17semidirect
1018. #447C22×C17semidirect
1019. #447C22×C17semidirect
1020. #446C22×C17semidirect
1021. #446C22×C17semidirect
1026. #442C22×C17semidirect
1027. #442C22×C17semidirect
1028. #442C22×C17semidirect
1029. #442C22×C17semidirect
1030. #442C22×C17semidirect
1031. #440C22×C17semidirect
1032. #440C22×C17semidirect
1033. #440C22×C17semidirect
1034. #440C22×C17semidirect
1035. #440C22×C17semidirect
1036. #440C22×C17semidirect
1037. #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
1048. C4×D8C22×C17semidirect
1049. C4×D8C22×C17semidirect
1050. #436C22×C17semidirect
1051. #436C22×C17semidirect
1052. #435C22×C17semidirect
1053. #435C22×C17semidirect
1054. #435C22×C17semidirect
1055. #435C22×C17semidirect
1056. #433C22×C17semidirect
1057. #433C22×C17semidirect
1058. #432C22×C17semidirect
1059. #428C22×C17semidirect
1060. #428C22×C17semidirect
1061. #427C22×C17semidirect
1063. #418C22×C17semidirect
1064. #418C22×C17semidirect
1065. #417C22×C17semidirect
1066. #416C22×C17semidirect
1067. C2×#102C22×C17semidirect
1068. #405C22×C17semidirect
1069. #405C22×C17semidirect
1070. C4×M16C22×C17semidirect
1361. C17#61506direct (N × H)
1458. 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×#35192
C17×#33972
C17×#33892
C17×#33762
C17×#33662
C17×#33552
C17×#33502
C17×#33482
C17×#33242
C17×#33222
C17×#33192
C17×#33182
C17×#33102
C17×#33072
C17×#32722
C17×#32642
C17×#31792
C17×#31742
C17×#31712
C17×#31232
C17×#31222
C17×#31192
C17×#31182
C17×#31152
C17×#31142
C17×#29672
C17×#29482
C17×#29462
C4×C17×AGL(1,ℤ/8)2
#6150617