Finite Group Databasebeta

← C17×#61535 #16919279

Subgroups — C17×#61535 #16919279

Order 4352.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3524C211yesmaximal, characteristic, complemented
2C17×#3513C211yesmaximal, characteristic, complemented
3C17×#3403C211yesmaximal, characteristic, complemented
4C17×#3388C211yesmaximal, characteristic, complemented
5C17×#3365C211yesmaximal, characteristic, complemented
6C17×#3361C211yesmaximal, characteristic, complemented
7C17×#3348C211yesmaximal, characteristic, complemented
8C17×#3343C211yesmaximal, characteristic, complemented
9C17×#3339C211yesmaximal, characteristic, complemented
10C17×#3332C211yesmaximal, characteristic, complemented
11C17×#3327C211yesmaximal, characteristic, complemented
12C17×#3326C211yesmaximal, characteristic, complemented
13C17×#3325C211yesmaximal, characteristic, complemented
14C17×#3323C211yesmaximal, characteristic, complemented
15C17×#3322C211yesmaximal, characteristic, complemented
16C17×#3282C211yesmaximal, characteristic, complemented
17C17×#3268C211yesmaximal, characteristic, complemented
18C17×#3265C211yesmaximal, characteristic, complemented
19C17×#3183C211yesmaximal, characteristic, complemented
20C17×#3179C211yesmaximal, characteristic, complemented
21C17×#3179C211yesmaximal, characteristic, complemented
22C17×#3125C211yesmaximal, characteristic, complemented
23C17×#3122C211yesmaximal, characteristic, complemented
24C17×#3121C211yesmaximal, characteristic, complemented
25C17×#3119C211yesmaximal, characteristic, complemented
26C17×#3105C211yesmaximal, characteristic, complemented
27C17×#3102C211yesmaximal, characteristic, complemented
28C17×#2969C211yesmaximal, characteristic, complemented
29C17×#2951C211yesmaximal, characteristic, complemented
30C17×#2949C211yesmaximal, characteristic, complemented
31C4×C17×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
32C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C17×#135C2211yescharacteristic
34C22×SD16×C17C2211yescharacteristic
35C17×#559—21no—
36C17×#559C2211yescharacteristic
37C17×#559C2211yescharacteristic, complemented
38C17×#557C2211yescharacteristic, complemented
39C17×#555—21no—
40C17×#555C2211yescharacteristic
41C17×#554C2211yescharacteristic
42C17×#553—21no—
43C17×#553—21no—
44C17×#553C2211yescharacteristic
45C17×#553C2211yescharacteristic, complemented
46C17×#552—21no—
47C17×#552C2211yescharacteristic
48C17×#552C2211yescharacteristic, complemented
49C17×#551—21no—
50C17×#551—21no—
51C17×#550C2211yescharacteristic, complemented
52C17×#548C2211yescharacteristic
53C17×#548C2211yescharacteristic, complemented
54C17×#547C2211yescharacteristic
55C17×#546—21no—
56C17×#546C2211yescharacteristic
57C17×#546C2211yescharacteristic
58D42×C17C2211yescharacteristic
59C17×#542—21no—
60C17×#542C2211yescharacteristic
61C17×#542C2211yescharacteristic, complemented
62C17×#540—21no—
63C17×#540C2211yescharacteristic
64C17×#540C2211yescharacteristic, complemented
65C17×#539—21no—
66C17×#538—21no—
67C17×#529—21no—
68C17×#529—21no—
69C17×#529C2211yescharacteristic
70C17×#529C2211yescharacteristic
71C17×#529C2211yescharacteristic, complemented
72C17×#525—21no—
73C2×C17×#123—21no—
74C17×#520C2211yescharacteristic
75C17×#520C2211yescharacteristic, complemented
76C17×#519C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic
78C4×#41×C17C2211yescharacteristic, complemented
79C2×C4×D4×C17C2211yescharacteristic
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#496C2211yescharacteristic
84C17×#496C2211yescharacteristic, complemented
85C17×#495C2211yescharacteristic, complemented
86C17×#488C2211yescharacteristic, complemented
87C17×#488C2211yescharacteristic, complemented
88C17×#488C2211yescharacteristic, complemented
89C17×#488C2211yescharacteristic, complemented
90C17×#486C2211yescharacteristic
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#484C2211yescharacteristic, complemented
95C17×#483C2211yescharacteristic, complemented
96C17×#482C2211yescharacteristic
97C17×#482C2211yescharacteristic
98C17×#482C2211yescharacteristic, complemented
99C17×#482C2211yescharacteristic, complemented
100C17×#481C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic, complemented
102C17×#481C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic
107C17×#478C2211yescharacteristic
108C17×#478C2211yescharacteristic, complemented
109C17×#478C2211yescharacteristic, complemented
110C17×#478C2211yescharacteristic, complemented
111C17×#478C2211yescharacteristic, complemented
112C17×#477C2211yescharacteristic, complemented
113C17×#476C2211yescharacteristic
114C17×#475C2211yescharacteristic, complemented
115C17×#475C2211yescharacteristic, complemented
116C17×#470C2211yescharacteristic, complemented
117C17×#469C2211yescharacteristic
118C17×#469C2211yescharacteristic
119C17×#469C2211yescharacteristic, complemented
120C17×#468C2211yescharacteristic
121C17×#468C2211yescharacteristic, complemented
122C17×#468C2211yescharacteristic, complemented
123C17×#468C2211yescharacteristic, complemented
124C17×#466C2211yescharacteristic
125C17×#466C2211yescharacteristic, complemented
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#464C2211yescharacteristic, complemented
130C17×#464C2211yescharacteristic, complemented
131C17×#464C2211yescharacteristic, complemented
132C17×#463C2211yescharacteristic
133C17×#463C2211yescharacteristic
134C17×#463C2211yescharacteristic, complemented
135C17×#463C2211yescharacteristic, complemented
136C17×#460C2211yescharacteristic
137C17×#459C2211yescharacteristic
138C17×#459C2211yescharacteristic
139C17×#459C2211yescharacteristic, complemented
140C17×#452C2211yescharacteristic
141C17×#452C2211yescharacteristic, complemented
142C17×#451C2211yescharacteristic, complemented
143C17×#450C2211yescharacteristic
144C17×#449C2211yescharacteristic
145C17×#449C2211yescharacteristic
146C17×#449C2211yescharacteristic, complemented
147C17×#449C2211yescharacteristic, complemented
148C17×#448C2211yescharacteristic
149C17×#447C2211yescharacteristic
150C17×#447C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C8×Q8×C17C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic, complemented
156C17×#442C2211yescharacteristic, complemented
157C17×#441C2211yescharacteristic, complemented
158C17×#440C2211yescharacteristic
159C17×#440C2211yescharacteristic
160C17×#440C2211yescharacteristic
161C17×#440C2211yescharacteristic, complemented
162C17×#440C2211yescharacteristic, complemented
163C17×#440C2211yescharacteristic, complemented
164C17×#440C2211yescharacteristic, complemented
165C17×#440C2211yescharacteristic, complemented
166C4×Q16×C17C2211yescharacteristic, complemented
167C4×Q16×C17C2211yescharacteristic, complemented
168C4×SD16×C17C2211yescharacteristic
169C4×SD16×C17C2211yescharacteristic
170C4×SD16×C17C2211yescharacteristic
171C4×SD16×C17C2211yescharacteristic, complemented
172C4×SD16×C17C2211yescharacteristic, complemented
173C4×SD16×C17C2211yescharacteristic, complemented
174C4×SD16×C17C2211yescharacteristic, complemented
175C4×SD16×C17C2211yescharacteristic, complemented
176C4×D8×C17C2211yescharacteristic
177C4×D8×C17C2211yescharacteristic
178C4×D8×C17C2211yescharacteristic
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×#107C2211yescharacteristic, complemented
194C17×#419C2211yescharacteristic, complemented
195C17×#418C2211yescharacteristic
196C17×#418C2211yescharacteristic
197C17×#417C2211yescharacteristic
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×Q8×C17C2311yescharacteristic
208C22×D4×C17—21no—
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×C17—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×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⋊Q8—21no—
238C17×C4⋊Q8C2311yescharacteristic
239C17×C4⋊Q8C2311yescharacteristic
240C17×#127—21no—
241C17×#127C2311yescharacteristic
242C17×#127C2311yescharacteristic
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×#126D411yescharacteristic
252C17×#126D411yescharacteristic
253C17×#125—21no—
254C17×#125—21no—
255C17×#125—21no—
256C17×#125—21no—
257C17×#125D411yescharacteristic
258C17×#125C2311yescharacteristic
259C17×#125C2311yescharacteristic
260C17×#125C2311yescharacteristic
261C17×#125C2311yescharacteristic
262C17×#124—21no—
263C17×#124—21no—
264C17×#124—21no—
265C17×#124—21no—
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⋊Q8D411yescharacteristic
306C17×C22⋊Q8C2311yescharacteristic
307C17×C22⋊Q8C2311yescharacteristic
308C17×C22⋊Q8C2311yescharacteristic
309C17×C22⋊Q8C2311yescharacteristic
310C17×#121—21no—
311C17×#121—21no—
312C17×#121—21no—
313C17×#121—21no—
314C17×#121—21no—
315C17×#121—21no—
316C17×#121—21no—
317C17×#121—21no—
318C17×#121—21no—
319C17×#121—21no—
320C17×#121—21no—
321C17×#121—21no—
322C17×#121—21no—
323C17×#121—21no—
324C17×#121D411yescharacteristic
325C17×#121C2311yescharacteristic
326C17×#121C2311yescharacteristic
327C17×#121C2311yescharacteristic
328C17×#121C2311yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#121C2311yescharacteristic
332C17×#121C2311yescharacteristic
333C17×#120—21no—
334C17×#120—21no—
335C17×#120—21no—
336C17×#120—21no—
337C4×Q8×C17—21no—
338C4×Q8×C17—21no—
339C4×Q8×C17—21no—
340C4×Q8×C17C2311yescharacteristic
341C4×Q8×C17C2311yescharacteristic
342C4×Q8×C17C2311yescharacteristic
343C4×Q8×C17C2311yescharacteristic
344C4×Q8×C17C2311yescharacteristic
345C4×Q8×C17C2311yescharacteristic
346C4×Q8×C17C2311yescharacteristic
347C4×Q8×C17C2311yescharacteristic
348C4×Q8×C17C2311yescharacteristic
349C4×D4×C17—21no—
350C4×D4×C17—21no—
351C4×D4×C17—21no—
352C4×D4×C17—21no—
353C4×D4×C17—21no—
354C4×D4×C17—21no—
355C4×D4×C17—21no—
356C4×D4×C17—21no—
357C4×D4×C17—21no—
358C4×D4×C17—21no—
359C4×D4×C17—21no—
360C4×D4×C17—21no—
361C4×D4×C17—21no—
362C4×D4×C17—21no—
363C4×D4×C17—21no—
364C4×D4×C17—21no—
365C4×D4×C17—21no—
366C4×D4×C17—21no—
367C4×D4×C17—21no—
368C4×D4×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
382C4×D4×C17C2311yescharacteristic
383C17×#117—21no—
384C17×#117—21no—
385C17×#117—21no—
386C17×#117—21no—
387C17×#117—21no—
388C17×#117—21no—
389C17×#117—21no—
390C17×#117—21no—
391C17×#117—21no—
392C17×#117—21no—
393C17×#117C2311yescharacteristic
394C17×#117C2311yescharacteristic
395C17×#117C2311yescharacteristic
396C17×#117C2311yescharacteristic
397C17×#117C2311yescharacteristic
398C2×C4⋊C4×C17—21no—
399C2×C4⋊C4×C17—21no—
400C2×C4⋊C4×C17—21no—
401C2×C4⋊C4×C17C2311yescharacteristic
402C2×C4⋊C4×C17C2311yescharacteristic
403C2×C4⋊C4×C17C2311yescharacteristic
404C2×C22⋊C4×C17—21no—
405C2×C22⋊C4×C17—21no—
406C2×C22⋊C4×C17—21no—
407C2×C22⋊C4×C17—21no—
408C2×C22⋊C4×C17—21no—
409C2×C42×C17—21no—
410C2×C42×C17C2311yescharacteristic
411C17×#107C2311yescharacteristic
412C17×#107C2311yescharacteristic
413C17×#107C2311yescharacteristic
414C17×#107C2311yescharacteristic
415C17×#107C2311yescharacteristic
416C17×#107C2311yescharacteristic
417C17×#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—
483#41×C17—22no—
484#41×C17—22no—
485#41×C17—22no—
486#41×C17—41no—
487#41×C17—41no—
488#41×C17—41no—
489#41×C17—82no—
490C2×Q8×C17—21no—
491C2×Q8×C17—21no—
492C2×Q8×C17—21no—
493C2×Q8×C17—22no—
494C2×Q8×C17—41no—
495C2×Q8×C17C2×D411yescharacteristic
496C2×Q8×C17C2411yescharacteristic
497C2×Q8×C17C2411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×D4×C17—22no—
500C2×D4×C17—22no—
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—41no—
519C2×D4×C17—41no—
520C2×D4×C17—82no—
521C2×D4×C17C2×D411yescharacteristic
522C2×D4×C17C2×D411yescharacteristic
523C2×D4×C17C2×D411yescharacteristic
524C2×D4×C17C2411yescharacteristic
525C2×D4×C17C2411yescharacteristic
526C2×D4×C17C2411yescharacteristic
527C2×D4×C17C2411yescharacteristic
528C2×D4×C17C2411yescharacteristic
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—21no—
547C22×C4×C17—21no—
548C22×C4×C17—82no—
549C22×C4×C17C2×D411yescharacteristic
550C22×C4×C17C2×D411yescharacteristic
551C22×C4×C17C2411yescharacteristic
552C22×C4×C17C2411yescharacteristic
553C22×C4×C17C2411yescharacteristic
554Q16×C17—22no—
555Q16×C17—41no—
556SD16×C17—22no—
557SD16×C17—22no—
558SD16×C17—22no—
559SD16×C17—22no—
560SD16×C17—22no—
561SD16×C17—41no—
562SD16×C17—41no—
563SD16×C17#4114yescomplemented
564D8×C17—22no—
565D8×C17—22no—
566D8×C17—22no—
567D8×C17—41no—
568D8×C17—41no—
569D8×C17—41no—
570M16×C17—22no—
571M16×C17—41no—
572M16×C17—41no—
573M16×C17—41no—
574C2×C8×C17—22no—
575C2×C8×C17—22no—
576C2×C8×C17C2411yescharacteristic
577C2×C8×C17C2411yescharacteristic
578C2×C8×C17C2411yescharacteristic
579C2×C8×C17C2411yescharacteristic
580C2×C8×C17C2411yescharacteristic
581C2×C8×C17C2411yescharacteristic
582C2×C8×C17C2411yescharacteristic
583C2×C8×C17C2411yescharacteristic
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×C17C2×D411yescharacteristic
663C22⋊C4×C17C2×D411yescharacteristic
664C22⋊C4×C17C2×D411yescharacteristic
665C22⋊C4×C17C2×D411yescharacteristic
666C22⋊C4×C17C2×D411yescharacteristic
667C22⋊C4×C17C2×D411yescharacteristic
668C22⋊C4×C17C2×D411yescharacteristic
669C22⋊C4×C17C2×D411yescharacteristic
670C22⋊C4×C17C2×D411yescharacteristic
671C22⋊C4×C17C2×D411yescharacteristic
672C42×C17—21no—
673C42×C17—21no—
674C42×C17—21no—
675C42×C17—21no—
676C42×C17—21no—
677C42×C17—21no—
678C42×C17—21no—
679C42×C17—21no—
680C42×C17—21no—
681C42×C17—21no—
682C42×C17—21no—
683C42×C17C2×D411yescharacteristic
684C42×C17C2×D411yescharacteristic
685C42×C17C2411yescharacteristic
686C42×C17C2411yescharacteristic
687C42×C17C2411yescharacteristic
688C42×C17C2411yescharacteristic
689#61535C1711yesmaximal, 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—81no—
699C23×C17—81no—
700C23×C17—81no—
701C23×C17C22×D411yescharacteristic
702C23×C17C22×D411yescharacteristic
703C23×C17C22×D411yescharacteristic
704Q8×C17—21no—
705Q8×C17—21no—
706Q8×C17—21no—
707Q8×C17—21no—
708Q8×C17—21no—
709Q8×C17—41no—
710Q8×C17—42no—
711Q8×C17—81no—
712Q8×C17—81no—
713Q8×C17C2×#4112yes—
714D4×C17—21no—
715D4×C17—21no—
716D4×C17—21no—
717D4×C17—21no—
718D4×C17—21no—
719D4×C17—21no—
720D4×C17—21no—
721D4×C17—21no—
722D4×C17—21no—
723D4×C17—41no—
724D4×C17—41no—
725D4×C17—41no—
726D4×C17—42no—
727D4×C17—42no—
728D4×C17—42no—
729D4×C17—42no—
730D4×C17—42no—
731D4×C17—42no—
732D4×C17—81no—
733D4×C17—81no—
734D4×C17—81no—
735D4×C17—81no—
736D4×C17—81no—
737D4×C17—81no—
738D4×C17—81no—
739D4×C17—81no—
740D4×C17—81no—
741D4×C17—81no—
742D4×C17—81no—
743D4×C17C2×#4112yes—
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—21no—
761C2×C4×C17—41no—
762C2×C4×C17—41no—
763C2×C4×C17—42no—
764C2×C4×C17—42no—
765C2×C4×C17—42no—
766C2×C4×C17—42no—
767C2×C4×C17—42no—
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#3524C2×C1711yescharacteristic, complemented
803#3513C2×C1711yescharacteristic, complemented
804#3403C2×C1711yescharacteristic, complemented
805#3388C2×C1711yescharacteristic, complemented
806#3365C2×C1711yescharacteristic, complemented
807#3361C2×C1711yescharacteristic, complemented
808#3348C2×C1711yescharacteristic, complemented
809#3343C2×C1711yescharacteristic, complemented
810#3339C2×C1711yescharacteristic, complemented
811#3332C2×C1711yescharacteristic, complemented
812#3327C2×C1711yescharacteristic, complemented
813#3326C2×C1711yescharacteristic, complemented
814#3325C2×C1711yescharacteristic, complemented
815#3323C2×C1711yescharacteristic, complemented
816#3322C2×C1711yescharacteristic, complemented
817#3282C2×C1711yescharacteristic, complemented
818#3268C2×C1711yescharacteristic, complemented
819#3265C2×C1711yescharacteristic, complemented
820#3183C2×C1711yescharacteristic, complemented
821#3179C2×C1711yescharacteristic, complemented
822#3179C2×C1711yescharacteristic, complemented
823#3125C2×C1711yescharacteristic, complemented
824#3122C2×C1711yescharacteristic, complemented
825#3121C2×C1711yescharacteristic, complemented
826#3119C2×C1711yescharacteristic, complemented
827#3105C2×C1711yescharacteristic, complemented
828#3102C2×C1711yescharacteristic, complemented
829#2969C2×C1711yescharacteristic, complemented
830#2951C2×C1711yescharacteristic, complemented
831#2949C2×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—41no—
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×C17C23×D411yescharacteristic
860C4×C17—21no—
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—22no—
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×C17C22×#4111yescharacteristic
883C4×C17#58511yescharacteristic
884C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
885C2×#135C22×C1711yescharacteristic
886C22×SD16C22×C1711yescharacteristic
887#559—21no—
888#559C22×C1711yescharacteristic
889#559C22×C1711yescharacteristic, complemented
890#557C22×C1711yescharacteristic, complemented
891#555—21no—
892#555C22×C1711yescharacteristic
893#554C22×C1711yescharacteristic
894#553—21no—
895#553—21no—
896#553C22×C1711yescharacteristic
897#553C22×C1711yescharacteristic, complemented
898#552—21no—
899#552C22×C1711yescharacteristic
900#552C22×C1711yescharacteristic, complemented
901#551—21no—
902#551—21no—
903#550C22×C1711yescharacteristic, complemented
904#548C22×C1711yescharacteristic
905#548C22×C1711yescharacteristic, complemented
906#547C22×C1711yescharacteristic
907#546—21no—
908#546C22×C1711yescharacteristic
909#546C22×C1711yescharacteristic
910D42C22×C1711yescharacteristic
911#542—21no—
912#542C22×C1711yescharacteristic
913#542C22×C1711yescharacteristic, complemented
914#540—21no—
915#540C22×C1711yescharacteristic
916#540C22×C1711yescharacteristic, complemented
917#539—21no—
918#538—21no—
919#529—21no—
920#529—21no—
921#529C22×C1711yescharacteristic
922#529C22×C1711yescharacteristic
923#529C22×C1711yescharacteristic, complemented
924#525—21no—
925C2×#123—21no—
926#520C22×C1711yescharacteristic
927#520C22×C1711yescharacteristic, complemented
928#519C22×C1711yescharacteristic, complemented
929#518C22×C1711yescharacteristic
930C4×#41C22×C1711yescharacteristic, complemented
931C2×C4×D4C22×C1711yescharacteristic
932#501C22×C1711yescharacteristic, complemented
933#501C22×C1711yescharacteristic, complemented
934#499C22×C1711yescharacteristic, complemented
935#496C22×C1711yescharacteristic
936#496C22×C1711yescharacteristic, complemented
937#495C22×C1711yescharacteristic, complemented
938#488C22×C1711yescharacteristic, complemented
939#488C22×C1711yescharacteristic, complemented
940#488C22×C1711yescharacteristic, complemented
941#488C22×C1711yescharacteristic, complemented
942#486C22×C1711yescharacteristic
943#486C22×C1711yescharacteristic, complemented
944#485C22×C1711yescharacteristic, complemented
945#485C22×C1711yescharacteristic, complemented
946#484C22×C1711yescharacteristic, complemented
947#483C22×C1711yescharacteristic, complemented
948#482C22×C1711yescharacteristic
949#482C22×C1711yescharacteristic
950#482C22×C1711yescharacteristic, complemented
951#482C22×C1711yescharacteristic, complemented
952#481C22×C1711yescharacteristic, complemented
953#481C22×C1711yescharacteristic, complemented
954#481C22×C1711yescharacteristic, complemented
955#480C22×C1711yescharacteristic, complemented
956#479C22×C1711yescharacteristic, complemented
957#479C22×C1711yescharacteristic, complemented
958#478C22×C1711yescharacteristic
959#478C22×C1711yescharacteristic
960#478C22×C1711yescharacteristic, complemented
961#478C22×C1711yescharacteristic, complemented
962#478C22×C1711yescharacteristic, complemented
963#478C22×C1711yescharacteristic, complemented
964#477C22×C1711yescharacteristic, complemented
965#476C22×C1711yescharacteristic
966#475C22×C1711yescharacteristic, complemented
967#475C22×C1711yescharacteristic, complemented
968#470C22×C1711yescharacteristic, complemented
969#469C22×C1711yescharacteristic
970#469C22×C1711yescharacteristic
971#469C22×C1711yescharacteristic, complemented
972#468C22×C1711yescharacteristic
973#468C22×C1711yescharacteristic, complemented
974#468C22×C1711yescharacteristic, complemented
975#468C22×C1711yescharacteristic, complemented
976#466C22×C1711yescharacteristic
977#466C22×C1711yescharacteristic, complemented
978#465C22×C1711yescharacteristic, complemented
979#465C22×C1711yescharacteristic, complemented
980#464C22×C1711yescharacteristic, complemented
981#464C22×C1711yescharacteristic, complemented
982#464C22×C1711yescharacteristic, complemented
983#464C22×C1711yescharacteristic, complemented
984#463C22×C1711yescharacteristic
985#463C22×C1711yescharacteristic
986#463C22×C1711yescharacteristic, complemented
987#463C22×C1711yescharacteristic, complemented
988#460C22×C1711yescharacteristic
989#459C22×C1711yescharacteristic
990#459C22×C1711yescharacteristic
991#459C22×C1711yescharacteristic, complemented
992#452C22×C1711yescharacteristic
993#452C22×C1711yescharacteristic, complemented
994#451C22×C1711yescharacteristic, complemented
995#450C22×C1711yescharacteristic
996#449C22×C1711yescharacteristic
997#449C22×C1711yescharacteristic
998#449C22×C1711yescharacteristic, complemented
999#449C22×C1711yescharacteristic, complemented
1000#448C22×C1711yescharacteristic
1001#447C22×C1711yescharacteristic
1002#447C22×C1711yescharacteristic
1003#447C22×C1711yescharacteristic
1004#446C22×C1711yescharacteristic, complemented
1005C8×Q8C22×C1711yescharacteristic, complemented
1006#442C22×C1711yescharacteristic
1007#442C22×C1711yescharacteristic, complemented
1008#442C22×C1711yescharacteristic, complemented
1009#441C22×C1711yescharacteristic, complemented
1010#440C22×C1711yescharacteristic
1011#440C22×C1711yescharacteristic
1012#440C22×C1711yescharacteristic
1013#440C22×C1711yescharacteristic, complemented
1014#440C22×C1711yescharacteristic, complemented
1015#440C22×C1711yescharacteristic, complemented
1016#440C22×C1711yescharacteristic, complemented
1017#440C22×C1711yescharacteristic, complemented
1018C4×Q16C22×C1711yescharacteristic, complemented
1019C4×Q16C22×C1711yescharacteristic, complemented
1020C4×SD16C22×C1711yescharacteristic
1021C4×SD16C22×C1711yescharacteristic
1022C4×SD16C22×C1711yescharacteristic
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
1034#436C22×C1711yescharacteristic
1035#436C22×C1711yescharacteristic, complemented
1036#436C22×C1711yescharacteristic, complemented
1037#435C22×C1711yescharacteristic
1038#435C22×C1711yescharacteristic, complemented
1039C8×D4C22×C1711yescharacteristic, complemented
1040#433C22×C1711yescharacteristic, complemented
1041#433C22×C1711yescharacteristic, complemented
1042#431C22×C1711yescharacteristic, complemented
1043#428C22×C1711yescharacteristic, complemented
1044#427C22×C1711yescharacteristic, complemented
1045C2×#107C22×C1711yescharacteristic, complemented
1046#419C22×C1711yescharacteristic, complemented
1047#418C22×C1711yescharacteristic
1048#418C22×C1711yescharacteristic
1049#417C22×C1711yescharacteristic
1050#417C22×C1711yescharacteristic, complemented
1051#417C22×C1711yescharacteristic, complemented
1052#405C22×C1711yescharacteristic, complemented
1053#405C22×C1711yescharacteristic, complemented
1054C4×M16C22×C1711yescharacteristic, complemented
1055C2×C17—41no—
1056C2×C17—41no—
1057C2×C17—41no—
1058C2×C17—42no—
1059C2×C17—81no—
1060C2×C17—81no—
1061C2×C17—81no—
1062C2×C17—81no—
1063C2×C17D4×#4111yescharacteristic
1064C2×C17#358411yescharacteristic
1065C2×C17#358511yescharacteristic
1066C2×#41—21no—
1067C2×#41C23×C1711yescharacteristic
1068C2×#41C23×C1711yescharacteristic
1069C2×#41C23×C1711yescharacteristic
1070C22×Q8C23×C1711yescharacteristic
1071C22×D4—21no—
1072C22×D4C23×C1711yescharacteristic
1073C22×D4C23×C1711yescharacteristic
1074C23×C4—21no—
1075AGL(1,ℤ/8)—24no—
1076#135—24no—
1077C2×Q16C23×C1711yescharacteristic
1078C2×Q16C23×C1711yescharacteristic
1079C2×SD16—24no—
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×D8C23×C1711yescharacteristic
1089C2×D8C23×C1711yescharacteristic
1090C2×D8C23×C1711yescharacteristic
1091C2×D8C23×C1711yescharacteristic
1092C2×D8C23×C1711yescharacteristic
1093C2×D8C23×C1711yescharacteristic
1094C2×M16C23×C1711yescharacteristic
1095C2×M16C23×C1711yescharacteristic
1096C2×M16C23×C1711yescharacteristic
1097C2×M16C23×C1711yescharacteristic
1098C22×C8C23×C1711yescharacteristic
1099C22×C8C23×C1711yescharacteristic
1100C4⋊Q8—21no—
1101C4⋊Q8C23×C1711yescharacteristic
1102C4⋊Q8C23×C1711yescharacteristic
1103#127—21no—
1104#127C23×C1711yescharacteristic
1105#127C23×C1711yescharacteristic
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#126D4×C1711yescharacteristic
1115#126D4×C1711yescharacteristic
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125D4×C1711yescharacteristic
1121#125C23×C1711yescharacteristic
1122#125C23×C1711yescharacteristic
1123#125C23×C1711yescharacteristic
1124#125C23×C1711yescharacteristic
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124D4×C1711yescharacteristic
1134#124C23×C1711yescharacteristic
1135#124C23×C1711yescharacteristic
1136#124C23×C1711yescharacteristic
1137#124C23×C1711yescharacteristic
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#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#123D4×C1711yescharacteristic
1159#123D4×C1711yescharacteristic
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8D4×C1711yescharacteristic
1169C22⋊Q8C23×C1711yescharacteristic
1170C22⋊Q8C23×C1711yescharacteristic
1171C22⋊Q8C23×C1711yescharacteristic
1172C22⋊Q8C23×C1711yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
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#121D4×C1711yescharacteristic
1188#121C23×C1711yescharacteristic
1189#121C23×C1711yescharacteristic
1190#121C23×C1711yescharacteristic
1191#121C23×C1711yescharacteristic
1192#121C23×C1711yescharacteristic
1193#121C23×C1711yescharacteristic
1194#121C23×C1711yescharacteristic
1195#121C23×C1711yescharacteristic
1196#120—21no—
1197#120—21no—
1198#120—21no—
1199#120—21no—
1200C4×Q8—21no—
1201C4×Q8—21no—
1202C4×Q8—21no—
1203C4×Q8C23×C1711yescharacteristic
1204C4×Q8C23×C1711yescharacteristic
1205C4×Q8C23×C1711yescharacteristic
1206C4×Q8C23×C1711yescharacteristic
1207C4×Q8C23×C1711yescharacteristic
1208C4×Q8C23×C1711yescharacteristic
1209C4×Q8C23×C1711yescharacteristic
1210C4×Q8C23×C1711yescharacteristic
1211C4×Q8C23×C1711yescharacteristic
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×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
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
1243C4×D4C23×C1711yescharacteristic
1244C4×D4C23×C1711yescharacteristic
1245C4×D4C23×C1711yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117C23×C1711yescharacteristic
1257#117C23×C1711yescharacteristic
1258#117C23×C1711yescharacteristic
1259#117C23×C1711yescharacteristic
1260#117C23×C1711yescharacteristic
1261C2×C4⋊C4—21no—
1262C2×C4⋊C4—21no—
1263C2×C4⋊C4—21no—
1264C2×C4⋊C4C23×C1711yescharacteristic
1265C2×C4⋊C4C23×C1711yescharacteristic
1266C2×C4⋊C4C23×C1711yescharacteristic
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C42—21no—
1273C2×C42C23×C1711yescharacteristic
1274#107C23×C1711yescharacteristic
1275#107C23×C1711yescharacteristic
1276#107C23×C1711yescharacteristic
1277#107C23×C1711yescharacteristic
1278#107C23×C1711yescharacteristic
1279#107C23×C1711yescharacteristic
1280#107C23×C1711yescharacteristic
1281#107C23×C1711yescharacteristic
1282#106C23×C1711yescharacteristic
1283#106C23×C1711yescharacteristic
1284#106C23×C1711yescharacteristic
1285#106C23×C1711yescharacteristic
1286#106C23×C1711yescharacteristic
1287#106C23×C1711yescharacteristic
1288#106C23×C1711yescharacteristic
1289#106C23×C1711yescharacteristic
1290C4⋊C8C23×C1711yescharacteristic
1291C4⋊C8C23×C1711yescharacteristic
1292C4⋊C8C23×C1711yescharacteristic
1293C4⋊C8C23×C1711yescharacteristic
1294C4⋊C8C23×C1711yescharacteristic
1295C4⋊C8C23×C1711yescharacteristic
1296#103C23×C1711yescharacteristic
1297#103C23×C1711yescharacteristic
1298#103C23×C1711yescharacteristic
1299#103C23×C1711yescharacteristic
1300#103C23×C1711yescharacteristic
1301#103C23×C1711yescharacteristic
1302#103C23×C1711yescharacteristic
1303#103C23×C1711yescharacteristic
1304#103C23×C1711yescharacteristic
1305#103C23×C1711yescharacteristic
1306#103C23×C1711yescharacteristic
1307#103C23×C1711yescharacteristic
1308#102C23×C1711yescharacteristic
1309#102C23×C1711yescharacteristic
1310#102C23×C1711yescharacteristic
1311#102C23×C1711yescharacteristic
1312#102C23×C1711yescharacteristic
1313#102C23×C1711yescharacteristic
1314#102C23×C1711yescharacteristic
1315#102C23×C1711yescharacteristic
1316#102C23×C1711yescharacteristic
1317#102C23×C1711yescharacteristic
1318#102C23×C1711yescharacteristic
1319#102C23×C1711yescharacteristic
1320#102C23×C1711yescharacteristic
1321#102C23×C1711yescharacteristic
1322#102C23×C1711yescharacteristic
1323#102C23×C1711yescharacteristic
1324#102C23×C1711yescharacteristic
1325#102C23×C1711yescharacteristic
1326#102C23×C1711yescharacteristic
1327#102C23×C1711yescharacteristic
1328C22⋊C8C23×C1711yescharacteristic
1329C22⋊C8C23×C1711yescharacteristic
1330C22⋊C8C23×C1711yescharacteristic
1331C22⋊C8C23×C1711yescharacteristic
1332C22⋊C8C23×C1711yescharacteristic
1333C22⋊C8C23×C1711yescharacteristic
1334#97C23×C1711yescharacteristic
1335#97C23×C1711yescharacteristic
1336#97C23×C1711yescharacteristic
1337#97C23×C1711yescharacteristic
1338C4×C8C23×C1711yescharacteristic
1339C4×C8C23×C1711yescharacteristic
1340C4×C8C23×C1711yescharacteristic
1341C4×C8C23×C1711yescharacteristic
1342C4×C8C23×C1711yescharacteristic
1343C4×C8C23×C1711yescharacteristic
1344C17#6153511yescharacteristic, direct product factor, Sylow
1345C24—21no—
1346C24—21no—
1347#41—22no—
1348#41—22no—
1349#41—22no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—82no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—22no—
1358C2×Q8—41no—
1359C2×Q8C2×D4×C1711yescharacteristic
1360C2×Q8C24×C1711yescharacteristic
1361C2×Q8C24×C1711yescharacteristic
1362C2×Q8C24×C1711yescharacteristic
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—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—82no—
1385C2×D4C2×D4×C1711yescharacteristic
1386C2×D4C2×D4×C1711yescharacteristic
1387C2×D4C2×D4×C1711yescharacteristic
1388C2×D4C24×C1711yescharacteristic
1389C2×D4C24×C1711yescharacteristic
1390C2×D4C24×C1711yescharacteristic
1391C2×D4C24×C1711yescharacteristic
1392C2×D4C24×C1711yescharacteristic
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—21no—
1412C22×C4—82no—
1413C22×C4C2×D4×C1711yescharacteristic
1414C22×C4C2×D4×C1711yescharacteristic
1415C22×C4C24×C1711yescharacteristic
1416C22×C4C24×C1711yescharacteristic
1417C22×C4C24×C1711yescharacteristic
1418Q16—22no—
1419Q16—41no—
1420SD16—22no—
1421SD16—22no—
1422SD16—22no—
1423SD16—22no—
1424SD16—22no—
1425SD16—41no—
1426SD16—41no—
1427SD16#41×C1714yescomplemented
1428D8—22no—
1429D8—22no—
1430D8—22no—
1431D8—41no—
1432D8—41no—
1433D8—41no—
1434M16—22no—
1435M16—41no—
1436M16—41no—
1437M16—41no—
1438C2×C8—22no—
1439C2×C8—22no—
1440C2×C8C24×C1711yescharacteristic
1441C2×C8C24×C1711yescharacteristic
1442C2×C8C24×C1711yescharacteristic
1443C2×C8C24×C1711yescharacteristic
1444C2×C8C24×C1711yescharacteristic
1445C2×C8C24×C1711yescharacteristic
1446C2×C8C24×C1711yescharacteristic
1447C2×C8C24×C1711yescharacteristic
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⋊C4C2×D4×C1711yescharacteristic
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⋊C4C24×C1711yescharacteristic
1484C4⋊C4C24×C1711yescharacteristic
1485C4⋊C4C24×C1711yescharacteristic
1486C4⋊C4C24×C1711yescharacteristic
1487C4⋊C4C24×C1711yescharacteristic
1488C4⋊C4C24×C1711yescharacteristic
1489C4⋊C4C24×C1711yescharacteristic
1490C4⋊C4C24×C1711yescharacteristic
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4C2×D4×C1711yescharacteristic
1527C22⋊C4C2×D4×C1711yescharacteristic
1528C22⋊C4C2×D4×C1711yescharacteristic
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
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42C2×D4×C1711yescharacteristic
1548C42C2×D4×C1711yescharacteristic
1549C42C24×C1711yescharacteristic
1550C42C24×C1711yescharacteristic
1551C42C24×C1711yescharacteristic
1552C42C24×C1711yescharacteristic
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—42no—
1559C23—42no—
1560C23—42no—
1561C23—81no—
1562C23—81no—
1563C23—81no—
1564C23C22×D4×C1711yescharacteristic
1565C23C22×D4×C1711yescharacteristic
1566C23C22×D4×C1711yescharacteristic
1567Q8—21no—
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—41no—
1573Q8—42no—
1574Q8—81no—
1575Q8—81no—
1576Q8C2×#41×C1712yes—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—42no—
1590D4—42no—
1591D4—42no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
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—42no—
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×C4C22×D4×C1711yescharacteristic
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×C4C25×C1711yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8C2×#41×C1712yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—22no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—41no—
1676C22—41no—
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—84no—
1690C22—162no—
1691C22C23×D4×C1711yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—22no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4C22×#41×C1711yescharacteristic
1715C4C17×#58511yescharacteristic
1716C2—41no—
1717C2—41no—
1718C2—41no—
1719C2—42no—
1720C2—81no—
1721C2—81no—
1722C2—81no—
1723C2—81no—
1724C2D4×#41×C1711yescharacteristic
1725C2C17×#358411yescharacteristic
1726C2C17×#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×#3524C2semidirect
2. C17×#3513C2semidirect
3. C17×#3403C2semidirect
4. C17×#3388C2semidirect
5. C17×#3365C2semidirect
6. C17×#3361C2semidirect
7. C17×#3348C2semidirect
8. C17×#3343C2semidirect
9. C17×#3339C2semidirect
10. C17×#3332C2semidirect
11. C17×#3327C2semidirect
12. C17×#3326C2semidirect
13. C17×#3325C2semidirect
14. C17×#3323C2semidirect
15. C17×#3322C2semidirect
16. C17×#3282C2semidirect
17. C17×#3268C2semidirect
18. C17×#3265C2semidirect
19. C17×#3183C2semidirect
20. C17×#3179C2semidirect
21. C17×#3179C2semidirect
22. C17×#3125C2semidirect
23. C17×#3122C2semidirect
24. C17×#3121C2semidirect
25. C17×#3119C2semidirect
26. C17×#3105C2semidirect
27. C17×#3102C2semidirect
28. C17×#2969C2semidirect
29. C17×#2951C2semidirect
30. C17×#2949C2semidirect
31. C4×C17×AGL(1,ℤ/8)C2semidirect
37. C17×#559C22semidirect
38. C17×#557C22semidirect
45. C17×#553C22semidirect
48. C17×#552C22semidirect
51. C17×#550C22semidirect
53. C17×#548C22semidirect
61. C17×#542C22semidirect
64. C17×#540C22semidirect
71. C17×#529C22semidirect
75. C17×#520C22semidirect
76. C17×#519C22semidirect
78. C4×#41×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
84. C17×#496C22semidirect
85. C17×#495C22semidirect
86. C17×#488C22semidirect
87. C17×#488C22semidirect
88. C17×#488C22semidirect
89. C17×#488C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
93. C17×#485C22semidirect
94. C17×#484C22semidirect
95. C17×#483C22semidirect
98. C17×#482C22semidirect
99. C17×#482C22semidirect
100. C17×#481C22semidirect
101. C17×#481C22semidirect
102. C17×#481C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
108. C17×#478C22semidirect
109. C17×#478C22semidirect
110. C17×#478C22semidirect
111. C17×#478C22semidirect
112. C17×#477C22semidirect
114. C17×#475C22semidirect
115. C17×#475C22semidirect
116. C17×#470C22semidirect
119. C17×#469C22semidirect
121. C17×#468C22semidirect
122. C17×#468C22semidirect
123. C17×#468C22semidirect
125. C17×#466C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
128. C17×#464C22semidirect
129. C17×#464C22semidirect
130. C17×#464C22semidirect
131. C17×#464C22semidirect
134. C17×#463C22semidirect
135. C17×#463C22semidirect
139. C17×#459C22semidirect
141. C17×#452C22semidirect
142. C17×#451C22semidirect
146. C17×#449C22semidirect
147. C17×#449C22semidirect
152. C17×#446C22semidirect
153. C8×Q8×C17C22semidirect
155. C17×#442C22semidirect
156. C17×#442C22semidirect
157. C17×#441C22semidirect
161. C17×#440C22semidirect
162. C17×#440C22semidirect
163. C17×#440C22semidirect
164. C17×#440C22semidirect
165. C17×#440C22semidirect
166. C4×Q16×C17C22semidirect
167. C4×Q16×C17C22semidirect
171. C4×SD16×C17C22semidirect
172. C4×SD16×C17C22semidirect
173. C4×SD16×C17C22semidirect
174. C4×SD16×C17C22semidirect
175. C4×SD16×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×#107C22semidirect
194. C17×#419C22semidirect
198. C17×#417C22semidirect
199. C17×#417C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C4×M16×C17C22semidirect
563. SD16×C17#41semidirect
689. #61535C17direct (N × H)
802. #3524C2×C17semidirect
803. #3513C2×C17semidirect
804. #3403C2×C17semidirect
805. #3388C2×C17semidirect
806. #3365C2×C17semidirect
807. #3361C2×C17semidirect
808. #3348C2×C17semidirect
809. #3343C2×C17semidirect
810. #3339C2×C17semidirect
811. #3332C2×C17semidirect
812. #3327C2×C17semidirect
813. #3326C2×C17semidirect
814. #3325C2×C17semidirect
815. #3323C2×C17semidirect
816. #3322C2×C17semidirect
817. #3282C2×C17semidirect
818. #3268C2×C17semidirect
819. #3265C2×C17semidirect
820. #3183C2×C17semidirect
821. #3179C2×C17semidirect
822. #3179C2×C17semidirect
823. #3125C2×C17semidirect
824. #3122C2×C17semidirect
825. #3121C2×C17semidirect
826. #3119C2×C17semidirect
827. #3105C2×C17semidirect
828. #3102C2×C17semidirect
829. #2969C2×C17semidirect
830. #2951C2×C17semidirect
831. #2949C2×C17semidirect
832. C4×AGL(1,ℤ/8)C2×C17semidirect
889. #559C22×C17semidirect
890. #557C22×C17semidirect
897. #553C22×C17semidirect
900. #552C22×C17semidirect
903. #550C22×C17semidirect
905. #548C22×C17semidirect
913. #542C22×C17semidirect
916. #540C22×C17semidirect
923. #529C22×C17semidirect
927. #520C22×C17semidirect
928. #519C22×C17semidirect
930. C4×#41C22×C17semidirect
932. #501C22×C17semidirect
933. #501C22×C17semidirect
934. #499C22×C17semidirect
936. #496C22×C17semidirect
937. #495C22×C17semidirect
938. #488C22×C17semidirect
939. #488C22×C17semidirect
940. #488C22×C17semidirect
941. #488C22×C17semidirect
943. #486C22×C17semidirect
944. #485C22×C17semidirect
945. #485C22×C17semidirect
946. #484C22×C17semidirect
947. #483C22×C17semidirect
950. #482C22×C17semidirect
951. #482C22×C17semidirect
952. #481C22×C17semidirect
953. #481C22×C17semidirect
954. #481C22×C17semidirect
955. #480C22×C17semidirect
956. #479C22×C17semidirect
957. #479C22×C17semidirect
960. #478C22×C17semidirect
961. #478C22×C17semidirect
962. #478C22×C17semidirect
963. #478C22×C17semidirect
964. #477C22×C17semidirect
966. #475C22×C17semidirect
967. #475C22×C17semidirect
968. #470C22×C17semidirect
971. #469C22×C17semidirect
973. #468C22×C17semidirect
974. #468C22×C17semidirect
975. #468C22×C17semidirect
977. #466C22×C17semidirect
978. #465C22×C17semidirect
979. #465C22×C17semidirect
980. #464C22×C17semidirect
981. #464C22×C17semidirect
982. #464C22×C17semidirect
983. #464C22×C17semidirect
986. #463C22×C17semidirect
987. #463C22×C17semidirect
991. #459C22×C17semidirect
993. #452C22×C17semidirect
994. #451C22×C17semidirect
998. #449C22×C17semidirect
999. #449C22×C17semidirect
1004. #446C22×C17semidirect
1005. C8×Q8C22×C17semidirect
1007. #442C22×C17semidirect
1008. #442C22×C17semidirect
1009. #441C22×C17semidirect
1013. #440C22×C17semidirect
1014. #440C22×C17semidirect
1015. #440C22×C17semidirect
1016. #440C22×C17semidirect
1017. #440C22×C17semidirect
1018. C4×Q16C22×C17semidirect
1019. C4×Q16C22×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
1035. #436C22×C17semidirect
1036. #436C22×C17semidirect
1038. #435C22×C17semidirect
1039. C8×D4C22×C17semidirect
1040. #433C22×C17semidirect
1041. #433C22×C17semidirect
1042. #431C22×C17semidirect
1043. #428C22×C17semidirect
1044. #427C22×C17semidirect
1045. C2×#107C22×C17semidirect
1046. #419C22×C17semidirect
1050. #417C22×C17semidirect
1051. #417C22×C17semidirect
1052. #405C22×C17semidirect
1053. #405C22×C17semidirect
1054. C4×M16C22×C17semidirect
1344. C17#61535direct (N × H)
1427. SD16#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35242
C17×#35132
C17×#34032
C17×#33882
C17×#33652
C17×#33612
C17×#33482
C17×#33432
C17×#33392
C17×#33322
C17×#33272
C17×#33262
C17×#33252
C17×#33232
C17×#33222
C17×#32822
C17×#32682
C17×#32652
C17×#31832
C17×#31792
C17×#31252
C17×#31222
C17×#31212
C17×#31192
C17×#31052
C17×#31022
C17×#29692
C17×#29512
C17×#29492
C4×C17×AGL(1,ℤ/8)2
#6153517