Finite Group Databasebeta

← C17×#61522 #16919266

Subgroups — C17×#61522 #16919266

Order 4352.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3520C211yesmaximal, characteristic, complemented
2C17×#3513C211yesmaximal, characteristic, complemented
3C17×#3401C211yesmaximal, characteristic, complemented
4C17×#3384C211yesmaximal, characteristic, complemented
5C17×#3376C211yesmaximal, characteristic, complemented
6C17×#3373C211yesmaximal, characteristic, complemented
7C17×#3345C211yesmaximal, characteristic, complemented
8C17×#3344C211yesmaximal, characteristic, complemented
9C17×#3335C211yesmaximal, characteristic, complemented
10C17×#3314C211yesmaximal, characteristic, complemented
11C17×#3307C211yesmaximal, characteristic, complemented
12C17×#3306C211yesmaximal, characteristic, complemented
13C17×#3306C211yesmaximal, characteristic, complemented
14C17×#3296C211yesmaximal, characteristic, complemented
15C17×#3295C211yesmaximal, characteristic, complemented
16C17×#3280C211yesmaximal, characteristic, complemented
17C17×#3267C211yesmaximal, characteristic, complemented
18C17×#3264C211yesmaximal, characteristic, complemented
19C17×#3181C211yesmaximal, characteristic, complemented
20C17×#3179C211yesmaximal, characteristic, complemented
21C17×#3173C211yesmaximal, characteristic, complemented
22C17×#3125C211yesmaximal, characteristic, complemented
23C17×#3125C211yesmaximal, characteristic, complemented
24C17×#3119C211yesmaximal, characteristic, complemented
25C17×#3118C211yesmaximal, characteristic, complemented
26C17×#3105C211yesmaximal, characteristic, complemented
27C17×#3101C211yesmaximal, characteristic, complemented
28C17×#2968C211yesmaximal, characteristic, complemented
29C17×#2952C211yesmaximal, characteristic, complemented
30C17×#2946C211yesmaximal, characteristic, complemented
31C2×C17×#442C211yesmaximal, characteristic, complemented
32C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C17×#135C2211yescharacteristic
34C22×D8×C17C2211yescharacteristic
35C17×#559C2211yescharacteristic, complemented
36C17×#556C2211yescharacteristic, complemented
37C17×#554C2211yescharacteristic
38C17×#554C2211yescharacteristic, complemented
39C17×#554C2211yescharacteristic, complemented
40C17×#553—21no—
41C17×#553C2211yescharacteristic, complemented
42C17×#552—21no—
43C17×#552C2211yescharacteristic
44C17×#551—21no—
45C17×#551—21no—
46C17×#551—21no—
47C17×#551—21no—
48D4×Q8×C17C2211yescharacteristic, complemented
49C17×#548—21no—
50C17×#547C2211yescharacteristic
51C17×#547C2211yescharacteristic, complemented
52C17×#547C2211yescharacteristic, complemented
53C17×#546—21no—
54C17×#546C2211yescharacteristic
55C17×#546C2211yescharacteristic
56C17×#546C2211yescharacteristic, complemented
57C17×#546C2211yescharacteristic, complemented
58D42×C17C2211yescharacteristic
59C17×#542C2211yescharacteristic, complemented
60C17×#542C2211yescharacteristic, complemented
61C17×#542C2211yescharacteristic, complemented
62C17×#540C2211yescharacteristic, complemented
63C17×#539—21no—
64C17×#539—21no—
65C17×#539—21no—
66C17×#538—21no—
67C17×#533C2211yescharacteristic, complemented
68C17×#529C2211yescharacteristic
69C17×#529C2211yescharacteristic
70C17×#525—21no—
71C17×#525—21no—
72C2×C17×#123—21no—
73C2×C17×C22⋊Q8—21no—
74C17×#520C2211yescharacteristic, complemented
75C17×#520C2211yescharacteristic, complemented
76C17×#520C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic, complemented
78C2×C4×D4×C17C2211yescharacteristic
79C2×C4×D4×C17C2211yescharacteristic, complemented
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#498C2211yescharacteristic, complemented
83C17×#497C2211yescharacteristic, complemented
84C17×#496C2211yescharacteristic
85C17×#495C2211yescharacteristic, complemented
86C17×#491C2211yescharacteristic, complemented
87C17×#489C2211yescharacteristic, complemented
88C17×#489C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#484C2211yescharacteristic, complemented
94C17×#483C2211yescharacteristic, complemented
95C17×#483C2211yescharacteristic, complemented
96C17×#483C2211yescharacteristic, complemented
97C17×#483C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic, complemented
99C17×#481C2211yescharacteristic
100C17×#481C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic, complemented
102C17×#481C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#478C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic, complemented
108C17×#476C2211yescharacteristic, complemented
109C17×#476C2211yescharacteristic, complemented
110C17×#476C2211yescharacteristic, complemented
111C17×#476C2211yescharacteristic, complemented
112C17×#476C2211yescharacteristic, complemented
113C17×#475C2211yescharacteristic, complemented
114C17×#475C2211yescharacteristic, complemented
115C17×#474C2211yescharacteristic, complemented
116C17×#470C2211yescharacteristic, complemented
117C17×#469C2211yescharacteristic
118C17×#469C2211yescharacteristic, complemented
119C17×#468C2211yescharacteristic, complemented
120C17×#467C2211yescharacteristic, complemented
121C17×#467C2211yescharacteristic, complemented
122C17×#466C2211yescharacteristic, complemented
123C17×#465C2211yescharacteristic
124C17×#465C2211yescharacteristic
125C17×#465C2211yescharacteristic, complemented
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#464C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic
131C17×#463C2211yescharacteristic
132C17×#463C2211yescharacteristic, complemented
133C17×#463C2211yescharacteristic, complemented
134C17×#463C2211yescharacteristic, complemented
135C17×#463C2211yescharacteristic, complemented
136C17×#461C2211yescharacteristic, complemented
137C17×#461C2211yescharacteristic, complemented
138C17×#460C2211yescharacteristic, complemented
139C17×#459C2211yescharacteristic
140C17×#452C2211yescharacteristic, complemented
141C17×#452C2211yescharacteristic, complemented
142C17×#450C2211yescharacteristic
143C17×#450C2211yescharacteristic
144C17×#450C2211yescharacteristic, complemented
145C17×#450C2211yescharacteristic, complemented
146C17×#449C2211yescharacteristic
147C17×#449C2211yescharacteristic
148C17×#449C2211yescharacteristic, complemented
149C17×#449C2211yescharacteristic, complemented
150C17×#447C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#442C2211yescharacteristic
158C17×#442C2211yescharacteristic
159C17×#442C2211yescharacteristic, complemented
160C17×#442C2211yescharacteristic, complemented
161C17×#442C2211yescharacteristic, complemented
162C17×#442C2211yescharacteristic, complemented
163C17×#442C2211yescharacteristic, complemented
164C17×#441C2211yescharacteristic, complemented
165C17×#441C2211yescharacteristic, complemented
166C17×#441C2211yescharacteristic, 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×SD16×C17C2211yescharacteristic, complemented
176C4×SD16×C17C2211yescharacteristic, complemented
177C4×SD16×C17C2211yescharacteristic, complemented
178C4×SD16×C17C2211yescharacteristic, complemented
179C4×D8×C17C2211yescharacteristic
180C4×D8×C17C2211yescharacteristic, complemented
181C4×D8×C17C2211yescharacteristic, complemented
182C17×#435C2211yescharacteristic
183C17×#435C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C8×D4×C17C2211yescharacteristic
187C8×D4×C17C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#431C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C2×C17×#106C2211yescharacteristic, complemented
193C2×C17×#106C2211yescharacteristic, complemented
194C17×#417C2211yescharacteristic, complemented
195C17×#417C2211yescharacteristic, complemented
196C17×#416C2211yescharacteristic, complemented
197C2×C17×#102C2211yescharacteristic
198C2×C17×#102C2211yescharacteristic, complemented
199C2×C17×#102C2211yescharacteristic, complemented
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C2×C17×#97C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17—21no—
205C2×#41×C17C2311yescharacteristic
206C2×#41×C17C2311yescharacteristic
207C2×#41×C17C2311yescharacteristic
208C22×Q8×C17—21no—
209C22×D4×C17—21no—
210C22×D4×C17C2311yescharacteristic
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C23×C4×C17—21no—
214C23×C4×C17—21no—
215C17×AGL(1,ℤ/8)—24no—
216C17×#135—24no—
217C2×Q16×C17C2311yescharacteristic
218C2×Q16×C17C2311yescharacteristic
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×SD16×C17C2311yescharacteristic
226C2×SD16×C17C2311yescharacteristic
227C2×D8×C17—24no—
228C2×D8×C17C2311yescharacteristic
229C2×D8×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×D8×C17C2311yescharacteristic
232C2×D8×C17C2311yescharacteristic
233C2×D8×C17C2311yescharacteristic
234C2×M16×C17C2311yescharacteristic
235C2×M16×C17C2311yescharacteristic
236C22×C8×C17C2311yescharacteristic
237C22×C8×C17C2311yescharacteristic
238C22×C8×C17C2311yescharacteristic
239C22×C8×C17C2311yescharacteristic
240C17×C4⋊Q8C2311yescharacteristic
241C17×C4⋊Q8C2311yescharacteristic
242C17×C4⋊Q8C2311yescharacteristic
243C17×C4⋊Q8C2311yescharacteristic
244C17×C4⋊Q8C2311yescharacteristic
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×#126D411yescharacteristic
255C17×#126D411yescharacteristic
256C17×#125—21no—
257C17×#125—21no—
258C17×#125—21no—
259C17×#125—21no—
260C17×#125D411yescharacteristic
261C17×#125C2311yescharacteristic
262C17×#125C2311yescharacteristic
263C17×#124—21no—
264C17×#124—21no—
265C17×#124—21no—
266C17×#124—21no—
267C17×#124D411yescharacteristic
268C17×#124C2311yescharacteristic
269C17×#124C2311yescharacteristic
270C17×#124C2311yescharacteristic
271C17×#124C2311yescharacteristic
272C17×#123—21no—
273C17×#123—21no—
274C17×#123—21no—
275C17×#123—21no—
276C17×#123—21no—
277C17×#123—21no—
278C17×#123—21no—
279C17×#123—21no—
280C17×#123—21no—
281C17×#123—21no—
282C17×#123—21no—
283C17×#123—21no—
284C17×#123—21no—
285C17×#123—21no—
286C17×#123—21no—
287C17×#123—21no—
288C17×#123—21no—
289C17×#123—21no—
290C17×#123—21no—
291C17×#123—21no—
292C17×#123D411yescharacteristic
293C17×#123D411yescharacteristic
294C17×C22⋊Q8—21no—
295C17×C22⋊Q8—21no—
296C17×C22⋊Q8—21no—
297C17×C22⋊Q8—21no—
298C17×C22⋊Q8—21no—
299C17×C22⋊Q8—21no—
300C17×C22⋊Q8—21no—
301C17×C22⋊Q8—21no—
302C17×C22⋊Q8—21no—
303C17×C22⋊Q8—21no—
304C17×C22⋊Q8—21no—
305C17×C22⋊Q8—21no—
306C17×C22⋊Q8—21no—
307C17×C22⋊Q8—21no—
308C17×C22⋊Q8—21no—
309C17×C22⋊Q8—21no—
310C17×C22⋊Q8—21no—
311C17×C22⋊Q8D411yescharacteristic
312C17×C22⋊Q8C2311yescharacteristic
313C17×C22⋊Q8C2311yescharacteristic
314C17×C22⋊Q8C2311yescharacteristic
315C17×C22⋊Q8C2311yescharacteristic
316C17×C22⋊Q8C2311yescharacteristic
317C17×C22⋊Q8C2311yescharacteristic
318C17×#121—21no—
319C17×#121—21no—
320C17×#121—21no—
321C17×#121—21no—
322C17×#121—21no—
323C17×#121—21no—
324C17×#121—21no—
325C17×#121—21no—
326C17×#121—21no—
327C17×#121D411yescharacteristic
328C17×#121C2311yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#121C2311yescharacteristic
332C17×#121C2311yescharacteristic
333C17×#121C2311yescharacteristic
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×Q8×C17C2311yescharacteristic
347C4×Q8×C17C2311yescharacteristic
348C4×D4×C17—21no—
349C4×D4×C17—21no—
350C4×D4×C17—21no—
351C4×D4×C17—21no—
352C4×D4×C17—21no—
353C4×D4×C17—21no—
354C4×D4×C17—21no—
355C4×D4×C17—21no—
356C4×D4×C17—21no—
357C4×D4×C17—21no—
358C4×D4×C17—21no—
359C4×D4×C17—21no—
360C4×D4×C17—21no—
361C4×D4×C17—21no—
362C4×D4×C17—21no—
363C4×D4×C17—21no—
364C4×D4×C17—21no—
365C4×D4×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×#117—21no—
389C17×#117C2311yescharacteristic
390C17×#117C2311yescharacteristic
391C17×#117C2311yescharacteristic
392C2×C4⋊C4×C17—21no—
393C2×C4⋊C4×C17—21no—
394C2×C4⋊C4×C17—21no—
395C2×C4⋊C4×C17—21no—
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17C2311yescharacteristic
398C2×C4⋊C4×C17C2311yescharacteristic
399C2×C4⋊C4×C17C2311yescharacteristic
400C2×C4⋊C4×C17C2311yescharacteristic
401C2×C4⋊C4×C17C2311yescharacteristic
402C2×C22⋊C4×C17—21no—
403C2×C22⋊C4×C17—21no—
404C2×C22⋊C4×C17—21no—
405C2×C22⋊C4×C17—21no—
406C2×C22⋊C4×C17—21no—
407C2×C22⋊C4×C17—21no—
408C2×C22⋊C4×C17—21no—
409C2×C22⋊C4×C17—21no—
410C2×C42×C17C2311yescharacteristic
411C17×#107C2311yescharacteristic
412C17×#107C2311yescharacteristic
413C17×#107C2311yescharacteristic
414C17×#107C2311yescharacteristic
415C17×#106C2311yescharacteristic
416C17×#106C2311yescharacteristic
417C17×#106C2311yescharacteristic
418C17×#106C2311yescharacteristic
419C17×#106C2311yescharacteristic
420C17×#106C2311yescharacteristic
421C17×#106C2311yescharacteristic
422C17×#106C2311yescharacteristic
423C17×#106C2311yescharacteristic
424C17×#106C2311yescharacteristic
425C17×#106C2311yescharacteristic
426C17×#106C2311yescharacteristic
427C17×C4⋊C8C2311yescharacteristic
428C17×C4⋊C8C2311yescharacteristic
429C17×C4⋊C8C2311yescharacteristic
430C17×C4⋊C8C2311yescharacteristic
431C17×C4⋊C8C2311yescharacteristic
432C17×C4⋊C8C2311yescharacteristic
433C17×#103C2311yescharacteristic
434C17×#103C2311yescharacteristic
435C17×#103C2311yescharacteristic
436C17×#103C2311yescharacteristic
437C17×#103C2311yescharacteristic
438C17×#103C2311yescharacteristic
439C17×#103C2311yescharacteristic
440C17×#103C2311yescharacteristic
441C17×#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
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—
484#41×C17—22no—
485#41×C17—22no—
486#41×C17—22no—
487#41×C17—41no—
488#41×C17—41no—
489#41×C17—41no—
490#41×C17—82no—
491#41×C17—82no—
492C2×Q8×C17—21no—
493C2×Q8×C17—21no—
494C2×Q8×C17—21no—
495C2×Q8×C17—21no—
496C2×Q8×C17—82no—
497C2×Q8×C17C2×D411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×Q8×C17C2411yescharacteristic
500C2×Q8×C17C2411yescharacteristic
501C2×D4×C17—22no—
502C2×D4×C17—22no—
503C2×D4×C17—22no—
504C2×D4×C17—21no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—21no—
508C2×D4×C17—21no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—21no—
514C2×D4×C17—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—21no—
518C2×D4×C17—41no—
519C2×D4×C17—41no—
520C2×D4×C17—41no—
521C2×D4×C17—82no—
522C2×D4×C17C2×D411yescharacteristic
523C2×D4×C17C2×D411yescharacteristic
524C2×D4×C17C2×D411yescharacteristic
525C2×D4×C17C2411yescharacteristic
526C2×D4×C17C2411yescharacteristic
527C2×D4×C17C2411yescharacteristic
528C2×D4×C17C2411yescharacteristic
529C2×D4×C17C2411yescharacteristic
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—21no—
549C22×C4×C17—21no—
550C22×C4×C17—21no—
551C22×C4×C17—21no—
552C22×C4×C17—82no—
553C22×C4×C17—82no—
554C22×C4×C17C2×D411yescharacteristic
555C22×C4×C17C2×D411yescharacteristic
556C22×C4×C17C2411yescharacteristic
557C22×C4×C17C2411yescharacteristic
558C22×C4×C17C2411yescharacteristic
559Q16×C17—22no—
560Q16×C17—41no—
561SD16×C17—22no—
562SD16×C17—22no—
563SD16×C17—22no—
564SD16×C17—22no—
565SD16×C17—41no—
566SD16×C17—41no—
567SD16×C17—41no—
568SD16×C17—41no—
569D8×C17—22no—
570D8×C17—22no—
571D8×C17—22no—
572D8×C17—22no—
573D8×C17—41no—
574D8×C17#4114yescomplemented
575M16×C17—22no—
576M16×C17—41no—
577C2×C8×C17—22no—
578C2×C8×C17—22no—
579C2×C8×C17—41no—
580C2×C8×C17—41no—
581C2×C8×C17C2411yescharacteristic
582C2×C8×C17C2411yescharacteristic
583C2×C8×C17C2411yescharacteristic
584C2×C8×C17C2411yescharacteristic
585C2×C8×C17C2411yescharacteristic
586C2×C8×C17C2411yescharacteristic
587C2×C8×C17C2411yescharacteristic
588C2×C8×C17C2411yescharacteristic
589C4⋊C4×C17—21no—
590C4⋊C4×C17—21no—
591C4⋊C4×C17—21no—
592C4⋊C4×C17—21no—
593C4⋊C4×C17—21no—
594C4⋊C4×C17—21no—
595C4⋊C4×C17—21no—
596C4⋊C4×C17—21no—
597C4⋊C4×C17—21no—
598C4⋊C4×C17—21no—
599C4⋊C4×C17—21no—
600C4⋊C4×C17—21no—
601C4⋊C4×C17—21no—
602C4⋊C4×C17—21no—
603C4⋊C4×C17—21no—
604C4⋊C4×C17—21no—
605C4⋊C4×C17—21no—
606C4⋊C4×C17—21no—
607C4⋊C4×C17—21no—
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17—21no—
614C4⋊C4×C17—21no—
615C4⋊C4×C17—21no—
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×C17C2×D411yescharacteristic
625C4⋊C4×C17C2×D411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C4⋊C4×C17C2411yescharacteristic
628C4⋊C4×C17C2411yescharacteristic
629C4⋊C4×C17C2411yescharacteristic
630C4⋊C4×C17C2411yescharacteristic
631C4⋊C4×C17C2411yescharacteristic
632C4⋊C4×C17C2411yescharacteristic
633C4⋊C4×C17C2411yescharacteristic
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×C17—21no—
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
678C22⋊C4×C17C2×D411yescharacteristic
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#61522C1711yesmaximal, characteristic, direct product factor, Sylow
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—21no—
696C23×C17—21no—
697C23×C17—21no—
698C23×C17—42no—
699C23×C17—42no—
700C23×C17—42no—
701C23×C17—42no—
702C23×C17—42no—
703C23×C17—81no—
704C23×C17—81no—
705C23×C17—81no—
706C23×C17—81no—
707C23×C17C22×D411yescharacteristic
708C23×C17C22×D411yescharacteristic
709C23×C17C22×D411yescharacteristic
710Q8×C17—21no—
711Q8×C17—21no—
712Q8×C17—21no—
713Q8×C17—21no—
714Q8×C17—21no—
715Q8×C17—21no—
716Q8×C17—41no—
717Q8×C17—42no—
718Q8×C17—81no—
719Q8×C17—81no—
720Q8×C17—81no—
721D4×C17—22no—
722D4×C17—22no—
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—42no—
733D4×C17—42no—
734D4×C17—42no—
735D4×C17—42no—
736D4×C17—42no—
737D4×C17—42no—
738D4×C17—42no—
739D4×C17—81no—
740D4×C17—81no—
741D4×C17—81no—
742D4×C17—81no—
743D4×C17—81no—
744D4×C17—81no—
745D4×C17—81no—
746D4×C17C2×#4112yes—
747D4×C17C2×#4112yes—
748C2×C4×C17—22no—
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—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—41no—
767C2×C4×C17—42no—
768C2×C4×C17—42no—
769C2×C4×C17—42no—
770C2×C4×C17—42no—
771C2×C4×C17—42no—
772C2×C4×C17—42no—
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×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×C17C22×D411yescharacteristic
790C2×C4×C17C22×D411yescharacteristic
791C2×C4×C17C22×D411yescharacteristic
792C2×C4×C17C22×D411yescharacteristic
793C2×C4×C17C22×D411yescharacteristic
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×C17C2511yescharacteristic
801C8×C17—21no—
802C8×C17—21no—
803C8×C17—21no—
804C8×C17—21no—
805C8×C17—21no—
806C8×C17—21no—
807C8×C17—21no—
808C8×C17C2×#4112yes—
809#3520C2×C1711yescharacteristic, complemented
810#3513C2×C1711yescharacteristic, complemented
811#3401C2×C1711yescharacteristic, complemented
812#3384C2×C1711yescharacteristic, complemented
813#3376C2×C1711yescharacteristic, complemented
814#3373C2×C1711yescharacteristic, complemented
815#3345C2×C1711yescharacteristic, complemented
816#3344C2×C1711yescharacteristic, complemented
817#3335C2×C1711yescharacteristic, complemented
818#3314C2×C1711yescharacteristic, complemented
819#3307C2×C1711yescharacteristic, complemented
820#3306C2×C1711yescharacteristic, complemented
821#3306C2×C1711yescharacteristic, complemented
822#3296C2×C1711yescharacteristic, complemented
823#3295C2×C1711yescharacteristic, complemented
824#3280C2×C1711yescharacteristic, complemented
825#3267C2×C1711yescharacteristic, complemented
826#3264C2×C1711yescharacteristic, complemented
827#3181C2×C1711yescharacteristic, complemented
828#3179C2×C1711yescharacteristic, complemented
829#3173C2×C1711yescharacteristic, complemented
830#3125C2×C1711yescharacteristic, complemented
831#3125C2×C1711yescharacteristic, complemented
832#3119C2×C1711yescharacteristic, complemented
833#3118C2×C1711yescharacteristic, complemented
834#3105C2×C1711yescharacteristic, complemented
835#3101C2×C1711yescharacteristic, complemented
836#2968C2×C1711yescharacteristic, complemented
837#2952C2×C1711yescharacteristic, complemented
838#2946C2×C1711yescharacteristic, complemented
839C2×#442C2×C1711yescharacteristic, complemented
840C22×C17—21no—
841C22×C17—21no—
842C22×C17—21no—
843C22×C17—21no—
844C22×C17—21no—
845C22×C17—21no—
846C22×C17—22no—
847C22×C17—22no—
848C22×C17—21no—
849C22×C17—21no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—41no—
863C22×C17—84no—
864C22×C17—84no—
865C22×C17—162no—
866C22×C17#57712yes—
867C22×C17C23×D411yescharacteristic
868C4×C17—21no—
869C4×C17—21no—
870C4×C17—21no—
871C4×C17—21no—
872C4×C17—21no—
873C4×C17—21no—
874C4×C17—21no—
875C4×C17—21no—
876C4×C17—21no—
877C4×C17—21no—
878C4×C17—21no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17C22×#4111yescharacteristic
891C4×C17#58511yescharacteristic
892C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
893C2×#135C22×C1711yescharacteristic
894C22×D8C22×C1711yescharacteristic
895#559C22×C1711yescharacteristic, complemented
896#556C22×C1711yescharacteristic, complemented
897#554C22×C1711yescharacteristic
898#554C22×C1711yescharacteristic, complemented
899#554C22×C1711yescharacteristic, complemented
900#553—21no—
901#553C22×C1711yescharacteristic, complemented
902#552—21no—
903#552C22×C1711yescharacteristic
904#551—21no—
905#551—21no—
906#551—21no—
907#551—21no—
908D4×Q8C22×C1711yescharacteristic, complemented
909#548—21no—
910#547C22×C1711yescharacteristic
911#547C22×C1711yescharacteristic, complemented
912#547C22×C1711yescharacteristic, complemented
913#546—21no—
914#546C22×C1711yescharacteristic
915#546C22×C1711yescharacteristic
916#546C22×C1711yescharacteristic, complemented
917#546C22×C1711yescharacteristic, complemented
918D42C22×C1711yescharacteristic
919#542C22×C1711yescharacteristic, complemented
920#542C22×C1711yescharacteristic, complemented
921#542C22×C1711yescharacteristic, complemented
922#540C22×C1711yescharacteristic, complemented
923#539—21no—
924#539—21no—
925#539—21no—
926#538—21no—
927#533C22×C1711yescharacteristic, complemented
928#529C22×C1711yescharacteristic
929#529C22×C1711yescharacteristic
930#525—21no—
931#525—21no—
932C2×#123—21no—
933C2×C22⋊Q8—21no—
934#520C22×C1711yescharacteristic, complemented
935#520C22×C1711yescharacteristic, complemented
936#520C22×C1711yescharacteristic, complemented
937#518C22×C1711yescharacteristic, complemented
938C2×C4×D4C22×C1711yescharacteristic
939C2×C4×D4C22×C1711yescharacteristic, complemented
940#501C22×C1711yescharacteristic, complemented
941#501C22×C1711yescharacteristic, complemented
942#498C22×C1711yescharacteristic, complemented
943#497C22×C1711yescharacteristic, complemented
944#496C22×C1711yescharacteristic
945#495C22×C1711yescharacteristic, complemented
946#491C22×C1711yescharacteristic, complemented
947#489C22×C1711yescharacteristic, complemented
948#489C22×C1711yescharacteristic, complemented
949#489C22×C1711yescharacteristic, complemented
950#488C22×C1711yescharacteristic, complemented
951#486C22×C1711yescharacteristic, complemented
952#485C22×C1711yescharacteristic, complemented
953#484C22×C1711yescharacteristic, complemented
954#483C22×C1711yescharacteristic, complemented
955#483C22×C1711yescharacteristic, complemented
956#483C22×C1711yescharacteristic, complemented
957#483C22×C1711yescharacteristic, complemented
958#482C22×C1711yescharacteristic, complemented
959#481C22×C1711yescharacteristic
960#481C22×C1711yescharacteristic, complemented
961#481C22×C1711yescharacteristic, complemented
962#481C22×C1711yescharacteristic, complemented
963#480C22×C1711yescharacteristic, complemented
964#479C22×C1711yescharacteristic, complemented
965#478C22×C1711yescharacteristic, complemented
966#478C22×C1711yescharacteristic, complemented
967#478C22×C1711yescharacteristic, complemented
968#476C22×C1711yescharacteristic, complemented
969#476C22×C1711yescharacteristic, complemented
970#476C22×C1711yescharacteristic, complemented
971#476C22×C1711yescharacteristic, complemented
972#476C22×C1711yescharacteristic, complemented
973#475C22×C1711yescharacteristic, complemented
974#475C22×C1711yescharacteristic, complemented
975#474C22×C1711yescharacteristic, complemented
976#470C22×C1711yescharacteristic, complemented
977#469C22×C1711yescharacteristic
978#469C22×C1711yescharacteristic, complemented
979#468C22×C1711yescharacteristic, complemented
980#467C22×C1711yescharacteristic, complemented
981#467C22×C1711yescharacteristic, complemented
982#466C22×C1711yescharacteristic, complemented
983#465C22×C1711yescharacteristic
984#465C22×C1711yescharacteristic
985#465C22×C1711yescharacteristic, complemented
986#465C22×C1711yescharacteristic, complemented
987#465C22×C1711yescharacteristic, complemented
988#464C22×C1711yescharacteristic, complemented
989#464C22×C1711yescharacteristic, complemented
990#463C22×C1711yescharacteristic
991#463C22×C1711yescharacteristic
992#463C22×C1711yescharacteristic, complemented
993#463C22×C1711yescharacteristic, complemented
994#463C22×C1711yescharacteristic, complemented
995#463C22×C1711yescharacteristic, complemented
996#461C22×C1711yescharacteristic, complemented
997#461C22×C1711yescharacteristic, complemented
998#460C22×C1711yescharacteristic, complemented
999#459C22×C1711yescharacteristic
1000#452C22×C1711yescharacteristic, complemented
1001#452C22×C1711yescharacteristic, complemented
1002#450C22×C1711yescharacteristic
1003#450C22×C1711yescharacteristic
1004#450C22×C1711yescharacteristic, complemented
1005#450C22×C1711yescharacteristic, complemented
1006#449C22×C1711yescharacteristic
1007#449C22×C1711yescharacteristic
1008#449C22×C1711yescharacteristic, complemented
1009#449C22×C1711yescharacteristic, complemented
1010#447C22×C1711yescharacteristic
1011#447C22×C1711yescharacteristic
1012#446C22×C1711yescharacteristic, complemented
1013#446C22×C1711yescharacteristic, complemented
1014#442C22×C1711yescharacteristic
1015#442C22×C1711yescharacteristic
1016#442C22×C1711yescharacteristic
1017#442C22×C1711yescharacteristic
1018#442C22×C1711yescharacteristic
1019#442C22×C1711yescharacteristic, complemented
1020#442C22×C1711yescharacteristic, complemented
1021#442C22×C1711yescharacteristic, complemented
1022#442C22×C1711yescharacteristic, complemented
1023#442C22×C1711yescharacteristic, complemented
1024#441C22×C1711yescharacteristic, complemented
1025#441C22×C1711yescharacteristic, complemented
1026#441C22×C1711yescharacteristic, complemented
1027#440C22×C1711yescharacteristic, complemented
1028#440C22×C1711yescharacteristic, complemented
1029#440C22×C1711yescharacteristic, complemented
1030C4×SD16C22×C1711yescharacteristic, complemented
1031C4×SD16C22×C1711yescharacteristic, complemented
1032C4×SD16C22×C1711yescharacteristic, complemented
1033C4×SD16C22×C1711yescharacteristic, complemented
1034C4×SD16C22×C1711yescharacteristic, complemented
1035C4×SD16C22×C1711yescharacteristic, complemented
1036C4×SD16C22×C1711yescharacteristic, complemented
1037C4×SD16C22×C1711yescharacteristic, complemented
1038C4×SD16C22×C1711yescharacteristic, complemented
1039C4×D8C22×C1711yescharacteristic
1040C4×D8C22×C1711yescharacteristic, complemented
1041C4×D8C22×C1711yescharacteristic, complemented
1042#435C22×C1711yescharacteristic
1043#435C22×C1711yescharacteristic, complemented
1044#435C22×C1711yescharacteristic, complemented
1045#435C22×C1711yescharacteristic, complemented
1046C8×D4C22×C1711yescharacteristic
1047C8×D4C22×C1711yescharacteristic, complemented
1048#433C22×C1711yescharacteristic, complemented
1049#433C22×C1711yescharacteristic, complemented
1050#431C22×C1711yescharacteristic, complemented
1051#428C22×C1711yescharacteristic, complemented
1052C2×#106C22×C1711yescharacteristic, complemented
1053C2×#106C22×C1711yescharacteristic, complemented
1054#417C22×C1711yescharacteristic, complemented
1055#417C22×C1711yescharacteristic, complemented
1056#416C22×C1711yescharacteristic, complemented
1057C2×#102C22×C1711yescharacteristic
1058C2×#102C22×C1711yescharacteristic, complemented
1059C2×#102C22×C1711yescharacteristic, complemented
1060#405C22×C1711yescharacteristic, complemented
1061#405C22×C1711yescharacteristic, complemented
1062C2×#97C22×C1711yescharacteristic, complemented
1063C2×C17—22no—
1064C2×C17—41no—
1065C2×C17—41no—
1066C2×C17—42no—
1067C2×C17—42no—
1068C2×C17—81no—
1069C2×C17—81no—
1070C2×C17—81no—
1071C2×C17D4×#4111yescharacteristic
1072C2×C17C2×#57711yescharacteristic
1073C2×C17#358511yescharacteristic
1074C2×#41—21no—
1075C2×#41—21no—
1076C2×#41C23×C1711yescharacteristic
1077C2×#41C23×C1711yescharacteristic
1078C2×#41C23×C1711yescharacteristic
1079C22×Q8—21no—
1080C22×D4—21no—
1081C22×D4C23×C1711yescharacteristic
1082C22×D4C23×C1711yescharacteristic
1083C22×D4C23×C1711yescharacteristic
1084C23×C4—21no—
1085C23×C4—21no—
1086AGL(1,ℤ/8)—24no—
1087#135—24no—
1088C2×Q16C23×C1711yescharacteristic
1089C2×Q16C23×C1711yescharacteristic
1090C2×SD16C23×C1711yescharacteristic
1091C2×SD16C23×C1711yescharacteristic
1092C2×SD16C23×C1711yescharacteristic
1093C2×SD16C23×C1711yescharacteristic
1094C2×SD16C23×C1711yescharacteristic
1095C2×SD16C23×C1711yescharacteristic
1096C2×SD16C23×C1711yescharacteristic
1097C2×SD16C23×C1711yescharacteristic
1098C2×D8—24no—
1099C2×D8C23×C1711yescharacteristic
1100C2×D8C23×C1711yescharacteristic
1101C2×D8C23×C1711yescharacteristic
1102C2×D8C23×C1711yescharacteristic
1103C2×D8C23×C1711yescharacteristic
1104C2×D8C23×C1711yescharacteristic
1105C2×M16C23×C1711yescharacteristic
1106C2×M16C23×C1711yescharacteristic
1107C22×C8C23×C1711yescharacteristic
1108C22×C8C23×C1711yescharacteristic
1109C22×C8C23×C1711yescharacteristic
1110C22×C8C23×C1711yescharacteristic
1111C4⋊Q8C23×C1711yescharacteristic
1112C4⋊Q8C23×C1711yescharacteristic
1113C4⋊Q8C23×C1711yescharacteristic
1114C4⋊Q8C23×C1711yescharacteristic
1115C4⋊Q8C23×C1711yescharacteristic
1116#127C23×C1711yescharacteristic
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126D4×C1711yescharacteristic
1126#126D4×C1711yescharacteristic
1127#125—21no—
1128#125—21no—
1129#125—21no—
1130#125—21no—
1131#125D4×C1711yescharacteristic
1132#125C23×C1711yescharacteristic
1133#125C23×C1711yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124D4×C1711yescharacteristic
1139#124C23×C1711yescharacteristic
1140#124C23×C1711yescharacteristic
1141#124C23×C1711yescharacteristic
1142#124C23×C1711yescharacteristic
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123D4×C1711yescharacteristic
1164#123D4×C1711yescharacteristic
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
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⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8D4×C1711yescharacteristic
1183C22⋊Q8C23×C1711yescharacteristic
1184C22⋊Q8C23×C1711yescharacteristic
1185C22⋊Q8C23×C1711yescharacteristic
1186C22⋊Q8C23×C1711yescharacteristic
1187C22⋊Q8C23×C1711yescharacteristic
1188C22⋊Q8C23×C1711yescharacteristic
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#121D4×C1711yescharacteristic
1199#121C23×C1711yescharacteristic
1200#121C23×C1711yescharacteristic
1201#121C23×C1711yescharacteristic
1202#121C23×C1711yescharacteristic
1203#121C23×C1711yescharacteristic
1204#121C23×C1711yescharacteristic
1205#120—21no—
1206#120—21no—
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—21no—
1211C4×Q8—21no—
1212C4×Q8C23×C1711yescharacteristic
1213C4×Q8C23×C1711yescharacteristic
1214C4×Q8C23×C1711yescharacteristic
1215C4×Q8C23×C1711yescharacteristic
1216C4×Q8C23×C1711yescharacteristic
1217C4×Q8C23×C1711yescharacteristic
1218C4×Q8C23×C1711yescharacteristic
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×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
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
1246C4×D4C23×C1711yescharacteristic
1247C4×D4C23×C1711yescharacteristic
1248C4×D4C23×C1711yescharacteristic
1249C4×D4C23×C1711yescharacteristic
1250C4×D4C23×C1711yescharacteristic
1251C4×D4C23×C1711yescharacteristic
1252C4×D4C23×C1711yescharacteristic
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117C23×C1711yescharacteristic
1261#117C23×C1711yescharacteristic
1262#117C23×C1711yescharacteristic
1263C2×C4⋊C4—21no—
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—21no—
1268C2×C4⋊C4C23×C1711yescharacteristic
1269C2×C4⋊C4C23×C1711yescharacteristic
1270C2×C4⋊C4C23×C1711yescharacteristic
1271C2×C4⋊C4C23×C1711yescharacteristic
1272C2×C4⋊C4C23×C1711yescharacteristic
1273C2×C22⋊C4—21no—
1274C2×C22⋊C4—21no—
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C42C23×C1711yescharacteristic
1282#107C23×C1711yescharacteristic
1283#107C23×C1711yescharacteristic
1284#107C23×C1711yescharacteristic
1285#107C23×C1711yescharacteristic
1286#106C23×C1711yescharacteristic
1287#106C23×C1711yescharacteristic
1288#106C23×C1711yescharacteristic
1289#106C23×C1711yescharacteristic
1290#106C23×C1711yescharacteristic
1291#106C23×C1711yescharacteristic
1292#106C23×C1711yescharacteristic
1293#106C23×C1711yescharacteristic
1294#106C23×C1711yescharacteristic
1295#106C23×C1711yescharacteristic
1296#106C23×C1711yescharacteristic
1297#106C23×C1711yescharacteristic
1298C4⋊C8C23×C1711yescharacteristic
1299C4⋊C8C23×C1711yescharacteristic
1300C4⋊C8C23×C1711yescharacteristic
1301C4⋊C8C23×C1711yescharacteristic
1302C4⋊C8C23×C1711yescharacteristic
1303C4⋊C8C23×C1711yescharacteristic
1304#103C23×C1711yescharacteristic
1305#103C23×C1711yescharacteristic
1306#103C23×C1711yescharacteristic
1307#103C23×C1711yescharacteristic
1308#103C23×C1711yescharacteristic
1309#103C23×C1711yescharacteristic
1310#103C23×C1711yescharacteristic
1311#103C23×C1711yescharacteristic
1312#103C23×C1711yescharacteristic
1313#103C23×C1711yescharacteristic
1314#103C23×C1711yescharacteristic
1315#103C23×C1711yescharacteristic
1316#102C23×C1711yescharacteristic
1317#102C23×C1711yescharacteristic
1318#102C23×C1711yescharacteristic
1319#102C23×C1711yescharacteristic
1320#102C23×C1711yescharacteristic
1321#102C23×C1711yescharacteristic
1322#102C23×C1711yescharacteristic
1323#102C23×C1711yescharacteristic
1324#102C23×C1711yescharacteristic
1325#102C23×C1711yescharacteristic
1326#102C23×C1711yescharacteristic
1327#102C23×C1711yescharacteristic
1328#102C23×C1711yescharacteristic
1329#102C23×C1711yescharacteristic
1330#102C23×C1711yescharacteristic
1331#102C23×C1711yescharacteristic
1332#102C23×C1711yescharacteristic
1333#102C23×C1711yescharacteristic
1334#102C23×C1711yescharacteristic
1335#102C23×C1711yescharacteristic
1336C22⋊C8C23×C1711yescharacteristic
1337C22⋊C8C23×C1711yescharacteristic
1338C22⋊C8C23×C1711yescharacteristic
1339C22⋊C8C23×C1711yescharacteristic
1340C22⋊C8C23×C1711yescharacteristic
1341C22⋊C8C23×C1711yescharacteristic
1342#97C23×C1711yescharacteristic
1343#97C23×C1711yescharacteristic
1344#97C23×C1711yescharacteristic
1345#97C23×C1711yescharacteristic
1346#97C23×C1711yescharacteristic
1347#97C23×C1711yescharacteristic
1348C4×C8C23×C1711yescharacteristic
1349C4×C8C23×C1711yescharacteristic
1350C4×C8C23×C1711yescharacteristic
1351C4×C8C23×C1711yescharacteristic
1352C17#6152211yescharacteristic, direct product factor, Sylow
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—82no—
1363#41—82no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—82no—
1369C2×Q8C2×D4×C1711yescharacteristic
1370C2×Q8C24×C1711yescharacteristic
1371C2×Q8C24×C1711yescharacteristic
1372C2×Q8C24×C1711yescharacteristic
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
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—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—82no—
1394C2×D4C2×D4×C1711yescharacteristic
1395C2×D4C2×D4×C1711yescharacteristic
1396C2×D4C2×D4×C1711yescharacteristic
1397C2×D4C24×C1711yescharacteristic
1398C2×D4C24×C1711yescharacteristic
1399C2×D4C24×C1711yescharacteristic
1400C2×D4C24×C1711yescharacteristic
1401C2×D4C24×C1711yescharacteristic
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—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—82no—
1425C22×C4—82no—
1426C22×C4C2×D4×C1711yescharacteristic
1427C22×C4C2×D4×C1711yescharacteristic
1428C22×C4C24×C1711yescharacteristic
1429C22×C4C24×C1711yescharacteristic
1430C22×C4C24×C1711yescharacteristic
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8#41×C1714yescomplemented
1447M16—22no—
1448M16—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C24×C1711yescharacteristic
1454C2×C8C24×C1711yescharacteristic
1455C2×C8C24×C1711yescharacteristic
1456C2×C8C24×C1711yescharacteristic
1457C2×C8C24×C1711yescharacteristic
1458C2×C8C24×C1711yescharacteristic
1459C2×C8C24×C1711yescharacteristic
1460C2×C8C24×C1711yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊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⋊C4C2×D4×C1711yescharacteristic
1489C4⋊C4C2×D4×C1711yescharacteristic
1490C4⋊C4C2×D4×C1711yescharacteristic
1491C4⋊C4C2×D4×C1711yescharacteristic
1492C4⋊C4C2×D4×C1711yescharacteristic
1493C4⋊C4C2×D4×C1711yescharacteristic
1494C4⋊C4C2×D4×C1711yescharacteristic
1495C4⋊C4C2×D4×C1711yescharacteristic
1496C4⋊C4C2×D4×C1711yescharacteristic
1497C4⋊C4C2×D4×C1711yescharacteristic
1498C4⋊C4C24×C1711yescharacteristic
1499C4⋊C4C24×C1711yescharacteristic
1500C4⋊C4C24×C1711yescharacteristic
1501C4⋊C4C24×C1711yescharacteristic
1502C4⋊C4C24×C1711yescharacteristic
1503C4⋊C4C24×C1711yescharacteristic
1504C4⋊C4C24×C1711yescharacteristic
1505C4⋊C4C24×C1711yescharacteristic
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊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⋊C4C2×D4×C1711yescharacteristic
1542C22⋊C4C2×D4×C1711yescharacteristic
1543C22⋊C4C2×D4×C1711yescharacteristic
1544C22⋊C4C2×D4×C1711yescharacteristic
1545C22⋊C4C2×D4×C1711yescharacteristic
1546C22⋊C4C2×D4×C1711yescharacteristic
1547C22⋊C4C2×D4×C1711yescharacteristic
1548C22⋊C4C2×D4×C1711yescharacteristic
1549C22⋊C4C2×D4×C1711yescharacteristic
1550C22⋊C4C2×D4×C1711yescharacteristic
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42C2×D4×C1711yescharacteristic
1559C42C2×D4×C1711yescharacteristic
1560C42C24×C1711yescharacteristic
1561C42C24×C1711yescharacteristic
1562C42C24×C1711yescharacteristic
1563C42C24×C1711yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—42no—
1573C23—42no—
1574C23—81no—
1575C23—81no—
1576C23—81no—
1577C23—81no—
1578C23C22×D4×C1711yescharacteristic
1579C23C22×D4×C1711yescharacteristic
1580C23C22×D4×C1711yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—42no—
1589Q8—81no—
1590Q8—81no—
1591Q8—81no—
1592D4—22no—
1593D4—22no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4C2×#41×C1712yes—
1618D4C2×#41×C1712yes—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—41no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4C22×D4×C1711yescharacteristic
1661C2×C4C22×D4×C1711yescharacteristic
1662C2×C4C22×D4×C1711yescharacteristic
1663C2×C4C22×D4×C1711yescharacteristic
1664C2×C4C22×D4×C1711yescharacteristic
1665C2×C4C22×D4×C1711yescharacteristic
1666C2×C4C22×D4×C1711yescharacteristic
1667C2×C4C22×D4×C1711yescharacteristic
1668C2×C4C22×D4×C1711yescharacteristic
1669C2×C4C22×D4×C1711yescharacteristic
1670C2×C4C22×D4×C1711yescharacteristic
1671C2×C4C25×C1711yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8C2×#41×C1712yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—22no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—84no—
1704C22—84no—
1705C22—162no—
1706C22C17×#57712yes—
1707C22C23×D4×C1711yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4C22×#41×C1711yescharacteristic
1731C4C17×#58511yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—42no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2D4×#41×C1711yescharacteristic
1741C2C2×C17×#57711yescharacteristic
1742C2C17×#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×#3520C2semidirect
2. C17×#3513C2semidirect
3. C17×#3401C2semidirect
4. C17×#3384C2semidirect
5. C17×#3376C2semidirect
6. C17×#3373C2semidirect
7. C17×#3345C2semidirect
8. C17×#3344C2semidirect
9. C17×#3335C2semidirect
10. C17×#3314C2semidirect
11. C17×#3307C2semidirect
12. C17×#3306C2semidirect
13. C17×#3306C2semidirect
14. C17×#3296C2semidirect
15. C17×#3295C2semidirect
16. C17×#3280C2semidirect
17. C17×#3267C2semidirect
18. C17×#3264C2semidirect
19. C17×#3181C2semidirect
20. C17×#3179C2semidirect
21. C17×#3173C2semidirect
22. C17×#3125C2semidirect
23. C17×#3125C2semidirect
24. C17×#3119C2semidirect
25. C17×#3118C2semidirect
26. C17×#3105C2semidirect
27. C17×#3101C2semidirect
28. C17×#2968C2semidirect
29. C17×#2952C2semidirect
30. C17×#2946C2semidirect
31. C2×C17×#442C2semidirect
35. C17×#559C22semidirect
36. C17×#556C22semidirect
38. C17×#554C22semidirect
39. C17×#554C22semidirect
41. C17×#553C22semidirect
48. D4×Q8×C17C22semidirect
51. C17×#547C22semidirect
52. C17×#547C22semidirect
56. C17×#546C22semidirect
57. C17×#546C22semidirect
59. C17×#542C22semidirect
60. C17×#542C22semidirect
61. C17×#542C22semidirect
62. C17×#540C22semidirect
67. C17×#533C22semidirect
74. C17×#520C22semidirect
75. C17×#520C22semidirect
76. C17×#520C22semidirect
77. C17×#518C22semidirect
79. C2×C4×D4×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#498C22semidirect
83. C17×#497C22semidirect
85. C17×#495C22semidirect
86. C17×#491C22semidirect
87. C17×#489C22semidirect
88. C17×#489C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
93. C17×#484C22semidirect
94. C17×#483C22semidirect
95. C17×#483C22semidirect
96. C17×#483C22semidirect
97. C17×#483C22semidirect
98. C17×#482C22semidirect
100. C17×#481C22semidirect
101. C17×#481C22semidirect
102. C17×#481C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#478C22semidirect
106. C17×#478C22semidirect
107. C17×#478C22semidirect
108. C17×#476C22semidirect
109. C17×#476C22semidirect
110. C17×#476C22semidirect
111. C17×#476C22semidirect
112. C17×#476C22semidirect
113. C17×#475C22semidirect
114. C17×#475C22semidirect
115. C17×#474C22semidirect
116. C17×#470C22semidirect
118. C17×#469C22semidirect
119. C17×#468C22semidirect
120. C17×#467C22semidirect
121. C17×#467C22semidirect
122. C17×#466C22semidirect
125. C17×#465C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
128. C17×#464C22semidirect
129. C17×#464C22semidirect
132. C17×#463C22semidirect
133. C17×#463C22semidirect
134. C17×#463C22semidirect
135. C17×#463C22semidirect
136. C17×#461C22semidirect
137. C17×#461C22semidirect
138. C17×#460C22semidirect
140. C17×#452C22semidirect
141. C17×#452C22semidirect
144. C17×#450C22semidirect
145. C17×#450C22semidirect
148. C17×#449C22semidirect
149. C17×#449C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
159. C17×#442C22semidirect
160. C17×#442C22semidirect
161. C17×#442C22semidirect
162. C17×#442C22semidirect
163. C17×#442C22semidirect
164. C17×#441C22semidirect
165. C17×#441C22semidirect
166. C17×#441C22semidirect
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
175. C4×SD16×C17C22semidirect
176. C4×SD16×C17C22semidirect
177. C4×SD16×C17C22semidirect
178. C4×SD16×C17C22semidirect
180. C4×D8×C17C22semidirect
181. C4×D8×C17C22semidirect
183. C17×#435C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
187. C8×D4×C17C22semidirect
188. C17×#433C22semidirect
189. C17×#433C22semidirect
190. C17×#431C22semidirect
191. C17×#428C22semidirect
192. C2×C17×#106C22semidirect
193. C2×C17×#106C22semidirect
194. C17×#417C22semidirect
195. C17×#417C22semidirect
196. C17×#416C22semidirect
198. C2×C17×#102C22semidirect
199. C2×C17×#102C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C2×C17×#97C22semidirect
574. D8×C17#41semidirect
692. #61522C17direct (N × H)
809. #3520C2×C17semidirect
810. #3513C2×C17semidirect
811. #3401C2×C17semidirect
812. #3384C2×C17semidirect
813. #3376C2×C17semidirect
814. #3373C2×C17semidirect
815. #3345C2×C17semidirect
816. #3344C2×C17semidirect
817. #3335C2×C17semidirect
818. #3314C2×C17semidirect
819. #3307C2×C17semidirect
820. #3306C2×C17semidirect
821. #3306C2×C17semidirect
822. #3296C2×C17semidirect
823. #3295C2×C17semidirect
824. #3280C2×C17semidirect
825. #3267C2×C17semidirect
826. #3264C2×C17semidirect
827. #3181C2×C17semidirect
828. #3179C2×C17semidirect
829. #3173C2×C17semidirect
830. #3125C2×C17semidirect
831. #3125C2×C17semidirect
832. #3119C2×C17semidirect
833. #3118C2×C17semidirect
834. #3105C2×C17semidirect
835. #3101C2×C17semidirect
836. #2968C2×C17semidirect
837. #2952C2×C17semidirect
838. #2946C2×C17semidirect
839. C2×#442C2×C17semidirect
895. #559C22×C17semidirect
896. #556C22×C17semidirect
898. #554C22×C17semidirect
899. #554C22×C17semidirect
901. #553C22×C17semidirect
908. D4×Q8C22×C17semidirect
911. #547C22×C17semidirect
912. #547C22×C17semidirect
916. #546C22×C17semidirect
917. #546C22×C17semidirect
919. #542C22×C17semidirect
920. #542C22×C17semidirect
921. #542C22×C17semidirect
922. #540C22×C17semidirect
927. #533C22×C17semidirect
934. #520C22×C17semidirect
935. #520C22×C17semidirect
936. #520C22×C17semidirect
937. #518C22×C17semidirect
939. C2×C4×D4C22×C17semidirect
940. #501C22×C17semidirect
941. #501C22×C17semidirect
942. #498C22×C17semidirect
943. #497C22×C17semidirect
945. #495C22×C17semidirect
946. #491C22×C17semidirect
947. #489C22×C17semidirect
948. #489C22×C17semidirect
949. #489C22×C17semidirect
950. #488C22×C17semidirect
951. #486C22×C17semidirect
952. #485C22×C17semidirect
953. #484C22×C17semidirect
954. #483C22×C17semidirect
955. #483C22×C17semidirect
956. #483C22×C17semidirect
957. #483C22×C17semidirect
958. #482C22×C17semidirect
960. #481C22×C17semidirect
961. #481C22×C17semidirect
962. #481C22×C17semidirect
963. #480C22×C17semidirect
964. #479C22×C17semidirect
965. #478C22×C17semidirect
966. #478C22×C17semidirect
967. #478C22×C17semidirect
968. #476C22×C17semidirect
969. #476C22×C17semidirect
970. #476C22×C17semidirect
971. #476C22×C17semidirect
972. #476C22×C17semidirect
973. #475C22×C17semidirect
974. #475C22×C17semidirect
975. #474C22×C17semidirect
976. #470C22×C17semidirect
978. #469C22×C17semidirect
979. #468C22×C17semidirect
980. #467C22×C17semidirect
981. #467C22×C17semidirect
982. #466C22×C17semidirect
985. #465C22×C17semidirect
986. #465C22×C17semidirect
987. #465C22×C17semidirect
988. #464C22×C17semidirect
989. #464C22×C17semidirect
992. #463C22×C17semidirect
993. #463C22×C17semidirect
994. #463C22×C17semidirect
995. #463C22×C17semidirect
996. #461C22×C17semidirect
997. #461C22×C17semidirect
998. #460C22×C17semidirect
1000. #452C22×C17semidirect
1001. #452C22×C17semidirect
1004. #450C22×C17semidirect
1005. #450C22×C17semidirect
1008. #449C22×C17semidirect
1009. #449C22×C17semidirect
1012. #446C22×C17semidirect
1013. #446C22×C17semidirect
1019. #442C22×C17semidirect
1020. #442C22×C17semidirect
1021. #442C22×C17semidirect
1022. #442C22×C17semidirect
1023. #442C22×C17semidirect
1024. #441C22×C17semidirect
1025. #441C22×C17semidirect
1026. #441C22×C17semidirect
1027. #440C22×C17semidirect
1028. #440C22×C17semidirect
1029. #440C22×C17semidirect
1030. C4×SD16C22×C17semidirect
1031. C4×SD16C22×C17semidirect
1032. C4×SD16C22×C17semidirect
1033. C4×SD16C22×C17semidirect
1034. C4×SD16C22×C17semidirect
1035. C4×SD16C22×C17semidirect
1036. C4×SD16C22×C17semidirect
1037. C4×SD16C22×C17semidirect
1038. C4×SD16C22×C17semidirect
1040. C4×D8C22×C17semidirect
1041. C4×D8C22×C17semidirect
1043. #435C22×C17semidirect
1044. #435C22×C17semidirect
1045. #435C22×C17semidirect
1047. C8×D4C22×C17semidirect
1048. #433C22×C17semidirect
1049. #433C22×C17semidirect
1050. #431C22×C17semidirect
1051. #428C22×C17semidirect
1052. C2×#106C22×C17semidirect
1053. C2×#106C22×C17semidirect
1054. #417C22×C17semidirect
1055. #417C22×C17semidirect
1056. #416C22×C17semidirect
1058. C2×#102C22×C17semidirect
1059. C2×#102C22×C17semidirect
1060. #405C22×C17semidirect
1061. #405C22×C17semidirect
1062. C2×#97C22×C17semidirect
1352. C17#61522direct (N × H)
1446. D8#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35202
C17×#35132
C17×#34012
C17×#33842
C17×#33762
C17×#33732
C17×#33452
C17×#33442
C17×#33352
C17×#33142
C17×#33072
C17×#33062
C17×#32962
C17×#32952
C17×#32802
C17×#32672
C17×#32642
C17×#31812
C17×#31792
C17×#31732
C17×#31252
C17×#31192
C17×#31182
C17×#31052
C17×#31012
C17×#29682
C17×#29522
C17×#29462
C2×C17×#4422
#6152217