Finite Group Databasebeta

← C17×#61519 #16919263

Subgroups — C17×#61519 #16919263

Order 4352.

1956 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3519C211yesmaximal, characteristic, complemented
2C17×#3513C211yesmaximal, characteristic, complemented
3C17×#3399C211yesmaximal, characteristic, complemented
4C17×#3389C211yesmaximal, characteristic, complemented
5C17×#3370C211yesmaximal, characteristic, complemented
6C17×#3366C211yesmaximal, characteristic, complemented
7C17×#3347C211yesmaximal, characteristic, complemented
8C17×#3345C211yesmaximal, characteristic, complemented
9C17×#3337C211yesmaximal, characteristic, complemented
10C17×#3319C211yesmaximal, characteristic, complemented
11C17×#3318C211yesmaximal, characteristic, complemented
12C17×#3318C211yesmaximal, characteristic, complemented
13C17×#3310C211yesmaximal, characteristic, complemented
14C17×#3297C211yesmaximal, characteristic, complemented
15C17×#3294C211yesmaximal, characteristic, complemented
16D4×D8×C17C211yesmaximal, characteristic, complemented
17C17×#3264C211yesmaximal, characteristic, complemented
18C17×#3264C211yesmaximal, characteristic, complemented
19C17×#3180C211yesmaximal, characteristic, complemented
20C17×#3179C211yesmaximal, characteristic, complemented
21C17×#3176C211yesmaximal, characteristic, complemented
22C17×#3122C211yesmaximal, characteristic, complemented
23C17×#3122C211yesmaximal, characteristic, complemented
24C17×#3119C211yesmaximal, characteristic, complemented
25C17×#3118C211yesmaximal, characteristic, complemented
26C17×#3105C211yesmaximal, characteristic, complemented
27C17×#3100C211yesmaximal, characteristic, complemented
28C17×#2968C211yesmaximal, characteristic, complemented
29C17×#2948C211yesmaximal, characteristic, complemented
30C17×#2946C211yesmaximal, characteristic, complemented
31C2×C17×#442C211yesmaximal, characteristic, complemented
32C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
33C22×D8×C17C2211yescharacteristic
34C22×D8×C17C2211yescharacteristic
35C17×#559C2211yescharacteristic, complemented
36C17×#555C2211yescharacteristic, complemented
37C17×#554C2211yescharacteristic, complemented
38C17×#554C2211yescharacteristic, complemented
39C17×#553—21no—
40C17×#553—21no—
41C17×#553C2211yescharacteristic
42C17×#553C2211yescharacteristic, complemented
43C17×#553C2211yescharacteristic, complemented
44C17×#552C2211yescharacteristic, complemented
45C17×#551—21no—
46C17×#551—21no—
47C17×#550C2211yescharacteristic, complemented
48C17×#547C2211yescharacteristic, complemented
49C17×#546—21no—
50C17×#546—21no—
51C17×#546—21no—
52C17×#546—21no—
53C17×#546C2211yescharacteristic, complemented
54C17×#546C2211yescharacteristic, complemented
55D42×C17C2211yescharacteristic
56D42×C17C2211yescharacteristic, complemented
57D42×C17C2211yescharacteristic, complemented
58D42×C17C2211yescharacteristic, complemented
59C17×#542C2211yescharacteristic, complemented
60C17×#540C2211yescharacteristic, complemented
61C17×#540C2211yescharacteristic, complemented
62C17×#540C2211yescharacteristic, complemented
63C17×#539—21no—
64C17×#538—21no—
65C17×#538—21no—
66C17×#538—21no—
67C17×#532C2211yescharacteristic, complemented
68C17×#529C2211yescharacteristic
69C17×#529C2211yescharacteristic, complemented
70C17×#525—21no—
71C17×#525—21no—
72C2×C17×#123—21no—
73C2×C17×#121—21no—
74C17×#520C2211yescharacteristic, complemented
75C17×#518C2211yescharacteristic, complemented
76C17×#518C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic, complemented
78C2×C4×D4×C17C2211yescharacteristic, complemented
79C2×C4×D4×C17C2211yescharacteristic, complemented
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#496C2211yescharacteristic, complemented
84C17×#496C2211yescharacteristic, complemented
85C17×#493C2211yescharacteristic, complemented
86C17×#490C2211yescharacteristic, complemented
87C17×#490C2211yescharacteristic, complemented
88C17×#490C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#484C2211yescharacteristic, complemented
94C17×#482C2211yescharacteristic, complemented
95C17×#482C2211yescharacteristic, complemented
96C17×#482C2211yescharacteristic, complemented
97C17×#482C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic, complemented
99C17×#481C2211yescharacteristic, complemented
100C17×#481C2211yescharacteristic, complemented
101C17×#480C2211yescharacteristic, complemented
102C17×#480C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#478C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic, complemented
108C17×#478C2211yescharacteristic, complemented
109C17×#478C2211yescharacteristic, complemented
110C17×#478C2211yescharacteristic, complemented
111C17×#478C2211yescharacteristic, complemented
112C17×#476C2211yescharacteristic, complemented
113C17×#474C2211yescharacteristic, complemented
114C17×#474C2211yescharacteristic, complemented
115C17×#474C2211yescharacteristic, complemented
116C17×#469C2211yescharacteristic, complemented
117C17×#469C2211yescharacteristic, complemented
118C17×#469C2211yescharacteristic, complemented
119C17×#468C2211yescharacteristic, complemented
120C17×#466C2211yescharacteristic, complemented
121C17×#466C2211yescharacteristic, complemented
122C17×#466C2211yescharacteristic, complemented
123C17×#466C2211yescharacteristic, complemented
124C17×#466C2211yescharacteristic, complemented
125C17×#465C2211yescharacteristic, complemented
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#463C2211yescharacteristic, complemented
129C17×#463C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic, complemented
131C17×#463C2211yescharacteristic, complemented
132C17×#460C2211yescharacteristic, complemented
133C17×#459C2211yescharacteristic
134C17×#459C2211yescharacteristic, complemented
135C17×#459C2211yescharacteristic, complemented
136C17×#459C2211yescharacteristic, complemented
137C17×#459C2211yescharacteristic, complemented
138C17×#459C2211yescharacteristic, complemented
139C17×#459C2211yescharacteristic, complemented
140C17×#450C2211yescharacteristic, complemented
141C17×#450C2211yescharacteristic, complemented
142C17×#449C2211yescharacteristic, complemented
143C17×#449C2211yescharacteristic, complemented
144C17×#447C2211yescharacteristic
145C17×#447C2211yescharacteristic
146C17×#447C2211yescharacteristic, complemented
147C17×#447C2211yescharacteristic, complemented
148C17×#447C2211yescharacteristic, complemented
149C17×#447C2211yescharacteristic, complemented
150C17×#447C2211yescharacteristic, complemented
151C17×#447C2211yescharacteristic, complemented
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#442C2211yescharacteristic, complemented
158C17×#442C2211yescharacteristic, complemented
159C17×#442C2211yescharacteristic, complemented
160C17×#442C2211yescharacteristic, complemented
161C17×#442C2211yescharacteristic, complemented
162C17×#442C2211yescharacteristic, complemented
163C17×#442C2211yescharacteristic, complemented
164C17×#442C2211yescharacteristic, complemented
165C17×#442C2211yescharacteristic, complemented
166C17×#442C2211yescharacteristic, complemented
167C17×#440C2211yescharacteristic, complemented
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, complemented
170C4×SD16×C17C2211yescharacteristic, complemented
171C4×SD16×C17C2211yescharacteristic, complemented
172C4×SD16×C17C2211yescharacteristic, complemented
173C4×D8×C17C2211yescharacteristic
174C4×D8×C17C2211yescharacteristic, complemented
175C4×D8×C17C2211yescharacteristic, complemented
176C4×D8×C17C2211yescharacteristic, complemented
177C4×D8×C17C2211yescharacteristic, complemented
178C4×D8×C17C2211yescharacteristic, complemented
179C4×D8×C17C2211yescharacteristic, complemented
180C4×D8×C17C2211yescharacteristic, complemented
181C4×D8×C17C2211yescharacteristic, complemented
182C17×#435C2211yescharacteristic, complemented
183C17×#435C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C8×D4×C17C2211yescharacteristic, complemented
187C8×D4×C17C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#431C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C17×#427C2211yescharacteristic, complemented
193C2×C17×#106C2211yescharacteristic, complemented
194C17×#418C2211yescharacteristic, complemented
195C17×#418C2211yescharacteristic, complemented
196C17×#416C2211yescharacteristic, complemented
197C2×C17×#102C2211yescharacteristic, complemented
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×C17—21no—
206C2×#41×C17C2311yescharacteristic
207C22×D4×C17—21no—
208C22×D4×C17—21no—
209C22×D4×C17—21no—
210C22×D4×C17—21no—
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C22×D4×C17C2311yescharacteristic
214C22×D4×C17C2311yescharacteristic
215C22×D4×C17C2311yescharacteristic
216C23×C4×C17—21no—
217C23×C4×C17—21no—
218C17×AGL(1,ℤ/8)—24no—
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×D8×C17—24no—
224C2×D8×C17—24no—
225C2×D8×C17C2311yescharacteristic
226C2×D8×C17C2311yescharacteristic
227C2×D8×C17C2311yescharacteristic
228C2×D8×C17C2311yescharacteristic
229C2×D8×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×D8×C17C2311yescharacteristic
232C2×D8×C17C2311yescharacteristic
233C2×D8×C17C2311yescharacteristic
234C2×D8×C17C2311yescharacteristic
235C2×D8×C17C2311yescharacteristic
236C2×D8×C17C2311yescharacteristic
237C2×M16×C17C2311yescharacteristic
238C2×M16×C17C2311yescharacteristic
239C22×C8×C17C2311yescharacteristic
240C22×C8×C17C2311yescharacteristic
241C22×C8×C17C2311yescharacteristic
242C22×C8×C17C2311yescharacteristic
243C17×C4⋊Q8C2311yescharacteristic
244C17×C4⋊Q8C2311yescharacteristic
245C17×#127C2311yescharacteristic
246C17×#127C2311yescharacteristic
247C17×#127C2311yescharacteristic
248C17×#127C2311yescharacteristic
249C17×#126—21no—
250C17×#126—21no—
251C17×#126—21no—
252C17×#126—21no—
253C17×#126—21no—
254C17×#126—21no—
255C17×#126D411yescharacteristic
256C17×#126D411yescharacteristic
257C17×#125—21no—
258C17×#125D411yescharacteristic
259C17×#125C2311yescharacteristic
260C17×#125C2311yescharacteristic
261C17×#125C2311yescharacteristic
262C17×#125C2311yescharacteristic
263C17×#124—21no—
264C17×#124—21no—
265C17×#124—21no—
266C17×#124—21no—
267C17×#124—21no—
268C17×#124D411yescharacteristic
269C17×#124C2311yescharacteristic
270C17×#124C2311yescharacteristic
271C17×#123—21no—
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×#123D411yescharacteristic
290C17×#123D411yescharacteristic
291C17×C22⋊Q8—21no—
292C17×C22⋊Q8—21no—
293C17×C22⋊Q8—21no—
294C17×C22⋊Q8—21no—
295C17×C22⋊Q8—21no—
296C17×C22⋊Q8—21no—
297C17×C22⋊Q8—21no—
298C17×C22⋊Q8—21no—
299C17×C22⋊Q8D411yescharacteristic
300C17×C22⋊Q8C2311yescharacteristic
301C17×C22⋊Q8C2311yescharacteristic
302C17×#121—21no—
303C17×#121—21no—
304C17×#121—21no—
305C17×#121—21no—
306C17×#121—21no—
307C17×#121—21no—
308C17×#121—21no—
309C17×#121—21no—
310C17×#121—21no—
311C17×#121—21no—
312C17×#121—21no—
313C17×#121—21no—
314C17×#121—21no—
315C17×#121—21no—
316C17×#121—21no—
317C17×#121—21no—
318C17×#121—21no—
319C17×#121—21no—
320C17×#121—21no—
321C17×#121—21no—
322C17×#121D411yescharacteristic
323C17×#121C2311yescharacteristic
324C17×#121C2311yescharacteristic
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—
337C17×#120—21no—
338C17×#120—21no—
339C17×#120—21no—
340C17×#120—21no—
341C17×#120—21no—
342C17×#120—21no—
343C4×Q8×C17C2311yescharacteristic
344C4×Q8×C17C2311yescharacteristic
345C4×Q8×C17C2311yescharacteristic
346C4×D4×C17—21no—
347C4×D4×C17—21no—
348C4×D4×C17—21no—
349C4×D4×C17—21no—
350C4×D4×C17—21no—
351C4×D4×C17—21no—
352C4×D4×C17—21no—
353C4×D4×C17—21no—
354C4×D4×C17—21no—
355C4×D4×C17—21no—
356C4×D4×C17—21no—
357C4×D4×C17—21no—
358C4×D4×C17—21no—
359C4×D4×C17—21no—
360C4×D4×C17—21no—
361C4×D4×C17—21no—
362C4×D4×C17—21no—
363C4×D4×C17—21no—
364C4×D4×C17C2311yescharacteristic
365C4×D4×C17C2311yescharacteristic
366C4×D4×C17C2311yescharacteristic
367C4×D4×C17C2311yescharacteristic
368C4×D4×C17C2311yescharacteristic
369C4×D4×C17C2311yescharacteristic
370C4×D4×C17C2311yescharacteristic
371C4×D4×C17C2311yescharacteristic
372C4×D4×C17C2311yescharacteristic
373C4×D4×C17C2311yescharacteristic
374C4×D4×C17C2311yescharacteristic
375C4×D4×C17C2311yescharacteristic
376C4×D4×C17C2311yescharacteristic
377C4×D4×C17C2311yescharacteristic
378C4×D4×C17C2311yescharacteristic
379C4×D4×C17C2311yescharacteristic
380C4×D4×C17C2311yescharacteristic
381C4×D4×C17C2311yescharacteristic
382C4×D4×C17C2311yescharacteristic
383C4×D4×C17C2311yescharacteristic
384C4×D4×C17C2311yescharacteristic
385C17×#117—21no—
386C17×#117—21no—
387C17×#117—21no—
388C17×#117—21no—
389C17×#117C2311yescharacteristic
390C17×#117C2311yescharacteristic
391C17×#117C2311yescharacteristic
392C17×#117C2311yescharacteristic
393C17×#117C2311yescharacteristic
394C2×C4⋊C4×C17—21no—
395C2×C4⋊C4×C17—21no—
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17C2311yescharacteristic
398C2×C4⋊C4×C17C2311yescharacteristic
399C2×C4⋊C4×C17C2311yescharacteristic
400C2×C22⋊C4×C17—21no—
401C2×C22⋊C4×C17—21no—
402C2×C22⋊C4×C17—21no—
403C2×C22⋊C4×C17—21no—
404C2×C22⋊C4×C17—21no—
405C2×C22⋊C4×C17—21no—
406C2×C22⋊C4×C17—21no—
407C2×C22⋊C4×C17—21no—
408C2×C22⋊C4×C17—21no—
409C2×C22⋊C4×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×#102C2311yescharacteristic
438C17×#102C2311yescharacteristic
439C17×#102C2311yescharacteristic
440C17×#102C2311yescharacteristic
441C17×#102C2311yescharacteristic
442C17×#102C2311yescharacteristic
443C17×#102C2311yescharacteristic
444C17×#102C2311yescharacteristic
445C17×#102C2311yescharacteristic
446C17×#102C2311yescharacteristic
447C17×#102C2311yescharacteristic
448C17×#102C2311yescharacteristic
449C17×#102C2311yescharacteristic
450C17×#102C2311yescharacteristic
451C17×#102C2311yescharacteristic
452C17×#102C2311yescharacteristic
453C17×#102C2311yescharacteristic
454C17×#102C2311yescharacteristic
455C17×#102C2311yescharacteristic
456C17×#102C2311yescharacteristic
457C17×#102C2311yescharacteristic
458C17×#102C2311yescharacteristic
459C17×#102C2311yescharacteristic
460C17×#102C2311yescharacteristic
461C17×#102C2311yescharacteristic
462C17×#102C2311yescharacteristic
463C17×#102C2311yescharacteristic
464C17×#102C2311yescharacteristic
465C17×C22⋊C8C2311yescharacteristic
466C17×C22⋊C8C2311yescharacteristic
467C17×C22⋊C8C2311yescharacteristic
468C17×C22⋊C8C2311yescharacteristic
469C17×C22⋊C8C2311yescharacteristic
470C17×C22⋊C8C2311yescharacteristic
471C17×#97C2311yescharacteristic
472C17×#97C2311yescharacteristic
473C17×#97C2311yescharacteristic
474C17×#97C2311yescharacteristic
475C17×#97C2311yescharacteristic
476C17×#97C2311yescharacteristic
477C4×C8×C17C2311yescharacteristic
478C4×C8×C17C2311yescharacteristic
479C4×C8×C17C2311yescharacteristic
480C4×C8×C17C2311yescharacteristic
481C24×C17—21no—
482C24×C17—21no—
483C24×C17—21no—
484C24×C17—21no—
485C24×C17—21no—
486#41×C17—22no—
487#41×C17—41no—
488#41×C17—82no—
489#41×C17—82no—
490#41×C17—82no—
491C2×Q8×C17—21no—
492C2×Q8×C17—21no—
493C2×Q8×C17C2×D411yescharacteristic
494C2×Q8×C17C2411yescharacteristic
495C2×D4×C17—22no—
496C2×D4×C17—22no—
497C2×D4×C17—22no—
498C2×D4×C17—22no—
499C2×D4×C17—22no—
500C2×D4×C17—21no—
501C2×D4×C17—21no—
502C2×D4×C17—21no—
503C2×D4×C17—21no—
504C2×D4×C17—21no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—21no—
508C2×D4×C17—21no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—21no—
514C2×D4×C17—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—21no—
518C2×D4×C17—21no—
519C2×D4×C17—21no—
520C2×D4×C17—21no—
521C2×D4×C17—21no—
522C2×D4×C17—21no—
523C2×D4×C17—21no—
524C2×D4×C17—41no—
525C2×D4×C17—41no—
526C2×D4×C17—41no—
527C2×D4×C17—41no—
528C2×D4×C17—41no—
529C2×D4×C17—82no—
530C2×D4×C17—82no—
531C2×D4×C17—82no—
532C2×D4×C17—82no—
533C2×D4×C17C2×D411yescharacteristic
534C2×D4×C17C2×D411yescharacteristic
535C2×D4×C17C2×D411yescharacteristic
536C2×D4×C17C2411yescharacteristic
537C2×D4×C17C2411yescharacteristic
538C2×D4×C17C2411yescharacteristic
539C2×D4×C17C2411yescharacteristic
540C2×D4×C17C2411yescharacteristic
541C2×D4×C17C2411yescharacteristic
542C2×D4×C17C2411yescharacteristic
543C22×C4×C17—21no—
544C22×C4×C17—21no—
545C22×C4×C17—21no—
546C22×C4×C17—21no—
547C22×C4×C17—21no—
548C22×C4×C17—21no—
549C22×C4×C17—21no—
550C22×C4×C17—21no—
551C22×C4×C17—21no—
552C22×C4×C17—21no—
553C22×C4×C17—21no—
554C22×C4×C17—21no—
555C22×C4×C17—21no—
556C22×C4×C17—21no—
557C22×C4×C17—21no—
558C22×C4×C17—21no—
559C22×C4×C17—21no—
560C22×C4×C17—21no—
561C22×C4×C17—21no—
562C22×C4×C17—21no—
563C22×C4×C17—21no—
564C22×C4×C17—21no—
565C22×C4×C17—82no—
566C22×C4×C17—82no—
567C22×C4×C17C2×D411yescharacteristic
568C22×C4×C17C2×D411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572SD16×C17—22no—
573SD16×C17—22no—
574SD16×C17—41no—
575SD16×C17—41no—
576D8×C17—22no—
577D8×C17—22no—
578D8×C17—22no—
579D8×C17—22no—
580D8×C17—22no—
581D8×C17—22no—
582D8×C17—22no—
583D8×C17—41no—
584D8×C17—41no—
585D8×C17—41no—
586D8×C17—41no—
587D8×C17#4114yescomplemented
588M16×C17—22no—
589M16×C17—41no—
590C2×C8×C17—22no—
591C2×C8×C17—22no—
592C2×C8×C17—41no—
593C2×C8×C17—41no—
594C2×C8×C17C2411yescharacteristic
595C2×C8×C17C2411yescharacteristic
596C2×C8×C17C2411yescharacteristic
597C2×C8×C17C2411yescharacteristic
598C2×C8×C17C2411yescharacteristic
599C2×C8×C17C2411yescharacteristic
600C2×C8×C17C2411yescharacteristic
601C2×C8×C17C2411yescharacteristic
602C4⋊C4×C17—21no—
603C4⋊C4×C17—21no—
604C4⋊C4×C17—21no—
605C4⋊C4×C17—21no—
606C4⋊C4×C17—21no—
607C4⋊C4×C17—21no—
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17—21no—
614C4⋊C4×C17—21no—
615C4⋊C4×C17—21no—
616C4⋊C4×C17—21no—
617C4⋊C4×C17—21no—
618C4⋊C4×C17—21no—
619C4⋊C4×C17C2×D411yescharacteristic
620C4⋊C4×C17C2×D411yescharacteristic
621C4⋊C4×C17C2×D411yescharacteristic
622C4⋊C4×C17C2×D411yescharacteristic
623C4⋊C4×C17C2×D411yescharacteristic
624C4⋊C4×C17C2×D411yescharacteristic
625C4⋊C4×C17C2×D411yescharacteristic
626C4⋊C4×C17C2×D411yescharacteristic
627C4⋊C4×C17C2×D411yescharacteristic
628C4⋊C4×C17C2×D411yescharacteristic
629C4⋊C4×C17C2411yescharacteristic
630C4⋊C4×C17C2411yescharacteristic
631C4⋊C4×C17C2411yescharacteristic
632C4⋊C4×C17C2411yescharacteristic
633C4⋊C4×C17C2411yescharacteristic
634C4⋊C4×C17C2411yescharacteristic
635C4⋊C4×C17C2411yescharacteristic
636C4⋊C4×C17C2411yescharacteristic
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×C17—21no—
670C22⋊C4×C17—21no—
671C22⋊C4×C17—21no—
672C22⋊C4×C17—21no—
673C22⋊C4×C17—21no—
674C22⋊C4×C17C2×D411yescharacteristic
675C22⋊C4×C17C2×D411yescharacteristic
676C22⋊C4×C17C2×D411yescharacteristic
677C22⋊C4×C17C2×D411yescharacteristic
678C22⋊C4×C17C2×D411yescharacteristic
679C22⋊C4×C17C2×D411yescharacteristic
680C22⋊C4×C17C2×D411yescharacteristic
681C22⋊C4×C17C2×D411yescharacteristic
682C22⋊C4×C17C2×D411yescharacteristic
683C22⋊C4×C17C2×D411yescharacteristic
684C42×C17—21no—
685C42×C17—21no—
686C42×C17—21no—
687C42×C17—21no—
688C42×C17—21no—
689C42×C17C2×D411yescharacteristic
690C42×C17C2×D411yescharacteristic
691C42×C17C2411yescharacteristic
692C42×C17C2411yescharacteristic
693C42×C17C2411yescharacteristic
694C42×C17C2411yescharacteristic
695#61519C1711yesmaximal, characteristic, direct product factor, Sylow
696C23×C17—21no—
697C23×C17—21no—
698C23×C17—21no—
699C23×C17—21no—
700C23×C17—21no—
701C23×C17—21no—
702C23×C17—21no—
703C23×C17—42no—
704C23×C17—42no—
705C23×C17—42no—
706C23×C17—42no—
707C23×C17—42no—
708C23×C17—42no—
709C23×C17—42no—
710C23×C17—81no—
711C23×C17—81no—
712C23×C17—81no—
713C23×C17—81no—
714C23×C17—81no—
715C23×C17—81no—
716C23×C17—81no—
717C23×C17—81no—
718C23×C17C22×D411yescharacteristic
719C23×C17C22×D411yescharacteristic
720C23×C17C22×D411yescharacteristic
721Q8×C17—21no—
722Q8×C17—21no—
723Q8×C17—41no—
724Q8×C17—81no—
725Q8×C17—81no—
726D4×C17—22no—
727D4×C17—22no—
728D4×C17—21no—
729D4×C17—21no—
730D4×C17—21no—
731D4×C17—21no—
732D4×C17—21no—
733D4×C17—21no—
734D4×C17—21no—
735D4×C17—21no—
736D4×C17—21no—
737D4×C17—21no—
738D4×C17—21no—
739D4×C17—21no—
740D4×C17—41no—
741D4×C17—42no—
742D4×C17—42no—
743D4×C17—42no—
744D4×C17—42no—
745D4×C17—42no—
746D4×C17—42no—
747D4×C17—42no—
748D4×C17—42no—
749D4×C17—42no—
750D4×C17—42no—
751D4×C17—81no—
752D4×C17—81no—
753D4×C17—81no—
754D4×C17—81no—
755D4×C17—81no—
756D4×C17—81no—
757D4×C17—81no—
758D4×C17—81no—
759D4×C17—81no—
760D4×C17—81no—
761D4×C17—81no—
762D4×C17—81no—
763D4×C17—81no—
764D4×C17—81no—
765D4×C17C2×#4112yes—
766D4×C17C2×#4112yes—
767C2×C4×C17—22no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C2×C4×C17—21no—
780C2×C4×C17—21no—
781C2×C4×C17—21no—
782C2×C4×C17—21no—
783C2×C4×C17—41no—
784C2×C4×C17—42no—
785C2×C4×C17—42no—
786C2×C4×C17—42no—
787C2×C4×C17—42no—
788C2×C4×C17—81no—
789C2×C4×C17—81no—
790C2×C4×C17—81no—
791C2×C4×C17—81no—
792C2×C4×C17—81no—
793C2×C4×C17—81no—
794C2×C4×C17—81no—
795C2×C4×C17—81no—
796C2×C4×C17—81no—
797C2×C4×C17—81no—
798C2×C4×C17—81no—
799C2×C4×C17—81no—
800C2×C4×C17—81no—
801C2×C4×C17—81no—
802C2×C4×C17—81no—
803C2×C4×C17—81no—
804C2×C4×C17—81no—
805C2×C4×C17—81no—
806C2×C4×C17C22×D411yescharacteristic
807C2×C4×C17C22×D411yescharacteristic
808C2×C4×C17C22×D411yescharacteristic
809C2×C4×C17C22×D411yescharacteristic
810C2×C4×C17C22×D411yescharacteristic
811C2×C4×C17C22×D411yescharacteristic
812C2×C4×C17C22×D411yescharacteristic
813C2×C4×C17C22×D411yescharacteristic
814C2×C4×C17C22×D411yescharacteristic
815C2×C4×C17C22×D411yescharacteristic
816C2×C4×C17C22×D411yescharacteristic
817C2×C4×C17C2511yescharacteristic
818C8×C17—21no—
819C8×C17—21no—
820C8×C17—21no—
821C8×C17—21no—
822C8×C17—21no—
823C8×C17—21no—
824C8×C17—21no—
825C8×C17C2×#4112yes—
826#3519C2×C1711yescharacteristic, complemented
827#3513C2×C1711yescharacteristic, complemented
828#3399C2×C1711yescharacteristic, complemented
829#3389C2×C1711yescharacteristic, complemented
830#3370C2×C1711yescharacteristic, complemented
831#3366C2×C1711yescharacteristic, complemented
832#3347C2×C1711yescharacteristic, complemented
833#3345C2×C1711yescharacteristic, complemented
834#3337C2×C1711yescharacteristic, complemented
835#3319C2×C1711yescharacteristic, complemented
836#3318C2×C1711yescharacteristic, complemented
837#3318C2×C1711yescharacteristic, complemented
838#3310C2×C1711yescharacteristic, complemented
839#3297C2×C1711yescharacteristic, complemented
840#3294C2×C1711yescharacteristic, complemented
841D4×D8C2×C1711yescharacteristic, complemented
842#3264C2×C1711yescharacteristic, complemented
843#3264C2×C1711yescharacteristic, complemented
844#3180C2×C1711yescharacteristic, complemented
845#3179C2×C1711yescharacteristic, complemented
846#3176C2×C1711yescharacteristic, complemented
847#3122C2×C1711yescharacteristic, complemented
848#3122C2×C1711yescharacteristic, complemented
849#3119C2×C1711yescharacteristic, complemented
850#3118C2×C1711yescharacteristic, complemented
851#3105C2×C1711yescharacteristic, complemented
852#3100C2×C1711yescharacteristic, complemented
853#2968C2×C1711yescharacteristic, complemented
854#2948C2×C1711yescharacteristic, complemented
855#2946C2×C1711yescharacteristic, complemented
856C2×#442C2×C1711yescharacteristic, complemented
857C22×C17—21no—
858C22×C17—21no—
859C22×C17—21no—
860C22×C17—21no—
861C22×C17—21no—
862C22×C17—21no—
863C22×C17—22no—
864C22×C17—22no—
865C22×C17—21no—
866C22×C17—21no—
867C22×C17—41no—
868C22×C17—41no—
869C22×C17—41no—
870C22×C17—41no—
871C22×C17—41no—
872C22×C17—41no—
873C22×C17—41no—
874C22×C17—41no—
875C22×C17—41no—
876C22×C17—41no—
877C22×C17—41no—
878C22×C17—41no—
879C22×C17—41no—
880C22×C17—41no—
881C22×C17—41no—
882C22×C17—41no—
883C22×C17—41no—
884C22×C17—41no—
885C22×C17—41no—
886C22×C17—84no—
887C22×C17—84no—
888C22×C17—162no—
889C22×C17—162no—
890C22×C17—162no—
891C22×C17#57612yes—
892C22×C17C23×D411yescharacteristic
893C4×C17—21no—
894C4×C17—21no—
895C4×C17—21no—
896C4×C17—21no—
897C4×C17—21no—
898C4×C17—21no—
899C4×C17—21no—
900C4×C17—21no—
901C4×C17—21no—
902C4×C17—21no—
903C4×C17—21no—
904C4×C17—41no—
905C4×C17—41no—
906C4×C17—41no—
907C4×C17—41no—
908C4×C17—41no—
909C4×C17—41no—
910C4×C17—41no—
911C4×C17—41no—
912C4×C17—41no—
913C4×C17C22×#4111yescharacteristic
914C4×C17#58511yescharacteristic
915C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
916C22×D8C22×C1711yescharacteristic
917C22×D8C22×C1711yescharacteristic
918#559C22×C1711yescharacteristic, complemented
919#555C22×C1711yescharacteristic, complemented
920#554C22×C1711yescharacteristic, complemented
921#554C22×C1711yescharacteristic, complemented
922#553—21no—
923#553—21no—
924#553C22×C1711yescharacteristic
925#553C22×C1711yescharacteristic, complemented
926#553C22×C1711yescharacteristic, complemented
927#552C22×C1711yescharacteristic, complemented
928#551—21no—
929#551—21no—
930#550C22×C1711yescharacteristic, complemented
931#547C22×C1711yescharacteristic, complemented
932#546—21no—
933#546—21no—
934#546—21no—
935#546—21no—
936#546C22×C1711yescharacteristic, complemented
937#546C22×C1711yescharacteristic, complemented
938D42C22×C1711yescharacteristic
939D42C22×C1711yescharacteristic, complemented
940D42C22×C1711yescharacteristic, complemented
941D42C22×C1711yescharacteristic, complemented
942#542C22×C1711yescharacteristic, complemented
943#540C22×C1711yescharacteristic, complemented
944#540C22×C1711yescharacteristic, complemented
945#540C22×C1711yescharacteristic, complemented
946#539—21no—
947#538—21no—
948#538—21no—
949#538—21no—
950#532C22×C1711yescharacteristic, complemented
951#529C22×C1711yescharacteristic
952#529C22×C1711yescharacteristic, complemented
953#525—21no—
954#525—21no—
955C2×#123—21no—
956C2×#121—21no—
957#520C22×C1711yescharacteristic, complemented
958#518C22×C1711yescharacteristic, complemented
959#518C22×C1711yescharacteristic, complemented
960#518C22×C1711yescharacteristic, complemented
961C2×C4×D4C22×C1711yescharacteristic, complemented
962C2×C4×D4C22×C1711yescharacteristic, complemented
963#501C22×C1711yescharacteristic, complemented
964#501C22×C1711yescharacteristic, complemented
965#499C22×C1711yescharacteristic, complemented
966#496C22×C1711yescharacteristic, complemented
967#496C22×C1711yescharacteristic, complemented
968#493C22×C1711yescharacteristic, complemented
969#490C22×C1711yescharacteristic, complemented
970#490C22×C1711yescharacteristic, complemented
971#490C22×C1711yescharacteristic, complemented
972#489C22×C1711yescharacteristic, complemented
973#488C22×C1711yescharacteristic, complemented
974#486C22×C1711yescharacteristic, complemented
975#485C22×C1711yescharacteristic, complemented
976#484C22×C1711yescharacteristic, complemented
977#482C22×C1711yescharacteristic, complemented
978#482C22×C1711yescharacteristic, complemented
979#482C22×C1711yescharacteristic, complemented
980#482C22×C1711yescharacteristic, complemented
981#482C22×C1711yescharacteristic, complemented
982#481C22×C1711yescharacteristic, complemented
983#481C22×C1711yescharacteristic, complemented
984#480C22×C1711yescharacteristic, complemented
985#480C22×C1711yescharacteristic, complemented
986#480C22×C1711yescharacteristic, complemented
987#479C22×C1711yescharacteristic, complemented
988#478C22×C1711yescharacteristic, complemented
989#478C22×C1711yescharacteristic, complemented
990#478C22×C1711yescharacteristic, complemented
991#478C22×C1711yescharacteristic, complemented
992#478C22×C1711yescharacteristic, complemented
993#478C22×C1711yescharacteristic, complemented
994#478C22×C1711yescharacteristic, complemented
995#476C22×C1711yescharacteristic, complemented
996#474C22×C1711yescharacteristic, complemented
997#474C22×C1711yescharacteristic, complemented
998#474C22×C1711yescharacteristic, complemented
999#469C22×C1711yescharacteristic, complemented
1000#469C22×C1711yescharacteristic, complemented
1001#469C22×C1711yescharacteristic, complemented
1002#468C22×C1711yescharacteristic, complemented
1003#466C22×C1711yescharacteristic, complemented
1004#466C22×C1711yescharacteristic, complemented
1005#466C22×C1711yescharacteristic, complemented
1006#466C22×C1711yescharacteristic, complemented
1007#466C22×C1711yescharacteristic, complemented
1008#465C22×C1711yescharacteristic, complemented
1009#465C22×C1711yescharacteristic, complemented
1010#465C22×C1711yescharacteristic, complemented
1011#463C22×C1711yescharacteristic, complemented
1012#463C22×C1711yescharacteristic, complemented
1013#463C22×C1711yescharacteristic, complemented
1014#463C22×C1711yescharacteristic, complemented
1015#460C22×C1711yescharacteristic, complemented
1016#459C22×C1711yescharacteristic
1017#459C22×C1711yescharacteristic, complemented
1018#459C22×C1711yescharacteristic, complemented
1019#459C22×C1711yescharacteristic, complemented
1020#459C22×C1711yescharacteristic, complemented
1021#459C22×C1711yescharacteristic, complemented
1022#459C22×C1711yescharacteristic, complemented
1023#450C22×C1711yescharacteristic, complemented
1024#450C22×C1711yescharacteristic, complemented
1025#449C22×C1711yescharacteristic, complemented
1026#449C22×C1711yescharacteristic, complemented
1027#447C22×C1711yescharacteristic
1028#447C22×C1711yescharacteristic
1029#447C22×C1711yescharacteristic, complemented
1030#447C22×C1711yescharacteristic, complemented
1031#447C22×C1711yescharacteristic, complemented
1032#447C22×C1711yescharacteristic, complemented
1033#447C22×C1711yescharacteristic, complemented
1034#447C22×C1711yescharacteristic, complemented
1035#446C22×C1711yescharacteristic, complemented
1036#446C22×C1711yescharacteristic, complemented
1037#442C22×C1711yescharacteristic
1038#442C22×C1711yescharacteristic
1039#442C22×C1711yescharacteristic
1040#442C22×C1711yescharacteristic, complemented
1041#442C22×C1711yescharacteristic, complemented
1042#442C22×C1711yescharacteristic, complemented
1043#442C22×C1711yescharacteristic, complemented
1044#442C22×C1711yescharacteristic, complemented
1045#442C22×C1711yescharacteristic, complemented
1046#442C22×C1711yescharacteristic, complemented
1047#442C22×C1711yescharacteristic, complemented
1048#442C22×C1711yescharacteristic, complemented
1049#442C22×C1711yescharacteristic, complemented
1050#440C22×C1711yescharacteristic, complemented
1051#440C22×C1711yescharacteristic, complemented
1052#440C22×C1711yescharacteristic, complemented
1053C4×SD16C22×C1711yescharacteristic, complemented
1054C4×SD16C22×C1711yescharacteristic, complemented
1055C4×SD16C22×C1711yescharacteristic, complemented
1056C4×D8C22×C1711yescharacteristic
1057C4×D8C22×C1711yescharacteristic, complemented
1058C4×D8C22×C1711yescharacteristic, complemented
1059C4×D8C22×C1711yescharacteristic, complemented
1060C4×D8C22×C1711yescharacteristic, complemented
1061C4×D8C22×C1711yescharacteristic, complemented
1062C4×D8C22×C1711yescharacteristic, complemented
1063C4×D8C22×C1711yescharacteristic, complemented
1064C4×D8C22×C1711yescharacteristic, complemented
1065#435C22×C1711yescharacteristic, complemented
1066#435C22×C1711yescharacteristic, complemented
1067#435C22×C1711yescharacteristic, complemented
1068#435C22×C1711yescharacteristic, complemented
1069C8×D4C22×C1711yescharacteristic, complemented
1070C8×D4C22×C1711yescharacteristic, complemented
1071#433C22×C1711yescharacteristic, complemented
1072#433C22×C1711yescharacteristic, complemented
1073#431C22×C1711yescharacteristic, complemented
1074#428C22×C1711yescharacteristic, complemented
1075#427C22×C1711yescharacteristic, complemented
1076C2×#106C22×C1711yescharacteristic, complemented
1077#418C22×C1711yescharacteristic, complemented
1078#418C22×C1711yescharacteristic, complemented
1079#416C22×C1711yescharacteristic, complemented
1080C2×#102C22×C1711yescharacteristic, complemented
1081C2×#102C22×C1711yescharacteristic, complemented
1082C2×#102C22×C1711yescharacteristic, complemented
1083#405C22×C1711yescharacteristic, complemented
1084#405C22×C1711yescharacteristic, complemented
1085C2×#97C22×C1711yescharacteristic, complemented
1086C2×C17—22no—
1087C2×C17—41no—
1088C2×C17—41no—
1089C2×C17—42no—
1090C2×C17—42no—
1091C2×C17—81no—
1092C2×C17—81no—
1093C2×C17—81no—
1094C2×C17—81no—
1095C2×C17—81no—
1096C2×C17D4×#4111yescharacteristic
1097C2×C17C2×#57611yescharacteristic
1098C2×C17#358511yescharacteristic
1099C2×#41—21no—
1100C2×#41—21no—
1101C2×#41—21no—
1102C2×#41C23×C1711yescharacteristic
1103C22×D4—21no—
1104C22×D4—21no—
1105C22×D4—21no—
1106C22×D4—21no—
1107C22×D4C23×C1711yescharacteristic
1108C22×D4C23×C1711yescharacteristic
1109C22×D4C23×C1711yescharacteristic
1110C22×D4C23×C1711yescharacteristic
1111C22×D4C23×C1711yescharacteristic
1112C23×C4—21no—
1113C23×C4—21no—
1114AGL(1,ℤ/8)—24no—
1115C2×SD16C23×C1711yescharacteristic
1116C2×SD16C23×C1711yescharacteristic
1117C2×SD16C23×C1711yescharacteristic
1118C2×SD16C23×C1711yescharacteristic
1119C2×D8—24no—
1120C2×D8—24no—
1121C2×D8C23×C1711yescharacteristic
1122C2×D8C23×C1711yescharacteristic
1123C2×D8C23×C1711yescharacteristic
1124C2×D8C23×C1711yescharacteristic
1125C2×D8C23×C1711yescharacteristic
1126C2×D8C23×C1711yescharacteristic
1127C2×D8C23×C1711yescharacteristic
1128C2×D8C23×C1711yescharacteristic
1129C2×D8C23×C1711yescharacteristic
1130C2×D8C23×C1711yescharacteristic
1131C2×D8C23×C1711yescharacteristic
1132C2×D8C23×C1711yescharacteristic
1133C2×M16C23×C1711yescharacteristic
1134C2×M16C23×C1711yescharacteristic
1135C22×C8C23×C1711yescharacteristic
1136C22×C8C23×C1711yescharacteristic
1137C22×C8C23×C1711yescharacteristic
1138C22×C8C23×C1711yescharacteristic
1139C4⋊Q8C23×C1711yescharacteristic
1140C4⋊Q8C23×C1711yescharacteristic
1141#127C23×C1711yescharacteristic
1142#127C23×C1711yescharacteristic
1143#127C23×C1711yescharacteristic
1144#127C23×C1711yescharacteristic
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126D4×C1711yescharacteristic
1152#126D4×C1711yescharacteristic
1153#125—21no—
1154#125D4×C1711yescharacteristic
1155#125C23×C1711yescharacteristic
1156#125C23×C1711yescharacteristic
1157#125C23×C1711yescharacteristic
1158#125C23×C1711yescharacteristic
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124D4×C1711yescharacteristic
1165#124C23×C1711yescharacteristic
1166#124C23×C1711yescharacteristic
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123D4×C1711yescharacteristic
1186#123D4×C1711yescharacteristic
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8D4×C1711yescharacteristic
1196C22⋊Q8C23×C1711yescharacteristic
1197C22⋊Q8C23×C1711yescharacteristic
1198#121—21no—
1199#121—21no—
1200#121—21no—
1201#121—21no—
1202#121—21no—
1203#121—21no—
1204#121—21no—
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121D4×C1711yescharacteristic
1219#121C23×C1711yescharacteristic
1220#121C23×C1711yescharacteristic
1221#121C23×C1711yescharacteristic
1222#121C23×C1711yescharacteristic
1223#121C23×C1711yescharacteristic
1224#121C23×C1711yescharacteristic
1225#121C23×C1711yescharacteristic
1226#121C23×C1711yescharacteristic
1227#121C23×C1711yescharacteristic
1228#121C23×C1711yescharacteristic
1229#120—21no—
1230#120—21no—
1231#120—21no—
1232#120—21no—
1233#120—21no—
1234#120—21no—
1235#120—21no—
1236#120—21no—
1237#120—21no—
1238#120—21no—
1239C4×Q8C23×C1711yescharacteristic
1240C4×Q8C23×C1711yescharacteristic
1241C4×Q8C23×C1711yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4C23×C1711yescharacteristic
1261C4×D4C23×C1711yescharacteristic
1262C4×D4C23×C1711yescharacteristic
1263C4×D4C23×C1711yescharacteristic
1264C4×D4C23×C1711yescharacteristic
1265C4×D4C23×C1711yescharacteristic
1266C4×D4C23×C1711yescharacteristic
1267C4×D4C23×C1711yescharacteristic
1268C4×D4C23×C1711yescharacteristic
1269C4×D4C23×C1711yescharacteristic
1270C4×D4C23×C1711yescharacteristic
1271C4×D4C23×C1711yescharacteristic
1272C4×D4C23×C1711yescharacteristic
1273C4×D4C23×C1711yescharacteristic
1274C4×D4C23×C1711yescharacteristic
1275C4×D4C23×C1711yescharacteristic
1276C4×D4C23×C1711yescharacteristic
1277C4×D4C23×C1711yescharacteristic
1278C4×D4C23×C1711yescharacteristic
1279C4×D4C23×C1711yescharacteristic
1280C4×D4C23×C1711yescharacteristic
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117—21no—
1285#117C23×C1711yescharacteristic
1286#117C23×C1711yescharacteristic
1287#117C23×C1711yescharacteristic
1288#117C23×C1711yescharacteristic
1289#117C23×C1711yescharacteristic
1290C2×C4⋊C4—21no—
1291C2×C4⋊C4—21no—
1292C2×C4⋊C4—21no—
1293C2×C4⋊C4C23×C1711yescharacteristic
1294C2×C4⋊C4C23×C1711yescharacteristic
1295C2×C4⋊C4C23×C1711yescharacteristic
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C42C23×C1711yescharacteristic
1307#107C23×C1711yescharacteristic
1308#107C23×C1711yescharacteristic
1309#107C23×C1711yescharacteristic
1310#107C23×C1711yescharacteristic
1311#107C23×C1711yescharacteristic
1312#107C23×C1711yescharacteristic
1313#107C23×C1711yescharacteristic
1314#107C23×C1711yescharacteristic
1315#106C23×C1711yescharacteristic
1316#106C23×C1711yescharacteristic
1317#106C23×C1711yescharacteristic
1318#106C23×C1711yescharacteristic
1319#106C23×C1711yescharacteristic
1320#106C23×C1711yescharacteristic
1321#106C23×C1711yescharacteristic
1322#106C23×C1711yescharacteristic
1323C4⋊C8C23×C1711yescharacteristic
1324C4⋊C8C23×C1711yescharacteristic
1325C4⋊C8C23×C1711yescharacteristic
1326C4⋊C8C23×C1711yescharacteristic
1327C4⋊C8C23×C1711yescharacteristic
1328C4⋊C8C23×C1711yescharacteristic
1329#103C23×C1711yescharacteristic
1330#103C23×C1711yescharacteristic
1331#103C23×C1711yescharacteristic
1332#103C23×C1711yescharacteristic
1333#102C23×C1711yescharacteristic
1334#102C23×C1711yescharacteristic
1335#102C23×C1711yescharacteristic
1336#102C23×C1711yescharacteristic
1337#102C23×C1711yescharacteristic
1338#102C23×C1711yescharacteristic
1339#102C23×C1711yescharacteristic
1340#102C23×C1711yescharacteristic
1341#102C23×C1711yescharacteristic
1342#102C23×C1711yescharacteristic
1343#102C23×C1711yescharacteristic
1344#102C23×C1711yescharacteristic
1345#102C23×C1711yescharacteristic
1346#102C23×C1711yescharacteristic
1347#102C23×C1711yescharacteristic
1348#102C23×C1711yescharacteristic
1349#102C23×C1711yescharacteristic
1350#102C23×C1711yescharacteristic
1351#102C23×C1711yescharacteristic
1352#102C23×C1711yescharacteristic
1353#102C23×C1711yescharacteristic
1354#102C23×C1711yescharacteristic
1355#102C23×C1711yescharacteristic
1356#102C23×C1711yescharacteristic
1357#102C23×C1711yescharacteristic
1358#102C23×C1711yescharacteristic
1359#102C23×C1711yescharacteristic
1360#102C23×C1711yescharacteristic
1361C22⋊C8C23×C1711yescharacteristic
1362C22⋊C8C23×C1711yescharacteristic
1363C22⋊C8C23×C1711yescharacteristic
1364C22⋊C8C23×C1711yescharacteristic
1365C22⋊C8C23×C1711yescharacteristic
1366C22⋊C8C23×C1711yescharacteristic
1367#97C23×C1711yescharacteristic
1368#97C23×C1711yescharacteristic
1369#97C23×C1711yescharacteristic
1370#97C23×C1711yescharacteristic
1371#97C23×C1711yescharacteristic
1372#97C23×C1711yescharacteristic
1373C4×C8C23×C1711yescharacteristic
1374C4×C8C23×C1711yescharacteristic
1375C4×C8C23×C1711yescharacteristic
1376C4×C8C23×C1711yescharacteristic
1377C17#6151911yescharacteristic, direct product factor, Sylow
1378C24—21no—
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382C24—21no—
1383#41—22no—
1384#41—41no—
1385#41—82no—
1386#41—82no—
1387#41—82no—
1388C2×Q8—21no—
1389C2×Q8—21no—
1390C2×Q8C2×D4×C1711yescharacteristic
1391C2×Q8C24×C1711yescharacteristic
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—82no—
1427C2×D4—82no—
1428C2×D4—82no—
1429C2×D4—82no—
1430C2×D4C2×D4×C1711yescharacteristic
1431C2×D4C2×D4×C1711yescharacteristic
1432C2×D4C2×D4×C1711yescharacteristic
1433C2×D4C24×C1711yescharacteristic
1434C2×D4C24×C1711yescharacteristic
1435C2×D4C24×C1711yescharacteristic
1436C2×D4C24×C1711yescharacteristic
1437C2×D4C24×C1711yescharacteristic
1438C2×D4C24×C1711yescharacteristic
1439C2×D4C24×C1711yescharacteristic
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—82no—
1463C22×C4—82no—
1464C22×C4C2×D4×C1711yescharacteristic
1465C22×C4C2×D4×C1711yescharacteristic
1466C22×C4C24×C1711yescharacteristic
1467C22×C4C24×C1711yescharacteristic
1468C22×C4C24×C1711yescharacteristic
1469SD16—22no—
1470SD16—22no—
1471SD16—41no—
1472SD16—41no—
1473D8—22no—
1474D8—22no—
1475D8—22no—
1476D8—22no—
1477D8—22no—
1478D8—22no—
1479D8—22no—
1480D8—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8#41×C1714yescomplemented
1485M16—22no—
1486M16—41no—
1487C2×C8—22no—
1488C2×C8—22no—
1489C2×C8—41no—
1490C2×C8—41no—
1491C2×C8C24×C1711yescharacteristic
1492C2×C8C24×C1711yescharacteristic
1493C2×C8C24×C1711yescharacteristic
1494C2×C8C24×C1711yescharacteristic
1495C2×C8C24×C1711yescharacteristic
1496C2×C8C24×C1711yescharacteristic
1497C2×C8C24×C1711yescharacteristic
1498C2×C8C24×C1711yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4C2×D4×C1711yescharacteristic
1517C4⋊C4C2×D4×C1711yescharacteristic
1518C4⋊C4C2×D4×C1711yescharacteristic
1519C4⋊C4C2×D4×C1711yescharacteristic
1520C4⋊C4C2×D4×C1711yescharacteristic
1521C4⋊C4C2×D4×C1711yescharacteristic
1522C4⋊C4C2×D4×C1711yescharacteristic
1523C4⋊C4C2×D4×C1711yescharacteristic
1524C4⋊C4C2×D4×C1711yescharacteristic
1525C4⋊C4C2×D4×C1711yescharacteristic
1526C4⋊C4C24×C1711yescharacteristic
1527C4⋊C4C24×C1711yescharacteristic
1528C4⋊C4C24×C1711yescharacteristic
1529C4⋊C4C24×C1711yescharacteristic
1530C4⋊C4C24×C1711yescharacteristic
1531C4⋊C4C24×C1711yescharacteristic
1532C4⋊C4C24×C1711yescharacteristic
1533C4⋊C4C24×C1711yescharacteristic
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4C2×D4×C1711yescharacteristic
1572C22⋊C4C2×D4×C1711yescharacteristic
1573C22⋊C4C2×D4×C1711yescharacteristic
1574C22⋊C4C2×D4×C1711yescharacteristic
1575C22⋊C4C2×D4×C1711yescharacteristic
1576C22⋊C4C2×D4×C1711yescharacteristic
1577C22⋊C4C2×D4×C1711yescharacteristic
1578C22⋊C4C2×D4×C1711yescharacteristic
1579C22⋊C4C2×D4×C1711yescharacteristic
1580C22⋊C4C2×D4×C1711yescharacteristic
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42C2×D4×C1711yescharacteristic
1587C42C2×D4×C1711yescharacteristic
1588C42C24×C1711yescharacteristic
1589C42C24×C1711yescharacteristic
1590C42C24×C1711yescharacteristic
1591C42C24×C1711yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—42no—
1600C23—42no—
1601C23—42no—
1602C23—42no—
1603C23—42no—
1604C23—42no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23C22×D4×C1711yescharacteristic
1615C23C22×D4×C1711yescharacteristic
1616C23C22×D4×C1711yescharacteristic
1617Q8—21no—
1618Q8—21no—
1619Q8—41no—
1620Q8—81no—
1621Q8—81no—
1622D4—22no—
1623D4—22no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—42no—
1644D4—42no—
1645D4—42no—
1646D4—42no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4C2×#41×C1712yes—
1662D4C2×#41×C1712yes—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—41no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4C22×D4×C1711yescharacteristic
1703C2×C4C22×D4×C1711yescharacteristic
1704C2×C4C22×D4×C1711yescharacteristic
1705C2×C4C22×D4×C1711yescharacteristic
1706C2×C4C22×D4×C1711yescharacteristic
1707C2×C4C22×D4×C1711yescharacteristic
1708C2×C4C22×D4×C1711yescharacteristic
1709C2×C4C22×D4×C1711yescharacteristic
1710C2×C4C22×D4×C1711yescharacteristic
1711C2×C4C22×D4×C1711yescharacteristic
1712C2×C4C22×D4×C1711yescharacteristic
1713C2×C4C25×C1711yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8C2×#41×C1712yes—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—22no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—84no—
1752C22—84no—
1753C22—162no—
1754C22—162no—
1755C22—162no—
1756C22C17×#57612yes—
1757C22C23×D4×C1711yescharacteristic
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4C22×#41×C1711yescharacteristic
1779C4C17×#58511yescharacteristic
1780C2—22no—
1781C2—41no—
1782C2—41no—
1783C2—42no—
1784C2—42no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—81no—
1790C2D4×#41×C1711yescharacteristic
1791C2C2×C17×#57611yescharacteristic
1792C2C17×#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×#3519C2semidirect
2. C17×#3513C2semidirect
3. C17×#3399C2semidirect
4. C17×#3389C2semidirect
5. C17×#3370C2semidirect
6. C17×#3366C2semidirect
7. C17×#3347C2semidirect
8. C17×#3345C2semidirect
9. C17×#3337C2semidirect
10. C17×#3319C2semidirect
11. C17×#3318C2semidirect
12. C17×#3318C2semidirect
13. C17×#3310C2semidirect
14. C17×#3297C2semidirect
15. C17×#3294C2semidirect
16. D4×D8×C17C2semidirect
17. C17×#3264C2semidirect
18. C17×#3264C2semidirect
19. C17×#3180C2semidirect
20. C17×#3179C2semidirect
21. C17×#3176C2semidirect
22. C17×#3122C2semidirect
23. C17×#3122C2semidirect
24. C17×#3119C2semidirect
25. C17×#3118C2semidirect
26. C17×#3105C2semidirect
27. C17×#3100C2semidirect
28. C17×#2968C2semidirect
29. C17×#2948C2semidirect
30. C17×#2946C2semidirect
31. C2×C17×#442C2semidirect
35. C17×#559C22semidirect
36. C17×#555C22semidirect
37. C17×#554C22semidirect
38. C17×#554C22semidirect
42. C17×#553C22semidirect
43. C17×#553C22semidirect
44. C17×#552C22semidirect
47. C17×#550C22semidirect
48. C17×#547C22semidirect
53. C17×#546C22semidirect
54. C17×#546C22semidirect
56. D42×C17C22semidirect
57. D42×C17C22semidirect
58. D42×C17C22semidirect
59. C17×#542C22semidirect
60. C17×#540C22semidirect
61. C17×#540C22semidirect
62. C17×#540C22semidirect
67. C17×#532C22semidirect
69. C17×#529C22semidirect
74. C17×#520C22semidirect
75. C17×#518C22semidirect
76. C17×#518C22semidirect
77. C17×#518C22semidirect
78. C2×C4×D4×C17C22semidirect
79. C2×C4×D4×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
83. C17×#496C22semidirect
84. C17×#496C22semidirect
85. C17×#493C22semidirect
86. C17×#490C22semidirect
87. C17×#490C22semidirect
88. C17×#490C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
93. C17×#484C22semidirect
94. C17×#482C22semidirect
95. C17×#482C22semidirect
96. C17×#482C22semidirect
97. C17×#482C22semidirect
98. C17×#482C22semidirect
99. C17×#481C22semidirect
100. C17×#481C22semidirect
101. C17×#480C22semidirect
102. C17×#480C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#478C22semidirect
106. C17×#478C22semidirect
107. C17×#478C22semidirect
108. C17×#478C22semidirect
109. C17×#478C22semidirect
110. C17×#478C22semidirect
111. C17×#478C22semidirect
112. C17×#476C22semidirect
113. C17×#474C22semidirect
114. C17×#474C22semidirect
115. C17×#474C22semidirect
116. C17×#469C22semidirect
117. C17×#469C22semidirect
118. C17×#469C22semidirect
119. C17×#468C22semidirect
120. C17×#466C22semidirect
121. C17×#466C22semidirect
122. C17×#466C22semidirect
123. C17×#466C22semidirect
124. C17×#466C22semidirect
125. C17×#465C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
128. C17×#463C22semidirect
129. C17×#463C22semidirect
130. C17×#463C22semidirect
131. C17×#463C22semidirect
132. C17×#460C22semidirect
134. C17×#459C22semidirect
135. C17×#459C22semidirect
136. C17×#459C22semidirect
137. C17×#459C22semidirect
138. C17×#459C22semidirect
139. C17×#459C22semidirect
140. C17×#450C22semidirect
141. C17×#450C22semidirect
142. C17×#449C22semidirect
143. C17×#449C22semidirect
146. C17×#447C22semidirect
147. C17×#447C22semidirect
148. C17×#447C22semidirect
149. C17×#447C22semidirect
150. C17×#447C22semidirect
151. C17×#447C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
157. C17×#442C22semidirect
158. C17×#442C22semidirect
159. C17×#442C22semidirect
160. C17×#442C22semidirect
161. C17×#442C22semidirect
162. C17×#442C22semidirect
163. C17×#442C22semidirect
164. C17×#442C22semidirect
165. C17×#442C22semidirect
166. C17×#442C22semidirect
167. C17×#440C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
170. C4×SD16×C17C22semidirect
171. C4×SD16×C17C22semidirect
172. C4×SD16×C17C22semidirect
174. C4×D8×C17C22semidirect
175. C4×D8×C17C22semidirect
176. C4×D8×C17C22semidirect
177. C4×D8×C17C22semidirect
178. C4×D8×C17C22semidirect
179. C4×D8×C17C22semidirect
180. C4×D8×C17C22semidirect
181. C4×D8×C17C22semidirect
182. C17×#435C22semidirect
183. C17×#435C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
186. C8×D4×C17C22semidirect
187. C8×D4×C17C22semidirect
188. C17×#433C22semidirect
189. C17×#433C22semidirect
190. C17×#431C22semidirect
191. C17×#428C22semidirect
192. C17×#427C22semidirect
193. C2×C17×#106C22semidirect
194. C17×#418C22semidirect
195. C17×#418C22semidirect
196. C17×#416C22semidirect
197. C2×C17×#102C22semidirect
198. C2×C17×#102C22semidirect
199. C2×C17×#102C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C2×C17×#97C22semidirect
587. D8×C17#41semidirect
695. #61519C17direct (N × H)
826. #3519C2×C17semidirect
827. #3513C2×C17semidirect
828. #3399C2×C17semidirect
829. #3389C2×C17semidirect
830. #3370C2×C17semidirect
831. #3366C2×C17semidirect
832. #3347C2×C17semidirect
833. #3345C2×C17semidirect
834. #3337C2×C17semidirect
835. #3319C2×C17semidirect
836. #3318C2×C17semidirect
837. #3318C2×C17semidirect
838. #3310C2×C17semidirect
839. #3297C2×C17semidirect
840. #3294C2×C17semidirect
841. D4×D8C2×C17semidirect
842. #3264C2×C17semidirect
843. #3264C2×C17semidirect
844. #3180C2×C17semidirect
845. #3179C2×C17semidirect
846. #3176C2×C17semidirect
847. #3122C2×C17semidirect
848. #3122C2×C17semidirect
849. #3119C2×C17semidirect
850. #3118C2×C17semidirect
851. #3105C2×C17semidirect
852. #3100C2×C17semidirect
853. #2968C2×C17semidirect
854. #2948C2×C17semidirect
855. #2946C2×C17semidirect
856. C2×#442C2×C17semidirect
918. #559C22×C17semidirect
919. #555C22×C17semidirect
920. #554C22×C17semidirect
921. #554C22×C17semidirect
925. #553C22×C17semidirect
926. #553C22×C17semidirect
927. #552C22×C17semidirect
930. #550C22×C17semidirect
931. #547C22×C17semidirect
936. #546C22×C17semidirect
937. #546C22×C17semidirect
939. D42C22×C17semidirect
940. D42C22×C17semidirect
941. D42C22×C17semidirect
942. #542C22×C17semidirect
943. #540C22×C17semidirect
944. #540C22×C17semidirect
945. #540C22×C17semidirect
950. #532C22×C17semidirect
952. #529C22×C17semidirect
957. #520C22×C17semidirect
958. #518C22×C17semidirect
959. #518C22×C17semidirect
960. #518C22×C17semidirect
961. C2×C4×D4C22×C17semidirect
962. C2×C4×D4C22×C17semidirect
963. #501C22×C17semidirect
964. #501C22×C17semidirect
965. #499C22×C17semidirect
966. #496C22×C17semidirect
967. #496C22×C17semidirect
968. #493C22×C17semidirect
969. #490C22×C17semidirect
970. #490C22×C17semidirect
971. #490C22×C17semidirect
972. #489C22×C17semidirect
973. #488C22×C17semidirect
974. #486C22×C17semidirect
975. #485C22×C17semidirect
976. #484C22×C17semidirect
977. #482C22×C17semidirect
978. #482C22×C17semidirect
979. #482C22×C17semidirect
980. #482C22×C17semidirect
981. #482C22×C17semidirect
982. #481C22×C17semidirect
983. #481C22×C17semidirect
984. #480C22×C17semidirect
985. #480C22×C17semidirect
986. #480C22×C17semidirect
987. #479C22×C17semidirect
988. #478C22×C17semidirect
989. #478C22×C17semidirect
990. #478C22×C17semidirect
991. #478C22×C17semidirect
992. #478C22×C17semidirect
993. #478C22×C17semidirect
994. #478C22×C17semidirect
995. #476C22×C17semidirect
996. #474C22×C17semidirect
997. #474C22×C17semidirect
998. #474C22×C17semidirect
999. #469C22×C17semidirect
1000. #469C22×C17semidirect
1001. #469C22×C17semidirect
1002. #468C22×C17semidirect
1003. #466C22×C17semidirect
1004. #466C22×C17semidirect
1005. #466C22×C17semidirect
1006. #466C22×C17semidirect
1007. #466C22×C17semidirect
1008. #465C22×C17semidirect
1009. #465C22×C17semidirect
1010. #465C22×C17semidirect
1011. #463C22×C17semidirect
1012. #463C22×C17semidirect
1013. #463C22×C17semidirect
1014. #463C22×C17semidirect
1015. #460C22×C17semidirect
1017. #459C22×C17semidirect
1018. #459C22×C17semidirect
1019. #459C22×C17semidirect
1020. #459C22×C17semidirect
1021. #459C22×C17semidirect
1022. #459C22×C17semidirect
1023. #450C22×C17semidirect
1024. #450C22×C17semidirect
1025. #449C22×C17semidirect
1026. #449C22×C17semidirect
1029. #447C22×C17semidirect
1030. #447C22×C17semidirect
1031. #447C22×C17semidirect
1032. #447C22×C17semidirect
1033. #447C22×C17semidirect
1034. #447C22×C17semidirect
1035. #446C22×C17semidirect
1036. #446C22×C17semidirect
1040. #442C22×C17semidirect
1041. #442C22×C17semidirect
1042. #442C22×C17semidirect
1043. #442C22×C17semidirect
1044. #442C22×C17semidirect
1045. #442C22×C17semidirect
1046. #442C22×C17semidirect
1047. #442C22×C17semidirect
1048. #442C22×C17semidirect
1049. #442C22×C17semidirect
1050. #440C22×C17semidirect
1051. #440C22×C17semidirect
1052. #440C22×C17semidirect
1053. C4×SD16C22×C17semidirect
1054. C4×SD16C22×C17semidirect
1055. C4×SD16C22×C17semidirect
1057. C4×D8C22×C17semidirect
1058. C4×D8C22×C17semidirect
1059. C4×D8C22×C17semidirect
1060. C4×D8C22×C17semidirect
1061. C4×D8C22×C17semidirect
1062. C4×D8C22×C17semidirect
1063. C4×D8C22×C17semidirect
1064. C4×D8C22×C17semidirect
1065. #435C22×C17semidirect
1066. #435C22×C17semidirect
1067. #435C22×C17semidirect
1068. #435C22×C17semidirect
1069. C8×D4C22×C17semidirect
1070. C8×D4C22×C17semidirect
1071. #433C22×C17semidirect
1072. #433C22×C17semidirect
1073. #431C22×C17semidirect
1074. #428C22×C17semidirect
1075. #427C22×C17semidirect
1076. C2×#106C22×C17semidirect
1077. #418C22×C17semidirect
1078. #418C22×C17semidirect
1079. #416C22×C17semidirect
1080. C2×#102C22×C17semidirect
1081. C2×#102C22×C17semidirect
1082. C2×#102C22×C17semidirect
1083. #405C22×C17semidirect
1084. #405C22×C17semidirect
1085. C2×#97C22×C17semidirect
1377. C17#61519direct (N × H)
1484. D8#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35192
C17×#35132
C17×#33992
C17×#33892
C17×#33702
C17×#33662
C17×#33472
C17×#33452
C17×#33372
C17×#33192
C17×#33182
C17×#33102
C17×#32972
C17×#32942
D4×D8×C172
C17×#32642
C17×#31802
C17×#31792
C17×#31762
C17×#31222
C17×#31192
C17×#31182
C17×#31052
C17×#31002
C17×#29682
C17×#29482
C17×#29462
C2×C17×#4422
#6151917