Finite Group Databasebeta

← C17×#61627 #16919371

Subgroups — C17×#61627 #16919371

Order 4352.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3540C211yesmaximal, characteristic, complemented
2C17×#3489C211yesmaximal, characteristic, complemented
3C17×#3329C211yesmaximal, characteristic, complemented
4C17×#3328C211yesmaximal, characteristic, complemented
5C17×#3321C211yesmaximal, characteristic, complemented
6C17×#3319C211yesmaximal, characteristic, complemented
7C17×#3313C211yesmaximal, characteristic, complemented
8C17×#3311C211yesmaximal, characteristic, complemented
9C17×#3303C211yesmaximal, characteristic, complemented
10C17×#3302C211yesmaximal, characteristic, complemented
11C17×#3285C211yesmaximal, characteristic, complemented
12C17×#3282C211yesmaximal, characteristic, complemented
13C17×#3275C211yesmaximal, characteristic, complemented
14C17×#3273C211yesmaximal, characteristic, complemented
15C17×#3270C211yesmaximal, characteristic, complemented
16C17×#3269C211yesmaximal, characteristic, complemented
17C17×#3267C211yesmaximal, characteristic, complemented
18C17×#3266C211yesmaximal, characteristic, complemented
19C17×#3225C211yesmaximal, characteristic, complemented
20C17×#3225C211yesmaximal, characteristic, complemented
21C17×#3201C211yesmaximal, characteristic, complemented
22C17×#3198C211yesmaximal, characteristic, complemented
23C17×#3196C211yesmaximal, characteristic, complemented
24C17×#3190C211yesmaximal, characteristic, complemented
25C17×#3125C211yesmaximal, characteristic, complemented
26C17×#3124C211yesmaximal, characteristic, complemented
27C17×#3011C211yesmaximal, characteristic, complemented
28C17×#3010C211yesmaximal, characteristic, complemented
29C17×#3005C211yesmaximal, characteristic, complemented
30C17×#3002C211yesmaximal, characteristic, complemented
31C17×#2976C211yesmaximal, characteristic, complemented
32C2×C17×2−1+4C2211yescharacteristic
33C22×#41×C17C2211yescharacteristic, complemented
34C2×C17×#137C2211yescharacteristic
35C2×C17×#137C2211yescharacteristic, complemented
36C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
37C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C17×#135C2211yescharacteristic
39C2×C17×#135C2211yescharacteristic
40C22×Q16×C17C2211yescharacteristic, complemented
41C22×SD16×C17C2211yescharacteristic, complemented
42C17×H(3,𝔽4)—21no—
43C17×#560—21no—
44C17×#559—21no—
45C17×#556C2211yescharacteristic
46C17×#556C2211yescharacteristic, complemented
47C17×#555C2211yescharacteristic
48C17×#555C2211yescharacteristic, complemented
49C17×#551—21no—
50D4×Q8×C17C2211yescharacteristic
51D4×Q8×C17C2211yescharacteristic, complemented
52C17×#548C2211yescharacteristic
53C17×#548C2211yescharacteristic
54C17×#548C2211yescharacteristic, complemented
55C17×#548C2211yescharacteristic, complemented
56C17×#547—21no—
57C17×#547—21no—
58C17×#547C2211yescharacteristic
59C17×#547C2211yescharacteristic, complemented
60C17×#546—21no—
61C17×#546—21no—
62C17×#546C2211yescharacteristic
63C17×#546C2211yescharacteristic
64C17×#546C2211yescharacteristic, complemented
65C17×#546C2211yescharacteristic, complemented
66C17×#542—21no—
67C17×#542—21no—
68C17×#542C2211yescharacteristic, complemented
69C17×#542C2211yescharacteristic, complemented
70C17×#538—21no—
71C17×#538—21no—
72C17×#537—21no—
73C17×#537C2211yescharacteristic
74C17×#536—21no—
75C17×#536C2211yescharacteristic, complemented
76C17×#536C2211yescharacteristic, complemented
77C17×#535C2211yescharacteristic, complemented
78C17×#525—21no—
79C17×#525C2211yescharacteristic
80C17×#525C2211yescharacteristic
81C17×#525C2211yescharacteristic
82C2×C17×C22⋊Q8—21no—
83C2×C17×C22⋊Q8C2211yescharacteristic, complemented
84C17×#520C2211yescharacteristic, complemented
85C17×#497C2211yescharacteristic, complemented
86C17×#497C2211yescharacteristic, complemented
87C17×#495C2211yescharacteristic, complemented
88C17×#495C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic, complemented
90C17×#489C2211yescharacteristic, complemented
91C17×#487C2211yescharacteristic, complemented
92C17×#487C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#485C2211yescharacteristic, complemented
96C17×#485C2211yescharacteristic, complemented
97C17×#485C2211yescharacteristic, complemented
98C17×#485C2211yescharacteristic, complemented
99C17×#484C2211yescharacteristic, complemented
100C17×#483C2211yescharacteristic, complemented
101C17×#482C2211yescharacteristic, complemented
102C17×#482C2211yescharacteristic, complemented
103C17×#481C2211yescharacteristic, complemented
104C17×#480C2211yescharacteristic, complemented
105C17×#477C2211yescharacteristic, complemented
106C17×#476C2211yescharacteristic, complemented
107C17×#475C2211yescharacteristic, complemented
108C17×#474C2211yescharacteristic, complemented
109C17×#470C2211yescharacteristic, complemented
110C17×#470C2211yescharacteristic, complemented
111C17×#470C2211yescharacteristic, complemented
112C17×#469C2211yescharacteristic, complemented
113C17×#468C2211yescharacteristic
114C17×#468C2211yescharacteristic
115C17×#468C2211yescharacteristic, complemented
116C17×#468C2211yescharacteristic, complemented
117C17×#467C2211yescharacteristic, complemented
118C17×#467C2211yescharacteristic, complemented
119C17×#467C2211yescharacteristic, complemented
120C17×#466C2211yescharacteristic, complemented
121C17×#465C2211yescharacteristic, complemented
122C17×#465C2211yescharacteristic, complemented
123C17×#465C2211yescharacteristic, complemented
124C17×#465C2211yescharacteristic, complemented
125C17×#464C2211yescharacteristic, complemented
126C17×#464C2211yescharacteristic, complemented
127C17×#464C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#463C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic, complemented
131C17×#463C2211yescharacteristic, complemented
132C17×#463C2211yescharacteristic, complemented
133C17×#462C2211yescharacteristic, complemented
134C17×#462C2211yescharacteristic, complemented
135C17×#461C2211yescharacteristic, complemented
136C17×#461C2211yescharacteristic, complemented
137C17×#452C2211yescharacteristic
138C17×#452C2211yescharacteristic
139C17×#452C2211yescharacteristic, complemented
140C17×#452C2211yescharacteristic, complemented
141C17×#452C2211yescharacteristic, complemented
142C17×#452C2211yescharacteristic, complemented
143C17×#452C2211yescharacteristic, complemented
144C17×#452C2211yescharacteristic, complemented
145C17×#452C2211yescharacteristic, complemented
146C17×#452C2211yescharacteristic, complemented
147C17×#452C2211yescharacteristic, complemented
148C17×#452C2211yescharacteristic, complemented
149C17×#451C2211yescharacteristic, complemented
150C17×#451C2211yescharacteristic, complemented
151C17×#451C2211yescharacteristic, complemented
152C17×#451C2211yescharacteristic, complemented
153C17×#451C2211yescharacteristic, complemented
154C17×#451C2211yescharacteristic, complemented
155C17×#450C2211yescharacteristic, complemented
156C17×#450C2211yescharacteristic, complemented
157C17×#449C2211yescharacteristic
158C17×#449C2211yescharacteristic
159C17×#449C2211yescharacteristic
160C17×#449C2211yescharacteristic
161C17×#449C2211yescharacteristic
162C17×#449C2211yescharacteristic
163C17×#449C2211yescharacteristic, complemented
164C17×#449C2211yescharacteristic, complemented
165C17×#448C2211yescharacteristic
166C17×#448C2211yescharacteristic, complemented
167C17×#448C2211yescharacteristic, complemented
168C17×#448C2211yescharacteristic, complemented
169C17×#448C2211yescharacteristic, complemented
170C17×#448C2211yescharacteristic, complemented
171C17×#447C2211yescharacteristic
172C17×#447C2211yescharacteristic, complemented
173C17×#442C2211yescharacteristic, complemented
174C17×#441C2211yescharacteristic, complemented
175C17×#440C2211yescharacteristic, complemented
176C17×#440C2211yescharacteristic, complemented
177C4×Q16×C17C2211yescharacteristic, complemented
178C4×SD16×C17C2211yescharacteristic, complemented
179C4×SD16×C17C2211yescharacteristic, complemented
180C4×D8×C17C2211yescharacteristic, complemented
181C17×#436C2211yescharacteristic
182C17×#436C2211yescharacteristic, complemented
183C17×#435C2211yescharacteristic
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C17×#435C2211yescharacteristic, complemented
187C8×D4×C17C2211yescharacteristic, complemented
188C8×D4×C17C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#433C2211yescharacteristic, complemented
191C17×#419C2211yescharacteristic, complemented
192C17×#419C2211yescharacteristic, complemented
193C17×#419C2211yescharacteristic, complemented
194C17×#418C2211yescharacteristic, complemented
195C17×#416C2211yescharacteristic, complemented
196C17×#416C2211yescharacteristic, complemented
197C17×#416C2211yescharacteristic, complemented
198C17×#416C2211yescharacteristic, complemented
199C17×#408C2211yescharacteristic, complemented
200C17×#408C2211yescharacteristic, complemented
201C17×#407C2211yescharacteristic, complemented
202C2×C17×C22⋊C8C2211yescharacteristic, complemented
203C17×2−1+4—42no—
204C17×2−1+4—42no—
205C2×#41×C17—21no—
206C2×#41×C17—21no—
207C2×#41×C17—21no—
208C2×#41×C17—21no—
209C2×#41×C17—21no—
210C2×#41×C17—42no—
211C2×#41×C17—42no—
212C2×#41×C17C2311yescharacteristic
213C2×#41×C17C2311yescharacteristic
214C2×#41×C17C2311yescharacteristic
215C2×#41×C17C2311yescharacteristic
216C2×#41×C17C2311yescharacteristic
217C2×#41×C17C2311yescharacteristic
218C2×#41×C17C2311yescharacteristic
219C2×#41×C17C2311yescharacteristic
220C2×#41×C17C2311yescharacteristic
221C22×Q8×C17—21no—
222C22×Q8×C17C2311yescharacteristic
223C22×Q8×C17C2311yescharacteristic
224C22×Q8×C17C2311yescharacteristic
225C22×Q8×C17C2311yescharacteristic
226C22×Q8×C17C2311yescharacteristic
227C22×D4×C17—21no—
228C22×D4×C17C2311yescharacteristic
229C22×D4×C17C2311yescharacteristic
230C23×C4×C17—21no—
231C23×C4×C17C2311yescharacteristic
232C17×#137—42no—
233C17×#137—42no—
234C17×AGL(1,ℤ/8)—42no—
235C17×AGL(1,ℤ/8)—42no—
236C17×#135—42no—
237C17×#135—42no—
238C2×Q16×C17—42no—
239C2×Q16×C17C2311yescharacteristic
240C2×Q16×C17C2311yescharacteristic
241C2×Q16×C17C2311yescharacteristic
242C2×Q16×C17C2311yescharacteristic
243C2×Q16×C17C2311yescharacteristic
244C2×Q16×C17C2311yescharacteristic
245C2×Q16×C17C2311yescharacteristic
246C2×Q16×C17C2311yescharacteristic
247C2×SD16×C17—42no—
248C2×SD16×C17C2311yescharacteristic
249C2×SD16×C17C2311yescharacteristic
250C2×SD16×C17C2311yescharacteristic
251C2×SD16×C17C2311yescharacteristic
252C2×SD16×C17C2311yescharacteristic
253C2×SD16×C17C2311yescharacteristic
254C2×SD16×C17C2311yescharacteristic
255C2×SD16×C17C2311yescharacteristic
256C2×SD16×C17C2311yescharacteristic
257C2×SD16×C17C2311yescharacteristic
258C2×SD16×C17C2311yescharacteristic
259C2×SD16×C17C2311yescharacteristic
260C2×D8×C17C2311yescharacteristic
261C2×D8×C17C2311yescharacteristic
262C2×D8×C17C2311yescharacteristic
263C2×D8×C17C2311yescharacteristic
264C2×M16×C17C2311yescharacteristic
265C2×M16×C17C2311yescharacteristic
266C2×M16×C17C2311yescharacteristic
267C2×M16×C17C2311yescharacteristic
268C22×C8×C17C2311yescharacteristic
269C22×C8×C17C2311yescharacteristic
270C22×C8×C17C2311yescharacteristic
271C22×C8×C17C2311yescharacteristic
272C17×C4⋊Q8—21no—
273C17×C4⋊Q8—21no—
274C17×C4⋊Q8—21no—
275C17×C4⋊Q8C2311yescharacteristic
276C17×C4⋊Q8C2311yescharacteristic
277C17×C4⋊Q8C2311yescharacteristic
278C17×C4⋊Q8C2311yescharacteristic
279C17×#127—21no—
280C17×#126—21no—
281C17×#126—21no—
282C17×#126—21no—
283C17×#126—21no—
284C17×#126—21no—
285C17×#126—21no—
286C17×#124—21no—
287C17×#124—21no—
288C17×#124—21no—
289C17×#124—21no—
290C17×#124—21no—
291C17×#124—21no—
292C17×#124—21no—
293C17×#124—21no—
294C17×#124—21no—
295C17×#124—21no—
296C17×#124—21no—
297C17×#124—21no—
298C17×#124—21no—
299C17×#124—21no—
300C17×#124C2311yescharacteristic
301C17×#124C2311yescharacteristic
302C17×#124C2311yescharacteristic
303C17×#124C2311yescharacteristic
304C17×#123—21no—
305C17×#123—21no—
306C17×#123—21no—
307C17×#123—21no—
308C17×#123—21no—
309C17×#123—21no—
310C17×#123—21no—
311C17×#123—21no—
312C17×#123—21no—
313C17×#123—21no—
314C17×#123—21no—
315C17×#123—21no—
316C17×#123—21no—
317C17×#123—21no—
318C17×#123—21no—
319C17×#123—21no—
320C17×#123D411yescharacteristic
321C17×#123D411yescharacteristic
322C17×C22⋊Q8—21no—
323C17×C22⋊Q8—21no—
324C17×C22⋊Q8—21no—
325C17×C22⋊Q8—21no—
326C17×C22⋊Q8—21no—
327C17×C22⋊Q8—21no—
328C17×C22⋊Q8—21no—
329C17×C22⋊Q8—21no—
330C17×C22⋊Q8—21no—
331C17×C22⋊Q8—21no—
332C17×C22⋊Q8—21no—
333C17×C22⋊Q8—21no—
334C17×C22⋊Q8—21no—
335C17×C22⋊Q8—21no—
336C17×C22⋊Q8—21no—
337C17×C22⋊Q8D411yescharacteristic
338C17×C22⋊Q8D411yescharacteristic
339C17×C22⋊Q8C2311yescharacteristic
340C17×C22⋊Q8C2311yescharacteristic
341C17×C22⋊Q8C2311yescharacteristic
342C17×C22⋊Q8C2311yescharacteristic
343C17×C22⋊Q8C2311yescharacteristic
344C17×C22⋊Q8C2311yescharacteristic
345C17×C22⋊Q8C2311yescharacteristic
346C17×C22⋊Q8C2311yescharacteristic
347C17×C22⋊Q8C2311yescharacteristic
348C17×C22⋊Q8C2311yescharacteristic
349C17×C22⋊Q8C2311yescharacteristic
350C17×C22⋊Q8C2311yescharacteristic
351C17×#121—21no—
352C17×#121—21no—
353C17×#121—21no—
354C17×#121—21no—
355C17×#121—21no—
356C17×#121—21no—
357C17×#121—21no—
358C17×#121—21no—
359C17×#121—21no—
360C17×#121—21no—
361C17×#121—21no—
362C17×#121—21no—
363C17×#121—21no—
364C17×#121—21no—
365C17×#121—21no—
366C17×#121D411yescharacteristic
367C17×#121D411yescharacteristic
368C17×#121C2311yescharacteristic
369C17×#121C2311yescharacteristic
370C17×#121C2311yescharacteristic
371C17×#121C2311yescharacteristic
372C17×#121C2311yescharacteristic
373C17×#121C2311yescharacteristic
374C17×#121C2311yescharacteristic
375C17×#121C2311yescharacteristic
376C17×#120—21no—
377C17×#120—21no—
378C17×#120—21no—
379C17×#120—21no—
380C17×#120—21no—
381C17×#120—21no—
382C17×#120—21no—
383C17×#120—21no—
384C17×#120D411yescharacteristic
385C17×#120D411yescharacteristic
386C4×Q8×C17—21no—
387C4×Q8×C17—21no—
388C4×Q8×C17C2311yescharacteristic
389C4×Q8×C17C2311yescharacteristic
390C4×Q8×C17C2311yescharacteristic
391C4×Q8×C17C2311yescharacteristic
392C4×D4×C17—21no—
393C4×D4×C17—21no—
394C4×D4×C17—21no—
395C4×D4×C17—21no—
396C4×D4×C17—21no—
397C4×D4×C17—21no—
398C4×D4×C17—21no—
399C4×D4×C17—21no—
400C4×D4×C17—21no—
401C4×D4×C17—21no—
402C4×D4×C17—21no—
403C4×D4×C17—21no—
404C4×D4×C17C2311yescharacteristic
405C4×D4×C17C2311yescharacteristic
406C4×D4×C17C2311yescharacteristic
407C4×D4×C17C2311yescharacteristic
408C4×D4×C17C2311yescharacteristic
409C4×D4×C17C2311yescharacteristic
410C4×D4×C17C2311yescharacteristic
411C4×D4×C17C2311yescharacteristic
412C17×#117—21no—
413C17×#117—21no—
414C17×#117—21no—
415C17×#117C2311yescharacteristic
416C17×#117C2311yescharacteristic
417C17×#117C2311yescharacteristic
418C17×#117C2311yescharacteristic
419C17×#117C2311yescharacteristic
420C2×C4⋊C4×C17—21no—
421C2×C4⋊C4×C17—21no—
422C2×C4⋊C4×C17—21no—
423C2×C4⋊C4×C17—21no—
424C2×C4⋊C4×C17C2311yescharacteristic
425C2×C22⋊C4×C17—21no—
426C2×C22⋊C4×C17—21no—
427C2×C22⋊C4×C17—21no—
428C2×C22⋊C4×C17—21no—
429C2×C22⋊C4×C17—21no—
430C17×#107C2311yescharacteristic
431C17×#107C2311yescharacteristic
432C17×#107C2311yescharacteristic
433C17×#107C2311yescharacteristic
434C17×#106C2311yescharacteristic
435C17×#106C2311yescharacteristic
436C17×#106C2311yescharacteristic
437C17×#106C2311yescharacteristic
438C17×C4⋊C8C2311yescharacteristic
439C17×C4⋊C8C2311yescharacteristic
440C17×C4⋊C8C2311yescharacteristic
441C17×C4⋊C8C2311yescharacteristic
442C17×#103C2311yescharacteristic
443C17×#103C2311yescharacteristic
444C17×#103C2311yescharacteristic
445C17×#103C2311yescharacteristic
446C17×#103C2311yescharacteristic
447C17×#103C2311yescharacteristic
448C17×#103C2311yescharacteristic
449C17×#103C2311yescharacteristic
450C17×#103C2311yescharacteristic
451C17×#103C2311yescharacteristic
452C17×#103C2311yescharacteristic
453C17×#103C2311yescharacteristic
454C17×#103C2311yescharacteristic
455C17×#103C2311yescharacteristic
456C17×#103C2311yescharacteristic
457C17×#103C2311yescharacteristic
458C17×#103C2311yescharacteristic
459C17×#103C2311yescharacteristic
460C17×#103C2311yescharacteristic
461C17×#103C2311yescharacteristic
462C17×#102C2311yescharacteristic
463C17×#102C2311yescharacteristic
464C17×#102C2311yescharacteristic
465C17×#102C2311yescharacteristic
466C17×#102C2311yescharacteristic
467C17×#102C2311yescharacteristic
468C17×#102C2311yescharacteristic
469C17×#102C2311yescharacteristic
470C17×#102C2311yescharacteristic
471C17×#102C2311yescharacteristic
472C17×#102C2311yescharacteristic
473C17×#102C2311yescharacteristic
474C17×C22⋊C8C2311yescharacteristic
475C17×C22⋊C8C2311yescharacteristic
476C17×C22⋊C8C2311yescharacteristic
477C17×C22⋊C8C2311yescharacteristic
478C17×C22⋊C8C2311yescharacteristic
479C17×C22⋊C8C2311yescharacteristic
480C17×C22⋊C8C2311yescharacteristic
481C17×C22⋊C8C2311yescharacteristic
482C17×C22⋊C8C2311yescharacteristic
483C17×C22⋊C8C2311yescharacteristic
484C17×C22⋊C8C2311yescharacteristic
485C17×C22⋊C8C2311yescharacteristic
486C17×#97C2311yescharacteristic
487C17×#97C2311yescharacteristic
488C4×C8×C17C2311yescharacteristic
489C4×C8×C17C2311yescharacteristic
490C24×C17—21no—
491C24×C17—21no—
492C24×C17C2×D411yescharacteristic
493#41×C17—22no—
494#41×C17—22no—
495#41×C17—22no—
496#41×C17—22no—
497#41×C17—22no—
498#41×C17—22no—
499#41×C17—41no—
500#41×C17—41no—
501#41×C17—41no—
502#41×C17—41no—
503#41×C17—41no—
504#41×C17—41no—
505#41×C17—41no—
506#41×C17—41no—
507#41×C17—44no—
508#41×C17—44no—
509#41×C17—41no—
510#41×C17—41no—
511#41×C17—41no—
512#41×C17—41no—
513#41×C17—44no—
514#41×C17—44no—
515#41×C17—44no—
516C2×Q8×C17—21no—
517C2×Q8×C17—21no—
518C2×Q8×C17—21no—
519C2×Q8×C17—21no—
520C2×Q8×C17—21no—
521C2×Q8×C17—21no—
522C2×Q8×C17—21no—
523C2×Q8×C17—22no—
524C2×Q8×C17—22no—
525C2×Q8×C17—22no—
526C2×Q8×C17—41no—
527C2×Q8×C17—41no—
528C2×Q8×C17—41no—
529C2×Q8×C17—41no—
530C2×Q8×C17—41no—
531C2×Q8×C17—44no—
532C2×Q8×C17—41no—
533C2×Q8×C17—41no—
534C2×Q8×C17C2×D411yescharacteristic
535C2×Q8×C17C2411yescharacteristic
536C2×Q8×C17C2411yescharacteristic
537C2×Q8×C17C2411yescharacteristic
538C2×Q8×C17C2411yescharacteristic
539C2×Q8×C17C2411yescharacteristic
540C2×Q8×C17C2411yescharacteristic
541C2×D4×C17—21no—
542C2×D4×C17—22no—
543C2×D4×C17—21no—
544C2×D4×C17—21no—
545C2×D4×C17—21no—
546C2×D4×C17—21no—
547C2×D4×C17—21no—
548C2×D4×C17—21no—
549C2×D4×C17—21no—
550C2×D4×C17—21no—
551C2×D4×C17—21no—
552C2×D4×C17—21no—
553C2×D4×C17—21no—
554C2×D4×C17—21no—
555C2×D4×C17—21no—
556C2×D4×C17—21no—
557C2×D4×C17—21no—
558C2×D4×C17—21no—
559C2×D4×C17—21no—
560C2×D4×C17—41no—
561C2×D4×C17—41no—
562C2×D4×C17—41no—
563C2×D4×C17—44no—
564C2×D4×C17C2×D411yescharacteristic
565C2×D4×C17C2×D411yescharacteristic
566C2×D4×C17C2×D411yescharacteristic
567C2×D4×C17C2×D411yescharacteristic
568C2×D4×C17C2×D411yescharacteristic
569C2×D4×C17C2×D411yescharacteristic
570C2×D4×C17C2×D411yescharacteristic
571C2×D4×C17C2411yescharacteristic
572C2×D4×C17C2411yescharacteristic
573C2×D4×C17C2411yescharacteristic
574C2×D4×C17C2411yescharacteristic
575C22×C4×C17—21no—
576C22×C4×C17—21no—
577C22×C4×C17—21no—
578C22×C4×C17—21no—
579C22×C4×C17—21no—
580C22×C4×C17—21no—
581C22×C4×C17—21no—
582C22×C4×C17—21no—
583C22×C4×C17—21no—
584C22×C4×C17—21no—
585C22×C4×C17—21no—
586C22×C4×C17—21no—
587C22×C4×C17—21no—
588C22×C4×C17—21no—
589C22×C4×C17—21no—
590C22×C4×C17—21no—
591C22×C4×C17—21no—
592C22×C4×C17—21no—
593C22×C4×C17—41no—
594C22×C4×C17—41no—
595C22×C4×C17—44no—
596C22×C4×C17C2×D411yescharacteristic
597C22×C4×C17C2×D411yescharacteristic
598C22×C4×C17C2×D411yescharacteristic
599C22×C4×C17C2411yescharacteristic
600C22×C4×C17C2411yescharacteristic
601C22×C4×C17C2411yescharacteristic
602C22×C4×C17C2411yescharacteristic
603C22×C4×C17C2411yescharacteristic
604Q16×C17—22no—
605Q16×C17—22no—
606Q16×C17—41no—
607Q16×C17—41no—
608Q16×C17—41no—
609Q16×C17—41no—
610Q16×C17—41no—
611Q16×C17—41no—
612SD16×C17—22no—
613SD16×C17—22no—
614SD16×C17—22no—
615SD16×C17—22no—
616SD16×C17—41no—
617SD16×C17—41no—
618SD16×C17—41no—
619SD16×C17—41no—
620SD16×C17—41no—
621SD16×C17—41no—
622SD16×C17—41no—
623SD16×C17—41no—
624D8×C17—22no—
625D8×C17—22no—
626D8×C17—41no—
627D8×C17—41no—
628M16×C17—41no—
629M16×C17—41no—
630M16×C17—41no—
631M16×C17—41no—
632C2×C8×C17—41no—
633C2×C8×C17—41no—
634C2×C8×C17—41no—
635C2×C8×C17—41no—
636C2×C8×C17C2411yescharacteristic
637C2×C8×C17C2411yescharacteristic
638C2×C8×C17C2411yescharacteristic
639C2×C8×C17C2411yescharacteristic
640C2×C8×C17C2411yescharacteristic
641C2×C8×C17C2411yescharacteristic
642C2×C8×C17C2411yescharacteristic
643C2×C8×C17C2411yescharacteristic
644C4⋊C4×C17—21no—
645C4⋊C4×C17—21no—
646C4⋊C4×C17—21no—
647C4⋊C4×C17—21no—
648C4⋊C4×C17—21no—
649C4⋊C4×C17—21no—
650C4⋊C4×C17—21no—
651C4⋊C4×C17—21no—
652C4⋊C4×C17—21no—
653C4⋊C4×C17—21no—
654C4⋊C4×C17—21no—
655C4⋊C4×C17—21no—
656C4⋊C4×C17—21no—
657C4⋊C4×C17—21no—
658C4⋊C4×C17—21no—
659C4⋊C4×C17—21no—
660C4⋊C4×C17—21no—
661C4⋊C4×C17—21no—
662C4⋊C4×C17—21no—
663C4⋊C4×C17—21no—
664C4⋊C4×C17—21no—
665C4⋊C4×C17—21no—
666C4⋊C4×C17—21no—
667C4⋊C4×C17C2×D411yescharacteristic
668C4⋊C4×C17C2×D411yescharacteristic
669C4⋊C4×C17C2×D411yescharacteristic
670C4⋊C4×C17C2×D411yescharacteristic
671C4⋊C4×C17C2×D411yescharacteristic
672C4⋊C4×C17C2×D411yescharacteristic
673C4⋊C4×C17C2411yescharacteristic
674C4⋊C4×C17C2411yescharacteristic
675C4⋊C4×C17C2411yescharacteristic
676C4⋊C4×C17C2411yescharacteristic
677C4⋊C4×C17C2411yescharacteristic
678C4⋊C4×C17C2411yescharacteristic
679C22⋊C4×C17—21no—
680C22⋊C4×C17—21no—
681C22⋊C4×C17—21no—
682C22⋊C4×C17—21no—
683C22⋊C4×C17—21no—
684C22⋊C4×C17—21no—
685C22⋊C4×C17—21no—
686C22⋊C4×C17—21no—
687C22⋊C4×C17—21no—
688C22⋊C4×C17—21no—
689C22⋊C4×C17—21no—
690C22⋊C4×C17—21no—
691C22⋊C4×C17—21no—
692C22⋊C4×C17—21no—
693C22⋊C4×C17—21no—
694C22⋊C4×C17—21no—
695C22⋊C4×C17—21no—
696C22⋊C4×C17—21no—
697C22⋊C4×C17—21no—
698C22⋊C4×C17—21no—
699C22⋊C4×C17—21no—
700C22⋊C4×C17—21no—
701C22⋊C4×C17—21no—
702C22⋊C4×C17—21no—
703C22⋊C4×C17—21no—
704C22⋊C4×C17—21no—
705C22⋊C4×C17—21no—
706C22⋊C4×C17—21no—
707C22⋊C4×C17—21no—
708C22⋊C4×C17—21no—
709C22⋊C4×C17—21no—
710C22⋊C4×C17—21no—
711C22⋊C4×C17—21no—
712C22⋊C4×C17—21no—
713C22⋊C4×C17—21no—
714C22⋊C4×C17—21no—
715C22⋊C4×C17C2×D411yescharacteristic
716C22⋊C4×C17C2×D411yescharacteristic
717C22⋊C4×C17C2×D411yescharacteristic
718C22⋊C4×C17C2×D411yescharacteristic
719C22⋊C4×C17C2×D411yescharacteristic
720C22⋊C4×C17C2×D411yescharacteristic
721C22⋊C4×C17C2×D411yescharacteristic
722C22⋊C4×C17C2×D411yescharacteristic
723C22⋊C4×C17C2×D411yescharacteristic
724C22⋊C4×C17C2×D411yescharacteristic
725C42×C17—21no—
726C42×C17—21no—
727C42×C17—21no—
728C42×C17—21no—
729C42×C17—21no—
730C42×C17—21no—
731C42×C17—21no—
732C42×C17—21no—
733C42×C17C2411yescharacteristic
734C42×C17C2411yescharacteristic
735#61627C1711yesmaximal, characteristic, direct product factor, Sylow
736C23×C17—21no—
737C23×C17—21no—
738C23×C17—21no—
739C23×C17—21no—
740C23×C17—41no—
741C23×C17—41no—
742C23×C17—41no—
743C23×C17—42no—
744C23×C17—42no—
745C23×C17—81no—
746C23×C17—81no—
747C23×C17—81no—
748C23×C17—81no—
749C23×C17C22×D411yescharacteristic
750C23×C17C22×D411yescharacteristic
751C23×C17C22×D411yescharacteristic
752C23×C17C22×D411yescharacteristic
753C23×C17C22×D411yescharacteristic
754Q8×C17—21no—
755Q8×C17—21no—
756Q8×C17—21no—
757Q8×C17—21no—
758Q8×C17—21no—
759Q8×C17—21no—
760Q8×C17—21no—
761Q8×C17—21no—
762Q8×C17—21no—
763Q8×C17—21no—
764Q8×C17—21no—
765Q8×C17—41no—
766Q8×C17—42no—
767Q8×C17—42no—
768Q8×C17—42no—
769Q8×C17—42no—
770Q8×C17—81no—
771Q8×C17—81no—
772Q8×C17—81no—
773Q8×C17H(5,𝔽2)12yes—
774D4×C17—24no—
775D4×C17—21no—
776D4×C17—21no—
777D4×C17—21no—
778D4×C17—21no—
779D4×C17—21no—
780D4×C17—21no—
781D4×C17—21no—
782D4×C17—41no—
783D4×C17—41no—
784D4×C17—41no—
785D4×C17—41no—
786D4×C17—41no—
787D4×C17—41no—
788D4×C17—41no—
789D4×C17—42no—
790D4×C17—42no—
791D4×C17—42no—
792D4×C17—42no—
793D4×C17—42no—
794D4×C17—42no—
795D4×C17—81no—
796D4×C17—81no—
797D4×C17—81no—
798D4×C17—81no—
799D4×C17—81no—
800D4×C17—81no—
801D4×C17—81no—
802D4×C17—81no—
803D4×C17—81no—
804D4×C17—81no—
805D4×C17—81no—
806D4×C17H(5,𝔽2)12yes—
807C2×C4×C17—24no—
808C2×C4×C17—21no—
809C2×C4×C17—21no—
810C2×C4×C17—21no—
811C2×C4×C17—21no—
812C2×C4×C17—21no—
813C2×C4×C17—21no—
814C2×C4×C17—21no—
815C2×C4×C17—21no—
816C2×C4×C17—21no—
817C2×C4×C17—21no—
818C2×C4×C17—21no—
819C2×C4×C17—21no—
820C2×C4×C17—21no—
821C2×C4×C17—21no—
822C2×C4×C17—21no—
823C2×C4×C17—21no—
824C2×C4×C17—21no—
825C2×C4×C17—21no—
826C2×C4×C17—21no—
827C2×C4×C17—21no—
828C2×C4×C17—21no—
829C2×C4×C17—21no—
830C2×C4×C17—41no—
831C2×C4×C17—41no—
832C2×C4×C17—41no—
833C2×C4×C17—42no—
834C2×C4×C17—42no—
835C2×C4×C17—42no—
836C2×C4×C17—42no—
837C2×C4×C17—42no—
838C2×C4×C17—42no—
839C2×C4×C17—42no—
840C2×C4×C17—42no—
841C2×C4×C17—42no—
842C2×C4×C17—81no—
843C2×C4×C17—81no—
844C2×C4×C17—81no—
845C2×C4×C17—81no—
846C2×C4×C17—81no—
847C2×C4×C17—81no—
848C2×C4×C17—81no—
849C2×C4×C17—81no—
850C2×C4×C17C22×D411yescharacteristic
851C2×C4×C17C22×D411yescharacteristic
852C2×C4×C17C22×D411yescharacteristic
853C2×C4×C17C22×D411yescharacteristic
854C2×C4×C17C22×D411yescharacteristic
855C2×C4×C17C22×D411yescharacteristic
856C2×C4×C17C22×D411yescharacteristic
857C2×C4×C17C22×D411yescharacteristic
858C2×C4×C17C22×D411yescharacteristic
859C2×C4×C17C2511yescharacteristic
860C8×C17—21no—
861C8×C17—21no—
862C8×C17—21no—
863C8×C17—21no—
864C8×C17—21no—
865C8×C17—21no—
866C8×C17—21no—
867C8×C17—21no—
868#3540C2×C1711yescharacteristic, complemented
869#3489C2×C1711yescharacteristic, complemented
870#3329C2×C1711yescharacteristic, complemented
871#3328C2×C1711yescharacteristic, complemented
872#3321C2×C1711yescharacteristic, complemented
873#3319C2×C1711yescharacteristic, complemented
874#3313C2×C1711yescharacteristic, complemented
875#3311C2×C1711yescharacteristic, complemented
876#3303C2×C1711yescharacteristic, complemented
877#3302C2×C1711yescharacteristic, complemented
878#3285C2×C1711yescharacteristic, complemented
879#3282C2×C1711yescharacteristic, complemented
880#3275C2×C1711yescharacteristic, complemented
881#3273C2×C1711yescharacteristic, complemented
882#3270C2×C1711yescharacteristic, complemented
883#3269C2×C1711yescharacteristic, complemented
884#3267C2×C1711yescharacteristic, complemented
885#3266C2×C1711yescharacteristic, complemented
886#3225C2×C1711yescharacteristic, complemented
887#3225C2×C1711yescharacteristic, complemented
888#3201C2×C1711yescharacteristic, complemented
889#3198C2×C1711yescharacteristic, complemented
890#3196C2×C1711yescharacteristic, complemented
891#3190C2×C1711yescharacteristic, complemented
892#3125C2×C1711yescharacteristic, complemented
893#3124C2×C1711yescharacteristic, complemented
894#3011C2×C1711yescharacteristic, complemented
895#3010C2×C1711yescharacteristic, complemented
896#3005C2×C1711yescharacteristic, complemented
897#3002C2×C1711yescharacteristic, complemented
898#2976C2×C1711yescharacteristic, complemented
899C22×C17—21no—
900C22×C17—21no—
901C22×C17—21no—
902C22×C17—21no—
903C22×C17—21no—
904C22×C17—21no—
905C22×C17—21no—
906C22×C17—21no—
907C22×C17—21no—
908C22×C17—21no—
909C22×C17—21no—
910C22×C17—22no—
911C22×C17—21no—
912C22×C17—21no—
913C22×C17—21no—
914C22×C17—21no—
915C22×C17—41no—
916C22×C17—41no—
917C22×C17—41no—
918C22×C17—41no—
919C22×C17—41no—
920C22×C17—41no—
921C22×C17—41no—
922C22×C17—41no—
923C22×C17—41no—
924C22×C17—41no—
925C22×C17—41no—
926C22×C17—82no—
927C22×C17—84no—
928C22×C17—162no—
929C22×C17C23×D411yescharacteristic
930C4×C17—21no—
931C4×C17—21no—
932C4×C17—21no—
933C4×C17—21no—
934C4×C17—21no—
935C4×C17—22no—
936C4×C17—21no—
937C4×C17—21no—
938C4×C17—21no—
939C4×C17—21no—
940C4×C17—41no—
941C4×C17—41no—
942C4×C17—41no—
943C4×C17—41no—
944C4×C17—41no—
945C4×C17—41no—
946C4×C17—41no—
947C4×C17—41no—
948C4×C17—41no—
949C4×C17—41no—
950C4×C17—41no—
951C4×C17C2×H(5,𝔽2)11yescharacteristic
952C4×C17C2×H(5,𝔽2)11yescharacteristic
953C2×2−1+4C22×C1711yescharacteristic
954C22×#41C22×C1711yescharacteristic, complemented
955C2×#137C22×C1711yescharacteristic
956C2×#137C22×C1711yescharacteristic, complemented
957C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
958C2×AGL(1,ℤ/8)C22×C1711yescharacteristic, complemented
959C2×#135C22×C1711yescharacteristic
960C2×#135C22×C1711yescharacteristic
961C22×Q16C22×C1711yescharacteristic, complemented
962C22×SD16C22×C1711yescharacteristic, complemented
963H(3,𝔽4)—21no—
964#560—21no—
965#559—21no—
966#556C22×C1711yescharacteristic
967#556C22×C1711yescharacteristic, complemented
968#555C22×C1711yescharacteristic
969#555C22×C1711yescharacteristic, complemented
970#551—21no—
971D4×Q8C22×C1711yescharacteristic
972D4×Q8C22×C1711yescharacteristic, complemented
973#548C22×C1711yescharacteristic
974#548C22×C1711yescharacteristic
975#548C22×C1711yescharacteristic, complemented
976#548C22×C1711yescharacteristic, complemented
977#547—21no—
978#547—21no—
979#547C22×C1711yescharacteristic
980#547C22×C1711yescharacteristic, complemented
981#546—21no—
982#546—21no—
983#546C22×C1711yescharacteristic
984#546C22×C1711yescharacteristic
985#546C22×C1711yescharacteristic, complemented
986#546C22×C1711yescharacteristic, complemented
987#542—21no—
988#542—21no—
989#542C22×C1711yescharacteristic, complemented
990#542C22×C1711yescharacteristic, complemented
991#538—21no—
992#538—21no—
993#537—21no—
994#537C22×C1711yescharacteristic
995#536—21no—
996#536C22×C1711yescharacteristic, complemented
997#536C22×C1711yescharacteristic, complemented
998#535C22×C1711yescharacteristic, complemented
999#525—21no—
1000#525C22×C1711yescharacteristic
1001#525C22×C1711yescharacteristic
1002#525C22×C1711yescharacteristic
1003C2×C22⋊Q8—21no—
1004C2×C22⋊Q8C22×C1711yescharacteristic, complemented
1005#520C22×C1711yescharacteristic, complemented
1006#497C22×C1711yescharacteristic, complemented
1007#497C22×C1711yescharacteristic, complemented
1008#495C22×C1711yescharacteristic, complemented
1009#495C22×C1711yescharacteristic, complemented
1010#489C22×C1711yescharacteristic, complemented
1011#489C22×C1711yescharacteristic, complemented
1012#487C22×C1711yescharacteristic, complemented
1013#487C22×C1711yescharacteristic, complemented
1014#485C22×C1711yescharacteristic, complemented
1015#485C22×C1711yescharacteristic, complemented
1016#485C22×C1711yescharacteristic, complemented
1017#485C22×C1711yescharacteristic, complemented
1018#485C22×C1711yescharacteristic, complemented
1019#485C22×C1711yescharacteristic, complemented
1020#484C22×C1711yescharacteristic, complemented
1021#483C22×C1711yescharacteristic, complemented
1022#482C22×C1711yescharacteristic, complemented
1023#482C22×C1711yescharacteristic, complemented
1024#481C22×C1711yescharacteristic, complemented
1025#480C22×C1711yescharacteristic, complemented
1026#477C22×C1711yescharacteristic, complemented
1027#476C22×C1711yescharacteristic, complemented
1028#475C22×C1711yescharacteristic, complemented
1029#474C22×C1711yescharacteristic, complemented
1030#470C22×C1711yescharacteristic, complemented
1031#470C22×C1711yescharacteristic, complemented
1032#470C22×C1711yescharacteristic, complemented
1033#469C22×C1711yescharacteristic, complemented
1034#468C22×C1711yescharacteristic
1035#468C22×C1711yescharacteristic
1036#468C22×C1711yescharacteristic, complemented
1037#468C22×C1711yescharacteristic, complemented
1038#467C22×C1711yescharacteristic, complemented
1039#467C22×C1711yescharacteristic, complemented
1040#467C22×C1711yescharacteristic, complemented
1041#466C22×C1711yescharacteristic, complemented
1042#465C22×C1711yescharacteristic, complemented
1043#465C22×C1711yescharacteristic, complemented
1044#465C22×C1711yescharacteristic, complemented
1045#465C22×C1711yescharacteristic, complemented
1046#464C22×C1711yescharacteristic, complemented
1047#464C22×C1711yescharacteristic, complemented
1048#464C22×C1711yescharacteristic, complemented
1049#464C22×C1711yescharacteristic, complemented
1050#463C22×C1711yescharacteristic, complemented
1051#463C22×C1711yescharacteristic, complemented
1052#463C22×C1711yescharacteristic, complemented
1053#463C22×C1711yescharacteristic, complemented
1054#462C22×C1711yescharacteristic, complemented
1055#462C22×C1711yescharacteristic, complemented
1056#461C22×C1711yescharacteristic, complemented
1057#461C22×C1711yescharacteristic, complemented
1058#452C22×C1711yescharacteristic
1059#452C22×C1711yescharacteristic
1060#452C22×C1711yescharacteristic, complemented
1061#452C22×C1711yescharacteristic, complemented
1062#452C22×C1711yescharacteristic, complemented
1063#452C22×C1711yescharacteristic, complemented
1064#452C22×C1711yescharacteristic, complemented
1065#452C22×C1711yescharacteristic, complemented
1066#452C22×C1711yescharacteristic, complemented
1067#452C22×C1711yescharacteristic, complemented
1068#452C22×C1711yescharacteristic, complemented
1069#452C22×C1711yescharacteristic, complemented
1070#451C22×C1711yescharacteristic, complemented
1071#451C22×C1711yescharacteristic, complemented
1072#451C22×C1711yescharacteristic, complemented
1073#451C22×C1711yescharacteristic, complemented
1074#451C22×C1711yescharacteristic, complemented
1075#451C22×C1711yescharacteristic, complemented
1076#450C22×C1711yescharacteristic, complemented
1077#450C22×C1711yescharacteristic, complemented
1078#449C22×C1711yescharacteristic
1079#449C22×C1711yescharacteristic
1080#449C22×C1711yescharacteristic
1081#449C22×C1711yescharacteristic
1082#449C22×C1711yescharacteristic
1083#449C22×C1711yescharacteristic
1084#449C22×C1711yescharacteristic, complemented
1085#449C22×C1711yescharacteristic, complemented
1086#448C22×C1711yescharacteristic
1087#448C22×C1711yescharacteristic, complemented
1088#448C22×C1711yescharacteristic, complemented
1089#448C22×C1711yescharacteristic, complemented
1090#448C22×C1711yescharacteristic, complemented
1091#448C22×C1711yescharacteristic, complemented
1092#447C22×C1711yescharacteristic
1093#447C22×C1711yescharacteristic, complemented
1094#442C22×C1711yescharacteristic, complemented
1095#441C22×C1711yescharacteristic, complemented
1096#440C22×C1711yescharacteristic, complemented
1097#440C22×C1711yescharacteristic, complemented
1098C4×Q16C22×C1711yescharacteristic, complemented
1099C4×SD16C22×C1711yescharacteristic, complemented
1100C4×SD16C22×C1711yescharacteristic, complemented
1101C4×D8C22×C1711yescharacteristic, complemented
1102#436C22×C1711yescharacteristic
1103#436C22×C1711yescharacteristic, complemented
1104#435C22×C1711yescharacteristic
1105#435C22×C1711yescharacteristic, complemented
1106#435C22×C1711yescharacteristic, complemented
1107#435C22×C1711yescharacteristic, complemented
1108C8×D4C22×C1711yescharacteristic, complemented
1109C8×D4C22×C1711yescharacteristic, complemented
1110#433C22×C1711yescharacteristic, complemented
1111#433C22×C1711yescharacteristic, complemented
1112#419C22×C1711yescharacteristic, complemented
1113#419C22×C1711yescharacteristic, complemented
1114#419C22×C1711yescharacteristic, complemented
1115#418C22×C1711yescharacteristic, complemented
1116#416C22×C1711yescharacteristic, complemented
1117#416C22×C1711yescharacteristic, complemented
1118#416C22×C1711yescharacteristic, complemented
1119#416C22×C1711yescharacteristic, complemented
1120#408C22×C1711yescharacteristic, complemented
1121#408C22×C1711yescharacteristic, complemented
1122#407C22×C1711yescharacteristic, complemented
1123C2×C22⋊C8C22×C1711yescharacteristic, complemented
1124C2×C17—41no—
1125C2×C17—41no—
1126C2×C17—41no—
1127C2×C17—41no—
1128C2×C17—41no—
1129C2×C17—42no—
1130C2×C17—81no—
1131C2×C17—81no—
1132C2×C17—81no—
1133C2×C17#348411yescharacteristic
1134C2×C17#358411yescharacteristic
1135C2×C17#358611yescharacteristic
11362−1+4—42no—
11372−1+4—42no—
1138C2×#41—21no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—42no—
1144C2×#41—42no—
1145C2×#41C23×C1711yescharacteristic
1146C2×#41C23×C1711yescharacteristic
1147C2×#41C23×C1711yescharacteristic
1148C2×#41C23×C1711yescharacteristic
1149C2×#41C23×C1711yescharacteristic
1150C2×#41C23×C1711yescharacteristic
1151C2×#41C23×C1711yescharacteristic
1152C2×#41C23×C1711yescharacteristic
1153C2×#41C23×C1711yescharacteristic
1154C22×Q8—21no—
1155C22×Q8C23×C1711yescharacteristic
1156C22×Q8C23×C1711yescharacteristic
1157C22×Q8C23×C1711yescharacteristic
1158C22×Q8C23×C1711yescharacteristic
1159C22×Q8C23×C1711yescharacteristic
1160C22×D4—21no—
1161C22×D4C23×C1711yescharacteristic
1162C22×D4C23×C1711yescharacteristic
1163C23×C4—21no—
1164C23×C4C23×C1711yescharacteristic
1165#137—42no—
1166#137—42no—
1167AGL(1,ℤ/8)—42no—
1168AGL(1,ℤ/8)—42no—
1169#135—42no—
1170#135—42no—
1171C2×Q16—42no—
1172C2×Q16C23×C1711yescharacteristic
1173C2×Q16C23×C1711yescharacteristic
1174C2×Q16C23×C1711yescharacteristic
1175C2×Q16C23×C1711yescharacteristic
1176C2×Q16C23×C1711yescharacteristic
1177C2×Q16C23×C1711yescharacteristic
1178C2×Q16C23×C1711yescharacteristic
1179C2×Q16C23×C1711yescharacteristic
1180C2×SD16—42no—
1181C2×SD16C23×C1711yescharacteristic
1182C2×SD16C23×C1711yescharacteristic
1183C2×SD16C23×C1711yescharacteristic
1184C2×SD16C23×C1711yescharacteristic
1185C2×SD16C23×C1711yescharacteristic
1186C2×SD16C23×C1711yescharacteristic
1187C2×SD16C23×C1711yescharacteristic
1188C2×SD16C23×C1711yescharacteristic
1189C2×SD16C23×C1711yescharacteristic
1190C2×SD16C23×C1711yescharacteristic
1191C2×SD16C23×C1711yescharacteristic
1192C2×SD16C23×C1711yescharacteristic
1193C2×D8C23×C1711yescharacteristic
1194C2×D8C23×C1711yescharacteristic
1195C2×D8C23×C1711yescharacteristic
1196C2×D8C23×C1711yescharacteristic
1197C2×M16C23×C1711yescharacteristic
1198C2×M16C23×C1711yescharacteristic
1199C2×M16C23×C1711yescharacteristic
1200C2×M16C23×C1711yescharacteristic
1201C22×C8C23×C1711yescharacteristic
1202C22×C8C23×C1711yescharacteristic
1203C22×C8C23×C1711yescharacteristic
1204C22×C8C23×C1711yescharacteristic
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8—21no—
1208C4⋊Q8C23×C1711yescharacteristic
1209C4⋊Q8C23×C1711yescharacteristic
1210C4⋊Q8C23×C1711yescharacteristic
1211C4⋊Q8C23×C1711yescharacteristic
1212#127—21no—
1213#126—21no—
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#124—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124—21no—
1233#124C23×C1711yescharacteristic
1234#124C23×C1711yescharacteristic
1235#124C23×C1711yescharacteristic
1236#124C23×C1711yescharacteristic
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123D4×C1711yescharacteristic
1254#123D4×C1711yescharacteristic
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8D4×C1711yescharacteristic
1271C22⋊Q8D4×C1711yescharacteristic
1272C22⋊Q8C23×C1711yescharacteristic
1273C22⋊Q8C23×C1711yescharacteristic
1274C22⋊Q8C23×C1711yescharacteristic
1275C22⋊Q8C23×C1711yescharacteristic
1276C22⋊Q8C23×C1711yescharacteristic
1277C22⋊Q8C23×C1711yescharacteristic
1278C22⋊Q8C23×C1711yescharacteristic
1279C22⋊Q8C23×C1711yescharacteristic
1280C22⋊Q8C23×C1711yescharacteristic
1281C22⋊Q8C23×C1711yescharacteristic
1282C22⋊Q8C23×C1711yescharacteristic
1283C22⋊Q8C23×C1711yescharacteristic
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121D4×C1711yescharacteristic
1300#121D4×C1711yescharacteristic
1301#121C23×C1711yescharacteristic
1302#121C23×C1711yescharacteristic
1303#121C23×C1711yescharacteristic
1304#121C23×C1711yescharacteristic
1305#121C23×C1711yescharacteristic
1306#121C23×C1711yescharacteristic
1307#121C23×C1711yescharacteristic
1308#121C23×C1711yescharacteristic
1309#120—21no—
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120D4×C1711yescharacteristic
1318#120D4×C1711yescharacteristic
1319C4×Q8—21no—
1320C4×Q8—21no—
1321C4×Q8C23×C1711yescharacteristic
1322C4×Q8C23×C1711yescharacteristic
1323C4×Q8C23×C1711yescharacteristic
1324C4×Q8C23×C1711yescharacteristic
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4C23×C1711yescharacteristic
1338C4×D4C23×C1711yescharacteristic
1339C4×D4C23×C1711yescharacteristic
1340C4×D4C23×C1711yescharacteristic
1341C4×D4C23×C1711yescharacteristic
1342C4×D4C23×C1711yescharacteristic
1343C4×D4C23×C1711yescharacteristic
1344C4×D4C23×C1711yescharacteristic
1345#117—21no—
1346#117—21no—
1347#117—21no—
1348#117C23×C1711yescharacteristic
1349#117C23×C1711yescharacteristic
1350#117C23×C1711yescharacteristic
1351#117C23×C1711yescharacteristic
1352#117C23×C1711yescharacteristic
1353C2×C4⋊C4—21no—
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4—21no—
1356C2×C4⋊C4—21no—
1357C2×C4⋊C4C23×C1711yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C22⋊C4—21no—
1363#107C23×C1711yescharacteristic
1364#107C23×C1711yescharacteristic
1365#107C23×C1711yescharacteristic
1366#107C23×C1711yescharacteristic
1367#106C23×C1711yescharacteristic
1368#106C23×C1711yescharacteristic
1369#106C23×C1711yescharacteristic
1370#106C23×C1711yescharacteristic
1371C4⋊C8C23×C1711yescharacteristic
1372C4⋊C8C23×C1711yescharacteristic
1373C4⋊C8C23×C1711yescharacteristic
1374C4⋊C8C23×C1711yescharacteristic
1375#103C23×C1711yescharacteristic
1376#103C23×C1711yescharacteristic
1377#103C23×C1711yescharacteristic
1378#103C23×C1711yescharacteristic
1379#103C23×C1711yescharacteristic
1380#103C23×C1711yescharacteristic
1381#103C23×C1711yescharacteristic
1382#103C23×C1711yescharacteristic
1383#103C23×C1711yescharacteristic
1384#103C23×C1711yescharacteristic
1385#103C23×C1711yescharacteristic
1386#103C23×C1711yescharacteristic
1387#103C23×C1711yescharacteristic
1388#103C23×C1711yescharacteristic
1389#103C23×C1711yescharacteristic
1390#103C23×C1711yescharacteristic
1391#103C23×C1711yescharacteristic
1392#103C23×C1711yescharacteristic
1393#103C23×C1711yescharacteristic
1394#103C23×C1711yescharacteristic
1395#102C23×C1711yescharacteristic
1396#102C23×C1711yescharacteristic
1397#102C23×C1711yescharacteristic
1398#102C23×C1711yescharacteristic
1399#102C23×C1711yescharacteristic
1400#102C23×C1711yescharacteristic
1401#102C23×C1711yescharacteristic
1402#102C23×C1711yescharacteristic
1403#102C23×C1711yescharacteristic
1404#102C23×C1711yescharacteristic
1405#102C23×C1711yescharacteristic
1406#102C23×C1711yescharacteristic
1407C22⋊C8C23×C1711yescharacteristic
1408C22⋊C8C23×C1711yescharacteristic
1409C22⋊C8C23×C1711yescharacteristic
1410C22⋊C8C23×C1711yescharacteristic
1411C22⋊C8C23×C1711yescharacteristic
1412C22⋊C8C23×C1711yescharacteristic
1413C22⋊C8C23×C1711yescharacteristic
1414C22⋊C8C23×C1711yescharacteristic
1415C22⋊C8C23×C1711yescharacteristic
1416C22⋊C8C23×C1711yescharacteristic
1417C22⋊C8C23×C1711yescharacteristic
1418C22⋊C8C23×C1711yescharacteristic
1419#97C23×C1711yescharacteristic
1420#97C23×C1711yescharacteristic
1421C4×C8C23×C1711yescharacteristic
1422C4×C8C23×C1711yescharacteristic
1423C17#6162711yescharacteristic, direct product factor, Sylow
1424C24—21no—
1425C24—21no—
1426C24C2×D4×C1711yescharacteristic
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449#41—44no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—44no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8C2×D4×C1711yescharacteristic
1469C2×Q8C24×C1711yescharacteristic
1470C2×Q8C24×C1711yescharacteristic
1471C2×Q8C24×C1711yescharacteristic
1472C2×Q8C24×C1711yescharacteristic
1473C2×Q8C24×C1711yescharacteristic
1474C2×Q8C24×C1711yescharacteristic
1475C2×D4—21no—
1476C2×D4—22no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4C2×D4×C1711yescharacteristic
1499C2×D4C2×D4×C1711yescharacteristic
1500C2×D4C2×D4×C1711yescharacteristic
1501C2×D4C2×D4×C1711yescharacteristic
1502C2×D4C2×D4×C1711yescharacteristic
1503C2×D4C2×D4×C1711yescharacteristic
1504C2×D4C2×D4×C1711yescharacteristic
1505C2×D4C24×C1711yescharacteristic
1506C2×D4C24×C1711yescharacteristic
1507C2×D4C24×C1711yescharacteristic
1508C2×D4C24×C1711yescharacteristic
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—41no—
1528C22×C4—41no—
1529C22×C4—44no—
1530C22×C4C2×D4×C1711yescharacteristic
1531C22×C4C2×D4×C1711yescharacteristic
1532C22×C4C2×D4×C1711yescharacteristic
1533C22×C4C24×C1711yescharacteristic
1534C22×C4C24×C1711yescharacteristic
1535C22×C4C24×C1711yescharacteristic
1536C22×C4C24×C1711yescharacteristic
1537C22×C4C24×C1711yescharacteristic
1538Q16—22no—
1539Q16—22no—
1540Q16—41no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546SD16—22no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—41no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558D8—22no—
1559D8—22no—
1560D8—41no—
1561D8—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8C24×C1711yescharacteristic
1571C2×C8C24×C1711yescharacteristic
1572C2×C8C24×C1711yescharacteristic
1573C2×C8C24×C1711yescharacteristic
1574C2×C8C24×C1711yescharacteristic
1575C2×C8C24×C1711yescharacteristic
1576C2×C8C24×C1711yescharacteristic
1577C2×C8C24×C1711yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4C2×D4×C1711yescharacteristic
1602C4⋊C4C2×D4×C1711yescharacteristic
1603C4⋊C4C2×D4×C1711yescharacteristic
1604C4⋊C4C2×D4×C1711yescharacteristic
1605C4⋊C4C2×D4×C1711yescharacteristic
1606C4⋊C4C2×D4×C1711yescharacteristic
1607C4⋊C4C24×C1711yescharacteristic
1608C4⋊C4C24×C1711yescharacteristic
1609C4⋊C4C24×C1711yescharacteristic
1610C4⋊C4C24×C1711yescharacteristic
1611C4⋊C4C24×C1711yescharacteristic
1612C4⋊C4C24×C1711yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4C2×D4×C1711yescharacteristic
1650C22⋊C4C2×D4×C1711yescharacteristic
1651C22⋊C4C2×D4×C1711yescharacteristic
1652C22⋊C4C2×D4×C1711yescharacteristic
1653C22⋊C4C2×D4×C1711yescharacteristic
1654C22⋊C4C2×D4×C1711yescharacteristic
1655C22⋊C4C2×D4×C1711yescharacteristic
1656C22⋊C4C2×D4×C1711yescharacteristic
1657C22⋊C4C2×D4×C1711yescharacteristic
1658C22⋊C4C2×D4×C1711yescharacteristic
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42—21no—
1667C42C24×C1711yescharacteristic
1668C42C24×C1711yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—42no—
1677C23—42no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23C22×D4×C1711yescharacteristic
1683C23C22×D4×C1711yescharacteristic
1684C23C22×D4×C1711yescharacteristic
1685C23C22×D4×C1711yescharacteristic
1686C23C22×D4×C1711yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—42no—
1700Q8—42no—
1701Q8—42no—
1702Q8—42no—
1703Q8—81no—
1704Q8—81no—
1705Q8—81no—
1706Q8C17×H(5,𝔽2)12yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4C17×H(5,𝔽2)12yes—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4C22×D4×C1711yescharacteristic
1784C2×C4C22×D4×C1711yescharacteristic
1785C2×C4C22×D4×C1711yescharacteristic
1786C2×C4C22×D4×C1711yescharacteristic
1787C2×C4C22×D4×C1711yescharacteristic
1788C2×C4C22×D4×C1711yescharacteristic
1789C2×C4C22×D4×C1711yescharacteristic
1790C2×C4C22×D4×C1711yescharacteristic
1791C2×C4C22×D4×C1711yescharacteristic
1792C2×C4C25×C1711yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C22—21no—
1802C22—22no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—82no—
1829C22—84no—
1830C22—162no—
1831C22C23×D4×C1711yescharacteristic
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×C17×H(5,𝔽2)11yescharacteristic
1854C4C2×C17×H(5,𝔽2)11yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C17×#348411yescharacteristic
1865C2C17×#358411yescharacteristic
1866C2C17×#358611yescharacteristic
subgroupG/H
center, socleC22×C17C23×D4
commutator, Frattini, cosocleC2×C4C25×C17
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C17 ◁ C17×#525 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C17×#3540C2semidirect
2. C17×#3489C2semidirect
3. C17×#3329C2semidirect
4. C17×#3328C2semidirect
5. C17×#3321C2semidirect
6. C17×#3319C2semidirect
7. C17×#3313C2semidirect
8. C17×#3311C2semidirect
9. C17×#3303C2semidirect
10. C17×#3302C2semidirect
11. C17×#3285C2semidirect
12. C17×#3282C2semidirect
13. C17×#3275C2semidirect
14. C17×#3273C2semidirect
15. C17×#3270C2semidirect
16. C17×#3269C2semidirect
17. C17×#3267C2semidirect
18. C17×#3266C2semidirect
19. C17×#3225C2semidirect
20. C17×#3225C2semidirect
21. C17×#3201C2semidirect
22. C17×#3198C2semidirect
23. C17×#3196C2semidirect
24. C17×#3190C2semidirect
25. C17×#3125C2semidirect
26. C17×#3124C2semidirect
27. C17×#3011C2semidirect
28. C17×#3010C2semidirect
29. C17×#3005C2semidirect
30. C17×#3002C2semidirect
31. C17×#2976C2semidirect
33. C22×#41×C17C22semidirect
35. C2×C17×#137C22semidirect
37. C2×C17×AGL(1,ℤ/8)C22semidirect
40. C22×Q16×C17C22semidirect
41. C22×SD16×C17C22semidirect
46. C17×#556C22semidirect
48. C17×#555C22semidirect
51. D4×Q8×C17C22semidirect
54. C17×#548C22semidirect
55. C17×#548C22semidirect
59. C17×#547C22semidirect
64. C17×#546C22semidirect
65. C17×#546C22semidirect
68. C17×#542C22semidirect
69. C17×#542C22semidirect
75. C17×#536C22semidirect
76. C17×#536C22semidirect
77. C17×#535C22semidirect
83. C2×C17×C22⋊Q8C22semidirect
84. C17×#520C22semidirect
85. C17×#497C22semidirect
86. C17×#497C22semidirect
87. C17×#495C22semidirect
88. C17×#495C22semidirect
89. C17×#489C22semidirect
90. C17×#489C22semidirect
91. C17×#487C22semidirect
92. C17×#487C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#485C22semidirect
96. C17×#485C22semidirect
97. C17×#485C22semidirect
98. C17×#485C22semidirect
99. C17×#484C22semidirect
100. C17×#483C22semidirect
101. C17×#482C22semidirect
102. C17×#482C22semidirect
103. C17×#481C22semidirect
104. C17×#480C22semidirect
105. C17×#477C22semidirect
106. C17×#476C22semidirect
107. C17×#475C22semidirect
108. C17×#474C22semidirect
109. C17×#470C22semidirect
110. C17×#470C22semidirect
111. C17×#470C22semidirect
112. C17×#469C22semidirect
115. C17×#468C22semidirect
116. C17×#468C22semidirect
117. C17×#467C22semidirect
118. C17×#467C22semidirect
119. C17×#467C22semidirect
120. C17×#466C22semidirect
121. C17×#465C22semidirect
122. C17×#465C22semidirect
123. C17×#465C22semidirect
124. C17×#465C22semidirect
125. C17×#464C22semidirect
126. C17×#464C22semidirect
127. C17×#464C22semidirect
128. C17×#464C22semidirect
129. C17×#463C22semidirect
130. C17×#463C22semidirect
131. C17×#463C22semidirect
132. C17×#463C22semidirect
133. C17×#462C22semidirect
134. C17×#462C22semidirect
135. C17×#461C22semidirect
136. C17×#461C22semidirect
139. C17×#452C22semidirect
140. C17×#452C22semidirect
141. C17×#452C22semidirect
142. C17×#452C22semidirect
143. C17×#452C22semidirect
144. C17×#452C22semidirect
145. C17×#452C22semidirect
146. C17×#452C22semidirect
147. C17×#452C22semidirect
148. C17×#452C22semidirect
149. C17×#451C22semidirect
150. C17×#451C22semidirect
151. C17×#451C22semidirect
152. C17×#451C22semidirect
153. C17×#451C22semidirect
154. C17×#451C22semidirect
155. C17×#450C22semidirect
156. C17×#450C22semidirect
163. C17×#449C22semidirect
164. C17×#449C22semidirect
166. C17×#448C22semidirect
167. C17×#448C22semidirect
168. C17×#448C22semidirect
169. C17×#448C22semidirect
170. C17×#448C22semidirect
172. C17×#447C22semidirect
173. C17×#442C22semidirect
174. C17×#441C22semidirect
175. C17×#440C22semidirect
176. C17×#440C22semidirect
177. C4×Q16×C17C22semidirect
178. C4×SD16×C17C22semidirect
179. C4×SD16×C17C22semidirect
180. C4×D8×C17C22semidirect
182. C17×#436C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
186. C17×#435C22semidirect
187. C8×D4×C17C22semidirect
188. C8×D4×C17C22semidirect
189. C17×#433C22semidirect
190. C17×#433C22semidirect
191. C17×#419C22semidirect
192. C17×#419C22semidirect
193. C17×#419C22semidirect
194. C17×#418C22semidirect
195. C17×#416C22semidirect
196. C17×#416C22semidirect
197. C17×#416C22semidirect
198. C17×#416C22semidirect
199. C17×#408C22semidirect
200. C17×#408C22semidirect
201. C17×#407C22semidirect
202. C2×C17×C22⋊C8C22semidirect
735. #61627C17direct (N × H)
868. #3540C2×C17semidirect
869. #3489C2×C17semidirect
870. #3329C2×C17semidirect
871. #3328C2×C17semidirect
872. #3321C2×C17semidirect
873. #3319C2×C17semidirect
874. #3313C2×C17semidirect
875. #3311C2×C17semidirect
876. #3303C2×C17semidirect
877. #3302C2×C17semidirect
878. #3285C2×C17semidirect
879. #3282C2×C17semidirect
880. #3275C2×C17semidirect
881. #3273C2×C17semidirect
882. #3270C2×C17semidirect
883. #3269C2×C17semidirect
884. #3267C2×C17semidirect
885. #3266C2×C17semidirect
886. #3225C2×C17semidirect
887. #3225C2×C17semidirect
888. #3201C2×C17semidirect
889. #3198C2×C17semidirect
890. #3196C2×C17semidirect
891. #3190C2×C17semidirect
892. #3125C2×C17semidirect
893. #3124C2×C17semidirect
894. #3011C2×C17semidirect
895. #3010C2×C17semidirect
896. #3005C2×C17semidirect
897. #3002C2×C17semidirect
898. #2976C2×C17semidirect
954. C22×#41C22×C17semidirect
956. C2×#137C22×C17semidirect
958. C2×AGL(1,ℤ/8)C22×C17semidirect
961. C22×Q16C22×C17semidirect
962. C22×SD16C22×C17semidirect
967. #556C22×C17semidirect
969. #555C22×C17semidirect
972. D4×Q8C22×C17semidirect
975. #548C22×C17semidirect
976. #548C22×C17semidirect
980. #547C22×C17semidirect
985. #546C22×C17semidirect
986. #546C22×C17semidirect
989. #542C22×C17semidirect
990. #542C22×C17semidirect
996. #536C22×C17semidirect
997. #536C22×C17semidirect
998. #535C22×C17semidirect
1004. C2×C22⋊Q8C22×C17semidirect
1005. #520C22×C17semidirect
1006. #497C22×C17semidirect
1007. #497C22×C17semidirect
1008. #495C22×C17semidirect
1009. #495C22×C17semidirect
1010. #489C22×C17semidirect
1011. #489C22×C17semidirect
1012. #487C22×C17semidirect
1013. #487C22×C17semidirect
1014. #485C22×C17semidirect
1015. #485C22×C17semidirect
1016. #485C22×C17semidirect
1017. #485C22×C17semidirect
1018. #485C22×C17semidirect
1019. #485C22×C17semidirect
1020. #484C22×C17semidirect
1021. #483C22×C17semidirect
1022. #482C22×C17semidirect
1023. #482C22×C17semidirect
1024. #481C22×C17semidirect
1025. #480C22×C17semidirect
1026. #477C22×C17semidirect
1027. #476C22×C17semidirect
1028. #475C22×C17semidirect
1029. #474C22×C17semidirect
1030. #470C22×C17semidirect
1031. #470C22×C17semidirect
1032. #470C22×C17semidirect
1033. #469C22×C17semidirect
1036. #468C22×C17semidirect
1037. #468C22×C17semidirect
1038. #467C22×C17semidirect
1039. #467C22×C17semidirect
1040. #467C22×C17semidirect
1041. #466C22×C17semidirect
1042. #465C22×C17semidirect
1043. #465C22×C17semidirect
1044. #465C22×C17semidirect
1045. #465C22×C17semidirect
1046. #464C22×C17semidirect
1047. #464C22×C17semidirect
1048. #464C22×C17semidirect
1049. #464C22×C17semidirect
1050. #463C22×C17semidirect
1051. #463C22×C17semidirect
1052. #463C22×C17semidirect
1053. #463C22×C17semidirect
1054. #462C22×C17semidirect
1055. #462C22×C17semidirect
1056. #461C22×C17semidirect
1057. #461C22×C17semidirect
1060. #452C22×C17semidirect
1061. #452C22×C17semidirect
1062. #452C22×C17semidirect
1063. #452C22×C17semidirect
1064. #452C22×C17semidirect
1065. #452C22×C17semidirect
1066. #452C22×C17semidirect
1067. #452C22×C17semidirect
1068. #452C22×C17semidirect
1069. #452C22×C17semidirect
1070. #451C22×C17semidirect
1071. #451C22×C17semidirect
1072. #451C22×C17semidirect
1073. #451C22×C17semidirect
1074. #451C22×C17semidirect
1075. #451C22×C17semidirect
1076. #450C22×C17semidirect
1077. #450C22×C17semidirect
1084. #449C22×C17semidirect
1085. #449C22×C17semidirect
1087. #448C22×C17semidirect
1088. #448C22×C17semidirect
1089. #448C22×C17semidirect
1090. #448C22×C17semidirect
1091. #448C22×C17semidirect
1093. #447C22×C17semidirect
1094. #442C22×C17semidirect
1095. #441C22×C17semidirect
1096. #440C22×C17semidirect
1097. #440C22×C17semidirect
1098. C4×Q16C22×C17semidirect
1099. C4×SD16C22×C17semidirect
1100. C4×SD16C22×C17semidirect
1101. C4×D8C22×C17semidirect
1103. #436C22×C17semidirect
1105. #435C22×C17semidirect
1106. #435C22×C17semidirect
1107. #435C22×C17semidirect
1108. C8×D4C22×C17semidirect
1109. C8×D4C22×C17semidirect
1110. #433C22×C17semidirect
1111. #433C22×C17semidirect
1112. #419C22×C17semidirect
1113. #419C22×C17semidirect
1114. #419C22×C17semidirect
1115. #418C22×C17semidirect
1116. #416C22×C17semidirect
1117. #416C22×C17semidirect
1118. #416C22×C17semidirect
1119. #416C22×C17semidirect
1120. #408C22×C17semidirect
1121. #408C22×C17semidirect
1122. #407C22×C17semidirect
1123. C2×C22⋊C8C22×C17semidirect
1423. C17#61627direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#35402
C17×#34892
C17×#33292
C17×#33282
C17×#33212
C17×#33192
C17×#33132
C17×#33112
C17×#33032
C17×#33022
C17×#32852
C17×#32822
C17×#32752
C17×#32732
C17×#32702
C17×#32692
C17×#32672
C17×#32662
C17×#32252
C17×#32012
C17×#31982
C17×#31962
C17×#31902
C17×#31252
C17×#31242
C17×#30112
C17×#30102
C17×#30052
C17×#30022
C17×#29762
#6162717