Finite Group Databasebeta

← C17×#61616 #16919360

Subgroups — C17×#61616 #16919360

Order 4352.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3542C211yesmaximal, characteristic, complemented
2C17×#3487C211yesmaximal, characteristic, complemented
3C17×#3332C211yesmaximal, characteristic, complemented
4C17×#3327C211yesmaximal, characteristic, complemented
5C17×#3321C211yesmaximal, characteristic, complemented
6C17×#3317C211yesmaximal, characteristic, complemented
7C17×#3309C211yesmaximal, characteristic, complemented
8C17×#3308C211yesmaximal, characteristic, complemented
9C17×#3305C211yesmaximal, characteristic, complemented
10C17×#3301C211yesmaximal, characteristic, complemented
11C17×#3287C211yesmaximal, characteristic, complemented
12C17×#3282C211yesmaximal, characteristic, complemented
13C17×#3275C211yesmaximal, characteristic, complemented
14C17×#3274C211yesmaximal, characteristic, complemented
15C17×#3271C211yesmaximal, characteristic, complemented
16C17×#3268C211yesmaximal, characteristic, complemented
17C17×#3268C211yesmaximal, characteristic, complemented
18C17×#3265C211yesmaximal, characteristic, complemented
19C17×#3224C211yesmaximal, characteristic, complemented
20C17×#3220C211yesmaximal, characteristic, complemented
21C17×#3199C211yesmaximal, characteristic, complemented
22C17×#3198C211yesmaximal, characteristic, complemented
23C17×#3197C211yesmaximal, characteristic, complemented
24C17×#3188C211yesmaximal, characteristic, complemented
25C17×#3126C211yesmaximal, characteristic, complemented
26C17×#3121C211yesmaximal, characteristic, complemented
27C17×#3013C211yesmaximal, characteristic, complemented
28C17×#3010C211yesmaximal, characteristic, complemented
29C17×#3006C211yesmaximal, characteristic, complemented
30C17×#3002C211yesmaximal, characteristic, complemented
31C17×#2976C211yesmaximal, characteristic, complemented
32C2×C17×2−1+4C2211yescharacteristic, complemented
33C22×#41×C17C2211yescharacteristic, complemented
34C2×C17×#137C2211yescharacteristic, complemented
35C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
36C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
37C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C17×#135C2211yescharacteristic, complemented
39C2×C17×#135C2211yescharacteristic, complemented
40C2×C17×#135C2211yescharacteristic, complemented
41C22×SD16×C17C2211yescharacteristic, complemented
42C17×#562—21no—
43C17×#560—21no—
44C17×#555C2211yescharacteristic, complemented
45C17×#553C2211yescharacteristic, complemented
46C17×#552C2211yescharacteristic, complemented
47C17×#551—21no—
48C17×#550—21no—
49C17×#550—21no—
50C17×#550C2211yescharacteristic
51C17×#550C2211yescharacteristic, complemented
52C17×#550C2211yescharacteristic, complemented
53C17×#550C2211yescharacteristic, complemented
54C17×#550C2211yescharacteristic, complemented
55C17×#548—21no—
56C17×#548—21no—
57C17×#548C2211yescharacteristic
58C17×#548C2211yescharacteristic, complemented
59C17×#548C2211yescharacteristic, complemented
60C17×#548C2211yescharacteristic, complemented
61C17×#547C2211yescharacteristic, complemented
62C17×#546—21no—
63C17×#546C2211yescharacteristic, complemented
64C17×#546C2211yescharacteristic, complemented
65D42×C17C2211yescharacteristic, complemented
66C17×#542C2211yescharacteristic
67C17×#540—21no—
68C17×#540C2211yescharacteristic
69C17×#538—21no—
70C17×#537C2211yescharacteristic
71C17×#535—21no—
72C17×#535—21no—
73C17×#535—21no—
74C17×#535C2211yescharacteristic
75C17×#535C2211yescharacteristic, complemented
76C17×#535C2211yescharacteristic, complemented
77C17×#534—21no—
78C17×#525—21no—
79C17×#525—21no—
80C17×#525C2211yescharacteristic
81C17×#525C2211yescharacteristic
82C17×#525C2211yescharacteristic, complemented
83C2×C17×#121C2211yescharacteristic
84C17×#519C2211yescharacteristic, complemented
85C17×#496C2211yescharacteristic, complemented
86C17×#496C2211yescharacteristic, complemented
87C17×#495C2211yescharacteristic, complemented
88C17×#493C2211yescharacteristic, complemented
89C17×#490C2211yescharacteristic, complemented
90C17×#489C2211yescharacteristic, complemented
91C17×#488C2211yescharacteristic, complemented
92C17×#486C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#484C2211yescharacteristic, complemented
96C17×#482C2211yescharacteristic
97C17×#482C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic, complemented
99C17×#482C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic, complemented
101C17×#482C2211yescharacteristic, complemented
102C17×#481C2211yescharacteristic, complemented
103C17×#481C2211yescharacteristic, complemented
104C17×#480C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#477C2211yescharacteristic, complemented
108C17×#475C2211yescharacteristic, complemented
109C17×#470C2211yescharacteristic, complemented
110C17×#469C2211yescharacteristic, complemented
111C17×#469C2211yescharacteristic, complemented
112C17×#469C2211yescharacteristic, complemented
113C17×#469C2211yescharacteristic, complemented
114C17×#468C2211yescharacteristic, complemented
115C17×#468C2211yescharacteristic, complemented
116C17×#468C2211yescharacteristic, complemented
117C17×#466C2211yescharacteristic, complemented
118C17×#466C2211yescharacteristic, complemented
119C17×#466C2211yescharacteristic, complemented
120C17×#466C2211yescharacteristic, complemented
121C17×#466C2211yescharacteristic, complemented
122C17×#465C2211yescharacteristic, complemented
123C17×#465C2211yescharacteristic, complemented
124C17×#465C2211yescharacteristic, complemented
125C17×#464C2211yescharacteristic, complemented
126C17×#464C2211yescharacteristic, complemented
127C17×#464C2211yescharacteristic, complemented
128C17×#463C2211yescharacteristic, complemented
129C17×#463C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic, complemented
131C17×#460C2211yescharacteristic, complemented
132C17×#460C2211yescharacteristic, complemented
133C17×#460C2211yescharacteristic, complemented
134C17×#459C2211yescharacteristic, complemented
135C17×#459C2211yescharacteristic, complemented
136C17×#459C2211yescharacteristic, complemented
137C17×#452C2211yescharacteristic, complemented
138C17×#452C2211yescharacteristic, complemented
139C17×#452C2211yescharacteristic, complemented
140C17×#452C2211yescharacteristic, complemented
141C17×#452C2211yescharacteristic, complemented
142C17×#451C2211yescharacteristic, complemented
143C17×#451C2211yescharacteristic, complemented
144C17×#450C2211yescharacteristic, complemented
145C17×#450C2211yescharacteristic, complemented
146C17×#449C2211yescharacteristic
147C17×#449C2211yescharacteristic
148C17×#449C2211yescharacteristic
149C17×#449C2211yescharacteristic
150C17×#449C2211yescharacteristic
151C17×#449C2211yescharacteristic, complemented
152C17×#449C2211yescharacteristic, complemented
153C17×#449C2211yescharacteristic, complemented
154C17×#449C2211yescharacteristic, complemented
155C17×#449C2211yescharacteristic, complemented
156C17×#449C2211yescharacteristic, complemented
157C17×#449C2211yescharacteristic, complemented
158C17×#449C2211yescharacteristic, complemented
159C17×#449C2211yescharacteristic, complemented
160C17×#449C2211yescharacteristic, complemented
161C17×#448C2211yescharacteristic
162C17×#448C2211yescharacteristic, complemented
163C17×#448C2211yescharacteristic, complemented
164C17×#448C2211yescharacteristic, complemented
165C17×#448C2211yescharacteristic, complemented
166C17×#448C2211yescharacteristic, complemented
167C17×#447C2211yescharacteristic
168C17×#447C2211yescharacteristic, complemented
169C17×#447C2211yescharacteristic, complemented
170C17×#447C2211yescharacteristic, complemented
171C17×#447C2211yescharacteristic, complemented
172C17×#447C2211yescharacteristic, complemented
173C17×#441C2211yescharacteristic, complemented
174C17×#440C2211yescharacteristic, complemented
175C17×#440C2211yescharacteristic, complemented
176C17×#440C2211yescharacteristic, complemented
177C4×Q16×C17C2211yescharacteristic, complemented
178C4×SD16×C17C2211yescharacteristic, complemented
179C4×SD16×C17C2211yescharacteristic, complemented
180C4×SD16×C17C2211yescharacteristic, complemented
181C17×#436C2211yescharacteristic, complemented
182C17×#436C2211yescharacteristic, complemented
183C17×#435C2211yescharacteristic, complemented
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×#417C2211yescharacteristic, complemented
193C17×#417C2211yescharacteristic, complemented
194C17×#417C2211yescharacteristic, complemented
195C17×#416C2211yescharacteristic, complemented
196C17×#416C2211yescharacteristic, complemented
197C17×#416C2211yescharacteristic, complemented
198C2×C17×#103C2211yescharacteristic, 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—21no—
211C2×#41×C17—42no—
212C2×#41×C17—42no—
213C2×#41×C17C2311yescharacteristic
214C2×#41×C17C2311yescharacteristic
215C2×#41×C17C2311yescharacteristic
216C2×#41×C17C2311yescharacteristic
217C2×#41×C17C2311yescharacteristic
218C2×#41×C17C2311yescharacteristic
219C2×#41×C17C2311yescharacteristic
220C2×#41×C17C2311yescharacteristic
221C2×#41×C17C2311yescharacteristic
222C2×#41×C17C2311yescharacteristic
223C22×Q8×C17—21no—
224C22×Q8×C17C2311yescharacteristic
225C22×Q8×C17C2311yescharacteristic
226C22×Q8×C17C2311yescharacteristic
227C22×D4×C17—21no—
228C22×D4×C17—21no—
229C22×D4×C17—21no—
230C22×D4×C17C2311yescharacteristic
231C22×D4×C17C2311yescharacteristic
232C22×D4×C17C2311yescharacteristic
233C23×C4×C17—21no—
234C23×C4×C17C2311yescharacteristic
235C17×#137—42no—
236C17×AGL(1,ℤ/8)—42no—
237C17×AGL(1,ℤ/8)—42no—
238C17×AGL(1,ℤ/8)—42no—
239C17×#135—42no—
240C17×#135—42no—
241C17×#135—42no—
242C2×Q16×C17C2311yescharacteristic
243C2×Q16×C17C2311yescharacteristic
244C2×Q16×C17C2311yescharacteristic
245C2×SD16×C17—42no—
246C2×SD16×C17C2311yescharacteristic
247C2×SD16×C17C2311yescharacteristic
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×D8×C17C2311yescharacteristic
259C2×D8×C17C2311yescharacteristic
260C2×D8×C17C2311yescharacteristic
261C2×D8×C17C2311yescharacteristic
262C2×D8×C17C2311yescharacteristic
263C2×D8×C17C2311yescharacteristic
264C2×D8×C17C2311yescharacteristic
265C2×D8×C17C2311yescharacteristic
266C2×D8×C17C2311yescharacteristic
267C2×M16×C17C2311yescharacteristic
268C2×M16×C17C2311yescharacteristic
269C2×M16×C17C2311yescharacteristic
270C2×M16×C17C2311yescharacteristic
271C22×C8×C17C2311yescharacteristic
272C22×C8×C17C2311yescharacteristic
273C22×C8×C17C2311yescharacteristic
274C22×C8×C17C2311yescharacteristic
275C17×C4⋊Q8C2311yescharacteristic
276C17×#127—21no—
277C17×#127—21no—
278C17×#127—21no—
279C17×#127—21no—
280C17×#127—21no—
281C17×#127—21no—
282C17×#127—21no—
283C17×#127C2311yescharacteristic
284C17×#127C2311yescharacteristic
285C17×#127C2311yescharacteristic
286C17×#126—21no—
287C17×#126—21no—
288C17×#126—21no—
289C17×#125—21no—
290C17×#125C2311yescharacteristic
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×#123—21no—
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×#123D411yescharacteristic
315C17×#123D411yescharacteristic
316C17×C22⋊Q8—21no—
317C17×C22⋊Q8—21no—
318C17×C22⋊Q8—21no—
319C17×C22⋊Q8—21no—
320C17×C22⋊Q8—21no—
321C17×C22⋊Q8—21no—
322C17×C22⋊Q8—21no—
323C17×C22⋊Q8D411yescharacteristic
324C17×C22⋊Q8D411yescharacteristic
325C17×C22⋊Q8C2311yescharacteristic
326C17×C22⋊Q8C2311yescharacteristic
327C17×C22⋊Q8C2311yescharacteristic
328C17×C22⋊Q8C2311yescharacteristic
329C17×C22⋊Q8C2311yescharacteristic
330C17×#121—21no—
331C17×#121—21no—
332C17×#121—21no—
333C17×#121—21no—
334C17×#121—21no—
335C17×#121—21no—
336C17×#121—21no—
337C17×#121—21no—
338C17×#121—21no—
339C17×#121—21no—
340C17×#121—21no—
341C17×#121—21no—
342C17×#121—21no—
343C17×#121—21no—
344C17×#121—21no—
345C17×#121—21no—
346C17×#121—21no—
347C17×#121—21no—
348C17×#121—21no—
349C17×#121—21no—
350C17×#121—21no—
351C17×#121—21no—
352C17×#121—21no—
353C17×#121—21no—
354C17×#121—21no—
355C17×#121—21no—
356C17×#121—21no—
357C17×#121—21no—
358C17×#121D411yescharacteristic
359C17×#121D411yescharacteristic
360C17×#121C2311yescharacteristic
361C17×#121C2311yescharacteristic
362C17×#121C2311yescharacteristic
363C17×#121C2311yescharacteristic
364C17×#121C2311yescharacteristic
365C17×#121C2311yescharacteristic
366C17×#121C2311yescharacteristic
367C17×#121C2311yescharacteristic
368C17×#121C2311yescharacteristic
369C17×#121C2311yescharacteristic
370C17×#121C2311yescharacteristic
371C17×#121C2311yescharacteristic
372C17×#121C2311yescharacteristic
373C17×#121C2311yescharacteristic
374C17×#121C2311yescharacteristic
375C17×#120—21no—
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×#120—21no—
385C17×#120—21no—
386C17×#120—21no—
387C17×#120D411yescharacteristic
388C17×#120D411yescharacteristic
389C4×Q8×C17—21no—
390C4×Q8×C17—21no—
391C4×Q8×C17C2311yescharacteristic
392C4×Q8×C17C2311yescharacteristic
393C4×Q8×C17C2311yescharacteristic
394C4×Q8×C17C2311yescharacteristic
395C4×Q8×C17C2311yescharacteristic
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×C17—21no—
405C4×D4×C17—21no—
406C4×D4×C17—21no—
407C4×D4×C17—21no—
408C4×D4×C17—21no—
409C4×D4×C17—21no—
410C4×D4×C17C2311yescharacteristic
411C4×D4×C17C2311yescharacteristic
412C4×D4×C17C2311yescharacteristic
413C4×D4×C17C2311yescharacteristic
414C4×D4×C17C2311yescharacteristic
415C4×D4×C17C2311yescharacteristic
416C4×D4×C17C2311yescharacteristic
417C17×#117—21no—
418C17×#117—21no—
419C17×#117—21no—
420C17×#117—21no—
421C17×#117C2311yescharacteristic
422C17×#117C2311yescharacteristic
423C17×#117C2311yescharacteristic
424C17×#117C2311yescharacteristic
425C2×C4⋊C4×C17C2311yescharacteristic
426C2×C4⋊C4×C17C2311yescharacteristic
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×#102C2311yescharacteristic
457C17×#102C2311yescharacteristic
458C17×#102C2311yescharacteristic
459C17×#102C2311yescharacteristic
460C17×#102C2311yescharacteristic
461C17×#102C2311yescharacteristic
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×C17—21no—
493C24×C17C2×D411yescharacteristic
494#41×C17—22no—
495#41×C17—22no—
496#41×C17—22no—
497#41×C17—22no—
498#41×C17—22no—
499#41×C17—22no—
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—41no—
508#41×C17—41no—
509#41×C17—41no—
510#41×C17—44no—
511#41×C17—44no—
512#41×C17—41no—
513#41×C17—41no—
514#41×C17—41no—
515#41×C17—41no—
516#41×C17—44no—
517#41×C17—44no—
518#41×C17—44no—
519#41×C17—82no—
520C2×Q8×C17—22no—
521C2×Q8×C17—22no—
522C2×Q8×C17—21no—
523C2×Q8×C17—21no—
524C2×Q8×C17—21no—
525C2×Q8×C17—21no—
526C2×Q8×C17—22no—
527C2×Q8×C17—22no—
528C2×Q8×C17—41no—
529C2×Q8×C17—41no—
530C2×Q8×C17—44no—
531C2×Q8×C17C2×D411yescharacteristic
532C2×Q8×C17C2411yescharacteristic
533C2×Q8×C17C2411yescharacteristic
534C2×Q8×C17C2411yescharacteristic
535C2×Q8×C17C2411yescharacteristic
536C2×D4×C17—21no—
537C2×D4×C17—21no—
538C2×D4×C17—21no—
539C2×D4×C17—21no—
540C2×D4×C17—21no—
541C2×D4×C17—21no—
542C2×D4×C17—21no—
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—21no—
561C2×D4×C17—21no—
562C2×D4×C17—21no—
563C2×D4×C17—21no—
564C2×D4×C17—21no—
565C2×D4×C17—21no—
566C2×D4×C17—21no—
567C2×D4×C17—21no—
568C2×D4×C17—21no—
569C2×D4×C17—41no—
570C2×D4×C17—41no—
571C2×D4×C17—41no—
572C2×D4×C17—41no—
573C2×D4×C17—41no—
574C2×D4×C17—41no—
575C2×D4×C17—44no—
576C2×D4×C17—82no—
577C2×D4×C17—82no—
578C2×D4×C17C2×D411yescharacteristic
579C2×D4×C17C2×D411yescharacteristic
580C2×D4×C17C2×D411yescharacteristic
581C2×D4×C17C2×D411yescharacteristic
582C2×D4×C17C2×D411yescharacteristic
583C2×D4×C17C2×D411yescharacteristic
584C2×D4×C17C2×D411yescharacteristic
585C2×D4×C17C2411yescharacteristic
586C2×D4×C17C2411yescharacteristic
587C2×D4×C17C2411yescharacteristic
588C2×D4×C17C2411yescharacteristic
589C2×D4×C17C2411yescharacteristic
590C2×D4×C17C2411yescharacteristic
591C22×C4×C17—21no—
592C22×C4×C17—21no—
593C22×C4×C17—21no—
594C22×C4×C17—21no—
595C22×C4×C17—21no—
596C22×C4×C17—21no—
597C22×C4×C17—21no—
598C22×C4×C17—21no—
599C22×C4×C17—21no—
600C22×C4×C17—21no—
601C22×C4×C17—21no—
602C22×C4×C17—21no—
603C22×C4×C17—21no—
604C22×C4×C17—21no—
605C22×C4×C17—21no—
606C22×C4×C17—21no—
607C22×C4×C17—21no—
608C22×C4×C17—41no—
609C22×C4×C17—41no—
610C22×C4×C17—44no—
611C22×C4×C17C2×D411yescharacteristic
612C22×C4×C17C2×D411yescharacteristic
613C22×C4×C17C2×D411yescharacteristic
614C22×C4×C17C2411yescharacteristic
615C22×C4×C17C2411yescharacteristic
616C22×C4×C17C2411yescharacteristic
617C22×C4×C17C2411yescharacteristic
618C22×C4×C17C2411yescharacteristic
619Q16×C17—22no—
620Q16×C17—22no—
621Q16×C17—41no—
622SD16×C17—22no—
623SD16×C17—22no—
624SD16×C17—22no—
625SD16×C17—22no—
626SD16×C17—22no—
627SD16×C17—22no—
628SD16×C17—41no—
629SD16×C17—41no—
630SD16×C17—41no—
631SD16×C17—41no—
632SD16×C17—41no—
633SD16×C17—41no—
634D8×C17—41no—
635D8×C17—41no—
636D8×C17—41no—
637D8×C17—41no—
638D8×C17—41no—
639D8×C17—41no—
640D8×C17—41no—
641D8×C17—41no—
642D8×C17—41no—
643M16×C17—41no—
644M16×C17—41no—
645M16×C17—41no—
646M16×C17—41no—
647C2×C8×C17—41no—
648C2×C8×C17—41no—
649C2×C8×C17—41no—
650C2×C8×C17—41no—
651C2×C8×C17C2411yescharacteristic
652C2×C8×C17C2411yescharacteristic
653C2×C8×C17C2411yescharacteristic
654C2×C8×C17C2411yescharacteristic
655C2×C8×C17C2411yescharacteristic
656C2×C8×C17C2411yescharacteristic
657C2×C8×C17C2411yescharacteristic
658C2×C8×C17C2411yescharacteristic
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×C17—21no—
668C4⋊C4×C17—21no—
669C4⋊C4×C17—21no—
670C4⋊C4×C17—21no—
671C4⋊C4×C17—21no—
672C4⋊C4×C17—21no—
673C4⋊C4×C17—21no—
674C4⋊C4×C17C2×D411yescharacteristic
675C4⋊C4×C17C2×D411yescharacteristic
676C4⋊C4×C17C2×D411yescharacteristic
677C4⋊C4×C17C2×D411yescharacteristic
678C4⋊C4×C17C2×D411yescharacteristic
679C4⋊C4×C17C2×D411yescharacteristic
680C4⋊C4×C17C2411yescharacteristic
681C4⋊C4×C17C2411yescharacteristic
682C4⋊C4×C17C2411yescharacteristic
683C4⋊C4×C17C2411yescharacteristic
684C4⋊C4×C17C2411yescharacteristic
685C4⋊C4×C17C2411yescharacteristic
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×C17—21no—
716C22⋊C4×C17—21no—
717C22⋊C4×C17—21no—
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
725C22⋊C4×C17C2×D411yescharacteristic
726C22⋊C4×C17C2×D411yescharacteristic
727C22⋊C4×C17C2×D411yescharacteristic
728C42×C17—21no—
729C42×C17—21no—
730C42×C17—21no—
731C42×C17—21no—
732C42×C17—21no—
733C42×C17—21no—
734C42×C17—21no—
735C42×C17—21no—
736C42×C17C2411yescharacteristic
737C42×C17C2411yescharacteristic
738#61616C1711yesmaximal, characteristic, direct product factor, Sylow
739C23×C17—21no—
740C23×C17—21no—
741C23×C17—21no—
742C23×C17—21no—
743C23×C17—21no—
744C23×C17—21no—
745C23×C17—41no—
746C23×C17—41no—
747C23×C17—41no—
748C23×C17—42no—
749C23×C17—42no—
750C23×C17—81no—
751C23×C17—81no—
752C23×C17—81no—
753C23×C17—81no—
754C23×C17—81no—
755C23×C17—81no—
756C23×C17—81no—
757C23×C17C22×D411yescharacteristic
758C23×C17C22×D411yescharacteristic
759C23×C17C22×D411yescharacteristic
760C23×C17C22×D411yescharacteristic
761C23×C17C22×D411yescharacteristic
762Q8×C17—24no—
763Q8×C17—21no—
764Q8×C17—21no—
765Q8×C17—21no—
766Q8×C17—21no—
767Q8×C17—21no—
768Q8×C17—21no—
769Q8×C17—41no—
770Q8×C17—42no—
771Q8×C17—42no—
772Q8×C17—81no—
773Q8×C17H(5,𝔽2)12yes—
774Q8×C17H(5,𝔽2)12yes—
775D4×C17—21no—
776D4×C17—21no—
777D4×C17—21no—
778D4×C17—21no—
779D4×C17—21no—
780D4×C17—21no—
781D4×C17—21no—
782D4×C17—21no—
783D4×C17—21no—
784D4×C17—21no—
785D4×C17—21no—
786D4×C17—21no—
787D4×C17—41no—
788D4×C17—41no—
789D4×C17—41no—
790D4×C17—41no—
791D4×C17—41no—
792D4×C17—41no—
793D4×C17—41no—
794D4×C17—42no—
795D4×C17—42no—
796D4×C17—42no—
797D4×C17—42no—
798D4×C17—42no—
799D4×C17—42no—
800D4×C17—42no—
801D4×C17—42no—
802D4×C17—42no—
803D4×C17—81no—
804D4×C17—81no—
805D4×C17—81no—
806D4×C17—81no—
807D4×C17—81no—
808D4×C17—81no—
809D4×C17—81no—
810D4×C17—81no—
811D4×C17—81no—
812D4×C17—81no—
813D4×C17—81no—
814D4×C17—81no—
815D4×C17—81no—
816D4×C17—81no—
817D4×C17—81no—
818D4×C17—81no—
819D4×C17—81no—
820D4×C17—81no—
821D4×C17—81no—
822D4×C17—81no—
823D4×C17—81no—
824D4×C17—81no—
825D4×C17—81no—
826D4×C17—81no—
827C2×C4×C17—24no—
828C2×C4×C17—21no—
829C2×C4×C17—21no—
830C2×C4×C17—21no—
831C2×C4×C17—21no—
832C2×C4×C17—21no—
833C2×C4×C17—21no—
834C2×C4×C17—21no—
835C2×C4×C17—21no—
836C2×C4×C17—21no—
837C2×C4×C17—21no—
838C2×C4×C17—21no—
839C2×C4×C17—21no—
840C2×C4×C17—21no—
841C2×C4×C17—21no—
842C2×C4×C17—21no—
843C2×C4×C17—21no—
844C2×C4×C17—21no—
845C2×C4×C17—21no—
846C2×C4×C17—21no—
847C2×C4×C17—21no—
848C2×C4×C17—41no—
849C2×C4×C17—41no—
850C2×C4×C17—41no—
851C2×C4×C17—42no—
852C2×C4×C17—42no—
853C2×C4×C17—42no—
854C2×C4×C17—42no—
855C2×C4×C17—42no—
856C2×C4×C17—42no—
857C2×C4×C17—42no—
858C2×C4×C17—42no—
859C2×C4×C17—42no—
860C2×C4×C17—42no—
861C2×C4×C17—81no—
862C2×C4×C17—81no—
863C2×C4×C17—81no—
864C2×C4×C17—81no—
865C2×C4×C17—81no—
866C2×C4×C17—81no—
867C2×C4×C17C22×D411yescharacteristic
868C2×C4×C17C22×D411yescharacteristic
869C2×C4×C17C22×D411yescharacteristic
870C2×C4×C17C22×D411yescharacteristic
871C2×C4×C17C22×D411yescharacteristic
872C2×C4×C17C22×D411yescharacteristic
873C2×C4×C17C22×D411yescharacteristic
874C2×C4×C17C22×D411yescharacteristic
875C2×C4×C17C22×D411yescharacteristic
876C2×C4×C17C2511yescharacteristic
877C8×C17—21no—
878C8×C17—21no—
879C8×C17—21no—
880C8×C17—21no—
881C8×C17—21no—
882C8×C17—21no—
883C8×C17—21no—
884C8×C17—21no—
885#3542C2×C1711yescharacteristic, complemented
886#3487C2×C1711yescharacteristic, complemented
887#3332C2×C1711yescharacteristic, complemented
888#3327C2×C1711yescharacteristic, complemented
889#3321C2×C1711yescharacteristic, complemented
890#3317C2×C1711yescharacteristic, complemented
891#3309C2×C1711yescharacteristic, complemented
892#3308C2×C1711yescharacteristic, complemented
893#3305C2×C1711yescharacteristic, complemented
894#3301C2×C1711yescharacteristic, complemented
895#3287C2×C1711yescharacteristic, complemented
896#3282C2×C1711yescharacteristic, complemented
897#3275C2×C1711yescharacteristic, complemented
898#3274C2×C1711yescharacteristic, complemented
899#3271C2×C1711yescharacteristic, complemented
900#3268C2×C1711yescharacteristic, complemented
901#3268C2×C1711yescharacteristic, complemented
902#3265C2×C1711yescharacteristic, complemented
903#3224C2×C1711yescharacteristic, complemented
904#3220C2×C1711yescharacteristic, complemented
905#3199C2×C1711yescharacteristic, complemented
906#3198C2×C1711yescharacteristic, complemented
907#3197C2×C1711yescharacteristic, complemented
908#3188C2×C1711yescharacteristic, complemented
909#3126C2×C1711yescharacteristic, complemented
910#3121C2×C1711yescharacteristic, complemented
911#3013C2×C1711yescharacteristic, complemented
912#3010C2×C1711yescharacteristic, complemented
913#3006C2×C1711yescharacteristic, complemented
914#3002C2×C1711yescharacteristic, complemented
915#2976C2×C1711yescharacteristic, complemented
916C22×C17—21no—
917C22×C17—21no—
918C22×C17—21no—
919C22×C17—21no—
920C22×C17—21no—
921C22×C17—21no—
922C22×C17—21no—
923C22×C17—21no—
924C22×C17—21no—
925C22×C17—21no—
926C22×C17—21no—
927C22×C17—21no—
928C22×C17—21no—
929C22×C17—21no—
930C22×C17—21no—
931C22×C17—41no—
932C22×C17—41no—
933C22×C17—41no—
934C22×C17—41no—
935C22×C17—41no—
936C22×C17—41no—
937C22×C17—41no—
938C22×C17—41no—
939C22×C17—41no—
940C22×C17—41no—
941C22×C17—41no—
942C22×C17—41no—
943C22×C17—41no—
944C22×C17—41no—
945C22×C17—41no—
946C22×C17—41no—
947C22×C17—41no—
948C22×C17—41no—
949C22×C17—82no—
950C22×C17—84no—
951C22×C17—162no—
952C22×C17—162no—
953C22×C17C23×D411yescharacteristic
954C4×C17—21no—
955C4×C17—21no—
956C4×C17—21no—
957C4×C17—21no—
958C4×C17—22no—
959C4×C17—22no—
960C4×C17—21no—
961C4×C17—21no—
962C4×C17—21no—
963C4×C17—21no—
964C4×C17—21no—
965C4×C17—41no—
966C4×C17—41no—
967C4×C17—41no—
968C4×C17—41no—
969C4×C17—41no—
970C4×C17—41no—
971C4×C17—41no—
972C4×C17—41no—
973C4×C17C2×H(5,𝔽2)11yescharacteristic
974C4×C17C2×H(5,𝔽2)11yescharacteristic
975C2×2−1+4C22×C1711yescharacteristic, complemented
976C22×#41C22×C1711yescharacteristic, complemented
977C2×#137C22×C1711yescharacteristic, complemented
978C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
979C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
980C2×AGL(1,ℤ/8)C22×C1711yescharacteristic, complemented
981C2×#135C22×C1711yescharacteristic, complemented
982C2×#135C22×C1711yescharacteristic, complemented
983C2×#135C22×C1711yescharacteristic, complemented
984C22×SD16C22×C1711yescharacteristic, complemented
985#562—21no—
986#560—21no—
987#555C22×C1711yescharacteristic, complemented
988#553C22×C1711yescharacteristic, complemented
989#552C22×C1711yescharacteristic, complemented
990#551—21no—
991#550—21no—
992#550—21no—
993#550C22×C1711yescharacteristic
994#550C22×C1711yescharacteristic, complemented
995#550C22×C1711yescharacteristic, complemented
996#550C22×C1711yescharacteristic, complemented
997#550C22×C1711yescharacteristic, complemented
998#548—21no—
999#548—21no—
1000#548C22×C1711yescharacteristic
1001#548C22×C1711yescharacteristic, complemented
1002#548C22×C1711yescharacteristic, complemented
1003#548C22×C1711yescharacteristic, complemented
1004#547C22×C1711yescharacteristic, complemented
1005#546—21no—
1006#546C22×C1711yescharacteristic, complemented
1007#546C22×C1711yescharacteristic, complemented
1008D42C22×C1711yescharacteristic, complemented
1009#542C22×C1711yescharacteristic
1010#540—21no—
1011#540C22×C1711yescharacteristic
1012#538—21no—
1013#537C22×C1711yescharacteristic
1014#535—21no—
1015#535—21no—
1016#535—21no—
1017#535C22×C1711yescharacteristic
1018#535C22×C1711yescharacteristic, complemented
1019#535C22×C1711yescharacteristic, complemented
1020#534—21no—
1021#525—21no—
1022#525—21no—
1023#525C22×C1711yescharacteristic
1024#525C22×C1711yescharacteristic
1025#525C22×C1711yescharacteristic, complemented
1026C2×#121C22×C1711yescharacteristic
1027#519C22×C1711yescharacteristic, complemented
1028#496C22×C1711yescharacteristic, complemented
1029#496C22×C1711yescharacteristic, complemented
1030#495C22×C1711yescharacteristic, complemented
1031#493C22×C1711yescharacteristic, complemented
1032#490C22×C1711yescharacteristic, complemented
1033#489C22×C1711yescharacteristic, complemented
1034#488C22×C1711yescharacteristic, complemented
1035#486C22×C1711yescharacteristic, complemented
1036#485C22×C1711yescharacteristic, complemented
1037#485C22×C1711yescharacteristic, complemented
1038#484C22×C1711yescharacteristic, complemented
1039#482C22×C1711yescharacteristic
1040#482C22×C1711yescharacteristic, complemented
1041#482C22×C1711yescharacteristic, complemented
1042#482C22×C1711yescharacteristic, complemented
1043#482C22×C1711yescharacteristic, complemented
1044#482C22×C1711yescharacteristic, complemented
1045#481C22×C1711yescharacteristic, complemented
1046#481C22×C1711yescharacteristic, complemented
1047#480C22×C1711yescharacteristic, complemented
1048#479C22×C1711yescharacteristic, complemented
1049#479C22×C1711yescharacteristic, complemented
1050#477C22×C1711yescharacteristic, complemented
1051#475C22×C1711yescharacteristic, complemented
1052#470C22×C1711yescharacteristic, complemented
1053#469C22×C1711yescharacteristic, complemented
1054#469C22×C1711yescharacteristic, complemented
1055#469C22×C1711yescharacteristic, complemented
1056#469C22×C1711yescharacteristic, complemented
1057#468C22×C1711yescharacteristic, complemented
1058#468C22×C1711yescharacteristic, complemented
1059#468C22×C1711yescharacteristic, complemented
1060#466C22×C1711yescharacteristic, complemented
1061#466C22×C1711yescharacteristic, complemented
1062#466C22×C1711yescharacteristic, complemented
1063#466C22×C1711yescharacteristic, complemented
1064#466C22×C1711yescharacteristic, complemented
1065#465C22×C1711yescharacteristic, complemented
1066#465C22×C1711yescharacteristic, complemented
1067#465C22×C1711yescharacteristic, complemented
1068#464C22×C1711yescharacteristic, complemented
1069#464C22×C1711yescharacteristic, complemented
1070#464C22×C1711yescharacteristic, complemented
1071#463C22×C1711yescharacteristic, complemented
1072#463C22×C1711yescharacteristic, complemented
1073#463C22×C1711yescharacteristic, complemented
1074#460C22×C1711yescharacteristic, complemented
1075#460C22×C1711yescharacteristic, complemented
1076#460C22×C1711yescharacteristic, complemented
1077#459C22×C1711yescharacteristic, complemented
1078#459C22×C1711yescharacteristic, complemented
1079#459C22×C1711yescharacteristic, complemented
1080#452C22×C1711yescharacteristic, complemented
1081#452C22×C1711yescharacteristic, complemented
1082#452C22×C1711yescharacteristic, complemented
1083#452C22×C1711yescharacteristic, complemented
1084#452C22×C1711yescharacteristic, complemented
1085#451C22×C1711yescharacteristic, complemented
1086#451C22×C1711yescharacteristic, complemented
1087#450C22×C1711yescharacteristic, complemented
1088#450C22×C1711yescharacteristic, complemented
1089#449C22×C1711yescharacteristic
1090#449C22×C1711yescharacteristic
1091#449C22×C1711yescharacteristic
1092#449C22×C1711yescharacteristic
1093#449C22×C1711yescharacteristic
1094#449C22×C1711yescharacteristic, complemented
1095#449C22×C1711yescharacteristic, complemented
1096#449C22×C1711yescharacteristic, complemented
1097#449C22×C1711yescharacteristic, complemented
1098#449C22×C1711yescharacteristic, complemented
1099#449C22×C1711yescharacteristic, complemented
1100#449C22×C1711yescharacteristic, complemented
1101#449C22×C1711yescharacteristic, complemented
1102#449C22×C1711yescharacteristic, complemented
1103#449C22×C1711yescharacteristic, complemented
1104#448C22×C1711yescharacteristic
1105#448C22×C1711yescharacteristic, complemented
1106#448C22×C1711yescharacteristic, complemented
1107#448C22×C1711yescharacteristic, complemented
1108#448C22×C1711yescharacteristic, complemented
1109#448C22×C1711yescharacteristic, complemented
1110#447C22×C1711yescharacteristic
1111#447C22×C1711yescharacteristic, complemented
1112#447C22×C1711yescharacteristic, complemented
1113#447C22×C1711yescharacteristic, complemented
1114#447C22×C1711yescharacteristic, complemented
1115#447C22×C1711yescharacteristic, complemented
1116#441C22×C1711yescharacteristic, complemented
1117#440C22×C1711yescharacteristic, complemented
1118#440C22×C1711yescharacteristic, complemented
1119#440C22×C1711yescharacteristic, complemented
1120C4×Q16C22×C1711yescharacteristic, complemented
1121C4×SD16C22×C1711yescharacteristic, complemented
1122C4×SD16C22×C1711yescharacteristic, complemented
1123C4×SD16C22×C1711yescharacteristic, complemented
1124#436C22×C1711yescharacteristic, complemented
1125#436C22×C1711yescharacteristic, complemented
1126#435C22×C1711yescharacteristic, complemented
1127#435C22×C1711yescharacteristic, complemented
1128#435C22×C1711yescharacteristic, complemented
1129#435C22×C1711yescharacteristic, complemented
1130C8×D4C22×C1711yescharacteristic, complemented
1131C8×D4C22×C1711yescharacteristic, complemented
1132#433C22×C1711yescharacteristic, complemented
1133#433C22×C1711yescharacteristic, complemented
1134#419C22×C1711yescharacteristic, complemented
1135#417C22×C1711yescharacteristic, complemented
1136#417C22×C1711yescharacteristic, complemented
1137#417C22×C1711yescharacteristic, complemented
1138#416C22×C1711yescharacteristic, complemented
1139#416C22×C1711yescharacteristic, complemented
1140#416C22×C1711yescharacteristic, complemented
1141C2×#103C22×C1711yescharacteristic, complemented
1142#408C22×C1711yescharacteristic, complemented
1143#408C22×C1711yescharacteristic, complemented
1144#407C22×C1711yescharacteristic, complemented
1145C2×C22⋊C8C22×C1711yescharacteristic, complemented
1146C2×C17—41no—
1147C2×C17—41no—
1148C2×C17—41no—
1149C2×C17—41no—
1150C2×C17—41no—
1151C2×C17—81no—
1152C2×C17—81no—
1153C2×C17—81no—
1154C2×C17—81no—
1155C2×C17—81no—
1156C2×C17—81no—
1157C2×C17#348411yescharacteristic
1158C2×C17#358411yescharacteristic
1159C2×C17#358511yescharacteristic
11602−1+4—42no—
11612−1+4—42no—
1162C2×#41—21no—
1163C2×#41—21no—
1164C2×#41—21no—
1165C2×#41—21no—
1166C2×#41—21no—
1167C2×#41—21no—
1168C2×#41—42no—
1169C2×#41—42no—
1170C2×#41C23×C1711yescharacteristic
1171C2×#41C23×C1711yescharacteristic
1172C2×#41C23×C1711yescharacteristic
1173C2×#41C23×C1711yescharacteristic
1174C2×#41C23×C1711yescharacteristic
1175C2×#41C23×C1711yescharacteristic
1176C2×#41C23×C1711yescharacteristic
1177C2×#41C23×C1711yescharacteristic
1178C2×#41C23×C1711yescharacteristic
1179C2×#41C23×C1711yescharacteristic
1180C22×Q8—21no—
1181C22×Q8C23×C1711yescharacteristic
1182C22×Q8C23×C1711yescharacteristic
1183C22×Q8C23×C1711yescharacteristic
1184C22×D4—21no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4C23×C1711yescharacteristic
1188C22×D4C23×C1711yescharacteristic
1189C22×D4C23×C1711yescharacteristic
1190C23×C4—21no—
1191C23×C4C23×C1711yescharacteristic
1192#137—42no—
1193AGL(1,ℤ/8)—42no—
1194AGL(1,ℤ/8)—42no—
1195AGL(1,ℤ/8)—42no—
1196#135—42no—
1197#135—42no—
1198#135—42no—
1199C2×Q16C23×C1711yescharacteristic
1200C2×Q16C23×C1711yescharacteristic
1201C2×Q16C23×C1711yescharacteristic
1202C2×SD16—42no—
1203C2×SD16C23×C1711yescharacteristic
1204C2×SD16C23×C1711yescharacteristic
1205C2×SD16C23×C1711yescharacteristic
1206C2×SD16C23×C1711yescharacteristic
1207C2×SD16C23×C1711yescharacteristic
1208C2×SD16C23×C1711yescharacteristic
1209C2×SD16C23×C1711yescharacteristic
1210C2×SD16C23×C1711yescharacteristic
1211C2×SD16C23×C1711yescharacteristic
1212C2×SD16C23×C1711yescharacteristic
1213C2×SD16C23×C1711yescharacteristic
1214C2×SD16C23×C1711yescharacteristic
1215C2×D8C23×C1711yescharacteristic
1216C2×D8C23×C1711yescharacteristic
1217C2×D8C23×C1711yescharacteristic
1218C2×D8C23×C1711yescharacteristic
1219C2×D8C23×C1711yescharacteristic
1220C2×D8C23×C1711yescharacteristic
1221C2×D8C23×C1711yescharacteristic
1222C2×D8C23×C1711yescharacteristic
1223C2×D8C23×C1711yescharacteristic
1224C2×M16C23×C1711yescharacteristic
1225C2×M16C23×C1711yescharacteristic
1226C2×M16C23×C1711yescharacteristic
1227C2×M16C23×C1711yescharacteristic
1228C22×C8C23×C1711yescharacteristic
1229C22×C8C23×C1711yescharacteristic
1230C22×C8C23×C1711yescharacteristic
1231C22×C8C23×C1711yescharacteristic
1232C4⋊Q8C23×C1711yescharacteristic
1233#127—21no—
1234#127—21no—
1235#127—21no—
1236#127—21no—
1237#127—21no—
1238#127—21no—
1239#127—21no—
1240#127C23×C1711yescharacteristic
1241#127C23×C1711yescharacteristic
1242#127C23×C1711yescharacteristic
1243#126—21no—
1244#126—21no—
1245#126—21no—
1246#125—21no—
1247#125C23×C1711yescharacteristic
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124—21no—
1254#124—21no—
1255#124—21no—
1256#124—21no—
1257#124C23×C1711yescharacteristic
1258#124C23×C1711yescharacteristic
1259#124C23×C1711yescharacteristic
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123D4×C1711yescharacteristic
1272#123D4×C1711yescharacteristic
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8D4×C1711yescharacteristic
1281C22⋊Q8D4×C1711yescharacteristic
1282C22⋊Q8C23×C1711yescharacteristic
1283C22⋊Q8C23×C1711yescharacteristic
1284C22⋊Q8C23×C1711yescharacteristic
1285C22⋊Q8C23×C1711yescharacteristic
1286C22⋊Q8C23×C1711yescharacteristic
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#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121D4×C1711yescharacteristic
1316#121D4×C1711yescharacteristic
1317#121C23×C1711yescharacteristic
1318#121C23×C1711yescharacteristic
1319#121C23×C1711yescharacteristic
1320#121C23×C1711yescharacteristic
1321#121C23×C1711yescharacteristic
1322#121C23×C1711yescharacteristic
1323#121C23×C1711yescharacteristic
1324#121C23×C1711yescharacteristic
1325#121C23×C1711yescharacteristic
1326#121C23×C1711yescharacteristic
1327#121C23×C1711yescharacteristic
1328#121C23×C1711yescharacteristic
1329#121C23×C1711yescharacteristic
1330#121C23×C1711yescharacteristic
1331#121C23×C1711yescharacteristic
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120D4×C1711yescharacteristic
1345#120D4×C1711yescharacteristic
1346C4×Q8—21no—
1347C4×Q8—21no—
1348C4×Q8C23×C1711yescharacteristic
1349C4×Q8C23×C1711yescharacteristic
1350C4×Q8C23×C1711yescharacteristic
1351C4×Q8C23×C1711yescharacteristic
1352C4×Q8C23×C1711yescharacteristic
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—21no—
1362C4×D4—21no—
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4C23×C1711yescharacteristic
1368C4×D4C23×C1711yescharacteristic
1369C4×D4C23×C1711yescharacteristic
1370C4×D4C23×C1711yescharacteristic
1371C4×D4C23×C1711yescharacteristic
1372C4×D4C23×C1711yescharacteristic
1373C4×D4C23×C1711yescharacteristic
1374#117—21no—
1375#117—21no—
1376#117—21no—
1377#117—21no—
1378#117C23×C1711yescharacteristic
1379#117C23×C1711yescharacteristic
1380#117C23×C1711yescharacteristic
1381#117C23×C1711yescharacteristic
1382C2×C4⋊C4C23×C1711yescharacteristic
1383C2×C4⋊C4C23×C1711yescharacteristic
1384C2×C22⋊C4—21no—
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—21no—
1387#107C23×C1711yescharacteristic
1388#107C23×C1711yescharacteristic
1389#107C23×C1711yescharacteristic
1390#107C23×C1711yescharacteristic
1391#106C23×C1711yescharacteristic
1392#106C23×C1711yescharacteristic
1393#106C23×C1711yescharacteristic
1394#106C23×C1711yescharacteristic
1395C4⋊C8C23×C1711yescharacteristic
1396C4⋊C8C23×C1711yescharacteristic
1397C4⋊C8C23×C1711yescharacteristic
1398C4⋊C8C23×C1711yescharacteristic
1399#103C23×C1711yescharacteristic
1400#103C23×C1711yescharacteristic
1401#103C23×C1711yescharacteristic
1402#103C23×C1711yescharacteristic
1403#103C23×C1711yescharacteristic
1404#103C23×C1711yescharacteristic
1405#103C23×C1711yescharacteristic
1406#103C23×C1711yescharacteristic
1407#103C23×C1711yescharacteristic
1408#103C23×C1711yescharacteristic
1409#103C23×C1711yescharacteristic
1410#103C23×C1711yescharacteristic
1411#103C23×C1711yescharacteristic
1412#103C23×C1711yescharacteristic
1413#102C23×C1711yescharacteristic
1414#102C23×C1711yescharacteristic
1415#102C23×C1711yescharacteristic
1416#102C23×C1711yescharacteristic
1417#102C23×C1711yescharacteristic
1418#102C23×C1711yescharacteristic
1419#102C23×C1711yescharacteristic
1420#102C23×C1711yescharacteristic
1421#102C23×C1711yescharacteristic
1422#102C23×C1711yescharacteristic
1423#102C23×C1711yescharacteristic
1424#102C23×C1711yescharacteristic
1425#102C23×C1711yescharacteristic
1426#102C23×C1711yescharacteristic
1427#102C23×C1711yescharacteristic
1428#102C23×C1711yescharacteristic
1429#102C23×C1711yescharacteristic
1430#102C23×C1711yescharacteristic
1431C22⋊C8C23×C1711yescharacteristic
1432C22⋊C8C23×C1711yescharacteristic
1433C22⋊C8C23×C1711yescharacteristic
1434C22⋊C8C23×C1711yescharacteristic
1435C22⋊C8C23×C1711yescharacteristic
1436C22⋊C8C23×C1711yescharacteristic
1437C22⋊C8C23×C1711yescharacteristic
1438C22⋊C8C23×C1711yescharacteristic
1439C22⋊C8C23×C1711yescharacteristic
1440C22⋊C8C23×C1711yescharacteristic
1441C22⋊C8C23×C1711yescharacteristic
1442C22⋊C8C23×C1711yescharacteristic
1443#97C23×C1711yescharacteristic
1444#97C23×C1711yescharacteristic
1445C4×C8C23×C1711yescharacteristic
1446C4×C8C23×C1711yescharacteristic
1447C17#6161611yescharacteristic, direct product factor, Sylow
1448C24—21no—
1449C24—21no—
1450C24—21no—
1451C24C2×D4×C1711yescharacteristic
1452#41—22no—
1453#41—22no—
1454#41—22no—
1455#41—22no—
1456#41—22no—
1457#41—22no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—44no—
1469#41—44no—
1470#41—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—44no—
1475#41—44no—
1476#41—44no—
1477#41—82no—
1478C2×Q8—22no—
1479C2×Q8—22no—
1480C2×Q8—21no—
1481C2×Q8—21no—
1482C2×Q8—21no—
1483C2×Q8—21no—
1484C2×Q8—22no—
1485C2×Q8—22no—
1486C2×Q8—41no—
1487C2×Q8—41no—
1488C2×Q8—44no—
1489C2×Q8C2×D4×C1711yescharacteristic
1490C2×Q8C24×C1711yescharacteristic
1491C2×Q8C24×C1711yescharacteristic
1492C2×Q8C24×C1711yescharacteristic
1493C2×Q8C24×C1711yescharacteristic
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—44no—
1534C2×D4—82no—
1535C2×D4—82no—
1536C2×D4C2×D4×C1711yescharacteristic
1537C2×D4C2×D4×C1711yescharacteristic
1538C2×D4C2×D4×C1711yescharacteristic
1539C2×D4C2×D4×C1711yescharacteristic
1540C2×D4C2×D4×C1711yescharacteristic
1541C2×D4C2×D4×C1711yescharacteristic
1542C2×D4C2×D4×C1711yescharacteristic
1543C2×D4C24×C1711yescharacteristic
1544C2×D4C24×C1711yescharacteristic
1545C2×D4C24×C1711yescharacteristic
1546C2×D4C24×C1711yescharacteristic
1547C2×D4C24×C1711yescharacteristic
1548C2×D4C24×C1711yescharacteristic
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—41no—
1567C22×C4—41no—
1568C22×C4—44no—
1569C22×C4C2×D4×C1711yescharacteristic
1570C22×C4C2×D4×C1711yescharacteristic
1571C22×C4C2×D4×C1711yescharacteristic
1572C22×C4C24×C1711yescharacteristic
1573C22×C4C24×C1711yescharacteristic
1574C22×C4C24×C1711yescharacteristic
1575C22×C4C24×C1711yescharacteristic
1576C22×C4C24×C1711yescharacteristic
1577Q16—22no—
1578Q16—22no—
1579Q16—41no—
1580SD16—22no—
1581SD16—22no—
1582SD16—22no—
1583SD16—22no—
1584SD16—22no—
1585SD16—22no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—41no—
1591SD16—41no—
1592D8—41no—
1593D8—41no—
1594D8—41no—
1595D8—41no—
1596D8—41no—
1597D8—41no—
1598D8—41no—
1599D8—41no—
1600D8—41no—
1601M16—41no—
1602M16—41no—
1603M16—41no—
1604M16—41no—
1605C2×C8—41no—
1606C2×C8—41no—
1607C2×C8—41no—
1608C2×C8—41no—
1609C2×C8C24×C1711yescharacteristic
1610C2×C8C24×C1711yescharacteristic
1611C2×C8C24×C1711yescharacteristic
1612C2×C8C24×C1711yescharacteristic
1613C2×C8C24×C1711yescharacteristic
1614C2×C8C24×C1711yescharacteristic
1615C2×C8C24×C1711yescharacteristic
1616C2×C8C24×C1711yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4C2×D4×C1711yescharacteristic
1633C4⋊C4C2×D4×C1711yescharacteristic
1634C4⋊C4C2×D4×C1711yescharacteristic
1635C4⋊C4C2×D4×C1711yescharacteristic
1636C4⋊C4C2×D4×C1711yescharacteristic
1637C4⋊C4C2×D4×C1711yescharacteristic
1638C4⋊C4C24×C1711yescharacteristic
1639C4⋊C4C24×C1711yescharacteristic
1640C4⋊C4C24×C1711yescharacteristic
1641C4⋊C4C24×C1711yescharacteristic
1642C4⋊C4C24×C1711yescharacteristic
1643C4⋊C4C24×C1711yescharacteristic
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4C2×D4×C1711yescharacteristic
1677C22⋊C4C2×D4×C1711yescharacteristic
1678C22⋊C4C2×D4×C1711yescharacteristic
1679C22⋊C4C2×D4×C1711yescharacteristic
1680C22⋊C4C2×D4×C1711yescharacteristic
1681C22⋊C4C2×D4×C1711yescharacteristic
1682C22⋊C4C2×D4×C1711yescharacteristic
1683C22⋊C4C2×D4×C1711yescharacteristic
1684C22⋊C4C2×D4×C1711yescharacteristic
1685C22⋊C4C2×D4×C1711yescharacteristic
1686C42—21no—
1687C42—21no—
1688C42—21no—
1689C42—21no—
1690C42—21no—
1691C42—21no—
1692C42—21no—
1693C42—21no—
1694C42C24×C1711yescharacteristic
1695C42C24×C1711yescharacteristic
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—41no—
1703C23—41no—
1704C23—41no—
1705C23—42no—
1706C23—42no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—81no—
1711C23—81no—
1712C23—81no—
1713C23—81no—
1714C23C22×D4×C1711yescharacteristic
1715C23C22×D4×C1711yescharacteristic
1716C23C22×D4×C1711yescharacteristic
1717C23C22×D4×C1711yescharacteristic
1718C23C22×D4×C1711yescharacteristic
1719Q8—24no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—41no—
1727Q8—42no—
1728Q8—42no—
1729Q8—81no—
1730Q8C17×H(5,𝔽2)12yes—
1731Q8C17×H(5,𝔽2)12yes—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—81no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—42no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4C22×D4×C1711yescharacteristic
1825C2×C4C22×D4×C1711yescharacteristic
1826C2×C4C22×D4×C1711yescharacteristic
1827C2×C4C22×D4×C1711yescharacteristic
1828C2×C4C22×D4×C1711yescharacteristic
1829C2×C4C22×D4×C1711yescharacteristic
1830C2×C4C22×D4×C1711yescharacteristic
1831C2×C4C22×D4×C1711yescharacteristic
1832C2×C4C22×D4×C1711yescharacteristic
1833C2×C4C25×C1711yescharacteristic
1834C8—21no—
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—82no—
1876C22—84no—
1877C22—162no—
1878C22—162no—
1879C22C23×D4×C1711yescharacteristic
1880C4—22no—
1881C4—22no—
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4C2×C17×H(5,𝔽2)11yescharacteristic
1900C4C2×C17×H(5,𝔽2)11yescharacteristic
1901C2—41no—
1902C2—41no—
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—81no—
1907C2—81no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—81no—
1912C2C17×#348411yescharacteristic
1913C2C17×#358411yescharacteristic
1914C2C17×#358511yescharacteristic
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×#3542C2semidirect
2. C17×#3487C2semidirect
3. C17×#3332C2semidirect
4. C17×#3327C2semidirect
5. C17×#3321C2semidirect
6. C17×#3317C2semidirect
7. C17×#3309C2semidirect
8. C17×#3308C2semidirect
9. C17×#3305C2semidirect
10. C17×#3301C2semidirect
11. C17×#3287C2semidirect
12. C17×#3282C2semidirect
13. C17×#3275C2semidirect
14. C17×#3274C2semidirect
15. C17×#3271C2semidirect
16. C17×#3268C2semidirect
17. C17×#3268C2semidirect
18. C17×#3265C2semidirect
19. C17×#3224C2semidirect
20. C17×#3220C2semidirect
21. C17×#3199C2semidirect
22. C17×#3198C2semidirect
23. C17×#3197C2semidirect
24. C17×#3188C2semidirect
25. C17×#3126C2semidirect
26. C17×#3121C2semidirect
27. C17×#3013C2semidirect
28. C17×#3010C2semidirect
29. C17×#3006C2semidirect
30. C17×#3002C2semidirect
31. C17×#2976C2semidirect
32. C2×C17×2−1+4C22semidirect
33. C22×#41×C17C22semidirect
34. C2×C17×#137C22semidirect
37. C2×C17×AGL(1,ℤ/8)C22semidirect
38. C2×C17×#135C22semidirect
39. C2×C17×#135C22semidirect
40. C2×C17×#135C22semidirect
41. C22×SD16×C17C22semidirect
44. C17×#555C22semidirect
45. C17×#553C22semidirect
46. C17×#552C22semidirect
51. C17×#550C22semidirect
52. C17×#550C22semidirect
53. C17×#550C22semidirect
54. C17×#550C22semidirect
58. C17×#548C22semidirect
59. C17×#548C22semidirect
60. C17×#548C22semidirect
61. C17×#547C22semidirect
63. C17×#546C22semidirect
64. C17×#546C22semidirect
65. D42×C17C22semidirect
75. C17×#535C22semidirect
76. C17×#535C22semidirect
82. C17×#525C22semidirect
84. C17×#519C22semidirect
85. C17×#496C22semidirect
86. C17×#496C22semidirect
87. C17×#495C22semidirect
88. C17×#493C22semidirect
89. C17×#490C22semidirect
90. C17×#489C22semidirect
91. C17×#488C22semidirect
92. C17×#486C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#484C22semidirect
97. C17×#482C22semidirect
98. C17×#482C22semidirect
99. C17×#482C22semidirect
100. C17×#482C22semidirect
101. C17×#482C22semidirect
102. C17×#481C22semidirect
103. C17×#481C22semidirect
104. C17×#480C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
107. C17×#477C22semidirect
108. C17×#475C22semidirect
109. C17×#470C22semidirect
110. C17×#469C22semidirect
111. C17×#469C22semidirect
112. C17×#469C22semidirect
113. C17×#469C22semidirect
114. C17×#468C22semidirect
115. C17×#468C22semidirect
116. C17×#468C22semidirect
117. C17×#466C22semidirect
118. C17×#466C22semidirect
119. C17×#466C22semidirect
120. C17×#466C22semidirect
121. C17×#466C22semidirect
122. C17×#465C22semidirect
123. C17×#465C22semidirect
124. C17×#465C22semidirect
125. C17×#464C22semidirect
126. C17×#464C22semidirect
127. C17×#464C22semidirect
128. C17×#463C22semidirect
129. C17×#463C22semidirect
130. C17×#463C22semidirect
131. C17×#460C22semidirect
132. C17×#460C22semidirect
133. C17×#460C22semidirect
134. C17×#459C22semidirect
135. C17×#459C22semidirect
136. C17×#459C22semidirect
137. C17×#452C22semidirect
138. C17×#452C22semidirect
139. C17×#452C22semidirect
140. C17×#452C22semidirect
141. C17×#452C22semidirect
142. C17×#451C22semidirect
143. C17×#451C22semidirect
144. C17×#450C22semidirect
145. C17×#450C22semidirect
151. C17×#449C22semidirect
152. C17×#449C22semidirect
153. C17×#449C22semidirect
154. C17×#449C22semidirect
155. C17×#449C22semidirect
156. C17×#449C22semidirect
157. C17×#449C22semidirect
158. C17×#449C22semidirect
159. C17×#449C22semidirect
160. C17×#449C22semidirect
162. C17×#448C22semidirect
163. C17×#448C22semidirect
164. C17×#448C22semidirect
165. C17×#448C22semidirect
166. C17×#448C22semidirect
168. C17×#447C22semidirect
169. C17×#447C22semidirect
170. C17×#447C22semidirect
171. C17×#447C22semidirect
172. C17×#447C22semidirect
173. C17×#441C22semidirect
174. C17×#440C22semidirect
175. C17×#440C22semidirect
176. C17×#440C22semidirect
177. C4×Q16×C17C22semidirect
178. C4×SD16×C17C22semidirect
179. C4×SD16×C17C22semidirect
180. C4×SD16×C17C22semidirect
181. C17×#436C22semidirect
182. C17×#436C22semidirect
183. C17×#435C22semidirect
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×#417C22semidirect
193. C17×#417C22semidirect
194. C17×#417C22semidirect
195. C17×#416C22semidirect
196. C17×#416C22semidirect
197. C17×#416C22semidirect
198. C2×C17×#103C22semidirect
199. C17×#408C22semidirect
200. C17×#408C22semidirect
201. C17×#407C22semidirect
202. C2×C17×C22⋊C8C22semidirect
738. #61616C17direct (N × H)
885. #3542C2×C17semidirect
886. #3487C2×C17semidirect
887. #3332C2×C17semidirect
888. #3327C2×C17semidirect
889. #3321C2×C17semidirect
890. #3317C2×C17semidirect
891. #3309C2×C17semidirect
892. #3308C2×C17semidirect
893. #3305C2×C17semidirect
894. #3301C2×C17semidirect
895. #3287C2×C17semidirect
896. #3282C2×C17semidirect
897. #3275C2×C17semidirect
898. #3274C2×C17semidirect
899. #3271C2×C17semidirect
900. #3268C2×C17semidirect
901. #3268C2×C17semidirect
902. #3265C2×C17semidirect
903. #3224C2×C17semidirect
904. #3220C2×C17semidirect
905. #3199C2×C17semidirect
906. #3198C2×C17semidirect
907. #3197C2×C17semidirect
908. #3188C2×C17semidirect
909. #3126C2×C17semidirect
910. #3121C2×C17semidirect
911. #3013C2×C17semidirect
912. #3010C2×C17semidirect
913. #3006C2×C17semidirect
914. #3002C2×C17semidirect
915. #2976C2×C17semidirect
975. C2×2−1+4C22×C17semidirect
976. C22×#41C22×C17semidirect
977. C2×#137C22×C17semidirect
980. C2×AGL(1,ℤ/8)C22×C17semidirect
981. C2×#135C22×C17semidirect
982. C2×#135C22×C17semidirect
983. C2×#135C22×C17semidirect
984. C22×SD16C22×C17semidirect
987. #555C22×C17semidirect
988. #553C22×C17semidirect
989. #552C22×C17semidirect
994. #550C22×C17semidirect
995. #550C22×C17semidirect
996. #550C22×C17semidirect
997. #550C22×C17semidirect
1001. #548C22×C17semidirect
1002. #548C22×C17semidirect
1003. #548C22×C17semidirect
1004. #547C22×C17semidirect
1006. #546C22×C17semidirect
1007. #546C22×C17semidirect
1008. D42C22×C17semidirect
1018. #535C22×C17semidirect
1019. #535C22×C17semidirect
1025. #525C22×C17semidirect
1027. #519C22×C17semidirect
1028. #496C22×C17semidirect
1029. #496C22×C17semidirect
1030. #495C22×C17semidirect
1031. #493C22×C17semidirect
1032. #490C22×C17semidirect
1033. #489C22×C17semidirect
1034. #488C22×C17semidirect
1035. #486C22×C17semidirect
1036. #485C22×C17semidirect
1037. #485C22×C17semidirect
1038. #484C22×C17semidirect
1040. #482C22×C17semidirect
1041. #482C22×C17semidirect
1042. #482C22×C17semidirect
1043. #482C22×C17semidirect
1044. #482C22×C17semidirect
1045. #481C22×C17semidirect
1046. #481C22×C17semidirect
1047. #480C22×C17semidirect
1048. #479C22×C17semidirect
1049. #479C22×C17semidirect
1050. #477C22×C17semidirect
1051. #475C22×C17semidirect
1052. #470C22×C17semidirect
1053. #469C22×C17semidirect
1054. #469C22×C17semidirect
1055. #469C22×C17semidirect
1056. #469C22×C17semidirect
1057. #468C22×C17semidirect
1058. #468C22×C17semidirect
1059. #468C22×C17semidirect
1060. #466C22×C17semidirect
1061. #466C22×C17semidirect
1062. #466C22×C17semidirect
1063. #466C22×C17semidirect
1064. #466C22×C17semidirect
1065. #465C22×C17semidirect
1066. #465C22×C17semidirect
1067. #465C22×C17semidirect
1068. #464C22×C17semidirect
1069. #464C22×C17semidirect
1070. #464C22×C17semidirect
1071. #463C22×C17semidirect
1072. #463C22×C17semidirect
1073. #463C22×C17semidirect
1074. #460C22×C17semidirect
1075. #460C22×C17semidirect
1076. #460C22×C17semidirect
1077. #459C22×C17semidirect
1078. #459C22×C17semidirect
1079. #459C22×C17semidirect
1080. #452C22×C17semidirect
1081. #452C22×C17semidirect
1082. #452C22×C17semidirect
1083. #452C22×C17semidirect
1084. #452C22×C17semidirect
1085. #451C22×C17semidirect
1086. #451C22×C17semidirect
1087. #450C22×C17semidirect
1088. #450C22×C17semidirect
1094. #449C22×C17semidirect
1095. #449C22×C17semidirect
1096. #449C22×C17semidirect
1097. #449C22×C17semidirect
1098. #449C22×C17semidirect
1099. #449C22×C17semidirect
1100. #449C22×C17semidirect
1101. #449C22×C17semidirect
1102. #449C22×C17semidirect
1103. #449C22×C17semidirect
1105. #448C22×C17semidirect
1106. #448C22×C17semidirect
1107. #448C22×C17semidirect
1108. #448C22×C17semidirect
1109. #448C22×C17semidirect
1111. #447C22×C17semidirect
1112. #447C22×C17semidirect
1113. #447C22×C17semidirect
1114. #447C22×C17semidirect
1115. #447C22×C17semidirect
1116. #441C22×C17semidirect
1117. #440C22×C17semidirect
1118. #440C22×C17semidirect
1119. #440C22×C17semidirect
1120. C4×Q16C22×C17semidirect
1121. C4×SD16C22×C17semidirect
1122. C4×SD16C22×C17semidirect
1123. C4×SD16C22×C17semidirect
1124. #436C22×C17semidirect
1125. #436C22×C17semidirect
1126. #435C22×C17semidirect
1127. #435C22×C17semidirect
1128. #435C22×C17semidirect
1129. #435C22×C17semidirect
1130. C8×D4C22×C17semidirect
1131. C8×D4C22×C17semidirect
1132. #433C22×C17semidirect
1133. #433C22×C17semidirect
1134. #419C22×C17semidirect
1135. #417C22×C17semidirect
1136. #417C22×C17semidirect
1137. #417C22×C17semidirect
1138. #416C22×C17semidirect
1139. #416C22×C17semidirect
1140. #416C22×C17semidirect
1141. C2×#103C22×C17semidirect
1142. #408C22×C17semidirect
1143. #408C22×C17semidirect
1144. #407C22×C17semidirect
1145. C2×C22⋊C8C22×C17semidirect
1447. C17#61616direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#35422
C17×#34872
C17×#33322
C17×#33272
C17×#33212
C17×#33172
C17×#33092
C17×#33082
C17×#33052
C17×#33012
C17×#32872
C17×#32822
C17×#32752
C17×#32742
C17×#32712
C17×#32682
C17×#32652
C17×#32242
C17×#32202
C17×#31992
C17×#31982
C17×#31972
C17×#31882
C17×#31262
C17×#31212
C17×#30132
C17×#30102
C17×#30062
C17×#30022
C17×#29762
#6161617