Finite Group Databasebeta

← C17×#61579 #16919323

Subgroups — C17×#61579 #16919323

Order 4352.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3519C211yesmaximal, characteristic, complemented
2D4×#41×C17C211yesmaximal, characteristic, complemented
3C17×#3321C211yesmaximal, characteristic, complemented
4C17×#3320C211yesmaximal, characteristic, complemented
5C17×#3319C211yesmaximal, characteristic, complemented
6C17×#3318C211yesmaximal, characteristic, complemented
7C17×#3316C211yesmaximal, characteristic, complemented
8C17×#3314C211yesmaximal, characteristic, complemented
9C17×#3309C211yesmaximal, characteristic, complemented
10C17×#3307C211yesmaximal, characteristic, complemented
11C17×#3271C211yesmaximal, characteristic, complemented
12C17×#3268C211yesmaximal, characteristic, complemented
13C17×#3268C211yesmaximal, characteristic, complemented
14C17×#3267C211yesmaximal, characteristic, complemented
15C17×#3266C211yesmaximal, characteristic, complemented
16C17×#3265C211yesmaximal, characteristic, complemented
17C17×#3264C211yesmaximal, characteristic, complemented
18C17×#3264C211yesmaximal, characteristic, complemented
19C17×#3219C211yesmaximal, characteristic, complemented
20C17×#3214C211yesmaximal, characteristic, complemented
21C17×#3197C211yesmaximal, characteristic, complemented
22C17×#3194C211yesmaximal, characteristic, complemented
23C17×#3191C211yesmaximal, characteristic, complemented
24C17×#3188C211yesmaximal, characteristic, complemented
25C17×#3115C211yesmaximal, characteristic, complemented
26C17×#3111C211yesmaximal, characteristic, complemented
27C17×#3006C211yesmaximal, characteristic, complemented
28C17×#3005C211yesmaximal, characteristic, complemented
29C17×#3002C211yesmaximal, characteristic, complemented
30C2×C17×#449C211yesmaximal, characteristic, complemented
31C17×#2973C211yesmaximal, characteristic, complemented
32C22×#41×C17C2211yescharacteristic, complemented
33C22×#41×C17C2211yescharacteristic, complemented
34C2×C17×#137C2211yescharacteristic, complemented
35C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C17×#135C2211yescharacteristic, complemented
39C2×C17×#135C2211yescharacteristic, complemented
40C22×SD16×C17C2211yescharacteristic, complemented
41C22×D8×C17C2211yescharacteristic, complemented
42C17×#555C2211yescharacteristic, complemented
43C17×#554C2211yescharacteristic, complemented
44C17×#553—21no—
45C17×#553C2211yescharacteristic
46C17×#553C2211yescharacteristic, complemented
47C17×#550C2211yescharacteristic, complemented
48C17×#550C2211yescharacteristic, complemented
49D4×Q8×C17C2211yescharacteristic, complemented
50C17×#548C2211yescharacteristic
51C17×#548C2211yescharacteristic, complemented
52C17×#547—21no—
53C17×#547C2211yescharacteristic, complemented
54C17×#546—21no—
55C17×#546—21no—
56C17×#546—21no—
57C17×#546—21no—
58C17×#546C2211yescharacteristic
59C17×#546C2211yescharacteristic
60C17×#546C2211yescharacteristic, complemented
61C17×#546C2211yescharacteristic, complemented
62D42×C17—21no—
63D42×C17—21no—
64D42×C17C2211yescharacteristic, complemented
65D42×C17C2211yescharacteristic, complemented
66C17×#540—21no—
67C17×#538—21no—
68C17×#538—21no—
69C17×#532—21no—
70C17×#532C2211yescharacteristic, complemented
71C17×#532C2211yescharacteristic, complemented
72C17×#529C2211yescharacteristic, complemented
73C17×#525—21no—
74C17×#525—21no—
75C17×#525C2211yescharacteristic, complemented
76C17×#525C2211yescharacteristic, complemented
77C17×#525C2211yescharacteristic, complemented
78C17×#525C2211yescharacteristic, complemented
79C2×C17×#121C2211yescharacteristic, complemented
80C2×C17×#121C2211yescharacteristic, complemented
81C17×#518—21no—
82C4×#41×C17C2211yescharacteristic, complemented
83C2×C4×D4×C17—21no—
84C2×C4×D4×C17C2211yescharacteristic
85C17×#497C2211yescharacteristic, complemented
86C17×#496C2211yescharacteristic, complemented
87C17×#496C2211yescharacteristic, complemented
88C17×#496C2211yescharacteristic, complemented
89C17×#491C2211yescharacteristic, complemented
90C17×#490C2211yescharacteristic, complemented
91C17×#489C2211yescharacteristic, complemented
92C17×#489C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#485C2211yescharacteristic, complemented
96C17×#484C2211yescharacteristic, complemented
97C17×#483C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic, complemented
99C17×#482C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic, complemented
101C17×#482C2211yescharacteristic, complemented
102C17×#482C2211yescharacteristic, complemented
103C17×#481C2211yescharacteristic, complemented
104C17×#480C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic, complemented
107C17×#475C2211yescharacteristic, complemented
108C17×#474C2211yescharacteristic, complemented
109C17×#470C2211yescharacteristic, complemented
110C17×#469C2211yescharacteristic, complemented
111C17×#469C2211yescharacteristic, complemented
112C17×#469C2211yescharacteristic, complemented
113C17×#468C2211yescharacteristic, complemented
114C17×#468C2211yescharacteristic, complemented
115C17×#468C2211yescharacteristic, complemented
116C17×#468C2211yescharacteristic, complemented
117C17×#467C2211yescharacteristic, complemented
118C17×#466C2211yescharacteristic, complemented
119C17×#466C2211yescharacteristic, 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×#463C2211yescharacteristic, complemented
129C17×#463C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic, complemented
131C17×#461C2211yescharacteristic, complemented
132C17×#461C2211yescharacteristic, 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×#452C2211yescharacteristic, complemented
143C17×#452C2211yescharacteristic, complemented
144C17×#451C2211yescharacteristic, complemented
145C17×#450C2211yescharacteristic, complemented
146C17×#450C2211yescharacteristic, complemented
147C17×#450C2211yescharacteristic, complemented
148C17×#449C2211yescharacteristic
149C17×#449C2211yescharacteristic, complemented
150C17×#449C2211yescharacteristic, complemented
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×#449C2211yescharacteristic, complemented
162C17×#449C2211yescharacteristic, complemented
163C17×#449C2211yescharacteristic, complemented
164C17×#449C2211yescharacteristic, complemented
165C17×#448C2211yescharacteristic, complemented
166C17×#448C2211yescharacteristic, complemented
167C17×#448C2211yescharacteristic, complemented
168C17×#447C2211yescharacteristic, complemented
169C17×#447C2211yescharacteristic, complemented
170C17×#447C2211yescharacteristic, complemented
171C17×#447C2211yescharacteristic, complemented
172C17×#447C2211yescharacteristic, complemented
173C17×#442C2211yescharacteristic, complemented
174C17×#442C2211yescharacteristic, complemented
175C17×#442C2211yescharacteristic, complemented
176C17×#441C2211yescharacteristic, complemented
177C17×#440C2211yescharacteristic, complemented
178C17×#440C2211yescharacteristic, complemented
179C17×#440C2211yescharacteristic, complemented
180C17×#440C2211yescharacteristic, complemented
181C17×#435C2211yescharacteristic, complemented
182C17×#435C2211yescharacteristic, complemented
183C17×#435C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C17×#435C2211yescharacteristic, complemented
187C17×#435C2211yescharacteristic, complemented
188C17×#435C2211yescharacteristic, complemented
189C17×#432C2211yescharacteristic, complemented
190C17×#432C2211yescharacteristic, complemented
191C17×#419C2211yescharacteristic, complemented
192C17×#418C2211yescharacteristic, complemented
193C17×#417C2211yescharacteristic, complemented
194C17×#417C2211yescharacteristic, complemented
195C17×#416C2211yescharacteristic, complemented
196C17×#416C2211yescharacteristic, complemented
197C2×C17×#103C2211yescharacteristic, complemented
198C2×C17×#102C2211yescharacteristic, complemented
199C17×#407C2211yescharacteristic, complemented
200C17×#407C2211yescharacteristic, complemented
201C2×C17×C22⋊C8C2211yescharacteristic, complemented
202C2×C17×C22⋊C8C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17—21no—
205C2×#41×C17—21no—
206C2×#41×C17—21no—
207C2×#41×C17—21no—
208C2×#41×C17—42no—
209C2×#41×C17—42no—
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×C17C2311yescharacteristic
222C22×Q8×C17C2311yescharacteristic
223C22×D4×C17—21no—
224C22×D4×C17—21no—
225C22×D4×C17—21no—
226C22×D4×C17—21no—
227C22×D4×C17—21no—
228C22×D4×C17—21no—
229C22×D4×C17D411yescharacteristic
230C22×D4×C17C2311yescharacteristic
231C22×D4×C17C2311yescharacteristic
232C22×D4×C17C2311yescharacteristic
233C22×D4×C17C2311yescharacteristic
234C23×C4×C17—21no—
235C23×C4×C17—21no—
236C23×C4×C17C2311yescharacteristic
237C23×C4×C17C2311yescharacteristic
238C17×#137—42no—
239C17×AGL(1,ℤ/8)—42no—
240C17×AGL(1,ℤ/8)—42no—
241C17×AGL(1,ℤ/8)—42no—
242C17×#135—42no—
243C17×#135—42no—
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×C17—42no—
261C2×D8×C17C2311yescharacteristic
262C2×D8×C17C2311yescharacteristic
263C2×D8×C17C2311yescharacteristic
264C2×D8×C17C2311yescharacteristic
265C2×D8×C17C2311yescharacteristic
266C2×D8×C17C2311yescharacteristic
267C2×D8×C17C2311yescharacteristic
268C2×D8×C17C2311yescharacteristic
269C2×D8×C17C2311yescharacteristic
270C2×M16×C17C2311yescharacteristic
271C2×M16×C17C2311yescharacteristic
272C2×M16×C17C2311yescharacteristic
273C2×M16×C17C2311yescharacteristic
274C22×C8×C17C2311yescharacteristic
275C22×C8×C17C2311yescharacteristic
276C22×C8×C17C2311yescharacteristic
277C22×C8×C17C2311yescharacteristic
278C17×C4⋊Q8—21no—
279C17×C4⋊Q8C2311yescharacteristic
280C17×C4⋊Q8C2311yescharacteristic
281C17×#127—21no—
282C17×#127—21no—
283C17×#127C2311yescharacteristic
284C17×#127C2311yescharacteristic
285C17×#126—21no—
286C17×#126—21no—
287C17×#126—21no—
288C17×#125—21no—
289C17×#125C2311yescharacteristic
290C17×#124—21no—
291C17×#124—21no—
292C17×#124—21no—
293C17×#124—21no—
294C17×#124—21no—
295C17×#124C2311yescharacteristic
296C17×#124C2311yescharacteristic
297C17×#124C2311yescharacteristic
298C17×#123—21no—
299C17×#123—21no—
300C17×#123—21no—
301C17×#123—21no—
302C17×#123—21no—
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×C22⋊Q8—21no—
312C17×C22⋊Q8—21no—
313C17×C22⋊Q8—21no—
314C17×C22⋊Q8—21no—
315C17×C22⋊Q8—21no—
316C17×C22⋊Q8—21no—
317C17×C22⋊Q8C2311yescharacteristic
318C17×C22⋊Q8C2311yescharacteristic
319C17×C22⋊Q8C2311yescharacteristic
320C17×C22⋊Q8C2311yescharacteristic
321C17×C22⋊Q8C2311yescharacteristic
322C17×C22⋊Q8C2311yescharacteristic
323C17×C22⋊Q8C2311yescharacteristic
324C17×#121—21no—
325C17×#121—21no—
326C17×#121—21no—
327C17×#121—21no—
328C17×#121—21no—
329C17×#121—21no—
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×#121C2311yescharacteristic
348C17×#121C2311yescharacteristic
349C17×#121C2311yescharacteristic
350C17×#121C2311yescharacteristic
351C17×#121C2311yescharacteristic
352C17×#121C2311yescharacteristic
353C17×#121C2311yescharacteristic
354C17×#121C2311yescharacteristic
355C17×#121C2311yescharacteristic
356C17×#121C2311yescharacteristic
357C17×#121C2311yescharacteristic
358C17×#121C2311yescharacteristic
359C17×#121C2311yescharacteristic
360C17×#120—21no—
361C17×#120—21no—
362C17×#120—21no—
363C17×#120—21no—
364C17×#120—21no—
365C17×#120—21no—
366C17×#120—21no—
367C17×#120—21no—
368C17×#120—21no—
369C17×#120—21no—
370C17×#120—21no—
371C17×#120—21no—
372C4×Q8×C17C2311yescharacteristic
373C4×Q8×C17C2311yescharacteristic
374C4×Q8×C17C2311yescharacteristic
375C4×D4×C17—21no—
376C4×D4×C17—21no—
377C4×D4×C17—21no—
378C4×D4×C17—21no—
379C4×D4×C17—21no—
380C4×D4×C17—21no—
381C4×D4×C17—21no—
382C4×D4×C17—21no—
383C4×D4×C17—21no—
384C4×D4×C17—21no—
385C4×D4×C17—21no—
386C4×D4×C17—21no—
387C4×D4×C17—21no—
388C4×D4×C17—21no—
389C4×D4×C17—21no—
390C4×D4×C17—21no—
391C4×D4×C17—21no—
392C4×D4×C17—21no—
393C4×D4×C17—21no—
394C4×D4×C17—21no—
395C4×D4×C17—21no—
396C4×D4×C17—21no—
397C4×D4×C17D411yescharacteristic
398C4×D4×C17D411yescharacteristic
399C4×D4×C17D411yescharacteristic
400C4×D4×C17D411yescharacteristic
401C4×D4×C17C2311yescharacteristic
402C4×D4×C17C2311yescharacteristic
403C4×D4×C17C2311yescharacteristic
404C4×D4×C17C2311yescharacteristic
405C4×D4×C17C2311yescharacteristic
406C4×D4×C17C2311yescharacteristic
407C4×D4×C17C2311yescharacteristic
408C4×D4×C17C2311yescharacteristic
409C4×D4×C17C2311yescharacteristic
410C17×#117—21no—
411C17×#117—21no—
412C17×#117—21no—
413C17×#117C2311yescharacteristic
414C17×#117C2311yescharacteristic
415C17×#117C2311yescharacteristic
416C2×C4⋊C4×C17—21no—
417C2×C4⋊C4×C17D411yescharacteristic
418C2×C4⋊C4×C17C2311yescharacteristic
419C2×C4⋊C4×C17C2311yescharacteristic
420C2×C22⋊C4×C17—21no—
421C2×C22⋊C4×C17—21no—
422C2×C22⋊C4×C17—21no—
423C2×C22⋊C4×C17—21no—
424C2×C22⋊C4×C17—21no—
425C2×C22⋊C4×C17—21no—
426C2×C22⋊C4×C17D411yescharacteristic
427C2×C22⋊C4×C17D411yescharacteristic
428C2×C42×C17—21no—
429C2×C42×C17C2311yescharacteristic
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
488C17×#97C2311yescharacteristic
489C17×#97C2311yescharacteristic
490C24×C17—21no—
491C24×C17—21no—
492C24×C17—21no—
493C24×C17—21no—
494C24×C17C2×D411yescharacteristic
495C24×C17C2×D411yescharacteristic
496#41×C17—22no—
497#41×C17—22no—
498#41×C17—22no—
499#41×C17—22no—
500#41×C17—22no—
501#41×C17—22no—
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—82no—
519C2×Q8×C17—21no—
520C2×Q8×C17—21no—
521C2×Q8×C17—21no—
522C2×Q8×C17—22no—
523C2×Q8×C17—22no—
524C2×Q8×C17—41no—
525C2×Q8×C17—41no—
526C2×Q8×C17C2411yescharacteristic
527C2×Q8×C17C2411yescharacteristic
528C2×Q8×C17C2411yescharacteristic
529C2×Q8×C17C2411yescharacteristic
530C2×D4×C17—21no—
531C2×D4×C17—22no—
532C2×D4×C17—22no—
533C2×D4×C17—21no—
534C2×D4×C17—21no—
535C2×D4×C17—21no—
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—41no—
563C2×D4×C17—41no—
564C2×D4×C17—41no—
565C2×D4×C17—41no—
566C2×D4×C17—41no—
567C2×D4×C17—41no—
568C2×D4×C17—42no—
569C2×D4×C17—44no—
570C2×D4×C17—44no—
571C2×D4×C17—44no—
572C2×D4×C17—44no—
573C2×D4×C17—82no—
574C2×D4×C17—82no—
575C2×D4×C17C2×D411yescharacteristic
576C2×D4×C17C2×D411yescharacteristic
577C2×D4×C17C2×D411yescharacteristic
578C2×D4×C17C2×D411yescharacteristic
579C2×D4×C17C2411yescharacteristic
580C2×D4×C17C2411yescharacteristic
581C2×D4×C17C2411yescharacteristic
582C2×D4×C17C2411yescharacteristic
583C2×D4×C17C2411yescharacteristic
584C2×D4×C17C2411yescharacteristic
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—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—41no—
604C22×C4×C17—41no—
605C22×C4×C17—41no—
606C22×C4×C17—41no—
607C22×C4×C17—44no—
608C22×C4×C17—44no—
609C22×C4×C17C2×D411yescharacteristic
610C22×C4×C17C2×D411yescharacteristic
611C22×C4×C17C2×D411yescharacteristic
612C22×C4×C17C2×D411yescharacteristic
613C22×C4×C17C2×D411yescharacteristic
614C22×C4×C17C2×D411yescharacteristic
615C22×C4×C17C2×D411yescharacteristic
616C22×C4×C17C2×D411yescharacteristic
617C22×C4×C17C2411yescharacteristic
618C22×C4×C17C2411yescharacteristic
619C22×C4×C17C2411yescharacteristic
620C22×C4×C17C2411yescharacteristic
621C22×C4×C17C2411yescharacteristic
622Q16×C17—22no—
623Q16×C17—41no—
624Q16×C17—41no—
625SD16×C17—22no—
626SD16×C17—22no—
627SD16×C17—22no—
628SD16×C17—22no—
629SD16×C17—41no—
630SD16×C17—41no—
631SD16×C17—41no—
632SD16×C17—41no—
633SD16×C17—41no—
634SD16×C17—41no—
635SD16×C17—41no—
636SD16×C17—41no—
637D8×C17—22no—
638D8×C17—22no—
639D8×C17—22no—
640D8×C17—41no—
641D8×C17—41no—
642D8×C17—41no—
643D8×C17—41no—
644D8×C17—41no—
645D8×C17—41no—
646M16×C17—41no—
647M16×C17—41no—
648M16×C17—41no—
649M16×C17—41no—
650C2×C8×C17—41no—
651C2×C8×C17—41no—
652C2×C8×C17—41no—
653C2×C8×C17—41no—
654C2×C8×C17C2411yescharacteristic
655C2×C8×C17C2411yescharacteristic
656C2×C8×C17C2411yescharacteristic
657C2×C8×C17C2411yescharacteristic
658C2×C8×C17C2411yescharacteristic
659C2×C8×C17C2411yescharacteristic
660C2×C8×C17C2411yescharacteristic
661C2×C8×C17C2411yescharacteristic
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×C17—21no—
675C4⋊C4×C17—21no—
676C4⋊C4×C17—21no—
677C4⋊C4×C17—21no—
678C4⋊C4×C17—21no—
679C4⋊C4×C17C2×D411yescharacteristic
680C4⋊C4×C17C2×D411yescharacteristic
681C4⋊C4×C17C2×D411yescharacteristic
682C4⋊C4×C17C2×D411yescharacteristic
683C4⋊C4×C17C2411yescharacteristic
684C4⋊C4×C17C2411yescharacteristic
685C4⋊C4×C17C2411yescharacteristic
686C4⋊C4×C17C2411yescharacteristic
687C4⋊C4×C17C2411yescharacteristic
688C4⋊C4×C17C2411yescharacteristic
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×C17—21no—
719C22⋊C4×C17—21no—
720C22⋊C4×C17—21no—
721C22⋊C4×C17—21no—
722C22⋊C4×C17—21no—
723C22⋊C4×C17C2×D411yescharacteristic
724C22⋊C4×C17C2×D411yescharacteristic
725C22⋊C4×C17C2×D411yescharacteristic
726C22⋊C4×C17C2×D411yescharacteristic
727C22⋊C4×C17C2×D411yescharacteristic
728C22⋊C4×C17C2×D411yescharacteristic
729C22⋊C4×C17C2×D411yescharacteristic
730C22⋊C4×C17C2×D411yescharacteristic
731C42×C17—21no—
732C42×C17—21no—
733C42×C17—21no—
734C42×C17—21no—
735C42×C17—21no—
736C42×C17—21no—
737C42×C17C2×D411yescharacteristic
738C42×C17C2×D411yescharacteristic
739C42×C17C2411yescharacteristic
740C42×C17C2411yescharacteristic
741#61579C1711yesmaximal, characteristic, direct product factor, Sylow
742C23×C17—21no—
743C23×C17—22no—
744C23×C17—21no—
745C23×C17—21no—
746C23×C17—21no—
747C23×C17—21no—
748C23×C17—21no—
749C23×C17—41no—
750C23×C17—41no—
751C23×C17—41no—
752C23×C17—41no—
753C23×C17—41no—
754C23×C17—42no—
755C23×C17—42no—
756C23×C17—42no—
757C23×C17—42no—
758C23×C17—42no—
759C23×C17—42no—
760C23×C17—81no—
761C23×C17—81no—
762C23×C17—81no—
763C23×C17—81no—
764C23×C17—81no—
765C23×C17—81no—
766C23×C17C22×D411yescharacteristic
767C23×C17C22×D411yescharacteristic
768C23×C17C22×D411yescharacteristic
769C23×C17C22×D411yescharacteristic
770C23×C17C22×D411yescharacteristic
771Q8×C17—21no—
772Q8×C17—21no—
773Q8×C17—21no—
774Q8×C17—21no—
775Q8×C17—21no—
776Q8×C17—21no—
777Q8×C17—21no—
778Q8×C17—42no—
779Q8×C17—42no—
780Q8×C17—81no—
781Q8×C17H(5,𝔽2)12yes—
782D4×C17—24no—
783D4×C17—22no—
784D4×C17—22no—
785D4×C17—21no—
786D4×C17—21no—
787D4×C17—21no—
788D4×C17—21no—
789D4×C17—21no—
790D4×C17—21no—
791D4×C17—21no—
792D4×C17—21no—
793D4×C17—21no—
794D4×C17—21no—
795D4×C17—21no—
796D4×C17—41no—
797D4×C17—41no—
798D4×C17—42no—
799D4×C17—42no—
800D4×C17—42no—
801D4×C17—42no—
802D4×C17—42no—
803D4×C17—42no—
804D4×C17—42no—
805D4×C17—42no—
806D4×C17—42no—
807D4×C17—42no—
808D4×C17—42no—
809D4×C17—42no—
810D4×C17—42no—
811D4×C17—42no—
812D4×C17—42no—
813D4×C17—42no—
814D4×C17—42no—
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—
827D4×C17H(5,𝔽2)12yes—
828C2×C4×C17—24no—
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—21no—
849C2×C4×C17—41no—
850C2×C4×C17—41no—
851C2×C4×C17—41no—
852C2×C4×C17—41no—
853C2×C4×C17—41no—
854C2×C4×C17—41no—
855C2×C4×C17—41no—
856C2×C4×C17—41no—
857C2×C4×C17—42no—
858C2×C4×C17—42no—
859C2×C4×C17—42no—
860C2×C4×C17—42no—
861C2×C4×C17—42no—
862C2×C4×C17—42no—
863C2×C4×C17—42no—
864C2×C4×C17—42no—
865C2×C4×C17—42no—
866C2×C4×C17—42no—
867C2×C4×C17—81no—
868C2×C4×C17—81no—
869C2×C4×C17—81no—
870C2×C4×C17—81no—
871C2×C4×C17—81no—
872C2×C4×C17—81no—
873C2×C4×C17—81no—
874C2×C4×C17C22×D411yescharacteristic
875C2×C4×C17C22×D411yescharacteristic
876C2×C4×C17C22×D411yescharacteristic
877C2×C4×C17C22×D411yescharacteristic
878C2×C4×C17C22×D411yescharacteristic
879C2×C4×C17C22×D411yescharacteristic
880C2×C4×C17C22×D411yescharacteristic
881C2×C4×C17C22×D411yescharacteristic
882C2×C4×C17C22×D411yescharacteristic
883C2×C4×C17C2511yescharacteristic
884C8×C17—21no—
885C8×C17—21no—
886C8×C17—21no—
887C8×C17—21no—
888C8×C17—21no—
889C8×C17—21no—
890C8×C17—21no—
891C8×C17—21no—
892#3519C2×C1711yescharacteristic, complemented
893D4×#41C2×C1711yescharacteristic, complemented
894#3321C2×C1711yescharacteristic, complemented
895#3320C2×C1711yescharacteristic, complemented
896#3319C2×C1711yescharacteristic, complemented
897#3318C2×C1711yescharacteristic, complemented
898#3316C2×C1711yescharacteristic, complemented
899#3314C2×C1711yescharacteristic, complemented
900#3309C2×C1711yescharacteristic, complemented
901#3307C2×C1711yescharacteristic, complemented
902#3271C2×C1711yescharacteristic, complemented
903#3268C2×C1711yescharacteristic, complemented
904#3268C2×C1711yescharacteristic, complemented
905#3267C2×C1711yescharacteristic, complemented
906#3266C2×C1711yescharacteristic, complemented
907#3265C2×C1711yescharacteristic, complemented
908#3264C2×C1711yescharacteristic, complemented
909#3264C2×C1711yescharacteristic, complemented
910#3219C2×C1711yescharacteristic, complemented
911#3214C2×C1711yescharacteristic, complemented
912#3197C2×C1711yescharacteristic, complemented
913#3194C2×C1711yescharacteristic, complemented
914#3191C2×C1711yescharacteristic, complemented
915#3188C2×C1711yescharacteristic, complemented
916#3115C2×C1711yescharacteristic, complemented
917#3111C2×C1711yescharacteristic, complemented
918#3006C2×C1711yescharacteristic, complemented
919#3005C2×C1711yescharacteristic, complemented
920#3002C2×C1711yescharacteristic, complemented
921C2×#449C2×C1711yescharacteristic, complemented
922#2973C2×C1711yescharacteristic, complemented
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—22no—
932C22×C17—21no—
933C22×C17—21no—
934C22×C17—21no—
935C22×C17—21no—
936C22×C17—21no—
937C22×C17—21no—
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—41no—
950C22×C17—41no—
951C22×C17—41no—
952C22×C17—41no—
953C22×C17—41no—
954C22×C17—41no—
955C22×C17—82no—
956C22×C17—84no—
957C22×C17—82no—
958C22×C17—84no—
959C22×C17—162no—
960C22×C17—162no—
961C22×C17#57512yes—
962C22×C17C23×D411yescharacteristic
963C4×C17—21no—
964C4×C17—21no—
965C4×C17—21no—
966C4×C17—22no—
967C4×C17—21no—
968C4×C17—21no—
969C4×C17—21no—
970C4×C17—21no—
971C4×C17—21no—
972C4×C17—21no—
973C4×C17—41no—
974C4×C17—41no—
975C4×C17—41no—
976C4×C17—41no—
977C4×C17—41no—
978C4×C17—41no—
979C4×C17—41no—
980C4×C17—41no—
981C4×C17—41no—
982C4×C17C2×H(5,𝔽2)11yescharacteristic
983C4×C17C2×H(5,𝔽2)11yescharacteristic
984C22×#41C22×C1711yescharacteristic, complemented
985C22×#41C22×C1711yescharacteristic, complemented
986C2×#137C22×C1711yescharacteristic, complemented
987C2×AGL(1,ℤ/8)C22×C1711yescharacteristic, complemented
988C2×AGL(1,ℤ/8)C22×C1711yescharacteristic, complemented
989C2×AGL(1,ℤ/8)C22×C1711yescharacteristic, complemented
990C2×#135C22×C1711yescharacteristic, complemented
991C2×#135C22×C1711yescharacteristic, complemented
992C22×SD16C22×C1711yescharacteristic, complemented
993C22×D8C22×C1711yescharacteristic, complemented
994#555C22×C1711yescharacteristic, complemented
995#554C22×C1711yescharacteristic, complemented
996#553—21no—
997#553C22×C1711yescharacteristic
998#553C22×C1711yescharacteristic, complemented
999#550C22×C1711yescharacteristic, complemented
1000#550C22×C1711yescharacteristic, complemented
1001D4×Q8C22×C1711yescharacteristic, complemented
1002#548C22×C1711yescharacteristic
1003#548C22×C1711yescharacteristic, complemented
1004#547—21no—
1005#547C22×C1711yescharacteristic, complemented
1006#546—21no—
1007#546—21no—
1008#546—21no—
1009#546—21no—
1010#546C22×C1711yescharacteristic
1011#546C22×C1711yescharacteristic
1012#546C22×C1711yescharacteristic, complemented
1013#546C22×C1711yescharacteristic, complemented
1014D42—21no—
1015D42—21no—
1016D42C22×C1711yescharacteristic, complemented
1017D42C22×C1711yescharacteristic, complemented
1018#540—21no—
1019#538—21no—
1020#538—21no—
1021#532—21no—
1022#532C22×C1711yescharacteristic, complemented
1023#532C22×C1711yescharacteristic, complemented
1024#529C22×C1711yescharacteristic, complemented
1025#525—21no—
1026#525—21no—
1027#525C22×C1711yescharacteristic, complemented
1028#525C22×C1711yescharacteristic, complemented
1029#525C22×C1711yescharacteristic, complemented
1030#525C22×C1711yescharacteristic, complemented
1031C2×#121C22×C1711yescharacteristic, complemented
1032C2×#121C22×C1711yescharacteristic, complemented
1033#518—21no—
1034C4×#41C22×C1711yescharacteristic, complemented
1035C2×C4×D4—21no—
1036C2×C4×D4C22×C1711yescharacteristic
1037#497C22×C1711yescharacteristic, complemented
1038#496C22×C1711yescharacteristic, complemented
1039#496C22×C1711yescharacteristic, complemented
1040#496C22×C1711yescharacteristic, complemented
1041#491C22×C1711yescharacteristic, complemented
1042#490C22×C1711yescharacteristic, complemented
1043#489C22×C1711yescharacteristic, complemented
1044#489C22×C1711yescharacteristic, complemented
1045#485C22×C1711yescharacteristic, complemented
1046#485C22×C1711yescharacteristic, complemented
1047#485C22×C1711yescharacteristic, complemented
1048#484C22×C1711yescharacteristic, complemented
1049#483C22×C1711yescharacteristic, complemented
1050#482C22×C1711yescharacteristic, complemented
1051#482C22×C1711yescharacteristic, complemented
1052#482C22×C1711yescharacteristic, complemented
1053#482C22×C1711yescharacteristic, complemented
1054#482C22×C1711yescharacteristic, complemented
1055#481C22×C1711yescharacteristic, complemented
1056#480C22×C1711yescharacteristic, complemented
1057#479C22×C1711yescharacteristic, complemented
1058#478C22×C1711yescharacteristic, complemented
1059#475C22×C1711yescharacteristic, complemented
1060#474C22×C1711yescharacteristic, complemented
1061#470C22×C1711yescharacteristic, complemented
1062#469C22×C1711yescharacteristic, complemented
1063#469C22×C1711yescharacteristic, complemented
1064#469C22×C1711yescharacteristic, complemented
1065#468C22×C1711yescharacteristic, complemented
1066#468C22×C1711yescharacteristic, complemented
1067#468C22×C1711yescharacteristic, complemented
1068#468C22×C1711yescharacteristic, complemented
1069#467C22×C1711yescharacteristic, complemented
1070#466C22×C1711yescharacteristic, complemented
1071#466C22×C1711yescharacteristic, complemented
1072#466C22×C1711yescharacteristic, complemented
1073#465C22×C1711yescharacteristic, complemented
1074#465C22×C1711yescharacteristic, complemented
1075#465C22×C1711yescharacteristic, complemented
1076#465C22×C1711yescharacteristic, complemented
1077#464C22×C1711yescharacteristic, complemented
1078#464C22×C1711yescharacteristic, complemented
1079#464C22×C1711yescharacteristic, complemented
1080#463C22×C1711yescharacteristic, complemented
1081#463C22×C1711yescharacteristic, complemented
1082#463C22×C1711yescharacteristic, complemented
1083#461C22×C1711yescharacteristic, complemented
1084#461C22×C1711yescharacteristic, complemented
1085#460C22×C1711yescharacteristic, complemented
1086#459C22×C1711yescharacteristic, complemented
1087#459C22×C1711yescharacteristic, complemented
1088#459C22×C1711yescharacteristic, complemented
1089#452C22×C1711yescharacteristic, complemented
1090#452C22×C1711yescharacteristic, complemented
1091#452C22×C1711yescharacteristic, complemented
1092#452C22×C1711yescharacteristic, complemented
1093#452C22×C1711yescharacteristic, complemented
1094#452C22×C1711yescharacteristic, complemented
1095#452C22×C1711yescharacteristic, complemented
1096#451C22×C1711yescharacteristic, complemented
1097#450C22×C1711yescharacteristic, complemented
1098#450C22×C1711yescharacteristic, complemented
1099#450C22×C1711yescharacteristic, complemented
1100#449C22×C1711yescharacteristic
1101#449C22×C1711yescharacteristic, complemented
1102#449C22×C1711yescharacteristic, complemented
1103#449C22×C1711yescharacteristic, complemented
1104#449C22×C1711yescharacteristic, complemented
1105#449C22×C1711yescharacteristic, complemented
1106#449C22×C1711yescharacteristic, complemented
1107#449C22×C1711yescharacteristic, complemented
1108#449C22×C1711yescharacteristic, complemented
1109#449C22×C1711yescharacteristic, complemented
1110#449C22×C1711yescharacteristic, complemented
1111#449C22×C1711yescharacteristic, complemented
1112#449C22×C1711yescharacteristic, complemented
1113#449C22×C1711yescharacteristic, complemented
1114#449C22×C1711yescharacteristic, complemented
1115#449C22×C1711yescharacteristic, complemented
1116#449C22×C1711yescharacteristic, complemented
1117#448C22×C1711yescharacteristic, complemented
1118#448C22×C1711yescharacteristic, complemented
1119#448C22×C1711yescharacteristic, complemented
1120#447C22×C1711yescharacteristic, complemented
1121#447C22×C1711yescharacteristic, complemented
1122#447C22×C1711yescharacteristic, complemented
1123#447C22×C1711yescharacteristic, complemented
1124#447C22×C1711yescharacteristic, complemented
1125#442C22×C1711yescharacteristic, complemented
1126#442C22×C1711yescharacteristic, complemented
1127#442C22×C1711yescharacteristic, complemented
1128#441C22×C1711yescharacteristic, complemented
1129#440C22×C1711yescharacteristic, complemented
1130#440C22×C1711yescharacteristic, complemented
1131#440C22×C1711yescharacteristic, complemented
1132#440C22×C1711yescharacteristic, complemented
1133#435C22×C1711yescharacteristic, complemented
1134#435C22×C1711yescharacteristic, complemented
1135#435C22×C1711yescharacteristic, complemented
1136#435C22×C1711yescharacteristic, complemented
1137#435C22×C1711yescharacteristic, complemented
1138#435C22×C1711yescharacteristic, complemented
1139#435C22×C1711yescharacteristic, complemented
1140#435C22×C1711yescharacteristic, complemented
1141#432C22×C1711yescharacteristic, complemented
1142#432C22×C1711yescharacteristic, complemented
1143#419C22×C1711yescharacteristic, complemented
1144#418C22×C1711yescharacteristic, complemented
1145#417C22×C1711yescharacteristic, complemented
1146#417C22×C1711yescharacteristic, complemented
1147#416C22×C1711yescharacteristic, complemented
1148#416C22×C1711yescharacteristic, complemented
1149C2×#103C22×C1711yescharacteristic, complemented
1150C2×#102C22×C1711yescharacteristic, complemented
1151#407C22×C1711yescharacteristic, complemented
1152#407C22×C1711yescharacteristic, complemented
1153C2×C22⋊C8C22×C1711yescharacteristic, complemented
1154C2×C22⋊C8C22×C1711yescharacteristic, complemented
1155C2×C17—22no—
1156C2×C17—41no—
1157C2×C17—41no—
1158C2×C17—41no—
1159C2×C17—41no—
1160C2×C17—42no—
1161C2×C17—81no—
1162C2×C17—81no—
1163C2×C17—81no—
1164C2×C17—81no—
1165C2×C17—81no—
1166C2×C17#348411yescharacteristic
1167C2×C17C2×#57511yescharacteristic
1168C2×C17#358511yescharacteristic
1169C2×#41—21no—
1170C2×#41—21no—
1171C2×#41—21no—
1172C2×#41—21no—
1173C2×#41—21no—
1174C2×#41—42no—
1175C2×#41—42no—
1176C2×#41—42no—
1177C2×#41—42no—
1178C2×#41C23×C1711yescharacteristic
1179C2×#41C23×C1711yescharacteristic
1180C2×#41C23×C1711yescharacteristic
1181C2×#41C23×C1711yescharacteristic
1182C2×#41C23×C1711yescharacteristic
1183C2×#41C23×C1711yescharacteristic
1184C2×#41C23×C1711yescharacteristic
1185C2×#41C23×C1711yescharacteristic
1186C2×#41C23×C1711yescharacteristic
1187C22×Q8C23×C1711yescharacteristic
1188C22×Q8C23×C1711yescharacteristic
1189C22×D4—21no—
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—21no—
1194C22×D4—21no—
1195C22×D4D4×C1711yescharacteristic
1196C22×D4C23×C1711yescharacteristic
1197C22×D4C23×C1711yescharacteristic
1198C22×D4C23×C1711yescharacteristic
1199C22×D4C23×C1711yescharacteristic
1200C23×C4—21no—
1201C23×C4—21no—
1202C23×C4C23×C1711yescharacteristic
1203C23×C4C23×C1711yescharacteristic
1204#137—42no—
1205AGL(1,ℤ/8)—42no—
1206AGL(1,ℤ/8)—42no—
1207AGL(1,ℤ/8)—42no—
1208#135—42no—
1209#135—42no—
1210C2×Q16C23×C1711yescharacteristic
1211C2×Q16C23×C1711yescharacteristic
1212C2×Q16C23×C1711yescharacteristic
1213C2×SD16—42no—
1214C2×SD16C23×C1711yescharacteristic
1215C2×SD16C23×C1711yescharacteristic
1216C2×SD16C23×C1711yescharacteristic
1217C2×SD16C23×C1711yescharacteristic
1218C2×SD16C23×C1711yescharacteristic
1219C2×SD16C23×C1711yescharacteristic
1220C2×SD16C23×C1711yescharacteristic
1221C2×SD16C23×C1711yescharacteristic
1222C2×SD16C23×C1711yescharacteristic
1223C2×SD16C23×C1711yescharacteristic
1224C2×SD16C23×C1711yescharacteristic
1225C2×SD16C23×C1711yescharacteristic
1226C2×D8—42no—
1227C2×D8C23×C1711yescharacteristic
1228C2×D8C23×C1711yescharacteristic
1229C2×D8C23×C1711yescharacteristic
1230C2×D8C23×C1711yescharacteristic
1231C2×D8C23×C1711yescharacteristic
1232C2×D8C23×C1711yescharacteristic
1233C2×D8C23×C1711yescharacteristic
1234C2×D8C23×C1711yescharacteristic
1235C2×D8C23×C1711yescharacteristic
1236C2×M16C23×C1711yescharacteristic
1237C2×M16C23×C1711yescharacteristic
1238C2×M16C23×C1711yescharacteristic
1239C2×M16C23×C1711yescharacteristic
1240C22×C8C23×C1711yescharacteristic
1241C22×C8C23×C1711yescharacteristic
1242C22×C8C23×C1711yescharacteristic
1243C22×C8C23×C1711yescharacteristic
1244C4⋊Q8—21no—
1245C4⋊Q8C23×C1711yescharacteristic
1246C4⋊Q8C23×C1711yescharacteristic
1247#127—21no—
1248#127—21no—
1249#127C23×C1711yescharacteristic
1250#127C23×C1711yescharacteristic
1251#126—21no—
1252#126—21no—
1253#126—21no—
1254#125—21no—
1255#125C23×C1711yescharacteristic
1256#124—21no—
1257#124—21no—
1258#124—21no—
1259#124—21no—
1260#124—21no—
1261#124C23×C1711yescharacteristic
1262#124C23×C1711yescharacteristic
1263#124C23×C1711yescharacteristic
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123—21no—
1273#123—21no—
1274#123—21no—
1275#123—21no—
1276#123—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—21no—
1282C22⋊Q8—21no—
1283C22⋊Q8C23×C1711yescharacteristic
1284C22⋊Q8C23×C1711yescharacteristic
1285C22⋊Q8C23×C1711yescharacteristic
1286C22⋊Q8C23×C1711yescharacteristic
1287C22⋊Q8C23×C1711yescharacteristic
1288C22⋊Q8C23×C1711yescharacteristic
1289C22⋊Q8C23×C1711yescharacteristic
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#121C23×C1711yescharacteristic
1314#121C23×C1711yescharacteristic
1315#121C23×C1711yescharacteristic
1316#121C23×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#120—21no—
1327#120—21no—
1328#120—21no—
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338C4×Q8C23×C1711yescharacteristic
1339C4×Q8C23×C1711yescharacteristic
1340C4×Q8C23×C1711yescharacteristic
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
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×D4D4×C1711yescharacteristic
1364C4×D4D4×C1711yescharacteristic
1365C4×D4D4×C1711yescharacteristic
1366C4×D4D4×C1711yescharacteristic
1367C4×D4C23×C1711yescharacteristic
1368C4×D4C23×C1711yescharacteristic
1369C4×D4C23×C1711yescharacteristic
1370C4×D4C23×C1711yescharacteristic
1371C4×D4C23×C1711yescharacteristic
1372C4×D4C23×C1711yescharacteristic
1373C4×D4C23×C1711yescharacteristic
1374C4×D4C23×C1711yescharacteristic
1375C4×D4C23×C1711yescharacteristic
1376#117—21no—
1377#117—21no—
1378#117—21no—
1379#117C23×C1711yescharacteristic
1380#117C23×C1711yescharacteristic
1381#117C23×C1711yescharacteristic
1382C2×C4⋊C4—21no—
1383C2×C4⋊C4D4×C1711yescharacteristic
1384C2×C4⋊C4C23×C1711yescharacteristic
1385C2×C4⋊C4C23×C1711yescharacteristic
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389C2×C22⋊C4—21no—
1390C2×C22⋊C4—21no—
1391C2×C22⋊C4—21no—
1392C2×C22⋊C4D4×C1711yescharacteristic
1393C2×C22⋊C4D4×C1711yescharacteristic
1394C2×C42—21no—
1395C2×C42C23×C1711yescharacteristic
1396#107C23×C1711yescharacteristic
1397#107C23×C1711yescharacteristic
1398#107C23×C1711yescharacteristic
1399#107C23×C1711yescharacteristic
1400#106C23×C1711yescharacteristic
1401#106C23×C1711yescharacteristic
1402#106C23×C1711yescharacteristic
1403#106C23×C1711yescharacteristic
1404C4⋊C8C23×C1711yescharacteristic
1405C4⋊C8C23×C1711yescharacteristic
1406C4⋊C8C23×C1711yescharacteristic
1407C4⋊C8C23×C1711yescharacteristic
1408#103C23×C1711yescharacteristic
1409#103C23×C1711yescharacteristic
1410#103C23×C1711yescharacteristic
1411#103C23×C1711yescharacteristic
1412#103C23×C1711yescharacteristic
1413#103C23×C1711yescharacteristic
1414#103C23×C1711yescharacteristic
1415#103C23×C1711yescharacteristic
1416#103C23×C1711yescharacteristic
1417#103C23×C1711yescharacteristic
1418#103C23×C1711yescharacteristic
1419#103C23×C1711yescharacteristic
1420#103C23×C1711yescharacteristic
1421#103C23×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
1431#102C23×C1711yescharacteristic
1432#102C23×C1711yescharacteristic
1433#102C23×C1711yescharacteristic
1434#102C23×C1711yescharacteristic
1435#102C23×C1711yescharacteristic
1436#102C23×C1711yescharacteristic
1437#102C23×C1711yescharacteristic
1438#102C23×C1711yescharacteristic
1439#102C23×C1711yescharacteristic
1440C22⋊C8C23×C1711yescharacteristic
1441C22⋊C8C23×C1711yescharacteristic
1442C22⋊C8C23×C1711yescharacteristic
1443C22⋊C8C23×C1711yescharacteristic
1444C22⋊C8C23×C1711yescharacteristic
1445C22⋊C8C23×C1711yescharacteristic
1446C22⋊C8C23×C1711yescharacteristic
1447C22⋊C8C23×C1711yescharacteristic
1448C22⋊C8C23×C1711yescharacteristic
1449C22⋊C8C23×C1711yescharacteristic
1450C22⋊C8C23×C1711yescharacteristic
1451C22⋊C8C23×C1711yescharacteristic
1452#97C23×C1711yescharacteristic
1453#97C23×C1711yescharacteristic
1454#97C23×C1711yescharacteristic
1455#97C23×C1711yescharacteristic
1456C17#6157911yescharacteristic, direct product factor, Sylow
1457C24—21no—
1458C24—21no—
1459C24—21no—
1460C24—21no—
1461C24C2×D4×C1711yescharacteristic
1462C24C2×D4×C1711yescharacteristic
1463#41—22no—
1464#41—22no—
1465#41—22no—
1466#41—22no—
1467#41—22no—
1468#41—22no—
1469#41—41no—
1470#41—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—44no—
1478#41—44no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—44no—
1484#41—44no—
1485#41—82no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—21no—
1489C2×Q8—22no—
1490C2×Q8—22no—
1491C2×Q8—41no—
1492C2×Q8—41no—
1493C2×Q8C24×C1711yescharacteristic
1494C2×Q8C24×C1711yescharacteristic
1495C2×Q8C24×C1711yescharacteristic
1496C2×Q8C24×C1711yescharacteristic
1497C2×D4—21no—
1498C2×D4—22no—
1499C2×D4—22no—
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—21no—
1528C2×D4—21no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—42no—
1536C2×D4—44no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—82no—
1541C2×D4—82no—
1542C2×D4C2×D4×C1711yescharacteristic
1543C2×D4C2×D4×C1711yescharacteristic
1544C2×D4C2×D4×C1711yescharacteristic
1545C2×D4C2×D4×C1711yescharacteristic
1546C2×D4C24×C1711yescharacteristic
1547C2×D4C24×C1711yescharacteristic
1548C2×D4C24×C1711yescharacteristic
1549C2×D4C24×C1711yescharacteristic
1550C2×D4C24×C1711yescharacteristic
1551C2×D4C24×C1711yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—41no—
1573C22×C4—41no—
1574C22×C4—44no—
1575C22×C4—44no—
1576C22×C4C2×D4×C1711yescharacteristic
1577C22×C4C2×D4×C1711yescharacteristic
1578C22×C4C2×D4×C1711yescharacteristic
1579C22×C4C2×D4×C1711yescharacteristic
1580C22×C4C2×D4×C1711yescharacteristic
1581C22×C4C2×D4×C1711yescharacteristic
1582C22×C4C2×D4×C1711yescharacteristic
1583C22×C4C2×D4×C1711yescharacteristic
1584C22×C4C24×C1711yescharacteristic
1585C22×C4C24×C1711yescharacteristic
1586C22×C4C24×C1711yescharacteristic
1587C22×C4C24×C1711yescharacteristic
1588C22×C4C24×C1711yescharacteristic
1589Q16—22no—
1590Q16—41no—
1591Q16—41no—
1592SD16—22no—
1593SD16—22no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—41no—
1600SD16—41no—
1601SD16—41no—
1602SD16—41no—
1603SD16—41no—
1604D8—22no—
1605D8—22no—
1606D8—22no—
1607D8—41no—
1608D8—41no—
1609D8—41no—
1610D8—41no—
1611D8—41no—
1612D8—41no—
1613M16—41no—
1614M16—41no—
1615M16—41no—
1616M16—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8—41no—
1620C2×C8—41no—
1621C2×C8C24×C1711yescharacteristic
1622C2×C8C24×C1711yescharacteristic
1623C2×C8C24×C1711yescharacteristic
1624C2×C8C24×C1711yescharacteristic
1625C2×C8C24×C1711yescharacteristic
1626C2×C8C24×C1711yescharacteristic
1627C2×C8C24×C1711yescharacteristic
1628C2×C8C24×C1711yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4C2×D4×C1711yescharacteristic
1647C4⋊C4C2×D4×C1711yescharacteristic
1648C4⋊C4C2×D4×C1711yescharacteristic
1649C4⋊C4C2×D4×C1711yescharacteristic
1650C4⋊C4C24×C1711yescharacteristic
1651C4⋊C4C24×C1711yescharacteristic
1652C4⋊C4C24×C1711yescharacteristic
1653C4⋊C4C24×C1711yescharacteristic
1654C4⋊C4C24×C1711yescharacteristic
1655C4⋊C4C24×C1711yescharacteristic
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⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4C2×D4×C1711yescharacteristic
1691C22⋊C4C2×D4×C1711yescharacteristic
1692C22⋊C4C2×D4×C1711yescharacteristic
1693C22⋊C4C2×D4×C1711yescharacteristic
1694C22⋊C4C2×D4×C1711yescharacteristic
1695C22⋊C4C2×D4×C1711yescharacteristic
1696C22⋊C4C2×D4×C1711yescharacteristic
1697C22⋊C4C2×D4×C1711yescharacteristic
1698C42—21no—
1699C42—21no—
1700C42—21no—
1701C42—21no—
1702C42—21no—
1703C42—21no—
1704C42C2×D4×C1711yescharacteristic
1705C42C2×D4×C1711yescharacteristic
1706C42C24×C1711yescharacteristic
1707C42C24×C1711yescharacteristic
1708C23—21no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—42no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—81no—
1732C23C22×D4×C1711yescharacteristic
1733C23C22×D4×C1711yescharacteristic
1734C23C22×D4×C1711yescharacteristic
1735C23C22×D4×C1711yescharacteristic
1736C23C22×D4×C1711yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—21no—
1743Q8—21no—
1744Q8—42no—
1745Q8—42no—
1746Q8—81no—
1747Q8C17×H(5,𝔽2)12yes—
1748D4—24no—
1749D4—22no—
1750D4—22no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—21no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—41no—
1763D4—41no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—42no—
1778D4—42no—
1779D4—42no—
1780D4—42no—
1781D4—81no—
1782D4—81no—
1783D4—81no—
1784D4—81no—
1785D4—81no—
1786D4—81no—
1787D4—81no—
1788D4—81no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4C17×H(5,𝔽2)12yes—
1794C2×C4—24no—
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—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—42no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—42no—
1828C2×C4—42no—
1829C2×C4—42no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—81no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4C22×D4×C1711yescharacteristic
1841C2×C4C22×D4×C1711yescharacteristic
1842C2×C4C22×D4×C1711yescharacteristic
1843C2×C4C22×D4×C1711yescharacteristic
1844C2×C4C22×D4×C1711yescharacteristic
1845C2×C4C22×D4×C1711yescharacteristic
1846C2×C4C22×D4×C1711yescharacteristic
1847C2×C4C22×D4×C1711yescharacteristic
1848C2×C4C22×D4×C1711yescharacteristic
1849C2×C4C25×C1711yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—21no—
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—22no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—82no—
1891C22—84no—
1892C22—82no—
1893C22—84no—
1894C22—162no—
1895C22—162no—
1896C22C17×#57512yes—
1897C22C23×D4×C1711yescharacteristic
1898C4—21no—
1899C4—22no—
1900C4—21no—
1901C4—21no—
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—21no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4C2×C17×H(5,𝔽2)11yescharacteristic
1918C4C2×C17×H(5,𝔽2)11yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—41no—
1924C2—42no—
1925C2—81no—
1926C2—81no—
1927C2—81no—
1928C2—81no—
1929C2—81no—
1930C2C17×#348411yescharacteristic
1931C2C2×C17×#57511yescharacteristic
1932C2C17×#358511yescharacteristic
subgroupG/H
center, socleC22×C17C23×D4
commutator, Frattini, cosocleC2×C4C25×C17
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C17 ◁ C2×C4×D4×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#3519C2semidirect
2. D4×#41×C17C2semidirect
3. C17×#3321C2semidirect
4. C17×#3320C2semidirect
5. C17×#3319C2semidirect
6. C17×#3318C2semidirect
7. C17×#3316C2semidirect
8. C17×#3314C2semidirect
9. C17×#3309C2semidirect
10. C17×#3307C2semidirect
11. C17×#3271C2semidirect
12. C17×#3268C2semidirect
13. C17×#3268C2semidirect
14. C17×#3267C2semidirect
15. C17×#3266C2semidirect
16. C17×#3265C2semidirect
17. C17×#3264C2semidirect
18. C17×#3264C2semidirect
19. C17×#3219C2semidirect
20. C17×#3214C2semidirect
21. C17×#3197C2semidirect
22. C17×#3194C2semidirect
23. C17×#3191C2semidirect
24. C17×#3188C2semidirect
25. C17×#3115C2semidirect
26. C17×#3111C2semidirect
27. C17×#3006C2semidirect
28. C17×#3005C2semidirect
29. C17×#3002C2semidirect
30. C2×C17×#449C2semidirect
31. C17×#2973C2semidirect
32. C22×#41×C17C22semidirect
33. C22×#41×C17C22semidirect
34. C2×C17×#137C22semidirect
35. C2×C17×AGL(1,ℤ/8)C22semidirect
36. C2×C17×AGL(1,ℤ/8)C22semidirect
37. C2×C17×AGL(1,ℤ/8)C22semidirect
38. C2×C17×#135C22semidirect
39. C2×C17×#135C22semidirect
40. C22×SD16×C17C22semidirect
41. C22×D8×C17C22semidirect
42. C17×#555C22semidirect
43. C17×#554C22semidirect
46. C17×#553C22semidirect
47. C17×#550C22semidirect
48. C17×#550C22semidirect
49. D4×Q8×C17C22semidirect
51. C17×#548C22semidirect
53. C17×#547C22semidirect
60. C17×#546C22semidirect
61. C17×#546C22semidirect
64. D42×C17C22semidirect
65. D42×C17C22semidirect
70. C17×#532C22semidirect
71. C17×#532C22semidirect
72. C17×#529C22semidirect
75. C17×#525C22semidirect
76. C17×#525C22semidirect
77. C17×#525C22semidirect
78. C17×#525C22semidirect
79. C2×C17×#121C22semidirect
80. C2×C17×#121C22semidirect
82. C4×#41×C17C22semidirect
85. C17×#497C22semidirect
86. C17×#496C22semidirect
87. C17×#496C22semidirect
88. C17×#496C22semidirect
89. C17×#491C22semidirect
90. C17×#490C22semidirect
91. C17×#489C22semidirect
92. C17×#489C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#485C22semidirect
96. C17×#484C22semidirect
97. C17×#483C22semidirect
98. C17×#482C22semidirect
99. C17×#482C22semidirect
100. C17×#482C22semidirect
101. C17×#482C22semidirect
102. C17×#482C22semidirect
103. C17×#481C22semidirect
104. C17×#480C22semidirect
105. C17×#479C22semidirect
106. C17×#478C22semidirect
107. C17×#475C22semidirect
108. C17×#474C22semidirect
109. C17×#470C22semidirect
110. C17×#469C22semidirect
111. C17×#469C22semidirect
112. C17×#469C22semidirect
113. C17×#468C22semidirect
114. C17×#468C22semidirect
115. C17×#468C22semidirect
116. C17×#468C22semidirect
117. C17×#467C22semidirect
118. C17×#466C22semidirect
119. C17×#466C22semidirect
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×#463C22semidirect
129. C17×#463C22semidirect
130. C17×#463C22semidirect
131. C17×#461C22semidirect
132. C17×#461C22semidirect
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×#452C22semidirect
143. C17×#452C22semidirect
144. C17×#451C22semidirect
145. C17×#450C22semidirect
146. C17×#450C22semidirect
147. C17×#450C22semidirect
149. C17×#449C22semidirect
150. C17×#449C22semidirect
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
161. C17×#449C22semidirect
162. C17×#449C22semidirect
163. C17×#449C22semidirect
164. C17×#449C22semidirect
165. C17×#448C22semidirect
166. C17×#448C22semidirect
167. C17×#448C22semidirect
168. C17×#447C22semidirect
169. C17×#447C22semidirect
170. C17×#447C22semidirect
171. C17×#447C22semidirect
172. C17×#447C22semidirect
173. C17×#442C22semidirect
174. C17×#442C22semidirect
175. C17×#442C22semidirect
176. C17×#441C22semidirect
177. C17×#440C22semidirect
178. C17×#440C22semidirect
179. C17×#440C22semidirect
180. C17×#440C22semidirect
181. C17×#435C22semidirect
182. C17×#435C22semidirect
183. C17×#435C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
186. C17×#435C22semidirect
187. C17×#435C22semidirect
188. C17×#435C22semidirect
189. C17×#432C22semidirect
190. C17×#432C22semidirect
191. C17×#419C22semidirect
192. C17×#418C22semidirect
193. C17×#417C22semidirect
194. C17×#417C22semidirect
195. C17×#416C22semidirect
196. C17×#416C22semidirect
197. C2×C17×#103C22semidirect
198. C2×C17×#102C22semidirect
199. C17×#407C22semidirect
200. C17×#407C22semidirect
201. C2×C17×C22⋊C8C22semidirect
202. C2×C17×C22⋊C8C22semidirect
741. #61579C17direct (N × H)
892. #3519C2×C17semidirect
893. D4×#41C2×C17semidirect
894. #3321C2×C17semidirect
895. #3320C2×C17semidirect
896. #3319C2×C17semidirect
897. #3318C2×C17semidirect
898. #3316C2×C17semidirect
899. #3314C2×C17semidirect
900. #3309C2×C17semidirect
901. #3307C2×C17semidirect
902. #3271C2×C17semidirect
903. #3268C2×C17semidirect
904. #3268C2×C17semidirect
905. #3267C2×C17semidirect
906. #3266C2×C17semidirect
907. #3265C2×C17semidirect
908. #3264C2×C17semidirect
909. #3264C2×C17semidirect
910. #3219C2×C17semidirect
911. #3214C2×C17semidirect
912. #3197C2×C17semidirect
913. #3194C2×C17semidirect
914. #3191C2×C17semidirect
915. #3188C2×C17semidirect
916. #3115C2×C17semidirect
917. #3111C2×C17semidirect
918. #3006C2×C17semidirect
919. #3005C2×C17semidirect
920. #3002C2×C17semidirect
921. C2×#449C2×C17semidirect
922. #2973C2×C17semidirect
984. C22×#41C22×C17semidirect
985. C22×#41C22×C17semidirect
986. C2×#137C22×C17semidirect
987. C2×AGL(1,ℤ/8)C22×C17semidirect
988. C2×AGL(1,ℤ/8)C22×C17semidirect
989. C2×AGL(1,ℤ/8)C22×C17semidirect
990. C2×#135C22×C17semidirect
991. C2×#135C22×C17semidirect
992. C22×SD16C22×C17semidirect
993. C22×D8C22×C17semidirect
994. #555C22×C17semidirect
995. #554C22×C17semidirect
998. #553C22×C17semidirect
999. #550C22×C17semidirect
1000. #550C22×C17semidirect
1001. D4×Q8C22×C17semidirect
1003. #548C22×C17semidirect
1005. #547C22×C17semidirect
1012. #546C22×C17semidirect
1013. #546C22×C17semidirect
1016. D42C22×C17semidirect
1017. D42C22×C17semidirect
1022. #532C22×C17semidirect
1023. #532C22×C17semidirect
1024. #529C22×C17semidirect
1027. #525C22×C17semidirect
1028. #525C22×C17semidirect
1029. #525C22×C17semidirect
1030. #525C22×C17semidirect
1031. C2×#121C22×C17semidirect
1032. C2×#121C22×C17semidirect
1034. C4×#41C22×C17semidirect
1037. #497C22×C17semidirect
1038. #496C22×C17semidirect
1039. #496C22×C17semidirect
1040. #496C22×C17semidirect
1041. #491C22×C17semidirect
1042. #490C22×C17semidirect
1043. #489C22×C17semidirect
1044. #489C22×C17semidirect
1045. #485C22×C17semidirect
1046. #485C22×C17semidirect
1047. #485C22×C17semidirect
1048. #484C22×C17semidirect
1049. #483C22×C17semidirect
1050. #482C22×C17semidirect
1051. #482C22×C17semidirect
1052. #482C22×C17semidirect
1053. #482C22×C17semidirect
1054. #482C22×C17semidirect
1055. #481C22×C17semidirect
1056. #480C22×C17semidirect
1057. #479C22×C17semidirect
1058. #478C22×C17semidirect
1059. #475C22×C17semidirect
1060. #474C22×C17semidirect
1061. #470C22×C17semidirect
1062. #469C22×C17semidirect
1063. #469C22×C17semidirect
1064. #469C22×C17semidirect
1065. #468C22×C17semidirect
1066. #468C22×C17semidirect
1067. #468C22×C17semidirect
1068. #468C22×C17semidirect
1069. #467C22×C17semidirect
1070. #466C22×C17semidirect
1071. #466C22×C17semidirect
1072. #466C22×C17semidirect
1073. #465C22×C17semidirect
1074. #465C22×C17semidirect
1075. #465C22×C17semidirect
1076. #465C22×C17semidirect
1077. #464C22×C17semidirect
1078. #464C22×C17semidirect
1079. #464C22×C17semidirect
1080. #463C22×C17semidirect
1081. #463C22×C17semidirect
1082. #463C22×C17semidirect
1083. #461C22×C17semidirect
1084. #461C22×C17semidirect
1085. #460C22×C17semidirect
1086. #459C22×C17semidirect
1087. #459C22×C17semidirect
1088. #459C22×C17semidirect
1089. #452C22×C17semidirect
1090. #452C22×C17semidirect
1091. #452C22×C17semidirect
1092. #452C22×C17semidirect
1093. #452C22×C17semidirect
1094. #452C22×C17semidirect
1095. #452C22×C17semidirect
1096. #451C22×C17semidirect
1097. #450C22×C17semidirect
1098. #450C22×C17semidirect
1099. #450C22×C17semidirect
1101. #449C22×C17semidirect
1102. #449C22×C17semidirect
1103. #449C22×C17semidirect
1104. #449C22×C17semidirect
1105. #449C22×C17semidirect
1106. #449C22×C17semidirect
1107. #449C22×C17semidirect
1108. #449C22×C17semidirect
1109. #449C22×C17semidirect
1110. #449C22×C17semidirect
1111. #449C22×C17semidirect
1112. #449C22×C17semidirect
1113. #449C22×C17semidirect
1114. #449C22×C17semidirect
1115. #449C22×C17semidirect
1116. #449C22×C17semidirect
1117. #448C22×C17semidirect
1118. #448C22×C17semidirect
1119. #448C22×C17semidirect
1120. #447C22×C17semidirect
1121. #447C22×C17semidirect
1122. #447C22×C17semidirect
1123. #447C22×C17semidirect
1124. #447C22×C17semidirect
1125. #442C22×C17semidirect
1126. #442C22×C17semidirect
1127. #442C22×C17semidirect
1128. #441C22×C17semidirect
1129. #440C22×C17semidirect
1130. #440C22×C17semidirect
1131. #440C22×C17semidirect
1132. #440C22×C17semidirect
1133. #435C22×C17semidirect
1134. #435C22×C17semidirect
1135. #435C22×C17semidirect
1136. #435C22×C17semidirect
1137. #435C22×C17semidirect
1138. #435C22×C17semidirect
1139. #435C22×C17semidirect
1140. #435C22×C17semidirect
1141. #432C22×C17semidirect
1142. #432C22×C17semidirect
1143. #419C22×C17semidirect
1144. #418C22×C17semidirect
1145. #417C22×C17semidirect
1146. #417C22×C17semidirect
1147. #416C22×C17semidirect
1148. #416C22×C17semidirect
1149. C2×#103C22×C17semidirect
1150. C2×#102C22×C17semidirect
1151. #407C22×C17semidirect
1152. #407C22×C17semidirect
1153. C2×C22⋊C8C22×C17semidirect
1154. C2×C22⋊C8C22×C17semidirect
1456. C17#61579direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#35192
D4×#41×C172
C17×#33212
C17×#33202
C17×#33192
C17×#33182
C17×#33162
C17×#33142
C17×#33092
C17×#33072
C17×#32712
C17×#32682
C17×#32672
C17×#32662
C17×#32652
C17×#32642
C17×#32192
C17×#32142
C17×#31972
C17×#31942
C17×#31912
C17×#31882
C17×#31152
C17×#31112
C17×#30062
C17×#30052
C17×#30022
C2×C17×#4492
C17×#29732
#6157917