Finite Group Databasebeta

← C17×#61580 #16919324

Subgroups — C17×#61580 #16919324

Order 4352.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3520C211yesmaximal, characteristic, complemented
2D4×#41×C17C211yesmaximal, characteristic, complemented
3C17×#3317C211yesmaximal, characteristic, complemented
4C17×#3315C211yesmaximal, characteristic, complemented
5C17×#3313C211yesmaximal, characteristic, complemented
6C17×#3312C211yesmaximal, characteristic, complemented
7C17×#3311C211yesmaximal, characteristic, complemented
8C17×#3310C211yesmaximal, characteristic, complemented
9C17×#3308C211yesmaximal, characteristic, complemented
10C17×#3306C211yesmaximal, characteristic, complemented
11C17×#3271C211yesmaximal, characteristic, complemented
12C17×#3270C211yesmaximal, characteristic, complemented
13C17×#3270C211yesmaximal, characteristic, complemented
14C17×#3269C211yesmaximal, characteristic, complemented
15C17×#3269C211yesmaximal, characteristic, complemented
16C17×#3267C211yesmaximal, characteristic, complemented
17C17×#3266C211yesmaximal, characteristic, complemented
18C17×#3265C211yesmaximal, characteristic, complemented
19C17×#3219C211yesmaximal, characteristic, complemented
20C17×#3216C211yesmaximal, characteristic, complemented
21C17×#3197C211yesmaximal, characteristic, complemented
22C17×#3196C211yesmaximal, characteristic, complemented
23C17×#3191C211yesmaximal, characteristic, complemented
24C17×#3190C211yesmaximal, characteristic, complemented
25C17×#3116C211yesmaximal, characteristic, complemented
26C17×#3111C211yesmaximal, characteristic, complemented
27C17×#3007C211yesmaximal, characteristic, complemented
28C17×#3005C211yesmaximal, characteristic, complemented
29C17×#3002C211yesmaximal, characteristic, complemented
30C2×C17×#452C211yesmaximal, characteristic, complemented
31C17×#2973C211yesmaximal, characteristic, complemented
32C22×#41×C17C2211yescharacteristic
33C22×#41×C17C2211yescharacteristic
34C2×C17×#137C2211yescharacteristic, complemented
35C2×C17×#137C2211yescharacteristic, complemented
36C2×C17×#137C2211yescharacteristic, complemented
37C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C17×#135C2211yescharacteristic, complemented
39C2×C17×#135C2211yescharacteristic, complemented
40C22×Q16×C17C2211yescharacteristic, complemented
41C22×SD16×C17C2211yescharacteristic, complemented
42C17×#556C2211yescharacteristic, complemented
43C17×#554—21no—
44C17×#552C2211yescharacteristic
45C17×#552C2211yescharacteristic, complemented
46C17×#551—21no—
47C17×#551—21no—
48C17×#550C2211yescharacteristic
49D4×Q8×C17C2211yescharacteristic
50D4×Q8×C17C2211yescharacteristic, complemented
51C17×#548C2211yescharacteristic
52C17×#548C2211yescharacteristic
53C17×#548C2211yescharacteristic
54C17×#548C2211yescharacteristic, complemented
55C17×#547—21no—
56C17×#547C2211yescharacteristic
57C17×#547C2211yescharacteristic, complemented
58C17×#547C2211yescharacteristic, complemented
59C17×#546—21no—
60C17×#546—21no—
61C17×#546—21no—
62C17×#546C2211yescharacteristic
63C17×#546C2211yescharacteristic
64D42×C17—21no—
65D42×C17C2211yescharacteristic
66C17×#542—21no—
67C17×#539—21no—
68C17×#539—21no—
69C17×#533C2211yescharacteristic, complemented
70C17×#532—21no—
71C17×#532C2211yescharacteristic
72C17×#529C2211yescharacteristic, complemented
73C17×#525—21no—
74C17×#525—21no—
75C17×#525C2211yescharacteristic
76C17×#525C2211yescharacteristic
77C17×#525C2211yescharacteristic, complemented
78C17×#525C2211yescharacteristic, complemented
79C2×C17×C22⋊Q8C2211yescharacteristic, complemented
80C2×C17×C22⋊Q8C2211yescharacteristic, complemented
81C17×#520—21no—
82C4×#41×C17C2211yescharacteristic
83C2×C4×D4×C17—21no—
84C2×C4×D4×C17C2211yescharacteristic
85C17×#497C2211yescharacteristic, complemented
86C17×#497C2211yescharacteristic, complemented
87C17×#497C2211yescharacteristic, 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×#485C2211yescharacteristic, complemented
97C17×#485C2211yescharacteristic, complemented
98C17×#484C2211yescharacteristic, complemented
99C17×#483C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic, complemented
101C17×#482C2211yescharacteristic, complemented
102C17×#482C2211yescharacteristic, complemented
103C17×#481C2211yescharacteristic, complemented
104C17×#480C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#478C2211yescharacteristic, complemented
107C17×#477C2211yescharacteristic, complemented
108C17×#476C2211yescharacteristic, complemented
109C17×#470C2211yescharacteristic, complemented
110C17×#470C2211yescharacteristic, complemented
111C17×#470C2211yescharacteristic, complemented
112C17×#469C2211yescharacteristic, complemented
113C17×#468C2211yescharacteristic, complemented
114C17×#468C2211yescharacteristic, complemented
115C17×#468C2211yescharacteristic, complemented
116C17×#468C2211yescharacteristic, complemented
117C17×#467C2211yescharacteristic, complemented
118C17×#467C2211yescharacteristic, complemented
119C17×#467C2211yescharacteristic, complemented
120C17×#466C2211yescharacteristic, complemented
121C17×#465C2211yescharacteristic, complemented
122C17×#465C2211yescharacteristic, complemented
123C17×#465C2211yescharacteristic, complemented
124C17×#465C2211yescharacteristic, complemented
125C17×#464C2211yescharacteristic, complemented
126C17×#464C2211yescharacteristic, complemented
127C17×#464C2211yescharacteristic, complemented
128C17×#463C2211yescharacteristic, complemented
129C17×#463C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic, complemented
131C17×#462C2211yescharacteristic, complemented
132C17×#462C2211yescharacteristic, complemented
133C17×#462C2211yescharacteristic, complemented
134C17×#461C2211yescharacteristic, complemented
135C17×#460C2211yescharacteristic, complemented
136C17×#460C2211yescharacteristic, complemented
137C17×#452C2211yescharacteristic
138C17×#452C2211yescharacteristic
139C17×#452C2211yescharacteristic
140C17×#452C2211yescharacteristic, complemented
141C17×#452C2211yescharacteristic, complemented
142C17×#452C2211yescharacteristic, complemented
143C17×#452C2211yescharacteristic, complemented
144C17×#452C2211yescharacteristic, complemented
145C17×#452C2211yescharacteristic, complemented
146C17×#452C2211yescharacteristic, complemented
147C17×#452C2211yescharacteristic, complemented
148C17×#452C2211yescharacteristic, complemented
149C17×#452C2211yescharacteristic, complemented
150C17×#452C2211yescharacteristic, complemented
151C17×#452C2211yescharacteristic, complemented
152C17×#452C2211yescharacteristic, complemented
153C17×#452C2211yescharacteristic, complemented
154C17×#451C2211yescharacteristic, complemented
155C17×#451C2211yescharacteristic, complemented
156C17×#451C2211yescharacteristic, complemented
157C17×#451C2211yescharacteristic, complemented
158C17×#451C2211yescharacteristic, complemented
159C17×#450C2211yescharacteristic, complemented
160C17×#450C2211yescharacteristic, complemented
161C17×#450C2211yescharacteristic, complemented
162C17×#449C2211yescharacteristic
163C17×#449C2211yescharacteristic, complemented
164C17×#449C2211yescharacteristic, complemented
165C17×#449C2211yescharacteristic, complemented
166C17×#449C2211yescharacteristic, complemented
167C17×#449C2211yescharacteristic, complemented
168C17×#449C2211yescharacteristic, complemented
169C17×#448C2211yescharacteristic, complemented
170C17×#448C2211yescharacteristic, complemented
171C17×#448C2211yescharacteristic, complemented
172C17×#447C2211yescharacteristic, complemented
173C17×#442C2211yescharacteristic, complemented
174C17×#441C2211yescharacteristic, complemented
175C17×#441C2211yescharacteristic, complemented
176C17×#441C2211yescharacteristic, complemented
177C17×#440C2211yescharacteristic, complemented
178C17×#440C2211yescharacteristic, complemented
179C17×#440C2211yescharacteristic, complemented
180C17×#440C2211yescharacteristic, complemented
181C17×#435C2211yescharacteristic
182C17×#435C2211yescharacteristic
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×Q8×C17C2311yescharacteristic
224C22×Q8×C17C2311yescharacteristic
225C22×D4×C17—21no—
226C22×D4×C17—21no—
227C22×D4×C17—21no—
228C22×D4×C17D411yescharacteristic
229C22×D4×C17C2311yescharacteristic
230C22×D4×C17C2311yescharacteristic
231C23×C4×C17—21no—
232C23×C4×C17—21no—
233C23×C4×C17C2311yescharacteristic
234C23×C4×C17C2311yescharacteristic
235C17×#137—42no—
236C17×#137—42no—
237C17×#137—42no—
238C17×AGL(1,ℤ/8)—42no—
239C17×#135—42no—
240C17×#135—42no—
241C2×Q16×C17—42no—
242C2×Q16×C17C2311yescharacteristic
243C2×Q16×C17C2311yescharacteristic
244C2×Q16×C17C2311yescharacteristic
245C2×Q16×C17C2311yescharacteristic
246C2×Q16×C17C2311yescharacteristic
247C2×Q16×C17C2311yescharacteristic
248C2×Q16×C17C2311yescharacteristic
249C2×Q16×C17C2311yescharacteristic
250C2×Q16×C17C2311yescharacteristic
251C2×SD16×C17—42no—
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×SD16×C17C2311yescharacteristic
261C2×SD16×C17C2311yescharacteristic
262C2×SD16×C17C2311yescharacteristic
263C2×SD16×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⋊Q8—21no—
276C17×C4⋊Q8—21no—
277C17×C4⋊Q8C2311yescharacteristic
278C17×C4⋊Q8C2311yescharacteristic
279C17×C4⋊Q8C2311yescharacteristic
280C17×#127—21no—
281C17×#127C2311yescharacteristic
282C17×#126—21no—
283C17×#126—21no—
284C17×#126—21no—
285C17×#126—21no—
286C17×#126—21no—
287C17×#125—21no—
288C17×#125—21no—
289C17×#125—21no—
290C17×#125C2311yescharacteristic
291C17×#124—21no—
292C17×#124—21no—
293C17×#124—21no—
294C17×#124—21no—
295C17×#124—21no—
296C17×#124C2311yescharacteristic
297C17×#124C2311yescharacteristic
298C17×#124C2311yescharacteristic
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×#123—21no—
312C17×#123—21no—
313C17×#123—21no—
314C17×C22⋊Q8—21no—
315C17×C22⋊Q8—21no—
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⋊Q8—21no—
324C17×C22⋊Q8—21no—
325C17×C22⋊Q8—21no—
326C17×C22⋊Q8—21no—
327C17×C22⋊Q8—21no—
328C17×C22⋊Q8C2311yescharacteristic
329C17×C22⋊Q8C2311yescharacteristic
330C17×C22⋊Q8C2311yescharacteristic
331C17×C22⋊Q8C2311yescharacteristic
332C17×C22⋊Q8C2311yescharacteristic
333C17×C22⋊Q8C2311yescharacteristic
334C17×C22⋊Q8C2311yescharacteristic
335C17×C22⋊Q8C2311yescharacteristic
336C17×C22⋊Q8C2311yescharacteristic
337C17×C22⋊Q8C2311yescharacteristic
338C17×C22⋊Q8C2311yescharacteristic
339C17×C22⋊Q8C2311yescharacteristic
340C17×C22⋊Q8C2311yescharacteristic
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×#121C2311yescharacteristic
355C17×#121C2311yescharacteristic
356C17×#121C2311yescharacteristic
357C17×#121C2311yescharacteristic
358C17×#121C2311yescharacteristic
359C17×#121C2311yescharacteristic
360C17×#121C2311yescharacteristic
361C17×#120—21no—
362C17×#120—21no—
363C17×#120—21no—
364C17×#120—21no—
365C17×#120—21no—
366C17×#120—21no—
367C17×#120—21no—
368C17×#120—21no—
369C4×Q8×C17—21no—
370C4×Q8×C17—21no—
371C4×Q8×C17C2311yescharacteristic
372C4×Q8×C17C2311yescharacteristic
373C4×Q8×C17C2311yescharacteristic
374C4×Q8×C17C2311yescharacteristic
375C4×Q8×C17C2311yescharacteristic
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×C17D411yescharacteristic
397C4×D4×C17D411yescharacteristic
398C4×D4×C17D411yescharacteristic
399C4×D4×C17D411yescharacteristic
400C4×D4×C17C2311yescharacteristic
401C4×D4×C17C2311yescharacteristic
402C4×D4×C17C2311yescharacteristic
403C4×D4×C17C2311yescharacteristic
404C4×D4×C17C2311yescharacteristic
405C4×D4×C17C2311yescharacteristic
406C4×D4×C17C2311yescharacteristic
407C17×#117—21no—
408C17×#117—21no—
409C17×#117—21no—
410C17×#117—21no—
411C17×#117—21no—
412C17×#117C2311yescharacteristic
413C17×#117C2311yescharacteristic
414C17×#117C2311yescharacteristic
415C2×C4⋊C4×C17—21no—
416C2×C4⋊C4×C17—21no—
417C2×C4⋊C4×C17—21no—
418C2×C4⋊C4×C17—21no—
419C2×C4⋊C4×C17D411yescharacteristic
420C2×C4⋊C4×C17C2311yescharacteristic
421C2×C4⋊C4×C17C2311yescharacteristic
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×#103C2311yescharacteristic
457C17×#103C2311yescharacteristic
458C17×#103C2311yescharacteristic
459C17×#103C2311yescharacteristic
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×C17C2×D411yescharacteristic
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—44no—
509#41×C17—44no—
510#41×C17—41no—
511#41×C17—41no—
512#41×C17—41no—
513#41×C17—41no—
514#41×C17—44no—
515#41×C17—44no—
516#41×C17—44no—
517C2×Q8×C17—21no—
518C2×Q8×C17—21no—
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×C17—41no—
527C2×Q8×C17—41no—
528C2×Q8×C17—41no—
529C2×Q8×C17—41no—
530C2×Q8×C17C2411yescharacteristic
531C2×Q8×C17C2411yescharacteristic
532C2×Q8×C17C2411yescharacteristic
533C2×Q8×C17C2411yescharacteristic
534C2×Q8×C17C2411yescharacteristic
535C2×Q8×C17C2411yescharacteristic
536C2×D4×C17—21no—
537C2×D4×C17—22no—
538C2×D4×C17—22no—
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—41no—
559C2×D4×C17—41no—
560C2×D4×C17—42no—
561C2×D4×C17—44no—
562C2×D4×C17—44no—
563C2×D4×C17—44no—
564C2×D4×C17C2×D411yescharacteristic
565C2×D4×C17C2×D411yescharacteristic
566C2×D4×C17C2×D411yescharacteristic
567C2×D4×C17C2×D411yescharacteristic
568C2×D4×C17C2411yescharacteristic
569C2×D4×C17C2411yescharacteristic
570C2×D4×C17C2411yescharacteristic
571C2×D4×C17C2411yescharacteristic
572C22×C4×C17—21no—
573C22×C4×C17—21no—
574C22×C4×C17—21no—
575C22×C4×C17—21no—
576C22×C4×C17—21no—
577C22×C4×C17—21no—
578C22×C4×C17—21no—
579C22×C4×C17—21no—
580C22×C4×C17—21no—
581C22×C4×C17—21no—
582C22×C4×C17—21no—
583C22×C4×C17—21no—
584C22×C4×C17—21no—
585C22×C4×C17—21no—
586C22×C4×C17—21no—
587C22×C4×C17—21no—
588C22×C4×C17—21no—
589C22×C4×C17—21no—
590C22×C4×C17—41no—
591C22×C4×C17—41no—
592C22×C4×C17—41no—
593C22×C4×C17—41no—
594C22×C4×C17—44no—
595C22×C4×C17—44no—
596C22×C4×C17C2×D411yescharacteristic
597C22×C4×C17C2×D411yescharacteristic
598C22×C4×C17C2×D411yescharacteristic
599C22×C4×C17C2×D411yescharacteristic
600C22×C4×C17C2×D411yescharacteristic
601C22×C4×C17C2×D411yescharacteristic
602C22×C4×C17C2×D411yescharacteristic
603C22×C4×C17C2×D411yescharacteristic
604C22×C4×C17C2411yescharacteristic
605C22×C4×C17C2411yescharacteristic
606C22×C4×C17C2411yescharacteristic
607C22×C4×C17C2411yescharacteristic
608C22×C4×C17C2411yescharacteristic
609Q16×C17—22no—
610Q16×C17—22no—
611Q16×C17—22no—
612Q16×C17—41no—
613Q16×C17—41no—
614Q16×C17—41no—
615Q16×C17—41no—
616Q16×C17—41no—
617Q16×C17—41no—
618SD16×C17—22no—
619SD16×C17—22no—
620SD16×C17—22no—
621SD16×C17—22no—
622SD16×C17—41no—
623SD16×C17—41no—
624SD16×C17—41no—
625SD16×C17—41no—
626SD16×C17—41no—
627SD16×C17—41no—
628SD16×C17—41no—
629SD16×C17—41no—
630D8×C17—22no—
631D8×C17—41no—
632D8×C17—41no—
633M16×C17—41no—
634M16×C17—41no—
635M16×C17—41no—
636M16×C17—41no—
637C2×C8×C17—41no—
638C2×C8×C17—41no—
639C2×C8×C17—41no—
640C2×C8×C17—41no—
641C2×C8×C17C2411yescharacteristic
642C2×C8×C17C2411yescharacteristic
643C2×C8×C17C2411yescharacteristic
644C2×C8×C17C2411yescharacteristic
645C2×C8×C17C2411yescharacteristic
646C2×C8×C17C2411yescharacteristic
647C2×C8×C17C2411yescharacteristic
648C2×C8×C17C2411yescharacteristic
649C4⋊C4×C17—21no—
650C4⋊C4×C17—21no—
651C4⋊C4×C17—21no—
652C4⋊C4×C17—21no—
653C4⋊C4×C17—21no—
654C4⋊C4×C17—21no—
655C4⋊C4×C17—21no—
656C4⋊C4×C17—21no—
657C4⋊C4×C17—21no—
658C4⋊C4×C17—21no—
659C4⋊C4×C17—21no—
660C4⋊C4×C17—21no—
661C4⋊C4×C17—21no—
662C4⋊C4×C17—21no—
663C4⋊C4×C17—21no—
664C4⋊C4×C17—21no—
665C4⋊C4×C17—21no—
666C4⋊C4×C17—21no—
667C4⋊C4×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×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
726C42×C17—21no—
727C42×C17—21no—
728C42×C17—21no—
729C42×C17—21no—
730C42×C17—21no—
731C42×C17—21no—
732C42×C17—21no—
733C42×C17—21no—
734C42×C17C2×D411yescharacteristic
735C42×C17C2×D411yescharacteristic
736C42×C17C2411yescharacteristic
737C42×C17C2411yescharacteristic
738#61580C1711yesmaximal, characteristic, direct product factor, Sylow
739C23×C17—21no—
740C23×C17—22no—
741C23×C17—21no—
742C23×C17—21no—
743C23×C17—21no—
744C23×C17—41no—
745C23×C17—41no—
746C23×C17—41no—
747C23×C17—41no—
748C23×C17—41no—
749C23×C17—42no—
750C23×C17—42no—
751C23×C17—42no—
752C23×C17—42no—
753C23×C17—81no—
754C23×C17—81no—
755C23×C17C22×D411yescharacteristic
756C23×C17C22×D411yescharacteristic
757C23×C17C22×D411yescharacteristic
758C23×C17C22×D411yescharacteristic
759C23×C17C22×D411yescharacteristic
760Q8×C17—21no—
761Q8×C17—21no—
762Q8×C17—21no—
763Q8×C17—21no—
764Q8×C17—21no—
765Q8×C17—21no—
766Q8×C17—21no—
767Q8×C17—21no—
768Q8×C17—21no—
769Q8×C17—21no—
770Q8×C17—21no—
771Q8×C17—42no—
772Q8×C17—42no—
773Q8×C17—42no—
774Q8×C17—81no—
775Q8×C17—81no—
776Q8×C17H(5,𝔽2)12yes—
777D4×C17—24no—
778D4×C17—22no—
779D4×C17—22no—
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—42no—
790D4×C17—42no—
791D4×C17—42no—
792D4×C17—42no—
793D4×C17—42no—
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×C17H(5,𝔽2)12yes—
809C2×C4×C17—24no—
810C2×C4×C17—21no—
811C2×C4×C17—21no—
812C2×C4×C17—21no—
813C2×C4×C17—21no—
814C2×C4×C17—21no—
815C2×C4×C17—21no—
816C2×C4×C17—21no—
817C2×C4×C17—21no—
818C2×C4×C17—21no—
819C2×C4×C17—21no—
820C2×C4×C17—21no—
821C2×C4×C17—21no—
822C2×C4×C17—21no—
823C2×C4×C17—21no—
824C2×C4×C17—21no—
825C2×C4×C17—21no—
826C2×C4×C17—21no—
827C2×C4×C17—21no—
828C2×C4×C17—21no—
829C2×C4×C17—21no—
830C2×C4×C17—21no—
831C2×C4×C17—21no—
832C2×C4×C17—41no—
833C2×C4×C17—41no—
834C2×C4×C17—41no—
835C2×C4×C17—41no—
836C2×C4×C17—41no—
837C2×C4×C17—41no—
838C2×C4×C17—41no—
839C2×C4×C17—41no—
840C2×C4×C17—42no—
841C2×C4×C17—42no—
842C2×C4×C17—42no—
843C2×C4×C17—42no—
844C2×C4×C17—42no—
845C2×C4×C17—42no—
846C2×C4×C17—42no—
847C2×C4×C17—42no—
848C2×C4×C17—42no—
849C2×C4×C17—42no—
850C2×C4×C17—42no—
851C2×C4×C17—42no—
852C2×C4×C17—81no—
853C2×C4×C17—81no—
854C2×C4×C17—81no—
855C2×C4×C17—81no—
856C2×C4×C17—81no—
857C2×C4×C17C22×D411yescharacteristic
858C2×C4×C17C22×D411yescharacteristic
859C2×C4×C17C22×D411yescharacteristic
860C2×C4×C17C22×D411yescharacteristic
861C2×C4×C17C22×D411yescharacteristic
862C2×C4×C17C22×D411yescharacteristic
863C2×C4×C17C22×D411yescharacteristic
864C2×C4×C17C22×D411yescharacteristic
865C2×C4×C17C22×D411yescharacteristic
866C2×C4×C17C2511yescharacteristic
867C8×C17—21no—
868C8×C17—21no—
869C8×C17—21no—
870C8×C17—21no—
871C8×C17—21no—
872C8×C17—21no—
873C8×C17—21no—
874C8×C17—21no—
875#3520C2×C1711yescharacteristic, complemented
876D4×#41C2×C1711yescharacteristic, complemented
877#3317C2×C1711yescharacteristic, complemented
878#3315C2×C1711yescharacteristic, complemented
879#3313C2×C1711yescharacteristic, complemented
880#3312C2×C1711yescharacteristic, complemented
881#3311C2×C1711yescharacteristic, complemented
882#3310C2×C1711yescharacteristic, complemented
883#3308C2×C1711yescharacteristic, complemented
884#3306C2×C1711yescharacteristic, complemented
885#3271C2×C1711yescharacteristic, complemented
886#3270C2×C1711yescharacteristic, complemented
887#3270C2×C1711yescharacteristic, complemented
888#3269C2×C1711yescharacteristic, complemented
889#3269C2×C1711yescharacteristic, complemented
890#3267C2×C1711yescharacteristic, complemented
891#3266C2×C1711yescharacteristic, complemented
892#3265C2×C1711yescharacteristic, complemented
893#3219C2×C1711yescharacteristic, complemented
894#3216C2×C1711yescharacteristic, complemented
895#3197C2×C1711yescharacteristic, complemented
896#3196C2×C1711yescharacteristic, complemented
897#3191C2×C1711yescharacteristic, complemented
898#3190C2×C1711yescharacteristic, complemented
899#3116C2×C1711yescharacteristic, complemented
900#3111C2×C1711yescharacteristic, complemented
901#3007C2×C1711yescharacteristic, complemented
902#3005C2×C1711yescharacteristic, complemented
903#3002C2×C1711yescharacteristic, complemented
904C2×#452C2×C1711yescharacteristic, complemented
905#2973C2×C1711yescharacteristic, complemented
906C22×C17—21no—
907C22×C17—21no—
908C22×C17—21no—
909C22×C17—21no—
910C22×C17—21no—
911C22×C17—21no—
912C22×C17—21no—
913C22×C17—21no—
914C22×C17—22no—
915C22×C17—21no—
916C22×C17—21no—
917C22×C17—21no—
918C22×C17—21no—
919C22×C17—21no—
920C22×C17—21no—
921C22×C17—41no—
922C22×C17—41no—
923C22×C17—41no—
924C22×C17—41no—
925C22×C17—41no—
926C22×C17—41no—
927C22×C17—41no—
928C22×C17—41no—
929C22×C17—41no—
930C22×C17—41no—
931C22×C17—41no—
932C22×C17—82no—
933C22×C17—84no—
934C22×C17—82no—
935C22×C17—84no—
936C22×C17#57512yes—
937C22×C17C23×D411yescharacteristic
938C4×C17—21no—
939C4×C17—21no—
940C4×C17—21no—
941C4×C17—22no—
942C4×C17—21no—
943C4×C17—21no—
944C4×C17—21no—
945C4×C17—21no—
946C4×C17—21no—
947C4×C17—21no—
948C4×C17—41no—
949C4×C17—41no—
950C4×C17—41no—
951C4×C17—41no—
952C4×C17—41no—
953C4×C17—41no—
954C4×C17—41no—
955C4×C17—41no—
956C4×C17—41no—
957C4×C17—41no—
958C4×C17—41no—
959C4×C17C2×H(5,𝔽2)11yescharacteristic
960C4×C17C2×H(5,𝔽2)11yescharacteristic
961C22×#41C22×C1711yescharacteristic
962C22×#41C22×C1711yescharacteristic
963C2×#137C22×C1711yescharacteristic, complemented
964C2×#137C22×C1711yescharacteristic, complemented
965C2×#137C22×C1711yescharacteristic, complemented
966C2×AGL(1,ℤ/8)C22×C1711yescharacteristic, complemented
967C2×#135C22×C1711yescharacteristic, complemented
968C2×#135C22×C1711yescharacteristic, complemented
969C22×Q16C22×C1711yescharacteristic, complemented
970C22×SD16C22×C1711yescharacteristic, complemented
971#556C22×C1711yescharacteristic, complemented
972#554—21no—
973#552C22×C1711yescharacteristic
974#552C22×C1711yescharacteristic, complemented
975#551—21no—
976#551—21no—
977#550C22×C1711yescharacteristic
978D4×Q8C22×C1711yescharacteristic
979D4×Q8C22×C1711yescharacteristic, complemented
980#548C22×C1711yescharacteristic
981#548C22×C1711yescharacteristic
982#548C22×C1711yescharacteristic
983#548C22×C1711yescharacteristic, complemented
984#547—21no—
985#547C22×C1711yescharacteristic
986#547C22×C1711yescharacteristic, complemented
987#547C22×C1711yescharacteristic, complemented
988#546—21no—
989#546—21no—
990#546—21no—
991#546C22×C1711yescharacteristic
992#546C22×C1711yescharacteristic
993D42—21no—
994D42C22×C1711yescharacteristic
995#542—21no—
996#539—21no—
997#539—21no—
998#533C22×C1711yescharacteristic, complemented
999#532—21no—
1000#532C22×C1711yescharacteristic
1001#529C22×C1711yescharacteristic, complemented
1002#525—21no—
1003#525—21no—
1004#525C22×C1711yescharacteristic
1005#525C22×C1711yescharacteristic
1006#525C22×C1711yescharacteristic, complemented
1007#525C22×C1711yescharacteristic, complemented
1008C2×C22⋊Q8C22×C1711yescharacteristic, complemented
1009C2×C22⋊Q8C22×C1711yescharacteristic, complemented
1010#520—21no—
1011C4×#41C22×C1711yescharacteristic
1012C2×C4×D4—21no—
1013C2×C4×D4C22×C1711yescharacteristic
1014#497C22×C1711yescharacteristic, complemented
1015#497C22×C1711yescharacteristic, complemented
1016#497C22×C1711yescharacteristic, complemented
1017#496C22×C1711yescharacteristic, complemented
1018#491C22×C1711yescharacteristic, complemented
1019#490C22×C1711yescharacteristic, complemented
1020#489C22×C1711yescharacteristic, complemented
1021#489C22×C1711yescharacteristic, complemented
1022#485C22×C1711yescharacteristic, complemented
1023#485C22×C1711yescharacteristic, complemented
1024#485C22×C1711yescharacteristic, complemented
1025#485C22×C1711yescharacteristic, complemented
1026#485C22×C1711yescharacteristic, complemented
1027#484C22×C1711yescharacteristic, complemented
1028#483C22×C1711yescharacteristic, complemented
1029#482C22×C1711yescharacteristic, complemented
1030#482C22×C1711yescharacteristic, complemented
1031#482C22×C1711yescharacteristic, complemented
1032#481C22×C1711yescharacteristic, complemented
1033#480C22×C1711yescharacteristic, complemented
1034#479C22×C1711yescharacteristic, complemented
1035#478C22×C1711yescharacteristic, complemented
1036#477C22×C1711yescharacteristic, complemented
1037#476C22×C1711yescharacteristic, complemented
1038#470C22×C1711yescharacteristic, complemented
1039#470C22×C1711yescharacteristic, complemented
1040#470C22×C1711yescharacteristic, complemented
1041#469C22×C1711yescharacteristic, complemented
1042#468C22×C1711yescharacteristic, complemented
1043#468C22×C1711yescharacteristic, complemented
1044#468C22×C1711yescharacteristic, complemented
1045#468C22×C1711yescharacteristic, complemented
1046#467C22×C1711yescharacteristic, complemented
1047#467C22×C1711yescharacteristic, complemented
1048#467C22×C1711yescharacteristic, complemented
1049#466C22×C1711yescharacteristic, complemented
1050#465C22×C1711yescharacteristic, complemented
1051#465C22×C1711yescharacteristic, complemented
1052#465C22×C1711yescharacteristic, complemented
1053#465C22×C1711yescharacteristic, complemented
1054#464C22×C1711yescharacteristic, complemented
1055#464C22×C1711yescharacteristic, complemented
1056#464C22×C1711yescharacteristic, complemented
1057#463C22×C1711yescharacteristic, complemented
1058#463C22×C1711yescharacteristic, complemented
1059#463C22×C1711yescharacteristic, complemented
1060#462C22×C1711yescharacteristic, complemented
1061#462C22×C1711yescharacteristic, complemented
1062#462C22×C1711yescharacteristic, complemented
1063#461C22×C1711yescharacteristic, complemented
1064#460C22×C1711yescharacteristic, complemented
1065#460C22×C1711yescharacteristic, complemented
1066#452C22×C1711yescharacteristic
1067#452C22×C1711yescharacteristic
1068#452C22×C1711yescharacteristic
1069#452C22×C1711yescharacteristic, complemented
1070#452C22×C1711yescharacteristic, complemented
1071#452C22×C1711yescharacteristic, complemented
1072#452C22×C1711yescharacteristic, complemented
1073#452C22×C1711yescharacteristic, complemented
1074#452C22×C1711yescharacteristic, complemented
1075#452C22×C1711yescharacteristic, complemented
1076#452C22×C1711yescharacteristic, complemented
1077#452C22×C1711yescharacteristic, complemented
1078#452C22×C1711yescharacteristic, complemented
1079#452C22×C1711yescharacteristic, complemented
1080#452C22×C1711yescharacteristic, complemented
1081#452C22×C1711yescharacteristic, complemented
1082#452C22×C1711yescharacteristic, complemented
1083#451C22×C1711yescharacteristic, complemented
1084#451C22×C1711yescharacteristic, complemented
1085#451C22×C1711yescharacteristic, complemented
1086#451C22×C1711yescharacteristic, complemented
1087#451C22×C1711yescharacteristic, complemented
1088#450C22×C1711yescharacteristic, complemented
1089#450C22×C1711yescharacteristic, complemented
1090#450C22×C1711yescharacteristic, complemented
1091#449C22×C1711yescharacteristic
1092#449C22×C1711yescharacteristic, complemented
1093#449C22×C1711yescharacteristic, complemented
1094#449C22×C1711yescharacteristic, complemented
1095#449C22×C1711yescharacteristic, complemented
1096#449C22×C1711yescharacteristic, complemented
1097#449C22×C1711yescharacteristic, complemented
1098#448C22×C1711yescharacteristic, complemented
1099#448C22×C1711yescharacteristic, complemented
1100#448C22×C1711yescharacteristic, complemented
1101#447C22×C1711yescharacteristic, complemented
1102#442C22×C1711yescharacteristic, complemented
1103#441C22×C1711yescharacteristic, complemented
1104#441C22×C1711yescharacteristic, complemented
1105#441C22×C1711yescharacteristic, complemented
1106#440C22×C1711yescharacteristic, complemented
1107#440C22×C1711yescharacteristic, complemented
1108#440C22×C1711yescharacteristic, complemented
1109#440C22×C1711yescharacteristic, complemented
1110#435C22×C1711yescharacteristic
1111#435C22×C1711yescharacteristic
1112#435C22×C1711yescharacteristic, complemented
1113#435C22×C1711yescharacteristic, complemented
1114#435C22×C1711yescharacteristic, complemented
1115#435C22×C1711yescharacteristic, complemented
1116#435C22×C1711yescharacteristic, complemented
1117#435C22×C1711yescharacteristic, complemented
1118#432C22×C1711yescharacteristic, complemented
1119#432C22×C1711yescharacteristic, complemented
1120#419C22×C1711yescharacteristic, complemented
1121#418C22×C1711yescharacteristic, complemented
1122#417C22×C1711yescharacteristic, complemented
1123#417C22×C1711yescharacteristic, complemented
1124#416C22×C1711yescharacteristic, complemented
1125#416C22×C1711yescharacteristic, complemented
1126C2×#103C22×C1711yescharacteristic, complemented
1127C2×#102C22×C1711yescharacteristic, complemented
1128#407C22×C1711yescharacteristic, complemented
1129#407C22×C1711yescharacteristic, complemented
1130C2×C22⋊C8C22×C1711yescharacteristic, complemented
1131C2×C22⋊C8C22×C1711yescharacteristic, complemented
1132C2×C17—22no—
1133C2×C17—41no—
1134C2×C17—41no—
1135C2×C17—41no—
1136C2×C17—41no—
1137C2×C17—42no—
1138C2×C17—81no—
1139C2×C17—81no—
1140C2×C17—81no—
1141C2×C17#348411yescharacteristic
1142C2×C17C2×#57511yescharacteristic
1143C2×C17#358611yescharacteristic
1144C2×#41—21no—
1145C2×#41—21no—
1146C2×#41—21no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—42no—
1150C2×#41—42no—
1151C2×#41—42no—
1152C2×#41—42no—
1153C2×#41C23×C1711yescharacteristic
1154C2×#41C23×C1711yescharacteristic
1155C2×#41C23×C1711yescharacteristic
1156C2×#41C23×C1711yescharacteristic
1157C2×#41C23×C1711yescharacteristic
1158C2×#41C23×C1711yescharacteristic
1159C2×#41C23×C1711yescharacteristic
1160C2×#41C23×C1711yescharacteristic
1161C2×#41C23×C1711yescharacteristic
1162C22×Q8C23×C1711yescharacteristic
1163C22×Q8C23×C1711yescharacteristic
1164C22×Q8C23×C1711yescharacteristic
1165C22×Q8C23×C1711yescharacteristic
1166C22×D4—21no—
1167C22×D4—21no—
1168C22×D4—21no—
1169C22×D4D4×C1711yescharacteristic
1170C22×D4C23×C1711yescharacteristic
1171C22×D4C23×C1711yescharacteristic
1172C23×C4—21no—
1173C23×C4—21no—
1174C23×C4C23×C1711yescharacteristic
1175C23×C4C23×C1711yescharacteristic
1176#137—42no—
1177#137—42no—
1178#137—42no—
1179AGL(1,ℤ/8)—42no—
1180#135—42no—
1181#135—42no—
1182C2×Q16—42no—
1183C2×Q16C23×C1711yescharacteristic
1184C2×Q16C23×C1711yescharacteristic
1185C2×Q16C23×C1711yescharacteristic
1186C2×Q16C23×C1711yescharacteristic
1187C2×Q16C23×C1711yescharacteristic
1188C2×Q16C23×C1711yescharacteristic
1189C2×Q16C23×C1711yescharacteristic
1190C2×Q16C23×C1711yescharacteristic
1191C2×Q16C23×C1711yescharacteristic
1192C2×SD16—42no—
1193C2×SD16C23×C1711yescharacteristic
1194C2×SD16C23×C1711yescharacteristic
1195C2×SD16C23×C1711yescharacteristic
1196C2×SD16C23×C1711yescharacteristic
1197C2×SD16C23×C1711yescharacteristic
1198C2×SD16C23×C1711yescharacteristic
1199C2×SD16C23×C1711yescharacteristic
1200C2×SD16C23×C1711yescharacteristic
1201C2×SD16C23×C1711yescharacteristic
1202C2×SD16C23×C1711yescharacteristic
1203C2×SD16C23×C1711yescharacteristic
1204C2×SD16C23×C1711yescharacteristic
1205C2×D8C23×C1711yescharacteristic
1206C2×D8C23×C1711yescharacteristic
1207C2×D8C23×C1711yescharacteristic
1208C2×M16C23×C1711yescharacteristic
1209C2×M16C23×C1711yescharacteristic
1210C2×M16C23×C1711yescharacteristic
1211C2×M16C23×C1711yescharacteristic
1212C22×C8C23×C1711yescharacteristic
1213C22×C8C23×C1711yescharacteristic
1214C22×C8C23×C1711yescharacteristic
1215C22×C8C23×C1711yescharacteristic
1216C4⋊Q8—21no—
1217C4⋊Q8—21no—
1218C4⋊Q8C23×C1711yescharacteristic
1219C4⋊Q8C23×C1711yescharacteristic
1220C4⋊Q8C23×C1711yescharacteristic
1221#127—21no—
1222#127C23×C1711yescharacteristic
1223#126—21no—
1224#126—21no—
1225#126—21no—
1226#126—21no—
1227#126—21no—
1228#125—21no—
1229#125—21no—
1230#125—21no—
1231#125C23×C1711yescharacteristic
1232#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124C23×C1711yescharacteristic
1238#124C23×C1711yescharacteristic
1239#124C23×C1711yescharacteristic
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8C23×C1711yescharacteristic
1270C22⋊Q8C23×C1711yescharacteristic
1271C22⋊Q8C23×C1711yescharacteristic
1272C22⋊Q8C23×C1711yescharacteristic
1273C22⋊Q8C23×C1711yescharacteristic
1274C22⋊Q8C23×C1711yescharacteristic
1275C22⋊Q8C23×C1711yescharacteristic
1276C22⋊Q8C23×C1711yescharacteristic
1277C22⋊Q8C23×C1711yescharacteristic
1278C22⋊Q8C23×C1711yescharacteristic
1279C22⋊Q8C23×C1711yescharacteristic
1280C22⋊Q8C23×C1711yescharacteristic
1281C22⋊Q8C23×C1711yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121C23×C1711yescharacteristic
1296#121C23×C1711yescharacteristic
1297#121C23×C1711yescharacteristic
1298#121C23×C1711yescharacteristic
1299#121C23×C1711yescharacteristic
1300#121C23×C1711yescharacteristic
1301#121C23×C1711yescharacteristic
1302#120—21no—
1303#120—21no—
1304#120—21no—
1305#120—21no—
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120—21no—
1310C4×Q8—21no—
1311C4×Q8—21no—
1312C4×Q8C23×C1711yescharacteristic
1313C4×Q8C23×C1711yescharacteristic
1314C4×Q8C23×C1711yescharacteristic
1315C4×Q8C23×C1711yescharacteristic
1316C4×Q8C23×C1711yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4D4×C1711yescharacteristic
1338C4×D4D4×C1711yescharacteristic
1339C4×D4D4×C1711yescharacteristic
1340C4×D4D4×C1711yescharacteristic
1341C4×D4C23×C1711yescharacteristic
1342C4×D4C23×C1711yescharacteristic
1343C4×D4C23×C1711yescharacteristic
1344C4×D4C23×C1711yescharacteristic
1345C4×D4C23×C1711yescharacteristic
1346C4×D4C23×C1711yescharacteristic
1347C4×D4C23×C1711yescharacteristic
1348#117—21no—
1349#117—21no—
1350#117—21no—
1351#117—21no—
1352#117—21no—
1353#117C23×C1711yescharacteristic
1354#117C23×C1711yescharacteristic
1355#117C23×C1711yescharacteristic
1356C2×C4⋊C4—21no—
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4—21no—
1359C2×C4⋊C4—21no—
1360C2×C4⋊C4D4×C1711yescharacteristic
1361C2×C4⋊C4C23×C1711yescharacteristic
1362C2×C4⋊C4C23×C1711yescharacteristic
1363C2×C22⋊C4—21no—
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—21no—
1366C2×C22⋊C4—21no—
1367C2×C22⋊C4D4×C1711yescharacteristic
1368C2×C22⋊C4D4×C1711yescharacteristic
1369C2×C42—21no—
1370C2×C42C23×C1711yescharacteristic
1371#107C23×C1711yescharacteristic
1372#107C23×C1711yescharacteristic
1373#107C23×C1711yescharacteristic
1374#107C23×C1711yescharacteristic
1375#106C23×C1711yescharacteristic
1376#106C23×C1711yescharacteristic
1377#106C23×C1711yescharacteristic
1378#106C23×C1711yescharacteristic
1379C4⋊C8C23×C1711yescharacteristic
1380C4⋊C8C23×C1711yescharacteristic
1381C4⋊C8C23×C1711yescharacteristic
1382C4⋊C8C23×C1711yescharacteristic
1383#103C23×C1711yescharacteristic
1384#103C23×C1711yescharacteristic
1385#103C23×C1711yescharacteristic
1386#103C23×C1711yescharacteristic
1387#103C23×C1711yescharacteristic
1388#103C23×C1711yescharacteristic
1389#103C23×C1711yescharacteristic
1390#103C23×C1711yescharacteristic
1391#103C23×C1711yescharacteristic
1392#103C23×C1711yescharacteristic
1393#103C23×C1711yescharacteristic
1394#103C23×C1711yescharacteristic
1395#103C23×C1711yescharacteristic
1396#103C23×C1711yescharacteristic
1397#103C23×C1711yescharacteristic
1398#103C23×C1711yescharacteristic
1399#103C23×C1711yescharacteristic
1400#103C23×C1711yescharacteristic
1401#102C23×C1711yescharacteristic
1402#102C23×C1711yescharacteristic
1403#102C23×C1711yescharacteristic
1404#102C23×C1711yescharacteristic
1405#102C23×C1711yescharacteristic
1406#102C23×C1711yescharacteristic
1407#102C23×C1711yescharacteristic
1408#102C23×C1711yescharacteristic
1409#102C23×C1711yescharacteristic
1410#102C23×C1711yescharacteristic
1411#102C23×C1711yescharacteristic
1412#102C23×C1711yescharacteristic
1413#102C23×C1711yescharacteristic
1414#102C23×C1711yescharacteristic
1415C22⋊C8C23×C1711yescharacteristic
1416C22⋊C8C23×C1711yescharacteristic
1417C22⋊C8C23×C1711yescharacteristic
1418C22⋊C8C23×C1711yescharacteristic
1419C22⋊C8C23×C1711yescharacteristic
1420C22⋊C8C23×C1711yescharacteristic
1421C22⋊C8C23×C1711yescharacteristic
1422C22⋊C8C23×C1711yescharacteristic
1423C22⋊C8C23×C1711yescharacteristic
1424C22⋊C8C23×C1711yescharacteristic
1425C22⋊C8C23×C1711yescharacteristic
1426C22⋊C8C23×C1711yescharacteristic
1427#97C23×C1711yescharacteristic
1428#97C23×C1711yescharacteristic
1429#97C23×C1711yescharacteristic
1430#97C23×C1711yescharacteristic
1431C17#6158011yescharacteristic, direct product factor, Sylow
1432C24—21no—
1433C24—21no—
1434C24C2×D4×C1711yescharacteristic
1435C24C2×D4×C1711yescharacteristic
1436#41—22no—
1437#41—22no—
1438#41—22no—
1439#41—22no—
1440#41—22no—
1441#41—22no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—44no—
1451#41—44no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—44no—
1457#41—44no—
1458#41—44no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—21no—
1462C2×Q8—21no—
1463C2×Q8—21no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8C24×C1711yescharacteristic
1473C2×Q8C24×C1711yescharacteristic
1474C2×Q8C24×C1711yescharacteristic
1475C2×Q8C24×C1711yescharacteristic
1476C2×Q8C24×C1711yescharacteristic
1477C2×Q8C24×C1711yescharacteristic
1478C2×D4—21no—
1479C2×D4—22no—
1480C2×D4—22no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—42no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4C2×D4×C1711yescharacteristic
1507C2×D4C2×D4×C1711yescharacteristic
1508C2×D4C2×D4×C1711yescharacteristic
1509C2×D4C2×D4×C1711yescharacteristic
1510C2×D4C24×C1711yescharacteristic
1511C2×D4C24×C1711yescharacteristic
1512C2×D4C24×C1711yescharacteristic
1513C2×D4C24×C1711yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—41no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—41no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4C2×D4×C1711yescharacteristic
1539C22×C4C2×D4×C1711yescharacteristic
1540C22×C4C2×D4×C1711yescharacteristic
1541C22×C4C2×D4×C1711yescharacteristic
1542C22×C4C2×D4×C1711yescharacteristic
1543C22×C4C2×D4×C1711yescharacteristic
1544C22×C4C2×D4×C1711yescharacteristic
1545C22×C4C2×D4×C1711yescharacteristic
1546C22×C4C24×C1711yescharacteristic
1547C22×C4C24×C1711yescharacteristic
1548C22×C4C24×C1711yescharacteristic
1549C22×C4C24×C1711yescharacteristic
1550C22×C4C24×C1711yescharacteristic
1551Q16—22no—
1552Q16—22no—
1553Q16—22no—
1554Q16—41no—
1555Q16—41no—
1556Q16—41no—
1557Q16—41no—
1558Q16—41no—
1559Q16—41no—
1560SD16—22no—
1561SD16—22no—
1562SD16—22no—
1563SD16—22no—
1564SD16—41no—
1565SD16—41no—
1566SD16—41no—
1567SD16—41no—
1568SD16—41no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572D8—22no—
1573D8—41no—
1574D8—41no—
1575M16—41no—
1576M16—41no—
1577M16—41no—
1578M16—41no—
1579C2×C8—41no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—41no—
1583C2×C8C24×C1711yescharacteristic
1584C2×C8C24×C1711yescharacteristic
1585C2×C8C24×C1711yescharacteristic
1586C2×C8C24×C1711yescharacteristic
1587C2×C8C24×C1711yescharacteristic
1588C2×C8C24×C1711yescharacteristic
1589C2×C8C24×C1711yescharacteristic
1590C2×C8C24×C1711yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4C2×D4×C1711yescharacteristic
1619C4⋊C4C2×D4×C1711yescharacteristic
1620C4⋊C4C2×D4×C1711yescharacteristic
1621C4⋊C4C2×D4×C1711yescharacteristic
1622C4⋊C4C24×C1711yescharacteristic
1623C4⋊C4C24×C1711yescharacteristic
1624C4⋊C4C24×C1711yescharacteristic
1625C4⋊C4C24×C1711yescharacteristic
1626C4⋊C4C24×C1711yescharacteristic
1627C4⋊C4C24×C1711yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊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⋊C4C2×D4×C1711yescharacteristic
1661C22⋊C4C2×D4×C1711yescharacteristic
1662C22⋊C4C2×D4×C1711yescharacteristic
1663C22⋊C4C2×D4×C1711yescharacteristic
1664C22⋊C4C2×D4×C1711yescharacteristic
1665C22⋊C4C2×D4×C1711yescharacteristic
1666C22⋊C4C2×D4×C1711yescharacteristic
1667C22⋊C4C2×D4×C1711yescharacteristic
1668C42—21no—
1669C42—21no—
1670C42—21no—
1671C42—21no—
1672C42—21no—
1673C42—21no—
1674C42—21no—
1675C42—21no—
1676C42C2×D4×C1711yescharacteristic
1677C42C2×D4×C1711yescharacteristic
1678C42C24×C1711yescharacteristic
1679C42C24×C1711yescharacteristic
1680C23—21no—
1681C23—22no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—42no—
1691C23—42no—
1692C23—42no—
1693C23—42no—
1694C23—81no—
1695C23—81no—
1696C23C22×D4×C1711yescharacteristic
1697C23C22×D4×C1711yescharacteristic
1698C23C22×D4×C1711yescharacteristic
1699C23C22×D4×C1711yescharacteristic
1700C23C22×D4×C1711yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—42no—
1713Q8—42no—
1714Q8—42no—
1715Q8—81no—
1716Q8—81no—
1717Q8C17×H(5,𝔽2)12yes—
1718D4—24no—
1719D4—22no—
1720D4—22no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—41no—
1729D4—41no—
1730D4—42no—
1731D4—42no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4C17×H(5,𝔽2)12yes—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—42no—
1786C2×C4—42no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4C22×D4×C1711yescharacteristic
1799C2×C4C22×D4×C1711yescharacteristic
1800C2×C4C22×D4×C1711yescharacteristic
1801C2×C4C22×D4×C1711yescharacteristic
1802C2×C4C22×D4×C1711yescharacteristic
1803C2×C4C22×D4×C1711yescharacteristic
1804C2×C4C22×D4×C1711yescharacteristic
1805C2×C4C22×D4×C1711yescharacteristic
1806C2×C4C22×D4×C1711yescharacteristic
1807C2×C4C25×C1711yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—22no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—82no—
1843C22—84no—
1844C22—82no—
1845C22—84no—
1846C22C17×#57512yes—
1847C22C23×D4×C1711yescharacteristic
1848C4—21no—
1849C4—22no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4C2×C17×H(5,𝔽2)11yescharacteristic
1870C4C2×C17×H(5,𝔽2)11yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—41no—
1874C2—41no—
1875C2—41no—
1876C2—42no—
1877C2—81no—
1878C2—81no—
1879C2—81no—
1880C2C17×#348411yescharacteristic
1881C2C2×C17×#57511yescharacteristic
1882C2C17×#358611yescharacteristic
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×#3520C2semidirect
2. D4×#41×C17C2semidirect
3. C17×#3317C2semidirect
4. C17×#3315C2semidirect
5. C17×#3313C2semidirect
6. C17×#3312C2semidirect
7. C17×#3311C2semidirect
8. C17×#3310C2semidirect
9. C17×#3308C2semidirect
10. C17×#3306C2semidirect
11. C17×#3271C2semidirect
12. C17×#3270C2semidirect
13. C17×#3270C2semidirect
14. C17×#3269C2semidirect
15. C17×#3269C2semidirect
16. C17×#3267C2semidirect
17. C17×#3266C2semidirect
18. C17×#3265C2semidirect
19. C17×#3219C2semidirect
20. C17×#3216C2semidirect
21. C17×#3197C2semidirect
22. C17×#3196C2semidirect
23. C17×#3191C2semidirect
24. C17×#3190C2semidirect
25. C17×#3116C2semidirect
26. C17×#3111C2semidirect
27. C17×#3007C2semidirect
28. C17×#3005C2semidirect
29. C17×#3002C2semidirect
30. C2×C17×#452C2semidirect
31. C17×#2973C2semidirect
34. C2×C17×#137C22semidirect
35. C2×C17×#137C22semidirect
36. C2×C17×#137C22semidirect
37. C2×C17×AGL(1,ℤ/8)C22semidirect
38. C2×C17×#135C22semidirect
39. C2×C17×#135C22semidirect
40. C22×Q16×C17C22semidirect
41. C22×SD16×C17C22semidirect
42. C17×#556C22semidirect
45. C17×#552C22semidirect
50. D4×Q8×C17C22semidirect
54. C17×#548C22semidirect
57. C17×#547C22semidirect
58. C17×#547C22semidirect
69. C17×#533C22semidirect
72. C17×#529C22semidirect
77. C17×#525C22semidirect
78. C17×#525C22semidirect
79. C2×C17×C22⋊Q8C22semidirect
80. C2×C17×C22⋊Q8C22semidirect
85. C17×#497C22semidirect
86. C17×#497C22semidirect
87. C17×#497C22semidirect
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×#485C22semidirect
97. C17×#485C22semidirect
98. C17×#484C22semidirect
99. C17×#483C22semidirect
100. C17×#482C22semidirect
101. C17×#482C22semidirect
102. C17×#482C22semidirect
103. C17×#481C22semidirect
104. C17×#480C22semidirect
105. C17×#479C22semidirect
106. C17×#478C22semidirect
107. C17×#477C22semidirect
108. C17×#476C22semidirect
109. C17×#470C22semidirect
110. C17×#470C22semidirect
111. C17×#470C22semidirect
112. C17×#469C22semidirect
113. C17×#468C22semidirect
114. C17×#468C22semidirect
115. C17×#468C22semidirect
116. C17×#468C22semidirect
117. C17×#467C22semidirect
118. C17×#467C22semidirect
119. C17×#467C22semidirect
120. C17×#466C22semidirect
121. C17×#465C22semidirect
122. C17×#465C22semidirect
123. C17×#465C22semidirect
124. C17×#465C22semidirect
125. C17×#464C22semidirect
126. C17×#464C22semidirect
127. C17×#464C22semidirect
128. C17×#463C22semidirect
129. C17×#463C22semidirect
130. C17×#463C22semidirect
131. C17×#462C22semidirect
132. C17×#462C22semidirect
133. C17×#462C22semidirect
134. C17×#461C22semidirect
135. C17×#460C22semidirect
136. C17×#460C22semidirect
140. C17×#452C22semidirect
141. C17×#452C22semidirect
142. C17×#452C22semidirect
143. C17×#452C22semidirect
144. C17×#452C22semidirect
145. C17×#452C22semidirect
146. C17×#452C22semidirect
147. C17×#452C22semidirect
148. C17×#452C22semidirect
149. C17×#452C22semidirect
150. C17×#452C22semidirect
151. C17×#452C22semidirect
152. C17×#452C22semidirect
153. C17×#452C22semidirect
154. C17×#451C22semidirect
155. C17×#451C22semidirect
156. C17×#451C22semidirect
157. C17×#451C22semidirect
158. C17×#451C22semidirect
159. C17×#450C22semidirect
160. C17×#450C22semidirect
161. C17×#450C22semidirect
163. C17×#449C22semidirect
164. C17×#449C22semidirect
165. C17×#449C22semidirect
166. C17×#449C22semidirect
167. C17×#449C22semidirect
168. C17×#449C22semidirect
169. C17×#448C22semidirect
170. C17×#448C22semidirect
171. C17×#448C22semidirect
172. C17×#447C22semidirect
173. C17×#442C22semidirect
174. C17×#441C22semidirect
175. C17×#441C22semidirect
176. C17×#441C22semidirect
177. C17×#440C22semidirect
178. C17×#440C22semidirect
179. C17×#440C22semidirect
180. C17×#440C22semidirect
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
738. #61580C17direct (N × H)
875. #3520C2×C17semidirect
876. D4×#41C2×C17semidirect
877. #3317C2×C17semidirect
878. #3315C2×C17semidirect
879. #3313C2×C17semidirect
880. #3312C2×C17semidirect
881. #3311C2×C17semidirect
882. #3310C2×C17semidirect
883. #3308C2×C17semidirect
884. #3306C2×C17semidirect
885. #3271C2×C17semidirect
886. #3270C2×C17semidirect
887. #3270C2×C17semidirect
888. #3269C2×C17semidirect
889. #3269C2×C17semidirect
890. #3267C2×C17semidirect
891. #3266C2×C17semidirect
892. #3265C2×C17semidirect
893. #3219C2×C17semidirect
894. #3216C2×C17semidirect
895. #3197C2×C17semidirect
896. #3196C2×C17semidirect
897. #3191C2×C17semidirect
898. #3190C2×C17semidirect
899. #3116C2×C17semidirect
900. #3111C2×C17semidirect
901. #3007C2×C17semidirect
902. #3005C2×C17semidirect
903. #3002C2×C17semidirect
904. C2×#452C2×C17semidirect
905. #2973C2×C17semidirect
963. C2×#137C22×C17semidirect
964. C2×#137C22×C17semidirect
965. C2×#137C22×C17semidirect
966. C2×AGL(1,ℤ/8)C22×C17semidirect
967. C2×#135C22×C17semidirect
968. C2×#135C22×C17semidirect
969. C22×Q16C22×C17semidirect
970. C22×SD16C22×C17semidirect
971. #556C22×C17semidirect
974. #552C22×C17semidirect
979. D4×Q8C22×C17semidirect
983. #548C22×C17semidirect
986. #547C22×C17semidirect
987. #547C22×C17semidirect
998. #533C22×C17semidirect
1001. #529C22×C17semidirect
1006. #525C22×C17semidirect
1007. #525C22×C17semidirect
1008. C2×C22⋊Q8C22×C17semidirect
1009. C2×C22⋊Q8C22×C17semidirect
1014. #497C22×C17semidirect
1015. #497C22×C17semidirect
1016. #497C22×C17semidirect
1017. #496C22×C17semidirect
1018. #491C22×C17semidirect
1019. #490C22×C17semidirect
1020. #489C22×C17semidirect
1021. #489C22×C17semidirect
1022. #485C22×C17semidirect
1023. #485C22×C17semidirect
1024. #485C22×C17semidirect
1025. #485C22×C17semidirect
1026. #485C22×C17semidirect
1027. #484C22×C17semidirect
1028. #483C22×C17semidirect
1029. #482C22×C17semidirect
1030. #482C22×C17semidirect
1031. #482C22×C17semidirect
1032. #481C22×C17semidirect
1033. #480C22×C17semidirect
1034. #479C22×C17semidirect
1035. #478C22×C17semidirect
1036. #477C22×C17semidirect
1037. #476C22×C17semidirect
1038. #470C22×C17semidirect
1039. #470C22×C17semidirect
1040. #470C22×C17semidirect
1041. #469C22×C17semidirect
1042. #468C22×C17semidirect
1043. #468C22×C17semidirect
1044. #468C22×C17semidirect
1045. #468C22×C17semidirect
1046. #467C22×C17semidirect
1047. #467C22×C17semidirect
1048. #467C22×C17semidirect
1049. #466C22×C17semidirect
1050. #465C22×C17semidirect
1051. #465C22×C17semidirect
1052. #465C22×C17semidirect
1053. #465C22×C17semidirect
1054. #464C22×C17semidirect
1055. #464C22×C17semidirect
1056. #464C22×C17semidirect
1057. #463C22×C17semidirect
1058. #463C22×C17semidirect
1059. #463C22×C17semidirect
1060. #462C22×C17semidirect
1061. #462C22×C17semidirect
1062. #462C22×C17semidirect
1063. #461C22×C17semidirect
1064. #460C22×C17semidirect
1065. #460C22×C17semidirect
1069. #452C22×C17semidirect
1070. #452C22×C17semidirect
1071. #452C22×C17semidirect
1072. #452C22×C17semidirect
1073. #452C22×C17semidirect
1074. #452C22×C17semidirect
1075. #452C22×C17semidirect
1076. #452C22×C17semidirect
1077. #452C22×C17semidirect
1078. #452C22×C17semidirect
1079. #452C22×C17semidirect
1080. #452C22×C17semidirect
1081. #452C22×C17semidirect
1082. #452C22×C17semidirect
1083. #451C22×C17semidirect
1084. #451C22×C17semidirect
1085. #451C22×C17semidirect
1086. #451C22×C17semidirect
1087. #451C22×C17semidirect
1088. #450C22×C17semidirect
1089. #450C22×C17semidirect
1090. #450C22×C17semidirect
1092. #449C22×C17semidirect
1093. #449C22×C17semidirect
1094. #449C22×C17semidirect
1095. #449C22×C17semidirect
1096. #449C22×C17semidirect
1097. #449C22×C17semidirect
1098. #448C22×C17semidirect
1099. #448C22×C17semidirect
1100. #448C22×C17semidirect
1101. #447C22×C17semidirect
1102. #442C22×C17semidirect
1103. #441C22×C17semidirect
1104. #441C22×C17semidirect
1105. #441C22×C17semidirect
1106. #440C22×C17semidirect
1107. #440C22×C17semidirect
1108. #440C22×C17semidirect
1109. #440C22×C17semidirect
1112. #435C22×C17semidirect
1113. #435C22×C17semidirect
1114. #435C22×C17semidirect
1115. #435C22×C17semidirect
1116. #435C22×C17semidirect
1117. #435C22×C17semidirect
1118. #432C22×C17semidirect
1119. #432C22×C17semidirect
1120. #419C22×C17semidirect
1121. #418C22×C17semidirect
1122. #417C22×C17semidirect
1123. #417C22×C17semidirect
1124. #416C22×C17semidirect
1125. #416C22×C17semidirect
1126. C2×#103C22×C17semidirect
1127. C2×#102C22×C17semidirect
1128. #407C22×C17semidirect
1129. #407C22×C17semidirect
1130. C2×C22⋊C8C22×C17semidirect
1131. C2×C22⋊C8C22×C17semidirect
1431. C17#61580direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#35202
D4×#41×C172
C17×#33172
C17×#33152
C17×#33132
C17×#33122
C17×#33112
C17×#33102
C17×#33082
C17×#33062
C17×#32712
C17×#32702
C17×#32692
C17×#32672
C17×#32662
C17×#32652
C17×#32192
C17×#32162
C17×#31972
C17×#31962
C17×#31912
C17×#31902
C17×#31162
C17×#31112
C17×#30072
C17×#30052
C17×#30022
C2×C17×#4522
C17×#29732
#6158017