Finite Group Databasebeta

← C17×#61521 #16919265

Subgroups — C17×#61521 #16919265

Order 4352.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3519C211yesmaximal, characteristic, complemented
2C17×#3516C211yesmaximal, characteristic, complemented
3C17×#3397C211yesmaximal, characteristic, complemented
4C17×#3388C211yesmaximal, characteristic, complemented
5C17×#3376C211yesmaximal, characteristic, complemented
6C17×#3368C211yesmaximal, characteristic, complemented
7C17×#3348C211yesmaximal, characteristic, complemented
8C17×#3346C211yesmaximal, characteristic, complemented
9C17×#3339C211yesmaximal, characteristic, complemented
10C17×#3321C211yesmaximal, characteristic, complemented
11C17×#3320C211yesmaximal, characteristic, complemented
12C17×#3318C211yesmaximal, characteristic, complemented
13C17×#3310C211yesmaximal, characteristic, complemented
14C17×#3301C211yesmaximal, characteristic, complemented
15C17×#3295C211yesmaximal, characteristic, complemented
16D4×SD16×C17C211yesmaximal, characteristic, complemented
17C17×#3265C211yesmaximal, characteristic, complemented
18C17×#3265C211yesmaximal, characteristic, complemented
19C17×#3180C211yesmaximal, characteristic, complemented
20C17×#3179C211yesmaximal, characteristic, complemented
21C17×#3174C211yesmaximal, characteristic, complemented
22C17×#3126C211yesmaximal, characteristic, complemented
23C17×#3123C211yesmaximal, characteristic, complemented
24C17×#3119C211yesmaximal, characteristic, complemented
25C17×#3118C211yesmaximal, characteristic, complemented
26C17×#3105C211yesmaximal, characteristic, complemented
27C17×#3103C211yesmaximal, characteristic, complemented
28C17×#2968C211yesmaximal, characteristic, complemented
29C17×#2949C211yesmaximal, characteristic, complemented
30C17×#2946C211yesmaximal, characteristic, complemented
31C2×C17×#440C211yesmaximal, characteristic, complemented
32C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
33C22×SD16×C17C2211yescharacteristic
34C22×SD16×C17C2211yescharacteristic
35C17×#557C2211yescharacteristic, complemented
36C17×#556—21no—
37C17×#556C2211yescharacteristic, complemented
38C17×#555C2211yescharacteristic
39C17×#554—21no—
40C17×#554C2211yescharacteristic
41C17×#554C2211yescharacteristic, complemented
42C17×#553—21no—
43C17×#553—21no—
44C17×#553C2211yescharacteristic
45C17×#553C2211yescharacteristic
46C17×#553C2211yescharacteristic, complemented
47C17×#552—21no—
48C17×#552C2211yescharacteristic, complemented
49C17×#550C2211yescharacteristic
50D4×Q8×C17C2211yescharacteristic, complemented
51C17×#548C2211yescharacteristic, complemented
52C17×#548C2211yescharacteristic, complemented
53C17×#546—21no—
54C17×#546—21no—
55C17×#546—21no—
56D42×C17C2211yescharacteristic
57D42×C17C2211yescharacteristic
58D42×C17C2211yescharacteristic
59C17×#542—21no—
60C17×#542C2211yescharacteristic, complemented
61C17×#541—21no—
62C17×#541C2211yescharacteristic, complemented
63C17×#540C2211yescharacteristic
64C17×#540C2211yescharacteristic
65C17×#538—21no—
66C17×#538—21no—
67C17×#532C2211yescharacteristic
68C17×#529—21no—
69C17×#529—21no—
70C17×#529C2211yescharacteristic
71C17×#529C2211yescharacteristic, complemented
72C17×#525—21no—
73C2×C17×#121—21no—
74C17×#520C2211yescharacteristic, complemented
75C17×#519C2211yescharacteristic, complemented
76C17×#518C2211yescharacteristic
77C17×#518C2211yescharacteristic
78C2×C4×Q8×C17C2211yescharacteristic, complemented
79C2×C4×D4×C17C2211yescharacteristic
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#496C2211yescharacteristic, complemented
84C17×#496C2211yescharacteristic, complemented
85C17×#492C2211yescharacteristic, complemented
86C17×#491C2211yescharacteristic, complemented
87C17×#490C2211yescharacteristic, complemented
88C17×#490C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#484C2211yescharacteristic, complemented
96C17×#482C2211yescharacteristic, complemented
97C17×#482C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic, complemented
99C17×#481C2211yescharacteristic, complemented
100C17×#481C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic, complemented
102C17×#481C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic
108C17×#478C2211yescharacteristic
109C17×#478C2211yescharacteristic, complemented
110C17×#478C2211yescharacteristic, complemented
111C17×#478C2211yescharacteristic, complemented
112C17×#476C2211yescharacteristic
113C17×#475C2211yescharacteristic, complemented
114C17×#475C2211yescharacteristic, complemented
115C17×#474C2211yescharacteristic, complemented
116C17×#469C2211yescharacteristic, complemented
117C17×#468C2211yescharacteristic, complemented
118C17×#468C2211yescharacteristic, complemented
119C17×#468C2211yescharacteristic, complemented
120C17×#466C2211yescharacteristic, complemented
121C17×#466C2211yescharacteristic, complemented
122C17×#466C2211yescharacteristic, complemented
123C17×#465C2211yescharacteristic, complemented
124C17×#465C2211yescharacteristic, complemented
125C17×#465C2211yescharacteristic, complemented
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#463C2211yescharacteristic
129C17×#463C2211yescharacteristic
130C17×#463C2211yescharacteristic, complemented
131C17×#463C2211yescharacteristic, complemented
132C17×#461C2211yescharacteristic
133C17×#461C2211yescharacteristic, complemented
134C17×#460C2211yescharacteristic, complemented
135C17×#460C2211yescharacteristic, complemented
136C17×#460C2211yescharacteristic, complemented
137C17×#460C2211yescharacteristic, complemented
138C17×#460C2211yescharacteristic, complemented
139C17×#459C2211yescharacteristic, complemented
140C17×#450C2211yescharacteristic
141C17×#450C2211yescharacteristic
142C17×#450C2211yescharacteristic
143C17×#450C2211yescharacteristic
144C17×#449C2211yescharacteristic, complemented
145C17×#449C2211yescharacteristic, complemented
146C17×#448C2211yescharacteristic, complemented
147C17×#448C2211yescharacteristic, complemented
148C17×#448C2211yescharacteristic, complemented
149C17×#448C2211yescharacteristic, complemented
150C17×#447C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic, complemented
156C17×#442C2211yescharacteristic, complemented
157C17×#440C2211yescharacteristic
158C17×#440C2211yescharacteristic
159C17×#440C2211yescharacteristic
160C17×#440C2211yescharacteristic
161C17×#440C2211yescharacteristic
162C17×#440C2211yescharacteristic, complemented
163C17×#440C2211yescharacteristic, complemented
164C17×#440C2211yescharacteristic, complemented
165C17×#440C2211yescharacteristic, complemented
166C17×#440C2211yescharacteristic, complemented
167C17×#440C2211yescharacteristic, complemented
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, complemented
170C4×SD16×C17C2211yescharacteristic
171C4×SD16×C17C2211yescharacteristic
172C4×SD16×C17C2211yescharacteristic
173C4×SD16×C17C2211yescharacteristic, complemented
174C4×SD16×C17C2211yescharacteristic, complemented
175C4×SD16×C17C2211yescharacteristic, complemented
176C4×SD16×C17C2211yescharacteristic, complemented
177C4×SD16×C17C2211yescharacteristic, complemented
178C4×SD16×C17C2211yescharacteristic, complemented
179C4×D8×C17C2211yescharacteristic
180C4×D8×C17C2211yescharacteristic, complemented
181C4×D8×C17C2211yescharacteristic, complemented
182C17×#435C2211yescharacteristic, complemented
183C17×#435C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C8×D4×C17C2211yescharacteristic, complemented
187C8×D4×C17C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#431C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C17×#427C2211yescharacteristic, complemented
193C2×C17×#107C2211yescharacteristic, complemented
194C17×#419C2211yescharacteristic, complemented
195C17×#418C2211yescharacteristic
196C17×#416C2211yescharacteristic, complemented
197C2×C17×#103C2211yescharacteristic, complemented
198C2×C17×#102C2211yescharacteristic
199C2×C17×#102C2211yescharacteristic
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C2×C17×#97C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17—21no—
205C2×#41×C17C2311yescharacteristic
206C22×Q8×C17C2311yescharacteristic
207C22×Q8×C17C2311yescharacteristic
208C22×D4×C17—21no—
209C22×D4×C17—21no—
210C22×D4×C17—21no—
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C22×D4×C17C2311yescharacteristic
214C23×C4×C17—21no—
215C17×AGL(1,ℤ/8)—24no—
216C2×SD16×C17—24no—
217C2×SD16×C17—24no—
218C2×SD16×C17C2311yescharacteristic
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×SD16×C17C2311yescharacteristic
226C2×SD16×C17C2311yescharacteristic
227C2×SD16×C17C2311yescharacteristic
228C2×SD16×C17C2311yescharacteristic
229C2×SD16×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×D8×C17C2311yescharacteristic
232C2×D8×C17C2311yescharacteristic
233C2×D8×C17C2311yescharacteristic
234C2×M16×C17C2311yescharacteristic
235C2×M16×C17C2311yescharacteristic
236C22×C8×C17C2311yescharacteristic
237C22×C8×C17C2311yescharacteristic
238C22×C8×C17C2311yescharacteristic
239C22×C8×C17C2311yescharacteristic
240C17×C4⋊Q8—21no—
241C17×C4⋊Q8—21no—
242C17×C4⋊Q8C2311yescharacteristic
243C17×C4⋊Q8C2311yescharacteristic
244C17×C4⋊Q8C2311yescharacteristic
245C17×#127C2311yescharacteristic
246C17×#127C2311yescharacteristic
247C17×#127C2311yescharacteristic
248C17×#126—21no—
249C17×#126—21no—
250C17×#126—21no—
251C17×#126—21no—
252C17×#126—21no—
253C17×#126—21no—
254C17×#126—21no—
255C17×#126—21no—
256C17×#126—21no—
257C17×#126—21no—
258C17×#126D411yescharacteristic
259C17×#126D411yescharacteristic
260C17×#125—21no—
261C17×#125—21no—
262C17×#125—21no—
263C17×#125—21no—
264C17×#125—21no—
265C17×#125—21no—
266C17×#125D411yescharacteristic
267C17×#125C2311yescharacteristic
268C17×#125C2311yescharacteristic
269C17×#125C2311yescharacteristic
270C17×#125C2311yescharacteristic
271C17×#124—21no—
272C17×#124—21no—
273C17×#124—21no—
274C17×#124—21no—
275C17×#124—21no—
276C17×#124—21no—
277C17×#124D411yescharacteristic
278C17×#124C2311yescharacteristic
279C17×#124C2311yescharacteristic
280C17×#123—21no—
281C17×#123—21no—
282C17×#123—21no—
283C17×#123—21no—
284C17×#123—21no—
285C17×#123—21no—
286C17×#123—21no—
287C17×#123—21no—
288C17×#123—21no—
289C17×#123—21no—
290C17×#123D411yescharacteristic
291C17×#123D411yescharacteristic
292C17×C22⋊Q8—21no—
293C17×C22⋊Q8—21no—
294C17×C22⋊Q8—21no—
295C17×C22⋊Q8—21no—
296C17×C22⋊Q8—21no—
297C17×C22⋊Q8—21no—
298C17×C22⋊Q8—21no—
299C17×C22⋊Q8—21no—
300C17×C22⋊Q8—21no—
301C17×C22⋊Q8—21no—
302C17×C22⋊Q8—21no—
303C17×C22⋊Q8D411yescharacteristic
304C17×C22⋊Q8C2311yescharacteristic
305C17×C22⋊Q8C2311yescharacteristic
306C17×C22⋊Q8C2311yescharacteristic
307C17×C22⋊Q8C2311yescharacteristic
308C17×#121—21no—
309C17×#121—21no—
310C17×#121—21no—
311C17×#121—21no—
312C17×#121—21no—
313C17×#121—21no—
314C17×#121—21no—
315C17×#121—21no—
316C17×#121—21no—
317C17×#121—21no—
318C17×#121—21no—
319C17×#121—21no—
320C17×#121—21no—
321C17×#121—21no—
322C17×#121—21no—
323C17×#121—21no—
324C17×#121—21no—
325C17×#121D411yescharacteristic
326C17×#121C2311yescharacteristic
327C17×#121C2311yescharacteristic
328C17×#121C2311yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#121C2311yescharacteristic
332C17×#121C2311yescharacteristic
333C17×#121C2311yescharacteristic
334C17×#120—21no—
335C17×#120—21no—
336C17×#120—21no—
337C17×#120—21no—
338C17×#120—21no—
339C17×#120—21no—
340C4×Q8×C17—21no—
341C4×Q8×C17—21no—
342C4×Q8×C17—21no—
343C4×Q8×C17—21no—
344C4×Q8×C17—21no—
345C4×Q8×C17C2311yescharacteristic
346C4×Q8×C17C2311yescharacteristic
347C4×Q8×C17C2311yescharacteristic
348C4×Q8×C17C2311yescharacteristic
349C4×Q8×C17C2311yescharacteristic
350C4×Q8×C17C2311yescharacteristic
351C4×Q8×C17C2311yescharacteristic
352C4×Q8×C17C2311yescharacteristic
353C4×Q8×C17C2311yescharacteristic
354C4×D4×C17—21no—
355C4×D4×C17—21no—
356C4×D4×C17—21no—
357C4×D4×C17—21no—
358C4×D4×C17—21no—
359C4×D4×C17—21no—
360C4×D4×C17—21no—
361C4×D4×C17—21no—
362C4×D4×C17—21no—
363C4×D4×C17—21no—
364C4×D4×C17—21no—
365C4×D4×C17—21no—
366C4×D4×C17—21no—
367C4×D4×C17—21no—
368C4×D4×C17—21no—
369C4×D4×C17—21no—
370C4×D4×C17—21no—
371C4×D4×C17C2311yescharacteristic
372C4×D4×C17C2311yescharacteristic
373C4×D4×C17C2311yescharacteristic
374C4×D4×C17C2311yescharacteristic
375C4×D4×C17C2311yescharacteristic
376C4×D4×C17C2311yescharacteristic
377C4×D4×C17C2311yescharacteristic
378C4×D4×C17C2311yescharacteristic
379C4×D4×C17C2311yescharacteristic
380C4×D4×C17C2311yescharacteristic
381C4×D4×C17C2311yescharacteristic
382C4×D4×C17C2311yescharacteristic
383C4×D4×C17C2311yescharacteristic
384C4×D4×C17C2311yescharacteristic
385C4×D4×C17C2311yescharacteristic
386C17×#117—21no—
387C17×#117—21no—
388C17×#117—21no—
389C17×#117—21no—
390C17×#117—21no—
391C17×#117—21no—
392C17×#117—21no—
393C17×#117C2311yescharacteristic
394C17×#117C2311yescharacteristic
395C17×#117C2311yescharacteristic
396C17×#117C2311yescharacteristic
397C17×#117C2311yescharacteristic
398C2×C4⋊C4×C17—21no—
399C2×C4⋊C4×C17—21no—
400C2×C4⋊C4×C17—21no—
401C2×C4⋊C4×C17C2311yescharacteristic
402C2×C4⋊C4×C17C2311yescharacteristic
403C2×C4⋊C4×C17C2311yescharacteristic
404C2×C22⋊C4×C17—21no—
405C2×C22⋊C4×C17—21no—
406C2×C22⋊C4×C17—21no—
407C2×C22⋊C4×C17—21no—
408C2×C22⋊C4×C17—21no—
409C2×C42×C17—21no—
410C2×C42×C17C2311yescharacteristic
411C17×#107C2311yescharacteristic
412C17×#107C2311yescharacteristic
413C17×#107C2311yescharacteristic
414C17×#107C2311yescharacteristic
415C17×#107C2311yescharacteristic
416C17×#107C2311yescharacteristic
417C17×#107C2311yescharacteristic
418C17×#107C2311yescharacteristic
419C17×#106C2311yescharacteristic
420C17×#106C2311yescharacteristic
421C17×#106C2311yescharacteristic
422C17×#106C2311yescharacteristic
423C17×#106C2311yescharacteristic
424C17×#106C2311yescharacteristic
425C17×#106C2311yescharacteristic
426C17×#106C2311yescharacteristic
427C17×C4⋊C8C2311yescharacteristic
428C17×C4⋊C8C2311yescharacteristic
429C17×C4⋊C8C2311yescharacteristic
430C17×C4⋊C8C2311yescharacteristic
431C17×C4⋊C8C2311yescharacteristic
432C17×C4⋊C8C2311yescharacteristic
433C17×#103C2311yescharacteristic
434C17×#103C2311yescharacteristic
435C17×#103C2311yescharacteristic
436C17×#103C2311yescharacteristic
437C17×#103C2311yescharacteristic
438C17×#103C2311yescharacteristic
439C17×#103C2311yescharacteristic
440C17×#103C2311yescharacteristic
441C17×#103C2311yescharacteristic
442C17×#103C2311yescharacteristic
443C17×#103C2311yescharacteristic
444C17×#103C2311yescharacteristic
445C17×#102C2311yescharacteristic
446C17×#102C2311yescharacteristic
447C17×#102C2311yescharacteristic
448C17×#102C2311yescharacteristic
449C17×#102C2311yescharacteristic
450C17×#102C2311yescharacteristic
451C17×#102C2311yescharacteristic
452C17×#102C2311yescharacteristic
453C17×#102C2311yescharacteristic
454C17×#102C2311yescharacteristic
455C17×#102C2311yescharacteristic
456C17×#102C2311yescharacteristic
457C17×#102C2311yescharacteristic
458C17×#102C2311yescharacteristic
459C17×#102C2311yescharacteristic
460C17×#102C2311yescharacteristic
461C17×#102C2311yescharacteristic
462C17×#102C2311yescharacteristic
463C17×#102C2311yescharacteristic
464C17×#102C2311yescharacteristic
465C17×C22⋊C8C2311yescharacteristic
466C17×C22⋊C8C2311yescharacteristic
467C17×C22⋊C8C2311yescharacteristic
468C17×C22⋊C8C2311yescharacteristic
469C17×C22⋊C8C2311yescharacteristic
470C17×C22⋊C8C2311yescharacteristic
471C17×#97C2311yescharacteristic
472C17×#97C2311yescharacteristic
473C17×#97C2311yescharacteristic
474C17×#97C2311yescharacteristic
475C17×#97C2311yescharacteristic
476C17×#97C2311yescharacteristic
477C4×C8×C17C2311yescharacteristic
478C4×C8×C17C2311yescharacteristic
479C4×C8×C17C2311yescharacteristic
480C4×C8×C17C2311yescharacteristic
481C24×C17—21no—
482C24×C17—21no—
483C24×C17—21no—
484#41×C17—22no—
485#41×C17—41no—
486#41×C17—82no—
487#41×C17—82no—
488C2×Q8×C17—21no—
489C2×Q8×C17—21no—
490C2×Q8×C17—21no—
491C2×Q8×C17—21no—
492C2×Q8×C17—22no—
493C2×Q8×C17—22no—
494C2×Q8×C17—41no—
495C2×Q8×C17—41no—
496C2×Q8×C17C2×D411yescharacteristic
497C2×Q8×C17C2411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×Q8×C17C2411yescharacteristic
500C2×D4×C17—22no—
501C2×D4×C17—22no—
502C2×D4×C17—22no—
503C2×D4×C17—21no—
504C2×D4×C17—21no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—21no—
508C2×D4×C17—21no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—21no—
514C2×D4×C17—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—21no—
518C2×D4×C17—21no—
519C2×D4×C17—21no—
520C2×D4×C17—21no—
521C2×D4×C17—41no—
522C2×D4×C17—41no—
523C2×D4×C17—41no—
524C2×D4×C17—82no—
525C2×D4×C17—82no—
526C2×D4×C17—82no—
527C2×D4×C17C2×D411yescharacteristic
528C2×D4×C17C2×D411yescharacteristic
529C2×D4×C17C2×D411yescharacteristic
530C2×D4×C17C2411yescharacteristic
531C2×D4×C17C2411yescharacteristic
532C2×D4×C17C2411yescharacteristic
533C2×D4×C17C2411yescharacteristic
534C2×D4×C17C2411yescharacteristic
535C22×C4×C17—21no—
536C22×C4×C17—21no—
537C22×C4×C17—21no—
538C22×C4×C17—21no—
539C22×C4×C17—21no—
540C22×C4×C17—21no—
541C22×C4×C17—21no—
542C22×C4×C17—21no—
543C22×C4×C17—21no—
544C22×C4×C17—21no—
545C22×C4×C17—21no—
546C22×C4×C17—21no—
547C22×C4×C17—21no—
548C22×C4×C17—21no—
549C22×C4×C17—21no—
550C22×C4×C17—21no—
551C22×C4×C17—21no—
552C22×C4×C17—21no—
553C22×C4×C17—82no—
554C22×C4×C17C2×D411yescharacteristic
555C22×C4×C17C2×D411yescharacteristic
556C22×C4×C17C2411yescharacteristic
557C22×C4×C17C2411yescharacteristic
558C22×C4×C17C2411yescharacteristic
559SD16×C17—22no—
560SD16×C17—22no—
561SD16×C17—22no—
562SD16×C17—22no—
563SD16×C17—22no—
564SD16×C17—22no—
565SD16×C17—22no—
566SD16×C17—41no—
567SD16×C17—41no—
568SD16×C17—41no—
569SD16×C17—41no—
570SD16×C17#4114yescomplemented
571D8×C17—22no—
572D8×C17—22no—
573D8×C17—41no—
574D8×C17—41no—
575M16×C17—22no—
576M16×C17—41no—
577C2×C8×C17—22no—
578C2×C8×C17—22no—
579C2×C8×C17—41no—
580C2×C8×C17—41no—
581C2×C8×C17C2411yescharacteristic
582C2×C8×C17C2411yescharacteristic
583C2×C8×C17C2411yescharacteristic
584C2×C8×C17C2411yescharacteristic
585C2×C8×C17C2411yescharacteristic
586C2×C8×C17C2411yescharacteristic
587C2×C8×C17C2411yescharacteristic
588C2×C8×C17C2411yescharacteristic
589C4⋊C4×C17—21no—
590C4⋊C4×C17—21no—
591C4⋊C4×C17—21no—
592C4⋊C4×C17—21no—
593C4⋊C4×C17—21no—
594C4⋊C4×C17—21no—
595C4⋊C4×C17—21no—
596C4⋊C4×C17—21no—
597C4⋊C4×C17—21no—
598C4⋊C4×C17—21no—
599C4⋊C4×C17—21no—
600C4⋊C4×C17—21no—
601C4⋊C4×C17—21no—
602C4⋊C4×C17—21no—
603C4⋊C4×C17—21no—
604C4⋊C4×C17—21no—
605C4⋊C4×C17—21no—
606C4⋊C4×C17—21no—
607C4⋊C4×C17—21no—
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17—21no—
614C4⋊C4×C17—21no—
615C4⋊C4×C17—21no—
616C4⋊C4×C17C2×D411yescharacteristic
617C4⋊C4×C17C2×D411yescharacteristic
618C4⋊C4×C17C2×D411yescharacteristic
619C4⋊C4×C17C2×D411yescharacteristic
620C4⋊C4×C17C2×D411yescharacteristic
621C4⋊C4×C17C2×D411yescharacteristic
622C4⋊C4×C17C2×D411yescharacteristic
623C4⋊C4×C17C2×D411yescharacteristic
624C4⋊C4×C17C2×D411yescharacteristic
625C4⋊C4×C17C2×D411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C4⋊C4×C17C2411yescharacteristic
628C4⋊C4×C17C2411yescharacteristic
629C4⋊C4×C17C2411yescharacteristic
630C4⋊C4×C17C2411yescharacteristic
631C4⋊C4×C17C2411yescharacteristic
632C4⋊C4×C17C2411yescharacteristic
633C4⋊C4×C17C2411yescharacteristic
634C22⋊C4×C17—21no—
635C22⋊C4×C17—21no—
636C22⋊C4×C17—21no—
637C22⋊C4×C17—21no—
638C22⋊C4×C17—21no—
639C22⋊C4×C17—21no—
640C22⋊C4×C17—21no—
641C22⋊C4×C17—21no—
642C22⋊C4×C17—21no—
643C22⋊C4×C17—21no—
644C22⋊C4×C17—21no—
645C22⋊C4×C17—21no—
646C22⋊C4×C17—21no—
647C22⋊C4×C17—21no—
648C22⋊C4×C17—21no—
649C22⋊C4×C17—21no—
650C22⋊C4×C17—21no—
651C22⋊C4×C17—21no—
652C22⋊C4×C17—21no—
653C22⋊C4×C17—21no—
654C22⋊C4×C17—21no—
655C22⋊C4×C17—21no—
656C22⋊C4×C17—21no—
657C22⋊C4×C17—21no—
658C22⋊C4×C17—21no—
659C22⋊C4×C17—21no—
660C22⋊C4×C17—21no—
661C22⋊C4×C17—21no—
662C22⋊C4×C17—21no—
663C22⋊C4×C17—21no—
664C22⋊C4×C17—21no—
665C22⋊C4×C17C2×D411yescharacteristic
666C22⋊C4×C17C2×D411yescharacteristic
667C22⋊C4×C17C2×D411yescharacteristic
668C22⋊C4×C17C2×D411yescharacteristic
669C22⋊C4×C17C2×D411yescharacteristic
670C22⋊C4×C17C2×D411yescharacteristic
671C22⋊C4×C17C2×D411yescharacteristic
672C22⋊C4×C17C2×D411yescharacteristic
673C22⋊C4×C17C2×D411yescharacteristic
674C22⋊C4×C17C2×D411yescharacteristic
675C42×C17—21no—
676C42×C17—21no—
677C42×C17—21no—
678C42×C17—21no—
679C42×C17—21no—
680C42×C17—21no—
681C42×C17—21no—
682C42×C17—21no—
683C42×C17—21no—
684C42×C17—21no—
685C42×C17—21no—
686C42×C17C2×D411yescharacteristic
687C42×C17C2×D411yescharacteristic
688C42×C17C2411yescharacteristic
689C42×C17C2411yescharacteristic
690C42×C17C2411yescharacteristic
691C42×C17C2411yescharacteristic
692#61521C1711yesmaximal, characteristic, direct product factor, Sylow
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—21no—
696C23×C17—21no—
697C23×C17—21no—
698C23×C17—42no—
699C23×C17—42no—
700C23×C17—42no—
701C23×C17—42no—
702C23×C17—81no—
703C23×C17—81no—
704C23×C17—81no—
705C23×C17—81no—
706C23×C17—81no—
707C23×C17C22×D411yescharacteristic
708C23×C17C22×D411yescharacteristic
709C23×C17C22×D411yescharacteristic
710Q8×C17—21no—
711Q8×C17—21no—
712Q8×C17—21no—
713Q8×C17—21no—
714Q8×C17—21no—
715Q8×C17—41no—
716Q8×C17—42no—
717Q8×C17—42no—
718Q8×C17—81no—
719Q8×C17—81no—
720Q8×C17C2×#4112yes—
721D4×C17—22no—
722D4×C17—22no—
723D4×C17—21no—
724D4×C17—21no—
725D4×C17—21no—
726D4×C17—21no—
727D4×C17—21no—
728D4×C17—21no—
729D4×C17—21no—
730D4×C17—21no—
731D4×C17—21no—
732D4×C17—41no—
733D4×C17—42no—
734D4×C17—42no—
735D4×C17—42no—
736D4×C17—42no—
737D4×C17—42no—
738D4×C17—42no—
739D4×C17—42no—
740D4×C17—42no—
741D4×C17—81no—
742D4×C17—81no—
743D4×C17—81no—
744D4×C17—81no—
745D4×C17—81no—
746D4×C17—81no—
747D4×C17—81no—
748D4×C17—81no—
749D4×C17—81no—
750D4×C17—81no—
751D4×C17C2×#4112yes—
752C2×C4×C17—22no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—41no—
771C2×C4×C17—42no—
772C2×C4×C17—42no—
773C2×C4×C17—42no—
774C2×C4×C17—42no—
775C2×C4×C17—42no—
776C2×C4×C17—81no—
777C2×C4×C17—81no—
778C2×C4×C17—81no—
779C2×C4×C17—81no—
780C2×C4×C17—81no—
781C2×C4×C17—81no—
782C2×C4×C17—81no—
783C2×C4×C17—81no—
784C2×C4×C17—81no—
785C2×C4×C17—81no—
786C2×C4×C17—81no—
787C2×C4×C17—81no—
788C2×C4×C17—81no—
789C2×C4×C17C22×D411yescharacteristic
790C2×C4×C17C22×D411yescharacteristic
791C2×C4×C17C22×D411yescharacteristic
792C2×C4×C17C22×D411yescharacteristic
793C2×C4×C17C22×D411yescharacteristic
794C2×C4×C17C22×D411yescharacteristic
795C2×C4×C17C22×D411yescharacteristic
796C2×C4×C17C22×D411yescharacteristic
797C2×C4×C17C22×D411yescharacteristic
798C2×C4×C17C22×D411yescharacteristic
799C2×C4×C17C22×D411yescharacteristic
800C2×C4×C17C2511yescharacteristic
801C8×C17—21no—
802C8×C17—21no—
803C8×C17—21no—
804C8×C17—21no—
805C8×C17—21no—
806C8×C17—21no—
807C8×C17—21no—
808C8×C17C2×#4112yes—
809#3519C2×C1711yescharacteristic, complemented
810#3516C2×C1711yescharacteristic, complemented
811#3397C2×C1711yescharacteristic, complemented
812#3388C2×C1711yescharacteristic, complemented
813#3376C2×C1711yescharacteristic, complemented
814#3368C2×C1711yescharacteristic, complemented
815#3348C2×C1711yescharacteristic, complemented
816#3346C2×C1711yescharacteristic, complemented
817#3339C2×C1711yescharacteristic, complemented
818#3321C2×C1711yescharacteristic, complemented
819#3320C2×C1711yescharacteristic, complemented
820#3318C2×C1711yescharacteristic, complemented
821#3310C2×C1711yescharacteristic, complemented
822#3301C2×C1711yescharacteristic, complemented
823#3295C2×C1711yescharacteristic, complemented
824D4×SD16C2×C1711yescharacteristic, complemented
825#3265C2×C1711yescharacteristic, complemented
826#3265C2×C1711yescharacteristic, complemented
827#3180C2×C1711yescharacteristic, complemented
828#3179C2×C1711yescharacteristic, complemented
829#3174C2×C1711yescharacteristic, complemented
830#3126C2×C1711yescharacteristic, complemented
831#3123C2×C1711yescharacteristic, complemented
832#3119C2×C1711yescharacteristic, complemented
833#3118C2×C1711yescharacteristic, complemented
834#3105C2×C1711yescharacteristic, complemented
835#3103C2×C1711yescharacteristic, complemented
836#2968C2×C1711yescharacteristic, complemented
837#2949C2×C1711yescharacteristic, complemented
838#2946C2×C1711yescharacteristic, complemented
839C2×#440C2×C1711yescharacteristic, complemented
840C22×C17—21no—
841C22×C17—21no—
842C22×C17—21no—
843C22×C17—21no—
844C22×C17—21no—
845C22×C17—21no—
846C22×C17—22no—
847C22×C17—21no—
848C22×C17—21no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—41no—
863C22×C17—84no—
864C22×C17—162no—
865C22×C17—162no—
866C22×C17#57712yes—
867C22×C17C23×D411yescharacteristic
868C4×C17—21no—
869C4×C17—21no—
870C4×C17—21no—
871C4×C17—21no—
872C4×C17—21no—
873C4×C17—21no—
874C4×C17—21no—
875C4×C17—22no—
876C4×C17—21no—
877C4×C17—21no—
878C4×C17—21no—
879C4×C17—21no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17C22×#4111yescharacteristic
891C4×C17#58511yescharacteristic
892C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
893C22×SD16C22×C1711yescharacteristic
894C22×SD16C22×C1711yescharacteristic
895#557C22×C1711yescharacteristic, complemented
896#556—21no—
897#556C22×C1711yescharacteristic, complemented
898#555C22×C1711yescharacteristic
899#554—21no—
900#554C22×C1711yescharacteristic
901#554C22×C1711yescharacteristic, complemented
902#553—21no—
903#553—21no—
904#553C22×C1711yescharacteristic
905#553C22×C1711yescharacteristic
906#553C22×C1711yescharacteristic, complemented
907#552—21no—
908#552C22×C1711yescharacteristic, complemented
909#550C22×C1711yescharacteristic
910D4×Q8C22×C1711yescharacteristic, complemented
911#548C22×C1711yescharacteristic, complemented
912#548C22×C1711yescharacteristic, complemented
913#546—21no—
914#546—21no—
915#546—21no—
916D42C22×C1711yescharacteristic
917D42C22×C1711yescharacteristic
918D42C22×C1711yescharacteristic
919#542—21no—
920#542C22×C1711yescharacteristic, complemented
921#541—21no—
922#541C22×C1711yescharacteristic, complemented
923#540C22×C1711yescharacteristic
924#540C22×C1711yescharacteristic
925#538—21no—
926#538—21no—
927#532C22×C1711yescharacteristic
928#529—21no—
929#529—21no—
930#529C22×C1711yescharacteristic
931#529C22×C1711yescharacteristic, complemented
932#525—21no—
933C2×#121—21no—
934#520C22×C1711yescharacteristic, complemented
935#519C22×C1711yescharacteristic, complemented
936#518C22×C1711yescharacteristic
937#518C22×C1711yescharacteristic
938C2×C4×Q8C22×C1711yescharacteristic, complemented
939C2×C4×D4C22×C1711yescharacteristic
940#501C22×C1711yescharacteristic, complemented
941#501C22×C1711yescharacteristic, complemented
942#499C22×C1711yescharacteristic, complemented
943#496C22×C1711yescharacteristic, complemented
944#496C22×C1711yescharacteristic, complemented
945#492C22×C1711yescharacteristic, complemented
946#491C22×C1711yescharacteristic, complemented
947#490C22×C1711yescharacteristic, complemented
948#490C22×C1711yescharacteristic, complemented
949#489C22×C1711yescharacteristic, complemented
950#488C22×C1711yescharacteristic, complemented
951#486C22×C1711yescharacteristic, complemented
952#485C22×C1711yescharacteristic, complemented
953#485C22×C1711yescharacteristic, complemented
954#485C22×C1711yescharacteristic, complemented
955#484C22×C1711yescharacteristic, complemented
956#482C22×C1711yescharacteristic, complemented
957#482C22×C1711yescharacteristic, complemented
958#482C22×C1711yescharacteristic, complemented
959#481C22×C1711yescharacteristic, complemented
960#481C22×C1711yescharacteristic, complemented
961#481C22×C1711yescharacteristic, complemented
962#481C22×C1711yescharacteristic, complemented
963#480C22×C1711yescharacteristic, complemented
964#479C22×C1711yescharacteristic, complemented
965#479C22×C1711yescharacteristic, complemented
966#479C22×C1711yescharacteristic, complemented
967#478C22×C1711yescharacteristic
968#478C22×C1711yescharacteristic
969#478C22×C1711yescharacteristic, complemented
970#478C22×C1711yescharacteristic, complemented
971#478C22×C1711yescharacteristic, complemented
972#476C22×C1711yescharacteristic
973#475C22×C1711yescharacteristic, complemented
974#475C22×C1711yescharacteristic, complemented
975#474C22×C1711yescharacteristic, complemented
976#469C22×C1711yescharacteristic, complemented
977#468C22×C1711yescharacteristic, complemented
978#468C22×C1711yescharacteristic, complemented
979#468C22×C1711yescharacteristic, complemented
980#466C22×C1711yescharacteristic, complemented
981#466C22×C1711yescharacteristic, complemented
982#466C22×C1711yescharacteristic, complemented
983#465C22×C1711yescharacteristic, complemented
984#465C22×C1711yescharacteristic, complemented
985#465C22×C1711yescharacteristic, complemented
986#465C22×C1711yescharacteristic, complemented
987#465C22×C1711yescharacteristic, complemented
988#463C22×C1711yescharacteristic
989#463C22×C1711yescharacteristic
990#463C22×C1711yescharacteristic, complemented
991#463C22×C1711yescharacteristic, complemented
992#461C22×C1711yescharacteristic
993#461C22×C1711yescharacteristic, complemented
994#460C22×C1711yescharacteristic, complemented
995#460C22×C1711yescharacteristic, complemented
996#460C22×C1711yescharacteristic, complemented
997#460C22×C1711yescharacteristic, complemented
998#460C22×C1711yescharacteristic, complemented
999#459C22×C1711yescharacteristic, complemented
1000#450C22×C1711yescharacteristic
1001#450C22×C1711yescharacteristic
1002#450C22×C1711yescharacteristic
1003#450C22×C1711yescharacteristic
1004#449C22×C1711yescharacteristic, complemented
1005#449C22×C1711yescharacteristic, complemented
1006#448C22×C1711yescharacteristic, complemented
1007#448C22×C1711yescharacteristic, complemented
1008#448C22×C1711yescharacteristic, complemented
1009#448C22×C1711yescharacteristic, complemented
1010#447C22×C1711yescharacteristic
1011#447C22×C1711yescharacteristic
1012#446C22×C1711yescharacteristic, complemented
1013#446C22×C1711yescharacteristic, complemented
1014#442C22×C1711yescharacteristic
1015#442C22×C1711yescharacteristic, complemented
1016#442C22×C1711yescharacteristic, complemented
1017#440C22×C1711yescharacteristic
1018#440C22×C1711yescharacteristic
1019#440C22×C1711yescharacteristic
1020#440C22×C1711yescharacteristic
1021#440C22×C1711yescharacteristic
1022#440C22×C1711yescharacteristic, complemented
1023#440C22×C1711yescharacteristic, complemented
1024#440C22×C1711yescharacteristic, complemented
1025#440C22×C1711yescharacteristic, complemented
1026#440C22×C1711yescharacteristic, complemented
1027#440C22×C1711yescharacteristic, complemented
1028#440C22×C1711yescharacteristic, complemented
1029#440C22×C1711yescharacteristic, complemented
1030C4×SD16C22×C1711yescharacteristic
1031C4×SD16C22×C1711yescharacteristic
1032C4×SD16C22×C1711yescharacteristic
1033C4×SD16C22×C1711yescharacteristic, complemented
1034C4×SD16C22×C1711yescharacteristic, complemented
1035C4×SD16C22×C1711yescharacteristic, complemented
1036C4×SD16C22×C1711yescharacteristic, complemented
1037C4×SD16C22×C1711yescharacteristic, complemented
1038C4×SD16C22×C1711yescharacteristic, complemented
1039C4×D8C22×C1711yescharacteristic
1040C4×D8C22×C1711yescharacteristic, complemented
1041C4×D8C22×C1711yescharacteristic, complemented
1042#435C22×C1711yescharacteristic, complemented
1043#435C22×C1711yescharacteristic, complemented
1044#435C22×C1711yescharacteristic, complemented
1045#435C22×C1711yescharacteristic, complemented
1046C8×D4C22×C1711yescharacteristic, complemented
1047C8×D4C22×C1711yescharacteristic, complemented
1048#433C22×C1711yescharacteristic, complemented
1049#433C22×C1711yescharacteristic, complemented
1050#431C22×C1711yescharacteristic, complemented
1051#428C22×C1711yescharacteristic, complemented
1052#427C22×C1711yescharacteristic, complemented
1053C2×#107C22×C1711yescharacteristic, complemented
1054#419C22×C1711yescharacteristic, complemented
1055#418C22×C1711yescharacteristic
1056#416C22×C1711yescharacteristic, complemented
1057C2×#103C22×C1711yescharacteristic, complemented
1058C2×#102C22×C1711yescharacteristic
1059C2×#102C22×C1711yescharacteristic
1060#405C22×C1711yescharacteristic, complemented
1061#405C22×C1711yescharacteristic, complemented
1062C2×#97C22×C1711yescharacteristic, complemented
1063C2×C17—22no—
1064C2×C17—41no—
1065C2×C17—41no—
1066C2×C17—42no—
1067C2×C17—81no—
1068C2×C17—81no—
1069C2×C17—81no—
1070C2×C17—81no—
1071C2×C17D4×#4111yescharacteristic
1072C2×C17C2×#57711yescharacteristic
1073C2×C17#358511yescharacteristic
1074C2×#41—21no—
1075C2×#41—21no—
1076C2×#41C23×C1711yescharacteristic
1077C22×Q8C23×C1711yescharacteristic
1078C22×Q8C23×C1711yescharacteristic
1079C22×D4—21no—
1080C22×D4—21no—
1081C22×D4—21no—
1082C22×D4C23×C1711yescharacteristic
1083C22×D4C23×C1711yescharacteristic
1084C22×D4C23×C1711yescharacteristic
1085C23×C4—21no—
1086AGL(1,ℤ/8)—24no—
1087C2×SD16—24no—
1088C2×SD16—24no—
1089C2×SD16C23×C1711yescharacteristic
1090C2×SD16C23×C1711yescharacteristic
1091C2×SD16C23×C1711yescharacteristic
1092C2×SD16C23×C1711yescharacteristic
1093C2×SD16C23×C1711yescharacteristic
1094C2×SD16C23×C1711yescharacteristic
1095C2×SD16C23×C1711yescharacteristic
1096C2×SD16C23×C1711yescharacteristic
1097C2×SD16C23×C1711yescharacteristic
1098C2×SD16C23×C1711yescharacteristic
1099C2×SD16C23×C1711yescharacteristic
1100C2×SD16C23×C1711yescharacteristic
1101C2×D8C23×C1711yescharacteristic
1102C2×D8C23×C1711yescharacteristic
1103C2×D8C23×C1711yescharacteristic
1104C2×D8C23×C1711yescharacteristic
1105C2×M16C23×C1711yescharacteristic
1106C2×M16C23×C1711yescharacteristic
1107C22×C8C23×C1711yescharacteristic
1108C22×C8C23×C1711yescharacteristic
1109C22×C8C23×C1711yescharacteristic
1110C22×C8C23×C1711yescharacteristic
1111C4⋊Q8—21no—
1112C4⋊Q8—21no—
1113C4⋊Q8C23×C1711yescharacteristic
1114C4⋊Q8C23×C1711yescharacteristic
1115C4⋊Q8C23×C1711yescharacteristic
1116#127C23×C1711yescharacteristic
1117#127C23×C1711yescharacteristic
1118#127C23×C1711yescharacteristic
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126D4×C1711yescharacteristic
1130#126D4×C1711yescharacteristic
1131#125—21no—
1132#125—21no—
1133#125—21no—
1134#125—21no—
1135#125—21no—
1136#125—21no—
1137#125D4×C1711yescharacteristic
1138#125C23×C1711yescharacteristic
1139#125C23×C1711yescharacteristic
1140#125C23×C1711yescharacteristic
1141#125C23×C1711yescharacteristic
1142#124—21no—
1143#124—21no—
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124—21no—
1148#124D4×C1711yescharacteristic
1149#124C23×C1711yescharacteristic
1150#124C23×C1711yescharacteristic
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123D4×C1711yescharacteristic
1162#123D4×C1711yescharacteristic
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8D4×C1711yescharacteristic
1175C22⋊Q8C23×C1711yescharacteristic
1176C22⋊Q8C23×C1711yescharacteristic
1177C22⋊Q8C23×C1711yescharacteristic
1178C22⋊Q8C23×C1711yescharacteristic
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121D4×C1711yescharacteristic
1197#121C23×C1711yescharacteristic
1198#121C23×C1711yescharacteristic
1199#121C23×C1711yescharacteristic
1200#121C23×C1711yescharacteristic
1201#121C23×C1711yescharacteristic
1202#121C23×C1711yescharacteristic
1203#121C23×C1711yescharacteristic
1204#121C23×C1711yescharacteristic
1205#120—21no—
1206#120—21no—
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—21no—
1211C4×Q8—21no—
1212C4×Q8—21no—
1213C4×Q8—21no—
1214C4×Q8—21no—
1215C4×Q8—21no—
1216C4×Q8C23×C1711yescharacteristic
1217C4×Q8C23×C1711yescharacteristic
1218C4×Q8C23×C1711yescharacteristic
1219C4×Q8C23×C1711yescharacteristic
1220C4×Q8C23×C1711yescharacteristic
1221C4×Q8C23×C1711yescharacteristic
1222C4×Q8C23×C1711yescharacteristic
1223C4×Q8C23×C1711yescharacteristic
1224C4×Q8C23×C1711yescharacteristic
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4C23×C1711yescharacteristic
1243C4×D4C23×C1711yescharacteristic
1244C4×D4C23×C1711yescharacteristic
1245C4×D4C23×C1711yescharacteristic
1246C4×D4C23×C1711yescharacteristic
1247C4×D4C23×C1711yescharacteristic
1248C4×D4C23×C1711yescharacteristic
1249C4×D4C23×C1711yescharacteristic
1250C4×D4C23×C1711yescharacteristic
1251C4×D4C23×C1711yescharacteristic
1252C4×D4C23×C1711yescharacteristic
1253C4×D4C23×C1711yescharacteristic
1254C4×D4C23×C1711yescharacteristic
1255C4×D4C23×C1711yescharacteristic
1256C4×D4C23×C1711yescharacteristic
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117—21no—
1262#117—21no—
1263#117—21no—
1264#117C23×C1711yescharacteristic
1265#117C23×C1711yescharacteristic
1266#117C23×C1711yescharacteristic
1267#117C23×C1711yescharacteristic
1268#117C23×C1711yescharacteristic
1269C2×C4⋊C4—21no—
1270C2×C4⋊C4—21no—
1271C2×C4⋊C4—21no—
1272C2×C4⋊C4C23×C1711yescharacteristic
1273C2×C4⋊C4C23×C1711yescharacteristic
1274C2×C4⋊C4C23×C1711yescharacteristic
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C42—21no—
1281C2×C42C23×C1711yescharacteristic
1282#107C23×C1711yescharacteristic
1283#107C23×C1711yescharacteristic
1284#107C23×C1711yescharacteristic
1285#107C23×C1711yescharacteristic
1286#107C23×C1711yescharacteristic
1287#107C23×C1711yescharacteristic
1288#107C23×C1711yescharacteristic
1289#107C23×C1711yescharacteristic
1290#106C23×C1711yescharacteristic
1291#106C23×C1711yescharacteristic
1292#106C23×C1711yescharacteristic
1293#106C23×C1711yescharacteristic
1294#106C23×C1711yescharacteristic
1295#106C23×C1711yescharacteristic
1296#106C23×C1711yescharacteristic
1297#106C23×C1711yescharacteristic
1298C4⋊C8C23×C1711yescharacteristic
1299C4⋊C8C23×C1711yescharacteristic
1300C4⋊C8C23×C1711yescharacteristic
1301C4⋊C8C23×C1711yescharacteristic
1302C4⋊C8C23×C1711yescharacteristic
1303C4⋊C8C23×C1711yescharacteristic
1304#103C23×C1711yescharacteristic
1305#103C23×C1711yescharacteristic
1306#103C23×C1711yescharacteristic
1307#103C23×C1711yescharacteristic
1308#103C23×C1711yescharacteristic
1309#103C23×C1711yescharacteristic
1310#103C23×C1711yescharacteristic
1311#103C23×C1711yescharacteristic
1312#103C23×C1711yescharacteristic
1313#103C23×C1711yescharacteristic
1314#103C23×C1711yescharacteristic
1315#103C23×C1711yescharacteristic
1316#102C23×C1711yescharacteristic
1317#102C23×C1711yescharacteristic
1318#102C23×C1711yescharacteristic
1319#102C23×C1711yescharacteristic
1320#102C23×C1711yescharacteristic
1321#102C23×C1711yescharacteristic
1322#102C23×C1711yescharacteristic
1323#102C23×C1711yescharacteristic
1324#102C23×C1711yescharacteristic
1325#102C23×C1711yescharacteristic
1326#102C23×C1711yescharacteristic
1327#102C23×C1711yescharacteristic
1328#102C23×C1711yescharacteristic
1329#102C23×C1711yescharacteristic
1330#102C23×C1711yescharacteristic
1331#102C23×C1711yescharacteristic
1332#102C23×C1711yescharacteristic
1333#102C23×C1711yescharacteristic
1334#102C23×C1711yescharacteristic
1335#102C23×C1711yescharacteristic
1336C22⋊C8C23×C1711yescharacteristic
1337C22⋊C8C23×C1711yescharacteristic
1338C22⋊C8C23×C1711yescharacteristic
1339C22⋊C8C23×C1711yescharacteristic
1340C22⋊C8C23×C1711yescharacteristic
1341C22⋊C8C23×C1711yescharacteristic
1342#97C23×C1711yescharacteristic
1343#97C23×C1711yescharacteristic
1344#97C23×C1711yescharacteristic
1345#97C23×C1711yescharacteristic
1346#97C23×C1711yescharacteristic
1347#97C23×C1711yescharacteristic
1348C4×C8C23×C1711yescharacteristic
1349C4×C8C23×C1711yescharacteristic
1350C4×C8C23×C1711yescharacteristic
1351C4×C8C23×C1711yescharacteristic
1352C17#6152111yescharacteristic, direct product factor, Sylow
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356#41—22no—
1357#41—41no—
1358#41—82no—
1359#41—82no—
1360C2×Q8—21no—
1361C2×Q8—21no—
1362C2×Q8—21no—
1363C2×Q8—21no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—41no—
1367C2×Q8—41no—
1368C2×Q8C2×D4×C1711yescharacteristic
1369C2×Q8C24×C1711yescharacteristic
1370C2×Q8C24×C1711yescharacteristic
1371C2×Q8C24×C1711yescharacteristic
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—82no—
1397C2×D4—82no—
1398C2×D4—82no—
1399C2×D4C2×D4×C1711yescharacteristic
1400C2×D4C2×D4×C1711yescharacteristic
1401C2×D4C2×D4×C1711yescharacteristic
1402C2×D4C24×C1711yescharacteristic
1403C2×D4C24×C1711yescharacteristic
1404C2×D4C24×C1711yescharacteristic
1405C2×D4C24×C1711yescharacteristic
1406C2×D4C24×C1711yescharacteristic
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—82no—
1426C22×C4C2×D4×C1711yescharacteristic
1427C22×C4C2×D4×C1711yescharacteristic
1428C22×C4C24×C1711yescharacteristic
1429C22×C4C24×C1711yescharacteristic
1430C22×C4C24×C1711yescharacteristic
1431SD16—22no—
1432SD16—22no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16#41×C1714yescomplemented
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8—41no—
1447M16—22no—
1448M16—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C24×C1711yescharacteristic
1454C2×C8C24×C1711yescharacteristic
1455C2×C8C24×C1711yescharacteristic
1456C2×C8C24×C1711yescharacteristic
1457C2×C8C24×C1711yescharacteristic
1458C2×C8C24×C1711yescharacteristic
1459C2×C8C24×C1711yescharacteristic
1460C2×C8C24×C1711yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4C2×D4×C1711yescharacteristic
1489C4⋊C4C2×D4×C1711yescharacteristic
1490C4⋊C4C2×D4×C1711yescharacteristic
1491C4⋊C4C2×D4×C1711yescharacteristic
1492C4⋊C4C2×D4×C1711yescharacteristic
1493C4⋊C4C2×D4×C1711yescharacteristic
1494C4⋊C4C2×D4×C1711yescharacteristic
1495C4⋊C4C2×D4×C1711yescharacteristic
1496C4⋊C4C2×D4×C1711yescharacteristic
1497C4⋊C4C2×D4×C1711yescharacteristic
1498C4⋊C4C24×C1711yescharacteristic
1499C4⋊C4C24×C1711yescharacteristic
1500C4⋊C4C24×C1711yescharacteristic
1501C4⋊C4C24×C1711yescharacteristic
1502C4⋊C4C24×C1711yescharacteristic
1503C4⋊C4C24×C1711yescharacteristic
1504C4⋊C4C24×C1711yescharacteristic
1505C4⋊C4C24×C1711yescharacteristic
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4C2×D4×C1711yescharacteristic
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⋊C4C2×D4×C1711yescharacteristic
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42C2×D4×C1711yescharacteristic
1559C42C2×D4×C1711yescharacteristic
1560C42C24×C1711yescharacteristic
1561C42C24×C1711yescharacteristic
1562C42C24×C1711yescharacteristic
1563C42C24×C1711yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—42no—
1573C23—81no—
1574C23—81no—
1575C23—81no—
1576C23—81no—
1577C23—81no—
1578C23C22×D4×C1711yescharacteristic
1579C23C22×D4×C1711yescharacteristic
1580C23C22×D4×C1711yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—41no—
1587Q8—42no—
1588Q8—42no—
1589Q8—81no—
1590Q8—81no—
1591Q8C2×#41×C1712yes—
1592D4—22no—
1593D4—22no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—41no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4C2×#41×C1712yes—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—41no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4C22×D4×C1711yescharacteristic
1661C2×C4C22×D4×C1711yescharacteristic
1662C2×C4C22×D4×C1711yescharacteristic
1663C2×C4C22×D4×C1711yescharacteristic
1664C2×C4C22×D4×C1711yescharacteristic
1665C2×C4C22×D4×C1711yescharacteristic
1666C2×C4C22×D4×C1711yescharacteristic
1667C2×C4C22×D4×C1711yescharacteristic
1668C2×C4C22×D4×C1711yescharacteristic
1669C2×C4C22×D4×C1711yescharacteristic
1670C2×C4C22×D4×C1711yescharacteristic
1671C2×C4C25×C1711yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8C2×#41×C1712yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—84no—
1704C22—162no—
1705C22—162no—
1706C22C17×#57712yes—
1707C22C23×D4×C1711yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—22no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4C22×#41×C1711yescharacteristic
1731C4C17×#58511yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2D4×#41×C1711yescharacteristic
1741C2C2×C17×#57711yescharacteristic
1742C2C17×#358511yescharacteristic
subgroupG/H
center, socleC22×C17C23×D4
commutator, Frattini, cosocleC2×C4C25×C17
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C17 ◁ C17×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#3519C2semidirect
2. C17×#3516C2semidirect
3. C17×#3397C2semidirect
4. C17×#3388C2semidirect
5. C17×#3376C2semidirect
6. C17×#3368C2semidirect
7. C17×#3348C2semidirect
8. C17×#3346C2semidirect
9. C17×#3339C2semidirect
10. C17×#3321C2semidirect
11. C17×#3320C2semidirect
12. C17×#3318C2semidirect
13. C17×#3310C2semidirect
14. C17×#3301C2semidirect
15. C17×#3295C2semidirect
16. D4×SD16×C17C2semidirect
17. C17×#3265C2semidirect
18. C17×#3265C2semidirect
19. C17×#3180C2semidirect
20. C17×#3179C2semidirect
21. C17×#3174C2semidirect
22. C17×#3126C2semidirect
23. C17×#3123C2semidirect
24. C17×#3119C2semidirect
25. C17×#3118C2semidirect
26. C17×#3105C2semidirect
27. C17×#3103C2semidirect
28. C17×#2968C2semidirect
29. C17×#2949C2semidirect
30. C17×#2946C2semidirect
31. C2×C17×#440C2semidirect
35. C17×#557C22semidirect
37. C17×#556C22semidirect
41. C17×#554C22semidirect
46. C17×#553C22semidirect
48. C17×#552C22semidirect
50. D4×Q8×C17C22semidirect
51. C17×#548C22semidirect
52. C17×#548C22semidirect
60. C17×#542C22semidirect
62. C17×#541C22semidirect
71. C17×#529C22semidirect
74. C17×#520C22semidirect
75. C17×#519C22semidirect
78. C2×C4×Q8×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
83. C17×#496C22semidirect
84. C17×#496C22semidirect
85. C17×#492C22semidirect
86. C17×#491C22semidirect
87. C17×#490C22semidirect
88. C17×#490C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#484C22semidirect
96. C17×#482C22semidirect
97. C17×#482C22semidirect
98. C17×#482C22semidirect
99. C17×#481C22semidirect
100. C17×#481C22semidirect
101. C17×#481C22semidirect
102. C17×#481C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
109. C17×#478C22semidirect
110. C17×#478C22semidirect
111. C17×#478C22semidirect
113. C17×#475C22semidirect
114. C17×#475C22semidirect
115. C17×#474C22semidirect
116. C17×#469C22semidirect
117. C17×#468C22semidirect
118. C17×#468C22semidirect
119. C17×#468C22semidirect
120. C17×#466C22semidirect
121. C17×#466C22semidirect
122. C17×#466C22semidirect
123. C17×#465C22semidirect
124. C17×#465C22semidirect
125. C17×#465C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
130. C17×#463C22semidirect
131. C17×#463C22semidirect
133. C17×#461C22semidirect
134. C17×#460C22semidirect
135. C17×#460C22semidirect
136. C17×#460C22semidirect
137. C17×#460C22semidirect
138. C17×#460C22semidirect
139. C17×#459C22semidirect
144. C17×#449C22semidirect
145. C17×#449C22semidirect
146. C17×#448C22semidirect
147. C17×#448C22semidirect
148. C17×#448C22semidirect
149. C17×#448C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
155. C17×#442C22semidirect
156. C17×#442C22semidirect
162. C17×#440C22semidirect
163. C17×#440C22semidirect
164. C17×#440C22semidirect
165. C17×#440C22semidirect
166. C17×#440C22semidirect
167. C17×#440C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
173. C4×SD16×C17C22semidirect
174. C4×SD16×C17C22semidirect
175. C4×SD16×C17C22semidirect
176. C4×SD16×C17C22semidirect
177. C4×SD16×C17C22semidirect
178. C4×SD16×C17C22semidirect
180. C4×D8×C17C22semidirect
181. C4×D8×C17C22semidirect
182. C17×#435C22semidirect
183. C17×#435C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
186. C8×D4×C17C22semidirect
187. C8×D4×C17C22semidirect
188. C17×#433C22semidirect
189. C17×#433C22semidirect
190. C17×#431C22semidirect
191. C17×#428C22semidirect
192. C17×#427C22semidirect
193. C2×C17×#107C22semidirect
194. C17×#419C22semidirect
196. C17×#416C22semidirect
197. C2×C17×#103C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C2×C17×#97C22semidirect
570. SD16×C17#41semidirect
692. #61521C17direct (N × H)
809. #3519C2×C17semidirect
810. #3516C2×C17semidirect
811. #3397C2×C17semidirect
812. #3388C2×C17semidirect
813. #3376C2×C17semidirect
814. #3368C2×C17semidirect
815. #3348C2×C17semidirect
816. #3346C2×C17semidirect
817. #3339C2×C17semidirect
818. #3321C2×C17semidirect
819. #3320C2×C17semidirect
820. #3318C2×C17semidirect
821. #3310C2×C17semidirect
822. #3301C2×C17semidirect
823. #3295C2×C17semidirect
824. D4×SD16C2×C17semidirect
825. #3265C2×C17semidirect
826. #3265C2×C17semidirect
827. #3180C2×C17semidirect
828. #3179C2×C17semidirect
829. #3174C2×C17semidirect
830. #3126C2×C17semidirect
831. #3123C2×C17semidirect
832. #3119C2×C17semidirect
833. #3118C2×C17semidirect
834. #3105C2×C17semidirect
835. #3103C2×C17semidirect
836. #2968C2×C17semidirect
837. #2949C2×C17semidirect
838. #2946C2×C17semidirect
839. C2×#440C2×C17semidirect
895. #557C22×C17semidirect
897. #556C22×C17semidirect
901. #554C22×C17semidirect
906. #553C22×C17semidirect
908. #552C22×C17semidirect
910. D4×Q8C22×C17semidirect
911. #548C22×C17semidirect
912. #548C22×C17semidirect
920. #542C22×C17semidirect
922. #541C22×C17semidirect
931. #529C22×C17semidirect
934. #520C22×C17semidirect
935. #519C22×C17semidirect
938. C2×C4×Q8C22×C17semidirect
940. #501C22×C17semidirect
941. #501C22×C17semidirect
942. #499C22×C17semidirect
943. #496C22×C17semidirect
944. #496C22×C17semidirect
945. #492C22×C17semidirect
946. #491C22×C17semidirect
947. #490C22×C17semidirect
948. #490C22×C17semidirect
949. #489C22×C17semidirect
950. #488C22×C17semidirect
951. #486C22×C17semidirect
952. #485C22×C17semidirect
953. #485C22×C17semidirect
954. #485C22×C17semidirect
955. #484C22×C17semidirect
956. #482C22×C17semidirect
957. #482C22×C17semidirect
958. #482C22×C17semidirect
959. #481C22×C17semidirect
960. #481C22×C17semidirect
961. #481C22×C17semidirect
962. #481C22×C17semidirect
963. #480C22×C17semidirect
964. #479C22×C17semidirect
965. #479C22×C17semidirect
966. #479C22×C17semidirect
969. #478C22×C17semidirect
970. #478C22×C17semidirect
971. #478C22×C17semidirect
973. #475C22×C17semidirect
974. #475C22×C17semidirect
975. #474C22×C17semidirect
976. #469C22×C17semidirect
977. #468C22×C17semidirect
978. #468C22×C17semidirect
979. #468C22×C17semidirect
980. #466C22×C17semidirect
981. #466C22×C17semidirect
982. #466C22×C17semidirect
983. #465C22×C17semidirect
984. #465C22×C17semidirect
985. #465C22×C17semidirect
986. #465C22×C17semidirect
987. #465C22×C17semidirect
990. #463C22×C17semidirect
991. #463C22×C17semidirect
993. #461C22×C17semidirect
994. #460C22×C17semidirect
995. #460C22×C17semidirect
996. #460C22×C17semidirect
997. #460C22×C17semidirect
998. #460C22×C17semidirect
999. #459C22×C17semidirect
1004. #449C22×C17semidirect
1005. #449C22×C17semidirect
1006. #448C22×C17semidirect
1007. #448C22×C17semidirect
1008. #448C22×C17semidirect
1009. #448C22×C17semidirect
1012. #446C22×C17semidirect
1013. #446C22×C17semidirect
1015. #442C22×C17semidirect
1016. #442C22×C17semidirect
1022. #440C22×C17semidirect
1023. #440C22×C17semidirect
1024. #440C22×C17semidirect
1025. #440C22×C17semidirect
1026. #440C22×C17semidirect
1027. #440C22×C17semidirect
1028. #440C22×C17semidirect
1029. #440C22×C17semidirect
1033. C4×SD16C22×C17semidirect
1034. C4×SD16C22×C17semidirect
1035. C4×SD16C22×C17semidirect
1036. C4×SD16C22×C17semidirect
1037. C4×SD16C22×C17semidirect
1038. C4×SD16C22×C17semidirect
1040. C4×D8C22×C17semidirect
1041. C4×D8C22×C17semidirect
1042. #435C22×C17semidirect
1043. #435C22×C17semidirect
1044. #435C22×C17semidirect
1045. #435C22×C17semidirect
1046. C8×D4C22×C17semidirect
1047. C8×D4C22×C17semidirect
1048. #433C22×C17semidirect
1049. #433C22×C17semidirect
1050. #431C22×C17semidirect
1051. #428C22×C17semidirect
1052. #427C22×C17semidirect
1053. C2×#107C22×C17semidirect
1054. #419C22×C17semidirect
1056. #416C22×C17semidirect
1057. C2×#103C22×C17semidirect
1060. #405C22×C17semidirect
1061. #405C22×C17semidirect
1062. C2×#97C22×C17semidirect
1352. C17#61521direct (N × H)
1442. SD16#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35192
C17×#35162
C17×#33972
C17×#33882
C17×#33762
C17×#33682
C17×#33482
C17×#33462
C17×#33392
C17×#33212
C17×#33202
C17×#33182
C17×#33102
C17×#33012
C17×#32952
D4×SD16×C172
C17×#32652
C17×#31802
C17×#31792
C17×#31742
C17×#31262
C17×#31232
C17×#31192
C17×#31182
C17×#31052
C17×#31032
C17×#29682
C17×#29492
C17×#29462
C2×C17×#4402
#6152117