Finite Group Databasebeta

← C17×#61518 #16919262

Subgroups — C17×#61518 #16919262

Order 4352.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3522C211yesmaximal, characteristic, complemented
2C17×#3521C211yesmaximal, characteristic, complemented
3C17×#3401C211yesmaximal, characteristic, complemented
4C17×#3385C211yesmaximal, characteristic, complemented
5C17×#3370C211yesmaximal, characteristic, complemented
6C17×#3369C211yesmaximal, characteristic, complemented
7C17×#3353C211yesmaximal, characteristic, complemented
8C17×#3345C211yesmaximal, characteristic, complemented
9C17×#3344C211yesmaximal, characteristic, complemented
10C17×#3330C211yesmaximal, characteristic, complemented
11C17×#3326C211yesmaximal, characteristic, complemented
12C17×#3317C211yesmaximal, characteristic, complemented
13C17×#3314C211yesmaximal, characteristic, complemented
14C17×#3313C211yesmaximal, characteristic, complemented
15C17×#3306C211yesmaximal, characteristic, complemented
16C17×#3275C211yesmaximal, characteristic, complemented
17C17×#3269C211yesmaximal, characteristic, complemented
18C17×#3268C211yesmaximal, characteristic, complemented
19C17×#3178C211yesmaximal, characteristic, complemented
20C17×#3175C211yesmaximal, characteristic, complemented
21C17×#3171C211yesmaximal, characteristic, complemented
22C17×#3125C211yesmaximal, characteristic, complemented
23C17×#3124C211yesmaximal, characteristic, complemented
24C17×#3120C211yesmaximal, characteristic, complemented
25C17×#3118C211yesmaximal, characteristic, complemented
26C17×#3117C211yesmaximal, characteristic, complemented
27C17×#3115C211yesmaximal, characteristic, complemented
28C17×#2967C211yesmaximal, characteristic, complemented
29C17×#2952C211yesmaximal, characteristic, complemented
30C17×#2946C211yesmaximal, characteristic, complemented
31C4×C17×#137C211yesmaximal, characteristic, complemented
32C2×C17×#137C2211yescharacteristic
33C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C17×#135C2211yescharacteristic
35C17×#559—21no—
36C17×#559C2211yescharacteristic, complemented
37Q82×C17C2211yescharacteristic, complemented
38C17×#556C2211yescharacteristic
39C17×#556C2211yescharacteristic
40C17×#554—21no—
41C17×#554C2211yescharacteristic
42C17×#554C2211yescharacteristic
43C17×#553—21no—
44C17×#553C2211yescharacteristic
45C17×#552—21no—
46C17×#552C2211yescharacteristic
47C17×#551—21no—
48C17×#551—21no—
49C17×#550C2211yescharacteristic
50C17×#548C2211yescharacteristic
51C17×#548C2211yescharacteristic, complemented
52C17×#547—21no—
53C17×#547—21no—
54C17×#547C2211yescharacteristic
55C17×#547C2211yescharacteristic
56C17×#547C2211yescharacteristic, complemented
57C17×#546C2211yescharacteristic
58C17×#546C2211yescharacteristic
59C17×#542—21no—
60C17×#542—21no—
61C17×#542C2211yescharacteristic
62C17×#542C2211yescharacteristic
63C17×#542C2211yescharacteristic, complemented
64C17×#541C2211yescharacteristic
65C17×#539—21no—
66C17×#538—21no—
67C17×#532—21no—
68C17×#532C2211yescharacteristic, complemented
69C17×#529—21no—
70C17×#529—21no—
71C17×#529C2211yescharacteristic
72C17×#529C2211yescharacteristic
73C2×C17×#126—21no—
74C17×#520C2211yescharacteristic
75C17×#520C2211yescharacteristic
76C17×#520C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic
78C4×#41×C17C2211yescharacteristic
79C2×C4×Q8×C17C2211yescharacteristic, complemented
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#500C2211yescharacteristic, complemented
83C17×#497C2211yescharacteristic, complemented
84C17×#496C2211yescharacteristic
85C17×#495C2211yescharacteristic
86C17×#490C2211yescharacteristic, complemented
87C17×#489C2211yescharacteristic
88C17×#489C2211yescharacteristic
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#487C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic
93C17×#484C2211yescharacteristic
94C17×#484C2211yescharacteristic, complemented
95C17×#484C2211yescharacteristic, complemented
96C17×#483C2211yescharacteristic
97C17×#483C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic
99C17×#482C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic
102C17×#481C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic, complemented
108C17×#477C2211yescharacteristic, complemented
109C17×#476C2211yescharacteristic
110C17×#476C2211yescharacteristic
111C17×#475C2211yescharacteristic, complemented
112C17×#475C2211yescharacteristic, complemented
113C17×#474C2211yescharacteristic
114C17×#474C2211yescharacteristic
115C17×#474C2211yescharacteristic, complemented
116C17×#470C2211yescharacteristic
117C17×#469C2211yescharacteristic
118C17×#469C2211yescharacteristic
119C17×#468C2211yescharacteristic
120C17×#468C2211yescharacteristic
121C17×#468C2211yescharacteristic, complemented
122C17×#468C2211yescharacteristic, complemented
123C17×#468C2211yescharacteristic, complemented
124C17×#467C2211yescharacteristic
125C17×#467C2211yescharacteristic, complemented
126C17×#466C2211yescharacteristic
127C17×#465C2211yescharacteristic
128C17×#464C2211yescharacteristic
129C17×#464C2211yescharacteristic
130C17×#464C2211yescharacteristic
131C17×#464C2211yescharacteristic, complemented
132C17×#463C2211yescharacteristic
133C17×#463C2211yescharacteristic
134C17×#463C2211yescharacteristic
135C17×#463C2211yescharacteristic
136C17×#462C2211yescharacteristic, complemented
137C17×#461C2211yescharacteristic, complemented
138C17×#460C2211yescharacteristic, complemented
139C17×#459C2211yescharacteristic
140C17×#452C2211yescharacteristic
141C17×#452C2211yescharacteristic
142C17×#452C2211yescharacteristic
143C17×#452C2211yescharacteristic, complemented
144C17×#451C2211yescharacteristic, complemented
145C17×#450C2211yescharacteristic
146C17×#449C2211yescharacteristic
147C17×#449C2211yescharacteristic
148C17×#449C2211yescharacteristic
149C17×#449C2211yescharacteristic
150C17×#448C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#442C2211yescharacteristic
158C17×#441C2211yescharacteristic, complemented
159C17×#441C2211yescharacteristic, complemented
160C17×#441C2211yescharacteristic, complemented
161C17×#441C2211yescharacteristic, complemented
162C17×#441C2211yescharacteristic, complemented
163C17×#440C2211yescharacteristic
164C17×#440C2211yescharacteristic
165C17×#440C2211yescharacteristic
166C17×#440C2211yescharacteristic
167C17×#440C2211yescharacteristic
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, complemented
170C4×Q16×C17C2211yescharacteristic, complemented
171C4×Q16×C17C2211yescharacteristic, complemented
172C4×SD16×C17C2211yescharacteristic
173C4×SD16×C17C2211yescharacteristic
174C4×SD16×C17C2211yescharacteristic
175C4×SD16×C17C2211yescharacteristic
176C4×SD16×C17C2211yescharacteristic, complemented
177C4×SD16×C17C2211yescharacteristic, complemented
178C4×SD16×C17C2211yescharacteristic, complemented
179C4×D8×C17C2211yescharacteristic
180C4×D8×C17C2211yescharacteristic
181C4×D8×C17C2211yescharacteristic
182C17×#436C2211yescharacteristic
183C17×#436C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic
185C17×#435C2211yescharacteristic
186C17×#435C2211yescharacteristic
187C17×#435C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic
189C17×#433C2211yescharacteristic, complemented
190C17×#432C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic
192C17×#428C2211yescharacteristic, complemented
193C2×C17×#106C2211yescharacteristic, complemented
194C17×#419C2211yescharacteristic, complemented
195C17×#417C2211yescharacteristic
196C17×#417C2211yescharacteristic
197C17×#417C2211yescharacteristic, complemented
198C17×#416C2211yescharacteristic
199C2×C17×#102C2211yescharacteristic
200C17×#405C2211yescharacteristic
201C17×#405C2211yescharacteristic, complemented
202C4×M16×C17C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17—21no—
205C2×#41×C17—21no—
206C2×#41×C17C2311yescharacteristic
207C2×#41×C17C2311yescharacteristic
208C2×#41×C17C2311yescharacteristic
209C2×#41×C17C2311yescharacteristic
210C22×Q8×C17C2311yescharacteristic
211C22×D4×C17C2311yescharacteristic
212C17×#137—24no—
213C17×AGL(1,ℤ/8)—24no—
214C17×#135—24no—
215C2×Q16×C17C2311yescharacteristic
216C2×Q16×C17C2311yescharacteristic
217C2×Q16×C17C2311yescharacteristic
218C2×Q16×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×D8×C17C2311yescharacteristic
228C2×D8×C17C2311yescharacteristic
229C2×D8×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×M16×C17C2311yescharacteristic
232C2×M16×C17C2311yescharacteristic
233C2×M16×C17C2311yescharacteristic
234C2×M16×C17C2311yescharacteristic
235C22×C8×C17C2311yescharacteristic
236C22×C8×C17C2311yescharacteristic
237C17×C4⋊Q8—21no—
238C17×C4⋊Q8—21no—
239C17×C4⋊Q8—21no—
240C17×C4⋊Q8C2311yescharacteristic
241C17×C4⋊Q8C2311yescharacteristic
242C17×C4⋊Q8C2311yescharacteristic
243C17×C4⋊Q8C2311yescharacteristic
244C17×C4⋊Q8C2311yescharacteristic
245C17×#127—21no—
246C17×#127C2311yescharacteristic
247C17×#126—21no—
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×#126—21no—
259C17×#126D411yescharacteristic
260C17×#126D411yescharacteristic
261C17×#125—21no—
262C17×#125—21no—
263C17×#125—21no—
264C17×#125—21no—
265C17×#125D411yescharacteristic
266C17×#125C2311yescharacteristic
267C17×#125C2311yescharacteristic
268C17×#124—21no—
269C17×#124—21no—
270C17×#124—21no—
271C17×#124—21no—
272C17×#124—21no—
273C17×#124—21no—
274C17×#124—21no—
275C17×#124—21no—
276C17×#124D411yescharacteristic
277C17×#124C2311yescharacteristic
278C17×#124C2311yescharacteristic
279C17×#124C2311yescharacteristic
280C17×#124C2311yescharacteristic
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×#123—21no—
291C17×#123—21no—
292C17×#123—21no—
293C17×#123—21no—
294C17×#123—21no—
295C17×#123—21no—
296C17×#123—21no—
297C17×#123D411yescharacteristic
298C17×#123D411yescharacteristic
299C17×C22⋊Q8—21no—
300C17×C22⋊Q8—21no—
301C17×C22⋊Q8—21no—
302C17×C22⋊Q8—21no—
303C17×C22⋊Q8—21no—
304C17×C22⋊Q8—21no—
305C17×C22⋊Q8—21no—
306C17×C22⋊Q8—21no—
307C17×C22⋊Q8—21no—
308C17×C22⋊Q8—21no—
309C17×C22⋊Q8—21no—
310C17×C22⋊Q8—21no—
311C17×C22⋊Q8—21no—
312C17×C22⋊Q8D411yescharacteristic
313C17×C22⋊Q8C2311yescharacteristic
314C17×C22⋊Q8C2311yescharacteristic
315C17×C22⋊Q8C2311yescharacteristic
316C17×C22⋊Q8C2311yescharacteristic
317C17×C22⋊Q8C2311yescharacteristic
318C17×C22⋊Q8C2311yescharacteristic
319C17×#121—21no—
320C17×#121—21no—
321C17×#121—21no—
322C17×#121—21no—
323C17×#121—21no—
324C17×#121—21no—
325C17×#121—21no—
326C17×#121—21no—
327C17×#121—21no—
328C17×#121D411yescharacteristic
329C17×#121C2311yescharacteristic
330C17×#121C2311yescharacteristic
331C17×#121C2311yescharacteristic
332C17×#121C2311yescharacteristic
333C17×#121C2311yescharacteristic
334C17×#121C2311yescharacteristic
335C17×#120—21no—
336C17×#120—21no—
337C4×Q8×C17—21no—
338C4×Q8×C17—21no—
339C4×Q8×C17—21no—
340C4×Q8×C17—21no—
341C4×Q8×C17C2311yescharacteristic
342C4×Q8×C17C2311yescharacteristic
343C4×Q8×C17C2311yescharacteristic
344C4×Q8×C17C2311yescharacteristic
345C4×Q8×C17C2311yescharacteristic
346C4×Q8×C17C2311yescharacteristic
347C4×Q8×C17C2311yescharacteristic
348C4×Q8×C17C2311yescharacteristic
349C4×Q8×C17C2311yescharacteristic
350C4×Q8×C17C2311yescharacteristic
351C4×Q8×C17C2311yescharacteristic
352C4×D4×C17—21no—
353C4×D4×C17—21no—
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×C17C2311yescharacteristic
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
383C17×#117—21no—
384C17×#117—21no—
385C17×#117—21no—
386C17×#117—21no—
387C17×#117—21no—
388C17×#117—21no—
389C17×#117—21no—
390C17×#117C2311yescharacteristic
391C17×#117C2311yescharacteristic
392C17×#117C2311yescharacteristic
393C17×#117C2311yescharacteristic
394C2×C4⋊C4×C17—21no—
395C2×C4⋊C4×C17—21no—
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17—21no—
398C2×C4⋊C4×C17—21no—
399C2×C4⋊C4×C17—21no—
400C2×C4⋊C4×C17C2311yescharacteristic
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×C42×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×#103C2311yescharacteristic
446C17×#103C2311yescharacteristic
447C17×#103C2311yescharacteristic
448C17×#103C2311yescharacteristic
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—
482#41×C17—22no—
483#41×C17—22no—
484#41×C17—22no—
485#41×C17—22no—
486#41×C17—41no—
487#41×C17—41no—
488#41×C17—41no—
489#41×C17—41no—
490#41×C17—82no—
491#41×C17—82no—
492#41×C17—82no—
493C2×Q8×C17—21no—
494C2×Q8×C17—21no—
495C2×Q8×C17—21no—
496C2×Q8×C17—21no—
497C2×Q8×C17—21no—
498C2×Q8×C17—22no—
499C2×Q8×C17—41no—
500C2×Q8×C17C2×D411yescharacteristic
501C2×Q8×C17C2411yescharacteristic
502C2×Q8×C17C2411yescharacteristic
503C2×Q8×C17C2411yescharacteristic
504C2×Q8×C17C2411yescharacteristic
505C2×D4×C17—22no—
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—41no—
520C2×D4×C17C2×D411yescharacteristic
521C2×D4×C17C2×D411yescharacteristic
522C2×D4×C17C2×D411yescharacteristic
523C2×D4×C17C2411yescharacteristic
524C2×D4×C17C2411yescharacteristic
525C2×D4×C17C2411yescharacteristic
526C2×D4×C17C2411yescharacteristic
527C22×C4×C17—21no—
528C22×C4×C17—21no—
529C22×C4×C17—21no—
530C22×C4×C17—21no—
531C22×C4×C17—21no—
532C22×C4×C17—21no—
533C22×C4×C17—21no—
534C22×C4×C17—21no—
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×C17C2×D411yescharacteristic
547C22×C4×C17C2×D411yescharacteristic
548C22×C4×C17C2411yescharacteristic
549C22×C4×C17C2411yescharacteristic
550C22×C4×C17C2411yescharacteristic
551Q16×C17—22no—
552Q16×C17—22no—
553Q16×C17—22no—
554Q16×C17—41no—
555SD16×C17—22no—
556SD16×C17—22no—
557SD16×C17—22no—
558SD16×C17—41no—
559SD16×C17—41no—
560SD16×C17—41no—
561SD16×C17—41no—
562SD16×C17#4114yescomplemented
563D8×C17—22no—
564D8×C17—22no—
565D8×C17—22no—
566D8×C17—41no—
567M16×C17—22no—
568M16×C17—22no—
569M16×C17—41no—
570M16×C17—41no—
571C2×C8×C17—22no—
572C2×C8×C17—41no—
573C2×C8×C17C2411yescharacteristic
574C2×C8×C17C2411yescharacteristic
575C2×C8×C17C2411yescharacteristic
576C2×C8×C17C2411yescharacteristic
577C2×C8×C17C2411yescharacteristic
578C2×C8×C17C2411yescharacteristic
579C2×C8×C17C2411yescharacteristic
580C2×C8×C17C2411yescharacteristic
581C4⋊C4×C17—21no—
582C4⋊C4×C17—21no—
583C4⋊C4×C17—21no—
584C4⋊C4×C17—21no—
585C4⋊C4×C17—21no—
586C4⋊C4×C17—21no—
587C4⋊C4×C17—21no—
588C4⋊C4×C17—21no—
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×C17C2×D411yescharacteristic
612C4⋊C4×C17C2×D411yescharacteristic
613C4⋊C4×C17C2×D411yescharacteristic
614C4⋊C4×C17C2×D411yescharacteristic
615C4⋊C4×C17C2×D411yescharacteristic
616C4⋊C4×C17C2×D411yescharacteristic
617C4⋊C4×C17C2×D411yescharacteristic
618C4⋊C4×C17C2×D411yescharacteristic
619C4⋊C4×C17C2×D411yescharacteristic
620C4⋊C4×C17C2×D411yescharacteristic
621C4⋊C4×C17C2411yescharacteristic
622C4⋊C4×C17C2411yescharacteristic
623C4⋊C4×C17C2411yescharacteristic
624C4⋊C4×C17C2411yescharacteristic
625C4⋊C4×C17C2411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C4⋊C4×C17C2411yescharacteristic
628C4⋊C4×C17C2411yescharacteristic
629C22⋊C4×C17—21no—
630C22⋊C4×C17—21no—
631C22⋊C4×C17—21no—
632C22⋊C4×C17—21no—
633C22⋊C4×C17—21no—
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×C17C2×D411yescharacteristic
662C22⋊C4×C17C2×D411yescharacteristic
663C22⋊C4×C17C2×D411yescharacteristic
664C22⋊C4×C17C2×D411yescharacteristic
665C22⋊C4×C17C2×D411yescharacteristic
666C22⋊C4×C17C2×D411yescharacteristic
667C22⋊C4×C17C2×D411yescharacteristic
668C22⋊C4×C17C2×D411yescharacteristic
669C22⋊C4×C17C2×D411yescharacteristic
670C22⋊C4×C17C2×D411yescharacteristic
671C42×C17—21no—
672C42×C17—21no—
673C42×C17—21no—
674C42×C17—21no—
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×C17C2×D411yescharacteristic
684C42×C17C2×D411yescharacteristic
685C42×C17C2411yescharacteristic
686C42×C17C2411yescharacteristic
687C42×C17C2411yescharacteristic
688C42×C17C2411yescharacteristic
689#61518C1711yesmaximal, characteristic, direct product factor, Sylow
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—42no—
695C23×C17—81no—
696C23×C17—81no—
697C23×C17C22×D411yescharacteristic
698C23×C17C22×D411yescharacteristic
699C23×C17C22×D411yescharacteristic
700Q8×C17—21no—
701Q8×C17—21no—
702Q8×C17—21no—
703Q8×C17—21no—
704Q8×C17—21no—
705Q8×C17—21no—
706Q8×C17—21no—
707Q8×C17—41no—
708Q8×C17—42no—
709Q8×C17—81no—
710Q8×C17—81no—
711Q8×C17—81no—
712Q8×C17—81no—
713Q8×C17C2×#4112yes—
714D4×C17—21no—
715D4×C17—21no—
716D4×C17—21no—
717D4×C17—21no—
718D4×C17—21no—
719D4×C17—21no—
720D4×C17—21no—
721D4×C17—41no—
722D4×C17—41no—
723D4×C17—41no—
724D4×C17—42no—
725D4×C17—42no—
726D4×C17—42no—
727D4×C17—42no—
728D4×C17—42no—
729D4×C17—42no—
730D4×C17—42no—
731D4×C17—42no—
732D4×C17—81no—
733D4×C17—81no—
734D4×C17—81no—
735D4×C17—81no—
736D4×C17—81no—
737D4×C17C2×#4112yes—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—21no—
749C2×C4×C17—21no—
750C2×C4×C17—21no—
751C2×C4×C17—21no—
752C2×C4×C17—21no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—41no—
757C2×C4×C17—41no—
758C2×C4×C17—42no—
759C2×C4×C17—42no—
760C2×C4×C17—42no—
761C2×C4×C17—42no—
762C2×C4×C17—42no—
763C2×C4×C17—42no—
764C2×C4×C17—81no—
765C2×C4×C17—81no—
766C2×C4×C17—81no—
767C2×C4×C17—81no—
768C2×C4×C17—81no—
769C2×C4×C17—81no—
770C2×C4×C17—81no—
771C2×C4×C17—81no—
772C2×C4×C17—81no—
773C2×C4×C17—81no—
774C2×C4×C17—81no—
775C2×C4×C17—81no—
776C2×C4×C17—81no—
777C2×C4×C17C22×D411yescharacteristic
778C2×C4×C17C22×D411yescharacteristic
779C2×C4×C17C22×D411yescharacteristic
780C2×C4×C17C22×D411yescharacteristic
781C2×C4×C17C22×D411yescharacteristic
782C2×C4×C17C22×D411yescharacteristic
783C2×C4×C17C22×D411yescharacteristic
784C2×C4×C17C22×D411yescharacteristic
785C2×C4×C17C22×D411yescharacteristic
786C2×C4×C17C22×D411yescharacteristic
787C2×C4×C17C22×D411yescharacteristic
788C2×C4×C17C2511yescharacteristic
789C8×C17—21no—
790C8×C17—21no—
791C8×C17—21no—
792C8×C17—21no—
793C8×C17—21no—
794C8×C17—21no—
795C8×C17—21no—
796C8×C17C2×#4112yes—
797#3522C2×C1711yescharacteristic, complemented
798#3521C2×C1711yescharacteristic, complemented
799#3401C2×C1711yescharacteristic, complemented
800#3385C2×C1711yescharacteristic, complemented
801#3370C2×C1711yescharacteristic, complemented
802#3369C2×C1711yescharacteristic, complemented
803#3353C2×C1711yescharacteristic, complemented
804#3345C2×C1711yescharacteristic, complemented
805#3344C2×C1711yescharacteristic, complemented
806#3330C2×C1711yescharacteristic, complemented
807#3326C2×C1711yescharacteristic, complemented
808#3317C2×C1711yescharacteristic, complemented
809#3314C2×C1711yescharacteristic, complemented
810#3313C2×C1711yescharacteristic, complemented
811#3306C2×C1711yescharacteristic, complemented
812#3275C2×C1711yescharacteristic, complemented
813#3269C2×C1711yescharacteristic, complemented
814#3268C2×C1711yescharacteristic, complemented
815#3178C2×C1711yescharacteristic, complemented
816#3175C2×C1711yescharacteristic, complemented
817#3171C2×C1711yescharacteristic, complemented
818#3125C2×C1711yescharacteristic, complemented
819#3124C2×C1711yescharacteristic, complemented
820#3120C2×C1711yescharacteristic, complemented
821#3118C2×C1711yescharacteristic, complemented
822#3117C2×C1711yescharacteristic, complemented
823#3115C2×C1711yescharacteristic, complemented
824#2967C2×C1711yescharacteristic, complemented
825#2952C2×C1711yescharacteristic, complemented
826#2946C2×C1711yescharacteristic, complemented
827C4×#137C2×C1711yescharacteristic, complemented
828C22×C17—21no—
829C22×C17—21no—
830C22×C17—21no—
831C22×C17—21no—
832C22×C17—21no—
833C22×C17—21no—
834C22×C17—21no—
835C22×C17—21no—
836C22×C17—21no—
837C22×C17—22no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—162no—
850C22×C17C23×D411yescharacteristic
851C4×C17—21no—
852C4×C17—21no—
853C4×C17—21no—
854C4×C17—21no—
855C4×C17—21no—
856C4×C17—21no—
857C4×C17—21no—
858C4×C17—21no—
859C4×C17—21no—
860C4×C17—21no—
861C4×C17—21no—
862C4×C17—22no—
863C4×C17—41no—
864C4×C17—41no—
865C4×C17—41no—
866C4×C17—41no—
867C4×C17—41no—
868C4×C17—41no—
869C4×C17—41no—
870C4×C17—41no—
871C4×C17—41no—
872C4×C17—41no—
873C4×C17—41no—
874C4×C17C22×#4111yescharacteristic
875C4×C17#58511yescharacteristic
876C2×#137C22×C1711yescharacteristic
877C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
878C2×#135C22×C1711yescharacteristic
879#559—21no—
880#559C22×C1711yescharacteristic, complemented
881Q82C22×C1711yescharacteristic, complemented
882#556C22×C1711yescharacteristic
883#556C22×C1711yescharacteristic
884#554—21no—
885#554C22×C1711yescharacteristic
886#554C22×C1711yescharacteristic
887#553—21no—
888#553C22×C1711yescharacteristic
889#552—21no—
890#552C22×C1711yescharacteristic
891#551—21no—
892#551—21no—
893#550C22×C1711yescharacteristic
894#548C22×C1711yescharacteristic
895#548C22×C1711yescharacteristic, complemented
896#547—21no—
897#547—21no—
898#547C22×C1711yescharacteristic
899#547C22×C1711yescharacteristic
900#547C22×C1711yescharacteristic, complemented
901#546C22×C1711yescharacteristic
902#546C22×C1711yescharacteristic
903#542—21no—
904#542—21no—
905#542C22×C1711yescharacteristic
906#542C22×C1711yescharacteristic
907#542C22×C1711yescharacteristic, complemented
908#541C22×C1711yescharacteristic
909#539—21no—
910#538—21no—
911#532—21no—
912#532C22×C1711yescharacteristic, complemented
913#529—21no—
914#529—21no—
915#529C22×C1711yescharacteristic
916#529C22×C1711yescharacteristic
917C2×#126—21no—
918#520C22×C1711yescharacteristic
919#520C22×C1711yescharacteristic
920#520C22×C1711yescharacteristic, complemented
921#518C22×C1711yescharacteristic
922C4×#41C22×C1711yescharacteristic
923C2×C4×Q8C22×C1711yescharacteristic, complemented
924#501C22×C1711yescharacteristic, complemented
925#501C22×C1711yescharacteristic, complemented
926#500C22×C1711yescharacteristic, complemented
927#497C22×C1711yescharacteristic, complemented
928#496C22×C1711yescharacteristic
929#495C22×C1711yescharacteristic
930#490C22×C1711yescharacteristic, complemented
931#489C22×C1711yescharacteristic
932#489C22×C1711yescharacteristic
933#489C22×C1711yescharacteristic, complemented
934#488C22×C1711yescharacteristic, complemented
935#487C22×C1711yescharacteristic, complemented
936#485C22×C1711yescharacteristic
937#484C22×C1711yescharacteristic
938#484C22×C1711yescharacteristic, complemented
939#484C22×C1711yescharacteristic, complemented
940#483C22×C1711yescharacteristic
941#483C22×C1711yescharacteristic, complemented
942#482C22×C1711yescharacteristic
943#482C22×C1711yescharacteristic, complemented
944#482C22×C1711yescharacteristic, complemented
945#481C22×C1711yescharacteristic
946#481C22×C1711yescharacteristic, complemented
947#480C22×C1711yescharacteristic
948#479C22×C1711yescharacteristic, complemented
949#479C22×C1711yescharacteristic, complemented
950#479C22×C1711yescharacteristic, complemented
951#478C22×C1711yescharacteristic, complemented
952#477C22×C1711yescharacteristic, complemented
953#476C22×C1711yescharacteristic
954#476C22×C1711yescharacteristic
955#475C22×C1711yescharacteristic, complemented
956#475C22×C1711yescharacteristic, complemented
957#474C22×C1711yescharacteristic
958#474C22×C1711yescharacteristic
959#474C22×C1711yescharacteristic, complemented
960#470C22×C1711yescharacteristic
961#469C22×C1711yescharacteristic
962#469C22×C1711yescharacteristic
963#468C22×C1711yescharacteristic
964#468C22×C1711yescharacteristic
965#468C22×C1711yescharacteristic, complemented
966#468C22×C1711yescharacteristic, complemented
967#468C22×C1711yescharacteristic, complemented
968#467C22×C1711yescharacteristic
969#467C22×C1711yescharacteristic, complemented
970#466C22×C1711yescharacteristic
971#465C22×C1711yescharacteristic
972#464C22×C1711yescharacteristic
973#464C22×C1711yescharacteristic
974#464C22×C1711yescharacteristic
975#464C22×C1711yescharacteristic, complemented
976#463C22×C1711yescharacteristic
977#463C22×C1711yescharacteristic
978#463C22×C1711yescharacteristic
979#463C22×C1711yescharacteristic
980#462C22×C1711yescharacteristic, complemented
981#461C22×C1711yescharacteristic, complemented
982#460C22×C1711yescharacteristic, complemented
983#459C22×C1711yescharacteristic
984#452C22×C1711yescharacteristic
985#452C22×C1711yescharacteristic
986#452C22×C1711yescharacteristic
987#452C22×C1711yescharacteristic, complemented
988#451C22×C1711yescharacteristic, complemented
989#450C22×C1711yescharacteristic
990#449C22×C1711yescharacteristic
991#449C22×C1711yescharacteristic
992#449C22×C1711yescharacteristic
993#449C22×C1711yescharacteristic
994#448C22×C1711yescharacteristic
995#447C22×C1711yescharacteristic
996#446C22×C1711yescharacteristic, complemented
997#446C22×C1711yescharacteristic, complemented
998#442C22×C1711yescharacteristic
999#442C22×C1711yescharacteristic
1000#442C22×C1711yescharacteristic
1001#442C22×C1711yescharacteristic
1002#441C22×C1711yescharacteristic, complemented
1003#441C22×C1711yescharacteristic, complemented
1004#441C22×C1711yescharacteristic, complemented
1005#441C22×C1711yescharacteristic, complemented
1006#441C22×C1711yescharacteristic, complemented
1007#440C22×C1711yescharacteristic
1008#440C22×C1711yescharacteristic
1009#440C22×C1711yescharacteristic
1010#440C22×C1711yescharacteristic
1011#440C22×C1711yescharacteristic
1012#440C22×C1711yescharacteristic, complemented
1013#440C22×C1711yescharacteristic, complemented
1014C4×Q16C22×C1711yescharacteristic, complemented
1015C4×Q16C22×C1711yescharacteristic, complemented
1016C4×SD16C22×C1711yescharacteristic
1017C4×SD16C22×C1711yescharacteristic
1018C4×SD16C22×C1711yescharacteristic
1019C4×SD16C22×C1711yescharacteristic
1020C4×SD16C22×C1711yescharacteristic, complemented
1021C4×SD16C22×C1711yescharacteristic, complemented
1022C4×SD16C22×C1711yescharacteristic, complemented
1023C4×D8C22×C1711yescharacteristic
1024C4×D8C22×C1711yescharacteristic
1025C4×D8C22×C1711yescharacteristic
1026#436C22×C1711yescharacteristic
1027#436C22×C1711yescharacteristic, complemented
1028#435C22×C1711yescharacteristic
1029#435C22×C1711yescharacteristic
1030#435C22×C1711yescharacteristic
1031#435C22×C1711yescharacteristic, complemented
1032#433C22×C1711yescharacteristic
1033#433C22×C1711yescharacteristic, complemented
1034#432C22×C1711yescharacteristic, complemented
1035#428C22×C1711yescharacteristic
1036#428C22×C1711yescharacteristic, complemented
1037C2×#106C22×C1711yescharacteristic, complemented
1038#419C22×C1711yescharacteristic, complemented
1039#417C22×C1711yescharacteristic
1040#417C22×C1711yescharacteristic
1041#417C22×C1711yescharacteristic, complemented
1042#416C22×C1711yescharacteristic
1043C2×#102C22×C1711yescharacteristic
1044#405C22×C1711yescharacteristic
1045#405C22×C1711yescharacteristic, complemented
1046C4×M16C22×C1711yescharacteristic, complemented
1047C2×C17—41no—
1048C2×C17—41no—
1049C2×C17—41no—
1050C2×C17—42no—
1051C2×C17—81no—
1052C2×C17—81no—
1053C2×C17—81no—
1054C2×C17D4×#4111yescharacteristic
1055C2×C17#358511yescharacteristic
1056C2×C17#358611yescharacteristic
1057C2×#41—21no—
1058C2×#41—21no—
1059C2×#41—21no—
1060C2×#41C23×C1711yescharacteristic
1061C2×#41C23×C1711yescharacteristic
1062C2×#41C23×C1711yescharacteristic
1063C2×#41C23×C1711yescharacteristic
1064C22×Q8C23×C1711yescharacteristic
1065C22×D4C23×C1711yescharacteristic
1066#137—24no—
1067AGL(1,ℤ/8)—24no—
1068#135—24no—
1069C2×Q16C23×C1711yescharacteristic
1070C2×Q16C23×C1711yescharacteristic
1071C2×Q16C23×C1711yescharacteristic
1072C2×Q16C23×C1711yescharacteristic
1073C2×SD16C23×C1711yescharacteristic
1074C2×SD16C23×C1711yescharacteristic
1075C2×SD16C23×C1711yescharacteristic
1076C2×SD16C23×C1711yescharacteristic
1077C2×SD16C23×C1711yescharacteristic
1078C2×SD16C23×C1711yescharacteristic
1079C2×SD16C23×C1711yescharacteristic
1080C2×SD16C23×C1711yescharacteristic
1081C2×D8C23×C1711yescharacteristic
1082C2×D8C23×C1711yescharacteristic
1083C2×D8C23×C1711yescharacteristic
1084C2×D8C23×C1711yescharacteristic
1085C2×M16C23×C1711yescharacteristic
1086C2×M16C23×C1711yescharacteristic
1087C2×M16C23×C1711yescharacteristic
1088C2×M16C23×C1711yescharacteristic
1089C22×C8C23×C1711yescharacteristic
1090C22×C8C23×C1711yescharacteristic
1091C4⋊Q8—21no—
1092C4⋊Q8—21no—
1093C4⋊Q8—21no—
1094C4⋊Q8C23×C1711yescharacteristic
1095C4⋊Q8C23×C1711yescharacteristic
1096C4⋊Q8C23×C1711yescharacteristic
1097C4⋊Q8C23×C1711yescharacteristic
1098C4⋊Q8C23×C1711yescharacteristic
1099#127—21no—
1100#127C23×C1711yescharacteristic
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126D4×C1711yescharacteristic
1114#126D4×C1711yescharacteristic
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125D4×C1711yescharacteristic
1120#125C23×C1711yescharacteristic
1121#125C23×C1711yescharacteristic
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124D4×C1711yescharacteristic
1131#124C23×C1711yescharacteristic
1132#124C23×C1711yescharacteristic
1133#124C23×C1711yescharacteristic
1134#124C23×C1711yescharacteristic
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123D4×C1711yescharacteristic
1152#123D4×C1711yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8D4×C1711yescharacteristic
1167C22⋊Q8C23×C1711yescharacteristic
1168C22⋊Q8C23×C1711yescharacteristic
1169C22⋊Q8C23×C1711yescharacteristic
1170C22⋊Q8C23×C1711yescharacteristic
1171C22⋊Q8C23×C1711yescharacteristic
1172C22⋊Q8C23×C1711yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121D4×C1711yescharacteristic
1183#121C23×C1711yescharacteristic
1184#121C23×C1711yescharacteristic
1185#121C23×C1711yescharacteristic
1186#121C23×C1711yescharacteristic
1187#121C23×C1711yescharacteristic
1188#121C23×C1711yescharacteristic
1189#120—21no—
1190#120—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8C23×C1711yescharacteristic
1196C4×Q8C23×C1711yescharacteristic
1197C4×Q8C23×C1711yescharacteristic
1198C4×Q8C23×C1711yescharacteristic
1199C4×Q8C23×C1711yescharacteristic
1200C4×Q8C23×C1711yescharacteristic
1201C4×Q8C23×C1711yescharacteristic
1202C4×Q8C23×C1711yescharacteristic
1203C4×Q8C23×C1711yescharacteristic
1204C4×Q8C23×C1711yescharacteristic
1205C4×Q8C23×C1711yescharacteristic
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4C23×C1711yescharacteristic
1225C4×D4C23×C1711yescharacteristic
1226C4×D4C23×C1711yescharacteristic
1227C4×D4C23×C1711yescharacteristic
1228C4×D4C23×C1711yescharacteristic
1229C4×D4C23×C1711yescharacteristic
1230C4×D4C23×C1711yescharacteristic
1231C4×D4C23×C1711yescharacteristic
1232C4×D4C23×C1711yescharacteristic
1233C4×D4C23×C1711yescharacteristic
1234C4×D4C23×C1711yescharacteristic
1235C4×D4C23×C1711yescharacteristic
1236C4×D4C23×C1711yescharacteristic
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117C23×C1711yescharacteristic
1245#117C23×C1711yescharacteristic
1246#117C23×C1711yescharacteristic
1247#117C23×C1711yescharacteristic
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4C23×C1711yescharacteristic
1255C2×C4⋊C4C23×C1711yescharacteristic
1256C2×C4⋊C4C23×C1711yescharacteristic
1257C2×C4⋊C4C23×C1711yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C42—21no—
1263C2×C42—21no—
1264C2×C42C23×C1711yescharacteristic
1265#107C23×C1711yescharacteristic
1266#107C23×C1711yescharacteristic
1267#107C23×C1711yescharacteristic
1268#107C23×C1711yescharacteristic
1269#107C23×C1711yescharacteristic
1270#107C23×C1711yescharacteristic
1271#107C23×C1711yescharacteristic
1272#107C23×C1711yescharacteristic
1273#106C23×C1711yescharacteristic
1274#106C23×C1711yescharacteristic
1275#106C23×C1711yescharacteristic
1276#106C23×C1711yescharacteristic
1277#106C23×C1711yescharacteristic
1278#106C23×C1711yescharacteristic
1279#106C23×C1711yescharacteristic
1280#106C23×C1711yescharacteristic
1281C4⋊C8C23×C1711yescharacteristic
1282C4⋊C8C23×C1711yescharacteristic
1283C4⋊C8C23×C1711yescharacteristic
1284C4⋊C8C23×C1711yescharacteristic
1285C4⋊C8C23×C1711yescharacteristic
1286C4⋊C8C23×C1711yescharacteristic
1287#103C23×C1711yescharacteristic
1288#103C23×C1711yescharacteristic
1289#103C23×C1711yescharacteristic
1290#103C23×C1711yescharacteristic
1291#103C23×C1711yescharacteristic
1292#103C23×C1711yescharacteristic
1293#103C23×C1711yescharacteristic
1294#103C23×C1711yescharacteristic
1295#103C23×C1711yescharacteristic
1296#103C23×C1711yescharacteristic
1297#103C23×C1711yescharacteristic
1298#103C23×C1711yescharacteristic
1299#103C23×C1711yescharacteristic
1300#103C23×C1711yescharacteristic
1301#103C23×C1711yescharacteristic
1302#103C23×C1711yescharacteristic
1303#102C23×C1711yescharacteristic
1304#102C23×C1711yescharacteristic
1305#102C23×C1711yescharacteristic
1306#102C23×C1711yescharacteristic
1307#102C23×C1711yescharacteristic
1308#102C23×C1711yescharacteristic
1309#102C23×C1711yescharacteristic
1310#102C23×C1711yescharacteristic
1311#102C23×C1711yescharacteristic
1312#102C23×C1711yescharacteristic
1313#102C23×C1711yescharacteristic
1314#102C23×C1711yescharacteristic
1315#102C23×C1711yescharacteristic
1316#102C23×C1711yescharacteristic
1317#102C23×C1711yescharacteristic
1318#102C23×C1711yescharacteristic
1319C22⋊C8C23×C1711yescharacteristic
1320C22⋊C8C23×C1711yescharacteristic
1321C22⋊C8C23×C1711yescharacteristic
1322C22⋊C8C23×C1711yescharacteristic
1323C22⋊C8C23×C1711yescharacteristic
1324C22⋊C8C23×C1711yescharacteristic
1325#97C23×C1711yescharacteristic
1326#97C23×C1711yescharacteristic
1327#97C23×C1711yescharacteristic
1328#97C23×C1711yescharacteristic
1329#97C23×C1711yescharacteristic
1330#97C23×C1711yescharacteristic
1331C4×C8C23×C1711yescharacteristic
1332C4×C8C23×C1711yescharacteristic
1333C4×C8C23×C1711yescharacteristic
1334C4×C8C23×C1711yescharacteristic
1335C17#6151811yescharacteristic, direct product factor, Sylow
1336C24—21no—
1337#41—22no—
1338#41—22no—
1339#41—22no—
1340#41—22no—
1341#41—41no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—82no—
1346#41—82no—
1347#41—82no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8—21no—
1353C2×Q8—22no—
1354C2×Q8—41no—
1355C2×Q8C2×D4×C1711yescharacteristic
1356C2×Q8C24×C1711yescharacteristic
1357C2×Q8C24×C1711yescharacteristic
1358C2×Q8C24×C1711yescharacteristic
1359C2×Q8C24×C1711yescharacteristic
1360C2×D4—22no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4C2×D4×C1711yescharacteristic
1376C2×D4C2×D4×C1711yescharacteristic
1377C2×D4C2×D4×C1711yescharacteristic
1378C2×D4C24×C1711yescharacteristic
1379C2×D4C24×C1711yescharacteristic
1380C2×D4C24×C1711yescharacteristic
1381C2×D4C24×C1711yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4C2×D4×C1711yescharacteristic
1402C22×C4C2×D4×C1711yescharacteristic
1403C22×C4C24×C1711yescharacteristic
1404C22×C4C24×C1711yescharacteristic
1405C22×C4C24×C1711yescharacteristic
1406Q16—22no—
1407Q16—22no—
1408Q16—22no—
1409Q16—41no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417SD16#41×C1714yescomplemented
1418D8—22no—
1419D8—22no—
1420D8—22no—
1421D8—41no—
1422M16—22no—
1423M16—22no—
1424M16—41no—
1425M16—41no—
1426C2×C8—22no—
1427C2×C8—41no—
1428C2×C8C24×C1711yescharacteristic
1429C2×C8C24×C1711yescharacteristic
1430C2×C8C24×C1711yescharacteristic
1431C2×C8C24×C1711yescharacteristic
1432C2×C8C24×C1711yescharacteristic
1433C2×C8C24×C1711yescharacteristic
1434C2×C8C24×C1711yescharacteristic
1435C2×C8C24×C1711yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4C2×D4×C1711yescharacteristic
1467C4⋊C4C2×D4×C1711yescharacteristic
1468C4⋊C4C2×D4×C1711yescharacteristic
1469C4⋊C4C2×D4×C1711yescharacteristic
1470C4⋊C4C2×D4×C1711yescharacteristic
1471C4⋊C4C2×D4×C1711yescharacteristic
1472C4⋊C4C2×D4×C1711yescharacteristic
1473C4⋊C4C2×D4×C1711yescharacteristic
1474C4⋊C4C2×D4×C1711yescharacteristic
1475C4⋊C4C2×D4×C1711yescharacteristic
1476C4⋊C4C24×C1711yescharacteristic
1477C4⋊C4C24×C1711yescharacteristic
1478C4⋊C4C24×C1711yescharacteristic
1479C4⋊C4C24×C1711yescharacteristic
1480C4⋊C4C24×C1711yescharacteristic
1481C4⋊C4C24×C1711yescharacteristic
1482C4⋊C4C24×C1711yescharacteristic
1483C4⋊C4C24×C1711yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
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⋊C4C2×D4×C1711yescharacteristic
1517C22⋊C4C2×D4×C1711yescharacteristic
1518C22⋊C4C2×D4×C1711yescharacteristic
1519C22⋊C4C2×D4×C1711yescharacteristic
1520C22⋊C4C2×D4×C1711yescharacteristic
1521C22⋊C4C2×D4×C1711yescharacteristic
1522C22⋊C4C2×D4×C1711yescharacteristic
1523C22⋊C4C2×D4×C1711yescharacteristic
1524C22⋊C4C2×D4×C1711yescharacteristic
1525C22⋊C4C2×D4×C1711yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42C2×D4×C1711yescharacteristic
1539C42C2×D4×C1711yescharacteristic
1540C42C24×C1711yescharacteristic
1541C42C24×C1711yescharacteristic
1542C42C24×C1711yescharacteristic
1543C42C24×C1711yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—81no—
1550C23—81no—
1551C23C22×D4×C1711yescharacteristic
1552C23C22×D4×C1711yescharacteristic
1553C23C22×D4×C1711yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—41no—
1562Q8—42no—
1563Q8—81no—
1564Q8—81no—
1565Q8—81no—
1566Q8—81no—
1567Q8C2×#41×C1712yes—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4C2×#41×C1712yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4C22×D4×C1711yescharacteristic
1632C2×C4C22×D4×C1711yescharacteristic
1633C2×C4C22×D4×C1711yescharacteristic
1634C2×C4C22×D4×C1711yescharacteristic
1635C2×C4C22×D4×C1711yescharacteristic
1636C2×C4C22×D4×C1711yescharacteristic
1637C2×C4C22×D4×C1711yescharacteristic
1638C2×C4C22×D4×C1711yescharacteristic
1639C2×C4C22×D4×C1711yescharacteristic
1640C2×C4C22×D4×C1711yescharacteristic
1641C2×C4C22×D4×C1711yescharacteristic
1642C2×C4C25×C1711yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8C2×#41×C1712yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—162no—
1673C22C23×D4×C1711yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—22no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4C22×#41×C1711yescharacteristic
1698C4C17×#58511yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—81no—
1706C2D4×#41×C1711yescharacteristic
1707C2C17×#358511yescharacteristic
1708C2C17×#358611yescharacteristic
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×#3522C2semidirect
2. C17×#3521C2semidirect
3. C17×#3401C2semidirect
4. C17×#3385C2semidirect
5. C17×#3370C2semidirect
6. C17×#3369C2semidirect
7. C17×#3353C2semidirect
8. C17×#3345C2semidirect
9. C17×#3344C2semidirect
10. C17×#3330C2semidirect
11. C17×#3326C2semidirect
12. C17×#3317C2semidirect
13. C17×#3314C2semidirect
14. C17×#3313C2semidirect
15. C17×#3306C2semidirect
16. C17×#3275C2semidirect
17. C17×#3269C2semidirect
18. C17×#3268C2semidirect
19. C17×#3178C2semidirect
20. C17×#3175C2semidirect
21. C17×#3171C2semidirect
22. C17×#3125C2semidirect
23. C17×#3124C2semidirect
24. C17×#3120C2semidirect
25. C17×#3118C2semidirect
26. C17×#3117C2semidirect
27. C17×#3115C2semidirect
28. C17×#2967C2semidirect
29. C17×#2952C2semidirect
30. C17×#2946C2semidirect
31. C4×C17×#137C2semidirect
36. C17×#559C22semidirect
37. Q82×C17C22semidirect
51. C17×#548C22semidirect
56. C17×#547C22semidirect
63. C17×#542C22semidirect
68. C17×#532C22semidirect
76. C17×#520C22semidirect
79. C2×C4×Q8×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#500C22semidirect
83. C17×#497C22semidirect
86. C17×#490C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#487C22semidirect
94. C17×#484C22semidirect
95. C17×#484C22semidirect
97. C17×#483C22semidirect
99. C17×#482C22semidirect
100. C17×#482C22semidirect
102. C17×#481C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
107. C17×#478C22semidirect
108. C17×#477C22semidirect
111. C17×#475C22semidirect
112. C17×#475C22semidirect
115. C17×#474C22semidirect
121. C17×#468C22semidirect
122. C17×#468C22semidirect
123. C17×#468C22semidirect
125. C17×#467C22semidirect
131. C17×#464C22semidirect
136. C17×#462C22semidirect
137. C17×#461C22semidirect
138. C17×#460C22semidirect
143. C17×#452C22semidirect
144. C17×#451C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
158. C17×#441C22semidirect
159. C17×#441C22semidirect
160. C17×#441C22semidirect
161. C17×#441C22semidirect
162. C17×#441C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
170. C4×Q16×C17C22semidirect
171. C4×Q16×C17C22semidirect
176. C4×SD16×C17C22semidirect
177. C4×SD16×C17C22semidirect
178. C4×SD16×C17C22semidirect
183. C17×#436C22semidirect
187. C17×#435C22semidirect
189. C17×#433C22semidirect
190. C17×#432C22semidirect
192. C17×#428C22semidirect
193. C2×C17×#106C22semidirect
194. C17×#419C22semidirect
197. C17×#417C22semidirect
201. C17×#405C22semidirect
202. C4×M16×C17C22semidirect
562. SD16×C17#41semidirect
689. #61518C17direct (N × H)
797. #3522C2×C17semidirect
798. #3521C2×C17semidirect
799. #3401C2×C17semidirect
800. #3385C2×C17semidirect
801. #3370C2×C17semidirect
802. #3369C2×C17semidirect
803. #3353C2×C17semidirect
804. #3345C2×C17semidirect
805. #3344C2×C17semidirect
806. #3330C2×C17semidirect
807. #3326C2×C17semidirect
808. #3317C2×C17semidirect
809. #3314C2×C17semidirect
810. #3313C2×C17semidirect
811. #3306C2×C17semidirect
812. #3275C2×C17semidirect
813. #3269C2×C17semidirect
814. #3268C2×C17semidirect
815. #3178C2×C17semidirect
816. #3175C2×C17semidirect
817. #3171C2×C17semidirect
818. #3125C2×C17semidirect
819. #3124C2×C17semidirect
820. #3120C2×C17semidirect
821. #3118C2×C17semidirect
822. #3117C2×C17semidirect
823. #3115C2×C17semidirect
824. #2967C2×C17semidirect
825. #2952C2×C17semidirect
826. #2946C2×C17semidirect
827. C4×#137C2×C17semidirect
880. #559C22×C17semidirect
881. Q82C22×C17semidirect
895. #548C22×C17semidirect
900. #547C22×C17semidirect
907. #542C22×C17semidirect
912. #532C22×C17semidirect
920. #520C22×C17semidirect
923. C2×C4×Q8C22×C17semidirect
924. #501C22×C17semidirect
925. #501C22×C17semidirect
926. #500C22×C17semidirect
927. #497C22×C17semidirect
930. #490C22×C17semidirect
933. #489C22×C17semidirect
934. #488C22×C17semidirect
935. #487C22×C17semidirect
938. #484C22×C17semidirect
939. #484C22×C17semidirect
941. #483C22×C17semidirect
943. #482C22×C17semidirect
944. #482C22×C17semidirect
946. #481C22×C17semidirect
948. #479C22×C17semidirect
949. #479C22×C17semidirect
950. #479C22×C17semidirect
951. #478C22×C17semidirect
952. #477C22×C17semidirect
955. #475C22×C17semidirect
956. #475C22×C17semidirect
959. #474C22×C17semidirect
965. #468C22×C17semidirect
966. #468C22×C17semidirect
967. #468C22×C17semidirect
969. #467C22×C17semidirect
975. #464C22×C17semidirect
980. #462C22×C17semidirect
981. #461C22×C17semidirect
982. #460C22×C17semidirect
987. #452C22×C17semidirect
988. #451C22×C17semidirect
996. #446C22×C17semidirect
997. #446C22×C17semidirect
1002. #441C22×C17semidirect
1003. #441C22×C17semidirect
1004. #441C22×C17semidirect
1005. #441C22×C17semidirect
1006. #441C22×C17semidirect
1012. #440C22×C17semidirect
1013. #440C22×C17semidirect
1014. C4×Q16C22×C17semidirect
1015. C4×Q16C22×C17semidirect
1020. C4×SD16C22×C17semidirect
1021. C4×SD16C22×C17semidirect
1022. C4×SD16C22×C17semidirect
1027. #436C22×C17semidirect
1031. #435C22×C17semidirect
1033. #433C22×C17semidirect
1034. #432C22×C17semidirect
1036. #428C22×C17semidirect
1037. C2×#106C22×C17semidirect
1038. #419C22×C17semidirect
1041. #417C22×C17semidirect
1045. #405C22×C17semidirect
1046. C4×M16C22×C17semidirect
1335. C17#61518direct (N × H)
1417. SD16#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35222
C17×#35212
C17×#34012
C17×#33852
C17×#33702
C17×#33692
C17×#33532
C17×#33452
C17×#33442
C17×#33302
C17×#33262
C17×#33172
C17×#33142
C17×#33132
C17×#33062
C17×#32752
C17×#32692
C17×#32682
C17×#31782
C17×#31752
C17×#31712
C17×#31252
C17×#31242
C17×#31202
C17×#31182
C17×#31172
C17×#31152
C17×#29672
C17×#29522
C17×#29462
C4×C17×#1372
#6151817