Finite Group Databasebeta

← C17×#61531 #16919275

Subgroups — C17×#61531 #16919275

Order 4352.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3521C211yesmaximal, characteristic, complemented
2C17×#3517C211yesmaximal, characteristic, complemented
3C17×#3397C211yesmaximal, characteristic, complemented
4C17×#3388C211yesmaximal, characteristic, complemented
5C17×#3377C211yesmaximal, characteristic, complemented
6C17×#3366C211yesmaximal, characteristic, complemented
7C17×#3350C211yesmaximal, characteristic, complemented
8C17×#3343C211yesmaximal, characteristic, complemented
9C17×#3339C211yesmaximal, characteristic, complemented
10C17×#3317C211yesmaximal, characteristic, complemented
11C17×#3309C211yesmaximal, characteristic, complemented
12C17×#3307C211yesmaximal, characteristic, complemented
13C17×#3306C211yesmaximal, characteristic, complemented
14C17×#3304C211yesmaximal, characteristic, complemented
15C17×#3297C211yesmaximal, characteristic, complemented
16C17×#3284C211yesmaximal, characteristic, complemented
17C17×#3268C211yesmaximal, characteristic, complemented
18C17×#3268C211yesmaximal, characteristic, complemented
19C17×#3180C211yesmaximal, characteristic, complemented
20C17×#3179C211yesmaximal, characteristic, complemented
21C17×#3174C211yesmaximal, characteristic, complemented
22C17×#3125C211yesmaximal, characteristic, complemented
23C17×#3122C211yesmaximal, characteristic, complemented
24C17×#3120C211yesmaximal, characteristic, complemented
25C17×#3119C211yesmaximal, characteristic, complemented
26C17×#3106C211yesmaximal, characteristic, complemented
27C17×#3102C211yesmaximal, characteristic, complemented
28C17×#2968C211yesmaximal, characteristic, complemented
29C17×#2951C211yesmaximal, characteristic, complemented
30C17×#2946C211yesmaximal, characteristic, complemented
31C17×#2943C211yesmaximal, characteristic, complemented
32C2×C17×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C17×#135C2211yescharacteristic
34C2×C17×#135C2211yescharacteristic
35C17×#557C2211yescharacteristic, complemented
36C17×#556C2211yescharacteristic
37C17×#556C2211yescharacteristic
38C17×#554C2211yescharacteristic
39C17×#553—21no—
40C17×#553—21no—
41C17×#553—21no—
42C17×#553C2211yescharacteristic
43C17×#553C2211yescharacteristic
44C17×#553C2211yescharacteristic, complemented
45C17×#552—21no—
46C17×#552C2211yescharacteristic
47C17×#551—21no—
48C17×#551—21no—
49C17×#550—21no—
50C17×#550C2211yescharacteristic
51C17×#550C2211yescharacteristic
52C17×#550C2211yescharacteristic, complemented
53C17×#550C2211yescharacteristic, complemented
54C17×#547—21no—
55C17×#547C2211yescharacteristic
56C17×#547C2211yescharacteristic
57C17×#546C2211yescharacteristic
58C17×#546C2211yescharacteristic
59C17×#542C2211yescharacteristic
60C17×#541C2211yescharacteristic
61C17×#540—21no—
62C17×#540—21no—
63C17×#540C2211yescharacteristic
64C17×#540C2211yescharacteristic, complemented
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
79C4×#41×C17C2211yescharacteristic, complemented
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#496C2211yescharacteristic
84C17×#496C2211yescharacteristic
85C17×#492C2211yescharacteristic, complemented
86C17×#491C2211yescharacteristic, complemented
87C17×#490C2211yescharacteristic, complemented
88C17×#490C2211yescharacteristic, complemented
89C17×#489C2211yescharacteristic
90C17×#488C2211yescharacteristic
91C17×#486C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#484C2211yescharacteristic
94C17×#483C2211yescharacteristic
95C17×#483C2211yescharacteristic, complemented
96C17×#482C2211yescharacteristic
97C17×#482C2211yescharacteristic
98C17×#482C2211yescharacteristic
99C17×#482C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic, complemented
101C17×#481C2211yescharacteristic
102C17×#481C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#478C2211yescharacteristic
108C17×#478C2211yescharacteristic
109C17×#478C2211yescharacteristic
110C17×#478C2211yescharacteristic, complemented
111C17×#478C2211yescharacteristic, complemented
112C17×#477C2211yescharacteristic, complemented
113C17×#476C2211yescharacteristic
114C17×#476C2211yescharacteristic, complemented
115C17×#475C2211yescharacteristic, complemented
116C17×#469C2211yescharacteristic
117C17×#468C2211yescharacteristic
118C17×#468C2211yescharacteristic
119C17×#468C2211yescharacteristic, complemented
120C17×#466C2211yescharacteristic
121C17×#466C2211yescharacteristic
122C17×#466C2211yescharacteristic
123C17×#465C2211yescharacteristic
124C17×#465C2211yescharacteristic
125C17×#465C2211yescharacteristic, complemented
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic
129C17×#464C2211yescharacteristic
130C17×#463C2211yescharacteristic
131C17×#463C2211yescharacteristic
132C17×#462C2211yescharacteristic, complemented
133C17×#461C2211yescharacteristic, complemented
134C17×#460C2211yescharacteristic, complemented
135C17×#460C2211yescharacteristic, complemented
136C17×#459C2211yescharacteristic
137C17×#459C2211yescharacteristic
138C17×#459C2211yescharacteristic
139C17×#459C2211yescharacteristic
140C17×#452C2211yescharacteristic
141C17×#452C2211yescharacteristic
142C17×#452C2211yescharacteristic, complemented
143C17×#452C2211yescharacteristic, complemented
144C17×#449C2211yescharacteristic
145C17×#449C2211yescharacteristic
146C17×#449C2211yescharacteristic
147C17×#449C2211yescharacteristic
148C17×#449C2211yescharacteristic
149C17×#449C2211yescharacteristic
150C17×#447C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#442C2211yescharacteristic
158C17×#442C2211yescharacteristic
159C17×#441C2211yescharacteristic, complemented
160C17×#441C2211yescharacteristic, complemented
161C17×#440C2211yescharacteristic
162C17×#440C2211yescharacteristic
163C17×#440C2211yescharacteristic
164C17×#440C2211yescharacteristic
165C17×#440C2211yescharacteristic, complemented
166C17×#440C2211yescharacteristic, complemented
167C17×#440C2211yescharacteristic, complemented
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, complemented
170C4×Q16×C17C2211yescharacteristic, complemented
171C4×Q16×C17C2211yescharacteristic, complemented
172C4×SD16×C17C2211yescharacteristic
173C4×SD16×C17C2211yescharacteristic
174C4×SD16×C17C2211yescharacteristic, complemented
175C4×SD16×C17C2211yescharacteristic, complemented
176C4×SD16×C17C2211yescharacteristic, complemented
177C4×D8×C17C2211yescharacteristic
178C4×D8×C17C2211yescharacteristic
179C4×D8×C17C2211yescharacteristic
180C4×D8×C17C2211yescharacteristic
181C4×D8×C17C2211yescharacteristic
182C17×#435C2211yescharacteristic
183C17×#435C2211yescharacteristic
184C17×#435C2211yescharacteristic
185C17×#435C2211yescharacteristic, complemented
186C8×D4×C17C2211yescharacteristic
187C8×D4×C17C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic
189C17×#433C2211yescharacteristic, complemented
190C17×#431C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic
192C17×#427C2211yescharacteristic, complemented
193C2×C17×#107C2211yescharacteristic, complemented
194C17×#417C2211yescharacteristic
195C17×#417C2211yescharacteristic, complemented
196C17×#416C2211yescharacteristic
197C17×#416C2211yescharacteristic
198C17×#416C2211yescharacteristic, complemented
199C2×C17×#102C2211yescharacteristic
200C17×#405C2211yescharacteristic
201C17×#405C2211yescharacteristic, complemented
202C2×C17×#97C2211yescharacteristic, 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
210C2×#41×C17C2311yescharacteristic
211C22×D4×C17C2311yescharacteristic
212C17×AGL(1,ℤ/8)—24no—
213C17×#135—24no—
214C17×#135—24no—
215C2×Q16×C17C2311yescharacteristic
216C2×Q16×C17C2311yescharacteristic
217C2×SD16×C17C2311yescharacteristic
218C2×SD16×C17C2311yescharacteristic
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×D8×C17C2311yescharacteristic
226C2×D8×C17C2311yescharacteristic
227C2×D8×C17C2311yescharacteristic
228C2×D8×C17C2311yescharacteristic
229C2×D8×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×M16×C17C2311yescharacteristic
232C2×M16×C17C2311yescharacteristic
233C22×C8×C17C2311yescharacteristic
234C22×C8×C17C2311yescharacteristic
235C22×C8×C17C2311yescharacteristic
236C22×C8×C17C2311yescharacteristic
237C17×C4⋊Q8—21no—
238C17×C4⋊Q8C2311yescharacteristic
239C17×C4⋊Q8C2311yescharacteristic
240C17×C4⋊Q8C2311yescharacteristic
241C17×#127—21no—
242C17×#127—21no—
243C17×#127—21no—
244C17×#127C2311yescharacteristic
245C17×#127C2311yescharacteristic
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×#125—21no—
266C17×#125D411yescharacteristic
267C17×#125C2311yescharacteristic
268C17×#125C2311yescharacteristic
269C17×#125C2311yescharacteristic
270C17×#125C2311yescharacteristic
271C17×#124—21no—
272C17×#124—21no—
273C17×#124—21no—
274C17×#124D411yescharacteristic
275C17×#124C2311yescharacteristic
276C17×#124C2311yescharacteristic
277C17×#123—21no—
278C17×#123—21no—
279C17×#123—21no—
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×#123—21no—
291C17×#123—21no—
292C17×#123—21no—
293C17×#123D411yescharacteristic
294C17×#123D411yescharacteristic
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⋊Q8D411yescharacteristic
302C17×C22⋊Q8C2311yescharacteristic
303C17×C22⋊Q8C2311yescharacteristic
304C17×C22⋊Q8C2311yescharacteristic
305C17×C22⋊Q8C2311yescharacteristic
306C17×#121—21no—
307C17×#121—21no—
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×#121—21no—
326C17×#121D411yescharacteristic
327C17×#121C2311yescharacteristic
328C17×#121C2311yescharacteristic
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×C17C2311yescharacteristic
340C4×Q8×C17C2311yescharacteristic
341C4×Q8×C17C2311yescharacteristic
342C4×Q8×C17C2311yescharacteristic
343C4×Q8×C17C2311yescharacteristic
344C4×Q8×C17C2311yescharacteristic
345C4×Q8×C17C2311yescharacteristic
346C4×Q8×C17C2311yescharacteristic
347C4×Q8×C17C2311yescharacteristic
348C4×D4×C17—21no—
349C4×D4×C17—21no—
350C4×D4×C17—21no—
351C4×D4×C17—21no—
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×C17C2311yescharacteristic
369C4×D4×C17C2311yescharacteristic
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×#117—21no—
391C17×#117C2311yescharacteristic
392C17×#117C2311yescharacteristic
393C17×#117C2311yescharacteristic
394C17×#117C2311yescharacteristic
395C17×#117C2311yescharacteristic
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17—21no—
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×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×#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—
482#41×C17—22no—
483#41×C17—22no—
484#41×C17—22no—
485#41×C17—22no—
486#41×C17—22no—
487#41×C17—41no—
488#41×C17—41no—
489#41×C17—41no—
490#41×C17—41no—
491#41×C17—41no—
492#41×C17—82no—
493#41×C17—82no—
494#41×C17—82no—
495C2×Q8×C17—21no—
496C2×Q8×C17—21no—
497C2×Q8×C17C2×D411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×Q8×C17C2411yescharacteristic
500C2×Q8×C17C2411yescharacteristic
501C2×D4×C17—22no—
502C2×D4×C17—21no—
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—21no—
522C2×D4×C17—41no—
523C2×D4×C17C2×D411yescharacteristic
524C2×D4×C17C2×D411yescharacteristic
525C2×D4×C17C2×D411yescharacteristic
526C2×D4×C17C2411yescharacteristic
527C2×D4×C17C2411yescharacteristic
528C2×D4×C17C2411yescharacteristic
529C2×D4×C17C2411yescharacteristic
530C2×D4×C17C2411yescharacteristic
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×C17—21no—
547C22×C4×C17—21no—
548C22×C4×C17—21no—
549C22×C4×C17—21no—
550C22×C4×C17—21no—
551C22×C4×C17C2×D411yescharacteristic
552C22×C4×C17C2×D411yescharacteristic
553C22×C4×C17C2411yescharacteristic
554C22×C4×C17C2411yescharacteristic
555C22×C4×C17C2411yescharacteristic
556Q16×C17—22no—
557Q16×C17—22no—
558SD16×C17—22no—
559SD16×C17—22no—
560SD16×C17—22no—
561SD16×C17—41no—
562SD16×C17—41no—
563SD16×C17—41no—
564SD16×C17—41no—
565SD16×C17#4114yescomplemented
566D8×C17—22no—
567D8×C17—22no—
568D8×C17—22no—
569D8×C17—22no—
570D8×C17—41no—
571D8×C17—41no—
572M16×C17—22no—
573M16×C17—41no—
574C2×C8×C17—22no—
575C2×C8×C17—22no—
576C2×C8×C17—41no—
577C2×C8×C17—41no—
578C2×C8×C17C2411yescharacteristic
579C2×C8×C17C2411yescharacteristic
580C2×C8×C17C2411yescharacteristic
581C2×C8×C17C2411yescharacteristic
582C2×C8×C17C2411yescharacteristic
583C2×C8×C17C2411yescharacteristic
584C2×C8×C17C2411yescharacteristic
585C2×C8×C17C2411yescharacteristic
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×C17—21no—
612C4⋊C4×C17—21no—
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×C17C2×D411yescharacteristic
622C4⋊C4×C17C2×D411yescharacteristic
623C4⋊C4×C17C2411yescharacteristic
624C4⋊C4×C17C2411yescharacteristic
625C4⋊C4×C17C2411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C4⋊C4×C17C2411yescharacteristic
628C4⋊C4×C17C2411yescharacteristic
629C4⋊C4×C17C2411yescharacteristic
630C4⋊C4×C17C2411yescharacteristic
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×C17—21no—
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
671C22⋊C4×C17C2×D411yescharacteristic
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#61531C1711yesmaximal, characteristic, direct product factor, Sylow
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—42no—
696C23×C17—81no—
697C23×C17—81no—
698C23×C17C22×D411yescharacteristic
699C23×C17C22×D411yescharacteristic
700C23×C17C22×D411yescharacteristic
701Q8×C17—21no—
702Q8×C17—21no—
703Q8×C17—21no—
704Q8×C17—21no—
705Q8×C17—21no—
706Q8×C17—41no—
707Q8×C17—42no—
708Q8×C17—81no—
709Q8×C17C2×#4112yes—
710D4×C17—21no—
711D4×C17—21no—
712D4×C17—21no—
713D4×C17—21no—
714D4×C17—21no—
715D4×C17—21no—
716D4×C17—21no—
717D4×C17—21no—
718D4×C17—21no—
719D4×C17—41no—
720D4×C17—41no—
721D4×C17—41no—
722D4×C17—42no—
723D4×C17—42no—
724D4×C17—42no—
725D4×C17—42no—
726D4×C17—42no—
727D4×C17—42no—
728D4×C17—42no—
729D4×C17—81no—
730D4×C17—81no—
731D4×C17—81no—
732D4×C17—81no—
733D4×C17—81no—
734D4×C17—81no—
735D4×C17—81no—
736D4×C17—81no—
737D4×C17—81no—
738D4×C17—81no—
739D4×C17—81no—
740D4×C17—81no—
741D4×C17—81no—
742D4×C17C2×#4112yes—
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—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—41no—
761C2×C4×C17—41no—
762C2×C4×C17—42no—
763C2×C4×C17—42no—
764C2×C4×C17—42no—
765C2×C4×C17—42no—
766C2×C4×C17—42no—
767C2×C4×C17—42no—
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×C17—81no—
778C2×C4×C17—81no—
779C2×C4×C17—81no—
780C2×C4×C17—81no—
781C2×C4×C17—81no—
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×C17C22×D411yescharacteristic
789C2×C4×C17C22×D411yescharacteristic
790C2×C4×C17C22×D411yescharacteristic
791C2×C4×C17C22×D411yescharacteristic
792C2×C4×C17C22×D411yescharacteristic
793C2×C4×C17C2511yescharacteristic
794C8×C17—21no—
795C8×C17—21no—
796C8×C17—21no—
797C8×C17—21no—
798C8×C17—21no—
799C8×C17—21no—
800C8×C17—21no—
801C8×C17C2×#4112yes—
802#3521C2×C1711yescharacteristic, complemented
803#3517C2×C1711yescharacteristic, complemented
804#3397C2×C1711yescharacteristic, complemented
805#3388C2×C1711yescharacteristic, complemented
806#3377C2×C1711yescharacteristic, complemented
807#3366C2×C1711yescharacteristic, complemented
808#3350C2×C1711yescharacteristic, complemented
809#3343C2×C1711yescharacteristic, complemented
810#3339C2×C1711yescharacteristic, complemented
811#3317C2×C1711yescharacteristic, complemented
812#3309C2×C1711yescharacteristic, complemented
813#3307C2×C1711yescharacteristic, complemented
814#3306C2×C1711yescharacteristic, complemented
815#3304C2×C1711yescharacteristic, complemented
816#3297C2×C1711yescharacteristic, complemented
817#3284C2×C1711yescharacteristic, complemented
818#3268C2×C1711yescharacteristic, complemented
819#3268C2×C1711yescharacteristic, complemented
820#3180C2×C1711yescharacteristic, complemented
821#3179C2×C1711yescharacteristic, complemented
822#3174C2×C1711yescharacteristic, complemented
823#3125C2×C1711yescharacteristic, complemented
824#3122C2×C1711yescharacteristic, complemented
825#3120C2×C1711yescharacteristic, complemented
826#3119C2×C1711yescharacteristic, complemented
827#3106C2×C1711yescharacteristic, complemented
828#3102C2×C1711yescharacteristic, complemented
829#2968C2×C1711yescharacteristic, complemented
830#2951C2×C1711yescharacteristic, complemented
831#2946C2×C1711yescharacteristic, complemented
832#2943C2×C1711yescharacteristic, complemented
833C22×C17—21no—
834C22×C17—21no—
835C22×C17—21no—
836C22×C17—21no—
837C22×C17—21no—
838C22×C17—21no—
839C22×C17—21no—
840C22×C17—21no—
841C22×C17—21no—
842C22×C17—22no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
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—162no—
858C22×C17C23×D411yescharacteristic
859C4×C17—21no—
860C4×C17—21no—
861C4×C17—21no—
862C4×C17—21no—
863C4×C17—21no—
864C4×C17—21no—
865C4×C17—21no—
866C4×C17—21no—
867C4×C17—21no—
868C4×C17—21no—
869C4×C17—21no—
870C4×C17—22no—
871C4×C17—41no—
872C4×C17—41no—
873C4×C17—41no—
874C4×C17—41no—
875C4×C17—41no—
876C4×C17—41no—
877C4×C17—41no—
878C4×C17—41no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17C22×#4111yescharacteristic
882C4×C17#58511yescharacteristic
883C2×AGL(1,ℤ/8)C22×C1711yescharacteristic
884C2×#135C22×C1711yescharacteristic
885C2×#135C22×C1711yescharacteristic
886#557C22×C1711yescharacteristic, complemented
887#556C22×C1711yescharacteristic
888#556C22×C1711yescharacteristic
889#554C22×C1711yescharacteristic
890#553—21no—
891#553—21no—
892#553—21no—
893#553C22×C1711yescharacteristic
894#553C22×C1711yescharacteristic
895#553C22×C1711yescharacteristic, complemented
896#552—21no—
897#552C22×C1711yescharacteristic
898#551—21no—
899#551—21no—
900#550—21no—
901#550C22×C1711yescharacteristic
902#550C22×C1711yescharacteristic
903#550C22×C1711yescharacteristic, complemented
904#550C22×C1711yescharacteristic, complemented
905#547—21no—
906#547C22×C1711yescharacteristic
907#547C22×C1711yescharacteristic
908#546C22×C1711yescharacteristic
909#546C22×C1711yescharacteristic
910#542C22×C1711yescharacteristic
911#541C22×C1711yescharacteristic
912#540—21no—
913#540—21no—
914#540C22×C1711yescharacteristic
915#540C22×C1711yescharacteristic, complemented
916#539—21no—
917#538—21no—
918#532—21no—
919#532C22×C1711yescharacteristic, complemented
920#529—21no—
921#529—21no—
922#529C22×C1711yescharacteristic
923#529C22×C1711yescharacteristic
924C2×#126—21no—
925#520C22×C1711yescharacteristic
926#520C22×C1711yescharacteristic
927#520C22×C1711yescharacteristic, complemented
928#518C22×C1711yescharacteristic
929C4×#41C22×C1711yescharacteristic
930C4×#41C22×C1711yescharacteristic, complemented
931#501C22×C1711yescharacteristic, complemented
932#501C22×C1711yescharacteristic, complemented
933#499C22×C1711yescharacteristic, complemented
934#496C22×C1711yescharacteristic
935#496C22×C1711yescharacteristic
936#492C22×C1711yescharacteristic, complemented
937#491C22×C1711yescharacteristic, complemented
938#490C22×C1711yescharacteristic, complemented
939#490C22×C1711yescharacteristic, complemented
940#489C22×C1711yescharacteristic
941#488C22×C1711yescharacteristic
942#486C22×C1711yescharacteristic, complemented
943#485C22×C1711yescharacteristic, complemented
944#484C22×C1711yescharacteristic
945#483C22×C1711yescharacteristic
946#483C22×C1711yescharacteristic, complemented
947#482C22×C1711yescharacteristic
948#482C22×C1711yescharacteristic
949#482C22×C1711yescharacteristic
950#482C22×C1711yescharacteristic, complemented
951#482C22×C1711yescharacteristic, complemented
952#481C22×C1711yescharacteristic
953#481C22×C1711yescharacteristic, complemented
954#480C22×C1711yescharacteristic, complemented
955#479C22×C1711yescharacteristic, complemented
956#479C22×C1711yescharacteristic, complemented
957#479C22×C1711yescharacteristic, complemented
958#478C22×C1711yescharacteristic
959#478C22×C1711yescharacteristic
960#478C22×C1711yescharacteristic
961#478C22×C1711yescharacteristic, complemented
962#478C22×C1711yescharacteristic, complemented
963#477C22×C1711yescharacteristic, complemented
964#476C22×C1711yescharacteristic
965#476C22×C1711yescharacteristic, complemented
966#475C22×C1711yescharacteristic, complemented
967#469C22×C1711yescharacteristic
968#468C22×C1711yescharacteristic
969#468C22×C1711yescharacteristic
970#468C22×C1711yescharacteristic, complemented
971#466C22×C1711yescharacteristic
972#466C22×C1711yescharacteristic
973#466C22×C1711yescharacteristic
974#465C22×C1711yescharacteristic
975#465C22×C1711yescharacteristic
976#465C22×C1711yescharacteristic, complemented
977#465C22×C1711yescharacteristic, complemented
978#465C22×C1711yescharacteristic, complemented
979#464C22×C1711yescharacteristic
980#464C22×C1711yescharacteristic
981#463C22×C1711yescharacteristic
982#463C22×C1711yescharacteristic
983#462C22×C1711yescharacteristic, complemented
984#461C22×C1711yescharacteristic, complemented
985#460C22×C1711yescharacteristic, complemented
986#460C22×C1711yescharacteristic, complemented
987#459C22×C1711yescharacteristic
988#459C22×C1711yescharacteristic
989#459C22×C1711yescharacteristic
990#459C22×C1711yescharacteristic
991#452C22×C1711yescharacteristic
992#452C22×C1711yescharacteristic
993#452C22×C1711yescharacteristic, complemented
994#452C22×C1711yescharacteristic, complemented
995#449C22×C1711yescharacteristic
996#449C22×C1711yescharacteristic
997#449C22×C1711yescharacteristic
998#449C22×C1711yescharacteristic
999#449C22×C1711yescharacteristic
1000#449C22×C1711yescharacteristic
1001#447C22×C1711yescharacteristic
1002#447C22×C1711yescharacteristic
1003#446C22×C1711yescharacteristic, complemented
1004#446C22×C1711yescharacteristic, complemented
1005#442C22×C1711yescharacteristic
1006#442C22×C1711yescharacteristic
1007#442C22×C1711yescharacteristic
1008#442C22×C1711yescharacteristic
1009#442C22×C1711yescharacteristic
1010#441C22×C1711yescharacteristic, complemented
1011#441C22×C1711yescharacteristic, complemented
1012#440C22×C1711yescharacteristic
1013#440C22×C1711yescharacteristic
1014#440C22×C1711yescharacteristic
1015#440C22×C1711yescharacteristic
1016#440C22×C1711yescharacteristic, complemented
1017#440C22×C1711yescharacteristic, complemented
1018#440C22×C1711yescharacteristic, complemented
1019#440C22×C1711yescharacteristic, complemented
1020#440C22×C1711yescharacteristic, complemented
1021C4×Q16C22×C1711yescharacteristic, complemented
1022C4×Q16C22×C1711yescharacteristic, complemented
1023C4×SD16C22×C1711yescharacteristic
1024C4×SD16C22×C1711yescharacteristic
1025C4×SD16C22×C1711yescharacteristic, complemented
1026C4×SD16C22×C1711yescharacteristic, complemented
1027C4×SD16C22×C1711yescharacteristic, complemented
1028C4×D8C22×C1711yescharacteristic
1029C4×D8C22×C1711yescharacteristic
1030C4×D8C22×C1711yescharacteristic
1031C4×D8C22×C1711yescharacteristic
1032C4×D8C22×C1711yescharacteristic
1033#435C22×C1711yescharacteristic
1034#435C22×C1711yescharacteristic
1035#435C22×C1711yescharacteristic
1036#435C22×C1711yescharacteristic, complemented
1037C8×D4C22×C1711yescharacteristic
1038C8×D4C22×C1711yescharacteristic, complemented
1039#433C22×C1711yescharacteristic
1040#433C22×C1711yescharacteristic, complemented
1041#431C22×C1711yescharacteristic, complemented
1042#428C22×C1711yescharacteristic
1043#427C22×C1711yescharacteristic, complemented
1044C2×#107C22×C1711yescharacteristic, complemented
1045#417C22×C1711yescharacteristic
1046#417C22×C1711yescharacteristic, complemented
1047#416C22×C1711yescharacteristic
1048#416C22×C1711yescharacteristic
1049#416C22×C1711yescharacteristic, complemented
1050C2×#102C22×C1711yescharacteristic
1051#405C22×C1711yescharacteristic
1052#405C22×C1711yescharacteristic, complemented
1053C2×#97C22×C1711yescharacteristic, complemented
1054C2×C17—41no—
1055C2×C17—41no—
1056C2×C17—41no—
1057C2×C17—42no—
1058C2×C17—81no—
1059C2×C17—81no—
1060C2×C17—81no—
1061C2×C17—81no—
1062C2×C17D4×#4111yescharacteristic
1063C2×C17#358411yescharacteristic
1064C2×C17#358511yescharacteristic
1065C2×#41—21no—
1066C2×#41—21no—
1067C2×#41—21no—
1068C2×#41C23×C1711yescharacteristic
1069C2×#41C23×C1711yescharacteristic
1070C2×#41C23×C1711yescharacteristic
1071C2×#41C23×C1711yescharacteristic
1072C2×#41C23×C1711yescharacteristic
1073C22×D4C23×C1711yescharacteristic
1074AGL(1,ℤ/8)—24no—
1075#135—24no—
1076#135—24no—
1077C2×Q16C23×C1711yescharacteristic
1078C2×Q16C23×C1711yescharacteristic
1079C2×SD16C23×C1711yescharacteristic
1080C2×SD16C23×C1711yescharacteristic
1081C2×SD16C23×C1711yescharacteristic
1082C2×SD16C23×C1711yescharacteristic
1083C2×SD16C23×C1711yescharacteristic
1084C2×SD16C23×C1711yescharacteristic
1085C2×SD16C23×C1711yescharacteristic
1086C2×SD16C23×C1711yescharacteristic
1087C2×D8C23×C1711yescharacteristic
1088C2×D8C23×C1711yescharacteristic
1089C2×D8C23×C1711yescharacteristic
1090C2×D8C23×C1711yescharacteristic
1091C2×D8C23×C1711yescharacteristic
1092C2×D8C23×C1711yescharacteristic
1093C2×M16C23×C1711yescharacteristic
1094C2×M16C23×C1711yescharacteristic
1095C22×C8C23×C1711yescharacteristic
1096C22×C8C23×C1711yescharacteristic
1097C22×C8C23×C1711yescharacteristic
1098C22×C8C23×C1711yescharacteristic
1099C4⋊Q8—21no—
1100C4⋊Q8C23×C1711yescharacteristic
1101C4⋊Q8C23×C1711yescharacteristic
1102C4⋊Q8C23×C1711yescharacteristic
1103#127—21no—
1104#127—21no—
1105#127—21no—
1106#127C23×C1711yescharacteristic
1107#127C23×C1711yescharacteristic
1108#127C23×C1711yescharacteristic
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126D4×C1711yescharacteristic
1122#126D4×C1711yescharacteristic
1123#125—21no—
1124#125—21no—
1125#125—21no—
1126#125—21no—
1127#125—21no—
1128#125D4×C1711yescharacteristic
1129#125C23×C1711yescharacteristic
1130#125C23×C1711yescharacteristic
1131#125C23×C1711yescharacteristic
1132#125C23×C1711yescharacteristic
1133#124—21no—
1134#124—21no—
1135#124—21no—
1136#124D4×C1711yescharacteristic
1137#124C23×C1711yescharacteristic
1138#124C23×C1711yescharacteristic
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#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123D4×C1711yescharacteristic
1156#123D4×C1711yescharacteristic
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8D4×C1711yescharacteristic
1164C22⋊Q8C23×C1711yescharacteristic
1165C22⋊Q8C23×C1711yescharacteristic
1166C22⋊Q8C23×C1711yescharacteristic
1167C22⋊Q8C23×C1711yescharacteristic
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
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#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121D4×C1711yescharacteristic
1189#121C23×C1711yescharacteristic
1190#121C23×C1711yescharacteristic
1191#121C23×C1711yescharacteristic
1192#121C23×C1711yescharacteristic
1193#121C23×C1711yescharacteristic
1194#121C23×C1711yescharacteristic
1195#121C23×C1711yescharacteristic
1196#121C23×C1711yescharacteristic
1197#120—21no—
1198#120—21no—
1199C4×Q8—21no—
1200C4×Q8—21no—
1201C4×Q8C23×C1711yescharacteristic
1202C4×Q8C23×C1711yescharacteristic
1203C4×Q8C23×C1711yescharacteristic
1204C4×Q8C23×C1711yescharacteristic
1205C4×Q8C23×C1711yescharacteristic
1206C4×Q8C23×C1711yescharacteristic
1207C4×Q8C23×C1711yescharacteristic
1208C4×Q8C23×C1711yescharacteristic
1209C4×Q8C23×C1711yescharacteristic
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×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4C23×C1711yescharacteristic
1231C4×D4C23×C1711yescharacteristic
1232C4×D4C23×C1711yescharacteristic
1233C4×D4C23×C1711yescharacteristic
1234C4×D4C23×C1711yescharacteristic
1235C4×D4C23×C1711yescharacteristic
1236C4×D4C23×C1711yescharacteristic
1237C4×D4C23×C1711yescharacteristic
1238C4×D4C23×C1711yescharacteristic
1239C4×D4C23×C1711yescharacteristic
1240C4×D4C23×C1711yescharacteristic
1241C4×D4C23×C1711yescharacteristic
1242C4×D4C23×C1711yescharacteristic
1243C4×D4C23×C1711yescharacteristic
1244C4×D4C23×C1711yescharacteristic
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117C23×C1711yescharacteristic
1254#117C23×C1711yescharacteristic
1255#117C23×C1711yescharacteristic
1256#117C23×C1711yescharacteristic
1257#117C23×C1711yescharacteristic
1258C2×C4⋊C4—21no—
1259C2×C4⋊C4—21no—
1260C2×C4⋊C4—21no—
1261C2×C4⋊C4—21no—
1262C2×C4⋊C4—21no—
1263C2×C4⋊C4C23×C1711yescharacteristic
1264C2×C4⋊C4C23×C1711yescharacteristic
1265C2×C4⋊C4C23×C1711yescharacteristic
1266C2×C22⋊C4—21no—
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C42—21no—
1271C2×C42—21no—
1272C2×C42C23×C1711yescharacteristic
1273#107C23×C1711yescharacteristic
1274#107C23×C1711yescharacteristic
1275#107C23×C1711yescharacteristic
1276#107C23×C1711yescharacteristic
1277#107C23×C1711yescharacteristic
1278#107C23×C1711yescharacteristic
1279#107C23×C1711yescharacteristic
1280#107C23×C1711yescharacteristic
1281#106C23×C1711yescharacteristic
1282#106C23×C1711yescharacteristic
1283#106C23×C1711yescharacteristic
1284#106C23×C1711yescharacteristic
1285#106C23×C1711yescharacteristic
1286#106C23×C1711yescharacteristic
1287#106C23×C1711yescharacteristic
1288#106C23×C1711yescharacteristic
1289C4⋊C8C23×C1711yescharacteristic
1290C4⋊C8C23×C1711yescharacteristic
1291C4⋊C8C23×C1711yescharacteristic
1292C4⋊C8C23×C1711yescharacteristic
1293C4⋊C8C23×C1711yescharacteristic
1294C4⋊C8C23×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#103C23×C1711yescharacteristic
1304#103C23×C1711yescharacteristic
1305#103C23×C1711yescharacteristic
1306#103C23×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
1319#102C23×C1711yescharacteristic
1320#102C23×C1711yescharacteristic
1321#102C23×C1711yescharacteristic
1322#102C23×C1711yescharacteristic
1323#102C23×C1711yescharacteristic
1324#102C23×C1711yescharacteristic
1325#102C23×C1711yescharacteristic
1326#102C23×C1711yescharacteristic
1327C22⋊C8C23×C1711yescharacteristic
1328C22⋊C8C23×C1711yescharacteristic
1329C22⋊C8C23×C1711yescharacteristic
1330C22⋊C8C23×C1711yescharacteristic
1331C22⋊C8C23×C1711yescharacteristic
1332C22⋊C8C23×C1711yescharacteristic
1333#97C23×C1711yescharacteristic
1334#97C23×C1711yescharacteristic
1335#97C23×C1711yescharacteristic
1336#97C23×C1711yescharacteristic
1337#97C23×C1711yescharacteristic
1338#97C23×C1711yescharacteristic
1339C4×C8C23×C1711yescharacteristic
1340C4×C8C23×C1711yescharacteristic
1341C4×C8C23×C1711yescharacteristic
1342C4×C8C23×C1711yescharacteristic
1343C17#6153111yescharacteristic, direct product factor, Sylow
1344C24—21no—
1345#41—22no—
1346#41—22no—
1347#41—22no—
1348#41—22no—
1349#41—22no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355#41—82no—
1356#41—82no—
1357#41—82no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8C2×D4×C1711yescharacteristic
1361C2×Q8C24×C1711yescharacteristic
1362C2×Q8C24×C1711yescharacteristic
1363C2×Q8C24×C1711yescharacteristic
1364C2×D4—22no—
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—21no—
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—41no—
1386C2×D4C2×D4×C1711yescharacteristic
1387C2×D4C2×D4×C1711yescharacteristic
1388C2×D4C2×D4×C1711yescharacteristic
1389C2×D4C24×C1711yescharacteristic
1390C2×D4C24×C1711yescharacteristic
1391C2×D4C24×C1711yescharacteristic
1392C2×D4C24×C1711yescharacteristic
1393C2×D4C24×C1711yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4C2×D4×C1711yescharacteristic
1415C22×C4C2×D4×C1711yescharacteristic
1416C22×C4C24×C1711yescharacteristic
1417C22×C4C24×C1711yescharacteristic
1418C22×C4C24×C1711yescharacteristic
1419Q16—22no—
1420Q16—22no—
1421SD16—22no—
1422SD16—22no—
1423SD16—22no—
1424SD16—41no—
1425SD16—41no—
1426SD16—41no—
1427SD16—41no—
1428SD16#41×C1714yescomplemented
1429D8—22no—
1430D8—22no—
1431D8—22no—
1432D8—22no—
1433D8—41no—
1434D8—41no—
1435M16—22no—
1436M16—41no—
1437C2×C8—22no—
1438C2×C8—22no—
1439C2×C8—41no—
1440C2×C8—41no—
1441C2×C8C24×C1711yescharacteristic
1442C2×C8C24×C1711yescharacteristic
1443C2×C8C24×C1711yescharacteristic
1444C2×C8C24×C1711yescharacteristic
1445C2×C8C24×C1711yescharacteristic
1446C2×C8C24×C1711yescharacteristic
1447C2×C8C24×C1711yescharacteristic
1448C2×C8C24×C1711yescharacteristic
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⋊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⋊C4C2×D4×C1711yescharacteristic
1477C4⋊C4C2×D4×C1711yescharacteristic
1478C4⋊C4C2×D4×C1711yescharacteristic
1479C4⋊C4C2×D4×C1711yescharacteristic
1480C4⋊C4C2×D4×C1711yescharacteristic
1481C4⋊C4C2×D4×C1711yescharacteristic
1482C4⋊C4C2×D4×C1711yescharacteristic
1483C4⋊C4C2×D4×C1711yescharacteristic
1484C4⋊C4C2×D4×C1711yescharacteristic
1485C4⋊C4C2×D4×C1711yescharacteristic
1486C4⋊C4C24×C1711yescharacteristic
1487C4⋊C4C24×C1711yescharacteristic
1488C4⋊C4C24×C1711yescharacteristic
1489C4⋊C4C24×C1711yescharacteristic
1490C4⋊C4C24×C1711yescharacteristic
1491C4⋊C4C24×C1711yescharacteristic
1492C4⋊C4C24×C1711yescharacteristic
1493C4⋊C4C24×C1711yescharacteristic
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⋊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⋊C4C2×D4×C1711yescharacteristic
1526C22⋊C4C2×D4×C1711yescharacteristic
1527C22⋊C4C2×D4×C1711yescharacteristic
1528C22⋊C4C2×D4×C1711yescharacteristic
1529C22⋊C4C2×D4×C1711yescharacteristic
1530C22⋊C4C2×D4×C1711yescharacteristic
1531C22⋊C4C2×D4×C1711yescharacteristic
1532C22⋊C4C2×D4×C1711yescharacteristic
1533C22⋊C4C2×D4×C1711yescharacteristic
1534C22⋊C4C2×D4×C1711yescharacteristic
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42C2×D4×C1711yescharacteristic
1547C42C2×D4×C1711yescharacteristic
1548C42C24×C1711yescharacteristic
1549C42C24×C1711yescharacteristic
1550C42C24×C1711yescharacteristic
1551C42C24×C1711yescharacteristic
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—42no—
1558C23—81no—
1559C23—81no—
1560C23C22×D4×C1711yescharacteristic
1561C23C22×D4×C1711yescharacteristic
1562C23C22×D4×C1711yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—21no—
1568Q8—41no—
1569Q8—42no—
1570Q8—81no—
1571Q8C2×#41×C1712yes—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—41no—
1582D4—41no—
1583D4—41no—
1584D4—42no—
1585D4—42no—
1586D4—42no—
1587D4—42no—
1588D4—42no—
1589D4—42no—
1590D4—42no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4C2×#41×C1712yes—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4C22×D4×C1711yescharacteristic
1645C2×C4C22×D4×C1711yescharacteristic
1646C2×C4C22×D4×C1711yescharacteristic
1647C2×C4C22×D4×C1711yescharacteristic
1648C2×C4C22×D4×C1711yescharacteristic
1649C2×C4C22×D4×C1711yescharacteristic
1650C2×C4C22×D4×C1711yescharacteristic
1651C2×C4C22×D4×C1711yescharacteristic
1652C2×C4C22×D4×C1711yescharacteristic
1653C2×C4C22×D4×C1711yescharacteristic
1654C2×C4C22×D4×C1711yescharacteristic
1655C2×C4C25×C1711yescharacteristic
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8C2×#41×C1712yes—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—22no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—162no—
1689C22C23×D4×C1711yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—22no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4C22×#41×C1711yescharacteristic
1713C4C17×#58511yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—81no—
1720C2—81no—
1721C2—81no—
1722C2D4×#41×C1711yescharacteristic
1723C2C17×#358411yescharacteristic
1724C2C17×#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×#3521C2semidirect
2. C17×#3517C2semidirect
3. C17×#3397C2semidirect
4. C17×#3388C2semidirect
5. C17×#3377C2semidirect
6. C17×#3366C2semidirect
7. C17×#3350C2semidirect
8. C17×#3343C2semidirect
9. C17×#3339C2semidirect
10. C17×#3317C2semidirect
11. C17×#3309C2semidirect
12. C17×#3307C2semidirect
13. C17×#3306C2semidirect
14. C17×#3304C2semidirect
15. C17×#3297C2semidirect
16. C17×#3284C2semidirect
17. C17×#3268C2semidirect
18. C17×#3268C2semidirect
19. C17×#3180C2semidirect
20. C17×#3179C2semidirect
21. C17×#3174C2semidirect
22. C17×#3125C2semidirect
23. C17×#3122C2semidirect
24. C17×#3120C2semidirect
25. C17×#3119C2semidirect
26. C17×#3106C2semidirect
27. C17×#3102C2semidirect
28. C17×#2968C2semidirect
29. C17×#2951C2semidirect
30. C17×#2946C2semidirect
31. C17×#2943C2semidirect
35. C17×#557C22semidirect
44. C17×#553C22semidirect
52. C17×#550C22semidirect
53. C17×#550C22semidirect
64. C17×#540C22semidirect
68. C17×#532C22semidirect
76. C17×#520C22semidirect
79. C4×#41×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
85. C17×#492C22semidirect
86. C17×#491C22semidirect
87. C17×#490C22semidirect
88. C17×#490C22semidirect
91. C17×#486C22semidirect
92. C17×#485C22semidirect
95. C17×#483C22semidirect
99. C17×#482C22semidirect
100. C17×#482C22semidirect
102. C17×#481C22semidirect
103. C17×#480C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
110. C17×#478C22semidirect
111. C17×#478C22semidirect
112. C17×#477C22semidirect
114. C17×#476C22semidirect
115. C17×#475C22semidirect
119. C17×#468C22semidirect
125. C17×#465C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
132. C17×#462C22semidirect
133. C17×#461C22semidirect
134. C17×#460C22semidirect
135. C17×#460C22semidirect
142. C17×#452C22semidirect
143. C17×#452C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
159. C17×#441C22semidirect
160. C17×#441C22semidirect
165. C17×#440C22semidirect
166. C17×#440C22semidirect
167. C17×#440C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
170. C4×Q16×C17C22semidirect
171. C4×Q16×C17C22semidirect
174. C4×SD16×C17C22semidirect
175. C4×SD16×C17C22semidirect
176. C4×SD16×C17C22semidirect
185. C17×#435C22semidirect
187. C8×D4×C17C22semidirect
189. C17×#433C22semidirect
190. C17×#431C22semidirect
192. C17×#427C22semidirect
193. C2×C17×#107C22semidirect
195. C17×#417C22semidirect
198. C17×#416C22semidirect
201. C17×#405C22semidirect
202. C2×C17×#97C22semidirect
565. SD16×C17#41semidirect
689. #61531C17direct (N × H)
802. #3521C2×C17semidirect
803. #3517C2×C17semidirect
804. #3397C2×C17semidirect
805. #3388C2×C17semidirect
806. #3377C2×C17semidirect
807. #3366C2×C17semidirect
808. #3350C2×C17semidirect
809. #3343C2×C17semidirect
810. #3339C2×C17semidirect
811. #3317C2×C17semidirect
812. #3309C2×C17semidirect
813. #3307C2×C17semidirect
814. #3306C2×C17semidirect
815. #3304C2×C17semidirect
816. #3297C2×C17semidirect
817. #3284C2×C17semidirect
818. #3268C2×C17semidirect
819. #3268C2×C17semidirect
820. #3180C2×C17semidirect
821. #3179C2×C17semidirect
822. #3174C2×C17semidirect
823. #3125C2×C17semidirect
824. #3122C2×C17semidirect
825. #3120C2×C17semidirect
826. #3119C2×C17semidirect
827. #3106C2×C17semidirect
828. #3102C2×C17semidirect
829. #2968C2×C17semidirect
830. #2951C2×C17semidirect
831. #2946C2×C17semidirect
832. #2943C2×C17semidirect
886. #557C22×C17semidirect
895. #553C22×C17semidirect
903. #550C22×C17semidirect
904. #550C22×C17semidirect
915. #540C22×C17semidirect
919. #532C22×C17semidirect
927. #520C22×C17semidirect
930. C4×#41C22×C17semidirect
931. #501C22×C17semidirect
932. #501C22×C17semidirect
933. #499C22×C17semidirect
936. #492C22×C17semidirect
937. #491C22×C17semidirect
938. #490C22×C17semidirect
939. #490C22×C17semidirect
942. #486C22×C17semidirect
943. #485C22×C17semidirect
946. #483C22×C17semidirect
950. #482C22×C17semidirect
951. #482C22×C17semidirect
953. #481C22×C17semidirect
954. #480C22×C17semidirect
955. #479C22×C17semidirect
956. #479C22×C17semidirect
957. #479C22×C17semidirect
961. #478C22×C17semidirect
962. #478C22×C17semidirect
963. #477C22×C17semidirect
965. #476C22×C17semidirect
966. #475C22×C17semidirect
970. #468C22×C17semidirect
976. #465C22×C17semidirect
977. #465C22×C17semidirect
978. #465C22×C17semidirect
983. #462C22×C17semidirect
984. #461C22×C17semidirect
985. #460C22×C17semidirect
986. #460C22×C17semidirect
993. #452C22×C17semidirect
994. #452C22×C17semidirect
1003. #446C22×C17semidirect
1004. #446C22×C17semidirect
1010. #441C22×C17semidirect
1011. #441C22×C17semidirect
1016. #440C22×C17semidirect
1017. #440C22×C17semidirect
1018. #440C22×C17semidirect
1019. #440C22×C17semidirect
1020. #440C22×C17semidirect
1021. C4×Q16C22×C17semidirect
1022. C4×Q16C22×C17semidirect
1025. C4×SD16C22×C17semidirect
1026. C4×SD16C22×C17semidirect
1027. C4×SD16C22×C17semidirect
1036. #435C22×C17semidirect
1038. C8×D4C22×C17semidirect
1040. #433C22×C17semidirect
1041. #431C22×C17semidirect
1043. #427C22×C17semidirect
1044. C2×#107C22×C17semidirect
1046. #417C22×C17semidirect
1049. #416C22×C17semidirect
1052. #405C22×C17semidirect
1053. C2×#97C22×C17semidirect
1343. C17#61531direct (N × H)
1428. SD16#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35212
C17×#35172
C17×#33972
C17×#33882
C17×#33772
C17×#33662
C17×#33502
C17×#33432
C17×#33392
C17×#33172
C17×#33092
C17×#33072
C17×#33062
C17×#33042
C17×#32972
C17×#32842
C17×#32682
C17×#31802
C17×#31792
C17×#31742
C17×#31252
C17×#31222
C17×#31202
C17×#31192
C17×#31062
C17×#31022
C17×#29682
C17×#29512
C17×#29462
C17×#29432
#6153117