Finite Group Databasebeta

← C17×#61520 #16919264

Subgroups — C17×#61520 #16919264

Order 4352.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3523C211yesmaximal, characteristic, complemented
2C17×#3513C211yesmaximal, characteristic
3C17×#3400C211yesmaximal, characteristic, complemented
4C17×#3388C211yesmaximal, characteristic, complemented
5C17×#3372C211yesmaximal, characteristic, complemented
6C17×#3371C211yesmaximal, characteristic, complemented
7C17×#3350C211yesmaximal, characteristic, complemented
8C17×#3343C211yesmaximal, characteristic, complemented
9C17×#3336C211yesmaximal, characteristic, complemented
10C17×#3320C211yesmaximal, characteristic, complemented
11C17×#3312C211yesmaximal, characteristic, complemented
12C17×#3311C211yesmaximal, characteristic, complemented
13C17×#3310C211yesmaximal, characteristic, complemented
14C17×#3298C211yesmaximal, characteristic, complemented
15C17×#3296C211yesmaximal, characteristic, complemented
16D4×SD16×C17C211yesmaximal, characteristic, complemented
17C17×#3266C211yesmaximal, characteristic, complemented
18C17×#3266C211yesmaximal, characteristic, complemented
19C17×#3181C211yesmaximal, characteristic, complemented
20C17×#3178C211yesmaximal, characteristic, complemented
21C17×#3174C211yesmaximal, characteristic, complemented
22C17×#3126C211yesmaximal, characteristic, complemented
23C17×#3123C211yesmaximal, characteristic, complemented
24C17×#3121C211yesmaximal, characteristic, complemented
25C17×#3120C211yesmaximal, characteristic, complemented
26C17×#3108C211yesmaximal, characteristic, complemented
27C17×#3101C211yesmaximal, characteristic, complemented
28C17×#2968C211yesmaximal, characteristic, complemented
29C17×#2949C211yesmaximal, characteristic, complemented
30C17×#2947C211yesmaximal, characteristic, complemented
31C2×C17×#440C211yesmaximal, characteristic, complemented
32C2×C17×#137C2211yescharacteristic
33C22×SD16×C17C2211yescharacteristic
34C22×SD16×C17C2211yescharacteristic
35C17×#559C2211yescharacteristic
36C17×#557—21no—
37C17×#557C2211yescharacteristic, complemented
38C17×#557C2211yescharacteristic, complemented
39C17×#556—21no—
40C17×#556C2211yescharacteristic, complemented
41C17×#554C2211yescharacteristic
42C17×#553—21no—
43C17×#553C2211yescharacteristic
44C17×#552—21no—
45C17×#552—21no—
46C17×#552C2211yescharacteristic
47C17×#552C2211yescharacteristic
48C17×#552C2211yescharacteristic, complemented
49C17×#551—21no—
50C17×#551—21no—
51D4×Q8×C17C2211yescharacteristic
52D4×Q8×C17C2211yescharacteristic, complemented
53D4×Q8×C17C2211yescharacteristic, complemented
54C17×#547C2211yescharacteristic
55C17×#546—21no—
56C17×#546C2211yescharacteristic
57C17×#546C2211yescharacteristic
58D42×C17C2211yescharacteristic
59C17×#542C2211yescharacteristic
60C17×#541—21no—
61C17×#541—21no—
62C17×#541C2211yescharacteristic, complemented
63C17×#541C2211yescharacteristic, complemented
64C17×#540C2211yescharacteristic
65C17×#539—21no—
66C17×#538—21no—
67C17×#533—21no—
68C17×#533C2211yescharacteristic, complemented
69C17×#529—21no—
70C17×#529C2211yescharacteristic
71C17×#529C2211yescharacteristic
72C17×#525—21no—
73C2×C17×#123—21no—
74C17×#520C2211yescharacteristic
75C17×#519C2211yescharacteristic, complemented
76C17×#519C2211yescharacteristic, complemented
77C17×#518C2211yescharacteristic
78C2×C4×Q8×C17C2211yescharacteristic, complemented
79C2×C4×D4×C17C2211yescharacteristic
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#497C2211yescharacteristic, complemented
84C17×#497C2211yescharacteristic, complemented
85C17×#492C2211yescharacteristic
86C17×#491C2211yescharacteristic, complemented
87C17×#491C2211yescharacteristic, complemented
88C17×#490C2211yescharacteristic
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic, complemented
91C17×#487C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#484C2211yescharacteristic, complemented
96C17×#483C2211yescharacteristic, complemented
97C17×#483C2211yescharacteristic, complemented
98C17×#483C2211yescharacteristic, complemented
99C17×#483C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic
101C17×#482C2211yescharacteristic, complemented
102C17×#482C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#479C2211yescharacteristic, complemented
108C17×#479C2211yescharacteristic, complemented
109C17×#478C2211yescharacteristic
110C17×#478C2211yescharacteristic
111C17×#478C2211yescharacteristic, complemented
112C17×#477C2211yescharacteristic, complemented
113C17×#476C2211yescharacteristic
114C17×#476C2211yescharacteristic, complemented
115C17×#475C2211yescharacteristic, complemented
116C17×#470C2211yescharacteristic, complemented
117C17×#468C2211yescharacteristic
118C17×#468C2211yescharacteristic, complemented
119C17×#468C2211yescharacteristic, complemented
120C17×#467C2211yescharacteristic, complemented
121C17×#467C2211yescharacteristic, complemented
122C17×#467C2211yescharacteristic, complemented
123C17×#465C2211yescharacteristic
124C17×#465C2211yescharacteristic
125C17×#465C2211yescharacteristic
126C17×#465C2211yescharacteristic, complemented
127C17×#465C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#464C2211yescharacteristic, complemented
130C17×#464C2211yescharacteristic, complemented
131C17×#464C2211yescharacteristic, complemented
132C17×#462C2211yescharacteristic, complemented
133C17×#461C2211yescharacteristic
134C17×#461C2211yescharacteristic
135C17×#461C2211yescharacteristic
136C17×#461C2211yescharacteristic, complemented
137C17×#461C2211yescharacteristic, complemented
138C17×#460C2211yescharacteristic
139C17×#460C2211yescharacteristic
140C17×#452C2211yescharacteristic
141C17×#452C2211yescharacteristic
142C17×#451C2211yescharacteristic, complemented
143C17×#451C2211yescharacteristic, complemented
144C17×#450C2211yescharacteristic
145C17×#450C2211yescharacteristic
146C17×#450C2211yescharacteristic
147C17×#450C2211yescharacteristic
148C17×#448C2211yescharacteristic
149C17×#448C2211yescharacteristic
150C17×#448C2211yescharacteristic, complemented
151C17×#448C2211yescharacteristic, complemented
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#441C2211yescharacteristic, complemented
155C17×#441C2211yescharacteristic, complemented
156C17×#441C2211yescharacteristic, complemented
157C17×#440C2211yescharacteristic
158C17×#440C2211yescharacteristic
159C17×#440C2211yescharacteristic
160C17×#440C2211yescharacteristic
161C17×#440C2211yescharacteristic
162C17×#440C2211yescharacteristic
163C17×#440C2211yescharacteristic, complemented
164C17×#440C2211yescharacteristic, complemented
165C17×#440C2211yescharacteristic, complemented
166C17×#440C2211yescharacteristic, complemented
167C17×#440C2211yescharacteristic, complemented
168C17×#440C2211yescharacteristic, complemented
169C17×#440C2211yescharacteristic, complemented
170C4×Q16×C17C2211yescharacteristic, complemented
171C4×Q16×C17C2211yescharacteristic, complemented
172C4×Q16×C17C2211yescharacteristic, complemented
173C4×SD16×C17C2211yescharacteristic
174C4×SD16×C17C2211yescharacteristic
175C4×SD16×C17C2211yescharacteristic
176C4×SD16×C17C2211yescharacteristic
177C4×SD16×C17C2211yescharacteristic, complemented
178C4×SD16×C17C2211yescharacteristic, complemented
179C4×SD16×C17C2211yescharacteristic, complemented
180C4×SD16×C17C2211yescharacteristic, complemented
181C4×SD16×C17C2211yescharacteristic, complemented
182C17×#435C2211yescharacteristic
183C17×#435C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C8×D4×C17C2211yescharacteristic
187C8×D4×C17C2211yescharacteristic, complemented
188C17×#433C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic, complemented
190C17×#431C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C17×#427C2211yescharacteristic, complemented
193C2×C17×#107C2211yescharacteristic, complemented
194C17×#419C2211yescharacteristic, complemented
195C17×#418C2211yescharacteristic
196C17×#416C2211yescharacteristic
197C2×C17×#103C2211yescharacteristic, complemented
198C2×C17×#103C2211yescharacteristic, complemented
199C2×C17×#102C2211yescharacteristic
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C2×C17×#97C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17C2311yescharacteristic
205C22×Q8×C17C2311yescharacteristic
206C22×Q8×C17C2311yescharacteristic
207C22×Q8×C17C2311yescharacteristic
208C22×D4×C17—21no—
209C22×D4×C17C2311yescharacteristic
210C22×D4×C17C2311yescharacteristic
211C23×C4×C17—21no—
212C17×#137—24no—
213C2×Q16×C17C2311yescharacteristic
214C2×Q16×C17C2311yescharacteristic
215C2×Q16×C17C2311yescharacteristic
216C2×Q16×C17C2311yescharacteristic
217C2×SD16×C17—24no—
218C2×SD16×C17—24no—
219C2×SD16×C17C2311yescharacteristic
220C2×SD16×C17C2311yescharacteristic
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×SD16×C17C2311yescharacteristic
226C2×SD16×C17C2311yescharacteristic
227C2×SD16×C17C2311yescharacteristic
228C2×SD16×C17C2311yescharacteristic
229C2×SD16×C17C2311yescharacteristic
230C2×SD16×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⋊Q8—21no—
239C17×C4⋊Q8—21no—
240C17×C4⋊Q8—21no—
241C17×C4⋊Q8C2311yescharacteristic
242C17×C4⋊Q8C2311yescharacteristic
243C17×C4⋊Q8C2311yescharacteristic
244C17×C4⋊Q8C2311yescharacteristic
245C17×C4⋊Q8C2311yescharacteristic
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×#125—21no—
267C17×#125—21no—
268C17×#125—21no—
269C17×#125—21no—
270C17×#125—21no—
271C17×#125—21no—
272C17×#125—21no—
273C17×#125—21no—
274C17×#125D411yescharacteristic
275C17×#125C2311yescharacteristic
276C17×#125C2311yescharacteristic
277C17×#125C2311yescharacteristic
278C17×#125C2311yescharacteristic
279C17×#124—21no—
280C17×#124—21no—
281C17×#124—21no—
282C17×#124D411yescharacteristic
283C17×#124C2311yescharacteristic
284C17×#124C2311yescharacteristic
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×#123—21no—
298C17×#123—21no—
299C17×#123D411yescharacteristic
300C17×#123D411yescharacteristic
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⋊Q8—21no—
313C17×C22⋊Q8D411yescharacteristic
314C17×C22⋊Q8C2311yescharacteristic
315C17×C22⋊Q8C2311yescharacteristic
316C17×C22⋊Q8C2311yescharacteristic
317C17×C22⋊Q8C2311yescharacteristic
318C17×C22⋊Q8C2311yescharacteristic
319C17×C22⋊Q8C2311yescharacteristic
320C17×C22⋊Q8C2311yescharacteristic
321C17×C22⋊Q8C2311yescharacteristic
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×#120—21no—
334C17×#120—21no—
335C17×#120—21no—
336C17×#120—21no—
337C4×Q8×C17—21no—
338C4×Q8×C17—21no—
339C4×Q8×C17—21no—
340C4×Q8×C17—21no—
341C4×Q8×C17—21no—
342C4×Q8×C17—21no—
343C4×Q8×C17—21no—
344C4×Q8×C17—21no—
345C4×Q8×C17—21no—
346C4×Q8×C17—21no—
347C4×Q8×C17C2311yescharacteristic
348C4×Q8×C17C2311yescharacteristic
349C4×Q8×C17C2311yescharacteristic
350C4×Q8×C17C2311yescharacteristic
351C4×Q8×C17C2311yescharacteristic
352C4×Q8×C17C2311yescharacteristic
353C4×Q8×C17C2311yescharacteristic
354C4×Q8×C17C2311yescharacteristic
355C4×Q8×C17C2311yescharacteristic
356C4×Q8×C17C2311yescharacteristic
357C4×Q8×C17C2311yescharacteristic
358C4×Q8×C17C2311yescharacteristic
359C4×Q8×C17C2311yescharacteristic
360C4×D4×C17—21no—
361C4×D4×C17—21no—
362C4×D4×C17—21no—
363C4×D4×C17—21no—
364C4×D4×C17—21no—
365C4×D4×C17—21no—
366C4×D4×C17—21no—
367C4×D4×C17—21no—
368C4×D4×C17—21no—
369C4×D4×C17—21no—
370C4×D4×C17—21no—
371C4×D4×C17—21no—
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×#117—21no—
392C17×#117—21no—
393C17×#117C2311yescharacteristic
394C17×#117C2311yescharacteristic
395C17×#117C2311yescharacteristic
396C17×#117C2311yescharacteristic
397C17×#117C2311yescharacteristic
398C2×C4⋊C4×C17—21no—
399C2×C4⋊C4×C17—21no—
400C2×C4⋊C4×C17—21no—
401C2×C4⋊C4×C17C2311yescharacteristic
402C2×C4⋊C4×C17C2311yescharacteristic
403C2×C4⋊C4×C17C2311yescharacteristic
404C2×C22⋊C4×C17—21no—
405C2×C22⋊C4×C17—21no—
406C2×C22⋊C4×C17—21no—
407C2×C22⋊C4×C17—21no—
408C2×C22⋊C4×C17—21no—
409C2×C42×C17—21no—
410C2×C42×C17C2311yescharacteristic
411C17×#107C2311yescharacteristic
412C17×#107C2311yescharacteristic
413C17×#107C2311yescharacteristic
414C17×#107C2311yescharacteristic
415C17×#107C2311yescharacteristic
416C17×#107C2311yescharacteristic
417C17×#107C2311yescharacteristic
418C17×#107C2311yescharacteristic
419C17×#106C2311yescharacteristic
420C17×#106C2311yescharacteristic
421C17×#106C2311yescharacteristic
422C17×#106C2311yescharacteristic
423C17×#106C2311yescharacteristic
424C17×#106C2311yescharacteristic
425C17×#106C2311yescharacteristic
426C17×#106C2311yescharacteristic
427C17×C4⋊C8C2311yescharacteristic
428C17×C4⋊C8C2311yescharacteristic
429C17×C4⋊C8C2311yescharacteristic
430C17×C4⋊C8C2311yescharacteristic
431C17×C4⋊C8C2311yescharacteristic
432C17×C4⋊C8C2311yescharacteristic
433C17×#103C2311yescharacteristic
434C17×#103C2311yescharacteristic
435C17×#103C2311yescharacteristic
436C17×#103C2311yescharacteristic
437C17×#103C2311yescharacteristic
438C17×#103C2311yescharacteristic
439C17×#103C2311yescharacteristic
440C17×#103C2311yescharacteristic
441C17×#103C2311yescharacteristic
442C17×#103C2311yescharacteristic
443C17×#103C2311yescharacteristic
444C17×#103C2311yescharacteristic
445C17×#103C2311yescharacteristic
446C17×#103C2311yescharacteristic
447C17×#103C2311yescharacteristic
448C17×#103C2311yescharacteristic
449C17×#103C2311yescharacteristic
450C17×#103C2311yescharacteristic
451C17×#103C2311yescharacteristic
452C17×#103C2311yescharacteristic
453C17×#102C2311yescharacteristic
454C17×#102C2311yescharacteristic
455C17×#102C2311yescharacteristic
456C17×#102C2311yescharacteristic
457C17×#102C2311yescharacteristic
458C17×#102C2311yescharacteristic
459C17×#102C2311yescharacteristic
460C17×#102C2311yescharacteristic
461C17×#102C2311yescharacteristic
462C17×#102C2311yescharacteristic
463C17×#102C2311yescharacteristic
464C17×#102C2311yescharacteristic
465C17×C22⋊C8C2311yescharacteristic
466C17×C22⋊C8C2311yescharacteristic
467C17×C22⋊C8C2311yescharacteristic
468C17×C22⋊C8C2311yescharacteristic
469C17×C22⋊C8C2311yescharacteristic
470C17×C22⋊C8C2311yescharacteristic
471C17×#97C2311yescharacteristic
472C17×#97C2311yescharacteristic
473C17×#97C2311yescharacteristic
474C17×#97C2311yescharacteristic
475C17×#97C2311yescharacteristic
476C17×#97C2311yescharacteristic
477C4×C8×C17C2311yescharacteristic
478C4×C8×C17C2311yescharacteristic
479C4×C8×C17C2311yescharacteristic
480C4×C8×C17C2311yescharacteristic
481C24×C17—21no—
482C24×C17—21no—
483#41×C17—22no—
484#41×C17—41no—
485#41×C17—82no—
486C2×Q8×C17—21no—
487C2×Q8×C17—21no—
488C2×Q8×C17—21no—
489C2×Q8×C17—21no—
490C2×Q8×C17—21no—
491C2×Q8×C17—22no—
492C2×Q8×C17—22no—
493C2×Q8×C17—22no—
494C2×Q8×C17—41no—
495C2×Q8×C17—41no—
496C2×Q8×C17—41no—
497C2×Q8×C17C2×D411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×Q8×C17C2411yescharacteristic
500C2×Q8×C17C2411yescharacteristic
501C2×Q8×C17C2411yescharacteristic
502C2×Q8×C17C2411yescharacteristic
503C2×D4×C17—22no—
504C2×D4×C17—22no—
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—41no—
515C2×D4×C17—41no—
516C2×D4×C17—82no—
517C2×D4×C17C2×D411yescharacteristic
518C2×D4×C17C2×D411yescharacteristic
519C2×D4×C17C2×D411yescharacteristic
520C2×D4×C17C2411yescharacteristic
521C2×D4×C17C2411yescharacteristic
522C2×D4×C17C2411yescharacteristic
523C22×C4×C17—21no—
524C22×C4×C17—21no—
525C22×C4×C17—21no—
526C22×C4×C17—21no—
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—82no—
539C22×C4×C17C2×D411yescharacteristic
540C22×C4×C17C2×D411yescharacteristic
541C22×C4×C17C2411yescharacteristic
542C22×C4×C17C2411yescharacteristic
543C22×C4×C17C2411yescharacteristic
544Q16×C17—22no—
545Q16×C17—22no—
546Q16×C17—41no—
547Q16×C17—41no—
548SD16×C17—22no—
549SD16×C17—22no—
550SD16×C17—22no—
551SD16×C17—22no—
552SD16×C17—22no—
553SD16×C17—22no—
554SD16×C17—22no—
555SD16×C17—41no—
556SD16×C17—41no—
557SD16×C17—41no—
558SD16×C17—41no—
559SD16×C17#4114yescomplemented
560M16×C17—22no—
561M16×C17—41no—
562C2×C8×C17—22no—
563C2×C8×C17—22no—
564C2×C8×C17—41no—
565C2×C8×C17—41no—
566C2×C8×C17C2411yescharacteristic
567C2×C8×C17C2411yescharacteristic
568C2×C8×C17C2411yescharacteristic
569C2×C8×C17C2411yescharacteristic
570C2×C8×C17C2411yescharacteristic
571C2×C8×C17C2411yescharacteristic
572C2×C8×C17C2411yescharacteristic
573C2×C8×C17C2411yescharacteristic
574C4⋊C4×C17—21no—
575C4⋊C4×C17—21no—
576C4⋊C4×C17—21no—
577C4⋊C4×C17—21no—
578C4⋊C4×C17—21no—
579C4⋊C4×C17—21no—
580C4⋊C4×C17—21no—
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×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×C17C2×D411yescharacteristic
659C22⋊C4×C17C2×D411yescharacteristic
660C22⋊C4×C17C2×D411yescharacteristic
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
668C42×C17—21no—
669C42×C17—21no—
670C42×C17—21no—
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#61520C1711yesmaximal, characteristic, direct product factor, Sylow
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—42no—
694C23×C17—42no—
695C23×C17—42no—
696C23×C17—81no—
697C23×C17—81no—
698C23×C17—81no—
699C23×C17C22×D411yescharacteristic
700C23×C17C22×D411yescharacteristic
701C23×C17C22×D411yescharacteristic
702Q8×C17—21no—
703Q8×C17—21no—
704Q8×C17—21no—
705Q8×C17—21no—
706Q8×C17—21no—
707Q8×C17—21no—
708Q8×C17—21no—
709Q8×C17—21no—
710Q8×C17—21no—
711Q8×C17—41no—
712Q8×C17—42no—
713Q8×C17—42no—
714Q8×C17—42no—
715Q8×C17—42no—
716Q8×C17—81no—
717Q8×C17C2×#4112yes—
718D4×C17—22no—
719D4×C17—22no—
720D4×C17—21no—
721D4×C17—21no—
722D4×C17—21no—
723D4×C17—21no—
724D4×C17—21no—
725D4×C17—41no—
726D4×C17—42no—
727D4×C17—42no—
728D4×C17—42no—
729D4×C17—42no—
730D4×C17—81no—
731D4×C17—81no—
732D4×C17—81no—
733D4×C17—81no—
734D4×C17—81no—
735D4×C17C2×#4112yes—
736C2×C4×C17—22no—
737C2×C4×C17—21no—
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—42no—
758C2×C4×C17—42no—
759C2×C4×C17—42no—
760C2×C4×C17—42no—
761C2×C4×C17—42no—
762C2×C4×C17—42no—
763C2×C4×C17—81no—
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×C17C22×D411yescharacteristic
773C2×C4×C17C22×D411yescharacteristic
774C2×C4×C17C22×D411yescharacteristic
775C2×C4×C17C22×D411yescharacteristic
776C2×C4×C17C22×D411yescharacteristic
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×C17C2511yescharacteristic
784C8×C17—21no—
785C8×C17—21no—
786C8×C17—21no—
787C8×C17—21no—
788C8×C17—21no—
789C8×C17—21no—
790C8×C17—21no—
791C8×C17C2×#4112yes—
792#3523C2×C1711yescharacteristic, complemented
793#3513C2×C1711yescharacteristic
794#3400C2×C1711yescharacteristic, complemented
795#3388C2×C1711yescharacteristic, complemented
796#3372C2×C1711yescharacteristic, complemented
797#3371C2×C1711yescharacteristic, complemented
798#3350C2×C1711yescharacteristic, complemented
799#3343C2×C1711yescharacteristic, complemented
800#3336C2×C1711yescharacteristic, complemented
801#3320C2×C1711yescharacteristic, complemented
802#3312C2×C1711yescharacteristic, complemented
803#3311C2×C1711yescharacteristic, complemented
804#3310C2×C1711yescharacteristic, complemented
805#3298C2×C1711yescharacteristic, complemented
806#3296C2×C1711yescharacteristic, complemented
807D4×SD16C2×C1711yescharacteristic, complemented
808#3266C2×C1711yescharacteristic, complemented
809#3266C2×C1711yescharacteristic, complemented
810#3181C2×C1711yescharacteristic, complemented
811#3178C2×C1711yescharacteristic, complemented
812#3174C2×C1711yescharacteristic, complemented
813#3126C2×C1711yescharacteristic, complemented
814#3123C2×C1711yescharacteristic, complemented
815#3121C2×C1711yescharacteristic, complemented
816#3120C2×C1711yescharacteristic, complemented
817#3108C2×C1711yescharacteristic, complemented
818#3101C2×C1711yescharacteristic, complemented
819#2968C2×C1711yescharacteristic, complemented
820#2949C2×C1711yescharacteristic, complemented
821#2947C2×C1711yescharacteristic, complemented
822C2×#440C2×C1711yescharacteristic, complemented
823C22×C17—21no—
824C22×C17—21no—
825C22×C17—21no—
826C22×C17—21no—
827C22×C17—21no—
828C22×C17—21no—
829C22×C17—22no—
830C22×C17—21no—
831C22×C17—21no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—84no—
841C22×C17—162no—
842C22×C17#57712yes—
843C22×C17C23×D411yescharacteristic
844C4×C17—21no—
845C4×C17—21no—
846C4×C17—21no—
847C4×C17—21no—
848C4×C17—21no—
849C4×C17—21no—
850C4×C17—21no—
851C4×C17—22no—
852C4×C17—21no—
853C4×C17—21no—
854C4×C17—21no—
855C4×C17—21no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861C4×C17—41no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17—41no—
865C4×C17—41no—
866C4×C17—41no—
867C4×C17—41no—
868C4×C17C22×#4111yescharacteristic
869C4×C17#58511yescharacteristic
870C2×#137C22×C1711yescharacteristic
871C22×SD16C22×C1711yescharacteristic
872C22×SD16C22×C1711yescharacteristic
873#559C22×C1711yescharacteristic
874#557—21no—
875#557C22×C1711yescharacteristic, complemented
876#557C22×C1711yescharacteristic, complemented
877#556—21no—
878#556C22×C1711yescharacteristic, complemented
879#554C22×C1711yescharacteristic
880#553—21no—
881#553C22×C1711yescharacteristic
882#552—21no—
883#552—21no—
884#552C22×C1711yescharacteristic
885#552C22×C1711yescharacteristic
886#552C22×C1711yescharacteristic, complemented
887#551—21no—
888#551—21no—
889D4×Q8C22×C1711yescharacteristic
890D4×Q8C22×C1711yescharacteristic, complemented
891D4×Q8C22×C1711yescharacteristic, complemented
892#547C22×C1711yescharacteristic
893#546—21no—
894#546C22×C1711yescharacteristic
895#546C22×C1711yescharacteristic
896D42C22×C1711yescharacteristic
897#542C22×C1711yescharacteristic
898#541—21no—
899#541—21no—
900#541C22×C1711yescharacteristic, complemented
901#541C22×C1711yescharacteristic, complemented
902#540C22×C1711yescharacteristic
903#539—21no—
904#538—21no—
905#533—21no—
906#533C22×C1711yescharacteristic, complemented
907#529—21no—
908#529C22×C1711yescharacteristic
909#529C22×C1711yescharacteristic
910#525—21no—
911C2×#123—21no—
912#520C22×C1711yescharacteristic
913#519C22×C1711yescharacteristic, complemented
914#519C22×C1711yescharacteristic, complemented
915#518C22×C1711yescharacteristic
916C2×C4×Q8C22×C1711yescharacteristic, complemented
917C2×C4×D4C22×C1711yescharacteristic
918#501C22×C1711yescharacteristic, complemented
919#501C22×C1711yescharacteristic, complemented
920#499C22×C1711yescharacteristic, complemented
921#497C22×C1711yescharacteristic, complemented
922#497C22×C1711yescharacteristic, complemented
923#492C22×C1711yescharacteristic
924#491C22×C1711yescharacteristic, complemented
925#491C22×C1711yescharacteristic, complemented
926#490C22×C1711yescharacteristic
927#489C22×C1711yescharacteristic, complemented
928#488C22×C1711yescharacteristic, complemented
929#487C22×C1711yescharacteristic, complemented
930#485C22×C1711yescharacteristic, complemented
931#485C22×C1711yescharacteristic, complemented
932#485C22×C1711yescharacteristic, complemented
933#484C22×C1711yescharacteristic, complemented
934#483C22×C1711yescharacteristic, complemented
935#483C22×C1711yescharacteristic, complemented
936#483C22×C1711yescharacteristic, complemented
937#483C22×C1711yescharacteristic, complemented
938#482C22×C1711yescharacteristic
939#482C22×C1711yescharacteristic, complemented
940#482C22×C1711yescharacteristic, complemented
941#480C22×C1711yescharacteristic
942#479C22×C1711yescharacteristic, complemented
943#479C22×C1711yescharacteristic, complemented
944#479C22×C1711yescharacteristic, complemented
945#479C22×C1711yescharacteristic, complemented
946#479C22×C1711yescharacteristic, complemented
947#478C22×C1711yescharacteristic
948#478C22×C1711yescharacteristic
949#478C22×C1711yescharacteristic, complemented
950#477C22×C1711yescharacteristic, complemented
951#476C22×C1711yescharacteristic
952#476C22×C1711yescharacteristic, complemented
953#475C22×C1711yescharacteristic, complemented
954#470C22×C1711yescharacteristic, complemented
955#468C22×C1711yescharacteristic
956#468C22×C1711yescharacteristic, complemented
957#468C22×C1711yescharacteristic, complemented
958#467C22×C1711yescharacteristic, complemented
959#467C22×C1711yescharacteristic, complemented
960#467C22×C1711yescharacteristic, complemented
961#465C22×C1711yescharacteristic
962#465C22×C1711yescharacteristic
963#465C22×C1711yescharacteristic
964#465C22×C1711yescharacteristic, complemented
965#465C22×C1711yescharacteristic, complemented
966#464C22×C1711yescharacteristic, complemented
967#464C22×C1711yescharacteristic, complemented
968#464C22×C1711yescharacteristic, complemented
969#464C22×C1711yescharacteristic, complemented
970#462C22×C1711yescharacteristic, complemented
971#461C22×C1711yescharacteristic
972#461C22×C1711yescharacteristic
973#461C22×C1711yescharacteristic
974#461C22×C1711yescharacteristic, complemented
975#461C22×C1711yescharacteristic, complemented
976#460C22×C1711yescharacteristic
977#460C22×C1711yescharacteristic
978#452C22×C1711yescharacteristic
979#452C22×C1711yescharacteristic
980#451C22×C1711yescharacteristic, complemented
981#451C22×C1711yescharacteristic, complemented
982#450C22×C1711yescharacteristic
983#450C22×C1711yescharacteristic
984#450C22×C1711yescharacteristic
985#450C22×C1711yescharacteristic
986#448C22×C1711yescharacteristic
987#448C22×C1711yescharacteristic
988#448C22×C1711yescharacteristic, complemented
989#448C22×C1711yescharacteristic, complemented
990#446C22×C1711yescharacteristic, complemented
991#446C22×C1711yescharacteristic, complemented
992#441C22×C1711yescharacteristic, complemented
993#441C22×C1711yescharacteristic, complemented
994#441C22×C1711yescharacteristic, complemented
995#440C22×C1711yescharacteristic
996#440C22×C1711yescharacteristic
997#440C22×C1711yescharacteristic
998#440C22×C1711yescharacteristic
999#440C22×C1711yescharacteristic
1000#440C22×C1711yescharacteristic
1001#440C22×C1711yescharacteristic, complemented
1002#440C22×C1711yescharacteristic, complemented
1003#440C22×C1711yescharacteristic, complemented
1004#440C22×C1711yescharacteristic, complemented
1005#440C22×C1711yescharacteristic, complemented
1006#440C22×C1711yescharacteristic, complemented
1007#440C22×C1711yescharacteristic, complemented
1008C4×Q16C22×C1711yescharacteristic, complemented
1009C4×Q16C22×C1711yescharacteristic, complemented
1010C4×Q16C22×C1711yescharacteristic, complemented
1011C4×SD16C22×C1711yescharacteristic
1012C4×SD16C22×C1711yescharacteristic
1013C4×SD16C22×C1711yescharacteristic
1014C4×SD16C22×C1711yescharacteristic
1015C4×SD16C22×C1711yescharacteristic, complemented
1016C4×SD16C22×C1711yescharacteristic, complemented
1017C4×SD16C22×C1711yescharacteristic, complemented
1018C4×SD16C22×C1711yescharacteristic, complemented
1019C4×SD16C22×C1711yescharacteristic, complemented
1020#435C22×C1711yescharacteristic
1021#435C22×C1711yescharacteristic, complemented
1022#435C22×C1711yescharacteristic, complemented
1023#435C22×C1711yescharacteristic, complemented
1024C8×D4C22×C1711yescharacteristic
1025C8×D4C22×C1711yescharacteristic, complemented
1026#433C22×C1711yescharacteristic, complemented
1027#433C22×C1711yescharacteristic, complemented
1028#431C22×C1711yescharacteristic, complemented
1029#428C22×C1711yescharacteristic, complemented
1030#427C22×C1711yescharacteristic, complemented
1031C2×#107C22×C1711yescharacteristic, complemented
1032#419C22×C1711yescharacteristic, complemented
1033#418C22×C1711yescharacteristic
1034#416C22×C1711yescharacteristic
1035C2×#103C22×C1711yescharacteristic, complemented
1036C2×#103C22×C1711yescharacteristic, complemented
1037C2×#102C22×C1711yescharacteristic
1038#405C22×C1711yescharacteristic, complemented
1039#405C22×C1711yescharacteristic, complemented
1040C2×#97C22×C1711yescharacteristic, complemented
1041C2×C17—22no—
1042C2×C17—41no—
1043C2×C17—41no—
1044C2×C17—42no—
1045C2×C17—81no—
1046C2×C17—81no—
1047C2×C17D4×#4111yescharacteristic
1048C2×C17C2×#57711yescharacteristic
1049C2×C17#358611yescharacteristic
1050C2×#41—21no—
1051C2×#41C23×C1711yescharacteristic
1052C22×Q8C23×C1711yescharacteristic
1053C22×Q8C23×C1711yescharacteristic
1054C22×Q8C23×C1711yescharacteristic
1055C22×D4—21no—
1056C22×D4C23×C1711yescharacteristic
1057C22×D4C23×C1711yescharacteristic
1058C23×C4—21no—
1059#137—24no—
1060C2×Q16C23×C1711yescharacteristic
1061C2×Q16C23×C1711yescharacteristic
1062C2×Q16C23×C1711yescharacteristic
1063C2×Q16C23×C1711yescharacteristic
1064C2×SD16—24no—
1065C2×SD16—24no—
1066C2×SD16C23×C1711yescharacteristic
1067C2×SD16C23×C1711yescharacteristic
1068C2×SD16C23×C1711yescharacteristic
1069C2×SD16C23×C1711yescharacteristic
1070C2×SD16C23×C1711yescharacteristic
1071C2×SD16C23×C1711yescharacteristic
1072C2×SD16C23×C1711yescharacteristic
1073C2×SD16C23×C1711yescharacteristic
1074C2×SD16C23×C1711yescharacteristic
1075C2×SD16C23×C1711yescharacteristic
1076C2×SD16C23×C1711yescharacteristic
1077C2×SD16C23×C1711yescharacteristic
1078C2×M16C23×C1711yescharacteristic
1079C2×M16C23×C1711yescharacteristic
1080C22×C8C23×C1711yescharacteristic
1081C22×C8C23×C1711yescharacteristic
1082C22×C8C23×C1711yescharacteristic
1083C22×C8C23×C1711yescharacteristic
1084C4⋊Q8—21no—
1085C4⋊Q8—21no—
1086C4⋊Q8—21no—
1087C4⋊Q8—21no—
1088C4⋊Q8C23×C1711yescharacteristic
1089C4⋊Q8C23×C1711yescharacteristic
1090C4⋊Q8C23×C1711yescharacteristic
1091C4⋊Q8C23×C1711yescharacteristic
1092C4⋊Q8C23×C1711yescharacteristic
1093#127C23×C1711yescharacteristic
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126D4×C1711yescharacteristic
1107#126D4×C1711yescharacteristic
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125—21no—
1121#125D4×C1711yescharacteristic
1122#125C23×C1711yescharacteristic
1123#125C23×C1711yescharacteristic
1124#125C23×C1711yescharacteristic
1125#125C23×C1711yescharacteristic
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124D4×C1711yescharacteristic
1130#124C23×C1711yescharacteristic
1131#124C23×C1711yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—21no—
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#123D4×C1711yescharacteristic
1147#123D4×C1711yescharacteristic
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8D4×C1711yescharacteristic
1161C22⋊Q8C23×C1711yescharacteristic
1162C22⋊Q8C23×C1711yescharacteristic
1163C22⋊Q8C23×C1711yescharacteristic
1164C22⋊Q8C23×C1711yescharacteristic
1165C22⋊Q8C23×C1711yescharacteristic
1166C22⋊Q8C23×C1711yescharacteristic
1167C22⋊Q8C23×C1711yescharacteristic
1168C22⋊Q8C23×C1711yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121D4×C1711yescharacteristic
1176#121C23×C1711yescharacteristic
1177#121C23×C1711yescharacteristic
1178#121C23×C1711yescharacteristic
1179#121C23×C1711yescharacteristic
1180#120—21no—
1181#120—21no—
1182#120—21no—
1183#120—21no—
1184C4×Q8—21no—
1185C4×Q8—21no—
1186C4×Q8—21no—
1187C4×Q8—21no—
1188C4×Q8—21no—
1189C4×Q8—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8C23×C1711yescharacteristic
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×Q8C23×C1711yescharacteristic
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×D4C23×C1711yescharacteristic
1220C4×D4C23×C1711yescharacteristic
1221C4×D4C23×C1711yescharacteristic
1222C4×D4C23×C1711yescharacteristic
1223C4×D4C23×C1711yescharacteristic
1224C4×D4C23×C1711yescharacteristic
1225C4×D4C23×C1711yescharacteristic
1226C4×D4C23×C1711yescharacteristic
1227C4×D4C23×C1711yescharacteristic
1228C4×D4C23×C1711yescharacteristic
1229C4×D4C23×C1711yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117C23×C1711yescharacteristic
1241#117C23×C1711yescharacteristic
1242#117C23×C1711yescharacteristic
1243#117C23×C1711yescharacteristic
1244#117C23×C1711yescharacteristic
1245C2×C4⋊C4—21no—
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—21no—
1248C2×C4⋊C4C23×C1711yescharacteristic
1249C2×C4⋊C4C23×C1711yescharacteristic
1250C2×C4⋊C4C23×C1711yescharacteristic
1251C2×C22⋊C4—21no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—21no—
1256C2×C42—21no—
1257C2×C42C23×C1711yescharacteristic
1258#107C23×C1711yescharacteristic
1259#107C23×C1711yescharacteristic
1260#107C23×C1711yescharacteristic
1261#107C23×C1711yescharacteristic
1262#107C23×C1711yescharacteristic
1263#107C23×C1711yescharacteristic
1264#107C23×C1711yescharacteristic
1265#107C23×C1711yescharacteristic
1266#106C23×C1711yescharacteristic
1267#106C23×C1711yescharacteristic
1268#106C23×C1711yescharacteristic
1269#106C23×C1711yescharacteristic
1270#106C23×C1711yescharacteristic
1271#106C23×C1711yescharacteristic
1272#106C23×C1711yescharacteristic
1273#106C23×C1711yescharacteristic
1274C4⋊C8C23×C1711yescharacteristic
1275C4⋊C8C23×C1711yescharacteristic
1276C4⋊C8C23×C1711yescharacteristic
1277C4⋊C8C23×C1711yescharacteristic
1278C4⋊C8C23×C1711yescharacteristic
1279C4⋊C8C23×C1711yescharacteristic
1280#103C23×C1711yescharacteristic
1281#103C23×C1711yescharacteristic
1282#103C23×C1711yescharacteristic
1283#103C23×C1711yescharacteristic
1284#103C23×C1711yescharacteristic
1285#103C23×C1711yescharacteristic
1286#103C23×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#102C23×C1711yescharacteristic
1301#102C23×C1711yescharacteristic
1302#102C23×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
1312C22⋊C8C23×C1711yescharacteristic
1313C22⋊C8C23×C1711yescharacteristic
1314C22⋊C8C23×C1711yescharacteristic
1315C22⋊C8C23×C1711yescharacteristic
1316C22⋊C8C23×C1711yescharacteristic
1317C22⋊C8C23×C1711yescharacteristic
1318#97C23×C1711yescharacteristic
1319#97C23×C1711yescharacteristic
1320#97C23×C1711yescharacteristic
1321#97C23×C1711yescharacteristic
1322#97C23×C1711yescharacteristic
1323#97C23×C1711yescharacteristic
1324C4×C8C23×C1711yescharacteristic
1325C4×C8C23×C1711yescharacteristic
1326C4×C8C23×C1711yescharacteristic
1327C4×C8C23×C1711yescharacteristic
1328C17#6152011yescharacteristic, direct product factor, Sylow
1329C24—21no—
1330C24—21no—
1331#41—22no—
1332#41—41no—
1333#41—82no—
1334C2×Q8—21no—
1335C2×Q8—21no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—41no—
1345C2×Q8C2×D4×C1711yescharacteristic
1346C2×Q8C24×C1711yescharacteristic
1347C2×Q8C24×C1711yescharacteristic
1348C2×Q8C24×C1711yescharacteristic
1349C2×Q8C24×C1711yescharacteristic
1350C2×Q8C24×C1711yescharacteristic
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—82no—
1365C2×D4C2×D4×C1711yescharacteristic
1366C2×D4C2×D4×C1711yescharacteristic
1367C2×D4C2×D4×C1711yescharacteristic
1368C2×D4C24×C1711yescharacteristic
1369C2×D4C24×C1711yescharacteristic
1370C2×D4C24×C1711yescharacteristic
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—82no—
1387C22×C4C2×D4×C1711yescharacteristic
1388C22×C4C2×D4×C1711yescharacteristic
1389C22×C4C24×C1711yescharacteristic
1390C22×C4C24×C1711yescharacteristic
1391C22×C4C24×C1711yescharacteristic
1392Q16—22no—
1393Q16—22no—
1394Q16—41no—
1395Q16—41no—
1396SD16—22no—
1397SD16—22no—
1398SD16—22no—
1399SD16—22no—
1400SD16—22no—
1401SD16—22no—
1402SD16—22no—
1403SD16—41no—
1404SD16—41no—
1405SD16—41no—
1406SD16—41no—
1407SD16#41×C1714yescomplemented
1408M16—22no—
1409M16—41no—
1410C2×C8—22no—
1411C2×C8—22no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8C24×C1711yescharacteristic
1415C2×C8C24×C1711yescharacteristic
1416C2×C8C24×C1711yescharacteristic
1417C2×C8C24×C1711yescharacteristic
1418C2×C8C24×C1711yescharacteristic
1419C2×C8C24×C1711yescharacteristic
1420C2×C8C24×C1711yescharacteristic
1421C2×C8C24×C1711yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
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⋊C4C2×D4×C1711yescharacteristic
1462C4⋊C4C2×D4×C1711yescharacteristic
1463C4⋊C4C2×D4×C1711yescharacteristic
1464C4⋊C4C2×D4×C1711yescharacteristic
1465C4⋊C4C2×D4×C1711yescharacteristic
1466C4⋊C4C2×D4×C1711yescharacteristic
1467C4⋊C4C2×D4×C1711yescharacteristic
1468C4⋊C4C2×D4×C1711yescharacteristic
1469C4⋊C4C2×D4×C1711yescharacteristic
1470C4⋊C4C2×D4×C1711yescharacteristic
1471C4⋊C4C24×C1711yescharacteristic
1472C4⋊C4C24×C1711yescharacteristic
1473C4⋊C4C24×C1711yescharacteristic
1474C4⋊C4C24×C1711yescharacteristic
1475C4⋊C4C24×C1711yescharacteristic
1476C4⋊C4C24×C1711yescharacteristic
1477C4⋊C4C24×C1711yescharacteristic
1478C4⋊C4C24×C1711yescharacteristic
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
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⋊C4C2×D4×C1711yescharacteristic
1507C22⋊C4C2×D4×C1711yescharacteristic
1508C22⋊C4C2×D4×C1711yescharacteristic
1509C22⋊C4C2×D4×C1711yescharacteristic
1510C22⋊C4C2×D4×C1711yescharacteristic
1511C22⋊C4C2×D4×C1711yescharacteristic
1512C22⋊C4C2×D4×C1711yescharacteristic
1513C22⋊C4C2×D4×C1711yescharacteristic
1514C22⋊C4C2×D4×C1711yescharacteristic
1515C22⋊C4C2×D4×C1711yescharacteristic
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42C2×D4×C1711yescharacteristic
1532C42C2×D4×C1711yescharacteristic
1533C42C24×C1711yescharacteristic
1534C42C24×C1711yescharacteristic
1535C42C24×C1711yescharacteristic
1536C42C24×C1711yescharacteristic
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—42no—
1541C23—42no—
1542C23—42no—
1543C23—81no—
1544C23—81no—
1545C23—81no—
1546C23C22×D4×C1711yescharacteristic
1547C23C22×D4×C1711yescharacteristic
1548C23C22×D4×C1711yescharacteristic
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—41no—
1559Q8—42no—
1560Q8—42no—
1561Q8—42no—
1562Q8—42no—
1563Q8—81no—
1564Q8C2×#41×C1712yes—
1565D4—22no—
1566D4—22no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—42no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4C2×#41×C1712yes—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
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—41no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4C22×D4×C1711yescharacteristic
1620C2×C4C22×D4×C1711yescharacteristic
1621C2×C4C22×D4×C1711yescharacteristic
1622C2×C4C22×D4×C1711yescharacteristic
1623C2×C4C22×D4×C1711yescharacteristic
1624C2×C4C22×D4×C1711yescharacteristic
1625C2×C4C22×D4×C1711yescharacteristic
1626C2×C4C22×D4×C1711yescharacteristic
1627C2×C4C22×D4×C1711yescharacteristic
1628C2×C4C22×D4×C1711yescharacteristic
1629C2×C4C22×D4×C1711yescharacteristic
1630C2×C4C25×C1711yescharacteristic
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C8C2×#41×C1712yes—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—22no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—84no—
1657C22—162no—
1658C22C17×#57712yes—
1659C22C23×D4×C1711yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—22no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4C22×#41×C1711yescharacteristic
1685C4C17×#58511yescharacteristic
1686C2—22no—
1687C2—41no—
1688C2—41no—
1689C2—42no—
1690C2—81no—
1691C2—81no—
1692C2D4×#41×C1711yescharacteristic
1693C2C2×C17×#57711yescharacteristic
1694C2C17×#358611yescharacteristic
subgroupG/H
center, socleC22×C17C23×D4
commutator, Frattini, cosocleC2×C4C25×C17
prime radicalC17×#3513C2
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×#3523C2semidirect
3. C17×#3400C2semidirect
4. C17×#3388C2semidirect
5. C17×#3372C2semidirect
6. C17×#3371C2semidirect
7. C17×#3350C2semidirect
8. C17×#3343C2semidirect
9. C17×#3336C2semidirect
10. C17×#3320C2semidirect
11. C17×#3312C2semidirect
12. C17×#3311C2semidirect
13. C17×#3310C2semidirect
14. C17×#3298C2semidirect
15. C17×#3296C2semidirect
16. D4×SD16×C17C2semidirect
17. C17×#3266C2semidirect
18. C17×#3266C2semidirect
19. C17×#3181C2semidirect
20. C17×#3178C2semidirect
21. C17×#3174C2semidirect
22. C17×#3126C2semidirect
23. C17×#3123C2semidirect
24. C17×#3121C2semidirect
25. C17×#3120C2semidirect
26. C17×#3108C2semidirect
27. C17×#3101C2semidirect
28. C17×#2968C2semidirect
29. C17×#2949C2semidirect
30. C17×#2947C2semidirect
31. C2×C17×#440C2semidirect
37. C17×#557C22semidirect
38. C17×#557C22semidirect
40. C17×#556C22semidirect
48. C17×#552C22semidirect
52. D4×Q8×C17C22semidirect
53. D4×Q8×C17C22semidirect
62. C17×#541C22semidirect
63. C17×#541C22semidirect
68. C17×#533C22semidirect
75. C17×#519C22semidirect
76. C17×#519C22semidirect
78. C2×C4×Q8×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
83. C17×#497C22semidirect
84. C17×#497C22semidirect
86. C17×#491C22semidirect
87. C17×#491C22semidirect
89. C17×#489C22semidirect
90. C17×#488C22semidirect
91. C17×#487C22semidirect
92. C17×#485C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#484C22semidirect
96. C17×#483C22semidirect
97. C17×#483C22semidirect
98. C17×#483C22semidirect
99. C17×#483C22semidirect
101. C17×#482C22semidirect
102. C17×#482C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
107. C17×#479C22semidirect
108. C17×#479C22semidirect
111. C17×#478C22semidirect
112. C17×#477C22semidirect
114. C17×#476C22semidirect
115. C17×#475C22semidirect
116. C17×#470C22semidirect
118. C17×#468C22semidirect
119. C17×#468C22semidirect
120. C17×#467C22semidirect
121. C17×#467C22semidirect
122. C17×#467C22semidirect
126. C17×#465C22semidirect
127. C17×#465C22semidirect
128. C17×#464C22semidirect
129. C17×#464C22semidirect
130. C17×#464C22semidirect
131. C17×#464C22semidirect
132. C17×#462C22semidirect
136. C17×#461C22semidirect
137. C17×#461C22semidirect
142. C17×#451C22semidirect
143. C17×#451C22semidirect
150. C17×#448C22semidirect
151. C17×#448C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
154. C17×#441C22semidirect
155. C17×#441C22semidirect
156. C17×#441C22semidirect
163. C17×#440C22semidirect
164. C17×#440C22semidirect
165. C17×#440C22semidirect
166. C17×#440C22semidirect
167. C17×#440C22semidirect
168. C17×#440C22semidirect
169. C17×#440C22semidirect
170. C4×Q16×C17C22semidirect
171. C4×Q16×C17C22semidirect
172. C4×Q16×C17C22semidirect
177. C4×SD16×C17C22semidirect
178. C4×SD16×C17C22semidirect
179. C4×SD16×C17C22semidirect
180. C4×SD16×C17C22semidirect
181. C4×SD16×C17C22semidirect
183. C17×#435C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
187. C8×D4×C17C22semidirect
188. C17×#433C22semidirect
189. C17×#433C22semidirect
190. C17×#431C22semidirect
191. C17×#428C22semidirect
192. C17×#427C22semidirect
193. C2×C17×#107C22semidirect
194. C17×#419C22semidirect
197. C2×C17×#103C22semidirect
198. C2×C17×#103C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C2×C17×#97C22semidirect
559. SD16×C17#41semidirect
689. #61520C17direct (N × H)
792. #3523C2×C17semidirect
794. #3400C2×C17semidirect
795. #3388C2×C17semidirect
796. #3372C2×C17semidirect
797. #3371C2×C17semidirect
798. #3350C2×C17semidirect
799. #3343C2×C17semidirect
800. #3336C2×C17semidirect
801. #3320C2×C17semidirect
802. #3312C2×C17semidirect
803. #3311C2×C17semidirect
804. #3310C2×C17semidirect
805. #3298C2×C17semidirect
806. #3296C2×C17semidirect
807. D4×SD16C2×C17semidirect
808. #3266C2×C17semidirect
809. #3266C2×C17semidirect
810. #3181C2×C17semidirect
811. #3178C2×C17semidirect
812. #3174C2×C17semidirect
813. #3126C2×C17semidirect
814. #3123C2×C17semidirect
815. #3121C2×C17semidirect
816. #3120C2×C17semidirect
817. #3108C2×C17semidirect
818. #3101C2×C17semidirect
819. #2968C2×C17semidirect
820. #2949C2×C17semidirect
821. #2947C2×C17semidirect
822. C2×#440C2×C17semidirect
875. #557C22×C17semidirect
876. #557C22×C17semidirect
878. #556C22×C17semidirect
886. #552C22×C17semidirect
890. D4×Q8C22×C17semidirect
891. D4×Q8C22×C17semidirect
900. #541C22×C17semidirect
901. #541C22×C17semidirect
906. #533C22×C17semidirect
913. #519C22×C17semidirect
914. #519C22×C17semidirect
916. C2×C4×Q8C22×C17semidirect
918. #501C22×C17semidirect
919. #501C22×C17semidirect
920. #499C22×C17semidirect
921. #497C22×C17semidirect
922. #497C22×C17semidirect
924. #491C22×C17semidirect
925. #491C22×C17semidirect
927. #489C22×C17semidirect
928. #488C22×C17semidirect
929. #487C22×C17semidirect
930. #485C22×C17semidirect
931. #485C22×C17semidirect
932. #485C22×C17semidirect
933. #484C22×C17semidirect
934. #483C22×C17semidirect
935. #483C22×C17semidirect
936. #483C22×C17semidirect
937. #483C22×C17semidirect
939. #482C22×C17semidirect
940. #482C22×C17semidirect
942. #479C22×C17semidirect
943. #479C22×C17semidirect
944. #479C22×C17semidirect
945. #479C22×C17semidirect
946. #479C22×C17semidirect
949. #478C22×C17semidirect
950. #477C22×C17semidirect
952. #476C22×C17semidirect
953. #475C22×C17semidirect
954. #470C22×C17semidirect
956. #468C22×C17semidirect
957. #468C22×C17semidirect
958. #467C22×C17semidirect
959. #467C22×C17semidirect
960. #467C22×C17semidirect
964. #465C22×C17semidirect
965. #465C22×C17semidirect
966. #464C22×C17semidirect
967. #464C22×C17semidirect
968. #464C22×C17semidirect
969. #464C22×C17semidirect
970. #462C22×C17semidirect
974. #461C22×C17semidirect
975. #461C22×C17semidirect
980. #451C22×C17semidirect
981. #451C22×C17semidirect
988. #448C22×C17semidirect
989. #448C22×C17semidirect
990. #446C22×C17semidirect
991. #446C22×C17semidirect
992. #441C22×C17semidirect
993. #441C22×C17semidirect
994. #441C22×C17semidirect
1001. #440C22×C17semidirect
1002. #440C22×C17semidirect
1003. #440C22×C17semidirect
1004. #440C22×C17semidirect
1005. #440C22×C17semidirect
1006. #440C22×C17semidirect
1007. #440C22×C17semidirect
1008. C4×Q16C22×C17semidirect
1009. C4×Q16C22×C17semidirect
1010. C4×Q16C22×C17semidirect
1015. C4×SD16C22×C17semidirect
1016. C4×SD16C22×C17semidirect
1017. C4×SD16C22×C17semidirect
1018. C4×SD16C22×C17semidirect
1019. C4×SD16C22×C17semidirect
1021. #435C22×C17semidirect
1022. #435C22×C17semidirect
1023. #435C22×C17semidirect
1025. C8×D4C22×C17semidirect
1026. #433C22×C17semidirect
1027. #433C22×C17semidirect
1028. #431C22×C17semidirect
1029. #428C22×C17semidirect
1030. #427C22×C17semidirect
1031. C2×#107C22×C17semidirect
1032. #419C22×C17semidirect
1035. C2×#103C22×C17semidirect
1036. C2×#103C22×C17semidirect
1038. #405C22×C17semidirect
1039. #405C22×C17semidirect
1040. C2×#97C22×C17semidirect
1328. C17#61520direct (N × H)
1407. SD16#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#35232
C17×#35132
C17×#34002
C17×#33882
C17×#33722
C17×#33712
C17×#33502
C17×#33432
C17×#33362
C17×#33202
C17×#33122
C17×#33112
C17×#33102
C17×#32982
C17×#32962
D4×SD16×C172
C17×#32662
C17×#31812
C17×#31782
C17×#31742
C17×#31262
C17×#31232
C17×#31212
C17×#31202
C17×#31082
C17×#31012
C17×#29682
C17×#29492
C17×#29472
C2×C17×#4402
#6152017