Finite Group Databasebeta

← C17×#61615 #16919359

Subgroups — C17×#61615 #16919359

Order 4352.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3541C211yesmaximal, characteristic, complemented
2C17×#3487C211yesmaximal, characteristic, complemented
3C17×#3333C211yesmaximal, characteristic, complemented
4C17×#3326C211yesmaximal, characteristic, complemented
5C17×#3317C211yesmaximal, characteristic, complemented
6C17×#3316C211yesmaximal, characteristic, complemented
7C17×#3313C211yesmaximal, characteristic, complemented
8C17×#3309C211yesmaximal, characteristic, complemented
9C17×#3304C211yesmaximal, characteristic, complemented
10C17×#3300C211yesmaximal, characteristic, complemented
11C17×#3285C211yesmaximal, characteristic, complemented
12C17×#3284C211yesmaximal, characteristic, complemented
13C17×#3278C211yesmaximal, characteristic, complemented
14C17×#3277C211yesmaximal, characteristic, complemented
15C17×#3271C211yesmaximal, characteristic, complemented
16C17×#3271C211yesmaximal, characteristic, complemented
17C17×#3270C211yesmaximal, characteristic, complemented
18C17×#3269C211yesmaximal, characteristic, complemented
19C17×#3224C211yesmaximal, characteristic, complemented
20C17×#3222C211yesmaximal, characteristic, complemented
21C17×#3200C211yesmaximal, characteristic, complemented
22C17×#3198C211yesmaximal, characteristic, complemented
23C17×#3197C211yesmaximal, characteristic, complemented
24C17×#3190C211yesmaximal, characteristic, complemented
25C17×#3127C211yesmaximal, characteristic, complemented
26C17×#3121C211yesmaximal, characteristic, complemented
27C17×#3013C211yesmaximal, characteristic, complemented
28C17×#3011C211yesmaximal, characteristic, complemented
29C17×#3007C211yesmaximal, characteristic, complemented
30C17×#3002C211yesmaximal, characteristic, complemented
31C17×#2976C211yesmaximal, characteristic, complemented
32C2×C17×2−1+4C2211yescharacteristic
33C22×#41×C17C2211yescharacteristic
34C2×C17×#137C2211yescharacteristic
35C2×C17×#137C2211yescharacteristic
36C2×C17×#137C2211yescharacteristic, complemented
37C2×C17×#137C2211yescharacteristic, complemented
38C2×C17×#135C2211yescharacteristic
39C2×C17×#135C2211yescharacteristic
40C2×C17×#135C2211yescharacteristic, complemented
41C22×Q16×C17C2211yescharacteristic, complemented
42C17×#563—21no—
43C17×#562—21no—
44C17×#556C2211yescharacteristic, complemented
45C17×#554—21no—
46C17×#554C2211yescharacteristic, complemented
47C17×#553—21no—
48C17×#553C2211yescharacteristic, complemented
49C17×#552C2211yescharacteristic, complemented
50C17×#550—21no—
51C17×#550—21no—
52C17×#550C2211yescharacteristic
53C17×#550C2211yescharacteristic
54C17×#550C2211yescharacteristic
55C17×#550C2211yescharacteristic
56D4×Q8×C17C2211yescharacteristic, complemented
57C17×#548—21no—
58C17×#548—21no—
59C17×#548C2211yescharacteristic
60C17×#548C2211yescharacteristic
61C17×#548C2211yescharacteristic
62C17×#548C2211yescharacteristic
63C17×#548C2211yescharacteristic, complemented
64C17×#548C2211yescharacteristic, complemented
65C17×#547C2211yescharacteristic, complemented
66C17×#542—21no—
67C17×#542C2211yescharacteristic
68C17×#541C2211yescharacteristic
69C17×#539—21no—
70C17×#538—21no—
71C17×#538—21no—
72C17×#537C2211yescharacteristic
73C17×#536C2211yescharacteristic
74C17×#535—21no—
75C17×#535—21no—
76C17×#535C2211yescharacteristic
77C17×#535C2211yescharacteristic
78C17×#525—21no—
79C17×#525—21no—
80C17×#525C2211yescharacteristic
81C17×#525C2211yescharacteristic
82C17×#525C2211yescharacteristic
83C2×C17×C22⋊Q8C2211yescharacteristic
84C17×#519C2211yescharacteristic
85C17×#497C2211yescharacteristic, complemented
86C17×#496C2211yescharacteristic, complemented
87C17×#495C2211yescharacteristic, complemented
88C17×#492C2211yescharacteristic, complemented
89C17×#490C2211yescharacteristic, complemented
90C17×#489C2211yescharacteristic, complemented
91C17×#488C2211yescharacteristic, complemented
92C17×#486C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic
94C17×#485C2211yescharacteristic
95C17×#485C2211yescharacteristic
96C17×#485C2211yescharacteristic, complemented
97C17×#483C2211yescharacteristic, complemented
98C17×#482C2211yescharacteristic
99C17×#482C2211yescharacteristic, complemented
100C17×#482C2211yescharacteristic, complemented
101C17×#482C2211yescharacteristic, complemented
102C17×#481C2211yescharacteristic, complemented
103C17×#480C2211yescharacteristic, complemented
104C17×#480C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#477C2211yescharacteristic, complemented
108C17×#475C2211yescharacteristic, complemented
109C17×#470C2211yescharacteristic, complemented
110C17×#469C2211yescharacteristic, complemented
111C17×#469C2211yescharacteristic, complemented
112C17×#468C2211yescharacteristic, complemented
113C17×#468C2211yescharacteristic, complemented
114C17×#468C2211yescharacteristic, complemented
115C17×#468C2211yescharacteristic, complemented
116C17×#468C2211yescharacteristic, complemented
117C17×#467C2211yescharacteristic, complemented
118C17×#467C2211yescharacteristic, complemented
119C17×#466C2211yescharacteristic, complemented
120C17×#465C2211yescharacteristic, complemented
121C17×#465C2211yescharacteristic, complemented
122C17×#465C2211yescharacteristic, complemented
123C17×#465C2211yescharacteristic, complemented
124C17×#465C2211yescharacteristic, complemented
125C17×#464C2211yescharacteristic, complemented
126C17×#464C2211yescharacteristic, complemented
127C17×#464C2211yescharacteristic, complemented
128C17×#464C2211yescharacteristic, complemented
129C17×#464C2211yescharacteristic, complemented
130C17×#463C2211yescharacteristic, complemented
131C17×#462C2211yescharacteristic, complemented
132C17×#462C2211yescharacteristic, complemented
133C17×#460C2211yescharacteristic, complemented
134C17×#460C2211yescharacteristic, complemented
135C17×#460C2211yescharacteristic, complemented
136C17×#459C2211yescharacteristic, complemented
137C17×#452C2211yescharacteristic
138C17×#452C2211yescharacteristic
139C17×#452C2211yescharacteristic
140C17×#452C2211yescharacteristic
141C17×#452C2211yescharacteristic
142C17×#452C2211yescharacteristic
143C17×#452C2211yescharacteristic
144C17×#452C2211yescharacteristic
145C17×#452C2211yescharacteristic
146C17×#452C2211yescharacteristic, complemented
147C17×#452C2211yescharacteristic, complemented
148C17×#452C2211yescharacteristic, complemented
149C17×#452C2211yescharacteristic, complemented
150C17×#451C2211yescharacteristic
151C17×#451C2211yescharacteristic
152C17×#451C2211yescharacteristic
153C17×#451C2211yescharacteristic, complemented
154C17×#451C2211yescharacteristic, complemented
155C17×#451C2211yescharacteristic, complemented
156C17×#451C2211yescharacteristic, complemented
157C17×#450C2211yescharacteristic
158C17×#450C2211yescharacteristic
159C17×#450C2211yescharacteristic
160C17×#449C2211yescharacteristic
161C17×#449C2211yescharacteristic
162C17×#449C2211yescharacteristic
163C17×#449C2211yescharacteristic, complemented
164C17×#449C2211yescharacteristic, complemented
165C17×#449C2211yescharacteristic, complemented
166C17×#449C2211yescharacteristic, complemented
167C17×#448C2211yescharacteristic
168C17×#448C2211yescharacteristic, complemented
169C17×#448C2211yescharacteristic, complemented
170C17×#448C2211yescharacteristic, complemented
171C17×#448C2211yescharacteristic, complemented
172C17×#447C2211yescharacteristic
173C17×#441C2211yescharacteristic, complemented
174C17×#441C2211yescharacteristic, complemented
175C17×#441C2211yescharacteristic, complemented
176C17×#440C2211yescharacteristic, complemented
177C4×Q16×C17C2211yescharacteristic, complemented
178C4×Q16×C17C2211yescharacteristic, complemented
179C4×Q16×C17C2211yescharacteristic, complemented
180C4×SD16×C17C2211yescharacteristic, complemented
181C17×#436C2211yescharacteristic, complemented
182C17×#436C2211yescharacteristic, complemented
183C17×#435C2211yescharacteristic, complemented
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C17×#435C2211yescharacteristic, complemented
187C8×D4×C17C2211yescharacteristic, complemented
188C8×D4×C17C2211yescharacteristic, complemented
189C17×#433C2211yescharacteristic
190C17×#433C2211yescharacteristic
191C17×#419C2211yescharacteristic, complemented
192C17×#417C2211yescharacteristic
193C17×#417C2211yescharacteristic
194C17×#417C2211yescharacteristic, complemented
195C17×#416C2211yescharacteristic
196C17×#416C2211yescharacteristic
197C17×#416C2211yescharacteristic, complemented
198C2×C17×#103C2211yescharacteristic, complemented
199C17×#408C2211yescharacteristic
200C17×#408C2211yescharacteristic
201C17×#407C2211yescharacteristic
202C2×C17×C22⋊C8C2211yescharacteristic
203C17×2−1+4—42no—
204C17×2−1+4—42no—
205C2×#41×C17—21no—
206C2×#41×C17—21no—
207C2×#41×C17—21no—
208C2×#41×C17—21no—
209C2×#41×C17—21no—
210C2×#41×C17—42no—
211C2×#41×C17—42no—
212C2×#41×C17C2311yescharacteristic
213C2×#41×C17C2311yescharacteristic
214C2×#41×C17C2311yescharacteristic
215C2×#41×C17C2311yescharacteristic
216C2×#41×C17C2311yescharacteristic
217C2×#41×C17C2311yescharacteristic
218C2×#41×C17C2311yescharacteristic
219C2×#41×C17C2311yescharacteristic
220C2×#41×C17C2311yescharacteristic
221C2×#41×C17C2311yescharacteristic
222C22×Q8×C17—21no—
223C22×Q8×C17C2311yescharacteristic
224C22×Q8×C17C2311yescharacteristic
225C22×Q8×C17C2311yescharacteristic
226C22×Q8×C17C2311yescharacteristic
227C22×Q8×C17C2311yescharacteristic
228C22×D4×C17—21no—
229C22×D4×C17C2311yescharacteristic
230C23×C4×C17—21no—
231C23×C4×C17C2311yescharacteristic
232C17×#137—42no—
233C17×#137—42no—
234C17×#137—42no—
235C17×#137—42no—
236C17×#135—42no—
237C17×#135—42no—
238C17×#135—42no—
239C2×Q16×C17—42no—
240C2×Q16×C17C2311yescharacteristic
241C2×Q16×C17C2311yescharacteristic
242C2×Q16×C17C2311yescharacteristic
243C2×Q16×C17C2311yescharacteristic
244C2×Q16×C17C2311yescharacteristic
245C2×Q16×C17C2311yescharacteristic
246C2×Q16×C17C2311yescharacteristic
247C2×Q16×C17C2311yescharacteristic
248C2×Q16×C17C2311yescharacteristic
249C2×SD16×C17C2311yescharacteristic
250C2×SD16×C17C2311yescharacteristic
251C2×SD16×C17C2311yescharacteristic
252C2×SD16×C17C2311yescharacteristic
253C2×SD16×C17C2311yescharacteristic
254C2×SD16×C17C2311yescharacteristic
255C2×SD16×C17C2311yescharacteristic
256C2×SD16×C17C2311yescharacteristic
257C2×SD16×C17C2311yescharacteristic
258C2×SD16×C17C2311yescharacteristic
259C2×SD16×C17C2311yescharacteristic
260C2×SD16×C17C2311yescharacteristic
261C2×D8×C17C2311yescharacteristic
262C2×D8×C17C2311yescharacteristic
263C2×D8×C17C2311yescharacteristic
264C2×M16×C17C2311yescharacteristic
265C2×M16×C17C2311yescharacteristic
266C2×M16×C17C2311yescharacteristic
267C2×M16×C17C2311yescharacteristic
268C22×C8×C17C2311yescharacteristic
269C22×C8×C17C2311yescharacteristic
270C22×C8×C17C2311yescharacteristic
271C22×C8×C17C2311yescharacteristic
272C17×C4⋊Q8—21no—
273C17×C4⋊Q8—21no—
274C17×C4⋊Q8C2311yescharacteristic
275C17×C4⋊Q8C2311yescharacteristic
276C17×#127—21no—
277C17×#127—21no—
278C17×#127—21no—
279C17×#127—21no—
280C17×#127—21no—
281C17×#127C2311yescharacteristic
282C17×#127C2311yescharacteristic
283C17×#126—21no—
284C17×#126—21no—
285C17×#126—21no—
286C17×#126—21no—
287C17×#126—21no—
288C17×#126—21no—
289C17×#126—21no—
290C17×#125—21no—
291C17×#125—21no—
292C17×#125—21no—
293C17×#125—21no—
294C17×#125C2311yescharacteristic
295C17×#124—21no—
296C17×#124—21no—
297C17×#124—21no—
298C17×#124—21no—
299C17×#124—21no—
300C17×#124—21no—
301C17×#124—21no—
302C17×#124—21no—
303C17×#124—21no—
304C17×#124—21no—
305C17×#124C2311yescharacteristic
306C17×#124C2311yescharacteristic
307C17×#124C2311yescharacteristic
308C17×#123—21no—
309C17×#123—21no—
310C17×#123—21no—
311C17×#123—21no—
312C17×#123—21no—
313C17×#123—21no—
314C17×#123—21no—
315C17×#123—21no—
316C17×#123—21no—
317C17×#123D411yescharacteristic
318C17×#123D411yescharacteristic
319C17×C22⋊Q8—21no—
320C17×C22⋊Q8—21no—
321C17×C22⋊Q8—21no—
322C17×C22⋊Q8—21no—
323C17×C22⋊Q8—21no—
324C17×C22⋊Q8—21no—
325C17×C22⋊Q8—21no—
326C17×C22⋊Q8—21no—
327C17×C22⋊Q8—21no—
328C17×C22⋊Q8—21no—
329C17×C22⋊Q8—21no—
330C17×C22⋊Q8—21no—
331C17×C22⋊Q8—21no—
332C17×C22⋊Q8—21no—
333C17×C22⋊Q8D411yescharacteristic
334C17×C22⋊Q8D411yescharacteristic
335C17×C22⋊Q8C2311yescharacteristic
336C17×C22⋊Q8C2311yescharacteristic
337C17×C22⋊Q8C2311yescharacteristic
338C17×C22⋊Q8C2311yescharacteristic
339C17×C22⋊Q8C2311yescharacteristic
340C17×C22⋊Q8C2311yescharacteristic
341C17×C22⋊Q8C2311yescharacteristic
342C17×C22⋊Q8C2311yescharacteristic
343C17×C22⋊Q8C2311yescharacteristic
344C17×C22⋊Q8C2311yescharacteristic
345C17×C22⋊Q8C2311yescharacteristic
346C17×#121—21no—
347C17×#121—21no—
348C17×#121—21no—
349C17×#121—21no—
350C17×#121—21no—
351C17×#121—21no—
352C17×#121—21no—
353C17×#121—21no—
354C17×#121—21no—
355C17×#121—21no—
356C17×#121—21no—
357C17×#121—21no—
358C17×#121—21no—
359C17×#121—21no—
360C17×#121—21no—
361C17×#121—21no—
362C17×#121—21no—
363C17×#121—21no—
364C17×#121—21no—
365C17×#121—21no—
366C17×#121—21no—
367C17×#121D411yescharacteristic
368C17×#121D411yescharacteristic
369C17×#121C2311yescharacteristic
370C17×#121C2311yescharacteristic
371C17×#121C2311yescharacteristic
372C17×#121C2311yescharacteristic
373C17×#121C2311yescharacteristic
374C17×#121C2311yescharacteristic
375C17×#121C2311yescharacteristic
376C17×#121C2311yescharacteristic
377C17×#121C2311yescharacteristic
378C17×#120—21no—
379C17×#120—21no—
380C17×#120—21no—
381C17×#120—21no—
382C17×#120—21no—
383C17×#120—21no—
384C17×#120D411yescharacteristic
385C17×#120D411yescharacteristic
386C4×Q8×C17—21no—
387C4×Q8×C17—21no—
388C4×Q8×C17—21no—
389C4×Q8×C17C2311yescharacteristic
390C4×Q8×C17C2311yescharacteristic
391C4×Q8×C17C2311yescharacteristic
392C4×Q8×C17C2311yescharacteristic
393C4×Q8×C17C2311yescharacteristic
394C4×Q8×C17C2311yescharacteristic
395C4×Q8×C17C2311yescharacteristic
396C4×D4×C17—21no—
397C4×D4×C17—21no—
398C4×D4×C17—21no—
399C4×D4×C17—21no—
400C4×D4×C17—21no—
401C4×D4×C17—21no—
402C4×D4×C17—21no—
403C4×D4×C17—21no—
404C4×D4×C17—21no—
405C4×D4×C17—21no—
406C4×D4×C17—21no—
407C4×D4×C17—21no—
408C4×D4×C17—21no—
409C4×D4×C17—21no—
410C4×D4×C17—21no—
411C4×D4×C17—21no—
412C4×D4×C17—21no—
413C4×D4×C17C2311yescharacteristic
414C4×D4×C17C2311yescharacteristic
415C4×D4×C17C2311yescharacteristic
416C4×D4×C17C2311yescharacteristic
417C4×D4×C17C2311yescharacteristic
418C17×#117—21no—
419C17×#117—21no—
420C17×#117—21no—
421C17×#117C2311yescharacteristic
422C17×#117C2311yescharacteristic
423C17×#117C2311yescharacteristic
424C17×#117C2311yescharacteristic
425C2×C4⋊C4×C17—21no—
426C2×C4⋊C4×C17—21no—
427C2×C4⋊C4×C17C2311yescharacteristic
428C2×C4⋊C4×C17C2311yescharacteristic
429C2×C22⋊C4×C17—21no—
430C17×#107C2311yescharacteristic
431C17×#107C2311yescharacteristic
432C17×#107C2311yescharacteristic
433C17×#107C2311yescharacteristic
434C17×#106C2311yescharacteristic
435C17×#106C2311yescharacteristic
436C17×#106C2311yescharacteristic
437C17×#106C2311yescharacteristic
438C17×C4⋊C8C2311yescharacteristic
439C17×C4⋊C8C2311yescharacteristic
440C17×C4⋊C8C2311yescharacteristic
441C17×C4⋊C8C2311yescharacteristic
442C17×#103C2311yescharacteristic
443C17×#103C2311yescharacteristic
444C17×#103C2311yescharacteristic
445C17×#103C2311yescharacteristic
446C17×#103C2311yescharacteristic
447C17×#103C2311yescharacteristic
448C17×#103C2311yescharacteristic
449C17×#103C2311yescharacteristic
450C17×#103C2311yescharacteristic
451C17×#103C2311yescharacteristic
452C17×#103C2311yescharacteristic
453C17×#103C2311yescharacteristic
454C17×#103C2311yescharacteristic
455C17×#103C2311yescharacteristic
456C17×#103C2311yescharacteristic
457C17×#103C2311yescharacteristic
458C17×#103C2311yescharacteristic
459C17×#103C2311yescharacteristic
460C17×#102C2311yescharacteristic
461C17×#102C2311yescharacteristic
462C17×#102C2311yescharacteristic
463C17×#102C2311yescharacteristic
464C17×#102C2311yescharacteristic
465C17×#102C2311yescharacteristic
466C17×#102C2311yescharacteristic
467C17×#102C2311yescharacteristic
468C17×#102C2311yescharacteristic
469C17×#102C2311yescharacteristic
470C17×#102C2311yescharacteristic
471C17×#102C2311yescharacteristic
472C17×#102C2311yescharacteristic
473C17×#102C2311yescharacteristic
474C17×C22⋊C8C2311yescharacteristic
475C17×C22⋊C8C2311yescharacteristic
476C17×C22⋊C8C2311yescharacteristic
477C17×C22⋊C8C2311yescharacteristic
478C17×C22⋊C8C2311yescharacteristic
479C17×C22⋊C8C2311yescharacteristic
480C17×C22⋊C8C2311yescharacteristic
481C17×C22⋊C8C2311yescharacteristic
482C17×C22⋊C8C2311yescharacteristic
483C17×C22⋊C8C2311yescharacteristic
484C17×C22⋊C8C2311yescharacteristic
485C17×C22⋊C8C2311yescharacteristic
486C17×#97C2311yescharacteristic
487C17×#97C2311yescharacteristic
488C4×C8×C17C2311yescharacteristic
489C4×C8×C17C2311yescharacteristic
490C24×C17—21no—
491C24×C17C2×D411yescharacteristic
492#41×C17—22no—
493#41×C17—22no—
494#41×C17—22no—
495#41×C17—22no—
496#41×C17—22no—
497#41×C17—22no—
498#41×C17—41no—
499#41×C17—41no—
500#41×C17—41no—
501#41×C17—41no—
502#41×C17—41no—
503#41×C17—41no—
504#41×C17—41no—
505#41×C17—41no—
506#41×C17—41no—
507#41×C17—41no—
508#41×C17—44no—
509#41×C17—44no—
510#41×C17—41no—
511#41×C17—41no—
512#41×C17—41no—
513#41×C17—41no—
514#41×C17—44no—
515#41×C17—44no—
516#41×C17—44no—
517C2×Q8×C17—22no—
518C2×Q8×C17—22no—
519C2×Q8×C17—21no—
520C2×Q8×C17—21no—
521C2×Q8×C17—21no—
522C2×Q8×C17—21no—
523C2×Q8×C17—21no—
524C2×Q8×C17—21no—
525C2×Q8×C17—22no—
526C2×Q8×C17—22no—
527C2×Q8×C17—41no—
528C2×Q8×C17—41no—
529C2×Q8×C17—41no—
530C2×Q8×C17—41no—
531C2×Q8×C17—41no—
532C2×Q8×C17—41no—
533C2×Q8×C17—44no—
534C2×Q8×C17C2×D411yescharacteristic
535C2×Q8×C17C2411yescharacteristic
536C2×Q8×C17C2411yescharacteristic
537C2×Q8×C17C2411yescharacteristic
538C2×Q8×C17C2411yescharacteristic
539C2×Q8×C17C2411yescharacteristic
540C2×Q8×C17C2411yescharacteristic
541C2×D4×C17—21no—
542C2×D4×C17—21no—
543C2×D4×C17—21no—
544C2×D4×C17—21no—
545C2×D4×C17—21no—
546C2×D4×C17—21no—
547C2×D4×C17—21no—
548C2×D4×C17—21no—
549C2×D4×C17—21no—
550C2×D4×C17—21no—
551C2×D4×C17—21no—
552C2×D4×C17—21no—
553C2×D4×C17—21no—
554C2×D4×C17—21no—
555C2×D4×C17—21no—
556C2×D4×C17—21no—
557C2×D4×C17—21no—
558C2×D4×C17—21no—
559C2×D4×C17—21no—
560C2×D4×C17—21no—
561C2×D4×C17—21no—
562C2×D4×C17—21no—
563C2×D4×C17—21no—
564C2×D4×C17—41no—
565C2×D4×C17—41no—
566C2×D4×C17—44no—
567C2×D4×C17C2×D411yescharacteristic
568C2×D4×C17C2×D411yescharacteristic
569C2×D4×C17C2×D411yescharacteristic
570C2×D4×C17C2×D411yescharacteristic
571C2×D4×C17C2×D411yescharacteristic
572C2×D4×C17C2×D411yescharacteristic
573C2×D4×C17C2×D411yescharacteristic
574C2×D4×C17C2411yescharacteristic
575C2×D4×C17C2411yescharacteristic
576C2×D4×C17C2411yescharacteristic
577C2×D4×C17C2411yescharacteristic
578C22×C4×C17—21no—
579C22×C4×C17—21no—
580C22×C4×C17—21no—
581C22×C4×C17—21no—
582C22×C4×C17—21no—
583C22×C4×C17—21no—
584C22×C4×C17—21no—
585C22×C4×C17—21no—
586C22×C4×C17—21no—
587C22×C4×C17—21no—
588C22×C4×C17—21no—
589C22×C4×C17—21no—
590C22×C4×C17—21no—
591C22×C4×C17—21no—
592C22×C4×C17—21no—
593C22×C4×C17—21no—
594C22×C4×C17—21no—
595C22×C4×C17—41no—
596C22×C4×C17—41no—
597C22×C4×C17—44no—
598C22×C4×C17C2×D411yescharacteristic
599C22×C4×C17C2×D411yescharacteristic
600C22×C4×C17C2×D411yescharacteristic
601C22×C4×C17C2411yescharacteristic
602C22×C4×C17C2411yescharacteristic
603C22×C4×C17C2411yescharacteristic
604C22×C4×C17C2411yescharacteristic
605C22×C4×C17C2411yescharacteristic
606Q16×C17—22no—
607Q16×C17—22no—
608Q16×C17—22no—
609Q16×C17—22no—
610Q16×C17—22no—
611Q16×C17—22no—
612Q16×C17—41no—
613Q16×C17—41no—
614Q16×C17—41no—
615SD16×C17—22no—
616SD16×C17—22no—
617SD16×C17—41no—
618SD16×C17—41no—
619SD16×C17—41no—
620SD16×C17—41no—
621SD16×C17—41no—
622SD16×C17—41no—
623SD16×C17—41no—
624SD16×C17—41no—
625SD16×C17—41no—
626SD16×C17—41no—
627D8×C17—41no—
628D8×C17—41no—
629D8×C17—41no—
630M16×C17—41no—
631M16×C17—41no—
632M16×C17—41no—
633M16×C17—41no—
634C2×C8×C17—41no—
635C2×C8×C17—41no—
636C2×C8×C17—41no—
637C2×C8×C17—41no—
638C2×C8×C17C2411yescharacteristic
639C2×C8×C17C2411yescharacteristic
640C2×C8×C17C2411yescharacteristic
641C2×C8×C17C2411yescharacteristic
642C2×C8×C17C2411yescharacteristic
643C2×C8×C17C2411yescharacteristic
644C2×C8×C17C2411yescharacteristic
645C2×C8×C17C2411yescharacteristic
646C4⋊C4×C17—21no—
647C4⋊C4×C17—21no—
648C4⋊C4×C17—21no—
649C4⋊C4×C17—21no—
650C4⋊C4×C17—21no—
651C4⋊C4×C17—21no—
652C4⋊C4×C17—21no—
653C4⋊C4×C17—21no—
654C4⋊C4×C17—21no—
655C4⋊C4×C17—21no—
656C4⋊C4×C17—21no—
657C4⋊C4×C17—21no—
658C4⋊C4×C17—21no—
659C4⋊C4×C17—21no—
660C4⋊C4×C17—21no—
661C4⋊C4×C17—21no—
662C4⋊C4×C17—21no—
663C4⋊C4×C17—21no—
664C4⋊C4×C17—21no—
665C4⋊C4×C17—21no—
666C4⋊C4×C17—21no—
667C4⋊C4×C17—21no—
668C4⋊C4×C17—21no—
669C4⋊C4×C17—21no—
670C4⋊C4×C17—21no—
671C4⋊C4×C17C2×D411yescharacteristic
672C4⋊C4×C17C2×D411yescharacteristic
673C4⋊C4×C17C2×D411yescharacteristic
674C4⋊C4×C17C2×D411yescharacteristic
675C4⋊C4×C17C2×D411yescharacteristic
676C4⋊C4×C17C2×D411yescharacteristic
677C4⋊C4×C17C2411yescharacteristic
678C4⋊C4×C17C2411yescharacteristic
679C4⋊C4×C17C2411yescharacteristic
680C4⋊C4×C17C2411yescharacteristic
681C4⋊C4×C17C2411yescharacteristic
682C4⋊C4×C17C2411yescharacteristic
683C22⋊C4×C17—21no—
684C22⋊C4×C17—21no—
685C22⋊C4×C17—21no—
686C22⋊C4×C17—21no—
687C22⋊C4×C17—21no—
688C22⋊C4×C17—21no—
689C22⋊C4×C17—21no—
690C22⋊C4×C17—21no—
691C22⋊C4×C17—21no—
692C22⋊C4×C17—21no—
693C22⋊C4×C17—21no—
694C22⋊C4×C17—21no—
695C22⋊C4×C17—21no—
696C22⋊C4×C17—21no—
697C22⋊C4×C17—21no—
698C22⋊C4×C17—21no—
699C22⋊C4×C17—21no—
700C22⋊C4×C17—21no—
701C22⋊C4×C17—21no—
702C22⋊C4×C17—21no—
703C22⋊C4×C17—21no—
704C22⋊C4×C17—21no—
705C22⋊C4×C17—21no—
706C22⋊C4×C17—21no—
707C22⋊C4×C17—21no—
708C22⋊C4×C17—21no—
709C22⋊C4×C17—21no—
710C22⋊C4×C17—21no—
711C22⋊C4×C17—21no—
712C22⋊C4×C17—21no—
713C22⋊C4×C17C2×D411yescharacteristic
714C22⋊C4×C17C2×D411yescharacteristic
715C22⋊C4×C17C2×D411yescharacteristic
716C22⋊C4×C17C2×D411yescharacteristic
717C22⋊C4×C17C2×D411yescharacteristic
718C22⋊C4×C17C2×D411yescharacteristic
719C22⋊C4×C17C2×D411yescharacteristic
720C22⋊C4×C17C2×D411yescharacteristic
721C22⋊C4×C17C2×D411yescharacteristic
722C22⋊C4×C17C2×D411yescharacteristic
723C42×C17—21no—
724C42×C17—21no—
725C42×C17—21no—
726C42×C17—21no—
727C42×C17—21no—
728C42×C17—21no—
729C42×C17—21no—
730C42×C17—21no—
731C42×C17—21no—
732C42×C17—21no—
733C42×C17C2411yescharacteristic
734C42×C17C2411yescharacteristic
735#61615C1711yesmaximal, characteristic, direct product factor, Sylow
736C23×C17—21no—
737C23×C17—21no—
738C23×C17—21no—
739C23×C17—21no—
740C23×C17—41no—
741C23×C17—41no—
742C23×C17—41no—
743C23×C17—42no—
744C23×C17—81no—
745C23×C17—81no—
746C23×C17C22×D411yescharacteristic
747C23×C17C22×D411yescharacteristic
748C23×C17C22×D411yescharacteristic
749C23×C17C22×D411yescharacteristic
750C23×C17C22×D411yescharacteristic
751Q8×C17—24no—
752Q8×C17—21no—
753Q8×C17—21no—
754Q8×C17—21no—
755Q8×C17—21no—
756Q8×C17—21no—
757Q8×C17—21no—
758Q8×C17—21no—
759Q8×C17—21no—
760Q8×C17—21no—
761Q8×C17—21no—
762Q8×C17—41no—
763Q8×C17—42no—
764Q8×C17—42no—
765Q8×C17—81no—
766Q8×C17—81no—
767Q8×C17—81no—
768Q8×C17H(5,𝔽2)12yes—
769Q8×C17H(5,𝔽2)12yes—
770D4×C17—21no—
771D4×C17—21no—
772D4×C17—21no—
773D4×C17—21no—
774D4×C17—21no—
775D4×C17—21no—
776D4×C17—21no—
777D4×C17—21no—
778D4×C17—41no—
779D4×C17—41no—
780D4×C17—41no—
781D4×C17—41no—
782D4×C17—41no—
783D4×C17—41no—
784D4×C17—41no—
785D4×C17—42no—
786D4×C17—42no—
787D4×C17—42no—
788D4×C17—42no—
789D4×C17—42no—
790D4×C17—42no—
791D4×C17—42no—
792D4×C17—42no—
793D4×C17—42no—
794D4×C17—81no—
795D4×C17—81no—
796D4×C17—81no—
797D4×C17—81no—
798D4×C17—81no—
799D4×C17—81no—
800D4×C17—81no—
801D4×C17—81no—
802D4×C17—81no—
803D4×C17—81no—
804D4×C17—81no—
805D4×C17—81no—
806D4×C17—81no—
807D4×C17—81no—
808C2×C4×C17—24no—
809C2×C4×C17—21no—
810C2×C4×C17—21no—
811C2×C4×C17—21no—
812C2×C4×C17—21no—
813C2×C4×C17—21no—
814C2×C4×C17—21no—
815C2×C4×C17—21no—
816C2×C4×C17—21no—
817C2×C4×C17—21no—
818C2×C4×C17—21no—
819C2×C4×C17—21no—
820C2×C4×C17—21no—
821C2×C4×C17—21no—
822C2×C4×C17—21no—
823C2×C4×C17—21no—
824C2×C4×C17—21no—
825C2×C4×C17—21no—
826C2×C4×C17—21no—
827C2×C4×C17—21no—
828C2×C4×C17—21no—
829C2×C4×C17—21no—
830C2×C4×C17—21no—
831C2×C4×C17—41no—
832C2×C4×C17—41no—
833C2×C4×C17—41no—
834C2×C4×C17—42no—
835C2×C4×C17—42no—
836C2×C4×C17—42no—
837C2×C4×C17—42no—
838C2×C4×C17—42no—
839C2×C4×C17—42no—
840C2×C4×C17—42no—
841C2×C4×C17—42no—
842C2×C4×C17—42no—
843C2×C4×C17—81no—
844C2×C4×C17—81no—
845C2×C4×C17—81no—
846C2×C4×C17—81no—
847C2×C4×C17—81no—
848C2×C4×C17—81no—
849C2×C4×C17—81no—
850C2×C4×C17C22×D411yescharacteristic
851C2×C4×C17C22×D411yescharacteristic
852C2×C4×C17C22×D411yescharacteristic
853C2×C4×C17C22×D411yescharacteristic
854C2×C4×C17C22×D411yescharacteristic
855C2×C4×C17C22×D411yescharacteristic
856C2×C4×C17C22×D411yescharacteristic
857C2×C4×C17C22×D411yescharacteristic
858C2×C4×C17C22×D411yescharacteristic
859C2×C4×C17C2511yescharacteristic
860C8×C17—21no—
861C8×C17—21no—
862C8×C17—21no—
863C8×C17—21no—
864C8×C17—21no—
865C8×C17—21no—
866C8×C17—21no—
867C8×C17—21no—
868#3541C2×C1711yescharacteristic, complemented
869#3487C2×C1711yescharacteristic, complemented
870#3333C2×C1711yescharacteristic, complemented
871#3326C2×C1711yescharacteristic, complemented
872#3317C2×C1711yescharacteristic, complemented
873#3316C2×C1711yescharacteristic, complemented
874#3313C2×C1711yescharacteristic, complemented
875#3309C2×C1711yescharacteristic, complemented
876#3304C2×C1711yescharacteristic, complemented
877#3300C2×C1711yescharacteristic, complemented
878#3285C2×C1711yescharacteristic, complemented
879#3284C2×C1711yescharacteristic, complemented
880#3278C2×C1711yescharacteristic, complemented
881#3277C2×C1711yescharacteristic, complemented
882#3271C2×C1711yescharacteristic, complemented
883#3271C2×C1711yescharacteristic, complemented
884#3270C2×C1711yescharacteristic, complemented
885#3269C2×C1711yescharacteristic, complemented
886#3224C2×C1711yescharacteristic, complemented
887#3222C2×C1711yescharacteristic, complemented
888#3200C2×C1711yescharacteristic, complemented
889#3198C2×C1711yescharacteristic, complemented
890#3197C2×C1711yescharacteristic, complemented
891#3190C2×C1711yescharacteristic, complemented
892#3127C2×C1711yescharacteristic, complemented
893#3121C2×C1711yescharacteristic, complemented
894#3013C2×C1711yescharacteristic, complemented
895#3011C2×C1711yescharacteristic, complemented
896#3007C2×C1711yescharacteristic, complemented
897#3002C2×C1711yescharacteristic, complemented
898#2976C2×C1711yescharacteristic, complemented
899C22×C17—21no—
900C22×C17—21no—
901C22×C17—21no—
902C22×C17—21no—
903C22×C17—21no—
904C22×C17—21no—
905C22×C17—21no—
906C22×C17—21no—
907C22×C17—21no—
908C22×C17—21no—
909C22×C17—21no—
910C22×C17—21no—
911C22×C17—21no—
912C22×C17—21no—
913C22×C17—21no—
914C22×C17—41no—
915C22×C17—41no—
916C22×C17—41no—
917C22×C17—41no—
918C22×C17—41no—
919C22×C17—41no—
920C22×C17—41no—
921C22×C17—41no—
922C22×C17—41no—
923C22×C17—41no—
924C22×C17—41no—
925C22×C17—41no—
926C22×C17—82no—
927C22×C17—84no—
928C22×C17C23×D411yescharacteristic
929C4×C17—21no—
930C4×C17—21no—
931C4×C17—21no—
932C4×C17—21no—
933C4×C17—22no—
934C4×C17—22no—
935C4×C17—21no—
936C4×C17—21no—
937C4×C17—21no—
938C4×C17—21no—
939C4×C17—21no—
940C4×C17—41no—
941C4×C17—41no—
942C4×C17—41no—
943C4×C17—41no—
944C4×C17—41no—
945C4×C17—41no—
946C4×C17—41no—
947C4×C17—41no—
948C4×C17—41no—
949C4×C17—41no—
950C4×C17C2×H(5,𝔽2)11yescharacteristic
951C4×C17C2×H(5,𝔽2)11yescharacteristic
952C2×2−1+4C22×C1711yescharacteristic
953C22×#41C22×C1711yescharacteristic
954C2×#137C22×C1711yescharacteristic
955C2×#137C22×C1711yescharacteristic
956C2×#137C22×C1711yescharacteristic, complemented
957C2×#137C22×C1711yescharacteristic, complemented
958C2×#135C22×C1711yescharacteristic
959C2×#135C22×C1711yescharacteristic
960C2×#135C22×C1711yescharacteristic, complemented
961C22×Q16C22×C1711yescharacteristic, complemented
962#563—21no—
963#562—21no—
964#556C22×C1711yescharacteristic, complemented
965#554—21no—
966#554C22×C1711yescharacteristic, complemented
967#553—21no—
968#553C22×C1711yescharacteristic, complemented
969#552C22×C1711yescharacteristic, complemented
970#550—21no—
971#550—21no—
972#550C22×C1711yescharacteristic
973#550C22×C1711yescharacteristic
974#550C22×C1711yescharacteristic
975#550C22×C1711yescharacteristic
976D4×Q8C22×C1711yescharacteristic, complemented
977#548—21no—
978#548—21no—
979#548C22×C1711yescharacteristic
980#548C22×C1711yescharacteristic
981#548C22×C1711yescharacteristic
982#548C22×C1711yescharacteristic
983#548C22×C1711yescharacteristic, complemented
984#548C22×C1711yescharacteristic, complemented
985#547C22×C1711yescharacteristic, complemented
986#542—21no—
987#542C22×C1711yescharacteristic
988#541C22×C1711yescharacteristic
989#539—21no—
990#538—21no—
991#538—21no—
992#537C22×C1711yescharacteristic
993#536C22×C1711yescharacteristic
994#535—21no—
995#535—21no—
996#535C22×C1711yescharacteristic
997#535C22×C1711yescharacteristic
998#525—21no—
999#525—21no—
1000#525C22×C1711yescharacteristic
1001#525C22×C1711yescharacteristic
1002#525C22×C1711yescharacteristic
1003C2×C22⋊Q8C22×C1711yescharacteristic
1004#519C22×C1711yescharacteristic
1005#497C22×C1711yescharacteristic, complemented
1006#496C22×C1711yescharacteristic, complemented
1007#495C22×C1711yescharacteristic, complemented
1008#492C22×C1711yescharacteristic, complemented
1009#490C22×C1711yescharacteristic, complemented
1010#489C22×C1711yescharacteristic, complemented
1011#488C22×C1711yescharacteristic, complemented
1012#486C22×C1711yescharacteristic, complemented
1013#485C22×C1711yescharacteristic
1014#485C22×C1711yescharacteristic
1015#485C22×C1711yescharacteristic
1016#485C22×C1711yescharacteristic, complemented
1017#483C22×C1711yescharacteristic, complemented
1018#482C22×C1711yescharacteristic
1019#482C22×C1711yescharacteristic, complemented
1020#482C22×C1711yescharacteristic, complemented
1021#482C22×C1711yescharacteristic, complemented
1022#481C22×C1711yescharacteristic, complemented
1023#480C22×C1711yescharacteristic, complemented
1024#480C22×C1711yescharacteristic, complemented
1025#479C22×C1711yescharacteristic, complemented
1026#479C22×C1711yescharacteristic, complemented
1027#477C22×C1711yescharacteristic, complemented
1028#475C22×C1711yescharacteristic, complemented
1029#470C22×C1711yescharacteristic, complemented
1030#469C22×C1711yescharacteristic, complemented
1031#469C22×C1711yescharacteristic, complemented
1032#468C22×C1711yescharacteristic, complemented
1033#468C22×C1711yescharacteristic, complemented
1034#468C22×C1711yescharacteristic, complemented
1035#468C22×C1711yescharacteristic, complemented
1036#468C22×C1711yescharacteristic, complemented
1037#467C22×C1711yescharacteristic, complemented
1038#467C22×C1711yescharacteristic, complemented
1039#466C22×C1711yescharacteristic, complemented
1040#465C22×C1711yescharacteristic, complemented
1041#465C22×C1711yescharacteristic, complemented
1042#465C22×C1711yescharacteristic, complemented
1043#465C22×C1711yescharacteristic, complemented
1044#465C22×C1711yescharacteristic, complemented
1045#464C22×C1711yescharacteristic, complemented
1046#464C22×C1711yescharacteristic, complemented
1047#464C22×C1711yescharacteristic, complemented
1048#464C22×C1711yescharacteristic, complemented
1049#464C22×C1711yescharacteristic, complemented
1050#463C22×C1711yescharacteristic, complemented
1051#462C22×C1711yescharacteristic, complemented
1052#462C22×C1711yescharacteristic, complemented
1053#460C22×C1711yescharacteristic, complemented
1054#460C22×C1711yescharacteristic, complemented
1055#460C22×C1711yescharacteristic, complemented
1056#459C22×C1711yescharacteristic, complemented
1057#452C22×C1711yescharacteristic
1058#452C22×C1711yescharacteristic
1059#452C22×C1711yescharacteristic
1060#452C22×C1711yescharacteristic
1061#452C22×C1711yescharacteristic
1062#452C22×C1711yescharacteristic
1063#452C22×C1711yescharacteristic
1064#452C22×C1711yescharacteristic
1065#452C22×C1711yescharacteristic
1066#452C22×C1711yescharacteristic, complemented
1067#452C22×C1711yescharacteristic, complemented
1068#452C22×C1711yescharacteristic, complemented
1069#452C22×C1711yescharacteristic, complemented
1070#451C22×C1711yescharacteristic
1071#451C22×C1711yescharacteristic
1072#451C22×C1711yescharacteristic
1073#451C22×C1711yescharacteristic, complemented
1074#451C22×C1711yescharacteristic, complemented
1075#451C22×C1711yescharacteristic, complemented
1076#451C22×C1711yescharacteristic, complemented
1077#450C22×C1711yescharacteristic
1078#450C22×C1711yescharacteristic
1079#450C22×C1711yescharacteristic
1080#449C22×C1711yescharacteristic
1081#449C22×C1711yescharacteristic
1082#449C22×C1711yescharacteristic
1083#449C22×C1711yescharacteristic, complemented
1084#449C22×C1711yescharacteristic, complemented
1085#449C22×C1711yescharacteristic, complemented
1086#449C22×C1711yescharacteristic, complemented
1087#448C22×C1711yescharacteristic
1088#448C22×C1711yescharacteristic, complemented
1089#448C22×C1711yescharacteristic, complemented
1090#448C22×C1711yescharacteristic, complemented
1091#448C22×C1711yescharacteristic, complemented
1092#447C22×C1711yescharacteristic
1093#441C22×C1711yescharacteristic, complemented
1094#441C22×C1711yescharacteristic, complemented
1095#441C22×C1711yescharacteristic, complemented
1096#440C22×C1711yescharacteristic, complemented
1097C4×Q16C22×C1711yescharacteristic, complemented
1098C4×Q16C22×C1711yescharacteristic, complemented
1099C4×Q16C22×C1711yescharacteristic, complemented
1100C4×SD16C22×C1711yescharacteristic, complemented
1101#436C22×C1711yescharacteristic, complemented
1102#436C22×C1711yescharacteristic, complemented
1103#435C22×C1711yescharacteristic, complemented
1104#435C22×C1711yescharacteristic, complemented
1105#435C22×C1711yescharacteristic, complemented
1106#435C22×C1711yescharacteristic, complemented
1107C8×D4C22×C1711yescharacteristic, complemented
1108C8×D4C22×C1711yescharacteristic, complemented
1109#433C22×C1711yescharacteristic
1110#433C22×C1711yescharacteristic
1111#419C22×C1711yescharacteristic, complemented
1112#417C22×C1711yescharacteristic
1113#417C22×C1711yescharacteristic
1114#417C22×C1711yescharacteristic, complemented
1115#416C22×C1711yescharacteristic
1116#416C22×C1711yescharacteristic
1117#416C22×C1711yescharacteristic, complemented
1118C2×#103C22×C1711yescharacteristic, complemented
1119#408C22×C1711yescharacteristic
1120#408C22×C1711yescharacteristic
1121#407C22×C1711yescharacteristic
1122C2×C22⋊C8C22×C1711yescharacteristic
1123C2×C17—41no—
1124C2×C17—41no—
1125C2×C17—41no—
1126C2×C17—41no—
1127C2×C17—41no—
1128C2×C17—81no—
1129C2×C17—81no—
1130C2×C17—81no—
1131C2×C17—81no—
1132C2×C17#348411yescharacteristic
1133C2×C17#358411yescharacteristic
1134C2×C17#358611yescharacteristic
11352−1+4—42no—
11362−1+4—42no—
1137C2×#41—21no—
1138C2×#41—21no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—42no—
1143C2×#41—42no—
1144C2×#41C23×C1711yescharacteristic
1145C2×#41C23×C1711yescharacteristic
1146C2×#41C23×C1711yescharacteristic
1147C2×#41C23×C1711yescharacteristic
1148C2×#41C23×C1711yescharacteristic
1149C2×#41C23×C1711yescharacteristic
1150C2×#41C23×C1711yescharacteristic
1151C2×#41C23×C1711yescharacteristic
1152C2×#41C23×C1711yescharacteristic
1153C2×#41C23×C1711yescharacteristic
1154C22×Q8—21no—
1155C22×Q8C23×C1711yescharacteristic
1156C22×Q8C23×C1711yescharacteristic
1157C22×Q8C23×C1711yescharacteristic
1158C22×Q8C23×C1711yescharacteristic
1159C22×Q8C23×C1711yescharacteristic
1160C22×D4—21no—
1161C22×D4C23×C1711yescharacteristic
1162C23×C4—21no—
1163C23×C4C23×C1711yescharacteristic
1164#137—42no—
1165#137—42no—
1166#137—42no—
1167#137—42no—
1168#135—42no—
1169#135—42no—
1170#135—42no—
1171C2×Q16—42no—
1172C2×Q16C23×C1711yescharacteristic
1173C2×Q16C23×C1711yescharacteristic
1174C2×Q16C23×C1711yescharacteristic
1175C2×Q16C23×C1711yescharacteristic
1176C2×Q16C23×C1711yescharacteristic
1177C2×Q16C23×C1711yescharacteristic
1178C2×Q16C23×C1711yescharacteristic
1179C2×Q16C23×C1711yescharacteristic
1180C2×Q16C23×C1711yescharacteristic
1181C2×SD16C23×C1711yescharacteristic
1182C2×SD16C23×C1711yescharacteristic
1183C2×SD16C23×C1711yescharacteristic
1184C2×SD16C23×C1711yescharacteristic
1185C2×SD16C23×C1711yescharacteristic
1186C2×SD16C23×C1711yescharacteristic
1187C2×SD16C23×C1711yescharacteristic
1188C2×SD16C23×C1711yescharacteristic
1189C2×SD16C23×C1711yescharacteristic
1190C2×SD16C23×C1711yescharacteristic
1191C2×SD16C23×C1711yescharacteristic
1192C2×SD16C23×C1711yescharacteristic
1193C2×D8C23×C1711yescharacteristic
1194C2×D8C23×C1711yescharacteristic
1195C2×D8C23×C1711yescharacteristic
1196C2×M16C23×C1711yescharacteristic
1197C2×M16C23×C1711yescharacteristic
1198C2×M16C23×C1711yescharacteristic
1199C2×M16C23×C1711yescharacteristic
1200C22×C8C23×C1711yescharacteristic
1201C22×C8C23×C1711yescharacteristic
1202C22×C8C23×C1711yescharacteristic
1203C22×C8C23×C1711yescharacteristic
1204C4⋊Q8—21no—
1205C4⋊Q8—21no—
1206C4⋊Q8C23×C1711yescharacteristic
1207C4⋊Q8C23×C1711yescharacteristic
1208#127—21no—
1209#127—21no—
1210#127—21no—
1211#127—21no—
1212#127—21no—
1213#127C23×C1711yescharacteristic
1214#127C23×C1711yescharacteristic
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#126—21no—
1221#126—21no—
1222#125—21no—
1223#125—21no—
1224#125—21no—
1225#125—21no—
1226#125C23×C1711yescharacteristic
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124C23×C1711yescharacteristic
1238#124C23×C1711yescharacteristic
1239#124C23×C1711yescharacteristic
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123D4×C1711yescharacteristic
1250#123D4×C1711yescharacteristic
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8D4×C1711yescharacteristic
1266C22⋊Q8D4×C1711yescharacteristic
1267C22⋊Q8C23×C1711yescharacteristic
1268C22⋊Q8C23×C1711yescharacteristic
1269C22⋊Q8C23×C1711yescharacteristic
1270C22⋊Q8C23×C1711yescharacteristic
1271C22⋊Q8C23×C1711yescharacteristic
1272C22⋊Q8C23×C1711yescharacteristic
1273C22⋊Q8C23×C1711yescharacteristic
1274C22⋊Q8C23×C1711yescharacteristic
1275C22⋊Q8C23×C1711yescharacteristic
1276C22⋊Q8C23×C1711yescharacteristic
1277C22⋊Q8C23×C1711yescharacteristic
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121D4×C1711yescharacteristic
1300#121D4×C1711yescharacteristic
1301#121C23×C1711yescharacteristic
1302#121C23×C1711yescharacteristic
1303#121C23×C1711yescharacteristic
1304#121C23×C1711yescharacteristic
1305#121C23×C1711yescharacteristic
1306#121C23×C1711yescharacteristic
1307#121C23×C1711yescharacteristic
1308#121C23×C1711yescharacteristic
1309#121C23×C1711yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120D4×C1711yescharacteristic
1317#120D4×C1711yescharacteristic
1318C4×Q8—21no—
1319C4×Q8—21no—
1320C4×Q8—21no—
1321C4×Q8C23×C1711yescharacteristic
1322C4×Q8C23×C1711yescharacteristic
1323C4×Q8C23×C1711yescharacteristic
1324C4×Q8C23×C1711yescharacteristic
1325C4×Q8C23×C1711yescharacteristic
1326C4×Q8C23×C1711yescharacteristic
1327C4×Q8C23×C1711yescharacteristic
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4C23×C1711yescharacteristic
1346C4×D4C23×C1711yescharacteristic
1347C4×D4C23×C1711yescharacteristic
1348C4×D4C23×C1711yescharacteristic
1349C4×D4C23×C1711yescharacteristic
1350#117—21no—
1351#117—21no—
1352#117—21no—
1353#117C23×C1711yescharacteristic
1354#117C23×C1711yescharacteristic
1355#117C23×C1711yescharacteristic
1356#117C23×C1711yescharacteristic
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4—21no—
1359C2×C4⋊C4C23×C1711yescharacteristic
1360C2×C4⋊C4C23×C1711yescharacteristic
1361C2×C22⋊C4—21no—
1362#107C23×C1711yescharacteristic
1363#107C23×C1711yescharacteristic
1364#107C23×C1711yescharacteristic
1365#107C23×C1711yescharacteristic
1366#106C23×C1711yescharacteristic
1367#106C23×C1711yescharacteristic
1368#106C23×C1711yescharacteristic
1369#106C23×C1711yescharacteristic
1370C4⋊C8C23×C1711yescharacteristic
1371C4⋊C8C23×C1711yescharacteristic
1372C4⋊C8C23×C1711yescharacteristic
1373C4⋊C8C23×C1711yescharacteristic
1374#103C23×C1711yescharacteristic
1375#103C23×C1711yescharacteristic
1376#103C23×C1711yescharacteristic
1377#103C23×C1711yescharacteristic
1378#103C23×C1711yescharacteristic
1379#103C23×C1711yescharacteristic
1380#103C23×C1711yescharacteristic
1381#103C23×C1711yescharacteristic
1382#103C23×C1711yescharacteristic
1383#103C23×C1711yescharacteristic
1384#103C23×C1711yescharacteristic
1385#103C23×C1711yescharacteristic
1386#103C23×C1711yescharacteristic
1387#103C23×C1711yescharacteristic
1388#103C23×C1711yescharacteristic
1389#103C23×C1711yescharacteristic
1390#103C23×C1711yescharacteristic
1391#103C23×C1711yescharacteristic
1392#102C23×C1711yescharacteristic
1393#102C23×C1711yescharacteristic
1394#102C23×C1711yescharacteristic
1395#102C23×C1711yescharacteristic
1396#102C23×C1711yescharacteristic
1397#102C23×C1711yescharacteristic
1398#102C23×C1711yescharacteristic
1399#102C23×C1711yescharacteristic
1400#102C23×C1711yescharacteristic
1401#102C23×C1711yescharacteristic
1402#102C23×C1711yescharacteristic
1403#102C23×C1711yescharacteristic
1404#102C23×C1711yescharacteristic
1405#102C23×C1711yescharacteristic
1406C22⋊C8C23×C1711yescharacteristic
1407C22⋊C8C23×C1711yescharacteristic
1408C22⋊C8C23×C1711yescharacteristic
1409C22⋊C8C23×C1711yescharacteristic
1410C22⋊C8C23×C1711yescharacteristic
1411C22⋊C8C23×C1711yescharacteristic
1412C22⋊C8C23×C1711yescharacteristic
1413C22⋊C8C23×C1711yescharacteristic
1414C22⋊C8C23×C1711yescharacteristic
1415C22⋊C8C23×C1711yescharacteristic
1416C22⋊C8C23×C1711yescharacteristic
1417C22⋊C8C23×C1711yescharacteristic
1418#97C23×C1711yescharacteristic
1419#97C23×C1711yescharacteristic
1420C4×C8C23×C1711yescharacteristic
1421C4×C8C23×C1711yescharacteristic
1422C17#6161511yescharacteristic, direct product factor, Sylow
1423C24—21no—
1424C24C2×D4×C1711yescharacteristic
1425#41—22no—
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449#41—44no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8—44no—
1467C2×Q8C2×D4×C1711yescharacteristic
1468C2×Q8C24×C1711yescharacteristic
1469C2×Q8C24×C1711yescharacteristic
1470C2×Q8C24×C1711yescharacteristic
1471C2×Q8C24×C1711yescharacteristic
1472C2×Q8C24×C1711yescharacteristic
1473C2×Q8C24×C1711yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—41no—
1498C2×D4—41no—
1499C2×D4—44no—
1500C2×D4C2×D4×C1711yescharacteristic
1501C2×D4C2×D4×C1711yescharacteristic
1502C2×D4C2×D4×C1711yescharacteristic
1503C2×D4C2×D4×C1711yescharacteristic
1504C2×D4C2×D4×C1711yescharacteristic
1505C2×D4C2×D4×C1711yescharacteristic
1506C2×D4C2×D4×C1711yescharacteristic
1507C2×D4C24×C1711yescharacteristic
1508C2×D4C24×C1711yescharacteristic
1509C2×D4C24×C1711yescharacteristic
1510C2×D4C24×C1711yescharacteristic
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—44no—
1531C22×C4C2×D4×C1711yescharacteristic
1532C22×C4C2×D4×C1711yescharacteristic
1533C22×C4C2×D4×C1711yescharacteristic
1534C22×C4C24×C1711yescharacteristic
1535C22×C4C24×C1711yescharacteristic
1536C22×C4C24×C1711yescharacteristic
1537C22×C4C24×C1711yescharacteristic
1538C22×C4C24×C1711yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—22no—
1542Q16—22no—
1543Q16—22no—
1544Q16—22no—
1545Q16—41no—
1546Q16—41no—
1547Q16—41no—
1548SD16—22no—
1549SD16—22no—
1550SD16—41no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560D8—41no—
1561D8—41no—
1562D8—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566M16—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8—41no—
1571C2×C8C24×C1711yescharacteristic
1572C2×C8C24×C1711yescharacteristic
1573C2×C8C24×C1711yescharacteristic
1574C2×C8C24×C1711yescharacteristic
1575C2×C8C24×C1711yescharacteristic
1576C2×C8C24×C1711yescharacteristic
1577C2×C8C24×C1711yescharacteristic
1578C2×C8C24×C1711yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4C2×D4×C1711yescharacteristic
1605C4⋊C4C2×D4×C1711yescharacteristic
1606C4⋊C4C2×D4×C1711yescharacteristic
1607C4⋊C4C2×D4×C1711yescharacteristic
1608C4⋊C4C2×D4×C1711yescharacteristic
1609C4⋊C4C2×D4×C1711yescharacteristic
1610C4⋊C4C24×C1711yescharacteristic
1611C4⋊C4C24×C1711yescharacteristic
1612C4⋊C4C24×C1711yescharacteristic
1613C4⋊C4C24×C1711yescharacteristic
1614C4⋊C4C24×C1711yescharacteristic
1615C4⋊C4C24×C1711yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4C2×D4×C1711yescharacteristic
1647C22⋊C4C2×D4×C1711yescharacteristic
1648C22⋊C4C2×D4×C1711yescharacteristic
1649C22⋊C4C2×D4×C1711yescharacteristic
1650C22⋊C4C2×D4×C1711yescharacteristic
1651C22⋊C4C2×D4×C1711yescharacteristic
1652C22⋊C4C2×D4×C1711yescharacteristic
1653C22⋊C4C2×D4×C1711yescharacteristic
1654C22⋊C4C2×D4×C1711yescharacteristic
1655C22⋊C4C2×D4×C1711yescharacteristic
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42C24×C1711yescharacteristic
1667C42C24×C1711yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—42no—
1676C23—81no—
1677C23—81no—
1678C23C22×D4×C1711yescharacteristic
1679C23C22×D4×C1711yescharacteristic
1680C23C22×D4×C1711yescharacteristic
1681C23C22×D4×C1711yescharacteristic
1682C23C22×D4×C1711yescharacteristic
1683Q8—24no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—41no—
1695Q8—42no—
1696Q8—42no—
1697Q8—81no—
1698Q8—81no—
1699Q8—81no—
1700Q8C17×H(5,𝔽2)12yes—
1701Q8C17×H(5,𝔽2)12yes—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4C22×D4×C1711yescharacteristic
1783C2×C4C22×D4×C1711yescharacteristic
1784C2×C4C22×D4×C1711yescharacteristic
1785C2×C4C22×D4×C1711yescharacteristic
1786C2×C4C22×D4×C1711yescharacteristic
1787C2×C4C22×D4×C1711yescharacteristic
1788C2×C4C22×D4×C1711yescharacteristic
1789C2×C4C22×D4×C1711yescharacteristic
1790C2×C4C22×D4×C1711yescharacteristic
1791C2×C4C25×C1711yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—82no—
1828C22—84no—
1829C22C23×D4×C1711yescharacteristic
1830C4—22no—
1831C4—22no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4C2×C17×H(5,𝔽2)11yescharacteristic
1852C4C2×C17×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—81no—
1862C2C17×#348411yescharacteristic
1863C2C17×#358411yescharacteristic
1864C2C17×#358611yescharacteristic
subgroupG/H
center, socleC22×C17C23×D4
commutator, Frattini, cosocleC2×C4C25×C17
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C17 ◁ C17×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#3541C2semidirect
2. C17×#3487C2semidirect
3. C17×#3333C2semidirect
4. C17×#3326C2semidirect
5. C17×#3317C2semidirect
6. C17×#3316C2semidirect
7. C17×#3313C2semidirect
8. C17×#3309C2semidirect
9. C17×#3304C2semidirect
10. C17×#3300C2semidirect
11. C17×#3285C2semidirect
12. C17×#3284C2semidirect
13. C17×#3278C2semidirect
14. C17×#3277C2semidirect
15. C17×#3271C2semidirect
16. C17×#3271C2semidirect
17. C17×#3270C2semidirect
18. C17×#3269C2semidirect
19. C17×#3224C2semidirect
20. C17×#3222C2semidirect
21. C17×#3200C2semidirect
22. C17×#3198C2semidirect
23. C17×#3197C2semidirect
24. C17×#3190C2semidirect
25. C17×#3127C2semidirect
26. C17×#3121C2semidirect
27. C17×#3013C2semidirect
28. C17×#3011C2semidirect
29. C17×#3007C2semidirect
30. C17×#3002C2semidirect
31. C17×#2976C2semidirect
36. C2×C17×#137C22semidirect
37. C2×C17×#137C22semidirect
40. C2×C17×#135C22semidirect
41. C22×Q16×C17C22semidirect
44. C17×#556C22semidirect
46. C17×#554C22semidirect
48. C17×#553C22semidirect
49. C17×#552C22semidirect
56. D4×Q8×C17C22semidirect
63. C17×#548C22semidirect
64. C17×#548C22semidirect
65. C17×#547C22semidirect
85. C17×#497C22semidirect
86. C17×#496C22semidirect
87. C17×#495C22semidirect
88. C17×#492C22semidirect
89. C17×#490C22semidirect
90. C17×#489C22semidirect
91. C17×#488C22semidirect
92. C17×#486C22semidirect
96. C17×#485C22semidirect
97. C17×#483C22semidirect
99. C17×#482C22semidirect
100. C17×#482C22semidirect
101. C17×#482C22semidirect
102. C17×#481C22semidirect
103. C17×#480C22semidirect
104. C17×#480C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
107. C17×#477C22semidirect
108. C17×#475C22semidirect
109. C17×#470C22semidirect
110. C17×#469C22semidirect
111. C17×#469C22semidirect
112. C17×#468C22semidirect
113. C17×#468C22semidirect
114. C17×#468C22semidirect
115. C17×#468C22semidirect
116. C17×#468C22semidirect
117. C17×#467C22semidirect
118. C17×#467C22semidirect
119. C17×#466C22semidirect
120. C17×#465C22semidirect
121. C17×#465C22semidirect
122. C17×#465C22semidirect
123. C17×#465C22semidirect
124. C17×#465C22semidirect
125. C17×#464C22semidirect
126. C17×#464C22semidirect
127. C17×#464C22semidirect
128. C17×#464C22semidirect
129. C17×#464C22semidirect
130. C17×#463C22semidirect
131. C17×#462C22semidirect
132. C17×#462C22semidirect
133. C17×#460C22semidirect
134. C17×#460C22semidirect
135. C17×#460C22semidirect
136. C17×#459C22semidirect
146. C17×#452C22semidirect
147. C17×#452C22semidirect
148. C17×#452C22semidirect
149. C17×#452C22semidirect
153. C17×#451C22semidirect
154. C17×#451C22semidirect
155. C17×#451C22semidirect
156. C17×#451C22semidirect
163. C17×#449C22semidirect
164. C17×#449C22semidirect
165. C17×#449C22semidirect
166. C17×#449C22semidirect
168. C17×#448C22semidirect
169. C17×#448C22semidirect
170. C17×#448C22semidirect
171. C17×#448C22semidirect
173. C17×#441C22semidirect
174. C17×#441C22semidirect
175. C17×#441C22semidirect
176. C17×#440C22semidirect
177. C4×Q16×C17C22semidirect
178. C4×Q16×C17C22semidirect
179. C4×Q16×C17C22semidirect
180. C4×SD16×C17C22semidirect
181. C17×#436C22semidirect
182. C17×#436C22semidirect
183. C17×#435C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
186. C17×#435C22semidirect
187. C8×D4×C17C22semidirect
188. C8×D4×C17C22semidirect
191. C17×#419C22semidirect
194. C17×#417C22semidirect
197. C17×#416C22semidirect
198. C2×C17×#103C22semidirect
735. #61615C17direct (N × H)
868. #3541C2×C17semidirect
869. #3487C2×C17semidirect
870. #3333C2×C17semidirect
871. #3326C2×C17semidirect
872. #3317C2×C17semidirect
873. #3316C2×C17semidirect
874. #3313C2×C17semidirect
875. #3309C2×C17semidirect
876. #3304C2×C17semidirect
877. #3300C2×C17semidirect
878. #3285C2×C17semidirect
879. #3284C2×C17semidirect
880. #3278C2×C17semidirect
881. #3277C2×C17semidirect
882. #3271C2×C17semidirect
883. #3271C2×C17semidirect
884. #3270C2×C17semidirect
885. #3269C2×C17semidirect
886. #3224C2×C17semidirect
887. #3222C2×C17semidirect
888. #3200C2×C17semidirect
889. #3198C2×C17semidirect
890. #3197C2×C17semidirect
891. #3190C2×C17semidirect
892. #3127C2×C17semidirect
893. #3121C2×C17semidirect
894. #3013C2×C17semidirect
895. #3011C2×C17semidirect
896. #3007C2×C17semidirect
897. #3002C2×C17semidirect
898. #2976C2×C17semidirect
956. C2×#137C22×C17semidirect
957. C2×#137C22×C17semidirect
960. C2×#135C22×C17semidirect
961. C22×Q16C22×C17semidirect
964. #556C22×C17semidirect
966. #554C22×C17semidirect
968. #553C22×C17semidirect
969. #552C22×C17semidirect
976. D4×Q8C22×C17semidirect
983. #548C22×C17semidirect
984. #548C22×C17semidirect
985. #547C22×C17semidirect
1005. #497C22×C17semidirect
1006. #496C22×C17semidirect
1007. #495C22×C17semidirect
1008. #492C22×C17semidirect
1009. #490C22×C17semidirect
1010. #489C22×C17semidirect
1011. #488C22×C17semidirect
1012. #486C22×C17semidirect
1016. #485C22×C17semidirect
1017. #483C22×C17semidirect
1019. #482C22×C17semidirect
1020. #482C22×C17semidirect
1021. #482C22×C17semidirect
1022. #481C22×C17semidirect
1023. #480C22×C17semidirect
1024. #480C22×C17semidirect
1025. #479C22×C17semidirect
1026. #479C22×C17semidirect
1027. #477C22×C17semidirect
1028. #475C22×C17semidirect
1029. #470C22×C17semidirect
1030. #469C22×C17semidirect
1031. #469C22×C17semidirect
1032. #468C22×C17semidirect
1033. #468C22×C17semidirect
1034. #468C22×C17semidirect
1035. #468C22×C17semidirect
1036. #468C22×C17semidirect
1037. #467C22×C17semidirect
1038. #467C22×C17semidirect
1039. #466C22×C17semidirect
1040. #465C22×C17semidirect
1041. #465C22×C17semidirect
1042. #465C22×C17semidirect
1043. #465C22×C17semidirect
1044. #465C22×C17semidirect
1045. #464C22×C17semidirect
1046. #464C22×C17semidirect
1047. #464C22×C17semidirect
1048. #464C22×C17semidirect
1049. #464C22×C17semidirect
1050. #463C22×C17semidirect
1051. #462C22×C17semidirect
1052. #462C22×C17semidirect
1053. #460C22×C17semidirect
1054. #460C22×C17semidirect
1055. #460C22×C17semidirect
1056. #459C22×C17semidirect
1066. #452C22×C17semidirect
1067. #452C22×C17semidirect
1068. #452C22×C17semidirect
1069. #452C22×C17semidirect
1073. #451C22×C17semidirect
1074. #451C22×C17semidirect
1075. #451C22×C17semidirect
1076. #451C22×C17semidirect
1083. #449C22×C17semidirect
1084. #449C22×C17semidirect
1085. #449C22×C17semidirect
1086. #449C22×C17semidirect
1088. #448C22×C17semidirect
1089. #448C22×C17semidirect
1090. #448C22×C17semidirect
1091. #448C22×C17semidirect
1093. #441C22×C17semidirect
1094. #441C22×C17semidirect
1095. #441C22×C17semidirect
1096. #440C22×C17semidirect
1097. C4×Q16C22×C17semidirect
1098. C4×Q16C22×C17semidirect
1099. C4×Q16C22×C17semidirect
1100. C4×SD16C22×C17semidirect
1101. #436C22×C17semidirect
1102. #436C22×C17semidirect
1103. #435C22×C17semidirect
1104. #435C22×C17semidirect
1105. #435C22×C17semidirect
1106. #435C22×C17semidirect
1107. C8×D4C22×C17semidirect
1108. C8×D4C22×C17semidirect
1111. #419C22×C17semidirect
1114. #417C22×C17semidirect
1117. #416C22×C17semidirect
1118. C2×#103C22×C17semidirect
1422. C17#61615direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#35412
C17×#34872
C17×#33332
C17×#33262
C17×#33172
C17×#33162
C17×#33132
C17×#33092
C17×#33042
C17×#33002
C17×#32852
C17×#32842
C17×#32782
C17×#32772
C17×#32712
C17×#32702
C17×#32692
C17×#32242
C17×#32222
C17×#32002
C17×#31982
C17×#31972
C17×#31902
C17×#31272
C17×#31212
C17×#30132
C17×#30112
C17×#30072
C17×#30022
C17×#29762
#6161517