Finite Group Databasebeta

← C17×#62869 #16920613

Subgroups — C17×#62869 #16920613

Order 4352.

6510 conjugacy classes of subgroups.

The subgroup lattice has 1946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3568C214yesmaximal, complemented
2C17×#3566C214yesmaximal, complemented
3C17×#3565C214yesmaximal, complemented
4C17×#3564C212yesmaximal, complemented
5C17×#3561C212yesmaximal, complemented
6C17×#3560C212yesmaximal, complemented
7C17×#3558C212yesmaximal, complemented
8C17×#3557C214yesmaximal, complemented
9C17×#3552C212yesmaximal, complemented
10C17×#3545C212yesmaximal, complemented
11C17×#3541C214yesmaximal, complemented
12C17×#3540C214yesmaximal, complemented
13C17×#3535C214yesmaximal, complemented
14C17×#3535C212yesmaximal, complemented
15C17×#3534C212yesmaximal, complemented
16C17×#3533C214yesmaximal, complemented
17C17×#3520C214yesmaximal, complemented
18C17×#3513C214yesmaximal, complemented
19C17×#3507C212yesmaximal, complemented
20C17×#3493C211yesmaximal, characteristic, complemented
21C17×#3491C211yesmaximal, characteristic, complemented
22C17×#3459C212yesmaximal, complemented
23C2×C17×#542C211yesmaximal, characteristic, complemented
24C17×#563C2214yescomplemented
25C17×#563C2214yescomplemented
26C17×#563C2214yescomplemented
27C17×#563C2214yescomplemented
28C17×#563C2214yescomplemented
29C17×#563C2212yescomplemented
30C17×#563C2214yescomplemented
31C17×#563C2214yescomplemented
32C17×#562C2214yescomplemented
33C17×#562C2214yescomplemented
34C17×#562C2214yescomplemented
35C17×#562C2212yescomplemented
36C17×#562C2214yescomplemented
37C17×#562C2212yescomplemented
38C17×H(3,𝔽4)C2212yescomplemented
39C17×H(3,𝔽4)C2214yescomplemented
40C17×#560C2214yescomplemented
41C17×#560C2214yescomplemented
42C17×#559C2212yescomplemented
43C17×#559C2212yescomplemented
44C17×#559C2214yescomplemented
45C17×#559C2214yescomplemented
46C17×#557C2212yescomplemented
47C17×#557C2212yescomplemented
48C17×#557C2212yescomplemented
49C17×#556C2214yescomplemented
50C17×#556C2214yescomplemented
51C17×#556C2214yescomplemented
52C17×#556C2212yescomplemented
53C17×#556C2212yescomplemented
54C17×#556C2214yescomplemented
55C17×#556C2214yescomplemented
56C17×#556C2212yescomplemented
57C17×#556C2214yescomplemented
58C17×#555C2214yescomplemented
59C17×#555C2214yescomplemented
60C17×#554C2212yescomplemented
61C17×#554C2212yescomplemented
62C17×#554C2214yescomplemented
63C17×#554C2214yescomplemented
64C17×#554C2214yescomplemented
65C17×#554C2214yescomplemented
66C17×#553C2214yescomplemented
67C17×#553C2214yescomplemented
68C17×#553C2214yescomplemented
69C17×#553C2214yescomplemented
70C17×#553C2214yescomplemented
71C17×#553C2214yescomplemented
72C17×#552C2214yescomplemented
73C17×#552C2214yescomplemented
74C17×#552C2214yescomplemented
75C17×#552C2214yescomplemented
76C17×#552C2214yescomplemented
77C17×#552C2214yescomplemented
78C17×#552C2214yescomplemented
79C17×#552C2214yescomplemented
80C17×#552C2214yescomplemented
81C17×#551C2214yescomplemented
82C17×#551C2214yescomplemented
83C17×#551C2214yescomplemented
84C17×#551C2214yescomplemented
85C17×#551C2214yescomplemented
86C17×#551C2214yescomplemented
87C17×#551C2214yescomplemented
88C17×#551C2214yescomplemented
89C17×#551C2214yescomplemented
90C17×#551C2214yescomplemented
91C17×#551C2214yescomplemented
92C17×#551C2214yescomplemented
93C17×#551C2214yescomplemented
94D4×Q8×C17C2214yescomplemented
95D4×Q8×C17C2212yescomplemented
96C17×#548C2214yescomplemented
97C17×#548C2214yescomplemented
98C17×#548C2214yescomplemented
99C17×#547C2214yescomplemented
100C17×#547C2214yescomplemented
101C17×#547C2214yescomplemented
102C17×#547C2212yescomplemented
103C17×#546C2214yescomplemented
104C17×#546C2214yescomplemented
105C17×#546C2214yescomplemented
106C17×#546C2214yescomplemented
107C17×#546C2214yescomplemented
108C17×#546C2214yescomplemented
109C17×#546C2214yescomplemented
110C17×#546C2214yescomplemented
111D42×C17C2214yescomplemented
112C17×#544C2211yescharacteristic, complemented
113C17×#544C2214yescomplemented
114C17×#544C2212yescomplemented
115C17×#543C2212yescomplemented
116C17×#543C2211yescharacteristic, complemented
117C17×#543C2212yescomplemented
118C17×#542C2214yescomplemented
119C17×#542C2214yescomplemented
120C17×#542C2214yescomplemented
121C17×#542C2214yescomplemented
122C17×#542C2214yescomplemented
123C17×#542C2214yescomplemented
124C17×#542C2214yescomplemented
125C17×#542C2214yescomplemented
126C17×#542C2214yescomplemented
127C17×#542C2214yescomplemented
128C17×#542C2214yescomplemented
129C17×#542C2214yescomplemented
130C17×#542C2214yescomplemented
131C17×#542C2214yescomplemented
132C17×#542C2214yescomplemented
133C17×#542C2214yescomplemented
134C17×#542C2214yescomplemented
135C17×#541C2214yescomplemented
136C17×#541C2214yescomplemented
137C17×#541C2214yescomplemented
138C17×#540C2214yes—
139C17×#540C2214yescomplemented
140C17×#539C2214yescomplemented
141C17×#539C2214yescomplemented
142C17×#539C2214yescomplemented
143C17×#539C2212yescomplemented
144C17×#539C2212yescomplemented
145C17×#539C2214yescomplemented
146C17×#539C2214yescomplemented
147C17×#539C2214yescomplemented
148C17×#539C2214yescomplemented
149C17×#539C2214yescomplemented
150C17×#539C2214yescomplemented
151C17×#539C2212yescomplemented
152C17×#539C2214yescomplemented
153C17×#539C2214yescomplemented
154C17×#539C2212yescomplemented
155C17×#538C2212yes—
156C17×#538C2214yescomplemented
157C17×#538C2214yescomplemented
158C17×#538C2212yescomplemented
159C17×#538C2212yescomplemented
160C17×#538C2212yescomplemented
161C17×#538C2214yescomplemented
162C17×#538C2214yescomplemented
163C17×#538C2214yescomplemented
164C17×#538C2214yescomplemented
165C17×#538C2214yescomplemented
166C17×#538C2212yescomplemented
167C17×#538C2212yescomplemented
168C17×#538C2214yescomplemented
169C17×#538C2214yescomplemented
170C17×#538C2214yescomplemented
171C17×#537C2211yescharacteristic, complemented
172C17×#537C2212yescomplemented
173C17×#536C2214yescomplemented
174C17×#536C2214yescomplemented
175C17×#536C2214yescomplemented
176C17×#535C2214yescomplemented
177C17×#534C2211yescharacteristic
178C17×#534C2214yescomplemented
179C17×#534C2212yescomplemented
180C17×#534C2212yescomplemented
181C17×#533C2212yescomplemented
182C17×#533C2214yescomplemented
183C17×#532C2212yes—
184C2×C17×C4⋊Q8C2211yescharacteristic, complemented
185C17×#529C2212yescomplemented
186C17×#529C2212yescomplemented
187C17×#529C2214yescomplemented
188C17×#529C2214yescomplemented
189C17×#529C2212yescomplemented
190C17×#529C2212yescomplemented
191C17×#529C2212yescomplemented
192C17×#529C2212yescomplemented
193C17×#529C2214yescomplemented
194C17×#529C2214yescomplemented
195C17×#529C2214yescomplemented
196C2×C17×#126C2212yescomplemented
197C2×C17×#124C2211yescharacteristic, complemented
198C2×C17×#124C2212yescomplemented
199C17×#525C2214yescomplemented
200C17×#525C2214yescomplemented
201C17×#525C2214yescomplemented
202C17×#525C2212yescomplemented
203C17×#525C2214yescomplemented
204C17×#525C2214yescomplemented
205C2×C17×#123C2212yescomplemented
206C2×C17×#123C2212yescomplemented
207C2×C17×#123C2214yescomplemented
208C2×C17×C22⋊Q8C2212yescomplemented
209C2×C17×C22⋊Q8C2214yescomplemented
210C2×C17×C22⋊Q8C2211yescharacteristic, complemented
211C2×C17×#121C2211yescharacteristic
212C17×#520C2212yescomplemented
213C17×#520C2214yescomplemented
214C17×#518C2212yescomplemented
215C2×C4×Q8×C17C2211yescharacteristic, complemented
216C2×C4×D4×C17C2211yescharacteristic, complemented
217C2×C4×D4×C17C2214yescomplemented
218C2×C17×#117C2211yescharacteristic, complemented
219C2×#41×C17C2312yes—
220C2×#41×C17C2314yes—
221C2×#41×C17C2314yes—
222C2×#41×C17C2314yes—
223C2×#41×C17C2314yes—
224C22×Q8×C17C2311yescharacteristic
225C22×Q8×C17C2312yes—
226C22×Q8×C17C2314yes—
227C22×D4×C17C2311yescharacteristic
228C22×D4×C17C2314yes—
229C22×D4×C17C2312yes—
230C22×D4×C17C2312yes—
231C22×D4×C17C2314yes—
232C23×C4×C17C2311yescharacteristic
233C23×C4×C17C2312yes—
234C23×C4×C17C2314yes—
235C17×C4⋊Q8C2314yes—
236C17×C4⋊Q8C2312yes—
237C17×C4⋊Q8C2312yes—
238C17×C4⋊Q8C2312yes—
239C17×C4⋊Q8C2312yes—
240C17×C4⋊Q8C2312yes—
241C17×C4⋊Q8C2314yes—
242C17×C4⋊Q8C2314yes—
243C17×C4⋊Q8C2314yes—
244C17×C4⋊Q8C2314yes—
245C17×C4⋊Q8C2314yes—
246C17×C4⋊Q8C2314yes—
247C17×C4⋊Q8C2314yes—
248C17×C4⋊Q8C2314yes—
249C17×#127C2312yes—
250C17×#127C2314yes—
251C17×#126C2314yes—
252C17×#126C2314yes—
253C17×#126C2314yes—
254C17×#126C2314yes—
255C17×#126C2314yes—
256C17×#126C2314yes—
257C17×#126C2314yes—
258C17×#126C2314yes—
259C17×#126C2314yes—
260C17×#126C2314yes—
261C17×#126C2314yes—
262C17×#126C2314yes—
263C17×#126C2314yes—
264C17×#126C2314yes—
265C17×#126C2314yes—
266C17×#126C2314yes—
267C17×#126C2314yes—
268C17×#126C2314yes—
269C17×#126C2314yes—
270C17×#126C2314yes—
271C17×#126C2314yes—
272C17×#126C2314yes—
273C17×#126C2314yes—
274C17×#126C2314yes—
275C17×#126C2314yes—
276C17×#126C2314yes—
277C17×#126C2314yes—
278C17×#126C2314yes—
279C17×#126C2314yes—
280C17×#126C2314yes—
281C17×#126C2314yes—
282C17×#126C2314yes—
283C17×#126C2314yes—
284C17×#126C2314yes—
285C17×#125C2314yes—
286C17×#125C2314yes—
287C17×#125C2312yes—
288C17×#125C2312yes—
289C17×#125C2312yes—
290C17×#125C2314yes—
291C17×#125C2314yes—
292C17×#125C2312yes—
293C17×#125C2314yes—
294C17×#125C2312yes—
295C17×#125C2312yes—
296C17×#125C2314yes—
297C17×#125C2314yes—
298C17×#125C2314yes—
299C17×#125C2314yes—
300C17×#125C2314yes—
301C17×#125C2314yes—
302C17×#125C2314yes—
303C17×#125C2314yes—
304C17×#125C2314yes—
305C17×#125C2314yes—
306C17×#125C2314yes—
307C17×#124C2314yes—
308C17×#124C2314yes—
309C17×#124C2314yes—
310C17×#124C2314yes—
311C17×#124C2314yes—
312C17×#124C2312yes—
313C17×#124C2312yes—
314C17×#124C2312yes—
315C17×#124C2314yes—
316C17×#124C2314yes—
317C17×#124C2312yes—
318C17×#124C2314yes—
319C17×#124C2312yes—
320C17×#124C2312yes—
321C17×#124C2314yes—
322C17×#124C2314yes—
323C17×#124C2312yes—
324C17×#124C2312yes—
325C17×#124C2314yes—
326C17×#124C2314yes—
327C17×#124C2314yes—
328C17×#124C2314yes—
329C17×#124C2314yes—
330C17×#124C2314yes—
331C17×#124C2314yes—
332C17×#124C2314yes—
333C17×#124C2314yes—
334C17×#124C2314yes—
335C17×#124C2314yes—
336C17×#124C2314yes—
337C17×#124C2314yes—
338C17×#124C2314yes—
339C17×#123C2314yes—
340C17×#123C2314yes—
341C17×#123C2314yes—
342C17×#123C2314yes—
343C17×#123C2314yes—
344C17×#123C2314yes—
345C17×#123C2314yes—
346C17×#123C2314yes—
347C17×#123C2314yes—
348C17×#123C2314yes—
349C17×#123C2314yes—
350C17×#123C2314yes—
351C17×#123C2314yes—
352C17×#123C2314yes—
353C17×#123C2314yes—
354C17×#123C2314yes—
355C17×#123C2314yes—
356C17×#123C2314yes—
357C17×#123C2314yes—
358C17×#123C2314yes—
359C17×#123C2314yes—
360C17×#123C2314yes—
361C17×#123C2314yes—
362C17×#123C2314yes—
363C17×#123C2314yes—
364C17×#123C2314yes—
365C17×#123C2314yes—
366C17×#123C2314yes—
367C17×#123C2314yes—
368C17×#123C2314yes—
369C17×#123C2314yes—
370C17×#123C2314yes—
371C17×#123C2314yes—
372C17×#123C2314yes—
373C17×#123C2314yes—
374C17×#123C2314yes—
375C17×#123C2314yes—
376C17×#123C2314yes—
377C17×#123C2314yes—
378C17×#123C2314yes—
379C17×#123C2314yes—
380C17×#123C2314yes—
381C17×#123C2314yes—
382C17×#123C2314yes—
383C17×#123C2314yes—
384C17×#123C2314yes—
385C17×#123C2314yes—
386C17×#123C2314yes—
387C17×C22⋊Q8C2314yes—
388C17×C22⋊Q8C2314yes—
389C17×C22⋊Q8C2314yes—
390C17×C22⋊Q8C2314yes—
391C17×C22⋊Q8C2314yes—
392C17×C22⋊Q8C2312yes—
393C17×C22⋊Q8C2314yes—
394C17×C22⋊Q8C2312yes—
395C17×C22⋊Q8C2314yes—
396C17×C22⋊Q8C2314yes—
397C17×C22⋊Q8C2314yes—
398C17×C22⋊Q8C2314yes—
399C17×C22⋊Q8C2314yes—
400C17×C22⋊Q8C2314yes—
401C17×C22⋊Q8C2314yes—
402C17×C22⋊Q8C2314yes—
403C17×C22⋊Q8C2314yes—
404C17×C22⋊Q8C2312yes—
405C17×C22⋊Q8C2314yes—
406C17×C22⋊Q8C2314yes—
407C17×C22⋊Q8C2314yes—
408C17×C22⋊Q8C2314yes—
409C17×C22⋊Q8C2314yes—
410C17×C22⋊Q8C2312yes—
411C17×C22⋊Q8C2312yes—
412C17×C22⋊Q8C2312yes—
413C17×C22⋊Q8C2314yes—
414C17×C22⋊Q8C2314yes—
415C17×C22⋊Q8C2312yes—
416C17×C22⋊Q8C2312yes—
417C17×C22⋊Q8C2314yes—
418C17×C22⋊Q8C2314yes—
419C17×C22⋊Q8C2314yes—
420C17×C22⋊Q8C2314yes—
421C17×C22⋊Q8C2314yes—
422C17×C22⋊Q8C2314yes—
423C17×C22⋊Q8C2314yes—
424C17×C22⋊Q8C2314yes—
425C17×C22⋊Q8C2314yes—
426C17×C22⋊Q8C2314yes—
427C17×C22⋊Q8C2314yes—
428C17×C22⋊Q8C2314yes—
429C17×C22⋊Q8C2314yes—
430C17×C22⋊Q8C2314yes—
431C17×C22⋊Q8C2314yes—
432C17×C22⋊Q8C2314yes—
433C17×C22⋊Q8C2314yes—
434C17×C22⋊Q8C2314yes—
435C17×C22⋊Q8C2314yes—
436C17×C22⋊Q8C2314yes—
437C17×C22⋊Q8C2314yes—
438C17×C22⋊Q8C2314yes—
439C17×C22⋊Q8C2314yes—
440C17×C22⋊Q8C2314yes—
441C17×C22⋊Q8C2314yes—
442C17×#121C2312yes—
443C17×#121C2312yes—
444C17×#121C2314yes—
445C17×#121C2314yes—
446C17×#121C2314yes—
447C17×#121C2312yes—
448C17×#121C2314yes—
449C17×#121C2314yes—
450C17×#121C2314yes—
451C17×#121C2314yes—
452C17×#121C2314yes—
453C17×#121C2314yes—
454C17×#121C2312yes—
455C17×#121C2314yes—
456C17×#121C2312yes—
457C17×#121C2312yes—
458C17×#121C2312yes—
459C17×#121C2314yes—
460C17×#121C2314yes—
461C17×#121C2312yes—
462C17×#121C2314yes—
463C17×#121C2314yes—
464C17×#121C2314yes—
465C17×#121C2314yes—
466C17×#121C2314yes—
467C17×#121C2314yes—
468C17×#121C2314yes—
469C17×#121C2314yes—
470C17×#121C2314yes—
471C17×#121C2314yes—
472C17×#121C2314yes—
473C17×#121C2314yes—
474C17×#121C2314yes—
475C17×#121C2314yes—
476C17×#121C2314yes—
477C17×#121C2314yes—
478C17×#121C2314yes—
479C17×#120C2314yes—
480C17×#120C2314yes—
481C17×#120C2314yes—
482C17×#120C2314yes—
483C17×#120C2314yes—
484C17×#120C2314yes—
485C17×#120C2314yes—
486C17×#120C2314yes—
487C17×#120C2314yes—
488C17×#120C2314yes—
489C17×#120C2314yes—
490C17×#120C2314yes—
491C17×#120C2314yes—
492C17×#120C2314yes—
493C4×Q8×C17C2312yes—
494C4×Q8×C17C2312yes—
495C4×Q8×C17C2312yes—
496C4×Q8×C17C2312yes—
497C4×Q8×C17C2314yes—
498C4×Q8×C17C2314yes—
499C4×Q8×C17C2314yes—
500C4×Q8×C17C2312yes—
501C4×Q8×C17C2312yes—
502C4×Q8×C17C2312yes—
503C4×Q8×C17C2314yes—
504C4×Q8×C17C2314yes—
505C4×Q8×C17C2312yes—
506C4×Q8×C17C2312yes—
507C4×Q8×C17C2312yes—
508C4×Q8×C17C2314yes—
509C4×Q8×C17C2314yes—
510C4×Q8×C17C2314yes—
511C4×Q8×C17C2312yes—
512C4×Q8×C17C2312yes—
513C4×D4×C17C2314yes—
514C4×D4×C17C2314yes—
515C4×D4×C17C2314yes—
516C4×D4×C17C2314yes—
517C4×D4×C17C2314yes—
518C4×D4×C17C2314yes—
519C4×D4×C17C2314yes—
520C4×D4×C17C2314yes—
521C4×D4×C17C2314yes—
522C4×D4×C17C2314yes—
523C4×D4×C17C2314yes—
524C4×D4×C17C2314yes—
525C4×D4×C17C2314yes—
526C4×D4×C17C2314yes—
527C4×D4×C17C2314yes—
528C4×D4×C17C2314yes—
529C4×D4×C17C2314yes—
530C4×D4×C17C2314yes—
531C4×D4×C17C2314yes—
532C4×D4×C17C2314yes—
533C4×D4×C17C2312yes—
534C4×D4×C17C2314yes—
535C4×D4×C17C2312yes—
536C4×D4×C17C2314yes—
537C4×D4×C17C2314yes—
538C4×D4×C17C2314yes—
539C4×D4×C17C2314yes—
540C4×D4×C17C2314yes—
541C4×D4×C17C2314yes—
542C4×D4×C17C2312yes—
543C4×D4×C17C2312yes—
544C4×D4×C17C2312yes—
545C4×D4×C17C2314yes—
546C4×D4×C17C2314yes—
547C4×D4×C17C2314yes—
548C4×D4×C17C2314yes—
549C4×D4×C17C2314yes—
550C4×D4×C17C2314yes—
551C4×D4×C17C2312yes—
552C4×D4×C17C2314yes—
553C4×D4×C17C2314yes—
554C4×D4×C17C2312yes—
555C4×D4×C17C2312yes—
556C4×D4×C17C2314yes—
557C17×#117C2314yes—
558C17×#117C2314yes—
559C17×#117C2314yes—
560C17×#117C2312yes—
561C17×#117C2314yes—
562C17×#117C2314yes—
563C17×#117C2314yes—
564C17×#117C2314yes—
565C17×#117C2314yes—
566C17×#117C2314yes—
567C17×#117C2314yes—
568C17×#117C2314yes—
569C17×#117C2314yes—
570C17×#117C2314yes—
571C17×#117C2314yes—
572C17×#117C2314yes—
573C17×#117C2314yes—
574C17×#117C2314yes—
575C17×#117C2314yes—
576C17×#117C2314yes—
577C17×#117C2314yes—
578C2×C4⋊C4×C17C2311yescharacteristic
579C2×C4⋊C4×C17C2311yescharacteristic
580C2×C4⋊C4×C17C2311yescharacteristic
581C2×C4⋊C4×C17C2314yes—
582C2×C4⋊C4×C17C2312yes—
583C2×C4⋊C4×C17C2311yescharacteristic
584C2×C4⋊C4×C17C2314yes—
585C2×C4⋊C4×C17C2314yes—
586C2×C4⋊C4×C17C2314yes—
587C2×C4⋊C4×C17C2312yes—
588C2×C4⋊C4×C17C2314yes—
589C2×C4⋊C4×C17C2312yes—
590C2×C4⋊C4×C17C2312yes—
591C2×C4⋊C4×C17C2314yes—
592C2×C4⋊C4×C17C2312yes—
593C2×C22⋊C4×C17C2311yescharacteristic
594C2×C22⋊C4×C17C2311yescharacteristic
595C2×C22⋊C4×C17C2312yes—
596C2×C22⋊C4×C17C2314yes—
597C2×C22⋊C4×C17C2314yes—
598C2×C22⋊C4×C17C2314yes—
599C2×C22⋊C4×C17C2312yes—
600C2×C22⋊C4×C17C2312yes—
601C2×C22⋊C4×C17C2312yes—
602C2×C22⋊C4×C17C2312yes—
603C2×C22⋊C4×C17C2314yes—
604C2×C22⋊C4×C17C2314yes—
605C2×C22⋊C4×C17C2312yes—
606C2×C22⋊C4×C17C2312yes—
607C2×C22⋊C4×C17C2314yes—
608C2×C22⋊C4×C17C2314yes—
609C2×C22⋊C4×C17C2312yes—
610C2×C42×C17C2311yescharacteristic
611C2×C42×C17C2311yescharacteristic
612C2×C42×C17C2314yes—
613C2×C42×C17C2312yes—
614C24×C17C2411yescharacteristic
615C24×C17C2412yes—
616C24×C17C2414yes—
617C24×C17C2412yes—
618#41×C17—44no—
619#41×C17—48no—
620#41×C17—84no—
621#41×C17—84no—
622#41×C17—84no—
623C2×Q8×C17—42no—
624C2×Q8×C17—82no—
625C2×Q8×C17—84no—
626C2×Q8×C17C2411yescharacteristic
627C2×Q8×C17C2414yes—
628C2×Q8×C17C2412yes—
629C2×Q8×C17C2412yes—
630C2×Q8×C17C2412yes—
631C2×Q8×C17C2414yes—
632C2×Q8×C17C2412yes—
633C2×Q8×C17C2412yes—
634C2×Q8×C17C2414yes—
635C2×Q8×C17C2414yes—
636C2×Q8×C17C2414yes—
637C2×Q8×C17C2412yes—
638C2×Q8×C17C2411yescharacteristic
639C2×D4×C17—42no—
640C2×D4×C17—44no—
641C2×D4×C17—48no—
642C2×D4×C17—82no—
643C2×D4×C17—84no—
644C2×D4×C17C2414yes—
645C2×D4×C17C2414yes—
646C2×D4×C17C2414yes—
647C2×D4×C17C2414yes—
648C2×D4×C17C2414yes—
649C2×D4×C17C2414yes—
650C2×D4×C17C2414yes—
651C2×D4×C17C2414yes—
652C2×D4×C17C2414yes—
653C2×D4×C17C2414yes—
654C2×D4×C17C2414yes—
655C2×D4×C17C2412yes—
656C2×D4×C17C2414yes—
657C2×D4×C17C2412yes—
658C2×D4×C17C2412yes—
659C2×D4×C17C2414yes—
660C2×D4×C17C2412yes—
661C2×D4×C17C2412yes—
662C2×D4×C17C2414yes—
663C2×D4×C17C2414yes—
664C2×D4×C17C2414yes—
665C2×D4×C17C2412yes—
666C2×D4×C17C2412yes—
667C22×C4×C17—42no—
668C22×C4×C17—82no—
669C22×C4×C17—84no—
670C22×C4×C17C2411yescharacteristic
671C22×C4×C17C2411yescharacteristic
672C22×C4×C17C2412yes—
673C22×C4×C17C2414yes—
674C22×C4×C17C2414yes—
675C22×C4×C17C2412yes—
676C22×C4×C17C2411yescharacteristic
677C22×C4×C17C2414yes—
678C22×C4×C17C2414yes—
679C22×C4×C17C2412yes—
680C22×C4×C17C2412yes—
681C22×C4×C17C2414yes—
682C22×C4×C17C2414yes—
683C22×C4×C17C2414yes—
684C22×C4×C17C2414yes—
685C22×C4×C17C2414yes—
686C22×C4×C17C2414yes—
687C22×C4×C17C2412yes—
688C22×C4×C17C2414yes—
689C22×C4×C17C2414yes—
690C22×C4×C17C2414yes—
691C22×C4×C17C2414yes—
692C22×C4×C17C2414yes—
693C22×C4×C17C2412yes—
694C22×C4×C17C2412yes—
695C22×C4×C17C2412yes—
696C22×C4×C17C2411yescharacteristic
697C22×C4×C17C2411yescharacteristic
698C22×C4×C17C2414yes—
699C22×C4×C17C2411yescharacteristic
700C4⋊C4×C17C2414yes—
701C4⋊C4×C17C2414yes—
702C4⋊C4×C17C2412yes—
703C4⋊C4×C17C2414yes—
704C4⋊C4×C17C2414yes—
705C4⋊C4×C17C2412yes—
706C4⋊C4×C17C2412yes—
707C4⋊C4×C17C2414yes—
708C4⋊C4×C17C2414yes—
709C4⋊C4×C17C2414yes—
710C4⋊C4×C17C2414yes—
711C4⋊C4×C17C2414yes—
712C4⋊C4×C17C2412yes—
713C4⋊C4×C17C2414yes—
714C4⋊C4×C17C2414yes—
715C4⋊C4×C17C2414yes—
716C4⋊C4×C17C2412yes—
717C4⋊C4×C17C2412yes—
718C4⋊C4×C17C2412yes—
719C4⋊C4×C17C2414yes—
720C4⋊C4×C17C2412yes—
721C4⋊C4×C17C2412yes—
722C4⋊C4×C17C2414yes—
723C4⋊C4×C17C2414yes—
724C4⋊C4×C17C2414yes—
725C4⋊C4×C17C2414yes—
726C4⋊C4×C17C2411yescharacteristic
727C4⋊C4×C17C2412yes—
728C4⋊C4×C17C2414yes—
729C4⋊C4×C17C2414yes—
730C4⋊C4×C17C2414yes—
731C4⋊C4×C17C2414yes—
732C4⋊C4×C17C2414yes—
733C4⋊C4×C17C2414yes—
734C4⋊C4×C17C2414yes—
735C4⋊C4×C17C2414yes—
736C4⋊C4×C17C2414yes—
737C4⋊C4×C17C2414yes—
738C4⋊C4×C17C2412yes—
739C4⋊C4×C17C2412yes—
740C4⋊C4×C17C2414yes—
741C4⋊C4×C17C2414yes—
742C4⋊C4×C17C2414yes—
743C4⋊C4×C17C2414yes—
744C4⋊C4×C17C2412yes—
745C4⋊C4×C17C2412yes—
746C4⋊C4×C17C2414yes—
747C4⋊C4×C17C2414yes—
748C4⋊C4×C17C2414yes—
749C4⋊C4×C17C2414yes—
750C4⋊C4×C17C2414yes—
751C4⋊C4×C17C2412yes—
752C4⋊C4×C17C2414yes—
753C4⋊C4×C17C2414yes—
754C4⋊C4×C17C2412yes—
755C4⋊C4×C17C2412yes—
756C4⋊C4×C17C2411yescharacteristic
757C22⋊C4×C17C2414yes—
758C22⋊C4×C17C2414yes—
759C22⋊C4×C17C2414yes—
760C22⋊C4×C17C2414yes—
761C22⋊C4×C17C2414yes—
762C22⋊C4×C17C2414yes—
763C22⋊C4×C17C2414yes—
764C22⋊C4×C17C2414yes—
765C22⋊C4×C17C2414yes—
766C22⋊C4×C17C2414yes—
767C22⋊C4×C17C2414yes—
768C22⋊C4×C17C2414yes—
769C22⋊C4×C17C2414yes—
770C22⋊C4×C17C2414yes—
771C22⋊C4×C17C2414yes—
772C22⋊C4×C17C2414yes—
773C22⋊C4×C17C2414yes—
774C22⋊C4×C17C2414yes—
775C22⋊C4×C17C2414yes—
776C22⋊C4×C17C2414yes—
777C22⋊C4×C17C2414yes—
778C22⋊C4×C17C2414yes—
779C22⋊C4×C17C2414yes—
780C22⋊C4×C17C2414yes—
781C22⋊C4×C17C2414yes—
782C22⋊C4×C17C2414yes—
783C22⋊C4×C17C2414yes—
784C22⋊C4×C17C2414yes—
785C22⋊C4×C17C2414yes—
786C22⋊C4×C17C2414yes—
787C22⋊C4×C17C2414yes—
788C22⋊C4×C17C2414yes—
789C22⋊C4×C17C2414yes—
790C22⋊C4×C17C2414yes—
791C22⋊C4×C17C2414yes—
792C22⋊C4×C17C2414yes—
793C22⋊C4×C17C2414yes—
794C22⋊C4×C17C2414yes—
795C22⋊C4×C17C2414yes—
796C22⋊C4×C17C2414yes—
797C22⋊C4×C17C2414yes—
798C22⋊C4×C17C2414yes—
799C22⋊C4×C17C2414yes—
800C22⋊C4×C17C2414yes—
801C22⋊C4×C17C2414yes—
802C22⋊C4×C17C2414yes—
803C22⋊C4×C17C2414yes—
804C22⋊C4×C17C2414yes—
805C22⋊C4×C17C2414yes—
806C42×C17C2412yes—
807C42×C17C2412yes—
808C42×C17C2414yes—
809C42×C17C2412yes—
810C42×C17C2414yes—
811C42×C17C2414yes—
812C42×C17C2414yes—
813C42×C17C2414yes—
814C42×C17C2412yes—
815C42×C17C2412yes—
816C42×C17C2412yes—
817C42×C17C2414yes—
818C42×C17C2414yes—
819C42×C17C2414yes—
820C42×C17C2414yes—
821C42×C17C2412yes—
822C42×C17C2414yes—
823C42×C17C2412yes—
824C42×C17C2414yes—
825#62869C1711yesmaximal, characteristic, direct product factor, Sylow
826C23×C17—22no—
827C23×C17—24no—
828C23×C17—42no—
829C23×C17—44no—
830C23×C17—44no—
831C23×C17—41no—
832C23×C17—42no—
833C23×C17—41no—
834C23×C17—44no—
835C23×C17—42no—
836C23×C17—42no—
837C23×C17—42no—
838C23×C17C2512yes—
839C23×C17C2514yes—
840C23×C17C2514yes—
841C23×C17C2514yes—
842C23×C17C2511yescharacteristic
843Q8×C17—41no—
844Q8×C17—42no—
845Q8×C17—41no—
846Q8×C17—42no—
847Q8×C17—44no—
848Q8×C17—44no—
849Q8×C17—44no—
850Q8×C17—44no—
851Q8×C17—42no—
852Q8×C17—42no—
853Q8×C17—42no—
854Q8×C17—42no—
855Q8×C17—44no—
856D4×C17—28no—
857D4×C17—28no—
858D4×C17—42no—
859D4×C17—42no—
860D4×C17—44no—
861D4×C17—44no—
862D4×C17—44no—
863D4×C17—44no—
864D4×C17—44no—
865D4×C17—44no—
866D4×C17—44no—
867D4×C17—44no—
868D4×C17—44no—
869D4×C17—42no—
870D4×C17—44no—
871D4×C17—42no—
872D4×C17—44no—
873D4×C17—42no—
874D4×C17—42no—
875D4×C17—44no—
876D4×C17—44no—
877D4×C17—44no—
878D4×C17—42no—
879C2×C4×C17—22no—
880C2×C4×C17—22no—
881C2×C4×C17—24no—
882C2×C4×C17—42no—
883C2×C4×C17—42no—
884C2×C4×C17—41no—
885C2×C4×C17—44no—
886C2×C4×C17—42no—
887C2×C4×C17—44no—
888C2×C4×C17—44no—
889C2×C4×C17—44no—
890C2×C4×C17—44no—
891C2×C4×C17—44no—
892C2×C4×C17—44no—
893C2×C4×C17—41no—
894C2×C4×C17—44no—
895C2×C4×C17—42no—
896C2×C4×C17—44no—
897C2×C4×C17—41no—
898C2×C4×C17—42no—
899C2×C4×C17—44no—
900C2×C4×C17—42no—
901C2×C4×C17—44no—
902C2×C4×C17—41no—
903C2×C4×C17—44no—
904C2×C4×C17—44no—
905C2×C4×C17—44no—
906C2×C4×C17—44no—
907C2×C4×C17—44no—
908C2×C4×C17—42no—
909C2×C4×C17C2512yes—
910C2×C4×C17C2514yes—
911C2×C4×C17C2512yes—
912C2×C4×C17C2512yes—
913C2×C4×C17C2512yes—
914C2×C4×C17C2514yes—
915C2×C4×C17C2512yes—
916C2×C4×C17C2511yescharacteristic
917C2×C4×C17C2511yescharacteristic
918C2×C4×C17C2514yes—
919C2×C4×C17C2512yes—
920C2×C4×C17C2514yes—
921C2×C4×C17C2512yes—
922C2×C4×C17C2512yes—
923C2×C4×C17C2512yes—
924C2×C4×C17C2514yes—
925C2×C4×C17C2514yes—
926C2×C4×C17C2514yes—
927#3568C2×C1714yescomplemented
928#3566C2×C1714yescomplemented
929#3565C2×C1714yescomplemented
930#3564C2×C1712yescomplemented
931#3561C2×C1712yescomplemented
932#3560C2×C1712yescomplemented
933#3558C2×C1712yescomplemented
934#3557C2×C1714yescomplemented
935#3552C2×C1712yescomplemented
936#3545C2×C1712yescomplemented
937#3541C2×C1714yescomplemented
938#3540C2×C1714yescomplemented
939#3535C2×C1712yescomplemented
940#3535C2×C1714yescomplemented
941#3534C2×C1712yescomplemented
942#3533C2×C1714yescomplemented
943#3520C2×C1714yescomplemented
944#3513C2×C1714yescomplemented
945#3507C2×C1712yescomplemented
946#3493C2×C1711yescharacteristic, complemented
947#3491C2×C1711yescharacteristic, complemented
948#3459C2×C1712yescomplemented
949C2×#542C2×C1711yescharacteristic, complemented
950C22×C17—21no—
951C22×C17—21no—
952C22×C17—22no—
953C22×C17—24no—
954C22×C17—24no—
955C22×C17—24no—
956C22×C17—24no—
957C22×C17—24no—
958C22×C17—24no—
959C22×C17—22no—
960C22×C17—24no—
961C22×C17—22no—
962C22×C17—24no—
963C22×C17—24no—
964C22×C17—84no—
965C22×C17—82no—
966C22×C17—88no—
967C22×C17—162no—
968C22×C17#58512yes—
969C22×C17C2611yescharacteristic
970C4×C17—22no—
971C4×C17—22no—
972C4×C17—21no—
973C4×C17—21no—
974C4×C17—22no—
975C4×C17—24no—
976C4×C17—24no—
977C4×C17—22no—
978C4×C17—24no—
979C4×C17—24no—
980C4×C17—24no—
981C4×C17—22no—
982C4×C17—22no—
983C4×C17—22no—
984C4×C17—22no—
985C4×C17—24no—
986C4×C17—24no—
987C4×C17—22no—
988#563C22×C1714yescomplemented
989#563C22×C1714yescomplemented
990#563C22×C1714yescomplemented
991#563C22×C1714yescomplemented
992#563C22×C1714yescomplemented
993#563C22×C1712yescomplemented
994#563C22×C1714yescomplemented
995#563C22×C1714yescomplemented
996#562C22×C1714yescomplemented
997#562C22×C1714yescomplemented
998#562C22×C1714yescomplemented
999#562C22×C1712yescomplemented
1000#562C22×C1714yescomplemented
1001#562C22×C1712yescomplemented
1002H(3,𝔽4)C22×C1712yescomplemented
1003H(3,𝔽4)C22×C1714yescomplemented
1004#560C22×C1714yescomplemented
1005#560C22×C1714yescomplemented
1006#559C22×C1712yescomplemented
1007#559C22×C1712yescomplemented
1008#559C22×C1714yescomplemented
1009#559C22×C1714yescomplemented
1010#557C22×C1712yescomplemented
1011#557C22×C1712yescomplemented
1012#557C22×C1712yescomplemented
1013#556C22×C1714yescomplemented
1014#556C22×C1714yescomplemented
1015#556C22×C1714yescomplemented
1016#556C22×C1712yescomplemented
1017#556C22×C1712yescomplemented
1018#556C22×C1714yescomplemented
1019#556C22×C1714yescomplemented
1020#556C22×C1712yescomplemented
1021#556C22×C1714yescomplemented
1022#555C22×C1714yescomplemented
1023#555C22×C1714yescomplemented
1024#554C22×C1712yescomplemented
1025#554C22×C1712yescomplemented
1026#554C22×C1714yescomplemented
1027#554C22×C1714yescomplemented
1028#554C22×C1714yescomplemented
1029#554C22×C1714yescomplemented
1030#553C22×C1714yescomplemented
1031#553C22×C1714yescomplemented
1032#553C22×C1714yescomplemented
1033#553C22×C1714yescomplemented
1034#553C22×C1714yescomplemented
1035#553C22×C1714yescomplemented
1036#552C22×C1714yescomplemented
1037#552C22×C1714yescomplemented
1038#552C22×C1714yescomplemented
1039#552C22×C1714yescomplemented
1040#552C22×C1714yescomplemented
1041#552C22×C1714yescomplemented
1042#552C22×C1714yescomplemented
1043#552C22×C1714yescomplemented
1044#552C22×C1714yescomplemented
1045#551C22×C1714yescomplemented
1046#551C22×C1714yescomplemented
1047#551C22×C1714yescomplemented
1048#551C22×C1714yescomplemented
1049#551C22×C1714yescomplemented
1050#551C22×C1714yescomplemented
1051#551C22×C1714yescomplemented
1052#551C22×C1714yescomplemented
1053#551C22×C1714yescomplemented
1054#551C22×C1714yescomplemented
1055#551C22×C1714yescomplemented
1056#551C22×C1714yescomplemented
1057#551C22×C1714yescomplemented
1058D4×Q8C22×C1714yescomplemented
1059D4×Q8C22×C1712yescomplemented
1060#548C22×C1714yescomplemented
1061#548C22×C1714yescomplemented
1062#548C22×C1714yescomplemented
1063#547C22×C1714yescomplemented
1064#547C22×C1714yescomplemented
1065#547C22×C1714yescomplemented
1066#547C22×C1712yescomplemented
1067#546C22×C1714yescomplemented
1068#546C22×C1714yescomplemented
1069#546C22×C1714yescomplemented
1070#546C22×C1714yescomplemented
1071#546C22×C1714yescomplemented
1072#546C22×C1714yescomplemented
1073#546C22×C1714yescomplemented
1074#546C22×C1714yescomplemented
1075D42C22×C1714yescomplemented
1076#544C22×C1711yescharacteristic, complemented
1077#544C22×C1714yescomplemented
1078#544C22×C1712yescomplemented
1079#543C22×C1712yescomplemented
1080#543C22×C1711yescharacteristic, complemented
1081#543C22×C1712yescomplemented
1082#542C22×C1714yescomplemented
1083#542C22×C1714yescomplemented
1084#542C22×C1714yescomplemented
1085#542C22×C1714yescomplemented
1086#542C22×C1714yescomplemented
1087#542C22×C1714yescomplemented
1088#542C22×C1714yescomplemented
1089#542C22×C1714yescomplemented
1090#542C22×C1714yescomplemented
1091#542C22×C1714yescomplemented
1092#542C22×C1714yescomplemented
1093#542C22×C1714yescomplemented
1094#542C22×C1714yescomplemented
1095#542C22×C1714yescomplemented
1096#542C22×C1714yescomplemented
1097#542C22×C1714yescomplemented
1098#542C22×C1714yescomplemented
1099#541C22×C1714yescomplemented
1100#541C22×C1714yescomplemented
1101#541C22×C1714yescomplemented
1102#540C22×C1714yes—
1103#540C22×C1714yescomplemented
1104#539C22×C1714yescomplemented
1105#539C22×C1714yescomplemented
1106#539C22×C1714yescomplemented
1107#539C22×C1712yescomplemented
1108#539C22×C1712yescomplemented
1109#539C22×C1714yescomplemented
1110#539C22×C1714yescomplemented
1111#539C22×C1714yescomplemented
1112#539C22×C1714yescomplemented
1113#539C22×C1714yescomplemented
1114#539C22×C1714yescomplemented
1115#539C22×C1712yescomplemented
1116#539C22×C1714yescomplemented
1117#539C22×C1714yescomplemented
1118#539C22×C1712yescomplemented
1119#538C22×C1712yes—
1120#538C22×C1714yescomplemented
1121#538C22×C1714yescomplemented
1122#538C22×C1712yescomplemented
1123#538C22×C1712yescomplemented
1124#538C22×C1712yescomplemented
1125#538C22×C1714yescomplemented
1126#538C22×C1714yescomplemented
1127#538C22×C1714yescomplemented
1128#538C22×C1714yescomplemented
1129#538C22×C1714yescomplemented
1130#538C22×C1712yescomplemented
1131#538C22×C1712yescomplemented
1132#538C22×C1714yescomplemented
1133#538C22×C1714yescomplemented
1134#538C22×C1714yescomplemented
1135#537C22×C1711yescharacteristic, complemented
1136#537C22×C1712yescomplemented
1137#536C22×C1714yescomplemented
1138#536C22×C1714yescomplemented
1139#536C22×C1714yescomplemented
1140#535C22×C1714yescomplemented
1141#534C22×C1711yescharacteristic
1142#534C22×C1714yescomplemented
1143#534C22×C1712yescomplemented
1144#534C22×C1712yescomplemented
1145#533C22×C1712yescomplemented
1146#533C22×C1714yescomplemented
1147#532C22×C1712yes—
1148C2×C4⋊Q8C22×C1711yescharacteristic, complemented
1149#529C22×C1712yescomplemented
1150#529C22×C1712yescomplemented
1151#529C22×C1714yescomplemented
1152#529C22×C1714yescomplemented
1153#529C22×C1712yescomplemented
1154#529C22×C1712yescomplemented
1155#529C22×C1712yescomplemented
1156#529C22×C1712yescomplemented
1157#529C22×C1714yescomplemented
1158#529C22×C1714yescomplemented
1159#529C22×C1714yescomplemented
1160C2×#126C22×C1712yescomplemented
1161C2×#124C22×C1711yescharacteristic, complemented
1162C2×#124C22×C1712yescomplemented
1163#525C22×C1714yescomplemented
1164#525C22×C1714yescomplemented
1165#525C22×C1714yescomplemented
1166#525C22×C1712yescomplemented
1167#525C22×C1714yescomplemented
1168#525C22×C1714yescomplemented
1169C2×#123C22×C1712yescomplemented
1170C2×#123C22×C1712yescomplemented
1171C2×#123C22×C1714yescomplemented
1172C2×C22⋊Q8C22×C1712yescomplemented
1173C2×C22⋊Q8C22×C1711yescharacteristic, complemented
1174C2×C22⋊Q8C22×C1714yescomplemented
1175C2×#121C22×C1711yescharacteristic
1176#520C22×C1712yescomplemented
1177#520C22×C1714yescomplemented
1178#518C22×C1712yescomplemented
1179C2×C4×Q8C22×C1711yescharacteristic, complemented
1180C2×C4×D4C22×C1711yescharacteristic, complemented
1181C2×C4×D4C22×C1714yescomplemented
1182C2×#117C22×C1711yescharacteristic, complemented
1183C2×C17—22no—
1184C2×C17—44no—
1185C2×C17—44no—
1186C2×C17—42no—
1187C2×C17—44no—
1188C2×C17C2×#58511yescharacteristic
1189C2×C17H(7,𝔽2)11yescharacteristic
1190C2×C172−1+611yescharacteristic
1191C2×#41C23×C1712yes—
1192C2×#41C23×C1714yes—
1193C2×#41C23×C1714yes—
1194C2×#41C23×C1714yes—
1195C2×#41C23×C1714yes—
1196C22×Q8C23×C1711yescharacteristic
1197C22×Q8C23×C1712yes—
1198C22×Q8C23×C1714yes—
1199C22×D4C23×C1711yescharacteristic
1200C22×D4C23×C1714yes—
1201C22×D4C23×C1712yes—
1202C22×D4C23×C1712yes—
1203C22×D4C23×C1714yes—
1204C23×C4C23×C1711yescharacteristic
1205C23×C4C23×C1712yes—
1206C23×C4C23×C1714yes—
1207C4⋊Q8C23×C1714yes—
1208C4⋊Q8C23×C1712yes—
1209C4⋊Q8C23×C1712yes—
1210C4⋊Q8C23×C1712yes—
1211C4⋊Q8C23×C1712yes—
1212C4⋊Q8C23×C1712yes—
1213C4⋊Q8C23×C1714yes—
1214C4⋊Q8C23×C1714yes—
1215C4⋊Q8C23×C1714yes—
1216C4⋊Q8C23×C1714yes—
1217C4⋊Q8C23×C1714yes—
1218C4⋊Q8C23×C1714yes—
1219C4⋊Q8C23×C1714yes—
1220C4⋊Q8C23×C1714yes—
1221#127C23×C1712yes—
1222#127C23×C1714yes—
1223#126C23×C1714yes—
1224#126C23×C1714yes—
1225#126C23×C1714yes—
1226#126C23×C1714yes—
1227#126C23×C1714yes—
1228#126C23×C1714yes—
1229#126C23×C1714yes—
1230#126C23×C1714yes—
1231#126C23×C1714yes—
1232#126C23×C1714yes—
1233#126C23×C1714yes—
1234#126C23×C1714yes—
1235#126C23×C1714yes—
1236#126C23×C1714yes—
1237#126C23×C1714yes—
1238#126C23×C1714yes—
1239#126C23×C1714yes—
1240#126C23×C1714yes—
1241#126C23×C1714yes—
1242#126C23×C1714yes—
1243#126C23×C1714yes—
1244#126C23×C1714yes—
1245#126C23×C1714yes—
1246#126C23×C1714yes—
1247#126C23×C1714yes—
1248#126C23×C1714yes—
1249#126C23×C1714yes—
1250#126C23×C1714yes—
1251#126C23×C1714yes—
1252#126C23×C1714yes—
1253#126C23×C1714yes—
1254#126C23×C1714yes—
1255#126C23×C1714yes—
1256#126C23×C1714yes—
1257#125C23×C1714yes—
1258#125C23×C1714yes—
1259#125C23×C1712yes—
1260#125C23×C1712yes—
1261#125C23×C1712yes—
1262#125C23×C1714yes—
1263#125C23×C1714yes—
1264#125C23×C1712yes—
1265#125C23×C1714yes—
1266#125C23×C1712yes—
1267#125C23×C1712yes—
1268#125C23×C1714yes—
1269#125C23×C1714yes—
1270#125C23×C1714yes—
1271#125C23×C1714yes—
1272#125C23×C1714yes—
1273#125C23×C1714yes—
1274#125C23×C1714yes—
1275#125C23×C1714yes—
1276#125C23×C1714yes—
1277#125C23×C1714yes—
1278#125C23×C1714yes—
1279#124C23×C1714yes—
1280#124C23×C1714yes—
1281#124C23×C1714yes—
1282#124C23×C1714yes—
1283#124C23×C1714yes—
1284#124C23×C1712yes—
1285#124C23×C1712yes—
1286#124C23×C1712yes—
1287#124C23×C1714yes—
1288#124C23×C1714yes—
1289#124C23×C1712yes—
1290#124C23×C1714yes—
1291#124C23×C1712yes—
1292#124C23×C1712yes—
1293#124C23×C1714yes—
1294#124C23×C1714yes—
1295#124C23×C1712yes—
1296#124C23×C1712yes—
1297#124C23×C1714yes—
1298#124C23×C1714yes—
1299#124C23×C1714yes—
1300#124C23×C1714yes—
1301#124C23×C1714yes—
1302#124C23×C1714yes—
1303#124C23×C1714yes—
1304#124C23×C1714yes—
1305#124C23×C1714yes—
1306#124C23×C1714yes—
1307#124C23×C1714yes—
1308#124C23×C1714yes—
1309#124C23×C1714yes—
1310#124C23×C1714yes—
1311#123C23×C1714yes—
1312#123C23×C1714yes—
1313#123C23×C1714yes—
1314#123C23×C1714yes—
1315#123C23×C1714yes—
1316#123C23×C1714yes—
1317#123C23×C1714yes—
1318#123C23×C1714yes—
1319#123C23×C1714yes—
1320#123C23×C1714yes—
1321#123C23×C1714yes—
1322#123C23×C1714yes—
1323#123C23×C1714yes—
1324#123C23×C1714yes—
1325#123C23×C1714yes—
1326#123C23×C1714yes—
1327#123C23×C1714yes—
1328#123C23×C1714yes—
1329#123C23×C1714yes—
1330#123C23×C1714yes—
1331#123C23×C1714yes—
1332#123C23×C1714yes—
1333#123C23×C1714yes—
1334#123C23×C1714yes—
1335#123C23×C1714yes—
1336#123C23×C1714yes—
1337#123C23×C1714yes—
1338#123C23×C1714yes—
1339#123C23×C1714yes—
1340#123C23×C1714yes—
1341#123C23×C1714yes—
1342#123C23×C1714yes—
1343#123C23×C1714yes—
1344#123C23×C1714yes—
1345#123C23×C1714yes—
1346#123C23×C1714yes—
1347#123C23×C1714yes—
1348#123C23×C1714yes—
1349#123C23×C1714yes—
1350#123C23×C1714yes—
1351#123C23×C1714yes—
1352#123C23×C1714yes—
1353#123C23×C1714yes—
1354#123C23×C1714yes—
1355#123C23×C1714yes—
1356#123C23×C1714yes—
1357#123C23×C1714yes—
1358#123C23×C1714yes—
1359C22⋊Q8C23×C1714yes—
1360C22⋊Q8C23×C1714yes—
1361C22⋊Q8C23×C1714yes—
1362C22⋊Q8C23×C1714yes—
1363C22⋊Q8C23×C1714yes—
1364C22⋊Q8C23×C1712yes—
1365C22⋊Q8C23×C1714yes—
1366C22⋊Q8C23×C1712yes—
1367C22⋊Q8C23×C1714yes—
1368C22⋊Q8C23×C1714yes—
1369C22⋊Q8C23×C1714yes—
1370C22⋊Q8C23×C1714yes—
1371C22⋊Q8C23×C1714yes—
1372C22⋊Q8C23×C1714yes—
1373C22⋊Q8C23×C1714yes—
1374C22⋊Q8C23×C1714yes—
1375C22⋊Q8C23×C1714yes—
1376C22⋊Q8C23×C1712yes—
1377C22⋊Q8C23×C1714yes—
1378C22⋊Q8C23×C1714yes—
1379C22⋊Q8C23×C1714yes—
1380C22⋊Q8C23×C1714yes—
1381C22⋊Q8C23×C1714yes—
1382C22⋊Q8C23×C1712yes—
1383C22⋊Q8C23×C1712yes—
1384C22⋊Q8C23×C1712yes—
1385C22⋊Q8C23×C1714yes—
1386C22⋊Q8C23×C1714yes—
1387C22⋊Q8C23×C1712yes—
1388C22⋊Q8C23×C1712yes—
1389C22⋊Q8C23×C1714yes—
1390C22⋊Q8C23×C1714yes—
1391C22⋊Q8C23×C1714yes—
1392C22⋊Q8C23×C1714yes—
1393C22⋊Q8C23×C1714yes—
1394C22⋊Q8C23×C1714yes—
1395C22⋊Q8C23×C1714yes—
1396C22⋊Q8C23×C1714yes—
1397C22⋊Q8C23×C1714yes—
1398C22⋊Q8C23×C1714yes—
1399C22⋊Q8C23×C1714yes—
1400C22⋊Q8C23×C1714yes—
1401C22⋊Q8C23×C1714yes—
1402C22⋊Q8C23×C1714yes—
1403C22⋊Q8C23×C1714yes—
1404C22⋊Q8C23×C1714yes—
1405C22⋊Q8C23×C1714yes—
1406C22⋊Q8C23×C1714yes—
1407C22⋊Q8C23×C1714yes—
1408C22⋊Q8C23×C1714yes—
1409C22⋊Q8C23×C1714yes—
1410C22⋊Q8C23×C1714yes—
1411C22⋊Q8C23×C1714yes—
1412C22⋊Q8C23×C1714yes—
1413C22⋊Q8C23×C1714yes—
1414#121C23×C1712yes—
1415#121C23×C1712yes—
1416#121C23×C1714yes—
1417#121C23×C1714yes—
1418#121C23×C1714yes—
1419#121C23×C1712yes—
1420#121C23×C1714yes—
1421#121C23×C1714yes—
1422#121C23×C1714yes—
1423#121C23×C1714yes—
1424#121C23×C1714yes—
1425#121C23×C1714yes—
1426#121C23×C1712yes—
1427#121C23×C1714yes—
1428#121C23×C1712yes—
1429#121C23×C1712yes—
1430#121C23×C1712yes—
1431#121C23×C1714yes—
1432#121C23×C1714yes—
1433#121C23×C1712yes—
1434#121C23×C1714yes—
1435#121C23×C1714yes—
1436#121C23×C1714yes—
1437#121C23×C1714yes—
1438#121C23×C1714yes—
1439#121C23×C1714yes—
1440#121C23×C1714yes—
1441#121C23×C1714yes—
1442#121C23×C1714yes—
1443#121C23×C1714yes—
1444#121C23×C1714yes—
1445#121C23×C1714yes—
1446#121C23×C1714yes—
1447#121C23×C1714yes—
1448#121C23×C1714yes—
1449#121C23×C1714yes—
1450#121C23×C1714yes—
1451#120C23×C1714yes—
1452#120C23×C1714yes—
1453#120C23×C1714yes—
1454#120C23×C1714yes—
1455#120C23×C1714yes—
1456#120C23×C1714yes—
1457#120C23×C1714yes—
1458#120C23×C1714yes—
1459#120C23×C1714yes—
1460#120C23×C1714yes—
1461#120C23×C1714yes—
1462#120C23×C1714yes—
1463#120C23×C1714yes—
1464#120C23×C1714yes—
1465C4×Q8C23×C1712yes—
1466C4×Q8C23×C1712yes—
1467C4×Q8C23×C1712yes—
1468C4×Q8C23×C1712yes—
1469C4×Q8C23×C1714yes—
1470C4×Q8C23×C1714yes—
1471C4×Q8C23×C1714yes—
1472C4×Q8C23×C1712yes—
1473C4×Q8C23×C1712yes—
1474C4×Q8C23×C1712yes—
1475C4×Q8C23×C1714yes—
1476C4×Q8C23×C1714yes—
1477C4×Q8C23×C1712yes—
1478C4×Q8C23×C1712yes—
1479C4×Q8C23×C1712yes—
1480C4×Q8C23×C1714yes—
1481C4×Q8C23×C1714yes—
1482C4×Q8C23×C1714yes—
1483C4×Q8C23×C1712yes—
1484C4×Q8C23×C1712yes—
1485C4×D4C23×C1714yes—
1486C4×D4C23×C1714yes—
1487C4×D4C23×C1714yes—
1488C4×D4C23×C1714yes—
1489C4×D4C23×C1714yes—
1490C4×D4C23×C1714yes—
1491C4×D4C23×C1714yes—
1492C4×D4C23×C1714yes—
1493C4×D4C23×C1714yes—
1494C4×D4C23×C1714yes—
1495C4×D4C23×C1714yes—
1496C4×D4C23×C1714yes—
1497C4×D4C23×C1714yes—
1498C4×D4C23×C1714yes—
1499C4×D4C23×C1714yes—
1500C4×D4C23×C1714yes—
1501C4×D4C23×C1714yes—
1502C4×D4C23×C1714yes—
1503C4×D4C23×C1714yes—
1504C4×D4C23×C1714yes—
1505C4×D4C23×C1712yes—
1506C4×D4C23×C1714yes—
1507C4×D4C23×C1712yes—
1508C4×D4C23×C1714yes—
1509C4×D4C23×C1714yes—
1510C4×D4C23×C1714yes—
1511C4×D4C23×C1714yes—
1512C4×D4C23×C1714yes—
1513C4×D4C23×C1714yes—
1514C4×D4C23×C1712yes—
1515C4×D4C23×C1712yes—
1516C4×D4C23×C1712yes—
1517C4×D4C23×C1714yes—
1518C4×D4C23×C1714yes—
1519C4×D4C23×C1714yes—
1520C4×D4C23×C1714yes—
1521C4×D4C23×C1714yes—
1522C4×D4C23×C1714yes—
1523C4×D4C23×C1712yes—
1524C4×D4C23×C1714yes—
1525C4×D4C23×C1714yes—
1526C4×D4C23×C1712yes—
1527C4×D4C23×C1712yes—
1528C4×D4C23×C1714yes—
1529#117C23×C1714yes—
1530#117C23×C1714yes—
1531#117C23×C1714yes—
1532#117C23×C1712yes—
1533#117C23×C1714yes—
1534#117C23×C1714yes—
1535#117C23×C1714yes—
1536#117C23×C1714yes—
1537#117C23×C1714yes—
1538#117C23×C1714yes—
1539#117C23×C1714yes—
1540#117C23×C1714yes—
1541#117C23×C1714yes—
1542#117C23×C1714yes—
1543#117C23×C1714yes—
1544#117C23×C1714yes—
1545#117C23×C1714yes—
1546#117C23×C1714yes—
1547#117C23×C1714yes—
1548#117C23×C1714yes—
1549#117C23×C1714yes—
1550C2×C4⋊C4C23×C1711yescharacteristic
1551C2×C4⋊C4C23×C1711yescharacteristic
1552C2×C4⋊C4C23×C1711yescharacteristic
1553C2×C4⋊C4C23×C1714yes—
1554C2×C4⋊C4C23×C1712yes—
1555C2×C4⋊C4C23×C1711yescharacteristic
1556C2×C4⋊C4C23×C1714yes—
1557C2×C4⋊C4C23×C1714yes—
1558C2×C4⋊C4C23×C1714yes—
1559C2×C4⋊C4C23×C1712yes—
1560C2×C4⋊C4C23×C1714yes—
1561C2×C4⋊C4C23×C1712yes—
1562C2×C4⋊C4C23×C1712yes—
1563C2×C4⋊C4C23×C1714yes—
1564C2×C4⋊C4C23×C1712yes—
1565C2×C22⋊C4C23×C1711yescharacteristic
1566C2×C22⋊C4C23×C1711yescharacteristic
1567C2×C22⋊C4C23×C1712yes—
1568C2×C22⋊C4C23×C1714yes—
1569C2×C22⋊C4C23×C1714yes—
1570C2×C22⋊C4C23×C1714yes—
1571C2×C22⋊C4C23×C1712yes—
1572C2×C22⋊C4C23×C1712yes—
1573C2×C22⋊C4C23×C1712yes—
1574C2×C22⋊C4C23×C1712yes—
1575C2×C22⋊C4C23×C1714yes—
1576C2×C22⋊C4C23×C1714yes—
1577C2×C22⋊C4C23×C1712yes—
1578C2×C22⋊C4C23×C1712yes—
1579C2×C22⋊C4C23×C1714yes—
1580C2×C22⋊C4C23×C1712yes—
1581C2×C22⋊C4C23×C1714yes—
1582C2×C42C23×C1711yescharacteristic
1583C2×C42C23×C1711yescharacteristic
1584C2×C42C23×C1714yes—
1585C2×C42C23×C1712yes—
1586C17#6286911yescharacteristic, direct product factor, Sylow
1587C24C24×C1711yescharacteristic
1588C24C24×C1712yes—
1589C24C24×C1712yes—
1590C24C24×C1714yes—
1591#41—44no—
1592#41—48no—
1593#41—84no—
1594#41—84no—
1595#41—84no—
1596C2×Q8—42no—
1597C2×Q8—82no—
1598C2×Q8—84no—
1599C2×Q8C24×C1712yes—
1600C2×Q8C24×C1712yes—
1601C2×Q8C24×C1712yes—
1602C2×Q8C24×C1711yescharacteristic
1603C2×Q8C24×C1712yes—
1604C2×Q8C24×C1712yes—
1605C2×Q8C24×C1714yes—
1606C2×Q8C24×C1711yescharacteristic
1607C2×Q8C24×C1714yes—
1608C2×Q8C24×C1712yes—
1609C2×Q8C24×C1714yes—
1610C2×Q8C24×C1714yes—
1611C2×Q8C24×C1714yes—
1612C2×D4—42no—
1613C2×D4—44no—
1614C2×D4—48no—
1615C2×D4—82no—
1616C2×D4—84no—
1617C2×D4C24×C1714yes—
1618C2×D4C24×C1714yes—
1619C2×D4C24×C1714yes—
1620C2×D4C24×C1712yes—
1621C2×D4C24×C1714yes—
1622C2×D4C24×C1714yes—
1623C2×D4C24×C1712yes—
1624C2×D4C24×C1712yes—
1625C2×D4C24×C1714yes—
1626C2×D4C24×C1712yes—
1627C2×D4C24×C1712yes—
1628C2×D4C24×C1712yes—
1629C2×D4C24×C1714yes—
1630C2×D4C24×C1714yes—
1631C2×D4C24×C1714yes—
1632C2×D4C24×C1712yes—
1633C2×D4C24×C1714yes—
1634C2×D4C24×C1714yes—
1635C2×D4C24×C1714yes—
1636C2×D4C24×C1714yes—
1637C2×D4C24×C1714yes—
1638C2×D4C24×C1714yes—
1639C2×D4C24×C1714yes—
1640C22×C4—42no—
1641C22×C4—82no—
1642C22×C4—84no—
1643C22×C4C24×C1711yescharacteristic
1644C22×C4C24×C1712yes—
1645C22×C4C24×C1711yescharacteristic
1646C22×C4C24×C1711yescharacteristic
1647C22×C4C24×C1711yescharacteristic
1648C22×C4C24×C1711yescharacteristic
1649C22×C4C24×C1714yes—
1650C22×C4C24×C1711yescharacteristic
1651C22×C4C24×C1712yes—
1652C22×C4C24×C1714yes—
1653C22×C4C24×C1714yes—
1654C22×C4C24×C1712yes—
1655C22×C4C24×C1714yes—
1656C22×C4C24×C1712yes—
1657C22×C4C24×C1714yes—
1658C22×C4C24×C1712yes—
1659C22×C4C24×C1714yes—
1660C22×C4C24×C1714yes—
1661C22×C4C24×C1712yes—
1662C22×C4C24×C1712yes—
1663C22×C4C24×C1714yes—
1664C22×C4C24×C1714yes—
1665C22×C4C24×C1714yes—
1666C22×C4C24×C1714yes—
1667C22×C4C24×C1714yes—
1668C22×C4C24×C1714yes—
1669C22×C4C24×C1712yes—
1670C22×C4C24×C1714yes—
1671C22×C4C24×C1714yes—
1672C22×C4C24×C1714yes—
1673C4⋊C4C24×C1712yes—
1674C4⋊C4C24×C1712yes—
1675C4⋊C4C24×C1714yes—
1676C4⋊C4C24×C1714yes—
1677C4⋊C4C24×C1714yes—
1678C4⋊C4C24×C1712yes—
1679C4⋊C4C24×C1714yes—
1680C4⋊C4C24×C1714yes—
1681C4⋊C4C24×C1712yes—
1682C4⋊C4C24×C1714yes—
1683C4⋊C4C24×C1714yes—
1684C4⋊C4C24×C1714yes—
1685C4⋊C4C24×C1714yes—
1686C4⋊C4C24×C1714yes—
1687C4⋊C4C24×C1714yes—
1688C4⋊C4C24×C1714yes—
1689C4⋊C4C24×C1714yes—
1690C4⋊C4C24×C1714yes—
1691C4⋊C4C24×C1714yes—
1692C4⋊C4C24×C1714yes—
1693C4⋊C4C24×C1714yes—
1694C4⋊C4C24×C1712yes—
1695C4⋊C4C24×C1712yes—
1696C4⋊C4C24×C1714yes—
1697C4⋊C4C24×C1712yes—
1698C4⋊C4C24×C1712yes—
1699C4⋊C4C24×C1714yes—
1700C4⋊C4C24×C1714yes—
1701C4⋊C4C24×C1714yes—
1702C4⋊C4C24×C1714yes—
1703C4⋊C4C24×C1711yescharacteristic
1704C4⋊C4C24×C1712yes—
1705C4⋊C4C24×C1711yescharacteristic
1706C4⋊C4C24×C1712yes—
1707C4⋊C4C24×C1714yes—
1708C4⋊C4C24×C1714yes—
1709C4⋊C4C24×C1714yes—
1710C4⋊C4C24×C1714yes—
1711C4⋊C4C24×C1714yes—
1712C4⋊C4C24×C1714yes—
1713C4⋊C4C24×C1714yes—
1714C4⋊C4C24×C1714yes—
1715C4⋊C4C24×C1712yes—
1716C4⋊C4C24×C1714yes—
1717C4⋊C4C24×C1714yes—
1718C4⋊C4C24×C1714yes—
1719C4⋊C4C24×C1714yes—
1720C4⋊C4C24×C1712yes—
1721C4⋊C4C24×C1712yes—
1722C4⋊C4C24×C1714yes—
1723C4⋊C4C24×C1714yes—
1724C4⋊C4C24×C1714yes—
1725C4⋊C4C24×C1714yes—
1726C4⋊C4C24×C1712yes—
1727C4⋊C4C24×C1712yes—
1728C4⋊C4C24×C1712yes—
1729C4⋊C4C24×C1712yes—
1730C22⋊C4C24×C1714yes—
1731C22⋊C4C24×C1714yes—
1732C22⋊C4C24×C1714yes—
1733C22⋊C4C24×C1714yes—
1734C22⋊C4C24×C1714yes—
1735C22⋊C4C24×C1714yes—
1736C22⋊C4C24×C1714yes—
1737C22⋊C4C24×C1714yes—
1738C22⋊C4C24×C1714yes—
1739C22⋊C4C24×C1714yes—
1740C22⋊C4C24×C1714yes—
1741C22⋊C4C24×C1714yes—
1742C22⋊C4C24×C1714yes—
1743C22⋊C4C24×C1714yes—
1744C22⋊C4C24×C1714yes—
1745C22⋊C4C24×C1714yes—
1746C22⋊C4C24×C1714yes—
1747C22⋊C4C24×C1714yes—
1748C22⋊C4C24×C1714yes—
1749C22⋊C4C24×C1714yes—
1750C22⋊C4C24×C1714yes—
1751C22⋊C4C24×C1714yes—
1752C22⋊C4C24×C1714yes—
1753C22⋊C4C24×C1714yes—
1754C22⋊C4C24×C1714yes—
1755C22⋊C4C24×C1714yes—
1756C22⋊C4C24×C1714yes—
1757C22⋊C4C24×C1714yes—
1758C22⋊C4C24×C1714yes—
1759C22⋊C4C24×C1714yes—
1760C22⋊C4C24×C1714yes—
1761C22⋊C4C24×C1714yes—
1762C22⋊C4C24×C1714yes—
1763C22⋊C4C24×C1714yes—
1764C22⋊C4C24×C1714yes—
1765C22⋊C4C24×C1714yes—
1766C22⋊C4C24×C1714yes—
1767C22⋊C4C24×C1714yes—
1768C22⋊C4C24×C1714yes—
1769C22⋊C4C24×C1714yes—
1770C22⋊C4C24×C1714yes—
1771C22⋊C4C24×C1714yes—
1772C22⋊C4C24×C1714yes—
1773C22⋊C4C24×C1714yes—
1774C22⋊C4C24×C1714yes—
1775C22⋊C4C24×C1714yes—
1776C22⋊C4C24×C1714yes—
1777C22⋊C4C24×C1714yes—
1778C22⋊C4C24×C1714yes—
1779C42C24×C1712yes—
1780C42C24×C1714yes—
1781C42C24×C1712yes—
1782C42C24×C1712yes—
1783C42C24×C1714yes—
1784C42C24×C1714yes—
1785C42C24×C1712yes—
1786C42C24×C1712yes—
1787C42C24×C1712yes—
1788C42C24×C1714yes—
1789C42C24×C1712yes—
1790C42C24×C1712yes—
1791C42C24×C1714yes—
1792C42C24×C1714yes—
1793C42C24×C1714yes—
1794C42C24×C1714yes—
1795C42C24×C1714yes—
1796C42C24×C1714yes—
1797C42C24×C1714yes—
1798C23—22no—
1799C23—24no—
1800C23—42no—
1801C23—44no—
1802C23—44no—
1803C23—41no—
1804C23—42no—
1805C23—41no—
1806C23—44no—
1807C23—42no—
1808C23—42no—
1809C23—42no—
1810C23C25×C1712yes—
1811C23C25×C1714yes—
1812C23C25×C1714yes—
1813C23C25×C1714yes—
1814C23C25×C1711yescharacteristic
1815Q8—41no—
1816Q8—42no—
1817Q8—41no—
1818Q8—42no—
1819Q8—44no—
1820Q8—44no—
1821Q8—44no—
1822Q8—44no—
1823Q8—42no—
1824Q8—44no—
1825Q8—42no—
1826Q8—42no—
1827Q8—42no—
1828D4—28no—
1829D4—28no—
1830D4—42no—
1831D4—42no—
1832D4—44no—
1833D4—44no—
1834D4—44no—
1835D4—44no—
1836D4—44no—
1837D4—44no—
1838D4—44no—
1839D4—44no—
1840D4—42no—
1841D4—44no—
1842D4—44no—
1843D4—44no—
1844D4—42no—
1845D4—44no—
1846D4—42no—
1847D4—44no—
1848D4—42no—
1849D4—44no—
1850D4—42no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—42no—
1855C2×C4—42no—
1856C2×C4—41no—
1857C2×C4—44no—
1858C2×C4—42no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—42no—
1866C2×C4—44no—
1867C2×C4—42no—
1868C2×C4—44no—
1869C2×C4—41no—
1870C2×C4—44no—
1871C2×C4—44no—
1872C2×C4—44no—
1873C2×C4—44no—
1874C2×C4—44no—
1875C2×C4—42no—
1876C2×C4—41no—
1877C2×C4—44no—
1878C2×C4—42no—
1879C2×C4—44no—
1880C2×C4—41no—
1881C2×C4C25×C1712yes—
1882C2×C4C25×C1714yes—
1883C2×C4C25×C1712yes—
1884C2×C4C25×C1712yes—
1885C2×C4C25×C1712yes—
1886C2×C4C25×C1714yes—
1887C2×C4C25×C1712yes—
1888C2×C4C25×C1711yescharacteristic
1889C2×C4C25×C1711yescharacteristic
1890C2×C4C25×C1714yes—
1891C2×C4C25×C1712yes—
1892C2×C4C25×C1714yes—
1893C2×C4C25×C1712yes—
1894C2×C4C25×C1712yes—
1895C2×C4C25×C1712yes—
1896C2×C4C25×C1714yes—
1897C2×C4C25×C1714yes—
1898C2×C4C25×C1714yes—
1899C22—21no—
1900C22—21no—
1901C22—22no—
1902C22—24no—
1903C22—24no—
1904C22—24no—
1905C22—24no—
1906C22—24no—
1907C22—24no—
1908C22—22no—
1909C22—24no—
1910C22—22no—
1911C22—24no—
1912C22—24no—
1913C22—84no—
1914C22—82no—
1915C22—88no—
1916C22—162no—
1917C22C17×#58512yes—
1918C22C26×C1711yescharacteristic
1919C4—22no—
1920C4—22no—
1921C4—21no—
1922C4—21no—
1923C4—22no—
1924C4—24no—
1925C4—24no—
1926C4—22no—
1927C4—24no—
1928C4—24no—
1929C4—24no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—24no—
1935C4—24no—
1936C4—22no—
1937C2—22no—
1938C2—44no—
1939C2—42no—
1940C2—44no—
1941C2—44no—
1942C2C2×C17×#58511yescharacteristic
1943C2C17×H(7,𝔽2)11yescharacteristic
1944C2C17×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C17C26
commutator, Frattini, cosocleC22C26×C17
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#3568C2semidirect
2. C17×#3566C2semidirect
3. C17×#3565C2semidirect
4. C17×#3564C2semidirect
5. C17×#3561C2semidirect
6. C17×#3560C2semidirect
7. C17×#3558C2semidirect
8. C17×#3557C2semidirect
9. C17×#3552C2semidirect
10. C17×#3545C2semidirect
11. C17×#3541C2semidirect
12. C17×#3540C2semidirect
13. C17×#3535C2semidirect
14. C17×#3535C2semidirect
15. C17×#3534C2semidirect
16. C17×#3533C2semidirect
17. C17×#3520C2semidirect
18. C17×#3513C2semidirect
19. C17×#3507C2semidirect
20. C17×#3493C2semidirect
21. C17×#3491C2semidirect
22. C17×#3459C2semidirect
23. C2×C17×#542C2semidirect
24. C17×#563C22semidirect
25. C17×#563C22semidirect
26. C17×#563C22semidirect
27. C17×#563C22semidirect
28. C17×#563C22semidirect
29. C17×#563C22semidirect
30. C17×#563C22semidirect
31. C17×#563C22semidirect
32. C17×#562C22semidirect
33. C17×#562C22semidirect
34. C17×#562C22semidirect
35. C17×#562C22semidirect
36. C17×#562C22semidirect
37. C17×#562C22semidirect
38. C17×H(3,𝔽4)C22semidirect
39. C17×H(3,𝔽4)C22semidirect
40. C17×#560C22semidirect
41. C17×#560C22semidirect
42. C17×#559C22semidirect
43. C17×#559C22semidirect
44. C17×#559C22semidirect
45. C17×#559C22semidirect
46. C17×#557C22semidirect
47. C17×#557C22semidirect
48. C17×#557C22semidirect
49. C17×#556C22semidirect
50. C17×#556C22semidirect
51. C17×#556C22semidirect
52. C17×#556C22semidirect
53. C17×#556C22semidirect
54. C17×#556C22semidirect
55. C17×#556C22semidirect
56. C17×#556C22semidirect
57. C17×#556C22semidirect
58. C17×#555C22semidirect
59. C17×#555C22semidirect
60. C17×#554C22semidirect
61. C17×#554C22semidirect
62. C17×#554C22semidirect
63. C17×#554C22semidirect
64. C17×#554C22semidirect
65. C17×#554C22semidirect
66. C17×#553C22semidirect
67. C17×#553C22semidirect
68. C17×#553C22semidirect
69. C17×#553C22semidirect
70. C17×#553C22semidirect
71. C17×#553C22semidirect
72. C17×#552C22semidirect
73. C17×#552C22semidirect
74. C17×#552C22semidirect
75. C17×#552C22semidirect
76. C17×#552C22semidirect
77. C17×#552C22semidirect
78. C17×#552C22semidirect
79. C17×#552C22semidirect
80. C17×#552C22semidirect
81. C17×#551C22semidirect
82. C17×#551C22semidirect
83. C17×#551C22semidirect
84. C17×#551C22semidirect
85. C17×#551C22semidirect
86. C17×#551C22semidirect
87. C17×#551C22semidirect
88. C17×#551C22semidirect
89. C17×#551C22semidirect
90. C17×#551C22semidirect
91. C17×#551C22semidirect
92. C17×#551C22semidirect
93. C17×#551C22semidirect
94. D4×Q8×C17C22semidirect
95. D4×Q8×C17C22semidirect
96. C17×#548C22semidirect
97. C17×#548C22semidirect
98. C17×#548C22semidirect
99. C17×#547C22semidirect
100. C17×#547C22semidirect
101. C17×#547C22semidirect
102. C17×#547C22semidirect
103. C17×#546C22semidirect
104. C17×#546C22semidirect
105. C17×#546C22semidirect
106. C17×#546C22semidirect
107. C17×#546C22semidirect
108. C17×#546C22semidirect
109. C17×#546C22semidirect
110. C17×#546C22semidirect
111. D42×C17C22semidirect
112. C17×#544C22semidirect
113. C17×#544C22semidirect
114. C17×#544C22semidirect
115. C17×#543C22semidirect
116. C17×#543C22semidirect
117. C17×#543C22semidirect
118. C17×#542C22semidirect
119. C17×#542C22semidirect
120. C17×#542C22semidirect
121. C17×#542C22semidirect
122. C17×#542C22semidirect
123. C17×#542C22semidirect
124. C17×#542C22semidirect
125. C17×#542C22semidirect
126. C17×#542C22semidirect
127. C17×#542C22semidirect
128. C17×#542C22semidirect
129. C17×#542C22semidirect
130. C17×#542C22semidirect
131. C17×#542C22semidirect
132. C17×#542C22semidirect
133. C17×#542C22semidirect
134. C17×#542C22semidirect
135. C17×#541C22semidirect
136. C17×#541C22semidirect
137. C17×#541C22semidirect
139. C17×#540C22semidirect
140. C17×#539C22semidirect
141. C17×#539C22semidirect
142. C17×#539C22semidirect
143. C17×#539C22semidirect
144. C17×#539C22semidirect
145. C17×#539C22semidirect
146. C17×#539C22semidirect
147. C17×#539C22semidirect
148. C17×#539C22semidirect
149. C17×#539C22semidirect
150. C17×#539C22semidirect
151. C17×#539C22semidirect
152. C17×#539C22semidirect
153. C17×#539C22semidirect
154. C17×#539C22semidirect
156. C17×#538C22semidirect
157. C17×#538C22semidirect
158. C17×#538C22semidirect
159. C17×#538C22semidirect
160. C17×#538C22semidirect
161. C17×#538C22semidirect
162. C17×#538C22semidirect
163. C17×#538C22semidirect
164. C17×#538C22semidirect
165. C17×#538C22semidirect
166. C17×#538C22semidirect
167. C17×#538C22semidirect
168. C17×#538C22semidirect
169. C17×#538C22semidirect
170. C17×#538C22semidirect
171. C17×#537C22semidirect
172. C17×#537C22semidirect
173. C17×#536C22semidirect
174. C17×#536C22semidirect
175. C17×#536C22semidirect
176. C17×#535C22semidirect
178. C17×#534C22semidirect
179. C17×#534C22semidirect
180. C17×#534C22semidirect
181. C17×#533C22semidirect
182. C17×#533C22semidirect
184. C2×C17×C4⋊Q8C22semidirect
185. C17×#529C22semidirect
186. C17×#529C22semidirect
187. C17×#529C22semidirect
188. C17×#529C22semidirect
189. C17×#529C22semidirect
190. C17×#529C22semidirect
191. C17×#529C22semidirect
192. C17×#529C22semidirect
193. C17×#529C22semidirect
194. C17×#529C22semidirect
195. C17×#529C22semidirect
196. C2×C17×#126C22semidirect
197. C2×C17×#124C22semidirect
198. C2×C17×#124C22semidirect
199. C17×#525C22semidirect
200. C17×#525C22semidirect
201. C17×#525C22semidirect
202. C17×#525C22semidirect
203. C17×#525C22semidirect
204. C17×#525C22semidirect
205. C2×C17×#123C22semidirect
206. C2×C17×#123C22semidirect
207. C2×C17×#123C22semidirect
208. C2×C17×C22⋊Q8C22semidirect
209. C2×C17×C22⋊Q8C22semidirect
210. C2×C17×C22⋊Q8C22semidirect
212. C17×#520C22semidirect
213. C17×#520C22semidirect
214. C17×#518C22semidirect
215. C2×C4×Q8×C17C22semidirect
216. C2×C4×D4×C17C22semidirect
217. C2×C4×D4×C17C22semidirect
218. C2×C17×#117C22semidirect
825. #62869C17direct (N × H)
927. #3568C2×C17semidirect
928. #3566C2×C17semidirect
929. #3565C2×C17semidirect
930. #3564C2×C17semidirect
931. #3561C2×C17semidirect
932. #3560C2×C17semidirect
933. #3558C2×C17semidirect
934. #3557C2×C17semidirect
935. #3552C2×C17semidirect
936. #3545C2×C17semidirect
937. #3541C2×C17semidirect
938. #3540C2×C17semidirect
939. #3535C2×C17semidirect
940. #3535C2×C17semidirect
941. #3534C2×C17semidirect
942. #3533C2×C17semidirect
943. #3520C2×C17semidirect
944. #3513C2×C17semidirect
945. #3507C2×C17semidirect
946. #3493C2×C17semidirect
947. #3491C2×C17semidirect
948. #3459C2×C17semidirect
949. C2×#542C2×C17semidirect
988. #563C22×C17semidirect
989. #563C22×C17semidirect
990. #563C22×C17semidirect
991. #563C22×C17semidirect
992. #563C22×C17semidirect
993. #563C22×C17semidirect
994. #563C22×C17semidirect
995. #563C22×C17semidirect
996. #562C22×C17semidirect
997. #562C22×C17semidirect
998. #562C22×C17semidirect
999. #562C22×C17semidirect
1000. #562C22×C17semidirect
1001. #562C22×C17semidirect
1002. H(3,𝔽4)C22×C17semidirect
1003. H(3,𝔽4)C22×C17semidirect
1004. #560C22×C17semidirect
1005. #560C22×C17semidirect
1006. #559C22×C17semidirect
1007. #559C22×C17semidirect
1008. #559C22×C17semidirect
1009. #559C22×C17semidirect
1010. #557C22×C17semidirect
1011. #557C22×C17semidirect
1012. #557C22×C17semidirect
1013. #556C22×C17semidirect
1014. #556C22×C17semidirect
1015. #556C22×C17semidirect
1016. #556C22×C17semidirect
1017. #556C22×C17semidirect
1018. #556C22×C17semidirect
1019. #556C22×C17semidirect
1020. #556C22×C17semidirect
1021. #556C22×C17semidirect
1022. #555C22×C17semidirect
1023. #555C22×C17semidirect
1024. #554C22×C17semidirect
1025. #554C22×C17semidirect
1026. #554C22×C17semidirect
1027. #554C22×C17semidirect
1028. #554C22×C17semidirect
1029. #554C22×C17semidirect
1030. #553C22×C17semidirect
1031. #553C22×C17semidirect
1032. #553C22×C17semidirect
1033. #553C22×C17semidirect
1034. #553C22×C17semidirect
1035. #553C22×C17semidirect
1036. #552C22×C17semidirect
1037. #552C22×C17semidirect
1038. #552C22×C17semidirect
1039. #552C22×C17semidirect
1040. #552C22×C17semidirect
1041. #552C22×C17semidirect
1042. #552C22×C17semidirect
1043. #552C22×C17semidirect
1044. #552C22×C17semidirect
1045. #551C22×C17semidirect
1046. #551C22×C17semidirect
1047. #551C22×C17semidirect
1048. #551C22×C17semidirect
1049. #551C22×C17semidirect
1050. #551C22×C17semidirect
1051. #551C22×C17semidirect
1052. #551C22×C17semidirect
1053. #551C22×C17semidirect
1054. #551C22×C17semidirect
1055. #551C22×C17semidirect
1056. #551C22×C17semidirect
1057. #551C22×C17semidirect
1058. D4×Q8C22×C17semidirect
1059. D4×Q8C22×C17semidirect
1060. #548C22×C17semidirect
1061. #548C22×C17semidirect
1062. #548C22×C17semidirect
1063. #547C22×C17semidirect
1064. #547C22×C17semidirect
1065. #547C22×C17semidirect
1066. #547C22×C17semidirect
1067. #546C22×C17semidirect
1068. #546C22×C17semidirect
1069. #546C22×C17semidirect
1070. #546C22×C17semidirect
1071. #546C22×C17semidirect
1072. #546C22×C17semidirect
1073. #546C22×C17semidirect
1074. #546C22×C17semidirect
1075. D42C22×C17semidirect
1076. #544C22×C17semidirect
1077. #544C22×C17semidirect
1078. #544C22×C17semidirect
1079. #543C22×C17semidirect
1080. #543C22×C17semidirect
1081. #543C22×C17semidirect
1082. #542C22×C17semidirect
1083. #542C22×C17semidirect
1084. #542C22×C17semidirect
1085. #542C22×C17semidirect
1086. #542C22×C17semidirect
1087. #542C22×C17semidirect
1088. #542C22×C17semidirect
1089. #542C22×C17semidirect
1090. #542C22×C17semidirect
1091. #542C22×C17semidirect
1092. #542C22×C17semidirect
1093. #542C22×C17semidirect
1094. #542C22×C17semidirect
1095. #542C22×C17semidirect
1096. #542C22×C17semidirect
1097. #542C22×C17semidirect
1098. #542C22×C17semidirect
1099. #541C22×C17semidirect
1100. #541C22×C17semidirect
1101. #541C22×C17semidirect
1103. #540C22×C17semidirect
1104. #539C22×C17semidirect
1105. #539C22×C17semidirect
1106. #539C22×C17semidirect
1107. #539C22×C17semidirect
1108. #539C22×C17semidirect
1109. #539C22×C17semidirect
1110. #539C22×C17semidirect
1111. #539C22×C17semidirect
1112. #539C22×C17semidirect
1113. #539C22×C17semidirect
1114. #539C22×C17semidirect
1115. #539C22×C17semidirect
1116. #539C22×C17semidirect
1117. #539C22×C17semidirect
1118. #539C22×C17semidirect
1120. #538C22×C17semidirect
1121. #538C22×C17semidirect
1122. #538C22×C17semidirect
1123. #538C22×C17semidirect
1124. #538C22×C17semidirect
1125. #538C22×C17semidirect
1126. #538C22×C17semidirect
1127. #538C22×C17semidirect
1128. #538C22×C17semidirect
1129. #538C22×C17semidirect
1130. #538C22×C17semidirect
1131. #538C22×C17semidirect
1132. #538C22×C17semidirect
1133. #538C22×C17semidirect
1134. #538C22×C17semidirect
1135. #537C22×C17semidirect
1136. #537C22×C17semidirect
1137. #536C22×C17semidirect
1138. #536C22×C17semidirect
1139. #536C22×C17semidirect
1140. #535C22×C17semidirect
1142. #534C22×C17semidirect
1143. #534C22×C17semidirect
1144. #534C22×C17semidirect
1145. #533C22×C17semidirect
1146. #533C22×C17semidirect
1148. C2×C4⋊Q8C22×C17semidirect
1149. #529C22×C17semidirect
1150. #529C22×C17semidirect
1151. #529C22×C17semidirect
1152. #529C22×C17semidirect
1153. #529C22×C17semidirect
1154. #529C22×C17semidirect
1155. #529C22×C17semidirect
1156. #529C22×C17semidirect
1157. #529C22×C17semidirect
1158. #529C22×C17semidirect
1159. #529C22×C17semidirect
1160. C2×#126C22×C17semidirect
1161. C2×#124C22×C17semidirect
1162. C2×#124C22×C17semidirect
1163. #525C22×C17semidirect
1164. #525C22×C17semidirect
1165. #525C22×C17semidirect
1166. #525C22×C17semidirect
1167. #525C22×C17semidirect
1168. #525C22×C17semidirect
1169. C2×#123C22×C17semidirect
1170. C2×#123C22×C17semidirect
1171. C2×#123C22×C17semidirect
1172. C2×C22⋊Q8C22×C17semidirect
1173. C2×C22⋊Q8C22×C17semidirect
1174. C2×C22⋊Q8C22×C17semidirect
1176. #520C22×C17semidirect
1177. #520C22×C17semidirect
1178. #518C22×C17semidirect
1179. C2×C4×Q8C22×C17semidirect
1180. C2×C4×D4C22×C17semidirect
1181. C2×C4×D4C22×C17semidirect
1182. C2×#117C22×C17semidirect
1586. C17#62869direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#35682
C17×#35662
C17×#35652
C17×#35642
C17×#35612
C17×#35602
C17×#35582
C17×#35572
C17×#35522
C17×#35452
C17×#35412
C17×#35402
C17×#35352
C17×#35342
C17×#35332
C17×#35202
C17×#35132
C17×#35072
C17×#34932
C17×#34912
C17×#34592
C2×C17×#5422
#6286917