Finite Group Databasebeta

← D17×#3563 #17941694

Subgroups — D17×#3563 #17941694

Order 4352.

6458 conjugacy classes of subgroups.

The subgroup lattice has 2262 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543394C211yesmaximal, characteristic, complemented
2#14543393C212yesmaximal, complemented
3#14543392C212yesmaximal, complemented
4#14543391C212yesmaximal, complemented
5#14543390C211yesmaximal, characteristic, complemented
6#14543389C212yesmaximal, complemented
7#14543388C212yesmaximal, complemented
8#14543387C211yesmaximal, characteristic, complemented
9#14543386C212yesmaximal, complemented
10#14543385C212yesmaximal, complemented
11#14543384C212yesmaximal, complemented
12#14543383C212yesmaximal, complemented
13#14543382C214yesmaximal, complemented
14#14543381C214yesmaximal, complemented
15#14543380C212yesmaximal, complemented
16D17×#564C212yesmaximal, complemented
17D17×#563C212yesmaximal, complemented
18D17×#557C212yesmaximal, complemented
19D17×#554C212yesmaximal, complemented
20D17×#552C214yesmaximal, complemented
21D17×#552C212yesmaximal, complemented
22D17×#552C212yesmaximal, complemented
23D17×#544C212yesmaximal, complemented
24D17×#544C212yesmaximal, complemented
25D17×#541C214yesmaximal, complemented
26D17×#541C212yesmaximal, complemented
27D17×#539C212yesmaximal
28D17×#533C211yesmaximal, characteristic, complemented
29D17×#529C211yesmaximal, characteristic
30C2×#125×D17C211yesmaximal, characteristic, complemented
31C17×#3563C211yesmaximal, characteristic, complemented
32C17⋊#564C2214yescomplemented
33C17⋊#564C2214yescomplemented
34C17⋊#564C2214yescomplemented
35C17⋊#564C2214yescomplemented
36C17⋊#564C2214yescomplemented
37C17⋊#564C2214yescomplemented
38C17⋊#564C2212yescomplemented
39C17⋊#564C2212yescomplemented
40C17⋊#564C2212yescomplemented
41#11763563C2212yescomplemented
42#11763563C2212yescomplemented
43#11763562C2214yescomplemented
44#11763561C2214yescomplemented
45#11763561C2214yescomplemented
46#11763560C2214yescomplemented
47#11763560C2214yescomplemented
48#11763559C2212yescomplemented
49#11763558C2214yescomplemented
50#11763538C2212yescomplemented
51#11763537C2212yescomplemented
52#11763537C2214yescomplemented
53#11763536C2214yescomplemented
54#11763536C2212yescomplemented
55#11763536C2212yescomplemented
56#11763536C2214yescomplemented
57#11763535C2212yescomplemented
58#11763535C2212yescomplemented
59#11763534C2214yescomplemented
60#11763534C2212yescomplemented
61#11763520C2212yescomplemented
62#11763519C2212yescomplemented
63#11763518C2214yescomplemented
64#11763517C2212yescomplemented
65#11763517C2212yescomplemented
66#11763516C2212yescomplemented
67#11763515C2214yescomplemented
68#11763514C2212yescomplemented
69#11763514C2212yescomplemented
70#11763513C2214yescomplemented
71#11763513C2214yescomplemented
72#11763501C2214yescomplemented
73#11763501C2212yescomplemented
74#11763501C2212yescomplemented
75#11763500C2214yescomplemented
76#11763500C2212yescomplemented
77#11763500C2212yescomplemented
78#11763499C2212yescomplemented
79#11763499C2212yescomplemented
80#11763499C2214yescomplemented
81#11763498C2214yescomplemented
82#11763498C2212yescomplemented
83#11763498C2212yescomplemented
84#11763497C2212yescomplemented
85#11763497C2212yescomplemented
86#11763497C2214yescomplemented
87#11763496C2214yescomplemented
88#11763496C2214yescomplemented
89#11763496C2214yescomplemented
90#11763496C2214yescomplemented
91#11763495C2214yescomplemented
92#11763495C2214yescomplemented
93#11763495C2214yescomplemented
94#11763495C2214yescomplemented
95#11763494C2214yescomplemented
96#11763494C2212yescomplemented
97#11763494C2212yescomplemented
98#11763493C2214yescomplemented
99#11763493C2212yescomplemented
100#11763493C2212yescomplemented
101#11763492C2214yescomplemented
102#11763492C2214yescomplemented
103#11763492C2214yescomplemented
104#11763492C2214yescomplemented
105#11763491C2214yescomplemented
106#11763491C2214yescomplemented
107#11763491C2214yescomplemented
108#11763491C2214yescomplemented
109#11763440C2212yescomplemented
110#11763440C2212yescomplemented
111#11763439C2212yescomplemented
112#11763439C2214yescomplemented
113#11763439C2214yescomplemented
114#11763439C2212yescomplemented
115#11763439C2214yescomplemented
116#11763438C2214yescomplemented
117#11763438C2214yescomplemented
118#11763438C2214yescomplemented
119#11763438C2212yescomplemented
120#11763438C2212yescomplemented
121#11763437C2214yescomplemented
122#11763437C2212yescomplemented
123#11763437C2212yescomplemented
124#11763436C2214yescomplemented
125#11763436C2212yescomplemented
126#11763436C2214yescomplemented
127#11763436C2214yescomplemented
128#11763436C2212yescomplemented
129#11763422C2214yescomplemented
130#11763422C2212yescomplemented
131#11763421C2214yescomplemented
132#11763421C2212yescomplemented
133#11763420C2214yescomplemented
134#11763420C2212yescomplemented
135#11763419C2214yescomplemented
136#11763419C2212yescomplemented
137#11763419C2214yescomplemented
138#11763419C2212yescomplemented
139#11763418C2214yescomplemented
140#11763418C2214yescomplemented
141#11763418C2214yescomplemented
142#11763418C2214yescomplemented
143#11763418C2214yescomplemented
144#11763418C2214yescomplemented
145#11763417C2214yescomplemented
146#11763417C2212yescomplemented
147#11763417C2212yescomplemented
148#11763417C2214yescomplemented
149#11763416C2214yescomplemented
150#11763416C2214yescomplemented
151#11763416C2214yescomplemented
152#11763416C2214yescomplemented
153#11763416C2214yescomplemented
154#11763416C2214yescomplemented
155#11763408C2212yes—
156#11763407C2214yes—
157#11763406C2212yes—
158#11763405C2214yes—
159#11763404C2212yes—
160#11763403C2214yes—
161#11763402C2214yes—
162#11763401C2214yes—
163#11763400C2214yes—
164#11763366C2211yescharacteristic, complemented
165#11763365C2212yescomplemented
166#11763364C2211yescharacteristic, complemented
167#11763364C2211yescharacteristic, complemented
168#11763363C2212yescomplemented
169#11763363C2212yescomplemented
170#11763362C2212yescomplemented
171#11763361C2212yescomplemented
172#11763361C2212yescomplemented
173C4⋊Q8×D17C2214yes—
174C4⋊Q8×D17C2212yes—
175C4⋊Q8×D17C2211yescharacteristic
176C4⋊Q8×D17C2214yes—
177C4⋊Q8×D17C2211yescharacteristic
178#11763346C2211yescharacteristic
179#11763345C2211yescharacteristic
180#11763344C2211yescharacteristic
181#11763343C2211yescharacteristic
182#11763342C2212yes—
183#11763341C2211yescharacteristic
184#11763340C2211yescharacteristic
185#11763339C2212yes—
186#11763338C2211yescharacteristic
187#11763337C2212yes—
188#11763336C2212yes—
189#126×D17C2214yes—
190#126×D17C2214yes—
191#126×D17C2214yes—
192#126×D17C2212yes—
193#126×D17C2214yes—
194C2×#10587556C2211yescharacteristic, complemented
195C2×#10587576C2211yescharacteristic, complemented
196C2×#10587576C2211yescharacteristic, complemented
197C2×#10587575C2212yescomplemented
198C2×#10587575C2212yescomplemented
199#125×D17C2214yes—
200#125×D17C2214yes—
201#125×D17C2212yes—
202#125×D17C2212yes—
203#125×D17C2212yes—
204#125×D17C2212yes—
205#125×D17C2214yes—
206#125×D17C2212yes—
207#125×D17C2214yes—
208#125×D17C2214yes—
209#125×D17C2214yes—
210#125×D17C2212yes—
211#125×D17C2211yescharacteristic
212#125×D17C2214yes—
213#125×D17C2214yes—
214#125×D17C2212yescomplemented
215#125×D17C2212yescomplemented
216#125×D17C2212yescomplemented
217#125×D17C2212yescomplemented
218#124×D17C2211yescharacteristic
219#123×D17C2214yes—
220#123×D17C2214yes—
221#123×D17C2212yes—
222C22⋊Q8×D17C2214yes—
223C22⋊Q8×D17C2212yes—
224C22⋊Q8×D17C2214yes—
225C22⋊Q8×D17C2214yes—
226C22⋊Q8×D17C2212yes—
227C22⋊Q8×D17C2212yes—
228C22⋊Q8×D17C2211yescharacteristic
229C22⋊Q8×D17C2214yes—
230C22⋊Q8×D17C2212yes—
231#121×D17C2211yescharacteristic
232C4×Q8×D17C2211yescharacteristic
233C4×Q8×D17C2212yes—
234C4×Q8×D17C2214yes—
235C4×Q8×D17C2212yes—
236C4×Q8×D17C2212yes—
237C4×Q8×D17C2212yes—
238C4×D4×D17C2214yes—
239C4×D4×D17C2211yescharacteristic
240C4×D4×D17C2212yes—
241#117×D17C2212yes—
242#117×D17C2214yes—
243#117×D17C2214yes—
244#117×D17C2212yes—
245#117×D17C2212yes—
246C2×C4⋊C4×D17C2212yes—
247C2×C4⋊C4×D17C2212yes—
248C2×C4⋊C4×D17C2212yes—
249C2×C4⋊C4×D17C2211yescharacteristic
250C2×C4⋊C4×D17C2211yescharacteristic
251C2×C42×D17C2211yescharacteristic
252C17×#564C2212yescomplemented
253C17×#563C2212yescomplemented
254C17×#557C2212yescomplemented
255C17×#554C2212yescomplemented
256C17×#552C2214yescomplemented
257C17×#552C2212yescomplemented
258C17×#552C2212yescomplemented
259C17×#544C2212yescomplemented
260C17×#544C2212yescomplemented
261C17×#541C2214yescomplemented
262C17×#541C2212yescomplemented
263C17×#539C2212yes—
264C17×#533C2211yescharacteristic, complemented
265C17×#529C2211yescharacteristic
266C2×C17×#125C2211yescharacteristic, complemented
267C2×Q8×D17C2312yes—
268C2×Q8×D17C2314yes—
269C2×Q8×D17C2312yes—
270C2×Q8×D17C2311yescharacteristic
271C2×D4×D17C2312yes—
272C2×D4×D17C2311yescharacteristic
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2312yes—
276C22×C4×D17C2312yes—
277C22×C4×D17C2311yescharacteristic
278C22×C4×D17C2312yes—
279C22×C4×D17C2314yes—
280C17×C4⋊Q8C2311yescharacteristic
281C17×C4⋊Q8C2311yescharacteristic
282C17×C4⋊Q8C2314yes—
283C17×C4⋊Q8C2312yes—
284C17×C4⋊Q8C2314yes—
285C17×#126C2312yes—
286C17×#126C2314yes—
287C17×#126C2314yes—
288C17×#126C2314yes—
289C17×#126C2314yes—
290C17×#125C2314yes—
291C17×#125C2314yes—
292C17×#125C2314yes—
293C17×#125C2314yes—
294C17×#125C2312yes—
295C17×#125C2312yes—
296C17×#125C2312yes—
297C17×#125C2312yes—
298C17×#125C2311yescharacteristic
299C17×#125C2314yes—
300C17×#125C2312yes—
301C17×#125C2312yes—
302C17×#125C2314yes—
303C17×#125C2314yes—
304C17×#125C2314yes—
305C17×#124C2311yescharacteristic
306C17×#123C2312yes—
307C17×#123C2314yes—
308C17×#123C2314yes—
309C17×C22⋊Q8C2312yes—
310C17×C22⋊Q8C2312yes—
311C17×C22⋊Q8C2314yes—
312C17×C22⋊Q8C2311yescharacteristic
313C17×C22⋊Q8C2312yes—
314C17×C22⋊Q8C2312yes—
315C17×C22⋊Q8C2314yes—
316C17×C22⋊Q8C2314yes—
317C17×C22⋊Q8C2314yes—
318C17×#121C2311yescharacteristic
319C4×Q8×C17C2311yescharacteristic
320C4×Q8×C17C2312yes—
321C4×Q8×C17C2312yes—
322C4×Q8×C17C2314yes—
323C4×Q8×C17C2312yes—
324C4×Q8×C17C2312yes—
325C4×D4×C17C2311yescharacteristic
326C4×D4×C17C2312yes—
327C4×D4×C17C2314yes—
328C17×#117C2312yes—
329C17×#117C2314yes—
330C17×#117C2314yes—
331C17×#117C2312yes—
332C17×#117C2312yes—
333C2×C4⋊C4×C17C2312yes—
334C2×C4⋊C4×C17C2311yescharacteristic
335C2×C4⋊C4×C17C2312yes—
336C2×C4⋊C4×C17C2311yescharacteristic
337C2×C4⋊C4×C17C2312yes—
338C2×C42×C17C2311yescharacteristic
339#10587633C2311yescharacteristic
340#10587632C2312yes—
341#10587632C2314yes—
342#10587632C2312yes—
343#10587632C2312yes—
344#10587632C2314yes—
345#10587632C2314yes—
346#10587632C2311yescharacteristic
347#10587632C2312yes—
348#10587632C2314yes—
349Q8×Dic17C2314yes—
350Q8×Dic17C2312yes—
351Q8×Dic17C2312yes—
352Q8×Dic17C2312yes—
353Q8×Dic17C2311yescharacteristic
354Q8×Dic17C2312yes—
355#10587630C2314yes—
356#10587630C2314yes—
357#10587630C2314yes—
358#10587630C2312yes—
359#10587630C2312yes—
360#10587630C2314yes—
361#10587630C2314yes—
362#10587625C2312yes—
363#10587624C2311yescharacteristic
364#10587622C2311yescharacteristic
365#10587621C2312yes—
366#10587621C2314yes—
367#10587621C2314yes—
368D4×Dic17C2311yescharacteristic
369D4×Dic17C2314yes—
370D4×Dic17C2312yes—
371#10587616C2311yescharacteristic
372#10587615C2312yes—
373#10587615C2314yes—
374#10587615C2314yes—
375C4×C22⋊D17C2312yes—
376C4×C22⋊D17C2314yes—
377C4×C22⋊D17C2312yes—
378C4×C22⋊D17C2314yes—
379C4×C22⋊D17C2312yes—
380#10587612C2312yes—
381#10587612C2314yes—
382#10587612C2312yes—
383#10587612C2314yes—
384#10587612C2312yes—
385C2×C4⋊Dic17C2312yes—
386C2×C4⋊Dic17C2311yescharacteristic
387C2×C4⋊Dic17C2312yes—
388C2×C4⋊Dic17C2311yescharacteristic
389C2×C4⋊Dic17C2312yes—
390#10587610C2312yes—
391#10587610C2312yes—
392#10587610C2314yes—
393#10587610C2312yes—
394#10587610C2314yes—
395#10587610C2314yes—
396#10587610C2311yescharacteristic
397#10587610C2312yes—
398#10587610C2314yes—
399C2×#63225C2312yes—
400C2×#63225C2312yes—
401C2×#63225C2312yes—
402C2×#63225C2314yes—
403C2×#63225C2312yes—
404C2×#63225C2312yes—
405C2×#63225C2312yes—
406C2×C4×Dic17C2311yescharacteristic
407C2×C4×Dic17C2311yescharacteristic
408C2×C4×Dic17C2311yescharacteristic
409#10587584C2314yes—
410#10587584C2314yes—
411#10587584C2314yes—
412#10587584C2314yes—
413#10587584C2314yes—
414#10587584C2314yes—
415#10587584C2314yes—
416#10587584C2314yes—
417#10587584C2314yes—
418#10587584C2312yes—
419#10587584C2312yes—
420#10587584C2312yes—
421#10587584C2314yes—
422#10587584C2314yes—
423#10587584C2314yes—
424#10587583C2312yes—
425#10587583C2312yes—
426#10587583C2314yes—
427#10587583C2312yes—
428#10587583C2314yes—
429#10587583C2314yes—
430#10587583C2311yescharacteristic
431#10587583C2312yes—
432#10587583C2314yes—
433#10587582C2314yes—
434#10587582C2314yes—
435#10587582C2314yes—
436#10587582C2314yes—
437#10587582C2314yes—
438#10587582C2314yes—
439#10587582C2314yes—
440#10587582C2314yes—
441#10587582C2314yes—
442#10587582C2312yes—
443#10587582C2314yes—
444#10587582C2314yes—
445#10587582C2314yes—
446#10587581C2311yescharacteristic
447#10587580C2312yes—
448#10587580C2314yes—
449#10587580C2314yes—
450#10587580C2312yes—
451#10587580C2314yes—
452#10587580C2314yes—
453#10587579C2311yescharacteristic
454#10587579C2312yes—
455#10587579C2314yes—
456#10587578C2312yes—
457#10587578C2314yes—
458#10587578C2314yes—
459#10587578C2314yes—
460#10587578C2314yes—
461#10587578C2312yes—
462#10587578C2312yes—
463#10587578C2312yes—
464#10587578C2312yes—
465#10587578C2312yes—
466C4⋊C4×D17C2312yes—
467C4⋊C4×D17C2314yes—
468C4⋊C4×D17C2314yes—
469C4⋊C4×D17C2314yes—
470C4⋊C4×D17C2312yes—
471C4⋊C4×D17C2312yes—
472C4⋊C4×D17C2312yes—
473C4⋊C4×D17C2312yes—
474C4⋊C4×D17C2312yes—
475C4⋊C4×D17C2312yes—
476C4⋊C4×D17C2312yes—
477C4⋊C4×D17C2312yes—
478C4⋊C4×D17C2314yes—
479C4⋊C4×D17C2312yes—
480C4⋊C4×D17C2314yes—
481C4⋊C4×D17C2314yes—
482C4⋊C4×D17C2314yes—
483C4⋊C4×D17C2314yes—
484C4⋊C4×D17C2312yes—
485C4⋊C4×D17C2314yes—
486C4⋊C4×D17C2314yes—
487C4⋊C4×D17C2314yes—
488C4⋊C4×D17C2312yes—
489C4⋊C4×D17C2314yes—
490C4⋊C4×D17C2312yes—
491C4⋊C4×D17C2314yes—
492C4⋊C4×D17C2312yes—
493C4⋊C4×D17C2312yes—
494C4⋊C4×D17C2311yescharacteristic
495C4⋊C4×D17C2314yes—
496C4⋊C4×D17C2312yes—
497C4⋊C4×D17C2312yes—
498C4⋊C4×D17C2311yescharacteristic
499C4⋊C4×D17C2314yes—
500C4⋊C4×D17C2314yes—
501C4⋊C4×D17C2314yes—
502C4⋊C4×D17C2314yes—
503C4⋊C4×D17C2312yes—
504C4⋊C4×D17C2314yes—
505#10587576C2312yes—
506#10587576C2312yes—
507#10587576C2314yes—
508#10587576C2314yes—
509#10587576C2314yes—
510#10587576C2314yes—
511#10587576C2314yes—
512#10587576C2314yes—
513#10587576C2314yes—
514#10587576C2314yes—
515#10587576C2314yes—
516#10587576C2312yes—
517#10587576C2312yes—
518#10587576C2314yes—
519#10587576C2314yes—
520#10587576C2314yes—
521#10587576C2314yes—
522#10587576C2314yes—
523#10587576C2312yes—
524#10587576C2312yes—
525#10587576C2312yes—
526#10587576C2312yes—
527#10587576C2311yescharacteristic
528#10587576C2311yescharacteristic
529#10587576C2312yes—
530#10587576C2312yes—
531#10587576C2312yes—
532#10587576C2312yes—
533#10587576C2314yes—
534#10587576C2314yes—
535#10587575C2314yes—
536#10587575C2314yes—
537#10587575C2314yes—
538#10587575C2314yes—
539#10587575C2314yes—
540#10587575C2314yes—
541#10587575C2314yes—
542#10587575C2314yes—
543#10587575C2314yes—
544#10587575C2314yes—
545#10587575C2314yes—
546#10587575C2314yes—
547#10587575C2314yes—
548#10587575C2314yes—
549#10587575C2314yes—
550#10587575C2314yes—
551#10587575C2314yes—
552#10587575C2314yes—
553#10587575C2314yes—
554#10587575C2314yes—
555#10587575C2314yes—
556#10587575C2314yes—
557#10587575C2314yes—
558#10587575C2314yes—
559#10587575C2314yes—
560#10587575C2314yes—
561#10587575C2314yes—
562#10587575C2314yes—
563#10587575C2314yes—
564#10587575C2314yes—
565#10587575C2314yes—
566#10587575C2314yes—
567#10587575C2314yes—
568#10587575C2314yes—
569#10587575C2314yes—
570#10587575C2314yes—
571#10587575C2312yes—
572#10587575C2312yes—
573#10587575C2314yes—
574#10587575C2314yes—
575#10587575C2314yes—
576#10587575C2314yes—
577#10587575C2314yes—
578#10587575C2314yes—
579#10587575C2314yes—
580#10587575C2314yes—
581#10587574C2312yes—
582#10587574C2312yes—
583#10587574C2314yes—
584#10587574C2314yes—
585#10587574C2314yes—
586#10587574C2314yes—
587#10587574C2314yes—
588#10587574C2312yes—
589#10587574C2312yes—
590#10587574C2312yes—
591#10587574C2312yes—
592#10587574C2314yes—
593#10587574C2314yes—
594#10587574C2314yes—
595#10587574C2314yes—
596#10587573C2314yes—
597#10587573C2314yes—
598#10587573C2314yes—
599#10587573C2314yes—
600#10587573C2312yes—
601#10587573C2314yes—
602#10587573C2312yes—
603#10587573C2314yes—
604#10587573C2312yes—
605#10587573C2311yescharacteristic
606#10587573C2312yes—
607#10587573C2312yes—
608#10587573C2314yes—
609#10587572C2312yes—
610#10587572C2314yes—
611#10587572C2314yes—
612#10587571C2312yes—
613#10587571C2312yes—
614#10587570C2312yes—
615#10587569C2312yes—
616#10587569C2314yes—
617#10587569C2314yes—
618#10587569C2314yes—
619#10587569C2312yes—
620#10587569C2314yes—
621#10587567C2312yes—
622#10587567C2312yes—
623#10587567C2314yes—
624#10587567C2312yes—
625#10587567C2314yes—
626C22⋊C4×D17C2314yes—
627C22⋊C4×D17C2312yes—
628C22⋊C4×D17C2312yes—
629C22⋊C4×D17C2312yes—
630C22⋊C4×D17C2314yes—
631C22⋊C4×D17C2312yes—
632C22⋊C4×D17C2314yes—
633C22⋊C4×D17C2314yes—
634C22⋊C4×D17C2312yes—
635#10587565C2314yes—
636#10587565C2314yes—
637#10587565C2314yes—
638#10587565C2314yes—
639#10587565C2314yes—
640#10587565C2314yes—
641#10587565C2314yes—
642#10587565C2314yes—
643#10587565C2314yes—
644#10587565C2312yes—
645#10587565C2312yes—
646#10587565C2312yes—
647#10587565C2314yes—
648#10587565C2314yes—
649#10587565C2314yes—
650#10587564C2314yes—
651#10587564C2314yes—
652#10587564C2314yes—
653#10587564C2314yes—
654#10587564C2314yes—
655#10587564C2314yes—
656#10587564C2314yes—
657#10587564C2314yes—
658#10587564C2314yes—
659#10587564C2312yes—
660#10587564C2314yes—
661#10587564C2314yes—
662#10587564C2314yes—
663#10587563C2314yes—
664#10587563C2314yes—
665#10587563C2314yes—
666#10587563C2314yes—
667#10587563C2314yes—
668#10587563C2314yes—
669#10587563C2312yes—
670#10587563C2312yes—
671#10587562C2314yes—
672#10587562C2314yes—
673#10587562C2314yes—
674#10587562C2312yes—
675#10587562C2314yes—
676#10587561C2311yescharacteristic
677C4×D68C2311yescharacteristic
678C4×D68C2314yes—
679C4×D68C2312yes—
680#10587558C2314yes—
681#10587558C2314yes—
682#10587558C2314yes—
683#10587558C2314yes—
684#10587558C2314yes—
685#10587558C2314yes—
686#10587558C2312yes—
687#10587558C2312yes—
688C42×D17C2311yescharacteristic
689C42×D17C2311yescharacteristic
690C42×D17C2311yescharacteristic
691C42×D17C2311yescharacteristic
692C42×D17C2311yescharacteristic
693C42×D17C2311yescharacteristic
694C42×D17C2311yescharacteristic
695C42×D17C2311yescharacteristic
696C42×D17C2314yes—
697C42×D17C2314yes—
698C42×D17C2312yes—
699C42×D17C2314yes—
700C42×D17C2314yes—
701#10587556C2314yes—
702#10587556C2314yes—
703#10587556C2314yes—
704#10587556C2314yes—
705#10587556C2312yes—
706#10587556C2312yes—
707#10587556C2314yes—
708#10587556C2314yes—
709#10587556C2314yes—
710#10587556C2312yes—
711#10587556C2312yes—
712#10587556C2311yescharacteristic
713#10587556C2312yes—
714#10587556C2312yes—
715#10587556C2314yes—
716#10587555C2312yes—
717#10587555C2314yes—
718#10587555C2311yescharacteristic
719#10587555C2311yescharacteristic
720#10587555C2314yes—
721C4×Dic34C2314yes—
722C4×Dic34C2314yes—
723C4×Dic34C2314yes—
724C4×Dic34C2314yes—
725C4×Dic34C2312yes—
726C4×Dic34C2314yes—
727C4×Dic34C2312yes—
728C4×Dic34C2314yes—
729C4×Dic34C2312yes—
730C4×Dic34C2312yes—
731C4×Dic34C2311yescharacteristic
732C4×Dic34C2314yes—
733C4×Dic34C2312yes—
734C23×D17C2412yes—
735C23×D17C2411yescharacteristic
736C2×Q8×C17C2412yes—
737C2×Q8×C17C2414yes—
738C2×Q8×C17C2412yes—
739C2×Q8×C17C2411yescharacteristic
740C2×D4×C17C2412yes—
741C2×D4×C17C2411yescharacteristic
742C22×C4×C17C2411yescharacteristic
743C22×C4×C17C2412yes—
744C22×C4×C17C2411yescharacteristic
745C22×C4×C17C2412yes—
746C22×C4×C17C2414yes—
747C22×C4×C17C2411yescharacteristic
748C22×C4×C17C2412yes—
749C2×C22⋊D17C2412yes—
750C2×C22⋊D17C2412yes—
751C2×C22⋊D17C2412yes—
752C22×Dic17C2412yes—
753C22×Dic17C2411yescharacteristic
754C22×Dic17C2412yes—
755C22×Dic17C2411yescharacteristic
756C22×Dic17C2414yes—
757C22×Dic17C2411yescharacteristic
758C22×Dic17C2412yes—
759Q8×D17—28no—
760Q8×D17—48no—
761Q8×D17—42no—
762Q8×D17—44no—
763D4×D17—28no—
764D4×D17—42no—
765C2×D68C2412yes—
766C2×D68C2411yescharacteristic
767C2×C4×D17—24no—
768C2×C4×D17—28no—
769C2×C4×D17—24no—
770C2×C4×D17—28no—
771C2×C4×D17—44no—
772C2×C4×D17—48no—
773C2×C4×D17—42no—
774C2×C4×D17C2414yes—
775C2×C4×D17C2411yescharacteristic
776C2×C4×D17C2411yescharacteristic
777C2×C4×D17C2414yes—
778C2×C4×D17C2411yescharacteristic
779C2×C4×D17C2411yescharacteristic
780C2×C4×D17C2411yescharacteristic
781C2×C4×D17C2411yescharacteristic
782C2×C4×D17C2411yescharacteristic
783C2×C4×D17C2414yes—
784C2×C4×D17C2412yes—
785C2×C4×D17C2411yescharacteristic
786C2×C4×D17C2411yescharacteristic
787C2×C4×D17C2412yes—
788C2×C4×D17C2412yes—
789C2×C4×D17C2414yes—
790C2×C4×D17C2412yes—
791C2×C4×D17C2412yes—
792C2×C4×D17C2414yes—
793C2×C4×D17C2411yescharacteristic
794C2×C4×D17C2411yescharacteristic
795C2×C4×D17C2414yes—
796C2×C4×D17C2414yes—
797C2×C4×D17C2414yes—
798C2×C4×D17C2411yescharacteristic
799C2×Dic34C2412yes—
800C2×Dic34C2414yes—
801C2×Dic34C2414yes—
802C2×Dic34C2412yes—
803C2×Dic34C2414yes—
804C2×Dic34C2414yes—
805C2×Dic34C2412yes—
806C2×Dic34C2411yescharacteristic
807C2×Dic34C2414yes—
808C4⋊C4×C17C2414yes—
809C4⋊C4×C17C2412yes—
810C4⋊C4×C17C2414yes—
811C4⋊C4×C17C2412yes—
812C4⋊C4×C17C2414yes—
813C4⋊C4×C17C2414yes—
814C4⋊C4×C17C2414yes—
815C4⋊C4×C17C2411yescharacteristic
816C4⋊C4×C17C2414yes—
817C4⋊C4×C17C2414yes—
818C4⋊C4×C17C2414yes—
819C4⋊C4×C17C2414yes—
820C4⋊C4×C17C2414yes—
821C4⋊C4×C17C2412yes—
822C4⋊C4×C17C2412yes—
823C4⋊C4×C17C2414yes—
824C4⋊C4×C17C2412yes—
825C4⋊C4×C17C2412yes—
826C4⋊C4×C17C2412yes—
827C4⋊C4×C17C2412yes—
828C4⋊C4×C17C2414yes—
829C4⋊C4×C17C2414yes—
830C4⋊C4×C17C2412yes—
831C4⋊C4×C17C2412yes—
832C4⋊C4×C17C2411yescharacteristic
833C4⋊C4×C17C2412yes—
834C4⋊C4×C17C2412yes—
835C4⋊C4×C17C2414yes—
836C22⋊C4×C17C2414yes—
837C22⋊C4×C17C2412yes—
838C22⋊C4×C17C2414yes—
839C22⋊C4×C17C2412yes—
840C22⋊C4×C17C2414yes—
841C22⋊C4×C17C2412yes—
842C22⋊C4×C17C2412yes—
843C22⋊C4×C17C2414yes—
844C22⋊C4×C17C2412yes—
845C42×C17C2411yescharacteristic
846C42×C17C2414yes—
847C42×C17C2414yes—
848C42×C17C2411yescharacteristic
849C42×C17C2411yescharacteristic
850C42×C17C2411yescharacteristic
851C42×C17C2414yes—
852C42×C17C2414yes—
853C42×C17C2412yes—
854C22⋊Dic17C2412yes—
855C22⋊Dic17C2414yes—
856C22⋊Dic17C2412yes—
857C22⋊Dic17C2412yes—
858C22⋊Dic17C2414yes—
859C22⋊Dic17C2412yes—
860C22⋊Dic17C2414yes—
861C22⋊Dic17C2414yes—
862C22⋊Dic17C2412yes—
863#63227C2412yes—
864#63227C2414yes—
865#63227C2412yes—
866#63227C2412yes—
867#63227C2414yes—
868#63227C2412yes—
869#63227C2412yes—
870#63227C2414yes—
871#63227C2412yes—
872#63227C2412yes—
873#63227C2414yes—
874#63227C2412yes—
875#63227C2414yes—
876#63227C2414yes—
877#63227C2412yes—
878#63227C2414yes—
879#63227C2412yes—
880#63227C2414yes—
881C4⋊Dic17C2412yes—
882C4⋊Dic17C2412yes—
883C4⋊Dic17C2412yes—
884C4⋊Dic17C2414yes—
885C4⋊Dic17C2414yes—
886C4⋊Dic17C2412yes—
887C4⋊Dic17C2412yes—
888C4⋊Dic17C2414yes—
889C4⋊Dic17C2414yes—
890C4⋊Dic17C2414yes—
891C4⋊Dic17C2411yescharacteristic
892C4⋊Dic17C2414yes—
893C4⋊Dic17C2414yes—
894C4⋊Dic17C2412yes—
895C4⋊Dic17C2414yes—
896C4⋊Dic17C2412yes—
897C4⋊Dic17C2414yes—
898C4⋊Dic17C2414yes—
899C4⋊Dic17C2412yes—
900C4⋊Dic17C2414yes—
901C4⋊Dic17C2412yes—
902C4⋊Dic17C2412yes—
903C4⋊Dic17C2414yes—
904C4⋊Dic17C2412yes—
905C4⋊Dic17C2412yes—
906C4⋊Dic17C2411yescharacteristic
907C4⋊Dic17C2414yes—
908C4⋊Dic17C2414yes—
909#63225C2412yes—
910#63225C2412yes—
911#63225C2414yes—
912#63225C2414yes—
913#63225C2412yes—
914#63225C2414yes—
915#63225C2414yes—
916#63225C2414yes—
917#63225C2414yes—
918#63225C2414yes—
919#63225C2414yes—
920#63225C2414yes—
921#63225C2414yes—
922#63225C2414yes—
923#63225C2414yes—
924#63225C2414yes—
925#63225C2414yes—
926#63225C2414yes—
927#63225C2414yes—
928#63225C2414yes—
929#63225C2412yes—
930#63225C2412yes—
931#63225C2414yes—
932#63225C2414yes—
933#63225C2414yes—
934#63225C2412yes—
935#63225C2412yes—
936#63225C2414yes—
937#63225C2414yes—
938#63225C2414yes—
939#63225C2414yes—
940#63225C2414yes—
941#63225C2414yes—
942#63225C2414yes—
943#63225C2414yes—
944#63225C2412yes—
945#63225C2414yes—
946#63225C2414yes—
947#63225C2414yes—
948#63225C2412yes—
949#63225C2414yes—
950#63225C2414yes—
951#63225C2414yes—
952#63225C2414yes—
953#63225C2412yes—
954#63225C2414yes—
955C4×Dic17C2411yescharacteristic
956C4×Dic17C2411yescharacteristic
957C4×Dic17C2414yes—
958C4×Dic17C2411yescharacteristic
959C4×Dic17C2412yes—
960C4×Dic17C2414yes—
961C4×Dic17C2414yes—
962C4×Dic17C2414yes—
963C4×Dic17C2412yes—
964C4×Dic17C2412yes—
965C4×Dic17C2414yes—
966C4×Dic17C2414yes—
967C4×Dic17C2411yescharacteristic
968C4×Dic17C2411yescharacteristic
969C4×Dic17C2411yescharacteristic
970C4×Dic17C2411yescharacteristic
971C4×Dic17C2411yescharacteristic
972C4×Dic17C2411yescharacteristic
973C4×Dic17C2411yescharacteristic
974C4×Dic17C2411yescharacteristic
975C4×Dic17C2411yescharacteristic
976C4×Dic17C2414yes—
977C4×Dic17C2414yes—
978C4×Dic17C2414yes—
979C4×Dic17C2414yes—
980C4×Dic17C2414yes—
981C4×Dic17C2414yes—
982C2×#3563—171nomaximal, Sylow
983C23×C17C2512yes—
984C23×C17C2511yescharacteristic
985C22×D17—22no—
986C22×D17—22no—
987C22×D17—24no—
988C22×D17—24no—
989C22×D17—24no—
990C22×D172−1+414yes—
991C22×D17C2512yes—
992C22×D17C2511yescharacteristic
993C22×D17C2511yescharacteristic
994Q8×C17—24no—
995Q8×C17—41no—
996Q8×C17—44no—
997Q8×C17—42no—
998D4×C17—24no—
999D4×C17—41no—
1000C2×C4×C17—22no—
1001C2×C4×C17—24no—
1002C2×C4×C17—22no—
1003C2×C4×C17—24no—
1004C2×C4×C17—44no—
1005C2×C4×C17—41no—
1006C2×C4×C17—42no—
1007C2×C4×C17C2511yescharacteristic
1008C2×C4×C17C2514yes—
1009C2×C4×C17C2512yes—
1010C2×C4×C17C2512yes—
1011C2×C4×C17C2511yescharacteristic
1012C2×C4×C17C2511yescharacteristic
1013C2×C4×C17C2512yes—
1014C2×C4×C17C2514yes—
1015C2×C4×C17C2514yes—
1016C2×C4×C17C2511yescharacteristic
1017C2×C4×C17C2511yescharacteristic
1018C2×C4×C17C2514yes—
1019C2×C4×C17C2511yescharacteristic
1020C22⋊D17—24no—
1021C22⋊D17—24no—
1022C22⋊D17—42no—
1023C2×Dic17—22no—
1024C2×Dic17—24no—
1025C2×Dic17—22no—
1026C2×Dic17—24no—
1027C2×Dic17—44no—
1028C2×Dic17—41no—
1029C2×Dic17—42no—
1030C2×Dic17C2512yes—
1031C2×Dic17C2514yes—
1032C2×Dic17C2514yes—
1033C2×Dic17C2511yescharacteristic
1034C2×Dic17C2511yescharacteristic
1035C2×Dic17C2512yes—
1036C2×Dic17C2514yes—
1037C2×Dic17C2511yescharacteristic
1038C2×Dic17C2511yescharacteristic
1039C2×Dic17C2514yes—
1040C2×Dic17C2512yes—
1041C2×Dic17C2511yescharacteristic
1042C2×Dic17C2511yescharacteristic
1043D68—24no—
1044D68—41no—
1045C4×D17—22no—
1046C4×D17—22no—
1047C4×D17—28no—
1048C4×D17—22no—
1049C4×D17—22no—
1050C4×D17—28no—
1051C4×D17—22no—
1052C4×D17—24no—
1053C4×D17—24no—
1054C4×D17—28no—
1055C4×D17—28no—
1056C4×D17—22no—
1057C4×D17—28no—
1058C4×D17—22no—
1059C4×D17—24no—
1060C4×D17—22no—
1061C4×D17—24no—
1062C4×D17—22no—
1063C4×D17—24no—
1064C4×D17—44no—
1065C4×D17—41no—
1066C4×D17—44no—
1067C4×D17—44no—
1068C4×D17—41no—
1069C4×D172−1+414yes—
1070Dic34—24no—
1071Dic34—28no—
1072Dic34—41no—
1073Dic34—44no—
1074Dic34—44no—
1075Dic34—42no—
1076Dic34—44no—
1077Dic34—42no—
1078Dic34—44no—
1079#3563—172no—
1080#3563—172no—
1081#3563—172no—
1082#3563—172no—
1083#3563—174no—
1084#3563—172no—
1085#3563—172no—
1086#3563—172no—
1087#3563—172no—
1088#3563—174no—
1089#3563—172no—
1090#3563—172no—
1091#3563—171no—
1092#3563—171no—
1093#3563—171no—
1094#3563D1711yescharacteristic, direct product factor
1095C2×#564—172no—
1096C2×#563—172no—
1097C2×#557—172no—
1098C2×#554—172no—
1099C2×#552—174no—
1100C2×#552—172no—
1101C2×#552—172no—
1102C2×#544—172no—
1103C2×#544—172no—
1104C2×#541—172no—
1105C2×#541—174no—
1106C2×#539—172no—
1107C2×#533—171no—
1108C2×#529—171no—
1109C22×#125—171no—
1110C22×C17—21no—
1111C22×C17—21no—
1112C22×C17—22no—
1113C22×C17—22no—
1114C22×C17—22no—
1115C22×C17C2×2−1+412yes—
1116C22×C17C2611yescharacteristic
1117C2×D17—21no—
1118C2×D17—21no—
1119C2×D17—28no—
1120C2×D17—22no—
1121C2×D17—22no—
1122C2×D17—22no—
1123C2×D17—48no—
1124C2×D17C2×2−1+412yes—
1125C2×D17C2×2−1+412yes—
1126C2×D17C2×2−1+412yes—
1127C2×D17#58512yes—
1128C4×C17—24no—
1129C4×C17—21no—
1130C4×C17—21no—
1131C4×C17—24no—
1132C4×C17—21no—
1133C4×C17—22no—
1134C4×C17—22no—
1135C4×C17—22no—
1136C4×C17—24no—
1137C4×C17—21no—
1138C4×C17—24no—
1139C4×C17—21no—
1140C4×C17C2×2−1+412yes—
1141Dic17—24no—
1142Dic17—21no—
1143Dic17—21no—
1144Dic17—24no—
1145Dic17—21no—
1146Dic17—22no—
1147Dic17—22no—
1148Dic17—22no—
1149Dic17—24no—
1150Dic17—21no—
1151Dic17—24no—
1152Dic17—21no—
1153Dic17C2×2−1+412yes—
1154#564—174no—
1155#564—174no—
1156#564—174no—
1157#564—174no—
1158#564—174no—
1159#564—174no—
1160#564—172no—
1161#564—172no—
1162#564—172no—
1163#564C2×D1712yescomplemented
1164#563—174no—
1165#563—174no—
1166#563—174no—
1167#563—172no—
1168#563—172no—
1169#563—172no—
1170#563—174no—
1171#563—174no—
1172#563—174no—
1173#563C2×D1712yescomplemented
1174#557—174no—
1175#557—172no—
1176#557—174no—
1177#557—174no—
1178#557—172no—
1179#557—172no—
1180#557—172no—
1181#557—172no—
1182#557—174no—
1183#557—172no—
1184#557—172no—
1185#557C2×D1712yescomplemented
1186#554—172no—
1187#554—174no—
1188#554—174no—
1189#554—174no—
1190#554—172no—
1191#554—172no—
1192#554—172no—
1193#554—172no—
1194#554—174no—
1195#554—172no—
1196#554—172no—
1197#554C2×D1712yescomplemented
1198#552—174no—
1199#552—174no—
1200#552—174no—
1201#552—174no—
1202#552—174no—
1203#552—174no—
1204#552—174no—
1205#552—174no—
1206#552—174no—
1207#552—172no—
1208#552—172no—
1209#552—174no—
1210#552—174no—
1211#552—174no—
1212#552—174no—
1213#552—174no—
1214#552—172no—
1215#552—172no—
1216#552—174no—
1217#552—172no—
1218#552—172no—
1219#552—174no—
1220#552—172no—
1221#552—172no—
1222#552—174no—
1223#552—172no—
1224#552—172no—
1225#552—174no—
1226#552—174no—
1227#552—174no—
1228#552—174no—
1229#552—174no—
1230#552—172no—
1231#552—172no—
1232#552—174no—
1233#552—172no—
1234#552—172no—
1235#552C2×D1714yescomplemented
1236#552C2×D1712yescomplemented
1237#552C2×D1712yescomplemented
1238#544—174no—
1239#544—174no—
1240#544—174no—
1241#544—172no—
1242#544—172no—
1243#544—174no—
1244#544—174no—
1245#544—174no—
1246#544—172no—
1247#544—172no—
1248#544—172no—
1249#544—172no—
1250#544—174no—
1251#544—174no—
1252#544—174no—
1253#544—174no—
1254#544—172no—
1255#544—172no—
1256#544—172no—
1257#544—172no—
1258#544C2×D1712yescomplemented
1259#544C2×D1712yescomplemented
1260#541—172no—
1261#541—174no—
1262#541—174no—
1263#541—174no—
1264#541—174no—
1265#541—174no—
1266#541—174no—
1267#541—174no—
1268#541—174no—
1269#541—174no—
1270#541—174no—
1271#541—174no—
1272#541—174no—
1273#541—174no—
1274#541—172no—
1275#541—174no—
1276#541—172no—
1277#541—172no—
1278#541—174no—
1279#541—174no—
1280#541—172no—
1281#541—172no—
1282#541—174no—
1283#541—174no—
1284#541—172no—
1285#541—174no—
1286#541C2×D1712yescomplemented
1287#541C2×D1714yescomplemented
1288#539—174no—
1289#539—174no—
1290#539—174no—
1291#539—174no—
1292#539—174no—
1293#539—172no—
1294#539—172no—
1295#539—174no—
1296#539—172no—
1297#539C2×D1712yes—
1298#533—171no—
1299#533—171no—
1300#533—172no—
1301#533—172no—
1302#533—172no—
1303#533—172no—
1304#533—172no—
1305#533—172no—
1306#533—171no—
1307#533C2×D1711yescharacteristic, complemented
1308C2×C4⋊Q8—171no—
1309C2×C4⋊Q8—171no—
1310C2×C4⋊Q8—174no—
1311C2×C4⋊Q8—172no—
1312C2×C4⋊Q8—174no—
1313#529—172no—
1314#529—171no—
1315#529—171no—
1316#529—172no—
1317#529—171no—
1318#529—171no—
1319#529—171no—
1320#529—172no—
1321#529—171no—
1322#529—172no—
1323#529—171no—
1324#529C2×D1711yescharacteristic
1325C2×#126—172no—
1326C2×#126—174no—
1327C2×#126—174no—
1328C2×#126—174no—
1329C2×#126—174no—
1330C2×#125—172no—
1331C2×#125—172no—
1332C2×#125—172no—
1333C2×#125—172no—
1334C2×#125—172no—
1335C2×#125—172no—
1336C2×#125—172no—
1337C2×#125—172no—
1338C2×#125—171no—
1339C2×#125—172no—
1340C2×#125—174no—
1341C2×#125—174no—
1342C2×#125—174no—
1343C2×#125—174no—
1344C2×#125—174no—
1345C2×#125—174no—
1346C2×#125—172no—
1347C2×#125—174no—
1348C2×#125—174no—
1349C2×#125—172no—
1350C2×#125—172no—
1351C2×#125—171no—
1352C2×#125—171no—
1353C2×#125—171no—
1354C2×#125C2×D1711yescharacteristic, complemented
1355C2×#124—171no—
1356C2×#123—172no—
1357C2×#123—174no—
1358C2×#123—174no—
1359C2×C22⋊Q8—171no—
1360C2×C22⋊Q8—172no—
1361C2×C22⋊Q8—172no—
1362C2×C22⋊Q8—174no—
1363C2×C22⋊Q8—172no—
1364C2×C22⋊Q8—172no—
1365C2×C22⋊Q8—174no—
1366C2×C22⋊Q8—174no—
1367C2×C22⋊Q8—174no—
1368C2×#121—171no—
1369C2×C4×Q8—171no—
1370C2×C4×Q8—172no—
1371C2×C4×Q8—172no—
1372C2×C4×Q8—174no—
1373C2×C4×Q8—172no—
1374C2×C4×Q8—172no—
1375C2×C4×D4—171no—
1376C2×C4×D4—172no—
1377C2×C4×D4—174no—
1378C2×#117—172no—
1379C2×#117—172no—
1380C2×#117—174no—
1381C2×#117—172no—
1382C2×#117—174no—
1383C22×C4⋊C4—172no—
1384C22×C4⋊C4—171no—
1385C22×C4⋊C4—172no—
1386C22×C4⋊C4—171no—
1387C22×C4⋊C4—172no—
1388C22×C42—171no—
1389C2×C17—22no—
1390C2×C17—42no—
1391C2×C17C22×2−1+411yescharacteristic
1392C2×C17C22×2−1+411yescharacteristic
1393C2×C17C2×#58511yescharacteristic
1394D17—22no—
1395D17—42no—
1396D17#356314yesdirect product factor
1397C22×Q8—172no—
1398C22×Q8—174no—
1399C22×Q8—172no—
1400C22×Q8—171no—
1401C22×D4—172no—
1402C22×D4—171no—
1403C23×C4—172no—
1404C23×C4—171no—
1405C23×C4—171no—
1406C23×C4—172no—
1407C23×C4—172no—
1408C23×C4—171no—
1409C23×C4—174no—
1410C4⋊Q8—172no—
1411C4⋊Q8—172no—
1412C4⋊Q8—174no—
1413C4⋊Q8—174no—
1414C4⋊Q8—174no—
1415C4⋊Q8—174no—
1416C4⋊Q8—174no—
1417C4⋊Q8—172no—
1418C4⋊Q8—172no—
1419C4⋊Q8—172no—
1420C4⋊Q8—172no—
1421C4⋊Q8—174no—
1422C4⋊Q8—174no—
1423C4⋊Q8—174no—
1424C4⋊Q8—174no—
1425C4⋊Q8—174no—
1426C4⋊Q8—172no—
1427C4⋊Q8—172no—
1428C4⋊Q8—174no—
1429C4⋊Q8—174no—
1430C4⋊Q8—174no—
1431C4⋊Q8—174no—
1432C4⋊Q8—171no—
1433C4⋊Q8—171no—
1434C4⋊Q8—174no—
1435C4⋊Q8—172no—
1436C4⋊Q8—174no—
1437C4⋊Q8C22×D1711yescharacteristic
1438C4⋊Q8C22×D1711yescharacteristic
1439C4⋊Q8C22×D1714yes—
1440C4⋊Q8C22×D1712yes—
1441C4⋊Q8C22×D1714yes—
1442#126—172no—
1443#126—172no—
1444#126—172no—
1445#126—174no—
1446#126—174no—
1447#126—174no—
1448#126—174no—
1449#126—174no—
1450#126—174no—
1451#126—174no—
1452#126—174no—
1453#126—174no—
1454#126—174no—
1455#126—174no—
1456#126—174no—
1457#126—172no—
1458#126—172no—
1459#126—172no—
1460#126—174no—
1461#126—174no—
1462#126—174no—
1463#126—174no—
1464#126—174no—
1465#126—174no—
1466#126—174no—
1467#126—174no—
1468#126—174no—
1469#126—174no—
1470#126—174no—
1471#126—174no—
1472#126—172no—
1473#126—174no—
1474#126—174no—
1475#126—174no—
1476#126—174no—
1477#126C22×D1712yes—
1478#126C22×D1714yes—
1479#126C22×D1714yes—
1480#126C22×D1714yes—
1481#126C22×D1714yes—
1482#125—174no—
1483#125—174no—
1484#125—172no—
1485#125—172no—
1486#125—174no—
1487#125—174no—
1488#125—172no—
1489#125—172no—
1490#125—174no—
1491#125—174no—
1492#125—172no—
1493#125—172no—
1494#125—174no—
1495#125—174no—
1496#125—172no—
1497#125—172no—
1498#125—172no—
1499#125—172no—
1500#125—171no—
1501#125—171no—
1502#125—174no—
1503#125—174no—
1504#125—172no—
1505#125—172no—
1506#125—174no—
1507#125—174no—
1508#125—174no—
1509#125—174no—
1510#125—174no—
1511#125—174no—
1512#125—174no—
1513#125—174no—
1514#125—174no—
1515#125—174no—
1516#125—174no—
1517#125—174no—
1518#125—174no—
1519#125—174no—
1520#125—174no—
1521#125—174no—
1522#125—174no—
1523#125—174no—
1524#125—174no—
1525#125—174no—
1526#125—174no—
1527#125—174no—
1528#125—174no—
1529#125—174no—
1530#125—174no—
1531#125—174no—
1532#125—174no—
1533#125—174no—
1534#125—174no—
1535#125—174no—
1536#125—174no—
1537#125—174no—
1538#125—174no—
1539#125—174no—
1540#125—174no—
1541#125—174no—
1542#125—174no—
1543#125—174no—
1544#125—172no—
1545#125—172no—
1546#125—174no—
1547#125—174no—
1548#125—174no—
1549#125—174no—
1550#125—174no—
1551#125—174no—
1552#125—174no—
1553#125—174no—
1554#125—174no—
1555#125—174no—
1556#125—174no—
1557#125—174no—
1558#125—172no—
1559#125—172no—
1560#125—172no—
1561#125—172no—
1562#125—171no—
1563#125—172no—
1564#125—174no—
1565#125—174no—
1566#125—174no—
1567#125—174no—
1568#125—174no—
1569#125—174no—
1570#125—172no—
1571#125—174no—
1572#125—174no—
1573#125C22×D1712yes—
1574#125C22×D1712yes—
1575#125C22×D1712yes—
1576#125C22×D1712yes—
1577#125C22×D1711yescharacteristic
1578#125C22×D1712yes—
1579#125C22×D1714yes—
1580#125C22×D1714yes—
1581#125C22×D1714yes—
1582#125C22×D1714yes—
1583#125C22×D1714yes—
1584#125C22×D1714yes—
1585#125C22×D1712yes—
1586#125C22×D1714yes—
1587#125C22×D1714yes—
1588#124—171no—
1589#124—171no—
1590#124—172no—
1591#124—172no—
1592#124—171no—
1593#124C22×D1711yescharacteristic
1594#123—172no—
1595#123—174no—
1596#123—174no—
1597#123—172no—
1598#123—174no—
1599#123—174no—
1600#123—172no—
1601#123—172no—
1602#123—174no—
1603#123—174no—
1604#123—174no—
1605#123—174no—
1606#123—172no—
1607#123—172no—
1608#123—172no—
1609#123—174no—
1610#123—174no—
1611#123—174no—
1612#123—174no—
1613#123—174no—
1614#123—174no—
1615#123C22×D1712yes—
1616#123C22×D1714yes—
1617#123C22×D1714yes—
1618C22⋊Q8—171no—
1619C22⋊Q8—172no—
1620C22⋊Q8—172no—
1621C22⋊Q8—174no—
1622C22⋊Q8—172no—
1623C22⋊Q8—172no—
1624C22⋊Q8—174no—
1625C22⋊Q8—174no—
1626C22⋊Q8—174no—
1627C22⋊Q8—171no—
1628C22⋊Q8—172no—
1629C22⋊Q8—172no—
1630C22⋊Q8—174no—
1631C22⋊Q8—172no—
1632C22⋊Q8—172no—
1633C22⋊Q8—174no—
1634C22⋊Q8—174no—
1635C22⋊Q8—174no—
1636C22⋊Q8—172no—
1637C22⋊Q8—171no—
1638C22⋊Q8—174no—
1639C22⋊Q8—172no—
1640C22⋊Q8—174no—
1641C22⋊Q8—172no—
1642C22⋊Q8—174no—
1643C22⋊Q8—174no—
1644C22⋊Q8—174no—
1645C22⋊Q8—174no—
1646C22⋊Q8—172no—
1647C22⋊Q8—174no—
1648C22⋊Q8—172no—
1649C22⋊Q8—174no—
1650C22⋊Q8—174no—
1651C22⋊Q8—174no—
1652C22⋊Q8—174no—
1653C22⋊Q8—174no—
1654C22⋊Q8—174no—
1655C22⋊Q8—174no—
1656C22⋊Q8—174no—
1657C22⋊Q8—174no—
1658C22⋊Q8—172no—
1659C22⋊Q8—174no—
1660C22⋊Q8—174no—
1661C22⋊Q8—174no—
1662C22⋊Q8—174no—
1663C22⋊Q8—174no—
1664C22⋊Q8—174no—
1665C22⋊Q8—174no—
1666C22⋊Q8—174no—
1667C22⋊Q8—174no—
1668C22⋊Q8—174no—
1669C22⋊Q8—174no—
1670C22⋊Q8—174no—
1671C22⋊Q8C22×D1711yescharacteristic
1672C22⋊Q8C22×D1712yes—
1673C22⋊Q8C22×D1712yes—
1674C22⋊Q8C22×D1714yes—
1675C22⋊Q8C22×D1712yes—
1676C22⋊Q8C22×D1712yes—
1677C22⋊Q8C22×D1714yes—
1678C22⋊Q8C22×D1714yes—
1679C22⋊Q8C22×D1714yes—
1680#121—171no—
1681#121—172no—
1682#121—171no—
1683#121—171no—
1684#121—172no—
1685#121C22×D1711yescharacteristic
1686C4×Q8—171no—
1687C4×Q8—172no—
1688C4×Q8—172no—
1689C4×Q8—174no—
1690C4×Q8—172no—
1691C4×Q8—172no—
1692C4×Q8—171no—
1693C4×Q8—172no—
1694C4×Q8—172no—
1695C4×Q8—174no—
1696C4×Q8—174no—
1697C4×Q8—172no—
1698C4×Q8—174no—
1699C4×Q8—174no—
1700C4×Q8—174no—
1701C4×Q8—174no—
1702C4×Q8—172no—
1703C4×Q8—174no—
1704C4×Q8—172no—
1705C4×Q8—172no—
1706C4×Q8—171no—
1707C4×Q8—174no—
1708C4×Q8—172no—
1709C4×Q8—174no—
1710C4×Q8—172no—
1711C4×Q8—174no—
1712C4×Q8—174no—
1713C4×Q8—174no—
1714C4×Q8—172no—
1715C4×Q8—174no—
1716C4×Q8—174no—
1717C4×Q8—172no—
1718C4×Q8C22×D1711yescharacteristic
1719C4×Q8C22×D1712yes—
1720C4×Q8C22×D1712yes—
1721C4×Q8C22×D1714yes—
1722C4×Q8C22×D1712yes—
1723C4×Q8C22×D1712yes—
1724C4×D4—171no—
1725C4×D4—172no—
1726C4×D4—174no—
1727C4×D4—172no—
1728C4×D4—172no—
1729C4×D4—172no—
1730C4×D4—174no—
1731C4×D4—174no—
1732C4×D4—171no—
1733C4×D4—172no—
1734C4×D4—174no—
1735C4×D4—172no—
1736C4×D4—172no—
1737C4×D4—172no—
1738C4×D4—174no—
1739C4×D4—174no—
1740C4×D4—171no—
1741C4×D4—172no—
1742C4×D4—174no—
1743C4×D4C22×D1711yescharacteristic
1744C4×D4C22×D1712yes—
1745C4×D4C22×D1714yes—
1746#117—172no—
1747#117—172no—
1748#117—174no—
1749#117—172no—
1750#117—174no—
1751#117—172no—
1752#117—172no—
1753#117—172no—
1754#117—172no—
1755#117—174no—
1756#117—174no—
1757#117—172no—
1758#117—172no—
1759#117—174no—
1760#117—174no—
1761#117—172no—
1762#117—172no—
1763#117—174no—
1764#117—174no—
1765#117—174no—
1766#117—174no—
1767#117—174no—
1768#117—174no—
1769#117—172no—
1770#117—172no—
1771#117—174no—
1772#117—174no—
1773#117—174no—
1774#117—174no—
1775#117—174no—
1776#117—174no—
1777#117C22×D1712yes—
1778#117C22×D1712yes—
1779#117C22×D1714yes—
1780#117C22×D1712yes—
1781#117C22×D1714yes—
1782C2×C4⋊C4—172no—
1783C2×C4⋊C4—172no—
1784C2×C4⋊C4—172no—
1785C2×C4⋊C4—172no—
1786C2×C4⋊C4—172no—
1787C2×C4⋊C4—172no—
1788C2×C4⋊C4—171no—
1789C2×C4⋊C4—172no—
1790C2×C4⋊C4—172no—
1791C2×C4⋊C4—171no—
1792C2×C4⋊C4—174no—
1793C2×C4⋊C4—172no—
1794C2×C4⋊C4—172no—
1795C2×C4⋊C4—172no—
1796C2×C4⋊C4—172no—
1797C2×C4⋊C4—174no—
1798C2×C4⋊C4—172no—
1799C2×C4⋊C4—174no—
1800C2×C4⋊C4—174no—
1801C2×C4⋊C4—174no—
1802C2×C4⋊C4—174no—
1803C2×C4⋊C4—172no—
1804C2×C4⋊C4—174no—
1805C2×C4⋊C4—174no—
1806C2×C4⋊C4—172no—
1807C2×C4⋊C4—172no—
1808C2×C4⋊C4—174no—
1809C2×C4⋊C4—174no—
1810C2×C4⋊C4—172no—
1811C2×C4⋊C4—172no—
1812C2×C4⋊C4—174no—
1813C2×C4⋊C4—172no—
1814C2×C4⋊C4—172no—
1815C2×C4⋊C4—174no—
1816C2×C4⋊C4—172no—
1817C2×C4⋊C4—174no—
1818C2×C4⋊C4—172no—
1819C2×C4⋊C4—174no—
1820C2×C4⋊C4—172no—
1821C2×C4⋊C4—172no—
1822C2×C4⋊C4—171no—
1823C2×C4⋊C4—174no—
1824C2×C4⋊C4—172no—
1825C2×C4⋊C4—172no—
1826C2×C4⋊C4—171no—
1827C2×C4⋊C4—174no—
1828C2×C4⋊C4—174no—
1829C2×C4⋊C4—174no—
1830C2×C4⋊C4—174no—
1831C2×C4⋊C4—172no—
1832C2×C4⋊C4—174no—
1833C2×C4⋊C4C22×D1712yes—
1834C2×C4⋊C4C22×D1711yescharacteristic
1835C2×C4⋊C4C22×D1712yes—
1836C2×C4⋊C4C22×D1711yescharacteristic
1837C2×C4⋊C4C22×D1712yes—
1838C2×C22⋊C4—174no—
1839C2×C22⋊C4—172no—
1840C2×C22⋊C4—172no—
1841C2×C22⋊C4—172no—
1842C2×C22⋊C4—174no—
1843C2×C22⋊C4—172no—
1844C2×C22⋊C4—174no—
1845C2×C22⋊C4—174no—
1846C2×C22⋊C4—172no—
1847C2×C42—171no—
1848C2×C42—171no—
1849C2×C42—171no—
1850C2×C42—174no—
1851C2×C42—174no—
1852C2×C42—171no—
1853C2×C42—172no—
1854C2×C42—174no—
1855C2×C42—171no—
1856C2×C42—174no—
1857C2×C42—171no—
1858C2×C42—171no—
1859C2×C42—171no—
1860C2×C42—171no—
1861C2×C42—171no—
1862C2×C42—171no—
1863C2×C42C22×D1711yescharacteristic
1864C17C2×#356311yescharacteristic, complemented, Sylow
1865C24—171no—
1866C24—172no—
1867C2×Q8—174no—
1868C2×Q8—172no—
1869C2×Q8—174no—
1870C2×Q8—174no—
1871C2×Q8—172no—
1872C2×Q8—174no—
1873C2×Q8—174no—
1874C2×Q8—171no—
1875C2×Q8—172no—
1876C2×Q8—348no—
1877C2×Q8—688no—
1878C2×Q8—682no—
1879C2×Q8—684no—
1880C2×Q8C23×D1712yes—
1881C2×Q8C23×D1714yes—
1882C2×Q8C23×D1712yes—
1883C2×Q8C23×D1711yescharacteristic
1884C2×D4—172no—
1885C2×D4—172no—
1886C2×D4—172no—
1887C2×D4—172no—
1888C2×D4—171no—
1889C2×D4—348no—
1890C2×D4—682no—
1891C2×D4C23×D1712yes—
1892C2×D4C23×D1711yescharacteristic
1893C22×C4—171no—
1894C22×C4—171no—
1895C22×C4—171no—
1896C22×C4—172no—
1897C22×C4—172no—
1898C22×C4—171no—
1899C22×C4—172no—
1900C22×C4—174no—
1901C22×C4—171no—
1902C22×C4—174no—
1903C22×C4—172no—
1904C22×C4—172no—
1905C22×C4—172no—
1906C22×C4—174no—
1907C22×C4—171no—
1908C22×C4—171no—
1909C22×C4—174no—
1910C22×C4—171no—
1911C22×C4—171no—
1912C22×C4—171no—
1913C22×C4—171no—
1914C22×C4—171no—
1915C22×C4—171no—
1916C22×C4—174no—
1917C22×C4—174no—
1918C22×C4—172no—
1919C22×C4—172no—
1920C22×C4—171no—
1921C22×C4—171no—
1922C22×C4—174no—
1923C22×C4—174no—
1924C22×C4—174no—
1925C22×C4—344no—
1926C22×C4—348no—
1927C22×C4—348no—
1928C22×C4—344no—
1929C22×C4—684no—
1930C22×C4—688no—
1931C22×C4—682no—
1932C22×C4C23×D1711yescharacteristic
1933C22×C4C23×D1711yescharacteristic
1934C22×C4C23×D1712yes—
1935C22×C4C23×D1712yes—
1936C22×C4C23×D1711yescharacteristic
1937C22×C4C23×D1712yes—
1938C22×C4C23×D1714yes—
1939C4⋊C4—174no—
1940C4⋊C4—172no—
1941C4⋊C4—174no—
1942C4⋊C4—172no—
1943C4⋊C4—174no—
1944C4⋊C4—172no—
1945C4⋊C4—174no—
1946C4⋊C4—174no—
1947C4⋊C4—174no—
1948C4⋊C4—174no—
1949C4⋊C4—172no—
1950C4⋊C4—174no—
1951C4⋊C4—174no—
1952C4⋊C4—174no—
1953C4⋊C4—174no—
1954C4⋊C4—174no—
1955C4⋊C4—174no—
1956C4⋊C4—174no—
1957C4⋊C4—174no—
1958C4⋊C4—174no—
1959C4⋊C4—174no—
1960C4⋊C4—174no—
1961C4⋊C4—174no—
1962C4⋊C4—174no—
1963C4⋊C4—172no—
1964C4⋊C4—174no—
1965C4⋊C4—174no—
1966C4⋊C4—174no—
1967C4⋊C4—174no—
1968C4⋊C4—172no—
1969C4⋊C4—174no—
1970C4⋊C4—174no—
1971C4⋊C4—174no—
1972C4⋊C4—172no—
1973C4⋊C4—174no—
1974C4⋊C4—172no—
1975C4⋊C4—174no—
1976C4⋊C4—172no—
1977C4⋊C4—174no—
1978C4⋊C4—172no—
1979C4⋊C4—172no—
1980C4⋊C4—172no—
1981C4⋊C4—174no—
1982C4⋊C4—172no—
1983C4⋊C4—172no—
1984C4⋊C4—171no—
1985C4⋊C4—174no—
1986C4⋊C4—174no—
1987C4⋊C4—174no—
1988C4⋊C4—172no—
1989C4⋊C4—172no—
1990C4⋊C4—172no—
1991C4⋊C4—172no—
1992C4⋊C4—172no—
1993C4⋊C4—172no—
1994C4⋊C4—172no—
1995C4⋊C4—171no—
1996C4⋊C4—174no—
1997C4⋊C4—174no—
1998C4⋊C4—174no—
1999C4⋊C4—174no—
2000C4⋊C4—174no—
2001C4⋊C4—174no—
2002C4⋊C4—174no—
2003C4⋊C4—174no—
2004C4⋊C4—174no—
2005C4⋊C4—174no—
2006C4⋊C4—174no—
2007C4⋊C4—174no—
2008C4⋊C4—174no—
2009C4⋊C4—172no—
2010C4⋊C4—174no—
2011C4⋊C4—174no—
2012C4⋊C4—174no—
2013C4⋊C4C23×D1712yes—
2014C4⋊C4C23×D1712yes—
2015C4⋊C4C23×D1712yes—
2016C4⋊C4C23×D1714yes—
2017C4⋊C4C23×D1712yes—
2018C4⋊C4C23×D1714yes—
2019C4⋊C4C23×D1714yes—
2020C4⋊C4C23×D1714yes—
2021C4⋊C4C23×D1714yes—
2022C4⋊C4C23×D1712yes—
2023C4⋊C4C23×D1714yes—
2024C4⋊C4C23×D1712yes—
2025C4⋊C4C23×D1714yes—
2026C4⋊C4C23×D1712yes—
2027C4⋊C4C23×D1714yes—
2028C4⋊C4C23×D1712yes—
2029C4⋊C4C23×D1712yes—
2030C4⋊C4C23×D1711yescharacteristic
2031C4⋊C4C23×D1714yes—
2032C4⋊C4C23×D1712yes—
2033C4⋊C4C23×D1712yes—
2034C4⋊C4C23×D1711yescharacteristic
2035C4⋊C4C23×D1714yes—
2036C4⋊C4C23×D1714yes—
2037C4⋊C4C23×D1714yes—
2038C4⋊C4C23×D1714yes—
2039C4⋊C4C23×D1712yes—
2040C4⋊C4C23×D1714yes—
2041C22⋊C4—174no—
2042C22⋊C4—172no—
2043C22⋊C4—172no—
2044C22⋊C4—172no—
2045C22⋊C4—174no—
2046C22⋊C4—172no—
2047C22⋊C4—174no—
2048C22⋊C4—174no—
2049C22⋊C4—172no—
2050C22⋊C4—174no—
2051C22⋊C4—172no—
2052C22⋊C4—172no—
2053C22⋊C4—174no—
2054C22⋊C4—172no—
2055C22⋊C4—172no—
2056C22⋊C4—172no—
2057C22⋊C4—172no—
2058C22⋊C4—174no—
2059C22⋊C4—174no—
2060C22⋊C4—172no—
2061C22⋊C4—172no—
2062C22⋊C4—174no—
2063C22⋊C4—174no—
2064C22⋊C4—174no—
2065C22⋊C4—174no—
2066C22⋊C4—172no—
2067C22⋊C4—172no—
2068C22⋊C4C23×D1714yes—
2069C22⋊C4C23×D1712yes—
2070C22⋊C4C23×D1712yes—
2071C22⋊C4C23×D1712yes—
2072C22⋊C4C23×D1714yes—
2073C22⋊C4C23×D1712yes—
2074C22⋊C4C23×D1714yes—
2075C22⋊C4C23×D1714yes—
2076C22⋊C4C23×D1712yes—
2077C42—171no—
2078C42—171no—
2079C42—171no—
2080C42—171no—
2081C42—171no—
2082C42—171no—
2083C42—171no—
2084C42—171no—
2085C42—171no—
2086C42—171no—
2087C42—171no—
2088C42—171no—
2089C42—174no—
2090C42—174no—
2091C42—174no—
2092C42—174no—
2093C42—174no—
2094C42—174no—
2095C42—172no—
2096C42—172no—
2097C42—172no—
2098C42—174no—
2099C42—174no—
2100C42—174no—
2101C42—174no—
2102C42—174no—
2103C42—174no—
2104C42C23×D1711yescharacteristic
2105C42C23×D1711yescharacteristic
2106C42C23×D1711yescharacteristic
2107C42C23×D1711yescharacteristic
2108C42C23×D1714yes—
2109C42C23×D1714yes—
2110C42C23×D1712yes—
2111C42C23×D1714yes—
2112C42C23×D1714yes—
2113C23—171no—
2114C23—174no—
2115C23—171no—
2116C23—172no—
2117C23—342no—
2118C23—342no—
2119C23—344no—
2120C23—344no—
2121C23—344no—
2122C23C24×D1712yes—
2123C23C24×D1711yescharacteristic
2124Q8—24no—
2125Q8—44no—
2126Q8—41no—
2127Q8—42no—
2128Q8—348no—
2129Q8—344no—
2130Q8—684no—
2131Q8—681no—
2132Q8—684no—
2133Q8—682no—
2134Q8—684no—
2135Q8—684no—
2136Q8—682no—
2137D4—24no—
2138D4—41no—
2139D4—344no—
2140D4—344no—
2141D4—344no—
2142D4—681no—
2143D4—682no—
2144C2×C4—22no—
2145C2×C4—24no—
2146C2×C4—22no—
2147C2×C4—24no—
2148C2×C4—42no—
2149C2×C4—44no—
2150C2×C4—41no—
2151C2×C4—171no—
2152C2×C4—174no—
2153C2×C4—171no—
2154C2×C4—174no—
2155C2×C4—172no—
2156C2×C4—172no—
2157C2×C4—171no—
2158C2×C4—171no—
2159C2×C4—172no—
2160C2×C4—174no—
2161C2×C4—171no—
2162C2×C4—174no—
2163C2×C4—171no—
2164C2×C4—174no—
2165C2×C4—342no—
2166C2×C4—344no—
2167C2×C4—344no—
2168C2×C4—342no—
2169C2×C4—342no—
2170C2×C4—348no—
2171C2×C4—342no—
2172C2×C4—342no—
2173C2×C4—342no—
2174C2×C4—348no—
2175C2×C4—348no—
2176C2×C4—342no—
2177C2×C4—348no—
2178C2×C4—342no—
2179C2×C4—344no—
2180C2×C4—348no—
2181C2×C4—344no—
2182C2×C4—342no—
2183C2×C4—344no—
2184C2×C4—342no—
2185C2×C4—344no—
2186C2×C4—342no—
2187C2×C4—344no—
2188C2×C4—684no—
2189C2×C4—684no—
2190C2×C4—681no—
2191C2×C4—684no—
2192C2×C4—681no—
2193C2×C4—682no—
2194C2×C4—684no—
2195C2×C4—681no—
2196C2×C4C24×D1711yescharacteristic
2197C2×C4C24×D1714yes—
2198C2×C4C24×D1712yes—
2199C2×C4C24×D1712yes—
2200C2×C4C24×D1711yescharacteristic
2201C2×C4C24×D1711yescharacteristic
2202C2×C4C24×D1712yes—
2203C2×C4C24×D1714yes—
2204C2×C4C24×D1711yescharacteristic
2205C2×C4C24×D1714yes—
2206C2×C4C24×D1711yescharacteristic
2207C2×C4C24×D1714yes—
2208C2×C4C24×D1711yescharacteristic
2209C22—21no—
2210C22—21no—
2211C22—22no—
2212C22—22no—
2213C22—22no—
2214C22—172no—
2215C22—172no—
2216C22—172no—
2217C22—172no—
2218C22—348no—
2219C22—341no—
2220C22—341no—
2221C22—342no—
2222C22—342no—
2223C22—342no—
2224C22—688no—
2225C222−1+4×D1712yes—
2226C22C25×D1711yescharacteristic
2227C4—21no—
2228C4—21no—
2229C4—24no—
2230C4—21no—
2231C4—22no—
2232C4—22no—
2233C4—24no—
2234C4—24no—
2235C4—21no—
2236C4—24no—
2237C4—21no—
2238C4—22no—
2239C4—172no—
2240C4—341no—
2241C4—341no—
2242C4—344no—
2243C4—341no—
2244C4—342no—
2245C4—342no—
2246C4—344no—
2247C4—344no—
2248C4—341no—
2249C4—341no—
2250C4—344no—
2251C4—342no—
2252C42−1+4×D1712yes—
2253C2—22no—
2254C2—42no—
2255C2—174no—
2256C2—342no—
2257C2—682no—
2258C2C2×2−1+4×D1711yescharacteristic
2259C2C2×2−1+4×D1711yescharacteristic
2260C2D17×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3563C2
prime radical#121×D17C22
hypercenter#3563D17
hypocenterC17C2×#3563
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3563

Complements

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

NH ≅ G/Ntype
1. #14543394C2semidirect
2. #14543393C2semidirect
3. #14543392C2semidirect
4. #14543391C2semidirect
5. #14543390C2semidirect
6. #14543389C2semidirect
7. #14543388C2semidirect
8. #14543387C2semidirect
9. #14543386C2semidirect
10. #14543385C2semidirect
11. #14543384C2semidirect
12. #14543383C2semidirect
13. #14543382C2semidirect
14. #14543381C2semidirect
15. #14543380C2semidirect
16. D17×#564C2semidirect
17. D17×#563C2semidirect
18. D17×#557C2semidirect
19. D17×#554C2semidirect
20. D17×#552C2semidirect
21. D17×#552C2semidirect
22. D17×#552C2semidirect
23. D17×#544C2semidirect
24. D17×#544C2semidirect
25. D17×#541C2semidirect
26. D17×#541C2semidirect
28. D17×#533C2semidirect
30. C2×#125×D17C2semidirect
31. C17×#3563C2semidirect
32. C17⋊#564C22semidirect
33. C17⋊#564C22semidirect
34. C17⋊#564C22semidirect
35. C17⋊#564C22semidirect
36. C17⋊#564C22semidirect
37. C17⋊#564C22semidirect
38. C17⋊#564C22semidirect
39. C17⋊#564C22semidirect
40. C17⋊#564C22semidirect
41. #11763563C22semidirect
42. #11763563C22semidirect
43. #11763562C22semidirect
44. #11763561C22semidirect
45. #11763561C22semidirect
46. #11763560C22semidirect
47. #11763560C22semidirect
48. #11763559C22semidirect
49. #11763558C22semidirect
50. #11763538C22semidirect
51. #11763537C22semidirect
52. #11763537C22semidirect
53. #11763536C22semidirect
54. #11763536C22semidirect
55. #11763536C22semidirect
56. #11763536C22semidirect
57. #11763535C22semidirect
58. #11763535C22semidirect
59. #11763534C22semidirect
60. #11763534C22semidirect
61. #11763520C22semidirect
62. #11763519C22semidirect
63. #11763518C22semidirect
64. #11763517C22semidirect
65. #11763517C22semidirect
66. #11763516C22semidirect
67. #11763515C22semidirect
68. #11763514C22semidirect
69. #11763514C22semidirect
70. #11763513C22semidirect
71. #11763513C22semidirect
72. #11763501C22semidirect
73. #11763501C22semidirect
74. #11763501C22semidirect
75. #11763500C22semidirect
76. #11763500C22semidirect
77. #11763500C22semidirect
78. #11763499C22semidirect
79. #11763499C22semidirect
80. #11763499C22semidirect
81. #11763498C22semidirect
82. #11763498C22semidirect
83. #11763498C22semidirect
84. #11763497C22semidirect
85. #11763497C22semidirect
86. #11763497C22semidirect
87. #11763496C22semidirect
88. #11763496C22semidirect
89. #11763496C22semidirect
90. #11763496C22semidirect
91. #11763495C22semidirect
92. #11763495C22semidirect
93. #11763495C22semidirect
94. #11763495C22semidirect
95. #11763494C22semidirect
96. #11763494C22semidirect
97. #11763494C22semidirect
98. #11763493C22semidirect
99. #11763493C22semidirect
100. #11763493C22semidirect
101. #11763492C22semidirect
102. #11763492C22semidirect
103. #11763492C22semidirect
104. #11763492C22semidirect
105. #11763491C22semidirect
106. #11763491C22semidirect
107. #11763491C22semidirect
108. #11763491C22semidirect
109. #11763440C22semidirect
110. #11763440C22semidirect
111. #11763439C22semidirect
112. #11763439C22semidirect
113. #11763439C22semidirect
114. #11763439C22semidirect
115. #11763439C22semidirect
116. #11763438C22semidirect
117. #11763438C22semidirect
118. #11763438C22semidirect
119. #11763438C22semidirect
120. #11763438C22semidirect
121. #11763437C22semidirect
122. #11763437C22semidirect
123. #11763437C22semidirect
124. #11763436C22semidirect
125. #11763436C22semidirect
126. #11763436C22semidirect
127. #11763436C22semidirect
128. #11763436C22semidirect
129. #11763422C22semidirect
130. #11763422C22semidirect
131. #11763421C22semidirect
132. #11763421C22semidirect
133. #11763420C22semidirect
134. #11763420C22semidirect
135. #11763419C22semidirect
136. #11763419C22semidirect
137. #11763419C22semidirect
138. #11763419C22semidirect
139. #11763418C22semidirect
140. #11763418C22semidirect
141. #11763418C22semidirect
142. #11763418C22semidirect
143. #11763418C22semidirect
144. #11763418C22semidirect
145. #11763417C22semidirect
146. #11763417C22semidirect
147. #11763417C22semidirect
148. #11763417C22semidirect
149. #11763416C22semidirect
150. #11763416C22semidirect
151. #11763416C22semidirect
152. #11763416C22semidirect
153. #11763416C22semidirect
154. #11763416C22semidirect
164. #11763366C22semidirect
165. #11763365C22semidirect
166. #11763364C22semidirect
167. #11763364C22semidirect
168. #11763363C22semidirect
169. #11763363C22semidirect
170. #11763362C22semidirect
171. #11763361C22semidirect
172. #11763361C22semidirect
194. C2×#10587556C22semidirect
195. C2×#10587576C22semidirect
196. C2×#10587576C22semidirect
197. C2×#10587575C22semidirect
198. C2×#10587575C22semidirect
214. #125×D17C22semidirect
215. #125×D17C22semidirect
216. #125×D17C22semidirect
217. #125×D17C22semidirect
252. C17×#564C22semidirect
253. C17×#563C22semidirect
254. C17×#557C22semidirect
255. C17×#554C22semidirect
256. C17×#552C22semidirect
257. C17×#552C22semidirect
258. C17×#552C22semidirect
259. C17×#544C22semidirect
260. C17×#544C22semidirect
261. C17×#541C22semidirect
262. C17×#541C22semidirect
264. C17×#533C22semidirect
266. C2×C17×#125C22semidirect
1094. #3563D17direct (N × H)
1163. #564C2×D17semidirect
1173. #563C2×D17semidirect
1185. #557C2×D17semidirect
1197. #554C2×D17semidirect
1235. #552C2×D17semidirect
1236. #552C2×D17semidirect
1237. #552C2×D17semidirect
1258. #544C2×D17semidirect
1259. #544C2×D17semidirect
1286. #541C2×D17semidirect
1287. #541C2×D17semidirect
1307. #533C2×D17semidirect
1354. C2×#125C2×D17semidirect
1396. D17#3563direct (N × H)
1864. C17C2×#3563semidirect

Maximal subgroups

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

subgroupindex
#145433942
#145433932
#145433922
#145433912
#145433902
#145433892
#145433882
#145433872
#145433862
#145433852
#145433842
#145433832
#145433822
#145433812
#145433802
D17×#5642
D17×#5632
D17×#5572
D17×#5542
D17×#5522
D17×#5442
D17×#5412
D17×#5392
D17×#5332
D17×#5292
C2×#125×D172
C17×#35632
C2×#356317