Finite Group Databasebeta

← #17941880

Subgroups — #17941880

Order 4352.

6634 conjugacy classes of subgroups.

The subgroup lattice has 2346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543478C212yesmaximal, complemented
2#14543471C212yesmaximal, complemented
3#14543439C214yesmaximal, complemented
4#14543435C212yesmaximal, complemented
5#14543410C212yesmaximal, complemented
6#14543387C211yesmaximal, characteristic, complemented
7#14543368C212yesmaximal, complemented
8#14543356C211yesmaximal, characteristic, complemented
9#14543326C212yesmaximal, complemented
10#14543322C211yesmaximal, characteristic, complemented
11#14543281C212yesmaximal, complemented
12#14543204C212yesmaximal, complemented
13#14543105C212yesmaximal, complemented
14#14543063C212yesmaximal, complemented
15#14542943C214yesmaximal, complemented
16#14542928C212yesmaximal, complemented
17#14542924C212yesmaximal, complemented
18#14542400C212yesmaximal, complemented
19#14542385C212yesmaximal, complemented
20#14542380C212yesmaximal, complemented
21#14542335C214yesmaximal, complemented
22#14542335C212yesmaximal, complemented
23#14542210C212yesmaximal, complemented
24#14542203C212yesmaximal, complemented
25#14542197C212yesmaximal, complemented
26#14542190C212yesmaximal, complemented
27#14542166C214yesmaximal, complemented
28#14542079C211yesmaximal, characteristic, complemented
29#14542078C211yesmaximal, characteristic, complemented
30C2×#11763338C211yesmaximal, characteristic, complemented
31C17×#3558C211yesmaximal, characteristic, complemented
32C17⋊#564C2212yescomplemented
33#11763562C2214yescomplemented
34#11763562C2214yescomplemented
35#11763560C2214yescomplemented
36#11763560C2214yescomplemented
37#11763559C2212yescomplemented
38#11763559C2214yescomplemented
39#11763559C2212yescomplemented
40#11763559C2212yescomplemented
41#11763554C2214yescomplemented
42#11763554C2214yescomplemented
43#11763553C2214yescomplemented
44#11763553C2214yescomplemented
45#11763553C2212yescomplemented
46#11763553C2212yescomplemented
47#11763548C2214yescomplemented
48#11763548C2214yescomplemented
49#11763548C2214yescomplemented
50#11763545C2212yescomplemented
51#11763542C2214yescomplemented
52#11763537C2212yescomplemented
53#11763535C2212yescomplemented
54#11763532C2212yescomplemented
55#11763528C2212yescomplemented
56#11763528C2214yescomplemented
57#11763528C2214yescomplemented
58#11763528C2214yescomplemented
59#11763528C2212yescomplemented
60#11763523C2212yes—
61#11763523C2214yescomplemented
62#11763518C2214yescomplemented
63#11763518C2212yescomplemented
64#11763516C2212yescomplemented
65#11763516C2212yescomplemented
66#11763511C2212yescomplemented
67#11763511C2214yescomplemented
68#11763511C2212yescomplemented
69#11763509C2212yescomplemented
70#11763509C2212yescomplemented
71#11763504C2214yescomplemented
72#11763504C2214yescomplemented
73#11763502C2214yescomplemented
74#11763502C2214yescomplemented
75#11763502C2214yescomplemented
76#11763501C2214yescomplemented
77#11763501C2212yescomplemented
78#11763499C2212yescomplemented
79#11763499C2212yescomplemented
80#11763499C2214yescomplemented
81#11763499C2214yescomplemented
82#11763496C2214yescomplemented
83#11763496C2214yescomplemented
84#11763496C2214yescomplemented
85#11763493C2212yescomplemented
86#11763493C2214yescomplemented
87#11763490C2214yescomplemented
88#11763490C2214yescomplemented
89#11763490C2214yescomplemented
90#11763490C2214yescomplemented
91#11763490C2214yescomplemented
92#11763485C2214yescomplemented
93#11763485C2214yescomplemented
94#11763485C2214yescomplemented
95#11763479C2212yes—
96Q8×C22⋊D17C2212yescomplemented
97#11763467C2212yescomplemented
98#11763467C2212yescomplemented
99#11763466C2212yescomplemented
100#11763459C2212yescomplemented
101#11763459C2214yescomplemented
102#11763458C2212yescomplemented
103#11763458C2214yescomplemented
104#11763453C2212yes—
105#11763453C2212yescomplemented
106#11763453C2214yescomplemented
107#11763453C2212yescomplemented
108#11763453C2214yescomplemented
109#11763438C2212yescomplemented
110#11763437C2212yescomplemented
111#11763436C2212yescomplemented
112#11763435C2212yescomplemented
113#11763428C2212yescomplemented
114#11763428C2212yescomplemented
115#11763427C2214yescomplemented
116#11763427C2214yescomplemented
117#11763426C2214yescomplemented
118#11763425C2214yescomplemented
119#11763424C2212yescomplemented
120#11763423C2214yescomplemented
121#11763423C2214yescomplemented
122#11763423C2214yescomplemented
123#11763423C2214yescomplemented
124#11763421C2212yescomplemented
125#11763417C2212yescomplemented
126#11763416C2214yescomplemented
127#11763416C2214yescomplemented
128#11763416C2214yescomplemented
129#11763413C2212yes—
130#11763413C2212yescomplemented
131#11763412C2214yescomplemented
132#11763411C2214yescomplemented
133#11763409C2214yescomplemented
134#11763409C2214yescomplemented
135#11763409C2214yescomplemented
136#11763408C2214yescomplemented
137#11763405C2214yescomplemented
138#11763404C2212yes—
139#11763404C2214yescomplemented
140#11763404C2212yescomplemented
141#11763403C2214yescomplemented
142#11763403C2214yescomplemented
143#11763402C2214yescomplemented
144#11763401C2214yescomplemented
145#11763401C2214yescomplemented
146#11763397C2214yescomplemented
147#11763397C2212yescomplemented
148#11763396C2214yescomplemented
149#11763394C2214yescomplemented
150#11763394C2214yescomplemented
151#11763394C2214yescomplemented
152#11763394C2214yescomplemented
153#11763394C2214yescomplemented
154#11763394C2214yescomplemented
155#11763392C2214yescomplemented
156#11763388C2212yes—
157#11763387C2212yescomplemented
158#11763386C2212yescomplemented
159#11763382C2212yescomplemented
160#11763379C2212yescomplemented
161#11763376C2212yescomplemented
162#11763374C2214yescomplemented
163#11763368C2214yescomplemented
164#11763366C2211yescharacteristic, complemented
165#11763365C2211yescharacteristic, complemented
166#11763364C2211yescharacteristic, complemented
167#11763364C2211yescharacteristic, complemented
168#11763363C2211yescharacteristic, complemented
169#11763361C2211yescharacteristic, complemented
170#11763361C2214yescomplemented
171#11763361C2212yescomplemented
172#11763361C2214yescomplemented
173#11763358C2214yescomplemented
174#11763358C2211yescharacteristic, complemented
175#11763357C2211yescharacteristic, complemented
176#11763357C2212yescomplemented
177#11763357C2211yescharacteristic, complemented
178#11763356C2211yescharacteristic, complemented
179#11763354C2211yescharacteristic
180#11763354C2214yescomplemented
181#11763344C2211yescharacteristic, complemented
182#11763343C2211yescharacteristic, complemented
183#11763342C2212yescomplemented
184#11763342C2212yescomplemented
185#11763342C2214yescomplemented
186#11763341C2212yescomplemented
187#11763341C2212yescomplemented
188#11763340C2212yescomplemented
189#11763340C2214yescomplemented
190#11763340C2212yescomplemented
191#11763340C2212yescomplemented
192#11763340C2214yescomplemented
193#11763340C2214yescomplemented
194#11763340C2214yescomplemented
195#11763338C2212yescomplemented
196#11763338C2212yescomplemented
197#11763338C2212yescomplemented
198#11763338C2214yescomplemented
199#11763338C2212yescomplemented
200#11763338C2212yescomplemented
201#11763338C2214yescomplemented
202#11763338C2212yescomplemented
203#11763338C2212yescomplemented
204#11763338C2212yescomplemented
205#11763338C2212yescomplemented
206#11763338C2212yescomplemented
207#11763338C2212yescomplemented
208#11763338C2211yescharacteristic, complemented
209#11763337C2212yescomplemented
210#11763336C2214yescomplemented
211#11763336C2214yescomplemented
212#11763336C2214yescomplemented
213#11763336C2214yescomplemented
214#11763336C2212yescomplemented
215C2×#10587565C2212yescomplemented
216C2×#10587556C2211yescharacteristic, complemented
217#11763322C2211yescharacteristic, complemented
218#11763319C2211yescharacteristic
219#11763319C2212yescomplemented
220#11763319C2212yescomplemented
221#11763318C2212yescomplemented
222#11763317C2212yescomplemented
223#11763316C2212yescomplemented
224#11763315C2214yescomplemented
225#11763315C2214yescomplemented
226#11763315C2214yescomplemented
227#11763315C2214yescomplemented
228#11763315C2214yescomplemented
229C2×#10587569C2212yescomplemented
230C2×#10587632C2211yescharacteristic, complemented
231C2×#10587624C2211yescharacteristic
232#41×Dic17C2212yescomplemented
233#41×Dic17C2212yescomplemented
234C4×#63256C2211yescharacteristic, complemented
235#11763277C2212yescomplemented
236C4×#63254C2212yescomplemented
237C4×#63254C2214yescomplemented
238C4×#63254C2212yescomplemented
239C4×#63254C2212yescomplemented
240C4×#63254C2214yescomplemented
241C4×#63254C2212yescomplemented
242C4×#63254C2211yescharacteristic, complemented
243C2×Q8×Dic17C2211yescharacteristic, complemented
244C4×Q8×D17C2212yescomplemented
245C2×D4×Dic17C2211yescharacteristic
246C2×D4×Dic17C2214yescomplemented
247C2×D4×Dic17C2212yescomplemented
248C2×#10587567C2212yescomplemented
249C2×#10587563C2214yescomplemented
250C2×#10587563C2212yescomplemented
251C2×C42×D17C2211yescharacteristic, complemented
252C17×#562C2212yescomplemented
253C17×H(3,𝔽4)C2212yescomplemented
254C17×#559C2212yescomplemented
255C17×#548C2212yes—
256C17×#546C2214yes—
257C17×#546C2212yescomplemented
258D42×C17C2212yes—
259C17×#542C2212yescomplemented
260C17×#538C2212yes—
261C17×#538C2214yescomplemented
262C17×#535C2212yescomplemented
263C17×#534C2212yes—
264C17×#532C2211yescharacteristic
265C17×#529C2211yescharacteristic
266C2×C17×#124C2211yescharacteristic
267C2×#41×C17C2312yes—
268C2×#41×C17C2312yes—
269C22×Q8×C17C2311yescharacteristic
270C22×D4×C17C2311yescharacteristic
271C22×D4×C17C2314yes—
272C22×D4×C17C2312yes—
273C22×C22⋊D17C2312yes—
274C23×Dic17C2312yes—
275C23×Dic17C2314yes—
276C2×#63256C2311yescharacteristic
277C2×Q8×D17C2312yes—
278C2×#63254C2314yes—
279C2×#63254C2312yes—
280C2×#63254C2312yes—
281C2×#63254C2312yes—
282C2×#63254C2311yescharacteristic
283C2×#63254C2314yes—
284C2×#63254C2312yes—
285C2×#63252C2312yes—
286C22×C4×D17C2311yescharacteristic
287C22×C4×D17C2311yescharacteristic
288C22×C4×D17C2311yescharacteristic
289C17×C4⋊Q8C2311yescharacteristic
290C17×#127C2312yes—
291C17×#127C2311yescharacteristic
292C17×#126C2312yes—
293C17×#126C2314yes—
294C17×#125C2311yescharacteristic
295C17×#124C2312yes—
296C17×#124C2312yes—
297C17×#124C2312yes—
298C17×#124C2312yes—
299C17×#124C2312yes—
300C17×#124C2311yescharacteristic
301C17×#124C2312yes—
302C17×#124C2314yes—
303C17×#124C2314yes—
304C17×#124C2314yes—
305C17×#123C2312yes—
306C17×#123C2314yes—
307C17×#123C2314yes—
308C17×#123C2314yes—
309C17×#123C2314yes—
310C17×C22⋊Q8C2312yes—
311C17×C22⋊Q8C2314yes—
312C17×C22⋊Q8C2311yescharacteristic
313C17×C22⋊Q8C2314yes—
314C17×#121C2312yes—
315C17×#121C2314yes—
316C17×#121C2311yescharacteristic
317C17×#121C2312yes—
318C17×#121C2314yes—
319C17×#121C2314yes—
320C17×#121C2314yes—
321C17×#121C2314yes—
322C17×#121C2312yes—
323C17×#120C2314yes—
324C17×#120C2314yes—
325C17×#120C2314yes—
326C17×#120C2314yes—
327C17×#120C2314yes—
328C4×Q8×C17C2311yescharacteristic
329C4×Q8×C17C2312yes—
330C4×D4×C17C2311yescharacteristic
331C4×D4×C17C2312yes—
332C4×D4×C17C2312yes—
333C4×D4×C17C2312yes—
334C4×D4×C17C2314yes—
335C4×D4×C17C2314yes—
336C4×D4×C17C2312yes—
337C17×#117C2312yes—
338C2×C22⋊C4×C17C2312yes—
339C2×C22⋊C4×C17C2314yes—
340C2×C22⋊C4×C17C2312yes—
341C2×C42×C17C2311yescharacteristic
342#10587639C2314yes—
343#10587639C2314yes—
344#10587639C2314yes—
345#10587639C2314yes—
346#10587639C2314yes—
347C2×C22⋊Dic17C2314yes—
348C2×C22⋊Dic17C2314yes—
349C2×C22⋊Dic17C2314yes—
350C2×C22⋊Dic17C2312yes—
351C2×C22⋊Dic17C2314yes—
352C2×C22⋊Dic17C2312yes—
353#10587632C2312yes—
354#10587632C2314yes—
355#10587632C2312yes—
356#10587632C2314yes—
357#10587632C2312yes—
358#10587632C2312yes—
359#10587632C2312yes—
360#10587632C2312yes—
361#10587632C2312yes—
362#10587632C2311yescharacteristic
363Q8×Dic17C2312yes—
364Q8×Dic17C2312yes—
365Q8×Dic17C2312yes—
366Q8×Dic17C2312yes—
367Q8×Dic17C2312yes—
368Q8×Dic17C2311yescharacteristic
369Q8×Dic17C2312yes—
370Q8×Dic17C2312yes—
371#10587630C2312yes—
372#10587630C2314yes—
373#10587630C2314yes—
374#10587630C2314yes—
375#10587630C2311yescharacteristic
376#10587626C2314yes—
377#10587626C2311yescharacteristic
378#10587626C2314yes—
379#10587625C2314yes—
380#10587625C2314yes—
381#10587625C2314yes—
382#10587625C2314yes—
383#10587625C2314yes—
384#10587625C2312yes—
385#10587625C2314yes—
386#10587625C2314yes—
387#10587625C2314yes—
388#10587625C2314yes—
389#10587625C2314yes—
390#10587625C2314yes—
391#10587625C2314yes—
392#10587625C2314yes—
393#10587625C2314yes—
394#10587625C2314yes—
395#10587625C2314yes—
396#10587624C2312yes—
397#10587624C2314yes—
398#10587624C2312yes—
399#10587624C2312yes—
400#10587624C2312yes—
401#10587624C2314yes—
402#10587624C2314yes—
403#10587624C2312yes—
404#10587624C2312yes—
405#10587624C2312yes—
406#10587624C2312yes—
407#10587624C2312yes—
408#10587624C2311yescharacteristic
409#10587624C2312yes—
410#10587624C2312yes—
411#10587623C2314yes—
412#10587623C2312yes—
413#10587622C2314yes—
414#10587622C2312yes—
415#10587622C2314yes—
416#10587622C2314yes—
417#10587622C2314yes—
418#10587622C2312yes—
419#10587622C2314yes—
420#10587622C2312yes—
421#10587621C2314yes—
422#10587621C2314yes—
423#10587621C2314yes—
424#10587621C2314yes—
425#10587621C2314yes—
426#10587621C2314yes—
427#10587621C2314yes—
428#10587621C2314yes—
429#10587621C2314yes—
430#10587621C2314yes—
431#10587621C2314yes—
432#10587621C2314yes—
433#10587621C2314yes—
434#10587621C2314yes—
435#10587621C2314yes—
436D4×Dic17C2314yes—
437D4×Dic17C2312yes—
438D4×Dic17C2314yes—
439D4×Dic17C2312yes—
440D4×Dic17C2314yes—
441D4×Dic17C2311yescharacteristic
442D4×Dic17C2312yes—
443D4×Dic17C2312yes—
444D4×Dic17C2314yes—
445D4×Dic17C2314yes—
446D4×Dic17C2314yes—
447D4×Dic17C2314yes—
448D4×Dic17C2314yes—
449D4×Dic17C2312yes—
450D4×Dic17C2312yes—
451D4×Dic17C2312yes—
452D4×Dic17C2312yes—
453D4×Dic17C2312yes—
454D4×Dic17C2314yes—
455D4×Dic17C2312yes—
456D4×Dic17C2314yes—
457D4×Dic17C2314yes—
458D4×Dic17C2314yes—
459D4×Dic17C2312yes—
460D4×Dic17C2314yes—
461D4×Dic17C2312yes—
462#10587616C2311yescharacteristic
463#10587616C2314yes—
464#10587615C2312yes—
465#10587615C2314yes—
466#10587615C2314yes—
467#10587615C2314yes—
468#10587615C2314yes—
469C4×C22⋊D17C2312yes—
470C4×C22⋊D17C2314yes—
471C4×C22⋊D17C2314yes—
472C4×C22⋊D17C2312yes—
473C4×C22⋊D17C2314yes—
474C4×C22⋊D17C2312yes—
475C4×C22⋊D17C2314yes—
476C4×C22⋊D17C2314yes—
477C4×C22⋊D17C2314yes—
478C4×C22⋊D17C2314yes—
479C2×#63227C2312yes—
480#10587612C2312yes—
481#10587612C2314yes—
482#10587612C2314yes—
483#10587612C2312yes—
484C2×C4⋊Dic17C2311yescharacteristic
485C2×C4⋊Dic17C2312yes—
486C2×C4⋊Dic17C2312yes—
487C2×C4⋊Dic17C2314yes—
488C2×C4⋊Dic17C2311yescharacteristic
489#10587610C2314yes—
490#10587610C2312yes—
491#10587610C2312yes—
492#10587610C2314yes—
493#10587610C2314yes—
494#10587610C2312yes—
495#10587610C2314yes—
496#10587610C2314yes—
497#10587610C2314yes—
498#10587610C2311yescharacteristic
499#10587610C2312yes—
500C2×#63225C2312yes—
501C2×#63225C2314yes—
502C2×#63225C2314yes—
503C2×#63225C2312yes—
504C2×#63225C2312yes—
505C2×C4×Dic17C2311yescharacteristic
506C2×C4×Dic17C2311yescharacteristic
507C2×C4×Dic17C2311yescharacteristic
508C2×C4×Dic17C2312yes—
509C2×C4×Dic17C2314yes—
510C2×C4×Dic17C2314yes—
511C2×C4×Dic17C2312yes—
512C2×C4×Dic17C2314yes—
513#10587584C2312yes—
514#10587584C2314yes—
515#10587584C2314yes—
516#10587584C2314yes—
517#10587584C2314yes—
518#10587583C2311yescharacteristic
519#10587583C2312yes—
520#10587583C2312yes—
521#10587582C2312yes—
522#10587582C2312yes—
523#10587582C2312yes—
524#10587582C2314yes—
525#10587581C2311yescharacteristic
526#10587580C2312yes—
527#10587580C2312yes—
528#10587580C2314yes—
529#10587579C2311yescharacteristic
530#10587579C2312yes—
531#10587579C2312yes—
532#10587579C2312yes—
533#10587578C2314yes—
534#10587578C2312yes—
535#10587578C2312yes—
536#10587578C2312yes—
537#10587578C2312yes—
538#10587578C2312yes—
539#10587578C2311yescharacteristic
540#10587578C2311yescharacteristic
541C4⋊C4×D17C2314yes—
542C4⋊C4×D17C2312yes—
543#10587576C2314yes—
544#10587576C2312yes—
545#10587576C2314yes—
546#10587576C2314yes—
547#10587576C2312yes—
548#10587576C2314yes—
549#10587576C2312yes—
550#10587575C2314yes—
551#10587575C2314yes—
552#10587575C2314yes—
553#10587575C2312yes—
554#10587575C2314yes—
555#10587575C2314yes—
556#10587575C2314yes—
557#10587575C2314yes—
558#10587575C2314yes—
559#10587575C2314yes—
560#10587575C2312yes—
561#10587575C2314yes—
562#10587574C2312yes—
563#10587574C2314yes—
564#10587574C2314yes—
565#10587574C2311yescharacteristic
566#10587574C2311yescharacteristic
567#10587574C2314yes—
568#10587573C2311yescharacteristic
569#10587573C2314yes—
570#10587573C2312yes—
571#10587573C2314yes—
572#10587573C2314yes—
573#10587573C2312yes—
574#10587573C2312yes—
575#10587573C2312yes—
576#10587573C2312yes—
577#10587572C2314yes—
578#10587572C2314yes—
579#10587572C2314yes—
580#10587572C2314yes—
581#10587572C2314yes—
582#10587571C2314yes—
583#10587571C2314yes—
584#10587571C2312yes—
585#10587571C2314yes—
586#10587571C2314yes—
587#10587571C2312yes—
588#10587571C2314yes—
589#10587571C2314yes—
590#10587571C2314yes—
591#10587570C2314yes—
592#10587570C2314yes—
593#10587570C2314yes—
594#10587570C2314yes—
595#10587570C2312yes—
596#10587570C2312yes—
597#10587570C2312yes—
598#10587570C2314yes—
599#10587569C2314yes—
600#10587569C2314yes—
601#10587569C2314yes—
602#10587569C2314yes—
603#10587569C2314yes—
604#10587569C2314yes—
605#10587569C2314yes—
606#10587569C2314yes—
607#10587569C2314yes—
608#10587569C2314yes—
609#10587569C2312yes—
610#10587569C2312yes—
611#10587569C2314yes—
612#10587569C2314yes—
613#10587568C2312yes—
614#10587567C2314yes—
615#10587567C2314yes—
616#10587567C2312yes—
617#10587567C2314yes—
618#10587567C2314yes—
619#10587567C2314yes—
620#10587567C2314yes—
621#10587567C2312yes—
622#10587567C2314yes—
623#10587567C2312yes—
624#10587567C2314yes—
625#10587567C2314yes—
626#10587567C2314yes—
627#10587567C2312yes—
628#10587567C2312yes—
629#10587567C2312yes—
630#10587567C2312yes—
631#10587565C2314yes—
632#10587565C2314yes—
633#10587565C2314yes—
634#10587565C2314yes—
635#10587565C2314yes—
636#10587565C2312yes—
637#10587565C2314yes—
638#10587565C2314yes—
639#10587565C2314yes—
640#10587565C2314yes—
641#10587565C2314yes—
642#10587565C2314yes—
643#10587565C2314yes—
644#10587565C2314yes—
645#10587565C2314yes—
646#10587565C2314yes—
647#10587565C2314yes—
648#10587565C2314yes—
649#10587565C2314yes—
650#10587565C2314yes—
651#10587565C2314yes—
652#10587565C2314yes—
653#10587565C2314yes—
654#10587565C2314yes—
655#10587565C2314yes—
656#10587564C2314yes—
657#10587564C2314yes—
658#10587564C2314yes—
659#10587564C2314yes—
660#10587564C2314yes—
661#10587564C2314yes—
662#10587564C2314yes—
663#10587564C2312yes—
664#10587564C2314yes—
665#10587564C2314yes—
666#10587564C2314yes—
667#10587564C2314yes—
668#10587564C2314yes—
669#10587564C2314yes—
670#10587564C2314yes—
671#10587564C2314yes—
672#10587564C2314yes—
673#10587564C2314yes—
674#10587564C2314yes—
675#10587564C2314yes—
676#10587563C2314yes—
677#10587563C2314yes—
678#10587563C2314yes—
679#10587563C2312yes—
680#10587563C2314yes—
681#10587563C2312yes—
682#10587563C2314yes—
683#10587563C2314yes—
684#10587563C2314yes—
685#10587563C2314yes—
686#10587563C2314yes—
687#10587563C2314yes—
688#10587563C2314yes—
689#10587563C2312yes—
690#10587563C2314yes—
691#10587563C2314yes—
692#10587563C2314yes—
693#10587563C2314yes—
694#10587563C2314yes—
695#10587562C2312yes—
696#10587562C2314yes—
697#10587561C2314yes—
698#10587561C2311yescharacteristic
699C4×D68C2311yescharacteristic
700C4×D68C2312yes—
701#10587558C2312yes—
702#10587558C2312yes—
703C42×D17C2311yescharacteristic
704C42×D17C2311yescharacteristic
705C42×D17C2311yescharacteristic
706C42×D17C2311yescharacteristic
707C42×D17C2311yescharacteristic
708C42×D17C2311yescharacteristic
709C42×D17C2311yescharacteristic
710C42×D17C2311yescharacteristic
711C42×D17C2312yes—
712C42×D17C2314yes—
713#10587556C2312yes—
714#10587556C2312yes—
715#10587556C2314yes—
716#10587556C2314yes—
717#10587556C2312yes—
718#10587556C2312yes—
719#10587556C2311yescharacteristic
720#10587556C2312yes—
721#10587556C2312yes—
722#10587555C2312yes—
723#10587555C2311yescharacteristic
724#10587555C2311yescharacteristic
725C4×Dic34C2312yes—
726C4×Dic34C2312yes—
727C4×Dic34C2312yes—
728C4×Dic34C2314yes—
729C4×Dic34C2314yes—
730C4×Dic34C2312yes—
731C4×Dic34C2311yescharacteristic
732C4×Dic34C2314yes—
733C4×Dic34C2312yes—
734C24×C17C2412yes—
735C24×C17C2414yes—
736C23×D17C2411yescharacteristic
737#41×C17—44no—
738#41×C17—44no—
739C2×Q8×C17—42no—
740C2×Q8×C17C2412yes—
741C2×Q8×C17C2412yes—
742C2×Q8×C17C2412yes—
743C2×Q8×C17C2411yescharacteristic
744C2×D4×C17—42no—
745C2×D4×C17—44no—
746C2×D4×C17—48no—
747C2×D4×C17C2412yes—
748C2×D4×C17C2412yes—
749C2×D4×C17C2412yes—
750C2×D4×C17C2414yes—
751C2×D4×C17C2414yes—
752C2×D4×C17C2414yes—
753C2×D4×C17C2414yes—
754C2×D4×C17C2412yes—
755C2×D4×C17C2414yes—
756C2×D4×C17C2412yes—
757C2×D4×C17C2411yescharacteristic
758C2×D4×C17C2414yes—
759C2×D4×C17C2412yes—
760C22×C4×C17C2412yes—
761C22×C4×C17C2411yescharacteristic
762C22×C4×C17C2411yescharacteristic
763C22×C4×C17C2414yes—
764C22×C4×C17C2414yes—
765C22×C4×C17C2411yescharacteristic
766C22×C4×C17C2414yes—
767C22×C4×C17C2412yes—
768C2×C22⋊D17—44no—
769C2×C22⋊D17C2412yes—
770C2×C22⋊D17C2412yes—
771C2×C22⋊D17C2412yes—
772C2×C22⋊D17C2412yes—
773C2×C22⋊D17C2414yes—
774C2×C22⋊D17C2414yes—
775C2×C22⋊D17C2412yes—
776C2×C22⋊D17C2414yes—
777C2×C22⋊D17C2414yes—
778C2×C22⋊D17C2414yes—
779C2×C22⋊D17C2414yes—
780C2×C22⋊D17C2414yes—
781C2×C22⋊D17C2414yes—
782C22×Dic17—44no—
783C22×Dic17—48no—
784C22×Dic17C2411yescharacteristic
785C22×Dic17C2411yescharacteristic
786C22×Dic17C2414yes—
787C22×Dic17C2412yes—
788C22×Dic17C2412yes—
789C22×Dic17C2414yes—
790C22×Dic17C2411yescharacteristic
791C22×Dic17C2414yes—
792C22×Dic17C2414yes—
793C22×Dic17C2412yes—
794C22×Dic17C2414yes—
795C22×Dic17C2414yes—
796C22×Dic17C2414yes—
797C22×Dic17C2414yes—
798C22×Dic17C2414yes—
799C22×Dic17C2412yes—
800#63256—42no—
801Q8×D17—44no—
802#63254—44no—
803#63254—44no—
804#63254—44no—
805#63254—42no—
806#63254—48no—
807#63254—44no—
808#63254—48no—
809#63252—44no—
810C2×D68C2412yes—
811C2×D68C2412yes—
812C2×D68C2411yescharacteristic
813C2×C4×D17—42no—
814C2×C4×D17—42no—
815C2×C4×D17—42no—
816C2×C4×D17C2411yescharacteristic
817C2×C4×D17C2411yescharacteristic
818C2×C4×D17C2411yescharacteristic
819C2×C4×D17C2411yescharacteristic
820C2×C4×D17C2412yes—
821C2×C4×D17C2412yes—
822C2×C4×D17C2411yescharacteristic
823C2×C4×D17C2411yescharacteristic
824C2×C4×D17C2411yescharacteristic
825C2×C4×D17C2411yescharacteristic
826C2×C4×D17C2411yescharacteristic
827C2×C4×D17C2411yescharacteristic
828C2×C4×D17C2411yescharacteristic
829C2×C4×D17C2411yescharacteristic
830C2×C4×D17C2412yes—
831C2×C4×D17C2414yes—
832C2×C4×D17C2414yes—
833C2×Dic34C2412yes—
834C2×Dic34C2412yes—
835C2×Dic34C2414yes—
836C2×Dic34C2412yes—
837C2×Dic34C2411yescharacteristic
838C2×Dic34C2414yes—
839C2×Dic34C2412yes—
840C2×Dic34C2414yes—
841C4⋊C4×C17C2414yes—
842C4⋊C4×C17C2414yes—
843C4⋊C4×C17C2412yes—
844C4⋊C4×C17C2412yes—
845C4⋊C4×C17C2411yescharacteristic
846C4⋊C4×C17C2412yes—
847C4⋊C4×C17C2412yes—
848C4⋊C4×C17C2411yescharacteristic
849C4⋊C4×C17C2412yes—
850C4⋊C4×C17C2412yes—
851C22⋊C4×C17C2414yes—
852C22⋊C4×C17C2414yes—
853C22⋊C4×C17C2414yes—
854C22⋊C4×C17C2412yes—
855C22⋊C4×C17C2414yes—
856C22⋊C4×C17C2414yes—
857C22⋊C4×C17C2414yes—
858C22⋊C4×C17C2414yes—
859C22⋊C4×C17C2412yes—
860C22⋊C4×C17C2414yes—
861C22⋊C4×C17C2412yes—
862C22⋊C4×C17C2414yes—
863C22⋊C4×C17C2414yes—
864C22⋊C4×C17C2414yes—
865C22⋊C4×C17C2412yes—
866C22⋊C4×C17C2412yes—
867C42×C17C2411yescharacteristic
868C42×C17C2414yes—
869C42×C17C2411yescharacteristic
870C42×C17C2411yescharacteristic
871C42×C17C2411yescharacteristic
872C42×C17C2412yes—
873C22⋊Dic17C2414yes—
874C22⋊Dic17C2412yes—
875C22⋊Dic17C2414yes—
876C22⋊Dic17C2414yes—
877C22⋊Dic17C2414yes—
878C22⋊Dic17C2414yes—
879C22⋊Dic17C2414yes—
880C22⋊Dic17C2414yes—
881C22⋊Dic17C2412yes—
882C22⋊Dic17C2414yes—
883C22⋊Dic17C2412yes—
884C22⋊Dic17C2414yes—
885C22⋊Dic17C2414yes—
886C22⋊Dic17C2414yes—
887C22⋊Dic17C2414yes—
888C22⋊Dic17C2414yes—
889C22⋊Dic17C2414yes—
890C22⋊Dic17C2414yes—
891C22⋊Dic17C2414yes—
892C22⋊Dic17C2414yes—
893C22⋊Dic17C2414yes—
894C22⋊Dic17C2414yes—
895C22⋊Dic17C2414yes—
896#63227C2412yes—
897#63227C2412yes—
898#63227C2412yes—
899#63227C2412yes—
900#63227C2412yes—
901#63227C2412yes—
902#63227C2412yes—
903#63227C2412yes—
904#63227C2414yes—
905#63227C2414yes—
906#63227C2414yes—
907#63227C2414yes—
908#63227C2414yes—
909#63227C2414yes—
910#63227C2412yes—
911#63227C2412yes—
912C4⋊Dic17C2412yes—
913C4⋊Dic17C2412yes—
914C4⋊Dic17C2412yes—
915C4⋊Dic17C2412yes—
916C4⋊Dic17C2412yes—
917C4⋊Dic17C2411yescharacteristic
918C4⋊Dic17C2414yes—
919C4⋊Dic17C2414yes—
920C4⋊Dic17C2412yes—
921C4⋊Dic17C2412yes—
922C4⋊Dic17C2412yes—
923C4⋊Dic17C2414yes—
924C4⋊Dic17C2412yes—
925C4⋊Dic17C2412yes—
926C4⋊Dic17C2411yescharacteristic
927C4⋊Dic17C2414yes—
928C4⋊Dic17C2414yes—
929C4⋊Dic17C2414yes—
930C4⋊Dic17C2414yes—
931C4⋊Dic17C2414yes—
932#63225C2412yes—
933#63225C2412yes—
934#63225C2414yes—
935#63225C2414yes—
936#63225C2414yes—
937#63225C2414yes—
938#63225C2412yes—
939#63225C2414yes—
940#63225C2414yes—
941#63225C2414yes—
942#63225C2414yes—
943#63225C2414yes—
944#63225C2412yes—
945#63225C2414yes—
946#63225C2414yes—
947#63225C2414yes—
948#63225C2414yes—
949#63225C2412yes—
950#63225C2412yes—
951#63225C2414yes—
952#63225C2414yes—
953#63225C2414yes—
954#63225C2414yes—
955#63225C2414yes—
956#63225C2412yes—
957#63225C2412yes—
958#63225C2414yes—
959#63225C2414yes—
960#63225C2412yes—
961#63225C2414yes—
962#63225C2414yes—
963#63225C2412yes—
964C4×Dic17C2411yescharacteristic
965C4×Dic17C2412yes—
966C4×Dic17C2414yes—
967C4×Dic17C2412yes—
968C4×Dic17C2414yes—
969C4×Dic17C2414yes—
970C4×Dic17C2414yes—
971C4×Dic17C2414yes—
972C4×Dic17C2414yes—
973C4×Dic17C2414yes—
974C4×Dic17C2411yescharacteristic
975C4×Dic17C2411yescharacteristic
976C4×Dic17C2411yescharacteristic
977C4×Dic17C2411yescharacteristic
978C4×Dic17C2411yescharacteristic
979C4×Dic17C2411yescharacteristic
980C4×Dic17C2411yescharacteristic
981C4×Dic17C2411yescharacteristic
982C4×Dic17C2411yescharacteristic
983C4×Dic17C2411yescharacteristic
984C4×Dic17C2411yescharacteristic
985C4×Dic17C2414yes—
986C4×Dic17C2414yes—
987C4×Dic17C2412yes—
988C4×Dic17C2412yes—
989C4×Dic17C2414yes—
990C4×Dic17C2412yes—
991#62743—171nomaximal, Sylow
992C23×C17—24no—
993C23×C17—42no—
994C23×C17—44no—
995C23×C17—42no—
996C23×C17—44no—
997C23×C17—44no—
998C23×C17C2512yes—
999C23×C17C2514yes—
1000C23×C17C2514yes—
1001C23×C17C2511yescharacteristic
1002C22×D17—22no—
1003C22×D17—41no—
1004C22×D17—41no—
1005C22×D17C2512yes—
1006C22×D17C2511yescharacteristic
1007C22×D17C2511yescharacteristic
1008Q8×C17—24no—
1009Q8×C17—41no—
1010Q8×C17—42no—
1011Q8×C17—42no—
1012D4×C17—24no—
1013D4×C17—28no—
1014D4×C17—24no—
1015D4×C17—24no—
1016D4×C17—42no—
1017D4×C17—44no—
1018D4×C17—41no—
1019D4×C17—44no—
1020D4×C17—44no—
1021D4×C17—44no—
1022D4×C17—42no—
1023D4×C17—44no—
1024D4×C17—42no—
1025C2×C4×C17—22no—
1026C2×C4×C17—22no—
1027C2×C4×C17—24no—
1028C2×C4×C17—41no—
1029C2×C4×C17—44no—
1030C2×C4×C17—42no—
1031C2×C4×C17—44no—
1032C2×C4×C17—44no—
1033C2×C4×C17C2512yes—
1034C2×C4×C17C2511yescharacteristic
1035C2×C4×C17C2511yescharacteristic
1036C2×C4×C17C2511yescharacteristic
1037C2×C4×C17C2511yescharacteristic
1038C2×C4×C17C2511yescharacteristic
1039C2×C4×C17C2514yes—
1040C2×C4×C17C2514yes—
1041C2×C4×C17C2512yes—
1042C2×C4×C17C2512yes—
1043C2×C4×C17C2511yescharacteristic
1044C22⋊D17—24no—
1045C22⋊D17—42no—
1046C22⋊D17—42no—
1047C22⋊D17—44no—
1048C22⋊D17—44no—
1049C22⋊D17—42no—
1050C22⋊D17—44no—
1051C22⋊D17—44no—
1052C22⋊D17—44no—
1053C22⋊D17—42no—
1054C22⋊D17—44no—
1055C22⋊D17—44no—
1056C22⋊D17—44no—
1057C2×Dic17—22no—
1058C2×Dic17—24no—
1059C2×Dic17—22no—
1060C2×Dic17—28no—
1061C2×Dic17—24no—
1062C2×Dic17—28no—
1063C2×Dic17—41no—
1064C2×Dic17—44no—
1065C2×Dic17—44no—
1066C2×Dic17—44no—
1067C2×Dic17—42no—
1068C2×Dic17—44no—
1069C2×Dic17—44no—
1070C2×Dic17—42no—
1071C2×Dic17—44no—
1072C2×Dic17—44no—
1073C2×Dic17C2512yes—
1074C2×Dic17C2511yescharacteristic
1075C2×Dic17C2511yescharacteristic
1076C2×Dic17C2511yescharacteristic
1077C2×Dic17C2512yes—
1078C2×Dic17C2514yes—
1079C2×Dic17C2514yes—
1080C2×Dic17C2514yes—
1081C2×Dic17C2511yescharacteristic
1082C2×Dic17C2511yescharacteristic
1083C2×Dic17C2512yes—
1084C2×Dic17C2514yes—
1085C2×Dic17C2511yescharacteristic
1086D68—42no—
1087D68—42no—
1088D68—41no—
1089C4×D17—22no—
1090C4×D17—22no—
1091C4×D17—24no—
1092C4×D17—22no—
1093C4×D17—22no—
1094C4×D17—24no—
1095C4×D17—41no—
1096C4×D17—41no—
1097C4×D17—41no—
1098C4×D17—41no—
1099C4×D17—41no—
1100C4×D17—41no—
1101C4×D17—41no—
1102C4×D17—41no—
1103C4×D17—44no—
1104C4×D17—42no—
1105C4×D17—44no—
1106Dic34—24no—
1107Dic34—42no—
1108Dic34—42no—
1109Dic34—44no—
1110Dic34—42no—
1111Dic34—44no—
1112Dic34—41no—
1113Dic34—44no—
1114#3568—172no—
1115#3567—172no—
1116#3566—174no—
1117#3565—172no—
1118#3564—172no—
1119#3563—171no—
1120#3562—172no—
1121#3561—171no—
1122#3560—172no—
1123#3559—171no—
1124#3558D1711yescharacteristic, complemented
1125#3557—172no—
1126#3551—172no—
1127#3542—172no—
1128#3541—172no—
1129#3533—174no—
1130#3531—172no—
1131#3529—172no—
1132#3482—172no—
1133#3481—172no—
1134#3480—172no—
1135#3475—174no—
1136#3475—172no—
1137#3461—172no—
1138#3460—172no—
1139#3460—172no—
1140#3459—172no—
1141#3455—174no—
1142#3444—171no—
1143#3444—171no—
1144C2×#529—171no—
1145C22×C17—21no—
1146C22×C17—21no—
1147C22×C17—22no—
1148C22×C17—24no—
1149C22×C17—24no—
1150C22×C17—24no—
1151C22×C17—24no—
1152C22×C17—22no—
1153C22×C17—24no—
1154C22×C17—22no—
1155C22×C17—24no—
1156C22×C17—84no—
1157C22×C17—88no—
1158C22×C17#58512yes—
1159C22×C17C2611yescharacteristic
1160C2×D17—22no—
1161C2×D17—21no—
1162C2×D17—21no—
1163C2×D17—21no—
1164C2×D17—21no—
1165C2×D17—22no—
1166C2×D17—22no—
1167C2×D17—21no—
1168C2×D17—21no—
1169C2×D17—44no—
1170C4×C17—21no—
1171C4×C17—22no—
1172C4×C17—21no—
1173C4×C17—22no—
1174C4×C17—24no—
1175C4×C17—24no—
1176C4×C17—22no—
1177C4×C17—21no—
1178C4×C17—21no—
1179C4×C17—21no—
1180C4×C17#58512yes—
1181Dic17—24no—
1182Dic17—22no—
1183Dic17—22no—
1184Dic17—21no—
1185Dic17—21no—
1186Dic17—24no—
1187Dic17—24no—
1188Dic17—24no—
1189Dic17—22no—
1190Dic17—21no—
1191Dic17—21no—
1192Dic17—21no—
1193Dic17#58512yes—
1194#564—172no—
1195#563—174no—
1196#563—172no—
1197#563—172no—
1198#563—172no—
1199#563—174no—
1200#563—174no—
1201#563—174no—
1202#563—174no—
1203#562—174no—
1204#562—174no—
1205#562—172no—
1206#562—172no—
1207#562—174no—
1208#562—174no—
1209#562C2×D1712yescomplemented
1210H(3,𝔽4)C2×D1712yescomplemented
1211#560—174no—
1212#560—174no—
1213#560—174no—
1214#559—172no—
1215#559—174no—
1216#559C2×D1712yescomplemented
1217#557—172no—
1218#557—172no—
1219#556—172no—
1220#556—174no—
1221#556—174no—
1222#556—172no—
1223#556—174no—
1224#556—172no—
1225#555—172no—
1226#555—174no—
1227#554—172no—
1228#554—172no—
1229#554—174no—
1230#554—172no—
1231#553—174no—
1232#553—174no—
1233#553—174no—
1234#553—174no—
1235#553—174no—
1236#553—172no—
1237#553—172no—
1238#553—174no—
1239#553—172no—
1240#553—172no—
1241#552—174no—
1242#552—174no—
1243#552—174no—
1244#552—172no—
1245#552—174no—
1246#552—172no—
1247#552—174no—
1248#552—172no—
1249#552—174no—
1250#552—174no—
1251#552—172no—
1252#551—174no—
1253#551—174no—
1254#551—174no—
1255#551—174no—
1256#551—174no—
1257#551—174no—
1258#551—174no—
1259#551—174no—
1260#550—172no—
1261D4×Q8—172no—
1262#548—172no—
1263#548—172no—
1264#548—172no—
1265#548C2×D1712yes—
1266#547—174no—
1267#547—172no—
1268#547—174no—
1269#547—172no—
1270#546—174no—
1271#546—172no—
1272#546—174no—
1273#546—172no—
1274#546—172no—
1275#546C2×D1714yes—
1276#546C2×D1712yescomplemented
1277D42C2×D1712yes—
1278#544—172no—
1279#544—172no—
1280#544—172no—
1281#543—172no—
1282#542—174no—
1283#542—174no—
1284#542—174no—
1285#542—172no—
1286#542—174no—
1287#542—172no—
1288#542—174no—
1289#542—174no—
1290#542—174no—
1291#542—174no—
1292#542—172no—
1293#542C2×D1712yescomplemented
1294#541—174no—
1295#541—174no—
1296#541—174no—
1297#541—172no—
1298#541—172no—
1299#540—172no—
1300#540—172no—
1301#540—174no—
1302#540—174no—
1303#540—174no—
1304#540—174no—
1305#540—174no—
1306#539—174no—
1307#539—174no—
1308#539—174no—
1309#539—174no—
1310#539—174no—
1311#539—174no—
1312#539—172no—
1313#539—172no—
1314#539—174no—
1315#539—174no—
1316#538—174no—
1317#538—174no—
1318#538—174no—
1319#538—174no—
1320#538—174no—
1321#538—174no—
1322#538—174no—
1323#538—174no—
1324#538—174no—
1325#538—172no—
1326#538C2×D1712yes—
1327#538C2×D1714yescomplemented
1328#537—172no—
1329#537—172no—
1330#537—172no—
1331#536—172no—
1332#536—172no—
1333#535—172no—
1334#535—174no—
1335#535C2×D1712yescomplemented
1336#534—174no—
1337#534C2×D1712yes—
1338#533—171no—
1339#533—171no—
1340#533—171no—
1341#533—171no—
1342#533—174no—
1343#533—172no—
1344#533—174no—
1345#533—171no—
1346#533—171no—
1347#532—171no—
1348#532—171no—
1349#532—172no—
1350#532—171no—
1351#532—174no—
1352#532—171no—
1353#532—174no—
1354#532—171no—
1355#532C2×D1711yescharacteristic
1356#529—172no—
1357#529—172no—
1358#529—174no—
1359#529—171no—
1360#529—172no—
1361#529—172no—
1362#529—172no—
1363#529—172no—
1364#529—172no—
1365#529—172no—
1366#529—172no—
1367#529—172no—
1368#529—172no—
1369#529—172no—
1370#529—171no—
1371#529—174no—
1372#529—172no—
1373#529—174no—
1374#529—172no—
1375#529—174no—
1376#529—174no—
1377#529—174no—
1378#529—174no—
1379#529—172no—
1380#529—172no—
1381#529—174no—
1382#529—174no—
1383#529—174no—
1384#529—174no—
1385#529—172no—
1386#529—172no—
1387#529—172no—
1388#529—172no—
1389#529—171no—
1390#529C2×D1711yescharacteristic
1391C2×#126—172no—
1392C2×#125—171no—
1393C2×#124C2×D1711yescharacteristic
1394#525—172no—
1395#525—172no—
1396#525—171no—
1397#525—171no—
1398#525—172no—
1399#525—172no—
1400#525—174no—
1401#525—174no—
1402#525—174no—
1403#525—174no—
1404#525—174no—
1405#525—172no—
1406C2×#123—172no—
1407C2×C22⋊Q8—171no—
1408C2×#121—171no—
1409C4×#41—172no—
1410C4×#41—172no—
1411C4×#41—171no—
1412C4×#41—172no—
1413C4×#41—171no—
1414C4×#41—172no—
1415C4×#41—172no—
1416C4×#41—174no—
1417C4×#41—174no—
1418C4×#41—172no—
1419C4×#41—172no—
1420C2×C4×Q8—171no—
1421C2×C4×Q8—172no—
1422C2×C4×D4—171no—
1423C2×C4×D4—174no—
1424C2×C4×D4—172no—
1425C2×C4×D4—172no—
1426C2×#117—172no—
1427C2×#117—174no—
1428C22×C42—171no—
1429C2×C17—22no—
1430C2×C17—44no—
1431C2×C17—42no—
1432C2×C17—44no—
1433C2×C17C2×#58511yescharacteristic
1434C2×C17C2×#58511yescharacteristic
1435C2×C17C2×#58511yescharacteristic
1436D17—42no—
1437D17—41no—
1438D17—41no—
1439C2×#41—171no—
1440C2×#41—171no—
1441C2×#41—172no—
1442C2×#41—174no—
1443C2×#41—172no—
1444C2×#41—172no—
1445C2×#41—174no—
1446C2×#41—172no—
1447C2×#41—172no—
1448C2×#41C22×D1712yes—
1449C2×#41C22×D1712yes—
1450C22×Q8—172no—
1451C22×Q8C22×D1711yescharacteristic
1452C22×D4—172no—
1453C22×D4C22×D1711yescharacteristic
1454C22×D4C22×D1714yes—
1455C22×D4C22×D1712yes—
1456C23×C4—172no—
1457C23×C4—174no—
1458C23×C4—171no—
1459C23×C4—171no—
1460C23×C4—171no—
1461C4⋊Q8—171no—
1462C4⋊Q8—174no—
1463C4⋊Q8—172no—
1464C4⋊Q8—174no—
1465C4⋊Q8—174no—
1466C4⋊Q8—171no—
1467C4⋊Q8—171no—
1468C4⋊Q8—174no—
1469C4⋊Q8—174no—
1470C4⋊Q8—174no—
1471C4⋊Q8—172no—
1472C4⋊Q8—171no—
1473C4⋊Q8—171no—
1474C4⋊Q8—172no—
1475C4⋊Q8C22×D1711yescharacteristic
1476#127—171no—
1477#127—174no—
1478#127—174no—
1479#127C22×D1711yescharacteristic
1480#127C22×D1712yes—
1481#126—172no—
1482#126—174no—
1483#126—174no—
1484#126—174no—
1485#126—174no—
1486#126—174no—
1487#126—174no—
1488#126—174no—
1489#126—174no—
1490#126—172no—
1491#126—174no—
1492#126—174no—
1493#126—174no—
1494#126—174no—
1495#126—174no—
1496#126—174no—
1497#126—174no—
1498#126—174no—
1499#126—174no—
1500#126—174no—
1501#126—174no—
1502#126—174no—
1503#126—174no—
1504#126—174no—
1505#126—174no—
1506#126—174no—
1507#126—174no—
1508#126—174no—
1509#126—174no—
1510#126—174no—
1511#126—172no—
1512#126—174no—
1513#126C22×D1712yes—
1514#126C22×D1714yes—
1515#125—172no—
1516#125—172no—
1517#125—172no—
1518#125—172no—
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—172no—
1529#125—174no—
1530#125—174no—
1531#125—174no—
1532#125—174no—
1533#125—174no—
1534#125—172no—
1535#125—172no—
1536#125—172no—
1537#125—172no—
1538#125—172no—
1539#125—171no—
1540#125—174no—
1541#125—172no—
1542#125—174no—
1543#125C22×D1711yescharacteristic
1544#124—172no—
1545#124—172no—
1546#124—174no—
1547#124—172no—
1548#124—174no—
1549#124—174no—
1550#124—174no—
1551#124—174no—
1552#124—172no—
1553#124—172no—
1554#124—174no—
1555#124—174no—
1556#124—174no—
1557#124—174no—
1558#124—174no—
1559#124—174no—
1560#124—174no—
1561#124—171no—
1562#124—174no—
1563#124C22×D1712yes—
1564#124C22×D1712yes—
1565#124C22×D1712yes—
1566#124C22×D1712yes—
1567#124C22×D1712yes—
1568#124C22×D1711yescharacteristic
1569#124C22×D1712yes—
1570#124C22×D1714yes—
1571#124C22×D1714yes—
1572#124C22×D1714yes—
1573#123—174no—
1574#123—174no—
1575#123—174no—
1576#123—174no—
1577#123—174no—
1578#123—174no—
1579#123—174no—
1580#123—174no—
1581#123—174no—
1582#123—174no—
1583#123—174no—
1584#123—174no—
1585#123—174no—
1586#123—174no—
1587#123—174no—
1588#123—172no—
1589#123—174no—
1590#123—174no—
1591#123—174no—
1592#123—174no—
1593#123—172no—
1594#123—172no—
1595#123—174no—
1596#123—174no—
1597#123—174no—
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—174no—
1607#123—174no—
1608#123—174no—
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—
1618#123C22×D1714yes—
1619#123C22×D1714yes—
1620C22⋊Q8—172no—
1621C22⋊Q8—172no—
1622C22⋊Q8—172no—
1623C22⋊Q8—172no—
1624C22⋊Q8—172no—
1625C22⋊Q8—171no—
1626C22⋊Q8—172no—
1627C22⋊Q8—172no—
1628C22⋊Q8—174no—
1629C22⋊Q8—174no—
1630C22⋊Q8—172no—
1631C22⋊Q8—171no—
1632C22⋊Q8—172no—
1633C22⋊Q8—172no—
1634C22⋊Q8—174no—
1635C22⋊Q8—174no—
1636C22⋊Q8—174no—
1637C22⋊Q8—174no—
1638C22⋊Q8—172no—
1639C22⋊Q8—174no—
1640C22⋊Q8—174no—
1641C22⋊Q8—172no—
1642C22⋊Q8—171no—
1643C22⋊Q8—172no—
1644C22⋊Q8—172no—
1645C22⋊Q8—172no—
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—174no—
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⋊Q8C22×D1711yescharacteristic
1669C22⋊Q8C22×D1712yes—
1670C22⋊Q8C22×D1714yes—
1671C22⋊Q8C22×D1714yes—
1672#121—172no—
1673#121—172no—
1674#121—172no—
1675#121—172no—
1676#121—172no—
1677#121—171no—
1678#121—172no—
1679#121—172no—
1680#121—172no—
1681#121—172no—
1682#121—174no—
1683#121—174no—
1684#121—174no—
1685#121—174no—
1686#121—174no—
1687#121—174no—
1688#121—174no—
1689#121—174no—
1690#121—174no—
1691#121—174no—
1692#121—174no—
1693#121—174no—
1694#121—174no—
1695#121—172no—
1696#121—174no—
1697#121—174no—
1698#121—174no—
1699#121—174no—
1700#121—172no—
1701#121—174no—
1702#121—172no—
1703#121—174no—
1704#121—171no—
1705#121—174no—
1706#121—171no—
1707#121—172no—
1708#121—172no—
1709#121—172no—
1710#121—174no—
1711#121—174no—
1712#121—174no—
1713#121—174no—
1714#121—174no—
1715#121C22×D1712yes—
1716#121C22×D1712yes—
1717#121C22×D1711yescharacteristic
1718#121C22×D1714yes—
1719#121C22×D1714yes—
1720#121C22×D1712yes—
1721#121C22×D1714yes—
1722#121C22×D1714yes—
1723#121C22×D1714yes—
1724#120—174no—
1725#120—174no—
1726#120—174no—
1727#120—174no—
1728#120—174no—
1729#120—172no—
1730#120—174no—
1731#120—172no—
1732#120C22×D1714yes—
1733#120C22×D1714yes—
1734#120C22×D1714yes—
1735#120C22×D1714yes—
1736#120C22×D1714yes—
1737C4×Q8—172no—
1738C4×Q8—172no—
1739C4×Q8—172no—
1740C4×Q8—172no—
1741C4×Q8—172no—
1742C4×Q8—172no—
1743C4×Q8—171no—
1744C4×Q8—172no—
1745C4×Q8—172no—
1746C4×Q8—174no—
1747C4×Q8—174no—
1748C4×Q8—172no—
1749C4×Q8—172no—
1750C4×Q8—172no—
1751C4×Q8—172no—
1752C4×Q8—171no—
1753C4×Q8—174no—
1754C4×Q8—172no—
1755C4×Q8—174no—
1756C4×Q8—172no—
1757C4×Q8—172no—
1758C4×Q8—171no—
1759C4×Q8—172no—
1760C4×Q8—172no—
1761C4×Q8—174no—
1762C4×Q8—174no—
1763C4×Q8C22×D1712yes—
1764C4×Q8C22×D1711yescharacteristic
1765C4×D4—172no—
1766C4×D4—172no—
1767C4×D4—174no—
1768C4×D4—172no—
1769C4×D4—172no—
1770C4×D4—174no—
1771C4×D4—174no—
1772C4×D4—174no—
1773C4×D4—172no—
1774C4×D4—172no—
1775C4×D4—174no—
1776C4×D4—174no—
1777C4×D4—174no—
1778C4×D4—174no—
1779C4×D4—172no—
1780C4×D4—172no—
1781C4×D4—174no—
1782C4×D4—174no—
1783C4×D4—172no—
1784C4×D4—174no—
1785C4×D4—172no—
1786C4×D4—171no—
1787C4×D4—172no—
1788C4×D4—174no—
1789C4×D4—174no—
1790C4×D4—172no—
1791C4×D4—174no—
1792C4×D4—172no—
1793C4×D4—172no—
1794C4×D4—174no—
1795C4×D4—172no—
1796C4×D4—174no—
1797C4×D4—174no—
1798C4×D4—174no—
1799C4×D4—174no—
1800C4×D4—174no—
1801C4×D4—172no—
1802C4×D4—172no—
1803C4×D4—172no—
1804C4×D4—171no—
1805C4×D4—174no—
1806C4×D4—174no—
1807C4×D4—174no—
1808C4×D4—174no—
1809C4×D4—172no—
1810C4×D4—172no—
1811C4×D4—174no—
1812C4×D4—172no—
1813C4×D4—174no—
1814C4×D4—172no—
1815C4×D4—174no—
1816C4×D4—172no—
1817C4×D4—174no—
1818C4×D4—172no—
1819C4×D4—172no—
1820C4×D4—174no—
1821C4×D4—174no—
1822C4×D4—172no—
1823C4×D4—171no—
1824C4×D4C22×D1712yes—
1825C4×D4C22×D1712yes—
1826C4×D4C22×D1712yes—
1827C4×D4C22×D1711yescharacteristic
1828C4×D4C22×D1714yes—
1829C4×D4C22×D1714yes—
1830C4×D4C22×D1712yes—
1831#117—172no—
1832#117—174no—
1833#117—172no—
1834#117—174no—
1835#117—172no—
1836#117—171no—
1837#117—171no—
1838#117—172no—
1839#117—172no—
1840#117—172no—
1841#117—172no—
1842#117—174no—
1843#117—174no—
1844#117—172no—
1845#117—174no—
1846#117—174no—
1847#117—174no—
1848#117—174no—
1849#117—174no—
1850#117—174no—
1851#117—174no—
1852#117—174no—
1853#117—174no—
1854#117—174no—
1855#117—174no—
1856#117—172no—
1857#117—172no—
1858#117—174no—
1859#117—174no—
1860#117—174no—
1861#117—174no—
1862#117—172no—
1863#117—172no—
1864#117C22×D1712yes—
1865C2×C4⋊C4—172no—
1866C2×C4⋊C4—172no—
1867C2×C4⋊C4—174no—
1868C2×C4⋊C4—174no—
1869C2×C4⋊C4—171no—
1870C2×C4⋊C4—172no—
1871C2×C4⋊C4—172no—
1872C2×C4⋊C4—174no—
1873C2×C4⋊C4—171no—
1874C2×C4⋊C4—172no—
1875C2×C4⋊C4—172no—
1876C2×C4⋊C4—174no—
1877C2×C22⋊C4—172no—
1878C2×C22⋊C4—174no—
1879C2×C22⋊C4—172no—
1880C2×C22⋊C4—174no—
1881C2×C22⋊C4—174no—
1882C2×C22⋊C4—174no—
1883C2×C22⋊C4—172no—
1884C2×C22⋊C4C22×D1712yes—
1885C2×C22⋊C4C22×D1714yes—
1886C2×C22⋊C4C22×D1712yes—
1887C2×C42—171no—
1888C2×C42—172no—
1889C2×C42—174no—
1890C2×C42—174no—
1891C2×C42—171no—
1892C2×C42—172no—
1893C2×C42—174no—
1894C2×C42—171no—
1895C2×C42—172no—
1896C2×C42—174no—
1897C2×C42—171no—
1898C2×C42—171no—
1899C2×C42—171no—
1900C2×C42—171no—
1901C2×C42—171no—
1902C2×C42—171no—
1903C2×C42—171no—
1904C2×C42—171no—
1905C2×C42C22×D1711yescharacteristic
1906C17#6274311yescharacteristic, complemented, Sylow
1907C24—171no—
1908C24C23×D1712yes—
1909C24C23×D1714yes—
1910#41—44no—
1911#41—44no—
1912#41—684no—
1913#41—682no—
1914#41—684no—
1915#41—688no—
1916#41—682no—
1917#41—684no—
1918#41—688no—
1919#41—684no—
1920#41—684no—
1921C2×Q8—42no—
1922C2×Q8—172no—
1923C2×Q8—171no—
1924C2×Q8—174no—
1925C2×Q8—172no—
1926C2×Q8—172no—
1927C2×Q8—174no—
1928C2×Q8—172no—
1929C2×Q8—174no—
1930C2×Q8—684no—
1931C2×Q8C23×D1712yes—
1932C2×Q8C23×D1712yes—
1933C2×Q8C23×D1712yes—
1934C2×Q8C23×D1711yescharacteristic
1935C2×D4—42no—
1936C2×D4—44no—
1937C2×D4—48no—
1938C2×D4—172no—
1939C2×D4—172no—
1940C2×D4—172no—
1941C2×D4—174no—
1942C2×D4—174no—
1943C2×D4—172no—
1944C2×D4—172no—
1945C2×D4—174no—
1946C2×D4—174no—
1947C2×D4—174no—
1948C2×D4—174no—
1949C2×D4—174no—
1950C2×D4—174no—
1951C2×D4—172no—
1952C2×D4—172no—
1953C2×D4—171no—
1954C2×D4—684no—
1955C2×D4C23×D1714yes—
1956C2×D4C23×D1712yes—
1957C2×D4C23×D1712yes—
1958C2×D4C23×D1712yes—
1959C2×D4C23×D1714yes—
1960C2×D4C23×D1712yes—
1961C2×D4C23×D1712yes—
1962C2×D4C23×D1714yes—
1963C2×D4C23×D1714yes—
1964C2×D4C23×D1714yes—
1965C2×D4C23×D1711yescharacteristic
1966C2×D4C23×D1714yes—
1967C2×D4C23×D1712yes—
1968C22×C4—171no—
1969C22×C4—171no—
1970C22×C4—174no—
1971C22×C4—172no—
1972C22×C4—172no—
1973C22×C4—174no—
1974C22×C4—171no—
1975C22×C4—172no—
1976C22×C4—174no—
1977C22×C4—174no—
1978C22×C4—174no—
1979C22×C4—172no—
1980C22×C4—174no—
1981C22×C4—174no—
1982C22×C4—174no—
1983C22×C4—174no—
1984C22×C4—172no—
1985C22×C4—171no—
1986C22×C4—171no—
1987C22×C4—171no—
1988C22×C4—171no—
1989C22×C4—172no—
1990C22×C4—171no—
1991C22×C4—171no—
1992C22×C4—171no—
1993C22×C4—171no—
1994C22×C4—171no—
1995C22×C4—171no—
1996C22×C4—171no—
1997C22×C4—171no—
1998C22×C4—172no—
1999C22×C4—174no—
2000C22×C4—174no—
2001C22×C4—682no—
2002C22×C4—682no—
2003C22×C4—682no—
2004C22×C4—684no—
2005C22×C4—688no—
2006C22×C4C23×D1711yescharacteristic
2007C22×C4C23×D1711yescharacteristic
2008C22×C4C23×D1712yes—
2009C22×C4C23×D1711yescharacteristic
2010C22×C4C23×D1712yes—
2011C22×C4C23×D1714yes—
2012C22×C4C23×D1714yes—
2013C22×C4C23×D1714yes—
2014C4⋊C4—174no—
2015C4⋊C4—172no—
2016C4⋊C4—172no—
2017C4⋊C4—174no—
2018C4⋊C4—172no—
2019C4⋊C4—172no—
2020C4⋊C4—172no—
2021C4⋊C4—174no—
2022C4⋊C4—172no—
2023C4⋊C4—174no—
2024C4⋊C4—174no—
2025C4⋊C4—174no—
2026C4⋊C4—174no—
2027C4⋊C4—174no—
2028C4⋊C4—174no—
2029C4⋊C4—174no—
2030C4⋊C4—174no—
2031C4⋊C4—174no—
2032C4⋊C4—174no—
2033C4⋊C4—174no—
2034C4⋊C4—174no—
2035C4⋊C4—174no—
2036C4⋊C4—172no—
2037C4⋊C4—174no—
2038C4⋊C4—172no—
2039C4⋊C4—174no—
2040C4⋊C4—174no—
2041C4⋊C4—172no—
2042C4⋊C4—172no—
2043C4⋊C4—174no—
2044C4⋊C4—174no—
2045C4⋊C4—174no—
2046C4⋊C4—171no—
2047C4⋊C4—171no—
2048C4⋊C4—172no—
2049C4⋊C4—172no—
2050C4⋊C4—174no—
2051C4⋊C4—174no—
2052C4⋊C4—174no—
2053C4⋊C4—172no—
2054C4⋊C4—174no—
2055C4⋊C4—172no—
2056C4⋊C4—174no—
2057C4⋊C4—172no—
2058C4⋊C4—172no—
2059C4⋊C4—172no—
2060C4⋊C4—174no—
2061C4⋊C4—172no—
2062C4⋊C4—174no—
2063C4⋊C4—172no—
2064C4⋊C4—172no—
2065C4⋊C4—174no—
2066C4⋊C4C23×D1712yes—
2067C4⋊C4C23×D1714yes—
2068C4⋊C4C23×D1712yes—
2069C4⋊C4C23×D1711yescharacteristic
2070C4⋊C4C23×D1711yescharacteristic
2071C4⋊C4C23×D1712yes—
2072C4⋊C4C23×D1712yes—
2073C4⋊C4C23×D1714yes—
2074C4⋊C4C23×D1712yes—
2075C4⋊C4C23×D1712yes—
2076C22⋊C4—174no—
2077C22⋊C4—172no—
2078C22⋊C4—172no—
2079C22⋊C4—174no—
2080C22⋊C4—172no—
2081C22⋊C4—174no—
2082C22⋊C4—174no—
2083C22⋊C4—174no—
2084C22⋊C4—174no—
2085C22⋊C4—174no—
2086C22⋊C4—174no—
2087C22⋊C4—174no—
2088C22⋊C4—174no—
2089C22⋊C4—174no—
2090C22⋊C4—174no—
2091C22⋊C4—174no—
2092C22⋊C4—174no—
2093C22⋊C4—174no—
2094C22⋊C4—174no—
2095C22⋊C4—174no—
2096C22⋊C4—174no—
2097C22⋊C4—174no—
2098C22⋊C4—174no—
2099C22⋊C4—174no—
2100C22⋊C4—174no—
2101C22⋊C4—172no—
2102C22⋊C4—172no—
2103C22⋊C4—172no—
2104C22⋊C4—172no—
2105C22⋊C4—172no—
2106C22⋊C4—172no—
2107C22⋊C4—174no—
2108C22⋊C4—174no—
2109C22⋊C4—172no—
2110C22⋊C4—174no—
2111C22⋊C4—172no—
2112C22⋊C4—172no—
2113C22⋊C4—172no—
2114C22⋊C4—174no—
2115C22⋊C4C23×D1712yes—
2116C22⋊C4C23×D1714yes—
2117C22⋊C4C23×D1714yes—
2118C22⋊C4C23×D1714yes—
2119C22⋊C4C23×D1714yes—
2120C22⋊C4C23×D1714yes—
2121C22⋊C4C23×D1714yes—
2122C22⋊C4C23×D1712yes—
2123C22⋊C4C23×D1712yes—
2124C22⋊C4C23×D1714yes—
2125C22⋊C4C23×D1714yes—
2126C22⋊C4C23×D1714yes—
2127C22⋊C4C23×D1714yes—
2128C22⋊C4C23×D1714yes—
2129C22⋊C4C23×D1712yes—
2130C22⋊C4C23×D1712yes—
2131C42—171no—
2132C42—171no—
2133C42—171no—
2134C42—172no—
2135C42—172no—
2136C42—174no—
2137C42—171no—
2138C42—171no—
2139C42—174no—
2140C42—171no—
2141C42—171no—
2142C42—171no—
2143C42—171no—
2144C42—171no—
2145C42—171no—
2146C42—171no—
2147C42—174no—
2148C42—172no—
2149C42—174no—
2150C42—174no—
2151C42—174no—
2152C42—172no—
2153C42—172no—
2154C42—174no—
2155C42—174no—
2156C42—174no—
2157C42—174no—
2158C42C23×D1711yescharacteristic
2159C42C23×D1711yescharacteristic
2160C42C23×D1711yescharacteristic
2161C42C23×D1711yescharacteristic
2162C42C23×D1712yes—
2163C42C23×D1714yes—
2164C23—24no—
2165C23—42no—
2166C23—44no—
2167C23—42no—
2168C23—44no—
2169C23—44no—
2170C23—171no—
2171C23—171no—
2172C23—172no—
2173C23—342no—
2174C23—681no—
2175C23—681no—
2176C23C24×D1712yes—
2177C23C24×D1714yes—
2178C23C24×D1714yes—
2179C23C24×D1711yescharacteristic
2180Q8—24no—
2181Q8—42no—
2182Q8—42no—
2183Q8—41no—
2184Q8—344no—
2185Q8—684no—
2186Q8—682no—
2187Q8—681no—
2188Q8—684no—
2189Q8—682no—
2190Q8—682no—
2191Q8—684no—
2192D4—24no—
2193D4—28no—
2194D4—24no—
2195D4—24no—
2196D4—44no—
2197D4—42no—
2198D4—44no—
2199D4—44no—
2200D4—42no—
2201D4—44no—
2202D4—42no—
2203D4—41no—
2204D4—44no—
2205D4—344no—
2206D4—681no—
2207D4—682no—
2208D4—682no—
2209D4—684no—
2210D4—684no—
2211D4—682no—
2212D4—684no—
2213D4—684no—
2214D4—684no—
2215D4—684no—
2216D4—682no—
2217D4—682no—
2218D4—682no—
2219D4—684no—
2220D4—684no—
2221C2×C4—22no—
2222C2×C4—22no—
2223C2×C4—24no—
2224C2×C4—41no—
2225C2×C4—44no—
2226C2×C4—42no—
2227C2×C4—44no—
2228C2×C4—44no—
2229C2×C4—171no—
2230C2×C4—171no—
2231C2×C4—171no—
2232C2×C4—171no—
2233C2×C4—172no—
2234C2×C4—172no—
2235C2×C4—174no—
2236C2×C4—171no—
2237C2×C4—171no—
2238C2×C4—174no—
2239C2×C4—174no—
2240C2×C4—172no—
2241C2×C4—174no—
2242C2×C4—342no—
2243C2×C4—342no—
2244C2×C4—344no—
2245C2×C4—342no—
2246C2×C4—344no—
2247C2×C4—348no—
2248C2×C4—348no—
2249C2×C4—342no—
2250C2×C4—344no—
2251C2×C4—342no—
2252C2×C4—342no—
2253C2×C4—344no—
2254C2×C4—681no—
2255C2×C4—681no—
2256C2×C4—681no—
2257C2×C4—681no—
2258C2×C4—681no—
2259C2×C4—681no—
2260C2×C4—681no—
2261C2×C4—681no—
2262C2×C4—684no—
2263C2×C4—682no—
2264C2×C4—684no—
2265C2×C4—684no—
2266C2×C4—682no—
2267C2×C4—684no—
2268C2×C4—684no—
2269C2×C4—684no—
2270C2×C4—681no—
2271C2×C4—682no—
2272C2×C4—684no—
2273C2×C4—684no—
2274C2×C4—684no—
2275C2×C4C24×D1711yescharacteristic
2276C2×C4C24×D1712yes—
2277C2×C4C24×D1712yes—
2278C2×C4C24×D1714yes—
2279C2×C4C24×D1714yes—
2280C2×C4C24×D1712yes—
2281C2×C4C24×D1711yescharacteristic
2282C2×C4C24×D1711yescharacteristic
2283C2×C4C24×D1711yescharacteristic
2284C2×C4C24×D1711yescharacteristic
2285C2×C4C24×D1711yescharacteristic
2286C22—21no—
2287C22—21no—
2288C22—22no—
2289C22—24no—
2290C22—24no—
2291C22—22no—
2292C22—24no—
2293C22—24no—
2294C22—24no—
2295C22—22no—
2296C22—24no—
2297C22—84no—
2298C22—88no—
2299C22—341no—
2300C22—341no—
2301C22—342no—
2302C22—342no—
2303C22—341no—
2304C22—341no—
2305C22—342no—
2306C22—341no—
2307C22—341no—
2308C22—684no—
2309C22#1176364412yes—
2310C22C25×D1711yescharacteristic
2311C4—21no—
2312C4—21no—
2313C4—22no—
2314C4—21no—
2315C4—22no—
2316C4—21no—
2317C4—21no—
2318C4—22no—
2319C4—24no—
2320C4—24no—
2321C4—172no—
2322C4—341no—
2323C4—342no—
2324C4—344no—
2325C4—344no—
2326C4—341no—
2327C4—341no—
2328C4—344no—
2329C4—341no—
2330C4—341no—
2331C4—342no—
2332C4—342no—
2333C4—344no—
2334C4#1176364412yes—
2335C2—22no—
2336C2—42no—
2337C2—44no—
2338C2—44no—
2339C2—681no—
2340C2—681no—
2341C2—682no—
2342C2D17×#58511yescharacteristic
2343C2C2×#1176364411yescharacteristic
2344C2C2×#1176364411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3558C2
hypercenter#3558D17
hypocenterC17#62743
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3558

Complements

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

NH ≅ G/Ntype
1. #14543478C2semidirect
2. #14543471C2semidirect
3. #14543439C2semidirect
4. #14543435C2semidirect
5. #14543410C2semidirect
6. #14543387C2semidirect
7. #14543368C2semidirect
8. #14543356C2semidirect
9. #14543326C2semidirect
10. #14543322C2semidirect
11. #14543281C2semidirect
12. #14543204C2semidirect
13. #14543105C2semidirect
14. #14543063C2semidirect
15. #14542943C2semidirect
16. #14542928C2semidirect
17. #14542924C2semidirect
18. #14542400C2semidirect
19. #14542385C2semidirect
20. #14542380C2semidirect
21. #14542335C2semidirect
22. #14542335C2semidirect
23. #14542210C2semidirect
24. #14542203C2semidirect
25. #14542197C2semidirect
26. #14542190C2semidirect
27. #14542166C2semidirect
28. #14542079C2semidirect
29. #14542078C2semidirect
30. C2×#11763338C2semidirect
31. C17×#3558C2semidirect
32. C17⋊#564C22semidirect
33. #11763562C22semidirect
34. #11763562C22semidirect
35. #11763560C22semidirect
36. #11763560C22semidirect
37. #11763559C22semidirect
38. #11763559C22semidirect
39. #11763559C22semidirect
40. #11763559C22semidirect
41. #11763554C22semidirect
42. #11763554C22semidirect
43. #11763553C22semidirect
44. #11763553C22semidirect
45. #11763553C22semidirect
46. #11763553C22semidirect
47. #11763548C22semidirect
48. #11763548C22semidirect
49. #11763548C22semidirect
50. #11763545C22semidirect
51. #11763542C22semidirect
52. #11763537C22semidirect
53. #11763535C22semidirect
54. #11763532C22semidirect
55. #11763528C22semidirect
56. #11763528C22semidirect
57. #11763528C22semidirect
58. #11763528C22semidirect
59. #11763528C22semidirect
61. #11763523C22semidirect
62. #11763518C22semidirect
63. #11763518C22semidirect
64. #11763516C22semidirect
65. #11763516C22semidirect
66. #11763511C22semidirect
67. #11763511C22semidirect
68. #11763511C22semidirect
69. #11763509C22semidirect
70. #11763509C22semidirect
71. #11763504C22semidirect
72. #11763504C22semidirect
73. #11763502C22semidirect
74. #11763502C22semidirect
75. #11763502C22semidirect
76. #11763501C22semidirect
77. #11763501C22semidirect
78. #11763499C22semidirect
79. #11763499C22semidirect
80. #11763499C22semidirect
81. #11763499C22semidirect
82. #11763496C22semidirect
83. #11763496C22semidirect
84. #11763496C22semidirect
85. #11763493C22semidirect
86. #11763493C22semidirect
87. #11763490C22semidirect
88. #11763490C22semidirect
89. #11763490C22semidirect
90. #11763490C22semidirect
91. #11763490C22semidirect
92. #11763485C22semidirect
93. #11763485C22semidirect
94. #11763485C22semidirect
96. Q8×C22⋊D17C22semidirect
97. #11763467C22semidirect
98. #11763467C22semidirect
99. #11763466C22semidirect
100. #11763459C22semidirect
101. #11763459C22semidirect
102. #11763458C22semidirect
103. #11763458C22semidirect
105. #11763453C22semidirect
106. #11763453C22semidirect
107. #11763453C22semidirect
108. #11763453C22semidirect
109. #11763438C22semidirect
110. #11763437C22semidirect
111. #11763436C22semidirect
112. #11763435C22semidirect
113. #11763428C22semidirect
114. #11763428C22semidirect
115. #11763427C22semidirect
116. #11763427C22semidirect
117. #11763426C22semidirect
118. #11763425C22semidirect
119. #11763424C22semidirect
120. #11763423C22semidirect
121. #11763423C22semidirect
122. #11763423C22semidirect
123. #11763423C22semidirect
124. #11763421C22semidirect
125. #11763417C22semidirect
126. #11763416C22semidirect
127. #11763416C22semidirect
128. #11763416C22semidirect
130. #11763413C22semidirect
131. #11763412C22semidirect
132. #11763411C22semidirect
133. #11763409C22semidirect
134. #11763409C22semidirect
135. #11763409C22semidirect
136. #11763408C22semidirect
137. #11763405C22semidirect
139. #11763404C22semidirect
140. #11763404C22semidirect
141. #11763403C22semidirect
142. #11763403C22semidirect
143. #11763402C22semidirect
144. #11763401C22semidirect
145. #11763401C22semidirect
146. #11763397C22semidirect
147. #11763397C22semidirect
148. #11763396C22semidirect
149. #11763394C22semidirect
150. #11763394C22semidirect
151. #11763394C22semidirect
152. #11763394C22semidirect
153. #11763394C22semidirect
154. #11763394C22semidirect
155. #11763392C22semidirect
157. #11763387C22semidirect
158. #11763386C22semidirect
159. #11763382C22semidirect
160. #11763379C22semidirect
161. #11763376C22semidirect
162. #11763374C22semidirect
163. #11763368C22semidirect
164. #11763366C22semidirect
165. #11763365C22semidirect
166. #11763364C22semidirect
167. #11763364C22semidirect
168. #11763363C22semidirect
169. #11763361C22semidirect
170. #11763361C22semidirect
171. #11763361C22semidirect
172. #11763361C22semidirect
173. #11763358C22semidirect
174. #11763358C22semidirect
175. #11763357C22semidirect
176. #11763357C22semidirect
177. #11763357C22semidirect
178. #11763356C22semidirect
180. #11763354C22semidirect
181. #11763344C22semidirect
182. #11763343C22semidirect
183. #11763342C22semidirect
184. #11763342C22semidirect
185. #11763342C22semidirect
186. #11763341C22semidirect
187. #11763341C22semidirect
188. #11763340C22semidirect
189. #11763340C22semidirect
190. #11763340C22semidirect
191. #11763340C22semidirect
192. #11763340C22semidirect
193. #11763340C22semidirect
194. #11763340C22semidirect
195. #11763338C22semidirect
196. #11763338C22semidirect
197. #11763338C22semidirect
198. #11763338C22semidirect
199. #11763338C22semidirect
200. #11763338C22semidirect
201. #11763338C22semidirect
202. #11763338C22semidirect
203. #11763338C22semidirect
204. #11763338C22semidirect
205. #11763338C22semidirect
206. #11763338C22semidirect
207. #11763338C22semidirect
208. #11763338C22semidirect
209. #11763337C22semidirect
210. #11763336C22semidirect
211. #11763336C22semidirect
212. #11763336C22semidirect
213. #11763336C22semidirect
214. #11763336C22semidirect
215. C2×#10587565C22semidirect
216. C2×#10587556C22semidirect
217. #11763322C22semidirect
219. #11763319C22semidirect
220. #11763319C22semidirect
221. #11763318C22semidirect
222. #11763317C22semidirect
223. #11763316C22semidirect
224. #11763315C22semidirect
225. #11763315C22semidirect
226. #11763315C22semidirect
227. #11763315C22semidirect
228. #11763315C22semidirect
229. C2×#10587569C22semidirect
230. C2×#10587632C22semidirect
232. #41×Dic17C22semidirect
233. #41×Dic17C22semidirect
234. C4×#63256C22semidirect
235. #11763277C22semidirect
236. C4×#63254C22semidirect
237. C4×#63254C22semidirect
238. C4×#63254C22semidirect
239. C4×#63254C22semidirect
240. C4×#63254C22semidirect
241. C4×#63254C22semidirect
242. C4×#63254C22semidirect
243. C2×Q8×Dic17C22semidirect
244. C4×Q8×D17C22semidirect
246. C2×D4×Dic17C22semidirect
247. C2×D4×Dic17C22semidirect
248. C2×#10587567C22semidirect
249. C2×#10587563C22semidirect
250. C2×#10587563C22semidirect
251. C2×C42×D17C22semidirect
252. C17×#562C22semidirect
253. C17×H(3,𝔽4)C22semidirect
254. C17×#559C22semidirect
257. C17×#546C22semidirect
259. C17×#542C22semidirect
261. C17×#538C22semidirect
262. C17×#535C22semidirect
1124. #3558D17semidirect
1209. #562C2×D17semidirect
1210. H(3,𝔽4)C2×D17semidirect
1216. #559C2×D17semidirect
1276. #546C2×D17semidirect
1293. #542C2×D17semidirect
1327. #538C2×D17semidirect
1335. #535C2×D17semidirect
1906. C17#62743semidirect

Maximal subgroups

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

subgroupindex
#145434782
#145434712
#145434392
#145434352
#145434102
#145433872
#145433682
#145433562
#145433262
#145433222
#145432812
#145432042
#145431052
#145430632
#145429432
#145429282
#145429242
#145424002
#145423852
#145423802
#145423352
#145422102
#145422032
#145421972
#145421902
#145421662
#145420792
#145420782
C2×#117633382
C17×#35582
#6274317