Finite Group Databasebeta

← #17942171

Subgroups — #17942171

Order 4352.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543280C214yesmaximal, complemented
2#14543276C211yesmaximal, characteristic, complemented
3#14543267C212yesmaximal, complemented
4#14543259C212yesmaximal, complemented
5#14543250C212yesmaximal, complemented
6#14543242C212yesmaximal, complemented
7#14543231C214yesmaximal, complemented
8#14543230C211yesmaximal, characteristic, complemented
9#14543226C211yesmaximal, characteristic, complemented
10#14543222C211yesmaximal, characteristic, complemented
11#14543214C211yesmaximal, characteristic, complemented
12#14543197C211yesmaximal, characteristic, complemented
13#14543191C211yesmaximal, characteristic, complemented
14#14543181C211yesmaximal, characteristic, complemented
15#14543084C212yesmaximal, complemented
16#14543080C212yesmaximal, complemented
17#14543075C212yesmaximal, complemented
18#14543067C212yesmaximal, complemented
19#14542929C214yesmaximal, complemented
20#14542406C211yesmaximal, characteristic, complemented
21#14542402C211yesmaximal, characteristic, complemented
22#14542399C211yesmaximal, characteristic, complemented
23#14542382C212yesmaximal, complemented
24#14542375C212yesmaximal, complemented
25Q8×#63252C212yesmaximal, complemented
26#14542362C212yesmaximal, complemented
27#14542217C212yesmaximal, complemented
28#14542215C212yesmaximal, complemented
29#14542211C212yesmaximal, complemented
30#14542209C212yesmaximal, complemented
31#14542167C214yesmaximal, complemented
32#14542077C211yesmaximal, characteristic, complemented
33#14542077C211yesmaximal, characteristic, complemented
34D17×#533C211yesmaximal, characteristic, complemented
35C17×#3482C211yesmaximal, characteristic, complemented
36C17⋊#564C2214yescomplemented
37#11763563C2214yescomplemented
38#11763562C2214yes—
39#11763562C2214yescomplemented
40#11763561C2214yes—
41#11763561C2214yes—
42#11763561C2214yescomplemented
43#11763561C2214yescomplemented
44#11763560C2214yescomplemented
45#11763560C2214yescomplemented
46#11763559C2214yes—
47#11763556C2214yes—
48#11763556C2214yescomplemented
49#11763554C2214yes—
50#11763554C2214yes—
51#11763553C2214yes—
52#11763543C2214yescomplemented
53#11763542C2212yescomplemented
54#11763542C2214yescomplemented
55#11763541C2212yescomplemented
56Q8×Dic34C2212yescomplemented
57#11763539C2212yescomplemented
58#11763538C2211yescharacteristic, complemented
59#11763537C2212yescomplemented
60#11763537C2214yescomplemented
61#11763537C2211yescharacteristic, complemented
62#11763536C2214yescomplemented
63#11763536C2212yescomplemented
64#11763535C2212yescomplemented
65#11763534C2212yescomplemented
66#11763534C2211yescharacteristic, complemented
67#11763533C2211yescharacteristic, complemented
68#11763532C2211yescharacteristic, complemented
69#11763530C2212yes—
70#11763530C2212yescomplemented
71#11763529C2212yes—
72#11763529C2211yescharacteristic, complemented
73#11763527C2212yes—
74#11763527C2212yescomplemented
75#11763527C2214yescomplemented
76#11763526C2214yescomplemented
77#11763520C2212yes—
78#11763519C2212yes—
79#11763519C2214yes—
80#11763517C2212yes—
81#11763517C2212yescomplemented
82#11763515C2214yes—
83#11763514C2212yes—
84#11763514C2214yes—
85#11763514C2212yescomplemented
86#11763514C2214yescomplemented
87#11763513C2214yes—
88#11763513C2214yescomplemented
89#11763512C2212yes—
90#11763510C2214yes—
91#11763509C2212yes—
92#11763509C2214yes—
93#11763506C2212yes—
94#11763504C2214yes—
95#11763503C2212yes—
96#11763503C2214yes—
97#11763499C2212yes—
98#11763498C2212yes—
99#11763498C2214yescomplemented
100#11763493C2212yes—
101#11763492C2214yescomplemented
102#11763491C2214yescomplemented
103#11763478C2212yescomplemented
104#11763477C2212yescomplemented
105Q8×D68C2212yes—
106Q8×D68C2211yescharacteristic, complemented
107D4×Dic34C2211yescharacteristic, complemented
108#11763474C2212yes—
109#11763474C2211yescharacteristic, complemented
110Q8×C22⋊D17C2212yes—
111Q8×C22⋊D17C2212yescomplemented
112#11763472C2212yes—
113#11763472C2212yescomplemented
114#11763471C2212yes—
115#11763469C2212yes—
116#11763469C2212yes—
117#11763468C2212yes—
118#11763467C2212yes—
119#11763466C2212yes—
120#11763466C2212yes—
121#11763464C2212yes—
122#11763464C2211yescharacteristic, complemented
123#11763463C2211yescharacteristic, complemented
124#11763462C2211yescharacteristic, complemented
125#11763461C2212yes—
126#11763458C2212yes—
127#11763440C2212yescomplemented
128#11763439C2212yescomplemented
129#11763437C2212yescomplemented
130#11763436C2212yescomplemented
131#11763433C2212yes—
132#11763432C2212yescomplemented
133#11763431C2212yes—
134#11763431C2214yes—
135#11763431C2212yescomplemented
136#11763430C2214yes—
137#11763429C2214yes—
138#11763429C2214yes—
139#11763428C2212yes—
140#11763427C2214yes—
141#11763427C2214yes—
142#11763426C2212yescomplemented
143#11763425C2214yes—
144#11763424C2212yes—
145#11763424C2212yescomplemented
146#11763423C2214yes—
147#11763422C2212yes—
148#11763421C2214yescomplemented
149#11763420C2212yes—
150#11763419C2212yescomplemented
151#11763419C2212yescomplemented
152#11763418C2214yes—
153#11763418C2214yescomplemented
154#11763417C2212yes—
155#11763417C2212yes—
156#11763417C2212yescomplemented
157#11763417C2212yescomplemented
158#11763417C2214yescomplemented
159#11763416C2214yes—
160#11763416C2214yescomplemented
161#11763411C2214yes—
162#11763409C2214yes—
163#11763407C2214yes—
164#11763407C2214yes—
165#11763406C2214yes—
166#11763406C2214yescomplemented
167#11763405C2214yes—
168#11763405C2214yescomplemented
169#11763402C2214yes—
170#11763402C2214yescomplemented
171#11763401C2214yes—
172#11763401C2214yescomplemented
173#11763400C2214yes—
174#11763400C2214yes—
175#11763398C2214yes—
176#11763395C2214yes—
177#11763393C2214yes—
178#11763391C2214yes—
179#11763390C2212yes—
180#11763389C2212yes—
181#11763388C2212yes—
182#11763387C2212yes—
183#11763385C2212yes—
184#11763384C2212yescomplemented
185#11763383C2212yes—
186#11763383C2212yescomplemented
187#11763382C2212yes—
188#11763382C2212yes—
189#11763380C2212yescomplemented
190#11763379C2212yescomplemented
191#11763366C2211yescharacteristic
192#11763366C2212yescomplemented
193#11763366C2214yescomplemented
194#11763365C2212yes—
195#11763364C2211yescharacteristic
196#11763364C2211yescharacteristic
197#11763363C2211yescharacteristic
198#11763363C2214yes—
199#11763363C2211yescharacteristic
200#11763363C2211yescharacteristic
201#11763363C2211yescharacteristic
202#11763363C2212yes—
203#11763363C2212yes—
204#11763363C2212yescomplemented
205#11763363C2214yescomplemented
206#11763363C2212yescomplemented
207#11763363C2214yescomplemented
208#11763362C2212yes—
209#11763362C2211yescharacteristic
210#11763362C2211yescharacteristic
211#11763362C2214yescomplemented
212#11763361C2212yes—
213#11763361C2212yes—
214#11763356C2211yescharacteristic
215#11763356C2214yes—
216#11763356C2211yescharacteristic
217#11763356C2211yescharacteristic
218#11763356C2211yescharacteristic
219#11763355C2211yescharacteristic
220#11763355C2211yescharacteristic
221C4⋊Q8×D17C2211yescharacteristic
222C4⋊Q8×D17C2211yescharacteristic
223#11763346C2214yes—
224#11763346C2211yescharacteristic
225#11763346C2211yescharacteristic
226#11763346C2211yescharacteristic
227#11763346C2211yescharacteristic
228#11763346C2212yescomplemented
229#11763343C2214yes—
230#11763343C2212yescomplemented
231#11763343C2214yescomplemented
232#11763341C2214yes—
233#11763341C2211yescharacteristic
234#11763341C2211yescharacteristic
235#11763341C2211yescharacteristic
236#11763341C2211yescharacteristic
237#11763341C2212yescomplemented
238#11763341C2214yescomplemented
239#11763339C2214yes—
240#11763339C2212yes—
241#11763339C2212yes—
242#11763339C2214yes—
243#11763339C2212yes—
244#11763339C2212yes—
245#11763339C2214yescomplemented
246#11763337C2214yes—
247#11763337C2214yes—
248#11763337C2212yes—
249#11763337C2212yes—
250#11763337C2212yes—
251#11763337C2212yes—
252#11763337C2214yescomplemented
253#125×D17C2212yes—
254#11763321C2211yescharacteristic
255#11763321C2211yescharacteristic
256#11763318C2212yes—
257#11763318C2212yes—
258#11763318C2212yes—
259#11763318C2212yes—
260#11763316C2211yescharacteristic
261#11763316C2211yescharacteristic
262C22⋊Q8×D17C2212yes—
263C22⋊Q8×D17C2212yes—
264C4×#63256C2212yescomplemented
265C4×#63252C2212yes—
266C4×#63252C2212yes—
267C4×#63252C2214yes—
268C4×#63252C2211yescharacteristic
269C4×#63252C2211yescharacteristic
270C4×#63252C2212yes—
271C4×#63252C2212yes—
272C4×#63252C2212yescomplemented
273#11763277C2214yes—
274C4×#63254C2212yescomplemented
275C2×C4×Dic34C2212yescomplemented
276C4×Q8×D17C2212yes—
277C4×Q8×D17C2212yes—
278C4×Q8×D17C2212yescomplemented
279C4×Q8×D17C2212yescomplemented
280#117×D17C2212yes—
281C2×C42×D17C2211yescharacteristic
282C17×#557C2211yescharacteristic, complemented
283C17×#556C2212yes—
284C17×#556C2211yescharacteristic, complemented
285C17×#552C2212yes—
286C17×#552C2214yescomplemented
287D4×Q8×C17C2211yescharacteristic, complemented
288C17×#548C2212yes—
289C17×#547C2212yes—
290C17×#547C2211yescharacteristic, complemented
291C17×#533C2211yescharacteristic
292C17×#533C2212yescomplemented
293C17×#529C2214yes—
294C17×#529C2212yescomplemented
295C4×#41×C17C2211yescharacteristic
296C4×#41×C17C2211yescharacteristic
297C4×#41×C17C2212yescomplemented
298C2×C4×Q8×C17C2212yescomplemented
299C2×#41×C17C2311yescharacteristic
300C2×#41×C17C2311yescharacteristic
301C2×#41×C17C2312yes—
302C22×Q8×C17C2312yes—
303C2×#63256C2312yes—
304C2×Q8×D17C2312yes—
305C2×Q8×D17C2312yes—
306C2×Q8×D17C2312yes—
307C2×Q8×D17C2312yes—
308C2×#63254C2312yes—
309C2×#63252C2312yes—
310C2×#63252C2312yes—
311C2×#63252C2311yescharacteristic
312C2×#63252C2311yescharacteristic
313C2×#63252C2312yes—
314C2×#63252C2312yes—
315C2×#63252C2312yes—
316C22×C4×D17C2311yescharacteristic
317C22×C4×D17C2311yescharacteristic
318C22×C4×D17C2311yescharacteristic
319C22×Dic34C2312yes—
320C17×C4⋊Q8C2311yescharacteristic
321C17×C4⋊Q8C2312yes—
322C17×C4⋊Q8C2311yescharacteristic
323C17×C4⋊Q8C2312yes—
324C17×#126C2314yes—
325C17×#126C2314yes—
326C17×#126C2314yes—
327C17×#125C2312yes—
328C17×#125C2314yes—
329C17×#125C2312yes—
330C17×#125C2314yes—
331C17×#124C2312yes—
332C17×#124C2314yes—
333C17×#123C2314yes—
334C17×#123C2314yes—
335C17×#123C2314yes—
336C17×C22⋊Q8C2312yes—
337C17×C22⋊Q8C2312yes—
338C17×C22⋊Q8C2312yes—
339C17×C22⋊Q8C2312yes—
340C17×C22⋊Q8C2312yes—
341C17×C22⋊Q8C2314yes—
342C17×C22⋊Q8C2314yes—
343C17×#121C2312yes—
344C17×#121C2314yes—
345C4×Q8×C17C2312yes—
346C4×Q8×C17C2312yes—
347C4×Q8×C17C2311yescharacteristic
348C4×Q8×C17C2311yescharacteristic
349C4×Q8×C17C2314yes—
350C4×Q8×C17C2312yes—
351C4×Q8×C17C2312yes—
352C4×Q8×C17C2314yes—
353C4×Q8×C17C2311yescharacteristic
354C4×Q8×C17C2311yescharacteristic
355C4×Q8×C17C2312yes—
356C4×D4×C17C2311yescharacteristic
357C4×D4×C17C2312yes—
358C4×D4×C17C2311yescharacteristic
359C4×D4×C17C2312yes—
360C4×D4×C17C2311yescharacteristic
361C4×D4×C17C2312yes—
362C4×D4×C17C2312yes—
363C4×D4×C17C2311yescharacteristic
364C4×D4×C17C2314yes—
365C4×D4×C17C2312yes—
366C4×D4×C17C2314yes—
367C17×#117C2312yes—
368C17×#117C2311yescharacteristic
369C17×#117C2312yes—
370C17×#117C2311yescharacteristic
371C17×#117C2314yes—
372C17×#117C2312yes—
373C17×#117C2312yes—
374C17×#117C2314yes—
375C2×C4⋊C4×C17C2314yes—
376C2×C4⋊C4×C17C2312yes—
377C2×C42×C17C2312yes—
378C2×C42×C17C2314yes—
379C2×C42×C17C2311yescharacteristic
380C2×C42×C17C2312yes—
381#10587633C2312yes—
382#10587633C2311yescharacteristic
383#10587633C2311yescharacteristic
384#10587633C2314yes—
385#10587632C2312yes—
386#10587632C2312yes—
387#10587632C2312yes—
388#10587632C2311yescharacteristic
389#10587632C2314yes—
390#10587632C2314yes—
391#10587632C2311yescharacteristic
392#10587632C2314yes—
393#10587632C2312yes—
394#10587632C2312yes—
395#10587632C2311yescharacteristic
396#10587632C2311yescharacteristic
397#10587632C2314yes—
398Q8×Dic17C2312yes—
399Q8×Dic17C2312yes—
400Q8×Dic17C2312yes—
401Q8×Dic17C2312yes—
402Q8×Dic17C2312yes—
403#10587630C2312yes—
404#10587630C2312yes—
405#10587630C2311yescharacteristic
406#10587630C2314yes—
407#10587630C2311yescharacteristic
408#10587630C2314yes—
409#10587630C2314yes—
410#10587630C2312yes—
411#10587630C2312yes—
412#10587626C2311yescharacteristic
413#10587626C2314yes—
414#10587626C2311yescharacteristic
415#10587625C2314yes—
416#10587625C2314yes—
417#10587625C2312yes—
418#10587625C2312yes—
419#10587625C2312yes—
420#10587625C2312yes—
421#10587625C2314yes—
422#10587624C2314yes—
423#10587624C2312yes—
424#10587624C2311yescharacteristic
425#10587624C2314yes—
426#10587624C2311yescharacteristic
427#10587624C2314yes—
428#10587624C2311yescharacteristic
429#10587624C2311yescharacteristic
430#10587623C2312yes—
431#10587623C2312yes—
432#10587622C2312yes—
433#10587622C2314yes—
434#10587622C2314yes—
435#10587622C2311yescharacteristic
436#10587622C2311yescharacteristic
437#10587621C2314yes—
438#10587621C2314yes—
439#10587621C2312yes—
440#10587621C2312yes—
441#10587621C2314yes—
442D4×Dic17C2312yes—
443#10587616C2312yes—
444#10587616C2314yes—
445#10587616C2314yes—
446#10587615C2314yes—
447#10587615C2314yes—
448#10587615C2314yes—
449#10587615C2314yes—
450#10587615C2314yes—
451C4×C22⋊D17C2312yes—
452C4×C22⋊D17C2312yes—
453C4×C22⋊D17C2312yes—
454C4×C22⋊D17C2314yes—
455C4×C22⋊D17C2314yes—
456C4×C22⋊D17C2312yes—
457C4×C22⋊D17C2312yes—
458C4×C22⋊D17C2314yes—
459C4×C22⋊D17C2312yes—
460C4×C22⋊D17C2314yes—
461C4×C22⋊D17C2314yes—
462C4×C22⋊D17C2312yes—
463C4×C22⋊D17C2312yes—
464C4×C22⋊D17C2312yes—
465C4×C22⋊D17C2312yes—
466C4×C22⋊D17C2314yes—
467C4×C22⋊D17C2312yes—
468C4×C22⋊D17C2312yes—
469C4×C22⋊D17C2312yes—
470C4×C22⋊D17C2312yes—
471C4×C22⋊D17C2312yes—
472C4×C22⋊D17C2312yes—
473C4×C22⋊D17C2312yes—
474C4×C22⋊D17C2312yes—
475C4×C22⋊D17C2312yes—
476C4×C22⋊D17C2312yes—
477C4×C22⋊D17C2314yes—
478#10587612C2311yescharacteristic
479#10587612C2311yescharacteristic
480#10587612C2312yes—
481#10587612C2312yes—
482#10587612C2312yes—
483#10587612C2312yes—
484#10587612C2314yes—
485#10587612C2312yes—
486#10587612C2312yes—
487C2×C4⋊Dic17C2312yes—
488#10587610C2312yes—
489#10587610C2312yes—
490#10587610C2312yes—
491#10587610C2312yes—
492#10587610C2312yes—
493#10587610C2314yes—
494#10587610C2314yes—
495#10587610C2314yes—
496#10587610C2314yes—
497#10587610C2314yes—
498#10587610C2314yes—
499#10587610C2314yes—
500C2×#63225C2314yes—
501C2×C4×Dic17C2311yescharacteristic
502C2×C4×Dic17C2311yescharacteristic
503C2×C4×Dic17C2311yescharacteristic
504C2×C4×Dic17C2314yes—
505#10587584C2314yes—
506#10587584C2314yes—
507#10587584C2314yes—
508#10587584C2314yes—
509#10587584C2314yes—
510#10587584C2312yes—
511#10587584C2312yes—
512#10587584C2312yes—
513#10587584C2312yes—
514#10587584C2314yes—
515#10587584C2314yes—
516#10587584C2314yes—
517#10587584C2314yes—
518#10587583C2312yes—
519#10587583C2312yes—
520#10587583C2312yes—
521#10587583C2314yes—
522#10587583C2311yescharacteristic
523#10587583C2311yescharacteristic
524#10587583C2314yes—
525#10587583C2314yes—
526#10587583C2314yes—
527#10587583C2314yes—
528#10587583C2312yes—
529#10587583C2312yes—
530#10587583C2311yescharacteristic
531#10587583C2311yescharacteristic
532#10587582C2314yes—
533#10587582C2314yes—
534#10587582C2314yes—
535#10587582C2314yes—
536#10587582C2314yes—
537#10587582C2314yes—
538#10587582C2314yes—
539#10587582C2314yes—
540#10587582C2312yes—
541#10587582C2312yes—
542#10587582C2314yes—
543#10587582C2314yes—
544#10587582C2314yes—
545#10587582C2314yes—
546#10587582C2312yes—
547#10587582C2312yes—
548#10587582C2314yes—
549#10587581C2312yes—
550#10587581C2311yescharacteristic
551#10587581C2311yescharacteristic
552#10587581C2314yes—
553#10587581C2311yescharacteristic
554#10587581C2311yescharacteristic
555#10587581C2314yes—
556#10587580C2314yes—
557#10587580C2314yes—
558#10587580C2314yes—
559#10587580C2312yes—
560#10587580C2312yes—
561#10587580C2312yes—
562#10587580C2312yes—
563#10587580C2314yes—
564#10587580C2314yes—
565#10587580C2314yes—
566#10587579C2312yes—
567#10587579C2314yes—
568#10587579C2314yes—
569#10587579C2314yes—
570#10587578C2314yes—
571#10587578C2312yes—
572#10587578C2312yes—
573#10587578C2312yes—
574#10587578C2312yes—
575C4⋊C4×D17C2314yes—
576C4⋊C4×D17C2312yes—
577C4⋊C4×D17C2314yes—
578C4⋊C4×D17C2312yes—
579C4⋊C4×D17C2314yes—
580C4⋊C4×D17C2312yes—
581C4⋊C4×D17C2314yes—
582C4⋊C4×D17C2312yes—
583C4⋊C4×D17C2312yes—
584C4⋊C4×D17C2312yes—
585#10587576C2312yes—
586#10587576C2312yes—
587#10587576C2314yes—
588#10587576C2314yes—
589#10587576C2314yes—
590#10587576C2314yes—
591#10587576C2312yes—
592#10587576C2312yes—
593#10587576C2311yescharacteristic
594#10587576C2311yescharacteristic
595#10587576C2311yescharacteristic
596#10587576C2311yescharacteristic
597#10587576C2314yes—
598#10587575C2314yes—
599#10587575C2314yes—
600#10587575C2314yes—
601#10587575C2314yes—
602#10587575C2314yes—
603#10587575C2314yes—
604#10587575C2314yes—
605#10587575C2312yes—
606#10587575C2314yes—
607#10587575C2314yes—
608#10587575C2314yes—
609#10587575C2312yes—
610#10587575C2314yes—
611#10587575C2314yes—
612#10587575C2312yes—
613#10587575C2312yes—
614#10587575C2314yes—
615#10587575C2314yes—
616#10587575C2314yes—
617#10587575C2314yes—
618#10587574C2314yes—
619#10587574C2314yes—
620#10587574C2314yes—
621#10587574C2312yes—
622#10587574C2312yes—
623#10587574C2314yes—
624#10587574C2311yescharacteristic
625#10587574C2314yes—
626#10587574C2311yescharacteristic
627#10587574C2314yes—
628#10587574C2311yescharacteristic
629#10587574C2311yescharacteristic
630#10587574C2312yes—
631#10587574C2312yes—
632#10587574C2312yes—
633#10587574C2312yes—
634#10587573C2312yes—
635#10587573C2312yes—
636#10587573C2312yes—
637#10587573C2312yes—
638#10587573C2312yes—
639#10587573C2314yes—
640#10587573C2314yes—
641#10587573C2314yes—
642#10587573C2314yes—
643#10587573C2314yes—
644#10587573C2314yes—
645#10587572C2314yes—
646#10587572C2314yes—
647#10587572C2312yes—
648#10587572C2312yes—
649#10587572C2314yes—
650#10587571C2314yes—
651#10587571C2314yes—
652#10587571C2314yes—
653#10587571C2314yes—
654#10587571C2312yes—
655#10587571C2314yes—
656#10587571C2312yes—
657#10587571C2314yes—
658#10587571C2312yes—
659#10587571C2312yes—
660#10587571C2314yes—
661#10587571C2314yes—
662#10587570C2314yes—
663#10587570C2314yes—
664#10587570C2314yes—
665#10587570C2314yes—
666#10587570C2312yes—
667#10587570C2312yes—
668#10587570C2312yes—
669#10587570C2312yes—
670#10587570C2314yes—
671#10587569C2314yes—
672#10587569C2314yes—
673#10587569C2314yes—
674#10587569C2314yes—
675#10587569C2314yes—
676#10587569C2314yes—
677#10587569C2314yes—
678#10587569C2312yes—
679#10587569C2312yes—
680#10587569C2312yes—
681#10587569C2312yes—
682#10587569C2314yes—
683#10587568C2312yes—
684#10587568C2312yes—
685#10587567C2314yes—
686#10587567C2314yes—
687#10587567C2314yes—
688#10587567C2314yes—
689#10587567C2314yes—
690C22⋊C4×D17C2314yes—
691#10587565C2314yes—
692#10587565C2314yes—
693#10587565C2314yes—
694#10587565C2314yes—
695#10587565C2314yes—
696#10587565C2314yes—
697#10587565C2314yes—
698#10587565C2314yes—
699#10587565C2314yes—
700#10587565C2312yes—
701#10587565C2312yes—
702#10587565C2312yes—
703#10587565C2312yes—
704#10587565C2314yes—
705#10587565C2314yes—
706#10587564C2314yes—
707#10587564C2314yes—
708#10587564C2314yes—
709#10587564C2314yes—
710#10587564C2314yes—
711#10587564C2314yes—
712#10587564C2314yes—
713#10587564C2314yes—
714#10587564C2312yes—
715#10587564C2312yes—
716#10587564C2312yes—
717#10587564C2312yes—
718#10587564C2314yes—
719#10587563C2314yes—
720#10587563C2314yes—
721#10587562C2314yes—
722#10587562C2314yes—
723#10587562C2314yes—
724#10587562C2314yes—
725#10587562C2314yes—
726#10587561C2312yes—
727#10587561C2314yes—
728#10587561C2314yes—
729C4×D68C2311yescharacteristic
730C4×D68C2311yescharacteristic
731C4×D68C2312yes—
732C4×D68C2312yes—
733C4×D68C2312yes—
734C4×D68C2314yes—
735C4×D68C2314yes—
736C4×D68C2312yes—
737C4×D68C2312yes—
738C4×D68C2311yescharacteristic
739C4×D68C2311yescharacteristic
740C4×D68C2312yes—
741C4×D68C2312yes—
742C4×D68C2312yes—
743C4×D68C2312yes—
744C4×D68C2314yes—
745#10587558C2312yes—
746#10587558C2312yes—
747#10587558C2314yes—
748#10587558C2314yes—
749#10587558C2312yes—
750#10587558C2314yes—
751#10587558C2312yes—
752#10587558C2312yes—
753#10587558C2312yes—
754#10587558C2312yes—
755#10587558C2312yes—
756#10587558C2314yes—
757#10587558C2312yes—
758#10587558C2312yes—
759C42×D17C2311yescharacteristic
760C42×D17C2311yescharacteristic
761C42×D17C2311yescharacteristic
762C42×D17C2311yescharacteristic
763C42×D17C2311yescharacteristic
764C42×D17C2311yescharacteristic
765C42×D17C2311yescharacteristic
766C42×D17C2311yescharacteristic
767C42×D17C2314yes—
768C42×D17C2312yes—
769C42×D17C2314yes—
770C42×D17C2312yes—
771C42×D17C2314yes—
772#10587556C2312yes—
773#10587556C2314yes—
774#10587556C2312yes—
775#10587556C2314yes—
776#10587556C2314yes—
777#10587556C2314yes—
778#10587556C2314yes—
779#10587555C2311yescharacteristic
780#10587555C2312yes—
781#10587555C2311yescharacteristic
782#10587555C2314yes—
783#10587555C2312yes—
784#10587555C2314yes—
785C4×Dic34C2312yes—
786C4×Dic34C2312yes—
787C4×Dic34C2312yes—
788C4×Dic34C2311yescharacteristic
789C4×Dic34C2311yescharacteristic
790C4×Dic34C2314yes—
791C4×Dic34C2312yes—
792C4×Dic34C2312yes—
793C4×Dic34C2314yes—
794C4×Dic34C2312yes—
795C4×Dic34C2312yes—
796C4×Dic34C2314yes—
797C4×Dic34C2314yes—
798C4×Dic34C2311yescharacteristic
799C4×Dic34C2314yes—
800C4×Dic34C2314yes—
801C4×Dic34C2311yescharacteristic
802C4×Dic34C2314yes—
803C4×Dic34C2312yes—
804C4×Dic34C2314yes—
805C4×Dic34C2312yes—
806C4×Dic34C2312yes—
807C4×Dic34C2312yes—
808C4×Dic34C2312yes—
809C4×Dic34C2312yes—
810C23×D17C2411yescharacteristic
811#41×C17—44no—
812#41×C17—42no—
813#41×C17—42no—
814C2×Q8×C17—44no—
815C2×Q8×C17C2412yes—
816C2×Q8×C17C2411yescharacteristic
817C2×Q8×C17C2412yes—
818C2×Q8×C17C2411yescharacteristic
819C2×Q8×C17C2414yes—
820C2×D4×C17C2411yescharacteristic
821C2×D4×C17C2411yescharacteristic
822C2×D4×C17C2414yes—
823C2×D4×C17C2412yes—
824C2×D4×C17C2412yes—
825C22×C4×C17C2412yes—
826C22×C4×C17C2411yescharacteristic
827C22×C4×C17C2411yescharacteristic
828C22×C4×C17C2412yes—
829C22×C4×C17C2411yescharacteristic
830C22×C4×C17C2412yes—
831C22×C4×C17C2412yes—
832C22×C4×C17C2412yes—
833C22×C4×C17C2414yes—
834C22×C4×C17C2414yes—
835C22×C4×C17C2412yes—
836C2×C22⋊D17C2412yes—
837C2×C22⋊D17C2412yes—
838C2×C22⋊D17C2412yes—
839C2×C22⋊D17C2412yes—
840C2×C22⋊D17C2412yes—
841C2×C22⋊D17C2412yes—
842C2×C22⋊D17C2412yes—
843C2×C22⋊D17C2414yes—
844C2×C22⋊D17C2412yes—
845C2×C22⋊D17C2412yes—
846C2×C22⋊D17C2412yes—
847C2×C22⋊D17C2414yes—
848C22×Dic17C2411yescharacteristic
849C22×Dic17C2414yes—
850C22×Dic17C2411yescharacteristic
851C22×Dic17C2411yescharacteristic
852C22×Dic17C2414yes—
853#63256—44no—
854Q8×D17—44no—
855Q8×D17—44no—
856Q8×D17—44no—
857Q8×D17—44no—
858#63254—44no—
859#63252—28no—
860#63252—28no—
861#63252—42no—
862#63252—44no—
863#63252—42no—
864#63252—44no—
865#63252—44no—
866C2×D68C2411yescharacteristic
867C2×D68C2411yescharacteristic
868C2×D68C2412yes—
869C2×D68C2412yes—
870C2×D68C2412yes—
871C2×D68C2412yes—
872C2×D68C2414yes—
873C2×C4×D17—24no—
874C2×C4×D17—42no—
875C2×C4×D17—42no—
876C2×C4×D17C2411yescharacteristic
877C2×C4×D17C2411yescharacteristic
878C2×C4×D17C2411yescharacteristic
879C2×C4×D17C2411yescharacteristic
880C2×C4×D17C2411yescharacteristic
881C2×C4×D17C2411yescharacteristic
882C2×C4×D17C2411yescharacteristic
883C2×C4×D17C2412yes—
884C2×C4×D17C2412yes—
885C2×C4×D17C2412yes—
886C2×C4×D17C2412yes—
887C2×C4×D17C2411yescharacteristic
888C2×C4×D17C2411yescharacteristic
889C2×C4×D17C2411yescharacteristic
890C2×C4×D17C2411yescharacteristic
891C2×C4×D17C2412yes—
892C2×C4×D17C2412yes—
893C2×C4×D17C2414yes—
894C2×C4×D17C2414yes—
895C2×C4×D17C2414yes—
896C2×C4×D17C2414yes—
897C2×C4×D17C2414yes—
898C2×C4×D17C2414yes—
899C2×C4×D17C2411yescharacteristic
900C2×Dic34—44no—
901C2×Dic34C2411yescharacteristic
902C2×Dic34C2412yes—
903C2×Dic34C2412yes—
904C2×Dic34C2411yescharacteristic
905C2×Dic34C2412yes—
906C2×Dic34C2412yes—
907C2×Dic34C2414yes—
908C2×Dic34C2412yes—
909C2×Dic34C2412yes—
910C2×Dic34C2414yes—
911C2×Dic34C2414yes—
912C2×Dic34C2414yes—
913C2×Dic34C2414yes—
914C4⋊C4×C17C2411yescharacteristic
915C4⋊C4×C17C2412yes—
916C4⋊C4×C17C2414yes—
917C4⋊C4×C17C2412yes—
918C4⋊C4×C17C2414yes—
919C4⋊C4×C17C2412yes—
920C4⋊C4×C17C2411yescharacteristic
921C4⋊C4×C17C2412yes—
922C4⋊C4×C17C2414yes—
923C4⋊C4×C17C2414yes—
924C4⋊C4×C17C2414yes—
925C4⋊C4×C17C2412yes—
926C4⋊C4×C17C2414yes—
927C4⋊C4×C17C2414yes—
928C4⋊C4×C17C2412yes—
929C4⋊C4×C17C2414yes—
930C4⋊C4×C17C2412yes—
931C4⋊C4×C17C2411yescharacteristic
932C4⋊C4×C17C2411yescharacteristic
933C4⋊C4×C17C2412yes—
934C22⋊C4×C17C2412yes—
935C22⋊C4×C17C2414yes—
936C22⋊C4×C17C2414yes—
937C22⋊C4×C17C2414yes—
938C22⋊C4×C17C2414yes—
939C22⋊C4×C17C2412yes—
940C22⋊C4×C17C2412yes—
941C22⋊C4×C17C2412yes—
942C22⋊C4×C17C2412yes—
943C22⋊C4×C17C2414yes—
944C22⋊C4×C17C2412yes—
945C42×C17C2412yes—
946C42×C17C2414yes—
947C42×C17C2412yes—
948C42×C17C2411yescharacteristic
949C42×C17C2412yes—
950C42×C17C2414yes—
951C42×C17C2412yes—
952C42×C17C2411yescharacteristic
953C42×C17C2411yescharacteristic
954C42×C17C2411yescharacteristic
955C42×C17C2414yes—
956C42×C17C2412yes—
957C42×C17C2412yes—
958C22⋊Dic17C2414yes—
959C22⋊Dic17C2414yes—
960C22⋊Dic17C2412yes—
961C22⋊Dic17C2412yes—
962C22⋊Dic17C2412yes—
963C22⋊Dic17C2412yes—
964C22⋊Dic17C2412yes—
965C22⋊Dic17C2412yes—
966C22⋊Dic17C2414yes—
967C22⋊Dic17C2412yes—
968C22⋊Dic17C2412yes—
969C22⋊Dic17C2414yes—
970C22⋊Dic17C2412yes—
971C22⋊Dic17C2414yes—
972C22⋊Dic17C2412yes—
973#63227C2412yes—
974#63227C2412yes—
975#63227C2412yes—
976#63227C2412yes—
977#63227C2414yes—
978#63227C2412yes—
979#63227C2412yes—
980#63227C2414yes—
981#63227C2412yes—
982#63227C2414yes—
983#63227C2412yes—
984#63227C2412yes—
985#63227C2412yes—
986#63227C2412yes—
987#63227C2412yes—
988#63227C2412yes—
989#63227C2412yes—
990#63227C2412yes—
991#63227C2412yes—
992#63227C2412yes—
993#63227C2412yes—
994#63227C2412yes—
995#63227C2412yes—
996#63227C2414yes—
997#63227C2414yes—
998#63227C2414yes—
999#63227C2414yes—
1000#63227C2414yes—
1001#63227C2414yes—
1002#63227C2414yes—
1003C4⋊Dic17C2411yescharacteristic
1004C4⋊Dic17C2411yescharacteristic
1005C4⋊Dic17C2414yes—
1006C4⋊Dic17C2412yes—
1007C4⋊Dic17C2412yes—
1008C4⋊Dic17C2414yes—
1009C4⋊Dic17C2414yes—
1010C4⋊Dic17C2412yes—
1011C4⋊Dic17C2412yes—
1012C4⋊Dic17C2412yes—
1013C4⋊Dic17C2411yescharacteristic
1014C4⋊Dic17C2414yes—
1015C4⋊Dic17C2414yes—
1016C4⋊Dic17C2414yes—
1017C4⋊Dic17C2412yes—
1018C4⋊Dic17C2411yescharacteristic
1019C4⋊Dic17C2414yes—
1020C4⋊Dic17C2412yes—
1021C4⋊Dic17C2412yes—
1022C4⋊Dic17C2412yes—
1023C4⋊Dic17C2412yes—
1024C4⋊Dic17C2412yes—
1025C4⋊Dic17C2412yes—
1026C4⋊Dic17C2414yes—
1027#63225C2412yes—
1028#63225C2412yes—
1029#63225C2412yes—
1030#63225C2414yes—
1031#63225C2414yes—
1032#63225C2414yes—
1033#63225C2412yes—
1034#63225C2414yes—
1035#63225C2412yes—
1036#63225C2414yes—
1037#63225C2412yes—
1038#63225C2412yes—
1039#63225C2412yes—
1040#63225C2414yes—
1041#63225C2412yes—
1042#63225C2414yes—
1043#63225C2414yes—
1044#63225C2414yes—
1045#63225C2414yes—
1046#63225C2414yes—
1047#63225C2414yes—
1048#63225C2412yes—
1049#63225C2414yes—
1050#63225C2412yes—
1051#63225C2412yes—
1052#63225C2412yes—
1053#63225C2412yes—
1054#63225C2412yes—
1055#63225C2412yes—
1056#63225C2412yes—
1057#63225C2412yes—
1058#63225C2412yes—
1059#63225C2412yes—
1060#63225C2414yes—
1061#63225C2414yes—
1062#63225C2414yes—
1063#63225C2414yes—
1064#63225C2414yes—
1065#63225C2414yes—
1066#63225C2414yes—
1067C4×Dic17C2412yes—
1068C4×Dic17C2414yes—
1069C4×Dic17C2411yescharacteristic
1070C4×Dic17C2411yescharacteristic
1071C4×Dic17C2412yes—
1072C4×Dic17C2411yescharacteristic
1073C4×Dic17C2411yescharacteristic
1074C4×Dic17C2411yescharacteristic
1075C4×Dic17C2411yescharacteristic
1076C4×Dic17C2411yescharacteristic
1077C4×Dic17C2411yescharacteristic
1078C4×Dic17C2412yes—
1079C4×Dic17C2412yes—
1080C4×Dic17C2412yes—
1081C4×Dic17C2412yes—
1082C4×Dic17C2414yes—
1083C4×Dic17C2414yes—
1084C4×Dic17C2414yes—
1085C4×Dic17C2414yes—
1086C4×Dic17C2414yes—
1087C4×Dic17C2414yes—
1088C4×Dic17C2414yes—
1089C4×Dic17C2411yescharacteristic
1090C4×Dic17C2411yescharacteristic
1091C4×Dic17C2411yescharacteristic
1092C4×Dic17C2411yescharacteristic
1093C4×Dic17C2414yes—
1094#62761—171nomaximal, Sylow
1095C23×C17C2512yes—
1096C23×C17C2511yescharacteristic
1097C23×C17C2512yes—
1098C22×D17—22no—
1099C22×D17—41no—
1100C22×D17—41no—
1101C22×D17C2512yes—
1102C22×D17C2512yes—
1103C22×D17C2511yescharacteristic
1104C22×D17C2511yescharacteristic
1105Q8×C17—24no—
1106Q8×C17—22no—
1107Q8×C17—24no—
1108Q8×C17—22no—
1109Q8×C17—44no—
1110D4×C17—22no—
1111D4×C17—22no—
1112D4×C17—42no—
1113D4×C17—44no—
1114D4×C17—42no—
1115C2×C4×C17—22no—
1116C2×C4×C17—24no—
1117C2×C4×C17—24no—
1118C2×C4×C17—24no—
1119C2×C4×C17—22no—
1120C2×C4×C17—22no—
1121C2×C4×C17—24no—
1122C2×C4×C17—44no—
1123C2×C4×C17—44no—
1124C2×C4×C17—42no—
1125C2×C4×C17—42no—
1126C2×C4×C17C2512yes—
1127C2×C4×C17C2512yes—
1128C2×C4×C17C2511yescharacteristic
1129C2×C4×C17C2511yescharacteristic
1130C2×C4×C17C2512yes—
1131C2×C4×C17C2512yes—
1132C2×C4×C17C2511yescharacteristic
1133C2×C4×C17C2514yes—
1134C2×C4×C17C2512yes—
1135C2×C4×C17C2512yes—
1136C2×C4×C17C2514yes—
1137C2×C4×C17C2511yescharacteristic
1138C2×C4×C17C2511yescharacteristic
1139C2×C4×C17C2511yescharacteristic
1140C22⋊D17—24no—
1141C22⋊D17—24no—
1142C22⋊D17—24no—
1143C22⋊D17—24no—
1144C22⋊D17—42no—
1145C22⋊D17—42no—
1146C22⋊D17—44no—
1147C22⋊D17—42no—
1148C22⋊D17—42no—
1149C22⋊D17—42no—
1150C22⋊D17—42no—
1151C22⋊D17—44no—
1152C2×Dic17—22no—
1153C2×Dic17—44no—
1154C2×Dic17—41no—
1155C2×Dic17—41no—
1156C2×Dic17—44no—
1157C2×Dic17C2514yes—
1158C2×Dic17C2511yescharacteristic
1159C2×Dic17C2511yescharacteristic
1160C2×Dic17C2512yes—
1161C2×Dic17C2512yes—
1162C2×Dic17C2512yes—
1163C2×Dic17C2512yes—
1164C2×Dic17C2511yescharacteristic
1165C2×Dic17C2512yes—
1166C2×Dic17C2512yes—
1167C2×Dic17C2514yes—
1168C2×Dic17C2511yescharacteristic
1169C2×Dic17C2511yescharacteristic
1170C2×Dic17C2511yescharacteristic
1171D68—24no—
1172D68—24no—
1173D68—22no—
1174D68—22no—
1175D68—42no—
1176D68—42no—
1177D68—44no—
1178C4×D17—22no—
1179C4×D17—22no—
1180C4×D17—24no—
1181C4×D17—24no—
1182C4×D17—22no—
1183C4×D17—22no—
1184C4×D17—22no—
1185C4×D17—22no—
1186C4×D17—24no—
1187C4×D17—24no—
1188C4×D17—22no—
1189C4×D17—41no—
1190C4×D17—41no—
1191C4×D17—41no—
1192C4×D17—41no—
1193C4×D17—42no—
1194C4×D17—42no—
1195C4×D17—44no—
1196C4×D17—44no—
1197C4×D17—44no—
1198C4×D17—44no—
1199C4×D17—44no—
1200C4×D17—44no—
1201C4×D172−1+414yes—
1202Dic34—22no—
1203Dic34—24no—
1204Dic34—24no—
1205Dic34—22no—
1206Dic34—24no—
1207Dic34—24no—
1208Dic34—44no—
1209Dic34—42no—
1210Dic34—42no—
1211Dic34—44no—
1212Dic34—44no—
1213Dic34—44no—
1214Dic34—44no—
1215#3557—174no—
1216#3556—171no—
1217#3555—172no—
1218#3555—172no—
1219#3554—172no—
1220#3554—172no—
1221#3553—174no—
1222#3552—171no—
1223#3552—171no—
1224#3552—171no—
1225#3552—171no—
1226#3550—171no—
1227#3550—171no—
1228#3548—171no—
1229#3541—172no—
1230#3541—172no—
1231#3541—172no—
1232#3541—172no—
1233#3531—174no—
1234#3482—171no—
1235#3482—171no—
1236#3482—171no—
1237#3482D1711yescharacteristic, complemented
1238#3480—172no—
1239#3480—172no—
1240Q8×#41—172no—
1241Q8×#41—172no—
1242#3461—172no—
1243#3461—172no—
1244#3461—172no—
1245#3461—172no—
1246#3455—174no—
1247#3444—171no—
1248#3444—171no—
1249C2×#533—171no—
1250C22×C17—21no—
1251C22×C17—22no—
1252C22×C17—22no—
1253C22×C17—22no—
1254C22×C17—22no—
1255C22×C17—21no—
1256C22×C17—21no—
1257C22×C17—22no—
1258C22×C17—22no—
1259C22×C17C2611yescharacteristic
1260C2×D17—21no—
1261C2×D17—21no—
1262C2×D17—21no—
1263C2×D17—22no—
1264C2×D17—22no—
1265C2×D17—22no—
1266C2×D17—22no—
1267C2×D17—21no—
1268C2×D17—21no—
1269C2×D17—22no—
1270C2×D17—22no—
1271C2×D17—44no—
1272C2×D17C2×2−1+412yes—
1273C4×C17—22no—
1274C4×C17—22no—
1275C4×C17—21no—
1276C4×C17—22no—
1277C4×C17—22no—
1278C4×C17—24no—
1279C4×C17—22no—
1280C4×C17—24no—
1281C4×C17—21no—
1282C4×C17—21no—
1283C4×C17—22no—
1284C4×C17C2×2−1+412yes—
1285C4×C17#58512yes—
1286C4×C17#58512yes—
1287Dic17—22no—
1288Dic17—22no—
1289Dic17—21no—
1290Dic17—24no—
1291Dic17—22no—
1292Dic17—22no—
1293Dic17—24no—
1294Dic17—21no—
1295Dic17—21no—
1296Dic17—22no—
1297Dic17—22no—
1298Dic17—21no—
1299Dic17—21no—
1300Dic17C2×2−1+412yes—
1301#564—174no—
1302#563—174no—
1303#563—174no—
1304#563—174no—
1305#563—174no—
1306#563—174no—
1307#563—174no—
1308#563—174no—
1309#563—174no—
1310#563—174no—
1311#563—174no—
1312#562—174no—
1313#562—174no—
1314#562—174no—
1315#562—174no—
1316#562—174no—
1317#559—172no—
1318#559—174no—
1319#559—172no—
1320#559—174no—
1321Q82—172no—
1322Q82—172no—
1323#557—172no—
1324#557—171no—
1325#557—174no—
1326#557—172no—
1327#557—172no—
1328#557—172no—
1329#557—174no—
1330#557—171no—
1331#557—171no—
1332#557C2×D1711yescharacteristic, complemented
1333#556—171no—
1334#556—174no—
1335#556—172no—
1336#556—172no—
1337#556—171no—
1338#556—172no—
1339#556—171no—
1340#556—172no—
1341#556—172no—
1342#556—174no—
1343#556C2×D1712yes—
1344#556C2×D1711yescharacteristic, complemented
1345#554—172no—
1346#554—174no—
1347#554—174no—
1348#554—174no—
1349#554—172no—
1350#554—172no—
1351#554—172no—
1352#554—174no—
1353#554—172no—
1354#554—174no—
1355#554—172no—
1356#554—174no—
1357#553—174no—
1358#553—172no—
1359#553—174no—
1360#553—172no—
1361#553—172no—
1362#553—174no—
1363#553—172no—
1364#553—174no—
1365#552—174no—
1366#552—172no—
1367#552—172no—
1368#552—174no—
1369#552—172no—
1370#552—174no—
1371#552C2×D1712yes—
1372#552C2×D1714yescomplemented
1373#550—172no—
1374#550—172no—
1375D4×Q8—172no—
1376D4×Q8—172no—
1377D4×Q8—172no—
1378D4×Q8—171no—
1379D4×Q8—172no—
1380D4×Q8—172no—
1381D4×Q8—172no—
1382D4×Q8—171no—
1383D4×Q8—171no—
1384D4×Q8C2×D1711yescharacteristic, complemented
1385#548—172no—
1386#548—172no—
1387#548—172no—
1388#548—172no—
1389#548—172no—
1390#548—172no—
1391#548—172no—
1392#548C2×D1712yes—
1393#547—172no—
1394#547—171no—
1395#547—172no—
1396#547—171no—
1397#547—172no—
1398#547—171no—
1399#547C2×D1712yes—
1400#547C2×D1711yescharacteristic, complemented
1401#544—172no—
1402#544—172no—
1403#544—172no—
1404#544—172no—
1405#542—172no—
1406#542—174no—
1407#542—174no—
1408#542—172no—
1409#542—174no—
1410#542—174no—
1411#542—174no—
1412#542—174no—
1413#542—172no—
1414#542—172no—
1415#542—172no—
1416#542—174no—
1417#542—172no—
1418#542—172no—
1419#542—172no—
1420#542—174no—
1421#541—172no—
1422#541—174no—
1423#541—174no—
1424#541—174no—
1425#541—172no—
1426#541—174no—
1427#541—172no—
1428#541—172no—
1429#541—172no—
1430#541—172no—
1431#541—172no—
1432#541—172no—
1433#541—174no—
1434#541—174no—
1435#540—174no—
1436#540—174no—
1437#539—174no—
1438#539—174no—
1439#539—174no—
1440#539—174no—
1441#539—174no—
1442#539—174no—
1443#539—174no—
1444#539—174no—
1445#539—174no—
1446#539—174no—
1447#539—174no—
1448#539—174no—
1449#538—174no—
1450#538—174no—
1451#538—174no—
1452#538—174no—
1453#537—172no—
1454#537—172no—
1455#537—172no—
1456#537—172no—
1457#536—172no—
1458#536—172no—
1459#536—172no—
1460#536—172no—
1461#536—172no—
1462#536—172no—
1463#536—172no—
1464#536—172no—
1465#533—171no—
1466#533—171no—
1467#533—172no—
1468#533—172no—
1469#533—172no—
1470#533—172no—
1471#533—172no—
1472#533—171no—
1473#533—171no—
1474#533—171no—
1475#533—171no—
1476#533—174no—
1477#533—172no—
1478#533—172no—
1479#533—174no—
1480#533—174no—
1481#533—172no—
1482#533—171no—
1483#533—171no—
1484#533—174no—
1485#533—171no—
1486#533—172no—
1487#533—174no—
1488#533C2×D1711yescharacteristic
1489#533C2×D1712yescomplemented
1490#532—171no—
1491#532—171no—
1492#532—171no—
1493#532—171no—
1494#532—171no—
1495#532—171no—
1496#532—174no—
1497C2×C4⋊Q8—171no—
1498C2×C4⋊Q8—171no—
1499#529—171no—
1500#529—171no—
1501#529—171no—
1502#529—171no—
1503#529—174no—
1504#529—172no—
1505#529—171no—
1506#529—171no—
1507#529—172no—
1508#529—172no—
1509#529—172no—
1510#529—172no—
1511#529—171no—
1512#529—171no—
1513#529—174no—
1514#529—174no—
1515#529—174no—
1516#529—174no—
1517#529—172no—
1518#529—174no—
1519#529—172no—
1520#529—172no—
1521#529—172no—
1522#529—172no—
1523#529—174no—
1524#529—174no—
1525#529—174no—
1526#529—174no—
1527#529—172no—
1528#529—174no—
1529#529C2×D1714yes—
1530#529C2×D1712yescomplemented
1531C2×#125—172no—
1532#525—171no—
1533#525—171no—
1534#525—172no—
1535#525—172no—
1536#525—172no—
1537#525—172no—
1538#525—171no—
1539#525—171no—
1540C2×C22⋊Q8—172no—
1541C2×C22⋊Q8—172no—
1542C4×#41—172no—
1543C4×#41—172no—
1544C4×#41—174no—
1545C4×#41—172no—
1546C4×#41—172no—
1547C4×#41—172no—
1548C4×#41—172no—
1549C4×#41—171no—
1550C4×#41—171no—
1551C4×#41—174no—
1552C4×#41—172no—
1553C4×#41C2×D1711yescharacteristic
1554C4×#41C2×D1711yescharacteristic
1555C4×#41C2×D1712yescomplemented
1556C2×C4×Q8—172no—
1557C2×C4×Q8—172no—
1558C2×C4×Q8—172no—
1559C2×C4×Q8—172no—
1560C2×C4×Q8—172no—
1561C2×C4×Q8C2×D1712yescomplemented
1562C2×#117—172no—
1563C22×C42—171no—
1564C2×C17—41no—
1565C2×C17—42no—
1566C2×C17—42no—
1567C2×C17C22×2−1+411yescharacteristic
1568C2×C17C2×#58511yescharacteristic
1569C2×C17C2×#58511yescharacteristic
1570D17—22no—
1571D17—42no—
1572D17—42no—
1573D17—41no—
1574C2×#41—172no—
1575C2×#41—172no—
1576C2×#41—172no—
1577C2×#41—172no—
1578C2×#41—172no—
1579C2×#41—172no—
1580C2×#41—171no—
1581C2×#41—171no—
1582C2×#41—172no—
1583C2×#41C22×D1711yescharacteristic
1584C2×#41C22×D1711yescharacteristic
1585C2×#41C22×D1712yes—
1586C22×Q8—172no—
1587C22×Q8—172no—
1588C22×Q8—172no—
1589C22×Q8—172no—
1590C22×Q8—172no—
1591C22×Q8C22×D1712yes—
1592C23×C4—171no—
1593C23×C4—171no—
1594C23×C4—171no—
1595C4⋊Q8—172no—
1596C4⋊Q8—172no—
1597C4⋊Q8—171no—
1598C4⋊Q8—171no—
1599C4⋊Q8—172no—
1600C4⋊Q8—172no—
1601C4⋊Q8—174no—
1602C4⋊Q8—174no—
1603C4⋊Q8—174no—
1604C4⋊Q8—172no—
1605C4⋊Q8—172no—
1606C4⋊Q8—172no—
1607C4⋊Q8—172no—
1608C4⋊Q8—171no—
1609C4⋊Q8—171no—
1610C4⋊Q8—171no—
1611C4⋊Q8—171no—
1612C4⋊Q8—174no—
1613C4⋊Q8—174no—
1614C4⋊Q8—174no—
1615C4⋊Q8—174no—
1616C4⋊Q8—172no—
1617C4⋊Q8—172no—
1618C4⋊Q8—174no—
1619C4⋊Q8—174no—
1620C4⋊Q8—171no—
1621C4⋊Q8—171no—
1622C4⋊Q8—172no—
1623C4⋊Q8—174no—
1624C4⋊Q8—172no—
1625C4⋊Q8—174no—
1626C4⋊Q8C22×D1711yescharacteristic
1627C4⋊Q8C22×D1711yescharacteristic
1628C4⋊Q8C22×D1712yes—
1629C4⋊Q8C22×D1712yes—
1630#127—171no—
1631#127—171no—
1632#127—174no—
1633#126—172no—
1634#126—172no—
1635#126—172no—
1636#126—172no—
1637#126—174no—
1638#126—174no—
1639#126—174no—
1640#126—174no—
1641#126—174no—
1642#126—174no—
1643#126—174no—
1644#126—174no—
1645#126—174no—
1646#126—172no—
1647#126—172no—
1648#126—172no—
1649#126—172no—
1650#126—174no—
1651#126—174no—
1652#126—174no—
1653#126—174no—
1654#126—174no—
1655#126—174no—
1656#126—174no—
1657#126—174no—
1658#126—174no—
1659#126—174no—
1660#126—174no—
1661#126—174no—
1662#126—174no—
1663#126—174no—
1664#126—174no—
1665#126—174no—
1666#126C22×D1714yes—
1667#126C22×D1714yes—
1668#126C22×D1714yes—
1669#125—174no—
1670#125—174no—
1671#125—172no—
1672#125—172no—
1673#125—171no—
1674#125—171no—
1675#125—171no—
1676#125—171no—
1677#125—172no—
1678#125—172no—
1679#125—172no—
1680#125—172no—
1681#125—174no—
1682#125—174no—
1683#125—174no—
1684#125—174no—
1685#125—174no—
1686#125—174no—
1687#125—174no—
1688#125—174no—
1689#125—174no—
1690#125—172no—
1691#125—172no—
1692#125—174no—
1693#125—174no—
1694#125—174no—
1695#125—174no—
1696#125—174no—
1697#125—174no—
1698#125—174no—
1699#125—174no—
1700#125—174no—
1701#125—174no—
1702#125—172no—
1703#125—174no—
1704#125—174no—
1705#125—172no—
1706#125—174no—
1707#125—174no—
1708#125—174no—
1709#125C22×D1712yes—
1710#125C22×D1714yes—
1711#125C22×D1712yes—
1712#125C22×D1714yes—
1713#124—171no—
1714#124—171no—
1715#124—174no—
1716#124—172no—
1717#124—171no—
1718#124—171no—
1719#124—172no—
1720#124—174no—
1721#124—174no—
1722#124—172no—
1723#124—172no—
1724#124—172no—
1725#124—172no—
1726#124—174no—
1727#124—174no—
1728#124—174no—
1729#124—174no—
1730#124—174no—
1731#124—174no—
1732#124—174no—
1733#124—174no—
1734#124—174no—
1735#124—172no—
1736#124—174no—
1737#124C22×D1714yes—
1738#124C22×D1712yes—
1739#123—172no—
1740#123—172no—
1741#123—174no—
1742#123—174no—
1743#123—174no—
1744#123—174no—
1745#123—174no—
1746#123—174no—
1747#123—174no—
1748#123—174no—
1749#123—172no—
1750#123—172no—
1751#123—172no—
1752#123—172no—
1753#123—174no—
1754#123—174no—
1755#123—174no—
1756#123—174no—
1757#123—174no—
1758#123—174no—
1759#123—172no—
1760#123—172no—
1761#123—172no—
1762#123—172no—
1763#123—172no—
1764#123—172no—
1765#123—174no—
1766#123—174no—
1767#123—174no—
1768#123—174no—
1769#123—174no—
1770#123—174no—
1771#123—174no—
1772#123—174no—
1773#123—174no—
1774#123—174no—
1775#123—174no—
1776#123C22×D1714yes—
1777#123C22×D1714yes—
1778#123C22×D1714yes—
1779C22⋊Q8—172no—
1780C22⋊Q8—172no—
1781C22⋊Q8—171no—
1782C22⋊Q8—171no—
1783C22⋊Q8—171no—
1784C22⋊Q8—171no—
1785C22⋊Q8—174no—
1786C22⋊Q8—172no—
1787C22⋊Q8—172no—
1788C22⋊Q8—174no—
1789C22⋊Q8—172no—
1790C22⋊Q8—174no—
1791C22⋊Q8—174no—
1792C22⋊Q8—172no—
1793C22⋊Q8—172no—
1794C22⋊Q8—174no—
1795C22⋊Q8—172no—
1796C22⋊Q8—174no—
1797C22⋊Q8—172no—
1798C22⋊Q8—174no—
1799C22⋊Q8—172no—
1800C22⋊Q8—174no—
1801C22⋊Q8—174no—
1802C22⋊Q8—174no—
1803C22⋊Q8—174no—
1804C22⋊Q8—172no—
1805C22⋊Q8—172no—
1806C22⋊Q8—174no—
1807C22⋊Q8—174no—
1808C22⋊Q8—171no—
1809C22⋊Q8—171no—
1810C22⋊Q8—172no—
1811C22⋊Q8—172no—
1812C22⋊Q8—171no—
1813C22⋊Q8—171no—
1814C22⋊Q8—172no—
1815C22⋊Q8—172no—
1816C22⋊Q8—174no—
1817C22⋊Q8—172no—
1818C22⋊Q8—174no—
1819C22⋊Q8—174no—
1820C22⋊Q8—174no—
1821C22⋊Q8—174no—
1822C22⋊Q8—172no—
1823C22⋊Q8—174no—
1824C22⋊Q8—172no—
1825C22⋊Q8—174no—
1826C22⋊Q8—174no—
1827C22⋊Q8—174no—
1828C22⋊Q8—174no—
1829C22⋊Q8—174no—
1830C22⋊Q8—174no—
1831C22⋊Q8—174no—
1832C22⋊Q8—174no—
1833C22⋊Q8—174no—
1834C22⋊Q8—174no—
1835C22⋊Q8—174no—
1836C22⋊Q8—174no—
1837C22⋊Q8—172no—
1838C22⋊Q8—172no—
1839C22⋊Q8—172no—
1840C22⋊Q8—172no—
1841C22⋊Q8—174no—
1842C22⋊Q8—174no—
1843C22⋊Q8—174no—
1844C22⋊Q8—174no—
1845C22⋊Q8—174no—
1846C22⋊Q8—174no—
1847C22⋊Q8—174no—
1848C22⋊Q8C22×D1712yes—
1849C22⋊Q8C22×D1712yes—
1850C22⋊Q8C22×D1714yes—
1851C22⋊Q8C22×D1712yes—
1852C22⋊Q8C22×D1712yes—
1853C22⋊Q8C22×D1712yes—
1854C22⋊Q8C22×D1714yes—
1855#121—171no—
1856#121—171no—
1857#121—172no—
1858#121—172no—
1859#121—171no—
1860#121—171no—
1861#121—172no—
1862#121—172no—
1863#121—174no—
1864#121—174no—
1865#121—174no—
1866#121—172no—
1867#121—174no—
1868#121—174no—
1869#121—174no—
1870#121—174no—
1871#121—174no—
1872#121—172no—
1873#121—171no—
1874#121—171no—
1875#121—171no—
1876#121—171no—
1877#121—174no—
1878#121—172no—
1879#121—174no—
1880#121—172no—
1881#121—172no—
1882#121—172no—
1883#121—172no—
1884#121—174no—
1885#121—174no—
1886#121—174no—
1887#121—174no—
1888#121—174no—
1889#121C22×D1714yes—
1890#121C22×D1712yes—
1891#120—172no—
1892#120—172no—
1893#120—172no—
1894#120—172no—
1895C4×Q8—172no—
1896C4×Q8—172no—
1897C4×Q8—172no—
1898C4×Q8—172no—
1899C4×Q8—172no—
1900C4×Q8—172no—
1901C4×Q8—172no—
1902C4×Q8—174no—
1903C4×Q8—174no—
1904C4×Q8—172no—
1905C4×Q8—172no—
1906C4×Q8—174no—
1907C4×Q8—174no—
1908C4×Q8—172no—
1909C4×Q8—174no—
1910C4×Q8—174no—
1911C4×Q8—172no—
1912C4×Q8—171no—
1913C4×Q8—171no—
1914C4×Q8—172no—
1915C4×Q8—174no—
1916C4×Q8—174no—
1917C4×Q8—174no—
1918C4×Q8—174no—
1919C4×Q8—174no—
1920C4×Q8—172no—
1921C4×Q8—172no—
1922C4×Q8—174no—
1923C4×Q8—172no—
1924C4×Q8—172no—
1925C4×Q8—172no—
1926C4×Q8—172no—
1927C4×Q8—171no—
1928C4×Q8—171no—
1929C4×Q8—172no—
1930C4×Q8—172no—
1931C4×Q8—172no—
1932C4×Q8—172no—
1933C4×Q8—172no—
1934C4×Q8—174no—
1935C4×Q8—174no—
1936C4×Q8C22×D1712yes—
1937C4×Q8C22×D1711yescharacteristic
1938C4×Q8C22×D1712yes—
1939C4×Q8C22×D1711yescharacteristic
1940C4×Q8C22×D1714yes—
1941C4×Q8C22×D1712yes—
1942C4×Q8C22×D1712yes—
1943C4×Q8C22×D1714yes—
1944C4×Q8C22×D1711yescharacteristic
1945C4×Q8C22×D1711yescharacteristic
1946C4×Q8C22×D1712yes—
1947C4×D4—172no—
1948C4×D4—172no—
1949C4×D4—172no—
1950C4×D4—172no—
1951C4×D4—172no—
1952C4×D4—172no—
1953C4×D4—172no—
1954C4×D4—172no—
1955C4×D4—172no—
1956C4×D4—172no—
1957C4×D4—172no—
1958C4×D4—172no—
1959C4×D4—172no—
1960C4×D4—174no—
1961C4×D4—172no—
1962C4×D4—172no—
1963C4×D4—174no—
1964C4×D4—172no—
1965C4×D4—172no—
1966C4×D4—172no—
1967C4×D4—172no—
1968C4×D4—172no—
1969C4×D4—172no—
1970C4×D4—174no—
1971C4×D4—174no—
1972C4×D4—174no—
1973C4×D4—174no—
1974C4×D4—174no—
1975C4×D4—174no—
1976C4×D4—174no—
1977C4×D4—174no—
1978C4×D4—172no—
1979C4×D4—174no—
1980C4×D4—174no—
1981C4×D4—174no—
1982C4×D4—174no—
1983C4×D4—174no—
1984C4×D4—171no—
1985C4×D4—171no—
1986C4×D4—172no—
1987C4×D4—172no—
1988C4×D4—172no—
1989C4×D4—172no—
1990C4×D4—172no—
1991C4×D4—172no—
1992C4×D4—172no—
1993C4×D4—172no—
1994C4×D4—174no—
1995C4×D4—171no—
1996C4×D4—171no—
1997C4×D4—174no—
1998C4×D4—174no—
1999C4×D4—172no—
2000C4×D4C22×D1711yescharacteristic
2001C4×D4C22×D1711yescharacteristic
2002C4×D4C22×D1712yes—
2003C4×D4C22×D1712yes—
2004C4×D4C22×D1712yes—
2005C4×D4C22×D1712yes—
2006C4×D4C22×D1711yescharacteristic
2007C4×D4C22×D1711yescharacteristic
2008C4×D4C22×D1714yes—
2009C4×D4C22×D1714yes—
2010C4×D4C22×D1712yes—
2011#117—172no—
2012#117—171no—
2013#117—171no—
2014#117—172no—
2015#117—172no—
2016#117—174no—
2017#117—172no—
2018#117—172no—
2019#117—172no—
2020#117—172no—
2021#117—172no—
2022#117—172no—
2023#117—172no—
2024#117—174no—
2025#117—174no—
2026#117—174no—
2027#117—174no—
2028#117—172no—
2029#117—172no—
2030#117—172no—
2031#117—172no—
2032#117—174no—
2033#117—172no—
2034#117—172no—
2035#117—174no—
2036#117—172no—
2037#117—172no—
2038#117—172no—
2039#117—172no—
2040#117—174no—
2041#117C22×D1712yes—
2042#117C22×D1714yes—
2043#117C22×D1711yescharacteristic
2044#117C22×D1711yescharacteristic
2045#117C22×D1712yes—
2046#117C22×D1712yes—
2047#117C22×D1712yes—
2048#117C22×D1714yes—
2049C2×C4⋊C4—172no—
2050C2×C4⋊C4—174no—
2051C2×C4⋊C4—172no—
2052C2×C4⋊C4—172no—
2053C2×C4⋊C4—174no—
2054C2×C4⋊C4—174no—
2055C2×C4⋊C4—172no—
2056C2×C4⋊C4—172no—
2057C2×C4⋊C4—172no—
2058C2×C4⋊C4—172no—
2059C2×C4⋊C4—174no—
2060C2×C4⋊C4—174no—
2061C2×C4⋊C4C22×D1712yes—
2062C2×C4⋊C4C22×D1714yes—
2063C2×C22⋊C4—174no—
2064C2×C42—174no—
2065C2×C42—171no—
2066C2×C42—171no—
2067C2×C42—171no—
2068C2×C42—174no—
2069C2×C42—171no—
2070C2×C42—171no—
2071C2×C42—172no—
2072C2×C42—172no—
2073C2×C42—174no—
2074C2×C42—174no—
2075C2×C42—171no—
2076C2×C42—171no—
2077C2×C42—171no—
2078C2×C42—171no—
2079C2×C42—171no—
2080C2×C42—171no—
2081C2×C42C22×D1712yes—
2082C2×C42C22×D1712yes—
2083C2×C42C22×D1714yes—
2084C2×C42C22×D1711yescharacteristic
2085C17#6276111yescharacteristic, complemented, Sylow
2086C24—171no—
2087#41—42no—
2088#41—42no—
2089#41—44no—
2090#41—348no—
2091#41—348no—
2092#41—684no—
2093#41—684no—
2094#41—682no—
2095#41—682no—
2096#41—684no—
2097#41—684no—
2098#41—684no—
2099C2×Q8—44no—
2100C2×Q8—172no—
2101C2×Q8—172no—
2102C2×Q8—172no—
2103C2×Q8—171no—
2104C2×Q8—171no—
2105C2×Q8—172no—
2106C2×Q8—174no—
2107C2×Q8—174no—
2108C2×Q8—174no—
2109C2×Q8—174no—
2110C2×Q8—174no—
2111C2×Q8—172no—
2112C2×Q8—172no—
2113C2×Q8—684no—
2114C2×Q8—684no—
2115C2×Q8—684no—
2116C2×Q8—684no—
2117C2×Q8—684no—
2118C2×Q8C23×D1712yes—
2119C2×Q8C23×D1711yescharacteristic
2120C2×Q8C23×D1712yes—
2121C2×Q8C23×D1711yescharacteristic
2122C2×Q8C23×D1714yes—
2123C2×D4—172no—
2124C2×D4—172no—
2125C2×D4—172no—
2126C2×D4—172no—
2127C2×D4—172no—
2128C2×D4—172no—
2129C2×D4—172no—
2130C2×D4—172no—
2131C2×D4—172no—
2132C2×D4—174no—
2133C2×D4—172no—
2134C2×D4—174no—
2135C2×D4—172no—
2136C2×D4—172no—
2137C2×D4—171no—
2138C2×D4—171no—
2139C2×D4—172no—
2140C2×D4—172no—
2141C2×D4—174no—
2142C2×D4C23×D1711yescharacteristic
2143C2×D4C23×D1711yescharacteristic
2144C2×D4C23×D1712yes—
2145C2×D4C23×D1712yes—
2146C2×D4C23×D1714yes—
2147C22×C4—171no—
2148C22×C4—171no—
2149C22×C4—171no—
2150C22×C4—171no—
2151C22×C4—174no—
2152C22×C4—174no—
2153C22×C4—171no—
2154C22×C4—171no—
2155C22×C4—171no—
2156C22×C4—171no—
2157C22×C4—171no—
2158C22×C4—171no—
2159C22×C4—172no—
2160C22×C4—172no—
2161C22×C4—172no—
2162C22×C4—172no—
2163C22×C4—171no—
2164C22×C4—171no—
2165C22×C4—171no—
2166C22×C4—171no—
2167C22×C4—171no—
2168C22×C4—174no—
2169C22×C4—174no—
2170C22×C4—172no—
2171C22×C4—172no—
2172C22×C4—174no—
2173C22×C4—174no—
2174C22×C4—174no—
2175C22×C4—174no—
2176C22×C4—344no—
2177C22×C4—682no—
2178C22×C4—682no—
2179C22×C4C23×D1711yescharacteristic
2180C22×C4C23×D1711yescharacteristic
2181C22×C4C23×D1712yes—
2182C22×C4C23×D1712yes—
2183C22×C4C23×D1712yes—
2184C22×C4C23×D1711yescharacteristic
2185C22×C4C23×D1712yes—
2186C22×C4C23×D1712yes—
2187C22×C4C23×D1712yes—
2188C22×C4C23×D1714yes—
2189C22×C4C23×D1714yes—
2190C4⋊C4—172no—
2191C4⋊C4—174no—
2192C4⋊C4—171no—
2193C4⋊C4—171no—
2194C4⋊C4—172no—
2195C4⋊C4—172no—
2196C4⋊C4—174no—
2197C4⋊C4—172no—
2198C4⋊C4—172no—
2199C4⋊C4—174no—
2200C4⋊C4—174no—
2201C4⋊C4—172no—
2202C4⋊C4—174no—
2203C4⋊C4—174no—
2204C4⋊C4—174no—
2205C4⋊C4—174no—
2206C4⋊C4—174no—
2207C4⋊C4—174no—
2208C4⋊C4—174no—
2209C4⋊C4—174no—
2210C4⋊C4—174no—
2211C4⋊C4—174no—
2212C4⋊C4—174no—
2213C4⋊C4—174no—
2214C4⋊C4—174no—
2215C4⋊C4—174no—
2216C4⋊C4—174no—
2217C4⋊C4—171no—
2218C4⋊C4—171no—
2219C4⋊C4—172no—
2220C4⋊C4—172no—
2221C4⋊C4—172no—
2222C4⋊C4—172no—
2223C4⋊C4—172no—
2224C4⋊C4—172no—
2225C4⋊C4—174no—
2226C4⋊C4—172no—
2227C4⋊C4—172no—
2228C4⋊C4—174no—
2229C4⋊C4—174no—
2230C4⋊C4—172no—
2231C4⋊C4—172no—
2232C4⋊C4—172no—
2233C4⋊C4—172no—
2234C4⋊C4—172no—
2235C4⋊C4—172no—
2236C4⋊C4—172no—
2237C4⋊C4—172no—
2238C4⋊C4—172no—
2239C4⋊C4—172no—
2240C4⋊C4—172no—
2241C4⋊C4—172no—
2242C4⋊C4—174no—
2243C4⋊C4—174no—
2244C4⋊C4—172no—
2245C4⋊C4—172no—
2246C4⋊C4—174no—
2247C4⋊C4—174no—
2248C4⋊C4—172no—
2249C4⋊C4—172no—
2250C4⋊C4—174no—
2251C4⋊C4—172no—
2252C4⋊C4—172no—
2253C4⋊C4—174no—
2254C4⋊C4C23×D1712yes—
2255C4⋊C4C23×D1714yes—
2256C4⋊C4C23×D1711yescharacteristic
2257C4⋊C4C23×D1712yes—
2258C4⋊C4C23×D1714yes—
2259C4⋊C4C23×D1712yes—
2260C4⋊C4C23×D1712yes—
2261C4⋊C4C23×D1712yes—
2262C4⋊C4C23×D1711yescharacteristic
2263C4⋊C4C23×D1712yes—
2264C4⋊C4C23×D1714yes—
2265C4⋊C4C23×D1714yes—
2266C4⋊C4C23×D1714yes—
2267C4⋊C4C23×D1711yescharacteristic
2268C4⋊C4C23×D1711yescharacteristic
2269C4⋊C4C23×D1714yes—
2270C4⋊C4C23×D1714yes—
2271C4⋊C4C23×D1714yes—
2272C4⋊C4C23×D1712yes—
2273C4⋊C4C23×D1712yes—
2274C22⋊C4—174no—
2275C22⋊C4—172no—
2276C22⋊C4—172no—
2277C22⋊C4—174no—
2278C22⋊C4—172no—
2279C22⋊C4—172no—
2280C22⋊C4—174no—
2281C22⋊C4—172no—
2282C22⋊C4—172no—
2283C22⋊C4—172no—
2284C22⋊C4—172no—
2285C22⋊C4—172no—
2286C22⋊C4—174no—
2287C22⋊C4—174no—
2288C22⋊C4—172no—
2289C22⋊C4—174no—
2290C22⋊C4—174no—
2291C22⋊C4—172no—
2292C22⋊C4—172no—
2293C22⋊C4—172no—
2294C22⋊C4—172no—
2295C22⋊C4—172no—
2296C22⋊C4—172no—
2297C22⋊C4—172no—
2298C22⋊C4—172no—
2299C22⋊C4—172no—
2300C22⋊C4—172no—
2301C22⋊C4—174no—
2302C22⋊C4—172no—
2303C22⋊C4—172no—
2304C22⋊C4—174no—
2305C22⋊C4—172no—
2306C22⋊C4—172no—
2307C22⋊C4—174no—
2308C22⋊C4—174no—
2309C22⋊C4—172no—
2310C22⋊C4—172no—
2311C22⋊C4—172no—
2312C22⋊C4—172no—
2313C22⋊C4—174no—
2314C22⋊C4—174no—
2315C22⋊C4—174no—
2316C22⋊C4—172no—
2317C22⋊C4—172no—
2318C22⋊C4—174no—
2319C22⋊C4C23×D1714yes—
2320C22⋊C4C23×D1712yes—
2321C22⋊C4C23×D1712yes—
2322C22⋊C4C23×D1714yes—
2323C22⋊C4C23×D1714yes—
2324C22⋊C4C23×D1712yes—
2325C22⋊C4C23×D1712yes—
2326C22⋊C4C23×D1712yes—
2327C22⋊C4C23×D1714yes—
2328C22⋊C4C23×D1712yes—
2329C22⋊C4C23×D1714yes—
2330C42—171no—
2331C42—171no—
2332C42—171no—
2333C42—171no—
2334C42—171no—
2335C42—171no—
2336C42—171no—
2337C42—171no—
2338C42—171no—
2339C42—171no—
2340C42—172no—
2341C42—172no—
2342C42—172no—
2343C42—172no—
2344C42—174no—
2345C42—174no—
2346C42—174no—
2347C42—174no—
2348C42—174no—
2349C42—174no—
2350C42—174no—
2351C42—174no—
2352C42—174no—
2353C42—171no—
2354C42—171no—
2355C42—172no—
2356C42—172no—
2357C42C23×D1711yescharacteristic
2358C42C23×D1711yescharacteristic
2359C42C23×D1712yes—
2360C42C23×D1712yes—
2361C42C23×D1712yes—
2362C42C23×D1712yes—
2363C42C23×D1714yes—
2364C42C23×D1714yes—
2365C42C23×D1711yescharacteristic
2366C42C23×D1711yescharacteristic
2367C42C23×D1714yes—
2368C42C23×D1712yes—
2369C42C23×D1712yes—
2370C23—171no—
2371C23—171no—
2372C23—172no—
2373C23—172no—
2374C23—342no—
2375C23—681no—
2376C23—681no—
2377C23C24×D1712yes—
2378C23C24×D1711yescharacteristic
2379C23C24×D1712yes—
2380Q8—22no—
2381Q8—24no—
2382Q8—22no—
2383Q8—24no—
2384Q8—44no—
2385Q8—344no—
2386Q8—344no—
2387Q8—344no—
2388Q8—342no—
2389Q8—342no—
2390Q8—344no—
2391Q8—684no—
2392Q8—684no—
2393Q8—684no—
2394Q8—684no—
2395Q8—684no—
2396Q8—682no—
2397Q8—682no—
2398D4—22no—
2399D4—22no—
2400D4—42no—
2401D4—44no—
2402D4—42no—
2403D4—344no—
2404D4—344no—
2405D4—344no—
2406D4—344no—
2407D4—344no—
2408D4—344no—
2409D4—342no—
2410D4—342no—
2411D4—682no—
2412D4—682no—
2413D4—684no—
2414D4—682no—
2415D4—682no—
2416D4—682no—
2417D4—682no—
2418D4—684no—
2419D4—684no—
2420D4—682no—
2421D4—682no—
2422C2×C4—22no—
2423C2×C4—24no—
2424C2×C4—24no—
2425C2×C4—22no—
2426C2×C4—22no—
2427C2×C4—24no—
2428C2×C4—24no—
2429C2×C4—44no—
2430C2×C4—42no—
2431C2×C4—42no—
2432C2×C4—44no—
2433C2×C4—171no—
2434C2×C4—174no—
2435C2×C4—172no—
2436C2×C4—172no—
2437C2×C4—171no—
2438C2×C4—171no—
2439C2×C4—171no—
2440C2×C4—174no—
2441C2×C4—172no—
2442C2×C4—172no—
2443C2×C4—172no—
2444C2×C4—172no—
2445C2×C4—171no—
2446C2×C4—171no—
2447C2×C4—174no—
2448C2×C4—342no—
2449C2×C4—342no—
2450C2×C4—342no—
2451C2×C4—342no—
2452C2×C4—344no—
2453C2×C4—344no—
2454C2×C4—342no—
2455C2×C4—342no—
2456C2×C4—342no—
2457C2×C4—342no—
2458C2×C4—344no—
2459C2×C4—344no—
2460C2×C4—681no—
2461C2×C4—681no—
2462C2×C4—681no—
2463C2×C4—681no—
2464C2×C4—684no—
2465C2×C4—684no—
2466C2×C4—684no—
2467C2×C4—684no—
2468C2×C4—682no—
2469C2×C4—682no—
2470C2×C4—684no—
2471C2×C4—684no—
2472C2×C4—681no—
2473C2×C4—681no—
2474C2×C4—684no—
2475C2×C4—684no—
2476C2×C4C24×D1711yescharacteristic
2477C2×C4C24×D1711yescharacteristic
2478C2×C4C24×D1712yes—
2479C2×C4C24×D1711yescharacteristic
2480C2×C4C24×D1714yes—
2481C2×C4C24×D1712yes—
2482C2×C4C24×D1712yes—
2483C2×C4C24×D1714yes—
2484C2×C4C24×D1712yes—
2485C2×C4C24×D1712yes—
2486C2×C4C24×D1712yes—
2487C2×C4C24×D1711yescharacteristic
2488C2×C4C24×D1711yescharacteristic
2489C2×C4C24×D1711yescharacteristic
2490C22—21no—
2491C22—22no—
2492C22—22no—
2493C22—22no—
2494C22—22no—
2495C22—21no—
2496C22—21no—
2497C22—22no—
2498C22—22no—
2499C22—172no—
2500C22—341no—
2501C22—341no—
2502C22—341no—
2503C22—342no—
2504C22—342no—
2505C22—342no—
2506C22—342no—
2507C22—341no—
2508C22—341no—
2509C22—342no—
2510C22—342no—
2511C22—684no—
2512C22C25×D1711yescharacteristic
2513C4—21no—
2514C4—22no—
2515C4—22no—
2516C4—21no—
2517C4—21no—
2518C4—22no—
2519C4—22no—
2520C4—22no—
2521C4—24no—
2522C4—22no—
2523C4—24no—
2524C4—172no—
2525C4—341no—
2526C4—342no—
2527C4—342no—
2528C4—341no—
2529C4—341no—
2530C4—342no—
2531C4—342no—
2532C4—341no—
2533C4—341no—
2534C4—344no—
2535C4—342no—
2536C4—342no—
2537C4—344no—
2538C42−1+4×D1712yes—
2539C4#1176364512yes—
2540C4#1176364512yes—
2541C2—41no—
2542C2—42no—
2543C2—42no—
2544C2—342no—
2545C2—681no—
2546C2—682no—
2547C2—682no—
2548C2C2×2−1+4×D1711yescharacteristic
2549C2C2×#1176364511yescharacteristic
2550C2C2×#1176364511yescharacteristic
subgroupG/H
centerC2×C4C24×D17
commutator, socle, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC17×#3482C2
hypercenter#3482D17
hypocenterC17#62761
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #14543280C2semidirect
2. #14543276C2semidirect
3. #14543267C2semidirect
4. #14543259C2semidirect
5. #14543250C2semidirect
6. #14543242C2semidirect
7. #14543231C2semidirect
8. #14543230C2semidirect
9. #14543226C2semidirect
10. #14543222C2semidirect
11. #14543214C2semidirect
12. #14543197C2semidirect
13. #14543191C2semidirect
14. #14543181C2semidirect
15. #14543084C2semidirect
16. #14543080C2semidirect
17. #14543075C2semidirect
18. #14543067C2semidirect
19. #14542929C2semidirect
20. #14542406C2semidirect
21. #14542402C2semidirect
22. #14542399C2semidirect
23. #14542382C2semidirect
24. #14542375C2semidirect
25. Q8×#63252C2semidirect
26. #14542362C2semidirect
27. #14542217C2semidirect
28. #14542215C2semidirect
29. #14542211C2semidirect
30. #14542209C2semidirect
31. #14542167C2semidirect
32. #14542077C2semidirect
33. #14542077C2semidirect
34. D17×#533C2semidirect
35. C17×#3482C2semidirect
36. C17⋊#564C22semidirect
37. #11763563C22semidirect
39. #11763562C22semidirect
42. #11763561C22semidirect
43. #11763561C22semidirect
44. #11763560C22semidirect
45. #11763560C22semidirect
48. #11763556C22semidirect
52. #11763543C22semidirect
53. #11763542C22semidirect
54. #11763542C22semidirect
55. #11763541C22semidirect
56. Q8×Dic34C22semidirect
57. #11763539C22semidirect
58. #11763538C22semidirect
59. #11763537C22semidirect
60. #11763537C22semidirect
61. #11763537C22semidirect
62. #11763536C22semidirect
63. #11763536C22semidirect
64. #11763535C22semidirect
65. #11763534C22semidirect
66. #11763534C22semidirect
67. #11763533C22semidirect
68. #11763532C22semidirect
70. #11763530C22semidirect
72. #11763529C22semidirect
74. #11763527C22semidirect
75. #11763527C22semidirect
76. #11763526C22semidirect
81. #11763517C22semidirect
85. #11763514C22semidirect
86. #11763514C22semidirect
88. #11763513C22semidirect
99. #11763498C22semidirect
101. #11763492C22semidirect
102. #11763491C22semidirect
103. #11763478C22semidirect
104. #11763477C22semidirect
106. Q8×D68C22semidirect
107. D4×Dic34C22semidirect
109. #11763474C22semidirect
111. Q8×C22⋊D17C22semidirect
113. #11763472C22semidirect
122. #11763464C22semidirect
123. #11763463C22semidirect
124. #11763462C22semidirect
127. #11763440C22semidirect
128. #11763439C22semidirect
129. #11763437C22semidirect
130. #11763436C22semidirect
132. #11763432C22semidirect
135. #11763431C22semidirect
142. #11763426C22semidirect
145. #11763424C22semidirect
148. #11763421C22semidirect
150. #11763419C22semidirect
151. #11763419C22semidirect
153. #11763418C22semidirect
156. #11763417C22semidirect
157. #11763417C22semidirect
158. #11763417C22semidirect
160. #11763416C22semidirect
166. #11763406C22semidirect
168. #11763405C22semidirect
170. #11763402C22semidirect
172. #11763401C22semidirect
184. #11763384C22semidirect
186. #11763383C22semidirect
189. #11763380C22semidirect
190. #11763379C22semidirect
192. #11763366C22semidirect
193. #11763366C22semidirect
204. #11763363C22semidirect
205. #11763363C22semidirect
206. #11763363C22semidirect
207. #11763363C22semidirect
211. #11763362C22semidirect
228. #11763346C22semidirect
230. #11763343C22semidirect
231. #11763343C22semidirect
237. #11763341C22semidirect
238. #11763341C22semidirect
245. #11763339C22semidirect
252. #11763337C22semidirect
264. C4×#63256C22semidirect
272. C4×#63252C22semidirect
274. C4×#63254C22semidirect
275. C2×C4×Dic34C22semidirect
278. C4×Q8×D17C22semidirect
279. C4×Q8×D17C22semidirect
282. C17×#557C22semidirect
284. C17×#556C22semidirect
286. C17×#552C22semidirect
287. D4×Q8×C17C22semidirect
290. C17×#547C22semidirect
292. C17×#533C22semidirect
294. C17×#529C22semidirect
297. C4×#41×C17C22semidirect
298. C2×C4×Q8×C17C22semidirect
1237. #3482D17semidirect
1332. #557C2×D17semidirect
1344. #556C2×D17semidirect
1372. #552C2×D17semidirect
1384. D4×Q8C2×D17semidirect
1400. #547C2×D17semidirect
1489. #533C2×D17semidirect
1530. #529C2×D17semidirect
1555. C4×#41C2×D17semidirect
1561. C2×C4×Q8C2×D17semidirect
2085. C17#62761semidirect

Maximal subgroups

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

subgroupindex
#145432802
#145432762
#145432672
#145432592
#145432502
#145432422
#145432312
#145432302
#145432262
#145432222
#145432142
#145431972
#145431912
#145431812
#145430842
#145430802
#145430752
#145430672
#145429292
#145424062
#145424022
#145423992
#145423822
#145423752
Q8×#632522
#145423622
#145422172
#145422152
#145422112
#145422092
#145421672
#145420772
D17×#5332
C17×#34822
#6276117