Finite Group Databasebeta

← #17919911

Subgroups — #17919911

Order 4352.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543075C211yesmaximal, characteristic, complemented
2#14542414C211yesmaximal, characteristic, complemented
3#14541016C211yesmaximal, characteristic, complemented
4#14541006C211yesmaximal, characteristic, complemented
5#14540920C211yesmaximal, characteristic, complemented
6#14540872C211yesmaximal, characteristic, complemented
7#14540820C211yesmaximal, characteristic, complemented
8#14540798C211yesmaximal, characteristic, complemented
9#14540627C211yesmaximal, characteristic, complemented
10#14540610C211yesmaximal, characteristic, complemented
11#14540490C211yesmaximal, characteristic, complemented
12#14540473C211yesmaximal, characteristic, complemented
13#14540378C211yesmaximal, characteristic, complemented
14#14540312C211yesmaximal, characteristic, complemented
15#14540288C211yesmaximal, characteristic, complemented
16#14540285C211yesmaximal, characteristic, complemented
17#14540280C211yesmaximal, characteristic, complemented
18#14539871C211yesmaximal, characteristic, complemented
19#14539853C211yesmaximal, characteristic, complemented
20#14539654C211yesmaximal, characteristic, complemented
21#14539631C211yesmaximal, characteristic, complemented
22#14539615C211yesmaximal, characteristic, complemented
23#14539576C211yesmaximal, characteristic, complemented
24#14539033C211yesmaximal, characteristic, complemented
25#14538965C211yesmaximal, characteristic, complemented
26#14538086C211yesmaximal, characteristic, complemented
27#14538060C211yesmaximal, characteristic, complemented
28#14538009C211yesmaximal, characteristic, complemented
29D17×#450C211yesmaximal, characteristic, complemented
30#14537828C211yesmaximal, characteristic, complemented
31C17×#3275C211yesmaximal, characteristic, complemented
32C2×#10587696C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C2×#10587635C2211yescharacteristic, complemented
35C2×#10587597C2211yescharacteristic, complemented
36C2×#10587602C2211yescharacteristic, complemented
37C22×#63230C2211yescharacteristic, complemented
38C2×SD16×D17C2211yescharacteristic, complemented
39C2×SD16×D17C2211yescharacteristic, complemented
40#11763559—21no—
41#11763554—21no—
42#11763529C2211yescharacteristic, complemented
43#11763519C2211yescharacteristic, complemented
44#11763513—21no—
45#11763509—21no—
46#11763506C2211yescharacteristic, complemented
47#11763493C2211yescharacteristic, complemented
48Q8×C22⋊D17C2211yescharacteristic, complemented
49#11763467C2211yescharacteristic, complemented
50#11763458C2211yescharacteristic, complemented
51#11763452C2211yescharacteristic
52#11763451—21no—
53#11763450C2211yescharacteristic
54#11763449—21no—
55#11763447C2211yescharacteristic
56D4×D68C2211yescharacteristic
57D4×D68C2211yescharacteristic
58#11763443—21no—
59#11763443C2211yescharacteristic
60D4×C22⋊D17C2211yescharacteristic
61#11763441—21no—
62#11763429—21no—
63#11763428C2211yescharacteristic, complemented
64#11763417C2211yescharacteristic, complemented
65#11763401—21no—
66#11763393—21no—
67#11763391—21no—
68#11763388C2211yescharacteristic, complemented
69#11763383C2211yescharacteristic, complemented
70#11763377C2211yescharacteristic
71#11763375C2211yescharacteristic
72#11763370—21no—
73#11763367—21no—
74#11763322C2211yescharacteristic
75#11763318C2211yescharacteristic
76#11763316C2211yescharacteristic, complemented
77C22⋊Q8×D17C2211yescharacteristic, complemented
78C2×#10587568—21no—
79#120×D17—21no—
80#11763281C2211yescharacteristic
81#11763202C2211yescharacteristic, complemented
82#11763199C2211yescharacteristic, complemented
83#11763180C2211yescharacteristic, complemented
84#11763172C2211yescharacteristic, complemented
85#11763168C2211yescharacteristic, complemented
86#11763165C2211yescharacteristic, complemented
87#11763156C2211yescharacteristic, complemented
88#11763153C2211yescharacteristic, complemented
89#11763149C2211yescharacteristic, complemented
90#11763148C2211yescharacteristic, complemented
91#11763147C2211yescharacteristic, complemented
92#11763143C2211yescharacteristic, complemented
93#11763134C2211yescharacteristic, complemented
94#11763134C2211yescharacteristic, complemented
95#11763131C2211yescharacteristic, complemented
96#11763130C2211yescharacteristic, complemented
97#11763129C2211yescharacteristic, complemented
98#11763129C2211yescharacteristic, complemented
99#11763121C2211yescharacteristic, complemented
100#11763111C2211yescharacteristic, complemented
101#11763108C2211yescharacteristic, complemented
102#11763099C2211yescharacteristic, complemented
103#11763090C2211yescharacteristic, complemented
104#11763065C2211yescharacteristic, complemented
105#11763058C2211yescharacteristic, complemented
106#11763057C2211yescharacteristic, complemented
107#11763055C2211yescharacteristic, complemented
108#11763055C2211yescharacteristic, complemented
109#11763052C2211yescharacteristic, complemented
110#11763047C2211yescharacteristic, complemented
111#11763044C2211yescharacteristic, complemented
112#11763043C2211yescharacteristic, complemented
113#11763041C2211yescharacteristic, complemented
114#11763041C2211yescharacteristic, complemented
115#11763036C2211yescharacteristic, complemented
116#11763035C2211yescharacteristic, complemented
117#11763035C2211yescharacteristic, complemented
118#11763033C2211yescharacteristic, complemented
119#11763028C2211yescharacteristic, complemented
120#11763026C2211yescharacteristic, complemented
121#11763021C2211yescharacteristic, complemented
122#11763013C2211yescharacteristic, complemented
123#11763012C2211yescharacteristic, complemented
124#11763010C2211yescharacteristic, complemented
125#11763009C2211yescharacteristic, complemented
126#11763007C2211yescharacteristic, complemented
127#11763002C2211yescharacteristic, complemented
128#11762974C2211yescharacteristic, complemented
129#11762971C2211yescharacteristic, complemented
130#11762970C2211yescharacteristic, complemented
131#11762970C2211yescharacteristic, complemented
132#11762970C2211yescharacteristic, complemented
133#11762970C2211yescharacteristic, complemented
134#11762963C2211yescharacteristic, complemented
135#11762962C2211yescharacteristic, complemented
136#11762962C2211yescharacteristic, complemented
137#11762961C2211yescharacteristic
138#11762961C2211yescharacteristic, complemented
139#11762960C2211yescharacteristic, complemented
140#11762959C2211yescharacteristic, complemented
141#11762958C2211yescharacteristic
142#11762958C2211yescharacteristic
143#11762958C2211yescharacteristic, complemented
144#11762958C2211yescharacteristic, complemented
145#11762958C2211yescharacteristic, complemented
146#11762958C2211yescharacteristic, complemented
147#11762958C2211yescharacteristic, complemented
148#11762958C2211yescharacteristic, complemented
149#11762955C2211yescharacteristic, complemented
150#11762954C2211yescharacteristic, complemented
151#11762953C2211yescharacteristic, complemented
152#11762951C2211yescharacteristic, complemented
153#11762949C2211yescharacteristic, complemented
154#11762948C2211yescharacteristic, complemented
155#11762942C2211yescharacteristic, complemented
156#11762941C2211yescharacteristic
157#11762941C2211yescharacteristic, complemented
158#11762941C2211yescharacteristic, complemented
159#11762941C2211yescharacteristic, complemented
160#11762918C2211yescharacteristic, complemented
161#11762910C2211yescharacteristic, complemented
162#11762909C2211yescharacteristic, complemented
163#11762907C2211yescharacteristic, complemented
164C4×#63219C2211yescharacteristic, complemented
165#11762894C2211yescharacteristic, complemented
166D8×Dic17C2211yescharacteristic, complemented
167#11762885C2211yescharacteristic, complemented
168#11762883C2211yescharacteristic, complemented
169#11762881C2211yescharacteristic, complemented
170#11762879C2211yescharacteristic, complemented
171#11762878C2211yescharacteristic, complemented
172C8×D68C2211yescharacteristic, complemented
173#11762872C2211yescharacteristic, complemented
174#11762869C2211yescharacteristic, complemented
175#11762868C2211yescharacteristic, complemented
176#11762815C2211yescharacteristic, complemented
177#11762815C2211yescharacteristic, complemented
178#11762814C2211yescharacteristic, complemented
179#11762809C2211yescharacteristic, complemented
180#11762805C2211yescharacteristic, complemented
181#102×D17C2211yescharacteristic, complemented
182#102×D17C2211yescharacteristic, complemented
183#102×D17C2211yescharacteristic, complemented
184#11762777C2211yescharacteristic, complemented
185#11762774C2211yescharacteristic, complemented
186#11762772C2211yescharacteristic, complemented
187C22⋊C8×D17C2211yescharacteristic, complemented
188C2×C17×#137C2211yescharacteristic, complemented
189C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
190C17×#548C2211yescharacteristic, complemented
191C17×#546C2211yescharacteristic
192C17×#495C2211yescharacteristic, complemented
193C17×#470C2211yescharacteristic, complemented
194C17×#469C2211yescharacteristic, complemented
195C17×#464C2211yescharacteristic, complemented
196C17×#463C2211yescharacteristic, complemented
197C17×#452C2211yescharacteristic, complemented
198C17×#450C2211yescharacteristic, complemented
199C17×#449C2211yescharacteristic, complemented
200C17×#448C2211yescharacteristic, complemented
201C4×SD16×C17C2211yescharacteristic, complemented
202C17×#436C2211yescharacteristic, complemented
203C24×D17—21no—
204C2×#41×C17C2311yescharacteristic
205C2×#41×C17C2311yescharacteristic
206C22×Q8×C17C2311yescharacteristic, complemented
207C22×D4×C17C2311yescharacteristic
208C22×C22⋊D17—21no—
209C22×C22⋊D17—21no—
210#10587696—42no—
211#10587696—42no—
212C2×#63256C2311yescharacteristic
213C2×#63256C2311yescharacteristic
214C2×Q8×D17C2311yescharacteristic
215C2×#63254C2311yescharacteristic, complemented
216C2×D4×D17—21no—
217C2×D4×D17—21no—
218C2×D4×D17—21no—
219C2×D4×D17—21no—
220C2×D4×D17—21no—
221C2×D4×D17—21no—
222C2×D4×D17—42no—
223C2×D4×D17—42no—
224C2×D4×D17C2311yescharacteristic
225C2×D4×D17C2311yescharacteristic
226C2×D4×D17C2311yescharacteristic
227C2×D4×D17C2311yescharacteristic
228C2×D4×D17C2311yescharacteristic
229C2×#63252—21no—
230C2×#63252C2311yescharacteristic
231C22×D68—21no—
232C22×D68—21no—
233C22×D68C2311yescharacteristic
234C22×D68C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C17×#137—42no—
237C17×AGL(1,ℤ/8)—42no—
238C2×Q16×C17C2311yescharacteristic, complemented
239C2×Q16×C17C2311yescharacteristic, complemented
240C2×SD16×C17C2311yescharacteristic
241C2×SD16×C17C2311yescharacteristic
242C2×SD16×C17C2311yescharacteristic
243C2×SD16×C17C2311yescharacteristic
244C2×SD16×C17C2311yescharacteristic, complemented
245C2×D8×C17C2311yescharacteristic
246C2×D8×C17C2311yescharacteristic
247C2×M16×C17C2311yescharacteristic
248C2×M16×C17C2311yescharacteristic, complemented
249C17×#124—21no—
250C17×#124C2311yescharacteristic
251C17×#124C2311yescharacteristic, complemented
252C17×#123—21no—
253C17×C22⋊Q8—21no—
254C17×C22⋊Q8C2311yescharacteristic
255C17×C22⋊Q8C2311yescharacteristic
256C17×#121—21no—
257C17×#121—21no—
258C17×#121C2311yescharacteristic
259C17×#121C2311yescharacteristic, complemented
260C17×#120—21no—
261C4×Q8×C17C2311yescharacteristic, complemented
262C4×D4×C17—21no—
263C4×D4×C17C2311yescharacteristic
264C4×D4×C17C2311yescharacteristic
265C2×C22⋊C4×C17—21no—
266#10587639—21no—
267#10587635—42no—
268#10587633—21no—
269#10587633C2311yescharacteristic
270#10587632—21no—
271#10587632C2311yescharacteristic
272#10587632C2311yescharacteristic
273#10587632C2311yescharacteristic
274#10587632C2311yescharacteristic
275#10587632C2311yescharacteristic, complemented
276#10587632C2311yescharacteristic, complemented
277Q8×Dic17C2311yescharacteristic, complemented
278#10587630—21no—
279#10587630—21no—
280#10587630C2311yescharacteristic, complemented
281C2×#63231C2311yescharacteristic, complemented
282C2×#63230—42no—
283C2×#63230C2311yescharacteristic
284C2×#63230C2311yescharacteristic
285C2×#63230C2311yescharacteristic
286C2×#63230C2311yescharacteristic
287C2×#63230C2311yescharacteristic, complemented
288C2×#63230C2311yescharacteristic, complemented
289#10587626—21no—
290#10587626C2311yescharacteristic
291#10587625—21no—
292#10587625—21no—
293#10587625—21no—
294#10587625—21no—
295#10587625D411yescharacteristic
296#10587624—21no—
297#10587624—21no—
298#10587624C2311yescharacteristic
299#10587624C2311yescharacteristic
300#10587624C2311yescharacteristic
301#10587623—21no—
302#10587623—21no—
303#10587623—21no—
304#10587623—21no—
305#10587623—21no—
306#10587623D411yescharacteristic
307#10587622—21no—
308#10587621—21no—
309#10587621—21no—
310#10587621—21no—
311D4×Dic17C2311yescharacteristic
312D4×Dic17C2311yescharacteristic, complemented
313C2×#63229C2311yescharacteristic
314C2×#63229C2311yescharacteristic
315C2×#63228C2311yescharacteristic
316C2×#63228C2311yescharacteristic
317C2×#63228C2311yescharacteristic, complemented
318#10587616—21no—
319#10587616C2311yescharacteristic
320#10587616C2311yescharacteristic
321#10587615—21no—
322#10587615—21no—
323#10587615—21no—
324#10587615—21no—
325C4×C22⋊D17—21no—
326C4×C22⋊D17—21no—
327C4×C22⋊D17—21no—
328C4×C22⋊D17—21no—
329C4×C22⋊D17C2311yescharacteristic
330C4×C22⋊D17C2311yescharacteristic
331C2×#63227—21no—
332C2×#63227—21no—
333#10587612C2311yescharacteristic
334#10587612C2311yescharacteristic, complemented
335#10587610—21no—
336#10587610C2311yescharacteristic
337#10587610C2311yescharacteristic, complemented
338C2×#63225—21no—
339C2×#63223C2311yescharacteristic
340C22×#3622C2311yescharacteristic, complemented
341#10587602—42no—
342SD16×D17—42no—
343SD16×D17—42no—
344#10587597—42no—
345C2×#63219C2311yescharacteristic
346C2×#63219C2311yescharacteristic
347C2×#63219C2311yescharacteristic, complemented
348C2×#63218C2311yescharacteristic, complemented
349C2×C8×D17C2311yescharacteristic
350C2×C8×D17C2311yescharacteristic
351C2×C8×D17C2311yescharacteristic, complemented
352#10587584—21no—
353#10587583C2311yescharacteristic
354#10587582—21no—
355#10587582—21no—
356#10587582—21no—
357#10587582D411yescharacteristic
358#10587581—21no—
359#10587581—21no—
360#10587581C2311yescharacteristic
361#10587581C2311yescharacteristic
362#10587580—21no—
363#10587580—21no—
364#10587580D411yescharacteristic
365#10587579—21no—
366#10587579C2311yescharacteristic
367#10587578—21no—
368#10587578C2311yescharacteristic
369C4⋊C4×D17—21no—
370C4⋊C4×D17C2311yescharacteristic
371C4⋊C4×D17C2311yescharacteristic, complemented
372#10587576C2311yescharacteristic, complemented
373#10587575—21no—
374#10587575—21no—
375#10587573—21no—
376#10587572—21no—
377#10587571—21no—
378#10587571—21no—
379#10587571—21no—
380#10587570—21no—
381#10587570—21no—
382#10587570—21no—
383#10587570—21no—
384#10587570—21no—
385#10587570—21no—
386#10587570D411yescharacteristic
387#10587569—21no—
388#10587569—21no—
389#10587569D411yescharacteristic
390#10587568—21no—
391#10587568—21no—
392#10587568—21no—
393#10587568—21no—
394#10587568—21no—
395#10587568—21no—
396#10587568—21no—
397#10587568—21no—
398#10587568—21no—
399#10587568—21no—
400#10587568—21no—
401#10587568D411yescharacteristic
402#10587567—21no—
403#10587567—21no—
404#10587567—21no—
405#10587567—21no—
406C22⋊C4×D17—21no—
407C22⋊C4×D17—21no—
408C22⋊C4×D17—21no—
409C22⋊C4×D17—21no—
410#10587565—21no—
411#10587565—21no—
412#10587565—21no—
413#10587565—21no—
414#10587565—21no—
415#10587564—21no—
416#10587564—21no—
417#10587564—21no—
418#10587564—21no—
419#10587564D411yescharacteristic
420#10587562—21no—
421#10587560C2311yescharacteristic
422C4×D68—21no—
423C4×D68C2311yescharacteristic
424C4×D68C2311yescharacteristic
425#10587558C2311yescharacteristic
426#10587556—21no—
427#10587556—21no—
428#10587555C2311yescharacteristic, complemented
429C4×Dic34C2311yescharacteristic, complemented
430C17×#106C2311yescharacteristic, complemented
431C17×C4⋊C8C2311yescharacteristic, complemented
432C17×#103C2311yescharacteristic, complemented
433C17×#103C2311yescharacteristic, complemented
434C17×#103C2311yescharacteristic, complemented
435C17×#102C2311yescharacteristic
436C17×#102C2311yescharacteristic
437C17×#102C2311yescharacteristic, complemented
438C17×C22⋊C8C2311yescharacteristic
439C17×C22⋊C8C2311yescharacteristic, complemented
440C4×C8×C17C2311yescharacteristic, complemented
441#10587506C2311yescharacteristic, complemented
442#10587506C2311yescharacteristic, complemented
443#10587506C2311yescharacteristic, complemented
444#10587506C2311yescharacteristic, complemented
445#10587506C2311yescharacteristic, complemented
446#10587503C2311yescharacteristic
447#10587503C2311yescharacteristic
448#10587503C2311yescharacteristic
449#10587503C2311yescharacteristic
450#10587503C2311yescharacteristic
451#10587503C2311yescharacteristic
452#10587503C2311yescharacteristic, complemented
453C22⋊#3622C2311yescharacteristic
454C22⋊#3622C2311yescharacteristic, complemented
455#10587492C2311yescharacteristic
456#10587492C2311yescharacteristic
457#10587492C2311yescharacteristic
458#10587492C2311yescharacteristic
459#10587492C2311yescharacteristic
460#10587492C2311yescharacteristic
461#10587492C2311yescharacteristic, complemented
462#10587492C2311yescharacteristic, complemented
463#10587492C2311yescharacteristic, complemented
464#10587491C2311yescharacteristic
465#10587491C2311yescharacteristic
466#10587491C2311yescharacteristic
467#10587491C2311yescharacteristic
468#10587491C2311yescharacteristic
469#10587491C2311yescharacteristic
470#10587491C2311yescharacteristic, complemented
471#10587491C2311yescharacteristic, complemented
472#10587489C2311yescharacteristic, complemented
473#10587489C2311yescharacteristic, complemented
474#10587488C2311yescharacteristic, complemented
475#10587487C2311yescharacteristic, complemented
476#10587486C2311yescharacteristic, complemented
477#10587485C2311yescharacteristic, complemented
478#10587485C2311yescharacteristic, complemented
479C8×Dic17C2311yescharacteristic, complemented
480#10587481C2311yescharacteristic, complemented
481#10587480C2311yescharacteristic
482#10587480C2311yescharacteristic
483#10587480C2311yescharacteristic, complemented
484#10587479C2311yescharacteristic, complemented
485#10587479C2311yescharacteristic, complemented
486#10587478C2311yescharacteristic, complemented
487#10587478C2311yescharacteristic, complemented
488C4⋊#3622C2311yescharacteristic, complemented
489#10587474C2311yescharacteristic, complemented
490C24×C17—21no—
491C23×D17—21no—
492C23×D17—21no—
493C23×D17—21no—
494C23×D17—21no—
495C23×D17—21no—
496C23×D17—21no—
497C23×D17—21no—
498C23×D17—44no—
499C23×D17—82no—
500C23×D17—82no—
501C23×D17C2×D411yescharacteristic
502#41×C17—22no—
503#41×C17—41no—
504#41×C17—41no—
505#41×C17—41no—
506C2×Q8×C17—21no—
507C2×Q8×C17—41no—
508C2×Q8×C17—41no—
509C2×Q8×C17C2411yescharacteristic
510C2×Q8×C17C2411yescharacteristic
511C2×Q8×C17C2411yescharacteristic
512C2×D4×C17—22no—
513C2×D4×C17—21no—
514C2×D4×C17—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—21no—
518C2×D4×C17—41no—
519C2×D4×C17C2×D411yescharacteristic
520C2×D4×C17C2411yescharacteristic
521C2×D4×C17C2411yescharacteristic
522C2×D4×C17C2411yescharacteristic
523C22×C4×C17—21no—
524C22×C4×C17—21no—
525C22×C4×C17—21no—
526C22×C4×C17—21no—
527C22×C4×C17C2411yescharacteristic
528C22×C4×C17C2411yescharacteristic
529C2×C22⋊D17—21no—
530C2×C22⋊D17—21no—
531C2×C22⋊D17—21no—
532C2×C22⋊D17—21no—
533C2×C22⋊D17—21no—
534C2×C22⋊D17—21no—
535C2×C22⋊D17—21no—
536C2×C22⋊D17—21no—
537C2×C22⋊D17—21no—
538C2×C22⋊D17—21no—
539C2×C22⋊D17—21no—
540C2×C22⋊D17—21no—
541C2×C22⋊D17—21no—
542C2×C22⋊D17—44no—
543C2×C22⋊D17—82no—
544C2×C22⋊D17C2×D411yescharacteristic
545C2×C22⋊D17C2×D411yescharacteristic
546C2×C22⋊D17C2×D411yescharacteristic
547C2×C22⋊D17C2×D411yescharacteristic
548C22×Dic17—21no—
549C22×Dic17—21no—
550C22×Dic17—21no—
551C22×Dic17C2×D411yescharacteristic
552#63256—22no—
553#63256—41no—
554#63256—41no—
555#63256—41no—
556Q8×D17—41no—
557Q8×D17—41no—
558#63254—41no—
559#63254—41no—
560D4×D17—22no—
561D4×D17—22no—
562D4×D17—22no—
563D4×D17—22no—
564D4×D17—22no—
565D4×D17—41no—
566D4×D17—41no—
567D4×D17—41no—
568D4×D17—41no—
569D4×D17—41no—
570D4×D17—44no—
571D4×D17—44no—
572D4×D17—44no—
573D4×D17—44no—
574D4×D17—82no—
575D4×D17—82no—
576#63252—41no—
577#63252—41no—
578#63252—44no—
579C2×D68—22no—
580C2×D68—22no—
581C2×D68—21no—
582C2×D68—21no—
583C2×D68—21no—
584C2×D68—21no—
585C2×D68—21no—
586C2×D68—21no—
587C2×D68—21no—
588C2×D68—21no—
589C2×D68—41no—
590C2×D68—41no—
591C2×D68—44no—
592C2×D68—82no—
593C2×D68C2×D411yescharacteristic
594C2×D68C2×D411yescharacteristic
595C2×D68C2411yescharacteristic
596C2×D68C2411yescharacteristic
597C2×D68C2411yescharacteristic
598C2×C4×D17—21no—
599C2×C4×D17—21no—
600C2×C4×D17—21no—
601C2×C4×D17—21no—
602C2×C4×D17—21no—
603C2×C4×D17—21no—
604C2×C4×D17—21no—
605C2×C4×D17—41no—
606C2×C4×D17—41no—
607C2×C4×D17C2×D411yescharacteristic
608C2×C4×D17C2×D411yescharacteristic
609C2×C4×D17C2411yescharacteristic
610C2×C4×D17C2411yescharacteristic
611C2×C4×D17C2411yescharacteristic
612C2×Dic34—21no—
613C2×Dic34—21no—
614C2×Dic34C2×D411yescharacteristic
615C2×Dic34C2411yescharacteristic
616Q16×C17—41no—
617Q16×C17—41no—
618SD16×C17—22no—
619SD16×C17—22no—
620SD16×C17—41no—
621SD16×C17—41no—
622SD16×C17—41no—
623D8×C17—22no—
624D8×C17—41no—
625M16×C17—41no—
626M16×C17—41no—
627C2×C8×C17C2411yescharacteristic
628C2×C8×C17C2411yescharacteristic
629C2×C8×C17C2411yescharacteristic
630C2×C8×C17C2411yescharacteristic
631C4⋊C4×C17—21no—
632C4⋊C4×C17—21no—
633C4⋊C4×C17—21no—
634C4⋊C4×C17C2×D411yescharacteristic
635C4⋊C4×C17C2411yescharacteristic
636C4⋊C4×C17C2411yescharacteristic
637C22⋊C4×C17—21no—
638C22⋊C4×C17—21no—
639C22⋊C4×C17—21no—
640C22⋊C4×C17—21no—
641C22⋊C4×C17—21no—
642C22⋊C4×C17—21no—
643C22⋊C4×C17—21no—
644C22⋊C4×C17—21no—
645C22⋊C4×C17—21no—
646C22⋊C4×C17C2×D411yescharacteristic
647C22⋊C4×C17C2×D411yescharacteristic
648C42×C17—21no—
649C42×C17C2411yescharacteristic
650C22⋊Dic17—21no—
651C22⋊Dic17—21no—
652C22⋊Dic17—21no—
653C22⋊Dic17—21no—
654C22⋊Dic17—21no—
655C22⋊Dic17—21no—
656C22⋊Dic17—21no—
657C22⋊Dic17—21no—
658C22⋊Dic17—21no—
659C22⋊Dic17C2×D411yescharacteristic
660C22⋊Dic17C2×D411yescharacteristic
661#63231—41no—
662#63230—22no—
663#63230—22no—
664#63230—41no—
665#63230—41no—
666#63230—41no—
667#63230—41no—
668#63229—22no—
669#63229—41no—
670#63228—22no—
671#63228—41no—
672#63228—41no—
673#63227—21no—
674#63227—21no—
675#63227—21no—
676#63227—21no—
677#63227—21no—
678#63227—21no—
679#63227—21no—
680#63227—21no—
681#63227—21no—
682#63227—21no—
683#63227—21no—
684#63227—21no—
685#63227—21no—
686#63227—21no—
687#63227—21no—
688#63227—21no—
689#63227C2×D411yescharacteristic
690#63227C2×D411yescharacteristic
691#63227C2×D411yescharacteristic
692#63227C2×D411yescharacteristic
693#63227C2×D411yescharacteristic
694#63227C2×D411yescharacteristic
695C4⋊Dic17—21no—
696C4⋊Dic17—21no—
697C4⋊Dic17—21no—
698C4⋊Dic17—21no—
699C4⋊Dic17C2×D411yescharacteristic
700C4⋊Dic17C2411yescharacteristic
701C4⋊Dic17C2411yescharacteristic
702C4⋊Dic17C2411yescharacteristic
703C4⋊Dic17C2411yescharacteristic
704#63225—21no—
705#63225—21no—
706#63225—21no—
707#63225—21no—
708#63225—21no—
709#63225—21no—
710#63225—21no—
711#63225—21no—
712#63225—21no—
713#63225—21no—
714#63225—21no—
715#63225—21no—
716#63225—21no—
717#63225—21no—
718#63225C2×D411yescharacteristic
719#63225C2×D411yescharacteristic
720#63225C2×D411yescharacteristic
721#63225C2×D411yescharacteristic
722C4×Dic17—21no—
723C4×Dic17—21no—
724C4×Dic17—21no—
725C4×Dic17—21no—
726C4×Dic17—21no—
727C4×Dic17C2411yescharacteristic
728#63223—41no—
729C2×#3622—41no—
730C2×#3622C2411yescharacteristic
731C2×#3622C2411yescharacteristic
732C2×#3622C2411yescharacteristic
733C2×#3622C2411yescharacteristic
734#63219—22no—
735#63219—41no—
736#63219—41no—
737#63218—41no—
738C8×D17—41no—
739C8×D17—41no—
740C8×D17—41no—
741#61610—171nomaximal, Sylow
742C23×C17—21no—
743C23×C17—21no—
744C23×C17—21no—
745C23×C17—42no—
746C23×C17—42no—
747C23×C17—81no—
748C23×C17C22×D411yescharacteristic
749C23×C17C22×D411yescharacteristic
750C22×D17—21no—
751C22×D17—24no—
752C22×D17—22no—
753C22×D17—21no—
754C22×D17—21no—
755C22×D17—41no—
756C22×D17—41no—
757C22×D17—42no—
758C22×D17—42no—
759C22×D17—42no—
760C22×D17—42no—
761C22×D17—42no—
762C22×D17—42no—
763C22×D17—42no—
764C22×D17—42no—
765C22×D17—42no—
766C22×D17—81no—
767C22×D17—81no—
768C22×D17—81no—
769C22×D17—81no—
770C22×D17—81no—
771C22×D17—81no—
772C22×D17—81no—
773C22×D17—81no—
774C22×D17—81no—
775C22×D17—81no—
776C22×D17—81no—
777C22×D17—816no—
778C22×D17C22×D411yescharacteristic
779C22×D17C22×D411yescharacteristic
780C22×D17C22×D411yescharacteristic
781Q8×C17—21no—
782Q8×C17—21no—
783Q8×C17—21no—
784Q8×C17—21no—
785Q8×C17—21no—
786Q8×C17—21no—
787Q8×C17—81no—
788D4×C17—21no—
789D4×C17—21no—
790D4×C17—21no—
791D4×C17—21no—
792D4×C17—21no—
793D4×C17—41no—
794D4×C17—42no—
795D4×C17—42no—
796D4×C17—81no—
797D4×C17—81no—
798D4×C17—81no—
799D4×C17H(5,𝔽2)12yes—
800C2×C4×C17—21no—
801C2×C4×C17—21no—
802C2×C4×C17—21no—
803C2×C4×C17—21no—
804C2×C4×C17—21no—
805C2×C4×C17—21no—
806C2×C4×C17—21no—
807C2×C4×C17—21no—
808C2×C4×C17—21no—
809C2×C4×C17—42no—
810C2×C4×C17—81no—
811C2×C4×C17—81no—
812C2×C4×C17—81no—
813C2×C4×C17C22×D411yescharacteristic
814C2×C4×C17C22×D411yescharacteristic
815C2×C4×C17C22×D411yescharacteristic
816C2×C4×C17C22×D411yescharacteristic
817C2×C4×C17C2511yescharacteristic
818C22⋊D17—24no—
819C22⋊D17—22no—
820C22⋊D17—41no—
821C22⋊D17—41no—
822C22⋊D17—41no—
823C22⋊D17—42no—
824C22⋊D17—42no—
825C22⋊D17—42no—
826C22⋊D17—42no—
827C22⋊D17—42no—
828C22⋊D17—42no—
829C22⋊D17—81no—
830C22⋊D17—81no—
831C22⋊D17—81no—
832C22⋊D17—81no—
833C22⋊D17—81no—
834C22⋊D17—81no—
835C2×Dic17—21no—
836C2×Dic17—21no—
837C2×Dic17—21no—
838C2×Dic17—21no—
839C2×Dic17—21no—
840C2×Dic17—41no—
841C2×Dic17—81no—
842C2×Dic17—81no—
843C2×Dic17—81no—
844C2×Dic17C22×D411yescharacteristic
845C2×Dic17C22×D411yescharacteristic
846C2×Dic17C22×D411yescharacteristic
847C2×Dic17C22×D411yescharacteristic
848C2×Dic17C22×D411yescharacteristic
849D68—22no—
850D68—21no—
851D68—21no—
852D68—21no—
853D68—21no—
854D68—21no—
855D68—41no—
856D68—42no—
857D68—42no—
858D68—42no—
859D68—42no—
860D68—42no—
861D68—81no—
862D68—81no—
863D68—81no—
864D68H(5,𝔽2)12yes—
865C4×D17—21no—
866C4×D17—21no—
867C4×D17—21no—
868C4×D17—21no—
869C4×D17—21no—
870C4×D17—21no—
871C4×D17—41no—
872C4×D17—41no—
873C4×D17—42no—
874C4×D17—42no—
875C4×D17—81no—
876C4×D17—81no—
877C4×D17—81no—
878C4×D17—81no—
879C4×D17—81no—
880Dic34—21no—
881Dic34—21no—
882Dic34—41no—
883Dic34—81no—
884Dic34—81no—
885C8×C17—21no—
886C8×C17—21no—
887C8×C17—21no—
888C8×C17—21no—
889#3622—21no—
890#3622—21no—
891#3622—21no—
892#3622—21no—
893#3541—171no—
894#3484—171no—
895#3324—171no—
896#3323—171no—
897#3318—171no—
898#3314—171no—
899#3311—171no—
900#3310—171no—
901#3297—171no—
902#3295—171no—
903#3282—171no—
904D4×SD16—171no—
905#3275D1711yescharacteristic, complemented
906#3272—171no—
907#3267—171no—
908#3266—171no—
909#3265—171no—
910#3265—171no—
911#3224—171no—
912#3222—171no—
913#3200—171no—
914#3198—171no—
915#3196—171no—
916#3191—171no—
917#3123—171no—
918#3118—171no—
919#3012—171no—
920#3009—171no—
921#3003—171no—
922C2×#450—171no—
923#2976—171no—
924C22×C17—21no—
925C22×C17—21no—
926C22×C17—21no—
927C22×C17—22no—
928C22×C17—21no—
929C22×C17—21no—
930C22×C17—21no—
931C22×C17—41no—
932C22×C17—41no—
933C22×C17—41no—
934C22×C17—41no—
935C22×C17—41no—
936C22×C17—41no—
937C22×C17—41no—
938C22×C17—41no—
939C22×C17—84no—
940C22×C17C23×D411yescharacteristic
941C2×D17—21no—
942C2×D17—21no—
943C2×D17—21no—
944C2×D17—21no—
945C2×D17—21no—
946C2×D17—21no—
947C2×D17—22no—
948C2×D17—21no—
949C2×D17—21no—
950C2×D17—44no—
951C2×D17—41no—
952C2×D17—41no—
953C2×D17—41no—
954C2×D17—41no—
955C2×D17—41no—
956C2×D17—41no—
957C2×D17—41no—
958C2×D17—41no—
959C2×D17—84no—
960C2×D17—84no—
961C2×D17—84no—
962C2×D17—84no—
963C2×D17—84no—
964C2×D17—162no—
965C2×D17—162no—
966C2×D17#57712yes—
967C4×C17—21no—
968C4×C17—21no—
969C4×C17—21no—
970C4×C17—21no—
971C4×C17—41no—
972C4×C17—41no—
973C4×C17—41no—
974C4×C17—41no—
975C4×C17—41no—
976C4×C17C2×H(5,𝔽2)11yescharacteristic
977C4×C17C2×H(5,𝔽2)11yescharacteristic
978Dic17—21no—
979Dic17—21no—
980Dic17—21no—
981Dic17—21no—
982Dic17—21no—
983Dic17—41no—
984Dic17—41no—
985Dic17—41no—
986Dic17—41no—
987Dic17—41no—
988C2×H(5,𝔽2)—171no—
989C23×D4—171no—
990C2×#137C2×D1711yescharacteristic, complemented
991C2×AGL(1,ℤ/8)—171no—
992C2×AGL(1,ℤ/8)—171no—
993C2×AGL(1,ℤ/8)C2×D1711yescharacteristic, complemented
994C2×#135—171no—
995C22×SD16—171no—
996C22×SD16—171no—
997C22×SD16—171no—
998#563—341no—
999#562—341no—
1000#556—171no—
1001#554—171no—
1002#554—341no—
1003#553—171no—
1004#553—341no—
1005#552—171no—
1006D4×Q8—171no—
1007#548—171no—
1008#548C2×D1711yescharacteristic, complemented
1009#547—171no—
1010#546—171no—
1011#546—171no—
1012#546—171no—
1013#546—341no—
1014#546—341no—
1015#546C2×D1711yescharacteristic
1016D42—171no—
1017D42—171no—
1018D42—171no—
1019D42—171no—
1020D42—341no—
1021D42—341no—
1022#542—171no—
1023#542—341no—
1024#541—171no—
1025#539—341no—
1026#538—341no—
1027#538—341no—
1028#537—171no—
1029#536—171no—
1030#535—171no—
1031#535—171no—
1032#534—341no—
1033#534—341no—
1034#525—171no—
1035#525—171no—
1036#525—171no—
1037C2×C22⋊Q8—171no—
1038C2×#120—341no—
1039C2×#120—341no—
1040#518—171no—
1041#497—171no—
1042#496—171no—
1043#495C2×D1711yescharacteristic, complemented
1044#492—171no—
1045#490—171no—
1046#489—171no—
1047#488—171no—
1048#486—171no—
1049#485—171no—
1050#485—171no—
1051#485—171no—
1052#485—171no—
1053#484—171no—
1054#482—171no—
1055#482—171no—
1056#482—171no—
1057#482—171no—
1058#481—171no—
1059#481—171no—
1060#480—171no—
1061#478—171no—
1062#478—171no—
1063#476—171no—
1064#474—171no—
1065#470—171no—
1066#470C2×D1711yescharacteristic, complemented
1067#469C2×D1711yescharacteristic, complemented
1068#468—171no—
1069#468—171no—
1070#468—171no—
1071#468—171no—
1072#468—171no—
1073#467—171no—
1074#466—171no—
1075#466—171no—
1076#465—171no—
1077#465—171no—
1078#465—171no—
1079#465—171no—
1080#465—171no—
1081#464—171no—
1082#464—171no—
1083#464C2×D1711yescharacteristic, complemented
1084#463—171no—
1085#463—171no—
1086#463C2×D1711yescharacteristic, complemented
1087#461—171no—
1088#461—171no—
1089#460—171no—
1090#460—171no—
1091#460—171no—
1092#459—171no—
1093#452—171no—
1094#452—171no—
1095#452—171no—
1096#452—171no—
1097#452—171no—
1098#452—171no—
1099#452C2×D1711yescharacteristic, complemented
1100#451—171no—
1101#450—171no—
1102#450—171no—
1103#450—171no—
1104#450—171no—
1105#450—171no—
1106#450—171no—
1107#450—171no—
1108#450—171no—
1109#450—171no—
1110#450—171no—
1111#450—171no—
1112#450—171no—
1113#450—171no—
1114#450—171no—
1115#450C2×D1711yescharacteristic, complemented
1116#449—171no—
1117#449—171no—
1118#449—171no—
1119#449—171no—
1120#449C2×D1711yescharacteristic, complemented
1121#448—171no—
1122#448—171no—
1123#448C2×D1711yescharacteristic, complemented
1124#447—171no—
1125#447—171no—
1126#447—171no—
1127#447—171no—
1128#447—171no—
1129#442—171no—
1130#440—171no—
1131#440—171no—
1132#440—171no—
1133C4×SD16—171no—
1134C4×SD16—171no—
1135C4×SD16C2×D1711yescharacteristic, complemented
1136C4×D8—171no—
1137#436—171no—
1138#436C2×D1711yescharacteristic, complemented
1139#435—171no—
1140#435—171no—
1141#435—171no—
1142#435—171no—
1143C8×D4—171no—
1144C8×D4—171no—
1145#433—171no—
1146#433—171no—
1147#418—171no—
1148#418—171no—
1149#418—171no—
1150#417—171no—
1151#416—171no—
1152C2×#102—171no—
1153C2×#102—171no—
1154C2×#102—171no—
1155#408—171no—
1156#408—171no—
1157#407—171no—
1158C2×C22⋊C8—171no—
1159C2×C17—41no—
1160C2×C17—42no—
1161C2×C17—41no—
1162C2×C17—81no—
1163C2×C17—81no—
1164C2×C17#348411yescharacteristic
1165C2×C17C2×#57711yescharacteristic
1166C2×C17#358511yescharacteristic
1167D17—22no—
1168D17—41no—
1169D17—41no—
1170D17—42no—
1171D17—81no—
1172D17—81no—
1173C25—341no—
1174H(5,𝔽2)—682no—
1175H(5,𝔽2)—682no—
1176C2×#41—171no—
1177C2×#41—171no—
1178C2×#41—171no—
1179C2×#41—171no—
1180C2×#41—341no—
1181C2×#41C22×D1711yescharacteristic
1182C2×#41C22×D1711yescharacteristic
1183C22×Q8—171no—
1184C22×Q8C22×D1711yescharacteristic, complemented
1185C22×D4—171no—
1186C22×D4—171no—
1187C22×D4—171no—
1188C22×D4—171no—
1189C22×D4—171no—
1190C22×D4—171no—
1191C22×D4—171no—
1192C22×D4—341no—
1193C22×D4—341no—
1194C22×D4—341no—
1195C22×D4—341no—
1196C22×D4—341no—
1197C22×D4—341no—
1198C22×D4—341no—
1199C22×D4—341no—
1200C22×D4—341no—
1201C22×D4—341no—
1202C22×D4—682no—
1203C22×D4—682no—
1204C22×D4C22×D1711yescharacteristic
1205C23×C4—171no—
1206#137—42no—
1207AGL(1,ℤ/8)—42no—
1208AGL(1,ℤ/8)—682no—
1209AGL(1,ℤ/8)—682no—
1210#135—682no—
1211C2×Q16—171no—
1212C2×Q16C22×D1711yescharacteristic, complemented
1213C2×Q16C22×D1711yescharacteristic, complemented
1214C2×SD16—171no—
1215C2×SD16—171no—
1216C2×SD16—171no—
1217C2×SD16—171no—
1218C2×SD16—171no—
1219C2×SD16—171no—
1220C2×SD16—171no—
1221C2×SD16—171no—
1222C2×SD16—171no—
1223C2×SD16—171no—
1224C2×SD16—171no—
1225C2×SD16—682no—
1226C2×SD16—682no—
1227C2×SD16—682no—
1228C2×SD16C22×D1711yescharacteristic
1229C2×SD16C22×D1711yescharacteristic
1230C2×SD16C22×D1711yescharacteristic
1231C2×SD16C22×D1711yescharacteristic
1232C2×SD16C22×D1711yescharacteristic, complemented
1233C2×D8—171no—
1234C2×D8—171no—
1235C2×D8—171no—
1236C2×D8C22×D1711yescharacteristic
1237C2×D8C22×D1711yescharacteristic
1238C2×M16—171no—
1239C2×M16—171no—
1240C2×M16C22×D1711yescharacteristic
1241C2×M16C22×D1711yescharacteristic, complemented
1242C22×C8—171no—
1243C22×C8—171no—
1244C22×C8—171no—
1245C22×C8—171no—
1246C4⋊Q8—171no—
1247C4⋊Q8—171no—
1248C4⋊Q8—341no—
1249C4⋊Q8—341no—
1250#127—171no—
1251#127—171no—
1252#127—341no—
1253#126—341no—
1254#126—341no—
1255#126—341no—
1256#126—341no—
1257#126—341no—
1258#126—341no—
1259#126—341no—
1260#125—171no—
1261#125—341no—
1262#125—341no—
1263#125—341no—
1264#125—341no—
1265#124—21no—
1266#124—171no—
1267#124—341no—
1268#124—341no—
1269#124—341no—
1270#124—341no—
1271#124—341no—
1272#124C22×D1711yescharacteristic
1273#124C22×D1711yescharacteristic, complemented
1274#123—21no—
1275#123—171no—
1276#123—171no—
1277#123—341no—
1278#123—341no—
1279#123—341no—
1280#123—341no—
1281#123—341no—
1282#123—341no—
1283#123—341no—
1284#123—341no—
1285#123—341no—
1286#123—341no—
1287#123—341no—
1288#123—341no—
1289C22⋊Q8—21no—
1290C22⋊Q8—171no—
1291C22⋊Q8—171no—
1292C22⋊Q8—171no—
1293C22⋊Q8—171no—
1294C22⋊Q8—171no—
1295C22⋊Q8—171no—
1296C22⋊Q8—171no—
1297C22⋊Q8—171no—
1298C22⋊Q8—171no—
1299C22⋊Q8—171no—
1300C22⋊Q8—171no—
1301C22⋊Q8—341no—
1302C22⋊Q8—341no—
1303C22⋊Q8—341no—
1304C22⋊Q8—341no—
1305C22⋊Q8—341no—
1306C22⋊Q8—341no—
1307C22⋊Q8—341no—
1308C22⋊Q8—341no—
1309C22⋊Q8—341no—
1310C22⋊Q8C22×D1711yescharacteristic
1311C22⋊Q8C22×D1711yescharacteristic
1312#121—21no—
1313#121—21no—
1314#121—171no—
1315#121—171no—
1316#121—171no—
1317#121—171no—
1318#121—171no—
1319#121—171no—
1320#121—171no—
1321#121—171no—
1322#121—171no—
1323#121—341no—
1324#121—341no—
1325#121—341no—
1326#121—341no—
1327#121—341no—
1328#121—341no—
1329#121—341no—
1330#121—341no—
1331#121—341no—
1332#121—341no—
1333#121—341no—
1334#121—341no—
1335#121—341no—
1336#121—341no—
1337#121—341no—
1338#121C22×D1711yescharacteristic
1339#121C22×D1711yescharacteristic, complemented
1340#120—21no—
1341#120—171no—
1342#120—171no—
1343#120—341no—
1344#120—341no—
1345#120—341no—
1346#120—341no—
1347#120—341no—
1348#120—341no—
1349#120—341no—
1350#120—341no—
1351#120—341no—
1352#120—341no—
1353#120—341no—
1354#120—341no—
1355#120—341no—
1356#120—341no—
1357#120—341no—
1358#120—341no—
1359#120—341no—
1360C4×Q8—171no—
1361C4×Q8—171no—
1362C4×Q8—341no—
1363C4×Q8C22×D1711yescharacteristic, complemented
1364C4×D4—21no—
1365C4×D4—171no—
1366C4×D4—171no—
1367C4×D4—171no—
1368C4×D4—171no—
1369C4×D4—171no—
1370C4×D4—171no—
1371C4×D4—171no—
1372C4×D4—341no—
1373C4×D4—341no—
1374C4×D4—341no—
1375C4×D4—341no—
1376C4×D4—341no—
1377C4×D4—341no—
1378C4×D4—341no—
1379C4×D4—341no—
1380C4×D4—341no—
1381C4×D4—341no—
1382C4×D4C22×D1711yescharacteristic
1383C4×D4C22×D1711yescharacteristic
1384#117—171no—
1385#117—171no—
1386#117—171no—
1387#117—171no—
1388#117—341no—
1389C2×C4⋊C4—171no—
1390C2×C4⋊C4—171no—
1391C2×C4⋊C4—341no—
1392C2×C4⋊C4—341no—
1393C2×C22⋊C4—21no—
1394C2×C22⋊C4—341no—
1395C2×C22⋊C4—341no—
1396C2×C22⋊C4—341no—
1397C2×C22⋊C4—341no—
1398C2×C22⋊C4—341no—
1399C2×C22⋊C4—341no—
1400#107—171no—
1401#107—171no—
1402#107—171no—
1403#107—171no—
1404#106—171no—
1405#106—171no—
1406#106—171no—
1407#106C22×D1711yescharacteristic, complemented
1408C4⋊C8—171no—
1409C4⋊C8—171no—
1410C4⋊C8—171no—
1411C4⋊C8C22×D1711yescharacteristic, complemented
1412#103—171no—
1413#103—171no—
1414#103—171no—
1415#103—171no—
1416#103—171no—
1417#103—171no—
1418#103—171no—
1419#103C22×D1711yescharacteristic, complemented
1420#103C22×D1711yescharacteristic, complemented
1421#103C22×D1711yescharacteristic, complemented
1422#102—171no—
1423#102—171no—
1424#102—171no—
1425#102—171no—
1426#102—171no—
1427#102—171no—
1428#102—171no—
1429#102—171no—
1430#102—171no—
1431#102—171no—
1432#102—171no—
1433#102—171no—
1434#102—171no—
1435#102—171no—
1436#102—171no—
1437#102—171no—
1438#102—171no—
1439#102—171no—
1440#102—171no—
1441#102C22×D1711yescharacteristic
1442#102C22×D1711yescharacteristic
1443#102C22×D1711yescharacteristic, complemented
1444C22⋊C8—171no—
1445C22⋊C8—171no—
1446C22⋊C8—171no—
1447C22⋊C8—171no—
1448C22⋊C8—171no—
1449C22⋊C8—171no—
1450C22⋊C8—171no—
1451C22⋊C8—171no—
1452C22⋊C8—171no—
1453C22⋊C8—171no—
1454C22⋊C8C22×D1711yescharacteristic
1455C22⋊C8C22×D1711yescharacteristic, complemented
1456#97—171no—
1457#97—171no—
1458C4×C8—171no—
1459C4×C8C22×D1711yescharacteristic, complemented
1460C17#6161011yescharacteristic, complemented, Sylow
1461C24—21no—
1462C24—171no—
1463C24—341no—
1464C24—341no—
1465C24—341no—
1466C24—341no—
1467C24—341no—
1468C24—341no—
1469C24—341no—
1470C24—684no—
1471C24—1362no—
1472C24—1362no—
1473#41—22no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—342no—
1478#41—681no—
1479#41—681no—
1480#41—684no—
1481#41—681no—
1482#41—681no—
1483#41—681no—
1484#41—681no—
1485#41—681no—
1486C2×Q8—21no—
1487C2×Q8—41no—
1488C2×Q8—41no—
1489C2×Q8—171no—
1490C2×Q8—171no—
1491C2×Q8—341no—
1492C2×Q8—341no—
1493C2×Q8—681no—
1494C2×Q8—681no—
1495C2×Q8C23×D1711yescharacteristic
1496C2×Q8C23×D1711yescharacteristic
1497C2×Q8C23×D1711yescharacteristic
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—171no—
1506C2×D4—171no—
1507C2×D4—171no—
1508C2×D4—171no—
1509C2×D4—171no—
1510C2×D4—171no—
1511C2×D4—171no—
1512C2×D4—171no—
1513C2×D4—171no—
1514C2×D4—342no—
1515C2×D4—342no—
1516C2×D4—341no—
1517C2×D4—341no—
1518C2×D4—341no—
1519C2×D4—341no—
1520C2×D4—341no—
1521C2×D4—341no—
1522C2×D4—341no—
1523C2×D4—341no—
1524C2×D4—341no—
1525C2×D4—341no—
1526C2×D4—341no—
1527C2×D4—342no—
1528C2×D4—342no—
1529C2×D4—342no—
1530C2×D4—342no—
1531C2×D4—342no—
1532C2×D4—341no—
1533C2×D4—341no—
1534C2×D4—341no—
1535C2×D4—341no—
1536C2×D4—341no—
1537C2×D4—341no—
1538C2×D4—341no—
1539C2×D4—341no—
1540C2×D4—341no—
1541C2×D4—341no—
1542C2×D4—681no—
1543C2×D4—681no—
1544C2×D4—684no—
1545C2×D4—681no—
1546C2×D4—681no—
1547C2×D4—681no—
1548C2×D4—681no—
1549C2×D4—681no—
1550C2×D4—684no—
1551C2×D4—684no—
1552C2×D4—684no—
1553C2×D4—684no—
1554C2×D4—684no—
1555C2×D4—1362no—
1556C2×D4—1362no—
1557C2×D4—1362no—
1558C2×D4—1362no—
1559C2×D4D4×D1711yescharacteristic
1560C2×D4C23×D1711yescharacteristic
1561C2×D4C23×D1711yescharacteristic
1562C2×D4C23×D1711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—171no—
1568C22×C4—171no—
1569C22×C4—171no—
1570C22×C4—171no—
1571C22×C4—171no—
1572C22×C4—171no—
1573C22×C4—341no—
1574C22×C4—341no—
1575C22×C4—341no—
1576C22×C4—341no—
1577C22×C4—341no—
1578C22×C4—341no—
1579C22×C4—341no—
1580C22×C4—341no—
1581C22×C4—341no—
1582C22×C4—341no—
1583C22×C4—681no—
1584C22×C4—681no—
1585C22×C4C23×D1711yescharacteristic
1586C22×C4C23×D1711yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—681no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—342no—
1596SD16—342no—
1597SD16—342no—
1598SD16—342no—
1599SD16—681no—
1600SD16—681no—
1601SD16—681no—
1602SD16—681no—
1603SD16—681no—
1604SD16—681no—
1605SD16—681no—
1606D8—22no—
1607D8—41no—
1608D8—342no—
1609D8—681no—
1610D8—681no—
1611M16—41no—
1612M16—41no—
1613M16—681no—
1614M16—681no—
1615C2×C8—171no—
1616C2×C8—171no—
1617C2×C8—171no—
1618C2×C8—171no—
1619C2×C8—681no—
1620C2×C8—681no—
1621C2×C8—681no—
1622C2×C8—681no—
1623C2×C8C23×D1711yescharacteristic
1624C2×C8C23×D1711yescharacteristic
1625C2×C8C23×D1711yescharacteristic
1626C2×C8C23×D1711yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—171no—
1631C4⋊C4—171no—
1632C4⋊C4—171no—
1633C4⋊C4—171no—
1634C4⋊C4—171no—
1635C4⋊C4—171no—
1636C4⋊C4—171no—
1637C4⋊C4—171no—
1638C4⋊C4—171no—
1639C4⋊C4—341no—
1640C4⋊C4—341no—
1641C4⋊C4—341no—
1642C4⋊C4—341no—
1643C4⋊C4—341no—
1644C4⋊C4—341no—
1645C4⋊C4—341no—
1646C4⋊C4—341no—
1647C4⋊C4—341no—
1648C4⋊C4—341no—
1649C4⋊C4—341no—
1650C4⋊C4—341no—
1651C4⋊C4—341no—
1652C4⋊C4—341no—
1653C4⋊C4—341no—
1654C4⋊C4—341no—
1655C4⋊C4—341no—
1656C4⋊C4—341no—
1657C4⋊C4D4×D1711yescharacteristic
1658C4⋊C4C23×D1711yescharacteristic
1659C4⋊C4C23×D1711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—171no—
1670C22⋊C4—171no—
1671C22⋊C4—171no—
1672C22⋊C4—171no—
1673C22⋊C4—171no—
1674C22⋊C4—171no—
1675C22⋊C4—171no—
1676C22⋊C4—171no—
1677C22⋊C4—341no—
1678C22⋊C4—341no—
1679C22⋊C4—341no—
1680C22⋊C4—341no—
1681C22⋊C4—341no—
1682C22⋊C4—341no—
1683C22⋊C4—341no—
1684C22⋊C4—341no—
1685C22⋊C4—341no—
1686C22⋊C4—341no—
1687C22⋊C4—341no—
1688C22⋊C4—341no—
1689C22⋊C4—341no—
1690C22⋊C4—341no—
1691C22⋊C4—341no—
1692C22⋊C4—341no—
1693C22⋊C4—341no—
1694C22⋊C4—341no—
1695C22⋊C4—341no—
1696C22⋊C4—341no—
1697C22⋊C4—341no—
1698C22⋊C4—341no—
1699C22⋊C4—341no—
1700C22⋊C4—341no—
1701C22⋊C4—341no—
1702C22⋊C4D4×D1711yescharacteristic
1703C22⋊C4D4×D1711yescharacteristic
1704C42—21no—
1705C42—171no—
1706C42—341no—
1707C42—341no—
1708C42—341no—
1709C42—341no—
1710C42—341no—
1711C42C23×D1711yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—81no—
1718C23—171no—
1719C23—171no—
1720C23—171no—
1721C23—342no—
1722C23—344no—
1723C23—341no—
1724C23—341no—
1725C23—341no—
1726C23—682no—
1727C23—682no—
1728C23—681no—
1729C23—681no—
1730C23—682no—
1731C23—682no—
1732C23—682no—
1733C23—682no—
1734C23—682no—
1735C23—682no—
1736C23—682no—
1737C23—1361no—
1738C23—1361no—
1739C23—1361no—
1740C23—1361no—
1741C23—1361no—
1742C23—1361no—
1743C23—1361no—
1744C23—1361no—
1745C23—1361no—
1746C23—1361no—
1747C23—1361no—
1748C23—13616no—
1749C23C2×D4×D1711yescharacteristic
1750C23C2×D4×D1711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—81no—
1758Q8—341no—
1759Q8—341no—
1760Q8—681no—
1761Q8—1361no—
1762Q8—1361no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—41no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—172no—
1775D4—342no—
1776D4—342no—
1777D4—344no—
1778D4—341no—
1779D4—341no—
1780D4—341no—
1781D4—341no—
1782D4—341no—
1783D4—681no—
1784D4—682no—
1785D4—682no—
1786D4—682no—
1787D4—682no—
1788D4—682no—
1789D4—681no—
1790D4—681no—
1791D4—681no—
1792D4—682no—
1793D4—682no—
1794D4—682no—
1795D4—682no—
1796D4—682no—
1797D4—682no—
1798D4—1361no—
1799D4—1361no—
1800D4—1361no—
1801D4—1361no—
1802D4—1361no—
1803D4—1361no—
1804D4—1361no—
1805D4—1361no—
1806D4—1361no—
1807D4#1058769112yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—171no—
1822C2×C4—171no—
1823C2×C4—171no—
1824C2×C4—171no—
1825C2×C4—171no—
1826C2×C4—341no—
1827C2×C4—341no—
1828C2×C4—341no—
1829C2×C4—341no—
1830C2×C4—341no—
1831C2×C4—341no—
1832C2×C4—341no—
1833C2×C4—341no—
1834C2×C4—341no—
1835C2×C4—341no—
1836C2×C4—341no—
1837C2×C4—681no—
1838C2×C4—681no—
1839C2×C4—682no—
1840C2×C4—682no—
1841C2×C4—681no—
1842C2×C4—1361no—
1843C2×C4—1361no—
1844C2×C4—1361no—
1845C2×C4—1361no—
1846C2×C4—1361no—
1847C2×C4—1361no—
1848C2×C4—1361no—
1849C2×C4—1361no—
1850C2×C4C2×D4×D1711yescharacteristic
1851C2×C4C2×D4×D1711yescharacteristic
1852C2×C4C2×D4×D1711yescharacteristic
1853C2×C4C2×D4×D1711yescharacteristic
1854C2×C4C24×D1711yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—341no—
1860C8—341no—
1861C8—341no—
1862C8—341no—
1863C22—21no—
1864C22—21no—
1865C22—22no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—84no—
1879C22—2722no—
1880C22—2722no—
1881C22—172no—
1882C22—341no—
1883C22—341no—
1884C22—341no—
1885C22—341no—
1886C22—342no—
1887C22—341no—
1888C22—341no—
1889C22—341no—
1890C22—341no—
1891C22—684no—
1892C22—681no—
1893C22—681no—
1894C22—681no—
1895C22—681no—
1896C22—681no—
1897C22—681no—
1898C22—681no—
1899C22—681no—
1900C22—1364no—
1901C22—1364no—
1902C22—1364no—
1903C22—1364no—
1904C22—1364no—
1905C22C22×D4×D1711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—341no—
1916C4—341no—
1917C4—341no—
1918C4—341no—
1919C4—341no—
1920C4—681no—
1921C4—681no—
1922C4—681no—
1923C4—681no—
1924C4—681no—
1925C4H(5,𝔽2)×D1711yescharacteristic
1926C4C2×#1058769111yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—342no—
1933C2—681no—
1934C2—682no—
1935C2—681no—
1936C2—1361no—
1937C2—1361no—
1938C2#1454241211yescharacteristic
1939C2D17×#57711yescharacteristic
1940C2#1454356111yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3275C2
socleC22×C17C23×D4
hypercenter#3275D17
hypocenterC17#61610
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #14543075C2semidirect
2. #14542414C2semidirect
3. #14541016C2semidirect
4. #14541006C2semidirect
5. #14540920C2semidirect
6. #14540872C2semidirect
7. #14540820C2semidirect
8. #14540798C2semidirect
9. #14540627C2semidirect
10. #14540610C2semidirect
11. #14540490C2semidirect
12. #14540473C2semidirect
13. #14540378C2semidirect
14. #14540312C2semidirect
15. #14540288C2semidirect
16. #14540285C2semidirect
17. #14540280C2semidirect
18. #14539871C2semidirect
19. #14539853C2semidirect
20. #14539654C2semidirect
21. #14539631C2semidirect
22. #14539615C2semidirect
23. #14539576C2semidirect
24. #14539033C2semidirect
25. #14538965C2semidirect
26. #14538086C2semidirect
27. #14538060C2semidirect
28. #14538009C2semidirect
29. D17×#450C2semidirect
30. #14537828C2semidirect
31. C17×#3275C2semidirect
34. C2×#10587635C22semidirect
35. C2×#10587597C22semidirect
36. C2×#10587602C22semidirect
37. C22×#63230C22semidirect
38. C2×SD16×D17C22semidirect
39. C2×SD16×D17C22semidirect
42. #11763529C22semidirect
43. #11763519C22semidirect
46. #11763506C22semidirect
47. #11763493C22semidirect
48. Q8×C22⋊D17C22semidirect
49. #11763467C22semidirect
50. #11763458C22semidirect
63. #11763428C22semidirect
64. #11763417C22semidirect
68. #11763388C22semidirect
69. #11763383C22semidirect
76. #11763316C22semidirect
77. C22⋊Q8×D17C22semidirect
81. #11763202C22semidirect
82. #11763199C22semidirect
83. #11763180C22semidirect
84. #11763172C22semidirect
85. #11763168C22semidirect
86. #11763165C22semidirect
87. #11763156C22semidirect
88. #11763153C22semidirect
89. #11763149C22semidirect
90. #11763148C22semidirect
91. #11763147C22semidirect
92. #11763143C22semidirect
93. #11763134C22semidirect
94. #11763134C22semidirect
95. #11763131C22semidirect
96. #11763130C22semidirect
97. #11763129C22semidirect
98. #11763129C22semidirect
99. #11763121C22semidirect
100. #11763111C22semidirect
101. #11763108C22semidirect
102. #11763099C22semidirect
103. #11763090C22semidirect
104. #11763065C22semidirect
105. #11763058C22semidirect
106. #11763057C22semidirect
107. #11763055C22semidirect
108. #11763055C22semidirect
109. #11763052C22semidirect
110. #11763047C22semidirect
111. #11763044C22semidirect
112. #11763043C22semidirect
113. #11763041C22semidirect
114. #11763041C22semidirect
115. #11763036C22semidirect
116. #11763035C22semidirect
117. #11763035C22semidirect
118. #11763033C22semidirect
119. #11763028C22semidirect
120. #11763026C22semidirect
121. #11763021C22semidirect
122. #11763013C22semidirect
123. #11763012C22semidirect
124. #11763010C22semidirect
125. #11763009C22semidirect
126. #11763007C22semidirect
127. #11763002C22semidirect
128. #11762974C22semidirect
129. #11762971C22semidirect
130. #11762970C22semidirect
131. #11762970C22semidirect
132. #11762970C22semidirect
133. #11762970C22semidirect
134. #11762963C22semidirect
135. #11762962C22semidirect
136. #11762962C22semidirect
138. #11762961C22semidirect
139. #11762960C22semidirect
140. #11762959C22semidirect
143. #11762958C22semidirect
144. #11762958C22semidirect
145. #11762958C22semidirect
146. #11762958C22semidirect
147. #11762958C22semidirect
148. #11762958C22semidirect
149. #11762955C22semidirect
150. #11762954C22semidirect
151. #11762953C22semidirect
152. #11762951C22semidirect
153. #11762949C22semidirect
154. #11762948C22semidirect
155. #11762942C22semidirect
157. #11762941C22semidirect
158. #11762941C22semidirect
159. #11762941C22semidirect
160. #11762918C22semidirect
161. #11762910C22semidirect
162. #11762909C22semidirect
163. #11762907C22semidirect
164. C4×#63219C22semidirect
165. #11762894C22semidirect
166. D8×Dic17C22semidirect
167. #11762885C22semidirect
168. #11762883C22semidirect
169. #11762881C22semidirect
170. #11762879C22semidirect
171. #11762878C22semidirect
172. C8×D68C22semidirect
173. #11762872C22semidirect
174. #11762869C22semidirect
175. #11762868C22semidirect
176. #11762815C22semidirect
177. #11762815C22semidirect
178. #11762814C22semidirect
179. #11762809C22semidirect
180. #11762805C22semidirect
181. #102×D17C22semidirect
182. #102×D17C22semidirect
183. #102×D17C22semidirect
184. #11762777C22semidirect
185. #11762774C22semidirect
186. #11762772C22semidirect
187. C22⋊C8×D17C22semidirect
188. C2×C17×#137C22semidirect
189. C2×C17×AGL(1,ℤ/8)C22semidirect
190. C17×#548C22semidirect
192. C17×#495C22semidirect
193. C17×#470C22semidirect
194. C17×#469C22semidirect
195. C17×#464C22semidirect
196. C17×#463C22semidirect
197. C17×#452C22semidirect
198. C17×#450C22semidirect
199. C17×#449C22semidirect
200. C17×#448C22semidirect
201. C4×SD16×C17C22semidirect
202. C17×#436C22semidirect
206. C22×Q8×C17C23semidirect
215. C2×#63254C23semidirect
238. C2×Q16×C17C23semidirect
239. C2×Q16×C17C23semidirect
244. C2×SD16×C17C23semidirect
248. C2×M16×C17C23semidirect
251. C17×#124C23semidirect
259. C17×#121C23semidirect
261. C4×Q8×C17C23semidirect
275. #10587632C23semidirect
276. #10587632C23semidirect
277. Q8×Dic17C23semidirect
280. #10587630C23semidirect
281. C2×#63231C23semidirect
287. C2×#63230C23semidirect
288. C2×#63230C23semidirect
312. D4×Dic17C23semidirect
317. C2×#63228C23semidirect
334. #10587612C23semidirect
337. #10587610C23semidirect
340. C22×#3622C23semidirect
347. C2×#63219C23semidirect
348. C2×#63218C23semidirect
351. C2×C8×D17C23semidirect
371. C4⋊C4×D17C23semidirect
372. #10587576C23semidirect
428. #10587555C23semidirect
429. C4×Dic34C23semidirect
430. C17×#106C23semidirect
431. C17×C4⋊C8C23semidirect
432. C17×#103C23semidirect
433. C17×#103C23semidirect
434. C17×#103C23semidirect
437. C17×#102C23semidirect
439. C17×C22⋊C8C23semidirect
440. C4×C8×C17C23semidirect
441. #10587506C23semidirect
442. #10587506C23semidirect
443. #10587506C23semidirect
444. #10587506C23semidirect
445. #10587506C23semidirect
452. #10587503C23semidirect
454. C22⋊#3622C23semidirect
461. #10587492C23semidirect
462. #10587492C23semidirect
463. #10587492C23semidirect
470. #10587491C23semidirect
471. #10587491C23semidirect
472. #10587489C23semidirect
473. #10587489C23semidirect
474. #10587488C23semidirect
475. #10587487C23semidirect
476. #10587486C23semidirect
477. #10587485C23semidirect
478. #10587485C23semidirect
479. C8×Dic17C23semidirect
480. #10587481C23semidirect
483. #10587480C23semidirect
484. #10587479C23semidirect
485. #10587479C23semidirect
486. #10587478C23semidirect
487. #10587478C23semidirect
488. C4⋊#3622C23semidirect
489. #10587474C23semidirect
905. #3275D17semidirect
990. C2×#137C2×D17semidirect
993. C2×AGL(1,ℤ/8)C2×D17semidirect
1008. #548C2×D17semidirect
1043. #495C2×D17semidirect
1066. #470C2×D17semidirect
1067. #469C2×D17semidirect
1083. #464C2×D17semidirect
1086. #463C2×D17semidirect
1099. #452C2×D17semidirect
1115. #450C2×D17semidirect
1120. #449C2×D17semidirect
1123. #448C2×D17semidirect
1135. C4×SD16C2×D17semidirect
1138. #436C2×D17semidirect
1184. C22×Q8C22×D17semidirect
1212. C2×Q16C22×D17semidirect
1213. C2×Q16C22×D17semidirect
1232. C2×SD16C22×D17semidirect
1241. C2×M16C22×D17semidirect
1273. #124C22×D17semidirect
1339. #121C22×D17semidirect
1363. C4×Q8C22×D17semidirect
1407. #106C22×D17semidirect
1411. C4⋊C8C22×D17semidirect
1419. #103C22×D17semidirect
1420. #103C22×D17semidirect
1421. #103C22×D17semidirect
1443. #102C22×D17semidirect
1455. C22⋊C8C22×D17semidirect
1459. C4×C8C22×D17semidirect
1460. C17#61610semidirect

Maximal subgroups

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

subgroupindex
#145430752
#145424142
#145410162
#145410062
#145409202
#145408722
#145408202
#145407982
#145406272
#145406102
#145404902
#145404732
#145403782
#145403122
#145402882
#145402852
#145402802
#145398712
#145398532
#145396542
#145396312
#145396152
#145395762
#145390332
#145389652
#145380862
#145380602
#145380092
D17×#4502
#145378282
C17×#32752
#6161017