Finite Group Databasebeta

← #17919889

Subgroups — #17919889

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#14543082C211yesmaximal, characteristic, complemented
2#14542412C211yesmaximal, characteristic, complemented
3#14541008C211yesmaximal, characteristic, complemented
4#14541005C211yesmaximal, characteristic, complemented
5#14540925C211yesmaximal, characteristic, complemented
6#14540869C211yesmaximal, characteristic, complemented
7#14540826C211yesmaximal, characteristic, complemented
8#14540812C211yesmaximal, characteristic, complemented
9#14540636C211yesmaximal, characteristic, complemented
10#14540603C211yesmaximal, characteristic, complemented
11#14540491C211yesmaximal, characteristic, complemented
12#14540418C211yesmaximal, characteristic, complemented
13#14540383C211yesmaximal, characteristic, complemented
14#14540315C211yesmaximal, characteristic, complemented
15#14540295C211yesmaximal, characteristic, complemented
16#14540279C211yesmaximal, characteristic, complemented
17#14540272C211yesmaximal, characteristic, complemented
18#14539883C211yesmaximal, characteristic, complemented
19#14539849C211yesmaximal, characteristic, complemented
20#14539654C211yesmaximal, characteristic, complemented
21#14539639C211yesmaximal, characteristic, complemented
22#14539611C211yesmaximal, characteristic, complemented
23#14539573C211yesmaximal, characteristic, complemented
24#14539034C211yesmaximal, characteristic, complemented
25#14538974C211yesmaximal, characteristic, complemented
26#14538089C211yesmaximal, characteristic, complemented
27#14538057C211yesmaximal, characteristic, complemented
28#14538012C211yesmaximal, characteristic, complemented
29C2×#11762958C211yesmaximal, characteristic, complemented
30#14537826C211yesmaximal, characteristic, complemented
31D4×SD16×C17C211yesmaximal, characteristic, complemented
32C2×#10587691C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C2×#10587628C2211yescharacteristic, complemented
35C2×#10587600C2211yescharacteristic, complemented
36C2×#10587600C2211yescharacteristic, complemented
37C2×#10587600C2211yescharacteristic, complemented
38C2×#10587602C2211yescharacteristic, complemented
39C22×#63230C2211yescharacteristic, complemented
40#11763558—21no—
41#11763555—21no—
42#11763530C2211yescharacteristic, complemented
43#11763517C2211yescharacteristic, complemented
44#11763513—21no—
45#11763508—21no—
46#11763505C2211yescharacteristic, complemented
47#11763500C2211yescharacteristic, complemented
48#11763470C2211yescharacteristic, complemented
49#11763470C2211yescharacteristic, complemented
50#11763462C2211yescharacteristic, complemented
51#11763456C2211yescharacteristic
52#11763455C2211yescharacteristic
53#11763454C2211yescharacteristic
54#11763453C2211yescharacteristic
55#11763448—21no—
56#11763446—21no—
57#11763444C2211yescharacteristic
58#11763443C2211yescharacteristic
59D4×C22⋊D17—21no—
60D4×C22⋊D17C2211yescharacteristic
61#11763441—21no—
62#11763433—21no—
63#11763431C2211yescharacteristic, complemented
64#11763420C2211yescharacteristic, complemented
65#11763405—21no—
66#11763399—21no—
67#11763392—21no—
68#11763389C2211yescharacteristic, complemented
69#11763383C2211yescharacteristic, complemented
70#11763375C2211yescharacteristic
71#11763372C2211yescharacteristic
72#11763369—21no—
73#11763367—21no—
74#11763322C2211yescharacteristic, complemented
75#11763319C2211yescharacteristic
76#11763318C2211yescharacteristic
77C2×#10587632C2211yescharacteristic, complemented
78C2×#10587623—21no—
79#120×D17—21no—
80#11763281C2211yescharacteristic
81#11763201C2211yescharacteristic, complemented
82#11763195C2211yescharacteristic, complemented
83#11763190C2211yescharacteristic, complemented
84#11763173C2211yescharacteristic, complemented
85#11763167C2211yescharacteristic, complemented
86#11763164C2211yescharacteristic, complemented
87#11763154C2211yescharacteristic, complemented
88#11763153C2211yescharacteristic, complemented
89#11763149C2211yescharacteristic, complemented
90#11763149C2211yescharacteristic, complemented
91#11763148C2211yescharacteristic, complemented
92#11763145C2211yescharacteristic, complemented
93#11763135C2211yescharacteristic, complemented
94#11763134C2211yescharacteristic, complemented
95#11763132C2211yescharacteristic, complemented
96#11763130C2211yescharacteristic, complemented
97#11763129C2211yescharacteristic, complemented
98#11763125C2211yescharacteristic, complemented
99#11763121C2211yescharacteristic, complemented
100#11763110C2211yescharacteristic, complemented
101#11763109C2211yescharacteristic, complemented
102#11763098C2211yescharacteristic, complemented
103#11763087C2211yescharacteristic, complemented
104#11763066C2211yescharacteristic, complemented
105#11763066C2211yescharacteristic, complemented
106#11763060C2211yescharacteristic, complemented
107#11763058C2211yescharacteristic, complemented
108#11763057C2211yescharacteristic, complemented
109#11763052C2211yescharacteristic, complemented
110#11763052C2211yescharacteristic, complemented
111#11763052C2211yescharacteristic, complemented
112#11763048C2211yescharacteristic, complemented
113#11763045C2211yescharacteristic, complemented
114#11763043C2211yescharacteristic, complemented
115#11763041C2211yescharacteristic, complemented
116#11763038C2211yescharacteristic, complemented
117#11763035C2211yescharacteristic, complemented
118#11763031C2211yescharacteristic, complemented
119#11763029C2211yescharacteristic, complemented
120#11763029C2211yescharacteristic, complemented
121#11763027C2211yescharacteristic, complemented
122#11763026C2211yescharacteristic, complemented
123#11763025C2211yescharacteristic, complemented
124#11763011C2211yescharacteristic, complemented
125#11763007C2211yescharacteristic, complemented
126#11763007C2211yescharacteristic, complemented
127#11763001C2211yescharacteristic, complemented
128#11762974C2211yescharacteristic, complemented
129#11762969C2211yescharacteristic, complemented
130#11762968C2211yescharacteristic, complemented
131#11762968C2211yescharacteristic, complemented
132#11762968C2211yescharacteristic, complemented
133#11762968C2211yescharacteristic, complemented
134#11762968C2211yescharacteristic, complemented
135#11762965C2211yescharacteristic, complemented
136#11762959C2211yescharacteristic, complemented
137#11762958C2211yescharacteristic
138#11762958C2211yescharacteristic
139#11762958C2211yescharacteristic
140#11762958C2211yescharacteristic, complemented
141#11762958C2211yescharacteristic, complemented
142#11762958C2211yescharacteristic, complemented
143#11762958C2211yescharacteristic, complemented
144#11762958C2211yescharacteristic, complemented
145#11762958C2211yescharacteristic, complemented
146#11762958C2211yescharacteristic, complemented
147#11762958C2211yescharacteristic, complemented
148#11762958C2211yescharacteristic, complemented
149#11762957C2211yescharacteristic, complemented
150#11762956C2211yescharacteristic, complemented
151#11762955C2211yescharacteristic, complemented
152#11762953C2211yescharacteristic, complemented
153#11762953C2211yescharacteristic, complemented
154#11762948C2211yescharacteristic, complemented
155#11762945C2211yescharacteristic, complemented
156#11762944C2211yescharacteristic
157#11762944C2211yescharacteristic, complemented
158#11762943C2211yescharacteristic, complemented
159#11762943C2211yescharacteristic, complemented
160#11762919C2211yescharacteristic, complemented
161#11762912C2211yescharacteristic, complemented
162#11762910C2211yescharacteristic, complemented
163#11762907C2211yescharacteristic, complemented
164SD16×Dic17C2211yescharacteristic, complemented
165#11762894C2211yescharacteristic, complemented
166C4×D136C2211yescharacteristic, complemented
167#11762888C2211yescharacteristic, complemented
168#11762884C2211yescharacteristic, complemented
169#11762881C2211yescharacteristic, complemented
170#11762880C2211yescharacteristic, complemented
171#11762879C2211yescharacteristic, complemented
172#11762877C2211yescharacteristic, complemented
173C8×C22⋊D17C2211yescharacteristic, complemented
174#11762869C2211yescharacteristic, complemented
175#11762868C2211yescharacteristic, complemented
176#11762814C2211yescharacteristic, complemented
177#11762812C2211yescharacteristic, complemented
178#11762812C2211yescharacteristic, complemented
179#11762807C2211yescharacteristic, complemented
180#11762806C2211yescharacteristic, complemented
181C2×#10587492C2211yescharacteristic, complemented
182C2×#10587503C2211yescharacteristic, complemented
183#102×D17C2211yescharacteristic, complemented
184#11762775C2211yescharacteristic, complemented
185#11762774C2211yescharacteristic, complemented
186#11762771C2211yescharacteristic, complemented
187C2×#10587491C2211yescharacteristic, complemented
188C22×SD16×C17C2211yescharacteristic, complemented
189C22×SD16×C17C2211yescharacteristic, complemented
190D4×Q8×C17C2211yescharacteristic, complemented
191D42×C17C2211yescharacteristic
192C17×#492C2211yescharacteristic, complemented
193C17×#465C2211yescharacteristic, complemented
194C17×#465C2211yescharacteristic, complemented
195C17×#461C2211yescharacteristic, complemented
196C17×#460C2211yescharacteristic, complemented
197C17×#450C2211yescharacteristic, complemented
198C17×#450C2211yescharacteristic, complemented
199C17×#448C2211yescharacteristic, complemented
200C17×#448C2211yescharacteristic, complemented
201C4×SD16×C17C2211yescharacteristic, complemented
202C8×D4×C17C2211yescharacteristic, complemented
203C24×D17—21no—
204C22×Q8×C17C2311yescharacteristic
205C22×Q8×C17C2311yescharacteristic, complemented
206C22×D4×C17—21no—
207C22×D4×C17C2311yescharacteristic
208C22×D4×C17C2311yescharacteristic
209C22×C22⋊D17—21no—
210C22×C22⋊D17—21no—
211C22×C22⋊D17—21no—
212C22×C22⋊D17—21no—
213C2×#63256C2311yescharacteristic
214C2×#63256C2311yescharacteristic, complemented
215#10587691—42no—
216#10587691—42no—
217C2×#63254—21no—
218C2×#63254C2311yescharacteristic
219C2×#63254C2311yescharacteristic
220C2×D4×D17—21no—
221C2×D4×D17—21no—
222C2×D4×D17—21no—
223C2×D4×D17—21no—
224C2×D4×D17—21no—
225C2×D4×D17—42no—
226C2×D4×D17—42no—
227C2×D4×D17C2311yescharacteristic
228C2×D4×D17C2311yescharacteristic
229C2×D4×D17C2311yescharacteristic
230C2×D4×D17C2311yescharacteristic
231C2×D4×D17C2311yescharacteristic
232C2×#63252C2311yescharacteristic
233C2×#63252C2311yescharacteristic
234C22×D68C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C2×SD16×C17—42no—
237C2×SD16×C17—42no—
238C2×SD16×C17C2311yescharacteristic
239C2×SD16×C17C2311yescharacteristic
240C2×SD16×C17C2311yescharacteristic
241C2×SD16×C17C2311yescharacteristic
242C2×SD16×C17C2311yescharacteristic
243C2×SD16×C17C2311yescharacteristic
244C2×SD16×C17C2311yescharacteristic, complemented
245C2×SD16×C17C2311yescharacteristic, complemented
246C2×SD16×C17C2311yescharacteristic, complemented
247C22×C8×C17C2311yescharacteristic
248C22×C8×C17C2311yescharacteristic, complemented
249C17×C4⋊Q8—21no—
250C17×C4⋊Q8C2311yescharacteristic, complemented
251C17×#127C2311yescharacteristic
252C17×C22⋊Q8—21no—
253C17×C22⋊Q8—21no—
254C17×C22⋊Q8C2311yescharacteristic
255C17×C22⋊Q8C2311yescharacteristic, complemented
256C17×#121—21no—
257C17×#121C2311yescharacteristic
258C17×#121C2311yescharacteristic
259C17×#120—21no—
260C17×#120—21no—
261C4×Q8×C17C2311yescharacteristic, complemented
262C4×D4×C17—21no—
263C4×D4×C17C2311yescharacteristic
264C4×D4×C17C2311yescharacteristic
265#10587639—21no—
266#10587639—21no—
267C2×C22⋊Dic17—21no—
268#10587633—21no—
269#10587633—21no—
270#10587633—21no—
271#10587633C2311yescharacteristic, complemented
272#10587632—21no—
273#10587632—21no—
274#10587632—21no—
275#10587632—21no—
276#10587632C2311yescharacteristic
277#10587632C2311yescharacteristic
278#10587632C2311yescharacteristic
279#10587632C2311yescharacteristic
280#10587632C2311yescharacteristic
281#10587632C2311yescharacteristic, complemented
282#10587632C2311yescharacteristic, complemented
283Q8×Dic17C2311yescharacteristic, complemented
284Q8×Dic17C2311yescharacteristic, complemented
285#10587630—21no—
286C2×#63231C2311yescharacteristic, complemented
287C2×#63231C2311yescharacteristic, complemented
288C2×#63231C2311yescharacteristic, complemented
289#10587628—42no—
290C2×#63230—42no—
291C2×#63230C2311yescharacteristic
292C2×#63230C2311yescharacteristic
293C2×#63230C2311yescharacteristic
294C2×#63230C2311yescharacteristic
295C2×#63230C2311yescharacteristic
296C2×#63230C2311yescharacteristic
297#10587626—21no—
298#10587626C2311yescharacteristic
299#10587625—21no—
300#10587625—21no—
301#10587625—21no—
302#10587625—21no—
303#10587625—21no—
304#10587625D411yescharacteristic
305#10587624—21no—
306#10587624—21no—
307#10587624C2311yescharacteristic
308#10587624C2311yescharacteristic
309#10587623—21no—
310#10587623—21no—
311#10587623—21no—
312#10587623—21no—
313#10587623—21no—
314#10587623—21no—
315#10587623—21no—
316#10587623—21no—
317#10587623—21no—
318#10587623—21no—
319#10587623D411yescharacteristic
320#10587622C2311yescharacteristic
321#10587621—21no—
322D4×Dic17—21no—
323D4×Dic17C2311yescharacteristic
324C2×#63228C2311yescharacteristic
325C2×#63228C2311yescharacteristic
326C2×#63228C2311yescharacteristic, complemented
327#10587616—21no—
328#10587616—21no—
329#10587616—21no—
330#10587616C2311yescharacteristic
331#10587616C2311yescharacteristic
332#10587616C2311yescharacteristic, complemented
333#10587615—21no—
334#10587615—21no—
335C4×C22⋊D17—21no—
336C4×C22⋊D17—21no—
337C4×C22⋊D17—21no—
338C4×C22⋊D17C2311yescharacteristic
339C4×C22⋊D17C2311yescharacteristic
340C2×#63227—21no—
341C2×#63227—21no—
342C2×#63227—21no—
343#10587612C2311yescharacteristic, complemented
344C2×C4⋊Dic17C2311yescharacteristic
345#10587610C2311yescharacteristic
346C2×#63225—21no—
347C2×#63223C2311yescharacteristic, complemented
348C22×#3622C2311yescharacteristic
349#10587602—42no—
350#10587600—42no—
351#10587600—42no—
352#10587600—42no—
353C2×D136C2311yescharacteristic
354C2×D136C2311yescharacteristic
355C2×#63219C2311yescharacteristic, complemented
356C2×#63218C2311yescharacteristic
357C2×#63218C2311yescharacteristic
358C2×#63218C2311yescharacteristic, complemented
359C2×C8×D17C2311yescharacteristic, complemented
360#10587584—21no—
361#10587584—21no—
362#10587584—21no—
363#10587584—21no—
364#10587583—21no—
365#10587583C2311yescharacteristic
366#10587582—21no—
367#10587582—21no—
368#10587582D411yescharacteristic
369#10587581—21no—
370#10587581—21no—
371#10587581C2311yescharacteristic
372#10587581C2311yescharacteristic
373#10587580—21no—
374#10587580—21no—
375#10587580—21no—
376#10587580—21no—
377#10587580—21no—
378#10587580—21no—
379#10587580D411yescharacteristic
380#10587579—21no—
381#10587579C2311yescharacteristic
382#10587578C2311yescharacteristic
383#10587578C2311yescharacteristic
384C4⋊C4×D17—21no—
385C4⋊C4×D17C2311yescharacteristic, complemented
386#10587575—21no—
387#10587575—21no—
388#10587575—21no—
389#10587575—21no—
390#10587574C2311yescharacteristic, complemented
391#10587573—21no—
392#10587572—21no—
393#10587571—21no—
394#10587571—21no—
395#10587570—21no—
396#10587570—21no—
397#10587570—21no—
398#10587570—21no—
399#10587570D411yescharacteristic
400#10587569—21no—
401#10587569—21no—
402#10587569—21no—
403#10587569D411yescharacteristic
404#10587568—21no—
405#10587568—21no—
406#10587568—21no—
407#10587568—21no—
408#10587568D411yescharacteristic
409#10587567—21no—
410#10587567—21no—
411#10587567—21no—
412#10587567—21no—
413#10587567—21no—
414C22⋊C4×D17—21no—
415C22⋊C4×D17—21no—
416C22⋊C4×D17—21no—
417#10587565—21no—
418#10587564—21no—
419#10587564D411yescharacteristic
420#10587562—21no—
421#10587562—21no—
422#10587561—21no—
423#10587561C2311yescharacteristic
424C4×D68C2311yescharacteristic
425C4×D68C2311yescharacteristic
426C4×D68C2311yescharacteristic, complemented
427#10587558—21no—
428#10587558C2311yescharacteristic
429#10587556C2311yescharacteristic, 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#10587503C2311yescharacteristic
445#10587503C2311yescharacteristic
446#10587503C2311yescharacteristic
447#10587503C2311yescharacteristic
448#10587503C2311yescharacteristic
449#10587503C2311yescharacteristic
450#10587503C2311yescharacteristic, complemented
451#10587503C2311yescharacteristic, complemented
452#10587503C2311yescharacteristic, complemented
453C22⋊#3622C2311yescharacteristic
454C22⋊#3622C2311yescharacteristic, complemented
455#10587492C2311yescharacteristic
456#10587492C2311yescharacteristic
457#10587492C2311yescharacteristic
458#10587492C2311yescharacteristic
459#10587492C2311yescharacteristic
460#10587492C2311yescharacteristic
461#10587492C2311yescharacteristic, complemented
462#10587491C2311yescharacteristic
463#10587491C2311yescharacteristic
464#10587491C2311yescharacteristic
465#10587491C2311yescharacteristic
466#10587491C2311yescharacteristic
467#10587491C2311yescharacteristic
468#10587491C2311yescharacteristic, complemented
469#10587491C2311yescharacteristic, complemented
470#10587489C2311yescharacteristic, complemented
471#10587489C2311yescharacteristic, complemented
472#10587488C2311yescharacteristic, complemented
473#10587487C2311yescharacteristic, complemented
474#10587487C2311yescharacteristic, 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—
491C24×C17—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
502C2×Q8×C17—21no—
503C2×Q8×C17—21no—
504C2×Q8×C17—41no—
505C2×Q8×C17—41no—
506C2×Q8×C17—41no—
507C2×Q8×C17—41no—
508C2×Q8×C17C2411yescharacteristic
509C2×Q8×C17C2411yescharacteristic
510C2×Q8×C17C2411yescharacteristic
511C2×D4×C17—22no—
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—21no—
519C2×D4×C17—41no—
520C2×D4×C17—41no—
521C2×D4×C17—82no—
522C2×D4×C17C2×D411yescharacteristic
523C2×D4×C17C2411yescharacteristic
524C2×D4×C17C2411yescharacteristic
525C2×D4×C17C2411yescharacteristic
526C22×C4×C17—21no—
527C22×C4×C17—21no—
528C22×C4×C17—21no—
529C22×C4×C17C2411yescharacteristic
530C22×C4×C17C2411yescharacteristic
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—21no—
543C2×C22⋊D17—21no—
544C2×C22⋊D17—21no—
545C2×C22⋊D17—21no—
546C2×C22⋊D17—44no—
547C2×C22⋊D17—44no—
548C2×C22⋊D17—44no—
549C2×C22⋊D17—82no—
550C2×C22⋊D17C2×D411yescharacteristic
551C2×C22⋊D17C2×D411yescharacteristic
552C2×C22⋊D17C2×D411yescharacteristic
553C2×C22⋊D17C2×D411yescharacteristic
554C22×Dic17—21no—
555C22×Dic17—21no—
556C22×Dic17—21no—
557C22×Dic17—21no—
558C22×Dic17C2×D411yescharacteristic
559#63256—41no—
560#63256—41no—
561#63256—41no—
562#63256—41no—
563#63254—22no—
564#63254—41no—
565#63254—41no—
566#63254—41no—
567#63254—44no—
568D4×D17—22no—
569D4×D17—22no—
570D4×D17—22no—
571D4×D17—22no—
572D4×D17—22no—
573D4×D17—41no—
574D4×D17—41no—
575D4×D17—41no—
576D4×D17—41no—
577D4×D17—41no—
578D4×D17—44no—
579D4×D17—44no—
580D4×D17—44no—
581D4×D17—82no—
582D4×D17—82no—
583#63252—22no—
584#63252—41no—
585#63252—41no—
586#63252—41no—
587C2×D68—22no—
588C2×D68—21no—
589C2×D68—21no—
590C2×D68—21no—
591C2×D68—21no—
592C2×D68—21no—
593C2×D68—41no—
594C2×D68C2×D411yescharacteristic
595C2×D68C2×D411yescharacteristic
596C2×D68C2411yescharacteristic
597C2×D68C2411yescharacteristic
598C2×D68C2411yescharacteristic
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—21no—
606C2×C4×D17—41no—
607C2×C4×D17—41no—
608C2×C4×D17C2×D411yescharacteristic
609C2×C4×D17C2×D411yescharacteristic
610C2×C4×D17C2411yescharacteristic
611C2×C4×D17C2411yescharacteristic
612C2×C4×D17C2411yescharacteristic
613C2×Dic34—21no—
614C2×Dic34C2×D411yescharacteristic
615C2×Dic34C2411yescharacteristic
616SD16×C17—22no—
617SD16×C17—22no—
618SD16×C17—22no—
619SD16×C17—41no—
620SD16×C17—41no—
621SD16×C17—41no—
622SD16×C17—41no—
623SD16×C17—41no—
624SD16×C17—41no—
625C2×C8×C17—41no—
626C2×C8×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×C17—21no—
635C4⋊C4×C17—21no—
636C4⋊C4×C17C2×D411yescharacteristic
637C4⋊C4×C17C2411yescharacteristic
638C4⋊C4×C17C2411yescharacteristic
639C22⋊C4×C17—21no—
640C22⋊C4×C17—21no—
641C22⋊C4×C17—21no—
642C22⋊C4×C17—21no—
643C22⋊C4×C17—21no—
644C22⋊C4×C17C2×D411yescharacteristic
645C22⋊C4×C17C2×D411yescharacteristic
646C42×C17—21no—
647C42×C17C2411yescharacteristic
648C22⋊Dic17—21no—
649C22⋊Dic17—21no—
650C22⋊Dic17—21no—
651C22⋊Dic17—21no—
652C22⋊Dic17—21no—
653C22⋊Dic17—21no—
654C22⋊Dic17—21no—
655C22⋊Dic17C2×D411yescharacteristic
656C22⋊Dic17C2×D411yescharacteristic
657#63231—41no—
658#63231—41no—
659#63231—41no—
660#63230—22no—
661#63230—22no—
662#63230—22no—
663#63230—41no—
664#63230—41no—
665#63230—41no—
666#63228—22no—
667#63228—41no—
668#63228—41no—
669#63227—21no—
670#63227—21no—
671#63227—21no—
672#63227—21no—
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#63227—21no—
690#63227—21no—
691#63227C2×D411yescharacteristic
692#63227C2×D411yescharacteristic
693#63227C2×D411yescharacteristic
694#63227C2×D411yescharacteristic
695#63227C2×D411yescharacteristic
696#63227C2×D411yescharacteristic
697C4⋊Dic17—21no—
698C4⋊Dic17—21no—
699C4⋊Dic17—21no—
700C4⋊Dic17—21no—
701C4⋊Dic17C2×D411yescharacteristic
702C4⋊Dic17C2411yescharacteristic
703C4⋊Dic17C2411yescharacteristic
704C4⋊Dic17C2411yescharacteristic
705C4⋊Dic17C2411yescharacteristic
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
734D136—22no—
735D136—41no—
736#63219—41no—
737#63218—41no—
738#63218—41no—
739#63218—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—42no—
748C23×C17—81no—
749C23×C17—81no—
750C23×C17—81no—
751C23×C17C22×D411yescharacteristic
752C23×C17C22×D411yescharacteristic
753C22×D17—22no—
754C22×D17—21no—
755C22×D17—24no—
756C22×D17—21no—
757C22×D17—21no—
758C22×D17—41no—
759C22×D17—41no—
760C22×D17—42no—
761C22×D17—42no—
762C22×D17—42no—
763C22×D17—42no—
764C22×D17—42no—
765C22×D17—42no—
766C22×D17—42no—
767C22×D17—42no—
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—
788Q8×C17—81no—
789D4×C17—22no—
790D4×C17—21no—
791D4×C17—21no—
792D4×C17—21no—
793D4×C17—21no—
794D4×C17—21no—
795D4×C17—42no—
796D4×C17—42no—
797D4×C17—42no—
798D4×C17—81no—
799D4×C17—81no—
800D4×C17—81no—
801D4×C17H(5,𝔽2)12yes—
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—21no—
810C2×C4×C17—21no—
811C2×C4×C17—81no—
812C2×C4×C17—81no—
813C2×C4×C17—81no—
814C2×C4×C17C22×D411yescharacteristic
815C2×C4×C17C22×D411yescharacteristic
816C2×C4×C17C22×D411yescharacteristic
817C2×C4×C17C22×D411yescharacteristic
818C2×C4×C17C2511yescharacteristic
819C22⋊D17—24no—
820C22⋊D17—22no—
821C22⋊D17—41no—
822C22⋊D17—41no—
823C22⋊D17—41no—
824C22⋊D17—42no—
825C22⋊D17—42no—
826C22⋊D17—42no—
827C22⋊D17—42no—
828C22⋊D17—42no—
829C22⋊D17—42no—
830C22⋊D17—42no—
831C22⋊D17—42no—
832C22⋊D17—42no—
833C22⋊D17—81no—
834C22⋊D17—81no—
835C22⋊D17—81no—
836C22⋊D17—81no—
837C22⋊D17—81no—
838C2×Dic17—21no—
839C2×Dic17—21no—
840C2×Dic17—21no—
841C2×Dic17—21no—
842C2×Dic17—21no—
843C2×Dic17—41no—
844C2×Dic17—42no—
845C2×Dic17—42no—
846C2×Dic17—81no—
847C2×Dic17—81no—
848C2×Dic17C22×D411yescharacteristic
849C2×Dic17C22×D411yescharacteristic
850C2×Dic17C22×D411yescharacteristic
851C2×Dic17C22×D411yescharacteristic
852C2×Dic17C22×D411yescharacteristic
853D68—21no—
854D68—21no—
855D68—21no—
856D68—21no—
857D68—21no—
858D68—41no—
859D68—41no—
860D68—42no—
861D68—81no—
862D68—81no—
863D68—81no—
864D68—81no—
865D68H(5,𝔽2)12yes—
866C4×D17—21no—
867C4×D17—21no—
868C4×D17—21no—
869C4×D17—21no—
870C4×D17—21no—
871C4×D17—21no—
872C4×D17—41no—
873C4×D17—41no—
874C4×D17—42no—
875C4×D17—81no—
876C4×D17—81no—
877C4×D17—81no—
878C4×D17—81no—
879C4×D17—81no—
880C4×D17—81no—
881Dic34—21no—
882Dic34—21no—
883Dic34—41no—
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×SD16D1711yescharacteristic, complemented
905#3275—171no—
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—41no—
931C22×C17—41no—
932C22×C17—41no—
933C22×C17—41no—
934C22×C17—41no—
935C22×C17—41no—
936C22×C17—41no—
937C22×C17—41no—
938C22×C17—84no—
939C22×C17—162no—
940C22×C17#57712yes—
941C22×C17C23×D411yescharacteristic
942C2×D17—21no—
943C2×D17—21no—
944C2×D17—21no—
945C2×D17—21no—
946C2×D17—21no—
947C2×D17—21no—
948C2×D17—22no—
949C2×D17—21no—
950C2×D17—21no—
951C2×D17—21no—
952C2×D17—44no—
953C2×D17—41no—
954C2×D17—41no—
955C2×D17—41no—
956C2×D17—41no—
957C2×D17—41no—
958C2×D17—41no—
959C2×D17—41no—
960C2×D17—41no—
961C2×D17—84no—
962C2×D17—84no—
963C2×D17—84no—
964C2×D17—84no—
965C2×D17—84no—
966C2×D17—162no—
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×#137—171no—
991C2×AGL(1,ℤ/8)—171no—
992C2×AGL(1,ℤ/8)—171no—
993C2×AGL(1,ℤ/8)—171no—
994C2×#135—171no—
995C22×SD16—171no—
996C22×SD16C2×D1711yescharacteristic, complemented
997C22×SD16C2×D1711yescharacteristic, complemented
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×Q8C2×D1711yescharacteristic, complemented
1007#548—171no—
1008#548—171no—
1009#547—171no—
1010#546—171no—
1011#546—171no—
1012#546—171no—
1013#546—171no—
1014#546—341no—
1015#546—341no—
1016D42—171no—
1017D42—171no—
1018D42—171no—
1019D42—341no—
1020D42—341no—
1021D42C2×D1711yescharacteristic
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#495—171no—
1044#492C2×D1711yescharacteristic, complemented
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#470—171no—
1067#469—171no—
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#465C2×D1711yescharacteristic, complemented
1080#465C2×D1711yescharacteristic, complemented
1081#464—171no—
1082#464—171no—
1083#464—171no—
1084#463—171no—
1085#463—171no—
1086#463—171no—
1087#461—171no—
1088#461C2×D1711yescharacteristic, complemented
1089#460—171no—
1090#460—171no—
1091#460C2×D1711yescharacteristic, complemented
1092#459—171no—
1093#452—171no—
1094#452—171no—
1095#452—171no—
1096#452—171no—
1097#452—171no—
1098#452—171no—
1099#452—171no—
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#450C2×D1711yescharacteristic, complemented
1115#450C2×D1711yescharacteristic, complemented
1116#449—171no—
1117#449—171no—
1118#449—171no—
1119#449—171no—
1120#449—171no—
1121#448—171no—
1122#448C2×D1711yescharacteristic, complemented
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#436—171no—
1139#435—171no—
1140#435—171no—
1141#435—171no—
1142#435—171no—
1143C8×D4—171no—
1144C8×D4C2×D1711yescharacteristic, complemented
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—22no—
1160C2×C17—42no—
1161C2×C17—41no—
1162C2×C17—81no—
1163C2×C17—81no—
1164C2×C17#348411yescharacteristic
1165C2×C17C2×#57711yescharacteristic
1166C2×C17#358511yescharacteristic
1167D17—41no—
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—171no—
1181C2×#41—171no—
1182C2×#41—341no—
1183C22×Q8C22×D1711yescharacteristic
1184C22×Q8C22×D1711yescharacteristic, complemented
1185C22×D4—21no—
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—682no—
1202C22×D4—682no—
1203C22×D4C22×D1711yescharacteristic
1204C22×D4C22×D1711yescharacteristic
1205C23×C4—171no—
1206#137—682no—
1207AGL(1,ℤ/8)—682no—
1208AGL(1,ℤ/8)—682no—
1209AGL(1,ℤ/8)—682no—
1210#135—682no—
1211C2×Q16—171no—
1212C2×Q16—171no—
1213C2×Q16—171no—
1214C2×SD16—42no—
1215C2×SD16—42no—
1216C2×SD16—171no—
1217C2×SD16—171no—
1218C2×SD16—171no—
1219C2×SD16—171no—
1220C2×SD16—171no—
1221C2×SD16—171no—
1222C2×SD16—171no—
1223C2×SD16—682no—
1224C2×SD16C22×D1711yescharacteristic
1225C2×SD16C22×D1711yescharacteristic
1226C2×SD16C22×D1711yescharacteristic
1227C2×SD16C22×D1711yescharacteristic
1228C2×SD16C22×D1711yescharacteristic
1229C2×SD16C22×D1711yescharacteristic
1230C2×SD16C22×D1711yescharacteristic, complemented
1231C2×SD16C22×D1711yescharacteristic, complemented
1232C2×SD16C22×D1711yescharacteristic, complemented
1233C2×D8—171no—
1234C2×D8—171no—
1235C2×D8—171no—
1236C2×D8—171no—
1237C2×D8—171no—
1238C2×M16—171no—
1239C2×M16—171no—
1240C2×M16—171no—
1241C2×M16—171no—
1242C22×C8—171no—
1243C22×C8—171no—
1244C22×C8C22×D1711yescharacteristic
1245C22×C8C22×D1711yescharacteristic, complemented
1246C4⋊Q8—21no—
1247C4⋊Q8—171no—
1248C4⋊Q8—341no—
1249C4⋊Q8C22×D1711yescharacteristic, complemented
1250#127—171no—
1251#127—341no—
1252#127C22×D1711yescharacteristic
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—171no—
1266#124—171no—
1267#124—171no—
1268#124—341no—
1269#124—341no—
1270#124—341no—
1271#124—341no—
1272#124—341no—
1273#124—341no—
1274#123—171no—
1275#123—171no—
1276#123—341no—
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—21no—
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—171no—
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, complemented
1312#121—21no—
1313#121—171no—
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—341no—
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
1340#120—21no—
1341#120—21no—
1342#120—171no—
1343#120—171no—
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—341no—
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—21no—
1463C24—171no—
1464C24—341no—
1465C24—341no—
1466C24—341no—
1467C24—341no—
1468C24—341no—
1469C24—341no—
1470C24—684no—
1471C24—1362no—
1472C24—1362no—
1473#41—342no—
1474#41—342no—
1475#41—681no—
1476#41—681no—
1477#41—681no—
1478#41—681no—
1479#41—681no—
1480#41—681no—
1481#41—681no—
1482#41—681no—
1483#41—681no—
1484#41—681no—
1485#41—684no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—41no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—171no—
1493C2×Q8—171no—
1494C2×Q8—341no—
1495C2×Q8C23×D1711yescharacteristic
1496C2×Q8C23×D1711yescharacteristic
1497C2×Q8C23×D1711yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—82no—
1509C2×D4—171no—
1510C2×D4—171no—
1511C2×D4—171no—
1512C2×D4—171no—
1513C2×D4—171no—
1514C2×D4—171no—
1515C2×D4—171no—
1516C2×D4—171no—
1517C2×D4—171no—
1518C2×D4—342no—
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—341no—
1528C2×D4—341no—
1529C2×D4—341no—
1530C2×D4—342no—
1531C2×D4—342no—
1532C2×D4—342no—
1533C2×D4—342no—
1534C2×D4—342no—
1535C2×D4—341no—
1536C2×D4—341no—
1537C2×D4—341no—
1538C2×D4—341no—
1539C2×D4—341no—
1540C2×D4—341no—
1541C2×D4—341no—
1542C2×D4—341no—
1543C2×D4—341no—
1544C2×D4—681no—
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—684no—
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—171no—
1567C22×C4—171no—
1568C22×C4—171no—
1569C22×C4—171no—
1570C22×C4—171no—
1571C22×C4—171no—
1572C22×C4—341no—
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—681no—
1588Q16—681no—
1589Q16—681no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—342no—
1600SD16—342no—
1601SD16—342no—
1602SD16—681no—
1603SD16—681no—
1604SD16—681no—
1605SD16—681no—
1606D8—342no—
1607D8—342no—
1608D8—681no—
1609D8—681no—
1610D8—681no—
1611M16—681no—
1612M16—681no—
1613M16—681no—
1614M16—681no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—171no—
1618C2×C8—171no—
1619C2×C8—171no—
1620C2×C8—171no—
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—21no—
1631C4⋊C4—21no—
1632C4⋊C4—171no—
1633C4⋊C4—171no—
1634C4⋊C4—171no—
1635C4⋊C4—171no—
1636C4⋊C4—171no—
1637C4⋊C4—171no—
1638C4⋊C4—171no—
1639C4⋊C4—171no—
1640C4⋊C4—171no—
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—171no—
1666C22⋊C4—171no—
1667C22⋊C4—171no—
1668C22⋊C4—171no—
1669C22⋊C4—171no—
1670C22⋊C4—171no—
1671C22⋊C4—171no—
1672C22⋊C4—171no—
1673C22⋊C4—341no—
1674C22⋊C4—341no—
1675C22⋊C4—341no—
1676C22⋊C4—341no—
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—42no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—171no—
1722C23—171no—
1723C23—171no—
1724C23—344no—
1725C23—342no—
1726C23—341no—
1727C23—341no—
1728C23—341no—
1729C23—681no—
1730C23—681no—
1731C23—682no—
1732C23—682no—
1733C23—682no—
1734C23—682no—
1735C23—682no—
1736C23—682no—
1737C23—682no—
1738C23—682no—
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—81no—
1759Q8—341no—
1760Q8—341no—
1761Q8—681no—
1762Q8—1361no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—172no—
1776D4—344no—
1777D4—342no—
1778D4—341no—
1779D4—341no—
1780D4—341no—
1781D4—341no—
1782D4—341no—
1783D4—681no—
1784D4—681no—
1785D4—682no—
1786D4—681no—
1787D4—681no—
1788D4—681no—
1789D4—682no—
1790D4—682no—
1791D4—682no—
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—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—171no—
1821C2×C4—171no—
1822C2×C4—171no—
1823C2×C4—171no—
1824C2×C4—171no—
1825C2×C4—341no—
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—681no—
1837C2×C4—681no—
1838C2×C4—682no—
1839C2×C4—681no—
1840C2×C4—682no—
1841C2×C4—682no—
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—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—84no—
1878C22—162no—
1879C22—2722no—
1880C22—341no—
1881C22—341no—
1882C22—341no—
1883C22—342no—
1884C22—341no—
1885C22—341no—
1886C22—341no—
1887C22—341no—
1888C22—341no—
1889C22—341no—
1890C22—684no—
1891C22—681no—
1892C22—681no—
1893C22—681no—
1894C22—681no—
1895C22—681no—
1896C22—681no—
1897C22—681no—
1898C22—681no—
1899C22—1364no—
1900C22—1364no—
1901C22—1364no—
1902C22—1364no—
1903C22—1364no—
1904C22#1176361512yes—
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—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—681no—
1933C2—682no—
1934C2—681no—
1935C2—681no—
1936C2—1361no—
1937C2—1361no—
1938C2#1454241211yescharacteristic
1939C2C2×#1176361511yescharacteristic
1940C2#1454356211yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingD4×SD16×C17C2
socleC22×C17C23×D4
hypercenterD4×SD16D17
hypocenterC17#61610
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
1. #14543082C2semidirect
2. #14542412C2semidirect
3. #14541008C2semidirect
4. #14541005C2semidirect
5. #14540925C2semidirect
6. #14540869C2semidirect
7. #14540826C2semidirect
8. #14540812C2semidirect
9. #14540636C2semidirect
10. #14540603C2semidirect
11. #14540491C2semidirect
12. #14540418C2semidirect
13. #14540383C2semidirect
14. #14540315C2semidirect
15. #14540295C2semidirect
16. #14540279C2semidirect
17. #14540272C2semidirect
18. #14539883C2semidirect
19. #14539849C2semidirect
20. #14539654C2semidirect
21. #14539639C2semidirect
22. #14539611C2semidirect
23. #14539573C2semidirect
24. #14539034C2semidirect
25. #14538974C2semidirect
26. #14538089C2semidirect
27. #14538057C2semidirect
28. #14538012C2semidirect
29. C2×#11762958C2semidirect
30. #14537826C2semidirect
31. D4×SD16×C17C2semidirect
34. C2×#10587628C22semidirect
35. C2×#10587600C22semidirect
36. C2×#10587600C22semidirect
37. C2×#10587600C22semidirect
38. C2×#10587602C22semidirect
39. C22×#63230C22semidirect
42. #11763530C22semidirect
43. #11763517C22semidirect
46. #11763505C22semidirect
47. #11763500C22semidirect
48. #11763470C22semidirect
49. #11763470C22semidirect
50. #11763462C22semidirect
63. #11763431C22semidirect
64. #11763420C22semidirect
68. #11763389C22semidirect
69. #11763383C22semidirect
74. #11763322C22semidirect
77. C2×#10587632C22semidirect
81. #11763201C22semidirect
82. #11763195C22semidirect
83. #11763190C22semidirect
84. #11763173C22semidirect
85. #11763167C22semidirect
86. #11763164C22semidirect
87. #11763154C22semidirect
88. #11763153C22semidirect
89. #11763149C22semidirect
90. #11763149C22semidirect
91. #11763148C22semidirect
92. #11763145C22semidirect
93. #11763135C22semidirect
94. #11763134C22semidirect
95. #11763132C22semidirect
96. #11763130C22semidirect
97. #11763129C22semidirect
98. #11763125C22semidirect
99. #11763121C22semidirect
100. #11763110C22semidirect
101. #11763109C22semidirect
102. #11763098C22semidirect
103. #11763087C22semidirect
104. #11763066C22semidirect
105. #11763066C22semidirect
106. #11763060C22semidirect
107. #11763058C22semidirect
108. #11763057C22semidirect
109. #11763052C22semidirect
110. #11763052C22semidirect
111. #11763052C22semidirect
112. #11763048C22semidirect
113. #11763045C22semidirect
114. #11763043C22semidirect
115. #11763041C22semidirect
116. #11763038C22semidirect
117. #11763035C22semidirect
118. #11763031C22semidirect
119. #11763029C22semidirect
120. #11763029C22semidirect
121. #11763027C22semidirect
122. #11763026C22semidirect
123. #11763025C22semidirect
124. #11763011C22semidirect
125. #11763007C22semidirect
126. #11763007C22semidirect
127. #11763001C22semidirect
128. #11762974C22semidirect
129. #11762969C22semidirect
130. #11762968C22semidirect
131. #11762968C22semidirect
132. #11762968C22semidirect
133. #11762968C22semidirect
134. #11762968C22semidirect
135. #11762965C22semidirect
136. #11762959C22semidirect
140. #11762958C22semidirect
141. #11762958C22semidirect
142. #11762958C22semidirect
143. #11762958C22semidirect
144. #11762958C22semidirect
145. #11762958C22semidirect
146. #11762958C22semidirect
147. #11762958C22semidirect
148. #11762958C22semidirect
149. #11762957C22semidirect
150. #11762956C22semidirect
151. #11762955C22semidirect
152. #11762953C22semidirect
153. #11762953C22semidirect
154. #11762948C22semidirect
155. #11762945C22semidirect
157. #11762944C22semidirect
158. #11762943C22semidirect
159. #11762943C22semidirect
160. #11762919C22semidirect
161. #11762912C22semidirect
162. #11762910C22semidirect
163. #11762907C22semidirect
164. SD16×Dic17C22semidirect
165. #11762894C22semidirect
166. C4×D136C22semidirect
167. #11762888C22semidirect
168. #11762884C22semidirect
169. #11762881C22semidirect
170. #11762880C22semidirect
171. #11762879C22semidirect
172. #11762877C22semidirect
173. C8×C22⋊D17C22semidirect
174. #11762869C22semidirect
175. #11762868C22semidirect
176. #11762814C22semidirect
177. #11762812C22semidirect
178. #11762812C22semidirect
179. #11762807C22semidirect
180. #11762806C22semidirect
181. C2×#10587492C22semidirect
182. C2×#10587503C22semidirect
183. #102×D17C22semidirect
184. #11762775C22semidirect
185. #11762774C22semidirect
186. #11762771C22semidirect
187. C2×#10587491C22semidirect
188. C22×SD16×C17C22semidirect
189. C22×SD16×C17C22semidirect
190. D4×Q8×C17C22semidirect
192. C17×#492C22semidirect
193. C17×#465C22semidirect
194. C17×#465C22semidirect
195. C17×#461C22semidirect
196. C17×#460C22semidirect
197. C17×#450C22semidirect
198. C17×#450C22semidirect
199. C17×#448C22semidirect
200. C17×#448C22semidirect
201. C4×SD16×C17C22semidirect
202. C8×D4×C17C22semidirect
205. C22×Q8×C17C23semidirect
214. C2×#63256C23semidirect
244. C2×SD16×C17C23semidirect
245. C2×SD16×C17C23semidirect
246. C2×SD16×C17C23semidirect
248. C22×C8×C17C23semidirect
250. C17×C4⋊Q8C23semidirect
255. C17×C22⋊Q8C23semidirect
261. C4×Q8×C17C23semidirect
271. #10587633C23semidirect
281. #10587632C23semidirect
282. #10587632C23semidirect
283. Q8×Dic17C23semidirect
284. Q8×Dic17C23semidirect
286. C2×#63231C23semidirect
287. C2×#63231C23semidirect
288. C2×#63231C23semidirect
326. C2×#63228C23semidirect
332. #10587616C23semidirect
343. #10587612C23semidirect
347. C2×#63223C23semidirect
355. C2×#63219C23semidirect
358. C2×#63218C23semidirect
359. C2×C8×D17C23semidirect
385. C4⋊C4×D17C23semidirect
390. #10587574C23semidirect
426. C4×D68C23semidirect
429. #10587556C23semidirect
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
450. #10587503C23semidirect
451. #10587503C23semidirect
452. #10587503C23semidirect
454. C22⋊#3622C23semidirect
461. #10587492C23semidirect
468. #10587491C23semidirect
469. #10587491C23semidirect
470. #10587489C23semidirect
471. #10587489C23semidirect
472. #10587488C23semidirect
473. #10587487C23semidirect
474. #10587487C23semidirect
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
904. D4×SD16D17semidirect
996. C22×SD16C2×D17semidirect
997. C22×SD16C2×D17semidirect
1006. D4×Q8C2×D17semidirect
1044. #492C2×D17semidirect
1079. #465C2×D17semidirect
1080. #465C2×D17semidirect
1088. #461C2×D17semidirect
1091. #460C2×D17semidirect
1114. #450C2×D17semidirect
1115. #450C2×D17semidirect
1122. #448C2×D17semidirect
1123. #448C2×D17semidirect
1135. C4×SD16C2×D17semidirect
1144. C8×D4C2×D17semidirect
1184. C22×Q8C22×D17semidirect
1230. C2×SD16C22×D17semidirect
1231. C2×SD16C22×D17semidirect
1232. C2×SD16C22×D17semidirect
1245. C22×C8C22×D17semidirect
1249. C4⋊Q8C22×D17semidirect
1311. C22⋊Q8C22×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
#145430822
#145424122
#145410082
#145410052
#145409252
#145408692
#145408262
#145408122
#145406362
#145406032
#145404912
#145404182
#145403832
#145403152
#145402952
#145402792
#145402722
#145398832
#145398492
#145396542
#145396392
#145396112
#145395732
#145390342
#145389742
#145380892
#145380572
#145380122
C2×#117629582
#145378262
D4×SD16×C172
#6161017