Finite Group Databasebeta

← #17911331

Subgroups — #17911331

Order 4352.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542350C211yesmaximal, characteristic, complemented
2D17×#546C211yesmaximal, characteristic, complemented
3#14540995C211yesmaximal, characteristic, complemented
4#14540993C211yesmaximal, characteristic, complemented
5#14540988C211yesmaximal, characteristic, complemented
6#14540986C211yesmaximal, characteristic, complemented
7#14540939C211yesmaximal, characteristic, complemented
8#14540937C211yesmaximal, characteristic, complemented
9#14540859C211yesmaximal, characteristic, complemented
10#14540827C211yesmaximal, characteristic, complemented
11#14540825C211yesmaximal, characteristic, complemented
12#14540747C211yesmaximal, characteristic, complemented
13#14540745C211yesmaximal, characteristic, complemented
14#14540632C211yesmaximal, characteristic, complemented
15#14540630C211yesmaximal, characteristic, complemented
16#14540625C211yesmaximal, characteristic, complemented
17#14540623C211yesmaximal, characteristic, complemented
18#14539169C211yesmaximal, characteristic, complemented
19#14538729C211yesmaximal, characteristic, complemented
20#14538719C211yesmaximal, characteristic, complemented
21#14538576C211yesmaximal, characteristic, complemented
22#14538411C211yesmaximal, characteristic, complemented
23#14538398C211yesmaximal, characteristic, complemented
24#14538275C211yesmaximal, characteristic, complemented
25#14538027C211yesmaximal, characteristic, complemented
26#14538012C211yesmaximal, characteristic, complemented
27#14537589C211yesmaximal, characteristic, complemented
28#14537517C211yesmaximal, characteristic, complemented
29#14537300C211yesmaximal, characteristic, complemented
30C2×#11762812C211yesmaximal, characteristic, complemented
31C17×#3314C211yesmaximal, characteristic, complemented
32C2×#41×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C2×#10587604C2211yescharacteristic, complemented
35C2×#10587600C2211yescharacteristic
36C2×#10587600C2211yescharacteristic
37C22×#63218C2211yescharacteristic
38C2×M16×D17C2211yescharacteristic, complemented
39#11763532C2211yescharacteristic, complemented
40#11763525C2211yescharacteristic, complemented
41#11763507C2211yescharacteristic, complemented
42#11763507C2211yescharacteristic, complemented
43#11763501C2211yescharacteristic, complemented
44#11763501C2211yescharacteristic, complemented
45#11763497—21no—
46#11763486—21no—
47#11763486—21no—
48#11763463C2211yescharacteristic, complemented
49#11763456C2211yescharacteristic
50#11763455C2211yescharacteristic
51#11763454—21no—
52#11763454C2211yescharacteristic
53#11763453C2211yescharacteristic
54#11763452C2211yescharacteristic
55#11763451—21no—
56#11763450C2211yescharacteristic
57#11763449—21no—
58#11763448—21no—
59#11763447C2211yescharacteristic
60#11763446—21no—
61#11763364C2211yescharacteristic, complemented
62#11763345—21no—
63#11763345—21no—
64#11763344—21no—
65#124×D17C2211yescharacteristic
66#11763322C2211yescharacteristic
67#11763322C2211yescharacteristic, complemented
68#123×D17—21no—
69C22⋊Q8×D17C2211yescharacteristic
70#121×D17—21no—
71#121×D17C2211yescharacteristic
72#120×D17—21no—
73C4×#63256C2211yescharacteristic, complemented
74C4×#63254—21no—
75C4×D4×D17C2211yescharacteristic
76C4×D4×D17C2211yescharacteristic
77C2×#10587578C2211yescharacteristic
78C2×#10587578C2211yescharacteristic, complemented
79C2×C22⋊C4×D17—21no—
80#11763171C2211yescharacteristic, complemented
81#11763169C2211yescharacteristic, complemented
82#11763168C2211yescharacteristic, complemented
83#11763165C2211yescharacteristic, complemented
84#11763165C2211yescharacteristic, complemented
85#11763162C2211yescharacteristic, complemented
86#11763162C2211yescharacteristic, complemented
87#11763152C2211yescharacteristic, complemented
88#11763152C2211yescharacteristic, complemented
89#11763148C2211yescharacteristic, complemented
90#11763148C2211yescharacteristic, complemented
91#11763144C2211yescharacteristic, complemented
92#11763140C2211yescharacteristic, complemented
93#11763137C2211yescharacteristic, complemented
94#11763136C2211yescharacteristic, complemented
95#11763136C2211yescharacteristic, complemented
96#11763132C2211yescharacteristic, complemented
97#11763132C2211yescharacteristic, complemented
98#11763128C2211yescharacteristic, complemented
99#11763125C2211yescharacteristic, complemented
100#11763122C2211yescharacteristic, complemented
101#11763112C2211yescharacteristic, complemented
102#11763112C2211yescharacteristic, complemented
103#11763111C2211yescharacteristic, complemented
104#11763111C2211yescharacteristic, complemented
105#11763100C2211yescharacteristic, complemented
106#11763099C2211yescharacteristic, complemented
107#11763086C2211yescharacteristic, complemented
108#11763066C2211yescharacteristic, complemented
109#11763064C2211yescharacteristic, complemented
110#11763062C2211yescharacteristic, complemented
111#11763060C2211yescharacteristic, complemented
112#11763058C2211yescharacteristic, complemented
113#11763057C2211yescharacteristic, complemented
114#11763056C2211yescharacteristic, complemented
115#11763048C2211yescharacteristic, complemented
116#11763046C2211yescharacteristic, complemented
117#11763044C2211yescharacteristic, complemented
118#11763041C2211yescharacteristic, complemented
119#11763040C2211yescharacteristic, complemented
120#11763038C2211yescharacteristic, complemented
121#11763035C2211yescharacteristic, complemented
122#11763033C2211yescharacteristic, complemented
123#11763031C2211yescharacteristic, complemented
124#11763029C2211yescharacteristic, complemented
125#11763027C2211yescharacteristic, complemented
126#11763025C2211yescharacteristic, complemented
127#11763023C2211yescharacteristic, complemented
128#11763021C2211yescharacteristic, complemented
129#11762970C2211yescharacteristic, complemented
130#11762969C2211yescharacteristic, complemented
131#11762968C2211yescharacteristic, complemented
132#11762959C2211yescharacteristic, complemented
133#11762958C2211yescharacteristic, complemented
134#11762958C2211yescharacteristic, complemented
135#11762957C2211yescharacteristic, complemented
136#11762956C2211yescharacteristic, complemented
137#11762955C2211yescharacteristic, complemented
138#11762954C2211yescharacteristic, complemented
139#11762945C2211yescharacteristic, complemented
140#11762944C2211yescharacteristic, complemented
141#11762944C2211yescharacteristic, complemented
142#11762943C2211yescharacteristic, complemented
143#11762922C2211yescharacteristic, complemented
144#11762919C2211yescharacteristic, complemented
145#11762907C2211yescharacteristic, complemented
146SD16×Dic17C2211yescharacteristic, complemented
147#11762894C2211yescharacteristic, complemented
148#11762891C2211yescharacteristic, complemented
149#11762889C2211yescharacteristic, complemented
150#11762885C2211yescharacteristic, complemented
151#11762884C2211yescharacteristic, complemented
152#11762882C2211yescharacteristic, complemented
153#11762881C2211yescharacteristic, complemented
154#11762879C2211yescharacteristic, complemented
155C8×C22⋊D17C2211yescharacteristic, complemented
156#11762872C2211yescharacteristic, complemented
157#11762850C2211yescharacteristic, complemented
158#11762850C2211yescharacteristic, complemented
159#11762850C2211yescharacteristic, complemented
160#11762831C2211yescharacteristic, complemented
161#11762816C2211yescharacteristic, complemented
162#11762816C2211yescharacteristic, complemented
163#11762816C2211yescharacteristic, complemented
164#11762812C2211yescharacteristic
165#11762812C2211yescharacteristic
166#11762812C2211yescharacteristic
167#11762812C2211yescharacteristic
168#11762812C2211yescharacteristic
169#11762812C2211yescharacteristic
170#11762812C2211yescharacteristic, complemented
171#11762812C2211yescharacteristic, complemented
172#11762812C2211yescharacteristic, complemented
173#11762812C2211yescharacteristic, complemented
174#11762811C2211yescharacteristic, complemented
175#11762810C2211yescharacteristic, complemented
176#11762809C2211yescharacteristic, complemented
177#11762808C2211yescharacteristic, complemented
178#11762804C2211yescharacteristic, complemented
179#11762804C2211yescharacteristic, complemented
180#11762802C2211yescharacteristic, complemented
181#11762802C2211yescharacteristic, complemented
182C2×#10587492C2211yescharacteristic, complemented
183C2×#10587503C2211yescharacteristic, complemented
184C2×#10587480C2211yescharacteristic, complemented
185#11762771C2211yescharacteristic
186#11762771C2211yescharacteristic, complemented
187#11762761C2211yescharacteristic, complemented
188C17×#554C2211yescharacteristic, complemented
189C17×#546C2211yescharacteristic
190C17×#489C2211yescharacteristic, complemented
191C17×#484C2211yescharacteristic, complemented
192C17×#480C2211yescharacteristic, complemented
193C17×#474C2211yescharacteristic, complemented
194C17×#468C2211yescharacteristic, complemented
195C17×#467C2211yescharacteristic, complemented
196C17×#464C2211yescharacteristic, complemented
197C17×#452C2211yescharacteristic, complemented
198C17×#450C2211yescharacteristic, complemented
199C17×#440C2211yescharacteristic, complemented
200C17×#435C2211yescharacteristic, complemented
201C17×#417C2211yescharacteristic, complemented
202C2×C17×#102C2211yescharacteristic, complemented
203C24×D17—21no—
204C2×#41×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×C22⋊D17—21no—
207#41×D17—24no—
208#41×D17—42no—
209C2×#63256C2311yescharacteristic
210C2×#63256C2311yescharacteristic
211C2×Q8×D17C2311yescharacteristic
212C2×#63254—21no—
213C2×#63254—21no—
214C2×#63254C2311yescharacteristic
215C2×D4×D17—24no—
216C2×D4×D17—21no—
217C2×D4×D17—21no—
218C2×D4×D17—21no—
219C2×D4×D17—21no—
220C2×D4×D17—42no—
221C2×D4×D17D411yescharacteristic
222C2×D4×D17C2311yescharacteristic
223C2×D4×D17C2311yescharacteristic
224C2×D4×D17C2311yescharacteristic
225C2×D4×D17C2311yescharacteristic
226C2×#63252—21no—
227C2×#63252C2311yescharacteristic
228C22×D68C2311yescharacteristic
229C22×C4×D17—21no—
230C22×C4×D17—21no—
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C2×Q16×C17C2311yescharacteristic, complemented
234C2×SD16×C17C2311yescharacteristic
235C2×SD16×C17C2311yescharacteristic
236C2×M16×C17C2311yescharacteristic, complemented
237C22×C8×C17C2311yescharacteristic
238C17×C4⋊Q8C2311yescharacteristic, complemented
239C17×#125—21no—
240C17×#124C2311yescharacteristic
241C17×#123—21no—
242C17×C22⋊Q8—21no—
243C17×C22⋊Q8—21no—
244C17×C22⋊Q8C2311yescharacteristic
245C17×C22⋊Q8C2311yescharacteristic
246C17×C22⋊Q8C2311yescharacteristic, complemented
247C17×#121—21no—
248C17×#121C2311yescharacteristic
249C17×#120—21no—
250C4×Q8×C17C2311yescharacteristic, complemented
251C4×D4×C17—21no—
252C4×D4×C17C2311yescharacteristic
253C4×D4×C17C2311yescharacteristic
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic, complemented
256C2×C22⋊C4×C17—21no—
257#10587639—21no—
258C2×C22⋊Dic17—21no—
259#10587633—21no—
260#10587633—21no—
261#10587633C2311yescharacteristic
262#10587632—21no—
263#10587632C2311yescharacteristic
264#10587632C2311yescharacteristic
265#10587632C2311yescharacteristic, complemented
266Q8×Dic17—21no—
267Q8×Dic17C2311yescharacteristic, complemented
268C2×#63231C2311yescharacteristic, complemented
269C2×#63230C2311yescharacteristic
270C2×#63230C2311yescharacteristic
271C2×#63230C2311yescharacteristic, complemented
272#10587625—21no—
273#10587625—21no—
274#10587625—21no—
275#10587624—21no—
276#10587624C2311yescharacteristic
277#10587623—21no—
278#10587623—21no—
279#10587623—21no—
280#10587622C2311yescharacteristic
281#10587621—21no—
282D4×Dic17D411yescharacteristic
283D4×Dic17C2311yescharacteristic
284C2×#63228C2311yescharacteristic
285C2×#63228C2311yescharacteristic
286#10587616—21no—
287#10587616—21no—
288#10587616—21no—
289#10587616C2311yescharacteristic
290#10587616C2311yescharacteristic
291#10587616C2311yescharacteristic, complemented
292#10587615—21no—
293C4×C22⋊D17—21no—
294C4×C22⋊D17—21no—
295C4×C22⋊D17—21no—
296C4×C22⋊D17C2311yescharacteristic
297C4×C22⋊D17C2311yescharacteristic
298C2×#63227—21no—
299C2×#63227—21no—
300C2×#63227—21no—
301C2×#63227—21no—
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic, complemented
304#10587610C2311yescharacteristic
305C2×C4×Dic17—21no—
306C2×C4×Dic17—21no—
307C2×#63223C2311yescharacteristic, complemented
308C22×#3622C2311yescharacteristic
309#10587604—42no—
310#10587600—24no—
311#10587600—42no—
312M16×D17—42no—
313C2×D136C2311yescharacteristic
314C2×D136C2311yescharacteristic
315C2×#63219C2311yescharacteristic, complemented
316C2×#63218—42no—
317C2×#63218C2311yescharacteristic
318C2×#63218C2311yescharacteristic
319C2×#63218C2311yescharacteristic
320C2×#63218C2311yescharacteristic
321C2×#63218C2311yescharacteristic
322C2×#63218C2311yescharacteristic
323C2×C8×D17C2311yescharacteristic, complemented
324C2×C8×D17C2311yescharacteristic, complemented
325#10587584—21no—
326#10587584—21no—
327#10587584—21no—
328#10587584—21no—
329#10587584—21no—
330#10587584—21no—
331#10587583—21no—
332#10587583—21no—
333#10587583C2311yescharacteristic
334#10587582—21no—
335#10587581—21no—
336#10587581—21no—
337#10587581C2311yescharacteristic
338#10587581C2311yescharacteristic
339#10587581C2311yescharacteristic, complemented
340#10587580—21no—
341#10587580—21no—
342#10587580—21no—
343#10587580—21no—
344#10587580—21no—
345#10587580—21no—
346#10587579—21no—
347#10587579—21no—
348#10587579—21no—
349#10587579D411yescharacteristic
350#10587579C2311yescharacteristic
351#10587579C2311yescharacteristic, complemented
352#10587578—21no—
353#10587578—21no—
354#10587578—21no—
355#10587578—21no—
356#10587578—21no—
357#10587578—21no—
358#10587578C2311yescharacteristic
359#10587578C2311yescharacteristic
360#10587578C2311yescharacteristic
361#10587578C2311yescharacteristic
362#10587578C2311yescharacteristic
363#10587578C2311yescharacteristic, complemented
364#10587578C2311yescharacteristic, complemented
365C4⋊C4×D17—21no—
366C4⋊C4×D17D411yescharacteristic
367C4⋊C4×D17C2311yescharacteristic
368#10587576—21no—
369#10587576—21no—
370#10587576C2311yescharacteristic, complemented
371#10587576C2311yescharacteristic, complemented
372#10587573—21no—
373#10587572—21no—
374#10587572—21no—
375#10587572—21no—
376#10587572—21no—
377#10587572—21no—
378#10587571—21no—
379#10587571—21no—
380#10587570—21no—
381#10587570—21no—
382#10587570—21no—
383#10587569—21no—
384#10587569—21no—
385#10587568—21no—
386#10587568—21no—
387#10587568—21no—
388#10587568—21no—
389#10587568—21no—
390#10587567—21no—
391#10587567—21no—
392#10587567—21no—
393#10587567D411yescharacteristic
394#10587567D411yescharacteristic
395C22⋊C4×D17—21no—
396C22⋊C4×D17—21no—
397C22⋊C4×D17—21no—
398C22⋊C4×D17—21no—
399C22⋊C4×D17—21no—
400C22⋊C4×D17—21no—
401C22⋊C4×D17—21no—
402C22⋊C4×D17—21no—
403C22⋊C4×D17—21no—
404C22⋊C4×D17D411yescharacteristic
405C22⋊C4×D17D411yescharacteristic
406#10587564—21no—
407#10587563—21no—
408#10587563—21no—
409#10587561—21no—
410#10587561C2311yescharacteristic
411C4×D68—21no—
412C4×D68C2311yescharacteristic
413C4×D68C2311yescharacteristic
414C4×D68C2311yescharacteristic, complemented
415C42×D17—21no—
416C42×D17C2311yescharacteristic
417#10587555C2311yescharacteristic, complemented
418C4×Dic34—21no—
419C17×#107C2311yescharacteristic, complemented
420C17×#107C2311yescharacteristic, complemented
421C17×#107C2311yescharacteristic, complemented
422C17×C4⋊C8C2311yescharacteristic, complemented
423C17×#103C2311yescharacteristic, complemented
424C17×#103C2311yescharacteristic, complemented
425C17×#103C2311yescharacteristic, complemented
426C17×#103C2311yescharacteristic, complemented
427C17×#102C2311yescharacteristic
428C17×#102C2311yescharacteristic
429C17×#102C2311yescharacteristic
430C17×#102C2311yescharacteristic
431C17×#102C2311yescharacteristic
432C17×#102C2311yescharacteristic
433C17×C22⋊C8C2311yescharacteristic
434C17×C22⋊C8C2311yescharacteristic, complemented
435C17×#97C2311yescharacteristic, complemented
436#10587506C2311yescharacteristic, complemented
437#10587506C2311yescharacteristic, complemented
438#10587506C2311yescharacteristic, complemented
439#10587506C2311yescharacteristic, complemented
440#10587503C2311yescharacteristic
441#10587503C2311yescharacteristic
442#10587503C2311yescharacteristic
443#10587503C2311yescharacteristic
444#10587503C2311yescharacteristic
445#10587503C2311yescharacteristic
446C22⋊#3622C2311yescharacteristic
447C22⋊#3622C2311yescharacteristic, complemented
448#10587492C2311yescharacteristic
449#10587492C2311yescharacteristic
450#10587492C2311yescharacteristic
451#10587492C2311yescharacteristic
452#10587492C2311yescharacteristic
453#10587492C2311yescharacteristic
454#10587492C2311yescharacteristic, complemented
455#10587491C2311yescharacteristic
456#10587491C2311yescharacteristic
457#10587491C2311yescharacteristic, complemented
458#10587491C2311yescharacteristic, complemented
459#10587488C2311yescharacteristic, complemented
460#10587488C2311yescharacteristic, complemented
461#10587488C2311yescharacteristic, complemented
462#10587487C2311yescharacteristic, complemented
463#10587487C2311yescharacteristic, complemented
464#10587487C2311yescharacteristic, complemented
465#10587485C2311yescharacteristic, complemented
466#10587485C2311yescharacteristic, complemented
467C8×Dic17C2311yescharacteristic, complemented
468C8×Dic17C2311yescharacteristic, complemented
469#10587481C2311yescharacteristic, complemented
470#10587481C2311yescharacteristic, complemented
471#10587481C2311yescharacteristic, complemented
472#10587480C2311yescharacteristic
473#10587480C2311yescharacteristic
474#10587480C2311yescharacteristic
475#10587480C2311yescharacteristic
476#10587480C2311yescharacteristic
477#10587480C2311yescharacteristic
478#10587480C2311yescharacteristic, complemented
479#10587479C2311yescharacteristic, complemented
480#10587479C2311yescharacteristic, complemented
481#10587479C2311yescharacteristic, complemented
482#10587478C2311yescharacteristic, complemented
483#10587478C2311yescharacteristic, complemented
484#10587478C2311yescharacteristic, complemented
485C4⋊#3622C2311yescharacteristic, complemented
486#10587474C2311yescharacteristic, complemented
487C24×C17—21no—
488C23×D17—21no—
489C23×D17—21no—
490C23×D17—21no—
491C23×D17—21no—
492C23×D17—21no—
493C23×D17—44no—
494C23×D17—44no—
495C23×D17—82no—
496C23×D17C2×D411yescharacteristic
497C23×D17C2×D411yescharacteristic
498#41×C17—22no—
499#41×C17—41no—
500C2×Q8×C17—21no—
501C2×Q8×C17C2411yescharacteristic
502C2×Q8×C17C2411yescharacteristic
503C2×D4×C17—22no—
504C2×D4×C17—21no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—41no—
508C2×D4×C17C2×D411yescharacteristic
509C2×D4×C17C2411yescharacteristic
510C2×D4×C17C2411yescharacteristic
511C22×C4×C17—21no—
512C22×C4×C17—21no—
513C22×C4×C17—21no—
514C22×C4×C17—21no—
515C22×C4×C17C2411yescharacteristic
516C22×C4×C17C2411yescharacteristic
517C2×C22⋊D17—21no—
518C2×C22⋊D17—21no—
519C2×C22⋊D17—21no—
520C2×C22⋊D17—21no—
521C2×C22⋊D17—21no—
522C2×C22⋊D17—21no—
523C2×C22⋊D17—21no—
524C2×C22⋊D17—21no—
525C2×C22⋊D17—21no—
526C2×C22⋊D17—21no—
527C2×C22⋊D17—44no—
528C2×C22⋊D17C2×D411yescharacteristic
529C2×C22⋊D17C2×D411yescharacteristic
530C22×Dic17—21no—
531C22×Dic17—21no—
532C22×Dic17—21no—
533C22×Dic17—21no—
534C22×Dic17C2×D411yescharacteristic
535C22×Dic17C2×D411yescharacteristic
536#63256—22no—
537#63256—22no—
538#63256—22no—
539#63256—41no—
540Q8×D17—22no—
541Q8×D17—22no—
542#63254—22no—
543#63254—41no—
544#63254—44no—
545#63254—44no—
546D4×D17—22no—
547D4×D17—22no—
548D4×D17—22no—
549D4×D17—22no—
550D4×D17—22no—
551D4×D17—41no—
552D4×D17—41no—
553D4×D17—44no—
554D4×D17—44no—
555D4×D17—42no—
556D4×D17—44no—
557D4×D17—82no—
558D4×D17#4114yescomplemented
559#63252—22no—
560#63252—41no—
561#63252—44no—
562C2×D68—22no—
563C2×D68—21no—
564C2×D68—21no—
565C2×D68—21no—
566C2×D68—21no—
567C2×D68—21no—
568C2×D68—21no—
569C2×D68—41no—
570C2×D68C2×D411yescharacteristic
571C2×D68C2411yescharacteristic
572C2×D68C2411yescharacteristic
573C2×D68C2411yescharacteristic
574C2×C4×D17—22no—
575C2×C4×D17—22no—
576C2×C4×D17—22no—
577C2×C4×D17—22no—
578C2×C4×D17—21no—
579C2×C4×D17—21no—
580C2×C4×D17—21no—
581C2×C4×D17—21no—
582C2×C4×D17—21no—
583C2×C4×D17—21no—
584C2×C4×D17—21no—
585C2×C4×D17—21no—
586C2×C4×D17—21no—
587C2×C4×D17—44no—
588C2×C4×D17—82no—
589C2×C4×D17C2×D411yescharacteristic
590C2×C4×D17C2×D411yescharacteristic
591C2×C4×D17C2×D411yescharacteristic
592C2×C4×D17C2×D411yescharacteristic
593C2×C4×D17C2×D411yescharacteristic
594C2×C4×D17C2×D411yescharacteristic
595C2×C4×D17C2411yescharacteristic
596C2×C4×D17C2411yescharacteristic
597C2×C4×D17C2411yescharacteristic
598C2×Dic34—21no—
599C2×Dic34—21no—
600C2×Dic34C2411yescharacteristic
601Q16×C17—41no—
602SD16×C17—22no—
603SD16×C17—41no—
604M16×C17—41no—
605C2×C8×C17—41no—
606C2×C8×C17C2411yescharacteristic
607C2×C8×C17C2411yescharacteristic
608C2×C8×C17C2411yescharacteristic
609C2×C8×C17C2411yescharacteristic
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17—21no—
614C4⋊C4×C17—21no—
615C4⋊C4×C17—21no—
616C4⋊C4×C17—21no—
617C4⋊C4×C17C2×D411yescharacteristic
618C4⋊C4×C17C2411yescharacteristic
619C4⋊C4×C17C2411yescharacteristic
620C4⋊C4×C17C2411yescharacteristic
621C4⋊C4×C17C2411yescharacteristic
622C22⋊C4×C17—21no—
623C22⋊C4×C17—21no—
624C22⋊C4×C17—21no—
625C22⋊C4×C17—21no—
626C22⋊C4×C17—21no—
627C22⋊C4×C17—21no—
628C22⋊C4×C17—21no—
629C22⋊C4×C17C2×D411yescharacteristic
630C22⋊C4×C17C2×D411yescharacteristic
631C42×C17—21no—
632C42×C17C2411yescharacteristic
633C22⋊Dic17—21no—
634C22⋊Dic17—21no—
635C22⋊Dic17—21no—
636C22⋊Dic17—21no—
637C22⋊Dic17—21no—
638C22⋊Dic17C2×D411yescharacteristic
639C22⋊Dic17C2×D411yescharacteristic
640#63231—41no—
641#63230—22no—
642#63230—41no—
643#63230—41no—
644#63228—22no—
645#63228—41no—
646#63227—21no—
647#63227—21no—
648#63227—21no—
649#63227—21no—
650#63227—21no—
651#63227—21no—
652#63227—21no—
653#63227—21no—
654#63227—21no—
655#63227—21no—
656#63227—21no—
657#63227—21no—
658#63227—21no—
659#63227—21no—
660#63227—21no—
661#63227—21no—
662#63227—21no—
663#63227—21no—
664#63227—21no—
665#63227—21no—
666#63227—21no—
667#63227—21no—
668#63227—21no—
669#63227—21no—
670#63227—21no—
671#63227C2×D411yescharacteristic
672#63227C2×D411yescharacteristic
673#63227C2×D411yescharacteristic
674#63227C2×D411yescharacteristic
675C4⋊Dic17—21no—
676C4⋊Dic17—21no—
677C4⋊Dic17—21no—
678C4⋊Dic17—21no—
679C4⋊Dic17—21no—
680C4⋊Dic17—21no—
681C4⋊Dic17—21no—
682C4⋊Dic17C2×D411yescharacteristic
683C4⋊Dic17C2411yescharacteristic
684C4⋊Dic17C2411yescharacteristic
685C4⋊Dic17C2411yescharacteristic
686C4⋊Dic17C2411yescharacteristic
687#63225—21no—
688#63225—21no—
689#63225—21no—
690#63225—21no—
691#63225—21no—
692#63225—21no—
693#63225—21no—
694#63225C2×D411yescharacteristic
695#63225C2×D411yescharacteristic
696C4×Dic17—21no—
697C4×Dic17—21no—
698C4×Dic17—21no—
699C4×Dic17—21no—
700C4×Dic17—21no—
701C4×Dic17—21no—
702C4×Dic17—21no—
703C4×Dic17—21no—
704C4×Dic17C2×D411yescharacteristic
705C4×Dic17C2×D411yescharacteristic
706C4×Dic17C2411yescharacteristic
707#63223—41no—
708C2×#3622—41no—
709C2×#3622C2411yescharacteristic
710C2×#3622C2411yescharacteristic
711C2×#3622C2411yescharacteristic
712C2×#3622C2411yescharacteristic
713D136—22no—
714D136—41no—
715#63219—41no—
716#63218—22no—
717#63218—22no—
718#63218—22no—
719#63218—22no—
720#63218—41no—
721#63218—41no—
722C8×D17—41no—
723C8×D17—41no—
724#61156—171nomaximal, Sylow
725C23×C17—21no—
726C23×C17—21no—
727C23×C17—42no—
728C23×C17—42no—
729C23×C17—81no—
730C23×C17C22×D411yescharacteristic
731C23×C17C22×D411yescharacteristic
732C22×D17—22no—
733C22×D17—21no—
734C22×D17—22no—
735C22×D17—24no—
736C22×D17—22no—
737C22×D17—21no—
738C22×D17—21no—
739C22×D17—41no—
740C22×D17—41no—
741C22×D17—41no—
742C22×D17—42no—
743C22×D17—42no—
744C22×D17—42no—
745C22×D17—42no—
746C22×D17—42no—
747C22×D17—42no—
748C22×D17—42no—
749C22×D17—42no—
750C22×D17—42no—
751C22×D17—42no—
752C22×D17—42no—
753C22×D17—81no—
754C22×D17—81no—
755C22×D17—81no—
756C22×D17—816no—
757C22×D17C22×D411yescharacteristic
758C22×D17C22×D411yescharacteristic
759C22×D17C22×D411yescharacteristic
760Q8×C17—21no—
761Q8×C17—21no—
762Q8×C17—21no—
763Q8×C17—21no—
764Q8×C17—81no—
765D4×C17—22no—
766D4×C17—21no—
767D4×C17—21no—
768D4×C17—21no—
769D4×C17—42no—
770D4×C17—42no—
771D4×C17—81no—
772D4×C17C2×#4112yes—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C2×C4×C17—21no—
780C2×C4×C17—21no—
781C2×C4×C17—21no—
782C2×C4×C17—21no—
783C2×C4×C17—42no—
784C2×C4×C17—81no—
785C2×C4×C17—81no—
786C2×C4×C17—81no—
787C2×C4×C17C22×D411yescharacteristic
788C2×C4×C17C22×D411yescharacteristic
789C2×C4×C17C22×D411yescharacteristic
790C2×C4×C17C22×D411yescharacteristic
791C2×C4×C17C2511yescharacteristic
792C22⋊D17—22no—
793C22⋊D17—24no—
794C22⋊D17—41no—
795C22⋊D17—42no—
796C22⋊D17—42no—
797C22⋊D17—42no—
798C22⋊D17—42no—
799C22⋊D17—42no—
800C22⋊D17—42no—
801C22⋊D17—42no—
802C22⋊D17—81no—
803C22⋊D17—81no—
804C2×Dic17—22no—
805C2×Dic17—22no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—42no—
812C2×Dic17—42no—
813C2×Dic17—42no—
814C2×Dic17—81no—
815C2×Dic17C22×D411yescharacteristic
816C2×Dic17C22×D411yescharacteristic
817C2×Dic17C22×D411yescharacteristic
818C2×Dic17C22×D411yescharacteristic
819C2×Dic17C22×D411yescharacteristic
820D68—21no—
821D68—21no—
822D68—21no—
823D68—21no—
824D68—21no—
825D68—41no—
826D68—42no—
827D68—42no—
828D68—42no—
829D68—81no—
830D68—81no—
831D68—81no—
832D68C2×#4112yes—
833C4×D17—22no—
834C4×D17—22no—
835C4×D17—21no—
836C4×D17—21no—
837C4×D17—21no—
838C4×D17—21no—
839C4×D17—22no—
840C4×D17—22no—
841C4×D17—41no—
842C4×D17—41no—
843C4×D17—42no—
844C4×D17—42no—
845C4×D17—42no—
846C4×D17—42no—
847C4×D17—42no—
848C4×D17—42no—
849C4×D17—81no—
850C4×D17—81no—
851C4×D17—81no—
852C4×D17C2×#4112yes—
853C4×D17H(5,𝔽2)12yes—
854Dic34—21no—
855Dic34—21no—
856Dic34—42no—
857Dic34—42no—
858C8×C17—21no—
859C8×C17—21no—
860C8×C17—21no—
861C8×C17—21no—
862#3622—21no—
863#3622—21no—
864#3622—21no—
865#3622—21no—
866#3475—171no—
867C2×#546—171no—
868#3323—171no—
869#3323—171no—
870#3322—171no—
871#3322—171no—
872#3319—171no—
873#3319—171no—
874#3314—171no—
875#3314D1711yescharacteristic, complemented
876#3311—171no—
877#3311—171no—
878#3306—171no—
879#3306—171no—
880#3297—171no—
881#3297—171no—
882#3296—171no—
883#3296—171no—
884#3140—171no—
885#3095—171no—
886#3094—171no—
887#3077—171no—
888#3056—171no—
889#3055—171no—
890#3040—171no—
891#3005—171no—
892#3003—171no—
893C4×AGL(1,ℤ/8)—171no—
894D4×M16—171no—
895#2896—171no—
896C2×#418—171no—
897C22×C17—21no—
898C22×C17—21no—
899C22×C17—21no—
900C22×C17—21no—
901C22×C17—22no—
902C22×C17—21no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17—41no—
907C22×C17—41no—
908C22×C17—84no—
909C22×C17#57512yes—
910C22×C17C23×D411yescharacteristic
911C2×D17—21no—
912C2×D17—21no—
913C2×D17—21no—
914C2×D17—21no—
915C2×D17—21no—
916C2×D17—21no—
917C2×D17—22no—
918C2×D17—21no—
919C2×D17—21no—
920C2×D17—44no—
921C2×D17—48no—
922C2×D17—41no—
923C2×D17—41no—
924C2×D17—41no—
925C2×D17—41no—
926C2×D17—41no—
927C2×D17—41no—
928C2×D17—41no—
929C2×D17—41no—
930C2×D17—82no—
931C2×D17—84no—
932C2×D17—84no—
933C2×D17—84no—
934C2×D17—84no—
935C2×D17#54612yes—
936C4×C17—21no—
937C4×C17—21no—
938C4×C17—21no—
939C4×C17—21no—
940C4×C17—41no—
941C4×C17—41no—
942C4×C17—41no—
943C4×C17—41no—
944C4×C17—41no—
945C4×C17—41no—
946C4×C17C22×#4111yescharacteristic
947C4×C17C2×H(5,𝔽2)11yescharacteristic
948Dic17—21no—
949Dic17—21no—
950Dic17—21no—
951Dic17—21no—
952Dic17—41no—
953Dic17—41no—
954Dic17—41no—
955Dic17—41no—
956Dic17—41no—
957Dic17#54612yes—
958C22×#41—171no—
959C23×D4—171no—
960C2×#137—171no—
961C2×AGL(1,ℤ/8)—171no—
962C2×AGL(1,ℤ/8)—171no—
963C22×M16—171no—
964C22×M16—171no—
965#556—171no—
966#555—171no—
967#554C2×D1711yescharacteristic, complemented
968#553—171no—
969#553—171no—
970#552—171no—
971#552—171no—
972#552—341no—
973#551—341no—
974#551—341no—
975#547—171no—
976#546—171no—
977#546—171no—
978#546—171no—
979#546—171no—
980#546—171no—
981#546—171no—
982#546—171no—
983#546—341no—
984#546—341no—
985#546—341no—
986#546—341no—
987#546—341no—
988#546C2×D1711yescharacteristic
989#533—171no—
990#529—341no—
991#529—341no—
992#529—341no—
993C2×#124—171no—
994#525—171no—
995#525—171no—
996C2×#123—341no—
997C2×C22⋊Q8—171no—
998C2×#121—171no—
999C2×#121—341no—
1000C2×#120—341no—
1001C4×#41—171no—
1002C4×#41—341no—
1003C2×C4×D4—171no—
1004C2×C4×D4—171no—
1005C2×#117—171no—
1006C2×#117—171no—
1007C22×C22⋊C4—341no—
1008#489—171no—
1009#489—171no—
1010#489—171no—
1011#489C2×D1711yescharacteristic, complemented
1012#488—171no—
1013#488—171no—
1014#488—171no—
1015#488—171no—
1016#485—171no—
1017#485—171no—
1018#485—171no—
1019#485—171no—
1020#484—171no—
1021#484C2×D1711yescharacteristic, complemented
1022#483—171no—
1023#483—171no—
1024#482—171no—
1025#482—171no—
1026#482—171no—
1027#482—171no—
1028#481—171no—
1029#481—171no—
1030#480—171no—
1031#480C2×D1711yescharacteristic, complemented
1032#478—171no—
1033#478—171no—
1034#478—171no—
1035#478—171no—
1036#476—171no—
1037#476—171no—
1038#474—171no—
1039#474C2×D1711yescharacteristic, complemented
1040#470—171no—
1041#470—171no—
1042#469—171no—
1043#469—171no—
1044#468—171no—
1045#468—171no—
1046#468—171no—
1047#468C2×D1711yescharacteristic, complemented
1048#467—171no—
1049#467C2×D1711yescharacteristic, complemented
1050#466—171no—
1051#466—171no—
1052#465—171no—
1053#465—171no—
1054#465—171no—
1055#465—171no—
1056#464—171no—
1057#464—171no—
1058#464—171no—
1059#464C2×D1711yescharacteristic, complemented
1060#463—171no—
1061#463—171no—
1062#463—171no—
1063#463—171no—
1064#452—171no—
1065#452—171no—
1066#452—171no—
1067#452C2×D1711yescharacteristic, complemented
1068#450—171no—
1069#450—171no—
1070#450—171no—
1071#450C2×D1711yescharacteristic, complemented
1072#449—171no—
1073#449—171no—
1074#449—171no—
1075#449—171no—
1076#447—171no—
1077#447—171no—
1078#447—171no—
1079#447—171no—
1080#442—171no—
1081#442—171no—
1082#440—171no—
1083#440C2×D1711yescharacteristic, complemented
1084C4×SD16—171no—
1085C4×SD16—171no—
1086C4×D8—171no—
1087C4×D8—171no—
1088#436—171no—
1089#436—171no—
1090#435—171no—
1091#435—171no—
1092#435—171no—
1093#435C2×D1711yescharacteristic, complemented
1094C8×D4—171no—
1095C8×D4—171no—
1096#428—171no—
1097#428—171no—
1098#428—171no—
1099#423—171no—
1100#419—171no—
1101#419—171no—
1102#419—171no—
1103#418—171no—
1104#418—171no—
1105#418—171no—
1106#418—171no—
1107#418—171no—
1108#418—171no—
1109#418—171no—
1110#418—171no—
1111#418—171no—
1112#418—171no—
1113#417—171no—
1114#417—171no—
1115#417—171no—
1116#417—171no—
1117#417C2×D1711yescharacteristic, complemented
1118#416—171no—
1119#416—171no—
1120#416—171no—
1121#416—171no—
1122C2×#102—171no—
1123C2×#102—171no—
1124C2×#102—171no—
1125C2×#102C2×D1711yescharacteristic, complemented
1126#407—171no—
1127#407—171no—
1128C4×M16—171no—
1129C2×C17—22no—
1130C2×C17—42no—
1131C2×C17—41no—
1132C2×C17—81no—
1133C2×C17C2×#54611yescharacteristic
1134C2×C17C2×#57511yescharacteristic
1135C2×C17#358511yescharacteristic
1136D17—22no—
1137D17—41no—
1138D17—41no—
1139D17—42no—
1140D17—81no—
1141D17—81no—
1142C25—341no—
1143C2×#41—171no—
1144C2×#41—171no—
1145C2×#41—171no—
1146C2×#41—171no—
1147C2×#41—341no—
1148C2×#41—341no—
1149C2×#41—341no—
1150C2×#41—344no—
1151C2×#41—682no—
1152C2×#41C22×D1711yescharacteristic
1153C22×Q8—171no—
1154C22×D4—171no—
1155C22×D4—171no—
1156C22×D4—171no—
1157C22×D4—171no—
1158C22×D4—171no—
1159C22×D4—171no—
1160C22×D4—341no—
1161C22×D4—341no—
1162C22×D4—341no—
1163C22×D4—344no—
1164C22×D4—341no—
1165C22×D4—341no—
1166C22×D4—682no—
1167C22×D4C22×D1711yescharacteristic
1168C23×C4—171no—
1169C23×C4—171no—
1170C23×C4—341no—
1171C23×C4—341no—
1172#137—682no—
1173AGL(1,ℤ/8)—344no—
1174AGL(1,ℤ/8)—682no—
1175C2×Q16—171no—
1176C2×Q16C22×D1711yescharacteristic, complemented
1177C2×SD16—171no—
1178C2×SD16—171no—
1179C2×SD16—171no—
1180C2×SD16—171no—
1181C2×SD16C22×D1711yescharacteristic
1182C2×SD16C22×D1711yescharacteristic
1183C2×D8—171no—
1184C2×D8—171no—
1185C2×D8—171no—
1186C2×D8—171no—
1187C2×M16—171no—
1188C2×M16—171no—
1189C2×M16—171no—
1190C2×M16—171no—
1191C2×M16—171no—
1192C2×M16—171no—
1193C2×M16—171no—
1194C2×M16—682no—
1195C2×M16—682no—
1196C2×M16C22×D1711yescharacteristic, complemented
1197C22×C8—171no—
1198C22×C8—171no—
1199C22×C8—171no—
1200C22×C8C22×D1711yescharacteristic
1201C4⋊Q8—171no—
1202C4⋊Q8C22×D1711yescharacteristic, complemented
1203#126—341no—
1204#126—341no—
1205#126—341no—
1206#126—341no—
1207#126—341no—
1208#126—341no—
1209#125—21no—
1210#125—171no—
1211#125—171no—
1212#125—341no—
1213#125—341no—
1214#124—171no—
1215#124—171no—
1216#124—171no—
1217#124—341no—
1218#124—341no—
1219#124—341no—
1220#124—341no—
1221#124—341no—
1222#124C22×D1711yescharacteristic
1223#123—21no—
1224#123—341no—
1225#123—341no—
1226#123—341no—
1227#123—341no—
1228#123—341no—
1229#123—341no—
1230#123—341no—
1231#123—341no—
1232#123—341no—
1233#123—341no—
1234#123—341no—
1235#123—341no—
1236#123—341no—
1237#123—341no—
1238#123—341no—
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—171no—
1242C22⋊Q8—171no—
1243C22⋊Q8—171no—
1244C22⋊Q8—171no—
1245C22⋊Q8—171no—
1246C22⋊Q8—341no—
1247C22⋊Q8—341no—
1248C22⋊Q8—341no—
1249C22⋊Q8—341no—
1250C22⋊Q8—341no—
1251C22⋊Q8C22×D1711yescharacteristic
1252C22⋊Q8C22×D1711yescharacteristic
1253C22⋊Q8C22×D1711yescharacteristic, complemented
1254#121—21no—
1255#121—171no—
1256#121—171no—
1257#121—171no—
1258#121—171no—
1259#121—171no—
1260#121—171no—
1261#121—171no—
1262#121—341no—
1263#121—341no—
1264#121—341no—
1265#121—341no—
1266#121—341no—
1267#121—341no—
1268#121—341no—
1269#121—341no—
1270#121—341no—
1271#121—341no—
1272#121—341no—
1273#121—341no—
1274#121C22×D1711yescharacteristic
1275#120—21no—
1276#120—341no—
1277#120—341no—
1278#120—341no—
1279#120—341no—
1280#120—341no—
1281#120—341no—
1282#120—341no—
1283#120—341no—
1284#120—341no—
1285C4×Q8—171no—
1286C4×Q8—341no—
1287C4×Q8—341no—
1288C4×Q8—341no—
1289C4×Q8C22×D1711yescharacteristic, complemented
1290C4×D4—21no—
1291C4×D4—171no—
1292C4×D4—171no—
1293C4×D4—171no—
1294C4×D4—171no—
1295C4×D4—171no—
1296C4×D4—171no—
1297C4×D4—171no—
1298C4×D4—171no—
1299C4×D4—171no—
1300C4×D4—171no—
1301C4×D4—171no—
1302C4×D4—171no—
1303C4×D4—341no—
1304C4×D4—341no—
1305C4×D4—341no—
1306C4×D4—341no—
1307C4×D4—341no—
1308C4×D4—341no—
1309C4×D4—341no—
1310C4×D4—341no—
1311C4×D4—341no—
1312C4×D4—341no—
1313C4×D4C22×D1711yescharacteristic
1314C4×D4C22×D1711yescharacteristic
1315#117—171no—
1316#117—171no—
1317#117—171no—
1318#117—171no—
1319#117—171no—
1320#117—171no—
1321#117—171no—
1322#117—341no—
1323#117—341no—
1324#117—341no—
1325#117—341no—
1326#117—341no—
1327#117—341no—
1328#117—341no—
1329#117—341no—
1330C2×C4⋊C4—171no—
1331C2×C4⋊C4—171no—
1332C2×C4⋊C4—171no—
1333C2×C4⋊C4—171no—
1334C2×C4⋊C4—341no—
1335C2×C4⋊C4C22×D1711yescharacteristic
1336C2×C4⋊C4C22×D1711yescharacteristic, complemented
1337C2×C22⋊C4—21no—
1338C2×C22⋊C4—171no—
1339C2×C22⋊C4—171no—
1340C2×C22⋊C4—341no—
1341C2×C22⋊C4—341no—
1342C2×C22⋊C4—341no—
1343C2×C22⋊C4—341no—
1344C2×C22⋊C4—341no—
1345C2×C22⋊C4—341no—
1346C2×C22⋊C4—341no—
1347C2×C22⋊C4—341no—
1348C2×C22⋊C4—341no—
1349C2×C22⋊C4—341no—
1350C2×C22⋊C4—341no—
1351C2×C22⋊C4—341no—
1352C2×C22⋊C4—341no—
1353C2×C22⋊C4—341no—
1354C2×C42—171no—
1355C2×C42—341no—
1356C2×C42—341no—
1357C2×C42—341no—
1358#107—171no—
1359#107—171no—
1360#107—171no—
1361#107C22×D1711yescharacteristic, complemented
1362#107C22×D1711yescharacteristic, complemented
1363#107C22×D1711yescharacteristic, complemented
1364#106—171no—
1365#106—171no—
1366#106—171no—
1367#106—171no—
1368#106—171no—
1369#106—171no—
1370C4⋊C8—171no—
1371C4⋊C8—171no—
1372C4⋊C8—171no—
1373C4⋊C8C22×D1711yescharacteristic, complemented
1374#103—171no—
1375#103—171no—
1376#103—171no—
1377#103—171no—
1378#103—171no—
1379#103—171no—
1380#103—171no—
1381#103—171no—
1382#103—171no—
1383#103—171no—
1384#103C22×D1711yescharacteristic, complemented
1385#103C22×D1711yescharacteristic, complemented
1386#103C22×D1711yescharacteristic, complemented
1387#103C22×D1711yescharacteristic, complemented
1388#102—171no—
1389#102—171no—
1390#102—171no—
1391#102—171no—
1392#102—171no—
1393#102—171no—
1394#102—171no—
1395#102—171no—
1396#102—171no—
1397#102—171no—
1398#102—171no—
1399#102—171no—
1400#102—171no—
1401#102—171no—
1402#102—171no—
1403#102—171no—
1404#102—171no—
1405#102—171no—
1406#102—171no—
1407#102—171no—
1408#102C22×D1711yescharacteristic
1409#102C22×D1711yescharacteristic
1410#102C22×D1711yescharacteristic
1411#102C22×D1711yescharacteristic
1412#102C22×D1711yescharacteristic
1413#102C22×D1711yescharacteristic
1414C22⋊C8—171no—
1415C22⋊C8—171no—
1416C22⋊C8—171no—
1417C22⋊C8—171no—
1418C22⋊C8—171no—
1419C22⋊C8—171no—
1420C22⋊C8C22×D1711yescharacteristic
1421C22⋊C8C22×D1711yescharacteristic, complemented
1422#97—171no—
1423#97C22×D1711yescharacteristic, complemented
1424C4×C8—171no—
1425C4×C8—171no—
1426C17#6115611yescharacteristic, complemented, Sylow
1427C24—21no—
1428C24—171no—
1429C24—171no—
1430C24—341no—
1431C24—341no—
1432C24—341no—
1433C24—341no—
1434C24—341no—
1435C24—684no—
1436C24—684no—
1437C24—1362no—
1438#41—22no—
1439#41—41no—
1440#41—342no—
1441#41—342no—
1442#41—342no—
1443#41—342no—
1444#41—342no—
1445#41—681no—
1446#41—684no—
1447#41—681no—
1448#41—684no—
1449#41—681no—
1450#41—684no—
1451C2×Q8—21no—
1452C2×Q8—171no—
1453C2×Q8—341no—
1454C2×Q8—342no—
1455C2×Q8—342no—
1456C2×Q8—341no—
1457C2×Q8C23×D1711yescharacteristic
1458C2×Q8C23×D1711yescharacteristic
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—41no—
1464C2×D4—174no—
1465C2×D4—171no—
1466C2×D4—171no—
1467C2×D4—171no—
1468C2×D4—171no—
1469C2×D4—171no—
1470C2×D4—171no—
1471C2×D4—342no—
1472C2×D4—341no—
1473C2×D4—341no—
1474C2×D4—341no—
1475C2×D4—341no—
1476C2×D4—341no—
1477C2×D4—342no—
1478C2×D4—342no—
1479C2×D4—342no—
1480C2×D4—341no—
1481C2×D4—341no—
1482C2×D4—341no—
1483C2×D4—341no—
1484C2×D4—342no—
1485C2×D4—342no—
1486C2×D4—341no—
1487C2×D4—341no—
1488C2×D4—341no—
1489C2×D4—341no—
1490C2×D4—341no—
1491C2×D4—341no—
1492C2×D4—341no—
1493C2×D4—681no—
1494C2×D4—681no—
1495C2×D4—681no—
1496C2×D4—684no—
1497C2×D4—684no—
1498C2×D4—684no—
1499C2×D4—682no—
1500C2×D4—684no—
1501C2×D4—1362no—
1502C2×D4D4×D1711yescharacteristic
1503C2×D4C23×D1711yescharacteristic
1504C2×D4C23×D1711yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—171no—
1510C22×C4—171no—
1511C22×C4—171no—
1512C22×C4—171no—
1513C22×C4—171no—
1514C22×C4—171no—
1515C22×C4—171no—
1516C22×C4—171no—
1517C22×C4—171no—
1518C22×C4—171no—
1519C22×C4—171no—
1520C22×C4—342no—
1521C22×C4—342no—
1522C22×C4—342no—
1523C22×C4—342no—
1524C22×C4—341no—
1525C22×C4—341no—
1526C22×C4—341no—
1527C22×C4—341no—
1528C22×C4—341no—
1529C22×C4—341no—
1530C22×C4—341no—
1531C22×C4—341no—
1532C22×C4—341no—
1533C22×C4—341no—
1534C22×C4—341no—
1535C22×C4—341no—
1536C22×C4—341no—
1537C22×C4—684no—
1538C22×C4—1362no—
1539C22×C4C23×D1711yescharacteristic
1540C22×C4C23×D1711yescharacteristic
1541Q16—41no—
1542Q16—681no—
1543SD16—22no—
1544SD16—41no—
1545SD16—342no—
1546SD16—681no—
1547SD16—681no—
1548SD16—681no—
1549D8—342no—
1550D8—342no—
1551D8—681no—
1552D8—681no—
1553M16—41no—
1554M16—342no—
1555M16—342no—
1556M16—342no—
1557M16—342no—
1558M16—681no—
1559M16—681no—
1560M16—681no—
1561C2×C8—41no—
1562C2×C8—171no—
1563C2×C8—171no—
1564C2×C8—171no—
1565C2×C8—171no—
1566C2×C8—681no—
1567C2×C8—681no—
1568C2×C8—681no—
1569C2×C8C23×D1711yescharacteristic
1570C2×C8C23×D1711yescharacteristic
1571C2×C8C23×D1711yescharacteristic
1572C2×C8C23×D1711yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—171no—
1581C4⋊C4—171no—
1582C4⋊C4—171no—
1583C4⋊C4—171no—
1584C4⋊C4—171no—
1585C4⋊C4—171no—
1586C4⋊C4—171no—
1587C4⋊C4—341no—
1588C4⋊C4—341no—
1589C4⋊C4—341no—
1590C4⋊C4—341no—
1591C4⋊C4—341no—
1592C4⋊C4—341no—
1593C4⋊C4—341no—
1594C4⋊C4—341no—
1595C4⋊C4—341no—
1596C4⋊C4—341no—
1597C4⋊C4—341no—
1598C4⋊C4—341no—
1599C4⋊C4—341no—
1600C4⋊C4—341no—
1601C4⋊C4D4×D1711yescharacteristic
1602C4⋊C4C23×D1711yescharacteristic
1603C4⋊C4C23×D1711yescharacteristic
1604C4⋊C4C23×D1711yescharacteristic
1605C4⋊C4C23×D1711yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—171no—
1614C22⋊C4—171no—
1615C22⋊C4—171no—
1616C22⋊C4—171no—
1617C22⋊C4—171no—
1618C22⋊C4—171no—
1619C22⋊C4—341no—
1620C22⋊C4—341no—
1621C22⋊C4—341no—
1622C22⋊C4—341no—
1623C22⋊C4—341no—
1624C22⋊C4—341no—
1625C22⋊C4—341no—
1626C22⋊C4—341no—
1627C22⋊C4—341no—
1628C22⋊C4—341no—
1629C22⋊C4—341no—
1630C22⋊C4—341no—
1631C22⋊C4—341no—
1632C22⋊C4—341no—
1633C22⋊C4—341no—
1634C22⋊C4—341no—
1635C22⋊C4—341no—
1636C22⋊C4—341no—
1637C22⋊C4—341no—
1638C22⋊C4—341no—
1639C22⋊C4—341no—
1640C22⋊C4—341no—
1641C22⋊C4—341no—
1642C22⋊C4—341no—
1643C22⋊C4—341no—
1644C22⋊C4—341no—
1645C22⋊C4—341no—
1646C22⋊C4—341no—
1647C22⋊C4—341no—
1648C22⋊C4—341no—
1649C22⋊C4D4×D1711yescharacteristic
1650C22⋊C4D4×D1711yescharacteristic
1651C42—21no—
1652C42—171no—
1653C42—171no—
1654C42—171no—
1655C42—341no—
1656C42—341no—
1657C42—341no—
1658C42—341no—
1659C42—341no—
1660C42—341no—
1661C42—341no—
1662C42—341no—
1663C42C23×D1711yescharacteristic
1664C23—21no—
1665C23—21no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—171no—
1670C23—171no—
1671C23—171no—
1672C23—342no—
1673C23—344no—
1674C23—342no—
1675C23—342no—
1676C23—341no—
1677C23—341no—
1678C23—341no—
1679C23—681no—
1680C23—681no—
1681C23—681no—
1682C23—682no—
1683C23—682no—
1684C23—682no—
1685C23—682no—
1686C23—682no—
1687C23—682no—
1688C23—682no—
1689C23—682no—
1690C23—682no—
1691C23—682no—
1692C23—682no—
1693C23—1361no—
1694C23—1361no—
1695C23—1361no—
1696C23—13616no—
1697C23C2×D4×D1711yescharacteristic
1698C23C2×D4×D1711yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—81no—
1704Q8—341no—
1705Q8—341no—
1706Q8—682no—
1707Q8—682no—
1708D4—22no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—172no—
1716D4—344no—
1717D4—342no—
1718D4—341no—
1719D4—341no—
1720D4—341no—
1721D4—341no—
1722D4—341no—
1723D4—681no—
1724D4—682no—
1725D4—682no—
1726D4—682no—
1727D4—682no—
1728D4—681no—
1729D4—682no—
1730D4—682no—
1731D4—682no—
1732D4—682no—
1733D4—682no—
1734D4—682no—
1735D4—1361no—
1736D4—1361no—
1737D4—1361no—
1738D4—1361no—
1739D4—1361no—
1740D4#41×D1712yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—42no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—171no—
1756C2×C4—172no—
1757C2×C4—172no—
1758C2×C4—171no—
1759C2×C4—171no—
1760C2×C4—171no—
1761C2×C4—171no—
1762C2×C4—342no—
1763C2×C4—342no—
1764C2×C4—342no—
1765C2×C4—342no—
1766C2×C4—342no—
1767C2×C4—342no—
1768C2×C4—341no—
1769C2×C4—341no—
1770C2×C4—341no—
1771C2×C4—341no—
1772C2×C4—341no—
1773C2×C4—341no—
1774C2×C4—341no—
1775C2×C4—341no—
1776C2×C4—341no—
1777C2×C4—681no—
1778C2×C4—681no—
1779C2×C4—682no—
1780C2×C4—682no—
1781C2×C4—682no—
1782C2×C4—682no—
1783C2×C4—682no—
1784C2×C4—682no—
1785C2×C4—682no—
1786C2×C4—682no—
1787C2×C4—682no—
1788C2×C4—1361no—
1789C2×C4—1361no—
1790C2×C4—1361no—
1791C2×C4—1361no—
1792C2×C4C2×D4×D1711yescharacteristic
1793C2×C4C2×D4×D1711yescharacteristic
1794C2×C4C2×D4×D1711yescharacteristic
1795C2×C4C2×D4×D1711yescharacteristic
1796C2×C4C24×D1711yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—341no—
1802C8—341no—
1803C8—341no—
1804C8—341no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—22no—
1809C22—21no—
1810C22—21no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—84no—
1817C22—172no—
1818C22—341no—
1819C22—341no—
1820C22—341no—
1821C22—341no—
1822C22—342no—
1823C22—341no—
1824C22—341no—
1825C22—341no—
1826C22—341no—
1827C22—684no—
1828C22—688no—
1829C22—681no—
1830C22—681no—
1831C22—681no—
1832C22—681no—
1833C22—681no—
1834C22—681no—
1835C22—681no—
1836C22—681no—
1837C22—1364no—
1838C22—1362no—
1839C22—1364no—
1840C22—1364no—
1841C22—1364no—
1842C22#1176360812yes—
1843C22C22×D4×D1711yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—172no—
1855C4—341no—
1856C4—341no—
1857C4—341no—
1858C4—341no—
1859C4—681no—
1860C4—681no—
1861C4—681no—
1862C4—681no—
1863C4—681no—
1864C4C2×#41×D1711yescharacteristic
1865C4H(5,𝔽2)×D1711yescharacteristic
1866C2—22no—
1867C2—41no—
1868C2—42no—
1869C2—81no—
1870C2—342no—
1871C2—681no—
1872C2—681no—
1873C2—682no—
1874C2—1361no—
1875C2—1361no—
1876C2D17×#54611yescharacteristic
1877C2C2×#1176360811yescharacteristic
1878C2#1454355911yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3314C2
socleC22×C17C23×D4
hypercenter#3314D17
hypocenterC17#61156
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #14542350C2semidirect
2. D17×#546C2semidirect
3. #14540995C2semidirect
4. #14540993C2semidirect
5. #14540988C2semidirect
6. #14540986C2semidirect
7. #14540939C2semidirect
8. #14540937C2semidirect
9. #14540859C2semidirect
10. #14540827C2semidirect
11. #14540825C2semidirect
12. #14540747C2semidirect
13. #14540745C2semidirect
14. #14540632C2semidirect
15. #14540630C2semidirect
16. #14540625C2semidirect
17. #14540623C2semidirect
18. #14539169C2semidirect
19. #14538729C2semidirect
20. #14538719C2semidirect
21. #14538576C2semidirect
22. #14538411C2semidirect
23. #14538398C2semidirect
24. #14538275C2semidirect
25. #14538027C2semidirect
26. #14538012C2semidirect
27. #14537589C2semidirect
28. #14537517C2semidirect
29. #14537300C2semidirect
30. C2×#11762812C2semidirect
31. C17×#3314C2semidirect
34. C2×#10587604C22semidirect
38. C2×M16×D17C22semidirect
39. #11763532C22semidirect
40. #11763525C22semidirect
41. #11763507C22semidirect
42. #11763507C22semidirect
43. #11763501C22semidirect
44. #11763501C22semidirect
48. #11763463C22semidirect
61. #11763364C22semidirect
67. #11763322C22semidirect
73. C4×#63256C22semidirect
78. C2×#10587578C22semidirect
80. #11763171C22semidirect
81. #11763169C22semidirect
82. #11763168C22semidirect
83. #11763165C22semidirect
84. #11763165C22semidirect
85. #11763162C22semidirect
86. #11763162C22semidirect
87. #11763152C22semidirect
88. #11763152C22semidirect
89. #11763148C22semidirect
90. #11763148C22semidirect
91. #11763144C22semidirect
92. #11763140C22semidirect
93. #11763137C22semidirect
94. #11763136C22semidirect
95. #11763136C22semidirect
96. #11763132C22semidirect
97. #11763132C22semidirect
98. #11763128C22semidirect
99. #11763125C22semidirect
100. #11763122C22semidirect
101. #11763112C22semidirect
102. #11763112C22semidirect
103. #11763111C22semidirect
104. #11763111C22semidirect
105. #11763100C22semidirect
106. #11763099C22semidirect
107. #11763086C22semidirect
108. #11763066C22semidirect
109. #11763064C22semidirect
110. #11763062C22semidirect
111. #11763060C22semidirect
112. #11763058C22semidirect
113. #11763057C22semidirect
114. #11763056C22semidirect
115. #11763048C22semidirect
116. #11763046C22semidirect
117. #11763044C22semidirect
118. #11763041C22semidirect
119. #11763040C22semidirect
120. #11763038C22semidirect
121. #11763035C22semidirect
122. #11763033C22semidirect
123. #11763031C22semidirect
124. #11763029C22semidirect
125. #11763027C22semidirect
126. #11763025C22semidirect
127. #11763023C22semidirect
128. #11763021C22semidirect
129. #11762970C22semidirect
130. #11762969C22semidirect
131. #11762968C22semidirect
132. #11762959C22semidirect
133. #11762958C22semidirect
134. #11762958C22semidirect
135. #11762957C22semidirect
136. #11762956C22semidirect
137. #11762955C22semidirect
138. #11762954C22semidirect
139. #11762945C22semidirect
140. #11762944C22semidirect
141. #11762944C22semidirect
142. #11762943C22semidirect
143. #11762922C22semidirect
144. #11762919C22semidirect
145. #11762907C22semidirect
146. SD16×Dic17C22semidirect
147. #11762894C22semidirect
148. #11762891C22semidirect
149. #11762889C22semidirect
150. #11762885C22semidirect
151. #11762884C22semidirect
152. #11762882C22semidirect
153. #11762881C22semidirect
154. #11762879C22semidirect
155. C8×C22⋊D17C22semidirect
156. #11762872C22semidirect
157. #11762850C22semidirect
158. #11762850C22semidirect
159. #11762850C22semidirect
160. #11762831C22semidirect
161. #11762816C22semidirect
162. #11762816C22semidirect
163. #11762816C22semidirect
170. #11762812C22semidirect
171. #11762812C22semidirect
172. #11762812C22semidirect
173. #11762812C22semidirect
174. #11762811C22semidirect
175. #11762810C22semidirect
176. #11762809C22semidirect
177. #11762808C22semidirect
178. #11762804C22semidirect
179. #11762804C22semidirect
180. #11762802C22semidirect
181. #11762802C22semidirect
182. C2×#10587492C22semidirect
183. C2×#10587503C22semidirect
184. C2×#10587480C22semidirect
186. #11762771C22semidirect
187. #11762761C22semidirect
188. C17×#554C22semidirect
190. C17×#489C22semidirect
191. C17×#484C22semidirect
192. C17×#480C22semidirect
193. C17×#474C22semidirect
194. C17×#468C22semidirect
195. C17×#467C22semidirect
196. C17×#464C22semidirect
197. C17×#452C22semidirect
198. C17×#450C22semidirect
199. C17×#440C22semidirect
200. C17×#435C22semidirect
201. C17×#417C22semidirect
202. C2×C17×#102C22semidirect
233. C2×Q16×C17C23semidirect
236. C2×M16×C17C23semidirect
238. C17×C4⋊Q8C23semidirect
246. C17×C22⋊Q8C23semidirect
250. C4×Q8×C17C23semidirect
255. C2×C4⋊C4×C17C23semidirect
265. #10587632C23semidirect
267. Q8×Dic17C23semidirect
268. C2×#63231C23semidirect
271. C2×#63230C23semidirect
291. #10587616C23semidirect
303. C2×C4⋊Dic17C23semidirect
307. C2×#63223C23semidirect
315. C2×#63219C23semidirect
323. C2×C8×D17C23semidirect
324. C2×C8×D17C23semidirect
339. #10587581C23semidirect
351. #10587579C23semidirect
363. #10587578C23semidirect
364. #10587578C23semidirect
370. #10587576C23semidirect
371. #10587576C23semidirect
414. C4×D68C23semidirect
417. #10587555C23semidirect
419. C17×#107C23semidirect
420. C17×#107C23semidirect
421. C17×#107C23semidirect
422. C17×C4⋊C8C23semidirect
423. C17×#103C23semidirect
424. C17×#103C23semidirect
425. C17×#103C23semidirect
426. C17×#103C23semidirect
434. C17×C22⋊C8C23semidirect
435. C17×#97C23semidirect
436. #10587506C23semidirect
437. #10587506C23semidirect
438. #10587506C23semidirect
439. #10587506C23semidirect
447. C22⋊#3622C23semidirect
454. #10587492C23semidirect
457. #10587491C23semidirect
458. #10587491C23semidirect
459. #10587488C23semidirect
460. #10587488C23semidirect
461. #10587488C23semidirect
462. #10587487C23semidirect
463. #10587487C23semidirect
464. #10587487C23semidirect
465. #10587485C23semidirect
466. #10587485C23semidirect
467. C8×Dic17C23semidirect
468. C8×Dic17C23semidirect
469. #10587481C23semidirect
470. #10587481C23semidirect
471. #10587481C23semidirect
478. #10587480C23semidirect
479. #10587479C23semidirect
480. #10587479C23semidirect
481. #10587479C23semidirect
482. #10587478C23semidirect
483. #10587478C23semidirect
484. #10587478C23semidirect
485. C4⋊#3622C23semidirect
486. #10587474C23semidirect
558. D4×D17#41semidirect
875. #3314D17semidirect
967. #554C2×D17semidirect
1011. #489C2×D17semidirect
1021. #484C2×D17semidirect
1031. #480C2×D17semidirect
1039. #474C2×D17semidirect
1047. #468C2×D17semidirect
1049. #467C2×D17semidirect
1059. #464C2×D17semidirect
1067. #452C2×D17semidirect
1071. #450C2×D17semidirect
1083. #440C2×D17semidirect
1093. #435C2×D17semidirect
1117. #417C2×D17semidirect
1125. C2×#102C2×D17semidirect
1176. C2×Q16C22×D17semidirect
1196. C2×M16C22×D17semidirect
1202. C4⋊Q8C22×D17semidirect
1253. C22⋊Q8C22×D17semidirect
1289. C4×Q8C22×D17semidirect
1336. C2×C4⋊C4C22×D17semidirect
1361. #107C22×D17semidirect
1362. #107C22×D17semidirect
1363. #107C22×D17semidirect
1373. C4⋊C8C22×D17semidirect
1384. #103C22×D17semidirect
1385. #103C22×D17semidirect
1386. #103C22×D17semidirect
1387. #103C22×D17semidirect
1421. C22⋊C8C22×D17semidirect
1423. #97C22×D17semidirect
1426. C17#61156semidirect

Maximal subgroups

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

subgroupindex
#145423502
D17×#5462
#145409952
#145409932
#145409882
#145409862
#145409392
#145409372
#145408592
#145408272
#145408252
#145407472
#145407452
#145406322
#145406302
#145406252
#145406232
#145391692
#145387292
#145387192
#145385762
#145384112
#145383982
#145382752
#145380272
#145380122
#145375892
#145375172
#145373002
C2×#117628122
C17×#33142
#6115617