Finite Group Databasebeta

← #17931034

Subgroups — #17931034

Order 4352.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542728C211yesmaximal, characteristic, complemented
2#14541723C211yesmaximal, characteristic, complemented
3#14541679C211yesmaximal, characteristic, complemented
4#14541576C211yesmaximal, characteristic, complemented
5#14541552C211yesmaximal, characteristic, complemented
6#14541329C211yesmaximal, characteristic, complemented
7#14541254C211yesmaximal, characteristic, complemented
8#14541248C211yesmaximal, characteristic, complemented
9#14541233C211yesmaximal, characteristic, complemented
10#14541157C211yesmaximal, characteristic, complemented
11#14541135C211yesmaximal, characteristic, complemented
12#14540919C211yesmaximal, characteristic, complemented
13#14540859C211yesmaximal, characteristic, complemented
14#14540814C211yesmaximal, characteristic, complemented
15#14540739C211yesmaximal, characteristic, complemented
16#14540628C211yesmaximal, characteristic, complemented
17#14540602C211yesmaximal, characteristic, complemented
18#14540249C211yesmaximal, characteristic, complemented
19#14540195C211yesmaximal, characteristic, complemented
20#14540131C211yesmaximal, characteristic, complemented
21#14540082C211yesmaximal, characteristic, complemented
22#14540037C211yesmaximal, characteristic, complemented
23#14540014C211yesmaximal, characteristic, complemented
24#14539055C211yesmaximal, characteristic, complemented
25#14538962C211yesmaximal, characteristic, complemented
26#14538918C211yesmaximal, characteristic, complemented
27#14538642C211yesmaximal, characteristic, complemented
28#14538609C211yesmaximal, characteristic, complemented
29C2×#11763096C211yesmaximal, characteristic, complemented
30#14537923C211yesmaximal, characteristic, complemented
31C17×#3552C211yesmaximal, characteristic, complemented
32#11763544C2211yescharacteristic
33#11763519C2211yescharacteristic
34#11763510—21no—
35#11763505C2211yescharacteristic
36#11763499C2211yescharacteristic
37#11763486—21no—
38#11763484—21no—
39#11763463C2211yescharacteristic
40#11763455C2211yescharacteristic
41#11763455C2211yescharacteristic
42#11763448—21no—
43D4×D68C2211yescharacteristic
44#11763430C2211yescharacteristic
45#11763414C2211yescharacteristic
46#11763407—21no—
47#11763393—21no—
48#11763343C2211yescharacteristic
49#11763317—21no—
50#123×D17—21no—
51#11763289C2211yescharacteristic
52#11763283C2211yescharacteristic
53C2×C4×D68C2211yescharacteristic
54#11763219C2211yescharacteristic, complemented
55#11763215C2211yescharacteristic, complemented
56#11763215C2211yescharacteristic, complemented
57#11763215C2211yescharacteristic, complemented
58#11763208C2211yescharacteristic, complemented
59#11763205C2211yescharacteristic, complemented
60#11763175C2211yescharacteristic
61#11763171C2211yescharacteristic, complemented
62#11763171C2211yescharacteristic, complemented
63#11763171C2211yescharacteristic, complemented
64#11763166C2211yescharacteristic, complemented
65#11763157C2211yescharacteristic
66#11763150C2211yescharacteristic, complemented
67#11763147C2211yescharacteristic, complemented
68#11763144C2211yescharacteristic, complemented
69#11763144C2211yescharacteristic, complemented
70#11763139C2211yescharacteristic, complemented
71#11763137C2211yescharacteristic, complemented
72#11763137C2211yescharacteristic, complemented
73#11763133C2211yescharacteristic
74#11763133C2211yescharacteristic, complemented
75#11763133C2211yescharacteristic, complemented
76#11763130C2211yescharacteristic, complemented
77#11763127C2211yescharacteristic
78#11763127C2211yescharacteristic
79#11763127C2211yescharacteristic
80#11763127C2211yescharacteristic, complemented
81#11763125C2211yescharacteristic, complemented
82#11763122C2211yescharacteristic, complemented
83#11763120C2211yescharacteristic, complemented
84#11763116C2211yescharacteristic, complemented
85#11763116C2211yescharacteristic, complemented
86#11763113C2211yescharacteristic, complemented
87#11763113C2211yescharacteristic, complemented
88#11763109C2211yescharacteristic, complemented
89#11763109C2211yescharacteristic, complemented
90#11763106C2211yescharacteristic
91#11763106C2211yescharacteristic
92#11763106C2211yescharacteristic
93#11763106C2211yescharacteristic, complemented
94#11763106C2211yescharacteristic, complemented
95#11763106C2211yescharacteristic, complemented
96#11763099C2211yescharacteristic, complemented
97#11763096C2211yescharacteristic
98#11763096C2211yescharacteristic
99#11763096C2211yescharacteristic
100#11763096C2211yescharacteristic
101#11763096C2211yescharacteristic
102#11763096C2211yescharacteristic, complemented
103#11763096C2211yescharacteristic, complemented
104#11763096C2211yescharacteristic, complemented
105#11763096C2211yescharacteristic, complemented
106#11763096C2211yescharacteristic, complemented
107#11763094C2211yescharacteristic, complemented
108#11763091C2211yescharacteristic, complemented
109#11763091C2211yescharacteristic, complemented
110#11763091C2211yescharacteristic, complemented
111#11763086C2211yescharacteristic
112#11763086C2211yescharacteristic, complemented
113#11763086C2211yescharacteristic, complemented
114#11763065C2211yescharacteristic, complemented
115#11763060C2211yescharacteristic
116#11763060C2211yescharacteristic, complemented
117#11763057C2211yescharacteristic, complemented
118#11763048C2211yescharacteristic, complemented
119#11763043C2211yescharacteristic
120#11763043C2211yescharacteristic, complemented
121#11763040C2211yescharacteristic
122#11763040C2211yescharacteristic
123#11763040C2211yescharacteristic, complemented
124#11763036C2211yescharacteristic, complemented
125#11763036C2211yescharacteristic, complemented
126#11763031C2211yescharacteristic, complemented
127#11763031C2211yescharacteristic, complemented
128#11763028C2211yescharacteristic, complemented
129#11763024C2211yescharacteristic, complemented
130#11763024C2211yescharacteristic, complemented
131#11763021C2211yescharacteristic
132#11763021C2211yescharacteristic, complemented
133#11763021C2211yescharacteristic, complemented
134#11763009C2211yescharacteristic
135#11763004C2211yescharacteristic
136#11762969C2211yescharacteristic
137#11762959C2211yescharacteristic
138#11762959C2211yescharacteristic
139#11762952C2211yescharacteristic
140#11762942C2211yescharacteristic
141#11762942C2211yescharacteristic
142#11762940C2211yescharacteristic, complemented
143#11762940C2211yescharacteristic, complemented
144#11762919C2211yescharacteristic
145#11762919C2211yescharacteristic
146#11762919C2211yescharacteristic, complemented
147#11762919C2211yescharacteristic, complemented
148#11762914C2211yescharacteristic, complemented
149#11762907C2211yescharacteristic
150#11762907C2211yescharacteristic
151#11762907C2211yescharacteristic, complemented
152C4×#63230C2211yescharacteristic
153C4×#63230C2211yescharacteristic, complemented
154C4×#63229C2211yescharacteristic, complemented
155C4×#63228C2211yescharacteristic
156#11762881C2211yescharacteristic
157#11762881C2211yescharacteristic, complemented
158#11762881C2211yescharacteristic, complemented
159#11762881C2211yescharacteristic, complemented
160D4×#3622C2211yescharacteristic
161D4×#3622C2211yescharacteristic, complemented
162#11762870C2211yescharacteristic, complemented
163#11762870C2211yescharacteristic, complemented
164#11762866C2211yescharacteristic, complemented
165#11762852C2211yescharacteristic, complemented
166#11762849C2211yescharacteristic, complemented
167#11762845C2211yescharacteristic, complemented
168C2×#10587479C2211yescharacteristic, complemented
169C2×#10587479C2211yescharacteristic, complemented
170C2×#10587479C2211yescharacteristic, complemented
171#11762836C2211yescharacteristic, complemented
172#11762836C2211yescharacteristic, complemented
173C2×C4⋊#3622C2211yescharacteristic, complemented
174#11762813C2211yescharacteristic
175#11762808C2211yescharacteristic
176#11762803C2211yescharacteristic
177C2×#10587480C2211yescharacteristic
178C2×#10587480C2211yescharacteristic
179C2×#10587480C2211yescharacteristic
180C17×#563—21no—
181C17×#563—21no—
182C17×#557C2211yescharacteristic, complemented
183C17×#556C2211yescharacteristic, complemented
184C17×#554C2211yescharacteristic
185C17×#554C2211yescharacteristic, complemented
186C17×#553C2211yescharacteristic
187C17×#553C2211yescharacteristic, complemented
188D4×Q8×C17—21no—
189D4×Q8×C17C2211yescharacteristic, complemented
190C17×#548—21no—
191C17×#547C2211yescharacteristic, complemented
192C17×#544C2211yescharacteristic, complemented
193C17×#544C2211yescharacteristic, complemented
194C17×#542C2211yescharacteristic, complemented
195C17×#542C2211yescharacteristic, complemented
196C17×#541—21no—
197C17×#539—21no—
198C17×#539—21no—
199C17×#536—21no—
200C2×C17×C4⋊Q8C2211yescharacteristic, complemented
201C17×#529C2211yescharacteristic
202C17×#529C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C22×Q8×C17—21no—
205C22×Q8×C17—21no—
206C2×#63254—21no—
207C2×D4×D17—21no—
208C2×#63252C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×D68C2311yescharacteristic
211C22×C4×D17—21no—
212C17×C4⋊Q8—21no—
213C17×C4⋊Q8—21no—
214C17×C4⋊Q8—21no—
215C17×C4⋊Q8—21no—
216C17×C4⋊Q8—21no—
217C17×C4⋊Q8C2311yescharacteristic
218C17×C4⋊Q8C2311yescharacteristic
219C17×C4⋊Q8C2311yescharacteristic
220C17×C4⋊Q8C2311yescharacteristic
221C17×C4⋊Q8C2311yescharacteristic
222C17×C4⋊Q8C2311yescharacteristic
223C17×#126—21no—
224C17×#126—21no—
225C17×#126—21no—
226C17×#126—21no—
227C17×#126—21no—
228C17×#126—21no—
229C17×#126—21no—
230C17×#126D411yescharacteristic
231C17×#126D411yescharacteristic
232C17×#125—21no—
233C17×#125—21no—
234C17×#125—21no—
235C17×#125—21no—
236C17×#125—21no—
237C17×#125—21no—
238C17×#125D411yescharacteristic
239C17×#125C2311yescharacteristic
240C17×#125C2311yescharacteristic
241C17×#125C2311yescharacteristic
242C17×#124—21no—
243C17×#124—21no—
244C17×#124—21no—
245C17×#124D411yescharacteristic
246C17×#124C2311yescharacteristic
247C17×#123—21no—
248C17×#123—21no—
249C17×#123—21no—
250C17×#123—21no—
251C17×#123—21no—
252C17×#123—21no—
253C17×#123—21no—
254C17×#123D411yescharacteristic
255C17×#123D411yescharacteristic
256C17×C22⋊Q8—21no—
257C17×C22⋊Q8—21no—
258C17×C22⋊Q8—21no—
259C17×C22⋊Q8—21no—
260C17×C22⋊Q8—21no—
261C17×C22⋊Q8—21no—
262C17×C22⋊Q8—21no—
263C17×C22⋊Q8—21no—
264C17×C22⋊Q8—21no—
265C17×C22⋊Q8—21no—
266C17×C22⋊Q8—21no—
267C17×C22⋊Q8—21no—
268C17×C22⋊Q8—21no—
269C17×C22⋊Q8—21no—
270C17×C22⋊Q8D411yescharacteristic
271C17×C22⋊Q8C2311yescharacteristic
272C17×C22⋊Q8C2311yescharacteristic
273C17×C22⋊Q8C2311yescharacteristic
274C17×#121—21no—
275C17×#121—21no—
276C17×#121D411yescharacteristic
277C17×#121C2311yescharacteristic
278C17×#121C2311yescharacteristic
279C17×#121C2311yescharacteristic
280C4×Q8×C17—21no—
281C4×Q8×C17—21no—
282C4×Q8×C17C2311yescharacteristic
283C4×Q8×C17C2311yescharacteristic
284C4×Q8×C17C2311yescharacteristic
285C4×Q8×C17C2311yescharacteristic
286C4×D4×C17—21no—
287C4×D4×C17—21no—
288C4×D4×C17—21no—
289C4×D4×C17—21no—
290C4×D4×C17—21no—
291C4×D4×C17C2311yescharacteristic
292C4×D4×C17C2311yescharacteristic
293C4×D4×C17C2311yescharacteristic
294C4×D4×C17C2311yescharacteristic
295C4×D4×C17C2311yescharacteristic
296C4×D4×C17C2311yescharacteristic
297C17×#117—21no—
298C17×#117C2311yescharacteristic
299C17×#117C2311yescharacteristic
300C17×#117C2311yescharacteristic
301C17×#117C2311yescharacteristic
302C2×C4⋊C4×C17—21no—
303C2×C4⋊C4×C17C2311yescharacteristic
304C2×C4⋊C4×C17C2311yescharacteristic
305C2×C4⋊C4×C17C2311yescharacteristic
306C2×C4⋊C4×C17C2311yescharacteristic
307C2×C42×C17C2311yescharacteristic
308#10587633—21no—
309#10587632—21no—
310C2×#63231C2311yescharacteristic
311C2×#63230C2311yescharacteristic
312C2×#63230C2311yescharacteristic
313C2×#63230C2311yescharacteristic
314#10587625—21no—
315#10587623—21no—
316#10587623—21no—
317#10587621—21no—
318C2×#63229C2311yescharacteristic
319C2×#63228C2311yescharacteristic
320C2×#63228C2311yescharacteristic
321C2×#63228C2311yescharacteristic
322#10587616C2311yescharacteristic
323#10587616C2311yescharacteristic
324#10587616C2311yescharacteristic
325#10587616C2311yescharacteristic
326#10587615—21no—
327C4×C22⋊D17—21no—
328C2×#63227—21no—
329#10587612C2311yescharacteristic
330C2×C4⋊Dic17C2311yescharacteristic
331C2×C4⋊Dic17C2311yescharacteristic
332#10587610C2311yescharacteristic
333#10587610C2311yescharacteristic
334C2×#63223C2311yescharacteristic
335C2×#63223C2311yescharacteristic
336C22×#3622C2311yescharacteristic
337C22×#3622C2311yescharacteristic
338C22×#3622C2311yescharacteristic
339C22×#3622C2311yescharacteristic
340#10587584—21no—
341#10587584—21no—
342#10587583—21no—
343#10587582—21no—
344#10587582—21no—
345#10587582—21no—
346#10587581—21no—
347#10587580—21no—
348#10587580—21no—
349#10587580—21no—
350#10587580—21no—
351#10587580—21no—
352#10587580—21no—
353#10587579—21no—
354#10587579—21no—
355#10587579—21no—
356#10587578—21no—
357C4⋊C4×D17—21no—
358C4⋊C4×D17—21no—
359#10587575—21no—
360#10587572—21no—
361#10587572—21no—
362#10587571—21no—
363#10587570—21no—
364#10587570—21no—
365#10587570—21no—
366#10587570—21no—
367#10587569—21no—
368#10587569—21no—
369#10587568—21no—
370#10587568—21no—
371#10587567—21no—
372#10587567—21no—
373#10587567—21no—
374C22⋊C4×D17—21no—
375C22⋊C4×D17—21no—
376C22⋊C4×D17—21no—
377C22⋊C4×D17—21no—
378#10587565—21no—
379#10587563—21no—
380#10587562—21no—
381#10587561C2311yescharacteristic
382#10587561C2311yescharacteristic
383#10587560C2311yescharacteristic
384C4×D68—21no—
385C4×D68—21no—
386C4×D68C2311yescharacteristic
387C4×D68C2311yescharacteristic
388C4×D68C2311yescharacteristic
389C4×D68C2311yescharacteristic
390C4×D68C2311yescharacteristic
391C4×D68C2311yescharacteristic
392C4×D68C2311yescharacteristic
393C4×D68C2311yescharacteristic
394#10587558—21no—
395#10587556C2311yescharacteristic
396#10587556C2311yescharacteristic
397#10587555C2311yescharacteristic
398C4×Dic34C2311yescharacteristic
399C4×Dic34C2311yescharacteristic
400#10587506C2311yescharacteristic
401#10587506C2311yescharacteristic
402#10587506C2311yescharacteristic
403#10587506C2311yescharacteristic
404#10587503C2311yescharacteristic
405#10587503C2311yescharacteristic
406#10587503C2311yescharacteristic
407#10587503C2311yescharacteristic
408C22⋊#3622C2311yescharacteristic
409C22⋊#3622C2311yescharacteristic
410C22⋊#3622C2311yescharacteristic
411C22⋊#3622C2311yescharacteristic
412C22⋊#3622C2311yescharacteristic
413C22⋊#3622C2311yescharacteristic
414#10587481C2311yescharacteristic
415#10587481C2311yescharacteristic
416#10587481C2311yescharacteristic
417#10587481C2311yescharacteristic
418#10587481C2311yescharacteristic
419#10587481C2311yescharacteristic
420#10587480C2311yescharacteristic
421#10587480C2311yescharacteristic
422#10587480C2311yescharacteristic
423#10587480C2311yescharacteristic
424#10587480C2311yescharacteristic
425#10587480C2311yescharacteristic
426#10587480C2311yescharacteristic
427#10587480C2311yescharacteristic
428#10587480C2311yescharacteristic
429#10587480C2311yescharacteristic
430#10587480C2311yescharacteristic
431#10587480C2311yescharacteristic
432#10587480C2311yescharacteristic
433#10587480C2311yescharacteristic
434#10587480C2311yescharacteristic
435#10587480C2311yescharacteristic
436#10587480C2311yescharacteristic
437#10587480C2311yescharacteristic
438#10587479C2311yescharacteristic
439#10587479C2311yescharacteristic
440#10587479C2311yescharacteristic
441#10587479C2311yescharacteristic
442#10587479C2311yescharacteristic
443#10587479C2311yescharacteristic
444#10587479C2311yescharacteristic
445#10587479C2311yescharacteristic
446#10587479C2311yescharacteristic
447#10587479C2311yescharacteristic
448#10587479C2311yescharacteristic
449#10587479C2311yescharacteristic
450#10587479C2311yescharacteristic
451#10587479C2311yescharacteristic
452#10587479C2311yescharacteristic
453#10587479C2311yescharacteristic
454#10587478C2311yescharacteristic
455#10587478C2311yescharacteristic
456#10587478C2311yescharacteristic
457#10587478C2311yescharacteristic
458#10587478C2311yescharacteristic
459#10587478C2311yescharacteristic
460#10587478C2311yescharacteristic
461#10587478C2311yescharacteristic
462C4⋊#3622C2311yescharacteristic
463C4⋊#3622C2311yescharacteristic
464C4⋊#3622C2311yescharacteristic
465C4⋊#3622C2311yescharacteristic
466C4⋊#3622C2311yescharacteristic
467C4⋊#3622C2311yescharacteristic
468C4⋊#3622C2311yescharacteristic
469C4⋊#3622C2311yescharacteristic
470C4⋊#3622C2311yescharacteristic
471C4⋊#3622C2311yescharacteristic
472#10587474C2311yescharacteristic
473#10587474C2311yescharacteristic
474#10587474C2311yescharacteristic
475#10587474C2311yescharacteristic
476C4×#3622C2311yescharacteristic
477C4×#3622C2311yescharacteristic
478C23×D17—21no—
479C23×D17—21no—
480#41×C17—82no—
481C2×Q8×C17—21no—
482C2×Q8×C17—21no—
483C2×Q8×C17—21no—
484C2×Q8×C17—21no—
485C2×Q8×C17—21no—
486C2×Q8×C17—21no—
487C2×Q8×C17—82no—
488C2×Q8×C17—82no—
489C2×Q8×C17C2×D411yescharacteristic
490C2×Q8×C17C2411yescharacteristic
491C2×D4×C17—21no—
492C2×D4×C17—21no—
493C2×D4×C17—21no—
494C2×D4×C17C2×D411yescharacteristic
495C2×D4×C17C2×D411yescharacteristic
496C2×D4×C17C2×D411yescharacteristic
497C2×D4×C17C2411yescharacteristic
498C22×C4×C17—21no—
499C22×C4×C17—21no—
500C22×C4×C17—21no—
501C22×C4×C17—21no—
502C22×C4×C17—21no—
503C22×C4×C17—21no—
504C22×C4×C17—21no—
505C22×C4×C17C2×D411yescharacteristic
506C22×C4×C17C2×D411yescharacteristic
507C22×C4×C17C2411yescharacteristic
508C22×C4×C17C2411yescharacteristic
509C22×C4×C17C2411yescharacteristic
510C2×C22⋊D17—21no—
511C2×C22⋊D17—21no—
512C2×C22⋊D17—21no—
513C2×C22⋊D17—21no—
514C2×C22⋊D17—21no—
515C22×Dic17—21no—
516C22×Dic17—21no—
517#63254—82no—
518D4×D17—82no—
519#63252—22no—
520#63252—41no—
521C2×D68—22no—
522C2×D68—22no—
523C2×D68—21no—
524C2×D68—21no—
525C2×D68—21no—
526C2×D68—21no—
527C2×D68—41no—
528C2×D68—41no—
529C2×D68C2411yescharacteristic
530C2×D68C2411yescharacteristic
531C2×D68C2411yescharacteristic
532C2×C4×D17—21no—
533C2×C4×D17—21no—
534C2×C4×D17—21no—
535C2×C4×D17—21no—
536C2×C4×D17—21no—
537C2×C4×D17—21no—
538C2×C4×D17—21no—
539C2×C4×D17—21no—
540C2×C4×D17—21no—
541C2×C4×D17—82no—
542C2×Dic34—21no—
543C2×Dic34C2411yescharacteristic
544C4⋊C4×C17—21no—
545C4⋊C4×C17—21no—
546C4⋊C4×C17—21no—
547C4⋊C4×C17—21no—
548C4⋊C4×C17—21no—
549C4⋊C4×C17—21no—
550C4⋊C4×C17—21no—
551C4⋊C4×C17—21no—
552C4⋊C4×C17—21no—
553C4⋊C4×C17—21no—
554C4⋊C4×C17—21no—
555C4⋊C4×C17—21no—
556C4⋊C4×C17—21no—
557C4⋊C4×C17—21no—
558C4⋊C4×C17—21no—
559C4⋊C4×C17—21no—
560C4⋊C4×C17—21no—
561C4⋊C4×C17—21no—
562C4⋊C4×C17—21no—
563C4⋊C4×C17—21no—
564C4⋊C4×C17—21no—
565C4⋊C4×C17—21no—
566C4⋊C4×C17C2×D411yescharacteristic
567C4⋊C4×C17C2×D411yescharacteristic
568C4⋊C4×C17C2×D411yescharacteristic
569C4⋊C4×C17C2×D411yescharacteristic
570C4⋊C4×C17C2×D411yescharacteristic
571C4⋊C4×C17C2×D411yescharacteristic
572C4⋊C4×C17C2×D411yescharacteristic
573C4⋊C4×C17C2×D411yescharacteristic
574C4⋊C4×C17C2×D411yescharacteristic
575C4⋊C4×C17C2×D411yescharacteristic
576C4⋊C4×C17C2411yescharacteristic
577C4⋊C4×C17C2411yescharacteristic
578C4⋊C4×C17C2411yescharacteristic
579C4⋊C4×C17C2411yescharacteristic
580C4⋊C4×C17C2411yescharacteristic
581C4⋊C4×C17C2411yescharacteristic
582C22⋊C4×C17—21no—
583C22⋊C4×C17—21no—
584C22⋊C4×C17—21no—
585C22⋊C4×C17—21no—
586C22⋊C4×C17—21no—
587C22⋊C4×C17—21no—
588C22⋊C4×C17—21no—
589C22⋊C4×C17—21no—
590C22⋊C4×C17—21no—
591C22⋊C4×C17—21no—
592C22⋊C4×C17—21no—
593C22⋊C4×C17—21no—
594C22⋊C4×C17—21no—
595C22⋊C4×C17C2×D411yescharacteristic
596C22⋊C4×C17C2×D411yescharacteristic
597C22⋊C4×C17C2×D411yescharacteristic
598C22⋊C4×C17C2×D411yescharacteristic
599C22⋊C4×C17C2×D411yescharacteristic
600C22⋊C4×C17C2×D411yescharacteristic
601C22⋊C4×C17C2×D411yescharacteristic
602C22⋊C4×C17C2×D411yescharacteristic
603C22⋊C4×C17C2×D411yescharacteristic
604C22⋊C4×C17C2×D411yescharacteristic
605C42×C17—21no—
606C42×C17—21no—
607C42×C17—21no—
608C42×C17—21no—
609C42×C17—21no—
610C42×C17C2×D411yescharacteristic
611C42×C17C2×D411yescharacteristic
612C42×C17C2411yescharacteristic
613C42×C17C2411yescharacteristic
614C42×C17C2411yescharacteristic
615C42×C17C2411yescharacteristic
616C22⋊Dic17—21no—
617C22⋊Dic17—21no—
618C22⋊Dic17—21no—
619#63231—41no—
620#63230—22no—
621#63230—41no—
622#63230—41no—
623#63229—41no—
624#63228—22no—
625#63228—41no—
626#63228—41no—
627#63227—21no—
628#63227—21no—
629#63227—21no—
630#63227—21no—
631#63227—21no—
632#63227—21no—
633#63227—21no—
634#63227—21no—
635#63227—21no—
636#63227—21no—
637#63227—21no—
638#63227—21no—
639#63227—21no—
640#63227—21no—
641#63227—21no—
642#63227—21no—
643C4⋊Dic17—21no—
644C4⋊Dic17—21no—
645C4⋊Dic17—21no—
646C4⋊Dic17C2411yescharacteristic
647C4⋊Dic17C2411yescharacteristic
648C4⋊Dic17C2411yescharacteristic
649C4⋊Dic17C2411yescharacteristic
650#63225—21no—
651#63225—21no—
652#63225—21no—
653#63225—21no—
654#63225—21no—
655#63225—21no—
656#63225—21no—
657#63225—21no—
658C4×Dic17—21no—
659C4×Dic17—21no—
660C4×Dic17—21no—
661#63223—41no—
662#63223—41no—
663C2×#3622—41no—
664C2×#3622—41no—
665C2×#3622—41no—
666C2×#3622—41no—
667C2×#3622C2411yescharacteristic
668C2×#3622C2411yescharacteristic
669C2×#3622C2411yescharacteristic
670C2×#3622C2411yescharacteristic
671C2×#3622C2411yescharacteristic
672C2×#3622C2411yescharacteristic
673C2×#3622C2411yescharacteristic
674C2×#3622C2411yescharacteristic
675#62156—171nomaximal, Sylow
676C23×C17—21no—
677C23×C17C22×D411yescharacteristic
678C23×C17C22×D411yescharacteristic
679C23×C17C22×D411yescharacteristic
680C22×D17—21no—
681C22×D17—21no—
682C22×D17—21no—
683C22×D17—42no—
684C22×D17—42no—
685C22×D17—42no—
686C22×D17—81no—
687C22×D17—81no—
688C22×D17—81no—
689Q8×C17—21no—
690Q8×C17—21no—
691Q8×C17—41no—
692Q8×C17—42no—
693Q8×C17—42no—
694Q8×C17—81no—
695Q8×C17—81no—
696Q8×C17—81no—
697Q8×C17—81no—
698D4×C17—22no—
699D4×C17—22no—
700D4×C17—21no—
701D4×C17—21no—
702D4×C17—41no—
703D4×C17—42no—
704D4×C17—81no—
705D4×C17—81no—
706C2×C4×C17—22no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—41no—
721C2×C4×C17—42no—
722C2×C4×C17—81no—
723C2×C4×C17—81no—
724C2×C4×C17—81no—
725C2×C4×C17—81no—
726C2×C4×C17—81no—
727C2×C4×C17—81no—
728C2×C4×C17C22×D411yescharacteristic
729C2×C4×C17C22×D411yescharacteristic
730C2×C4×C17C22×D411yescharacteristic
731C2×C4×C17C22×D411yescharacteristic
732C2×C4×C17C22×D411yescharacteristic
733C2×C4×C17C22×D411yescharacteristic
734C2×C4×C17C22×D411yescharacteristic
735C2×C4×C17C22×D411yescharacteristic
736C2×C4×C17C22×D411yescharacteristic
737C2×C4×C17C22×D411yescharacteristic
738C2×C4×C17C22×D411yescharacteristic
739C2×C4×C17C2511yescharacteristic
740C22⋊D17—42no—
741C22⋊D17—42no—
742C22⋊D17—81no—
743C22⋊D17—81no—
744C22⋊D17—81no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—42no—
751C2×Dic17—81no—
752D68—21no—
753D68—21no—
754D68—21no—
755D68—21no—
756D68—21no—
757D68—42no—
758D68—42no—
759D68—81no—
760D68—81no—
761D682−1+412yes—
762C4×D17—42no—
763C4×D17—81no—
764C4×D17—81no—
765C4×D17—81no—
766C4×D17—81no—
767C4×D17—81no—
768C4×D17—81no—
769C4×D17—81no—
770C4×D17—81no—
771Dic34—21no—
772Dic34—21no—
773Dic34—81no—
774#3622—21no—
775#3622—21no—
776#3622—21no—
777#3622—21no—
778#3622—21no—
779#3622—21no—
780#3622—21no—
781#3622—21no—
782#3552D1711yescharacteristic, complemented
783#3513—171no—
784#3388—171no—
785#3384—171no—
786#3373—171no—
787#3371—171no—
788#3350—171no—
789#3345—171no—
790#3345—171no—
791#3344—171no—
792#3337—171no—
793#3335—171no—
794#3318—171no—
795#3314—171no—
796#3311—171no—
797#3306—171no—
798#3297—171no—
799#3295—171no—
800#3263—171no—
801#3257—171no—
802#3250—171no—
803#3244—171no—
804#3241—171no—
805#3239—171no—
806#3125—171no—
807#3118—171no—
808#3114—171no—
809#3084—171no—
810#3081—171no—
811C2×#476—171no—
812#2992—171no—
813C22×C17—21no—
814C22×C17—21no—
815C22×C17—21no—
816C22×C17—21no—
817C22×C17—21no—
818C22×C17—21no—
819C22×C17—21no—
820C22×C17—21no—
821C22×C17—41no—
822C22×C17—41no—
823C22×C17—41no—
824C22×C17#57712yes—
825C22×C17C23×D411yescharacteristic
826C2×D17—22no—
827C2×D17—41no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—41no—
835C2×D17—84no—
836C2×D17—162no—
837C4×C17—21no—
838C4×C17—21no—
839C4×C17—21no—
840C4×C17—21no—
841C4×C17—21no—
842C4×C17—21no—
843C4×C17—21no—
844C4×C17—21no—
845C4×C17—21no—
846C4×C17—21no—
847C4×C17—21no—
848C4×C17—41no—
849C4×C17—41no—
850C4×C17—41no—
851C4×C17—41no—
852C4×C17—41no—
853C4×C17—41no—
854C4×C17—41no—
855C4×C17C2×2−1+411yescharacteristic
856C4×C17#58511yescharacteristic
857Dic17—41no—
858Dic17—41no—
859Dic17—41no—
860Dic17—41no—
861Dic17—41no—
862#563—21no—
863#563—21no—
864#559—171no—
865#557C2×D1711yescharacteristic, complemented
866#556C2×D1711yescharacteristic, complemented
867#554—171no—
868#554C2×D1711yescharacteristic
869#554C2×D1711yescharacteristic, complemented
870#553—171no—
871#553—341no—
872#553C2×D1711yescharacteristic
873#553C2×D1711yescharacteristic, complemented
874#552—171no—
875#551—341no—
876#551—341no—
877D4×Q8—21no—
878D4×Q8C2×D1711yescharacteristic, complemented
879#548—21no—
880#547—171no—
881#547C2×D1711yescharacteristic, complemented
882#546—171no—
883#546—171no—
884#546—341no—
885D42—171no—
886#544C2×D1711yescharacteristic, complemented
887#544C2×D1711yescharacteristic, complemented
888#542—171no—
889#542C2×D1711yescharacteristic, complemented
890#542C2×D1711yescharacteristic, complemented
891#541—21no—
892#540—171no—
893#539—21no—
894#539—21no—
895#539—341no—
896#538—341no—
897#536—21no—
898C2×C4⋊Q8C2×D1711yescharacteristic, complemented
899#529—171no—
900#529C2×D1711yescharacteristic
901#529C2×D1711yescharacteristic, complemented
902#525—341no—
903C2×#123—341no—
904#520—171no—
905#518—171no—
906C2×C4×D4—171no—
907#501—171no—
908#501—171no—
909#501—171no—
910#501—171no—
911#499—171no—
912#498—171no—
913#490—171no—
914#489—171no—
915#489—171no—
916#489—171no—
917#488—171no—
918#486—171no—
919#485—171no—
920#485—171no—
921#484—171no—
922#484—171no—
923#483—171no—
924#483—171no—
925#483—171no—
926#482—171no—
927#482—171no—
928#482—171no—
929#482—171no—
930#481—171no—
931#481—171no—
932#481—171no—
933#481—171no—
934#481—171no—
935#480—171no—
936#480—171no—
937#479—171no—
938#479—171no—
939#479—171no—
940#479—171no—
941#478—171no—
942#478—171no—
943#478—171no—
944#478—171no—
945#478—171no—
946#478—171no—
947#478—171no—
948#478—171no—
949#476—171no—
950#476—171no—
951#476—171no—
952#476—171no—
953#476—171no—
954#476—171no—
955#476—171no—
956#476—171no—
957#476—171no—
958#476—171no—
959#476—171no—
960#475—171no—
961#475—171no—
962#475—171no—
963#475—171no—
964#474—171no—
965#474—171no—
966#474—171no—
967#470—171no—
968#469—171no—
969#469—171no—
970#468—171no—
971#467—171no—
972#466—171no—
973#466—171no—
974#465—171no—
975#465—171no—
976#465—171no—
977#465—171no—
978#465—171no—
979#464—171no—
980#464—171no—
981#464—171no—
982#463—171no—
983#463—171no—
984#463—171no—
985#463—171no—
986#463—171no—
987#460—171no—
988#459—171no—
989#452—171no—
990#450—171no—
991#450—171no—
992#449—171no—
993#447—171no—
994#447—171no—
995#446—171no—
996#446—171no—
997#442—171no—
998#442—171no—
999#442—171no—
1000#442—171no—
1001#441—171no—
1002#440—171no—
1003#440—171no—
1004#440—171no—
1005C4×SD16—171no—
1006C4×SD16—171no—
1007C4×SD16—171no—
1008C4×D8—171no—
1009#435—171no—
1010#435—171no—
1011#435—171no—
1012#435—171no—
1013C8×D4—171no—
1014C8×D4—171no—
1015#433—171no—
1016#433—171no—
1017#432—171no—
1018#428—171no—
1019#428—171no—
1020#427—171no—
1021C2×#106—171no—
1022C2×#106—171no—
1023C2×#106—171no—
1024#424—171no—
1025#424—171no—
1026C2×C4⋊C8—171no—
1027#418—171no—
1028#417—171no—
1029#416—171no—
1030C2×#102—171no—
1031C2×#102—171no—
1032C2×#102—171no—
1033C2×C17—22no—
1034C2×C17—41no—
1035C2×C17—41no—
1036C2×C17—81no—
1037C2×C17#348911yescharacteristic
1038C2×C17C2×#57711yescharacteristic
1039C2×C17#358511yescharacteristic
1040D17—42no—
1041D17—81no—
1042D17—81no—
1043C2×#41—21no—
1044C2×#41—171no—
1045C2×#41—341no—
1046C22×Q8—21no—
1047C22×Q8—21no—
1048C22×D4—171no—
1049C22×D4—171no—
1050C22×D4—341no—
1051C23×C4—341no—
1052C2×Q16—171no—
1053C2×SD16—171no—
1054C2×SD16—171no—
1055C2×SD16—171no—
1056C2×SD16—171no—
1057C2×D8—171no—
1058C2×D8—171no—
1059C2×D8—171no—
1060C2×M16—171no—
1061C2×M16—171no—
1062C22×C8—171no—
1063C22×C8—171no—
1064C22×C8—171no—
1065C22×C8—171no—
1066C4⋊Q8—21no—
1067C4⋊Q8—21no—
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8—21no—
1071C4⋊Q8—171no—
1072C4⋊Q8C22×D1711yescharacteristic
1073C4⋊Q8C22×D1711yescharacteristic
1074C4⋊Q8C22×D1711yescharacteristic
1075C4⋊Q8C22×D1711yescharacteristic
1076C4⋊Q8C22×D1711yescharacteristic
1077C4⋊Q8C22×D1711yescharacteristic
1078#127—171no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—341no—
1087#126—341no—
1088#126—341no—
1089#126—341no—
1090#126C22⋊D1711yescharacteristic
1091#126C22⋊D1711yescharacteristic
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—171no—
1099#125—171no—
1100#125—341no—
1101#125C22⋊D1711yescharacteristic
1102#125C22×D1711yescharacteristic
1103#125C22×D1711yescharacteristic
1104#125C22×D1711yescharacteristic
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—171no—
1109#124—171no—
1110#124—341no—
1111#124—341no—
1112#124C22⋊D1711yescharacteristic
1113#124C22×D1711yescharacteristic
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—341no—
1122#123—341no—
1123#123—341no—
1124#123—341no—
1125#123—341no—
1126#123—341no—
1127#123—341no—
1128#123—341no—
1129#123—341no—
1130#123—341no—
1131#123—341no—
1132#123—341no—
1133#123C22⋊D1711yescharacteristic
1134#123C22⋊D1711yescharacteristic
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—171no—
1150C22⋊Q8—171no—
1151C22⋊Q8—341no—
1152C22⋊Q8—341no—
1153C22⋊Q8—341no—
1154C22⋊Q8—341no—
1155C22⋊Q8—341no—
1156C22⋊Q8C22⋊D1711yescharacteristic
1157C22⋊Q8C22×D1711yescharacteristic
1158C22⋊Q8C22×D1711yescharacteristic
1159C22⋊Q8C22×D1711yescharacteristic
1160#121—21no—
1161#121—21no—
1162#121—171no—
1163#121—171no—
1164#121—171no—
1165#121—171no—
1166#121—341no—
1167#121—341no—
1168#121—341no—
1169#121—341no—
1170#121—341no—
1171#121—341no—
1172#121C22⋊D1711yescharacteristic
1173#121C22×D1711yescharacteristic
1174#121C22×D1711yescharacteristic
1175#121C22×D1711yescharacteristic
1176#120—341no—
1177#120—341no—
1178#120—341no—
1179#120—341no—
1180C4×Q8—21no—
1181C4×Q8—21no—
1182C4×Q8—171no—
1183C4×Q8—171no—
1184C4×Q8C22×D1711yescharacteristic
1185C4×Q8C22×D1711yescharacteristic
1186C4×Q8C22×D1711yescharacteristic
1187C4×Q8C22×D1711yescharacteristic
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—171no—
1194C4×D4—171no—
1195C4×D4—171no—
1196C4×D4—171no—
1197C4×D4—171no—
1198C4×D4—171no—
1199C4×D4—171no—
1200C4×D4—171no—
1201C4×D4—341no—
1202C4×D4—341no—
1203C4×D4—341no—
1204C4×D4—341no—
1205C4×D4—341no—
1206C4×D4—341no—
1207C4×D4—341no—
1208C4×D4—341no—
1209C4×D4—341no—
1210C4×D4C22×D1711yescharacteristic
1211C4×D4C22×D1711yescharacteristic
1212C4×D4C22×D1711yescharacteristic
1213C4×D4C22×D1711yescharacteristic
1214C4×D4C22×D1711yescharacteristic
1215C4×D4C22×D1711yescharacteristic
1216#117—21no—
1217#117—171no—
1218#117—341no—
1219#117—341no—
1220#117—341no—
1221#117C22×D1711yescharacteristic
1222#117C22×D1711yescharacteristic
1223#117C22×D1711yescharacteristic
1224#117C22×D1711yescharacteristic
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—171no—
1227C2×C4⋊C4—171no—
1228C2×C4⋊C4—341no—
1229C2×C4⋊C4—341no—
1230C2×C4⋊C4C22×D1711yescharacteristic
1231C2×C4⋊C4C22×D1711yescharacteristic
1232C2×C4⋊C4C22×D1711yescharacteristic
1233C2×C4⋊C4C22×D1711yescharacteristic
1234C2×C22⋊C4—341no—
1235C2×C22⋊C4—341no—
1236C2×C22⋊C4—341no—
1237C2×C22⋊C4—341no—
1238C2×C22⋊C4—341no—
1239C2×C42C22×D1711yescharacteristic
1240#107—171no—
1241#107—171no—
1242#107—171no—
1243#107—171no—
1244#107—171no—
1245#107—171no—
1246#107—171no—
1247#107—171no—
1248#106—171no—
1249#106—171no—
1250#106—171no—
1251#106—171no—
1252#106—171no—
1253#106—171no—
1254#106—171no—
1255#106—171no—
1256#106—171no—
1257#106—171no—
1258#106—171no—
1259#106—171no—
1260#106—171no—
1261#106—171no—
1262#106—171no—
1263#106—171no—
1264C4⋊C8—171no—
1265C4⋊C8—171no—
1266C4⋊C8—171no—
1267C4⋊C8—171no—
1268C4⋊C8—171no—
1269C4⋊C8—171no—
1270C4⋊C8—171no—
1271C4⋊C8—171no—
1272C4⋊C8—171no—
1273C4⋊C8—171no—
1274#103—171no—
1275#103—171no—
1276#103—171no—
1277#103—171no—
1278#103—171no—
1279#103—171no—
1280#103—171no—
1281#103—171no—
1282#103—171no—
1283#103—171no—
1284#102—171no—
1285#102—171no—
1286#102—171no—
1287#102—171no—
1288#102—171no—
1289#102—171no—
1290#102—171no—
1291#102—171no—
1292#102—171no—
1293#102—171no—
1294#102—171no—
1295#102—171no—
1296#102—171no—
1297#102—171no—
1298#102—171no—
1299#102—171no—
1300#102—171no—
1301#102—171no—
1302#102—171no—
1303#102—171no—
1304#102—171no—
1305#102—171no—
1306C22⋊C8—171no—
1307C22⋊C8—171no—
1308C22⋊C8—171no—
1309C22⋊C8—171no—
1310C22⋊C8—171no—
1311C22⋊C8—171no—
1312#97—171no—
1313#97—171no—
1314#97—171no—
1315#97—171no—
1316C4×C8—171no—
1317C4×C8—171no—
1318C17#6215611yescharacteristic, complemented, Sylow
1319C24—341no—
1320C24—341no—
1321#41—82no—
1322#41—342no—
1323#41—681no—
1324#41—1362no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—82no—
1332C2×Q8—82no—
1333C2×Q8—171no—
1334C2×Q8—341no—
1335C2×Q8C2×C22⋊D1711yescharacteristic
1336C2×Q8C23×D1711yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—171no—
1341C2×D4—171no—
1342C2×D4—171no—
1343C2×D4—342no—
1344C2×D4—342no—
1345C2×D4—341no—
1346C2×D4—341no—
1347C2×D4—341no—
1348C2×D4—341no—
1349C2×D4—341no—
1350C2×D4—341no—
1351C2×D4—341no—
1352C2×D4—341no—
1353C2×D4—341no—
1354C2×D4—681no—
1355C2×D4—681no—
1356C2×D4—1362no—
1357C2×D4C2×C22⋊D1711yescharacteristic
1358C2×D4C2×C22⋊D1711yescharacteristic
1359C2×D4C2×C22⋊D1711yescharacteristic
1360C2×D4C23×D1711yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—341no—
1369C22×C4—341no—
1370C22×C4—341no—
1371C22×C4—341no—
1372C22×C4—341no—
1373C22×C4—341no—
1374C22×C4—341no—
1375C22×C4—341no—
1376C22×C4—341no—
1377C22×C4—341no—
1378C22×C4—341no—
1379C22×C4—1362no—
1380C22×C4C2×C22⋊D1711yescharacteristic
1381C22×C4C2×C22⋊D1711yescharacteristic
1382C22×C4C23×D1711yescharacteristic
1383C22×C4C23×D1711yescharacteristic
1384C22×C4C23×D1711yescharacteristic
1385Q16—681no—
1386SD16—342no—
1387SD16—681no—
1388SD16—681no—
1389SD16—681no—
1390D8—342no—
1391D8—681no—
1392D8—681no—
1393M16—681no—
1394M16—681no—
1395C2×C8—171no—
1396C2×C8—171no—
1397C2×C8—171no—
1398C2×C8—171no—
1399C2×C8—171no—
1400C2×C8—171no—
1401C2×C8—171no—
1402C2×C8—171no—
1403C2×C8—681no—
1404C2×C8—681no—
1405C2×C8—681no—
1406C2×C8—681no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—171no—
1430C4⋊C4—171no—
1431C4⋊C4—171no—
1432C4⋊C4—171no—
1433C4⋊C4—341no—
1434C4⋊C4—341no—
1435C4⋊C4—341no—
1436C4⋊C4—341no—
1437C4⋊C4—341no—
1438C4⋊C4—341no—
1439C4⋊C4—341no—
1440C4⋊C4—341no—
1441C4⋊C4—341no—
1442C4⋊C4—341no—
1443C4⋊C4—341no—
1444C4⋊C4C2×C22⋊D1711yescharacteristic
1445C4⋊C4C2×C22⋊D1711yescharacteristic
1446C4⋊C4C2×C22⋊D1711yescharacteristic
1447C4⋊C4C2×C22⋊D1711yescharacteristic
1448C4⋊C4C2×C22⋊D1711yescharacteristic
1449C4⋊C4C2×C22⋊D1711yescharacteristic
1450C4⋊C4C2×C22⋊D1711yescharacteristic
1451C4⋊C4C2×C22⋊D1711yescharacteristic
1452C4⋊C4C2×C22⋊D1711yescharacteristic
1453C4⋊C4C2×C22⋊D1711yescharacteristic
1454C4⋊C4C23×D1711yescharacteristic
1455C4⋊C4C23×D1711yescharacteristic
1456C4⋊C4C23×D1711yescharacteristic
1457C4⋊C4C23×D1711yescharacteristic
1458C4⋊C4C23×D1711yescharacteristic
1459C4⋊C4C23×D1711yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—341no—
1474C22⋊C4—341no—
1475C22⋊C4—341no—
1476C22⋊C4—341no—
1477C22⋊C4—341no—
1478C22⋊C4—341no—
1479C22⋊C4—341no—
1480C22⋊C4—341no—
1481C22⋊C4—341no—
1482C22⋊C4—341no—
1483C22⋊C4—341no—
1484C22⋊C4—341no—
1485C22⋊C4—341no—
1486C22⋊C4—341no—
1487C22⋊C4—341no—
1488C22⋊C4—341no—
1489C22⋊C4—341no—
1490C22⋊C4—341no—
1491C22⋊C4—341no—
1492C22⋊C4C2×C22⋊D1711yescharacteristic
1493C22⋊C4C2×C22⋊D1711yescharacteristic
1494C22⋊C4C2×C22⋊D1711yescharacteristic
1495C22⋊C4C2×C22⋊D1711yescharacteristic
1496C22⋊C4C2×C22⋊D1711yescharacteristic
1497C22⋊C4C2×C22⋊D1711yescharacteristic
1498C22⋊C4C2×C22⋊D1711yescharacteristic
1499C22⋊C4C2×C22⋊D1711yescharacteristic
1500C22⋊C4C2×C22⋊D1711yescharacteristic
1501C22⋊C4C2×C22⋊D1711yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—341no—
1508C42—341no—
1509C42—341no—
1510C42C2×C22⋊D1711yescharacteristic
1511C42C2×C22⋊D1711yescharacteristic
1512C42C23×D1711yescharacteristic
1513C42C23×D1711yescharacteristic
1514C42C23×D1711yescharacteristic
1515C42C23×D1711yescharacteristic
1516C23—21no—
1517C23—341no—
1518C23—341no—
1519C23—341no—
1520C23—682no—
1521C23—682no—
1522C23—682no—
1523C23—1361no—
1524C23—1361no—
1525C23—1361no—
1526C23C22×C22⋊D1711yescharacteristic
1527C23C22×C22⋊D1711yescharacteristic
1528C23C22×C22⋊D1711yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—42no—
1533Q8—42no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—341no—
1539Q8—341no—
1540Q8—1361no—
1541D4—22no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—41no—
1546D4—42no—
1547D4—81no—
1548D4—81no—
1549D4—172no—
1550D4—341no—
1551D4—341no—
1552D4—341no—
1553D4—341no—
1554D4—341no—
1555D4—682no—
1556D4—682no—
1557D4—682no—
1558D4—682no—
1559D4—1361no—
1560D4—1361no—
1561D4—1361no—
1562D4—1361no—
1563D4—1361no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—41no—
1579C2×C4—42no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—682no—
1592C2×C4—682no—
1593C2×C4—1361no—
1594C2×C4—1361no—
1595C2×C4—1361no—
1596C2×C4—1361no—
1597C2×C4—1361no—
1598C2×C4—1361no—
1599C2×C4—1361no—
1600C2×C4—1361no—
1601C2×C4—1361no—
1602C2×C4C22×C22⋊D1711yescharacteristic
1603C2×C4C22×C22⋊D1711yescharacteristic
1604C2×C4C22×C22⋊D1711yescharacteristic
1605C2×C4C22×C22⋊D1711yescharacteristic
1606C2×C4C22×C22⋊D1711yescharacteristic
1607C2×C4C22×C22⋊D1711yescharacteristic
1608C2×C4C22×C22⋊D1711yescharacteristic
1609C2×C4C22×C22⋊D1711yescharacteristic
1610C2×C4C22×C22⋊D1711yescharacteristic
1611C2×C4C22×C22⋊D1711yescharacteristic
1612C2×C4C22×C22⋊D1711yescharacteristic
1613C2×C4C24×D1711yescharacteristic
1614C8—341no—
1615C8—341no—
1616C8—341no—
1617C8—341no—
1618C8—341no—
1619C8—341no—
1620C8—341no—
1621C8—341no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—2722no—
1634C22—342no—
1635C22—681no—
1636C22—681no—
1637C22—681no—
1638C22—681no—
1639C22—681no—
1640C22—681no—
1641C22—681no—
1642C22—681no—
1643C22—1364no—
1644C22#1176361712yes—
1645C22C23×C22⋊D1711yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—681no—
1665C4—681no—
1666C4—681no—
1667C4—681no—
1668C4—681no—
1669C42−1+4×D1711yescharacteristic
1670C4#1176364611yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—41no—
1674C2—81no—
1675C2—682no—
1676C2—1361no—
1677C2—1361no—
1678C2#1454245711yescharacteristic
1679C2C2×#1176361711yescharacteristic
1680C2#1454356411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3552C2
socleC22×C17C23×D4
hypercenter#3552D17
hypocenterC17#62156
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ #529 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #14542728C2semidirect
2. #14541723C2semidirect
3. #14541679C2semidirect
4. #14541576C2semidirect
5. #14541552C2semidirect
6. #14541329C2semidirect
7. #14541254C2semidirect
8. #14541248C2semidirect
9. #14541233C2semidirect
10. #14541157C2semidirect
11. #14541135C2semidirect
12. #14540919C2semidirect
13. #14540859C2semidirect
14. #14540814C2semidirect
15. #14540739C2semidirect
16. #14540628C2semidirect
17. #14540602C2semidirect
18. #14540249C2semidirect
19. #14540195C2semidirect
20. #14540131C2semidirect
21. #14540082C2semidirect
22. #14540037C2semidirect
23. #14540014C2semidirect
24. #14539055C2semidirect
25. #14538962C2semidirect
26. #14538918C2semidirect
27. #14538642C2semidirect
28. #14538609C2semidirect
29. C2×#11763096C2semidirect
30. #14537923C2semidirect
31. C17×#3552C2semidirect
54. #11763219C22semidirect
55. #11763215C22semidirect
56. #11763215C22semidirect
57. #11763215C22semidirect
58. #11763208C22semidirect
59. #11763205C22semidirect
61. #11763171C22semidirect
62. #11763171C22semidirect
63. #11763171C22semidirect
64. #11763166C22semidirect
66. #11763150C22semidirect
67. #11763147C22semidirect
68. #11763144C22semidirect
69. #11763144C22semidirect
70. #11763139C22semidirect
71. #11763137C22semidirect
72. #11763137C22semidirect
74. #11763133C22semidirect
75. #11763133C22semidirect
76. #11763130C22semidirect
80. #11763127C22semidirect
81. #11763125C22semidirect
82. #11763122C22semidirect
83. #11763120C22semidirect
84. #11763116C22semidirect
85. #11763116C22semidirect
86. #11763113C22semidirect
87. #11763113C22semidirect
88. #11763109C22semidirect
89. #11763109C22semidirect
93. #11763106C22semidirect
94. #11763106C22semidirect
95. #11763106C22semidirect
96. #11763099C22semidirect
102. #11763096C22semidirect
103. #11763096C22semidirect
104. #11763096C22semidirect
105. #11763096C22semidirect
106. #11763096C22semidirect
107. #11763094C22semidirect
108. #11763091C22semidirect
109. #11763091C22semidirect
110. #11763091C22semidirect
112. #11763086C22semidirect
113. #11763086C22semidirect
114. #11763065C22semidirect
116. #11763060C22semidirect
117. #11763057C22semidirect
118. #11763048C22semidirect
120. #11763043C22semidirect
123. #11763040C22semidirect
124. #11763036C22semidirect
125. #11763036C22semidirect
126. #11763031C22semidirect
127. #11763031C22semidirect
128. #11763028C22semidirect
129. #11763024C22semidirect
130. #11763024C22semidirect
132. #11763021C22semidirect
133. #11763021C22semidirect
142. #11762940C22semidirect
143. #11762940C22semidirect
146. #11762919C22semidirect
147. #11762919C22semidirect
148. #11762914C22semidirect
151. #11762907C22semidirect
153. C4×#63230C22semidirect
154. C4×#63229C22semidirect
157. #11762881C22semidirect
158. #11762881C22semidirect
159. #11762881C22semidirect
161. D4×#3622C22semidirect
162. #11762870C22semidirect
163. #11762870C22semidirect
164. #11762866C22semidirect
165. #11762852C22semidirect
166. #11762849C22semidirect
167. #11762845C22semidirect
168. C2×#10587479C22semidirect
169. C2×#10587479C22semidirect
170. C2×#10587479C22semidirect
171. #11762836C22semidirect
172. #11762836C22semidirect
173. C2×C4⋊#3622C22semidirect
182. C17×#557C22semidirect
183. C17×#556C22semidirect
185. C17×#554C22semidirect
187. C17×#553C22semidirect
189. D4×Q8×C17C22semidirect
191. C17×#547C22semidirect
192. C17×#544C22semidirect
193. C17×#544C22semidirect
194. C17×#542C22semidirect
195. C17×#542C22semidirect
200. C2×C17×C4⋊Q8C22semidirect
202. C17×#529C22semidirect
782. #3552D17semidirect
865. #557C2×D17semidirect
866. #556C2×D17semidirect
869. #554C2×D17semidirect
873. #553C2×D17semidirect
878. D4×Q8C2×D17semidirect
881. #547C2×D17semidirect
886. #544C2×D17semidirect
887. #544C2×D17semidirect
889. #542C2×D17semidirect
890. #542C2×D17semidirect
898. C2×C4⋊Q8C2×D17semidirect
901. #529C2×D17semidirect
1318. C17#62156semidirect

Maximal subgroups

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

subgroupindex
#145427282
#145417232
#145416792
#145415762
#145415522
#145413292
#145412542
#145412482
#145412332
#145411572
#145411352
#145409192
#145408592
#145408142
#145407392
#145406282
#145406022
#145402492
#145401952
#145401312
#145400822
#145400372
#145400142
#145390552
#145389622
#145389182
#145386422
#145386092
C2×#117630962
#145379232
C17×#35522
#6215617