Finite Group Databasebeta

← #17927583

Subgroups — #17927583

Order 4352.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542728C211yesmaximal, characteristic, complemented
2#14541868C211yesmaximal, characteristic, complemented
3#14541826C211yesmaximal, characteristic, complemented
4#14541531C211yesmaximal, characteristic, complemented
5#14541487C211yesmaximal, characteristic, complemented
6#14540925C211yesmaximal, characteristic, complemented
7#14540805C211yesmaximal, characteristic, complemented
8#14540790C211yesmaximal, characteristic, complemented
9#14540745C211yesmaximal, characteristic, complemented
10#14540619C211yesmaximal, characteristic, complemented
11#14540597C211yesmaximal, characteristic, complemented
12#14540465C211yesmaximal, characteristic, complemented
13D4×#63228C211yesmaximal, characteristic, complemented
14#14540325C211yesmaximal, characteristic, complemented
15#14540265C211yesmaximal, characteristic, complemented
16#14540260C211yesmaximal, characteristic, complemented
17#14540260C211yesmaximal, characteristic, complemented
18#14540219C211yesmaximal, characteristic, complemented
19#14540189C211yesmaximal, characteristic, complemented
20#14540131C211yesmaximal, characteristic, complemented
21#14539878C211yesmaximal, characteristic, complemented
22#14539834C211yesmaximal, characteristic, complemented
23#14539802C211yesmaximal, characteristic, complemented
24#14539022C211yesmaximal, characteristic, complemented
25#14538977C211yesmaximal, characteristic, complemented
26#14538918C211yesmaximal, characteristic, complemented
27#14538319C211yesmaximal, characteristic, complemented
28#14538283C211yesmaximal, characteristic, complemented
29C2×#11763001C211yesmaximal, characteristic, complemented
30#14537923C211yesmaximal, characteristic, complemented
31C17×#3543C211yesmaximal, characteristic, complemented
32C2×#10587618C2211yescharacteristic, complemented
33C2×#10587635C2211yescharacteristic, complemented
34C2×#10587636C2211yescharacteristic, complemented
35C22×#63228C2211yescharacteristic, complemented
36C22×#63228C2211yescharacteristic, complemented
37C22×#63228C2211yescharacteristic, complemented
38#11763544C2211yescharacteristic, complemented
39#11763519C2211yescharacteristic, complemented
40#11763510—21no—
41#11763505C2211yescharacteristic, complemented
42#11763499C2211yescharacteristic, complemented
43#11763486—21no—
44#11763484—21no—
45#11763463C2211yescharacteristic, complemented
46#11763455C2211yescharacteristic, complemented
47#11763455C2211yescharacteristic, complemented
48#11763448—21no—
49D4×D68C2211yescharacteristic, complemented
50#11763430C2211yescharacteristic, complemented
51#11763414C2211yescharacteristic, complemented
52#11763407—21no—
53#11763393—21no—
54#11763343C2211yescharacteristic, complemented
55#11763317—21no—
56#123×D17—21no—
57#11763289C2211yescharacteristic, complemented
58#11763283C2211yescharacteristic, complemented
59C2×C4×D68C2211yescharacteristic, complemented
60#11763199C2211yescharacteristic, complemented
61#11763196C2211yescharacteristic, complemented
62#11763196C2211yescharacteristic, complemented
63#11763196C2211yescharacteristic, complemented
64#11763191C2211yescharacteristic, complemented
65#11763185C2211yescharacteristic, complemented
66#11763173C2211yescharacteristic, complemented
67#11763173C2211yescharacteristic, complemented
68#11763173C2211yescharacteristic, complemented
69#11763168C2211yescharacteristic, complemented
70#11763163C2211yescharacteristic, complemented
71#11763155C2211yescharacteristic, complemented
72#11763137C2211yescharacteristic, complemented
73#11763130C2211yescharacteristic, complemented
74#11763130C2211yescharacteristic, complemented
75#11763125C2211yescharacteristic, complemented
76#11763120C2211yescharacteristic, complemented
77#11763120C2211yescharacteristic, complemented
78#11763116C2211yescharacteristic, complemented
79#11763113C2211yescharacteristic, complemented
80#11763109C2211yescharacteristic, complemented
81#11763109C2211yescharacteristic, complemented
82#11763109C2211yescharacteristic, complemented
83#11763106C2211yescharacteristic, complemented
84#11763106C2211yescharacteristic, complemented
85#11763106C2211yescharacteristic, complemented
86#11763099C2211yescharacteristic, complemented
87#11763089C2211yescharacteristic, complemented
88#11763060C2211yescharacteristic, complemented
89#11763060C2211yescharacteristic, complemented
90#11763060C2211yescharacteristic, complemented
91#11763053C2211yescharacteristic, complemented
92#11763048C2211yescharacteristic, complemented
93#11763043C2211yescharacteristic
94#11763043C2211yescharacteristic, complemented
95#11763043C2211yescharacteristic, complemented
96#11763043C2211yescharacteristic, complemented
97#11763040C2211yescharacteristic, complemented
98#11763036C2211yescharacteristic, complemented
99#11763036C2211yescharacteristic, complemented
100#11763031C2211yescharacteristic, complemented
101#11763028C2211yescharacteristic, complemented
102#11763028C2211yescharacteristic, complemented
103#11763024C2211yescharacteristic, complemented
104#11763024C2211yescharacteristic, complemented
105#11763024C2211yescharacteristic, complemented
106#11763021C2211yescharacteristic, complemented
107#11763021C2211yescharacteristic, complemented
108#11763021C2211yescharacteristic, complemented
109#11763021C2211yescharacteristic, complemented
110#11763021C2211yescharacteristic, complemented
111#11763021C2211yescharacteristic, complemented
112#11763006C2211yescharacteristic, complemented
113#11763006C2211yescharacteristic, complemented
114#11763006C2211yescharacteristic, complemented
115#11763004C2211yescharacteristic, complemented
116#11763004C2211yescharacteristic, complemented
117#11763001C2211yescharacteristic
118#11763001C2211yescharacteristic, complemented
119#11763001C2211yescharacteristic, complemented
120#11763001C2211yescharacteristic, complemented
121#11763001C2211yescharacteristic, complemented
122#11763001C2211yescharacteristic, complemented
123#11763001C2211yescharacteristic, complemented
124#11763001C2211yescharacteristic, complemented
125#11763001C2211yescharacteristic, complemented
126#11763001C2211yescharacteristic, complemented
127#11763001C2211yescharacteristic, complemented
128#11763001C2211yescharacteristic, complemented
129#11763001C2211yescharacteristic, complemented
130#11762971C2211yescharacteristic, complemented
131#11762960C2211yescharacteristic, complemented
132#11762960C2211yescharacteristic, complemented
133#11762960C2211yescharacteristic, complemented
134#11762959C2211yescharacteristic, complemented
135#11762954C2211yescharacteristic, complemented
136#11762954C2211yescharacteristic, complemented
137#11762954C2211yescharacteristic, complemented
138#11762952C2211yescharacteristic, complemented
139#11762952C2211yescharacteristic, complemented
140#11762943C2211yescharacteristic, complemented
141#11762943C2211yescharacteristic, complemented
142#11762943C2211yescharacteristic, complemented
143#11762943C2211yescharacteristic, complemented
144#11762943C2211yescharacteristic, complemented
145#11762942C2211yescharacteristic
146#11762942C2211yescharacteristic, complemented
147#11762942C2211yescharacteristic, complemented
148#11762940C2211yescharacteristic, complemented
149#11762940C2211yescharacteristic, complemented
150#11762919C2211yescharacteristic, complemented
151#11762919C2211yescharacteristic, complemented
152#11762919C2211yescharacteristic, complemented
153#11762919C2211yescharacteristic, complemented
154#11762919C2211yescharacteristic, complemented
155#11762909C2211yescharacteristic, complemented
156#11762907C2211yescharacteristic, complemented
157#11762907C2211yescharacteristic, complemented
158C4×#63229C2211yescharacteristic, complemented
159C4×#63228C2211yescharacteristic, complemented
160C4×#63228C2211yescharacteristic, complemented
161C4×#63228C2211yescharacteristic, complemented
162#11762881C2211yescharacteristic, complemented
163#11762881C2211yescharacteristic, complemented
164#11762881C2211yescharacteristic, complemented
165#11762881C2211yescharacteristic, complemented
166D4×#3622C2211yescharacteristic, complemented
167D4×#3622C2211yescharacteristic, complemented
168#11762870C2211yescharacteristic, complemented
169#11762870C2211yescharacteristic, complemented
170#11762866C2211yescharacteristic, complemented
171#11762836C2211yescharacteristic, complemented
172#11762836C2211yescharacteristic, complemented
173C2×C4⋊#3622C2211yescharacteristic, complemented
174#11762814C2211yescharacteristic, complemented
175#11762810C2211yescharacteristic, complemented
176#11762805C2211yescharacteristic, complemented
177C2×#10587503C2211yescharacteristic, complemented
178C2×#10587503C2211yescharacteristic, complemented
179C2×#10587503C2211yescharacteristic, complemented
180C17×#560—21no—
181C17×#560—21no—
182C17×#559C2211yescharacteristic, complemented
183C17×#550C2211yescharacteristic, complemented
184C17×#550C2211yescharacteristic, complemented
185C17×#546—21no—
186C17×#546C2211yescharacteristic
187C17×#546C2211yescharacteristic, complemented
188D42×C17—21no—
189D42×C17C2211yescharacteristic
190D42×C17C2211yescharacteristic, complemented
191D42×C17C2211yescharacteristic, complemented
192C17×#540—21no—
193C17×#540C2211yescharacteristic, complemented
194C17×#540C2211yescharacteristic, complemented
195C17×#535—21no—
196C17×#535C2211yescharacteristic, complemented
197C17×#535C2211yescharacteristic, complemented
198C17×#534—21no—
199C17×#534—21no—
200C2×C17×#127C2211yescharacteristic, complemented
201C17×#529C2211yescharacteristic
202C17×#529C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17C2311yescharacteristic
205C2×#41×C17C2311yescharacteristic
206C22×D4×C17—21no—
207C22×D4×C17—21no—
208C22×D4×C17—21no—
209C22×D4×C17—21no—
210C22×D4×C17—21no—
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C22×D4×C17C2311yescharacteristic
214C22×D4×C17C2311yescharacteristic
215C2×#63254—21no—
216C2×D4×D17—21no—
217C2×#63252C2311yescharacteristic
218C22×D68C2311yescharacteristic
219C22×D68C2311yescharacteristic
220C22×C4×D17—21no—
221C17×#127—21no—
222C17×#127—21no—
223C17×#127—21no—
224C17×#127C2311yescharacteristic
225C17×#127C2311yescharacteristic
226C17×#127C2311yescharacteristic
227C17×#127C2311yescharacteristic
228C17×#127C2311yescharacteristic
229C17×#127C2311yescharacteristic
230C17×#126—21no—
231C17×#126D411yescharacteristic
232C17×#126D411yescharacteristic
233C17×#125D411yescharacteristic
234C17×#125C2311yescharacteristic
235C17×#124—21no—
236C17×#124D411yescharacteristic
237C17×#124C2311yescharacteristic
238C17×#124C2311yescharacteristic
239C17×#124C2311yescharacteristic
240C17×#123—21no—
241C17×#123—21no—
242C17×#123—21no—
243C17×#123—21no—
244C17×#123—21no—
245C17×#123—21no—
246C17×#123—21no—
247C17×#123—21no—
248C17×#123—21no—
249C17×#123D411yescharacteristic
250C17×#123D411yescharacteristic
251C17×C22⋊Q8D411yescharacteristic
252C17×C22⋊Q8C2311yescharacteristic
253C17×#121—21no—
254C17×#121—21no—
255C17×#121—21no—
256C17×#121—21no—
257C17×#121—21no—
258C17×#121—21no—
259C17×#121—21no—
260C17×#121—21no—
261C17×#121—21no—
262C17×#121—21no—
263C17×#121—21no—
264C17×#121—21no—
265C17×#121—21no—
266C17×#121—21no—
267C17×#121—21no—
268C17×#121—21no—
269C17×#121—21no—
270C17×#121—21no—
271C17×#121D411yescharacteristic
272C17×#121C2311yescharacteristic
273C17×#121C2311yescharacteristic
274C17×#121C2311yescharacteristic
275C17×#121C2311yescharacteristic
276C17×#121C2311yescharacteristic
277C17×#120—21no—
278C17×#120—21no—
279C17×#120—21no—
280C17×#120—21no—
281C17×#120—21no—
282C17×#120—21no—
283C17×#120—21no—
284C17×#120—21no—
285C17×#120—21no—
286C17×#120—21no—
287C17×#120—21no—
288C17×#120—21no—
289C4×Q8×C17C2311yescharacteristic
290C4×Q8×C17C2311yescharacteristic
291C4×D4×C17—21no—
292C4×D4×C17—21no—
293C4×D4×C17—21no—
294C4×D4×C17C2311yescharacteristic
295C4×D4×C17C2311yescharacteristic
296C4×D4×C17C2311yescharacteristic
297C4×D4×C17C2311yescharacteristic
298C4×D4×C17C2311yescharacteristic
299C4×D4×C17C2311yescharacteristic
300C4×D4×C17C2311yescharacteristic
301C4×D4×C17C2311yescharacteristic
302C17×#117—21no—
303C17×#117C2311yescharacteristic
304C17×#117C2311yescharacteristic
305C2×C22⋊C4×C17—21no—
306C2×C22⋊C4×C17—21no—
307C2×C42×C17C2311yescharacteristic
308#10587636—42no—
309#10587635—42no—
310#10587633—21no—
311#10587632—21no—
312C2×#63231C2311yescharacteristic
313C2×#63230C2311yescharacteristic
314C2×#63230C2311yescharacteristic
315C2×#63230C2311yescharacteristic
316#10587625—21no—
317#10587623—21no—
318#10587623—21no—
319#10587621—21no—
320C2×#63229C2311yescharacteristic
321C2×#63229C2311yescharacteristic
322C2×#63229C2311yescharacteristic
323C2×#63229C2311yescharacteristic
324C2×#63229C2311yescharacteristic
325#10587618—42no—
326C2×#63228—42no—
327C2×#63228—42no—
328C2×#63228—42no—
329C2×#63228C2311yescharacteristic
330C2×#63228C2311yescharacteristic
331C2×#63228C2311yescharacteristic
332C2×#63228C2311yescharacteristic
333C2×#63228C2311yescharacteristic
334C2×#63228C2311yescharacteristic
335C2×#63228C2311yescharacteristic
336C2×#63228C2311yescharacteristic
337C2×#63228C2311yescharacteristic
338C2×#63228C2311yescharacteristic
339C2×#63228C2311yescharacteristic
340C2×#63228C2311yescharacteristic
341C2×#63228C2311yescharacteristic
342C2×#63228C2311yescharacteristic
343C2×#63228C2311yescharacteristic
344#10587616C2311yescharacteristic
345#10587616C2311yescharacteristic
346#10587616C2311yescharacteristic
347#10587616C2311yescharacteristic
348#10587615—21no—
349C4×C22⋊D17—21no—
350C2×#63227—21no—
351#10587612C2311yescharacteristic
352C2×C4⋊Dic17C2311yescharacteristic
353C2×C4⋊Dic17C2311yescharacteristic
354#10587610C2311yescharacteristic
355#10587610C2311yescharacteristic
356C2×#63223C2311yescharacteristic
357C2×#63223C2311yescharacteristic
358C22×#3622C2311yescharacteristic
359C22×#3622C2311yescharacteristic
360C22×#3622C2311yescharacteristic
361C22×#3622C2311yescharacteristic
362#10587584—21no—
363#10587584—21no—
364#10587583—21no—
365#10587582—21no—
366#10587582—21no—
367#10587582—21no—
368#10587581—21no—
369#10587580—21no—
370#10587580—21no—
371#10587580—21no—
372#10587580—21no—
373#10587580—21no—
374#10587580—21no—
375#10587579—21no—
376#10587579—21no—
377#10587579—21no—
378#10587578—21no—
379C4⋊C4×D17—21no—
380C4⋊C4×D17—21no—
381#10587575—21no—
382#10587572—21no—
383#10587572—21no—
384#10587571—21no—
385#10587570—21no—
386#10587570—21no—
387#10587570—21no—
388#10587570—21no—
389#10587569—21no—
390#10587569—21no—
391#10587568—21no—
392#10587568—21no—
393#10587567—21no—
394#10587567—21no—
395#10587567—21no—
396C22⋊C4×D17—21no—
397C22⋊C4×D17—21no—
398C22⋊C4×D17—21no—
399C22⋊C4×D17—21no—
400#10587565—21no—
401#10587563—21no—
402#10587562—21no—
403#10587561C2311yescharacteristic
404#10587561C2311yescharacteristic
405#10587560C2311yescharacteristic
406C4×D68—21no—
407C4×D68—21no—
408C4×D68C2311yescharacteristic
409C4×D68C2311yescharacteristic
410C4×D68C2311yescharacteristic
411C4×D68C2311yescharacteristic
412C4×D68C2311yescharacteristic
413C4×D68C2311yescharacteristic
414C4×D68C2311yescharacteristic
415C4×D68C2311yescharacteristic
416#10587558—21no—
417#10587556C2311yescharacteristic
418#10587556C2311yescharacteristic
419#10587555C2311yescharacteristic
420C4×Dic34C2311yescharacteristic
421C4×Dic34C2311yescharacteristic
422#10587506C2311yescharacteristic
423#10587506C2311yescharacteristic
424#10587506C2311yescharacteristic
425#10587506C2311yescharacteristic
426#10587503C2311yescharacteristic
427#10587503C2311yescharacteristic
428#10587503C2311yescharacteristic
429#10587503C2311yescharacteristic
430#10587503C2311yescharacteristic
431#10587503C2311yescharacteristic
432#10587503C2311yescharacteristic
433#10587503C2311yescharacteristic
434#10587503C2311yescharacteristic
435#10587503C2311yescharacteristic
436#10587503C2311yescharacteristic
437#10587503C2311yescharacteristic
438#10587503C2311yescharacteristic
439#10587503C2311yescharacteristic
440#10587503C2311yescharacteristic
441#10587503C2311yescharacteristic
442#10587503C2311yescharacteristic
443#10587503C2311yescharacteristic
444#10587503C2311yescharacteristic
445#10587503C2311yescharacteristic
446C22⋊#3622C2311yescharacteristic
447C22⋊#3622C2311yescharacteristic
448C22⋊#3622C2311yescharacteristic
449C22⋊#3622C2311yescharacteristic
450C22⋊#3622C2311yescharacteristic
451C22⋊#3622C2311yescharacteristic
452#10587481C2311yescharacteristic
453#10587481C2311yescharacteristic
454#10587480C2311yescharacteristic
455#10587480C2311yescharacteristic
456#10587480C2311yescharacteristic
457#10587480C2311yescharacteristic
458#10587480C2311yescharacteristic
459#10587480C2311yescharacteristic
460#10587479C2311yescharacteristic
461#10587479C2311yescharacteristic
462#10587479C2311yescharacteristic
463#10587479C2311yescharacteristic
464#10587478C2311yescharacteristic
465#10587478C2311yescharacteristic
466#10587478C2311yescharacteristic
467#10587478C2311yescharacteristic
468C4⋊#3622C2311yescharacteristic
469C4⋊#3622C2311yescharacteristic
470C4⋊#3622C2311yescharacteristic
471C4⋊#3622C2311yescharacteristic
472C4⋊#3622C2311yescharacteristic
473C4⋊#3622C2311yescharacteristic
474C4⋊#3622C2311yescharacteristic
475C4⋊#3622C2311yescharacteristic
476C4⋊#3622C2311yescharacteristic
477C4⋊#3622C2311yescharacteristic
478#10587474C2311yescharacteristic
479#10587474C2311yescharacteristic
480#10587474C2311yescharacteristic
481#10587474C2311yescharacteristic
482C4×#3622C2311yescharacteristic
483C4×#3622C2311yescharacteristic
484C24×C17—21no—
485C24×C17—21no—
486C24×C17—21no—
487C24×C17—21no—
488C23×D17—21no—
489C23×D17—21no—
490#41×C17—41no—
491#41×C17—41no—
492#41×C17—41no—
493#41×C17—41no—
494#41×C17—82no—
495C2×Q8×C17C2×D411yescharacteristic
496C2×Q8×C17C2411yescharacteristic
497C2×D4×C17—21no—
498C2×D4×C17—21no—
499C2×D4×C17—21no—
500C2×D4×C17—21no—
501C2×D4×C17—21no—
502C2×D4×C17—21no—
503C2×D4×C17—21no—
504C2×D4×C17—21no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—21no—
508C2×D4×C17—21no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—21no—
514C2×D4×C17—21no—
515C2×D4×C17—21no—
516C2×D4×C17—21no—
517C2×D4×C17—21no—
518C2×D4×C17—21no—
519C2×D4×C17—21no—
520C2×D4×C17—41no—
521C2×D4×C17—41no—
522C2×D4×C17—41no—
523C2×D4×C17—41no—
524C2×D4×C17—41no—
525C2×D4×C17—41no—
526C2×D4×C17—41no—
527C2×D4×C17—41no—
528C2×D4×C17—82no—
529C2×D4×C17—82no—
530C2×D4×C17—82no—
531C2×D4×C17—82no—
532C2×D4×C17—82no—
533C2×D4×C17C2×D411yescharacteristic
534C2×D4×C17C2×D411yescharacteristic
535C2×D4×C17C2×D411yescharacteristic
536C2×D4×C17C2411yescharacteristic
537C2×D4×C17C2411yescharacteristic
538C2×D4×C17C2411yescharacteristic
539C2×D4×C17C2411yescharacteristic
540C2×D4×C17C2411yescharacteristic
541C22×C4×C17—21no—
542C22×C4×C17—21no—
543C22×C4×C17—21no—
544C22×C4×C17—21no—
545C22×C4×C17—21no—
546C22×C4×C17—21no—
547C22×C4×C17—21no—
548C22×C4×C17C2×D411yescharacteristic
549C22×C4×C17C2×D411yescharacteristic
550C22×C4×C17C2411yescharacteristic
551C22×C4×C17C2411yescharacteristic
552C22×C4×C17C2411yescharacteristic
553C2×C22⋊D17—21no—
554C2×C22⋊D17—21no—
555C2×C22⋊D17—21no—
556C2×C22⋊D17—21no—
557C2×C22⋊D17—21no—
558C22×Dic17—21no—
559C22×Dic17—21no—
560#63254—82no—
561D4×D17—82no—
562#63252—22no—
563#63252—41no—
564C2×D68—22no—
565C2×D68—22no—
566C2×D68—21no—
567C2×D68—21no—
568C2×D68—21no—
569C2×D68—21no—
570C2×D68—41no—
571C2×D68—41no—
572C2×D68C2411yescharacteristic
573C2×D68C2411yescharacteristic
574C2×D68C2411yescharacteristic
575C2×C4×D17—21no—
576C2×C4×D17—21no—
577C2×C4×D17—21no—
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—82no—
585C2×Dic34—21no—
586C2×Dic34C2411yescharacteristic
587C4⋊C4×C17—21no—
588C4⋊C4×C17—21no—
589C4⋊C4×C17—21no—
590C4⋊C4×C17—21no—
591C4⋊C4×C17C2×D411yescharacteristic
592C4⋊C4×C17C2×D411yescharacteristic
593C4⋊C4×C17C2×D411yescharacteristic
594C4⋊C4×C17C2×D411yescharacteristic
595C4⋊C4×C17C2×D411yescharacteristic
596C4⋊C4×C17C2×D411yescharacteristic
597C4⋊C4×C17C2×D411yescharacteristic
598C4⋊C4×C17C2×D411yescharacteristic
599C4⋊C4×C17C2×D411yescharacteristic
600C4⋊C4×C17C2×D411yescharacteristic
601C4⋊C4×C17C2411yescharacteristic
602C4⋊C4×C17C2411yescharacteristic
603C22⋊C4×C17—21no—
604C22⋊C4×C17—21no—
605C22⋊C4×C17—21no—
606C22⋊C4×C17—21no—
607C22⋊C4×C17—21no—
608C22⋊C4×C17—21no—
609C22⋊C4×C17—21no—
610C22⋊C4×C17—21no—
611C22⋊C4×C17—21no—
612C22⋊C4×C17—21no—
613C22⋊C4×C17—21no—
614C22⋊C4×C17—21no—
615C22⋊C4×C17—21no—
616C22⋊C4×C17—21no—
617C22⋊C4×C17—21no—
618C22⋊C4×C17—21no—
619C22⋊C4×C17—21no—
620C22⋊C4×C17C2×D411yescharacteristic
621C22⋊C4×C17C2×D411yescharacteristic
622C22⋊C4×C17C2×D411yescharacteristic
623C22⋊C4×C17C2×D411yescharacteristic
624C22⋊C4×C17C2×D411yescharacteristic
625C22⋊C4×C17C2×D411yescharacteristic
626C22⋊C4×C17C2×D411yescharacteristic
627C22⋊C4×C17C2×D411yescharacteristic
628C22⋊C4×C17C2×D411yescharacteristic
629C22⋊C4×C17C2×D411yescharacteristic
630C42×C17—21no—
631C42×C17C2×D411yescharacteristic
632C42×C17C2×D411yescharacteristic
633C42×C17C2411yescharacteristic
634C42×C17C2411yescharacteristic
635C42×C17C2411yescharacteristic
636C42×C17C2411yescharacteristic
637C22⋊Dic17—21no—
638C22⋊Dic17—21no—
639C22⋊Dic17—21no—
640#63231—41no—
641#63230—22no—
642#63230—41no—
643#63230—41no—
644#63229—41no—
645#63229—41no—
646#63229—41no—
647#63229—41no—
648#63229—41no—
649#63228—22no—
650#63228—22no—
651#63228—22no—
652#63228—22no—
653#63228—22no—
654#63228—41no—
655#63228—41no—
656#63228—41no—
657#63228—41no—
658#63228—41no—
659#63228—41no—
660#63228—41no—
661#63228—41no—
662#63228—41no—
663#63228—41no—
664#63227—21no—
665#63227—21no—
666#63227—21no—
667#63227—21no—
668#63227—21no—
669#63227—21no—
670#63227—21no—
671#63227—21no—
672#63227—21no—
673#63227—21no—
674#63227—21no—
675#63227—21no—
676#63227—21no—
677#63227—21no—
678#63227—21no—
679#63227—21no—
680C4⋊Dic17—21no—
681C4⋊Dic17—21no—
682C4⋊Dic17—21no—
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#63225—21no—
695C4×Dic17—21no—
696C4×Dic17—21no—
697C4×Dic17—21no—
698#63223—41no—
699#63223—41no—
700C2×#3622—41no—
701C2×#3622—41no—
702C2×#3622—41no—
703C2×#3622—41no—
704C2×#3622C2411yescharacteristic
705C2×#3622C2411yescharacteristic
706C2×#3622C2411yescharacteristic
707C2×#3622C2411yescharacteristic
708C2×#3622C2411yescharacteristic
709C2×#3622C2411yescharacteristic
710C2×#3622C2411yescharacteristic
711C2×#3622C2411yescharacteristic
712#62007—171nomaximal, Sylow
713C23×C17—21no—
714C23×C17—21no—
715C23×C17—21no—
716C23×C17—21no—
717C23×C17—21no—
718C23×C17—42no—
719C23×C17—42no—
720C23×C17—81no—
721C23×C17—81no—
722C23×C17—81no—
723C23×C17—81no—
724C23×C17—81no—
725C23×C17—81no—
726C23×C17—81no—
727C23×C17—81no—
728C23×C17—81no—
729C23×C17—81no—
730C23×C17C22×D411yescharacteristic
731C23×C17C22×D411yescharacteristic
732C23×C17C22×D411yescharacteristic
733C22×D17—21no—
734C22×D17—21no—
735C22×D17—21no—
736C22×D17—42no—
737C22×D17—42no—
738C22×D17—42no—
739C22×D17—81no—
740C22×D17—81no—
741C22×D17—81no—
742Q8×C17—21no—
743Q8×C17—21no—
744Q8×C17—41no—
745D4×C17—22no—
746D4×C17—22no—
747D4×C17—21no—
748D4×C17—21no—
749D4×C17—21no—
750D4×C17—21no—
751D4×C17—21no—
752D4×C17—21no—
753D4×C17—21no—
754D4×C17—21no—
755D4×C17—21no—
756D4×C17—21no—
757D4×C17—41no—
758D4×C17—42no—
759D4×C17—42no—
760D4×C17—42no—
761D4×C17—81no—
762D4×C17—81no—
763D4×C17—81no—
764D4×C17—81no—
765D4×C17—81no—
766D4×C17—81no—
767D4×C17—81no—
768D4×C17—81no—
769D4×C17—81no—
770D4×C17—81no—
771D4×C17—81no—
772D4×C17—81no—
773D4×C17—81no—
774D4×C17—81no—
775D4×C17—81no—
776D4×C17—81no—
777D4×C17—81no—
778D4×C17—81no—
779D4×C17—81no—
780D4×C17—81no—
781C2×C4×C17—22no—
782C2×C4×C17—21no—
783C2×C4×C17—21no—
784C2×C4×C17—21no—
785C2×C4×C17—21no—
786C2×C4×C17—21no—
787C2×C4×C17—21no—
788C2×C4×C17—21no—
789C2×C4×C17—21no—
790C2×C4×C17—21no—
791C2×C4×C17—41no—
792C2×C4×C17—42no—
793C2×C4×C17—81no—
794C2×C4×C17—81no—
795C2×C4×C17—81no—
796C2×C4×C17—81no—
797C2×C4×C17—81no—
798C2×C4×C17—81no—
799C2×C4×C17C22×D411yescharacteristic
800C2×C4×C17C22×D411yescharacteristic
801C2×C4×C17C22×D411yescharacteristic
802C2×C4×C17C22×D411yescharacteristic
803C2×C4×C17C22×D411yescharacteristic
804C2×C4×C17C22×D411yescharacteristic
805C2×C4×C17C22×D411yescharacteristic
806C2×C4×C17C22×D411yescharacteristic
807C2×C4×C17C22×D411yescharacteristic
808C2×C4×C17C22×D411yescharacteristic
809C2×C4×C17C22×D411yescharacteristic
810C2×C4×C17C2511yescharacteristic
811C22⋊D17—42no—
812C22⋊D17—42no—
813C22⋊D17—81no—
814C22⋊D17—81no—
815C22⋊D17—81no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—42no—
822C2×Dic17—81no—
823D68—21no—
824D68—21no—
825D68—21no—
826D68—21no—
827D68—21no—
828D68—42no—
829D68—42no—
830D68—81no—
831D68—81no—
832D68H(5,𝔽2)12yes—
833C4×D17—42no—
834C4×D17—81no—
835C4×D17—81no—
836C4×D17—81no—
837C4×D17—81no—
838C4×D17—81no—
839C4×D17—81no—
840C4×D17—81no—
841C4×D17—81no—
842Dic34—21no—
843Dic34—21no—
844Dic34—81no—
845#3622—21no—
846#3622—21no—
847#3622—21no—
848#3622—21no—
849#3622—21no—
850#3622—21no—
851#3622—21no—
852#3622—21no—
853#3543D1711yescharacteristic, complemented
854#3513—171no—
855#3403—171no—
856#3399—171no—
857#3370—171no—
858#3366—171no—
859#3318—171no—
860#3310—171no—
861#3309—171no—
862#3306—171no—
863#3296—171no—
864#3294—171no—
865#3280—171no—
866D4×D8—171no—
867#3268—171no—
868#3264—171no—
869#3264—171no—
870#3264—171no—
871#3259—171no—
872#3257—171no—
873#3250—171no—
874#3224—171no—
875#3220—171no—
876#3217—171no—
877#3122—171no—
878#3119—171no—
879#3114—171no—
880#3045—171no—
881#3041—171no—
882C2×#459—171no—
883#2992—171no—
884C22×C17—21no—
885C22×C17—21no—
886C22×C17—21no—
887C22×C17—21no—
888C22×C17—21no—
889C22×C17—21no—
890C22×C17—21no—
891C22×C17—21no—
892C22×C17—41no—
893C22×C17—41no—
894C22×C17—41no—
895C22×C17—41no—
896C22×C17—41no—
897C22×C17—41no—
898C22×C17—41no—
899C22×C17—41no—
900C22×C17—41no—
901C22×C17—41no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17—41no—
907C22×C17—162no—
908C22×C17—162no—
909C22×C17—162no—
910C22×C17—162no—
911C22×C17#57612yes—
912C22×C17C23×D411yescharacteristic
913C2×D17—22no—
914C2×D17—41no—
915C2×D17—41no—
916C2×D17—41no—
917C2×D17—41no—
918C2×D17—41no—
919C2×D17—41no—
920C2×D17—41no—
921C2×D17—41no—
922C2×D17—84no—
923C2×D17—162no—
924C4×C17—21no—
925C4×C17—21no—
926C4×C17—21no—
927C4×C17—21no—
928C4×C17—21no—
929C4×C17—21no—
930C4×C17—21no—
931C4×C17—21no—
932C4×C17—21no—
933C4×C17—21no—
934C4×C17—21no—
935C4×C17—41no—
936C4×C17—41no—
937C4×C17—41no—
938C4×C17C2×H(5,𝔽2)11yescharacteristic
939C4×C17#58511yescharacteristic
940Dic17—41no—
941Dic17—41no—
942Dic17—41no—
943Dic17—41no—
944Dic17—41no—
945C2×AGL(1,ℤ/8)—171no—
946C2×AGL(1,ℤ/8)—171no—
947C2×#135—171no—
948C22×D8—171no—
949C22×D8—171no—
950C22×D8—171no—
951#560—21no—
952#560—21no—
953#559—171no—
954#559C2×D1711yescharacteristic, complemented
955#554—171no—
956#553—171no—
957#553—341no—
958#552—171no—
959#551—341no—
960#551—341no—
961#550C2×D1711yescharacteristic, complemented
962#550C2×D1711yescharacteristic, complemented
963#547—171no—
964#546—21no—
965#546—171no—
966#546—171no—
967#546—341no—
968#546C2×D1711yescharacteristic
969#546C2×D1711yescharacteristic, complemented
970D42—21no—
971D42—171no—
972D42C2×D1711yescharacteristic
973D42C2×D1711yescharacteristic, complemented
974D42C2×D1711yescharacteristic, complemented
975#542—171no—
976#540—21no—
977#540—171no—
978#540C2×D1711yescharacteristic, complemented
979#540C2×D1711yescharacteristic, complemented
980#539—341no—
981#538—341no—
982#535—21no—
983#535C2×D1711yescharacteristic, complemented
984#535C2×D1711yescharacteristic, complemented
985#534—21no—
986#534—21no—
987C2×#127C2×D1711yescharacteristic, complemented
988#529—171no—
989#529C2×D1711yescharacteristic
990#529C2×D1711yescharacteristic, complemented
991#525—341no—
992C2×#123—341no—
993#520—171no—
994#518—171no—
995C2×C4×D4—171no—
996#496—171no—
997#496—171no—
998#496—171no—
999#496—171no—
1000#495—171no—
1001#493—171no—
1002#490—171no—
1003#490—171no—
1004#490—171no—
1005#489—171no—
1006#488—171no—
1007#486—171no—
1008#483—171no—
1009#482—171no—
1010#482—171no—
1011#481—171no—
1012#480—171no—
1013#480—171no—
1014#479—171no—
1015#479—171no—
1016#478—171no—
1017#478—171no—
1018#478—171no—
1019#478—171no—
1020#478—171no—
1021#478—171no—
1022#476—171no—
1023#474—171no—
1024#469—171no—
1025#469—171no—
1026#469—171no—
1027#468—171no—
1028#467—171no—
1029#466—171no—
1030#466—171no—
1031#466—171no—
1032#466—171no—
1033#465—171no—
1034#465—171no—
1035#465—171no—
1036#464—171no—
1037#464—171no—
1038#464—171no—
1039#463—171no—
1040#463—171no—
1041#463—171no—
1042#463—171no—
1043#463—171no—
1044#463—171no—
1045#463—171no—
1046#463—171no—
1047#463—171no—
1048#460—171no—
1049#460—171no—
1050#460—171no—
1051#459—171no—
1052#459—171no—
1053#459—171no—
1054#459—171no—
1055#459—171no—
1056#459—171no—
1057#459—171no—
1058#459—171no—
1059#459—171no—
1060#459—171no—
1061#459—171no—
1062#459—171no—
1063#459—171no—
1064#459—171no—
1065#459—171no—
1066#452—171no—
1067#450—171no—
1068#450—171no—
1069#450—171no—
1070#450—171no—
1071#449—171no—
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#447—171no—
1081#447—171no—
1082#447—171no—
1083#447—171no—
1084#446—171no—
1085#446—171no—
1086#442—171no—
1087#442—171no—
1088#442—171no—
1089#442—171no—
1090#442—171no—
1091#440—171no—
1092#440—171no—
1093#440—171no—
1094C4×SD16—171no—
1095C4×D8—171no—
1096C4×D8—171no—
1097C4×D8—171no—
1098#435—171no—
1099#435—171no—
1100#435—171no—
1101#435—171no—
1102C8×D4—171no—
1103C8×D4—171no—
1104#433—171no—
1105#433—171no—
1106#432—171no—
1107#424—171no—
1108#424—171no—
1109C2×C4⋊C8—171no—
1110#418—171no—
1111#417—171no—
1112#416—171no—
1113C2×#102—171no—
1114C2×#102—171no—
1115C2×#102—171no—
1116C2×C17—22no—
1117C2×C17—41no—
1118C2×C17—41no—
1119C2×C17—81no—
1120C2×C17—81no—
1121C2×C17—81no—
1122C2×C17—81no—
1123C2×C17—81no—
1124C2×C17#348811yescharacteristic
1125C2×C17C2×#57611yescharacteristic
1126C2×C17#358511yescharacteristic
1127D17—42no—
1128D17—81no—
1129D17—81no—
1130C2×#41—21no—
1131C2×#41—171no—
1132C2×#41—341no—
1133C2×#41C22×D1711yescharacteristic
1134C2×#41C22×D1711yescharacteristic
1135C22×D4—21no—
1136C22×D4—21no—
1137C22×D4—21no—
1138C22×D4—21no—
1139C22×D4—21no—
1140C22×D4—171no—
1141C22×D4—171no—
1142C22×D4—341no—
1143C22×D4C22×D1711yescharacteristic
1144C22×D4C22×D1711yescharacteristic
1145C22×D4C22×D1711yescharacteristic
1146C22×D4C22×D1711yescharacteristic
1147C23×C4—341no—
1148AGL(1,ℤ/8)—682no—
1149AGL(1,ℤ/8)—682no—
1150#135—682no—
1151C2×Q16—171no—
1152C2×SD16—171no—
1153C2×SD16—171no—
1154C2×SD16—171no—
1155C2×SD16—171no—
1156C2×SD16—171no—
1157C2×SD16—171no—
1158C2×SD16—171no—
1159C2×SD16—171no—
1160C2×D8—171no—
1161C2×D8—171no—
1162C2×D8—171no—
1163C2×D8—171no—
1164C2×D8—171no—
1165C2×D8—171no—
1166C2×D8—171no—
1167C2×D8—171no—
1168C2×D8—171no—
1169C2×D8—171no—
1170C2×D8—171no—
1171C2×D8—171no—
1172C2×D8—171no—
1173C2×D8—171no—
1174C2×D8—171no—
1175C2×D8—682no—
1176C2×D8—682no—
1177C2×D8—682no—
1178C2×M16—171no—
1179C2×M16—171no—
1180C22×C8—171no—
1181C22×C8—171no—
1182C22×C8—171no—
1183C22×C8—171no—
1184C4⋊Q8—171no—
1185#127—21no—
1186#127—21no—
1187#127—21no—
1188#127—171no—
1189#127C22×D1711yescharacteristic
1190#127C22×D1711yescharacteristic
1191#127C22×D1711yescharacteristic
1192#127C22×D1711yescharacteristic
1193#127C22×D1711yescharacteristic
1194#127C22×D1711yescharacteristic
1195#126—21no—
1196#126—341no—
1197#126—341no—
1198#126—341no—
1199#126—341no—
1200#126C22⋊D1711yescharacteristic
1201#126C22⋊D1711yescharacteristic
1202#125—171no—
1203#125—171no—
1204#125—341no—
1205#125C22⋊D1711yescharacteristic
1206#125C22×D1711yescharacteristic
1207#124—21no—
1208#124—171no—
1209#124—171no—
1210#124—341no—
1211#124—341no—
1212#124C22⋊D1711yescharacteristic
1213#124C22×D1711yescharacteristic
1214#124C22×D1711yescharacteristic
1215#124C22×D1711yescharacteristic
1216#123—21no—
1217#123—21no—
1218#123—21no—
1219#123—21no—
1220#123—21no—
1221#123—21no—
1222#123—21no—
1223#123—21no—
1224#123—21no—
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#123C22⋊D1711yescharacteristic
1238#123C22⋊D1711yescharacteristic
1239C22⋊Q8—171no—
1240C22⋊Q8—171no—
1241C22⋊Q8—341no—
1242C22⋊Q8—341no—
1243C22⋊Q8—341no—
1244C22⋊Q8—341no—
1245C22⋊Q8—341no—
1246C22⋊Q8C22⋊D1711yescharacteristic
1247C22⋊Q8C22×D1711yescharacteristic
1248#121—21no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—21no—
1255#121—21no—
1256#121—21no—
1257#121—21no—
1258#121—21no—
1259#121—21no—
1260#121—21no—
1261#121—21no—
1262#121—21no—
1263#121—21no—
1264#121—21no—
1265#121—21no—
1266#121—171no—
1267#121—171no—
1268#121—171no—
1269#121—171no—
1270#121—341no—
1271#121—341no—
1272#121—341no—
1273#121—341no—
1274#121—341no—
1275#121—341no—
1276#121C22⋊D1711yescharacteristic
1277#121C22×D1711yescharacteristic
1278#121C22×D1711yescharacteristic
1279#121C22×D1711yescharacteristic
1280#121C22×D1711yescharacteristic
1281#121C22×D1711yescharacteristic
1282#120—21no—
1283#120—21no—
1284#120—21no—
1285#120—21no—
1286#120—21no—
1287#120—21no—
1288#120—21no—
1289#120—21no—
1290#120—21no—
1291#120—21no—
1292#120—21no—
1293#120—21no—
1294#120—341no—
1295#120—341no—
1296#120—341no—
1297#120—341no—
1298C4×Q8—171no—
1299C4×Q8—171no—
1300C4×Q8C22×D1711yescharacteristic
1301C4×Q8C22×D1711yescharacteristic
1302C4×D4—21no—
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—171no—
1306C4×D4—171no—
1307C4×D4—171no—
1308C4×D4—171no—
1309C4×D4—171no—
1310C4×D4—171no—
1311C4×D4—171no—
1312C4×D4—171no—
1313C4×D4—341no—
1314C4×D4—341no—
1315C4×D4—341no—
1316C4×D4—341no—
1317C4×D4—341no—
1318C4×D4—341no—
1319C4×D4—341no—
1320C4×D4—341no—
1321C4×D4—341no—
1322C4×D4C22×D1711yescharacteristic
1323C4×D4C22×D1711yescharacteristic
1324C4×D4C22×D1711yescharacteristic
1325C4×D4C22×D1711yescharacteristic
1326C4×D4C22×D1711yescharacteristic
1327C4×D4C22×D1711yescharacteristic
1328C4×D4C22×D1711yescharacteristic
1329C4×D4C22×D1711yescharacteristic
1330#117—21no—
1331#117—171no—
1332#117—341no—
1333#117—341no—
1334#117—341no—
1335#117C22×D1711yescharacteristic
1336#117C22×D1711yescharacteristic
1337C2×C4⋊C4—171no—
1338C2×C4⋊C4—171no—
1339C2×C4⋊C4—341no—
1340C2×C4⋊C4—341no—
1341C2×C22⋊C4—21no—
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—341no—
1344C2×C22⋊C4—341no—
1345C2×C22⋊C4—341no—
1346C2×C22⋊C4—341no—
1347C2×C22⋊C4—341no—
1348C2×C42C22×D1711yescharacteristic
1349#107—171no—
1350#107—171no—
1351#107—171no—
1352#107—171no—
1353#106—171no—
1354#106—171no—
1355#106—171no—
1356#106—171no—
1357C4⋊C8—171no—
1358C4⋊C8—171no—
1359C4⋊C8—171no—
1360C4⋊C8—171no—
1361C4⋊C8—171no—
1362C4⋊C8—171no—
1363C4⋊C8—171no—
1364C4⋊C8—171no—
1365C4⋊C8—171no—
1366C4⋊C8—171no—
1367#103—171no—
1368#103—171no—
1369#103—171no—
1370#103—171no—
1371#103—171no—
1372#103—171no—
1373#102—171no—
1374#102—171no—
1375#102—171no—
1376#102—171no—
1377#102—171no—
1378#102—171no—
1379#102—171no—
1380#102—171no—
1381#102—171no—
1382#102—171no—
1383#102—171no—
1384#102—171no—
1385#102—171no—
1386#102—171no—
1387#102—171no—
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—
1399C22⋊C8—171no—
1400C22⋊C8—171no—
1401C22⋊C8—171no—
1402C22⋊C8—171no—
1403C22⋊C8—171no—
1404C22⋊C8—171no—
1405#97—171no—
1406#97—171no—
1407#97—171no—
1408#97—171no—
1409C4×C8—171no—
1410C4×C8—171no—
1411C17#6200711yescharacteristic, complemented, Sylow
1412C24—21no—
1413C24—21no—
1414C24—21no—
1415C24—21no—
1416C24—341no—
1417C24—341no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—41no—
1422#41—82no—
1423#41—342no—
1424#41—681no—
1425#41—1362no—
1426C2×Q8—171no—
1427C2×Q8—341no—
1428C2×Q8C2×C22⋊D1711yescharacteristic
1429C2×Q8C23×D1711yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—41no—
1454C2×D4—41no—
1455C2×D4—41no—
1456C2×D4—41no—
1457C2×D4—41no—
1458C2×D4—41no—
1459C2×D4—41no—
1460C2×D4—41no—
1461C2×D4—82no—
1462C2×D4—82no—
1463C2×D4—82no—
1464C2×D4—82no—
1465C2×D4—82no—
1466C2×D4—171no—
1467C2×D4—171no—
1468C2×D4—171no—
1469C2×D4—342no—
1470C2×D4—342no—
1471C2×D4—341no—
1472C2×D4—341no—
1473C2×D4—341no—
1474C2×D4—341no—
1475C2×D4—341no—
1476C2×D4—341no—
1477C2×D4—341no—
1478C2×D4—341no—
1479C2×D4—341no—
1480C2×D4—681no—
1481C2×D4—681no—
1482C2×D4—1362no—
1483C2×D4C2×C22⋊D1711yescharacteristic
1484C2×D4C2×C22⋊D1711yescharacteristic
1485C2×D4C2×C22⋊D1711yescharacteristic
1486C2×D4C23×D1711yescharacteristic
1487C2×D4C23×D1711yescharacteristic
1488C2×D4C23×D1711yescharacteristic
1489C2×D4C23×D1711yescharacteristic
1490C2×D4C23×D1711yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—341no—
1499C22×C4—341no—
1500C22×C4—341no—
1501C22×C4—341no—
1502C22×C4—341no—
1503C22×C4—341no—
1504C22×C4—341no—
1505C22×C4—341no—
1506C22×C4—341no—
1507C22×C4—341no—
1508C22×C4—341no—
1509C22×C4—1362no—
1510C22×C4C2×C22⋊D1711yescharacteristic
1511C22×C4C2×C22⋊D1711yescharacteristic
1512C22×C4C23×D1711yescharacteristic
1513C22×C4C23×D1711yescharacteristic
1514C22×C4C23×D1711yescharacteristic
1515Q16—681no—
1516SD16—342no—
1517SD16—681no—
1518SD16—681no—
1519SD16—681no—
1520SD16—681no—
1521SD16—681no—
1522SD16—681no—
1523SD16—681no—
1524D8—342no—
1525D8—342no—
1526D8—342no—
1527D8—342no—
1528D8—342no—
1529D8—681no—
1530D8—681no—
1531D8—681no—
1532D8—681no—
1533D8—681no—
1534D8—681no—
1535D8—681no—
1536D8—681no—
1537D8—681no—
1538D8—681no—
1539M16—681no—
1540M16—681no—
1541C2×C8—171no—
1542C2×C8—171no—
1543C2×C8—171no—
1544C2×C8—171no—
1545C2×C8—171no—
1546C2×C8—171no—
1547C2×C8—171no—
1548C2×C8—171no—
1549C2×C8—681no—
1550C2×C8—681no—
1551C2×C8—681no—
1552C2×C8—681no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—171no—
1558C4⋊C4—171no—
1559C4⋊C4—171no—
1560C4⋊C4—171no—
1561C4⋊C4—341no—
1562C4⋊C4—341no—
1563C4⋊C4—341no—
1564C4⋊C4—341no—
1565C4⋊C4—341no—
1566C4⋊C4—341no—
1567C4⋊C4—341no—
1568C4⋊C4—341no—
1569C4⋊C4—341no—
1570C4⋊C4—341no—
1571C4⋊C4—341no—
1572C4⋊C4C2×C22⋊D1711yescharacteristic
1573C4⋊C4C2×C22⋊D1711yescharacteristic
1574C4⋊C4C2×C22⋊D1711yescharacteristic
1575C4⋊C4C2×C22⋊D1711yescharacteristic
1576C4⋊C4C2×C22⋊D1711yescharacteristic
1577C4⋊C4C2×C22⋊D1711yescharacteristic
1578C4⋊C4C2×C22⋊D1711yescharacteristic
1579C4⋊C4C2×C22⋊D1711yescharacteristic
1580C4⋊C4C2×C22⋊D1711yescharacteristic
1581C4⋊C4C2×C22⋊D1711yescharacteristic
1582C4⋊C4C23×D1711yescharacteristic
1583C4⋊C4C23×D1711yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—341no—
1602C22⋊C4—341no—
1603C22⋊C4—341no—
1604C22⋊C4—341no—
1605C22⋊C4—341no—
1606C22⋊C4—341no—
1607C22⋊C4—341no—
1608C22⋊C4—341no—
1609C22⋊C4—341no—
1610C22⋊C4—341no—
1611C22⋊C4—341no—
1612C22⋊C4—341no—
1613C22⋊C4—341no—
1614C22⋊C4—341no—
1615C22⋊C4—341no—
1616C22⋊C4—341no—
1617C22⋊C4—341no—
1618C22⋊C4—341no—
1619C22⋊C4—341no—
1620C22⋊C4C2×C22⋊D1711yescharacteristic
1621C22⋊C4C2×C22⋊D1711yescharacteristic
1622C22⋊C4C2×C22⋊D1711yescharacteristic
1623C22⋊C4C2×C22⋊D1711yescharacteristic
1624C22⋊C4C2×C22⋊D1711yescharacteristic
1625C22⋊C4C2×C22⋊D1711yescharacteristic
1626C22⋊C4C2×C22⋊D1711yescharacteristic
1627C22⋊C4C2×C22⋊D1711yescharacteristic
1628C22⋊C4C2×C22⋊D1711yescharacteristic
1629C22⋊C4C2×C22⋊D1711yescharacteristic
1630C42—21no—
1631C42—341no—
1632C42—341no—
1633C42—341no—
1634C42C2×C22⋊D1711yescharacteristic
1635C42C2×C22⋊D1711yescharacteristic
1636C42C23×D1711yescharacteristic
1637C42C23×D1711yescharacteristic
1638C42C23×D1711yescharacteristic
1639C42C23×D1711yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—42no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—81no—
1652C23—81no—
1653C23—81no—
1654C23—81no—
1655C23—81no—
1656C23—81no—
1657C23—341no—
1658C23—341no—
1659C23—341no—
1660C23—682no—
1661C23—682no—
1662C23—682no—
1663C23—1361no—
1664C23—1361no—
1665C23—1361no—
1666C23C22×C22⋊D1711yescharacteristic
1667C23C22×C22⋊D1711yescharacteristic
1668C23C22×C22⋊D1711yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—41no—
1672Q8—341no—
1673Q8—341no—
1674Q8—1361no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—41no—
1688D4—42no—
1689D4—42no—
1690D4—42no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4—81no—
1699D4—81no—
1700D4—81no—
1701D4—81no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4—81no—
1706D4—81no—
1707D4—81no—
1708D4—81no—
1709D4—81no—
1710D4—81no—
1711D4—172no—
1712D4—341no—
1713D4—341no—
1714D4—341no—
1715D4—341no—
1716D4—341no—
1717D4—682no—
1718D4—682no—
1719D4—682no—
1720D4—682no—
1721D4—1361no—
1722D4—1361no—
1723D4—1361no—
1724D4—1361no—
1725D4—1361no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—41no—
1737C2×C4—42no—
1738C2×C4—81no—
1739C2×C4—81no—
1740C2×C4—81no—
1741C2×C4—81no—
1742C2×C4—81no—
1743C2×C4—81no—
1744C2×C4—341no—
1745C2×C4—341no—
1746C2×C4—341no—
1747C2×C4—341no—
1748C2×C4—341no—
1749C2×C4—682no—
1750C2×C4—682no—
1751C2×C4—1361no—
1752C2×C4—1361no—
1753C2×C4—1361no—
1754C2×C4—1361no—
1755C2×C4—1361no—
1756C2×C4—1361no—
1757C2×C4—1361no—
1758C2×C4—1361no—
1759C2×C4—1361no—
1760C2×C4C22×C22⋊D1711yescharacteristic
1761C2×C4C22×C22⋊D1711yescharacteristic
1762C2×C4C22×C22⋊D1711yescharacteristic
1763C2×C4C22×C22⋊D1711yescharacteristic
1764C2×C4C22×C22⋊D1711yescharacteristic
1765C2×C4C22×C22⋊D1711yescharacteristic
1766C2×C4C22×C22⋊D1711yescharacteristic
1767C2×C4C22×C22⋊D1711yescharacteristic
1768C2×C4C22×C22⋊D1711yescharacteristic
1769C2×C4C22×C22⋊D1711yescharacteristic
1770C2×C4C22×C22⋊D1711yescharacteristic
1771C2×C4C24×D1711yescharacteristic
1772C8—341no—
1773C8—341no—
1774C8—341no—
1775C8—341no—
1776C8—341no—
1777C8—341no—
1778C8—341no—
1779C8—341no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—21no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—162no—
1804C22—162no—
1805C22—162no—
1806C22—162no—
1807C22—2722no—
1808C22—342no—
1809C22—681no—
1810C22—681no—
1811C22—681no—
1812C22—681no—
1813C22—681no—
1814C22—681no—
1815C22—681no—
1816C22—681no—
1817C22—1364no—
1818C22#1176361212yes—
1819C22C23×C22⋊D1711yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—681no—
1835C4—681no—
1836C4—681no—
1837C4—681no—
1838C4—681no—
1839C4H(5,𝔽2)×D1711yescharacteristic
1840C4#1176364411yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—41no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—81no—
1848C2—81no—
1849C2—682no—
1850C2—1361no—
1851C2—1361no—
1852C2#1454244611yescharacteristic
1853C2C2×#1176361211yescharacteristic
1854C2#1454356411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3543C2
socleC22×C17C23×D4
hypercenter#3543D17
hypocenterC17#62007
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ #529 ◁ #3543

Complements

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

NH ≅ G/Ntype
1. #14542728C2semidirect
2. #14541868C2semidirect
3. #14541826C2semidirect
4. #14541531C2semidirect
5. #14541487C2semidirect
6. #14540925C2semidirect
7. #14540805C2semidirect
8. #14540790C2semidirect
9. #14540745C2semidirect
10. #14540619C2semidirect
11. #14540597C2semidirect
12. #14540465C2semidirect
13. D4×#63228C2semidirect
14. #14540325C2semidirect
15. #14540265C2semidirect
16. #14540260C2semidirect
17. #14540260C2semidirect
18. #14540219C2semidirect
19. #14540189C2semidirect
20. #14540131C2semidirect
21. #14539878C2semidirect
22. #14539834C2semidirect
23. #14539802C2semidirect
24. #14539022C2semidirect
25. #14538977C2semidirect
26. #14538918C2semidirect
27. #14538319C2semidirect
28. #14538283C2semidirect
29. C2×#11763001C2semidirect
30. #14537923C2semidirect
31. C17×#3543C2semidirect
32. C2×#10587618C22semidirect
33. C2×#10587635C22semidirect
34. C2×#10587636C22semidirect
35. C22×#63228C22semidirect
36. C22×#63228C22semidirect
37. C22×#63228C22semidirect
38. #11763544C22semidirect
39. #11763519C22semidirect
41. #11763505C22semidirect
42. #11763499C22semidirect
45. #11763463C22semidirect
46. #11763455C22semidirect
47. #11763455C22semidirect
49. D4×D68C22semidirect
50. #11763430C22semidirect
51. #11763414C22semidirect
54. #11763343C22semidirect
57. #11763289C22semidirect
58. #11763283C22semidirect
59. C2×C4×D68C22semidirect
60. #11763199C22semidirect
61. #11763196C22semidirect
62. #11763196C22semidirect
63. #11763196C22semidirect
64. #11763191C22semidirect
65. #11763185C22semidirect
66. #11763173C22semidirect
67. #11763173C22semidirect
68. #11763173C22semidirect
69. #11763168C22semidirect
70. #11763163C22semidirect
71. #11763155C22semidirect
72. #11763137C22semidirect
73. #11763130C22semidirect
74. #11763130C22semidirect
75. #11763125C22semidirect
76. #11763120C22semidirect
77. #11763120C22semidirect
78. #11763116C22semidirect
79. #11763113C22semidirect
80. #11763109C22semidirect
81. #11763109C22semidirect
82. #11763109C22semidirect
83. #11763106C22semidirect
84. #11763106C22semidirect
85. #11763106C22semidirect
86. #11763099C22semidirect
87. #11763089C22semidirect
88. #11763060C22semidirect
89. #11763060C22semidirect
90. #11763060C22semidirect
91. #11763053C22semidirect
92. #11763048C22semidirect
94. #11763043C22semidirect
95. #11763043C22semidirect
96. #11763043C22semidirect
97. #11763040C22semidirect
98. #11763036C22semidirect
99. #11763036C22semidirect
100. #11763031C22semidirect
101. #11763028C22semidirect
102. #11763028C22semidirect
103. #11763024C22semidirect
104. #11763024C22semidirect
105. #11763024C22semidirect
106. #11763021C22semidirect
107. #11763021C22semidirect
108. #11763021C22semidirect
109. #11763021C22semidirect
110. #11763021C22semidirect
111. #11763021C22semidirect
112. #11763006C22semidirect
113. #11763006C22semidirect
114. #11763006C22semidirect
115. #11763004C22semidirect
116. #11763004C22semidirect
118. #11763001C22semidirect
119. #11763001C22semidirect
120. #11763001C22semidirect
121. #11763001C22semidirect
122. #11763001C22semidirect
123. #11763001C22semidirect
124. #11763001C22semidirect
125. #11763001C22semidirect
126. #11763001C22semidirect
127. #11763001C22semidirect
128. #11763001C22semidirect
129. #11763001C22semidirect
130. #11762971C22semidirect
131. #11762960C22semidirect
132. #11762960C22semidirect
133. #11762960C22semidirect
134. #11762959C22semidirect
135. #11762954C22semidirect
136. #11762954C22semidirect
137. #11762954C22semidirect
138. #11762952C22semidirect
139. #11762952C22semidirect
140. #11762943C22semidirect
141. #11762943C22semidirect
142. #11762943C22semidirect
143. #11762943C22semidirect
144. #11762943C22semidirect
146. #11762942C22semidirect
147. #11762942C22semidirect
148. #11762940C22semidirect
149. #11762940C22semidirect
150. #11762919C22semidirect
151. #11762919C22semidirect
152. #11762919C22semidirect
153. #11762919C22semidirect
154. #11762919C22semidirect
155. #11762909C22semidirect
156. #11762907C22semidirect
157. #11762907C22semidirect
158. C4×#63229C22semidirect
159. C4×#63228C22semidirect
160. C4×#63228C22semidirect
161. C4×#63228C22semidirect
162. #11762881C22semidirect
163. #11762881C22semidirect
164. #11762881C22semidirect
165. #11762881C22semidirect
166. D4×#3622C22semidirect
167. D4×#3622C22semidirect
168. #11762870C22semidirect
169. #11762870C22semidirect
170. #11762866C22semidirect
171. #11762836C22semidirect
172. #11762836C22semidirect
173. C2×C4⋊#3622C22semidirect
174. #11762814C22semidirect
175. #11762810C22semidirect
176. #11762805C22semidirect
177. C2×#10587503C22semidirect
178. C2×#10587503C22semidirect
179. C2×#10587503C22semidirect
182. C17×#559C22semidirect
183. C17×#550C22semidirect
184. C17×#550C22semidirect
187. C17×#546C22semidirect
190. D42×C17C22semidirect
191. D42×C17C22semidirect
193. C17×#540C22semidirect
194. C17×#540C22semidirect
196. C17×#535C22semidirect
197. C17×#535C22semidirect
200. C2×C17×#127C22semidirect
202. C17×#529C22semidirect
853. #3543D17semidirect
954. #559C2×D17semidirect
961. #550C2×D17semidirect
962. #550C2×D17semidirect
969. #546C2×D17semidirect
973. D42C2×D17semidirect
974. D42C2×D17semidirect
978. #540C2×D17semidirect
979. #540C2×D17semidirect
983. #535C2×D17semidirect
984. #535C2×D17semidirect
987. C2×#127C2×D17semidirect
990. #529C2×D17semidirect
1411. C17#62007semidirect

Maximal subgroups

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

subgroupindex
#145427282
#145418682
#145418262
#145415312
#145414872
#145409252
#145408052
#145407902
#145407452
#145406192
#145405972
#145404652
D4×#632282
#145403252
#145402652
#145402602
#145402192
#145401892
#145401312
#145398782
#145398342
#145398022
#145390222
#145389772
#145389182
#145383192
#145382832
C2×#117630012
#145379232
C17×#35432
#6200717