Finite Group Databasebeta

← #17900572

Subgroups — #17900572

Order 4352.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542213C211yesmaximal, characteristic
2#14537955C211yesmaximal, characteristic, complemented
3#14537952C211yesmaximal, characteristic, complemented
4#14537951C211yesmaximal, characteristic, complemented
5#14537948C211yesmaximal, characteristic, complemented
6#14537941C211yesmaximal, characteristic, complemented
7#14537931C211yesmaximal, characteristic, complemented
8#14537930C211yesmaximal, characteristic, complemented
9#14537912C211yesmaximal, characteristic, complemented
10#14537896C211yesmaximal, characteristic, complemented
11#14537883C211yesmaximal, characteristic, complemented
12#14537877C211yesmaximal, characteristic, complemented
13#14537876C211yesmaximal, characteristic, complemented
14#14537875C211yesmaximal, characteristic, complemented
15#14537871C211yesmaximal, characteristic, complemented
16#14537794C211yesmaximal, characteristic, complemented
17#14537783C211yesmaximal, characteristic, complemented
18#14537783C211yesmaximal, characteristic, complemented
19#14537782C211yesmaximal, characteristic, complemented
20#14537776C211yesmaximal, characteristic, complemented
21#14537772C211yesmaximal, characteristic, complemented
22#14537771C211yesmaximal, characteristic, complemented
23#14537763C211yesmaximal, characteristic, complemented
24#14537757C211yesmaximal, characteristic, complemented
25#14537747C211yesmaximal, characteristic, complemented
26#14537735C211yesmaximal, characteristic, complemented
27#14537730C211yesmaximal, characteristic, complemented
28#14537723C211yesmaximal, characteristic, complemented
29#14537720C211yesmaximal, characteristic, complemented
30#14537713C211yesmaximal, characteristic, complemented
31C17×#2993C211yesmaximal, characteristic, complemented
32#11763438C411yescharacteristic
33#11763425C411yescharacteristic
34#11763425C411yescharacteristic
35#11763423C411yescharacteristic
36#11763423C411yescharacteristic
37#11763418C411yescharacteristic
38#11763418C411yescharacteristic
39#11763416C411yescharacteristic
40#11763416C411yescharacteristic
41#11763408C411yescharacteristic
42#11763404C411yescharacteristic
43#11763403C411yescharacteristic
44#11763403C411yescharacteristic
45#11763386C411yescharacteristic
46#11763381C411yescharacteristic
47#11763381C411yescharacteristic
48#11763363C2211yescharacteristic
49#11763363C2211yescharacteristic
50#11763362C2211yescharacteristic
51#11763362C2211yescharacteristic
52#11763343C2211yescharacteristic
53#11763339C2211yescharacteristic
54#11763339C2211yescharacteristic
55#11763339C2211yescharacteristic
56#11763339C2211yescharacteristic
57#11763337C2211yescharacteristic
58#11763337C2211yescharacteristic
59C4×#63254C2211yescharacteristic
60C4×#63254C2211yescharacteristic
61C2×C4×Dic34C2211yescharacteristic
62#11762940C2211yescharacteristic
63#11762940C2211yescharacteristic
64#11762939C2211yescharacteristic
65#11762939C2211yescharacteristic
66#11762939C2211yescharacteristic
67#11762938C2211yescharacteristic
68#11762938C2211yescharacteristic
69#11762938C2211yescharacteristic
70#11762938C2211yescharacteristic
71#11762938C2211yescharacteristic
72#11762938C2211yescharacteristic
73#11762938C2211yescharacteristic
74#11762938C2211yescharacteristic
75#11762938C2211yescharacteristic
76#11762938C2211yescharacteristic
77#11762938C2211yescharacteristic
78#11762938C2211yescharacteristic
79#11762938C2211yescharacteristic
80#11762938C2211yescharacteristic
81#11762937C2211yescharacteristic
82#11762937C2211yescharacteristic
83#11762937C2211yescharacteristic
84#11762937C2211yescharacteristic
85#11762936C2211yescharacteristic
86#11762936C2211yescharacteristic
87#11762936C2211yescharacteristic
88#11762936C2211yescharacteristic
89#11762936C2211yescharacteristic
90#11762936C2211yescharacteristic
91C8×Dic34C2211yescharacteristic
92C8×Dic34C2211yescharacteristic
93C8×Dic34C2211yescharacteristic
94C8×Dic34C2211yescharacteristic
95C8×Dic34C2211yescharacteristic
96#11762933C2211yescharacteristic
97#11762933C2211yescharacteristic
98#11762933C2211yescharacteristic
99#11762933C2211yescharacteristic
100#11762887C2211yescharacteristic
101#11762887C2211yescharacteristic
102#11762886C2211yescharacteristic
103#11762885C2211yescharacteristic
104#11762885C2211yescharacteristic
105#11762885C2211yescharacteristic
106#11762885C2211yescharacteristic
107#11762885C2211yescharacteristic
108#11762884C2211yescharacteristic
109#11762884C2211yescharacteristic
110#11762884C2211yescharacteristic
111#11762883C2211yescharacteristic
112#11762883C2211yescharacteristic
113#11762883C2211yescharacteristic
114#11762883C2211yescharacteristic
115#11762883C2211yescharacteristic
116#11762881C2211yescharacteristic
117#11762881C2211yescharacteristic
118#11762881C2211yescharacteristic
119#11762881C2211yescharacteristic
120#11762880C2211yescharacteristic
121#11762880C2211yescharacteristic
122#11762880C2211yescharacteristic
123#11762879C2211yescharacteristic
124#11762879C2211yescharacteristic
125#11762878C2211yescharacteristic
126#11762878C2211yescharacteristic
127#11762878C2211yescharacteristic
128#11762877C2211yescharacteristic
129#11762874C2211yescharacteristic
130C8×C22⋊D17C2211yescharacteristic
131#11762872C2211yescharacteristic
132#11762872C2211yescharacteristic
133#11762872C2211yescharacteristic
134#11762871C2211yescharacteristic
135#11762870C2211yescharacteristic
136#11762870C2211yescharacteristic
137#11762869C2211yescharacteristic
138#11762869C2211yescharacteristic
139#11762869C2211yescharacteristic
140#11762869C2211yescharacteristic
141#11762868C2211yescharacteristic
142#11762868C2211yescharacteristic
143#11762868C2211yescharacteristic
144#11762867C2211yescharacteristic
145#11762867C2211yescharacteristic
146#11762867C2211yescharacteristic
147#11762867C2211yescharacteristic
148#11762866C2211yescharacteristic
149#11762865C2211yescharacteristic
150#11762864C2211yescharacteristic
151#11762863C2211yescharacteristic
152#11762863C2211yescharacteristic
153#11762863C2211yescharacteristic
154#11762861C2211yescharacteristic
155#11762860C2211yescharacteristic
156#11762859C2211yescharacteristic
157#11762859C2211yescharacteristic
158#11762859C2211yescharacteristic
159#11762859C2211yescharacteristic
160#11762859C2211yescharacteristic
161#11762837C2211yescharacteristic
162#11762835C2211yescharacteristic
163#11762834C2211yescharacteristic
164#11762834C2211yescharacteristic
165#11762834C2211yescharacteristic
166#11762834C2211yescharacteristic
167#11762832C2211yescharacteristic
168#11762832C2211yescharacteristic
169#11762832C2211yescharacteristic
170#11762831C2211yescharacteristic
171#11762831C2211yescharacteristic
172C2×#10587485C2211yescharacteristic
173#11762767C2211yescharacteristic
174#11762766C2211yescharacteristic
175#11762765C2211yescharacteristic
176#11762765C2211yescharacteristic
177#11762764C2211yescharacteristic
178#11762763C2211yescharacteristic
179#11762763C2211yescharacteristic
180#11762763C2211yescharacteristic
181C4×#63223C2211yescharacteristic
182M16×Dic17C2211yescharacteristic
183M16×Dic17C2211yescharacteristic
184M16×Dic17C2211yescharacteristic
185C2×#10587486C2211yescharacteristic
186#97×D17C2211yescharacteristic
187C4×C8×D17C2211yescharacteristic
188C17×#529C2211yescharacteristic
189C17×#446C2211yescharacteristic
190C8×Q8×C17C2211yescharacteristic
191C17×#436C2211yescharacteristic
192C17×#436C2211yescharacteristic
193C17×#436C2211yescharacteristic
194C17×#435C2211yescharacteristic
195C17×#435C2211yescharacteristic
196C8×D4×C17C2211yescharacteristic
197C17×#433C2211yescharacteristic
198C17×#433C2211yescharacteristic
199C17×#431C2211yescharacteristic
200C17×#424C2211yescharacteristic
201C17×#424C2211yescharacteristic
202C17×#423C2211yescharacteristic
203C2×#63254C2×C411yescharacteristic
204C2×#63254C2×C411yescharacteristic
205C22×Dic34C2×C411yescharacteristic
206C2×M16×C17C2311yescharacteristic
207C2×M16×C17C2311yescharacteristic
208C2×M16×C17C2311yescharacteristic
209C2×M16×C17C2311yescharacteristic
210C22×C8×C17C2311yescharacteristic
211C22×C8×C17C2311yescharacteristic
212C17×#126C2×C411yescharacteristic
213C17×#126C2×C411yescharacteristic
214C17×#125C2×C411yescharacteristic
215C17×#124C2×C411yescharacteristic
216C17×#123C2×C411yescharacteristic
217C17×#123C2×C411yescharacteristic
218C17×C22⋊Q8C2×C411yescharacteristic
219C17×#121C2×C411yescharacteristic
220C4×Q8×C17C2311yescharacteristic
221C4×D4×C17C2311yescharacteristic
222C4×D4×C17C2311yescharacteristic
223C4×D4×C17C2311yescharacteristic
224C17×#117C2311yescharacteristic
225C17×#117C2311yescharacteristic
226C2×C42×C17C2311yescharacteristic
227#10587632C2×C411yescharacteristic
228#10587632C2×C411yescharacteristic
229#10587630C2×C411yescharacteristic
230#10587630C2×C411yescharacteristic
231#10587625C2×C411yescharacteristic
232#10587625C2×C411yescharacteristic
233#10587625C2×C411yescharacteristic
234#10587625C2×C411yescharacteristic
235#10587621C2×C411yescharacteristic
236#10587621C2×C411yescharacteristic
237#10587621C2×C411yescharacteristic
238#10587621C2×C411yescharacteristic
239D4×Dic17C2×C411yescharacteristic
240D4×Dic17C2×C411yescharacteristic
241#10587616C2×C411yescharacteristic
242#10587615C2×C411yescharacteristic
243#10587615C2×C411yescharacteristic
244C4×C22⋊D17C2311yescharacteristic
245C4×C22⋊D17C2311yescharacteristic
246C4×C22⋊D17C2311yescharacteristic
247C4×C22⋊D17C2311yescharacteristic
248C4×C22⋊D17C2311yescharacteristic
249C4×C22⋊D17C2311yescharacteristic
250#10587612C2311yescharacteristic
251#10587612C2311yescharacteristic
252C2×C4⋊Dic17C2×C411yescharacteristic
253#10587610C2×C411yescharacteristic
254C2×#63225C2×C411yescharacteristic
255C2×#63225C2×C411yescharacteristic
256C2×C4×Dic17C2311yescharacteristic
257C2×C4×Dic17C2311yescharacteristic
258C2×C4×Dic17C2311yescharacteristic
259C2×C4×Dic17C2311yescharacteristic
260C2×#63223C2311yescharacteristic
261C2×#63223C2311yescharacteristic
262C2×#63223C2311yescharacteristic
263C2×#63223C2311yescharacteristic
264C22×#3622C2311yescharacteristic
265C22×#3622C2311yescharacteristic
266C2×#63218C2311yescharacteristic
267C2×#63218C2311yescharacteristic
268C2×#63218C2311yescharacteristic
269C2×#63218C2311yescharacteristic
270C2×C8×D17C2311yescharacteristic
271C2×C8×D17C2311yescharacteristic
272C2×C8×D17C2311yescharacteristic
273C2×C8×D17C2311yescharacteristic
274#10587584C2×C411yescharacteristic
275#10587584C2×C411yescharacteristic
276#10587584C2×C411yescharacteristic
277#10587584C2×C411yescharacteristic
278#10587584C2×C411yescharacteristic
279#10587584C2×C411yescharacteristic
280#10587583C2×C411yescharacteristic
281#10587583C2×C411yescharacteristic
282#10587582C2×C411yescharacteristic
283#10587582C2×C411yescharacteristic
284#10587582C2×C411yescharacteristic
285#10587582C2×C411yescharacteristic
286#10587582C2×C411yescharacteristic
287#10587582C2×C411yescharacteristic
288#10587580C2×C411yescharacteristic
289#10587580C2×C411yescharacteristic
290#10587578C2×C411yescharacteristic
291#10587578C2×C411yescharacteristic
292#10587576C2×C411yescharacteristic
293#10587576C2×C411yescharacteristic
294#10587576C2×C411yescharacteristic
295#10587576C2×C411yescharacteristic
296#10587575C2×C411yescharacteristic
297#10587575C2×C411yescharacteristic
298#10587575C2×C411yescharacteristic
299#10587575C2×C411yescharacteristic
300#10587575C2×C411yescharacteristic
301#10587575C2×C411yescharacteristic
302#10587575C2×C411yescharacteristic
303#10587575C2×C411yescharacteristic
304#10587575C2×C411yescharacteristic
305#10587575C2×C411yescharacteristic
306#10587574C2×C411yescharacteristic
307#10587574C2×C411yescharacteristic
308#10587574C2×C411yescharacteristic
309#10587574C2×C411yescharacteristic
310#10587574C2×C411yescharacteristic
311#10587574C2×C411yescharacteristic
312#10587573C2×C411yescharacteristic
313#10587573C2×C411yescharacteristic
314#10587572C2×C411yescharacteristic
315#10587572C2×C411yescharacteristic
316#10587572C2×C411yescharacteristic
317#10587572C2×C411yescharacteristic
318#10587571C2×C411yescharacteristic
319#10587571C2×C411yescharacteristic
320#10587571C2×C411yescharacteristic
321#10587571C2×C411yescharacteristic
322#10587571C2×C411yescharacteristic
323#10587571C2×C411yescharacteristic
324#10587570C2×C411yescharacteristic
325#10587570C2×C411yescharacteristic
326#10587569C2×C411yescharacteristic
327#10587569C2×C411yescharacteristic
328#10587567C2×C411yescharacteristic
329#10587567C2×C411yescharacteristic
330#10587567C2×C411yescharacteristic
331#10587567C2×C411yescharacteristic
332#10587565C2×C411yescharacteristic
333#10587565C2×C411yescharacteristic
334#10587565C2×C411yescharacteristic
335#10587565C2×C411yescharacteristic
336#10587565C2×C411yescharacteristic
337#10587565C2×C411yescharacteristic
338#10587564C2×C411yescharacteristic
339#10587564C2×C411yescharacteristic
340#10587564C2×C411yescharacteristic
341#10587564C2×C411yescharacteristic
342#10587564C2×C411yescharacteristic
343#10587564C2×C411yescharacteristic
344#10587564C2×C411yescharacteristic
345#10587564C2×C411yescharacteristic
346#10587564C2×C411yescharacteristic
347#10587564C2×C411yescharacteristic
348#10587564C2×C411yescharacteristic
349#10587564C2×C411yescharacteristic
350#10587563C2×C411yescharacteristic
351#10587563C2×C411yescharacteristic
352#10587563C2×C411yescharacteristic
353#10587563C2×C411yescharacteristic
354#10587562C2×C411yescharacteristic
355#10587562C2×C411yescharacteristic
356#10587561C2×C411yescharacteristic
357C4×D68C2311yescharacteristic
358#10587558C2311yescharacteristic
359#10587558C2311yescharacteristic
360#10587558C2311yescharacteristic
361#10587558C2311yescharacteristic
362C42×D17C2311yescharacteristic
363C42×D17C2311yescharacteristic
364#10587556C2×C411yescharacteristic
365C4×Dic34C2×C411yescharacteristic
366C4×Dic34C2×C411yescharacteristic
367C4×Dic34C2×C411yescharacteristic
368C4×Dic34C2×C411yescharacteristic
369C4×Dic34C2311yescharacteristic
370C4×Dic34C2311yescharacteristic
371C4×Dic34C2311yescharacteristic
372C4×Dic34C2311yescharacteristic
373C4×Dic34C2311yescharacteristic
374C4×Dic34C2311yescharacteristic
375C4×Dic34C2311yescharacteristic
376C4×Dic34C2311yescharacteristic
377C4×Dic34C2311yescharacteristic
378C17×C4⋊C8C2311yescharacteristic
379C17×C4⋊C8C2311yescharacteristic
380C17×C4⋊C8C2311yescharacteristic
381C17×C4⋊C8C2311yescharacteristic
382C17×C4⋊C8C2311yescharacteristic
383C17×C4⋊C8C2311yescharacteristic
384C17×C4⋊C8C2311yescharacteristic
385C17×C4⋊C8C2311yescharacteristic
386C17×C4⋊C8C2311yescharacteristic
387C17×C4⋊C8C2311yescharacteristic
388C17×C22⋊C8C2311yescharacteristic
389C17×C22⋊C8C2311yescharacteristic
390C17×C22⋊C8C2311yescharacteristic
391C17×C22⋊C8C2311yescharacteristic
392C17×C22⋊C8C2311yescharacteristic
393C17×C22⋊C8C2311yescharacteristic
394C17×#97C2311yescharacteristic
395C17×#97C2311yescharacteristic
396C4×C8×C17C2311yescharacteristic
397C4×C8×C17C2311yescharacteristic
398C4×C8×C17C2311yescharacteristic
399C4×C8×C17C2311yescharacteristic
400C22⋊#3622C2311yescharacteristic
401C22⋊#3622C2311yescharacteristic
402C22⋊#3622C2311yescharacteristic
403C22⋊#3622C2311yescharacteristic
404C22⋊#3622C2311yescharacteristic
405C22⋊#3622C2311yescharacteristic
406#10587491C2311yescharacteristic
407#10587491C2311yescharacteristic
408#10587491C2311yescharacteristic
409#10587491C2311yescharacteristic
410#10587491C2311yescharacteristic
411#10587491C2311yescharacteristic
412#10587491C2311yescharacteristic
413#10587491C2311yescharacteristic
414#10587486C2311yescharacteristic
415#10587486C2311yescharacteristic
416#10587486C2311yescharacteristic
417#10587486C2311yescharacteristic
418#10587486C2311yescharacteristic
419#10587486C2311yescharacteristic
420#10587486C2311yescharacteristic
421#10587486C2311yescharacteristic
422#10587486C2311yescharacteristic
423#10587486C2311yescharacteristic
424#10587486C2311yescharacteristic
425#10587486C2311yescharacteristic
426#10587485C2311yescharacteristic
427#10587485C2311yescharacteristic
428#10587485C2311yescharacteristic
429#10587485C2311yescharacteristic
430#10587485C2311yescharacteristic
431#10587485C2311yescharacteristic
432#10587485C2311yescharacteristic
433#10587485C2311yescharacteristic
434#10587485C2311yescharacteristic
435#10587485C2311yescharacteristic
436#10587485C2311yescharacteristic
437#10587485C2311yescharacteristic
438#10587485C2311yescharacteristic
439#10587485C2311yescharacteristic
440#10587485C2311yescharacteristic
441#10587485C2311yescharacteristic
442#10587485C2311yescharacteristic
443#10587485C2311yescharacteristic
444#10587485C2311yescharacteristic
445#10587485C2311yescharacteristic
446#10587485C2311yescharacteristic
447#10587485C2311yescharacteristic
448#10587485C2311yescharacteristic
449#10587485C2311yescharacteristic
450C8×Dic17C2311yescharacteristic
451C8×Dic17C2311yescharacteristic
452C8×Dic17C2311yescharacteristic
453C8×Dic17C2311yescharacteristic
454C8×Dic17C2311yescharacteristic
455C8×Dic17C2311yescharacteristic
456C8×Dic17C2311yescharacteristic
457C8×Dic17C2311yescharacteristic
458C8×Dic17C2311yescharacteristic
459C8×Dic17C2311yescharacteristic
460C8×Dic17C2311yescharacteristic
461C8×Dic17C2311yescharacteristic
462C4⋊#3622C2311yescharacteristic
463C4⋊#3622C2311yescharacteristic
464C4⋊#3622C2311yescharacteristic
465C4⋊#3622C2311yescharacteristic
466C4⋊#3622C2311yescharacteristic
467C4⋊#3622C2311yescharacteristic
468#10587474C2311yescharacteristic
469#10587474C2311yescharacteristic
470#10587474C2311yescharacteristic
471#10587474C2311yescharacteristic
472#10587474C2311yescharacteristic
473#10587474C2311yescharacteristic
474C4×#3622C2311yescharacteristic
475C4×#3622C2311yescharacteristic
476C4×#3622C2311yescharacteristic
477C4×#3622C2311yescharacteristic
478C2×Q8×C17C22×C411yescharacteristic
479C2×D4×C17C22×C411yescharacteristic
480C2×D4×C17C22×C411yescharacteristic
481C2×D4×C17C22×C411yescharacteristic
482C22×C4×C17C22×C411yescharacteristic
483C22×C4×C17C22×C411yescharacteristic
484C22×C4×C17C2411yescharacteristic
485C22×C4×C17C2411yescharacteristic
486C22×C4×C17C2411yescharacteristic
487C2×C22⋊D17C22×C411yescharacteristic
488C2×C22⋊D17C22×C411yescharacteristic
489C2×C22⋊D17C22×C411yescharacteristic
490C2×C22⋊D17C22×C411yescharacteristic
491C2×C22⋊D17C22×C411yescharacteristic
492C2×C22⋊D17C22×C411yescharacteristic
493C22×Dic17C22×C411yescharacteristic
494C22×Dic17C22×C411yescharacteristic
495C22×Dic17C22×C411yescharacteristic
496C22×Dic17C22×C411yescharacteristic
497C22×Dic17C22×C411yescharacteristic
498C22×Dic17C22×C411yescharacteristic
499C22×Dic17C22×C411yescharacteristic
500C22×Dic17C22×C411yescharacteristic
501#63254—42no—
502#63254—42no—
503C2×D68C22×C411yescharacteristic
504C2×C4×D17C22×C411yescharacteristic
505C2×C4×D17C22×C411yescharacteristic
506C2×C4×D17C22×C411yescharacteristic
507C2×C4×D17C22×C411yescharacteristic
508C2×C4×D17C2411yescharacteristic
509C2×C4×D17C2411yescharacteristic
510C2×Dic34—42no—
511C2×Dic34C22×C411yescharacteristic
512C2×Dic34C22×C411yescharacteristic
513C2×Dic34C22×C411yescharacteristic
514C2×Dic34C22×C411yescharacteristic
515C2×Dic34C22×C411yescharacteristic
516C2×Dic34C22×C411yescharacteristic
517C2×Dic34C22×C411yescharacteristic
518C2×Dic34C22×C411yescharacteristic
519C2×Dic34C22×C411yescharacteristic
520M16×C17—41no—
521M16×C17—41no—
522M16×C17—41no—
523M16×C17—41no—
524C2×C8×C17—41no—
525C2×C8×C17—41no—
526C2×C8×C17C2411yescharacteristic
527C2×C8×C17C2411yescharacteristic
528C2×C8×C17C2411yescharacteristic
529C2×C8×C17C2411yescharacteristic
530C2×C8×C17C2411yescharacteristic
531C2×C8×C17C2411yescharacteristic
532C2×C8×C17C2411yescharacteristic
533C2×C8×C17C2411yescharacteristic
534C4⋊C4×C17C22×C411yescharacteristic
535C4⋊C4×C17C22×C411yescharacteristic
536C4⋊C4×C17C22×C411yescharacteristic
537C4⋊C4×C17C22×C411yescharacteristic
538C4⋊C4×C17C22×C411yescharacteristic
539C4⋊C4×C17C22×C411yescharacteristic
540C4⋊C4×C17C22×C411yescharacteristic
541C4⋊C4×C17C22×C411yescharacteristic
542C4⋊C4×C17C22×C411yescharacteristic
543C4⋊C4×C17C22×C411yescharacteristic
544C22⋊C4×C17C22×C411yescharacteristic
545C22⋊C4×C17C22×C411yescharacteristic
546C22⋊C4×C17C22×C411yescharacteristic
547C22⋊C4×C17C22×C411yescharacteristic
548C22⋊C4×C17C22×C411yescharacteristic
549C22⋊C4×C17C22×C411yescharacteristic
550C22⋊C4×C17C22×C411yescharacteristic
551C22⋊C4×C17C22×C411yescharacteristic
552C22⋊C4×C17C22×C411yescharacteristic
553C22⋊C4×C17C22×C411yescharacteristic
554C42×C17C22×C411yescharacteristic
555C42×C17C22×C411yescharacteristic
556C42×C17C2411yescharacteristic
557C42×C17C2411yescharacteristic
558C42×C17C2411yescharacteristic
559C42×C17C2411yescharacteristic
560C22⋊Dic17C22×C411yescharacteristic
561C22⋊Dic17C22×C411yescharacteristic
562C22⋊Dic17C22×C411yescharacteristic
563C22⋊Dic17C22×C411yescharacteristic
564C22⋊Dic17C22×C411yescharacteristic
565C22⋊Dic17C22×C411yescharacteristic
566C22⋊Dic17C22×C411yescharacteristic
567C22⋊Dic17C22×C411yescharacteristic
568C22⋊Dic17C22×C411yescharacteristic
569C22⋊Dic17C22×C411yescharacteristic
570#63227C22×C411yescharacteristic
571#63227C22×C411yescharacteristic
572#63227C22×C411yescharacteristic
573#63227C22×C411yescharacteristic
574#63227C22×C411yescharacteristic
575#63227C22×C411yescharacteristic
576#63227C22×C411yescharacteristic
577#63227C22×C411yescharacteristic
578#63227C22×C411yescharacteristic
579#63227C22×C411yescharacteristic
580#63227C22×C411yescharacteristic
581#63227C22×C411yescharacteristic
582#63227C22×C411yescharacteristic
583#63227C22×C411yescharacteristic
584#63227C22×C411yescharacteristic
585#63227C22×C411yescharacteristic
586C4⋊Dic17C22×C411yescharacteristic
587C4⋊Dic17C22×C411yescharacteristic
588C4⋊Dic17C22×C411yescharacteristic
589C4⋊Dic17C22×C411yescharacteristic
590C4⋊Dic17C22×C411yescharacteristic
591C4⋊Dic17C22×C411yescharacteristic
592C4⋊Dic17C22×C411yescharacteristic
593C4⋊Dic17C22×C411yescharacteristic
594C4⋊Dic17C22×C411yescharacteristic
595C4⋊Dic17C22×C411yescharacteristic
596C4⋊Dic17C22×C411yescharacteristic
597C4⋊Dic17C22×C411yescharacteristic
598C4⋊Dic17C22×C411yescharacteristic
599C4⋊Dic17C22×C411yescharacteristic
600#63225C22×C411yescharacteristic
601#63225C22×C411yescharacteristic
602#63225C22×C411yescharacteristic
603#63225C22×C411yescharacteristic
604#63225C22×C411yescharacteristic
605#63225C22×C411yescharacteristic
606#63225C22×C411yescharacteristic
607#63225C22×C411yescharacteristic
608#63225C22×C411yescharacteristic
609#63225C22×C411yescharacteristic
610#63225C22×C411yescharacteristic
611#63225C22×C411yescharacteristic
612#63225C22×C411yescharacteristic
613#63225C22×C411yescharacteristic
614#63225C22×C411yescharacteristic
615#63225C22×C411yescharacteristic
616#63225C22×C411yescharacteristic
617#63225C22×C411yescharacteristic
618#63225C22×C411yescharacteristic
619#63225C22×C411yescharacteristic
620#63225C22×C411yescharacteristic
621#63225C22×C411yescharacteristic
622#63225C22×C411yescharacteristic
623#63225C22×C411yescharacteristic
624#63225C22×C411yescharacteristic
625#63225C22×C411yescharacteristic
626#63225C22×C411yescharacteristic
627#63225C22×C411yescharacteristic
628#63225C22×C411yescharacteristic
629#63225C22×C411yescharacteristic
630#63225C22×C411yescharacteristic
631#63225C22×C411yescharacteristic
632C4×Dic17C22×C411yescharacteristic
633C4×Dic17C22×C411yescharacteristic
634C4×Dic17C22×C411yescharacteristic
635C4×Dic17C22×C411yescharacteristic
636C4×Dic17C22×C411yescharacteristic
637C4×Dic17C22×C411yescharacteristic
638C4×Dic17C22×C411yescharacteristic
639C4×Dic17C22×C411yescharacteristic
640C4×Dic17C22×C411yescharacteristic
641C4×Dic17C22×C411yescharacteristic
642C4×Dic17C22×C411yescharacteristic
643C4×Dic17C22×C411yescharacteristic
644C4×Dic17C2411yescharacteristic
645C4×Dic17C2411yescharacteristic
646C4×Dic17C2411yescharacteristic
647C4×Dic17C2411yescharacteristic
648C4×Dic17C2411yescharacteristic
649C4×Dic17C2411yescharacteristic
650#63223—22no—
651#63223—22no—
652#63223—41no—
653#63223—41no—
654C2×#3622—22no—
655C2×#3622—41no—
656C2×#3622C2411yescharacteristic
657C2×#3622C2411yescharacteristic
658C2×#3622C2411yescharacteristic
659C2×#3622C2411yescharacteristic
660C2×#3622C2411yescharacteristic
661C2×#3622C2411yescharacteristic
662C2×#3622C2411yescharacteristic
663C2×#3622C2411yescharacteristic
664#63218—41no—
665#63218—41no—
666#63218—41no—
667#63218—41no—
668C8×D17—22no—
669C8×D17—22no—
670C8×D17—41no—
671C8×D17—41no—
672#60344—171nomaximal, Sylow
673C23×C17C23×C411yescharacteristic
674C23×C17C23×C411yescharacteristic
675C23×C17C23×C411yescharacteristic
676C22×D17C23×C411yescharacteristic
677C22×D17C23×C411yescharacteristic
678Q8×C17—41no—
679D4×C17—41no—
680D4×C17—41no—
681D4×C17—41no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—41no—
689C2×C4×C17—41no—
690C2×C4×C17C23×C411yescharacteristic
691C2×C4×C17C23×C411yescharacteristic
692C2×C4×C17C23×C411yescharacteristic
693C2×C4×C17C23×C411yescharacteristic
694C2×C4×C17C23×C411yescharacteristic
695C2×C4×C17C23×C411yescharacteristic
696C2×C4×C17C23×C411yescharacteristic
697C2×C4×C17C23×C411yescharacteristic
698C2×C4×C17C23×C411yescharacteristic
699C2×C4×C17C23×C411yescharacteristic
700C2×C4×C17C23×C411yescharacteristic
701C2×C4×C17C2511yescharacteristic
702C22⋊D17—22no—
703C22⋊D17—41no—
704C22⋊D17—41no—
705C22⋊D17—41no—
706C22⋊D17—41no—
707C22⋊D17—41no—
708C2×Dic17—22no—
709C2×Dic17—22no—
710C2×Dic17—41no—
711C2×Dic17—41no—
712C2×Dic17—41no—
713C2×Dic17—41no—
714C2×Dic17—41no—
715C2×Dic17—41no—
716C2×Dic17C23×C411yescharacteristic
717C2×Dic17C23×C411yescharacteristic
718C2×Dic17C23×C411yescharacteristic
719C2×Dic17C23×C411yescharacteristic
720C2×Dic17C23×C411yescharacteristic
721C2×Dic17C23×C411yescharacteristic
722C2×Dic17C23×C411yescharacteristic
723C2×Dic17C23×C411yescharacteristic
724C2×Dic17C23×C411yescharacteristic
725C2×Dic17C23×C411yescharacteristic
726C2×Dic17C23×C411yescharacteristic
727C2×Dic17C23×C411yescharacteristic
728C2×Dic17C23×C411yescharacteristic
729C2×Dic17C23×C411yescharacteristic
730D68—41no—
731C4×D17—21no—
732C4×D17—21no—
733C4×D17—21no—
734C4×D17—21no—
735C4×D17—22no—
736C4×D17—41no—
737C4×D17—41no—
738C4×D17—41no—
739Dic34—22no—
740Dic34—22no—
741Dic34—22no—
742Dic34—41no—
743Dic34—41no—
744Dic34—41no—
745Dic34—41no—
746Dic34—41no—
747Dic34—41no—
748C8×C17—21no—
749C8×C17—21no—
750C8×C17—21no—
751C8×C17—21no—
752C8×C17—21no—
753C8×C17—21no—
754C8×C17—21no—
755C8×C17—21no—
756#3622—21no—
757#3622—21no—
758#3622—21no—
759#3622—21no—
760#3622—21no—
761#3622—21no—
762#3622—21no—
763#36222−1+412yes—
764#3461—171no—
765#2995—171no—
766#2995—171no—
767#2995—171no—
768#2995—171no—
769#2994—171no—
770#2993—171no—
771#2993—171no—
772#2993D1711yescharacteristic, complemented
773#2991—171no—
774#2989—171no—
775#2986—171no—
776#2985—171no—
777#2985—171no—
778#2985—171no—
779#2984—171no—
780#2970—171no—
781#2969—171no—
782#2969—171no—
783#2969—171no—
784#2968—171no—
785#2968—171no—
786#2967—171no—
787#2967—171no—
788#2966—171no—
789#2965—171no—
790Q8×M16—171no—
791#2962—171no—
792#2961—171no—
793#2961—171no—
794#2960—171no—
795C22×C17—21no—
796C22×C17—21no—
797C22×C17—21no—
798C22×C17—21no—
799C22×C17—21no—
800C22×C17—21no—
801C22×C17—21no—
802C22×C17—21no—
803C22×C17—21no—
804C22×C17C24×C411yescharacteristic
805C2×D17—21no—
806C2×D17—21no—
807C2×D17—21no—
808C2×D17—21no—
809C2×D17—21no—
810C2×D17—21no—
811C4×C17—21no—
812C4×C17—21no—
813C4×C17—21no—
814C4×C17—21no—
815C4×C17—21no—
816C4×C17—21no—
817C4×C17—21no—
818C4×C17—21no—
819C4×C17—21no—
820C4×C17—21no—
821C4×C17—21no—
822C4×C17C2×2−1+411yescharacteristic
823C4×C17#58511yescharacteristic
824Dic17—21no—
825Dic17—21no—
826Dic17—21no—
827Dic17—21no—
828Dic17—21no—
829Dic17—21no—
830Dic17—21no—
831Dic17—21no—
832Dic17—21no—
833Dic17—21no—
834Dic17—21no—
835Dic17—21no—
836Dic17—21no—
837Dic17#56812yes—
838#544—171no—
839#542—171no—
840#542—171no—
841#542—171no—
842#542—171no—
843#541—171no—
844#541—171no—
845#541—171no—
846#541—171no—
847#539—171no—
848#539—171no—
849#539—171no—
850#539—171no—
851#537—171no—
852#536—171no—
853#536—171no—
854#533—171no—
855#533—171no—
856#533—171no—
857#533—171no—
858#529—171no—
859#529—171no—
860#529—171no—
861#529—171no—
862#529—171no—
863#529—171no—
864#529—171no—
865#529C2×D1711yescharacteristic
866C4×#41—171no—
867C4×#41—171no—
868C2×C4×Q8—171no—
869#446—171no—
870#446—171no—
871#446—171no—
872#446—171no—
873#446—171no—
874#446—171no—
875#446—171no—
876#446—171no—
877#446—171no—
878#446—171no—
879#446—171no—
880#446—171no—
881#446—171no—
882#446—171no—
883#446—171no—
884#446—171no—
885#446—171no—
886#446—171no—
887#446—171no—
888#446—171no—
889#446—171no—
890#446—171no—
891#446—171no—
892#446—171no—
893#446—171no—
894#446—171no—
895#446—171no—
896#446—171no—
897#446—171no—
898#446C2×D1711yescharacteristic
899C8×Q8—171no—
900C8×Q8—171no—
901C8×Q8—171no—
902C8×Q8—171no—
903C8×Q8—171no—
904C8×Q8—171no—
905C8×Q8—171no—
906C8×Q8—171no—
907C8×Q8—171no—
908C8×Q8C2×D1711yescharacteristic
909#436—171no—
910#436—171no—
911#436—171no—
912#436—171no—
913#436—171no—
914#436—171no—
915#436—171no—
916#436—171no—
917#436—171no—
918#436—171no—
919#436—171no—
920#436C2×D1711yescharacteristic
921#436C2×D1711yescharacteristic
922#436C2×D1711yescharacteristic
923#435—171no—
924#435—171no—
925#435—171no—
926#435—171no—
927#435—171no—
928#435—171no—
929#435—171no—
930#435—171no—
931#435—171no—
932#435—171no—
933#435—171no—
934#435—171no—
935#435—171no—
936#435—171no—
937#435—171no—
938#435—171no—
939#435—171no—
940#435—171no—
941#435C2×D1711yescharacteristic
942#435C2×D1711yescharacteristic
943C8×D4—171no—
944C8×D4—171no—
945C8×D4—171no—
946C8×D4—171no—
947C8×D4—171no—
948C8×D4C2×D1711yescharacteristic
949#433—171no—
950#433—171no—
951#433—171no—
952#433—171no—
953#433—171no—
954#433—171no—
955#433—171no—
956#433—171no—
957#433—171no—
958#433—171no—
959#433—171no—
960#433—171no—
961#433—171no—
962#433—171no—
963#433C2×D1711yescharacteristic
964#433C2×D1711yescharacteristic
965#432—171no—
966#432—171no—
967#432—171no—
968#432—171no—
969#432—171no—
970#432—171no—
971#431—171no—
972#431—171no—
973#431—171no—
974#431—171no—
975#431—171no—
976#431—171no—
977#431—171no—
978#431C2×D1711yescharacteristic
979#424—171no—
980#424—171no—
981#424—171no—
982#424—171no—
983#424—171no—
984#424—171no—
985#424C2×D1711yescharacteristic
986#424C2×D1711yescharacteristic
987#423—171no—
988#423—171no—
989#423—171no—
990#423—171no—
991#423—171no—
992#423C2×D1711yescharacteristic
993C2×C4⋊C8—171no—
994#405—171no—
995#405—171no—
996#405—171no—
997#405—171no—
998#405—171no—
999#405—171no—
1000#405—171no—
1001#405—171no—
1002C4×M16—171no—
1003C4×M16—171no—
1004C4×M16—171no—
1005C4×M16—171no—
1006C2×#97—171no—
1007C2×#97—171no—
1008C2×C4×C8—171no—
1009C2×C17—41no—
1010C2×C17—41no—
1011C2×C17—41no—
1012C2×C17C4×2−1+411yescharacteristic
1013C2×C17C2×#56811yescharacteristic
1014C2×C17#357311yescharacteristic
1015D17—41no—
1016D17—41no—
1017C2×#41—171no—
1018C2×#41—171no—
1019C22×Q8—171no—
1020C2×M16—171no—
1021C2×M16—171no—
1022C2×M16—171no—
1023C2×M16—171no—
1024C2×M16—171no—
1025C2×M16—171no—
1026C2×M16—171no—
1027C2×M16—171no—
1028C2×M16C22×D1711yescharacteristic
1029C2×M16C22×D1711yescharacteristic
1030C2×M16C22×D1711yescharacteristic
1031C2×M16C22×D1711yescharacteristic
1032C22×C8—171no—
1033C22×C8—171no—
1034C22×C8—171no—
1035C22×C8—171no—
1036C22×C8—171no—
1037C22×C8—171no—
1038C22×C8C22×D1711yescharacteristic
1039C22×C8C22×D1711yescharacteristic
1040C4⋊Q8—171no—
1041C4⋊Q8—171no—
1042C4⋊Q8—171no—
1043C4⋊Q8—171no—
1044C4⋊Q8—171no—
1045C4⋊Q8—171no—
1046C4⋊Q8—171no—
1047C4⋊Q8—171no—
1048#126—171no—
1049#126—171no—
1050#126—171no—
1051#126—171no—
1052#126—171no—
1053#126—171no—
1054#126—171no—
1055#126—171no—
1056#126—171no—
1057#126—171no—
1058#126—171no—
1059#126—171no—
1060#126—171no—
1061#126—171no—
1062#126C4×D1711yescharacteristic
1063#126C4×D1711yescharacteristic
1064#125—171no—
1065#125—171no—
1066#125—171no—
1067#125—171no—
1068#125—171no—
1069#125—171no—
1070#125—171no—
1071#125—171no—
1072#125—171no—
1073#125—171no—
1074#125—171no—
1075#125—171no—
1076#125—171no—
1077#125—171no—
1078#125—171no—
1079#125C4×D1711yescharacteristic
1080#124—171no—
1081#124—171no—
1082#124—171no—
1083#124—171no—
1084#124—171no—
1085#124—171no—
1086#124—171no—
1087#124C4×D1711yescharacteristic
1088#123—171no—
1089#123—171no—
1090#123—171no—
1091#123—171no—
1092#123—171no—
1093#123—171no—
1094#123—171no—
1095#123—171no—
1096#123—171no—
1097#123—171no—
1098#123—171no—
1099#123—171no—
1100#123—171no—
1101#123—171no—
1102#123C4×D1711yescharacteristic
1103#123C4×D1711yescharacteristic
1104C22⋊Q8—171no—
1105C22⋊Q8—171no—
1106C22⋊Q8—171no—
1107C22⋊Q8—171no—
1108C22⋊Q8—171no—
1109C22⋊Q8—171no—
1110C22⋊Q8—171no—
1111C22⋊Q8—171no—
1112C22⋊Q8—171no—
1113C22⋊Q8—171no—
1114C22⋊Q8—171no—
1115C22⋊Q8—171no—
1116C22⋊Q8—171no—
1117C22⋊Q8—171no—
1118C22⋊Q8—171no—
1119C22⋊Q8—171no—
1120C22⋊Q8—171no—
1121C22⋊Q8—171no—
1122C22⋊Q8—171no—
1123C22⋊Q8—171no—
1124C22⋊Q8—171no—
1125C22⋊Q8—171no—
1126C22⋊Q8—171no—
1127C22⋊Q8C4×D1711yescharacteristic
1128#121—171no—
1129#121—171no—
1130#121—171no—
1131#121—171no—
1132#121—171no—
1133#121—171no—
1134#121—171no—
1135#121C4×D1711yescharacteristic
1136C4×Q8—171no—
1137C4×Q8—171no—
1138C4×Q8—171no—
1139C4×Q8—171no—
1140C4×Q8—171no—
1141C4×Q8—171no—
1142C4×Q8—171no—
1143C4×Q8—171no—
1144C4×Q8—171no—
1145C4×Q8—171no—
1146C4×Q8—171no—
1147C4×Q8—171no—
1148C4×Q8—171no—
1149C4×Q8—171no—
1150C4×Q8—171no—
1151C4×Q8C22×D1711yescharacteristic
1152C4×D4—171no—
1153C4×D4—171no—
1154C4×D4—171no—
1155C4×D4—171no—
1156C4×D4—171no—
1157C4×D4—171no—
1158C4×D4—171no—
1159C4×D4—171no—
1160C4×D4—171no—
1161C4×D4—171no—
1162C4×D4—171no—
1163C4×D4—171no—
1164C4×D4—171no—
1165C4×D4C22×D1711yescharacteristic
1166C4×D4C22×D1711yescharacteristic
1167C4×D4C22×D1711yescharacteristic
1168#117—171no—
1169#117—171no—
1170#117—171no—
1171#117—171no—
1172#117—171no—
1173#117—171no—
1174#117—171no—
1175#117—171no—
1176#117—171no—
1177#117—171no—
1178#117—171no—
1179#117—171no—
1180#117C22×D1711yescharacteristic
1181#117C22×D1711yescharacteristic
1182C2×C4⋊C4—171no—
1183C2×C4⋊C4—171no—
1184C2×C4⋊C4—171no—
1185C2×C42—171no—
1186C2×C42—171no—
1187C2×C42—171no—
1188C2×C42—171no—
1189C2×C42—171no—
1190C2×C42—171no—
1191C2×C42C22×D1711yescharacteristic
1192C4⋊C8—171no—
1193C4⋊C8—171no—
1194C4⋊C8—171no—
1195C4⋊C8—171no—
1196C4⋊C8—171no—
1197C4⋊C8—171no—
1198C4⋊C8—171no—
1199C4⋊C8—171no—
1200C4⋊C8—171no—
1201C4⋊C8—171no—
1202C4⋊C8—171no—
1203C4⋊C8—171no—
1204C4⋊C8—171no—
1205C4⋊C8—171no—
1206C4⋊C8—171no—
1207C4⋊C8—171no—
1208C4⋊C8—171no—
1209C4⋊C8—171no—
1210C4⋊C8—171no—
1211C4⋊C8—171no—
1212C4⋊C8—171no—
1213C4⋊C8—171no—
1214C4⋊C8—171no—
1215C4⋊C8—171no—
1216C4⋊C8—171no—
1217C4⋊C8—171no—
1218C4⋊C8—171no—
1219C4⋊C8—171no—
1220C4⋊C8—171no—
1221C4⋊C8—171no—
1222C4⋊C8C22×D1711yescharacteristic
1223C4⋊C8C22×D1711yescharacteristic
1224C4⋊C8C22×D1711yescharacteristic
1225C4⋊C8C22×D1711yescharacteristic
1226C4⋊C8C22×D1711yescharacteristic
1227C4⋊C8C22×D1711yescharacteristic
1228C4⋊C8C22×D1711yescharacteristic
1229C4⋊C8C22×D1711yescharacteristic
1230C4⋊C8C22×D1711yescharacteristic
1231C4⋊C8C22×D1711yescharacteristic
1232C22⋊C8—171no—
1233C22⋊C8—171no—
1234C22⋊C8—171no—
1235C22⋊C8—171no—
1236C22⋊C8—171no—
1237C22⋊C8—171no—
1238C22⋊C8—171no—
1239C22⋊C8—171no—
1240C22⋊C8—171no—
1241C22⋊C8—171no—
1242C22⋊C8—171no—
1243C22⋊C8—171no—
1244C22⋊C8—171no—
1245C22⋊C8—171no—
1246C22⋊C8C22×D1711yescharacteristic
1247C22⋊C8C22×D1711yescharacteristic
1248C22⋊C8C22×D1711yescharacteristic
1249C22⋊C8C22×D1711yescharacteristic
1250C22⋊C8C22×D1711yescharacteristic
1251C22⋊C8C22×D1711yescharacteristic
1252#97—171no—
1253#97—171no—
1254#97—171no—
1255#97—171no—
1256#97—171no—
1257#97—171no—
1258#97—171no—
1259#97—171no—
1260#97—171no—
1261#97—171no—
1262#97—171no—
1263#97—171no—
1264#97—171no—
1265#97—171no—
1266#97—171no—
1267#97—171no—
1268#97—171no—
1269#97—171no—
1270#97C22×D1711yescharacteristic
1271#97C22×D1711yescharacteristic
1272C4×C8—171no—
1273C4×C8—171no—
1274C4×C8—171no—
1275C4×C8—171no—
1276C4×C8—171no—
1277C4×C8—171no—
1278C4×C8—171no—
1279C4×C8—171no—
1280C4×C8—171no—
1281C4×C8—171no—
1282C4×C8—171no—
1283C4×C8—171no—
1284C4×C8—171no—
1285C4×C8—171no—
1286C4×C8—171no—
1287C4×C8—171no—
1288C4×C8C22×D1711yescharacteristic
1289C4×C8C22×D1711yescharacteristic
1290C4×C8C22×D1711yescharacteristic
1291C4×C8C22×D1711yescharacteristic
1292C17#6034411yescharacteristic, complemented, Sylow
1293#41—682no—
1294#41—682no—
1295C2×Q8—171no—
1296C2×Q8—171no—
1297C2×Q8—171no—
1298C2×Q8—171no—
1299C2×Q8—171no—
1300C2×Q8—171no—
1301C2×Q8—171no—
1302C2×Q8—171no—
1303C2×Q8—171no—
1304C2×Q8—682no—
1305C2×Q8C2×C4×D1711yescharacteristic
1306C2×D4—171no—
1307C2×D4—171no—
1308C2×D4—171no—
1309C2×D4—171no—
1310C2×D4—171no—
1311C2×D4—171no—
1312C2×D4—171no—
1313C2×D4C2×C4×D1711yescharacteristic
1314C2×D4C2×C4×D1711yescharacteristic
1315C2×D4C2×C4×D1711yescharacteristic
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—171no—
1320C22×C4—171no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
1327C22×C4—171no—
1328C22×C4—171no—
1329C22×C4—171no—
1330C22×C4C2×C4×D1711yescharacteristic
1331C22×C4C2×C4×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335M16—41no—
1336M16—41no—
1337M16—41no—
1338M16—41no—
1339M16—342no—
1340M16—342no—
1341M16—681no—
1342M16—681no—
1343M16—681no—
1344M16—681no—
1345M16—681no—
1346M16—681no—
1347C2×C8—41no—
1348C2×C8—41no—
1349C2×C8—171no—
1350C2×C8—171no—
1351C2×C8—171no—
1352C2×C8—171no—
1353C2×C8—171no—
1354C2×C8—171no—
1355C2×C8—171no—
1356C2×C8—171no—
1357C2×C8—342no—
1358C2×C8—342no—
1359C2×C8—342no—
1360C2×C8—681no—
1361C2×C8—681no—
1362C2×C8—681no—
1363C2×C8C23×D1711yescharacteristic
1364C2×C8C23×D1711yescharacteristic
1365C2×C8C23×D1711yescharacteristic
1366C2×C8C23×D1711yescharacteristic
1367C2×C8C23×D1711yescharacteristic
1368C2×C8C23×D1711yescharacteristic
1369C2×C8C23×D1711yescharacteristic
1370C2×C8C23×D1711yescharacteristic
1371C4⋊C4—171no—
1372C4⋊C4—171no—
1373C4⋊C4—171no—
1374C4⋊C4—171no—
1375C4⋊C4—171no—
1376C4⋊C4—171no—
1377C4⋊C4—171no—
1378C4⋊C4—171no—
1379C4⋊C4—171no—
1380C4⋊C4—171no—
1381C4⋊C4—171no—
1382C4⋊C4—171no—
1383C4⋊C4—171no—
1384C4⋊C4—171no—
1385C4⋊C4—171no—
1386C4⋊C4—171no—
1387C4⋊C4—171no—
1388C4⋊C4—171no—
1389C4⋊C4—171no—
1390C4⋊C4—171no—
1391C4⋊C4—171no—
1392C4⋊C4—171no—
1393C4⋊C4—171no—
1394C4⋊C4—171no—
1395C4⋊C4—171no—
1396C4⋊C4—171no—
1397C4⋊C4—171no—
1398C4⋊C4—171no—
1399C4⋊C4—171no—
1400C4⋊C4—171no—
1401C4⋊C4—171no—
1402C4⋊C4—171no—
1403C4⋊C4—171no—
1404C4⋊C4—171no—
1405C4⋊C4—171no—
1406C4⋊C4—171no—
1407C4⋊C4—171no—
1408C4⋊C4—171no—
1409C4⋊C4—171no—
1410C4⋊C4—171no—
1411C4⋊C4—171no—
1412C4⋊C4—171no—
1413C4⋊C4—171no—
1414C4⋊C4—171no—
1415C4⋊C4—171no—
1416C4⋊C4—171no—
1417C4⋊C4C2×C4×D1711yescharacteristic
1418C4⋊C4C2×C4×D1711yescharacteristic
1419C4⋊C4C2×C4×D1711yescharacteristic
1420C4⋊C4C2×C4×D1711yescharacteristic
1421C4⋊C4C2×C4×D1711yescharacteristic
1422C4⋊C4C2×C4×D1711yescharacteristic
1423C4⋊C4C2×C4×D1711yescharacteristic
1424C4⋊C4C2×C4×D1711yescharacteristic
1425C4⋊C4C2×C4×D1711yescharacteristic
1426C4⋊C4C2×C4×D1711yescharacteristic
1427C22⋊C4—171no—
1428C22⋊C4—171no—
1429C22⋊C4—171no—
1430C22⋊C4—171no—
1431C22⋊C4—171no—
1432C22⋊C4—171no—
1433C22⋊C4—171no—
1434C22⋊C4—171no—
1435C22⋊C4—171no—
1436C22⋊C4—171no—
1437C22⋊C4—171no—
1438C22⋊C4—171no—
1439C22⋊C4—171no—
1440C22⋊C4—171no—
1441C22⋊C4—171no—
1442C22⋊C4—171no—
1443C22⋊C4—171no—
1444C22⋊C4—171no—
1445C22⋊C4—171no—
1446C22⋊C4—171no—
1447C22⋊C4—171no—
1448C22⋊C4—171no—
1449C22⋊C4—171no—
1450C22⋊C4—171no—
1451C22⋊C4—171no—
1452C22⋊C4—171no—
1453C22⋊C4C2×C4×D1711yescharacteristic
1454C22⋊C4C2×C4×D1711yescharacteristic
1455C22⋊C4C2×C4×D1711yescharacteristic
1456C22⋊C4C2×C4×D1711yescharacteristic
1457C22⋊C4C2×C4×D1711yescharacteristic
1458C22⋊C4C2×C4×D1711yescharacteristic
1459C22⋊C4C2×C4×D1711yescharacteristic
1460C22⋊C4C2×C4×D1711yescharacteristic
1461C22⋊C4C2×C4×D1711yescharacteristic
1462C22⋊C4C2×C4×D1711yescharacteristic
1463C42—171no—
1464C42—171no—
1465C42—171no—
1466C42—171no—
1467C42—171no—
1468C42—171no—
1469C42—171no—
1470C42—171no—
1471C42—171no—
1472C42—171no—
1473C42—171no—
1474C42—171no—
1475C42—171no—
1476C42—171no—
1477C42—171no—
1478C42—171no—
1479C42—171no—
1480C42—171no—
1481C42C2×C4×D1711yescharacteristic
1482C42C2×C4×D1711yescharacteristic
1483C42C23×D1711yescharacteristic
1484C42C23×D1711yescharacteristic
1485C42C23×D1711yescharacteristic
1486C42C23×D1711yescharacteristic
1487C23—171no—
1488C23—171no—
1489C23C22×C4×D1711yescharacteristic
1490C23C22×C4×D1711yescharacteristic
1491C23C22×C4×D1711yescharacteristic
1492Q8—41no—
1493Q8—342no—
1494Q8—342no—
1495Q8—342no—
1496Q8—681no—
1497Q8—681no—
1498Q8—681no—
1499Q8—681no—
1500Q8—681no—
1501Q8—681no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—342no—
1506D4—681no—
1507D4—681no—
1508D4—681no—
1509D4—681no—
1510D4—681no—
1511D4—681no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—171no—
1521C2×C4—171no—
1522C2×C4—171no—
1523C2×C4—171no—
1524C2×C4—171no—
1525C2×C4—171no—
1526C2×C4—171no—
1527C2×C4—171no—
1528C2×C4—171no—
1529C2×C4—171no—
1530C2×C4—171no—
1531C2×C4—171no—
1532C2×C4—171no—
1533C2×C4—171no—
1534C2×C4—342no—
1535C2×C4—342no—
1536C2×C4—342no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—681no—
1542C2×C4—681no—
1543C2×C4—681no—
1544C2×C4—681no—
1545C2×C4—681no—
1546C2×C4—681no—
1547C2×C4—681no—
1548C2×C4—681no—
1549C2×C4—681no—
1550C2×C4C22×C4×D1711yescharacteristic
1551C2×C4C22×C4×D1711yescharacteristic
1552C2×C4C22×C4×D1711yescharacteristic
1553C2×C4C22×C4×D1711yescharacteristic
1554C2×C4C22×C4×D1711yescharacteristic
1555C2×C4C22×C4×D1711yescharacteristic
1556C2×C4C22×C4×D1711yescharacteristic
1557C2×C4C22×C4×D1711yescharacteristic
1558C2×C4C22×C4×D1711yescharacteristic
1559C2×C4C22×C4×D1711yescharacteristic
1560C2×C4C22×C4×D1711yescharacteristic
1561C2×C4C24×D1711yescharacteristic
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—21no—
1568C8—21no—
1569C8—21no—
1570C8—172no—
1571C8—341no—
1572C8—341no—
1573C8—341no—
1574C8—341no—
1575C8—341no—
1576C8—341no—
1577C8—341no—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—341no—
1588C22—341no—
1589C22—341no—
1590C22—341no—
1591C22—341no—
1592C22—341no—
1593C22C23×C4×D1711yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—172no—
1606C4—341no—
1607C4—341no—
1608C4—341no—
1609C4—341no—
1610C4—341no—
1611C4—341no—
1612C4—341no—
1613C4—341no—
1614C4—341no—
1615C4—341no—
1616C4—341no—
1617C4—341no—
1618C4—341no—
1619C42−1+4×D1711yescharacteristic
1620C4#1176364411yescharacteristic
1621C2—41no—
1622C2—41no—
1623C2—41no—
1624C2—681no—
1625C2—681no—
1626C2#1454199511yescharacteristic
1627C2D17×#56811yescharacteristic
1628C2#1454349511yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2993C2
prime radical#11763386C4
cosocleC2×C4×C17C25
hypercenter#2993D17
hypocenterC17#60344
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2993

Complements

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

NH ≅ G/Ntype
2. #14537955C2semidirect
3. #14537952C2semidirect
4. #14537951C2semidirect
5. #14537948C2semidirect
6. #14537941C2semidirect
7. #14537931C2semidirect
8. #14537930C2semidirect
9. #14537912C2semidirect
10. #14537896C2semidirect
11. #14537883C2semidirect
12. #14537877C2semidirect
13. #14537876C2semidirect
14. #14537875C2semidirect
15. #14537871C2semidirect
16. #14537794C2semidirect
17. #14537783C2semidirect
18. #14537783C2semidirect
19. #14537782C2semidirect
20. #14537776C2semidirect
21. #14537772C2semidirect
22. #14537771C2semidirect
23. #14537763C2semidirect
24. #14537757C2semidirect
25. #14537747C2semidirect
26. #14537735C2semidirect
27. #14537730C2semidirect
28. #14537723C2semidirect
29. #14537720C2semidirect
30. #14537713C2semidirect
31. C17×#2993C2semidirect
772. #2993D17semidirect
1292. C17#60344semidirect

Maximal subgroups

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

subgroupindex
#145422132
#145379552
#145379522
#145379512
#145379482
#145379412
#145379312
#145379302
#145379122
#145378962
#145378832
#145378772
#145378762
#145378752
#145378712
#145377942
#145377832
#145377822
#145377762
#145377722
#145377712
#145377632
#145377572
#145377472
#145377352
#145377302
#145377232
#145377202
#145377132
C17×#29932
#6034417