Finite Group Databasebeta

← #17899003

Subgroups — #17899003

Order 4352.

1914 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542336C211yesmaximal, characteristic
2#14537801C211yesmaximal, characteristic, complemented
3#14537800C211yesmaximal, characteristic, complemented
4#14537790C211yesmaximal, characteristic, complemented
5#14537789C211yesmaximal, characteristic, complemented
6#14537786C211yesmaximal, characteristic, complemented
7#14537786C211yesmaximal, characteristic, complemented
8#14537781C211yesmaximal, characteristic, complemented
9#14537781C211yesmaximal, characteristic, complemented
10#14537770C211yesmaximal, characteristic, complemented
11#14537768C211yesmaximal, characteristic, complemented
12#14537765C211yesmaximal, characteristic, complemented
13#14537755C211yesmaximal, characteristic, complemented
14#14537754C211yesmaximal, characteristic, complemented
15#14537746C211yesmaximal, characteristic, complemented
16#14537744C211yesmaximal, characteristic, complemented
17#14537729C211yesmaximal, characteristic, complemented
18#14537715C211yesmaximal, characteristic, complemented
19#14537517C211yesmaximal, characteristic, complemented
20#14537513C211yesmaximal, characteristic, complemented
21#14537510C211yesmaximal, characteristic, complemented
22#14537482C211yesmaximal, characteristic, complemented
23#14537482C211yesmaximal, characteristic, complemented
24D17×#436C211yesmaximal, characteristic, complemented
25#14537447C211yesmaximal, characteristic, complemented
26#14537443C211yesmaximal, characteristic, complemented
27#14537440C211yesmaximal, characteristic, complemented
28#14537206C211yesmaximal, characteristic, complemented
29#14537201C211yesmaximal, characteristic, complemented
30#14537200C211yesmaximal, characteristic, complemented
31C17×#2967C211yesmaximal, characteristic, complemented
32C2×#10587593C2211yescharacteristic
33C2×#10587587C2211yescharacteristic
34C22×#63218C2211yescharacteristic
35C2×M16×D17C2211yescharacteristic
36C2×M16×D17C2211yescharacteristic
37C2×M16×D17C2211yescharacteristic
38#11763526C411yescharacteristic
39#11763521C411yescharacteristic
40#11763513C411yescharacteristic
41#11763510C411yescharacteristic
42#11763502C411yescharacteristic
43#11763496C411yescharacteristic
44#11763495C411yescharacteristic
45#11763491C411yescharacteristic
46#11763491C411yescharacteristic
47#11763489C411yescharacteristic
48#11763486C411yescharacteristic
49#11763484C411yescharacteristic
50#11763482C411yescharacteristic
51#11763457C411yescharacteristic
52#11763451C411yescharacteristic
53#11763448C411yescharacteristic
54#11763363C2211yescharacteristic
55#11763346C2211yescharacteristic
56#11763339C2211yescharacteristic
57#11763339C2211yescharacteristic
58#11763337C2211yescharacteristic
59#11763337C2211yescharacteristic
60#11763318C2211yescharacteristic
61#11763318C2211yescharacteristic
62C4×#63252C2211yescharacteristic
63#11763277C2211yescharacteristic
64C4×#63254C2211yescharacteristic
65C4×D4×D17C2211yescharacteristic
66C2×#10587558C2211yescharacteristic
67#117×D17C2211yescharacteristic
68#11762940C2211yescharacteristic, complemented
69#11762939C2211yescharacteristic, complemented
70#11762938C2211yescharacteristic, complemented
71#11762938C2211yescharacteristic, complemented
72#11762937C2211yescharacteristic, complemented
73#11762937C2211yescharacteristic, complemented
74#11762937C2211yescharacteristic, complemented
75#11762937C2211yescharacteristic, complemented
76Q8×#3622C2211yescharacteristic, complemented
77C8×Dic34C2211yescharacteristic, complemented
78#11762933C2211yescharacteristic, complemented
79#11762933C2211yescharacteristic, complemented
80#11762933C2211yescharacteristic, complemented
81#11762933C2211yescharacteristic, complemented
82#11762888C2211yescharacteristic
83#11762887C2211yescharacteristic
84#11762887C2211yescharacteristic, complemented
85#11762887C2211yescharacteristic, complemented
86#11762886C2211yescharacteristic
87#11762886C2211yescharacteristic, complemented
88#11762886C2211yescharacteristic, complemented
89#11762886C2211yescharacteristic, complemented
90#11762885C2211yescharacteristic
91#11762885C2211yescharacteristic
92#11762885C2211yescharacteristic
93#11762885C2211yescharacteristic, complemented
94#11762884C2211yescharacteristic
95#11762884C2211yescharacteristic
96#11762884C2211yescharacteristic
97#11762884C2211yescharacteristic, complemented
98#11762884C2211yescharacteristic, complemented
99#11762884C2211yescharacteristic, complemented
100#11762884C2211yescharacteristic, complemented
101#11762884C2211yescharacteristic, complemented
102#11762882C2211yescharacteristic
103#11762882C2211yescharacteristic, complemented
104#11762882C2211yescharacteristic, complemented
105#11762882C2211yescharacteristic, complemented
106#11762881C2211yescharacteristic
107#11762881C2211yescharacteristic, complemented
108#11762880C2211yescharacteristic, complemented
109#11762880C2211yescharacteristic, complemented
110#11762879C2211yescharacteristic
111#11762879C2211yescharacteristic, complemented
112#11762878C2211yescharacteristic, complemented
113#11762878C2211yescharacteristic, complemented
114#11762878C2211yescharacteristic, complemented
115#11762878C2211yescharacteristic, complemented
116#11762877C2211yescharacteristic, complemented
117#11762877C2211yescharacteristic, complemented
118C8×D68C2211yescharacteristic, complemented
119D4×#3622C2211yescharacteristic, complemented
120C8×C22⋊D17C2211yescharacteristic
121C8×C22⋊D17C2211yescharacteristic, complemented
122#11762872C2211yescharacteristic
123#11762872C2211yescharacteristic, complemented
124#11762871C2211yescharacteristic, complemented
125#11762871C2211yescharacteristic, complemented
126#11762870C2211yescharacteristic, complemented
127#11762870C2211yescharacteristic, complemented
128#11762869C2211yescharacteristic, complemented
129#11762869C2211yescharacteristic, complemented
130#11762869C2211yescharacteristic, complemented
131#11762869C2211yescharacteristic, complemented
132#11762867C2211yescharacteristic, complemented
133#11762867C2211yescharacteristic, complemented
134#11762865C2211yescharacteristic, complemented
135#11762864C2211yescharacteristic, complemented
136#11762864C2211yescharacteristic, complemented
137#11762863C2211yescharacteristic, complemented
138#11762863C2211yescharacteristic, complemented
139#11762862C2211yescharacteristic, complemented
140#11762861C2211yescharacteristic, complemented
141#11762860C2211yescharacteristic, complemented
142#11762860C2211yescharacteristic, complemented
143#11762859C2211yescharacteristic, complemented
144#11762859C2211yescharacteristic, complemented
145#11762834C2211yescharacteristic
146#11762834C2211yescharacteristic
147#11762834C2211yescharacteristic
148#11762834C2211yescharacteristic
149#11762831C2211yescharacteristic
150C4⋊C8×D17C2211yescharacteristic
151#11762774C2211yescharacteristic
152#11762774C2211yescharacteristic
153#11762771C2211yescharacteristic
154#11762771C2211yescharacteristic
155C22⋊C8×D17C2211yescharacteristic
156C22⋊C8×D17C2211yescharacteristic
157#11762767C2211yescharacteristic, complemented
158#11762766C2211yescharacteristic
159#11762766C2211yescharacteristic
160#11762766C2211yescharacteristic
161#11762766C2211yescharacteristic
162#11762766C2211yescharacteristic
163#11762766C2211yescharacteristic, complemented
164#11762766C2211yescharacteristic, complemented
165#11762766C2211yescharacteristic, complemented
166#11762765C2211yescharacteristic, complemented
167#11762765C2211yescharacteristic, complemented
168#11762764C2211yescharacteristic, complemented
169#11762763C2211yescharacteristic
170#11762763C2211yescharacteristic
171#11762763C2211yescharacteristic
172#11762763C2211yescharacteristic, complemented
173#11762763C2211yescharacteristic, complemented
174#11762763C2211yescharacteristic, complemented
175C4×#63223C2211yescharacteristic, complemented
176#11762761C2211yescharacteristic
177#11762761C2211yescharacteristic, complemented
178#11762761C2211yescharacteristic, complemented
179#11762761C2211yescharacteristic, complemented
180M16×Dic17C2211yescharacteristic, complemented
181M16×Dic17C2211yescharacteristic, complemented
182M16×Dic17C2211yescharacteristic, complemented
183C4×#63218C2211yescharacteristic, complemented
184C4×#63218C2211yescharacteristic, complemented
185C2×C8×Dic17C2211yescharacteristic, complemented
186C4×C8×D17C2211yescharacteristic
187C4×C8×D17C2211yescharacteristic, complemented
188C17×#529C2211yescharacteristic
189C17×#446C2211yescharacteristic, complemented
190C17×#446C2211yescharacteristic, complemented
191C17×#436C2211yescharacteristic
192C17×#436C2211yescharacteristic, complemented
193C17×#435C2211yescharacteristic
194C17×#435C2211yescharacteristic, complemented
195C17×#435C2211yescharacteristic, complemented
196C17×#435C2211yescharacteristic, complemented
197C17×#433C2211yescharacteristic, complemented
198C17×#433C2211yescharacteristic, complemented
199C17×#432C2211yescharacteristic, complemented
200C17×#405C2211yescharacteristic, complemented
201C17×#405C2211yescharacteristic, complemented
202C4×M16×C17C2211yescharacteristic, complemented
203C2×#63254C2×C411yescharacteristic
204C2×D4×D17C2×C411yescharacteristic
205C2×#63252C2×C411yescharacteristic
206C2×#63252C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C2×M16×C17C2311yescharacteristic
210C2×M16×C17C2311yescharacteristic
211C2×M16×C17C2311yescharacteristic
212C2×M16×C17C2311yescharacteristic
213C22×C8×C17C2311yescharacteristic
214C22×C8×C17C2311yescharacteristic
215C17×#126C2×C411yescharacteristic
216C17×#126C2×C411yescharacteristic
217C17×#125C2×C411yescharacteristic
218C17×#124C2×C411yescharacteristic
219C17×#123C2×C411yescharacteristic
220C17×#123C2×C411yescharacteristic
221C17×C22⋊Q8C2×C411yescharacteristic
222C17×#121C2×C411yescharacteristic
223C4×Q8×C17C2311yescharacteristic
224C4×D4×C17C2311yescharacteristic
225C4×D4×C17C2311yescharacteristic
226C4×D4×C17C2311yescharacteristic
227C17×#117C2311yescharacteristic
228C17×#117C2311yescharacteristic
229C2×C42×C17C2311yescharacteristic
230#10587633C2×C411yescharacteristic
231#10587632C2×C411yescharacteristic
232#10587632C2×C411yescharacteristic
233#10587630C2×C411yescharacteristic
234#10587625C2×C411yescharacteristic
235#10587625C2×C411yescharacteristic
236#10587625C2×C411yescharacteristic
237#10587625C2×C411yescharacteristic
238#10587623C2×C411yescharacteristic
239#10587623C2×C411yescharacteristic
240#10587621C2×C411yescharacteristic
241#10587621C2×C411yescharacteristic
242D4×Dic17C2×C411yescharacteristic
243D4×Dic17C2×C411yescharacteristic
244C4×C22⋊D17C2×C411yescharacteristic
245C4×C22⋊D17C2×C411yescharacteristic
246C4×C22⋊D17C2311yescharacteristic
247C4×C22⋊D17C2311yescharacteristic
248C4×C22⋊D17C2311yescharacteristic
249C4×C22⋊D17C2311yescharacteristic
250C4×C22⋊D17C2311yescharacteristic
251C4×C22⋊D17C2311yescharacteristic
252C2×#63227C2×C411yescharacteristic
253C2×#63227C2×C411yescharacteristic
254#10587612C2×C411yescharacteristic
255#10587612C2311yescharacteristic
256C2×#63225C2×C411yescharacteristic
257C2×#63225C2×C411yescharacteristic
258C2×C4×Dic17C2311yescharacteristic
259C2×C4×Dic17C2311yescharacteristic
260C2×#63223C2311yescharacteristic
261C2×#63223C2311yescharacteristic
262C2×#63223C2311yescharacteristic
263C2×#63223C2311yescharacteristic
264C22×#3622C2311yescharacteristic
265C22×#3622C2311yescharacteristic
266#10587593—24no—
267M16×D17—24no—
268M16×D17—24no—
269M16×D17—24no—
270#10587587—24no—
271C2×#63218—24no—
272C2×#63218C2311yescharacteristic
273C2×#63218C2311yescharacteristic
274C2×#63218C2311yescharacteristic
275C2×#63218C2311yescharacteristic
276C2×#63218C2311yescharacteristic
277C2×#63218C2311yescharacteristic
278C2×#63218C2311yescharacteristic
279C2×#63218C2311yescharacteristic
280C2×#63218C2311yescharacteristic
281C2×#63218C2311yescharacteristic
282C2×#63218C2311yescharacteristic
283C2×#63218C2311yescharacteristic
284C2×C8×D17C2311yescharacteristic
285C2×C8×D17C2311yescharacteristic
286C2×C8×D17C2311yescharacteristic
287C2×C8×D17C2311yescharacteristic
288C2×C8×D17C2311yescharacteristic
289C2×C8×D17C2311yescharacteristic
290C2×C8×D17C2311yescharacteristic
291C2×C8×D17C2311yescharacteristic
292#10587584C2×C411yescharacteristic
293#10587584C2×C411yescharacteristic
294#10587584C2×C411yescharacteristic
295#10587584C2×C411yescharacteristic
296#10587584C2×C411yescharacteristic
297#10587584C2×C411yescharacteristic
298#10587583C2×C411yescharacteristic
299#10587582C2×C411yescharacteristic
300#10587582C2×C411yescharacteristic
301#10587582C2×C411yescharacteristic
302#10587582C2×C411yescharacteristic
303#10587582C2×C411yescharacteristic
304#10587582C2×C411yescharacteristic
305#10587581C2×C411yescharacteristic
306#10587580C2×C411yescharacteristic
307#10587580C2×C411yescharacteristic
308#10587580C2×C411yescharacteristic
309#10587580C2×C411yescharacteristic
310#10587580C2×C411yescharacteristic
311#10587580C2×C411yescharacteristic
312#10587579C2×C411yescharacteristic
313#10587579C2×C411yescharacteristic
314#10587579C2×C411yescharacteristic
315#10587578C2×C411yescharacteristic
316#10587578C2×C411yescharacteristic
317#10587578C2×C411yescharacteristic
318C4⋊C4×D17C2×C411yescharacteristic
319C4⋊C4×D17C2×C411yescharacteristic
320C4⋊C4×D17C2×C411yescharacteristic
321#10587576C2×C411yescharacteristic
322#10587575C2×C411yescharacteristic
323#10587575C2×C411yescharacteristic
324#10587575C2×C411yescharacteristic
325#10587575C2×C411yescharacteristic
326#10587575C2×C411yescharacteristic
327#10587575C2×C411yescharacteristic
328#10587574C2×C411yescharacteristic
329#10587573C2×C411yescharacteristic
330#10587573C2×C411yescharacteristic
331#10587573C2×C411yescharacteristic
332#10587572C2×C411yescharacteristic
333#10587572C2×C411yescharacteristic
334#10587571C2×C411yescharacteristic
335#10587571C2×C411yescharacteristic
336#10587571C2×C411yescharacteristic
337#10587571C2×C411yescharacteristic
338#10587570C2×C411yescharacteristic
339#10587570C2×C411yescharacteristic
340#10587570C2×C411yescharacteristic
341#10587570C2×C411yescharacteristic
342#10587569C2×C411yescharacteristic
343#10587569C2×C411yescharacteristic
344#10587569C2×C411yescharacteristic
345#10587569C2×C411yescharacteristic
346#10587568C2×C411yescharacteristic
347#10587568C2×C411yescharacteristic
348#10587567C2×C411yescharacteristic
349#10587567C2×C411yescharacteristic
350#10587567C2×C411yescharacteristic
351#10587567C2×C411yescharacteristic
352#10587567C2×C411yescharacteristic
353#10587567C2×C411yescharacteristic
354#10587567C2×C411yescharacteristic
355#10587567C2×C411yescharacteristic
356C22⋊C4×D17C2×C411yescharacteristic
357C22⋊C4×D17C2×C411yescharacteristic
358C22⋊C4×D17C2×C411yescharacteristic
359C22⋊C4×D17C2×C411yescharacteristic
360#10587565C2×C411yescharacteristic
361#10587565C2×C411yescharacteristic
362#10587565C2×C411yescharacteristic
363#10587565C2×C411yescharacteristic
364#10587564C2×C411yescharacteristic
365#10587564C2×C411yescharacteristic
366#10587564C2×C411yescharacteristic
367#10587564C2×C411yescharacteristic
368#10587563C2×C411yescharacteristic
369#10587563C2×C411yescharacteristic
370#10587563C2×C411yescharacteristic
371#10587563C2×C411yescharacteristic
372C4×D68C2×C411yescharacteristic
373C4×D68C2311yescharacteristic
374C4×D68C2311yescharacteristic
375C4×D68C2311yescharacteristic
376#10587558C2×C411yescharacteristic
377#10587558C2×C411yescharacteristic
378#10587558C2×C411yescharacteristic
379#10587558C2×C411yescharacteristic
380#10587558C2×C411yescharacteristic
381#10587558C2×C411yescharacteristic
382#10587558C2311yescharacteristic
383#10587558C2311yescharacteristic
384#10587558C2311yescharacteristic
385#10587558C2311yescharacteristic
386#10587558C2311yescharacteristic
387#10587558C2311yescharacteristic
388C42×D17C2311yescharacteristic
389C42×D17C2311yescharacteristic
390C42×D17C2311yescharacteristic
391C42×D17C2311yescharacteristic
392C4×Dic34C2×C411yescharacteristic
393C4×Dic34C2311yescharacteristic
394C4×Dic34C2311yescharacteristic
395C4×Dic34C2311yescharacteristic
396C17×C4⋊C8C2311yescharacteristic
397C17×C4⋊C8C2311yescharacteristic
398C17×C4⋊C8C2311yescharacteristic
399C17×C4⋊C8C2311yescharacteristic
400C17×C4⋊C8C2311yescharacteristic
401C17×C4⋊C8C2311yescharacteristic
402C17×C22⋊C8C2311yescharacteristic
403C17×C22⋊C8C2311yescharacteristic
404C17×C22⋊C8C2311yescharacteristic
405C17×C22⋊C8C2311yescharacteristic
406C17×C22⋊C8C2311yescharacteristic
407C17×C22⋊C8C2311yescharacteristic
408C17×#97C2311yescharacteristic
409C17×#97C2311yescharacteristic
410C17×#97C2311yescharacteristic
411C17×#97C2311yescharacteristic
412C17×#97C2311yescharacteristic
413C17×#97C2311yescharacteristic
414C4×C8×C17C2311yescharacteristic
415C4×C8×C17C2311yescharacteristic
416C4×C8×C17C2311yescharacteristic
417C4×C8×C17C2311yescharacteristic
418C22⋊#3622C2311yescharacteristic
419C22⋊#3622C2311yescharacteristic
420C22⋊#3622C2311yescharacteristic
421C22⋊#3622C2311yescharacteristic
422C22⋊#3622C2311yescharacteristic
423C22⋊#3622C2311yescharacteristic
424#10587491C2311yescharacteristic
425#10587491C2311yescharacteristic
426#10587491C2311yescharacteristic
427#10587491C2311yescharacteristic
428#10587491C2311yescharacteristic
429#10587491C2311yescharacteristic
430#10587491C2311yescharacteristic
431#10587491C2311yescharacteristic
432#10587491C2311yescharacteristic
433#10587491C2311yescharacteristic
434#10587491C2311yescharacteristic
435#10587491C2311yescharacteristic
436#10587486C2311yescharacteristic
437#10587486C2311yescharacteristic
438#10587486C2311yescharacteristic
439#10587486C2311yescharacteristic
440#10587486C2311yescharacteristic
441#10587486C2311yescharacteristic
442#10587486C2311yescharacteristic
443#10587486C2311yescharacteristic
444#10587485C2311yescharacteristic
445#10587485C2311yescharacteristic
446#10587485C2311yescharacteristic
447#10587485C2311yescharacteristic
448#10587485C2311yescharacteristic
449#10587485C2311yescharacteristic
450#10587485C2311yescharacteristic
451#10587485C2311yescharacteristic
452#10587485C2311yescharacteristic
453#10587485C2311yescharacteristic
454#10587485C2311yescharacteristic
455#10587485C2311yescharacteristic
456C8×Dic17C2311yescharacteristic
457C8×Dic17C2311yescharacteristic
458C8×Dic17C2311yescharacteristic
459C8×Dic17C2311yescharacteristic
460C8×Dic17C2311yescharacteristic
461C8×Dic17C2311yescharacteristic
462C8×Dic17C2311yescharacteristic
463C8×Dic17C2311yescharacteristic
464C8×Dic17C2311yescharacteristic
465C8×Dic17C2311yescharacteristic
466C8×Dic17C2311yescharacteristic
467C8×Dic17C2311yescharacteristic
468C4⋊#3622C2311yescharacteristic
469C4⋊#3622C2311yescharacteristic
470C4⋊#3622C2311yescharacteristic
471C4⋊#3622C2311yescharacteristic
472C4⋊#3622C2311yescharacteristic
473C4⋊#3622C2311yescharacteristic
474#10587474C2311yescharacteristic
475#10587474C2311yescharacteristic
476#10587474C2311yescharacteristic
477#10587474C2311yescharacteristic
478C4×#3622C2311yescharacteristic
479C4×#3622C2311yescharacteristic
480C4×#3622C2311yescharacteristic
481C4×#3622C2311yescharacteristic
482C4×#3622C2311yescharacteristic
483C4×#3622C2311yescharacteristic
484C23×D17C22×C411yescharacteristic
485C23×D17C22×C411yescharacteristic
486C2×Q8×C17C22×C411yescharacteristic
487C2×D4×C17C22×C411yescharacteristic
488C2×D4×C17C22×C411yescharacteristic
489C2×D4×C17C22×C411yescharacteristic
490C22×C4×C17C22×C411yescharacteristic
491C22×C4×C17C22×C411yescharacteristic
492C22×C4×C17C2411yescharacteristic
493C22×C4×C17C2411yescharacteristic
494C22×C4×C17C2411yescharacteristic
495C2×C22⋊D17C22×C411yescharacteristic
496C2×C22⋊D17C22×C411yescharacteristic
497C2×C22⋊D17C22×C411yescharacteristic
498C2×C22⋊D17C22×C411yescharacteristic
499C2×C22⋊D17C22×C411yescharacteristic
500C2×C22⋊D17C22×C411yescharacteristic
501C2×C22⋊D17C22×C411yescharacteristic
502C2×C22⋊D17C22×C411yescharacteristic
503C22×Dic17C22×C411yescharacteristic
504C22×Dic17C22×C411yescharacteristic
505C22×Dic17C22×C411yescharacteristic
506C22×Dic17C22×C411yescharacteristic
507C22×Dic17C22×C411yescharacteristic
508C22×Dic17C22×C411yescharacteristic
509#63254—42no—
510D4×D17—42no—
511#63252—22no—
512#63252—22no—
513#63252—42no—
514C2×D68C22×C411yescharacteristic
515C2×D68C22×C411yescharacteristic
516C2×D68C22×C411yescharacteristic
517C2×D68C22×C411yescharacteristic
518C2×C4×D17—22no—
519C2×C4×D17—22no—
520C2×C4×D17—22no—
521C2×C4×D17—22no—
522C2×C4×D17C22×C411yescharacteristic
523C2×C4×D17C22×C411yescharacteristic
524C2×C4×D17C22×C411yescharacteristic
525C2×C4×D17C22×C411yescharacteristic
526C2×C4×D17C22×C411yescharacteristic
527C2×C4×D17C22×C411yescharacteristic
528C2×C4×D17C22×C411yescharacteristic
529C2×C4×D17C22×C411yescharacteristic
530C2×C4×D17C22×C411yescharacteristic
531C2×C4×D17C22×C411yescharacteristic
532C2×C4×D17C22×C411yescharacteristic
533C2×C4×D17C22×C411yescharacteristic
534C2×C4×D17C2411yescharacteristic
535C2×C4×D17C2411yescharacteristic
536C2×C4×D17C2411yescharacteristic
537C2×C4×D17C2411yescharacteristic
538C2×Dic34C22×C411yescharacteristic
539C2×Dic34C22×C411yescharacteristic
540C2×Dic34C22×C411yescharacteristic
541C2×Dic34C22×C411yescharacteristic
542M16×C17—22no—
543M16×C17—22no—
544M16×C17—22no—
545M16×C17—22no—
546C2×C8×C17—22no—
547C2×C8×C17—22no—
548C2×C8×C17C2411yescharacteristic
549C2×C8×C17C2411yescharacteristic
550C2×C8×C17C2411yescharacteristic
551C2×C8×C17C2411yescharacteristic
552C2×C8×C17C2411yescharacteristic
553C2×C8×C17C2411yescharacteristic
554C2×C8×C17C2411yescharacteristic
555C2×C8×C17C2411yescharacteristic
556C4⋊C4×C17C22×C411yescharacteristic
557C4⋊C4×C17C22×C411yescharacteristic
558C4⋊C4×C17C22×C411yescharacteristic
559C4⋊C4×C17C22×C411yescharacteristic
560C4⋊C4×C17C22×C411yescharacteristic
561C4⋊C4×C17C22×C411yescharacteristic
562C4⋊C4×C17C22×C411yescharacteristic
563C4⋊C4×C17C22×C411yescharacteristic
564C4⋊C4×C17C22×C411yescharacteristic
565C4⋊C4×C17C22×C411yescharacteristic
566C22⋊C4×C17C22×C411yescharacteristic
567C22⋊C4×C17C22×C411yescharacteristic
568C22⋊C4×C17C22×C411yescharacteristic
569C22⋊C4×C17C22×C411yescharacteristic
570C22⋊C4×C17C22×C411yescharacteristic
571C22⋊C4×C17C22×C411yescharacteristic
572C22⋊C4×C17C22×C411yescharacteristic
573C22⋊C4×C17C22×C411yescharacteristic
574C22⋊C4×C17C22×C411yescharacteristic
575C22⋊C4×C17C22×C411yescharacteristic
576C42×C17C22×C411yescharacteristic
577C42×C17C22×C411yescharacteristic
578C42×C17C2411yescharacteristic
579C42×C17C2411yescharacteristic
580C42×C17C2411yescharacteristic
581C42×C17C2411yescharacteristic
582C22⋊Dic17C22×C411yescharacteristic
583C22⋊Dic17C22×C411yescharacteristic
584C22⋊Dic17C22×C411yescharacteristic
585C22⋊Dic17C22×C411yescharacteristic
586C22⋊Dic17C22×C411yescharacteristic
587C22⋊Dic17C22×C411yescharacteristic
588C22⋊Dic17C22×C411yescharacteristic
589C22⋊Dic17C22×C411yescharacteristic
590#63227C22×C411yescharacteristic
591#63227C22×C411yescharacteristic
592#63227C22×C411yescharacteristic
593#63227C22×C411yescharacteristic
594#63227C22×C411yescharacteristic
595#63227C22×C411yescharacteristic
596#63227C22×C411yescharacteristic
597#63227C22×C411yescharacteristic
598#63227C22×C411yescharacteristic
599#63227C22×C411yescharacteristic
600#63227C22×C411yescharacteristic
601#63227C22×C411yescharacteristic
602#63227C22×C411yescharacteristic
603#63227C22×C411yescharacteristic
604#63227C22×C411yescharacteristic
605#63227C22×C411yescharacteristic
606#63227C22×C411yescharacteristic
607#63227C22×C411yescharacteristic
608#63227C22×C411yescharacteristic
609#63227C22×C411yescharacteristic
610#63227C22×C411yescharacteristic
611#63227C22×C411yescharacteristic
612#63227C22×C411yescharacteristic
613#63227C22×C411yescharacteristic
614C4⋊Dic17C22×C411yescharacteristic
615C4⋊Dic17C22×C411yescharacteristic
616C4⋊Dic17C22×C411yescharacteristic
617C4⋊Dic17C22×C411yescharacteristic
618C4⋊Dic17C22×C411yescharacteristic
619C4⋊Dic17C22×C411yescharacteristic
620C4⋊Dic17C22×C411yescharacteristic
621C4⋊Dic17C22×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
632#63225C22×C411yescharacteristic
633#63225C22×C411yescharacteristic
634#63225C22×C411yescharacteristic
635#63225C22×C411yescharacteristic
636#63225C22×C411yescharacteristic
637#63225C22×C411yescharacteristic
638#63225C22×C411yescharacteristic
639#63225C22×C411yescharacteristic
640#63225C22×C411yescharacteristic
641#63225C22×C411yescharacteristic
642#63225C22×C411yescharacteristic
643#63225C22×C411yescharacteristic
644#63225C22×C411yescharacteristic
645#63225C22×C411yescharacteristic
646C4×Dic17C22×C411yescharacteristic
647C4×Dic17C22×C411yescharacteristic
648C4×Dic17C22×C411yescharacteristic
649C4×Dic17C22×C411yescharacteristic
650C4×Dic17C22×C411yescharacteristic
651C4×Dic17C22×C411yescharacteristic
652C4×Dic17C22×C411yescharacteristic
653C4×Dic17C22×C411yescharacteristic
654C4×Dic17C22×C411yescharacteristic
655C4×Dic17C22×C411yescharacteristic
656C4×Dic17C22×C411yescharacteristic
657C4×Dic17C22×C411yescharacteristic
658C4×Dic17C2411yescharacteristic
659C4×Dic17C2411yescharacteristic
660C4×Dic17C2411yescharacteristic
661C4×Dic17C2411yescharacteristic
662#63223—22no—
663#63223—22no—
664#63223—22no—
665#63223—22no—
666C2×#3622—22no—
667C2×#3622—22no—
668C2×#3622C2411yescharacteristic
669C2×#3622C2411yescharacteristic
670C2×#3622C2411yescharacteristic
671C2×#3622C2411yescharacteristic
672C2×#3622C2411yescharacteristic
673C2×#3622C2411yescharacteristic
674C2×#3622C2411yescharacteristic
675C2×#3622C2411yescharacteristic
676#63218—22no—
677#63218—22no—
678#63218—22no—
679#63218—22no—
680#63218—22no—
681#63218—22no—
682#63218—22no—
683#63218—22no—
684#63218—22no—
685#63218—22no—
686#63218—22no—
687#63218#4114yescomplemented
688C8×D17—22no—
689C8×D17—22no—
690C8×D17—22no—
691C8×D17—22no—
692C8×D17—22no—
693C8×D17—22no—
694C8×D17—22no—
695C8×D17#4114yescomplemented
696#60217—171nomaximal, Sylow
697C23×C17C23×C411yescharacteristic
698C23×C17C23×C411yescharacteristic
699C23×C17C23×C411yescharacteristic
700C22×D17—22no—
701C22×D17—22no—
702C22×D17—41no—
703C22×D17—41no—
704C22×D17—41no—
705C22×D17—41no—
706C22×D17C23×C411yescharacteristic
707C22×D17C23×C411yescharacteristic
708C22×D17C23×C411yescharacteristic
709C22×D17C23×C411yescharacteristic
710Q8×C17—41no—
711D4×C17—41no—
712D4×C17—41no—
713D4×C17—41no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—41no—
721C2×C4×C17—41no—
722C2×C4×C17C23×C411yescharacteristic
723C2×C4×C17C23×C411yescharacteristic
724C2×C4×C17C23×C411yescharacteristic
725C2×C4×C17C23×C411yescharacteristic
726C2×C4×C17C23×C411yescharacteristic
727C2×C4×C17C23×C411yescharacteristic
728C2×C4×C17C23×C411yescharacteristic
729C2×C4×C17C23×C411yescharacteristic
730C2×C4×C17C23×C411yescharacteristic
731C2×C4×C17C23×C411yescharacteristic
732C2×C4×C17C23×C411yescharacteristic
733C2×C4×C17C2511yescharacteristic
734C22⋊D17—22no—
735C22⋊D17—22no—
736C22⋊D17—22no—
737C22⋊D17—22no—
738C22⋊D17—41no—
739C22⋊D17—41no—
740C22⋊D17—41no—
741C22⋊D17—41no—
742C2×Dic17—22no—
743C2×Dic17—22no—
744C2×Dic17—22no—
745C2×Dic17—41no—
746C2×Dic17—41no—
747C2×Dic17—41no—
748C2×Dic17C23×C411yescharacteristic
749C2×Dic17C23×C411yescharacteristic
750C2×Dic17C23×C411yescharacteristic
751C2×Dic17C23×C411yescharacteristic
752C2×Dic17C23×C411yescharacteristic
753C2×Dic17C23×C411yescharacteristic
754C2×Dic17C23×C411yescharacteristic
755C2×Dic17C23×C411yescharacteristic
756C2×Dic17C23×C411yescharacteristic
757C2×Dic17C23×C411yescharacteristic
758C2×Dic17C23×C411yescharacteristic
759C2×Dic17C23×C411yescharacteristic
760D68—22no—
761D68—41no—
762D68—41no—
763D68—41no—
764C4×D17—22no—
765C4×D17—22no—
766C4×D17—21no—
767C4×D17—21no—
768C4×D17—21no—
769C4×D17—21no—
770C4×D17—21no—
771C4×D17—21no—
772C4×D17—22no—
773C4×D17—22no—
774C4×D17—22no—
775C4×D17—22no—
776C4×D17—41no—
777C4×D17—41no—
778C4×D17—41no—
779C4×D17—41no—
780C4×D17—41no—
781C4×D17—41no—
782C4×D17C2×#4112yes—
783C4×D17C2×#4112yes—
784Dic34—22no—
785Dic34—22no—
786Dic34—22no—
787Dic34—41no—
788C8×C17—21no—
789C8×C17—21no—
790C8×C17—21no—
791C8×C17—21no—
792C8×C17—21no—
793C8×C17—21no—
794C8×C17C2×#4112yes—
795C8×C17C2×#4112yes—
796#3622—21no—
797#3622—21no—
798#3622—21no—
799#3622—21no—
800#3622—21no—
801#3622—21no—
802#3622C2×#4112yes—
803#3622C2×#4112yes—
804#3475—171no—
805#2971—171no—
806#2971—171no—
807#2969—171no—
808#2969—171no—
809#2969—171no—
810#2969—171no—
811#2969—171no—
812#2969—171no—
813#2967—171no—
814#2967—171no—
815#2967—171no—
816#2967D1711yescharacteristic, complemented
817#2966—171no—
818#2966—171no—
819#2965—171no—
820#2965—171no—
821#2962—171no—
822#2960—171no—
823D4×M16—171no—
824#2933—171no—
825#2933—171no—
826#2930—171no—
827#2930—171no—
828C2×#436—171no—
829#2925—171no—
830#2924—171no—
831#2924—171no—
832C4×#131—171no—
833#2873—171no—
834#2873—171no—
835C22×C17—21no—
836C22×C17—21no—
837C22×C17—21no—
838C22×C17—21no—
839C22×C17—21no—
840C22×C17—21no—
841C22×C17—21no—
842C22×C17—21no—
843C22×C17—21no—
844C22×C17C24×C411yescharacteristic
845C2×D17—21no—
846C2×D17—21no—
847C2×D17—21no—
848C2×D17—21no—
849C2×D17—21no—
850C2×D17—21no—
851C2×D17—21no—
852C2×D17—21no—
853C2×D17—21no—
854C2×D17—21no—
855C2×D17—21no—
856C2×D17—82no—
857C2×D17—82no—
858C2×D17C4×#4112yes—
859C4×C17—21no—
860C4×C17—21no—
861C4×C17—21no—
862C4×C17—21no—
863C4×C17—21no—
864C4×C17—21no—
865C4×C17—21no—
866C4×C17—21no—
867C4×C17—21no—
868C4×C17—21no—
869C4×C17—21no—
870C4×C17C22×#4111yescharacteristic
871C4×C17C22×#4111yescharacteristic
872Dic17—21no—
873Dic17—21no—
874Dic17—21no—
875Dic17—21no—
876Dic17—21no—
877Dic17—21no—
878Dic17—21no—
879Dic17—21no—
880Dic17—21no—
881Dic17—21no—
882Dic17C4×#4112yes—
883Dic17#56812yes—
884C2×#131—171no—
885C2×#131—171no—
886C22×M16—171no—
887C22×M16—171no—
888C22×M16—171no—
889C22×M16—171no—
890#556—171no—
891#555—171no—
892#554—171no—
893#553—171no—
894#553—171no—
895#552—171no—
896#552—171no—
897#552—171no—
898#552—171no—
899#551—171no—
900#551—171no—
901#551—171no—
902#551—171no—
903#547—171no—
904#546—171no—
905#546—171no—
906#533—171no—
907#529—171no—
908#529—171no—
909#529—171no—
910#529—171no—
911#529—171no—
912#529C2×D1711yescharacteristic
913#525—171no—
914#525—171no—
915C4×#41—171no—
916C4×#41—171no—
917C4×#41—171no—
918C2×C4×D4—171no—
919C2×#117—171no—
920C2×#117—171no—
921#446—171no—
922#446—171no—
923#446—171no—
924#446—171no—
925#446—171no—
926#446—171no—
927#446—171no—
928#446—171no—
929#446C2×D1711yescharacteristic, complemented
930#446C2×D1711yescharacteristic, complemented
931C8×Q8—171no—
932C8×Q8—171no—
933C8×Q8—171no—
934C8×Q8—171no—
935C8×Q8—171no—
936C8×Q8—171no—
937#436—171no—
938#436—171no—
939#436—171no—
940#436—171no—
941#436—171no—
942#436—171no—
943#436—171no—
944#436—171no—
945#436—171no—
946#436—171no—
947#436—171no—
948#436—171no—
949#436—171no—
950#436—171no—
951#436—171no—
952#436—171no—
953#436—171no—
954#436—171no—
955#436—171no—
956#436—171no—
957#436C2×D1711yescharacteristic
958#436C2×D1711yescharacteristic, complemented
959#435—171no—
960#435—171no—
961#435—171no—
962#435—171no—
963#435—171no—
964#435—171no—
965#435—171no—
966#435—171no—
967#435—171no—
968#435—171no—
969#435—171no—
970#435—171no—
971#435—171no—
972#435—171no—
973#435—171no—
974#435—171no—
975#435C2×D1711yescharacteristic
976#435C2×D1711yescharacteristic, complemented
977#435C2×D1711yescharacteristic, complemented
978#435C2×D1711yescharacteristic, complemented
979C8×D4—171no—
980C8×D4—171no—
981C8×D4—171no—
982C8×D4—171no—
983C8×D4—171no—
984C8×D4—171no—
985#433—171no—
986#433—171no—
987#433—171no—
988#433—171no—
989#433—171no—
990#433—171no—
991#433—171no—
992#433—171no—
993#433—171no—
994#433—171no—
995#433C2×D1711yescharacteristic, complemented
996#433C2×D1711yescharacteristic, complemented
997#432—171no—
998#432—171no—
999#432—171no—
1000#432—171no—
1001#432—171no—
1002#432C2×D1711yescharacteristic, complemented
1003#431—171no—
1004#431—171no—
1005#431—171no—
1006#431—171no—
1007#431—171no—
1008#431—171no—
1009#424—171no—
1010#424—171no—
1011#424—171no—
1012#424—171no—
1013#423—171no—
1014C2×C4⋊C8—171no—
1015#408—171no—
1016#408—171no—
1017#407—171no—
1018#407—171no—
1019C2×C22⋊C8—171no—
1020C2×C22⋊C8—171no—
1021#405—171no—
1022#405—171no—
1023#405—171no—
1024#405—171no—
1025#405—171no—
1026#405—171no—
1027#405—171no—
1028#405—171no—
1029#405—171no—
1030#405—171no—
1031#405—171no—
1032#405—171no—
1033#405—171no—
1034#405—171no—
1035#405—171no—
1036#405—171no—
1037#405—171no—
1038#405—171no—
1039#405C2×D1711yescharacteristic, complemented
1040#405C2×D1711yescharacteristic, complemented
1041C4×M16—171no—
1042C4×M16—171no—
1043C4×M16—171no—
1044C4×M16—171no—
1045C4×M16—171no—
1046C4×M16—171no—
1047C4×M16—171no—
1048C4×M16—171no—
1049C4×M16—171no—
1050C4×M16—171no—
1051C4×M16C2×D1711yescharacteristic, complemented
1052C2×C4×C8—171no—
1053C2×C4×C8—171no—
1054C2×C4×C8—171no—
1055C2×C17—41no—
1056C2×C17—41no—
1057C2×C17—41no—
1058C2×C17C2×C4×#4111yescharacteristic
1059C2×C17C2×#56811yescharacteristic
1060C2×C17#357311yescharacteristic
1061D17—22no—
1062D17—41no—
1063D17—41no—
1064D17—41no—
1065C2×#41—171no—
1066C2×#41—171no—
1067C2×#41—171no—
1068C22×D4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071#131—344no—
1072#131—344no—
1073C2×M16—171no—
1074C2×M16—171no—
1075C2×M16—171no—
1076C2×M16—171no—
1077C2×M16—171no—
1078C2×M16—171no—
1079C2×M16—171no—
1080C2×M16—171no—
1081C2×M16—171no—
1082C2×M16—171no—
1083C2×M16—171no—
1084C2×M16—171no—
1085C2×M16—171no—
1086C2×M16—171no—
1087C2×M16—171no—
1088C2×M16—171no—
1089C2×M16—344no—
1090C2×M16—344no—
1091C2×M16—344no—
1092C2×M16—344no—
1093C2×M16C22×D1711yescharacteristic
1094C2×M16C22×D1711yescharacteristic
1095C2×M16C22×D1711yescharacteristic
1096C2×M16C22×D1711yescharacteristic
1097C22×C8—171no—
1098C22×C8—171no—
1099C22×C8—171no—
1100C22×C8—171no—
1101C22×C8—171no—
1102C22×C8—171no—
1103C22×C8—171no—
1104C22×C8—171no—
1105C22×C8—171no—
1106C22×C8—171no—
1107C22×C8C22×D1711yescharacteristic
1108C22×C8C22×D1711yescharacteristic
1109C4⋊Q8—171no—
1110C4⋊Q8—171no—
1111#126—171no—
1112#126—171no—
1113#126—171no—
1114#126—171no—
1115#126—171no—
1116#126—171no—
1117#126—171no—
1118#126—171no—
1119#126—171no—
1120#126—171no—
1121#126C4×D1711yescharacteristic
1122#126C4×D1711yescharacteristic
1123#125—171no—
1124#125—171no—
1125#125—171no—
1126#125—171no—
1127#125—171no—
1128#125—171no—
1129#125—171no—
1130#125C4×D1711yescharacteristic
1131#124—171no—
1132#124—171no—
1133#124—171no—
1134#124—171no—
1135#124—171no—
1136#124C4×D1711yescharacteristic
1137#123—171no—
1138#123—171no—
1139#123—171no—
1140#123—171no—
1141#123—171no—
1142#123—171no—
1143#123—171no—
1144#123—171no—
1145#123—171no—
1146#123—171no—
1147#123—171no—
1148#123—171no—
1149#123—171no—
1150#123—171no—
1151#123C4×D1711yescharacteristic
1152#123C4×D1711yescharacteristic
1153C22⋊Q8—171no—
1154C22⋊Q8—171no—
1155C22⋊Q8—171no—
1156C22⋊Q8—171no—
1157C22⋊Q8—171no—
1158C22⋊Q8—171no—
1159C22⋊Q8—171no—
1160C22⋊Q8—171no—
1161C22⋊Q8—171no—
1162C22⋊Q8—171no—
1163C22⋊Q8—171no—
1164C22⋊Q8—171no—
1165C22⋊Q8—171no—
1166C22⋊Q8C4×D1711yescharacteristic
1167#121—171no—
1168#121—171no—
1169#121—171no—
1170#121—171no—
1171#121—171no—
1172#121—171no—
1173#121—171no—
1174#121—171no—
1175#121—171no—
1176#121C4×D1711yescharacteristic
1177#120—171no—
1178#120—171no—
1179#120—171no—
1180#120—171no—
1181C4×Q8—171no—
1182C4×Q8—171no—
1183C4×Q8—171no—
1184C4×Q8—171no—
1185C4×Q8—171no—
1186C4×Q8—171no—
1187C4×Q8—171no—
1188C4×Q8C22×D1711yescharacteristic
1189C4×D4—171no—
1190C4×D4—171no—
1191C4×D4—171no—
1192C4×D4—171no—
1193C4×D4—171no—
1194C4×D4—171no—
1195C4×D4—171no—
1196C4×D4—171no—
1197C4×D4—171no—
1198C4×D4—171no—
1199C4×D4—171no—
1200C4×D4—171no—
1201C4×D4—171no—
1202C4×D4—171no—
1203C4×D4—171no—
1204C4×D4—171no—
1205C4×D4—171no—
1206C4×D4—171no—
1207C4×D4—171no—
1208C4×D4—171no—
1209C4×D4—171no—
1210C4×D4—171no—
1211C4×D4—171no—
1212C4×D4—171no—
1213C4×D4—171no—
1214C4×D4C22×D1711yescharacteristic
1215C4×D4C22×D1711yescharacteristic
1216C4×D4C22×D1711yescharacteristic
1217#117—171no—
1218#117—171no—
1219#117—171no—
1220#117—171no—
1221#117—171no—
1222#117—171no—
1223#117—171no—
1224#117—171no—
1225#117—171no—
1226#117—171no—
1227#117—171no—
1228#117—171no—
1229#117—171no—
1230#117—171no—
1231#117—171no—
1232#117—171no—
1233#117—171no—
1234#117—171no—
1235#117—171no—
1236#117—171no—
1237#117—171no—
1238#117C22×D1711yescharacteristic
1239#117C22×D1711yescharacteristic
1240C2×C4⋊C4—171no—
1241C2×C4⋊C4—171no—
1242C2×C4⋊C4—171no—
1243C2×C4⋊C4—171no—
1244C2×C4⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—171no—
1250C2×C22⋊C4—171no—
1251C2×C42—171no—
1252C2×C42—171no—
1253C2×C42—171no—
1254C2×C42—171no—
1255C2×C42—171no—
1256C2×C42—171no—
1257C2×C42C22×D1711yescharacteristic
1258C4⋊C8—171no—
1259C4⋊C8—171no—
1260C4⋊C8—171no—
1261C4⋊C8—171no—
1262C4⋊C8—171no—
1263C4⋊C8—171no—
1264C4⋊C8—171no—
1265C4⋊C8—171no—
1266C4⋊C8—171no—
1267C4⋊C8—171no—
1268C4⋊C8—171no—
1269C4⋊C8—171no—
1270C4⋊C8—171no—
1271C4⋊C8—171no—
1272C4⋊C8—171no—
1273C4⋊C8—171no—
1274C4⋊C8—171no—
1275C4⋊C8—171no—
1276C4⋊C8C22×D1711yescharacteristic
1277C4⋊C8C22×D1711yescharacteristic
1278C4⋊C8C22×D1711yescharacteristic
1279C4⋊C8C22×D1711yescharacteristic
1280C4⋊C8C22×D1711yescharacteristic
1281C4⋊C8C22×D1711yescharacteristic
1282C22⋊C8—171no—
1283C22⋊C8—171no—
1284C22⋊C8—171no—
1285C22⋊C8—171no—
1286C22⋊C8—171no—
1287C22⋊C8—171no—
1288C22⋊C8—171no—
1289C22⋊C8—171no—
1290C22⋊C8—171no—
1291C22⋊C8—171no—
1292C22⋊C8—171no—
1293C22⋊C8—171no—
1294C22⋊C8—171no—
1295C22⋊C8—171no—
1296C22⋊C8—171no—
1297C22⋊C8—171no—
1298C22⋊C8—171no—
1299C22⋊C8—171no—
1300C22⋊C8C22×D1711yescharacteristic
1301C22⋊C8C22×D1711yescharacteristic
1302C22⋊C8C22×D1711yescharacteristic
1303C22⋊C8C22×D1711yescharacteristic
1304C22⋊C8C22×D1711yescharacteristic
1305C22⋊C8C22×D1711yescharacteristic
1306#97—171no—
1307#97—171no—
1308#97—171no—
1309#97—171no—
1310#97—171no—
1311#97—171no—
1312#97—171no—
1313#97—171no—
1314#97—171no—
1315#97—171no—
1316#97—171no—
1317#97—171no—
1318#97C22×D1711yescharacteristic
1319#97C22×D1711yescharacteristic
1320#97C22×D1711yescharacteristic
1321#97C22×D1711yescharacteristic
1322#97C22×D1711yescharacteristic
1323#97C22×D1711yescharacteristic
1324C4×C8—171no—
1325C4×C8—171no—
1326C4×C8—171no—
1327C4×C8—171no—
1328C4×C8—171no—
1329C4×C8—171no—
1330C4×C8—171no—
1331C4×C8—171no—
1332C4×C8—171no—
1333C4×C8—171no—
1334C4×C8—171no—
1335C4×C8—171no—
1336C4×C8—171no—
1337C4×C8—171no—
1338C4×C8—171no—
1339C4×C8—171no—
1340C4×C8—171no—
1341C4×C8—171no—
1342C4×C8C22×D1711yescharacteristic
1343C4×C8C22×D1711yescharacteristic
1344C4×C8C22×D1711yescharacteristic
1345C4×C8C22×D1711yescharacteristic
1346C17#6021711yescharacteristic, complemented, Sylow
1347C24—171no—
1348C24—171no—
1349#41—342no—
1350#41—342no—
1351#41—682no—
1352#41—682no—
1353C2×Q8—171no—
1354C2×Q8—171no—
1355C2×Q8—171no—
1356C2×Q8—171no—
1357C2×Q8C2×C4×D1711yescharacteristic
1358C2×D4—171no—
1359C2×D4—171no—
1360C2×D4—171no—
1361C2×D4—171no—
1362C2×D4—171no—
1363C2×D4—171no—
1364C2×D4—171no—
1365C2×D4—171no—
1366C2×D4—171no—
1367C2×D4—171no—
1368C2×D4—171no—
1369C2×D4—171no—
1370C2×D4—682no—
1371C2×D4C2×C4×D1711yescharacteristic
1372C2×D4C2×C4×D1711yescharacteristic
1373C2×D4C2×C4×D1711yescharacteristic
1374C22×C4—171no—
1375C22×C4—171no—
1376C22×C4—171no—
1377C22×C4—171no—
1378C22×C4—171no—
1379C22×C4—171no—
1380C22×C4—171no—
1381C22×C4—171no—
1382C22×C4—171no—
1383C22×C4—171no—
1384C22×C4—171no—
1385C22×C4—171no—
1386C22×C4—171no—
1387C22×C4—171no—
1388C22×C4—171no—
1389C22×C4—171no—
1390C22×C4—171no—
1391C22×C4—171no—
1392C22×C4—171no—
1393C22×C4—171no—
1394C22×C4—171no—
1395C22×C4—171no—
1396C22×C4—342no—
1397C22×C4—342no—
1398C22×C4—342no—
1399C22×C4—342no—
1400C22×C4C2×C4×D1711yescharacteristic
1401C22×C4C2×C4×D1711yescharacteristic
1402C22×C4C23×D1711yescharacteristic
1403C22×C4C23×D1711yescharacteristic
1404C22×C4C23×D1711yescharacteristic
1405M16—22no—
1406M16—22no—
1407M16—22no—
1408M16—22no—
1409M16—174no—
1410M16—342no—
1411M16—342no—
1412M16—342no—
1413M16—342no—
1414M16—342no—
1415M16—342no—
1416M16—342no—
1417M16—342no—
1418M16—342no—
1419M16—342no—
1420M16—342no—
1421M16—342no—
1422M16—342no—
1423M16—342no—
1424M16—342no—
1425C2×C8—22no—
1426C2×C8—22no—
1427C2×C8—171no—
1428C2×C8—171no—
1429C2×C8—174no—
1430C2×C8—171no—
1431C2×C8—171no—
1432C2×C8—171no—
1433C2×C8—171no—
1434C2×C8—171no—
1435C2×C8—171no—
1436C2×C8—342no—
1437C2×C8—342no—
1438C2×C8—342no—
1439C2×C8—342no—
1440C2×C8—342no—
1441C2×C8—342no—
1442C2×C8—342no—
1443C2×C8—342no—
1444C2×C8—342no—
1445C2×C8C23×D1711yescharacteristic
1446C2×C8C23×D1711yescharacteristic
1447C2×C8C23×D1711yescharacteristic
1448C2×C8C23×D1711yescharacteristic
1449C2×C8C23×D1711yescharacteristic
1450C2×C8C23×D1711yescharacteristic
1451C2×C8C23×D1711yescharacteristic
1452C2×C8C23×D1711yescharacteristic
1453C4⋊C4—171no—
1454C4⋊C4—171no—
1455C4⋊C4—171no—
1456C4⋊C4—171no—
1457C4⋊C4—171no—
1458C4⋊C4—171no—
1459C4⋊C4—171no—
1460C4⋊C4—171no—
1461C4⋊C4—171no—
1462C4⋊C4—171no—
1463C4⋊C4—171no—
1464C4⋊C4—171no—
1465C4⋊C4—171no—
1466C4⋊C4—171no—
1467C4⋊C4—171no—
1468C4⋊C4—171no—
1469C4⋊C4—171no—
1470C4⋊C4—171no—
1471C4⋊C4—171no—
1472C4⋊C4—171no—
1473C4⋊C4—171no—
1474C4⋊C4—171no—
1475C4⋊C4—171no—
1476C4⋊C4—171no—
1477C4⋊C4—171no—
1478C4⋊C4—171no—
1479C4⋊C4—171no—
1480C4⋊C4—171no—
1481C4⋊C4—171no—
1482C4⋊C4—171no—
1483C4⋊C4—171no—
1484C4⋊C4—171no—
1485C4⋊C4C2×C4×D1711yescharacteristic
1486C4⋊C4C2×C4×D1711yescharacteristic
1487C4⋊C4C2×C4×D1711yescharacteristic
1488C4⋊C4C2×C4×D1711yescharacteristic
1489C4⋊C4C2×C4×D1711yescharacteristic
1490C4⋊C4C2×C4×D1711yescharacteristic
1491C4⋊C4C2×C4×D1711yescharacteristic
1492C4⋊C4C2×C4×D1711yescharacteristic
1493C4⋊C4C2×C4×D1711yescharacteristic
1494C4⋊C4C2×C4×D1711yescharacteristic
1495C22⋊C4—171no—
1496C22⋊C4—171no—
1497C22⋊C4—171no—
1498C22⋊C4—171no—
1499C22⋊C4—171no—
1500C22⋊C4—171no—
1501C22⋊C4—171no—
1502C22⋊C4—171no—
1503C22⋊C4—171no—
1504C22⋊C4—171no—
1505C22⋊C4—171no—
1506C22⋊C4—171no—
1507C22⋊C4—171no—
1508C22⋊C4—171no—
1509C22⋊C4—171no—
1510C22⋊C4—171no—
1511C22⋊C4—171no—
1512C22⋊C4—171no—
1513C22⋊C4—171no—
1514C22⋊C4—171no—
1515C22⋊C4—171no—
1516C22⋊C4—171no—
1517C22⋊C4—171no—
1518C22⋊C4—171no—
1519C22⋊C4—171no—
1520C22⋊C4—171no—
1521C22⋊C4—171no—
1522C22⋊C4—171no—
1523C22⋊C4—171no—
1524C22⋊C4—171no—
1525C22⋊C4—171no—
1526C22⋊C4—171no—
1527C22⋊C4C2×C4×D1711yescharacteristic
1528C22⋊C4C2×C4×D1711yescharacteristic
1529C22⋊C4C2×C4×D1711yescharacteristic
1530C22⋊C4C2×C4×D1711yescharacteristic
1531C22⋊C4C2×C4×D1711yescharacteristic
1532C22⋊C4C2×C4×D1711yescharacteristic
1533C22⋊C4C2×C4×D1711yescharacteristic
1534C22⋊C4C2×C4×D1711yescharacteristic
1535C22⋊C4C2×C4×D1711yescharacteristic
1536C22⋊C4C2×C4×D1711yescharacteristic
1537C42—171no—
1538C42—171no—
1539C42—171no—
1540C42—171no—
1541C42—171no—
1542C42—171no—
1543C42—171no—
1544C42—171no—
1545C42—171no—
1546C42—171no—
1547C42—171no—
1548C42—171no—
1549C42—171no—
1550C42—171no—
1551C42—171no—
1552C42—171no—
1553C42C2×C4×D1711yescharacteristic
1554C42C2×C4×D1711yescharacteristic
1555C42C23×D1711yescharacteristic
1556C42C23×D1711yescharacteristic
1557C42C23×D1711yescharacteristic
1558C42C23×D1711yescharacteristic
1559C23—171no—
1560C23—171no—
1561C23—171no—
1562C23—171no—
1563C23—342no—
1564C23—342no—
1565C23—681no—
1566C23—681no—
1567C23—681no—
1568C23—681no—
1569C23C22×C4×D1711yescharacteristic
1570C23C22×C4×D1711yescharacteristic
1571C23C22×C4×D1711yescharacteristic
1572Q8—41no—
1573Q8—342no—
1574Q8—342no—
1575Q8—342no—
1576Q8—681no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—342no—
1581D4—342no—
1582D4—342no—
1583D4—342no—
1584D4—342no—
1585D4—681no—
1586D4—681no—
1587D4—681no—
1588D4—681no—
1589D4—681no—
1590D4—681no—
1591D4—681no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—171no—
1601C2×C4—171no—
1602C2×C4—172no—
1603C2×C4—172no—
1604C2×C4—171no—
1605C2×C4—171no—
1606C2×C4—171no—
1607C2×C4—171no—
1608C2×C4—171no—
1609C2×C4—171no—
1610C2×C4—171no—
1611C2×C4—171no—
1612C2×C4—171no—
1613C2×C4—171no—
1614C2×C4—342no—
1615C2×C4—342no—
1616C2×C4—342no—
1617C2×C4—342no—
1618C2×C4—342no—
1619C2×C4—342no—
1620C2×C4—342no—
1621C2×C4—342no—
1622C2×C4—342no—
1623C2×C4—341no—
1624C2×C4—341no—
1625C2×C4—341no—
1626C2×C4—341no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—681no—
1630C2×C4—681no—
1631C2×C4—681no—
1632C2×C4—681no—
1633C2×C4—681no—
1634C2×C4—681no—
1635C2×C4—681no—
1636C2×C4—681no—
1637C2×C4—681no—
1638C2×C4C22×C4×D1711yescharacteristic
1639C2×C4C22×C4×D1711yescharacteristic
1640C2×C4C22×C4×D1711yescharacteristic
1641C2×C4C22×C4×D1711yescharacteristic
1642C2×C4C22×C4×D1711yescharacteristic
1643C2×C4C22×C4×D1711yescharacteristic
1644C2×C4C22×C4×D1711yescharacteristic
1645C2×C4C22×C4×D1711yescharacteristic
1646C2×C4C22×C4×D1711yescharacteristic
1647C2×C4C22×C4×D1711yescharacteristic
1648C2×C4C22×C4×D1711yescharacteristic
1649C2×C4C24×D1711yescharacteristic
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—172no—
1657C8—172no—
1658C8—341no—
1659C8—341no—
1660C8—341no—
1661C8—341no—
1662C8—341no—
1663C8—341no—
1664C8#41×D1712yes—
1665C8#41×D1712yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—172no—
1676C22—341no—
1677C22—341no—
1678C22—341no—
1679C22—341no—
1680C22—341no—
1681C22—341no—
1682C22—341no—
1683C22—341no—
1684C22—341no—
1685C22—341no—
1686C22—341no—
1687C22—1362no—
1688C22—1362no—
1689C22C23×C4×D1711yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—172no—
1702C4—172no—
1703C4—341no—
1704C4—341no—
1705C4—341no—
1706C4—341no—
1707C4—341no—
1708C4—341no—
1709C4—341no—
1710C4—341no—
1711C4—341no—
1712C4—341no—
1713C4C2×#41×D1711yescharacteristic
1714C4C2×#41×D1711yescharacteristic
1715C2—41no—
1716C2—41no—
1717C2—41no—
1718C2—342no—
1719C2—681no—
1720C2—681no—
1721C2—681no—
1722C2C4×#41×D1711yescharacteristic
1723C2D17×#56811yescharacteristic
1724C2#1454349711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2967C2
prime radical#14542336C2
cosocleC2×C4×C17C25
hypercenter#2967D17
hypocenterC17#60217
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2967

Complements

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

NH ≅ G/Ntype
2. #14537801C2semidirect
3. #14537800C2semidirect
4. #14537790C2semidirect
5. #14537789C2semidirect
6. #14537786C2semidirect
7. #14537786C2semidirect
8. #14537781C2semidirect
9. #14537781C2semidirect
10. #14537770C2semidirect
11. #14537768C2semidirect
12. #14537765C2semidirect
13. #14537755C2semidirect
14. #14537754C2semidirect
15. #14537746C2semidirect
16. #14537744C2semidirect
17. #14537729C2semidirect
18. #14537715C2semidirect
19. #14537517C2semidirect
20. #14537513C2semidirect
21. #14537510C2semidirect
22. #14537482C2semidirect
23. #14537482C2semidirect
24. D17×#436C2semidirect
25. #14537447C2semidirect
26. #14537443C2semidirect
27. #14537440C2semidirect
28. #14537206C2semidirect
29. #14537201C2semidirect
30. #14537200C2semidirect
31. C17×#2967C2semidirect
68. #11762940C22semidirect
69. #11762939C22semidirect
70. #11762938C22semidirect
71. #11762938C22semidirect
72. #11762937C22semidirect
73. #11762937C22semidirect
74. #11762937C22semidirect
75. #11762937C22semidirect
76. Q8×#3622C22semidirect
77. C8×Dic34C22semidirect
78. #11762933C22semidirect
79. #11762933C22semidirect
80. #11762933C22semidirect
81. #11762933C22semidirect
84. #11762887C22semidirect
85. #11762887C22semidirect
87. #11762886C22semidirect
88. #11762886C22semidirect
89. #11762886C22semidirect
93. #11762885C22semidirect
97. #11762884C22semidirect
98. #11762884C22semidirect
99. #11762884C22semidirect
100. #11762884C22semidirect
101. #11762884C22semidirect
103. #11762882C22semidirect
104. #11762882C22semidirect
105. #11762882C22semidirect
107. #11762881C22semidirect
108. #11762880C22semidirect
109. #11762880C22semidirect
111. #11762879C22semidirect
112. #11762878C22semidirect
113. #11762878C22semidirect
114. #11762878C22semidirect
115. #11762878C22semidirect
116. #11762877C22semidirect
117. #11762877C22semidirect
118. C8×D68C22semidirect
119. D4×#3622C22semidirect
121. C8×C22⋊D17C22semidirect
123. #11762872C22semidirect
124. #11762871C22semidirect
125. #11762871C22semidirect
126. #11762870C22semidirect
127. #11762870C22semidirect
128. #11762869C22semidirect
129. #11762869C22semidirect
130. #11762869C22semidirect
131. #11762869C22semidirect
132. #11762867C22semidirect
133. #11762867C22semidirect
134. #11762865C22semidirect
135. #11762864C22semidirect
136. #11762864C22semidirect
137. #11762863C22semidirect
138. #11762863C22semidirect
139. #11762862C22semidirect
140. #11762861C22semidirect
141. #11762860C22semidirect
142. #11762860C22semidirect
143. #11762859C22semidirect
144. #11762859C22semidirect
157. #11762767C22semidirect
163. #11762766C22semidirect
164. #11762766C22semidirect
165. #11762766C22semidirect
166. #11762765C22semidirect
167. #11762765C22semidirect
168. #11762764C22semidirect
172. #11762763C22semidirect
173. #11762763C22semidirect
174. #11762763C22semidirect
175. C4×#63223C22semidirect
177. #11762761C22semidirect
178. #11762761C22semidirect
179. #11762761C22semidirect
180. M16×Dic17C22semidirect
181. M16×Dic17C22semidirect
182. M16×Dic17C22semidirect
183. C4×#63218C22semidirect
184. C4×#63218C22semidirect
185. C2×C8×Dic17C22semidirect
187. C4×C8×D17C22semidirect
189. C17×#446C22semidirect
190. C17×#446C22semidirect
192. C17×#436C22semidirect
194. C17×#435C22semidirect
195. C17×#435C22semidirect
196. C17×#435C22semidirect
197. C17×#433C22semidirect
198. C17×#433C22semidirect
199. C17×#432C22semidirect
200. C17×#405C22semidirect
201. C17×#405C22semidirect
202. C4×M16×C17C22semidirect
687. #63218#41semidirect
695. C8×D17#41semidirect
816. #2967D17semidirect
929. #446C2×D17semidirect
930. #446C2×D17semidirect
958. #436C2×D17semidirect
976. #435C2×D17semidirect
977. #435C2×D17semidirect
978. #435C2×D17semidirect
995. #433C2×D17semidirect
996. #433C2×D17semidirect
1002. #432C2×D17semidirect
1039. #405C2×D17semidirect
1040. #405C2×D17semidirect
1051. C4×M16C2×D17semidirect
1346. C17#60217semidirect

Maximal subgroups

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

subgroupindex
#145423362
#145378012
#145378002
#145377902
#145377892
#145377862
#145377812
#145377702
#145377682
#145377652
#145377552
#145377542
#145377462
#145377442
#145377292
#145377152
#145375172
#145375132
#145375102
#145374822
D17×#4362
#145374472
#145374432
#145374402
#145372062
#145372012
#145372002
C17×#29672
#6021717