Finite Group Databasebeta

← #17203006

Subgroups — #17203006

Order 4352.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763322C211yesmaximal, characteristic, complemented
2C2×#11763277C211yesmaximal, characteristic, complemented
3#14532970C211yesmaximal, characteristic, complemented
4#14532889C211yesmaximal, characteristic, complemented
5#14532882C211yesmaximal, characteristic, complemented
6#14532801C211yesmaximal, characteristic, complemented
7#14532794C211yesmaximal, characteristic, complemented
8#14532704C211yesmaximal, characteristic, complemented
9#14532697C211yesmaximal, characteristic, complemented
10#14532601C211yesmaximal, characteristic, complemented
11#14532535C211yesmaximal, characteristic, complemented
12#14532457C211yesmaximal, characteristic, complemented
13#14532393C211yesmaximal, characteristic, complemented
14#14532321C211yesmaximal, characteristic, complemented
15#14532247C211yesmaximal, characteristic, complemented
16#14532168C211yesmaximal, characteristic, complemented
17#14532101C211yesmaximal, characteristic, complemented
18#14532069C211yesmaximal, characteristic, complemented
19#14532057C211yesmaximal, characteristic, complemented
20#14532023C211yesmaximal, characteristic, complemented
21#14532001C211yesmaximal, characteristic, complemented
22#14531311C211yesmaximal, characteristic, complemented
23#14531305C211yesmaximal, characteristic, complemented
24#14531296C211yesmaximal, characteristic, complemented
25#14531294C211yesmaximal, characteristic, complemented
26#14531289C211yesmaximal, characteristic, complemented
27#14531273C211yesmaximal, characteristic, complemented
28#14531222C211yesmaximal, characteristic, complemented
29#14531220C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2477C211yesmaximal, characteristic, complemented
32C22×#63256C2211yescharacteristic
33C22×#63252C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35#11763322—28no—
36C2×#10587580C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587580C2211yescharacteristic
39C2×#10587569C2211yescharacteristic
40C2×#10587632C2211yescharacteristic
41C2×#10587581C2211yescharacteristic
42C2×#10587616C2211yescharacteristic
43C2×#10587570C2211yescharacteristic
44C2×#10587625C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587568C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48#11763277—28no—
49C2×#10587573C2211yescharacteristic, complemented
50C2×#10587573C2211yescharacteristic, complemented
51C2×D4×Dic17C2211yescharacteristic
52C2×#10587579C2211yescharacteristic
53C2×#10587579C2211yescharacteristic
54C2×#10587579C2211yescharacteristic
55C2×#10587567C2211yescharacteristic
56C2×#10587567C2211yescharacteristic
57C2×#10587567C2211yescharacteristic
58C2×#10587567C2211yescharacteristic
59C2×#10587567C2211yescharacteristic
60C2×#10587567C2211yescharacteristic, complemented
61C2×#10587567C2211yescharacteristic, complemented
62C2×#10587567C2211yescharacteristic, complemented
63C2×#10587578C2211yescharacteristic
64C2×#10587578C2211yescharacteristic, complemented
65C2×#10587558C2211yescharacteristic
66C2×#10587558C2211yescharacteristic, complemented
67C2×C22⋊C4×D17C2211yescharacteristic
68C2×C22⋊C4×D17C2211yescharacteristic
69C22×C4×Dic17C2211yescharacteristic, complemented
70C2×C42×D17C2211yescharacteristic
71C2×C42×D17C2211yescharacteristic
72C2×C42×D17C2211yescharacteristic, complemented
73#11762750C2211yescharacteristic, complemented
74#11762750C2211yescharacteristic, complemented
75#11762744C2211yescharacteristic
76#11762743C2211yescharacteristic, complemented
77#11762743C2211yescharacteristic, complemented
78#11762739C2211yescharacteristic, complemented
79#11762736C2211yescharacteristic, complemented
80#11762735C2211yescharacteristic, complemented
81#11762733C2211yescharacteristic
82#11762733C2211yescharacteristic
83#11762732C2211yescharacteristic
84#11762732C2211yescharacteristic, complemented
85#11762729C2211yescharacteristic, complemented
86#11762728C2211yescharacteristic, complemented
87#11762727C2211yescharacteristic
88#11762727C2211yescharacteristic
89#11762727C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic
91#11762724C2211yescharacteristic
92#11762724C2211yescharacteristic
93#11762724C2211yescharacteristic, complemented
94#11762722C2211yescharacteristic
95#11762722C2211yescharacteristic, complemented
96#11762721C2211yescharacteristic
97#11762718C2211yescharacteristic
98#11762718C2211yescharacteristic
99#11762718C2211yescharacteristic, complemented
100#11762717C2211yescharacteristic
101#11762716C2211yescharacteristic, complemented
102#11762711C2211yescharacteristic
103#11762710C2211yescharacteristic
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic, complemented
106#11762706C2211yescharacteristic, complemented
107#11762704C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic
109#11762701C2211yescharacteristic, complemented
110#11762701C2211yescharacteristic, complemented
111#11762700C2211yescharacteristic, complemented
112#11762700C2211yescharacteristic, complemented
113#11762700C2211yescharacteristic, complemented
114#11762699C2211yescharacteristic
115#11762698C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic
117#11762697C2211yescharacteristic
118#11762696C2211yescharacteristic, complemented
119#11762695C2211yescharacteristic, complemented
120#11762694C2211yescharacteristic, complemented
121#11762693C2211yescharacteristic, complemented
122#11762690C2211yescharacteristic, complemented
123#11762690C2211yescharacteristic, complemented
124#11762688C2211yescharacteristic
125#11762688C2211yescharacteristic, complemented
126#11762687C2211yescharacteristic
127#11762687C2211yescharacteristic
128#11762687C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic, complemented
133#11762687C2211yescharacteristic, complemented
134#11762686C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762684C2211yescharacteristic, complemented
140#11762683C2211yescharacteristic
141#11762683C2211yescharacteristic
142#11762683C2211yescharacteristic
143#11762683C2211yescharacteristic
144#11762682C2211yescharacteristic
145#11762680C2211yescharacteristic
146#11762680C2211yescharacteristic, complemented
147#11762671C2211yescharacteristic
148#11762671C2211yescharacteristic, complemented
149#11762668C2211yescharacteristic
150#11762667C2211yescharacteristic, complemented
151#11762664C2211yescharacteristic
152C4⋊C4×Dic17C2211yescharacteristic, complemented
153#11762660C2211yescharacteristic, complemented
154#11762660C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic
157C22⋊C4×Dic17C2211yescharacteristic
158C22⋊C4×Dic17C2211yescharacteristic
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×C22⋊Dic17C2211yescharacteristic
163#11762656C2211yescharacteristic
164#11762656C2211yescharacteristic
165#11762656C2211yescharacteristic
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762654C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic
173#95×D17C2211yescharacteristic
174C2×C17×C22⋊Q8C2211yescharacteristic
175C2×C17×#117C2211yescharacteristic, complemented
176C17×#400C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic
178C17×#394C2211yescharacteristic
179C17×#393C2211yescharacteristic, complemented
180C17×#391C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic
182C17×#388C2211yescharacteristic, complemented
183C17×#387C2211yescharacteristic, complemented
184C17×#387C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic
186C17×#386C2211yescharacteristic
187C17×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C23×Dic17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C2×#63256—24no—
204C2×#63256—24no—
205C2×#63256—42no—
206C2×#63252—24no—
207C2×#63252—24no—
208C2×#63252—24no—
209C22×D68C2311yescharacteristic
210C22×D68C2311yescharacteristic
211C22×D68C2311yescharacteristic
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×C4×D17—24no—
215C22×C4×D17—24no—
216C22×C4×D17—42no—
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×Dic34C2311yescharacteristic
230C17×C22⋊Q8—24no—
231C17×#117—24no—
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C42×C17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257#10587632—24no—
258#10587625—24no—
259#10587623—24no—
260D4×Dic17—42no—
261#10587616—24no—
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×C4×Dic17—24no—
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325#10587581—24no—
326#10587580—24no—
327#10587580—24no—
328#10587580—24no—
329#10587579—24no—
330#10587579—24no—
331#10587579D418yescomplemented
332#10587578—24no—
333#10587578—42no—
334#10587573—24no—
335#10587573—24no—
336#10587570—24no—
337#10587569—24no—
338#10587568—24no—
339#10587568—24no—
340#10587567—24no—
341#10587567—24no—
342#10587567—24no—
343#10587567—24no—
344#10587567—24no—
345#10587567—24no—
346#10587567—24no—
347#10587567—42no—
348C22⋊C4×D17—24no—
349C22⋊C4×D17—24no—
350#10587558—24no—
351#10587558—24no—
352C42×D17—24no—
353C42×D17—24no—
354C42×D17—42no—
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17C2411yescharacteristic
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×Q8×C17—22no—
405C2×Q8×C17—22no—
406C2×Q8×C17—41no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—41no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—41no—
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—22no—
437C2×C22⋊D17—22no—
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17#4114yescomplemented
447C22×Dic17—22no—
448C22×Dic17—22no—
449C22×Dic17—22no—
450C22×Dic17—22no—
451C22×Dic17—22no—
452C22×Dic17—22no—
453C22×Dic17—22no—
454C22×Dic17—22no—
455C22×Dic17—41no—
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468#63256—416no—
469#63252—232no—
470C2×D68—22no—
471C2×D68—22no—
472C2×D68—22no—
473C2×D68—22no—
474C2×D68—22no—
475C2×D68—22no—
476C2×D68—22no—
477C2×D68—22no—
478C2×D68—22no—
479C2×D68—22no—
480C2×D68—22no—
481C2×D68—41no—
482C2×D68—41no—
483C2×D68—41no—
484C2×D68C2×D414yes—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—22no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—416no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17C2×D414yes—
519C2×C4×D17C2×D414yes—
520C2×C4×D17#4114yescomplemented
521C2×C4×D17#4114yescomplemented
522C2×Dic34—22no—
523C2×Dic34—22no—
524C2×Dic34—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—22no—
527C4⋊C4×C17—22no—
528C4⋊C4×C17—22no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17C2×D414yes—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—41no—
541C42×C17—22no—
542C42×C17—22no—
543C42×C17—41no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17#4114yescomplemented
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227C2×D414yes—
579#63227C2×D414yes—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—41no—
583C4⋊Dic17—41no—
584#63225—22no—
585#63225—22no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—41no—
596#63225—41no—
597#63225—41no—
598C4×Dic17—22no—
599C4×Dic17—22no—
600C4×Dic17—22no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—22no—
608C4×Dic17—22no—
609C4×Dic17—22no—
610C4×Dic17—41no—
611C4×Dic17C2×D414yes—
612#34732—171nomaximal, Sylow
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17C2×#4112yes—
626C23×C17C2×#4112yes—
627C23×C17C2511yescharacteristic
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—28no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—44no—
653C22×D17—44no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17C22×D412yes—
659C22×D17C22×D412yes—
660C22×D17C2×#4112yes—
661C22×D17C2×#4112yes—
662C22×D17C2×#4112yes—
663Q8×C17—44no—
664D4×C17—44no—
665C2×C4×C17—28no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
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—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—44no—
701C2×C4×C17C22×D412yes—
702C2×C4×C17C22×D412yes—
703C2×C4×C17C22×D412yes—
704C2×C4×C17C2×#4112yes—
705C2×C4×C17C2×#4112yes—
706C22⋊D17—28no—
707C22⋊D17—28no—
708C22⋊D17—44no—
709C22⋊D17—44no—
710C22⋊D17—44no—
711C22⋊D17—44no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—44no—
741C2×Dic17—44no—
742C2×Dic17—44no—
743C2×Dic17C22×D412yes—
744C2×Dic17C22×D412yes—
745C2×Dic17C2×#4112yes—
746C2×Dic17C2×#4112yes—
747C2×Dic17C2×#4112yes—
748C2×Dic17C2×#4112yes—
749C2×Dic17C2×#4112yes—
750C2×Dic17H(5,𝔽2)12yes—
751D68—28no—
752D68—44no—
753D68—44no—
754D68—44no—
755D68—44no—
756C4×D17—28no—
757C4×D17—28no—
758C4×D17—28no—
759C4×D17—28no—
760C4×D17—28no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764C4×D17—44no—
765C4×D17—44no—
766C4×D17—44no—
767C4×D17—44no—
768Dic34—28no—
769C2×#525—171no—
770C2×C4×#41—171no—
771#2477D1711yescharacteristic, complemented
772#2476—171no—
773#2471—171no—
774#2470—171no—
775#2465—171no—
776#2464—171no—
777#2458—171no—
778#2457—171no—
779#2450—171no—
780#2444—171no—
781#2438—171no—
782#2430—171no—
783#2424—171no—
784#2418—171no—
785#2411—171no—
786#2404—171no—
787#2398—171no—
788#2396—171no—
789#2392—171no—
790#2388—171no—
791C4×#123—171no—
792C4×#123—171no—
793C4×#121—171no—
794C4×#121—171no—
795C4×#120—171no—
796#2297—171no—
797#2290—171no—
798#2290—171no—
799C2×C4×C22⋊C4—171no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17C23×D411yescharacteristic
815C22×C17C22×#4111yescharacteristic
816C22×C17C22×#4111yescharacteristic
817C22×C17C22×#4111yescharacteristic
818C22×C17C22×#4111yescharacteristic
819C22×C17C2×H(5,𝔽2)11yescharacteristic
820C22×C17#58511yescharacteristic
821C2×D17—22no—
822C2×D17—22no—
823C2×D17—22no—
824C2×D17—22no—
825C2×D17—22no—
826C2×D17—22no—
827C2×D17—22no—
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—416no—
834C2×D17—41no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17#52514yes—
850C4×C17—22no—
851C4×C17—22no—
852C4×C17—22no—
853C4×C17—22no—
854C4×C17—22no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861C4×C17—41no—
862C4×C17—41no—
863Dic17—22no—
864Dic17—22no—
865Dic17—22no—
866Dic17—22no—
867Dic17—22no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17#54614yes—
875C22×#41—171no—
876C22×#41—171no—
877C24×C4—171no—
878#525—348no—
879C2×#123—171no—
880C2×#123—171no—
881C2×#123—171no—
882C2×#123—171no—
883C2×C22⋊Q8—171no—
884C2×C22⋊Q8C2×D1711yescharacteristic
885C2×#121—171no—
886C2×#121—171no—
887C2×#121—171no—
888C2×#121—171no—
889C2×#120—171no—
890C2×#120—171no—
891C2×#120—171no—
892C4×#41—348no—
893C2×C4×Q8—171no—
894C2×C4×Q8—171no—
895C2×C4×D4—171no—
896C2×C4×D4—171no—
897C2×C4×D4—171no—
898C2×C4×D4—171no—
899C2×C4×D4—171no—
900C2×C4×D4—171no—
901C2×C4×D4—171no—
902C2×C4×D4—171no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4—171no—
907C2×#117—171no—
908C2×#117—171no—
909C2×#117—171no—
910C2×#117—171no—
911C2×#117C2×D1711yescharacteristic, complemented
912C22×C22⋊C4—171no—
913C22×C22⋊C4—171no—
914C22×C42—171no—
915C22×C42—171no—
916C22×C42—171no—
917C22×C42—171no—
918#400—171no—
919#400—171no—
920#400C2×D1711yescharacteristic, complemented
921#399—171no—
922#398—171no—
923#398—171no—
924#398—171no—
925#397—171no—
926#397—171no—
927#397C2×D1711yescharacteristic
928#396—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#395—171no—
933#395—171no—
934#394—171no—
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394—171no—
940#394—171no—
941#394C2×D1711yescharacteristic
942#393—171no—
943#393—171no—
944#393—171no—
945#393C2×D1711yescharacteristic, complemented
946#392—171no—
947#392—171no—
948#392—171no—
949#392—171no—
950#391—171no—
951#391C2×D1711yescharacteristic, complemented
952#390—171no—
953#390—171no—
954#390—171no—
955#390—171no—
956#389—171no—
957#389—171no—
958#388—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388C2×D1711yescharacteristic
969#388C2×D1711yescharacteristic, complemented
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#387—171no—
976#387C2×D1711yescharacteristic, complemented
977#387C2×D1711yescharacteristic, complemented
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#386—171no—
992#386—171no—
993#386C2×D1711yescharacteristic
994#386C2×D1711yescharacteristic
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#385—171no—
1002#385—171no—
1003#385C2×D1711yescharacteristic, complemented
1004#381—171no—
1005#381—171no—
1006#380—171no—
1007#380—171no—
1008#379—171no—
1009C4×C4⋊C4—171no—
1010C4×C4⋊C4—171no—
1011C4×C4⋊C4—171no—
1012C4×C4⋊C4—171no—
1013C4×C22⋊C4—171no—
1014C4×C22⋊C4—171no—
1015C4×C22⋊C4—171no—
1016C4×C22⋊C4—171no—
1017C4×C22⋊C4—171no—
1018C4×C22⋊C4—171no—
1019C4×C22⋊C4—171no—
1020C4×C22⋊C4—171no—
1021C4×C22⋊C4—171no—
1022C4×C22⋊C4—171no—
1023C4×C22⋊C4—171no—
1024C4×C22⋊C4—171no—
1025C4×C22⋊C4—171no—
1026C4×C22⋊C4—171no—
1027C4×C22⋊C4—171no—
1028C4×C22⋊C4C2×D1711yescharacteristic
1029#376—171no—
1030C2×#95—171no—
1031C2×#95—171no—
1032C2×C17—42no—
1033C2×C17—42no—
1034C2×C17C2×#52511yescharacteristic
1035C2×C17#344411yescharacteristic
1036C2×C17#346011yescharacteristic
1037C2×C17C2×#54611yescharacteristic
1038C2×C17D4×#4111yescharacteristic
1039C2×C17#347511yescharacteristic
1040C2×C17#348111yescharacteristic
1041D17—24no—
1042D17—42no—
1043D17—42no—
1044D17—81no—
1045C25—171no—
1046C2×#41—344no—
1047C2×#41—344no—
1048C2×#41—344no—
1049C2×#41—344no—
1050C2×#41—344no—
1051C2×#41—682no—
1052C22×Q8—171no—
1053C22×Q8C22×D1711yescharacteristic
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4—171no—
1062C22×D4—171no—
1063C22×D4—171no—
1064C22×D4—171no—
1065C22×D4C22×D1711yescharacteristic
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—171no—
1075C23×C4—171no—
1076C23×C4—171no—
1077C23×C4—171no—
1078C23×C4—171no—
1079C23×C4—171no—
1080C23×C4—171no—
1081C23×C4—344no—
1082C23×C4—344no—
1083C23×C4—682no—
1084C23×C4C22×D1711yescharacteristic
1085C23×C4C22×D1711yescharacteristic
1086#123—344no—
1087#123—344no—
1088#123—344no—
1089#123—344no—
1090C22⋊Q8—24no—
1091C22⋊Q8—344no—
1092#121—344no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—344no—
1100C4×Q8—344no—
1101C4×D4—178no—
1102C4×D4—344no—
1103C4×D4—344no—
1104C4×D4—344no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—344no—
1110C4×D4—344no—
1111C4×D4—682no—
1112C4×D4—682no—
1113#117—24no—
1114#117—344no—
1115#117—344no—
1116#117—344no—
1117#117—682no—
1118C2×C4⋊C4—171no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4C22×D1711yescharacteristic
1137C2×C4⋊C4C22×D1711yescharacteristic
1138C2×C4⋊C4C22×D1711yescharacteristic
1139C2×C4⋊C4C22×D1711yescharacteristic
1140C2×C4⋊C4C22×D1711yescharacteristic
1141C2×C4⋊C4C22×D1711yescharacteristic
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—344no—
1179C2×C22⋊C4—344no—
1180C2×C22⋊C4C22×D1711yescharacteristic
1181C2×C22⋊C4C22×D1711yescharacteristic
1182C2×C22⋊C4C22×D1711yescharacteristic
1183C2×C22⋊C4C22×D1711yescharacteristic
1184C2×C22⋊C4C22×D1711yescharacteristic
1185C2×C22⋊C4C22×D1711yescharacteristic
1186C2×C22⋊C4C22×D1711yescharacteristic
1187C2×C22⋊C4C22×D1711yescharacteristic
1188C2×C22⋊C4C22×D1711yescharacteristic
1189C2×C22⋊C4C22×D1711yescharacteristic
1190C2×C42—171no—
1191C2×C42—171no—
1192C2×C42—171no—
1193C2×C42—171no—
1194C2×C42—171no—
1195C2×C42—171no—
1196C2×C42—171no—
1197C2×C42—171no—
1198C2×C42—171no—
1199C2×C42—171no—
1200C2×C42—171no—
1201C2×C42—171no—
1202C2×C42—171no—
1203C2×C42—171no—
1204C2×C42—344no—
1205C2×C42—344no—
1206C2×C42—344no—
1207C2×C42—682no—
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
1211#95—171no—
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95C22×D1711yescharacteristic
1236#95C22×D1711yescharacteristic
1237#95C22×D1711yescharacteristic
1238#95C22×D1711yescharacteristic
1239#95C22×D1711yescharacteristic
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244#95C22×D1711yescharacteristic
1245#95C22×D1711yescharacteristic
1246#95C22×D1711yescharacteristic
1247C17#3473211yescharacteristic, complemented, Sylow
1248C24—171no—
1249C24—171no—
1250C24—171no—
1251C24—171no—
1252C24—342no—
1253C24—342no—
1254C24—342no—
1255C24—342no—
1256C24—342no—
1257C24—681no—
1258C24—681no—
1259C24C23×D1711yescharacteristic
1260C24C23×D1711yescharacteristic
1261#41—3432no—
1262#41—6816no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—41no—
1266C2×Q8—342no—
1267C2×Q8—342no—
1268C2×Q8—342no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—174no—
1273C2×D4—174no—
1274C2×D4—342no—
1275C2×D4—342no—
1276C2×D4—342no—
1277C2×D4—342no—
1278C2×D4—342no—
1279C2×D4—342no—
1280C2×D4—342no—
1281C2×D4—342no—
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—342no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4—681no—
1303C2×D4—681no—
1304C2×D4—681no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—171no—
1312C22×C4—171no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—174no—
1318C22×C4—174no—
1319C22×C4—174no—
1320C22×C4—174no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
1327C22×C4—342no—
1328C22×C4—342no—
1329C22×C4—342no—
1330C22×C4—342no—
1331C22×C4—342no—
1332C22×C4—342no—
1333C22×C4—342no—
1334C22×C4—342no—
1335C22×C4—342no—
1336C22×C4—342no—
1337C22×C4—342no—
1338C22×C4—342no—
1339C22×C4—342no—
1340C22×C4—342no—
1341C22×C4—342no—
1342C22×C4—342no—
1343C22×C4—342no—
1344C22×C4—342no—
1345C22×C4—342no—
1346C22×C4—342no—
1347C22×C4—342no—
1348C22×C4—342no—
1349C22×C4—342no—
1350C22×C4—342no—
1351C22×C4—342no—
1352C22×C4—342no—
1353C22×C4—342no—
1354C22×C4—342no—
1355C22×C4—342no—
1356C22×C4—342no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—681no—
1361C22×C4—681no—
1362C22×C4—681no—
1363C22×C4—681no—
1364C22×C4—681no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4—6816no—
1368C22×C4—681no—
1369C22×C4C23×D1711yescharacteristic
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C22×C4C23×D1711yescharacteristic
1373C22×C4C23×D1711yescharacteristic
1374C22×C4C23×D1711yescharacteristic
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—342no—
1388C4⋊C4—342no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—342no—
1395C4⋊C4—342no—
1396C4⋊C4—342no—
1397C4⋊C4—342no—
1398C4⋊C4—342no—
1399C4⋊C4—342no—
1400C4⋊C4—681no—
1401C4⋊C4—681no—
1402C4⋊C4—681no—
1403C4⋊C4—681no—
1404C4⋊C4—681no—
1405C4⋊C4D4×D1714yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—174no—
1417C22⋊C4—174no—
1418C22⋊C4—174no—
1419C22⋊C4—342no—
1420C22⋊C4—342no—
1421C22⋊C4—342no—
1422C22⋊C4—342no—
1423C22⋊C4—342no—
1424C22⋊C4—342no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—681no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C42—22no—
1453C42—22no—
1454C42—41no—
1455C42—174no—
1456C42—342no—
1457C42—342no—
1458C42—342no—
1459C42—342no—
1460C42—342no—
1461C42—342no—
1462C42—342no—
1463C42—342no—
1464C42—342no—
1465C42—342no—
1466C42—342no—
1467C42—342no—
1468C42—681no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—172no—
1482C23—172no—
1483C23—172no—
1484C23—172no—
1485C23—172no—
1486C23—348no—
1487C23—341no—
1488C23—341no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
1492C23—341no—
1493C23—341no—
1494C23—341no—
1495C23—341no—
1496C23—341no—
1497C23—341no—
1498C23—341no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—341no—
1506C23—341no—
1507C23—341no—
1508C23—341no—
1509C23—341no—
1510C23—684no—
1511C23—684no—
1512C23—684no—
1513C23—684no—
1514C23—684no—
1515C23—684no—
1516C23#41×D1712yes—
1517C23#41×D1712yes—
1518C23C24×D1711yescharacteristic
1519Q8—44no—
1520Q8—348no—
1521D4—44no—
1522D4—348no—
1523D4—348no—
1524D4—348no—
1525D4—684no—
1526D4—684no—
1527D4—684no—
1528D4—684no—
1529D4—684no—
1530D4—684no—
1531D4—684no—
1532D4—684no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—44no—
1569C2×C4—172no—
1570C2×C4—172no—
1571C2×C4—172no—
1572C2×C4—172no—
1573C2×C4—172no—
1574C2×C4—172no—
1575C2×C4—172no—
1576C2×C4—172no—
1577C2×C4—348no—
1578C2×C4—348no—
1579C2×C4—348no—
1580C2×C4—348no—
1581C2×C4—348no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—684no—
1611C2×C4—684no—
1612C2×C4—684no—
1613C2×C4—684no—
1614C2×C4—684no—
1615C2×C4—684no—
1616C2×C4—684no—
1617C2×C4—684no—
1618C2×C4—684no—
1619C2×C4—684no—
1620C2×C4C2×D4×D1712yes—
1621C2×C4C2×D4×D1712yes—
1622C2×C4C2×D4×D1712yes—
1623C2×C4#41×D1712yes—
1624C2×C4#41×D1712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—174no—
1640C22—342no—
1641C22—342no—
1642C22—342no—
1643C22—342no—
1644C22—342no—
1645C22—342no—
1646C22—342no—
1647C22—342no—
1648C22—342no—
1649C22—342no—
1650C22—342no—
1651C22—342no—
1652C22—6816no—
1653C22—681no—
1654C22—681no—
1655C22—681no—
1656C22—681no—
1657C22—681no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22—681no—
1662C22—681no—
1663C22—681no—
1664C22—681no—
1665C22—681no—
1666C22—681no—
1667C22—681no—
1668C22C22×D4×D1711yescharacteristic
1669C22C2×#41×D1711yescharacteristic
1670C22C2×#41×D1711yescharacteristic
1671C22C2×#41×D1711yescharacteristic
1672C22C2×#41×D1711yescharacteristic
1673C22H(5,𝔽2)×D1711yescharacteristic
1674C22#1176364611yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—174no—
1689C4—342no—
1690C4—342no—
1691C4—342no—
1692C4—342no—
1693C4—342no—
1694C4—681no—
1695C4—681no—
1696C4—681no—
1697C4—681no—
1698C4—681no—
1699C4—681no—
1700C2—42no—
1701C2—42no—
1702C2—344no—
1703C2—682no—
1704C2—682no—
1705C2—1361no—
1706C2D17×#52511yescharacteristic
1707C2#1454207811yescharacteristic
1708C2#1454220411yescharacteristic
1709C2D17×#54611yescharacteristic
1710C2#1454227311yescharacteristic
1711C2#1454233711yescharacteristic
1712C2#1454238711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2477C2
hypercenter#2477D17
hypocenterC17#34732
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×#11763322C2semidirect
2. C2×#11763277C2semidirect
3. #14532970C2semidirect
4. #14532889C2semidirect
5. #14532882C2semidirect
6. #14532801C2semidirect
7. #14532794C2semidirect
8. #14532704C2semidirect
9. #14532697C2semidirect
10. #14532601C2semidirect
11. #14532535C2semidirect
12. #14532457C2semidirect
13. #14532393C2semidirect
14. #14532321C2semidirect
15. #14532247C2semidirect
16. #14532168C2semidirect
17. #14532101C2semidirect
18. #14532069C2semidirect
19. #14532057C2semidirect
20. #14532023C2semidirect
21. #14532001C2semidirect
22. #14531311C2semidirect
23. #14531305C2semidirect
24. #14531296C2semidirect
25. #14531294C2semidirect
26. #14531289C2semidirect
27. #14531273C2semidirect
28. #14531222C2semidirect
29. #14531220C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2477C2semidirect
49. C2×#10587573C22semidirect
50. C2×#10587573C22semidirect
60. C2×#10587567C22semidirect
61. C2×#10587567C22semidirect
62. C2×#10587567C22semidirect
64. C2×#10587578C22semidirect
66. C2×#10587558C22semidirect
69. C22×C4×Dic17C22semidirect
72. C2×C42×D17C22semidirect
73. #11762750C22semidirect
74. #11762750C22semidirect
76. #11762743C22semidirect
77. #11762743C22semidirect
78. #11762739C22semidirect
79. #11762736C22semidirect
80. #11762735C22semidirect
84. #11762732C22semidirect
85. #11762729C22semidirect
86. #11762728C22semidirect
89. #11762727C22semidirect
93. #11762724C22semidirect
95. #11762722C22semidirect
99. #11762718C22semidirect
101. #11762716C22semidirect
105. #11762709C22semidirect
106. #11762706C22semidirect
107. #11762704C22semidirect
109. #11762701C22semidirect
110. #11762701C22semidirect
111. #11762700C22semidirect
112. #11762700C22semidirect
113. #11762700C22semidirect
115. #11762698C22semidirect
118. #11762696C22semidirect
119. #11762695C22semidirect
120. #11762694C22semidirect
121. #11762693C22semidirect
122. #11762690C22semidirect
123. #11762690C22semidirect
125. #11762688C22semidirect
132. #11762687C22semidirect
133. #11762687C22semidirect
139. #11762684C22semidirect
146. #11762680C22semidirect
148. #11762671C22semidirect
150. #11762667C22semidirect
152. C4⋊C4×Dic17C22semidirect
153. #11762660C22semidirect
154. #11762660C22semidirect
155. #11762660C22semidirect
159. C22⋊C4×Dic17C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. #11762654C22semidirect
175. C2×C17×#117C22semidirect
176. C17×#400C22semidirect
179. C17×#393C22semidirect
180. C17×#391C22semidirect
182. C17×#388C22semidirect
183. C17×#387C22semidirect
184. C17×#387C22semidirect
187. C17×#385C22semidirect
331. #10587579D4semidirect
446. C2×C22⋊D17#41semidirect
520. C2×C4×D17#41semidirect
521. C2×C4×D17#41semidirect
549. C22⋊Dic17#41semidirect
771. #2477D17semidirect
911. C2×#117C2×D17semidirect
920. #400C2×D17semidirect
945. #393C2×D17semidirect
951. #391C2×D17semidirect
969. #388C2×D17semidirect
976. #387C2×D17semidirect
977. #387C2×D17semidirect
1003. #385C2×D17semidirect
1247. C17#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#117633222
C2×#117632772
#145329702
#145328892
#145328822
#145328012
#145327942
#145327042
#145326972
#145326012
#145325352
#145324572
#145323932
#145323212
#145322472
#145321682
#145321012
#145320692
#145320572
#145320232
#145320012
#145313112
#145313052
#145312962
#145312942
#145312892
#145312732
#145312222
#145312202
C4×C22⋊C4×D172
C17×#24772
#3473217