Finite Group Databasebeta

← #17241344

Subgroups — #17241344

Order 4352.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763407C211yesmaximal, characteristic, complemented
2C2×#123×D17C211yesmaximal, characteristic, complemented
3#14537070C211yesmaximal, characteristic, complemented
4#14537067C211yesmaximal, characteristic, complemented
5#14535489C211yesmaximal, characteristic, complemented
6#14535487C211yesmaximal, characteristic, complemented
7#14535481C211yesmaximal, characteristic, complemented
8#14535460C211yesmaximal, characteristic, complemented
9#14535458C211yesmaximal, characteristic, complemented
10#14535456C211yesmaximal, characteristic, complemented
11#14535454C211yesmaximal, characteristic, complemented
12#14535150C211yesmaximal, characteristic, complemented
13#14535149C211yesmaximal, characteristic, complemented
14#14535146C211yesmaximal, characteristic, complemented
15#14535144C211yesmaximal, characteristic, complemented
16#14535141C211yesmaximal, characteristic, complemented
17#14535138C211yesmaximal, characteristic, complemented
18#14535134C211yesmaximal, characteristic, complemented
19#14535129C211yesmaximal, characteristic, complemented
20#14534594C211yesmaximal, characteristic, complemented
21#14534519C211yesmaximal, characteristic, complemented
22#14534135C211yesmaximal, characteristic, complemented
23#14534132C211yesmaximal, characteristic, complemented
24#14532168C211yesmaximal, characteristic, complemented
25#14532168C211yesmaximal, characteristic, complemented
26#14532164C211yesmaximal, characteristic, complemented
27#14532164C211yesmaximal, characteristic, complemented
28#14532138C211yesmaximal, characteristic, complemented
29#14532135C211yesmaximal, characteristic, complemented
30#14531399C211yesmaximal, characteristic, complemented
31C17×#2707C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763407—28no—
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587562C2211yescharacteristic, complemented
37C2×#10587575C2211yescharacteristic, complemented
38C2×#10587580C2211yescharacteristic
39C2×#10587580C2211yescharacteristic
40C2×#10587580C2211yescharacteristic
41C2×#10587580C2211yescharacteristic
42C2×#10587580C2211yescharacteristic, complemented
43C2×#10587580C2211yescharacteristic, complemented
44C2×#10587572C2211yescharacteristic
45C2×#10587615C2211yescharacteristic
46C2×#10587569C2211yescharacteristic
47C2×#10587569C2211yescharacteristic
48C2×#10587621C2211yescharacteristic
49#123×D17—28no—
50C2×#10587583C2211yescharacteristic, complemented
51C2×#10587582C2211yescharacteristic
52C2×#10587582C2211yescharacteristic, complemented
53C2×#10587582C2211yescharacteristic, complemented
54C2×#10587564C2211yescharacteristic, complemented
55C2×#10587581C2211yescharacteristic
56C2×#10587581C2211yescharacteristic
57C2×#10587581C2211yescharacteristic, complemented
58C2×#10587616C2211yescharacteristic, complemented
59C2×#10587570C2211yescharacteristic
60C2×#10587570C2211yescharacteristic
61C2×#10587624C2211yescharacteristic
62C2×#10587568C2211yescharacteristic
63C2×#10587568C2211yescharacteristic
64C2×#10587568C2211yescharacteristic
65C2×#10587568C2211yescharacteristic
66C2×C4×D68C2211yescharacteristic
67C2×#10587579C2211yescharacteristic
68C2×#10587578C2211yescharacteristic
69C2×#10587558C2211yescharacteristic
70C2×C4⋊C4×D17C2211yescharacteristic
71C2×C4⋊C4×D17C2211yescharacteristic
72C2×C22⋊C4×D17C2211yescharacteristic
73C2×C22⋊C4×D17C2211yescharacteristic
74C2×C22⋊C4×D17C2211yescharacteristic
75#11762745C2211yescharacteristic, complemented
76#11762744C2211yescharacteristic, complemented
77#11762743C2211yescharacteristic, complemented
78#11762742C2211yescharacteristic, complemented
79#11762741C2211yescharacteristic, complemented
80#11762735C2211yescharacteristic, complemented
81#11762733C2211yescharacteristic, complemented
82#11762733C2211yescharacteristic, complemented
83#11762733C2211yescharacteristic, complemented
84#11762732C2211yescharacteristic, complemented
85#11762732C2211yescharacteristic, complemented
86#11762732C2211yescharacteristic, complemented
87#11762731C2211yescharacteristic, complemented
88#11762731C2211yescharacteristic, complemented
89#11762731C2211yescharacteristic, complemented
90#11762731C2211yescharacteristic, complemented
91#11762731C2211yescharacteristic, complemented
92#11762731C2211yescharacteristic, complemented
93#11762731C2211yescharacteristic, complemented
94#11762727C2211yescharacteristic, complemented
95#11762727C2211yescharacteristic, complemented
96#11762727C2211yescharacteristic, complemented
97#11762727C2211yescharacteristic, complemented
98#11762726C2211yescharacteristic
99#11762726C2211yescharacteristic, complemented
100#11762726C2211yescharacteristic, complemented
101#11762725C2211yescharacteristic
102#11762725C2211yescharacteristic
103#11762725C2211yescharacteristic, complemented
104#11762725C2211yescharacteristic, complemented
105#11762724C2211yescharacteristic, complemented
106#11762724C2211yescharacteristic, complemented
107#11762724C2211yescharacteristic, complemented
108#11762724C2211yescharacteristic, complemented
109#11762722C2211yescharacteristic, complemented
110#11762721C2211yescharacteristic, complemented
111#11762719C2211yescharacteristic
112#11762719C2211yescharacteristic, complemented
113#11762718C2211yescharacteristic
114#11762718C2211yescharacteristic
115#11762718C2211yescharacteristic, complemented
116#11762717C2211yescharacteristic
117#11762711C2211yescharacteristic
118#11762711C2211yescharacteristic, complemented
119#11762711C2211yescharacteristic, complemented
120#11762710C2211yescharacteristic, complemented
121#11762710C2211yescharacteristic, complemented
122#11762709C2211yescharacteristic
123#11762709C2211yescharacteristic
124#11762709C2211yescharacteristic, complemented
125#11762709C2211yescharacteristic, complemented
126#11762709C2211yescharacteristic, complemented
127#11762709C2211yescharacteristic, complemented
128#11762708C2211yescharacteristic, complemented
129#11762707C2211yescharacteristic, complemented
130#11762706C2211yescharacteristic, complemented
131#11762706C2211yescharacteristic, complemented
132#11762705C2211yescharacteristic, complemented
133#11762704C2211yescharacteristic, complemented
134#11762704C2211yescharacteristic, complemented
135#11762699C2211yescharacteristic, complemented
136#11762699C2211yescharacteristic, complemented
137#11762698C2211yescharacteristic, complemented
138#11762698C2211yescharacteristic, complemented
139#11762697C2211yescharacteristic, complemented
140#11762697C2211yescharacteristic, complemented
141#11762696C2211yescharacteristic, complemented
142#11762693C2211yescharacteristic, complemented
143#11762692C2211yescharacteristic, complemented
144#11762687C2211yescharacteristic
145#11762687C2211yescharacteristic
146#11762687C2211yescharacteristic
147#11762687C2211yescharacteristic
148#11762687C2211yescharacteristic, complemented
149#11762687C2211yescharacteristic, complemented
150#11762686C2211yescharacteristic, complemented
151#11762686C2211yescharacteristic, complemented
152#11762683C2211yescharacteristic
153#11762683C2211yescharacteristic
154#11762683C2211yescharacteristic, complemented
155#11762683C2211yescharacteristic, complemented
156#11762683C2211yescharacteristic, complemented
157#11762682C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic
159#11762680C2211yescharacteristic
160#11762680C2211yescharacteristic, complemented
161#11762680C2211yescharacteristic, complemented
162#11762680C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic
164#11762668C2211yescharacteristic
165#11762668C2211yescharacteristic, complemented
166#11762667C2211yescharacteristic, complemented
167#11762666C2211yescharacteristic
168#11762666C2211yescharacteristic
169#11762666C2211yescharacteristic, complemented
170#11762664C2211yescharacteristic
171#11762664C2211yescharacteristic
172#11762664C2211yescharacteristic
173#11762664C2211yescharacteristic
174C2×C17×#125C2211yescharacteristic, complemented
175C2×C17×#123C2211yescharacteristic
176C17×#398C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#396C2211yescharacteristic, complemented
179C17×#396C2211yescharacteristic, complemented
180C17×#396C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic
182C17×#390C2211yescharacteristic
183C17×#389C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#388C2211yescharacteristic, complemented
186C17×#387C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic, complemented
188C17×#380C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C2×D4×D17—24no—
201C2×D4×D17—42no—
202C2×D4×D17—42no—
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×D68C2311yescharacteristic
208C22×D68C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×D68C2311yescharacteristic
211C22×C4×D17—24no—
212C22×C4×D17—42no—
213C22×C4×D17—42no—
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×Dic34C2311yescharacteristic
224C17×#125—24no—
225C17×#123—24no—
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
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×C22⋊C4×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
257C2×C22⋊Dic17C2311yescharacteristic
258#10587624—42no—
259#10587621—24no—
260#10587616—42no—
261#10587615—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×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332#10587584—24no—
333#10587583—24no—
334#10587582—24no—
335#10587582—24no—
336#10587582—42no—
337#10587581—24no—
338#10587581—42no—
339#10587581—42no—
340#10587580—24no—
341#10587580—24no—
342#10587580—24no—
343#10587580—24no—
344#10587580—24no—
345#10587580—24no—
346#10587579—24no—
347#10587578—42no—
348C4⋊C4×D17—24no—
349C4⋊C4×D17D418yescomplemented
350#10587575—24no—
351#10587572—24no—
352#10587570—42no—
353#10587570—42no—
354#10587569—24no—
355#10587569—24no—
356#10587568—42no—
357#10587568—42no—
358#10587568—42no—
359#10587568—42no—
360C22⋊C4×D17—24no—
361C22⋊C4×D17—24no—
362C22⋊C4×D17—24no—
363#10587564—42no—
364#10587562—24no—
365C4×D68—24no—
366#10587558—42no—
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369C17×#95C2311yescharacteristic
370C17×#95C2311yescharacteristic
371C17×#95C2311yescharacteristic
372C17×#95C2311yescharacteristic
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
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—22no—
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—41no—
402C23×D17—41no—
403C23×D17—41no—
404C23×D17—41no—
405C23×D17—41no—
406C23×D17—41no—
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C23×D17C2411yescharacteristic
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—41no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—41no—
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
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
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—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C22×Dic17—22no—
450C22×Dic17—22no—
451C22×Dic17—41no—
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463D4×D17—416no—
464C2×D68—22no—
465C2×D68—22no—
466C2×D68—22no—
467C2×D68—22no—
468C2×D68—22no—
469C2×D68—22no—
470C2×D68—22no—
471C2×D68—22no—
472C2×D68—22no—
473C2×D68—22no—
474C2×D68—22no—
475C2×D68—41no—
476C2×D68—41no—
477C2×D68—41no—
478C2×D68—41no—
479C2×D68—41no—
480C2×D68—41no—
481C2×D68—41no—
482C2×D68—41no—
483C2×D68—41no—
484C2×D68—41no—
485C2×D68—41no—
486C2×D68—41no—
487C2×D68—41no—
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—41no—
499C2×C4×D17—41no—
500C2×C4×D17—41no—
501C2×C4×D17—41no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C2×C4×D17—41no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—416no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17C2×D414yes—
514C2×C4×D17C2×D414yes—
515C2×C4×D17C2×D414yes—
516C2×Dic34—22no—
517C2×Dic34—41no—
518C2×Dic34—41no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—22no—
521C4⋊C4×C17—22no—
522C4⋊C4×C17—22no—
523C4⋊C4×C17—22no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—41no—
526C4⋊C4×C17—41no—
527C4⋊C4×C17—41no—
528C4⋊C4×C17—41no—
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—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C42×C17—22no—
543C42×C17—41no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
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—22no—
572#63227—22no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586#63227—41no—
587#63227—41no—
588#63227—41no—
589#63227—41no—
590#63227—41no—
591C4⋊Dic17—22no—
592C4⋊Dic17—22no—
593C4⋊Dic17—41no—
594C4⋊Dic17—41no—
595C4⋊Dic17—41no—
596C4⋊Dic17—41no—
597C4⋊Dic17—41no—
598C4⋊Dic17C2×D414yes—
599#63225—22no—
600#63225—22no—
601#63225—22no—
602#63225—22no—
603#63225—22no—
604#63225—22no—
605#63225—41no—
606#63225—41no—
607#63225—41no—
608#63225—41no—
609#63225—41no—
610#63225—41no—
611#63225—41no—
612#63225—41no—
613#63225—41no—
614#63225—41no—
615#63225C2×D414yes—
616#63225C2×D414yes—
617C4×Dic17—22no—
618C4×Dic17—41no—
619C4×Dic17—41no—
620C4×Dic17—41no—
621#36722—171nomaximal, Sylow
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17H(5,𝔽2)12yes—
636C23×C17C2511yescharacteristic
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—28no—
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—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—44no—
670C22×D17—44no—
671C22×D17—44no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—44no—
676C22×D17—44no—
677C22×D17—44no—
678C22×D17—82no—
679C22×D17—82no—
680C22×D17—82no—
681C22×D17—82no—
682C22×D17C22×D412yes—
683C22×D17H(5,𝔽2)12yes—
684C22×D17H(5,𝔽2)12yes—
685C22×D172−1+412yes—
686D4×C17—44no—
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—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—44no—
724C2×C4×C17C22×D412yes—
725C2×C4×C17C22×D412yes—
726C2×C4×C17C22×D412yes—
727C22⋊D17—44no—
728C22⋊D17—44no—
729C22⋊D17—82no—
730C22⋊D17—82no—
731C22⋊D17—82no—
732C22⋊D17—82no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—44no—
764C2×Dic17C22×D412yes—
765C2×Dic17C22×D412yes—
766C2×Dic17C22×D412yes—
767D68—44no—
768D68—44no—
769D68—44no—
770D68—82no—
771D68—82no—
772D68—82no—
773D68—82no—
774D68—82no—
775C4×D17—28no—
776C4×D17—44no—
777C4×D17—44no—
778C4×D17—44no—
779C4×D17—44no—
780C4×D17—44no—
781C4×D17—44no—
782C4×D17—82no—
783C4×D17—82no—
784Dic34—82no—
785C2×#539—171no—
786C22×#123—171no—
787#2848—171no—
788#2847—171no—
789#2707—171no—
790#2707—171no—
791#2707—171no—
792#2707D1711yescharacteristic, complemented
793#2705—171no—
794#2705—171no—
795#2705—171no—
796#2705—171no—
797#2682—171no—
798#2682—171no—
799#2682—171no—
800#2682—171no—
801#2681—171no—
802#2681—171no—
803#2681—171no—
804#2681—171no—
805#2626—171no—
806#2617—171no—
807#2579—171no—
808#2579—171no—
809#2411—171no—
810#2411—171no—
811#2411—171no—
812#2411—171no—
813#2408—171no—
814#2408—171no—
815#2316—171no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—41no—
820C22×C17—41no—
821C22×C17—41no—
822C22×C17—41no—
823C22×C17—41no—
824C22×C17—41no—
825C22×C17—41no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17C23×D411yescharacteristic
831C22×C17C2×H(5,𝔽2)11yescharacteristic
832C22×C17C2×H(5,𝔽2)11yescharacteristic
833C22×C17C2×H(5,𝔽2)11yescharacteristic
834C22×C17C2×2−1+411yescharacteristic
835C22×C17#58511yescharacteristic
836C22×C17#58511yescharacteristic
837C2×D17—22no—
838C2×D17—22no—
839C2×D17—22no—
840C2×D17—22no—
841C2×D17—22no—
842C2×D17—22no—
843C2×D17—22no—
844C2×D17—22no—
845C2×D17—22no—
846C2×D17—416no—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17—41no—
853C2×D17—41no—
854C2×D17—41no—
855C2×D17—41no—
856C2×D17—41no—
857C2×D17—41no—
858C2×D17—41no—
859C2×D17—41no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—88no—
873C2×D17#53714yes—
874C4×C17—22no—
875C4×C17—22no—
876C4×C17—22no—
877C4×C17—41no—
878C4×C17—41no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887Dic17—22no—
888Dic17—22no—
889Dic17—22no—
890Dic17—41no—
891Dic17—41no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898C23×D4—171no—
899C24×C4—171no—
900#539—348no—
901C2×#126—171no—
902C2×#126—171no—
903C2×#125—171no—
904C2×#125C2×D1711yescharacteristic, complemented
905C2×#123—171no—
906C2×#123—171no—
907C2×#123—171no—
908C2×#123—171no—
909C2×#123—171no—
910C2×#123—171no—
911C2×#123—171no—
912C2×#123—171no—
913C2×#123—171no—
914C2×#123—171no—
915C2×#123—171no—
916C2×#123—348no—
917C2×#123C2×D1711yescharacteristic
918C2×C22⋊Q8—171no—
919C2×C22⋊Q8—171no—
920C2×C22⋊Q8—171no—
921C2×C22⋊Q8—171no—
922C2×C22⋊Q8—171no—
923C2×#121—171no—
924C2×#121—171no—
925C2×#121—171no—
926C2×#121—171no—
927C2×#121—171no—
928C2×#121—171no—
929C2×#121—171no—
930C2×#120—171no—
931C2×#120—171no—
932C2×#120—171no—
933C2×#120—171no—
934C2×C4×D4—171no—
935C2×C4×D4—171no—
936C2×#117—171no—
937C2×#117—171no—
938C22×C4⋊C4—171no—
939C22×C4⋊C4—171no—
940C22×C22⋊C4—171no—
941C22×C22⋊C4—171no—
942C22×C22⋊C4—171no—
943#399—171no—
944#399—171no—
945#398—171no—
946#398—171no—
947#398—171no—
948#398C2×D1711yescharacteristic, complemented
949#397—171no—
950#397C2×D1711yescharacteristic, complemented
951#396—171no—
952#396—171no—
953#396—171no—
954#396—171no—
955#396—171no—
956#396—171no—
957#396—171no—
958#396—171no—
959#396—171no—
960#396—171no—
961#396—171no—
962#396—171no—
963#396—171no—
964#396C2×D1711yescharacteristic, complemented
965#396C2×D1711yescharacteristic, complemented
966#396C2×D1711yescharacteristic, complemented
967#394—171no—
968#394—171no—
969#394—171no—
970#394—171no—
971#394—171no—
972#394—171no—
973#394—171no—
974#394—171no—
975#394—171no—
976#394—171no—
977#394—171no—
978#394—171no—
979#394—171no—
980#394—171no—
981#394—171no—
982#394C2×D1711yescharacteristic
983#393—171no—
984#393—171no—
985#392—171no—
986#392—171no—
987#392—171no—
988#392—171no—
989#392—171no—
990#392—171no—
991#390—171no—
992#390—171no—
993#390—171no—
994#390—171no—
995#390—171no—
996#390—171no—
997#390—171no—
998#390—171no—
999#390—171no—
1000#390—171no—
1001#390—171no—
1002#390C2×D1711yescharacteristic
1003#389—171no—
1004#389—171no—
1005#389—171no—
1006#389—171no—
1007#389—171no—
1008#389—171no—
1009#389—171no—
1010#389C2×D1711yescharacteristic, complemented
1011#388—171no—
1012#388—171no—
1013#388—171no—
1014#388—171no—
1015#388—171no—
1016#388—171no—
1017#388C2×D1711yescharacteristic, complemented
1018#388C2×D1711yescharacteristic, complemented
1019#387—171no—
1020#387—171no—
1021#387—171no—
1022#387C2×D1711yescharacteristic, complemented
1023#386—171no—
1024#386—171no—
1025#386—171no—
1026#386—171no—
1027#386—171no—
1028#386—171no—
1029#386—171no—
1030#386—171no—
1031#385—171no—
1032#385—171no—
1033#385—171no—
1034#385—171no—
1035#385—171no—
1036#385—171no—
1037#385—171no—
1038#385—171no—
1039#385—171no—
1040#385—171no—
1041#385—171no—
1042#385C2×D1711yescharacteristic, complemented
1043#380—171no—
1044#380—171no—
1045#380—171no—
1046#380—171no—
1047#380—171no—
1048#380—171no—
1049#380—171no—
1050#380C2×D1711yescharacteristic, complemented
1051#379—171no—
1052#379—171no—
1053#379—171no—
1054#379—171no—
1055C2×C17—42no—
1056C2×C17—81no—
1057C2×C17C2×#53711yescharacteristic
1058C2×C17#348411yescharacteristic
1059C2×C17#348711yescharacteristic
1060C2×C17#353411yescharacteristic
1061C2×C17#353411yescharacteristic
1062C2×C17#353511yescharacteristic
1063C2×C17#353511yescharacteristic
1064D17—24no—
1065D17—42no—
1066D17—81no—
1067D17—81no—
1068D17—81no—
1069C25—171no—
1070C25—171no—
1071C22×Q8—171no—
1072C22×D4—171no—
1073C22×D4—171no—
1074C22×D4—171no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—344no—
1087C22×D4—682no—
1088C22×D4—682no—
1089C22×D4C22×D1711yescharacteristic
1090C23×C4—171no—
1091C23×C4—171no—
1092C23×C4—171no—
1093C23×C4—171no—
1094C23×C4—171no—
1095C23×C4—171no—
1096C23×C4—171no—
1097C23×C4—171no—
1098C23×C4—171no—
1099C23×C4—171no—
1100C23×C4—344no—
1101C23×C4—682no—
1102C23×C4—682no—
1103C23×C4C22×D1711yescharacteristic
1104#126—344no—
1105#126—344no—
1106#125—24no—
1107#125—344no—
1108#123—24no—
1109#123—344no—
1110#123—344no—
1111#123—344no—
1112#123—344no—
1113#123—344no—
1114#123—344no—
1115#123—344no—
1116#123—344no—
1117#123—344no—
1118#123—344no—
1119#123—344no—
1120C22⋊Q8—344no—
1121C22⋊Q8—344no—
1122C22⋊Q8—344no—
1123C22⋊Q8—682no—
1124C22⋊Q8—682no—
1125#121—344no—
1126#121—682no—
1127#121—682no—
1128#121—682no—
1129#121—682no—
1130#121—682no—
1131#121—682no—
1132#120—682no—
1133#120—682no—
1134#120—682no—
1135#120—682no—
1136C4×D4—344no—
1137C4×D4—344no—
1138#117—682no—
1139#117—682no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—178no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4—171no—
1154C2×C4⋊C4—171no—
1155C2×C4⋊C4—171no—
1156C2×C4⋊C4—171no—
1157C2×C4⋊C4—171no—
1158C2×C4⋊C4—171no—
1159C2×C4⋊C4—171no—
1160C2×C4⋊C4—171no—
1161C2×C4⋊C4—171no—
1162C2×C4⋊C4—171no—
1163C2×C4⋊C4—171no—
1164C2×C4⋊C4—171no—
1165C2×C4⋊C4—171no—
1166C2×C4⋊C4—171no—
1167C2×C4⋊C4—344no—
1168C2×C4⋊C4C22×D1711yescharacteristic
1169C2×C4⋊C4C22×D1711yescharacteristic
1170C2×C4⋊C4C22×D1711yescharacteristic
1171C2×C4⋊C4C22×D1711yescharacteristic
1172C2×C4⋊C4C22×D1711yescharacteristic
1173C2×C4⋊C4C22×D1711yescharacteristic
1174C2×C4⋊C4C22×D1711yescharacteristic
1175C2×C4⋊C4C22×D1711yescharacteristic
1176C2×C4⋊C4C22×D1711yescharacteristic
1177C2×C4⋊C4C22×D1711yescharacteristic
1178C2×C4⋊C4C22×D1711yescharacteristic
1179C2×C4⋊C4C22×D1711yescharacteristic
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊C4—171no—
1207C2×C22⋊C4—171no—
1208C2×C22⋊C4—171no—
1209C2×C22⋊C4—171no—
1210C2×C22⋊C4—171no—
1211C2×C22⋊C4—171no—
1212C2×C22⋊C4—171no—
1213C2×C22⋊C4—171no—
1214C2×C22⋊C4—171no—
1215C2×C22⋊C4—171no—
1216C2×C22⋊C4—171no—
1217C2×C22⋊C4—171no—
1218C2×C22⋊C4—171no—
1219C2×C22⋊C4—171no—
1220C2×C22⋊C4—171no—
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—171no—
1224C2×C22⋊C4—171no—
1225C2×C22⋊C4—171no—
1226C2×C22⋊C4—171no—
1227C2×C22⋊C4—344no—
1228C2×C22⋊C4—344no—
1229C2×C22⋊C4—344no—
1230C2×C22⋊C4C22×D1711yescharacteristic
1231C2×C22⋊C4C22×D1711yescharacteristic
1232C2×C22⋊C4C22×D1711yescharacteristic
1233C2×C22⋊C4C22×D1711yescharacteristic
1234C2×C22⋊C4C22×D1711yescharacteristic
1235C2×C22⋊C4C22×D1711yescharacteristic
1236C2×C22⋊C4C22×D1711yescharacteristic
1237C2×C22⋊C4C22×D1711yescharacteristic
1238C2×C22⋊C4C22×D1711yescharacteristic
1239C2×C22⋊C4C22×D1711yescharacteristic
1240C2×C22⋊C4C22×D1711yescharacteristic
1241C2×C42—171no—
1242C2×C42—171no—
1243C2×C42—171no—
1244C2×C42—171no—
1245C2×C42C22×D1711yescharacteristic
1246C2×C42C22×D1711yescharacteristic
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95—171no—
1256#95—171no—
1257#95—171no—
1258#95—171no—
1259#95—171no—
1260#95—171no—
1261#95—171no—
1262#95—171no—
1263#95C22×D1711yescharacteristic
1264#95C22×D1711yescharacteristic
1265#95C22×D1711yescharacteristic
1266#95C22×D1711yescharacteristic
1267#95C22×D1711yescharacteristic
1268#95C22×D1711yescharacteristic
1269#95C22×D1711yescharacteristic
1270#95C22×D1711yescharacteristic
1271C17#3672211yescharacteristic, complemented, Sylow
1272C24—171no—
1273C24—171no—
1274C24—171no—
1275C24—171no—
1276C24—171no—
1277C24—342no—
1278C24—342no—
1279C24—342no—
1280C24—342no—
1281C24—342no—
1282C24—342no—
1283C24—342no—
1284C24—342no—
1285C24—681no—
1286C24—681no—
1287C24—681no—
1288C24—681no—
1289C24—681no—
1290C24—681no—
1291C24C23×D1711yescharacteristic
1292C24C23×D1711yescharacteristic
1293C2×Q8—342no—
1294C2×Q8—681no—
1295C2×Q8—681no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—41no—
1299C2×D4—342no—
1300C2×D4—342no—
1301C2×D4—342no—
1302C2×D4—342no—
1303C2×D4—342no—
1304C2×D4—342no—
1305C2×D4—342no—
1306C2×D4—342no—
1307C2×D4—342no—
1308C2×D4—342no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—342no—
1312C2×D4—342no—
1313C2×D4—342no—
1314C2×D4—342no—
1315C2×D4—342no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—681no—
1319C2×D4—681no—
1320C2×D4—681no—
1321C2×D4—681no—
1322C2×D4—681no—
1323C2×D4—681no—
1324C2×D4—681no—
1325C2×D4—681no—
1326C2×D4—681no—
1327C2×D4—681no—
1328C2×D4—681no—
1329C2×D4—681no—
1330C2×D4—681no—
1331C2×D4—681no—
1332C2×D4—681no—
1333C2×D4—681no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—6816no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—41no—
1345C22×C4—171no—
1346C22×C4—171no—
1347C22×C4—171no—
1348C22×C4—174no—
1349C22×C4—174no—
1350C22×C4—174no—
1351C22×C4—171no—
1352C22×C4—171no—
1353C22×C4—171no—
1354C22×C4—171no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—171no—
1358C22×C4—171no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—342no—
1363C22×C4—342no—
1364C22×C4—342no—
1365C22×C4—342no—
1366C22×C4—342no—
1367C22×C4—342no—
1368C22×C4—342no—
1369C22×C4—342no—
1370C22×C4—342no—
1371C22×C4—681no—
1372C22×C4—681no—
1373C22×C4—681no—
1374C22×C4—681no—
1375C22×C4—681no—
1376C22×C4—681no—
1377C22×C4—681no—
1378C22×C4—681no—
1379C22×C4—681no—
1380C22×C4—681no—
1381C22×C4—681no—
1382C22×C4—681no—
1383C22×C4—681no—
1384C22×C4—681no—
1385C22×C4—6816no—
1386C22×C4—681no—
1387C22×C4C23×D1711yescharacteristic
1388C22×C4C23×D1711yescharacteristic
1389C22×C4C23×D1711yescharacteristic
1390C22×C4C23×D1711yescharacteristic
1391C22×C4C23×D1711yescharacteristic
1392C22×C4C23×D1711yescharacteristic
1393C22×C4C23×D1711yescharacteristic
1394C22×C4C23×D1711yescharacteristic
1395C22×C4C23×D1711yescharacteristic
1396C22×C4C23×D1711yescharacteristic
1397C22×C4C23×D1711yescharacteristic
1398C22×C4C23×D1711yescharacteristic
1399C22×C4C23×D1711yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—174no—
1412C4⋊C4—174no—
1413C4⋊C4—174no—
1414C4⋊C4—342no—
1415C4⋊C4—342no—
1416C4⋊C4—342no—
1417C4⋊C4—342no—
1418C4⋊C4—342no—
1419C4⋊C4—342no—
1420C4⋊C4—342no—
1421C4⋊C4—342no—
1422C4⋊C4—681no—
1423C4⋊C4—681no—
1424C4⋊C4—681no—
1425C4⋊C4—681no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C4⋊C4—681no—
1430C4⋊C4—681no—
1431C4⋊C4—681no—
1432C4⋊C4—681no—
1433C4⋊C4—681no—
1434C4⋊C4—681no—
1435C4⋊C4—681no—
1436C4⋊C4—681no—
1437C4⋊C4D4×D1714yes—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
1451C22⋊C4—342no—
1452C22⋊C4—342no—
1453C22⋊C4—342no—
1454C22⋊C4—342no—
1455C22⋊C4—342no—
1456C22⋊C4—342no—
1457C22⋊C4—342no—
1458C22⋊C4—342no—
1459C22⋊C4—342no—
1460C22⋊C4—342no—
1461C22⋊C4—342no—
1462C22⋊C4—342no—
1463C22⋊C4—342no—
1464C22⋊C4—342no—
1465C22⋊C4—342no—
1466C22⋊C4—342no—
1467C22⋊C4—342no—
1468C22⋊C4—342no—
1469C22⋊C4—342no—
1470C22⋊C4—342no—
1471C22⋊C4—342no—
1472C22⋊C4—342no—
1473C22⋊C4—342no—
1474C22⋊C4—342no—
1475C22⋊C4—681no—
1476C22⋊C4—681no—
1477C22⋊C4—681no—
1478C22⋊C4—681no—
1479C22⋊C4—681no—
1480C22⋊C4—681no—
1481C22⋊C4—681no—
1482C22⋊C4—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C22⋊C4—681no—
1488C22⋊C4—681no—
1489C22⋊C4—681no—
1490C22⋊C4—681no—
1491C22⋊C4—681no—
1492C22⋊C4—681no—
1493C22⋊C4—681no—
1494C22⋊C4—681no—
1495C22⋊C4—681no—
1496C42—22no—
1497C42—41no—
1498C42—342no—
1499C42—681no—
1500C42—681no—
1501C42—681no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—172no—
1516C23—172no—
1517C23—172no—
1518C23—172no—
1519C23—348no—
1520C23—341no—
1521C23—341no—
1522C23—341no—
1523C23—341no—
1524C23—341no—
1525C23—341no—
1526C23—341no—
1527C23—341no—
1528C23—341no—
1529C23—341no—
1530C23—341no—
1531C23—341no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—341no—
1549C23—341no—
1550C23—341no—
1551C23—684no—
1552C23—684no—
1553C23—684no—
1554C23—684no—
1555C23—684no—
1556C23—684no—
1557C23—684no—
1558C23—684no—
1559C23—684no—
1560C23—1362no—
1561C23—1362no—
1562C23—1362no—
1563C23—1362no—
1564C23#1058769612yes—
1565C23C24×D1711yescharacteristic
1566Q8—1362no—
1567D4—44no—
1568D4—684no—
1569D4—684no—
1570D4—684no—
1571D4—684no—
1572D4—684no—
1573D4—1362no—
1574D4—1362no—
1575D4—1362no—
1576D4—1362no—
1577D4—1362no—
1578D4—1362no—
1579D4—1362no—
1580D4—1362no—
1581D4—1362no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—44no—
1619C2×C4—172no—
1620C2×C4—172no—
1621C2×C4—172no—
1622C2×C4—348no—
1623C2×C4—341no—
1624C2×C4—341no—
1625C2×C4—341no—
1626C2×C4—341no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—341no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—684no—
1654C2×C4—684no—
1655C2×C4—684no—
1656C2×C4—684no—
1657C2×C4—684no—
1658C2×C4—684no—
1659C2×C4—684no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4C2×D4×D1712yes—
1663C2×C4C2×D4×D1712yes—
1664C2×C4C2×D4×D1712yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—174no—
1680C22—342no—
1681C22—342no—
1682C22—342no—
1683C22—342no—
1684C22—342no—
1685C22—342no—
1686C22—342no—
1687C22—342no—
1688C22—342no—
1689C22—6816no—
1690C22—681no—
1691C22—681no—
1692C22—681no—
1693C22—681no—
1694C22—681no—
1695C22—681no—
1696C22—681no—
1697C22—681no—
1698C22—681no—
1699C22—681no—
1700C22—681no—
1701C22—681no—
1702C22—681no—
1703C22—681no—
1704C22—681no—
1705C22—681no—
1706C22—681no—
1707C22—681no—
1708C22—681no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—1368no—
1716C22C22×D4×D1711yescharacteristic
1717C22H(5,𝔽2)×D1711yescharacteristic
1718C22H(5,𝔽2)×D1711yescharacteristic
1719C22C2×#1058769611yescharacteristic
1720C222−1+4×D1711yescharacteristic
1721C22#1176364511yescharacteristic
1722C22#1176364611yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—342no—
1737C4—342no—
1738C4—342no—
1739C4—681no—
1740C4—681no—
1741C4—681no—
1742C4—681no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C2—42no—
1748C2—81no—
1749C2—344no—
1750C2—682no—
1751C2—1361no—
1752C2—1361no—
1753C2—1361no—
1754C2D17×#53711yescharacteristic
1755C2#1454241411yescharacteristic
1756C2#1454244111yescharacteristic
1757C2#1454296711yescharacteristic
1758C2#1454297211yescharacteristic
1759C2#1454299511yescharacteristic
1760C2#1454299611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2707C2
hypercenter#2707D17
hypocenterC17#36722
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2707

Complements

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

NH ≅ G/Ntype
1. C2×#11763407C2semidirect
2. C2×#123×D17C2semidirect
3. #14537070C2semidirect
4. #14537067C2semidirect
5. #14535489C2semidirect
6. #14535487C2semidirect
7. #14535481C2semidirect
8. #14535460C2semidirect
9. #14535458C2semidirect
10. #14535456C2semidirect
11. #14535454C2semidirect
12. #14535150C2semidirect
13. #14535149C2semidirect
14. #14535146C2semidirect
15. #14535144C2semidirect
16. #14535141C2semidirect
17. #14535138C2semidirect
18. #14535134C2semidirect
19. #14535129C2semidirect
20. #14534594C2semidirect
21. #14534519C2semidirect
22. #14534135C2semidirect
23. #14534132C2semidirect
24. #14532168C2semidirect
25. #14532168C2semidirect
26. #14532164C2semidirect
27. #14532164C2semidirect
28. #14532138C2semidirect
29. #14532135C2semidirect
30. #14531399C2semidirect
31. C17×#2707C2semidirect
35. C2×#10587584C22semidirect
36. C2×#10587562C22semidirect
37. C2×#10587575C22semidirect
42. C2×#10587580C22semidirect
43. C2×#10587580C22semidirect
50. C2×#10587583C22semidirect
52. C2×#10587582C22semidirect
53. C2×#10587582C22semidirect
54. C2×#10587564C22semidirect
57. C2×#10587581C22semidirect
58. C2×#10587616C22semidirect
75. #11762745C22semidirect
76. #11762744C22semidirect
77. #11762743C22semidirect
78. #11762742C22semidirect
79. #11762741C22semidirect
80. #11762735C22semidirect
81. #11762733C22semidirect
82. #11762733C22semidirect
83. #11762733C22semidirect
84. #11762732C22semidirect
85. #11762732C22semidirect
86. #11762732C22semidirect
87. #11762731C22semidirect
88. #11762731C22semidirect
89. #11762731C22semidirect
90. #11762731C22semidirect
91. #11762731C22semidirect
92. #11762731C22semidirect
93. #11762731C22semidirect
94. #11762727C22semidirect
95. #11762727C22semidirect
96. #11762727C22semidirect
97. #11762727C22semidirect
99. #11762726C22semidirect
100. #11762726C22semidirect
103. #11762725C22semidirect
104. #11762725C22semidirect
105. #11762724C22semidirect
106. #11762724C22semidirect
107. #11762724C22semidirect
108. #11762724C22semidirect
109. #11762722C22semidirect
110. #11762721C22semidirect
112. #11762719C22semidirect
115. #11762718C22semidirect
118. #11762711C22semidirect
119. #11762711C22semidirect
120. #11762710C22semidirect
121. #11762710C22semidirect
124. #11762709C22semidirect
125. #11762709C22semidirect
126. #11762709C22semidirect
127. #11762709C22semidirect
128. #11762708C22semidirect
129. #11762707C22semidirect
130. #11762706C22semidirect
131. #11762706C22semidirect
132. #11762705C22semidirect
133. #11762704C22semidirect
134. #11762704C22semidirect
135. #11762699C22semidirect
136. #11762699C22semidirect
137. #11762698C22semidirect
138. #11762698C22semidirect
139. #11762697C22semidirect
140. #11762697C22semidirect
141. #11762696C22semidirect
142. #11762693C22semidirect
143. #11762692C22semidirect
148. #11762687C22semidirect
149. #11762687C22semidirect
150. #11762686C22semidirect
151. #11762686C22semidirect
154. #11762683C22semidirect
155. #11762683C22semidirect
156. #11762683C22semidirect
157. #11762682C22semidirect
160. #11762680C22semidirect
161. #11762680C22semidirect
162. #11762680C22semidirect
165. #11762668C22semidirect
166. #11762667C22semidirect
169. #11762666C22semidirect
174. C2×C17×#125C22semidirect
176. C17×#398C22semidirect
177. C17×#397C22semidirect
178. C17×#396C22semidirect
179. C17×#396C22semidirect
180. C17×#396C22semidirect
183. C17×#389C22semidirect
184. C17×#388C22semidirect
185. C17×#388C22semidirect
186. C17×#387C22semidirect
187. C17×#385C22semidirect
188. C17×#380C22semidirect
349. C4⋊C4×D17D4semidirect
792. #2707D17semidirect
904. C2×#125C2×D17semidirect
948. #398C2×D17semidirect
950. #397C2×D17semidirect
964. #396C2×D17semidirect
965. #396C2×D17semidirect
966. #396C2×D17semidirect
1010. #389C2×D17semidirect
1017. #388C2×D17semidirect
1018. #388C2×D17semidirect
1022. #387C2×D17semidirect
1042. #385C2×D17semidirect
1050. #380C2×D17semidirect
1271. C17#36722semidirect

Maximal subgroups

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

subgroupindex
C2×#117634072
C2×#123×D172
#145370702
#145370672
#145354892
#145354872
#145354812
#145354602
#145354582
#145354562
#145354542
#145351502
#145351492
#145351462
#145351442
#145351412
#145351382
#145351342
#145351292
#145345942
#145345192
#145341352
#145341322
#145321682
#145321642
#145321382
#145321352
#145313992
C17×#27072
#3672217