Finite Group Databasebeta

← #17241311

Subgroups — #17241311

Order 4352.

2490 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763405C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
3#14537068C211yesmaximal, characteristic, complemented
4#14537065C211yesmaximal, characteristic
5#14535449C211yesmaximal, characteristic, complemented
6#14535447C211yesmaximal, characteristic, complemented
7#14535437C211yesmaximal, characteristic, complemented
8#14535435C211yesmaximal, characteristic, complemented
9#14535418C211yesmaximal, characteristic, complemented
10#14535416C211yesmaximal, characteristic, complemented
11#14535410C211yesmaximal, characteristic, complemented
12#14535408C211yesmaximal, characteristic, complemented
13#14535158C211yesmaximal, characteristic, complemented
14#14535154C211yesmaximal, characteristic, complemented
15#14535154C211yesmaximal, characteristic, complemented
16#14535141C211yesmaximal, characteristic, complemented
17#14535140C211yesmaximal, characteristic, complemented
18#14535133C211yesmaximal, characteristic, complemented
19#14535132C211yesmaximal, characteristic, complemented
20#14534596C211yesmaximal, characteristic, complemented
21#14534531C211yesmaximal, characteristic, complemented
22#14533675C211yesmaximal, characteristic, complemented
23#14533672C211yesmaximal, characteristic, complemented
24#14532188C211yesmaximal, characteristic, complemented
25#14532186C211yesmaximal, characteristic, complemented
26#14532166C211yesmaximal, characteristic, complemented
27#14532164C211yesmaximal, characteristic, complemented
28#14532145C211yesmaximal, characteristic, complemented
29#14532144C211yesmaximal, characteristic, complemented
30#14531399C211yesmaximal, characteristic, complemented
31C17×#2683C211yesmaximal, characteristic, complemented
32C22×Q8×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763405—28no—
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587565C2211yescharacteristic, complemented
37C2×#10587575C2211yescharacteristic, complemented
38C2×#10587575C2211yescharacteristic, complemented
39C2×#10587580C2211yescharacteristic
40C2×#10587580C2211yescharacteristic
41C2×#10587615C2211yescharacteristic, complemented
42C2×#10587569C2211yescharacteristic
43C2×#10587569C2211yescharacteristic
44C2×#10587569C2211yescharacteristic, complemented
45C2×#10587583C2211yescharacteristic
46C2×#10587610C2211yescharacteristic
47C2×#10587610C2211yescharacteristic, complemented
48C2×#10587582C2211yescharacteristic
49C2×#10587582C2211yescharacteristic
50C2×#10587582C2211yescharacteristic, complemented
51C2×#10587582C2211yescharacteristic, complemented
52C2×#10587564C2211yescharacteristic
53C2×#10587564C2211yescharacteristic
54C2×#10587632C2211yescharacteristic
55C2×#10587632C2211yescharacteristic
56C2×#10587632C2211yescharacteristic
57C2×#10587632C2211yescharacteristic, complemented
58C22⋊Q8×D17—28no—
59C2×#10587570C2211yescharacteristic
60C2×#10587570C2211yescharacteristic
61C2×#10587625C2211yescharacteristic
62C2×#10587568C2211yescharacteristic
63C2×#10587623C2211yescharacteristic
64C2×#10587579C2211yescharacteristic
65C2×C4×C22⋊D17C2211yescharacteristic
66C2×#10587578C2211yescharacteristic
67C2×#10587558C2211yescharacteristic
68C2×C4⋊C4×D17C2211yescharacteristic
69C2×C4⋊C4×D17C2211yescharacteristic
70C2×C4⋊C4×D17C2211yescharacteristic
71C2×C22⋊C4×D17C2211yescharacteristic
72C2×C22⋊C4×D17C2211yescharacteristic
73#11762749C2211yescharacteristic, complemented
74#11762748C2211yescharacteristic, complemented
75#11762743C2211yescharacteristic, complemented
76#11762743C2211yescharacteristic, complemented
77#11762743C2211yescharacteristic, complemented
78#11762743C2211yescharacteristic, complemented
79#11762742C2211yescharacteristic, complemented
80#11762742C2211yescharacteristic, complemented
81#11762740C2211yescharacteristic, complemented
82#11762740C2211yescharacteristic, complemented
83#11762740C2211yescharacteristic, complemented
84#11762739C2211yescharacteristic, complemented
85#11762733C2211yescharacteristic
86#11762733C2211yescharacteristic, complemented
87#11762732C2211yescharacteristic
88#11762732C2211yescharacteristic
89#11762732C2211yescharacteristic, complemented
90#11762732C2211yescharacteristic, complemented
91#11762731C2211yescharacteristic
92#11762731C2211yescharacteristic
93#11762731C2211yescharacteristic
94#11762731C2211yescharacteristic, complemented
95#11762731C2211yescharacteristic, complemented
96#11762731C2211yescharacteristic, complemented
97#11762729C2211yescharacteristic, complemented
98#11762729C2211yescharacteristic, complemented
99#11762729C2211yescharacteristic, complemented
100#11762728C2211yescharacteristic, complemented
101#11762726C2211yescharacteristic
102#11762726C2211yescharacteristic
103#11762725C2211yescharacteristic
104#11762725C2211yescharacteristic
105#11762725C2211yescharacteristic, complemented
106#11762724C2211yescharacteristic
107#11762724C2211yescharacteristic
108#11762724C2211yescharacteristic, complemented
109#11762723C2211yescharacteristic
110#11762723C2211yescharacteristic
111#11762722C2211yescharacteristic, complemented
112#11762721C2211yescharacteristic, complemented
113#11762721C2211yescharacteristic, complemented
114#11762720C2211yescharacteristic, complemented
115#11762716C2211yescharacteristic, complemented
116#11762714C2211yescharacteristic, complemented
117#11762713C2211yescharacteristic, complemented
118#11762713C2211yescharacteristic, complemented
119#11762710C2211yescharacteristic
120#11762709C2211yescharacteristic
121#11762709C2211yescharacteristic
122#11762708C2211yescharacteristic, complemented
123#11762708C2211yescharacteristic, complemented
124#11762707C2211yescharacteristic, complemented
125#11762706C2211yescharacteristic, complemented
126#11762706C2211yescharacteristic, complemented
127#11762706C2211yescharacteristic, complemented
128#11762705C2211yescharacteristic, complemented
129#11762704C2211yescharacteristic, complemented
130#11762704C2211yescharacteristic, complemented
131#11762704C2211yescharacteristic, complemented
132#11762703C2211yescharacteristic
133#11762703C2211yescharacteristic
134#11762702C2211yescharacteristic, complemented
135#11762701C2211yescharacteristic
136#11762700C2211yescharacteristic
137#11762700C2211yescharacteristic, complemented
138#11762699C2211yescharacteristic
139#11762699C2211yescharacteristic, complemented
140#11762698C2211yescharacteristic
141#11762697C2211yescharacteristic
142#11762697C2211yescharacteristic
143#11762697C2211yescharacteristic, complemented
144#11762688C2211yescharacteristic
145#11762688C2211yescharacteristic
146#11762687C2211yescharacteristic
147#11762687C2211yescharacteristic
148#11762687C2211yescharacteristic
149#11762687C2211yescharacteristic
150#11762685C2211yescharacteristic
151#11762685C2211yescharacteristic
152#11762685C2211yescharacteristic
153#11762685C2211yescharacteristic
154#11762681C2211yescharacteristic
155#11762681C2211yescharacteristic
156#11762680C2211yescharacteristic
157#11762680C2211yescharacteristic
158#11762680C2211yescharacteristic
159#11762680C2211yescharacteristic
160#11762680C2211yescharacteristic
161#11762680C2211yescharacteristic
162#11762671C2211yescharacteristic
163#11762671C2211yescharacteristic
164#11762669C2211yescharacteristic
165#11762668C2211yescharacteristic
166#11762668C2211yescharacteristic
167#11762668C2211yescharacteristic
168#11762667C2211yescharacteristic
169#11762666C2211yescharacteristic
170#11762666C2211yescharacteristic
171#11762666C2211yescharacteristic
172#11762664C2211yescharacteristic
173#11762664C2211yescharacteristic
174C2×C17×C22⋊Q8C2211yescharacteristic
175C2×C17×C22⋊Q8C2211yescharacteristic
176C2×C17×C22⋊Q8C2211yescharacteristic, complemented
177C2×C17×C22⋊Q8C2211yescharacteristic, complemented
178C17×#396C2211yescharacteristic
179C17×#396C2211yescharacteristic
180C17×#396C2211yescharacteristic, complemented
181C17×#396C2211yescharacteristic, complemented
182C17×#395C2211yescharacteristic, complemented
183C17×#395C2211yescharacteristic, complemented
184C17×#390C2211yescharacteristic
185C17×#389C2211yescharacteristic, complemented
186C17×#389C2211yescharacteristic, complemented
187C17×#386C2211yescharacteristic
188C17×#386C2211yescharacteristic
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×Q8×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C2×Q8×D17—24no—
201C2×Q8×D17—42no—
202C2×Q8×D17—42no—
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×C4×D17—24no—
206C22×C4×D17—42no—
207C22×C4×D17—42no—
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×Dic34C2311yescharacteristic
218C22×Dic34C2311yescharacteristic
219C22×Dic34C2311yescharacteristic
220C17×C22⋊Q8—24no—
221C17×C22⋊Q8—24no—
222C17×C22⋊Q8—42no—
223C17×C22⋊Q8—42no—
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
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×C22⋊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×C42×C17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258#10587632—24no—
259#10587632—24no—
260#10587632—24no—
261#10587632—42no—
262#10587625—42no—
263#10587623—42no—
264#10587615—24no—
265C4×C22⋊D17—24no—
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×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301#10587610—24no—
302#10587610—42no—
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
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#10587582—42no—
338#10587580—24no—
339#10587580—42no—
340#10587579—24no—
341#10587578—42no—
342C4⋊C4×D17—24no—
343C4⋊C4×D17—24no—
344C4⋊C4×D17D418yescomplemented
345#10587575—24no—
346#10587575—24no—
347#10587570—24no—
348#10587570—42no—
349#10587569—24no—
350#10587569—24no—
351#10587569—42no—
352#10587568—42no—
353C22⋊C4×D17—24no—
354C22⋊C4×D17—24no—
355#10587565—24no—
356#10587564—24no—
357#10587564—24no—
358#10587558—42no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
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
403C2×Q8×C17—22no—
404C2×Q8×C17—22no—
405C2×Q8×C17—22no—
406C2×Q8×C17—41no—
407C2×Q8×C17—41no—
408C2×Q8×C17—41no—
409C2×D4×C17—22no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
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—
443C22×Dic17—22no—
444C22×Dic17—22no—
445C22×Dic17—41no—
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459Q8×D17—416no—
460C2×D68—22no—
461C2×D68—22no—
462C2×D68—22no—
463C2×D68—22no—
464C2×D68—41no—
465C2×D68—41no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—416no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17C2×D414yes—
492C2×C4×D17C2×D414yes—
493C2×C4×D17C2×D414yes—
494C2×Dic34—22no—
495C2×Dic34—22no—
496C2×Dic34—22no—
497C2×Dic34—22no—
498C2×Dic34—22no—
499C2×Dic34—22no—
500C2×Dic34—41no—
501C2×Dic34—41no—
502C2×Dic34—41no—
503C4⋊C4×C17—22no—
504C4⋊C4×C17—22no—
505C4⋊C4×C17—22no—
506C4⋊C4×C17—22no—
507C4⋊C4×C17—22no—
508C4⋊C4×C17—22no—
509C4⋊C4×C17—41no—
510C4⋊C4×C17—41no—
511C4⋊C4×C17—41no—
512C4⋊C4×C17—41no—
513C4⋊C4×C17—41no—
514C4⋊C4×C17—41no—
515C4⋊C4×C17C2×D414yes—
516C22⋊C4×C17—22no—
517C22⋊C4×C17—22no—
518C22⋊C4×C17—22no—
519C22⋊C4×C17—22no—
520C22⋊C4×C17—22no—
521C22⋊C4×C17—41no—
522C22⋊C4×C17—41no—
523C22⋊C4×C17—41no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17—41no—
526C42×C17—41no—
527C22⋊Dic17—22no—
528C22⋊Dic17—22no—
529C22⋊Dic17—22no—
530C22⋊Dic17—22no—
531C22⋊Dic17—22no—
532C22⋊Dic17—22no—
533C22⋊Dic17—22no—
534C22⋊Dic17—41no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537#63227—22no—
538#63227—22no—
539#63227—22no—
540#63227—22no—
541#63227—22no—
542#63227—22no—
543#63227—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560#63227—41no—
561#63227—41no—
562#63227—41no—
563C4⋊Dic17—22no—
564C4⋊Dic17—22no—
565C4⋊Dic17—22no—
566C4⋊Dic17—22no—
567C4⋊Dic17—41no—
568C4⋊Dic17—41no—
569C4⋊Dic17—41no—
570C4⋊Dic17—41no—
571C4⋊Dic17C2×D414yes—
572#63225—22no—
573#63225—22no—
574#63225—22no—
575#63225—22no—
576#63225—22no—
577#63225—22no—
578#63225—22no—
579#63225—22no—
580#63225—22no—
581#63225—22no—
582#63225—22no—
583#63225—22no—
584#63225—41no—
585#63225—41no—
586#63225—41no—
587#63225—41no—
588#63225—41no—
589#63225—41no—
590#63225—41no—
591#63225—41no—
592#63225—41no—
593#63225—41no—
594#63225C2×D414yes—
595#63225C2×D414yes—
596C4×Dic17—22no—
597C4×Dic17—22no—
598C4×Dic17—41no—
599C4×Dic17—41no—
600C4×Dic17—41no—
601#36719—171nomaximal, Sylow
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C172−1+412yes—
616C23×C17C2511yescharacteristic
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—28no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—44no—
636C22×D17—44no—
637C22×D17—44no—
638C22×D17—44no—
639C22×D17—44no—
640C22×D17—44no—
641C22×D17C22×D412yes—
642C22×D17H(5,𝔽2)12yes—
643C22×D172−1+412yes—
644C22×D172−1+412yes—
645Q8×C17—44no—
646Q8×C17—82no—
647D4×C17—82no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
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—44no—
684C2×C4×C17—82no—
685C2×C4×C17C22×D412yes—
686C2×C4×C17C22×D412yes—
687C2×C4×C17C22×D412yes—
688C2×C4×C17H(5,𝔽2)12yes—
689C22⋊D17—44no—
690C22⋊D17—82no—
691C22⋊D17—82no—
692C22⋊D17—82no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
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—44no—
729C2×Dic17C22×D412yes—
730C2×Dic17C22×D412yes—
731C2×Dic17C22×D412yes—
732C2×Dic17H(5,𝔽2)12yes—
733D68—44no—
734D68—82no—
735C4×D17—28no—
736C4×D17—28no—
737C4×D17—44no—
738C4×D17—44no—
739C4×D17—44no—
740C4×D17—44no—
741C4×D17—44no—
742C4×D17—44no—
743C4×D17—82no—
744Dic34—44no—
745Dic34—44no—
746Dic34—44no—
747C2×#539—171no—
748C22×C22⋊Q8—171no—
749#2848—171no—
750#2847—171no—
751#2704—171no—
752#2704—171no—
753#2704—171no—
754#2704—171no—
755#2702—171no—
756#2702—171no—
757#2702—171no—
758#2702—171no—
759#2683—171no—
760#2683—171no—
761#2683—171no—
762#2683D1711yescharacteristic, complemented
763#2681—171no—
764#2681—171no—
765#2681—171no—
766#2681—171no—
767#2627—171no—
768#2618—171no—
769#2534—171no—
770#2534—171no—
771#2413—171no—
772#2413—171no—
773#2411—171no—
774#2411—171no—
775#2409—171no—
776#2409—171no—
777#2316—171no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17C23×D411yescharacteristic
793C22×C17C2×H(5,𝔽2)11yescharacteristic
794C22×C17C2×H(5,𝔽2)11yescharacteristic
795C22×C17C2×H(5,𝔽2)11yescharacteristic
796C22×C17C2×2−1+411yescharacteristic
797C22×C17C2×2−1+411yescharacteristic
798C22×C17C2×2−1+411yescharacteristic
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—22no—
804C2×D17—22no—
805C2×D17—22no—
806C2×D17—22no—
807C2×D17—22no—
808C2×D17—416no—
809C2×D17—41no—
810C2×D17—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17#53714yes—
821C4×C17—22no—
822C4×C17—22no—
823C4×C17—22no—
824C4×C17—22no—
825C4×C17—41no—
826C4×C17—41no—
827C4×C17—41no—
828C4×C17—41no—
829C4×C17—41no—
830C4×C17—41no—
831C4×C17—41no—
832C4×C17—41no—
833C4×C17—41no—
834Dic17—22no—
835Dic17—22no—
836Dic17—22no—
837Dic17—22no—
838Dic17—41no—
839Dic17—41no—
840Dic17—41no—
841Dic17—41no—
842Dic17—41no—
843Dic17—41no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847C23×Q8—171no—
848C24×C4—171no—
849#539—348no—
850C2×#126—171no—
851C2×#126—171no—
852C2×#125—171no—
853C2×#125—171no—
854C2×#123—171no—
855C2×#123—171no—
856C2×#123—171no—
857C2×#123—171no—
858C2×#123—171no—
859C2×#123—171no—
860C2×C22⋊Q8—171no—
861C2×C22⋊Q8—171no—
862C2×C22⋊Q8—171no—
863C2×C22⋊Q8—171no—
864C2×C22⋊Q8—171no—
865C2×C22⋊Q8—171no—
866C2×C22⋊Q8—171no—
867C2×C22⋊Q8—171no—
868C2×C22⋊Q8—171no—
869C2×C22⋊Q8—171no—
870C2×C22⋊Q8—171no—
871C2×C22⋊Q8—171no—
872C2×C22⋊Q8—171no—
873C2×C22⋊Q8—348no—
874C2×C22⋊Q8C2×D1711yescharacteristic
875C2×C22⋊Q8C2×D1711yescharacteristic
876C2×C22⋊Q8C2×D1711yescharacteristic, complemented
877C2×C22⋊Q8C2×D1711yescharacteristic, complemented
878C2×#121—171no—
879C2×#121—171no—
880C2×#121—171no—
881C2×#120—171no—
882C2×#120—171no—
883C2×C4×D4—171no—
884C2×C4×D4—171no—
885C2×#117—171no—
886C2×#117—171no—
887C22×C4⋊C4—171no—
888C22×C4⋊C4—171no—
889C22×C4⋊C4—171no—
890C22×C22⋊C4—171no—
891C22×C22⋊C4—171no—
892#400—171no—
893#400—171no—
894#398—171no—
895#398—171no—
896#398—171no—
897#398—171no—
898#398—171no—
899#398—171no—
900#398—171no—
901#398—171no—
902#398—171no—
903#398—171no—
904#396—171no—
905#396—171no—
906#396—171no—
907#396—171no—
908#396—171no—
909#396—171no—
910#396—171no—
911#396—171no—
912#396—171no—
913#396—171no—
914#396—171no—
915#396—171no—
916#396C2×D1711yescharacteristic
917#396C2×D1711yescharacteristic
918#396C2×D1711yescharacteristic, complemented
919#396C2×D1711yescharacteristic, complemented
920#395—171no—
921#395—171no—
922#395—171no—
923#395—171no—
924#395C2×D1711yescharacteristic, complemented
925#395C2×D1711yescharacteristic, complemented
926#394—171no—
927#394—171no—
928#394—171no—
929#394—171no—
930#394—171no—
931#394—171no—
932#394—171no—
933#394—171no—
934#394—171no—
935#394—171no—
936#393—171no—
937#393—171no—
938#393—171no—
939#393—171no—
940#391—171no—
941#391—171no—
942#391—171no—
943#391—171no—
944#390—171no—
945#390—171no—
946#390—171no—
947#390C2×D1711yescharacteristic
948#389—171no—
949#389—171no—
950#389—171no—
951#389—171no—
952#389—171no—
953#389—171no—
954#389—171no—
955#389—171no—
956#389—171no—
957#389—171no—
958#389C2×D1711yescharacteristic, complemented
959#389C2×D1711yescharacteristic, complemented
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#388—171no—
969#388—171no—
970#388—171no—
971#388—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386C2×D1711yescharacteristic
983#386C2×D1711yescharacteristic
984#385—171no—
985#385—171no—
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#381—171no—
993#381—171no—
994#380—171no—
995#380—171no—
996#380—171no—
997#380—171no—
998#380—171no—
999#380—171no—
1000#380—171no—
1001#380—171no—
1002#379—171no—
1003#379—171no—
1004C2×C17—42no—
1005C2×C17—81no—
1006C2×C17C2×#53711yescharacteristic
1007C2×C17#348411yescharacteristic
1008C2×C17#348611yescharacteristic
1009C2×C17#353611yescharacteristic
1010C2×C17#353611yescharacteristic
1011C2×C17#353811yescharacteristic
1012C2×C17#353811yescharacteristic
1013D17—24no—
1014D17—42no—
1015D17—81no—
1016C25—171no—
1017C22×Q8—171no—
1018C22×Q8—171no—
1019C22×Q8—171no—
1020C22×Q8—344no—
1021C22×Q8—682no—
1022C22×Q8—682no—
1023C22×Q8C22×D1711yescharacteristic
1024C22×Q8C22×D1711yescharacteristic
1025C22×D4—171no—
1026C22×D4—171no—
1027C22×D4—171no—
1028C22×D4—171no—
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4C22×D1711yescharacteristic
1032C23×C4—171no—
1033C23×C4—171no—
1034C23×C4—171no—
1035C23×C4—171no—
1036C23×C4—171no—
1037C23×C4—171no—
1038C23×C4—171no—
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4—171no—
1042C23×C4—344no—
1043C23×C4—682no—
1044C23×C4—682no—
1045C23×C4C22×D1711yescharacteristic
1046C23×C4C22×D1711yescharacteristic
1047#126—344no—
1048#126—344no—
1049#125—344no—
1050#125—344no—
1051#123—344no—
1052#123—344no—
1053#123—344no—
1054#123—344no—
1055#123—682no—
1056#123—682no—
1057C22⋊Q8—24no—
1058C22⋊Q8—24no—
1059C22⋊Q8—42no—
1060C22⋊Q8—42no—
1061C22⋊Q8—344no—
1062C22⋊Q8—344no—
1063C22⋊Q8—344no—
1064C22⋊Q8—344no—
1065C22⋊Q8—344no—
1066C22⋊Q8—344no—
1067C22⋊Q8—344no—
1068C22⋊Q8—344no—
1069C22⋊Q8—344no—
1070C22⋊Q8—682no—
1071C22⋊Q8—682no—
1072C22⋊Q8—682no—
1073C22⋊Q8—682no—
1074#121—344no—
1075#121—682no—
1076#121—682no—
1077#120—682no—
1078#120—682no—
1079C4×D4—344no—
1080C4×D4—344no—
1081#117—682no—
1082#117—682no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—178no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—171no—
1100C2×C4⋊C4—171no—
1101C2×C4⋊C4—171no—
1102C2×C4⋊C4—171no—
1103C2×C4⋊C4—171no—
1104C2×C4⋊C4—171no—
1105C2×C4⋊C4—171no—
1106C2×C4⋊C4—171no—
1107C2×C4⋊C4—171no—
1108C2×C4⋊C4—171no—
1109C2×C4⋊C4—171no—
1110C2×C4⋊C4—171no—
1111C2×C4⋊C4—171no—
1112C2×C4⋊C4—171no—
1113C2×C4⋊C4—171no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4—171no—
1116C2×C4⋊C4—171no—
1117C2×C4⋊C4—344no—
1118C2×C4⋊C4—344no—
1119C2×C4⋊C4C22×D1711yescharacteristic
1120C2×C4⋊C4C22×D1711yescharacteristic
1121C2×C4⋊C4C22×D1711yescharacteristic
1122C2×C4⋊C4C22×D1711yescharacteristic
1123C2×C4⋊C4C22×D1711yescharacteristic
1124C2×C4⋊C4C22×D1711yescharacteristic
1125C2×C4⋊C4C22×D1711yescharacteristic
1126C2×C4⋊C4C22×D1711yescharacteristic
1127C2×C4⋊C4C22×D1711yescharacteristic
1128C2×C4⋊C4C22×D1711yescharacteristic
1129C2×C4⋊C4C22×D1711yescharacteristic
1130C2×C4⋊C4C22×D1711yescharacteristic
1131C2×C4⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
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—344no—
1169C2×C22⋊C4—344no—
1170C2×C22⋊C4C22×D1711yescharacteristic
1171C2×C22⋊C4C22×D1711yescharacteristic
1172C2×C22⋊C4C22×D1711yescharacteristic
1173C2×C22⋊C4C22×D1711yescharacteristic
1174C2×C22⋊C4C22×D1711yescharacteristic
1175C2×C22⋊C4C22×D1711yescharacteristic
1176C2×C22⋊C4C22×D1711yescharacteristic
1177C2×C22⋊C4C22×D1711yescharacteristic
1178C2×C22⋊C4C22×D1711yescharacteristic
1179C2×C22⋊C4C22×D1711yescharacteristic
1180C2×C42—171no—
1181C2×C42—171no—
1182C2×C42—171no—
1183C2×C42—171no—
1184C2×C42—171no—
1185C2×C42C22×D1711yescharacteristic
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211#95—171no—
1212#95C22×D1711yescharacteristic
1213#95C22×D1711yescharacteristic
1214#95C22×D1711yescharacteristic
1215#95C22×D1711yescharacteristic
1216#95C22×D1711yescharacteristic
1217#95C22×D1711yescharacteristic
1218C17#3671911yescharacteristic, complemented, Sylow
1219C24—171no—
1220C24—171no—
1221C24—171no—
1222C24—342no—
1223C24—342no—
1224C24—342no—
1225C24—342no—
1226C24—342no—
1227C24—681no—
1228C24—681no—
1229C24C23×D1711yescharacteristic
1230C24C23×D1711yescharacteristic
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—342no—
1238C2×Q8—342no—
1239C2×Q8—342no—
1240C2×Q8—342no—
1241C2×Q8—342no—
1242C2×Q8—342no—
1243C2×Q8—681no—
1244C2×Q8—681no—
1245C2×Q8—681no—
1246C2×Q8—6816no—
1247C2×D4—22no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—342no—
1251C2×D4—342no—
1252C2×D4—342no—
1253C2×D4—342no—
1254C2×D4—342no—
1255C2×D4—342no—
1256C2×D4—342no—
1257C2×D4—342no—
1258C2×D4—342no—
1259C2×D4—342no—
1260C2×D4—681no—
1261C2×D4—681no—
1262C2×D4—681no—
1263C2×D4—681no—
1264C2×D4—681no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—174no—
1279C22×C4—174no—
1280C22×C4—174no—
1281C22×C4—171no—
1282C22×C4—171no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—171no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—342no—
1291C22×C4—342no—
1292C22×C4—342no—
1293C22×C4—342no—
1294C22×C4—342no—
1295C22×C4—342no—
1296C22×C4—342no—
1297C22×C4—342no—
1298C22×C4—342no—
1299C22×C4—342no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4—681no—
1309C22×C4—681no—
1310C22×C4—681no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—6816no—
1317C22×C4—681no—
1318C22×C4C23×D1711yescharacteristic
1319C22×C4C23×D1711yescharacteristic
1320C22×C4C23×D1711yescharacteristic
1321C22×C4C23×D1711yescharacteristic
1322C22×C4C23×D1711yescharacteristic
1323C22×C4C23×D1711yescharacteristic
1324C22×C4C23×D1711yescharacteristic
1325C22×C4C23×D1711yescharacteristic
1326C22×C4C23×D1711yescharacteristic
1327C22×C4C23×D1711yescharacteristic
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—174no—
1344C4⋊C4—174no—
1345C4⋊C4—174no—
1346C4⋊C4—342no—
1347C4⋊C4—342no—
1348C4⋊C4—342no—
1349C4⋊C4—342no—
1350C4⋊C4—342no—
1351C4⋊C4—342no—
1352C4⋊C4—342no—
1353C4⋊C4—342no—
1354C4⋊C4—342no—
1355C4⋊C4—342no—
1356C4⋊C4—342no—
1357C4⋊C4—342no—
1358C4⋊C4—342no—
1359C4⋊C4—342no—
1360C4⋊C4—342no—
1361C4⋊C4—342no—
1362C4⋊C4—681no—
1363C4⋊C4—681no—
1364C4⋊C4—681no—
1365C4⋊C4—681no—
1366C4⋊C4—681no—
1367C4⋊C4—681no—
1368C4⋊C4—681no—
1369C4⋊C4—681no—
1370C4⋊C4—681no—
1371C4⋊C4—681no—
1372C4⋊C4—681no—
1373C4⋊C4—681no—
1374C4⋊C4—681no—
1375C4⋊C4—681no—
1376C4⋊C4D4×D1714yes—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—342no—
1388C22⋊C4—342no—
1389C22⋊C4—342no—
1390C22⋊C4—342no—
1391C22⋊C4—342no—
1392C22⋊C4—342no—
1393C22⋊C4—342no—
1394C22⋊C4—342no—
1395C22⋊C4—342no—
1396C22⋊C4—342no—
1397C22⋊C4—342no—
1398C22⋊C4—342no—
1399C22⋊C4—342no—
1400C22⋊C4—342no—
1401C22⋊C4—342no—
1402C22⋊C4—342no—
1403C22⋊C4—342no—
1404C22⋊C4—342no—
1405C22⋊C4—342no—
1406C22⋊C4—342no—
1407C22⋊C4—342no—
1408C22⋊C4—342no—
1409C22⋊C4—342no—
1410C22⋊C4—342no—
1411C22⋊C4—342no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4—681no—
1418C22⋊C4—681no—
1419C22⋊C4—681no—
1420C22⋊C4—681no—
1421C22⋊C4—681no—
1422C22⋊C4—681no—
1423C42—41no—
1424C42—342no—
1425C42—342no—
1426C42—681no—
1427C42—681no—
1428C42—681no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—172no—
1443C23—172no—
1444C23—172no—
1445C23—172no—
1446C23—348no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—684no—
1465C23—684no—
1466C23—684no—
1467C23—684no—
1468C23—684no—
1469C23—684no—
1470C23#1058769412yes—
1471C23C24×D1711yescharacteristic
1472Q8—44no—
1473Q8—82no—
1474Q8—684no—
1475Q8—684no—
1476Q8—684no—
1477D4—82no—
1478D4—684no—
1479D4—684no—
1480D4—1362no—
1481D4—1362no—
1482D4—1362no—
1483D4—1362no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—172no—
1522C2×C4—172no—
1523C2×C4—172no—
1524C2×C4—172no—
1525C2×C4—348no—
1526C2×C4—348no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—684no—
1563C2×C4—684no—
1564C2×C4—684no—
1565C2×C4—684no—
1566C2×C4—684no—
1567C2×C4—684no—
1568C2×C4—684no—
1569C2×C4—1362no—
1570C2×C4C2×D4×D1712yes—
1571C2×C4C2×D4×D1712yes—
1572C2×C4C2×D4×D1712yes—
1573C2×C4#1058769112yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—174no—
1589C22—342no—
1590C22—342no—
1591C22—342no—
1592C22—342no—
1593C22—342no—
1594C22—342no—
1595C22—342no—
1596C22—342no—
1597C22—342no—
1598C22—6816no—
1599C22—681no—
1600C22—681no—
1601C22—681no—
1602C22—681no—
1603C22—681no—
1604C22—681no—
1605C22—681no—
1606C22—681no—
1607C22—681no—
1608C22—681no—
1609C22—681no—
1610C22C22×D4×D1711yescharacteristic
1611C22H(5,𝔽2)×D1711yescharacteristic
1612C22H(5,𝔽2)×D1711yescharacteristic
1613C22C2×#1058769111yescharacteristic
1614C222−1+4×D1711yescharacteristic
1615C222−1+4×D1711yescharacteristic
1616C22C2×#1058769411yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—342no—
1631C4—342no—
1632C4—342no—
1633C4—342no—
1634C4—681no—
1635C4—681no—
1636C4—681no—
1637C4—681no—
1638C4—681no—
1639C4—681no—
1640C4—681no—
1641C4—681no—
1642C4—681no—
1643C2—42no—
1644C2—81no—
1645C2—344no—
1646C2—682no—
1647C2—1361no—
1648C2D17×#53711yescharacteristic
1649C2#1454241211yescharacteristic
1650C2#1454243411yescharacteristic
1651C2#1454300211yescharacteristic
1652C2#1454301011yescharacteristic
1653C2#1454302511yescharacteristic
1654C2#1454302811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2683C2
prime radical#14537065C2
hypercenter#2683D17
hypocenterC17#36719
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2683

Complements

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

NH ≅ G/Ntype
1. C2×#11763405C2semidirect
2. C2×C22⋊Q8×D17C2semidirect
3. #14537068C2semidirect
5. #14535449C2semidirect
6. #14535447C2semidirect
7. #14535437C2semidirect
8. #14535435C2semidirect
9. #14535418C2semidirect
10. #14535416C2semidirect
11. #14535410C2semidirect
12. #14535408C2semidirect
13. #14535158C2semidirect
14. #14535154C2semidirect
15. #14535154C2semidirect
16. #14535141C2semidirect
17. #14535140C2semidirect
18. #14535133C2semidirect
19. #14535132C2semidirect
20. #14534596C2semidirect
21. #14534531C2semidirect
22. #14533675C2semidirect
23. #14533672C2semidirect
24. #14532188C2semidirect
25. #14532186C2semidirect
26. #14532166C2semidirect
27. #14532164C2semidirect
28. #14532145C2semidirect
29. #14532144C2semidirect
30. #14531399C2semidirect
31. C17×#2683C2semidirect
35. C2×#10587584C22semidirect
36. C2×#10587565C22semidirect
37. C2×#10587575C22semidirect
38. C2×#10587575C22semidirect
41. C2×#10587615C22semidirect
44. C2×#10587569C22semidirect
47. C2×#10587610C22semidirect
50. C2×#10587582C22semidirect
51. C2×#10587582C22semidirect
57. C2×#10587632C22semidirect
73. #11762749C22semidirect
74. #11762748C22semidirect
75. #11762743C22semidirect
76. #11762743C22semidirect
77. #11762743C22semidirect
78. #11762743C22semidirect
79. #11762742C22semidirect
80. #11762742C22semidirect
81. #11762740C22semidirect
82. #11762740C22semidirect
83. #11762740C22semidirect
84. #11762739C22semidirect
86. #11762733C22semidirect
89. #11762732C22semidirect
90. #11762732C22semidirect
94. #11762731C22semidirect
95. #11762731C22semidirect
96. #11762731C22semidirect
97. #11762729C22semidirect
98. #11762729C22semidirect
99. #11762729C22semidirect
100. #11762728C22semidirect
105. #11762725C22semidirect
108. #11762724C22semidirect
111. #11762722C22semidirect
112. #11762721C22semidirect
113. #11762721C22semidirect
114. #11762720C22semidirect
115. #11762716C22semidirect
116. #11762714C22semidirect
117. #11762713C22semidirect
118. #11762713C22semidirect
122. #11762708C22semidirect
123. #11762708C22semidirect
124. #11762707C22semidirect
125. #11762706C22semidirect
126. #11762706C22semidirect
127. #11762706C22semidirect
128. #11762705C22semidirect
129. #11762704C22semidirect
130. #11762704C22semidirect
131. #11762704C22semidirect
134. #11762702C22semidirect
137. #11762700C22semidirect
139. #11762699C22semidirect
143. #11762697C22semidirect
176. C2×C17×C22⋊Q8C22semidirect
177. C2×C17×C22⋊Q8C22semidirect
180. C17×#396C22semidirect
181. C17×#396C22semidirect
182. C17×#395C22semidirect
183. C17×#395C22semidirect
185. C17×#389C22semidirect
186. C17×#389C22semidirect
344. C4⋊C4×D17D4semidirect
762. #2683D17semidirect
876. C2×C22⋊Q8C2×D17semidirect
877. C2×C22⋊Q8C2×D17semidirect
918. #396C2×D17semidirect
919. #396C2×D17semidirect
924. #395C2×D17semidirect
925. #395C2×D17semidirect
958. #389C2×D17semidirect
959. #389C2×D17semidirect
1218. C17#36719semidirect

Maximal subgroups

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

subgroupindex
C2×#117634052
C2×C22⋊Q8×D172
#145370682
#145370652
#145354492
#145354472
#145354372
#145354352
#145354182
#145354162
#145354102
#145354082
#145351582
#145351542
#145351412
#145351402
#145351332
#145351322
#145345962
#145345312
#145336752
#145336722
#145321882
#145321862
#145321662
#145321642
#145321452
#145321442
#145313992
C17×#26832
#3671917