Finite Group Databasebeta

← #17206997

Subgroups — #17206997

Order 4352.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763392C211yesmaximal, characteristic, complemented
2C2×C4×D4×D17C211yesmaximal, characteristic, complemented
3#14537100C211yesmaximal, characteristic, complemented
4#14537086C211yesmaximal, characteristic, complemented
5#14537077C211yesmaximal, characteristic, complemented
6#14537067C211yesmaximal, characteristic, complemented
7#14534683C211yesmaximal, characteristic, complemented
8#14534671C211yesmaximal, characteristic, complemented
9#14534639C211yesmaximal, characteristic, complemented
10#14534625C211yesmaximal, characteristic, complemented
11#14533043C211yesmaximal, characteristic, complemented
12#14532908C211yesmaximal, characteristic, complemented
13#14532833C211yesmaximal, characteristic, complemented
14#14532719C211yesmaximal, characteristic, complemented
15#14532674C211yesmaximal, characteristic, complemented
16#14532673C211yesmaximal, characteristic, complemented
17#14532606C211yesmaximal, characteristic, complemented
18#14532532C211yesmaximal, characteristic, complemented
19#14532524C211yesmaximal, characteristic, complemented
20#14532448C211yesmaximal, characteristic, complemented
21#14532325C211yesmaximal, characteristic, complemented
22#14532318C211yesmaximal, characteristic, complemented
23#14532244C211yesmaximal, characteristic, complemented
24#14532157C211yesmaximal, characteristic, complemented
25#14532156C211yesmaximal, characteristic, complemented
26#14532096C211yesmaximal, characteristic, complemented
27#14531487C211yesmaximal, characteristic, complemented
28#14531444C211yesmaximal, characteristic, complemented
29C4×#10587568C211yesmaximal, characteristic, complemented
30C2×#11762687C211yesmaximal, characteristic, complemented
31C17×#2318C211yesmaximal, characteristic, complemented
32C23×D68C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic, complemented
36#11763392—28no—
37C2×#10587584C2211yescharacteristic, complemented
38C2×#10587562C2211yescharacteristic, complemented
39C2×#10587561C2211yescharacteristic, complemented
40C2×#10587571C2211yescharacteristic, complemented
41C2×#10587580C2211yescharacteristic, complemented
42C2×#10587572C2211yescharacteristic, complemented
43C2×#10587615C2211yescharacteristic, complemented
44C2×#10587583C2211yescharacteristic, complemented
45C2×#10587564C2211yescharacteristic, complemented
46C2×#10587581C2211yescharacteristic
47C2×#10587581C2211yescharacteristic
48C2×#10587581C2211yescharacteristic, complemented
49C2×#10587616C2211yescharacteristic
50C2×#10587616C2211yescharacteristic, complemented
51C2×#10587570C2211yescharacteristic, complemented
52C2×#10587625C2211yescharacteristic
53C2×#10587568C2211yescharacteristic
54C2×#10587568C2211yescharacteristic
55C2×#10587568C2211yescharacteristic
56C2×#10587568C2211yescharacteristic
57C2×#10587568C2211yescharacteristic, complemented
58C2×#10587568C2211yescharacteristic, complemented
59C2×#10587623C2211yescharacteristic
60C2×C4×D68C2211yescharacteristic, complemented
61C2×C4×D68C2211yescharacteristic, complemented
62C2×C4×D68C2211yescharacteristic, complemented
63C2×D4×Dic17C2211yescharacteristic
64C2×#10587579C2211yescharacteristic, complemented
65C2×C4×C22⋊D17C2211yescharacteristic
66C2×C4×C22⋊D17C2211yescharacteristic, complemented
67C2×C4×C22⋊D17C2211yescharacteristic, complemented
68C2×#10587567C2211yescharacteristic
69C2×#10587567C2211yescharacteristic, complemented
70C4×D4×D17—28no—
71C2×C4⋊C4×D17C2211yescharacteristic, complemented
72C22×#63227C2211yescharacteristic
73C22×#63227C2211yescharacteristic, complemented
74C22×#63227C2211yescharacteristic, complemented
75C2×C22⋊C4×D17C2211yescharacteristic
76C2×C22⋊C4×D17C2211yescharacteristic, complemented
77C2×C42×D17C2211yescharacteristic, complemented
78#11762749C2211yescharacteristic, complemented
79#11762749C2211yescharacteristic, complemented
80#11762746C2211yescharacteristic, complemented
81#11762746C2211yescharacteristic, complemented
82#11762739C2211yescharacteristic, complemented
83#11762736C2211yescharacteristic, complemented
84#11762736C2211yescharacteristic, complemented
85#11762734C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic, complemented
87#11762731C2211yescharacteristic, complemented
88#11762731C2211yescharacteristic, complemented
89#11762731C2211yescharacteristic, complemented
90#11762727C2211yescharacteristic, complemented
91#11762727C2211yescharacteristic, complemented
92#11762726C2211yescharacteristic, complemented
93#11762726C2211yescharacteristic, complemented
94#11762726C2211yescharacteristic, complemented
95#11762725C2211yescharacteristic, complemented
96#11762725C2211yescharacteristic, complemented
97#11762725C2211yescharacteristic, complemented
98#11762725C2211yescharacteristic, complemented
99#11762722C2211yescharacteristic, complemented
100#11762722C2211yescharacteristic, complemented
101#11762719C2211yescharacteristic
102#11762719C2211yescharacteristic
103#11762719C2211yescharacteristic, complemented
104#11762719C2211yescharacteristic, complemented
105#11762719C2211yescharacteristic, complemented
106#11762719C2211yescharacteristic, complemented
107#11762718C2211yescharacteristic
108#11762718C2211yescharacteristic
109#11762718C2211yescharacteristic, complemented
110#11762714C2211yescharacteristic, complemented
111#11762711C2211yescharacteristic, complemented
112#11762711C2211yescharacteristic, complemented
113#11762710C2211yescharacteristic, complemented
114#11762701C2211yescharacteristic, complemented
115#11762701C2211yescharacteristic, complemented
116#11762701C2211yescharacteristic, complemented
117#11762701C2211yescharacteristic, complemented
118#11762701C2211yescharacteristic, complemented
119#11762701C2211yescharacteristic, complemented
120#11762701C2211yescharacteristic, complemented
121#11762701C2211yescharacteristic, complemented
122#11762700C2211yescharacteristic, complemented
123#11762700C2211yescharacteristic, complemented
124#11762694C2211yescharacteristic, complemented
125#11762694C2211yescharacteristic, complemented
126#11762694C2211yescharacteristic, complemented
127#11762694C2211yescharacteristic, complemented
128#11762688C2211yescharacteristic
129#11762688C2211yescharacteristic, complemented
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic
137#11762687C2211yescharacteristic
138#11762687C2211yescharacteristic, complemented
139#11762687C2211yescharacteristic, complemented
140#11762687C2211yescharacteristic, complemented
141#11762687C2211yescharacteristic, complemented
142#11762687C2211yescharacteristic, complemented
143#11762687C2211yescharacteristic, complemented
144#11762687C2211yescharacteristic, complemented
145#11762687C2211yescharacteristic, complemented
146#11762687C2211yescharacteristic, complemented
147#11762687C2211yescharacteristic, complemented
148#11762687C2211yescharacteristic, complemented
149#11762687C2211yescharacteristic, complemented
150#11762686C2211yescharacteristic
151#11762686C2211yescharacteristic, complemented
152#11762686C2211yescharacteristic, complemented
153#11762686C2211yescharacteristic, complemented
154#11762684C2211yescharacteristic, complemented
155#11762684C2211yescharacteristic, complemented
156#11762683C2211yescharacteristic, complemented
157#11762683C2211yescharacteristic, complemented
158#11762683C2211yescharacteristic, complemented
159#11762683C2211yescharacteristic, complemented
160#11762683C2211yescharacteristic, complemented
161#11762683C2211yescharacteristic, complemented
162#11762683C2211yescharacteristic, complemented
163#11762683C2211yescharacteristic, complemented
164#11762670C2211yescharacteristic, complemented
165#11762669C2211yescharacteristic, complemented
166#11762666C2211yescharacteristic, complemented
167#11762666C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic, complemented
170#11762664C2211yescharacteristic, complemented
171C4×#63227C2211yescharacteristic, complemented
172C4×#63227C2211yescharacteristic, complemented
173C2×#10587502C2211yescharacteristic, complemented
174C2×C4×D4×C17C2211yescharacteristic
175C17×#388C2211yescharacteristic, complemented
176C17×#388C2211yescharacteristic, complemented
177C17×#387C2211yescharacteristic, complemented
178C17×#387C2211yescharacteristic, complemented
179C17×#386C2211yescharacteristic
180C17×#386C2211yescharacteristic
181C17×#385C2211yescharacteristic, complemented
182C17×#385C2211yescharacteristic, complemented
183C17×#383C2211yescharacteristic, complemented
184C17×#382C2211yescharacteristic, complemented
185C17×#381C2211yescharacteristic, complemented
186C17×#380C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C2×C17×#95C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C2×D4×D17—24no—
207C2×D4×D17—24no—
208C2×D4×D17—24no—
209C22×D68—24no—
210C22×D68—42no—
211C22×D68—42no—
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×D68C2311yescharacteristic
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×D68C2311yescharacteristic
219C22×D68C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×D68C2311yescharacteristic
223C22×D68C2311yescharacteristic
224C22×C4×D17—24no—
225C22×C4×D17—24no—
226C22×C4×D17—42no—
227C22×C4×D17—42no—
228C22×C4×D17—42no—
229C22×C4×D17—42no—
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×C4×D17C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C22×C4×D17C2311yescharacteristic
240C22×Dic34C2311yescharacteristic
241C4×D4×C17D418yescomplemented
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C42×C17C2311yescharacteristic
256C2×C42×C17C2311yescharacteristic
257C2×C42×C17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262#10587625—24no—
263#10587623—24no—
264D4×Dic17—24no—
265#10587616—24no—
266#10587616—24no—
267#10587615—24no—
268C4×C22⋊D17—24no—
269C4×C22⋊D17—24no—
270C4×C22⋊D17—24no—
271C2×#63227—24no—
272C2×#63227—42no—
273C2×#63227—42no—
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×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319C2×C4⋊Dic17C2311yescharacteristic
320C2×C4⋊Dic17C2311yescharacteristic
321C2×C4⋊Dic17C2311yescharacteristic
322C2×C4⋊Dic17C2311yescharacteristic
323C2×C4⋊Dic17C2311yescharacteristic
324C2×C4⋊Dic17C2311yescharacteristic
325C2×C4⋊Dic17C2311yescharacteristic
326C2×C4⋊Dic17C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335C2×C4×Dic17C2311yescharacteristic
336C2×C4×Dic17C2311yescharacteristic
337#10587584—24no—
338#10587583—42no—
339#10587581—42no—
340#10587581—42no—
341#10587581—42no—
342#10587580—24no—
343#10587579—24no—
344C4⋊C4×D17—24no—
345#10587572—42no—
346#10587571—24no—
347#10587570—24no—
348#10587568—24no—
349#10587568—24no—
350#10587568—24no—
351#10587568—42no—
352#10587568—42no—
353#10587568—42no—
354#10587567—24no—
355#10587567—24no—
356C22⋊C4×D17—24no—
357C22⋊C4×D17—24no—
358#10587564—24no—
359#10587562—24no—
360#10587561—24no—
361C4×D68—24no—
362C4×D68—42no—
363C4×D68—42no—
364C42×D17—24no—
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369C17×#95C2311yescharacteristic
370C17×#95C2311yescharacteristic
371C17×#95C2311yescharacteristic
372C17×#95C2311yescharacteristic
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C17×#95C2311yescharacteristic
376C17×#95C2311yescharacteristic
377C17×#95C2311yescharacteristic
378C17×#95C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391#10587502C2311yescharacteristic
392#10587502C2311yescharacteristic
393#10587502C2311yescharacteristic
394#10587502C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397C24×C17C2411yescharacteristic
398C24×C17C2411yescharacteristic
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—22no—
404C23×D17—22no—
405C23×D17—22no—
406C23×D17—22no—
407C23×D17—22no—
408C23×D17—22no—
409C23×D17—22no—
410C23×D17—22no—
411C23×D17—41no—
412C23×D17—41no—
413C23×D17—41no—
414C23×D17—41no—
415C23×D17—41no—
416C23×D17—41no—
417C23×D17—41no—
418C23×D17—41no—
419C23×D17#4114yes—
420C23×D17C2411yescharacteristic
421C23×D17C2411yescharacteristic
422C23×D17C2411yescharacteristic
423C23×D17C2411yescharacteristic
424C23×D17C2411yescharacteristic
425C23×D17C2411yescharacteristic
426C2×D4×C17—22no—
427C2×D4×C17—22no—
428C2×D4×C17C2×D414yes—
429C22×C4×C17—22no—
430C22×C4×C17—22no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17—41no—
438C22×C4×C17—41no—
439C22×C4×C17C2×D414yes—
440C22×C4×C17C2×D414yescomplemented
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C2×C22⋊D17—22no—
455C2×C22⋊D17—22no—
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—22no—
461C2×C22⋊D17—22no—
462C2×C22⋊D17—22no—
463C2×C22⋊D17—22no—
464C2×C22⋊D17—22no—
465C2×C22⋊D17—41no—
466C2×C22⋊D17—41no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17#4114yes—
472C22×Dic17—22no—
473C22×Dic17—22no—
474C22×Dic17—22no—
475C22×Dic17—22no—
476C22×Dic17—22no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491D4×D17—232no—
492C2×D68—22no—
493C2×D68—22no—
494C2×D68—22no—
495C2×D68—22no—
496C2×D68—22no—
497C2×D68—22no—
498C2×D68—22no—
499C2×D68—22no—
500C2×D68—22no—
501C2×D68—22no—
502C2×D68—22no—
503C2×D68—22no—
504C2×D68—22no—
505C2×D68—22no—
506C2×D68—22no—
507C2×D68—22no—
508C2×D68—22no—
509C2×D68—22no—
510C2×D68—22no—
511C2×D68—22no—
512C2×D68—41no—
513C2×D68—41no—
514C2×D68—41no—
515C2×D68—41no—
516C2×D68—41no—
517C2×D68—41no—
518C2×D68—416no—
519C2×D68—41no—
520C2×D68—41no—
521C2×D68—41no—
522C2×D68—41no—
523C2×D68—41no—
524C2×D68—41no—
525C2×D68—41no—
526C2×D68—41no—
527C2×D68—41no—
528C2×D68—41no—
529C2×C4×D17—22no—
530C2×C4×D17—22no—
531C2×C4×D17—22no—
532C2×C4×D17—22no—
533C2×C4×D17—22no—
534C2×C4×D17—22no—
535C2×C4×D17—22no—
536C2×C4×D17—22no—
537C2×C4×D17—22no—
538C2×C4×D17—22no—
539C2×C4×D17—22no—
540C2×C4×D17—22no—
541C2×C4×D17—22no—
542C2×C4×D17—22no—
543C2×C4×D17—22no—
544C2×C4×D17—22no—
545C2×C4×D17—22no—
546C2×C4×D17—22no—
547C2×C4×D17—22no—
548C2×C4×D17—416no—
549C2×C4×D17—416no—
550C2×C4×D17—41no—
551C2×C4×D17—41no—
552C2×C4×D17—41no—
553C2×C4×D17—41no—
554C2×C4×D17—41no—
555C2×C4×D17—41no—
556C2×C4×D17—41no—
557C2×C4×D17—41no—
558C2×C4×D17—41no—
559C2×C4×D17—41no—
560C2×C4×D17—41no—
561C2×Dic34—22no—
562C2×Dic34—41no—
563C2×Dic34—41no—
564C4⋊C4×C17—41no—
565C4⋊C4×C17—41no—
566C4⋊C4×C17—41no—
567C4⋊C4×C17—41no—
568C4⋊C4×C17C2×D414yescomplemented
569C22⋊C4×C17—22no—
570C22⋊C4×C17—22no—
571C22⋊C4×C17—41no—
572C22⋊C4×C17—41no—
573C22⋊C4×C17—41no—
574C22⋊C4×C17—41no—
575C22⋊C4×C17C2×D414yes—
576C22⋊C4×C17C2×D414yescomplemented
577C42×C17—41no—
578C42×C17—41no—
579C42×C17C2×D414yescomplemented
580C22⋊Dic17—22no—
581C22⋊Dic17—22no—
582C22⋊Dic17—22no—
583C22⋊Dic17—22no—
584#63227—22no—
585#63227—22no—
586#63227—22no—
587#63227—22no—
588#63227—22no—
589#63227—22no—
590#63227—22no—
591#63227—22no—
592#63227—22no—
593#63227—22no—
594#63227—22no—
595#63227—22no—
596#63227—22no—
597#63227—22no—
598#63227—22no—
599#63227—22no—
600#63227—22no—
601#63227—22no—
602#63227—22no—
603#63227—22no—
604#63227—22no—
605#63227—22no—
606#63227—22no—
607#63227—22no—
608#63227—22no—
609#63227—22no—
610#63227—22no—
611#63227—41no—
612#63227—41no—
613#63227—41no—
614#63227—41no—
615#63227—41no—
616#63227—41no—
617#63227—41no—
618#63227—41no—
619#63227—41no—
620#63227—41no—
621#63227—41no—
622#63227—41no—
623#63227—41no—
624#63227—41no—
625#63227—41no—
626#63227—41no—
627#63227—41no—
628C4⋊Dic17—22no—
629C4⋊Dic17—22no—
630C4⋊Dic17—22no—
631C4⋊Dic17—22no—
632C4⋊Dic17—41no—
633C4⋊Dic17—41no—
634C4⋊Dic17—41no—
635C4⋊Dic17—41no—
636C4⋊Dic17—41no—
637#63225—22no—
638#63225—22no—
639#63225—22no—
640#63225—22no—
641#63225—22no—
642#63225—22no—
643C4×Dic17—22no—
644C4×Dic17—22no—
645C4×Dic17—22no—
646C4×Dic17—22no—
647#34990—171nomaximal, Sylow
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17—21no—
658C23×C17C22×D412yes—
659C23×C17C22×D412yes—
660C23×C17C2×#4112yes—
661C23×C17C2×#4112yes—
662C23×C17C2511yescharacteristic
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—28no—
668C22×D17—28no—
669C22×D17—21no—
670C22×D17—21no—
671C22×D17—21no—
672C22×D17—21no—
673C22×D17—21no—
674C22×D17—21no—
675C22×D17—21no—
676C22×D17—21no—
677C22×D17—21no—
678C22×D17—21no—
679C22×D17—21no—
680C22×D17—21no—
681C22×D17—28no—
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—21no—
685C22×D17—21no—
686C22×D17—21no—
687C22×D17—21no—
688C22×D17—21no—
689C22×D17—21no—
690C22×D17—21no—
691C22×D17—21no—
692C22×D17—21no—
693C22×D17—21no—
694C22×D17—21no—
695C22×D17—21no—
696C22×D17—21no—
697C22×D17—21no—
698C22×D17—21no—
699C22×D17—21no—
700C22×D17—21no—
701C22×D17—21no—
702C22×D17—21no—
703C22×D17—44no—
704C22×D17—44no—
705C22×D17—44no—
706C22×D17—44no—
707C22×D17—44no—
708C22×D17—44no—
709C22×D17—44no—
710C22×D17—44no—
711C22×D17—44no—
712C22×D17—44no—
713C22×D17—44no—
714C22×D17—44no—
715C22×D17—44no—
716C22×D17—44no—
717C22×D17—82no—
718C22×D17—82no—
719C22×D17—82no—
720C22×D17—82no—
721C22×D17C2×#4112yes—
722C22×D17C2×#4112yes—
723C22×D17C2×#4112yes—
724C22×D17H(5,𝔽2)12yes—
725C22×D17H(5,𝔽2)12yes—
726D4×C17—28no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—21no—
749C2×C4×C17—21no—
750C2×C4×C17—21no—
751C2×C4×C17—21no—
752C2×C4×C17—21no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—44no—
762C2×C4×C17—44no—
763C2×C4×C17—44no—
764C2×C4×C17—82no—
765C2×C4×C17C22×D412yes—
766C2×C4×C17C22×D412yes—
767C2×C4×C17C22×D412yes—
768C2×C4×C17C22×D412yes—
769C2×C4×C17C22×D412yes—
770C22⋊D17—28no—
771C22⋊D17—28no—
772C22⋊D17—44no—
773C22⋊D17—82no—
774C22⋊D17—82no—
775C22⋊D17—82no—
776C2×Dic17—21no—
777C2×Dic17—21no—
778C2×Dic17—21no—
779C2×Dic17—21no—
780C2×Dic17—21no—
781C2×Dic17—21no—
782C2×Dic17—21no—
783C2×Dic17—21no—
784C2×Dic17—21no—
785C2×Dic17—21no—
786C2×Dic17—21no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—21no—
790C2×Dic17—21no—
791C2×Dic17—21no—
792C2×Dic17—21no—
793C2×Dic17—21no—
794C2×Dic17—21no—
795C2×Dic17—21no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—44no—
805C2×Dic17—44no—
806C2×Dic17—82no—
807C2×Dic17C2×#4112yes—
808C2×Dic17H(5,𝔽2)12yes—
809D68—28no—
810D68—44no—
811D68—44no—
812D68—44no—
813D68—44no—
814D68—44no—
815D68—44no—
816D68—82no—
817D68—82no—
818D68—82no—
819D68—82no—
820D68—82no—
821C4×D17—28no—
822C4×D17—28no—
823C4×D17—44no—
824C4×D17—44no—
825C4×D17—44no—
826C4×D17—44no—
827C4×D17—44no—
828C4×D17—44no—
829C4×D17—44no—
830C4×D17—82no—
831Dic34—82no—
832C2×#538—171no—
833C22×C4×D4—171no—
834#2852—171no—
835#2850—171no—
836#2849—171no—
837#2847—171no—
838#2636—171no—
839#2635—171no—
840#2631—171no—
841#2630—171no—
842#2481—171no—
843#2472—171no—
844#2467—171no—
845#2459—171no—
846#2456—171no—
847#2456—171no—
848#2450—171no—
849#2444—171no—
850#2443—171no—
851#2437—171no—
852#2424—171no—
853#2424—171no—
854#2418—171no—
855#2410—171no—
856#2410—171no—
857#2403—171no—
858#2325—171no—
859#2321—171no—
860#2318D1711yescharacteristic, complemented
861C4×#120—171no—
862C2×#386—171no—
863C22×C17—22no—
864C22×C17—22no—
865C22×C17—22no—
866C22×C17—22no—
867C22×C17—22no—
868C22×C17—22no—
869C22×C17—22no—
870C22×C17—22no—
871C22×C17—22no—
872C22×C17—41no—
873C22×C17—41no—
874C22×C17—41no—
875C22×C17—41no—
876C22×C17#52514yes—
877C22×C17C23×D411yescharacteristic
878C22×C17C22×#4111yescharacteristic
879C22×C17C22×#4111yescharacteristic
880C22×C17C2×H(5,𝔽2)11yescharacteristic
881C22×C17C2×H(5,𝔽2)11yescharacteristic
882C22×C17C2×H(5,𝔽2)11yescharacteristic
883C22×C17#58511yescharacteristic
884C2×D17—22no—
885C2×D17—22no—
886C2×D17—22no—
887C2×D17—22no—
888C2×D17—22no—
889C2×D17—22no—
890C2×D17—22no—
891C2×D17—22no—
892C2×D17—22no—
893C2×D17—22no—
894C2×D17—22no—
895C2×D17—22no—
896C2×D17—416no—
897C2×D17—416no—
898C2×D17—41no—
899C2×D17—41no—
900C2×D17—41no—
901C2×D17—41no—
902C2×D17—41no—
903C2×D17—41no—
904C2×D17—41no—
905C2×D17—41no—
906C2×D17—41no—
907C2×D17—41no—
908C2×D17—41no—
909C2×D17—41no—
910C2×D17—41no—
911C2×D17—41no—
912C2×D17—41no—
913C2×D17—41no—
914C2×D17—41no—
915C2×D17—41no—
916C2×D17—41no—
917C2×D17—41no—
918C2×D17—41no—
919C2×D17—41no—
920C2×D17—41no—
921C2×D17—41no—
922C2×D17—41no—
923C2×D17—41no—
924C2×D17—41no—
925C2×D17—41no—
926C2×D17—41no—
927C2×D17—88no—
928C2×D17#53814yescomplemented
929C4×C17—22no—
930C4×C17—22no—
931C4×C17—22no—
932C4×C17—22no—
933C4×C17—22no—
934C4×C17—41no—
935C4×C17—41no—
936C4×C17—41no—
937C4×C17—41no—
938C4×C17—41no—
939C4×C17—41no—
940C4×C17—41no—
941C4×C17—41no—
942Dic17—22no—
943Dic17—22no—
944Dic17—41no—
945Dic17—41no—
946Dic17—41no—
947Dic17—41no—
948Dic17—41no—
949Dic17—41no—
950Dic17—41no—
951Dic17—41no—
952C23×D4—171no—
953C23×D4—171no—
954C24×C4—171no—
955C24×C4—171no—
956#538—348no—
957C2×#126—171no—
958C2×#126—171no—
959C2×#124—171no—
960C2×#124—171no—
961C2×#123—171no—
962C2×#123—171no—
963C2×#123—171no—
964C2×C22⋊Q8—171no—
965C2×C22⋊Q8—171no—
966C2×#121—171no—
967C2×#121—171no—
968C2×#121—171no—
969C2×#121—171no—
970C2×#121—171no—
971C2×#121—171no—
972C2×#121—171no—
973C2×#120—171no—
974C2×#120—171no—
975C2×#120—171no—
976C2×#120—171no—
977C2×#120—171no—
978C2×#120—171no—
979C2×#120—171no—
980C2×C4×D4—171no—
981C2×C4×D4—171no—
982C2×C4×D4—171no—
983C2×C4×D4—171no—
984C2×C4×D4—171no—
985C2×C4×D4—171no—
986C2×C4×D4—171no—
987C2×C4×D4—171no—
988C2×C4×D4—171no—
989C2×C4×D4—171no—
990C2×C4×D4—348no—
991C2×C4×D4C2×D1711yescharacteristic
992C22×C4⋊C4—171no—
993C22×C22⋊C4—171no—
994C22×C22⋊C4—171no—
995C22×C22⋊C4—171no—
996C22×C22⋊C4—171no—
997C22×C22⋊C4—171no—
998C22×C42—171no—
999#400—171no—
1000#400—171no—
1001#399—171no—
1002#399—171no—
1003#398—171no—
1004#397—171no—
1005#397—171no—
1006#397—171no—
1007#396—171no—
1008#396—171no—
1009#396—171no—
1010#396—171no—
1011#394—171no—
1012#394—171no—
1013#394—171no—
1014#394—171no—
1015#394—171no—
1016#394—171no—
1017#394—171no—
1018#394—171no—
1019#394—171no—
1020#393—171no—
1021#393—171no—
1022#392—171no—
1023#392—171no—
1024#392—171no—
1025#392—171no—
1026#392—171no—
1027#392—171no—
1028#392—171no—
1029#392—171no—
1030#392—171no—
1031#391—171no—
1032#390—171no—
1033#390—171no—
1034#390—171no—
1035#388—171no—
1036#388—171no—
1037#388—171no—
1038#388—171no—
1039#388—171no—
1040#388—171no—
1041#388—171no—
1042#388—171no—
1043#388—171no—
1044#388—171no—
1045#388C2×D1711yescharacteristic, complemented
1046#388C2×D1711yescharacteristic, complemented
1047#387—171no—
1048#387—171no—
1049#387—171no—
1050#387—171no—
1051#387C2×D1711yescharacteristic, complemented
1052#387C2×D1711yescharacteristic, complemented
1053#386—171no—
1054#386—171no—
1055#386—171no—
1056#386—171no—
1057#386—171no—
1058#386—171no—
1059#386—171no—
1060#386—171no—
1061#386—171no—
1062#386—171no—
1063#386—171no—
1064#386—171no—
1065#386—171no—
1066#386—171no—
1067#386—171no—
1068#386—171no—
1069#386—171no—
1070#386—171no—
1071#386—171no—
1072#386—171no—
1073#386—171no—
1074#386—171no—
1075#386—171no—
1076#386—171no—
1077#386—171no—
1078#386—171no—
1079#386C2×D1711yescharacteristic
1080#386C2×D1711yescharacteristic
1081#385—171no—
1082#385—171no—
1083#385—171no—
1084#385—171no—
1085#385—171no—
1086#385—171no—
1087#385—171no—
1088#385—171no—
1089#385—171no—
1090#385—171no—
1091#385C2×D1711yescharacteristic, complemented
1092#385C2×D1711yescharacteristic, complemented
1093#383C2×D1711yescharacteristic, complemented
1094#382C2×D1711yescharacteristic, complemented
1095#381—171no—
1096#381C2×D1711yescharacteristic, complemented
1097#380—171no—
1098#380—171no—
1099#380—171no—
1100#380C2×D1711yescharacteristic, complemented
1101#379—171no—
1102#379—171no—
1103#379—171no—
1104C4×C22⋊C4—171no—
1105C4×C22⋊C4—171no—
1106C4×C22⋊C4C2×D1711yescharacteristic, complemented
1107C2×#95—171no—
1108C2×#95C2×D1711yescharacteristic, complemented
1109C2×C17—24no—
1110C2×C17—42no—
1111C2×C17C2×#52511yescharacteristic
1112C2×C17C2×#53811yescharacteristic
1113C2×C17#345911yescharacteristic
1114C2×C17#348411yescharacteristic
1115C2×C17#348811yescharacteristic
1116C2×C17#351311yescharacteristic
1117C2×C17#351911yescharacteristic
1118D17—24no—
1119D17—42no—
1120D17—42no—
1121D17—81no—
1122D17—81no—
1123D17—81no—
1124C25—171no—
1125C25—171no—
1126C25—171no—
1127C22×Q8—171no—
1128C22×D4—171no—
1129C22×D4—171no—
1130C22×D4—171no—
1131C22×D4—171no—
1132C22×D4—171no—
1133C22×D4—171no—
1134C22×D4—171no—
1135C22×D4—171no—
1136C22×D4—171no—
1137C22×D4—171no—
1138C22×D4—171no—
1139C22×D4—171no—
1140C22×D4—171no—
1141C22×D4—171no—
1142C22×D4—171no—
1143C22×D4—171no—
1144C22×D4—171no—
1145C22×D4—171no—
1146C22×D4—344no—
1147C22×D4—344no—
1148C22×D4—344no—
1149C22×D4—344no—
1150C22×D4—682no—
1151C22×D4—682no—
1152C22×D4C22×D1711yescharacteristic
1153C23×C4—171no—
1154C23×C4—171no—
1155C23×C4—171no—
1156C23×C4—171no—
1157C23×C4—171no—
1158C23×C4—171no—
1159C23×C4—171no—
1160C23×C4—171no—
1161C23×C4—171no—
1162C23×C4—171no—
1163C23×C4—171no—
1164C23×C4—171no—
1165C23×C4—171no—
1166C23×C4—344no—
1167C23×C4—344no—
1168C23×C4—682no—
1169C23×C4—682no—
1170C23×C4—682no—
1171C23×C4—682no—
1172C23×C4C22×D1711yescharacteristic
1173C23×C4C22×D1711yescharacteristic
1174C23×C4C22×D1711yescharacteristic
1175C23×C4C22×D1711yescharacteristic
1176#126—344no—
1177#126—344no—
1178#124—344no—
1179#124—344no—
1180#123—344no—
1181#123—344no—
1182#123—682no—
1183C22⋊Q8—344no—
1184C22⋊Q8—682no—
1185#121—344no—
1186#121—344no—
1187#121—344no—
1188#121—344no—
1189#121—682no—
1190#121—682no—
1191#121—682no—
1192#120—344no—
1193#120—344no—
1194#120—344no—
1195#120—344no—
1196#120—682no—
1197#120—682no—
1198#120—682no—
1199C4×D4—344no—
1200C4×D4—344no—
1201C4×D4—344no—
1202C4×D4—344no—
1203C4×D4—344no—
1204C4×D4—344no—
1205C4×D4—344no—
1206C4×D4—344no—
1207C4×D4—682no—
1208C4×D4—682no—
1209C4×D4D6818yescomplemented
1210C2×C4⋊C4—171no—
1211C2×C4⋊C4—171no—
1212C2×C4⋊C4—171no—
1213C2×C4⋊C4—171no—
1214C2×C4⋊C4—171no—
1215C2×C4⋊C4—171no—
1216C2×C4⋊C4—171no—
1217C2×C4⋊C4—171no—
1218C2×C4⋊C4—171no—
1219C2×C4⋊C4—171no—
1220C2×C4⋊C4—171no—
1221C2×C4⋊C4—171no—
1222C2×C4⋊C4—171no—
1223C2×C4⋊C4—171no—
1224C2×C4⋊C4—171no—
1225C2×C4⋊C4—344no—
1226C2×C4⋊C4C22×D1711yescharacteristic
1227C2×C4⋊C4C22×D1711yescharacteristic
1228C2×C4⋊C4C22×D1711yescharacteristic
1229C2×C4⋊C4C22×D1711yescharacteristic
1230C2×C4⋊C4C22×D1711yescharacteristic
1231C2×C22⋊C4—171no—
1232C2×C22⋊C4—171no—
1233C2×C22⋊C4—171no—
1234C2×C22⋊C4—171no—
1235C2×C22⋊C4—171no—
1236C2×C22⋊C4—171no—
1237C2×C22⋊C4—171no—
1238C2×C22⋊C4—171no—
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—171no—
1242C2×C22⋊C4—171no—
1243C2×C22⋊C4—171no—
1244C2×C22⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—171no—
1250C2×C22⋊C4—171no—
1251C2×C22⋊C4—171no—
1252C2×C22⋊C4—171no—
1253C2×C22⋊C4—171no—
1254C2×C22⋊C4—171no—
1255C2×C22⋊C4—171no—
1256C2×C22⋊C4—171no—
1257C2×C22⋊C4—171no—
1258C2×C22⋊C4—171no—
1259C2×C22⋊C4—171no—
1260C2×C22⋊C4—171no—
1261C2×C22⋊C4—171no—
1262C2×C22⋊C4—171no—
1263C2×C22⋊C4—171no—
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—171no—
1266C2×C22⋊C4—171no—
1267C2×C22⋊C4—171no—
1268C2×C22⋊C4—171no—
1269C2×C22⋊C4—171no—
1270C2×C22⋊C4—171no—
1271C2×C22⋊C4—171no—
1272C2×C22⋊C4—171no—
1273C2×C22⋊C4—171no—
1274C2×C22⋊C4—171no—
1275C2×C22⋊C4—171no—
1276C2×C22⋊C4—171no—
1277C2×C22⋊C4—171no—
1278C2×C22⋊C4—171no—
1279C2×C22⋊C4—344no—
1280C2×C22⋊C4—344no—
1281C2×C22⋊C4—344no—
1282C2×C22⋊C4—682no—
1283C2×C22⋊C4—682no—
1284C2×C22⋊C4C22×D1711yescharacteristic
1285C2×C22⋊C4C22×D1711yescharacteristic
1286C2×C22⋊C4C22×D1711yescharacteristic
1287C2×C22⋊C4C22×D1711yescharacteristic
1288C2×C22⋊C4C22×D1711yescharacteristic
1289C2×C22⋊C4C22×D1711yescharacteristic
1290C2×C22⋊C4C22×D1711yescharacteristic
1291C2×C22⋊C4C22×D1711yescharacteristic
1292C2×C42—171no—
1293C2×C42—171no—
1294C2×C42—171no—
1295C2×C42—171no—
1296C2×C42—344no—
1297C2×C42C22×D1711yescharacteristic
1298C2×C42C22×D1711yescharacteristic
1299C2×C42C22×D1711yescharacteristic
1300#95—171no—
1301#95—171no—
1302#95—171no—
1303#95—171no—
1304#95—171no—
1305#95—171no—
1306#95—171no—
1307#95—171no—
1308#95—171no—
1309#95—171no—
1310#95—171no—
1311#95—171no—
1312#95—171no—
1313#95—171no—
1314#95—171no—
1315#95—171no—
1316#95—171no—
1317#95—171no—
1318#95C22×D1711yescharacteristic
1319#95C22×D1711yescharacteristic
1320#95C22×D1711yescharacteristic
1321#95C22×D1711yescharacteristic
1322#95C22×D1711yescharacteristic
1323#95C22×D1711yescharacteristic
1324#95C22×D1711yescharacteristic
1325#95C22×D1711yescharacteristic
1326#95C22×D1711yescharacteristic
1327#95C22×D1711yescharacteristic
1328#95C22×D1711yescharacteristic
1329#95C22×D1711yescharacteristic
1330#95C22×D1711yescharacteristic
1331#95C22×D1711yescharacteristic
1332C17#3499011yescharacteristic, complemented, Sylow
1333C24—171no—
1334C24—171no—
1335C24—171no—
1336C24—174no—
1337C24—171no—
1338C24—171no—
1339C24—171no—
1340C24—342no—
1341C24—342no—
1342C24—342no—
1343C24—342no—
1344C24—342no—
1345C24—342no—
1346C24—342no—
1347C24—342no—
1348C24—342no—
1349C24—342no—
1350C24—342no—
1351C24—342no—
1352C24—681no—
1353C24—681no—
1354C24—681no—
1355C24—681no—
1356C24—681no—
1357C24—681no—
1358C24—681no—
1359C24—681no—
1360C24C23×D1711yescharacteristic
1361C24C23×D1711yescharacteristic
1362C2×Q8—342no—
1363C2×Q8—681no—
1364C2×Q8—681no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—174no—
1368C2×D4—342no—
1369C2×D4—342no—
1370C2×D4—342no—
1371C2×D4—342no—
1372C2×D4—342no—
1373C2×D4—342no—
1374C2×D4—342no—
1375C2×D4—342no—
1376C2×D4—342no—
1377C2×D4—342no—
1378C2×D4—342no—
1379C2×D4—342no—
1380C2×D4—342no—
1381C2×D4—342no—
1382C2×D4—342no—
1383C2×D4—342no—
1384C2×D4—342no—
1385C2×D4—342no—
1386C2×D4—3432no—
1387C2×D4—342no—
1388C2×D4—342no—
1389C2×D4—342no—
1390C2×D4—342no—
1391C2×D4—342no—
1392C2×D4—342no—
1393C2×D4—342no—
1394C2×D4—342no—
1395C2×D4—342no—
1396C2×D4—342no—
1397C2×D4—342no—
1398C2×D4—342no—
1399C2×D4—342no—
1400C2×D4—681no—
1401C2×D4—681no—
1402C2×D4—681no—
1403C2×D4—681no—
1404C2×D4—681no—
1405C2×D4—681no—
1406C2×D4—681no—
1407C2×D4—681no—
1408C2×D4—681no—
1409C2×D4—681no—
1410C2×D4—681no—
1411C2×D4—681no—
1412C2×D4—681no—
1413C2×D4—681no—
1414C2×D4—681no—
1415C2×D4—681no—
1416C2×D4—6816no—
1417C2×D4—681no—
1418C2×D4—681no—
1419C2×D4—681no—
1420C2×D4—681no—
1421C2×D4—681no—
1422C2×D4—681no—
1423C2×D4C2×D6814yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—171no—
1435C22×C4—171no—
1436C22×C4—171no—
1437C22×C4—171no—
1438C22×C4—171no—
1439C22×C4—171no—
1440C22×C4—171no—
1441C22×C4—171no—
1442C22×C4—171no—
1443C22×C4—171no—
1444C22×C4—342no—
1445C22×C4—342no—
1446C22×C4—342no—
1447C22×C4—342no—
1448C22×C4—342no—
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—681no—
1469C22×C4—681no—
1470C22×C4—681no—
1471C22×C4—681no—
1472C22×C4—681no—
1473C22×C4—681no—
1474C22×C4—681no—
1475C22×C4—681no—
1476C22×C4—681no—
1477C22×C4—681no—
1478C22×C4—681no—
1479C22×C4—6816no—
1480C22×C4—6816no—
1481C22×C4—681no—
1482C22×C4—681no—
1483C22×C4—681no—
1484C22×C4—681no—
1485C22×C4C2×D6814yes—
1486C22×C4C2×D6814yescomplemented
1487C22×C4C23×D1711yescharacteristic
1488C22×C4C23×D1711yescharacteristic
1489C22×C4C23×D1711yescharacteristic
1490C22×C4C23×D1711yescharacteristic
1491C22×C4C23×D1711yescharacteristic
1492C22×C4C23×D1711yescharacteristic
1493C22×C4C23×D1711yescharacteristic
1494C22×C4C23×D1711yescharacteristic
1495C22×C4C23×D1711yescharacteristic
1496C22×C4C23×D1711yescharacteristic
1497C22×C4C23×D1711yescharacteristic
1498C22×C4C23×D1711yescharacteristic
1499C22×C4C23×D1711yescharacteristic
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—342no—
1505C4⋊C4—342no—
1506C4⋊C4—342no—
1507C4⋊C4—342no—
1508C4⋊C4—342no—
1509C4⋊C4—342no—
1510C4⋊C4—342no—
1511C4⋊C4—342no—
1512C4⋊C4—342no—
1513C4⋊C4—342no—
1514C4⋊C4—681no—
1515C4⋊C4—681no—
1516C4⋊C4—681no—
1517C4⋊C4—681no—
1518C4⋊C4—681no—
1519C4⋊C4C2×D6814yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—342no—
1527C22⋊C4—342no—
1528C22⋊C4—342no—
1529C22⋊C4—342no—
1530C22⋊C4—342no—
1531C22⋊C4—342no—
1532C22⋊C4—342no—
1533C22⋊C4—342no—
1534C22⋊C4—342no—
1535C22⋊C4—342no—
1536C22⋊C4—342no—
1537C22⋊C4—342no—
1538C22⋊C4—342no—
1539C22⋊C4—342no—
1540C22⋊C4—342no—
1541C22⋊C4—342no—
1542C22⋊C4—342no—
1543C22⋊C4—342no—
1544C22⋊C4—342no—
1545C22⋊C4—342no—
1546C22⋊C4—342no—
1547C22⋊C4—342no—
1548C22⋊C4—342no—
1549C22⋊C4—342no—
1550C22⋊C4—342no—
1551C22⋊C4—342no—
1552C22⋊C4—342no—
1553C22⋊C4—342no—
1554C22⋊C4—342no—
1555C22⋊C4—342no—
1556C22⋊C4—342no—
1557C22⋊C4—681no—
1558C22⋊C4—681no—
1559C22⋊C4—681no—
1560C22⋊C4—681no—
1561C22⋊C4—681no—
1562C22⋊C4—681no—
1563C22⋊C4—681no—
1564C22⋊C4—681no—
1565C22⋊C4—681no—
1566C22⋊C4—681no—
1567C22⋊C4—681no—
1568C22⋊C4—681no—
1569C22⋊C4—681no—
1570C22⋊C4—681no—
1571C22⋊C4—681no—
1572C22⋊C4—681no—
1573C22⋊C4—681no—
1574C22⋊C4C2×D6814yes—
1575C22⋊C4C2×D6814yescomplemented
1576C42—41no—
1577C42—41no—
1578C42—342no—
1579C42—342no—
1580C42—342no—
1581C42—342no—
1582C42C2×D6814yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—172no—
1594C23—172no—
1595C23—172no—
1596C23—172no—
1597C23—172no—
1598C23—348no—
1599C23—348no—
1600C23—341no—
1601C23—341no—
1602C23—341no—
1603C23—341no—
1604C23—348no—
1605C23—341no—
1606C23—341no—
1607C23—341no—
1608C23—341no—
1609C23—341no—
1610C23—341no—
1611C23—341no—
1612C23—341no—
1613C23—341no—
1614C23—341no—
1615C23—341no—
1616C23—341no—
1617C23—341no—
1618C23—341no—
1619C23—341no—
1620C23—341no—
1621C23—341no—
1622C23—341no—
1623C23—341no—
1624C23—341no—
1625C23—341no—
1626C23—341no—
1627C23—341no—
1628C23—341no—
1629C23—341no—
1630C23—341no—
1631C23—341no—
1632C23—341no—
1633C23—341no—
1634C23—341no—
1635C23—341no—
1636C23—341no—
1637C23—341no—
1638C23—684no—
1639C23—684no—
1640C23—684no—
1641C23—684no—
1642C23—684no—
1643C23—684no—
1644C23—684no—
1645C23—684no—
1646C23—684no—
1647C23—684no—
1648C23—684no—
1649C23—684no—
1650C23—684no—
1651C23—684no—
1652C23—1362no—
1653C23—1362no—
1654C23—1362no—
1655C23—1362no—
1656C23C22×D6812yes—
1657C23C22×D6812yes—
1658C23#41×D1712yes—
1659C23#41×D1712yes—
1660C23C24×D1711yescharacteristic
1661Q8—1362no—
1662D4—28no—
1663D4—348no—
1664D4—348no—
1665D4—348no—
1666D4—684no—
1667D4—684no—
1668D4—684no—
1669D4—684no—
1670D4—684no—
1671D4—684no—
1672D4—684no—
1673D4—1362no—
1674D4—1362no—
1675D4—1362no—
1676D4—1362no—
1677D4—1362no—
1678D4—1362no—
1679D4—1362no—
1680D4—1362no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—82no—
1719C2×C4—172no—
1720C2×C4—172no—
1721C2×C4—348no—
1722C2×C4—348no—
1723C2×C4—341no—
1724C2×C4—341no—
1725C2×C4—341no—
1726C2×C4—341no—
1727C2×C4—341no—
1728C2×C4—341no—
1729C2×C4—341no—
1730C2×C4—341no—
1731C2×C4—341no—
1732C2×C4—341no—
1733C2×C4—341no—
1734C2×C4—341no—
1735C2×C4—341no—
1736C2×C4—341no—
1737C2×C4—341no—
1738C2×C4—341no—
1739C2×C4—341no—
1740C2×C4—341no—
1741C2×C4—341no—
1742C2×C4—341no—
1743C2×C4—341no—
1744C2×C4—341no—
1745C2×C4—341no—
1746C2×C4—341no—
1747C2×C4—341no—
1748C2×C4—341no—
1749C2×C4—341no—
1750C2×C4—341no—
1751C2×C4—684no—
1752C2×C4—684no—
1753C2×C4—684no—
1754C2×C4—684no—
1755C2×C4—684no—
1756C2×C4—684no—
1757C2×C4—684no—
1758C2×C4—684no—
1759C2×C4—684no—
1760C2×C4—1362no—
1761C2×C4—1362no—
1762C2×C4C22×D6812yes—
1763C2×C4C22×D6812yes—
1764C2×C4C22×D6812yes—
1765C2×C4C22×D6812yes—
1766C2×C4C22×D6812yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—174no—
1781C22—342no—
1782C22—342no—
1783C22—342no—
1784C22—342no—
1785C22—342no—
1786C22—342no—
1787C22—342no—
1788C22—342no—
1789C22—342no—
1790C22—342no—
1791C22—342no—
1792C22—342no—
1793C22—6816no—
1794C22—6816no—
1795C22—681no—
1796C22—681no—
1797C22—681no—
1798C22—681no—
1799C22—681no—
1800C22—681no—
1801C22—681no—
1802C22—681no—
1803C22—681no—
1804C22—681no—
1805C22—681no—
1806C22—681no—
1807C22—681no—
1808C22—681no—
1809C22—681no—
1810C22—681no—
1811C22—681no—
1812C22—681no—
1813C22—681no—
1814C22—681no—
1815C22—681no—
1816C22—681no—
1817C22—681no—
1818C22—681no—
1819C22—681no—
1820C22—681no—
1821C22—681no—
1822C22—681no—
1823C22—681no—
1824C22—1368no—
1825C22#1176332114yes—
1826C22C23×D6811yescharacteristic
1827C22C2×#41×D1711yescharacteristic
1828C22C2×#41×D1711yescharacteristic
1829C22H(5,𝔽2)×D1711yescharacteristic
1830C22H(5,𝔽2)×D1711yescharacteristic
1831C22H(5,𝔽2)×D1711yescharacteristic
1832C22#1176364611yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—342no—
1847C4—342no—
1848C4—681no—
1849C4—681no—
1850C4—681no—
1851C4—681no—
1852C4—681no—
1853C4—681no—
1854C4—681no—
1855C4—681no—
1856C2—24no—
1857C2—42no—
1858C2—344no—
1859C2—682no—
1860C2—682no—
1861C2—1361no—
1862C2—1361no—
1863C2—1361no—
1864C2C2×#1176332111yescharacteristic
1865C2D17×#53811yescharacteristic
1866C2#1454219211yescharacteristic
1867C2#1454242011yescharacteristic
1868C2#1454245411yescharacteristic
1869C2#1454271411yescharacteristic
1870C2#1454280811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2318C2
hypercenter#2318D17
hypocenterC17#34990
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. C2×#11763392C2semidirect
2. C2×C4×D4×D17C2semidirect
3. #14537100C2semidirect
4. #14537086C2semidirect
5. #14537077C2semidirect
6. #14537067C2semidirect
7. #14534683C2semidirect
8. #14534671C2semidirect
9. #14534639C2semidirect
10. #14534625C2semidirect
11. #14533043C2semidirect
12. #14532908C2semidirect
13. #14532833C2semidirect
14. #14532719C2semidirect
15. #14532674C2semidirect
16. #14532673C2semidirect
17. #14532606C2semidirect
18. #14532532C2semidirect
19. #14532524C2semidirect
20. #14532448C2semidirect
21. #14532325C2semidirect
22. #14532318C2semidirect
23. #14532244C2semidirect
24. #14532157C2semidirect
25. #14532156C2semidirect
26. #14532096C2semidirect
27. #14531487C2semidirect
28. #14531444C2semidirect
29. C4×#10587568C2semidirect
30. C2×#11762687C2semidirect
31. C17×#2318C2semidirect
35. C23×C4×D17C22semidirect
37. C2×#10587584C22semidirect
38. C2×#10587562C22semidirect
39. C2×#10587561C22semidirect
40. C2×#10587571C22semidirect
41. C2×#10587580C22semidirect
42. C2×#10587572C22semidirect
43. C2×#10587615C22semidirect
44. C2×#10587583C22semidirect
45. C2×#10587564C22semidirect
48. C2×#10587581C22semidirect
50. C2×#10587616C22semidirect
51. C2×#10587570C22semidirect
57. C2×#10587568C22semidirect
58. C2×#10587568C22semidirect
60. C2×C4×D68C22semidirect
61. C2×C4×D68C22semidirect
62. C2×C4×D68C22semidirect
64. C2×#10587579C22semidirect
66. C2×C4×C22⋊D17C22semidirect
67. C2×C4×C22⋊D17C22semidirect
69. C2×#10587567C22semidirect
71. C2×C4⋊C4×D17C22semidirect
73. C22×#63227C22semidirect
74. C22×#63227C22semidirect
76. C2×C22⋊C4×D17C22semidirect
77. C2×C42×D17C22semidirect
78. #11762749C22semidirect
79. #11762749C22semidirect
80. #11762746C22semidirect
81. #11762746C22semidirect
82. #11762739C22semidirect
83. #11762736C22semidirect
84. #11762736C22semidirect
85. #11762734C22semidirect
86. #11762731C22semidirect
87. #11762731C22semidirect
88. #11762731C22semidirect
89. #11762731C22semidirect
90. #11762727C22semidirect
91. #11762727C22semidirect
92. #11762726C22semidirect
93. #11762726C22semidirect
94. #11762726C22semidirect
95. #11762725C22semidirect
96. #11762725C22semidirect
97. #11762725C22semidirect
98. #11762725C22semidirect
99. #11762722C22semidirect
100. #11762722C22semidirect
103. #11762719C22semidirect
104. #11762719C22semidirect
105. #11762719C22semidirect
106. #11762719C22semidirect
109. #11762718C22semidirect
110. #11762714C22semidirect
111. #11762711C22semidirect
112. #11762711C22semidirect
113. #11762710C22semidirect
114. #11762701C22semidirect
115. #11762701C22semidirect
116. #11762701C22semidirect
117. #11762701C22semidirect
118. #11762701C22semidirect
119. #11762701C22semidirect
120. #11762701C22semidirect
121. #11762701C22semidirect
122. #11762700C22semidirect
123. #11762700C22semidirect
124. #11762694C22semidirect
125. #11762694C22semidirect
126. #11762694C22semidirect
127. #11762694C22semidirect
129. #11762688C22semidirect
138. #11762687C22semidirect
139. #11762687C22semidirect
140. #11762687C22semidirect
141. #11762687C22semidirect
142. #11762687C22semidirect
143. #11762687C22semidirect
144. #11762687C22semidirect
145. #11762687C22semidirect
146. #11762687C22semidirect
147. #11762687C22semidirect
148. #11762687C22semidirect
149. #11762687C22semidirect
151. #11762686C22semidirect
152. #11762686C22semidirect
153. #11762686C22semidirect
154. #11762684C22semidirect
155. #11762684C22semidirect
156. #11762683C22semidirect
157. #11762683C22semidirect
158. #11762683C22semidirect
159. #11762683C22semidirect
160. #11762683C22semidirect
161. #11762683C22semidirect
162. #11762683C22semidirect
163. #11762683C22semidirect
164. #11762670C22semidirect
165. #11762669C22semidirect
166. #11762666C22semidirect
167. #11762666C22semidirect
169. #11762664C22semidirect
170. #11762664C22semidirect
171. C4×#63227C22semidirect
172. C4×#63227C22semidirect
173. C2×#10587502C22semidirect
175. C17×#388C22semidirect
176. C17×#388C22semidirect
177. C17×#387C22semidirect
178. C17×#387C22semidirect
181. C17×#385C22semidirect
182. C17×#385C22semidirect
183. C17×#383C22semidirect
184. C17×#382C22semidirect
185. C17×#381C22semidirect
186. C17×#380C22semidirect
187. C4×C22⋊C4×C17C22semidirect
188. C2×C17×#95C22semidirect
241. C4×D4×C17D4semidirect
440. C22×C4×C17C2×D4semidirect
568. C4⋊C4×C17C2×D4semidirect
576. C22⋊C4×C17C2×D4semidirect
579. C42×C17C2×D4semidirect
860. #2318D17semidirect
928. C2×D17#538semidirect
1045. #388C2×D17semidirect
1046. #388C2×D17semidirect
1051. #387C2×D17semidirect
1052. #387C2×D17semidirect
1091. #385C2×D17semidirect
1092. #385C2×D17semidirect
1093. #383C2×D17semidirect
1094. #382C2×D17semidirect
1096. #381C2×D17semidirect
1100. #380C2×D17semidirect
1106. C4×C22⋊C4C2×D17semidirect
1108. C2×#95C2×D17semidirect
1209. C4×D4D68semidirect
1332. C17#34990semidirect
1486. C22×C4C2×D68semidirect
1519. C4⋊C4C2×D68semidirect
1575. C22⋊C4C2×D68semidirect
1582. C42C2×D68semidirect

Maximal subgroups

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

subgroupindex
C2×#117633922
C2×C4×D4×D172
#145371002
#145370862
#145370772
#145370672
#145346832
#145346712
#145346392
#145346252
#145330432
#145329082
#145328332
#145327192
#145326742
#145326732
#145326062
#145325322
#145325242
#145324482
#145323252
#145323182
#145322442
#145321572
#145321562
#145320962
#145314872
#145314442
C4×#105875682
C2×#117626872
C17×#23182
#3499017