Finite Group Databasebeta

← #17242671

Subgroups — #17242671

Order 4352.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537075C211yesmaximal, characteristic, complemented
2#14537065C211yesmaximal, characteristic, complemented
3#14536408C211yesmaximal, characteristic, complemented
4#14536401C211yesmaximal, characteristic, complemented
5#14536159C211yesmaximal, characteristic, complemented
6#14536029C211yesmaximal, characteristic, complemented
7#14536014C211yesmaximal, characteristic, complemented
8#14536012C211yesmaximal, characteristic, complemented
9#14535928C211yesmaximal, characteristic, complemented
10#14535433C211yesmaximal, characteristic, complemented
11#14535349C211yesmaximal, characteristic, complemented
12#14535339C211yesmaximal, characteristic, complemented
13#14535222C211yesmaximal, characteristic, complemented
14#14535213C211yesmaximal, characteristic, complemented
15#14535167C211yesmaximal, characteristic, complemented
16#14535115C211yesmaximal, characteristic, complemented
17#14535084C211yesmaximal, characteristic, complemented
18#14534991C211yesmaximal, characteristic, complemented
19#14534737C211yesmaximal, characteristic, complemented
20#14533342C211yesmaximal, characteristic, complemented
21#14532917C211yesmaximal, characteristic, complemented
22#14532532C211yesmaximal, characteristic, complemented
23#14532447C211yesmaximal, characteristic, complemented
24#14532326C211yesmaximal, characteristic, complemented
25#14532161C211yesmaximal, characteristic, complemented
26#14532155C211yesmaximal, characteristic, complemented
27#14532096C211yesmaximal, characteristic, complemented
28#14531447C211yesmaximal, characteristic, complemented
29#14531358C211yesmaximal, characteristic, complemented
30C2×#11762687C211yesmaximal, characteristic, complemented
31C17×#2639C211yesmaximal, characteristic, complemented
32C23×D68C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic, complemented
35C2×#10587633C2211yescharacteristic, complemented
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587569C2211yescharacteristic, complemented
38C2×#10587632C2211yescharacteristic, complemented
39C2×#10587570C2211yescharacteristic, complemented
40C2×#10587570C2211yescharacteristic, complemented
41C2×#10587570C2211yescharacteristic, complemented
42C2×#10587570C2211yescharacteristic, complemented
43C2×#10587625C2211yescharacteristic
44C2×#10587625C2211yescharacteristic, complemented
45C2×#10587568C2211yescharacteristic
46C2×#10587568C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×#10587623C2211yescharacteristic, complemented
51C2×#10587623C2211yescharacteristic, complemented
52C2×D4×Dic17C2211yescharacteristic, complemented
53C22×#63227C2211yescharacteristic
54C22×#63227C2211yescharacteristic
55C22×#63227C2211yescharacteristic, complemented
56C2×C22⋊C4×D17C2211yescharacteristic
57C17⋊#401C2211yescharacteristic, complemented
58C17⋊#401C2211yescharacteristic, complemented
59#11762750C2211yescharacteristic, complemented
60#11762750C2211yescharacteristic, complemented
61#11762750C2211yescharacteristic, complemented
62#11762750C2211yescharacteristic, complemented
63#11762749C2211yescharacteristic, complemented
64#11762744C2211yescharacteristic, complemented
65#11762738C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762738C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762736C2211yescharacteristic, complemented
71#11762735C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762733C2211yescharacteristic, complemented
74#11762731C2211yescharacteristic, complemented
75#11762731C2211yescharacteristic, complemented
76#11762731C2211yescharacteristic, complemented
77#11762727C2211yescharacteristic
78#11762727C2211yescharacteristic
79#11762726C2211yescharacteristic, complemented
80#11762726C2211yescharacteristic, complemented
81#11762726C2211yescharacteristic, complemented
82#11762725C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762724C2211yescharacteristic, complemented
85#11762724C2211yescharacteristic, complemented
86#11762720C2211yescharacteristic, complemented
87#11762720C2211yescharacteristic, complemented
88#11762719C2211yescharacteristic
89#11762719C2211yescharacteristic
90#11762718C2211yescharacteristic
91#11762718C2211yescharacteristic
92#11762718C2211yescharacteristic
93#11762718C2211yescharacteristic
94#11762718C2211yescharacteristic, complemented
95#11762717C2211yescharacteristic, complemented
96#11762717C2211yescharacteristic, complemented
97#11762710C2211yescharacteristic, complemented
98#11762709C2211yescharacteristic, complemented
99#11762709C2211yescharacteristic, complemented
100#11762709C2211yescharacteristic, complemented
101#11762703C2211yescharacteristic, complemented
102#11762701C2211yescharacteristic, complemented
103#11762701C2211yescharacteristic, complemented
104#11762701C2211yescharacteristic, complemented
105#11762699C2211yescharacteristic, complemented
106#11762699C2211yescharacteristic, complemented
107#11762699C2211yescharacteristic, complemented
108#11762698C2211yescharacteristic, complemented
109#11762698C2211yescharacteristic, complemented
110#11762697C2211yescharacteristic, complemented
111#11762694C2211yescharacteristic, complemented
112#11762691C2211yescharacteristic, complemented
113#11762689C2211yescharacteristic
114#11762689C2211yescharacteristic
115#11762688C2211yescharacteristic
116#11762688C2211yescharacteristic
117#11762688C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762687C2211yescharacteristic
122#11762687C2211yescharacteristic
123#11762687C2211yescharacteristic
124#11762687C2211yescharacteristic, complemented
125#11762687C2211yescharacteristic, complemented
126#11762687C2211yescharacteristic, complemented
127#11762687C2211yescharacteristic, complemented
128#11762687C2211yescharacteristic, complemented
129#11762687C2211yescharacteristic, complemented
130#11762687C2211yescharacteristic, complemented
131#11762687C2211yescharacteristic, complemented
132#11762687C2211yescharacteristic, complemented
133#11762687C2211yescharacteristic, complemented
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic, complemented
136#11762686C2211yescharacteristic, complemented
137#11762686C2211yescharacteristic, complemented
138#11762686C2211yescharacteristic, complemented
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762684C2211yescharacteristic, complemented
147#11762683C2211yescharacteristic, complemented
148#11762683C2211yescharacteristic, complemented
149#11762682C2211yescharacteristic, complemented
150#11762682C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic, complemented
153#11762680C2211yescharacteristic, complemented
154#11762680C2211yescharacteristic, complemented
155#11762676C2211yescharacteristic, complemented
156#11762671C2211yescharacteristic, complemented
157#11762671C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic, complemented
159#11762671C2211yescharacteristic, complemented
160#11762670C2211yescharacteristic, complemented
161#11762668C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic, complemented
163#11762667C2211yescharacteristic, complemented
164#11762666C2211yescharacteristic, complemented
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic, complemented
167#11762664C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic, complemented
169#11762664C2211yescharacteristic, complemented
170C22⋊C4×Dic17C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C2×C17×C22⋊Q8C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic
174C17×#400C2211yescharacteristic, complemented
175C17×#400C2211yescharacteristic, complemented
176C17×#397C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#393C2211yescharacteristic, complemented
181C17×#393C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×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
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C2×D4×D17—24no—
210C2×D4×D17—42no—
211C2×D4×D17—42no—
212C22×D68—24no—
213C22×D68—42no—
214C22×D68—42no—
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×D68C2311yescharacteristic
219C22×D68C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×C4×D17—42no—
223C22×C4×D17—42no—
224C22×C4×D17—42no—
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C17×C22⋊Q8—42no—
233C17×#121—42no—
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×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259#10587633—42no—
260#10587632—42no—
261#10587625—42no—
262#10587625—42no—
263#10587623—24no—
264#10587623—42no—
265#10587623—42no—
266#10587623—42no—
267D4×Dic17—42no—
268C2×#63227—42no—
269C2×#63227—42no—
270C2×#63227—42no—
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×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325#10587570—42no—
326#10587570—42no—
327#10587570—42no—
328#10587570—42no—
329#10587569—42no—
330#10587569—42no—
331#10587568—42no—
332#10587568—42no—
333#10587568—42no—
334C22⋊C4×D17—42no—
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375C24×C17C2411yescharacteristic
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C23×D17—22no—
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17—22no—
384C23×D17—22no—
385C23×D17—22no—
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17#4114yes—
399C23×D17C2411yescharacteristic
400C23×D17C2411yescharacteristic
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×Q8×C17—41no—
405C2×Q8×C17—41no—
406C2×Q8×C17—41no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C2×C22⋊D17—22no—
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—41no—
452C2×C22⋊D17—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C22×Dic17—22no—
465C22×Dic17—22no—
466C22×Dic17—22no—
467C22×Dic17—41no—
468C22×Dic17—41no—
469C22×Dic17—41no—
470C22×Dic17—41no—
471C22×Dic17—41no—
472C22×Dic17—41no—
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484D4×D17—416no—
485C2×D68—22no—
486C2×D68—22no—
487C2×D68—22no—
488C2×D68—22no—
489C2×D68—22no—
490C2×D68—22no—
491C2×D68—22no—
492C2×D68—22no—
493C2×D68—22no—
494C2×D68—22no—
495C2×D68—22no—
496C2×D68—41no—
497C2×D68—41no—
498C2×D68—41no—
499C2×D68—41no—
500C2×D68—41no—
501C2×D68—41no—
502C2×D68—416no—
503C2×D68—41no—
504C2×D68—41no—
505C2×D68—41no—
506C2×D68—41no—
507C2×C4×D17—22no—
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—416no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17—41no—
526C2×C4×D17—41no—
527C2×C4×D17—41no—
528C2×C4×D17—41no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C4⋊C4×C17—41no—
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—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
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—41no—
563#63227—41no—
564#63227—41no—
565#63227—41no—
566#63227—41no—
567#63227—41no—
568#63227—41no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
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—
591#63227—41no—
592#63227—41no—
593C4⋊Dic17—22no—
594C4⋊Dic17—41no—
595C4⋊Dic17—41no—
596#63225—22no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607C4×Dic17—41no—
608#36776—171nomaximal, Sylow
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17C2×#4112yes—
628C23×C17H(5,𝔽2)12yes—
629C23×C17H(5,𝔽2)12yes—
630C23×C17C2511yescharacteristic
631C22×D17—28no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—28no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—44no—
665C22×D17—44no—
666C22×D17—44no—
667C22×D17—44no—
668C22×D17—44no—
669C22×D17—44no—
670C22×D17—44no—
671C22×D17—44no—
672C22×D17—44no—
673C22×D17—82no—
674C22×D17—82no—
675C22×D17—82no—
676C22×D17—82no—
677C22×D17—82no—
678C22×D17—82no—
679C22×D17—82no—
680C22×D17—82no—
681C22×D17—82no—
682C22×D17—82no—
683C22×D17C2×#4112yes—
684C22×D17C2×#4112yes—
685C22×D17H(5,𝔽2)12yes—
686C22×D17H(5,𝔽2)12yes—
687Q8×C17—82no—
688D4×C17—44no—
689D4×C17—44no—
690D4×C17—82no—
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—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—44no—
728C2×C4×C17—44no—
729C2×C4×C17—82no—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C22⋊D17—82no—
733C22⋊D17—82no—
734C22⋊D17—82no—
735C22⋊D17—82no—
736C22⋊D17—82no—
737C22⋊D17—82no—
738C22⋊D17—82no—
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—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—21no—
771C2×Dic17—44no—
772C2×Dic17—82no—
773C2×Dic17—82no—
774C2×Dic17H(5,𝔽2)12yes—
775D68—44no—
776D68—44no—
777D68—44no—
778D68—44no—
779D68—44no—
780D68—82no—
781D68—82no—
782C4×D17—44no—
783C4×D17—44no—
784C4×D17—44no—
785C4×D17—44no—
786C4×D17—44no—
787C4×D17—82no—
788C4×D17—82no—
789#2849—171no—
790#2847—171no—
791#2778—171no—
792#2778—171no—
793#2760—171no—
794#2750—171no—
795#2749—171no—
796#2749—171no—
797#2743—171no—
798#2703—171no—
799#2697—171no—
800#2696—171no—
801#2688—171no—
802#2688—171no—
803#2684—171no—
804#2678—171no—
805#2676—171no—
806#2668—171no—
807#2643—171no—
808#2639D1711yescharacteristic, complemented
809#2510—171no—
810#2472—171no—
811#2444—171no—
812#2437—171no—
813#2424—171no—
814#2410—171no—
815#2410—171no—
816#2403—171no—
817#2321—171no—
818#2308—171no—
819C2×#386—171no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17#53814yes—
841C22×C17C22×#4111yescharacteristic
842C22×C17C2×H(5,𝔽2)11yescharacteristic
843C22×C17C2×H(5,𝔽2)11yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17C2×H(5,𝔽2)11yescharacteristic
846C22×C17C2×H(5,𝔽2)11yescharacteristic
847C22×C17#58511yescharacteristic
848C2×D17—22no—
849C2×D17—22no—
850C2×D17—22no—
851C2×D17—22no—
852C2×D17—22no—
853C2×D17—22no—
854C2×D17—22no—
855C2×D17—22no—
856C2×D17—22no—
857C2×D17—22no—
858C2×D17—22no—
859C2×D17—22no—
860C2×D17—416no—
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—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—41no—
877C2×D17—41no—
878C2×D17—41no—
879C2×D17—41no—
880C2×D17—41no—
881C2×D17—41no—
882C2×D17—41no—
883C2×D17—41no—
884C2×D17—88no—
885C2×D17—88no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C4×C17—41no—
892C4×C17—41no—
893C4×C17—41no—
894C4×C17—41no—
895C4×C17—41no—
896C4×C17—41no—
897C4×C17—41no—
898Dic17—22no—
899Dic17—41no—
900Dic17—41no—
901Dic17—41no—
902Dic17—41no—
903Dic17—41no—
904Dic17—41no—
905Dic17—41no—
906Dic17—41no—
907Dic17—41no—
908Dic17—41no—
909C23×D4—171no—
910C23×D4—171no—
911C24×C4—171no—
912C2×#124—171no—
913C2×#123—171no—
914C2×#123—171no—
915C2×C22⋊Q8—171no—
916C2×C22⋊Q8C2×D1711yescharacteristic, complemented
917C2×#121—171no—
918C2×#121—171no—
919C2×#121—171no—
920C2×#121—171no—
921C2×#121—171no—
922C2×#121—171no—
923C2×#121C2×D1711yescharacteristic
924C2×#120—171no—
925C2×#120—171no—
926C2×#120—171no—
927C2×#120—171no—
928C2×#120—171no—
929C2×#120—171no—
930C2×#120—171no—
931C2×C4×D4—171no—
932C22×C22⋊C4—171no—
933C22×C22⋊C4—171no—
934C22×C22⋊C4—171no—
935C22×C22⋊C4—171no—
936#401—171no—
937#401—171no—
938#400—171no—
939#400—171no—
940#400—171no—
941#400—171no—
942#400—171no—
943#400C2×D1711yescharacteristic, complemented
944#400C2×D1711yescharacteristic, complemented
945#399—171no—
946#397—171no—
947#397—171no—
948#397—171no—
949#397—171no—
950#397—171no—
951#397—171no—
952#397—171no—
953#397—171no—
954#397C2×D1711yescharacteristic, complemented
955#397C2×D1711yescharacteristic, complemented
956#396—171no—
957#396—171no—
958#396—171no—
959#396—171no—
960#394—171no—
961#394—171no—
962#394—171no—
963#394—171no—
964#394—171no—
965#394—171no—
966#394—171no—
967#394—171no—
968#394—171no—
969#394C2×D1711yescharacteristic, complemented
970#394C2×D1711yescharacteristic, complemented
971#393—171no—
972#393—171no—
973#393C2×D1711yescharacteristic, complemented
974#393C2×D1711yescharacteristic, complemented
975#392—171no—
976#392—171no—
977#392—171no—
978#392—171no—
979#392—171no—
980#392—171no—
981#392—171no—
982#392—171no—
983#392—171no—
984#390—171no—
985#390—171no—
986#390—171no—
987#390—171no—
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388—171no—
995#388—171no—
996#388—171no—
997#388—171no—
998#387—171no—
999#387—171no—
1000#386—171no—
1001#386—171no—
1002#386—171no—
1003#386—171no—
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
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#386—171no—
1032#386—171no—
1033#386C2×D1711yescharacteristic
1034#386C2×D1711yescharacteristic
1035#386C2×D1711yescharacteristic, complemented
1036#386C2×D1711yescharacteristic, complemented
1037#385—171no—
1038#385—171no—
1039#385—171no—
1040#385—171no—
1041#385—171no—
1042#385—171no—
1043#385—171no—
1044#385—171no—
1045#385—171no—
1046#383—171no—
1047#381—171no—
1048#381—171no—
1049#381—171no—
1050#381—171no—
1051#381—171no—
1052#380—171no—
1053#380—171no—
1054#380—171no—
1055#380—171no—
1056#379—171no—
1057#379—171no—
1058#379—171no—
1059#379—171no—
1060#379—171no—
1061C4×C22⋊C4—171no—
1062C2×#95—171no—
1063C2×#95C2×D1711yescharacteristic, complemented
1064C2×C17—24no—
1065C2×C17—81no—
1066C2×C17—81no—
1067C2×C17C2×#53811yescharacteristic
1068C2×C17#349011yescharacteristic
1069C2×C17#350511yescharacteristic
1070C2×C17#353211yescharacteristic
1071C2×C17#353411yescharacteristic
1072C2×C17#353411yescharacteristic
1073C2×C17#353711yescharacteristic
1074D17—42no—
1075D17—42no—
1076D17—42no—
1077D17—42no—
1078D17—81no—
1079C25—171no—
1080C25—171no—
1081C25—171no—
1082C22×Q8C22×D1711yescharacteristic
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—171no—
1089C22×D4—171no—
1090C22×D4—171no—
1091C22×D4—171no—
1092C22×D4—171no—
1093C22×D4—171no—
1094C22×D4—171no—
1095C22×D4—171no—
1096C22×D4—171no—
1097C22×D4—171no—
1098C22×D4—171no—
1099C22×D4—344no—
1100C22×D4—344no—
1101C22×D4—682no—
1102C22×D4—682no—
1103C22×D4—682no—
1104C22×D4—682no—
1105C22×D4C22×D1711yescharacteristic
1106C22×D4C22×D1711yescharacteristic
1107C22×D4C22×D1711yescharacteristic
1108C23×C4—171no—
1109C23×C4—171no—
1110C23×C4—171no—
1111C23×C4—171no—
1112C23×C4—171no—
1113C23×C4—171no—
1114C23×C4—171no—
1115C23×C4—171no—
1116C23×C4—171no—
1117C23×C4—171no—
1118C23×C4—682no—
1119C23×C4—682no—
1120C23×C4—682no—
1121C23×C4C22×D1711yescharacteristic
1122C23×C4C22×D1711yescharacteristic
1123C23×C4C22×D1711yescharacteristic
1124#124—682no—
1125#123—682no—
1126#123—682no—
1127C22⋊Q8—42no—
1128C22⋊Q8—682no—
1129#121—42no—
1130#121—682no—
1131#121—682no—
1132#121—682no—
1133#121—682no—
1134#121—682no—
1135#121—682no—
1136#120—344no—
1137#120—682no—
1138#120—682no—
1139#120—682no—
1140#120—682no—
1141#120—682no—
1142#120—682no—
1143C4×D4—682no—
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⋊C4C22×D1711yescharacteristic
1157C2×C4⋊C4C22×D1711yescharacteristic
1158C2×C4⋊C4C22×D1711yescharacteristic
1159C2×C4⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
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—682no—
1209C2×C22⋊C4—682no—
1210C2×C22⋊C4—682no—
1211C2×C22⋊C4—682no—
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C22⋊C4C22×D1711yescharacteristic
1216C2×C22⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4C22×D1711yescharacteristic
1218C2×C22⋊C4C22×D1711yescharacteristic
1219C2×C22⋊C4C22×D1711yescharacteristic
1220C2×C22⋊C4C22×D1711yescharacteristic
1221C2×C22⋊C4C22×D1711yescharacteristic
1222C2×C22⋊C4C22×D1711yescharacteristic
1223C2×C22⋊C4C22×D1711yescharacteristic
1224C2×C42—171no—
1225C2×C42—171no—
1226C2×C42—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
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#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259#95C22×D1711yescharacteristic
1260#95C22×D1711yescharacteristic
1261#95C22×D1711yescharacteristic
1262#95C22×D1711yescharacteristic
1263#95C22×D1711yescharacteristic
1264#95C22×D1711yescharacteristic
1265#95C22×D1711yescharacteristic
1266#95C22×D1711yescharacteristic
1267C17#3677611yescharacteristic, complemented, Sylow
1268C24—171no—
1269C24—171no—
1270C24—171no—
1271C24—171no—
1272C24—174no—
1273C24—171no—
1274C24—342no—
1275C24—342no—
1276C24—342no—
1277C24—342no—
1278C24—342no—
1279C24—342no—
1280C24—342no—
1281C24—342no—
1282C24—681no—
1283C24—681no—
1284C24—681no—
1285C24—681no—
1286C24—681no—
1287C24—681no—
1288C24—681no—
1289C24—681no—
1290C24—681no—
1291C24—681no—
1292C24—681no—
1293C24—681no—
1294C24C23×D1711yescharacteristic
1295C24C23×D1711yescharacteristic
1296C24C23×D1711yescharacteristic
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—342no—
1312C2×D4—342no—
1313C2×D4—342no—
1314C2×D4—342no—
1315C2×D4—342no—
1316C2×D4—342no—
1317C2×D4—342no—
1318C2×D4—342no—
1319C2×D4—342no—
1320C2×D4—342no—
1321C2×D4—342no—
1322C2×D4—342no—
1323C2×D4—342no—
1324C2×D4—342no—
1325C2×D4—342no—
1326C2×D4—342no—
1327C2×D4—342no—
1328C2×D4—342no—
1329C2×D4—342no—
1330C2×D4—342no—
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—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—681no—
1349C2×D4—681no—
1350C2×D4—681no—
1351C2×D4—681no—
1352C2×D4—681no—
1353C2×D4—681no—
1354C2×D4—681no—
1355C2×D4—681no—
1356C2×D4—681no—
1357C2×D4—681no—
1358C2×D4—6816no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—171no—
1369C22×C4—171no—
1370C22×C4—171no—
1371C22×C4—171no—
1372C22×C4—171no—
1373C22×C4—171no—
1374C22×C4—171no—
1375C22×C4—171no—
1376C22×C4—171no—
1377C22×C4—171no—
1378C22×C4—171no—
1379C22×C4—342no—
1380C22×C4—342no—
1381C22×C4—342no—
1382C22×C4—342no—
1383C22×C4—342no—
1384C22×C4—342no—
1385C22×C4—342no—
1386C22×C4—342no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4—681no—
1390C22×C4—681no—
1391C22×C4—681no—
1392C22×C4—681no—
1393C22×C4—681no—
1394C22×C4—681no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4—681no—
1398C22×C4—681no—
1399C22×C4—681no—
1400C22×C4—681no—
1401C22×C4—681no—
1402C22×C4—681no—
1403C22×C4—6816no—
1404C22×C4—681no—
1405C22×C4—681no—
1406C22×C4—681no—
1407C22×C4—681no—
1408C22×C4—681no—
1409C22×C4—681no—
1410C22×C4C23×D1711yescharacteristic
1411C22×C4C23×D1711yescharacteristic
1412C22×C4C23×D1711yescharacteristic
1413C22×C4C23×D1711yescharacteristic
1414C22×C4C23×D1711yescharacteristic
1415C22×C4C23×D1711yescharacteristic
1416C22×C4C23×D1711yescharacteristic
1417C22×C4C23×D1711yescharacteristic
1418C22×C4C23×D1711yescharacteristic
1419C22×C4C23×D1711yescharacteristic
1420C22×C4C23×D1711yescharacteristic
1421C22×C4C23×D1711yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—342no—
1427C4⋊C4—342no—
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⋊C4—681no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
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—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C22⋊C4—681no—
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—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—
1496C22⋊C4—681no—
1497C22⋊C4—681no—
1498C42—681no—
1499C42—681no—
1500C42—681no—
1501C23—21no—
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—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—172no—
1520C23—172no—
1521C23—172no—
1522C23—172no—
1523C23—348no—
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—348no—
1549C23—341no—
1550C23—341no—
1551C23—341no—
1552C23—341no—
1553C23—341no—
1554C23—341no—
1555C23—341no—
1556C23—684no—
1557C23—684no—
1558C23—684no—
1559C23—684no—
1560C23—684no—
1561C23—684no—
1562C23—684no—
1563C23—684no—
1564C23—684no—
1565C23—1362no—
1566C23—1362no—
1567C23—1362no—
1568C23—1362no—
1569C23—1362no—
1570C23—1362no—
1571C23—1362no—
1572C23—1362no—
1573C23—1362no—
1574C23—1362no—
1575C23#1058769112yes—
1576C23#41×D1712yes—
1577C23#1058769612yes—
1578C23C24×D1711yescharacteristic
1579Q8—82no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—684no—
1584D4—684no—
1585D4—684no—
1586D4—684no—
1587D4—684no—
1588D4—684no—
1589D4—684no—
1590D4—1362no—
1591D4—1362no—
1592D4—1362no—
1593D4—1362no—
1594D4—1362no—
1595D4—1362no—
1596D4—1362no—
1597D4—1362no—
1598D4—1362no—
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—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—82no—
1638C2×C4—172no—
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—341no—
1654C2×C4—341no—
1655C2×C4—341no—
1656C2×C4—341no—
1657C2×C4—341no—
1658C2×C4—341no—
1659C2×C4—341no—
1660C2×C4—341no—
1661C2×C4—341no—
1662C2×C4—341no—
1663C2×C4—341no—
1664C2×C4—341no—
1665C2×C4—341no—
1666C2×C4—341no—
1667C2×C4—341no—
1668C2×C4—341no—
1669C2×C4—341no—
1670C2×C4—341no—
1671C2×C4—684no—
1672C2×C4—684no—
1673C2×C4—684no—
1674C2×C4—684no—
1675C2×C4—684no—
1676C2×C4—684no—
1677C2×C4—1362no—
1678C2×C4—1362no—
1679C2×C4—1362no—
1680C2×C4—1362no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—342no—
1702C22—342no—
1703C22—342no—
1704C22—342no—
1705C22—342no—
1706C22—342no—
1707C22—342no—
1708C22—342no—
1709C22—342no—
1710C22—342no—
1711C22—342no—
1712C22—342no—
1713C22—6816no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—681no—
1723C22—681no—
1724C22—681no—
1725C22—681no—
1726C22—681no—
1727C22—681no—
1728C22—681no—
1729C22—681no—
1730C22—681no—
1731C22—681no—
1732C22—681no—
1733C22—681no—
1734C22—681no—
1735C22—681no—
1736C22—681no—
1737C22—1368no—
1738C22—1368no—
1739C22#1176339314yes—
1740C22C2×#41×D1711yescharacteristic
1741C22H(5,𝔽2)×D1711yescharacteristic
1742C22H(5,𝔽2)×D1711yescharacteristic
1743C22H(5,𝔽2)×D1711yescharacteristic
1744C22C2×#1058769111yescharacteristic
1745C22C2×#1058769611yescharacteristic
1746C22#1176364611yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—342no—
1760C4—681no—
1761C4—681no—
1762C4—681no—
1763C4—681no—
1764C4—681no—
1765C4—681no—
1766C4—681no—
1767C4—681no—
1768C4—681no—
1769C4—681no—
1770C2—24no—
1771C2—81no—
1772C2—81no—
1773C2—682no—
1774C2—682no—
1775C2—682no—
1776C2—682no—
1777C2—1361no—
1778C2C2×#1176339311yescharacteristic
1779C2#1454247011yescharacteristic
1780C2#1454261611yescharacteristic
1781C2#1454293511yescharacteristic
1782C2#1454296311yescharacteristic
1783C2#1454297211yescharacteristic
1784C2#1454302111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2639C2
hypercenter#2639D17
hypocenterC17#36776
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2639

Complements

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

NH ≅ G/Ntype
1. #14537075C2semidirect
2. #14537065C2semidirect
3. #14536408C2semidirect
4. #14536401C2semidirect
5. #14536159C2semidirect
6. #14536029C2semidirect
7. #14536014C2semidirect
8. #14536012C2semidirect
9. #14535928C2semidirect
10. #14535433C2semidirect
11. #14535349C2semidirect
12. #14535339C2semidirect
13. #14535222C2semidirect
14. #14535213C2semidirect
15. #14535167C2semidirect
16. #14535115C2semidirect
17. #14535084C2semidirect
18. #14534991C2semidirect
19. #14534737C2semidirect
20. #14533342C2semidirect
21. #14532917C2semidirect
22. #14532532C2semidirect
23. #14532447C2semidirect
24. #14532326C2semidirect
25. #14532161C2semidirect
26. #14532155C2semidirect
27. #14532096C2semidirect
28. #14531447C2semidirect
29. #14531358C2semidirect
30. C2×#11762687C2semidirect
31. C17×#2639C2semidirect
34. C23×C4×D17C22semidirect
35. C2×#10587633C22semidirect
36. C2×#10587569C22semidirect
37. C2×#10587569C22semidirect
38. C2×#10587632C22semidirect
39. C2×#10587570C22semidirect
40. C2×#10587570C22semidirect
41. C2×#10587570C22semidirect
42. C2×#10587570C22semidirect
44. C2×#10587625C22semidirect
50. C2×#10587623C22semidirect
51. C2×#10587623C22semidirect
52. C2×D4×Dic17C22semidirect
55. C22×#63227C22semidirect
57. C17⋊#401C22semidirect
58. C17⋊#401C22semidirect
59. #11762750C22semidirect
60. #11762750C22semidirect
61. #11762750C22semidirect
62. #11762750C22semidirect
63. #11762749C22semidirect
64. #11762744C22semidirect
65. #11762738C22semidirect
66. #11762738C22semidirect
67. #11762738C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
70. #11762736C22semidirect
71. #11762735C22semidirect
72. #11762734C22semidirect
73. #11762733C22semidirect
74. #11762731C22semidirect
75. #11762731C22semidirect
76. #11762731C22semidirect
79. #11762726C22semidirect
80. #11762726C22semidirect
81. #11762726C22semidirect
82. #11762725C22semidirect
83. #11762725C22semidirect
84. #11762724C22semidirect
85. #11762724C22semidirect
86. #11762720C22semidirect
87. #11762720C22semidirect
94. #11762718C22semidirect
95. #11762717C22semidirect
96. #11762717C22semidirect
97. #11762710C22semidirect
98. #11762709C22semidirect
99. #11762709C22semidirect
100. #11762709C22semidirect
101. #11762703C22semidirect
102. #11762701C22semidirect
103. #11762701C22semidirect
104. #11762701C22semidirect
105. #11762699C22semidirect
106. #11762699C22semidirect
107. #11762699C22semidirect
108. #11762698C22semidirect
109. #11762698C22semidirect
110. #11762697C22semidirect
111. #11762694C22semidirect
112. #11762691C22semidirect
124. #11762687C22semidirect
125. #11762687C22semidirect
126. #11762687C22semidirect
127. #11762687C22semidirect
128. #11762687C22semidirect
129. #11762687C22semidirect
130. #11762687C22semidirect
131. #11762687C22semidirect
132. #11762687C22semidirect
133. #11762687C22semidirect
135. #11762686C22semidirect
136. #11762686C22semidirect
137. #11762686C22semidirect
138. #11762686C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762684C22semidirect
147. #11762683C22semidirect
148. #11762683C22semidirect
149. #11762682C22semidirect
150. #11762682C22semidirect
151. #11762682C22semidirect
152. #11762680C22semidirect
153. #11762680C22semidirect
154. #11762680C22semidirect
155. #11762676C22semidirect
156. #11762671C22semidirect
157. #11762671C22semidirect
158. #11762671C22semidirect
159. #11762671C22semidirect
160. #11762670C22semidirect
161. #11762668C22semidirect
162. #11762668C22semidirect
163. #11762667C22semidirect
164. #11762666C22semidirect
166. #11762664C22semidirect
167. #11762664C22semidirect
168. #11762664C22semidirect
169. #11762664C22semidirect
170. C22⋊C4×Dic17C22semidirect
171. C2×#10587502C22semidirect
172. C2×C17×C22⋊Q8C22semidirect
174. C17×#400C22semidirect
175. C17×#400C22semidirect
176. C17×#397C22semidirect
177. C17×#397C22semidirect
178. C17×#394C22semidirect
179. C17×#394C22semidirect
180. C17×#393C22semidirect
181. C17×#393C22semidirect
184. C17×#386C22semidirect
185. C17×#386C22semidirect
186. C2×C17×#95C22semidirect
808. #2639D17semidirect
916. C2×C22⋊Q8C2×D17semidirect
943. #400C2×D17semidirect
944. #400C2×D17semidirect
954. #397C2×D17semidirect
955. #397C2×D17semidirect
969. #394C2×D17semidirect
970. #394C2×D17semidirect
973. #393C2×D17semidirect
974. #393C2×D17semidirect
1035. #386C2×D17semidirect
1036. #386C2×D17semidirect
1063. C2×#95C2×D17semidirect
1267. C17#36776semidirect

Maximal subgroups

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

subgroupindex
#145370752
#145370652
#145364082
#145364012
#145361592
#145360292
#145360142
#145360122
#145359282
#145354332
#145353492
#145353392
#145352222
#145352132
#145351672
#145351152
#145350842
#145349912
#145347372
#145333422
#145329172
#145325322
#145324472
#145323262
#145321612
#145321552
#145320962
#145314472
#145313582
C2×#117626872
C17×#26392
#3677617