Finite Group Databasebeta

← #17242618

Subgroups — #17242618

Order 4352.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537075C211yesmaximal, characteristic, complemented
2#14537072C211yesmaximal, characteristic, complemented
3#14536455C211yesmaximal, characteristic, complemented
4#14536015C211yesmaximal, characteristic, complemented
5#14535975C211yesmaximal, characteristic, complemented
6#14535968C211yesmaximal, characteristic, complemented
7#14535923C211yesmaximal, characteristic, complemented
8#14535756C211yesmaximal, characteristic, complemented
9#14535504C211yesmaximal, characteristic, complemented
10#14535495C211yesmaximal, characteristic, complemented
11#14535476C211yesmaximal, characteristic, complemented
12#14535330C211yesmaximal, characteristic, complemented
13#14535323C211yesmaximal, characteristic, complemented
14#14535295C211yesmaximal, characteristic, complemented
15#14535289C211yesmaximal, characteristic, complemented
16#14535270C211yesmaximal, characteristic, complemented
17#14535208C211yesmaximal, characteristic, complemented
18#14535135C211yesmaximal, characteristic, complemented
19#14534757C211yesmaximal, characteristic, complemented
20#14534739C211yesmaximal, characteristic, complemented
21#14533281C211yesmaximal, characteristic, complemented
22#14533035C211yesmaximal, characteristic, complemented
23#14532612C211yesmaximal, characteristic, complemented
24#14532445C211yesmaximal, characteristic, complemented
25#14532244C211yesmaximal, characteristic, complemented
26#14532159C211yesmaximal, characteristic
27#14532111C211yesmaximal, characteristic, complemented
28#14531445C211yesmaximal, characteristic, complemented
29#14531398C211yesmaximal, characteristic, complemented
30C2×#11762685C211yesmaximal, characteristic, complemented
31C17×#2412C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587584C2211yescharacteristic, complemented
35C2×#10587572C2211yescharacteristic, complemented
36C2×#10587615C2211yescharacteristic
37C2×#10587615C2211yescharacteristic
38C2×#10587569C2211yescharacteristic, complemented
39C2×#10587569C2211yescharacteristic, complemented
40C2×#10587583C2211yescharacteristic, complemented
41C2×#10587583C2211yescharacteristic, complemented
42C2×#10587610C2211yescharacteristic
43C2×#10587564C2211yescharacteristic, complemented
44C2×#10587625C2211yescharacteristic
45C2×#10587625C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×D4×Dic17C2211yescharacteristic
48C22×C22⋊Dic17C2211yescharacteristic
49C22×C22⋊Dic17C2211yescharacteristic
50C22×#63227C2211yescharacteristic
51C17⋊#401C2211yescharacteristic, complemented
52#11762751C2211yescharacteristic, complemented
53#11762751C2211yescharacteristic, complemented
54#11762751C2211yescharacteristic, complemented
55#11762751C2211yescharacteristic, complemented
56#11762750C2211yescharacteristic, complemented
57#11762750C2211yescharacteristic, complemented
58#11762749C2211yescharacteristic, complemented
59#11762749C2211yescharacteristic, complemented
60#11762748C2211yescharacteristic, complemented
61#11762748C2211yescharacteristic, complemented
62#11762747C2211yescharacteristic, complemented
63#11762746C2211yescharacteristic, complemented
64#11762745C2211yescharacteristic, complemented
65#11762742C2211yescharacteristic, complemented
66#11762742C2211yescharacteristic, complemented
67#11762742C2211yescharacteristic, complemented
68#11762741C2211yescharacteristic, complemented
69#11762741C2211yescharacteristic, complemented
70#11762741C2211yescharacteristic, complemented
71#11762738C2211yescharacteristic, complemented
72#11762737C2211yescharacteristic, complemented
73#11762737C2211yescharacteristic, complemented
74#11762736C2211yescharacteristic, complemented
75#11762736C2211yescharacteristic, complemented
76#11762735C2211yescharacteristic, complemented
77#11762734C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762732C2211yescharacteristic, complemented
80#11762732C2211yescharacteristic, complemented
81#11762732C2211yescharacteristic, complemented
82#11762731C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic, complemented
85#11762724C2211yescharacteristic
86#11762724C2211yescharacteristic
87#11762724C2211yescharacteristic
88#11762724C2211yescharacteristic
89#11762724C2211yescharacteristic
90#11762724C2211yescharacteristic
91#11762721C2211yescharacteristic, complemented
92#11762721C2211yescharacteristic, complemented
93#11762717C2211yescharacteristic
94#11762717C2211yescharacteristic
95#11762713C2211yescharacteristic, complemented
96#11762712C2211yescharacteristic, complemented
97#11762712C2211yescharacteristic, complemented
98#11762704C2211yescharacteristic, complemented
99#11762702C2211yescharacteristic, complemented
100#11762702C2211yescharacteristic, complemented
101#11762702C2211yescharacteristic, complemented
102#11762702C2211yescharacteristic, complemented
103#11762701C2211yescharacteristic, complemented
104#11762701C2211yescharacteristic, complemented
105#11762701C2211yescharacteristic, complemented
106#11762699C2211yescharacteristic, complemented
107#11762698C2211yescharacteristic, complemented
108#11762695C2211yescharacteristic, complemented
109#11762694C2211yescharacteristic, complemented
110#11762692C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic
112#11762689C2211yescharacteristic
113#11762689C2211yescharacteristic, complemented
114#11762689C2211yescharacteristic, complemented
115#11762688C2211yescharacteristic
116#11762688C2211yescharacteristic
117#11762686C2211yescharacteristic
118#11762686C2211yescharacteristic
119#11762686C2211yescharacteristic, complemented
120#11762685C2211yescharacteristic
121#11762685C2211yescharacteristic
122#11762685C2211yescharacteristic
123#11762685C2211yescharacteristic
124#11762685C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic, complemented
129#11762685C2211yescharacteristic, complemented
130#11762684C2211yescharacteristic
131#11762684C2211yescharacteristic
132#11762684C2211yescharacteristic
133#11762684C2211yescharacteristic
134#11762684C2211yescharacteristic
135#11762684C2211yescharacteristic, complemented
136#11762684C2211yescharacteristic, complemented
137#11762684C2211yescharacteristic, complemented
138#11762684C2211yescharacteristic, complemented
139#11762684C2211yescharacteristic, complemented
140#11762684C2211yescharacteristic, complemented
141#11762683C2211yescharacteristic, complemented
142#11762683C2211yescharacteristic, complemented
143#11762683C2211yescharacteristic, complemented
144#11762683C2211yescharacteristic, complemented
145#11762683C2211yescharacteristic, complemented
146#11762683C2211yescharacteristic, complemented
147#11762682C2211yescharacteristic
148#11762682C2211yescharacteristic
149#11762681C2211yescharacteristic
150#11762681C2211yescharacteristic
151#11762681C2211yescharacteristic
152#11762681C2211yescharacteristic, complemented
153#11762673C2211yescharacteristic, complemented
154#11762671C2211yescharacteristic, complemented
155#11762671C2211yescharacteristic, complemented
156#11762669C2211yescharacteristic
157#11762669C2211yescharacteristic, complemented
158#11762669C2211yescharacteristic, complemented
159#11762669C2211yescharacteristic, complemented
160#11762669C2211yescharacteristic, complemented
161#11762667C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic, complemented
163#11762666C2211yescharacteristic, complemented
164#11762666C2211yescharacteristic, complemented
165#11762665C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169C22⋊C4×Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#123C2211yescharacteristic, complemented
173C2×C17×#120C2211yescharacteristic
174C22×C22⋊C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C17×#397C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic, complemented
183C17×#385C2211yescharacteristic, complemented
184C17×#381C2211yescharacteristic, complemented
185C17×#380C2211yescharacteristic
186C17×#380C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17—24no—
197C22×C22⋊D17—42no—
198C22×C22⋊D17—42no—
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C22×C4×D17—42no—
212C22×C4×D17—42no—
213C22×C4×D17—42no—
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×Dic34C2311yescharacteristic
219C17×#123—42no—
220C17×#120—24no—
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17—24no—
226C2×C22⋊C4×C17—42no—
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊Dic17—42no—
243C2×C22⋊Dic17—42no—
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263#10587625—42no—
264#10587625—42no—
265#10587623—42no—
266D4×Dic17—42no—
267#10587615—42no—
268#10587615—42no—
269C2×#63227—42no—
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302#10587610—42no—
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318#10587584—42no—
319#10587583—42no—
320#10587583—42no—
321#10587572—42no—
322#10587569—42no—
323#10587569—42no—
324#10587564—42no—
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
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
369C24×C17—22no—
370C24×C17—22no—
371C24×C17—41no—
372C24×C17—41no—
373C24×C17—41no—
374C24×C17—41no—
375C24×C17#4114yes—
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17—22no—
384C23×D17—22no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—416no—
440C22×Dic17—22no—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—41no—
444C22×Dic17—41no—
445C22×Dic17—41no—
446C22×Dic17—41no—
447C22×Dic17—41no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17—41no—
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—416no—
485C2×Dic34—22no—
486C2×Dic34—41no—
487C2×Dic34—41no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—22no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊Dic17—22no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526#63227—22no—
527#63227—22no—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544C4⋊Dic17—41no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550C4⋊Dic17—41no—
551C4⋊Dic17—41no—
552C4⋊Dic17—41no—
553C4⋊Dic17—41no—
554C4⋊Dic17—41no—
555C4⋊Dic17—41no—
556C4⋊Dic17—41no—
557C4⋊Dic17—41no—
558#63225—22no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36775—171nomaximal, Sylow
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—28no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—44no—
599C23×C17—44no—
600C23×C17—82no—
601C23×C17—82no—
602C23×C17—82no—
603C23×C17—82no—
604C23×C17C2×#4112yes—
605C23×C17C2×#4112yes—
606C23×C17C2×#4112yes—
607C23×C17H(5,𝔽2)12yes—
608C23×C172−1+412yes—
609C23×C17C2511yescharacteristic
610C22×D17—28no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—44no—
624C22×D17—44no—
625C22×D17—44no—
626C22×D17—44no—
627C22×D17—44no—
628C22×D17—44no—
629C22×D17H(5,𝔽2)12yes—
630C22×D17H(5,𝔽2)12yes—
631D4×C17—44no—
632D4×C17—82no—
633D4×C17—82no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—44no—
667C2×C4×C17—82no—
668C2×C4×C17—82no—
669C2×C4×C17—82no—
670C2×C4×C17H(5,𝔽2)12yes—
671C22⋊D17—44no—
672C22⋊D17—44no—
673C22⋊D17—44no—
674C22⋊D17—44no—
675C22⋊D17—82no—
676C22⋊D17—82no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—44no—
720C2×Dic17—44no—
721C2×Dic17—82no—
722C2×Dic17—82no—
723C2×Dic17—82no—
724C2×Dic17—82no—
725C4×D17—44no—
726C4×D17—44no—
727C4×D17—44no—
728C4×D17—44no—
729Dic34—82no—
730#2849—171no—
731#2848—171no—
732#2782—171no—
733#2750—171no—
734#2746—171no—
735#2746—171no—
736#2743—171no—
737#2728—171no—
738#2708—171no—
739#2708—171no—
740#2706—171no—
741#2696—171no—
742#2695—171no—
743#2693—171no—
744#2693—171no—
745#2691—171no—
746#2687—171no—
747#2681—171no—
748#2646—171no—
749#2643—171no—
750#2505—171no—
751#2480—171no—
752#2450—171no—
753#2437—171no—
754#2418—171no—
755#2412D1711yescharacteristic, complemented
756#2410—171no—
757#2405—171no—
758#2321—171no—
759#2315—171no—
760C2×#386—171no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
770C22×C17—22no—
771C22×C17—22no—
772C22×C17—22no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—88no—
789C22×C17#53914yes—
790C22×C17C22×#4111yescharacteristic
791C22×C17C2×H(5,𝔽2)11yescharacteristic
792C22×C17C2×H(5,𝔽2)11yescharacteristic
793C22×C17C2×H(5,𝔽2)11yescharacteristic
794C22×C17C2×H(5,𝔽2)11yescharacteristic
795C22×C17C2×2−1+411yescharacteristic
796C22×C17#58511yescharacteristic
797C2×D17—22no—
798C2×D17—22no—
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—416no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—41no—
810C2×D17—41no—
811C2×D17—41no—
812C4×C17—22no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820C4×C17—41no—
821C4×C17—41no—
822C4×C17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833Dic17—41no—
834Dic17—41no—
835Dic17—41no—
836Dic17—41no—
837C23×D4—171no—
838C24×C4—171no—
839C2×#126—171no—
840C2×#123—171no—
841C2×#123—171no—
842C2×#123—171no—
843C2×#123—171no—
844C2×#123—171no—
845C2×#123C2×D1711yescharacteristic, complemented
846C2×C22⋊Q8—171no—
847C2×C22⋊Q8—171no—
848C2×C22⋊Q8—171no—
849C2×C22⋊Q8—171no—
850C2×#121—171no—
851C2×#121—171no—
852C2×#120—171no—
853C2×#120C2×D1711yescharacteristic
854C2×C4×D4—171no—
855C22×C22⋊C4—171no—
856C22×C22⋊C4—171no—
857C22×C22⋊C4—171no—
858C22×C22⋊C4C2×D1711yescharacteristic
859C22×C22⋊C4C2×D1711yescharacteristic
860#401—171no—
861#400—171no—
862#400—171no—
863#400—171no—
864#400—171no—
865#400—171no—
866#400—171no—
867#400—171no—
868#400—171no—
869#400—171no—
870#400—171no—
871#400—171no—
872#399—171no—
873#399—171no—
874#398—171no—
875#398—171no—
876#398—171no—
877#398—171no—
878#398—171no—
879#398—171no—
880#397—171no—
881#397—171no—
882#397—171no—
883#397—171no—
884#397—171no—
885#397—171no—
886#397—171no—
887#397C2×D1711yescharacteristic, complemented
888#397C2×D1711yescharacteristic, complemented
889#396—171no—
890#396—171no—
891#396—171no—
892#396—171no—
893#396—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#394—171no—
900#394—171no—
901#394—171no—
902#394C2×D1711yescharacteristic, complemented
903#394C2×D1711yescharacteristic, complemented
904#393—171no—
905#393—171no—
906#392—171no—
907#392—171no—
908#391—171no—
909#390—171no—
910#390—171no—
911#389—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#387—171no—
922#387—171no—
923#387—171no—
924#386—171no—
925#386—171no—
926#386—171no—
927#386—171no—
928#386—171no—
929#386—171no—
930#386—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386C2×D1711yescharacteristic
944#386C2×D1711yescharacteristic
945#386C2×D1711yescharacteristic, complemented
946#385—171no—
947#385—171no—
948#385—171no—
949#385—171no—
950#385—171no—
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385C2×D1711yescharacteristic, complemented
970#382—171no—
971#381—171no—
972#381—171no—
973#381C2×D1711yescharacteristic, complemented
974#380—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380—171no—
982#380—171no—
983#380C2×D1711yescharacteristic
984#380C2×D1711yescharacteristic
985#379—171no—
986#379—171no—
987#379—171no—
988#379—171no—
989C4×C22⋊C4—171no—
990C2×#95—171no—
991C2×#95—171no—
992C2×C17—24no—
993C2×C17—42no—
994C2×C17—42no—
995C2×C17—81no—
996C2×C17C2×#53911yescharacteristic
997C2×C17#349011yescharacteristic
998C2×C17#350511yescharacteristic
999C2×C17#353211yescharacteristic
1000C2×C17#353411yescharacteristic
1001C2×C17#353511yescharacteristic
1002C2×C17#353611yescharacteristic
1003D17—42no—
1004D17—42no—
1005C25—171no—
1006C25C22×D1711yescharacteristic
1007C22×Q8—171no—
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—344no—
1015C22×D4—682no—
1016C22×D4—682no—
1017C22×D4C22×D1711yescharacteristic
1018C22×D4C22×D1711yescharacteristic
1019C22×D4C22×D1711yescharacteristic
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—171no—
1028C23×C4—171no—
1029C23×C4—171no—
1030C23×C4—682no—
1031C23×C4—682no—
1032C23×C4—682no—
1033C23×C4C22×D1711yescharacteristic
1034C23×C4C22×D1711yescharacteristic
1035C23×C4C22×D1711yescharacteristic
1036C23×C4C22×D1711yescharacteristic
1037#126—682no—
1038#123—42no—
1039#123—682no—
1040#123—682no—
1041#123—682no—
1042#123—682no—
1043#123—682no—
1044C22⋊Q8—682no—
1045C22⋊Q8—682no—
1046C22⋊Q8—682no—
1047C22⋊Q8—682no—
1048#121—682no—
1049#121—682no—
1050#120—24no—
1051#120—682no—
1052C4×D4—682no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C4⋊C4C22×D1711yescharacteristic
1082C2×C4⋊C4C22×D1711yescharacteristic
1083C2×C22⋊C4—24no—
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—682no—
1123C2×C22⋊C4—682no—
1124C2×C22⋊C4—682no—
1125C2×C22⋊C4C22×D1711yescharacteristic
1126C2×C22⋊C4C22×D1711yescharacteristic
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C22⋊C4C22×D1711yescharacteristic
1135C2×C22⋊C4C22×D1711yescharacteristic
1136C2×C22⋊C4C22×D1711yescharacteristic
1137C2×C22⋊C4C22×D1711yescharacteristic
1138C2×C22⋊C4C22×D1711yescharacteristic
1139C2×C22⋊C4C22×D1711yescharacteristic
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182#95C22×D1711yescharacteristic
1183#95C22×D1711yescharacteristic
1184#95C22×D1711yescharacteristic
1185#95C22×D1711yescharacteristic
1186#95C22×D1711yescharacteristic
1187C17#3677511yescharacteristic, complemented, Sylow
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—171no—
1195C24—171no—
1196C24—342no—
1197C24—342no—
1198C24—342no—
1199C24—342no—
1200C24—342no—
1201C24—681no—
1202C24—681no—
1203C24#6325414yes—
1204C24C23×D1711yescharacteristic
1205C24C23×D1711yescharacteristic
1206C24C23×D1711yescharacteristic
1207C24C23×D1711yescharacteristic
1208C2×Q8—342no—
1209C2×Q8—681no—
1210C2×Q8—681no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C2×D4—342no—
1223C2×D4—342no—
1224C2×D4—342no—
1225C2×D4—342no—
1226C2×D4—342no—
1227C2×D4—342no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—681no—
1231C2×D4—681no—
1232C2×D4—681no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—6816no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—171no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—171no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—6816no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C22×C4C23×D1711yescharacteristic
1305C22×C4C23×D1711yescharacteristic
1306C22×C4C23×D1711yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—342no—
1312C4⋊C4—681no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4—681no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C4⋊C4—681no—
1328C4⋊C4—681no—
1329C4⋊C4—681no—
1330C4⋊C4—681no—
1331C4⋊C4—681no—
1332C4⋊C4—681no—
1333C4⋊C4—681no—
1334C4⋊C4—681no—
1335C4⋊C4—681no—
1336C4⋊C4—681no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
1356C22⋊C4—342no—
1357C22⋊C4—342no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
1360C22⋊C4—342no—
1361C22⋊C4—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C42—681no—
1390C42—681no—
1391C42—681no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—28no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—44no—
1417C23—44no—
1418C23—82no—
1419C23—82no—
1420C23—82no—
1421C23—82no—
1422C23—172no—
1423C23—172no—
1424C23—348no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23—341no—
1432C23—341no—
1433C23—341no—
1434C23—341no—
1435C23—341no—
1436C23—341no—
1437C23—684no—
1438C23—684no—
1439C23—684no—
1440C23—684no—
1441C23—684no—
1442C23—684no—
1443C23C2×#6325412yes—
1444C23C2×#6325412yes—
1445C23C2×#6325412yes—
1446C23#1058769612yes—
1447C23#1058769712yes—
1448C23C24×D1711yescharacteristic
1449Q8—1362no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—684no—
1454D4—684no—
1455D4—684no—
1456D4—684no—
1457D4—1362no—
1458D4—1362no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—684no—
1538C2×C4—684no—
1539C2×C4—684no—
1540C2×C4—684no—
1541C2×C4—684no—
1542C2×C4—684no—
1543C2×C4—1362no—
1544C2×C4—1362no—
1545C2×C4—1362no—
1546C2×C4—1362no—
1547C2×C4#1058769112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—342no—
1577C22—342no—
1578C22—342no—
1579C22—342no—
1580C22—342no—
1581C22—342no—
1582C22—6816no—
1583C22—681no—
1584C22—681no—
1585C22—681no—
1586C22—681no—
1587C22—681no—
1588C22—681no—
1589C22—681no—
1590C22—681no—
1591C22#1176340314yes—
1592C22C22×#6325411yescharacteristic
1593C22H(5,𝔽2)×D1711yescharacteristic
1594C22H(5,𝔽2)×D1711yescharacteristic
1595C22C2×#1058769111yescharacteristic
1596C22C2×#1058769611yescharacteristic
1597C22C2×#1058769711yescharacteristic
1598C22#1176364511yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C4—681no—
1616C4—681no—
1617C4—681no—
1618C4—681no—
1619C4—681no—
1620C4—681no—
1621C4—681no—
1622C4—681no—
1623C4—681no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—81no—
1628C2—682no—
1629C2—682no—
1630C2C2×#1176340311yescharacteristic
1631C2#1454247211yescharacteristic
1632C2#1454261811yescharacteristic
1633C2#1454293311yescharacteristic
1634C2#1454297711yescharacteristic
1635C2#1454298011yescharacteristic
1636C2#1454300411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2412C2
prime radical#14532159C2
hypercenter#2412D17
hypocenterC17#36775
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. #14537075C2semidirect
2. #14537072C2semidirect
3. #14536455C2semidirect
4. #14536015C2semidirect
5. #14535975C2semidirect
6. #14535968C2semidirect
7. #14535923C2semidirect
8. #14535756C2semidirect
9. #14535504C2semidirect
10. #14535495C2semidirect
11. #14535476C2semidirect
12. #14535330C2semidirect
13. #14535323C2semidirect
14. #14535295C2semidirect
15. #14535289C2semidirect
16. #14535270C2semidirect
17. #14535208C2semidirect
18. #14535135C2semidirect
19. #14534757C2semidirect
20. #14534739C2semidirect
21. #14533281C2semidirect
22. #14533035C2semidirect
23. #14532612C2semidirect
24. #14532445C2semidirect
25. #14532244C2semidirect
27. #14532111C2semidirect
28. #14531445C2semidirect
29. #14531398C2semidirect
30. C2×#11762685C2semidirect
31. C17×#2412C2semidirect
34. C2×#10587584C22semidirect
35. C2×#10587572C22semidirect
38. C2×#10587569C22semidirect
39. C2×#10587569C22semidirect
40. C2×#10587583C22semidirect
41. C2×#10587583C22semidirect
43. C2×#10587564C22semidirect
51. C17⋊#401C22semidirect
52. #11762751C22semidirect
53. #11762751C22semidirect
54. #11762751C22semidirect
55. #11762751C22semidirect
56. #11762750C22semidirect
57. #11762750C22semidirect
58. #11762749C22semidirect
59. #11762749C22semidirect
60. #11762748C22semidirect
61. #11762748C22semidirect
62. #11762747C22semidirect
63. #11762746C22semidirect
64. #11762745C22semidirect
65. #11762742C22semidirect
66. #11762742C22semidirect
67. #11762742C22semidirect
68. #11762741C22semidirect
69. #11762741C22semidirect
70. #11762741C22semidirect
71. #11762738C22semidirect
72. #11762737C22semidirect
73. #11762737C22semidirect
74. #11762736C22semidirect
75. #11762736C22semidirect
76. #11762735C22semidirect
77. #11762734C22semidirect
78. #11762732C22semidirect
79. #11762732C22semidirect
80. #11762732C22semidirect
81. #11762732C22semidirect
82. #11762731C22semidirect
83. #11762725C22semidirect
84. #11762725C22semidirect
91. #11762721C22semidirect
92. #11762721C22semidirect
95. #11762713C22semidirect
96. #11762712C22semidirect
97. #11762712C22semidirect
98. #11762704C22semidirect
99. #11762702C22semidirect
100. #11762702C22semidirect
101. #11762702C22semidirect
102. #11762702C22semidirect
103. #11762701C22semidirect
104. #11762701C22semidirect
105. #11762701C22semidirect
106. #11762699C22semidirect
107. #11762698C22semidirect
108. #11762695C22semidirect
109. #11762694C22semidirect
110. #11762692C22semidirect
113. #11762689C22semidirect
114. #11762689C22semidirect
119. #11762686C22semidirect
128. #11762685C22semidirect
129. #11762685C22semidirect
135. #11762684C22semidirect
136. #11762684C22semidirect
137. #11762684C22semidirect
138. #11762684C22semidirect
139. #11762684C22semidirect
140. #11762684C22semidirect
141. #11762683C22semidirect
142. #11762683C22semidirect
143. #11762683C22semidirect
144. #11762683C22semidirect
145. #11762683C22semidirect
146. #11762683C22semidirect
152. #11762681C22semidirect
153. #11762673C22semidirect
154. #11762671C22semidirect
155. #11762671C22semidirect
157. #11762669C22semidirect
158. #11762669C22semidirect
159. #11762669C22semidirect
160. #11762669C22semidirect
161. #11762667C22semidirect
162. #11762667C22semidirect
163. #11762666C22semidirect
164. #11762666C22semidirect
172. C2×C17×#123C22semidirect
176. C17×#397C22semidirect
177. C17×#397C22semidirect
178. C17×#394C22semidirect
179. C17×#394C22semidirect
182. C17×#386C22semidirect
183. C17×#385C22semidirect
184. C17×#381C22semidirect
755. #2412D17semidirect
845. C2×#123C2×D17semidirect
887. #397C2×D17semidirect
888. #397C2×D17semidirect
902. #394C2×D17semidirect
903. #394C2×D17semidirect
945. #386C2×D17semidirect
969. #385C2×D17semidirect
973. #381C2×D17semidirect
1187. C17#36775semidirect

Maximal subgroups

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

subgroupindex
#145370752
#145370722
#145364552
#145360152
#145359752
#145359682
#145359232
#145357562
#145355042
#145354952
#145354762
#145353302
#145353232
#145352952
#145352892
#145352702
#145352082
#145351352
#145347572
#145347392
#145332812
#145330352
#145326122
#145324452
#145322442
#145321592
#145321112
#145314452
#145313982
C2×#117626852
C17×#24122
#3677517