Finite Group Databasebeta

← #17243194

Subgroups — #17243194

Order 4352.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537076C211yesmaximal, characteristic, complemented
2#14536622C211yesmaximal, characteristic, complemented
3#14536175C211yesmaximal, characteristic, complemented
4#14536124C211yesmaximal, characteristic, complemented
5#14536041C211yesmaximal, characteristic, complemented
6#14535835C211yesmaximal, characteristic, complemented
7#14535775C211yesmaximal, characteristic, complemented
8#14535697C211yesmaximal, characteristic, complemented
9#14535592C211yesmaximal, characteristic, complemented
10#14535552C211yesmaximal, characteristic, complemented
11#14535530C211yesmaximal, characteristic, complemented
12#14535457C211yesmaximal, characteristic, complemented
13#14535398C211yesmaximal, characteristic, complemented
14#14535378C211yesmaximal, characteristic, complemented
15#14535263C211yesmaximal, characteristic, complemented
16#14535187C211yesmaximal, characteristic, complemented
17#14535031C211yesmaximal, characteristic, complemented
18#14534595C211yesmaximal, characteristic, complemented
19#14534562C211yesmaximal, characteristic, complemented
20#14533962C211yesmaximal, characteristic, complemented
21#14533792C211yesmaximal, characteristic, complemented
22#14533035C211yesmaximal, characteristic, complemented
23#14533029C211yesmaximal, characteristic, complemented
24#14532917C211yesmaximal, characteristic, complemented
25#14532907C211yesmaximal, characteristic, complemented
26#14532433C211yesmaximal, characteristic, complemented
27#14532139C211yesmaximal, characteristic
28#14531515C211yesmaximal, characteristic, complemented
29#14531412C211yesmaximal, characteristic, complemented
30C2×#11762688C211yesmaximal, characteristic, complemented
31C17×#2848C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C2×#10587584C2211yescharacteristic, complemented
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587633C2211yescharacteristic, complemented
36C2×#10587571C2211yescharacteristic
37C2×#10587571C2211yescharacteristic
38C2×#10587571C2211yescharacteristic, complemented
39C2×#10587615C2211yescharacteristic, complemented
40C2×#10587615C2211yescharacteristic, complemented
41C2×#10587564C2211yescharacteristic
42C2×#10587564C2211yescharacteristic
43C2×#10587570C2211yescharacteristic
44C2×#10587570C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587639C2211yescharacteristic
47C2×#10587567C2211yescharacteristic
48C22×C22⋊Dic17C2211yescharacteristic
49C22×#63227C2211yescharacteristic
50C22×#63227C2211yescharacteristic
51#11762750C2211yescharacteristic, complemented
52#11762744C2211yescharacteristic, complemented
53#11762744C2211yescharacteristic, complemented
54#11762744C2211yescharacteristic, complemented
55#11762740C2211yescharacteristic, complemented
56#11762739C2211yescharacteristic, complemented
57#11762738C2211yescharacteristic, complemented
58#11762738C2211yescharacteristic, complemented
59#11762738C2211yescharacteristic, complemented
60#11762737C2211yescharacteristic, complemented
61#11762737C2211yescharacteristic, complemented
62#11762737C2211yescharacteristic, complemented
63#11762736C2211yescharacteristic, complemented
64#11762735C2211yescharacteristic, complemented
65#11762735C2211yescharacteristic, complemented
66#11762735C2211yescharacteristic, complemented
67#11762735C2211yescharacteristic, complemented
68#11762734C2211yescharacteristic, complemented
69#11762733C2211yescharacteristic, complemented
70#11762733C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic, complemented
72#11762731C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic, complemented
74#11762731C2211yescharacteristic, complemented
75#11762729C2211yescharacteristic, complemented
76#11762729C2211yescharacteristic, complemented
77#11762728C2211yescharacteristic, complemented
78#11762727C2211yescharacteristic, complemented
79#11762727C2211yescharacteristic, complemented
80#11762726C2211yescharacteristic, complemented
81#11762726C2211yescharacteristic, complemented
82#11762726C2211yescharacteristic, complemented
83#11762726C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic
85#11762725C2211yescharacteristic
86#11762725C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic
88#11762724C2211yescharacteristic
89#11762724C2211yescharacteristic
90#11762724C2211yescharacteristic
91#11762724C2211yescharacteristic, complemented
92#11762722C2211yescharacteristic, complemented
93#11762722C2211yescharacteristic, complemented
94#11762722C2211yescharacteristic, complemented
95#11762721C2211yescharacteristic, complemented
96#11762720C2211yescharacteristic, complemented
97#11762718C2211yescharacteristic
98#11762718C2211yescharacteristic
99#11762716C2211yescharacteristic, complemented
100#11762714C2211yescharacteristic, complemented
101#11762714C2211yescharacteristic, complemented
102#11762713C2211yescharacteristic, complemented
103#11762710C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic
106#11762709C2211yescharacteristic
107#11762709C2211yescharacteristic
108#11762709C2211yescharacteristic, complemented
109#11762705C2211yescharacteristic, complemented
110#11762704C2211yescharacteristic, complemented
111#11762704C2211yescharacteristic, complemented
112#11762704C2211yescharacteristic, complemented
113#11762703C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic, complemented
116#11762701C2211yescharacteristic, complemented
117#11762701C2211yescharacteristic, complemented
118#11762699C2211yescharacteristic, complemented
119#11762699C2211yescharacteristic, complemented
120#11762699C2211yescharacteristic, complemented
121#11762699C2211yescharacteristic, complemented
122#11762698C2211yescharacteristic, complemented
123#11762697C2211yescharacteristic, complemented
124#11762697C2211yescharacteristic, complemented
125#11762696C2211yescharacteristic, complemented
126#11762695C2211yescharacteristic, complemented
127#11762694C2211yescharacteristic, complemented
128#11762691C2211yescharacteristic, complemented
129#11762691C2211yescharacteristic, complemented
130#11762691C2211yescharacteristic, complemented
131#11762690C2211yescharacteristic, complemented
132#11762690C2211yescharacteristic, complemented
133#11762688C2211yescharacteristic
134#11762688C2211yescharacteristic
135#11762688C2211yescharacteristic
136#11762688C2211yescharacteristic
137#11762688C2211yescharacteristic
138#11762688C2211yescharacteristic
139#11762688C2211yescharacteristic
140#11762688C2211yescharacteristic
141#11762688C2211yescharacteristic
142#11762688C2211yescharacteristic
143#11762688C2211yescharacteristic, complemented
144#11762688C2211yescharacteristic, complemented
145#11762686C2211yescharacteristic
146#11762686C2211yescharacteristic
147#11762684C2211yescharacteristic
148#11762683C2211yescharacteristic, complemented
149#11762682C2211yescharacteristic
150#11762682C2211yescharacteristic
151#11762682C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic, complemented
153#11762681C2211yescharacteristic
154#11762680C2211yescharacteristic, complemented
155#11762676C2211yescharacteristic, complemented
156#11762674C2211yescharacteristic, complemented
157#11762672C2211yescharacteristic, complemented
158#11762672C2211yescharacteristic, complemented
159#11762671C2211yescharacteristic, complemented
160#11762667C2211yescharacteristic
161#11762667C2211yescharacteristic
162#11762666C2211yescharacteristic, complemented
163#11762665C2211yescharacteristic
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167C22⋊C4×Dic17C2211yescharacteristic
168C22⋊C4×Dic17C2211yescharacteristic
169C22⋊C4×Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C24×C4×C17C2211yescharacteristic
173C2×C17×C22⋊Q8C2211yescharacteristic
174C2×C17×C22⋊Q8C2211yescharacteristic, complemented
175C2×C17×C22⋊Q8C2211yescharacteristic, complemented
176C17×#385C2211yescharacteristic
177C17×#385C2211yescharacteristic
178C17×#385C2211yescharacteristic, complemented
179C17×#385C2211yescharacteristic, complemented
180C17×#385C2211yescharacteristic, complemented
181C17×#385C2211yescharacteristic, complemented
182C17×#380C2211yescharacteristic
183C17×#380C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C23×C4×C17—42no—
191C23×C4×C17—42no—
192C23×C4×C17—42no—
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C22×C22⋊D17—24no—
200C22×C22⋊D17—42no—
201C22×C22⋊D17—42no—
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×Dic34C2311yescharacteristic
216C22×Dic34C2311yescharacteristic
217C17×C22⋊Q8—42no—
218C17×C22⋊Q8—42no—
219C17×C22⋊Q8—42no—
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊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
241#10587639—42no—
242C2×C22⋊Dic17—42no—
243C2×C22⋊Dic17C2311yescharacteristic
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
256#10587633—42no—
257#10587615—42no—
258#10587615—42no—
259C2×#63227—42no—
260C2×#63227—42no—
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318#10587584—42no—
319#10587571—42no—
320#10587571—42no—
321#10587571—42no—
322#10587570—42no—
323#10587570—42no—
324#10587568—42no—
325#10587567—24no—
326#10587565—42no—
327#10587564—24no—
328#10587564—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
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—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C2×Q8×C17—22no—
390C2×Q8×C17—41no—
391C2×Q8×C17—41no—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—22no—
395C22×C4×C17—22no—
396C22×C4×C17—22no—
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
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×C17—416no—
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
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
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—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—416no—
445C22×Dic17—22no—
446C22×Dic17—22no—
447C22×Dic17—41no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17#4114yes—
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C2×D68—41no—
468C2×D68—41no—
469C2×D68—41no—
470C2×D68—41no—
471C2×D68—41no—
472C2×D68—41no—
473C2×C4×D17—22no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×Dic34—22no—
477C2×Dic34—41no—
478C2×Dic34—41no—
479C2×Dic34—41no—
480C2×Dic34—41no—
481C2×Dic34—41no—
482C4⋊C4×C17—22no—
483C4⋊C4×C17—41no—
484C4⋊C4×C17—41no—
485C4⋊C4×C17—41no—
486C4⋊C4×C17—41no—
487C4⋊C4×C17—41no—
488C4⋊C4×C17—41no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C22⋊C4×C17—22no—
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—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊Dic17—22no—
504C22⋊Dic17—22no—
505C22⋊Dic17—22no—
506C22⋊Dic17—22no—
507C22⋊Dic17—22no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516#63227—22no—
517#63227—22no—
518#63227—22no—
519#63227—22no—
520#63227—41no—
521#63227—41no—
522#63227—41no—
523#63227—41no—
524#63227—41no—
525#63227—41no—
526#63227—41no—
527#63227—41no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
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—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547C4⋊Dic17—22no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550C4⋊Dic17—41no—
551#63225—22no—
552#63225—22no—
553#63225—22no—
554#63225—22no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566C4×Dic17—22no—
567C4×Dic17—41no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36793—171nomaximal, Sylow
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—28no—
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—21no—
591C23×C17—44no—
592C23×C17—44no—
593C23×C17—44no—
594C23×C17—44no—
595C23×C17—44no—
596C23×C17—44no—
597C23×C17C2×#4112yes—
598C23×C17H(5,𝔽2)12yes—
599C23×C17H(5,𝔽2)12yes—
600C23×C17H(5,𝔽2)12yes—
601C23×C172−1+412yes—
602C23×C17C2511yescharacteristic
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
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—21no—
624C22×D17—44no—
625C22×D17—44no—
626C22×D17—44no—
627C22×D17—82no—
628C22×D17—82no—
629C22×D17—82no—
630C22×D17—82no—
631Q8×C17—82no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
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—21no—
667C2×C4×C17—44no—
668C2×C4×C17—44no—
669C2×C4×C17—44no—
670C2×C4×C17—44no—
671C2×C4×C17—44no—
672C2×C4×C17—44no—
673C2×C4×C17H(5,𝔽2)12yes—
674C22⋊D17—44no—
675C22⋊D17—44no—
676C22⋊D17—44no—
677C22⋊D17—44no—
678C22⋊D17—44no—
679C22⋊D17—82no—
680C22⋊D17—82no—
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—44no—
719C2×Dic17—82no—
720C2×Dic17—82no—
721C2×Dic17C2×#4112yes—
722C2×Dic17C2×#4112yes—
723D68—82no—
724D68—82no—
725C4×D17—82no—
726Dic34—82no—
727Dic34—82no—
728#2849—171no—
729#2848D1711yescharacteristic, complemented
730#2796—171no—
731#2761—171no—
732#2757—171no—
733#2751—171no—
734#2737—171no—
735#2730—171no—
736#2723—171no—
737#2715—171no—
738#2712—171no—
739#2710—171no—
740#2705—171no—
741#2701—171no—
742#2700—171no—
743#2691—171no—
744#2686—171no—
745#2672—171no—
746#2626—171no—
747#2622—171no—
748#2564—171no—
749#2549—171no—
750#2480—171no—
751#2480—171no—
752#2472—171no—
753#2472—171no—
754#2435—171no—
755#2408—171no—
756#2329—171no—
757#2318—171no—
758C2×#386—171no—
759C22×C17—22no—
760C22×C17—22no—
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—416no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17#54214yes—
781C22×C17C22×#4111yescharacteristic
782C22×C17C2×H(5,𝔽2)11yescharacteristic
783C22×C17C2×H(5,𝔽2)11yescharacteristic
784C22×C17C2×H(5,𝔽2)11yescharacteristic
785C22×C17C2×H(5,𝔽2)11yescharacteristic
786C22×C17C2×2−1+411yescharacteristic
787C22×C17#58511yescharacteristic
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—88no—
810C4×C17—22no—
811C4×C17—41no—
812C4×C17—41no—
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—
822Dic17—22no—
823Dic17—22no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833Dic17—41no—
834Dic17—41no—
835C23×D4—171no—
836C24×C4C2×D1711yescharacteristic
837C2×#126—171no—
838C2×#126—171no—
839C2×#124—171no—
840C2×#124—171no—
841C2×#124—171no—
842C2×#124—171no—
843C2×#123—171no—
844C2×#123—171no—
845C2×C22⋊Q8—171no—
846C2×C22⋊Q8—171no—
847C2×C22⋊Q8C2×D1711yescharacteristic
848C2×C22⋊Q8C2×D1711yescharacteristic, complemented
849C2×C22⋊Q8C2×D1711yescharacteristic, complemented
850C2×#121—171no—
851C2×#121—171no—
852C2×#120—171no—
853C2×#120—171no—
854C2×C4×D4—171no—
855C22×C22⋊C4—171no—
856C22×C22⋊C4—171no—
857C22×C22⋊C4—171no—
858#400—171no—
859#399—171no—
860#399—171no—
861#399—171no—
862#398—171no—
863#398—171no—
864#397—171no—
865#397—171no—
866#397—171no—
867#397—171no—
868#397—171no—
869#397—171no—
870#397—171no—
871#397—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#396—171no—
877#396—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#396—171no—
882#395—171no—
883#395—171no—
884#395—171no—
885#394—171no—
886#394—171no—
887#394—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#393—171no—
900#393—171no—
901#393—171no—
902#393—171no—
903#393—171no—
904#392—171no—
905#392—171no—
906#391—171no—
907#391—171no—
908#391—171no—
909#391—171no—
910#390—171no—
911#390—171no—
912#390—171no—
913#390—171no—
914#390—171no—
915#390—171no—
916#389—171no—
917#389—171no—
918#389—171no—
919#389—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#388—171no—
931#388—171no—
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387—171no—
937#387—171no—
938#387—171no—
939#387—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386—171no—
953#386—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#385C2×D1711yescharacteristic
963#385C2×D1711yescharacteristic
964#385C2×D1711yescharacteristic, complemented
965#385C2×D1711yescharacteristic, complemented
966#385C2×D1711yescharacteristic, complemented
967#385C2×D1711yescharacteristic, complemented
968#383—171no—
969#382—171no—
970#381—171no—
971#381—171no—
972#381—171no—
973#380—171no—
974#380—171no—
975#380—171no—
976#380C2×D1711yescharacteristic
977#380C2×D1711yescharacteristic, complemented
978#380C2×D1711yescharacteristic, complemented
979#379—171no—
980#379—171no—
981#379—171no—
982#379—171no—
983#379C2×D1711yescharacteristic
984#379C2×D1711yescharacteristic
985C4×C22⋊C4—171no—
986C4×C22⋊C4—171no—
987C4×C22⋊C4—171no—
988C2×#95—171no—
989C2×#95—171no—
990C2×C17—24no—
991C2×C17—42no—
992C2×C17—42no—
993C2×C17C2×#54211yescharacteristic
994C2×C17#349011yescharacteristic
995C2×C17#350611yescharacteristic
996C2×C17#353211yescharacteristic
997C2×C17#353411yescharacteristic
998C2×C17#353511yescharacteristic
999C2×C17#353611yescharacteristic
1000D17—81no—
1001D17—81no—
1002D17—81no—
1003C25—171no—
1004C25C22×D1711yescharacteristic
1005C22×Q8—171no—
1006C22×Q8—171no—
1007C22×Q8C22×D1711yescharacteristic
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—171no—
1015C22×D4—171no—
1016C22×D4—171no—
1017C22×D4—344no—
1018C22×D4—682no—
1019C22×D4—682no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4C22×D1711yescharacteristic
1028C23×C4C22×D1711yescharacteristic
1029C23×C4C22×D1711yescharacteristic
1030C23×C4C22×D1711yescharacteristic
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033#126—682no—
1034#126—682no—
1035#124—682no—
1036#124—682no—
1037#124—682no—
1038#124—682no—
1039#123—682no—
1040#123—682no—
1041C22⋊Q8—42no—
1042C22⋊Q8—42no—
1043C22⋊Q8—42no—
1044C22⋊Q8—344no—
1045C22⋊Q8—682no—
1046#121—682no—
1047#121—682no—
1048#120—682no—
1049#120—682no—
1050C4×D4—344no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
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⋊C4C22×D1711yescharacteristic
1071C2×C4⋊C4C22×D1711yescharacteristic
1072C2×C4⋊C4C22×D1711yescharacteristic
1073C2×C4⋊C4C22×D1711yescharacteristic
1074C2×C4⋊C4C22×D1711yescharacteristic
1075C2×C4⋊C4C22×D1711yescharacteristic
1076C2×C4⋊C4C22×D1711yescharacteristic
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C22⋊C4—171no—
1080C2×C22⋊C4—171no—
1081C2×C22⋊C4—171no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
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—171no—
1123C2×C22⋊C4—682no—
1124C2×C22⋊C4—682no—
1125C2×C22⋊C4—682no—
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×C42—171no—
1139C2×C42—171no—
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—171no—
1143C2×C42—171no—
1144C2×C42—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
1185C17#3679311yescharacteristic, complemented, Sylow
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—171no—
1194C24—171no—
1195C24—171no—
1196C24—342no—
1197C24—342no—
1198C24—342no—
1199C24—681no—
1200C24—681no—
1201C24—681no—
1202C24—681no—
1203C24C23×D1711yescharacteristic
1204C24C23×D1711yescharacteristic
1205C24C23×D1711yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—342no—
1210C2×Q8—681no—
1211C2×Q8—681no—
1212C2×Q8—681no—
1213C2×Q8—681no—
1214C2×Q8—681no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—342no—
1218C2×D4—342no—
1219C2×D4—342no—
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—681no—
1229C2×D4—681no—
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—681no—
1239C2×D4—681no—
1240C2×D4—681no—
1241C2×D4—681no—
1242C2×D4—6816no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—416no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—174no—
1265C22×C4—171no—
1266C22×C4—171no—
1267C22×C4—171no—
1268C22×C4—171no—
1269C22×C4—171no—
1270C22×C4—171no—
1271C22×C4—171no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—342no—
1277C22×C4—342no—
1278C22×C4—342no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—342no—
1309C4⋊C4—342no—
1310C4⋊C4—342no—
1311C4⋊C4—342no—
1312C4⋊C4—342no—
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—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—342no—
1340C22⋊C4—342no—
1341C22⋊C4—342no—
1342C22⋊C4—342no—
1343C22⋊C4—342no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—681no—
1351C22⋊C4—681no—
1352C22⋊C4—681no—
1353C22⋊C4—681no—
1354C22⋊C4—681no—
1355C22⋊C4—681no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4—681no—
1361C22⋊C4—681no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
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—
1383C42—342no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
1387C42—681no—
1388C42—681no—
1389C42—681no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
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—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—341no—
1414C23—341no—
1415C23—341no—
1416C23—341no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23—341no—
1432C23—341no—
1433C23—341no—
1434C23—684no—
1435C23—684no—
1436C23—684no—
1437C23—1362no—
1438C23—1362no—
1439C23—1362no—
1440C23—1362no—
1441C23#1058769112yes—
1442C23#1058769112yes—
1443C23#1058769412yes—
1444C23#41×D1712yes—
1445C23#1058769612yes—
1446C23C24×D1711yescharacteristic
1447Q8—82no—
1448Q8—1362no—
1449Q8—1362no—
1450D4—684no—
1451D4—684no—
1452D4—684no—
1453D4—684no—
1454D4—684no—
1455D4—1362no—
1456D4—1362no—
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—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—172no—
1501C2×C4—172no—
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—341no—
1538C2×C4—341no—
1539C2×C4—684no—
1540C2×C4—1362no—
1541C2×C4—1362no—
1542C2×C4—1362no—
1543C2×C4#1058769112yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—681no—
1566C22—681no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22—681no—
1583C22—681no—
1584C22—681no—
1585C22—681no—
1586C22—1368no—
1587C22#1176342914yes—
1588C22C2×#41×D1711yescharacteristic
1589C22C2×#1058769111yescharacteristic
1590C22C2×#1058769111yescharacteristic
1591C22C2×#1058769111yescharacteristic
1592C22C2×#1058769611yescharacteristic
1593C22C2×#1058769411yescharacteristic
1594C22#1176364511yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—342no—
1608C4—342no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C4—681no—
1616C4—681no—
1617C4—681no—
1618C4—681no—
1619C4—681no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—1361no—
1624C2—1361no—
1625C2—1361no—
1626C2C2×#1176342911yescharacteristic
1627C2#1454246711yescharacteristic
1628C2#1454262711yescharacteristic
1629C2#1454293911yescharacteristic
1630C2#1454296811yescharacteristic
1631C2#1454299311yescharacteristic
1632C2#1454301311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2848C2
prime radical#14532139C2
hypercenter#2848D17
hypocenterC17#36793
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. #14537076C2semidirect
2. #14536622C2semidirect
3. #14536175C2semidirect
4. #14536124C2semidirect
5. #14536041C2semidirect
6. #14535835C2semidirect
7. #14535775C2semidirect
8. #14535697C2semidirect
9. #14535592C2semidirect
10. #14535552C2semidirect
11. #14535530C2semidirect
12. #14535457C2semidirect
13. #14535398C2semidirect
14. #14535378C2semidirect
15. #14535263C2semidirect
16. #14535187C2semidirect
17. #14535031C2semidirect
18. #14534595C2semidirect
19. #14534562C2semidirect
20. #14533962C2semidirect
21. #14533792C2semidirect
22. #14533035C2semidirect
23. #14533029C2semidirect
24. #14532917C2semidirect
25. #14532907C2semidirect
26. #14532433C2semidirect
28. #14531515C2semidirect
29. #14531412C2semidirect
30. C2×#11762688C2semidirect
31. C17×#2848C2semidirect
33. C2×#10587584C22semidirect
34. C2×#10587565C22semidirect
35. C2×#10587633C22semidirect
38. C2×#10587571C22semidirect
39. C2×#10587615C22semidirect
40. C2×#10587615C22semidirect
51. #11762750C22semidirect
52. #11762744C22semidirect
53. #11762744C22semidirect
54. #11762744C22semidirect
55. #11762740C22semidirect
56. #11762739C22semidirect
57. #11762738C22semidirect
58. #11762738C22semidirect
59. #11762738C22semidirect
60. #11762737C22semidirect
61. #11762737C22semidirect
62. #11762737C22semidirect
63. #11762736C22semidirect
64. #11762735C22semidirect
65. #11762735C22semidirect
66. #11762735C22semidirect
67. #11762735C22semidirect
68. #11762734C22semidirect
69. #11762733C22semidirect
70. #11762733C22semidirect
71. #11762732C22semidirect
72. #11762731C22semidirect
73. #11762731C22semidirect
74. #11762731C22semidirect
75. #11762729C22semidirect
76. #11762729C22semidirect
77. #11762728C22semidirect
78. #11762727C22semidirect
79. #11762727C22semidirect
80. #11762726C22semidirect
81. #11762726C22semidirect
82. #11762726C22semidirect
83. #11762726C22semidirect
86. #11762725C22semidirect
91. #11762724C22semidirect
92. #11762722C22semidirect
93. #11762722C22semidirect
94. #11762722C22semidirect
95. #11762721C22semidirect
96. #11762720C22semidirect
99. #11762716C22semidirect
100. #11762714C22semidirect
101. #11762714C22semidirect
102. #11762713C22semidirect
103. #11762710C22semidirect
108. #11762709C22semidirect
109. #11762705C22semidirect
110. #11762704C22semidirect
111. #11762704C22semidirect
112. #11762704C22semidirect
113. #11762703C22semidirect
114. #11762702C22semidirect
115. #11762702C22semidirect
116. #11762701C22semidirect
117. #11762701C22semidirect
118. #11762699C22semidirect
119. #11762699C22semidirect
120. #11762699C22semidirect
121. #11762699C22semidirect
122. #11762698C22semidirect
123. #11762697C22semidirect
124. #11762697C22semidirect
125. #11762696C22semidirect
126. #11762695C22semidirect
127. #11762694C22semidirect
128. #11762691C22semidirect
129. #11762691C22semidirect
130. #11762691C22semidirect
131. #11762690C22semidirect
132. #11762690C22semidirect
143. #11762688C22semidirect
144. #11762688C22semidirect
148. #11762683C22semidirect
151. #11762682C22semidirect
152. #11762682C22semidirect
154. #11762680C22semidirect
155. #11762676C22semidirect
156. #11762674C22semidirect
157. #11762672C22semidirect
158. #11762672C22semidirect
159. #11762671C22semidirect
162. #11762666C22semidirect
174. C2×C17×C22⋊Q8C22semidirect
175. C2×C17×C22⋊Q8C22semidirect
178. C17×#385C22semidirect
179. C17×#385C22semidirect
180. C17×#385C22semidirect
181. C17×#385C22semidirect
183. C17×#380C22semidirect
184. C17×#380C22semidirect
729. #2848D17semidirect
848. C2×C22⋊Q8C2×D17semidirect
849. C2×C22⋊Q8C2×D17semidirect
964. #385C2×D17semidirect
965. #385C2×D17semidirect
966. #385C2×D17semidirect
967. #385C2×D17semidirect
977. #380C2×D17semidirect
978. #380C2×D17semidirect
1185. C17#36793semidirect

Maximal subgroups

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

subgroupindex
#145370762
#145366222
#145361752
#145361242
#145360412
#145358352
#145357752
#145356972
#145355922
#145355522
#145355302
#145354572
#145353982
#145353782
#145352632
#145351872
#145350312
#145345952
#145345622
#145339622
#145337922
#145330352
#145330292
#145329172
#145329072
#145324332
#145321392
#145315152
#145314122
C2×#117626882
C17×#28482
#3679317