Finite Group Databasebeta

← #17243180

Subgroups — #17243180

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#14537074C211yesmaximal, characteristic, complemented
2#14537069C211yesmaximal, characteristic, complemented
3#14536628C211yesmaximal, characteristic, complemented
4#14536165C211yesmaximal, characteristic, complemented
5#14536121C211yesmaximal, characteristic, complemented
6#14536039C211yesmaximal, characteristic, complemented
7#14535837C211yesmaximal, characteristic, complemented
8#14535783C211yesmaximal, characteristic, complemented
9#14535700C211yesmaximal, characteristic, complemented
10#14535588C211yesmaximal, characteristic, complemented
11#14535549C211yesmaximal, characteristic, complemented
12#14535528C211yesmaximal, characteristic, complemented
13#14535464C211yesmaximal, characteristic, complemented
14#14535393C211yesmaximal, characteristic, complemented
15#14535388C211yesmaximal, characteristic, complemented
16#14535261C211yesmaximal, characteristic, complemented
17#14535186C211yesmaximal, characteristic, complemented
18#14535029C211yesmaximal, characteristic, complemented
19#14534593C211yesmaximal, characteristic, complemented
20#14534559C211yesmaximal, characteristic, complemented
21#14533960C211yesmaximal, characteristic, complemented
22#14533796C211yesmaximal, characteristic, complemented
23#14533029C211yesmaximal, characteristic, complemented
24#14533029C211yesmaximal, characteristic, complemented
25#14532909C211yesmaximal, characteristic, complemented
26#14532909C211yesmaximal, characteristic, complemented
27#14532431C211yesmaximal, characteristic, complemented
28#14531514C211yesmaximal, characteristic, complemented
29#14531417C211yesmaximal, characteristic, complemented
30C2×#11762689C211yesmaximal, characteristic, complemented
31C17×#2408C211yesmaximal, characteristic
32C24×Dic17C2211yescharacteristic
33C2×#10587565C2211yescharacteristic, complemented
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587622C2211yescharacteristic
36C2×#10587622C2211yescharacteristic
37C2×#10587622C2211yescharacteristic, complemented
38C2×#10587622C2211yescharacteristic, complemented
39C2×#10587621C2211yescharacteristic, complemented
40C2×#10587621C2211yescharacteristic, complemented
41C2×#10587610C2211yescharacteristic
42C2×#10587564C2211yescharacteristic
43C2×#10587564C2211yescharacteristic
44C2×#10587564C2211yescharacteristic, complemented
45C2×#10587564C2211yescharacteristic, complemented
46C22×C22⋊Dic17C2211yescharacteristic
47C22×C22⋊Dic17C2211yescharacteristic
48C22×C22⋊Dic17C2211yescharacteristic
49#11762748C2211yescharacteristic, complemented
50#11762745C2211yescharacteristic, complemented
51#11762745C2211yescharacteristic, complemented
52#11762745C2211yescharacteristic, complemented
53#11762742C2211yescharacteristic, complemented
54#11762742C2211yescharacteristic, complemented
55#11762737C2211yescharacteristic, complemented
56#11762737C2211yescharacteristic, complemented
57#11762737C2211yescharacteristic, complemented
58#11762737C2211yescharacteristic, complemented
59#11762737C2211yescharacteristic, complemented
60#11762737C2211yescharacteristic, complemented
61#11762737C2211yescharacteristic, complemented
62#11762737C2211yescharacteristic, complemented
63#11762734C2211yescharacteristic, complemented
64#11762734C2211yescharacteristic, complemented
65#11762734C2211yescharacteristic, complemented
66#11762734C2211yescharacteristic, complemented
67#11762732C2211yescharacteristic, complemented
68#11762732C2211yescharacteristic, complemented
69#11762732C2211yescharacteristic, complemented
70#11762732C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762729C2211yescharacteristic, complemented
74#11762729C2211yescharacteristic, complemented
75#11762729C2211yescharacteristic, complemented
76#11762723C2211yescharacteristic
77#11762723C2211yescharacteristic
78#11762723C2211yescharacteristic
79#11762723C2211yescharacteristic
80#11762723C2211yescharacteristic, complemented
81#11762723C2211yescharacteristic, complemented
82#11762723C2211yescharacteristic, complemented
83#11762723C2211yescharacteristic, complemented
84#11762723C2211yescharacteristic, complemented
85#11762723C2211yescharacteristic, complemented
86#11762723C2211yescharacteristic, complemented
87#11762723C2211yescharacteristic, complemented
88#11762721C2211yescharacteristic, complemented
89#11762721C2211yescharacteristic, complemented
90#11762721C2211yescharacteristic, complemented
91#11762721C2211yescharacteristic, complemented
92#11762721C2211yescharacteristic, complemented
93#11762713C2211yescharacteristic, complemented
94#11762713C2211yescharacteristic, complemented
95#11762713C2211yescharacteristic, complemented
96#11762713C2211yescharacteristic, complemented
97#11762712C2211yescharacteristic
98#11762712C2211yescharacteristic
99#11762712C2211yescharacteristic, complemented
100#11762712C2211yescharacteristic, complemented
101#11762706C2211yescharacteristic, complemented
102#11762706C2211yescharacteristic, complemented
103#11762704C2211yescharacteristic, complemented
104#11762704C2211yescharacteristic, complemented
105#11762703C2211yescharacteristic, complemented
106#11762703C2211yescharacteristic, complemented
107#11762703C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic, complemented
109#11762703C2211yescharacteristic, complemented
110#11762703C2211yescharacteristic, complemented
111#11762702C2211yescharacteristic, complemented
112#11762702C2211yescharacteristic, complemented
113#11762702C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic, complemented
117#11762695C2211yescharacteristic, complemented
118#11762695C2211yescharacteristic, complemented
119#11762694C2211yescharacteristic, complemented
120#11762694C2211yescharacteristic, complemented
121#11762693C2211yescharacteristic, complemented
122#11762693C2211yescharacteristic, complemented
123#11762690C2211yescharacteristic, complemented
124#11762690C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic
129#11762689C2211yescharacteristic
130#11762689C2211yescharacteristic
131#11762689C2211yescharacteristic
132#11762689C2211yescharacteristic
133#11762689C2211yescharacteristic
134#11762689C2211yescharacteristic
135#11762689C2211yescharacteristic
136#11762689C2211yescharacteristic
137#11762689C2211yescharacteristic, complemented
138#11762689C2211yescharacteristic, complemented
139#11762684C2211yescharacteristic
140#11762684C2211yescharacteristic
141#11762684C2211yescharacteristic, complemented
142#11762684C2211yescharacteristic, complemented
143#11762682C2211yescharacteristic, complemented
144#11762682C2211yescharacteristic, complemented
145#11762681C2211yescharacteristic
146#11762681C2211yescharacteristic
147#11762681C2211yescharacteristic
148#11762681C2211yescharacteristic
149#11762681C2211yescharacteristic, complemented
150#11762681C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic, complemented
152#11762681C2211yescharacteristic, complemented
153#11762677C2211yescharacteristic, complemented
154#11762675C2211yescharacteristic, complemented
155#11762672C2211yescharacteristic, complemented
156#11762670C2211yescharacteristic, complemented
157#11762670C2211yescharacteristic, complemented
158#11762669C2211yescharacteristic, complemented
159#11762667C2211yescharacteristic
160#11762667C2211yescharacteristic
161#11762667C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic, complemented
163#11762665C2211yescharacteristic
164#11762665C2211yescharacteristic
165#11762665C2211yescharacteristic
166#11762665C2211yescharacteristic
167C22⋊C4×Dic17C2211yescharacteristic
168C22⋊C4×Dic17C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C23×D4×C17C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C17×#121C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C2×C17×#120C2211yescharacteristic
177C2×C4×D4×C17C2211yescharacteristic
178C17×#394C2211yescharacteristic
179C17×#394C2211yescharacteristic
180C17×#392C2211yescharacteristic
181C17×#392C2211yescharacteristic
182C17×#390C2211yescharacteristic
183C17×#390C2211yescharacteristic
184C17×#380C2211yescharacteristic
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×D4×C17—24no—
190C22×D4×C17—42no—
191C22×D4×C17—42no—
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×Dic17—42no—
204C23×Dic17—42no—
205C23×Dic17—42no—
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C22×Dic34C2311yescharacteristic
215C22×Dic34C2311yescharacteristic
216C22×Dic34C2311yescharacteristic
217C17×#121—42no—
218C17×#121—42no—
219C17×#120—42no—
220C17×#120—42no—
221C4×D4×C17—24no—
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
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×C42×C17C2311yescharacteristic
242C2×C22⋊Dic17—42no—
243C2×C22⋊Dic17—42no—
244C2×C22⋊Dic17—42no—
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
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285#10587622—42no—
286#10587622—42no—
287#10587622—42no—
288#10587622—42no—
289#10587621—42no—
290#10587621—42no—
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298#10587610—24no—
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×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323#10587565—42no—
324#10587565—42no—
325#10587564—42no—
326#10587564—42no—
327#10587564—42no—
328#10587564—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331#10587502C2311yescharacteristic
332#10587502C2311yescharacteristic
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—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—22no—
375C24×C17—22no—
376C24×C17—22no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17—41no—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C24×C17C2411yescharacteristic
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—416no—
417C22×C4×C17—22no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17#4114yes—
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×Dic17—22no—
433C22×Dic17—22no—
434C22×Dic17—22no—
435C22×Dic17—22no—
436C22×Dic17—22no—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—22no—
441C22×Dic17—41no—
442C22×Dic17—41no—
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—416no—
457C22×Dic17C2411yescharacteristic
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
472C22×Dic17C2411yescharacteristic
473C2×Dic34—22no—
474C2×Dic34—22no—
475C2×Dic34—41no—
476C2×Dic34—41no—
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—
485C22⋊C4×C17—22no—
486C22⋊C4×C17—22no—
487C22⋊C4×C17—22no—
488C22⋊C4×C17—22no—
489C22⋊C4×C17—22no—
490C22⋊C4×C17—22no—
491C22⋊C4×C17—41no—
492C22⋊C4×C17—41no—
493C22⋊C4×C17—41no—
494C22⋊C4×C17—41no—
495C22⋊C4×C17—41no—
496C22⋊C4×C17—41no—
497C22⋊C4×C17—41no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C42×C17—22no—
502C22⋊Dic17—22no—
503C22⋊Dic17—22no—
504C22⋊Dic17—22no—
505C22⋊Dic17—22no—
506C22⋊Dic17—22no—
507C22⋊Dic17—22no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
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—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533C22⋊Dic17—41no—
534C22⋊Dic17—41no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537C22⋊Dic17—41no—
538C22⋊Dic17—41no—
539C22⋊Dic17—41no—
540C22⋊Dic17—41no—
541C22⋊Dic17—41no—
542C4⋊Dic17—22no—
543C4⋊Dic17—41no—
544C4⋊Dic17—41no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549#63225—22no—
550#63225—22no—
551#63225—22no—
552#63225—22no—
553#63225—41no—
554#63225—41no—
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—
566#63225—41no—
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—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—44no—
613C23×C17—44no—
614C23×C17—44no—
615C23×C17—44no—
616C23×C17—44no—
617C23×C17—44no—
618C23×C17—44no—
619C23×C17—44no—
620C23×C17—44no—
621C23×C17—82no—
622C23×C17—82no—
623C23×C17—82no—
624C23×C17—82no—
625C23×C17C2×#4112yes—
626C23×C17H(5,𝔽2)12yes—
627C23×C17H(5,𝔽2)12yes—
628C23×C17H(5,𝔽2)12yes—
629C23×C172−1+412yes—
630C23×C17C2511yescharacteristic
631D4×C17—44no—
632D4×C17—44no—
633D4×C17—44no—
634D4×C17—44no—
635D4×C17—44no—
636D4×C17—82no—
637D4×C17—82no—
638D4×C17—82no—
639D4×C17—82no—
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—44no—
666C2×C4×C17—82no—
667C2×C4×C17C2×#4112yes—
668C2×C4×C17C2×#4112yes—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
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—44no—
717C2×Dic17—44no—
718C2×Dic17—44no—
719C2×Dic17—44no—
720C2×Dic17—44no—
721C2×Dic17—44no—
722C2×Dic17—82no—
723C2×Dic17—82no—
724C2×Dic17H(5,𝔽2)12yes—
725Dic34—82no—
726Dic34—82no—
727Dic34—82no—
728#2849—171no—
729#2848—171no—
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#2408D1711yescharacteristic
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—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17—41no—
801C22×C17—88no—
802C22×C17#54214yes—
803C22×C17C22×#4111yescharacteristic
804C22×C17C2×H(5,𝔽2)11yescharacteristic
805C22×C17C2×H(5,𝔽2)11yescharacteristic
806C22×C17C2×H(5,𝔽2)11yescharacteristic
807C22×C17C2×H(5,𝔽2)11yescharacteristic
808C22×C17C2×2−1+411yescharacteristic
809C22×C17#58511yescharacteristic
810C4×C17—22no—
811C4×C17—22no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819Dic17—22no—
820Dic17—41no—
821Dic17—41no—
822Dic17—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—
835C23×D4C2×D1711yescharacteristic
836C24×C4—171no—
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⋊Q8—171no—
848C2×C22⋊Q8—171no—
849C2×C22⋊Q8—171no—
850C2×#121C2×D1711yescharacteristic
851C2×#121C2×D1711yescharacteristic
852C2×#120C2×D1711yescharacteristic
853C2×#120C2×D1711yescharacteristic
854C2×C4×D4C2×D1711yescharacteristic
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#394C2×D1711yescharacteristic
898#394C2×D1711yescharacteristic
899#393—171no—
900#393—171no—
901#393—171no—
902#393—171no—
903#393—171no—
904#392C2×D1711yescharacteristic
905#392C2×D1711yescharacteristic
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#390C2×D1711yescharacteristic
915#390C2×D1711yescharacteristic
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#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
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#380—171no—
977#380—171no—
978#380C2×D1711yescharacteristic
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×C17—81no—
994C2×C17—81no—
995C2×C17—81no—
996C2×C17C2×#54211yescharacteristic
997C2×C17#349011yescharacteristic
998C2×C17#350611yescharacteristic
999C2×C17#353211yescharacteristic
1000C2×C17#353411yescharacteristic
1001C2×C17#353511yescharacteristic
1002C2×C17#353611yescharacteristic
1003C25C22×D1711yescharacteristic
1004C25C22×D1711yescharacteristic
1005C22×Q8—171no—
1006C22×Q8—171no—
1007C22×Q8—171no—
1008C22×D4—24no—
1009C22×D4—42no—
1010C22×D4—42no—
1011C22×D4C22×D1711yescharacteristic
1012C22×D4C22×D1711yescharacteristic
1013C22×D4C22×D1711yescharacteristic
1014C22×D4C22×D1711yescharacteristic
1015C22×D4C22×D1711yescharacteristic
1016C22×D4C22×D1711yescharacteristic
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—682no—
1029C23×C4—682no—
1030C23×C4—682no—
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—344no—
1042C22⋊Q8—682no—
1043C22⋊Q8—682no—
1044C22⋊Q8—682no—
1045C22⋊Q8—682no—
1046#121—42no—
1047#121—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—24no—
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⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
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—682no—
1120C2×C22⋊C4—682no—
1121C2×C22⋊C4—682no—
1122C2×C22⋊C4C22×D1711yescharacteristic
1123C2×C22⋊C4C22×D1711yescharacteristic
1124C2×C22⋊C4C22×D1711yescharacteristic
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×C42—171no—
1139C2×C42—171no—
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—171no—
1143C2×C42—171no—
1144C2×C42C22×D1711yescharacteristic
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#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95C22×D1711yescharacteristic
1184#95C22×D1711yescharacteristic
1185C17#3679311yescharacteristic, complemented, Sylow
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24C23×D1711yescharacteristic
1201C24C23×D1711yescharacteristic
1202C24C23×D1711yescharacteristic
1203C24C23×D1711yescharacteristic
1204C24C23×D1711yescharacteristic
1205C24C23×D1711yescharacteristic
1206C2×Q8—342no—
1207C2×Q8—342no—
1208C2×Q8—681no—
1209C2×Q8—681no—
1210C2×Q8—681no—
1211C2×Q8—681no—
1212C2×Q8—681no—
1213C2×Q8—681no—
1214C2×Q8—681no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—416no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—171no—
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—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—342no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
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×C4—681no—
1288C22×C4—6816no—
1289C22×C4#6325414yes—
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—342no—
1303C4⋊C4—342no—
1304C4⋊C4—342no—
1305C4⋊C4—342no—
1306C4⋊C4—342no—
1307C4⋊C4—681no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
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—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—342no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
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—22no—
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—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23C2×#6325412yes—
1442C23#1058769112yes—
1443C23#1058769112yes—
1444C23#1058769112yes—
1445C23#1058769712yes—
1446C23C24×D1711yescharacteristic
1447Q8—1362no—
1448Q8—1362no—
1449Q8—1362no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
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—44no—
1485C2×C4—82no—
1486C2×C4—172no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
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—684no—
1535C2×C4—684no—
1536C2×C4—684no—
1537C2×C4—684no—
1538C2×C4—684no—
1539C2×C4—684no—
1540C2×C4—1362no—
1541C2×C4—1362no—
1542C2×C4C2×#6325412yes—
1543C2×C4C2×#6325412yes—
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—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—88no—
1587C22#1176342614yes—
1588C22C22×#6325411yescharacteristic
1589C22H(5,𝔽2)×D1711yescharacteristic
1590C22C2×#1058769111yescharacteristic
1591C22C2×#1058769111yescharacteristic
1592C22C2×#1058769111yescharacteristic
1593C22C2×#1058769711yescharacteristic
1594C22#1176364411yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—342no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C4—681no—
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—81no—
1624C2—81no—
1625C2—81no—
1626C2C2×#1176342611yescharacteristic
1627C2#1454247111yescharacteristic
1628C2#1454263511yescharacteristic
1629C2#1454293411yescharacteristic
1630C2#1454296211yescharacteristic
1631C2#1454298111yescharacteristic
1632C2#1454299911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
Fitting, prime radicalC17×#2408C2
hypercenter#2408D17
hypocenterC17#36793
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2408

Complements

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

NH ≅ G/Ntype
1. #14537074C2semidirect
2. #14537069C2semidirect
3. #14536628C2semidirect
4. #14536165C2semidirect
5. #14536121C2semidirect
6. #14536039C2semidirect
7. #14535837C2semidirect
8. #14535783C2semidirect
9. #14535700C2semidirect
10. #14535588C2semidirect
11. #14535549C2semidirect
12. #14535528C2semidirect
13. #14535464C2semidirect
14. #14535393C2semidirect
15. #14535388C2semidirect
16. #14535261C2semidirect
17. #14535186C2semidirect
18. #14535029C2semidirect
19. #14534593C2semidirect
20. #14534559C2semidirect
21. #14533960C2semidirect
22. #14533796C2semidirect
23. #14533029C2semidirect
24. #14533029C2semidirect
25. #14532909C2semidirect
26. #14532909C2semidirect
27. #14532431C2semidirect
28. #14531514C2semidirect
29. #14531417C2semidirect
30. C2×#11762689C2semidirect
33. C2×#10587565C22semidirect
34. C2×#10587565C22semidirect
37. C2×#10587622C22semidirect
38. C2×#10587622C22semidirect
39. C2×#10587621C22semidirect
40. C2×#10587621C22semidirect
44. C2×#10587564C22semidirect
45. C2×#10587564C22semidirect
49. #11762748C22semidirect
50. #11762745C22semidirect
51. #11762745C22semidirect
52. #11762745C22semidirect
53. #11762742C22semidirect
54. #11762742C22semidirect
55. #11762737C22semidirect
56. #11762737C22semidirect
57. #11762737C22semidirect
58. #11762737C22semidirect
59. #11762737C22semidirect
60. #11762737C22semidirect
61. #11762737C22semidirect
62. #11762737C22semidirect
63. #11762734C22semidirect
64. #11762734C22semidirect
65. #11762734C22semidirect
66. #11762734C22semidirect
67. #11762732C22semidirect
68. #11762732C22semidirect
69. #11762732C22semidirect
70. #11762732C22semidirect
71. #11762732C22semidirect
72. #11762732C22semidirect
73. #11762729C22semidirect
74. #11762729C22semidirect
75. #11762729C22semidirect
80. #11762723C22semidirect
81. #11762723C22semidirect
82. #11762723C22semidirect
83. #11762723C22semidirect
84. #11762723C22semidirect
85. #11762723C22semidirect
86. #11762723C22semidirect
87. #11762723C22semidirect
88. #11762721C22semidirect
89. #11762721C22semidirect
90. #11762721C22semidirect
91. #11762721C22semidirect
92. #11762721C22semidirect
93. #11762713C22semidirect
94. #11762713C22semidirect
95. #11762713C22semidirect
96. #11762713C22semidirect
99. #11762712C22semidirect
100. #11762712C22semidirect
101. #11762706C22semidirect
102. #11762706C22semidirect
103. #11762704C22semidirect
104. #11762704C22semidirect
105. #11762703C22semidirect
106. #11762703C22semidirect
107. #11762703C22semidirect
108. #11762703C22semidirect
109. #11762703C22semidirect
110. #11762703C22semidirect
111. #11762702C22semidirect
112. #11762702C22semidirect
113. #11762702C22semidirect
114. #11762702C22semidirect
115. #11762697C22semidirect
116. #11762697C22semidirect
117. #11762695C22semidirect
118. #11762695C22semidirect
119. #11762694C22semidirect
120. #11762694C22semidirect
121. #11762693C22semidirect
122. #11762693C22semidirect
123. #11762690C22semidirect
124. #11762690C22semidirect
137. #11762689C22semidirect
138. #11762689C22semidirect
141. #11762684C22semidirect
142. #11762684C22semidirect
143. #11762682C22semidirect
144. #11762682C22semidirect
149. #11762681C22semidirect
150. #11762681C22semidirect
151. #11762681C22semidirect
152. #11762681C22semidirect
153. #11762677C22semidirect
154. #11762675C22semidirect
155. #11762672C22semidirect
156. #11762670C22semidirect
157. #11762670C22semidirect
158. #11762669C22semidirect
161. #11762667C22semidirect
162. #11762667C22semidirect
1185. C17#36793semidirect

Maximal subgroups

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

subgroupindex
#145370742
#145370692
#145366282
#145361652
#145361212
#145360392
#145358372
#145357832
#145357002
#145355882
#145355492
#145355282
#145354642
#145353932
#145353882
#145352612
#145351862
#145350292
#145345932
#145345592
#145339602
#145337962
#145330292
#145329092
#145324312
#145315142
#145314172
C2×#117626892
C17×#24082
#3679317