Finite Group Databasebeta

← #17243227

Subgroups — #17243227

Order 4352.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537074C211yesmaximal, characteristic, complemented
2#14537064C211yesmaximal, characteristic, complemented
3#14536635C211yesmaximal, characteristic, complemented
4#14536497C211yesmaximal, characteristic, complemented
5#14536108C211yesmaximal, characteristic, complemented
6#14536063C211yesmaximal, characteristic, complemented
7#14536046C211yesmaximal, characteristic, complemented
8#14536009C211yesmaximal, characteristic, complemented
9#14535882C211yesmaximal, characteristic, complemented
10#14535511C211yesmaximal, characteristic, complemented
11#14535511C211yesmaximal, characteristic, complemented
12#14535479C211yesmaximal, characteristic, complemented
13#14535434C211yesmaximal, characteristic, complemented
14#14535374C211yesmaximal, characteristic, complemented
15#14535219C211yesmaximal, characteristic, complemented
16#14535044C211yesmaximal, characteristic, complemented
17#14535044C211yesmaximal, characteristic, complemented
18#14535022C211yesmaximal, characteristic, complemented
19#14534559C211yesmaximal, characteristic, complemented
20#14534522C211yesmaximal, characteristic, complemented
21#14534003C211yesmaximal, characteristic, complemented
22#14533746C211yesmaximal, characteristic, complemented
23#14532324C211yesmaximal, characteristic, complemented
24#14532324C211yesmaximal, characteristic, complemented
25#14532242C211yesmaximal, characteristic, complemented
26#14532242C211yesmaximal, characteristic, complemented
27#14532134C211yesmaximal, characteristic, complemented
28#14531489C211yesmaximal, characteristic, complemented
29#14531411C211yesmaximal, characteristic, complemented
30C2×#11762689C211yesmaximal, characteristic, complemented
31C17×#2433C211yesmaximal, characteristic, complemented
32C24×Dic17C2211yescharacteristic
33C2×#10587621C2211yescharacteristic, complemented
34C2×#10587621C2211yescharacteristic, complemented
35C2×#10587621C2211yescharacteristic, complemented
36C2×#10587621C2211yescharacteristic, complemented
37C2×#10587625C2211yescharacteristic
38C2×#10587625C2211yescharacteristic
39C2×#10587625C2211yescharacteristic, complemented
40C2×#10587625C2211yescharacteristic, complemented
41C2×#10587625C2211yescharacteristic, complemented
42C2×#10587625C2211yescharacteristic, complemented
43C2×#10587624C2211yescharacteristic
44C2×#10587624C2211yescharacteristic
45C2×#10587639C2211yescharacteristic
46C2×#10587639C2211yescharacteristic
47C2×D4×Dic17C2211yescharacteristic
48C2×D4×Dic17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C22×C22⋊Dic17C2211yescharacteristic
51C22×C22⋊Dic17C2211yescharacteristic
52C22×C22⋊Dic17C2211yescharacteristic
53#11762751C2211yescharacteristic, complemented
54#11762751C2211yescharacteristic, complemented
55#11762745C2211yescharacteristic, complemented
56#11762745C2211yescharacteristic, complemented
57#11762743C2211yescharacteristic, complemented
58#11762743C2211yescharacteristic, complemented
59#11762740C2211yescharacteristic, complemented
60#11762737C2211yescharacteristic, complemented
61#11762737C2211yescharacteristic, complemented
62#11762737C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762735C2211yescharacteristic, complemented
67#11762734C2211yescharacteristic, complemented
68#11762734C2211yescharacteristic, complemented
69#11762732C2211yescharacteristic, complemented
70#11762732C2211yescharacteristic, complemented
71#11762725C2211yescharacteristic, complemented
72#11762725C2211yescharacteristic, complemented
73#11762724C2211yescharacteristic, complemented
74#11762724C2211yescharacteristic, complemented
75#11762723C2211yescharacteristic
76#11762723C2211yescharacteristic
77#11762723C2211yescharacteristic, complemented
78#11762723C2211yescharacteristic, complemented
79#11762723C2211yescharacteristic, complemented
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#11762723C2211yescharacteristic, complemented
89#11762723C2211yescharacteristic, complemented
90#11762717C2211yescharacteristic
91#11762717C2211yescharacteristic
92#11762717C2211yescharacteristic, complemented
93#11762717C2211yescharacteristic, complemented
94#11762717C2211yescharacteristic, complemented
95#11762717C2211yescharacteristic, complemented
96#11762717C2211yescharacteristic, complemented
97#11762712C2211yescharacteristic
98#11762712C2211yescharacteristic
99#11762709C2211yescharacteristic, complemented
100#11762709C2211yescharacteristic, complemented
101#11762703C2211yescharacteristic, complemented
102#11762703C2211yescharacteristic, complemented
103#11762702C2211yescharacteristic, complemented
104#11762702C2211yescharacteristic, complemented
105#11762700C2211yescharacteristic, complemented
106#11762700C2211yescharacteristic, complemented
107#11762697C2211yescharacteristic, complemented
108#11762697C2211yescharacteristic, complemented
109#11762697C2211yescharacteristic, complemented
110#11762697C2211yescharacteristic, complemented
111#11762697C2211yescharacteristic, complemented
112#11762697C2211yescharacteristic, complemented
113#11762695C2211yescharacteristic, complemented
114#11762695C2211yescharacteristic, complemented
115#11762693C2211yescharacteristic, complemented
116#11762693C2211yescharacteristic, complemented
117#11762693C2211yescharacteristic, complemented
118#11762693C2211yescharacteristic, complemented
119#11762693C2211yescharacteristic, complemented
120#11762693C2211yescharacteristic, complemented
121#11762689C2211yescharacteristic
122#11762689C2211yescharacteristic
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic
125#11762689C2211yescharacteristic
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic
129#11762689C2211yescharacteristic
130#11762689C2211yescharacteristic
131#11762689C2211yescharacteristic
132#11762689C2211yescharacteristic
133#11762689C2211yescharacteristic, complemented
134#11762689C2211yescharacteristic, complemented
135#11762689C2211yescharacteristic, complemented
136#11762689C2211yescharacteristic, complemented
137#11762689C2211yescharacteristic, complemented
138#11762689C2211yescharacteristic, complemented
139#11762689C2211yescharacteristic, complemented
140#11762689C2211yescharacteristic, complemented
141#11762689C2211yescharacteristic, complemented
142#11762689C2211yescharacteristic, complemented
143#11762686C2211yescharacteristic
144#11762686C2211yescharacteristic
145#11762686C2211yescharacteristic, complemented
146#11762686C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic, complemented
149#11762684C2211yescharacteristic, complemented
150#11762684C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic
152#11762681C2211yescharacteristic
153#11762681C2211yescharacteristic
154#11762681C2211yescharacteristic
155#11762681C2211yescharacteristic, complemented
156#11762681C2211yescharacteristic, complemented
157#11762676C2211yescharacteristic, complemented
158#11762673C2211yescharacteristic, complemented
159#11762671C2211yescharacteristic, complemented
160#11762670C2211yescharacteristic, complemented
161#11762670C2211yescharacteristic, complemented
162#11762669C2211yescharacteristic
163#11762668C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic
165#11762667C2211yescharacteristic
166#11762667C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762665C2211yescharacteristic
169#11762665C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C23×D4×C17C2211yescharacteristic
173C2×C17×#127C2211yescharacteristic
174C2×C17×#127C2211yescharacteristic
175C2×C17×#121C2211yescharacteristic
176C2×C17×#120C2211yescharacteristic
177C2×C17×#120C2211yescharacteristic
178C2×C17×#120C2211yescharacteristic
179C2×C17×#120C2211yescharacteristic
180C17×#392C2211yescharacteristic
181C17×#392C2211yescharacteristic
182C17×#392C2211yescharacteristic
183C17×#392C2211yescharacteristic
184C17×#390C2211yescharacteristic
185C17×#390C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
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
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C23×Dic17—42no—
216C23×Dic17—42no—
217C23×Dic17—42no—
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic
221C23×Dic17C2311yescharacteristic
222C23×Dic17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic
224C23×Dic17C2311yescharacteristic
225C23×Dic17C2311yescharacteristic
226C23×Dic17C2311yescharacteristic
227C23×Dic17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C17×#127—42no—
230C17×#127—42no—
231C17×#121—24no—
232C17×#120—42no—
233C17×#120—42no—
234C17×#120—42no—
235C17×#120—42no—
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C42×C17C2311yescharacteristic
251#10587639—42no—
252#10587639—42no—
253C2×C22⋊Dic17—42no—
254C2×C22⋊Dic17—42no—
255C2×C22⋊Dic17—42no—
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
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291C2×C22⋊Dic17C2311yescharacteristic
292C2×C22⋊Dic17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic
295#10587625—42no—
296#10587625—42no—
297#10587625—42no—
298#10587625—42no—
299#10587625—42no—
300#10587625—42no—
301#10587624—42no—
302#10587624—42no—
303#10587621—42no—
304#10587621—42no—
305#10587621—42no—
306#10587621—42no—
307D4×Dic17—42no—
308D4×Dic17—42no—
309C4×C22⋊D17—24no—
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319C2×C4⋊Dic17C2311yescharacteristic
320C2×C4⋊Dic17C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×C4×Dic17C2311yescharacteristic
337C2×C4×Dic17C2311yescharacteristic
338C2×C4×Dic17C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
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
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375C24×C17—22no—
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—22no—
379C24×C17—22no—
380C24×C17—22no—
381C24×C17—22no—
382C24×C17—22no—
383C24×C17—41no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17—41no—
389C24×C17C2411yescharacteristic
390C24×C17C2411yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C24×C17C2411yescharacteristic
395C24×C17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17—41no—
423C2×D4×C17—41no—
424C2×D4×C17—41no—
425C2×D4×C17—41no—
426C2×D4×C17—41no—
427C2×D4×C17—41no—
428C2×D4×C17—41no—
429C2×D4×C17—41no—
430C2×D4×C17—41no—
431C2×D4×C17—41no—
432C2×D4×C17—41no—
433C2×D4×C17—41no—
434C2×D4×C17—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17—41no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—416no—
443C22×C4×C17—41no—
444C22×C4×C17—41no—
445C22×C4×C17#4114yes—
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C2×C22⋊D17—22no—
455C2×C22⋊D17—22no—
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17—41no—
466C2×C22⋊D17—41no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—41no—
475C22×Dic17—22no—
476C22×Dic17—22no—
477C22×Dic17—22no—
478C22×Dic17—22no—
479C22×Dic17—22no—
480C22×Dic17—22no—
481C22×Dic17—22no—
482C22×Dic17—22no—
483C22×Dic17—22no—
484C22×Dic17—41no—
485C22×Dic17—41no—
486C22×Dic17—41no—
487C22×Dic17—41no—
488C22×Dic17—41no—
489C22×Dic17—41no—
490C22×Dic17—41no—
491C22×Dic17—41no—
492C22×Dic17—41no—
493C22×Dic17—41no—
494C22×Dic17—41no—
495C22×Dic17—41no—
496C22×Dic17—41no—
497C22×Dic17—41no—
498C22×Dic17—41no—
499C22×Dic17—41no—
500C22×Dic17—41no—
501C22×Dic17—41no—
502C22×Dic17—41no—
503C22×Dic17—41no—
504C22×Dic17—41no—
505C22×Dic17—416no—
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C22×Dic17C2411yescharacteristic
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C22×Dic17C2411yescharacteristic
518C22×Dic17C2411yescharacteristic
519C22×Dic17C2411yescharacteristic
520C22×Dic17C2411yescharacteristic
521C2×C4×D17—22no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C4⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—41no—
530C22⋊C4×C17—41no—
531C22⋊C4×C17—41no—
532C22⋊C4×C17—41no—
533C22⋊C4×C17—41no—
534C22⋊C4×C17—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C42×C17—41no—
538C42×C17—41no—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566C22⋊Dic17—41no—
567C22⋊Dic17—41no—
568C22⋊Dic17—41no—
569C22⋊Dic17—41no—
570C22⋊Dic17—41no—
571C22⋊Dic17—41no—
572C22⋊Dic17—41no—
573C22⋊Dic17—41no—
574C22⋊Dic17—41no—
575C22⋊Dic17—41no—
576C22⋊Dic17—41no—
577C22⋊Dic17—41no—
578#63227—22no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585C4⋊Dic17—41no—
586C4⋊Dic17—41no—
587C4⋊Dic17—41no—
588C4⋊Dic17—41no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—41no—
593#63225—41no—
594#63225—41no—
595#63225—41no—
596#63225—41no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603#63225—41no—
604C4×Dic17—22no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607#36794—171nomaximal, Sylow
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—28no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17—21no—
644C23×C17—21no—
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—44no—
654C23×C17—44no—
655C23×C17—44no—
656C23×C17—44no—
657C23×C17—44no—
658C23×C17—44no—
659C23×C17—44no—
660C23×C17—44no—
661C23×C17—44no—
662C23×C17—82no—
663C23×C17—82no—
664C23×C17—82no—
665C23×C17—82no—
666C23×C17C2×#4112yes—
667C23×C17H(5,𝔽2)12yes—
668C23×C17H(5,𝔽2)12yes—
669C23×C17H(5,𝔽2)12yes—
670C23×C17H(5,𝔽2)12yes—
671C23×C17C2511yescharacteristic
672C22×D17—21no—
673C22×D17—21no—
674C22×D17—21no—
675C22×D17—21no—
676C22×D17—21no—
677C22×D17—21no—
678C22×D17—21no—
679D4×C17—44no—
680D4×C17—44no—
681D4×C17—44no—
682D4×C17—44no—
683D4×C17—44no—
684D4×C17—44no—
685D4×C17—82no—
686D4×C17—82no—
687D4×C17—82no—
688D4×C17—82no—
689D4×C17—82no—
690D4×C17—82no—
691D4×C17—82no—
692D4×C17—82no—
693D4×C17—82no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—44no—
717C2×C4×C17C2×#4112yes—
718C2×C4×C17C2×#4112yes—
719C22⋊D17—44no—
720C22⋊D17—82no—
721C22⋊D17—82no—
722C22⋊D17—82no—
723C22⋊D17—82no—
724C22⋊D17—82no—
725C22⋊D17—82no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—44no—
771C2×Dic17—44no—
772C2×Dic17—44no—
773C2×Dic17—44no—
774C2×Dic17—44no—
775C2×Dic17—44no—
776C2×Dic17—82no—
777C2×Dic17—82no—
778C2×Dic17—82no—
779C2×Dic17—82no—
780C2×Dic17H(5,𝔽2)12yes—
781C4×D17—82no—
782#2849—171no—
783#2847—171no—
784#2797—171no—
785#2786—171no—
786#2756—171no—
787#2753—171no—
788#2752—171no—
789#2749—171no—
790#2740—171no—
791#2709—171no—
792#2709—171no—
793#2706—171no—
794#2703—171no—
795#2699—171no—
796#2688—171no—
797#2673—171no—
798#2673—171no—
799#2671—171no—
800#2622—171no—
801#2617—171no—
802#2569—171no—
803#2543—171no—
804#2433D1711yescharacteristic, complemented
805#2424—171no—
806#2424—171no—
807#2418—171no—
808#2418—171no—
809#2408—171no—
810#2325—171no—
811#2318—171no—
812C2×#386—171no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—416no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—88no—
863C22×C17#54014yes—
864C22×C17C22×#4111yescharacteristic
865C22×C17C2×H(5,𝔽2)11yescharacteristic
866C22×C17C2×H(5,𝔽2)11yescharacteristic
867C22×C17C2×H(5,𝔽2)11yescharacteristic
868C22×C17C2×H(5,𝔽2)11yescharacteristic
869C22×C17C2×H(5,𝔽2)11yescharacteristic
870C22×C17#58511yescharacteristic
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—41no—
877C2×D17—41no—
878C4×C17—22no—
879C4×C17—22no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886Dic17—22no—
887Dic17—41no—
888Dic17—41no—
889Dic17—41no—
890Dic17—41no—
891Dic17—41no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901C23×D4C2×D1711yescharacteristic
902C24×C4—171no—
903C2×#127C2×D1711yescharacteristic
904C2×#127C2×D1711yescharacteristic
905C2×#123—171no—
906C2×#123—171no—
907C2×#123—171no—
908C2×#123—171no—
909C2×#121—171no—
910C2×#121—171no—
911C2×#121—171no—
912C2×#121—171no—
913C2×#121—171no—
914C2×#121—171no—
915C2×#121—171no—
916C2×#121—171no—
917C2×#121C2×D1711yescharacteristic
918C2×#120—171no—
919C2×#120—171no—
920C2×#120C2×D1711yescharacteristic
921C2×#120C2×D1711yescharacteristic
922C2×#120C2×D1711yescharacteristic
923C2×#120C2×D1711yescharacteristic
924C2×C4×D4—171no—
925C2×C4×D4—171no—
926C2×C4×D4—171no—
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930#400—171no—
931#400—171no—
932#399—171no—
933#399—171no—
934#398—171no—
935#398—171no—
936#398—171no—
937#397—171no—
938#397—171no—
939#397—171no—
940#397—171no—
941#397—171no—
942#397—171no—
943#397—171no—
944#397—171no—
945#397—171no—
946#396—171no—
947#396—171no—
948#394—171no—
949#394—171no—
950#394—171no—
951#394—171no—
952#394—171no—
953#394—171no—
954#394—171no—
955#394—171no—
956#394—171no—
957#394—171no—
958#394—171no—
959#394—171no—
960#394—171no—
961#394—171no—
962#394—171no—
963#394—171no—
964#394—171no—
965#394—171no—
966#394—171no—
967#392—171no—
968#392—171no—
969#392—171no—
970#392—171no—
971#392—171no—
972#392—171no—
973#392—171no—
974#392C2×D1711yescharacteristic
975#392C2×D1711yescharacteristic
976#392C2×D1711yescharacteristic
977#392C2×D1711yescharacteristic
978#390—171no—
979#390—171no—
980#390—171no—
981#390—171no—
982#390C2×D1711yescharacteristic
983#390C2×D1711yescharacteristic
984#388—171no—
985#388—171no—
986#388—171no—
987#388—171no—
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388—171no—
995#388—171no—
996#387—171no—
997#387—171no—
998#387—171no—
999#387—171no—
1000#387—171no—
1001#387—171no—
1002#387—171no—
1003#387—171no—
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
1023#386—171no—
1024#386—171no—
1025#386—171no—
1026#386—171no—
1027#386—171no—
1028#386—171no—
1029#386—171no—
1030#386—171no—
1031#386—171no—
1032#385—171no—
1033#385—171no—
1034#385—171no—
1035#385—171no—
1036#385—171no—
1037#385—171no—
1038#385—171no—
1039#385—171no—
1040#383—171no—
1041#382—171no—
1042#381—171no—
1043#381—171no—
1044#381—171no—
1045#380—171no—
1046#380—171no—
1047#380—171no—
1048#380—171no—
1049#380—171no—
1050#380—171no—
1051#379—171no—
1052#379—171no—
1053C4×C22⋊C4C2×D1711yescharacteristic
1054C2×#95—171no—
1055C2×#95—171no—
1056C2×C17—24no—
1057C2×C17—42no—
1058C2×C17—42no—
1059C2×C17—81no—
1060C2×C17—81no—
1061C2×C17—81no—
1062C2×C17—81no—
1063C2×C17C2×#54011yescharacteristic
1064C2×C17#349011yescharacteristic
1065C2×C17#350611yescharacteristic
1066C2×C17#353211yescharacteristic
1067C2×C17#353411yescharacteristic
1068C2×C17#353411yescharacteristic
1069C2×C17#353711yescharacteristic
1070D17—81no—
1071C25C22×D1711yescharacteristic
1072C25C22×D1711yescharacteristic
1073C22×D4—24no—
1074C22×D4—42no—
1075C22×D4—42no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4C22×D1711yescharacteristic
1084C22×D4C22×D1711yescharacteristic
1085C22×D4C22×D1711yescharacteristic
1086C22×D4C22×D1711yescharacteristic
1087C22×D4C22×D1711yescharacteristic
1088C22×D4C22×D1711yescharacteristic
1089C22×D4C22×D1711yescharacteristic
1090C22×D4C22×D1711yescharacteristic
1091C22×D4C22×D1711yescharacteristic
1092C22×D4C22×D1711yescharacteristic
1093C22×D4C22×D1711yescharacteristic
1094C22×D4C22×D1711yescharacteristic
1095C22×D4C22×D1711yescharacteristic
1096C22×D4C22×D1711yescharacteristic
1097C22×D4C22×D1711yescharacteristic
1098C23×C4—171no—
1099C23×C4—171no—
1100C23×C4—171no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—171no—
1104C23×C4—171no—
1105C23×C4—171no—
1106C23×C4—171no—
1107C23×C4—171no—
1108C23×C4—171no—
1109C23×C4—682no—
1110C23×C4—682no—
1111C23×C4—682no—
1112C23×C4C22×D1711yescharacteristic
1113#127—42no—
1114#127—42no—
1115#123—682no—
1116#123—682no—
1117#123—682no—
1118#123—682no—
1119#121—24no—
1120#121—682no—
1121#121—682no—
1122#121—682no—
1123#121—682no—
1124#121—682no—
1125#121—682no—
1126#121—682no—
1127#121—682no—
1128#120—42no—
1129#120—42no—
1130#120—42no—
1131#120—42no—
1132#120—682no—
1133#120—682no—
1134C4×D4—344no—
1135C4×D4—682no—
1136C4×D4—682no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—171no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4—171no—
1154C2×C4⋊C4—171no—
1155C2×C4⋊C4—171no—
1156C2×C4⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—682no—
1204C2×C22⋊C4—682no—
1205C2×C22⋊C4—682no—
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C22⋊C4C22×D1711yescharacteristic
1208C2×C22⋊C4C22×D1711yescharacteristic
1209C2×C22⋊C4C22×D1711yescharacteristic
1210C2×C22⋊C4C22×D1711yescharacteristic
1211C2×C22⋊C4C22×D1711yescharacteristic
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C22⋊C4C22×D1711yescharacteristic
1216C2×C22⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4C22×D1711yescharacteristic
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42—171no—
1221C2×C42C22×D1711yescharacteristic
1222C2×C42C22×D1711yescharacteristic
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95—171no—
1256#95—171no—
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259C17#3679411yescharacteristic, complemented, Sylow
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—171no—
1275C24C23×D1711yescharacteristic
1276C24C23×D1711yescharacteristic
1277C24C23×D1711yescharacteristic
1278C24C23×D1711yescharacteristic
1279C24C23×D1711yescharacteristic
1280C24C23×D1711yescharacteristic
1281C24C23×D1711yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—416no—
1328C2×D4—342no—
1329C2×D4—342no—
1330C2×D4—342no—
1331C2×D4—342no—
1332C2×D4—342no—
1333C2×D4—342no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—681no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—171no—
1352C22×C4—171no—
1353C22×C4—171no—
1354C22×C4—171no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—171no—
1358C22×C4—171no—
1359C22×C4—171no—
1360C22×C4—171no—
1361C22×C4—171no—
1362C22×C4—171no—
1363C22×C4—171no—
1364C22×C4—171no—
1365C22×C4—171no—
1366C22×C4—342no—
1367C22×C4—342no—
1368C22×C4—342no—
1369C22×C4—342no—
1370C22×C4—342no—
1371C22×C4—342no—
1372C22×C4—342no—
1373C22×C4—342no—
1374C22×C4—342no—
1375C22×C4—342no—
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—
1389C22×C4—681no—
1390C22×C4—681no—
1391C22×C4—681no—
1392C22×C4—681no—
1393C22×C4—681no—
1394C22×C4—681no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4—681no—
1398C22×C4—681no—
1399C22×C4—6816no—
1400C22×C4#6325414yes—
1401C22×C4C23×D1711yescharacteristic
1402C22×C4C23×D1711yescharacteristic
1403C22×C4C23×D1711yescharacteristic
1404C22×C4C23×D1711yescharacteristic
1405C22×C4C23×D1711yescharacteristic
1406C22×C4C23×D1711yescharacteristic
1407C22×C4C23×D1711yescharacteristic
1408C22×C4C23×D1711yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—342no—
1411C4⋊C4—342no—
1412C4⋊C4—342no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C4⋊C4—681no—
1420C4⋊C4—681no—
1421C4⋊C4—681no—
1422C4⋊C4—681no—
1423C4⋊C4—681no—
1424C4⋊C4—681no—
1425C4⋊C4—681no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
1451C22⋊C4—342no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C22⋊C4—681no—
1468C22⋊C4—681no—
1469C22⋊C4—681no—
1470C22⋊C4—681no—
1471C22⋊C4—681no—
1472C22⋊C4—681no—
1473C22⋊C4—681no—
1474C22⋊C4—681no—
1475C22⋊C4—681no—
1476C22⋊C4—681no—
1477C22⋊C4—681no—
1478C22⋊C4—681no—
1479C22⋊C4—681no—
1480C22⋊C4—681no—
1481C22⋊C4—681no—
1482C22⋊C4—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C42—41no—
1488C42—41no—
1489C42—342no—
1490C42—681no—
1491C42—681no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—341no—
1551C23—341no—
1552C23—341no—
1553C23—341no—
1554C23—341no—
1555C23—341no—
1556C23—341no—
1557C23C2×#6325412yes—
1558C23#1058769112yes—
1559C23#1058769112yes—
1560C23#1058769112yes—
1561C23#1058769112yes—
1562C23C24×D1711yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—82no—
1578D4—684no—
1579D4—1362no—
1580D4—1362no—
1581D4—1362no—
1582D4—1362no—
1583D4—1362no—
1584D4—1362no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—44no—
1608C2×C4—172no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—341no—
1614C2×C4—341no—
1615C2×C4—341no—
1616C2×C4—341no—
1617C2×C4—341no—
1618C2×C4—341no—
1619C2×C4—341no—
1620C2×C4—341no—
1621C2×C4—341no—
1622C2×C4—341no—
1623C2×C4—341no—
1624C2×C4—341no—
1625C2×C4—341no—
1626C2×C4—341no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—341no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—684no—
1654C2×C4—684no—
1655C2×C4—684no—
1656C2×C4—684no—
1657C2×C4—684no—
1658C2×C4—684no—
1659C2×C4—1362no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4—1362no—
1663C2×C4—1362no—
1664C2×C4C2×#6325412yes—
1665C2×C4C2×#6325412yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—88no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—681no—
1723C22#1176341314yes—
1724C22C22×#6325411yescharacteristic
1725C22H(5,𝔽2)×D1711yescharacteristic
1726C22C2×#1058769111yescharacteristic
1727C22C2×#1058769111yescharacteristic
1728C22C2×#1058769111yescharacteristic
1729C22C2×#1058769111yescharacteristic
1730C22#1176364411yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—342no—
1740C4—681no—
1741C4—681no—
1742C4—681no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C4—681no—
1750C4—681no—
1751C4—681no—
1752C4—681no—
1753C4—681no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—1361no—
1762C2C2×#1176341311yescharacteristic
1763C2#1454247111yescharacteristic
1764C2#1454263511yescharacteristic
1765C2#1454293411yescharacteristic
1766C2#1454296211yescharacteristic
1767C2#1454296211yescharacteristic
1768C2#1454301411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2433C2
hypercenter#2433D17
hypocenterC17#36794
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2433

Complements

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

NH ≅ G/Ntype
1. #14537074C2semidirect
2. #14537064C2semidirect
3. #14536635C2semidirect
4. #14536497C2semidirect
5. #14536108C2semidirect
6. #14536063C2semidirect
7. #14536046C2semidirect
8. #14536009C2semidirect
9. #14535882C2semidirect
10. #14535511C2semidirect
11. #14535511C2semidirect
12. #14535479C2semidirect
13. #14535434C2semidirect
14. #14535374C2semidirect
15. #14535219C2semidirect
16. #14535044C2semidirect
17. #14535044C2semidirect
18. #14535022C2semidirect
19. #14534559C2semidirect
20. #14534522C2semidirect
21. #14534003C2semidirect
22. #14533746C2semidirect
23. #14532324C2semidirect
24. #14532324C2semidirect
25. #14532242C2semidirect
26. #14532242C2semidirect
27. #14532134C2semidirect
28. #14531489C2semidirect
29. #14531411C2semidirect
30. C2×#11762689C2semidirect
31. C17×#2433C2semidirect
33. C2×#10587621C22semidirect
34. C2×#10587621C22semidirect
35. C2×#10587621C22semidirect
36. C2×#10587621C22semidirect
39. C2×#10587625C22semidirect
40. C2×#10587625C22semidirect
41. C2×#10587625C22semidirect
42. C2×#10587625C22semidirect
53. #11762751C22semidirect
54. #11762751C22semidirect
55. #11762745C22semidirect
56. #11762745C22semidirect
57. #11762743C22semidirect
58. #11762743C22semidirect
59. #11762740C22semidirect
60. #11762737C22semidirect
61. #11762737C22semidirect
62. #11762737C22semidirect
63. #11762737C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762735C22semidirect
67. #11762734C22semidirect
68. #11762734C22semidirect
69. #11762732C22semidirect
70. #11762732C22semidirect
71. #11762725C22semidirect
72. #11762725C22semidirect
73. #11762724C22semidirect
74. #11762724C22semidirect
77. #11762723C22semidirect
78. #11762723C22semidirect
79. #11762723C22semidirect
80. #11762723C22semidirect
81. #11762723C22semidirect
82. #11762723C22semidirect
83. #11762723C22semidirect
84. #11762723C22semidirect
85. #11762723C22semidirect
86. #11762723C22semidirect
87. #11762723C22semidirect
88. #11762723C22semidirect
89. #11762723C22semidirect
92. #11762717C22semidirect
93. #11762717C22semidirect
94. #11762717C22semidirect
95. #11762717C22semidirect
96. #11762717C22semidirect
99. #11762709C22semidirect
100. #11762709C22semidirect
101. #11762703C22semidirect
102. #11762703C22semidirect
103. #11762702C22semidirect
104. #11762702C22semidirect
105. #11762700C22semidirect
106. #11762700C22semidirect
107. #11762697C22semidirect
108. #11762697C22semidirect
109. #11762697C22semidirect
110. #11762697C22semidirect
111. #11762697C22semidirect
112. #11762697C22semidirect
113. #11762695C22semidirect
114. #11762695C22semidirect
115. #11762693C22semidirect
116. #11762693C22semidirect
117. #11762693C22semidirect
118. #11762693C22semidirect
119. #11762693C22semidirect
120. #11762693C22semidirect
133. #11762689C22semidirect
134. #11762689C22semidirect
135. #11762689C22semidirect
136. #11762689C22semidirect
137. #11762689C22semidirect
138. #11762689C22semidirect
139. #11762689C22semidirect
140. #11762689C22semidirect
141. #11762689C22semidirect
142. #11762689C22semidirect
145. #11762686C22semidirect
146. #11762686C22semidirect
147. #11762685C22semidirect
148. #11762685C22semidirect
149. #11762684C22semidirect
150. #11762684C22semidirect
155. #11762681C22semidirect
156. #11762681C22semidirect
157. #11762676C22semidirect
158. #11762673C22semidirect
159. #11762671C22semidirect
160. #11762670C22semidirect
161. #11762670C22semidirect
163. #11762668C22semidirect
166. #11762667C22semidirect
167. #11762667C22semidirect
804. #2433D17semidirect
1259. C17#36794semidirect

Maximal subgroups

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

subgroupindex
#145370742
#145370642
#145366352
#145364972
#145361082
#145360632
#145360462
#145360092
#145358822
#145355112
#145354792
#145354342
#145353742
#145352192
#145350442
#145350222
#145345592
#145345222
#145340032
#145337462
#145323242
#145322422
#145321342
#145314892
#145314112
C2×#117626892
C17×#24332
#3679417