Finite Group Databasebeta

← #17243217

Subgroups — #17243217

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#14537076C211yesmaximal, characteristic, complemented
2#14537066C211yesmaximal, characteristic, complemented
3#14536641C211yesmaximal, characteristic, complemented
4#14536500C211yesmaximal, characteristic, complemented
5#14536100C211yesmaximal, characteristic, complemented
6#14536055C211yesmaximal, characteristic, complemented
7#14536051C211yesmaximal, characteristic, complemented
8#14536011C211yesmaximal, characteristic, complemented
9#14535888C211yesmaximal, characteristic, complemented
10#14535515C211yesmaximal, characteristic, complemented
11#14535512C211yesmaximal, characteristic, complemented
12#14535476C211yesmaximal, characteristic, complemented
13#14535430C211yesmaximal, characteristic, complemented
14#14535373C211yesmaximal, characteristic, complemented
15#14535215C211yesmaximal, characteristic, complemented
16#14535054C211yesmaximal, characteristic, complemented
17#14535047C211yesmaximal, characteristic, complemented
18#14535021C211yesmaximal, characteristic, complemented
19#14534557C211yesmaximal, characteristic, complemented
20#14534518C211yesmaximal, characteristic, complemented
21#14534008C211yesmaximal, characteristic, complemented
22#14533744C211yesmaximal, characteristic, complemented
23#14532417C211yesmaximal, characteristic, complemented
24#14532320C211yesmaximal, characteristic, complemented
25#14532320C211yesmaximal, characteristic, complemented
26#14532246C211yesmaximal, characteristic, complemented
27#14532246C211yesmaximal, characteristic, complemented
28#14532134C211yesmaximal, characteristic, complemented
29#14531487C211yesmaximal, characteristic, complemented
30#14531418C211yesmaximal, characteristic, complemented
31C2×C17×#386C211yesmaximal, characteristic, complemented
32C2×#10587626C2211yescharacteristic
33C2×#10587626C2211yescharacteristic
34C2×#10587615C2211yescharacteristic, complemented
35C2×#10587615C2211yescharacteristic, complemented
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587569C2211yescharacteristic, complemented
38C2×#10587616C2211yescharacteristic
39C2×#10587616C2211yescharacteristic
40C2×#10587616C2211yescharacteristic
41C2×#10587616C2211yescharacteristic, complemented
42C2×#10587616C2211yescharacteristic, complemented
43C2×#10587570C2211yescharacteristic, complemented
44C2×#10587570C2211yescharacteristic, complemented
45C2×#10587624C2211yescharacteristic
46C2×#10587624C2211yescharacteristic
47C2×#10587639C2211yescharacteristic
48C2×#10587639C2211yescharacteristic
49C2×#10587639C2211yescharacteristic
50C2×#10587639C2211yescharacteristic
51C2×#10587639C2211yescharacteristic
52C2×#10587639C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic
54C2×C4×C22⋊D17C2211yescharacteristic
55C2×C4×C22⋊D17C2211yescharacteristic
56#11762751C2211yescharacteristic, complemented
57#11762751C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic, complemented
59#11762745C2211yescharacteristic, complemented
60#11762741C2211yescharacteristic, complemented
61#11762741C2211yescharacteristic, complemented
62#11762741C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762736C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762727C2211yescharacteristic, complemented
75#11762725C2211yescharacteristic, complemented
76#11762725C2211yescharacteristic, complemented
77#11762725C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic, complemented
79#11762725C2211yescharacteristic, complemented
80#11762725C2211yescharacteristic, complemented
81#11762724C2211yescharacteristic, complemented
82#11762724C2211yescharacteristic, complemented
83#11762724C2211yescharacteristic, complemented
84#11762724C2211yescharacteristic, complemented
85#11762724C2211yescharacteristic, complemented
86#11762724C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic
92#11762723C2211yescharacteristic
93#11762719C2211yescharacteristic, complemented
94#11762718C2211yescharacteristic, complemented
95#11762718C2211yescharacteristic, complemented
96#11762718C2211yescharacteristic, complemented
97#11762718C2211yescharacteristic, complemented
98#11762717C2211yescharacteristic
99#11762717C2211yescharacteristic
100#11762717C2211yescharacteristic
101#11762717C2211yescharacteristic
102#11762717C2211yescharacteristic
103#11762717C2211yescharacteristic
104#11762712C2211yescharacteristic
105#11762712C2211yescharacteristic
106#11762712C2211yescharacteristic
107#11762712C2211yescharacteristic
108#11762709C2211yescharacteristic, complemented
109#11762709C2211yescharacteristic, complemented
110#11762703C2211yescharacteristic, complemented
111#11762703C2211yescharacteristic, complemented
112#11762702C2211yescharacteristic, complemented
113#11762702C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic, complemented
116#11762701C2211yescharacteristic, complemented
117#11762701C2211yescharacteristic, complemented
118#11762701C2211yescharacteristic, complemented
119#11762701C2211yescharacteristic, complemented
120#11762698C2211yescharacteristic, complemented
121#11762698C2211yescharacteristic, complemented
122#11762696C2211yescharacteristic, complemented
123#11762696C2211yescharacteristic, complemented
124#11762694C2211yescharacteristic, complemented
125#11762694C2211yescharacteristic, complemented
126#11762692C2211yescharacteristic, complemented
127#11762692C2211yescharacteristic, complemented
128#11762691C2211yescharacteristic, complemented
129#11762691C2211yescharacteristic, complemented
130#11762688C2211yescharacteristic
131#11762688C2211yescharacteristic
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic
134#11762688C2211yescharacteristic
135#11762688C2211yescharacteristic
136#11762688C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic, complemented
138#11762688C2211yescharacteristic, complemented
139#11762688C2211yescharacteristic, complemented
140#11762688C2211yescharacteristic, complemented
141#11762688C2211yescharacteristic, complemented
142#11762687C2211yescharacteristic, complemented
143#11762687C2211yescharacteristic, complemented
144#11762687C2211yescharacteristic, complemented
145#11762687C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic, complemented
149#11762685C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762683C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic
153#11762682C2211yescharacteristic
154#11762682C2211yescharacteristic
155#11762682C2211yescharacteristic
156#11762682C2211yescharacteristic, complemented
157#11762682C2211yescharacteristic, complemented
158#11762676C2211yescharacteristic, complemented
159#11762673C2211yescharacteristic, complemented
160#11762672C2211yescharacteristic, complemented
161#11762672C2211yescharacteristic, complemented
162#11762671C2211yescharacteristic, complemented
163#11762669C2211yescharacteristic
164#11762669C2211yescharacteristic
165#11762669C2211yescharacteristic
166#11762669C2211yescharacteristic, complemented
167#11762669C2211yescharacteristic, complemented
168#11762668C2211yescharacteristic, complemented
169#11762665C2211yescharacteristic
170#11762665C2211yescharacteristic
171C4×C22⋊Dic17C2211yescharacteristic
172C23×D4×C17C2211yescharacteristic
173C24×C4×C17C2211yescharacteristic
174C22×C22⋊C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C22×C22⋊C4×C17C2211yescharacteristic
177C17×#386C2211yescharacteristic
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic
186C2×C17×#95C2211yescharacteristic
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
196C23×C4×C17—42no—
197C23×C4×C17—42no—
198C23×C4×C17—42no—
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×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
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C22×C22⋊D17C2311yescharacteristic
223C22×D68C2311yescharacteristic
224C22×D68C2311yescharacteristic
225C22×D68C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C2×C22⋊C4×C17—42no—
230C2×C22⋊C4×C17—42no—
231C2×C22⋊C4×C17—42no—
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244#10587639—42no—
245#10587639—42no—
246#10587639—42no—
247#10587639—42no—
248#10587639—42no—
249#10587639—42no—
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
275#10587626—42no—
276#10587626—42no—
277#10587624—42no—
278#10587624—42no—
279#10587616—24no—
280#10587616—42no—
281#10587616—42no—
282#10587616—42no—
283#10587616—42no—
284#10587615—42no—
285#10587615—42no—
286C4×C22⋊D17—24no—
287C4×C22⋊D17—42no—
288C4×C22⋊D17—42no—
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335#10587570—42no—
336#10587570—42no—
337#10587569—42no—
338#10587569—42no—
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375C24×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
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
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—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—416no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—416no—
437C22×C4×C17#4114yes—
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
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—22no—
461C2×C22⋊D17—22no—
462C2×C22⋊D17—22no—
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—
475C2×C22⋊D17—41no—
476C2×C22⋊D17—41no—
477C2×C22⋊D17—41no—
478C2×C22⋊D17—41no—
479C2×C22⋊D17—41no—
480C2×C22⋊D17—41no—
481C2×C22⋊D17—41no—
482C2×C22⋊D17—41no—
483C2×C22⋊D17—41no—
484C2×C22⋊D17—41no—
485C2×C22⋊D17—41no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C2×C22⋊D17—41no—
491C2×C22⋊D17—41no—
492C2×C22⋊D17—41no—
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C22×Dic17C2411yescharacteristic
499C22×Dic17C2411yescharacteristic
500C22×Dic17C2411yescharacteristic
501C22×Dic17C2411yescharacteristic
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C22×Dic17C2411yescharacteristic
505C22×Dic17C2411yescharacteristic
506C2×D68—22no—
507C2×D68—22no—
508C2×D68—41no—
509C2×D68—41no—
510C2×D68—41no—
511C2×D68—41no—
512C2×D68—41no—
513C2×D68—41no—
514C2×D68—41no—
515C2×C4×D17—22no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—41no—
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⋊Dic17—22no—
537C22⋊Dic17—22no—
538C22⋊Dic17—22no—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—41no—
544C22⋊Dic17—41no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
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—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—41no—
566#63227—41no—
567#63227—41no—
568#63227—41no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582C4⋊Dic17—22no—
583C4⋊Dic17—22no—
584C4⋊Dic17—41no—
585C4⋊Dic17—41no—
586C4⋊Dic17—41no—
587C4⋊Dic17—41no—
588C4⋊Dic17—41no—
589C4⋊Dic17—41no—
590C4⋊Dic17—41no—
591#63225—22no—
592#63225—22no—
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—
602C4×Dic17—22no—
603C4×Dic17—41no—
604C4×Dic17—41no—
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—44no—
640C23×C17—44no—
641C23×C17—44no—
642C23×C17—44no—
643C23×C17—44no—
644C23×C17—44no—
645C23×C17—44no—
646C23×C17—44no—
647C23×C17—44no—
648C23×C17—82no—
649C23×C17—82no—
650C23×C17—82no—
651C23×C17—82no—
652C23×C17C2×#4112yes—
653C23×C17H(5,𝔽2)12yes—
654C23×C17H(5,𝔽2)12yes—
655C23×C17H(5,𝔽2)12yes—
656C23×C17H(5,𝔽2)12yes—
657C23×C17C2511yescharacteristic
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670C22×D17—21no—
671C22×D17—21no—
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—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—44no—
711C2×C4×C17—44no—
712C2×C4×C17—44no—
713C2×C4×C17—44no—
714C2×C4×C17—44no—
715C2×C4×C17—44no—
716C2×C4×C17—44no—
717C2×C4×C17—82no—
718C2×C4×C17—82no—
719C2×C4×C17C2×#4112yes—
720C2×C4×C17C2×#4112yes—
721C2×C4×C17H(5,𝔽2)12yes—
722C22⋊D17—44no—
723C22⋊D17—44no—
724C22⋊D17—44no—
725C22⋊D17—82no—
726C22⋊D17—82no—
727C22⋊D17—82no—
728C22⋊D17—82no—
729C22⋊D17—82no—
730C22⋊D17—82no—
731C22⋊D17—82no—
732C22⋊D17—82no—
733C22⋊D17—82no—
734C22⋊D17—82no—
735C22⋊D17—82no—
736C22⋊D17—82no—
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—21no—
771C2×Dic17—21no—
772C2×Dic17—21no—
773C2×Dic17—21no—
774C2×Dic17—21no—
775C2×Dic17—21no—
776D68—82no—
777D68—82no—
778D68—82no—
779C4×D17—82no—
780C4×D17—82no—
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#2433—171no—
805#2424—171no—
806#2424—171no—
807#2418—171no—
808#2418—171no—
809#2408—171no—
810#2325—171no—
811#2318—171no—
812C2×#386D1711yescharacteristic, complemented
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—88no—
849C22×C17#54014yes—
850C22×C17C22×#4111yescharacteristic
851C22×C17C2×H(5,𝔽2)11yescharacteristic
852C22×C17C2×H(5,𝔽2)11yescharacteristic
853C22×C17C2×H(5,𝔽2)11yescharacteristic
854C22×C17C2×H(5,𝔽2)11yescharacteristic
855C22×C17C2×H(5,𝔽2)11yescharacteristic
856C22×C17#58511yescharacteristic
857C2×D17—41no—
858C2×D17—41no—
859C2×D17—41no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—41no—
877C2×D17—41no—
878C4×C17—22no—
879C4×C17—22no—
880C4×C17—22no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—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×C4C2×D1711yescharacteristic
903C2×#127—171no—
904C2×#127—171no—
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×#121—171no—
918C2×#120—171no—
919C2×#120—171no—
920C2×#120—171no—
921C2×#120—171no—
922C2×#120—171no—
923C2×#120—171no—
924C2×C4×D4—171no—
925C2×C4×D4—171no—
926C2×C4×D4—171no—
927C22×C22⋊C4C2×D1711yescharacteristic
928C22×C22⋊C4C2×D1711yescharacteristic
929C22×C22⋊C4C2×D1711yescharacteristic
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#392—171no—
975#392—171no—
976#392—171no—
977#392—171no—
978#390—171no—
979#390—171no—
980#390—171no—
981#390—171no—
982#390—171no—
983#390—171no—
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#386C2×D1711yescharacteristic
1025#386C2×D1711yescharacteristic
1026#386C2×D1711yescharacteristic
1027#386C2×D1711yescharacteristic
1028#386C2×D1711yescharacteristic
1029#386C2×D1711yescharacteristic
1030#386C2×D1711yescharacteristic
1031#386C2×D1711yescharacteristic
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⋊C4—171no—
1054C2×#95C2×D1711yescharacteristic
1055C2×#95C2×D1711yescharacteristic
1056C2×C17—24no—
1057C2×C17—42no—
1058C2×C17—42no—
1059C2×C17—81no—
1060C2×C17—81no—
1061C2×C17C2×#54011yescharacteristic
1062C2×C17#349011yescharacteristic
1063C2×C17#350611yescharacteristic
1064C2×C17#353211yescharacteristic
1065C2×C17#353411yescharacteristic
1066C2×C17#353411yescharacteristic
1067C2×C17#353711yescharacteristic
1068D17—81no—
1069D17—81no—
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×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—171no—
1089C22×D4—171no—
1090C22×D4—171no—
1091C22×D4—171no—
1092C22×D4—171no—
1093C22×D4—171no—
1094C22×D4C22×D1711yescharacteristic
1095C22×D4C22×D1711yescharacteristic
1096C22×D4C22×D1711yescharacteristic
1097C22×D4C22×D1711yescharacteristic
1098C23×C4—42no—
1099C23×C4—42no—
1100C23×C4—42no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—171no—
1104C23×C4C22×D1711yescharacteristic
1105C23×C4C22×D1711yescharacteristic
1106C23×C4C22×D1711yescharacteristic
1107C23×C4C22×D1711yescharacteristic
1108C23×C4C22×D1711yescharacteristic
1109C23×C4C22×D1711yescharacteristic
1110C23×C4C22×D1711yescharacteristic
1111C23×C4C22×D1711yescharacteristic
1112C23×C4C22×D1711yescharacteristic
1113#127—682no—
1114#127—682no—
1115#123—682no—
1116#123—682no—
1117#123—682no—
1118#123—682no—
1119#121—344no—
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—682no—
1129#120—682no—
1130#120—682no—
1131#120—682no—
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⋊C4—171no—
1157C2×C22⋊C4—42no—
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—42no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊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×C42—171no—
1222C2×C42—171no—
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#95C22×D1711yescharacteristic
1252#95C22×D1711yescharacteristic
1253#95C22×D1711yescharacteristic
1254#95C22×D1711yescharacteristic
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
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—
1275C24—171no—
1276C24—171no—
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—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—416no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—342no—
1299C2×D4—342no—
1300C2×D4—342no—
1301C2×D4—342no—
1302C2×D4—342no—
1303C2×D4—342no—
1304C2×D4—342no—
1305C2×D4—342no—
1306C2×D4—342no—
1307C2×D4—342no—
1308C2×D4—342no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—342no—
1312C2×D4—681no—
1313C2×D4—681no—
1314C2×D4—681no—
1315C2×D4—681no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—681no—
1319C2×D4—681no—
1320C2×D4—681no—
1321C2×D4—681no—
1322C2×D4—681no—
1323C2×D4—681no—
1324C2×D4—681no—
1325C2×D4—681no—
1326C2×D4—681no—
1327C2×D4—681no—
1328C2×D4—681no—
1329C2×D4—681no—
1330C2×D4—681no—
1331C2×D4—681no—
1332C2×D4—681no—
1333C2×D4—681no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—681no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—416no—
1376C22×C4—171no—
1377C22×C4—171no—
1378C22×C4—171no—
1379C22×C4—171no—
1380C22×C4—171no—
1381C22×C4—171no—
1382C22×C4—171no—
1383C22×C4—171no—
1384C22×C4—171no—
1385C22×C4—171no—
1386C22×C4—171no—
1387C22×C4—171no—
1388C22×C4—171no—
1389C22×C4—342no—
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#6325214yes—
1399C22×C4C23×D1711yescharacteristic
1400C22×C4C23×D1711yescharacteristic
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—342no—
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—342no—
1488C42—681no—
1489C42—681no—
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—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—82no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—341no—
1549C23—341no—
1550C23—341no—
1551C23—341no—
1552C23—341no—
1553C23—341no—
1554C23—341no—
1555C23—341no—
1556C23—341no—
1557C23C2×#6325212yes—
1558C23#1058769112yes—
1559C23#1058769112yes—
1560C23#1058769112yes—
1561C23#1058769612yes—
1562C23C24×D1711yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—684no—
1568D4—684no—
1569D4—684no—
1570D4—1362no—
1571D4—1362no—
1572D4—1362no—
1573D4—1362no—
1574D4—1362no—
1575D4—1362no—
1576D4—1362no—
1577D4—1362no—
1578D4—1362no—
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—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—82no—
1620C2×C4—82no—
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—341no—
1654C2×C4—341no—
1655C2×C4—341no—
1656C2×C4—341no—
1657C2×C4—341no—
1658C2×C4—341no—
1659C2×C4—341no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4—1362no—
1663C2×C4C2×#6325212yes—
1664C2×C4C2×#6325212yes—
1665C2×C4#1058769112yes—
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—88no—
1702C22—681no—
1703C22—681no—
1704C22—681no—
1705C22—681no—
1706C22—681no—
1707C22—681no—
1708C22—681no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—681no—
1723C22#1176341014yes—
1724C22C22×#6325211yescharacteristic
1725C22C2×#1058769111yescharacteristic
1726C22C2×#1058769111yescharacteristic
1727C22C2×#1058769111yescharacteristic
1728C22C2×#1058769111yescharacteristic
1729C22C2×#1058769611yescharacteristic
1730C22#1176364511yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
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—1361no—
1760C2—1361no—
1761C2—1361no—
1762C2C2×#1176341011yescharacteristic
1763C2#1454247311yescharacteristic
1764C2#1454263611yescharacteristic
1765C2#1454293911yescharacteristic
1766C2#1454297411yescharacteristic
1767C2#1454297811yescharacteristic
1768C2#1454301911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC2×C17×#386C2
hypercenterC2×#386D17
hypocenterC17#36794
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #14537076C2semidirect
2. #14537066C2semidirect
3. #14536641C2semidirect
4. #14536500C2semidirect
5. #14536100C2semidirect
6. #14536055C2semidirect
7. #14536051C2semidirect
8. #14536011C2semidirect
9. #14535888C2semidirect
10. #14535515C2semidirect
11. #14535512C2semidirect
12. #14535476C2semidirect
13. #14535430C2semidirect
14. #14535373C2semidirect
15. #14535215C2semidirect
16. #14535054C2semidirect
17. #14535047C2semidirect
18. #14535021C2semidirect
19. #14534557C2semidirect
20. #14534518C2semidirect
21. #14534008C2semidirect
22. #14533744C2semidirect
23. #14532417C2semidirect
24. #14532320C2semidirect
25. #14532320C2semidirect
26. #14532246C2semidirect
27. #14532246C2semidirect
28. #14532134C2semidirect
29. #14531487C2semidirect
30. #14531418C2semidirect
31. C2×C17×#386C2semidirect
34. C2×#10587615C22semidirect
35. C2×#10587615C22semidirect
36. C2×#10587569C22semidirect
37. C2×#10587569C22semidirect
41. C2×#10587616C22semidirect
42. C2×#10587616C22semidirect
43. C2×#10587570C22semidirect
44. C2×#10587570C22semidirect
56. #11762751C22semidirect
57. #11762751C22semidirect
58. #11762745C22semidirect
59. #11762745C22semidirect
60. #11762741C22semidirect
61. #11762741C22semidirect
62. #11762741C22semidirect
63. #11762737C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762736C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
72. #11762732C22semidirect
73. #11762732C22semidirect
74. #11762727C22semidirect
75. #11762725C22semidirect
76. #11762725C22semidirect
77. #11762725C22semidirect
78. #11762725C22semidirect
79. #11762725C22semidirect
80. #11762725C22semidirect
81. #11762724C22semidirect
82. #11762724C22semidirect
83. #11762724C22semidirect
84. #11762724C22semidirect
85. #11762724C22semidirect
86. #11762724C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
89. #11762724C22semidirect
90. #11762724C22semidirect
93. #11762719C22semidirect
94. #11762718C22semidirect
95. #11762718C22semidirect
96. #11762718C22semidirect
97. #11762718C22semidirect
108. #11762709C22semidirect
109. #11762709C22semidirect
110. #11762703C22semidirect
111. #11762703C22semidirect
112. #11762702C22semidirect
113. #11762702C22semidirect
114. #11762702C22semidirect
115. #11762702C22semidirect
116. #11762701C22semidirect
117. #11762701C22semidirect
118. #11762701C22semidirect
119. #11762701C22semidirect
120. #11762698C22semidirect
121. #11762698C22semidirect
122. #11762696C22semidirect
123. #11762696C22semidirect
124. #11762694C22semidirect
125. #11762694C22semidirect
126. #11762692C22semidirect
127. #11762692C22semidirect
128. #11762691C22semidirect
129. #11762691C22semidirect
136. #11762688C22semidirect
137. #11762688C22semidirect
138. #11762688C22semidirect
139. #11762688C22semidirect
140. #11762688C22semidirect
141. #11762688C22semidirect
142. #11762687C22semidirect
143. #11762687C22semidirect
144. #11762687C22semidirect
145. #11762687C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
148. #11762685C22semidirect
149. #11762685C22semidirect
150. #11762683C22semidirect
151. #11762683C22semidirect
156. #11762682C22semidirect
157. #11762682C22semidirect
158. #11762676C22semidirect
159. #11762673C22semidirect
160. #11762672C22semidirect
161. #11762672C22semidirect
162. #11762671C22semidirect
166. #11762669C22semidirect
167. #11762669C22semidirect
168. #11762668C22semidirect
812. C2×#386D17semidirect
1259. C17#36794semidirect

Maximal subgroups

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

subgroupindex
#145370762
#145370662
#145366412
#145365002
#145361002
#145360552
#145360512
#145360112
#145358882
#145355152
#145355122
#145354762
#145354302
#145353732
#145352152
#145350542
#145350472
#145350212
#145345572
#145345182
#145340082
#145337442
#145324172
#145323202
#145322462
#145321342
#145314872
#145314182
C2×C17×#3862
#3679417