Finite Group Databasebeta

← #16036906

Subgroups — #16036906

Order 3328.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123164C211yesmaximal, characteristic, complemented
2#13123161C211yesmaximal, characteristic, complemented
3#13123118C211yesmaximal, characteristic, complemented
4#13121032C211yesmaximal, characteristic, complemented
5#13120964C211yesmaximal, characteristic, complemented
6#13120841C211yesmaximal, characteristic, complemented
7#13120824C211yesmaximal, characteristic, complemented
8#13120062C211yesmaximal, characteristic, complemented
9#13119800C211yesmaximal, characteristic, complemented
10#13119764C211yesmaximal, characteristic, complemented
11#13119729C211yesmaximal, characteristic, complemented
12#13119687C211yesmaximal, characteristic, complemented
13#13119604C211yesmaximal, characteristic, complemented
14#13119558C211yesmaximal, characteristic, complemented
15#13119466C211yesmaximal, characteristic, complemented
16#13119026C211yesmaximal, characteristic, complemented
17#13118943C211yesmaximal, characteristic, complemented
18#13118846C211yesmaximal, characteristic, complemented
19#13118739C211yesmaximal, characteristic, complemented
20#13118385C211yesmaximal, characteristic, complemented
21#13118376C211yesmaximal, characteristic, complemented
22#13118311C211yesmaximal, characteristic, complemented
23#13118302C211yesmaximal, characteristic, complemented
24#13117630C211yesmaximal, characteristic, complemented
25#13117621C211yesmaximal, characteristic, complemented
26#13117602C211yesmaximal, characteristic, complemented
27#13117598C211yesmaximal, characteristic, complemented
28#13117346C211yesmaximal, characteristic, complemented
29#13117272C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic13C211yesmaximal, characteristic, complemented
31C13×#2849C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#120C2211yescharacteristic
36C2×#88207C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C22×C22⋊Dic13C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×#88193C2211yescharacteristic
42C2×#88193C2211yescharacteristic
43C2×#88189C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×#88184C2211yescharacteristic
46C2×#88184C2211yescharacteristic
47C2×#88184C2211yescharacteristic
48C22×C4×Dic13C2211yescharacteristic
49C22×C4×Dic13C2211yescharacteristic
50C2×#88146C2211yescharacteristic, complemented
51C2×#88140C2211yescharacteristic
52C2×#88140C2211yescharacteristic
53C2×#88137C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×#88135C2211yescharacteristic
56C2×#88135C2211yescharacteristic, complemented
57C13×#386C2211yescharacteristic
58C13×#386C2211yescharacteristic
59C13×#386C2211yescharacteristic
60C13×#386C2211yescharacteristic
61C13×#385C2211yescharacteristic
62C13×#385C2211yescharacteristic
63C13×#385C2211yescharacteristic
64C13×#385C2211yescharacteristic
65C13×#381C2211yescharacteristic
66C13×#381C2211yescharacteristic
67C13×#379C2211yescharacteristic
68#11718884C2211yescharacteristic
69#11718884C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718883C2211yescharacteristic
72#11718882C2211yescharacteristic
73#11718882C2211yescharacteristic
74#11718881C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718874C2211yescharacteristic
78#11718874C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718874C2211yescharacteristic
81#11718873C2211yescharacteristic
82#11718873C2211yescharacteristic
83#11718873C2211yescharacteristic
84C4×C22⋊Dic13C2211yescharacteristic
85C4×C22⋊Dic13C2211yescharacteristic
86C4×C22⋊Dic13C2211yescharacteristic
87C4×C22⋊Dic13C2211yescharacteristic
88C4×C22⋊Dic13C2211yescharacteristic
89C4×C22⋊Dic13C2211yescharacteristic
90C4×C22⋊Dic13C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic
92C2×#88071C2211yescharacteristic
93C2×#88071C2211yescharacteristic
94#11718655C2211yescharacteristic, complemented
95#11718652C2211yescharacteristic, complemented
96#11718651C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718648C2211yescharacteristic, complemented
100#11718646C2211yescharacteristic, complemented
101#11718644C2211yescharacteristic, complemented
102#11718643C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718642C2211yescharacteristic, complemented
105#11718642C2211yescharacteristic, complemented
106#11718639C2211yescharacteristic, complemented
107#11718639C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109#11718622C2211yescharacteristic
110#11718622C2211yescharacteristic
111#11718621C2211yescharacteristic, complemented
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic, complemented
116#11718619C2211yescharacteristic
117#11718619C2211yescharacteristic
118#11718618C2211yescharacteristic
119#11718618C2211yescharacteristic
120#11718618C2211yescharacteristic
121#11718618C2211yescharacteristic, complemented
122#11718618C2211yescharacteristic, complemented
123#11718618C2211yescharacteristic, complemented
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic, complemented
128#11718614C2211yescharacteristic, complemented
129#11718614C2211yescharacteristic, complemented
130#11718613C2211yescharacteristic
131#11718612C2211yescharacteristic
132#11718612C2211yescharacteristic
133#11718612C2211yescharacteristic
134#11718612C2211yescharacteristic, complemented
135#11718612C2211yescharacteristic, complemented
136#11718612C2211yescharacteristic, complemented
137#11718611C2211yescharacteristic
138#11718611C2211yescharacteristic, complemented
139#11718610C2211yescharacteristic
140#11718610C2211yescharacteristic
141#11718610C2211yescharacteristic
142#11718609C2211yescharacteristic
143#11718609C2211yescharacteristic
144#11718609C2211yescharacteristic
145#11718607C2211yescharacteristic
146#11718606C2211yescharacteristic
147#11718606C2211yescharacteristic
148#11718605C2211yescharacteristic, complemented
149#11718604C2211yescharacteristic
150#11718604C2211yescharacteristic, complemented
151#11718603C2211yescharacteristic
152#11718603C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic, complemented
155#11718336C2211yescharacteristic, complemented
156#11718335C2211yescharacteristic, complemented
157#11718331C2211yescharacteristic, complemented
158#11718331C2211yescharacteristic, complemented
159#11718331C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718330C2211yescharacteristic, complemented
162#11718330C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic, complemented
169#11718322C2211yescharacteristic, complemented
170#11718322C2211yescharacteristic, complemented
171#11718320C2211yescharacteristic, complemented
172#11718319C2211yescharacteristic, complemented
173#11718318C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718316C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718309C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13—24no—
192C23×C4×C13—42no—
193C23×C4×C13—42no—
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C13×#123—24no—
217C13×#123—42no—
218C13×#120—42no—
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236#88207—42no—
237#88207—42no—
238C2×C22⋊Dic13—24no—
239C2×C22⋊Dic13—24no—
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259#88193—24no—
260#88193—24no—
261#88193—42no—
262#88189—42no—
263D4×Dic13—42no—
264#88184—24no—
265#88184—42no—
266#88184—42no—
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×C4×Dic13—42no—
308C2×C4×Dic13—42no—
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322#88146—42no—
323#88140—42no—
324#88140—42no—
325#88137—24no—
326#88135—24no—
327#88135—42no—
328#88135—42no—
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#35056—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—41no—
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—416no—
410C22×C4×C13#4114yes—
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C2×C22⋊D13—41no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13#4114yes—
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C2×D52—22no—
476C2×D52—41no—
477C2×D52—41no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C13×C4⋊C4—22no—
485C13×C4⋊C4—22no—
486C13×C4⋊C4—22no—
487C13×C4⋊C4—41no—
488C13×C22⋊C4—22no—
489C13×C22⋊C4—22no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13#4114yes—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—41no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538C4⋊Dic13—22no—
539C4⋊Dic13—22no—
540C4⋊Dic13—41no—
541C4⋊Dic13—41no—
542C4⋊Dic13—41no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548#6101—22no—
549#6101—22no—
550#6101—22no—
551#6101—22no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560C4×Dic13—22no—
561C4×Dic13—22no—
562C4×Dic13—22no—
563C4×Dic13—41no—
564C4×Dic13—41no—
565C4×Dic13—41no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573#2854—131no—
574#2853—131no—
575#2849D1311yescharacteristic, complemented
576#2847—131no—
577#2667—131no—
578#2661—131no—
579#2649—131no—
580#2648—131no—
581#2569—131no—
582#2543—131no—
583#2539—131no—
584#2534—131no—
585#2531—131no—
586#2526—131no—
587#2522—131no—
588#2516—131no—
589#2476—131no—
590#2471—131no—
591#2464—131no—
592#2457—131no—
593#2425—131no—
594#2424—131no—
595#2419—131no—
596#2418—131no—
597#2335—131no—
598#2335—131no—
599#2333—131no—
600#2333—131no—
601C4×#121—131no—
602#2290—131no—
603C2×C4×C22⋊C4—131no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—28no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—44no—
629C23×C13—44no—
630C23×C13—44no—
631C23×C13—44no—
632C23×C13—44no—
633C23×C13—44no—
634C23×C13C2×#4112yes—
635C23×C13C2×#4112yes—
636C23×C13C2×#4112yes—
637C23×C13H(5,𝔽2)12yes—
638C23×C13H(5,𝔽2)12yes—
639C23×C13C2511yescharacteristic
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654D4×C13—44no—
655D4×C13—82no—
656D4×C13—82no—
657C2×C4×C13—28no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—44no—
689C2×C4×C13—44no—
690C2×C4×C13—44no—
691C2×C4×C13—44no—
692C2×C4×C13—44no—
693C2×C4×C13C2×#4112yes—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13H(5,𝔽2)12yes—
696C22⋊D13—44no—
697C22⋊D13—44no—
698C22⋊D13—44no—
699C22⋊D13—82no—
700C22⋊D13—82no—
701C22⋊D13—82no—
702C22⋊D13—82no—
703C22⋊D13—82no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—44no—
743C2×Dic13—44no—
744C2×Dic13—44no—
745C2×Dic13—44no—
746C2×Dic13—82no—
747C2×Dic13C2×#4112yes—
748C2×Dic13C2×#4112yes—
749C2×Dic13C2×#4112yes—
750C2×Dic13C2×#4112yes—
751D52—82no—
752C4×D13—44no—
753C4×D13—82no—
754C24×C4C2×D1311yescharacteristic
755C2×#123—131no—
756C2×#123—131no—
757C2×#123—131no—
758C2×#123—131no—
759C2×#123C2×D1311yescharacteristic
760C2×#123C2×D1311yescharacteristic
761C2×#121—131no—
762C2×#121—131no—
763C2×#121—131no—
764C2×#121—131no—
765C2×#121—131no—
766C2×#121—131no—
767C2×#120—131no—
768C2×#120—131no—
769C2×#120C2×D1311yescharacteristic
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×#117—131no—
775C22×C22⋊C4—131no—
776C22×C22⋊C4—131no—
777C22×C42—131no—
778C22×C42—131no—
779#400—131no—
780#400—131no—
781#400—131no—
782#399—131no—
783#399—131no—
784#399—131no—
785#398—131no—
786#398—131no—
787#398—131no—
788#398—131no—
789#398—131no—
790#397—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#396—131no—
796#396—131no—
797#396—131no—
798#396—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#392—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#390—131no—
812#390—131no—
813#390—131no—
814#390—131no—
815#390—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#389—131no—
820#389—131no—
821#389—131no—
822#389—131no—
823#388—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#387—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386C2×D1311yescharacteristic
871#386C2×D1311yescharacteristic
872#386C2×D1311yescharacteristic
873#386C2×D1311yescharacteristic
874#385—131no—
875#385—131no—
876#385—131no—
877#385C2×D1311yescharacteristic
878#385C2×D1311yescharacteristic
879#385C2×D1311yescharacteristic
880#385C2×D1311yescharacteristic
881#381—131no—
882#381—131no—
883#381C2×D1311yescharacteristic
884#381C2×D1311yescharacteristic
885#380—131no—
886#380—131no—
887#380—131no—
888#380—131no—
889#380—131no—
890#380—131no—
891#379C2×D1311yescharacteristic
892C4×C4⋊C4—131no—
893C4×C4⋊C4—131no—
894C4×C22⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906#376—131no—
907C2×#95—131no—
908C2×#95—131no—
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—416no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13#54014yes—
938C22×C13C22×#4111yescharacteristic
939C22×C13C22×#4111yescharacteristic
940C22×C13C22×#4111yescharacteristic
941C22×C13C2×H(5,𝔽2)11yescharacteristic
942C22×C13C2×H(5,𝔽2)11yescharacteristic
943C22×C13C2×H(5,𝔽2)11yescharacteristic
944C22×C13#58511yescharacteristic
945C2×D13—41no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—41no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970Dic13—22no—
971Dic13—22no—
972Dic13—22no—
973Dic13—22no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984C25C22×D1311yescharacteristic
985C22×D4—131no—
986C22×D4—131no—
987C22×D4—131no—
988C22×D4—131no—
989C22×D4—131no—
990C22×D4—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4—131no—
994C22×D4C22×D1311yescharacteristic
995C22×D4C22×D1311yescharacteristic
996C22×D4C22×D1311yescharacteristic
997C23×C4—24no—
998C23×C4—42no—
999C23×C4—42no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4C22×D1311yescharacteristic
1008C23×C4C22×D1311yescharacteristic
1009C23×C4C22×D1311yescharacteristic
1010C23×C4C22×D1311yescharacteristic
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013#123—24no—
1014#123—42no—
1015#123—264no—
1016#123—522no—
1017#123—522no—
1018#123—522no—
1019#121—264no—
1020#121—264no—
1021#121—264no—
1022#121—522no—
1023#121—522no—
1024#121—522no—
1025#120—42no—
1026#120—522no—
1027#120—522no—
1028C4×D4—264no—
1029C4×D4—522no—
1030C4×D4—522no—
1031C4×D4—522no—
1032#117—522no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—264no—
1097C2×C22⋊C4—264no—
1098C2×C22⋊C4C22×D1311yescharacteristic
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—522no—
1125C2×C42—522no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95C22×D1311yescharacteristic
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166C2×C13—24no—
1167C2×C13—42no—
1168C2×C13—42no—
1169C2×C13—81no—
1170C2×C13#344411yescharacteristic
1171C2×C13C2×#54011yescharacteristic
1172C2×C13#345911yescharacteristic
1173C2×C13#349011yescharacteristic
1174C2×C13#349411yescharacteristic
1175C2×C13#351311yescharacteristic
1176C2×C13#351911yescharacteristic
1177D13—81no—
1178D13—81no—
1179C24—22no—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—131no—
1187C24—131no—
1188C24C23×D1311yescharacteristic
1189C24C23×D1311yescharacteristic
1190C24C23×D1311yescharacteristic
1191C24C23×D1311yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—262no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—262no—
1208C2×D4—262no—
1209C2×D4—262no—
1210C2×D4—262no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—521no—
1215C2×D4—521no—
1216C2×D4—521no—
1217C2×D4—521no—
1218C2×D4—521no—
1219C2×D4—521no—
1220C2×D4—521no—
1221C2×D4—521no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—416no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—134no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
1258C22×C4—131no—
1259C22×C4—131no—
1260C22×C4—131no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4#612914yes—
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—262no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—262no—
1302C4⋊C4—262no—
1303C4⋊C4—521no—
1304C4⋊C4—521no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—134no—
1333C22⋊C4—262no—
1334C22⋊C4—262no—
1335C22⋊C4—262no—
1336C22⋊C4—262no—
1337C22⋊C4—262no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C42—262no—
1370C42—262no—
1371C42—262no—
1372C42—521no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C13#3505611yescharacteristic, complemented, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23C2×#612912yes—
1428C23#8825112yes—
1429C23#41×D1312yes—
1430C23#41×D1312yes—
1431C23#8825612yes—
1432C23C24×D1311yescharacteristic
1433D4—44no—
1434D4—82no—
1435D4—82no—
1436D4—524no—
1437D4—524no—
1438D4—524no—
1439D4—1042no—
1440D4—1042no—
1441D4—1042no—
1442D4—1042no—
1443D4—1042no—
1444D4—1042no—
1445C2×C4—28no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—132no—
1482C2×C4—132no—
1483C2×C4—132no—
1484C2×C4—132no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—1042no—
1529C2×C4—1042no—
1530C2×C4C2×#612912yes—
1531C2×C4C2×#612912yes—
1532C2×C4#8825112yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—521no—
1562C22—521no—
1563C22—521no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22#1171936814yes—
1576C22C22×#612911yescharacteristic
1577C22C2×#8825111yescharacteristic
1578C22C2×#8825111yescharacteristic
1579C22C2×#41×D1311yescharacteristic
1580C22C2×#41×D1311yescharacteristic
1581C22C2×#8825611yescharacteristic
1582C22#1171964811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—262no—
1595C4—262no—
1596C4—262no—
1597C4—262no—
1598C4—521no—
1599C4—521no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—1041no—
1613C2—1041no—
1614C2#1312812811yescharacteristic
1615C2C2×#1171936811yescharacteristic
1616C2#1312824311yescharacteristic
1617C2#1312852311yescharacteristic
1618C2#1312857311yescharacteristic
1619C2#1312876811yescharacteristic
1620C2#1312885611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2849C2
hypercenter#2849D13
hypocenterC13#35056
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #13123164C2semidirect
2. #13123161C2semidirect
3. #13123118C2semidirect
4. #13121032C2semidirect
5. #13120964C2semidirect
6. #13120841C2semidirect
7. #13120824C2semidirect
8. #13120062C2semidirect
9. #13119800C2semidirect
10. #13119764C2semidirect
11. #13119729C2semidirect
12. #13119687C2semidirect
13. #13119604C2semidirect
14. #13119558C2semidirect
15. #13119466C2semidirect
16. #13119026C2semidirect
17. #13118943C2semidirect
18. #13118846C2semidirect
19. #13118739C2semidirect
20. #13118385C2semidirect
21. #13118376C2semidirect
22. #13118311C2semidirect
23. #13118302C2semidirect
24. #13117630C2semidirect
25. #13117621C2semidirect
26. #13117602C2semidirect
27. #13117598C2semidirect
28. #13117346C2semidirect
29. #13117272C2semidirect
30. C2×C4×C22⋊Dic13C2semidirect
31. C13×#2849C2semidirect
50. C2×#88146C22semidirect
56. C2×#88135C22semidirect
94. #11718655C22semidirect
95. #11718652C22semidirect
96. #11718651C22semidirect
97. #11718651C22semidirect
98. #11718651C22semidirect
99. #11718648C22semidirect
100. #11718646C22semidirect
101. #11718644C22semidirect
102. #11718643C22semidirect
103. #11718642C22semidirect
104. #11718642C22semidirect
105. #11718642C22semidirect
106. #11718639C22semidirect
107. #11718639C22semidirect
108. C4⋊C4×Dic13C22semidirect
111. #11718621C22semidirect
115. #11718620C22semidirect
121. #11718618C22semidirect
122. #11718618C22semidirect
123. #11718618C22semidirect
127. #11718617C22semidirect
128. #11718614C22semidirect
129. #11718614C22semidirect
134. #11718612C22semidirect
135. #11718612C22semidirect
136. #11718612C22semidirect
138. #11718611C22semidirect
148. #11718605C22semidirect
150. #11718604C22semidirect
154. C22⋊C4×Dic13C22semidirect
155. #11718336C22semidirect
156. #11718335C22semidirect
157. #11718331C22semidirect
158. #11718331C22semidirect
159. #11718331C22semidirect
160. #11718330C22semidirect
161. #11718330C22semidirect
162. #11718330C22semidirect
163. #11718330C22semidirect
164. #11718330C22semidirect
165. #11718327C22semidirect
166. #11718327C22semidirect
167. #11718326C22semidirect
168. #11718326C22semidirect
169. #11718322C22semidirect
170. #11718322C22semidirect
171. #11718320C22semidirect
172. #11718319C22semidirect
173. #11718318C22semidirect
174. #11718318C22semidirect
175. #11718316C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718314C22semidirect
179. #11718314C22semidirect
180. #11718314C22semidirect
181. #11718313C22semidirect
182. #11718310C22semidirect
183. #11718309C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
575. #2849D13semidirect
1382. C13#35056semidirect

Maximal subgroups

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

subgroupindex
#131231642
#131231612
#131231182
#131210322
#131209642
#131208412
#131208242
#131200622
#131198002
#131197642
#131197292
#131196872
#131196042
#131195582
#131194662
#131190262
#131189432
#131188462
#131187392
#131183852
#131183762
#131183112
#131183022
#131176302
#131176212
#131176022
#131175982
#131173462
#131172722
C2×C4×C22⋊Dic132
C13×#28492
#3505613