Finite Group Databasebeta

← #16025840

Subgroups — #16025840

Order 3328.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#123C211yesmaximal, characteristic
2#13117985C211yesmaximal, characteristic, complemented
3#13117983C211yesmaximal, characteristic, complemented
4#13117981C211yesmaximal, characteristic, complemented
5#13117978C211yesmaximal, characteristic, complemented
6#13117834C211yesmaximal, characteristic, complemented
7#13117830C211yesmaximal, characteristic, complemented
8#13117826C211yesmaximal, characteristic, complemented
9#13117822C211yesmaximal, characteristic, complemented
10#13117712C211yesmaximal, characteristic, complemented
11#13117710C211yesmaximal, characteristic, complemented
12#13117683C211yesmaximal, characteristic, complemented
13#13117683C211yesmaximal, characteristic, complemented
14#13117680C211yesmaximal, characteristic, complemented
15#13117679C211yesmaximal, characteristic, complemented
16#13117654C211yesmaximal, characteristic
17D4×#6103C211yesmaximal, characteristic
18#13117633C211yesmaximal, characteristic, complemented
19#13117629C211yesmaximal, characteristic, complemented
20#13117625C211yesmaximal, characteristic, complemented
21#13117621C211yesmaximal, characteristic, complemented
22#13117508C211yesmaximal, characteristic, complemented
23#13117505C211yesmaximal, characteristic, complemented
24#13117502C211yesmaximal, characteristic, complemented
25#13117451C211yesmaximal, characteristic, complemented
26#13117447C211yesmaximal, characteristic, complemented
27#13117435C211yesmaximal, characteristic, complemented
28#13117430C211yesmaximal, characteristic, complemented
29#13117216C211yesmaximal, characteristic, complemented
30C2×#11718648C211yesmaximal, characteristic, complemented
31C13×#2322C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C22×C13×C4⋊C4C2211yescharacteristic, complemented
37C2×#88189C2211yescharacteristic
38C2×D4×Dic13C2211yescharacteristic
39C2×#88183C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C22×#6103C2211yescharacteristic
42C22×#6103C2211yescharacteristic
43C22×#6103C2211yescharacteristic
44C22×C4⋊Dic13C2211yescharacteristic, complemented
45D13×#123C4116yescomplemented
46C2×#88148C2211yescharacteristic
47C2×#88148C2211yescharacteristic
48C2×#88146C2211yescharacteristic
49C2×C4⋊C4×D13C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×#88140C2211yescharacteristic
52C2×#88137C2211yescharacteristic
53C2×#88137C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×#88131C2211yescharacteristic, complemented
60C2×#88131C2211yescharacteristic, complemented
61C2×#88126C2211yescharacteristic
62C13×#389C2211yescharacteristic, complemented
63C13×#389C2211yescharacteristic, complemented
64C13×#388C2211yescharacteristic, complemented
65C13×#388C2211yescharacteristic, complemented
66C13×#387C2211yescharacteristic, complemented
67C13×#387C2211yescharacteristic, complemented
68C13×#386C2211yescharacteristic
69C13×#385C2211yescharacteristic, complemented
70C13×#385C2211yescharacteristic, complemented
71C13×#385C2211yescharacteristic, complemented
72C13×#381C2211yescharacteristic, complemented
73C4×C13×C22⋊C4C2211yescharacteristic, complemented
74#11718881C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718872C2211yescharacteristic, complemented
78#11718871C2211yescharacteristic, complemented
79#11718871C2211yescharacteristic, complemented
80C4×C22⋊Dic13C2211yescharacteristic, complemented
81C4×C22⋊Dic13C2211yescharacteristic, complemented
82C2×#88071C2211yescharacteristic, complemented
83C2×#88071C2211yescharacteristic, complemented
84#11718651C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic, complemented
87#11718651C2211yescharacteristic, complemented
88#11718651C2211yescharacteristic, complemented
89#11718650C2211yescharacteristic, complemented
90#11718650C2211yescharacteristic, complemented
91#11718650C2211yescharacteristic, complemented
92#11718649C2211yescharacteristic
93#11718648C2211yescharacteristic
94#11718648C2211yescharacteristic
95#11718648C2211yescharacteristic
96#11718648C2211yescharacteristic
97#11718648C2211yescharacteristic
98#11718648C2211yescharacteristic
99#11718648C2211yescharacteristic, complemented
100#11718648C2211yescharacteristic, complemented
101#11718648C2211yescharacteristic, complemented
102#11718648C2211yescharacteristic, complemented
103#11718646C2211yescharacteristic, complemented
104#11718646C2211yescharacteristic, complemented
105#11718642C2211yescharacteristic, complemented
106#11718642C2211yescharacteristic, complemented
107#11718639C2211yescharacteristic, complemented
108#11718639C2211yescharacteristic, complemented
109#11718639C2211yescharacteristic, complemented
110C4⋊C4×Dic13C2211yescharacteristic, complemented
111#11718634C2211yescharacteristic, complemented
112#11718633C2211yescharacteristic, complemented
113#11718633C2211yescharacteristic, complemented
114#11718633C2211yescharacteristic, complemented
115#11718619C2211yescharacteristic
116#11718619C2211yescharacteristic
117#11718618C2211yescharacteristic
118#11718618C2211yescharacteristic
119#11718616C2211yescharacteristic
120#11718616C2211yescharacteristic
121#11718616C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718612C2211yescharacteristic, complemented
124#11718612C2211yescharacteristic, complemented
125#11718611C2211yescharacteristic, complemented
126#11718611C2211yescharacteristic, complemented
127#11718611C2211yescharacteristic, complemented
128#11718607C2211yescharacteristic, complemented
129#11718607C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic, complemented
132#11718605C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic, complemented
134C22⋊C4×Dic13C2211yescharacteristic, complemented
135C22⋊C4×Dic13C2211yescharacteristic, complemented
136C22⋊C4×Dic13C2211yescharacteristic, complemented
137#11718601C2211yescharacteristic, complemented
138#11718601C2211yescharacteristic, complemented
139#11718601C2211yescharacteristic, complemented
140#11718600C2211yescharacteristic
141C4×#6103C2211yescharacteristic
142C4×#6103C2211yescharacteristic
143C4×#6103C2211yescharacteristic, complemented
144C4×C4⋊Dic13C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147#11718589C2211yescharacteristic, complemented
148#11718331C2211yescharacteristic, complemented
149#11718331C2211yescharacteristic, complemented
150#11718331C2211yescharacteristic, complemented
151#11718331C2211yescharacteristic, complemented
152#11718331C2211yescharacteristic, complemented
153#11718330C2211yescharacteristic, complemented
154#11718330C2211yescharacteristic, complemented
155#11718330C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic, complemented
157#11718329C2211yescharacteristic, complemented
158#11718329C2211yescharacteristic, complemented
159#11718328C2211yescharacteristic
160#11718328C2211yescharacteristic
161#11718328C2211yescharacteristic
162#11718328C2211yescharacteristic
163#11718328C2211yescharacteristic, complemented
164#11718328C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718327C2211yescharacteristic
169#11718327C2211yescharacteristic, complemented
170#11718327C2211yescharacteristic, complemented
171#11718327C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic
173#11718326C2211yescharacteristic
174#11718325C2211yescharacteristic
175#11718325C2211yescharacteristic
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C24×D13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C2×D4×D13—42no—
202C2×D4×D13—42no—
203C2×D4×D13C2×C418yes—
204C22×D52C2311yescharacteristic
205C22×C4×D13—42no—
206C22×C4×D13—42no—
207C22×C4×D13C2×C418yescomplemented
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C13×#123C2×C418yescomplemented
218C4×D4×C13—42no—
219C2×C13×C4⋊C4—42no—
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊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
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248#88189C2×C418yescomplemented
249D4×Dic13—42no—
250#88183C2×C418yescomplemented
251C4×C22⋊D13—42no—
252C2×#6103—42no—
253C2×#6103—42no—
254C2×#6103—42no—
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
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×C4⋊Dic13—42no—
284C2×C4⋊Dic13C2311yescharacteristic
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×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
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×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
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
320#88148C2×C418yescomplemented
321#88148C2×C418yescomplemented
322#88146—42no—
323C4⋊C4×D13C2×C418yescomplemented
324C4⋊C4×D13C2×C418yescomplemented
325#88140C2×C418yescomplemented
326#88137C2×C418yescomplemented
327#88137C2×C418yescomplemented
328#88135—42no—
329C22⋊C4×D13—42no—
330C22⋊C4×D13C2×C418yescomplemented
331C22⋊C4×D13C2×C418yescomplemented
332C22⋊C4×D13C2×C418yescomplemented
333#88131—42no—
334#88131—42no—
335#88126—42no—
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#34376—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—22no—
383C23×D13—22no—
384C23×D13—22no—
385C23×D13—41no—
386C23×D13—41no—
387C23×D13—41no—
388C23×D13—41no—
389C23×D13—41no—
390C23×D13—41no—
391C23×D13C22×C414yes—
392C23×D13C22×C414yes—
393C23×D13C2411yescharacteristic
394C23×D13C2411yescharacteristic
395C23×D13C2411yescharacteristic
396C2×D4×C13—22no—
397C2×D4×C13—22no—
398C2×D4×C13C22×C414yes—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—22no—
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—41no—
410C22×C4×C13C22×C414yes—
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
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13C22×C414yes—
429C2×C22⋊D13C22×C414yes—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13—41no—
437C22×Dic13—41no—
438C22×Dic13—41no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13C22×C414yes—
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455D4×D13—416no—
456C2×D52—41no—
457C2×D52—41no—
458C2×D52C22×C414yes—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—416no—
462C2×C4×D13—41no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13C22×C414yes—
481C2×C4×D13C22×C414yes—
482C2×C4×D13C22×C414yes—
483C2×C4×D13C22×C414yes—
484C2×C4×D13C22×C414yes—
485C2×C4×D13C22×C414yes—
486C2×C4×D13C22×C414yes—
487C13×C4⋊C4—41no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4C22×C414yes—
495C13×C4⋊C4C22×C414yes—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4C22×C414yes—
502C13×C22⋊C4C22×C414yes—
503C13×C22⋊C4C22×C414yes—
504C42×C13—41no—
505C42×C13—41no—
506C42×C13—41no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—41no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13C22×C414yes—
513C22⋊Dic13C22×C414yes—
514C22⋊Dic13C22×C414yes—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
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#6103C22×C414yes—
538#6103C22×C414yes—
539#6103C22×C414yes—
540#6103C22×C414yes—
541#6103C22×C414yes—
542#6103C22×C414yes—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548C4⋊Dic13—41no—
549C4⋊Dic13—41no—
550C4⋊Dic13C22×C414yes—
551C4⋊Dic13C22×C414yes—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101C22×C414yes—
563#6101C22×C414yes—
564#6101C22×C414yes—
565#6101C22×C414yes—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574C4×Dic13—41no—
575C4×Dic13—41no—
576C4×Dic13—41no—
577C4×Dic13—41no—
578C4×Dic13—41no—
579C22×#123—131no—
580#2376—131no—
581#2376—131no—
582#2376—131no—
583#2376—131no—
584#2359—131no—
585#2359—131no—
586#2359—131no—
587#2359—131no—
588#2345—131no—
589#2345—131no—
590#2342—131no—
591#2342—131no—
592#2342—131no—
593#2342—131no—
594D4×C22⋊C4—131no—
595D4×C22⋊C4—131no—
596#2335—131no—
597#2335—131no—
598#2335—131no—
599#2335—131no—
600#2322—131no—
601#2322—131no—
602#2322—131no—
603#2322D1311yescharacteristic, complemented
604#2316—131no—
605#2315—131no—
606#2313—131no—
607#2312—131no—
608#2280—131no—
609C2×#380—131no—
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×C13C23×C412yes—
621C23×C13C23×C412yes—
622C23×C13H(5,𝔽2)12yes—
623C23×C13H(5,𝔽2)12yes—
624C23×C13C2511yescharacteristic
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—28no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—28no—
643C22×D13—28no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13—82no—
652C22×D13—82no—
653C22×D13—82no—
654C22×D13—82no—
655C22×D13C23×C412yes—
656C22×D13C23×C412yes—
657C22×D13C23×C412yes—
658C22×D13H(5,𝔽2)12yes—
659C22×D132−1+412yes—
660D4×C13—28no—
661C2×C4×C13—28no—
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—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—82no—
697C2×C4×C13—82no—
698C2×C4×C13—82no—
699C2×C4×C13C23×C412yes—
700C2×C4×C13C23×C412yes—
701C2×C4×C13C23×C412yes—
702C2×C4×C13C23×C412yes—
703C2×C4×C13C23×C412yes—
704C22⋊D13—28no—
705C22⋊D13—44no—
706C2×Dic13—28no—
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—82no—
742C2×Dic13—82no—
743C2×Dic13—82no—
744C2×Dic13C23×C412yes—
745C2×Dic13C23×C412yes—
746C2×Dic13C23×C412yes—
747C2×Dic13C23×C412yes—
748C2×Dic13C23×C412yes—
749D52—44no—
750C4×D13—28no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—82no—
758C4×D13—82no—
759C23×D4—131no—
760C24×C4—131no—
761C2×#123—131no—
762C2×#123—131no—
763C2×#123—1316no—
764C2×#123—131no—
765C2×#123—131no—
766C2×#123—131no—
767C2×#123—131no—
768C2×#123—131no—
769C2×#123C2×D1311yescharacteristic
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4C2×D1311yescharacteristic
774C2×#117—131no—
775C2×#117—131no—
776C2×#117—131no—
777C2×#117—131no—
778C22×C4⋊C4—131no—
779C22×C4⋊C4—131no—
780C22×C4⋊C4—131no—
781C22×C4⋊C4C2×D1311yescharacteristic, complemented
782C22×C22⋊C4—131no—
783C22×C22⋊C4—131no—
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786C22×C22⋊C4—131no—
787C22×C22⋊C4—131no—
788C22×C22⋊C4—131no—
789#390—131no—
790#390—131no—
791#390—131no—
792#390—131no—
793#389—131no—
794#389—131no—
795#389—131no—
796#389—131no—
797#389—131no—
798#389—131no—
799#389—131no—
800#389—131no—
801#389—131no—
802#389—131no—
803#389C2×D1311yescharacteristic, complemented
804#389C2×D1311yescharacteristic, complemented
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388—131no—
816#388—131no—
817#388—131no—
818#388—131no—
819#388—131no—
820#388—131no—
821#388—131no—
822#388—131no—
823#388—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388C2×D1311yescharacteristic, complemented
828#388C2×D1311yescharacteristic, complemented
829#387—131no—
830#387—131no—
831#387—131no—
832#387—131no—
833#387—131no—
834#387—131no—
835#387—131no—
836#387—131no—
837#387—131no—
838#387—131no—
839#387—131no—
840#387—131no—
841#387—131no—
842#387—131no—
843#387C2×D1311yescharacteristic, complemented
844#387C2×D1311yescharacteristic, complemented
845#386—131no—
846#386—131no—
847#386—131no—
848#386—131no—
849#386—131no—
850#386—131no—
851#386—131no—
852#386C2×D1311yescharacteristic
853#385—131no—
854#385—131no—
855#385—131no—
856#385—131no—
857#385—131no—
858#385—131no—
859#385—131no—
860#385—131no—
861#385—131no—
862#385—131no—
863#385—131no—
864#385—131no—
865#385—131no—
866#385C2×D1311yescharacteristic, complemented
867#385C2×D1311yescharacteristic, complemented
868#385C2×D1311yescharacteristic, complemented
869#381—131no—
870#381—131no—
871#381—131no—
872#381C2×D1311yescharacteristic, complemented
873#380—131no—
874#380—131no—
875#380—131no—
876#380—131no—
877#380—131no—
878#380—131no—
879#380—131no—
880#380—131no—
881#380—131no—
882#380—131no—
883#380—131no—
884#380—131no—
885#380—131no—
886#380—131no—
887#380—131no—
888#380—131no—
889#379—131no—
890#379—131no—
891#379—131no—
892#379—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4—131no—
895C4×C4⋊C4—131no—
896C4×C4⋊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—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C4×C22⋊C4—131no—
911C4×C22⋊C4—131no—
912C4×C22⋊C4C2×D1311yescharacteristic, complemented
913C2×#95—131no—
914C2×#95—131no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13#51814yes—
929C22×C13C24×C411yescharacteristic
930C22×C13C2×H(5,𝔽2)11yescharacteristic
931C22×C13C2×H(5,𝔽2)11yescharacteristic
932C22×C13C2×H(5,𝔽2)11yescharacteristic
933C22×C13C2×2−1+411yescharacteristic
934C22×C13#58511yescharacteristic
935C22×C13#58511yescharacteristic
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—416no—
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—88no—
958C2×D13#52014yes—
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972Dic13—22no—
973Dic13—22no—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985C25—131no—
986C25—131no—
987C22×D4—131no—
988C22×D4—131no—
989C22×D4—138no—
990C22×D4—131no—
991C22×D4—522no—
992C22×D4—522no—
993C22×D4C22×D1311yescharacteristic
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—138no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—522no—
1009C23×C4—522no—
1010C23×C4C22×D1311yescharacteristic
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013C23×C4C22×D1311yescharacteristic
1014#123—138no—
1015#123—138no—
1016#123—138no—
1017#123—138no—
1018#123—138no—
1019#123—138no—
1020#123—138no—
1021#123C4×D1318yescomplemented
1022C4×D4—42no—
1023C4×D4—522no—
1024C4×D4—522no—
1025C4×D4—522no—
1026#117—522no—
1027#117—522no—
1028#117—522no—
1029#117—522no—
1030C2×C4⋊C4—42no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—138no—
1038C2×C4⋊C4—138no—
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⋊C4—131no—
1056C2×C4⋊C4—522no—
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C4⋊C4C22×D1311yescharacteristic
1061C2×C4⋊C4C22×D1311yescharacteristic
1062C2×C4⋊C4C22×D1311yescharacteristic
1063C2×C4⋊C4C22×D1311yescharacteristic
1064C2×C4⋊C4C22×D1311yescharacteristic
1065C2×C4⋊C4C22×D1311yescharacteristic
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—138no—
1076C2×C22⋊C4—138no—
1077C2×C22⋊C4—138no—
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—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—522no—
1106C2×C22⋊C4—522no—
1107C2×C22⋊C4—522no—
1108C2×C22⋊C4—522no—
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—131no—
1125C2×C42—131no—
1126C2×C42—131no—
1127C2×C42—131no—
1128C2×C42—131no—
1129C2×C42—131no—
1130C2×C42C22×D1311yescharacteristic
1131C2×C42C22×D1311yescharacteristic
1132C2×C42C22×D1311yescharacteristic
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#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173C2×C13—24no—
1174C2×C13—42no—
1175C2×C13C2×#51811yescharacteristic
1176C2×C13C2×#52011yescharacteristic
1177C2×C13#342811yescharacteristic
1178C2×C13#353411yescharacteristic
1179C2×C13#353411yescharacteristic
1180C2×C13#353511yescharacteristic
1181C2×C13#353511yescharacteristic
1182D13—24no—
1183D13—42no—
1184D13—42no—
1185C24—131no—
1186C24—131no—
1187C24—131no—
1188C24—134no—
1189C24—134no—
1190C24—262no—
1191C24—262no—
1192C24—262no—
1193C24—262no—
1194C24—262no—
1195C24—262no—
1196C24—521no—
1197C24—521no—
1198C24—521no—
1199C24—521no—
1200C24—521no—
1201C24—521no—
1202C24C23×D1311yescharacteristic
1203C24C23×D1311yescharacteristic
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—134no—
1207C2×D4—134no—
1208C2×D4—134no—
1209C2×D4—262no—
1210C2×D4—262no—
1211C2×D4—521no—
1212C2×D4—521no—
1213C2×D4—521no—
1214C2×D4—521no—
1215C2×D4—5216no—
1216C2×D4C2×C4×D1314yes—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—134no—
1229C22×C4—131no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—134no—
1235C22×C4—134no—
1236C22×C4—134no—
1237C22×C4—134no—
1238C22×C4—134no—
1239C22×C4—134no—
1240C22×C4—134no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—262no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—5216no—
1256C22×C4—521no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4—521no—
1261C22×C4—521no—
1262C22×C4—521no—
1263C22×C4—521no—
1264C22×C4—521no—
1265C22×C4—521no—
1266C22×C4—521no—
1267C22×C4—521no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
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×C4C2×C4×D1314yes—
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
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—134no—
1303C4⋊C4—134no—
1304C4⋊C4—134no—
1305C4⋊C4—134no—
1306C4⋊C4—134no—
1307C4⋊C4—134no—
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—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4C2×C4×D1314yes—
1326C4⋊C4C2×C4×D1314yes—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—134no—
1333C22⋊C4—134no—
1334C22⋊C4—134no—
1335C22⋊C4—134no—
1336C22⋊C4—134no—
1337C22⋊C4—134no—
1338C22⋊C4—134no—
1339C22⋊C4—134no—
1340C22⋊C4—134no—
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⋊C4C2×C4×D1314yes—
1369C22⋊C4C2×C4×D1314yes—
1370C22⋊C4C2×C4×D1314yes—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C42—521no—
1387C13#3437611yescharacteristic, complemented, Sylow
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—132no—
1399C23—132no—
1400C23—132no—
1401C23—132no—
1402C23—132no—
1403C23—268no—
1404C23—268no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—268no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—524no—
1423C23—524no—
1424C23—524no—
1425C23—524no—
1426C23—524no—
1427C23—524no—
1428C23—524no—
1429C23—1042no—
1430C23—1042no—
1431C23—1042no—
1432C23—1042no—
1433C23C22×C4×D1312yes—
1434C23C22×C4×D1312yes—
1435C23#8825112yes—
1436C23#8825612yes—
1437C23C24×D1311yescharacteristic
1438D4—28no—
1439D4—268no—
1440D4—524no—
1441D4—524no—
1442C2×C4—28no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
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—21no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—132no—
1481C2×C4—132no—
1482C2×C4—132no—
1483C2×C4—132no—
1484C2×C4—132no—
1485C2×C4—268no—
1486C2×C4—268no—
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—524no—
1522C2×C4—524no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4—524no—
1527C2×C4—1042no—
1528C2×C4—1042no—
1529C2×C4—1042no—
1530C2×C4—1042no—
1531C2×C4—1042no—
1532C2×C4C22×C4×D1312yes—
1533C2×C4C22×C4×D1312yes—
1534C2×C4C22×C4×D1312yes—
1535C2×C4C22×C4×D1312yes—
1536C2×C4C22×C4×D1312yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—134no—
1551C22—262no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—262no—
1559C22—262no—
1560C22—262no—
1561C22—262no—
1562C22—262no—
1563C22—5216no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—1048no—
1573C22#1171925014yes—
1574C22C23×C4×D1311yescharacteristic
1575C22C2×#8825111yescharacteristic
1576C22C2×#8825611yescharacteristic
1577C22D13×H(5,𝔽2)11yescharacteristic
1578C22#1171965011yescharacteristic
1579C22D13×2−1+411yescharacteristic
1580C22#1171965211yescharacteristic
1581C4—22no—
1582C4—22no—
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—262no—
1599C4—521no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C2—24no—
1608C2—42no—
1609C2—264no—
1610C2—522no—
1611C2—522no—
1612C2C2×#1171925011yescharacteristic
1613C2D13×#52011yescharacteristic
1614C2#1312803611yescharacteristic
1615C2#1312901611yescharacteristic
1616C2#1312902411yescharacteristic
1617C2#1312903511yescharacteristic
1618C2#1312904311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2322C2
socle, cosocleC23×C13C25
prime radicalC22×D4×D13C22
hypercenter#2322D13
hypocenterC13#34376
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
2. #13117985C2semidirect
3. #13117983C2semidirect
4. #13117981C2semidirect
5. #13117978C2semidirect
6. #13117834C2semidirect
7. #13117830C2semidirect
8. #13117826C2semidirect
9. #13117822C2semidirect
10. #13117712C2semidirect
11. #13117710C2semidirect
12. #13117683C2semidirect
13. #13117683C2semidirect
14. #13117680C2semidirect
15. #13117679C2semidirect
18. #13117633C2semidirect
19. #13117629C2semidirect
20. #13117625C2semidirect
21. #13117621C2semidirect
22. #13117508C2semidirect
23. #13117505C2semidirect
24. #13117502C2semidirect
25. #13117451C2semidirect
26. #13117447C2semidirect
27. #13117435C2semidirect
28. #13117430C2semidirect
29. #13117216C2semidirect
30. C2×#11718648C2semidirect
31. C13×#2322C2semidirect
36. C22×C13×C4⋊C4C22semidirect
44. C22×C4⋊Dic13C22semidirect
45. D13×#123C4semidirect
59. C2×#88131C22semidirect
60. C2×#88131C22semidirect
62. C13×#389C22semidirect
63. C13×#389C22semidirect
64. C13×#388C22semidirect
65. C13×#388C22semidirect
66. C13×#387C22semidirect
67. C13×#387C22semidirect
69. C13×#385C22semidirect
70. C13×#385C22semidirect
71. C13×#385C22semidirect
72. C13×#381C22semidirect
73. C4×C13×C22⋊C4C22semidirect
77. #11718872C22semidirect
78. #11718871C22semidirect
79. #11718871C22semidirect
80. C4×C22⋊Dic13C22semidirect
81. C4×C22⋊Dic13C22semidirect
82. C2×#88071C22semidirect
83. C2×#88071C22semidirect
84. #11718651C22semidirect
85. #11718651C22semidirect
86. #11718651C22semidirect
87. #11718651C22semidirect
88. #11718651C22semidirect
89. #11718650C22semidirect
90. #11718650C22semidirect
91. #11718650C22semidirect
99. #11718648C22semidirect
100. #11718648C22semidirect
101. #11718648C22semidirect
102. #11718648C22semidirect
103. #11718646C22semidirect
104. #11718646C22semidirect
105. #11718642C22semidirect
106. #11718642C22semidirect
107. #11718639C22semidirect
108. #11718639C22semidirect
109. #11718639C22semidirect
110. C4⋊C4×Dic13C22semidirect
111. #11718634C22semidirect
112. #11718633C22semidirect
113. #11718633C22semidirect
114. #11718633C22semidirect
123. #11718612C22semidirect
124. #11718612C22semidirect
125. #11718611C22semidirect
126. #11718611C22semidirect
127. #11718611C22semidirect
128. #11718607C22semidirect
129. #11718607C22semidirect
130. #11718606C22semidirect
131. #11718606C22semidirect
132. #11718605C22semidirect
133. #11718605C22semidirect
134. C22⋊C4×Dic13C22semidirect
135. C22⋊C4×Dic13C22semidirect
136. C22⋊C4×Dic13C22semidirect
137. #11718601C22semidirect
138. #11718601C22semidirect
139. #11718601C22semidirect
143. C4×#6103C22semidirect
144. C4×C4⋊Dic13C22semidirect
145. #11718594C22semidirect
146. C4×#6101C22semidirect
147. #11718589C22semidirect
148. #11718331C22semidirect
149. #11718331C22semidirect
150. #11718331C22semidirect
151. #11718331C22semidirect
152. #11718331C22semidirect
153. #11718330C22semidirect
154. #11718330C22semidirect
155. #11718330C22semidirect
156. #11718329C22semidirect
157. #11718329C22semidirect
158. #11718329C22semidirect
163. #11718328C22semidirect
164. #11718328C22semidirect
169. #11718327C22semidirect
170. #11718327C22semidirect
171. #11718327C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718314C22semidirect
182. #11718314C22semidirect
183. #11718313C22semidirect
184. #11718310C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
187. #11718308C22semidirect
207. C22×C4×D13C2×C4semidirect
217. C13×#123C2×C4semidirect
248. #88189C2×C4semidirect
250. #88183C2×C4semidirect
320. #88148C2×C4semidirect
321. #88148C2×C4semidirect
323. C4⋊C4×D13C2×C4semidirect
324. C4⋊C4×D13C2×C4semidirect
325. #88140C2×C4semidirect
326. #88137C2×C4semidirect
327. #88137C2×C4semidirect
330. C22⋊C4×D13C2×C4semidirect
331. C22⋊C4×D13C2×C4semidirect
332. C22⋊C4×D13C2×C4semidirect
603. #2322D13semidirect
781. C22×C4⋊C4C2×D13semidirect
803. #389C2×D13semidirect
804. #389C2×D13semidirect
827. #388C2×D13semidirect
828. #388C2×D13semidirect
843. #387C2×D13semidirect
844. #387C2×D13semidirect
866. #385C2×D13semidirect
867. #385C2×D13semidirect
868. #385C2×D13semidirect
872. #381C2×D13semidirect
912. C4×C22⋊C4C2×D13semidirect
1021. #123C4×D13semidirect
1387. C13#34376semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1232
#131179852
#131179832
#131179812
#131179782
#131178342
#131178302
#131178262
#131178222
#131177122
#131177102
#131176832
#131176802
#131176792
#131176542
D4×#61032
#131176332
#131176292
#131176252
#131176212
#131175082
#131175052
#131175022
#131174512
#131174472
#131174352
#131174302
#131172162
C2×#117186482
C13×#23222
#3437613