Finite Group Databasebeta

← #16026620

Subgroups — #16026620

Order 3328.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719362C211yesmaximal, characteristic
2#13118009C211yesmaximal, characteristic, complemented
3#13118009C211yesmaximal, characteristic, complemented
4#13117984C211yesmaximal, characteristic, complemented
5#13117983C211yesmaximal, characteristic, complemented
6#13117910C211yesmaximal, characteristic, complemented
7#13117908C211yesmaximal, characteristic, complemented
8#13117833C211yesmaximal, characteristic, complemented
9#13117819C211yesmaximal, characteristic, complemented
10#13117818C211yesmaximal, characteristic, complemented
11#13117814C211yesmaximal, characteristic, complemented
12#13117813C211yesmaximal, characteristic, complemented
13#13117766C211yesmaximal, characteristic, complemented
14#13117760C211yesmaximal, characteristic, complemented
15#13117745C211yesmaximal, characteristic, complemented
16#13117743C211yesmaximal, characteristic, complemented
17#13117618C211yesmaximal, characteristic, complemented
18#13117616C211yesmaximal, characteristic, complemented
19#13117613C211yesmaximal, characteristic, complemented
20#13117610C211yesmaximal, characteristic, complemented
21#13117565C211yesmaximal, characteristic, complemented
22#13117539C211yesmaximal, characteristic, complemented
23#13117538C211yesmaximal, characteristic, complemented
24#13117533C211yesmaximal, characteristic, complemented
25#13117529C211yesmaximal, characteristic, complemented
26#13117523C211yesmaximal, characteristic, complemented
27#13117447C211yesmaximal, characteristic, complemented
28C4×#88151C211yesmaximal, characteristic, complemented
29C4×#88138C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2359C211yesmaximal, characteristic, complemented
32C2×C13×#123C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C13×#117C2211yescharacteristic, complemented
35C2×#88192C2211yescharacteristic
36C2×#88191C2211yescharacteristic
37C2×#88184C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic, complemented
43C22×#6103C2211yescharacteristic
44#11719362C4116yescomplemented
45C2×#88152C2211yescharacteristic
46C2×#88151C2211yescharacteristic
47C2×#88148C2211yescharacteristic
48C2×#88147C2211yescharacteristic
49C2×#88147C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×#88139C2211yescharacteristic
52C2×#88139C2211yescharacteristic
53C2×#88138C2211yescharacteristic
54C2×#88136C2211yescharacteristic
55C2×#88135C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×#88133C2211yescharacteristic
61C2×C4×D52C2211yescharacteristic
62C2×C4×D52C2211yescharacteristic
63C2×#88126C2211yescharacteristic, complemented
64C2×C42×D13C2211yescharacteristic
65C2×C4×Dic26C2211yescharacteristic, complemented
66C13×#389C2211yescharacteristic, complemented
67C13×#388C2211yescharacteristic
68C13×#388C2211yescharacteristic
69C13×#387C2211yescharacteristic, complemented
70C13×#387C2211yescharacteristic, complemented
71C13×#386C2211yescharacteristic
72C13×#385C2211yescharacteristic
73C13×#385C2211yescharacteristic, complemented
74C4×C13×C4⋊C4C2211yescharacteristic, complemented
75C4×C13×C22⋊C4C2211yescharacteristic
76C4×C13×C22⋊C4C2211yescharacteristic, complemented
77C2×C13×#95C2211yescharacteristic, complemented
78#11718882C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718874C2211yescharacteristic
81#11718874C2211yescharacteristic
82#11718874C2211yescharacteristic, complemented
83#11718873C2211yescharacteristic, complemented
84#11718873C2211yescharacteristic, complemented
85#11718871C2211yescharacteristic
86#11718871C2211yescharacteristic
87#11718871C2211yescharacteristic, complemented
88#11718871C2211yescharacteristic, complemented
89#11718651C2211yescharacteristic
90#11718651C2211yescharacteristic
91#11718651C2211yescharacteristic, complemented
92#11718650C2211yescharacteristic
93#11718650C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic, complemented
97#11718650C2211yescharacteristic, complemented
98#11718648C2211yescharacteristic
99#11718648C2211yescharacteristic
100#11718648C2211yescharacteristic, complemented
101#11718646C2211yescharacteristic, complemented
102#11718646C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718642C2211yescharacteristic, complemented
105#11718639C2211yescharacteristic, complemented
106#11718638C2211yescharacteristic, complemented
107#11718638C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109#11718635C2211yescharacteristic, complemented
110#11718634C2211yescharacteristic, complemented
111#11718618C2211yescharacteristic
112#11718618C2211yescharacteristic
113#11718618C2211yescharacteristic, complemented
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic, complemented
119#11718612C2211yescharacteristic
120#11718612C2211yescharacteristic
121#11718612C2211yescharacteristic, complemented
122#11718612C2211yescharacteristic, complemented
123#11718611C2211yescharacteristic
124#11718611C2211yescharacteristic
125#11718607C2211yescharacteristic
126#11718606C2211yescharacteristic
127#11718606C2211yescharacteristic
128#11718606C2211yescharacteristic
129#11718606C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718605C2211yescharacteristic
132C22⋊C4×Dic13C2211yescharacteristic
133#11718601C2211yescharacteristic
134#11718601C2211yescharacteristic
135#11718601C2211yescharacteristic
136#11718600C2211yescharacteristic
137C4×#6103C2211yescharacteristic
138C4×#6103C2211yescharacteristic
139C4×#6103C2211yescharacteristic
140C4×#6103C2211yescharacteristic, complemented
141C4×C4⋊Dic13C2211yescharacteristic, complemented
142C4×C4⋊Dic13C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144#11718594C2211yescharacteristic, complemented
145C4×#6101C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147#11718589C2211yescharacteristic, complemented
148#11718331C2211yescharacteristic
149#11718331C2211yescharacteristic
150#11718331C2211yescharacteristic, complemented
151#11718331C2211yescharacteristic, complemented
152#11718330C2211yescharacteristic
153#11718330C2211yescharacteristic, complemented
154#11718329C2211yescharacteristic
155#11718329C2211yescharacteristic
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic
158#11718329C2211yescharacteristic
159#11718329C2211yescharacteristic
160#11718329C2211yescharacteristic, complemented
161#11718328C2211yescharacteristic
162#11718328C2211yescharacteristic
163#11718328C2211yescharacteristic, complemented
164#11718327C2211yescharacteristic
165#11718327C2211yescharacteristic
166#11718327C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic, complemented
174#11718315C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718314C2211yescharacteristic, complemented
177#11718314C2211yescharacteristic, complemented
178#11718313C2211yescharacteristic, complemented
179#11718311C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718308C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C22×D52C2311yescharacteristic
200C22×D52C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#123C2×C418yescomplemented
214C4×D4×C13—42no—
215C13×#117—42no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246#88192C2×C418yescomplemented
247#88191C2×C418yescomplemented
248#88184C2×C418yescomplemented
249C4×C22⋊D13—42no—
250C4×C22⋊D13—42no—
251C4×C22⋊D13—42no—
252C4×C22⋊D13—42no—
253C4×C22⋊D13C2×C418yescomplemented
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×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315#88152C2×C418yescomplemented
316#88151C2×C418yescomplemented
317#88148C2×C418yescomplemented
318#88147—42no—
319#88147C2×C418yescomplemented
320C4⋊C4×D13—42no—
321#88139C2×C418yescomplemented
322#88139C2×C418yescomplemented
323#88138C2×C418yescomplemented
324#88136C2×C418yescomplemented
325#88135—42no—
326C22⋊C4×D13—42no—
327C22⋊C4×D13—42no—
328C22⋊C4×D13—42no—
329C22⋊C4×D13C2×C418yescomplemented
330#88133C2×C418yescomplemented
331C4×D52—42no—
332C4×D52—42no—
333#88126—42no—
334C42×D13—42no—
335C4×Dic26—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#34424—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13C22×C414yes—
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13C22×C414yes—
392C22×C4×C13—22no—
393C22×C4×C13—41no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13C22×C414yes—
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13C22×C414yes—
426C2×C22⋊D13C22×C414yes—
427C2×C22⋊D13C22×C414yes—
428C2×C22⋊D13C22×C414yes—
429C22×Dic13—41no—
430C22×Dic13—41no—
431C22×Dic13—41no—
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C2×D52—22no—
446C2×D52—22no—
447C2×D52—41no—
448C2×D52—41no—
449C2×D52C22×C414yes—
450C2×D52C22×C414yes—
451C2×C4×D13—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
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×D13—41no—
481C2×C4×D13C22×C414yes—
482C2×C4×D13C22×C414yes—
483C2×C4×D13C22×C414yes—
484C2×Dic26—41no—
485C2×Dic26—41no—
486C2×Dic26C22×C414yes—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4C22×C414yes—
493C13×C4⋊C4C22×C414yes—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4C22×C414yes—
500C13×C22⋊C4C22×C414yes—
501C13×C22⋊C4C22×C414yes—
502C42×C13—22no—
503C42×C13—22no—
504C42×C13—22no—
505C42×C13—41no—
506C42×C13—41no—
507C22⋊Dic13—41no—
508C22⋊Dic13—41no—
509C22⋊Dic13—41no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13C22×C414yes—
515C22⋊Dic13C22×C414yes—
516C22⋊Dic13C22×C414yes—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
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#6103C22×C414yes—
534#6103C22×C414yes—
535#6103C22×C414yes—
536#6103C22×C414yes—
537#6103C22×C414yes—
538#6103C22×C414yes—
539#6103C22×C414yes—
540#6103C22×C414yes—
541C4⋊Dic13—41no—
542C4⋊Dic13—41no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548C4⋊Dic13C22×C414yes—
549C4⋊Dic13C22×C414yes—
550#6101—22no—
551#6101—22no—
552#6101—22no—
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—
564C4×Dic13—22no—
565C4×Dic13—41no—
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×Dic13C22×C414yes—
576C4×Dic13C22×C414yes—
577C2×#538—131no—
578#2379—131no—
579#2379—131no—
580#2376—131no—
581#2376—131no—
582#2367—131no—
583#2367—131no—
584#2359—131no—
585#2359D1311yescharacteristic, complemented
586#2358—131no—
587#2358—131no—
588#2358—131no—
589#2358—131no—
590#2352—131no—
591#2352—131no—
592#2349—131no—
593#2349—131no—
594#2334—131no—
595#2334—131no—
596#2334—131no—
597#2334—131no—
598#2329—131no—
599#2325—131no—
600#2325—131no—
601#2325—131no—
602#2324—131no—
603#2324—131no—
604#2315—131no—
605C4×C22⋊Q8—131no—
606C4×#121—131no—
607C2×#388—131no—
608C23×C13—21no—
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×C13C23×C412yes—
621C23×C13C23×C412yes—
622C23×C13C2511yescharacteristic
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
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—28no—
640C22×D13—44no—
641C22×D13—44no—
642C22×D13—82no—
643C22×D13—82no—
644C22×D13—82no—
645C22×D13—82no—
646C22×D13C23×C412yes—
647C22×D13C23×C412yes—
648C22×D13C23×C412yes—
649C22×D13H(5,𝔽2)12yes—
650C22×D132−1+412yes—
651D4×C13—44no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
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—44no—
685C2×C4×C13—82no—
686C2×C4×C13—82no—
687C2×C4×C13—82no—
688C2×C4×C13C23×C412yes—
689C2×C4×C13C23×C412yes—
690C2×C4×C13C23×C412yes—
691C2×C4×C13C23×C412yes—
692C2×C4×C13C23×C412yes—
693C2×C4×C13H(5,𝔽2)12yes—
694C2×C4×C13H(5,𝔽2)12yes—
695C22⋊D13—28no—
696C22⋊D13—44no—
697C22⋊D13—44no—
698C22⋊D13—44no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
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—82no—
734C2×Dic13C23×C412yes—
735C2×Dic13C23×C412yes—
736C2×Dic13C23×C412yes—
737C2×Dic13C23×C412yes—
738C2×Dic13C23×C412yes—
739D52—28no—
740D52—44no—
741C4×D13—44no—
742C4×D13—44no—
743C4×D13—44no—
744C4×D13—44no—
745C4×D13—44no—
746C4×D13—82no—
747C4×D13—82no—
748C4×D13—82no—
749C4×D13—82no—
750C4×D13—82no—
751C4×D13—82no—
752Dic26—44no—
753#538—1316no—
754C2×#126—131no—
755C2×#126—131no—
756C2×#124—131no—
757C2×#124—131no—
758C2×#123—131no—
759C2×#123C2×D1311yescharacteristic
760C2×C22⋊Q8—131no—
761C2×#121—131no—
762C2×#121—131no—
763C2×#121—131no—
764C2×#120—131no—
765C2×#120—131no—
766C2×C4×Q8—131no—
767C2×C4×D4—131no—
768C2×C4×D4—131no—
769C2×C4×D4—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C2×C4×D4C2×D1311yescharacteristic
778C2×#117—131no—
779C2×#117C2×D1311yescharacteristic, complemented
780C22×C4⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C22⋊C4—131no—
783C22×C22⋊C4—131no—
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786C22×C42—131no—
787#391—131no—
788#391—131no—
789#391—131no—
790#390—131no—
791#390—131no—
792#390—131no—
793#390—131no—
794#390—131no—
795#389—131no—
796#389—131no—
797#389—131no—
798#389—131no—
799#389—131no—
800#389—131no—
801#389—131no—
802#389C2×D1311yescharacteristic, complemented
803#388—131no—
804#388—131no—
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#388C2×D1311yescharacteristic
826#388C2×D1311yescharacteristic
827#387—131no—
828#387—131no—
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#387C2×D1311yescharacteristic, complemented
838#387C2×D1311yescharacteristic, complemented
839#386—131no—
840#386—131no—
841#386—131no—
842#386—131no—
843#386—131no—
844#386—131no—
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#385—131no—
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385—131no—
873#385C2×D1311yescharacteristic
874#385C2×D1311yescharacteristic, complemented
875#382—131no—
876#382—131no—
877#382—131no—
878#382—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—
887C4×C4⋊C4—131no—
888C4×C4⋊C4—131no—
889C4×C4⋊C4—131no—
890C4×C4⋊C4—131no—
891C4×C4⋊C4—131no—
892C4×C4⋊C4—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4C2×D1311yescharacteristic, complemented
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⋊C4C2×D1311yescharacteristic
904C4×C22⋊C4C2×D1311yescharacteristic, complemented
905C2×#95—131no—
906C2×#95—131no—
907C2×#95—131no—
908C2×#95C2×D1311yescharacteristic, complemented
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13C24×C411yescharacteristic
924C22×C13C2×H(5,𝔽2)11yescharacteristic
925C22×C13C2×H(5,𝔽2)11yescharacteristic
926C22×C13C2×H(5,𝔽2)11yescharacteristic
927C22×C13C2×2−1+411yescharacteristic
928C22×C13#58511yescharacteristic
929C22×C13#58511yescharacteristic
930C2×D13—22no—
931C2×D13—22no—
932C2×D13—22no—
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—41no—
943C2×D13—41no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—88no—
951C2×D13#52014yes—
952C4×C13—22no—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—22no—
957C4×C13—22no—
958C4×C13—22no—
959C4×C13—41no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963C4×C13—41no—
964C4×C13—41no—
965Dic13—22no—
966Dic13—22no—
967Dic13—22no—
968Dic13—22no—
969Dic13—22no—
970Dic13—41no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978C25—131no—
979C22×Q8—131no—
980C22×D4—131no—
981C22×D4—131no—
982C22×D4—131no—
983C22×D4—131no—
984C22×D4—131no—
985C22×D4—131no—
986C22×D4C22×D1311yescharacteristic
987C23×C4—131no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4C22×D1311yescharacteristic
1000C23×C4C22×D1311yescharacteristic
1001C23×C4C22×D1311yescharacteristic
1002C23×C4C22×D1311yescharacteristic
1003#126—138no—
1004#126—138no—
1005#124—138no—
1006#124—138no—
1007#123—138no—
1008#123C4×D1318yescomplemented
1009C22⋊Q8—138no—
1010#121—138no—
1011#121—138no—
1012#121—138no—
1013#120—138no—
1014#120—138no—
1015C4×Q8—522no—
1016C4×D4—42no—
1017C4×D4—138no—
1018C4×D4—138no—
1019C4×D4—522no—
1020C4×D4—522no—
1021C4×D4—522no—
1022C4×D4—522no—
1023C4×D4—522no—
1024C4×D4—522no—
1025C4×D4—522no—
1026C4×D4—522no—
1027#117—42no—
1028#117—522no—
1029C2×C4⋊C4—131no—
1030C2×C4⋊C4—131no—
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—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—522no—
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
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—138no—
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—522no—
1096C2×C22⋊C4—522no—
1097C2×C22⋊C4—522no—
1098C2×C22⋊C4—522no—
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×C42—131no—
1108C2×C42—131no—
1109C2×C42—131no—
1110C2×C42—131no—
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—522no—
1121C2×C42C22×D1311yescharacteristic
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1157#95C22×D1311yescharacteristic
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—42no—
1167C2×C13—42no—
1168C2×C13C2×#52011yescharacteristic
1169C2×C13C4×H(5,𝔽2)11yescharacteristic
1170C2×C13C4×H(5,𝔽2)11yescharacteristic
1171C2×C13#353411yescharacteristic
1172C2×C13#353611yescharacteristic
1173C2×C13#355811yescharacteristic
1174C2×C13#356411yescharacteristic
1175D13—24no—
1176D13—42no—
1177D13—42no—
1178C24—131no—
1179C24—131no—
1180C24—131no—
1181C24—134no—
1182C24—262no—
1183C24—262no—
1184C24—521no—
1185C24—521no—
1186C24—521no—
1187C24—521no—
1188C24C23×D1311yescharacteristic
1189C24C23×D1311yescharacteristic
1190C2×Q8—134no—
1191C2×Q8—521no—
1192C2×Q8—521no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—134no—
1196C2×D4—134no—
1197C2×D4—134no—
1198C2×D4—134no—
1199C2×D4—134no—
1200C2×D4—134no—
1201C2×D4—262no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—521no—
1206C2×D4—521no—
1207C2×D4—521no—
1208C2×D4—521no—
1209C2×D4—521no—
1210C2×D4—521no—
1211C2×D4—521no—
1212C2×D4—521no—
1213C2×D4C2×C4×D1314yes—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—131no—
1226C22×C4—131no—
1227C22×C4—131no—
1228C22×C4—131no—
1229C22×C4—131no—
1230C22×C4—134no—
1231C22×C4—134no—
1232C22×C4—134no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—262no—
1242C22×C4—262no—
1243C22×C4—262no—
1244C22×C4—262no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—521no—
1249C22×C4—521no—
1250C22×C4—521no—
1251C22×C4—521no—
1252C22×C4—521no—
1253C22×C4—521no—
1254C22×C4—521no—
1255C22×C4—521no—
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×C4C2×C4×D1314yes—
1275C22×C4C23×D1311yescharacteristic
1276C22×C4C23×D1311yescharacteristic
1277C22×C4C23×D1311yescharacteristic
1278C22×C4C23×D1311yescharacteristic
1279C22×C4C23×D1311yescharacteristic
1280C22×C4C23×D1311yescharacteristic
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—134no—
1294C4⋊C4—134no—
1295C4⋊C4—134no—
1296C4⋊C4—134no—
1297C4⋊C4—262no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—521no—
1301C4⋊C4—521no—
1302C4⋊C4—521no—
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⋊C4C2×C4×D1314yes—
1317C4⋊C4C2×C4×D1314yes—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—134no—
1324C22⋊C4—134no—
1325C22⋊C4—134no—
1326C22⋊C4—134no—
1327C22⋊C4—134no—
1328C22⋊C4—134no—
1329C22⋊C4—134no—
1330C22⋊C4—134no—
1331C22⋊C4—134no—
1332C22⋊C4—134no—
1333C22⋊C4—134no—
1334C22⋊C4—262no—
1335C22⋊C4—262no—
1336C22⋊C4—262no—
1337C22⋊C4—262no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—521no—
1342C22⋊C4—521no—
1343C22⋊C4—521no—
1344C22⋊C4—521no—
1345C22⋊C4—521no—
1346C22⋊C4—521no—
1347C22⋊C4—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C22⋊C4—521no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4C2×C4×D1314yes—
1358C22⋊C4C2×C4×D1314yes—
1359C22⋊C4C2×C4×D1314yes—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—41no—
1364C42—41no—
1365C42—134no—
1366C42—134no—
1367C42—262no—
1368C42—521no—
1369C42—521no—
1370C42—521no—
1371C42—521no—
1372C42—521no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C13#3442411yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—132no—
1392C23—132no—
1393C23—132no—
1394C23—132no—
1395C23—132no—
1396C23—268no—
1397C23—261no—
1398C23—261no—
1399C23—261no—
1400C23—261no—
1401C23—261no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—524no—
1414C23—524no—
1415C23—1042no—
1416C23—1042no—
1417C23—1042no—
1418C23—1042no—
1419C23C22×C4×D1312yes—
1420C23C22×C4×D1312yes—
1421C23C24×D1311yescharacteristic
1422Q8—524no—
1423D4—44no—
1424D4—268no—
1425D4—268no—
1426D4—524no—
1427D4—524no—
1428D4—524no—
1429D4—524no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
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—44no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—132no—
1467C2×C4—132no—
1468C2×C4—132no—
1469C2×C4—132no—
1470C2×C4—132no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
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—524no—
1506C2×C4—524no—
1507C2×C4—524no—
1508C2×C4—524no—
1509C2×C4—524no—
1510C2×C4—1042no—
1511C2×C4—1042no—
1512C2×C4—1042no—
1513C2×C4—1042no—
1514C2×C4—1042no—
1515C2×C4—1042no—
1516C2×C4—1042no—
1517C2×C4C22×C4×D1312yes—
1518C2×C4C22×C4×D1312yes—
1519C2×C4C22×C4×D1312yes—
1520C2×C4C22×C4×D1312yes—
1521C2×C4C22×C4×D1312yes—
1522C2×C4#8825112yes—
1523C2×C4#8825612yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—134no—
1539C22—262no—
1540C22—262no—
1541C22—262no—
1542C22—262no—
1543C22—262no—
1544C22—262no—
1545C22—262no—
1546C22—262no—
1547C22—262no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—521no—
1552C22—521no—
1553C22—521no—
1554C22—521no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22—1048no—
1560C22C23×C4×D1311yescharacteristic
1561C22C2×#8825111yescharacteristic
1562C22C2×#8825611yescharacteristic
1563C22#1171964811yescharacteristic
1564C22#1171964811yescharacteristic
1565C22D13×H(5,𝔽2)11yescharacteristic
1566C22D13×2−1+411yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—262no—
1581C4—262no—
1582C4—262no—
1583C4—262no—
1584C4—262no—
1585C4—521no—
1586C4—521no—
1587C4—521no—
1588C4—521no—
1589C4—521no—
1590C4—521no—
1591C4—521no—
1592C4—521no—
1593C2—42no—
1594C2—42no—
1595C2—264no—
1596C2—522no—
1597C2—522no—
1598C2D13×#52011yescharacteristic
1599C2C4×#8825111yescharacteristic
1600C2C4×#8825611yescharacteristic
1601C2#1312902911yescharacteristic
1602C2#1312905911yescharacteristic
1603C2#1312934511yescharacteristic
1604C2#1312944711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2359C2
socle, cosocleC23×C13C25
prime radicalC2×#11719362C2
hypercenter#2359D13
hypocenterC13#34424
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. #13118009C2semidirect
3. #13118009C2semidirect
4. #13117984C2semidirect
5. #13117983C2semidirect
6. #13117910C2semidirect
7. #13117908C2semidirect
8. #13117833C2semidirect
9. #13117819C2semidirect
10. #13117818C2semidirect
11. #13117814C2semidirect
12. #13117813C2semidirect
13. #13117766C2semidirect
14. #13117760C2semidirect
15. #13117745C2semidirect
16. #13117743C2semidirect
17. #13117618C2semidirect
18. #13117616C2semidirect
19. #13117613C2semidirect
20. #13117610C2semidirect
21. #13117565C2semidirect
22. #13117539C2semidirect
23. #13117538C2semidirect
24. #13117533C2semidirect
25. #13117529C2semidirect
26. #13117523C2semidirect
27. #13117447C2semidirect
28. C4×#88151C2semidirect
29. C4×#88138C2semidirect
30. D13×#388C2semidirect
31. C13×#2359C2semidirect
34. C2×C13×#117C22semidirect
42. C2×C4×C22⋊D13C22semidirect
44. #11719362C4semidirect
63. C2×#88126C22semidirect
65. C2×C4×Dic26C22semidirect
66. C13×#389C22semidirect
69. C13×#387C22semidirect
70. C13×#387C22semidirect
73. C13×#385C22semidirect
74. C4×C13×C4⋊C4C22semidirect
76. C4×C13×C22⋊C4C22semidirect
77. C2×C13×#95C22semidirect
82. #11718874C22semidirect
83. #11718873C22semidirect
84. #11718873C22semidirect
87. #11718871C22semidirect
88. #11718871C22semidirect
91. #11718651C22semidirect
96. #11718650C22semidirect
97. #11718650C22semidirect
100. #11718648C22semidirect
101. #11718646C22semidirect
102. #11718646C22semidirect
103. #11718642C22semidirect
104. #11718642C22semidirect
105. #11718639C22semidirect
106. #11718638C22semidirect
107. #11718638C22semidirect
108. C4⋊C4×Dic13C22semidirect
109. #11718635C22semidirect
110. #11718634C22semidirect
113. #11718618C22semidirect
118. #11718617C22semidirect
121. #11718612C22semidirect
122. #11718612C22semidirect
129. #11718606C22semidirect
130. #11718606C22semidirect
140. C4×#6103C22semidirect
141. C4×C4⋊Dic13C22semidirect
142. C4×C4⋊Dic13C22semidirect
143. #11718594C22semidirect
144. #11718594C22semidirect
145. C4×#6101C22semidirect
146. C4×#6101C22semidirect
147. #11718589C22semidirect
150. #11718331C22semidirect
151. #11718331C22semidirect
153. #11718330C22semidirect
160. #11718329C22semidirect
163. #11718328C22semidirect
173. D13×#95C22semidirect
174. #11718315C22semidirect
175. #11718314C22semidirect
176. #11718314C22semidirect
177. #11718314C22semidirect
178. #11718313C22semidirect
179. #11718311C22semidirect
180. #11718311C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718308C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
213. C13×#123C2×C4semidirect
246. #88192C2×C4semidirect
247. #88191C2×C4semidirect
248. #88184C2×C4semidirect
253. C4×C22⋊D13C2×C4semidirect
315. #88152C2×C4semidirect
316. #88151C2×C4semidirect
317. #88148C2×C4semidirect
319. #88147C2×C4semidirect
321. #88139C2×C4semidirect
322. #88139C2×C4semidirect
323. #88138C2×C4semidirect
324. #88136C2×C4semidirect
329. C22⋊C4×D13C2×C4semidirect
330. #88133C2×C4semidirect
585. #2359D13semidirect
779. C2×#117C2×D13semidirect
802. #389C2×D13semidirect
837. #387C2×D13semidirect
838. #387C2×D13semidirect
874. #385C2×D13semidirect
894. C4×C4⋊C4C2×D13semidirect
904. C4×C22⋊C4C2×D13semidirect
908. C2×#95C2×D13semidirect
1008. #123C4×D13semidirect
1378. C13#34424semidirect

Maximal subgroups

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

subgroupindex
C2×#117193622
#131180092
#131179842
#131179832
#131179102
#131179082
#131178332
#131178192
#131178182
#131178142
#131178132
#131177662
#131177602
#131177452
#131177432
#131176182
#131176162
#131176132
#131176102
#131175652
#131175392
#131175382
#131175332
#131175292
#131175232
#131174472
C4×#881512
C4×#881382
D13×#3882
C13×#23592
#3442413