Finite Group Databasebeta

← #16026454

Subgroups — #16026454

Order 3328.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719383C211yesmaximal, characteristic
2#13118023C211yesmaximal, characteristic, complemented
3#13118010C211yesmaximal, characteristic, complemented
4#13117987C211yesmaximal, characteristic, complemented
5#13117978C211yesmaximal, characteristic, complemented
6#13117957C211yesmaximal, characteristic, complemented
7#13117915C211yesmaximal, characteristic, complemented
8#13117887C211yesmaximal, characteristic, complemented
9#13117853C211yesmaximal, characteristic, complemented
10#13117849C211yesmaximal, characteristic, complemented
11#13117837C211yesmaximal, characteristic, complemented
12#13117831C211yesmaximal, characteristic, complemented
13#13117771C211yesmaximal, characteristic, complemented
14#13117768C211yesmaximal, characteristic, complemented
15#13117747C211yesmaximal, characteristic, complemented
16#13117734C211yesmaximal, characteristic, complemented
17#13117648C211yesmaximal, characteristic, complemented
18#13117619C211yesmaximal, characteristic, complemented
19#13117611C211yesmaximal, characteristic, complemented
20#13117611C211yesmaximal, characteristic, complemented
21#13117543C211yesmaximal, characteristic, complemented
22#13117540C211yesmaximal, characteristic, complemented
23#13117528C211yesmaximal, characteristic, complemented
24#13117507C211yesmaximal, characteristic, complemented
25#13117498C211yesmaximal, characteristic, complemented
26#13117495C211yesmaximal, characteristic, complemented
27#13117430C211yesmaximal, characteristic, complemented
28C4×#88136C211yesmaximal, characteristic, complemented
29C4×#88191C211yesmaximal, characteristic, complemented
30D13×#385C211yesmaximal, characteristic, complemented
31C13×#2367C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#124C2211yescharacteristic
34C2×C4×Q8×C13C2211yescharacteristic, complemented
35C2×C4×D4×C13C2211yescharacteristic
36C2×#88201C2211yescharacteristic
37C2×#88200C2211yescharacteristic
38C2×#88193C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C22×#6101C2211yescharacteristic, complemented
44#11719383C4116yescomplemented
45C2×#88146C2211yescharacteristic, complemented
46C2×C4⋊C4×D13C2211yescharacteristic
47C2×C4⋊C4×D13C2211yescharacteristic
48C2×#88140C2211yescharacteristic
49C2×#88138C2211yescharacteristic
50C2×#88138C2211yescharacteristic
51C2×#88137C2211yescharacteristic
52C2×#88136C2211yescharacteristic
53C2×#88135C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×#88135C2211yescharacteristic, complemented
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×#88133C2211yescharacteristic
59C2×#88130C2211yescharacteristic
60C2×C4×D52C2211yescharacteristic
61C2×C4×D52C2211yescharacteristic
62C2×C4×D52C2211yescharacteristic
63C2×C4×D52C2211yescharacteristic
64C13×#391C2211yescharacteristic, complemented
65C13×#390C2211yescharacteristic
66C13×#388C2211yescharacteristic
67C13×#388C2211yescharacteristic
68C13×#388C2211yescharacteristic, complemented
69C13×#388C2211yescharacteristic, complemented
70C13×#385C2211yescharacteristic
71C13×#385C2211yescharacteristic, complemented
72C4×C13×C4⋊C4C2211yescharacteristic, complemented
73C4×C13×C4⋊C4C2211yescharacteristic, complemented
74C4×C13×C22⋊C4C2211yescharacteristic
75C4×C13×C22⋊C4C2211yescharacteristic, complemented
76#11718891C2211yescharacteristic, complemented
77#11718891C2211yescharacteristic, complemented
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718874C2211yescharacteristic, complemented
81#11718871C2211yescharacteristic
82C4×C22⋊Dic13C2211yescharacteristic
83#11718651C2211yescharacteristic
84#11718651C2211yescharacteristic
85#11718650C2211yescharacteristic
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718650C2211yescharacteristic, complemented
92#11718650C2211yescharacteristic, complemented
93#11718650C2211yescharacteristic, complemented
94#11718649C2211yescharacteristic
95#11718648C2211yescharacteristic
96#11718648C2211yescharacteristic, complemented
97#11718639C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718637C2211yescharacteristic, complemented
100C4⋊C4×Dic13C2211yescharacteristic, complemented
101#11718633C2211yescharacteristic, complemented
102#11718633C2211yescharacteristic, complemented
103#11718633C2211yescharacteristic, complemented
104#11718619C2211yescharacteristic
105#11718619C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718618C2211yescharacteristic
108#11718618C2211yescharacteristic, complemented
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic
112#11718617C2211yescharacteristic
113#11718617C2211yescharacteristic, complemented
114#11718616C2211yescharacteristic
115#11718616C2211yescharacteristic
116#11718612C2211yescharacteristic
117#11718612C2211yescharacteristic
118#11718612C2211yescharacteristic, complemented
119#11718612C2211yescharacteristic, complemented
120#11718611C2211yescharacteristic
121#11718611C2211yescharacteristic
122#11718611C2211yescharacteristic, complemented
123#11718611C2211yescharacteristic, complemented
124#11718607C2211yescharacteristic
125#11718607C2211yescharacteristic
126#11718606C2211yescharacteristic
127#11718606C2211yescharacteristic
128#11718606C2211yescharacteristic
129#11718605C2211yescharacteristic
130#11718604C2211yescharacteristic, complemented
131#11718603C2211yescharacteristic, complemented
132C22⋊C4×Dic13C2211yescharacteristic, complemented
133#11718601C2211yescharacteristic
134#11718601C2211yescharacteristic
135#11718601C2211yescharacteristic
136#11718601C2211yescharacteristic, complemented
137#11718601C2211yescharacteristic, complemented
138#11718601C2211yescharacteristic, complemented
139C4×#6103C2211yescharacteristic
140C4×#6103C2211yescharacteristic
141C4×#6103C2211yescharacteristic
142C4×#6103C2211yescharacteristic
143C4×#6103C2211yescharacteristic
144C4×#6103C2211yescharacteristic
145#11718597C2211yescharacteristic, complemented
146#11718597C2211yescharacteristic, complemented
147#11718594C2211yescharacteristic, complemented
148#11718594C2211yescharacteristic, complemented
149#11718594C2211yescharacteristic, complemented
150#11718593C2211yescharacteristic, complemented
151C4×#6101C2211yescharacteristic, complemented
152C4×#6101C2211yescharacteristic, complemented
153#11718589C2211yescharacteristic, complemented
154#11718589C2211yescharacteristic, complemented
155#11718589C2211yescharacteristic, complemented
156#11718331C2211yescharacteristic
157#11718331C2211yescharacteristic
158#11718331C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic
160#11718329C2211yescharacteristic
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic
163#11718329C2211yescharacteristic
164#11718328C2211yescharacteristic
165#11718328C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718327C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×Q8×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C22×D52C2311yescharacteristic
201C22×D52C2311yescharacteristic
202C22×C4×D13—42no—
203C22×C4×D13—42no—
204C22×C4×D13—42no—
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C13×#124C2×C418yescomplemented
217C4×Q8×C13—42no—
218C4×D4×C13—42no—
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊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×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250#88201C2×C418yescomplemented
251#88200C2×C418yescomplemented
252#88193C2×C418yescomplemented
253#88191C2×C418yescomplemented
254C4×C22⋊D13—42no—
255C4×C22⋊D13—42no—
256C4×C22⋊D13—42no—
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×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×#6101—42no—
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×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
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
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317#88146—42no—
318C4⋊C4×D13—42no—
319C4⋊C4×D13—42no—
320#88140C2×C418yescomplemented
321#88138C2×C418yescomplemented
322#88138C2×C418yescomplemented
323#88137C2×C418yescomplemented
324#88136C2×C418yescomplemented
325#88135—42no—
326#88135—42no—
327#88135C2×C418yescomplemented
328C22⋊C4×D13—42no—
329C22⋊C4×D13C2×C418yescomplemented
330#88133C2×C418yescomplemented
331#88130C2×C418yescomplemented
332C4×D52—42no—
333C4×D52—42no—
334C4×D52—42no—
335C4×D52C2×C418yescomplemented
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#34416—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×Q8×C13—41no—
390C2×Q8×C13—41no—
391C2×Q8×C13C22×C414yescomplemented
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13C22×C414yes—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
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
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13C22×C414yes—
423C2×C22⋊D13C22×C414yes—
424C2×C22⋊D13C22×C414yes—
425C2×C22⋊D13C22×C414yescomplemented
426C22×Dic13—41no—
427C22×Dic13—41no—
428C22×Dic13—41no—
429C22×Dic13—41no—
430C22×Dic13—41no—
431C22×Dic13—41no—
432C22×Dic13—41no—
433C22×Dic13—41no—
434C22×Dic13C22×C414yescomplemented
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C2×D52—22no—
449C2×D52—22no—
450C2×D52—41no—
451C2×D52—41no—
452C2×D52C22×C414yes—
453C2×D52C22×C414yes—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
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—416no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13C22×C414yes—
486C2×C4×D13C22×C414yes—
487C2×C4×D13C22×C414yescomplemented
488C13×C4⋊C4—22no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—22no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—41no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4C22×C414yes—
501C13×C22⋊C4C22×C414yes—
502C13×C22⋊C4C22×C414yescomplemented
503C13×C22⋊C4C22×C414yescomplemented
504C42×C13—22no—
505C42×C13—41no—
506C42×C13—41no—
507C42×C13—41no—
508C42×C13—41no—
509C42×C13—41no—
510C42×C13C22×C414yescomplemented
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13C22×C414yes—
518C22⋊Dic13C22×C414yes—
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#6103—41no—
534#6103—41no—
535#6103C22×C414yes—
536#6103C22×C414yes—
537#6103C22×C414yes—
538#6103C22×C414yes—
539#6103C22×C414yes—
540#6103C22×C414yes—
541#6103C22×C414yescomplemented
542#6103C22×C414yescomplemented
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548C4⋊Dic13—41no—
549C4⋊Dic13C22×C414yescomplemented
550C4⋊Dic13C22×C414yescomplemented
551#6101—22no—
552#6101—22no—
553#6101—22no—
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#6101—41no—
563#6101C22×C414yescomplemented
564#6101C22×C414yescomplemented
565#6101C22×C414yescomplemented
566#6101C22×C414yescomplemented
567C4×Dic13—22no—
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×Dic13C22×C414yescomplemented
578C2×#538—131no—
579#2383—131no—
580#2379—131no—
581#2377—131no—
582#2376—131no—
583#2373—131no—
584#2368—131no—
585#2367D1311yescharacteristic, complemented
586#2364—131no—
587#2361—131no—
588#2361—131no—
589#2360—131no—
590#2359—131no—
591#2353—131no—
592#2352—131no—
593#2349—131no—
594D4×C4⋊C4—131no—
595#2337—131no—
596#2335—131no—
597#2334—131no—
598#2334—131no—
599#2326—131no—
600#2325—131no—
601#2324—131no—
602#2322—131no—
603#2321—131no—
604#2321—131no—
605#2312—131no—
606C4×#120—131no—
607C4×#120—131no—
608C2×#385—131no—
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×C13C23×C412yes—
622C23×C13C23×C412yes—
623C23×C13C2511yescharacteristic
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—21no—
640C22×D13—28no—
641C22×D13—44no—
642C22×D13—44no—
643C22×D13—44no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13C23×C412yes—
648C22×D13C23×C412yes—
649C22×D13C23×C412yes—
650C22×D13H(5,𝔽2)12yes—
651C22×D132−1+412yes—
652Q8×C13—44no—
653D4×C13—44no—
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—21no—
685C2×C4×C13—21no—
686C2×C4×C13—44no—
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—44no—
734C2×Dic13—44no—
735C2×Dic13—82no—
736C2×Dic13C23×C412yes—
737C2×Dic13C23×C412yes—
738C2×Dic13C23×C412yes—
739C2×Dic13C23×C412yes—
740C2×Dic13C23×C412yes—
741D52—28no—
742D52—44no—
743C4×D13—44no—
744C4×D13—44no—
745C4×D13—44no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—82no—
751C4×D13—82no—
752C4×D13—82no—
753C4×D13—82no—
754C24×C4—131no—
755#538—1316no—
756C2×#126—131no—
757C2×#126—131no—
758C2×#124—131no—
759C2×#124C2×D1311yescharacteristic
760C2×#123—131no—
761C2×#123—131no—
762C2×C22⋊Q8—131no—
763C2×#121—131no—
764C2×#121—131no—
765C2×#121—131no—
766C2×#120—131no—
767C2×#120—131no—
768C2×C4×Q8C2×D1311yescharacteristic, complemented
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×D4—131no—
778C2×C4×D4—131no—
779C2×C4×D4C2×D1311yescharacteristic
780C2×#117—131no—
781C22×C4⋊C4—131no—
782C22×C4⋊C4—131no—
783C22×C4⋊C4—131no—
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786#391—131no—
787#391—131no—
788#391C2×D1311yescharacteristic, complemented
789#390—131no—
790#390—131no—
791#390—131no—
792#390—131no—
793#390C2×D1311yescharacteristic
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#388—131no—
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#388C2×D1311yescharacteristic
823#388C2×D1311yescharacteristic
824#388C2×D1311yescharacteristic, complemented
825#388C2×D1311yescharacteristic, complemented
826#387—131no—
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#387—131no—
838#386—131no—
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#385—131no—
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#385C2×D1311yescharacteristic
873#385C2×D1311yescharacteristic, complemented
874#384—131no—
875#383—131no—
876#382—131no—
877#382—131no—
878#381—131no—
879#380—131no—
880#380—131no—
881#380—131no—
882#380—131no—
883#380—131no—
884#379—131no—
885#379—131no—
886C4×C4⋊C4—131no—
887C4×C4⋊C4—131no—
888C4×C4⋊C4—131no—
889C4×C4⋊C4—131no—
890C4×C4⋊C4—131no—
891C4×C4⋊C4C2×D1311yescharacteristic, complemented
892C4×C4⋊C4C2×D1311yescharacteristic, complemented
893C4×C22⋊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⋊C4C2×D1311yescharacteristic
905C4×C22⋊C4C2×D1311yescharacteristic, complemented
906#376—131no—
907C2×#95—131no—
908C2×#95—131no—
909C2×#95—131no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13C24×C411yescharacteristic
925C22×C13C2×H(5,𝔽2)11yescharacteristic
926C22×C13C2×H(5,𝔽2)11yescharacteristic
927C22×C13C2×H(5,𝔽2)11yescharacteristic
928C22×C13C2×2−1+411yescharacteristic
929C22×C13#58511yescharacteristic
930C22×C13#58511yescharacteristic
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—22no—
943C2×D13—416no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13#52014yes—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—22no—
957C4×C13—22no—
958C4×C13—22no—
959C4×C13—22no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966Dic13—22no—
967Dic13—22no—
968Dic13—22no—
969Dic13—22no—
970Dic13—22no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979C25—131no—
980C22×Q8C22×D1311yescharacteristic
981C22×D4—131no—
982C22×D4—131no—
983C22×D4—131no—
984C22×D4—131no—
985C22×D4—131no—
986C22×D4—131no—
987C22×D4C22×D1311yescharacteristic
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×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—522no—
1003C23×C4—522no—
1004C23×C4—522no—
1005C23×C4C22×D1311yescharacteristic
1006C23×C4C22×D1311yescharacteristic
1007#126—138no—
1008#126—138no—
1009#124—138no—
1010#124C4×D1318yescomplemented
1011#123—138no—
1012#123—138no—
1013C22⋊Q8—138no—
1014#121—138no—
1015#121—138no—
1016#121—138no—
1017#120—138no—
1018#120—138no—
1019C4×Q8—42no—
1020C4×D4—42no—
1021C4×D4—138no—
1022C4×D4—138no—
1023C4×D4—522no—
1024C4×D4—522no—
1025C4×D4—522no—
1026C4×D4—522no—
1027C4×D4—522no—
1028C4×D4—522no—
1029C4×D4—522no—
1030C4×D4—522no—
1031#117—522no—
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—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—522no—
1057C2×C4⋊C4—522no—
1058C2×C4⋊C4—522no—
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×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—138no—
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—131no—
1097C2×C22⋊C4—131no—
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×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
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×C42C22×D1311yescharacteristic
1121C2×C42C22×D1311yescharacteristic
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
1126C2×C42C22×D1311yescharacteristic
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#95—131no—
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167C2×C13—42no—
1168C2×C13—42no—
1169C2×C13C2×#52011yescharacteristic
1170C2×C13C4×H(5,𝔽2)11yescharacteristic
1171C2×C13C4×H(5,𝔽2)11yescharacteristic
1172C2×C13#353211yescharacteristic
1173C2×C13#353311yescharacteristic
1174C2×C13#354111yescharacteristic
1175C2×C13#354111yescharacteristic
1176D13—24no—
1177D13—42no—
1178D13—42no—
1179C24—131no—
1180C24—131no—
1181C24—131no—
1182C24—134no—
1183C24—262no—
1184C24—262no—
1185C24—521no—
1186C24—521no—
1187C24—521no—
1188C24—521no—
1189C24C23×D1311yescharacteristic
1190C24C23×D1311yescharacteristic
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8C2×C4×D1314yescomplemented
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—134no—
1197C2×D4—134no—
1198C2×D4—134no—
1199C2×D4—134no—
1200C2×D4—134no—
1201C2×D4—134no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—521no—
1207C2×D4—521no—
1208C2×D4—521no—
1209C2×D4—521no—
1210C2×D4—521no—
1211C2×D4—521no—
1212C2×D4—521no—
1213C2×D4—521no—
1214C2×D4C2×C4×D1314yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—131no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—131no—
1226C22×C4—134no—
1227C22×C4—134no—
1228C22×C4—134no—
1229C22×C4—134no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—262no—
1241C22×C4—262no—
1242C22×C4—262no—
1243C22×C4—262no—
1244C22×C4—262no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—521no—
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—5216no—
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×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
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—134no—
1297C4⋊C4—134no—
1298C4⋊C4—134no—
1299C4⋊C4—134no—
1300C4⋊C4—134no—
1301C4⋊C4—134no—
1302C4⋊C4—262no—
1303C4⋊C4—262no—
1304C4⋊C4—262no—
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—
1319C4⋊C4—521no—
1320C22⋊C4—22no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
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—134no—
1335C22⋊C4—134no—
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⋊C4—521no—
1358C22⋊C4C2×C4×D1314yes—
1359C22⋊C4C2×C4×D1314yes—
1360C22⋊C4C2×C4×D1314yescomplemented
1361C22⋊C4C2×C4×D1314yescomplemented
1362C42—22no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—134no—
1369C42—262no—
1370C42—521no—
1371C42—521no—
1372C42—521no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42C2×C4×D1314yescomplemented
1380C13#3441611yescharacteristic, complemented, Sylow
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—132no—
1394C23—132no—
1395C23—132no—
1396C23—132no—
1397C23—132no—
1398C23—268no—
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—261no—
1414C23—261no—
1415C23—524no—
1416C23—524no—
1417C23—524no—
1418C23—524no—
1419C23—524no—
1420C23—524no—
1421C23C22×C4×D1312yes—
1422C23C22×C4×D1312yes—
1423C23C24×D1311yescharacteristic
1424Q8—44no—
1425D4—44no—
1426D4—268no—
1427D4—268no—
1428D4—524no—
1429D4—524no—
1430D4—524no—
1431D4—524no—
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—21no—
1463C2×C4—21no—
1464C2×C4—44no—
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—524no—
1511C2×C4—524no—
1512C2×C4—524no—
1513C2×C4—524no—
1514C2×C4—1042no—
1515C2×C4—1042no—
1516C2×C4—1042no—
1517C2×C4—1042no—
1518C2×C4—1042no—
1519C2×C4C22×C4×D1312yes—
1520C2×C4C22×C4×D1312yes—
1521C2×C4C22×C4×D1312yes—
1522C2×C4C22×C4×D1312yes—
1523C2×C4C22×C4×D1312yes—
1524C2×C4#8825112yes—
1525C2×C4#8825612yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—134no—
1541C22—262no—
1542C22—262no—
1543C22—262no—
1544C22—262no—
1545C22—262no—
1546C22—262no—
1547C22—262no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—262no—
1553C22—5216no—
1554C22—521no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22—521no—
1560C22—521no—
1561C22—521no—
1562C22C23×C4×D1311yescharacteristic
1563C22C2×#8825111yescharacteristic
1564C22C2×#8825611yescharacteristic
1565C22#1171964811yescharacteristic
1566C22#1171964811yescharacteristic
1567C22D13×H(5,𝔽2)11yescharacteristic
1568C22D13×2−1+411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—262no—
1583C4—262no—
1584C4—262no—
1585C4—262no—
1586C4—262no—
1587C4—521no—
1588C4—521no—
1589C4—521no—
1590C4—521no—
1591C4—521no—
1592C4—521no—
1593C4—521no—
1594C4—521no—
1595C2—42no—
1596C2—42no—
1597C2—264no—
1598C2—522no—
1599C2—522no—
1600C2D13×#52011yescharacteristic
1601C2C4×#8825111yescharacteristic
1602C2C4×#8825611yescharacteristic
1603C2#1312898511yescharacteristic
1604C2#1312901011yescharacteristic
1605C2#1312912711yescharacteristic
1606C2#1312913611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2367C2
socle, cosocleC23×C13C25
prime radicalC2×#11719383C2
hypercenter#2367D13
hypocenterC13#34416
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2367

Complements

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

NH ≅ G/Ntype
2. #13118023C2semidirect
3. #13118010C2semidirect
4. #13117987C2semidirect
5. #13117978C2semidirect
6. #13117957C2semidirect
7. #13117915C2semidirect
8. #13117887C2semidirect
9. #13117853C2semidirect
10. #13117849C2semidirect
11. #13117837C2semidirect
12. #13117831C2semidirect
13. #13117771C2semidirect
14. #13117768C2semidirect
15. #13117747C2semidirect
16. #13117734C2semidirect
17. #13117648C2semidirect
18. #13117619C2semidirect
19. #13117611C2semidirect
20. #13117611C2semidirect
21. #13117543C2semidirect
22. #13117540C2semidirect
23. #13117528C2semidirect
24. #13117507C2semidirect
25. #13117498C2semidirect
26. #13117495C2semidirect
27. #13117430C2semidirect
28. C4×#88136C2semidirect
29. C4×#88191C2semidirect
30. D13×#385C2semidirect
31. C13×#2367C2semidirect
34. C2×C4×Q8×C13C22semidirect
43. C22×#6101C22semidirect
44. #11719383C4semidirect
45. C2×#88146C22semidirect
55. C2×#88135C22semidirect
64. C13×#391C22semidirect
68. C13×#388C22semidirect
69. C13×#388C22semidirect
71. C13×#385C22semidirect
72. C4×C13×C4⋊C4C22semidirect
73. C4×C13×C4⋊C4C22semidirect
75. C4×C13×C22⋊C4C22semidirect
76. #11718891C22semidirect
77. #11718891C22semidirect
80. #11718874C22semidirect
91. #11718650C22semidirect
92. #11718650C22semidirect
93. #11718650C22semidirect
96. #11718648C22semidirect
97. #11718639C22semidirect
98. #11718639C22semidirect
99. #11718637C22semidirect
100. C4⋊C4×Dic13C22semidirect
101. #11718633C22semidirect
102. #11718633C22semidirect
103. #11718633C22semidirect
108. #11718618C22semidirect
113. #11718617C22semidirect
118. #11718612C22semidirect
119. #11718612C22semidirect
122. #11718611C22semidirect
123. #11718611C22semidirect
130. #11718604C22semidirect
131. #11718603C22semidirect
132. C22⋊C4×Dic13C22semidirect
136. #11718601C22semidirect
137. #11718601C22semidirect
138. #11718601C22semidirect
145. #11718597C22semidirect
146. #11718597C22semidirect
147. #11718594C22semidirect
148. #11718594C22semidirect
149. #11718594C22semidirect
150. #11718593C22semidirect
151. C4×#6101C22semidirect
152. C4×#6101C22semidirect
153. #11718589C22semidirect
154. #11718589C22semidirect
155. #11718589C22semidirect
158. #11718331C22semidirect
165. #11718328C22semidirect
168. #11718327C22semidirect
175. D13×#95C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718314C22semidirect
181. #11718314C22semidirect
182. #11718314C22semidirect
183. #11718312C22semidirect
184. #11718310C22semidirect
185. #11718310C22semidirect
186. #11718308C22semidirect
187. #11718308C22semidirect
216. C13×#124C2×C4semidirect
250. #88201C2×C4semidirect
251. #88200C2×C4semidirect
252. #88193C2×C4semidirect
253. #88191C2×C4semidirect
320. #88140C2×C4semidirect
321. #88138C2×C4semidirect
322. #88138C2×C4semidirect
323. #88137C2×C4semidirect
324. #88136C2×C4semidirect
327. #88135C2×C4semidirect
329. C22⋊C4×D13C2×C4semidirect
330. #88133C2×C4semidirect
331. #88130C2×C4semidirect
335. C4×D52C2×C4semidirect
391. C2×Q8×C13C22×C4semidirect
425. C2×C22⋊D13C22×C4semidirect
434. C22×Dic13C22×C4semidirect
487. C2×C4×D13C22×C4semidirect
502. C13×C22⋊C4C22×C4semidirect
503. C13×C22⋊C4C22×C4semidirect
510. C42×C13C22×C4semidirect
541. #6103C22×C4semidirect
542. #6103C22×C4semidirect
549. C4⋊Dic13C22×C4semidirect
550. C4⋊Dic13C22×C4semidirect
563. #6101C22×C4semidirect
564. #6101C22×C4semidirect
565. #6101C22×C4semidirect
566. #6101C22×C4semidirect
577. C4×Dic13C22×C4semidirect
585. #2367D13semidirect
768. C2×C4×Q8C2×D13semidirect
788. #391C2×D13semidirect
824. #388C2×D13semidirect
825. #388C2×D13semidirect
873. #385C2×D13semidirect
891. C4×C4⋊C4C2×D13semidirect
892. C4×C4⋊C4C2×D13semidirect
905. C4×C22⋊C4C2×D13semidirect
1010. #124C4×D13semidirect
1193. C2×Q8C2×C4×D13semidirect
1360. C22⋊C4C2×C4×D13semidirect
1361. C22⋊C4C2×C4×D13semidirect
1379. C42C2×C4×D13semidirect
1380. C13#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#117193832
#131180232
#131180102
#131179872
#131179782
#131179572
#131179152
#131178872
#131178532
#131178492
#131178372
#131178312
#131177712
#131177682
#131177472
#131177342
#131176482
#131176192
#131176112
#131175432
#131175402
#131175282
#131175072
#131174982
#131174952
#131174302
C4×#881362
C4×#881912
D13×#3852
C13×#23672
#3441613