Finite Group Databasebeta

← #16028731

Subgroups — #16028731

Order 3328.

2544 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719325C211yesmaximal, characteristic
2#13117976C211yesmaximal, characteristic, complemented
3#13117974C211yesmaximal, characteristic, complemented
4#13117973C211yesmaximal, characteristic, complemented
5#13117967C211yesmaximal, characteristic, complemented
6#13117963C211yesmaximal, characteristic, complemented
7#13117962C211yesmaximal, characteristic, complemented
8#13117897C211yesmaximal, characteristic, complemented
9#13117887C211yesmaximal, characteristic, complemented
10#13117884C211yesmaximal, characteristic, complemented
11#13117879C211yesmaximal, characteristic, complemented
12#13117871C211yesmaximal, characteristic, complemented
13#13117856C211yesmaximal, characteristic, complemented
14#13117850C211yesmaximal, characteristic, complemented
15#13117835C211yesmaximal, characteristic, complemented
16#13117830C211yesmaximal, characteristic, complemented
17#13117632C211yesmaximal, characteristic, complemented
18#13117631C211yesmaximal, characteristic, complemented
19#13117616C211yesmaximal, characteristic, complemented
20#13117613C211yesmaximal, characteristic, complemented
21#13117598C211yesmaximal, characteristic, complemented
22#13117557C211yesmaximal, characteristic, complemented
23#13117538C211yesmaximal, characteristic, complemented
24#13117537C211yesmaximal, characteristic, complemented
25#13117526C211yesmaximal, characteristic, complemented
26#13117524C211yesmaximal, characteristic, complemented
27#13117502C211yesmaximal, characteristic, complemented
28#13117341C211yesmaximal, characteristic, complemented
29#13117341C211yesmaximal, characteristic, complemented
30C4×#88136C211yesmaximal, characteristic, complemented
31C13×#2333C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#121C2211yescharacteristic
34C2×#88194C2211yescharacteristic
35C2×#88193C2211yescharacteristic
36C2×#88193C2211yescharacteristic
37C2×#88192C2211yescharacteristic
38C2×#88191C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×D4×Dic13C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic, complemented
43C2×#88184C2211yescharacteristic
44C2×#88183C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic, complemented
47C22×C4⋊Dic13C2211yescharacteristic, complemented
48#11719325C4116yescomplemented
49C2×#88152C2211yescharacteristic
50C2×#88148C2211yescharacteristic
51C2×#88146C2211yescharacteristic, complemented
52C2×#88140C2211yescharacteristic
53C2×#88138C2211yescharacteristic
54C2×#88136C2211yescharacteristic
55C2×#88135C2211yescharacteristic
56C2×#88135C2211yescharacteristic
57C2×#88135C2211yescharacteristic
58C2×#88135C2211yescharacteristic
59C2×#88135C2211yescharacteristic, complemented
60C2×#88133C2211yescharacteristic
61C2×#88131C2211yescharacteristic, complemented
62C2×C4×D52C2211yescharacteristic
63C2×C4×D52C2211yescharacteristic
64C13×#390C2211yescharacteristic
65C13×#390C2211yescharacteristic, complemented
66C13×#388C2211yescharacteristic
67C13×#388C2211yescharacteristic, complemented
68C13×#387C2211yescharacteristic, complemented
69C13×#387C2211yescharacteristic, complemented
70C13×#386C2211yescharacteristic
71C13×#386C2211yescharacteristic
72C13×#386C2211yescharacteristic
73C13×#386C2211yescharacteristic, complemented
74C13×#381C2211yescharacteristic, complemented
75C4×C13×C22⋊C4C2211yescharacteristic
76C4×C13×C22⋊C4C2211yescharacteristic, complemented
77C4×C13×C22⋊C4C2211yescharacteristic, complemented
78#11718882C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic, complemented
81#11718874C2211yescharacteristic
82#11718874C2211yescharacteristic
83#11718871C2211yescharacteristic
84#11718871C2211yescharacteristic
85C4×C22⋊Dic13C2211yescharacteristic, complemented
86C2×#88071C2211yescharacteristic, complemented
87#11718651C2211yescharacteristic
88#11718651C2211yescharacteristic
89#11718651C2211yescharacteristic
90#11718649C2211yescharacteristic
91#11718646C2211yescharacteristic, complemented
92C4⋊C4×Dic13C2211yescharacteristic, complemented
93C4⋊C4×Dic13C2211yescharacteristic, complemented
94#11718634C2211yescharacteristic, complemented
95#11718633C2211yescharacteristic, complemented
96#11718619C2211yescharacteristic
97#11718619C2211yescharacteristic
98#11718619C2211yescharacteristic
99#11718619C2211yescharacteristic, complemented
100#11718619C2211yescharacteristic, complemented
101#11718618C2211yescharacteristic
102#11718618C2211yescharacteristic
103#11718618C2211yescharacteristic
104#11718618C2211yescharacteristic
105#11718618C2211yescharacteristic
106#11718618C2211yescharacteristic, complemented
107#11718618C2211yescharacteristic, complemented
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic
112#11718617C2211yescharacteristic
113#11718617C2211yescharacteristic, complemented
114#11718617C2211yescharacteristic, complemented
115#11718616C2211yescharacteristic
116#11718616C2211yescharacteristic
117#11718616C2211yescharacteristic
118#11718612C2211yescharacteristic
119#11718612C2211yescharacteristic, complemented
120#11718611C2211yescharacteristic
121#11718611C2211yescharacteristic, complemented
122#11718607C2211yescharacteristic, complemented
123#11718606C2211yescharacteristic
124#11718606C2211yescharacteristic
125#11718606C2211yescharacteristic, complemented
126#11718605C2211yescharacteristic
127#11718605C2211yescharacteristic
128#11718605C2211yescharacteristic, complemented
129#11718603C2211yescharacteristic, complemented
130C22⋊C4×Dic13C2211yescharacteristic
131C22⋊C4×Dic13C2211yescharacteristic
132C22⋊C4×Dic13C2211yescharacteristic, complemented
133C22⋊C4×Dic13C2211yescharacteristic, complemented
134#11718601C2211yescharacteristic
135#11718601C2211yescharacteristic
136#11718601C2211yescharacteristic
137#11718600C2211yescharacteristic
138C4×#6103C2211yescharacteristic
139C4×#6103C2211yescharacteristic
140C4×#6103C2211yescharacteristic, complemented
141C4×C4⋊Dic13C2211yescharacteristic, complemented
142C4×C4⋊Dic13C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144C4×#6101C2211yescharacteristic, complemented
145C4×#6101C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147#11718589C2211yescharacteristic, complemented
148#11718331C2211yescharacteristic
149#11718331C2211yescharacteristic
150#11718331C2211yescharacteristic
151#11718331C2211yescharacteristic, complemented
152#11718330C2211yescharacteristic
153#11718330C2211yescharacteristic
154#11718330C2211yescharacteristic
155#11718330C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic
158#11718329C2211yescharacteristic
159#11718329C2211yescharacteristic
160#11718329C2211yescharacteristic
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic, complemented
163#11718328C2211yescharacteristic, complemented
164#11718327C2211yescharacteristic
165#11718327C2211yescharacteristic
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718327C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173D13×#95C2211yescharacteristic, complemented
174#11718316C2211yescharacteristic, complemented
175#11718316C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718309C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×D52C2311yescharacteristic
209C22×C4×D13—42no—
210C22×C4×D13—42no—
211C22×C4×D13—42no—
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C13×#121C2×C418yescomplemented
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250#88194C2×C418yescomplemented
251#88193C2×C418yescomplemented
252#88193C2×C418yescomplemented
253#88192C2×C418yescomplemented
254#88191C2×C418yescomplemented
255#88191C2×C418yescomplemented
256D4×Dic13—42no—
257D4×Dic13—42no—
258D4×Dic13—42no—
259#88184C2×C418yescomplemented
260#88183C2×C418yescomplemented
261C4×C22⋊D13—42no—
262C4×C22⋊D13—42no—
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×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×C4⋊Dic13—42no—
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325#88152C2×C418yescomplemented
326#88148C2×C418yescomplemented
327#88146—42no—
328#88140C2×C418yescomplemented
329#88138C2×C418yescomplemented
330#88136C2×C418yescomplemented
331#88135—42no—
332#88135—42no—
333#88135—42no—
334#88135—42no—
335#88135—42no—
336#88133C2×C418yescomplemented
337#88131—42no—
338C4×D52—42no—
339C4×D52—42no—
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
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#34511—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13C22×C414yes—
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13—41no—
396C2×D4×C13C22×C414yes—
397C2×D4×C13C22×C414yes—
398C2×D4×C13C22×C414yescomplemented
399C22×C4×C13—22no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13C22×C414yescomplemented
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
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13—41no—
434C2×C22⋊D13C22×C414yes—
435C2×C22⋊D13C22×C414yes—
436C2×C22⋊D13C22×C414yes—
437C2×C22⋊D13C22×C414yes—
438C2×C22⋊D13C22×C414yes—
439C2×C22⋊D13C22×C414yescomplemented
440C2×C22⋊D13C22×C414yescomplemented
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—22no—
445C22×Dic13—41no—
446C22×Dic13—41no—
447C22×Dic13—41no—
448C22×Dic13—41no—
449C22×Dic13—41no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13—41no—
453C22×Dic13—41no—
454C22×Dic13—41no—
455C22×Dic13C22×C414yescomplemented
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C2×D52—41no—
470C2×D52—41no—
471C2×D52—41no—
472C2×D52—41no—
473C2×D52C22×C414yes—
474C2×D52C22×C414yes—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×C4×D13—41no—
489C2×C4×D13—41no—
490C2×C4×D13—416no—
491C2×C4×D13—41no—
492C2×C4×D13—41no—
493C2×C4×D13—41no—
494C2×C4×D13—41no—
495C2×C4×D13—41no—
496C2×C4×D13C22×C414yescomplemented
497C13×C4⋊C4—41no—
498C13×C4⋊C4—41no—
499C13×C4⋊C4C22×C414yescomplemented
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4C22×C414yes—
511C13×C22⋊C4C22×C414yescomplemented
512C42×C13—41no—
513C42×C13—41no—
514C42×C13—41no—
515C42×C13—41no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13C22×C414yes—
525C22⋊Dic13C22×C414yes—
526C22⋊Dic13C22×C414yescomplemented
527#6103—22no—
528#6103—22no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103C22×C414yes—
546#6103C22×C414yes—
547#6103C22×C414yes—
548#6103C22×C414yes—
549#6103C22×C414yes—
550#6103C22×C414yes—
551#6103C22×C414yescomplemented
552C4⋊Dic13—22no—
553C4⋊Dic13—22no—
554C4⋊Dic13—22no—
555C4⋊Dic13—22no—
556C4⋊Dic13—41no—
557C4⋊Dic13—41no—
558C4⋊Dic13C22×C414yescomplemented
559C4⋊Dic13C22×C414yescomplemented
560#6101—22no—
561#6101—22no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566#6101—41no—
567#6101—41no—
568#6101—41no—
569#6101—41no—
570#6101C22×C414yescomplemented
571#6101C22×C414yescomplemented
572#6101C22×C414yescomplemented
573C4×Dic13—22no—
574C4×Dic13—22no—
575C4×Dic13—22no—
576C4×Dic13—41no—
577C4×Dic13—41no—
578C4×Dic13—41no—
579C4×Dic13—41no—
580C4×Dic13—41no—
581C4×Dic13—41no—
582C4×Dic13—41no—
583C4×Dic13—41no—
584C4×Dic13—41no—
585C4×Dic13—41no—
586C4×Dic13—41no—
587C4×Dic13C22×C414yescomplemented
588C2×#560—131no—
589#2375—131no—
590#2375—131no—
591#2375—131no—
592#2374—131no—
593#2373—131no—
594#2373—131no—
595#2366—131no—
596#2364—131no—
597#2364—131no—
598#2363—131no—
599#2363—131no—
600#2361—131no—
601#2361—131no—
602#2359—131no—
603#2359—131no—
604#2335—131no—
605#2335—131no—
606#2334—131no—
607#2334—131no—
608#2333—131no—
609#2333D1311yescharacteristic, complemented
610#2328—131no—
611#2325—131no—
612#2325—131no—
613#2324—131no—
614#2324—131no—
615#2322—131no—
616C4×#120—131no—
617C4×#120—131no—
618C4×#120—131no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13C23×C412yes—
638C23×C13C23×C412yes—
639C23×C13C23×C412yes—
640C23×C13C2511yescharacteristic
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—44no—
660C22×D13—44no—
661C22×D13—44no—
662C22×D13—44no—
663C22×D13—44no—
664C22×D13—44no—
665C22×D13—44no—
666C22×D13C23×C412yes—
667C22×D13C23×C412yes—
668C22×D13C23×C412yes—
669D4×C13—44no—
670D4×C13—44no—
671D4×C13—44no—
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—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—44no—
704C2×C4×C13—44no—
705C2×C4×C13—82no—
706C2×C4×C13C23×C412yes—
707C2×C4×C13C23×C412yes—
708C2×C4×C13C23×C412yes—
709C2×C4×C13C23×C412yes—
710C2×C4×C13H(5,𝔽2)12yes—
711C22⋊D13—44no—
712C22⋊D13—44no—
713C22⋊D13—44no—
714C22⋊D13—44no—
715C22⋊D13—44no—
716C22⋊D13—44no—
717C22⋊D13—44no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—44no—
751C2×Dic13—44no—
752C2×Dic13—82no—
753C2×Dic13—82no—
754C2×Dic13—82no—
755C2×Dic13C23×C412yes—
756C2×Dic13C23×C412yes—
757C2×Dic13C23×C412yes—
758C2×Dic13C23×C412yes—
759C2×Dic13C23×C412yes—
760C2×Dic13H(5,𝔽2)12yes—
761C2×Dic13H(5,𝔽2)12yes—
762D52—44no—
763D52—44no—
764C4×D13—44no—
765C4×D13—44no—
766C4×D13—44no—
767C4×D13—44no—
768C4×D13—44no—
769C4×D13—82no—
770C4×D13—82no—
771C24×C4—131no—
772#560—1316no—
773C2×#127—131no—
774C2×#126—131no—
775C2×#126—131no—
776C2×#123—131no—
777C2×#123—131no—
778C2×#123—131no—
779C2×#121—131no—
780C2×#121—131no—
781C2×#121—131no—
782C2×#121—131no—
783C2×#121—131no—
784C2×#121C2×D1311yescharacteristic
785C2×#120—131no—
786C2×#120—131no—
787C2×#120—131no—
788C2×C4×D4—131no—
789C2×C4×D4—131no—
790C2×C4×D4—131no—
791C2×C4×D4—131no—
792C2×C4×D4—131no—
793C2×C4×D4—131no—
794C2×C4×D4—131no—
795C2×C4×D4—131no—
796C2×C4×D4—131no—
797C2×C4×D4—131no—
798C2×C4×D4—131no—
799C2×C4×D4—131no—
800C2×#117—131no—
801C2×#117—131no—
802C22×C4⋊C4—131no—
803#390—131no—
804#390—131no—
805#390—131no—
806#390—131no—
807#390—131no—
808#390—131no—
809#390—131no—
810#390—131no—
811#390—131no—
812#390—131no—
813#390C2×D1311yescharacteristic
814#390C2×D1311yescharacteristic, complemented
815#389—131no—
816#389—131no—
817#389—131no—
818#389—131no—
819#389—131no—
820#389—131no—
821#388—131no—
822#388—131no—
823#388—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#388C2×D1311yescharacteristic
844#388C2×D1311yescharacteristic, complemented
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#387—131no—
855#387C2×D1311yescharacteristic, complemented
856#387C2×D1311yescharacteristic, complemented
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#386—131no—
875#386—131no—
876#386—131no—
877#386C2×D1311yescharacteristic
878#386C2×D1311yescharacteristic
879#386C2×D1311yescharacteristic
880#386C2×D1311yescharacteristic, complemented
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385—131no—
886#385—131no—
887#385—131no—
888#385—131no—
889#385—131no—
890#385—131no—
891#385—131no—
892#385—131no—
893#382—131no—
894#381C2×D1311yescharacteristic, complemented
895#380—131no—
896#380—131no—
897#379—131no—
898#379—131no—
899#379—131no—
900C4×C4⋊C4—131no—
901C4×C4⋊C4—131no—
902C4×C4⋊C4—131no—
903C4×C4⋊C4—131no—
904C4×C4⋊C4—131no—
905C4×C4⋊C4—131no—
906C4×C4⋊C4—131no—
907C4×C4⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C4×C22⋊C4—131no—
911C4×C22⋊C4—131no—
912C4×C22⋊C4—131no—
913C4×C22⋊C4—131no—
914C4×C22⋊C4—131no—
915C4×C22⋊C4—131no—
916C4×C22⋊C4—131no—
917C4×C22⋊C4—131no—
918C4×C22⋊C4—131no—
919C4×C22⋊C4—131no—
920C4×C22⋊C4—131no—
921C4×C22⋊C4C2×D1311yescharacteristic
922C4×C22⋊C4C2×D1311yescharacteristic, complemented
923C4×C22⋊C4C2×D1311yescharacteristic, complemented
924#376—131no—
925C2×#95—131no—
926C2×#95—131no—
927C22×C13—22no—
928C22×C13—22no—
929C22×C13—22no—
930C22×C13—22no—
931C22×C13—22no—
932C22×C13—22no—
933C22×C13—22no—
934C22×C13—22no—
935C22×C13—22no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13C24×C411yescharacteristic
949C22×C13C2×H(5,𝔽2)11yescharacteristic
950C22×C13C2×H(5,𝔽2)11yescharacteristic
951C22×C13C2×H(5,𝔽2)11yescharacteristic
952C22×C13#58511yescharacteristic
953C22×C13#58511yescharacteristic
954C22×C13#58511yescharacteristic
955C2×D13—22no—
956C2×D13—22no—
957C2×D13—22no—
958C2×D13—22no—
959C2×D13—22no—
960C2×D13—22no—
961C2×D13—22no—
962C2×D13—22no—
963C2×D13—22no—
964C2×D13—416no—
965C2×D13—41no—
966C2×D13—41no—
967C2×D13—41no—
968C2×D13—41no—
969C2×D13—41no—
970C2×D13—41no—
971C2×D13—41no—
972C2×D13—41no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—41no—
976C2×D13—41no—
977C4×C13—22no—
978C4×C13—22no—
979C4×C13—22no—
980C4×C13—22no—
981C4×C13—22no—
982C4×C13—41no—
983C4×C13—41no—
984C4×C13—41no—
985C4×C13—41no—
986C4×C13—41no—
987C4×C13—41no—
988C4×C13—41no—
989Dic13—22no—
990Dic13—22no—
991Dic13—22no—
992Dic13—22no—
993Dic13—22no—
994Dic13—22no—
995Dic13—22no—
996Dic13—41no—
997Dic13—41no—
998Dic13—41no—
999Dic13—41no—
1000Dic13—41no—
1001Dic13—41no—
1002C25—131no—
1003C22×D4—131no—
1004C22×D4—131no—
1005C22×D4—131no—
1006C22×D4—131no—
1007C22×D4—131no—
1008C22×D4—131no—
1009C22×D4—131no—
1010C22×D4—131no—
1011C22×D4—131no—
1012C22×D4C22×D1311yescharacteristic
1013C22×D4C22×D1311yescharacteristic
1014C22×D4C22×D1311yescharacteristic
1015C23×C4—131no—
1016C23×C4—131no—
1017C23×C4—131no—
1018C23×C4—131no—
1019C23×C4—131no—
1020C23×C4—131no—
1021C23×C4—131no—
1022C23×C4—131no—
1023C23×C4—131no—
1024C23×C4—131no—
1025C23×C4—131no—
1026C23×C4—131no—
1027C23×C4—522no—
1028C23×C4—522no—
1029C23×C4—522no—
1030C23×C4C22×D1311yescharacteristic
1031C23×C4C22×D1311yescharacteristic
1032C23×C4C22×D1311yescharacteristic
1033#127—138no—
1034#126—138no—
1035#126—138no—
1036#123—138no—
1037#123—138no—
1038#123—138no—
1039#121—138no—
1040#121—138no—
1041#121—138no—
1042#121—138no—
1043#121—138no—
1044#121C4×D1318yescomplemented
1045#120—138no—
1046#120—138no—
1047#120—138no—
1048C4×D4—522no—
1049C4×D4—522no—
1050C4×D4—522no—
1051C4×D4—522no—
1052C4×D4—522no—
1053C4×D4—522no—
1054C4×D4—522no—
1055C4×D4—522no—
1056C4×D4—522no—
1057C4×D4—522no—
1058C4×D4—522no—
1059C4×D4—522no—
1060#117—522no—
1061#117—522no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—131no—
1081C2×C4⋊C4—131no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—522no—
1084C2×C4⋊C4C22×D1311yescharacteristic
1085C2×C4⋊C4C22×D1311yescharacteristic
1086C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4C22×D1311yescharacteristic
1124C2×C22⋊C4C22×D1311yescharacteristic
1125C2×C22⋊C4C22×D1311yescharacteristic
1126C2×C22⋊C4C22×D1311yescharacteristic
1127C2×C22⋊C4C22×D1311yescharacteristic
1128C2×C22⋊C4C22×D1311yescharacteristic
1129C2×C22⋊C4C22×D1311yescharacteristic
1130C2×C22⋊C4C22×D1311yescharacteristic
1131C2×C22⋊C4C22×D1311yescharacteristic
1132C2×C22⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4C22×D1311yescharacteristic
1134C2×C22⋊C4C22×D1311yescharacteristic
1135C2×C42—131no—
1136C2×C42—131no—
1137C2×C42—131no—
1138C2×C42—131no—
1139C2×C42—131no—
1140C2×C42—131no—
1141C2×C42—131no—
1142C2×C42—131no—
1143C2×C42—131no—
1144C2×C42—131no—
1145C2×C42—131no—
1146C2×C42—131no—
1147C2×C42—131no—
1148C2×C42—131no—
1149C2×C42—131no—
1150C2×C42C22×D1311yescharacteristic
1151C2×C42C22×D1311yescharacteristic
1152C2×C42C22×D1311yescharacteristic
1153C2×C42C22×D1311yescharacteristic
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#95—131no—
1164#95—131no—
1165#95—131no—
1166#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95C22×D1311yescharacteristic
1181#95C22×D1311yescharacteristic
1182#95C22×D1311yescharacteristic
1183#95C22×D1311yescharacteristic
1184#95C22×D1311yescharacteristic
1185#95C22×D1311yescharacteristic
1186#95C22×D1311yescharacteristic
1187#95C22×D1311yescharacteristic
1188#95C22×D1311yescharacteristic
1189#95C22×D1311yescharacteristic
1190C2×C13—42no—
1191C2×C13—42no—
1192C2×C13—42no—
1193C2×C13C4×H(5,𝔽2)11yescharacteristic
1194C2×C13C4×H(5,𝔽2)11yescharacteristic
1195C2×C13C4×H(5,𝔽2)11yescharacteristic
1196C2×C13#353211yescharacteristic
1197C2×C13#353911yescharacteristic
1198C2×C13#353911yescharacteristic
1199C2×C13#354011yescharacteristic
1200D13—42no—
1201D13—42no—
1202D13—42no—
1203C24—131no—
1204C24—131no—
1205C24—131no—
1206C24—134no—
1207C24—521no—
1208C24—521no—
1209C24—521no—
1210C24—521no—
1211C24—521no—
1212C24—521no—
1213C24C23×D1311yescharacteristic
1214C24C23×D1311yescharacteristic
1215C24C23×D1311yescharacteristic
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—134no—
1223C2×D4—134no—
1224C2×D4—134no—
1225C2×D4—134no—
1226C2×D4—134no—
1227C2×D4—134no—
1228C2×D4—134no—
1229C2×D4—134no—
1230C2×D4—134no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C2×D4—521no—
1239C2×D4—521no—
1240C2×D4—521no—
1241C2×D4—521no—
1242C2×D4—521no—
1243C2×D4—521no—
1244C2×D4—521no—
1245C2×D4—521no—
1246C2×D4—521no—
1247C2×D4—521no—
1248C2×D4—521no—
1249C2×D4C2×C4×D1314yes—
1250C2×D4C2×C4×D1314yes—
1251C2×D4C2×C4×D1314yescomplemented
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—131no—
1261C22×C4—131no—
1262C22×C4—131no—
1263C22×C4—131no—
1264C22×C4—131no—
1265C22×C4—131no—
1266C22×C4—131no—
1267C22×C4—134no—
1268C22×C4—134no—
1269C22×C4—131no—
1270C22×C4—131no—
1271C22×C4—131no—
1272C22×C4—131no—
1273C22×C4—131no—
1274C22×C4—131no—
1275C22×C4—262no—
1276C22×C4—262no—
1277C22×C4—262no—
1278C22×C4—262no—
1279C22×C4—262no—
1280C22×C4—262no—
1281C22×C4—262no—
1282C22×C4—262no—
1283C22×C4—262no—
1284C22×C4—262no—
1285C22×C4—262no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4—521no—
1292C22×C4—521no—
1293C22×C4—521no—
1294C22×C4—521no—
1295C22×C4—521no—
1296C22×C4—521no—
1297C22×C4—521no—
1298C22×C4—521no—
1299C22×C4—5216no—
1300C22×C4—521no—
1301C22×C4—521no—
1302C22×C4—521no—
1303C22×C4—521no—
1304C22×C4—521no—
1305C22×C4—521no—
1306C22×C4—521no—
1307C22×C4—521no—
1308C22×C4—521no—
1309C22×C4—521no—
1310C22×C4C2×C4×D1314yescomplemented
1311C22×C4C23×D1311yescharacteristic
1312C22×C4C23×D1311yescharacteristic
1313C22×C4C23×D1311yescharacteristic
1314C22×C4C23×D1311yescharacteristic
1315C22×C4C23×D1311yescharacteristic
1316C22×C4C23×D1311yescharacteristic
1317C22×C4C23×D1311yescharacteristic
1318C22×C4C23×D1311yescharacteristic
1319C22×C4C23×D1311yescharacteristic
1320C22×C4C23×D1311yescharacteristic
1321C22×C4C23×D1311yescharacteristic
1322C22×C4C23×D1311yescharacteristic
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—134no—
1326C4⋊C4—134no—
1327C4⋊C4—134no—
1328C4⋊C4—134no—
1329C4⋊C4—134no—
1330C4⋊C4—262no—
1331C4⋊C4—262no—
1332C4⋊C4—262no—
1333C4⋊C4—262no—
1334C4⋊C4—262no—
1335C4⋊C4—262no—
1336C4⋊C4—521no—
1337C4⋊C4—521no—
1338C4⋊C4—521no—
1339C4⋊C4—521no—
1340C4⋊C4—521no—
1341C4⋊C4—521no—
1342C4⋊C4—521no—
1343C4⋊C4—521no—
1344C4⋊C4—521no—
1345C4⋊C4—521no—
1346C4⋊C4C2×C4×D1314yescomplemented
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—134no—
1358C22⋊C4—134no—
1359C22⋊C4—134no—
1360C22⋊C4—134no—
1361C22⋊C4—134no—
1362C22⋊C4—134no—
1363C22⋊C4—134no—
1364C22⋊C4—134no—
1365C22⋊C4—134no—
1366C22⋊C4—134no—
1367C22⋊C4—262no—
1368C22⋊C4—262no—
1369C22⋊C4—262no—
1370C22⋊C4—262no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C22⋊C4—521no—
1381C22⋊C4—521no—
1382C22⋊C4—521no—
1383C22⋊C4—521no—
1384C22⋊C4—521no—
1385C22⋊C4—521no—
1386C22⋊C4—521no—
1387C22⋊C4—521no—
1388C22⋊C4—521no—
1389C22⋊C4—521no—
1390C22⋊C4—521no—
1391C22⋊C4—521no—
1392C22⋊C4—521no—
1393C22⋊C4C2×C4×D1314yes—
1394C22⋊C4C2×C4×D1314yescomplemented
1395C42—41no—
1396C42—41no—
1397C42—41no—
1398C42—41no—
1399C42—134no—
1400C42—262no—
1401C42—262no—
1402C42—262no—
1403C42—521no—
1404C42—521no—
1405C42—521no—
1406C42—521no—
1407C42—521no—
1408C42—521no—
1409C42—521no—
1410C42—521no—
1411C42—521no—
1412C42—521no—
1413C42—521no—
1414C13#3451111yescharacteristic, complemented, Sylow
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—132no—
1434C23—132no—
1435C23—132no—
1436C23—261no—
1437C23—261no—
1438C23—261no—
1439C23—261no—
1440C23—261no—
1441C23—261no—
1442C23—261no—
1443C23—261no—
1444C23—261no—
1445C23—261no—
1446C23—261no—
1447C23—261no—
1448C23—261no—
1449C23—261no—
1450C23—261no—
1451C23—261no—
1452C23—261no—
1453C23—261no—
1454C23—524no—
1455C23—524no—
1456C23—524no—
1457C23—524no—
1458C23—524no—
1459C23—524no—
1460C23—524no—
1461C23C22×C4×D1312yes—
1462C23C22×C4×D1312yes—
1463C23C22×C4×D1312yes—
1464C23C24×D1311yescharacteristic
1465D4—44no—
1466D4—44no—
1467D4—44no—
1468D4—524no—
1469D4—524no—
1470D4—524no—
1471D4—524no—
1472D4—524no—
1473D4—524no—
1474D4—524no—
1475D4—524no—
1476D4—524no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—82no—
1511C2×C4—132no—
1512C2×C4—132no—
1513C2×C4—132no—
1514C2×C4—132no—
1515C2×C4—132no—
1516C2×C4—132no—
1517C2×C4—132no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—261no—
1533C2×C4—261no—
1534C2×C4—261no—
1535C2×C4—261no—
1536C2×C4—261no—
1537C2×C4—261no—
1538C2×C4—261no—
1539C2×C4—261no—
1540C2×C4—261no—
1541C2×C4—261no—
1542C2×C4—261no—
1543C2×C4—261no—
1544C2×C4—261no—
1545C2×C4—261no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—524no—
1551C2×C4—524no—
1552C2×C4—524no—
1553C2×C4—524no—
1554C2×C4—524no—
1555C2×C4—524no—
1556C2×C4—524no—
1557C2×C4—1042no—
1558C2×C4—1042no—
1559C2×C4—1042no—
1560C2×C4—1042no—
1561C2×C4—1042no—
1562C2×C4C22×C4×D1312yes—
1563C2×C4C22×C4×D1312yes—
1564C2×C4C22×C4×D1312yes—
1565C2×C4C22×C4×D1312yes—
1566C2×C4#8825612yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—262no—
1589C22—262no—
1590C22—262no—
1591C22—262no—
1592C22—262no—
1593C22—262no—
1594C22—262no—
1595C22—262no—
1596C22—262no—
1597C22—5216no—
1598C22—521no—
1599C22—521no—
1600C22—521no—
1601C22—521no—
1602C22—521no—
1603C22—521no—
1604C22—521no—
1605C22—521no—
1606C22—521no—
1607C22—521no—
1608C22—521no—
1609C22—521no—
1610C22C23×C4×D1311yescharacteristic
1611C22C2×#8825611yescharacteristic
1612C22#1171964811yescharacteristic
1613C22D13×H(5,𝔽2)11yescharacteristic
1614C22D13×H(5,𝔽2)11yescharacteristic
1615C22#1171965011yescharacteristic
1616C22#1171965011yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—262no—
1630C4—262no—
1631C4—262no—
1632C4—262no—
1633C4—262no—
1634C4—262no—
1635C4—262no—
1636C4—521no—
1637C4—521no—
1638C4—521no—
1639C4—521no—
1640C4—521no—
1641C4—521no—
1642C2—42no—
1643C2—42no—
1644C2—42no—
1645C2—522no—
1646C2—522no—
1647C2—522no—
1648C2#1312804011yescharacteristic
1649C2#1312804011yescharacteristic
1650C2C4×#8825611yescharacteristic
1651C2#1312898711yescharacteristic
1652C2#1312908811yescharacteristic
1653C2#1312909511yescharacteristic
1654C2#1312910711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2333C2
socle, cosocleC23×C13C25
prime radicalC2×#11719325C2
hypercenter#2333D13
hypocenterC13#34511
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #13117976C2semidirect
3. #13117974C2semidirect
4. #13117973C2semidirect
5. #13117967C2semidirect
6. #13117963C2semidirect
7. #13117962C2semidirect
8. #13117897C2semidirect
9. #13117887C2semidirect
10. #13117884C2semidirect
11. #13117879C2semidirect
12. #13117871C2semidirect
13. #13117856C2semidirect
14. #13117850C2semidirect
15. #13117835C2semidirect
16. #13117830C2semidirect
17. #13117632C2semidirect
18. #13117631C2semidirect
19. #13117616C2semidirect
20. #13117613C2semidirect
21. #13117598C2semidirect
22. #13117557C2semidirect
23. #13117538C2semidirect
24. #13117537C2semidirect
25. #13117526C2semidirect
26. #13117524C2semidirect
27. #13117502C2semidirect
28. #13117341C2semidirect
29. #13117341C2semidirect
30. C4×#88136C2semidirect
31. C13×#2333C2semidirect
42. C2×D4×Dic13C22semidirect
46. C2×C4×C22⋊D13C22semidirect
47. C22×C4⋊Dic13C22semidirect
48. #11719325C4semidirect
51. C2×#88146C22semidirect
59. C2×#88135C22semidirect
61. C2×#88131C22semidirect
65. C13×#390C22semidirect
67. C13×#388C22semidirect
68. C13×#387C22semidirect
69. C13×#387C22semidirect
73. C13×#386C22semidirect
74. C13×#381C22semidirect
76. C4×C13×C22⋊C4C22semidirect
77. C4×C13×C22⋊C4C22semidirect
80. #11718881C22semidirect
85. C4×C22⋊Dic13C22semidirect
86. C2×#88071C22semidirect
91. #11718646C22semidirect
92. C4⋊C4×Dic13C22semidirect
93. C4⋊C4×Dic13C22semidirect
94. #11718634C22semidirect
95. #11718633C22semidirect
99. #11718619C22semidirect
100. #11718619C22semidirect
106. #11718618C22semidirect
107. #11718618C22semidirect
113. #11718617C22semidirect
114. #11718617C22semidirect
119. #11718612C22semidirect
121. #11718611C22semidirect
122. #11718607C22semidirect
125. #11718606C22semidirect
128. #11718605C22semidirect
129. #11718603C22semidirect
132. C22⋊C4×Dic13C22semidirect
133. C22⋊C4×Dic13C22semidirect
140. C4×#6103C22semidirect
141. C4×C4⋊Dic13C22semidirect
142. C4×C4⋊Dic13C22semidirect
143. #11718594C22semidirect
144. C4×#6101C22semidirect
145. C4×#6101C22semidirect
146. C4×#6101C22semidirect
147. #11718589C22semidirect
151. #11718331C22semidirect
155. #11718330C22semidirect
162. #11718329C22semidirect
163. #11718328C22semidirect
168. #11718327C22semidirect
173. D13×#95C22semidirect
174. #11718316C22semidirect
175. #11718316C22semidirect
176. #11718316C22semidirect
177. #11718315C22semidirect
178. #11718314C22semidirect
179. #11718314C22semidirect
180. #11718314C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718311C22semidirect
184. #11718310C22semidirect
185. #11718309C22semidirect
186. #11718308C22semidirect
187. #11718308C22semidirect
219. C13×#121C2×C4semidirect
250. #88194C2×C4semidirect
251. #88193C2×C4semidirect
252. #88193C2×C4semidirect
253. #88192C2×C4semidirect
254. #88191C2×C4semidirect
255. #88191C2×C4semidirect
259. #88184C2×C4semidirect
260. #88183C2×C4semidirect
325. #88152C2×C4semidirect
326. #88148C2×C4semidirect
328. #88140C2×C4semidirect
329. #88138C2×C4semidirect
330. #88136C2×C4semidirect
336. #88133C2×C4semidirect
398. C2×D4×C13C22×C4semidirect
407. C22×C4×C13C22×C4semidirect
439. C2×C22⋊D13C22×C4semidirect
440. C2×C22⋊D13C22×C4semidirect
455. C22×Dic13C22×C4semidirect
496. C2×C4×D13C22×C4semidirect
499. C13×C4⋊C4C22×C4semidirect
511. C13×C22⋊C4C22×C4semidirect
526. C22⋊Dic13C22×C4semidirect
551. #6103C22×C4semidirect
558. C4⋊Dic13C22×C4semidirect
559. C4⋊Dic13C22×C4semidirect
570. #6101C22×C4semidirect
571. #6101C22×C4semidirect
572. #6101C22×C4semidirect
587. C4×Dic13C22×C4semidirect
609. #2333D13semidirect
814. #390C2×D13semidirect
844. #388C2×D13semidirect
855. #387C2×D13semidirect
856. #387C2×D13semidirect
880. #386C2×D13semidirect
894. #381C2×D13semidirect
922. C4×C22⋊C4C2×D13semidirect
923. C4×C22⋊C4C2×D13semidirect
1044. #121C4×D13semidirect
1251. C2×D4C2×C4×D13semidirect
1310. C22×C4C2×C4×D13semidirect
1346. C4⋊C4C2×C4×D13semidirect
1394. C22⋊C4C2×C4×D13semidirect
1414. C13#34511semidirect

Maximal subgroups

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

subgroupindex
C2×#117193252
#131179762
#131179742
#131179732
#131179672
#131179632
#131179622
#131178972
#131178872
#131178842
#131178792
#131178712
#131178562
#131178502
#131178352
#131178302
#131176322
#131176312
#131176162
#131176132
#131175982
#131175572
#131175382
#131175372
#131175262
#131175242
#131175022
#131173412
C4×#881362
C13×#23332
#3451113