Finite Group Databasebeta

← #16028728

Subgroups — #16028728

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#13117973C211yesmaximal, characteristic, complemented
4#13117973C211yesmaximal, characteristic, complemented
5#13117966C211yesmaximal, characteristic, complemented
6#13117959C211yesmaximal, characteristic, complemented
7#13117958C211yesmaximal, characteristic, complemented
8#13117897C211yesmaximal, characteristic, complemented
9#13117886C211yesmaximal, characteristic, complemented
10#13117885C211yesmaximal, characteristic, complemented
11#13117875C211yesmaximal, characteristic, complemented
12#13117853C211yesmaximal, characteristic, complemented
13#13117847C211yesmaximal, characteristic, complemented
14#13117833C211yesmaximal, characteristic, complemented
15#13117828C211yesmaximal, characteristic, complemented
16#13117629C211yesmaximal, characteristic, complemented
17#13117626C211yesmaximal, characteristic, complemented
18#13117608C211yesmaximal, characteristic, complemented
19#13117605C211yesmaximal, characteristic, complemented
20#13117595C211yesmaximal, characteristic, complemented
21#13117595C211yesmaximal, characteristic, complemented
22#13117557C211yesmaximal, characteristic, complemented
23#13117541C211yesmaximal, characteristic, complemented
24#13117540C211yesmaximal, characteristic, complemented
25#13117532C211yesmaximal, characteristic, complemented
26#13117529C211yesmaximal, characteristic, complemented
27#13117507C211yesmaximal, characteristic, complemented
28#13117341C211yesmaximal, characteristic, complemented
29C4×#88136C211yesmaximal, characteristic, complemented
30C4×#88191C211yesmaximal, characteristic, complemented
31C13×#2363C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#121C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×C13×#117C2211yescharacteristic, complemented
36C2×#88194C2211yescharacteristic
37C2×#88193C2211yescharacteristic
38C2×#88193C2211yescharacteristic
39C2×#88192C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×D4×Dic13C2211yescharacteristic, complemented
44C2×#88184C2211yescharacteristic
45C2×#88183C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic
49C22×#6101C2211yescharacteristic, complemented
50#11719325C4116yescomplemented
51C2×#88152C2211yescharacteristic
52C2×#88148C2211yescharacteristic
53C2×#88140C2211yescharacteristic
54C2×#88138C2211yescharacteristic
55C2×#88136C2211yescharacteristic
56C2×#88135C2211yescharacteristic
57C2×#88135C2211yescharacteristic
58C2×#88135C2211yescharacteristic, complemented
59C2×#88135C2211yescharacteristic, complemented
60C2×#88133C2211yescharacteristic
61C2×C4×D52C2211yescharacteristic
62C2×C4×D52C2211yescharacteristic
63C2×#88126C2211yescharacteristic, complemented
64C13×#390C2211yescharacteristic
65C13×#390C2211yescharacteristic
66C13×#390C2211yescharacteristic, complemented
67C13×#389C2211yescharacteristic, complemented
68C13×#388C2211yescharacteristic
69C13×#388C2211yescharacteristic, complemented
70C13×#386C2211yescharacteristic
71C13×#386C2211yescharacteristic, complemented
72C4×C13×C4⋊C4C2211yescharacteristic, complemented
73C4×C13×C22⋊C4C2211yescharacteristic
74C4×C13×C22⋊C4C2211yescharacteristic, complemented
75C4×C13×C22⋊C4C2211yescharacteristic, complemented
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic, complemented
80#11718874C2211yescharacteristic, complemented
81#11718873C2211yescharacteristic, complemented
82#11718871C2211yescharacteristic
83C4×C22⋊Dic13C2211yescharacteristic
84C2×#88071C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic
86#11718651C2211yescharacteristic
87#11718651C2211yescharacteristic
88#11718651C2211yescharacteristic
89#11718651C2211yescharacteristic
90#11718651C2211yescharacteristic, complemented
91#11718650C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718650C2211yescharacteristic, complemented
94#11718649C2211yescharacteristic
95#11718648C2211yescharacteristic, complemented
96#11718642C2211yescharacteristic, complemented
97#11718642C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718639C2211yescharacteristic, complemented
100C4⋊C4×Dic13C2211yescharacteristic, complemented
101C4⋊C4×Dic13C2211yescharacteristic, complemented
102#11718633C2211yescharacteristic, complemented
103#11718619C2211yescharacteristic
104#11718619C2211yescharacteristic
105#11718619C2211yescharacteristic
106#11718619C2211yescharacteristic
107#11718619C2211yescharacteristic
108#11718619C2211yescharacteristic, complemented
109#11718618C2211yescharacteristic
110#11718618C2211yescharacteristic
111#11718618C2211yescharacteristic
112#11718618C2211yescharacteristic
113#11718618C2211yescharacteristic
114#11718618C2211yescharacteristic, complemented
115#11718618C2211yescharacteristic, complemented
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic, complemented
122#11718617C2211yescharacteristic, complemented
123#11718616C2211yescharacteristic
124#11718616C2211yescharacteristic
125#11718616C2211yescharacteristic
126#11718612C2211yescharacteristic
127#11718612C2211yescharacteristic, complemented
128#11718611C2211yescharacteristic
129#11718611C2211yescharacteristic, complemented
130#11718607C2211yescharacteristic
131#11718607C2211yescharacteristic, complemented
132#11718606C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic
134#11718605C2211yescharacteristic
135#11718605C2211yescharacteristic
136#11718605C2211yescharacteristic
137#11718605C2211yescharacteristic, complemented
138#11718604C2211yescharacteristic, complemented
139C22⋊C4×Dic13C2211yescharacteristic
140C22⋊C4×Dic13C2211yescharacteristic, complemented
141C22⋊C4×Dic13C2211yescharacteristic, complemented
142C22⋊C4×Dic13C2211yescharacteristic, complemented
143#11718601C2211yescharacteristic
144#11718601C2211yescharacteristic
145#11718601C2211yescharacteristic
146#11718601C2211yescharacteristic
147#11718601C2211yescharacteristic
148#11718601C2211yescharacteristic, complemented
149#11718600C2211yescharacteristic
150C4×#6103C2211yescharacteristic
151C4×#6103C2211yescharacteristic
152C4×#6103C2211yescharacteristic
153C4×#6103C2211yescharacteristic
154C4×#6103C2211yescharacteristic, complemented
155C4×C4⋊Dic13C2211yescharacteristic, complemented
156#11718594C2211yescharacteristic, complemented
157#11718594C2211yescharacteristic, complemented
158#11718594C2211yescharacteristic, complemented
159C4×#6101C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C4×#6101C2211yescharacteristic, complemented
162#11718589C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic
165#11718330C2211yescharacteristic
166#11718329C2211yescharacteristic
167#11718329C2211yescharacteristic
168#11718329C2211yescharacteristic
169#11718329C2211yescharacteristic
170#11718327C2211yescharacteristic
171#11718327C2211yescharacteristic
172#11718327C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic
176#11718326C2211yescharacteristic
177D13×#95C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, 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
220C4×D4×C13—42no—
221C13×#117—42no—
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256#88194C2×C418yescomplemented
257#88193C2×C418yescomplemented
258#88193C2×C418yescomplemented
259#88192C2×C418yescomplemented
260#88191C2×C418yescomplemented
261#88191C2×C418yescomplemented
262D4×Dic13—42no—
263D4×Dic13—42no—
264#88184C2×C418yescomplemented
265#88183C2×C418yescomplemented
266C4×C22⋊D13—42no—
267C4×C22⋊D13—42no—
268C4×C22⋊D13—42no—
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×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×#6101—42no—
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
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
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327#88152C2×C418yescomplemented
328#88148C2×C418yescomplemented
329#88140C2×C418yescomplemented
330#88138C2×C418yescomplemented
331#88136C2×C418yescomplemented
332#88135—42no—
333#88135—42no—
334#88135—42no—
335#88135—42no—
336#88133C2×C418yescomplemented
337C4×D52—42no—
338C4×D52—42no—
339#88126—42no—
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#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—22no—
401C22×C4×C13—22no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×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—41no—
444C22×Dic13—41no—
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—22no—
498C13×C4⋊C4—41no—
499C13×C4⋊C4—41no—
500C13×C4⋊C4—41no—
501C13×C4⋊C4C22×C414yescomplemented
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
511C13×C22⋊C4—41no—
512C13×C22⋊C4C22×C414yes—
513C13×C22⋊C4C22×C414yescomplemented
514C42×C13—22no—
515C42×C13—41no—
516C42×C13—41no—
517C42×C13—41no—
518C42×C13—41no—
519C42×C13—41no—
520C22⋊Dic13—22no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13C22×C414yes—
529C22⋊Dic13C22×C414yes—
530C22⋊Dic13C22×C414yescomplemented
531#6103—22no—
532#6103—22no—
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#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103C22×C414yes—
550#6103C22×C414yes—
551#6103C22×C414yes—
552#6103C22×C414yes—
553#6103C22×C414yes—
554#6103C22×C414yes—
555#6103C22×C414yescomplemented
556C4⋊Dic13—22no—
557C4⋊Dic13—41no—
558C4⋊Dic13—41no—
559C4⋊Dic13—41no—
560C4⋊Dic13C22×C414yescomplemented
561C4⋊Dic13C22×C414yescomplemented
562#6101—22no—
563#6101—22no—
564#6101—22no—
565#6101—22no—
566#6101—41no—
567#6101—41no—
568#6101—41no—
569#6101—41no—
570#6101—41no—
571#6101—41no—
572#6101C22×C414yescomplemented
573#6101C22×C414yescomplemented
574#6101C22×C414yescomplemented
575C4×Dic13—22no—
576C4×Dic13—22no—
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#2363D1311yescharacteristic, complemented
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#2333—131no—
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—44no—
703C2×C4×C13—44no—
704C2×C4×C13—82no—
705C2×C4×C13C23×C412yes—
706C2×C4×C13C23×C412yes—
707C2×C4×C13C23×C412yes—
708C2×C4×C13C23×C412yes—
709C2×C4×C13H(5,𝔽2)12yes—
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—21no—
751C2×Dic13—44no—
752C2×Dic13—44no—
753C2×Dic13—82no—
754C2×Dic13—82no—
755C2×Dic13—82no—
756C2×Dic13C23×C412yes—
757C2×Dic13C23×C412yes—
758C2×Dic13C23×C412yes—
759C2×Dic13C23×C412yes—
760C2×Dic13C23×C412yes—
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×D4C2×D1311yescharacteristic
800C2×#117—131no—
801C2×#117C2×D1311yescharacteristic, complemented
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#390C2×D1311yescharacteristic
813#390C2×D1311yescharacteristic
814#390C2×D1311yescharacteristic, complemented
815#389—131no—
816#389—131no—
817#389—131no—
818#389—131no—
819#389—131no—
820#389C2×D1311yescharacteristic, complemented
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#387—131no—
856#387—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#386—131no—
875#386—131no—
876#386—131no—
877#386—131no—
878#386—131no—
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#381—131no—
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⋊C4C2×D1311yescharacteristic, complemented
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—22no—
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—41no—
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—42no—
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—42no—
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—522no—
1082C2×C4⋊C4C22×D1311yescharacteristic
1083C2×C4⋊C4C22×D1311yescharacteristic
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×C42C22×D1311yescharacteristic
1149C2×C42C22×D1311yescharacteristic
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#95—131no—
1181#95—131no—
1182#95—131no—
1183#95—131no—
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—22no—
1254C22×C4—22no—
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—134no—
1267C22×C4—134no—
1268C22×C4—131no—
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—521no—
1285C22×C4—521no—
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—5216no—
1298C22×C4—521no—
1299C22×C4—521no—
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—22no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—134no—
1328C4⋊C4—134no—
1329C4⋊C4—134no—
1330C4⋊C4—134no—
1331C4⋊C4—134no—
1332C4⋊C4—262no—
1333C4⋊C4—262no—
1334C4⋊C4—262no—
1335C4⋊C4—262no—
1336C4⋊C4—262no—
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—22no—
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—521no—
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—22no—
1396C42—41no—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—134no—
1402C42—262no—
1403C42—262no—
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—44no—
1508C2×C4—44no—
1509C2×C4—82no—
1510C2×C4—132no—
1511C2×C4—132no—
1512C2×C4—132no—
1513C2×C4—132no—
1514C2×C4—132no—
1515C2×C4—132no—
1516C2×C4—261no—
1517C2×C4—261no—
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—524no—
1550C2×C4—524no—
1551C2×C4—524no—
1552C2×C4—524no—
1553C2×C4—524no—
1554C2×C4—524no—
1555C2×C4—524no—
1556C2×C4—1042no—
1557C2×C4—1042no—
1558C2×C4—1042no—
1559C2×C4—1042no—
1560C2×C4—1042no—
1561C2×C4C22×C4×D1312yes—
1562C2×C4C22×C4×D1312yes—
1563C2×C4C22×C4×D1312yes—
1564C2×C4C22×C4×D1312yes—
1565C2×C4#8825112yes—
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×#8825111yescharacteristic
1612C22C2×#8825611yescharacteristic
1613C22#1171964811yescharacteristic
1614C22#1171964811yescharacteristic
1615C22D13×H(5,𝔽2)11yescharacteristic
1616C22#1171965011yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
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—521no—
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
1649C2C4×#8825111yescharacteristic
1650C2C4×#8825611yescharacteristic
1651C2#1312898511yescharacteristic
1652C2#1312908611yescharacteristic
1653C2#1312908711yescharacteristic
1654C2#1312910611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2363C2
socle, cosocleC23×C13C25
prime radicalC2×#11719325C2
hypercenter#2363D13
hypocenterC13#34511
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2363

Complements

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

NH ≅ G/Ntype
2. #13117976C2semidirect
3. #13117973C2semidirect
4. #13117973C2semidirect
5. #13117966C2semidirect
6. #13117959C2semidirect
7. #13117958C2semidirect
8. #13117897C2semidirect
9. #13117886C2semidirect
10. #13117885C2semidirect
11. #13117875C2semidirect
12. #13117853C2semidirect
13. #13117847C2semidirect
14. #13117833C2semidirect
15. #13117828C2semidirect
16. #13117629C2semidirect
17. #13117626C2semidirect
18. #13117608C2semidirect
19. #13117605C2semidirect
20. #13117595C2semidirect
21. #13117595C2semidirect
22. #13117557C2semidirect
23. #13117541C2semidirect
24. #13117540C2semidirect
25. #13117532C2semidirect
26. #13117529C2semidirect
27. #13117507C2semidirect
28. #13117341C2semidirect
29. C4×#88136C2semidirect
30. C4×#88191C2semidirect
31. C13×#2363C2semidirect
35. C2×C13×#117C22semidirect
43. C2×D4×Dic13C22semidirect
49. C22×#6101C22semidirect
50. #11719325C4semidirect
58. C2×#88135C22semidirect
59. C2×#88135C22semidirect
63. C2×#88126C22semidirect
66. C13×#390C22semidirect
67. C13×#389C22semidirect
69. C13×#388C22semidirect
71. C13×#386C22semidirect
72. C4×C13×C4⋊C4C22semidirect
74. C4×C13×C22⋊C4C22semidirect
75. C4×C13×C22⋊C4C22semidirect
79. #11718881C22semidirect
80. #11718874C22semidirect
81. #11718873C22semidirect
84. C2×#88071C22semidirect
90. #11718651C22semidirect
93. #11718650C22semidirect
95. #11718648C22semidirect
96. #11718642C22semidirect
97. #11718642C22semidirect
98. #11718639C22semidirect
99. #11718639C22semidirect
100. C4⋊C4×Dic13C22semidirect
101. C4⋊C4×Dic13C22semidirect
102. #11718633C22semidirect
108. #11718619C22semidirect
114. #11718618C22semidirect
115. #11718618C22semidirect
121. #11718617C22semidirect
122. #11718617C22semidirect
127. #11718612C22semidirect
129. #11718611C22semidirect
131. #11718607C22semidirect
132. #11718606C22semidirect
137. #11718605C22semidirect
138. #11718604C22semidirect
140. C22⋊C4×Dic13C22semidirect
141. C22⋊C4×Dic13C22semidirect
142. C22⋊C4×Dic13C22semidirect
148. #11718601C22semidirect
154. C4×#6103C22semidirect
155. C4×C4⋊Dic13C22semidirect
156. #11718594C22semidirect
157. #11718594C22semidirect
158. #11718594C22semidirect
159. C4×#6101C22semidirect
160. C4×#6101C22semidirect
161. C4×#6101C22semidirect
162. #11718589C22semidirect
163. #11718589C22semidirect
172. #11718327C22semidirect
177. D13×#95C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718314C22semidirect
181. #11718314C22semidirect
182. #11718314C22semidirect
183. #11718311C22semidirect
184. #11718310C22semidirect
185. #11718309C22semidirect
186. #11718308C22semidirect
187. #11718308C22semidirect
219. C13×#121C2×C4semidirect
256. #88194C2×C4semidirect
257. #88193C2×C4semidirect
258. #88193C2×C4semidirect
259. #88192C2×C4semidirect
260. #88191C2×C4semidirect
261. #88191C2×C4semidirect
264. #88184C2×C4semidirect
265. #88183C2×C4semidirect
327. #88152C2×C4semidirect
328. #88148C2×C4semidirect
329. #88140C2×C4semidirect
330. #88138C2×C4semidirect
331. #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
501. C13×C4⋊C4C22×C4semidirect
513. C13×C22⋊C4C22×C4semidirect
530. C22⋊Dic13C22×C4semidirect
555. #6103C22×C4semidirect
560. C4⋊Dic13C22×C4semidirect
561. C4⋊Dic13C22×C4semidirect
572. #6101C22×C4semidirect
573. #6101C22×C4semidirect
574. #6101C22×C4semidirect
587. C4×Dic13C22×C4semidirect
599. #2363D13semidirect
801. C2×#117C2×D13semidirect
814. #390C2×D13semidirect
820. #389C2×D13semidirect
844. #388C2×D13semidirect
880. #386C2×D13semidirect
907. C4×C4⋊C4C2×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
#131179732
#131179662
#131179592
#131179582
#131178972
#131178862
#131178852
#131178752
#131178532
#131178472
#131178332
#131178282
#131176292
#131176262
#131176082
#131176052
#131175952
#131175572
#131175412
#131175402
#131175322
#131175292
#131175072
#131173412
C4×#881362
C4×#881912
C13×#23632
#3451113