Finite Group Databasebeta

← #16022804

Subgroups — #16022804

Order 3328.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719410C211yesmaximal, characteristic
2#13117970C211yesmaximal, characteristic, complemented
3#13117951C211yesmaximal, characteristic, complemented
4#13117944C211yesmaximal, characteristic, complemented
5#13117920C211yesmaximal, characteristic, complemented
6#13117918C211yesmaximal, characteristic, complemented
7#13117833C211yesmaximal, characteristic, complemented
8#13117823C211yesmaximal, characteristic, complemented
9#13117814C211yesmaximal, characteristic
10#13117777C211yesmaximal, characteristic, complemented
11#13117775C211yesmaximal, characteristic, complemented
12#13117699C211yesmaximal, characteristic, complemented
13#13117691C211yesmaximal, characteristic, complemented
14#13117684C211yesmaximal, characteristic, complemented
15#13117680C211yesmaximal, characteristic, complemented
16#13117390C211yesmaximal, characteristic, complemented
17#126×Dic13C211yesmaximal, characteristic, complemented
18#13117377C211yesmaximal, characteristic, complemented
19#13117370C211yesmaximal, characteristic, complemented
20#13117366C211yesmaximal, characteristic, complemented
21#13117363C211yesmaximal, characteristic, complemented
22#13117357C211yesmaximal, characteristic, complemented
23#13117357C211yesmaximal, characteristic, complemented
24#13117337C211yesmaximal, characteristic
25C4×#88147C211yesmaximal, characteristic, complemented
26C4×#88147C211yesmaximal, characteristic, complemented
27C4×#88146C211yesmaximal, characteristic, complemented
28#13117175C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2373C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic
34#11719410C4116yescomplemented
35C2×#88151C2211yescharacteristic
36C2×#88150C2211yescharacteristic
37C2×#88148C2211yescharacteristic
38C2×#88148C2211yescharacteristic
39C2×#88147C2211yescharacteristic
40C2×#88147C2211yescharacteristic
41C2×#88147C2211yescharacteristic
42C2×#88147C2211yescharacteristic
43C2×#88146C2211yescharacteristic
44C2×#88146C2211yescharacteristic
45C2×#88141C2211yescharacteristic, complemented
46C2×#88139C2211yescharacteristic
47C2×#88137C2211yescharacteristic
48C2×#88136C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×#88133C2211yescharacteristic
55C2×C4×D52C2211yescharacteristic
56C2×C4×D52C2211yescharacteristic
57C2×#88126C2211yescharacteristic
58C2×#88126C2211yescharacteristic
59C2×C42×D13C2211yescharacteristic
60C2×C42×D13C2211yescharacteristic
61C2×C42×D13C2211yescharacteristic
62C2×C42×D13C2211yescharacteristic
63C2×C42×D13C2211yescharacteristic, complemented
64C13×#389C2211yescharacteristic, complemented
65C13×#388C2211yescharacteristic
66C13×#388C2211yescharacteristic
67C13×#388C2211yescharacteristic
68C13×#387C2211yescharacteristic, complemented
69C13×#387C2211yescharacteristic, complemented
70C13×#387C2211yescharacteristic, complemented
71C13×#385C2211yescharacteristic
72C4×C13×C4⋊C4C2211yescharacteristic, complemented
73C4×C13×C4⋊C4C2211yescharacteristic, complemented
74C4×C13×C4⋊C4C2211yescharacteristic, complemented
75C4×C13×C22⋊C4C2211yescharacteristic
76C4×C13×C22⋊C4C2211yescharacteristic
77C13×#376C2211yescharacteristic, complemented
78#11718874C2211yescharacteristic
79C4×C22⋊Dic13C2211yescharacteristic
80C4×C22⋊Dic13C2211yescharacteristic
81#11718651C2211yescharacteristic, complemented
82#11718650C2211yescharacteristic
83#11718650C2211yescharacteristic
84#11718650C2211yescharacteristic
85#11718650C2211yescharacteristic
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic, complemented
88#11718648C2211yescharacteristic
89#11718642C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718639C2211yescharacteristic, complemented
93#11718639C2211yescharacteristic, complemented
94#11718639C2211yescharacteristic, complemented
95C4⋊C4×Dic13C2211yescharacteristic, complemented
96C4⋊C4×Dic13C2211yescharacteristic, complemented
97C4⋊C4×Dic13C2211yescharacteristic, complemented
98C4⋊C4×Dic13C2211yescharacteristic, complemented
99C4⋊C4×Dic13C2211yescharacteristic, complemented
100C4⋊C4×Dic13C2211yescharacteristic, complemented
101C4⋊C4×Dic13C2211yescharacteristic, complemented
102#11718618C2211yescharacteristic
103#11718617C2211yescharacteristic
104#11718616C2211yescharacteristic
105#11718612C2211yescharacteristic
106#11718612C2211yescharacteristic
107#11718612C2211yescharacteristic
108#11718606C2211yescharacteristic
109#11718606C2211yescharacteristic
110#11718605C2211yescharacteristic
111#11718605C2211yescharacteristic
112C22⋊C4×Dic13C2211yescharacteristic
113C22⋊C4×Dic13C2211yescharacteristic
114C22⋊C4×Dic13C2211yescharacteristic
115C22⋊C4×Dic13C2211yescharacteristic
116C22⋊C4×Dic13C2211yescharacteristic
117#11718601C2211yescharacteristic, complemented
118#11718601C2211yescharacteristic, complemented
119#11718601C2211yescharacteristic, complemented
120C4×#6103C2211yescharacteristic
121C4×#6103C2211yescharacteristic
122C4×#6103C2211yescharacteristic
123C4×#6103C2211yescharacteristic
124C4×#6103C2211yescharacteristic
125C4×#6103C2211yescharacteristic
126C4×#6103C2211yescharacteristic
127C4×#6103C2211yescharacteristic
128C4×#6103C2211yescharacteristic, complemented
129C4×#6103C2211yescharacteristic, complemented
130#11718598C2211yescharacteristic, complemented
131C4×C4⋊Dic13C2211yescharacteristic, complemented
132#11718594C2211yescharacteristic, complemented
133#11718594C2211yescharacteristic, complemented
134#11718594C2211yescharacteristic, complemented
135#11718593C2211yescharacteristic, complemented
136C42×Dic13C2211yescharacteristic, complemented
137C42×Dic13C2211yescharacteristic, complemented
138C42×Dic13C2211yescharacteristic, complemented
139#11718590C2211yescharacteristic, complemented
140#11718331C2211yescharacteristic, complemented
141#11718331C2211yescharacteristic, complemented
142#11718329C2211yescharacteristic
143#11718329C2211yescharacteristic
144#11718329C2211yescharacteristic
145#11718328C2211yescharacteristic
146#11718327C2211yescharacteristic
147#11718327C2211yescharacteristic
148#11718327C2211yescharacteristic
149#11718327C2211yescharacteristic
150#11718327C2211yescharacteristic
151#11718327C2211yescharacteristic
152#11718327C2211yescharacteristic
153#11718327C2211yescharacteristic
154#11718327C2211yescharacteristic
155#11718327C2211yescharacteristic
156#11718327C2211yescharacteristic, complemented
157#11718327C2211yescharacteristic, complemented
158#11718327C2211yescharacteristic, complemented
159#11718327C2211yescharacteristic, complemented
160#11718327C2211yescharacteristic, complemented
161#11718326C2211yescharacteristic
162#11718326C2211yescharacteristic
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718325C2211yescharacteristic
166#11718325C2211yescharacteristic
167#11718325C2211yescharacteristic, complemented
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172#11718315C2211yescharacteristic, complemented
173#11718315C2211yescharacteristic, complemented
174#11718315C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718312C2211yescharacteristic, complemented
177#11718311C2211yescharacteristic, complemented
178#11718310C2211yescharacteristic, complemented
179#11718310C2211yescharacteristic, complemented
180#11718310C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718309C2211yescharacteristic, complemented
184#11718309C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C22×C22⋊D13C2311yescharacteristic
191C23×Dic13C2311yescharacteristic
192C22×D52C2311yescharacteristic
193C22×D52C2311yescharacteristic
194C22×C4×D13—24no—
195C22×C4×D13—24no—
196C22×C4×D13—42no—
197C22×C4×D13C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C22×C4×D13C2311yescharacteristic
200C22×C4×D13C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#126C2×C418yescomplemented
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C42×C13C2311yescharacteristic
229C2×C42×C13C2311yescharacteristic
230C2×C42×C13C2311yescharacteristic
231C2×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×#6103C2311yescharacteristic
242C2×#6103C2311yescharacteristic
243C2×#6103C2311yescharacteristic
244C2×#6103C2311yescharacteristic
245C2×#6103C2311yescharacteristic
246C2×#6103C2311yescharacteristic
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×C4⋊Dic13C2311yescharacteristic
265C2×C4⋊Dic13C2311yescharacteristic
266C2×C4⋊Dic13C2311yescharacteristic
267C2×C4⋊Dic13C2311yescharacteristic
268C2×C4⋊Dic13C2311yescharacteristic
269C2×#6101C2311yescharacteristic
270C2×#6101C2311yescharacteristic
271C2×#6101C2311yescharacteristic
272C2×#6101C2311yescharacteristic
273C2×#6101C2311yescharacteristic
274C2×#6101C2311yescharacteristic
275C2×#6101C2311yescharacteristic
276C2×#6101C2311yescharacteristic
277C2×#6101C2311yescharacteristic
278C2×C4×Dic13C2311yescharacteristic
279C2×C4×Dic13C2311yescharacteristic
280C2×C4×Dic13C2311yescharacteristic
281C2×C4×Dic13C2311yescharacteristic
282C2×C4×Dic13C2311yescharacteristic
283C2×C4×Dic13C2311yescharacteristic
284C2×C4×Dic13C2311yescharacteristic
285C2×C4×Dic13C2311yescharacteristic
286C2×C4×Dic13C2311yescharacteristic
287C2×C4×Dic13C2311yescharacteristic
288C2×C4×Dic13C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303#88151C2×C418yescomplemented
304#88150C2×C418yescomplemented
305#88148C2×C418yescomplemented
306#88148C2×C418yescomplemented
307#88147—24no—
308#88147—24no—
309#88147—24no—
310#88147C2×C418yescomplemented
311#88146—24no—
312#88146C2×C418yescomplemented
313#88141—42no—
314#88139C2×C418yescomplemented
315#88137C2×C418yescomplemented
316#88136C2×C418yes—
317#88135—42no—
318C22⋊C4×D13—24no—
319C22⋊C4×D13—24no—
320C22⋊C4×D13C2×C418yescomplemented
321C22⋊C4×D13C2×C418yescomplemented
322#88133C2×C418yescomplemented
323C4×D52—24no—
324C4×D52C2×C418yescomplemented
325#88126—24no—
326#88126C2×C418yescomplemented
327C42×D13—24no—
328C42×D13—24no—
329C42×D13—42no—
330C42×D13—42no—
331C42×D13—42no—
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
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
376C4×#551—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C23×D13—22no—
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13C22×C414yes—
385C23×D13C2411yescharacteristic
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—41no—
391C22×C4×C13C2411yescharacteristic
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C2×C22⋊D13—41no—
406C2×C22⋊D13—41no—
407C2×C22⋊D13C22×C414yes—
408C22×Dic13—22no—
409C22×Dic13—22no—
410C22×Dic13—22no—
411C22×Dic13C2411yescharacteristic
412C22×Dic13C2411yescharacteristic
413C22×Dic13C2411yescharacteristic
414C22×Dic13C2411yescharacteristic
415C22×Dic13C2411yescharacteristic
416C22×Dic13C2411yescharacteristic
417C22×Dic13C2411yescharacteristic
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C22×Dic13C2411yescharacteristic
421C22×Dic13C2411yescharacteristic
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424C2×D52—22no—
425C2×D52—22no—
426C2×D52—22no—
427C2×D52—22no—
428C2×D52C22×C414yes—
429C2×D52C22×C414yes—
430C2×C4×D13—22no—
431C2×C4×D13—22no—
432C2×C4×D13—22no—
433C2×C4×D13—22no—
434C2×C4×D13—22no—
435C2×C4×D13—22no—
436C2×C4×D13—22no—
437C2×C4×D13—22no—
438C2×C4×D13—22no—
439C2×C4×D13—22no—
440C2×C4×D13—22no—
441C2×C4×D13—22no—
442C2×C4×D13—22no—
443C2×C4×D13—22no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
446C2×C4×D13—22no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—22no—
451C2×C4×D13—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—416no—
456C2×C4×D13—41no—
457C2×C4×D13—41no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
462C2×C4×D13—41no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13C22×C414yes—
470C2×C4×D13C22×C414yes—
471C2×C4×D13C22×C414yes—
472C2×C4×D13C22×C414yes—
473C2×C4×D13C22×C414yescomplemented
474C2×C4×D13#4114yes—
475C2×C4×D13#4114yes—
476C2×Dic26—41no—
477C2×Dic26—41no—
478C2×Dic26C22×C414yescomplemented
479C13×C4⋊C4—22no—
480C13×C4⋊C4—22no—
481C13×C4⋊C4—22no—
482C13×C4⋊C4—22no—
483C13×C4⋊C4—41no—
484C13×C4⋊C4C22×C414yescomplemented
485C13×C4⋊C4C22×C414yescomplemented
486C13×C4⋊C4C22×C414yescomplemented
487C13×C22⋊C4—22no—
488C13×C22⋊C4—22no—
489C13×C22⋊C4—41no—
490C13×C22⋊C4C22×C414yes—
491C13×C22⋊C4C22×C414yes—
492C13×C22⋊C4C22×C414yes—
493C42×C13—22no—
494C42×C13—22no—
495C42×C13—22no—
496C42×C13—22no—
497C42×C13—41no—
498C42×C13—41no—
499C42×C13—41no—
500C42×C13C22×C414yescomplemented
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—41no—
504C22⋊Dic13C22×C414yes—
505C22⋊Dic13C22×C414yes—
506#6103—22no—
507#6103—22no—
508#6103—22no—
509#6103—22no—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—41no—
517#6103—41no—
518#6103C22×C414yes—
519#6103C22×C414yes—
520#6103C22×C414yes—
521#6103C22×C414yes—
522#6103C22×C414yes—
523#6103C22×C414yes—
524#6103C22×C414yescomplemented
525#6103C22×C414yescomplemented
526#6103C22×C414yescomplemented
527#6103#4114yes—
528#6103#4114yes—
529C4⋊Dic13—22no—
530C4⋊Dic13—22no—
531C4⋊Dic13—41no—
532C4⋊Dic13C22×C414yescomplemented
533C4⋊Dic13C22×C414yescomplemented
534#6101—22no—
535#6101—22no—
536#6101—41no—
537#6101—41no—
538#6101—41no—
539#6101—41no—
540#6101C22×C414yescomplemented
541#6101C22×C414yescomplemented
542#6101C22×C414yescomplemented
543C4×Dic13—22no—
544C4×Dic13—22no—
545C4×Dic13—22no—
546C4×Dic13—22no—
547C4×Dic13—22no—
548C4×Dic13—22no—
549C4×Dic13—22no—
550C4×Dic13—22no—
551C4×Dic13—22no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—22no—
558C4×Dic13—22no—
559C4×Dic13—22no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563C4×Dic13—41no—
564C4×Dic13—41no—
565C4×Dic13—41no—
566C4×Dic13C22×C414yescomplemented
567C4×Dic13C22×C414yescomplemented
568C2×#551—131no—
569#2374—131no—
570#2373—131no—
571#2373D1311yescharacteristic, complemented
572#2372—131no—
573#2368—131no—
574#2368—131no—
575#2359—131no—
576#2359—131no—
577#2358—131no—
578#2353—131no—
579#2353—131no—
580#2343—131no—
581#2343—131no—
582#2342—131no—
583#2342—131no—
584C4×#126—131no—
585C4×#126—131no—
586C4×#124—131no—
587C4×C22⋊Q8—131no—
588C4×C22⋊Q8—131no—
589C4×#123—131no—
590C4×#123—131no—
591C4×#123—131no—
592C4×#120—131no—
593C42×D4—131no—
594C42×D4—131no—
595C4×#117—131no—
596C4×#117—131no—
597C2×C4×C22⋊C4—131no—
598C2×C4×C22⋊C4—131no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13C23×C412yes—
606C23×C13C2511yescharacteristic
607C22×D13—21no—
608C22×D13—21no—
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—21no—
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—28no—
622C22×D13—28no—
623C22×D13—44no—
624C22×D13—44no—
625C22×D13—44no—
626C22×D13—44no—
627C22×D13—44no—
628C22×D13C23×C412yes—
629C22×D13C23×C412yes—
630C22×D13C23×C412yes—
631C22×D13C2×#4112yes—
632C22×D13C2×#4112yes—
633C22×D13C2×#4112yes—
634C22×D13C2×#4112yes—
635C2×C4×C13—21no—
636C2×C4×C13—21no—
637C2×C4×C13—21no—
638C2×C4×C13—21no—
639C2×C4×C13—21no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—44no—
668C2×C4×C13C23×C412yes—
669C2×C4×C13C23×C412yes—
670C2×C4×C13C23×C412yes—
671C2×C4×C13C23×C412yes—
672C2×C4×C13C23×C412yes—
673C2×C4×C13C23×C412yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C22⋊D13—44no—
679C2×Dic13—21no—
680C2×Dic13—21no—
681C2×Dic13—21no—
682C2×Dic13—21no—
683C2×Dic13—21no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
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—44no—
709C2×Dic13C23×C412yes—
710C2×Dic13C23×C412yes—
711C2×Dic13C23×C412yes—
712C2×Dic13C23×C412yes—
713C2×Dic13C23×C412yes—
714C2×Dic13C2×#4112yes—
715C2×Dic13C2×#4112yes—
716C2×Dic13C2×#4112yes—
717C2×Dic13C2×#4112yes—
718C2×Dic13H(5,𝔽2)12yes—
719D52—28no—
720D52—28no—
721C4×D13—28no—
722C4×D13—28no—
723C4×D13—28no—
724C4×D13—28no—
725C4×D13—44no—
726C4×D13—44no—
727C4×D13—44no—
728C4×D13—44no—
729C4×D13—44no—
730C4×D13—44no—
731C4×D13—44no—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736Dic26—44no—
737C24×C4—131no—
738#551—1316no—
739C2×#126—131no—
740C2×#126C2×D1311yescharacteristic
741C2×#124—131no—
742C2×#123—131no—
743C2×#123—131no—
744C2×#123—131no—
745C2×C22⋊Q8—131no—
746C2×C22⋊Q8—131no—
747C2×#120—131no—
748C2×C4×Q8—131no—
749C2×C4×D4—131no—
750C2×C4×D4—131no—
751C2×C4×D4—131no—
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4—131no—
755C2×C4×D4—131no—
756C2×#117—131no—
757C2×#117—131no—
758C2×#117—131no—
759C2×#117—131no—
760C22×C22⋊C4—131no—
761C22×C22⋊C4—131no—
762C22×C22⋊C4—131no—
763C22×C22⋊C4—131no—
764C22×C42—131no—
765C22×C42—131no—
766C22×C42—131no—
767C22×C42—131no—
768C22×C42—131no—
769#391—131no—
770#391—131no—
771#391—131no—
772#390—131no—
773#389—131no—
774#389C2×D1311yescharacteristic, complemented
775#388—131no—
776#388—131no—
777#388—131no—
778#388—131no—
779#388—131no—
780#388—131no—
781#388—131no—
782#388—131no—
783#388—131no—
784#388—131no—
785#388—131no—
786#388—131no—
787#388—131no—
788#388C2×D1311yescharacteristic
789#388C2×D1311yescharacteristic
790#388C2×D1311yescharacteristic
791#387—131no—
792#387—131no—
793#387—131no—
794#387—131no—
795#387—131no—
796#387—131no—
797#387—131no—
798#387—131no—
799#387—131no—
800#387—131no—
801#387—131no—
802#387—131no—
803#387—131no—
804#387C2×D1311yescharacteristic, complemented
805#387C2×D1311yescharacteristic, complemented
806#387C2×D1311yescharacteristic, complemented
807#386—131no—
808#386—131no—
809#386—131no—
810#386—131no—
811#386—131no—
812#386—131no—
813#385—131no—
814#385—131no—
815#385—131no—
816#385—131no—
817#385—131no—
818#385—131no—
819#385—131no—
820#385—131no—
821#385—131no—
822#385C2×D1311yescharacteristic
823#383—131no—
824#383—131no—
825#382—131no—
826#381—131no—
827#381—131no—
828#381—131no—
829#380—131no—
830#380—131no—
831#379—131no—
832C4×C4⋊C4—131no—
833C4×C4⋊C4—131no—
834C4×C4⋊C4—131no—
835C4×C4⋊C4—131no—
836C4×C4⋊C4—131no—
837C4×C4⋊C4—131no—
838C4×C4⋊C4—131no—
839C4×C4⋊C4—131no—
840C4×C4⋊C4—131no—
841C4×C4⋊C4—131no—
842C4×C4⋊C4—131no—
843C4×C4⋊C4—131no—
844C4×C4⋊C4—131no—
845C4×C4⋊C4C2×D1311yescharacteristic, complemented
846C4×C4⋊C4C2×D1311yescharacteristic, complemented
847C4×C4⋊C4C2×D1311yescharacteristic, complemented
848C4×C22⋊C4—131no—
849C4×C22⋊C4—131no—
850C4×C22⋊C4—131no—
851C4×C22⋊C4—131no—
852C4×C22⋊C4—131no—
853C4×C22⋊C4—131no—
854C4×C22⋊C4—131no—
855C4×C22⋊C4—131no—
856C4×C22⋊C4—131no—
857C4×C22⋊C4—131no—
858C4×C22⋊C4—131no—
859C4×C22⋊C4—131no—
860C4×C22⋊C4—131no—
861C4×C22⋊C4—131no—
862C4×C22⋊C4—131no—
863C4×C22⋊C4—131no—
864C4×C22⋊C4—131no—
865C4×C22⋊C4—131no—
866C4×C22⋊C4—131no—
867C4×C22⋊C4—131no—
868C4×C22⋊C4—131no—
869C4×C22⋊C4—131no—
870C4×C22⋊C4—131no—
871C4×C22⋊C4—131no—
872C4×C22⋊C4—131no—
873C4×C22⋊C4—131no—
874C4×C22⋊C4—131no—
875C4×C22⋊C4—131no—
876C4×C22⋊C4—131no—
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4C2×D1311yescharacteristic
881C4×C22⋊C4C2×D1311yescharacteristic
882#376—131no—
883#376—131no—
884#376—131no—
885#376C2×D1311yescharacteristic, complemented
886C2×#95—131no—
887C2×#95—131no—
888C2×#95—131no—
889C2×#95—131no—
890C43—131no—
891C43—131no—
892C43—131no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—41no—
897C22×C13—41no—
898C22×C13—41no—
899C22×C13—41no—
900C22×C13C24×C411yescharacteristic
901C22×C13C22×#4111yescharacteristic
902C22×C13C22×#4111yescharacteristic
903C22×C13C22×#4111yescharacteristic
904C22×C13C22×#4111yescharacteristic
905C22×C13C2×H(5,𝔽2)11yescharacteristic
906C22×C13#58511yescharacteristic
907C2×D13—22no—
908C2×D13—22no—
909C2×D13—22no—
910C2×D13—22no—
911C2×D13—22no—
912C2×D13—22no—
913C2×D13—22no—
914C2×D13—22no—
915C2×D13—22no—
916C2×D13—22no—
917C2×D13—22no—
918C2×D13—22no—
919C2×D13—22no—
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—416no—
923C2×D13—41no—
924C2×D13—41no—
925C2×D13—41no—
926C2×D13—41no—
927C2×D13C4×#4114yes—
928C2×D13C4×#4114yes—
929C4×C13—22no—
930C4×C13—22no—
931C4×C13—22no—
932C4×C13—22no—
933C4×C13—22no—
934C4×C13—22no—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—22no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943Dic13—22no—
944Dic13—22no—
945Dic13—22no—
946Dic13—22no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—41no—
951Dic13—41no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13#55114yescomplemented
956C25—131no—
957C22×Q8—131no—
958C22×D4—131no—
959C22×D4—131no—
960C22×D4—131no—
961C23×C4—131no—
962C23×C4—131no—
963C23×C4—131no—
964C23×C4—131no—
965C23×C4—131no—
966C23×C4—131no—
967C23×C4—131no—
968C23×C4—131no—
969C23×C4—131no—
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—264no—
978C23×C4—264no—
979C23×C4—522no—
980C23×C4C22×D1311yescharacteristic
981#126—138no—
982#126C4×D1318yescomplemented
983#124—138no—
984#123—138no—
985#123—138no—
986#123—138no—
987C22⋊Q8—138no—
988C22⋊Q8—138no—
989#120—138no—
990C4×Q8—522no—
991C4×D4—138no—
992C4×D4—138no—
993C4×D4—264no—
994C4×D4—264no—
995C4×D4—264no—
996C4×D4—264no—
997C4×D4—522no—
998#117—138no—
999#117—138no—
1000#117—264no—
1001#117—264no—
1002C2×C4⋊C4—131no—
1003C2×C4⋊C4—131no—
1004C2×C4⋊C4—131no—
1005C2×C4⋊C4—131no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4C22×D1311yescharacteristic
1017C2×C4⋊C4C22×D1311yescharacteristic
1018C2×C4⋊C4C22×D1311yescharacteristic
1019C2×C4⋊C4C22×D1311yescharacteristic
1020C2×C4⋊C4C22×D1311yescharacteristic
1021C2×C4⋊C4C22×D1311yescharacteristic
1022C2×C4⋊C4C22×D1311yescharacteristic
1023C2×C4⋊C4C22×D1311yescharacteristic
1024C2×C22⋊C4—131no—
1025C2×C22⋊C4—131no—
1026C2×C22⋊C4—131no—
1027C2×C22⋊C4—131no—
1028C2×C22⋊C4—131no—
1029C2×C22⋊C4—131no—
1030C2×C22⋊C4—131no—
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—138no—
1038C2×C22⋊C4—138no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—264no—
1055C2×C22⋊C4—264no—
1056C2×C22⋊C4C22×D1311yescharacteristic
1057C2×C22⋊C4C22×D1311yescharacteristic
1058C2×C22⋊C4C22×D1311yescharacteristic
1059C2×C22⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4C22×D1311yescharacteristic
1061C2×C22⋊C4C22×D1311yescharacteristic
1062C2×C42—131no—
1063C2×C42—131no—
1064C2×C42—131no—
1065C2×C42—131no—
1066C2×C42—131no—
1067C2×C42—131no—
1068C2×C42—131no—
1069C2×C42—131no—
1070C2×C42—131no—
1071C2×C42—131no—
1072C2×C42—131no—
1073C2×C42—131no—
1074C2×C42—131no—
1075C2×C42—131no—
1076C2×C42—131no—
1077C2×C42—131no—
1078C2×C42—131no—
1079C2×C42—131no—
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—264no—
1088C2×C42—264no—
1089C2×C42—522no—
1090C2×C42—522no—
1091C2×C42—522no—
1092C2×C42C22×D1311yescharacteristic
1093C2×C42C22×D1311yescharacteristic
1094C2×C42C22×D1311yescharacteristic
1095C2×C42C22×D1311yescharacteristic
1096C2×C42C22×D1311yescharacteristic
1097C2×C42C22×D1311yescharacteristic
1098C2×C42C22×D1311yescharacteristic
1099C2×C42C22×D1311yescharacteristic
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95—131no—
1105#95—131no—
1106#95—131no—
1107#95—131no—
1108#95—131no—
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95C22×D1311yescharacteristic
1133#95C22×D1311yescharacteristic
1134#95C22×D1311yescharacteristic
1135#95C22×D1311yescharacteristic
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144C2×C13—42no—
1145C2×C13C2×C4×#4111yescharacteristic
1146C2×C13C2×C4×#4111yescharacteristic
1147C2×C13C4×H(5,𝔽2)11yescharacteristic
1148C2×C13C2×#55111yescharacteristic
1149C2×C13#347511yescharacteristic
1150C2×C13#347511yescharacteristic
1151C2×C13#348111yescharacteristic
1152D13—24no—
1153D13—24no—
1154D13—42no—
1155C24—131no—
1156C24—131no—
1157C24—131no—
1158C24—134no—
1159C24—262no—
1160C24—262no—
1161C24—262no—
1162C24—262no—
1163C24—521no—
1164C24—521no—
1165C24C23×D1311yescharacteristic
1166C2×Q8—134no—
1167C2×Q8—521no—
1168C2×Q8—521no—
1169C2×D4—134no—
1170C2×D4—134no—
1171C2×D4—134no—
1172C2×D4—262no—
1173C2×D4—262no—
1174C2×D4—262no—
1175C2×D4—262no—
1176C2×D4—521no—
1177C2×D4—521no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—131no—
1182C22×C4—131no—
1183C22×C4—131no—
1184C22×C4—131no—
1185C22×C4—131no—
1186C22×C4—131no—
1187C22×C4—131no—
1188C22×C4—131no—
1189C22×C4—134no—
1190C22×C4—134no—
1191C22×C4—134no—
1192C22×C4—134no—
1193C22×C4—134no—
1194C22×C4—134no—
1195C22×C4—134no—
1196C22×C4—131no—
1197C22×C4—131no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—262no—
1202C22×C4—262no—
1203C22×C4—262no—
1204C22×C4—262no—
1205C22×C4—262no—
1206C22×C4—262no—
1207C22×C4—262no—
1208C22×C4—262no—
1209C22×C4—262no—
1210C22×C4—262no—
1211C22×C4—262no—
1212C22×C4—262no—
1213C22×C4—262no—
1214C22×C4—262no—
1215C22×C4—262no—
1216C22×C4—262no—
1217C22×C4—262no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
1228C22×C4—262no—
1229C22×C4—521no—
1230C22×C4—521no—
1231C22×C4—521no—
1232C22×C4—521no—
1233C22×C4—521no—
1234C22×C4—521no—
1235C22×C4—521no—
1236C22×C4—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—5216no—
1243C22×C4C23×D1311yescharacteristic
1244C22×C4C23×D1311yescharacteristic
1245C22×C4C23×D1311yescharacteristic
1246C22×C4C23×D1311yescharacteristic
1247C22×C4C23×D1311yescharacteristic
1248C22×C4C23×D1311yescharacteristic
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C22×C4C23×D1311yescharacteristic
1256C22×C4C23×D1311yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—41no—
1262C4⋊C4—134no—
1263C4⋊C4—134no—
1264C4⋊C4—134no—
1265C4⋊C4—134no—
1266C4⋊C4—134no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—521no—
1272C4⋊C4—521no—
1273C4⋊C4—521no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4C2×C4×D1314yescomplemented
1277C4⋊C4C2×C4×D1314yescomplemented
1278C4⋊C4C2×C4×D1314yescomplemented
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—41no—
1282C22⋊C4—134no—
1283C22⋊C4—134no—
1284C22⋊C4—134no—
1285C22⋊C4—134no—
1286C22⋊C4—134no—
1287C22⋊C4—134no—
1288C22⋊C4—134no—
1289C22⋊C4—134no—
1290C22⋊C4—134no—
1291C22⋊C4—134no—
1292C22⋊C4—134no—
1293C22⋊C4—134no—
1294C22⋊C4—134no—
1295C22⋊C4—262no—
1296C22⋊C4—262no—
1297C22⋊C4—262no—
1298C22⋊C4—262no—
1299C22⋊C4—262no—
1300C22⋊C4—262no—
1301C22⋊C4—262no—
1302C22⋊C4—262no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
1305C22⋊C4—262no—
1306C22⋊C4—262no—
1307C22⋊C4—521no—
1308C22⋊C4—521no—
1309C22⋊C4—521no—
1310C22⋊C4C2×C4×D1314yes—
1311C22⋊C4C2×C4×D1314yes—
1312C22⋊C4C2×C4×D1314yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—134no—
1321C42—134no—
1322C42—262no—
1323C42—262no—
1324C42—262no—
1325C42—262no—
1326C42—262no—
1327C42—262no—
1328C42—262no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—521no—
1340C42—521no—
1341C42—521no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42C2×C4×D1314yescomplemented
1346C13C4×#55111yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—132no—
1354C23—132no—
1355C23—132no—
1356C23—132no—
1357C23—132no—
1358C23—132no—
1359C23—132no—
1360C23—268no—
1361C23—268no—
1362C23—261no—
1363C23—261no—
1364C23—261no—
1365C23—261no—
1366C23—261no—
1367C23—261no—
1368C23—261no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—524no—
1377C23—524no—
1378C23—524no—
1379C23—524no—
1380C23—524no—
1381C23C22×C4×D1312yes—
1382C23C24×D1311yescharacteristic
1383Q8—524no—
1384D4—268no—
1385D4—268no—
1386D4—524no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—132no—
1421C2×C4—132no—
1422C2×C4—132no—
1423C2×C4—132no—
1424C2×C4—132no—
1425C2×C4—132no—
1426C2×C4—132no—
1427C2×C4—132no—
1428C2×C4—132no—
1429C2×C4—132no—
1430C2×C4—268no—
1431C2×C4—268no—
1432C2×C4—268no—
1433C2×C4—268no—
1434C2×C4—261no—
1435C2×C4—261no—
1436C2×C4—261no—
1437C2×C4—261no—
1438C2×C4—261no—
1439C2×C4—261no—
1440C2×C4—261no—
1441C2×C4—261no—
1442C2×C4—261no—
1443C2×C4—261no—
1444C2×C4—261no—
1445C2×C4—261no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—261no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—524no—
1464C2×C4—524no—
1465C2×C4—524no—
1466C2×C4—524no—
1467C2×C4—524no—
1468C2×C4—524no—
1469C2×C4—524no—
1470C2×C4—524no—
1471C2×C4—524no—
1472C2×C4—524no—
1473C2×C4—524no—
1474C2×C4—524no—
1475C2×C4C22×C4×D1312yes—
1476C2×C4C22×C4×D1312yes—
1477C2×C4C22×C4×D1312yes—
1478C2×C4C22×C4×D1312yes—
1479C2×C4C22×C4×D1312yes—
1480C2×C4C22×C4×D1312yes—
1481C2×C4#41×D1312yes—
1482C2×C4#41×D1312yes—
1483C2×C4#41×D1312yes—
1484C2×C4#41×D1312yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—134no—
1493C22—134no—
1494C22—262no—
1495C22—262no—
1496C22—262no—
1497C22—262no—
1498C22—262no—
1499C22—262no—
1500C22—262no—
1501C22—262no—
1502C22—262no—
1503C22—262no—
1504C22—262no—
1505C22—262no—
1506C22—262no—
1507C22—262no—
1508C22—262no—
1509C22—5216no—
1510C22—521no—
1511C22—521no—
1512C22—521no—
1513C22—521no—
1514C22C23×C4×D1311yescharacteristic
1515C22C2×#41×D1311yescharacteristic
1516C22C2×#41×D1311yescharacteristic
1517C22C2×#41×D1311yescharacteristic
1518C22C2×#41×D1311yescharacteristic
1519C22D13×H(5,𝔽2)11yescharacteristic
1520C22#1171965211yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—134no—
1536C4—262no—
1537C4—262no—
1538C4—262no—
1539C4—262no—
1540C4—262no—
1541C4—262no—
1542C4—262no—
1543C4—521no—
1544C4—521no—
1545C4—521no—
1546C4—521no—
1547C4—521no—
1548C2—42no—
1549C2—264no—
1550C2—264no—
1551C2—522no—
1552C2C4×#41×D1311yescharacteristic
1553C2C4×#41×D1311yescharacteristic
1554C2#1312804211yescharacteristic
1555C2D13×#55111yescharacteristic
1556C2#1312838911yescharacteristic
1557C2#1312839711yescharacteristic
1558C2#1312844311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2373C2
socle, cosocleC23×C13C25
prime radicalC2×#88136C22
hypercenter#2373D13
hypocenterC13C4×#551
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #13117970C2semidirect
3. #13117951C2semidirect
4. #13117944C2semidirect
5. #13117920C2semidirect
6. #13117918C2semidirect
7. #13117833C2semidirect
8. #13117823C2semidirect
10. #13117777C2semidirect
11. #13117775C2semidirect
12. #13117699C2semidirect
13. #13117691C2semidirect
14. #13117684C2semidirect
15. #13117680C2semidirect
16. #13117390C2semidirect
17. #126×Dic13C2semidirect
18. #13117377C2semidirect
19. #13117370C2semidirect
20. #13117366C2semidirect
21. #13117363C2semidirect
22. #13117357C2semidirect
23. #13117357C2semidirect
25. C4×#88147C2semidirect
26. C4×#88147C2semidirect
27. C4×#88146C2semidirect
28. #13117175C2semidirect
29. C4×C22⋊C4×D13C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2373C2semidirect
34. #11719410C4semidirect
45. C2×#88141C22semidirect
63. C2×C42×D13C22semidirect
64. C13×#389C22semidirect
68. C13×#387C22semidirect
69. C13×#387C22semidirect
70. C13×#387C22semidirect
72. C4×C13×C4⋊C4C22semidirect
73. C4×C13×C4⋊C4C22semidirect
74. C4×C13×C4⋊C4C22semidirect
77. C13×#376C22semidirect
81. #11718651C22semidirect
87. #11718650C22semidirect
89. #11718642C22semidirect
90. #11718642C22semidirect
91. #11718642C22semidirect
92. #11718639C22semidirect
93. #11718639C22semidirect
94. #11718639C22semidirect
95. C4⋊C4×Dic13C22semidirect
96. C4⋊C4×Dic13C22semidirect
97. C4⋊C4×Dic13C22semidirect
98. C4⋊C4×Dic13C22semidirect
99. C4⋊C4×Dic13C22semidirect
100. C4⋊C4×Dic13C22semidirect
101. C4⋊C4×Dic13C22semidirect
117. #11718601C22semidirect
118. #11718601C22semidirect
119. #11718601C22semidirect
128. C4×#6103C22semidirect
129. C4×#6103C22semidirect
130. #11718598C22semidirect
131. C4×C4⋊Dic13C22semidirect
132. #11718594C22semidirect
133. #11718594C22semidirect
134. #11718594C22semidirect
135. #11718593C22semidirect
136. C42×Dic13C22semidirect
137. C42×Dic13C22semidirect
138. C42×Dic13C22semidirect
139. #11718590C22semidirect
140. #11718331C22semidirect
141. #11718331C22semidirect
156. #11718327C22semidirect
157. #11718327C22semidirect
158. #11718327C22semidirect
159. #11718327C22semidirect
160. #11718327C22semidirect
167. #11718325C22semidirect
172. #11718315C22semidirect
173. #11718315C22semidirect
174. #11718315C22semidirect
175. #11718314C22semidirect
176. #11718312C22semidirect
177. #11718311C22semidirect
178. #11718310C22semidirect
179. #11718310C22semidirect
180. #11718310C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718309C22semidirect
184. #11718309C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
213. C13×#126C2×C4semidirect
303. #88151C2×C4semidirect
304. #88150C2×C4semidirect
305. #88148C2×C4semidirect
306. #88148C2×C4semidirect
310. #88147C2×C4semidirect
312. #88146C2×C4semidirect
314. #88139C2×C4semidirect
315. #88137C2×C4semidirect
320. C22⋊C4×D13C2×C4semidirect
321. C22⋊C4×D13C2×C4semidirect
322. #88133C2×C4semidirect
324. C4×D52C2×C4semidirect
326. #88126C2×C4semidirect
473. C2×C4×D13C22×C4semidirect
478. C2×Dic26C22×C4semidirect
484. C13×C4⋊C4C22×C4semidirect
485. C13×C4⋊C4C22×C4semidirect
486. C13×C4⋊C4C22×C4semidirect
500. C42×C13C22×C4semidirect
524. #6103C22×C4semidirect
525. #6103C22×C4semidirect
526. #6103C22×C4semidirect
532. C4⋊Dic13C22×C4semidirect
533. C4⋊Dic13C22×C4semidirect
540. #6101C22×C4semidirect
541. #6101C22×C4semidirect
542. #6101C22×C4semidirect
566. C4×Dic13C22×C4semidirect
567. C4×Dic13C22×C4semidirect
571. #2373D13semidirect
774. #389C2×D13semidirect
804. #387C2×D13semidirect
805. #387C2×D13semidirect
806. #387C2×D13semidirect
845. C4×C4⋊C4C2×D13semidirect
846. C4×C4⋊C4C2×D13semidirect
847. C4×C4⋊C4C2×D13semidirect
885. #376C2×D13semidirect
955. Dic13#551semidirect
982. #126C4×D13semidirect
1276. C4⋊C4C2×C4×D13semidirect
1277. C4⋊C4C2×C4×D13semidirect
1278. C4⋊C4C2×C4×D13semidirect
1345. C42C2×C4×D13semidirect
1346. C13C4×#551semidirect

Maximal subgroups

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

subgroupindex
C2×#117194102
#131179702
#131179512
#131179442
#131179202
#131179182
#131178332
#131178232
#131178142
#131177772
#131177752
#131176992
#131176912
#131176842
#131176802
#131173902
#126×Dic132
#131173772
#131173702
#131173662
#131173632
#131173572
#131173372
C4×#881472
C4×#881462
#131171752
C4×C22⋊C4×D132
C13×#23732
C4×#55113