Finite Group Databasebeta

← #16023874

Subgroups — #16023874

Order 3328.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719250C211yesmaximal, characteristic
2#13117775C211yesmaximal, characteristic, complemented
3#13117773C211yesmaximal, characteristic, complemented
4#13117771C211yesmaximal, characteristic, complemented
5#13117769C211yesmaximal, characteristic, complemented
6#13117764C211yesmaximal, characteristic, complemented
7#13117762C211yesmaximal, characteristic, complemented
8#13117760C211yesmaximal, characteristic, complemented
9#13117758C211yesmaximal, characteristic, complemented
10#13117695C211yesmaximal, characteristic, complemented
11#13117693C211yesmaximal, characteristic, complemented
12#13117691C211yesmaximal, characteristic, complemented
13#13117689C211yesmaximal, characteristic, complemented
14#13117684C211yesmaximal, characteristic, complemented
15#13117682C211yesmaximal, characteristic, complemented
16#13117680C211yesmaximal, characteristic, complemented
17#13117678C211yesmaximal, characteristic, complemented
18#13117470C211yesmaximal, characteristic, complemented
19#13117464C211yesmaximal, characteristic, complemented
20#13117462C211yesmaximal, characteristic, complemented
21#13117447C211yesmaximal, characteristic, complemented
22#13117410C211yesmaximal, characteristic
23#13117281C211yesmaximal, characteristic, complemented
24#13117276C211yesmaximal, characteristic, complemented
25#13117275C211yesmaximal, characteristic, complemented
26#13117272C211yesmaximal, characteristic, complemented
27D13×#386C211yesmaximal, characteristic
28D13×#385C211yesmaximal, characteristic, complemented
29#13117188C211yesmaximal, characteristic, complemented
30C2×#11718327C211yesmaximal, characteristic, complemented
31C13×#2318C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×D4×Dic13C2211yescharacteristic
36C2×C4×C22⋊D13C2211yescharacteristic
37C2×C4×C22⋊D13C2211yescharacteristic
38C22×#6103C2211yescharacteristic
39C22×#6103C2211yescharacteristic
40C22×#6103C2211yescharacteristic
41C2×#88180C2211yescharacteristic, complemented
42C22×C4×Dic13C2211yescharacteristic, complemented
43C22×C4×Dic13C2211yescharacteristic, complemented
44#11719250C4116yescomplemented
45C2×#88147C2211yescharacteristic
46C2×#88146C2211yescharacteristic
47C2×#88146C2211yescharacteristic, complemented
48C2×C4⋊C4×D13C2211yescharacteristic, complemented
49C2×C4⋊C4×D13C2211yescharacteristic, complemented
50C2×#88135C2211yescharacteristic
51C2×#88135C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×#88131C2211yescharacteristic, complemented
59C2×C4×D52C2211yescharacteristic
60C2×#88126C2211yescharacteristic
61C2×#88126C2211yescharacteristic, complemented
62C13×#388C2211yescharacteristic, complemented
63C13×#388C2211yescharacteristic, complemented
64C13×#387C2211yescharacteristic, complemented
65C13×#387C2211yescharacteristic, complemented
66C13×#386C2211yescharacteristic
67C13×#386C2211yescharacteristic
68C13×#385C2211yescharacteristic, complemented
69C13×#385C2211yescharacteristic, complemented
70C13×#383C2211yescharacteristic, complemented
71C13×#382C2211yescharacteristic, complemented
72C13×#381C2211yescharacteristic, complemented
73C13×#380C2211yescharacteristic, complemented
74C4×C13×C22⋊C4C2211yescharacteristic, complemented
75C2×C13×#95C2211yescharacteristic, complemented
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718874C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718871C2211yescharacteristic, complemented
81#11718871C2211yescharacteristic, complemented
82C4×C22⋊Dic13C2211yescharacteristic, complemented
83C4×C22⋊Dic13C2211yescharacteristic, complemented
84C2×#88071C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic, complemented
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718648C2211yescharacteristic, complemented
92#11718648C2211yescharacteristic, complemented
93#11718648C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718642C2211yescharacteristic, complemented
96#11718639C2211yescharacteristic, complemented
97#11718639C2211yescharacteristic, complemented
98#11718638C2211yescharacteristic, complemented
99C4⋊C4×Dic13C2211yescharacteristic, complemented
100#11718619C2211yescharacteristic
101#11718619C2211yescharacteristic
102#11718617C2211yescharacteristic
103#11718617C2211yescharacteristic
104#11718617C2211yescharacteristic
105#11718617C2211yescharacteristic
106#11718616C2211yescharacteristic
107#11718616C2211yescharacteristic
108#11718612C2211yescharacteristic, complemented
109#11718612C2211yescharacteristic, complemented
110#11718611C2211yescharacteristic, complemented
111#11718611C2211yescharacteristic, complemented
112#11718607C2211yescharacteristic, complemented
113#11718607C2211yescharacteristic, complemented
114#11718606C2211yescharacteristic, complemented
115#11718606C2211yescharacteristic, complemented
116#11718605C2211yescharacteristic, complemented
117#11718605C2211yescharacteristic, complemented
118#11718604C2211yescharacteristic, complemented
119#11718603C2211yescharacteristic, complemented
120C22⋊C4×Dic13C2211yescharacteristic, complemented
121C22⋊C4×Dic13C2211yescharacteristic, complemented
122C22⋊C4×Dic13C2211yescharacteristic, complemented
123C4×#6103C2211yescharacteristic
124C4×#6103C2211yescharacteristic
125C4×#6103C2211yescharacteristic, complemented
126C4×#6103C2211yescharacteristic, complemented
127C4×#6103C2211yescharacteristic, complemented
128C4×C4⋊Dic13C2211yescharacteristic, complemented
129#11718593C2211yescharacteristic, complemented
130#11718593C2211yescharacteristic, complemented
131C4×#6101C2211yescharacteristic, complemented
132#11718331C2211yescharacteristic, complemented
133#11718331C2211yescharacteristic, complemented
134#11718330C2211yescharacteristic, complemented
135#11718330C2211yescharacteristic, complemented
136#11718330C2211yescharacteristic, complemented
137#11718330C2211yescharacteristic, complemented
138#11718329C2211yescharacteristic
139#11718329C2211yescharacteristic
140#11718329C2211yescharacteristic
141#11718329C2211yescharacteristic
142#11718328C2211yescharacteristic, complemented
143#11718328C2211yescharacteristic, complemented
144#11718328C2211yescharacteristic, complemented
145#11718327C2211yescharacteristic
146#11718327C2211yescharacteristic
147#11718327C2211yescharacteristic
148#11718327C2211yescharacteristic
149#11718327C2211yescharacteristic
150#11718327C2211yescharacteristic
151#11718327C2211yescharacteristic, complemented
152#11718327C2211yescharacteristic, complemented
153#11718327C2211yescharacteristic, complemented
154#11718327C2211yescharacteristic, complemented
155#11718327C2211yescharacteristic, complemented
156#11718327C2211yescharacteristic, complemented
157#11718327C2211yescharacteristic, complemented
158#11718326C2211yescharacteristic
159#11718326C2211yescharacteristic
160#11718326C2211yescharacteristic
161#11718326C2211yescharacteristic
162#11718325C2211yescharacteristic
163#11718325C2211yescharacteristic
164#11718325C2211yescharacteristic, complemented
165#11718325C2211yescharacteristic, complemented
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic, complemented
169D13×#95C2211yescharacteristic, complemented
170#11718316C2211yescharacteristic, complemented
171#11718316C2211yescharacteristic, complemented
172#11718315C2211yescharacteristic, complemented
173#11718315C2211yescharacteristic, complemented
174#11718314C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718313C2211yescharacteristic, complemented
179#11718313C2211yescharacteristic, complemented
180#11718312C2211yescharacteristic, complemented
181#11718312C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718309C2211yescharacteristic, complemented
187#11718309C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C24×D13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C2×D4×D13—24no—
202C2×D4×D13—24no—
203C2×D4×D13C2×C418yes—
204C22×D52C2311yescharacteristic
205C22×C4×D13—24no—
206C22×C4×D13—42no—
207C22×C4×D13—42no—
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C4×D4×C13C2×C418yescomplemented
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×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246D4×Dic13C2×C418yescomplemented
247C4×C22⋊D13C2×C418yescomplemented
248C4×C22⋊D13C2×C418yescomplemented
249C2×#6103—24no—
250C2×#6103C2×C418yes—
251C2×#6103C2×C418yescomplemented
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×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276#88180—42no—
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×C4×Dic13—42no—
293C2×C4×Dic13—42no—
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
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311#88147C2×C418yescomplemented
312#88146—42no—
313#88146C2×C418yescomplemented
314C4⋊C4×D13—42no—
315C4⋊C4×D13—42no—
316#88135C2×C418yescomplemented
317#88135C2×C418yescomplemented
318C22⋊C4×D13—24no—
319C22⋊C4×D13—24no—
320C22⋊C4×D13—42no—
321C22⋊C4×D13—42no—
322C22⋊C4×D13C2×C418yes—
323C22⋊C4×D13C2×C418yescomplemented
324#88131—42no—
325C4×D52C2×C418yescomplemented
326#88126—42no—
327#88126C2×C418yescomplemented
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#34251—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13—41no—
387C23×D13—41no—
388C23×D13—41no—
389C23×D13C22×C414yes—
390C23×D13C22×C414yes—
391C23×D13#4114yes—
392C23×D13#4114yes—
393C23×D13C2411yescharacteristic
394C23×D13C2411yescharacteristic
395C23×D13C2411yescharacteristic
396C2×D4×C13—22no—
397C2×D4×C13—22no—
398C2×D4×C13C22×C414yes—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
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×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13C22×C414yes—
410C22×C4×C13C22×C414yescomplemented
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
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13C22×C414yes—
429C2×C22⋊D13C22×C414yes—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13—41no—
437C22×Dic13—41no—
438C22×Dic13—41no—
439C22×Dic13—41no—
440C22×Dic13C22×C414yes—
441C22×Dic13C22×C414yescomplemented
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455D4×D13—232no—
456C2×D52—22no—
457C2×D52—22no—
458C2×D52C22×C414yes—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13—416no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×C4×D13—41no—
489C2×C4×D13—41no—
490C2×C4×D13—41no—
491C2×C4×D13—41no—
492C2×C4×D13—41no—
493C2×C4×D13—41no—
494C2×C4×D13C22×C414yes—
495C2×C4×D13C22×C414yes—
496C2×C4×D13C22×C414yes—
497C2×C4×D13C22×C414yescomplemented
498C2×C4×D13C22×C414yescomplemented
499C13×C4⋊C4—41no—
500C13×C4⋊C4—41no—
501C13×C4⋊C4—41no—
502C13×C4⋊C4—41no—
503C13×C4⋊C4C22×C414yescomplemented
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
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×C13C22×C414yescomplemented
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—22no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13C22×C414yes—
522C22⋊Dic13C22×C414yescomplemented
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
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#6103C22×C414yes—
540#6103C22×C414yes—
541#6103C22×C414yes—
542#6103C22×C414yes—
543#6103C22×C414yes—
544#6103C22×C414yes—
545#6103C22×C414yescomplemented
546#6103C22×C414yescomplemented
547C4⋊Dic13—22no—
548C4⋊Dic13—22no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13C22×C414yescomplemented
552#6101—22no—
553#6101—22no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101C22×C414yescomplemented
561#6101C22×C414yescomplemented
562C4×Dic13—22no—
563C4×Dic13—22no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574C4×Dic13—41no—
575C4×Dic13—41no—
576C4×Dic13C22×C414yescomplemented
577C4×Dic13C22×C414yescomplemented
578C4×Dic13C22×C414yescomplemented
579C2×#518—131no—
580#2353—131no—
581#2353—131no—
582#2353—131no—
583#2353—131no—
584#2352—131no—
585#2352—131no—
586#2352—131no—
587#2352—131no—
588#2343—131no—
589#2343—131no—
590#2343—131no—
591#2343—131no—
592#2342—131no—
593#2342—131no—
594#2342—131no—
595#2342—131no—
596#2318—131no—
597#2318—131no—
598#2318—131no—
599#2318D1311yescharacteristic, complemented
600#2315—131no—
601#2308—131no—
602#2290—131no—
603#2290—131no—
604#2290—131no—
605#2290—131no—
606C2×#386—131no—
607C2×#385—131no—
608#2273—131no—
609C2×C4×C22⋊C4—131no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13C23×C412yes—
621C23×C13C23×C412yes—
622C23×C13C2×#4112yes—
623C23×C13C2×#4112yes—
624C23×C13C2511yescharacteristic
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—28no—
640C22×D13—44no—
641C22×D13—44no—
642C22×D13—44no—
643C22×D13—44no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—82no—
649C22×D13—82no—
650C22×D13—82no—
651C22×D13—82no—
652C22×D13#117116yescomplemented
653C22×D13C23×C412yes—
654C22×D13C23×C412yes—
655C22×D13C23×C412yes—
656C22×D13C2×#4112yes—
657C22×D13C2×#4112yes—
658C22×D13C2×#4112yes—
659C22×D13C2×#4112yes—
660D4×C13—28no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—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—44no—
696C2×C4×C13—44no—
697C2×C4×C13—44no—
698C2×C4×C13—44no—
699C2×C4×C13C23×C412yes—
700C2×C4×C13C23×C412yes—
701C2×C4×C13C23×C412yes—
702C2×C4×C13C23×C412yes—
703C2×C4×C13C23×C412yes—
704C22⋊D13—28no—
705C22⋊D13—28no—
706C2×Dic13—28no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—44no—
740C2×Dic13—44no—
741C2×Dic13—44no—
742C2×Dic13C23×C412yes—
743C2×Dic13C23×C412yes—
744C2×Dic13C23×C412yes—
745C2×Dic13C23×C412yes—
746C2×Dic13C23×C412yes—
747C2×Dic13H(5,𝔽2)12yes—
748C2×Dic13H(5,𝔽2)12yes—
749D52—28no—
750C4×D13—28no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758C4×D13—44no—
759C4×D13—82no—
760C4×D13—82no—
761C4×D13—82no—
762C4×D13—82no—
763C23×D4—131no—
764C24×C4—131no—
765#518—1316no—
766C2×C4×D4—131no—
767C2×C4×D4—131no—
768C2×C4×D4—131no—
769C2×C4×D4—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4C2×D1311yescharacteristic
774C2×#117—131no—
775C2×#117—131no—
776C2×#117—131no—
777C2×#117—131no—
778C2×#117—131no—
779C2×#117—131no—
780C22×C4⋊C4—131no—
781C22×C4⋊C4—131no—
782C22×C22⋊C4—131no—
783C22×C22⋊C4—131no—
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786C22×C22⋊C4—131no—
787C22×C22⋊C4—131no—
788C22×C22⋊C4—131no—
789C22×C22⋊C4—131no—
790C22×C22⋊C4—131no—
791C22×C42—131no—
792C22×C42—131no—
793#388—131no—
794#388—131no—
795#388—131no—
796#388—131no—
797#388—131no—
798#388—131no—
799#388—131no—
800#388—131no—
801#388—131no—
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388C2×D1311yescharacteristic, complemented
808#388C2×D1311yescharacteristic, complemented
809#387—131no—
810#387—131no—
811#387—131no—
812#387—131no—
813#387—131no—
814#387—131no—
815#387—131no—
816#387—131no—
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387C2×D1311yescharacteristic, complemented
824#387C2×D1311yescharacteristic, complemented
825#386—131no—
826#386—131no—
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386—131no—
836#386—131no—
837#386—131no—
838#386—131no—
839#386C2×D1311yescharacteristic
840#386C2×D1311yescharacteristic
841#385—131no—
842#385—131no—
843#385—131no—
844#385—131no—
845#385—131no—
846#385—131no—
847#385—131no—
848#385—131no—
849#385—131no—
850#385—131no—
851#385—131no—
852#385—131no—
853#385—131no—
854#385—131no—
855#385C2×D1311yescharacteristic, complemented
856#385C2×D1311yescharacteristic, complemented
857#383—131no—
858#383—131no—
859#383—131no—
860#383C2×D1311yescharacteristic, complemented
861#382—131no—
862#382—131no—
863#382—131no—
864#382C2×D1311yescharacteristic, complemented
865#381—131no—
866#381—131no—
867#381—131no—
868#381—131no—
869#381—131no—
870#381C2×D1311yescharacteristic, complemented
871#380—131no—
872#380—131no—
873#380—131no—
874#380—131no—
875#380—131no—
876#380—131no—
877#380—131no—
878#380C2×D1311yescharacteristic, complemented
879#379—131no—
880#379—131no—
881C4×C4⋊C4—131no—
882C4×C4⋊C4—131no—
883C4×C4⋊C4—131no—
884C4×C4⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887C4×C22⋊C4—131no—
888C4×C22⋊C4—131no—
889C4×C22⋊C4—131no—
890C4×C22⋊C4—131no—
891C4×C22⋊C4—131no—
892C4×C22⋊C4—131no—
893C4×C22⋊C4—131no—
894C4×C22⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4C2×D1311yescharacteristic, complemented
909#376—131no—
910#376—131no—
911#376—131no—
912#376—131no—
913C2×#95—131no—
914C2×#95—131no—
915C2×#95—131no—
916C2×#95—131no—
917C2×#95—131no—
918C2×#95C2×D1311yescharacteristic, complemented
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—22no—
925C22×C13—22no—
926C22×C13—22no—
927C22×C13—22no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13C2×#11714yes—
933C22×C13C24×C411yescharacteristic
934C22×C13C22×#4111yescharacteristic
935C22×C13C22×#4111yescharacteristic
936C22×C13C2×H(5,𝔽2)11yescharacteristic
937C22×C13C2×H(5,𝔽2)11yescharacteristic
938C22×C13#58511yescharacteristic
939C22×C13#58511yescharacteristic
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—22no—
949C2×D13—22no—
950C2×D13—22no—
951C2×D13—22no—
952C2×D13—22no—
953C2×D13—22no—
954C2×D13—22no—
955C2×D13—416no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—88no—
961C2×D13C2×#11714yes—
962C2×D13C2×#11714yes—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—22no—
966C4×C13—22no—
967C4×C13—22no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976Dic13—22no—
977Dic13—22no—
978Dic13—22no—
979Dic13—22no—
980Dic13—22no—
981Dic13—22no—
982Dic13—22no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988Dic13—41no—
989C25—131no—
990C25—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4—138no—
994C22×D4—131no—
995C22×D4—264no—
996C22×D4—264no—
997C22×D4C22×D1311yescharacteristic
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—264no—
1016C23×C4—522no—
1017C23×C4—522no—
1018C23×C4C22×D1311yescharacteristic
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021C23×C4C22×D1311yescharacteristic
1022C4×D4—138no—
1023C4×D4—138no—
1024C4×D4—138no—
1025C4×D4—138no—
1026C4×D4—138no—
1027C4×D4—138no—
1028C4×D4—138no—
1029C4×D4C4×D1318yescomplemented
1030#117—138no—
1031#117—138no—
1032#117—522no—
1033#117—522no—
1034#117—522no—
1035#117—522no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—522no—
1052C2×C4⋊C4—522no—
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C22⋊C4—131no—
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—138no—
1061C2×C22⋊C4—138no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—138no—
1071C2×C22⋊C4—138no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—264no—
1095C2×C22⋊C4—264no—
1096C2×C22⋊C4—264no—
1097C2×C22⋊C4—522no—
1098C2×C22⋊C4—522no—
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C42—131no—
1108C2×C42—131no—
1109C2×C42—131no—
1110C2×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—522no—
1125C2×C42—522no—
1126C2×C42C22×D1311yescharacteristic
1127C2×C42C22×D1311yescharacteristic
1128C2×C42C22×D1311yescharacteristic
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173#95C22×D1311yescharacteristic
1174#95C22×D1311yescharacteristic
1175#95C22×D1311yescharacteristic
1176#95C22×D1311yescharacteristic
1177C2×C13—24no—
1178C2×C13—42no—
1179C2×C13C22×#11711yescharacteristic
1180C2×C13C4×H(5,𝔽2)11yescharacteristic
1181C2×C13C4×H(5,𝔽2)11yescharacteristic
1182C2×C13#349011yescharacteristic
1183C2×C13#349111yescharacteristic
1184C2×C13#350511yescharacteristic
1185C2×C13#350511yescharacteristic
1186D13—24no—
1187D13—24no—
1188D13—42no—
1189C24—131no—
1190C24—131no—
1191C24—134no—
1192C24—134no—
1193C24—134no—
1194C24—131no—
1195C24—134no—
1196C24—262no—
1197C24—262no—
1198C24—521no—
1199C24—521no—
1200C24—521no—
1201C24—521no—
1202C24—521no—
1203C24—521no—
1204C24—521no—
1205C24—521no—
1206C24C23×D1311yescharacteristic
1207C24C23×D1311yescharacteristic
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—134no—
1211C2×D4—134no—
1212C2×D4—134no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—2632no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4C2×C4×D1314yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—134no—
1239C22×C4—134no—
1240C22×C4—134no—
1241C22×C4—134no—
1242C22×C4—134no—
1243C22×C4—134no—
1244C22×C4—134no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—262no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—5216no—
1290C22×C4—521no—
1291C22×C4—521no—
1292C22×C4—521no—
1293C22×C4—521no—
1294C22×C4—521no—
1295C22×C4—521no—
1296C22×C4C2×C4×D1314yes—
1297C22×C4C2×C4×D1314yescomplemented
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C22×C4C23×D1311yescharacteristic
1304C22×C4C23×D1311yescharacteristic
1305C22×C4C23×D1311yescharacteristic
1306C22×C4C23×D1311yescharacteristic
1307C22×C4C23×D1311yescharacteristic
1308C22×C4C23×D1311yescharacteristic
1309C22×C4C23×D1311yescharacteristic
1310C22×C4C23×D1311yescharacteristic
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—134no—
1316C4⋊C4—134no—
1317C4⋊C4—134no—
1318C4⋊C4—262no—
1319C4⋊C4—262no—
1320C4⋊C4—262no—
1321C4⋊C4—262no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C4⋊C4—521no—
1327C4⋊C4—521no—
1328C4⋊C4—521no—
1329C4⋊C4—521no—
1330C4⋊C4C2×C4×D1314yescomplemented
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—134no—
1338C22⋊C4—134no—
1339C22⋊C4—134no—
1340C22⋊C4—134no—
1341C22⋊C4—134no—
1342C22⋊C4—134no—
1343C22⋊C4—134no—
1344C22⋊C4—134no—
1345C22⋊C4—134no—
1346C22⋊C4—134no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—262no—
1357C22⋊C4—262no—
1358C22⋊C4—262no—
1359C22⋊C4—262no—
1360C22⋊C4—262no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4C2×C4×D1314yes—
1370C22⋊C4C2×C4×D1314yescomplemented
1371C42—41no—
1372C42—41no—
1373C42—134no—
1374C42—134no—
1375C42—134no—
1376C42—262no—
1377C42—262no—
1378C42—262no—
1379C42—262no—
1380C42—521no—
1381C42—521no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C42—521no—
1387C42—521no—
1388C42—521no—
1389C42—521no—
1390C42C2×C4×D1314yescomplemented
1391C13#3425111yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—132no—
1403C23—132no—
1404C23—132no—
1405C23—132no—
1406C23—132no—
1407C23—132no—
1408C23—1316no—
1409C23—132no—
1410C23—268no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—524no—
1426C23—524no—
1427C23—524no—
1428C23—524no—
1429C23—524no—
1430C23—524no—
1431C23—524no—
1432C23—524no—
1433C23—1042no—
1434C23—1042no—
1435C23—1042no—
1436C23—1042no—
1437C23C22×C4×D1312yes—
1438C23C22×C4×D1312yes—
1439C23#41×D1312yes—
1440C23#41×D1312yes—
1441C23C24×D1311yescharacteristic
1442D4—28no—
1443D4—268no—
1444D4—268no—
1445D4—268no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—132no—
1485C2×C4—132no—
1486C2×C4—132no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—132no—
1491C2×C4—268no—
1492C2×C4—268no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
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—524no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—524no—
1535C2×C4—524no—
1536C2×C4—1042no—
1537C2×C4—1042no—
1538C2×C4—1042no—
1539C2×C4—1042no—
1540C2×C4C22×C4×D1312yes—
1541C2×C4C22×C4×D1312yes—
1542C2×C4C22×C4×D1312yes—
1543C2×C4C22×C4×D1312yes—
1544C2×C4C22×C4×D1312yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—134no—
1559C22—134no—
1560C22—262no—
1561C22—262no—
1562C22—262no—
1563C22—262no—
1564C22—262no—
1565C22—262no—
1566C22—262no—
1567C22—262no—
1568C22—262no—
1569C22—262no—
1570C22—262no—
1571C22—262no—
1572C22—262no—
1573C22—262no—
1574C22—262no—
1575C22—5216no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—1048no—
1581C22D13×#11714yes—
1582C22C23×C4×D1311yescharacteristic
1583C22C2×#41×D1311yescharacteristic
1584C22C2×#41×D1311yescharacteristic
1585C22D13×H(5,𝔽2)11yescharacteristic
1586C22D13×H(5,𝔽2)11yescharacteristic
1587C22#1171965011yescharacteristic
1588C22#1171965211yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—262no—
1603C4—262no—
1604C4—262no—
1605C4—262no—
1606C4—262no—
1607C4—262no—
1608C4—262no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C4—521no—
1615C2—24no—
1616C2—42no—
1617C2—264no—
1618C2—264no—
1619C2—522no—
1620C2C2×D13×#11711yescharacteristic
1621C2#1312804011yescharacteristic
1622C2#1312804211yescharacteristic
1623C2#1312852211yescharacteristic
1624C2#1312853011yescharacteristic
1625C2#1312866811yescharacteristic
1626C2#1312867411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2318C2
socle, cosocleC23×C13C25
prime radicalC22×D4×D13C22
hypercenter#2318D13
hypocenterC13#34251
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
2. #13117775C2semidirect
3. #13117773C2semidirect
4. #13117771C2semidirect
5. #13117769C2semidirect
6. #13117764C2semidirect
7. #13117762C2semidirect
8. #13117760C2semidirect
9. #13117758C2semidirect
10. #13117695C2semidirect
11. #13117693C2semidirect
12. #13117691C2semidirect
13. #13117689C2semidirect
14. #13117684C2semidirect
15. #13117682C2semidirect
16. #13117680C2semidirect
17. #13117678C2semidirect
18. #13117470C2semidirect
19. #13117464C2semidirect
20. #13117462C2semidirect
21. #13117447C2semidirect
23. #13117281C2semidirect
24. #13117276C2semidirect
25. #13117275C2semidirect
26. #13117272C2semidirect
28. D13×#385C2semidirect
29. #13117188C2semidirect
30. C2×#11718327C2semidirect
31. C13×#2318C2semidirect
41. C2×#88180C22semidirect
42. C22×C4×Dic13C22semidirect
43. C22×C4×Dic13C22semidirect
44. #11719250C4semidirect
47. C2×#88146C22semidirect
48. C2×C4⋊C4×D13C22semidirect
49. C2×C4⋊C4×D13C22semidirect
58. C2×#88131C22semidirect
61. C2×#88126C22semidirect
62. C13×#388C22semidirect
63. C13×#388C22semidirect
64. C13×#387C22semidirect
65. C13×#387C22semidirect
68. C13×#385C22semidirect
69. C13×#385C22semidirect
70. C13×#383C22semidirect
71. C13×#382C22semidirect
72. C13×#381C22semidirect
73. C13×#380C22semidirect
74. C4×C13×C22⋊C4C22semidirect
75. C2×C13×#95C22semidirect
80. #11718871C22semidirect
81. #11718871C22semidirect
82. C4×C22⋊Dic13C22semidirect
83. C4×C22⋊Dic13C22semidirect
84. C2×#88071C22semidirect
85. #11718651C22semidirect
86. #11718651C22semidirect
91. #11718648C22semidirect
92. #11718648C22semidirect
93. #11718648C22semidirect
94. #11718642C22semidirect
95. #11718642C22semidirect
96. #11718639C22semidirect
97. #11718639C22semidirect
98. #11718638C22semidirect
99. C4⋊C4×Dic13C22semidirect
108. #11718612C22semidirect
109. #11718612C22semidirect
110. #11718611C22semidirect
111. #11718611C22semidirect
112. #11718607C22semidirect
113. #11718607C22semidirect
114. #11718606C22semidirect
115. #11718606C22semidirect
116. #11718605C22semidirect
117. #11718605C22semidirect
118. #11718604C22semidirect
119. #11718603C22semidirect
120. C22⋊C4×Dic13C22semidirect
121. C22⋊C4×Dic13C22semidirect
122. C22⋊C4×Dic13C22semidirect
125. C4×#6103C22semidirect
126. C4×#6103C22semidirect
127. C4×#6103C22semidirect
128. C4×C4⋊Dic13C22semidirect
129. #11718593C22semidirect
130. #11718593C22semidirect
131. C4×#6101C22semidirect
132. #11718331C22semidirect
133. #11718331C22semidirect
134. #11718330C22semidirect
135. #11718330C22semidirect
136. #11718330C22semidirect
137. #11718330C22semidirect
142. #11718328C22semidirect
143. #11718328C22semidirect
144. #11718328C22semidirect
151. #11718327C22semidirect
152. #11718327C22semidirect
153. #11718327C22semidirect
154. #11718327C22semidirect
155. #11718327C22semidirect
156. #11718327C22semidirect
157. #11718327C22semidirect
164. #11718325C22semidirect
165. #11718325C22semidirect
168. D13×#95C22semidirect
169. D13×#95C22semidirect
170. #11718316C22semidirect
171. #11718316C22semidirect
172. #11718315C22semidirect
173. #11718315C22semidirect
174. #11718314C22semidirect
175. #11718314C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718313C22semidirect
179. #11718313C22semidirect
180. #11718312C22semidirect
181. #11718312C22semidirect
182. #11718312C22semidirect
183. #11718311C22semidirect
184. #11718311C22semidirect
185. #11718310C22semidirect
186. #11718309C22semidirect
187. #11718309C22semidirect
221. C4×D4×C13C2×C4semidirect
246. D4×Dic13C2×C4semidirect
247. C4×C22⋊D13C2×C4semidirect
248. C4×C22⋊D13C2×C4semidirect
251. C2×#6103C2×C4semidirect
311. #88147C2×C4semidirect
313. #88146C2×C4semidirect
316. #88135C2×C4semidirect
317. #88135C2×C4semidirect
323. C22⋊C4×D13C2×C4semidirect
325. C4×D52C2×C4semidirect
327. #88126C2×C4semidirect
410. C22×C4×C13C22×C4semidirect
441. C22×Dic13C22×C4semidirect
497. C2×C4×D13C22×C4semidirect
498. C2×C4×D13C22×C4semidirect
503. C13×C4⋊C4C22×C4semidirect
511. C13×C22⋊C4C22×C4semidirect
514. C42×C13C22×C4semidirect
522. C22⋊Dic13C22×C4semidirect
545. #6103C22×C4semidirect
546. #6103C22×C4semidirect
551. C4⋊Dic13C22×C4semidirect
560. #6101C22×C4semidirect
561. #6101C22×C4semidirect
576. C4×Dic13C22×C4semidirect
577. C4×Dic13C22×C4semidirect
578. C4×Dic13C22×C4semidirect
599. #2318D13semidirect
652. C22×D13#117semidirect
807. #388C2×D13semidirect
808. #388C2×D13semidirect
823. #387C2×D13semidirect
824. #387C2×D13semidirect
855. #385C2×D13semidirect
856. #385C2×D13semidirect
860. #383C2×D13semidirect
864. #382C2×D13semidirect
870. #381C2×D13semidirect
878. #380C2×D13semidirect
908. C4×C22⋊C4C2×D13semidirect
918. C2×#95C2×D13semidirect
1029. C4×D4C4×D13semidirect
1297. C22×C4C2×C4×D13semidirect
1330. C4⋊C4C2×C4×D13semidirect
1370. C22⋊C4C2×C4×D13semidirect
1390. C42C2×C4×D13semidirect
1391. C13#34251semidirect

Maximal subgroups

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

subgroupindex
C2×#117192502
#131177752
#131177732
#131177712
#131177692
#131177642
#131177622
#131177602
#131177582
#131176952
#131176932
#131176912
#131176892
#131176842
#131176822
#131176802
#131176782
#131174702
#131174642
#131174622
#131174472
#131174102
#131172812
#131172762
#131172752
#131172722
D13×#3862
D13×#3852
#131171882
C2×#117183272
C13×#23182
#3425113