Finite Group Databasebeta

← #16023879

Subgroups — #16023879

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#13117774C211yesmaximal, characteristic, complemented
3#13117772C211yesmaximal, characteristic, complemented
4#13117770C211yesmaximal, characteristic, complemented
5#13117767C211yesmaximal, characteristic, complemented
6#13117765C211yesmaximal, characteristic, complemented
7#13117763C211yesmaximal, characteristic, complemented
8#13117759C211yesmaximal, characteristic, complemented
9#13117697C211yesmaximal, characteristic, complemented
10#13117695C211yesmaximal, characteristic, complemented
11#13117693C211yesmaximal, characteristic, complemented
12#13117691C211yesmaximal, characteristic, complemented
13#13117688C211yesmaximal, characteristic, complemented
14#13117684C211yesmaximal, characteristic, complemented
15#13117680C211yesmaximal, characteristic, complemented
16#13117678C211yesmaximal, characteristic, complemented
17#13117468C211yesmaximal, characteristic, complemented
18#13117467C211yesmaximal, characteristic, complemented
19#13117466C211yesmaximal, characteristic, complemented
20#13117465C211yesmaximal, characteristic, complemented
21#13117449C211yesmaximal, characteristic, complemented
22#13117410C211yesmaximal, characteristic
23#13117282C211yesmaximal, characteristic, complemented
24#13117280C211yesmaximal, characteristic, complemented
25#13117278C211yesmaximal, characteristic, complemented
26#13117274C211yesmaximal, characteristic, complemented
27D13×#386C211yesmaximal, characteristic
28C2×#11718329C211yesmaximal, characteristic, complemented
29#13117188C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2353C211yesmaximal, 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×#6101C2211yescharacteristic, complemented
44#11719250C4116yescomplemented
45C2×#88147C2211yescharacteristic
46C2×#88146C2211yescharacteristic
47C2×#88146C2211yescharacteristic, complemented
48C2×#88135C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×#88131C2211yescharacteristic, complemented
57C2×C4×D52C2211yescharacteristic
58C2×#88126C2211yescharacteristic
59C2×#88126C2211yescharacteristic, complemented
60C2×C42×D13C2211yescharacteristic, complemented
61C2×C42×D13C2211yescharacteristic, complemented
62C13×#388C2211yescharacteristic, complemented
63C13×#388C2211yescharacteristic, complemented
64C13×#387C2211yescharacteristic, complemented
65C13×#387C2211yescharacteristic, complemented
66C13×#386C2211yescharacteristic
67C13×#386C2211yescharacteristic
68C13×#383C2211yescharacteristic, complemented
69C13×#381C2211yescharacteristic, complemented
70C13×#380C2211yescharacteristic, complemented
71C4×C13×C22⋊C4C2211yescharacteristic, complemented
72C4×C13×C22⋊C4C2211yescharacteristic, complemented
73C4×C13×C22⋊C4C2211yescharacteristic, complemented
74C13×#376C2211yescharacteristic, complemented
75C2×C13×#95C2211yescharacteristic, complemented
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718874C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718873C2211yescharacteristic, complemented
81#11718873C2211yescharacteristic, complemented
82C4×C22⋊Dic13C2211yescharacteristic, complemented
83C4×C22⋊Dic13C2211yescharacteristic, complemented
84C2×#88071C2211yescharacteristic, complemented
85#11718650C2211yescharacteristic
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic, complemented
88#11718650C2211yescharacteristic, complemented
89#11718648C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718638C2211yescharacteristic, complemented
93C4⋊C4×Dic13C2211yescharacteristic, complemented
94#11718619C2211yescharacteristic
95#11718619C2211yescharacteristic
96#11718617C2211yescharacteristic
97#11718617C2211yescharacteristic
98#11718617C2211yescharacteristic
99#11718617C2211yescharacteristic
100#11718616C2211yescharacteristic
101#11718616C2211yescharacteristic
102#11718612C2211yescharacteristic, complemented
103#11718612C2211yescharacteristic, complemented
104#11718606C2211yescharacteristic, complemented
105#11718606C2211yescharacteristic, complemented
106#11718605C2211yescharacteristic, complemented
107#11718605C2211yescharacteristic, complemented
108#11718604C2211yescharacteristic, complemented
109#11718603C2211yescharacteristic, complemented
110#11718603C2211yescharacteristic, complemented
111#11718603C2211yescharacteristic, complemented
112C22⋊C4×Dic13C2211yescharacteristic, complemented
113C22⋊C4×Dic13C2211yescharacteristic, complemented
114C22⋊C4×Dic13C2211yescharacteristic, complemented
115C22⋊C4×Dic13C2211yescharacteristic, complemented
116C22⋊C4×Dic13C2211yescharacteristic, complemented
117#11718601C2211yescharacteristic, complemented
118#11718601C2211yescharacteristic, complemented
119C4×#6103C2211yescharacteristic
120C4×#6103C2211yescharacteristic
121C4×#6103C2211yescharacteristic
122C4×#6103C2211yescharacteristic
123C4×#6103C2211yescharacteristic, complemented
124C4×#6103C2211yescharacteristic, complemented
125C4×#6103C2211yescharacteristic, complemented
126#11718597C2211yescharacteristic, complemented
127C4×C4⋊Dic13C2211yescharacteristic, complemented
128#11718594C2211yescharacteristic, complemented
129#11718594C2211yescharacteristic, complemented
130#11718593C2211yescharacteristic, complemented
131C4×#6101C2211yescharacteristic, complemented
132#11718331C2211yescharacteristic, complemented
133#11718331C2211yescharacteristic, complemented
134#11718331C2211yescharacteristic, complemented
135#11718331C2211yescharacteristic, complemented
136#11718330C2211yescharacteristic, complemented
137#11718330C2211yescharacteristic, complemented
138#11718329C2211yescharacteristic
139#11718329C2211yescharacteristic
140#11718329C2211yescharacteristic
141#11718329C2211yescharacteristic
142#11718329C2211yescharacteristic
143#11718329C2211yescharacteristic
144#11718329C2211yescharacteristic, complemented
145#11718329C2211yescharacteristic, complemented
146#11718329C2211yescharacteristic, complemented
147#11718329C2211yescharacteristic, complemented
148#11718329C2211yescharacteristic, complemented
149#11718329C2211yescharacteristic, complemented
150#11718328C2211yescharacteristic, complemented
151#11718327C2211yescharacteristic
152#11718327C2211yescharacteristic
153#11718327C2211yescharacteristic
154#11718327C2211yescharacteristic
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#11718316C2211yescharacteristic, complemented
173#11718316C2211yescharacteristic, complemented
174#11718315C2211yescharacteristic, complemented
175#11718315C2211yescharacteristic, complemented
176#11718314C2211yescharacteristic, complemented
177#11718314C2211yescharacteristic, 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×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
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⋊Dic13—42no—
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×#6101—42no—
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
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
314#88135C2×C418yescomplemented
315#88135C2×C418yescomplemented
316C22⋊C4×D13—24no—
317C22⋊C4×D13—24no—
318C22⋊C4×D13—42no—
319C22⋊C4×D13—42no—
320C22⋊C4×D13C2×C418yes—
321C22⋊C4×D13C2×C418yescomplemented
322#88131—42no—
323C4×D52C2×C418yescomplemented
324#88126—42no—
325#88126C2×C418yescomplemented
326C42×D13—42no—
327C42×D13—42no—
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—22no—
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—41no—
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—416no—
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—41no—
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⋊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⋊C4C22×C414yes—
509C13×C22⋊C4C22×C414yescomplemented
510C42×C13—22no—
511C42×C13—41no—
512C42×C13—41no—
513C42×C13—41no—
514C42×C13C22×C414yescomplemented
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—41no—
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⋊Dic13—41no—
552C4⋊Dic13—41no—
553C4⋊Dic13C22×C414yescomplemented
554#6101—22no—
555#6101—22no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101C22×C414yescomplemented
563#6101C22×C414yescomplemented
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—22no—
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#2353D1311yescharacteristic, complemented
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#2318—131no—
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—44no—
695C2×C4×C13—44no—
696C2×C4×C13—44no—
697C2×C4×C13—82no—
698C2×C4×C13C23×C412yes—
699C2×C4×C13C23×C412yes—
700C2×C4×C13C23×C412yes—
701C2×C4×C13C23×C412yes—
702C2×C4×C13C23×C412yes—
703C2×C4×C13H(5,𝔽2)12yes—
704C22⋊D13—28no—
705C22⋊D13—28no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—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×Dic13—82no—
743C2×Dic13C23×C412yes—
744C2×Dic13C23×C412yes—
745C2×Dic13C23×C412yes—
746C2×Dic13C23×C412yes—
747C2×Dic13C23×C412yes—
748C2×Dic13H(5,𝔽2)12yes—
749D52—28no—
750C4×D13—28no—
751C4×D13—28no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758C4×D13—44no—
759C4×D13—44no—
760C4×D13—44no—
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#385—131no—
856#385—131no—
857#383—131no—
858#383—131no—
859#383—131no—
860#383C2×D1311yescharacteristic, complemented
861#382—131no—
862#382—131no—
863#382—131no—
864#382—131no—
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⋊C4C2×D1311yescharacteristic, complemented
907C4×C22⋊C4C2×D1311yescharacteristic, complemented
908C4×C22⋊C4C2×D1311yescharacteristic, complemented
909#376—131no—
910#376—131no—
911#376—131no—
912#376C2×D1311yescharacteristic, complemented
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—22no—
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—41no—
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—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—522no—
1054C2×C4⋊C4—522no—
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—522no—
1123C2×C42—522no—
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
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—22no—
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—134no—
1238C22×C4—134no—
1239C22×C4—134no—
1240C22×C4—134no—
1241C22×C4—134no—
1242C22×C4—134no—
1243C22×C4—134no—
1244C22×C4—131no—
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—521no—
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—5216no—
1289C22×C4—521no—
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—134no—
1314C4⋊C4—134no—
1315C4⋊C4—134no—
1316C4⋊C4—262no—
1317C4⋊C4—262no—
1318C4⋊C4—262no—
1319C4⋊C4—262no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
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—22no—
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—521no—
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—22no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—134no—
1376C42—134no—
1377C42—134no—
1378C42—262no—
1379C42—262no—
1380C42—262no—
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—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—82no—
1483C2×C4—132no—
1484C2×C4—132no—
1485C2×C4—132no—
1486C2×C4—132no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—268no—
1490C2×C4—268no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—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—524no—
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×C4C22×C4×D1312yes—
1540C2×C4C22×C4×D1312yes—
1541C2×C4C22×C4×D1312yes—
1542C2×C4C22×C4×D1312yes—
1543C2×C4C22×C4×D1312yes—
1544C2×C4#8825612yes—
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
1585C22C2×#8825611yescharacteristic
1586C22#1171964811yescharacteristic
1587C22D13×H(5,𝔽2)11yescharacteristic
1588C22#1171965011yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
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—521no—
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
1622C2C4×#8825611yescharacteristic
1623C2#1312852011yescharacteristic
1624C2#1312852711yescharacteristic
1625C2#1312866511yescharacteristic
1626C2#1312866911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2353C2
socle, cosocleC23×C13C25
prime radicalC22×D4×D13C22
hypercenter#2353D13
hypocenterC13#34251
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. #13117774C2semidirect
3. #13117772C2semidirect
4. #13117770C2semidirect
5. #13117767C2semidirect
6. #13117765C2semidirect
7. #13117763C2semidirect
8. #13117759C2semidirect
9. #13117697C2semidirect
10. #13117695C2semidirect
11. #13117693C2semidirect
12. #13117691C2semidirect
13. #13117688C2semidirect
14. #13117684C2semidirect
15. #13117680C2semidirect
16. #13117678C2semidirect
17. #13117468C2semidirect
18. #13117467C2semidirect
19. #13117466C2semidirect
20. #13117465C2semidirect
21. #13117449C2semidirect
23. #13117282C2semidirect
24. #13117280C2semidirect
25. #13117278C2semidirect
26. #13117274C2semidirect
28. C2×#11718329C2semidirect
29. #13117188C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2353C2semidirect
41. C2×#88180C22semidirect
42. C22×C4⋊Dic13C22semidirect
43. C22×#6101C22semidirect
44. #11719250C4semidirect
47. C2×#88146C22semidirect
56. C2×#88131C22semidirect
59. C2×#88126C22semidirect
60. C2×C42×D13C22semidirect
61. C2×C42×D13C22semidirect
62. C13×#388C22semidirect
63. C13×#388C22semidirect
64. C13×#387C22semidirect
65. C13×#387C22semidirect
68. C13×#383C22semidirect
69. C13×#381C22semidirect
70. C13×#380C22semidirect
71. C4×C13×C22⋊C4C22semidirect
72. C4×C13×C22⋊C4C22semidirect
73. C4×C13×C22⋊C4C22semidirect
74. C13×#376C22semidirect
75. C2×C13×#95C22semidirect
80. #11718873C22semidirect
81. #11718873C22semidirect
82. C4×C22⋊Dic13C22semidirect
83. C4×C22⋊Dic13C22semidirect
84. C2×#88071C22semidirect
87. #11718650C22semidirect
88. #11718650C22semidirect
89. #11718648C22semidirect
90. #11718642C22semidirect
91. #11718642C22semidirect
92. #11718638C22semidirect
93. C4⋊C4×Dic13C22semidirect
102. #11718612C22semidirect
103. #11718612C22semidirect
104. #11718606C22semidirect
105. #11718606C22semidirect
106. #11718605C22semidirect
107. #11718605C22semidirect
108. #11718604C22semidirect
109. #11718603C22semidirect
110. #11718603C22semidirect
111. #11718603C22semidirect
112. C22⋊C4×Dic13C22semidirect
113. C22⋊C4×Dic13C22semidirect
114. C22⋊C4×Dic13C22semidirect
115. C22⋊C4×Dic13C22semidirect
116. C22⋊C4×Dic13C22semidirect
117. #11718601C22semidirect
118. #11718601C22semidirect
123. C4×#6103C22semidirect
124. C4×#6103C22semidirect
125. C4×#6103C22semidirect
126. #11718597C22semidirect
127. C4×C4⋊Dic13C22semidirect
128. #11718594C22semidirect
129. #11718594C22semidirect
130. #11718593C22semidirect
131. C4×#6101C22semidirect
132. #11718331C22semidirect
133. #11718331C22semidirect
134. #11718331C22semidirect
135. #11718331C22semidirect
136. #11718330C22semidirect
137. #11718330C22semidirect
144. #11718329C22semidirect
145. #11718329C22semidirect
146. #11718329C22semidirect
147. #11718329C22semidirect
148. #11718329C22semidirect
149. #11718329C22semidirect
150. #11718328C22semidirect
155. #11718327C22semidirect
156. #11718327C22semidirect
157. #11718327C22semidirect
164. #11718325C22semidirect
165. #11718325C22semidirect
168. D13×#95C22semidirect
169. D13×#95C22semidirect
170. #11718316C22semidirect
171. #11718316C22semidirect
172. #11718316C22semidirect
173. #11718316C22semidirect
174. #11718315C22semidirect
175. #11718315C22semidirect
176. #11718314C22semidirect
177. #11718314C22semidirect
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
314. #88135C2×C4semidirect
315. #88135C2×C4semidirect
321. C22⋊C4×D13C2×C4semidirect
323. C4×D52C2×C4semidirect
325. #88126C2×C4semidirect
410. C22×C4×C13C22×C4semidirect
441. C22×Dic13C22×C4semidirect
497. C2×C4×D13C22×C4semidirect
498. C2×C4×D13C22×C4semidirect
501. C13×C4⋊C4C22×C4semidirect
509. C13×C22⋊C4C22×C4semidirect
514. C42×C13C22×C4semidirect
522. C22⋊Dic13C22×C4semidirect
545. #6103C22×C4semidirect
546. #6103C22×C4semidirect
553. C4⋊Dic13C22×C4semidirect
562. #6101C22×C4semidirect
563. #6101C22×C4semidirect
576. C4×Dic13C22×C4semidirect
577. C4×Dic13C22×C4semidirect
578. C4×Dic13C22×C4semidirect
583. #2353D13semidirect
652. C22×D13#117semidirect
807. #388C2×D13semidirect
808. #388C2×D13semidirect
823. #387C2×D13semidirect
824. #387C2×D13semidirect
860. #383C2×D13semidirect
870. #381C2×D13semidirect
878. #380C2×D13semidirect
906. C4×C22⋊C4C2×D13semidirect
907. C4×C22⋊C4C2×D13semidirect
908. C4×C22⋊C4C2×D13semidirect
912. #376C2×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
#131177742
#131177722
#131177702
#131177672
#131177652
#131177632
#131177592
#131176972
#131176952
#131176932
#131176912
#131176882
#131176842
#131176802
#131176782
#131174682
#131174672
#131174662
#131174652
#131174492
#131174102
#131172822
#131172802
#131172782
#131172742
D13×#3862
C2×#117183292
#131171882
C4×C22⋊C4×D132
C13×#23532
#3425113