Finite Group Databasebeta

← #16030707

Subgroups — #16030707

Order 3328.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719411C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13119093C211yesmaximal, characteristic, complemented
4#13119086C211yesmaximal, characteristic, complemented
5#13118975C211yesmaximal, characteristic, complemented
6#13118968C211yesmaximal, characteristic, complemented
7#13118872C211yesmaximal, characteristic, complemented
8#13118782C211yesmaximal, characteristic, complemented
9#13118775C211yesmaximal, characteristic, complemented
10#13118667C211yesmaximal, characteristic, complemented
11#13118593C211yesmaximal, characteristic, complemented
12#13118503C211yesmaximal, characteristic, complemented
13#13118386C211yesmaximal, characteristic, complemented
14#13118320C211yesmaximal, characteristic, complemented
15#13118227C211yesmaximal, characteristic, complemented
16#13118203C211yesmaximal, characteristic
17#13118158C211yesmaximal, characteristic, complemented
18#13118124C211yesmaximal, characteristic, complemented
19#13118101C211yesmaximal, characteristic, complemented
20#13118075C211yesmaximal, characteristic, complemented
21#13118071C211yesmaximal, characteristic, complemented
22#13117370C211yesmaximal, characteristic, complemented
23#13117363C211yesmaximal, characteristic, complemented
24#13117352C211yesmaximal, characteristic, complemented
25#13117341C211yesmaximal, characteristic, complemented
26#13117341C211yesmaximal, characteristic, complemented
27#13117278C211yesmaximal, characteristic, complemented
28#13117274C211yesmaximal, characteristic, complemented
29#13117218C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2467C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#126C2211yescharacteristic, complemented
36C2×C4×D4×C13C2211yescharacteristic
37C2×#88192C2211yescharacteristic
38C2×#88191C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×D4×Dic13C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic, complemented
42C2×D4×Dic13C2211yescharacteristic, complemented
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45#11719411—28no—
46C4×D4×D13—28no—
47C2×#88150C2211yescharacteristic
48C2×#88150C2211yescharacteristic, complemented
49C2×#88148C2211yescharacteristic
50C2×#88147C2211yescharacteristic
51C2×#88146C2211yescharacteristic, complemented
52C2×#88146C2211yescharacteristic, complemented
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×#88143C2211yescharacteristic, complemented
55C2×#88141C2211yescharacteristic, complemented
56C2×#88139C2211yescharacteristic, complemented
57C2×#88138C2211yescharacteristic
58C2×#88137C2211yescharacteristic
59C2×#88137C2211yescharacteristic, complemented
60C2×#88135C2211yescharacteristic
61C2×#88135C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×#88135C2211yescharacteristic, complemented
64C2×#88135C2211yescharacteristic, complemented
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×#88131C2211yescharacteristic, complemented
70C2×#88130C2211yescharacteristic, complemented
71C2×C4×D52C2211yescharacteristic
72C2×C42×D13C2211yescharacteristic
73C2×C42×D13C2211yescharacteristic, complemented
74C2×C42×D13C2211yescharacteristic, complemented
75C13×#399C2211yescharacteristic, complemented
76C13×#394C2211yescharacteristic
77C13×#394C2211yescharacteristic, complemented
78C13×#392C2211yescharacteristic
79C13×#390C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#388C2211yescharacteristic, complemented
82C13×#387C2211yescharacteristic, complemented
83C13×#387C2211yescharacteristic, complemented
84C13×#386C2211yescharacteristic, complemented
85C13×#386C2211yescharacteristic, complemented
86C13×#380C2211yescharacteristic, complemented
87C4×C13×C22⋊C4C2211yescharacteristic, complemented
88#11718884C2211yescharacteristic
89#11718883C2211yescharacteristic
90#11718883C2211yescharacteristic
91#11718883C2211yescharacteristic, complemented
92#11718883C2211yescharacteristic, complemented
93#11718873C2211yescharacteristic, complemented
94#11718871C2211yescharacteristic, complemented
95#11718871C2211yescharacteristic, complemented
96C4×C22⋊Dic13C2211yescharacteristic, complemented
97#11718654C2211yescharacteristic, complemented
98#11718654C2211yescharacteristic, complemented
99#11718650C2211yescharacteristic
100#11718650C2211yescharacteristic
101#11718650C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718648C2211yescharacteristic
104#11718648C2211yescharacteristic
105#11718648C2211yescharacteristic, complemented
106#11718647C2211yescharacteristic, complemented
107#11718644C2211yescharacteristic, complemented
108#11718643C2211yescharacteristic, complemented
109#11718642C2211yescharacteristic, complemented
110C4⋊C4×Dic13C2211yescharacteristic, complemented
111C4⋊C4×Dic13C2211yescharacteristic, complemented
112#11718622C2211yescharacteristic
113#11718622C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic, complemented
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic, complemented
123#11718617C2211yescharacteristic, complemented
124#11718617C2211yescharacteristic, complemented
125#11718616C2211yescharacteristic
126#11718616C2211yescharacteristic
127#11718616C2211yescharacteristic
128#11718616C2211yescharacteristic
129#11718614C2211yescharacteristic, complemented
130#11718614C2211yescharacteristic, complemented
131#11718613C2211yescharacteristic, complemented
132#11718613C2211yescharacteristic, complemented
133#11718612C2211yescharacteristic, complemented
134#11718609C2211yescharacteristic, complemented
135#11718609C2211yescharacteristic, complemented
136#11718609C2211yescharacteristic, complemented
137#11718609C2211yescharacteristic, complemented
138#11718608C2211yescharacteristic, complemented
139#11718608C2211yescharacteristic, complemented
140#11718606C2211yescharacteristic, complemented
141#11718606C2211yescharacteristic, complemented
142#11718605C2211yescharacteristic, complemented
143C22⋊C4×Dic13C2211yescharacteristic, complemented
144C22⋊C4×Dic13C2211yescharacteristic, complemented
145C22⋊C4×Dic13C2211yescharacteristic, complemented
146C22⋊C4×Dic13C2211yescharacteristic, complemented
147C22⋊C4×Dic13C2211yescharacteristic, complemented
148C22⋊C4×Dic13C2211yescharacteristic, complemented
149C22⋊C4×Dic13C2211yescharacteristic, complemented
150#11718601C2211yescharacteristic, complemented
151C4×#6103C2211yescharacteristic
152C4×#6103C2211yescharacteristic
153#11718594C2211yescharacteristic, complemented
154#11718594C2211yescharacteristic, complemented
155#11718594C2211yescharacteristic, complemented
156#11718589C2211yescharacteristic, complemented
157#11718335C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718329C2211yescharacteristic
160#11718329C2211yescharacteristic
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic
163#11718329C2211yescharacteristic, complemented
164#11718329C2211yescharacteristic, complemented
165#11718329C2211yescharacteristic, complemented
166#11718328C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718327C2211yescharacteristic
169#11718327C2211yescharacteristic
170#11718327C2211yescharacteristic, complemented
171#11718327C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic
173#11718326C2211yescharacteristic
174#11718325C2211yescharacteristic, complemented
175#11718325C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177D13×#95C2211yescharacteristic, complemented
178D13×#95C2211yescharacteristic, complemented
179#11718322C2211yescharacteristic, complemented
180#11718322C2211yescharacteristic, complemented
181#11718320C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718309C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C2×D4×D13—24no—
205C2×D4×D13—24no—
206C2×D4×D13—24no—
207C22×D52C2311yescharacteristic
208C22×C4×D13—24no—
209C22×C4×D13—24no—
210C22×C4×D13—24no—
211C22×C4×D13—24no—
212C22×C4×D13—42no—
213C22×C4×D13—42no—
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×Dic26C2311yescharacteristic
228C13×#126—24no—
229C4×D4×C13—24no—
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251C2×C42×C13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266#88192—24no—
267#88191—24no—
268#88191—24no—
269D4×Dic13—24no—
270D4×Dic13—42no—
271D4×Dic13—42no—
272C4×C22⋊D13—24no—
273C4×C22⋊D13—24no—
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327#88150—24no—
328#88150—24no—
329#88148—24no—
330#88147D418yescomplemented
331#88146—24no—
332#88146—42no—
333C4⋊C4×D13—24no—
334#88143—24no—
335#88141—24no—
336#88139—24no—
337#88138—24no—
338#88137—24no—
339#88137—24no—
340#88135—24no—
341#88135—24no—
342#88135—24no—
343#88135—24no—
344#88135—24no—
345C22⋊C4×D13—24no—
346C22⋊C4×D13—24no—
347C22⋊C4×D13—24no—
348C22⋊C4×D13—24no—
349#88131—24no—
350#88130—24no—
351C4×D52—24no—
352C42×D13—24no—
353C42×D13—24no—
354C42×D13—42no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34670—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13#4114yes—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—41no—
419C2×D4×C13—41no—
420C2×D4×C13—41no—
421C22×C4×C13—22no—
422C22×C4×C13—22no—
423C22×C4×C13—22no—
424C22×C4×C13—22no—
425C22×C4×C13—41no—
426C22×C4×C13—41no—
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
451C2×C22⋊D13—22no—
452C2×C22⋊D13—41no—
453C2×C22⋊D13#4114yes—
454C22×Dic13—22no—
455C22×Dic13—22no—
456C22×Dic13—22no—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476D4×D13—232no—
477C2×D52—22no—
478C2×D52—22no—
479C2×D52C2×D414yes—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—416no—
508C2×C4×D13—416no—
509C2×C4×D13—41no—
510C2×C4×D13—41no—
511C2×C4×D13—41no—
512C2×C4×D13—41no—
513C2×C4×D13—41no—
514C2×C4×D13—41no—
515C2×C4×D13—41no—
516C2×C4×D13—41no—
517C2×C4×D13—41no—
518C2×C4×D13C2×D414yes—
519C2×C4×D13C2×D414yes—
520C2×C4×D13#4114yes—
521C2×Dic26—22no—
522C2×Dic26—22no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—41no—
528C13×C4⋊C4—41no—
529C13×C4⋊C4C2×D414yes—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C42×C13—22no—
544C42×C13—22no—
545C42×C13—41no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—41no—
557C22⋊Dic13—41no—
558C22⋊Dic13—41no—
559C22⋊Dic13—41no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
573#6103—22no—
574#6103—22no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103C2×D414yes—
579#6103C2×D414yes—
580#6103#4114yes—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—41no—
586C4⋊Dic13—41no—
587C4⋊Dic13—41no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—41no—
601C4×Dic13—22no—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×Dic13C2×D414yes—
613C2×#529—131no—
614C22×C4×D4—131no—
615#2481—131no—
616#2480—131no—
617#2473—131no—
618#2472—131no—
619#2467D1311yescharacteristic, complemented
620#2466—131no—
621#2460—131no—
622#2459—131no—
623#2450—131no—
624#2444—131no—
625#2437—131no—
626#2425—131no—
627#2419—131no—
628#2412—131no—
629#2410—131no—
630#2405—131no—
631#2398—131no—
632#2395—131no—
633#2392—131no—
634#2392—131no—
635C4×C22⋊Q8—131no—
636C4×#123—131no—
637C4×#121—131no—
638C4×#120—131no—
639C4×#120—131no—
640#2290—131no—
641#2290—131no—
642#2280—131no—
643C2×C4×C22⋊C4—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—21no—
662C23×C13—21no—
663C23×C13C2×#4112yes—
664C23×C13C2×#4112yes—
665C23×C13C2511yescharacteristic
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—28no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—28no—
682C22×D13—28no—
683C22×D13—44no—
684C22×D13—44no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13C22×D412yes—
695C22×D13C22×D412yes—
696C22×D13C2×#4112yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701D4×C13—28no—
702D4×C13—44no—
703D4×C13—44no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13C22×D412yes—
738C2×C4×C13C22×D412yes—
739C2×C4×C13C22×D412yes—
740C2×C4×C13C2×#4112yes—
741C2×C4×C13C2×#4112yes—
742C22⋊D13—28no—
743C22⋊D13—28no—
744C22⋊D13—44no—
745C22⋊D13—44no—
746C22⋊D13—44no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—44no—
781C2×Dic13—44no—
782C2×Dic13—44no—
783C2×Dic13C22×D412yes—
784C2×Dic13C22×D412yes—
785C2×Dic13C2×#4112yes—
786C2×Dic13C2×#4112yes—
787C2×Dic13C2×#4112yes—
788C2×Dic13H(5,𝔽2)12yes—
789D52—28no—
790C4×D13—28no—
791C4×D13—28no—
792C4×D13—28no—
793C4×D13—28no—
794C4×D13—44no—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—44no—
803Dic26—44no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#529—268no—
808C2×#126—131no—
809C2×#126C2×D1311yescharacteristic, complemented
810C2×#125—131no—
811C2×#124—131no—
812C2×#123—131no—
813C2×#123—131no—
814C2×#123—131no—
815C2×C22⋊Q8—131no—
816C2×C22⋊Q8—131no—
817C2×#121—131no—
818C2×#121—131no—
819C2×#120—131no—
820C2×#120—131no—
821C2×C4×Q8—131no—
822C2×C4×D4—131no—
823C2×C4×D4—131no—
824C2×C4×D4—131no—
825C2×C4×D4—131no—
826C2×C4×D4—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4—131no—
832C2×C4×D4—131no—
833C2×C4×D4—131no—
834C2×C4×D4—268no—
835C2×C4×D4C2×D1311yescharacteristic
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839C22×C4⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C42—131no—
845C22×C42—131no—
846C22×C42—131no—
847#400—131no—
848#400—131no—
849#400—131no—
850#399C2×D1311yescharacteristic, complemented
851#398—131no—
852#398—131no—
853#398—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#396—131no—
862#396—131no—
863#396—131no—
864#396—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394—131no—
873#394C2×D1311yescharacteristic
874#394C2×D1311yescharacteristic, complemented
875#393—131no—
876#393—131no—
877#392—131no—
878#392C2×D1311yescharacteristic
879#391—131no—
880#390C2×D1311yescharacteristic, complemented
881#389—131no—
882#389—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388C2×D1311yescharacteristic, complemented
890#388C2×D1311yescharacteristic, complemented
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—131no—
897#387C2×D1311yescharacteristic, complemented
898#387C2×D1311yescharacteristic, complemented
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386C2×D1311yescharacteristic, complemented
911#386C2×D1311yescharacteristic, complemented
912#385—131no—
913#385—131no—
914#385—131no—
915#385—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#385—131no—
921#385—131no—
922#385—131no—
923#385—131no—
924#385—131no—
925#381—131no—
926#381—131no—
927#381—131no—
928#380—131no—
929#380—131no—
930#380—131no—
931#380—131no—
932#380—131no—
933#380C2×D1311yescharacteristic, complemented
934#379—131no—
935#379—131no—
936#379—131no—
937#379—131no—
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4—131no—
941C4×C4⋊C4—131no—
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4—131no—
947C4×C22⋊C4—131no—
948C4×C22⋊C4—131no—
949C4×C22⋊C4—131no—
950C4×C22⋊C4—131no—
951C4×C22⋊C4—131no—
952C4×C22⋊C4—131no—
953C4×C22⋊C4—131no—
954C4×C22⋊C4—131no—
955C4×C22⋊C4—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4C2×D1311yescharacteristic, complemented
958#376—131no—
959C2×#95—131no—
960C2×#95—131no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13—41no—
975C22×C13—41no—
976C22×C13—41no—
977C22×C13—41no—
978C22×C13—41no—
979C22×C13—41no—
980C22×C13—41no—
981C22×C13—41no—
982C22×C13C23×D411yescharacteristic
983C22×C13C22×#4111yescharacteristic
984C22×C13C22×#4111yescharacteristic
985C22×C13C22×#4111yescharacteristic
986C22×C13C22×#4111yescharacteristic
987C22×C13C2×H(5,𝔽2)11yescharacteristic
988C22×C13#58511yescharacteristic
989C2×D13—22no—
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—22no—
995C2×D13—22no—
996C2×D13—22no—
997C2×D13—22no—
998C2×D13—22no—
999C2×D13—22no—
1000C2×D13—22no—
1001C2×D13—22no—
1002C2×D13—22no—
1003C2×D13—22no—
1004C2×D13—416no—
1005C2×D13—416no—
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C2×D13—41no—
1010C2×D13#52514yes—
1011C2×D13#52914yescomplemented
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—22no—
1016C4×C13—22no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13#54614yes—
1037C25—131no—
1038C25—131no—
1039C22×Q8—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—264no—
1047C22×D4—264no—
1048C22×D4—264no—
1049C22×D4C22×D1311yescharacteristic
1050C22×D4C22×D1311yescharacteristic
1051C22×D4C22×D1311yescharacteristic
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4—131no—
1064C23×C4—131no—
1065C23×C4—131no—
1066C23×C4—131no—
1067C23×C4—131no—
1068C23×C4—264no—
1069C23×C4—264no—
1070C23×C4—264no—
1071C23×C4—264no—
1072C23×C4—522no—
1073C23×C4—522no—
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—24no—
1077#126—264no—
1078#125—264no—
1079#124—264no—
1080#123—264no—
1081#123—264no—
1082#123—264no—
1083C22⋊Q8—264no—
1084C22⋊Q8—264no—
1085#121—264no—
1086#121—264no—
1087#120—264no—
1088#120—264no—
1089C4×Q8—264no—
1090C4×D4—24no—
1091C4×D4—138no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—522no—
1102C4×D4—522no—
1103#117—264no—
1104#117—264no—
1105#117—522no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—264no—
1127C2×C4⋊C4C22×D1311yescharacteristic
1128C2×C4⋊C4C22×D1311yescharacteristic
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—264no—
1169C2×C22⋊C4—264no—
1170C2×C22⋊C4—264no—
1171C2×C22⋊C4—264no—
1172C2×C22⋊C4C22×D1311yescharacteristic
1173C2×C22⋊C4C22×D1311yescharacteristic
1174C2×C22⋊C4C22×D1311yescharacteristic
1175C2×C22⋊C4C22×D1311yescharacteristic
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C22⋊C4C22×D1311yescharacteristic
1178C2×C22⋊C4C22×D1311yescharacteristic
1179C2×C22⋊C4C22×D1311yescharacteristic
1180C2×C22⋊C4C22×D1311yescharacteristic
1181C2×C22⋊C4C22×D1311yescharacteristic
1182C2×C22⋊C4C22×D1311yescharacteristic
1183C2×C22⋊C4C22×D1311yescharacteristic
1184C2×C22⋊C4C22×D1311yescharacteristic
1185C2×C42—131no—
1186C2×C42—131no—
1187C2×C42—131no—
1188C2×C42—131no—
1189C2×C42—131no—
1190C2×C42—131no—
1191C2×C42—131no—
1192C2×C42—131no—
1193C2×C42—131no—
1194C2×C42—131no—
1195C2×C42—131no—
1196C2×C42—131no—
1197C2×C42—264no—
1198C2×C42—264no—
1199C2×C42—522no—
1200C2×C42C22×D1311yescharacteristic
1201C2×C42C22×D1311yescharacteristic
1202C2×C42C22×D1311yescharacteristic
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95C22×D1311yescharacteristic
1232#95C22×D1311yescharacteristic
1233#95C22×D1311yescharacteristic
1234#95C22×D1311yescharacteristic
1235#95C22×D1311yescharacteristic
1236#95C22×D1311yescharacteristic
1237#95C22×D1311yescharacteristic
1238#95C22×D1311yescharacteristic
1239C2×C13—42no—
1240C2×C13—42no—
1241C2×C13—81no—
1242C2×C13C2×#52511yescharacteristic
1243C2×C13C2×#52911yescharacteristic
1244C2×C13#345911yescharacteristic
1245C2×C13C2×#54611yescharacteristic
1246C2×C13D4×#4111yescharacteristic
1247C2×C13#347511yescharacteristic
1248C2×C13#348111yescharacteristic
1249D13—24no—
1250D13—24no—
1251D13—42no—
1252C24—131no—
1253C24—131no—
1254C24—131no—
1255C24—134no—
1256C24—262no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—521no—
1266C24—521no—
1267C24—521no—
1268C24—521no—
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—262no—
1274C2×Q8—521no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—134no—
1285C2×D4—134no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—2632no—
1291C2×D4—262no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—262no—
1298C2×D4—262no—
1299C2×D4—262no—
1300C2×D4—262no—
1301C2×D4—262no—
1302C2×D4—521no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—131no—
1310C22×C4—131no—
1311C22×C4—131no—
1312C22×C4—131no—
1313C22×C4—134no—
1314C22×C4—134no—
1315C22×C4—134no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—262no—
1326C22×C4—262no—
1327C22×C4—262no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
1338C22×C4—262no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—262no—
1342C22×C4—262no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—262no—
1346C22×C4—262no—
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×C4—521no—
1370C22×C4—5216no—
1371C22×C4—5216no—
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—262no—
1390C4⋊C4—262no—
1391C4⋊C4—262no—
1392C4⋊C4—262no—
1393C4⋊C4—262no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—262no—
1404C4⋊C4—262no—
1405C4⋊C4—521no—
1406C4⋊C4—521no—
1407C4⋊C4—521no—
1408C4⋊C4—521no—
1409C4⋊C4D4×D1314yes—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—134no—
1424C22⋊C4—134no—
1425C22⋊C4—134no—
1426C22⋊C4—262no—
1427C22⋊C4—262no—
1428C22⋊C4—262no—
1429C22⋊C4—262no—
1430C22⋊C4—262no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—262no—
1437C22⋊C4—262no—
1438C22⋊C4—262no—
1439C22⋊C4—262no—
1440C22⋊C4—262no—
1441C22⋊C4—262no—
1442C22⋊C4—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—262no—
1446C22⋊C4—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—262no—
1450C22⋊C4—262no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C42—22no—
1459C42—22no—
1460C42—41no—
1461C42—134no—
1462C42—262no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—262no—
1471C42—262no—
1472C42—521no—
1473C13#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—132no—
1494C23—132no—
1495C23—132no—
1496C23—132no—
1497C23—132no—
1498C23—132no—
1499C23—132no—
1500C23—268no—
1501C23—268no—
1502C23—268no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—261no—
1515C23—261no—
1516C23—261no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23—524no—
1527C23—524no—
1528C23#41×D1312yes—
1529C23#41×D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—524no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—268no—
1536D4—268no—
1537D4—268no—
1538D4—524no—
1539D4—524no—
1540D4—524no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—132no—
1575C2×C4—132no—
1576C2×C4—132no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—132no—
1580C2×C4—268no—
1581C2×C4—268no—
1582C2×C4—268no—
1583C2×C4—268no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—524no—
1618C2×C4—524no—
1619C2×C4—524no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4—524no—
1628C2×C4—524no—
1629C2×C4C2×D4×D1312yes—
1630C2×C4C2×D4×D1312yes—
1631C2×C4C2×D4×D1312yes—
1632C2×C4#41×D1312yes—
1633C2×C4#41×D1312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—134no—
1656C22—134no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—262no—
1661C22—262no—
1662C22—262no—
1663C22—262no—
1664C22—262no—
1665C22—262no—
1666C22—262no—
1667C22—262no—
1668C22—262no—
1669C22—262no—
1670C22—262no—
1671C22—262no—
1672C22—5216no—
1673C22—5216no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22—521no—
1678C22C22×D4×D1311yescharacteristic
1679C22C2×#41×D1311yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#41×D1311yescharacteristic
1683C22D13×H(5,𝔽2)11yescharacteristic
1684C22#1171965011yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—134no—
1698C4—262no—
1699C4—262no—
1700C4—262no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—264no—
1714C2—264no—
1715C2—522no—
1716C2D13×#52511yescharacteristic
1717C2D13×#52911yescharacteristic
1718C2#1312824711yescharacteristic
1719C2D13×#54611yescharacteristic
1720C2#1312832611yescharacteristic
1721C2#1312839511yescharacteristic
1722C2#1312843911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2467C2
prime radical#13118203C2
hypercenter#2467D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#11719411C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13119093C2semidirect
4. #13119086C2semidirect
5. #13118975C2semidirect
6. #13118968C2semidirect
7. #13118872C2semidirect
8. #13118782C2semidirect
9. #13118775C2semidirect
10. #13118667C2semidirect
11. #13118593C2semidirect
12. #13118503C2semidirect
13. #13118386C2semidirect
14. #13118320C2semidirect
15. #13118227C2semidirect
17. #13118158C2semidirect
18. #13118124C2semidirect
19. #13118101C2semidirect
20. #13118075C2semidirect
21. #13118071C2semidirect
22. #13117370C2semidirect
23. #13117363C2semidirect
24. #13117352C2semidirect
25. #13117341C2semidirect
26. #13117341C2semidirect
27. #13117278C2semidirect
28. #13117274C2semidirect
29. #13117218C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2467C2semidirect
35. C2×C13×#126C22semidirect
41. C2×D4×Dic13C22semidirect
42. C2×D4×Dic13C22semidirect
48. C2×#88150C22semidirect
51. C2×#88146C22semidirect
52. C2×#88146C22semidirect
54. C2×#88143C22semidirect
55. C2×#88141C22semidirect
56. C2×#88139C22semidirect
59. C2×#88137C22semidirect
63. C2×#88135C22semidirect
64. C2×#88135C22semidirect
69. C2×#88131C22semidirect
70. C2×#88130C22semidirect
73. C2×C42×D13C22semidirect
74. C2×C42×D13C22semidirect
75. C13×#399C22semidirect
77. C13×#394C22semidirect
79. C13×#390C22semidirect
80. C13×#388C22semidirect
81. C13×#388C22semidirect
82. C13×#387C22semidirect
83. C13×#387C22semidirect
84. C13×#386C22semidirect
85. C13×#386C22semidirect
86. C13×#380C22semidirect
87. C4×C13×C22⋊C4C22semidirect
91. #11718883C22semidirect
92. #11718883C22semidirect
93. #11718873C22semidirect
94. #11718871C22semidirect
95. #11718871C22semidirect
96. C4×C22⋊Dic13C22semidirect
97. #11718654C22semidirect
98. #11718654C22semidirect
101. #11718650C22semidirect
102. #11718650C22semidirect
105. #11718648C22semidirect
106. #11718647C22semidirect
107. #11718644C22semidirect
108. #11718643C22semidirect
109. #11718642C22semidirect
110. C4⋊C4×Dic13C22semidirect
111. C4⋊C4×Dic13C22semidirect
115. #11718620C22semidirect
122. #11718617C22semidirect
123. #11718617C22semidirect
124. #11718617C22semidirect
129. #11718614C22semidirect
130. #11718614C22semidirect
131. #11718613C22semidirect
132. #11718613C22semidirect
133. #11718612C22semidirect
134. #11718609C22semidirect
135. #11718609C22semidirect
136. #11718609C22semidirect
137. #11718609C22semidirect
138. #11718608C22semidirect
139. #11718608C22semidirect
140. #11718606C22semidirect
141. #11718606C22semidirect
142. #11718605C22semidirect
143. C22⋊C4×Dic13C22semidirect
144. C22⋊C4×Dic13C22semidirect
145. C22⋊C4×Dic13C22semidirect
146. C22⋊C4×Dic13C22semidirect
147. C22⋊C4×Dic13C22semidirect
148. C22⋊C4×Dic13C22semidirect
149. C22⋊C4×Dic13C22semidirect
150. #11718601C22semidirect
153. #11718594C22semidirect
154. #11718594C22semidirect
155. #11718594C22semidirect
156. #11718589C22semidirect
157. #11718335C22semidirect
158. #11718330C22semidirect
163. #11718329C22semidirect
164. #11718329C22semidirect
165. #11718329C22semidirect
170. #11718327C22semidirect
171. #11718327C22semidirect
174. #11718325C22semidirect
175. #11718325C22semidirect
176. #11718325C22semidirect
177. D13×#95C22semidirect
178. D13×#95C22semidirect
179. #11718322C22semidirect
180. #11718322C22semidirect
181. #11718320C22semidirect
182. #11718314C22semidirect
183. #11718313C22semidirect
184. #11718310C22semidirect
185. #11718310C22semidirect
186. #11718309C22semidirect
187. #11718308C22semidirect
188. #11718307C22semidirect
330. #88147D4semidirect
619. #2467D13semidirect
809. C2×#126C2×D13semidirect
850. #399C2×D13semidirect
874. #394C2×D13semidirect
880. #390C2×D13semidirect
889. #388C2×D13semidirect
890. #388C2×D13semidirect
897. #387C2×D13semidirect
898. #387C2×D13semidirect
910. #386C2×D13semidirect
911. #386C2×D13semidirect
933. #380C2×D13semidirect
957. C4×C22⋊C4C2×D13semidirect
1011. C2×D13#529semidirect
1473. C13#34670semidirect

Maximal subgroups

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

subgroupindex
C2×#117194112
C2×C4×D4×D132
#131190932
#131190862
#131189752
#131189682
#131188722
#131187822
#131187752
#131186672
#131185932
#131185032
#131183862
#131183202
#131182272
#131182032
#131181582
#131181242
#131181012
#131180752
#131180712
#131173702
#131173632
#131173522
#131173412
#131172782
#131172742
#131172182
C4×C22⋊C4×D132
C13×#24672
#3467013