Finite Group Databasebeta

← #16070465

Subgroups — #16070465

Order 3328.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719266C211yesmaximal, characteristic, complemented
2#13123165C211yesmaximal, characteristic, complemented
3#13123135C211yesmaximal, characteristic, complemented
4#13121751C211yesmaximal, characteristic, complemented
5#13121658C211yesmaximal, characteristic, complemented
6#13121641C211yesmaximal, characteristic, complemented
7#13121602C211yesmaximal, characteristic, complemented
8#13121430C211yesmaximal, characteristic, complemented
9#13121406C211yesmaximal, characteristic, complemented
10#13121382C211yesmaximal, characteristic, complemented
11#13121313C211yesmaximal, characteristic, complemented
12#13121268C211yesmaximal, characteristic, complemented
13#13121238C211yesmaximal, characteristic, complemented
14#13121223C211yesmaximal, characteristic, complemented
15#13121214C211yesmaximal, characteristic, complemented
16#13121137C211yesmaximal, characteristic, complemented
17#13121117C211yesmaximal, characteristic, complemented
18#13121058C211yesmaximal, characteristic, complemented
19#13121040C211yesmaximal, characteristic, complemented
20#13120986C211yesmaximal, characteristic, complemented
21#13120965C211yesmaximal, characteristic, complemented
22#13120525C211yesmaximal, characteristic, complemented
23#13120476C211yesmaximal, characteristic, complemented
24#13120448C211yesmaximal, characteristic, complemented
25#13120435C211yesmaximal, characteristic, complemented
26#13120325C211yesmaximal, characteristic, complemented
27#13119994C211yesmaximal, characteristic, complemented
28#13118265C211yesmaximal, characteristic, complemented
29#13118221C211yesmaximal, characteristic, complemented
30#13117281C211yesmaximal, characteristic, complemented
31C2×C13×#538C211yesmaximal, characteristic, complemented
32C13×#538—28no—
33C2×C13×#126C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic
35C2×C13×#124C2211yescharacteristic
36C2×C13×#124C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic
39C2×C13×C22⋊Q8C2211yescharacteristic
40C2×C13×#121C2211yescharacteristic
41C2×C13×#121C2211yescharacteristic
42C2×C13×#121C2211yescharacteristic
43C2×C13×#120C2211yescharacteristic
44C2×C13×#120C2211yescharacteristic
45C2×C4×D4×C13C2211yescharacteristic
46C2×C4×D4×C13C2211yescharacteristic
47C22×C13×C22⋊C4C2211yescharacteristic
48C2×#88207C2211yescharacteristic
49C2×#88193C2211yescharacteristic
50C2×#88192C2211yescharacteristic
51C2×#88190C2211yescharacteristic
52C2×#88190C2211yescharacteristic
53C2×#88183C2211yescharacteristic
54C2×#88183C2211yescharacteristic, complemented
55C2×#88180C2211yescharacteristic
56C2×#88178C2211yescharacteristic
57C2×#88178C2211yescharacteristic, complemented
58C2×#88178C2211yescharacteristic, complemented
59C22×C4×Dic13C2211yescharacteristic, complemented
60#11719266—28no—
61C2×#88151C2211yescharacteristic, complemented
62C2×#88142C2211yescharacteristic, complemented
63C2×#88139C2211yescharacteristic
64C2×#88139C2211yescharacteristic, complemented
65C2×#88133C2211yescharacteristic
66C2×#88133C2211yescharacteristic, complemented
67C2×#88126C2211yescharacteristic, complemented
68C2×C4×Dic26C2211yescharacteristic, complemented
69#11718908C2211yescharacteristic
70#11718908C2211yescharacteristic
71#11718908C2211yescharacteristic
72#11718892C2211yescharacteristic, complemented
73#11718891C2211yescharacteristic, complemented
74#11718891C2211yescharacteristic, complemented
75#11718890C2211yescharacteristic, complemented
76#11718884C2211yescharacteristic
77#11718884C2211yescharacteristic
78#11718884C2211yescharacteristic
79#11718884C2211yescharacteristic
80#11718884C2211yescharacteristic, complemented
81#11718883C2211yescharacteristic
82#11718883C2211yescharacteristic
83#11718883C2211yescharacteristic
84#11718883C2211yescharacteristic
85#11718883C2211yescharacteristic
86#11718883C2211yescharacteristic
87#11718883C2211yescharacteristic
88#11718883C2211yescharacteristic
89#11718883C2211yescharacteristic, complemented
90#11718882C2211yescharacteristic
91#11718882C2211yescharacteristic
92#11718882C2211yescharacteristic
93#11718881C2211yescharacteristic
94#11718881C2211yescharacteristic
95#11718881C2211yescharacteristic
96#11718881C2211yescharacteristic
97#11718881C2211yescharacteristic
98#11718881C2211yescharacteristic, complemented
99#11718881C2211yescharacteristic, complemented
100#11718874C2211yescharacteristic
101#11718874C2211yescharacteristic, complemented
102#11718873C2211yescharacteristic, complemented
103#11718872C2211yescharacteristic
104#11718872C2211yescharacteristic
105#11718871C2211yescharacteristic
106#11718871C2211yescharacteristic, complemented
107C4×C22⋊Dic13C2211yescharacteristic
108C4×C22⋊Dic13C2211yescharacteristic, complemented
109#11718655C2211yescharacteristic, complemented
110#11718654C2211yescharacteristic, complemented
111#11718651C2211yescharacteristic, complemented
112#11718651C2211yescharacteristic, complemented
113#11718650C2211yescharacteristic, complemented
114#11718647C2211yescharacteristic, complemented
115#11718647C2211yescharacteristic, complemented
116#11718645C2211yescharacteristic, complemented
117#11718642C2211yescharacteristic, complemented
118#11718642C2211yescharacteristic, complemented
119#11718641C2211yescharacteristic, complemented
120#11718640C2211yescharacteristic, complemented
121#11718640C2211yescharacteristic, complemented
122#11718639C2211yescharacteristic, complemented
123#11718639C2211yescharacteristic, complemented
124#11718639C2211yescharacteristic, complemented
125#11718638C2211yescharacteristic, complemented
126#11718635C2211yescharacteristic, complemented
127#11718633C2211yescharacteristic, complemented
128#11718633C2211yescharacteristic, complemented
129#11718633C2211yescharacteristic, complemented
130#11718633C2211yescharacteristic, complemented
131#11718622C2211yescharacteristic
132#11718622C2211yescharacteristic
133#11718622C2211yescharacteristic
134#11718620C2211yescharacteristic
135#11718619C2211yescharacteristic, complemented
136#11718618C2211yescharacteristic
137#11718618C2211yescharacteristic
138#11718618C2211yescharacteristic
139#11718618C2211yescharacteristic, complemented
140#11718617C2211yescharacteristic
141#11718617C2211yescharacteristic
142#11718617C2211yescharacteristic, complemented
143#11718614C2211yescharacteristic
144#11718614C2211yescharacteristic
145#11718614C2211yescharacteristic
146#11718614C2211yescharacteristic, complemented
147#11718613C2211yescharacteristic
148#11718613C2211yescharacteristic
149#11718613C2211yescharacteristic
150#11718613C2211yescharacteristic, complemented
151#11718613C2211yescharacteristic, complemented
152#11718612C2211yescharacteristic
153#11718612C2211yescharacteristic
154#11718611C2211yescharacteristic, complemented
155#11718611C2211yescharacteristic, complemented
156#11718610C2211yescharacteristic
157#11718610C2211yescharacteristic
158#11718609C2211yescharacteristic
159#11718609C2211yescharacteristic
160#11718609C2211yescharacteristic
161#11718608C2211yescharacteristic
162#11718608C2211yescharacteristic
163#11718608C2211yescharacteristic
164#11718608C2211yescharacteristic
165#11718608C2211yescharacteristic
166#11718608C2211yescharacteristic, complemented
167#11718606C2211yescharacteristic
168#11718606C2211yescharacteristic
169#11718606C2211yescharacteristic
170#11718606C2211yescharacteristic
171#11718606C2211yescharacteristic
172#11718606C2211yescharacteristic
173#11718606C2211yescharacteristic
174#11718606C2211yescharacteristic, complemented
175#11718606C2211yescharacteristic, complemented
176#11718606C2211yescharacteristic, complemented
177#11718605C2211yescharacteristic
178#11718605C2211yescharacteristic
179#11718605C2211yescharacteristic
180#11718605C2211yescharacteristic
181#11718605C2211yescharacteristic, complemented
182#11718603C2211yescharacteristic, complemented
183#11718601C2211yescharacteristic, complemented
184C4×C4⋊Dic13C2211yescharacteristic, complemented
185#11718594C2211yescharacteristic, complemented
186#11718593C2211yescharacteristic, complemented
187#11718590C2211yescharacteristic, complemented
188#11718589C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C22×Q8×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×Dic26C2311yescharacteristic
211C22×Dic26C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#126—24no—
214C13×#126—24no—
215C13×#124—24no—
216C13×#124—24no—
217C13×#123—24no—
218C13×#123—24no—
219C13×C22⋊Q8—24no—
220C13×#121—24no—
221C13×#121—24no—
222C13×#121—24no—
223C13×#120—24no—
224C13×#120—24no—
225C4×D4×C13—24no—
226C4×D4×C13D418yescomplemented
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4—24no—
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊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×C42×C13C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250#88207—42no—
251C2×C22⋊Dic13C2311yescharacteristic
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
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279C2×C22⋊Dic13C2311yescharacteristic
280C2×C22⋊Dic13C2311yescharacteristic
281C2×C22⋊Dic13C2311yescharacteristic
282C2×C22⋊Dic13C2311yescharacteristic
283C2×C22⋊Dic13C2311yescharacteristic
284#88193—42no—
285#88192—24no—
286#88190—24no—
287#88190—42no—
288#88183—24no—
289#88183—24no—
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299#88180—42no—
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×C4⋊Dic13C2311yescharacteristic
303C2×C4⋊Dic13C2311yescharacteristic
304C2×C4⋊Dic13C2311yescharacteristic
305C2×C4⋊Dic13C2311yescharacteristic
306C2×C4⋊Dic13C2311yescharacteristic
307#88178—24no—
308#88178—24no—
309#88178—42no—
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×C4×Dic13—42no—
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332C2×C4×Dic13C2311yescharacteristic
333C2×C4×Dic13C2311yescharacteristic
334C2×C4×Dic13C2311yescharacteristic
335#88151—24no—
336#88142—24no—
337#88139—24no—
338#88139—24no—
339#88133—24no—
340#88133—24no—
341#88126—24no—
342C4×Dic26—24no—
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#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#36745—131nomaximal, Sylow
380C24×C13—22no—
381C24×C13—41no—
382C24×C13—41no—
383C24×C13—41no—
384C24×C13—41no—
385C24×C13—41no—
386C24×C13—41no—
387C24×C13C2411yescharacteristic
388C24×C13C2411yescharacteristic
389C24×C13C2411yescharacteristic
390C24×C13C2411yescharacteristic
391C24×C13C2411yescharacteristic
392C23×D13C2411yescharacteristic
393C2×Q8×C13—22no—
394C2×Q8×C13—41no—
395C2×Q8×C13—41no—
396C2×D4×C13—22no—
397C2×D4×C13—22no—
398C2×D4×C13—22no—
399C2×D4×C13—22no—
400C2×D4×C13—22no—
401C2×D4×C13—22no—
402C2×D4×C13—41no—
403C2×D4×C13—41no—
404C2×D4×C13—41no—
405C2×D4×C13—41no—
406C2×D4×C13—41no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C2×D4×C13—41no—
410C2×D4×C13—41no—
411C2×D4×C13—41no—
412C2×D4×C13—41no—
413C2×D4×C13—41no—
414C2×D4×C13—41no—
415C2×D4×C13—41no—
416C2×D4×C13C2×D414yes—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—41no—
420C22×C4×C13—41no—
421C22×C4×C13—41no—
422C22×C4×C13—41no—
423C22×C4×C13—41no—
424C22×C4×C13—41no—
425C22×C4×C13—41no—
426C22×C4×C13—41no—
427C22×C4×C13C2×D414yes—
428C22×C4×C13C2×D414yes—
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—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C2×C22⋊D13—41no—
446C2×C22⋊D13—41no—
447C2×C22⋊D13—41no—
448C2×C22⋊D13—41no—
449C2×C22⋊D13—41no—
450C2×C22⋊D13—41no—
451C2×C22⋊D13—41no—
452C2×C22⋊D13—41no—
453C2×C22⋊D13—41no—
454C22×Dic13—22no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C2×C4×D13—22no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×Dic26—22no—
479C2×Dic26—22no—
480C2×Dic26—22no—
481C2×Dic26—41no—
482C2×Dic26—41no—
483C2×Dic26—41no—
484C2×Dic26—41no—
485C2×Dic26—41no—
486C2×Dic26—41no—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—22no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—22no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4C2×D414yes—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4C2×D414yes—
506C13×C22⋊C4C2×D414yes—
507C42×C13—22no—
508C42×C13C2×D414yes—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13—41no—
532C22⋊Dic13—41no—
533C22⋊Dic13—41no—
534C22⋊Dic13—41no—
535C22⋊Dic13—41no—
536C22⋊Dic13—41no—
537C22⋊Dic13—41no—
538C22⋊Dic13—41no—
539C22⋊Dic13—41no—
540C22⋊Dic13—41no—
541C22⋊Dic13—41no—
542#6103—22no—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103—41no—
550#6103—41no—
551C4⋊Dic13—22no—
552C4⋊Dic13—22no—
553C4⋊Dic13—22no—
554C4⋊Dic13—22no—
555C4⋊Dic13—41no—
556C4⋊Dic13—41no—
557C4⋊Dic13—41no—
558#6101—22no—
559#6101—22no—
560#6101—22no—
561#6101—22no—
562#6101—22no—
563#6101—22no—
564#6101—22no—
565#6101—41no—
566#6101—41no—
567#6101—41no—
568#6101—41no—
569#6101—41no—
570#6101—41no—
571#6101—41no—
572#6101—41no—
573C4×Dic13—22no—
574C4×Dic13—22no—
575C4×Dic13—22no—
576C4×Dic13—22no—
577C4×Dic13—22no—
578C4×Dic13—41no—
579C4×Dic13—41no—
580C4×Dic13—41no—
581C4×Dic13—41no—
582C2×#542—131no—
583C2×#538D1311yescharacteristic, complemented
584#2854—131no—
585#2850—131no—
586#2723—131no—
587#2716—131no—
588#2715—131no—
589#2712—131no—
590#2700—131no—
591#2698—131no—
592#2696—131no—
593#2691—131no—
594#2688—131no—
595#2686—131no—
596#2685—131no—
597#2684—131no—
598#2676—131no—
599#2674—131no—
600#2670—131no—
601#2668—131no—
602#2663—131no—
603#2661—131no—
604#2610—131no—
605#2604—131no—
606#2602—131no—
607#2601—131no—
608#2592—131no—
609#2561—131no—
610#2415—131no—
611#2411—131no—
612#2290—131no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—44no—
647C23×C13—82no—
648C23×C13—82no—
649C23×C13—82no—
650C23×C13—82no—
651C23×C13—82no—
652C23×C13—82no—
653C23×C13C22×D412yes—
654C23×C13C22×D412yes—
655C23×C13C2511yescharacteristic
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663Q8×C13—82no—
664D4×C13—44no—
665D4×C13—44no—
666D4×C13—82no—
667D4×C13—82no—
668D4×C13—82no—
669D4×C13—82no—
670D4×C13—82no—
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—21no—
696C2×C4×C13—44no—
697C2×C4×C13—44no—
698C2×C4×C13—82no—
699C2×C4×C13—82no—
700C2×C4×C13C22×D412yes—
701C2×C4×C13C22×D412yes—
702C2×C4×C13C22×D412yes—
703C2×C4×C13C22×D412yes—
704C2×C4×C13C22×D412yes—
705C22⋊D13—82no—
706C22⋊D13—82no—
707C22⋊D13—82no—
708C22⋊D13—82no—
709C22⋊D13—82no—
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—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—44no—
755C2×Dic13—44no—
756C2×Dic13H(5,𝔽2)12yes—
757C4×D13—44no—
758Dic26—44no—
759Dic26—82no—
760Dic26—82no—
761#542—268no—
762#538—28no—
763C2×C4⋊Q8—131no—
764C2×#126—131no—
765C2×#126—131no—
766C2×#126C2×D1311yescharacteristic
767C2×#126C2×D1311yescharacteristic
768C2×#124—131no—
769C2×#124—131no—
770C2×#124—131no—
771C2×#124—131no—
772C2×#124C2×D1311yescharacteristic
773C2×#124C2×D1311yescharacteristic
774C2×#123—131no—
775C2×#123—131no—
776C2×#123C2×D1311yescharacteristic
777C2×#123C2×D1311yescharacteristic
778C2×C22⋊Q8—131no—
779C2×C22⋊Q8—131no—
780C2×C22⋊Q8—131no—
781C2×C22⋊Q8—131no—
782C2×C22⋊Q8C2×D1311yescharacteristic
783C2×#121—131no—
784C2×#121—131no—
785C2×#121C2×D1311yescharacteristic
786C2×#121C2×D1311yescharacteristic
787C2×#121C2×D1311yescharacteristic
788C2×#120—131no—
789C2×#120C2×D1311yescharacteristic
790C2×#120C2×D1311yescharacteristic
791C2×C4×Q8—131no—
792C2×C4×D4C2×D1311yescharacteristic
793C2×C4×D4C2×D1311yescharacteristic
794C2×#117—131no—
795C2×#117—131no—
796C22×C22⋊C4C2×D1311yescharacteristic
797C22×C42—131no—
798#400—131no—
799#400—131no—
800#399—131no—
801#399—131no—
802#398—131no—
803#398—131no—
804#397—131no—
805#397—131no—
806#397—131no—
807#397—131no—
808#397—131no—
809#397—131no—
810#397—131no—
811#397—131no—
812#397—131no—
813#397—131no—
814#396—131no—
815#396—131no—
816#396—131no—
817#396—131no—
818#395—131no—
819#395—131no—
820#395—131no—
821#394—131no—
822#394—131no—
823#394—131no—
824#394—131no—
825#394—131no—
826#394—131no—
827#394—131no—
828#394—131no—
829#394—131no—
830#394—131no—
831#394—131no—
832#394—131no—
833#394—131no—
834#393—131no—
835#393—131no—
836#393—131no—
837#393—131no—
838#393—131no—
839#393—131no—
840#393—131no—
841#392—131no—
842#392—131no—
843#392—131no—
844#392—131no—
845#392—131no—
846#391—131no—
847#391—131no—
848#391—131no—
849#391—131no—
850#390—131no—
851#390—131no—
852#390—131no—
853#390—131no—
854#390—131no—
855#390—131no—
856#390—131no—
857#389—131no—
858#389—131no—
859#389—131no—
860#389—131no—
861#389—131no—
862#388—131no—
863#388—131no—
864#388—131no—
865#388—131no—
866#388—131no—
867#388—131no—
868#388—131no—
869#388—131no—
870#388—131no—
871#388—131no—
872#388—131no—
873#388—131no—
874#388—131no—
875#388—131no—
876#388—131no—
877#388—131no—
878#388—131no—
879#388—131no—
880#388—131no—
881#388—131no—
882#387—131no—
883#387—131no—
884#387—131no—
885#387—131no—
886#387—131no—
887#387—131no—
888#386—131no—
889#386—131no—
890#386—131no—
891#386—131no—
892#386—131no—
893#386—131no—
894#386—131no—
895#386—131no—
896#386—131no—
897#386—131no—
898#386—131no—
899#386—131no—
900#386—131no—
901#385—131no—
902#385—131no—
903#385—131no—
904#385—131no—
905#385—131no—
906#382—131no—
907#381—131no—
908#381—131no—
909#380—131no—
910#380—131no—
911#379—131no—
912#379—131no—
913#379—131no—
914C4×C4⋊C4—131no—
915C4×C22⋊C4—131no—
916C4×C22⋊C4—131no—
917#376—131no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—41no—
951C22×C13—41no—
952C22×C13—41no—
953C22×C13—88no—
954C22×C13C23×D411yescharacteristic
955C22×C13C2×H(5,𝔽2)11yescharacteristic
956C22×C13#58511yescharacteristic
957C22×C13#58511yescharacteristic
958C22×C13#58511yescharacteristic
959C22×C13#58511yescharacteristic
960C22×C13#58511yescharacteristic
961C2×D13—41no—
962C2×D13—41no—
963C2×D13—41no—
964C2×D13—41no—
965C2×D13—41no—
966C2×D13—41no—
967C2×D13—41no—
968C4×C13—22no—
969C4×C13—22no—
970C4×C13—22no—
971C4×C13—22no—
972C4×C13—22no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977C4×C13—41no—
978Dic13—22no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988Dic13—41no—
989Dic13—41no—
990Dic13—41no—
991Dic13—41no—
992Dic13—41no—
993C25C22×D1311yescharacteristic
994C22×Q8—131no—
995C22×Q8—131no—
996C22×Q8—131no—
997C22×Q8C22×D1311yescharacteristic
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4—131no—
1003C22×D4C22×D1311yescharacteristic
1004C22×D4C22×D1311yescharacteristic
1005C22×D4C22×D1311yescharacteristic
1006C22×D4C22×D1311yescharacteristic
1007C22×D4C22×D1311yescharacteristic
1008C22×D4C22×D1311yescharacteristic
1009C22×D4C22×D1311yescharacteristic
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4C22×D1311yescharacteristic
1014C23×C4C22×D1311yescharacteristic
1015C23×C4C22×D1311yescharacteristic
1016C23×C4C22×D1311yescharacteristic
1017C4⋊Q8—264no—
1018#126—24no—
1019#126—24no—
1020#126—264no—
1021#126—264no—
1022#124—24no—
1023#124—24no—
1024#124—264no—
1025#124—264no—
1026#124—264no—
1027#124—522no—
1028#123—24no—
1029#123—24no—
1030#123—264no—
1031#123—264no—
1032C22⋊Q8—24no—
1033C22⋊Q8—264no—
1034C22⋊Q8—264no—
1035C22⋊Q8—264no—
1036C22⋊Q8—522no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—264no—
1041#121—522no—
1042#120—24no—
1043#120—24no—
1044#120—522no—
1045C4×Q8—264no—
1046C4×D4—24no—
1047C4×D4C22⋊D1318yescomplemented
1048#117—264no—
1049#117—522no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—131no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4C22×D1311yescharacteristic
1073C2×C4⋊C4C22×D1311yescharacteristic
1074C2×C4⋊C4C22×D1311yescharacteristic
1075C2×C4⋊C4C22×D1311yescharacteristic
1076C2×C4⋊C4C22×D1311yescharacteristic
1077C2×C4⋊C4C22×D1311yescharacteristic
1078C2×C22⋊C4—24no—
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—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4C22×D1311yescharacteristic
1122C2×C22⋊C4C22×D1311yescharacteristic
1123C2×C22⋊C4C22×D1311yescharacteristic
1124C2×C22⋊C4C22×D1311yescharacteristic
1125C2×C22⋊C4C22×D1311yescharacteristic
1126C2×C22⋊C4C22×D1311yescharacteristic
1127C2×C22⋊C4C22×D1311yescharacteristic
1128C2×C22⋊C4C22×D1311yescharacteristic
1129C2×C22⋊C4C22×D1311yescharacteristic
1130C2×C22⋊C4C22×D1311yescharacteristic
1131C2×C22⋊C4C22×D1311yescharacteristic
1132C2×C22⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4C22×D1311yescharacteristic
1134C2×C22⋊C4C22×D1311yescharacteristic
1135C2×C42—131no—
1136C2×C42—131no—
1137C2×C42—131no—
1138C2×C42—131no—
1139C2×C42—131no—
1140C2×C42—131no—
1141C2×C42—131no—
1142C2×C42—131no—
1143C2×C42—131no—
1144C2×C42—522no—
1145C2×C42C22×D1311yescharacteristic
1146C2×C42C22×D1311yescharacteristic
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#95—131no—
1164#95—131no—
1165#95—131no—
1166#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95—131no—
1183C2×C13—42no—
1184C2×C13—42no—
1185C2×C13—81no—
1186C2×C13—81no—
1187C2×C13—81no—
1188C2×C13#344911yescharacteristic
1189C2×C13#349611yescharacteristic
1190C2×C13#350011yescharacteristic
1191C2×C13#353311yescharacteristic
1192C2×C13#354011yescharacteristic
1193C2×C13#356611yescharacteristic
1194C2×C13#356811yescharacteristic
1195D13—81no—
1196C24—22no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—131no—
1204C24C23×D1311yescharacteristic
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C24C23×D1311yescharacteristic
1208C24C23×D1311yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—262no—
1213C2×Q8—262no—
1214C2×Q8—262no—
1215C2×Q8—521no—
1216C2×Q8—521no—
1217C2×Q8—521no—
1218C2×Q8—521no—
1219C2×Q8—521no—
1220C2×Q8—521no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—262no—
1242C2×D4—262no—
1243C2×D4—262no—
1244C2×D4—521no—
1245C2×D4—521no—
1246C2×D4—521no—
1247C2×D4—521no—
1248C2×D4—521no—
1249C2×D4—521no—
1250C2×D4—521no—
1251C2×D4—521no—
1252C2×D4—521no—
1253C2×D4—521no—
1254C2×D4—521no—
1255C2×D4—521no—
1256C2×D4C2×C22⋊D1314yes—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—131no—
1268C22×C4—131no—
1269C22×C4—131no—
1270C22×C4—131no—
1271C22×C4—131no—
1272C22×C4—131no—
1273C22×C4—131no—
1274C22×C4—131no—
1275C22×C4—131no—
1276C22×C4—131no—
1277C22×C4—131no—
1278C22×C4—131no—
1279C22×C4—131no—
1280C22×C4—131no—
1281C22×C4—131no—
1282C22×C4—262no—
1283C22×C4—262no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4C2×C22⋊D1314yes—
1292C22×C4C2×C22⋊D1314yes—
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
1314C4⋊C4—262no—
1315C4⋊C4—262no—
1316C4⋊C4—262no—
1317C4⋊C4—262no—
1318C4⋊C4—262no—
1319C4⋊C4—521no—
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×C22⋊D1314yes—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
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—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
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⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C22⋊C4—521no—
1381C22⋊C4—521no—
1382C22⋊C4—521no—
1383C22⋊C4—521no—
1384C22⋊C4—521no—
1385C22⋊C4C2×C22⋊D1314yes—
1386C22⋊C4C2×C22⋊D1314yes—
1387C42—22no—
1388C42—262no—
1389C42—262no—
1390C42—262no—
1391C42—262no—
1392C42—262no—
1393C42—521no—
1394C42—521no—
1395C42—521no—
1396C42—521no—
1397C42C2×C22⋊D1314yes—
1398C13#3674511yescharacteristic, complemented, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—44no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—261no—
1440C23—261no—
1441C23—261no—
1442C23—261no—
1443C23—261no—
1444C23—261no—
1445C23—261no—
1446C23C22×C22⋊D1312yes—
1447C23C22×C22⋊D1312yes—
1448C23C24×D1311yescharacteristic
1449Q8—82no—
1450Q8—524no—
1451Q8—1042no—
1452Q8—1042no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—1042no—
1461D4—1042no—
1462D4—1042no—
1463D4—1042no—
1464D4—1042no—
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—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—132no—
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—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—261no—
1533C2×C4—261no—
1534C2×C4—261no—
1535C2×C4—261no—
1536C2×C4—261no—
1537C2×C4—261no—
1538C2×C4—261no—
1539C2×C4—524no—
1540C2×C4—524no—
1541C2×C4—524no—
1542C2×C4C22×C22⋊D1312yes—
1543C2×C4C22×C22⋊D1312yes—
1544C2×C4C22×C22⋊D1312yes—
1545C2×C4C22×C22⋊D1312yes—
1546C2×C4C22×C22⋊D1312yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—521no—
1584C22—521no—
1585C22—521no—
1586C22—521no—
1587C22—521no—
1588C22—521no—
1589C22—521no—
1590C22#1171964811yescharacteristic
1591C22#1171964811yescharacteristic
1592C22D13×H(5,𝔽2)11yescharacteristic
1593C22#1171965011yescharacteristic
1594C22#1171965011yescharacteristic
1595C22#1171965011yescharacteristic
1596C22C23×C22⋊D1311yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—262no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C4—521no—
1615C4—521no—
1616C4—521no—
1617C4—521no—
1618C4—521no—
1619C4—521no—
1620C4—521no—
1621C4—521no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—1041no—
1628C2#1312816511yescharacteristic
1629C2#1312859511yescharacteristic
1630C2#1312862411yescharacteristic
1631C2#1312900311yescharacteristic
1632C2#1312910711yescharacteristic
1633C2#1312950011yescharacteristic
1634C2#1312952911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC2×C13×#538C2
hypercenterC2×#538D13
hypocenterC13#36745
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#11719266C2semidirect
2. #13123165C2semidirect
3. #13123135C2semidirect
4. #13121751C2semidirect
5. #13121658C2semidirect
6. #13121641C2semidirect
7. #13121602C2semidirect
8. #13121430C2semidirect
9. #13121406C2semidirect
10. #13121382C2semidirect
11. #13121313C2semidirect
12. #13121268C2semidirect
13. #13121238C2semidirect
14. #13121223C2semidirect
15. #13121214C2semidirect
16. #13121137C2semidirect
17. #13121117C2semidirect
18. #13121058C2semidirect
19. #13121040C2semidirect
20. #13120986C2semidirect
21. #13120965C2semidirect
22. #13120525C2semidirect
23. #13120476C2semidirect
24. #13120448C2semidirect
25. #13120435C2semidirect
26. #13120325C2semidirect
27. #13119994C2semidirect
28. #13118265C2semidirect
29. #13118221C2semidirect
30. #13117281C2semidirect
31. C2×C13×#538C2semidirect
54. C2×#88183C22semidirect
57. C2×#88178C22semidirect
58. C2×#88178C22semidirect
59. C22×C4×Dic13C22semidirect
61. C2×#88151C22semidirect
62. C2×#88142C22semidirect
64. C2×#88139C22semidirect
66. C2×#88133C22semidirect
67. C2×#88126C22semidirect
68. C2×C4×Dic26C22semidirect
72. #11718892C22semidirect
73. #11718891C22semidirect
74. #11718891C22semidirect
75. #11718890C22semidirect
80. #11718884C22semidirect
89. #11718883C22semidirect
98. #11718881C22semidirect
99. #11718881C22semidirect
101. #11718874C22semidirect
102. #11718873C22semidirect
106. #11718871C22semidirect
108. C4×C22⋊Dic13C22semidirect
109. #11718655C22semidirect
110. #11718654C22semidirect
111. #11718651C22semidirect
112. #11718651C22semidirect
113. #11718650C22semidirect
114. #11718647C22semidirect
115. #11718647C22semidirect
116. #11718645C22semidirect
117. #11718642C22semidirect
118. #11718642C22semidirect
119. #11718641C22semidirect
120. #11718640C22semidirect
121. #11718640C22semidirect
122. #11718639C22semidirect
123. #11718639C22semidirect
124. #11718639C22semidirect
125. #11718638C22semidirect
126. #11718635C22semidirect
127. #11718633C22semidirect
128. #11718633C22semidirect
129. #11718633C22semidirect
130. #11718633C22semidirect
135. #11718619C22semidirect
139. #11718618C22semidirect
142. #11718617C22semidirect
146. #11718614C22semidirect
150. #11718613C22semidirect
151. #11718613C22semidirect
154. #11718611C22semidirect
155. #11718611C22semidirect
166. #11718608C22semidirect
174. #11718606C22semidirect
175. #11718606C22semidirect
176. #11718606C22semidirect
181. #11718605C22semidirect
182. #11718603C22semidirect
183. #11718601C22semidirect
184. C4×C4⋊Dic13C22semidirect
185. #11718594C22semidirect
186. #11718593C22semidirect
187. #11718590C22semidirect
188. #11718589C22semidirect
226. C4×D4×C13D4semidirect
583. C2×#538D13semidirect
1047. C4×D4C22⋊D13semidirect
1398. C13#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#117192662
#131231652
#131231352
#131217512
#131216582
#131216412
#131216022
#131214302
#131214062
#131213822
#131213132
#131212682
#131212382
#131212232
#131212142
#131211372
#131211172
#131210582
#131210402
#131209862
#131209652
#131205252
#131204762
#131204482
#131204352
#131203252
#131199942
#131182652
#131182212
#131172812
C2×C13×#5382
#3674513