Finite Group Databasebeta

← #16035911

Subgroups — #16035911

Order 3328.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719269C211yesmaximal, characteristic, complemented
2#13123206C211yesmaximal, characteristic, complemented
3#13123201C211yesmaximal, characteristic, complemented
4#13123165C211yesmaximal, characteristic, complemented
5#13123135C211yesmaximal, characteristic, complemented
6#13120998C211yesmaximal, characteristic, complemented
7#13120986C211yesmaximal, characteristic, complemented
8#13120975C211yesmaximal, characteristic, complemented
9#13120965C211yesmaximal, characteristic, complemented
10#13119978C211yesmaximal, characteristic, complemented
11#13119961C211yesmaximal, characteristic, complemented
12#13119946C211yesmaximal, characteristic, complemented
13#13119933C211yesmaximal, characteristic, complemented
14#13119844C211yesmaximal, characteristic, complemented
15#13119794C211yesmaximal, characteristic, complemented
16#13119764C211yesmaximal, characteristic, complemented
17#13119723C211yesmaximal, characteristic, complemented
18#13119536C211yesmaximal, characteristic, complemented
19#13119516C211yesmaximal, characteristic, complemented
20#13119168C211yesmaximal, characteristic, complemented
21#13118961C211yesmaximal, characteristic, complemented
22#13118847C211yesmaximal, characteristic, complemented
23#13118802C211yesmaximal, characteristic, complemented
24#13118393C211yesmaximal, characteristic, complemented
25#13118376C211yesmaximal, characteristic, complemented
26#13117501C211yesmaximal, characteristic, complemented
27#13117494C211yesmaximal, characteristic, complemented
28C4×#88193C211yesmaximal, characteristic, complemented
29C2×#11718606C211yesmaximal, characteristic, complemented
30C4×D4×Dic13C211yesmaximal, 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
49C22×C22⋊Dic13C2211yescharacteristic
50C22×C22⋊Dic13C2211yescharacteristic
51C2×#88193C2211yescharacteristic
52C2×#88193C2211yescharacteristic
53C2×#88193C2211yescharacteristic
54C2×#88190C2211yescharacteristic
55C2×#88189C2211yescharacteristic
56C2×#88189C2211yescharacteristic
57C2×D4×Dic13C2211yescharacteristic
58C2×D4×Dic13C2211yescharacteristic
59C2×#88183C2211yescharacteristic, complemented
60C2×C4×C22⋊D13C2211yescharacteristic
61C2×C4×C22⋊D13C2211yescharacteristic, complemented
62C2×#88178C2211yescharacteristic, complemented
63C22×#6101C2211yescharacteristic
64C22×C4×Dic13C2211yescharacteristic
65C22×C4×Dic13C2211yescharacteristic, complemented
66#11719269—28no—
67C2×#88150C2211yescharacteristic, complemented
68C2×#88143C2211yescharacteristic, complemented
69C2×#88140C2211yescharacteristic
70C2×#88137C2211yescharacteristic, complemented
71C2×#88133C2211yescharacteristic, complemented
72C2×#88132C2211yescharacteristic
73C2×#88130C2211yescharacteristic, complemented
74C2×#88124C2211yescharacteristic, complemented
75#11718908C2211yescharacteristic
76#11718892C2211yescharacteristic, complemented
77#11718891C2211yescharacteristic, complemented
78#11718891C2211yescharacteristic, complemented
79#11718890C2211yescharacteristic, complemented
80#11718884C2211yescharacteristic
81#11718884C2211yescharacteristic
82#11718884C2211yescharacteristic
83#11718884C2211yescharacteristic, complemented
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#11718871C2211yescharacteristic
102#11718871C2211yescharacteristic, complemented
103#11718871C2211yescharacteristic, complemented
104C4×C22⋊Dic13C2211yescharacteristic
105C4×C22⋊Dic13C2211yescharacteristic, complemented
106C4×C22⋊Dic13C2211yescharacteristic, complemented
107C2×#88071C2211yescharacteristic
108C2×#88071C2211yescharacteristic
109#11718654C2211yescharacteristic, complemented
110#11718651C2211yescharacteristic, complemented
111#11718651C2211yescharacteristic, complemented
112#11718651C2211yescharacteristic, complemented
113#11718651C2211yescharacteristic, complemented
114#11718647C2211yescharacteristic, complemented
115#11718647C2211yescharacteristic, complemented
116#11718645C2211yescharacteristic, complemented
117#11718645C2211yescharacteristic, complemented
118#11718644C2211yescharacteristic, complemented
119#11718641C2211yescharacteristic, complemented
120#11718640C2211yescharacteristic, complemented
121#11718638C2211yescharacteristic, complemented
122C4⋊C4×Dic13C2211yescharacteristic, complemented
123C4⋊C4×Dic13C2211yescharacteristic, complemented
124#11718635C2211yescharacteristic, complemented
125#11718633C2211yescharacteristic, complemented
126#11718633C2211yescharacteristic, complemented
127#11718633C2211yescharacteristic, complemented
128#11718633C2211yescharacteristic, complemented
129#11718633C2211yescharacteristic, complemented
130#11718633C2211yescharacteristic, complemented
131#11718622C2211yescharacteristic
132#11718622C2211yescharacteristic, complemented
133#11718619C2211yescharacteristic
134#11718619C2211yescharacteristic, complemented
135#11718618C2211yescharacteristic
136#11718618C2211yescharacteristic
137#11718618C2211yescharacteristic
138#11718618C2211yescharacteristic
139#11718618C2211yescharacteristic
140#11718618C2211yescharacteristic, complemented
141#11718617C2211yescharacteristic
142#11718617C2211yescharacteristic
143#11718614C2211yescharacteristic
144#11718613C2211yescharacteristic, complemented
145#11718613C2211yescharacteristic, complemented
146#11718610C2211yescharacteristic
147#11718610C2211yescharacteristic
148#11718609C2211yescharacteristic
149#11718609C2211yescharacteristic
150#11718609C2211yescharacteristic
151#11718609C2211yescharacteristic, complemented
152#11718608C2211yescharacteristic
153#11718607C2211yescharacteristic
154#11718606C2211yescharacteristic
155#11718606C2211yescharacteristic
156#11718606C2211yescharacteristic
157#11718606C2211yescharacteristic
158#11718606C2211yescharacteristic
159#11718606C2211yescharacteristic
160#11718606C2211yescharacteristic
161#11718606C2211yescharacteristic
162#11718606C2211yescharacteristic
163#11718606C2211yescharacteristic
164#11718606C2211yescharacteristic
165#11718606C2211yescharacteristic
166#11718606C2211yescharacteristic
167#11718606C2211yescharacteristic
168#11718606C2211yescharacteristic
169#11718606C2211yescharacteristic, complemented
170#11718606C2211yescharacteristic, complemented
171#11718606C2211yescharacteristic, complemented
172#11718606C2211yescharacteristic, complemented
173#11718606C2211yescharacteristic, complemented
174#11718605C2211yescharacteristic
175#11718605C2211yescharacteristic
176#11718604C2211yescharacteristic
177#11718603C2211yescharacteristic
178#11718603C2211yescharacteristic, complemented
179C22⋊C4×Dic13C2211yescharacteristic
180C22⋊C4×Dic13C2211yescharacteristic
181C22⋊C4×Dic13C2211yescharacteristic, complemented
182C22⋊C4×Dic13C2211yescharacteristic, complemented
183C4×#6103C2211yescharacteristic, complemented
184C4×C4⋊Dic13C2211yescharacteristic, complemented
185#11718594C2211yescharacteristic, complemented
186#11718594C2211yescharacteristic, complemented
187C4×#6101C2211yescharacteristic, complemented
188C42×Dic13C2211yescharacteristic, 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
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×Dic26C2311yescharacteristic
215C13×#126—24no—
216C13×#126—24no—
217C13×#124—24no—
218C13×#124—24no—
219C13×#123—24no—
220C13×#123—24no—
221C13×C22⋊Q8—24no—
222C13×#121—24no—
223C13×#121—24no—
224C13×#121—24no—
225C13×#120—24no—
226C13×#120—24no—
227C4×D4×C13—24no—
228C4×D4×C13D418yescomplemented
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4—24no—
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×C13×C22⋊C4C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251C2×C42×C13C2311yescharacteristic
252#88207—24no—
253C2×C22⋊Dic13—24no—
254C2×C22⋊Dic13—42no—
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—24no—
285#88193—24no—
286#88193—42no—
287#88190—42no—
288#88189—24no—
289#88189—24no—
290D4×Dic13—24no—
291D4×Dic13—24no—
292#88183—24no—
293C4×C22⋊D13—24no—
294C4×C22⋊D13—42no—
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×C4⋊Dic13C2311yescharacteristic
305C2×C4⋊Dic13C2311yescharacteristic
306C2×C4⋊Dic13C2311yescharacteristic
307C2×C4⋊Dic13C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309#88178—24no—
310C2×#6101—24no—
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×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×C4×Dic13—42no—
331C2×C4×Dic13—42no—
332C2×C4×Dic13C2311yescharacteristic
333C2×C4×Dic13C2311yescharacteristic
334C2×C4×Dic13C2311yescharacteristic
335C2×C4×Dic13C2311yescharacteristic
336C2×C4×Dic13C2311yescharacteristic
337C2×C4×Dic13C2311yescharacteristic
338C2×C4×Dic13C2311yescharacteristic
339C2×C4×Dic13C2311yescharacteristic
340C2×C4×Dic13C2311yescharacteristic
341C2×C4×Dic13C2311yescharacteristic
342C2×C4×Dic13C2311yescharacteristic
343C2×C4×Dic13C2311yescharacteristic
344C2×C4×Dic13C2311yescharacteristic
345#88150—24no—
346#88143—24no—
347#88140—24no—
348#88137—24no—
349#88133—24no—
350#88132—24no—
351#88130—24no—
352#88124—24no—
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#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#35009—131nomaximal, Sylow
386C24×C13—22no—
387C24×C13—22no—
388C24×C13—22no—
389C24×C13—41no—
390C24×C13—41no—
391C24×C13—41no—
392C24×C13—41no—
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C24×C13C2411yescharacteristic
396C24×C13C2411yescharacteristic
397C24×C13C2411yescharacteristic
398C23×D13C2411yescharacteristic
399C2×Q8×C13—22no—
400C2×Q8×C13—41no—
401C2×Q8×C13—41no—
402C2×D4×C13—22no—
403C2×D4×C13—22no—
404C2×D4×C13—22no—
405C2×D4×C13—22no—
406C2×D4×C13—22no—
407C2×D4×C13—22no—
408C2×D4×C13—22no—
409C2×D4×C13—22no—
410C2×D4×C13—22no—
411C2×D4×C13—22no—
412C2×D4×C13—41no—
413C2×D4×C13—41no—
414C2×D4×C13—41no—
415C2×D4×C13—41no—
416C2×D4×C13—41no—
417C2×D4×C13—41no—
418C2×D4×C13—41no—
419C2×D4×C13—41no—
420C2×D4×C13—41no—
421C2×D4×C13—41no—
422C2×D4×C13C2×D414yes—
423C22×C4×C13—22no—
424C22×C4×C13—22no—
425C22×C4×C13—41no—
426C22×C4×C13—41no—
427C22×C4×C13—41no—
428C22×C4×C13—41no—
429C22×C4×C13—41no—
430C22×C4×C13—41no—
431C22×C4×C13—41no—
432C22×C4×C13—41no—
433C22×C4×C13C2×D414yes—
434C22×C4×C13C2×D414yes—
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
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—41no—
454C2×C22⋊D13—41no—
455C2×C22⋊D13—41no—
456C2×C22⋊D13—41no—
457C2×C22⋊D13—41no—
458C2×C22⋊D13—41no—
459C2×C22⋊D13—41no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—22no—
465C22×Dic13—22no—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—41no—
470C22×Dic13—41no—
471C22×Dic13—41no—
472C22×Dic13—41no—
473C22×Dic13—41no—
474C22×Dic13—41no—
475C22×Dic13—41no—
476C22×Dic13—41no—
477C22×Dic13#4114yes—
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491C22×Dic13C2411yescharacteristic
492C22×Dic13C2411yescharacteristic
493C2×C4×D13—22no—
494C2×C4×D13—41no—
495C2×C4×D13—41no—
496C2×Dic26—22no—
497C2×Dic26—41no—
498C2×Dic26—41no—
499C13×C4⋊C4—22no—
500C13×C4⋊C4—22no—
501C13×C4⋊C4—22no—
502C13×C4⋊C4—22no—
503C13×C4⋊C4—22no—
504C13×C4⋊C4C2×D414yes—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—22no—
507C13×C22⋊C4—22no—
508C13×C22⋊C4—22no—
509C13×C22⋊C4—22no—
510C13×C22⋊C4—22no—
511C13×C22⋊C4—22no—
512C13×C22⋊C4—22no—
513C13×C22⋊C4—22no—
514C13×C22⋊C4—22no—
515C13×C22⋊C4—22no—
516C13×C22⋊C4—22no—
517C13×C22⋊C4C2×D414yes—
518C13×C22⋊C4C2×D414yes—
519C42×C13—22no—
520C42×C13C2×D414yes—
521C22⋊Dic13—22no—
522C22⋊Dic13—22no—
523C22⋊Dic13—22no—
524C22⋊Dic13—22no—
525C22⋊Dic13—22no—
526C22⋊Dic13—22no—
527C22⋊Dic13—22no—
528C22⋊Dic13—22no—
529C22⋊Dic13—22no—
530C22⋊Dic13—22no—
531C22⋊Dic13—22no—
532C22⋊Dic13—22no—
533C22⋊Dic13—22no—
534C22⋊Dic13—22no—
535C22⋊Dic13—22no—
536C22⋊Dic13—22no—
537C22⋊Dic13—22no—
538C22⋊Dic13—22no—
539C22⋊Dic13—22no—
540C22⋊Dic13—41no—
541C22⋊Dic13—41no—
542C22⋊Dic13—41no—
543C22⋊Dic13—41no—
544C22⋊Dic13—41no—
545C22⋊Dic13—41no—
546C22⋊Dic13—41no—
547C22⋊Dic13—41no—
548C22⋊Dic13—41no—
549C22⋊Dic13#4114yes—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—22no—
556#6103—41no—
557#6103—41no—
558#6103—41no—
559C4⋊Dic13—22no—
560C4⋊Dic13—22no—
561C4⋊Dic13—22no—
562C4⋊Dic13—22no—
563C4⋊Dic13—22no—
564#6101—22no—
565#6101—22no—
566#6101—22no—
567#6101—22no—
568#6101—22no—
569#6101—22no—
570#6101—22no—
571#6101—22no—
572#6101—22no—
573#6101—22no—
574#6101—22no—
575#6101—22no—
576#6101—22no—
577#6101—41no—
578#6101—41no—
579#6101—41no—
580#6101—41no—
581#6101—41no—
582#6101—41no—
583C4×Dic13—22no—
584C4×Dic13—22no—
585C4×Dic13—22no—
586C4×Dic13—22no—
587C4×Dic13—22no—
588C4×Dic13—22no—
589C4×Dic13—41no—
590C4×Dic13—41no—
591C4×Dic13—41no—
592C4×Dic13—41no—
593C4×Dic13—41no—
594C4×Dic13—41no—
595C4×Dic13—41no—
596C2×#539—131no—
597C2×#538D1311yescharacteristic, complemented
598#2861—131no—
599#2860—131no—
600#2854—131no—
601#2850—131no—
602#2664—131no—
603#2663—131no—
604#2662—131no—
605#2661—131no—
606#2560—131no—
607#2559—131no—
608#2558—131no—
609#2557—131no—
610#2549—131no—
611#2543—131no—
612#2539—131no—
613#2534—131no—
614#2521—131no—
615#2519—131no—
616#2488—131no—
617#2472—131no—
618#2464—131no—
619#2461—131no—
620#2425—131no—
621#2424—131no—
622#2322—131no—
623#2321—131no—
624C4×#121—131no—
625C2×#388—131no—
626C42×D4—131no—
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—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—44no—
659C23×C13—44no—
660C23×C13—44no—
661C23×C13—82no—
662C23×C13—82no—
663C23×C13—82no—
664C23×C13—82no—
665C23×C13C22×D412yes—
666C23×C13C22×D412yes—
667C23×C13C2×#4112yes—
668C23×C13C2×#4112yes—
669C23×C13C2511yescharacteristic
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677Q8×C13—82no—
678D4×C13—28no—
679D4×C13—44no—
680D4×C13—82no—
681D4×C13—82no—
682D4×C13—82no—
683D4×C13—82no—
684D4×C13—82no—
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—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
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—44no—
711C2×C4×C13—44no—
712C2×C4×C13—82no—
713C2×C4×C13—82no—
714C2×C4×C13C22×D412yes—
715C2×C4×C13C22×D412yes—
716C2×C4×C13C22×D412yes—
717C2×C4×C13C22×D412yes—
718C2×C4×C13C22×D412yes—
719C22⋊D13—44no—
720C22⋊D13—44no—
721C22⋊D13—82no—
722C22⋊D13—82no—
723C22⋊D13—82no—
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—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—44no—
765C2×Dic13—44no—
766C2×Dic13—44no—
767C2×Dic13—44no—
768C2×Dic13—44no—
769C2×Dic13—82no—
770C2×Dic13C2×#4112yes—
771C2×Dic13C2×#4112yes—
772C2×Dic13C2×#4112yes—
773C2×Dic13C2×#4112yes—
774C2×Dic13H(5,𝔽2)12yes—
775C4×D13—82no—
776Dic26—82no—
777#539—268no—
778#538—28no—
779C2×#126—131no—
780C2×#126—131no—
781C2×#126C2×D1311yescharacteristic
782C2×#126C2×D1311yescharacteristic
783C2×#125—131no—
784C2×#125—131no—
785C2×#124—131no—
786C2×#124C2×D1311yescharacteristic
787C2×#124C2×D1311yescharacteristic
788C2×#123—131no—
789C2×#123—131no—
790C2×#123—131no—
791C2×#123—131no—
792C2×#123—131no—
793C2×#123C2×D1311yescharacteristic
794C2×#123C2×D1311yescharacteristic
795C2×C22⋊Q8—131no—
796C2×C22⋊Q8—131no—
797C2×C22⋊Q8—131no—
798C2×C22⋊Q8C2×D1311yescharacteristic
799C2×#121—131no—
800C2×#121—131no—
801C2×#121—131no—
802C2×#121C2×D1311yescharacteristic
803C2×#121C2×D1311yescharacteristic
804C2×#121C2×D1311yescharacteristic
805C2×#120—131no—
806C2×#120C2×D1311yescharacteristic
807C2×#120C2×D1311yescharacteristic
808C2×C4×D4—131no—
809C2×C4×D4—131no—
810C2×C4×D4—131no—
811C2×C4×D4—131no—
812C2×C4×D4C2×D1311yescharacteristic
813C2×C4×D4C2×D1311yescharacteristic
814C22×C4⋊C4—131no—
815C22×C22⋊C4—131no—
816C22×C22⋊C4—131no—
817C22×C22⋊C4C2×D1311yescharacteristic
818C22×C42—131no—
819C22×C42—131no—
820#400—131no—
821#400—131no—
822#399—131no—
823#399—131no—
824#398—131no—
825#398—131no—
826#398—131no—
827#398—131no—
828#397—131no—
829#397—131no—
830#397—131no—
831#397—131no—
832#396—131no—
833#396—131no—
834#396—131no—
835#396—131no—
836#395—131no—
837#395—131no—
838#394—131no—
839#394—131no—
840#394—131no—
841#394—131no—
842#394—131no—
843#394—131no—
844#394—131no—
845#394—131no—
846#393—131no—
847#393—131no—
848#392—131no—
849#392—131no—
850#392—131no—
851#392—131no—
852#391—131no—
853#391—131no—
854#391—131no—
855#390—131no—
856#390—131no—
857#390—131no—
858#390—131no—
859#390—131no—
860#390—131no—
861#390—131no—
862#390—131no—
863#390—131no—
864#389—131no—
865#389—131no—
866#389—131no—
867#389—131no—
868#389—131no—
869#389—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#388—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#388—131no—
892#388—131no—
893#388—131no—
894#388—131no—
895#388—131no—
896#387—131no—
897#387—131no—
898#386—131no—
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#385—131no—
911#385—131no—
912#385—131no—
913#385—131no—
914#382—131no—
915#381—131no—
916#380—131no—
917#380—131no—
918#379—131no—
919C4×C4⋊C4—131no—
920C4×C4⋊C4—131no—
921C4×C4⋊C4—131no—
922C4×C4⋊C4—131no—
923C4×C22⋊C4—131no—
924C4×C22⋊C4—131no—
925C4×C22⋊C4—131no—
926C4×C22⋊C4—131no—
927C4×C22⋊C4—131no—
928C4×C22⋊C4—131no—
929C4×C22⋊C4—131no—
930C4×C22⋊C4—131no—
931C2×#95—131no—
932C2×#95—131no—
933C43—131no—
934C22×C13—22no—
935C22×C13—22no—
936C22×C13—22no—
937C22×C13—22no—
938C22×C13—22no—
939C22×C13—22no—
940C22×C13—22no—
941C22×C13—22no—
942C22×C13—22no—
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—41no—
954C22×C13—41no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13—41no—
959C22×C13—41no—
960C22×C13—41no—
961C22×C13—41no—
962C22×C13—41no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13—41no—
968C22×C13—88no—
969C22×C13#53214yes—
970C22×C13C23×D411yescharacteristic
971C22×C13C22×#4111yescharacteristic
972C22×C13C22×#4111yescharacteristic
973C22×C13C2×H(5,𝔽2)11yescharacteristic
974C22×C13#58511yescharacteristic
975C22×C13#58511yescharacteristic
976C22×C13#58511yescharacteristic
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—41no—
980C2×D13—41no—
981C2×D13—41no—
982C2×D13—41no—
983C2×D13—41no—
984C4×C13—22no—
985C4×C13—22no—
986C4×C13—22no—
987C4×C13—22no—
988C4×C13—22no—
989C4×C13—41no—
990C4×C13—41no—
991C4×C13—41no—
992C4×C13—41no—
993C4×C13—41no—
994Dic13—22no—
995Dic13—22no—
996Dic13—22no—
997Dic13—22no—
998Dic13—22no—
999Dic13—41no—
1000Dic13—41no—
1001Dic13—41no—
1002Dic13—41no—
1003Dic13—41no—
1004Dic13—41no—
1005Dic13—41no—
1006Dic13—41no—
1007Dic13—41no—
1008Dic13—41no—
1009C25C22×D1311yescharacteristic
1010C22×Q8—131no—
1011C22×Q8C22×D1311yescharacteristic
1012C22×D4—131no—
1013C22×D4—131no—
1014C22×D4—131no—
1015C22×D4—131no—
1016C22×D4—131no—
1017C22×D4C22×D1311yescharacteristic
1018C22×D4C22×D1311yescharacteristic
1019C22×D4C22×D1311yescharacteristic
1020C22×D4C22×D1311yescharacteristic
1021C22×D4C22×D1311yescharacteristic
1022C22×D4C22×D1311yescharacteristic
1023C22×D4C22×D1311yescharacteristic
1024C23×C4—131no—
1025C23×C4—131no—
1026C23×C4—131no—
1027C23×C4—131no—
1028C23×C4—131no—
1029C23×C4—131no—
1030C23×C4—131no—
1031C23×C4C22×D1311yescharacteristic
1032C23×C4C22×D1311yescharacteristic
1033C23×C4C22×D1311yescharacteristic
1034C23×C4C22×D1311yescharacteristic
1035#126—24no—
1036#126—24no—
1037#126—264no—
1038#126—264no—
1039#125—264no—
1040#125—264no—
1041#124—24no—
1042#124—24no—
1043#124—522no—
1044#123—24no—
1045#123—24no—
1046#123—264no—
1047#123—264no—
1048#123—264no—
1049#123—264no—
1050#123—264no—
1051C22⋊Q8—24no—
1052C22⋊Q8—264no—
1053C22⋊Q8—264no—
1054C22⋊Q8—264no—
1055#121—24no—
1056#121—24no—
1057#121—24no—
1058#121—264no—
1059#121—264no—
1060#121—522no—
1061#120—24no—
1062#120—24no—
1063#120—264no—
1064C4×D4—24no—
1065C4×D4—264no—
1066C4×D4—264no—
1067C4×D4—264no—
1068C4×D4—522no—
1069C4×D4C22⋊D1318yescomplemented
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—131no—
1081C2×C4⋊C4—131no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—131no—
1084C2×C4⋊C4—131no—
1085C2×C4⋊C4—131no—
1086C2×C4⋊C4—131no—
1087C2×C4⋊C4—131no—
1088C2×C4⋊C4—131no—
1089C2×C4⋊C4—131no—
1090C2×C4⋊C4—131no—
1091C2×C4⋊C4—131no—
1092C2×C4⋊C4—131no—
1093C2×C4⋊C4—131no—
1094C2×C4⋊C4—264no—
1095C2×C4⋊C4C22×D1311yescharacteristic
1096C2×C4⋊C4C22×D1311yescharacteristic
1097C2×C4⋊C4C22×D1311yescharacteristic
1098C2×C4⋊C4C22×D1311yescharacteristic
1099C2×C4⋊C4C22×D1311yescharacteristic
1100C2×C4⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4—24no—
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⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
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—264no—
1141C2×C22⋊C4—522no—
1142C2×C22⋊C4C22×D1311yescharacteristic
1143C2×C22⋊C4C22×D1311yescharacteristic
1144C2×C22⋊C4C22×D1311yescharacteristic
1145C2×C22⋊C4C22×D1311yescharacteristic
1146C2×C22⋊C4C22×D1311yescharacteristic
1147C2×C22⋊C4C22×D1311yescharacteristic
1148C2×C22⋊C4C22×D1311yescharacteristic
1149C2×C22⋊C4C22×D1311yescharacteristic
1150C2×C22⋊C4C22×D1311yescharacteristic
1151C2×C22⋊C4C22×D1311yescharacteristic
1152C2×C22⋊C4C22×D1311yescharacteristic
1153C2×C22⋊C4C22×D1311yescharacteristic
1154C2×C22⋊C4C22×D1311yescharacteristic
1155C2×C22⋊C4C22×D1311yescharacteristic
1156C2×C42—131no—
1157C2×C42—131no—
1158C2×C42—131no—
1159C2×C42—131no—
1160C2×C42—131no—
1161C2×C42—131no—
1162C2×C42—131no—
1163C2×C42—131no—
1164C2×C42—131no—
1165C2×C42—131no—
1166C2×C42—131no—
1167C2×C42—131no—
1168C2×C42—131no—
1169C2×C42—522no—
1170C2×C42—522no—
1171C2×C42C22×D1311yescharacteristic
1172C2×C42C22×D1311yescharacteristic
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—
1183#95—131no—
1184#95—131no—
1185#95—131no—
1186#95—131no—
1187#95—131no—
1188#95—131no—
1189#95—131no—
1190#95—131no—
1191#95—131no—
1192#95—131no—
1193#95—131no—
1194#95—131no—
1195#95—131no—
1196#95—131no—
1197#95—131no—
1198#95—131no—
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
1203#95—131no—
1204#95—131no—
1205C2×C13—24no—
1206C2×C13—42no—
1207C2×C13—81no—
1208C2×C13—81no—
1209C2×C13—81no—
1210C2×C13C2×#53211yescharacteristic
1211C2×C13#345511yescharacteristic
1212C2×C13#345911yescharacteristic
1213C2×C13#349611yescharacteristic
1214C2×C13#350011yescharacteristic
1215C2×C13#351311yescharacteristic
1216C2×C13#352111yescharacteristic
1217D13—81no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—131no—
1226C24C23×D1311yescharacteristic
1227C24C23×D1311yescharacteristic
1228C24C23×D1311yescharacteristic
1229C24C23×D1311yescharacteristic
1230C24C23×D1311yescharacteristic
1231C2×Q8—22no—
1232C2×Q8—41no—
1233C2×Q8—41no—
1234C2×Q8—262no—
1235C2×Q8—521no—
1236C2×Q8—521no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—262no—
1258C2×D4—262no—
1259C2×D4—262no—
1260C2×D4—262no—
1261C2×D4—262no—
1262C2×D4—262no—
1263C2×D4—262no—
1264C2×D4—521no—
1265C2×D4—521no—
1266C2×D4—521no—
1267C2×D4—521no—
1268C2×D4—521no—
1269C2×D4—521no—
1270C2×D4—521no—
1271C2×D4—521no—
1272C2×D4C2×C22⋊D1314yes—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—131no—
1284C22×C4—131no—
1285C22×C4—131no—
1286C22×C4—131no—
1287C22×C4—131no—
1288C22×C4—134no—
1289C22×C4—131no—
1290C22×C4—131no—
1291C22×C4—131no—
1292C22×C4—131no—
1293C22×C4—131no—
1294C22×C4—131no—
1295C22×C4—131no—
1296C22×C4—131no—
1297C22×C4—131no—
1298C22×C4—131no—
1299C22×C4—262no—
1300C22×C4—262no—
1301C22×C4—262no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—262no—
1306C22×C4—262no—
1307C22×C4—262no—
1308C22×C4—262no—
1309C22×C4—521no—
1310C22×C4—521no—
1311C22×C4—521no—
1312C22×C4—521no—
1313C22×C4—521no—
1314C22×C4—521no—
1315C22×C4—521no—
1316C22×C4—521no—
1317C22×C4—521no—
1318C22×C4—521no—
1319C22×C4C2×C22⋊D1314yes—
1320C22×C4C2×C22⋊D1314yes—
1321C22×C4C23×D1311yescharacteristic
1322C22×C4C23×D1311yescharacteristic
1323C22×C4C23×D1311yescharacteristic
1324C22×C4C23×D1311yescharacteristic
1325C22×C4C23×D1311yescharacteristic
1326C22×C4C23×D1311yescharacteristic
1327C22×C4C23×D1311yescharacteristic
1328C22×C4C23×D1311yescharacteristic
1329C22×C4C23×D1311yescharacteristic
1330C22×C4C23×D1311yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—262no—
1337C4⋊C4—262no—
1338C4⋊C4—262no—
1339C4⋊C4—262no—
1340C4⋊C4—262no—
1341C4⋊C4—262no—
1342C4⋊C4—262no—
1343C4⋊C4—262no—
1344C4⋊C4—262no—
1345C4⋊C4—262no—
1346C4⋊C4—262no—
1347C4⋊C4—262no—
1348C4⋊C4—262no—
1349C4⋊C4—262no—
1350C4⋊C4—262no—
1351C4⋊C4—262no—
1352C4⋊C4—262no—
1353C4⋊C4—262no—
1354C4⋊C4—521no—
1355C4⋊C4—521no—
1356C4⋊C4—521no—
1357C4⋊C4—521no—
1358C4⋊C4—521no—
1359C4⋊C4—521no—
1360C4⋊C4C2×C22⋊D1314yes—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—134no—
1374C22⋊C4—262no—
1375C22⋊C4—262no—
1376C22⋊C4—262no—
1377C22⋊C4—262no—
1378C22⋊C4—262no—
1379C22⋊C4—262no—
1380C22⋊C4—262no—
1381C22⋊C4—262no—
1382C22⋊C4—262no—
1383C22⋊C4—262no—
1384C22⋊C4—262no—
1385C22⋊C4—262no—
1386C22⋊C4—262no—
1387C22⋊C4—262no—
1388C22⋊C4—262no—
1389C22⋊C4—262no—
1390C22⋊C4—262no—
1391C22⋊C4—262no—
1392C22⋊C4—262no—
1393C22⋊C4—262no—
1394C22⋊C4—262no—
1395C22⋊C4—262no—
1396C22⋊C4—262no—
1397C22⋊C4—262no—
1398C22⋊C4—262no—
1399C22⋊C4—521no—
1400C22⋊C4—521no—
1401C22⋊C4—521no—
1402C22⋊C4—521no—
1403C22⋊C4—521no—
1404C22⋊C4—521no—
1405C22⋊C4—521no—
1406C22⋊C4—521no—
1407C22⋊C4—521no—
1408C22⋊C4—521no—
1409C22⋊C4—521no—
1410C22⋊C4—521no—
1411C22⋊C4C2×C22⋊D1314yes—
1412C22⋊C4C2×C22⋊D1314yes—
1413C42—22no—
1414C42—262no—
1415C42—262no—
1416C42—262no—
1417C42—262no—
1418C42—262no—
1419C42—262no—
1420C42—521no—
1421C42—521no—
1422C42—521no—
1423C42—521no—
1424C42—521no—
1425C42—521no—
1426C42—521no—
1427C42C2×C22⋊D1314yes—
1428C13#3500911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—261no—
1468C23—261no—
1469C23—261no—
1470C23—261no—
1471C23—261no—
1472C23—261no—
1473C23—261no—
1474C23#41×D1312yes—
1475C23#41×D1312yes—
1476C23C22×C22⋊D1312yes—
1477C23C22×C22⋊D1312yes—
1478C23C24×D1311yescharacteristic
1479Q8—82no—
1480Q8—1042no—
1481D4—28no—
1482D4—44no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—524no—
1489D4—524no—
1490D4—1042no—
1491D4—1042no—
1492D4—1042no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—132no—
1523C2×C4—132no—
1524C2×C4—132no—
1525C2×C4—132no—
1526C2×C4—132no—
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—261no—
1540C2×C4—261no—
1541C2×C4—261no—
1542C2×C4—261no—
1543C2×C4—261no—
1544C2×C4—261no—
1545C2×C4—261no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—524no—
1568C2×C4—524no—
1569C2×C4—524no—
1570C2×C4—524no—
1571C2×C4—524no—
1572C2×C4—1042no—
1573C2×C4—1042no—
1574C2×C4C22×C22⋊D1312yes—
1575C2×C4C22×C22⋊D1312yes—
1576C2×C4C22×C22⋊D1312yes—
1577C2×C4C22×C22⋊D1312yes—
1578C2×C4C22×C22⋊D1312yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—88no—
1614C22—521no—
1615C22—521no—
1616C22—521no—
1617C22—521no—
1618C22—521no—
1619C22—521no—
1620C22—521no—
1621C22#1171953714yes—
1622C22C2×#41×D1311yescharacteristic
1623C22C2×#41×D1311yescharacteristic
1624C22D13×H(5,𝔽2)11yescharacteristic
1625C22#1171965011yescharacteristic
1626C22#1171965011yescharacteristic
1627C22#1171965011yescharacteristic
1628C22C23×C22⋊D1311yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—262no—
1640C4—262no—
1641C4—262no—
1642C4—262no—
1643C4—262no—
1644C4—521no—
1645C4—521no—
1646C4—521no—
1647C4—521no—
1648C4—521no—
1649C4—521no—
1650C4—521no—
1651C4—521no—
1652C4—521no—
1653C4—521no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—1041no—
1660C2C2×#1171953711yescharacteristic
1661C2#1312821811yescharacteristic
1662C2#1312824711yescharacteristic
1663C2#1312859511yescharacteristic
1664C2#1312862411yescharacteristic
1665C2#1312877211yescharacteristic
1666C2#1312890011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC2×C13×#538C2
hypercenterC2×#538D13
hypocenterC13#35009
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#11719269C2semidirect
2. #13123206C2semidirect
3. #13123201C2semidirect
4. #13123165C2semidirect
5. #13123135C2semidirect
6. #13120998C2semidirect
7. #13120986C2semidirect
8. #13120975C2semidirect
9. #13120965C2semidirect
10. #13119978C2semidirect
11. #13119961C2semidirect
12. #13119946C2semidirect
13. #13119933C2semidirect
14. #13119844C2semidirect
15. #13119794C2semidirect
16. #13119764C2semidirect
17. #13119723C2semidirect
18. #13119536C2semidirect
19. #13119516C2semidirect
20. #13119168C2semidirect
21. #13118961C2semidirect
22. #13118847C2semidirect
23. #13118802C2semidirect
24. #13118393C2semidirect
25. #13118376C2semidirect
26. #13117501C2semidirect
27. #13117494C2semidirect
28. C4×#88193C2semidirect
29. C2×#11718606C2semidirect
30. C4×D4×Dic13C2semidirect
31. C2×C13×#538C2semidirect
59. C2×#88183C22semidirect
61. C2×C4×C22⋊D13C22semidirect
62. C2×#88178C22semidirect
65. C22×C4×Dic13C22semidirect
67. C2×#88150C22semidirect
68. C2×#88143C22semidirect
70. C2×#88137C22semidirect
71. C2×#88133C22semidirect
73. C2×#88130C22semidirect
74. C2×#88124C22semidirect
76. #11718892C22semidirect
77. #11718891C22semidirect
78. #11718891C22semidirect
79. #11718890C22semidirect
83. #11718884C22semidirect
89. #11718883C22semidirect
98. #11718881C22semidirect
99. #11718881C22semidirect
102. #11718871C22semidirect
103. #11718871C22semidirect
105. C4×C22⋊Dic13C22semidirect
106. C4×C22⋊Dic13C22semidirect
109. #11718654C22semidirect
110. #11718651C22semidirect
111. #11718651C22semidirect
112. #11718651C22semidirect
113. #11718651C22semidirect
114. #11718647C22semidirect
115. #11718647C22semidirect
116. #11718645C22semidirect
117. #11718645C22semidirect
118. #11718644C22semidirect
119. #11718641C22semidirect
120. #11718640C22semidirect
121. #11718638C22semidirect
122. C4⋊C4×Dic13C22semidirect
123. C4⋊C4×Dic13C22semidirect
124. #11718635C22semidirect
125. #11718633C22semidirect
126. #11718633C22semidirect
127. #11718633C22semidirect
128. #11718633C22semidirect
129. #11718633C22semidirect
130. #11718633C22semidirect
132. #11718622C22semidirect
134. #11718619C22semidirect
140. #11718618C22semidirect
144. #11718613C22semidirect
145. #11718613C22semidirect
151. #11718609C22semidirect
169. #11718606C22semidirect
170. #11718606C22semidirect
171. #11718606C22semidirect
172. #11718606C22semidirect
173. #11718606C22semidirect
178. #11718603C22semidirect
181. C22⋊C4×Dic13C22semidirect
182. C22⋊C4×Dic13C22semidirect
183. C4×#6103C22semidirect
184. C4×C4⋊Dic13C22semidirect
185. #11718594C22semidirect
186. #11718594C22semidirect
187. C4×#6101C22semidirect
188. C42×Dic13C22semidirect
228. C4×D4×C13D4semidirect
597. C2×#538D13semidirect
1069. C4×D4C22⋊D13semidirect
1428. C13#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#117192692
#131232062
#131232012
#131231652
#131231352
#131209982
#131209862
#131209752
#131209652
#131199782
#131199612
#131199462
#131199332
#131198442
#131197942
#131197642
#131197232
#131195362
#131195162
#131191682
#131189612
#131188472
#131188022
#131183932
#131183762
#131175012
#131174942
C4×#881932
C2×#117186062
C4×D4×Dic132
C2×C13×#5382
#3500913