Finite Group Databasebeta

← #16069906

Subgroups — #16069906

Order 3328.

2490 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719343C211yesmaximal, characteristic, complemented
2C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13123120C211yesmaximal, characteristic, complemented
4#13123117C211yesmaximal, characteristic
5#13121501C211yesmaximal, characteristic, complemented
6#13121499C211yesmaximal, characteristic, complemented
7#13121489C211yesmaximal, characteristic, complemented
8#13121487C211yesmaximal, characteristic, complemented
9#13121470C211yesmaximal, characteristic, complemented
10#13121468C211yesmaximal, characteristic, complemented
11#13121462C211yesmaximal, characteristic, complemented
12#13121460C211yesmaximal, characteristic, complemented
13#13121210C211yesmaximal, characteristic, complemented
14#13121206C211yesmaximal, characteristic, complemented
15#13121206C211yesmaximal, characteristic, complemented
16#13121193C211yesmaximal, characteristic, complemented
17#13121192C211yesmaximal, characteristic, complemented
18#13121185C211yesmaximal, characteristic, complemented
19#13121184C211yesmaximal, characteristic, complemented
20#13120648C211yesmaximal, characteristic, complemented
21#13120583C211yesmaximal, characteristic, complemented
22#13119727C211yesmaximal, characteristic, complemented
23#13119724C211yesmaximal, characteristic, complemented
24#13118240C211yesmaximal, characteristic, complemented
25#13118238C211yesmaximal, characteristic, complemented
26#13118218C211yesmaximal, characteristic, complemented
27#13118216C211yesmaximal, characteristic, complemented
28#13118197C211yesmaximal, characteristic, complemented
29#13118196C211yesmaximal, characteristic, complemented
30#13117451C211yesmaximal, characteristic, complemented
31C13×#2683C211yesmaximal, characteristic, complemented
32C22×Q8×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×C22⋊Q8C2211yescharacteristic
35C2×C13×C22⋊Q8C2211yescharacteristic
36C2×C13×C22⋊Q8C2211yescharacteristic, complemented
37C2×C13×C22⋊Q8C2211yescharacteristic, complemented
38C2×#88200C2211yescharacteristic
39C2×#88200C2211yescharacteristic
40C2×#88200C2211yescharacteristic
41C2×#88200C2211yescharacteristic, complemented
42C2×#88193C2211yescharacteristic
43C2×#88191C2211yescharacteristic
44C2×#88183C2211yescharacteristic, complemented
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×#88178C2211yescharacteristic
47C2×#88178C2211yescharacteristic, complemented
48#11719343—28no—
49D13×C22⋊Q8—28no—
50C2×#88152C2211yescharacteristic, complemented
51C2×#88151C2211yescharacteristic
52C2×#88150C2211yescharacteristic
53C2×#88150C2211yescharacteristic
54C2×#88150C2211yescharacteristic, complemented
55C2×#88150C2211yescharacteristic, complemented
56C2×#88148C2211yescharacteristic
57C2×#88148C2211yescharacteristic
58C2×#88147C2211yescharacteristic
59C2×#88146C2211yescharacteristic
60C2×C4⋊C4×D13C2211yescharacteristic
61C2×C4⋊C4×D13C2211yescharacteristic
62C2×C4⋊C4×D13C2211yescharacteristic
63C2×#88143C2211yescharacteristic, complemented
64C2×#88143C2211yescharacteristic, complemented
65C2×#88138C2211yescharacteristic
66C2×#88138C2211yescharacteristic
67C2×#88137C2211yescharacteristic
68C2×#88137C2211yescharacteristic
69C2×#88137C2211yescharacteristic, complemented
70C2×#88136C2211yescharacteristic
71C2×C22⋊C4×D13C2211yescharacteristic
72C2×C22⋊C4×D13C2211yescharacteristic
73C2×#88133C2211yescharacteristic, complemented
74C2×#88132C2211yescharacteristic
75C2×#88132C2211yescharacteristic
76C2×#88126C2211yescharacteristic
77C13×#396C2211yescharacteristic
78C13×#396C2211yescharacteristic
79C13×#396C2211yescharacteristic, complemented
80C13×#396C2211yescharacteristic, complemented
81C13×#395C2211yescharacteristic, complemented
82C13×#395C2211yescharacteristic, complemented
83C13×#390C2211yescharacteristic
84C13×#389C2211yescharacteristic, complemented
85C13×#389C2211yescharacteristic, complemented
86C13×#386C2211yescharacteristic
87C13×#386C2211yescharacteristic
88#11718892C2211yescharacteristic, complemented
89#11718891C2211yescharacteristic, complemented
90#11718890C2211yescharacteristic, complemented
91#11718883C2211yescharacteristic
92#11718883C2211yescharacteristic
93#11718874C2211yescharacteristic
94#11718874C2211yescharacteristic
95#11718873C2211yescharacteristic
96#11718655C2211yescharacteristic
97#11718655C2211yescharacteristic
98#11718655C2211yescharacteristic
99#11718655C2211yescharacteristic, complemented
100#11718655C2211yescharacteristic, complemented
101#11718655C2211yescharacteristic, complemented
102#11718652C2211yescharacteristic
103#11718652C2211yescharacteristic
104#11718651C2211yescharacteristic
105#11718651C2211yescharacteristic, complemented
106#11718650C2211yescharacteristic
107#11718650C2211yescharacteristic
108#11718650C2211yescharacteristic
109#11718650C2211yescharacteristic
110#11718650C2211yescharacteristic
111#11718650C2211yescharacteristic
112#11718649C2211yescharacteristic
113#11718648C2211yescharacteristic
114#11718648C2211yescharacteristic
115#11718648C2211yescharacteristic
116#11718647C2211yescharacteristic, complemented
117#11718646C2211yescharacteristic, complemented
118#11718646C2211yescharacteristic, complemented
119#11718645C2211yescharacteristic, complemented
120#11718645C2211yescharacteristic, complemented
121#11718644C2211yescharacteristic, complemented
122#11718641C2211yescharacteristic, complemented
123#11718641C2211yescharacteristic, complemented
124#11718641C2211yescharacteristic, complemented
125#11718640C2211yescharacteristic, complemented
126#11718640C2211yescharacteristic, complemented
127#11718640C2211yescharacteristic, complemented
128#11718635C2211yescharacteristic, complemented
129#11718634C2211yescharacteristic, complemented
130#11718633C2211yescharacteristic, complemented
131#11718633C2211yescharacteristic, complemented
132#11718633C2211yescharacteristic, complemented
133#11718622C2211yescharacteristic
134#11718622C2211yescharacteristic
135#11718622C2211yescharacteristic, complemented
136#11718620C2211yescharacteristic
137#11718620C2211yescharacteristic
138#11718620C2211yescharacteristic, complemented
139#11718618C2211yescharacteristic
140#11718618C2211yescharacteristic
141#11718617C2211yescharacteristic
142#11718617C2211yescharacteristic
143#11718617C2211yescharacteristic
144#11718617C2211yescharacteristic
145#11718616C2211yescharacteristic
146#11718616C2211yescharacteristic
147#11718612C2211yescharacteristic, complemented
148#11718609C2211yescharacteristic
149#11718609C2211yescharacteristic
150#11718609C2211yescharacteristic, complemented
151#11718609C2211yescharacteristic, complemented
152#11718608C2211yescharacteristic, complemented
153#11718608C2211yescharacteristic, complemented
154#11718607C2211yescharacteristic
155#11718607C2211yescharacteristic
156#11718606C2211yescharacteristic
157#11718606C2211yescharacteristic
158#11718605C2211yescharacteristic
159#11718605C2211yescharacteristic
160#11718605C2211yescharacteristic, complemented
161#11718603C2211yescharacteristic
162#11718601C2211yescharacteristic
163#11718601C2211yescharacteristic, complemented
164#11718589C2211yescharacteristic, complemented
165#11718337C2211yescharacteristic
166#11718337C2211yescharacteristic, complemented
167#11718334C2211yescharacteristic, complemented
168#11718331C2211yescharacteristic
169#11718330C2211yescharacteristic
170#11718328C2211yescharacteristic
171#11718328C2211yescharacteristic
172#11718328C2211yescharacteristic
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic
176#11718326C2211yescharacteristic
177#11718325C2211yescharacteristic
178#11718325C2211yescharacteristic
179#11718320C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718318C2211yescharacteristic, complemented
183#11718318C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C22×Q8×C13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C2×Q8×D13—24no—
201C2×Q8×D13—42no—
202C2×Q8×D13—42no—
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×C4×D13—24no—
206C22×C4×D13—42no—
207C22×C4×D13—42no—
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×Dic26C2311yescharacteristic
218C22×Dic26C2311yescharacteristic
219C22×Dic26C2311yescharacteristic
220C13×C22⋊Q8—24no—
221C13×C22⋊Q8—24no—
222C13×C22⋊Q8—42no—
223C13×C22⋊Q8—42no—
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊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×C42×C13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258#88200—24no—
259#88200—24no—
260#88200—24no—
261#88200—42no—
262#88193—42no—
263#88191—42no—
264#88183—24no—
265C4×C22⋊D13—24no—
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301#88178—24no—
302#88178—42no—
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×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332#88152—24no—
333#88151—24no—
334#88150—24no—
335#88150—24no—
336#88150—42no—
337#88150—42no—
338#88148—24no—
339#88148—42no—
340#88147—24no—
341#88146—42no—
342C4⋊C4×D13—24no—
343C4⋊C4×D13—24no—
344C4⋊C4×D13D418yescomplemented
345#88143—24no—
346#88143—24no—
347#88138—24no—
348#88138—42no—
349#88137—24no—
350#88137—24no—
351#88137—42no—
352#88136—42no—
353C22⋊C4×D13—24no—
354C22⋊C4×D13—24no—
355#88133—24no—
356#88132—24no—
357#88132—24no—
358#88126—42no—
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
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#36719—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—41no—
400C23×D13—41no—
401C23×D13C2411yescharacteristic
402C23×D13C2411yescharacteristic
403C23×D13C2411yescharacteristic
404C2×Q8×C13—22no—
405C2×Q8×C13—22no—
406C2×Q8×C13—22no—
407C2×Q8×C13—41no—
408C2×Q8×C13—41no—
409C2×Q8×C13—41no—
410C2×D4×C13—22no—
411C2×D4×C13—41no—
412C2×D4×C13—41no—
413C22×C4×C13—22no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—41no—
417C22×C4×C13—41no—
418C22×C4×C13—41no—
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—22no—
437C2×C22⋊D13—22no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C22×Dic13—22no—
445C22×Dic13—22no—
446C22×Dic13—41no—
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460Q8×D13—416no—
461C2×D52—22no—
462C2×D52—22no—
463C2×D52—22no—
464C2×D52—22no—
465C2×D52—41no—
466C2×D52—41no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—416no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×C4×D13—41no—
489C2×C4×D13—41no—
490C2×C4×D13—41no—
491C2×C4×D13—41no—
492C2×C4×D13C2×D414yes—
493C2×C4×D13C2×D414yes—
494C2×C4×D13C2×D414yes—
495C2×Dic26—22no—
496C2×Dic26—22no—
497C2×Dic26—22no—
498C2×Dic26—22no—
499C2×Dic26—22no—
500C2×Dic26—22no—
501C2×Dic26—41no—
502C2×Dic26—41no—
503C2×Dic26—41no—
504C13×C4⋊C4—22no—
505C13×C4⋊C4—22no—
506C13×C4⋊C4—22no—
507C13×C4⋊C4—22no—
508C13×C4⋊C4—22no—
509C13×C4⋊C4—22no—
510C13×C4⋊C4—41no—
511C13×C4⋊C4—41no—
512C13×C4⋊C4—41no—
513C13×C4⋊C4—41no—
514C13×C4⋊C4—41no—
515C13×C4⋊C4—41no—
516C13×C4⋊C4C2×D414yes—
517C13×C22⋊C4—22no—
518C13×C22⋊C4—22no—
519C13×C22⋊C4—22no—
520C13×C22⋊C4—22no—
521C13×C22⋊C4—22no—
522C13×C22⋊C4—41no—
523C13×C22⋊C4—41no—
524C13×C22⋊C4—41no—
525C13×C22⋊C4—41no—
526C13×C22⋊C4—41no—
527C42×C13—41no—
528C22⋊Dic13—22no—
529C22⋊Dic13—22no—
530C22⋊Dic13—22no—
531C22⋊Dic13—22no—
532C22⋊Dic13—22no—
533C22⋊Dic13—22no—
534C22⋊Dic13—22no—
535C22⋊Dic13—41no—
536C22⋊Dic13—41no—
537C22⋊Dic13—41no—
538#6103—22no—
539#6103—22no—
540#6103—22no—
541#6103—22no—
542#6103—22no—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—22no—
547#6103—22no—
548#6103—22no—
549#6103—22no—
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—
559#6103—41no—
560#6103—41no—
561#6103—41no—
562#6103—41no—
563#6103—41no—
564C4⋊Dic13—22no—
565C4⋊Dic13—22no—
566C4⋊Dic13—22no—
567C4⋊Dic13—22no—
568C4⋊Dic13—41no—
569C4⋊Dic13—41no—
570C4⋊Dic13—41no—
571C4⋊Dic13—41no—
572C4⋊Dic13C2×D414yes—
573#6101—22no—
574#6101—22no—
575#6101—22no—
576#6101—22no—
577#6101—22no—
578#6101—22no—
579#6101—22no—
580#6101—22no—
581#6101—22no—
582#6101—22no—
583#6101—22no—
584#6101—22no—
585#6101—41no—
586#6101—41no—
587#6101—41no—
588#6101—41no—
589#6101—41no—
590#6101—41no—
591#6101—41no—
592#6101—41no—
593#6101—41no—
594#6101—41no—
595#6101C2×D414yes—
596#6101C2×D414yes—
597C4×Dic13—22no—
598C4×Dic13—22no—
599C4×Dic13—41no—
600C4×Dic13—41no—
601C4×Dic13—41no—
602C2×#539—131no—
603C22×C22⋊Q8—131no—
604#2848—131no—
605#2847—131no—
606#2704—131no—
607#2704—131no—
608#2704—131no—
609#2704—131no—
610#2702—131no—
611#2702—131no—
612#2702—131no—
613#2702—131no—
614#2683—131no—
615#2683—131no—
616#2683—131no—
617#2683D1311yescharacteristic, complemented
618#2681—131no—
619#2681—131no—
620#2681—131no—
621#2681—131no—
622#2627—131no—
623#2618—131no—
624#2534—131no—
625#2534—131no—
626#2413—131no—
627#2413—131no—
628#2411—131no—
629#2411—131no—
630#2409—131no—
631#2409—131no—
632#2316—131no—
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×C132−1+412yes—
647C23×C13C2511yescharacteristic
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—28no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—21no—
665C22×D13—21no—
666C22×D13—44no—
667C22×D13—44no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13C22×D412yes—
673C22×D13H(5,𝔽2)12yes—
674C22×D132−1+412yes—
675C22×D132−1+412yes—
676Q8×C13—44no—
677Q8×C13—82no—
678D4×C13—82no—
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—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—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—44no—
715C2×C4×C13—82no—
716C2×C4×C13C22×D412yes—
717C2×C4×C13C22×D412yes—
718C2×C4×C13C22×D412yes—
719C2×C4×C13H(5,𝔽2)12yes—
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—44no—
760C2×Dic13C22×D412yes—
761C2×Dic13C22×D412yes—
762C2×Dic13C22×D412yes—
763C2×Dic13H(5,𝔽2)12yes—
764D52—44no—
765D52—82no—
766C4×D13—28no—
767C4×D13—28no—
768C4×D13—44no—
769C4×D13—44no—
770C4×D13—44no—
771C4×D13—44no—
772C4×D13—44no—
773C4×D13—44no—
774C4×D13—82no—
775Dic26—44no—
776Dic26—44no—
777Dic26—44no—
778C23×Q8—131no—
779C24×C4—131no—
780#539—268no—
781C2×#126—131no—
782C2×#126—131no—
783C2×#125—131no—
784C2×#125—131no—
785C2×#123—131no—
786C2×#123—131no—
787C2×#123—131no—
788C2×#123—131no—
789C2×#123—131no—
790C2×#123—131no—
791C2×C22⋊Q8—131no—
792C2×C22⋊Q8—131no—
793C2×C22⋊Q8—131no—
794C2×C22⋊Q8—131no—
795C2×C22⋊Q8—131no—
796C2×C22⋊Q8—131no—
797C2×C22⋊Q8—131no—
798C2×C22⋊Q8—131no—
799C2×C22⋊Q8—131no—
800C2×C22⋊Q8—131no—
801C2×C22⋊Q8—131no—
802C2×C22⋊Q8—131no—
803C2×C22⋊Q8—131no—
804C2×C22⋊Q8—268no—
805C2×C22⋊Q8C2×D1311yescharacteristic
806C2×C22⋊Q8C2×D1311yescharacteristic
807C2×C22⋊Q8C2×D1311yescharacteristic, complemented
808C2×C22⋊Q8C2×D1311yescharacteristic, complemented
809C2×#121—131no—
810C2×#121—131no—
811C2×#121—131no—
812C2×#120—131no—
813C2×#120—131no—
814C2×C4×D4—131no—
815C2×C4×D4—131no—
816C2×#117—131no—
817C2×#117—131no—
818C22×C4⋊C4—131no—
819C22×C4⋊C4—131no—
820C22×C4⋊C4—131no—
821C22×C22⋊C4—131no—
822C22×C22⋊C4—131no—
823#400—131no—
824#400—131no—
825#398—131no—
826#398—131no—
827#398—131no—
828#398—131no—
829#398—131no—
830#398—131no—
831#398—131no—
832#398—131no—
833#398—131no—
834#398—131no—
835#396—131no—
836#396—131no—
837#396—131no—
838#396—131no—
839#396—131no—
840#396—131no—
841#396—131no—
842#396—131no—
843#396—131no—
844#396—131no—
845#396—131no—
846#396—131no—
847#396C2×D1311yescharacteristic
848#396C2×D1311yescharacteristic
849#396C2×D1311yescharacteristic, complemented
850#396C2×D1311yescharacteristic, complemented
851#395—131no—
852#395—131no—
853#395—131no—
854#395—131no—
855#395C2×D1311yescharacteristic, complemented
856#395C2×D1311yescharacteristic, complemented
857#394—131no—
858#394—131no—
859#394—131no—
860#394—131no—
861#394—131no—
862#394—131no—
863#394—131no—
864#394—131no—
865#394—131no—
866#394—131no—
867#393—131no—
868#393—131no—
869#393—131no—
870#393—131no—
871#391—131no—
872#391—131no—
873#391—131no—
874#391—131no—
875#390—131no—
876#390—131no—
877#390—131no—
878#390C2×D1311yescharacteristic
879#389—131no—
880#389—131no—
881#389—131no—
882#389—131no—
883#389—131no—
884#389—131no—
885#389—131no—
886#389—131no—
887#389—131no—
888#389—131no—
889#389C2×D1311yescharacteristic, complemented
890#389C2×D1311yescharacteristic, complemented
891#388—131no—
892#388—131no—
893#388—131no—
894#388—131no—
895#388—131no—
896#388—131no—
897#388—131no—
898#388—131no—
899#388—131no—
900#388—131no—
901#388—131no—
902#388—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#386—131no—
913#386C2×D1311yescharacteristic
914#386C2×D1311yescharacteristic
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#381—131no—
924#381—131no—
925#380—131no—
926#380—131no—
927#380—131no—
928#380—131no—
929#380—131no—
930#380—131no—
931#380—131no—
932#380—131no—
933#379—131no—
934#379—131no—
935C22×C13—22no—
936C22×C13—22no—
937C22×C13—22no—
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×C13C23×D411yescharacteristic
950C22×C13C2×H(5,𝔽2)11yescharacteristic
951C22×C13C2×H(5,𝔽2)11yescharacteristic
952C22×C13C2×H(5,𝔽2)11yescharacteristic
953C22×C13C2×2−1+411yescharacteristic
954C22×C13C2×2−1+411yescharacteristic
955C22×C13C2×2−1+411yescharacteristic
956C2×D13—22no—
957C2×D13—22no—
958C2×D13—22no—
959C2×D13—22no—
960C2×D13—22no—
961C2×D13—22no—
962C2×D13—22no—
963C2×D13—22no—
964C2×D13—22no—
965C2×D13—416no—
966C2×D13—41no—
967C2×D13—41no—
968C2×D13—41no—
969C2×D13—41no—
970C2×D13—41no—
971C2×D13—41no—
972C2×D13—41no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—41no—
976C2×D13—41no—
977C2×D13#53714yes—
978C4×C13—22no—
979C4×C13—22no—
980C4×C13—22no—
981C4×C13—22no—
982C4×C13—41no—
983C4×C13—41no—
984C4×C13—41no—
985C4×C13—41no—
986C4×C13—41no—
987C4×C13—41no—
988C4×C13—41no—
989C4×C13—41no—
990C4×C13—41no—
991Dic13—22no—
992Dic13—22no—
993Dic13—22no—
994Dic13—22no—
995Dic13—41no—
996Dic13—41no—
997Dic13—41no—
998Dic13—41no—
999Dic13—41no—
1000Dic13—41no—
1001Dic13—41no—
1002Dic13—41no—
1003Dic13—41no—
1004C25—131no—
1005C22×Q8—131no—
1006C22×Q8—131no—
1007C22×Q8—131no—
1008C22×Q8—264no—
1009C22×Q8—522no—
1010C22×Q8—522no—
1011C22×Q8C22×D1311yescharacteristic
1012C22×Q8C22×D1311yescharacteristic
1013C22×D4—131no—
1014C22×D4—131no—
1015C22×D4—131no—
1016C22×D4—131no—
1017C22×D4—131no—
1018C22×D4—131no—
1019C22×D4C22×D1311yescharacteristic
1020C23×C4—131no—
1021C23×C4—131no—
1022C23×C4—131no—
1023C23×C4—131no—
1024C23×C4—131no—
1025C23×C4—131no—
1026C23×C4—131no—
1027C23×C4—131no—
1028C23×C4—131no—
1029C23×C4—131no—
1030C23×C4—264no—
1031C23×C4—522no—
1032C23×C4—522no—
1033C23×C4C22×D1311yescharacteristic
1034C23×C4C22×D1311yescharacteristic
1035#126—264no—
1036#126—264no—
1037#125—264no—
1038#125—264no—
1039#123—264no—
1040#123—264no—
1041#123—264no—
1042#123—264no—
1043#123—522no—
1044#123—522no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047C22⋊Q8—42no—
1048C22⋊Q8—42no—
1049C22⋊Q8—264no—
1050C22⋊Q8—264no—
1051C22⋊Q8—264no—
1052C22⋊Q8—264no—
1053C22⋊Q8—264no—
1054C22⋊Q8—264no—
1055C22⋊Q8—264no—
1056C22⋊Q8—264no—
1057C22⋊Q8—264no—
1058C22⋊Q8—522no—
1059C22⋊Q8—522no—
1060C22⋊Q8—522no—
1061C22⋊Q8—522no—
1062#121—264no—
1063#121—522no—
1064#121—522no—
1065#120—522no—
1066#120—522no—
1067C4×D4—264no—
1068C4×D4—264no—
1069#117—522no—
1070#117—522no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—138no—
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—131no—
1095C2×C4⋊C4—131no—
1096C2×C4⋊C4—131no—
1097C2×C4⋊C4—131no—
1098C2×C4⋊C4—131no—
1099C2×C4⋊C4—131no—
1100C2×C4⋊C4—131no—
1101C2×C4⋊C4—131no—
1102C2×C4⋊C4—131no—
1103C2×C4⋊C4—131no—
1104C2×C4⋊C4—131no—
1105C2×C4⋊C4—264no—
1106C2×C4⋊C4—264no—
1107C2×C4⋊C4C22×D1311yescharacteristic
1108C2×C4⋊C4C22×D1311yescharacteristic
1109C2×C4⋊C4C22×D1311yescharacteristic
1110C2×C4⋊C4C22×D1311yescharacteristic
1111C2×C4⋊C4C22×D1311yescharacteristic
1112C2×C4⋊C4C22×D1311yescharacteristic
1113C2×C4⋊C4C22×D1311yescharacteristic
1114C2×C4⋊C4C22×D1311yescharacteristic
1115C2×C4⋊C4C22×D1311yescharacteristic
1116C2×C4⋊C4C22×D1311yescharacteristic
1117C2×C4⋊C4C22×D1311yescharacteristic
1118C2×C4⋊C4C22×D1311yescharacteristic
1119C2×C4⋊C4C22×D1311yescharacteristic
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—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—264no—
1157C2×C22⋊C4—264no—
1158C2×C22⋊C4C22×D1311yescharacteristic
1159C2×C22⋊C4C22×D1311yescharacteristic
1160C2×C22⋊C4C22×D1311yescharacteristic
1161C2×C22⋊C4C22×D1311yescharacteristic
1162C2×C22⋊C4C22×D1311yescharacteristic
1163C2×C22⋊C4C22×D1311yescharacteristic
1164C2×C22⋊C4C22×D1311yescharacteristic
1165C2×C22⋊C4C22×D1311yescharacteristic
1166C2×C22⋊C4C22×D1311yescharacteristic
1167C2×C22⋊C4C22×D1311yescharacteristic
1168C2×C42—131no—
1169C2×C42—131no—
1170C2×C42—131no—
1171C2×C42—131no—
1172C2×C42—131no—
1173C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1201#95C22×D1311yescharacteristic
1202#95C22×D1311yescharacteristic
1203#95C22×D1311yescharacteristic
1204#95C22×D1311yescharacteristic
1205#95C22×D1311yescharacteristic
1206C2×C13—42no—
1207C2×C13—81no—
1208C2×C13C2×#53711yescharacteristic
1209C2×C13#348411yescharacteristic
1210C2×C13#348611yescharacteristic
1211C2×C13#353611yescharacteristic
1212C2×C13#353611yescharacteristic
1213C2×C13#353811yescharacteristic
1214C2×C13#353811yescharacteristic
1215D13—24no—
1216D13—42no—
1217D13—81no—
1218C24—131no—
1219C24—131no—
1220C24—131no—
1221C24—262no—
1222C24—262no—
1223C24—262no—
1224C24—262no—
1225C24—262no—
1226C24—521no—
1227C24—521no—
1228C24C23×D1311yescharacteristic
1229C24C23×D1311yescharacteristic
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×Q8—262no—
1237C2×Q8—262no—
1238C2×Q8—262no—
1239C2×Q8—262no—
1240C2×Q8—262no—
1241C2×Q8—262no—
1242C2×Q8—521no—
1243C2×Q8—521no—
1244C2×Q8—521no—
1245C2×Q8—5216no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—262no—
1250C2×D4—262no—
1251C2×D4—262no—
1252C2×D4—262no—
1253C2×D4—262no—
1254C2×D4—262no—
1255C2×D4—262no—
1256C2×D4—262no—
1257C2×D4—262no—
1258C2×D4—262no—
1259C2×D4—521no—
1260C2×D4—521no—
1261C2×D4—521no—
1262C2×D4—521no—
1263C2×D4—521no—
1264C2×D4—521no—
1265C2×D4—521no—
1266C2×D4—521no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—131no—
1274C22×C4—131no—
1275C22×C4—131no—
1276C22×C4—131no—
1277C22×C4—134no—
1278C22×C4—134no—
1279C22×C4—134no—
1280C22×C4—131no—
1281C22×C4—131no—
1282C22×C4—131no—
1283C22×C4—131no—
1284C22×C4—131no—
1285C22×C4—131no—
1286C22×C4—131no—
1287C22×C4—131no—
1288C22×C4—131no—
1289C22×C4—262no—
1290C22×C4—262no—
1291C22×C4—262no—
1292C22×C4—262no—
1293C22×C4—262no—
1294C22×C4—262no—
1295C22×C4—262no—
1296C22×C4—262no—
1297C22×C4—262no—
1298C22×C4—262no—
1299C22×C4—262no—
1300C22×C4—262no—
1301C22×C4—262no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—521no—
1306C22×C4—521no—
1307C22×C4—521no—
1308C22×C4—521no—
1309C22×C4—521no—
1310C22×C4—521no—
1311C22×C4—521no—
1312C22×C4—521no—
1313C22×C4—521no—
1314C22×C4—521no—
1315C22×C4—5216no—
1316C22×C4—521no—
1317C22×C4C23×D1311yescharacteristic
1318C22×C4C23×D1311yescharacteristic
1319C22×C4C23×D1311yescharacteristic
1320C22×C4C23×D1311yescharacteristic
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
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—134no—
1343C4⋊C4—134no—
1344C4⋊C4—134no—
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—262no—
1355C4⋊C4—262no—
1356C4⋊C4—262no—
1357C4⋊C4—262no—
1358C4⋊C4—262no—
1359C4⋊C4—262no—
1360C4⋊C4—262no—
1361C4⋊C4—521no—
1362C4⋊C4—521no—
1363C4⋊C4—521no—
1364C4⋊C4—521no—
1365C4⋊C4—521no—
1366C4⋊C4—521no—
1367C4⋊C4—521no—
1368C4⋊C4—521no—
1369C4⋊C4—521no—
1370C4⋊C4—521no—
1371C4⋊C4—521no—
1372C4⋊C4—521no—
1373C4⋊C4—521no—
1374C4⋊C4—521no—
1375C4⋊C4D4×D1314yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
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—262no—
1400C22⋊C4—262no—
1401C22⋊C4—262no—
1402C22⋊C4—262no—
1403C22⋊C4—262no—
1404C22⋊C4—262no—
1405C22⋊C4—262no—
1406C22⋊C4—262no—
1407C22⋊C4—262no—
1408C22⋊C4—262no—
1409C22⋊C4—262no—
1410C22⋊C4—262no—
1411C22⋊C4—521no—
1412C22⋊C4—521no—
1413C22⋊C4—521no—
1414C22⋊C4—521no—
1415C22⋊C4—521no—
1416C22⋊C4—521no—
1417C22⋊C4—521no—
1418C22⋊C4—521no—
1419C22⋊C4—521no—
1420C22⋊C4—521no—
1421C22⋊C4—521no—
1422C42—41no—
1423C42—262no—
1424C42—262no—
1425C42—521no—
1426C42—521no—
1427C42—521no—
1428C13#3671911yescharacteristic, 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—132no—
1443C23—132no—
1444C23—132no—
1445C23—132no—
1446C23—268no—
1447C23—261no—
1448C23—261no—
1449C23—261no—
1450C23—261no—
1451C23—261no—
1452C23—261no—
1453C23—261no—
1454C23—261no—
1455C23—261no—
1456C23—261no—
1457C23—261no—
1458C23—261no—
1459C23—261no—
1460C23—261no—
1461C23—261no—
1462C23—261no—
1463C23—261no—
1464C23—524no—
1465C23—524no—
1466C23—524no—
1467C23—524no—
1468C23—524no—
1469C23—524no—
1470C23#8825412yes—
1471C23C24×D1311yescharacteristic
1472Q8—44no—
1473Q8—82no—
1474Q8—524no—
1475Q8—524no—
1476Q8—524no—
1477D4—82no—
1478D4—524no—
1479D4—524no—
1480D4—1042no—
1481D4—1042no—
1482D4—1042no—
1483D4—1042no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
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—21no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—132no—
1522C2×C4—132no—
1523C2×C4—132no—
1524C2×C4—132no—
1525C2×C4—268no—
1526C2×C4—268no—
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—524no—
1563C2×C4—524no—
1564C2×C4—524no—
1565C2×C4—524no—
1566C2×C4—524no—
1567C2×C4—524no—
1568C2×C4—524no—
1569C2×C4—1042no—
1570C2×C4C2×D4×D1312yes—
1571C2×C4C2×D4×D1312yes—
1572C2×C4C2×D4×D1312yes—
1573C2×C4#8825112yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—134no—
1589C22—262no—
1590C22—262no—
1591C22—262no—
1592C22—262no—
1593C22—262no—
1594C22—262no—
1595C22—262no—
1596C22—262no—
1597C22—262no—
1598C22—5216no—
1599C22—521no—
1600C22—521no—
1601C22—521no—
1602C22—521no—
1603C22—521no—
1604C22—521no—
1605C22—521no—
1606C22—521no—
1607C22—521no—
1608C22—521no—
1609C22—521no—
1610C22C22×D4×D1311yescharacteristic
1611C22C2×#8825111yescharacteristic
1612C22C2×#8825411yescharacteristic
1613C22D13×H(5,𝔽2)11yescharacteristic
1614C22D13×H(5,𝔽2)11yescharacteristic
1615C22D13×2−1+411yescharacteristic
1616C22D13×2−1+411yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—262no—
1631C4—262no—
1632C4—262no—
1633C4—262no—
1634C4—521no—
1635C4—521no—
1636C4—521no—
1637C4—521no—
1638C4—521no—
1639C4—521no—
1640C4—521no—
1641C4—521no—
1642C4—521no—
1643C2—42no—
1644C2—81no—
1645C2—264no—
1646C2—522no—
1647C2—1041no—
1648C2D13×#53711yescharacteristic
1649C2#1312846411yescharacteristic
1650C2#1312848611yescharacteristic
1651C2#1312905411yescharacteristic
1652C2#1312906211yescharacteristic
1653C2#1312907711yescharacteristic
1654C2#1312908011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2683C2
prime radical#13123117C2
hypercenter#2683D13
hypocenterC13#36719
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2683

Complements

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

NH ≅ G/Ntype
1. C2×#11719343C2semidirect
2. C2×D13×C22⋊Q8C2semidirect
3. #13123120C2semidirect
5. #13121501C2semidirect
6. #13121499C2semidirect
7. #13121489C2semidirect
8. #13121487C2semidirect
9. #13121470C2semidirect
10. #13121468C2semidirect
11. #13121462C2semidirect
12. #13121460C2semidirect
13. #13121210C2semidirect
14. #13121206C2semidirect
15. #13121206C2semidirect
16. #13121193C2semidirect
17. #13121192C2semidirect
18. #13121185C2semidirect
19. #13121184C2semidirect
20. #13120648C2semidirect
21. #13120583C2semidirect
22. #13119727C2semidirect
23. #13119724C2semidirect
24. #13118240C2semidirect
25. #13118238C2semidirect
26. #13118218C2semidirect
27. #13118216C2semidirect
28. #13118197C2semidirect
29. #13118196C2semidirect
30. #13117451C2semidirect
31. C13×#2683C2semidirect
36. C2×C13×C22⋊Q8C22semidirect
37. C2×C13×C22⋊Q8C22semidirect
41. C2×#88200C22semidirect
44. C2×#88183C22semidirect
47. C2×#88178C22semidirect
50. C2×#88152C22semidirect
54. C2×#88150C22semidirect
55. C2×#88150C22semidirect
63. C2×#88143C22semidirect
64. C2×#88143C22semidirect
69. C2×#88137C22semidirect
73. C2×#88133C22semidirect
79. C13×#396C22semidirect
80. C13×#396C22semidirect
81. C13×#395C22semidirect
82. C13×#395C22semidirect
84. C13×#389C22semidirect
85. C13×#389C22semidirect
88. #11718892C22semidirect
89. #11718891C22semidirect
90. #11718890C22semidirect
99. #11718655C22semidirect
100. #11718655C22semidirect
101. #11718655C22semidirect
105. #11718651C22semidirect
116. #11718647C22semidirect
117. #11718646C22semidirect
118. #11718646C22semidirect
119. #11718645C22semidirect
120. #11718645C22semidirect
121. #11718644C22semidirect
122. #11718641C22semidirect
123. #11718641C22semidirect
124. #11718641C22semidirect
125. #11718640C22semidirect
126. #11718640C22semidirect
127. #11718640C22semidirect
128. #11718635C22semidirect
129. #11718634C22semidirect
130. #11718633C22semidirect
131. #11718633C22semidirect
132. #11718633C22semidirect
135. #11718622C22semidirect
138. #11718620C22semidirect
147. #11718612C22semidirect
150. #11718609C22semidirect
151. #11718609C22semidirect
152. #11718608C22semidirect
153. #11718608C22semidirect
160. #11718605C22semidirect
163. #11718601C22semidirect
164. #11718589C22semidirect
166. #11718337C22semidirect
167. #11718334C22semidirect
179. #11718320C22semidirect
180. #11718318C22semidirect
181. #11718318C22semidirect
182. #11718318C22semidirect
183. #11718318C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
344. C4⋊C4×D13D4semidirect
617. #2683D13semidirect
807. C2×C22⋊Q8C2×D13semidirect
808. C2×C22⋊Q8C2×D13semidirect
849. #396C2×D13semidirect
850. #396C2×D13semidirect
855. #395C2×D13semidirect
856. #395C2×D13semidirect
889. #389C2×D13semidirect
890. #389C2×D13semidirect
1428. C13#36719semidirect

Maximal subgroups

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

subgroupindex
C2×#117193432
C2×D13×C22⋊Q82
#131231202
#131231172
#131215012
#131214992
#131214892
#131214872
#131214702
#131214682
#131214622
#131214602
#131212102
#131212062
#131211932
#131211922
#131211852
#131211842
#131206482
#131205832
#131197272
#131197242
#131182402
#131182382
#131182182
#131182162
#131181972
#131181962
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C13×#26832
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