Finite Group Databasebeta

← #16035715

Subgroups — #16035715

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123163C211yesmaximal, characteristic, complemented
2#13123156C211yesmaximal, characteristic, complemented
3#13123154C211yesmaximal, characteristic, complemented
4#13123136C211yesmaximal, characteristic, complemented
5#13120893C211yesmaximal, characteristic, complemented
6#13120839C211yesmaximal, characteristic, complemented
7#13120824C211yesmaximal, characteristic, complemented
8#13119497C211yesmaximal, characteristic, complemented
9#13119489C211yesmaximal, characteristic, complemented
10#13119399C211yesmaximal, characteristic, complemented
11#13119389C211yesmaximal, characteristic, complemented
12#13119340C211yesmaximal, characteristic, complemented
13#13119163C211yesmaximal, characteristic, complemented
14#13119083C211yesmaximal, characteristic, complemented
15#13118957C211yesmaximal, characteristic, complemented
16#13118880C211yesmaximal, characteristic, complemented
17#13118768C211yesmaximal, characteristic, complemented
18#13118581C211yesmaximal, characteristic, complemented
19#13118498C211yesmaximal, characteristic, complemented
20#13118388C211yesmaximal, characteristic, complemented
21#13118227C211yesmaximal, characteristic, complemented
22#13118203C211yesmaximal, characteristic
23#13118158C211yesmaximal, characteristic, complemented
24#13117563C211yesmaximal, characteristic, complemented
25#13117495C211yesmaximal, characteristic, complemented
26#13117466C211yesmaximal, characteristic, complemented
27#13117430C211yesmaximal, characteristic, complemented
28#13117341C211yesmaximal, characteristic, complemented
29D13×#386C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×#88192C2211yescharacteristic
35C2×#88191C2211yescharacteristic
36C2×#88191C2211yescharacteristic
37C2×#88190C2211yescharacteristic, complemented
38C2×D4×Dic13C2211yescharacteristic, complemented
39C2×#88152C2211yescharacteristic, complemented
40C2×#88151C2211yescharacteristic, complemented
41C2×#88150C2211yescharacteristic
42C2×#88148C2211yescharacteristic
43C2×#88138C2211yescharacteristic
44C2×#88137C2211yescharacteristic
45C2×#88137C2211yescharacteristic, complemented
46C2×#88135C2211yescharacteristic
47C2×#88135C2211yescharacteristic, complemented
48C2×C22⋊C4×D13C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C42×D13C2211yescharacteristic, complemented
54C2×C42×D13C2211yescharacteristic, complemented
55C13×#400C2211yescharacteristic, complemented
56C13×#397C2211yescharacteristic, complemented
57C13×#397C2211yescharacteristic, complemented
58C13×#396C2211yescharacteristic, complemented
59C13×#394C2211yescharacteristic
60C13×#394C2211yescharacteristic, complemented
61C13×#394C2211yescharacteristic, complemented
62C13×#392C2211yescharacteristic
63C13×#390C2211yescharacteristic, complemented
64C13×#388C2211yescharacteristic, complemented
65C13×#388C2211yescharacteristic, complemented
66C13×#387C2211yescharacteristic, complemented
67C13×#386C2211yescharacteristic
68C13×#386C2211yescharacteristic, complemented
69C4×C13×C22⋊C4C2211yescharacteristic, complemented
70#11718884C2211yescharacteristic
71#11718883C2211yescharacteristic
72#11718883C2211yescharacteristic
73#11718883C2211yescharacteristic, complemented
74#11718881C2211yescharacteristic
75#11718881C2211yescharacteristic, complemented
76#11718874C2211yescharacteristic
77#11718871C2211yescharacteristic, complemented
78C4×C22⋊Dic13C2211yescharacteristic, complemented
79#11718651C2211yescharacteristic, complemented
80#11718651C2211yescharacteristic, complemented
81#11718651C2211yescharacteristic, complemented
82#11718650C2211yescharacteristic
83#11718650C2211yescharacteristic
84#11718650C2211yescharacteristic, complemented
85#11718650C2211yescharacteristic, complemented
86#11718650C2211yescharacteristic, complemented
87#11718648C2211yescharacteristic
88#11718648C2211yescharacteristic
89#11718646C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718639C2211yescharacteristic, complemented
92#11718638C2211yescharacteristic, complemented
93#11718638C2211yescharacteristic, complemented
94#11718633C2211yescharacteristic, complemented
95#11718622C2211yescharacteristic
96#11718622C2211yescharacteristic
97#11718620C2211yescharacteristic
98#11718620C2211yescharacteristic, complemented
99#11718619C2211yescharacteristic
100#11718619C2211yescharacteristic, complemented
101#11718618C2211yescharacteristic, complemented
102#11718618C2211yescharacteristic, complemented
103#11718617C2211yescharacteristic
104#11718617C2211yescharacteristic
105#11718617C2211yescharacteristic
106#11718617C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic, complemented
112#11718617C2211yescharacteristic, complemented
113#11718616C2211yescharacteristic
114#11718616C2211yescharacteristic
115#11718616C2211yescharacteristic
116#11718616C2211yescharacteristic
117#11718614C2211yescharacteristic, complemented
118#11718614C2211yescharacteristic, complemented
119#11718613C2211yescharacteristic, complemented
120#11718613C2211yescharacteristic, complemented
121#11718612C2211yescharacteristic, complemented
122#11718612C2211yescharacteristic, complemented
123#11718612C2211yescharacteristic, complemented
124#11718612C2211yescharacteristic, complemented
125#11718612C2211yescharacteristic, complemented
126#11718610C2211yescharacteristic, complemented
127#11718609C2211yescharacteristic, complemented
128#11718609C2211yescharacteristic, complemented
129#11718608C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic, complemented
132#11718606C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic, complemented
136#11718604C2211yescharacteristic, complemented
137#11718603C2211yescharacteristic, complemented
138C22⋊C4×Dic13C2211yescharacteristic, complemented
139C22⋊C4×Dic13C2211yescharacteristic, complemented
140C22⋊C4×Dic13C2211yescharacteristic, complemented
141#11718601C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143C4×#6103C2211yescharacteristic
144C4×#6103C2211yescharacteristic
145#11718594C2211yescharacteristic, complemented
146#11718590C2211yescharacteristic, complemented
147#11718336C2211yescharacteristic, complemented
148#11718335C2211yescharacteristic, complemented
149#11718334C2211yescharacteristic, complemented
150#11718331C2211yescharacteristic, complemented
151#11718331C2211yescharacteristic, complemented
152#11718330C2211yescharacteristic, complemented
153#11718329C2211yescharacteristic
154#11718329C2211yescharacteristic
155#11718329C2211yescharacteristic
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic, complemented
158#11718328C2211yescharacteristic
159#11718328C2211yescharacteristic, complemented
160#11718327C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic, complemented
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718325C2211yescharacteristic, complemented
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic, complemented
172D13×#95C2211yescharacteristic, complemented
173C13⋊#401C2211yescharacteristic, complemented
174#11718321C2211yescharacteristic, complemented
175#11718319C2211yescharacteristic, complemented
176#11718319C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C2×D4×D13—24no—
201C2×D4×D13—42no—
202C2×D4×D13—42no—
203C22×D52C2311yescharacteristic
204C22×C4×D13—24no—
205C22×C4×D13—42no—
206C22×C4×D13—42no—
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×Dic26C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255#88192—42no—
256#88191—24no—
257#88191—24no—
258#88190—42no—
259D4×Dic13—42no—
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309#88152—42no—
310#88151—42no—
311#88150—24no—
312#88148—42no—
313#88138—42no—
314#88137—42no—
315#88137—42no—
316#88135—24no—
317#88135—42no—
318C22⋊C4×D13—24no—
319C22⋊C4×D13—24no—
320C22⋊C4×D13—24no—
321C22⋊C4×D13—42no—
322C22⋊C4×D13—42no—
323C42×D13—42no—
324C42×D13—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#34998—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—22no—
379C23×D13—22no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13#4114yes—
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13—41no—
396C2×D4×C13—41no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C22×C4×C13—22no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—41no—
433C22×Dic13—41no—
434C22×Dic13—41no—
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448D4×D13—416no—
449C2×D52—22no—
450C2×D52—22no—
451C2×D52—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—416no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13#4114yes—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C42×C13—41no—
509C42×C13—41no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—22no—
539#6103—22no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103#4114yes—
548C4⋊Dic13—22no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553C4⋊Dic13—41no—
554#6101—22no—
555#6101—22no—
556#6101—22no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565C4×Dic13—22no—
566C4×Dic13—22no—
567C4×Dic13—22no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2854—131no—
575#2853—131no—
576#2852—131no—
577#2850—131no—
578#2653—131no—
579#2649—131no—
580#2648—131no—
581#2648D1311yescharacteristic, complemented
582#2518—131no—
583#2518—131no—
584#2510—131no—
585#2510—131no—
586#2505—131no—
587#2488—131no—
588#2480—131no—
589#2472—131no—
590#2467—131no—
591#2459—131no—
592#2444—131no—
593#2437—131no—
594#2425—131no—
595#2412—131no—
596#2410—131no—
597#2405—131no—
598#2329—131no—
599#2321—131no—
600#2318—131no—
601#2312—131no—
602C4×#120—131no—
603C2×#386—131no—
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13C2×#4112yes—
626C23×C13C2511yescharacteristic
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—28no—
636C22×D13—28no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13—44no—
652C22×D13—82no—
653C22×D13—82no—
654C22×D13—82no—
655C22×D13—82no—
656C22×D13C2×#4112yes—
657C22×D13C2×#4112yes—
658C22×D13C2×#4112yes—
659C22×D13C2×#4112yes—
660C22×D13H(5,𝔽2)12yes—
661C22×D13H(5,𝔽2)12yes—
662D4×C13—44no—
663D4×C13—44no—
664D4×C13—82no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—44no—
700C2×C4×C13C2×#4112yes—
701C2×C4×C13C2×#4112yes—
702C22⋊D13—44no—
703C22⋊D13—44no—
704C22⋊D13—44no—
705C22⋊D13—44no—
706C22⋊D13—82no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—44no—
744C2×Dic13—82no—
745C2×Dic13C2×#4112yes—
746C2×Dic13C2×#4112yes—
747C2×Dic13H(5,𝔽2)12yes—
748D52—44no—
749C4×D13—28no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758C4×D13—82no—
759C4×D13—82no—
760Dic26—82no—
761C23×D4—131no—
762C24×C4—131no—
763C2×#126—131no—
764C2×#124—131no—
765C2×#123—131no—
766C2×#123—131no—
767C2×#123—131no—
768C2×C22⋊Q8—131no—
769C2×C22⋊Q8—131no—
770C2×#121—131no—
771C2×#121—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C22×C22⋊C4—131no—
778C22×C22⋊C4—131no—
779C22×C22⋊C4—131no—
780C22×C22⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C42—131no—
783C22×C42—131no—
784#401—131no—
785#400—131no—
786#400—131no—
787#400—131no—
788#400C2×D1311yescharacteristic, complemented
789#399—131no—
790#398—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#397—131no—
796#397—131no—
797#397C2×D1311yescharacteristic, complemented
798#397C2×D1311yescharacteristic, complemented
799#396—131no—
800#396—131no—
801#396C2×D1311yescharacteristic, complemented
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#394—131no—
808#394—131no—
809#394C2×D1311yescharacteristic
810#394C2×D1311yescharacteristic, complemented
811#394C2×D1311yescharacteristic, complemented
812#393—131no—
813#393—131no—
814#392—131no—
815#392C2×D1311yescharacteristic
816#391—131no—
817#391—131no—
818#390—131no—
819#390—131no—
820#390C2×D1311yescharacteristic, complemented
821#389—131no—
822#389—131no—
823#389—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#388C2×D1311yescharacteristic, complemented
844#388C2×D1311yescharacteristic, complemented
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387C2×D1311yescharacteristic, complemented
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386C2×D1311yescharacteristic
874#386C2×D1311yescharacteristic, complemented
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385—131no—
886#383—131no—
887#383—131no—
888#382—131no—
889#382—131no—
890#381—131no—
891#381—131no—
892#380—131no—
893#380—131no—
894#380—131no—
895#380—131no—
896#380—131no—
897#379—131no—
898#379—131no—
899#379—131no—
900#379—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C4×C22⋊C4—131no—
911C4×C22⋊C4C2×D1311yescharacteristic, complemented
912C2×#95—131no—
913C2×#95—131no—
914C2×#95—131no—
915C2×#95—131no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
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×C13C22×#4111yescharacteristic
938C22×C13C22×#4111yescharacteristic
939C22×C13C22×#4111yescharacteristic
940C22×C13C2×H(5,𝔽2)11yescharacteristic
941C22×C13C2×H(5,𝔽2)11yescharacteristic
942C22×C13C2×H(5,𝔽2)11yescharacteristic
943C22×C13#58511yescharacteristic
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—22no—
949C2×D13—22no—
950C2×D13—22no—
951C2×D13—22no—
952C2×D13—22no—
953C2×D13—22no—
954C2×D13—22no—
955C2×D13—22no—
956C2×D13—416no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13—41no—
962C2×D13—41no—
963C2×D13—41no—
964C2×D13—88no—
965C2×D13#52914yes—
966C2×D13#53814yes—
967C4×C13—22no—
968C4×C13—22no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977C4×C13—41no—
978C4×C13—41no—
979Dic13—22no—
980Dic13—22no—
981Dic13—22no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988Dic13—41no—
989Dic13—41no—
990Dic13—41no—
991Dic13—41no—
992C25—131no—
993C25—131no—
994C22×Q8—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—264no—
1002C22×D4—522no—
1003C22×D4—522no—
1004C22×D4C22×D1311yescharacteristic
1005C22×D4C22×D1311yescharacteristic
1006C22×D4C22×D1311yescharacteristic
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—131no—
1016C23×C4—131no—
1017C23×C4—131no—
1018C23×C4—131no—
1019C23×C4—131no—
1020C23×C4—264no—
1021C23×C4—522no—
1022C23×C4—522no—
1023C23×C4C22×D1311yescharacteristic
1024#126—522no—
1025#124—522no—
1026#123—522no—
1027#123—522no—
1028#123—522no—
1029C22⋊Q8—264no—
1030C22⋊Q8—522no—
1031#121—522no—
1032#121—522no—
1033#120—264no—
1034#120—264no—
1035C4×D4—264no—
1036C4×D4—522no—
1037C4×D4—522no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—264no—
1099C2×C22⋊C4—264no—
1100C2×C22⋊C4—264no—
1101C2×C22⋊C4—522no—
1102C2×C22⋊C4—522no—
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—131no—
1125C2×C42—131no—
1126C2×C42—522no—
1127C2×C42—522no—
1128C2×C42C22×D1311yescharacteristic
1129C2×C42C22×D1311yescharacteristic
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173#95C22×D1311yescharacteristic
1174C2×C13—42no—
1175C2×C13—81no—
1176C2×C13—81no—
1177C2×C13C2×#52911yescharacteristic
1178C2×C13C2×#53811yescharacteristic
1179C2×C13#345911yescharacteristic
1180C2×C13#349011yescharacteristic
1181C2×C13#349411yescharacteristic
1182C2×C13#351311yescharacteristic
1183C2×C13#351911yescharacteristic
1184D13—24no—
1185D13—24no—
1186D13—81no—
1187C24—131no—
1188C24—131no—
1189C24—134no—
1190C24—131no—
1191C24—262no—
1192C24—262no—
1193C24—262no—
1194C24—262no—
1195C24—262no—
1196C24—262no—
1197C24—262no—
1198C24—521no—
1199C24—521no—
1200C24—521no—
1201C24—521no—
1202C24—521no—
1203C24—521no—
1204C24C23×D1311yescharacteristic
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C2×Q8—262no—
1208C2×Q8—521no—
1209C2×Q8—521no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—262no—
1228C2×D4—262no—
1229C2×D4—262no—
1230C2×D4—262no—
1231C2×D4—262no—
1232C2×D4—262no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—5216no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—134no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—5216no—
1291C22×C4—521no—
1292C22×C4—521no—
1293C22×C4—521no—
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
1303C22×C4C23×D1311yescharacteristic
1304C22×C4C23×D1311yescharacteristic
1305C22×C4C23×D1311yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—262no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
1314C4⋊C4—262no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
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—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—134no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—262no—
1357C22⋊C4—262no—
1358C22⋊C4—262no—
1359C22⋊C4—262no—
1360C22⋊C4—262no—
1361C22⋊C4—262no—
1362C22⋊C4—262no—
1363C22⋊C4—262no—
1364C22⋊C4—262no—
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—
1380C42—41no—
1381C42—41no—
1382C42—262no—
1383C42—262no—
1384C42—262no—
1385C42—521no—
1386C42—521no—
1387C42—521no—
1388C42—521no—
1389C42—521no—
1390C42—521no—
1391C13#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
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—132no—
1413C23—132no—
1414C23—132no—
1415C23—132no—
1416C23—132no—
1417C23—132no—
1418C23—268no—
1419C23—268no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23—261no—
1432C23—261no—
1433C23—261no—
1434C23—261no—
1435C23—524no—
1436C23—524no—
1437C23—524no—
1438C23—524no—
1439C23—524no—
1440C23—524no—
1441C23—524no—
1442C23—524no—
1443C23—1042no—
1444C23—1042no—
1445C23—1042no—
1446C23—1042no—
1447C23#41×D1312yes—
1448C23C24×D1311yescharacteristic
1449Q8—1042no—
1450D4—44no—
1451D4—44no—
1452D4—82no—
1453D4—524no—
1454D4—524no—
1455D4—524no—
1456D4—524no—
1457D4—524no—
1458D4—1042no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—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—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—132no—
1495C2×C4—132no—
1496C2×C4—132no—
1497C2×C4—268no—
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—524no—
1535C2×C4—524no—
1536C2×C4—524no—
1537C2×C4—524no—
1538C2×C4—524no—
1539C2×C4—524no—
1540C2×C4—524no—
1541C2×C4—524no—
1542C2×C4—524no—
1543C2×C4—1042no—
1544C2×C4—1042no—
1545C2×C4—1042no—
1546C2×C4#41×D1312yes—
1547C2×C4#41×D1312yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—41no—
1552C22—41no—
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—134no—
1570C22—134no—
1571C22—262no—
1572C22—262no—
1573C22—262no—
1574C22—262no—
1575C22—262no—
1576C22—262no—
1577C22—262no—
1578C22—262no—
1579C22—262no—
1580C22—262no—
1581C22—262no—
1582C22—262no—
1583C22—5216no—
1584C22—521no—
1585C22—521no—
1586C22—521no—
1587C22—521no—
1588C22—521no—
1589C22—521no—
1590C22—521no—
1591C22—1048no—
1592C22C2×#41×D1311yescharacteristic
1593C22C2×#41×D1311yescharacteristic
1594C22C2×#41×D1311yescharacteristic
1595C22D13×H(5,𝔽2)11yescharacteristic
1596C22D13×H(5,𝔽2)11yescharacteristic
1597C22D13×H(5,𝔽2)11yescharacteristic
1598C22#1171965011yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—262no—
1612C4—262no—
1613C4—262no—
1614C4—521no—
1615C4—521no—
1616C4—521no—
1617C4—521no—
1618C4—521no—
1619C4—521no—
1620C4—521no—
1621C4—521no—
1622C4—521no—
1623C4—521no—
1624C2—42no—
1625C2—81no—
1626C2—81no—
1627C2—264no—
1628C2—264no—
1629C2—1041no—
1630C2D13×#52911yescharacteristic
1631C2D13×#53811yescharacteristic
1632C2#1312824711yescharacteristic
1633C2#1312852211yescharacteristic
1634C2#1312856311yescharacteristic
1635C2#1312877411yescharacteristic
1636C2#1312886011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2648C2
prime radical#13118203C2
hypercenter#2648D13
hypocenterC13#34998
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #13123163C2semidirect
2. #13123156C2semidirect
3. #13123154C2semidirect
4. #13123136C2semidirect
5. #13120893C2semidirect
6. #13120839C2semidirect
7. #13120824C2semidirect
8. #13119497C2semidirect
9. #13119489C2semidirect
10. #13119399C2semidirect
11. #13119389C2semidirect
12. #13119340C2semidirect
13. #13119163C2semidirect
14. #13119083C2semidirect
15. #13118957C2semidirect
16. #13118880C2semidirect
17. #13118768C2semidirect
18. #13118581C2semidirect
19. #13118498C2semidirect
20. #13118388C2semidirect
21. #13118227C2semidirect
23. #13118158C2semidirect
24. #13117563C2semidirect
25. #13117495C2semidirect
26. #13117466C2semidirect
27. #13117430C2semidirect
28. #13117341C2semidirect
29. D13×#386C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2648C2semidirect
37. C2×#88190C22semidirect
38. C2×D4×Dic13C22semidirect
39. C2×#88152C22semidirect
40. C2×#88151C22semidirect
45. C2×#88137C22semidirect
47. C2×#88135C22semidirect
53. C2×C42×D13C22semidirect
54. C2×C42×D13C22semidirect
55. C13×#400C22semidirect
56. C13×#397C22semidirect
57. C13×#397C22semidirect
58. C13×#396C22semidirect
60. C13×#394C22semidirect
61. C13×#394C22semidirect
63. C13×#390C22semidirect
64. C13×#388C22semidirect
65. C13×#388C22semidirect
66. C13×#387C22semidirect
68. C13×#386C22semidirect
69. C4×C13×C22⋊C4C22semidirect
73. #11718883C22semidirect
75. #11718881C22semidirect
77. #11718871C22semidirect
78. C4×C22⋊Dic13C22semidirect
79. #11718651C22semidirect
80. #11718651C22semidirect
81. #11718651C22semidirect
84. #11718650C22semidirect
85. #11718650C22semidirect
86. #11718650C22semidirect
89. #11718646C22semidirect
90. #11718642C22semidirect
91. #11718639C22semidirect
92. #11718638C22semidirect
93. #11718638C22semidirect
94. #11718633C22semidirect
98. #11718620C22semidirect
100. #11718619C22semidirect
101. #11718618C22semidirect
102. #11718618C22semidirect
111. #11718617C22semidirect
112. #11718617C22semidirect
117. #11718614C22semidirect
118. #11718614C22semidirect
119. #11718613C22semidirect
120. #11718613C22semidirect
121. #11718612C22semidirect
122. #11718612C22semidirect
123. #11718612C22semidirect
124. #11718612C22semidirect
125. #11718612C22semidirect
126. #11718610C22semidirect
127. #11718609C22semidirect
128. #11718609C22semidirect
129. #11718608C22semidirect
130. #11718606C22semidirect
131. #11718606C22semidirect
132. #11718606C22semidirect
133. #11718605C22semidirect
134. #11718605C22semidirect
135. #11718605C22semidirect
136. #11718604C22semidirect
137. #11718603C22semidirect
138. C22⋊C4×Dic13C22semidirect
139. C22⋊C4×Dic13C22semidirect
140. C22⋊C4×Dic13C22semidirect
141. #11718601C22semidirect
142. #11718601C22semidirect
145. #11718594C22semidirect
146. #11718590C22semidirect
147. #11718336C22semidirect
148. #11718335C22semidirect
149. #11718334C22semidirect
150. #11718331C22semidirect
151. #11718331C22semidirect
152. #11718330C22semidirect
157. #11718329C22semidirect
159. #11718328C22semidirect
163. #11718327C22semidirect
168. #11718325C22semidirect
171. D13×#95C22semidirect
172. D13×#95C22semidirect
173. C13⋊#401C22semidirect
174. #11718321C22semidirect
175. #11718319C22semidirect
176. #11718319C22semidirect
177. #11718318C22semidirect
178. #11718316C22semidirect
179. #11718316C22semidirect
180. #11718314C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718312C22semidirect
184. #11718312C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
581. #2648D13semidirect
788. #400C2×D13semidirect
797. #397C2×D13semidirect
798. #397C2×D13semidirect
801. #396C2×D13semidirect
810. #394C2×D13semidirect
811. #394C2×D13semidirect
820. #390C2×D13semidirect
843. #388C2×D13semidirect
844. #388C2×D13semidirect
853. #387C2×D13semidirect
874. #386C2×D13semidirect
911. C4×C22⋊C4C2×D13semidirect
1391. C13#34998semidirect

Maximal subgroups

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

subgroupindex
#131231632
#131231562
#131231542
#131231362
#131208932
#131208392
#131208242
#131194972
#131194892
#131193992
#131193892
#131193402
#131191632
#131190832
#131189572
#131188802
#131187682
#131185812
#131184982
#131183882
#131182272
#131182032
#131181582
#131175632
#131174952
#131174662
#131174302
#131173412
D13×#3862
C4×C22⋊C4×D132
C13×#26482
#3499813