Finite Group Databasebeta

← #16026608

Subgroups — #16026608

Order 3328.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719409C211yesmaximal, characteristic
2#13118009C211yesmaximal, characteristic, complemented
3#13118007C211yesmaximal, characteristic, complemented
4#13117983C211yesmaximal, characteristic, complemented
5#13117978C211yesmaximal, characteristic, complemented
6#13117907C211yesmaximal, characteristic, complemented
7#13117902C211yesmaximal, characteristic, complemented
8#13117829C211yesmaximal, characteristic, complemented
9#13117823C211yesmaximal, characteristic, complemented
10#13117818C211yesmaximal, characteristic, complemented
11#13117814C211yesmaximal, characteristic, complemented
12#13117814C211yesmaximal, characteristic, complemented
13#13117812C211yesmaximal, characteristic, complemented
14#13117762C211yesmaximal, characteristic, complemented
15#13117760C211yesmaximal, characteristic, complemented
16#13117747C211yesmaximal, characteristic, complemented
17#13117745C211yesmaximal, characteristic, complemented
18#13117615C211yesmaximal, characteristic, complemented
19#13117614C211yesmaximal, characteristic, complemented
20#13117605C211yesmaximal, characteristic, complemented
21#13117570C211yesmaximal, characteristic, complemented
22#13117540C211yesmaximal, characteristic, complemented
23#13117535C211yesmaximal, characteristic, complemented
24#13117535C211yesmaximal, characteristic, complemented
25#13117528C211yesmaximal, characteristic, complemented
26#13117527C211yesmaximal, characteristic, complemented
27#13117447C211yesmaximal, characteristic, complemented
28#13117370C211yesmaximal, characteristic, complemented
29C4×#88149C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2334C211yesmaximal, characteristic, complemented
32C2×C13×#126C2211yescharacteristic
33C2×C4×C22⋊D13C2211yescharacteristic
34C22×#6103C2211yescharacteristic
35#11719409C4116yescomplemented
36C2×#88152C2211yescharacteristic
37C2×#88150C2211yescharacteristic
38C2×#88149C2211yescharacteristic
39C2×#88149C2211yescharacteristic
40C2×#88148C2211yescharacteristic
41C2×#88147C2211yescharacteristic
42C2×#88147C2211yescharacteristic
43C2×#88147C2211yescharacteristic
44C2×#88147C2211yescharacteristic
45C2×#88146C2211yescharacteristic, complemented
46C2×C4⋊C4×D13C2211yescharacteristic
47C2×#88141C2211yescharacteristic, complemented
48C2×#88139C2211yescharacteristic
49C2×#88138C2211yescharacteristic
50C2×#88137C2211yescharacteristic
51C2×#88136C2211yescharacteristic
52C2×#88136C2211yescharacteristic
53C2×#88135C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×#88129C2211yescharacteristic
59C2×C4×D52C2211yescharacteristic
60C2×C4×D52C2211yescharacteristic
61C2×C4×D52C2211yescharacteristic
62C2×C4×D52C2211yescharacteristic
63C2×C4×D52C2211yescharacteristic, complemented
64C2×#88126C2211yescharacteristic, complemented
65C2×C42×D13C2211yescharacteristic
66C13×#389C2211yescharacteristic, complemented
67C13×#389C2211yescharacteristic, complemented
68C13×#388C2211yescharacteristic
69C13×#388C2211yescharacteristic
70C13×#388C2211yescharacteristic
71C13×#387C2211yescharacteristic, complemented
72C13×#387C2211yescharacteristic, complemented
73C13×#387C2211yescharacteristic, complemented
74C13×#385C2211yescharacteristic
75C13×#385C2211yescharacteristic
76C13×#382C2211yescharacteristic, complemented
77C4×C13×C4⋊C4C2211yescharacteristic, complemented
78C4×C13×C4⋊C4C2211yescharacteristic, complemented
79C4×C13×C22⋊C4C2211yescharacteristic
80#11718874C2211yescharacteristic
81#11718871C2211yescharacteristic
82#11718651C2211yescharacteristic
83#11718651C2211yescharacteristic
84#11718651C2211yescharacteristic, complemented
85#11718650C2211yescharacteristic
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic, complemented
91#11718650C2211yescharacteristic, complemented
92#11718650C2211yescharacteristic, complemented
93#11718650C2211yescharacteristic, complemented
94#11718649C2211yescharacteristic
95#11718649C2211yescharacteristic, complemented
96#11718648C2211yescharacteristic
97#11718648C2211yescharacteristic
98#11718648C2211yescharacteristic, complemented
99#11718648C2211yescharacteristic, complemented
100#11718646C2211yescharacteristic, complemented
101#11718646C2211yescharacteristic, complemented
102#11718642C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718642C2211yescharacteristic, complemented
105#11718639C2211yescharacteristic, complemented
106#11718638C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108#11718635C2211yescharacteristic, complemented
109#11718633C2211yescharacteristic, complemented
110#11718619C2211yescharacteristic
111#11718618C2211yescharacteristic
112#11718618C2211yescharacteristic
113#11718617C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718612C2211yescharacteristic
116#11718612C2211yescharacteristic
117#11718612C2211yescharacteristic
118#11718611C2211yescharacteristic
119#11718611C2211yescharacteristic
120#11718607C2211yescharacteristic
121#11718606C2211yescharacteristic
122#11718605C2211yescharacteristic
123C22⋊C4×Dic13C2211yescharacteristic
124#11718601C2211yescharacteristic
125#11718601C2211yescharacteristic
126#11718601C2211yescharacteristic, complemented
127#11718600C2211yescharacteristic
128C4×#6103C2211yescharacteristic
129C4×#6103C2211yescharacteristic
130C4×#6103C2211yescharacteristic
131C4×#6103C2211yescharacteristic, complemented
132C4×#6103C2211yescharacteristic, complemented
133#11718597C2211yescharacteristic, complemented
134C4×C4⋊Dic13C2211yescharacteristic, complemented
135#11718594C2211yescharacteristic, complemented
136#11718594C2211yescharacteristic, complemented
137C4×#6101C2211yescharacteristic, complemented
138#11718589C2211yescharacteristic, complemented
139#11718589C2211yescharacteristic, complemented
140#11718331C2211yescharacteristic
141#11718331C2211yescharacteristic
142#11718331C2211yescharacteristic, complemented
143#11718331C2211yescharacteristic, complemented
144#11718331C2211yescharacteristic, complemented
145#11718330C2211yescharacteristic
146#11718330C2211yescharacteristic
147#11718330C2211yescharacteristic, complemented
148#11718330C2211yescharacteristic, complemented
149#11718330C2211yescharacteristic, complemented
150#11718329C2211yescharacteristic
151#11718329C2211yescharacteristic
152#11718329C2211yescharacteristic
153#11718329C2211yescharacteristic
154#11718329C2211yescharacteristic
155#11718329C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic, complemented
157#11718328C2211yescharacteristic
158#11718328C2211yescharacteristic
159#11718328C2211yescharacteristic, complemented
160#11718328C2211yescharacteristic, complemented
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic, complemented
177D13×#95C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C22×C22⋊D13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C23×Dic13C2311yescharacteristic
193C22×D52C2311yescharacteristic
194C22×D52C2311yescharacteristic
195C22×D52C2311yescharacteristic
196C22×D52C2311yescharacteristic
197C22×D52C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C22×C4×D13C2311yescharacteristic
200C22×C4×D13C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#126C2×C418yescomplemented
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
231C2×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C4×C22⋊D13—42no—
241C2×#6103—42no—
242C2×#6103C2311yescharacteristic
243C2×#6103C2311yescharacteristic
244C2×#6103C2311yescharacteristic
245C2×#6103C2311yescharacteristic
246C2×#6103C2311yescharacteristic
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×C4×Dic13C2311yescharacteristic
295C2×C4×Dic13C2311yescharacteristic
296C2×C4×Dic13C2311yescharacteristic
297C2×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306#88152C2×C418yescomplemented
307#88150C2×C418yescomplemented
308#88149C2×C418yescomplemented
309#88149C2×C418yescomplemented
310#88148C2×C418yescomplemented
311#88147—42no—
312#88147—42no—
313#88147—42no—
314#88147C2×C418yescomplemented
315#88146—42no—
316C4⋊C4×D13—42no—
317#88141—42no—
318#88139C2×C418yescomplemented
319#88138C2×C418yescomplemented
320#88137C2×C418yescomplemented
321#88136C2×C418yescomplemented
322#88136C2×C418yescomplemented
323#88135—42no—
324C22⋊C4×D13—42no—
325C22⋊C4×D13—42no—
326C22⋊C4×D13—42no—
327C22⋊C4×D13C2×C418yescomplemented
328#88129C2×C418yescomplemented
329C4×D52—42no—
330C4×D52—42no—
331C4×D52—42no—
332C4×D52—42no—
333C4×D52C2×C418yescomplemented
334#88126—42no—
335C42×D13—42no—
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#34424—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C23×D13—22no—
379C23×D13—22no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13C22×C414yes—
385C23×D13C2411yescharacteristic
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C22×C4×C13—41no—
390C22×C4×C13—41no—
391C22×C4×C13—41no—
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C2×C22⋊D13—41no—
407C2×C22⋊D13—41no—
408C2×C22⋊D13—41no—
409C2×C22⋊D13—41no—
410C2×C22⋊D13C22×C414yes—
411C2×C22⋊D13C22×C414yes—
412C22×Dic13—41no—
413C22×Dic13—41no—
414C22×Dic13—41no—
415C22×Dic13C2411yescharacteristic
416C22×Dic13C2411yescharacteristic
417C22×Dic13C2411yescharacteristic
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C22×Dic13C2411yescharacteristic
421C22×Dic13C2411yescharacteristic
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C2×D52—22no—
428C2×D52—22no—
429C2×D52—22no—
430C2×D52—22no—
431C2×D52—41no—
432C2×D52—41no—
433C2×D52—41no—
434C2×D52—41no—
435C2×D52—41no—
436C2×D52—41no—
437C2×D52C22×C414yes—
438C2×D52C22×C414yes—
439C2×D52C22×C414yes—
440C2×D52C22×C414yes—
441C2×D52C22×C414yes—
442C2×C4×D13—22no—
443C2×C4×D13—22no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
446C2×C4×D13—22no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—41no—
451C2×C4×D13—41no—
452C2×C4×D13—41no—
453C2×C4×D13—41no—
454C2×C4×D13—41no—
455C2×C4×D13—41no—
456C2×C4×D13—41no—
457C2×C4×D13—41no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
462C2×C4×D13—41no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
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×D13C22×C414yes—
481C2×C4×D13C22×C414yes—
482C2×C4×D13C22×C414yes—
483C2×C4×D13C22×C414yes—
484C2×Dic26—41no—
485C2×Dic26—41no—
486C2×Dic26C22×C414yes—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4C22×C414yes—
495C13×C4⋊C4C22×C414yes—
496C13×C4⋊C4C22×C414yes—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4C22×C414yes—
501C13×C22⋊C4C22×C414yes—
502C13×C22⋊C4C22×C414yes—
503C42×C13—22no—
504C42×C13—41no—
505C42×C13—41no—
506C42×C13—41no—
507C42×C13—41no—
508C42×C13C22×C414yes—
509C22⋊Dic13—22no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13C22×C414yes—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—41no—
522#6103—41no—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103C22×C414yes—
536#6103C22×C414yes—
537#6103C22×C414yes—
538#6103C22×C414yes—
539#6103C22×C414yes—
540#6103C22×C414yes—
541#6103C22×C414yes—
542#6103C22×C414yes—
543#6103C22×C414yes—
544#6103C22×C414yes—
545C4⋊Dic13—22no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548C4⋊Dic13—41no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13C22×C414yes—
553#6101—22no—
554#6101—22no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101C22×C414yes—
564#6101C22×C414yes—
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—
574C4×Dic13—41no—
575C4×Dic13—41no—
576C4×Dic13C22×C414yes—
577C2×#538—131no—
578#2379—131no—
579#2379—131no—
580#2376—131no—
581#2376—131no—
582#2367—131no—
583#2367—131no—
584#2359—131no—
585#2359—131no—
586#2358—131no—
587#2358—131no—
588#2358—131no—
589#2358—131no—
590#2352—131no—
591#2352—131no—
592#2349—131no—
593#2349—131no—
594#2334—131no—
595#2334—131no—
596#2334—131no—
597#2334D1311yescharacteristic, complemented
598#2329—131no—
599#2325—131no—
600#2325—131no—
601#2325—131no—
602#2324—131no—
603#2324—131no—
604#2315—131no—
605C4×C22⋊Q8—131no—
606C4×#121—131no—
607C2×#388—131no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13C23×C412yes—
615C23×C13C2511yescharacteristic
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
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—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—28no—
639C22×D13—44no—
640C22×D13—44no—
641C22×D13—82no—
642C22×D13—82no—
643C22×D13—82no—
644C22×D13—82no—
645C22×D13C23×C412yes—
646C22×D13C23×C412yes—
647C22×D13C23×C412yes—
648C22×D13C23×C412yes—
649C22×D13H(5,𝔽2)12yes—
650C22×D132−1+412yes—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
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—82no—
687C2×C4×C13C23×C412yes—
688C2×C4×C13C23×C412yes—
689C2×C4×C13C23×C412yes—
690C2×C4×C13C23×C412yes—
691C2×C4×C13C23×C412yes—
692C2×C4×C13C23×C412yes—
693C2×C4×C13H(5,𝔽2)12yes—
694C22⋊D13—44no—
695C22⋊D13—44no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
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—82no—
728C2×Dic13C23×C412yes—
729C2×Dic13C23×C412yes—
730C2×Dic13C23×C412yes—
731C2×Dic13C23×C412yes—
732C2×Dic13H(5,𝔽2)12yes—
733D52—28no—
734D52—28no—
735D52—44no—
736D52—44no—
737D52—44no—
738C4×D13—44no—
739C4×D13—44no—
740C4×D13—44no—
741C4×D13—44no—
742C4×D13—44no—
743C4×D13—44no—
744C4×D13—82no—
745C4×D13—82no—
746C4×D13—82no—
747C4×D13—82no—
748C4×D13—82no—
749C4×D13—82no—
750C4×D13—82no—
751C4×D13—82no—
752Dic26—44no—
753#538—1316no—
754C2×#126—131no—
755C2×#126C2×D1311yescharacteristic
756C2×#124—131no—
757C2×#124—131no—
758C2×#123—131no—
759C2×#123—131no—
760C2×C22⋊Q8—131no—
761C2×#121—131no—
762C2×#121—131no—
763C2×#121—131no—
764C2×#120—131no—
765C2×#120—131no—
766C2×C4×Q8—131no—
767C2×C4×D4—131no—
768C2×C4×D4—131no—
769C2×C4×D4—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C2×C4×D4—131no—
778C2×#117—131no—
779C2×#117—131no—
780C22×C4⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C22⋊C4—131no—
783C22×C22⋊C4—131no—
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786C22×C42—131no—
787#391—131no—
788#391—131no—
789#391—131no—
790#390—131no—
791#390—131no—
792#390—131no—
793#390—131no—
794#390—131no—
795#389—131no—
796#389—131no—
797#389—131no—
798#389—131no—
799#389—131no—
800#389—131no—
801#389C2×D1311yescharacteristic, complemented
802#389C2×D1311yescharacteristic, complemented
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388—131no—
816#388—131no—
817#388—131no—
818#388—131no—
819#388—131no—
820#388—131no—
821#388—131no—
822#388—131no—
823#388—131no—
824#388C2×D1311yescharacteristic
825#388C2×D1311yescharacteristic
826#388C2×D1311yescharacteristic
827#387—131no—
828#387—131no—
829#387—131no—
830#387—131no—
831#387—131no—
832#387—131no—
833#387—131no—
834#387—131no—
835#387—131no—
836#387C2×D1311yescharacteristic, complemented
837#387C2×D1311yescharacteristic, complemented
838#387C2×D1311yescharacteristic, complemented
839#386—131no—
840#386—131no—
841#386—131no—
842#386—131no—
843#386—131no—
844#386—131no—
845#386—131no—
846#386—131no—
847#386—131no—
848#386—131no—
849#386—131no—
850#386—131no—
851#386—131no—
852#386—131no—
853#385—131no—
854#385—131no—
855#385—131no—
856#385—131no—
857#385—131no—
858#385—131no—
859#385—131no—
860#385—131no—
861#385—131no—
862#385—131no—
863#385—131no—
864#385—131no—
865#385—131no—
866#385—131no—
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385—131no—
873#385C2×D1311yescharacteristic
874#385C2×D1311yescharacteristic
875#382—131no—
876#382—131no—
877#382—131no—
878#382C2×D1311yescharacteristic, complemented
879#380—131no—
880#380—131no—
881#380—131no—
882#380—131no—
883#380—131no—
884#380—131no—
885#380—131no—
886#380—131no—
887C4×C4⋊C4—131no—
888C4×C4⋊C4—131no—
889C4×C4⋊C4—131no—
890C4×C4⋊C4—131no—
891C4×C4⋊C4—131no—
892C4×C4⋊C4—131no—
893C4×C4⋊C4C2×D1311yescharacteristic, complemented
894C4×C4⋊C4C2×D1311yescharacteristic, complemented
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4C2×D1311yescharacteristic
905C2×#95—131no—
906C2×#95—131no—
907C2×#95—131no—
908C2×#95—131no—
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—41no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13C24×C411yescharacteristic
917C22×C13C2×H(5,𝔽2)11yescharacteristic
918C22×C13C2×H(5,𝔽2)11yescharacteristic
919C22×C13C2×H(5,𝔽2)11yescharacteristic
920C22×C13C2×2−1+411yescharacteristic
921C22×C13#58511yescharacteristic
922C22×C13#58511yescharacteristic
923C2×D13—22no—
924C2×D13—22no—
925C2×D13—22no—
926C2×D13—22no—
927C2×D13—22no—
928C2×D13—22no—
929C2×D13—22no—
930C2×D13—22no—
931C2×D13—22no—
932C2×D13—22no—
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—41no—
939C2×D13—41no—
940C2×D13—41no—
941C2×D13—41no—
942C2×D13—41no—
943C2×D13—41no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—88no—
951C2×D13#52014yes—
952C4×C13—22no—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—22no—
957C4×C13—22no—
958C4×C13—22no—
959C4×C13—41no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966Dic13—22no—
967Dic13—22no—
968Dic13—22no—
969Dic13—22no—
970Dic13—22no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978C25—131no—
979C22×Q8—131no—
980C22×D4—131no—
981C22×D4—131no—
982C22×D4—131no—
983C22×D4—131no—
984C22×D4—131no—
985C22×D4—131no—
986C22×D4—131no—
987C23×C4—131no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4C22×D1311yescharacteristic
1003#126—138no—
1004#126C4×D1318yescomplemented
1005#124—138no—
1006#124—138no—
1007#123—138no—
1008#123—138no—
1009C22⋊Q8—138no—
1010#121—138no—
1011#121—138no—
1012#121—138no—
1013#120—138no—
1014#120—138no—
1015C4×Q8—522no—
1016C4×D4—138no—
1017C4×D4—138no—
1018C4×D4—522no—
1019C4×D4—522no—
1020C4×D4—522no—
1021C4×D4—522no—
1022C4×D4—522no—
1023C4×D4—522no—
1024C4×D4—522no—
1025C4×D4—522no—
1026C4×D4—522no—
1027#117—522no—
1028#117—522no—
1029C2×C4⋊C4—131no—
1030C2×C4⋊C4—131no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
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—522no—
1050C2×C4⋊C4C22×D1311yescharacteristic
1051C2×C4⋊C4C22×D1311yescharacteristic
1052C2×C4⋊C4C22×D1311yescharacteristic
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
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—138no—
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—522no—
1098C2×C22⋊C4—522no—
1099C2×C22⋊C4—522no—
1100C2×C22⋊C4—522no—
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C42—131no—
1108C2×C42—131no—
1109C2×C42—131no—
1110C2×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—522no—
1120C2×C42C22×D1311yescharacteristic
1121C2×C42C22×D1311yescharacteristic
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
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#95C22×D1311yescharacteristic
1155#95C22×D1311yescharacteristic
1156#95C22×D1311yescharacteristic
1157#95C22×D1311yescharacteristic
1158#95C22×D1311yescharacteristic
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166C2×C13—42no—
1167C2×C13C2×#52011yescharacteristic
1168C2×C13C4×H(5,𝔽2)11yescharacteristic
1169C2×C13C4×H(5,𝔽2)11yescharacteristic
1170C2×C13#353411yescharacteristic
1171C2×C13#353611yescharacteristic
1172C2×C13#355811yescharacteristic
1173C2×C13#356411yescharacteristic
1174D13—24no—
1175D13—42no—
1176D13—42no—
1177D13—42no—
1178C24—131no—
1179C24—131no—
1180C24—131no—
1181C24—131no—
1182C24—134no—
1183C24—262no—
1184C24—262no—
1185C24—521no—
1186C24—521no—
1187C24—521no—
1188C24—521no—
1189C24C23×D1311yescharacteristic
1190C2×Q8—134no—
1191C2×Q8—521no—
1192C2×Q8—521no—
1193C2×D4—134no—
1194C2×D4—134no—
1195C2×D4—134no—
1196C2×D4—134no—
1197C2×D4—134no—
1198C2×D4—134no—
1199C2×D4—134no—
1200C2×D4—262no—
1201C2×D4—262no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—521no—
1205C2×D4—521no—
1206C2×D4—521no—
1207C2×D4—521no—
1208C2×D4—521no—
1209C2×D4—521no—
1210C2×D4—521no—
1211C2×D4—521no—
1212C2×D4—521no—
1213C2×D4—521no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—131no—
1220C22×C4—131no—
1221C22×C4—131no—
1222C22×C4—134no—
1223C22×C4—134no—
1224C22×C4—134no—
1225C22×C4—134no—
1226C22×C4—131no—
1227C22×C4—131no—
1228C22×C4—131no—
1229C22×C4—131no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—262no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4—521no—
1248C22×C4—521no—
1249C22×C4—521no—
1250C22×C4—521no—
1251C22×C4—521no—
1252C22×C4—521no—
1253C22×C4—521no—
1254C22×C4—521no—
1255C22×C4—521no—
1256C22×C4—521no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4—521no—
1261C22×C4—521no—
1262C22×C4—521no—
1263C22×C4—521no—
1264C22×C4—521no—
1265C22×C4—521no—
1266C22×C4—521no—
1267C22×C4—521no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4C23×D1311yescharacteristic
1275C22×C4C23×D1311yescharacteristic
1276C22×C4C23×D1311yescharacteristic
1277C22×C4C23×D1311yescharacteristic
1278C22×C4C23×D1311yescharacteristic
1279C22×C4C23×D1311yescharacteristic
1280C22×C4C23×D1311yescharacteristic
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—134no—
1296C4⋊C4—134no—
1297C4⋊C4—134no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—521no—
1302C4⋊C4—521no—
1303C4⋊C4—521no—
1304C4⋊C4—521no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4C2×C4×D1314yes—
1316C4⋊C4C2×C4×D1314yes—
1317C4⋊C4C2×C4×D1314yes—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—134no—
1322C22⋊C4—134no—
1323C22⋊C4—134no—
1324C22⋊C4—134no—
1325C22⋊C4—134no—
1326C22⋊C4—134no—
1327C22⋊C4—134no—
1328C22⋊C4—134no—
1329C22⋊C4—134no—
1330C22⋊C4—134no—
1331C22⋊C4—134no—
1332C22⋊C4—262no—
1333C22⋊C4—262no—
1334C22⋊C4—262no—
1335C22⋊C4—262no—
1336C22⋊C4—262no—
1337C22⋊C4—262no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—521no—
1342C22⋊C4—521no—
1343C22⋊C4—521no—
1344C22⋊C4—521no—
1345C22⋊C4—521no—
1346C22⋊C4—521no—
1347C22⋊C4—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C22⋊C4—521no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4C2×C4×D1314yes—
1358C22⋊C4C2×C4×D1314yes—
1359C22⋊C4C2×C4×D1314yes—
1360C42—22no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—134no—
1366C42—262no—
1367C42—262no—
1368C42—262no—
1369C42—521no—
1370C42—521no—
1371C42—521no—
1372C42—521no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42C2×C4×D1314yes—
1378C13#3442411yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—132no—
1386C23—132no—
1387C23—132no—
1388C23—132no—
1389C23—132no—
1390C23—132no—
1391C23—268no—
1392C23—261no—
1393C23—261no—
1394C23—261no—
1395C23—261no—
1396C23—261no—
1397C23—261no—
1398C23—261no—
1399C23—261no—
1400C23—261no—
1401C23—261no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—524no—
1415C23—524no—
1416C23—1042no—
1417C23—1042no—
1418C23—1042no—
1419C23—1042no—
1420C23C22×C4×D1312yes—
1421C23C24×D1311yescharacteristic
1422Q8—524no—
1423D4—268no—
1424D4—268no—
1425D4—524no—
1426D4—524no—
1427D4—524no—
1428D4—524no—
1429D4—524no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—82no—
1466C2×C4—132no—
1467C2×C4—132no—
1468C2×C4—132no—
1469C2×C4—132no—
1470C2×C4—132no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—524no—
1503C2×C4—524no—
1504C2×C4—524no—
1505C2×C4—524no—
1506C2×C4—524no—
1507C2×C4—524no—
1508C2×C4—1042no—
1509C2×C4—1042no—
1510C2×C4—1042no—
1511C2×C4—1042no—
1512C2×C4—1042no—
1513C2×C4—1042no—
1514C2×C4—1042no—
1515C2×C4—1042no—
1516C2×C4—1042no—
1517C2×C4C22×C4×D1312yes—
1518C2×C4C22×C4×D1312yes—
1519C2×C4C22×C4×D1312yes—
1520C2×C4C22×C4×D1312yes—
1521C2×C4C22×C4×D1312yes—
1522C2×C4C22×C4×D1312yes—
1523C2×C4#8825612yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—134no—
1532C22—262no—
1533C22—262no—
1534C22—262no—
1535C22—262no—
1536C22—262no—
1537C22—262no—
1538C22—262no—
1539C22—262no—
1540C22—262no—
1541C22—262no—
1542C22—262no—
1543C22—262no—
1544C22—262no—
1545C22—262no—
1546C22—262no—
1547C22—521no—
1548C22—521no—
1549C22—521no—
1550C22—521no—
1551C22—521no—
1552C22—521no—
1553C22—521no—
1554C22—521no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22—1048no—
1560C22C23×C4×D1311yescharacteristic
1561C22C2×#8825611yescharacteristic
1562C22#1171964811yescharacteristic
1563C22D13×H(5,𝔽2)11yescharacteristic
1564C22D13×H(5,𝔽2)11yescharacteristic
1565C22D13×2−1+411yescharacteristic
1566C22#1171965211yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—262no—
1582C4—262no—
1583C4—262no—
1584C4—262no—
1585C4—262no—
1586C4—521no—
1587C4—521no—
1588C4—521no—
1589C4—521no—
1590C4—521no—
1591C4—521no—
1592C4—521no—
1593C2—42no—
1594C2—264no—
1595C2—522no—
1596C2—522no—
1597C2—522no—
1598C2D13×#52011yescharacteristic
1599C2#1312804211yescharacteristic
1600C2C4×#8825611yescharacteristic
1601C2#1312902411yescharacteristic
1602C2#1312906111yescharacteristic
1603C2#1312934711yescharacteristic
1604C2#1312946311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2334C2
socle, cosocleC23×C13C25
prime radicalC2×#11719409C2
hypercenter#2334D13
hypocenterC13#34424
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2334

Complements

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

NH ≅ G/Ntype
2. #13118009C2semidirect
3. #13118007C2semidirect
4. #13117983C2semidirect
5. #13117978C2semidirect
6. #13117907C2semidirect
7. #13117902C2semidirect
8. #13117829C2semidirect
9. #13117823C2semidirect
10. #13117818C2semidirect
11. #13117814C2semidirect
12. #13117814C2semidirect
13. #13117812C2semidirect
14. #13117762C2semidirect
15. #13117760C2semidirect
16. #13117747C2semidirect
17. #13117745C2semidirect
18. #13117615C2semidirect
19. #13117614C2semidirect
20. #13117605C2semidirect
21. #13117570C2semidirect
22. #13117540C2semidirect
23. #13117535C2semidirect
24. #13117535C2semidirect
25. #13117528C2semidirect
26. #13117527C2semidirect
27. #13117447C2semidirect
28. #13117370C2semidirect
29. C4×#88149C2semidirect
30. D13×#388C2semidirect
31. C13×#2334C2semidirect
35. #11719409C4semidirect
45. C2×#88146C22semidirect
47. C2×#88141C22semidirect
63. C2×C4×D52C22semidirect
64. C2×#88126C22semidirect
66. C13×#389C22semidirect
67. C13×#389C22semidirect
71. C13×#387C22semidirect
72. C13×#387C22semidirect
73. C13×#387C22semidirect
76. C13×#382C22semidirect
77. C4×C13×C4⋊C4C22semidirect
78. C4×C13×C4⋊C4C22semidirect
84. #11718651C22semidirect
90. #11718650C22semidirect
91. #11718650C22semidirect
92. #11718650C22semidirect
93. #11718650C22semidirect
95. #11718649C22semidirect
98. #11718648C22semidirect
99. #11718648C22semidirect
100. #11718646C22semidirect
101. #11718646C22semidirect
102. #11718642C22semidirect
103. #11718642C22semidirect
104. #11718642C22semidirect
105. #11718639C22semidirect
106. #11718638C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. #11718635C22semidirect
109. #11718633C22semidirect
126. #11718601C22semidirect
131. C4×#6103C22semidirect
132. C4×#6103C22semidirect
133. #11718597C22semidirect
134. C4×C4⋊Dic13C22semidirect
135. #11718594C22semidirect
136. #11718594C22semidirect
137. C4×#6101C22semidirect
138. #11718589C22semidirect
139. #11718589C22semidirect
142. #11718331C22semidirect
143. #11718331C22semidirect
144. #11718331C22semidirect
147. #11718330C22semidirect
148. #11718330C22semidirect
149. #11718330C22semidirect
155. #11718329C22semidirect
156. #11718329C22semidirect
159. #11718328C22semidirect
160. #11718328C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
176. D13×#95C22semidirect
177. D13×#95C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718311C22semidirect
182. #11718310C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
213. C13×#126C2×C4semidirect
306. #88152C2×C4semidirect
307. #88150C2×C4semidirect
308. #88149C2×C4semidirect
309. #88149C2×C4semidirect
310. #88148C2×C4semidirect
314. #88147C2×C4semidirect
318. #88139C2×C4semidirect
319. #88138C2×C4semidirect
320. #88137C2×C4semidirect
321. #88136C2×C4semidirect
322. #88136C2×C4semidirect
327. C22⋊C4×D13C2×C4semidirect
328. #88129C2×C4semidirect
333. C4×D52C2×C4semidirect
597. #2334D13semidirect
801. #389C2×D13semidirect
802. #389C2×D13semidirect
836. #387C2×D13semidirect
837. #387C2×D13semidirect
838. #387C2×D13semidirect
878. #382C2×D13semidirect
893. C4×C4⋊C4C2×D13semidirect
894. C4×C4⋊C4C2×D13semidirect
1004. #126C4×D13semidirect
1378. C13#34424semidirect

Maximal subgroups

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

subgroupindex
C2×#117194092
#131180092
#131180072
#131179832
#131179782
#131179072
#131179022
#131178292
#131178232
#131178182
#131178142
#131178122
#131177622
#131177602
#131177472
#131177452
#131176152
#131176142
#131176052
#131175702
#131175402
#131175352
#131175282
#131175272
#131174472
#131173702
C4×#881492
D13×#3882
C13×#23342
#3442413