Finite Group Databasebeta

← #16025654

Subgroups — #16025654

Order 3328.

2502 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#123C211yesmaximal, characteristic
2#13117985C211yesmaximal, characteristic, complemented
3#13117983C211yesmaximal, characteristic, complemented
4#13117981C211yesmaximal, characteristic, complemented
5#13117978C211yesmaximal, characteristic, complemented
6#13117970C211yesmaximal, characteristic, complemented
7#13117968C211yesmaximal, characteristic, complemented
8#13117965C211yesmaximal, characteristic, complemented
9#13117964C211yesmaximal, characteristic, complemented
10#13117704C211yesmaximal, characteristic, complemented
11#13117702C211yesmaximal, characteristic, complemented
12#13117702C211yesmaximal, characteristic, complemented
13#13117701C211yesmaximal, characteristic, complemented
14#13117684C211yesmaximal, characteristic, complemented
15#13117683C211yesmaximal, characteristic, complemented
16#13117680C211yesmaximal, characteristic, complemented
17#13117679C211yesmaximal, characteristic, complemented
18#13117631C211yesmaximal, characteristic, complemented
19#13117630C211yesmaximal, characteristic, complemented
20#13117627C211yesmaximal, characteristic, complemented
21#13117626C211yesmaximal, characteristic, complemented
22#13117623C211yesmaximal, characteristic, complemented
23#13117622C211yesmaximal, characteristic, complemented
24#13117619C211yesmaximal, characteristic, complemented
25#13117430C211yesmaximal, characteristic, complemented
26#13117430C211yesmaximal, characteristic, complemented
27#13117415C211yesmaximal, characteristic
28#13117410C211yesmaximal, characteristic
29#13117218C211yesmaximal, characteristic, complemented
30#13117217C211yesmaximal, characteristic, complemented
31C13×#2335C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×#88189C2211yescharacteristic
36C2×#88183C2211yescharacteristic
37C22×#6103C2211yescharacteristic
38D13×#123C4116yescomplemented
39C2×#88148C2211yescharacteristic
40C2×#88148C2211yescharacteristic
41C2×#88146C2211yescharacteristic
42C2×#88146C2211yescharacteristic
43C2×#88146C2211yescharacteristic
44C2×C4⋊C4×D13C2211yescharacteristic
45C2×C4⋊C4×D13C2211yescharacteristic
46C2×#88140C2211yescharacteristic
47C2×#88137C2211yescharacteristic
48C2×#88137C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×#88126C2211yescharacteristic
54C2×#88126C2211yescharacteristic
55C2×#88126C2211yescharacteristic
56C13×#390C2211yescharacteristic
57C13×#389C2211yescharacteristic, complemented
58C13×#388C2211yescharacteristic, complemented
59C13×#388C2211yescharacteristic, complemented
60C13×#388C2211yescharacteristic, complemented
61C13×#388C2211yescharacteristic, complemented
62C13×#387C2211yescharacteristic, complemented
63C13×#387C2211yescharacteristic, complemented
64C13×#386C2211yescharacteristic
65C13×#385C2211yescharacteristic, complemented
66C13×#380C2211yescharacteristic, complemented
67C4×C13×C4⋊C4C2211yescharacteristic, complemented
68C4×C13×C22⋊C4C2211yescharacteristic, complemented
69C4×C13×C22⋊C4C2211yescharacteristic, complemented
70#11718882C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718873C2211yescharacteristic, complemented
74#11718871C2211yescharacteristic, complemented
75C4×C22⋊Dic13C2211yescharacteristic, complemented
76C4×C22⋊Dic13C2211yescharacteristic, complemented
77#11718651C2211yescharacteristic, complemented
78#11718651C2211yescharacteristic, complemented
79#11718651C2211yescharacteristic, complemented
80#11718651C2211yescharacteristic, complemented
81#11718650C2211yescharacteristic, complemented
82#11718650C2211yescharacteristic, complemented
83#11718649C2211yescharacteristic
84#11718648C2211yescharacteristic
85#11718648C2211yescharacteristic
86#11718648C2211yescharacteristic, complemented
87#11718648C2211yescharacteristic, complemented
88#11718646C2211yescharacteristic, complemented
89#11718642C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718639C2211yescharacteristic, complemented
92#11718639C2211yescharacteristic, complemented
93C4⋊C4×Dic13C2211yescharacteristic, complemented
94C4⋊C4×Dic13C2211yescharacteristic, complemented
95#11718634C2211yescharacteristic, complemented
96#11718633C2211yescharacteristic, complemented
97#11718633C2211yescharacteristic, complemented
98#11718619C2211yescharacteristic
99#11718618C2211yescharacteristic
100#11718618C2211yescharacteristic
101#11718618C2211yescharacteristic
102#11718618C2211yescharacteristic
103#11718617C2211yescharacteristic
104#11718617C2211yescharacteristic
105#11718616C2211yescharacteristic
106#11718616C2211yescharacteristic
107#11718616C2211yescharacteristic
108#11718616C2211yescharacteristic
109#11718616C2211yescharacteristic
110#11718616C2211yescharacteristic
111#11718612C2211yescharacteristic, complemented
112#11718612C2211yescharacteristic, complemented
113#11718612C2211yescharacteristic, complemented
114#11718612C2211yescharacteristic, complemented
115#11718611C2211yescharacteristic, complemented
116#11718607C2211yescharacteristic, complemented
117#11718606C2211yescharacteristic, complemented
118#11718606C2211yescharacteristic, complemented
119#11718606C2211yescharacteristic, complemented
120#11718606C2211yescharacteristic, complemented
121#11718605C2211yescharacteristic, complemented
122#11718605C2211yescharacteristic, complemented
123#11718605C2211yescharacteristic, complemented
124#11718605C2211yescharacteristic, complemented
125#11718603C2211yescharacteristic, complemented
126#11718603C2211yescharacteristic, complemented
127C22⋊C4×Dic13C2211yescharacteristic, complemented
128C22⋊C4×Dic13C2211yescharacteristic, complemented
129C22⋊C4×Dic13C2211yescharacteristic, complemented
130C22⋊C4×Dic13C2211yescharacteristic, complemented
131#11718601C2211yescharacteristic, complemented
132#11718601C2211yescharacteristic, complemented
133#11718601C2211yescharacteristic, complemented
134#11718601C2211yescharacteristic, complemented
135#11718600C2211yescharacteristic
136C4×#6103C2211yescharacteristic
137C4×#6103C2211yescharacteristic
138C4×#6103C2211yescharacteristic, complemented
139C4×#6103C2211yescharacteristic, complemented
140C4×#6103C2211yescharacteristic, complemented
141C4×#6103C2211yescharacteristic, complemented
142C4×C4⋊Dic13C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144#11718594C2211yescharacteristic, complemented
145C4×#6101C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147#11718589C2211yescharacteristic, complemented
148#11718331C2211yescharacteristic, complemented
149#11718331C2211yescharacteristic, complemented
150#11718331C2211yescharacteristic, complemented
151#11718331C2211yescharacteristic, complemented
152#11718330C2211yescharacteristic, complemented
153#11718330C2211yescharacteristic, complemented
154#11718330C2211yescharacteristic, complemented
155#11718330C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic, complemented
157#11718329C2211yescharacteristic, complemented
158#11718328C2211yescharacteristic
159#11718328C2211yescharacteristic
160#11718328C2211yescharacteristic, complemented
161#11718328C2211yescharacteristic, complemented
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718327C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718325C2211yescharacteristic
171#11718325C2211yescharacteristic
172#11718325C2211yescharacteristic
173#11718325C2211yescharacteristic
174#11718325C2211yescharacteristic
175#11718325C2211yescharacteristic
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C24×D13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C2×D4×D13—42no—
198C2×D4×D13—42no—
199C2×D4×D13C2×C418yes—
200C22×D52C2311yescharacteristic
201C22×C4×D13—42no—
202C22×C4×D13—42no—
203C22×C4×D13C2×C418yescomplemented
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×C4×D13C2311yescharacteristic
213C13×#123C2×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×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊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×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
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246#88189C2×C418yescomplemented
247#88183C2×C418yescomplemented
248C2×#6103—42no—
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×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
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
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313#88148C2×C418yescomplemented
314#88148C2×C418yescomplemented
315#88146—42no—
316#88146—42no—
317#88146—42no—
318C4⋊C4×D13C2×C418yescomplemented
319C4⋊C4×D13C2×C418yescomplemented
320#88140C2×C418yescomplemented
321#88137C2×C418yescomplemented
322#88137C2×C418yescomplemented
323C22⋊C4×D13—42no—
324C22⋊C4×D13C2×C418yes—
325C22⋊C4×D13C2×C418yes—
326C22⋊C4×D13C2×C418yescomplemented
327#88126—42no—
328#88126—42no—
329#88126—42no—
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
370#34357—131nomaximal, Sylow
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13C22×C414yes—
386C23×D13C22×C414yes—
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C2×D4×C13C22×C414yes—
393C22×C4×C13—41no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13C22×C414yes—
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
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
412C2×C22⋊D13—41no—
413C2×C22⋊D13—41no—
414C2×C22⋊D13—41no—
415C2×C22⋊D13—41no—
416C2×C22⋊D13C22×C414yes—
417C2×C22⋊D13C22×C414yes—
418C22×Dic13—41no—
419C22×Dic13—41no—
420C22×Dic13—41no—
421C22×Dic13—41no—
422C22×Dic13—41no—
423C22×Dic13C22×C414yes—
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437D4×D13—416no—
438C2×D52—41no—
439C2×D52—41no—
440C2×D52C22×C414yes—
441C2×C4×D13—22no—
442C2×C4×D13—22no—
443C2×C4×D13—22no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
446C2×C4×D13—22no—
447C2×C4×D13—416no—
448C2×C4×D13—41no—
449C2×C4×D13—41no—
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×D13C22×C414yes—
463C2×C4×D13C22×C414yes—
464C2×C4×D13C22×C414yes—
465C2×C4×D13C22×C414yes—
466C2×C4×D13C22×C414yes—
467C2×C4×D13C22×C414yes—
468C2×C4×D13C22×C414yes—
469C13×C4⋊C4—41no—
470C13×C4⋊C4—41no—
471C13×C4⋊C4—41no—
472C13×C4⋊C4—41no—
473C13×C4⋊C4—41no—
474C13×C4⋊C4C22×C414yes—
475C13×C4⋊C4C22×C414yes—
476C13×C22⋊C4—41no—
477C13×C22⋊C4—41no—
478C13×C22⋊C4—41no—
479C13×C22⋊C4—41no—
480C13×C22⋊C4—41no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4—41no—
483C13×C22⋊C4C22×C414yes—
484C13×C22⋊C4C22×C414yes—
485C13×C22⋊C4C22×C414yes—
486C42×C13—41no—
487C42×C13—41no—
488C42×C13—41no—
489C42×C13—41no—
490C42×C13—41no—
491C22⋊Dic13—41no—
492C22⋊Dic13—41no—
493C22⋊Dic13—41no—
494C22⋊Dic13—41no—
495C22⋊Dic13—41no—
496C22⋊Dic13—41no—
497C22⋊Dic13—41no—
498C22⋊Dic13C22×C414yes—
499C22⋊Dic13C22×C414yes—
500C22⋊Dic13C22×C414yes—
501#6103—22no—
502#6103—22no—
503#6103—22no—
504#6103—22no—
505#6103—22no—
506#6103—22no—
507#6103—22no—
508#6103—22no—
509#6103—41no—
510#6103—41no—
511#6103—41no—
512#6103—41no—
513#6103—41no—
514#6103—41no—
515#6103—41no—
516#6103—41no—
517#6103—41no—
518#6103—41no—
519#6103—41no—
520#6103—41no—
521#6103—41no—
522#6103—41no—
523#6103C22×C414yes—
524#6103C22×C414yes—
525#6103C22×C414yes—
526#6103C22×C414yes—
527#6103C22×C414yes—
528#6103C22×C414yes—
529C4⋊Dic13—41no—
530C4⋊Dic13—41no—
531C4⋊Dic13—41no—
532C4⋊Dic13—41no—
533C4⋊Dic13—41no—
534C4⋊Dic13C22×C414yes—
535C4⋊Dic13C22×C414yes—
536#6101—41no—
537#6101—41no—
538#6101—41no—
539#6101—41no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544#6101—41no—
545#6101—41no—
546#6101C22×C414yes—
547#6101C22×C414yes—
548#6101C22×C414yes—
549#6101C22×C414yes—
550C4×Dic13—41no—
551C4×Dic13—41no—
552C4×Dic13—41no—
553C4×Dic13—41no—
554C4×Dic13—41no—
555C4×Dic13—41no—
556C4×Dic13—41no—
557C4×Dic13—41no—
558C4×Dic13—41no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563C4×Dic13—41no—
564C4×Dic13—41no—
565C22×#123—131no—
566#2376—131no—
567#2376—131no—
568#2376—131no—
569#2376—131no—
570#2374—131no—
571#2374—131no—
572#2374—131no—
573#2374—131no—
574#2344—131no—
575#2344—131no—
576#2344—131no—
577#2344—131no—
578#2342—131no—
579#2342—131no—
580#2342—131no—
581#2342—131no—
582#2335—131no—
583#2335—131no—
584#2335—131no—
585#2335—131no—
586#2335—131no—
587#2335—131no—
588#2335—131no—
589#2335D1311yescharacteristic, complemented
590#2312—131no—
591#2312—131no—
592#2309—131no—
593#2308—131no—
594#2280—131no—
595#2280—131no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13C23×C412yes—
609C23×C13C23×C412yes—
610C23×C13C2511yescharacteristic
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—21no—
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—28no—
628C22×D13—28no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13—44no—
633C22×D13—44no—
634C22×D13—44no—
635C22×D13—44no—
636C22×D13—44no—
637C22×D13—82no—
638C22×D13—82no—
639C22×D13—82no—
640C22×D13—82no—
641C22×D13C23×C412yes—
642C22×D13C23×C412yes—
643C22×D13C23×C412yes—
644C22×D13H(5,𝔽2)12yes—
645C22×D13H(5,𝔽2)12yes—
646D4×C13—44no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
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—44no—
682C2×C4×C13—82no—
683C2×C4×C13C23×C412yes—
684C2×C4×C13C23×C412yes—
685C2×C4×C13C23×C412yes—
686C2×C4×C13C23×C412yes—
687C2×C4×C13C23×C412yes—
688C22⋊D13—44no—
689C22⋊D13—44no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
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—44no—
725C2×Dic13—82no—
726C2×Dic13C23×C412yes—
727C2×Dic13C23×C412yes—
728C2×Dic13C23×C412yes—
729C2×Dic13C23×C412yes—
730C2×Dic13C23×C412yes—
731D52—44no—
732C4×D13—28no—
733C4×D13—28no—
734C4×D13—28no—
735C4×D13—44no—
736C4×D13—44no—
737C4×D13—44no—
738C4×D13—44no—
739C4×D13—82no—
740C4×D13—82no—
741C23×D4—131no—
742C24×C4—131no—
743C2×#123—131no—
744C2×#123—131no—
745C2×#123—1316no—
746C2×#123—131no—
747C2×#123—131no—
748C2×#123—131no—
749C2×#123—131no—
750C2×#123—131no—
751C2×#123C2×D1311yescharacteristic
752C2×#117—131no—
753C2×#117—131no—
754C2×#117—131no—
755C2×#117—131no—
756C2×#117—131no—
757C2×#117—131no—
758C22×C4⋊C4—131no—
759C22×C4⋊C4—131no—
760C22×C22⋊C4—131no—
761C22×C22⋊C4—131no—
762C22×C22⋊C4—131no—
763C22×C22⋊C4—131no—
764C22×C22⋊C4—131no—
765#390—131no—
766#390—131no—
767#390—131no—
768#390—131no—
769#390—131no—
770#390—131no—
771#390—131no—
772#390C2×D1311yescharacteristic
773#389—131no—
774#389—131no—
775#389—131no—
776#389—131no—
777#389—131no—
778#389—131no—
779#389—131no—
780#389C2×D1311yescharacteristic, complemented
781#388—131no—
782#388—131no—
783#388—131no—
784#388—131no—
785#388—131no—
786#388—131no—
787#388—131no—
788#388—131no—
789#388—131no—
790#388—131no—
791#388—131no—
792#388—131no—
793#388—131no—
794#388—131no—
795#388—131no—
796#388—131no—
797#388—131no—
798#388—131no—
799#388—131no—
800#388—131no—
801#388—131no—
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388C2×D1311yescharacteristic, complemented
810#388C2×D1311yescharacteristic, complemented
811#388C2×D1311yescharacteristic, complemented
812#388C2×D1311yescharacteristic, complemented
813#387—131no—
814#387—131no—
815#387—131no—
816#387—131no—
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387—131no—
825#387—131no—
826#387—131no—
827#387C2×D1311yescharacteristic, complemented
828#387C2×D1311yescharacteristic, complemented
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386—131no—
836#386C2×D1311yescharacteristic
837#385—131no—
838#385—131no—
839#385—131no—
840#385—131no—
841#385—131no—
842#385—131no—
843#385—131no—
844#385C2×D1311yescharacteristic, complemented
845#381—131no—
846#381—131no—
847#381—131no—
848#381—131no—
849#381—131no—
850#381—131no—
851#380—131no—
852#380—131no—
853#380—131no—
854#380—131no—
855#380—131no—
856#380—131no—
857#380—131no—
858#380—131no—
859#380—131no—
860#380—131no—
861#380—131no—
862#380C2×D1311yescharacteristic, complemented
863#379—131no—
864#379—131no—
865#379—131no—
866#379—131no—
867#379—131no—
868#379—131no—
869C4×C4⋊C4—131no—
870C4×C4⋊C4—131no—
871C4×C4⋊C4—131no—
872C4×C4⋊C4—131no—
873C4×C4⋊C4—131no—
874C4×C4⋊C4—131no—
875C4×C4⋊C4—131no—
876C4×C4⋊C4C2×D1311yescharacteristic, complemented
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887C4×C22⋊C4—131no—
888C4×C22⋊C4—131no—
889C4×C22⋊C4—131no—
890C4×C22⋊C4—131no—
891C4×C22⋊C4—131no—
892C4×C22⋊C4—131no—
893C4×C22⋊C4—131no—
894C4×C22⋊C4—131no—
895C4×C22⋊C4C2×D1311yescharacteristic, complemented
896C4×C22⋊C4C2×D1311yescharacteristic, complemented
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—22no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13C24×C411yescharacteristic
912C22×C13C2×H(5,𝔽2)11yescharacteristic
913C22×C13C2×H(5,𝔽2)11yescharacteristic
914C22×C13#58511yescharacteristic
915C22×C13#58511yescharacteristic
916C22×C13#58511yescharacteristic
917C22×C13#58511yescharacteristic
918C2×D13—22no—
919C2×D13—22no—
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—22no—
924C2×D13—22no—
925C2×D13—22no—
926C2×D13—22no—
927C2×D13—22no—
928C2×D13—22no—
929C2×D13—22no—
930C2×D13—416no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13—41no—
935C2×D13—41no—
936C2×D13—41no—
937C2×D13—41no—
938C2×D13—41no—
939C2×D13—88no—
940C2×D13#51814yes—
941C4×C13—22no—
942C4×C13—22no—
943C4×C13—22no—
944C4×C13—22no—
945C4×C13—22no—
946C4×C13—41no—
947C4×C13—41no—
948C4×C13—41no—
949C4×C13—41no—
950C4×C13—41no—
951C4×C13—41no—
952C4×C13—41no—
953C4×C13—41no—
954Dic13—22no—
955Dic13—22no—
956Dic13—22no—
957Dic13—22no—
958Dic13—22no—
959Dic13—41no—
960Dic13—41no—
961Dic13—41no—
962Dic13—41no—
963Dic13—41no—
964Dic13—41no—
965Dic13—41no—
966Dic13—41no—
967C25—131no—
968C25—131no—
969C22×D4—131no—
970C22×D4—131no—
971C22×D4—138no—
972C22×D4—131no—
973C22×D4—522no—
974C22×D4—522no—
975C22×D4C22×D1311yescharacteristic
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—138no—
981C23×C4—131no—
982C23×C4—131no—
983C23×C4—131no—
984C23×C4—131no—
985C23×C4—131no—
986C23×C4—131no—
987C23×C4—131no—
988C23×C4—522no—
989C23×C4—522no—
990C23×C4C22×D1311yescharacteristic
991C23×C4C22×D1311yescharacteristic
992#123—138no—
993#123—138no—
994#123—138no—
995#123—138no—
996#123—138no—
997#123—138no—
998#123—138no—
999#123C4×D1318yescomplemented
1000#117—522no—
1001#117—522no—
1002#117—522no—
1003#117—522no—
1004#117—522no—
1005#117—522no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—138no—
1013C2×C4⋊C4—138no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4—131no—
1017C2×C4⋊C4—131no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—131no—
1020C2×C4⋊C4—131no—
1021C2×C4⋊C4—131no—
1022C2×C4⋊C4—131no—
1023C2×C4⋊C4—131no—
1024C2×C4⋊C4—131no—
1025C2×C4⋊C4—131no—
1026C2×C4⋊C4—131no—
1027C2×C4⋊C4—131no—
1028C2×C4⋊C4—131no—
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C4⋊C4C22×D1311yescharacteristic
1031C2×C4⋊C4C22×D1311yescharacteristic
1032C2×C4⋊C4C22×D1311yescharacteristic
1033C2×C4⋊C4C22×D1311yescharacteristic
1034C2×C4⋊C4C22×D1311yescharacteristic
1035C2×C4⋊C4C22×D1311yescharacteristic
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—138no—
1046C2×C22⋊C4—138no—
1047C2×C22⋊C4—138no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—131no—
1056C2×C22⋊C4—131no—
1057C2×C22⋊C4—131no—
1058C2×C22⋊C4—131no—
1059C2×C22⋊C4—131no—
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—522no—
1078C2×C22⋊C4—522no—
1079C2×C22⋊C4C22×D1311yescharacteristic
1080C2×C22⋊C4C22×D1311yescharacteristic
1081C2×C22⋊C4C22×D1311yescharacteristic
1082C2×C22⋊C4C22×D1311yescharacteristic
1083C2×C22⋊C4C22×D1311yescharacteristic
1084C2×C22⋊C4C22×D1311yescharacteristic
1085C2×C22⋊C4C22×D1311yescharacteristic
1086C2×C22⋊C4C22×D1311yescharacteristic
1087C2×C22⋊C4C22×D1311yescharacteristic
1088C2×C22⋊C4C22×D1311yescharacteristic
1089C2×C42—131no—
1090C2×C42—131no—
1091C2×C42—131no—
1092C2×C42—131no—
1093C2×C42—131no—
1094C2×C42—131no—
1095C2×C42—131no—
1096C2×C42—131no—
1097C2×C42—131no—
1098C2×C42—131no—
1099C2×C42—131no—
1100C2×C42—131no—
1101C2×C42—131no—
1102C2×C42—131no—
1103C2×C42—131no—
1104C2×C42C22×D1311yescharacteristic
1105C2×C42C22×D1311yescharacteristic
1106C2×C42C22×D1311yescharacteristic
1107C2×C42C22×D1311yescharacteristic
1108C2×C42C22×D1311yescharacteristic
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
1125#95—131no—
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#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144#95C22×D1311yescharacteristic
1145#95C22×D1311yescharacteristic
1146#95C22×D1311yescharacteristic
1147#95C22×D1311yescharacteristic
1148#95C22×D1311yescharacteristic
1149C2×C13—42no—
1150C2×C13—42no—
1151C2×C13C2×#51811yescharacteristic
1152C2×C13#342811yescharacteristic
1153C2×C13#342811yescharacteristic
1154C2×C13#353311yescharacteristic
1155C2×C13#353311yescharacteristic
1156C2×C13#353311yescharacteristic
1157C2×C13#353311yescharacteristic
1158D13—24no—
1159D13—42no—
1160D13—42no—
1161C24—131no—
1162C24—131no—
1163C24—131no—
1164C24—134no—
1165C24—134no—
1166C24—262no—
1167C24—262no—
1168C24—262no—
1169C24—262no—
1170C24—521no—
1171C24—521no—
1172C24—521no—
1173C24—521no—
1174C24—521no—
1175C24—521no—
1176C24—521no—
1177C24—521no—
1178C24C23×D1311yescharacteristic
1179C24C23×D1311yescharacteristic
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—134no—
1183C2×D4—134no—
1184C2×D4—134no—
1185C2×D4—521no—
1186C2×D4—521no—
1187C2×D4—5216no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4—521no—
1191C2×D4—521no—
1192C2×D4C2×C4×D1314yes—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—131no—
1202C22×C4—131no—
1203C22×C4—134no—
1204C22×C4—134no—
1205C22×C4—134no—
1206C22×C4—134no—
1207C22×C4—134no—
1208C22×C4—134no—
1209C22×C4—134no—
1210C22×C4—134no—
1211C22×C4—131no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—131no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—521no—
1226C22×C4—521no—
1227C22×C4—521no—
1228C22×C4—521no—
1229C22×C4—521no—
1230C22×C4—521no—
1231C22×C4—521no—
1232C22×C4—521no—
1233C22×C4—521no—
1234C22×C4—521no—
1235C22×C4—521no—
1236C22×C4—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—5216no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4C2×C4×D1314yes—
1246C22×C4C23×D1311yescharacteristic
1247C22×C4C23×D1311yescharacteristic
1248C22×C4C23×D1311yescharacteristic
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C22×C4C23×D1311yescharacteristic
1256C22×C4C23×D1311yescharacteristic
1257C22×C4C23×D1311yescharacteristic
1258C22×C4C23×D1311yescharacteristic
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—134no—
1265C4⋊C4—134no—
1266C4⋊C4—134no—
1267C4⋊C4—134no—
1268C4⋊C4—134no—
1269C4⋊C4—134no—
1270C4⋊C4—521no—
1271C4⋊C4—521no—
1272C4⋊C4—521no—
1273C4⋊C4—521no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C4⋊C4—521no—
1285C4⋊C4C2×C4×D1314yes—
1286C4⋊C4C2×C4×D1314yes—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—134no—
1295C22⋊C4—134no—
1296C22⋊C4—134no—
1297C22⋊C4—134no—
1298C22⋊C4—134no—
1299C22⋊C4—134no—
1300C22⋊C4—134no—
1301C22⋊C4—134no—
1302C22⋊C4—134no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
1305C22⋊C4—262no—
1306C22⋊C4—262no—
1307C22⋊C4—262no—
1308C22⋊C4—262no—
1309C22⋊C4—262no—
1310C22⋊C4—262no—
1311C22⋊C4—521no—
1312C22⋊C4—521no—
1313C22⋊C4—521no—
1314C22⋊C4—521no—
1315C22⋊C4—521no—
1316C22⋊C4—521no—
1317C22⋊C4—521no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4—521no—
1327C22⋊C4—521no—
1328C22⋊C4—521no—
1329C22⋊C4—521no—
1330C22⋊C4—521no—
1331C22⋊C4—521no—
1332C22⋊C4C2×C4×D1314yes—
1333C22⋊C4C2×C4×D1314yes—
1334C22⋊C4C2×C4×D1314yes—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—521no—
1341C42—521no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
1346C42—521no—
1347C42—521no—
1348C42—521no—
1349C42—521no—
1350C42—521no—
1351C42—521no—
1352C42—521no—
1353C42—521no—
1354C42—521no—
1355C13#3435711yescharacteristic, complemented, Sylow
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—132no—
1369C23—132no—
1370C23—132no—
1371C23—132no—
1372C23—132no—
1373C23—268no—
1374C23—268no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23—261no—
1386C23—261no—
1387C23—261no—
1388C23—261no—
1389C23—261no—
1390C23—261no—
1391C23—524no—
1392C23—524no—
1393C23—524no—
1394C23—524no—
1395C23—524no—
1396C23—524no—
1397C23—524no—
1398C23—524no—
1399C23—1042no—
1400C23—1042no—
1401C23—1042no—
1402C23—1042no—
1403C23C22×C4×D1312yes—
1404C23C22×C4×D1312yes—
1405C23C24×D1311yescharacteristic
1406D4—44no—
1407D4—524no—
1408D4—524no—
1409D4—524no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
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—44no—
1445C2×C4—82no—
1446C2×C4—132no—
1447C2×C4—132no—
1448C2×C4—132no—
1449C2×C4—132no—
1450C2×C4—132no—
1451C2×C4—268no—
1452C2×C4—268no—
1453C2×C4—268no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
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—524no—
1489C2×C4—524no—
1490C2×C4—524no—
1491C2×C4—524no—
1492C2×C4—524no—
1493C2×C4—1042no—
1494C2×C4—1042no—
1495C2×C4—1042no—
1496C2×C4C22×C4×D1312yes—
1497C2×C4C22×C4×D1312yes—
1498C2×C4C22×C4×D1312yes—
1499C2×C4C22×C4×D1312yes—
1500C2×C4C22×C4×D1312yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—134no—
1516C22—262no—
1517C22—262no—
1518C22—262no—
1519C22—262no—
1520C22—262no—
1521C22—262no—
1522C22—262no—
1523C22—262no—
1524C22—262no—
1525C22—262no—
1526C22—262no—
1527C22—262no—
1528C22—5216no—
1529C22—521no—
1530C22—521no—
1531C22—521no—
1532C22—521no—
1533C22—521no—
1534C22—521no—
1535C22—521no—
1536C22—521no—
1537C22—1048no—
1538C22C23×C4×D1311yescharacteristic
1539C22#1171964811yescharacteristic
1540C22#1171964811yescharacteristic
1541C22D13×H(5,𝔽2)11yescharacteristic
1542C22D13×H(5,𝔽2)11yescharacteristic
1543C22#1171965011yescharacteristic
1544C22#1171965211yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—262no—
1559C4—262no—
1560C4—262no—
1561C4—262no—
1562C4—262no—
1563C4—521no—
1564C4—521no—
1565C4—521no—
1566C4—521no—
1567C4—521no—
1568C4—521no—
1569C4—521no—
1570C4—521no—
1571C2—42no—
1572C2—42no—
1573C2—264no—
1574C2—522no—
1575C2—522no—
1576C2D13×#51811yescharacteristic
1577C2#1312803511yescharacteristic
1578C2#1312803611yescharacteristic
1579C2#1312899611yescharacteristic
1580C2#1312899911yescharacteristic
1581C2#1312900311yescharacteristic
1582C2#1312901111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2335C2
socle, cosocleC23×C13C25
prime radicalC22×D4×D13C22
hypercenter#2335D13
hypocenterC13#34357
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #13117985C2semidirect
3. #13117983C2semidirect
4. #13117981C2semidirect
5. #13117978C2semidirect
6. #13117970C2semidirect
7. #13117968C2semidirect
8. #13117965C2semidirect
9. #13117964C2semidirect
10. #13117704C2semidirect
11. #13117702C2semidirect
12. #13117702C2semidirect
13. #13117701C2semidirect
14. #13117684C2semidirect
15. #13117683C2semidirect
16. #13117680C2semidirect
17. #13117679C2semidirect
18. #13117631C2semidirect
19. #13117630C2semidirect
20. #13117627C2semidirect
21. #13117626C2semidirect
22. #13117623C2semidirect
23. #13117622C2semidirect
24. #13117619C2semidirect
25. #13117430C2semidirect
26. #13117430C2semidirect
29. #13117218C2semidirect
30. #13117217C2semidirect
31. C13×#2335C2semidirect
38. D13×#123C4semidirect
57. C13×#389C22semidirect
58. C13×#388C22semidirect
59. C13×#388C22semidirect
60. C13×#388C22semidirect
61. C13×#388C22semidirect
62. C13×#387C22semidirect
63. C13×#387C22semidirect
65. C13×#385C22semidirect
66. C13×#380C22semidirect
67. C4×C13×C4⋊C4C22semidirect
68. C4×C13×C22⋊C4C22semidirect
69. C4×C13×C22⋊C4C22semidirect
73. #11718873C22semidirect
74. #11718871C22semidirect
75. C4×C22⋊Dic13C22semidirect
76. C4×C22⋊Dic13C22semidirect
77. #11718651C22semidirect
78. #11718651C22semidirect
79. #11718651C22semidirect
80. #11718651C22semidirect
81. #11718650C22semidirect
82. #11718650C22semidirect
86. #11718648C22semidirect
87. #11718648C22semidirect
88. #11718646C22semidirect
89. #11718642C22semidirect
90. #11718642C22semidirect
91. #11718639C22semidirect
92. #11718639C22semidirect
93. C4⋊C4×Dic13C22semidirect
94. C4⋊C4×Dic13C22semidirect
95. #11718634C22semidirect
96. #11718633C22semidirect
97. #11718633C22semidirect
111. #11718612C22semidirect
112. #11718612C22semidirect
113. #11718612C22semidirect
114. #11718612C22semidirect
115. #11718611C22semidirect
116. #11718607C22semidirect
117. #11718606C22semidirect
118. #11718606C22semidirect
119. #11718606C22semidirect
120. #11718606C22semidirect
121. #11718605C22semidirect
122. #11718605C22semidirect
123. #11718605C22semidirect
124. #11718605C22semidirect
125. #11718603C22semidirect
126. #11718603C22semidirect
127. C22⋊C4×Dic13C22semidirect
128. C22⋊C4×Dic13C22semidirect
129. C22⋊C4×Dic13C22semidirect
130. C22⋊C4×Dic13C22semidirect
131. #11718601C22semidirect
132. #11718601C22semidirect
133. #11718601C22semidirect
134. #11718601C22semidirect
138. C4×#6103C22semidirect
139. C4×#6103C22semidirect
140. C4×#6103C22semidirect
141. C4×#6103C22semidirect
142. C4×C4⋊Dic13C22semidirect
143. #11718594C22semidirect
144. #11718594C22semidirect
145. C4×#6101C22semidirect
146. C4×#6101C22semidirect
147. #11718589C22semidirect
148. #11718331C22semidirect
149. #11718331C22semidirect
150. #11718331C22semidirect
151. #11718331C22semidirect
152. #11718330C22semidirect
153. #11718330C22semidirect
154. #11718330C22semidirect
155. #11718330C22semidirect
156. #11718329C22semidirect
157. #11718329C22semidirect
160. #11718328C22semidirect
161. #11718328C22semidirect
164. #11718327C22semidirect
165. #11718327C22semidirect
166. #11718327C22semidirect
167. #11718327C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718315C22semidirect
179. #11718315C22semidirect
180. #11718314C22semidirect
181. #11718314C22semidirect
182. #11718313C22semidirect
183. #11718313C22semidirect
184. #11718310C22semidirect
185. #11718310C22semidirect
186. #11718308C22semidirect
187. #11718308C22semidirect
203. C22×C4×D13C2×C4semidirect
213. C13×#123C2×C4semidirect
246. #88189C2×C4semidirect
247. #88183C2×C4semidirect
313. #88148C2×C4semidirect
314. #88148C2×C4semidirect
318. C4⋊C4×D13C2×C4semidirect
319. C4⋊C4×D13C2×C4semidirect
320. #88140C2×C4semidirect
321. #88137C2×C4semidirect
322. #88137C2×C4semidirect
326. C22⋊C4×D13C2×C4semidirect
589. #2335D13semidirect
780. #389C2×D13semidirect
809. #388C2×D13semidirect
810. #388C2×D13semidirect
811. #388C2×D13semidirect
812. #388C2×D13semidirect
827. #387C2×D13semidirect
828. #387C2×D13semidirect
844. #385C2×D13semidirect
862. #380C2×D13semidirect
876. C4×C4⋊C4C2×D13semidirect
895. C4×C22⋊C4C2×D13semidirect
896. C4×C22⋊C4C2×D13semidirect
999. #123C4×D13semidirect
1355. C13#34357semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1232
#131179852
#131179832
#131179812
#131179782
#131179702
#131179682
#131179652
#131179642
#131177042
#131177022
#131177012
#131176842
#131176832
#131176802
#131176792
#131176312
#131176302
#131176272
#131176262
#131176232
#131176222
#131176192
#131174302
#131174152
#131174102
#131172182
#131172172
C13×#23352
#3435713