Finite Group Databasebeta

← #16026124

Subgroups — #16026124

Order 3328.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719291C211yesmaximal, characteristic
2#13118003C211yesmaximal, characteristic, complemented
3#13117996C211yesmaximal, characteristic, complemented
4#13117994C211yesmaximal, characteristic, complemented
5#13117987C211yesmaximal, characteristic, complemented
6#13117834C211yesmaximal, characteristic, complemented
7#13117830C211yesmaximal, characteristic, complemented
8#13117826C211yesmaximal, characteristic, complemented
9#13117822C211yesmaximal, characteristic, complemented
10#13117808C211yesmaximal, characteristic, complemented
11#13117806C211yesmaximal, characteristic, complemented
12#13117774C211yesmaximal, characteristic, complemented
13#13117771C211yesmaximal, characteristic, complemented
14#13117694C211yesmaximal, characteristic, complemented
15#13117690C211yesmaximal, characteristic, complemented
16#13117662C211yesmaximal, characteristic, complemented
17#13117661C211yesmaximal, characteristic, complemented
18#13117602C211yesmaximal, characteristic, complemented
19#13117595C211yesmaximal, characteristic, complemented
20#13117593C211yesmaximal, characteristic, complemented
21#13117586C211yesmaximal, characteristic, complemented
22#13117497C211yesmaximal, characteristic, complemented
23#13117494C211yesmaximal, characteristic, complemented
24#13117491C211yesmaximal, characteristic, complemented
25#13117477C211yesmaximal, characteristic, complemented
26#13117473C211yesmaximal, characteristic, complemented
27#13117466C211yesmaximal, characteristic, complemented
28#13117462C211yesmaximal, characteristic, complemented
29#13117214C211yesmaximal, characteristic, complemented
30C2×#11718604C211yesmaximal, characteristic, complemented
31C13×#2321C211yesmaximal, characteristic, complemented
32C24×Dic13C2211yescharacteristic
33C22×#6129C2211yescharacteristic
34C2×C13×#120C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×#88193C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×#88189C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×D4×Dic13C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46#11719291C4116yescomplemented
47C2×#88140C2211yescharacteristic
48C2×#88135C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×#88135C2211yescharacteristic
51C2×#88132C2211yescharacteristic
52C2×#88132C2211yescharacteristic
53C2×#88131C2211yescharacteristic
54C2×#88131C2211yescharacteristic
55C2×#88131C2211yescharacteristic
56C13×#390C2211yescharacteristic
57C13×#390C2211yescharacteristic
58C13×#388C2211yescharacteristic
59C13×#388C2211yescharacteristic
60C13×#388C2211yescharacteristic
61C13×#388C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#385C2211yescharacteristic
66C13×#379C2211yescharacteristic
67C4×C13×C22⋊C4C2211yescharacteristic
68#11718908C2211yescharacteristic
69#11718882C2211yescharacteristic
70#11718882C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic
74#11718874C2211yescharacteristic
75#11718874C2211yescharacteristic, complemented
76#11718871C2211yescharacteristic
77#11718871C2211yescharacteristic, complemented
78C4×C22⋊Dic13C2211yescharacteristic
79C4×C22⋊Dic13C2211yescharacteristic, complemented
80C2×#88071C2211yescharacteristic
81C2×#88071C2211yescharacteristic
82C2×#88071C2211yescharacteristic
83C2×#88071C2211yescharacteristic
84C2×#88071C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic, complemented
86#11718650C2211yescharacteristic, complemented
87#11718648C2211yescharacteristic, complemented
88#11718639C2211yescharacteristic, complemented
89#11718639C2211yescharacteristic, complemented
90#11718639C2211yescharacteristic, complemented
91#11718638C2211yescharacteristic, complemented
92C4⋊C4×Dic13C2211yescharacteristic, complemented
93C4⋊C4×Dic13C2211yescharacteristic, complemented
94#11718635C2211yescharacteristic, complemented
95#11718634C2211yescharacteristic, complemented
96#11718633C2211yescharacteristic, complemented
97#11718619C2211yescharacteristic
98#11718619C2211yescharacteristic, complemented
99#11718618C2211yescharacteristic
100#11718618C2211yescharacteristic
101#11718618C2211yescharacteristic
102#11718618C2211yescharacteristic
103#11718617C2211yescharacteristic
104#11718617C2211yescharacteristic
105#11718617C2211yescharacteristic
106#11718617C2211yescharacteristic
107#11718617C2211yescharacteristic, complemented
108#11718617C2211yescharacteristic, complemented
109#11718612C2211yescharacteristic
110#11718612C2211yescharacteristic
111#11718612C2211yescharacteristic
112#11718612C2211yescharacteristic
113#11718611C2211yescharacteristic
114#11718607C2211yescharacteristic
115#11718607C2211yescharacteristic, complemented
116#11718606C2211yescharacteristic
117#11718606C2211yescharacteristic
118#11718606C2211yescharacteristic
119#11718606C2211yescharacteristic
120#11718606C2211yescharacteristic, complemented
121#11718606C2211yescharacteristic, complemented
122#11718605C2211yescharacteristic
123#11718605C2211yescharacteristic
124#11718605C2211yescharacteristic
125#11718605C2211yescharacteristic
126#11718605C2211yescharacteristic, complemented
127#11718605C2211yescharacteristic, complemented
128#11718604C2211yescharacteristic
129#11718604C2211yescharacteristic
130#11718604C2211yescharacteristic
131#11718604C2211yescharacteristic
132#11718604C2211yescharacteristic
133#11718604C2211yescharacteristic
134#11718604C2211yescharacteristic
135#11718604C2211yescharacteristic
136#11718604C2211yescharacteristic
137#11718604C2211yescharacteristic
138#11718604C2211yescharacteristic, complemented
139#11718603C2211yescharacteristic
140#11718603C2211yescharacteristic
141#11718603C2211yescharacteristic
142#11718603C2211yescharacteristic
143#11718603C2211yescharacteristic, complemented
144C22⋊C4×Dic13C2211yescharacteristic
145C22⋊C4×Dic13C2211yescharacteristic
146C22⋊C4×Dic13C2211yescharacteristic
147C22⋊C4×Dic13C2211yescharacteristic
148C22⋊C4×Dic13C2211yescharacteristic
149C22⋊C4×Dic13C2211yescharacteristic
150C22⋊C4×Dic13C2211yescharacteristic, complemented
151C22⋊C4×Dic13C2211yescharacteristic, complemented
152#11718601C2211yescharacteristic, complemented
153C4×#6103C2211yescharacteristic, complemented
154C4×#6103C2211yescharacteristic, complemented
155C4×C4⋊Dic13C2211yescharacteristic, complemented
156#11718594C2211yescharacteristic, complemented
157#11718594C2211yescharacteristic, complemented
158#11718594C2211yescharacteristic, complemented
159#11718593C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C4×#6101C2211yescharacteristic, complemented
162#11718590C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic, complemented
165#11718330C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718325C2211yescharacteristic, complemented
169D13×#95C2211yescharacteristic, complemented
170#11718316C2211yescharacteristic, complemented
171#11718316C2211yescharacteristic, complemented
172#11718316C2211yescharacteristic, complemented
173#11718315C2211yescharacteristic, complemented
174#11718315C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718314C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718313C2211yescharacteristic, complemented
179#11718313C2211yescharacteristic, complemented
180#11718312C2211yescharacteristic, complemented
181#11718312C2211yescharacteristic, complemented
182#11718311C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718309C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C25×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13—42no—
200C23×Dic13—42no—
201C23×Dic13C2×C418yescomplemented
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C2×#6129—42no—
213C2×#6129—42no—
214C2×#6129C2×C418yes—
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×Dic26C2311yescharacteristic
219C13×#120C2×C418yescomplemented
220C4×D4×C13—42no—
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4—42no—
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×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244#88207C2×C418yescomplemented
245C2×C22⋊Dic13—42no—
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
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264#88193C2×C418yescomplemented
265#88193C2×C418yescomplemented
266#88189C2×C418yescomplemented
267D4×Dic13—42no—
268D4×Dic13C2×C418yescomplemented
269D4×Dic13C2×C418yescomplemented
270C4×C22⋊D13—42no—
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
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#88140C2×C418yescomplemented
314#88135—42no—
315#88135C2×C418yescomplemented
316#88135C2×C418yescomplemented
317#88132C2×C418yescomplemented
318#88132C2×C418yescomplemented
319#88131—42no—
320#88131—42no—
321#88131C2×C418yescomplemented
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328#88071C2311yescharacteristic
329#88071C2311yescharacteristic
330#88071C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
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#88071C2311yescharacteristic
370#34396—131nomaximal, Sylow
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—41no—
374C24×C13—41no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C22×C414yes—
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C24×C13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—41no—
386C2×D4×C13—41no—
387C2×D4×C13—41no—
388C2×D4×C13—41no—
389C2×D4×C13C22×C414yes—
390C2×D4×C13C22×C414yes—
391C2×D4×C13C22×C414yes—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
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—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—41no—
415C2×C22⋊D13—41no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13C22×C414yes—
421C2×C22⋊D13C22×C414yes—
422C2×C22⋊D13C22×C414yes—
423C2×C22⋊D13C22×C414yes—
424C22×Dic13—22no—
425C22×Dic13—22no—
426C22×Dic13—22no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—41no—
431C22×Dic13—41no—
432C22×Dic13—416no—
433C22×Dic13—41no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13—41no—
437C22×Dic13—41no—
438C22×Dic13—41no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13—41no—
446C22×Dic13—41no—
447C22×Dic13—41no—
448C22×Dic13C22×C414yes—
449C22×Dic13C22×C414yes—
450C22×Dic13C22×C414yes—
451C22×Dic13C22×C414yes—
452C22×Dic13C22×C414yes—
453C22×Dic13C22×C414yes—
454C22×Dic13C22×C414yes—
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470#6129—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×D13C22×C414yes—
480C2×Dic26—41no—
481C2×Dic26—41no—
482C2×Dic26C22×C414yes—
483C13×C4⋊C4—41no—
484C13×C4⋊C4—41no—
485C13×C4⋊C4—41no—
486C13×C22⋊C4—22no—
487C13×C22⋊C4—22no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4—41no—
490C13×C22⋊C4—41no—
491C13×C22⋊C4—41no—
492C13×C22⋊C4—41no—
493C13×C22⋊C4—41no—
494C13×C22⋊C4—41no—
495C13×C22⋊C4—41no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4C22×C414yes—
500C13×C22⋊C4C22×C414yes—
501C13×C22⋊C4C22×C414yes—
502C42×C13—41no—
503C42×C13—41no—
504C42×C13—41no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—41no—
508C22⋊Dic13—41no—
509C22⋊Dic13—41no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13C22×C414yes—
519C22⋊Dic13C22×C414yes—
520C22⋊Dic13C22×C414yes—
521C22⋊Dic13C22×C414yes—
522C22⋊Dic13C22×C414yes—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103C22×C414yes—
530#6103C22×C414yes—
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×Dic13C22×C414yes—
564C4×Dic13C22×C414yes—
565C2×#525—131no—
566#2378—131no—
567#2378—131no—
568#2377—131no—
569#2377—131no—
570#2359—131no—
571#2359—131no—
572#2359—131no—
573#2359—131no—
574#2357—131no—
575#2357—131no—
576#2353—131no—
577#2353—131no—
578#2343—131no—
579#2343—131no—
580#2339—131no—
581#2339—131no—
582#2333—131no—
583#2333—131no—
584#2332—131no—
585#2332—131no—
586#2321—131no—
587#2321—131no—
588#2321—131no—
589#2321D1311yescharacteristic, complemented
590#2319—131no—
591#2319—131no—
592#2318—131no—
593#2318—131no—
594#2280—131no—
595C2×#381—131no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—28no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
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—44no—
620C23×C13—44no—
621C23×C13—44no—
622C23×C13—44no—
623C23×C13—44no—
624C23×C13—44no—
625C23×C13C23×C412yes—
626C23×C13C23×C412yes—
627C23×C13C23×C412yes—
628C23×C13C23×C412yes—
629C23×C13H(5,𝔽2)12yes—
630C23×C13H(5,𝔽2)12yes—
631C23×C13C2511yescharacteristic
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13C23×C412yes—
639D4×C13—28no—
640D4×C13—44no—
641D4×C13—44no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
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—82no—
673C2×C4×C13—82no—
674C2×C4×C13—82no—
675C2×C4×C13C23×C412yes—
676C2×C4×C13C23×C412yes—
677C2×C4×C13C23×C412yes—
678C22⋊D13—28no—
679C22⋊D13—44no—
680C22⋊D13—44no—
681C22⋊D13—44no—
682C2×Dic13—28no—
683C2×Dic13—28no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
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—44no—
723C2×Dic13—44no—
724C2×Dic13—44no—
725C2×Dic13—44no—
726C2×Dic13—44no—
727C2×Dic13—82no—
728C2×Dic13—82no—
729C2×Dic13—82no—
730C2×Dic13C23×C412yes—
731C2×Dic13C23×C412yes—
732C2×Dic13C23×C412yes—
733C2×Dic13C23×C412yes—
734C2×Dic13C23×C412yes—
735C2×Dic13C23×C412yes—
736C2×Dic13C23×C412yes—
737C4×D13—44no—
738C4×D13—82no—
739C4×D13—82no—
740Dic26—44no—
741C22×#41—131no—
742C24×C4—131no—
743#525—1316no—
744C2×#123—131no—
745C2×#123—131no—
746C2×C22⋊Q8—131no—
747C2×C22⋊Q8—131no—
748C2×#121—131no—
749C2×#121—131no—
750C2×#120—131no—
751C2×#120C2×D1311yescharacteristic
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4—131no—
755C2×C4×D4—131no—
756C2×C4×D4—131no—
757C2×C4×D4—131no—
758C2×C4×D4—131no—
759C2×C4×D4C2×D1311yescharacteristic
760C2×#117—131no—
761C2×#117—131no—
762C2×#117—131no—
763C22×C22⋊C4—131no—
764C22×C22⋊C4C2×D1311yescharacteristic
765#391—131no—
766#391—131no—
767#391—131no—
768#391—131no—
769#390—131no—
770#390—131no—
771#390—131no—
772#390—131no—
773#390—131no—
774#390—131no—
775#390C2×D1311yescharacteristic
776#390C2×D1311yescharacteristic
777#389—131no—
778#389—131no—
779#389—131no—
780#389—131no—
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#388C2×D1311yescharacteristic
802#388C2×D1311yescharacteristic
803#388C2×D1311yescharacteristic
804#388C2×D1311yescharacteristic
805#387—131no—
806#387—131no—
807#387—131no—
808#387—131no—
809#387—131no—
810#387—131no—
811#387—131no—
812#387—131no—
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#386—131no—
822#386—131no—
823#386—131no—
824#386—131no—
825#386—131no—
826#386—131no—
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386C2×D1311yescharacteristic
835#386C2×D1311yescharacteristic
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
845#383—131no—
846#383—131no—
847#382—131no—
848#382—131no—
849#381—131no—
850#381—131no—
851#381—131no—
852#381—131no—
853#381—131no—
854#381—131no—
855#381—131no—
856#381—131no—
857#381—131no—
858#381—131no—
859#381—131no—
860#381—131no—
861#380—131no—
862#380—131no—
863#380—131no—
864#380—131no—
865#380—131no—
866#380—131no—
867#379—131no—
868#379C2×D1311yescharacteristic
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×C22⋊C4—131no—
876C4×C22⋊C4—131no—
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⋊C4C2×D1311yescharacteristic
889#376—131no—
890#376—131no—
891C2×#95—131no—
892C2×#95—131no—
893C2×#95—131no—
894C2×#95—131no—
895C2×#95—131no—
896C2×#95—131no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—22no—
903C22×C13—22no—
904C22×C13—22no—
905C22×C13—22no—
906C22×C13—22no—
907C22×C13—22no—
908C22×C13—22no—
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—416no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13#51814yes—
926C22×C13C24×C411yescharacteristic
927C22×C13C2×H(5,𝔽2)11yescharacteristic
928C22×C13C2×H(5,𝔽2)11yescharacteristic
929C22×C13#58511yescharacteristic
930C22×C13#58511yescharacteristic
931C22×C13#58511yescharacteristic
932C22×C13#58511yescharacteristic
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—41no—
937C2×D13—41no—
938C2×D13—41no—
939C2×D13—41no—
940C4×C13—22no—
941C4×C13—22no—
942C4×C13—22no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13—41no—
947C4×C13—41no—
948C4×C13—41no—
949C4×C13—41no—
950C4×C13—41no—
951Dic13—22no—
952Dic13—22no—
953Dic13—22no—
954Dic13—22no—
955Dic13—22no—
956Dic13—22no—
957Dic13—22no—
958Dic13—41no—
959Dic13—41no—
960Dic13—41no—
961Dic13—41no—
962Dic13—41no—
963Dic13—41no—
964Dic13—41no—
965Dic13—41no—
966C25C22×D1311yescharacteristic
967C2×#41—138no—
968C2×#41—522no—
969C2×#41—522no—
970C22×Q8—131no—
971C22×D4—131no—
972C22×D4—131no—
973C22×D4—131no—
974C22×D4—131no—
975C22×D4C22×D1311yescharacteristic
976C22×D4C22×D1311yescharacteristic
977C22×D4C22×D1311yescharacteristic
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—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—522no—
993C23×C4—522no—
994C23×C4C22×D1311yescharacteristic
995C23×C4C22×D1311yescharacteristic
996C23×C4C22×D1311yescharacteristic
997#123—138no—
998#123—138no—
999C22⋊Q8—138no—
1000C22⋊Q8—138no—
1001#121—138no—
1002#121—138no—
1003#120—138no—
1004#120C4×D1318yescomplemented
1005C4×D4—42no—
1006C4×D4—138no—
1007C4×D4—138no—
1008C4×D4—138no—
1009C4×D4—138no—
1010C4×D4—522no—
1011C4×D4—522no—
1012C4×D4—522no—
1013#117—138no—
1014#117—522no—
1015#117—522no—
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⋊C4—131no—
1030C2×C4⋊C4—131no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4C22×D1311yescharacteristic
1036C2×C4⋊C4C22×D1311yescharacteristic
1037C2×C4⋊C4C22×D1311yescharacteristic
1038C2×C22⋊C4—42no—
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—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
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—522no—
1066C2×C22⋊C4C22×D1311yescharacteristic
1067C2×C22⋊C4C22×D1311yescharacteristic
1068C2×C22⋊C4C22×D1311yescharacteristic
1069C2×C22⋊C4C22×D1311yescharacteristic
1070C2×C22⋊C4C22×D1311yescharacteristic
1071C2×C22⋊C4C22×D1311yescharacteristic
1072C2×C22⋊C4C22×D1311yescharacteristic
1073C2×C22⋊C4C22×D1311yescharacteristic
1074C2×C22⋊C4C22×D1311yescharacteristic
1075C2×C22⋊C4C22×D1311yescharacteristic
1076C2×C22⋊C4C22×D1311yescharacteristic
1077C2×C22⋊C4C22×D1311yescharacteristic
1078C2×C22⋊C4C22×D1311yescharacteristic
1079C2×C22⋊C4C22×D1311yescharacteristic
1080C2×C22⋊C4C22×D1311yescharacteristic
1081C2×C22⋊C4C22×D1311yescharacteristic
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—131no—
1088C2×C42—131no—
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×C42C22×D1311yescharacteristic
1098C2×C42C22×D1311yescharacteristic
1099C2×C42C22×D1311yescharacteristic
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95—131no—
1105#95—131no—
1106#95—131no—
1107#95—131no—
1108#95—131no—
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#95—131no—
1140#95—131no—
1141#95—131no—
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144#95C22×D1311yescharacteristic
1145#95C22×D1311yescharacteristic
1146#95C22×D1311yescharacteristic
1147#95C22×D1311yescharacteristic
1148C2×C13—24no—
1149C2×C13—42no—
1150C2×C13—42no—
1151C2×C13—42no—
1152C2×C13C2×#51811yescharacteristic
1153C2×C13#342811yescharacteristic
1154C2×C13#342811yescharacteristic
1155C2×C13#353311yescharacteristic
1156C2×C13#353311yescharacteristic
1157C2×C13#353311yescharacteristic
1158C2×C13#353311yescharacteristic
1159D13—42no—
1160C24—22no—
1161C24—22no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—41no—
1166C24—131no—
1167C24C2×C4×D1314yes—
1168C24C23×D1311yescharacteristic
1169C24C23×D1311yescharacteristic
1170C24C23×D1311yescharacteristic
1171C24C23×D1311yescharacteristic
1172#41—5216no—
1173C2×Q8—134no—
1174C2×Q8—521no—
1175C2×Q8—521no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—134no—
1183C2×D4—134no—
1184C2×D4—134no—
1185C2×D4—134no—
1186C2×D4—262no—
1187C2×D4—262no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4—521no—
1191C2×D4—521no—
1192C2×D4—521no—
1193C2×D4—521no—
1194C2×D4C2×C4×D1314yes—
1195C2×D4C2×C4×D1314yes—
1196C2×D4C2×C4×D1314yes—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—134no—
1207C22×C4—134no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—131no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—134no—
1216C22×C4—134no—
1217C22×C4—134no—
1218C22×C4—134no—
1219C22×C4—134no—
1220C22×C4—134no—
1221C22×C4—131no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—131no—
1226C22×C4—131no—
1227C22×C4—131no—
1228C22×C4—131no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—521no—
1236C22×C4—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—5216no—
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×C4C23×D1311yescharacteristic
1262C22×C4C23×D1311yescharacteristic
1263C22×C4C23×D1311yescharacteristic
1264C22×C4C23×D1311yescharacteristic
1265C22×C4C23×D1311yescharacteristic
1266C22×C4C23×D1311yescharacteristic
1267C22×C4C23×D1311yescharacteristic
1268C22×C4C23×D1311yescharacteristic
1269C22×C4C23×D1311yescharacteristic
1270C22×C4C23×D1311yescharacteristic
1271C22×C4C23×D1311yescharacteristic
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—134no—
1276C4⋊C4—134no—
1277C4⋊C4—134no—
1278C4⋊C4—134no—
1279C4⋊C4—134no—
1280C4⋊C4—134no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C4⋊C4—521no—
1285C4⋊C4—521no—
1286C4⋊C4—521no—
1287C4⋊C4—521no—
1288C4⋊C4—521no—
1289C4⋊C4—521no—
1290C4⋊C4—521no—
1291C4⋊C4—521no—
1292C4⋊C4—521no—
1293C4⋊C4—521no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—134no—
1308C22⋊C4—134no—
1309C22⋊C4—134no—
1310C22⋊C4—134no—
1311C22⋊C4—134no—
1312C22⋊C4—134no—
1313C22⋊C4—134no—
1314C22⋊C4—262no—
1315C22⋊C4—262no—
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⋊C4—521no—
1333C22⋊C4C2×C4×D1314yes—
1334C22⋊C4C2×C4×D1314yes—
1335C22⋊C4C2×C4×D1314yes—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—134no—
1340C42—134no—
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—
1354C13#3439611yescharacteristic, complemented, Sylow
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—28no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—132no—
1385C23—261no—
1386C23—261no—
1387C23—261no—
1388C23—261no—
1389C23—261no—
1390C23—261no—
1391C23C22×C4×D1312yes—
1392C23C22×C4×D1312yes—
1393C23C22×C4×D1312yes—
1394C23C22×C4×D1312yes—
1395C23#8825112yes—
1396C23#8825612yes—
1397C23C24×D1311yescharacteristic
1398Q8—524no—
1399D4—28no—
1400D4—44no—
1401D4—44no—
1402D4—268no—
1403D4—524no—
1404D4—524no—
1405D4—524no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
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—82no—
1437C2×C4—82no—
1438C2×C4—82no—
1439C2×C4—132no—
1440C2×C4—132no—
1441C2×C4—132no—
1442C2×C4—132no—
1443C2×C4—132no—
1444C2×C4—132no—
1445C2×C4—132no—
1446C2×C4—268no—
1447C2×C4—268no—
1448C2×C4—261no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
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—524no—
1487C2×C4—524no—
1488C2×C4—524no—
1489C2×C4—524no—
1490C2×C4—524no—
1491C2×C4—524no—
1492C2×C4—1042no—
1493C2×C4—1042no—
1494C2×C4—1042no—
1495C2×C4—1042no—
1496C2×C4—1042no—
1497C2×C4C22×C4×D1312yes—
1498C2×C4C22×C4×D1312yes—
1499C2×C4C22×C4×D1312yes—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—416no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—262no—
1529C22—262no—
1530C22—262no—
1531C22—521no—
1532C22—521no—
1533C22—521no—
1534C22—521no—
1535C22#1171925014yes—
1536C22C23×C4×D1311yescharacteristic
1537C22C2×#8825111yescharacteristic
1538C22C2×#8825611yescharacteristic
1539C22#1171965011yescharacteristic
1540C22#1171965011yescharacteristic
1541C22#1171965011yescharacteristic
1542C22#1171965011yescharacteristic
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—262no—
1555C4—262no—
1556C4—262no—
1557C4—262no—
1558C4—262no—
1559C4—262no—
1560C4—262no—
1561C4—521no—
1562C4—521no—
1563C4—521no—
1564C4—521no—
1565C4—521no—
1566C4—521no—
1567C4—521no—
1568C4—521no—
1569C2—24no—
1570C2—42no—
1571C2—42no—
1572C2—42no—
1573C2—522no—
1574C2C2×#1171925011yescharacteristic
1575C2#1312803411yescharacteristic
1576C2#1312803411yescharacteristic
1577C2#1312899711yescharacteristic
1578C2#1312900411yescharacteristic
1579C2#1312900411yescharacteristic
1580C2#1312900911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2321C2
socle, cosocleC23×C13C25
prime radicalC2×#11719291C2
hypercenter#2321D13
hypocenterC13#34396
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #13118003C2semidirect
3. #13117996C2semidirect
4. #13117994C2semidirect
5. #13117987C2semidirect
6. #13117834C2semidirect
7. #13117830C2semidirect
8. #13117826C2semidirect
9. #13117822C2semidirect
10. #13117808C2semidirect
11. #13117806C2semidirect
12. #13117774C2semidirect
13. #13117771C2semidirect
14. #13117694C2semidirect
15. #13117690C2semidirect
16. #13117662C2semidirect
17. #13117661C2semidirect
18. #13117602C2semidirect
19. #13117595C2semidirect
20. #13117593C2semidirect
21. #13117586C2semidirect
22. #13117497C2semidirect
23. #13117494C2semidirect
24. #13117491C2semidirect
25. #13117477C2semidirect
26. #13117473C2semidirect
27. #13117466C2semidirect
28. #13117462C2semidirect
29. #13117214C2semidirect
30. C2×#11718604C2semidirect
31. C13×#2321C2semidirect
46. #11719291C4semidirect
75. #11718874C22semidirect
77. #11718871C22semidirect
79. C4×C22⋊Dic13C22semidirect
84. C2×#88071C22semidirect
85. #11718651C22semidirect
86. #11718650C22semidirect
87. #11718648C22semidirect
88. #11718639C22semidirect
89. #11718639C22semidirect
90. #11718639C22semidirect
91. #11718638C22semidirect
92. C4⋊C4×Dic13C22semidirect
93. C4⋊C4×Dic13C22semidirect
94. #11718635C22semidirect
95. #11718634C22semidirect
96. #11718633C22semidirect
98. #11718619C22semidirect
107. #11718617C22semidirect
108. #11718617C22semidirect
115. #11718607C22semidirect
120. #11718606C22semidirect
121. #11718606C22semidirect
126. #11718605C22semidirect
127. #11718605C22semidirect
138. #11718604C22semidirect
143. #11718603C22semidirect
150. C22⋊C4×Dic13C22semidirect
151. C22⋊C4×Dic13C22semidirect
152. #11718601C22semidirect
153. C4×#6103C22semidirect
154. C4×#6103C22semidirect
155. C4×C4⋊Dic13C22semidirect
156. #11718594C22semidirect
157. #11718594C22semidirect
158. #11718594C22semidirect
159. #11718593C22semidirect
160. C4×#6101C22semidirect
161. C4×#6101C22semidirect
162. #11718590C22semidirect
163. #11718589C22semidirect
164. #11718331C22semidirect
165. #11718330C22semidirect
166. #11718329C22semidirect
167. #11718327C22semidirect
168. #11718325C22semidirect
169. D13×#95C22semidirect
170. #11718316C22semidirect
171. #11718316C22semidirect
172. #11718316C22semidirect
173. #11718315C22semidirect
174. #11718315C22semidirect
175. #11718314C22semidirect
176. #11718314C22semidirect
177. #11718313C22semidirect
178. #11718313C22semidirect
179. #11718313C22semidirect
180. #11718312C22semidirect
181. #11718312C22semidirect
182. #11718311C22semidirect
183. #11718310C22semidirect
184. #11718309C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
201. C23×Dic13C2×C4semidirect
219. C13×#120C2×C4semidirect
244. #88207C2×C4semidirect
264. #88193C2×C4semidirect
265. #88193C2×C4semidirect
266. #88189C2×C4semidirect
268. D4×Dic13C2×C4semidirect
269. D4×Dic13C2×C4semidirect
313. #88140C2×C4semidirect
315. #88135C2×C4semidirect
316. #88135C2×C4semidirect
317. #88132C2×C4semidirect
318. #88132C2×C4semidirect
321. #88131C2×C4semidirect
589. #2321D13semidirect
1004. #120C4×D13semidirect
1354. C13#34396semidirect

Maximal subgroups

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

subgroupindex
C2×#117192912
#131180032
#131179962
#131179942
#131179872
#131178342
#131178302
#131178262
#131178222
#131178082
#131178062
#131177742
#131177712
#131176942
#131176902
#131176622
#131176612
#131176022
#131175952
#131175932
#131175862
#131174972
#131174942
#131174912
#131174772
#131174732
#131174662
#131174622
#131172142
C2×#117186042
C13×#23212
#3439613