Finite Group Databasebeta

← #16036823

Subgroups — #16036823

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123151C211yesmaximal, characteristic, complemented
2#13123137C211yesmaximal, characteristic, complemented
3#13123128C211yesmaximal, characteristic, complemented
4#13123118C211yesmaximal, characteristic, complemented
5#13121006C211yesmaximal, characteristic, complemented
6#13120962C211yesmaximal, characteristic, complemented
7#13120893C211yesmaximal, characteristic, complemented
8#13120818C211yesmaximal, characteristic, complemented
9#13120170C211yesmaximal, characteristic, complemented
10#13120140C211yesmaximal, characteristic, complemented
11#13120110C211yesmaximal, characteristic, complemented
12#13120080C211yesmaximal, characteristic, complemented
13#13119965C211yesmaximal, characteristic, complemented
14#13119935C211yesmaximal, characteristic, complemented
15#13119905C211yesmaximal, characteristic, complemented
16#13119896C211yesmaximal, characteristic, complemented
17#13119396C211yesmaximal, characteristic, complemented
18#13118956C211yesmaximal, characteristic, complemented
19#13118586C211yesmaximal, characteristic, complemented
20#13118512C211yesmaximal, characteristic, complemented
21#13118446C211yesmaximal, characteristic, complemented
22#13118372C211yesmaximal, characteristic, complemented
23#13118221C211yesmaximal, characteristic, complemented
24#13118155C211yesmaximal, characteristic, complemented
25#13117644C211yesmaximal, characteristic, complemented
26#13117626C211yesmaximal, characteristic, complemented
27#13117601C211yesmaximal, characteristic, complemented
28#13117596C211yesmaximal, characteristic, complemented
29C4×#88183C211yesmaximal, characteristic, complemented
30#13117326C211yesmaximal, characteristic, complemented
31C2×C4×C13×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C22×#6127C2211yescharacteristic
34C22×C13×C22⋊C4C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C42×C13C2211yescharacteristic
37C22×C42×C13C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C2×#88207C2211yescharacteristic
40C2×#88207C2211yescharacteristic
41C2×#88184C2211yescharacteristic
42C2×#88184C2211yescharacteristic
43C2×#88184C2211yescharacteristic
44C2×#88184C2211yescharacteristic
45C2×#88183C2211yescharacteristic
46C2×#88183C2211yescharacteristic
47C2×#88183C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic
49C2×#88180C2211yescharacteristic
50C2×#88178C2211yescharacteristic
51C2×#88139C2211yescharacteristic
52C2×#88138C2211yescharacteristic
53C2×#88130C2211yescharacteristic, complemented
54C2×#88129C2211yescharacteristic, complemented
55C4×C13×C22⋊C4C2211yescharacteristic
56C4×C13×C22⋊C4C2211yescharacteristic
57C4×C13×C22⋊C4C2211yescharacteristic
58C4×C13×C22⋊C4C2211yescharacteristic
59C4×C13×C22⋊C4C2211yescharacteristic
60C4×C13×C22⋊C4C2211yescharacteristic
61C4×C13×C22⋊C4C2211yescharacteristic
62C4×C13×C22⋊C4C2211yescharacteristic
63C2×C13×#95C2211yescharacteristic
64C2×C13×#95C2211yescharacteristic
65#11718908C2211yescharacteristic
66#11718874C2211yescharacteristic
67#11718874C2211yescharacteristic
68#11718874C2211yescharacteristic
69#11718874C2211yescharacteristic
70#11718874C2211yescharacteristic
71#11718874C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718874C2211yescharacteristic
74#11718874C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718874C2211yescharacteristic
78#11718874C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718874C2211yescharacteristic
81#11718874C2211yescharacteristic
82#11718873C2211yescharacteristic
83#11718873C2211yescharacteristic
84#11718873C2211yescharacteristic
85#11718872C2211yescharacteristic
86#11718872C2211yescharacteristic
87#11718872C2211yescharacteristic
88#11718871C2211yescharacteristic
89#11718871C2211yescharacteristic
90#11718871C2211yescharacteristic
91#11718871C2211yescharacteristic
92#11718871C2211yescharacteristic
93#11718871C2211yescharacteristic
94C4×C22⋊Dic13C2211yescharacteristic
95#11718622C2211yescharacteristic
96#11718622C2211yescharacteristic
97#11718622C2211yescharacteristic
98#11718621C2211yescharacteristic
99#11718621C2211yescharacteristic
100#11718621C2211yescharacteristic
101#11718620C2211yescharacteristic
102#11718620C2211yescharacteristic
103#11718620C2211yescharacteristic
104#11718618C2211yescharacteristic
105#11718618C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718618C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic
112#11718617C2211yescharacteristic
113#11718613C2211yescharacteristic
114#11718612C2211yescharacteristic
115#11718612C2211yescharacteristic
116#11718609C2211yescharacteristic
117#11718609C2211yescharacteristic
118#11718609C2211yescharacteristic
119#11718608C2211yescharacteristic
120#11718608C2211yescharacteristic
121#11718608C2211yescharacteristic
122#11718606C2211yescharacteristic
123#11718606C2211yescharacteristic
124#11718605C2211yescharacteristic
125#11718601C2211yescharacteristic, complemented
126#11718601C2211yescharacteristic, complemented
127#11718601C2211yescharacteristic, complemented
128#11718601C2211yescharacteristic, complemented
129#11718601C2211yescharacteristic, complemented
130#11718601C2211yescharacteristic, complemented
131#11718601C2211yescharacteristic, complemented
132#11718601C2211yescharacteristic, complemented
133#11718601C2211yescharacteristic, complemented
134#11718600C2211yescharacteristic, complemented
135#11718600C2211yescharacteristic, complemented
136#11718600C2211yescharacteristic, complemented
137C4×#6103C2211yescharacteristic, complemented
138C4×#6103C2211yescharacteristic, complemented
139C4×#6103C2211yescharacteristic, complemented
140C4×#6103C2211yescharacteristic, complemented
141C4×#6103C2211yescharacteristic, complemented
142C4×#6103C2211yescharacteristic, complemented
143#11718598C2211yescharacteristic, complemented
144#11718597C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147#11718594C2211yescharacteristic, complemented
148#11718594C2211yescharacteristic, complemented
149#11718594C2211yescharacteristic, complemented
150C4×#6101C2211yescharacteristic, complemented
151C4×#6101C2211yescharacteristic, complemented
152#11718590C2211yescharacteristic, complemented
153#11718590C2211yescharacteristic, complemented
154#11718590C2211yescharacteristic, complemented
155#11718336C2211yescharacteristic, complemented
156#11718336C2211yescharacteristic, complemented
157#11718336C2211yescharacteristic, complemented
158#11718335C2211yescharacteristic, complemented
159#11718334C2211yescharacteristic, complemented
160#11718333C2211yescharacteristic, complemented
161#11718333C2211yescharacteristic, complemented
162#11718332C2211yescharacteristic, complemented
163#11718331C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718330C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718325C2211yescharacteristic, complemented
172C13⋊#401C2211yescharacteristic, complemented
173#11718322C2211yescharacteristic, complemented
174#11718321C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718317C2211yescharacteristic, complemented
179#11718317C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718315C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C23×C4×C13—24no—
189C23×C4×C13—42no—
190C23×C4×C13—42no—
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C22×C22⋊D13C2311yescharacteristic
210C2×#6127—24no—
211C2×#6127—42no—
212C2×#6127—42no—
213C22×D52C2311yescharacteristic
214C22×D52C2311yescharacteristic
215C22×D52C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×Dic26C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C2×C13×C22⋊C4—24no—
222C2×C13×C22⋊C4—24no—
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×C13—42no—
232C2×C42×C13—42no—
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241#88207—42no—
242#88207—42no—
243#88207—42no—
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259#88184—24no—
260#88184—42no—
261#88184—42no—
262#88184—42no—
263#88183—24no—
264#88183—24no—
265#88183—42no—
266C4×C22⋊D13—42no—
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294#88180—42no—
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302#88178—42no—
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321#88139—24no—
322#88138—24no—
323#88130—42no—
324#88129—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
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#35053—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C22×C4×C13—22no—
384C22×C4×C13—22no—
385C22×C4×C13—22no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—416no—
412C22×C4×C13#4114yes—
413C22×C4×C13#4114yescomplemented
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—22no—
437C2×C22⋊D13—22no—
438C2×C22⋊D13—22no—
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C2×C22⋊D13—41no—
446C2×C22⋊D13—41no—
447C2×C22⋊D13—41no—
448C2×C22⋊D13—41no—
449C2×C22⋊D13—41no—
450C2×C22⋊D13—41no—
451C2×C22⋊D13—41no—
452C2×C22⋊D13—41no—
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466#6127—416no—
467C2×D52—22no—
468C2×D52—22no—
469C2×D52—22no—
470C2×D52—41no—
471C2×D52—41no—
472C2×D52—41no—
473C2×D52—41no—
474C2×D52—41no—
475C2×D52—41no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×Dic26—22no—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4#4114yescomplemented
499C42×C13—22no—
500C42×C13—22no—
501C42×C13—41no—
502C42×C13—41no—
503C42×C13—41no—
504C42×C13—41no—
505C42×C13—41no—
506C42×C13—41no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549C4⋊Dic13—22no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553C4⋊Dic13—41no—
554C4⋊Dic13—41no—
555C4⋊Dic13—41no—
556#6101—22no—
557#6101—22no—
558#6101—22no—
559#6101—22no—
560#6101—22no—
561#6101—22no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566#6101—41no—
567#6101—41no—
568#6101—41no—
569C4×Dic13—22no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2852—131no—
575#2850—131no—
576#2849—131no—
577#2847—131no—
578#2665—131no—
579#2661—131no—
580#2653—131no—
581#2648—131no—
582#2578—131no—
583#2576—131no—
584#2574—131no—
585#2572—131no—
586#2559—131no—
587#2557—131no—
588#2555—131no—
589#2554—131no—
590#2510—131no—
591#2472—131no—
592#2444—131no—
593#2438—131no—
594#2430—131no—
595#2424—131no—
596#2411—131no—
597#2404—131no—
598#2337—131no—
599#2335—131no—
600#2333—131no—
601#2333—131no—
602C4×#123—131no—
603#2297—131no—
604C2×C4×C22⋊C4D1311yescharacteristic, complemented
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—28no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—44no—
623C23×C13—44no—
624C23×C13—44no—
625C23×C13—44no—
626C23×C13—44no—
627C23×C13—44no—
628C23×C13C2×#4112yes—
629C23×C13C2×#4112yes—
630C23×C13C2×#4112yes—
631C23×C13H(5,𝔽2)12yes—
632C23×C13H(5,𝔽2)12yes—
633C23×C13C2511yescharacteristic
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C2×C4×C13—28no—
656C2×C4×C13—28no—
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—44no—
687C2×C4×C13—44no—
688C2×C4×C13—44no—
689C2×C4×C13—44no—
690C2×C4×C13—44no—
691C2×C4×C13—44no—
692C2×C4×C13—44no—
693C2×C4×C13—44no—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13C2×#4112yes—
696C2×C4×C13C2×#4112yes—
697C2×C4×C13C2×#4112yes—
698C2×C4×C13C2×#4112yes—
699C2×C4×C13C2×#4112yes—
700C2×C4×C13H(5,𝔽2)12yes—
701C22⋊D13—44no—
702C22⋊D13—44no—
703C22⋊D13—44no—
704C22⋊D13—82no—
705C22⋊D13—82no—
706C22⋊D13—82no—
707C22⋊D13—82no—
708C22⋊D13—82no—
709C22⋊D13—82no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749D52—44no—
750D52—82no—
751D52—82no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—82no—
755Dic26—44no—
756Dic26—82no—
757C22×#41—131no—
758C24×C4C2×D1311yescharacteristic
759C2×#126—131no—
760C2×#124—131no—
761C2×#124—131no—
762C2×#123—131no—
763C2×#123—131no—
764C2×#123—131no—
765C2×C22⋊Q8—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×#117—131no—
776C22×C22⋊C4C2×D1311yescharacteristic
777C22×C22⋊C4C2×D1311yescharacteristic
778C22×C42C2×D1311yescharacteristic
779C22×C42C2×D1311yescharacteristic
780#401—131no—
781#400—131no—
782#400—131no—
783#400—131no—
784#398—131no—
785#398—131no—
786#397—131no—
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#396—131no—
792#396—131no—
793#396—131no—
794#395—131no—
795#395—131no—
796#394—131no—
797#394—131no—
798#394—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#393—131no—
805#393—131no—
806#393—131no—
807#393—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#392—131no—
812#391—131no—
813#391—131no—
814#391—131no—
815#391—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#390—131no—
822#390—131no—
823#389—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#386—131no—
851#386—131no—
852#386—131no—
853#386—131no—
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#383—131no—
883#383—131no—
884#382—131no—
885#381—131no—
886#381—131no—
887#381—131no—
888#381—131no—
889#380—131no—
890#380—131no—
891#380—131no—
892#379—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4—131no—
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⋊C4C2×D1311yescharacteristic
903C4×C22⋊C4C2×D1311yescharacteristic
904C4×C22⋊C4C2×D1311yescharacteristic
905C4×C22⋊C4C2×D1311yescharacteristic
906C4×C22⋊C4C2×D1311yescharacteristic
907C4×C22⋊C4C2×D1311yescharacteristic
908C4×C22⋊C4C2×D1311yescharacteristic
909C4×C22⋊C4C2×D1311yescharacteristic
910C2×#95C2×D1311yescharacteristic
911C2×#95C2×D1311yescharacteristic
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—416no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13#53814yes—
934C22×C13C22×#4111yescharacteristic
935C22×C13C22×#4111yescharacteristic
936C22×C13C22×#4111yescharacteristic
937C22×C13C2×H(5,𝔽2)11yescharacteristic
938C22×C13C2×H(5,𝔽2)11yescharacteristic
939C22×C13C2×H(5,𝔽2)11yescharacteristic
940C22×C13#58511yescharacteristic
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—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13—41no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—22no—
966C4×C13—22no—
967C4×C13—22no—
968C4×C13—22no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25C22×D1311yescharacteristic
988C2×#41—264no—
989C2×#41—522no—
990C2×#41—522no—
991C22×Q8—131no—
992C22×Q8—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4—131no—
1003C22×D4—131no—
1004C22×D4—131no—
1005C23×C4—24no—
1006C23×C4—42no—
1007C23×C4—42no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013C23×C4C22×D1311yescharacteristic
1014C23×C4C22×D1311yescharacteristic
1015C23×C4C22×D1311yescharacteristic
1016C23×C4C22×D1311yescharacteristic
1017C23×C4C22×D1311yescharacteristic
1018C23×C4C22×D1311yescharacteristic
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021#126—522no—
1022#124—264no—
1023#124—522no—
1024#123—264no—
1025#123—264no—
1026#123—522no—
1027C22⋊Q8—522no—
1028#121—264no—
1029#121—264no—
1030#121—522no—
1031#121—522no—
1032#121—522no—
1033#120—522no—
1034#120—522no—
1035#120—522no—
1036C4×D4—522no—
1037#117—522no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42C22×D1311yescharacteristic
1118C2×C42C22×D1311yescharacteristic
1119C2×C42C22×D1311yescharacteristic
1120C2×C42C22×D1311yescharacteristic
1121C2×C42C22×D1311yescharacteristic
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
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#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169C2×C13—24no—
1170C2×C13—42no—
1171C2×C13—42no—
1172C2×C13#344411yescharacteristic
1173C2×C13C2×#53811yescharacteristic
1174C2×C13#346011yescharacteristic
1175C2×C13#349011yescharacteristic
1176C2×C13#349411yescharacteristic
1177C2×C13#351311yescharacteristic
1178C2×C13#351911yescharacteristic
1179D13—81no—
1180D13—81no—
1181D13—81no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—41no—
1188C24—41no—
1189C24—131no—
1190C24—131no—
1191C24—131no—
1192C24C23×D1311yescharacteristic
1193C24C23×D1311yescharacteristic
1194C24C23×D1311yescharacteristic
1195#41—5216no—
1196C2×Q8—262no—
1197C2×Q8—262no—
1198C2×Q8—521no—
1199C2×Q8—521no—
1200C2×Q8—521no—
1201C2×Q8—521no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—262no—
1208C2×D4—262no—
1209C2×D4—262no—
1210C2×D4—262no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—521no—
1221C2×D4—521no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—416no—
1267C22×C4—131no—
1268C22×C4—131no—
1269C22×C4—131no—
1270C22×C4—131no—
1271C22×C4—131no—
1272C22×C4—131no—
1273C22×C4—131no—
1274C22×C4—131no—
1275C22×C4—131no—
1276C22×C4—131no—
1277C22×C4—131no—
1278C22×C4—131no—
1279C22×C4—131no—
1280C22×C4—262no—
1281C22×C4—262no—
1282C22×C4—262no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4#612714yes—
1290C22×C4#612714yescomplemented
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—262no—
1304C4⋊C4—262no—
1305C4⋊C4—262no—
1306C4⋊C4—262no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—262no—
1331C22⋊C4—262no—
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—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
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⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4#612714yescomplemented
1373C42—22no—
1374C42—22no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—262no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C13#3505311yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23C2×#612712yes—
1432C23C2×#612712yes—
1433C23C2×#612712yes—
1434C23#8825112yes—
1435C23#8825612yes—
1436C23C24×D1311yescharacteristic
1437Q8—524no—
1438Q8—1042no—
1439D4—524no—
1440D4—524no—
1441D4—524no—
1442D4—524no—
1443D4—1042no—
1444D4—1042no—
1445D4—1042no—
1446D4—1042no—
1447D4—1042no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
1451C2×C4—28no—
1452C2×C4—28no—
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—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
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—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—1042no—
1532C2×C4C2×#612712yes—
1533C2×C4C2×#612712yes—
1534C2×C4C2×#612712yes—
1535C2×C4C2×#612712yes—
1536C2×C4C2×#612712yes—
1537C2×C4C2×#612712yes—
1538C2×C4#8825112yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—521no—
1561C22—521no—
1562C22—521no—
1563C22—521no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22#1171926514yes—
1582C22C22×#612711yescharacteristic
1583C22C22×#612711yescharacteristic
1584C22C22×#612711yescharacteristic
1585C22C2×#8825111yescharacteristic
1586C22C2×#8825111yescharacteristic
1587C22C2×#8825611yescharacteristic
1588C22#1171964811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—1041no—
1618C2—1041no—
1619C2—1041no—
1620C2#1312813211yescharacteristic
1621C2C2×#1171926511yescharacteristic
1622C2#1312825811yescharacteristic
1623C2#1312852511yescharacteristic
1624C2#1312857111yescharacteristic
1625C2#1312877611yescharacteristic
1626C2#1312886811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC2×C4×C13×C22⋊C4C2
hypercenterC2×C4×C22⋊C4D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #13123151C2semidirect
2. #13123137C2semidirect
3. #13123128C2semidirect
4. #13123118C2semidirect
5. #13121006C2semidirect
6. #13120962C2semidirect
7. #13120893C2semidirect
8. #13120818C2semidirect
9. #13120170C2semidirect
10. #13120140C2semidirect
11. #13120110C2semidirect
12. #13120080C2semidirect
13. #13119965C2semidirect
14. #13119935C2semidirect
15. #13119905C2semidirect
16. #13119896C2semidirect
17. #13119396C2semidirect
18. #13118956C2semidirect
19. #13118586C2semidirect
20. #13118512C2semidirect
21. #13118446C2semidirect
22. #13118372C2semidirect
23. #13118221C2semidirect
24. #13118155C2semidirect
25. #13117644C2semidirect
26. #13117626C2semidirect
27. #13117601C2semidirect
28. #13117596C2semidirect
29. C4×#88183C2semidirect
30. #13117326C2semidirect
31. C2×C4×C13×C22⋊C4C2semidirect
53. C2×#88130C22semidirect
54. C2×#88129C22semidirect
125. #11718601C22semidirect
126. #11718601C22semidirect
127. #11718601C22semidirect
128. #11718601C22semidirect
129. #11718601C22semidirect
130. #11718601C22semidirect
131. #11718601C22semidirect
132. #11718601C22semidirect
133. #11718601C22semidirect
134. #11718600C22semidirect
135. #11718600C22semidirect
136. #11718600C22semidirect
137. C4×#6103C22semidirect
138. C4×#6103C22semidirect
139. C4×#6103C22semidirect
140. C4×#6103C22semidirect
141. C4×#6103C22semidirect
142. C4×#6103C22semidirect
143. #11718598C22semidirect
144. #11718597C22semidirect
145. #11718594C22semidirect
146. #11718594C22semidirect
147. #11718594C22semidirect
148. #11718594C22semidirect
149. #11718594C22semidirect
150. C4×#6101C22semidirect
151. C4×#6101C22semidirect
152. #11718590C22semidirect
153. #11718590C22semidirect
154. #11718590C22semidirect
155. #11718336C22semidirect
156. #11718336C22semidirect
157. #11718336C22semidirect
158. #11718335C22semidirect
159. #11718334C22semidirect
160. #11718333C22semidirect
161. #11718333C22semidirect
162. #11718332C22semidirect
163. #11718331C22semidirect
164. #11718330C22semidirect
165. #11718330C22semidirect
166. #11718329C22semidirect
167. #11718329C22semidirect
168. #11718326C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
171. #11718325C22semidirect
172. C13⋊#401C22semidirect
173. #11718322C22semidirect
174. #11718321C22semidirect
175. #11718321C22semidirect
176. #11718321C22semidirect
177. #11718318C22semidirect
178. #11718317C22semidirect
179. #11718317C22semidirect
180. #11718316C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718315C22semidirect
184. #11718312C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
413. C22×C4×C13#41semidirect
498. C13×C22⋊C4#41semidirect
604. C2×C4×C22⋊C4D13semidirect
1290. C22×C4#6127semidirect
1372. C22⋊C4#6127semidirect
1386. C13#35053semidirect

Maximal subgroups

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

subgroupindex
#131231512
#131231372
#131231282
#131231182
#131210062
#131209622
#131208932
#131208182
#131201702
#131201402
#131201102
#131200802
#131199652
#131199352
#131199052
#131198962
#131193962
#131189562
#131185862
#131185122
#131184462
#131183722
#131182212
#131181552
#131176442
#131176262
#131176012
#131175962
C4×#881832
#131173262
C2×C4×C13×C22⋊C42
#3505313