Finite Group Databasebeta

← #16071347

Subgroups — #16071347

Order 3328.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 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#13122499C211yesmaximal, characteristic, complemented
4#13122494C211yesmaximal, characteristic, complemented
5#13122449C211yesmaximal, characteristic, complemented
6#13122269C211yesmaximal, characteristic, complemented
7#13122261C211yesmaximal, characteristic, complemented
8#13122221C211yesmaximal, characteristic, complemented
9#13122153C211yesmaximal, characteristic, complemented
10#13122054C211yesmaximal, characteristic, complemented
11#13121976C211yesmaximal, characteristic, complemented
12#13121952C211yesmaximal, characteristic, complemented
13#13121874C211yesmaximal, characteristic, complemented
14#13121872C211yesmaximal, characteristic, complemented
15#13121833C211yesmaximal, characteristic, complemented
16#13121465C211yesmaximal, characteristic, complemented
17#13121230C211yesmaximal, characteristic, complemented
18#13121217C211yesmaximal, characteristic, complemented
19#13120616C211yesmaximal, characteristic, complemented
20#13120578C211yesmaximal, characteristic, complemented
21#13119396C211yesmaximal, characteristic, complemented
22#13119162C211yesmaximal, characteristic, complemented
23#13118586C211yesmaximal, characteristic, complemented
24#13118497C211yesmaximal, characteristic, complemented
25#13118387C211yesmaximal, characteristic, complemented
26#13118232C211yesmaximal, characteristic, complemented
27#13118204C211yesmaximal, characteristic
28#13118163C211yesmaximal, characteristic, complemented
29#13117494C211yesmaximal, characteristic, complemented
30#13117411C211yesmaximal, characteristic, complemented
31C2×C13×#388C211yesmaximal, characteristic, complemented
32C23×C22⋊D13C2211yescharacteristic
33C22×C13×C4⋊C4C2211yescharacteristic, complemented
34C22×C13×C22⋊C4C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C22×C42×C13C2211yescharacteristic, complemented
38C2×#88207C2211yescharacteristic
39C22×C22⋊Dic13C2211yescharacteristic
40C2×#88184C2211yescharacteristic
41C2×#88184C2211yescharacteristic
42C2×#88183C2211yescharacteristic
43C2×#88183C2211yescharacteristic
44C2×#88183C2211yescharacteristic, complemented
45C2×C4×C22⋊D13C2211yescharacteristic, complemented
46C2×#88178C2211yescharacteristic, complemented
47C2×#88136C2211yescharacteristic
48C2×#88132C2211yescharacteristic, complemented
49C2×#88130C2211yescharacteristic, complemented
50C2×#88129C2211yescharacteristic, complemented
51C13×#388C2211yescharacteristic
52C13×#388C2211yescharacteristic
53C13×#388C2211yescharacteristic
54C13×#388C2211yescharacteristic
55C13×#388C2211yescharacteristic, complemented
56C13×#388C2211yescharacteristic, complemented
57C13×#388C2211yescharacteristic, complemented
58C13×#388C2211yescharacteristic, complemented
59C2×C13×#95C2211yescharacteristic, complemented
60C2×C13×#95C2211yescharacteristic, complemented
61#11718908C2211yescharacteristic
62#11718874C2211yescharacteristic
63#11718874C2211yescharacteristic
64#11718874C2211yescharacteristic
65#11718874C2211yescharacteristic
66#11718874C2211yescharacteristic
67#11718874C2211yescharacteristic
68#11718874C2211yescharacteristic
69#11718874C2211yescharacteristic
70#11718874C2211yescharacteristic, complemented
71#11718874C2211yescharacteristic, complemented
72#11718873C2211yescharacteristic, complemented
73#11718872C2211yescharacteristic, complemented
74#11718871C2211yescharacteristic, complemented
75#11718871C2211yescharacteristic, complemented
76#11718871C2211yescharacteristic, complemented
77#11718871C2211yescharacteristic, complemented
78C4×C22⋊Dic13C2211yescharacteristic, complemented
79#11718655C2211yescharacteristic, complemented
80#11718655C2211yescharacteristic, complemented
81#11718655C2211yescharacteristic, complemented
82#11718655C2211yescharacteristic, complemented
83#11718654C2211yescharacteristic, complemented
84#11718654C2211yescharacteristic, complemented
85#11718653C2211yescharacteristic, complemented
86#11718653C2211yescharacteristic, complemented
87#11718652C2211yescharacteristic, complemented
88#11718652C2211yescharacteristic, complemented
89#11718644C2211yescharacteristic, complemented
90#11718644C2211yescharacteristic, complemented
91#11718643C2211yescharacteristic, complemented
92#11718643C2211yescharacteristic, complemented
93#11718641C2211yescharacteristic, complemented
94#11718641C2211yescharacteristic, complemented
95#11718622C2211yescharacteristic
96#11718622C2211yescharacteristic
97#11718621C2211yescharacteristic
98#11718621C2211yescharacteristic
99#11718620C2211yescharacteristic
100#11718620C2211yescharacteristic
101#11718620C2211yescharacteristic
102#11718620C2211yescharacteristic
103#11718620C2211yescharacteristic
104#11718620C2211yescharacteristic
105#11718619C2211yescharacteristic
106#11718619C2211yescharacteristic
107#11718619C2211yescharacteristic
108#11718619C2211yescharacteristic
109#11718619C2211yescharacteristic
110#11718619C2211yescharacteristic, complemented
111#11718619C2211yescharacteristic, complemented
112#11718618C2211yescharacteristic
113#11718618C2211yescharacteristic, complemented
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic, complemented
116#11718616C2211yescharacteristic
117#11718616C2211yescharacteristic
118#11718616C2211yescharacteristic
119#11718616C2211yescharacteristic
120#11718616C2211yescharacteristic
121#11718613C2211yescharacteristic
122#11718613C2211yescharacteristic
123#11718611C2211yescharacteristic
124#11718611C2211yescharacteristic, complemented
125#11718610C2211yescharacteristic
126#11718609C2211yescharacteristic
127#11718609C2211yescharacteristic
128#11718608C2211yescharacteristic
129#11718607C2211yescharacteristic
130#11718607C2211yescharacteristic
131#11718607C2211yescharacteristic, complemented
132#11718606C2211yescharacteristic
133#11718606C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic
135#11718605C2211yescharacteristic, complemented
136#11718604C2211yescharacteristic
137#11718604C2211yescharacteristic
138#11718603C2211yescharacteristic, complemented
139#11718603C2211yescharacteristic, complemented
140#11718603C2211yescharacteristic, complemented
141#11718601C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143#11718601C2211yescharacteristic, complemented
144#11718601C2211yescharacteristic, complemented
145#11718601C2211yescharacteristic, complemented
146#11718601C2211yescharacteristic, complemented
147#11718601C2211yescharacteristic, complemented
148#11718600C2211yescharacteristic, complemented
149#11718598C2211yescharacteristic, complemented
150#11718597C2211yescharacteristic, complemented
151#11718594C2211yescharacteristic, complemented
152#11718594C2211yescharacteristic, complemented
153#11718594C2211yescharacteristic, complemented
154#11718590C2211yescharacteristic, complemented
155#11718337C2211yescharacteristic, complemented
156#11718336C2211yescharacteristic, complemented
157#11718336C2211yescharacteristic, complemented
158#11718336C2211yescharacteristic, complemented
159#11718336C2211yescharacteristic, complemented
160#11718336C2211yescharacteristic, complemented
161#11718335C2211yescharacteristic, complemented
162#11718334C2211yescharacteristic, complemented
163#11718333C2211yescharacteristic, complemented
164#11718333C2211yescharacteristic, complemented
165#11718331C2211yescharacteristic, complemented
166#11718331C2211yescharacteristic, complemented
167#11718330C2211yescharacteristic, complemented
168#11718330C2211yescharacteristic, complemented
169#11718330C2211yescharacteristic, complemented
170#11718330C2211yescharacteristic, complemented
171#11718328C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175C13⋊#401C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13—24no—
196C22×C22⋊D13—42no—
197C22×C22⋊D13—42no—
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C22×D52C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×Dic26C2311yescharacteristic
212C2×C13×C4⋊C4—42no—
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C22⋊C4—24no—
218C2×C13×C22⋊C4—42no—
219C2×C13×C22⋊C4—42no—
220C2×C13×C22⋊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×C13×C22⋊C4C2311yescharacteristic
232C2×C42×C13—42no—
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237#88207—24no—
238C2×C22⋊Dic13—42no—
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252#88184—42no—
253#88184—42no—
254#88183—42no—
255#88183—42no—
256#88183—42no—
257C4×C22⋊D13—42no—
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×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294#88178—42no—
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315#88136—42no—
316#88132—42no—
317#88130—42no—
318#88129—42no—
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327#88071C2311yescharacteristic
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#36779—131nomaximal, Sylow
364C24×C13—22no—
365C24×C13—22no—
366C24×C13—41no—
367C24×C13—41no—
368C24×C13—41no—
369C24×C13—41no—
370C24×C13#4114yes—
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C24×C13C2411yescharacteristic
374C23×D13—22no—
375C23×D13—41no—
376C23×D13—41no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13—41no—
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C23×D13C2411yescharacteristic
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—41no—
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×C13—41no—
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13—41no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—416no—
436C22×Dic13—22no—
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×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C2×D52—22no—
459C2×D52—41no—
460C2×D52—41no—
461C2×D52—41no—
462C2×D52—41no—
463C2×D52—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×C4×D13—41no—
467C2×Dic26—22no—
468C2×Dic26—41no—
469C2×Dic26—41no—
470C13×C4⋊C4—41no—
471C13×C4⋊C4—41no—
472C13×C4⋊C4—41no—
473C13×C4⋊C4—41no—
474C13×C22⋊C4—22no—
475C13×C22⋊C4—22no—
476C13×C22⋊C4—22no—
477C13×C22⋊C4—22no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—41no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4—41no—
483C13×C22⋊C4—41no—
484C13×C22⋊C4—41no—
485C13×C22⋊C4—41no—
486C42×C13—22no—
487C42×C13—22no—
488C42×C13—41no—
489C42×C13—41no—
490C22⋊Dic13—22no—
491C22⋊Dic13—22no—
492C22⋊Dic13—22no—
493C22⋊Dic13—22no—
494C22⋊Dic13—22no—
495C22⋊Dic13—22no—
496C22⋊Dic13—22no—
497C22⋊Dic13—41no—
498C22⋊Dic13—41no—
499C22⋊Dic13—41no—
500C22⋊Dic13—41no—
501C22⋊Dic13—41no—
502C22⋊Dic13—41no—
503#6103—22no—
504#6103—41no—
505#6103—41no—
506#6103—41no—
507#6103—41no—
508#6103—41no—
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#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534C4⋊Dic13—41no—
535C4⋊Dic13—41no—
536C4⋊Dic13—41no—
537C4⋊Dic13—41no—
538C4⋊Dic13—41no—
539#6101—22no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544#6101—41no—
545#6101—41no—
546#6101—41no—
547#6101—41no—
548#6101—41no—
549#6101—41no—
550#6101—41no—
551#6101—41no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556C4×Dic13—41no—
557C4×Dic13—41no—
558C4×Dic13—41no—
559#2852—131no—
560#2850—131no—
561#2781—131no—
562#2781—131no—
563#2778—131no—
564#2765—131no—
565#2764—131no—
566#2761—131no—
567#2756—131no—
568#2749—131no—
569#2743—131no—
570#2741—131no—
571#2735—131no—
572#2735—131no—
573#2730—131no—
574#2702—131no—
575#2685—131no—
576#2684—131no—
577#2623—131no—
578#2618—131no—
579#2510—131no—
580#2488—131no—
581#2444—131no—
582#2437—131no—
583#2425—131no—
584#2412—131no—
585#2410—131no—
586#2405—131no—
587#2321—131no—
588#2308—131no—
589C2×#388D1311yescharacteristic, complemented
590C23×C13—21no—
591C23×C13—21no—
592C23×C13—21no—
593C23×C13—21no—
594C23×C13—21no—
595C23×C13—21no—
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—28no—
607C23×C13—44no—
608C23×C13—44no—
609C23×C13—82no—
610C23×C13—82no—
611C23×C13—82no—
612C23×C13—82no—
613C23×C13C2×#4112yes—
614C23×C13C2×#4112yes—
615C23×C13C2×#4112yes—
616C23×C13H(5,𝔽2)12yes—
617C23×C13H(5,𝔽2)12yes—
618C23×C13C2511yescharacteristic
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—44no—
641C22×D13—82no—
642C22×D13—82no—
643C22×D13—82no—
644C22×D13—82no—
645C22×D13—82no—
646C22×D13—82no—
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—21no—
682C2×C4×C13—44no—
683C2×C4×C13—44no—
684C2×C4×C13—44no—
685C2×C4×C13—44no—
686C2×C4×C13—82no—
687C2×C4×C13—82no—
688C2×C4×C13H(5,𝔽2)12yes—
689C22⋊D13—44no—
690C22⋊D13—44no—
691C22⋊D13—44no—
692C22⋊D13—44no—
693C22⋊D13—44no—
694C22⋊D13—82no—
695C22⋊D13—82no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—44no—
736C2×Dic13—82no—
737C2×Dic13—82no—
738D52—82no—
739D52—82no—
740C4×D13—82no—
741Dic26—82no—
742C23×D4—131no—
743C2×#126—131no—
744C2×#124—131no—
745C2×#123—131no—
746C2×#123—131no—
747C2×#123—131no—
748C2×C22⋊Q8—131no—
749C2×C22⋊Q8—131no—
750C2×#121—131no—
751C2×#121—131no—
752C2×#120—131no—
753C2×#120—131no—
754C2×C4×D4—131no—
755C22×C4⋊C4C2×D1311yescharacteristic, complemented
756C22×C22⋊C4—131no—
757C22×C22⋊C4C2×D1311yescharacteristic
758C22×C22⋊C4C2×D1311yescharacteristic
759C22×C22⋊C4C2×D1311yescharacteristic
760C22×C42C2×D1311yescharacteristic, complemented
761#401—131no—
762#400—131no—
763#400—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400—131no—
768#399—131no—
769#399—131no—
770#399—131no—
771#398—131no—
772#398—131no—
773#398—131no—
774#398—131no—
775#398—131no—
776#397—131no—
777#397—131no—
778#397—131no—
779#397—131no—
780#397—131no—
781#397—131no—
782#397—131no—
783#397—131no—
784#397—131no—
785#397—131no—
786#396—131no—
787#396—131no—
788#396—131no—
789#396—131no—
790#396—131no—
791#396—131no—
792#396—131no—
793#394—131no—
794#394—131no—
795#394—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#394—131no—
805#393—131no—
806#393—131no—
807#392—131no—
808#392—131no—
809#391—131no—
810#391—131no—
811#390—131no—
812#390—131no—
813#390—131no—
814#389—131no—
815#388—131no—
816#388—131no—
817#388—131no—
818#388—131no—
819#388—131no—
820#388—131no—
821#388—131no—
822#388—131no—
823#388—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388C2×D1311yescharacteristic
833#388C2×D1311yescharacteristic
834#388C2×D1311yescharacteristic
835#388C2×D1311yescharacteristic
836#388C2×D1311yescharacteristic, complemented
837#388C2×D1311yescharacteristic, complemented
838#388C2×D1311yescharacteristic, complemented
839#388C2×D1311yescharacteristic, complemented
840#387—131no—
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#386—131no—
846#386—131no—
847#386—131no—
848#386—131no—
849#386—131no—
850#386—131no—
851#386—131no—
852#386—131no—
853#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#385—131no—
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385—131no—
873#385—131no—
874#385—131no—
875#383—131no—
876#383—131no—
877#382—131no—
878#382—131no—
879#381—131no—
880#381—131no—
881#381—131no—
882#381—131no—
883#380—131no—
884#380—131no—
885#380—131no—
886#380—131no—
887#380—131no—
888#379—131no—
889#379—131no—
890#379—131no—
891#379—131no—
892#379—131no—
893#379—131no—
894C4×C22⋊C4—131no—
895C2×#95C2×D1311yescharacteristic, complemented
896C2×#95C2×D1311yescharacteristic, complemented
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—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13—41no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—88no—
918C22×C13#53814yes—
919C22×C13C22×#4111yescharacteristic
920C22×C13C2×H(5,𝔽2)11yescharacteristic
921C22×C13C2×H(5,𝔽2)11yescharacteristic
922C22×C13C2×H(5,𝔽2)11yescharacteristic
923C22×C13#58511yescharacteristic
924C22×C13#58511yescharacteristic
925C22×C13#58511yescharacteristic
926C2×D13—41no—
927C2×D13—41no—
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
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—41no—
940C2×D13—41no—
941C2×D13—41no—
942C2×D13—41no—
943C2×D13—41no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
947C2×D13—88no—
948C4×C13—22no—
949C4×C13—41no—
950C4×C13—41no—
951C4×C13—41no—
952C4×C13—41no—
953C4×C13—41no—
954C4×C13—41no—
955C4×C13—41no—
956C4×C13—41no—
957C4×C13—41no—
958C4×C13—41no—
959C4×C13—41no—
960Dic13—41no—
961Dic13—41no—
962Dic13—41no—
963Dic13—41no—
964Dic13—41no—
965Dic13—41no—
966Dic13—41no—
967Dic13—41no—
968Dic13—41no—
969Dic13—41no—
970Dic13—41no—
971Dic13—41no—
972Dic13—41no—
973C25—131no—
974C25C22×D1311yescharacteristic
975C22×Q8—131no—
976C22×D4—131no—
977C22×D4—131no—
978C22×D4—131no—
979C22×D4—131no—
980C22×D4—131no—
981C22×D4—131no—
982C22×D4—131no—
983C22×D4—131no—
984C22×D4—131no—
985C22×D4—264no—
986C22×D4—522no—
987C22×D4—522no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4C22×D1311yescharacteristic
993C23×C4C22×D1311yescharacteristic
994C23×C4C22×D1311yescharacteristic
995C23×C4C22×D1311yescharacteristic
996C23×C4C22×D1311yescharacteristic
997C23×C4C22×D1311yescharacteristic
998#126—522no—
999#124—522no—
1000#123—522no—
1001#123—522no—
1002#123—522no—
1003C22⋊Q8—522no—
1004C22⋊Q8—522no—
1005#121—522no—
1006#121—522no—
1007#120—264no—
1008#120—522no—
1009C4×D4—522no—
1010C2×C4⋊C4—42no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
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⋊C4—131no—
1030C2×C4⋊C4—131no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
1033C2×C4⋊C4C22×D1311yescharacteristic
1034C2×C4⋊C4C22×D1311yescharacteristic
1035C2×C4⋊C4C22×D1311yescharacteristic
1036C2×C4⋊C4C22×D1311yescharacteristic
1037C2×C22⋊C4—24no—
1038C2×C22⋊C4—42no—
1039C2×C22⋊C4—42no—
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—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—522no—
1085C2×C22⋊C4C22×D1311yescharacteristic
1086C2×C22⋊C4C22×D1311yescharacteristic
1087C2×C22⋊C4C22×D1311yescharacteristic
1088C2×C22⋊C4C22×D1311yescharacteristic
1089C2×C22⋊C4C22×D1311yescharacteristic
1090C2×C22⋊C4C22×D1311yescharacteristic
1091C2×C22⋊C4C22×D1311yescharacteristic
1092C2×C22⋊C4C22×D1311yescharacteristic
1093C2×C22⋊C4C22×D1311yescharacteristic
1094C2×C22⋊C4C22×D1311yescharacteristic
1095C2×C22⋊C4C22×D1311yescharacteristic
1096C2×C22⋊C4C22×D1311yescharacteristic
1097C2×C42—42no—
1098C2×C42—131no—
1099C2×C42—131no—
1100C2×C42—131no—
1101C2×C42C22×D1311yescharacteristic
1102C2×C42C22×D1311yescharacteristic
1103C2×C42C22×D1311yescharacteristic
1104C2×C42C22×D1311yescharacteristic
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#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—24no—
1150C2×C13—42no—
1151C2×C13—42no—
1152C2×C13C2×#53811yescharacteristic
1153C2×C13#349111yescharacteristic
1154C2×C13#350511yescharacteristic
1155C2×C13#353411yescharacteristic
1156C2×C13#354211yescharacteristic
1157C2×C13#354511yescharacteristic
1158C2×C13#356011yescharacteristic
1159D13—81no—
1160D13—81no—
1161D13—81no—
1162C24—22no—
1163C24—22no—
1164C24—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—131no—
1169C24—131no—
1170C24—131no—
1171C24—262no—
1172C24—521no—
1173C24—521no—
1174C24—521no—
1175C24—521no—
1176C24—521no—
1177C24—521no—
1178C24#612714yes—
1179C24C23×D1311yescharacteristic
1180C24C23×D1311yescharacteristic
1181C24C23×D1311yescharacteristic
1182C2×Q8—262no—
1183C2×Q8—521no—
1184C2×Q8—521no—
1185C2×D4—262no—
1186C2×D4—262no—
1187C2×D4—262no—
1188C2×D4—262no—
1189C2×D4—262no—
1190C2×D4—262no—
1191C2×D4—262no—
1192C2×D4—262no—
1193C2×D4—262no—
1194C2×D4—262no—
1195C2×D4—262no—
1196C2×D4—262no—
1197C2×D4—262no—
1198C2×D4—262no—
1199C2×D4—521no—
1200C2×D4—521no—
1201C2×D4—521no—
1202C2×D4—521no—
1203C2×D4—521no—
1204C2×D4—521no—
1205C2×D4—521no—
1206C2×D4—521no—
1207C2×D4—521no—
1208C2×D4—521no—
1209C2×D4—521no—
1210C2×D4—521no—
1211C2×D4—521no—
1212C2×D4—5216no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—262no—
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×C4C23×D1311yescharacteristic
1257C22×C4C23×D1311yescharacteristic
1258C22×C4C23×D1311yescharacteristic
1259C22×C4C23×D1311yescharacteristic
1260C22×C4C23×D1311yescharacteristic
1261C22×C4C23×D1311yescharacteristic
1262C22×C4C23×D1311yescharacteristic
1263C22×C4C23×D1311yescharacteristic
1264C22×C4C23×D1311yescharacteristic
1265C22×C4C23×D1311yescharacteristic
1266C22×C4C23×D1311yescharacteristic
1267C22×C4C23×D1311yescharacteristic
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—262no—
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⋊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—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—262no—
1307C22⋊C4—262no—
1308C22⋊C4—262no—
1309C22⋊C4—262no—
1310C22⋊C4—262no—
1311C22⋊C4—262no—
1312C22⋊C4—262no—
1313C22⋊C4—262no—
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⋊C4—521no—
1333C22⋊C4—521no—
1334C22⋊C4—521no—
1335C22⋊C4—521no—
1336C22⋊C4—521no—
1337C22⋊C4—521no—
1338C22⋊C4—521no—
1339C22⋊C4—521no—
1340C22⋊C4—521no—
1341C22⋊C4—521no—
1342C22⋊C4—521no—
1343C22⋊C4—521no—
1344C22⋊C4—521no—
1345C22⋊C4—521no—
1346C22⋊C4—521no—
1347C22⋊C4—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C42—22no—
1351C42—22no—
1352C42—41no—
1353C42—41no—
1354C42—521no—
1355C42—521no—
1356C42—521no—
1357C13#3677911yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
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—28no—
1375C23—44no—
1376C23—44no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23—261no—
1386C23—261no—
1387C23—261no—
1388C23—261no—
1389C23—261no—
1390C23—261no—
1391C23—261no—
1392C23—261no—
1393C23—261no—
1394C23—261no—
1395C23—261no—
1396C23—261no—
1397C23—261no—
1398C23—261no—
1399C23—261no—
1400C23—261no—
1401C23—261no—
1402C23—524no—
1403C23—1042no—
1404C23—1042no—
1405C23—1042no—
1406C23—1042no—
1407C23—1042no—
1408C23—1042no—
1409C23C2×#612712yes—
1410C23C2×#612712yes—
1411C23C2×#612712yes—
1412C23#8825112yes—
1413C23#8825612yes—
1414C23C24×D1311yescharacteristic
1415Q8—1042no—
1416D4—524no—
1417D4—524no—
1418D4—524no—
1419D4—524no—
1420D4—524no—
1421D4—1042no—
1422D4—1042no—
1423D4—1042no—
1424D4—1042no—
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—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—82no—
1465C2×C4—82no—
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—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—524no—
1506C2×C4—1042no—
1507C2×C4—1042no—
1508C2×C4—1042no—
1509C2×C4#8825112yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—88no—
1531C22—521no—
1532C22—521no—
1533C22—521no—
1534C22—521no—
1535C22—521no—
1536C22—521no—
1537C22—521no—
1538C22—521no—
1539C22—521no—
1540C22—521no—
1541C22—521no—
1542C22—521no—
1543C22—521no—
1544C22—521no—
1545C22—521no—
1546C22—521no—
1547C22—521no—
1548C22—521no—
1549C22—521no—
1550C22—521no—
1551C22—521no—
1552C22—1048no—
1553C22#1171926514yes—
1554C22C22×#612711yescharacteristic
1555C22C2×#8825111yescharacteristic
1556C22C2×#8825111yescharacteristic
1557C22C2×#8825611yescharacteristic
1558C22#1171964811yescharacteristic
1559C22#1171964811yescharacteristic
1560C22#1171964811yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—521no—
1574C4—521no—
1575C4—521no—
1576C4—521no—
1577C4—521no—
1578C4—521no—
1579C4—521no—
1580C4—521no—
1581C4—521no—
1582C4—521no—
1583C4—521no—
1584C4—521no—
1585C4—521no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—1041no—
1590C2—1041no—
1591C2—1041no—
1592C2C2×#1171926511yescharacteristic
1593C2#1312853411yescharacteristic
1594C2#1312867511yescharacteristic
1595C2#1312903011yescharacteristic
1596C2#1312915611yescharacteristic
1597C2#1312919311yescharacteristic
1598C2#1312938811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC2×C13×#388C2
prime radical#13118204C2
hypercenterC2×#388D13
hypocenterC13#36779
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
1. #13123151C2semidirect
2. #13123137C2semidirect
3. #13122499C2semidirect
4. #13122494C2semidirect
5. #13122449C2semidirect
6. #13122269C2semidirect
7. #13122261C2semidirect
8. #13122221C2semidirect
9. #13122153C2semidirect
10. #13122054C2semidirect
11. #13121976C2semidirect
12. #13121952C2semidirect
13. #13121874C2semidirect
14. #13121872C2semidirect
15. #13121833C2semidirect
16. #13121465C2semidirect
17. #13121230C2semidirect
18. #13121217C2semidirect
19. #13120616C2semidirect
20. #13120578C2semidirect
21. #13119396C2semidirect
22. #13119162C2semidirect
23. #13118586C2semidirect
24. #13118497C2semidirect
25. #13118387C2semidirect
26. #13118232C2semidirect
28. #13118163C2semidirect
29. #13117494C2semidirect
30. #13117411C2semidirect
31. C2×C13×#388C2semidirect
33. C22×C13×C4⋊C4C22semidirect
37. C22×C42×C13C22semidirect
44. C2×#88183C22semidirect
45. C2×C4×C22⋊D13C22semidirect
46. C2×#88178C22semidirect
48. C2×#88132C22semidirect
49. C2×#88130C22semidirect
50. C2×#88129C22semidirect
55. C13×#388C22semidirect
56. C13×#388C22semidirect
57. C13×#388C22semidirect
58. C13×#388C22semidirect
59. C2×C13×#95C22semidirect
60. C2×C13×#95C22semidirect
70. #11718874C22semidirect
71. #11718874C22semidirect
72. #11718873C22semidirect
73. #11718872C22semidirect
74. #11718871C22semidirect
75. #11718871C22semidirect
76. #11718871C22semidirect
77. #11718871C22semidirect
78. C4×C22⋊Dic13C22semidirect
79. #11718655C22semidirect
80. #11718655C22semidirect
81. #11718655C22semidirect
82. #11718655C22semidirect
83. #11718654C22semidirect
84. #11718654C22semidirect
85. #11718653C22semidirect
86. #11718653C22semidirect
87. #11718652C22semidirect
88. #11718652C22semidirect
89. #11718644C22semidirect
90. #11718644C22semidirect
91. #11718643C22semidirect
92. #11718643C22semidirect
93. #11718641C22semidirect
94. #11718641C22semidirect
110. #11718619C22semidirect
111. #11718619C22semidirect
113. #11718618C22semidirect
115. #11718617C22semidirect
124. #11718611C22semidirect
131. #11718607C22semidirect
133. #11718606C22semidirect
135. #11718605C22semidirect
138. #11718603C22semidirect
139. #11718603C22semidirect
140. #11718603C22semidirect
141. #11718601C22semidirect
142. #11718601C22semidirect
143. #11718601C22semidirect
144. #11718601C22semidirect
145. #11718601C22semidirect
146. #11718601C22semidirect
147. #11718601C22semidirect
148. #11718600C22semidirect
149. #11718598C22semidirect
150. #11718597C22semidirect
151. #11718594C22semidirect
152. #11718594C22semidirect
153. #11718594C22semidirect
154. #11718590C22semidirect
155. #11718337C22semidirect
156. #11718336C22semidirect
157. #11718336C22semidirect
158. #11718336C22semidirect
159. #11718336C22semidirect
160. #11718336C22semidirect
161. #11718335C22semidirect
162. #11718334C22semidirect
163. #11718333C22semidirect
164. #11718333C22semidirect
165. #11718331C22semidirect
166. #11718331C22semidirect
167. #11718330C22semidirect
168. #11718330C22semidirect
169. #11718330C22semidirect
170. #11718330C22semidirect
171. #11718328C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
174. #11718325C22semidirect
175. C13⋊#401C22semidirect
176. #11718321C22semidirect
177. #11718321C22semidirect
178. #11718321C22semidirect
179. #11718319C22semidirect
180. #11718318C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718312C22semidirect
184. #11718311C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
589. C2×#388D13semidirect
755. C22×C4⋊C4C2×D13semidirect
760. C22×C42C2×D13semidirect
836. #388C2×D13semidirect
837. #388C2×D13semidirect
838. #388C2×D13semidirect
839. #388C2×D13semidirect
895. C2×#95C2×D13semidirect
896. C2×#95C2×D13semidirect
1357. C13#36779semidirect

Maximal subgroups

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

subgroupindex
#131231512
#131231372
#131224992
#131224942
#131224492
#131222692
#131222612
#131222212
#131221532
#131220542
#131219762
#131219522
#131218742
#131218722
#131218332
#131214652
#131212302
#131212172
#131206162
#131205782
#131193962
#131191622
#131185862
#131184972
#131183872
#131182322
#131182042
#131181632
#131174942
#131174112
C2×C13×#3882
#3677913