Finite Group Databasebeta

← #16071362

Subgroups — #16071362

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#13123148C211yesmaximal, characteristic, complemented
2#13123140C211yesmaximal, characteristic, complemented
3#13122501C211yesmaximal, characteristic, complemented
4#13122500C211yesmaximal, characteristic, complemented
5#13122457C211yesmaximal, characteristic, complemented
6#13122274C211yesmaximal, characteristic, complemented
7#13122256C211yesmaximal, characteristic, complemented
8#13122216C211yesmaximal, characteristic, complemented
9#13122151C211yesmaximal, characteristic, complemented
10#13122054C211yesmaximal, characteristic, complemented
11#13121968C211yesmaximal, characteristic, complemented
12#13121948C211yesmaximal, characteristic, complemented
13#13121879C211yesmaximal, characteristic, complemented
14#13121872C211yesmaximal, characteristic, complemented
15#13121827C211yesmaximal, characteristic, complemented
16#13121221C211yesmaximal, characteristic, complemented
17#13121219C211yesmaximal, characteristic, complemented
18#13120617C211yesmaximal, characteristic, complemented
19#13120583C211yesmaximal, characteristic, complemented
20#13119397C211yesmaximal, characteristic, complemented
21#13119155C211yesmaximal, characteristic, complemented
22#13118593C211yesmaximal, characteristic, complemented
23#13118499C211yesmaximal, characteristic, complemented
24#13118394C211yesmaximal, characteristic, complemented
25#13118229C211yesmaximal, characteristic, complemented
26#13118205C211yesmaximal, characteristic
27#13118158C211yesmaximal, characteristic, complemented
28#13117498C211yesmaximal, characteristic, complemented
29#13117410C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2702C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic, complemented
34C2×C13×C22⋊Q8C2211yescharacteristic, complemented
35C2×#88201C2211yescharacteristic, complemented
36C2×#88200C2211yescharacteristic, complemented
37C22×#6103C2211yescharacteristic
38C2×#88149C2211yescharacteristic
39C2×#88148C2211yescharacteristic
40C2×#88148C2211yescharacteristic, complemented
41C2×C4⋊C4×D13C2211yescharacteristic, complemented
42C2×#88138C2211yescharacteristic
43C2×#88137C2211yescharacteristic
44C2×#88136C2211yescharacteristic
45C2×#88136C2211yescharacteristic
46C2×C22⋊C4×D13C2211yescharacteristic
47C2×C22⋊C4×D13C2211yescharacteristic
48C2×C22⋊C4×D13C2211yescharacteristic
49C2×C4×D52C2211yescharacteristic, complemented
50C2×C42×D13C2211yescharacteristic, complemented
51C13×#400C2211yescharacteristic, complemented
52C13×#398C2211yescharacteristic, complemented
53C13×#396C2211yescharacteristic, complemented
54C13×#394C2211yescharacteristic
55C13×#394C2211yescharacteristic
56C13×#393C2211yescharacteristic, complemented
57C13×#391C2211yescharacteristic, complemented
58C13×#389C2211yescharacteristic, complemented
59C13×#388C2211yescharacteristic, complemented
60C13×#388C2211yescharacteristic, complemented
61C13×#388C2211yescharacteristic, complemented
62C13×#386C2211yescharacteristic
63C13×#380C2211yescharacteristic, complemented
64#11718892C2211yescharacteristic
65#11718891C2211yescharacteristic, complemented
66#11718884C2211yescharacteristic
67#11718883C2211yescharacteristic
68#11718881C2211yescharacteristic
69#11718874C2211yescharacteristic
70#11718874C2211yescharacteristic, complemented
71#11718871C2211yescharacteristic, complemented
72#11718655C2211yescharacteristic
73#11718655C2211yescharacteristic
74#11718655C2211yescharacteristic, complemented
75#11718655C2211yescharacteristic, complemented
76#11718655C2211yescharacteristic, complemented
77#11718654C2211yescharacteristic
78#11718654C2211yescharacteristic, complemented
79#11718654C2211yescharacteristic, complemented
80#11718654C2211yescharacteristic, complemented
81#11718653C2211yescharacteristic
82#11718653C2211yescharacteristic, complemented
83#11718653C2211yescharacteristic, complemented
84#11718652C2211yescharacteristic
85#11718652C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic
87#11718651C2211yescharacteristic, complemented
88#11718651C2211yescharacteristic, complemented
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718650C2211yescharacteristic, complemented
92#11718650C2211yescharacteristic, complemented
93#11718650C2211yescharacteristic, complemented
94#11718650C2211yescharacteristic, complemented
95#11718649C2211yescharacteristic
96#11718648C2211yescharacteristic, complemented
97#11718645C2211yescharacteristic, complemented
98#11718645C2211yescharacteristic, complemented
99#11718644C2211yescharacteristic, complemented
100#11718639C2211yescharacteristic, complemented
101#11718639C2211yescharacteristic, complemented
102#11718639C2211yescharacteristic, complemented
103#11718638C2211yescharacteristic, complemented
104#11718622C2211yescharacteristic
105#11718622C2211yescharacteristic, complemented
106#11718621C2211yescharacteristic
107#11718620C2211yescharacteristic
108#11718620C2211yescharacteristic
109#11718620C2211yescharacteristic, complemented
110#11718620C2211yescharacteristic, complemented
111#11718619C2211yescharacteristic
112#11718619C2211yescharacteristic, complemented
113#11718618C2211yescharacteristic, complemented
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic, complemented
119#11718617C2211yescharacteristic, complemented
120#11718616C2211yescharacteristic
121#11718616C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718616C2211yescharacteristic
124#11718616C2211yescharacteristic
125#11718616C2211yescharacteristic
126#11718614C2211yescharacteristic, complemented
127#11718613C2211yescharacteristic, complemented
128#11718612C2211yescharacteristic, complemented
129#11718612C2211yescharacteristic, complemented
130#11718612C2211yescharacteristic, complemented
131#11718611C2211yescharacteristic, complemented
132#11718609C2211yescharacteristic, complemented
133#11718606C2211yescharacteristic, complemented
134#11718606C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic, complemented
136#11718605C2211yescharacteristic, complemented
137#11718605C2211yescharacteristic, complemented
138#11718605C2211yescharacteristic, complemented
139#11718603C2211yescharacteristic, complemented
140#11718603C2211yescharacteristic, complemented
141#11718601C2211yescharacteristic
142#11718601C2211yescharacteristic
143#11718601C2211yescharacteristic, complemented
144#11718600C2211yescharacteristic, complemented
145#11718598C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147#11718336C2211yescharacteristic
148#11718336C2211yescharacteristic, complemented
149#11718335C2211yescharacteristic, complemented
150#11718335C2211yescharacteristic, complemented
151#11718333C2211yescharacteristic
152#11718331C2211yescharacteristic
153#11718331C2211yescharacteristic
154#11718330C2211yescharacteristic
155#11718330C2211yescharacteristic, complemented
156#11718330C2211yescharacteristic, complemented
157#11718330C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718329C2211yescharacteristic
160#11718328C2211yescharacteristic, complemented
161#11718327C2211yescharacteristic, complemented
162#11718326C2211yescharacteristic
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718325C2211yescharacteristic
172#11718325C2211yescharacteristic
173#11718325C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175D13×#95C2211yescharacteristic, complemented
176D13×#95C2211yescharacteristic, complemented
177C13⋊#401C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718320C2211yescharacteristic, complemented
180#11718320C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718319C2211yescharacteristic, complemented
183#11718318C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718312C2211yescharacteristic, complemented
186#11718311C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×Q8×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C2×D4×D13—24no—
198C2×D4×D13—42no—
199C2×D4×D13—42no—
200C22×D52C2311yescharacteristic
201C22×D52C2311yescharacteristic
202C22×D52C2311yescharacteristic
203C22×D52C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C13×#126—42no—
213C13×C22⋊Q8—42no—
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×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×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245#88201—42no—
246#88200—42no—
247C2×#6103—42no—
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306#88149—42no—
307#88148—42no—
308#88148—42no—
309C4⋊C4×D13—42no—
310#88138—42no—
311#88137—42no—
312#88136—24no—
313#88136—42no—
314C22⋊C4×D13—24no—
315C22⋊C4×D13—42no—
316C22⋊C4×D13—42no—
317C4×D52—42no—
318C42×D13—42no—
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
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×C13C2411yescharacteristic
365C24×C13C2411yescharacteristic
366C23×D13—22no—
367C23×D13—22no—
368C23×D13—22no—
369C23×D13—41no—
370C23×D13—41no—
371C23×D13—41no—
372C23×D13—41no—
373C23×D13—41no—
374C23×D13—41no—
375C23×D13—41no—
376C23×D13—41no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13#4114yes—
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C23×D13C2411yescharacteristic
384C2×Q8×C13—22no—
385C2×Q8×C13—41no—
386C2×Q8×C13—41no—
387C2×D4×C13—22no—
388C2×D4×C13—41no—
389C2×D4×C13—41no—
390C22×C4×C13—41no—
391C22×C4×C13—41no—
392C22×C4×C13—41no—
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C2×C22⋊D13—22no—
407C2×C22⋊D13—22no—
408C2×C22⋊D13—22no—
409C2×C22⋊D13—22no—
410C2×C22⋊D13—22no—
411C2×C22⋊D13—41no—
412C2×C22⋊D13—41no—
413C2×C22⋊D13—41no—
414C2×C22⋊D13—41no—
415C2×C22⋊D13—41no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C22×Dic13—41no—
419C22×Dic13—41no—
420C22×Dic13—41no—
421C22×Dic13C2411yescharacteristic
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433D4×D13—416no—
434C2×D52—22no—
435C2×D52—22no—
436C2×D52—22no—
437C2×D52—22no—
438C2×D52—22no—
439C2×D52—22no—
440C2×D52—22no—
441C2×D52—22no—
442C2×D52—41no—
443C2×D52—41no—
444C2×D52—41no—
445C2×D52—41no—
446C2×C4×D13—22no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—22no—
451C2×C4×D13—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—41no—
457C2×C4×D13—41no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
462C2×C4×D13—41no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C13×C4⋊C4—22no—
471C13×C4⋊C4—41no—
472C13×C4⋊C4—41no—
473C13×C4⋊C4—41no—
474C13×C4⋊C4—41no—
475C13×C4⋊C4—41no—
476C13×C4⋊C4—41no—
477C13×C4⋊C4—41no—
478C13×C4⋊C4—41no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—41no—
484C13×C22⋊C4—41no—
485C13×C22⋊C4—41no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4—41no—
490C42×C13—22no—
491C42×C13—41no—
492C22⋊Dic13—22no—
493C22⋊Dic13—41no—
494C22⋊Dic13—41no—
495C22⋊Dic13—41no—
496C22⋊Dic13—41no—
497C22⋊Dic13—41no—
498C22⋊Dic13—41no—
499C22⋊Dic13—41no—
500C22⋊Dic13—41no—
501#6103—22no—
502#6103—22no—
503#6103—22no—
504#6103—22no—
505#6103—22no—
506#6103—22no—
507#6103—22no—
508#6103—22no—
509#6103—22no—
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—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537C4⋊Dic13—41no—
538C4⋊Dic13—41no—
539C4⋊Dic13—41no—
540C4⋊Dic13—41no—
541C4⋊Dic13—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—
554C4×Dic13—22no—
555C4×Dic13—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#2702D1311yescharacteristic, complemented
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×#388—131no—
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×C13C2×#4112yes—
604C23×C13C2511yescharacteristic
605C22×D13—21no—
606C22×D13—21no—
607C22×D13—21no—
608C22×D13—21no—
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—28no—
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13—44no—
633C22×D13—82no—
634C22×D13—82no—
635C22×D13—82no—
636C22×D13—82no—
637C22×D13—82no—
638C22×D13—82no—
639C22×D13—82no—
640C22×D13—82no—
641C22×D13—82no—
642C22×D13—82no—
643C22×D13C2×#4112yes—
644C22×D13C2×#4112yes—
645C22×D13H(5,𝔽2)12yes—
646C22×D13H(5,𝔽2)12yes—
647Q8×C13—82no—
648D4×C13—44no—
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—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—82no—
688C2×C4×C13H(5,𝔽2)12yes—
689C22⋊D13—44no—
690C22⋊D13—44no—
691C22⋊D13—82no—
692C22⋊D13—82no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—82no—
730D52—44no—
731D52—44no—
732D52—82no—
733D52—82no—
734C4×D13—44no—
735C4×D13—44no—
736C4×D13—44no—
737C4×D13—44no—
738C4×D13—44no—
739C4×D13—82no—
740C4×D13—82no—
741C4×D13—82no—
742C23×D4—131no—
743C2×#126C2×D1311yescharacteristic, complemented
744C2×#124—131no—
745C2×#123—131no—
746C2×#123—131no—
747C2×#123—131no—
748C2×C22⋊Q8—131no—
749C2×C22⋊Q8C2×D1311yescharacteristic, complemented
750C2×#121—131no—
751C2×#121—131no—
752C2×#120—131no—
753C2×#120—131no—
754C2×C4×D4—131no—
755C22×C4⋊C4—131no—
756C22×C22⋊C4—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
759C22×C22⋊C4—131no—
760C22×C42—131no—
761#401—131no—
762#400—131no—
763#400—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400C2×D1311yescharacteristic, complemented
768#399—131no—
769#399—131no—
770#399—131no—
771#398—131no—
772#398—131no—
773#398—131no—
774#398—131no—
775#398C2×D1311yescharacteristic, complemented
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#396C2×D1311yescharacteristic, complemented
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#394C2×D1311yescharacteristic
804#394C2×D1311yescharacteristic
805#393—131no—
806#393C2×D1311yescharacteristic, complemented
807#392—131no—
808#392—131no—
809#391—131no—
810#391C2×D1311yescharacteristic, complemented
811#390—131no—
812#390—131no—
813#390—131no—
814#389C2×D1311yescharacteristic, complemented
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#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
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#386C2×D1311yescharacteristic
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#380C2×D1311yescharacteristic, complemented
888#379—131no—
889#379—131no—
890#379—131no—
891#379—131no—
892#379—131no—
893#379—131no—
894C4×C22⋊C4—131no—
895C2×#95—131no—
896C2×#95—131no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—41no—
901C22×C13—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13C22×#4111yescharacteristic
912C22×C13C2×H(5,𝔽2)11yescharacteristic
913C22×C13C2×H(5,𝔽2)11yescharacteristic
914C22×C13C2×H(5,𝔽2)11yescharacteristic
915C22×C13#58511yescharacteristic
916C22×C13#58511yescharacteristic
917C22×C13#58511yescharacteristic
918C2×D13—22no—
919C2×D13—22no—
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—22no—
924C2×D13—22no—
925C2×D13—22no—
926C2×D13—22no—
927C2×D13—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—88no—
946C2×D13—88no—
947C2×D13#53814yes—
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—
960C4×C13—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—
974C25—131no—
975C22×Q8C22×D1311yescharacteristic
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—264no—
985C22×D4—522no—
986C22×D4—522no—
987C22×D4C22×D1311yescharacteristic
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4C22×D1311yescharacteristic
998#126—42no—
999#124—522no—
1000#123—522no—
1001#123—522no—
1002#123—522no—
1003C22⋊Q8—42no—
1004C22⋊Q8—522no—
1005#121—522no—
1006#121—522no—
1007#120—264no—
1008#120—522no—
1009C4×D4—522no—
1010C2×C4⋊C4—131no—
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—522no—
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C4⋊C4C22×D1311yescharacteristic
1031C2×C4⋊C4C22×D1311yescharacteristic
1032C2×C4⋊C4C22×D1311yescharacteristic
1033C2×C4⋊C4C22×D1311yescharacteristic
1034C2×C4⋊C4C22×D1311yescharacteristic
1035C2×C4⋊C4C22×D1311yescharacteristic
1036C2×C4⋊C4C22×D1311yescharacteristic
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—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—264no—
1083C2×C22⋊C4—522no—
1084C2×C22⋊C4—522no—
1085C2×C22⋊C4—522no—
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—131no—
1098C2×C42—131no—
1099C2×C42—131no—
1100C2×C42—131no—
1101C2×C42—131no—
1102C2×C42—522no—
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#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144#95C22×D1311yescharacteristic
1145#95C22×D1311yescharacteristic
1146#95C22×D1311yescharacteristic
1147#95C22×D1311yescharacteristic
1148#95C22×D1311yescharacteristic
1149C2×C13—42no—
1150C2×C13—81no—
1151C2×C13C2×#53811yescharacteristic
1152C2×C13#349111yescharacteristic
1153C2×C13#350511yescharacteristic
1154C2×C13#353411yescharacteristic
1155C2×C13#354211yescharacteristic
1156C2×C13#354511yescharacteristic
1157C2×C13#356011yescharacteristic
1158D13—24no—
1159D13—42no—
1160D13—81no—
1161D13—81no—
1162C24—131no—
1163C24—131no—
1164C24—134no—
1165C24—131no—
1166C24—131no—
1167C24—262no—
1168C24—262no—
1169C24—262no—
1170C24—521no—
1171C24—521no—
1172C24—521no—
1173C24—521no—
1174C24—521no—
1175C24—521no—
1176C24—521no—
1177C24—521no—
1178C24—521no—
1179C24—521no—
1180C24C23×D1311yescharacteristic
1181C24C23×D1311yescharacteristic
1182C2×Q8—22no—
1183C2×Q8—41no—
1184C2×Q8—41no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
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—262no—
1200C2×D4—262no—
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—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—131no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—131no—
1220C22×C4—131no—
1221C22×C4—131no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—131no—
1226C22×C4—131no—
1227C22×C4—131no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4—521no—
1248C22×C4—521no—
1249C22×C4—521no—
1250C22×C4—521no—
1251C22×C4—521no—
1252C22×C4—521no—
1253C22×C4—521no—
1254C22×C4—521no—
1255C22×C4C23×D1311yescharacteristic
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—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
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—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—262no—
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—262no—
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—41no—
1352C42—262no—
1353C42—521no—
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—132no—
1372C23—132no—
1373C23—132no—
1374C23—132no—
1375C23—268no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23—261no—
1386C23—261no—
1387C23—261no—
1388C23—261no—
1389C23—261no—
1390C23—261no—
1391C23—261no—
1392C23—261no—
1393C23—261no—
1394C23—261no—
1395C23—261no—
1396C23—261no—
1397C23—261no—
1398C23—261no—
1399C23—261no—
1400C23—524no—
1401C23—524no—
1402C23—524no—
1403C23—1042no—
1404C23—1042no—
1405C23—1042no—
1406C23—1042no—
1407C23—1042no—
1408C23—1042no—
1409C23—1042no—
1410C23—1042no—
1411C23—1042no—
1412C23—1042no—
1413C23#41×D1312yes—
1414C23C24×D1311yescharacteristic
1415Q8—82no—
1416D4—44no—
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—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—82no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—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—524no—
1501C2×C4—524no—
1502C2×C4—524no—
1503C2×C4—524no—
1504C2×C4—524no—
1505C2×C4—1042no—
1506C2×C4—1042no—
1507C2×C4—1042no—
1508C2×C4—1042no—
1509C2×C4#8825112yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—134no—
1525C22—262no—
1526C22—262no—
1527C22—262no—
1528C22—262no—
1529C22—262no—
1530C22—262no—
1531C22—262no—
1532C22—262no—
1533C22—262no—
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—1048no—
1554C22C2×#8825111yescharacteristic
1555C22C2×#41×D1311yescharacteristic
1556C22#1171964811yescharacteristic
1557C22D13×H(5,𝔽2)11yescharacteristic
1558C22D13×H(5,𝔽2)11yescharacteristic
1559C22#1171965211yescharacteristic
1560C22#1171965211yescharacteristic
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—41no—
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—42no—
1587C2—81no—
1588C2—264no—
1589C2—522no—
1590C2—1041no—
1591C2—1041no—
1592C2D13×#53811yescharacteristic
1593C2#1312853111yescharacteristic
1594C2#1312867211yescharacteristic
1595C2#1312901811yescharacteristic
1596C2#1312914011yescharacteristic
1597C2#1312918411yescharacteristic
1598C2#1312937911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2702C2
prime radical#13118205C2
hypercenter#2702D13
hypocenterC13#36779
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. #13123148C2semidirect
2. #13123140C2semidirect
3. #13122501C2semidirect
4. #13122500C2semidirect
5. #13122457C2semidirect
6. #13122274C2semidirect
7. #13122256C2semidirect
8. #13122216C2semidirect
9. #13122151C2semidirect
10. #13122054C2semidirect
11. #13121968C2semidirect
12. #13121948C2semidirect
13. #13121879C2semidirect
14. #13121872C2semidirect
15. #13121827C2semidirect
16. #13121221C2semidirect
17. #13121219C2semidirect
18. #13120617C2semidirect
19. #13120583C2semidirect
20. #13119397C2semidirect
21. #13119155C2semidirect
22. #13118593C2semidirect
23. #13118499C2semidirect
24. #13118394C2semidirect
25. #13118229C2semidirect
27. #13118158C2semidirect
28. #13117498C2semidirect
29. #13117410C2semidirect
30. D13×#388C2semidirect
31. C13×#2702C2semidirect
33. C2×C13×#126C22semidirect
34. C2×C13×C22⋊Q8C22semidirect
35. C2×#88201C22semidirect
36. C2×#88200C22semidirect
40. C2×#88148C22semidirect
41. C2×C4⋊C4×D13C22semidirect
49. C2×C4×D52C22semidirect
50. C2×C42×D13C22semidirect
51. C13×#400C22semidirect
52. C13×#398C22semidirect
53. C13×#396C22semidirect
56. C13×#393C22semidirect
57. C13×#391C22semidirect
58. C13×#389C22semidirect
59. C13×#388C22semidirect
60. C13×#388C22semidirect
61. C13×#388C22semidirect
63. C13×#380C22semidirect
65. #11718891C22semidirect
70. #11718874C22semidirect
71. #11718871C22semidirect
74. #11718655C22semidirect
75. #11718655C22semidirect
76. #11718655C22semidirect
78. #11718654C22semidirect
79. #11718654C22semidirect
80. #11718654C22semidirect
82. #11718653C22semidirect
83. #11718653C22semidirect
85. #11718652C22semidirect
87. #11718651C22semidirect
88. #11718651C22semidirect
91. #11718650C22semidirect
92. #11718650C22semidirect
93. #11718650C22semidirect
94. #11718650C22semidirect
96. #11718648C22semidirect
97. #11718645C22semidirect
98. #11718645C22semidirect
99. #11718644C22semidirect
100. #11718639C22semidirect
101. #11718639C22semidirect
102. #11718639C22semidirect
103. #11718638C22semidirect
105. #11718622C22semidirect
109. #11718620C22semidirect
110. #11718620C22semidirect
112. #11718619C22semidirect
113. #11718618C22semidirect
118. #11718617C22semidirect
119. #11718617C22semidirect
126. #11718614C22semidirect
127. #11718613C22semidirect
128. #11718612C22semidirect
129. #11718612C22semidirect
130. #11718612C22semidirect
131. #11718611C22semidirect
132. #11718609C22semidirect
133. #11718606C22semidirect
134. #11718606C22semidirect
135. #11718605C22semidirect
136. #11718605C22semidirect
137. #11718605C22semidirect
138. #11718605C22semidirect
139. #11718603C22semidirect
140. #11718603C22semidirect
143. #11718601C22semidirect
144. #11718600C22semidirect
145. #11718598C22semidirect
146. #11718594C22semidirect
148. #11718336C22semidirect
149. #11718335C22semidirect
150. #11718335C22semidirect
155. #11718330C22semidirect
156. #11718330C22semidirect
157. #11718330C22semidirect
158. #11718330C22semidirect
160. #11718328C22semidirect
161. #11718327C22semidirect
168. #11718326C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
173. #11718325C22semidirect
174. #11718325C22semidirect
175. D13×#95C22semidirect
176. D13×#95C22semidirect
177. C13⋊#401C22semidirect
178. #11718321C22semidirect
179. #11718320C22semidirect
180. #11718320C22semidirect
181. #11718319C22semidirect
182. #11718319C22semidirect
183. #11718318C22semidirect
184. #11718314C22semidirect
185. #11718312C22semidirect
186. #11718311C22semidirect
574. #2702D13semidirect
743. C2×#126C2×D13semidirect
749. C2×C22⋊Q8C2×D13semidirect
767. #400C2×D13semidirect
775. #398C2×D13semidirect
792. #396C2×D13semidirect
806. #393C2×D13semidirect
810. #391C2×D13semidirect
814. #389C2×D13semidirect
837. #388C2×D13semidirect
838. #388C2×D13semidirect
839. #388C2×D13semidirect
887. #380C2×D13semidirect
1357. C13#36779semidirect

Maximal subgroups

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

subgroupindex
#131231482
#131231402
#131225012
#131225002
#131224572
#131222742
#131222562
#131222162
#131221512
#131220542
#131219682
#131219482
#131218792
#131218722
#131218272
#131212212
#131212192
#131206172
#131205832
#131193972
#131191552
#131185932
#131184992
#131183942
#131182292
#131182052
#131181582
#131174982
#131174102
D13×#3882
C13×#27022
#3677913