Finite Group Databasebeta

← #16036829

Subgroups — #16036829

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#13123149C211yesmaximal, characteristic, complemented
2#13123133C211yesmaximal, characteristic, complemented
3#13123128C211yesmaximal, characteristic, complemented
4#13121009C211yesmaximal, characteristic, complemented
5#13120965C211yesmaximal, characteristic, complemented
6#13120901C211yesmaximal, characteristic, complemented
7#13120824C211yesmaximal, characteristic, complemented
8#13120166C211yesmaximal, characteristic, complemented
9#13120144C211yesmaximal, characteristic, complemented
10#13120108C211yesmaximal, characteristic, complemented
11#13120087C211yesmaximal, characteristic, complemented
12#13119961C211yesmaximal, characteristic, complemented
13#13119939C211yesmaximal, characteristic, complemented
14#13119909C211yesmaximal, characteristic, complemented
15#13119900C211yesmaximal, characteristic, complemented
16#13119392C211yesmaximal, characteristic, complemented
17#13118961C211yesmaximal, characteristic, complemented
18#13118582C211yesmaximal, characteristic, complemented
19#13118518C211yesmaximal, characteristic, complemented
20#13118442C211yesmaximal, characteristic, complemented
21#13118376C211yesmaximal, characteristic, complemented
22#13118217C211yesmaximal, characteristic, complemented
23#13118152C211yesmaximal, characteristic, complemented
24#13117645C211yesmaximal, characteristic, complemented
25#13117622C211yesmaximal, characteristic, complemented
26#13117603C211yesmaximal, characteristic, complemented
27#13117602C211yesmaximal, characteristic, complemented
28#13117361C211yesmaximal, characteristic, complemented
29#13117321C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic13C211yesmaximal, characteristic, complemented
31C13×#2847C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C22×#6129C2211yescharacteristic
34C2×C13×#121C2211yescharacteristic
35C2×C13×#121C2211yescharacteristic
36C2×C13×#121C2211yescharacteristic
37C2×C13×#120C2211yescharacteristic
38C2×C13×#120C2211yescharacteristic
39C2×#88207C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C22×C22⋊Dic13C2211yescharacteristic
42C2×#88193C2211yescharacteristic
43C2×#88193C2211yescharacteristic
44C2×#88190C2211yescharacteristic
45C2×#88189C2211yescharacteristic
46C2×D4×Dic13C2211yescharacteristic
47C2×#88183C2211yescharacteristic
48C2×#88183C2211yescharacteristic
49C22×C4×Dic13C2211yescharacteristic
50C22×C4×Dic13C2211yescharacteristic
51C2×#88139C2211yescharacteristic, complemented
52C2×#88133C2211yescharacteristic, complemented
53C2×#88132C2211yescharacteristic
54C2×#88131C2211yescharacteristic
55C13×#386C2211yescharacteristic
56C13×#386C2211yescharacteristic
57C13×#386C2211yescharacteristic
58C13×#386C2211yescharacteristic
59C13×#386C2211yescharacteristic
60C13×#386C2211yescharacteristic
61C13×#380C2211yescharacteristic
62C13×#380C2211yescharacteristic
63C13×#380C2211yescharacteristic
64#11718908C2211yescharacteristic
65#11718884C2211yescharacteristic
66#11718884C2211yescharacteristic
67#11718884C2211yescharacteristic
68#11718884C2211yescharacteristic, complemented
69#11718883C2211yescharacteristic
70#11718883C2211yescharacteristic
71#11718883C2211yescharacteristic
72#11718883C2211yescharacteristic
73#11718883C2211yescharacteristic
74#11718883C2211yescharacteristic, complemented
75#11718882C2211yescharacteristic
76#11718882C2211yescharacteristic
77#11718882C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic
81#11718881C2211yescharacteristic
82#11718881C2211yescharacteristic
83#11718881C2211yescharacteristic
84#11718881C2211yescharacteristic
85#11718881C2211yescharacteristic, complemented
86#11718881C2211yescharacteristic, complemented
87#11718874C2211yescharacteristic
88#11718874C2211yescharacteristic
89#11718874C2211yescharacteristic
90#11718874C2211yescharacteristic
91#11718872C2211yescharacteristic
92#11718872C2211yescharacteristic
93#11718871C2211yescharacteristic
94#11718871C2211yescharacteristic
95#11718871C2211yescharacteristic
96#11718871C2211yescharacteristic
97C4×C22⋊Dic13C2211yescharacteristic
98C4×C22⋊Dic13C2211yescharacteristic
99C4×C22⋊Dic13C2211yescharacteristic
100C4×C22⋊Dic13C2211yescharacteristic
101C4×C22⋊Dic13C2211yescharacteristic
102C4×C22⋊Dic13C2211yescharacteristic
103C4×C22⋊Dic13C2211yescharacteristic
104C4×C22⋊Dic13C2211yescharacteristic
105C2×#88071C2211yescharacteristic
106C2×#88071C2211yescharacteristic
107#11718654C2211yescharacteristic, complemented
108#11718651C2211yescharacteristic, complemented
109#11718650C2211yescharacteristic, complemented
110#11718647C2211yescharacteristic, complemented
111#11718647C2211yescharacteristic, complemented
112#11718642C2211yescharacteristic, complemented
113#11718642C2211yescharacteristic, complemented
114#11718641C2211yescharacteristic, complemented
115#11718640C2211yescharacteristic, complemented
116#11718640C2211yescharacteristic, complemented
117#11718639C2211yescharacteristic, complemented
118#11718633C2211yescharacteristic, complemented
119#11718622C2211yescharacteristic
120#11718620C2211yescharacteristic, complemented
121#11718619C2211yescharacteristic
122#11718619C2211yescharacteristic
123#11718618C2211yescharacteristic
124#11718618C2211yescharacteristic, complemented
125#11718618C2211yescharacteristic, complemented
126#11718618C2211yescharacteristic, complemented
127#11718617C2211yescharacteristic
128#11718617C2211yescharacteristic
129#11718617C2211yescharacteristic, complemented
130#11718614C2211yescharacteristic
131#11718614C2211yescharacteristic, complemented
132#11718613C2211yescharacteristic, complemented
133#11718612C2211yescharacteristic, complemented
134#11718612C2211yescharacteristic, complemented
135#11718611C2211yescharacteristic
136#11718609C2211yescharacteristic
137#11718609C2211yescharacteristic
138#11718609C2211yescharacteristic
139#11718608C2211yescharacteristic
140#11718608C2211yescharacteristic
141#11718608C2211yescharacteristic
142#11718608C2211yescharacteristic, complemented
143#11718607C2211yescharacteristic
144#11718607C2211yescharacteristic, complemented
145#11718606C2211yescharacteristic
146#11718606C2211yescharacteristic
147#11718606C2211yescharacteristic
148#11718606C2211yescharacteristic, complemented
149#11718606C2211yescharacteristic, complemented
150#11718606C2211yescharacteristic, complemented
151#11718605C2211yescharacteristic
152#11718605C2211yescharacteristic
153#11718605C2211yescharacteristic, complemented
154#11718605C2211yescharacteristic, complemented
155#11718605C2211yescharacteristic, complemented
156#11718604C2211yescharacteristic
157#11718604C2211yescharacteristic, complemented
158C22⋊C4×Dic13C2211yescharacteristic
159C22⋊C4×Dic13C2211yescharacteristic, complemented
160C22⋊C4×Dic13C2211yescharacteristic, complemented
161C22⋊C4×Dic13C2211yescharacteristic, complemented
162C22⋊C4×Dic13C2211yescharacteristic, complemented
163#11718335C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic, complemented
165#11718331C2211yescharacteristic, complemented
166#11718330C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718327C2211yescharacteristic, complemented
169C13⋊#401C2211yescharacteristic, complemented
170#11718319C2211yescharacteristic, complemented
171#11718318C2211yescharacteristic, complemented
172#11718316C2211yescharacteristic, complemented
173#11718316C2211yescharacteristic, complemented
174#11718316C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718312C2211yescharacteristic, complemented
179#11718312C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718307C2211yescharacteristic, complemented
184#11718307C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13—24no—
196C23×C4×C13—42no—
197C23×C4×C13—42no—
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C23×C4×C13C2311yescharacteristic
203C23×C4×C13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C23×Dic13C2311yescharacteristic
214C23×Dic13C2311yescharacteristic
215C2×#6129—24no—
216C2×#6129—42no—
217C2×#6129—42no—
218C22×C4×D13C2311yescharacteristic
219C22×Dic26C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×#121—24no—
222C13×#121—42no—
223C13×#121—42no—
224C13×#120—42no—
225C13×#120—42no—
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241#88207—42no—
242C2×C22⋊Dic13—24no—
243C2×C22⋊Dic13—24no—
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
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273#88193—24no—
274#88193—42no—
275#88190—24no—
276#88189—24no—
277D4×Dic13—42no—
278#88183—24no—
279#88183—42no—
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×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×C4×Dic13—42no—
307C2×C4×Dic13—42no—
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321#88139—42no—
322#88133—42no—
323#88132—42no—
324#88131—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#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
380C24×C13C2411yescharacteristic
381C24×C13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—41no—
395C2×D4×C13—41no—
396C2×D4×C13—41no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13—41no—
403C2×D4×C13—41no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13—22no—
407C22×C4×C13—22no—
408C22×C4×C13—22no—
409C22×C4×C13—22no—
410C22×C4×C13—22no—
411C22×C4×C13—22no—
412C22×C4×C13—22no—
413C22×C4×C13—22no—
414C22×C4×C13—41no—
415C22×C4×C13—41no—
416C22×C4×C13—41no—
417C22×C4×C13—41no—
418C22×C4×C13—41no—
419C22×C4×C13—41no—
420C22×C4×C13—41no—
421C22×C4×C13—416no—
422C22×C4×C13#4114yescomplemented
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
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—41no—
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—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—22no—
455C22×Dic13—22no—
456C22×Dic13—22no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13—41no—
461C22×Dic13—41no—
462C22×Dic13—41no—
463C22×Dic13—41no—
464C22×Dic13—41no—
465C22×Dic13#4114yes—
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481#6129—416no—
482C2×C4×D13—22no—
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×C4⋊C4—22no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—22no—
519C22⋊Dic13—22no—
520C22⋊Dic13—22no—
521C22⋊Dic13—22no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13—41no—
532C22⋊Dic13—41no—
533C22⋊Dic13—41no—
534C22⋊Dic13#4114yescomplemented
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—22no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548#6101—22no—
549#6101—22no—
550#6101—22no—
551#6101—22no—
552#6101—22no—
553#6101—22no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561C4×Dic13—22no—
562C4×Dic13—22no—
563C4×Dic13—22no—
564C4×Dic13—41no—
565C4×Dic13—41no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2852—131no—
575#2850—131no—
576#2849—131no—
577#2847D1311yescharacteristic, complemented
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⋊C4—131no—
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—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—44no—
637C23×C13—44no—
638C23×C13—44no—
639C23×C13—44no—
640C23×C13—44no—
641C23×C13—44no—
642C23×C13C2×#4112yes—
643C23×C13C2×#4112yes—
644C23×C13C2×#4112yes—
645C23×C13H(5,𝔽2)12yes—
646C23×C13H(5,𝔽2)12yes—
647C23×C13C2511yescharacteristic
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655D4×C13—44no—
656D4×C13—44no—
657D4×C13—82no—
658D4×C13—82no—
659D4×C13—82no—
660D4×C13—82no—
661D4×C13—82no—
662C2×C4×C13—28no—
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—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—44no—
691C2×C4×C13—44no—
692C2×C4×C13—44no—
693C2×C4×C13—44no—
694C2×C4×C13—44no—
695C2×C4×C13C2×#4112yes—
696C2×C4×C13C2×#4112yes—
697C2×C4×C13H(5,𝔽2)12yes—
698C22⋊D13—44no—
699C22⋊D13—44no—
700C22⋊D13—82no—
701C22⋊D13—82no—
702C22⋊D13—82no—
703C2×Dic13—28no—
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—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—44no—
746C2×Dic13—44no—
747C2×Dic13—44no—
748C2×Dic13—44no—
749C2×Dic13—82no—
750C2×Dic13C2×#4112yes—
751C2×Dic13C2×#4112yes—
752C2×Dic13C2×#4112yes—
753C2×Dic13C2×#4112yes—
754C4×D13—44no—
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×#121C2×D1311yescharacteristic
769C2×#121C2×D1311yescharacteristic
770C2×#121C2×D1311yescharacteristic
771C2×#120—131no—
772C2×#120C2×D1311yescharacteristic
773C2×#120C2×D1311yescharacteristic
774C2×C4×D4—131no—
775C2×#117—131no—
776C22×C22⋊C4—131no—
777C22×C22⋊C4—131no—
778C22×C42—131no—
779C22×C42—131no—
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#386C2×D1311yescharacteristic
869#386C2×D1311yescharacteristic
870#386C2×D1311yescharacteristic
871#386C2×D1311yescharacteristic
872#386C2×D1311yescharacteristic
873#386C2×D1311yescharacteristic
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#380C2×D1311yescharacteristic
890#380C2×D1311yescharacteristic
891#380C2×D1311yescharacteristic
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⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C2×#95—131no—
911C2×#95—131no—
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—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13#53814yes—
948C22×C13C22×#4111yescharacteristic
949C22×C13C22×#4111yescharacteristic
950C22×C13C22×#4111yescharacteristic
951C22×C13C2×H(5,𝔽2)11yescharacteristic
952C22×C13C2×H(5,𝔽2)11yescharacteristic
953C22×C13C2×H(5,𝔽2)11yescharacteristic
954C22×C13#58511yescharacteristic
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—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972Dic13—22no—
973Dic13—22no—
974Dic13—22no—
975Dic13—22no—
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×D4C22×D1311yescharacteristic
999C22×D4C22×D1311yescharacteristic
1000C22×D4C22×D1311yescharacteristic
1001C22×D4C22×D1311yescharacteristic
1002C22×D4C22×D1311yescharacteristic
1003C22×D4C22×D1311yescharacteristic
1004C22×D4C22×D1311yescharacteristic
1005C23×C4—24no—
1006C23×C4—42no—
1007C23×C4—42no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
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—24no—
1029#121—42no—
1030#121—42no—
1031#121—264no—
1032#121—522no—
1033#120—42no—
1034#120—42no—
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⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
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—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—264no—
1097C2×C22⋊C4—264no—
1098C2×C22⋊C4C22×D1311yescharacteristic
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
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—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—522no—
1124C2×C42—522no—
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#95—131no—
1162#95—131no—
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—81no—
1173C2×C13—81no—
1174C2×C13#344411yescharacteristic
1175C2×C13C2×#53811yescharacteristic
1176C2×C13#346011yescharacteristic
1177C2×C13#349011yescharacteristic
1178C2×C13#349411yescharacteristic
1179C2×C13#351311yescharacteristic
1180C2×C13#351911yescharacteristic
1181D13—81no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—41no—
1188C24—41no—
1189C24—131no—
1190C24C23×D1311yescharacteristic
1191C24C23×D1311yescharacteristic
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—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—262no—
1228C2×D4—262no—
1229C2×D4—262no—
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—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—416no—
1256C22×C4—134no—
1257C22×C4—131no—
1258C22×C4—131no—
1259C22×C4—131no—
1260C22×C4—131no—
1261C22×C4—131no—
1262C22×C4—131no—
1263C22×C4—131no—
1264C22×C4—131no—
1265C22×C4—131no—
1266C22×C4—131no—
1267C22×C4—131no—
1268C22×C4—131no—
1269C22×C4—131no—
1270C22×C4—131no—
1271C22×C4—131no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—262no—
1277C22×C4—262no—
1278C22×C4—262no—
1279C22×C4—262no—
1280C22×C4—262no—
1281C22×C4—262no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4—521no—
1292C22×C4#612914yescomplemented
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—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—262no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
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—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—134no—
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—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
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—521no—
1373C42—262no—
1374C42—262no—
1375C42—262no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
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—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23C2×#612912yes—
1432C23#8825112yes—
1433C23#8825112yes—
1434C23#41×D1312yes—
1435C23#41×D1312yes—
1436C23C24×D1311yescharacteristic
1437Q8—524no—
1438Q8—1042no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—524no—
1447D4—524no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
1451C2×C4—28no—
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—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—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—132no—
1485C2×C4—132no—
1486C2×C4—132no—
1487C2×C4—132no—
1488C2×C4—268no—
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—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—261no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—524no—
1535C2×C4—1042no—
1536C2×C4C2×#612912yes—
1537C2×C4C2×#612912yes—
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—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22#1171931814yes—
1582C22C22×#612911yescharacteristic
1583C22C2×#8825111yescharacteristic
1584C22C2×#8825111yescharacteristic
1585C22C2×#8825111yescharacteristic
1586C22C2×#41×D1311yescharacteristic
1587C22C2×#41×D1311yescharacteristic
1588C22#1171964811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—262no—
1600C4—262no—
1601C4—262no—
1602C4—262no—
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—81no—
1618C2—81no—
1619C2—1041no—
1620C2#1312812811yescharacteristic
1621C2C2×#1171931811yescharacteristic
1622C2#1312825411yescharacteristic
1623C2#1312852311yescharacteristic
1624C2#1312856511yescharacteristic
1625C2#1312876211yescharacteristic
1626C2#1312886211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2847C2
hypercenter#2847D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #13123149C2semidirect
2. #13123133C2semidirect
3. #13123128C2semidirect
4. #13121009C2semidirect
5. #13120965C2semidirect
6. #13120901C2semidirect
7. #13120824C2semidirect
8. #13120166C2semidirect
9. #13120144C2semidirect
10. #13120108C2semidirect
11. #13120087C2semidirect
12. #13119961C2semidirect
13. #13119939C2semidirect
14. #13119909C2semidirect
15. #13119900C2semidirect
16. #13119392C2semidirect
17. #13118961C2semidirect
18. #13118582C2semidirect
19. #13118518C2semidirect
20. #13118442C2semidirect
21. #13118376C2semidirect
22. #13118217C2semidirect
23. #13118152C2semidirect
24. #13117645C2semidirect
25. #13117622C2semidirect
26. #13117603C2semidirect
27. #13117602C2semidirect
28. #13117361C2semidirect
29. #13117321C2semidirect
30. C2×C4×C22⋊Dic13C2semidirect
31. C13×#2847C2semidirect
51. C2×#88139C22semidirect
52. C2×#88133C22semidirect
68. #11718884C22semidirect
74. #11718883C22semidirect
85. #11718881C22semidirect
86. #11718881C22semidirect
107. #11718654C22semidirect
108. #11718651C22semidirect
109. #11718650C22semidirect
110. #11718647C22semidirect
111. #11718647C22semidirect
112. #11718642C22semidirect
113. #11718642C22semidirect
114. #11718641C22semidirect
115. #11718640C22semidirect
116. #11718640C22semidirect
117. #11718639C22semidirect
118. #11718633C22semidirect
120. #11718620C22semidirect
124. #11718618C22semidirect
125. #11718618C22semidirect
126. #11718618C22semidirect
129. #11718617C22semidirect
131. #11718614C22semidirect
132. #11718613C22semidirect
133. #11718612C22semidirect
134. #11718612C22semidirect
142. #11718608C22semidirect
144. #11718607C22semidirect
148. #11718606C22semidirect
149. #11718606C22semidirect
150. #11718606C22semidirect
153. #11718605C22semidirect
154. #11718605C22semidirect
155. #11718605C22semidirect
157. #11718604C22semidirect
159. C22⋊C4×Dic13C22semidirect
160. C22⋊C4×Dic13C22semidirect
161. C22⋊C4×Dic13C22semidirect
162. C22⋊C4×Dic13C22semidirect
163. #11718335C22semidirect
164. #11718331C22semidirect
165. #11718331C22semidirect
166. #11718330C22semidirect
167. #11718327C22semidirect
168. #11718327C22semidirect
169. C13⋊#401C22semidirect
170. #11718319C22semidirect
171. #11718318C22semidirect
172. #11718316C22semidirect
173. #11718316C22semidirect
174. #11718316C22semidirect
175. #11718314C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718312C22semidirect
179. #11718312C22semidirect
180. #11718311C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718307C22semidirect
184. #11718307C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
422. C22×C4×C13#41semidirect
534. C22⋊Dic13#41semidirect
577. #2847D13semidirect
1292. C22×C4#6129semidirect
1386. C13#35053semidirect

Maximal subgroups

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

subgroupindex
#131231492
#131231332
#131231282
#131210092
#131209652
#131209012
#131208242
#131201662
#131201442
#131201082
#131200872
#131199612
#131199392
#131199092
#131199002
#131193922
#131189612
#131185822
#131185182
#131184422
#131183762
#131182172
#131181522
#131176452
#131176222
#131176032
#131176022
#131173612
#131173212
C2×C4×C22⋊Dic132
C13×#28472
#3505313