Finite Group Databasebeta

← #16036813

Subgroups — #16036813

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#13123153C211yesmaximal, characteristic, complemented
2#13123133C211yesmaximal, characteristic, complemented
3#13123118C211yesmaximal, characteristic, complemented
4#13121008C211yesmaximal, characteristic, complemented
5#13120964C211yesmaximal, characteristic, complemented
6#13120899C211yesmaximal, characteristic, complemented
7#13120826C211yesmaximal, characteristic, complemented
8#13120174C211yesmaximal, characteristic, complemented
9#13120136C211yesmaximal, characteristic, complemented
10#13120116C211yesmaximal, characteristic, complemented
11#13120082C211yesmaximal, characteristic, complemented
12#13119969C211yesmaximal, characteristic, complemented
13#13119931C211yesmaximal, characteristic, complemented
14#13119908C211yesmaximal, characteristic, complemented
15#13119892C211yesmaximal, characteristic, complemented
16#13119400C211yesmaximal, characteristic, complemented
17#13118959C211yesmaximal, characteristic, complemented
18#13118590C211yesmaximal, characteristic, complemented
19#13118510C211yesmaximal, characteristic, complemented
20#13118444C211yesmaximal, characteristic, complemented
21#13118368C211yesmaximal, characteristic, complemented
22#13118223C211yesmaximal, characteristic, complemented
23#13118152C211yesmaximal, characteristic, complemented
24#13117650C211yesmaximal, characteristic, complemented
25#13117630C211yesmaximal, characteristic, complemented
26#13117598C211yesmaximal, characteristic, complemented
27#13117597C211yesmaximal, characteristic, complemented
28#13117355C211yesmaximal, characteristic, complemented
29#13117321C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic13C211yesmaximal, characteristic, complemented
31C13×#2849C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C22×#6129C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic
36C2×C13×#120C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C22×C22⋊Dic13C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C2×#88193C2211yescharacteristic
42C2×#88192C2211yescharacteristic
43C2×#88184C2211yescharacteristic
44C2×#88184C2211yescharacteristic
45C2×#88184C2211yescharacteristic
46C22×C4×Dic13C2211yescharacteristic
47C22×C4×Dic13C2211yescharacteristic
48C2×#88152C2211yescharacteristic, complemented
49C2×#88140C2211yescharacteristic
50C2×#88139C2211yescharacteristic
51C2×#88139C2211yescharacteristic, complemented
52C2×#88135C2211yescharacteristic
53C2×#88132C2211yescharacteristic
54C2×#88131C2211yescharacteristic
55C13×#386C2211yescharacteristic
56C13×#386C2211yescharacteristic
57C13×#386C2211yescharacteristic
58C13×#386C2211yescharacteristic
59C13×#385C2211yescharacteristic
60C13×#385C2211yescharacteristic
61C13×#385C2211yescharacteristic
62C13×#385C2211yescharacteristic
63C13×#381C2211yescharacteristic
64C13×#381C2211yescharacteristic
65C13×#379C2211yescharacteristic
66#11718884C2211yescharacteristic
67#11718884C2211yescharacteristic
68#11718884C2211yescharacteristic
69#11718883C2211yescharacteristic
70#11718882C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic
74#11718881C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718874C2211yescharacteristic
78#11718874C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718874C2211yescharacteristic
81#11718873C2211yescharacteristic
82#11718873C2211yescharacteristic
83#11718873C2211yescharacteristic
84C4×C22⋊Dic13C2211yescharacteristic
85C4×C22⋊Dic13C2211yescharacteristic
86C4×C22⋊Dic13C2211yescharacteristic
87C4×C22⋊Dic13C2211yescharacteristic
88C4×C22⋊Dic13C2211yescharacteristic
89C4×C22⋊Dic13C2211yescharacteristic
90C4×C22⋊Dic13C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic
92C2×#88071C2211yescharacteristic
93C2×#88071C2211yescharacteristic
94#11718654C2211yescharacteristic, complemented
95#11718652C2211yescharacteristic, complemented
96#11718651C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718651C2211yescharacteristic, complemented
100#11718646C2211yescharacteristic, complemented
101#11718644C2211yescharacteristic, complemented
102#11718644C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718642C2211yescharacteristic, complemented
105#11718639C2211yescharacteristic, complemented
106C4⋊C4×Dic13C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108#11718635C2211yescharacteristic, complemented
109#11718622C2211yescharacteristic
110#11718622C2211yescharacteristic
111#11718622C2211yescharacteristic, complemented
112#11718621C2211yescharacteristic, complemented
113#11718620C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic
116#11718619C2211yescharacteristic
117#11718619C2211yescharacteristic
118#11718619C2211yescharacteristic
119#11718619C2211yescharacteristic
120#11718619C2211yescharacteristic, complemented
121#11718618C2211yescharacteristic
122#11718618C2211yescharacteristic
123#11718618C2211yescharacteristic
124#11718618C2211yescharacteristic, complemented
125#11718618C2211yescharacteristic, complemented
126#11718618C2211yescharacteristic, complemented
127#11718617C2211yescharacteristic
128#11718617C2211yescharacteristic
129#11718617C2211yescharacteristic
130#11718614C2211yescharacteristic, complemented
131#11718613C2211yescharacteristic
132#11718613C2211yescharacteristic, complemented
133#11718612C2211yescharacteristic
134#11718612C2211yescharacteristic
135#11718612C2211yescharacteristic
136#11718612C2211yescharacteristic, complemented
137#11718612C2211yescharacteristic, complemented
138#11718611C2211yescharacteristic
139#11718611C2211yescharacteristic, complemented
140#11718609C2211yescharacteristic
141#11718609C2211yescharacteristic
142#11718609C2211yescharacteristic
143#11718608C2211yescharacteristic
144#11718608C2211yescharacteristic
145#11718608C2211yescharacteristic
146#11718607C2211yescharacteristic
147#11718606C2211yescharacteristic, complemented
148#11718605C2211yescharacteristic
149#11718605C2211yescharacteristic
150#11718605C2211yescharacteristic, complemented
151#11718604C2211yescharacteristic
152C22⋊C4×Dic13C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic, complemented
154C22⋊C4×Dic13C2211yescharacteristic, complemented
155#11718336C2211yescharacteristic, complemented
156#11718334C2211yescharacteristic, complemented
157#11718331C2211yescharacteristic, complemented
158#11718331C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718329C2211yescharacteristic, complemented
162#11718327C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic, complemented
164#11718327C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic, complemented
166#11718326C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic, complemented
168#11718325C2211yescharacteristic, complemented
169C13⋊#401C2211yescharacteristic, complemented
170#11718321C2211yescharacteristic, complemented
171#11718321C2211yescharacteristic, complemented
172#11718320C2211yescharacteristic, complemented
173#11718317C2211yescharacteristic, complemented
174#11718317C2211yescharacteristic, complemented
175#11718315C2211yescharacteristic, complemented
176#11718315C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718312C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718307C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13—24no—
192C23×C4×C13—42no—
193C23×C4×C13—42no—
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C2×#6129—24no—
214C2×#6129—42no—
215C2×#6129—42no—
216C22×D52C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×Dic26C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×#123—24no—
222C13×#123—42no—
223C13×#120—42no—
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241#88207—42no—
242#88207—42no—
243C2×C22⋊Dic13—24no—
244C2×C22⋊Dic13—24no—
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
264#88193—42no—
265#88192—24no—
266#88184—24no—
267#88184—42no—
268#88184—42no—
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×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×C4×Dic13—42no—
304C2×C4×Dic13—42no—
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
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
318#88152—42no—
319#88140—24no—
320#88139—24no—
321#88139—42no—
322#88135—42no—
323#88132—42no—
324#88131—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#35053—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C23×D13C2411yescharacteristic
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—41no—
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—416no—
410C22×C4×C13#4114yescomplemented
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C2×C22⋊D13—41no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13#4114yes—
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475#6129—416no—
476C2×D52—22no—
477C2×D52—41no—
478C2×D52—41no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×Dic26—22no—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—41no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
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—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13#4114yescomplemented
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545C4⋊Dic13—22no—
546C4⋊Dic13—22no—
547C4⋊Dic13—22no—
548C4⋊Dic13—22no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553#6101—41no—
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#2849D1311yescharacteristic, complemented
577#2847—131no—
578#2665—131no—
579#2661—131no—
580#2653—131no—
581#2648—131no—
582#2578—131no—
583#2576—131no—
584#2574—131no—
585#2572—131no—
586#2559—131no—
587#2557—131no—
588#2555—131no—
589#2554—131no—
590#2510—131no—
591#2472—131no—
592#2444—131no—
593#2438—131no—
594#2430—131no—
595#2424—131no—
596#2411—131no—
597#2404—131no—
598#2337—131no—
599#2335—131no—
600#2333—131no—
601#2333—131no—
602C4×#123—131no—
603#2297—131no—
604C2×C4×C22⋊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—44no—
630C23×C13—44no—
631C23×C13—44no—
632C23×C13—44no—
633C23×C13—44no—
634C23×C13—44no—
635C23×C13C2×#4112yes—
636C23×C13C2×#4112yes—
637C23×C13C2×#4112yes—
638C23×C13H(5,𝔽2)12yes—
639C23×C13H(5,𝔽2)12yes—
640C23×C13C2511yescharacteristic
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655D4×C13—44no—
656D4×C13—82no—
657D4×C13—82no—
658C2×C4×C13—28no—
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—21no—
688C2×C4×C13—21no—
689C2×C4×C13—44no—
690C2×C4×C13—44no—
691C2×C4×C13—44no—
692C2×C4×C13—44no—
693C2×C4×C13—44no—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13C2×#4112yes—
696C2×C4×C13H(5,𝔽2)12yes—
697C22⋊D13—44no—
698C22⋊D13—44no—
699C22⋊D13—44no—
700C22⋊D13—82no—
701C22⋊D13—82no—
702C22⋊D13—82no—
703C22⋊D13—82no—
704C22⋊D13—82no—
705C2×Dic13—28no—
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—44no—
745C2×Dic13—44no—
746C2×Dic13—44no—
747C2×Dic13—44no—
748C2×Dic13C2×#4112yes—
749C2×Dic13C2×#4112yes—
750C2×Dic13C2×#4112yes—
751C2×Dic13C2×#4112yes—
752D52—82no—
753C4×D13—44no—
754C4×D13—82no—
755Dic26—44no—
756Dic26—82no—
757C22×#41—131no—
758C24×C4C2×D1311yescharacteristic
759C2×#126—131no—
760C2×#124—131no—
761C2×#124—131no—
762C2×#123—131no—
763C2×#123C2×D1311yescharacteristic
764C2×#123C2×D1311yescharacteristic
765C2×C22⋊Q8—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120—131no—
773C2×#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#386—131no—
869#386—131no—
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#385C2×D1311yescharacteristic
879#385C2×D1311yescharacteristic
880#385C2×D1311yescharacteristic
881#385C2×D1311yescharacteristic
882#383—131no—
883#383—131no—
884#382—131no—
885#381—131no—
886#381—131no—
887#381C2×D1311yescharacteristic
888#381C2×D1311yescharacteristic
889#380—131no—
890#380—131no—
891#380—131no—
892#379C2×D1311yescharacteristic
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#53814yes—
941C22×C13C22×#4111yescharacteristic
942C22×C13C22×#4111yescharacteristic
943C22×C13C22×#4111yescharacteristic
944C22×C13C2×H(5,𝔽2)11yescharacteristic
945C22×C13C2×H(5,𝔽2)11yescharacteristic
946C22×C13C2×H(5,𝔽2)11yescharacteristic
947C22×C13#58511yescharacteristic
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13—41no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973Dic13—22no—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25C22×D1311yescharacteristic
988C2×#41—264no—
989C2×#41—522no—
990C2×#41—522no—
991C22×Q8—131no—
992C22×Q8—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×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—24no—
1025#123—42no—
1026#123—264no—
1027C22⋊Q8—522no—
1028#121—264no—
1029#121—264no—
1030#121—522no—
1031#121—522no—
1032#121—522no—
1033#120—42no—
1034#120—522no—
1035#120—522no—
1036C4×D4—522no—
1037#117—522no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4C22×D1311yescharacteristic
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—264no—
1096C2×C22⋊C4—264no—
1097C2×C22⋊C4C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169C2×C13—24no—
1170C2×C13—42no—
1171C2×C13—42no—
1172C2×C13—81no—
1173C2×C13#344411yescharacteristic
1174C2×C13C2×#53811yescharacteristic
1175C2×C13#346011yescharacteristic
1176C2×C13#349011yescharacteristic
1177C2×C13#349411yescharacteristic
1178C2×C13#351311yescharacteristic
1179C2×C13#351911yescharacteristic
1180D13—81no—
1181D13—81no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—41no—
1188C24—41no—
1189C24—131no—
1190C24—131no—
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—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—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—262no—
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—521no—
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#612914yescomplemented
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—134no—
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—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—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—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23C2×#612912yes—
1432C23#8825112yes—
1433C23#41×D1312yes—
1434C23#41×D1312yes—
1435C23#8825612yes—
1436C23C24×D1311yescharacteristic
1437Q8—524no—
1438Q8—1042no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—524no—
1443D4—524no—
1444D4—524no—
1445D4—1042no—
1446D4—1042no—
1447D4—1042no—
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—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—132no—
1491C2×C4—268no—
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—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22#1171936214yes—
1582C22C22×#612911yescharacteristic
1583C22C2×#8825111yescharacteristic
1584C22C2×#8825111yescharacteristic
1585C22C2×#41×D1311yescharacteristic
1586C22C2×#41×D1311yescharacteristic
1587C22C2×#8825611yescharacteristic
1588C22#1171964811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—262no—
1601C4—262no—
1602C4—262no—
1603C4—262no—
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—1041no—
1619C2—1041no—
1620C2#1312812811yescharacteristic
1621C2C2×#1171936211yescharacteristic
1622C2#1312825411yescharacteristic
1623C2#1312852311yescharacteristic
1624C2#1312857311yescharacteristic
1625C2#1312876811yescharacteristic
1626C2#1312885611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2849C2
hypercenter#2849D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #13123153C2semidirect
2. #13123133C2semidirect
3. #13123118C2semidirect
4. #13121008C2semidirect
5. #13120964C2semidirect
6. #13120899C2semidirect
7. #13120826C2semidirect
8. #13120174C2semidirect
9. #13120136C2semidirect
10. #13120116C2semidirect
11. #13120082C2semidirect
12. #13119969C2semidirect
13. #13119931C2semidirect
14. #13119908C2semidirect
15. #13119892C2semidirect
16. #13119400C2semidirect
17. #13118959C2semidirect
18. #13118590C2semidirect
19. #13118510C2semidirect
20. #13118444C2semidirect
21. #13118368C2semidirect
22. #13118223C2semidirect
23. #13118152C2semidirect
24. #13117650C2semidirect
25. #13117630C2semidirect
26. #13117598C2semidirect
27. #13117597C2semidirect
28. #13117355C2semidirect
29. #13117321C2semidirect
30. C2×C4×C22⋊Dic13C2semidirect
31. C13×#2849C2semidirect
48. C2×#88152C22semidirect
51. C2×#88139C22semidirect
94. #11718654C22semidirect
95. #11718652C22semidirect
96. #11718651C22semidirect
97. #11718651C22semidirect
98. #11718651C22semidirect
99. #11718651C22semidirect
100. #11718646C22semidirect
101. #11718644C22semidirect
102. #11718644C22semidirect
103. #11718642C22semidirect
104. #11718642C22semidirect
105. #11718639C22semidirect
106. C4⋊C4×Dic13C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. #11718635C22semidirect
111. #11718622C22semidirect
112. #11718621C22semidirect
120. #11718619C22semidirect
124. #11718618C22semidirect
125. #11718618C22semidirect
126. #11718618C22semidirect
130. #11718614C22semidirect
132. #11718613C22semidirect
136. #11718612C22semidirect
137. #11718612C22semidirect
139. #11718611C22semidirect
147. #11718606C22semidirect
150. #11718605C22semidirect
153. C22⋊C4×Dic13C22semidirect
154. C22⋊C4×Dic13C22semidirect
155. #11718336C22semidirect
156. #11718334C22semidirect
157. #11718331C22semidirect
158. #11718331C22semidirect
159. #11718330C22semidirect
160. #11718330C22semidirect
161. #11718329C22semidirect
162. #11718327C22semidirect
163. #11718327C22semidirect
164. #11718327C22semidirect
165. #11718327C22semidirect
166. #11718326C22semidirect
167. #11718326C22semidirect
168. #11718325C22semidirect
169. C13⋊#401C22semidirect
170. #11718321C22semidirect
171. #11718321C22semidirect
172. #11718320C22semidirect
173. #11718317C22semidirect
174. #11718317C22semidirect
175. #11718315C22semidirect
176. #11718315C22semidirect
177. #11718315C22semidirect
178. #11718314C22semidirect
179. #11718314C22semidirect
180. #11718314C22semidirect
181. #11718312C22semidirect
182. #11718312C22semidirect
183. #11718311C22semidirect
184. #11718307C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
410. C22×C4×C13#41semidirect
526. C22⋊Dic13#41semidirect
576. #2849D13semidirect
1291. 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
#131231532
#131231332
#131231182
#131210082
#131209642
#131208992
#131208262
#131201742
#131201362
#131201162
#131200822
#131199692
#131199312
#131199082
#131198922
#131194002
#131189592
#131185902
#131185102
#131184442
#131183682
#131182232
#131181522
#131176502
#131176302
#131175982
#131175972
#131173552
#131173212
C2×C4×C22⋊Dic132
C13×#28492
#3505313