Finite Group Databasebeta

← #16035078

Subgroups — #16035078

Order 3328.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13120393C211yesmaximal, characteristic, complemented
2#13120355C211yesmaximal, characteristic, complemented
3#13120293C211yesmaximal, characteristic, complemented
4#13120255C211yesmaximal, characteristic, complemented
5#13120174C211yesmaximal, characteristic, complemented
6#13120136C211yesmaximal, characteristic, complemented
7#13119969C211yesmaximal, characteristic, complemented
8#13119931C211yesmaximal, characteristic, complemented
9#13119393C211yesmaximal, characteristic, complemented
10#13119344C211yesmaximal, characteristic, complemented
11#13119088C211yesmaximal, characteristic, complemented
12#13118960C211yesmaximal, characteristic, complemented
13#13118665C211yesmaximal, characteristic, complemented
14#13118585C211yesmaximal, characteristic, complemented
15#13118371C211yesmaximal, characteristic
16#13118295C211yesmaximal, characteristic, complemented
17#13118136C211yesmaximal, characteristic, complemented
18#13118123C211yesmaximal, characteristic, complemented
19#13118099C211yesmaximal, characteristic, complemented
20#13118074C211yesmaximal, characteristic, complemented
21C4×#88152C211yesmaximal, characteristic, complemented
22C4×#88139C211yesmaximal, characteristic, complemented
23C4×#88151C211yesmaximal, characteristic, complemented
24C4×#88184C211yesmaximal, characteristic, complemented
25C4×#88138C211yesmaximal, characteristic, complemented
26C4×#88136C211yesmaximal, characteristic, complemented
27C4×#88191C211yesmaximal, characteristic, complemented
28#13117277C211yesmaximal, characteristic, complemented
29C42×C22⋊D13C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C4×C13×#123C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C22×C42×C13C2211yescharacteristic, complemented
36C2×#88191C2211yescharacteristic
37C2×#88184C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic, complemented
44C2×#88152C2211yescharacteristic
45C2×#88151C2211yescharacteristic
46C2×#88139C2211yescharacteristic
47C2×#88138C2211yescharacteristic
48C2×#88136C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C4×D52C2211yescharacteristic
52C2×C4×D52C2211yescharacteristic
53C2×#88126C2211yescharacteristic, complemented
54C2×C42×D13C2211yescharacteristic
55C2×C42×D13C2211yescharacteristic
56C2×C4×Dic26C2211yescharacteristic, complemented
57C13×#388C2211yescharacteristic
58C13×#388C2211yescharacteristic
59C13×#387C2211yescharacteristic, complemented
60C13×#387C2211yescharacteristic, complemented
61C13×#386C2211yescharacteristic
62C13×#385C2211yescharacteristic, complemented
63C13×#381C2211yescharacteristic, complemented
64C4×C13×C4⋊C4C2211yescharacteristic, complemented
65C4×C13×C4⋊C4C2211yescharacteristic, complemented
66C4×C13×C22⋊C4C2211yescharacteristic
67C4×C13×C22⋊C4C2211yescharacteristic
68C4×C13×C22⋊C4C2211yescharacteristic, complemented
69#11718884C2211yescharacteristic
70#11718883C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718874C2211yescharacteristic, complemented
74#11718873C2211yescharacteristic, complemented
75C4×C22⋊Dic13C2211yescharacteristic
76C4×C22⋊Dic13C2211yescharacteristic
77C4×C22⋊Dic13C2211yescharacteristic, complemented
78C4×C22⋊Dic13C2211yescharacteristic, complemented
79C4×C22⋊Dic13C2211yescharacteristic, complemented
80#11718654C2211yescharacteristic, complemented
81#11718654C2211yescharacteristic, complemented
82#11718653C2211yescharacteristic
83#11718652C2211yescharacteristic
84#11718651C2211yescharacteristic
85#11718651C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic, complemented
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718648C2211yescharacteristic
92#11718646C2211yescharacteristic, complemented
93#11718645C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718641C2211yescharacteristic, complemented
96#11718639C2211yescharacteristic, complemented
97#11718635C2211yescharacteristic, complemented
98#11718622C2211yescharacteristic
99#11718622C2211yescharacteristic
100#11718622C2211yescharacteristic, complemented
101#11718620C2211yescharacteristic
102#11718619C2211yescharacteristic
103#11718618C2211yescharacteristic
104#11718618C2211yescharacteristic, complemented
105#11718617C2211yescharacteristic
106#11718617C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718616C2211yescharacteristic
109#11718616C2211yescharacteristic
110#11718614C2211yescharacteristic
111#11718613C2211yescharacteristic
112#11718613C2211yescharacteristic
113#11718613C2211yescharacteristic, complemented
114#11718612C2211yescharacteristic
115#11718612C2211yescharacteristic, complemented
116#11718611C2211yescharacteristic
117#11718609C2211yescharacteristic
118#11718609C2211yescharacteristic
119#11718609C2211yescharacteristic, complemented
120#11718608C2211yescharacteristic, complemented
121#11718607C2211yescharacteristic
122#11718605C2211yescharacteristic
123C22⋊C4×Dic13C2211yescharacteristic
124C22⋊C4×Dic13C2211yescharacteristic
125#11718601C2211yescharacteristic
126#11718601C2211yescharacteristic, complemented
127#11718600C2211yescharacteristic
128C4×#6103C2211yescharacteristic
129C4×#6103C2211yescharacteristic
130C4×#6103C2211yescharacteristic
131C4×#6103C2211yescharacteristic
132C4×#6103C2211yescharacteristic
133C4×#6103C2211yescharacteristic
134C4×#6103C2211yescharacteristic
135C4×#6103C2211yescharacteristic
136C4×#6103C2211yescharacteristic, complemented
137C4×#6103C2211yescharacteristic, complemented
138C4×C4⋊Dic13C2211yescharacteristic, complemented
139C4×C4⋊Dic13C2211yescharacteristic, complemented
140#11718593C2211yescharacteristic, complemented
141C4×#6101C2211yescharacteristic, complemented
142C4×#6101C2211yescharacteristic, complemented
143C4×#6101C2211yescharacteristic, complemented
144C4×#6101C2211yescharacteristic, complemented
145C42×Dic13C2211yescharacteristic, complemented
146#11718589C2211yescharacteristic, complemented
147#11718336C2211yescharacteristic
148#11718336C2211yescharacteristic
149#11718336C2211yescharacteristic, complemented
150#11718334C2211yescharacteristic
151#11718333C2211yescharacteristic
152#11718331C2211yescharacteristic
153#11718331C2211yescharacteristic, complemented
154#11718330C2211yescharacteristic
155#11718330C2211yescharacteristic, complemented
156#11718330C2211yescharacteristic, complemented
157#11718329C2211yescharacteristic
158#11718329C2211yescharacteristic
159#11718329C2211yescharacteristic
160#11718329C2211yescharacteristic
161#11718328C2211yescharacteristic
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171C13⋊#401C2211yescharacteristic, complemented
172#11718321C2211yescharacteristic, complemented
173#11718321C2211yescharacteristic, complemented
174#11718321C2211yescharacteristic, complemented
175#11718320C2211yescharacteristic, complemented
176#11718319C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C22×D52C2311yescharacteristic
199C22×D52C2311yescharacteristic
200C22×C4×D13—24no—
201C22×C4×D13—42no—
202C22×C4×D13—42no—
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#123—24no—
214C4×D4×C13—42no—
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C42×C13—42no—
229C2×C42×C13C2311yescharacteristic
230C2×C42×C13C2311yescharacteristic
231C2×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
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
245C2×C22⋊Dic13C2311yescharacteristic
246#88191—24no—
247#88184—24no—
248C4×C22⋊D13—24no—
249C4×C22⋊D13—24no—
250C4×C22⋊D13—24no—
251C4×C22⋊D13—42no—
252C4×C22⋊D13—42no—
253C4×C22⋊D13—42no—
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×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312#88152—24no—
313#88151—24no—
314#88139—24no—
315#88138—24no—
316#88136—24no—
317C22⋊C4×D13—24no—
318C22⋊C4×D13—24no—
319C4×D52—24no—
320C4×D52—42no—
321#88126—42no—
322C42×D13—42no—
323C42×D13—42no—
324C4×Dic26—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
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#34959—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13C2411yescharacteristic
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C2×D4×C13—22no—
383C2×D4×C13—22no—
384C2×D4×C13—41no—
385C22×C4×C13—22no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
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
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C2×C22⋊D13—22no—
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13#4114yes—
422C22×Dic13—22no—
423C22×Dic13—41no—
424C22×Dic13—41no—
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C2×D52—22no—
439C2×D52—22no—
440C2×D52—22no—
441C2×D52—22no—
442C2×D52—22no—
443C2×D52—41no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
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—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—416no—
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—
470C2×C4×D13—41no—
471C2×C4×D13#4114yes—
472C2×Dic26—22no—
473C2×Dic26—22no—
474C2×Dic26—41no—
475C13×C4⋊C4—22no—
476C13×C4⋊C4—22no—
477C13×C4⋊C4—22no—
478C13×C4⋊C4—22no—
479C13×C4⋊C4—41no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—22no—
484C13×C22⋊C4—22no—
485C13×C22⋊C4—41no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4#4114yes—
488C42×C13—22no—
489C42×C13—22no—
490C42×C13—22no—
491C42×C13—22no—
492C42×C13—22no—
493C42×C13—41no—
494C42×C13—41no—
495C22⋊Dic13—22no—
496C22⋊Dic13—22no—
497C22⋊Dic13—22no—
498C22⋊Dic13—22no—
499C22⋊Dic13—22no—
500C22⋊Dic13—22no—
501C22⋊Dic13—22no—
502C22⋊Dic13—41no—
503C22⋊Dic13—41no—
504C22⋊Dic13—41no—
505#6103—22no—
506#6103—22no—
507#6103—22no—
508#6103—22no—
509#6103—22no—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—41no—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103#4114yes—
530#6103#4114yes—
531C4⋊Dic13—22no—
532C4⋊Dic13—22no—
533C4⋊Dic13—22no—
534C4⋊Dic13—22no—
535C4⋊Dic13—22no—
536C4⋊Dic13—41no—
537C4⋊Dic13—41no—
538#6101—22no—
539#6101—22no—
540#6101—22no—
541#6101—22no—
542#6101—22no—
543#6101—41no—
544#6101—41no—
545#6101—41no—
546#6101—41no—
547#6101—41no—
548#6101—41no—
549#6101—41no—
550C4×Dic13—22no—
551C4×Dic13—22no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—22no—
558C4×Dic13—22no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563#2597—131no—
564#2595—131no—
565#2589—131no—
566#2587—131no—
567#2578—131no—
568#2576—131no—
569#2559—131no—
570#2557—131no—
571#2510—131no—
572#2505—131no—
573#2480—131no—
574#2472—131no—
575#2450—131no—
576#2444—131no—
577#2424—131no—
578#2418—131no—
579#2401—131no—
580#2398—131no—
581#2395—131no—
582#2392—131no—
583C4×#126—131no—
584C4×#124—131no—
585C4×C22⋊Q8—131no—
586C4×#123D1311yescharacteristic, complemented
587C4×#121—131no—
588C4×#121—131no—
589C4×#120—131no—
590C4×#120—131no—
591#2290—131no—
592C42×D4—131no—
593C2×C4×C22⋊C4—131no—
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13C2×#4112yes—
607C23×C13C2×#4112yes—
608C23×C13C2511yescharacteristic
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—28no—
614C22×D13—21no—
615C22×D13—21no—
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—44no—
628C22×D13—44no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13—44no—
633C22×D13C2×#4112yes—
634C22×D13C2×#4112yes—
635C22×D13C2×#4112yes—
636C22×D13C2×#4112yes—
637D4×C13—44no—
638C2×C4×C13—21no—
639C2×C4×C13—21no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—44no—
671C2×C4×C13—44no—
672C2×C4×C13—44no—
673C2×C4×C13—44no—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13C2×#4112yes—
679C2×C4×C13H(5,𝔽2)12yes—
680C2×C4×C13H(5,𝔽2)12yes—
681C22⋊D13—28no—
682C22⋊D13—44no—
683C22⋊D13—44no—
684C22⋊D13—44no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
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—44no—
721C2×Dic13C2×#4112yes—
722C2×Dic13C2×#4112yes—
723C2×Dic13C2×#4112yes—
724C2×Dic13C2×#4112yes—
725D52—44no—
726D52—44no—
727C4×D13—28no—
728C4×D13—44no—
729C4×D13—44no—
730C4×D13—44no—
731C4×D13—44no—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736Dic26—44no—
737C24×C4—131no—
738C2×#126—131no—
739C2×#124—131no—
740C2×#123C2×D1311yescharacteristic
741C2×C22⋊Q8—131no—
742C2×#121—131no—
743C2×#121—131no—
744C2×#120—131no—
745C2×#120—131no—
746C2×C4×Q8—131no—
747C2×C4×D4—131no—
748C2×C4×D4—131no—
749C2×C4×D4—131no—
750C2×C4×D4—131no—
751C2×C4×D4—131no—
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4—131no—
755C2×C4×D4C2×D1311yescharacteristic
756C2×#117—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
759C22×C42—131no—
760C22×C42—131no—
761C22×C42C2×D1311yescharacteristic, complemented
762#401—131no—
763#400—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400—131no—
768#400—131no—
769#399—131no—
770#398—131no—
771#398—131no—
772#397—131no—
773#397—131no—
774#397—131no—
775#397—131no—
776#397—131no—
777#397—131no—
778#397—131no—
779#397—131no—
780#397—131no—
781#396—131no—
782#396—131no—
783#396—131no—
784#394—131no—
785#394—131no—
786#394—131no—
787#394—131no—
788#394—131no—
789#394—131no—
790#394—131no—
791#393—131no—
792#393—131no—
793#392—131no—
794#391—131no—
795#391—131no—
796#390—131no—
797#390—131no—
798#390—131no—
799#389—131no—
800#389—131no—
801#389—131no—
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388C2×D1311yescharacteristic
816#388C2×D1311yescharacteristic
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387C2×D1311yescharacteristic, complemented
825#387C2×D1311yescharacteristic, complemented
826#386—131no—
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386—131no—
836#386—131no—
837#386—131no—
838#386C2×D1311yescharacteristic
839#385—131no—
840#385—131no—
841#385—131no—
842#385—131no—
843#385—131no—
844#385—131no—
845#385—131no—
846#385—131no—
847#385—131no—
848#385—131no—
849#385C2×D1311yescharacteristic, complemented
850#383—131no—
851#382—131no—
852#381C2×D1311yescharacteristic, complemented
853#380—131no—
854#380—131no—
855#380—131no—
856#379—131no—
857#379—131no—
858C4×C4⋊C4—131no—
859C4×C4⋊C4—131no—
860C4×C4⋊C4—131no—
861C4×C4⋊C4—131no—
862C4×C4⋊C4—131no—
863C4×C4⋊C4—131no—
864C4×C4⋊C4C2×D1311yescharacteristic, complemented
865C4×C4⋊C4C2×D1311yescharacteristic, complemented
866C4×C22⋊C4—131no—
867C4×C22⋊C4—131no—
868C4×C22⋊C4—131no—
869C4×C22⋊C4—131no—
870C4×C22⋊C4—131no—
871C4×C22⋊C4—131no—
872C4×C22⋊C4—131no—
873C4×C22⋊C4—131no—
874C4×C22⋊C4—131no—
875C4×C22⋊C4—131no—
876C4×C22⋊C4—131no—
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4C2×D1311yescharacteristic
886C4×C22⋊C4C2×D1311yescharacteristic
887C4×C22⋊C4C2×D1311yescharacteristic, complemented
888#376—131no—
889C2×#95—131no—
890C2×#95—131no—
891C43—131no—
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—41no—
899C22×C13—41no—
900C22×C13—41no—
901C22×C13—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13C22×#4111yescharacteristic
907C22×C13C22×#4111yescharacteristic
908C22×C13C22×#4111yescharacteristic
909C22×C13C22×#4111yescharacteristic
910C22×C13C22×#4111yescharacteristic
911C22×C13C2×H(5,𝔽2)11yescharacteristic
912C22×C13C2×H(5,𝔽2)11yescharacteristic
913C2×D13—22no—
914C2×D13—22no—
915C2×D13—22no—
916C2×D13—22no—
917C2×D13—22no—
918C2×D13—22no—
919C2×D13—22no—
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—416no—
923C2×D13—41no—
924C2×D13—41no—
925C2×D13—41no—
926C2×D13—41no—
927C2×D13—41no—
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13#52914yes—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—22no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13—41no—
947C4×C13#53814yes—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—22no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13—41no—
961C25—131no—
962C22×Q8—131no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4—131no—
967C22×D4—131no—
968C22×D4—131no—
969C22×D4C22×D1311yescharacteristic
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—264no—
981C23×C4—522no—
982C23×C4—522no—
983C23×C4C22×D1311yescharacteristic
984C23×C4C22×D1311yescharacteristic
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—264no—
989#123—24no—
990C22⋊Q8—264no—
991#121—264no—
992#121—264no—
993#120—264no—
994#120—264no—
995C4×Q8—522no—
996C4×D4—42no—
997C4×D4—264no—
998C4×D4—264no—
999C4×D4—264no—
1000C4×D4—264no—
1001C4×D4—522no—
1002C4×D4—522no—
1003C4×D4—522no—
1004C4×D4—522no—
1005#117—522no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
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⋊C4C22×D1311yescharacteristic
1026C2×C4⋊C4C22×D1311yescharacteristic
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C22⋊C4—131no—
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
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—264no—
1067C2×C22⋊C4—264no—
1068C2×C22⋊C4C22×D1311yescharacteristic
1069C2×C22⋊C4C22×D1311yescharacteristic
1070C2×C22⋊C4C22×D1311yescharacteristic
1071C2×C22⋊C4C22×D1311yescharacteristic
1072C2×C22⋊C4C22×D1311yescharacteristic
1073C2×C22⋊C4C22×D1311yescharacteristic
1074C2×C22⋊C4C22×D1311yescharacteristic
1075C2×C22⋊C4C22×D1311yescharacteristic
1076C2×C42—42no—
1077C2×C42—131no—
1078C2×C42—131no—
1079C2×C42—131no—
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—131no—
1088C2×C42—131no—
1089C2×C42—131no—
1090C2×C42—522no—
1091C2×C42—522no—
1092C2×C42C22×D1311yescharacteristic
1093C2×C42C22×D1311yescharacteristic
1094C2×C42C22×D1311yescharacteristic
1095C2×C42C22×D1311yescharacteristic
1096C2×C42C22×D1311yescharacteristic
1097C2×C42C22×D1311yescharacteristic
1098C2×C42C22×D1311yescharacteristic
1099#95—131no—
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95—131no—
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#95C22×D1311yescharacteristic
1134#95C22×D1311yescharacteristic
1135#95C22×D1311yescharacteristic
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143C2×C13—42no—
1144C2×C13—42no—
1145C2×C13C2×#52911yescharacteristic
1146C2×C13#344411yescharacteristic
1147C2×C13C2×#53811yescharacteristic
1148C2×C13#348111yescharacteristic
1149C2×C13#348111yescharacteristic
1150C2×C13#348111yescharacteristic
1151C2×C13#348111yescharacteristic
1152D13—24no—
1153D13—42no—
1154D13—81no—
1155C24—131no—
1156C24—131no—
1157C24—131no—
1158C24—262no—
1159C24—262no—
1160C24—262no—
1161C24—262no—
1162C24—262no—
1163C24—521no—
1164C24—521no—
1165C24C23×D1311yescharacteristic
1166C24C23×D1311yescharacteristic
1167C2×Q8—262no—
1168C2×Q8—262no—
1169C2×Q8—521no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—41no—
1173C2×D4—134no—
1174C2×D4—262no—
1175C2×D4—262no—
1176C2×D4—262no—
1177C2×D4—262no—
1178C2×D4—262no—
1179C2×D4—262no—
1180C2×D4—262no—
1181C2×D4—262no—
1182C2×D4—262no—
1183C2×D4—262no—
1184C2×D4—262no—
1185C2×D4—262no—
1186C2×D4—262no—
1187C2×D4—521no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4—521no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—134no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—131no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—131no—
1217C22×C4—262no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
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—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—5216no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4C23×D1311yescharacteristic
1248C22×C4C23×D1311yescharacteristic
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C22×C4C23×D1311yescharacteristic
1256C22×C4C23×D1311yescharacteristic
1257C22×C4C23×D1311yescharacteristic
1258C22×C4C23×D1311yescharacteristic
1259C22×C4C23×D1311yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—262no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—262no—
1272C4⋊C4—262no—
1273C4⋊C4—262no—
1274C4⋊C4—262no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—134no—
1292C22⋊C4—134no—
1293C22⋊C4—262no—
1294C22⋊C4—262no—
1295C22⋊C4—262no—
1296C22⋊C4—262no—
1297C22⋊C4—262no—
1298C22⋊C4—262no—
1299C22⋊C4—262no—
1300C22⋊C4—262no—
1301C22⋊C4—262no—
1302C22⋊C4—262no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
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—262no—
1316C22⋊C4—262no—
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#612714yes—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—41no—
1334C42—41no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—262no—
1343C42—262no—
1344C42—521no—
1345C42—521no—
1346C42—521no—
1347C42—521no—
1348C13#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—132no—
1362C23—132no—
1363C23—132no—
1364C23—132no—
1365C23—268no—
1366C23—261no—
1367C23—261no—
1368C23—261no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—524no—
1384C23—524no—
1385C23—524no—
1386C23—524no—
1387C23—524no—
1388C23—524no—
1389C23C2×#612712yes—
1390C23#41×D1312yes—
1391C23C24×D1311yescharacteristic
1392Q8—524no—
1393D4—44no—
1394D4—268no—
1395D4—524no—
1396D4—524no—
1397D4—524no—
1398D4—524no—
1399D4—524no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—132no—
1437C2×C4—132no—
1438C2×C4—132no—
1439C2×C4—132no—
1440C2×C4—261no—
1441C2×C4—261no—
1442C2×C4—261no—
1443C2×C4—261no—
1444C2×C4—261no—
1445C2×C4—261no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—268no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
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—524no—
1477C2×C4—524no—
1478C2×C4—524no—
1479C2×C4—524no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4—524no—
1485C2×C4C2×#612712yes—
1486C2×C4C2×#612712yes—
1487C2×C4#8825112yes—
1488C2×C4#41×D1312yes—
1489C2×C4#41×D1312yes—
1490C2×C4#41×D1312yes—
1491C2×C4#8825612yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—134no—
1507C22—262no—
1508C22—262no—
1509C22—262no—
1510C22—262no—
1511C22—262no—
1512C22—262no—
1513C22—262no—
1514C22—262no—
1515C22—262no—
1516C22—5216no—
1517C22—521no—
1518C22—521no—
1519C22—521no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22—521no—
1528C22C22×#612711yescharacteristic
1529C22C2×#8825111yescharacteristic
1530C22C2×#41×D1311yescharacteristic
1531C22C2×#41×D1311yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22C2×#41×D1311yescharacteristic
1534C22C2×#8825611yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—262no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4#1171936214yes—
1561C2—42no—
1562C2—42no—
1563C2—264no—
1564C2—522no—
1565C2—1041no—
1566C2D13×#52911yescharacteristic
1567C2#1312812911yescharacteristic
1568C2C2×#1171936211yescharacteristic
1569C2#1312843811yescharacteristic
1570C2#1312844011yescharacteristic
1571C2#1312844211yescharacteristic
1572C2#1312844611yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC4×C13×#123C2
prime radical#13118371C2
hypercenterC4×#123D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. #13120393C2semidirect
2. #13120355C2semidirect
3. #13120293C2semidirect
4. #13120255C2semidirect
5. #13120174C2semidirect
6. #13120136C2semidirect
7. #13119969C2semidirect
8. #13119931C2semidirect
9. #13119393C2semidirect
10. #13119344C2semidirect
11. #13119088C2semidirect
12. #13118960C2semidirect
13. #13118665C2semidirect
14. #13118585C2semidirect
16. #13118295C2semidirect
17. #13118136C2semidirect
18. #13118123C2semidirect
19. #13118099C2semidirect
20. #13118074C2semidirect
21. C4×#88152C2semidirect
22. C4×#88139C2semidirect
23. C4×#88151C2semidirect
24. C4×#88184C2semidirect
25. C4×#88138C2semidirect
26. C4×#88136C2semidirect
27. C4×#88191C2semidirect
28. #13117277C2semidirect
29. C42×C22⋊D13C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C4×C13×#123C2semidirect
35. C22×C42×C13C22semidirect
43. C2×C4×C22⋊D13C22semidirect
53. C2×#88126C22semidirect
56. C2×C4×Dic26C22semidirect
59. C13×#387C22semidirect
60. C13×#387C22semidirect
62. C13×#385C22semidirect
63. C13×#381C22semidirect
64. C4×C13×C4⋊C4C22semidirect
65. C4×C13×C4⋊C4C22semidirect
68. C4×C13×C22⋊C4C22semidirect
73. #11718874C22semidirect
74. #11718873C22semidirect
77. C4×C22⋊Dic13C22semidirect
78. C4×C22⋊Dic13C22semidirect
79. C4×C22⋊Dic13C22semidirect
80. #11718654C22semidirect
81. #11718654C22semidirect
85. #11718651C22semidirect
86. #11718651C22semidirect
92. #11718646C22semidirect
93. #11718645C22semidirect
94. #11718642C22semidirect
95. #11718641C22semidirect
96. #11718639C22semidirect
97. #11718635C22semidirect
100. #11718622C22semidirect
104. #11718618C22semidirect
113. #11718613C22semidirect
115. #11718612C22semidirect
119. #11718609C22semidirect
120. #11718608C22semidirect
126. #11718601C22semidirect
136. C4×#6103C22semidirect
137. C4×#6103C22semidirect
138. C4×C4⋊Dic13C22semidirect
139. C4×C4⋊Dic13C22semidirect
140. #11718593C22semidirect
141. C4×#6101C22semidirect
142. C4×#6101C22semidirect
143. C4×#6101C22semidirect
144. C4×#6101C22semidirect
145. C42×Dic13C22semidirect
146. #11718589C22semidirect
149. #11718336C22semidirect
153. #11718331C22semidirect
155. #11718330C22semidirect
156. #11718330C22semidirect
171. C13⋊#401C22semidirect
172. #11718321C22semidirect
173. #11718321C22semidirect
174. #11718321C22semidirect
175. #11718320C22semidirect
176. #11718319C22semidirect
177. #11718319C22semidirect
178. #11718315C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718314C22semidirect
182. #11718314C22semidirect
183. #11718312C22semidirect
184. #11718311C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
586. C4×#123D13semidirect
761. C22×C42C2×D13semidirect
824. #387C2×D13semidirect
825. #387C2×D13semidirect
849. #385C2×D13semidirect
852. #381C2×D13semidirect
864. C4×C4⋊C4C2×D13semidirect
865. C4×C4⋊C4C2×D13semidirect
887. C4×C22⋊C4C2×D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203932
#131203552
#131202932
#131202552
#131201742
#131201362
#131199692
#131199312
#131193932
#131193442
#131190882
#131189602
#131186652
#131185852
#131183712
#131182952
#131181362
#131181232
#131180992
#131180742
C4×#881522
C4×#881392
C4×#881512
C4×#881842
C4×#881382
C4×#881362
C4×#881912
#131172772
C42×C22⋊D132
C4×C22⋊C4×D132
C4×C13×#1232
#3495913