Finite Group Databasebeta

← #16035080

Subgroups — #16035080

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#13120381C211yesmaximal, characteristic, complemented
2#13120351C211yesmaximal, characteristic, complemented
3#13120281C211yesmaximal, characteristic, complemented
4#13120251C211yesmaximal, characteristic, complemented
5#13120164C211yesmaximal, characteristic, complemented
6#13120134C211yesmaximal, characteristic, complemented
7#13119959C211yesmaximal, characteristic, complemented
8#13119929C211yesmaximal, characteristic, complemented
9#13119396C211yesmaximal, characteristic, complemented
10#13119337C211yesmaximal, characteristic, complemented
11#13119076C211yesmaximal, characteristic, complemented
12#13118956C211yesmaximal, characteristic, complemented
13#13118660C211yesmaximal, characteristic, complemented
14#13118586C211yesmaximal, characteristic, complemented
15#13118372C211yesmaximal, characteristic
16#13118298C211yesmaximal, characteristic, complemented
17#13118136C211yesmaximal, characteristic, complemented
18#13118123C211yesmaximal, characteristic, complemented
19#13118097C211yesmaximal, characteristic, complemented
20#13118080C211yesmaximal, characteristic, complemented
21C4×#88133C211yesmaximal, characteristic, complemented
22C4×#88139C211yesmaximal, characteristic, complemented
23C4×#88178C211yesmaximal, characteristic, complemented
24C4×#88137C211yesmaximal, characteristic, complemented
25C4×#88184C211yesmaximal, characteristic, complemented
26C4×#88138C211yesmaximal, characteristic, complemented
27C4×#88207C211yesmaximal, characteristic, complemented
28C4×#88207C211yesmaximal, characteristic, complemented
29#13117279C211yesmaximal, characteristic, complemented
30C42×C22⋊D13C211yesmaximal, characteristic, complemented
31C2×C4×C13×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C22×C13×C22⋊C4C2211yescharacteristic
34C22×C13×C22⋊C4C2211yescharacteristic
35C22×C42×C13C2211yescharacteristic
36C22×C42×C13C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C2×#88184C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×#88178C2211yescharacteristic
49C2×#88139C2211yescharacteristic
50C2×#88138C2211yescharacteristic
51C2×#88137C2211yescharacteristic
52C2×#88133C2211yescharacteristic
53C2×C4×D52C2211yescharacteristic, complemented
54C2×#88126C2211yescharacteristic, complemented
55C2×C42×D13C2211yescharacteristic, complemented
56C2×C4×Dic26C2211yescharacteristic, complemented
57C4×C13×C22⋊C4C2211yescharacteristic
58C4×C13×C22⋊C4C2211yescharacteristic
59C4×C13×C22⋊C4C2211yescharacteristic
60C4×C13×C22⋊C4C2211yescharacteristic
61C4×C13×C22⋊C4C2211yescharacteristic
62C4×C13×C22⋊C4C2211yescharacteristic
63C4×C13×C22⋊C4C2211yescharacteristic
64C4×C13×C22⋊C4C2211yescharacteristic
65C2×C13×#95C2211yescharacteristic
66C2×C13×#95C2211yescharacteristic
67#11718908C2211yescharacteristic
68#11718908C2211yescharacteristic
69#11718874C2211yescharacteristic
70#11718874C2211yescharacteristic
71#11718874C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718874C2211yescharacteristic
74#11718874C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718874C2211yescharacteristic
78#11718874C2211yescharacteristic
79#11718873C2211yescharacteristic
80#11718873C2211yescharacteristic
81#11718871C2211yescharacteristic
82#11718871C2211yescharacteristic
83#11718871C2211yescharacteristic
84#11718871C2211yescharacteristic
85#11718871C2211yescharacteristic
86#11718871C2211yescharacteristic
87#11718871C2211yescharacteristic
88#11718871C2211yescharacteristic
89#11718871C2211yescharacteristic
90#11718871C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic
92C4×C22⋊Dic13C2211yescharacteristic
93C4×C22⋊Dic13C2211yescharacteristic
94C4×C22⋊Dic13C2211yescharacteristic
95C4×C22⋊Dic13C2211yescharacteristic
96C4×C22⋊Dic13C2211yescharacteristic
97C4×C22⋊Dic13C2211yescharacteristic
98C4×C22⋊Dic13C2211yescharacteristic
99#11718622C2211yescharacteristic
100#11718622C2211yescharacteristic
101#11718621C2211yescharacteristic
102#11718620C2211yescharacteristic
103#11718620C2211yescharacteristic
104#11718620C2211yescharacteristic
105#11718620C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718618C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718614C2211yescharacteristic
111#11718613C2211yescharacteristic
112#11718613C2211yescharacteristic
113#11718613C2211yescharacteristic
114#11718613C2211yescharacteristic
115#11718612C2211yescharacteristic
116#11718612C2211yescharacteristic
117#11718612C2211yescharacteristic
118#11718612C2211yescharacteristic
119#11718610C2211yescharacteristic
120#11718609C2211yescharacteristic
121#11718609C2211yescharacteristic
122#11718608C2211yescharacteristic
123#11718606C2211yescharacteristic
124#11718606C2211yescharacteristic
125#11718605C2211yescharacteristic
126#11718605C2211yescharacteristic
127#11718601C2211yescharacteristic, complemented
128#11718601C2211yescharacteristic, complemented
129#11718601C2211yescharacteristic, complemented
130#11718601C2211yescharacteristic, complemented
131#11718600C2211yescharacteristic, complemented
132C4×#6103C2211yescharacteristic, complemented
133C4×#6103C2211yescharacteristic, complemented
134C4×#6103C2211yescharacteristic, complemented
135C4×#6103C2211yescharacteristic, complemented
136C4×#6103C2211yescharacteristic, complemented
137C4×#6103C2211yescharacteristic, complemented
138C4×C4⋊Dic13C2211yescharacteristic, complemented
139C4×C4⋊Dic13C2211yescharacteristic, complemented
140#11718594C2211yescharacteristic, complemented
141#11718594C2211yescharacteristic, complemented
142#11718594C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144#11718593C2211yescharacteristic, complemented
145C4×#6101C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147C4×#6101C2211yescharacteristic, complemented
148C4×#6101C2211yescharacteristic, complemented
149C4×#6101C2211yescharacteristic, complemented
150C4×#6101C2211yescharacteristic, complemented
151C42×Dic13C2211yescharacteristic, complemented
152#11718590C2211yescharacteristic, complemented
153#11718589C2211yescharacteristic, complemented
154#11718589C2211yescharacteristic, complemented
155#11718337C2211yescharacteristic, complemented
156#11718336C2211yescharacteristic, complemented
157#11718336C2211yescharacteristic, complemented
158#11718336C2211yescharacteristic, complemented
159#11718335C2211yescharacteristic, complemented
160#11718334C2211yescharacteristic, complemented
161#11718333C2211yescharacteristic, complemented
162#11718331C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718329C2211yescharacteristic, complemented
166#11718328C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic, complemented
168#11718325C2211yescharacteristic, complemented
169C13⋊#401C2211yescharacteristic, complemented
170#11718321C2211yescharacteristic, complemented
171#11718321C2211yescharacteristic, complemented
172#11718320C2211yescharacteristic, complemented
173#11718319C2211yescharacteristic, complemented
174#11718319C2211yescharacteristic, complemented
175#11718319C2211yescharacteristic, complemented
176#11718318C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C23×C4×C13—24no—
189C23×C4×C13—42no—
190C23×C4×C13—42no—
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C2×C13×C22⋊C4—24no—
214C2×C13×C22⋊C4—24no—
215C2×C13×C22⋊C4C2311yescharacteristic
216C2×C13×C22⋊C4C2311yescharacteristic
217C2×C13×C22⋊C4C2311yescharacteristic
218C2×C13×C22⋊C4C2311yescharacteristic
219C2×C13×C22⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C42×C13—42no—
224C2×C42×C13—42no—
225C2×C42×C13C2311yescharacteristic
226C2×C42×C13C2311yescharacteristic
227C2×C42×C13C2311yescharacteristic
228C2×C42×C13C2311yescharacteristic
229C2×C42×C13C2311yescharacteristic
230C2×C42×C13C2311yescharacteristic
231C2×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233#88207—24no—
234#88207—24no—
235C2×C22⋊Dic13C2311yescharacteristic
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
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253#88184—24no—
254C4×C22⋊D13—24no—
255C4×C22⋊D13—24no—
256C4×C22⋊D13—24no—
257C4×C22⋊D13—24no—
258C4×C22⋊D13—42no—
259C4×C22⋊D13—42no—
260C4×C22⋊D13—42no—
261C4×C22⋊D13—42no—
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
286#88178—24no—
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×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
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
317#88139—24no—
318#88138—24no—
319#88137—24no—
320#88133—24no—
321C4×D52—42no—
322#88126—42no—
323C42×D13—42no—
324C4×Dic26—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#34959—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
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C22×C4×C13—22no—
383C22×C4×C13—22no—
384C22×C4×C13—22no—
385C22×C4×C13—22no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—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—41no—
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—41no—
410C22×C4×C13—41no—
411C22×C4×C13—416no—
412C22×C4×C13#4114yes—
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
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
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—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—22no—
437C2×C22⋊D13—22no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13#4114yes—
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C2×D52—22no—
458C2×D52—22no—
459C2×D52—41no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×Dic26—22no—
473C2×Dic26—22no—
474C2×Dic26—41no—
475C13×C22⋊C4—22no—
476C13×C22⋊C4—22no—
477C13×C22⋊C4—22no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4#4114yes—
482C13×C22⋊C4#4114yes—
483C42×C13—22no—
484C42×C13—22no—
485C42×C13—22no—
486C42×C13—22no—
487C42×C13—41no—
488C42×C13—41no—
489C42×C13—41no—
490C42×C13—41no—
491C22⋊Dic13—22no—
492C22⋊Dic13—22no—
493C22⋊Dic13—22no—
494C22⋊Dic13—22no—
495C22⋊Dic13—22no—
496C22⋊Dic13—22no—
497C22⋊Dic13—22no—
498C22⋊Dic13—22no—
499C22⋊Dic13—22no—
500C22⋊Dic13—22no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—22no—
504C22⋊Dic13—41no—
505C22⋊Dic13—41no—
506C22⋊Dic13—41no—
507C22⋊Dic13—41no—
508C22⋊Dic13#4114yes—
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—41no—
520#6103—41no—
521#6103—41no—
522#6103—41no—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527C4⋊Dic13—22no—
528C4⋊Dic13—22no—
529C4⋊Dic13—22no—
530C4⋊Dic13—22no—
531C4⋊Dic13—41no—
532C4⋊Dic13—41no—
533#6101—22no—
534#6101—22no—
535#6101—22no—
536#6101—22no—
537#6101—22no—
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—
550#6101—41no—
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—22no—
560C4×Dic13—22no—
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×#123—131no—
587C4×#121—131no—
588C4×#121—131no—
589C4×#120—131no—
590C4×#120—131no—
591#2290—131no—
592C42×D4—131no—
593C2×C4×C22⋊C4D1311yescharacteristic, complemented
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—28no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—44no—
612C23×C13—44no—
613C23×C13—44no—
614C23×C13—44no—
615C23×C13—44no—
616C23×C13—44no—
617C23×C13C2×#4112yes—
618C23×C13C2×#4112yes—
619C23×C13C2×#4112yes—
620C23×C13C2×#4112yes—
621C23×C13C2×#4112yes—
622C23×C13C2511yescharacteristic
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13C2×#4112yes—
637C2×C4×C13—21no—
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—28no—
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—44no—
667C2×C4×C13—44no—
668C2×C4×C13—44no—
669C2×C4×C13—44no—
670C2×C4×C13—44no—
671C2×C4×C13—44no—
672C2×C4×C13—44no—
673C2×C4×C13—44no—
674C2×C4×C13—44no—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13C2×#4112yes—
679C2×C4×C13C2×#4112yes—
680C2×C4×C13C2×#4112yes—
681C2×C4×C13H(5,𝔽2)12yes—
682C2×C4×C13H(5,𝔽2)12yes—
683C22⋊D13—28no—
684C22⋊D13—44no—
685C22⋊D13—44no—
686C22⋊D13—44no—
687C22⋊D13—44no—
688C22⋊D13—44no—
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—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13C2×#4112yes—
729C2×Dic13C2×#4112yes—
730C2×Dic13C2×#4112yes—
731D52—44no—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736Dic26—44no—
737C24×C4C2×D1311yescharacteristic
738C2×#126—131no—
739C2×#124—131no—
740C2×#123—131no—
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×D4—131no—
756C2×#117—131no—
757C22×C22⋊C4C2×D1311yescharacteristic
758C22×C22⋊C4C2×D1311yescharacteristic
759C22×C42—131no—
760C22×C42C2×D1311yescharacteristic
761C22×C42C2×D1311yescharacteristic
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#388—131no—
816#388—131no—
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387—131no—
825#387—131no—
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#386—131no—
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#385—131no—
850#383—131no—
851#382—131no—
852#381—131no—
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⋊C4—131no—
865C4×C4⋊C4—131no—
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⋊C4C2×D1311yescharacteristic
881C4×C22⋊C4C2×D1311yescharacteristic
882C4×C22⋊C4C2×D1311yescharacteristic
883C4×C22⋊C4C2×D1311yescharacteristic
884C4×C22⋊C4C2×D1311yescharacteristic
885C4×C22⋊C4C2×D1311yescharacteristic
886C4×C22⋊C4C2×D1311yescharacteristic
887C4×C22⋊C4C2×D1311yescharacteristic
888#376—131no—
889C2×#95C2×D1311yescharacteristic
890C2×#95C2×D1311yescharacteristic
891C43—131no—
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—22no—
903C22×C13—22no—
904C22×C13—416no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13—41no—
913C22×C13#52914yes—
914C22×C13C22×#4111yescharacteristic
915C22×C13C22×#4111yescharacteristic
916C22×C13C22×#4111yescharacteristic
917C22×C13C22×#4111yescharacteristic
918C22×C13C22×#4111yescharacteristic
919C22×C13C2×H(5,𝔽2)11yescharacteristic
920C22×C13C2×H(5,𝔽2)11yescharacteristic
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—22no—
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—41no—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—22no—
939C4×C13—22no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13#53814yes—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—41no—
951Dic13—41no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13—41no—
961C25C22×D1311yescharacteristic
962C22×Q8—131no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4—131no—
967C22×D4—131no—
968C22×D4—131no—
969C22×D4—131no—
970C23×C4—24no—
971C23×C4—42no—
972C23×C4—42no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4C22×D1311yescharacteristic
978C23×C4C22×D1311yescharacteristic
979C23×C4C22×D1311yescharacteristic
980C23×C4C22×D1311yescharacteristic
981C23×C4C22×D1311yescharacteristic
982C23×C4C22×D1311yescharacteristic
983C23×C4C22×D1311yescharacteristic
984C23×C4C22×D1311yescharacteristic
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—264no—
989#123—264no—
990C22⋊Q8—264no—
991#121—264no—
992#121—264no—
993#120—264no—
994#120—264no—
995C4×Q8—522no—
996C4×D4—264no—
997C4×D4—264no—
998C4×D4—264no—
999C4×D4—264no—
1000C4×D4—522no—
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⋊C4—131no—
1026C2×C4⋊C4—131no—
1027C2×C4⋊C4—131no—
1028C2×C4⋊C4—131no—
1029C2×C4⋊C4—131no—
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—24no—
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—131no—
1067C2×C22⋊C4—131no—
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—42no—
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×C42C22×D1311yescharacteristic
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#95—131no—
1134#95—131no—
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—24no—
1144C2×C13—42no—
1145C2×C13—42no—
1146C2×C13C2×#52911yescharacteristic
1147C2×C13#344411yescharacteristic
1148C2×C13C2×#53811yescharacteristic
1149C2×C13#348111yescharacteristic
1150C2×C13#348111yescharacteristic
1151C2×C13#348111yescharacteristic
1152C2×C13#348111yescharacteristic
1153D13—42no—
1154D13—81no—
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—131no—
1163C24—131no—
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C24C23×D1311yescharacteristic
1167C2×Q8—262no—
1168C2×Q8—262no—
1169C2×Q8—521no—
1170C2×D4—134no—
1171C2×D4—262no—
1172C2×D4—262no—
1173C2×D4—262no—
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—521no—
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—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—416no—
1221C22×C4—131no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—131no—
1226C22×C4—131no—
1227C22×C4—131no—
1228C22×C4—131no—
1229C22×C4—131no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—262no—
1241C22×C4—262no—
1242C22×C4—262no—
1243C22×C4—262no—
1244C22×C4—262no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4#612714yes—
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—262no—
1261C4⋊C4—262no—
1262C4⋊C4—262no—
1263C4⋊C4—262no—
1264C4⋊C4—262no—
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—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—134no—
1291C22⋊C4—262no—
1292C22⋊C4—262no—
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—521no—
1315C22⋊C4—521no—
1316C22⋊C4—521no—
1317C22⋊C4—521no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4#612714yes—
1327C22⋊C4#612714yes—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—262no—
1343C42—262no—
1344C42—262no—
1345C42—262no—
1346C42—521no—
1347C42—521no—
1348C13#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—132no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23—261no—
1386C23C2×#612712yes—
1387C23C2×#612712yes—
1388C23C2×#612712yes—
1389C23#41×D1312yes—
1390C23#41×D1312yes—
1391C23C24×D1311yescharacteristic
1392Q8—524no—
1393D4—268no—
1394D4—524no—
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—28no—
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—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—132no—
1439C2×C4—132no—
1440C2×C4—132no—
1441C2×C4—261no—
1442C2×C4—261no—
1443C2×C4—261no—
1444C2×C4—261no—
1445C2×C4—261no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—261no—
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—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4C2×#612712yes—
1485C2×C4C2×#612712yes—
1486C2×C4C2×#612712yes—
1487C2×C4C2×#612712yes—
1488C2×C4C2×#612712yes—
1489C2×C4C2×#612712yes—
1490C2×C4#8825112yes—
1491C2×C4#8825112yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—416no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—262no—
1514C22—262no—
1515C22—262no—
1516C22—521no—
1517C22—521no—
1518C22—521no—
1519C22—521no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22#1171923314yes—
1528C22C22×#612711yescharacteristic
1529C22C22×#612711yescharacteristic
1530C22C22×#612711yescharacteristic
1531C22C2×#8825111yescharacteristic
1532C22C2×#8825111yescharacteristic
1533C22C2×#41×D1311yescharacteristic
1534C22C2×#41×D1311yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—262no—
1547C4—262no—
1548C4—262no—
1549C4—521no—
1550C4—521no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4#1171919914yes—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—522no—
1565C2—1041no—
1566C2C2×#1171923311yescharacteristic
1567C2#1312813211yescharacteristic
1568C2C2×#1171919911yescharacteristic
1569C2#1312844011yescharacteristic
1570C2#1312844011yescharacteristic
1571C2#1312844011yescharacteristic
1572C2#1312844011yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C4×C13×C22⋊C4C2
prime radical#13118372C2
hypercenterC2×C4×C22⋊C4D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #13120381C2semidirect
2. #13120351C2semidirect
3. #13120281C2semidirect
4. #13120251C2semidirect
5. #13120164C2semidirect
6. #13120134C2semidirect
7. #13119959C2semidirect
8. #13119929C2semidirect
9. #13119396C2semidirect
10. #13119337C2semidirect
11. #13119076C2semidirect
12. #13118956C2semidirect
13. #13118660C2semidirect
14. #13118586C2semidirect
16. #13118298C2semidirect
17. #13118136C2semidirect
18. #13118123C2semidirect
19. #13118097C2semidirect
20. #13118080C2semidirect
21. C4×#88133C2semidirect
22. C4×#88139C2semidirect
23. C4×#88178C2semidirect
24. C4×#88137C2semidirect
25. C4×#88184C2semidirect
26. C4×#88138C2semidirect
27. C4×#88207C2semidirect
28. C4×#88207C2semidirect
29. #13117279C2semidirect
30. C42×C22⋊D13C2semidirect
31. C2×C4×C13×C22⋊C4C2semidirect
53. C2×C4×D52C22semidirect
54. C2×#88126C22semidirect
55. C2×C42×D13C22semidirect
56. C2×C4×Dic26C22semidirect
127. #11718601C22semidirect
128. #11718601C22semidirect
129. #11718601C22semidirect
130. #11718601C22semidirect
131. #11718600C22semidirect
132. C4×#6103C22semidirect
133. C4×#6103C22semidirect
134. C4×#6103C22semidirect
135. C4×#6103C22semidirect
136. C4×#6103C22semidirect
137. C4×#6103C22semidirect
138. C4×C4⋊Dic13C22semidirect
139. C4×C4⋊Dic13C22semidirect
140. #11718594C22semidirect
141. #11718594C22semidirect
142. #11718594C22semidirect
143. #11718594C22semidirect
144. #11718593C22semidirect
145. C4×#6101C22semidirect
146. C4×#6101C22semidirect
147. C4×#6101C22semidirect
148. C4×#6101C22semidirect
149. C4×#6101C22semidirect
150. C4×#6101C22semidirect
151. C42×Dic13C22semidirect
152. #11718590C22semidirect
153. #11718589C22semidirect
154. #11718589C22semidirect
155. #11718337C22semidirect
156. #11718336C22semidirect
157. #11718336C22semidirect
158. #11718336C22semidirect
159. #11718335C22semidirect
160. #11718334C22semidirect
161. #11718333C22semidirect
162. #11718331C22semidirect
163. #11718330C22semidirect
164. #11718330C22semidirect
165. #11718329C22semidirect
166. #11718328C22semidirect
167. #11718326C22semidirect
168. #11718325C22semidirect
169. C13⋊#401C22semidirect
170. #11718321C22semidirect
171. #11718321C22semidirect
172. #11718320C22semidirect
173. #11718319C22semidirect
174. #11718319C22semidirect
175. #11718319C22semidirect
176. #11718318C22semidirect
177. #11718318C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718314C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718312C22semidirect
184. #11718311C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
593. C2×C4×C22⋊C4D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203812
#131203512
#131202812
#131202512
#131201642
#131201342
#131199592
#131199292
#131193962
#131193372
#131190762
#131189562
#131186602
#131185862
#131183722
#131182982
#131181362
#131181232
#131180972
#131180802
C4×#881332
C4×#881392
C4×#881782
C4×#881372
C4×#881842
C4×#881382
C4×#882072
#131172792
C42×C22⋊D132
C2×C4×C13×C22⋊C42
#3495913