Finite Group Databasebeta

← #16035077

Subgroups — #16035077

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#13120391C211yesmaximal, characteristic, complemented
2#13120358C211yesmaximal, characteristic, complemented
3#13120283C211yesmaximal, characteristic, complemented
4#13120250C211yesmaximal, characteristic, complemented
5#13120174C211yesmaximal, characteristic, complemented
6#13120141C211yesmaximal, characteristic, complemented
7#13119961C211yesmaximal, characteristic, complemented
8#13119928C211yesmaximal, characteristic, complemented
9#13119398C211yesmaximal, characteristic, complemented
10#13119341C211yesmaximal, characteristic, complemented
11#13119076C211yesmaximal, characteristic, complemented
12#13118961C211yesmaximal, characteristic, complemented
13#13118654C211yesmaximal, characteristic, complemented
14#13118582C211yesmaximal, characteristic, complemented
15#13118294C211yesmaximal, characteristic, complemented
16#13118138C211yesmaximal, characteristic, complemented
17#13118124C211yesmaximal, characteristic, complemented
18#13118092C211yesmaximal, characteristic, complemented
19#13118071C211yesmaximal, characteristic, complemented
20#13117390C211yesmaximal, characteristic, complemented
21#13117383C211yesmaximal, characteristic, complemented
22#13117368C211yesmaximal, characteristic, complemented
23#13117361C211yesmaximal, characteristic, complemented
24#121×Dic13C211yesmaximal, characteristic, complemented
25#121×Dic13C211yesmaximal, characteristic, complemented
26#120×Dic13C211yesmaximal, characteristic, complemented
27#120×Dic13C211yesmaximal, characteristic, complemented
28#13117276C211yesmaximal, characteristic, complemented
29C4×D4×Dic13C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic13C211yesmaximal, characteristic, complemented
31C13×#2424C211yesmaximal, characteristic
32C24×Dic13C2211yescharacteristic
33C2×C13×#121C2211yescharacteristic
34C2×C13×#121C2211yescharacteristic
35C2×C13×#120C2211yescharacteristic
36C2×C13×#120C2211yescharacteristic
37C2×C4×D4×C13C2211yescharacteristic
38C22×C13×C22⋊C4C2211yescharacteristic
39C22×C22⋊Dic13C2211yescharacteristic
40C2×#88190C2211yescharacteristic
41C2×#88189C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×D4×Dic13C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×D4×Dic13C2211yescharacteristic
46C2×D4×Dic13C2211yescharacteristic
47C2×D4×Dic13C2211yescharacteristic
48C2×D4×Dic13C2211yescharacteristic
49C2×D4×Dic13C2211yescharacteristic, complemented
50C22×C4×Dic13C2211yescharacteristic
51C22×C4×Dic13C2211yescharacteristic
52C22×C4×Dic13C2211yescharacteristic, complemented
53C2×#88141C2211yescharacteristic, complemented
54C2×#88133C2211yescharacteristic
55C2×#88132C2211yescharacteristic
56C2×#88131C2211yescharacteristic, complemented
57C13×#396C2211yescharacteristic
58C13×#394C2211yescharacteristic
59C13×#394C2211yescharacteristic
60C13×#392C2211yescharacteristic
61C13×#390C2211yescharacteristic
62C13×#388C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#385C2211yescharacteristic
66#11718908C2211yescharacteristic
67#11718908C2211yescharacteristic
68#11718883C2211yescharacteristic
69#11718883C2211yescharacteristic
70#11718883C2211yescharacteristic
71#11718883C2211yescharacteristic
72#11718883C2211yescharacteristic, complemented
73#11718882C2211yescharacteristic
74#11718882C2211yescharacteristic, complemented
75#11718881C2211yescharacteristic
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic
81#11718881C2211yescharacteristic
82#11718881C2211yescharacteristic
83#11718881C2211yescharacteristic
84#11718881C2211yescharacteristic
85#11718881C2211yescharacteristic, complemented
86#11718873C2211yescharacteristic
87#11718873C2211yescharacteristic, complemented
88#11718871C2211yescharacteristic
89#11718871C2211yescharacteristic
90#11718871C2211yescharacteristic, complemented
91C4×C22⋊Dic13C2211yescharacteristic
92C4×C22⋊Dic13C2211yescharacteristic, complemented
93C2×#88071C2211yescharacteristic
94C2×#88071C2211yescharacteristic
95#11718647C2211yescharacteristic, complemented
96#11718647C2211yescharacteristic, complemented
97#11718647C2211yescharacteristic, complemented
98#11718647C2211yescharacteristic, complemented
99#11718646C2211yescharacteristic, complemented
100#11718646C2211yescharacteristic, complemented
101#11718645C2211yescharacteristic, complemented
102#11718639C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104#11718638C2211yescharacteristic, complemented
105C4⋊C4×Dic13C2211yescharacteristic, complemented
106C4⋊C4×Dic13C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109#11718633C2211yescharacteristic, complemented
110#11718614C2211yescharacteristic
111#11718614C2211yescharacteristic
112#11718614C2211yescharacteristic
113#11718614C2211yescharacteristic, complemented
114#11718614C2211yescharacteristic, complemented
115#11718613C2211yescharacteristic
116#11718613C2211yescharacteristic
117#11718613C2211yescharacteristic, complemented
118#11718613C2211yescharacteristic, complemented
119#11718612C2211yescharacteristic
120#11718612C2211yescharacteristic, complemented
121#11718612C2211yescharacteristic, complemented
122#11718612C2211yescharacteristic, complemented
123#11718611C2211yescharacteristic
124#11718611C2211yescharacteristic
125#11718611C2211yescharacteristic
126#11718611C2211yescharacteristic
127#11718611C2211yescharacteristic
128#11718611C2211yescharacteristic
129#11718610C2211yescharacteristic
130#11718609C2211yescharacteristic
131#11718609C2211yescharacteristic, complemented
132#11718608C2211yescharacteristic
133#11718608C2211yescharacteristic, complemented
134#11718607C2211yescharacteristic
135#11718606C2211yescharacteristic
136#11718606C2211yescharacteristic
137#11718606C2211yescharacteristic
138#11718606C2211yescharacteristic, complemented
139#11718605C2211yescharacteristic
140#11718605C2211yescharacteristic
141#11718605C2211yescharacteristic
142#11718605C2211yescharacteristic, complemented
143#11718605C2211yescharacteristic, complemented
144#11718605C2211yescharacteristic, complemented
145#11718604C2211yescharacteristic, complemented
146#11718603C2211yescharacteristic
147C22⋊C4×Dic13C2211yescharacteristic
148C22⋊C4×Dic13C2211yescharacteristic
149C22⋊C4×Dic13C2211yescharacteristic
150C22⋊C4×Dic13C2211yescharacteristic
151C22⋊C4×Dic13C2211yescharacteristic
152C22⋊C4×Dic13C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic
155C22⋊C4×Dic13C2211yescharacteristic
156C22⋊C4×Dic13C2211yescharacteristic
157C22⋊C4×Dic13C2211yescharacteristic
158C22⋊C4×Dic13C2211yescharacteristic
159C22⋊C4×Dic13C2211yescharacteristic
160C22⋊C4×Dic13C2211yescharacteristic
161C22⋊C4×Dic13C2211yescharacteristic
162C22⋊C4×Dic13C2211yescharacteristic, complemented
163C22⋊C4×Dic13C2211yescharacteristic, complemented
164C22⋊C4×Dic13C2211yescharacteristic, complemented
165C22⋊C4×Dic13C2211yescharacteristic, complemented
166C22⋊C4×Dic13C2211yescharacteristic, complemented
167C4×C4⋊Dic13C2211yescharacteristic, complemented
168#11718594C2211yescharacteristic, complemented
169C42×Dic13C2211yescharacteristic, complemented
170#11718590C2211yescharacteristic, complemented
171C13⋊#401C2211yescharacteristic, complemented
172#11718322C2211yescharacteristic, complemented
173#11718321C2211yescharacteristic, complemented
174#11718320C2211yescharacteristic, complemented
175#11718316C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718312C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718309C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×Dic13—24no—
199C23×Dic13—42no—
200C23×Dic13—42no—
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#121—24no—
214C13×#121—24no—
215C13×#120—24no—
216C13×#120—24no—
217C4×D4×C13—24no—
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4—24no—
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C22⋊Dic13—24no—
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
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269#88190—24no—
270#88189—24no—
271D4×Dic13—24no—
272D4×Dic13—24no—
273D4×Dic13—24no—
274D4×Dic13—42no—
275D4×Dic13—42no—
276D4×Dic13—42no—
277D4×Dic13—42no—
278D4×Dic13—42no—
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×C4×Dic13—42no—
300C2×C4×Dic13—42no—
301C2×C4×Dic13—42no—
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
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321#88141—42no—
322#88133—24no—
323#88132—24no—
324#88131—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329#88071C2311yescharacteristic
330#88071C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#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
380C24×C13C2411yescharacteristic
381C24×C13C2411yescharacteristic
382C2×D4×C13—22no—
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—22no—
395C2×D4×C13—22no—
396C2×D4×C13—22no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13#4114yes—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13—22no—
407C22×C4×C13—22no—
408C22×C4×C13—22no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
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
422C22×Dic13—22no—
423C22×Dic13—22no—
424C22×Dic13—22no—
425C22×Dic13—22no—
426C22×Dic13—22no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—22no—
445C22×Dic13—41no—
446C22×Dic13—41no—
447C22×Dic13—41no—
448C22×Dic13—41no—
449C22×Dic13—41no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13—41no—
453C22×Dic13—41no—
454C22×Dic13—416no—
455C22×Dic13#4114yes—
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C2×Dic26—22no—
473C2×Dic26—22no—
474C2×Dic26—41no—
475C13×C4⋊C4—22no—
476C13×C4⋊C4—22no—
477C13×C4⋊C4—22no—
478C13×C4⋊C4—41no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—22no—
484C13×C22⋊C4—22no—
485C13×C22⋊C4—22no—
486C13×C22⋊C4—22no—
487C13×C22⋊C4—22no—
488C13×C22⋊C4—22no—
489C13×C22⋊C4—22no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—41no—
492C13×C22⋊C4#4114yes—
493C13×C22⋊C4#4114yes—
494C42×C13—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—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13#4114yes—
524C4⋊Dic13—22no—
525C4⋊Dic13—22no—
526C4⋊Dic13—22no—
527C4⋊Dic13—22no—
528C4⋊Dic13—22no—
529C4⋊Dic13—41no—
530C4⋊Dic13—41no—
531C4⋊Dic13—41no—
532C4⋊Dic13—41no—
533C4⋊Dic13—41no—
534#6101—22no—
535#6101—22no—
536#6101—22no—
537#6101—22no—
538#6101—22no—
539#6101—22no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544C4×Dic13—22no—
545C4×Dic13—22no—
546C4×Dic13—22no—
547C4×Dic13—22no—
548C4×Dic13—22no—
549C4×Dic13—22no—
550C4×Dic13—22no—
551C4×Dic13—22no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—41no—
558C4×Dic13—41no—
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#2424D1311yescharacteristic
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⋊C4—131no—
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—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—44no—
625C23×C13—44no—
626C23×C13—44no—
627C23×C13—44no—
628C23×C13—44no—
629C23×C13—44no—
630C23×C13C2×#4112yes—
631C23×C13C2×#4112yes—
632C23×C13C2×#4112yes—
633C23×C13C2×#4112yes—
634C23×C13C2×#4112yes—
635C23×C13C2×#4112yes—
636C23×C13C2511yescharacteristic
637D4×C13—28no—
638D4×C13—44no—
639D4×C13—44no—
640D4×C13—44no—
641D4×C13—44no—
642D4×C13—44no—
643D4×C13—44no—
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—44no—
670C2×C4×C13—44no—
671C2×C4×C13—44no—
672C2×C4×C13C2×#4112yes—
673C2×C4×C13C2×#4112yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×Dic13—21no—
678C2×Dic13—21no—
679C2×Dic13—21no—
680C2×Dic13—21no—
681C2×Dic13—21no—
682C2×Dic13—21no—
683C2×Dic13—28no—
684C2×Dic13—21no—
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×Dic13—44no—
722C2×Dic13—44no—
723C2×Dic13—44no—
724C2×Dic13—44no—
725C2×Dic13—44no—
726C2×Dic13—44no—
727C2×Dic13—44no—
728C2×Dic13—44no—
729C2×Dic13—44no—
730C2×Dic13C2×#4112yes—
731C2×Dic13C2×#4112yes—
732C2×Dic13C2×#4112yes—
733C2×Dic13C2×#4112yes—
734C2×Dic13H(5,𝔽2)12yes—
735C2×Dic13H(5,𝔽2)12yes—
736Dic26—44no—
737C24×C4—131no—
738C2×#126—131no—
739C2×#124—131no—
740C2×#123—131no—
741C2×C22⋊Q8—131no—
742C2×#121C2×D1311yescharacteristic
743C2×#121C2×D1311yescharacteristic
744C2×#120C2×D1311yescharacteristic
745C2×#120C2×D1311yescharacteristic
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⋊C4C2×D1311yescharacteristic
759C22×C42—131no—
760C22×C42—131no—
761C22×C42—131no—
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#396C2×D1311yescharacteristic
784#394—131no—
785#394—131no—
786#394—131no—
787#394—131no—
788#394—131no—
789#394C2×D1311yescharacteristic
790#394C2×D1311yescharacteristic
791#393—131no—
792#393—131no—
793#392C2×D1311yescharacteristic
794#391—131no—
795#391—131no—
796#390—131no—
797#390—131no—
798#390C2×D1311yescharacteristic
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#388C2×D1311yescharacteristic
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#386C2×D1311yescharacteristic
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
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⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887C4×C22⋊C4—131no—
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—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—22no—
903C22×C13—22no—
904C22×C13—22no—
905C22×C13—22no—
906C22×C13—22no—
907C22×C13—416no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13—41no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13#52914yes—
928C22×C13C22×#4111yescharacteristic
929C22×C13C22×#4111yescharacteristic
930C22×C13C22×#4111yescharacteristic
931C22×C13C22×#4111yescharacteristic
932C22×C13C22×#4111yescharacteristic
933C22×C13C2×H(5,𝔽2)11yescharacteristic
934C22×C13C2×H(5,𝔽2)11yescharacteristic
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—
945Dic13—22no—
946Dic13—22no—
947Dic13—22no—
948Dic13—41no—
949Dic13—41no—
950Dic13—41no—
951Dic13—41no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13#53814yes—
961C25C22×D1311yescharacteristic
962C22×Q8—131no—
963C22×D4C22×D1311yescharacteristic
964C22×D4C22×D1311yescharacteristic
965C22×D4C22×D1311yescharacteristic
966C22×D4C22×D1311yescharacteristic
967C22×D4C22×D1311yescharacteristic
968C22×D4C22×D1311yescharacteristic
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—131no—
981C23×C4—264no—
982C23×C4—522no—
983C23×C4—522no—
984C23×C4C22×D1311yescharacteristic
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—264no—
989#123—264no—
990C22⋊Q8—264no—
991#121—24no—
992#121—24no—
993#120—24no—
994#120—24no—
995C4×Q8—522no—
996C4×D4—24no—
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⋊C4C22×D1311yescharacteristic
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C22⋊C4—24no—
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—264no—
1061C2×C22⋊C4C22×D1311yescharacteristic
1062C2×C22⋊C4C22×D1311yescharacteristic
1063C2×C22⋊C4C22×D1311yescharacteristic
1064C2×C22⋊C4C22×D1311yescharacteristic
1065C2×C22⋊C4C22×D1311yescharacteristic
1066C2×C22⋊C4C22×D1311yescharacteristic
1067C2×C22⋊C4C22×D1311yescharacteristic
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—131no—
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—131no—
1091C2×C42—131no—
1092C2×C42—131no—
1093C2×C42—131no—
1094C2×C42—131no—
1095C2×C42—522no—
1096C2×C42—522no—
1097C2×C42—522no—
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#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143C2×C13—24no—
1144C2×C13—42no—
1145C2×C13—42no—
1146C2×C13—42no—
1147C2×C13—81no—
1148C2×C13C2×#52911yescharacteristic
1149C2×C13#344411yescharacteristic
1150C2×C13C2×#53811yescharacteristic
1151C2×C13#348111yescharacteristic
1152C2×C13#348111yescharacteristic
1153C2×C13#348111yescharacteristic
1154C2×C13#348111yescharacteristic
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24C23×D1311yescharacteristic
1163C24C23×D1311yescharacteristic
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C24C23×D1311yescharacteristic
1167C2×Q8—262no—
1168C2×Q8—262no—
1169C2×Q8—521no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4#612914yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—131no—
1201C22×C4—134no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
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—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4—521no—
1248C22×C4—521no—
1249C22×C4—5216no—
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—41no—
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—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—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—134no—
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—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#612914yes—
1327C22⋊C4#612914yes—
1328C42—22no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
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—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23C2×#612912yes—
1386C23C2×#612912yes—
1387C23C2×#612912yes—
1388C23C2×#612912yes—
1389C23#41×D1312yes—
1390C23#41×D1312yes—
1391C23C24×D1311yescharacteristic
1392Q8—524no—
1393D4—28no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398D4—44no—
1399D4—44no—
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—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—132no—
1429C2×C4—132no—
1430C2×C4—132no—
1431C2×C4—132no—
1432C2×C4—132no—
1433C2×C4—132no—
1434C2×C4—268no—
1435C2×C4—261no—
1436C2×C4—261no—
1437C2×C4—261no—
1438C2×C4—261no—
1439C2×C4—261no—
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—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—524no—
1478C2×C4—524no—
1479C2×C4—524no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4—524no—
1485C2×C4—524no—
1486C2×C4—524no—
1487C2×C4C2×#612912yes—
1488C2×C4C2×#612912yes—
1489C2×C4C2×#612912yes—
1490C2×C4C2×#612912yes—
1491C2×C4C2×#612912yes—
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—22no—
1505C22—22no—
1506C22—22no—
1507C22—416no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22#1171930514yes—
1528C22C22×#612911yescharacteristic
1529C22C22×#612911yescharacteristic
1530C22C22×#612911yescharacteristic
1531C22C2×#41×D1311yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22D13×H(5,𝔽2)11yescharacteristic
1534C22D13×H(5,𝔽2)11yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—134no—
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—521no—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—81no—
1566C2C2×#1171930511yescharacteristic
1567C2#1312812811yescharacteristic
1568C2D13×#53811yescharacteristic
1569C2#1312843711yescharacteristic
1570C2#1312843711yescharacteristic
1571C2#1312844111yescharacteristic
1572C2#1312844111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
Fitting, prime radicalC13×#2424C2
hypercenter#2424D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #13120391C2semidirect
2. #13120358C2semidirect
3. #13120283C2semidirect
4. #13120250C2semidirect
5. #13120174C2semidirect
6. #13120141C2semidirect
7. #13119961C2semidirect
8. #13119928C2semidirect
9. #13119398C2semidirect
10. #13119341C2semidirect
11. #13119076C2semidirect
12. #13118961C2semidirect
13. #13118654C2semidirect
14. #13118582C2semidirect
15. #13118294C2semidirect
16. #13118138C2semidirect
17. #13118124C2semidirect
18. #13118092C2semidirect
19. #13118071C2semidirect
20. #13117390C2semidirect
21. #13117383C2semidirect
22. #13117368C2semidirect
23. #13117361C2semidirect
24. #121×Dic13C2semidirect
25. #121×Dic13C2semidirect
26. #120×Dic13C2semidirect
27. #120×Dic13C2semidirect
28. #13117276C2semidirect
29. C4×D4×Dic13C2semidirect
30. C2×C22⋊C4×Dic13C2semidirect
49. C2×D4×Dic13C22semidirect
52. C22×C4×Dic13C22semidirect
53. C2×#88141C22semidirect
56. C2×#88131C22semidirect
72. #11718883C22semidirect
74. #11718882C22semidirect
85. #11718881C22semidirect
87. #11718873C22semidirect
90. #11718871C22semidirect
92. C4×C22⋊Dic13C22semidirect
95. #11718647C22semidirect
96. #11718647C22semidirect
97. #11718647C22semidirect
98. #11718647C22semidirect
99. #11718646C22semidirect
100. #11718646C22semidirect
101. #11718645C22semidirect
102. #11718639C22semidirect
103. #11718639C22semidirect
104. #11718638C22semidirect
105. C4⋊C4×Dic13C22semidirect
106. C4⋊C4×Dic13C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. C4⋊C4×Dic13C22semidirect
109. #11718633C22semidirect
113. #11718614C22semidirect
114. #11718614C22semidirect
117. #11718613C22semidirect
118. #11718613C22semidirect
120. #11718612C22semidirect
121. #11718612C22semidirect
122. #11718612C22semidirect
131. #11718609C22semidirect
133. #11718608C22semidirect
138. #11718606C22semidirect
142. #11718605C22semidirect
143. #11718605C22semidirect
144. #11718605C22semidirect
145. #11718604C22semidirect
162. C22⋊C4×Dic13C22semidirect
163. C22⋊C4×Dic13C22semidirect
164. C22⋊C4×Dic13C22semidirect
165. C22⋊C4×Dic13C22semidirect
166. C22⋊C4×Dic13C22semidirect
167. C4×C4⋊Dic13C22semidirect
168. #11718594C22semidirect
169. C42×Dic13C22semidirect
170. #11718590C22semidirect
171. C13⋊#401C22semidirect
172. #11718322C22semidirect
173. #11718321C22semidirect
174. #11718320C22semidirect
175. #11718316C22semidirect
176. #11718316C22semidirect
177. #11718315C22semidirect
178. #11718315C22semidirect
179. #11718314C22semidirect
180. #11718314C22semidirect
181. #11718312C22semidirect
182. #11718310C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718309C22semidirect
186. #11718307C22semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203912
#131203582
#131202832
#131202502
#131201742
#131201412
#131199612
#131199282
#131193982
#131193412
#131190762
#131189612
#131186542
#131185822
#131182942
#131181382
#131181242
#131180922
#131180712
#131173902
#131173832
#131173682
#131173612
#121×Dic132
#120×Dic132
#131172762
C4×D4×Dic132
C2×C22⋊C4×Dic132
C13×#24242
#3495913