Finite Group Databasebeta

← #16027128

Subgroups — #16027128

Order 3328.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719298C211yesmaximal, characteristic
2#13118024C211yesmaximal, characteristic, complemented
3#13117994C211yesmaximal, characteristic, complemented
4#13117985C211yesmaximal, characteristic, complemented
5#13117977C211yesmaximal, characteristic, complemented
6#13117969C211yesmaximal, characteristic, complemented
7#13117957C211yesmaximal, characteristic, complemented
8#13117881C211yesmaximal, characteristic, complemented
9#13117877C211yesmaximal, characteristic, complemented
10#13117871C211yesmaximal, characteristic, complemented
11#13117829C211yesmaximal, characteristic, complemented
12#13117822C211yesmaximal, characteristic, complemented
13#13117782C211yesmaximal, characteristic, complemented
14#13117771C211yesmaximal, characteristic, complemented
15#13117681C211yesmaximal, characteristic, complemented
16#13117681C211yesmaximal, characteristic, complemented
17#13117650C211yesmaximal, characteristic, complemented
18#13117645C211yesmaximal, characteristic, complemented
19#13117612C211yesmaximal, characteristic, complemented
20#13117593C211yesmaximal, characteristic, complemented
21#13117548C211yesmaximal, characteristic, complemented
22#13117538C211yesmaximal, characteristic, complemented
23#13117523C211yesmaximal, characteristic, complemented
24#13117515C211yesmaximal, characteristic, complemented
25#13117494C211yesmaximal, characteristic, complemented
26#13117494C211yesmaximal, characteristic, complemented
27#13117462C211yesmaximal, characteristic, complemented
28C4×#88133C211yesmaximal, characteristic, complemented
29C4×#88139C211yesmaximal, characteristic, complemented
30#13117298C211yesmaximal, characteristic, complemented
31C13×#2358C211yesmaximal, characteristic, complemented
32C2×C13×#120C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×#88193C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×#88192C2211yescharacteristic
42C2×#88190C2211yescharacteristic
43C2×#88189C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47#11719298C4116yescomplemented
48C2×#88139C2211yescharacteristic
49C2×#88137C2211yescharacteristic
50C2×#88135C2211yescharacteristic
51C2×#88135C2211yescharacteristic, complemented
52C2×#88133C2211yescharacteristic
53C2×#88133C2211yescharacteristic
54C2×#88132C2211yescharacteristic
55C2×#88131C2211yescharacteristic
56C2×#88131C2211yescharacteristic
57C2×#88131C2211yescharacteristic, complemented
58C2×#88126C2211yescharacteristic, complemented
59C2×C4×Dic26C2211yescharacteristic, complemented
60C13×#390C2211yescharacteristic
61C13×#388C2211yescharacteristic
62C13×#388C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#386C2211yescharacteristic
66C13×#385C2211yescharacteristic
67C13×#385C2211yescharacteristic
68C4×C13×C22⋊C4C2211yescharacteristic
69C4×C13×C22⋊C4C2211yescharacteristic
70#11718908C2211yescharacteristic
71#11718908C2211yescharacteristic
72#11718882C2211yescharacteristic
73#11718882C2211yescharacteristic
74#11718882C2211yescharacteristic
75#11718881C2211yescharacteristic
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718874C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718874C2211yescharacteristic, complemented
81#11718871C2211yescharacteristic
82#11718871C2211yescharacteristic
83#11718871C2211yescharacteristic
84#11718871C2211yescharacteristic
85#11718871C2211yescharacteristic
86#11718871C2211yescharacteristic
87#11718871C2211yescharacteristic, complemented
88#11718871C2211yescharacteristic, complemented
89C4×C22⋊Dic13C2211yescharacteristic
90C4×C22⋊Dic13C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic
92C4×C22⋊Dic13C2211yescharacteristic
93C4×C22⋊Dic13C2211yescharacteristic
94C4×C22⋊Dic13C2211yescharacteristic
95C2×#88071C2211yescharacteristic, complemented
96#11718651C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718648C2211yescharacteristic, complemented
99#11718639C2211yescharacteristic, complemented
100#11718639C2211yescharacteristic, complemented
101#11718637C2211yescharacteristic, complemented
102C4⋊C4×Dic13C2211yescharacteristic, complemented
103#11718635C2211yescharacteristic, complemented
104#11718634C2211yescharacteristic, complemented
105#11718634C2211yescharacteristic, complemented
106#11718633C2211yescharacteristic, complemented
107#11718633C2211yescharacteristic, complemented
108#11718618C2211yescharacteristic
109#11718618C2211yescharacteristic
110#11718618C2211yescharacteristic
111#11718618C2211yescharacteristic
112#11718618C2211yescharacteristic, complemented
113#11718617C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic, complemented
118#11718612C2211yescharacteristic
119#11718612C2211yescharacteristic
120#11718612C2211yescharacteristic
121#11718612C2211yescharacteristic
122#11718612C2211yescharacteristic
123#11718612C2211yescharacteristic
124#11718607C2211yescharacteristic, complemented
125#11718606C2211yescharacteristic
126#11718606C2211yescharacteristic
127#11718606C2211yescharacteristic
128#11718606C2211yescharacteristic
129#11718606C2211yescharacteristic
130#11718606C2211yescharacteristic
131#11718606C2211yescharacteristic
132#11718606C2211yescharacteristic
133#11718606C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic
135#11718605C2211yescharacteristic
136#11718605C2211yescharacteristic
137#11718605C2211yescharacteristic
138#11718605C2211yescharacteristic
139#11718605C2211yescharacteristic
140#11718605C2211yescharacteristic
141#11718605C2211yescharacteristic
142#11718605C2211yescharacteristic, complemented
143#11718605C2211yescharacteristic, complemented
144#11718605C2211yescharacteristic, complemented
145#11718604C2211yescharacteristic
146#11718604C2211yescharacteristic
147#11718603C2211yescharacteristic
148#11718603C2211yescharacteristic
149C22⋊C4×Dic13C2211yescharacteristic
150C22⋊C4×Dic13C2211yescharacteristic
151C22⋊C4×Dic13C2211yescharacteristic, complemented
152C22⋊C4×Dic13C2211yescharacteristic, complemented
153C22⋊C4×Dic13C2211yescharacteristic, complemented
154C4×#6103C2211yescharacteristic, complemented
155C4×#6103C2211yescharacteristic, complemented
156C4×C4⋊Dic13C2211yescharacteristic, complemented
157#11718594C2211yescharacteristic, complemented
158#11718594C2211yescharacteristic, complemented
159#11718593C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C4×#6101C2211yescharacteristic, complemented
162C42×Dic13C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic, complemented
165#11718330C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718328C2211yescharacteristic, complemented
168#11718327C2211yescharacteristic, complemented
169D13×#95C2211yescharacteristic, complemented
170#11718316C2211yescharacteristic, complemented
171#11718316C2211yescharacteristic, complemented
172#11718316C2211yescharacteristic, complemented
173#11718315C2211yescharacteristic, complemented
174#11718315C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718314C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718312C2211yescharacteristic, complemented
179#11718312C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C25×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×Dic26C2311yescharacteristic
209C13×#120C2×C418yescomplemented
210C4×D4×C13—42no—
211C4×D4×C13—42no—
212C2×C13×C4⋊C4C2311yescharacteristic
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C22⋊C4—42no—
216C2×C13×C22⋊C4—42no—
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×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×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234#88207C2×C418yescomplemented
235C2×C22⋊Dic13C2×C418yescomplemented
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
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260#88193C2×C418yescomplemented
261#88193C2×C418yescomplemented
262#88192C2×C418yescomplemented
263#88190C2×C418yescomplemented
264#88189C2×C418yescomplemented
265D4×Dic13C2×C418yescomplemented
266C4×C22⋊D13—42no—
267C4×C22⋊D13—42no—
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
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
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318#88139C2×C418yescomplemented
319#88137C2×C418yescomplemented
320#88135—42no—
321#88135C2×C418yescomplemented
322#88133C2×C418yescomplemented
323#88133C2×C418yescomplemented
324#88132C2×C418yescomplemented
325#88131—42no—
326#88131—42no—
327#88131—42no—
328#88126—42no—
329C4×Dic26—42no—
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
370#34446—131nomaximal, Sylow
371C24×C13—41no—
372C24×C13—41no—
373C24×C13—41no—
374C24×C13—41no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C22×C414yes—
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C24×C13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—41no—
384C2×D4×C13—41no—
385C2×D4×C13—41no—
386C2×D4×C13—41no—
387C2×D4×C13—41no—
388C2×D4×C13—41no—
389C2×D4×C13C22×C414yes—
390C2×D4×C13C22×C414yes—
391C2×D4×C13C22×C414yes—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
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×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13C22×C414yes—
427C2×C22⋊D13C22×C414yes—
428C2×C22⋊D13C22×C414yes—
429C2×C22⋊D13C22×C414yes—
430C22×Dic13—41no—
431C22×Dic13—41no—
432C22×Dic13—41no—
433C22×Dic13—41no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13—41no—
437C22×Dic13—41no—
438C22×Dic13—41no—
439C22×Dic13C22×C414yes—
440C22×Dic13C22×C414yes—
441C22×Dic13C22×C414yes—
442C22×Dic13C2411yescharacteristic
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×C4×D13—22no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
462C2×C4×D13—41no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13C22×C414yes—
466C2×Dic26—41no—
467C2×Dic26—41no—
468C2×Dic26C22×C414yes—
469C13×C4⋊C4—41no—
470C13×C4⋊C4—41no—
471C13×C4⋊C4—41no—
472C13×C22⋊C4—22no—
473C13×C22⋊C4—22no—
474C13×C22⋊C4—22no—
475C13×C22⋊C4—22no—
476C13×C22⋊C4—22no—
477C13×C22⋊C4—22no—
478C13×C22⋊C4—41no—
479C13×C22⋊C4—41no—
480C13×C22⋊C4—41no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4—41no—
483C13×C22⋊C4C22×C414yes—
484C13×C22⋊C4C22×C414yes—
485C13×C22⋊C4C22×C414yes—
486C42×C13—22no—
487C42×C13—22no—
488C42×C13—41no—
489C22⋊Dic13—41no—
490C22⋊Dic13—41no—
491C22⋊Dic13—41no—
492C22⋊Dic13—41no—
493C22⋊Dic13—41no—
494C22⋊Dic13—41no—
495C22⋊Dic13—41no—
496C22⋊Dic13—41no—
497C22⋊Dic13—41no—
498C22⋊Dic13—41no—
499C22⋊Dic13—41no—
500C22⋊Dic13—41no—
501C22⋊Dic13—41no—
502C22⋊Dic13—41no—
503C22⋊Dic13—41no—
504C22⋊Dic13C22×C414yes—
505C22⋊Dic13C22×C414yes—
506C22⋊Dic13C22×C414yes—
507C22⋊Dic13C22×C414yes—
508C22⋊Dic13C22×C414yes—
509C22⋊Dic13C22×C414yes—
510C22⋊Dic13C22×C414yes—
511C22⋊Dic13C22×C414yes—
512C22⋊Dic13C22×C414yes—
513#6103—22no—
514#6103—41no—
515#6103—41no—
516#6103—41no—
517#6103—41no—
518#6103—41no—
519#6103C22×C414yes—
520#6103C22×C414yes—
521C4⋊Dic13—41no—
522C4⋊Dic13—41no—
523C4⋊Dic13—41no—
524C4⋊Dic13C22×C414yes—
525C4⋊Dic13C22×C414yes—
526#6101—22no—
527#6101—22no—
528#6101—22no—
529#6101—41no—
530#6101—41no—
531#6101—41no—
532#6101—41no—
533#6101—41no—
534#6101—41no—
535#6101—41no—
536#6101—41no—
537#6101—41no—
538#6101—41no—
539#6101—41no—
540#6101C22×C414yes—
541#6101C22×C414yes—
542#6101C22×C414yes—
543#6101C22×C414yes—
544C4×Dic13—22no—
545C4×Dic13—22no—
546C4×Dic13—22no—
547C4×Dic13—41no—
548C4×Dic13—41no—
549C4×Dic13—41no—
550C4×Dic13—41no—
551C4×Dic13—41no—
552C4×Dic13—41no—
553C4×Dic13—41no—
554C4×Dic13—41no—
555C4×Dic13—41no—
556C4×Dic13—41no—
557C4×Dic13—41no—
558C4×Dic13—41no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13C22×C414yes—
562C4×Dic13C22×C414yes—
563C2×#538—131no—
564#2383—131no—
565#2377—131no—
566#2376—131no—
567#2375—131no—
568#2374—131no—
569#2373—131no—
570#2364—131no—
571#2363—131no—
572#2363—131no—
573#2359—131no—
574#2359—131no—
575#2358D1311yescharacteristic, complemented
576#2354—131no—
577#2353—131no—
578#2342—131no—
579#2342—131no—
580#2337—131no—
581#2337—131no—
582#2334—131no—
583#2332—131no—
584#2326—131no—
585#2325—131no—
586#2324—131no—
587#2323—131no—
588#2321—131no—
589#2321—131no—
590#2318—131no—
591C4×#126—131no—
592C4×#124—131no—
593#2293—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×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—44no—
619C23×C13—44no—
620C23×C13—44no—
621C23×C13—82no—
622C23×C13—82no—
623C23×C13—82no—
624C23×C13—82no—
625C23×C13C23×C412yes—
626C23×C13C23×C412yes—
627C23×C13C23×C412yes—
628C23×C13C23×C412yes—
629C23×C13C2511yescharacteristic
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13C23×C412yes—
637D4×C13—44no—
638D4×C13—44no—
639D4×C13—44no—
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—82no—
669C2×C4×C13—82no—
670C2×C4×C13—82no—
671C2×C4×C13—82no—
672C2×C4×C13—82no—
673C2×C4×C13C23×C412yes—
674C2×C4×C13C23×C412yes—
675C2×C4×C13C23×C412yes—
676C2×C4×C13H(5,𝔽2)12yes—
677C2×C4×C13H(5,𝔽2)12yes—
678C22⋊D13—44no—
679C22⋊D13—44no—
680C22⋊D13—44no—
681C22⋊D13—44no—
682C2×Dic13—21no—
683C2×Dic13—21no—
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—82no—
724C2×Dic13C23×C412yes—
725C2×Dic13C23×C412yes—
726C2×Dic13C23×C412yes—
727C2×Dic13C23×C412yes—
728C2×Dic13C23×C412yes—
729C2×Dic13C23×C412yes—
730C2×Dic13C23×C412yes—
731C4×D13—44no—
732C4×D13—82no—
733C4×D13—82no—
734Dic26—44no—
735#538—1316no—
736C2×#126—131no—
737C2×#126—131no—
738C2×#124—131no—
739C2×#124—131no—
740C2×#123—131no—
741C2×#123—131no—
742C2×C22⋊Q8—131no—
743C2×#121—131no—
744C2×#121—131no—
745C2×#121—131no—
746C2×#120—131no—
747C2×#120C2×D1311yescharacteristic
748C2×C4×Q8—131no—
749C2×C4×D4—131no—
750C2×C4×D4—131no—
751C2×C4×D4—131no—
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4C2×D1311yescharacteristic
755C2×C4×D4C2×D1311yescharacteristic
756C2×#117—131no—
757C2×#117—131no—
758C2×#117—131no—
759C2×#117—131no—
760C22×C22⋊C4—131no—
761C22×C22⋊C4C2×D1311yescharacteristic
762C22×C22⋊C4C2×D1311yescharacteristic
763#391—131no—
764#391—131no—
765#391—131no—
766#390—131no—
767#390—131no—
768#390—131no—
769#390—131no—
770#390—131no—
771#390—131no—
772#390—131no—
773#390—131no—
774#390C2×D1311yescharacteristic
775#389—131no—
776#389—131no—
777#389—131no—
778#389—131no—
779#389—131no—
780#389—131no—
781#388—131no—
782#388—131no—
783#388—131no—
784#388—131no—
785#388—131no—
786#388—131no—
787#388—131no—
788#388—131no—
789#388—131no—
790#388—131no—
791#388—131no—
792#388—131no—
793#388—131no—
794#388—131no—
795#388—131no—
796#388—131no—
797#388—131no—
798#388—131no—
799#388—131no—
800#388—131no—
801#388—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#388C2×D1311yescharacteristic
812#388C2×D1311yescharacteristic
813#387—131no—
814#387—131no—
815#387—131no—
816#387—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#386—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#386C2×D1311yescharacteristic
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#385C2×D1311yescharacteristic
851#384—131no—
852#383—131no—
853#383—131no—
854#382—131no—
855#381—131no—
856#381—131no—
857#380—131no—
858#380—131no—
859#380—131no—
860#380—131no—
861#379—131no—
862#379—131no—
863C4×C4⋊C4—131no—
864C4×C4⋊C4—131no—
865C4×C4⋊C4—131no—
866C4×C4⋊C4—131no—
867C4×C4⋊C4—131no—
868C4×C4⋊C4—131no—
869C4×C4⋊C4—131no—
870C4×C4⋊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
887#376—131no—
888C2×#95—131no—
889C2×#95—131no—
890C43—131no—
891C22×C13—22no—
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—41no—
904C22×C13—41no—
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—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—88no—
920C22×C13C24×C411yescharacteristic
921C22×C13C2×H(5,𝔽2)11yescharacteristic
922C22×C13C2×H(5,𝔽2)11yescharacteristic
923C22×C13#58511yescharacteristic
924C22×C13#58511yescharacteristic
925C22×C13#58511yescharacteristic
926C22×C13#58511yescharacteristic
927C2×D13—22no—
928C2×D13—22no—
929C2×D13—22no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C4×C13—22no—
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—
945Dic13—22no—
946Dic13—22no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—22no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960C25C22×D1311yescharacteristic
961C22×Q8—131no—
962C22×D4—131no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4C22×D1311yescharacteristic
967C22×D4C22×D1311yescharacteristic
968C22×D4C22×D1311yescharacteristic
969C23×C4—131no—
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4C22×D1311yescharacteristic
977C23×C4C22×D1311yescharacteristic
978C23×C4C22×D1311yescharacteristic
979C23×C4C22×D1311yescharacteristic
980C23×C4C22×D1311yescharacteristic
981#126—138no—
982#126—138no—
983#124—138no—
984#124—138no—
985#123—138no—
986#123—138no—
987C22⋊Q8—138no—
988#121—138no—
989#121—138no—
990#121—138no—
991#120—138no—
992#120C4×D1318yescomplemented
993C4×Q8—522no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—138no—
997C4×D4—138no—
998C4×D4—522no—
999C4×D4—522no—
1000C4×D4—522no—
1001#117—522no—
1002#117—522no—
1003#117—522no—
1004#117—522no—
1005C2×C4⋊C4—131no—
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⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C4⋊C4C22×D1311yescharacteristic
1031C2×C22⋊C4—42no—
1032C2×C22⋊C4—42no—
1033C2×C22⋊C4—138no—
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⋊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×C22⋊C4C22×D1311yescharacteristic
1077C2×C22⋊C4C22×D1311yescharacteristic
1078C2×C22⋊C4C22×D1311yescharacteristic
1079C2×C22⋊C4C22×D1311yescharacteristic
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—131no—
1096C2×C42—131no—
1097C2×C42—131no—
1098C2×C42—131no—
1099C2×C42C22×D1311yescharacteristic
1100C2×C42C22×D1311yescharacteristic
1101C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142C2×C13—42no—
1143C2×C13—42no—
1144C2×C13—42no—
1145C2×C13—42no—
1146C2×C13#342811yescharacteristic
1147C2×C13C4×H(5,𝔽2)11yescharacteristic
1148C2×C13C4×H(5,𝔽2)11yescharacteristic
1149C2×C13#354511yescharacteristic
1150C2×C13#354611yescharacteristic
1151C2×C13#356011yescharacteristic
1152C2×C13#356611yescharacteristic
1153D13—42no—
1154C24—41no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—131no—
1161C24C2×C4×D1314yes—
1162C24C23×D1311yescharacteristic
1163C24C23×D1311yescharacteristic
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C2×Q8—134no—
1167C2×Q8—521no—
1168C2×Q8—521no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—134no—
1176C2×D4—134no—
1177C2×D4—134no—
1178C2×D4—134no—
1179C2×D4—521no—
1180C2×D4—521no—
1181C2×D4—521no—
1182C2×D4—521no—
1183C2×D4—521no—
1184C2×D4—521no—
1185C2×D4—521no—
1186C2×D4—521no—
1187C2×D4C2×C4×D1314yes—
1188C2×D4C2×C4×D1314yes—
1189C2×D4C2×C4×D1314yes—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—131no—
1212C22×C4—134no—
1213C22×C4—134no—
1214C22×C4—134no—
1215C22×C4—134no—
1216C22×C4—131no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—131no—
1220C22×C4—131no—
1221C22×C4—131no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—262no—
1225C22×C4—521no—
1226C22×C4—521no—
1227C22×C4—521no—
1228C22×C4—521no—
1229C22×C4—521no—
1230C22×C4—521no—
1231C22×C4—521no—
1232C22×C4—521no—
1233C22×C4—521no—
1234C22×C4—521no—
1235C22×C4—521no—
1236C22×C4—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4C23×D1311yescharacteristic
1242C22×C4C23×D1311yescharacteristic
1243C22×C4C23×D1311yescharacteristic
1244C22×C4C23×D1311yescharacteristic
1245C22×C4C23×D1311yescharacteristic
1246C22×C4C23×D1311yescharacteristic
1247C22×C4C23×D1311yescharacteristic
1248C22×C4C23×D1311yescharacteristic
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—134no—
1256C4⋊C4—134no—
1257C4⋊C4—134no—
1258C4⋊C4—134no—
1259C4⋊C4—134no—
1260C4⋊C4—134no—
1261C4⋊C4—262no—
1262C4⋊C4—262no—
1263C4⋊C4—262no—
1264C4⋊C4—521no—
1265C4⋊C4—521no—
1266C4⋊C4—521no—
1267C4⋊C4—521no—
1268C4⋊C4—521no—
1269C4⋊C4—521no—
1270C4⋊C4—521no—
1271C4⋊C4—521no—
1272C4⋊C4—521no—
1273C4⋊C4—521no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—134no—
1290C22⋊C4—134no—
1291C22⋊C4—134no—
1292C22⋊C4—134no—
1293C22⋊C4—134no—
1294C22⋊C4—134no—
1295C22⋊C4—134no—
1296C22⋊C4—134no—
1297C22⋊C4—134no—
1298C22⋊C4—134no—
1299C22⋊C4—134no—
1300C22⋊C4—262no—
1301C22⋊C4—521no—
1302C22⋊C4—521no—
1303C22⋊C4—521no—
1304C22⋊C4—521no—
1305C22⋊C4—521no—
1306C22⋊C4—521no—
1307C22⋊C4—521no—
1308C22⋊C4—521no—
1309C22⋊C4—521no—
1310C22⋊C4—521no—
1311C22⋊C4—521no—
1312C22⋊C4—521no—
1313C22⋊C4—521no—
1314C22⋊C4—521no—
1315C22⋊C4—521no—
1316C22⋊C4—521no—
1317C22⋊C4—521no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4C2×C4×D1314yes—
1322C22⋊C4C2×C4×D1314yes—
1323C22⋊C4C2×C4×D1314yes—
1324C42—22no—
1325C42—22no—
1326C42—41no—
1327C42—134no—
1328C42—134no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—521no—
1333C42—521no—
1334C42—521no—
1335C42—521no—
1336C42—521no—
1337C42—521no—
1338C42—521no—
1339C42—521no—
1340C42—521no—
1341C42—521no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
1346C13#3444611yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
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—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—82no—
1375C23—82no—
1376C23—82no—
1377C23—82no—
1378C23—132no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23C22×C4×D1312yes—
1386C23C22×C4×D1312yes—
1387C23C22×C4×D1312yes—
1388C23C22×C4×D1312yes—
1389C23C24×D1311yescharacteristic
1390Q8—524no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—524no—
1395D4—524no—
1396D4—524no—
1397D4—524no—
1398C2×C4—21no—
1399C2×C4—21no—
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—82no—
1427C2×C4—82no—
1428C2×C4—82no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4—132no—
1432C2×C4—132no—
1433C2×C4—132no—
1434C2×C4—132no—
1435C2×C4—132no—
1436C2×C4—132no—
1437C2×C4—132no—
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—524no—
1477C2×C4—524no—
1478C2×C4—524no—
1479C2×C4—524no—
1480C2×C4—1042no—
1481C2×C4—1042no—
1482C2×C4—1042no—
1483C2×C4C22×C4×D1312yes—
1484C2×C4C22×C4×D1312yes—
1485C2×C4C22×C4×D1312yes—
1486C2×C4#8825112yes—
1487C2×C4#8825112yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—88no—
1517C22—262no—
1518C22—262no—
1519C22—262no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22C23×C4×D1311yescharacteristic
1525C22C2×#8825111yescharacteristic
1526C22C2×#8825111yescharacteristic
1527C22#1171964811yescharacteristic
1528C22#1171964811yescharacteristic
1529C22#1171965011yescharacteristic
1530C22#1171965011yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—262no—
1543C4—262no—
1544C4—262no—
1545C4—262no—
1546C4—262no—
1547C4—262no—
1548C4—262no—
1549C4—521no—
1550C4—521no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—42no—
1561C2—522no—
1562C2#1312803411yescharacteristic
1563C2C4×#8825111yescharacteristic
1564C2C4×#8825111yescharacteristic
1565C2#1312918311yescharacteristic
1566C2#1312920411yescharacteristic
1567C2#1312938011yescharacteristic
1568C2#1312949811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2358C2
socle, cosocleC23×C13C25
prime radicalC2×#11719298C2
hypercenter#2358D13
hypocenterC13#34446
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #13118024C2semidirect
3. #13117994C2semidirect
4. #13117985C2semidirect
5. #13117977C2semidirect
6. #13117969C2semidirect
7. #13117957C2semidirect
8. #13117881C2semidirect
9. #13117877C2semidirect
10. #13117871C2semidirect
11. #13117829C2semidirect
12. #13117822C2semidirect
13. #13117782C2semidirect
14. #13117771C2semidirect
15. #13117681C2semidirect
16. #13117681C2semidirect
17. #13117650C2semidirect
18. #13117645C2semidirect
19. #13117612C2semidirect
20. #13117593C2semidirect
21. #13117548C2semidirect
22. #13117538C2semidirect
23. #13117523C2semidirect
24. #13117515C2semidirect
25. #13117494C2semidirect
26. #13117494C2semidirect
27. #13117462C2semidirect
28. C4×#88133C2semidirect
29. C4×#88139C2semidirect
30. #13117298C2semidirect
31. C13×#2358C2semidirect
47. #11719298C4semidirect
51. C2×#88135C22semidirect
57. C2×#88131C22semidirect
58. C2×#88126C22semidirect
59. C2×C4×Dic26C22semidirect
80. #11718874C22semidirect
87. #11718871C22semidirect
88. #11718871C22semidirect
95. C2×#88071C22semidirect
96. #11718651C22semidirect
97. #11718651C22semidirect
98. #11718648C22semidirect
99. #11718639C22semidirect
100. #11718639C22semidirect
101. #11718637C22semidirect
102. C4⋊C4×Dic13C22semidirect
103. #11718635C22semidirect
104. #11718634C22semidirect
105. #11718634C22semidirect
106. #11718633C22semidirect
107. #11718633C22semidirect
112. #11718618C22semidirect
117. #11718617C22semidirect
124. #11718607C22semidirect
133. #11718606C22semidirect
142. #11718605C22semidirect
143. #11718605C22semidirect
144. #11718605C22semidirect
151. C22⋊C4×Dic13C22semidirect
152. C22⋊C4×Dic13C22semidirect
153. C22⋊C4×Dic13C22semidirect
154. C4×#6103C22semidirect
155. C4×#6103C22semidirect
156. C4×C4⋊Dic13C22semidirect
157. #11718594C22semidirect
158. #11718594C22semidirect
159. #11718593C22semidirect
160. C4×#6101C22semidirect
161. C4×#6101C22semidirect
162. C42×Dic13C22semidirect
163. #11718589C22semidirect
164. #11718331C22semidirect
165. #11718330C22semidirect
166. #11718329C22semidirect
167. #11718328C22semidirect
168. #11718327C22semidirect
169. D13×#95C22semidirect
170. #11718316C22semidirect
171. #11718316C22semidirect
172. #11718316C22semidirect
173. #11718315C22semidirect
174. #11718315C22semidirect
175. #11718314C22semidirect
176. #11718314C22semidirect
177. #11718313C22semidirect
178. #11718312C22semidirect
179. #11718312C22semidirect
180. #11718311C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
209. C13×#120C2×C4semidirect
234. #88207C2×C4semidirect
235. C2×C22⋊Dic13C2×C4semidirect
260. #88193C2×C4semidirect
261. #88193C2×C4semidirect
262. #88192C2×C4semidirect
263. #88190C2×C4semidirect
264. #88189C2×C4semidirect
265. D4×Dic13C2×C4semidirect
318. #88139C2×C4semidirect
319. #88137C2×C4semidirect
321. #88135C2×C4semidirect
322. #88133C2×C4semidirect
323. #88133C2×C4semidirect
324. #88132C2×C4semidirect
575. #2358D13semidirect
992. #120C4×D13semidirect
1346. C13#34446semidirect

Maximal subgroups

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

subgroupindex
C2×#117192982
#131180242
#131179942
#131179852
#131179772
#131179692
#131179572
#131178812
#131178772
#131178712
#131178292
#131178222
#131177822
#131177712
#131176812
#131176502
#131176452
#131176122
#131175932
#131175482
#131175382
#131175232
#131175152
#131174942
#131174622
C4×#881332
C4×#881392
#131172982
C13×#23582
#3444613