Finite Group Databasebeta

← #16027139

Subgroups — #16027139

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×#11719409C211yesmaximal, characteristic
2#13118027C211yesmaximal, characteristic, complemented
3#13117991C211yesmaximal, characteristic, complemented
4#13117985C211yesmaximal, characteristic, complemented
5#13117976C211yesmaximal, characteristic, complemented
6#13117965C211yesmaximal, characteristic, complemented
7#13117962C211yesmaximal, characteristic, complemented
8#13117887C211yesmaximal, characteristic, complemented
9#13117873C211yesmaximal, characteristic, complemented
10#13117869C211yesmaximal, characteristic, complemented
11#13117825C211yesmaximal, characteristic, complemented
12#13117821C211yesmaximal, characteristic, complemented
13#13117812C211yesmaximal, characteristic, complemented
14#13117781C211yesmaximal, characteristic, complemented
15#13117775C211yesmaximal, characteristic, complemented
16#13117684C211yesmaximal, characteristic, complemented
17#13117679C211yesmaximal, characteristic, complemented
18#13117649C211yesmaximal, characteristic, complemented
19#13117647C211yesmaximal, characteristic, complemented
20#13117590C211yesmaximal, characteristic, complemented
21#13117542C211yesmaximal, characteristic, complemented
22#13117535C211yesmaximal, characteristic, complemented
23#13117527C211yesmaximal, characteristic, complemented
24#13117513C211yesmaximal, characteristic, complemented
25#13117493C211yesmaximal, characteristic, complemented
26#13117489C211yesmaximal, characteristic, complemented
27#13117472C211yesmaximal, characteristic, complemented
28#126×Dic13C211yesmaximal, characteristic, complemented
29#13117375C211yesmaximal, characteristic, complemented
30#13117297C211yesmaximal, characteristic, complemented
31C13×#2334C211yesmaximal, characteristic, complemented
32C2×C13×#126C2211yescharacteristic
33C2×C4×C22⋊D13C2211yescharacteristic
34C22×#6103C2211yescharacteristic
35#11719409C4116yescomplemented
36C2×#88152C2211yescharacteristic
37C2×#88150C2211yescharacteristic
38C2×#88149C2211yescharacteristic
39C2×#88149C2211yescharacteristic
40C2×#88148C2211yescharacteristic
41C2×#88147C2211yescharacteristic
42C2×#88147C2211yescharacteristic
43C2×#88147C2211yescharacteristic
44C2×#88146C2211yescharacteristic
45C2×#88141C2211yescharacteristic, complemented
46C2×#88139C2211yescharacteristic
47C2×#88138C2211yescharacteristic
48C2×#88137C2211yescharacteristic
49C2×#88136C2211yescharacteristic
50C2×#88136C2211yescharacteristic
51C2×#88135C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×#88129C2211yescharacteristic
55C2×C4×D52C2211yescharacteristic
56C2×C4×D52C2211yescharacteristic, complemented
57C2×#88126C2211yescharacteristic
58C2×#88126C2211yescharacteristic, complemented
59C2×#88126C2211yescharacteristic, complemented
60C13×#389C2211yescharacteristic, complemented
61C13×#389C2211yescharacteristic, complemented
62C13×#388C2211yescharacteristic
63C13×#388C2211yescharacteristic
64C13×#388C2211yescharacteristic
65C13×#387C2211yescharacteristic, complemented
66C13×#387C2211yescharacteristic, complemented
67C13×#387C2211yescharacteristic, complemented
68C13×#385C2211yescharacteristic
69C13×#385C2211yescharacteristic
70C13×#382C2211yescharacteristic, complemented
71C4×C13×C4⋊C4C2211yescharacteristic, complemented
72C4×C13×C4⋊C4C2211yescharacteristic, complemented
73C4×C13×C22⋊C4C2211yescharacteristic
74#11718874C2211yescharacteristic
75#11718871C2211yescharacteristic
76#11718651C2211yescharacteristic
77#11718651C2211yescharacteristic
78#11718651C2211yescharacteristic
79#11718651C2211yescharacteristic
80#11718651C2211yescharacteristic
81#11718651C2211yescharacteristic, complemented
82#11718651C2211yescharacteristic, complemented
83#11718650C2211yescharacteristic
84#11718650C2211yescharacteristic
85#11718650C2211yescharacteristic, complemented
86#11718650C2211yescharacteristic, complemented
87#11718650C2211yescharacteristic, complemented
88#11718649C2211yescharacteristic
89#11718649C2211yescharacteristic
90#11718649C2211yescharacteristic
91#11718649C2211yescharacteristic
92#11718649C2211yescharacteristic, complemented
93#11718648C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718642C2211yescharacteristic, complemented
96#11718642C2211yescharacteristic, complemented
97#11718637C2211yescharacteristic, complemented
98C4⋊C4×Dic13C2211yescharacteristic, complemented
99C4⋊C4×Dic13C2211yescharacteristic, complemented
100C4⋊C4×Dic13C2211yescharacteristic, complemented
101#11718635C2211yescharacteristic, complemented
102#11718634C2211yescharacteristic, complemented
103#11718634C2211yescharacteristic, complemented
104#11718633C2211yescharacteristic, complemented
105#11718633C2211yescharacteristic, complemented
106#11718619C2211yescharacteristic
107#11718618C2211yescharacteristic
108#11718618C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718616C2211yescharacteristic
112#11718616C2211yescharacteristic
113#11718612C2211yescharacteristic
114#11718612C2211yescharacteristic
115#11718612C2211yescharacteristic
116#11718607C2211yescharacteristic
117#11718606C2211yescharacteristic
118#11718605C2211yescharacteristic
119C22⋊C4×Dic13C2211yescharacteristic
120C22⋊C4×Dic13C2211yescharacteristic
121C22⋊C4×Dic13C2211yescharacteristic
122#11718601C2211yescharacteristic
123#11718601C2211yescharacteristic
124#11718601C2211yescharacteristic
125#11718601C2211yescharacteristic, complemented
126#11718601C2211yescharacteristic, complemented
127#11718600C2211yescharacteristic
128#11718600C2211yescharacteristic
129C4×#6103C2211yescharacteristic
130C4×#6103C2211yescharacteristic
131C4×#6103C2211yescharacteristic
132C4×#6103C2211yescharacteristic
133C4×#6103C2211yescharacteristic, complemented
134C4×#6103C2211yescharacteristic, complemented
135#11718598C2211yescharacteristic, complemented
136#11718594C2211yescharacteristic, complemented
137C4×#6101C2211yescharacteristic, complemented
138C4×#6101C2211yescharacteristic, complemented
139C42×Dic13C2211yescharacteristic, complemented
140#11718331C2211yescharacteristic
141#11718330C2211yescharacteristic
142#11718330C2211yescharacteristic
143#11718330C2211yescharacteristic
144#11718330C2211yescharacteristic
145#11718330C2211yescharacteristic
146#11718330C2211yescharacteristic
147#11718330C2211yescharacteristic
148#11718330C2211yescharacteristic, complemented
149#11718330C2211yescharacteristic, complemented
150#11718330C2211yescharacteristic, complemented
151#11718330C2211yescharacteristic, complemented
152#11718329C2211yescharacteristic
153#11718329C2211yescharacteristic
154#11718329C2211yescharacteristic, complemented
155#11718328C2211yescharacteristic
156#11718328C2211yescharacteristic
157#11718328C2211yescharacteristic, complemented
158#11718327C2211yescharacteristic
159#11718327C2211yescharacteristic
160#11718327C2211yescharacteristic, complemented
161#11718327C2211yescharacteristic, complemented
162#11718327C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic, complemented
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic
175#11718325C2211yescharacteristic
176D13×#95C2211yescharacteristic, complemented
177D13×#95C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718309C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C22×C22⋊D13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C23×Dic13C2311yescharacteristic
193C22×D52C2311yescharacteristic
194C22×D52C2311yescharacteristic
195C22×D52C2311yescharacteristic
196C22×D52C2311yescharacteristic
197C22×D52C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C22×C4×D13C2311yescharacteristic
200C22×C4×D13C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×Dic26C2311yescharacteristic
209C13×#126C2×C418yescomplemented
210C2×C13×C4⋊C4C2311yescharacteristic
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C4⋊C4C2311yescharacteristic
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C42×C13C2311yescharacteristic
227C2×C42×C13C2311yescharacteristic
228C2×C42×C13C2311yescharacteristic
229C2×C42×C13C2311yescharacteristic
230C2×C42×C13C2311yescharacteristic
231C2×C42×C13C2311yescharacteristic
232C2×C22⋊Dic13C2311yescharacteristic
233C2×C22⋊Dic13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
236C4×C22⋊D13—42no—
237C2×#6103—42no—
238C2×#6103C2311yescharacteristic
239C2×#6103C2311yescharacteristic
240C2×#6103C2311yescharacteristic
241C2×#6103C2311yescharacteristic
242C2×#6103C2311yescharacteristic
243C2×#6103C2311yescharacteristic
244C2×#6103C2311yescharacteristic
245C2×#6103C2311yescharacteristic
246C2×#6103C2311yescharacteristic
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×#6101C2311yescharacteristic
279C2×#6101C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×C4×Dic13C2311yescharacteristic
291C2×C4×Dic13C2311yescharacteristic
292C2×C4×Dic13C2311yescharacteristic
293C2×C4×Dic13C2311yescharacteristic
294C2×C4×Dic13C2311yescharacteristic
295C2×C4×Dic13C2311yescharacteristic
296C2×C4×Dic13C2311yescharacteristic
297C2×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306#88152C2×C418yescomplemented
307#88150C2×C418yescomplemented
308#88149C2×C418yescomplemented
309#88149C2×C418yescomplemented
310#88148C2×C418yescomplemented
311#88147—42no—
312#88147—42no—
313#88147C2×C418yescomplemented
314#88146—42no—
315#88141—42no—
316#88139C2×C418yescomplemented
317#88138C2×C418yescomplemented
318#88137C2×C418yescomplemented
319#88136C2×C418yescomplemented
320#88136C2×C418yescomplemented
321#88135—42no—
322C22⋊C4×D13—42no—
323C22⋊C4×D13C2×C418yescomplemented
324#88129C2×C418yescomplemented
325C4×D52—42no—
326C4×D52C2×C418yescomplemented
327#88126—42no—
328#88126—42no—
329#88126—42no—
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
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×C13C2411yescharacteristic
372C23×D13—41no—
373C23×D13—41no—
374C23×D13—41no—
375C23×D13—41no—
376C23×D13—41no—
377C23×D13—41no—
378C23×D13C22×C414yes—
379C23×D13C2411yescharacteristic
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C22×C4×C13—41no—
384C22×C4×C13—41no—
385C22×C4×C13—41no—
386C22×C4×C13C2411yescharacteristic
387C22×C4×C13C2411yescharacteristic
388C22×C4×C13C2411yescharacteristic
389C22×C4×C13C2411yescharacteristic
390C22×C4×C13C2411yescharacteristic
391C22×C4×C13C2411yescharacteristic
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C2×C22⋊D13—41no—
401C2×C22⋊D13—41no—
402C2×C22⋊D13—41no—
403C2×C22⋊D13—41no—
404C2×C22⋊D13C22×C414yes—
405C2×C22⋊D13C22×C414yes—
406C22×Dic13—22no—
407C22×Dic13—41no—
408C22×Dic13—41no—
409C22×Dic13C2411yescharacteristic
410C22×Dic13C2411yescharacteristic
411C22×Dic13C2411yescharacteristic
412C22×Dic13C2411yescharacteristic
413C22×Dic13C2411yescharacteristic
414C22×Dic13C2411yescharacteristic
415C22×Dic13C2411yescharacteristic
416C22×Dic13C2411yescharacteristic
417C22×Dic13C2411yescharacteristic
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C22×Dic13C2411yescharacteristic
421C2×D52—41no—
422C2×D52—41no—
423C2×D52—41no—
424C2×D52—41no—
425C2×D52—41no—
426C2×D52—41no—
427C2×D52—41no—
428C2×D52—41no—
429C2×D52—41no—
430C2×D52—41no—
431C2×D52C22×C414yes—
432C2×D52C22×C414yes—
433C2×D52C22×C414yes—
434C2×D52C22×C414yes—
435C2×D52C22×C414yes—
436C2×C4×D13—22no—
437C2×C4×D13—22no—
438C2×C4×D13—41no—
439C2×C4×D13—41no—
440C2×C4×D13—41no—
441C2×C4×D13—41no—
442C2×C4×D13—41no—
443C2×C4×D13—41no—
444C2×C4×D13—41no—
445C2×C4×D13—41no—
446C2×C4×D13—41no—
447C2×C4×D13—41no—
448C2×C4×D13—41no—
449C2×C4×D13—41no—
450C2×C4×D13—41no—
451C2×C4×D13—41no—
452C2×C4×D13—41no—
453C2×C4×D13—41no—
454C2×C4×D13—41no—
455C2×C4×D13—41no—
456C2×C4×D13—41no—
457C2×C4×D13—41no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
462C2×C4×D13C22×C414yes—
463C2×C4×D13C22×C414yes—
464C2×C4×D13C22×C414yes—
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×C4⋊C4—41no—
473C13×C4⋊C4—41no—
474C13×C4⋊C4—41no—
475C13×C4⋊C4—41no—
476C13×C4⋊C4C22×C414yes—
477C13×C4⋊C4C22×C414yes—
478C13×C4⋊C4C22×C414yes—
479C13×C22⋊C4—41no—
480C13×C22⋊C4—41no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4C22×C414yes—
483C13×C22⋊C4C22×C414yes—
484C13×C22⋊C4C22×C414yes—
485C42×C13—41no—
486C42×C13—41no—
487C42×C13—41no—
488C42×C13—41no—
489C42×C13—41no—
490C42×C13C22×C414yes—
491C22⋊Dic13—22no—
492C22⋊Dic13—41no—
493C22⋊Dic13—41no—
494C22⋊Dic13C22×C414yes—
495#6103—22no—
496#6103—22no—
497#6103—22no—
498#6103—22no—
499#6103—22no—
500#6103—22no—
501#6103—41no—
502#6103—41no—
503#6103—41no—
504#6103—41no—
505#6103—41no—
506#6103—41no—
507#6103—41no—
508#6103—41no—
509#6103—41no—
510#6103—41no—
511#6103—41no—
512#6103—41no—
513#6103—41no—
514#6103—41no—
515#6103—41no—
516#6103—41no—
517#6103—41no—
518#6103—41no—
519#6103—41no—
520#6103—41no—
521#6103C22×C414yes—
522#6103C22×C414yes—
523#6103C22×C414yes—
524#6103C22×C414yes—
525#6103C22×C414yes—
526#6103C22×C414yes—
527#6103C22×C414yes—
528#6103C22×C414yes—
529#6103C22×C414yes—
530#6103C22×C414yes—
531C4⋊Dic13—22no—
532C4⋊Dic13—41no—
533C4⋊Dic13—41no—
534C4⋊Dic13C22×C414yes—
535#6101—22no—
536#6101—22no—
537#6101—41no—
538#6101—41no—
539#6101—41no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544#6101—41no—
545#6101C22×C414yes—
546#6101C22×C414yes—
547C4×Dic13—22no—
548C4×Dic13—22no—
549C4×Dic13—22no—
550C4×Dic13—22no—
551C4×Dic13—22no—
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×Dic13—41no—
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#2358—131no—
576#2354—131no—
577#2353—131no—
578#2342—131no—
579#2342—131no—
580#2337—131no—
581#2337—131no—
582#2334D1311yescharacteristic, complemented
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×C13C23×C412yes—
601C23×C13C2511yescharacteristic
602C22×D13—21no—
603C22×D13—21no—
604C22×D13—21no—
605C22×D13—21no—
606C22×D13—21no—
607C22×D13—21no—
608C22×D13—21no—
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—21no—
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—44no—
627C22×D13—44no—
628C22×D13—44no—
629C22×D13—82no—
630C22×D13—82no—
631C22×D13—82no—
632C22×D13—82no—
633C22×D13C23×C412yes—
634C22×D13C23×C412yes—
635C22×D13C23×C412yes—
636C22×D13C23×C412yes—
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—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—82no—
674C2×C4×C13C23×C412yes—
675C2×C4×C13C23×C412yes—
676C2×C4×C13C23×C412yes—
677C2×C4×C13C23×C412yes—
678C2×C4×C13C23×C412yes—
679C2×C4×C13C23×C412yes—
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—82no—
713C2×Dic13C23×C412yes—
714C2×Dic13C23×C412yes—
715C2×Dic13C23×C412yes—
716C2×Dic13C23×C412yes—
717C2×Dic13H(5,𝔽2)12yes—
718C2×Dic13H(5,𝔽2)12yes—
719D52—44no—
720D52—44no—
721D52—44no—
722D52—44no—
723D52—44no—
724C4×D13—44no—
725C4×D13—44no—
726C4×D13—44no—
727C4×D13—44no—
728C4×D13—82no—
729C4×D13—82no—
730C4×D13—82no—
731C4×D13—82no—
732C4×D13—82no—
733C4×D13—82no—
734Dic26—44no—
735#538—1316no—
736C2×#126—131no—
737C2×#126C2×D1311yescharacteristic
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×#120—131no—
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×D4—131no—
755C2×C4×D4—131no—
756C2×#117—131no—
757C2×#117—131no—
758C2×#117—131no—
759C2×#117—131no—
760C22×C22⋊C4—131no—
761C22×C22⋊C4—131no—
762C22×C22⋊C4—131no—
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#390—131no—
775#389—131no—
776#389—131no—
777#389—131no—
778#389—131no—
779#389C2×D1311yescharacteristic, complemented
780#389C2×D1311yescharacteristic, complemented
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#388C2×D1311yescharacteristic
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#387C2×D1311yescharacteristic, complemented
823#387C2×D1311yescharacteristic, complemented
824#387C2×D1311yescharacteristic, complemented
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#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#385C2×D1311yescharacteristic
850#385C2×D1311yescharacteristic
851#384—131no—
852#383—131no—
853#383—131no—
854#382C2×D1311yescharacteristic, complemented
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⋊C4C2×D1311yescharacteristic, complemented
870C4×C4⋊C4C2×D1311yescharacteristic, complemented
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⋊C4C2×D1311yescharacteristic
887#376—131no—
888C2×#95—131no—
889C2×#95—131no—
890C43—131no—
891C22×C13—22no—
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—41no—
895C22×C13—41no—
896C22×C13—41no—
897C22×C13—41no—
898C22×C13C24×C411yescharacteristic
899C22×C13C2×H(5,𝔽2)11yescharacteristic
900C22×C13C2×H(5,𝔽2)11yescharacteristic
901C22×C13#58511yescharacteristic
902C22×C13#58511yescharacteristic
903C22×C13#58511yescharacteristic
904C22×C13#58511yescharacteristic
905C2×D13—22no—
906C2×D13—22no—
907C2×D13—22no—
908C2×D13—22no—
909C2×D13—22no—
910C2×D13—22no—
911C2×D13—22no—
912C2×D13—22no—
913C2×D13—22no—
914C2×D13—22no—
915C2×D13—22no—
916C2×D13—22no—
917C2×D13—41no—
918C2×D13—41no—
919C2×D13—41no—
920C2×D13—41no—
921C2×D13—41no—
922C2×D13—41no—
923C2×D13—41no—
924C2×D13—41no—
925C2×D13—41no—
926C2×D13—41no—
927C2×D13—41no—
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—88no—
934C4×C13—22no—
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—41no—
947C4×C13—41no—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—22no—
952Dic13—22no—
953Dic13—22no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960C25—131no—
961C22×Q8—131no—
962C22×D4—131no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4—131no—
967C22×D4—131no—
968C22×D4—131no—
969C23×C4—131no—
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×C4C22×D1311yescharacteristic
981#126—138no—
982#126C4×D1318yescomplemented
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#120—138no—
993C4×Q8—522no—
994C4×D4—138no—
995C4×D4—138no—
996C4×D4—522no—
997C4×D4—522no—
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⋊C4C22×D1311yescharacteristic
1022C2×C4⋊C4C22×D1311yescharacteristic
1023C2×C4⋊C4C22×D1311yescharacteristic
1024C2×C4⋊C4C22×D1311yescharacteristic
1025C2×C4⋊C4C22×D1311yescharacteristic
1026C2×C4⋊C4C22×D1311yescharacteristic
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C4⋊C4C22×D1311yescharacteristic
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—138no—
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⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—522no—
1073C2×C22⋊C4—522no—
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×C42C22×D1311yescharacteristic
1097C2×C42C22×D1311yescharacteristic
1098C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1131#95C22×D1311yescharacteristic
1132#95C22×D1311yescharacteristic
1133#95C22×D1311yescharacteristic
1134#95C22×D1311yescharacteristic
1135#95C22×D1311yescharacteristic
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142C2×C13—42no—
1143C2×C13#342811yescharacteristic
1144C2×C13C4×H(5,𝔽2)11yescharacteristic
1145C2×C13C4×H(5,𝔽2)11yescharacteristic
1146C2×C13#354511yescharacteristic
1147C2×C13#354611yescharacteristic
1148C2×C13#356011yescharacteristic
1149C2×C13#356611yescharacteristic
1150D13—42no—
1151D13—42no—
1152D13—42no—
1153D13—42no—
1154C24—131no—
1155C24—131no—
1156C24—131no—
1157C24—131no—
1158C24—134no—
1159C24—521no—
1160C24—521no—
1161C24—521no—
1162C24—521no—
1163C24—521no—
1164C24—521no—
1165C24C23×D1311yescharacteristic
1166C2×Q8—134no—
1167C2×Q8—521no—
1168C2×Q8—521no—
1169C2×D4—134no—
1170C2×D4—134no—
1171C2×D4—134no—
1172C2×D4—134no—
1173C2×D4—134no—
1174C2×D4—134no—
1175C2×D4—134no—
1176C2×D4—521no—
1177C2×D4—521no—
1178C2×D4—521no—
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×D4—521no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—131no—
1194C22×C4—131no—
1195C22×C4—131no—
1196C22×C4—131no—
1197C22×C4—131no—
1198C22×C4—131no—
1199C22×C4—134no—
1200C22×C4—134no—
1201C22×C4—134no—
1202C22×C4—134no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—262no—
1210C22×C4—262no—
1211C22×C4—262no—
1212C22×C4—521no—
1213C22×C4—521no—
1214C22×C4—521no—
1215C22×C4—521no—
1216C22×C4—521no—
1217C22×C4—521no—
1218C22×C4—521no—
1219C22×C4—521no—
1220C22×C4—521no—
1221C22×C4—521no—
1222C22×C4—521no—
1223C22×C4—521no—
1224C22×C4—521no—
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×C4C23×D1311yescharacteristic
1239C22×C4C23×D1311yescharacteristic
1240C22×C4C23×D1311yescharacteristic
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—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—134no—
1260C4⋊C4—134no—
1261C4⋊C4—134no—
1262C4⋊C4—262no—
1263C4⋊C4—262no—
1264C4⋊C4—262no—
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⋊C4C2×C4×D1314yes—
1276C4⋊C4C2×C4×D1314yes—
1277C4⋊C4C2×C4×D1314yes—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—134no—
1282C22⋊C4—134no—
1283C22⋊C4—134no—
1284C22⋊C4—134no—
1285C22⋊C4—134no—
1286C22⋊C4—134no—
1287C22⋊C4—134no—
1288C22⋊C4—134no—
1289C22⋊C4—134no—
1290C22⋊C4—134no—
1291C22⋊C4—134no—
1292C22⋊C4—262no—
1293C22⋊C4—262no—
1294C22⋊C4—262no—
1295C22⋊C4—262no—
1296C22⋊C4—262no—
1297C22⋊C4—262no—
1298C22⋊C4—262no—
1299C22⋊C4—521no—
1300C22⋊C4—521no—
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—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—134no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—521no—
1336C42—521no—
1337C42—521no—
1338C42—521no—
1339C42—521no—
1340C42—521no—
1341C42—521no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42C2×C4×D1314yes—
1346C13#3444611yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—132no—
1354C23—132no—
1355C23—132no—
1356C23—132no—
1357C23—261no—
1358C23—261no—
1359C23—261no—
1360C23—261no—
1361C23—261no—
1362C23—261no—
1363C23—261no—
1364C23—261no—
1365C23—261no—
1366C23—261no—
1367C23—261no—
1368C23—261no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—524no—
1382C23—524no—
1383C23—524no—
1384C23—1042no—
1385C23—1042no—
1386C23—1042no—
1387C23—1042no—
1388C23C22×C4×D1312yes—
1389C23C24×D1311yescharacteristic
1390Q8—524no—
1391D4—524no—
1392D4—524no—
1393D4—524no—
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—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—82no—
1435C2×C4—132no—
1436C2×C4—132no—
1437C2×C4—132no—
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—524no—
1472C2×C4—524no—
1473C2×C4—524no—
1474C2×C4—524no—
1475C2×C4—1042no—
1476C2×C4—1042no—
1477C2×C4—1042no—
1478C2×C4—1042no—
1479C2×C4—1042no—
1480C2×C4—1042no—
1481C2×C4—1042no—
1482C2×C4C22×C4×D1312yes—
1483C2×C4C22×C4×D1312yes—
1484C2×C4C22×C4×D1312yes—
1485C2×C4C22×C4×D1312yes—
1486C2×C4C22×C4×D1312yes—
1487C2×C4C22×C4×D1312yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—262no—
1496C22—262no—
1497C22—262no—
1498C22—262no—
1499C22—262no—
1500C22—262no—
1501C22—262no—
1502C22—262no—
1503C22—262no—
1504C22—262no—
1505C22—262no—
1506C22—262no—
1507C22—521no—
1508C22—521no—
1509C22—521no—
1510C22—521no—
1511C22—521no—
1512C22—521no—
1513C22—521no—
1514C22—521no—
1515C22—521no—
1516C22—521no—
1517C22—521no—
1518C22—521no—
1519C22—521no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—1048no—
1524C22C23×C4×D1311yescharacteristic
1525C22#1171964811yescharacteristic
1526C22#1171964811yescharacteristic
1527C22D13×H(5,𝔽2)11yescharacteristic
1528C22D13×H(5,𝔽2)11yescharacteristic
1529C22#1171965211yescharacteristic
1530C22#1171965211yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—262no—
1546C4—262no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—262no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C2—42no—
1558C2—522no—
1559C2—522no—
1560C2—522no—
1561C2—522no—
1562C2#1312803511yescharacteristic
1563C2#1312804211yescharacteristic
1564C2#1312804211yescharacteristic
1565C2#1312918411yescharacteristic
1566C2#1312920111yescharacteristic
1567C2#1312938911yescharacteristic
1568C2#1312951911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2334C2
socle, cosocleC23×C13C25
prime radicalC2×#11719409C2
hypercenter#2334D13
hypocenterC13#34446
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2334

Complements

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

NH ≅ G/Ntype
2. #13118027C2semidirect
3. #13117991C2semidirect
4. #13117985C2semidirect
5. #13117976C2semidirect
6. #13117965C2semidirect
7. #13117962C2semidirect
8. #13117887C2semidirect
9. #13117873C2semidirect
10. #13117869C2semidirect
11. #13117825C2semidirect
12. #13117821C2semidirect
13. #13117812C2semidirect
14. #13117781C2semidirect
15. #13117775C2semidirect
16. #13117684C2semidirect
17. #13117679C2semidirect
18. #13117649C2semidirect
19. #13117647C2semidirect
20. #13117590C2semidirect
21. #13117542C2semidirect
22. #13117535C2semidirect
23. #13117527C2semidirect
24. #13117513C2semidirect
25. #13117493C2semidirect
26. #13117489C2semidirect
27. #13117472C2semidirect
28. #126×Dic13C2semidirect
29. #13117375C2semidirect
30. #13117297C2semidirect
31. C13×#2334C2semidirect
35. #11719409C4semidirect
45. C2×#88141C22semidirect
56. C2×C4×D52C22semidirect
58. C2×#88126C22semidirect
59. C2×#88126C22semidirect
60. C13×#389C22semidirect
61. C13×#389C22semidirect
65. C13×#387C22semidirect
66. C13×#387C22semidirect
67. C13×#387C22semidirect
70. C13×#382C22semidirect
71. C4×C13×C4⋊C4C22semidirect
72. C4×C13×C4⋊C4C22semidirect
81. #11718651C22semidirect
82. #11718651C22semidirect
85. #11718650C22semidirect
86. #11718650C22semidirect
87. #11718650C22semidirect
92. #11718649C22semidirect
93. #11718648C22semidirect
94. #11718642C22semidirect
95. #11718642C22semidirect
96. #11718642C22semidirect
97. #11718637C22semidirect
98. C4⋊C4×Dic13C22semidirect
99. C4⋊C4×Dic13C22semidirect
100. C4⋊C4×Dic13C22semidirect
101. #11718635C22semidirect
102. #11718634C22semidirect
103. #11718634C22semidirect
104. #11718633C22semidirect
105. #11718633C22semidirect
125. #11718601C22semidirect
126. #11718601C22semidirect
133. C4×#6103C22semidirect
134. C4×#6103C22semidirect
135. #11718598C22semidirect
136. #11718594C22semidirect
137. C4×#6101C22semidirect
138. C4×#6101C22semidirect
139. C42×Dic13C22semidirect
148. #11718330C22semidirect
149. #11718330C22semidirect
150. #11718330C22semidirect
151. #11718330C22semidirect
154. #11718329C22semidirect
157. #11718328C22semidirect
160. #11718327C22semidirect
161. #11718327C22semidirect
162. #11718327C22semidirect
163. #11718327C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
176. D13×#95C22semidirect
177. D13×#95C22semidirect
178. #11718316C22semidirect
179. #11718316C22semidirect
180. #11718314C22semidirect
181. #11718314C22semidirect
182. #11718313C22semidirect
183. #11718312C22semidirect
184. #11718310C22semidirect
185. #11718309C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
209. C13×#126C2×C4semidirect
306. #88152C2×C4semidirect
307. #88150C2×C4semidirect
308. #88149C2×C4semidirect
309. #88149C2×C4semidirect
310. #88148C2×C4semidirect
313. #88147C2×C4semidirect
316. #88139C2×C4semidirect
317. #88138C2×C4semidirect
318. #88137C2×C4semidirect
319. #88136C2×C4semidirect
320. #88136C2×C4semidirect
323. C22⋊C4×D13C2×C4semidirect
324. #88129C2×C4semidirect
326. C4×D52C2×C4semidirect
582. #2334D13semidirect
779. #389C2×D13semidirect
780. #389C2×D13semidirect
822. #387C2×D13semidirect
823. #387C2×D13semidirect
824. #387C2×D13semidirect
854. #382C2×D13semidirect
869. C4×C4⋊C4C2×D13semidirect
870. C4×C4⋊C4C2×D13semidirect
982. #126C4×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×#117194092
#131180272
#131179912
#131179852
#131179762
#131179652
#131179622
#131178872
#131178732
#131178692
#131178252
#131178212
#131178122
#131177812
#131177752
#131176842
#131176792
#131176492
#131176472
#131175902
#131175422
#131175352
#131175272
#131175132
#131174932
#131174892
#131174722
#126×Dic132
#131173752
#131172972
C13×#23342
#3444613