Finite Group Databasebeta

← #15868063

Subgroups — #15868063

Order 3328.

1150 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719239C211yesmaximal, characteristic
2C2×#11718661C211yesmaximal, characteristic, complemented
3#13115788C211yesmaximal, characteristic, complemented
4#13115784C211yesmaximal, characteristic, complemented
5#13115768C211yesmaximal, characteristic, complemented
6#13115768C211yesmaximal, characteristic, complemented
7#13115158C211yesmaximal, characteristic
8#13115153C211yesmaximal, characteristic
9#13115148C211yesmaximal, characteristic, complemented
10#13115143C211yesmaximal, characteristic, complemented
11#13114669C211yesmaximal, characteristic, complemented
12#13114664C211yesmaximal, characteristic, complemented
13C4×#88050C211yesmaximal, characteristic, complemented
14C4×#88049C211yesmaximal, characteristic, complemented
15C13×#2274C211yesmaximal, characteristic, complemented
16C2×C13×#117C2211yescharacteristic
17C2×C13×#117C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C2×#88184C2211yescharacteristic
20C2×#88178C2211yescharacteristic
21#11719239—24no—
22#11719239C418yescomplemented
23C2×#88152—21no—
24C2×#88150—21no—
25C2×#88139—21no—
26C2×#88137—21no—
27C2×#88129C2211yescharacteristic
28C2×C4×D52C2211yescharacteristic
29C2×#88123C2211yescharacteristic
30C2×C4×Dic26C2211yescharacteristic
31C4×C13×C4⋊C4—21no—
32C4×C13×C4⋊C4—21no—
33C4×C13×C4⋊C4C2211yescharacteristic
34C4×C13×C4⋊C4C2211yescharacteristic
35C4×C13×C4⋊C4C2211yescharacteristic
36C4×C13×C4⋊C4C2211yescharacteristic
37C4×C13×C22⋊C4—21no—
38C4×C13×C22⋊C4—21no—
39C2×C22⋊#1055C2211yescharacteristic
40C2×C22⋊#1055C2211yescharacteristic
41#11718661—24no—
42C2×#88050C2211yescharacteristic
43C2×#88050C2211yescharacteristic
44C2×#88050C2211yescharacteristic
45C2×#88050C2211yescharacteristic
46C2×#88049C2211yescharacteristic
47C2×#88049C2211yescharacteristic
48C2×#88049C2211yescharacteristic
49C2×#88049C2211yescharacteristic
50C2×C4⋊#1055C2211yescharacteristic
51C2×C4⋊#1055C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×C4×#1055C2211yescharacteristic
54#11718121C2211yescharacteristic
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C23×C4×C13—21no—
63C23×C4×C13C2311yescharacteristic
64C22×C22⋊D13—21no—
65C22×D52C2311yescharacteristic
66C22×C4×D13—21no—
67C22×Dic26—21no—
68C22×Dic26C2311yescharacteristic
69C13×#117—22no—
70C13×#117—22no—
71C13×#117C2×C414yes—
72C13×#117D414yes—
73C2×C13×C4⋊C4—21no—
74C2×C13×C4⋊C4—22no—
75C2×C13×C4⋊C4—22no—
76C2×C13×C4⋊C4D411yescharacteristic
77C2×C13×C4⋊C4D411yescharacteristic
78C2×C13×C4⋊C4C2311yescharacteristic
79C2×C13×C4⋊C4C2311yescharacteristic
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C22⋊C4—21no—
83C2×C13×C22⋊C4D411yescharacteristic
84C2×C13×C22⋊C4D411yescharacteristic
85C2×C42×C13—21no—
86C2×C42×C13—21no—
87C2×C42×C13—21no—
88C2×C42×C13—21no—
89C2×C42×C13—21no—
90C2×C42×C13C2311yescharacteristic
91C2×C42×C13C2311yescharacteristic
92C2×C22⋊Dic13—21no—
93#88184—22no—
94#88184C2×C414yes—
95C2×#6103—21no—
96C2×#6103—21no—
97C2×#6103—21no—
98C2×#6103—21no—
99C2×C4⋊Dic13—21no—
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102#88178—22no—
103#88178C2×C414yes—
104C2×#6101—21no—
105C2×#6101—21no—
106C2×C4×Dic13—21no—
107C22×#1055C2311yescharacteristic
108C22×#1055C2311yescharacteristic
109C22×#1055C2311yescharacteristic
110C22×#1055C2311yescharacteristic
111#88152—28no—
112#88150—28no—
113#88139—28no—
114#88137—28no—
115#88129—22no—
116#88129C2×C414yescomplemented
117C4×D52—22no—
118C4×D52C2×C414yescomplemented
119#88123—22no—
120#88123C2×C414yescomplemented
121C4×Dic26—22no—
122C4×Dic26C2×C414yescomplemented
123C13×#95—21no—
124C13×#95—21no—
125C13×#95—21no—
126C13×#95—21no—
127C22⋊#1055—22no—
128C22⋊#1055—22no—
129#88050—22no—
130#88050—22no—
131#88050—22no—
132#88050—22no—
133#88049—22no—
134#88049—22no—
135#88049—22no—
136#88049—22no—
137C4⋊#1055—22no—
138C4⋊#1055—22no—
139#88043—22no—
140C4×#1055—22no—
141#21397—131nomaximal, Sylow
142C24×C13C2×D411yescharacteristic
143C23×D13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—21no—
152C22×C4×C13—24no—
153C22×C4×C13—81no—
154C22×C4×C13—81no—
155C22×C4×C13C22×C412yes—
156C22×C4×C13C2×D412yes—
157C22×C4×C13C2×D411yescharacteristic
158C22×C4×C13C2×D411yescharacteristic
159C22×C4×C13C2×D411yescharacteristic
160C22×C4×C13C2×D411yescharacteristic
161C22×C4×C13C2×D411yescharacteristic
162C22×C4×C13C2411yescharacteristic
163C2×C22⋊D13—24no—
164C2×C22⋊D13—81no—
165C2×C22⋊D13—81no—
166C22×Dic13—21no—
167C22×Dic13—21no—
168C22×Dic13—21no—
169C2×D52—21no—
170C2×D52—21no—
171C2×D52—21no—
172C2×D52—21no—
173C2×D52—21no—
174C2×D52C22×C412yes—
175C2×C4×D13—24no—
176C2×C4×D13—81no—
177C2×C4×D13—81no—
178C2×Dic26—21no—
179C2×Dic26—21no—
180C2×Dic26—21no—
181C2×Dic26—21no—
182C2×Dic26—21no—
183C2×Dic26—24no—
184C2×Dic26—81no—
185C2×Dic26—81no—
186C2×Dic26C22×C412yes—
187C13×C4⋊C4—24no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—21no—
191C13×C4⋊C4—21no—
192C13×C4⋊C4C22⋊C414yes—
193C13×C4⋊C4C22⋊C414yes—
194C13×C4⋊C4#4112yes—
195C13×C4⋊C4#4112yes—
196C13×C4⋊C4#4112yes—
197C13×C4⋊C4#4112yes—
198C13×C22⋊C4—24no—
199C13×C22⋊C4C22⋊C414yes—
200C13×C22⋊C4C22⋊C414yes—
201C42×C13—24no—
202C42×C13—81no—
203C42×C13—81no—
204C42×C13—81no—
205C42×C13—81no—
206C42×C13C22×C412yes—
207C42×C13C22×C412yes—
208C42×C13C2×D412yes—
209C42×C13C2×D412yes—
210C22⋊Dic13—24no—
211#6103—24no—
212#6103—24no—
213#6103—24no—
214#6103—24no—
215C4⋊Dic13—24no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13C22×C412yes—
219C4⋊Dic13C22×C412yes—
220#6101—24no—
221#6101—24no—
222C4×Dic13—24no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—21no—
235C2×#542—131no—
236C2×#433—131no—
237#2274D1311yescharacteristic, complemented
238#1988—131no—
239#1987—131no—
240#1983—131no—
241#1983—131no—
242#1875—131no—
243#1874—131no—
244#1873—131no—
245#1872—131no—
246#1763—131no—
247#1762—131no—
248C4×#103—131no—
249C4×#102—131no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13C2×C22⋊C412yes—
257C23×C13C22×D411yescharacteristic
258C22×D13—22no—
259C22×D13—41no—
260C22×D13—41no—
261C22×D13—41no—
262C22×D13—41no—
263C22×D13—41no—
264C22×D13—41no—
265C2×C4×C13—21no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—21no—
271C2×C4×C13—21no—
272C2×C4×C13—21no—
273C2×C4×C13—21no—
274C2×C4×C13—21no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—41no—
284C2×C4×C13—41no—
285C2×C4×C13—41no—
286C2×C4×C13—41no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—84no—
292C2×C4×C13C2×C22⋊C412yes—
293C2×C4×C13C2×C22⋊C412yes—
294C2×C4×C13C2×C22⋊C412yes—
295C2×C4×C13C2×C22⋊C412yes—
296C2×C4×C13C2×C22⋊C412yes—
297C2×C4×C13C23×C411yescharacteristic
298C2×C4×C13C22×D411yescharacteristic
299C2×C4×C13C2×#4111yescharacteristic
300C2×C4×C13C2×#4111yescharacteristic
301C2×C4×C13C2×#4111yescharacteristic
302C2×C4×C13C2×#4111yescharacteristic
303C22⋊D13—84no—
304C2×Dic13—22no—
305C2×Dic13—22no—
306C2×Dic13—22no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313D52—22no—
314D52—22no—
315D52—41no—
316D52—41no—
317C4×D13—84no—
318Dic26—22no—
319Dic26—22no—
320Dic26—41no—
321Dic26—41no—
322Dic26—84no—
323#1055—41no—
324#1055—41no—
325#1055—41no—
326#1055—41no—
327#542—138no—
328#542—264no—
329C2×C4⋊Q8—131no—
330C2×#126—261no—
331C2×#124—131no—
332C2×#124—261no—
333C2×#123—261no—
334C2×C22⋊Q8—131no—
335C2×C22⋊Q8—261no—
336C2×#121—131no—
337C2×C4×Q8—131no—
338C2×C4×D4—131no—
339C2×#117C2×D1311yescharacteristic
340C2×#117C2×D1311yescharacteristic
341C22×C4⋊C4C2×D1311yescharacteristic
342#433—264no—
343C2×C4⋊C8—131no—
344C2×C4⋊C8—131no—
345C2×#103—131no—
346C2×#103—131no—
347C2×#103—131no—
348C2×#103—131no—
349C2×#102—131no—
350C2×#102—131no—
351C2×#102—131no—
352C2×#102—131no—
353C2×C22⋊C8—131no—
354C2×C22⋊C8—131no—
355C2×#97—131no—
356C2×C4×C8—131no—
357C4×C4⋊C4—21no—
358C4×C4⋊C4—21no—
359C4×C4⋊C4C2×D1311yescharacteristic
360C4×C4⋊C4C2×D1311yescharacteristic
361C4×C4⋊C4C2×D1311yescharacteristic
362C4×C4⋊C4C2×D1311yescharacteristic
363C4×C22⋊C4—21no—
364C4×C22⋊C4—21no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369#340—131no—
370#340—131no—
371#340—131no—
372#340—131no—
373C22×C13—22no—
374C22×C13—22no—
375C22×C13—22no—
376C22×C13—41no—
377C22×C13—41no—
378C22×C13—41no—
379C22×C13—41no—
380C22×C13C22×C22⋊C411yescharacteristic
381C22×C13#52511yescharacteristic
382C22×C13#52511yescharacteristic
383C22×C13#57611yescharacteristic
384C22×C13#57711yescharacteristic
385C22×C13#57711yescharacteristic
386C22×C13#57811yescharacteristic
387C2×D13—42no—
388C2×D13—42no—
389C2×D13—42no—
390C2×D13—81no—
391C2×D13—81no—
392C2×D13—81no—
393C2×D13—81no—
394C4×C13—22no—
395C4×C13—22no—
396C4×C13—22no—
397C4×C13—22no—
398C4×C13—22no—
399C4×C13—42no—
400C4×C13—42no—
401C4×C13—42no—
402C4×C13—42no—
403C4×C13C4×#4111yescharacteristic
404C4×C13C4×#4111yescharacteristic
405C4×C13#53211yescharacteristic
406C4×C13#53211yescharacteristic
407Dic13—42no—
408Dic13—42no—
409Dic13—42no—
410C22×Q8—131no—
411C22×Q8—261no—
412C22×D4—131no—
413C22×D4—261no—
414C23×C4—21no—
415C23×C4—261no—
416C23×C4C22×D1311yescharacteristic
417C22×C8—131no—
418C22×C8—131no—
419C22×C8—131no—
420C22×C8—131no—
421C4⋊Q8—134no—
422C4⋊Q8—262no—
423#126—268no—
424#124—134no—
425#124—268no—
426#124—262no—
427#123—268no—
428C22⋊Q8—134no—
429C22⋊Q8—262no—
430C22⋊Q8—268no—
431#121—134no—
432#121—262no—
433C4×Q8—134no—
434C4×Q8—262no—
435C4×D4—134no—
436C4×D4—262no—
437#117—22no—
438#117—22no—
439#117C4×D1314yes—
440#117D5214yes—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—22no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—261no—
447C2×C4⋊C4—261no—
448C2×C4⋊C4—261no—
449C2×C4⋊C4C22⋊D1311yescharacteristic
450C2×C4⋊C4C22⋊D1311yescharacteristic
451C2×C4⋊C4C22×D1311yescharacteristic
452C2×C4⋊C4C22×D1311yescharacteristic
453C2×C4⋊C4C22×D1311yescharacteristic
454C2×C4⋊C4C22×D1311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—261no—
457C2×C22⋊C4—261no—
458C2×C22⋊C4—261no—
459C2×C22⋊C4—261no—
460C2×C22⋊C4—261no—
461C2×C22⋊C4C22⋊D1311yescharacteristic
462C2×C22⋊C4C22⋊D1311yescharacteristic
463C2×C42—21no—
464C2×C42—21no—
465C2×C42—21no—
466C2×C42—21no—
467C2×C42—21no—
468C2×C42—261no—
469C2×C42C22×D1311yescharacteristic
470C2×C42C22×D1311yescharacteristic
471C4⋊C8—262no—
472C4⋊C8—262no—
473#103—262no—
474#103—262no—
475#103—262no—
476#103—262no—
477#102—262no—
478#102—262no—
479#102—262no—
480#102—262no—
481C22⋊C8—262no—
482C22⋊C8—262no—
483#97—262no—
484C4×C8—262no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489C2×C13—42no—
490C2×C13#229711yescharacteristic
491C2×C13#289711yescharacteristic
492C2×C13#289811yescharacteristic
493C2×C13#311811yescharacteristic
494C2×C13#312111yescharacteristic
495C2×C13#312411yescharacteristic
496C2×C13#312511yescharacteristic
497D13—82no—
498C24—261no—
499C24C2×C22⋊D1311yescharacteristic
500C2×Q8—132no—
501C2×Q8—264no—
502C2×Q8—261no—
503C2×Q8—261no—
504C2×Q8—261no—
505C2×Q8—261no—
506C2×Q8—261no—
507C2×Q8—1041no—
508C2×Q8—1041no—
509C2×D4—132no—
510C2×D4—264no—
511C2×D4—261no—
512C2×D4—261no—
513C2×D4—261no—
514C2×D4—261no—
515C2×D4—261no—
516C2×D4—1041no—
517C2×D4—1041no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—261no—
530C22×C4—261no—
531C22×C4—261no—
532C22×C4—264no—
533C22×C4—1041no—
534C22×C4—1041no—
535C22×C4C2×C4×D1312yes—
536C22×C4C2×D5212yes—
537C22×C4C2×C22⋊D1311yescharacteristic
538C22×C4C2×C22⋊D1311yescharacteristic
539C22×C4C2×C22⋊D1311yescharacteristic
540C22×C4C2×C22⋊D1311yescharacteristic
541C22×C4C2×C22⋊D1311yescharacteristic
542C22×C4C23×D1311yescharacteristic
543C2×C8—261no—
544C2×C8—261no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C2×C8—261no—
552C2×C8—261no—
553C2×C8—261no—
554C2×C8—261no—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—132no—
561C4⋊C4—132no—
562C4⋊C4—264no—
563C4⋊C4—264no—
564C4⋊C4—264no—
565C4⋊C4—261no—
566C4⋊C4—261no—
567C4⋊C4#610314yes—
568C4⋊C4#610314yes—
569C4⋊C4#612712yes—
570C4⋊C4#612712yes—
571C4⋊C4#612712yes—
572C4⋊C4#612712yes—
573C22⋊C4—24no—
574C22⋊C4—264no—
575C22⋊C4—264no—
576C22⋊C4—264no—
577C22⋊C4—264no—
578C22⋊C4—264no—
579C22⋊C4#610314yes—
580C22⋊C4#610314yes—
581C42—24no—
582C42—81no—
583C42—81no—
584C42—81no—
585C42—81no—
586C42—264no—
587C42C2×C4×D1312yes—
588C42C2×C4×D1312yes—
589C42C2×D5212yes—
590C42C2×D5212yes—
591C13#2139711yescharacteristic, complemented, Sylow
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—262no—
599C23—521no—
600C23—521no—
601C23—521no—
602C23—521no—
603C23—521no—
604C23—521no—
605C23C2×#610312yes—
606C23C22×C22⋊D1311yescharacteristic
607Q8—262no—
608Q8—262no—
609Q8—521no—
610Q8—521no—
611Q8—1044no—
612D4—262no—
613D4—262no—
614D4—521no—
615D4—521no—
616D4—1044no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—262no—
647C2×C4—521no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—1044no—
654C2×C4C2×#610312yes—
655C2×C4C2×#610312yes—
656C2×C4C2×#610312yes—
657C2×C4C2×#610312yes—
658C2×C4C2×#610312yes—
659C2×C4C22×C4×D1311yescharacteristic
660C2×C4C22×D5211yescharacteristic
661C2×C4C2×#612711yescharacteristic
662C2×C4C2×#612711yescharacteristic
663C2×C4C2×#612711yescharacteristic
664C2×C4C2×#612711yescharacteristic
665C8—521no—
666C8—521no—
667C8—521no—
668C8—521no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—522no—
677C22—522no—
678C22—522no—
679C22—1041no—
680C22—1041no—
681C22—1041no—
682C22—1041no—
683C22C22×#610311yescharacteristic
684C22#1171949611yescharacteristic
685C22#1171949611yescharacteristic
686C22#1171954011yescharacteristic
687C22#1171954111yescharacteristic
688C22#1171954211yescharacteristic
689C22#1171954311yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—42no—
699C4—522no—
700C4—522no—
701C4—522no—
702C4C4×#612711yescharacteristic
703C4C4×#612711yescharacteristic
704C4#1171918211yescharacteristic
705C4#1171918211yescharacteristic
706C2—42no—
707C2—1042no—
708C2#1311732611yescharacteristic
709C2#1312335911yescharacteristic
710C2#1312336611yescharacteristic
711C2#1312502011yescharacteristic
712C2#1312506511yescharacteristic
713C2#1312509811yescharacteristic
714C2#1312511311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2274C2
socleC23×C13C22×D4
prime radicalC2×#88184C22
cosocleC22×C4×C13C24
hypercenter#2274D13
hypocenterC13#21397
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. C2×#11718661C2semidirect
3. #13115788C2semidirect
4. #13115784C2semidirect
5. #13115768C2semidirect
6. #13115768C2semidirect
9. #13115148C2semidirect
10. #13115143C2semidirect
11. #13114669C2semidirect
12. #13114664C2semidirect
13. C4×#88050C2semidirect
14. C4×#88049C2semidirect
15. C13×#2274C2semidirect
22. #11719239C4semidirect
116. #88129C2×C4semidirect
118. C4×D52C2×C4semidirect
120. #88123C2×C4semidirect
122. C4×Dic26C2×C4semidirect
237. #2274D13semidirect
591. C13#21397semidirect

Maximal subgroups

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

subgroupindex
C2×#117192392
C2×#117186612
#131157882
#131157842
#131157682
#131151582
#131151532
#131151482
#131151432
#131146692
#131146642
C4×#880502
C4×#880492
C13×#22742
#2139713