Finite Group Databasebeta

← #15863023

Subgroups — #15863023

Order 3328.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719228C211yesmaximal, characteristic
2C2×#11718661C211yesmaximal, characteristic, complemented
3#13114924C211yesmaximal, characteristic, complemented
4#13114920C211yesmaximal, characteristic, complemented
5#13114848C211yesmaximal, characteristic, complemented
6#13114843C211yesmaximal, characteristic, complemented
7#13114838C211yesmaximal, characteristic, complemented
8#13114833C211yesmaximal, characteristic, complemented
9#13114774C211yesmaximal, characteristic
10#13114774C211yesmaximal, characteristic
11#13114669C211yesmaximal, characteristic, complemented
12#13114664C211yesmaximal, characteristic, complemented
13C4×#88050C211yesmaximal, characteristic, complemented
14C4×#88049C211yesmaximal, characteristic, complemented
15C13×#2314C211yesmaximal, characteristic, complemented
16C22×#6127C2211yescharacteristic
17C2×C13×#117C2211yescharacteristic
18C22×C4⋊Dic13C2211yescharacteristic
19#11719228—24no—
20#11719228C418yescomplemented
21C2×#88146—21no—
22C2×C4⋊C4×D13—21no—
23C2×#88135—21no—
24C2×#88135—21no—
25C2×C4×D52C2211yescharacteristic
26C2×C4×D52C2211yescharacteristic
27C2×C4×Dic26C2211yescharacteristic
28C2×C4×Dic26C2211yescharacteristic
29C13×#388—21no—
30C13×#388—21no—
31C13×#387—21no—
32C13×#387—21no—
33C13×#384C2211yescharacteristic
34C13×#382C2211yescharacteristic
35C13×#380C2211yescharacteristic
36C13×#380C2211yescharacteristic
37C4×C13×C4⋊C4C2211yescharacteristic
38C4×C13×C4⋊C4C2211yescharacteristic
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×C13C2311yescharacteristic
63C22×C22⋊D13—21no—
64C23×Dic13—21no—
65C2×#6127—22no—
66C2×#6127—22no—
67C2×#6127—22no—
68C2×#6127—22no—
69C2×#6127—22no—
70C2×#6127C2×C414yes—
71C22×D52C2311yescharacteristic
72C22×C4×D13—21no—
73C22×C4×D13—21no—
74C22×C4×D13—21no—
75C22×Dic26C2311yescharacteristic
76C13×#117C2×C414yes—
77C13×#117D414yes—
78C2×C13×C4⋊C4—21no—
79C2×C13×C4⋊C4—21no—
80C2×C13×C4⋊C4D411yescharacteristic
81C2×C13×C4⋊C4D411yescharacteristic
82C2×C13×C4⋊C4C2311yescharacteristic
83C2×C13×C4⋊C4C2311yescharacteristic
84C2×C13×C4⋊C4C2311yescharacteristic
85C2×C13×C4⋊C4C2311yescharacteristic
86C2×C13×C22⋊C4—21no—
87C2×C13×C22⋊C4—21no—
88C2×C13×C22⋊C4D411yescharacteristic
89C2×C13×C22⋊C4D411yescharacteristic
90C2×C42×C13—21no—
91C2×C42×C13—21no—
92C2×C42×C13C2311yescharacteristic
93C2×C42×C13C2311yescharacteristic
94C2×#6103—21no—
95C2×#6103—21no—
96C2×C4⋊Dic13—21no—
97C2×C4⋊Dic13—22no—
98C2×C4⋊Dic13C2×C414yes—
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101C2×#6101—21no—
102C2×#6101—21no—
103C2×C4×Dic13—21no—
104C2×C4×Dic13—21no—
105C22×#1055C2311yescharacteristic
106C22×#1055C2311yescharacteristic
107C22×#1055C2311yescharacteristic
108C22×#1055C2311yescharacteristic
109#88146—28no—
110C4⋊C4×D13—28no—
111#88135—28no—
112#88135—28no—
113C4×D52—22no—
114C4×D52—22no—
115C4×D52C2×C414yes—
116C4×D52C2×C414yes—
117C4×Dic26—22no—
118C4×Dic26—22no—
119C4×Dic26C2×C414yes—
120C4×Dic26C2×C414yes—
121C13×#95—21no—
122C13×#95—21no—
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#20746—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×C13C22×C412yes—
153C22×C4×C13C2×D412yes—
154C22×C4×C13C2×D411yescharacteristic
155C22×C4×C13C2×D411yescharacteristic
156C22×C4×C13C2×D411yescharacteristic
157C22×C4×C13C2×D411yescharacteristic
158C22×C4×C13C2×D411yescharacteristic
159C22×C4×C13C2411yescharacteristic
160C2×C22⋊D13—24no—
161C2×C22⋊D13—24no—
162C2×C22⋊D13—24no—
163C22×Dic13—21no—
164C22×Dic13—21no—
165C22×Dic13—21no—
166C22×Dic13—24no—
167C22×Dic13—81no—
168C22×Dic13—81no—
169#6127—28no—
170#6127—28no—
171#6127—28no—
172#6127—28no—
173C2×D52—21no—
174C2×D52—21no—
175C2×D52—21no—
176C2×D52C22×C412yes—
177C2×D52#4112yes—
178C2×D52#4112yes—
179C2×C4×D13—24no—
180C2×C4×D13—24no—
181C2×C4×D13—24no—
182C2×C4×D13—24no—
183C2×C4×D13—24no—
184C2×C4×D13—81no—
185C2×C4×D13—81no—
186C2×C4×D13—81no—
187C2×C4×D13—81no—
188C2×Dic26—21no—
189C2×Dic26—21no—
190C2×Dic26—21no—
191C2×Dic26C22×C412yes—
192C2×Dic26#4112yes—
193C2×Dic26#4112yes—
194C13×C4⋊C4—21no—
195C13×C4⋊C4—21no—
196C13×C4⋊C4—21no—
197C13×C4⋊C4—21no—
198C13×C4⋊C4—21no—
199C13×C4⋊C4—21no—
200C13×C4⋊C4—21no—
201C13×C4⋊C4—21no—
202C13×C4⋊C4—81no—
203C13×C4⋊C4—81no—
204C13×C4⋊C4C22⋊C414yes—
205C13×C4⋊C4C22⋊C414yes—
206C13×C22⋊C4—81no—
207C13×C22⋊C4—81no—
208C13×C22⋊C4C22⋊C414yes—
209C13×C22⋊C4C22⋊C414yes—
210C42×C13—81no—
211C42×C13—81no—
212C42×C13C22×C412yes—
213C42×C13C22×C412yes—
214C42×C13C2×D412yes—
215C42×C13C2×D412yes—
216#6103—24no—
217#6103—24no—
218C4⋊Dic13—24no—
219C4⋊Dic13—21no—
220C4⋊Dic13—21no—
221C4⋊Dic13C22×C412yes—
222C4⋊Dic13C22×C412yes—
223#6101—24no—
224#6101—24no—
225C4×Dic13—24no—
226C4×Dic13—24no—
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×#1055—21no—
236C2×#1055—21no—
237C2×#1055—21no—
238C2×#1055—21no—
239C2×#520—131no—
240C2×#433—131no—
241#2314D1311yescharacteristic, complemented
242#1824—131no—
243#1823—131no—
244#1805—131no—
245#1804—131no—
246#1803—131no—
247#1802—131no—
248#1788—131no—
249#1788—131no—
250#1763—131no—
251#1762—131no—
252C4×#103—131no—
253C4×#102—131no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13—21no—
259C23×C13—21no—
260C23×C13C2×C22⋊C412yes—
261C23×C13C22×D411yescharacteristic
262C22×D13—22no—
263C22×D13—22no—
264C22×D13—22no—
265C22×D13—41no—
266C22×D13—41no—
267C22×D13—41no—
268C22×D13—41no—
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—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
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—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13C2×C22⋊C412yes—
296C2×C4×C13C2×C22⋊C412yes—
297C2×C4×C13C2×C22⋊C412yes—
298C2×C4×C13C2×C22⋊C412yes—
299C2×C4×C13C2×C22⋊C412yes—
300C2×C4×C13C23×C411yescharacteristic
301C2×C4×C13C22×D411yescharacteristic
302C2×C4×C13C2×#4111yescharacteristic
303C2×C4×C13C2×#4111yescharacteristic
304C2×C4×C13C2×#4111yescharacteristic
305C2×C4×C13C2×#4111yescharacteristic
306C22⋊D13—216no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—84no—
317D52—22no—
318D52—22no—
319D52—22no—
320D52#11714yes—
321C4×D13—216no—
322C4×D13—84no—
323C4×D13—84no—
324Dic26—22no—
325Dic26—22no—
326Dic26—22no—
327Dic26#11714yes—
328#1055—41no—
329#1055—41no—
330#1055—41no—
331#1055—41no—
332C22×#41—131no—
333#520—138no—
334#520—264no—
335C2×C4×Q8—131no—
336C2×C4×Q8—131no—
337C2×C4×D4—131no—
338C2×C4×D4—131no—
339C2×C4×D4—261no—
340C2×C4×D4—261no—
341C2×#117—261no—
342C2×#117C2×D1311yescharacteristic
343C22×C4⋊C4—131no—
344C22×C4⋊C4—261no—
345#433—264no—
346C2×C4⋊C8—131no—
347C2×C4⋊C8—131no—
348C2×#103—131no—
349C2×#103—131no—
350C2×#103—131no—
351C2×#103—131no—
352C2×#102—131no—
353C2×#102—131no—
354C2×#102—131no—
355C2×#102—131no—
356C2×C22⋊C8—131no—
357C2×C22⋊C8—131no—
358C2×#97—131no—
359C2×C4×C8—131no—
360#388—21no—
361#388—21no—
362#387—21no—
363#387—21no—
364#384C2×D1311yescharacteristic
365#382C2×D1311yescharacteristic
366#380C2×D1311yescharacteristic
367#380C2×D1311yescharacteristic
368C4×C4⋊C4C2×D1311yescharacteristic
369C4×C4⋊C4C2×D1311yescharacteristic
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#340—131no—
375#340—131no—
376#340—131no—
377#340—131no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—22no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—41no—
384C22×C13—41no—
385C22×C13C22×C22⋊C411yescharacteristic
386C22×C13#52511yescharacteristic
387C22×C13#52511yescharacteristic
388C22×C13#57611yescharacteristic
389C22×C13#57711yescharacteristic
390C22×C13#57711yescharacteristic
391C22×C13#57811yescharacteristic
392C2×D13—24no—
393C2×D13—42no—
394C2×D13—42no—
395C2×D13—42no—
396C2×D13—42no—
397C2×D13—42no—
398C2×D13—42no—
399C4×C13—22no—
400C4×C13—22no—
401C4×C13—22no—
402C4×C13—22no—
403C4×C13—22no—
404C4×C13—81no—
405C4×C13—81no—
406C4×C13—81no—
407C4×C13—81no—
408C4×C13C2×#11711yescharacteristic
409C4×C13C2×#11711yescharacteristic
410C4×C13#52511yescharacteristic
411C4×C13#52511yescharacteristic
412Dic13—24no—
413Dic13—42no—
414Dic13—42no—
415C2×#41—134no—
416C2×#41—262no—
417C2×#41—262no—
418C2×#41—262no—
419C2×#41—262no—
420C2×#41—262no—
421C22×Q8—131no—
422C22×D4—131no—
423C22×D4—261no—
424C23×C4—261no—
425C23×C4—261no—
426C23×C4—261no—
427C23×C4—261no—
428C23×C4C22×D1311yescharacteristic
429C22×C8—131no—
430C22×C8—131no—
431C22×C8—131no—
432C22×C8—131no—
433C4×Q8—134no—
434C4×Q8—134no—
435C4×Q8—262no—
436C4×Q8—262no—
437C4×D4—134no—
438C4×D4—134no—
439C4×D4—268no—
440C4×D4—268no—
441C4×D4—262no—
442C4×D4—262no—
443#117—268no—
444#117C4×D1314yes—
445#117D5214yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—134no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—131no—
451C2×C4⋊C4—262no—
452C2×C4⋊C4—261no—
453C2×C4⋊C4—261no—
454C2×C4⋊C4—261no—
455C2×C4⋊C4—268no—
456C2×C4⋊C4C22⋊D1311yescharacteristic
457C2×C4⋊C4C22⋊D1311yescharacteristic
458C2×C4⋊C4C22×D1311yescharacteristic
459C2×C4⋊C4C22×D1311yescharacteristic
460C2×C4⋊C4C22×D1311yescharacteristic
461C2×C4⋊C4C22×D1311yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—261no—
465C2×C22⋊C4—261no—
466C2×C22⋊C4C22⋊D1311yescharacteristic
467C2×C22⋊C4C22⋊D1311yescharacteristic
468C2×C42—21no—
469C2×C42—21no—
470C2×C42—261no—
471C2×C42—261no—
472C2×C42C22×D1311yescharacteristic
473C2×C42C22×D1311yescharacteristic
474C4⋊C8—262no—
475C4⋊C8—262no—
476#103—262no—
477#103—262no—
478#103—262no—
479#103—262no—
480#102—262no—
481#102—262no—
482#102—262no—
483#102—262no—
484C22⋊C8—262no—
485C22⋊C8—262no—
486#97—262no—
487C4×C8—262no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494C2×C13—42no—
495C2×C13#228011yescharacteristic
496C2×C13#289711yescharacteristic
497C2×C13#289811yescharacteristic
498C2×C13#311911yescharacteristic
499C2×C13#312011yescharacteristic
500C2×C13#312411yescharacteristic
501C2×C13#312511yescharacteristic
502D13—44no—
503C24—261no—
504C24C2×C22⋊D1311yescharacteristic
505#41—268no—
506#41—268no—
507#41—268no—
508#41—268no—
509C2×Q8—132no—
510C2×Q8—132no—
511C2×Q8—132no—
512C2×Q8—261no—
513C2×Q8—261no—
514C2×Q8—261no—
515C2×D4—132no—
516C2×D4—132no—
517C2×D4—132no—
518C2×D4—264no—
519C2×D4—264no—
520C2×D4—264no—
521C2×D4—261no—
522C2×D4—261no—
523C2×D4—261no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—264no—
533C22×C4—264no—
534C22×C4—261no—
535C22×C4—264no—
536C22×C4—261no—
537C22×C4—261no—
538C22×C4—264no—
539C22×C4—264no—
540C22×C4—264no—
541C22×C4—1041no—
542C22×C4—1041no—
543C22×C4—1041no—
544C22×C4—1041no—
545C22×C4—1041no—
546C22×C4—1041no—
547C22×C4C2×C4×D1312yes—
548C22×C4C2×D5212yes—
549C22×C4C2×C22⋊D1311yescharacteristic
550C22×C4C2×C22⋊D1311yescharacteristic
551C22×C4C2×C22⋊D1311yescharacteristic
552C22×C4C2×C22⋊D1311yescharacteristic
553C22×C4C2×C22⋊D1311yescharacteristic
554C22×C4C23×D1311yescharacteristic
555C2×C8—261no—
556C2×C8—261no—
557C2×C8—261no—
558C2×C8—261no—
559C2×C8—261no—
560C2×C8—261no—
561C2×C8—261no—
562C2×C8—261no—
563C2×C8—261no—
564C2×C8—261no—
565C2×C8—261no—
566C2×C8—261no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—81no—
576C4⋊C4—81no—
577C4⋊C4—132no—
578C4⋊C4—132no—
579C4⋊C4—264no—
580C4⋊C4—264no—
581C4⋊C4—264no—
582C4⋊C4—261no—
583C4⋊C4—261no—
584C4⋊C4#610314yes—
585C4⋊C4#610314yes—
586C22⋊C4—81no—
587C22⋊C4—81no—
588C22⋊C4—264no—
589C22⋊C4—264no—
590C22⋊C4#610314yes—
591C22⋊C4#610314yes—
592C42—81no—
593C42—81no—
594C42—264no—
595C42—264no—
596C42C2×C4×D1312yes—
597C42C2×C4×D1312yes—
598C42C2×D5212yes—
599C42C2×D5212yes—
600C13#2074611yescharacteristic, complemented, Sylow
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—262no—
608C23—262no—
609C23—262no—
610C23—521no—
611C23—521no—
612C23—521no—
613C23—521no—
614C23C2×#610312yes—
615C23C22×C22⋊D1311yescharacteristic
616Q8—134no—
617Q8—262no—
618Q8—262no—
619Q8—262no—
620D4—134no—
621D4—2616no—
622D4—262no—
623D4—262no—
624D4—262no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—2616no—
652C2×C4—262no—
653C2×C4—262no—
654C2×C4—262no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—521no—
658C2×C4—521no—
659C2×C4—521no—
660C2×C4—521no—
661C2×C4—1044no—
662C2×C4—1044no—
663C2×C4—1044no—
664C2×C4C2×#610312yes—
665C2×C4C2×#610312yes—
666C2×C4C2×#610312yes—
667C2×C4C2×#610312yes—
668C2×C4C2×#610312yes—
669C2×C4C22×C4×D1311yescharacteristic
670C2×C4C22×D5211yescharacteristic
671C2×C4#41×D1311yescharacteristic
672C2×C4#41×D1311yescharacteristic
673C2×C4#41×D1311yescharacteristic
674C2×C4#41×D1311yescharacteristic
675C8—521no—
676C8—521no—
677C8—521no—
678C8—521no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—264no—
687C22—522no—
688C22—522no—
689C22—522no—
690C22—522no—
691C22—522no—
692C22—522no—
693C22C22×#610311yescharacteristic
694C22#1171953311yescharacteristic
695C22#1171953311yescharacteristic
696C22#1171954011yescharacteristic
697C22#1171954111yescharacteristic
698C22#1171954211yescharacteristic
699C22#1171954311yescharacteristic
700C4—22no—
701C4—22no—
702C4—22no—
703C4—22no—
704C4—22no—
705C4—81no—
706C4—81no—
707C4—81no—
708C4—81no—
709C4—264no—
710C4—522no—
711C4—522no—
712C4D13×#11711yescharacteristic
713C4D13×#11711yescharacteristic
714C4#1171922911yescharacteristic
715C4#1171922911yescharacteristic
716C2—42no—
717C2—524no—
718C2#1311721511yescharacteristic
719C2#1312335911yescharacteristic
720C2#1312336611yescharacteristic
721C2#1312502911yescharacteristic
722C2#1312504411yescharacteristic
723C2#1312509211yescharacteristic
724C2#1312510711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2314C2
socleC23×C13C22×D4
prime radicalC22×#6127C22
cosocleC22×C4×C13C24
hypercenter#2314D13
hypocenterC13#20746
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. C2×#11718661C2semidirect
3. #13114924C2semidirect
4. #13114920C2semidirect
5. #13114848C2semidirect
6. #13114843C2semidirect
7. #13114838C2semidirect
8. #13114833C2semidirect
11. #13114669C2semidirect
12. #13114664C2semidirect
13. C4×#88050C2semidirect
14. C4×#88049C2semidirect
15. C13×#2314C2semidirect
20. #11719228C4semidirect
241. #2314D13semidirect
600. C13#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#117192282
C2×#117186612
#131149242
#131149202
#131148482
#131148432
#131148382
#131148332
#131147742
#131146692
#131146642
C4×#880502
C4×#880492
C13×#23142
#2074613