Finite Group Databasebeta

← #15879329

Subgroups — #15879329

Order 3328.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719246C211yesmaximal, characteristic
2#13117765C211yesmaximal, characteristic
3#13115801C211yesmaximal, characteristic, complemented
4#13115791C211yesmaximal, characteristic, complemented
5#13115269C211yesmaximal, characteristic, complemented
6#13115269C211yesmaximal, characteristic, complemented
7#13115146C211yesmaximal, characteristic, complemented
8#13115141C211yesmaximal, characteristic, complemented
9#13114932C211yesmaximal, characteristic, complemented
10#13114927C211yesmaximal, characteristic, complemented
11#13114852C211yesmaximal, characteristic, complemented
12C4×#88056C211yesmaximal, characteristic, complemented
13#13114556C211yesmaximal, characteristic, complemented
14#13114556C211yesmaximal, characteristic, complemented
15C2×C13×#436C211yesmaximal, characteristic
16C22×C13×M16C2211yescharacteristic
17C22×C13×M16C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C2×#88189—21no—
20C2×#88180C2211yescharacteristic
21C2×#88180C2211yescharacteristic
22C22×C4⋊Dic13C2211yescharacteristic
23C22×C4⋊Dic13C2211yescharacteristic
24C2×#88178C2211yescharacteristic
25C2×#88178C2211yescharacteristic
26#11719246—24no—
27#11719246C418yescomplemented
28C2×#88143—21no—
29C2×#88133—21no—
30C2×#88131—21no—
31C2×#88124C2211yescharacteristic
32C2×C4×Dic26C2211yescharacteristic
33C13×#436—24no—
34C2×C13×C4⋊C8C2211yescharacteristic
35C2×C13×C22⋊C8C2211yescharacteristic
36C2×C13×C22⋊C8C2211yescharacteristic
37C2×C4×C8×C13C2211yescharacteristic
38#11718881—21no—
39#11718873C2211yescharacteristic
40#11718873C2211yescharacteristic
41C2×#88056C2211yescharacteristic
42C2×#88056C2211yescharacteristic
43C2×#88056C2211yescharacteristic
44C2×#88056C2211yescharacteristic
45#11718642—21no—
46#11718612—21no—
47C22⋊C4×Dic13—21no—
48#11718597C2211yescharacteristic
49C4×C4⋊Dic13C2211yescharacteristic
50#11718143C2211yescharacteristic
51#11718143C2211yescharacteristic
52#11718143C2211yescharacteristic
53#11718143C2211yescharacteristic
54#11718143C2211yescharacteristic
55#11718143C2211yescharacteristic
56#11718143C2211yescharacteristic
57#11718143C2211yescharacteristic
58#11718143C2211yescharacteristic
59#11718143C2211yescharacteristic
60#11718143C2211yescharacteristic
61#11718143C2211yescharacteristic
62C22×D4×C13D411yescharacteristic
63C23×C4×C13C2311yescharacteristic
64C23×C4×C13C2311yescharacteristic
65C23×Dic13—21no—
66C23×Dic13—21no—
67C22×Dic26C2311yescharacteristic
68C2×C13×M16—22no—
69C2×C13×M16—22no—
70C2×C13×M16—22no—
71C2×C13×M16—22no—
72C2×C13×M16—41no—
73C2×C13×M16—41no—
74C22×C8×C13C2311yescharacteristic
75C22×C8×C13C2311yescharacteristic
76C22×C8×C13C2311yescharacteristic
77C22×C8×C13C2311yescharacteristic
78C4×D4×C13C2×C414yes—
79C4×D4×C13D414yes—
80C2×C13×C4⋊C4D411yescharacteristic
81C2×C13×C22⋊C4D411yescharacteristic
82C2×C13×C22⋊C4D411yescharacteristic
83C2×C42×C13C2311yescharacteristic
84C2×C22⋊Dic13—21no—
85C2×C22⋊Dic13—21no—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88C2×C22⋊Dic13—21no—
89C2×C22⋊Dic13—21no—
90#88189—28no—
91#88180—22no—
92#88180—22no—
93#88180—41no—
94#88180C2×C414yes—
95C2×C4⋊Dic13—21no—
96C2×C4⋊Dic13—22no—
97C2×C4⋊Dic13—22no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13—41no—
100C2×C4⋊Dic13C2×C414yescomplemented
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×C4⋊Dic13C2311yescharacteristic
104C2×C4⋊Dic13C2311yescharacteristic
105C2×C4⋊Dic13C2311yescharacteristic
106C2×C4⋊Dic13C2311yescharacteristic
107C2×C4⋊Dic13C2311yescharacteristic
108#88178—22no—
109#88178—22no—
110#88178C2×C414yes—
111#88178C2×C414yescomplemented
112C2×#6101—21no—
113C2×#6101—21no—
114C2×#6101—21no—
115C2×#6101—21no—
116C2×#6101—21no—
117C2×C4×Dic13—21no—
118C2×C4×Dic13—21no—
119C2×C4×Dic13—21no—
120C2×C4×Dic13—21no—
121#88143—28no—
122#88133—28no—
123#88131—28no—
124#88124—22no—
125#88124C2×C414yescomplemented
126C4×Dic26—22no—
127C4×Dic26C2×C414yescomplemented
128C13×C4⋊C8—22no—
129C13×C22⋊C8—22no—
130C13×C22⋊C8—22no—
131C4×C8×C13—22no—
132#88071—21no—
133#88071—21no—
134#88071—21no—
135#88071—21no—
136#88071—21no—
137#88056—22no—
138#88056—22no—
139#88056—41no—
140#88056—41no—
141#22499—131nomaximal, Sylow
142C24×C13C2×D411yescharacteristic
143C24×C13C2×D411yescharacteristic
144C2×D4×C13—41no—
145C2×D4×C13—41no—
146C2×D4×C13C22⋊C414yes—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—21no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13C22×C412yes—
156C22×C4×C13C22×C412yes—
157C22×C4×C13C2×D411yescharacteristic
158C22×C4×C13C2×D411yescharacteristic
159C22×C4×C13C2×D411yescharacteristic
160C22×C4×C13C2×D411yescharacteristic
161C22×C4×C13C2×D412yes—
162C22×C4×C13C2×D412yes—
163C22×C4×C13C2411yescharacteristic
164C22×Dic13—24no—
165C22×Dic13—21no—
166C22×Dic13—21no—
167C22×Dic13—21no—
168C22×Dic13—21no—
169C22×Dic13—21no—
170C22×Dic13—21no—
171C22×Dic13—21no—
172C22×Dic13—21no—
173C22×Dic13—42no—
174C22×Dic13—42no—
175C22×Dic13—42no—
176C22×Dic13—42no—
177C22×Dic13—81no—
178C2×Dic26—21no—
179C2×Dic26—21no—
180C2×Dic26—21no—
181C2×Dic26—21no—
182C2×Dic26—21no—
183C2×Dic26C22×C412yes—
184C13×M16—44no—
185C13×M16—44no—
186C2×C8×C13—21no—
187C2×C8×C13—21no—
188C2×C8×C13—21no—
189C2×C8×C13—21no—
190C2×C8×C13—21no—
191C2×C8×C13—21no—
192C2×C8×C13—21no—
193C2×C8×C13—21no—
194C2×C8×C13—21no—
195C2×C8×C13—21no—
196C2×C8×C13—21no—
197C2×C8×C13#4112yes—
198C13×C4⋊C4C22⋊C414yes—
199C13×C22⋊C4C22⋊C414yes—
200C13×C22⋊C4C22⋊C414yes—
201C42×C13C22×C412yes—
202C42×C13C2×D412yes—
203C22⋊Dic13—24no—
204C22⋊Dic13—24no—
205C22⋊Dic13—24no—
206C22⋊Dic13—42no—
207C22⋊Dic13—42no—
208C22⋊Dic13—81no—
209C4⋊Dic13—24no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13—42no—
221C4⋊Dic13C22×C412yes—
222C4⋊Dic13C22×C412yes—
223C4⋊Dic13C22×C412yes—
224C4⋊Dic13#4112yes—
225#6101—24no—
226#6101—24no—
227#6101—24no—
228#6101—24no—
229#6101—24no—
230C4×Dic13—24no—
231C4×Dic13—24no—
232C4×Dic13—42no—
233C4×Dic13—81no—
234C2×#552—131no—
235C2×#436D1311yescharacteristic
236#2352—131no—
237#1991—131no—
238#1989—131no—
239#1894—131no—
240#1894—131no—
241#1873—131no—
242#1872—131no—
243#1825—131no—
244#1824—131no—
245#1805—131no—
246C4×#103—131no—
247#1736—131no—
248#1736—131no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13—21no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13C2×C22⋊C412yes—
262C23×C13C2×C22⋊C412yes—
263C23×C13C22×D411yescharacteristic
264D4×C13—44no—
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—22no—
274C2×C4×C13—22no—
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×C13C2×C22⋊C412yes—
282C2×C4×C13C2×C22⋊C412yes—
283C2×C4×C13C2×C22⋊C412yes—
284C2×C4×C13C2×C22⋊C412yes—
285C2×C4×C13C23×C411yescharacteristic
286C2×C4×C13C22×D411yescharacteristic
287C2×C4×C13C2×#4111yescharacteristic
288C2×C4×C13C2×#4111yescharacteristic
289C2×C4×C13H(5,𝔽2)11yescharacteristic
290C2×C4×C132−1+411yescharacteristic
291C2×Dic13—22no—
292C2×Dic13—22no—
293C2×Dic13—22no—
294C2×Dic13—22no—
295C2×Dic13—22no—
296C2×Dic13—48no—
297C2×Dic13—41no—
298C2×Dic13—41no—
299C2×Dic13—41no—
300C2×Dic13—41no—
301C2×Dic13—41no—
302C2×Dic13—41no—
303C2×Dic13—41no—
304C2×Dic13—41no—
305C2×Dic13—41no—
306C2×Dic13—41no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—84no—
317Dic26—22no—
318Dic26—22no—
319Dic26—41no—
320Dic26—41no—
321C8×C13—22no—
322C8×C13—41no—
323C8×C13—41no—
324C8×C13—41no—
325C22×M16C2×D1311yescharacteristic
326C22×M16C2×D1311yescharacteristic
327#552—138no—
328#552—264no—
329C2×#126—261no—
330C2×#125—131no—
331C2×#125—261no—
332C2×#123—261no—
333C2×C22⋊Q8—131no—
334C2×C22⋊Q8—131no—
335C2×C4×Q8—131no—
336C2×C4×D4C2×D1311yescharacteristic
337C2×#117—131no—
338C2×#117—131no—
339C2×#117—261no—
340C22×C4⋊C4—131no—
341C22×C4⋊C4—131no—
342#436—24no—
343C2×C4⋊C8C2×D1311yescharacteristic
344C2×#103—131no—
345C2×#103—131no—
346C2×#103—131no—
347C2×#103—131no—
348C2×C22⋊C8C2×D1311yescharacteristic
349C2×C22⋊C8C2×D1311yescharacteristic
350C2×C4×C8C2×D1311yescharacteristic
351#388—261no—
352#387—261no—
353#386—261no—
354#382—131no—
355#380—131no—
356#380—131no—
357C4×C4⋊C4—131no—
358C4×C22⋊C4—261no—
359#340—131no—
360#340—131no—
361#340—131no—
362#340—131no—
363#340—131no—
364#340—131no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369#340—131no—
370#340—131no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—22no—
375C22×C13—22no—
376C22×C13—22no—
377C22×C13—41no—
378C22×C13—41no—
379C22×C13—41no—
380C22×C13—41no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—41no—
384C22×C13—41no—
385C22×C13C22×C22⋊C411yescharacteristic
386C22×C13#54611yescharacteristic
387C22×C13#54711yescharacteristic
388C22×C13#57511yescharacteristic
389C22×C13#57511yescharacteristic
390C22×C13#57711yescharacteristic
391C22×C13#57811yescharacteristic
392C4×C13—22no—
393C4×C13—22no—
394C4×C13—22no—
395C4×C13—22no—
396C4×C13C4×#4111yescharacteristic
397C4×C13#52011yescharacteristic
398C4×C13#54611yescharacteristic
399C4×C13#54711yescharacteristic
400Dic13—42no—
401Dic13—42no—
402Dic13—42no—
403Dic13—42no—
404Dic13—42no—
405Dic13—81no—
406Dic13—81no—
407Dic13—81no—
408C22×Q8—131no—
409C22×D4D5211yescharacteristic
410C23×C4—261no—
411C23×C4—261no—
412C23×C4C22×D1311yescharacteristic
413C23×C4C22×D1311yescharacteristic
414C2×M16—22no—
415C2×M16—22no—
416C2×M16—22no—
417C2×M16—22no—
418C2×M16—41no—
419C2×M16—41no—
420C22×C8C22×D1311yescharacteristic
421C22×C8C22×D1311yescharacteristic
422C22×C8C22×D1311yescharacteristic
423C22×C8C22×D1311yescharacteristic
424#126—268no—
425#125—134no—
426#125—268no—
427#125—262no—
428#123—268no—
429C22⋊Q8—134no—
430C22⋊Q8—134no—
431C22⋊Q8—262no—
432C22⋊Q8—262no—
433C4×Q8—134no—
434C4×Q8—262no—
435C4×D4C4×D1314yes—
436C4×D4C22⋊D1314yes—
437#117—134no—
438#117—262no—
439#117—268no—
440#117—262no—
441#117—521no—
442C2×C4⋊C4—134no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—131no—
447C2×C4⋊C4—131no—
448C2×C4⋊C4—131no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—262no—
451C2×C4⋊C4—261no—
452C2×C4⋊C4—261no—
453C2×C4⋊C4—261no—
454C2×C4⋊C4—261no—
455C2×C4⋊C4—261no—
456C2×C4⋊C4—261no—
457C2×C4⋊C4—262no—
458C2×C4⋊C4—261no—
459C2×C4⋊C4—521no—
460C2×C4⋊C4D5211yescharacteristic
461C2×C22⋊C4—261no—
462C2×C22⋊C4—261no—
463C2×C22⋊C4—261no—
464C2×C22⋊C4—261no—
465C2×C22⋊C4—261no—
466C2×C22⋊C4—261no—
467C2×C22⋊C4D5211yescharacteristic
468C2×C22⋊C4D5211yescharacteristic
469C2×C42—261no—
470C2×C42—261no—
471C2×C42—261no—
472C2×C42—261no—
473C2×C42C22×D1311yescharacteristic
474C4⋊C8—22no—
475#103—262no—
476#103—262no—
477#103—521no—
478#103—521no—
479C22⋊C8—22no—
480C22⋊C8—22no—
481C4×C8—22no—
482#95—261no—
483#95—261no—
484#95—261no—
485#95—261no—
486#95—261no—
487C2×C13—42no—
488C2×C13—42no—
489C2×C13#233911yescharacteristic
490C2×C13#289611yescharacteristic
491C2×C13#289811yescharacteristic
492C2×C13#332311yescharacteristic
493C2×C13#332711yescharacteristic
494C2×C13#335111yescharacteristic
495C2×C13#335211yescharacteristic
496C24C2×D5211yescharacteristic
497C24C2×D5211yescharacteristic
498C2×Q8—132no—
499C2×Q8—261no—
500C2×Q8—261no—
501C2×Q8—261no—
502C2×Q8—261no—
503C2×Q8—261no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4#610314yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—264no—
516C22×C4—261no—
517C22×C4—261no—
518C22×C4—261no—
519C22×C4—261no—
520C22×C4—261no—
521C22×C4—261no—
522C22×C4—261no—
523C22×C4—261no—
524C22×C4—522no—
525C22×C4—522no—
526C22×C4—522no—
527C22×C4—522no—
528C22×C4—1041no—
529C22×C4C2×C4×D1312yes—
530C22×C4C2×C4×D1312yes—
531C22×C4C2×D5211yescharacteristic
532C22×C4C2×D5211yescharacteristic
533C22×C4C2×D5211yescharacteristic
534C22×C4C2×D5211yescharacteristic
535C22×C4C2×C22⋊D1312yes—
536C22×C4C2×C22⋊D1312yes—
537C22×C4C23×D1311yescharacteristic
538M16—44no—
539M16—44no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8#612912yes—
552C4⋊C4—132no—
553C4⋊C4—132no—
554C4⋊C4—132no—
555C4⋊C4—132no—
556C4⋊C4—264no—
557C4⋊C4—264no—
558C4⋊C4—264no—
559C4⋊C4—264no—
560C4⋊C4—264no—
561C4⋊C4—264no—
562C4⋊C4—261no—
563C4⋊C4—261no—
564C4⋊C4—261no—
565C4⋊C4—261no—
566C4⋊C4—261no—
567C4⋊C4—261no—
568C4⋊C4—261no—
569C4⋊C4—261no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—522no—
573C4⋊C4#610314yes—
574C22⋊C4—264no—
575C22⋊C4—264no—
576C22⋊C4—264no—
577C22⋊C4—522no—
578C22⋊C4—522no—
579C22⋊C4—1041no—
580C22⋊C4#610314yes—
581C22⋊C4#610314yes—
582C42—264no—
583C42—264no—
584C42—522no—
585C42—1041no—
586C42C2×C4×D1312yes—
587C42C2×C22⋊D1312yes—
588C13#2249911yescharacteristic, complemented, Sylow
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23C2×#610312yes—
602C23C2×#610312yes—
603C23C22×D5211yescharacteristic
604Q8—262no—
605Q8—262no—
606Q8—521no—
607Q8—521no—
608D4—44no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—262no—
626C2×C4—262no—
627C2×C4—262no—
628C2×C4—262no—
629C2×C4—262no—
630C2×C4—528no—
631C2×C4—521no—
632C2×C4—521no—
633C2×C4—521no—
634C2×C4—521no—
635C2×C4—521no—
636C2×C4—521no—
637C2×C4—521no—
638C2×C4—521no—
639C2×C4—521no—
640C2×C4—521no—
641C2×C4—521no—
642C2×C4—521no—
643C2×C4—521no—
644C2×C4—521no—
645C2×C4—521no—
646C2×C4—521no—
647C2×C4—521no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—1044no—
651C2×C4C2×#610312yes—
652C2×C4C2×#610312yes—
653C2×C4C2×#610312yes—
654C2×C4C2×#610312yes—
655C2×C4C22×C4×D1311yescharacteristic
656C2×C4C2×#612911yescharacteristic
657C2×C4#8825111yescharacteristic
658C2×C4#41×D1311yescharacteristic
659C2×C4#8825711yescharacteristic
660C2×C4C22×C22⋊D1311yescharacteristic
661C8—22no—
662C8—41no—
663C8—41no—
664C8—41no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22#1171925911yescharacteristic
680C22#1171926011yescharacteristic
681C22#1171945311yescharacteristic
682C22#1171945311yescharacteristic
683C22#1171945611yescharacteristic
684C22#1171945811yescharacteristic
685C22C22×#610311yescharacteristic
686C4—22no—
687C4—22no—
688C4—22no—
689C4—22no—
690C4—522no—
691C4—522no—
692C4—522no—
693C4—522no—
694C4—522no—
695C4—1041no—
696C4—1041no—
697C4—1041no—
698C4C4×#612911yescharacteristic
699C4#1171925111yescharacteristic
700C4#1171951111yescharacteristic
701C4#1171952911yescharacteristic
702C2—42no—
703C2—42no—
704C2#1311766111yescharacteristic
705C2#1312335611yescharacteristic
706C2#1312337011yescharacteristic
707C2#1312705411yescharacteristic
708C2#1312710611yescharacteristic
709C2#1312739811yescharacteristic
710C2#1312741011yescharacteristic
subgroupG/H
centerC23C22×D52
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#436C2
socleC23×C13C22×D4
prime radicalC22×D4×C13D4
cosocleC22×C4×C13C24
hypercenterC2×#436D13
hypocenterC13#22499
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#436

Complements

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

NH ≅ G/Ntype
3. #13115801C2semidirect
4. #13115791C2semidirect
5. #13115269C2semidirect
6. #13115269C2semidirect
7. #13115146C2semidirect
8. #13115141C2semidirect
9. #13114932C2semidirect
10. #13114927C2semidirect
11. #13114852C2semidirect
12. C4×#88056C2semidirect
13. #13114556C2semidirect
14. #13114556C2semidirect
27. #11719246C4semidirect
100. C2×C4⋊Dic13C2×C4semidirect
111. #88178C2×C4semidirect
125. #88124C2×C4semidirect
127. C4×Dic26C2×C4semidirect
588. C13#22499semidirect

Maximal subgroups

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

subgroupindex
C2×#117192462
#131177652
#131158012
#131157912
#131152692
#131151462
#131151412
#131149322
#131149272
#131148522
C4×#880562
#131145562
C2×C13×#4362
#2249913