Finite Group Databasebeta

← #15883277

Subgroups — #15883277

Order 3328.

1090 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718900C211yesmaximal, characteristic
2C2×#11718691C211yesmaximal, characteristic, complemented
3C2×#11718894C211yesmaximal, characteristic
4#13117861C211yesmaximal, characteristic, complemented
5#13115716C211yesmaximal, characteristic, complemented
6#13115536C211yesmaximal, characteristic, complemented
7#13115460C211yesmaximal, characteristic, complemented
8#13115257C211yesmaximal, characteristic, complemented
9#13115194C211yesmaximal, characteristic, complemented
10#13115177C211yesmaximal, characteristic, complemented
11#13115090C211yesmaximal, characteristic, complemented
12#13115033C211yesmaximal, characteristic, complemented
13#13114666C211yesmaximal, characteristic, complemented
14#13114614C211yesmaximal, characteristic, complemented
15C13×#2341C211yesmaximal, characteristic
16C22×C13×#41C2211yescharacteristic
17C2×C4×Q8×C13C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C22×#6107C2211yescharacteristic
20C22×#6105C2211yescharacteristic
21C2×#88180C2211yescharacteristic
22C2×#88178C2211yescharacteristic
23C23×#1055C2211yescharacteristic
24C2×C4×Dic26C2211yescharacteristic
25C13×#390—21no—
26C13×#390—21no—
27C13×#390C2211yescharacteristic
28C13×#390C2211yescharacteristic
29C13×#380—21no—
30C13×#380C2211yescharacteristic
31C4×C13×C22⋊C4—21no—
32C4×C13×C22⋊C4C2211yescharacteristic
33#11718900C418yescomplemented
34#11718894—24no—
35C2×#88075C2211yescharacteristic
36C2×#88075C2211yescharacteristic
37C2×#88075C2211yescharacteristic
38C2×#88072C2211yescharacteristic
39C2×#88072C2211yescharacteristic
40C2×#88072C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42#11718691—24no—
43C2×#88050C2211yescharacteristic
44C2×#88050C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47#11718606—21no—
48#11718605—21no—
49C4×C4⋊Dic13C2211yescharacteristic
50#11718590C2211yescharacteristic
51#11718589C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×#88043C2211yescharacteristic
54#11718313—21no—
55#11718310—21no—
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718116C2211yescharacteristic
61#11718116C2211yescharacteristic
62C2×C13×#41—22no—
63C2×C13×#41—22no—
64C2×C13×#41—22no—
65C2×C13×#41—41no—
66C2×C13×#41—41no—
67C2×C13×#41C2×C414yes—
68C22×Q8×C13C2311yescharacteristic
69C22×D4×C13—21no—
70C22×D4×C13C2311yescharacteristic
71C23×C4×C13—21no—
72C23×C4×C13C2311yescharacteristic
73C22×Dic26C2311yescharacteristic
74C4×Q8×C13—22no—
75C4×Q8×C13—22no—
76C4×Q8×C13—41no—
77C4×Q8×C13—41no—
78C2×C13×C4⋊C4—21no—
79C2×C13×C4⋊C4—21no—
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C22⋊C4—21no—
83C2×C13×C22⋊C4—21no—
84C2×C13×C22⋊C4—21no—
85C2×C13×C22⋊C4—21no—
86C2×C13×C22⋊C4—21no—
87C2×C13×C22⋊C4D411yescharacteristic
88C2×C13×C22⋊C4D411yescharacteristic
89C2×C42×C13—21no—
90C2×C42×C13—21no—
91C2×C42×C13C2311yescharacteristic
92C2×C42×C13C2311yescharacteristic
93C2×C22⋊Dic13—21no—
94C2×C22⋊Dic13—21no—
95C2×#6107—22no—
96C2×#6107—22no—
97C2×#6107C2×C414yes—
98C2×#6105—41no—
99C2×#6105—41no—
100C2×#6105C2×C414yes—
101#88180—22no—
102#88180—41no—
103C2×C4⋊Dic13C2311yescharacteristic
104C2×C4⋊Dic13C2311yescharacteristic
105C2×C4⋊Dic13C2311yescharacteristic
106#88178—22no—
107#88178C2×C414yes—
108C2×#6101—21no—
109C2×#6101—21no—
110C2×#6101—21no—
111C2×C4×Dic13—21no—
112C2×C4×Dic13—21no—
113C2×C4×Dic13—21no—
114C22×#1055—22no—
115C22×#1055—22no—
116C22×#1055—41no—
117C22×#1055C2311yescharacteristic
118C22×#1055C2311yescharacteristic
119C22×#1055C2311yescharacteristic
120C22×#1055C2311yescharacteristic
121C4×Dic26—22no—
122C4×Dic26—41no—
123C13×#95—21no—
124C13×#95D411yescharacteristic
125C13×#95D411yescharacteristic
126#88075—22no—
127#88075C2×C414yes—
128#88075D414yes—
129#88072—22no—
130#88072—22no—
131#88072C2×C414yes—
132#88071—21no—
133#88071—21no—
134#88071—21no—
135#88071—21no—
136C22⋊#1055C2×C414yes—
137#88050—22no—
138#88050—41no—
139#88048—22no—
140#88047—41no—
141#88043—22no—
142#88043—41no—
143#22861—131nomaximal, Sylow
144C24×C13—21no—
145C24×C13C2×D411yescharacteristic
146C13×#41—28no—
147C13×#41—44no—
148C13×#41—44no—
149C13×#41—44no—
150C2×Q8×C13—21no—
151C2×Q8×C13—21no—
152C2×Q8×C13—21no—
153C2×Q8×C13C22×C412yes—
154C2×Q8×C13C2×D412yes—
155C2×Q8×C13#4112yes—
156C2×D4×C13—24no—
157C2×D4×C13—21no—
158C2×D4×C13—21no—
159C2×D4×C13—21no—
160C2×D4×C13—21no—
161C2×D4×C13—21no—
162C2×D4×C13—42no—
163C2×D4×C13—42no—
164C2×D4×C13C22×C412yes—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—21no—
170C22×C4×C13—24no—
171C22×C4×C13—21no—
172C22×C4×C13—21no—
173C22×C4×C13—42no—
174C22×C4×C13—42no—
175C22×C4×C13C22×C412yes—
176C22×C4×C13C2×D411yescharacteristic
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D411yescharacteristic
179C22×C4×C13C2×D411yescharacteristic
180C22×C4×C13C2×D411yescharacteristic
181C22×C4×C13#4112yes—
182C22×C4×C13C2411yescharacteristic
183C22×Dic13—21no—
184C22×Dic13—21no—
185C22×Dic13—21no—
186C22×Dic13—21no—
187C2×Dic26—21no—
188C2×Dic26—21no—
189C2×Dic26—21no—
190C2×Dic26—21no—
191C2×Dic26—21no—
192C2×Dic26C22×C412yes—
193C13×C4⋊C4—21no—
194C13×C4⋊C4—21no—
195C13×C4⋊C4—21no—
196C13×C4⋊C4—21no—
197C13×C4⋊C4—42no—
198C13×C4⋊C4—42no—
199C13×C22⋊C4—41no—
200C13×C22⋊C4—41no—
201C13×C22⋊C4—42no—
202C13×C22⋊C4—42no—
203C13×C22⋊C4—81no—
204C13×C22⋊C4—81no—
205C13×C22⋊C4—81no—
206C42×C13—21no—
207C42×C13—21no—
208C42×C13—21no—
209C42×C13—21no—
210C42×C13—42no—
211C42×C13—42no—
212C22⋊Dic13—24no—
213C22⋊Dic13—42no—
214#6107—28no—
215#6105—44no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13C22×C412yes—
221C4⋊Dic13C2×D412yes—
222#6101—24no—
223#6101—42no—
224#6101—42no—
225C4×Dic13—42no—
226C4×Dic13—42no—
227C4×Dic13—42no—
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—44no—
238C2×#1055C22×C412yes—
239C2×#1055C22×C412yes—
240C2×#1055C2×D412yes—
241C2×#452—131no—
242C2×#441—131no—
243C2×#416—131no—
244#2362—131no—
245#2341D1311yescharacteristic
246#1973—131no—
247#1936—131no—
248#1926—131no—
249#1892—131no—
250#1880—131no—
251#1878—131no—
252#1863—131no—
253#1854—131no—
254#1763—131no—
255#1752—131no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13—21no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13—21no—
262C23×C13—22no—
263C23×C13—41no—
264C23×C13—41no—
265C23×C13—41no—
266C23×C13—41no—
267C23×C13—41no—
268C23×C13—41no—
269C23×C13C4×D412yes—
270C23×C13C22×D411yescharacteristic
271Q8×C13—22no—
272Q8×C13—22no—
273Q8×C13—22no—
274Q8×C13C4×D414yes—
275D4×C13—22no—
276D4×C13—22no—
277D4×C13—48no—
278D4×C13—41no—
279D4×C13—41no—
280C2×C4×C13—22no—
281C2×C4×C13—21no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—21no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—21no—
290C2×C4×C13—21no—
291C2×C4×C13—21no—
292C2×C4×C13—21no—
293C2×C4×C13—21no—
294C2×C4×C13—21no—
295C2×C4×C13—21no—
296C2×C4×C13—21no—
297C2×C4×C13—21no—
298C2×C4×C13—21no—
299C2×C4×C13—21no—
300C2×C4×C13—21no—
301C2×C4×C13—48no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13—41no—
305C2×C4×C13—41no—
306C2×C4×C13—41no—
307C2×C4×C13—41no—
308C2×C4×C13C4×D412yes—
309C2×C4×C13C23×C411yescharacteristic
310C2×C4×C13C22×D411yescharacteristic
311C2×C4×C13C2×#4111yescharacteristic
312C2×C4×C13C2×#4111yescharacteristic
313C2×C4×C13H(5,𝔽2)11yescharacteristic
314C2×C4×C13H(5,𝔽2)11yescharacteristic
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—41no—
326C2×Dic13—41no—
327Dic26—22no—
328Dic26—22no—
329Dic26—41no—
330Dic26—41no—
331#1055—22no—
332#1055—22no—
333#1055—22no—
334#1055—41no—
335C22×#41C2×D1311yescharacteristic
336C22×Q16—131no—
337C22×SD16—131no—
338C23×C8—131no—
339C2×C22⋊Q8—131no—
340C2×C4×Q8—131no—
341C2×C4×Q8C2×D1311yescharacteristic
342C2×C4×Q8C2×D1311yescharacteristic
343C2×#117—131no—
344#452—138no—
345#441—264no—
346C2×#107—131no—
347C2×#106—131no—
348#416—264no—
349C2×#103—131no—
350C2×#103—131no—
351C2×#103—131no—
352C2×#103—131no—
353C2×#103—131no—
354C2×#102—131no—
355C2×#102—131no—
356C2×#102—131no—
357C2×C22⋊C8—131no—
358C2×#97—131no—
359C2×#97—131no—
360#391—131no—
361#390—21no—
362#390—21no—
363#390C2×D1311yescharacteristic
364#390C2×D1311yescharacteristic
365#389—131no—
366#388—261no—
367#388—261no—
368#387—261no—
369#380—21no—
370#380C2×D1311yescharacteristic
371C4×C4⋊C4—131no—
372C4×C4⋊C4—261no—
373C4×C22⋊C4—21no—
374C4×C22⋊C4C2×D1311yescharacteristic
375#340—131no—
376#340—131no—
377#340—131no—
378#340—131no—
379#336—131no—
380#336—131no—
381C22×C13—22no—
382C22×C13—22no—
383C22×C13—22no—
384C22×C13—41no—
385C22×C13—41no—
386C22×C13—41no—
387C22×C13—41no—
388C22×C13—42no—
389C22×C13—42no—
390C22×C13—42no—
391C22×C13—81no—
392C22×C13—81no—
393C22×C13—81no—
394C22×C13—81no—
395C22×C13C2×C4×D411yescharacteristic
396C22×C13D4211yescharacteristic
397C22×C13#54611yescharacteristic
398C22×C13#57511yescharacteristic
399C22×C13#57511yescharacteristic
400C22×C13#57711yescharacteristic
401C22×C13#57811yescharacteristic
402C4×C13—22no—
403C4×C13—24no—
404C4×C13—41no—
405C4×C13—41no—
406C4×C13—41no—
407C4×C13—41no—
408C4×C13—81no—
409C4×C13—81no—
410C4×C13C2×C4×D411yescharacteristic
411C4×C13#51811yescharacteristic
412C4×C13#54611yescharacteristic
413C4×C13#55111yescharacteristic
414Dic13—42no—
415Dic13—42no—
416Dic13—42no—
417Dic13—81no—
418C2×#41—22no—
419C2×#41—22no—
420C2×#41—22no—
421C2×#41—41no—
422C2×#41—41no—
423C2×#41C4×D1314yes—
424C22×Q8—131no—
425C22×Q8C22×D1311yescharacteristic
426C22×D4—21no—
427C22×D4C22×D1311yescharacteristic
428C23×C4—21no—
429C23×C4C22×D1311yescharacteristic
430C2×Q16—134no—
431C2×Q16—262no—
432C2×Q16—262no—
433C2×SD16—134no—
434C2×SD16—521no—
435C2×SD16—521no—
436C22×C8—131no—
437C22×C8—131no—
438C22×C8—131no—
439C22×C8—131no—
440C22×C8—262no—
441C22×C8—262no—
442C22×C8—521no—
443C22⋊Q8—134no—
444C22⋊Q8—262no—
445C4×Q8—22no—
446C4×Q8—22no—
447C4×Q8—41no—
448C4×Q8—41no—
449C4×Q8—262no—
450C4×Q8—521no—
451#117—262no—
452#117—521no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—131no—
456C2×C4⋊C4—131no—
457C2×C4⋊C4—131no—
458C2×C4⋊C4—261no—
459C2×C4⋊C4—261no—
460C2×C4⋊C4—261no—
461C2×C4⋊C4C22×D1311yescharacteristic
462C2×C4⋊C4C22×D1311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—261no—
469C2×C22⋊C4—261no—
470C2×C22⋊C4C22⋊D1311yescharacteristic
471C2×C22⋊C4C22⋊D1311yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42—261no—
475C2×C42—261no—
476C2×C42—261no—
477C2×C42C22×D1311yescharacteristic
478C2×C42C22×D1311yescharacteristic
479#107—521no—
480#106—262no—
481#103—134no—
482#103—134no—
483#103—262no—
484#103—262no—
485#103—521no—
486#102—134no—
487#102—262no—
488#102—262no—
489C22⋊C8—134no—
490#97—262no—
491#97—521no—
492#95—21no—
493#95—261no—
494#95—261no—
495#95—261no—
496#95—261no—
497#95C22⋊D1311yescharacteristic
498#95C22⋊D1311yescharacteristic
499C2×C13—42no—
500C2×C13—82no—
501C2×C13#235811yescharacteristic
502C2×C13#294311yescharacteristic
503C2×C13#294711yescharacteristic
504C2×C13#326911yescharacteristic
505C2×C13#327111yescharacteristic
506C2×C13#331311yescharacteristic
507C2×C13#331711yescharacteristic
508C24—21no—
509C24C2×C22⋊D1311yescharacteristic
510#41—28no—
511#41—44no—
512#41—44no—
513#41—44no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—132no—
518C2×Q8—261no—
519C2×Q8—261no—
520C2×Q8—261no—
521C2×Q8—261no—
522C2×Q8—261no—
523C2×Q8C2×C4×D1312yes—
524C2×Q8D4×D1312yes—
525C2×Q8#612912yes—
526C2×D4—24no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4C2×C4×D1312yes—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—24no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—261no—
546C22×C4—261no—
547C22×C4—261no—
548C22×C4—261no—
549C22×C4C2×C4×D1312yes—
550C22×C4#612712yes—
551C22×C4C2×C22⋊D1311yescharacteristic
552C22×C4C2×C22⋊D1311yescharacteristic
553C22×C4C2×C22⋊D1311yescharacteristic
554C22×C4C2×C22⋊D1311yescharacteristic
555C22×C4C2×C22⋊D1311yescharacteristic
556C22×C4C23×D1311yescharacteristic
557Q16—268no—
558SD16—524no—
559C2×C8—132no—
560C2×C8—132no—
561C2×C8—132no—
562C2×C8—261no—
563C2×C8—261no—
564C2×C8—261no—
565C2×C8—261no—
566C2×C8—261no—
567C2×C8—261no—
568C2×C8—261no—
569C2×C8—261no—
570C2×C8—261no—
571C2×C8—524no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—132no—
579C4⋊C4—132no—
580C4⋊C4—264no—
581C4⋊C4—261no—
582C4⋊C4—261no—
583C4⋊C4—261no—
584C4⋊C4—261no—
585C4⋊C4—522no—
586C4⋊C4—522no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—81no—
592C22⋊C4—81no—
593C22⋊C4—81no—
594C22⋊C4—264no—
595C22⋊C4—522no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—42no—
601C42—42no—
602C42—522no—
603C42—522no—
604C42—522no—
605C13#2286111yescharacteristic, complemented, Sylow
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23C4×C22⋊D1312yes—
620C23C22×C22⋊D1311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—262no—
625Q8—262no—
626Q8—521no—
627Q8—521no—
628Q8#8813514yes—
629D4—22no—
630D4—22no—
631D4—48no—
632D4—41no—
633D4—41no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—48no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—521no—
666C2×C4—521no—
667C2×C4—521no—
668C2×C4—521no—
669C2×C4—521no—
670C2×C4—521no—
671C2×C4—521no—
672C2×C4—521no—
673C2×C4—521no—
674C2×C4C4×C22⋊D1312yes—
675C2×C4C22×C4×D1311yescharacteristic
676C2×C4C2×#612711yescharacteristic
677C2×C4C2×D4×D1311yescharacteristic
678C2×C4C2×#612911yescharacteristic
679C2×C4#8825111yescharacteristic
680C2×C4#8825111yescharacteristic
681C8—262no—
682C8—262no—
683C8—262no—
684C8—521no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22C2×C4×C22⋊D1311yescharacteristic
700C22D4×C22⋊D1311yescharacteristic
701C22#1171951111yescharacteristic
702C22#1171952711yescharacteristic
703C22#1171952711yescharacteristic
704C22#1171954111yescharacteristic
705C22#1171954311yescharacteristic
706C4—22no—
707C4—24no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4—81no—
714C4—522no—
715C4—522no—
716C4—522no—
717C4—1041no—
718C4C2×#8813511yescharacteristic
719C4#1171919111yescharacteristic
720C4#1171919511yescharacteristic
721C4#1171920011yescharacteristic
722C2—42no—
723C2—82no—
724C2#1311781511yescharacteristic
725C2#1312363411yescharacteristic
726C2#1312367511yescharacteristic
727C2#1312639211yescharacteristic
728C2#1312641711yescharacteristic
729C2#1312690211yescharacteristic
730C2#1312696211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2341C2
socleC23×C13C22×D4
prime radicalC22×C13×#41C22
cosocleC22×C4×C13C24
hypercenter#2341D13
hypocenterC13#22861
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×#11718691C2semidirect
4. #13117861C2semidirect
5. #13115716C2semidirect
6. #13115536C2semidirect
7. #13115460C2semidirect
8. #13115257C2semidirect
9. #13115194C2semidirect
10. #13115177C2semidirect
11. #13115090C2semidirect
12. #13115033C2semidirect
13. #13114666C2semidirect
14. #13114614C2semidirect
33. #11718900C4semidirect
605. C13#22861semidirect

Maximal subgroups

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

subgroupindex
C2×#117189002
C2×#117186912
C2×#117188942
#131178612
#131157162
#131155362
#131154602
#131152572
#131151942
#131151772
#131150902
#131150332
#131146662
#131146142
C13×#23412
#2286113