Finite Group Databasebeta

← #15874148

Subgroups — #15874148

Order 3328.

1000 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×#11718900C211yesmaximal, characteristic
2C4×#88178C211yesmaximal, characteristic, complemented
3#13115716C211yesmaximal, characteristic, complemented
4#13115706C211yesmaximal, characteristic, complemented
5#13115536C211yesmaximal, characteristic, complemented
6#13115529C211yesmaximal, characteristic, complemented
7#13115474C211yesmaximal, characteristic, complemented
8#13115460C211yesmaximal, characteristic, complemented
9#13115194C211yesmaximal, characteristic, complemented
10#13115180C211yesmaximal, characteristic, complemented
11#13115148C211yesmaximal, characteristic, complemented
12#13115035C211yesmaximal, characteristic, complemented
13#13114776C211yesmaximal, characteristic
14#13114598C211yesmaximal, characteristic, complemented
15C13×#2297C211yesmaximal, characteristic
16C22×C13×#41C2211yescharacteristic
17C2×C13×#117C2211yescharacteristic
18C22×C42×C13C2211yescharacteristic
19C22×#6107C2211yescharacteristic
20C22×#6105C2211yescharacteristic
21C2×#88178C2211yescharacteristic
22C2×C4×Dic26C2211yescharacteristic
23C13×#391C2211yescharacteristic
24C13×#391C2211yescharacteristic
25C13×#390C2211yescharacteristic
26C13×#390C2211yescharacteristic
27C13×#386—21no—
28C13×#386—21no—
29C4×C13×C22⋊C4—21no—
30C4×C13×C22⋊C4—21no—
31#11718900C418yescomplemented
32C2×#88075C2211yescharacteristic
33C2×#88075C2211yescharacteristic
34C2×#88075C2211yescharacteristic
35C2×#88072C2211yescharacteristic
36C2×#88072C2211yescharacteristic
37C2×#88072C2211yescharacteristic
38#11718873C2211yescharacteristic
39#11718871—21no—
40C4×C22⋊Dic13—21no—
41C2×C22⋊#1055C2211yescharacteristic
42C2×C22⋊#1055C2211yescharacteristic
43C2×#88050C2211yescharacteristic
44C2×#88050C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47C4×C4⋊Dic13C2211yescharacteristic
48#11718594—21no—
49C4×#6101—21no—
50#11718590C2211yescharacteristic
51#11718589C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×#88043C2211yescharacteristic
54#11718121C2211yescharacteristic
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718116C2211yescharacteristic
59#11718116C2211yescharacteristic
60C2×C13×#41—22no—
61C2×C13×#41—41no—
62C2×C13×#41—41no—
63C2×C13×#41—41no—
64C2×C13×#41—41no—
65C2×C13×#41C2×C414yes—
66C22×Q8×C13C2311yescharacteristic
67C22×D4×C13—21no—
68C22×D4×C13C2311yescharacteristic
69C23×C4×C13—21no—
70C23×C4×C13D411yescharacteristic
71C23×C4×C13D411yescharacteristic
72C23×C4×C13C2311yescharacteristic
73C22×Dic26C2311yescharacteristic
74C13×#117—41no—
75C13×#117—41no—
76C2×C13×C4⋊C4C2311yescharacteristic
77C2×C13×C4⋊C4C2311yescharacteristic
78C2×C13×C22⋊C4—21no—
79C2×C13×C22⋊C4—21no—
80C2×C13×C22⋊C4—21no—
81C2×C13×C22⋊C4—21no—
82C2×C13×C22⋊C4—21no—
83C2×C42×C13—21no—
84C2×C42×C13—41no—
85C2×C42×C13—41no—
86C2×C42×C13D411yescharacteristic
87C2×C42×C13D411yescharacteristic
88C2×C42×C13C2311yescharacteristic
89C2×C42×C13C2311yescharacteristic
90C2×C22⋊Dic13—21no—
91C2×C22⋊Dic13—21no—
92C2×#6107—41no—
93C2×#6107—41no—
94C2×#6107C2×C414yescomplemented
95C2×#6105—41no—
96C2×#6105—41no—
97C2×#6105C2×C414yescomplemented
98C2×C4⋊Dic13C2311yescharacteristic
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101#88178—22no—
102#88178C2×C414yes—
103C2×#6101—21no—
104C2×#6101—21no—
105C2×#6101—21no—
106C2×C4×Dic13—21no—
107C2×C4×Dic13—21no—
108C22×#1055C2311yescharacteristic
109C22×#1055C2311yescharacteristic
110C22×#1055C2311yescharacteristic
111C22×#1055C2311yescharacteristic
112C4×Dic26—41no—
113C4×Dic26—41no—
114C13×#95—21no—
115C13×#95—21no—
116C13×#95—21no—
117C13×#95—21no—
118#88075—41no—
119#88075—41no—
120#88075C2×C414yescomplemented
121#88072—41no—
122#88072—41no—
123#88072C2×C414yescomplemented
124#88071—21no—
125#88071—21no—
126#88071—21no—
127#88071—21no—
128#88071—21no—
129C22⋊#1055—22no—
130C22⋊#1055C2×C414yes—
131#88050—41no—
132#88050—41no—
133#88048—41no—
134#88047—41no—
135#88043—41no—
136#88043—41no—
137#22048—131nomaximal, Sylow
138C24×C13—21no—
139C24×C13C2×D411yescharacteristic
140C13×#41—44no—
141C13×#41—44no—
142C13×#41—44no—
143C13×#41—44no—
144C2×Q8×C13—21no—
145C2×Q8×C13—21no—
146C2×Q8×C13—21no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13C22×C412yes—
150C2×D4×C13—24no—
151C2×D4×C13—21no—
152C2×D4×C13—21no—
153C2×D4×C13—21no—
154C2×D4×C13—21no—
155C2×D4×C13—21no—
156C2×D4×C13—42no—
157C2×D4×C13—42no—
158C2×D4×C13C22×C412yes—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—21no—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—24no—
165C22×C4×C13—22no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—41no—
169C22×C4×C13—41no—
170C22×C4×C13—41no—
171C22×C4×C13—41no—
172C22×C4×C13—41no—
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×C22⋊C4—42no—
198C13×C22⋊C4—42no—
199C13×C22⋊C4—42no—
200C13×C22⋊C4—42no—
201C13×C22⋊C4—42no—
202C42×C13—21no—
203C42×C13—21no—
204C42×C13—21no—
205C42×C13—21no—
206C42×C13—41no—
207C42×C13—41no—
208C42×C13—42no—
209C22⋊Dic13—24no—
210C22⋊Dic13—42no—
211#6107—44no—
212#6105—44no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13C22×C412yes—
219#6101—24no—
220#6101—42no—
221#6101—42no—
222C4×Dic13—42no—
223C4×Dic13—42no—
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×#1055C22×C412yes—
235C2×#1055C22×C412yes—
236C2×#452—131no—
237C4×C22⋊Q8—131no—
238#2297D1311yescharacteristic
239#1973—131no—
240#1971—131no—
241#1936—131no—
242#1935—131no—
243#1928—131no—
244#1926—131no—
245#1880—131no—
246#1878—131no—
247#1873—131no—
248#1854—131no—
249#1788—131no—
250#1749—131no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—22no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13—41no—
262C23×C13—41no—
263C23×C13—41no—
264C23×C13C4×D412yes—
265C23×C13C22×D411yescharacteristic
266Q8×C13—22no—
267Q8×C13—22no—
268Q8×C13—41no—
269Q8×C13—41no—
270D4×C13—22no—
271D4×C13—22no—
272D4×C13—48no—
273D4×C13—41no—
274D4×C13—41no—
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—22no—
284C2×C4×C13—21no—
285C2×C4×C13—21no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—21no—
291C2×C4×C13—21no—
292C2×C4×C13—21no—
293C2×C4×C13—44no—
294C2×C4×C13—48no—
295C2×C4×C13—44no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13C4×D412yes—
305C2×C4×C13#13712yes—
306C2×C4×C13C23×C411yescharacteristic
307C2×C4×C13C2×#4111yescharacteristic
308C2×C4×C13H(5,𝔽2)11yescharacteristic
309C2×C4×C13H(5,𝔽2)11yescharacteristic
310C2×C4×C13H(5,𝔽2)11yescharacteristic
311C2×C4×C13H(5,𝔽2)11yescharacteristic
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324Dic26—22no—
325Dic26—22no—
326Dic26—41no—
327Dic26—41no—
328#1055—22no—
329#1055—22no—
330#1055—41no—
331#1055—41no—
332C22×#41C2×D1311yescharacteristic
333C22×Q16—131no—
334C22×SD16—131no—
335C2×C22⋊Q8—131no—
336C2×C4×Q8—131no—
337C2×#117C2×D1311yescharacteristic
338C22×C42C2×D1311yescharacteristic
339#452—138no—
340C2×#107—131no—
341C2×#106—131no—
342C2×#103—131no—
343C2×#103—131no—
344C2×#103—131no—
345C2×#103—131no—
346C2×#103—131no—
347C2×#102—131no—
348C2×#102—131no—
349C2×#102—131no—
350C2×C22⋊C8—131no—
351C2×C22⋊C8—131no—
352C2×#97—131no—
353C2×#97—131no—
354#391—131no—
355#391C2×D1311yescharacteristic
356#391C2×D1311yescharacteristic
357#390C2×D1311yescharacteristic
358#390C2×D1311yescharacteristic
359#389—131no—
360#387—261no—
361#386—21no—
362#386—21no—
363#385—261no—
364#380—131no—
365C4×C4⋊C4—131no—
366C4×C4⋊C4—261no—
367C4×C22⋊C4—21no—
368C4×C22⋊C4—21no—
369C4×C22⋊C4—261no—
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#336—131no—
375#336—131no—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—41no—
380C22×C13—41no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—42no—
384C22×C13—42no—
385C22×C13—42no—
386C22×C13—81no—
387C22×C13—81no—
388C22×C13—81no—
389C22×C13—81no—
390C22×C13C2×C4×D411yescharacteristic
391C22×C13#53411yescharacteristic
392C22×C13#53511yescharacteristic
393C22×C13C2×#13711yescharacteristic
394C22×C13#57511yescharacteristic
395C22×C13#57511yescharacteristic
396C22×C13#57511yescharacteristic
397C4×C13—22no—
398C4×C13—22no—
399C4×C13—42no—
400C4×C13—41no—
401C4×C13—41no—
402C4×C13—41no—
403C4×C13—81no—
404C4×C13—81no—
405C4×C13#51811yescharacteristic
406C4×C13#51811yescharacteristic
407C4×C13#53811yescharacteristic
408C4×C13#53811yescharacteristic
409Dic13—42no—
410Dic13—42no—
411Dic13—81no—
412Dic13—81no—
413C2×#41—22no—
414C2×#41—41no—
415C2×#41—41no—
416C2×#41—41no—
417C2×#41—41no—
418C2×#41C4×D1314yes—
419C22×Q8—131no—
420C22×Q8C22×D1311yescharacteristic
421C22×D4—21no—
422C22×D4C22×D1311yescharacteristic
423C23×C4—21no—
424C23×C4C22⋊D1311yescharacteristic
425C23×C4C22⋊D1311yescharacteristic
426C23×C4C22×D1311yescharacteristic
427C2×Q16—134no—
428C2×Q16—521no—
429C2×Q16—521no—
430C2×SD16—134no—
431C2×SD16—521no—
432C2×SD16—521no—
433C22×C8—131no—
434C22×C8—131no—
435C22×C8—131no—
436C22×C8—131no—
437C22⋊Q8—134no—
438C22⋊Q8—262no—
439C4×Q8—521no—
440C4×Q8—521no—
441#117—41no—
442#117—41no—
443C2×C4⋊C4—131no—
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×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—261no—
457C2×C22⋊C4—261no—
458C2×C42—21no—
459C2×C42—41no—
460C2×C42—41no—
461C2×C42—261no—
462C2×C42—261no—
463C2×C42C22⋊D1311yescharacteristic
464C2×C42C22⋊D1311yescharacteristic
465C2×C42C22×D1311yescharacteristic
466C2×C42C22×D1311yescharacteristic
467#107—521no—
468#106—521no—
469#103—134no—
470#103—521no—
471#103—521no—
472#103—521no—
473#103—521no—
474#102—134no—
475#102—521no—
476#102—521no—
477C22⋊C8—134no—
478C22⋊C8—262no—
479#97—521no—
480#97—521no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—261no—
486#95—261no—
487#95—261no—
488#95—261no—
489#95—261no—
490C2×C13—42no—
491C2×C13—82no—
492C2×C13#232111yescharacteristic
493C2×C13#294311yescharacteristic
494C2×C13C4×#13711yescharacteristic
495C2×C13#319611yescharacteristic
496C2×C13#319711yescharacteristic
497C2×C13#321611yescharacteristic
498C2×C13#321911yescharacteristic
499C24—21no—
500C24C2×C22⋊D1311yescharacteristic
501#41—44no—
502#41—44no—
503#41—44no—
504#41—44no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—132no—
511C2×Q8—261no—
512C2×Q8—261no—
513C2×Q8—261no—
514C2×Q8—261no—
515C2×Q8—261no—
516C2×Q8C2×C4×D1312yes—
517C2×D4—24no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4C2×C4×D1312yes—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—261no—
543C22×C4—261no—
544C22×C4—261no—
545C22×C4—261no—
546C22×C4C2×C4×D1312yes—
547C22×C4#612712yes—
548C22×C4C2×C22⋊D1311yescharacteristic
549C22×C4C2×C22⋊D1311yescharacteristic
550C22×C4C2×C22⋊D1311yescharacteristic
551C22×C4C2×C22⋊D1311yescharacteristic
552C22×C4C2×C22⋊D1311yescharacteristic
553C22×C4C23×D1311yescharacteristic
554Q16—524no—
555SD16—524no—
556C2×C8—132no—
557C2×C8—132no—
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—
567C2×C8—261no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—132no—
573C4⋊C4—264no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—261no—
577C4⋊C4—261no—
578C4⋊C4—261no—
579C4⋊C4—522no—
580C4⋊C4—522no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—264no—
587C22⋊C4—522no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—41no—
593C42—41no—
594C42—42no—
595C42—522no—
596C42—522no—
597C13#2204811yescharacteristic, complemented, Sylow
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23C4×C22⋊D1312yes—
612C23C22×C22⋊D1311yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—262no—
618Q8—262no—
619Q8—521no—
620Q8—521no—
621D4—22no—
622D4—22no—
623D4—48no—
624D4—41no—
625D4—41no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—44no—
645C2×C4—48no—
646C2×C4—44no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—521no—
658C2×C4—521no—
659C2×C4—521no—
660C2×C4—521no—
661C2×C4—521no—
662C2×C4—521no—
663C2×C4—521no—
664C2×C4—521no—
665C2×C4—521no—
666C2×C4—521no—
667C2×C4C4×C22⋊D1312yes—
668C2×C4#8820512yes—
669C2×C4C22×C4×D1311yescharacteristic
670C2×C4C2×#612711yescharacteristic
671C2×C4#8825111yescharacteristic
672C2×C4#8825111yescharacteristic
673C2×C4#8825111yescharacteristic
674C2×C4#8825111yescharacteristic
675C8—262no—
676C8—262no—
677C8—521no—
678C8—521no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C2×C4×C22⋊D1311yescharacteristic
694C22#1171950911yescharacteristic
695C22#1171951011yescharacteristic
696C22#1171952711yescharacteristic
697C22#1171952711yescharacteristic
698C22#1171952711yescharacteristic
699C22C2×#8820511yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—42no—
706C4—81no—
707C4—81no—
708C4—522no—
709C4—522no—
710C4—1041no—
711C4—1041no—
712C4#1171919111yescharacteristic
713C4#1171919111yescharacteristic
714C4#1171919911yescharacteristic
715C4#1171919911yescharacteristic
716C2—42no—
717C2—82no—
718C2#1311749411yescharacteristic
719C2#1312363411yescharacteristic
720C2C4×#8820511yescharacteristic
721C2#1312566211yescharacteristic
722C2#1312567311yescharacteristic
723C2#1312584711yescharacteristic
724C2#1312587311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2297C2
socleC23×C13C22×D4
prime radicalC22×C13×#41C22
cosocleC22×C4×C13C24
hypercenter#2297D13
hypocenterC13#22048
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C42 ◁ #2297

Complements

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

NH ≅ G/Ntype
2. C4×#88178C2semidirect
3. #13115716C2semidirect
4. #13115706C2semidirect
5. #13115536C2semidirect
6. #13115529C2semidirect
7. #13115474C2semidirect
8. #13115460C2semidirect
9. #13115194C2semidirect
10. #13115180C2semidirect
11. #13115148C2semidirect
12. #13115035C2semidirect
14. #13114598C2semidirect
31. #11718900C4semidirect
94. C2×#6107C2×C4semidirect
97. C2×#6105C2×C4semidirect
120. #88075C2×C4semidirect
123. #88072C2×C4semidirect
597. C13#22048semidirect

Maximal subgroups

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

subgroupindex
C2×#117189002
C4×#881782
#131157162
#131157062
#131155362
#131155292
#131154742
#131154602
#131151942
#131151802
#131151482
#131150352
#131147762
#131145982
C13×#22972
#2204813