Finite Group Databasebeta

← C113×#15219 #43283239

Subgroups — C113×#15219 #43283239

Order 28928.

2422 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#121×C113C211yesmaximal, characteristic
2C2×#390×C113C211yesmaximal, characteristic, complemented
3C2×#390×C113C211yesmaximal, characteristic, complemented
4C2×#382×C113C211yesmaximal, characteristic, complemented
5C2×#380×C113C211yesmaximal, characteristic, complemented
6C2×C4×C22⋊C4×C113C211yesmaximal, characteristic, complemented
7C113×#1440C214yesmaximal, complemented
8C113×#1438C214yesmaximal, complemented
9C113×C4⋊#95C211yesmaximal, characteristic, complemented
10C23×D4×C113C2211yescharacteristic
11C23×D4×C113C2212yes—
12C24×C4×C113C2211yescharacteristic
13C2×#121×C113—24no—
14C2×#121×C113—24no—
15C2×#121×C113—24no—
16C22×C4⋊C4×C113C2211yescharacteristic
17C22×C4⋊C4×C113C2211yescharacteristic
18C22×C4⋊C4×C113C2211yescharacteristic
19C22×C22⋊C4×C113C2212yes—
20C22×C22⋊C4×C113C2212yes—
21C22×C22⋊C4×C113C2214yes—
22C22×C22⋊C4×C113C2212yes—
23C22×C22⋊C4×C113C2214yes—
24C22×C42×C113C2211yescharacteristic
25C22×C42×C113C2211yescharacteristic
26#390×C113—24no—
27#390×C113—24no—
28#382×C113—24no—
29#380×C113—24no—
30C4×C22⋊C4×C113—24no—
31C2×#95×C113C2212yes—
32C2×#95×C113C2214yes—
33C2×#95×C113C2212yes—
34C2×#95×C113C2214yes—
35C25×C113C2312yes—
36C25×C113C2311yescharacteristic
37C22×D4×C113—24no—
38C22×D4×C113—24no—
39C22×D4×C113—28no—
40C22×D4×C113—24no—
41C22×D4×C113—22no—
42C22×D4×C113—22no—
43C22×D4×C113—22no—
44C22×D4×C113—22no—
45C22×D4×C113—22no—
46C22×D4×C113—22no—
47C22×D4×C113—44no—
48C22×D4×C113D414yes—
49C23×C4×C113—22no—
50C23×C4×C113—22no—
51C23×C4×C113—22no—
52C23×C4×C113—22no—
53C23×C4×C113—22no—
54C23×C4×C113—22no—
55C23×C4×C113D414yes—
56C23×C4×C113C2312yes—
57C23×C4×C113C2312yes—
58C23×C4×C113C2312yes—
59C23×C4×C113C2311yescharacteristic
60C23×C4×C113C2312yes—
61C23×C4×C113C2312yes—
62C23×C4×C113C2311yescharacteristic
63#121×C113—232no—
64C2×C4⋊C4×C113—22no—
65C2×C4⋊C4×C113—22no—
66C2×C4⋊C4×C113—22no—
67C2×C4⋊C4×C113—22no—
68C2×C4⋊C4×C113—22no—
69C2×C4⋊C4×C113—22no—
70C2×C4⋊C4×C113—22no—
71C2×C4⋊C4×C113—22no—
72C2×C4⋊C4×C113D414yes—
73C2×C22⋊C4×C113—24no—
74C2×C22⋊C4×C113—24no—
75C2×C22⋊C4×C113—24no—
76C2×C22⋊C4×C113—24no—
77C2×C22⋊C4×C113—24no—
78C2×C22⋊C4×C113—24no—
79C2×C22⋊C4×C113—24no—
80C2×C22⋊C4×C113—28no—
81C2×C22⋊C4×C113—28no—
82C2×C22⋊C4×C113—28no—
83C2×C22⋊C4×C113—44no—
84C2×C22⋊C4×C113—44no—
85C2×C22⋊C4×C113—44no—
86C2×C22⋊C4×C113—44no—
87C2×C42×C113—22no—
88C2×C42×C113—22no—
89C2×C42×C113—22no—
90C2×C42×C113—22no—
91C2×C42×C113—22no—
92C2×C42×C113D414yescomplemented
93#95×C113—24no—
94#95×C113—24no—
95#95×C113—28no—
96#95×C113—44no—
97C24×C113—21no—
98C24×C113—21no—
99C24×C113—21no—
100C24×C113—22no—
101C24×C113—21no—
102C24×C113—21no—
103C24×C113—21no—
104C24×C113—22no—
105C24×C113—22no—
106C24×C113—22no—
107C24×C113—22no—
108C24×C113—22no—
109C24×C113—24no—
110C24×C113—22no—
111C24×C113—22no—
112C24×C113—22no—
113C24×C113—24no—
114C24×C113—24no—
115C24×C113—24no—
116C24×C113C2×D414yes—
117C24×C113C2×D412yes—
118C24×C113#4114yes—
119C24×C113C2411yescharacteristic
120C2×D4×C113—216no—
121C2×D4×C113—28no—
122C2×D4×C113—28no—
123C2×D4×C113—28no—
124C2×D4×C113—416no—
125C2×D4×C113—416no—
126C2×D4×C113—48no—
127C2×D4×C113—48no—
128C2×D4×C113—44no—
129C2×D4×C113—44no—
130C2×D4×C113—44no—
131C2×D4×C113—44no—
132C22×C4×C113—22no—
133C22×C4×C113—21no—
134C22×C4×C113—22no—
135C22×C4×C113—22no—
136C22×C4×C113—21no—
137C22×C4×C113—21no—
138C22×C4×C113—22no—
139C22×C4×C113—22no—
140C22×C4×C113—22no—
141C22×C4×C113—22no—
142C22×C4×C113—22no—
143C22×C4×C113—22no—
144C22×C4×C113—22no—
145C22×C4×C113—21no—
146C22×C4×C113—21no—
147C22×C4×C113—21no—
148C22×C4×C113—24no—
149C22×C4×C113—22no—
150C22×C4×C113—24no—
151C22×C4×C113—22no—
152C22×C4×C113—22no—
153C22×C4×C113—22no—
154C22×C4×C113—28no—
155C22×C4×C113—28no—
156C22×C4×C113—28no—
157C22×C4×C113—22no—
158C22×C4×C113—22no—
159C22×C4×C113—22no—
160C22×C4×C113—22no—
161C22×C4×C113—22no—
162C22×C4×C113—24no—
163C22×C4×C113—22no—
164C22×C4×C113—24no—
165C22×C4×C113—24no—
166C22×C4×C113—24no—
167C22×C4×C113—44no—
168C22×C4×C113—44no—
169C22×C4×C113—44no—
170C22×C4×C113—44no—
171C22×C4×C113C2×D412yes—
172C22×C4×C113C2×D414yes—
173C22×C4×C113C2×D414yes—
174C22×C4×C113C2×D412yes—
175C22×C4×C113C2×D412yes—
176C22×C4×C113C2×D412yes—
177C22×C4×C113C2×D412yes—
178C22×C4×C113#4114yes—
179C22×C4×C113#4112yes—
180C22×C4×C113#4112yes—
181C22×C4×C113#4112yes—
182C4⋊C4×C113—28no—
183C4⋊C4×C113—44no—
184C4⋊C4×C113—44no—
185C22⋊C4×C113—216no—
186C22⋊C4×C113—216no—
187C22⋊C4×C113—416no—
188C22⋊C4×C113—416no—
189C22⋊C4×C113—48no—
190C42×C113—28no—
191C42×C113—44no—
192C23×C113—22no—
193C23×C113—22no—
194C23×C113—22no—
195C23×C113—24no—
196C23×C113—24no—
197C23×C113—22no—
198C23×C113—22no—
199C23×C113—22no—
200C23×C113—24no—
201C23×C113—24no—
202C23×C113—24no—
203C23×C113—24no—
204C23×C113—24no—
205C23×C113—24no—
206C23×C113—24no—
207C23×C113—28no—
208C23×C113—28no—
209C23×C113—41no—
210C23×C113—41no—
211C23×C113—41no—
212C23×C113—41no—
213C23×C113—42no—
214C23×C113—42no—
215C23×C113—42no—
216C23×C113—42no—
217C23×C113—42no—
218C23×C113—42no—
219C23×C113—42no—
220C23×C113—42no—
221C23×C113—42no—
222C23×C113—44no—
223C23×C113—42no—
224C23×C113—42no—
225C23×C113—44no—
226C23×C113—42no—
227C23×C113—44no—
228C23×C113—42no—
229C23×C113—42no—
230C23×C113—44no—
231C23×C113—44no—
232C23×C113—44no—
233C23×C113—44no—
234C23×C113—44no—
235C23×C113—44no—
236C23×C113—44no—
237C23×C113#12414yes—
238C23×C113C22×D411yescharacteristic
239C23×C113C22×D411yescharacteristic
240C23×C113C22×D411yescharacteristic
241C23×C113C22×D411yescharacteristic
242C23×C113C2×#4111yescharacteristic
243C23×C113C2×#4111yescharacteristic
244C23×C113C2×#4111yescharacteristic
245C23×C113C2×#4112yes—
246C23×C113C2×#4112yes—
247C23×C113H(5,𝔽2)12yes—
248C23×C113H(5,𝔽2)12yes—
249D4×C113—432no—
250D4×C113—416no—
251C2×C4×C113—22no—
252C2×C4×C113—24no—
253C2×C4×C113—24no—
254C2×C4×C113—22no—
255C2×C4×C113—22no—
256C2×C4×C113—24no—
257C2×C4×C113—24no—
258C2×C4×C113—24no—
259C2×C4×C113—24no—
260C2×C4×C113—28no—
261C2×C4×C113—24no—
262C2×C4×C113—42no—
263C2×C4×C113—41no—
264C2×C4×C113—41no—
265C2×C4×C113—41no—
266C2×C4×C113—41no—
267C2×C4×C113—42no—
268C2×C4×C113—42no—
269C2×C4×C113—42no—
270C2×C4×C113—42no—
271C2×C4×C113—42no—
272C2×C4×C113—44no—
273C2×C4×C113—42no—
274C2×C4×C113—42no—
275C2×C4×C113—42no—
276C2×C4×C113—42no—
277C2×C4×C113—416no—
278C2×C4×C113—42no—
279C2×C4×C113—42no—
280C2×C4×C113—42no—
281C2×C4×C113—44no—
282C2×C4×C113—42no—
283C2×C4×C113—42no—
284C2×C4×C113—42no—
285C2×C4×C113—44no—
286C2×C4×C113—44no—
287C2×C4×C113—44no—
288C2×C4×C113#12014yes—
289C2×C4×C113#12114yes—
290C2×C4×C113#12114yes—
291C2×C4×C113#12114yes—
292C2×C4×C113#12314yes—
293C2×C4×C113#12314yes—
294C2×C4×C113#12414yes—
295C22×C113—24no—
296C22×C113—24no—
297C22×C113—24no—
298C22×C113—42no—
299C22×C113—42no—
300C22×C113—44no—
301C22×C113—44no—
302C22×C113—42no—
303C22×C113—44no—
304C22×C113—42no—
305C22×C113—44no—
306C22×C113—44no—
307C22×C113—48no—
308C22×C113—44no—
309C22×C113—44no—
310C22×C113—48no—
311C22×C113—82no—
312C22×C113—82no—
313C22×C113—84no—
314C22×C113—84no—
315C22×C113—82no—
316C22×C113—82no—
317C22×C113C2×#12011yescharacteristic
318C22×C113C2×#12111yescharacteristic
319C22×C113C2×#12111yescharacteristic
320C22×C113C2×#12111yescharacteristic
321C22×C113C2×#12311yescharacteristic
322C22×C113C2×#12311yescharacteristic
323C22×C113#52512yes—
324C22×C113C2×#12411yescharacteristic
325C22×C113C2×#12411yescharacteristic
326C22×C113#52912yes—
327C22×C113#53211yescharacteristic
328C22×C113#53512yes—
329C22×C113#53511yescharacteristic
330C22×C113#53511yescharacteristic
331C22×C113#54012yes—
332C22×C113#54612yes—
333C22×C113#54612yes—
334C22×C113#54612yes—
335C22×C113#55012yes—
336C22×C113#55312yes—
337C22×C113#55312yes—
338C22×C113#55312yes—
339C22×C113#55512yes—
340C4×C113—42no—
341C4×C113—44no—
342C4×C113—44no—
343C4×C113—44no—
344C4×C113—82no—
345C4×C113—82no—
346C4×C113#39418yes—
347#15219C11311yesmaximal, characteristic, direct product factor, Sylow
348C2×C113—44no—
349C2×C113—84no—
350C2×C113C2×#39411yescharacteristic
351C2×C113#241412yes—
352C2×C113#242012yes—
353C2×C113#243111yescharacteristic
354C2×C113#243511yescharacteristic
355C2×C113#249012yes—
356C2×C113#250011yescharacteristic
357C2×C113#250411yescharacteristic
358C2×C113#253512yes—
359C2×C113#261911yescharacteristic
360C2×C113#285011yescharacteristic
361C22×#121C2×C11311yescharacteristic
362C2×#390C2×C11311yescharacteristic, complemented
363C2×#390C2×C11311yescharacteristic, complemented
364C2×#382C2×C11311yescharacteristic, complemented
365C2×#380C2×C11311yescharacteristic, complemented
366C2×C4×C22⋊C4C2×C11311yescharacteristic, complemented
367#1440C2×C11314yescomplemented
368#1438C2×C11314yescomplemented
369C4⋊#95C2×C11311yescharacteristic, complemented
370C113#1521911yescharacteristic, direct product factor, Sylow
371C23×D4C22×C11311yescharacteristic
372C23×D4C22×C11312yes—
373C24×C4C22×C11311yescharacteristic
374C2×#121—24no—
375C2×#121—24no—
376C2×#121—24no—
377C22×C4⋊C4C22×C11311yescharacteristic
378C22×C4⋊C4C22×C11311yescharacteristic
379C22×C4⋊C4C22×C11311yescharacteristic
380C22×C22⋊C4C22×C11312yes—
381C22×C22⋊C4C22×C11312yes—
382C22×C22⋊C4C22×C11314yes—
383C22×C22⋊C4C22×C11312yes—
384C22×C22⋊C4C22×C11314yes—
385C22×C42C22×C11311yescharacteristic
386C22×C42C22×C11311yescharacteristic
387#390—24no—
388#390—24no—
389#382—24no—
390#380—24no—
391C4×C22⋊C4—24no—
392C2×#95C22×C11314yes—
393C2×#95C22×C11312yes—
394C2×#95C22×C11312yes—
395C2×#95C22×C11314yes—
396C25C23×C11312yes—
397C25C23×C11311yescharacteristic
398C22×D4—24no—
399C22×D4—24no—
400C22×D4—28no—
401C22×D4—24no—
402C22×D4—22no—
403C22×D4—22no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—44no—
409C22×D4D4×C11314yes—
410C23×C4—22no—
411C23×C4—22no—
412C23×C4—22no—
413C23×C4—22no—
414C23×C4—22no—
415C23×C4—22no—
416C23×C4D4×C11314yes—
417C23×C4C23×C11312yes—
418C23×C4C23×C11312yes—
419C23×C4C23×C11312yes—
420C23×C4C23×C11311yescharacteristic
421C23×C4C23×C11312yes—
422C23×C4C23×C11312yes—
423C23×C4C23×C11311yescharacteristic
424#121—232no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4D4×C11314yes—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—28no—
442C2×C22⋊C4—28no—
443C2×C22⋊C4—28no—
444C2×C22⋊C4—44no—
445C2×C22⋊C4—44no—
446C2×C22⋊C4—44no—
447C2×C22⋊C4—44no—
448C2×C42—22no—
449C2×C42—22no—
450C2×C42—22no—
451C2×C42—22no—
452C2×C42—22no—
453C2×C42D4×C11314yescomplemented
454#95—24no—
455#95—24no—
456#95—28no—
457#95—44no—
458C24—21no—
459C24—21no—
460C24—21no—
461C24—22no—
462C24—21no—
463C24—21no—
464C24—21no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—24no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—24no—
475C24—24no—
476C24—24no—
477C24C2×D4×C11314yes—
478C24C2×D4×C11312yes—
479C24#41×C11314yes—
480C24C24×C11311yescharacteristic
481C2×D4—216no—
482C2×D4—28no—
483C2×D4—28no—
484C2×D4—28no—
485C2×D4—416no—
486C2×D4—416no—
487C2×D4—48no—
488C2×D4—48no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—28no—
516C22×C4—28no—
517C22×C4—28no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—24no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4C2×D4×C11312yes—
533C22×C4C2×D4×C11314yes—
534C22×C4C2×D4×C11314yes—
535C22×C4C2×D4×C11312yes—
536C22×C4C2×D4×C11312yes—
537C22×C4C2×D4×C11312yes—
538C22×C4C2×D4×C11312yes—
539C22×C4#41×C11314yes—
540C22×C4#41×C11312yes—
541C22×C4#41×C11312yes—
542C22×C4#41×C11312yes—
543C4⋊C4—28no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C22⋊C4—216no—
547C22⋊C4—216no—
548C22⋊C4—416no—
549C22⋊C4—416no—
550C22⋊C4—48no—
551C42—28no—
552C42—44no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—24no—
557C23—24no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—28no—
569C23—28no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—44no—
584C23—42no—
585C23—42no—
586C23—44no—
587C23—42no—
588C23—44no—
589C23—42no—
590C23—42no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23#124×C11314yes—
599C23C22×D4×C11311yescharacteristic
600C23C22×D4×C11311yescharacteristic
601C23C22×D4×C11311yescharacteristic
602C23C22×D4×C11311yescharacteristic
603C23C2×#41×C11311yescharacteristic
604C23C2×#41×C11311yescharacteristic
605C23C2×#41×C11311yescharacteristic
606C23C2×#41×C11312yes—
607C23C2×#41×C11312yes—
608C23H(5,𝔽2)×C11312yes—
609C23H(5,𝔽2)×C11312yes—
610D4—432no—
611D4—416no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—28no—
622C2×C4—24no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—44no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—416no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—44no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4#120×C11314yes—
650C2×C4#121×C11314yes—
651C2×C4#121×C11314yes—
652C2×C4#121×C11314yes—
653C2×C4#123×C11314yes—
654C2×C4#123×C11314yes—
655C2×C4#124×C11314yes—
656C22—24no—
657C22—24no—
658C22—24no—
659C22—44no—
660C22—42no—
661C22—42no—
662C22—44no—
663C22—44no—
664C22—42no—
665C22—44no—
666C22—42no—
667C22—48no—
668C22—44no—
669C22—48no—
670C22—44no—
671C22—44no—
672C22—82no—
673C22—82no—
674C22—84no—
675C22—84no—
676C22—82no—
677C22—82no—
678C22C2×#120×C11311yescharacteristic
679C22C2×#121×C11311yescharacteristic
680C22C2×#121×C11311yescharacteristic
681C22C2×#121×C11311yescharacteristic
682C22C2×#123×C11311yescharacteristic
683C22C2×#123×C11311yescharacteristic
684C22#525×C11312yes—
685C22C2×#124×C11311yescharacteristic
686C22C2×#124×C11311yescharacteristic
687C22#529×C11312yes—
688C22#532×C11311yescharacteristic
689C22#535×C11312yes—
690C22#535×C11311yescharacteristic
691C22#535×C11311yescharacteristic
692C22#540×C11312yes—
693C22#546×C11312yes—
694C22#546×C11312yes—
695C22#546×C11312yes—
696C22#550×C11312yes—
697C22#553×C11312yes—
698C22#553×C11312yes—
699C22#553×C11312yes—
700C22#555×C11312yes—
701C4—44no—
702C4—42no—
703C4—44no—
704C4—44no—
705C4—82no—
706C4—82no—
707C4#394×C11318yes—
708C2—44no—
709C2—84no—
710C2C2×#394×C11311yescharacteristic
711C2C113×#241412yes—
712C2C113×#242012yes—
713C2C113×#243111yescharacteristic
714C2C113×#243511yescharacteristic
715C2C113×#249012yes—
716C2C113×#250011yescharacteristic
717C2C113×#250411yescharacteristic
718C2C113×#253512yes—
719C2C113×#261911yescharacteristic
720C2C113×#285011yescharacteristic
subgroupG/H
center, socleC24×C113C24
commutator, Frattini, cosocleC24C24×C113
prime radicalC22×#121×C113C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C113 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#390×C113C2semidirect
3. C2×#390×C113C2semidirect
4. C2×#382×C113C2semidirect
5. C2×#380×C113C2semidirect
6. C2×C4×C22⋊C4×C113C2semidirect
7. C113×#1440C2semidirect
8. C113×#1438C2semidirect
9. C113×C4⋊#95C2semidirect
92. C2×C42×C113D4semidirect
347. #15219C113direct (N × H)
362. C2×#390C2×C113semidirect
363. C2×#390C2×C113semidirect
364. C2×#382C2×C113semidirect
365. C2×#380C2×C113semidirect
366. C2×C4×C22⋊C4C2×C113semidirect
367. #1440C2×C113semidirect
368. #1438C2×C113semidirect
369. C4⋊#95C2×C113semidirect
370. C113#15219direct (N × H)
453. C2×C42D4×C113semidirect

Maximal subgroups

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

subgroupindex
C22×#121×C1132
C2×#390×C1132
C2×#382×C1132
C2×#380×C1132
C2×C4×C22⋊C4×C1132
C113×#14402
C113×#14382
C113×C4⋊#952
#15219113