Finite Group Databasebeta

← C113×#26733 #43294753

Subgroups — C113×#26733 #43294753

Order 28928.

804 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#2491C211yesmaximal, characteristic
2C113×#2362C211yesmaximal, characteristic, complemented
3C113×#2055C211yesmaximal, characteristic, complemented
4C113×#2036C211yesmaximal, characteristic, complemented
5C113×#2024C211yesmaximal, characteristic, complemented
6C113×#2000C211yesmaximal, characteristic
7C113×#1987C211yesmaximal, characteristic, complemented
8C113×#1934C211yesmaximal, characteristic, complemented
9C113×#1925C211yesmaximal, characteristic, complemented
10C113×#1923C211yesmaximal, characteristic, complemented
11C113×#1918C211yesmaximal, characteristic, complemented
12C113×#1880C211yesmaximal, characteristic, complemented
13C113×#1875C211yesmaximal, characteristic
14C113×#1825C211yesmaximal, characteristic, complemented
15C4×#103×C113C211yesmaximal, characteristic, complemented
16C22×SD16×C113C2211yescharacteristic
17C2×C4⋊Q8×C113C2211yescharacteristic
18C2×#124×C113—21no—
19C2×C22⋊Q8×C113C2211yescharacteristic
20C2×#121×C113C2211yescharacteristic
21C2×C4×Q8×C113C2211yescharacteristic
22C2×#117×C113C2211yescharacteristic
23C2×#107×C113C2211yescharacteristic
24C2×C4⋊C8×C113C2211yescharacteristic
25C2×#103×C113C2211yescharacteristic
26C2×#103×C113C2211yescharacteristic
27C2×#103×C113C2211yescharacteristic
28C2×#102×C113C2211yescharacteristic
29C2×#102×C113C2211yescharacteristic
30C2×#102×C113C2211yescharacteristic
31C2×C22⋊C8×C113C2211yescharacteristic
32C2×C22⋊C8×C113C2211yescharacteristic
33C2×C4×C8×C113C2211yescharacteristic
34#394×C113—21no—
35#393×C113—21no—
36#391×C113C2211yescharacteristic
37#390×C113C2211yescharacteristic
38#390×C113C2211yescharacteristic
39#389×C113C2211yescharacteristic
40#388×C113—21no—
41#388×C113—21no—
42#388×C113—21no—
43#387×C113—21no—
44#380×C113C2211yescharacteristic
45C4×C4⋊C4×C113—21no—
46C4×C4⋊C4×C113C2211yescharacteristic
47C4×C4⋊C4×C113C2211yescharacteristic
48C4×C22⋊C4×C113C2211yescharacteristic
49#340×C113C2211yescharacteristic
50#340×C113C2211yescharacteristic
51#340×C113C2211yescharacteristic
52#340×C113C2211yescharacteristic
53#340×C113C2211yescharacteristic
54#340×C113C2211yescharacteristic
55#340×C113C2211yescharacteristic
56#340×C113C2211yescharacteristic
57#336×C113C2211yescharacteristic
58#336×C113C2211yescharacteristic
59C22×Q8×C113—21no—
60C22×Q8×C113C2311yescharacteristic
61C22×D4×C113—21no—
62C22×D4×C113C2311yescharacteristic
63C23×C4×C113C2311yescharacteristic
64C2×SD16×C113—22no—
65C2×SD16×C113—41no—
66C2×SD16×C113—41no—
67C22×C8×C113C2311yescharacteristic
68C22×C8×C113C2311yescharacteristic
69C22×C8×C113C2311yescharacteristic
70C22×C8×C113C2311yescharacteristic
71C4⋊Q8×C113—22no—
72C4⋊Q8×C113—41no—
73#124×C113—44no—
74C22⋊Q8×C113—22no—
75C22⋊Q8×C113—22no—
76#121×C113—22no—
77#121×C113—41no—
78C4×Q8×C113—22no—
79C4×Q8×C113—41no—
80#117×C113—22no—
81#117×C113—41no—
82C2×C4⋊C4×C113—21no—
83C2×C4⋊C4×C113—21no—
84C2×C4⋊C4×C113—21no—
85C2×C4⋊C4×C113—21no—
86C2×C4⋊C4×C113C2311yescharacteristic
87C2×C4⋊C4×C113C2311yescharacteristic
88C2×C4⋊C4×C113C2311yescharacteristic
89C2×C4⋊C4×C113C2311yescharacteristic
90C2×C4⋊C4×C113C2311yescharacteristic
91C2×C4⋊C4×C113C2311yescharacteristic
92C2×C22⋊C4×C113—21no—
93C2×C22⋊C4×C113—21no—
94C2×C22⋊C4×C113—21no—
95C2×C22⋊C4×C113—21no—
96C2×C22⋊C4×C113—21no—
97C2×C22⋊C4×C113—21no—
98C2×C22⋊C4×C113—21no—
99C2×C22⋊C4×C113—21no—
100C2×C22⋊C4×C113D411yescharacteristic
101C2×C22⋊C4×C113D411yescharacteristic
102C2×C42×C113—21no—
103C2×C42×C113—21no—
104C2×C42×C113—21no—
105C2×C42×C113—21no—
106C2×C42×C113C2311yescharacteristic
107C2×C42×C113C2311yescharacteristic
108#107×C113—22no—
109C4⋊C8×C113—41no—
110#103×C113—22no—
111#103×C113—22no—
112#103×C113—41no—
113#102×C113—22no—
114#102×C113—22no—
115#102×C113—41no—
116C22⋊C8×C113—41no—
117C22⋊C8×C113—41no—
118C4×C8×C113—41no—
119#95×C113—21no—
120#95×C113—21no—
121#95×C113—21no—
122#95×C113—21no—
123#95×C113—21no—
124#95×C113—21no—
125#95×C113D411yescharacteristic
126#95×C113D411yescharacteristic
127C24×C113—21no—
128C24×C113C2×D411yescharacteristic
129C2×Q8×C113—21no—
130C2×Q8×C113—21no—
131C2×Q8×C113—21no—
132C2×Q8×C113—21no—
133C2×Q8×C113—21no—
134C2×Q8×C113—42no—
135C2×Q8×C113—42no—
136C2×Q8×C113—81no—
137C2×Q8×C113#4112yes—
138C2×D4×C113—21no—
139C2×D4×C113—21no—
140C2×D4×C113—21no—
141C2×D4×C113—21no—
142C2×D4×C113—21no—
143C2×D4×C113—21no—
144C2×D4×C113—42no—
145C2×D4×C113—42no—
146C2×D4×C113—81no—
147C22×C4×C113—21no—
148C22×C4×C113—21no—
149C22×C4×C113—21no—
150C22×C4×C113—21no—
151C22×C4×C113—21no—
152C22×C4×C113—21no—
153C22×C4×C113—21no—
154C22×C4×C113—21no—
155C22×C4×C113—21no—
156C22×C4×C113—21no—
157C22×C4×C113—21no—
158C22×C4×C113—21no—
159C22×C4×C113—21no—
160C22×C4×C113C2×D411yescharacteristic
161C22×C4×C113C2×D411yescharacteristic
162C22×C4×C113C2×D411yescharacteristic
163C22×C4×C113C2×D411yescharacteristic
164C22×C4×C113C2×D411yescharacteristic
165C22×C4×C113C2411yescharacteristic
166SD16×C113—44no—
167C2×C8×C113—21no—
168C2×C8×C113—21no—
169C2×C8×C113—21no—
170C2×C8×C113—21no—
171C2×C8×C113—21no—
172C2×C8×C113—21no—
173C2×C8×C113—21no—
174C2×C8×C113—21no—
175C2×C8×C113—21no—
176C2×C8×C113—21no—
177C2×C8×C113—21no—
178C2×C8×C113—21no—
179C4⋊C4×C113—24no—
180C4⋊C4×C113—21no—
181C4⋊C4×C113—21no—
182C4⋊C4×C113—21no—
183C4⋊C4×C113—21no—
184C4⋊C4×C113—21no—
185C4⋊C4×C113—21no—
186C4⋊C4×C113—21no—
187C4⋊C4×C113—21no—
188C4⋊C4×C113—21no—
189C4⋊C4×C113—42no—
190C4⋊C4×C113—42no—
191C4⋊C4×C113—42no—
192C4⋊C4×C113#4112yes—
193C4⋊C4×C113#4112yes—
194C4⋊C4×C113#4112yes—
195C22⋊C4×C113—24no—
196C22⋊C4×C113—22no—
197C22⋊C4×C113—22no—
198C22⋊C4×C113—42no—
199C22⋊C4×C113—42no—
200C22⋊C4×C113—42no—
201C22⋊C4×C113—42no—
202C22⋊C4×C113—42no—
203C22⋊C4×C113—42no—
204C22⋊C4×C113—81no—
205C42×C113—21no—
206C42×C113—21no—
207C42×C113—21no—
208C42×C113—21no—
209C42×C113—42no—
210C42×C113—42no—
211C42×C113—42no—
212C42×C113—42no—
213C23×C113—21no—
214C23×C113—21no—
215C23×C113—21no—
216C23×C113—21no—
217C23×C113—21no—
218C23×C113—21no—
219C23×C113—21no—
220C23×C113—41no—
221C23×C113—41no—
222C23×C113—41no—
223C23×C113—41no—
224C23×C113—41no—
225C23×C113—41no—
226C23×C113—41no—
227C23×C113C22×D411yescharacteristic
228Q8×C113—22no—
229Q8×C113—22no—
230Q8×C113—41no—
231Q8×C113—41no—
232Q8×C113—84no—
233D4×C113—41no—
234D4×C113—41no—
235D4×C113—41no—
236D4×C113—41no—
237D4×C113—84no—
238C2×C4×C113—21no—
239C2×C4×C113—21no—
240C2×C4×C113—21no—
241C2×C4×C113—21no—
242C2×C4×C113—22no—
243C2×C4×C113—22no—
244C2×C4×C113—21no—
245C2×C4×C113—21no—
246C2×C4×C113—21no—
247C2×C4×C113—22no—
248C2×C4×C113—21no—
249C2×C4×C113—21no—
250C2×C4×C113—22no—
251C2×C4×C113—21no—
252C2×C4×C113—21no—
253C2×C4×C113—21no—
254C2×C4×C113—21no—
255C2×C4×C113—41no—
256C2×C4×C113—41no—
257C2×C4×C113—41no—
258C2×C4×C113—41no—
259C2×C4×C113—41no—
260C2×C4×C113—41no—
261C2×C4×C113—41no—
262C2×C4×C113—41no—
263C2×C4×C113—41no—
264C2×C4×C113—41no—
265C2×C4×C113—41no—
266C2×C4×C113—41no—
267C2×C4×C113—41no—
268C2×C4×C113—41no—
269C2×C4×C113—41no—
270C2×C4×C113—41no—
271C2×C4×C113—41no—
272C2×C4×C113—41no—
273C2×C4×C113—41no—
274C2×C4×C113—41no—
275C2×C4×C113—41no—
276C2×C4×C113#13512yes—
277C2×C4×C113AGL(1,ℤ/8)12yes—
278C2×C4×C113C2×#4111yescharacteristic
279C2×C4×C113C2×#4111yescharacteristic
280C2×C4×C113C2×#4111yescharacteristic
281C2×C4×C113C2×#4111yescharacteristic
282C2×C4×C113H(5,𝔽2)11yescharacteristic
283C2×C4×C113H(5,𝔽2)11yescharacteristic
284C8×C113—41no—
285C8×C113—41no—
286C8×C113—41no—
287C8×C113—41no—
288C22×C113—41no—
289C22×C113—41no—
290C22×C113—41no—
291C22×C113—41no—
292C22×C113—41no—
293C22×C113—41no—
294C22×C113—41no—
295C22×C113—81no—
296C22×C113—81no—
297C22×C113—81no—
298C22×C113—81no—
299C22×C113—81no—
300C22×C113—81no—
301C22×C113—81no—
302C22×C113#52511yescharacteristic
303C22×C113#54611yescharacteristic
304C22×C113#54611yescharacteristic
305C22×C113C2×#13511yescharacteristic
306C22×C113C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C113#57711yescharacteristic
308C22×C113#57811yescharacteristic
309C4×C113—22no—
310C4×C113—22no—
311C4×C113—42no—
312C4×C113—41no—
313C4×C113—42no—
314C4×C113—41no—
315C4×C113—42no—
316C4×C113—41no—
317C4×C113—42no—
318C4×C113—81no—
319C4×C113—81no—
320C4×C113—81no—
321C4×C113#52911yescharacteristic
322C4×C113#53811yescharacteristic
323C4×C113#55511yescharacteristic
324C4×C113#55911yescharacteristic
325#26733C11311yesmaximal, characteristic, direct product factor, Sylow
326C2×C113—81no—
327C2×C113—161no—
328C2×C113#245911yescharacteristic
329C2×C113#310611yescharacteristic
330C2×C113#312111yescharacteristic
331C2×C113#330011yescharacteristic
332C2×C113#330311yescharacteristic
333C2×C113#330811yescharacteristic
334C2×C113#332411yescharacteristic
335#2491C2×C11311yescharacteristic
336#2362C2×C11311yescharacteristic, complemented
337#2055C2×C11311yescharacteristic, complemented
338#2036C2×C11311yescharacteristic, complemented
339#2024C2×C11311yescharacteristic, complemented
340#2000C2×C11311yescharacteristic
341#1987C2×C11311yescharacteristic, complemented
342#1934C2×C11311yescharacteristic, complemented
343#1925C2×C11311yescharacteristic, complemented
344#1923C2×C11311yescharacteristic, complemented
345#1918C2×C11311yescharacteristic, complemented
346#1880C2×C11311yescharacteristic, complemented
347#1875C2×C11311yescharacteristic
348#1825C2×C11311yescharacteristic, complemented
349C4×#103C2×C11311yescharacteristic, complemented
350C113#2673311yescharacteristic, direct product factor, Sylow
351C22×SD16C22×C11311yescharacteristic
352C2×C4⋊Q8C22×C11311yescharacteristic
353C2×#124—21no—
354C2×C22⋊Q8C22×C11311yescharacteristic
355C2×#121C22×C11311yescharacteristic
356C2×C4×Q8C22×C11311yescharacteristic
357C2×#117C22×C11311yescharacteristic
358C2×#107C22×C11311yescharacteristic
359C2×C4⋊C8C22×C11311yescharacteristic
360C2×#103C22×C11311yescharacteristic
361C2×#103C22×C11311yescharacteristic
362C2×#103C22×C11311yescharacteristic
363C2×#102C22×C11311yescharacteristic
364C2×#102C22×C11311yescharacteristic
365C2×#102C22×C11311yescharacteristic
366C2×C22⋊C8C22×C11311yescharacteristic
367C2×C22⋊C8C22×C11311yescharacteristic
368C2×C4×C8C22×C11311yescharacteristic
369#394—21no—
370#393—21no—
371#391C22×C11311yescharacteristic
372#390C22×C11311yescharacteristic
373#390C22×C11311yescharacteristic
374#389C22×C11311yescharacteristic
375#388—21no—
376#388—21no—
377#388—21no—
378#387—21no—
379#380C22×C11311yescharacteristic
380C4×C4⋊C4—21no—
381C4×C4⋊C4C22×C11311yescharacteristic
382C4×C4⋊C4C22×C11311yescharacteristic
383C4×C22⋊C4C22×C11311yescharacteristic
384#340C22×C11311yescharacteristic
385#340C22×C11311yescharacteristic
386#340C22×C11311yescharacteristic
387#340C22×C11311yescharacteristic
388#340C22×C11311yescharacteristic
389#340C22×C11311yescharacteristic
390#340C22×C11311yescharacteristic
391#340C22×C11311yescharacteristic
392#336C22×C11311yescharacteristic
393#336C22×C11311yescharacteristic
394C22×Q8—21no—
395C22×Q8C23×C11311yescharacteristic
396C22×D4—21no—
397C22×D4C23×C11311yescharacteristic
398C23×C4C23×C11311yescharacteristic
399C2×SD16—22no—
400C2×SD16—41no—
401C2×SD16—41no—
402C22×C8C23×C11311yescharacteristic
403C22×C8C23×C11311yescharacteristic
404C22×C8C23×C11311yescharacteristic
405C22×C8C23×C11311yescharacteristic
406C4⋊Q8—22no—
407C4⋊Q8—41no—
408#124—44no—
409C22⋊Q8—22no—
410C22⋊Q8—22no—
411#121—22no—
412#121—41no—
413C4×Q8—22no—
414C4×Q8—41no—
415#117—22no—
416#117—41no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4C23×C11311yescharacteristic
422C2×C4⋊C4C23×C11311yescharacteristic
423C2×C4⋊C4C23×C11311yescharacteristic
424C2×C4⋊C4C23×C11311yescharacteristic
425C2×C4⋊C4C23×C11311yescharacteristic
426C2×C4⋊C4C23×C11311yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4D4×C11311yescharacteristic
436C2×C22⋊C4D4×C11311yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42C23×C11311yescharacteristic
442C2×C42C23×C11311yescharacteristic
443#107—22no—
444C4⋊C8—41no—
445#103—22no—
446#103—22no—
447#103—41no—
448#102—22no—
449#102—22no—
450#102—41no—
451C22⋊C8—41no—
452C22⋊C8—41no—
453C4×C8—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95D4×C11311yescharacteristic
461#95D4×C11311yescharacteristic
462C24—21no—
463C24C2×D4×C11311yescharacteristic
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—81no—
472C2×Q8#41×C11312yes—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—81no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4C2×D4×C11311yescharacteristic
496C22×C4C2×D4×C11311yescharacteristic
497C22×C4C2×D4×C11311yescharacteristic
498C22×C4C2×D4×C11311yescharacteristic
499C22×C4C2×D4×C11311yescharacteristic
500C22×C4C24×C11311yescharacteristic
501SD16—44no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C4⋊C4—24no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4#41×C11312yes—
528C4⋊C4#41×C11312yes—
529C4⋊C4#41×C11312yes—
530C22⋊C4—24no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—81no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—42no—
545C42—42no—
546C42—42no—
547C42—42no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23C22×D4×C11311yescharacteristic
563Q8—22no—
564Q8—22no—
565Q8—41no—
566Q8—41no—
567Q8—84no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—84no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4#135×C11312yes—
612C2×C4AGL(1,ℤ/8)×C11312yes—
613C2×C4C2×#41×C11311yescharacteristic
614C2×C4C2×#41×C11311yescharacteristic
615C2×C4C2×#41×C11311yescharacteristic
616C2×C4C2×#41×C11311yescharacteristic
617C2×C4H(5,𝔽2)×C11311yescharacteristic
618C2×C4H(5,𝔽2)×C11311yescharacteristic
619C8—41no—
620C8—41no—
621C8—41no—
622C8—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22#525×C11311yescharacteristic
638C22#546×C11311yescharacteristic
639C22#546×C11311yescharacteristic
640C22C2×#135×C11311yescharacteristic
641C22C2×AGL(1,ℤ/8)×C11311yescharacteristic
642C22#577×C11311yescharacteristic
643C22#578×C11311yescharacteristic
644C4—22no—
645C4—22no—
646C4—41no—
647C4—42no—
648C4—41no—
649C4—42no—
650C4—42no—
651C4—41no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4#529×C11311yescharacteristic
657C4#538×C11311yescharacteristic
658C4#555×C11311yescharacteristic
659C4#559×C11311yescharacteristic
660C2—81no—
661C2—161no—
662C2C113×#245911yescharacteristic
663C2C113×#310611yescharacteristic
664C2C113×#312111yescharacteristic
665C2C113×#330011yescharacteristic
666C2C113×#330311yescharacteristic
667C2C113×#330811yescharacteristic
668C2C113×#332411yescharacteristic
subgroupG/H
center, socleC23×C113C22×D4
commutator, Frattini, cosocleC22×C4C24×C113
prime radicalC2×#121×C113C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C113 ◁ C4×C22⋊C4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
2. C113×#2362C2semidirect
3. C113×#2055C2semidirect
4. C113×#2036C2semidirect
5. C113×#2024C2semidirect
7. C113×#1987C2semidirect
8. C113×#1934C2semidirect
9. C113×#1925C2semidirect
10. C113×#1923C2semidirect
11. C113×#1918C2semidirect
12. C113×#1880C2semidirect
14. C113×#1825C2semidirect
15. C4×#103×C113C2semidirect
325. #26733C113direct (N × H)
336. #2362C2×C113semidirect
337. #2055C2×C113semidirect
338. #2036C2×C113semidirect
339. #2024C2×C113semidirect
341. #1987C2×C113semidirect
342. #1934C2×C113semidirect
343. #1925C2×C113semidirect
344. #1923C2×C113semidirect
345. #1918C2×C113semidirect
346. #1880C2×C113semidirect
348. #1825C2×C113semidirect
349. C4×#103C2×C113semidirect
350. C113#26733direct (N × H)

Maximal subgroups

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

subgroupindex
C113×#24912
C113×#23622
C113×#20552
C113×#20362
C113×#20242
C113×#20002
C113×#19872
C113×#19342
C113×#19252
C113×#19232
C113×#19182
C113×#18802
C113×#18752
C113×#18252
C4×#103×C1132
#26733113