Finite Group Databasebeta

← C113×#25198 #43293218

Subgroups — C113×#25198 #43293218

Order 28928.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#3069C211yesmaximal, characteristic, complemented
2C113×#3069C211yesmaximal, characteristic, complemented
3C113×#3020C211yesmaximal, characteristic
4C2×#456×C113C211yesmaximal, characteristic, complemented
5C113×#2956C211yesmaximal, characteristic, complemented
6C113×#2889C211yesmaximal, characteristic, complemented
7C113×#2070C211yesmaximal, characteristic, complemented
8C113×#2050C211yesmaximal, characteristic, complemented
9C113×#2049C211yesmaximal, characteristic, complemented
10C113×#2005C211yesmaximal, characteristic, complemented
11C113×#1966C211yesmaximal, characteristic, complemented
12C113×#1932C211yesmaximal, characteristic, complemented
13C113×#1915C211yesmaximal, characteristic, complemented
14C113×#1902C211yesmaximal, characteristic, complemented
15C113×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C113C2211yescharacteristic
17#575×C113C2211yescharacteristic
18#575×C113C2211yescharacteristic
19C2×#137×C113C2211yescharacteristic
20C2×#137×C113C2211yescharacteristic
21C2×#137×C113C2211yescharacteristic
22#568×C113C2211yescharacteristic
23#568×C113C2211yescharacteristic
24#568×C113C2211yescharacteristic
25#536×C113C2211yescharacteristic
26C2×C4⋊Q8×C113C2211yescharacteristic
27#473×C113—22no—
28#473×C113—22no—
29#471×C113—22no—
30#471×C113—22no—
31#456×C113—22no—
32#456×C113—22no—
33#456×C113—22no—
34#454×C113—22no—
35#444×C113—22no—
36#443×C113—22no—
37#430×C113C2211yescharacteristic
38#430×C113C2211yescharacteristic
39#430×C113C2211yescharacteristic
40#423×C113C2211yescharacteristic
41#421×C113C2211yescharacteristic
42#421×C113C2211yescharacteristic
43C2×#104×C113C2211yescharacteristic
44C2×#104×C113C2211yescharacteristic
45C2×#104×C113C2211yescharacteristic
46#419×C113C2211yescharacteristic
47#413×C113—22no—
48#413×C113C2211yescharacteristic
49#413×C113C2211yescharacteristic
50#413×C113C2211yescharacteristic
51C2×#101×C113—22no—
52C2×#101×C113C2211yescharacteristic
53C2×#101×C113C2211yescharacteristic
54C2×#101×C113C2211yescharacteristic
55C2×#101×C113C2211yescharacteristic
56C2×#101×C113C2211yescharacteristic
57C2×#101×C113C2211yescharacteristic
58C4×M16×C113C2211yescharacteristic
59#344×C113C2211yescharacteristic
60#344×C113C2211yescharacteristic
61#339×C113C2211yescharacteristic
62#338×C113C2211yescharacteristic
632−1+4×C113—22no—
642−1+4×C113—22no—
652−1+4×C113—41no—
662−1+4×C113—41no—
67C2×#41×C113—21no—
68C2×#41×C113—21no—
69C2×#41×C113—22no—
70C2×#41×C113C2311yescharacteristic
71C2×#41×C113C2311yescharacteristic
72C2×#41×C113C2311yescharacteristic
73C22×Q8×C113—21no—
74C22×Q8×C113—21no—
75C22×Q8×C113C2311yescharacteristic
76C22×Q8×C113C2311yescharacteristic
77#137×C113—21no—
78#137×C113—22no—
79#137×C113—22no—
80#137×C113—21no—
81#137×C113—21no—
82#137×C113—22no—
83#137×C113—22no—
84#137×C113—41no—
85#137×C113—41no—
86#137×C113D412yes—
87AGL(1,ℤ/8)×C113—21no—
88AGL(1,ℤ/8)×C113—21no—
89AGL(1,ℤ/8)×C113—21no—
90AGL(1,ℤ/8)×C113D412yes—
91#135×C113—22no—
92#135×C113—41no—
93C2×Q16×C113—21no—
94C2×Q16×C113—21no—
95C2×Q16×C113—21no—
96C2×SD16×C113—21no—
97C2×SD16×C113—21no—
98C2×SD16×C113—21no—
99#131×C113—22no—
100#131×C113—22no—
101#131×C113—22no—
102#131×C113—22no—
103#131×C113—41no—
104#131×C113—41no—
105C2×M16×C113—22no—
106C2×M16×C113—22no—
107C2×M16×C113—41no—
108C2×M16×C113C2311yescharacteristic
109C2×M16×C113C2311yescharacteristic
110C2×M16×C113C2311yescharacteristic
111C2×M16×C113C2311yescharacteristic
112C2×M16×C113C2311yescharacteristic
113C2×M16×C113C2311yescharacteristic
114C2×M16×C113C2311yescharacteristic
115C2×M16×C113C2311yescharacteristic
116C4⋊Q8×C113—21no—
117C4⋊Q8×C113—21no—
118C4⋊Q8×C113—21no—
119C4⋊Q8×C113—41no—
120#124×C113—21no—
121#123×C113—22no—
122C22⋊Q8×C113—41no—
123#117×C113C2311yescharacteristic
124C2×C4⋊C4×C113—22no—
125C2×C42×C113C2311yescharacteristic
126#108×C113—22no—
127#108×C113—22no—
128#108×C113—22no—
129C4⋊C8×C113—41no—
130#104×C113—22no—
131#104×C113—22no—
132#104×C113—21no—
133#104×C113—21no—
134#104×C113—21no—
135#104×C113—21no—
136#104×C113D412yes—
137#104×C113D412yes—
138#103×C113—41no—
139#101×C113—21no—
140#101×C113—21no—
141#101×C113—22no—
142#101×C113—22no—
143#101×C113—22no—
144#101×C113—22no—
145#101×C113—22no—
146#101×C113—22no—
147#101×C113D412yes—
148#100×C113—21no—
149#100×C113—21no—
150#100×C113D412yes—
151#97×C113—21no—
152C4×C8×C113—21no—
153#41×C113—21no—
154#41×C113—21no—
155#41×C113—21no—
156#41×C113—21no—
157#41×C113—21no—
158#41×C113—21no—
159#41×C113—21no—
160#41×C113—21no—
161#41×C113—21no—
162#41×C113—21no—
163#41×C113—42no—
164#41×C113—42no—
165#41×C113—44no—
166#41×C113—44no—
167#41×C113—42no—
168#41×C113—42no—
169#41×C113C2×D412yes—
170#41×C113C2×D412yes—
171C2×Q8×C113—22no—
172C2×Q8×C113—21no—
173C2×Q8×C113—21no—
174C2×Q8×C113—21no—
175C2×Q8×C113—21no—
176C2×Q8×C113—21no—
177C2×Q8×C113—21no—
178C2×Q8×C113—21no—
179C2×Q8×C113—21no—
180C2×Q8×C113—21no—
181C2×Q8×C113—21no—
182C2×Q8×C113—21no—
183C2×Q8×C113—21no—
184C2×Q8×C113—42no—
185C2×Q8×C113—42no—
186C2×Q8×C113—42no—
187C2×Q8×C113—42no—
188C2×Q8×C113C2×D411yescharacteristic
189C2×Q8×C113C2×D411yescharacteristic
190C2×Q8×C113#4111yescharacteristic
191C2×D4×C113—21no—
192C2×D4×C113—22no—
193C2×D4×C113—21no—
194C2×D4×C113—21no—
195C2×D4×C113C2×D411yescharacteristic
196C2×D4×C113C2×D411yescharacteristic
197C2×D4×C113#4111yescharacteristic
198C22×C4×C113—21no—
199C22×C4×C113—22no—
200C22×C4×C113—22no—
201C22×C4×C113—21no—
202C22×C4×C113—21no—
203C22×C4×C113—21no—
204C22×C4×C113—21no—
205C22×C4×C113#4112yes—
206C22×C4×C113C2411yescharacteristic
207Q16×C113—22no—
208Q16×C113—42no—
209Q16×C113—42no—
210Q16×C113—41no—
211Q16×C113—42no—
212SD16×C113—22no—
213SD16×C113—22no—
214SD16×C113—42no—
215SD16×C113—42no—
216SD16×C113—41no—
217SD16×C113—41no—
218SD16×C113—42no—
219D8×C113—22no—
220D8×C113—41no—
221M16×C113—21no—
222M16×C113—21no—
223M16×C113—21no—
224M16×C113—21no—
225M16×C113—21no—
226M16×C113—21no—
227M16×C113—21no—
228M16×C113—21no—
229M16×C113—21no—
230M16×C113—21no—
231M16×C113—21no—
232M16×C113—21no—
233M16×C113—42no—
234M16×C113—42no—
235M16×C113—42no—
236M16×C113C2×D412yes—
237M16×C113C2×D412yes—
238M16×C113C2×D412yes—
239M16×C113C2×D412yes—
240C2×C8×C113—21no—
241C2×C8×C113—21no—
242C2×C8×C113—21no—
243C2×C8×C113—21no—
244C2×C8×C113—21no—
245C2×C8×C113—21no—
246C2×C8×C113—21no—
247C2×C8×C113—21no—
248C2×C8×C113—42no—
249C2×C8×C113—42no—
250C2×C8×C113—42no—
251C4⋊C4×C113—21no—
252C4⋊C4×C113—42no—
253C4⋊C4×C113—42no—
254C4⋊C4×C113—42no—
255C22⋊C4×C113—21no—
256C22⋊C4×C113—42no—
257C42×C113—21no—
258C42×C113—21no—
259C42×C113C2×D411yescharacteristic
260C42×C113C2×D411yescharacteristic
261C23×C113—21no—
262C23×C113—21no—
263C23×C113—21no—
264C23×C113C2×#4111yescharacteristic
265Q8×C113—21no—
266Q8×C113—21no—
267Q8×C113—21no—
268Q8×C113—21no—
269Q8×C113—21no—
270Q8×C113—44no—
271Q8×C113—41no—
272Q8×C113—41no—
273Q8×C113—41no—
274Q8×C113—41no—
275Q8×C113—41no—
276Q8×C113—41no—
277Q8×C113—41no—
278Q8×C113—41no—
279Q8×C113#12112yes—
280D4×C113—22no—
281D4×C113—22no—
282D4×C113—21no—
283D4×C113—21no—
284D4×C113—21no—
285D4×C113—21no—
286D4×C113—21no—
287D4×C113—44no—
288D4×C113—41no—
289D4×C113—41no—
290D4×C113—41no—
291D4×C113—41no—
292D4×C113#12112yes—
293C2×C4×C113—21no—
294C2×C4×C113—21no—
295C2×C4×C113—22no—
296C2×C4×C113—22no—
297C2×C4×C113—21no—
298C2×C4×C113—22no—
299C2×C4×C113—21no—
300C2×C4×C113—22no—
301C2×C4×C113—21no—
302C2×C4×C113—22no—
303C2×C4×C113—42no—
304C2×C4×C113—44no—
305C2×C4×C113—44no—
306C2×C4×C113—41no—
307C2×C4×C113—41no—
308C2×C4×C113—41no—
309C2×C4×C113—41no—
310C2×C4×C113—41no—
311C2×C4×C113—41no—
312C2×C4×C113—41no—
313C2×C4×C113—41no—
314C2×C4×C113C22×D411yescharacteristic
315C2×C4×C113C22×D411yescharacteristic
316C2×C4×C113C22×D411yescharacteristic
317C2×C4×C113C2×#4111yescharacteristic
318C2×C4×C113H(5,𝔽2)11yescharacteristic
319C2×C4×C113H(5,𝔽2)11yescharacteristic
320C8×C113—22no—
321C8×C113—22no—
322C8×C113—22no—
323C8×C113—22no—
324C8×C113—41no—
325C8×C113—41no—
326C8×C113—41no—
327C8×C113—41no—
328C22×C113—22no—
329C22×C113—41no—
330C22×C113—41no—
331C22×C113—41no—
332C22×C113—81no—
333C22×C113—81no—
334C22×C113—81no—
335C22×C113#52511yescharacteristic
336C22×C113#54611yescharacteristic
337C22×C113#54611yescharacteristic
338C4×C113—22no—
339C4×C113—22no—
340C4×C113—41no—
341C4×C113—42no—
342C4×C113—41no—
343C4×C113—41no—
344C4×C113—81no—
345C4×C113—81no—
346C4×C113C2×#12111yescharacteristic
347C4×C113#53811yescharacteristic
348C4×C113D4211yescharacteristic
349C4×C113D4211yescharacteristic
350#25198C11311yesmaximal, characteristic, direct product factor, Sylow
351C2×C113—21no—
352C2×C113—21no—
353C2×C113—21no—
354C2×C113—42no—
355C2×C113—81no—
356C2×C113—81no—
357C2×C113#242411yescharacteristic
358#3069C2×C11311yescharacteristic, complemented
359#3069C2×C11311yescharacteristic, complemented
360#3020C2×C11311yescharacteristic
361C2×#456C2×C11311yescharacteristic, complemented
362#2956C2×C11311yescharacteristic, complemented
363#2889C2×C11311yescharacteristic, complemented
364#2070C2×C11311yescharacteristic, complemented
365#2050C2×C11311yescharacteristic, complemented
366#2049C2×C11311yescharacteristic, complemented
367#2005C2×C11311yescharacteristic, complemented
368#1966C2×C11311yescharacteristic, complemented
369#1932C2×C11311yescharacteristic, complemented
370#1915C2×C11311yescharacteristic, complemented
371#1902C2×C11311yescharacteristic, complemented
372#1861C2×C11311yescharacteristic, complemented
373C113#2519811yescharacteristic, direct product factor, Sylow
374C2×2−1+4C22×C11311yescharacteristic
375#575C22×C11311yescharacteristic
376#575C22×C11311yescharacteristic
377C2×#137C22×C11311yescharacteristic
378C2×#137C22×C11311yescharacteristic
379C2×#137C22×C11311yescharacteristic
380#568C22×C11311yescharacteristic
381#568C22×C11311yescharacteristic
382#568C22×C11311yescharacteristic
383#536C22×C11311yescharacteristic
384C2×C4⋊Q8C22×C11311yescharacteristic
385#473—22no—
386#473—22no—
387#471—22no—
388#471—22no—
389#456—22no—
390#456—22no—
391#456—22no—
392#454—22no—
393#444—22no—
394#443—22no—
395#430C22×C11311yescharacteristic
396#430C22×C11311yescharacteristic
397#430C22×C11311yescharacteristic
398#423C22×C11311yescharacteristic
399#421C22×C11311yescharacteristic
400#421C22×C11311yescharacteristic
401C2×#104C22×C11311yescharacteristic
402C2×#104C22×C11311yescharacteristic
403C2×#104C22×C11311yescharacteristic
404#419C22×C11311yescharacteristic
405#413—22no—
406#413C22×C11311yescharacteristic
407#413C22×C11311yescharacteristic
408#413C22×C11311yescharacteristic
409C2×#101—22no—
410C2×#101C22×C11311yescharacteristic
411C2×#101C22×C11311yescharacteristic
412C2×#101C22×C11311yescharacteristic
413C2×#101C22×C11311yescharacteristic
414C2×#101C22×C11311yescharacteristic
415C2×#101C22×C11311yescharacteristic
416C4×M16C22×C11311yescharacteristic
417#344C22×C11311yescharacteristic
418#344C22×C11311yescharacteristic
419#339C22×C11311yescharacteristic
420#338C22×C11311yescharacteristic
4212−1+4—22no—
4222−1+4—22no—
4232−1+4—41no—
4242−1+4—41no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41C23×C11311yescharacteristic
429C2×#41C23×C11311yescharacteristic
430C2×#41C23×C11311yescharacteristic
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C23×C11311yescharacteristic
434C22×Q8C23×C11311yescharacteristic
435#137—21no—
436#137—22no—
437#137—22no—
438#137—21no—
439#137—21no—
440#137—22no—
441#137—22no—
442#137—41no—
443#137—41no—
444#137D4×C11312yes—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)D4×C11312yes—
449#135—22no—
450#135—41no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—22no—
461#131—41no—
462#131—41no—
463C2×M16—22no—
464C2×M16—22no—
465C2×M16—41no—
466C2×M16C23×C11311yescharacteristic
467C2×M16C23×C11311yescharacteristic
468C2×M16C23×C11311yescharacteristic
469C2×M16C23×C11311yescharacteristic
470C2×M16C23×C11311yescharacteristic
471C2×M16C23×C11311yescharacteristic
472C2×M16C23×C11311yescharacteristic
473C2×M16C23×C11311yescharacteristic
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—21no—
477C4⋊Q8—41no—
478#124—21no—
479#123—22no—
480C22⋊Q8—41no—
481#117C23×C11311yescharacteristic
482C2×C4⋊C4—22no—
483C2×C42C23×C11311yescharacteristic
484#108—22no—
485#108—22no—
486#108—22no—
487C4⋊C8—41no—
488#104—22no—
489#104—22no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104—21no—
494#104D4×C11312yes—
495#104D4×C11312yes—
496#103—41no—
497#101—21no—
498#101—21no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101—22no—
505#101D4×C11312yes—
506#100—21no—
507#100—21no—
508#100D4×C11312yes—
509#97—21no—
510C4×C8—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C11312yes—
528#41C2×D4×C11312yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C11311yescharacteristic
547C2×Q8C2×D4×C11311yescharacteristic
548C2×Q8#41×C11311yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4C2×D4×C11311yescharacteristic
554C2×D4C2×D4×C11311yescharacteristic
555C2×D4#41×C11311yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C11312yes—
564C22×C4C24×C11311yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C11312yes—
595M16C2×D4×C11312yes—
596M16C2×D4×C11312yes—
597M16C2×D4×C11312yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C11311yescharacteristic
618C42C2×D4×C11311yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C11311yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8#121×C11312yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4#121×C11312yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C11311yescharacteristic
673C2×C4C22×D4×C11311yescharacteristic
674C2×C4C22×D4×C11311yescharacteristic
675C2×C4C2×#41×C11311yescharacteristic
676C2×C4H(5,𝔽2)×C11311yescharacteristic
677C2×C4H(5,𝔽2)×C11311yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22#525×C11311yescharacteristic
694C22#546×C11311yescharacteristic
695C22#546×C11311yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×#121×C11311yescharacteristic
705C4#538×C11311yescharacteristic
706C4D42×C11311yescharacteristic
707C4D42×C11311yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C113×#242411yescharacteristic
subgroupG/H
center, socleC2×C113#2424
commutator, Frattini, cosocleC22×C4C24×C113
prime radicalC113×#3020C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C113 ◁ C22×C4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
1. C113×#3069C2semidirect
2. C113×#3069C2semidirect
4. C2×#456×C113C2semidirect
5. C113×#2956C2semidirect
6. C113×#2889C2semidirect
7. C113×#2070C2semidirect
8. C113×#2050C2semidirect
9. C113×#2049C2semidirect
10. C113×#2005C2semidirect
11. C113×#1966C2semidirect
12. C113×#1932C2semidirect
13. C113×#1915C2semidirect
14. C113×#1902C2semidirect
15. C113×#1861C2semidirect
350. #25198C113direct (N × H)
358. #3069C2×C113semidirect
359. #3069C2×C113semidirect
361. C2×#456C2×C113semidirect
362. #2956C2×C113semidirect
363. #2889C2×C113semidirect
364. #2070C2×C113semidirect
365. #2050C2×C113semidirect
366. #2049C2×C113semidirect
367. #2005C2×C113semidirect
368. #1966C2×C113semidirect
369. #1932C2×C113semidirect
370. #1915C2×C113semidirect
371. #1902C2×C113semidirect
372. #1861C2×C113semidirect
373. C113#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C113×#30692
C113×#30202
C2×#456×C1132
C113×#29562
C113×#28892
C113×#20702
C113×#20502
C113×#20492
C113×#20052
C113×#19662
C113×#19322
C113×#19152
C113×#19022
C113×#18612
#25198113