Finite Group Databasebeta

← #29722561

Subgroups — #29722561

Order 15616.

870 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840025C211yesmaximal, characteristic, complemented
2#21455451C211yesmaximal, characteristic, complemented
3#21455440C211yesmaximal, characteristic
4C2×#16840008C211yesmaximal, characteristic, complemented
5C2×#16839811C211yesmaximal, characteristic, complemented
6#21447185C211yesmaximal, characteristic, complemented
7#21447178C211yesmaximal, characteristic, complemented
8#21447117C211yesmaximal, characteristic, complemented
9#21447110C211yesmaximal, characteristic, complemented
10#21446722C211yesmaximal, characteristic, complemented
11#21446604C211yesmaximal, characteristic, complemented
12#21446285C211yesmaximal, characteristic, complemented
13#21446280C211yesmaximal, characteristic, complemented
14#21445883C211yesmaximal, characteristic, complemented
15C61×#2930C211yesmaximal, characteristic, complemented
16C2×#14519807C2211yescharacteristic
17C2×#14519802C2211yescharacteristic
18C22×#11758190C2211yescharacteristic
19C22×#11758194C2211yescharacteristic
20C22×#11758194C2211yescharacteristic
21C2×#14519756C2211yescharacteristic
22C2×#14519751C2211yescharacteristic
23#16840025—24no—
24#16840018—21no—
25#16840013—21no—
26#16840010—21no—
27#16840008—21no—
28#16840008—21no—
29#16840008—21no—
30#16840008—21no—
31#16840006—21no—
32#16840001—21no—
33#16839996—21no—
34#16839993—21no—
35#16839989—21no—
36#16839811—24no—
37C2×#14519713C2211yescharacteristic
38C2×#14519713C2211yescharacteristic
39C2×#14519713C2211yescharacteristic
40C2×#14519713C2211yescharacteristic
41#16839805C2211yescharacteristic
42#16839805C2211yescharacteristic
43C2×#14519711C2211yescharacteristic
44#16839770C2211yescharacteristic
45#16839766C2211yescharacteristic
46#16839763C2211yescharacteristic
47#16839763C2211yescharacteristic
48C2×#14519702C2211yescharacteristic
49C2×#14519699C2211yescharacteristic
50C2×#14519695C2211yescharacteristic
51C2×#14519695C2211yescharacteristic
52C2×#14519693C2211yescharacteristic
53C2×#14519693C2211yescharacteristic
54#16839530C2211yescharacteristic
55#16839530C2211yescharacteristic
56#16839530C2211yescharacteristic
57#16839530C2211yescharacteristic
58C2×#131×C61C2211yescharacteristic
59C22×M16×C61C2211yescharacteristic
60C61×#525C2211yescharacteristic
61C61×#436—21no—
62C61×#436—21no—
63C61×#435—21no—
64C61×#435—21no—
65C61×#424C2211yescharacteristic
66C61×#408C2211yescharacteristic
67C61×#407C2211yescharacteristic
68C61×#405C2211yescharacteristic
69C22×Dic122C2311yescharacteristic
70C22×D244C2311yescharacteristic
71C22×C22⋊D61—21no—
72#14519807—22no—
73#14519807—41no—
74#14519802—22no—
75#14519802—41no—
76C2×#11758202—21no—
77C2×#11758190—21no—
78C2×#11758190—21no—
79C2×#11758190—22no—
80C2×#11758190—22no—
81C2×#11758200—21no—
82C2×#11758201—21no—
83C2×#11758199—21no—
84C2×#11758194—21no—
85C2×#11758194—21no—
86C2×#11758194—22no—
87C2×#11758194—22no—
88C2×#11758194—41no—
89C2×#11758194—41no—
90C2×#11758194C2311yescharacteristic
91C2×#11758194C2311yescharacteristic
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C22×#92418—21no—
95C22×#92418—21no—
96#14519756—21no—
97#14519756—21no—
98#14519756—21no—
99#14519756—21no—
100#14519751—21no—
101#14519751—21no—
102#14519751—21no—
103#14519751—21no—
104C2×C4⋊Dic61C2311yescharacteristic
105C2×C4⋊Dic61C2311yescharacteristic
106C2×#11758196—21no—
107C2×C22⋊Dic61—21no—
108C2×#11758198—21no—
109#14519713—22no—
110#14519713—22no—
111#14519713—22no—
112#14519713D414yescomplemented
113#14519711—21no—
114#14519711—21no—
115#14519710—21no—
116#14519710—21no—
117#14519708—21no—
118#14519708—21no—
119#14519702—21no—
120#14519702—21no—
121#14519701—21no—
122#14519701—21no—
123#14519700—21no—
124#14519700—21no—
125#14519699—21no—
126#14519699—21no—
127#14519698—21no—
128#14519698—21no—
129#14519697—21no—
130#14519697—21no—
131#14519695—22no—
132#14519695—41no—
133#14519693—22no—
134#14519693—41no—
135C2×#41×C61C2311yescharacteristic
136C23×C4×C61C2311yescharacteristic
137#131×C61—22no—
138#131×C61—22no—
139C2×M16×C61—22no—
140C2×M16×C61—21no—
141C2×M16×C61—22no—
142C2×M16×C61D411yescharacteristic
143C2×M16×C61D411yescharacteristic
144C2×M16×C61D411yescharacteristic
145C2×M16×C61D411yescharacteristic
146C2×M16×C61C2311yescharacteristic
147C2×M16×C61C2311yescharacteristic
148C22×C8×C61—21no—
149C22×C8×C61C2311yescharacteristic
150C22×C8×C61C2311yescharacteristic
151#123×C61—21no—
152C22⋊Q8×C61D411yescharacteristic
153C22⋊Q8×C61D411yescharacteristic
154#121×C61D411yescharacteristic
155#121×C61D411yescharacteristic
156#120×C61—21no—
157C4×D4×C61—21no—
158C4×D4×C61—21no—
159#117×C61C2311yescharacteristic
160C4⋊C8×C61—21no—
161C4⋊C8×C61—21no—
162C22⋊C8×C61—21no—
163C22⋊C8×C61—21no—
164C22⋊C8×C61—21no—
165C22⋊C8×C61—21no—
166#97×C61—21no—
167C4×C8×C61—21no—
168C24×C61#4111yescharacteristic
169C23×D61—21no—
170#41×C61—21no—
171#41×C61—21no—
172#41×C61—21no—
173#41×C61—21no—
174C2×Q8×C61C2×D411yescharacteristic
175C2×D4×C61—21no—
176C2×D4×C61—21no—
177C2×D4×C61—21no—
178C2×D4×C61C2×D411yescharacteristic
179C22×C4×C61—21no—
180C22×C4×C61—21no—
181C22×C4×C61—21no—
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2×D411yescharacteristic
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61#4111yescharacteristic
189C22×C4×C61C2411yescharacteristic
190C2×C22⋊D61—41no—
191C2×C22⋊D61—41no—
192C2×C22⋊D61—82no—
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244—21no—
199C2×D244—21no—
200C2×D244—21no—
201C2×D244—21no—
202C2×Dic122—21no—
203C2×Dic122—21no—
204C2×Dic122—21no—
205C2×Dic122—21no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208M16×C61—22no—
209M16×C61—22no—
210M16×C61—22no—
211M16×C61—22no—
212M16×C61—21no—
213M16×C61—21no—
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—42no—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—42no—
222C2×C8×C61C2×D411yescharacteristic
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D412yes—
225C2×C8×C61C2×D411yescharacteristic
226C2×C8×C61C2×D411yescharacteristic
227C2×C8×C61#4112yes—
228C4⋊C4×C61—21no—
229C4⋊C4×C61—21no—
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C22⋊C4×C61—21no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C42×C61—21no—
238C22⋊Dic61—41no—
239C22⋊Dic61—41no—
240#11758202—42no—
241#11758201—42no—
242#11758200—42no—
243#11758199—42no—
244#11758198—41no—
245#11758198—41no—
246C4⋊Dic61—21no—
247C4⋊Dic61—21no—
248C4⋊Dic61—21no—
249C4⋊Dic61—21no—
250#11758196—41no—
251#11758196—41no—
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—21no—
257#11758194—21no—
258#11758194—42no—
259#11758194—42no—
260#11758194C2×D412yes—
261#11758194C2×D412yes—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—42no—
267C2×#92418—42no—
268#11758190—42no—
269#11758190—42no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61—21no—
273C23×C61—41no—
274C23×C61—41no—
275C23×C61#12111yescharacteristic
276C23×C61#12111yescharacteristic
277C23×C61C2×#4111yescharacteristic
278C22×D61—41no—
279C22×D61—41no—
280C22×D61—41no—
281C22×D61—81no—
282C22×D61—81no—
283Q8×C61—21no—
284Q8×C61—21no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—41no—
288D4×C61—41no—
289D4×C61—81no—
290D4×C61—81no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—21no—
304C2×C4×C61—41no—
305C2×C4×C61—41no—
306C2×C4×C61#12111yescharacteristic
307C2×C4×C61#12111yescharacteristic
308C2×C4×C61C22×D411yescharacteristic
309C2×C4×C61C22×D411yescharacteristic
310C2×C4×C61C22×D411yescharacteristic
311C2×C4×C61C2×#4111yescharacteristic
312C2×C4×C61H(5,𝔽2)11yescharacteristic
313C2×C4×C612−1+411yescharacteristic
314C22⋊D61—82no—
315C22⋊D61—82no—
316C2×Dic61—41no—
317C2×Dic61—41no—
318C2×Dic61—41no—
319C2×Dic61—41no—
320C2×Dic61—41no—
321C2×Dic61—81no—
322C2×Dic61—81no—
323D244—41no—
324D244—41no—
325D244—41no—
326D244—41no—
327Dic122—41no—
328Dic122—41no—
329Dic122—41no—
330Dic122—41no—
331C8×C61—21no—
332C8×C61—21no—
333C8×C61—41no—
334C8×C61—41no—
335C8×C61#12112yes—
336C8×C61#12112yes—
337#92418—22no—
338#92418—22no—
339#92418—41no—
340#92418—41no—
341#24805—611nomaximal, Sylow
342C22×C61—21no—
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—21no—
346C22×C61—21no—
347C22×C61—21no—
348C22×C61—21no—
349C22×C61—21no—
350C22×C61—41no—
351C22×C61—41no—
352C22×C61—41no—
353C22×C61—81no—
354C22×C61—81no—
355C22×C61C2×#12111yescharacteristic
356C22×C61#54811yescharacteristic
357C22×C61#55311yescharacteristic
358C2×D61—81no—
359C2×D61—81no—
360C2×D61—81no—
361C2×D61—161no—
362C2×D61—161no—
363C4×C61—21no—
364C4×C61—21no—
365C4×C61—41no—
366C4×C61—41no—
367C4×C61—41no—
368C4×C61C2×#12111yescharacteristic
369C4×C61#53711yescharacteristic
370C4×C61D4211yescharacteristic
371C4×C61#54711yescharacteristic
372Dic61—81no—
373Dic61—81no—
374Dic61—81no—
375C2×#471—611no—
376#3056—611no—
377#3055—611no—
378C2×#468—611no—
379#2930D6111yescharacteristic, complemented
380C2×#430—611no—
381#2064—611no—
382#2063—611no—
383#2052—611no—
384#2051—611no—
385#1977—611no—
386#1952—611no—
387#1901—611no—
388#1900—611no—
389#1816—611no—
390C2×C61—21no—
391C2×C61—21no—
392C2×C61—41no—
393C2×C61—41no—
394C2×C61—81no—
395C2×C61#241611yescharacteristic
396C2×C61#306811yescharacteristic
397C2×C61#306911yescharacteristic
398D61—161no—
399C2×#137—611no—
400C2×AGL(1,ℤ/8)—611no—
401C22×SD16—611no—
402C2×#131C2×D6111yescharacteristic
403C22×M16—611no—
404C22×M16—611no—
405C22×M16C2×D6111yescharacteristic
406#525C2×D6111yescharacteristic
407C2×C22⋊Q8—611no—
408C2×#121—611no—
409#471—1224no—
410#470—1221no—
411#469—1221no—
412#468—1221no—
413#468—1221no—
414#468—1221no—
415#468—1221no—
416#468—1221no—
417#468—1221no—
418#467—1221no—
419#466—1221no—
420#465—1221no—
421#465—1221no—
422#436—21no—
423#436—21no—
424#435—21no—
425#435—21no—
426#430—1224no—
427C2×#108—611no—
428C2×#108—611no—
429C2×#108—611no—
430C2×#108—611no—
431#428—611no—
432#428—611no—
433C2×#107—611no—
434#424C2×D6111yescharacteristic
435#419—611no—
436#418—611no—
437#417—611no—
438#417—611no—
439C2×#103—611no—
440C2×#102—611no—
441C2×#101—611no—
442C2×#101—611no—
443C2×#100—611no—
444C2×#100—611no—
445#408C2×D6111yescharacteristic
446#407C2×D6111yescharacteristic
447#405C2×D6111yescharacteristic
448#343—611no—
449#343—611no—
450#343—611no—
451#343—611no—
452C61#2480511yescharacteristic, complemented, Sylow
453C2×#41C22×D6111yescharacteristic
454C22×Q8—611no—
455C22×D4—611no—
456C22×D4—1221no—
457C23×C4C22×D6111yescharacteristic
458#137—1222no—
459#137—2441no—
460AGL(1,ℤ/8)—1222no—
461AGL(1,ℤ/8)—2441no—
462C2×Q16—1221no—
463C2×SD16—1221no—
464C2×SD16—1221no—
465C2×SD16—1222no—
466C2×SD16—1222no—
467C2×SD16—1221no—
468C2×SD16—1221no—
469C2×D8—1221no—
470#131—22no—
471#131—22no—
472C2×M16—22no—
473C2×M16—22no—
474C2×M16—21no—
475C2×M16—611no—
476C2×M16—611no—
477C2×M16—611no—
478C2×M16—611no—
479C2×M16—1221no—
480C2×M16—1221no—
481C2×M16—1222no—
482C2×M16—1222no—
483C2×M16—2441no—
484C2×M16—2441no—
485C2×M16C22⋊D6111yescharacteristic
486C2×M16C22⋊D6111yescharacteristic
487C2×M16C22⋊D6111yescharacteristic
488C2×M16C22⋊D6111yescharacteristic
489C2×M16C22×D6111yescharacteristic
490C2×M16C22×D6111yescharacteristic
491C22×C8—21no—
492C22×C8—1221no—
493C22×C8—1221no—
494C22×C8C22×D6111yescharacteristic
495C22×C8C22×D6111yescharacteristic
496#123—21no—
497C22⋊Q8—1221no—
498C22⋊Q8—1221no—
499C22⋊Q8—1221no—
500C22⋊Q8—1221no—
501C22⋊Q8D24411yescharacteristic
502C22⋊Q8D24411yescharacteristic
503#121—1221no—
504#121—1221no—
505#121—1221no—
506#121—1221no—
507#121D24411yescharacteristic
508#121D24411yescharacteristic
509#120—21no—
510C4×D4—21no—
511C4×D4—21no—
512#117C22×D6111yescharacteristic
513C2×C4⋊C4—611no—
514C2×C4⋊C4—611no—
515C2×C4⋊C4—1221no—
516C2×C22⋊C4—1221no—
517C2×C22⋊C4—1221no—
518#108—614no—
519#108—1222no—
520#108—1222no—
521#108—1222no—
522#107—1221no—
523#107—1221no—
524#107—1221no—
525#107—1221no—
526#106—1221no—
527#106—1221no—
528C4⋊C8—21no—
529C4⋊C8—21no—
530#103—1221no—
531#103—1221no—
532#103—1221no—
533#103—1221no—
534#103—1221no—
535#103—1221no—
536#102—1221no—
537#102—1221no—
538#102—1221no—
539#102—1221no—
540#102—1221no—
541#102—1221no—
542#101—1222no—
543#101—2441no—
544#100—1222no—
545#100—2441no—
546C22⋊C8—21no—
547C22⋊C8—21no—
548C22⋊C8—21no—
549C22⋊C8—21no—
550#97—21no—
551C4×C8—21no—
552C24—1221no—
553C24#1175822211yescharacteristic
554#41—21no—
555#41—21no—
556#41—21no—
557#41—21no—
558C2×Q8—1221no—
559C2×Q8—1221no—
560C2×Q8—1221no—
561C2×Q8—1221no—
562C2×Q8—1221no—
563C2×Q8—1221no—
564C2×Q8C2×D24411yescharacteristic
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4—1221no—
571C2×D4—1221no—
572C2×D4—1221no—
573C2×D4—1221no—
574C2×D4—4882no—
575C2×D4—2441no—
576C2×D4—2441no—
577C2×D4C2×D24411yescharacteristic
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—1221no—
584C22×C4—1221no—
585C22×C4—1221no—
586C22×C4C2×D24411yescharacteristic
587C22×C4C2×D24411yescharacteristic
588C22×C4#1175822211yescharacteristic
589C22×C4C2×C22⋊D6111yescharacteristic
590C22×C4C2×C22⋊D6111yescharacteristic
591C22×C4C23×D6111yescharacteristic
592Q16—2442no—
593SD16—2442no—
594SD16—2442no—
595SD16—2442no—
596SD16—2442no—
597D8—2442no—
598M16—22no—
599M16—22no—
600M16—22no—
601M16—22no—
602M16—21no—
603M16—21no—
604M16—21no—
605M16—21no—
606M16—42no—
607M16—612no—
608M16—612no—
609M16—1221no—
610M16—1221no—
611M16—1221no—
612M16—1221no—
613M16—1221no—
614M16—1221no—
615M16—2442no—
616M16—2442no—
617C2×C8—21no—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—42no—
622C2×C8—1221no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—1221no—
626C2×C8—2442no—
627C2×C8—2442no—
628C2×C8D4×D6112yes—
629C2×C8#1175822412yes—
630C2×C8C2×C22⋊D6111yescharacteristic
631C2×C8C2×C22⋊D6111yescharacteristic
632C2×C8C2×C22⋊D6111yescharacteristic
633C2×C8C2×C22⋊D6111yescharacteristic
634C4⋊C4—21no—
635C4⋊C4—21no—
636C4⋊C4—1221no—
637C4⋊C4—1221no—
638C4⋊C4—1221no—
639C4⋊C4—1221no—
640C4⋊C4—2441no—
641C4⋊C4—2441no—
642C4⋊C4C2×D24411yescharacteristic
643C4⋊C4C2×D24411yescharacteristic
644C22⋊C4—21no—
645C22⋊C4—21no—
646C22⋊C4—21no—
647C22⋊C4—21no—
648C22⋊C4—21no—
649C22⋊C4—2441no—
650C22⋊C4—2441no—
651C22⋊C4—2441no—
652C22⋊C4—2441no—
653C42—21no—
654C23—21no—
655C23—21no—
656C23—21no—
657C23—41no—
658C23—41no—
659C23—4881no—
660C23—4881no—
661C23—2441no—
662C23—2441no—
663C23—2441no—
664C23#1451975111yescharacteristic
665C23#1451975111yescharacteristic
666C23C2×#1175822211yescharacteristic
667Q8—21no—
668Q8—21no—
669Q8—2441no—
670Q8—2441no—
671Q8—2441no—
672Q8—2441no—
673D4—21no—
674D4—21no—
675D4—41no—
676D4—41no—
677D4—81no—
678D4—81no—
679D4—4882no—
680D4—4882no—
681D4—2441no—
682D4—2441no—
683D4—2441no—
684D4—2441no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—4881no—
701C2×C4—4881no—
702C2×C4—2441no—
703C2×C4—2441no—
704C2×C4—2441no—
705C2×C4—2441no—
706C2×C4—2441no—
707C2×C4#1451975111yescharacteristic
708C2×C4#1451975111yescharacteristic
709C2×C4C2×D4×D6111yescharacteristic
710C2×C4C22×C22⋊D6111yescharacteristic
711C2×C4C22×D24411yescharacteristic
712C2×C4C2×#1175822411yescharacteristic
713C2×C4#1451982311yescharacteristic
714C2×C4#1451982411yescharacteristic
715C8—21no—
716C8—21no—
717C8—41no—
718C8—41no—
719C8—1222no—
720C8—1222no—
721C8—2441no—
722C8—2441no—
723C8#1451974912yes—
724C8#1451974912yes—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—81no—
737C22—81no—
738C22—9761no—
739C22—9761no—
740C22—4881no—
741C22—4881no—
742C22—4881no—
743C22C2×#1451975111yescharacteristic
744C22#1684042111yescharacteristic
745C22#1684045811yescharacteristic
746C4—21no—
747C4—21no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—4881no—
752C4—4881no—
753C4—4881no—
754C4C2×#1451974911yescharacteristic
755C4#1684034011yescharacteristic
756C4D4×D24411yescharacteristic
757C4#1684041611yescharacteristic
758C2—21no—
759C2—21no—
760C2—41no—
761C2—41no—
762C2—81no—
763C2—9761no—
764C2#2144925911yescharacteristic
765C2#2145554711yescharacteristic
766C2#2145555611yescharacteristic
subgroupG/H
centerC22C2×#14519751
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2930C2
socleC22×C61C2×#121
prime radical#21455440C2
hypercenter#2930D61
hypocenterC61#24805
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2930

Complements

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

NH ≅ G/Ntype
1. C2×#16840025C2semidirect
2. #21455451C2semidirect
4. C2×#16840008C2semidirect
5. C2×#16839811C2semidirect
6. #21447185C2semidirect
7. #21447178C2semidirect
8. #21447117C2semidirect
9. #21447110C2semidirect
10. #21446722C2semidirect
11. #21446604C2semidirect
12. #21446285C2semidirect
13. #21446280C2semidirect
14. #21445883C2semidirect
15. C61×#2930C2semidirect
112. #14519713D4semidirect
379. #2930D61semidirect
452. C61#24805semidirect

Maximal subgroups

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

subgroupindex
C2×#168400252
#214554512
#214554402
C2×#168400082
C2×#168398112
#214471852
#214471782
#214471172
#214471102
#214467222
#214466042
#214462852
#214462802
#214458832
C61×#29302
#2480561