Finite Group Databasebeta

← #29686454

Subgroups — #29686454

Order 15616.

922 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455270C211yesmaximal, characteristic
2C2×#16839879C211yesmaximal, characteristic, complemented
3C2×#16839876C211yesmaximal, characteristic, complemented
4#21454527C211yesmaximal, characteristic, complemented
5#131×Dic61C211yesmaximal, characteristic, complemented
6#21446736C211yesmaximal, characteristic, complemented
7#21446593C211yesmaximal, characteristic, complemented
8#21446468C211yesmaximal, characteristic, complemented
9#21446464C211yesmaximal, characteristic, complemented
10#21446146C211yesmaximal, characteristic, complemented
11#21445837C211yesmaximal, characteristic, complemented
12#21445680C211yesmaximal, characteristic, complemented
13#21445657C211yesmaximal, characteristic, complemented
14#21445655C211yesmaximal, characteristic, complemented
15C61×#1876C211yesmaximal, characteristic, complemented
16C2×#14519797C2211yescharacteristic
17C2×#14519785C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C2×#14519784C2211yescharacteristic
20#16840308C2211yescharacteristic
21#41×Dic61C2211yescharacteristic
22#16839986C411yescharacteristic, complemented
23#16839982C411yescharacteristic, complemented
24#16839979C411yescharacteristic, complemented
25#16839975C411yescharacteristic, complemented
26#16839970C411yescharacteristic, complemented
27#16839965C411yescharacteristic, complemented
28#16839960C411yescharacteristic, complemented
29#16839955C411yescharacteristic, complemented
30#16839879—24no—
31#16839876—24no—
32#16839837—21no—
33#16839837—21no—
34#16839825—21no—
35#16839825—21no—
36C2×#14519713C2211yescharacteristic
37C2×#14519712C2211yescharacteristic
38#16839785C2211yescharacteristic
39C2×#14519706C2211yescharacteristic
40C2×#14519705C2211yescharacteristic
41C2×#14519704C2211yescharacteristic
42C2×#14519704C2211yescharacteristic
43C2×#14519703C2211yescharacteristic
44#16839759C2211yescharacteristic
45#16839758C2211yescharacteristic
46#16839728C2211yescharacteristic
47#16839720—21no—
48#16839720C2211yescharacteristic
49#16839717—21no—
50#16839717C2211yescharacteristic
51M16×Dic61—21no—
52M16×Dic61C2211yescharacteristic
53C2×C4×#92418C2211yescharacteristic
54C2×C8×Dic61—21no—
55C2×C8×Dic61C2211yescharacteristic
56C2×C8×Dic61C2211yescharacteristic
57C4×#11758196C2211yescharacteristic
58#16839526C2211yescharacteristic
59#16839523C2211yescharacteristic
60#16839522C2211yescharacteristic
61#16839516C2211yescharacteristic
62C2×#135×C61C2211yescharacteristic
63C2×#131×C61C2211yescharacteristic
64C2×#104×C61C2211yescharacteristic
65C2×#104×C61C2211yescharacteristic
66C61×#408C2211yescharacteristic
67C61×#341C2211yescharacteristic
68C61×#336C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70#14519797—22no—
71#14519797—22no—
72C2×#11758202C2×C411yescharacteristic
73C2×#11758200C2×C411yescharacteristic
74C2×#11758201C2×C411yescharacteristic
75C2×#11758199C2×C411yescharacteristic
76#14519785—22no—
77#14519785—22no—
78#14519784—22no—
79#14519784—22no—
80#14519784—22no—
81#14519784D414yescomplemented
82C2×#11758194—21no—
83C2×#11758194—21no—
84C2×#11758194C2311yescharacteristic
85C2×#11758194C2311yescharacteristic
86C2×#11758189—21no—
87C22×#92418—21no—
88C22×#92418—21no—
89C22×#92418C2311yescharacteristic
90C22×#92418C2311yescharacteristic
91C2×C8×D61—21no—
92#14519775C2×C411yescharacteristic
93#14519773C2×C411yescharacteristic
94#14519766C2×C411yescharacteristic
95#14519764C2×C411yescharacteristic
96#14519749—21no—
97#14519749—21no—
98Q8×Dic61C2×C411yescharacteristic
99Q8×Dic61C2×C411yescharacteristic
100D4×Dic61—21no—
101D4×Dic61—21no—
102D4×Dic61C2×C411yescharacteristic
103D4×Dic61C2×C411yescharacteristic
104C4×C22⋊D61—21no—
105C4×C22⋊D61—21no—
106#14519736—21no—
107#14519736C2311yescharacteristic
108C2×#11758196—21no—
109C2×C4×Dic61—21no—
110C2×C4×Dic61C2311yescharacteristic
111C2×C4×Dic61C2311yescharacteristic
112#14519713—22no—
113#14519712—22no—
114#14519706—21no—
115#14519706—21no—
116#14519706C2×C411yescharacteristic
117#14519706C2×C411yescharacteristic
118#14519706C2×C411yescharacteristic
119#14519706C2×C411yescharacteristic
120#14519705—22no—
121#14519704—22no—
122#14519704—22no—
123#14519703—22no—
124#14519702C2×C411yescharacteristic
125#14519702C2×C411yescharacteristic
126#14519701C2×C411yescharacteristic
127#14519701C2×C411yescharacteristic
128#14519699C2×C411yescharacteristic
129#14519699C2×C411yescharacteristic
130#14519698C2×C411yescharacteristic
131#14519698C2×C411yescharacteristic
132#14519689—21no—
133#14519689—21no—
134#14519687—21no—
135#14519687—21no—
136#14519687—21no—
137C4×#92418—22no—
138C8×Dic61—21no—
139C8×Dic61—21no—
140C8×Dic61—21no—
141C8×Dic61—22no—
142C8×Dic61D411yescharacteristic
143C8×Dic61D411yescharacteristic
144C8×Dic61D411yescharacteristic
145C8×Dic61D411yescharacteristic
146#14519684—21no—
147C2×#41×C61C2311yescharacteristic
148C2×#41×C61C2311yescharacteristic
149#135×C61—22no—
150#135×C61—22no—
151C2×Q16×C61C2×C411yescharacteristic
152C2×SD16×C61C2×C411yescharacteristic
153C2×SD16×C61C2×C411yescharacteristic
154C2×D8×C61C2×C411yescharacteristic
155#131×C61—22no—
156#131×C61—22no—
157C2×M16×C61—21no—
158C2×M16×C61C2311yescharacteristic
159C2×M16×C61C2311yescharacteristic
160C22×C8×C61—21no—
161C22×C8×C61C2311yescharacteristic
162C22×C8×C61C2311yescharacteristic
163C2×C42×C61C2311yescharacteristic
164#104×C61—22no—
165#104×C61—22no—
166C22⋊C8×C61—21no—
167C22⋊C8×C61—21no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172#41×C61—21no—
173#41×C61—21no—
174#41×C61C2×D412yes—
175#41×C61#4112yes—
176C2×Q8×C61C22×C411yescharacteristic
177C2×Q8×C61C22×C411yescharacteristic
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61C22×C411yescharacteristic
181C2×D4×C61C22×C411yescharacteristic
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61—21no—
185C22×C4×C61C2411yescharacteristic
186C2×C22⋊D61—21no—
187C2×C22⋊D61—21no—
188C2×C22⋊D61—21no—
189C22×Dic61—21no—
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61#4111yescharacteristic
193C22×Dic61#4111yescharacteristic
194#11758222—21no—
195#11758222—21no—
196#11758222—21no—
197#11758222—21no—
198C2×D244C22×C411yescharacteristic
199C2×C4×D61—21no—
200C2×Dic122C22×C411yescharacteristic
201Q16×C61—22no—
202SD16×C61—22no—
203SD16×C61—22no—
204D8×C61—22no—
205M16×C61—24no—
206M16×C61—21no—
207M16×C61—21no—
208M16×C61—21no—
209M16×C61#4112yes—
210C2×C8×C61—24no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61C22×C411yescharacteristic
218C2×C8×C61C22×C411yescharacteristic
219C2×C8×C61C2×D411yescharacteristic
220C2×C8×C61C2×D411yescharacteristic
221C42×C61—21no—
222C42×C61—21no—
223C22⋊Dic61—21no—
224C22⋊Dic61—21no—
225C22⋊Dic61—21no—
226C22⋊Dic61—21no—
227C22⋊Dic61—21no—
228#11758202—22no—
229#11758201—22no—
230#11758200—22no—
231#11758199—22no—
232#11758198—21no—
233#11758198—21no—
234C4⋊Dic61—21no—
235C4⋊Dic61—21no—
236C4⋊Dic61C22×C411yescharacteristic
237C4⋊Dic61C22×C411yescharacteristic
238#11758196—24no—
239#11758196—21no—
240#11758196—21no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—21no—
244C4×Dic61—21no—
245C4×Dic61—21no—
246C4×Dic61C22×C411yescharacteristic
247C4×Dic61C22×C411yescharacteristic
248C4×Dic61C2×D411yescharacteristic
249C4×Dic61C2×D411yescharacteristic
250#11758194—21no—
251#11758194—24no—
252#11758194—21no—
253#11758194—21no—
254#11758194—42no—
255#11758194C2×D412yes—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—24no—
260C2×#92418—21no—
261C2×#92418—42no—
262C2×#92418C22×C411yescharacteristic
263C2×#92418C22×C411yescharacteristic
264C2×#92418C2×D411yescharacteristic
265C2×#92418C2×D412yes—
266C2×#92418C2×D411yescharacteristic
267C2×#92418#4112yes—
268#11758189—42no—
269C8×D61—42no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61C2×#4111yescharacteristic
273C22×D61—21no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61C4×D412yes—
278D4×C61—22no—
279D4×C61—22no—
280D4×C61—21no—
281D4×C61—21no—
282D4×C61—21no—
283D4×C61—41no—
284D4×C61—41no—
285D4×C61C4×D412yes—
286C2×C4×C61—21no—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—22no—
290C2×C4×C61—21no—
291C2×C4×C61—41no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61C23×C411yescharacteristic
296C2×C4×C61C22×D411yescharacteristic
297C2×C4×C61C22×D411yescharacteristic
298C2×C4×C61C2×#4111yescharacteristic
299C2×C4×C61C2×#4111yescharacteristic
300C2×C4×C61C2×#4111yescharacteristic
301C22⋊D61—42no—
302C22⋊D61—41no—
303C22⋊D61—41no—
304C22⋊D61—42no—
305C2×Dic61—22no—
306C2×Dic61—22no—
307C2×Dic61—21no—
308C2×Dic61—21no—
309C2×Dic61—21no—
310C2×Dic61—41no—
311C2×Dic61—42no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314C2×Dic61—42no—
315C2×Dic61C4×D411yescharacteristic
316C2×Dic61C4×D411yescharacteristic
317C2×Dic61C4×D411yescharacteristic
318C2×Dic61C4×D411yescharacteristic
319D244—21no—
320D244—21no—
321C4×D61—41no—
322C4×D61—41no—
323Dic122—21no—
324Dic122—21no—
325C8×C61—21no—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—22no—
329C8×C61—21no—
330C8×C61—41no—
331#92418—21no—
332#92418—21no—
333#92418—22no—
334#92418—41no—
335#92418#12112yes—
336#92418#12112yes—
337#21517—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—22no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61C2×C4×D411yescharacteristic
347C22×C61#52911yescharacteristic
348C22×C61#53211yescharacteristic
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—41no—
352C4×C61—22no—
353C4×C61—42no—
354C4×C61—41no—
355C4×C61C2×C4×D411yescharacteristic
356C4×C61C4×#4111yescharacteristic
357C4×C61C2×#12111yescharacteristic
358C4×C61#52511yescharacteristic
359Dic61—21no—
360Dic61—21no—
361Dic61—21no—
362Dic61—42no—
363Dic61—41no—
364Dic61—41no—
365Dic61—41no—
366Dic61#44312yescomplemented
367#3035—611no—
368C2×#443—611no—
369C2×#443—611no—
370#2931—611no—
371C4×#131—611no—
372#1980—611no—
373#1950—611no—
374#1929—611no—
375#1929—611no—
376#1876—611no—
377#1876D6111yescharacteristic, complemented
378#1806—611no—
379C8×C4⋊C4—611no—
380#1764—611no—
381#1764—611no—
382C2×C61—21no—
383C2×C61—21no—
384C2×C61—42no—
385C2×C61—81no—
386C2×C61C4×#12111yescharacteristic
387C2×C61C2×#44311yescharacteristic
388C2×C61#295511yescharacteristic
389D61—81no—
390C2×#135—611no—
391C2×#135C2×D6111yescharacteristic
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131C2×D6111yescharacteristic
396#532—611no—
397C4×#41—611no—
398#464—611no—
399#464—611no—
400#463—611no—
401#463—611no—
402#462—611no—
403#461—611no—
404#460—611no—
405#459—611no—
406#443—1224no—
407#443—1224no—
408#436—1221no—
409#436—1221no—
410C8×D4—1221no—
411C8×D4—1221no—
412C2×#108—611no—
413C2×#108—611no—
414#423—611no—
415C2×C4⋊C8—611no—
416C2×#104—611no—
417C2×#104—611no—
418C2×#104—611no—
419C2×#104—611no—
420C2×#104C2×D6111yescharacteristic
421C2×#104C2×D6111yescharacteristic
422#416—611no—
423#416—611no—
424#408—611no—
425#408C2×D6111yescharacteristic
426#405—611no—
427#405—611no—
428#405—1221no—
429#405—1221no—
430C4×M16—611no—
431C4×M16—1221no—
432C2×C4×C8—611no—
433C2×C4×C8—611no—
434C2×C4×C8—611no—
435C2×C4×C8—1221no—
436C4×C4⋊C4—611no—
437#341—611no—
438#341C2×D6111yescharacteristic
439#339—611no—
440#339—611no—
441#336—611no—
442#336C2×D6111yescharacteristic
443C61#2151711yescharacteristic, complemented, Sylow
444C2×#41—611no—
445C2×#41C22×D6111yescharacteristic
446C2×#41C22×D6111yescharacteristic
447#135—22no—
448#135—22no—
449#135—1222no—
450#135—1222no—
451C2×Q16—611no—
452C2×Q16C4×D6111yescharacteristic
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16C4×D6111yescharacteristic
456C2×SD16C4×D6111yescharacteristic
457C2×D8—611no—
458C2×D8C4×D6111yescharacteristic
459#131—22no—
460#131—22no—
461#131—614no—
462#131—1222no—
463#131—1222no—
464#131—1222no—
465#131—1222no—
466#131—1222no—
467C2×M16—21no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16C22×D6111yescharacteristic
474C2×M16C22×D6111yescharacteristic
475C22×C8—21no—
476C22×C8—611no—
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8—1221no—
480C22×C8—1221no—
481C22×C8C22×D6111yescharacteristic
482C22×C8C22×D6111yescharacteristic
483C4⋊Q8—611no—
484#127—611no—
485#124—611no—
486#124—611no—
487#121—1221no—
488#121—1221no—
489C4×Q8—611no—
490C4×Q8—611no—
491C4×D4—611no—
492C4×D4—611no—
493C4×D4—1221no—
494C4×D4—1221no—
495C4×D4—1221no—
496C4×D4—1221no—
497#117—611no—
498#117—1221no—
499C2×C4⋊C4—1221no—
500C2×C42—611no—
501C2×C42—611no—
502C2×C42—1221no—
503C2×C42C22×D6111yescharacteristic
504#108—1222no—
505#108—1222no—
506C4⋊C8—611no—
507C4⋊C8—611no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—1221no—
511C4⋊C8—1221no—
512#104—22no—
513#104—22no—
514#104—1222no—
515#104—1222no—
516#104—1222no—
517#104—1222no—
518#103—611no—
519#103—611no—
520#103—611no—
521#103—611no—
522#102—611no—
523#102—611no—
524#102—611no—
525#102—611no—
526C22⋊C8—21no—
527C22⋊C8—21no—
528C22⋊C8—1221no—
529C22⋊C8—1221no—
530#97—1221no—
531#97—1221no—
532#97—1221no—
533C4×C8—611no—
534C4×C8—611no—
535C4×C8—611no—
536C4×C8—611no—
537C4×C8—1222no—
538C4×C8—1221no—
539C4×C8—1222no—
540C4×C8—1221no—
541C4×C8—1221no—
542#95—1221no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41D4×D6112yes—
554#41#1175822412yes—
555C2×Q8—611no—
556C2×Q8C2×C4×D6111yescharacteristic
557C2×Q8C2×C4×D6111yescharacteristic
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—611no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4C2×C4×D6111yescharacteristic
565C2×D4C2×C4×D6111yescharacteristic
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—1221no—
575C22×C4C23×D6111yescharacteristic
576Q16—22no—
577Q16—1222no—
578SD16—22no—
579SD16—22no—
580SD16—1222no—
581SD16—1222no—
582D8—22no—
583D8—1222no—
584M16—24no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—612no—
589M16—1224no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—2442no—
594M16—2442no—
595M16#1175822412yes—
596C2×C8—24no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—612no—
604C2×C8—611no—
605C2×C8—611no—
606C2×C8—612no—
607C2×C8—611no—
608C2×C8—611no—
609C2×C8—1224no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—2442no—
615C2×C8—2442no—
616C2×C8C2×C4×D6111yescharacteristic
617C2×C8C2×C4×D6111yescharacteristic
618C2×C8D4×D6111yescharacteristic
619C2×C8D4×D6111yescharacteristic
620C4⋊C4—611no—
621C4⋊C4—611no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—1224no—
627C22⋊C4—1221no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C42—21no—
635C42—21no—
636C42—611no—
637C42—611no—
638C42—611no—
639C42—611no—
640C42—1221no—
641C42—1221no—
642C42—1221no—
643C42—1221no—
644C42—1221no—
645C23—21no—
646C23—21no—
647C23—1221no—
648C23#41×D6111yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—21no—
652Q8—1221no—
653Q8—1221no—
654Q8#1451973712yes—
655D4—22no—
656D4—22no—
657D4—21no—
658D4—21no—
659D4—21no—
660D4—41no—
661D4—41no—
662D4—1221no—
663D4—1221no—
664D4—2442no—
665D4—2442no—
666D4—2441no—
667D4—2441no—
668D4#1451973712yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—611no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—611no—
682C2×C4—1222no—
683C2×C4—1222no—
684C2×C4—1221no—
685C2×C4—1221no—
686C2×C4—1221no—
687C2×C4—2442no—
688C2×C4—2441no—
689C2×C4—2442no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4C22×C4×D6111yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4C2×D4×D6111yescharacteristic
697C2×C4#41×D6111yescharacteristic
698C2×C4C2×#1175822411yescharacteristic
699C2×C4C2×#1175822411yescharacteristic
700C8—21no—
701C8—21no—
702C8—21no—
703C8—22no—
704C8—21no—
705C8—41no—
706C8—612no—
707C8—612no—
708C8—1221no—
709C8—1221no—
710C8—1222no—
711C8—2441no—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—2441no—
721C22—2441no—
722C22—2441no—
723C22C4×D4×D6111yescharacteristic
724C22#1684028911yescharacteristic
725C22#1684030711yescharacteristic
726C4—22no—
727C4—42no—
728C4—41no—
729C4—612no—
730C4—1221no—
731C4—1221no—
732C4—1221no—
733C4—2442no—
734C4—2441no—
735C4—2441no—
736C4—2441no—
737C4C2×#1451973711yescharacteristic
738C4C4×#1175822411yescharacteristic
739C4#121×D6111yescharacteristic
740C4#1684026811yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—81no—
745C2—4881no—
746C2#2144832911yescharacteristic
747C2#443×D6111yescharacteristic
748C2#2145471911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1876C2
socleC22×C61C2×C4×D4
prime radical#21455270C2
cosocleC22×C4×C61C24
hypercenter#1876D61
hypocenterC61#21517
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1876

Complements

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

NH ≅ G/Ntype
2. C2×#16839879C2semidirect
3. C2×#16839876C2semidirect
4. #21454527C2semidirect
5. #131×Dic61C2semidirect
6. #21446736C2semidirect
7. #21446593C2semidirect
8. #21446468C2semidirect
9. #21446464C2semidirect
10. #21446146C2semidirect
11. #21445837C2semidirect
12. #21445680C2semidirect
13. #21445657C2semidirect
14. #21445655C2semidirect
15. C61×#1876C2semidirect
22. #16839986C4semidirect
23. #16839982C4semidirect
24. #16839979C4semidirect
25. #16839975C4semidirect
26. #16839970C4semidirect
27. #16839965C4semidirect
28. #16839960C4semidirect
29. #16839955C4semidirect
81. #14519784D4semidirect
366. Dic61#443semidirect
377. #1876D61semidirect
443. C61#21517semidirect

Maximal subgroups

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

subgroupindex
#214552702
C2×#168398792
C2×#168398762
#214545272
#131×Dic612
#214467362
#214465932
#214464682
#214464642
#214461462
#214458372
#214456802
#214456572
#214456552
C61×#18762
#2151761