Finite Group Databasebeta

← #29686481

Subgroups — #29686481

Order 15616.

902 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#21455276C211yesmaximal, characteristic
2C2×#16839885C211yesmaximal, characteristic, complemented
3C2×#16839880C211yesmaximal, characteristic, complemented
4#21454538C211yesmaximal, characteristic, complemented
5#21454244C211yesmaximal, characteristic, complemented
6#21446737C211yesmaximal, characteristic, complemented
7#21446595C211yesmaximal, characteristic, complemented
8#21446468C211yesmaximal, characteristic, complemented
9#21446468C211yesmaximal, characteristic, complemented
10#21446145C211yesmaximal, characteristic, complemented
11#21446145C211yesmaximal, characteristic, complemented
12#21445840C211yesmaximal, characteristic, complemented
13#21445663C211yesmaximal, characteristic, complemented
14#21445656C211yesmaximal, characteristic, complemented
15C61×#1771C211yesmaximal, characteristic, complemented
16C2×#14519799C2211yescharacteristic
17C2×#14519799C2211yescharacteristic
18C2×#14519783C2211yescharacteristic
19C2×#14519783C2211yescharacteristic
20C2×#14519783C2211yescharacteristic
21C2×#14519783C2211yescharacteristic
22#16840312C2211yescharacteristic
23C4×#11758222C2211yescharacteristic
24#16839985C411yescharacteristic, complemented
25#16839985C411yescharacteristic, complemented
26#16839978C411yescharacteristic, complemented
27#16839978C411yescharacteristic, complemented
28#16839973C411yescharacteristic, complemented
29#16839968C411yescharacteristic, complemented
30#16839963C411yescharacteristic, complemented
31#16839958C411yescharacteristic, complemented
32#16839885—24no—
33#16839880—24no—
34#16839835—21no—
35#16839835—21no—
36#16839835—21no—
37#16839835—21no—
38C2×#14519713C2211yescharacteristic
39C2×#14519713C2211yescharacteristic
40#16839786C2211yescharacteristic
41C2×#14519705C2211yescharacteristic
42C2×#14519705C2211yescharacteristic
43C2×#14519705C2211yescharacteristic
44C2×#14519705C2211yescharacteristic
45C2×#14519705C2211yescharacteristic
46C2×#14519705C2211yescharacteristic
47#16839759C2211yescharacteristic
48#16839759C2211yescharacteristic
49#16839728C2211yescharacteristic
50#16839728C2211yescharacteristic
51#16839719—21no—
52#16839719—21no—
53#16839717C2211yescharacteristic
54#16839717C2211yescharacteristic
55C4×#11758194C2211yescharacteristic
56#16839714—21no—
57#97×D61—21no—
58#16839527C2211yescharacteristic
59#16839527C2211yescharacteristic
60#16839522C2211yescharacteristic
61#16839522C2211yescharacteristic
62C2×C4⋊C8×C61C2211yescharacteristic
63C2×#97×C61C2211yescharacteristic
64C2×#97×C61C2211yescharacteristic
65C2×C4×C8×C61C2211yescharacteristic
66C4×C4⋊C4×C61C2211yescharacteristic
67C61×#336C2211yescharacteristic
68C61×#336C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70C2×#11758222C2311yescharacteristic
71C2×#11758222C2311yescharacteristic
72#14519799—22no—
73#14519799—22no—
74#14519799—22no—
75#14519799—22no—
76C2×Dic244C2×C411yescharacteristic
77C2×Dic244C2×C411yescharacteristic
78C2×#11758190C2×C411yescharacteristic
79C2×#11758190C2×C411yescharacteristic
80C2×#11758190C2×C411yescharacteristic
81C2×#11758190C2×C411yescharacteristic
82C2×D488C2×C411yescharacteristic
83C2×D488C2×C411yescharacteristic
84#14519783—22no—
85#14519783—22no—
86#14519783—22no—
87#14519783—22no—
88#14519783—22no—
89#14519783—22no—
90#14519783—22no—
91#14519783D414yescomplemented
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C2×#11758194C2311yescharacteristic
95C2×#11758194C2311yescharacteristic
96C2×#11758189—21no—
97C2×#11758189—21no—
98C2×#11758189—21no—
99C2×#11758189—21no—
100C2×C8×D61—21no—
101C2×C8×D61—21no—
102C2×C8×D61—21no—
103C2×C8×D61—21no—
104#14519777C2×C411yescharacteristic
105#14519774C2×C411yescharacteristic
106#14519765C2×C411yescharacteristic
107#14519765C2×C411yescharacteristic
108#14519751—21no—
109#14519751—21no—
110C4×Dic122C2×C411yescharacteristic
111C4×Dic122C2×C411yescharacteristic
112C4×D244—21no—
113C4×D244—21no—
114C4×D244C2×C411yescharacteristic
115C4×D244C2×C411yescharacteristic
116C4×C22⋊D61—21no—
117C4×C22⋊D61—21no—
118#14519736C2311yescharacteristic
119#14519734—21no—
120C42×D61—21no—
121#14519713—22no—
122#14519713—22no—
123C4⋊#92418—21no—
124C4⋊#92418—21no—
125#14519705—22no—
126#14519705—22no—
127#14519705—22no—
128#14519705—22no—
129#14519705—22no—
130#14519705—22no—
131#14519702C2×C411yescharacteristic
132#14519702C2×C411yescharacteristic
133#14519702C2×C411yescharacteristic
134#14519702C2×C411yescharacteristic
135#14519699C2×C411yescharacteristic
136#14519699C2×C411yescharacteristic
137#14519699C2×C411yescharacteristic
138#14519699C2×C411yescharacteristic
139#14519689—21no—
140#14519689—21no—
141#14519689—21no—
142#14519689—21no—
143#14519688—21no—
144#14519687—21no—
145#14519687—21no—
146C4×#92418—21no—
147C8×Dic61—21no—
148C8×Dic61—21no—
149C22×C8×C61C2311yescharacteristic
150C22×C8×C61C2311yescharacteristic
151C22×C8×C61C2311yescharacteristic
152C22×C8×C61C2311yescharacteristic
153C2×C4⋊C4×C61—21no—
154C2×C42×C61C2311yescharacteristic
155C2×C42×C61C2311yescharacteristic
156C2×C42×C61C2311yescharacteristic
157C4⋊C8×C61C2×C411yescharacteristic
158C4⋊C8×C61C2×C411yescharacteristic
159C4⋊C8×C61C2×C411yescharacteristic
160C4⋊C8×C61C2×C411yescharacteristic
161#97×C61—22no—
162#97×C61D411yescharacteristic
163#97×C61D411yescharacteristic
164#97×C61D411yescharacteristic
165#97×C61D411yescharacteristic
166C4×C8×C61—22no—
167#95×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61#4111yescharacteristic
171C22×C4×C61#4111yescharacteristic
172C22×C4×C61C2411yescharacteristic
173C2×C22⋊D61—21no—
174C2×C22⋊D61—21no—
175C2×C22⋊D61—21no—
176#11758222—21no—
177#11758222—21no—
178#11758222—21no—
179#11758222—21no—
180#11758222—21no—
181#11758222—21no—
182#11758222—21no—
183#11758222—21no—
184#11758222—21no—
185#11758222—21no—
186#11758222C2×D412yes—
187#11758222#4112yes—
188C2×D244—21no—
189C2×D244—21no—
190C2×D244C22×C411yescharacteristic
191C2×D244C22×C411yescharacteristic
192C2×D244C22×C411yescharacteristic
193C2×C4×D61—21no—
194C2×C4×D61—21no—
195C2×C4×D61—21no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×Dic122C22×C411yescharacteristic
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61C22×C411yescharacteristic
208C2×C8×C61C22×C411yescharacteristic
209C2×C8×C61C22×C411yescharacteristic
210C2×C8×C61C22×C411yescharacteristic
211C2×C8×C61C2×D411yescharacteristic
212C2×C8×C61C2×D411yescharacteristic
213C2×C8×C61C2×D411yescharacteristic
214C2×C8×C61C2×D411yescharacteristic
215C2×C8×C61C2×D412yes—
216C2×C8×C61#4112yes—
217C4⋊C4×C61—42no—
218C42×C61—21no—
219C42×C61—21no—
220C42×C61—21no—
221C42×C61—21no—
222C42×C61C22×C411yescharacteristic
223C42×C61C22×C411yescharacteristic
224C42×C61C2×D411yescharacteristic
225C42×C61C2×D411yescharacteristic
226C22⋊Dic61—21no—
227#11758198—21no—
228#11758198—21no—
229#11758198—21no—
230#11758198—21no—
231#11758198—21no—
232#11758198—21no—
233C4⋊Dic61—21no—
234C4⋊Dic61—21no—
235C4⋊Dic61C22×C411yescharacteristic
236C4⋊Dic61C22×C411yescharacteristic
237#11758196—21no—
238#11758196—21no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241C4×Dic61—21no—
242#11758194—21no—
243#11758194—21no—
244#11758194—21no—
245#11758194—21no—
246#11758194—21no—
247#11758194—21no—
248#11758194C2×D412yes—
249#11758194#4112yes—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254Dic244—22no—
255Dic244—22no—
256D488—22no—
257D488—22no—
258#11758190—22no—
259#11758190—22no—
260#11758190—22no—
261#11758190—22no—
262#11758189—24no—
263#11758189—24no—
264#11758189—42no—
265#11758189—42no—
266C8×D61—24no—
267C8×D61—24no—
268C8×D61—42no—
269C8×D61—42no—
270C23×C61C2×#4111yescharacteristic
271C22×D61—21no—
272C22×D61—21no—
273C22×D61—21no—
274C2×C4×C61—22no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61C4×D411yescharacteristic
283C2×C4×C61C4×D411yescharacteristic
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C4×D411yescharacteristic
286C2×C4×C61C23×C411yescharacteristic
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C2×#4111yescharacteristic
290C2×C4×C61C2×#4111yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C22⋊D61—22no—
293C22⋊D61—22no—
294C22⋊D61—41no—
295C22⋊D61—41no—
296C22⋊D61—41no—
297C22⋊D61—41no—
298C2×Dic61—21no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303D244—21no—
304D244—21no—
305D244—21no—
306D244—21no—
307D244—21no—
308D244—81no—
309D244—81no—
310D244C4×D412yes—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—41no—
314C4×D61—41no—
315C4×D61—41no—
316C4×D61—41no—
317C4×D61—81no—
318C4×D61—81no—
319Dic122—21no—
320Dic122—21no—
321Dic122—21no—
322Dic122—21no—
323Dic122—21no—
324Dic122C4×D412yes—
325C8×C61—21no—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—21no—
329C8×C61—21no—
330C8×C61—21no—
331C8×C61#12112yes—
332C8×C61#12112yes—
333#92418—22no—
334#92418—22no—
335#92418—41no—
336#92418—41no—
337#21519—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61C2×C4×D411yescharacteristic
341C22×C61#52911yescharacteristic
342C22×C61#53211yescharacteristic
343C2×D61—22no—
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—41no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—42no—
357C4×C61—81no—
358C4×C61C2×C4×D411yescharacteristic
359C4×C61C4×#4111yescharacteristic
360C4×C61C2×#12111yescharacteristic
361C4×C61#52511yescharacteristic
362Dic61—22no—
363Dic61—41no—
364Dic61—41no—
365Dic61—41no—
366Dic61—41no—
367#3035—611no—
368C2×#444—611no—
369C2×#443—611no—
370#2932—611no—
371#2875—611no—
372#1980—611no—
373#1950—611no—
374#1929—611no—
375#1929—611no—
376#1876—611no—
377#1876—611no—
378#1806—611no—
379#1771D6111yescharacteristic, complemented
380#1765—611no—
381#1764—611no—
382C2×C61—21no—
383C2×C61—21no—
384C2×C61C4×#12111yescharacteristic
385C2×C61#295611yescharacteristic
386C2×C61#295711yescharacteristic
387D61—42no—
388D61—81no—
389D61—81no—
390C2×#135—611no—
391C2×#135—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131—611no—
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#444—1224no—
407#443—1224no—
408#435—1221no—
409#435—1221no—
410#435—1221no—
411#435—1221no—
412C2×#108—611no—
413C2×#108—611no—
414#423—611no—
415C2×C4⋊C8C2×D6111yescharacteristic
416C2×#104—611no—
417C2×#104—611no—
418C2×#104—611no—
419C2×#104—611no—
420C2×#104—611no—
421C2×#104—611no—
422#416—611no—
423#416—611no—
424#408—611no—
425#408—611no—
426#405—611no—
427#405—611no—
428#405—1221no—
429#405—1221no—
430C4×M16—611no—
431C4×M16—1221no—
432C2×#97—1221no—
433C2×#97C2×D6111yescharacteristic
434C2×#97C2×D6111yescharacteristic
435C2×C4×C8C2×D6111yescharacteristic
436C4×C4⋊C4C2×D6111yescharacteristic
437#341—611no—
438#341—611no—
439#339—611no—
440#339—611no—
441#336C2×D6111yescharacteristic
442#336C2×D6111yescharacteristic
443C61#2151911yescharacteristic, complemented, Sylow
444C2×#41—611no—
445C2×#41—611no—
446C2×#41—611no—
447#135—1222no—
448#135—1222no—
449#135—1222no—
450#135—1222no—
451C2×Q16—611no—
452C2×Q16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×SD16—611no—
457C2×D8—611no—
458C2×D8—611no—
459#131—614no—
460#131—1222no—
461#131—1222no—
462#131—1222no—
463#131—1222no—
464#131—1222no—
465#131—1222no—
466#131—1222no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16—1221no—
475C22×C8—1221no—
476C22×C8—1221no—
477C22×C8—1221no—
478C22×C8—1221no—
479C22×C8C22×D6111yescharacteristic
480C22×C8C22×D6111yescharacteristic
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—21no—
500C2×C42—1221no—
501C2×C42C22×D6111yescharacteristic
502C2×C42C22×D6111yescharacteristic
503C2×C42C22×D6111yescharacteristic
504#108—1222no—
505#108—1222no—
506C4⋊C8—1221no—
507C4⋊C8—1221no—
508C4⋊C8C4×D6111yescharacteristic
509C4⋊C8C4×D6111yescharacteristic
510C4⋊C8C4×D6111yescharacteristic
511C4⋊C8C4×D6111yescharacteristic
512#104—1222no—
513#104—1222no—
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—1221no—
527C22⋊C8—1221no—
528C22⋊C8—1221no—
529C22⋊C8—1221no—
530#97—22no—
531#97—1221no—
532#97—1221no—
533#97—1221no—
534#97D24411yescharacteristic
535#97D24411yescharacteristic
536#97D24411yescharacteristic
537#97D24411yescharacteristic
538C4×C8—22no—
539C4×C8—1221no—
540C4×C8—1221no—
541C4×C8—1221no—
542#95—21no—
543#41—612no—
544#41—612no—
545#41—1221no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41—1221no—
555C2×Q8—611no—
556C2×Q8—611no—
557C2×Q8—611no—
558C2×D4—611no—
559C2×D4—611no—
560C2×D4—611no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4—1221no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4#1175822211yescharacteristic
574C22×C4#1175822211yescharacteristic
575C22×C4C23×D6111yescharacteristic
576Q16—1222no—
577Q16—1222no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581SD16—1222no—
582D8—1222no—
583D8—1222no—
584M16—612no—
585M16—612no—
586M16—1224no—
587M16—1221no—
588M16—1221no—
589M16—1224no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—1221no—
594M16—2442no—
595M16—2442no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—1224no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—1224no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—2442no—
609C2×C8—2442no—
610C2×C8C2×C4×D6111yescharacteristic
611C2×C8C2×C4×D6111yescharacteristic
612C2×C8C2×C4×D6111yescharacteristic
613C2×C8C2×C4×D6111yescharacteristic
614C2×C8C2×D24411yescharacteristic
615C2×C8C2×D24411yescharacteristic
616C2×C8C2×D24411yescharacteristic
617C2×C8C2×D24411yescharacteristic
618C2×C8D4×D6112yes—
619C2×C8#1175822612yes—
620C4⋊C4—42no—
621C4⋊C4—611no—
622C4⋊C4—611no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
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—21no—
637C42—21no—
638C42—1221no—
639C42—1221no—
640C42—1221no—
641C42C2×C4×D6111yescharacteristic
642C42C2×C4×D6111yescharacteristic
643C42C2×D24411yescharacteristic
644C42C2×D24411yescharacteristic
645C23—1221no—
646C23—1221no—
647C23—1221no—
648C23C2×#1175822211yescharacteristic
649Q8—612no—
650Q8—1221no—
651Q8—1221no—
652Q8—1221no—
653Q8—1221no—
654Q8—1221no—
655D4—612no—
656D4—1222no—
657D4—1222no—
658D4—1221no—
659D4—1221no—
660D4—1221no—
661D4—1221no—
662D4—1221no—
663D4—4881no—
664D4—4881no—
665D4—2441no—
666D4—2441no—
667D4—2441no—
668D4—2441no—
669C2×C4—22no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—1221no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1221no—
681C2×C4—1221no—
682C2×C4—1221no—
683C2×C4—1221no—
684C2×C4—4881no—
685C2×C4—4881no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4C4×D24411yescharacteristic
691C2×C4C4×D24411yescharacteristic
692C2×C4C4×D24411yescharacteristic
693C2×C4C4×D24411yescharacteristic
694C2×C4C22×C4×D6111yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4C22×D24411yescharacteristic
697C2×C4#41×D6111yescharacteristic
698C2×C4#41×D6111yescharacteristic
699C2×C4C2×#1175822611yescharacteristic
700C8—21no—
701C8—21no—
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—1222no—
707C8—1222no—
708C8—2441no—
709C8—2441no—
710C8#1451975212yes—
711C8#1451975212yes—
712C22—21no—
713C22—21no—
714C22—1222no—
715C22—2441no—
716C22—2441no—
717C22—2441no—
718C22—2441no—
719C22—2441no—
720C22—2441no—
721C22—2441no—
722C22—2441no—
723C22C2×C4×D24411yescharacteristic
724C22#1684029911yescharacteristic
725C22#1684030911yescharacteristic
726C4—21no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—42no—
731C4—81no—
732C4—1222no—
733C4—2441no—
734C4—2441no—
735C4—2441no—
736C4—2441no—
737C4C4×D4×D6111yescharacteristic
738C4C4×#1175822611yescharacteristic
739C4C2×#1451975211yescharacteristic
740C4#1684027411yescharacteristic
741C2—21no—
742C2—21no—
743C2—4881no—
744C2—4881no—
745C2—2442no—
746C2C4×#1451975211yescharacteristic
747C2#2145473011yescharacteristic
748C2#2145473711yescharacteristic
subgroupG/H
centerC2×C4C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1771C2
socleC22×C61C2×C4×D4
prime radical#21455276C2
cosocleC22×C4×C61C24
hypercenter#1771D61
hypocenterC61#21519
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×#97 ◁ #1771

Complements

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

NH ≅ G/Ntype
2. C2×#16839885C2semidirect
3. C2×#16839880C2semidirect
4. #21454538C2semidirect
5. #21454244C2semidirect
6. #21446737C2semidirect
7. #21446595C2semidirect
8. #21446468C2semidirect
9. #21446468C2semidirect
10. #21446145C2semidirect
11. #21446145C2semidirect
12. #21445840C2semidirect
13. #21445663C2semidirect
14. #21445656C2semidirect
15. C61×#1771C2semidirect
24. #16839985C4semidirect
25. #16839985C4semidirect
26. #16839978C4semidirect
27. #16839978C4semidirect
28. #16839973C4semidirect
29. #16839968C4semidirect
30. #16839963C4semidirect
31. #16839958C4semidirect
91. #14519783D4semidirect
379. #1771D61semidirect
443. C61#21519semidirect

Maximal subgroups

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

subgroupindex
#214552762
C2×#168398852
C2×#168398802
#214545382
#214542442
#214467372
#214465952
#214464682
#214461452
#214458402
#214456632
#214456562
C61×#17712
#2151961