Finite Group Databasebeta

← #29718436

Subgroups — #29718436

Order 15616.

1012 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840086C211yesmaximal, characteristic, complemented
2C2×#16839756C211yesmaximal, characteristic, complemented
3#21449438C211yesmaximal, characteristic
4#21447197C211yesmaximal, characteristic, complemented
5#21447190C211yesmaximal, characteristic, complemented
6#21447060C211yesmaximal, characteristic, complemented
7#21447053C211yesmaximal, characteristic, complemented
8#21446751C211yesmaximal, characteristic, complemented
9#21446746C211yesmaximal, characteristic, complemented
10#21446460C211yesmaximal, characteristic, complemented
11#21446439C211yesmaximal, characteristic, complemented
12#21446245C211yesmaximal, characteristic, complemented
13#21445999C211yesmaximal, characteristic, complemented
14#21445757C211yesmaximal, characteristic, complemented
15C61×#2347C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C23×#92418C2211yescharacteristic
18C2×#14519774C2211yescharacteristic
19C2×#14519765C2211yescharacteristic
20C2×#14519751C2211yescharacteristic
21#16840086—24no—
22C2×#14519710C2211yescharacteristic
23C2×#14519708C2211yescharacteristic
24C2×C4⋊#92418C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26#16839756—24no—
27C2×#14519700C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519697C2211yescharacteristic
37C2×#14519697C2211yescharacteristic
38C2×#14519697C2211yescharacteristic
39C2×C22⋊#92418C2211yescharacteristic
40#16839671—21no—
41#16839671—21no—
42#16839668C2211yescharacteristic
43#16839664C2211yescharacteristic
44#16839640—21no—
45#16839640—21no—
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×#117×C61C2211yescharacteristic
51C61×#389C2211yescharacteristic
52C61×#389C2211yescharacteristic
53C61×#388—21no—
54C61×#388—21no—
55C61×#383—21no—
56C61×#380C2211yescharacteristic
57C4×C4⋊C4×C61—21no—
58C4×C4⋊C4×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C4×C22⋊C4×C61C2211yescharacteristic
61C2×#11758222—22no—
62C2×#11758222—22no—
63C2×#11758222—22no—
64C2×#11758222—22no—
65C2×#11758222—41no—
66C2×#11758222—41no—
67C22×Dic122C2311yescharacteristic
68C22×D244—21no—
69C22×D244—21no—
70C22×D244C2311yescharacteristic
71C22×D244C2311yescharacteristic
72C22×C22⋊D61—21no—
73C22×C22⋊D61—21no—
74C22×C4×D61—21no—
75C22×#92418—22no—
76C22×#92418—41no—
77C22×#92418—41no—
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82#14519774—22no—
83#14519774—41no—
84#14519765—22no—
85#14519765—41no—
86#14519751—22no—
87#14519751—22no—
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94#14519710—22no—
95#14519708—22no—
96C4⋊#92418—41no—
97C4⋊#92418—41no—
98#14519700—22no—
99#14519700—22no—
100#14519700—22no—
101#14519700—41no—
102#14519697—22no—
103#14519697—22no—
104#14519697—22no—
105#14519697—22no—
106#14519697—22no—
107#14519697—41no—
108#14519697—41no—
109#14519697—41no—
110C22⋊#92418—22no—
111#14519684—21no—
112#14519684—21no—
113C23×C4×C61C2311yescharacteristic
114#117×C61—22no—
115#117×C61D414yescomplemented
116C2×C4⋊C4×C61—21no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61D411yescharacteristic
125C2×C22⋊C4×C61D411yescharacteristic
126C2×C42×C61—21no—
127C2×C42×C61—21no—
128C2×C42×C61—21no—
129C2×C42×C61C2311yescharacteristic
130C2×C42×C61C2311yescharacteristic
131#95×C61—21no—
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61—21no—
136#95×C61D411yescharacteristic
137#95×C61D411yescharacteristic
138C24×C61C2×D411yescharacteristic
139C23×D61—21no—
140C23×D61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61#4112yes—
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C2×C22⋊D61—42no—
161C2×C22⋊D61—81no—
162C2×C22⋊D61—81no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165#11758222—28no—
166#11758222—44no—
167#11758222—44no—
168#11758222—44no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244—42no—
181C2×D244—42no—
182C2×D244—42no—
183C2×D244—42no—
184C2×D244—81no—
185C2×D244—81no—
186C2×D244#4112yes—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122#4112yes—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—42no—
203C4⋊C4×C61—42no—
204C4⋊C4×C61C2×D412yes—
205C4⋊C4×C61C2×D412yes—
206C22⋊C4×C61—24no—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—41no—
209C22⋊C4×C61—81no—
210C42×C61—24no—
211C42×C61—21no—
212C42×C61—21no—
213C42×C61—21no—
214C42×C61—21no—
215C42×C61—81no—
216C42×C61—81no—
217#11758198—42no—
218#11758198—42no—
219#11758198—42no—
220#11758198—81no—
221#11758198—81no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—44no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61#12112yes—
244C23×C61C22×D411yescharacteristic
245C22×D61—22no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61#12112yes—
289C2×C4×C61#13512yes—
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61H(5,𝔽2)11yescharacteristic
295C2×C4×C61H(5,𝔽2)11yescharacteristic
296C22⋊D61—48no—
297C22⋊D61—84no—
298C2×Dic61—22no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304D244—22no—
305D244—22no—
306D244—41no—
307D244—41no—
308D244—41no—
309D244—41no—
310D244—41no—
311D244—41no—
312D244—84no—
313D244—84no—
314C4×D61—48no—
315Dic122—22no—
316Dic122—22no—
317Dic122—41no—
318Dic122—41no—
319#92418—41no—
320#92418—41no—
321#92418—41no—
322#92418—41no—
323#24484—611nomaximal, Sylow
324C22×C61—22no—
325C22×C61—22no—
326C22×C61—22no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61C2×#12111yescharacteristic
332C22×C61#54611yescharacteristic
333C22×C61#54611yescharacteristic
334C22×C61C2×#13511yescharacteristic
335C22×C61#57511yescharacteristic
336C22×C61#57611yescharacteristic
337C22×C61#57711yescharacteristic
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—81no—
342C2×D61—81no—
343C2×D61—81no—
344C2×D61—81no—
345C2×D61—81no—
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C2×D61—81no—
350C2×D61—81no—
351C2×D61—81no—
352C4×C61—22no—
353C4×C61—22no—
354C4×C61—42no—
355C4×C61—42no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—81no—
360C4×C61—81no—
361C4×C61#52511yescharacteristic
362C4×C61#53511yescharacteristic
363C4×C61#55111yescharacteristic
364C4×C61#55111yescharacteristic
365Dic61—42no—
366Dic61—81no—
367C2×#482—611no—
368C2×#416—611no—
369#2431—611no—
370#2347D6111yescharacteristic, complemented
371#2066—611no—
372#2065—611no—
373#2042—611no—
374#2041—611no—
375#1983—611no—
376#1982—611no—
377#1928—611no—
378#1925—611no—
379#1893—611no—
380#1850—611no—
381#1788—611no—
382C2×C61—42no—
383C2×C61#241111yescharacteristic
384C2×C61#303511yescharacteristic
385C2×C61#304511yescharacteristic
386C2×C61#329711yescharacteristic
387C2×C61#330411yescharacteristic
388C2×C61#330911yescharacteristic
389C2×C61#331111yescharacteristic
390D61—82no—
391D61—161no—
392C22×#41—611no—
393C23×C8—611no—
394C2×#127—611no—
395C2×#124—611no—
396C2×#121—611no—
397C2×#117C2×D6111yescharacteristic
398#482—1224no—
399C2×#107—611no—
400C2×#106—611no—
401C2×C4⋊C8—611no—
402C2×C4⋊C8—611no—
403#416—1224no—
404C2×#103—611no—
405C2×#103—611no—
406C2×#103—611no—
407C2×#103—611no—
408C2×#102—611no—
409C2×#102—611no—
410C2×#102—611no—
411C2×#102—611no—
412C2×#102—611no—
413C2×#102—611no—
414C2×#102—611no—
415C2×#102—611no—
416C2×C22⋊C8—611no—
417#392—1221no—
418#392—1221no—
419#391—611no—
420#390—611no—
421#389C2×D6111yescharacteristic
422#389C2×D6111yescharacteristic
423#388—21no—
424#388—21no—
425#386—1221no—
426#386—1221no—
427#383—21no—
428#380C2×D6111yescharacteristic
429C4×C4⋊C4—21no—
430C4×C4⋊C4C2×D6111yescharacteristic
431C4×C4⋊C4C2×D6111yescharacteristic
432C4×C22⋊C4C2×D6111yescharacteristic
433#340—611no—
434#340—611no—
435#336—611no—
436#336—611no—
437C61#2448411yescharacteristic, complemented, Sylow
438C2×#41—1222no—
439C2×#41—1222no—
440C2×#41—1222no—
441C2×#41—1222no—
442C2×#41—2441no—
443C2×#41—2441no—
444C22×Q8—611no—
445C22×D4—611no—
446C22×D4—611no—
447C22×D4—1221no—
448C22×D4—1221no—
449C22×D4—1221no—
450C22×D4—1221no—
451C23×C4—1221no—
452C23×C4C22×D6111yescharacteristic
453C22×C8—611no—
454C22×C8—611no—
455C22×C8—611no—
456C22×C8—611no—
457C22×C8—1222no—
458C22×C8—2441no—
459C22×C8—2441no—
460#127—1222no—
461#127—2441no—
462#124—1222no—
463#124—2441no—
464#121—1222no—
465#121—1222no—
466#117—22no—
467#117D24414yescomplemented
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4C22⋊D6111yescharacteristic
483C2×C22⋊C4C22⋊D6111yescharacteristic
484C2×C42—21no—
485C2×C42—21no—
486C2×C42—21no—
487C2×C42C22×D6111yescharacteristic
488C2×C42C22×D6111yescharacteristic
489#107—1222no—
490#106—1222no—
491C4⋊C8—2441no—
492C4⋊C8—2441no—
493#103—1222no—
494#103—1222no—
495#103—1222no—
496#103—2441no—
497#102—1222no—
498#102—1222no—
499#102—1222no—
500#102—1222no—
501#102—1222no—
502#102—2441no—
503#102—2441no—
504#102—2441no—
505C22⋊C8—1222no—
506#95—21no—
507#95—21no—
508#95—21no—
509#95—21no—
510#95—21no—
511#95—1221no—
512#95—1221no—
513#95C22⋊D6111yescharacteristic
514#95C22⋊D6111yescharacteristic
515C24—1221no—
516C24—1221no—
517C24C2×C22⋊D6111yescharacteristic
518#41—1228no—
519#41—2444no—
520#41—2444no—
521#41—2444no—
522C2×Q8—612no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×D4—612no—
529C2×D4—1221no—
530C2×D4—1221no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—1221no—
536C2×D4—1221no—
537C2×D4—1221no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—4881no—
541C2×D4—4881no—
542C2×D4—4881no—
543C2×D4—4881no—
544C2×D4—2442no—
545C2×D4—2442no—
546C2×D4—2442no—
547C2×D4—2442no—
548C2×D4—2442no—
549C2×D4—2442no—
550C2×D4—2442no—
551C2×D4—2442no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—2442no—
563C22×C4—2442no—
564C22×C4—2442no—
565C22×C4C2×D24412yes—
566C22×C4#1175822212yes—
567C22×C4C2×C22⋊D6111yescharacteristic
568C22×C4C2×C22⋊D6111yescharacteristic
569C22×C4C2×C22⋊D6111yescharacteristic
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6111yescharacteristic
572C22×C4C23×D6111yescharacteristic
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—2444no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—42no—
593C4⋊C4—42no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4C2×D24412yes—
597C4⋊C4C2×D24412yes—
598C22⋊C4—24no—
599C22⋊C4—22no—
600C22⋊C4—41no—
601C22⋊C4—81no—
602C22⋊C4—4881no—
603C22⋊C4—4881no—
604C22⋊C4—2442no—
605C22⋊C4—2442no—
606C22⋊C4—2442no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—21no—
611C42—24no—
612C42—81no—
613C42—81no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—1222no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23—2441no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23—2441no—
632C23—2441no—
633C23—2441no—
634C23#1451975112yes—
635C23C22×C22⋊D6111yescharacteristic
636Q8—1222no—
637Q8—1222no—
638Q8—2441no—
639Q8—2441no—
640D4—1222no—
641D4—1222no—
642D4—4884no—
643D4—4884no—
644D4—4884no—
645D4—2448no—
646D4—2441no—
647D4—2441no—
648D4—2441no—
649D4—2441no—
650D4—2441no—
651D4—2441no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—1222no—
682C2×C4—2448no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4#1451975112yes—
689C2×C4#1451979712yes—
690C2×C4C22×D24411yescharacteristic
691C2×C4#41×D6111yescharacteristic
692C2×C4#41×D6111yescharacteristic
693C2×C4C2×#1175822211yescharacteristic
694C2×C4#1451982311yescharacteristic
695C2×C4#1451982311yescharacteristic
696C8—2441no—
697C8—2441no—
698C8—2441no—
699C8—2441no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—4881no—
708C22—4881no—
709C22—4881no—
710C22—4881no—
711C22—4881no—
712C22—4881no—
713C22—4881no—
714C22—4881no—
715C22—4881no—
716C22—4881no—
717C22—4881no—
718C22—2442no—
719C22—2442no—
720C22—2442no—
721C22C2×#1451975111yescharacteristic
722C22#1684040011yescharacteristic
723C22#1684040011yescharacteristic
724C22C2×#1451979711yescharacteristic
725C22#1684056011yescharacteristic
726C22#1684056511yescharacteristic
727C22#1684057011yescharacteristic
728C4—22no—
729C4—22no—
730C4—41no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—81no—
736C4—81no—
737C4—4881no—
738C4—2442no—
739C4#1684027411yescharacteristic
740C4#1684033111yescharacteristic
741C4#1684043611yescharacteristic
742C4#1684043611yescharacteristic
743C2—42no—
744C2—9761no—
745C2—4882no—
746C2#2144919811yescharacteristic
747C2#2145527411yescharacteristic
748C2#2145535811yescharacteristic
749C2#2145766311yescharacteristic
750C2#2145775211yescharacteristic
751C2#2145781911yescharacteristic
752C2#2145784911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2347C2
socleC23×C61C22×D4
prime radical#21449438C2
hypercenter#2347D61
hypocenterC61#24484
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2347

Complements

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

NH ≅ G/Ntype
1. C2×#16840086C2semidirect
2. C2×#16839756C2semidirect
4. #21447197C2semidirect
5. #21447190C2semidirect
6. #21447060C2semidirect
7. #21447053C2semidirect
8. #21446751C2semidirect
9. #21446746C2semidirect
10. #21446460C2semidirect
11. #21446439C2semidirect
12. #21446245C2semidirect
13. #21445999C2semidirect
14. #21445757C2semidirect
15. C61×#2347C2semidirect
115. #117×C61D4semidirect
370. #2347D61semidirect
437. C61#24484semidirect
467. #117D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168400862
C2×#168397562
#214494382
#214471972
#214471902
#214470602
#214470532
#214467512
#214467462
#214464602
#214464392
#214462452
#214459992
#214457572
C61×#23472
#2448461