Finite Group Databasebeta

← #29730710

Subgroups — #29730710

Order 15616.

980 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839981C211yesmaximal, characteristic
2C2×#16839970C211yesmaximal, characteristic, complemented
3C2×#16839965C211yesmaximal, characteristic
4#21450808C211yesmaximal, characteristic, complemented
5#21448894C211yesmaximal, characteristic
6#21447139C211yesmaximal, characteristic, complemented
7#21447132C211yesmaximal, characteristic
8#21446917C211yesmaximal, characteristic, complemented
9#21446900C211yesmaximal, characteristic
10#21446743C211yesmaximal, characteristic, complemented
11#21446542C211yesmaximal, characteristic, complemented
12#21446162C211yesmaximal, characteristic, complemented
13#21446155C211yesmaximal, characteristic
14#21445650C211yesmaximal, characteristic, complemented
15C2×C61×#497C211yesmaximal, characteristic
16C22×#11758202C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C2×#14519775C2211yescharacteristic
19C2×#14519775C2211yescharacteristic
20C2×Q8×Dic61C2211yescharacteristic
21C2×C4×Dic122C2211yescharacteristic
22C2×D4×Dic61C2211yescharacteristic
23#16839981—24no—
24#16839970—24no—
25#16839965—24no—
26C2×C4⋊#92418C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519701C2211yescharacteristic
33C2×#14519701C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×#14519698C2211yescharacteristic
37#16839693—21no—
38#16839693—21no—
39#16839669C2211yescharacteristic
40#16839669C2211yescharacteristic
41#16839669C2211yescharacteristic
42#16839665C2211yescharacteristic
43#16839658—21no—
44#16839658—21no—
45#16839655—21no—
46#16839655—21no—
47#16839637—21no—
48C4×C4⋊Dic61C2211yescharacteristic
49C4×C4⋊Dic61C2211yescharacteristic
50C22⋊C4×Dic61—21no—
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839516C2211yescharacteristic
54#16839516C2211yescharacteristic
55C22×Q16×C61C2211yescharacteristic
56C22×Q16×C61C2211yescharacteristic
57C22×SD16×C61C2211yescharacteristic
58C22×SD16×C61C2211yescharacteristic
59C2×C4⋊Q8×C61C2211yescharacteristic
60C2×#124×C61C2211yescharacteristic
61C61×#497—24no—
62C2×#97×C61C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C23×Dic61—21no—
65C2×#11758202—22no—
66C2×#11758202—22no—
67C2×#11758202—41no—
68C2×#11758200—22no—
69C2×#11758200—22no—
70C2×#11758200—41no—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73#14519775—22no—
74#14519775—22no—
75#14519775—41no—
76#14519775—41no—
77Q8×Dic61—22no—
78Q8×Dic61—41no—
79C4×Dic122—22no—
80C4×Dic122—22no—
81D4×Dic61—22no—
82D4×Dic61—41no—
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61D411yescharacteristic
85C2×C4⋊Dic61D411yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×C22⋊Dic61—21no—
95C2×C22⋊Dic61—21no—
96C2×C22⋊Dic61—21no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61C2311yescharacteristic
101C2×C4×Dic61C2311yescharacteristic
102C4⋊#92418—22no—
103#14519706—22no—
104#14519706—22no—
105#14519702—22no—
106#14519702D414yes—
107#14519701—22no—
108#14519701—22no—
109#14519701—22no—
110#14519701—41no—
111#14519701—41no—
112#14519698—22no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684D411yescharacteristic
121#14519684D411yescharacteristic
122C22×Q8×C61C2311yescharacteristic
123C22×Q8×C61C2311yescharacteristic
124C22×Q8×C61C2311yescharacteristic
125C22×D4×C61C2311yescharacteristic
126C2×Q16×C61—22no—
127C2×Q16×C61—22no—
128C2×Q16×C61—22no—
129C2×Q16×C61—22no—
130C2×Q16×C61—41no—
131C2×Q16×C61—41no—
132C2×SD16×C61—22no—
133C2×SD16×C61—22no—
134C2×SD16×C61—22no—
135C2×SD16×C61—22no—
136C2×SD16×C61—41no—
137C2×SD16×C61—41no—
138C22×C8×C61C2311yescharacteristic
139C22×C8×C61C2311yescharacteristic
140C4⋊Q8×C61—22no—
141C4⋊Q8×C61—22no—
142#124×C61—22no—
143#124×C61D414yes—
144C2×C4⋊C4×C61—21no—
145C2×C4⋊C4×C61—21no—
146C2×C22⋊C4×C61—21no—
147C2×C22⋊C4×C61—21no—
148C2×C42×C61C2311yescharacteristic
149#97×C61—22no—
150C24×C61—21no—
151C2×Q8×C61—21no—
152C2×Q8×C61—21no—
153C2×Q8×C61—21no—
154C2×Q8×C61—21no—
155C2×Q8×C61—21no—
156C2×Q8×C61—21no—
157C2×Q8×C61—21no—
158C2×Q8×C61—21no—
159C2×Q8×C61—21no—
160C2×Q8×C61—21no—
161C2×Q8×C61—21no—
162C2×Q8×C61—21no—
163C2×Q8×C61—21no—
164C2×Q8×C61—21no—
165C2×Q8×C61—21no—
166C2×Q8×C61—21no—
167C2×Q8×C61—21no—
168C2×Q8×C61C2×D412yes—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61—21no—
174C2×D4×C61C2×D412yes—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61C2411yescharacteristic
181C22×Dic61—21no—
182C22×Dic61—21no—
183C22×Dic61—21no—
184C22×Dic61—21no—
185C22×Dic61—42no—
186C22×Dic61—42no—
187C22×Dic61—81no—
188C22×Dic61C2×D411yescharacteristic
189C22×Dic61C2×D411yescharacteristic
190C22×Dic61C2×D411yescharacteristic
191C22×Dic61C2×D411yescharacteristic
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122C2×D412yes—
198Q16×C61—44no—
199Q16×C61—44no—
200SD16×C61—44no—
201SD16×C61—44no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61C2×D412yes—
207C2×C8×C61#4112yes—
208C4⋊C4×C61—42no—
209C4⋊C4×C61—42no—
210C22⋊C4×C61—24no—
211C22⋊C4×C61—24no—
212C42×C61C2×D412yes—
213C42×C61#4112yes—
214C22⋊Dic61—42no—
215C22⋊Dic61—42no—
216C22⋊Dic61—81no—
217#11758202—44no—
218#11758200—44no—
219C4⋊Dic61—21no—
220C4⋊Dic61—22no—
221C4⋊Dic61—22no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C4⋊Dic61—42no—
227C4⋊Dic61C2×D412yes—
228#11758196—42no—
229#11758196—42no—
230#11758196—42no—
231#11758196—42no—
232#11758196—42no—
233C4×Dic61—21no—
234C4×Dic61—21no—
235C4×Dic61—21no—
236C4×Dic61—21no—
237C4×Dic61—42no—
238C4×Dic61—42no—
239C4×Dic61—81no—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418—21no—
243C2×#92418—21no—
244C2×#92418—21no—
245C2×#92418—21no—
246C23×C61—22no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61—41no—
253C23×C61C22×D411yescharacteristic
254Q8×C61—22no—
255Q8×C61—22no—
256Q8×C61—41no—
257Q8×C61—41no—
258Q8×C61—41no—
259Q8×C61—41no—
260Q8×C61—41no—
261Q8×C61—41no—
262Q8×C61—41no—
263Q8×C61—41no—
264Q8×C61—41no—
265Q8×C61—41no—
266D4×C61—22no—
267D4×C61—22no—
268D4×C61—41no—
269D4×C61—41no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—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×C61—41no—
283C2×C4×C61#12112yes—
284C2×C4×C61#12112yes—
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61H(5,𝔽2)11yescharacteristic
290C2×C4×C61H(5,𝔽2)11yescharacteristic
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310C2×Dic61—41no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61—84no—
314C2×Dic61#13712yes—
315C2×Dic61#13712yes—
316Dic122—22no—
317Dic122—22no—
318Dic122—41no—
319Dic122—41no—
320C8×C61—22no—
321C8×C61—22no—
322#92418—41no—
323#92418—41no—
324#25382—611nomaximal, Sylow
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—81no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61C2×#12111yescharacteristic
333C22×C61D4211yescharacteristic
334C22×C61#55011yescharacteristic
335C22×C61C2×#13711yescharacteristic
336C22×C61C2×#13711yescharacteristic
337C22×C61#57711yescharacteristic
338C22×C61#57811yescharacteristic
339C4×C61—22no—
340C4×C61—22no—
341C4×C61—42no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61#53211yescharacteristic
345C4×C61#54011yescharacteristic
346C4×C61D4211yescharacteristic
347C4×C61#54611yescharacteristic
348Dic61—22no—
349Dic61—22no—
350Dic61—42no—
351Dic61—41no—
352Dic61—42no—
353Dic61—41no—
354Dic61—81no—
355Dic61—81no—
356C2×#497D6111yescharacteristic
357C2×#464—611no—
358C2×#462—611no—
359C2×#461—611no—
360#2546—611no—
361#2367—611no—
362#2056—611no—
363#2055—611no—
364#2016—611no—
365#2013—611no—
366#1981—611no—
367#1940—611no—
368#1878—611no—
369#1877—611no—
370#1763—611no—
371C2×C61—82no—
372C2×C61#242811yescharacteristic
373C2×C61#303911yescharacteristic
374C2×C61#304611yescharacteristic
375C2×C61#326611yescharacteristic
376C2×C61#327011yescharacteristic
377C2×C61#339811yescharacteristic
378C2×C61#340011yescharacteristic
379C22×Q16—611no—
380C22×Q16C2×D6111yescharacteristic
381C22×Q16C2×D6111yescharacteristic
382C22×SD16—611no—
383C22×SD16C2×D6111yescharacteristic
384C22×SD16C2×D6111yescharacteristic
385C2×C4⋊Q8—611no—
386C2×C4⋊Q8—611no—
387C2×C4⋊Q8C2×D6111yescharacteristic
388C2×#124C2×D6111yescharacteristic
389C2×C4×Q8—611no—
390C2×C4×Q8—611no—
391C2×C4×D4—611no—
392#497—24no—
393#464—1224no—
394#462—1224no—
395#461—1224no—
396C2×C4⋊C8—611no—
397C2×C4⋊C8—611no—
398C2×C4⋊C8—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103—611no—
403C2×#103—611no—
404C2×#103—611no—
405C2×#103—611no—
406C2×#102—611no—
407C2×#97C2×D6111yescharacteristic
408#398—1221no—
409#398—1221no—
410#391—611no—
411#391—611no—
412#391—611no—
413#390—611no—
414#389—1221no—
415#389—1221no—
416#388—1221no—
417#388—1221no—
418#385—1221no—
419C4×C4⋊C4—611no—
420C4×C4⋊C4—611no—
421C4×C22⋊C4—1221no—
422#340—611no—
423#340—611no—
424#336—611no—
425#336—611no—
426C61#2538211yescharacteristic, complemented, Sylow
427C22×Q8—611no—
428C22×Q8C22×D6111yescharacteristic
429C22×Q8C22×D6111yescharacteristic
430C22×Q8C22×D6111yescharacteristic
431C22×D4C22×D6111yescharacteristic
432C23×C4—1221no—
433C2×Q16—22no—
434C2×Q16—22no—
435C2×Q16—22no—
436C2×Q16—22no—
437C2×Q16—41no—
438C2×Q16—41no—
439C2×Q16—1222no—
440C2×Q16—1222no—
441C2×Q16—2441no—
442C2×SD16—22no—
443C2×SD16—22no—
444C2×SD16—22no—
445C2×SD16—22no—
446C2×SD16—41no—
447C2×SD16—41no—
448C2×SD16—1222no—
449C2×SD16—1222no—
450C2×SD16—2441no—
451C22×C8—611no—
452C22×C8—611no—
453C22×C8C22×D6111yescharacteristic
454C22×C8C22×D6111yescharacteristic
455C4⋊Q8—22no—
456C4⋊Q8—22no—
457C4⋊Q8—1222no—
458C4⋊Q8—1222no—
459C4⋊Q8—2441no—
460C4⋊Q8—2441no—
461#124—22no—
462#124C22⋊D6114yes—
463C4×Q8—1222no—
464C4×Q8—1222no—
465C4×Q8—1222no—
466C4×Q8—2441no—
467C4×D4—1222no—
468C4×D4—2441no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1221no—
481C2×C4⋊C4—1221no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C22⋊C4—1221no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—1221no—
490C2×C42—1221no—
491C2×C42—1221no—
492C2×C42C22×D6111yescharacteristic
493C4⋊C8—1222no—
494C4⋊C8—1222no—
495C4⋊C8—1222no—
496#103—614no—
497#103—1222no—
498#103—1222no—
499#103—1222no—
500#103—1222no—
501#103—2441no—
502#103—2441no—
503#102—1222no—
504#97—22no—
505#95—611no—
506#95—611no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514C24—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—612no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—1221no—
536C2×Q8—1221no—
537C2×Q8—1221no—
538C2×Q8C2×C22⋊D6112yes—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4C2×C22⋊D6112yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—4881no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4D4×D6111yescharacteristic
560C22×C4D4×D6111yescharacteristic
561C22×C4C23×D6111yescharacteristic
562Q16—44no—
563Q16—44no—
564Q16—2444no—
565SD16—44no—
566SD16—44no—
567SD16—2444no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8D4×D6112yes—
579C2×C8#1175822412yes—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—612no—
583C4⋊C4—1222no—
584C4⋊C4—1222no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—1221no—
590C4⋊C4—2442no—
591C4⋊C4—2442no—
592C4⋊C4—2442no—
593C4⋊C4—2442no—
594C4⋊C4—2442no—
595C4⋊C4—2442no—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—4881no—
599C22⋊C4—2442no—
600C22⋊C4—2442no—
601C42—1221no—
602C42—1221no—
603C42—1221no—
604C42—1221no—
605C42—4881no—
606C42—2442no—
607C42—2442no—
608C42#1175822412yes—
609C42C2×C22⋊D6112yes—
610C23—22no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23C2×D4×D6111yescharacteristic
618Q8—22no—
619Q8—22no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—41no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—41no—
630Q8—1222no—
631Q8—1222no—
632Q8—2441no—
633Q8—2441no—
634D4—22no—
635D4—22no—
636D4—41no—
637D4—41no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—612no—
652C2×C4—612no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—4884no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4#1451974912yes—
677C2×C4#1451974912yes—
678C2×C4C2×D4×D6111yescharacteristic
679C2×C4C22×C22⋊D6111yescharacteristic
680C2×C4C2×#1175822411yescharacteristic
681C2×C4C2×#1175822411yescharacteristic
682C2×C4#1451982211yescharacteristic
683C2×C4#1451982211yescharacteristic
684C8—22no—
685C8—22no—
686C8—2441no—
687C8—2441no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22C2×#1451974911yescharacteristic
696C22#1684039711yescharacteristic
697C22#1684043211yescharacteristic
698C22#137×D6111yescharacteristic
699C22#137×D6111yescharacteristic
700C22#1684057111yescharacteristic
701C22#1684057811yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—81no—
706C4—81no—
707C4—1222no—
708C4—1222no—
709C4—4881no—
710C4—4881no—
711C4—2441no—
712C4—2442no—
713C4—2442no—
714C4—2441no—
715C4#1684031011yescharacteristic
716C4#1684036611yescharacteristic
717C4D4×C22⋊D6111yescharacteristic
718C4#1684040611yescharacteristic
719C2—82no—
720C2#2144941011yescharacteristic
721C2#2145530411yescharacteristic
722C2#2145537311yescharacteristic
723C2#2145732811yescharacteristic
724C2#2145738811yescharacteristic
725C2#2145884711yescharacteristic
726C2#2145886911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#497C2
socleC23×C61C22×D4
prime radicalC22×D4×C61C23
hypercenterC2×#497D61
hypocenterC61#25382
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#497

Complements

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

NH ≅ G/Ntype
2. C2×#16839970C2semidirect
4. #21450808C2semidirect
6. #21447139C2semidirect
8. #21446917C2semidirect
10. #21446743C2semidirect
11. #21446542C2semidirect
12. #21446162C2semidirect
14. #21445650C2semidirect
426. C61#25382semidirect

Maximal subgroups

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

subgroupindex
C2×#168399812
C2×#168399702
C2×#168399652
#214508082
#214488942
#214471392
#214471322
#214469172
#214469002
#214467432
#214465422
#214461622
#214461552
#214456502
C2×C61×#4972
#2538261