Finite Group Databasebeta

← #30603103

Subgroups — #30603103

Order 15616.

926 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840748C211yesmaximal, characteristic
2C2×#16840741C211yesmaximal, characteristic
3C2×#16840725C211yesmaximal, characteristic, complemented
4C2×#16840644C211yesmaximal, characteristic, complemented
5C2×#16840644C211yesmaximal, characteristic, complemented
6#21461484C211yesmaximal, characteristic, complemented
7C2×#16839727C211yesmaximal, characteristic
8C2×D61⋊M16C2211yescharacteristic
9C2×D61⋊M16C2211yescharacteristic
10C2×#14519856C2211yescharacteristic
11C2×#14519856C2211yescharacteristic
12#16840748—22no—
13#16840748—22no—
14C2×#14519838C412yescomplemented
15C2×#14519837C412yescomplemented
16#16840741—22no—
17#16840741—22no—
18C2×#14519836C412yes—
19C2×#14519835C412yes—
20#16840725—22no—
21#16840725—22no—
22C2×#14519831—21no—
23C2×C8×#6923—21no—
24#16840644—22no—
25#16840644—22no—
26(C2×#6923)⋊C8—21no—
27(C2×#6923)⋊C8—21no—
28C22×#11758222C2211yescharacteristic
29C22×#11758189C2211yescharacteristic
30C22×C8×D61C2211yescharacteristic
31#16839727—21no—
32#16839727—21no—
33#16839727—21no—
34#16839727—21no—
35C2×C22⋊#92418C411yescharacteristic, complemented
36C2×#14519689C411yescharacteristic, complemented
37C2×#14519689C411yescharacteristic, complemented
38C2×C22⋊C8×C61C411yescharacteristic, complemented
39C2×#11758213—21no—
40C2×#11758213—21no—
41D61⋊M16—21no—
42D61⋊M16—21no—
43D61⋊M16—21no—
44D61⋊M16—21no—
45D61⋊M16—21no—
46D61⋊M16—21no—
47D61⋊M16D412yes—
48D61⋊M16D412yes—
49C2×#11758217C2×C412yes—
50C2×#11758217C2×C412yes—
51C2×D61⋊C8—21no—
52C2×D61⋊C8—21no—
53#14519856—21no—
54#14519856—21no—
55#14519856—21no—
56#14519856—21no—
57#14519856—21no—
58#14519856—21no—
59#14519856D412yes—
60#14519856D412yes—
61C2×C4⋊#6923—21no—
62C2×C4⋊#6923—21no—
63C2×C22⋊#6923C2×C412yes—
64C2×C22⋊#6923C2×C412yes—
65C2×C4×#6923—21no—
66C2×C4×#6923—21no—
67#14519838—24no—
68#14519837—24no—
69#14519836—24no—
70#14519835—24no—
71#14519831—24no—
72C8×#6923—24no—
73C2×#11758222—21no—
74C2×#11758222—21no—
75C2×#11758222—21no—
76C2×#11758222—21no—
77C2×#11758222—21no—
78C2×#11758222—21no—
79C2×#11758222—21no—
80C2×#11758222—21no—
81C2×#11758222—21no—
82C2×#11758222—21no—
83C2×#11758222—21no—
84C2×#11758222—21no—
85C22×Dic122C2×C411yescharacteristic
86C22×D244C2×C411yescharacteristic
87C22×C22⋊D61C2×C411yescharacteristic
88C22×C22⋊D61C2×C411yescharacteristic
89C22×C4×D61C2×C411yescharacteristic
90C22×C4×D61C2311yescharacteristic
91C2×#11758189—21no—
92C2×#11758189—21no—
93C2×#11758189—21no—
94C2×#11758189—21no—
95C2×#11758189—21no—
96C2×#11758189—21no—
97C22×#92418C2×C411yescharacteristic
98C22×#92418C2×C411yescharacteristic
99C2×C8×D61—21no—
100C2×C8×D61—21no—
101C2×C8×D61—21no—
102C2×C8×D61—21no—
103C2×C8×D61D411yescharacteristic
104C2×C8×D61D411yescharacteristic
105C2×C8×D61D411yescharacteristic
106C2×C8×D61D411yescharacteristic
107C22⋊#92418—21no—
108C22⋊#92418—21no—
109#14519689—21no—
110#14519689—21no—
111#14519689—21no—
112#14519689—21no—
113C23×C4×C61C2×C411yescharacteristic
114C22×C8×C61C2×C411yescharacteristic
115C22×C8×C61C2×C411yescharacteristic
116C22⋊C8×C61—21no—
117C22⋊C8×C61—21no—
118C24×C61C4211yescharacteristic
119C23×D61C4211yescharacteristic
120C23×D61C22×C411yescharacteristic
121C22×#6923—22no—
122C22×#6923—22no—
123C22×C4×C61—21no—
124C22×C4×C61—21no—
125C22×C4×C61—21no—
126C22×C4×C61—21no—
127C22×C4×C61—21no—
128C22×C4×C61—21no—
129C22×C4×C61C4211yescharacteristic
130C22×C4×C61C22×C411yescharacteristic
131C2×C22⋊D61—21no—
132C2×C22⋊D61—21no—
133C2×C22⋊D61—21no—
134C2×C22⋊D61—21no—
135C2×C22⋊D61—21no—
136C2×C22⋊D61—21no—
137C2×C22⋊D61—21no—
138C2×C22⋊D61—21no—
139C2×C22⋊D61—21no—
140C2×C22⋊D61—21no—
141C2×C22⋊D61—21no—
142C2×C22⋊D61—21no—
143C22×Dic61C4211yescharacteristic
144C22×Dic61C22×C411yescharacteristic
145#11758222—41no—
146#11758222—41no—
147#11758222—41no—
148#11758222—41no—
149#11758222—41no—
150#11758222—41no—
151#11758222—41no—
152#11758222—41no—
153#11758222—41no—
154#11758222—41no—
155#11758222—41no—
156#11758222—41no—
157#11758222—41no—
158#11758222—41no—
159#11758222—41no—
160#11758222—41no—
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61C2×D411yescharacteristic
174C2×C4×D61C2×D411yescharacteristic
175C2×C4×D61C2×D411yescharacteristic
176C2×C4×D61C2×D411yescharacteristic
177C2×C4×D61C2×D411yescharacteristic
178C2×C4×D61C2×D411yescharacteristic
179C2×C4×D61#4111yescharacteristic
180C2×C4×D61#4111yescharacteristic
181C2×C4×D61#4111yescharacteristic
182C2×C4×D61#4111yescharacteristic
183C2×C4×D61#4111yescharacteristic
184C2×C4×D61#4111yescharacteristic
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C22⋊#6923—22no—
192C22⋊#6923—22no—
193C22⋊#6923—22no—
194C22⋊#6923C22⋊C414yes—
195#11758217—22no—
196#11758217—22no—
197#11758217—22no—
198#11758217C22⋊C414yes—
199C2×#92420—22no—
200C2×#92420—22no—
201C4⋊#6923—22no—
202C4⋊#6923—22no—
203C4⋊#6923—41no—
204C4⋊#6923—41no—
205C4×#6923—22no—
206C4×#6923—22no—
207C4×#6923—41no—
208C4×#6923—41no—
209#11758213—22no—
210#11758213—22no—
211#11758213—41no—
212#11758213—41no—
213D61⋊C8—22no—
214D61⋊C8—22no—
215D61⋊C8—41no—
216D61⋊C8—41no—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61C22⋊C411yescharacteristic
223C2×C8×C61C22⋊C411yescharacteristic
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418C22⋊C411yescharacteristic
230C2×#92418C22⋊C411yescharacteristic
231#11758189—41no—
232#11758189—41no—
233#11758189—41no—
234#11758189—41no—
235C8×D61—21no—
236C8×D61—21no—
237C8×D61—21no—
238C8×D61—21no—
239C8×D61—21no—
240C8×D61—21no—
241C8×D61—21no—
242C8×D61—21no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61—21no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61C2×C4211yescharacteristic
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61C2×C22⋊C411yescharacteristic
257C22×D61#11711yescharacteristic
258C22×D61C4×D411yescharacteristic
259C22×D61C4×D411yescharacteristic
260C22×D61C4×D411yescharacteristic
261C22×D61C4×D411yescharacteristic
262C2×#6923—24no—
263C2×#6923—42no—
264C2×#6923—42no—
265C2×#6923—42no—
266C2×#6923—42no—
267C2×#6923—42no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61#11711yescharacteristic
277C2×C4×C61C4×D411yescharacteristic
278C2×C4×C61C4×D411yescharacteristic
279C2×C4×C61C4×D411yescharacteristic
280C2×C4×C61C4×D411yescharacteristic
281C22⋊D61—41no—
282C22⋊D61—41no—
283C22⋊D61—41no—
284C22⋊D61—41no—
285C22⋊D61—41no—
286C22⋊D61—41no—
287C22⋊D61—41no—
288C22⋊D61—41no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61#11711yescharacteristic
294C2×Dic61C4×D411yescharacteristic
295C2×Dic61C4×D411yescharacteristic
296C2×Dic61C4×D411yescharacteristic
297C2×Dic61C4×D411yescharacteristic
298D244—41no—
299D244—41no—
300D244—41no—
301D244—41no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61#12011yescharacteristic
307C4×D61#12111yescharacteristic
308C4×D61#12111yescharacteristic
309C4×D61#12111yescharacteristic
310C4×D61#12111yescharacteristic
311C4×D61#12111yescharacteristic
312C4×D61#12111yescharacteristic
313C4×D61#12311yescharacteristic
314C4×D61#12311yescharacteristic
315C4×D61#12311yescharacteristic
316C4×D61#12411yescharacteristic
317C4×D61#12411yescharacteristic
318C4×D61#12411yescharacteristic
319C4×D61#12611yescharacteristic
320C4×D61#12611yescharacteristic
321C4×D61#12711yescharacteristic
322Dic122—41no—
323Dic122—41no—
324Dic122—41no—
325Dic122—41no—
326#92420—24no—
327#92420—42no—
328C8×C61—21no—
329C8×C61—21no—
330C8×C61—41no—
331#92418—21no—
332#92418—21no—
333#92418—41no—
334#10961—611nomaximal, Sylow
335C22×C61—21no—
336C22×C61—21no—
337C22×C61—41no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—81no—
341C22×C61—81no—
342C22×C61C4×C22⋊C411yescharacteristic
343C22×C61C4×C22⋊C411yescharacteristic
344C22×C61C4×C22⋊C411yescharacteristic
345C2×D61—21no—
346C2×D61—21no—
347C2×D61—21no—
348C2×D61—21no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—41no—
352C2×D61—41no—
353C2×D61—41no—
354C2×D61—41no—
355C2×D61—41no—
356C2×D61—81no—
357C2×D61—81no—
358C2×D61#38611yescharacteristic
359C2×D61#38811yescharacteristic
360C2×D61#38811yescharacteristic
361C2×D61#39011yescharacteristic
362#6923—44no—
363#6923—82no—
364C4×C61—41no—
365C4×C61#38611yescharacteristic
366C4×C61#38811yescharacteristic
367C4×C61#38811yescharacteristic
368C4×C61#39011yescharacteristic
369Dic61—41no—
370Dic61#38611yescharacteristic
371Dic61#38811yescharacteristic
372Dic61#38811yescharacteristic
373Dic61#39011yescharacteristic
374C2×#413—611no—
375C2×#410—611no—
376C2×#408—611no—
377C2×#405—611no—
378C2×#344—611no—
379C2×#344—611no—
380#1729—611no—
381C2×C61—21no—
382C2×C61—21no—
383C2×C61—81no—
384C2×C61#143711yescharacteristic
385C2×C61#175711yescharacteristic
386C2×C61#175711yescharacteristic
387D61—21no—
388D61—21no—
389D61—21no—
390D61—21no—
391D61—81no—
392C22×#41—611no—
393C22×M16—611no—
394C22×M16—611no—
395C22×M16—611no—
396C23×C8—611no—
397C2×#117—611no—
398C2×#117—611no—
399#413—1222no—
400#413—1222no—
401C2×#101—612no—
402C2×#100—612no—
403#410—1222no—
404#410—1222no—
405C2×#99—612no—
406C2×#99—612no—
407#408—1221no—
408#408—1221no—
409#408—1221no—
410#408—1221no—
411C2×C22⋊C8—611no—
412C2×C22⋊C8—611no—
413C2×C22⋊C8—611no—
414C2×C22⋊C8#692311yescharacteristic, complemented
415#405—1222no—
416#405—1222no—
417C2×#97—1221no—
418C2×C4×C8—1221no—
419#344—1222no—
420#344—1222no—
421#336—1221no—
422#336—1221no—
423C61#1096111yescharacteristic, complemented, Sylow
424C2×#41—1221no—
425C2×#41—1221no—
426C2×#41—1221no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41—1221no—
430C2×#41—1221no—
431C2×#41—1221no—
432C2×#41—1221no—
433C2×#41—1221no—
434C2×#41—1221no—
435C2×#41—1221no—
436C22×Q8—611no—
437C22×D4—611no—
438C22×D4—611no—
439C22×D4—611no—
440C23×C4—611no—
441C23×C4—611no—
442C23×C4C2×#692311yescharacteristic
443C2×M16—612no—
444C2×M16—612no—
445C2×M16—612no—
446C2×M16—612no—
447C2×M16—1221no—
448C2×M16—1221no—
449C2×M16—1221no—
450C2×M16—1221no—
451C2×M16—1221no—
452C2×M16—1221no—
453C2×M16—1221no—
454C2×M16—1221no—
455C2×M16—1221no—
456C2×M16—1221no—
457C2×M16—1221no—
458C2×M16—1221no—
459C2×M16—1221no—
460C2×M16—1221no—
461C22×C8—611no—
462C22×C8—611no—
463C22×C8—611no—
464C22×C8—611no—
465C22×C8—611no—
466C22×C8—611no—
467C22×C8—1221no—
468C22×C8—1221no—
469C22×C8—1221no—
470C22×C8—1221no—
471C22×C8—1221no—
472C22×C8—1221no—
473C22×C8C2×#692311yescharacteristic
474C22×C8C2×#692311yescharacteristic
475#117—612no—
476#117—612no—
477#117—1221no—
478#117—1221no—
479#117—1221no—
480#117—1221no—
481#117—1221no—
482#117—1221no—
483C2×C4⋊C4—1221no—
484C2×C4⋊C4—1221no—
485C2×C22⋊C4—612no—
486C2×C22⋊C4—612no—
487C2×C42—1221no—
488C2×C42—1221no—
489#101—1224no—
490#100—1224no—
491#99—1224no—
492#99—1224no—
493C22⋊C8—21no—
494C22⋊C8—21no—
495C22⋊C8—1221no—
496C22⋊C8—1221no—
497C22⋊C8—1221no—
498C22⋊C8—1221no—
499C22⋊C8—1221no—
500C22⋊C8—1221no—
501#97—1224no—
502C4×C8—1224no—
503C24—611no—
504C24—611no—
505C24C4×#692311yescharacteristic
506#41—2441no—
507#41—2441no—
508#41—2441no—
509#41—2441no—
510#41—2441no—
511#41—2441no—
512#41—2441no—
513#41—2441no—
514#41—2441no—
515#41—2441no—
516#41—2441no—
517#41—2441no—
518#41—2441no—
519#41—2441no—
520#41—2441no—
521#41—2441no—
522C2×Q8—1221no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×D4—1221no—
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—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—611no—
566C22×C4—1222no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1222no—
574C22×C4C4×#692311yescharacteristic
575C22×C4C22×#692311yescharacteristic
576M16—614no—
577M16—1222no—
578M16—1222no—
579M16—1222no—
580M16—1222no—
581M16—1222no—
582M16—2441no—
583M16—2441no—
584M16—2441no—
585M16—2441no—
586M16—2441no—
587M16—2441no—
588C2×C8—21no—
589C2×C8—21no—
590C2×C8—21no—
591C2×C8—21no—
592C2×C8—21no—
593C2×C8—611no—
594C2×C8—611no—
595C2×C8—1221no—
596C2×C8—1221no—
597C2×C8—1221no—
598C2×C8—1221no—
599C2×C8—1221no—
600C2×C8—1221no—
601C2×C8—1221no—
602C2×C8—1221no—
603C2×C8—1222no—
604C2×C8—1222no—
605C2×C8—1222no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—1222no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—2441no—
613C2×C8—2441no—
614C2×C8C22⋊#692311yescharacteristic
615C2×C8C22⋊#692311yescharacteristic
616C4⋊C4—1222no—
617C4⋊C4—1222no—
618C4⋊C4—2441no—
619C4⋊C4—2441no—
620C22⋊C4—614no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C42—1222no—
625C42—1222no—
626C42—2441no—
627C42—2441no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—611no—
634C23—611no—
635C23—611no—
636C23—611no—
637C23—611no—
638C23—611no—
639C23—1221no—
640C23—1221no—
641C23—1221no—
642C23—2441no—
643C23—2441no—
644C23—2441no—
645C23—2441no—
646C23C2×C4×#692311yescharacteristic
647Q8—2441no—
648Q8—2441no—
649Q8—2441no—
650Q8—2441no—
651D4—2441no—
652D4—2441no—
653D4—2441no—
654D4—2441no—
655D4—2441no—
656D4—2441no—
657D4—2441no—
658D4—2441no—
659D4—2441no—
660D4—2441no—
661D4—2441no—
662D4—2441no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—611no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—611no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—611no—
688C2×C4—611no—
689C2×C4—611no—
690C2×C4—611no—
691C2×C4—611no—
692C2×C4—1224no—
693C2×C4—1221no—
694C2×C4—1221no—
695C2×C4—1221no—
696C2×C4—2442no—
697C2×C4—2442no—
698C2×C4—2442no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4—2441no—
702C2×C4—2441no—
703C2×C4—2441no—
704C2×C4—2441no—
705C2×C4C2×C22⋊#692311yescharacteristic
706C2×C4#1451985611yescharacteristic
707C2×C4D4×#692311yescharacteristic
708C2×C4D4×#692311yescharacteristic
709C2×C4D4×#692311yescharacteristic
710C2×C4D4×#692311yescharacteristic
711C8—21no—
712C8—21no—
713C8—41no—
714C8—1224no—
715C8—1221no—
716C8—1221no—
717C8—2442no—
718C8—2441no—
719C22—21no—
720C22—21no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—81no—
725C22—81no—
726C22—611no—
727C22—611no—
728C22—611no—
729C22—611no—
730C22—1221no—
731C22—1221no—
732C22—1221no—
733C22—1221no—
734C22—4881no—
735C22—4881no—
736C22—2441no—
737C22—2441no—
738C22—2441no—
739C22—2441no—
740C22—2441no—
741C22—2441no—
742C22—2441no—
743C22C4×C22⋊#692311yescharacteristic
744C22C22⋊C4×#692311yescharacteristic
745C22C22⋊C4×#692311yescharacteristic
746C4—41no—
747C4—611no—
748C4—611no—
749C4—611no—
750C4—611no—
751C4—4882no—
752C4—2444no—
753C4—2441no—
754C4#1684071011yescharacteristic
755C4#1684071211yescharacteristic
756C4#1684071211yescharacteristic
757C4#1684071411yescharacteristic
758C2—21no—
759C2—21no—
760C2—81no—
761C2—1221no—
762C2—1221no—
763C2—1221no—
764C2—1221no—
765C2—4881no—
766C2#2146100011yescharacteristic
767C2#2146157411yescharacteristic
768C2#2146157511yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC23×C61C2×C42
FrattiniC22×C4C22×#6923
FittingC2×C22⋊C8×C61C4
socleC22×C61C4×C22⋊C4
prime radicalC22×#11758222C22
cosocleC22×C4×D61C23
hypercenterC2×C22⋊C8#6923
hypocenterC61#10961
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×C22⋊C8

Complements

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

NH ≅ G/Ntype
3. C2×#16840725C2semidirect
4. C2×#16840644C2semidirect
5. C2×#16840644C2semidirect
6. #21461484C2semidirect
14. C2×#14519838C4semidirect
15. C2×#14519837C4semidirect
35. C2×C22⋊#92418C4semidirect
36. C2×#14519689C4semidirect
37. C2×#14519689C4semidirect
38. C2×C22⋊C8×C61C4semidirect
414. C2×C22⋊C8#6923semidirect
423. C61#10961semidirect

Maximal subgroups

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

subgroupindex
C2×#168407482
C2×#168407412
C2×#168407252
C2×#168406442
#214614842
C2×#168397272
#1096161