Finite Group Databasebeta

← #29688930

Subgroups — #29688930

Order 15616.

1470 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840271C211yesmaximal, characteristic
2C2×#16839725C211yesmaximal, characteristic, complemented
3C2×#16839724C211yesmaximal, characteristic, complemented
4#21446117C211yesmaximal, characteristic, complemented
5#21446116C211yesmaximal, characteristic, complemented
6#21446115C212yesmaximal, complemented
7#21446114C211yesmaximal, characteristic, complemented
8#21446113C212yesmaximal, complemented
9#21445889C212yesmaximal, complemented
10#21445730C212yesmaximal, complemented
11C61×#1870C211yesmaximal, characteristic, complemented
12C22×#11758222C2211yescharacteristic
13C23×C4×D61C2211yescharacteristic
14C22×#11758194C2211yescharacteristic
15C22×#11758189C2212yes—
16#16840271—24no—
17#16840271—24no—
18C2×#14519762C411yescharacteristic
19C2×#14519759C411yescharacteristic
20C2×#14519755C411yescharacteristic
21C2×#14519754C411yescharacteristic
22C2×#14519750C411yescharacteristic
23C2×#14519749C411yescharacteristic
24C2×#14519747C411yescharacteristic
25C2×#14519745C411yescharacteristic
26C2×C4×D244C2211yescharacteristic
27C2×C4×C22⋊D61C2211yescharacteristic
28C2×C4×C22⋊D61C2211yescharacteristic
29C2×#14519734C2211yescharacteristic
30#16839725—24no—
31#16839724—24no—
32C2×C22⋊#92418C2211yescharacteristic
33C2×C22⋊#92418C2212yescomplemented
34C2×#14519689C2212yes—
35C2×#14519689C2212yes—
36C2×#14519689C2212yes—
37C2×#14519689C2212yescomplemented
38C2×#14519689C2212yescomplemented
39#16839517C2212yescomplemented
40#16839516C2212yescomplemented
41#16839516C2212yescomplemented
42C22×M16×C61C2211yescharacteristic
43C2×C4×D4×C61C2211yescharacteristic
44C2×C22⋊C8×C61C2211yescharacteristic
45C2×C22⋊C8×C61C2212yescomplemented
46C61×#336C2212yescomplemented
47C24×D61C2×C411yescharacteristic
48C2×#11758222—22no—
49C2×#11758222—22no—
50C2×#11758222—42no—
51C2×#11758222—42no—
52C22×Dic122C2×C411yescharacteristic
53C22×D244C2×C411yescharacteristic
54C22×D244C2×C411yescharacteristic
55C22×C22⋊D61C2×C411yescharacteristic
56C22×C22⋊D61C2×C411yescharacteristic
57C22×C22⋊D61C2×C411yescharacteristic
58C22×C22⋊D61C2×C411yescharacteristic
59C23×Dic61C2×C411yescharacteristic
60C22×C4×D61—42no—
61C22×C4×D61—42no—
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61D414yes—
65C22×C4×D61D414yes—
66C22×C4×D61C2311yescharacteristic
67C22×C4×D61C2311yescharacteristic
68C22×C4×D61C2311yescharacteristic
69C2×#11758194—22no—
70C2×#11758194—42no—
71C2×#11758189—24no—
72C2×#11758189—42no—
73C2×#11758189—42no—
74C22×#92418C2312yes—
75C22×#92418C2312yes—
76#14519762—24no—
77#14519759—24no—
78#14519755—24no—
79#14519754—24no—
80#14519750—24no—
81#14519749—24no—
82#14519747—24no—
83#14519745—24no—
84C4×D244—22no—
85C4×D244—22no—
86C4×C22⋊D61—22no—
87C4×C22⋊D61—22no—
88C4×C22⋊D61—22no—
89C4×C22⋊D61—22no—
90#14519734—22no—
91#14519734—22no—
92C2×C4⋊Dic61C2×C411yescharacteristic
93C2×#11758196C2×C411yescharacteristic
94C2×#11758196C2×C411yescharacteristic
95C2×#11758196C2×C411yescharacteristic
96C2×#11758196C2×C411yescharacteristic
97C2×C22⋊Dic61C2×C411yescharacteristic
98C2×C22⋊Dic61C2×C411yescharacteristic
99C2×#11758198C2×C411yescharacteristic
100C2×#11758198C2×C411yescharacteristic
101C2×#11758198C2×C411yescharacteristic
102C2×#11758198C2×C411yescharacteristic
103C2×#11758198C2×C411yescharacteristic
104C2×#11758198C2×C411yescharacteristic
105C2×C4×Dic61C2311yescharacteristic
106C22⋊#92418—22no—
107C22⋊#92418—42no—
108#14519689—24no—
109#14519689—24no—
110#14519689—24no—
111#14519689—42no—
112#14519689—42no—
113C22×D4×C61C2×C411yescharacteristic
114C23×C4×C61C2311yescharacteristic
115C23×C4×C61C2311yescharacteristic
116C2×M16×C61—22no—
117C2×M16×C61—42no—
118C22×C8×C61C2312yes—
119C22×C8×C61C2312yes—
120C4×D4×C61—22no—
121C4×D4×C61—22no—
122C2×C4⋊C4×C61C2×C411yescharacteristic
123C2×C22⋊C4×C61C2×C411yescharacteristic
124C2×C22⋊C4×C61C2×C411yescharacteristic
125C2×C42×C61C2311yescharacteristic
126C22⋊C8×C61—22no—
127C22⋊C8×C61—42no—
128C24×C61C22×C411yescharacteristic
129C24×C61C22×C411yescharacteristic
130C23×D61—42no—
131C23×D61—42no—
132C23×D61—41no—
133C23×D61—41no—
134C23×D61C22⋊C414yes—
135C23×D61C22×C411yescharacteristic
136C23×D61C22×C411yescharacteristic
137C23×D61C22×C411yescharacteristic
138C2×D4×C61—22no—
139C2×D4×C61—41no—
140C2×D4×C61—41no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61C22×C411yescharacteristic
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C2×D412yes—
152C22×C4×C61C2×D412yes—
153C22×C4×C61C2411yescharacteristic
154C2×C22⋊D61—22no—
155C2×C22⋊D61—22no—
156C2×C22⋊D61—22no—
157C2×C22⋊D61—22no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—41no—
160C2×C22⋊D61—41no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C22×Dic61—42no—
164C22×Dic61C22⋊C414yes—
165C22×Dic61C22×C411yescharacteristic
166C22×Dic61C22×C411yescharacteristic
167C22×Dic61C22×C411yescharacteristic
168C22×Dic61C22×C411yescharacteristic
169C22×Dic61C22×C411yescharacteristic
170#11758222—48no—
171#11758222—44no—
172#11758222—44no—
173C2×D244—22no—
174C2×D244—22no—
175C2×D244—42no—
176C2×D244—42no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—22no—
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×C4×D61—22no—
184C2×C4×D61—22no—
185C2×C4×D61—48no—
186C2×C4×D61—44no—
187C2×C4×D61—44no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61C22⋊C414yes—
191C2×C4×D61C22⋊C414yes—
192C2×C4×D61C2×D412yes—
193C2×C4×D61C2×D412yes—
194C2×C4×D61C2×D412yes—
195C2×C4×D61C2×D412yes—
196C2×Dic122—22no—
197C2×Dic122—42no—
198M16×C61—44no—
199C2×C8×C61—22no—
200C2×C8×C61—22no—
201C2×C8×C61—22no—
202C2×C8×C61—22no—
203C2×C8×C61—22no—
204C2×C8×C61—22no—
205C4⋊C4×C61—22no—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C42×C61—21no—
209C42×C61—21no—
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212#11758198—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216#11758198—22no—
217#11758198—22no—
218C4⋊Dic61—22no—
219#11758196—22no—
220#11758196—22no—
221#11758196—22no—
222#11758196—22no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225#11758194—44no—
226C2×#92418—22no—
227C2×#92418—22no—
228C2×#92418—22no—
229C2×#92418—22no—
230C2×#92418—22no—
231C2×#92418—22no—
232#11758189—48no—
233C23×C61—22no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—22no—
237C23×C61—21no—
238C23×C61—22no—
239C23×C61—22no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61C2×C22⋊C412yes—
243C23×C61C23×C411yescharacteristic
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—21no—
256C22×D61—21no—
257C22×D61—44no—
258C22×D61—44no—
259C22×D61—44no—
260C22×D61—48no—
261C22×D61—48no—
262C22×D61C2×C22⋊C412yes—
263C22×D61C2×C22⋊C412yes—
264D4×C61—44no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—42no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61C2×C22⋊C412yes—
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61H(5,𝔽2)12yes—
283C2×C4×C61H(5,𝔽2)12yes—
284C22⋊D61—44no—
285C22⋊D61—44no—
286C22⋊D61—44no—
287C22⋊D61—44no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—44no—
298C2×Dic61C2×C22⋊C412yes—
299C2×Dic61C2×C22⋊C412yes—
300D244—44no—
301D244—44no—
302C4×D61—24no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—24no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—44no—
309C4×D61—44no—
310C4×D61—42no—
311C4×D61—41no—
312C4×D61—41no—
313Dic122—44no—
314C8×C61—42no—
315C8×C61—42no—
316#92418—42no—
317#92418—42no—
318#21743—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61C22×C22⋊C411yescharacteristic
330C22×C61#51812yes—
331C22×C61#56812yes—
332C22×C61#56811yescharacteristic
333C22×C61#56811yescharacteristic
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—416no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—42no—
349C2×D61—42no—
350C4×C61—22no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61#53412yes—
355C4×C61#53411yescharacteristic
356C4×C61#53411yescharacteristic
357Dic61—22no—
358Dic61—22no—
359Dic61—41no—
360Dic61—41no—
361Dic61—41no—
362C2×#525—611no—
363C2×#407—611no—
364C2×#407—611no—
365#1870—611no—
366#1870—612no—
367#1870—612no—
368#1870—611no—
369#1870—611no—
370#1870D6111yescharacteristic, complemented
371#1818—612no—
372#1780—612no—
373C2×C61—42no—
374C2×C61—81no—
375C2×C61#230811yescharacteristic
376C2×C61#287911yescharacteristic
377C2×C61#287911yescharacteristic
378C2×C61#297812yes—
379C2×C61#297812yes—
380D61—42no—
381D61—42no—
382D61—81no—
383C22×#41—611no—
384C24×C4—611no—
385C22×M16—611no—
386C22×M16—612no—
387C22×M16C2×D6111yescharacteristic
388#525—1224no—
389#525—1224no—
390C2×#123—611no—
391C2×#123—611no—
392C2×C22⋊Q8—611no—
393C2×C22⋊Q8—611no—
394C2×#121—611no—
395C2×#121—611no—
396C2×#120—611no—
397C2×#120—611no—
398C2×C4×D4—611no—
399C2×C4×D4—611no—
400C2×C4×D4—611no—
401C2×C4×D4C2×D6111yescharacteristic
402C2×#117—611no—
403#407—1224no—
404#407—1224no—
405C2×C22⋊C8—611no—
406C2×C22⋊C8—612no—
407C2×C22⋊C8—612no—
408C2×C22⋊C8—612no—
409C2×C22⋊C8—612no—
410C2×C22⋊C8—612no—
411C2×C22⋊C8—612no—
412C2×C22⋊C8C2×D6111yescharacteristic
413C2×C22⋊C8C2×D6112yescomplemented
414#336—612no—
415#336—612no—
416#336—612no—
417#336C2×D6112yescomplemented
418C61#2174311yescharacteristic, complemented, Sylow
419C25—611no—
420C2×#41—1222no—
421C2×#41—1222no—
422C2×#41—2442no—
423C2×#41—2442no—
424C22×Q8—611no—
425C22×D4—611no—
426C22×D4—611no—
427C22×D4—611no—
428C22×D4—611no—
429C22×D4—611no—
430C22×D4—611no—
431C22×D4C4×D6111yescharacteristic
432C23×C4—611no—
433C23×C4—611no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—614no—
438C23×C4—614no—
439C23×C4—611no—
440C23×C4—2442no—
441C23×C4—2442no—
442C23×C4C22×D6111yescharacteristic
443C23×C4C22×D6111yescharacteristic
444C2×M16—22no—
445C2×M16—42no—
446C2×M16—1224no—
447C2×M16—1222no—
448C2×M16—2442no—
449C2×M16—2442no—
450C2×M16—2442no—
451C22×C8—612no—
452C22×C8—612no—
453C22×C8C22×D6112yes—
454C22×C8C22×D6112yes—
455#123—1224no—
456#123—1224no—
457C22⋊Q8—1224no—
458C22⋊Q8—1224no—
459#121—1224no—
460#121—1224no—
461#120—1224no—
462#120—1224no—
463C4×D4—22no—
464C4×D4—22no—
465C4×D4—1222no—
466C4×D4—1222no—
467C4×D4—1222no—
468C4×D4—1222no—
469C4×D4—1222no—
470C4×D4—1222no—
471#117—1222no—
472#117—1222no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4—611no—
478C2×C4⋊C4C4×D6111yescharacteristic
479C2×C22⋊C4—611no—
480C2×C22⋊C4—611no—
481C2×C22⋊C4—611no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—611no—
484C2×C22⋊C4—611no—
485C2×C22⋊C4—611no—
486C2×C22⋊C4—611no—
487C2×C22⋊C4C4×D6111yescharacteristic
488C2×C22⋊C4C4×D6111yescharacteristic
489C2×C42—611no—
490C2×C42C22×D6111yescharacteristic
491C22⋊C8—22no—
492C22⋊C8—42no—
493C22⋊C8—1224no—
494C22⋊C8—1224no—
495C22⋊C8—1224no—
496C22⋊C8—1222no—
497C22⋊C8—2442no—
498C22⋊C8—2442no—
499C22⋊C8—2442no—
500C24—611no—
501C24—611no—
502C24—614no—
503C24—611no—
504C24—2442no—
505C24—2442no—
506C24—2441no—
507C24—2441no—
508C24C2×C4×D6111yescharacteristic
509C24C2×C4×D6111yescharacteristic
510#41—2448no—
511#41—2444no—
512#41—2444no—
513C2×Q8—1222no—
514C2×Q8—2442no—
515C2×D4—22no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—1222no—
519C2×D4—1222no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—2442no—
525C2×D4—2442no—
526C2×D4—2442no—
527C2×D4—2442no—
528C2×D4—2442no—
529C2×D4—2441no—
530C2×D4—2441no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—614no—
540C22×C4—612no—
541C22×C4—612no—
542C22×C4—612no—
543C22×C4—612no—
544C22×C4—614no—
545C22×C4—614no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—2448no—
558C22×C4—2444no—
559C22×C4—2444no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4C2×C4×D6111yescharacteristic
564C22×C4C2×C4×D6111yescharacteristic
565C22×C4C2×C4×D6111yescharacteristic
566C22×C4C2×C4×D6111yescharacteristic
567C22×C4D4×D6112yes—
568C22×C4D4×D6112yes—
569C22×C4C23×D6111yescharacteristic
570M16—44no—
571M16—2448no—
572M16—2444no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—1222no—
580C2×C8—1222no—
581C2×C8—1222no—
582C2×C8—1222no—
583C2×C8—1222no—
584C2×C8—1222no—
585C4⋊C4—22no—
586C4⋊C4—1222no—
587C4⋊C4—1222no—
588C4⋊C4—1222no—
589C4⋊C4—1222no—
590C4⋊C4—1222no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—1222no—
596C22⋊C4—1222no—
597C22⋊C4—1222no—
598C22⋊C4—1222no—
599C22⋊C4—1222no—
600C22⋊C4—1222no—
601C42—21no—
602C42—21no—
603C42—1221no—
604C42—1221no—
605C23—22no—
606C23—22no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—22no—
611C23—22no—
612C23—21no—
613C23—21no—
614C23—612no—
615C23—612no—
616C23—1222no—
617C23—1222no—
618C23—1222no—
619C23—1222no—
620C23—1221no—
621C23—1221no—
622C23—1221no—
623C23—1221no—
624C23—1221no—
625C23—1222no—
626C23—1222no—
627C23—1221no—
628C23—1221no—
629C23—2444no—
630C23—2444no—
631C23—2444no—
632C23—2448no—
633C23—2448no—
634C23C22⋊C4×D6112yes—
635C23C22×C4×D6111yescharacteristic
636Q8—2444no—
637D4—44no—
638D4—2444no—
639D4—2444no—
640D4—2444no—
641D4—2444no—
642D4—2444no—
643D4—2444no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—612no—
659C2×C4—612no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1224no—
663C2×C4—1224no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1221no—
674C2×C4—1221no—
675C2×C4—2444no—
676C2×C4—2444no—
677C2×C4—2444no—
678C2×C4—2442no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4C22⋊C4×D6112yes—
682C2×C4C2×D4×D6111yescharacteristic
683C2×C4C2×D4×D6111yescharacteristic
684C2×C4#1451982212yes—
685C2×C4#1451982312yes—
686C8—42no—
687C8—42no—
688C8—2442no—
689C8—2442no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—1222no—
701C22—1222no—
702C22—1222no—
703C22—1222no—
704C22—1222no—
705C22—1222no—
706C22—24416no—
707C22—2442no—
708C22—2442no—
709C22—2441no—
710C22—2441no—
711C22—2441no—
712C22—2442no—
713C22—2442no—
714C22—2442no—
715C22—2442no—
716C22C2×C22⋊C4×D6111yescharacteristic
717C22#1684023412yes—
718C22#1684052712yes—
719C22#1684052811yescharacteristic
720C22#1684052811yescharacteristic
721C4—22no—
722C4—41no—
723C4—41no—
724C4—41no—
725C4—1222no—
726C4—1222no—
727C4—2441no—
728C4—2441no—
729C4—2441no—
730C4#1684032012yes—
731C4#1684032211yescharacteristic
732C4#1684032311yescharacteristic
733C2—42no—
734C2—81no—
735C2—4881no—
736C2—2442no—
737C2—2442no—
738C2#2144839311yescharacteristic
739C2#2145426111yescharacteristic
740C2#2145426211yescharacteristic
741C2#2145487612yes—
742C2#2145487812yes—
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC61×#1870C2
prime radicalC2×#16840271C2
cosocleC22×C4×C61C24
hypercenter#1870D61
hypocenterC61#21743
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1870

Complements

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

NH ≅ G/Ntype
2. C2×#16839725C2semidirect
3. C2×#16839724C2semidirect
4. #21446117C2semidirect
5. #21446116C2semidirect
6. #21446115C2semidirect
7. #21446114C2semidirect
8. #21446113C2semidirect
9. #21445889C2semidirect
10. #21445730C2semidirect
11. C61×#1870C2semidirect
33. C2×C22⋊#92418C22semidirect
37. C2×#14519689C22semidirect
38. C2×#14519689C22semidirect
39. #16839517C22semidirect
40. #16839516C22semidirect
41. #16839516C22semidirect
45. C2×C22⋊C8×C61C22semidirect
46. C61×#336C22semidirect
370. #1870D61semidirect
413. C2×C22⋊C8C2×D61semidirect
417. #336C2×D61semidirect
418. C61#21743semidirect

Maximal subgroups

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

subgroupindex
C2×#168402712
C2×#168397252
C2×#168397242
#214461172
#214461162
#214461152
#214461142
#214461132
#214458892
#214457302
C61×#18702
#2174361