Finite Group Databasebeta

← #29698614

Subgroups — #29698614

Order 15616.

888 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839834C211yesmaximal, characteristic
2#21448284C211yesmaximal, characteristic
3#21446542C211yesmaximal, characteristic, complemented
4#21446540C211yesmaximal, characteristic, complemented
5#21446002C211yesmaximal, characteristic, complemented
6#21446001C211yesmaximal, characteristic, complemented
7#21445997C211yesmaximal, characteristic, complemented
8#21445996C211yesmaximal, characteristic, complemented
9#21445935C211yesmaximal, characteristic, complemented
10#21445801C211yesmaximal, characteristic, complemented
11#21445801C211yesmaximal, characteristic, complemented
12#21445673C211yesmaximal, characteristic, complemented
13#21445517C211yesmaximal, characteristic, complemented
14#21445515C211yesmaximal, characteristic, complemented
15C2×C61×#435C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C23×#92418C2211yescharacteristic
18C2×#14519736C2211yescharacteristic
19C2×#14519736C2211yescharacteristic
20#16839834—24no—
21C2×C4⋊#92418C2211yescharacteristic
22C2×#14519706C2211yescharacteristic
23C2×#14519706C2211yescharacteristic
24C2×#14519706C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28C2×C22⋊#92418C2211yescharacteristic
29C2×C22⋊#92418C2211yescharacteristic
30C2×#14519688C2211yescharacteristic
31#16839665C411yescharacteristic
32#16839665C411yescharacteristic
33#16839661C411yescharacteristic
34#16839661C411yescharacteristic
35#16839655C411yescharacteristic
36#16839655C411yescharacteristic
37#16839655C411yescharacteristic
38#16839655C411yescharacteristic
39C4×C4⋊Dic61C2211yescharacteristic
40C4×C22⋊Dic61C2211yescharacteristic
41C4×C22⋊Dic61C2211yescharacteristic
42C42×Dic61C2211yescharacteristic
43#16839516C2211yescharacteristic
44#16839516C2211yescharacteristic
45#16839516C2211yescharacteristic
46#16839516C2211yescharacteristic
47#16839516C2211yescharacteristic
48#16839516C2211yescharacteristic
49#16839516C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53C22×M16×C61C2211yescharacteristic
54C23×C8×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C61×#435—24no—
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C2×#97×C61C2211yescharacteristic
61C2×#11758194—22no—
62C2×#11758194—22no—
63C2×#11758194—41no—
64C22×#92418—22no—
65C22×#92418—22no—
66C22×#92418—41no—
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519736—41no—
72#14519736—41no—
73#14519736—41no—
74#14519736—41no—
75C2×C4⋊Dic61C2×C411yescharacteristic
76C2×C4⋊Dic61C2×C411yescharacteristic
77C2×C4⋊Dic61C2×C411yescharacteristic
78C2×C4⋊Dic61C2×C411yescharacteristic
79C2×C4⋊Dic61C2×C411yescharacteristic
80C2×C4⋊Dic61C2×C411yescharacteristic
81C2×C22⋊Dic61C2×C411yescharacteristic
82C2×C22⋊Dic61C2×C411yescharacteristic
83C2×C22⋊Dic61C2×C411yescharacteristic
84C2×C22⋊Dic61C2×C411yescharacteristic
85C2×C22⋊Dic61C2×C411yescharacteristic
86C2×C22⋊Dic61C2×C411yescharacteristic
87C2×C22⋊Dic61C2×C411yescharacteristic
88C2×C22⋊Dic61C2×C411yescharacteristic
89C2×C4×Dic61C2×C411yescharacteristic
90C2×C4×Dic61C2×C411yescharacteristic
91C2×C4×Dic61C2×C411yescharacteristic
92C2×C4×Dic61C2×C411yescharacteristic
93C2×C4×Dic61C2311yescharacteristic
94C2×C4×Dic61C2311yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C4⋊#92418—22no—
98#14519706—22no—
99#14519706—22no—
100#14519706—41no—
101#14519706—41no—
102#14519706—41no—
103#14519706—41no—
104C22⋊#92418—22no—
105C22⋊#92418—22no—
106#14519688—22no—
107#14519684C2×C411yescharacteristic
108#14519684C2×C411yescharacteristic
109#14519684C2×C411yescharacteristic
110#14519684C2×C411yescharacteristic
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113C22×D4×C61C2×C411yescharacteristic
114C23×C4×C61C2311yescharacteristic
115C23×C4×C61C2311yescharacteristic
116C2×M16×C61—22no—
117C2×M16×C61—22no—
118C2×M16×C61—41no—
119C22×C8×C61—22no—
120C22×C8×C61—22no—
121C22×C8×C61—41no—
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C4×D4×C61D414yes—
127C4×D4×C61Q814yes—
128C2×C4⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61C2×C411yescharacteristic
130C2×C22⋊C4×C61C2×C411yescharacteristic
131C2×C42×C61C2311yescharacteristic
132C4⋊C8×C61—22no—
133C22⋊C8×C61—22no—
134C22⋊C8×C61—22no—
135#97×C61—22no—
136C24×C61C22×C411yescharacteristic
137C24×C61C22×C411yescharacteristic
138C2×D4×C61—41no—
139C2×D4×C61—41no—
140C2×D4×C61C4⋊C414yes—
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×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2×D412yes—
155C22×C4×C61C2×Q812yes—
156C22×C4×C61C2×Q812yes—
157C22×C4×C61C2411yescharacteristic
158C22×Dic61C22×C411yescharacteristic
159C22×Dic61C22×C411yescharacteristic
160C22×Dic61C22×C411yescharacteristic
161C22×Dic61C22×C411yescharacteristic
162C22×Dic61C22×C411yescharacteristic
163C22×Dic61C22×C411yescharacteristic
164C22×Dic61C22×C411yescharacteristic
165C22×Dic61C22×C411yescharacteristic
166M16×C61—44no—
167C2×C8×C61—21no—
168C2×C8×C61—21no—
169C2×C8×C61—21no—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—44no—
179C2×C8×C61#4112yes—
180C4⋊C4×C61C4⋊C414yes—
181C22⋊C4×C61C4⋊C414yes—
182C22⋊C4×C61C4⋊C414yes—
183C42×C61C2×D412yes—
184C42×C61C2×Q812yes—
185C22⋊Dic61—22no—
186C22⋊Dic61—22no—
187C22⋊Dic61—41no—
188C22⋊Dic61—41no—
189C22⋊Dic61—41no—
190C22⋊Dic61—41no—
191C22⋊Dic61—41no—
192C22⋊Dic61—41no—
193C4⋊Dic61—41no—
194C4⋊Dic61—41no—
195C4⋊Dic61—41no—
196C4⋊Dic61—41no—
197C4⋊Dic61—41no—
198C4⋊Dic61—41no—
199C4×Dic61—21no—
200C4×Dic61—21no—
201C4×Dic61—21no—
202C4×Dic61—21no—
203C4×Dic61—21no—
204C4×Dic61—21no—
205C4×Dic61—21no—
206C4×Dic61—21no—
207C4×Dic61—22no—
208C4×Dic61—41no—
209C4×Dic61—41no—
210C4×Dic61—41no—
211#11758194—44no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—44no—
224C2×#92418#4112yes—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61C2×C4⋊C412yes—
238C23×C61C2×C4⋊C412yes—
239C23×C61C23×C411yescharacteristic
240D4×C61—44no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61C2×C4⋊C412yes—
258C2×C4×C61C2×C4⋊C412yes—
259C2×C4×C61C2×C4⋊C412yes—
260C2×C4×C61C2×C4⋊C412yes—
261C2×C4×C61C22×D411yescharacteristic
262C2×C4×C61C22×Q811yescharacteristic
263C2×C4×C61C2×#4111yescharacteristic
264C2×C4×C61C2×#4111yescharacteristic
265C2×C4×C61H(5,𝔽2)11yescharacteristic
266C2×C4×C61H(5,𝔽2)11yescharacteristic
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61#13112yes—
291C8×C61—22no—
292C8×C61—41no—
293C8×C61—41no—
294C8×C61—41no—
295#92418—22no—
296#92418—41no—
297#92418—41no—
298#92418—41no—
299#22702—611nomaximal, Sylow
300C22×C61—22no—
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61—41no—
309C22×C61—41no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61C22×C4⋊C411yescharacteristic
315C22×C61C4×#4111yescharacteristic
316C22×C61#51811yescharacteristic
317C22×C61C2×#13111yescharacteristic
318C22×C61#56811yescharacteristic
319C22×C61#56811yescharacteristic
320C22×C61#56811yescharacteristic
321C4×C61—22no—
322C4×C61—22no—
323C4×C61—22no—
324C4×C61—22no—
325C4×C61#54611yescharacteristic
326C4×C61#54611yescharacteristic
327C4×C61#55411yescharacteristic
328C4×C61#55411yescharacteristic
329Dic61—22no—
330Dic61—41no—
331Dic61—41no—
332Dic61—41no—
333Dic61—41no—
334Dic61—41no—
335Dic61—41no—
336Dic61—41no—
337C2×#435—611no—
338C2×#435D6111yescharacteristic
339#2293—611no—
340#1940—611no—
341#1940—611no—
342#1851—611no—
343#1851—611no—
344#1850—611no—
345#1850—611no—
346#1831—611no—
347#1798—611no—
348#1798—611no—
349#1767—611no—
350#1729—611no—
351#1729—611no—
352C2×C61—42no—
353C2×C61—42no—
354C2×C61#234911yescharacteristic
355C2×C61#290511yescharacteristic
356C2×C61#290611yescharacteristic
357C2×C61#296711yescharacteristic
358C2×C61#296811yescharacteristic
359C2×C61#298011yescharacteristic
360C2×C61#298111yescharacteristic
361C22×M16—611no—
362C22×M16C2×D6111yescharacteristic
363C23×C8—611no—
364C23×C8C2×D6111yescharacteristic
365C2×C4×D4C2×D6111yescharacteristic
366C2×#117—611no—
367C2×#117—611no—
368#435—24no—
369#435—1224no—
370C2×C4⋊C8—611no—
371C2×C4⋊C8—611no—
372C2×C4⋊C8—611no—
373C2×C4⋊C8—611no—
374C2×C4⋊C8—611no—
375C2×C4⋊C8—611no—
376C2×C4⋊C8—611no—
377C2×C4⋊C8C2×D6111yescharacteristic
378C2×C22⋊C8—611no—
379C2×C22⋊C8—611no—
380C2×C22⋊C8C2×D6111yescharacteristic
381C2×C22⋊C8C2×D6111yescharacteristic
382C2×#97—611no—
383C2×#97C2×D6111yescharacteristic
384#390—611no—
385#390—611no—
386#389—611no—
387#389—611no—
388#388—611no—
389#388—611no—
390#388—611no—
391#388—611no—
392C4×C4⋊C4—611no—
393C4×C22⋊C4—611no—
394C4×C22⋊C4—611no—
395C43—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402#336—611no—
403#336—611no—
404#336—611no—
405#336—611no—
406C61#2270211yescharacteristic, complemented, Sylow
407C22×D4C4×D6111yescharacteristic
408C23×C4C22×D6111yescharacteristic
409C23×C4C22×D6111yescharacteristic
410C2×M16—22no—
411C2×M16—22no—
412C2×M16—41no—
413C2×M16—1222no—
414C2×M16—1222no—
415C2×M16—2441no—
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—41no—
419C22×C8—611no—
420C22×C8—611no—
421C22×C8—611no—
422C22×C8—611no—
423C22×C8—1222no—
424C22×C8—1222no—
425C22×C8—2441no—
426C22×C8C22×D6111yescharacteristic
427C22×C8C22×D6111yescharacteristic
428C22×C8C22×D6111yescharacteristic
429C22×C8C22×D6111yescharacteristic
430C4×D4Dic12214yes—
431C4×D4C22⋊D6114yes—
432#117—2441no—
433#117—2441no—
434#117—2441no—
435#117—2441no—
436C2×C4⋊C4—611no—
437C2×C4⋊C4—611no—
438C2×C4⋊C4—611no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4C4×D6111yescharacteristic
443C2×C22⋊C4—611no—
444C2×C22⋊C4—611no—
445C2×C22⋊C4—611no—
446C2×C22⋊C4—611no—
447C2×C22⋊C4—611no—
448C2×C22⋊C4—611no—
449C2×C22⋊C4—611no—
450C2×C22⋊C4—611no—
451C2×C22⋊C4C4×D6111yescharacteristic
452C2×C22⋊C4C4×D6111yescharacteristic
453C2×C42—611no—
454C2×C42—611no—
455C2×C42—611no—
456C2×C42—611no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—611no—
460C2×C42—611no—
461C2×C42C22×D6111yescharacteristic
462C4⋊C8—22no—
463C4⋊C8—1222no—
464C4⋊C8—1222no—
465C4⋊C8—1222no—
466C4⋊C8—2441no—
467C4⋊C8—2441no—
468C4⋊C8—2441no—
469C4⋊C8—2441no—
470C22⋊C8—22no—
471C22⋊C8—22no—
472C22⋊C8—1222no—
473C22⋊C8—1222no—
474#97—22no—
475#97—1222no—
476#95—611no—
477#95—611no—
478#95—611no—
479#95—611no—
480#95—611no—
481#95—611no—
482C24C2×C4×D6111yescharacteristic
483C24C2×C4×D6111yescharacteristic
484C2×D4—41no—
485C2×D4—41no—
486C2×D4#1175819614yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—611no—
496C22×C4—611no—
497C22×C4—611no—
498C22×C4—611no—
499C22×C4—611no—
500C22×C4—611no—
501C22×C4—611no—
502C22×C4—611no—
503C22×C4C2×Dic12212yes—
504C22×C4C2×Dic12212yes—
505C22×C4C2×C4×D6111yescharacteristic
506C22×C4C2×C4×D6111yescharacteristic
507C22×C4C2×C4×D6111yescharacteristic
508C22×C4C2×C4×D6111yescharacteristic
509C22×C4C2×C22⋊D6112yes—
510C22×C4C2×C22⋊D6112yes—
511C22×C4C23×D6111yescharacteristic
512M16—44no—
513M16—2444no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—44no—
526C2×C8—612no—
527C2×C8—1221no—
528C2×C8—1221no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—2444no—
539C2×C8#1175822412yes—
540C4⋊C4—2441no—
541C4⋊C4—2441no—
542C4⋊C4—2441no—
543C4⋊C4—2441no—
544C4⋊C4—2441no—
545C4⋊C4—2441no—
546C4⋊C4#1175819614yes—
547C22⋊C4—1222no—
548C22⋊C4—1222no—
549C22⋊C4—2441no—
550C22⋊C4—2441no—
551C22⋊C4—2441no—
552C22⋊C4—2441no—
553C22⋊C4—2441no—
554C22⋊C4—2441no—
555C22⋊C4#1175819614yes—
556C22⋊C4#1175819614yes—
557C42—1222no—
558C42—1221no—
559C42—1221no—
560C42—1221no—
561C42—1221no—
562C42—1221no—
563C42—1221no—
564C42—1221no—
565C42—1221no—
566C42—2441no—
567C42—2441no—
568C42—2441no—
569C42C2×Dic12212yes—
570C42C2×C22⋊D6112yes—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23C2×#1175819612yes—
584C23C2×#1175819612yes—
585C23C22×C4×D6111yescharacteristic
586D4—44no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—612no—
604C2×C4—1221no—
605C2×C4—1221no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1221no—
610C2×C4—1221no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—1221no—
618C2×C4—1221no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4C2×#1175819612yes—
628C2×C4C2×#1175819612yes—
629C2×C4C2×#1175819612yes—
630C2×C4C2×#1175819612yes—
631C2×C4C22×C22⋊D6111yescharacteristic
632C2×C4C22×Dic12211yescharacteristic
633C2×C4#41×D6111yescharacteristic
634C2×C4C2×#1175822411yescharacteristic
635C2×C4#1451982211yescharacteristic
636C2×C4#1451982311yescharacteristic
637C8—22no—
638C8—41no—
639C8—41no—
640C8—41no—
641C8—1222no—
642C8—2441no—
643C8—2441no—
644C8—2441no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22C22×#1175819611yescharacteristic
660C22C4×#1175822411yescharacteristic
661C22#1684023411yescharacteristic
662C22#131×D6111yescharacteristic
663C22#1684052711yescharacteristic
664C22#1684052811yescharacteristic
665C22#1684052811yescharacteristic
666C4—22no—
667C4—22no—
668C4—22no—
669C4—22no—
670C4—1222no—
671C4—2441no—
672C4—2441no—
673C4—2441no—
674C4—2441no—
675C4—2441no—
676C4—2441no—
677C4—2441no—
678C4#1684040011yescharacteristic
679C4#1684040611yescharacteristic
680C4#1684046911yescharacteristic
681C4#1684047111yescharacteristic
682C2—42no—
683C2—42no—
684C2#2144872411yescharacteristic
685C2#2145438211yescharacteristic
686C2#2145438511yescharacteristic
687C2#2145480111yescharacteristic
688C2#2145481011yescharacteristic
689C2#2145488711yescharacteristic
690C2#2145489111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC2×C61×#435C2
prime radicalC22×D4×C61C2×C4
cosocleC22×C4×C61C24
hypercenterC2×#435D61
hypocenterC61#22702
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
3. #21446542C2semidirect
4. #21446540C2semidirect
5. #21446002C2semidirect
6. #21446001C2semidirect
7. #21445997C2semidirect
8. #21445996C2semidirect
9. #21445935C2semidirect
10. #21445801C2semidirect
11. #21445801C2semidirect
12. #21445673C2semidirect
13. #21445517C2semidirect
14. #21445515C2semidirect
406. C61#22702semidirect

Maximal subgroups

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

subgroupindex
C2×#168398342
#214482842
#214465422
#214465402
#214460022
#214460012
#214459972
#214459962
#214459352
#214458012
#214456732
#214455172
#214455152
C2×C61×#4352
#2270261