Finite Group Databasebeta

← #29723734

Subgroups — #29723734

Order 15616.

958 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840100C211yesmaximal, characteristic, complemented
2C2×#16839771C211yesmaximal, characteristic, complemented
3#21448768C211yesmaximal, characteristic
4#21447362C211yesmaximal, characteristic, complemented
5#21447227C211yesmaximal, characteristic, complemented
6#21447019C211yesmaximal, characteristic, complemented
7#21447012C211yesmaximal, characteristic, complemented
8#21446457C211yesmaximal, characteristic, complemented
9#21446457C211yesmaximal, characteristic, complemented
10#21446132C211yesmaximal, characteristic, complemented
11#21446117C211yesmaximal, characteristic
12#21446016C211yesmaximal, characteristic, complemented
13#21445850C211yesmaximal, characteristic, complemented
14#21445754C211yesmaximal, characteristic, complemented
15C61×#2409C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C2×#14519736C2211yescharacteristic
18C2×#14519736C2211yescharacteristic
19#16840100—24no—
20C2×#14519710C2211yescharacteristic
21C2×#14519710C2211yescharacteristic
22C2×#14519708C2211yescharacteristic
23C2×#14519708C2211yescharacteristic
24#16839771—24no—
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519701C2211yescharacteristic
33C2×C22⋊#92418C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×C22⋊#92418C2211yescharacteristic
36#16839665—21no—
37#16839655—21no—
38#16839655—21no—
39#16839632C2211yescharacteristic
40#16839622C2211yescharacteristic
41#16839622C2211yescharacteristic
42C4⋊C4×Dic61—21no—
43C4×C4⋊Dic61C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C23×Q8×C61C2211yescharacteristic
51C2×C22⋊Q8×C61C2211yescharacteristic
52C2×C22⋊Q8×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C61×#395—21no—
55C61×#393—21no—
56C61×#391C2211yescharacteristic
57C61×#391C2211yescharacteristic
58C61×#386—21no—
59C61×#385—21no—
60C61×#380C2211yescharacteristic
61C2×#11758194—22no—
62C2×#11758194—22no—
63C2×#11758194—41no—
64C22×#92418C2311yescharacteristic
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68#14519736—22no—
69#14519736—22no—
70#14519736—41no—
71#14519736—41no—
72C2×C4⋊Dic61—21no—
73C2×C4⋊Dic61—21no—
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C22⋊Dic61—21no—
79C2×C22⋊Dic61—21no—
80C2×C22⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C4×Dic61—21no—
83C2×C4×Dic61—21no—
84C2×C4×Dic61—21no—
85#14519710—22no—
86#14519710—41no—
87#14519708—22no—
88#14519708—41no—
89#14519701—22no—
90#14519701—22no—
91#14519701—22no—
92#14519701—22no—
93#14519701—22no—
94#14519701—41no—
95#14519701—41no—
96#14519701D414yescomplemented
97C22⋊#92418—22no—
98C22⋊#92418—22no—
99C22⋊#92418—41no—
100#14519684—21no—
101#14519684—21no—
102#14519684—21no—
103C22×Q8×C61—21no—
104C22×Q8×C61—22no—
105C22×Q8×C61—22no—
106C22×Q8×C61—22no—
107C22×Q8×C61—22no—
108C22×Q8×C61—41no—
109C22×Q8×C61—41no—
110C22×Q8×C61C2311yescharacteristic
111C22×Q8×C61C2311yescharacteristic
112C22×D4×C61D411yescharacteristic
113C23×C4×C61—21no—
114C23×C4×C61C2311yescharacteristic
115C23×C4×C61C2311yescharacteristic
116C22⋊Q8×C61—22no—
117C22⋊Q8×C61—22no—
118C22⋊Q8×C61—41no—
119C22⋊Q8×C61—41no—
120C4×D4×C61—22no—
121C4×D4×C61—22no—
122C2×C4⋊C4×C61—21no—
123C2×C4⋊C4×C61—21no—
124C2×C4⋊C4×C61D411yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61—21no—
129C2×C22⋊C4×C61—21no—
130C2×C22⋊C4×C61D411yescharacteristic
131C2×C22⋊C4×C61D411yescharacteristic
132C2×C42×C61C2311yescharacteristic
133#95×C61—21no—
134#95×C61—21no—
135#95×C61—21no—
136#95×C61—21no—
137#95×C61—21no—
138C24×C61C2×D411yescharacteristic
139C24×C61C2×D411yescharacteristic
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—28no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61—21no—
151C2×Q8×C61—42no—
152C2×Q8×C61—42no—
153C2×Q8×C61—44no—
154C2×Q8×C61—44no—
155C2×Q8×C61—44no—
156C2×Q8×C61—42no—
157C2×Q8×C61C2×D412yes—
158C2×Q8×C61#4112yes—
159C2×D4×C61—22no—
160C2×D4×C61—22no—
161C2×D4×C61—41no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—42no—
177C22×C4×C61—42no—
178C22×C4×C61—42no—
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61#4112yes—
184C22×C4×C61#4112yes—
185C22×C4×C61C2411yescharacteristic
186C22×Dic61—21no—
187C22×Dic61—21no—
188C22×Dic61—21no—
189C22×Dic61—21no—
190C4⋊C4×C61—22no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—42no—
196C4⋊C4×C61—42no—
197C22⋊C4×C61—22no—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—42no—
200C22⋊C4×C61—42no—
201C22⋊C4×C61—42no—
202C42×C61—21no—
203C42×C61—21no—
204C22⋊Dic61—42no—
205C22⋊Dic61—42no—
206C22⋊Dic61—81no—
207C22⋊Dic61—81no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216C4⋊Dic61—81no—
217C4⋊Dic61C2×D412yes—
218C4×Dic61—42no—
219C4×Dic61—42no—
220C4×Dic61—42no—
221#11758194—44no—
222C2×#92418—21no—
223C2×#92418—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×#92418C2×D412yes—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61—21no—
246C23×C61—21no—
247C23×C61#12312yes—
248C23×C61C22×D411yescharacteristic
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—22no—
252Q8×C61—22no—
253Q8×C61—48no—
254Q8×C61—41no—
255Q8×C61—41no—
256Q8×C61—41no—
257Q8×C61—41no—
258D4×C61—44no—
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—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—48no—
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—41no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61—41no—
290C2×C4×C61#12312yes—
291C2×C4×C61#13712yes—
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×C4×C61C2×#4111yescharacteristic
296C2×C4×C61H(5,𝔽2)11yescharacteristic
297C2×C4×C61H(5,𝔽2)11yescharacteristic
298C2×Dic61—22no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310#92418—22no—
311#92418—41no—
312#92418—41no—
313#92418—41no—
314#24892—611nomaximal, Sylow
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61C2×#12311yescharacteristic
330C22×C61D4211yescharacteristic
331C22×C61#54611yescharacteristic
332C22×C61C2×#13711yescharacteristic
333C22×C61#57511yescharacteristic
334C22×C61#57711yescharacteristic
335C22×C61#57811yescharacteristic
336C4×C61—22no—
337C4×C61—22no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61—42no—
341C4×C61—42no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61#52511yescharacteristic
345C4×C61#53811yescharacteristic
346C4×C61#54611yescharacteristic
347C4×C61#55111yescharacteristic
348Dic61—42no—
349Dic61—81no—
350Dic61—81no—
351Dic61—81no—
352C2×#485—611no—
353C2×#419—611no—
354#2409D6111yescharacteristic
355#2354—611no—
356#2096—611no—
357#2072—611no—
358#2036—611no—
359#2035—611no—
360#1928—611no—
361#1928—611no—
362#1873—611no—
363#1870—611no—
364#1854—611no—
365#1809—611no—
366#1787—611no—
367C2×C61—42no—
368C2×C61—81no—
369C2×C61#241811yescharacteristic
370C2×C61#309511yescharacteristic
371C2×C61#309711yescharacteristic
372C2×C61#326911yescharacteristic
373C2×C61#327811yescharacteristic
374C2×C61#332111yescharacteristic
375C2×C61#332811yescharacteristic
376C23×Q8C2×D6111yescharacteristic
377C22×M16—611no—
378C2×C22⋊Q8C2×D6111yescharacteristic
379C2×C22⋊Q8C2×D6111yescharacteristic
380C2×C4×D4C2×D6111yescharacteristic
381C2×#117—611no—
382C2×#117—611no—
383#485—1224no—
384C2×#107—611no—
385C2×#107—611no—
386C2×#106—611no—
387C2×#106—611no—
388#419—1224no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8—611no—
399C2×C22⋊C8—611no—
400#395—21no—
401#393—21no—
402#391C2×D6111yescharacteristic
403#391C2×D6111yescharacteristic
404#390—1221no—
405#388—1221no—
406#388—1221no—
407#386—21no—
408#385—21no—
409#384—611no—
410#380—611no—
411#380—611no—
412#380C2×D6111yescharacteristic
413C4×C4⋊C4—611no—
414C4×C4⋊C4—1221no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#336—611no—
420#336—611no—
421C61#2489211yescharacteristic, complemented, Sylow
422C22×Q8—21no—
423C22×Q8—22no—
424C22×Q8—22no—
425C22×Q8—22no—
426C22×Q8—22no—
427C22×Q8—41no—
428C22×Q8—41no—
429C22×Q8C22×D6111yescharacteristic
430C22×Q8C22×D6111yescharacteristic
431C22×D4C22⋊D6111yescharacteristic
432C23×C4—21no—
433C23×C4C22×D6111yescharacteristic
434C23×C4C22×D6111yescharacteristic
435C2×M16—1222no—
436C2×M16—1222no—
437C2×M16—2441no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8—611no—
441C22×C8—611no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—41no—
445C22⋊Q8—41no—
446C4×D4—22no—
447C4×D4—22no—
448#117—1222no—
449#117—1222no—
450#117—2441no—
451#117—2441no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4C22⋊D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4C22⋊D6111yescharacteristic
471C2×C22⋊C4C22⋊D6111yescharacteristic
472C2×C42—1221no—
473C2×C42—1221no—
474C2×C42—1221no—
475C2×C42C22×D6111yescharacteristic
476#107—1222no—
477#107—2441no—
478#106—1222no—
479#106—2441no—
480#103—614no—
481#103—1222no—
482#103—1222no—
483#103—1222no—
484#103—1222no—
485#103—1222no—
486#103—2441no—
487#103—2441no—
488C22⋊C8—1222no—
489C22⋊C8—1222no—
490C22⋊C8—2441no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24C2×C22⋊D6111yescharacteristic
500C24C2×C22⋊D6111yescharacteristic
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—28no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—42no—
513C2×Q8—42no—
514C2×Q8—44no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8—42no—
518C2×Q8D4×D6112yes—
519C2×Q8#1175822412yes—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—41no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4#1175822412yes—
545C22×C4#1175822412yes—
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551M16—2444no—
552C2×C8—612no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—612no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—4881no—
580C4⋊C4—2442no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—4881no—
587C22⋊C4—4881no—
588C22⋊C4—2442no—
589C22⋊C4—2442no—
590C42—21no—
591C42—21no—
592C42—2442no—
593C42—2442no—
594C42—2442no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23#1451975812yes—
609C23C22×C22⋊D6111yescharacteristic
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—48no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619D4—44no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—48no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
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—1222no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4#1451975812yes—
664C2×C4#1451980812yes—
665C2×C4C2×D4×D6111yescharacteristic
666C2×C4C2×#1175822411yescharacteristic
667C2×C4C2×#1175822411yescharacteristic
668C2×C4C2×#1175822411yescharacteristic
669C2×C4#1451982211yescharacteristic
670C2×C4#1451982211yescharacteristic
671C8—1222no—
672C8—2441no—
673C8—2441no—
674C8—2441no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22C2×#1451975811yescharacteristic
690C22D4×C22⋊D6111yescharacteristic
691C22#1684040611yescharacteristic
692C22C2×#1451980811yescharacteristic
693C22#1684056011yescharacteristic
694C22#1684057011yescharacteristic
695C22#1684057711yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—42no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4—4881no—
705C4—4881no—
706C4—4881no—
707C4—2442no—
708C4#1684026811yescharacteristic
709C4#1684034711yescharacteristic
710C4#1684039911yescharacteristic
711C4#1684044311yescharacteristic
712C2—42no—
713C2—81no—
714C2#2144927711yescharacteristic
715C2#2145576311yescharacteristic
716C2#2145578211yescharacteristic
717C2#2145737511yescharacteristic
718C2#2145748111yescharacteristic
719C2#2145800511yescharacteristic
720C2#2145810211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2409C2
socleC23×C61C22×D4
prime radicalC22×D4×C61D4
hypercenter#2409D61
hypocenterC61#24892
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2409

Complements

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

NH ≅ G/Ntype
1. C2×#16840100C2semidirect
2. C2×#16839771C2semidirect
4. #21447362C2semidirect
5. #21447227C2semidirect
6. #21447019C2semidirect
7. #21447012C2semidirect
8. #21446457C2semidirect
9. #21446457C2semidirect
10. #21446132C2semidirect
12. #21446016C2semidirect
13. #21445850C2semidirect
14. #21445754C2semidirect
96. #14519701D4semidirect
421. C61#24892semidirect

Maximal subgroups

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

subgroupindex
C2×#168401002
C2×#168397712
#214487682
#214473622
#214472272
#214470192
#214470122
#214464572
#214461322
#214461172
#214460162
#214458502
#214457542
C61×#24092
#2489261