Finite Group Databasebeta

← #29714368

Subgroups — #29714368

Order 15616.

1114 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840314C211yesmaximal, characteristic
2C2×#16840055C211yesmaximal, characteristic, complemented
3C2×#16839970C211yesmaximal, characteristic, complemented
4C22⋊Q8×Dic61C211yesmaximal, characteristic
5#21447023C211yesmaximal, characteristic
6#21447019C211yesmaximal, characteristic
7#21446827C211yesmaximal, characteristic
8#21446765C211yesmaximal, characteristic, complemented
9#21446740C211yesmaximal, characteristic, complemented
10#21446162C211yesmaximal, characteristic, complemented
11#21446157C211yesmaximal, characteristic, complemented
12#21446075C211yesmaximal, characteristic, complemented
13#21446074C211yesmaximal, characteristic, complemented
14#21445797C211yesmaximal, characteristic
15C61×#2001C211yesmaximal, characteristic
16C22×#11758202C2211yescharacteristic
17#16840314—24no—
18#16840314—24no—
19C2×#14519776C2211yescharacteristic
20C2×#14519775C2211yescharacteristic
21C2×#14519767—21no—
22C2×#14519756C2211yescharacteristic
23C2×#14519754—21no—
24C2×Q8×Dic61C2211yescharacteristic
25C2×Q8×Dic61C2211yescharacteristic
26C2×#14519742—21no—
27C2×#14519742C2211yescharacteristic
28C2×#14519733—21no—
29C22×C4×Dic61C2211yescharacteristic
30#16840055—24no—
31#16839970—24no—
32C2×#14519711C2211yescharacteristic
33C2×#14519710C2211yescharacteristic
34C2×#14519706C2211yescharacteristic
35C2×#14519706C2211yescharacteristic
36C2×#14519702C2211yescharacteristic
37C2×#14519702C2211yescharacteristic
38C2×#14519701C2211yescharacteristic
39C2×#14519701C2211yescharacteristic
40C2×#14519701C2211yescharacteristic
41C2×#14519700C2211yescharacteristic
42C2×C22⋊#92418C2211yescharacteristic
43#16839669C2211yescharacteristic
44#16839661C2211yescharacteristic
45#16839648—21no—
46#16839637—21no—
47#16839622C2211yescharacteristic
48C4⋊C4×Dic61—21no—
49C4⋊C4×Dic61C2211yescharacteristic
50C22⋊C4×Dic61—21no—
51#16839525C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C22×Q16×C61C2211yescharacteristic
57C2×C22⋊Q8×C61C2211yescharacteristic
58C2×C22⋊Q8×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#103×C61C2211yescharacteristic
61C2×C22⋊C8×C61C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122C2311yescharacteristic
65C23×Dic61D411yescharacteristic
66C23×Dic61D411yescharacteristic
67C2×#11758202—22no—
68C2×#11758202—22no—
69C2×#11758202—41no—
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72#14519776—22no—
73#14519776D414yes—
74#14519775—22no—
75#14519775D414yes—
76#14519767—28no—
77#14519756—22no—
78#14519756—22no—
79#14519754—28no—
80Q8×Dic61—22no—
81Q8×Dic61—22no—
82Q8×Dic61—22no—
83Q8×Dic61—22no—
84#14519742—28no—
85#14519742—22no—
86#14519742—22no—
87#14519733—28no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61—21no—
103C2×C4×Dic61—22no—
104C2×C4×Dic61—22no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61D411yescharacteristic
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61C2311yescharacteristic
110C2×C4×Dic61C2311yescharacteristic
111#14519711—22no—
112#14519710—22no—
113#14519706—22no—
114#14519706—22no—
115#14519702—22no—
116#14519702—41no—
117#14519701—22no—
118#14519701—22no—
119#14519701—41no—
120#14519700—22no—
121C22⋊#92418—41no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127C22×Q8×C61C2311yescharacteristic
128C22×Q8×C61C2311yescharacteristic
129C23×C4×C61C2311yescharacteristic
130C2×Q16×C61—22no—
131C2×Q16×C61—22no—
132C2×Q16×C61—41no—
133C22×C8×C61C2311yescharacteristic
134C22×C8×C61C2311yescharacteristic
135C22⋊Q8×C61—22no—
136C22⋊Q8×C61—22no—
137C22⋊Q8×C61—22no—
138C22⋊Q8×C61—22no—
139C2×C4⋊C4×C61—21no—
140C2×C4⋊C4×C61—21no—
141C2×C4⋊C4×C61C2311yescharacteristic
142C2×C4⋊C4×C61C2311yescharacteristic
143C2×C22⋊C4×C61—21no—
144C2×C22⋊C4×C61—21no—
145#103×C61—22no—
146#103×C61—22no—
147C22⋊C8×C61—41no—
148C24×C61C2×D411yescharacteristic
149C2×Q8×C61—21no—
150C2×Q8×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×C61C2×D412yes—
160C2×Q8×C61#4112yes—
161C22×C4×C61—21no—
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×C61C2×D411yescharacteristic
172C22×C4×C61C2411yescharacteristic
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—22no—
178C22×Dic61—21no—
179C22×Dic61—21no—
180C22×Dic61—41no—
181C22×Dic61—41no—
182C22×Dic61Q1614yescomplemented
183C22×Dic61C2×D411yescharacteristic
184C22×Dic61C2×D411yescharacteristic
185C22×Dic61C2×D411yescharacteristic
186C22×Dic61C2×D411yescharacteristic
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—24no—
193C2×Dic122—42no—
194C2×Dic122—42no—
195C2×Dic122C2×D412yes—
196Q16×C61—44no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C4⋊C4×C61—24no—
204C4⋊C4×C61—24no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61C2×D412yes—
208C4⋊C4×C61#4112yes—
209C22⋊C4×C61—24no—
210C22⋊C4×C61—24no—
211C22⋊Dic61—24no—
212C22⋊Dic61—42no—
213#11758202—44no—
214C4⋊Dic61—24no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—42no—
221C4⋊Dic61—42no—
222C4⋊Dic61C2×D412yes—
223#11758196—24no—
224#11758196—24no—
225#11758196—24no—
226#11758196—24no—
227#11758196—24no—
228C4×Dic61—24no—
229C4×Dic61—24no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—22no—
233C4×Dic61—22no—
234C4×Dic61—42no—
235C4×Dic61—42no—
236C4×Dic61C2×D412yes—
237C4×Dic61C2×D412yes—
238C2×#92418—21no—
239C2×#92418—21no—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418—21no—
243C2×#92418—21no—
244C23×C61—21no—
245C23×C61—21no—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—21no—
249C23×C61—21no—
250C23×C61C2×Q1612yes—
251C23×C61C22×D411yescharacteristic
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—22no—
255Q8×C61—22no—
256Q8×C61—41no—
257Q8×C61—41no—
258Q8×C61—41no—
259Q8×C61—41no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C612−1+411yescharacteristic
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—28no—
290C2×Dic61—21no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—44no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61#12012yes—
307C2×Dic61#12012yes—
308C2×Dic61C2×Q1612yes—
309C2×Dic61C2×Q1612yes—
310C2×Dic61#13712yes—
311Dic122—22no—
312Dic122—22no—
313Dic122—48no—
314Dic122—41no—
315Dic122—41no—
316C8×C61—41no—
317C8×C61—41no—
318#92418—41no—
319#92418—41no—
320#24155—611nomaximal, Sylow
321C22×C61—22no—
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61C2×#12011yescharacteristic
329C22×C61#52511yescharacteristic
330C22×C61#53711yescharacteristic
331C22×C61C22×Q1611yescharacteristic
332C22×C61C2×#13711yescharacteristic
333C22×C61#57511yescharacteristic
334C22×C61#57511yescharacteristic
335C4×C61—42no—
336C4×C61—41no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61—42no—
340C4×C61#54611yescharacteristic
341C4×C61#54711yescharacteristic
342C4×C61#54811yescharacteristic
343C4×C61#55011yescharacteristic
344Dic61—22no—
345Dic61—22no—
346Dic61—42no—
347Dic61—42no—
348Dic61—41no—
349Dic61—81no—
350Dic61—81no—
351Dic61#45114yes—
352C2×#533—611no—
353C2×#477—611no—
354C2×#462—611no—
355C4×C22⋊Q8—611no—
356#2036—611no—
357#2036—611no—
358#2001—611no—
359#2001D6111yescharacteristic
360#1987—611no—
361#1981—611no—
362#1878—611no—
363#1878—611no—
364#1863—611no—
365#1863—611no—
366#1797—611no—
367C2×C61—42no—
368C2×C61#240711yescharacteristic
369C2×C61C2×#45111yescharacteristic
370C2×C61#300511yescharacteristic
371C2×C61#310411yescharacteristic
372C2×C61#311611yescharacteristic
373C2×C61#324911yescharacteristic
374C2×C61#325211yescharacteristic
375C22×Q16—611no—
376C22×Q16C2×D6111yescharacteristic
377#533—1224no—
378#533—1224no—
379C2×C4⋊Q8—611no—
380C2×C4⋊Q8—611no—
381C2×#125—1221no—
382C2×C22⋊Q8—611no—
383C2×C22⋊Q8—1221no—
384C2×C22⋊Q8C2×D6111yescharacteristic
385C2×C22⋊Q8C2×D6111yescharacteristic
386C2×C4×Q8—611no—
387C2×C4×Q8—611no—
388C2×C4×Q8—611no—
389C2×C4×Q8—1221no—
390C2×#117—1221no—
391C22×C42—611no—
392#477—1224no—
393#462—1224no—
394C2×#107—611no—
395C2×#107—611no—
396C2×C4⋊C8—611no—
397C2×C4⋊C8—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103—611no—
403C2×#103—611no—
404C2×#103C2×D6111yescharacteristic
405C2×#103C2×D6111yescharacteristic
406C2×C22⋊C8—611no—
407C2×C22⋊C8C2×D6111yescharacteristic
408#391—611no—
409#389—611no—
410#387—1221no—
411#385—1221no—
412#380—611no—
413C4×C4⋊C4—611no—
414C4×C4⋊C4—1221no—
415C4×C22⋊C4—1221no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340C2×D6111yescharacteristic
420#336—611no—
421#336—611no—
422C61#2415511yescharacteristic, complemented, Sylow
423C22×Q8—611no—
424C22×Q8—1221no—
425C22×Q8C22×D6111yescharacteristic
426C22×Q8C22×D6111yescharacteristic
427C23×C4—611no—
428C23×C4—611no—
429C23×C4C22×D6111yescharacteristic
430C2×Q16—22no—
431C2×Q16—22no—
432C2×Q16—41no—
433C2×Q16—1222no—
434C2×Q16—1222no—
435C2×Q16—2441no—
436C22×C8—611no—
437C22×C8—611no—
438C22×C8C22×D6111yescharacteristic
439C22×C8C22×D6111yescharacteristic
440C4⋊Q8—614no—
441C4⋊Q8—614no—
442C4⋊Q8—1222no—
443C4⋊Q8—1222no—
444#125—1228no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C22⋊Q8—22no—
448C22⋊Q8—22no—
449C22⋊Q8—1228no—
450C22⋊Q8—1222no—
451C22⋊Q8—1222no—
452C4×Q8—1222no—
453C4×Q8—1222no—
454C4×Q8—1222no—
455C4×Q8—1228no—
456C4×Q8—1222no—
457C4×Q8—1222no—
458C4×Q8—1222no—
459#117—1228no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—611no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—1222no—
484C2×C42—1222no—
485C2×C42—1221no—
486C2×C42—1221no—
487C2×C42—1221no—
488C2×C42—1221no—
489#107—1222no—
490#107—1222no—
491C4⋊C8—1222no—
492C4⋊C8—1222no—
493#103—22no—
494#103—22no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#103—1222no—
499#103—2441no—
500#103—2441no—
501C22⋊C8—41no—
502C22⋊C8—2441no—
503#95—1221no—
504#95—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508C24D4×D6111yescharacteristic
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—612no—
520C2×Q8—1224no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—2442no—
527C2×Q8—2442no—
528C2×Q8D4×D6112yes—
529C2×Q8#1175822412yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—614no—
544C22×C4—611no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—2441no—
553C22×C4—2441no—
554C22×C4D4×D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556Q16—44no—
557Q16—2444no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—612no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1224no—
578C4⋊C4—1224no—
579C4⋊C4—1224no—
580C4⋊C4—1224no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C4⋊C4D4×D6112yes—
589C4⋊C4#1175822412yes—
590C22⋊C4—24no—
591C22⋊C4—24no—
592C22⋊C4—1224no—
593C22⋊C4—2442no—
594C42—612no—
595C42—612no—
596C42—1222no—
597C42—1222no—
598C42—1224no—
599C42—1224no—
600C42—1221no—
601C42—1221no—
602C42—2442no—
603C42—2442no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23Q16×D6112yes—
611C23C2×D4×D6111yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—1222no—
621Q8—1222no—
622Q8—2448no—
623Q8—2441no—
624Q8—2441no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—612no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—612no—
648C2×C4—612no—
649C2×C4—1228no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—2444no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4C2×D4×D6111yescharacteristic
672C2×C4C2×#1175822411yescharacteristic
673C2×C4C2×#1175822411yescharacteristic
674C2×C4#1451982211yescharacteristic
675C2×C4#1451982411yescharacteristic
676C8—41no—
677C8—41no—
678C8—2441no—
679C8—2441no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22#120×D6111yescharacteristic
688C22#1684026811yescharacteristic
689C22#1684033911yescharacteristic
690C22C2×Q16×D6111yescharacteristic
691C22#137×D6111yescharacteristic
692C22#1684055911yescharacteristic
693C22#1684056111yescharacteristic
694C4—42no—
695C4—41no—
696C4—42no—
697C4—42no—
698C4—42no—
699C4—614no—
700C4—1222no—
701C4—1222no—
702C4—4881no—
703C4—4881no—
704C4—2442no—
705C4—2441no—
706C4—2442no—
707C4#1684039911yescharacteristic
708C4#1684041211yescharacteristic
709C4#1684041811yescharacteristic
710C4#1684043211yescharacteristic
711C2—42no—
712C2#2144915711yescharacteristic
713C2#451×D6111yescharacteristic
714C2#2145506211yescharacteristic
715C2#2145585311yescharacteristic
716C2#2145597411yescharacteristic
717C2#2145716011yescharacteristic
718C2#2145718711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2001C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
hypercenter#2001D61
hypocenterC61#24155
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2001

Complements

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

NH ≅ G/Ntype
2. C2×#16840055C2semidirect
3. C2×#16839970C2semidirect
8. #21446765C2semidirect
9. #21446740C2semidirect
10. #21446162C2semidirect
11. #21446157C2semidirect
12. #21446075C2semidirect
13. #21446074C2semidirect
182. C22×Dic61Q16semidirect
422. C61#24155semidirect

Maximal subgroups

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

subgroupindex
C2×#168403142
C2×#168400552
C2×#168399702
C22⋊Q8×Dic612
#214470232
#214470192
#214468272
#214467652
#214467402
#214461622
#214461572
#214460752
#214460742
#214457972
C61×#20012
#2415561