Finite Group Databasebeta

← #29586608

Subgroups — #29586608

Order 15616.

1274 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840338C211yesmaximal, characteristic
2C2×#16839772C211yesmaximal, characteristic, complemented
3C2×#16839770C211yesmaximal, characteristic, complemented
4C2×#16839735C211yesmaximal, characteristic
5#21454263C211yesmaximal, characteristic
6C2×#16839518C211yesmaximal, characteristic, complemented
7C2×C61×H(3,ℤ/4)C211yesmaximal, characteristic, complemented
8C22×#11758222C2211yescharacteristic
9C23×Dic122C2211yescharacteristic
10C22×#11758194C2211yescharacteristic
11#16840338—22no—
12#16840338—22no—
13#16840338—22no—
14#16840338—22no—
15C2×#14519777C412yescomplemented
16C2×#14519765C412yescomplemented
17C2×#14519761—22no—
18C2×#14519757—22no—
19C2×#14519736C2211yescharacteristic
20#16839772—22no—
21#16839772—22no—
22#16839770—22no—
23#16839770—22no—
24C2×#14519702—22no—
25C2×#14519700—22no—
26#16839735—22no—
27#16839735—22no—
28C2×#14519691—22no—
29#16839730—22no—
30#16839728—22no—
31#16839725—22no—
32#16839518—22no—
33C22×M16×C61C2211yescharacteristic
34C2×#117×C61C2211yescharacteristic
35C2×#117×C61C2211yescharacteristic
36C61×H(3,ℤ/4)—22no—
37C2×#11758222—21no—
38C2×#11758222—21no—
39C2×#11758222—21no—
40C2×#11758222—21no—
41C2×#11758222—21no—
42C2×#11758222—21no—
43C2×#11758222—21no—
44C2×#11758222—21no—
45C2×#11758222—21no—
46C2×#11758222—21no—
47C2×#11758222—21no—
48C2×#11758222—21no—
49C22×Dic122—21no—
50C22×Dic122—21no—
51C22×Dic122—21no—
52C22×Dic122—21no—
53C22×Dic122—21no—
54C22×Dic122—21no—
55C22×Dic122—21no—
56C22×Dic122—21no—
57C22×Dic122—21no—
58C22×Dic122—21no—
59C22×Dic122—21no—
60C22×Dic122C2×C411yescharacteristic
61C22×Dic122C2×C412yes—
62C22×Dic122D412yes—
63C22×Dic122D412yes—
64C22×D244C2×C411yescharacteristic
65C22×C22⋊D61D412yes—
66C23×Dic61—21no—
67C22×C4×D61D412yes—
68C2×#11758194—21no—
69C2×#11758194—21no—
70C2×#11758194—21no—
71C2×#11758194—21no—
72C2×#11758194—21no—
73C2×#11758194—21no—
74C22×#92418D412yes—
75#14519777—24no—
76#14519777—24no—
77#14519765—24no—
78#14519765—24no—
79#14519761—28no—
80#14519761—28no—
81#14519757—28no—
82#14519757—28no—
83#14519736—21no—
84#14519736—21no—
85#14519736—21no—
86#14519736D412yes—
87C2×C4⋊Dic61—24no—
88C2×C4⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×#11758198—24no—
91C2×C4×Dic61—21no—
92#14519702—28no—
93#14519700—28no—
94#14519691—28no—
95#14519689—28no—
96C23×C4×C61C2311yescharacteristic
97C2×M16×C61—21no—
98C2×M16×C61—21no—
99C2×M16×C61—21no—
100C2×M16×C61—21no—
101C2×M16×C61—21no—
102C2×M16×C61—21no—
103C22×C8×C61D412yes—
104#117×C61—21no—
105#117×C61—21no—
106#117×C61—21no—
107#117×C61—21no—
108#117×C61—21no—
109#117×C61D412yes—
110#117×C61D412yes—
111#117×C61D412yes—
112C2×C4⋊C4×C61—21no—
113C2×C4⋊C4×C61—21no—
114C2×C22⋊C4×C61—21no—
115C2×C22⋊C4×C61—21no—
116C2×C42×C61—21no—
117C2×C42×C61C2×C412yes—
118C24×C61C2×D411yescharacteristic
119C23×D61C22⋊C412yes—
120C22×C4×C61—22no—
121C22×C4×C61—41no—
122C22×C4×C61C22×C411yescharacteristic
123C22×C4×C61C2×D411yescharacteristic
124C22×C4×C61C2×D411yescharacteristic
125C22×C4×C61C2×D411yescharacteristic
126C22×C4×C61C2×D411yescharacteristic
127C22×C4×C61C2×D411yescharacteristic
128C22×C4×C61C2×D411yescharacteristic
129C22×C4×C61C2×D411yescharacteristic
130C22×C4×C61C2×D411yescharacteristic
131C22×C4×C61C2×D411yescharacteristic
132C22×C4×C61#4111yescharacteristic
133C22×C4×C61#4111yescharacteristic
134C22×C4×C61#4111yescharacteristic
135C22×C4×C61#4111yescharacteristic
136C2×C22⋊D61—22no—
137C2×C22⋊D61—22no—
138C2×C22⋊D61—22no—
139C2×C22⋊D61—22no—
140C2×C22⋊D61—22no—
141C2×C22⋊D61—22no—
142C22×Dic61—22no—
143C22×Dic61—22no—
144C22×Dic61—22no—
145C22×Dic61—41no—
146C22×Dic61—41no—
147C22×Dic61—41no—
148C22×Dic61—41no—
149C22×Dic61—41no—
150C22×Dic61C22⋊C412yes—
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—
161#11758222—41no—
162#11758222—41no—
163#11758222—41no—
164#11758222—41no—
165#11758222—41no—
166#11758222—41no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×Dic122—22no—
180C2×Dic122—22no—
181C2×Dic122—22no—
182C2×Dic122—22no—
183C2×Dic122—22no—
184C2×Dic122—22no—
185C2×Dic122—22no—
186C2×Dic122—22no—
187C2×Dic122—22no—
188C2×Dic122—22no—
189C2×Dic122—22no—
190C2×Dic122—22no—
191C2×Dic122—22no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122—22no—
199C2×Dic122—22no—
200C2×Dic122—41no—
201C2×Dic122—41no—
202C2×Dic122—41no—
203C2×Dic122—41no—
204C2×Dic122—41no—
205C2×Dic122—41no—
206C2×Dic122—41no—
207C2×Dic122—41no—
208C2×Dic122—41no—
209C2×Dic122—41no—
210C2×Dic122—41no—
211C2×Dic122—41no—
212C2×Dic122C22⋊C414yes—
213M16×C61—41no—
214M16×C61—41no—
215M16×C61—41no—
216M16×C61—41no—
217C2×C8×C61—22no—
218C2×C8×C61—22no—
219C2×C8×C61—22no—
220C4⋊C4×C61—22no—
221C4⋊C4×C61—22no—
222C4⋊C4×C61—22no—
223C4⋊C4×C61—41no—
224C22⋊C4×C61—22no—
225C22⋊C4×C61—22no—
226C22⋊C4×C61—22no—
227C22⋊C4×C61—41no—
228C42×C61—22no—
229C42×C61—22no—
230C42×C61—41no—
231C42×C61C22⋊C414yes—
232C22⋊Dic61—22no—
233C22⋊Dic61—41no—
234#11758198—216no—
235C4⋊Dic61—216no—
236C4⋊Dic61—22no—
237C4⋊Dic61—41no—
238C4×Dic61—22no—
239C4×Dic61—41no—
240#11758194—41no—
241#11758194—41no—
242#11758194—41no—
243#11758194—41no—
244C2×#92418—22no—
245C2×#92418—22no—
246C2×#92418—22no—
247C23×C61—42no—
248C23×C61C2×C22⋊C411yescharacteristic
249C23×C61#12011yescharacteristic
250C23×C61#12011yescharacteristic
251C23×C61#12011yescharacteristic
252C23×C61#12111yescharacteristic
253C23×C61#12111yescharacteristic
254C23×C61#12311yescharacteristic
255C22×D61—22no—
256C22×D61—22no—
257C22×D61—22no—
258C22×D61—44no—
259C2×C4×C61—24no—
260C2×C4×C61—44no—
261C2×C4×C61—42no—
262C2×C4×C61—82no—
263C2×C4×C61C2×C22⋊C411yescharacteristic
264C2×C4×C61C2×C22⋊C411yescharacteristic
265C2×C4×C61C4×D411yescharacteristic
266C2×C4×C61C4×D411yescharacteristic
267C2×C4×C61C4×D411yescharacteristic
268C2×C4×C61C4×D411yescharacteristic
269C2×C4×C61#12011yescharacteristic
270C2×C4×C61#12011yescharacteristic
271C2×C4×C61#12011yescharacteristic
272C2×C4×C61#12011yescharacteristic
273C2×C4×C61#12011yescharacteristic
274C2×C4×C61#12111yescharacteristic
275C2×C4×C61#12111yescharacteristic
276C2×C4×C61#12111yescharacteristic
277C2×C4×C61#12111yescharacteristic
278C2×C4×C61#12111yescharacteristic
279C2×C4×C61#12111yescharacteristic
280C2×C4×C61#12111yescharacteristic
281C2×C4×C61#12111yescharacteristic
282C2×C4×C61#12111yescharacteristic
283C2×C4×C61#12111yescharacteristic
284C2×C4×C61#12311yescharacteristic
285C2×C4×C61#12311yescharacteristic
286C2×C4×C61#12311yescharacteristic
287C2×C4×C61#12411yescharacteristic
288C2×C4×C61#12411yescharacteristic
289C2×C4×C61#12711yescharacteristic
290C2×C4×C61#12711yescharacteristic
291C22⋊D61—42no—
292C22⋊D61—42no—
293C22⋊D61—42no—
294C22⋊D61—42no—
295C2×Dic61—22no—
296C2×Dic61—24no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—82no—
307D244—41no—
308D244—41no—
309D244—41no—
310D244—41no—
311C4×D61—42no—
312C4×D61—42no—
313C4×D61—42no—
314C4×D61—42no—
315Dic122—24no—
316Dic122—24no—
317Dic122—41no—
318Dic122—41no—
319Dic122—42no—
320Dic122—42no—
321Dic122—41no—
322Dic122—41no—
323Dic122—42no—
324Dic122—42no—
325Dic122—42no—
326Dic122—42no—
327C8×C61—42no—
328#92418—42no—
329#10988—611nomaximal, Sylow
330C22×C61—22no—
331C22×C61—22no—
332C22×C61—22no—
333C22×C61—41no—
334C22×C61—41no—
335C22×C61—41no—
336C22×C61—41no—
337C22×C61#37911yescharacteristic
338C22×C61#38611yescharacteristic
339C22×C61#38611yescharacteristic
340C22×C61#39211yescharacteristic
341C22×C61#39211yescharacteristic
342C22×C61#39411yescharacteristic
343C22×C61#39411yescharacteristic
344C2×D61—44no—
345C2×D61—44no—
346C2×D61—42no—
347C2×D61—82no—
348C4×C61—44no—
349C4×C61—82no—
350C4×C61#38611yescharacteristic
351C4×C61#38611yescharacteristic
352C4×C61#39011yescharacteristic
353C4×C61#39011yescharacteristic
354C4×C61#39211yescharacteristic
355C4×C61#39211yescharacteristic
356C4×C61#39411yescharacteristic
357C4×C61#39411yescharacteristic
358Dic61—44no—
359Dic61—42no—
360Dic61—82no—
361C2×#536—611no—
362C2×#419—611no—
363C2×#419—611no—
364C2×#410—611no—
365#2879—611no—
366C2×H(3,ℤ/4)—611no—
367C2×H(3,ℤ/4)D6111yescharacteristic, complemented
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—21no—
374C2×C61#143811yescharacteristic
375C2×C61#190912yes—
376D61—82no—
377C22×#41—611no—
378C23×Q8—611no—
379C22×M16—611no—
380C22×M16C2×D6111yescharacteristic
381#536—1222no—
382#536—1222no—
383#536—1222no—
384#536—1222no—
385C2×C4⋊Q8—612no—
386C2×#124—612no—
387C2×#123—1222no—
388C2×C22⋊Q8—1222no—
389C2×#117—611no—
390C2×#117C2×D6111yescharacteristic
391C2×#117C2×D6111yescharacteristic
392#419—1222no—
393#419—1222no—
394#419—1222no—
395#419—1222no—
396C2×#103—1222no—
397C2×#103—1222no—
398#410—1222no—
399#410—1222no—
400C2×#99—1222no—
401#408—1222no—
402#408—1222no—
403#407—1222no—
404H(3,ℤ/4)—22no—
405H(3,ℤ/4)—1222no—
406C61#1098811yescharacteristic, complemented, Sylow
407C2×#41—1221no—
408C2×#41—1221no—
409C2×#41—1221no—
410C2×#41—1221no—
411C2×#41—1221no—
412C2×#41—1221no—
413C2×#41—1221no—
414C2×#41—1221no—
415C2×#41—1221no—
416C2×#41—1221no—
417C2×#41—1221no—
418C2×#41—1221no—
419C22×Q8—611no—
420C22×Q8—612no—
421C22×Q8—612no—
422C22×Q8—612no—
423C22×Q8—1221no—
424C22×Q8—1221no—
425C22×Q8—1221no—
426C22×Q8—1221no—
427C22×Q8—1221no—
428C22×Q8—1221no—
429C22×Q8—1221no—
430C22×Q8—1221no—
431C22×Q8—1221no—
432C22×Q8—1221no—
433C22×Q8—1221no—
434C22×D4—612no—
435C22×D4—611no—
436C23×C4—612no—
437C23×C4—1221no—
438C23×C4C22×D6111yescharacteristic
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—21no—
442C2×M16—21no—
443C2×M16—21no—
444C2×M16—21no—
445C2×M16—1221no—
446C2×M16—1221no—
447C2×M16—1221no—
448C2×M16—1221no—
449C2×M16—1221no—
450C2×M16—1221no—
451C22×C8—612no—
452C22×C8D24412yes—
453C4⋊Q8—1224no—
454C4⋊Q8—1224no—
455#124—1224no—
456#124—1224no—
457#123—1228no—
458#123—1228no—
459C22⋊Q8—1228no—
460C22⋊Q8—1228no—
461#117—21no—
462#117—21no—
463#117—21no—
464#117—21no—
465#117—21no—
466#117—612no—
467#117—1221no—
468#117—1221no—
469#117—1221no—
470#117D24412yes—
471#117D24412yes—
472#117C22⋊D6112yes—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—1224no—
476C2×C4⋊C4—1221no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—1224no—
480C2×C22⋊C4—1221no—
481C2×C42—21no—
482C2×C42—1221no—
483C2×C42C4×D6112yes—
484#103—1228no—
485#103—1228no—
486#99—1228no—
487C22⋊C8—1228no—
488C24—612no—
489C24D4×D6111yescharacteristic
490#41—2441no—
491#41—2441no—
492#41—2441no—
493#41—2441no—
494#41—2441no—
495#41—2441no—
496#41—2441no—
497#41—2441no—
498#41—2441no—
499#41—2441no—
500#41—2441no—
501#41—2441no—
502#41—2441no—
503#41—2441no—
504#41—2441no—
505#41—2441no—
506C2×Q8—614no—
507C2×Q8—1221no—
508C2×Q8—1222no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1222no—
515C2×Q8—1222no—
516C2×Q8—1222no—
517C2×Q8—1222no—
518C2×Q8—1222no—
519C2×Q8—1222no—
520C2×Q8—1222no—
521C2×Q8—1222no—
522C2×Q8—1222no—
523C2×Q8—1222no—
524C2×Q8—1222no—
525C2×Q8—1222no—
526C2×Q8—1222no—
527C2×Q8—1222no—
528C2×Q8—2441no—
529C2×Q8—2441no—
530C2×Q8—2441no—
531C2×Q8—2441no—
532C2×Q8—2441no—
533C2×Q8—2441no—
534C2×Q8—2441no—
535C2×Q8—2441no—
536C2×Q8—2441no—
537C2×Q8—2441no—
538C2×Q8—2441no—
539C2×Q8—2441no—
540C2×D4—1222no—
541C2×D4—1222no—
542C2×D4—1222no—
543C2×D4—1222no—
544C2×D4—1222no—
545C2×D4—1222no—
546C2×D4—1221no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—1221no—
550C2×D4—1221no—
551C2×D4—1221no—
552C22×C4—22no—
553C22×C4—41no—
554C22×C4—612no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—2441no—
565C22×C4—2441no—
566C22×C4—2441no—
567C22×C4—2441no—
568C22×C4—2441no—
569C22×C4C2×C4×D6111yescharacteristic
570C22×C4C2×D24411yescharacteristic
571C22×C4C2×D24411yescharacteristic
572C22×C4C2×D24411yescharacteristic
573C22×C4#1175822211yescharacteristic
574C22×C4#1175822211yescharacteristic
575C22×C4D4×D6111yescharacteristic
576C22×C4D4×D6111yescharacteristic
577C22×C4D4×D6111yescharacteristic
578C22×C4D4×D6111yescharacteristic
579C22×C4D4×D6111yescharacteristic
580C22×C4#1175822611yescharacteristic
581C22×C4#1175822611yescharacteristic
582C22×C4C2×C22⋊D6111yescharacteristic
583M16—41no—
584M16—41no—
585M16—41no—
586M16—41no—
587M16—2441no—
588M16—2441no—
589M16—2441no—
590M16—2441no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—1222no—
595C2×C8—1222no—
596C2×C8—1222no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—41no—
601C4⋊C4—12216no—
602C4⋊C4—1222no—
603C4⋊C4—2441no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—41no—
608C22⋊C4—12216no—
609C22⋊C4—1222no—
610C22⋊C4—2441no—
611C42—22no—
612C42—22no—
613C42—41no—
614C42—1222no—
615C42—2441no—
616C42#1175819814yes—
617C23—42no—
618C23—1222no—
619C23—1222no—
620C23—1222no—
621C23—2444no—
622C23C22⋊C4×D6111yescharacteristic
623C23#1451974511yescharacteristic
624C23#1451974711yescharacteristic
625C23#1451974711yescharacteristic
626C23#1451975011yescharacteristic
627C23#1451975211yescharacteristic
628C23#1451976211yescharacteristic
629Q8—1224no—
630Q8—1224no—
631Q8—2442no—
632Q8—2441no—
633Q8—2441no—
634Q8—2442no—
635Q8—2441no—
636Q8—2442no—
637Q8—2441no—
638Q8—2442no—
639Q8—2442no—
640Q8—2442no—
641D4—2442no—
642D4—2442no—
643D4—2442no—
644D4—2442no—
645D4—2441no—
646D4—2441no—
647D4—2441no—
648D4—2441no—
649C2×C4—24no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—82no—
653C2×C4—1224no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—4882no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4C22⋊C4×D6111yescharacteristic
670C2×C4C2×#1175819811yescharacteristic
671C2×C4#1451973911yescharacteristic
672C2×C4#1451973911yescharacteristic
673C2×C4C4×D24411yescharacteristic
674C2×C4C4×D24411yescharacteristic
675C2×C4#1451974511yescharacteristic
676C2×C4#1451974711yescharacteristic
677C2×C4#1451974711yescharacteristic
678C2×C4#1451974711yescharacteristic
679C2×C4#1451974711yescharacteristic
680C2×C4#1451975011yescharacteristic
681C2×C4#1451975011yescharacteristic
682C2×C4#1451975011yescharacteristic
683C2×C4#1451975111yescharacteristic
684C2×C4#1451975111yescharacteristic
685C2×C4#1451975211yescharacteristic
686C2×C4#1451975211yescharacteristic
687C2×C4#1451975211yescharacteristic
688C2×C4#1451975211yescharacteristic
689C2×C4#1451975211yescharacteristic
690C2×C4#1451976211yescharacteristic
691C2×C4#1451976211yescharacteristic
692C2×C4#1451976211yescharacteristic
693C2×C4#1451976511yescharacteristic
694C2×C4#1451976611yescharacteristic
695C2×C4#1451977311yescharacteristic
696C2×C4#1451977411yescharacteristic
697C8—42no—
698C8—2442no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—4882no—
707C22—2444no—
708C22—2444no—
709C22—2442no—
710C22#1683961711yescharacteristic
711C22#1683964011yescharacteristic
712C22#1683964011yescharacteristic
713C22#1683967111yescharacteristic
714C22#1683967211yescharacteristic
715C22#1683967911yescharacteristic
716C22#1683968011yescharacteristic
717C4—44no—
718C4—82no—
719C4—4882no—
720C4—2442no—
721C4—2444no—
722C4#1683964011yescharacteristic
723C4#1683964011yescharacteristic
724C4#1683966311yescharacteristic
725C4#1683966411yescharacteristic
726C4#1683967111yescharacteristic
727C4#1683967211yescharacteristic
728C4#1683967911yescharacteristic
729C4#1683968011yescharacteristic
730C2—21no—
731C2—21no—
732C2—21no—
733C2—21no—
734C2—21no—
735C2—21no—
736C2—4882no—
737C2#2144405911yescharacteristic
738C2#2144634012yes—
subgroupG/H
centerC22#16839640
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
FittingC2×C61×H(3,ℤ/4)C2
socleC22×C61#386
prime radicalC22×#11758222C22
cosocleC23×C4×C61C23
hypercenterC2×H(3,ℤ/4)D61
hypocenterC61#10988
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×H(3,ℤ/4)

Complements

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

NH ≅ G/Ntype
2. C2×#16839772C2semidirect
3. C2×#16839770C2semidirect
6. C2×#16839518C2semidirect
7. C2×C61×H(3,ℤ/4)C2semidirect
15. C2×#14519777C4semidirect
16. C2×#14519765C4semidirect
367. C2×H(3,ℤ/4)D61semidirect
406. C61#10988semidirect

Maximal subgroups

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

subgroupindex
C2×#168403382
C2×#168397722
C2×#168397702
C2×#168397352
#214542632
C2×#168395182
C2×C61×H(3,ℤ/4)2
#1098861