Finite Group Databasebeta

← #30620339

Subgroups — #30620339

Order 15616.

1106 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462557C212yesmaximal
2#21462011C212yesmaximal, complemented
3#21461847C212yesmaximal, complemented
4#21461846C212yesmaximal, complemented
5#21461719C211yesmaximal, characteristic, complemented
6#21461718C211yesmaximal, characteristic, complemented
7#21461686C211yesmaximal, characteristic, complemented
8#21461572C211yesmaximal, characteristic, complemented
9#21461522C211yesmaximal, characteristic, complemented
10C2×#16840642C211yesmaximal, characteristic, complemented
11C2×#16840466C211yesmaximal, characteristic
12C2×D61⋊M16C2212yes—
13C22×#11758217C2212yes—
14#16840795—22no—
15#16840794—22no—
16#16840791—22no—
17#16840789—22no—
18#16840765C2212yes—
19C2×#14519838C2212yes—
20C2×#14519838C2212yes—
21#16840734C2212yes—
22#16840732C2212yes—
23C4×#11758217C2212yes—
24#16840642C2211yescharacteristic
25#16840642C2212yes—
26#16840642C2211yescharacteristic
27#16840642C2212yes—
28#16840642C2211yescharacteristic
29#16840642C2211yescharacteristic
30#16840642C2212yes—
31#16840642C2212yes—
32#16840466—22no—
33#16840466—22no—
34#16840466—22no—
35#16840466—22no—
36C2×#14519775C2211yescharacteristic
37C2×#14519767C411yescharacteristic
38C2×#14519767C411yescharacteristic
39C2×#14519755C411yescharacteristic
40C2×#14519755C2211yescharacteristic
41C2×#14519754C411yescharacteristic
42C2×#14519754C2211yescharacteristic
43C2×#14519753C411yescharacteristic
44C2×#14519742C2211yescharacteristic
45C2×C4×C22⋊D61C411yescharacteristic
46C2×#14519737C411yescharacteristic
47C2×#14519737C2211yescharacteristic
48C22×#11758196C2211yescharacteristic
49C2×C4⋊C4×D61C2211yescharacteristic
50C2×C22⋊Q8×C61C411yescharacteristic
51C2×#11758213—22no—
52D61⋊M16—24no—
53D61⋊M16—42no—
54C2×#11758217—22no—
55C2×#11758217—24no—
56C2×#11758217—42no—
57C2×#11758217C2312yes—
58C2×#11758217C2312yes—
59C2×#11758217C2312yes—
60C2×#11758217C2312yes—
61C2×D61⋊C8—22no—
62C22×#92420—22no—
63#14519844—22no—
64C4⋊#92420—22no—
65#14519838—24no—
66#14519838—42no—
67#14519834—22no—
68#14519834—22no—
69C22⋊#92420—22no—
70C22⋊#92420—22no—
71#14519832—22no—
72C4×#92420—22no—
73C22×Dic122C2×C411yescharacteristic
74C22×Dic122C2311yescharacteristic
75C22×C22⋊D61C2×C411yescharacteristic
76C23×Dic61C2×C411yescharacteristic
77C23×Dic61C2311yescharacteristic
78C22×C4×D61C2×C411yescharacteristic
79C22×C4×D61C2×C411yescharacteristic
80C22×C4×D61C2311yescharacteristic
81#14519775—22no—
82#14519775—22no—
83#14519767—22no—
84#14519767—22no—
85#14519767—22no—
86#14519767—22no—
87#14519755—22no—
88#14519755—22no—
89#14519755—22no—
90#14519755—22no—
91#14519754—22no—
92#14519754—22no—
93#14519754—22no—
94#14519754—22no—
95#14519753—22no—
96#14519753—22no—
97#14519742—22no—
98#14519742—22no—
99C4×C22⋊D61—21no—
100C4×C22⋊D61—21no—
101C4×C22⋊D61—21no—
102C4×C22⋊D61—21no—
103#14519737—21no—
104#14519737—21no—
105#14519737—21no—
106#14519737—21no—
107#14519737D412yes—
108#14519737D412yes—
109#14519737D412yes—
110#14519737D412yes—
111C2×C4⋊Dic61C2×C411yescharacteristic
112C2×C4⋊Dic61C2×C411yescharacteristic
113C2×#11758196—22no—
114C2×#11758196—22no—
115C2×#11758196C2×C411yescharacteristic
116C2×#11758196C2×C411yescharacteristic
117C2×#11758196C2×C411yescharacteristic
118C2×#11758196C2×C411yescharacteristic
119C2×#11758196C2×C411yescharacteristic
120C2×#11758196C2×C411yescharacteristic
121C2×#11758196C2×C411yescharacteristic
122C2×#11758196C2×C411yescharacteristic
123C2×#11758196C2311yescharacteristic
124C2×#11758196C2311yescharacteristic
125C2×#11758196C2311yescharacteristic
126C4⋊C4×D61—22no—
127C4⋊C4×D61—22no—
128C2×C22⋊Dic61C2×C411yescharacteristic
129C2×#11758198C2×C411yescharacteristic
130C2×#11758198C2×C411yescharacteristic
131C2×#11758198C2×C411yescharacteristic
132C2×C4×Dic61C2×C411yescharacteristic
133C2×C4×Dic61C2×C411yescharacteristic
134C2×C4×Dic61C2311yescharacteristic
135C22×Q8×C61C2×C411yescharacteristic
136C23×C4×C61C2×C411yescharacteristic
137C22⋊Q8×C61—22no—
138C22⋊Q8×C61—22no—
139C2×C4⋊C4×C61C2×C411yescharacteristic
140C2×C4⋊C4×C61C2×C411yescharacteristic
141C2×C4⋊C4×C61C2×C411yescharacteristic
142C2×C22⋊C4×C61C2×C411yescharacteristic
143C2×C22⋊C4×C61C2×C411yescharacteristic
144C24×C61C22×C411yescharacteristic
145C23×D61C22×C411yescharacteristic
146C2×Q8×C61—22no—
147C2×Q8×C61—81no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—81no—
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C2×C22⋊D61—24no—
158C2×C22⋊D61C22⋊C411yescharacteristic
159C2×C22⋊D61C22⋊C411yescharacteristic
160C2×C22⋊D61C22⋊C411yescharacteristic
161C2×C22⋊D61C22⋊C411yescharacteristic
162C22×Dic61—22no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—81no—
168C22×Dic61C22×C411yescharacteristic
169C22×Dic61C22×C411yescharacteristic
170C22×Dic61C22×C411yescharacteristic
171C22×Dic61C22×C411yescharacteristic
172C22×Dic61C22×C411yescharacteristic
173C22×Dic61C22×C411yescharacteristic
174C22×Dic61C2×D412yes—
175C22×Dic61C2×D412yes—
176C22×Dic61C2411yescharacteristic
177C2×C4×D61—22no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×C4×D61—21no—
184C2×C4×D61—81no—
185C2×C4×D61—81no—
186C2×C4×D61C2×D412yes—
187C2×C4×D61C2×D412yes—
188C2×Dic122—22no—
189C2×Dic122—22no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—22no—
193C2×Dic122—81no—
194#11758217—22no—
195#11758217—22no—
196#11758217—22no—
197#11758217—22no—
198#11758217—22no—
199#11758217—22no—
200#11758217—22no—
201#11758217—44no—
202#11758217#4114yes—
203C2×#92420—22no—
204C2×#92420—22no—
205C2×#92420—22no—
206C2×#92420—22no—
207C2×#92420—44no—
208#11758213—44no—
209D61⋊C8—44no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—22no—
213C22⋊C4×C61—21no—
214C22⋊C4×C61—21no—
215C22⋊C4×C61C22⋊C412yes—
216C22⋊C4×C61C22⋊C412yes—
217C22⋊Dic61—21no—
218C22⋊Dic61—21no—
219#11758198—21no—
220#11758198—21no—
221#11758198—21no—
222#11758198—21no—
223#11758198C22⋊C412yes—
224#11758198C22⋊C412yes—
225C4⋊Dic61—22no—
226C4⋊Dic61—22no—
227#11758196—22no—
228#11758196—22no—
229#11758196—22no—
230#11758196—22no—
231#11758196—21no—
232#11758196—21no—
233#11758196—21no—
234#11758196—21no—
235#11758196—22no—
236#11758196—22no—
237#11758196—22no—
238#11758196—22no—
239#11758196C22⋊C412yes—
240#11758196C22⋊C412yes—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—21no—
244C4×Dic61—21no—
245C4×Dic61C2×D412yes—
246C4×Dic61C2×D412yes—
247C23×C61—21no—
248C23×C61—21no—
249C23×C61—22no—
250C23×C61—41no—
251C23×C61C2×C22⋊C411yescharacteristic
252C23×C61C2×C22⋊C411yescharacteristic
253C23×C61C23×C411yescharacteristic
254C22×D61—21no—
255C22×D61—21no—
256C22×D61—22no—
257C22×D61—41no—
258C22×D61C2×C22⋊C411yescharacteristic
259C22×D61C2×C22⋊C411yescharacteristic
260Q8×C61—82no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—81no—
274C2×C4×C61—81no—
275C2×C4×C61C2×C22⋊C412yes—
276C2×C4×C61C2×C22⋊C412yes—
277C22⋊D61—22no—
278C22⋊D61—22no—
279C22⋊D61—22no—
280C22⋊D61#10114yescomplemented
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—81no—
298C2×Dic61—81no—
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C411yescharacteristic
302C2×Dic61C22×D412yes—
303C2×Dic61C2×#4112yes—
304C2×Dic61H(5,𝔽2)11yescharacteristic
305C2×Dic612−1+411yescharacteristic
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—81no—
311C4×D61—81no—
312C4×D61—81no—
313C4×D61—81no—
314Dic122—42no—
315Dic122—42no—
316Dic122—82no—
317#92420—24no—
318#92420—42no—
319#92420—42no—
320#92420—42no—
321#22481—611nomaximal, Sylow
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61C2×#10112yes—
332C22×C61C22×C22⋊C411yescharacteristic
333C22×C61C4×#4111yescharacteristic
334C22×C61#52011yescharacteristic
335C2×D61—21no—
336C2×D61—21no—
337C2×D61—21no—
338C2×D61—21no—
339C2×D61—21no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61C2×#10112yes—
343C4×C61—22no—
344C4×C61—22no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61—41no—
348C4×C61—41no—
349Dic61—22no—
350Dic61—21no—
351Dic61—41no—
352Dic61—41no—
353Dic61—41no—
354Dic61—41no—
355Dic61C2×#10112yes—
356Dic61#54612yes—
357Dic61#54712yes—
358C2×#554—611no—
359D4×M16—612no—
360#1997—612no—
361#1901—612no—
362#1901—612no—
363#1821—611no—
364#1821—611no—
365#1801—611no—
366C4×#101—611no—
367C2×#343—611no—
368C2×#343—611no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—22no—
372C2×C61—41no—
373C2×C61#233911yescharacteristic
374C2×C61C22×#10111yescharacteristic
375C2×C61#288811yescharacteristic
376D61—22no—
377D61—41no—
378C22×M16—612no—
379C22×M16—612no—
380#554—1222no—
381#554—1222no—
382#554—1222no—
383#554—1222no—
384C2×C4⋊Q8—611no—
385C2×#125—611no—
386C2×#125—611no—
387C2×C22⋊Q8—611no—
388C2×C22⋊Q8—611no—
389C2×C22⋊Q8—611no—
390C2×C22⋊Q8—611no—
391C2×C22⋊Q8—611no—
392C2×C22⋊Q8#692311yescharacteristic
393C2×C4×Q8—611no—
394C2×C4×D4—611no—
395C2×C4×D4—611no—
396C2×C4×D4—611no—
397C22×C4⋊C4—611no—
398C22×C4⋊C4—611no—
399#436—1222no—
400#435—1222no—
401#435—1222no—
402C8×D4—1222no—
403#423—612no—
404C2×#101—612no—
405C2×#101—612no—
406#407—612no—
407#407—612no—
408C4×M16—612no—
409#343—611no—
410#343—611no—
411#343—611no—
412#343—612no—
413#343—612no—
414#343—612no—
415#343—612no—
416#343—611no—
417C61#2248111yescharacteristic, complemented, Sylow
418C22×Q8—611no—
419C22×Q8—611no—
420C22×Q8C2×#692311yescharacteristic
421C22×D4—611no—
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—611no—
425C23×C4—611no—
426C23×C4—611no—
427C23×C4C2×#692311yescharacteristic
428C2×M16—612no—
429C2×M16—612no—
430C2×M16—612no—
431C2×M16—612no—
432C2×M16—1222no—
433C2×M16—1222no—
434C2×M16—1224no—
435C2×M16—1224no—
436C2×M16—2442no—
437C2×M16—2442no—
438C22×C8—1222no—
439C22×C8—1222no—
440C4⋊Q8—1222no—
441C4⋊Q8—1222no—
442#125—1222no—
443#125—1222no—
444#125—1222no—
445#125—1222no—
446C22⋊Q8—22no—
447C22⋊Q8—22no—
448C22⋊Q8—1222no—
449C22⋊Q8—1222no—
450C22⋊Q8—1222no—
451C22⋊Q8—1222no—
452C22⋊Q8—1222no—
453C22⋊Q8—1222no—
454C22⋊Q8—1222no—
455C22⋊Q8—1222no—
456C22⋊Q8—1222no—
457C22⋊Q8—1222no—
458C4×Q8—1222no—
459C4×Q8—1222no—
460C4×D4—612no—
461C4×D4—612no—
462C4×D4—612no—
463C4×D4—612no—
464C4×D4—1221no—
465C4×D4—1221no—
466C4×D4—1221no—
467C4×D4—1221no—
468C4×D4—1221no—
469C4×D4—1221no—
470C4×D4—1221no—
471C4×D4—1221no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4—611no—
478C2×C4⋊C4—611no—
479C2×C4⋊C4—611no—
480C2×C4⋊C4—611no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—1222no—
486C2×C4⋊C4—1222no—
487C2×C4⋊C4—1222no—
488C2×C4⋊C4—1222no—
489C2×C4⋊C4C2×#692311yescharacteristic
490C2×C4⋊C4C2×#692311yescharacteristic
491C2×C4⋊C4C2×#692311yescharacteristic
492C2×C22⋊C4—611no—
493C2×C22⋊C4—611no—
494C2×C22⋊C4—611no—
495C2×C22⋊C4—611no—
496C2×C22⋊C4C2×#692311yescharacteristic
497C2×C22⋊C4C2×#692311yescharacteristic
498C2×C42—611no—
499C2×C42—611no—
500C2×C42—611no—
501C4⋊C8—1222no—
502C4⋊C8—1222no—
503#101—1224no—
504#101—2442no—
505C22⋊C8—1222no—
506C22⋊C8—1222no—
507C22⋊C8—1222no—
508C22⋊C8—1222no—
509#97—1222no—
510C4×C8—1222no—
511C24—611no—
512C24C22×#692311yescharacteristic
513C2×Q8—22no—
514C2×Q8—81no—
515C2×Q8—1222no—
516C2×Q8—1221no—
517C2×Q8—1222no—
518C2×Q8—1221no—
519C2×Q8—1222no—
520C2×Q8—4881no—
521C2×D4—611no—
522C2×D4—611no—
523C2×D4—611no—
524C2×D4—611no—
525C2×D4—1224no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—81no—
529C22×C4—611no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—612no—
535C22×C4—612no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—1222no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1222no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—4881no—
553C22×C4—4881no—
554C22×C4—4881no—
555C22×C4C22×#692311yescharacteristic
556C22×C4C22×#692311yescharacteristic
557C22×C4C22×#692311yescharacteristic
558C22×C4C22×#692311yescharacteristic
559C22×C4C22×#692311yescharacteristic
560C22×C4C22×#692311yescharacteristic
561M16—614no—
562M16—1222no—
563M16—1222no—
564M16—1222no—
565M16—1222no—
566M16—1222no—
567M16—1222no—
568M16—1222no—
569M16—2444no—
570M16—2444no—
571C2×C8—1222no—
572C2×C8—1222no—
573C2×C8—1222no—
574C2×C8—1222no—
575C2×C8—2444no—
576C2×C8—2444no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—612no—
581C4⋊C4—612no—
582C4⋊C4—1222no—
583C4⋊C4—1222no—
584C4⋊C4—1222no—
585C4⋊C4—1222no—
586C4⋊C4—1222no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—1221no—
590C4⋊C4—1221no—
591C4⋊C4—1222no—
592C4⋊C4—1222no—
593C4⋊C4—1222no—
594C4⋊C4—1222no—
595C4⋊C4—1222no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—612no—
599C22⋊C4—612no—
600C22⋊C4—1221no—
601C22⋊C4—1221no—
602C22⋊C4—1221no—
603C22⋊C4—1221no—
604C22⋊C4—1221no—
605C22⋊C4—1221no—
606C22⋊C4C22⋊#692312yes—
607C22⋊C4C22⋊#692312yes—
608C42—612no—
609C42—612no—
610C42—1221no—
611C42—1221no—
612C42—1221no—
613C42—1221no—
614C23—22no—
615C23—21no—
616C23—21no—
617C23—41no—
618C23—611no—
619C23—611no—
620C23—1222no—
621C23—1221no—
622C23—1221no—
623C23—2441no—
624C23C2×C22⋊#692311yescharacteristic
625C23C2×C22⋊#692311yescharacteristic
626C23C23×#692311yescharacteristic
627Q8—82no—
628Q8—4882no—
629Q8—2442no—
630Q8—2442no—
631D4—614no—
632D4—1222no—
633D4—1222no—
634D4—1222no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—81no—
648C2×C4—81no—
649C2×C4—611no—
650C2×C4—612no—
651C2×C4—612no—
652C2×C4—611no—
653C2×C4—611no—
654C2×C4—611no—
655C2×C4—612no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—1221no—
673C2×C4—4881no—
674C2×C4—4881no—
675C2×C4—4881no—
676C2×C4—4881no—
677C2×C4—4881no—
678C2×C4—4881no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4C2×C22⋊#692312yes—
683C2×C4C2×C22⋊#692312yes—
684C8—1224no—
685C8—2442no—
686C8—2442no—
687C8—2442no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—42no—
696C22—42no—
697C22—612no—
698C22—1221no—
699C22—1221no—
700C22—1221no—
701C22—1221no—
702C22—1221no—
703C22—2442no—
704C22—2442no—
705C22D61⋊#10112yes—
706C22C22×C22⋊#692311yescharacteristic
707C22#41×#692311yescharacteristic
708C22#1684083111yescharacteristic
709C4—22no—
710C4—22no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—612no—
716C4—612no—
717C4—612no—
718C4—1222no—
719C4—1221no—
720C4—2441no—
721C4—2441no—
722C4—2441no—
723C4—2441no—
724C2—21no—
725C2—21no—
726C2—22no—
727C2—41no—
728C2—1222no—
729C2—2441no—
730C2#2146232211yescharacteristic
731C2C2×D61⋊#10111yescharacteristic
732C2#2146242911yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC2×C22⋊Q8×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC22×C22⋊D61C2×C4
cosocleC22×Dic61C24
hypercenterC2×C22⋊Q8#6923
hypocenterC61#22481
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C22⋊C4 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. #21462011C2semidirect
3. #21461847C2semidirect
4. #21461846C2semidirect
5. #21461719C2semidirect
6. #21461718C2semidirect
7. #21461686C2semidirect
8. #21461572C2semidirect
9. #21461522C2semidirect
10. C2×#16840642C2semidirect
280. C22⋊D61#101semidirect
417. C61#22481semidirect

Maximal subgroups

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

subgroupindex
#214625572
#214620112
#214618472
#214618462
#214617192
#214617182
#214616862
#214615722
#214615222
C2×#168406422
C2×#168404662
#2248161