Finite Group Databasebeta

← #11901789

Subgroups — #11901789

Order 1152.

2245 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64101C211yesmaximal, characteristic, complemented
2C3×#5515C212yesmaximal, complemented
3#10595039C212yesmaximal, complemented
4#10594994C212yesmaximal, complemented
5#10594979C212yesmaximal, complemented
6#10594929C211yesmaximal, characteristic, complemented
7#10594920C212yesmaximal, complemented
8C4×#3805C212yesmaximal, complemented
9#10594810C211yesmaximal, characteristic, complemented
10#10594599C212yesmaximal, complemented
11#10594571C212yesmaximal, complemented
12#10594569C212yesmaximal, complemented
13#10594568C212yesmaximal, complemented
14#10594442C214yesmaximal, complemented
15#10594441C214yesmaximal, complemented
16#86427—32nomaximal
17C22×C4×C3⋊D3C2211yescharacteristic
18C2×#3805C2212yes—
19C2×C32×C4⋊C4C2211yescharacteristic
20C2×#3752C2211yescharacteristic
21C2×#3752C2211yescharacteristic
22C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
23C2×C4×C3⋊Dic3C2211yescharacteristic
24C2×C4×C3⋊Dic3C2211yescharacteristic
25#64101C2212yes—
26#64101C2212yes—
27#64101C2212yes—
28#64101C2212yes—
29C3×#930C2212yes—
30C3×#929C2214yes—
31C3×C4×#67C2214yes—
32C3×#924C2212yes—
33C3×#898C2214yescomplemented
34C3×#896C2214yescomplemented
35C3×#894C2214yescomplemented
36C3×#889C2214yescomplemented
37#63982C2212yes—
38#63981C2214yes—
39#63980C2212yes—
40#67⋊Dic3C2214yes—
41#63957C2212yes—
42#63919C2211yescharacteristic, complemented
43#63919C2211yescharacteristic, complemented
44C4×#627C2212yescomplemented
45#63915C2212yescomplemented
46#63914C2211yescharacteristic, complemented
47#63912C2212yes—
48#63912C2212yes—
49#63907C2214yes—
50#63906C2214yes—
51#63902C2212yescomplemented
52#63902C2212yescomplemented
53C4×#625C2212yescomplemented
54#63898C2212yescomplemented
55#63893C2214yescomplemented
56#63891C2214yescomplemented
57#63890C2214yes—
58#63886C2214yes—
59#63881C2214yes—
60#63881C2214yes—
61#63878C2214yescomplemented
62C4×D3×Dic3C2214yescomplemented
63#63873C2211yescharacteristic, complemented
64#63870C2212yescomplemented
65#63868C2214yes—
66#63865C2212yes—
67#63865C2212yes—
68#63861C2214yescomplemented
69#63852C2214yes—
70#63850C2214yes—
71#63848C2214yes—
72#63845C2214yescomplemented
73#63843C2212yescomplemented
74#63838C2212yescomplemented
75#63838C2212yescomplemented
76C3×#539—32no—
77#5710—34no—
78#5706—34no—
79#5696—34no—
80#5691—34no—
81#5665—34no—
82#5663—34no—
83#5656—34no—
84#5649—34no—
85#5644—32no—
86#5640—34no—
87#5624—34no—
88#5622—32no—
89#5617—32no—
90#5596—32no—
91#5560—34no—
92C4×#237—34no—
93#5515D312yescomplemented
94C2×#892—32no—
95C2×#892—61no—
96C23×C3⋊D3C2311yescharacteristic
97C22×C32×C4C2311yescharacteristic
98C22×C32×C4C2311yescharacteristic
99C22×C32×C4C2311yescharacteristic
100C22×C3⋊Dic3C2311yescharacteristic
101C22×C3⋊Dic3C2311yescharacteristic
102C22×C3⋊Dic3C2311yescharacteristic
103C2×C4×C3⋊D3—24no—
104C2×C4×C3⋊D3C2312yes—
105C2×C4×C3⋊D3C2312yes—
106C2×C3×#67C2314yes—
107C2×C3×D12C2312yes—
108C2×C3×C4×D3C2314yes—
109C2×C3×Dic6C2312yes—
110C2×#627C2312yes—
111C2×#627C2312yes—
112C2×#626C2314yes—
113C2×#626C2314yes—
114C2×#625C2312yes—
115C2×#625C2312yes—
116#3805—28no—
117C2×D3×Dic3C2314yes—
118C2×D3×Dic3C2314yes—
119C32×C4⋊C4C2312yes—
120C32×C4⋊C4C2312yes—
121#3752C2312yes—
122#3752C2312yes—
123#3752C2312yes—
124#3752C2312yes—
125C4⋊(C3⋊Dic3)C2312yes—
126C4⋊(C3⋊Dic3)C2312yes—
127C4×C3⋊Dic3C2311yescharacteristic
128C4×C3⋊Dic3C2312yes—
129C4×C3⋊Dic3C2311yescharacteristic
130C4×C3⋊Dic3C2311yescharacteristic
131C4×C3⋊Dic3C2311yescharacteristic
132C4×C3⋊Dic3C2312yes—
133C3×#217C2314yes—
134C3×(C2×D3)⋊C4C2314yes—
135C3×(C2×D3)⋊C4C2314yes—
136C3×(C2×D3)⋊C4C2314yes—
137C3×(C2×D3)⋊C4C2314yes—
138C3×C4⋊Dic3C2312yes—
139C3×C4⋊Dic3C2312yes—
140C3×Dic3⋊C4C2314yes—
141C3×Dic3⋊C4C2314yes—
142C3×Dic3⋊C4C2314yes—
143C3×Dic3⋊C4C2314yes—
144C3×C4×Dic3C2314yes—
145#3724C2312yes—
146#3724C2312yes—
147#3724C2312yes—
148#3724C2312yes—
149Dic3⋊Dic3C2314yes—
150Dic3⋊Dic3C2314yes—
151#3722C2314yes—
152#3722C2314yes—
153(C2×D3)⋊Dic3C2314yes—
154(C2×D3)⋊Dic3C2314yes—
155Dic32C2314yes—
156Dic32C2314yes—
157#3455—91noSylow
158C2×#237—34no—
159C22×C4×D3—32no—
160C22×C4×D3—61no—
161C3×#126—34no—
162C3×#125—34no—
163C3×#123—34no—
164C3×#123—34no—
165C3×C22⋊Q8—32no—
166C3×C22⋊Q8—34no—
167C3×#121—32no—
168C3×C4×D4—34no—
169C2×C3×C4⋊C4—21no—
170C2×C3×C4⋊C4C2×D312yes—
171#947—34no—
172Q8×Dic3—32no—
173#944—32no—
174#940—32no—
175#939—34no—
176#939—34no—
177#937—34no—
178D4×Dic3—34no—
179D4×Dic3—32no—
180#930—34no—
181#930C2×D312yes—
182#929—34no—
183#929C2×D314yes—
184C4×#67—34no—
185C4×#67C2×D314yes—
186C2×(C2×D3)⋊C4—32no—
187C2×(C2×D3)⋊C4—32no—
188C2×(C2×D3)⋊C4—61no—
189C2×(C2×D3)⋊C4—61no—
190C2×C4⋊Dic3—32no—
191C2×C4⋊Dic3—61no—
192#924C2×D312yes—
193C2×C4×Dic3—32no—
194C2×C4×Dic3—32no—
195C2×C4×Dic3—34no—
196C2×C4×Dic3—61no—
197C2×C4×Dic3—61no—
198#898—34no—
199#898—34no—
200#898—34no—
201#898—34no—
202#898C2×D314yescomplemented
203#897—34no—
204#896—34no—
205#896—34no—
206#896C2×D314yescomplemented
207#895—34no—
208#894—34no—
209#894—34no—
210#894C2×D314yescomplemented
211#893—32no—
212#893—34no—
213#893—34no—
214#892—34no—
215#892—34no—
216#892—34no—
217#892—34no—
218#892—34no—
219#892—62no—
220#892—62no—
221#892—62no—
222#892—62no—
223#890—34no—
224#889—34no—
225#889—34no—
226#889C2×D314yescomplemented
227#888—32no—
228#888—32no—
229#887—32no—
230#887—34no—
231#887—34no—
232#886—34no—
233#886—34no—
234#885—34no—
235#885—34no—
236#885—34no—
237#884—34no—
238#884—34no—
239#884—34no—
240#883—34no—
241#882—34no—
242#67⋊C4—34no—
243#67⋊C4—34no—
244#67⋊C4—34no—
245#67⋊C4—34no—
246#67⋊C4—34no—
247#879—34no—
248#878—34no—
249#878—34no—
250#877—34no—
251#877—34no—
252#876—34no—
253#875—34no—
254C42×D3—34no—
255C4×Dic6—34no—
256C23×C32C2411yescharacteristic
257C22×C3⋊D3—22no—
258C22×C3⋊D3—41no—
259C22×C3⋊D3—41no—
260C22×C3⋊D3C2412yes—
261C22×C3×D3C2414yes—
262C2×C32×C4—22no—
263C2×C32×C4—41no—
264C2×C32×C4—41no—
265C2×C32×C4C2412yes—
266C2×C32×C4C2411yescharacteristic
267C2×C32×C4C2412yes—
268C2×C32×C4C2411yescharacteristic
269C2×C3⋊Dic3—41no—
270C2×C3⋊Dic3—41no—
271C2×C3⋊Dic3#4114yes—
272C2×C3⋊Dic3C2412yes—
273C2×C3⋊Dic3C2411yescharacteristic
274C2×C3⋊Dic3C2411yescharacteristic
275C2×C3⋊Dic3C2411yescharacteristic
276C2×C3⋊Dic3C2411yescharacteristic
277C4×C3⋊D3—24no—
278C4×C3⋊D3—24no—
279C3×#67—28no—
280C2×C3×Dic3C2414yes—
281C2×C3×Dic3C2414yes—
282C2×C3×Dic3C2414yes—
283C3×D12—42no—
284C3×C4×D3—44no—
285C3×Dic6—42no—
286#627—24no—
287#627—42no—
288#626—44no—
289#626—44no—
290#625—24no—
291#625—42no—
292D3×Dic3—28no—
293D3×Dic3—44no—
294#542—92no—
295#542—92no—
296#541—92no—
297#540—92no—
298#539—32no—
299#539—92no—
300#538—92no—
301#538—92no—
302#533—91no—
303#532—91no—
304#529—94no—
305#529—94no—
306#525—92no—
307C4×#41—92no—
308C2×#117—91no—
309C23×D3—32no—
310C23×D3—61no—
311C2×C3×Q8—32no—
312C2×C3×D4—34no—
313C2×C3×D4—32no—
314C22×C3×C4—21no—
315C22×C3×C4—21no—
316C22×C3×C4—21no—
317C22×C3×C4—34no—
318C22×C3×C4C22×D312yes—
319C22×C3×C4C22×D312yes—
320C22×C3×C4C22×D312yes—
321C2×#67—34no—
322C2×#67—34no—
323C2×#67—34no—
324C2×#67—34no—
325C2×#67C22×D314yes—
326C22×Dic3—32no—
327C22×Dic3—32no—
328C22×Dic3—32no—
329C22×Dic3—34no—
330C22×Dic3—34no—
331C22×Dic3—61no—
332C22×Dic3—61no—
333C22×Dic3—61no—
334#237—616no—
335C2×D12—34no—
336C2×D12—34no—
337C2×D12C22×D312yes—
338C2×C4×D3—34no—
339C2×C4×D3—34no—
340C2×C4×D3—34no—
341C2×C4×D3—34no—
342C2×C4×D3—62no—
343C2×C4×D3—62no—
344C2×C4×D3—68no—
345C2×C4×D3—68no—
346C2×C4×D3C22×D314yes—
347C2×Dic6—34no—
348C2×Dic6—34no—
349C2×Dic6C22×D312yes—
350C3×C4⋊C4—22no—
351C3×C4⋊C4—22no—
352C3×C4⋊C4—32no—
353C3×C4⋊C4—34no—
354C3×C4⋊C4—34no—
355C3×C4⋊C4—32no—
356C3×C4⋊C4—34no—
357C3×C4⋊C4—34no—
358C3×C4⋊C4C22×D314yes—
359C3×C4⋊C4C22×D314yes—
360C3×C22⋊C4—34no—
361C3×C22⋊C4—34no—
362C3×C22⋊C4—34no—
363C3×C22⋊C4—34no—
364C3×C22⋊C4—34no—
365C3×C42—34no—
366#217—34no—
367#217—34no—
368#217C22×D314yes—
369(C2×D3)⋊C4—34no—
370(C2×D3)⋊C4—34no—
371(C2×D3)⋊C4—34no—
372(C2×D3)⋊C4—34no—
373(C2×D3)⋊C4—34no—
374(C2×D3)⋊C4—34no—
375(C2×D3)⋊C4—34no—
376(C2×D3)⋊C4—34no—
377(C2×D3)⋊C4—34no—
378(C2×D3)⋊C4—34no—
379(C2×D3)⋊C4—62no—
380(C2×D3)⋊C4—62no—
381(C2×D3)⋊C4—62no—
382(C2×D3)⋊C4—62no—
383(C2×D3)⋊C4C22×D314yes—
384(C2×D3)⋊C4C22×D314yes—
385(C2×D3)⋊C4C22×D314yes—
386(C2×D3)⋊C4C22×D314yes—
387C4⋊Dic3—34no—
388C4⋊Dic3—34no—
389C4⋊Dic3—34no—
390C4⋊Dic3—34no—
391C4⋊Dic3—62no—
392C4⋊Dic3—62no—
393C4⋊Dic3C22×D312yes—
394C4⋊Dic3C22×D312yes—
395Dic3⋊C4—34no—
396Dic3⋊C4—34no—
397Dic3⋊C4—34no—
398Dic3⋊C4—34no—
399Dic3⋊C4—34no—
400Dic3⋊C4—34no—
401Dic3⋊C4C22×D314yes—
402Dic3⋊C4C22×D314yes—
403Dic3⋊C4C22×D314yes—
404Dic3⋊C4C22×D314yes—
405C4×Dic3—34no—
406C4×Dic3—34no—
407C4×Dic3—32no—
408C4×Dic3—32no—
409C4×Dic3—32no—
410C4×Dic3—32no—
411C4×Dic3—34no—
412C4×Dic3—34no—
413C4×Dic3—34no—
414C4×Dic3—34no—
415C4×Dic3—62no—
416C4×Dic3—61no—
417C4×Dic3—62no—
418C4×Dic3—61no—
419C4×Dic3—61no—
420C4×Dic3—61no—
421C4×Dic3C22×D314yes—
422C22×C32—21no—
423C22×C32—21no—
424C22×C32C2×#4112yes—
425C22×C32C2511yescharacteristic
426C2×C3⋊D3—22no—
427C2×C3⋊D3—22no—
428C2×C3⋊D3—22no—
429C2×C3⋊D3—44no—
430C2×C3×D3—24no—
431C2×C3×D3—24no—
432C2×C3×D3—24no—
433C32×C4—22no—
434C32×C4—21no—
435C32×C4—22no—
436C32×C4—21no—
437C3⋊Dic3—22no—
438C3⋊Dic3—21no—
439C3⋊Dic3—21no—
440C3⋊Dic3C2×#4112yes—
441C3⋊Dic3C2×#4112yes—
442C3×Dic3—24no—
443C3×Dic3—24no—
444C3×Dic3—24no—
445C2×#41—92no—
446C23×C4—91no—
447C4⋊Q8—91no—
448C4⋊Q8—91no—
449C4⋊Q8—91no—
450#127—91no—
451#126—34no—
452#126—94no—
453#126—94no—
454#126—94no—
455#125—34no—
456#125—94no—
457#125—92no—
458#124—94no—
459#124—92no—
460#124—94no—
461#123—34no—
462#123—34no—
463#123—94no—
464#123—94no—
465#123—94no—
466C22⋊Q8—32no—
467C22⋊Q8—34no—
468C22⋊Q8—92no—
469C22⋊Q8—94no—
470C22⋊Q8—92no—
471C22⋊Q8—92no—
472#121—32no—
473#121—92no—
474#121—92no—
475#121—94no—
476#121—94no—
477#121—92no—
478#120—94no—
479C4×Q8—92no—
480C4×Q8—92no—
481C4×Q8—92no—
482C4×Q8—92no—
483C4×D4—34no—
484C4×D4—92no—
485C4×D4—92no—
486C4×D4—94no—
487C4×D4—94no—
488C4×D4—94no—
489C4×D4—92no—
490C4×D4—92no—
491#117—92no—
492#117—94no—
493#117—92no—
494#117—92no—
495#117—92no—
496#117—92no—
497C2×C4⋊C4—91no—
498C2×C4⋊C4D3211yescharacteristic
499C2×C22⋊C4—91no—
500C2×C22⋊C4—91no—
501C2×C42—94no—
502C2×C42—91no—
503C2×C42—91no—
504C23×C3—21no—
505C23×C3—34no—
506C23×C3C23×D312yes—
507C22×D3—34no—
508C22×D3—62no—
509C22×D3—64no—
510C22×D3—64no—
511C22×D3—122no—
512C22×D3—122no—
513C22×D3—122no—
514C22×D3—122no—
515C22×D3C23×D314yes—
516C3×Q8—122no—
517C3×D4—68no—
518C3×D4—122no—
519C2×C3×C4—24no—
520C2×C3×C4—24no—
521C2×C3×C4—22no—
522C2×C3×C4—22no—
523C2×C3×C4—21no—
524C2×C3×C4—21no—
525C2×C3×C4—34no—
526C2×C3×C4—34no—
527C2×C3×C4—34no—
528C2×C3×C4—42no—
529C2×C3×C4—42no—
530C2×C3×C4—42no—
531C2×C3×C4—42no—
532C2×C3×C4—124no—
533C2×C3×C4C23×D314yes—
534C2×C3×C4C23×D312yes—
535C2×C3×C4C23×D312yes—
536C2×C3×C4C23×D314yes—
537#67—28no—
538#67—68no—
539#67—124no—
540#67—124no—
541#67—124no—
542C2×Dic3—38no—
543C2×Dic3—32no—
544C2×Dic3—32no—
545C2×Dic3—34no—
546C2×Dic3—32no—
547C2×Dic3—32no—
548C2×Dic3—64no—
549C2×Dic3—61no—
550C2×Dic3—61no—
551C2×Dic3—62no—
552C2×Dic3—61no—
553C2×Dic3—61no—
554C2×Dic3—68no—
555C2×Dic3—124no—
556C2×Dic3—122no—
557C2×Dic3—122no—
558C2×Dic3—122no—
559C2×Dic3—122no—
560C2×Dic3C23×D314yes—
561C2×Dic3C23×D314yes—
562C2×Dic3C23×D314yes—
563D12—42no—
564D12—124no—
565D12—124no—
566C4×D3—44no—
567C4×D3—68no—
568C4×D3—68no—
569C4×D3—68no—
570C4×D3—68no—
571C4×D3—68no—
572C4×D3—124no—
573Dic6—42no—
574Dic6—68no—
575Dic6—124no—
576C2×C32—22no—
577C2×C32C22×#4111yescharacteristic
578C2×C32#58511yescharacteristic
579C2×C32#58511yescharacteristic
580C3⋊D3—42no—
581C3×D3—44no—
582C24—91no—
583#41—188no—
584C2×Q8—32no—
585C2×Q8—92no—
586C2×Q8—92no—
587C2×D4—34no—
588C2×D4—32no—
589C2×D4—94no—
590C2×D4—94no—
591C2×D4—92no—
592C2×D4—92no—
593C22×C4—34no—
594C22×C4—94no—
595C22×C4—94no—
596C22×C4—91no—
597C22×C4—91no—
598C22×C4—91no—
599C22×C4—92no—
600C22×C4—92no—
601C22×C4—184no—
602C22×C4C2×D3211yescharacteristic
603C22×C4C2×D3211yescharacteristic
604C22×C4C2×D3211yescharacteristic
605C4⋊C4—34no—
606C4⋊C4—32no—
607C4⋊C4—34no—
608C4⋊C4—34no—
609C4⋊C4—34no—
610C4⋊C4—32no—
611C4⋊C4—92no—
612C4⋊C4—92no—
613C4⋊C4—94no—
614C4⋊C4—92no—
615C4⋊C4—94no—
616C4⋊C4—92no—
617C4⋊C4—92no—
618C4⋊C4—92no—
619C4⋊C4C2×D3212yes—
620C4⋊C4C2×D3212yes—
621C22⋊C4—34no—
622C22⋊C4—34no—
623C22⋊C4—34no—
624C22⋊C4—34no—
625C22⋊C4—34no—
626C22⋊C4—94no—
627C22⋊C4—94no—
628C22⋊C4—94no—
629C22⋊C4—94no—
630C22⋊C4—92no—
631C22⋊C4—92no—
632C22⋊C4—92no—
633C22⋊C4—92no—
634C42—34no—
635C42—94no—
636C42—94no—
637C42—92no—
638C42—91no—
639C42—91no—
640C42—92no—
641C42—91no—
642C42—91no—
643C22×C3—22no—
644C22×C3—22no—
645C22×C3—22no—
646C22×C3—22no—
647C22×C3—22no—
648C22×C3—21no—
649C22×C3—64no—
650C22×C3—64no—
651C22×C3—64no—
652C22×C3D3×#4114yes—
653C22×C3C24×D312yes—
654C2×D3—24no—
655C2×D3—24no—
656C2×D3—24no—
657C2×D3—64no—
658C2×D3—64no—
659C2×D3—64no—
660C2×D3—64no—
661C2×D3—122no—
662C2×D3—122no—
663C2×D3—128no—
664C2×D3—128no—
665C3×C4—24no—
666C3×C4—24no—
667C3×C4—22no—
668C3×C4—24no—
669C3×C4—22no—
670C3×C4—42no—
671C3×C4—41no—
672C3×C4—41no—
673C3×C4—64no—
674C3×C4—64no—
675C3×C4—64no—
676Dic3—24no—
677Dic3—24no—
678Dic3—24no—
679Dic3—34no—
680Dic3—34no—
681Dic3—62no—
682Dic3—62no—
683Dic3—62no—
684Dic3—64no—
685Dic3—62no—
686Dic3—122no—
687Dic3—121no—
688Dic3—121no—
689C32#345511yescharacteristic, complemented, Sylow
690C23—34no—
691C23—92no—
692C23—182no—
693C23—361no—
694C23—361no—
695C23C22×D3211yescharacteristic
696Q8—122no—
697Q8—184no—
698Q8—362no—
699D4—68no—
700D4—122no—
701D4—184no—
702D4—364no—
703D4—364no—
704D4—362no—
705C2×C4—22no—
706C2×C4—34no—
707C2×C4—34no—
708C2×C4—34no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—94no—
712C2×C4—91no—
713C2×C4—91no—
714C2×C4—92no—
715C2×C4—91no—
716C2×C4—91no—
717C2×C4—124no—
718C2×C4—184no—
719C2×C4—184no—
720C2×C4—188no—
721C2×C4—364no—
722C2×C4—361no—
723C2×C4—361no—
724C2×C4C22×D3212yes—
725C2×C4C22×D3211yescharacteristic
726C2×C4C22×D3211yescharacteristic
727C2×C4C22×D3212yes—
728C2×C3—24no—
729C2×C3—24no—
730C2×C3—21no—
731C2×C3—21no—
732C2×C3—21no—
733C2×C3—124no—
734C2×C3C2×D3×#4112yes—
735C2×C3#596612yes—
736C2×C3#596812yes—
737D3—44no—
738D3—124no—
739D3—124no—
740C22—21no—
741C22—21no—
742C22—64no—
743C22—64no—
744C22—64no—
745C22—182no—
746C22—182no—
747C22—182no—
748C22—364no—
749C22#6430612yes—
750C22C23×D3211yescharacteristic
751C4—22no—
752C4—22no—
753C4—21no—
754C4—21no—
755C4—64no—
756C4—64no—
757C4—64no—
758C4—92no—
759C4—92no—
760C4—182no—
761C4—181no—
762C4—181no—
763C3—21no—
764C3#8642712yescomplemented
765C2—22no—
766C2—124no—
767C2—362no—
768C2C2×#6430611yescharacteristic
769C2#1059667911yescharacteristic
770C2#1059668911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×C4⋊C4C22
hypercenterC2×C4⋊C4D32
hypocenterC32#3455
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64101C2semidirect
2. C3×#5515C2semidirect
3. #10595039C2semidirect
4. #10594994C2semidirect
5. #10594979C2semidirect
6. #10594929C2semidirect
7. #10594920C2semidirect
8. C4×#3805C2semidirect
9. #10594810C2semidirect
10. #10594599C2semidirect
11. #10594571C2semidirect
12. #10594569C2semidirect
13. #10594568C2semidirect
14. #10594442C2semidirect
15. #10594441C2semidirect
33. C3×#898C22semidirect
34. C3×#896C22semidirect
35. C3×#894C22semidirect
36. C3×#889C22semidirect
42. #63919C22semidirect
43. #63919C22semidirect
44. C4×#627C22semidirect
45. #63915C22semidirect
46. #63914C22semidirect
51. #63902C22semidirect
52. #63902C22semidirect
53. C4×#625C22semidirect
54. #63898C22semidirect
55. #63893C22semidirect
56. #63891C22semidirect
61. #63878C22semidirect
62. C4×D3×Dic3C22semidirect
63. #63873C22semidirect
64. #63870C22semidirect
68. #63861C22semidirect
72. #63845C22semidirect
73. #63843C22semidirect
74. #63838C22semidirect
75. #63838C22semidirect
93. #5515D3semidirect
202. #898C2×D3semidirect
206. #896C2×D3semidirect
210. #894C2×D3semidirect
226. #889C2×D3semidirect
689. C32#3455semidirect
764. C3#86427semidirect

Maximal subgroups

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

subgroupindex
C2×#641012
C3×#55152
#105950392
#105949942
#105949792
#105949292
#105949202
C4×#38052
#105948102
#105945992
#105945712
#105945692
#105945682
#105944422
#105944412
#864273