Finite Group Databasebeta

← #11784622

Subgroups — #11784622

Order 1152.

1329 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3804C211yesmaximal, characteristic
2C2×#63633C211yesmaximal, characteristic, complemented
3C2×C3×#806C211yesmaximal, characteristic, complemented
4C3×#4943C211yesmaximal, characteristic, complemented
5C2×#63581C211yesmaximal, characteristic, complemented
6C2×#63580C211yesmaximal, characteristic, complemented
7#10591696C211yesmaximal, characteristic, complemented
8#70027—31nomaximal
9#69537—31nomaximal
10C22×#638C2211yescharacteristic
11C22×C3×#67C2211yescharacteristic
12C23×C3×Dic3C2211yescharacteristic
13C22×#627C411yescharacteristic, complemented
14C22×#626C411yescharacteristic, complemented
15C22×#624C411yescharacteristic, complemented
16C2×#3804—22no—
17C2×#3804—22no—
18C2×#3804—22no—
19C2×#3804—22no—
20C2×#3804—22no—
21C2×#3804—22no—
22C22×D3×Dic3C411yescharacteristic, complemented
23C2×C32×C22⋊C4C2211yescharacteristic
24C2×#3757C2211yescharacteristic
25C2×C3×#217C2211yescharacteristic
26C2×C3×#217C2211yescharacteristic
27#63633—22no—
28C3×C3⋊#95—22no—
29C3×#806—22no—
30#63581—22no—
31#63580—22no—
32#63579—22no—
33C22×#237—31no—
34C22×#235—31no—
35C2×C3×#99—31no—
36C3×#381—31no—
37C2×#834—31no—
38#5211—31no—
39C2×#806—31no—
40C2×#806—31no—
41C2×#806—31no—
42C2×#806—31no—
43C2×#806—31no—
44C2×#806—61no—
45C2×#806D311yescharacteristic, complemented
46#4943—31no—
47#4943D311yescharacteristic, complemented
48C24×C32C2311yescharacteristic
49C23×C3⋊D3C2×C411yescharacteristic
50C23×C3×D3C2×C411yescharacteristic
51C22×C32×C4—21no—
52C2×#638—21no—
53C2×#638—21no—
54C2×#638—21no—
55C2×#638—21no—
56C2×#638D412yes—
57C2×#638D412yes—
58C22×C3⋊Dic3—21no—
59C22×C3⋊Dic3C2×C411yescharacteristic
60C2×C3×#67—21no—
61C2×C3×#67—21no—
62C2×C3×#67—21no—
63C2×C3×#67—21no—
64C2×C3×#67D412yes—
65C2×C3×#67D412yes—
66C22×C3×Dic3—21no—
67C22×C3×Dic3—21no—
68C22×C3×Dic3—21no—
69C22×C3×Dic3—21no—
70C22×C3×Dic3—21no—
71C22×C3×Dic3—21no—
72C22×C3×Dic3C2×C411yescharacteristic
73C22×C3×Dic3C2×C411yescharacteristic
74C22×C3×Dic3C2×C411yescharacteristic
75C22×C3×Dic3D412yes—
76C22×C3×Dic3D412yes—
77C2×#627—22no—
78C2×#627—22no—
79C2×#627—22no—
80C2×#626—22no—
81C2×#626—22no—
82C2×#626—22no—
83C2×#624—22no—
84C2×#624—22no—
85C2×#624—22no—
86#3804—28no—
87#3804—28no—
88#3804—28no—
89#3804—28no—
90C2×D3×Dic3—22no—
91C2×D3×Dic3—22no—
92C2×D3×Dic3—22no—
93C32×C22⋊C4—21no—
94C32×C22⋊C4—21no—
95#3757—21no—
96#3757—21no—
97C3×#217—21no—
98C3×#217—21no—
99C3×#217—21no—
100C3×#217—21no—
101#1782—91noSylow
102C22×C3×D4—31no—
103C23×C3×C4—31no—
104C22×#67—31no—
105C22×#67—31no—
106C22×#67—31no—
107C22×#67—61no—
108C22×#67C2×D311yescharacteristic
109C23×Dic3—31no—
110C23×Dic3C2×D311yescharacteristic
111C2×#237—62no—
112C2×#237—62no—
113C2×#237—62no—
114C2×#237—62no—
115C2×#237—62no—
116C2×#237—62no—
117C2×#235—62no—
118C2×#235—62no—
119C2×#235—62no—
120C2×#235—62no—
121C2×#235—62no—
122C2×#235—62no—
123C22×D12—31no—
124C22×C4×D3—31no—
125C22×C4×D3—31no—
126C22×C4×D3—31no—
127C22×Dic6—31no—
128C22×Dic6—31no—
129C2×C3×C22⋊C4—21no—
130C2×C3×C22⋊C4—31no—
131C2×C3×C22⋊C4—31no—
132C2×C3×C22⋊C4C2×D311yescharacteristic
133C2×C3×C22⋊C4C2×D311yescharacteristic
134C2×#217—31no—
135C2×#217—31no—
136C2×#217—61no—
137C2×#217C2×D311yescharacteristic
138C2×#217C2×D311yescharacteristic
139C3×#99—62no—
140C3×#95—62no—
141#834—62no—
142C3⋊#95—22no—
143C3⋊#95—62no—
144C3⋊#95—62no—
145#806—22no—
146#806—62no—
147#806—62no—
148#806—62no—
149#806—62no—
150#806—64no—
151#806—62no—
152C23×C32—42no—
153C23×C32C22×C411yescharacteristic
154C23×C32C2×D411yescharacteristic
155C23×C32C2×D411yescharacteristic
156C23×C32C2×D411yescharacteristic
157C23×C32C2×D411yescharacteristic
158C23×C32C2×D411yescharacteristic
159C23×C32C2×D411yescharacteristic
160C22×C3⋊D3—21no—
161C22×C3⋊D3—21no—
162C22×C3⋊D3—42no—
163C22×C3⋊D3C22⋊C412yes—
164C22×C3×D3—21no—
165C22×C3×D3—21no—
166C22×C3×D3—42no—
167C22×C3×D3C22⋊C412yes—
168C2×C32×C4—41no—
169C2×C32×C4—42no—
170#638—22no—
171#638—22no—
172#638—22no—
173#638—22no—
174C2×C3⋊Dic3—21no—
175C2×C3⋊Dic3—21no—
176C2×C3⋊Dic3—41no—
177C2×C3⋊Dic3—42no—
178C2×C3⋊Dic3C22⋊C412yes—
179C3×#67—22no—
180C3×#67—22no—
181C3×#67—22no—
182C3×#67—22no—
183C2×C3×Dic3—21no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—21no—
186C2×C3×Dic3—21no—
187C2×C3×Dic3—21no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—42no—
194C2×C3×Dic3—42no—
195C2×C3×Dic3—41no—
196C2×C3×Dic3—41no—
197C2×C3×Dic3C22⋊C412yes—
198C2×C3×Dic3C22⋊C412yes—
199C2×C3×Dic3C22⋊C412yes—
200#627—28no—
201#626—28no—
202#624—28no—
203D3×Dic3—28no—
204C22×#41—91no—
205C2×#99—31no—
206C2×#99—91no—
207C2×#99—91no—
208C2×#99—91no—
209#381—31no—
210#381—91no—
211C24×C3—21no—
212C24×C3—31no—
213C24×C3C22×D311yescharacteristic
214C24×C3C22×D311yescharacteristic
215C23×D3—31no—
216C23×D3—31no—
217C23×D3—61no—
218C23×D3C4×D311yescharacteristic
219C2×C3×D4—32no—
220C2×C3×D4—32no—
221C2×C3×D4—61no—
222C2×C3×D4—61no—
223C2×C3×D4—61no—
224C2×C3×D4—61no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—31no—
228C22×C3×C4—31no—
229C22×C3×C4—31no—
230C22×C3×C4—32no—
231C22×C3×C4—32no—
232C22×C3×C4—41no—
233C22×C3×C4—61no—
234C22×C3×C4—61no—
235C22×C3×C4—61no—
236C22×C3×C4—61no—
237C22×C3×C4—61no—
238C22×C3×C4—61no—
239C2×#67—21no—
240C2×#67—21no—
241C2×#67—21no—
242C2×#67—21no—
243C2×#67—32no—
244C2×#67—32no—
245C2×#67—32no—
246C2×#67—32no—
247C2×#67—62no—
248C2×#67—62no—
249C2×#67—62no—
250C2×#67—62no—
251C2×#67—61no—
252C2×#67—61no—
253C2×#67—61no—
254C2×#67—61no—
255C2×#67—61no—
256C2×#67—61no—
257C2×#67—61no—
258C2×#67—61no—
259C2×#67—62no—
260C2×#67—121no—
261C2×#67—121no—
262C2×#67—121no—
263C2×#67—121no—
264C2×#67D1212yes—
265C2×#67#6712yes—
266C22×Dic3—21no—
267C22×Dic3—21no—
268C22×Dic3—21no—
269C22×Dic3—21no—
270C22×Dic3—21no—
271C22×Dic3—21no—
272C22×Dic3—31no—
273C22×Dic3—31no—
274C22×Dic3—61no—
275C22×Dic3—62no—
276C22×Dic3—62no—
277C22×Dic3—62no—
278C22×Dic3—61no—
279C22×Dic3—61no—
280C22×Dic3—121no—
281C22×Dic3C4×D311yescharacteristic
282C22×Dic3C4×D311yescharacteristic
283C22×Dic3C4×D311yescharacteristic
284C22×Dic3D1212yes—
285C22×Dic3#6712yes—
286#237—68no—
287#237—68no—
288#237—68no—
289#237—68no—
290#235—68no—
291#235—68no—
292#235—68no—
293#235—68no—
294C2×D12—62no—
295C2×D12—62no—
296C2×D12—62no—
297C2×C4×D3—62no—
298C2×C4×D3—62no—
299C2×C4×D3—62no—
300C2×C4×D3—62no—
301C2×C4×D3—62no—
302C2×C4×D3—62no—
303C2×C4×D3—62no—
304C2×C4×D3—62no—
305C2×C4×D3—62no—
306C2×Dic6—62no—
307C2×Dic6—62no—
308C2×Dic6—62no—
309C2×Dic6—62no—
310C2×Dic6—62no—
311C2×Dic6—62no—
312C3×C22⋊C4—22no—
313C3×C22⋊C4—21no—
314C3×C22⋊C4—21no—
315C3×C22⋊C4—21no—
316C3×C22⋊C4—21no—
317C3×C22⋊C4—41no—
318C3×C22⋊C4—61no—
319C3×C22⋊C4—61no—
320C3×C22⋊C4—61no—
321C3×C22⋊C4—61no—
322#217—21no—
323#217—21no—
324#217—21no—
325#217—21no—
326#217—62no—
327#217—61no—
328#217—61no—
329#217—61no—
330#217—61no—
331#217—121no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—22no—
335C22×C32—41no—
336C22×C32—41no—
337C22×C32—41no—
338C22×C32—41no—
339C22×C32C2×C22⋊C411yescharacteristic
340C22×C32C2×C22⋊C411yescharacteristic
341C22×C32C2×C22⋊C411yescharacteristic
342C22×C32#12011yescharacteristic
343C22×C32#12011yescharacteristic
344C22×C32#12011yescharacteristic
345C22×C32#12011yescharacteristic
346C2×C3⋊D3—22no—
347C2×C3⋊D3—42no—
348C2×C3⋊D3—42no—
349C2×C3⋊D3—42no—
350C2×C3×D3—22no—
351C2×C3×D3—42no—
352C2×C3×D3—42no—
353C2×C3×D3—42no—
354C32×C4—81no—
355C3⋊Dic3—22no—
356C3⋊Dic3—81no—
357C3×Dic3—22no—
358C3×Dic3—22no—
359C3×Dic3—22no—
360C3×Dic3—81no—
361C3×Dic3—81no—
362C2×#41—182no—
363C2×#41—182no—
364C2×#41—182no—
365C2×#41—182no—
366C2×#41—182no—
367C2×#41—182no—
368C22×Q8—91no—
369C22×D4—31no—
370C22×D4—91no—
371C22×D4—91no—
372C23×C4—31no—
373C23×C4—91no—
374C23×C4—91no—
375C2×C22⋊C4—31no—
376C2×C22⋊C4—31no—
377C2×C22⋊C4—91no—
378C2×C22⋊C4D3211yescharacteristic
379#99—62no—
380#99—182no—
381#99—182no—
382#99—182no—
383#95—62no—
384#95—182no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—21no—
392C23×C3—32no—
393C23×C3—42no—
394C23×C3—42no—
395C23×C3—61no—
396C23×C3—61no—
397C23×C3—82no—
398C23×C3—122no—
399C23×C3C2×C4×D311yescharacteristic
400C23×C3C2×C4×D311yescharacteristic
401C23×C3C2×D1211yescharacteristic
402C23×C3C2×D1211yescharacteristic
403C23×C3D3×D411yescharacteristic
404C23×C3D3×D411yescharacteristic
405C23×C3D3×D411yescharacteristic
406C23×C3D3×D411yescharacteristic
407C23×C3D3×D411yescharacteristic
408C23×C3D3×D411yescharacteristic
409C23×C3D3×D411yescharacteristic
410C23×C3D3×D411yescharacteristic
411C23×C3C2×#6711yescharacteristic
412C23×C3C2×#6711yescharacteristic
413C22×D3—21no—
414C22×D3—21no—
415C22×D3—32no—
416C22×D3—32no—
417C22×D3—42no—
418C22×D3—62no—
419C22×D3—61no—
420C22×D3—61no—
421C22×D3—61no—
422C22×D3—61no—
423C22×D3—121no—
424C22×D3—121no—
425C22×D3—122no—
426C22×D3—122no—
427C22×D3—242no—
428C22×D3(C2×D3)⋊C412yes—
429C3×D4—62no—
430C3×D4—62no—
431C3×D4—62no—
432C3×D4—62no—
433C2×C3×C4—32no—
434C2×C3×C4—32no—
435C2×C3×C4—32no—
436C2×C3×C4—42no—
437C2×C3×C4—42no—
438C2×C3×C4—42no—
439C2×C3×C4—41no—
440C2×C3×C4—41no—
441C2×C3×C4—61no—
442C2×C3×C4—61no—
443C2×C3×C4—61no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—61no—
447C2×C3×C4—61no—
448C2×C3×C4—61no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—82no—
452C2×C3×C4—122no—
453C2×C3×C4—122no—
454C2×C3×C4—121no—
455C2×C3×C4—121no—
456#67—22no—
457#67—22no—
458#67—22no—
459#67—22no—
460#67—68no—
461#67—62no—
462#67—62no—
463#67—62no—
464#67—62no—
465#67—62no—
466#67—62no—
467#67—62no—
468#67—62no—
469#67—122no—
470#67—122no—
471#67—122no—
472#67—122no—
473C2×Dic3—21no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—21no—
477C2×Dic3—21no—
478C2×Dic3—21no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—42no—
486C2×Dic3—42no—
487C2×Dic3—41no—
488C2×Dic3—41no—
489C2×Dic3—62no—
490C2×Dic3—68no—
491C2×Dic3—61no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—121no—
496C2×Dic3—121no—
497C2×Dic3—122no—
498C2×Dic3—122no—
499C2×Dic3—122no—
500C2×Dic3—121no—
501C2×Dic3—121no—
502C2×Dic3—242no—
503C2×Dic3(C2×D3)⋊C412yes—
504C2×Dic3(C2×D3)⋊C412yes—
505C2×Dic3(C2×D3)⋊C412yes—
506D12—68no—
507C4×D3—68no—
508C4×D3—68no—
509C4×D3—68no—
510Dic6—68no—
511Dic6—68no—
512C2×C32—21no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32—21no—
516C2×C32—21no—
517C2×C32—21no—
518C2×C32#37911yescharacteristic
519C2×C32#41012yes—
520C3⋊D3—42no—
521C3×D3—42no—
522C24—31no—
523C24—91no—
524C24C2×D3211yescharacteristic
525#41—188no—
526#41—188no—
527#41—188no—
528#41—188no—
529C2×Q8—182no—
530C2×Q8—182no—
531C2×Q8—182no—
532C2×D4—32no—
533C2×D4—32no—
534C2×D4—61no—
535C2×D4—61no—
536C2×D4—61no—
537C2×D4—61no—
538C2×D4—92no—
539C2×D4—92no—
540C2×D4—182no—
541C2×D4—182no—
542C2×D4—182no—
543C2×D4—181no—
544C2×D4—181no—
545C2×D4—181no—
546C2×D4—181no—
547C22×C4—21no—
548C22×C4—31no—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—32no—
552C22×C4—32no—
553C22×C4—61no—
554C22×C4—61no—
555C22×C4—61no—
556C22×C4—61no—
557C22×C4—61no—
558C22×C4—61no—
559C22×C4—91no—
560C22×C4—182no—
561C22×C4—182no—
562C22×C4—182no—
563C22×C4—182no—
564C22×C4—182no—
565C22×C4—182no—
566C22×C4—181no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—61no—
570C22⋊C4—61no—
571C22⋊C4—61no—
572C22⋊C4—61no—
573C22⋊C4—181no—
574C22⋊C4—181no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—22no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—42no—
589C22×C3—42no—
590C22×C3—42no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—41no—
598C22×C3—41no—
599C22×C3—62no—
600C22×C3—81no—
601C22×C3—81no—
602C22×C3—81no—
603C22×C3—81no—
604C22×C3—122no—
605C22×C3—122no—
606C22×C3—122no—
607C22×C3D3×C22⋊C411yescharacteristic
608C22×C3D3×C22⋊C411yescharacteristic
609C22×C3D3×C22⋊C411yescharacteristic
610C22×C3D3×C22⋊C411yescharacteristic
611C22×C3#88211yescharacteristic
612C22×C3#88211yescharacteristic
613C22×C3#88211yescharacteristic
614C22×C3#88211yescharacteristic
615C22×C3C2×(C2×D3)⋊C411yescharacteristic
616C22×C3C2×(C2×D3)⋊C411yescharacteristic
617C22×C3#93711yescharacteristic
618C22×C3#93711yescharacteristic
619C22×C3#93711yescharacteristic
620C22×C3#93711yescharacteristic
621C2×D3—22no—
622C2×D3—42no—
623C2×D3—42no—
624C2×D3—42no—
625C2×D3—62no—
626C2×D3—62no—
627C2×D3—122no—
628C2×D3—122no—
629C2×D3—122no—
630C2×D3—122no—
631C2×D3—122no—
632C2×D3—122no—
633C2×D3—122no—
634C2×D3—242no—
635C2×D3—242no—
636C2×D3—242no—
637C3×C4—62no—
638C3×C4—62no—
639C3×C4—62no—
640C3×C4—81no—
641C3×C4—81no—
642C3×C4—82no—
643C3×C4—241no—
644C3×C4—241no—
645Dic3—22no—
646Dic3—22no—
647Dic3—22no—
648Dic3—62no—
649Dic3—62no—
650Dic3—81no—
651Dic3—81no—
652Dic3—122no—
653Dic3—241no—
654Dic3—241no—
655Dic3—242no—
656C32#178211yescharacteristic, complemented, Sylow
657C23—32no—
658C23—42no—
659C23—61no—
660C23—61no—
661C23—92no—
662C23—122no—
663C23—181no—
664C23—181no—
665C23—362no—
666C23C4×D3211yescharacteristic
667C23D3×D1211yescharacteristic
668C23D3×D1211yescharacteristic
669C23#380211yescharacteristic
670C23D3×#6711yescharacteristic
671C23D3×#6711yescharacteristic
672C23#381111yescharacteristic
673Q8—188no—
674D4—62no—
675D4—62no—
676D4—62no—
677D4—62no—
678D4—188no—
679D4—182no—
680D4—182no—
681D4—182no—
682D4—182no—
683C2×C4—32no—
684C2×C4—32no—
685C2×C4—32no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—62no—
695C2×C4—62no—
696C2×C4—62no—
697C2×C4—62no—
698C2×C4—92no—
699C2×C4—122no—
700C2×C4—122no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—188no—
704C2×C4—188no—
705C2×C4—181no—
706C2×C4—181no—
707C2×C4—362no—
708C2×C4—361no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—22no—
723C2×C3—41no—
724C2×C3—41no—
725C2×C3—41no—
726C2×C3—41no—
727C2×C3—41no—
728C2×C3—41no—
729C2×C3—122no—
730C2×C3#474012yes—
731C2×C3#495511yescharacteristic
732C2×C3#495511yescharacteristic
733C2×C3#500612yes—
734D3—42no—
735D3—122no—
736D3—122no—
737D3—242no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—62no—
746C22—122no—
747C22—122no—
748C22—122no—
749C22—182no—
750C22—362no—
751C22—362no—
752C22—362no—
753C22D3×(C2×D3)⋊C411yescharacteristic
754C22D3×(C2×D3)⋊C411yescharacteristic
755C22#6392111yescharacteristic
756C22#6392211yescharacteristic
757C22#6392211yescharacteristic
758C22#6392311yescharacteristic
759C22#6398311yescharacteristic
760C4—62no—
761C4—62no—
762C4—62no—
763C4—81no—
764C4—182no—
765C4—241no—
766C4—241no—
767C4—721no—
768C3—21no—
769C3#6953711yescharacteristic, complemented
770C3#7002711yescharacteristic, complemented
771C2—21no—
772C2—21no—
773C2—21no—
774C2—21no—
775C2—21no—
776C2—21no—
777C2—122no—
778C2—362no—
779C2#1059040512yes—
780C2#1059139911yescharacteristic
subgroupG/H
centerC22D3×(C2×D3)⋊C4
commutatorC23×C32C22×C4
FrattiniC24C2×D32
FittingC2×C32×C22⋊C4C22
socleC22×C32C2×C22⋊C4
prime radicalC22×#3804C2
cosocleC24×C32C23
hypercenterC2×C22⋊C4D32
hypocenterC32#1782
LCSG ▷ C23×C32 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C24 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#63633C2semidirect
3. C2×C3×#806C2semidirect
4. C3×#4943C2semidirect
5. C2×#63581C2semidirect
6. C2×#63580C2semidirect
7. #10591696C2semidirect
13. C22×#627C4semidirect
14. C22×#626C4semidirect
15. C22×#624C4semidirect
22. C22×D3×Dic3C4semidirect
45. C2×#806D3semidirect
47. #4943D3semidirect
656. C32#1782semidirect
769. C3#69537semidirect
770. C3#70027semidirect

Maximal subgroups

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

subgroupindex
C22×#38042
C2×#636332
C2×C3×#8062
C3×#49432
C2×#635812
C2×#635802
#105916962
#700273
#695373