Finite Group Databasebeta

← #25062626

Subgroups — #25062626

Order 11008.

984 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583496C211yesmaximal, characteristic
2#19143621C211yesmaximal, characteristic, complemented
3#19143617C211yesmaximal, characteristic, complemented
4#19132963C212yesmaximal, complemented
5#19132957C212yesmaximal, complemented
6#19132949C212yesmaximal, complemented
7#19132942C212yesmaximal, complemented
8#19132911C211yesmaximal, characteristic, complemented
9#19132911C211yesmaximal, characteristic, complemented
10C2×#14582625C211yesmaximal, characteristic, complemented
11C2×C43×#324C211yesmaximal, characteristic, complemented
12#14583496—22no—
13#14583496—22no—
14#14583496—22no—
15#14583496—22no—
16C2×#13063320C411yescharacteristic
17C2×#13063320C2211yescharacteristic
18C2×#13063315C411yescharacteristic
19C2×#13063315C2211yescharacteristic
20C2×#13063310C411yescharacteristic
21C2×#13063310C2211yescharacteristic
22C2×#13063308C411yescharacteristic
23C2×#13063308C411yescharacteristic
24C2×#13063304C411yescharacteristic
25C2×#13063303C411yescharacteristic
26C2×#13063303C2211yescharacteristic
27C2×#13063299C411yescharacteristic
28C2×C4×C22⋊D43C2211yescharacteristic
29C2×C4×C22⋊D43C2211yescharacteristic
30#14582970—22no—
31#14582967—22no—
32C8×C22⋊D43—22no—
33(C22⋊D43)⋊C8—22no—
34#14582953C2212yes—
35#14582949C2212yes—
36#14582861C2212yes—
37C2×C22⋊(C43⋊C8)C2211yescharacteristic
38C2×C22⋊(C43⋊C8)C2211yescharacteristic
39C22⋊C8×D43C2212yes—
40#14582625C2212yes—
41#14582625C2212yes—
42#14582624C2212yes—
43#14582624C2212yes—
44#14582622C2212yes—
45#14582622C2212yes—
46C22×C4⋊C4×C43C2211yescharacteristic
47C2×C22⋊C8×C43C2211yescharacteristic
48C2×C22⋊C8×C43C2211yescharacteristic
49C43×#324C2212yes—
50C43×#324C2212yes—
51C22×Dic86C2×C411yescharacteristic
52C22×D172C2×C411yescharacteristic
53C22×C22⋊D43C2×C411yescharacteristic
54C22×C22⋊D43C2×C411yescharacteristic
55C22×C4×D43C2×C411yescharacteristic
56C22×C4×D43C2311yescharacteristic
57C2×#10621872—22no—
58C22×C43⋊C8—21no—
59C22×C43⋊C8—21no—
60C2×C8×D43—22no—
61#13063320—22no—
62#13063320—22no—
63#13063320—22no—
64#13063320—22no—
65#13063315—22no—
66#13063315—22no—
67#13063315—22no—
68#13063315—22no—
69#13063310—22no—
70#13063310—22no—
71#13063310—22no—
72#13063310—22no—
73#13063308—22no—
74#13063308—22no—
75#13063308—22no—
76#13063308—22no—
77#13063304—22no—
78#13063304—22no—
79#13063303—22no—
80#13063303—22no—
81#13063303—22no—
82#13063303—22no—
83#13063299—22no—
84#13063299—22no—
85C4×C22⋊D43—21no—
86C4×C22⋊D43—21no—
87C4×C22⋊D43—21no—
88C4×C22⋊D43—21no—
89C4×C22⋊D43D412yes—
90C4×C22⋊D43D412yes—
91C4×C22⋊D43D412yes—
92C4×C22⋊D43D412yes—
93C2×C4⋊Dic43C2×C411yescharacteristic
94C2×C4⋊Dic43C2×C411yescharacteristic
95C2×Dic43⋊C4C2×C411yescharacteristic
96C2×Dic43⋊C4C2×C411yescharacteristic
97C2×Dic43⋊C4C2×C411yescharacteristic
98C2×Dic43⋊C4C2×C411yescharacteristic
99C2×Dic43⋊C4C2×C411yescharacteristic
100C2×Dic43⋊C4C2×C411yescharacteristic
101C2×Dic43⋊C4C2×C411yescharacteristic
102C2×Dic43⋊C4C2311yescharacteristic
103C2×C22⋊Dic43C2×C411yescharacteristic
104C2×C22⋊Dic43C2×C411yescharacteristic
105C2×(C2×D43)⋊C4C2×C411yescharacteristic
106C2×(C2×D43)⋊C4C2×C411yescharacteristic
107C2×(C2×D43)⋊C4C2×C411yescharacteristic
108C2×(C2×D43)⋊C4C2×C411yescharacteristic
109C2×(C2×D43)⋊C4C2×C411yescharacteristic
110C2×(C2×D43)⋊C4C2×C411yescharacteristic
111C2×(C2×D43)⋊C4C2×C411yescharacteristic
112C2×(C2×D43)⋊C4C2311yescharacteristic
113C2×C4×Dic43C2×C411yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115Dic43⋊C8—22no—
116Dic43⋊C8—22no—
117C22⋊(C43⋊C8)—21no—
118C22⋊(C43⋊C8)—21no—
119C22⋊(C43⋊C8)C2312yes—
120C22⋊(C43⋊C8)C2312yes—
121(C2×D43)⋊C8—22no—
122(C2×D43)⋊C8—22no—
123#13063235—22no—
124C8×Dic43—22no—
125C23×C4×C43C2×C411yescharacteristic
126C23×C4×C43C2×C411yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C22×C8×C43—21no—
129C22×C8×C43—21no—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43C2×C411yescharacteristic
135C2×C4⋊C4×C43C2×C411yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C4⋊C4×C43C2311yescharacteristic
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140C22⋊C8×C43C2312yes—
141C22⋊C8×C43C2312yes—
142C24×C43C22×C411yescharacteristic
143C23×D43C22×C411yescharacteristic
144C23×D43C22×C411yescharacteristic
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—81no—
152C22×C4×C43—81no—
153C22×C4×C43C22×C411yescharacteristic
154C22×C4×C43C22×C411yescharacteristic
155C22×C4×C43C22×C411yescharacteristic
156C22×C4×C43C22×C411yescharacteristic
157C22×C4×C43C22×C411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2411yescharacteristic
163C2×C22⋊D43—21no—
164C2×C22⋊D43—21no—
165C2×C22⋊D43—22no—
166C2×C22⋊D43—22no—
167C2×C22⋊D43—22no—
168C2×C22⋊D43—22no—
169C2×C22⋊D43C22⋊C412yes—
170C2×C22⋊D43C22⋊C412yes—
171C22×Dic43C22×C411yescharacteristic
172C22×Dic43C22×C411yescharacteristic
173C22×Dic43C22×C411yescharacteristic
174C22×Dic43C22×C411yescharacteristic
175C22×Dic43C22×C411yescharacteristic
176C22×Dic43C22×C411yescharacteristic
177C2×D172—22no—
178C2×D172—81no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×C4×D43—81no—
182C2×C4×D43—81no—
183C2×C4×D43C2×D412yes—
184C2×C4×D43C2×D412yes—
185C2×Dic86—22no—
186C2×Dic86—81no—
187C2×C8×C43—22no—
188C2×C8×C43—22no—
189C2×C8×C43—81no—
190C2×C8×C43—81no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C22⋊Dic43—21no—
200C22⋊Dic43—21no—
201C22⋊Dic43C22⋊C412yes—
202C22⋊Dic43C22⋊C412yes—
203(C2×D43)⋊C4—21no—
204(C2×D43)⋊C4—21no—
205(C2×D43)⋊C4—22no—
206(C2×D43)⋊C4—22no—
207(C2×D43)⋊C4—22no—
208(C2×D43)⋊C4—22no—
209(C2×D43)⋊C4—22no—
210(C2×D43)⋊C4—22no—
211(C2×D43)⋊C4C22⋊C412yes—
212(C2×D43)⋊C4C22⋊C412yes—
213C4⋊Dic43—22no—
214C4⋊Dic43—22no—
215Dic43⋊C4—21no—
216Dic43⋊C4—21no—
217Dic43⋊C4—22no—
218Dic43⋊C4—22no—
219Dic43⋊C4—22no—
220Dic43⋊C4—22no—
221Dic43⋊C4—22no—
222Dic43⋊C4—22no—
223Dic43⋊C4C22⋊C412yes—
224Dic43⋊C4C22⋊C412yes—
225C4×Dic43—21no—
226C4×Dic43—21no—
227C4×Dic43C2×D412yes—
228C4×Dic43C2×D412yes—
229C2×C43⋊C8—22no—
230C2×C43⋊C8—22no—
231C2×C43⋊C8—81no—
232C2×C43⋊C8—81no—
233#10621872—82no—
234C8×D43—82no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C2×C22⋊C411yescharacteristic
238C23×C43C2×C22⋊C411yescharacteristic
239C23×C43#13112yes—
240C23×C43#13112yes—
241C23×C43C23×C411yescharacteristic
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43C2×C22⋊C412yes—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—42no—
267C2×C4×C43—42no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—81no—
271C2×C4×C43—81no—
272C2×C4×C43C2×C22⋊C411yescharacteristic
273C2×C4×C43C2×C22⋊C411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C22×D411yescharacteristic
276C22⋊D43—24no—
277C22⋊D43—24no—
278C22⋊D43—42no—
279C22⋊D43—42no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43C2×C22⋊C412yes—
292C2×Dic43C2×C22⋊C412yes—
293C2×Dic43C2×C22⋊C412yes—
294D172—82no—
295C4×D43—42no—
296C4×D43—42no—
297C4×D43—81no—
298C4×D43—81no—
299Dic86—82no—
300C8×C43—42no—
301C8×C43—42no—
302C43⋊C8—42no—
303C43⋊C8—42no—
304#17387—431nomaximal, Sylow
305C22×C43—21no—
306C22×C43—21no—
307C22×C43—21no—
308C22×C43—21no—
309C22×C43—21no—
310C22×C43—21no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43#40812yes—
314C22×C43#40812yes—
315C22×C43C22×C22⋊C411yescharacteristic
316C22×C43C2×#13111yescharacteristic
317C22×C43C2×#13111yescharacteristic
318C2×D43—22no—
319C2×D43—22no—
320C2×D43—22no—
321C2×D43—41no—
322C2×D43—41no—
323C2×D43—41no—
324C2×D43—81no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C4×C43—21no—
329C4×C43—21no—
330C4×C43—21no—
331C4×C43—21no—
332C4×C43—41no—
333C4×C43—41no—
334C4×C43—41no—
335C4×C43—41no—
336Dic43—22no—
337Dic43—22no—
338Dic43—22no—
339Dic43—41no—
340Dic43—41no—
341Dic43—41no—
342C2×#539—431no—
343#2973—431no—
344#2972—431no—
345#1473—432no—
346#1472—432no—
347#1470—432no—
348#1468—432no—
349#1459—431no—
350#1459—431no—
351C2×#324—431no—
352C2×#324D4311yescharacteristic, complemented
353C2×C43—21no—
354C2×C43—21no—
355C2×C43—22no—
356C2×C43—22no—
357C2×C43C2×#40811yescharacteristic
358C2×C43#288311yescharacteristic
359C2×C43#288911yescharacteristic
360D43—42no—
361D43—81no—
362#539—862no—
363#539—862no—
364#539—862no—
365#539—862no—
366C2×#126—431no—
367C2×#126—431no—
368C2×#125—431no—
369C2×#125—431no—
370C2×#123—431no—
371C2×#123—431no—
372C2×#123—431no—
373C2×#123—431no—
374C2×C22⋊Q8—431no—
375C2×C22⋊Q8—431no—
376C2×C22⋊Q8—431no—
377C2×#121—431no—
378C2×C4×D4—431no—
379C2×C4×D4—431no—
380C22×C4⋊C4C2×D4311yescharacteristic
381#435—862no—
382#435—862no—
383C8×D4—862no—
384C8×D4—862no—
385#432—432no—
386#431—432no—
387#407—432no—
388C2×C22⋊C8—431no—
389C2×C22⋊C8—431no—
390C2×C22⋊C8—432no—
391C2×C22⋊C8C2×D4311yescharacteristic
392C2×C22⋊C8C2×D4311yescharacteristic
393#324—432no—
394#324—432no—
395#324—432no—
396#324—432no—
397#324C2×D4312yes—
398#324C2×D4312yes—
399#323—432no—
400#323—432no—
401C43#1738711yescharacteristic, complemented, Sylow
402C22×Q8—431no—
403C22×D4—431no—
404C22×D4—431no—
405C22×D4—431no—
406C23×C4—431no—
407C23×C4—431no—
408C23×C4C4×D4311yescharacteristic
409C23×C4C4×D4311yescharacteristic
410C23×C4C22×D4311yescharacteristic
411C2×M16—862no—
412C22×C8—21no—
413C22×C8—21no—
414C22×C8—862no—
415C22×C8—861no—
416C22×C8—861no—
417#126—862no—
418#126—862no—
419#126—862no—
420#126—862no—
421#125—862no—
422#125—862no—
423#125—862no—
424#125—862no—
425#123—862no—
426#123—862no—
427#123—862no—
428#123—862no—
429#123—862no—
430#123—862no—
431#123—862no—
432#123—862no—
433C22⋊Q8—862no—
434C22⋊Q8—862no—
435C22⋊Q8—862no—
436C22⋊Q8—862no—
437C22⋊Q8—862no—
438C22⋊Q8—862no—
439#121—862no—
440#121—862no—
441C4×D4—432no—
442C4×D4—432no—
443C4×D4—432no—
444C4×D4—432no—
445C4×D4—861no—
446C4×D4—861no—
447C4×D4—861no—
448C4×D4—861no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4C4×D4311yescharacteristic
464C2×C4⋊C4C4×D4311yescharacteristic
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C22⋊C4—431no—
468C2×C22⋊C4—431no—
469C2×C22⋊C4—431no—
470C2×C22⋊C4—431no—
471C2×C22⋊C4—431no—
472C2×C22⋊C4—431no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—431no—
476C2×C22⋊C4—431no—
477C2×C42—431no—
478C2×C42—431no—
479C4⋊C8—862no—
480C4⋊C8—862no—
481C22⋊C8—21no—
482C22⋊C8—21no—
483C22⋊C8—432no—
484C22⋊C8—432no—
485C22⋊C8—862no—
486C22⋊C8—862no—
487C22⋊C8—861no—
488C22⋊C8—861no—
489C22⋊C8C22×D4312yes—
490C22⋊C8C22×D4312yes—
491#97—862no—
492C4×C8—862no—
493C24—431no—
494C24—431no—
495C24C2×C4×D4311yescharacteristic
496C2×Q8—862no—
497C2×Q8—3441no—
498C2×D4—432no—
499C2×D4—432no—
500C2×D4—862no—
501C2×D4—862no—
502C2×D4—862no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—862no—
506C2×D4—862no—
507C2×D4—3441no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—432no—
520C22×C4—432no—
521C22×C4—431no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—3441no—
527C22×C4—3441no—
528C22×C4C2×C4×D4311yescharacteristic
529C22×C4C2×C4×D4311yescharacteristic
530C22×C4C2×C4×D4311yescharacteristic
531C22×C4C2×C4×D4311yescharacteristic
532C22×C4C2×C4×D4311yescharacteristic
533C22×C4D4×D4311yescharacteristic
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4D4×D4311yescharacteristic
537C22×C4C23×D4311yescharacteristic
538M16—3442no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—81no—
542C2×C8—81no—
543C2×C8—862no—
544C2×C8—862no—
545C2×C8—3442no—
546C2×C8—3441no—
547C2×C8—3441no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—432no—
557C4⋊C4—432no—
558C4⋊C4—862no—
559C4⋊C4—862no—
560C4⋊C4—862no—
561C4⋊C4—862no—
562C4⋊C4—862no—
563C4⋊C4—862no—
564C4⋊C4—862no—
565C4⋊C4—862no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C22⋊C4—432no—
569C22⋊C4—432no—
570C22⋊C4—432no—
571C22⋊C4—432no—
572C22⋊C4—862no—
573C22⋊C4—862no—
574C22⋊C4—862no—
575C22⋊C4—862no—
576C22⋊C4—862no—
577C22⋊C4—862no—
578C22⋊C4—861no—
579C22⋊C4—861no—
580C22⋊C4—861no—
581C22⋊C4—861no—
582C42—432no—
583C42—432no—
584C42—861no—
585C42—861no—
586C23—41no—
587C23—41no—
588C23—432no—
589C23—861no—
590C23—861no—
591C23—861no—
592C23—861no—
593C23—861no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C22⋊C4×D4311yescharacteristic
599C23C22⋊C4×D4311yescharacteristic
600C23#1306333112yes—
601C23#1306333312yes—
602C23C22×C4×D4311yescharacteristic
603Q8—3442no—
604D4—864no—
605D4—864no—
606D4—3442no—
607D4—1722no—
608D4—1722no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—432no—
630C2×C4—432no—
631C2×C4—432no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—3441no—
640C2×C4—3441no—
641C2×C4—1722no—
642C2×C4—1722no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4C22⋊C4×D4311yescharacteristic
648C2×C4C22⋊C4×D4311yescharacteristic
649C2×C4C2×D4×D4311yescharacteristic
650C2×C4C2×D4×D4311yescharacteristic
651C8—42no—
652C8—42no—
653C8—1722no—
654C8—1722no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—42no—
662C22—42no—
663C22—862no—
664C22—862no—
665C22—862no—
666C22—3441no—
667C22—3441no—
668C22—3441no—
669C22—3441no—
670C22—1721no—
671C22—1721no—
672C22—1721no—
673C22#1458286412yes—
674C22#1458286412yes—
675C22C2×C22⋊C4×D4311yescharacteristic
676C22C2×#1306333111yescharacteristic
677C22C2×#1306333311yescharacteristic
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—41no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—862no—
687C4—862no—
688C4—862no—
689C4—1721no—
690C4—1721no—
691C4—1721no—
692C2—21no—
693C2—21no—
694C2—22no—
695C2—22no—
696C2—3441no—
697C2—1722no—
698C2C2×#1458286411yescharacteristic
699C2#1914305311yescharacteristic
700C2#1914307511yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#324C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#13063299C4
cosocleC22×C4×C43C24
hypercenterC2×#324D43
hypocenterC43#17387
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#324

Complements

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

NH ≅ G/Ntype
2. #19143621C2semidirect
3. #19143617C2semidirect
4. #19132963C2semidirect
5. #19132957C2semidirect
6. #19132949C2semidirect
7. #19132942C2semidirect
8. #19132911C2semidirect
9. #19132911C2semidirect
10. C2×#14582625C2semidirect
11. C2×C43×#324C2semidirect
352. C2×#324D43semidirect
401. C43#17387semidirect

Maximal subgroups

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

subgroupindex
C2×#145834962
#191436212
#191436172
#191329632
#191329572
#191329492
#191329422
#191329112
C2×#145826252
C2×C43×#3242
#1738743