Finite Group Databasebeta

← C2×#19147124 #25975223

Subgroups — C2×#19147124 #25975223

Order 11008.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583623C211yesmaximal, characteristic
2C2×#14583587C211yesmaximal, characteristic
3#19147124C2116yesmaximal, direct product factor
4C2×#14583236C211yesmaximal, characteristic, complemented
5C2×#14583243C211yesmaximal, characteristic, complemented
6C2×#14583243C211yesmaximal, characteristic, complemented
7C2×#14583242C211yesmaximal, characteristic, complemented
8C2×#14583203C211yesmaximal, characteristic, complemented
9C2×#14583191C211yesmaximal, characteristic, complemented
10C2×#14583158C211yesmaximal, characteristic, complemented
11C2×#14583141C211yesmaximal, characteristic, complemented
12C2×#14583007C211yesmaximal, characteristic, complemented
13C2×#14582972C211yesmaximal, characteristic
14C2×#14582940C211yesmaximal, characteristic, complemented
15C2×#14582934C211yesmaximal, characteristic, complemented
16C2×C43×#501C211yesmaximal, characteristic, complemented
17C22×Dic172C2211yescharacteristic
18C22×#10621872C2211yescharacteristic
19C22×C8×D43C2211yescharacteristic
20#14583623—24no—
21#14583623C2218yes—
22#14583587—24no—
23#14583587C2218yes—
24C2×#13063320—21no—
25C2×#13063320—21no—
26C2×#13063320—21no—
27C2×#13063316—21no—
28C2×#13063314—21no—
29C2×#13063310—21no—
30C2×#13063305C2211yescharacteristic
31C2×#13063305C2211yescharacteristic
32C2×#13063305C2211yescharacteristic
33C2×#13063305C2211yescharacteristic
34C2×Q8×Dic43—21no—
35C2×C4×Dic86C2211yescharacteristic
36C2×C4×Dic86C2211yescharacteristic
37C2×C4×D172C2211yescharacteristic
38C2×#13063283—21no—
39C2×#13063283C2211yescharacteristic
40C2×#13063283C2211yescharacteristic
41C2×#13063283C2211yescharacteristic
42C2×C4⋊C4×D43C2211yescharacteristic
43#14583243C2218yescomplemented
44#14583243C2218yescomplemented
45#14583242C2218yescomplemented
46#14583236C2218yescomplemented
47#14583203C2218yescomplemented
48#14583191C2218yescomplemented
49#14583158C2218yescomplemented
50#14583141C2218yescomplemented
51#14583007C2218yescomplemented
52#14582972C2218yes—
53#14582940C2218yescomplemented
54#14582934C2218yescomplemented
55C2×#13063258C2211yescharacteristic
56C2×#13063258C2211yescharacteristic
57C2×#13063258C2211yescharacteristic
58C2×#13063257C2211yescharacteristic
59C2×#13063256C2211yescharacteristic
60C2×C4⋊(C43⋊C8)C2211yescharacteristic
61C2×#13063250C2211yescharacteristic
62C2×#13063250C2211yescharacteristic
63C2×#13063248C2211yescharacteristic
64C2×#13063248C2211yescharacteristic
65C2×#13063248C2211yescharacteristic
66C2×#13063248C2211yescharacteristic
67C2×(C2×D43)⋊C8C2211yescharacteristic
68C2×(C2×D43)⋊C8C2211yescharacteristic
69C2×C4⋊Q8×C43C2211yescharacteristic
70C2×#125×C43C2211yescharacteristic
71C43×#501C2218yescomplemented
72C2×#107×C43C2211yescharacteristic
73C2×#107×C43C2211yescharacteristic
74C2×#106×C43C2211yescharacteristic
75C2×#106×C43C2211yescharacteristic
76C2×#97×C43C2211yescharacteristic
77C22×Dic86C2311yescharacteristic
78C22×Dic86C2311yescharacteristic
79C22×D172D411yescharacteristic
80C22×C4×D43—21no—
81C22×C4×D43C2311yescharacteristic
82C22×C4×D43C2311yescharacteristic
83C2×Dic172—24no—
84C2×Dic172C2314yes—
85C2×#10621872—24no—
86C2×#10621872C2314yes—
87C22×C43⋊C8C2311yescharacteristic
88C22×C43⋊C8C2311yescharacteristic
89C2×C8×D43—24no—
90C2×C8×D43C2314yes—
91#13063320—28no—
92#13063320—28no—
93#13063320—28no—
94#13063316—28no—
95#13063314—28no—
96#13063310—28no—
97#13063305—22no—
98#13063305—22no—
99#13063305—22no—
100#13063305—22no—
101#13063305C2314yes—
102#13063305C2314yes—
103#13063305C2314yes—
104#13063305C2314yes—
105Q8×Dic43—28no—
106C4×Dic86—22no—
107C4×Dic86—22no—
108C4×Dic86C2314yes—
109C4×Dic86C2314yes—
110C4×D172D414yes—
111C4×D172C2314yes—
112#13063283—22no—
113#13063283—22no—
114#13063283—22no—
115#13063283—28no—
116#13063283C2314yes—
117#13063283C2314yes—
118#13063283C2314yes—
119C2×C4⋊Dic43—21no—
120C2×C4⋊Dic43—21no—
121C2×C4⋊Dic43—21no—
122C2×C4⋊Dic43—21no—
123C2×C4⋊Dic43D411yescharacteristic
124C2×C4⋊Dic43C2311yescharacteristic
125C2×C4⋊Dic43C2311yescharacteristic
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C4⋊C4×D43—22no—
130C4⋊C4×D43C2314yes—
131C2×(C2×D43)⋊C4—21no—
132C2×(C2×D43)⋊C4—21no—
133C2×(C2×D43)⋊C4—21no—
134C2×(C2×D43)⋊C4—21no—
135C2×(C2×D43)⋊C4—21no—
136C2×(C2×D43)⋊C4—21no—
137C2×(C2×D43)⋊C4—21no—
138C2×(C2×D43)⋊C4D411yescharacteristic
139C2×(C2×D43)⋊C4D411yescharacteristic
140C2×C4×Dic43—21no—
141C2×C4×Dic43—21no—
142C2×C4×Dic43—21no—
143C2×C4×Dic43—21no—
144C2×C4×Dic43—21no—
145#13063258C2314yes—
146#13063258C2314yes—
147#13063258C2314yes—
148#13063257C2314yes—
149#13063256C2314yes—
150C4⋊(C43⋊C8)C2314yes—
151#13063250C2314yes—
152#13063250C2314yes—
153#13063248C2314yes—
154#13063248C2314yes—
155#13063248C2314yes—
156#13063248C2314yes—
157(C2×D43)⋊C8C2314yes—
158(C2×D43)⋊C8C2314yes—
159C22×Q8×C43—21no—
160C22×C8×C43C2311yescharacteristic
161C22×C8×C43C2311yescharacteristic
162C4⋊Q8×C43—22no—
163C4⋊Q8×C43C2314yes—
164#125×C43—22no—
165#125×C43C2314yes—
166C2×C4⋊C4×C43—21no—
167C2×C4⋊C4×C43—21no—
168C2×C4⋊C4×C43—21no—
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C4⋊C4×C43C2311yescharacteristic
171C2×C4⋊C4×C43C2311yescharacteristic
172C2×C4⋊C4×C43C2311yescharacteristic
173C2×C42×C43C2311yescharacteristic
174#107×C43C2314yes—
175#107×C43C2314yes—
176#106×C43C2314yes—
177#106×C43C2314yes—
178#97×C43C2314yes—
179C23×D43C2×D411yescharacteristic
180C23×D43C2×D411yescharacteristic
181C2×Q8×C43—24no—
182C2×Q8×C43—44no—
183C22×C4×C43—21no—
184C22×C4×C43—21no—
185C22×C4×C43—21no—
186C22×C4×C43—21no—
187C22×C4×C43C2×D411yescharacteristic
188C22×C4×C43C2×D411yescharacteristic
189C22×C4×C43C2411yescharacteristic
190C22×Dic43—21no—
191C22×Dic43—21no—
192C22×Dic43—21no—
193C22×Dic43—21no—
194C22×Dic43C2×D411yescharacteristic
195C22×Dic43C2×D411yescharacteristic
196C2×D172—42no—
197C2×D172C2×D414yes—
198C2×C4×D43—22no—
199C2×C4×D43—22no—
200C2×C4×D43—22no—
201C2×C4×D43—22no—
202C2×C4×D43—24no—
203C2×C4×D43—44no—
204C2×C4×D43C2×D412yes—
205C2×C4×D43C2×D412yes—
206C2×C4×D43C2412yes—
207C2×C4×D43C2412yes—
208C2×Dic86—22no—
209C2×Dic86—22no—
210C2×Dic86—22no—
211C2×Dic86—22no—
212C2×Dic86—21no—
213C2×Dic86—21no—
214C2×Dic86C2412yes—
215C2×Dic86C2412yes—
216C2×C8×C43—22no—
217C2×C8×C43#4114yes—
218C2×C8×C43C2412yes—
219C2×C8×C43C2412yes—
220C4⋊C4×C43—24no—
221C4⋊C4×C43—24no—
222C4⋊C4×C43—24no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43C2412yes—
228C4⋊C4×C43C2412yes—
229C4⋊C4×C43C2412yes—
230C4⋊C4×C43C2412yes—
231C42×C43C2×D412yes—
232C42×C43C2412yes—
233(C2×D43)⋊C4—24no—
234(C2×D43)⋊C4—24no—
235(C2×D43)⋊C4—24no—
236(C2×D43)⋊C4—24no—
237(C2×D43)⋊C4—24no—
238(C2×D43)⋊C4—24no—
239(C2×D43)⋊C4—24no—
240(C2×D43)⋊C4C2×D414yes—
241(C2×D43)⋊C4C2×D414yes—
242C4⋊Dic43—21no—
243C4⋊Dic43—21no—
244C4⋊Dic43—24no—
245C4⋊Dic43—24no—
246C4⋊Dic43—24no—
247C4⋊Dic43—24no—
248C4⋊Dic43C2×D414yes—
249C4⋊Dic43C2412yes—
250C4⋊Dic43C2412yes—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4—24no—
254C4×Dic43—24no—
255C4×Dic43—24no—
256C4×Dic43—24no—
257C4×Dic43—24no—
258C4×Dic43—24no—
259C2×C43⋊C8—22no—
260C2×C43⋊C8—22no—
261C2×C43⋊C8C2412yes—
262C2×C43⋊C8C2412yes—
263Dic172—28no—
264#10621872—28no—
265C8×D43—28no—
266C23×C43C22×D411yescharacteristic
267C22×D43—22no—
268C22×D43—22no—
269C22×D43—22no—
270C22×D43—22no—
271C22×D43—22no—
272C22×D43—22no—
273C22×D43C22×D412yes—
274C22×D43C22×D412yes—
275Q8×C43—48no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—22no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43—42no—
285C2×C4×C43—42no—
286C2×C4×C43C22×D412yes—
287C2×C4×C43C22×D412yes—
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C2×#4112yes—
290C2×C4×C432−1+412yes—
291C2×C4×C43C2511yescharacteristic
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43C22×D412yes—
303C2×Dic43C22×D412yes—
304D172—44no—
305C4×D43—24no—
306C4×D43—24no—
307C4×D43—22no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—22no—
311C4×D43—48no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—22no—
316Dic86—42no—
317Dic86—42no—
318C8×C43—22no—
319C8×C43C2×#4114yes—
320C43⋊C8—22no—
321C43⋊C8—22no—
322C2×#3349—431nomaximal, Sylow
323C22×C43#54712yes—
324C22×C43#57512yes—
325C22×C43#57812yes—
326C22×C43C23×D411yescharacteristic
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—44no—
334C2×D43—44no—
335C4×C43—22no—
336C4×C43—22no—
337C4×C43—42no—
338C4×C43—42no—
339C4×C43—42no—
340C4×C43—42no—
341C4×C43#54712yes—
342C4×C43C22×#4111yescharacteristic
343C4×C43C2×2−1+411yescharacteristic
344Dic43—22no—
345Dic43—22no—
346Dic43—42no—
347Dic43—42no—
348Dic43—42no—
349Dic43—42no—
350C2×#556—431no—
351C2×#552—431no—
352#3349—4316no—
353C2×#501D4311yescharacteristic, complemented
354C2×#484—431no—
355C2×#485—431no—
356C2×#485—431no—
357C2×#485—431no—
358C2×#479—431no—
359C2×#477—431no—
360C2×#470—431no—
361C2×#467—431no—
362C2×#441—431no—
363C2×#435—431no—
364C2×#428—431no—
365C2×#427—431no—
366C2×C43#334914yescomplemented
367C2×C43C2×#54711yescharacteristic
368C2×C43C2×#57511yescharacteristic
369C2×C43C2×#57811yescharacteristic
370D43—42no—
371D43—42no—
372C22×Q16—431no—
373C22×M16—431no—
374C23×C8—431no—
375#556—438no—
376#556—864no—
377#552—438no—
378#552—864no—
379C2×C4⋊Q8C2×D4311yescharacteristic
380C2×#126—861no—
381C2×#126—861no—
382C2×#126—861no—
383C2×#125—861no—
384C2×#125C2×D4311yescharacteristic
385C2×#124—861no—
386C2×#123—861no—
387C2×C22⋊Q8—431no—
388C2×C22⋊Q8—431no—
389C2×C22⋊Q8—431no—
390C2×C22⋊Q8—431no—
391C2×C4×Q8—431no—
392C2×C4×Q8—431no—
393C2×C4×Q8—861no—
394C2×C4×D4—431no—
395C2×#117—431no—
396C2×#117—431no—
397C2×#117—431no—
398C2×#117—861no—
399C22×C4⋊C4—431no—
400#501C2×D4318yescomplemented
401#485—438no—
402#485—438no—
403#485—438no—
404#484—438no—
405#479—438no—
406#477—438no—
407#470—438no—
408#467—438no—
409#441—438no—
410#435—438no—
411#428—438no—
412#427—438no—
413C2×#107—431no—
414C2×#107—431no—
415C2×#107—431no—
416C2×#107C2×D4311yescharacteristic
417C2×#107C2×D4311yescharacteristic
418C2×#106—431no—
419C2×#106—431no—
420C2×#106C2×D4311yescharacteristic
421C2×#106C2×D4311yescharacteristic
422C2×C4⋊C8—431no—
423C2×#103—431no—
424C2×#103—431no—
425C2×#103—431no—
426C2×#103—431no—
427C2×#103—431no—
428C2×#103—431no—
429C2×C22⋊C8—431no—
430C2×C22⋊C8—431no—
431C2×#97C2×D4311yescharacteristic
432C43C2×#334911yescharacteristic, complemented, Sylow
433C22×Q8—21no—
434C22×Q8—431no—
435C22×Q8—431no—
436C22×D4—431no—
437C23×C4—431no—
438C23×C4—431no—
439C23×C4—861no—
440C2×Q16—434no—
441C2×Q16—864no—
442C2×M16—434no—
443C2×M16—864no—
444C22×C8—431no—
445C22×C8—431no—
446C22×C8—434no—
447C22×C8—864no—
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450C4⋊Q8—22no—
451C4⋊Q8C22×D4314yes—
452#126—868no—
453#126—868no—
454#126—868no—
455#125—22no—
456#125—868no—
457#125C22×D4314yes—
458#124—868no—
459#123—868no—
460C22⋊Q8—434no—
461C22⋊Q8—434no—
462C22⋊Q8—434no—
463C22⋊Q8—434no—
464C22⋊Q8—862no—
465C22⋊Q8—862no—
466C22⋊Q8—862no—
467C22⋊Q8—862no—
468C4×Q8—434no—
469C4×Q8—434no—
470C4×Q8—868no—
471C4×Q8—862no—
472C4×Q8—862no—
473C4×D4—434no—
474C4×D4—434no—
475#117—434no—
476#117—434no—
477#117—434no—
478#117—868no—
479#117—862no—
480#117—862no—
481#117—862no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—431no—
486C2×C4⋊C4—431no—
487C2×C4⋊C4—431no—
488C2×C4⋊C4—434no—
489C2×C4⋊C4—862no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4—861no—
493C2×C4⋊C4—861no—
494C2×C4⋊C4—861no—
495C2×C4⋊C4—861no—
496C2×C4⋊C4—861no—
497C2×C4⋊C4C22×D4311yescharacteristic
498C2×C4⋊C4C22×D4311yescharacteristic
499C2×C4⋊C4C22×D4311yescharacteristic
500C2×C4⋊C4C22×D4311yescharacteristic
501C2×C22⋊C4—431no—
502C2×C22⋊C4—431no—
503C2×C22⋊C4—861no—
504C2×C22⋊C4—861no—
505C2×C22⋊C4—861no—
506C2×C22⋊C4—861no—
507C2×C22⋊C4—861no—
508C2×C22⋊C4—861no—
509C2×C22⋊C4—861no—
510C2×C42—861no—
511C2×C42—861no—
512C2×C42—861no—
513C2×C42—861no—
514C2×C42—861no—
515C2×C42C22×D4311yescharacteristic
516#107—434no—
517#107—434no—
518#107—434no—
519#107C22×D4314yes—
520#107C22×D4314yes—
521#106—434no—
522#106—434no—
523#106C22×D4314yes—
524#106C22×D4314yes—
525C4⋊C8—434no—
526#103—434no—
527#103—434no—
528#103—434no—
529#103—434no—
530#103—434no—
531#103—434no—
532C22⋊C8—434no—
533C22⋊C8—434no—
534#97C22×D4314yes—
535C24—431no—
536C24—431no—
537C2×Q8—24no—
538C2×Q8—44no—
539C2×Q8—432no—
540C2×Q8—432no—
541C2×Q8—861no—
542C2×Q8—861no—
543C2×Q8—862no—
544C2×Q8—862no—
545C2×Q8—862no—
546C2×Q8—862no—
547C2×D4—434no—
548C2×D4—1722no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—431no—
554C22×C4—431no—
555C22×C4—432no—
556C22×C4—432no—
557C22×C4—432no—
558C22×C4—432no—
559C22×C4—864no—
560C22×C4—862no—
561C22×C4—862no—
562C22×C4—862no—
563C22×C4—862no—
564C22×C4—861no—
565C22×C4—861no—
566C22×C4—861no—
567C22×C4—861no—
568C22×C4—1724no—
569C22×C4D4×D4311yescharacteristic
570C22×C4D4×D4311yescharacteristic
571C22×C4C23×D4311yescharacteristic
572Q16—868no—
573M16—868no—
574C2×C8—22no—
575C2×C8—432no—
576C2×C8—432no—
577C2×C8—862no—
578C2×C8—862no—
579C2×C8—868no—
580C2×C8#1062190214yes—
581C2×C8C23×D4312yes—
582C2×C8C23×D4312yes—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—434no—
591C4⋊C4—432no—
592C4⋊C4—432no—
593C4⋊C4—864no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4—864no—
597C4⋊C4—864no—
598C4⋊C4—861no—
599C4⋊C4—861no—
600C4⋊C4—864no—
601C4⋊C4—864no—
602C4⋊C4C23×D4312yes—
603C4⋊C4C23×D4312yes—
604C4⋊C4C23×D4312yes—
605C4⋊C4C23×D4312yes—
606C22⋊C4—434no—
607C22⋊C4—434no—
608C22⋊C4—864no—
609C22⋊C4—864no—
610C22⋊C4—864no—
611C22⋊C4—864no—
612C22⋊C4—864no—
613C22⋊C4—864no—
614C22⋊C4—864no—
615C42—864no—
616C42—864no—
617C42—864no—
618C42—864no—
619C42—864no—
620C42D4×D4312yes—
621C42C23×D4312yes—
622C23—432no—
623C23—432no—
624C23—862no—
625C23—862no—
626C23—862no—
627C23—862no—
628C23—862no—
629C23—862no—
630C23C2×D4×D4311yescharacteristic
631Q8—48no—
632Q8—862no—
633Q8—862no—
634Q8—862no—
635Q8—862no—
636Q8—1722no—
637Q8—1722no—
638D4—1724no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—432no—
650C2×C4—432no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—864no—
654C2×C4—864no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—1728no—
664C2×C4—1722no—
665C2×C4—1722no—
666C2×C4—1722no—
667C2×C4—1722no—
668C2×C4C2×D4×D4312yes—
669C2×C4C2×D4×D4312yes—
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4C2×#1062190212yes—
672C2×C4#1306337312yes—
673C2×C4C24×D4311yescharacteristic
674C8—22no—
675C8—862no—
676C8—862no—
677C8C2×#1062190214yes—
678C22—862no—
679C22—862no—
680C22—862no—
681C22—862no—
682C22—862no—
683C22—862no—
684C22—1724no—
685C22—1724no—
686C22#1458355212yes—
687C22#1458369512yes—
688C22#1458371512yes—
689C22C22×D4×D4311yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—862no—
697C4—862no—
698C4—1722no—
699C4—1722no—
700C4—1722no—
701C4—1722no—
702C4#1458355212yes—
703C4C22×#1062190211yescharacteristic
704C4C2×#1306337311yescharacteristic
705C2—1722no—
706C2—1722no—
707C2#1914712414yesdirect product factor
708C2C2×#1458355211yescharacteristic
709C2C2×#1458369511yescharacteristic
710C2C2×#1458371511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#501C2
socleC23×C43C22×D4
prime radicalC22×D172D4
hypercenterC2×#501D43
hypocenterC43C2×#3349
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #19147124C2direct (N × H)
4. C2×#14583236C2semidirect
5. C2×#14583243C2semidirect
6. C2×#14583243C2semidirect
7. C2×#14583242C2semidirect
8. C2×#14583203C2semidirect
9. C2×#14583191C2semidirect
10. C2×#14583158C2semidirect
11. C2×#14583141C2semidirect
12. C2×#14583007C2semidirect
14. C2×#14582940C2semidirect
15. C2×#14582934C2semidirect
16. C2×C43×#501C2semidirect
43. #14583243C22semidirect
44. #14583243C22semidirect
45. #14583242C22semidirect
46. #14583236C22semidirect
47. #14583203C22semidirect
48. #14583191C22semidirect
49. #14583158C22semidirect
50. #14583141C22semidirect
51. #14583007C22semidirect
53. #14582940C22semidirect
54. #14582934C22semidirect
71. C43×#501C22semidirect
353. C2×#501D43semidirect
366. C2×C43#3349semidirect
400. #501C2×D43semidirect
432. C43C2×#3349semidirect
707. C2#19147124direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836232
C2×#145835872
#191471242
C2×#145832362
C2×#145832432
C2×#145832422
C2×#145832032
C2×#145831912
C2×#145831582
C2×#145831412
C2×#145830072
C2×#145829722
C2×#145829402
C2×#145829342
C2×C43×#5012
C2×#334943