Finite Group Databasebeta

← C2×#19146048 #25969553

Subgroups — C2×#19146048 #25969553

Order 11008.

1754 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583512C211yesmaximal, characteristic
2C2×#14583507C211yesmaximal, characteristic
3#19146048C2116yesmaximal, direct product factor
4C2×#14583209C211yesmaximal, characteristic, complemented
5C2×#14583205C211yesmaximal, characteristic, complemented
6C2×#14583203C211yesmaximal, characteristic, complemented
7C2×#14583158C211yesmaximal, characteristic
8C2×#14583156C211yesmaximal, characteristic
9C2×#14583141C211yesmaximal, characteristic
10C2×#14583139C211yesmaximal, characteristic
11C2×#14583110C211yesmaximal, characteristic, complemented
12C2×#14583109C211yesmaximal, characteristic, complemented
13C2×#14583108C211yesmaximal, characteristic, complemented
14C2×#14583108C211yesmaximal, characteristic, complemented
15C2×#14582924C211yesmaximal, characteristic
16C2×C43×#479C211yesmaximal, characteristic, complemented
17C22×Dic172C2211yescharacteristic
18C22×Dic172C2211yescharacteristic
19C22×#10621885C2211yescharacteristic
20C22×#10621885C2211yescharacteristic
21C22×#10621872C2211yescharacteristic
22C22×C8×D43C2211yescharacteristic
23#14583512—24no—
24#14583512C2218yes—
25#14583507—24no—
26#14583507C2218yes—
27C2×#13063325C2211yescharacteristic
28C2×#13063323C2211yescharacteristic
29C2×#13063320—21no—
30C2×#13063320—21no—
31C2×#13063320—21no—
32C2×#13063319—21no—
33C2×#13063317—21no—
34C2×#13063316—21no—
35C2×#13063316—21no—
36C2×#13063316C2211yescharacteristic
37C2×#13063315—21no—
38C2×#13063305C2211yescharacteristic
39C2×#13063305C2211yescharacteristic
40C2×#13063305C2211yescharacteristic
41C2×#13063301C2211yescharacteristic
42C2×C4×Dic86C2211yescharacteristic
43C2×#13063290C2211yescharacteristic
44C2×#13063290C2211yescharacteristic
45C2×#13063282C2211yescharacteristic
46#14583209C2218yescomplemented
47#14583205C2218yescomplemented
48#14583203C2218yescomplemented
49#14583158C2218yes—
50#14583156C2218yes—
51#14583141C2218yes—
52#14583139C2218yes—
53#14583110C2218yescomplemented
54#14583109C2218yescomplemented
55#14583108C2218yescomplemented
56#14583108C2218yescomplemented
57C2×#13063258C2211yescharacteristic
58C2×#13063256C2211yescharacteristic
59#14582924C2218yes—
60C2×C4⋊(C43⋊C8)C2211yescharacteristic
61C2×Dic43⋊C8C2211yescharacteristic
62C2×Dic43⋊C8C2211yescharacteristic
63C2×#13063250C2211yescharacteristic
64C2×#13063250C2211yescharacteristic
65C2×#13063248C2211yescharacteristic
66C2×#13063248C2211yescharacteristic
67C2×#13063248C2211yescharacteristic
68C2×#13063248C2211yescharacteristic
69C2×#125×C43C2211yescharacteristic
70C2×C4×Q8×C43C2211yescharacteristic
71C43×#479C2218yescomplemented
72C2×#107×C43C2211yescharacteristic
73C2×#106×C43C2211yescharacteristic
74C2×C4⋊C8×C43C2211yescharacteristic
75C2×#103×C43C2211yescharacteristic
76C2×#103×C43C2211yescharacteristic
77C22×Dic86C2311yescharacteristic
78C22×Dic86C2311yescharacteristic
79C22×Dic86C2311yescharacteristic
80C22×C4×D43C2311yescharacteristic
81C2×Dic172—42no—
82C2×Dic172—42no—
83C2×Dic172C2314yes—
84C2×Dic172C2314yes—
85C2×#10621885—42no—
86C2×#10621885—42no—
87C2×#10621885C2314yes—
88C2×#10621885C2314yes—
89C2×#10621872—42no—
90C2×#10621872C2314yes—
91C22×C43⋊C8C2311yescharacteristic
92C22×C43⋊C8C2311yescharacteristic
93C2×C8×D43—42no—
94C2×C8×D43C2314yes—
95#13063325—22no—
96#13063325C2314yes—
97#13063323—22no—
98#13063323C2314yes—
99#13063320—28no—
100#13063320—28no—
101#13063320—28no—
102#13063319—28no—
103#13063317—28no—
104#13063316—28no—
105#13063316—28no—
106#13063316—22no—
107#13063316C2314yes—
108#13063315—28no—
109#13063305—22no—
110#13063305—22no—
111#13063305—22no—
112#13063305C2314yes—
113#13063305C2314yes—
114#13063305C2314yes—
115#13063301—22no—
116#13063301C2314yes—
117C4×Dic86—22no—
118C4×Dic86C2314yes—
119#13063290—22no—
120#13063290—22no—
121#13063290C2314yes—
122#13063290C2314yes—
123#13063282D414yes—
124#13063282C2314yes—
125C2×C4⋊Dic43—21no—
126C2×C4⋊Dic43—21no—
127C2×C4⋊Dic43—21no—
128C2×C4⋊Dic43—21no—
129C2×C4⋊Dic43—21no—
130C2×C4⋊Dic43—21no—
131C2×C4⋊Dic43C2311yescharacteristic
132C2×Dic43⋊C4—21no—
133C2×Dic43⋊C4—21no—
134C2×Dic43⋊C4—21no—
135C2×Dic43⋊C4—21no—
136C2×Dic43⋊C4—21no—
137C2×Dic43⋊C4—21no—
138C2×Dic43⋊C4—21no—
139C2×Dic43⋊C4D411yescharacteristic
140C2×Dic43⋊C4D411yescharacteristic
141C2×(C2×D43)⋊C4—21no—
142C2×(C2×D43)⋊C4—21no—
143C2×(C2×D43)⋊C4—21no—
144C2×(C2×D43)⋊C4—21no—
145C2×(C2×D43)⋊C4D411yescharacteristic
146C2×(C2×D43)⋊C4D411yescharacteristic
147C2×C4×Dic43—21no—
148C2×C4×Dic43—21no—
149C2×C4×Dic43—21no—
150C2×C4×Dic43C2311yescharacteristic
151#13063258C2314yes—
152#13063256C2314yes—
153C4⋊(C43⋊C8)C2314yes—
154Dic43⋊C8C2314yes—
155Dic43⋊C8C2314yes—
156#13063250C2314yes—
157#13063250C2314yes—
158#13063248C2314yes—
159#13063248C2314yes—
160#13063248C2314yes—
161#13063248C2314yes—
162C22×Q8×C43C2311yescharacteristic
163C22×C8×C43C2311yescharacteristic
164C22×C8×C43C2311yescharacteristic
165#125×C43—22no—
166#125×C43C2314yes—
167C4×Q8×C43—22no—
168C4×Q8×C43C2314yes—
169C2×C4⋊C4×C43—21no—
170C2×C4⋊C4×C43—21no—
171C2×C4⋊C4×C43—21no—
172C2×C4⋊C4×C43C2311yescharacteristic
173C2×C4⋊C4×C43C2311yescharacteristic
174C2×C4⋊C4×C43C2311yescharacteristic
175C2×C42×C43—21no—
176C2×C42×C43C2311yescharacteristic
177#107×C43C2314yes—
178#106×C43C2314yes—
179C4⋊C8×C43C2314yes—
180#103×C43C2314yes—
181#103×C43C2314yes—
182C23×D43C2×D411yescharacteristic
183C2×Q8×C43—21no—
184C2×Q8×C43—22no—
185C2×Q8×C43—22no—
186C2×Q8×C43C2412yes—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2411yescharacteristic
194C22×Dic43—21no—
195C22×Dic43—21no—
196C22×Dic43—21no—
197C22×Dic43—21no—
198C22×Dic43C2×D411yescharacteristic
199C22×Dic43C2×D411yescharacteristic
200C22×Dic43C2×D411yescharacteristic
201C2×C4×D43—22no—
202C2×C4×D43—22no—
203C2×C4×D43C2×D412yes—
204C2×C4×D43C2412yes—
205C2×Dic86—22no—
206C2×Dic86—22no—
207C2×Dic86—22no—
208C2×Dic86—22no—
209C2×Dic86—22no—
210C2×Dic86—22no—
211C2×Dic86—21no—
212C2×Dic86—21no—
213C2×Dic86—21no—
214C2×Dic86C2412yes—
215C2×Dic86C2412yes—
216C2×Dic86C2412yes—
217C2×C8×C43—22no—
218C2×C8×C43—22no—
219C2×C8×C43C2412yes—
220C2×C8×C43C2412yes—
221C4⋊C4×C43—24no—
222C4⋊C4×C43—24no—
223C4⋊C4×C43—24no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43C2412yes—
228C4⋊C4×C43C2412yes—
229C4⋊C4×C43C2412yes—
230C42×C43—24no—
231C42×C43C2×D412yes—
232C42×C43C2412yes—
233#10621885—44no—
234#10621885—44no—
235(C2×D43)⋊C4—24no—
236(C2×D43)⋊C4—24no—
237(C2×D43)⋊C4—24no—
238(C2×D43)⋊C4—24no—
239(C2×D43)⋊C4C2×D414yes—
240(C2×D43)⋊C4C2×D414yes—
241C4⋊Dic43—24no—
242C4⋊Dic43—24no—
243C4⋊Dic43—21no—
244C4⋊Dic43—24no—
245C4⋊Dic43—24no—
246C4⋊Dic43—24no—
247C4⋊Dic43—24no—
248C4⋊Dic43C2412yes—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4—24no—
254Dic43⋊C4—24no—
255Dic43⋊C4—24no—
256Dic43⋊C4C2×D414yes—
257Dic43⋊C4C2×D414yes—
258C4×Dic43—24no—
259C4×Dic43—24no—
260C4×Dic43—24no—
261C4×Dic43C2×D412yes—
262C4×Dic43C2412yes—
263C2×C43⋊C8—22no—
264C2×C43⋊C8—22no—
265C2×C43⋊C8C2412yes—
266C2×C43⋊C8C2412yes—
267Dic172—44no—
268Dic172—44no—
269#10621872—44no—
270C8×D43—44no—
271C23×C43C22×D411yescharacteristic
272C22×D43—22no—
273C22×D43—22no—
274C22×D43—22no—
275C22×D43C22×D412yes—
276Q8×C43—22no—
277Q8×C43—22no—
278Q8×C43—42no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—22no—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—22no—
285C2×C4×C43—42no—
286C2×C4×C43—42no—
287C2×C4×C43—42no—
288C2×C4×C43—42no—
289C2×C4×C43C22×D412yes—
290C2×C4×C43C22×D412yes—
291C2×C4×C43C22×D411yescharacteristic
292C2×C4×C43H(5,𝔽2)12yes—
293C2×C4×C432−1+412yes—
294C2×C4×C43C2511yescharacteristic
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—42no—
303C2×Dic43—42no—
304C2×Dic43—42no—
305C2×Dic43—42no—
306C2×Dic43C22×D412yes—
307C2×Dic43C22×D412yes—
308C2×Dic43C22×D412yes—
309C4×D43—24no—
310C4×D43—22no—
311C4×D43—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—22no—
316Dic86—22no—
317Dic86—22no—
318Dic86—42no—
319Dic86—42no—
320Dic86—42no—
321C8×C43—22no—
322C8×C43—22no—
323C43⋊C8—22no—
324C43⋊C8—22no—
325C2×#3261—431nomaximal, Sylow
326C22×C43#53712yes—
327C22×C43#57812yes—
328C22×C43#57812yes—
329C22×C43C23×D411yescharacteristic
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—44no—
334C4×C43—22no—
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—42no—
338C4×C43—42no—
339C4×C43—42no—
340C4×C43#53712yes—
341C4×C43C2×H(5,𝔽2)11yescharacteristic
342C4×C43C2×2−1+411yescharacteristic
343Dic43—22no—
344Dic43—22no—
345Dic43—22no—
346Dic43—42no—
347Dic43—42no—
348Dic43—42no—
349Dic43—42no—
350C2×#541—431no—
351C2×#541—431no—
352#3261—4316no—
353C2×#479—431no—
354C2×#479—431no—
355C2×#479—431no—
356C2×#479D4311yescharacteristic, complemented
357C2×#470—431no—
358C2×#470—431no—
359C2×#467—431no—
360C2×#467—431no—
361C2×#462—431no—
362C2×#462—431no—
363C2×#462—431no—
364C2×#462—431no—
365C2×#424—431no—
366C2×C43#326114yescomplemented
367C2×C43C2×#53711yescharacteristic
368C2×C43C2×#57811yescharacteristic
369C2×C43C2×#57811yescharacteristic
370D43—42no—
371C22×Q16—431no—
372C22×Q16—431no—
373C22×Q16—431no—
374C22×Q16—431no—
375C22×M16—431no—
376C23×C8—431no—
377#541—438no—
378#541—438no—
379#541—864no—
380#541—864no—
381C2×C4⋊Q8—431no—
382C2×C4⋊Q8—431no—
383C2×#126—861no—
384C2×#126—861no—
385C2×#126—861no—
386C2×#126—861no—
387C2×#125—431no—
388C2×#125—861no—
389C2×#125—861no—
390C2×#125—861no—
391C2×#125—861no—
392C2×#125C2×D4311yescharacteristic
393C2×C22⋊Q8—431no—
394C2×C22⋊Q8—431no—
395C2×C22⋊Q8—431no—
396C2×C22⋊Q8—431no—
397C2×C4×Q8—431no—
398C2×C4×Q8—431no—
399C2×C4×Q8—431no—
400C2×C4×Q8C2×D4311yescharacteristic
401C2×#117—431no—
402#479—438no—
403#479—438no—
404#479—438no—
405#479C2×D4318yescomplemented
406#470—438no—
407#470—438no—
408#467—438no—
409#467—438no—
410#462—438no—
411#462—438no—
412#462—438no—
413#462—438no—
414C2×#107—431no—
415C2×#107C2×D4311yescharacteristic
416C2×#106—431no—
417C2×#106C2×D4311yescharacteristic
418#424—438no—
419C2×C4⋊C8—431no—
420C2×C4⋊C8—431no—
421C2×C4⋊C8—431no—
422C2×C4⋊C8C2×D4311yescharacteristic
423C2×#103—431no—
424C2×#103—431no—
425C2×#103—431no—
426C2×#103—431no—
427C2×#103—431no—
428C2×#103—431no—
429C2×#103C2×D4311yescharacteristic
430C2×#103C2×D4311yescharacteristic
431C43C2×#326111yescharacteristic, complemented, Sylow
432C22×Q8—431no—
433C22×Q8—431no—
434C22×Q8—431no—
435C22×Q8C22×D4311yescharacteristic
436C23×C4—431no—
437C2×Q16—434no—
438C2×Q16—434no—
439C2×Q16—434no—
440C2×Q16—434no—
441C2×Q16—1722no—
442C2×Q16—1722no—
443C2×Q16—1722no—
444C2×Q16—1722no—
445C2×M16—434no—
446C2×M16—1722no—
447C22×C8—431no—
448C22×C8—431no—
449C22×C8—434no—
450C22×C8—1722no—
451C22×C8C22×D4311yescharacteristic
452C22×C8C22×D4311yescharacteristic
453C4⋊Q8—434no—
454C4⋊Q8—434no—
455C4⋊Q8—862no—
456C4⋊Q8—862no—
457#126—868no—
458#126—868no—
459#126—868no—
460#126—868no—
461#125—22no—
462#125—434no—
463#125—868no—
464#125—862no—
465#125—868no—
466#125—868no—
467#125—868no—
468#125C22×D4314yes—
469C22⋊Q8—434no—
470C22⋊Q8—434no—
471C22⋊Q8—434no—
472C22⋊Q8—434no—
473C22⋊Q8—862no—
474C22⋊Q8—862no—
475C22⋊Q8—862no—
476C22⋊Q8—862no—
477C4×Q8—22no—
478C4×Q8—434no—
479C4×Q8—434no—
480C4×Q8—434no—
481C4×Q8—862no—
482C4×Q8—862no—
483C4×Q8—862no—
484C4×Q8C22×D4314yes—
485#117—434no—
486#117—434no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—431no—
491C2×C4⋊C4—431no—
492C2×C4⋊C4—431no—
493C2×C4⋊C4—861no—
494C2×C4⋊C4—861no—
495C2×C4⋊C4—861no—
496C2×C4⋊C4—861no—
497C2×C4⋊C4—861no—
498C2×C4⋊C4—861no—
499C2×C4⋊C4—861no—
500C2×C4⋊C4—861no—
501C2×C4⋊C4—861no—
502C2×C4⋊C4—861no—
503C2×C4⋊C4—861no—
504C2×C4⋊C4—861no—
505C2×C4⋊C4—861no—
506C2×C4⋊C4C22×D4311yescharacteristic
507C2×C4⋊C4C22×D4311yescharacteristic
508C2×C4⋊C4C22×D4311yescharacteristic
509C2×C22⋊C4—431no—
510C2×C22⋊C4—431no—
511C2×C22⋊C4—861no—
512C2×C22⋊C4—861no—
513C2×C22⋊C4—861no—
514C2×C22⋊C4—861no—
515C2×C42—21no—
516C2×C42—431no—
517C2×C42—861no—
518C2×C42—861no—
519C2×C42—861no—
520C2×C42C22×D4311yescharacteristic
521#107—434no—
522#107C22×D4314yes—
523#106—434no—
524#106C22×D4314yes—
525C4⋊C8—434no—
526C4⋊C8—434no—
527C4⋊C8—434no—
528C4⋊C8C22×D4314yes—
529#103—434no—
530#103—434no—
531#103—434no—
532#103—434no—
533#103—434no—
534#103—434no—
535#103C22×D4314yes—
536#103C22×D4314yes—
537C24—431no—
538C2×Q8—21no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—432no—
542C2×Q8—432no—
543C2×Q8—432no—
544C2×Q8—861no—
545C2×Q8—861no—
546C2×Q8—861no—
547C2×Q8—862no—
548C2×Q8—862no—
549C2×Q8—862no—
550C2×Q8—862no—
551C2×Q8—862no—
552C2×Q8—862no—
553C2×Q8C23×D4312yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—431no—
559C22×C4—431no—
560C22×C4—431no—
561C22×C4—432no—
562C22×C4—432no—
563C22×C4—862no—
564C22×C4—862no—
565C22×C4—861no—
566C22×C4—861no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4D4×D4311yescharacteristic
570C22×C4D4×D4311yescharacteristic
571C22×C4C23×D4311yescharacteristic
572Q16—1724no—
573Q16—1724no—
574Q16—1724no—
575Q16—1724no—
576M16—1724no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—432no—
580C2×C8—432no—
581C2×C8—862no—
582C2×C8—862no—
583C2×C8—1724no—
584C2×C8C23×D4312yes—
585C2×C8C23×D4312yes—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—434no—
593C4⋊C4—434no—
594C4⋊C4—432no—
595C4⋊C4—864no—
596C4⋊C4—864no—
597C4⋊C4—864no—
598C4⋊C4—864no—
599C4⋊C4—864no—
600C4⋊C4—864no—
601C4⋊C4—864no—
602C4⋊C4—864no—
603C4⋊C4—864no—
604C4⋊C4—864no—
605C4⋊C4—861no—
606C4⋊C4—864no—
607C4⋊C4—864no—
608C4⋊C4—864no—
609C4⋊C4C23×D4312yes—
610C4⋊C4C23×D4312yes—
611C4⋊C4C23×D4312yes—
612C22⋊C4—434no—
613C22⋊C4—434no—
614C22⋊C4—864no—
615C22⋊C4—864no—
616C22⋊C4—864no—
617C22⋊C4—864no—
618C42—24no—
619C42—432no—
620C42—432no—
621C42—864no—
622C42—864no—
623C42—864no—
624C42D4×D4312yes—
625C42C23×D4312yes—
626C23—432no—
627C23—862no—
628C23—862no—
629C23—862no—
630C23C2×D4×D4311yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—42no—
634Q8—862no—
635Q8—862no—
636Q8—862no—
637Q8—862no—
638Q8—862no—
639Q8—862no—
640Q8—1722no—
641Q8—1722no—
642Q8—1722no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—432no—
654C2×C4—432no—
655C2×C4—432no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—864no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—862no—
665C2×C4—862no—
666C2×C4—1722no—
667C2×C4—1722no—
668C2×C4—1722no—
669C2×C4—1722no—
670C2×C4C2×D4×D4312yes—
671C2×C4C2×D4×D4312yes—
672C2×C4C2×D4×D4311yescharacteristic
673C2×C4#1306337112yes—
674C2×C4#1306337312yes—
675C2×C4C24×D4311yescharacteristic
676C8—22no—
677C8—22no—
678C8—862no—
679C8—862no—
680C22—862no—
681C22—862no—
682C22—862no—
683C22—1724no—
684C22#1458347912yes—
685C22#1458371312yes—
686C22#1458371512yes—
687C22C22×D4×D4311yescharacteristic
688C4—22no—
689C4—22no—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—862no—
695C4—862no—
696C4—862no—
697C4—1722no—
698C4—1722no—
699C4—1722no—
700C4—1722no—
701C4#1458347912yes—
702C4C2×#1306337111yescharacteristic
703C4C2×#1306337311yescharacteristic
704C2—1722no—
705C2#1914604814yesdirect product factor
706C2C2×#1458347911yescharacteristic
707C2C2×#1458371311yescharacteristic
708C2C2×#1458371511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#479C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
hypercenterC2×#479D43
hypocenterC43C2×#3261
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #19146048C2direct (N × H)
4. C2×#14583209C2semidirect
5. C2×#14583205C2semidirect
6. C2×#14583203C2semidirect
11. C2×#14583110C2semidirect
12. C2×#14583109C2semidirect
13. C2×#14583108C2semidirect
14. C2×#14583108C2semidirect
16. C2×C43×#479C2semidirect
46. #14583209C22semidirect
47. #14583205C22semidirect
48. #14583203C22semidirect
53. #14583110C22semidirect
54. #14583109C22semidirect
55. #14583108C22semidirect
56. #14583108C22semidirect
71. C43×#479C22semidirect
356. C2×#479D43semidirect
366. C2×C43#3261semidirect
405. #479C2×D43semidirect
431. C43C2×#3261semidirect
705. C2#19146048direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835122
C2×#145835072
#191460482
C2×#145832092
C2×#145832052
C2×#145832032
C2×#145831582
C2×#145831562
C2×#145831412
C2×#145831392
C2×#145831102
C2×#145831092
C2×#145831082
C2×#145829242
C2×C43×#4792
C2×#326143