Finite Group Databasebeta

← #25106573

Subgroups — #25106573

Order 11008.

1078 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×#14583520C211yesmaximal, characteristic
2#19137204C211yesmaximal, characteristic, complemented
3#19135546C211yesmaximal, characteristic, complemented
4#19135542C211yesmaximal, characteristic, complemented
5#19135525C211yesmaximal, characteristic, complemented
6#19135525C211yesmaximal, characteristic, complemented
7#19135033C211yesmaximal, characteristic
8#19135028C211yesmaximal, characteristic, complemented
9#19135023C211yesmaximal, characteristic
10#19135018C211yesmaximal, characteristic, complemented
11#19134611C211yesmaximal, characteristic, complemented
12#19134606C211yesmaximal, characteristic, complemented
13#19134601C211yesmaximal, characteristic, complemented
14#19134596C211yesmaximal, characteristic, complemented
15C2×C43×#424C211yesmaximal, characteristic, complemented
16#14583520—24no—
17#14583520C418yescomplemented
18C2×#13063325C2211yescharacteristic
19C2×#13063320—21no—
20C2×#13063313C2211yescharacteristic
21C2×#13063311—21no—
22C2×#13063307—21no—
23C2×#13063304C2211yescharacteristic
24C2×#13063303—21no—
25C2×#13063299C2211yescharacteristic
26C2×C4×Dic86C2211yescharacteristic
27C2×C4×D172C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36#14582792—21no—
37#14582792—21no—
38#14582785—21no—
39#14582785—21no—
40#14582769C2211yescharacteristic
41#14582765C2211yescharacteristic
42#14582759C2211yescharacteristic
43#14582759C2211yescharacteristic
44C4×C4⋊Dic43C2211yescharacteristic
45C4×C4⋊Dic43C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54C22×M16×C43C2211yescharacteristic
55C23×C8×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C43×#424—24no—
58C2×C4⋊C8×C43C2211yescharacteristic
59C2×C4⋊C8×C43C2211yescharacteristic
60C2×C4⋊C8×C43C2211yescharacteristic
61C2×C4⋊C8×C43C2211yescharacteristic
62C22×Dic86—21no—
63C22×Dic86C2311yescharacteristic
64C22×D172C2311yescharacteristic
65C22×C22⋊D43—21no—
66C22×C4×D43—21no—
67#13063325—22no—
68#13063325C2×C414yes—
69#13063320—28no—
70#13063313—22no—
71#13063313C2×C414yes—
72#13063311—28no—
73#13063307—28no—
74#13063304—22no—
75#13063304C2×C414yes—
76#13063303—28no—
77#13063299—22no—
78#13063299C2×C414yes—
79C4×Dic86—22no—
80C4×Dic86C2×C414yes—
81C4×D172—22no—
82C4×D172C2×C414yes—
83C2×C4⋊Dic43—21no—
84C2×C4⋊Dic43—21no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104#13063250—41no—
105#13063250—41no—
106#13063250—41no—
107#13063250—41no—
108#13063247—41no—
109#13063247—41no—
110#13063247—41no—
111#13063247—41no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C23×C4×C43C2311yescharacteristic
119C2×M16×C43—22no—
120C2×M16×C43—41no—
121C2×M16×C43—41no—
122C22×C8×C43—22no—
123C22×C8×C43—41no—
124C22×C8×C43—41no—
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129#117×C43C2×C414yes—
130#117×C43D414yes—
131C2×C4⋊C4×C43D411yescharacteristic
132C2×C4⋊C4×C43D411yescharacteristic
133C2×C22⋊C4×C43D411yescharacteristic
134C2×C22⋊C4×C43D411yescharacteristic
135C2×C42×C43C2311yescharacteristic
136C2×C42×C43C2311yescharacteristic
137C4⋊C8×C43—22no—
138C4⋊C8×C43—22no—
139C4⋊C8×C43—22no—
140C4⋊C8×C43—22no—
141C24×C43C2×D411yescharacteristic
142C23×D43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43C22×C412yes—
148C22×C4×C43C2×D412yes—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—24no—
156C2×C22⋊D43—81no—
157C2×C22⋊D43—81no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172C22×C412yes—
171C2×C4×D43—24no—
172C2×C4×D43—81no—
173C2×C4×D43—81no—
174C2×Dic86—21no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—24no—
180C2×Dic86—81no—
181C2×Dic86—81no—
182C2×Dic86C22×C412yes—
183M16×C43—44no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—44no—
197C4⋊C4×C43C22⋊C414yes—
198C4⋊C4×C43C22⋊C414yes—
199C22⋊C4×C43C22⋊C414yes—
200C22⋊C4×C43C22⋊C414yes—
201C42×C43C22×C412yes—
202C42×C43C22×C412yes—
203C42×C43C2×D412yes—
204C42×C43C2×D412yes—
205C22⋊Dic43—24no—
206C22⋊Dic43—81no—
207C22⋊Dic43—81no—
208(C2×D43)⋊C4—24no—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—24no—
212C4⋊Dic43—24no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—81no—
224C4⋊Dic43—81no—
225C4⋊Dic43C22×C412yes—
226C4⋊Dic43C22×C412yes—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229C4×Dic43—24no—
230C4×Dic43—81no—
231C4×Dic43—81no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43C2×C22⋊C412yes—
239C23×C43C22×D411yescharacteristic
240C22×D43—22no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43C2×C22⋊C412yes—
262C2×C4×C43C2×C22⋊C412yes—
263C2×C4×C43C2×C22⋊C412yes—
264C2×C4×C43C2×C22⋊C412yes—
265C2×C4×C43C2×C22⋊C412yes—
266C2×C4×C43C23×C411yescharacteristic
267C2×C4×C43C22×D411yescharacteristic
268C2×C4×C43H(5,𝔽2)11yescharacteristic
269C2×C4×C43H(5,𝔽2)11yescharacteristic
270C2×C4×C432−1+411yescharacteristic
271C2×C4×C432−1+411yescharacteristic
272C22⋊D43—84no—
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294D172—22no—
295D172—22no—
296D172—41no—
297D172—41no—
298C4×D43—84no—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303Dic86—84no—
304C8×C43—41no—
305C8×C43—41no—
306C8×C43—41no—
307C8×C43—41no—
308#21896—431nomaximal, Sylow
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43C22×C22⋊C411yescharacteristic
317C22×C43#53711yescharacteristic
318C22×C43#53711yescharacteristic
319C22×C43#57611yescharacteristic
320C22×C43#57711yescharacteristic
321C22×C43#57711yescharacteristic
322C22×C43#57811yescharacteristic
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—42no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C2×D43—81no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—22no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43#52011yescharacteristic
336C4×C43#52011yescharacteristic
337C4×C43#53511yescharacteristic
338C4×C43#53611yescharacteristic
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—81no—
343Dic43—81no—
344Dic43—81no—
345Dic43—81no—
346C2×#542—431no—
347C2×#424D4311yescharacteristic, complemented
348#2314—431no—
349#1988—431no—
350#1987—431no—
351#1983—431no—
352#1983—431no—
353#1895—431no—
354#1894—431no—
355#1893—431no—
356#1892—431no—
357#1805—431no—
358#1804—431no—
359#1803—431no—
360#1802—431no—
361C2×C43—42no—
362C2×C43#231111yescharacteristic
363C2×C43#289711yescharacteristic
364C2×C43#289811yescharacteristic
365C2×C43#325711yescharacteristic
366C2×C43#325811yescharacteristic
367C2×C43#326211yescharacteristic
368C2×C43#326311yescharacteristic
369D43—82no—
370C22×M16C2×D4311yescharacteristic
371C23×C8C2×D4311yescharacteristic
372#542—438no—
373#542—864no—
374C2×C4⋊Q8—431no—
375C2×#126—861no—
376C2×#124—431no—
377C2×#124—861no—
378C2×#123—861no—
379C2×C22⋊Q8—431no—
380C2×C22⋊Q8—861no—
381C2×#121—431no—
382C2×C4×Q8—431no—
383C2×C4×D4—431no—
384C2×#117C2×D4311yescharacteristic
385#424—24no—
386C2×C4⋊C8C2×D4311yescharacteristic
387C2×C4⋊C8C2×D4311yescharacteristic
388C2×C4⋊C8C2×D4311yescharacteristic
389C2×C4⋊C8C2×D4311yescharacteristic
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×#102—431no—
398#388—861no—
399#388—861no—
400#387—861no—
401#387—861no—
402#384—431no—
403#382—431no—
404#380—431no—
405#380—431no—
406C4×C4⋊C4—431no—
407C4×C4⋊C4—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416C43#2189611yescharacteristic, complemented, Sylow
417C22×Q8—431no—
418C22×Q8—861no—
419C22×D4—431no—
420C22×D4—861no—
421C23×C4—861no—
422C23×C4C22×D4311yescharacteristic
423C2×M16—22no—
424C2×M16—41no—
425C2×M16—41no—
426C22×C8—22no—
427C22×C8—41no—
428C22×C8—41no—
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433C4⋊Q8—434no—
434C4⋊Q8—862no—
435#126—868no—
436#124—434no—
437#124—868no—
438#124—862no—
439#123—868no—
440C22⋊Q8—434no—
441C22⋊Q8—862no—
442C22⋊Q8—868no—
443#121—434no—
444#121—862no—
445C4×Q8—434no—
446C4×Q8—862no—
447C4×D4—434no—
448C4×D4—862no—
449#117C4×D4314yes—
450#117C22⋊D4314yes—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4D17211yescharacteristic
463C2×C4⋊C4D17211yescharacteristic
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4D17211yescharacteristic
472C2×C22⋊C4D17211yescharacteristic
473C2×C42—861no—
474C2×C42—861no—
475C2×C42—861no—
476C2×C42C22×D4311yescharacteristic
477C2×C42C22×D4311yescharacteristic
478C4⋊C8—22no—
479C4⋊C8—22no—
480C4⋊C8—22no—
481C4⋊C8—22no—
482#103—1721no—
483#103—1721no—
484#103—1721no—
485#103—1721no—
486#102—1721no—
487#102—1721no—
488#102—1721no—
489#102—1721no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496C24—861no—
497C24C2×D17211yescharacteristic
498C2×Q8—432no—
499C2×Q8—864no—
500C2×Q8—861no—
501C2×Q8—861no—
502C2×Q8—861no—
503C2×Q8—861no—
504C2×Q8—861no—
505C2×Q8—3441no—
506C2×Q8—3441no—
507C2×D4—432no—
508C2×D4—864no—
509C2×D4—861no—
510C2×D4—861no—
511C2×D4—861no—
512C2×D4—861no—
513C2×D4—861no—
514C2×D4—3441no—
515C2×D4—3441no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—864no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—3441no—
529C22×C4—3441no—
530C22×C4C2×C4×D4312yes—
531C22×C4C2×D17211yescharacteristic
532C22×C4C2×D17211yescharacteristic
533C22×C4C2×D17211yescharacteristic
534C22×C4C2×D17211yescharacteristic
535C22×C4C2×D17211yescharacteristic
536C22×C4C2×C22⋊D4312yes—
537C22×C4C23×D4311yescharacteristic
538M16—44no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—44no—
552C4⋊C4—432no—
553C4⋊C4—432no—
554C4⋊C4—864no—
555C4⋊C4—864no—
556C4⋊C4—864no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—3441no—
568C4⋊C4—3441no—
569C4⋊C4(C2×D43)⋊C414yes—
570C4⋊C4(C2×D43)⋊C414yes—
571C22⋊C4—864no—
572C22⋊C4—864no—
573C22⋊C4—864no—
574C22⋊C4—864no—
575C22⋊C4—864no—
576C22⋊C4—3441no—
577C22⋊C4—3441no—
578C22⋊C4(C2×D43)⋊C414yes—
579C22⋊C4(C2×D43)⋊C414yes—
580C42—864no—
581C42—3441no—
582C42—3441no—
583C42C2×C4×D4312yes—
584C42C2×C4×D4312yes—
585C42C2×C22⋊D4312yes—
586C42C2×C22⋊D4312yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—862no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23—1721no—
599C23—1721no—
600C23C2×(C2×D43)⋊C412yes—
601C23C22×D17211yescharacteristic
602Q8—862no—
603Q8—862no—
604Q8—3444no—
605Q8—1721no—
606Q8—1721no—
607D4—862no—
608D4—862no—
609D4—3444no—
610D4—1721no—
611D4—1721no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—3444no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4C2×(C2×D43)⋊C412yes—
649C2×C4C2×(C2×D43)⋊C412yes—
650C2×C4C2×(C2×D43)⋊C412yes—
651C2×C4C2×(C2×D43)⋊C412yes—
652C2×C4C2×(C2×D43)⋊C412yes—
653C2×C4C22×C4×D4311yescharacteristic
654C2×C4C22×C22⋊D4311yescharacteristic
655C2×C4#1306337011yescharacteristic
656C2×C4#1306337011yescharacteristic
657C2×C4#1306337311yescharacteristic
658C2×C4#1306337311yescharacteristic
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—3441no—
671C22—3441no—
672C22—3441no—
673C22—3441no—
674C22—1722no—
675C22—1722no—
676C22—1722no—
677C22C22×(C2×D43)⋊C411yescharacteristic
678C22#1458348011yescharacteristic
679C22#1458348011yescharacteristic
680C22#1458370411yescharacteristic
681C22#1458371111yescharacteristic
682C22#1458371111yescharacteristic
683C22#1458371611yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—3441no—
690C4—3441no—
691C4—3441no—
692C4—3441no—
693C4—1722no—
694C4—1722no—
695C4—1722no—
696C4#1458338011yescharacteristic
697C4#1458338011yescharacteristic
698C4#1458346611yescharacteristic
699C4#1458347311yescharacteristic
700C2—42no—
701C2—3442no—
702C2#1913718811yescharacteristic
703C2#1914312211yescharacteristic
704C2#1914312911yescharacteristic
705C2#1914600811yescharacteristic
706C2#1914602311yescharacteristic
707C2#1914605611yescharacteristic
708C2#1914606611yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#424C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenterC2×#424D43
hypocenterC43#21896
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#424

Complements

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

NH ≅ G/Ntype
2. #19137204C2semidirect
3. #19135546C2semidirect
4. #19135542C2semidirect
5. #19135525C2semidirect
6. #19135525C2semidirect
8. #19135028C2semidirect
10. #19135018C2semidirect
11. #19134611C2semidirect
12. #19134606C2semidirect
13. #19134601C2semidirect
14. #19134596C2semidirect
15. C2×C43×#424C2semidirect
17. #14583520C4semidirect
347. C2×#424D43semidirect
416. C43#21896semidirect

Maximal subgroups

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

subgroupindex
C2×#145835202
#191372042
#191355462
#191355422
#191355252
#191350332
#191350282
#191350232
#191350182
#191346112
#191346062
#191346012
#191345962
C2×C43×#4242
#2189643