Finite Group Databasebeta

← #25138983

Subgroups — #25138983

Order 11008.

956 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583158C211yesmaximal, characteristic, complemented
2C2×#14583157C211yesmaximal, characteristic, complemented
3C2×#14582975C211yesmaximal, characteristic
4#19138040C211yesmaximal, characteristic
5#19138018C211yesmaximal, characteristic
6#19135985C211yesmaximal, characteristic, complemented
7#19135971C211yesmaximal, characteristic, complemented
8#19135800C211yesmaximal, characteristic, complemented
9#19135793C211yesmaximal, characteristic, complemented
10#19135454C211yesmaximal, characteristic, complemented
11#19135324C211yesmaximal, characteristic, complemented
12#19134907C211yesmaximal, characteristic, complemented
13#19134902C211yesmaximal, characteristic, complemented
14#19134629C211yesmaximal, characteristic, complemented
15C2×C43×#428C211yesmaximal, characteristic, complemented
16C22×Dic172C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C2×#13063305C2211yescharacteristic
19C2×#13063305C2211yescharacteristic
20C2×#13063304C2211yescharacteristic
21C2×#13063304C2211yescharacteristic
22C2×C4×C22⋊D43C2211yescharacteristic
23#14583158—24no—
24#14583157—24no—
25#14582975—24no—
26C2×#13063257C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×(C2×D43)⋊C8C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37#14582829—21no—
38#14582824—21no—
39#14582821—21no—
40#14582815—21no—
41#14582804C2211yescharacteristic
42#14582804C2211yescharacteristic
43#14582798C2211yescharacteristic
44#14582798C2211yescharacteristic
45#14582797—21no—
46#14582790—21no—
47#14582778—21no—
48#14582759—21no—
49#14582756C2211yescharacteristic
50#14582756C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C22×M16×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C22×C4⋊C4×C43C2211yescharacteristic
58C43×#428—24no—
59C2×#107×C43C2211yescharacteristic
60C2×#107×C43C2211yescharacteristic
61C2×#106×C43C2211yescharacteristic
62C2×#106×C43C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×Dic86C2311yescharacteristic
65C22×C22⋊D43D411yescharacteristic
66C22×C4×D43C2311yescharacteristic
67C2×Dic172—22no—
68C2×Dic172—22no—
69C2×Dic172—22no—
70C2×#10621872—22no—
71C2×#10621872—22no—
72C2×#10621872—22no—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75#13063305—22no—
76#13063305—22no—
77#13063305—41no—
78#13063305—41no—
79#13063304—22no—
80#13063304—22no—
81#13063304—22no—
82#13063304—22no—
83C4×C22⋊D43—22no—
84C4×C22⋊D43—22no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4D411yescharacteristic
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43D411yescharacteristic
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4D411yescharacteristic
102C2×C4×Dic43C2311yescharacteristic
103#13063257—22no—
104Dic43⋊C8—22no—
105#13063250—22no—
106#13063250—22no—
107#13063248—22no—
108#13063248—22no—
109#13063248—41no—
110#13063248—41no—
111C22⋊(C43⋊C8)—22no—
112(C2×D43)⋊C8—22no—
113C8×Dic43—22no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C23×C4×C43—21no—
123C23×C4×C43C2311yescharacteristic
124C2×M16×C43—22no—
125C2×M16×C43—22no—
126C2×M16×C43D414yes—
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129#117×C43—22no—
130#117×C43—41no—
131C2×C4⋊C4×C43—22no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43—41no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C4⋊C4×C43C2311yescharacteristic
138C2×C22⋊C4×C43—21no—
139C2×C42×C43—21no—
140#107×C43—22no—
141#107×C43—22no—
142#106×C43—22no—
143#106×C43D414yescomplemented
144C24×C43C2×D411yescharacteristic
145C23×D43C2×D411yescharacteristic
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—42no—
155C22×C4×C43—42no—
156C22×C4×C43—81no—
157C22×C4×C43C2×D412yes—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43#4112yes—
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—22no—
162C2×C22⋊D43—22no—
163C2×C22⋊D43—41no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189M16×C43—28no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43C2×D412yes—
193C2×C8×C43C2×D412yes—
194C2×C8×C43C2×D412yes—
195C2×C8×C43#4112yes—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43C2×D412yes—
204C4⋊C4×C43C2×D412yes—
205C22⋊C4×C43—42no—
206C42×C43—42no—
207C22⋊Dic43—22no—
208C22⋊Dic43—42no—
209C22⋊Dic43—42no—
210(C2×D43)⋊C4—22no—
211(C2×D43)⋊C4—42no—
212(C2×D43)⋊C4—42no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—81no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—42no—
220C4⋊Dic43—42no—
221C4⋊Dic43—42no—
222C4⋊Dic43—81no—
223Dic43⋊C4—22no—
224Dic43⋊C4—42no—
225Dic43⋊C4—42no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234Dic172—44no—
235#10621872—44no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43#12112yes—
243C23×C43C22×D411yescharacteristic
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43—21no—
250C22×D43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—41no—
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—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—84no—
270C2×C4×C43#12112yes—
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C432−1+411yescharacteristic
277C22⋊D43—44no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43#13712yes—
299C4×D43—41no—
300C4×D43—41no—
301C4×D43—41no—
302C4×D43—41no—
303Dic86—41no—
304Dic86—41no—
305Dic86—41no—
306Dic86—41no—
307Dic86—41no—
308Dic86—41no—
309Dic86—41no—
310Dic86—41no—
311C8×C43—22no—
312C8×C43#12114yes—
313C43⋊C8—41no—
314C43⋊C8—41no—
315#24793—431nomaximal, Sylow
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43C2×#12111yescharacteristic
324C22×C43D4211yescharacteristic
325C22×C43#54711yescharacteristic
326C22×C43C2×#13711yescharacteristic
327C22×C43#57511yescharacteristic
328C22×C43#57711yescharacteristic
329C22×C43#57811yescharacteristic
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—41no—
335C2×D43—41no—
336C2×D43—41no—
337C4×C43—22no—
338C4×C43—42no—
339C4×C43—42no—
340C4×C43—81no—
341C4×C43—81no—
342C4×C43C2×#12111yescharacteristic
343C4×C43#53711yescharacteristic
344C4×C43#54811yescharacteristic
345C4×C43#55311yescharacteristic
346Dic43—22no—
347Dic43—41no—
348Dic43—41no—
349Dic43—81no—
350Dic43—81no—
351Dic43—81no—
352Dic43—81no—
353C2×#470—431no—
354C2×#470—431no—
355C2×#436—431no—
356C2×#428D4311yescharacteristic, complemented
357#2417—431no—
358#2415—431no—
359#2068—431no—
360#2066—431no—
361#2036—431no—
362#2035—431no—
363#1969—431no—
364#1941—431no—
365#1873—431no—
366#1872—431no—
367#1809—431no—
368C2×C43—42no—
369C2×C43#241611yescharacteristic
370C2×C43#305611yescharacteristic
371C2×C43#306311yescharacteristic
372C2×C43#327511yescharacteristic
373C2×C43#327611yescharacteristic
374C2×C43#335211yescharacteristic
375C2×C43#335611yescharacteristic
376D43—81no—
377C22×Q16—431no—
378C22×M16—431no—
379C22×M16C2×D4311yescharacteristic
380C2×C22⋊Q8—431no—
381C2×C22⋊Q8—431no—
382C2×C22⋊Q8—431no—
383C2×C22⋊Q8—431no—
384C2×C4×D4—431no—
385C2×#117C2×D4311yescharacteristic
386C22×C4⋊C4C2×D4311yescharacteristic
387#470—864no—
388#470—864no—
389#436—864no—
390#428—24no—
391C2×#107C2×D4311yescharacteristic
392C2×#107C2×D4311yescharacteristic
393C2×#106—431no—
394C2×#106C2×D4311yescharacteristic
395C2×#106C2×D4311yescharacteristic
396C2×C4⋊C8—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×C22⋊C8—431no—
404C2×C22⋊C8—431no—
405C2×C4×C8—431no—
406#398—861no—
407#397—861no—
408#396—861no—
409#394—861no—
410#391—431no—
411#391—431no—
412#389—431no—
413#389—431no—
414#389—861no—
415#388—861no—
416#386—861no—
417#380—431no—
418#380—431no—
419#380—861no—
420#340—431no—
421#340—431no—
422#340—431no—
423#340—431no—
424C43#2479311yescharacteristic, complemented, Sylow
425C22×Q8—431no—
426C22×Q8—431no—
427C22×D4—431no—
428C23×C4—21no—
429C23×C4—431no—
430C23×C4C22×D4311yescharacteristic
431C2×Q16—862no—
432C2×Q16—862no—
433C2×Q16—862no—
434C2×M16—22no—
435C2×M16—22no—
436C2×M16—862no—
437C2×M16—862no—
438C2×M16—862no—
439C2×M16D17214yes—
440C22×C8—431no—
441C22×C8—431no—
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C22⋊Q8—862no—
445C22⋊Q8—862no—
446C22⋊Q8—862no—
447C22⋊Q8—862no—
448C22⋊Q8—862no—
449C22⋊Q8—862no—
450C22⋊Q8—1721no—
451C22⋊Q8—1721no—
452C4×D4—862no—
453C4×D4—862no—
454#117—22no—
455#117—41no—
456C2×C4⋊C4—22no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—41no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C42—21no—
482C2×C42—431no—
483#107—22no—
484#107—22no—
485#106—22no—
486#106—862no—
487#106C22⋊D4314yescomplemented
488C4⋊C8—862no—
489#103—862no—
490#103—862no—
491#103—862no—
492#103—862no—
493#103—1721no—
494#103—1721no—
495C22⋊C8—862no—
496C22⋊C8—862no—
497C4×C8—862no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95—861no—
503#95—861no—
504#95—861no—
505#95—861no—
506C24—431no—
507C24D4×D4311yescharacteristic
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8—861no—
518C2×Q8—861no—
519C2×Q8—861no—
520C2×D4—862no—
521C2×D4—862no—
522C2×D4—1721no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—81no—
534C22×C4—431no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4C2×D17212yes—
548C22×C4D4×D4311yescharacteristic
549C22×C4#1062190212yes—
550C22×C4C23×D4311yescharacteristic
551Q16—1724no—
552M16—28no—
553M16—1724no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8C2×D17212yes—
563C2×C8C2×D17212yes—
564C2×C8#1062189812yes—
565C2×C8C2×C22⋊D4312yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—42no—
573C4⋊C4—862no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—3441no—
579C4⋊C4—1722no—
580C4⋊C4—1722no—
581C4⋊C4—1722no—
582C4⋊C4—1722no—
583C4⋊C4—1722no—
584C4⋊C4C2×C22⋊D4312yes—
585C4⋊C4C2×C22⋊D4312yes—
586C22⋊C4—42no—
587C22⋊C4—862no—
588C22⋊C4—862no—
589C22⋊C4—3441no—
590C22⋊C4—1722no—
591C22⋊C4—1722no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C42—42no—
596C42—861no—
597C42—861no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—861no—
605C23—861no—
606C23—861no—
607C23—861no—
608C23—861no—
609C23—861no—
610C23—861no—
611C23#1306330012yes—
612C23C2×D4×D4311yescharacteristic
613Q8—1721no—
614Q8—1721no—
615Q8—1721no—
616Q8—1721no—
617Q8—1721no—
618Q8—1721no—
619Q8—1721no—
620Q8—1721no—
621D4—1724no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—84no—
641C2×C4—432no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4#1306330012yes—
667C2×C4C22×C22⋊D4311yescharacteristic
668C2×C4C22×D17211yescharacteristic
669C2×C4C2×#1062189811yescharacteristic
670C2×C4C2×#1062190211yescharacteristic
671C2×C4#1306337011yescharacteristic
672C2×C4#1306337311yescharacteristic
673C8—22no—
674C8—1721no—
675C8—1721no—
676C8#1306329914yes—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—1721no—
685C22—1721no—
686C22—1721no—
687C22—1721no—
688C22—1721no—
689C22—1721no—
690C22—1721no—
691C22C2×#1306330011yescharacteristic
692C22D4×C22⋊D4311yescharacteristic
693C22#1458355011yescharacteristic
694C22#137×D4311yescharacteristic
695C22#1458369511yescharacteristic
696C22#1458370911yescharacteristic
697C22#1458371511yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—862no—
704C4—3441no—
705C4—3441no—
706C4—3441no—
707C4—3441no—
708C4—1721no—
709C4—1721no—
710C4C2×#1306329911yescharacteristic
711C4#1458348011yescharacteristic
712C4#1458356011yescharacteristic
713C4#1458359711yescharacteristic
714C2—42no—
715C2—3441no—
716C2#1913802911yescharacteristic
717C2#1914422611yescharacteristic
718C2#1914428711yescharacteristic
719C2#1914622611yescharacteristic
720C2#1914623511yescharacteristic
721C2#1914716611yescharacteristic
722C2#1914720611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#428C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
hypercenterC2×#428D43
hypocenterC43#24793
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
1. C2×#14583158C2semidirect
2. C2×#14583157C2semidirect
6. #19135985C2semidirect
7. #19135971C2semidirect
8. #19135800C2semidirect
9. #19135793C2semidirect
10. #19135454C2semidirect
11. #19135324C2semidirect
12. #19134907C2semidirect
13. #19134902C2semidirect
14. #19134629C2semidirect
15. C2×C43×#428C2semidirect
143. #106×C43D4semidirect
356. C2×#428D43semidirect
424. C43#24793semidirect
487. #106C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831582
C2×#145831572
C2×#145829752
#191380402
#191380182
#191359852
#191359712
#191358002
#191357932
#191354542
#191353242
#191349072
#191349022
#191346292
C2×C43×#4282
#2479343