Finite Group Databasebeta

← #25117326

Subgroups — #25117326

Order 11008.

1114 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583039C211yesmaximal, characteristic
2C2×C4×#10621873C211yesmaximal, characteristic, complemented
3C2×#14582906C211yesmaximal, characteristic, complemented
4#19137632C211yesmaximal, characteristic
5#19137429C211yesmaximal, characteristic, complemented
6#19135473C211yesmaximal, characteristic, complemented
7#19135231C211yesmaximal, characteristic, complemented
8#19135032C211yesmaximal, characteristic
9#19134951C211yesmaximal, characteristic, complemented
10#19134932C211yesmaximal, characteristic, complemented
11#19134848C211yesmaximal, characteristic, complemented
12#19134795C211yesmaximal, characteristic, complemented
13#19134424C211yesmaximal, characteristic, complemented
14#19134378C211yesmaximal, characteristic, complemented
15C43×#1933C211yesmaximal, characteristic, complemented
16C22×Q8×D43C2211yescharacteristic
17C22×#10621873C2211yescharacteristic
18C22×#10621884C2211yescharacteristic
19C22×#10621872C2211yescharacteristic
20C2×#13063300C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×#13063290C2211yescharacteristic
23C2×C4×D172C2211yescharacteristic
24C2×#13063283C2211yescharacteristic
25#14583039C418yescomplemented
26C4×#10621873—24no—
27C2×#13063258C2211yescharacteristic
28C2×#13063257C2211yescharacteristic
29#14582906—24no—
30C2×#13063250C2211yescharacteristic
31C2×#13063249C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×(C2×D43)⋊C8C2211yescharacteristic
37C2×#13063235C2211yescharacteristic
38#14582806C2211yescharacteristic
39#14582803—21no—
40#14582803—21no—
41#14582800—21no—
42#14582800C2211yescharacteristic
43#14582789—21no—
44#14582777—21no—
45#14582758—21no—
46#14582756C2211yescharacteristic
47C4⋊C4×Dic43C2211yescharacteristic
48C4×(C2×D43)⋊C4C2211yescharacteristic
49#14582746—21no—
50#14582746—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C43×#391C2211yescharacteristic
59C43×#389C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86—21no—
63C22×Dic86C2311yescharacteristic
64C2×Q8×D43—22no—
65C2×Q8×D43—22no—
66C2×Q8×D43—22no—
67C2×Q8×D43—41no—
68C2×Q8×D43—41no—
69C2×Q8×D43C2×C414yescomplemented
70C22×D172—21no—
71C22×D172C2311yescharacteristic
72C22×C4×D43—21no—
73C22×C4×D43—21no—
74C22×C4×D43C2311yescharacteristic
75C2×#10621873—22no—
76C2×#10621873—22no—
77C2×#10621873C2×C414yes—
78C2×#10621884—41no—
79C2×#10621884—41no—
80C2×#10621884C2×C414yes—
81C2×#10621872—22no—
82C2×#10621872—22no—
83C2×#10621872—41no—
84C22×C43⋊C8C2311yescharacteristic
85C22×C43⋊C8C2311yescharacteristic
86#13063300—22no—
87#13063300C2×C414yes—
88C4×Dic86—22no—
89C4×Dic86—41no—
90#13063290—22no—
91#13063290—41no—
92C4×D172—22no—
93C4×D172—41no—
94#13063283—22no—
95#13063283—41no—
96C2×C4⋊Dic43C2311yescharacteristic
97C2×C4⋊Dic43C2311yescharacteristic
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4—21no—
106C2×(C2×D43)⋊C4D411yescharacteristic
107C2×(C2×D43)⋊C4D411yescharacteristic
108C2×C4×Dic43—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43—21no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43C2311yescharacteristic
113#13063258—41no—
114#13063257—22no—
115#13063250D414yescomplemented
116#13063249—22no—
117#13063248—22no—
118#13063248C2×C414yescomplemented
119#13063247—22no—
120#13063245—41no—
121(C2×D43)⋊C8C2×C414yescomplemented
122#13063235—41no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C43⋊#95D411yescharacteristic
128C43⋊#95D411yescharacteristic
129C22×Q8×C43C2311yescharacteristic
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C42×C43C2311yescharacteristic
137#103×C43—22no—
138#103×C43C2×C414yescomplemented
139C4×C8×C43—22no—
140#95×C43—21no—
141#95×C43—21no—
142#95×C43—21no—
143C23×D43—21no—
144C23×D43C2×D411yescharacteristic
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43C22×C412yes—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43C2×D411yescharacteristic
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164Q8×D43—28no—
165Q8×D43—44no—
166Q8×D43—44no—
167Q8×D43—44no—
168C2×D172—21no—
169C2×D172—24no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—81no—
175C2×D172—81no—
176C2×D172C22×C412yes—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×C4×D43—24no—
182C2×C4×D43—42no—
183C2×C4×D43—42no—
184C2×C4×D43—42no—
185C2×C4×D43—42no—
186C2×C4×D43—81no—
187C2×C4×D43C22×C412yes—
188C2×C4×D43#4112yes—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—24no—
193C2×Dic86—42no—
194C2×Dic86—42no—
195C2×Dic86C22×C412yes—
196C2×Dic86C2×D412yes—
197C2×Dic86#4112yes—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43C22×C412yes—
203C2×C8×C43C2×D412yes—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—81no—
210C4⋊C4×C43C22×C412yes—
211C42×C43—21no—
212C42×C43—21no—
213#10621884—44no—
214(C2×D43)⋊C4—22no—
215(C2×D43)⋊C4—24no—
216(C2×D43)⋊C4—41no—
217(C2×D43)⋊C4—42no—
218(C2×D43)⋊C4—42no—
219(C2×D43)⋊C4—42no—
220(C2×D43)⋊C4—42no—
221(C2×D43)⋊C4—81no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43C2×D412yes—
226Dic43⋊C4—42no—
227Dic43⋊C4—42no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C4×Dic43—42no—
233C4×Dic43—81no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8C22×C412yes—
240#10621873—28no—
241#10621872—44no—
242C23×C43C22×D411yescharacteristic
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43—22no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43C4×D412yes—
257Q8×C43—22no—
258Q8×C43—22no—
259Q8×C43—41no—
260Q8×C43—41no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43#13712yes—
279C2×C4×C43C23×C411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C2×C4×C43H(5,𝔽2)11yescharacteristic
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43C4×D412yes—
303D172—22no—
304D172—22no—
305D172—41no—
306D172—41no—
307D172—84no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—22no—
311C4×D43—22no—
312C4×D43—48no—
313C4×D43—84no—
314Dic86—22no—
315Dic86—22no—
316Dic86—22no—
317Dic86—48no—
318Dic86C4×D414yes—
319C8×C43—22no—
320C8×C43—22no—
321C43⋊C8—22no—
322C43⋊C8—41no—
323#22885—431nomaximal, Sylow
324C22×C43C2×C4×D411yescharacteristic
325C22×C43D4211yescharacteristic
326C22×C43#54611yescharacteristic
327C22×C43C2×#13711yescharacteristic
328C22×C43#57511yescharacteristic
329C22×C43#57711yescharacteristic
330C22×C43#57711yescharacteristic
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—22no—
334C2×D43—41no—
335C2×D43—41no—
336C2×D43—41no—
337C2×D43—41no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—81no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C4×C43—22no—
346C4×C43—42no—
347C4×C43—42no—
348C4×C43—41no—
349C4×C43—81no—
350C4×C43—81no—
351C4×C43C2×C4×D411yescharacteristic
352C4×C43#51811yescharacteristic
353C4×C43#54611yescharacteristic
354C4×C43#55111yescharacteristic
355Dic43—24no—
356Dic43—22no—
357Dic43—41no—
358Dic43—42no—
359Dic43—41no—
360Dic43—81no—
361C2×#448—431no—
362C2×C4×SD16—431no—
363C2×#419—431no—
364#2363—431no—
365Q8×C22⋊C4—431no—
366#1973—431no—
367#1933D4311yescharacteristic, complemented
368#1927—431no—
369#1895—431no—
370#1880—431no—
371#1877—431no—
372#1863—431no—
373#1854—431no—
374#1763—431no—
375#1753—431no—
376C2×C43#235811yescharacteristic
377C2×C43C4×#13711yescharacteristic
378C2×C43#294911yescharacteristic
379C2×C43#326611yescharacteristic
380C2×C43#327111yescharacteristic
381C2×C43#332611yescharacteristic
382C2×C43#332911yescharacteristic
383D43—42no—
384D43—82no—
385C23×Q8—431no—
386C22×SD16—431no—
387C22×SD16—431no—
388C22×M16—431no—
389C2×#121—431no—
390C2×C4×Q8—431no—
391C2×C4×Q8—431no—
392C2×C4×D4—431no—
393C2×#117—431no—
394#448—438no—
395C4×SD16—864no—
396C2×#107—431no—
397C2×#106—431no—
398#419—864no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103C2×D4311yescharacteristic
404C2×#103C2×D4311yescharacteristic
405C2×#102—431no—
406C2×#102—431no—
407C2×C22⋊C8—431no—
408C2×#97—431no—
409C2×C4×C8C2×D4311yescharacteristic
410#391—431no—
411#391—861no—
412#391—861no—
413#391C2×D4311yescharacteristic
414#390—431no—
415#390—861no—
416#389C2×D4311yescharacteristic
417#388—861no—
418#386—861no—
419#380—431no—
420#380—861no—
421C4×C4⋊C4—431no—
422C4×C22⋊C4—431no—
423C4×C22⋊C4—861no—
424C4×C22⋊C4—861no—
425#340—431no—
426#340—431no—
427#340C2×D4311yescharacteristic
428#340C2×D4311yescharacteristic
429#336—431no—
430#336—431no—
431C43#2288511yescharacteristic, complemented, Sylow
432C22×Q8—434no—
433C22×Q8—431no—
434C22×Q8—861no—
435C22×Q8—862no—
436C22×Q8—862no—
437C22×Q8—862no—
438C22×Q8—1721no—
439C22×Q8—1721no—
440C22×Q8C22×D4311yescharacteristic
441C22×D4—431no—
442C22×D4—861no—
443C23×C4—431no—
444C23×C4—861no—
445C23×C4—861no—
446C2×SD16—434no—
447C2×SD16—434no—
448C2×SD16—862no—
449C2×SD16—862no—
450C2×SD16—1721no—
451C2×SD16—1721no—
452C2×M16—862no—
453C2×M16—862no—
454C2×M16—1721no—
455C22×C8—431no—
456C22×C8—431no—
457C22×C8C22×D4311yescharacteristic
458C22×C8C22×D4311yescharacteristic
459#121—434no—
460#121—862no—
461C4×Q8—862no—
462C4×Q8—862no—
463C4×Q8—1721no—
464C4×Q8—1721no—
465C4×D4—862no—
466C4×D4—1721no—
467#117—862no—
468#117—1721no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C22⋊C4—431no—
478C2×C22⋊C4—431no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C42—431no—
486C2×C42—861no—
487C2×C42—861no—
488C2×C42—861no—
489C2×C42—861no—
490C2×C42C22×D4311yescharacteristic
491#107—1721no—
492#106—862no—
493#103—22no—
494#103—434no—
495#103—434no—
496#103—862no—
497#103—862no—
498#103C4×D4314yescomplemented
499#102—862no—
500#102—1721no—
501C22⋊C8—434no—
502#97—1721no—
503C4×C8—22no—
504#95—21no—
505#95—21no—
506#95—21no—
507#95—431no—
508#95—431no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513C24—431no—
514C24—861no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—432no—
521C2×Q8—432no—
522C2×Q8—432no—
523C2×Q8—864no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—868no—
528C2×Q8—1722no—
529C2×Q8—1722no—
530C2×Q8—1724no—
531C2×Q8—1724no—
532C2×Q8—1724no—
533C2×Q8C2×C4×D4312yes—
534C2×D4—432no—
535C2×D4—864no—
536C2×D4—861no—
537C2×D4—861no—
538C2×D4—861no—
539C2×D4—861no—
540C2×D4—861no—
541C2×D4—3441no—
542C2×D4—3441no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—431no—
548C22×C4—432no—
549C22×C4—432no—
550C22×C4—431no—
551C22×C4—431no—
552C22×C4—864no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—3441no—
561C22×C4—1722no—
562C22×C4—1722no—
563C22×C4—1722no—
564C22×C4—1722no—
565C22×C4D4×D4311yescharacteristic
566C22×C4D4×D4311yescharacteristic
567C22×C4C23×D4311yescharacteristic
568SD16—868no—
569SD16—1724no—
570M16—1724no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—432no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8—861no—
581C2×C8C2×C4×D4312yes—
582C2×C8D4×D4312yes—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—81no—
589C4⋊C4—432no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—1722no—
594C4⋊C4—1722no—
595C4⋊C4C2×C4×D4312yes—
596C22⋊C4—864no—
597C22⋊C4—862no—
598C22⋊C4—3441no—
599C22⋊C4—1721no—
600C22⋊C4—1722no—
601C22⋊C4—1722no—
602C22⋊C4—1722no—
603C22⋊C4—1722no—
604C42—21no—
605C42—21no—
606C42—861no—
607C42—861no—
608C42—3441no—
609C42—1722no—
610C42—1722no—
611C42—1722no—
612C23—432no—
613C23—861no—
614C23—861no—
615C23—861no—
616C23—861no—
617C23—861no—
618C23—861no—
619C23—862no—
620C23—1721no—
621C23—1721no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23C2×D4×D4311yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—41no—
630Q8—41no—
631Q8—434no—
632Q8—862no—
633Q8—862no—
634Q8—862no—
635Q8—1728no—
636D4—862no—
637D4—862no—
638D4—3444no—
639D4—1721no—
640D4—1721no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—432no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—861no—
664C2×C4—862no—
665C2×C4—862no—
666C2×C4—862no—
667C2×C4—862no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—862no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—3444no—
676C2×C4—1728no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4#1306335712yes—
683C2×C4C22×C4×D4311yescharacteristic
684C2×C4C2×D4×D4311yescharacteristic
685C2×C4#41×D4311yescharacteristic
686C2×C4#41×D4311yescharacteristic
687C2×C4#1306337111yescharacteristic
688C2×C4#1306337111yescharacteristic
689C8—22no—
690C8—22no—
691C8—862no—
692C8—1721no—
693C22—862no—
694C22—862no—
695C22—862no—
696C22—3441no—
697C22—3441no—
698C22—3441no—
699C22—3441no—
700C22—1722no—
701C22—1722no—
702C22—1722no—
703C22—1721no—
704C22—1721no—
705C22—1721no—
706C22—1721no—
707C22C4×D4×D4311yescharacteristic
708C22#1458353311yescharacteristic
709C22#1458354211yescharacteristic
710C22C2×#1306335711yescharacteristic
711C22#1458369611yescharacteristic
712C22#1458370511yescharacteristic
713C22#1458370611yescharacteristic
714C4—22no—
715C4—42no—
716C4—42no—
717C4—41no—
718C4—81no—
719C4—81no—
720C4—862no—
721C4—864no—
722C4—3441no—
723C4—1721no—
724C4—1722no—
725C4—1721no—
726C4C4×D4×D4311yescharacteristic
727C4#1458337311yescharacteristic
728C4#1458354111yescharacteristic
729C4#1458357411yescharacteristic
730C2—3442no—
731C2—1722no—
732C2#1913757311yescharacteristic
733C2C4×#1306335711yescharacteristic
734C2#1914344911yescharacteristic
735C2#1914610211yescharacteristic
736C2#1914617711yescharacteristic
737C2#1914684711yescharacteristic
738C2#1914688811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1933C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
cosocleC22×C4×C43C24
hypercenter#1933D43
hypocenterC43#22885
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1933

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621873C2semidirect
3. C2×#14582906C2semidirect
5. #19137429C2semidirect
6. #19135473C2semidirect
7. #19135231C2semidirect
9. #19134951C2semidirect
10. #19134932C2semidirect
11. #19134848C2semidirect
12. #19134795C2semidirect
13. #19134424C2semidirect
14. #19134378C2semidirect
15. C43×#1933C2semidirect
25. #14583039C4semidirect
69. C2×Q8×D43C2×C4semidirect
115. #13063250D4semidirect
118. #13063248C2×C4semidirect
121. (C2×D43)⋊C8C2×C4semidirect
138. #103×C43C2×C4semidirect
367. #1933D43semidirect
431. C43#22885semidirect
498. #103C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830392
C2×C4×#106218732
C2×#145829062
#191376322
#191374292
#191354732
#191352312
#191350322
#191349512
#191349322
#191348482
#191347952
#191344242
#191343782
C43×#19332
#2288543