Finite Group Databasebeta

← #25112963

Subgroups — #25112963

Order 11008.

1122 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×#14583591C211yesmaximal, characteristic
2C2×#14582973C211yesmaximal, characteristic
3#19137545C211yesmaximal, characteristic
4#19135562C211yesmaximal, characteristic, complemented
5#19135551C211yesmaximal, characteristic, complemented
6#19135029C211yesmaximal, characteristic, complemented
7#19135015C211yesmaximal, characteristic, complemented
8#19134904C211yesmaximal, characteristic, complemented
9#19134689C211yesmaximal, characteristic, complemented
10#19134686C211yesmaximal, characteristic, complemented
11#19134598C211yesmaximal, characteristic, complemented
12#19134427C211yesmaximal, characteristic, complemented
13#19134316C211yesmaximal, characteristic, complemented
14#19134310C211yesmaximal, characteristic, complemented
15C43×#1873C211yesmaximal, characteristic, complemented
16C22×#10621877C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18#14583591—24no—
19#14583591C418yescomplemented
20C2×#13063320—21no—
21C2×#13063316—21no—
22C2×#13063316C2211yescharacteristic
23C2×#13063309—21no—
24C2×#13063301C2211yescharacteristic
25C2×Q8×Dic43C2211yescharacteristic
26C2×C4×C22⋊D43C2211yescharacteristic
27C2×#13063283C2211yescharacteristic
28C2×#13063283C2211yescharacteristic
29C2×#13063281—21no—
30C22×C4⋊Dic43C2211yescharacteristic
31#14582973—24no—
32C2×Dic43⋊C8C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063249C2211yescharacteristic
35C2×(C2×D43)⋊C8C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37#14582799—21no—
38#14582790—21no—
39#14582787—21no—
40#14582768C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582756C2211yescharacteristic
43C4⋊C4×Dic43C2211yescharacteristic
44C4×Dic43⋊C4—21no—
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C22⋊Q8×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×C22⋊D43D411yescharacteristic
63C23×Dic43—21no—
64C22×C4×D43C2311yescharacteristic
65C2×#10621877—22no—
66C2×#10621877—22no—
67C2×#10621877—41no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C2×C8×D43—22no—
71C2×C8×D43—22no—
72C2×C8×D43—41no—
73#13063320—28no—
74#13063316—28no—
75#13063316—22no—
76#13063316C2×C414yes—
77#13063309—28no—
78#13063301—22no—
79#13063301C2×C414yes—
80Q8×Dic43—22no—
81Q8×Dic43C2×C414yes—
82C4×C22⋊D43C2×C414yes—
83C4×C22⋊D43D414yes—
84#13063283—22no—
85#13063283—22no—
86#13063283—41no—
87#13063283C2×C414yes—
88#13063281—28no—
89C2×C4⋊Dic43—22no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43—21no—
93C2×C4⋊Dic43C2×C414yes—
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×C4⋊Dic43C2311yescharacteristic
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4D411yescharacteristic
103C2×C22⋊Dic43—21no—
104C2×C22⋊Dic43D411yescharacteristic
105C2×(C2×D43)⋊C4—21no—
106C2×(C2×D43)⋊C4—21no—
107C2×(C2×D43)⋊C4—21no—
108C2×(C2×D43)⋊C4—21no—
109C2×(C2×D43)⋊C4D411yescharacteristic
110C2×C4×Dic43—21no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43—21no—
113C2×C4×Dic43—21no—
114C2×C4×Dic43C2311yescharacteristic
115Dic43⋊C8—22no—
116#13063249—22no—
117#13063249—41no—
118(C2×D43)⋊C8—22no—
119#13063235—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×Q8×C43C2311yescharacteristic
124C23×C4×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22⋊Q8×C43—22no—
128C22⋊Q8×C43C2×C414yes—
129#117×C43—22no—
130#117×C43—41no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C22⋊C4×C43—21no—
136C2×C22⋊C4×C43—21no—
137C2×C42×C43—21no—
138#103×C43—22no—
139#103×C43—41no—
140C22⋊C8×C43—22no—
141C24×C43C2×D411yescharacteristic
142C23×D43C2×D411yescharacteristic
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C22×C412yes—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43C22×C412yes—
158C22×C4×C43C2×D412yes—
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—41no—
162C2×C22⋊D43—41no—
163C2×C22⋊D43C22⋊C414yes—
164C22×Dic43—24no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43C22×C412yes—
179C2×C4×D43C2×D412yes—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C4⋊C4×C43—24no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43C22×C412yes—
192C4⋊C4×C43#4112yes—
193C22⋊C4×C43—24no—
194C22⋊C4×C43—42no—
195C42×C43—42no—
196C22⋊Dic43—81no—
197C22⋊Dic43C22⋊C414yes—
198(C2×D43)⋊C4—24no—
199(C2×D43)⋊C4—24no—
200(C2×D43)⋊C4—42no—
201(C2×D43)⋊C4—81no—
202(C2×D43)⋊C4C22⋊C414yes—
203C4⋊Dic43—24no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—24no—
207C4⋊Dic43—24no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43C22×C412yes—
213C4⋊Dic43C22×C412yes—
214Dic43⋊C4—24no—
215Dic43⋊C4—24no—
216Dic43⋊C4—42no—
217Dic43⋊C4—81no—
218Dic43⋊C4C22⋊C414yes—
219C4×Dic43—24no—
220C4×Dic43—24no—
221C4×Dic43—42no—
222C4×Dic43—42no—
223C4×Dic43C22×C412yes—
224C4×Dic43C2×D412yes—
225#10621877—44no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8#4112yes—
232C8×D43—44no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43C2×C22⋊C412yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43C2×C22⋊C412yes—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
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—41no—
270C2×C4×C43C2×C22⋊C412yes—
271C2×C4×C43C23×C411yescharacteristic
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—22no—
285C2×Dic43—22no—
286C2×Dic43—48no—
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×Dic43C2×C22⋊C412yes—
298C2×Dic43C2×C22⋊C412yes—
299C2×Dic43C2×C22⋊C412yes—
300C4×D43—22no—
301C4×D43—22no—
302C4×D43—22no—
303C4×D43—22no—
304C8×C43—41no—
305C8×C43—41no—
306C43⋊C8—22no—
307C43⋊C8—41no—
308#22496—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#54611yescharacteristic
318C22×C43#54711yescharacteristic
319C22×C43#57511yescharacteristic
320C22×C43#57511yescharacteristic
321C22×C43#57711yescharacteristic
322C22×C43#57811yescharacteristic
323C2×D43—22no—
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—41no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C4×C43—22no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—81no—
335C4×C43C4×#4111yescharacteristic
336C4×C43#52011yescharacteristic
337C4×C43#54611yescharacteristic
338C4×C43#54711yescharacteristic
339Dic43—22no—
340Dic43—22no—
341Dic43—22no—
342Dic43—42no—
343Dic43—42no—
344Dic43—81no—
345Dic43—81no—
346C2×#552—431no—
347C2×#435—431no—
348#2354—431no—
349#1992—431no—
350#1989—431no—
351#1894—431no—
352#1892—431no—
353#1873—431no—
354#1873D4311yescharacteristic, complemented
355#1825—431no—
356#1824—431no—
357#1803—431no—
358#1763—431no—
359#1736—431no—
360#1735—431no—
361C2×C43—42no—
362C2×C43#233911yescharacteristic
363C2×C43#289611yescharacteristic
364C2×C43#289811yescharacteristic
365C2×C43#331511yescharacteristic
366C2×C43#331711yescharacteristic
367C2×C43#334811yescharacteristic
368C2×C43#334911yescharacteristic
369D43—42no—
370C22×M16—431no—
371C23×C8—431no—
372#552—438no—
373#552—864no—
374C2×#126—861no—
375C2×#125—431no—
376C2×#125—861no—
377C2×#123—861no—
378C2×C22⋊Q8—431no—
379C2×C22⋊Q8C2×D4311yescharacteristic
380C2×C4×Q8—431no—
381C2×C4×D4—431no—
382C2×#117—431no—
383C2×#117—431no—
384C2×#117—861no—
385C2×#117C2×D4311yescharacteristic
386C22×C4⋊C4—431no—
387#435—864no—
388C2×C4⋊C8—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103C2×D4311yescharacteristic
392C2×#103C2×D4311yescharacteristic
393C2×C22⋊C8—431no—
394C2×C22⋊C8C2×D4311yescharacteristic
395C2×#97—431no—
396#390—861no—
397#388—861no—
398#388—861no—
399#384—431no—
400#380—431no—
401#380—431no—
402C4×C4⋊C4—431no—
403C4×C4⋊C4—861no—
404#340—431no—
405#340—431no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340C2×D4311yescharacteristic
415#340C2×D4311yescharacteristic
416C43#2249611yescharacteristic, complemented, Sylow
417C22×Q8C22×D4311yescharacteristic
418C22×D4—431no—
419C23×C4—431no—
420C23×C4—861no—
421C23×C4C22×D4311yescharacteristic
422C2×M16—862no—
423C2×M16—862no—
424C2×M16—1721no—
425C22×C8—431no—
426C22×C8—431no—
427C22×C8—862no—
428C22×C8—862no—
429C22×C8—1721no—
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432#126—868no—
433#125—434no—
434#125—862no—
435#125—868no—
436#123—868no—
437C22⋊Q8—22no—
438C22⋊Q8—434no—
439C22⋊Q8—862no—
440C22⋊Q8C4×D4314yes—
441C4×Q8—434no—
442C4×Q8—862no—
443C4×D4—434no—
444C4×D4—434no—
445#117—22no—
446#117—41no—
447#117—434no—
448#117—868no—
449#117—862no—
450#117—862no—
451#117—1721no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—434no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—862no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—431no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C42—21no—
480C2×C42—431no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42—861no—
484C2×C42—861no—
485C4⋊C8—862no—
486#103—22no—
487#103—41no—
488#103—862no—
489#103—1721no—
490C22⋊C8—22no—
491C22⋊C8—862no—
492#97—862no—
493#95—861no—
494#95—861no—
495#95—861no—
496C24—431no—
497C24D4×D4311yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8C2×C4×D4312yes—
504C2×D4—434no—
505C2×D4—1721no—
506C2×D4—1721no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—431no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—432no—
519C22×C4—432no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—864no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4C2×C4×D4312yes—
532C22×C4D4×D4311yescharacteristic
533C22×C4D4×D4312yes—
534C22×C4C23×D4311yescharacteristic
535M16—1724no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—432no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—1724no—
549C4⋊C4—24no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—434no—
555C4⋊C4—432no—
556C4⋊C4—432no—
557C4⋊C4—864no—
558C4⋊C4—864no—
559C4⋊C4—864no—
560C4⋊C4—864no—
561C4⋊C4—864no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—3441no—
569C4⋊C4—1722no—
570C4⋊C4C2×C4×D4312yes—
571C4⋊C4#1062190012yes—
572C22⋊C4—24no—
573C22⋊C4—42no—
574C22⋊C4—434no—
575C22⋊C4—434no—
576C22⋊C4—864no—
577C22⋊C4—864no—
578C22⋊C4—3441no—
579C22⋊C4—3441no—
580C22⋊C4—1722no—
581C42—42no—
582C42—432no—
583C42—432no—
584C42—864no—
585C42—864no—
586C42—1722no—
587C42—1722no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—432no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23C22⋊C4×D4312yes—
602C23C2×D4×D4311yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—41no—
606Q8—41no—
607D4—1724no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—432no—
627C2×C4—432no—
628C2×C4—432no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1728no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4C22⋊C4×D4312yes—
653C2×C4C22×C4×D4311yescharacteristic
654C2×C4C2×D4×D4311yescharacteristic
655C2×C4#41×D4311yescharacteristic
656C2×C4C2×#1062190011yescharacteristic
657C2×C4#1306337011yescharacteristic
658C2×C4#1306337211yescharacteristic
659C8—41no—
660C8—41no—
661C8—862no—
662C8—1721no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—862no—
671C22—862no—
672C22—862no—
673C22—1721no—
674C22—1721no—
675C22—1721no—
676C22—1721no—
677C22C2×C22⋊C4×D4311yescharacteristic
678C22#1458353611yescharacteristic
679C22#1458354711yescharacteristic
680C22#1458369811yescharacteristic
681C22#1458369811yescharacteristic
682C22#1458370611yescharacteristic
683C22#1458371311yescharacteristic
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—81no—
689C4—862no—
690C4—862no—
691C4—862no—
692C4—3441no—
693C4—3441no—
694C4—1722no—
695C4—1722no—
696C4C4×#1062190011yescharacteristic
697C4#1458337811yescharacteristic
698C4#1458353811yescharacteristic
699C4#1458354911yescharacteristic
700C2—42no—
701C2—1722no—
702C2#1913742111yescharacteristic
703C2#1914311311yescharacteristic
704C2#1914312411yescharacteristic
705C2#1914668411yescharacteristic
706C2#1914671411yescharacteristic
707C2#1914710311yescharacteristic
708C2#1914712811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1873C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
cosocleC22×C4×C43C24
hypercenter#1873D43
hypocenterC43#22496
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1873

Complements

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

NH ≅ G/Ntype
4. #19135562C2semidirect
5. #19135551C2semidirect
6. #19135029C2semidirect
7. #19135015C2semidirect
8. #19134904C2semidirect
9. #19134689C2semidirect
10. #19134686C2semidirect
11. #19134598C2semidirect
12. #19134427C2semidirect
13. #19134316C2semidirect
14. #19134310C2semidirect
15. C43×#1873C2semidirect
19. #14583591C4semidirect
354. #1873D43semidirect
416. C43#22496semidirect

Maximal subgroups

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

subgroupindex
C2×#145835912
C2×#145829732
#191375452
#191355622
#191355512
#191350292
#191350152
#191349042
#191346892
#191346862
#191345982
#191344272
#191343162
#191343102
C43×#18732
#2249643