Finite Group Databasebeta

← #25124995

Subgroups — #25124995

Order 11008.

1058 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583004C211yesmaximal, characteristic, complemented
2C2×C4×#10621885C211yesmaximal, characteristic, complemented
3#19137277C211yesmaximal, characteristic
4#19135930C211yesmaximal, characteristic, complemented
5#19135838C211yesmaximal, characteristic, complemented
6#19135795C211yesmaximal, characteristic
7#19135788C211yesmaximal, characteristic
8#19135743C211yesmaximal, characteristic, complemented
9#19135695C211yesmaximal, characteristic, complemented
10#19135603C211yesmaximal, characteristic
11#19135603C211yesmaximal, characteristic
12#19134425C211yesmaximal, characteristic, complemented
13C4×#13063249C211yesmaximal, characteristic, complemented
14#19134361C211yesmaximal, characteristic
15C2×C43×#541C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×C4×Dic86C2211yescharacteristic
20#14583004—24no—
21C4×#10621885—24no—
22C2×#13063258C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×C22⋊(C43⋊C8)C2211yescharacteristic
33C2×C22⋊(C43⋊C8)C2211yescharacteristic
34C2×#13063236C2211yescharacteristic
35C2×C4×C43⋊C8C2211yescharacteristic
36#14582805C2211yescharacteristic
37#14582797C2211yescharacteristic
38#14582794—21no—
39#14582793—21no—
40#14582787—21no—
41#14582780—21no—
42#14582759C2211yescharacteristic
43C4×C4⋊Dic43C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C43×#541—24no—
51C43×#541—24no—
52C2×C4⋊Q8×C43C2211yescharacteristic
53C2×#126×C43—21no—
54C2×#126×C43—21no—
55C2×#125×C43—21no—
56C2×#125×C43—21no—
57C2×#125×C43C2211yescharacteristic
58C2×C22⋊Q8×C43C2211yescharacteristic
59C2×C22⋊Q8×C43C2211yescharacteristic
60C2×C4×Q8×C43C2211yescharacteristic
61C2×C4×Q8×C43C2211yescharacteristic
62C2×#117×C43C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C2×#10621885—22no—
65C2×#10621885—22no—
66C2×#10621885—22no—
67C2×#10621885—22no—
68C2×#10621885—22no—
69C2×#10621885—22no—
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74#13063304—22no—
75#13063304—22no—
76C4×Dic86—22no—
77C4×Dic86—22no—
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C4×Dic43—21no—
87C2×C4×Dic43—21no—
88#13063258—22no—
89#13063256—22no—
90#13063249—22no—
91#13063249—22no—
92#13063249—22no—
93#13063249—22no—
94#13063249—22no—
95#13063249—22no—
96#13063248—22no—
97#13063248—22no—
98C22⋊(C43⋊C8)—22no—
99C22⋊(C43⋊C8)—22no—
100#13063236—22no—
101C4×C43⋊C8—22no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C22×Q8×C43C2311yescharacteristic
108C22×Q8×C43C2311yescharacteristic
109C23×C4×C43C2311yescharacteristic
110C4⋊Q8×C43—22no—
111C4⋊Q8×C43—22no—
112#126×C43—28no—
113#126×C43—28no—
114#125×C43—28no—
115#125×C43—28no—
116#125×C43—22no—
117#125×C43—22no—
118C22⋊Q8×C43—22no—
119C22⋊Q8×C43—22no—
120C22⋊Q8×C43—22no—
121C22⋊Q8×C43—22no—
122C4×Q8×C43—22no—
123C4×Q8×C43—22no—
124C4×Q8×C43D414yes—
125C4×Q8×C43D414yes—
126#117×C43—22no—
127#117×C43—22no—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43—21no—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43—21no—
135C2×C4⋊C4×C43—21no—
136C2×C4⋊C4×C43D411yescharacteristic
137C2×C4⋊C4×C43D411yescharacteristic
138C2×C4⋊C4×C43C2311yescharacteristic
139C2×C4⋊C4×C43C2311yescharacteristic
140C2×C22⋊C4×C43—21no—
141C2×C22⋊C4×C43—21no—
142C2×C22⋊C4×C43D411yescharacteristic
143C2×C22⋊C4×C43D411yescharacteristic
144C2×C42×C43—21no—
145C2×C42×C43—21no—
146C2×C42×C43C2311yescharacteristic
147C2×C42×C43C2311yescharacteristic
148C24×C43C2×D411yescharacteristic
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43C2×D412yes—
160C2×Q8×C43C2×D412yes—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43C2411yescharacteristic
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43—21no—
180C22×Dic43—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86#4112yes—
187C4⋊C4×C43—24no—
188C4⋊C4×C43—24no—
189C4⋊C4×C43—24no—
190C4⋊C4×C43—24no—
191C4⋊C4×C43—24no—
192C4⋊C4×C43—24no—
193C4⋊C4×C43—24no—
194C4⋊C4×C43—24no—
195C4⋊C4×C43—22no—
196C4⋊C4×C43—22no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43C2×D412yes—
200C4⋊C4×C43C2×D412yes—
201C22⋊C4×C43—24no—
202C22⋊C4×C43—24no—
203C22⋊C4×C43—22no—
204C22⋊C4×C43—22no—
205C42×C43—24no—
206C42×C43—24no—
207C42×C43—21no—
208C42×C43—21no—
209C42×C43C2×D412yes—
210C42×C43C2×D412yes—
211C22⋊Dic43—24no—
212C22⋊Dic43—81no—
213#10621885—28no—
214#10621885—28no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43#4112yes—
221Dic43⋊C4—24no—
222Dic43⋊C4—42no—
223Dic43⋊C4—81no—
224C4×Dic43—42no—
225C4×Dic43—81no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—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—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8#4112yes—
237C2×C43⋊C8#4112yes—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43C22×D411yescharacteristic
246Q8×C43—22no—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252Q8×C43—41no—
253Q8×C43—41no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
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—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43#12012yes—
284C2×C4×C43#12012yes—
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43C2×#4111yescharacteristic
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303Dic86—22no—
304Dic86—22no—
305Dic86—41no—
306Dic86—41no—
307C43⋊C8—22no—
308C43⋊C8—22no—
309C43⋊C8—41no—
310C43⋊C8—41no—
311#23586—431nomaximal, Sylow
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43C2×#12011yescharacteristic
320C22×C43#52511yescharacteristic
321C22×C43#53211yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C22×C43#57811yescharacteristic
325C22×C43#57811yescharacteristic
326C4×C43—22no—
327C4×C43—22no—
328C4×C43—41no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—41no—
332C4×C43—42no—
333C4×C43—41no—
334C4×C43—42no—
335C4×C43#52511yescharacteristic
336C4×C43#52511yescharacteristic
337C4×C43#53211yescharacteristic
338C4×C43#53211yescharacteristic
339Dic43—42no—
340Dic43—42no—
341Dic43—81no—
342Dic43—81no—
343C2×#541D4311yescharacteristic
344C2×#441—431no—
345C2×C4×Q16—431no—
346#2323—431no—
347#2059—431no—
348#2043—431no—
349#2036—431no—
350#2035—431no—
351#2026—431no—
352#2016—431no—
353#2001—431no—
354#2001—431no—
355#1763—431no—
356C4×#103—431no—
357#1750—431no—
358C2×C43—81no—
359C2×C43#238811yescharacteristic
360C2×C43#301111yescharacteristic
361C2×C43#301311yescharacteristic
362C2×C43#312011yescharacteristic
363C2×C43#312711yescharacteristic
364C2×C43#317711yescharacteristic
365C2×C43#317811yescharacteristic
366C22×Q16—431no—
367C22×Q16—431no—
368#541—24no—
369#541—24no—
370C2×C4⋊Q8C2×D4311yescharacteristic
371C2×#126—21no—
372C2×#126—21no—
373C2×#125—21no—
374C2×#125—21no—
375C2×#125C2×D4311yescharacteristic
376C2×C22⋊Q8—431no—
377C2×C22⋊Q8C2×D4311yescharacteristic
378C2×C22⋊Q8C2×D4311yescharacteristic
379C2×C4×Q8—431no—
380C2×C4×Q8C2×D4311yescharacteristic
381C2×C4×Q8C2×D4311yescharacteristic
382C2×#117C2×D4311yescharacteristic
383#441—864no—
384C4×Q16—864no—
385C2×#107—431no—
386C2×#106—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×C22⋊C8—431no—
396C2×C22⋊C8—431no—
397C2×#97—431no—
398C2×C4×C8—431no—
399#391—431no—
400#389—431no—
401#389—861no—
402#388—861no—
403#388—861no—
404#387—861no—
405#380—431no—
406C4×C4⋊C4—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#336—431no—
412#336—431no—
413C43#2358611yescharacteristic, complemented, Sylow
414C22×Q8—431no—
415C22×Q8C22×D4311yescharacteristic
416C22×Q8C22×D4311yescharacteristic
417C23×C4C22×D4311yescharacteristic
418C2×Q16—862no—
419C2×Q16—862no—
420C2×Q16—862no—
421C2×Q16—862no—
422C2×Q16—862no—
423C2×Q16—862no—
424C22×C8—431no—
425C22×C8—431no—
426C22×C8—431no—
427C22×C8—431no—
428C4⋊Q8—22no—
429C4⋊Q8—22no—
430#126—28no—
431#126—28no—
432#125—28no—
433#125—28no—
434#125—22no—
435#125—22no—
436C22⋊Q8—22no—
437C22⋊Q8—22no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—862no—
441C22⋊Q8—862no—
442C4×Q8—22no—
443C4×Q8—22no—
444C4×Q8—862no—
445C4×Q8—862no—
446C4×Q8C22⋊D4314yes—
447C4×Q8C22⋊D4314yes—
448#117—22no—
449#117—22no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4C22⋊D4311yescharacteristic
465C2×C4⋊C4C22⋊D4311yescharacteristic
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4C22⋊D4311yescharacteristic
473C2×C22⋊C4C22⋊D4311yescharacteristic
474C2×C42—21no—
475C2×C42—21no—
476C2×C42—861no—
477C2×C42—861no—
478C2×C42C22×D4311yescharacteristic
479C2×C42C22×D4311yescharacteristic
480#107—862no—
481#106—862no—
482#103—862no—
483#103—862no—
484#103—862no—
485#103—862no—
486#103—862no—
487#103—862no—
488#103—862no—
489#103—862no—
490C22⋊C8—862no—
491C22⋊C8—862no—
492#97—862no—
493C4×C8—862no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499C24C2×C22⋊D4311yescharacteristic
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—432no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8C2×C22⋊D4312yes—
517C2×Q8C2×C22⋊D4312yes—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4C2×C22⋊D4311yescharacteristic
533C22×C4C2×C22⋊D4311yescharacteristic
534C22×C4C2×C22⋊D4311yescharacteristic
535C22×C4C2×C22⋊D4311yescharacteristic
536C22×C4C2×C22⋊D4311yescharacteristic
537C22×C4C23×D4311yescharacteristic
538Q16—868no—
539Q16—868no—
540C2×C8—432no—
541C2×C8—432no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—432no—
565C4⋊C4—864no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—3441no—
572C4⋊C4—1722no—
573C4⋊C4C2×C22⋊D4312yes—
574C4⋊C4C2×C22⋊D4312yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—864no—
580C22⋊C4—3441no—
581C42—24no—
582C42—24no—
583C42—21no—
584C42—21no—
585C42—3441no—
586C42—1722no—
587C42C2×C22⋊D4312yes—
588C42C2×C22⋊D4312yes—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23C22×C22⋊D4311yescharacteristic
597Q8—22no—
598Q8—22no—
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603Q8—41no—
604Q8—41no—
605Q8—862no—
606Q8—862no—
607Q8—1721no—
608Q8—1721no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
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—862no—
639C2×C4—862no—
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×C4—1721no—
649C2×C4—1721no—
650C2×C4#1306329412yes—
651C2×C4#1306329412yes—
652C2×C4C22×C22⋊D4311yescharacteristic
653C2×C4C22×C22⋊D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4#41×D4311yescharacteristic
656C2×C4#41×D4311yescharacteristic
657C2×C4#41×D4311yescharacteristic
658C8—862no—
659C8—862no—
660C8—1721no—
661C8—1721no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22C2×#1306329411yescharacteristic
670C22#1458340611yescharacteristic
671C22#1458344511yescharacteristic
672C22#1458370711yescharacteristic
673C22#1458371411yescharacteristic
674C22#1458371411yescharacteristic
675C22#1458371411yescharacteristic
676C4—22no—
677C4—22no—
678C4—41no—
679C4—42no—
680C4—42no—
681C4—41no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—3441no—
686C4—3441no—
687C4—1722no—
688C4—1722no—
689C4#1458340611yescharacteristic
690C4#1458340611yescharacteristic
691C4#1458344511yescharacteristic
692C4#1458344511yescharacteristic
693C2—81no—
694C2#1913780811yescharacteristic
695C2#1914389011yescharacteristic
696C2#1914391011yescharacteristic
697C2#1914480311yescharacteristic
698C2#1914489011yescharacteristic
699C2#1914524811yescharacteristic
700C2#1914526511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#541C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
hypercenterC2×#541D43
hypocenterC43#23586
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. C2×#14583004C2semidirect
2. C2×C4×#10621885C2semidirect
4. #19135930C2semidirect
5. #19135838C2semidirect
8. #19135743C2semidirect
9. #19135695C2semidirect
12. #19134425C2semidirect
13. C4×#13063249C2semidirect
413. C43#23586semidirect

Maximal subgroups

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

subgroupindex
C2×#145830042
C2×C4×#106218852
#191372772
#191359302
#191358382
#191357952
#191357882
#191357432
#191356952
#191356032
#191344252
C4×#130632492
#191343612
C2×C43×#5412
#2358643