Finite Group Databasebeta

← #25140502

Subgroups — #25140502

Order 11008.

966 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583061C211yesmaximal, characteristic
2C2×C4×#10621885C211yesmaximal, characteristic, complemented
3#19138120C211yesmaximal, characteristic, complemented
4#19136123C211yesmaximal, characteristic, complemented
5#19136021C211yesmaximal, characteristic, complemented
6#19135912C211yesmaximal, characteristic, complemented
7#19135798C211yesmaximal, characteristic, complemented
8#19135281C211yesmaximal, characteristic, complemented
9#19135203C211yesmaximal, characteristic, complemented
10#19134953C211yesmaximal, characteristic, complemented
11#19134936C211yesmaximal, characteristic, complemented
12#19134849C211yesmaximal, characteristic, complemented
13#19134600C211yesmaximal, characteristic, complemented
14#19134535C211yesmaximal, characteristic
15C43×#2341C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×C4×Dic86C2211yescharacteristic
20#14583061—24no—
21C4×#10621885—24no—
22C2×#13063258C2211yescharacteristic
23C2×#13063258C2211yescharacteristic
24C2×C4⋊(C43⋊C8)C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×C22⋊(C43⋊C8)C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×C4×C43⋊C8C2211yescharacteristic
36#14582835—21no—
37#14582833—21no—
38#14582805C2211yescharacteristic
39#14582797C2211yescharacteristic
40#14582792—21no—
41#14582782—21no—
42#14582769C2211yescharacteristic
43#14582759C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C22×#41×C43C2211yescharacteristic
51C2×C4×Q8×C43C2211yescharacteristic
52C2×C4×Q8×C43C2211yescharacteristic
53C43×#390—21no—
54C43×#390—21no—
55C43×#390C2211yescharacteristic
56C43×#390C2211yescharacteristic
57C43×#380—21no—
58C43×#380C2211yescharacteristic
59C4×C22⋊C4×C43—21no—
60C4×C22⋊C4×C43C2211yescharacteristic
61C22×Dic86C2311yescharacteristic
62C2×#10621885—22no—
63C2×#10621885—22no—
64C2×#10621885D414yes—
65C2×#10621883—22no—
66C2×#10621883—22no—
67C2×#10621883—41no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063304—22no—
73#13063304—41no—
74C4×Dic86—22no—
75C4×Dic86—41no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43—21no—
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—
87#13063258—22no—
88#13063258—41no—
89C4⋊(C43⋊C8)—41no—
90#13063249—22no—
91#13063249—22no—
92#13063249—22no—
93#13063248—22no—
94#13063248—41no—
95#13063246—22no—
96#13063246—22no—
97#13063246—41no—
98C22⋊(C43⋊C8)—22no—
99C22⋊(C43⋊C8)—41no—
100C4×C43⋊C8—22no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C2×#41×C43—22no—
106C2×#41×C43—22no—
107C2×#41×C43—22no—
108C2×#41×C43—22no—
109C2×#41×C43—41no—
110C2×#41×C43—41no—
111C22×Q8×C43C2311yescharacteristic
112C22×D4×C43—21no—
113C22×D4×C43C2311yescharacteristic
114C23×C4×C43—21no—
115C23×C4×C43C2311yescharacteristic
116C4×Q8×C43—22no—
117C4×Q8×C43—22no—
118C4×Q8×C43—41no—
119C4×Q8×C43—41no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43—21no—
126C2×C22⋊C4×C43—21no—
127C2×C22⋊C4×C43—21no—
128C2×C22⋊C4×C43—21no—
129C2×C22⋊C4×C43D411yescharacteristic
130C2×C22⋊C4×C43D411yescharacteristic
131C2×C42×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134C2×C42×C43C2311yescharacteristic
135#95×C43—21no—
136#95×C43D411yescharacteristic
137#95×C43D411yescharacteristic
138C24×C43—21no—
139C24×C43C2×D411yescharacteristic
140#41×C43—44no—
141#41×C43—44no—
142#41×C43—44no—
143#41×C43—44no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43C2×D412yes—
148C2×Q8×C43#4112yes—
149C2×Q8×C43#4112yes—
150C2×D4×C43—24no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—42no—
157C2×D4×C43—42no—
158C2×D4×C43#4112yes—
159C22×C4×C43—24no—
160C22×C4×C43—21no—
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—42no—
170C22×C4×C43—42no—
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×Dic86C2×D412yes—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—42no—
192C4⋊C4×C43—42no—
193C22⋊C4×C43—22no—
194C22⋊C4×C43—22no—
195C22⋊C4×C43—42no—
196C22⋊C4×C43—42no—
197C22⋊C4×C43—81no—
198C22⋊C4×C43—81no—
199C22⋊C4×C43—81no—
200C42×C43—21no—
201C42×C43—21no—
202C42×C43—21no—
203C42×C43—21no—
204C42×C43—42no—
205C42×C43—42no—
206C22⋊Dic43—42no—
207C22⋊Dic43—81no—
208#10621885—28no—
209#10621883—44no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—42no—
217C4⋊Dic43—81no—
218Dic43⋊C4—42no—
219Dic43⋊C4—42no—
220Dic43⋊C4—81no—
221C4×Dic43—42no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
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⋊C8C2×D412yes—
234C23×C43—21no—
235C23×C43—22no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43C22×D411yescharacteristic
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—22no—
252Q8×C43#12314yes—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—48no—
256D4×C43—41no—
257D4×C43—41no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—22no—
263C2×C4×C43—21no—
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—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—48no—
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—41no—
284C2×C4×C43—41no—
285C2×C4×C43#13512yes—
286C2×C4×C43#13712yes—
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43C2×#4111yescharacteristic
291C2×C4×C43H(5,𝔽2)11yescharacteristic
292C2×C4×C43H(5,𝔽2)11yescharacteristic
293C2×Dic43—22no—
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—
303C2×Dic43—41no—
304C2×Dic43—41no—
305Dic86—22no—
306Dic86—22no—
307Dic86—41no—
308Dic86—41no—
309C43⋊C8—22no—
310C43⋊C8—41no—
311C43⋊C8—41no—
312C43⋊C8—41no—
313#24904—431nomaximal, Sylow
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—42no—
317C22×C43—41no—
318C22×C43—42no—
319C22×C43—41no—
320C22×C43—42no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43#52511yescharacteristic
329C22×C43D4211yescharacteristic
330C22×C43#54611yescharacteristic
331C22×C43C2×#13511yescharacteristic
332C22×C43C2×#13711yescharacteristic
333C22×C43#57611yescharacteristic
334C22×C43#57811yescharacteristic
335C4×C43—24no—
336C4×C43—22no—
337C4×C43—22no—
338C4×C43—41no—
339C4×C43—41no—
340C4×C43—41no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43C2×#12311yescharacteristic
344C4×C43#53811yescharacteristic
345C4×C43#54611yescharacteristic
346C4×C43#55111yescharacteristic
347Dic43—42no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351C2×#452—431no—
352C2×C4×Q16—431no—
353#2423—431no—
354#2341D4311yescharacteristic
355#2093—431no—
356#2075—431no—
357#2055—431no—
358#2036—431no—
359#1934—431no—
360#1923—431no—
361#1880—431no—
362#1878—431no—
363#1863—431no—
364#1803—431no—
365#1788—431no—
366C2×C43—81no—
367C2×C43—82no—
368C2×C43#241811yescharacteristic
369C2×C43#310711yescharacteristic
370C2×C43#312411yescharacteristic
371C2×C43#327011yescharacteristic
372C2×C43#328711yescharacteristic
373C2×C43#330011yescharacteristic
374C2×C43#333311yescharacteristic
375C22×#41C2×D4311yescharacteristic
376C22×Q16—431no—
377C22×SD16—431no—
378C2×C22⋊Q8—431no—
379C2×C4×Q8—431no—
380C2×C4×Q8C2×D4311yescharacteristic
381C2×C4×Q8C2×D4311yescharacteristic
382#452—864no—
383C4×Q16—864no—
384C2×#107—431no—
385C2×#107—431no—
386C2×C4⋊C8—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#102—431no—
393C2×#102—431no—
394C2×#102—431no—
395C2×C22⋊C8—431no—
396C2×C22⋊C8—431no—
397C2×C4×C8—431no—
398#399—861no—
399#398—861no—
400#391—431no—
401#390—21no—
402#390—21no—
403#390C2×D4311yescharacteristic
404#390C2×D4311yescharacteristic
405#389—431no—
406#388—861no—
407#387—861no—
408#384—431no—
409#380—21no—
410#380—431no—
411#380C2×D4311yescharacteristic
412C4×C22⋊C4—21no—
413C4×C22⋊C4C2×D4311yescharacteristic
414#340—431no—
415#340—431no—
416#340—431no—
417#340—431no—
418#336—431no—
419#336—431no—
420C43#2490411yescharacteristic, complemented, Sylow
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8—431no—
428C22×Q8C22×D4311yescharacteristic
429C22×D4—21no—
430C22×D4C22×D4311yescharacteristic
431C23×C4—21no—
432C23×C4C22×D4311yescharacteristic
433C2×Q16—434no—
434C2×Q16—862no—
435C2×Q16—862no—
436C2×SD16—862no—
437C2×SD16—862no—
438C2×SD16—1721no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8—431no—
442C22×C8—431no—
443C22⋊Q8—862no—
444C22⋊Q8—1721no—
445C4×Q8—22no—
446C4×Q8—22no—
447C4×Q8—41no—
448C4×Q8—41no—
449C4×Q8—862no—
450C4×Q8—1721no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4C22⋊D4311yescharacteristic
471C2×C22⋊C4C22⋊D4311yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42—861no—
475C2×C42C22×D4311yescharacteristic
476C2×C42C22×D4311yescharacteristic
477#107—862no—
478#107—1721no—
479C4⋊C8—1721no—
480#103—862no—
481#103—862no—
482#103—862no—
483#103—862no—
484#103—1721no—
485#102—862no—
486#102—862no—
487#102—1721no—
488C22⋊C8—862no—
489C22⋊C8—1721no—
490C4×C8—862no—
491#95—21no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95C22⋊D4311yescharacteristic
497#95C22⋊D4311yescharacteristic
498C24—21no—
499C24C2×C22⋊D4311yescharacteristic
500#41—44no—
501#41—44no—
502#41—44no—
503#41—44no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—432no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8#1062189812yes—
514C2×Q8D4×D4312yes—
515C2×Q8#1062190012yes—
516C2×D4—24no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1062189812yes—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4C2×C22⋊D4311yescharacteristic
542C22×C4C2×C22⋊D4311yescharacteristic
543C22×C4C2×C22⋊D4311yescharacteristic
544C22×C4C2×C22⋊D4311yescharacteristic
545C22×C4C2×C22⋊D4311yescharacteristic
546C22×C4C23×D4311yescharacteristic
547Q16—868no—
548SD16—1724no—
549C2×C8—432no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—3441no—
574C4⋊C4—3441no—
575C4⋊C4—1722no—
576C4⋊C4—1722no—
577C4⋊C4—1722no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—81no—
583C22⋊C4—81no—
584C22⋊C4—81no—
585C22⋊C4—3441no—
586C22⋊C4—1722no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—42no—
592C42—42no—
593C42—1722no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23C22×C22⋊D4311yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—862no—
613Q8—862no—
614Q8—1721no—
615Q8—1721no—
616Q8#1306330714yes—
617D4—22no—
618D4—22no—
619D4—48no—
620D4—41no—
621D4—41no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—862no—
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#1306334512yes—
662C2×C4#1306335512yes—
663C2×C4C2×D4×D4311yescharacteristic
664C2×C4C2×#1062190011yescharacteristic
665C2×C4C2×#1062189811yescharacteristic
666C2×C4C2×#1062189811yescharacteristic
667C2×C4#1306337011yescharacteristic
668C2×C4#1306337011yescharacteristic
669C8—862no—
670C8—1721no—
671C8—1721no—
672C8—1721no—
673C22—42no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22#1458341011yescharacteristic
688C22D4×C22⋊D4311yescharacteristic
689C22#1458354311yescharacteristic
690C22C2×#1306334511yescharacteristic
691C22C2×#1306335511yescharacteristic
692C22#1458370211yescharacteristic
693C22#1458371411yescharacteristic
694C4—24no—
695C4—22no—
696C4—22no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—3441no—
703C4—3441no—
704C4—3441no—
705C4—1722no—
706C4C2×#1306330711yescharacteristic
707C4#1458348711yescharacteristic
708C4#1458353911yescharacteristic
709C4#1458357511yescharacteristic
710C2—81no—
711C2—82no—
712C2#1913805711yescharacteristic
713C2#1914466611yescharacteristic
714C2#1914485711yescharacteristic
715C2#1914616111yescharacteristic
716C2#1914635111yescharacteristic
717C2#1914648211yescharacteristic
718C2#1914693311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2341C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
hypercenter#2341D43
hypocenterC43#24904
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621885C2semidirect
3. #19138120C2semidirect
4. #19136123C2semidirect
5. #19136021C2semidirect
6. #19135912C2semidirect
7. #19135798C2semidirect
8. #19135281C2semidirect
9. #19135203C2semidirect
10. #19134953C2semidirect
11. #19134936C2semidirect
12. #19134849C2semidirect
13. #19134600C2semidirect
420. C43#24904semidirect

Maximal subgroups

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

subgroupindex
C2×#145830612
C2×C4×#106218852
#191381202
#191361232
#191360212
#191359122
#191357982
#191352812
#191352032
#191349532
#191349362
#191348492
#191346002
#191345352
C43×#23412
#2490443