Finite Group Databasebeta

← #25140417

Subgroups — #25140417

Order 11008.

1016 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583040C211yesmaximal, characteristic
2C2×C4×#10621873C211yesmaximal, characteristic, complemented
3#19138109C211yesmaximal, characteristic
4C22⋊C4×Dic86C211yesmaximal, characteristic, complemented
5#19136137C211yesmaximal, characteristic, complemented
6#19136028C211yesmaximal, characteristic, complemented
7#19135913C211yesmaximal, characteristic, complemented
8#19135785C211yesmaximal, characteristic
9#19135271C211yesmaximal, characteristic, complemented
10#19134949C211yesmaximal, characteristic, complemented
11#19134928C211yesmaximal, characteristic, complemented
12#19134866C211yesmaximal, characteristic, complemented
13#19134601C211yesmaximal, characteristic, complemented
14#19134531C211yesmaximal, characteristic, complemented
15C43×#1923C211yesmaximal, characteristic, complemented
16C23×Dic86C2211yescharacteristic
17C22×#10621873C2211yescharacteristic
18C22×#10621873C2211yescharacteristic
19C2×#13063307—21no—
20C2×#13063299C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×C4×Dic86C2211yescharacteristic
23C2×C4×D172C2211yescharacteristic
24#14583040—24no—
25C4×#10621873—24no—
26C2×#13063257C2211yescharacteristic
27C2×#13063257C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36#14582826—21no—
37#14582815—21no—
38#14582805C2211yescharacteristic
39#14582805C2211yescharacteristic
40#14582803—21no—
41#14582803—21no—
42#14582801C2211yescharacteristic
43#14582797C2211yescharacteristic
44#14582773—21no—
45#14582769C2211yescharacteristic
46#14582759C2211yescharacteristic
47#14582759C2211yescharacteristic
48#14582757—21no—
49C22⋊C4×Dic43—21no—
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54C2×C4⋊C8×C43C2211yescharacteristic
55C2×C22⋊C8×C43C2211yescharacteristic
56C2×C22⋊C8×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C4×C22⋊C4×C43C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×Dic86—21no—
62C22×Dic86—22no—
63C22×Dic86—22no—
64C22×Dic86—22no—
65C22×Dic86—22no—
66C22×Dic86—41no—
67C22×Dic86—41no—
68C22×Dic86C2311yescharacteristic
69C22×Dic86C2311yescharacteristic
70C22×D172C2311yescharacteristic
71C22×C22⋊D43—21no—
72C23×Dic43—21no—
73C22×C4×D43—21no—
74C2×#10621873—22no—
75C2×#10621873—22no—
76C2×#10621873—22no—
77C2×#10621873—22no—
78C2×#10621873—41no—
79C2×#10621873D414yes—
80#13063307—44no—
81#13063299—22no—
82#13063299—41no—
83C4×Dic86—22no—
84C4×Dic86—22no—
85C4×Dic86—41no—
86C4×Dic86—41no—
87C4×D172—22no—
88C4×D172—41no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×C22⋊Dic43—21no—
100C2×C22⋊Dic43—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107#13063257—22no—
108#13063257—41no—
109#13063250—22no—
110#13063250—22no—
111#13063250—22no—
112#13063250—22no—
113#13063250—22no—
114#13063250—41no—
115#13063247—22no—
116#13063247—41no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C23×C4×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129C2×C22⋊C4×C43D411yescharacteristic
130C2×C22⋊C4×C43D411yescharacteristic
131C2×C42×C43C2311yescharacteristic
132C2×C42×C43C2311yescharacteristic
133C4⋊C8×C43—41no—
134C22⋊C8×C43—22no—
135C22⋊C8×C43—41no—
136C4×C8×C43—22no—
137#95×C43D411yescharacteristic
138#95×C43D411yescharacteristic
139C24×C43C2×D411yescharacteristic
140C23×D43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2411yescharacteristic
153C2×C22⋊D43—42no—
154C2×C22⋊D43—42no—
155C2×C22⋊D43—81no—
156C22×Dic43—24no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—42no—
165C22×Dic43—42no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172C2×D412yes—
172C2×C4×D43—42no—
173C2×C4×D43—42no—
174C2×C4×D43—81no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—24no—
183C2×Dic86—21no—
184C2×Dic86—44no—
185C2×Dic86—44no—
186C2×Dic86—44no—
187C2×Dic86—42no—
188C2×Dic86—42no—
189C2×Dic86—44no—
190C2×Dic86C2×D412yes—
191C2×Dic86#4112yes—
192C2×Dic86#4112yes—
193C2×Dic86#4112yes—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43C2×D412yes—
206C22⋊C4×C43—41no—
207C22⋊C4×C43SD1614yescomplemented
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—21no—
211C42×C43—21no—
212C22⋊Dic43—42no—
213C22⋊Dic43—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—42no—
217(C2×D43)⋊C4—42no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227C4⋊Dic43—21no—
228C4⋊Dic43—42no—
229C4⋊Dic43—81no—
230Dic43⋊C4—42no—
231Dic43⋊C4—42no—
232Dic43⋊C4—42no—
233C4×Dic43—42no—
234C4×Dic43—42no—
235#10621873—28no—
236#10621873—44no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43C2×SD1612yes—
244C23×C43C22×D411yescharacteristic
245C22×D43—22no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
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—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43C2×SD1612yes—
270C2×C4×C43C2×SD1612yes—
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C22⋊D43—84no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—48no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
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—41no—
299C2×Dic43—41no—
300D172—22no—
301D172—22no—
302D172—41no—
303D172—41no—
304C4×D43—84no—
305Dic86—22no—
306Dic86—22no—
307Dic86—22no—
308Dic86—22no—
309Dic86—22no—
310Dic86—48no—
311Dic86—41no—
312Dic86—41no—
313Dic86#12314yescomplemented
314C8×C43—22no—
315C8×C43—41no—
316C8×C43—41no—
317C8×C43—41no—
318#24898—431nomaximal, Sylow
319C22×C43—22no—
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43#52511yescharacteristic
327C22×C43D4211yescharacteristic
328C22×C43#54611yescharacteristic
329C22×C43C22×SD1611yescharacteristic
330C22×C43#57511yescharacteristic
331C22×C43#57711yescharacteristic
332C22×C43#57811yescharacteristic
333C2×D43—42no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—81no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—81no—
340C4×C43—22no—
341C4×C43—22no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43—41no—
345C4×C43C2×#12311yescharacteristic
346C4×C43#53811yescharacteristic
347C4×C43#54611yescharacteristic
348C4×C43#55111yescharacteristic
349Dic43—24no—
350Dic43—42no—
351Dic43—81no—
352Dic43—81no—
353Dic43—81no—
354Dic43—81no—
355Dic43—81no—
356C2×#448—431no—
357C2×C4×SD16—431no—
358#2422—431no—
359Q8×C22⋊C4—431no—
360#2096—431no—
361#2077—431no—
362#2055—431no—
363#2034—431no—
364#1933—431no—
365#1923D4311yescharacteristic, complemented
366#1880—431no—
367#1877—431no—
368#1865—431no—
369#1803—431no—
370#1787—431no—
371C2×C43—42no—
372C2×C43#241811yescharacteristic
373C2×C43#310311yescharacteristic
374C2×C43#312111yescharacteristic
375C2×C43#326911yescharacteristic
376C2×C43D4×SD1611yescharacteristic
377C2×C43#329811yescharacteristic
378C2×C43#332611yescharacteristic
379D43—82no—
380C23×Q8—431no—
381C22×SD16—431no—
382C22×SD16—431no—
383C2×#123—861no—
384C2×#121—431no—
385C2×C4×Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×D4—431no—
388#448—864no—
389C4×SD16—864no—
390C2×#106—431no—
391C2×#106—431no—
392C2×C4⋊C8C2×D4311yescharacteristic
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×C22⋊C8C2×D4311yescharacteristic
402C2×C22⋊C8C2×D4311yescharacteristic
403C2×C4×C8C2×D4311yescharacteristic
404#397—861no—
405#394—861no—
406#391—431no—
407#391—431no—
408#391—861no—
409#391—861no—
410#390—431no—
411#389—431no—
412#385—861no—
413#384—431no—
414#380—431no—
415#380—431no—
416#380—861no—
417C4×C22⋊C4—861no—
418C4×C22⋊C4C2×D4311yescharacteristic
419#340—431no—
420#340—431no—
421#340—431no—
422#340—431no—
423#336C2×D4311yescharacteristic
424#336C2×D4311yescharacteristic
425C43#2489811yescharacteristic, complemented, Sylow
426C22×Q8—431no—
427C22×Q8—431no—
428C22×Q8—862no—
429C22×Q8—862no—
430C22×Q8—862no—
431C22×Q8—862no—
432C22×Q8—861no—
433C22×Q8—1721no—
434C22×Q8—1721no—
435C22×D4—431no—
436C22×D4—861no—
437C23×C4—861no—
438C23×C4—861no—
439C23×C4C22×D4311yescharacteristic
440C2×SD16—434no—
441C2×SD16—862no—
442C2×SD16—862no—
443C2×SD16—862no—
444C2×SD16—862no—
445C2×SD16—1721no—
446C22×C8C22×D4311yescharacteristic
447C22×C8C22×D4311yescharacteristic
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450#123—1724no—
451#121—862no—
452#121—1721no—
453C4×Q8—862no—
454C4×Q8—862no—
455C4×Q8—1721no—
456C4×Q8—1721no—
457C4×D4—862no—
458C4×D4—1721no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4D17211yescharacteristic
476C2×C22⋊C4D17211yescharacteristic
477C2×C42—861no—
478C2×C42—861no—
479C2×C42C22×D4311yescharacteristic
480C2×C42C22×D4311yescharacteristic
481#106—862no—
482#106—1721no—
483C4⋊C8—41no—
484#103—862no—
485#103—862no—
486#103—862no—
487#103—862no—
488#103—862no—
489#103—1721no—
490#102—862no—
491#102—1721no—
492C22⋊C8—22no—
493C22⋊C8—41no—
494C4×C8—22no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95D17211yescharacteristic
503#95D17211yescharacteristic
504C24—861no—
505C24C2×D17211yescharacteristic
506C2×Q8—432no—
507C2×Q8—432no—
508C2×Q8—432no—
509C2×Q8—432no—
510C2×Q8—864no—
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—1722no—
520C2×Q8—1722no—
521C2×Q8—1724no—
522C2×Q8—1724no—
523C2×Q8—1724no—
524C2×Q8—1724no—
525C2×D4—432no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4—3441no—
532C2×D4—1722no—
533C2×D4—1722no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—861no—
541C22×C4—864no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—3441no—
549C22×C4—1722no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4C2×D17211yescharacteristic
554C22×C4C2×D17211yescharacteristic
555C22×C4C2×D17211yescharacteristic
556C22×C4C2×D17211yescharacteristic
557C22×C4C2×D17211yescharacteristic
558C22×C4C23×D4311yescharacteristic
559SD16—868no—
560SD16—1724no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8D4×D4312yes—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—3441no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4—1722no—
588C22⋊C4—41no—
589C22⋊C4—1722no—
590C22⋊C4—1722no—
591C22⋊C4—1722no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C22⋊C4#1062187314yescomplemented
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—1722no—
601C42—1722no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—862no—
609C23—1721no—
610C23—1721no—
611C23—1721no—
612C23—1721no—
613C23—1721no—
614C23—1721no—
615C23C2×#1062187312yes—
616C23C22×D17211yescharacteristic
617Q8—434no—
618Q8—862no—
619Q8—862no—
620Q8—862no—
621Q8—862no—
622Q8—862no—
623Q8—1728no—
624Q8—1721no—
625Q8—1721no—
626D4—862no—
627D4—862no—
628D4—3444no—
629D4—1721no—
630D4—1721no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—3444no—
653C2×C4—1728no—
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—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4C2×#1062187312yes—
672C2×C4C2×#1062187312yes—
673C2×C4C2×D4×D4311yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C2×C4#41×D4311yescharacteristic
676C2×C4#41×D4311yescharacteristic
677C2×C4#1306337011yescharacteristic
678C2×C4#1306337111yescharacteristic
679C8—22no—
680C8—41no—
681C8—41no—
682C8—41no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—3441no—
691C22—3441no—
692C22—3441no—
693C22—3441no—
694C22—1722no—
695C22—1722no—
696C22—1722no—
697C22#1458341111yescharacteristic
698C22D4×D17211yescharacteristic
699C22#1458354411yescharacteristic
700C22C22×#1062187311yescharacteristic
701C22#1458369911yescharacteristic
702C22#1458371111yescharacteristic
703C22#1458371611yescharacteristic
704C4—22no—
705C4—22no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—864no—
710C4—3441no—
711C4—3441no—
712C4—3441no—
713C4—3441no—
714C4—3441no—
715C4—1722no—
716C4#123×D4311yescharacteristic
717C4#1458348311yescharacteristic
718C4#1458354611yescharacteristic
719C4#1458357411yescharacteristic
720C2—42no—
721C2—3442no—
722C2#1913806211yescharacteristic
723C2#1914462711yescharacteristic
724C2#1914482611yescharacteristic
725C2#1914615511yescharacteristic
726C2D4×#1062187311yescharacteristic
727C2#1914646111yescharacteristic
728C2#1914685011yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1923C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
hypercenter#1923D43
hypocenterC43#24898
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621873C2semidirect
4. C22⋊C4×Dic86C2semidirect
5. #19136137C2semidirect
6. #19136028C2semidirect
7. #19135913C2semidirect
9. #19135271C2semidirect
10. #19134949C2semidirect
11. #19134928C2semidirect
12. #19134866C2semidirect
13. #19134601C2semidirect
14. #19134531C2semidirect
15. C43×#1923C2semidirect
207. C22⋊C4×C43SD16semidirect
313. Dic86#123semidirect
365. #1923D43semidirect
425. C43#24898semidirect
595. C22⋊C4#10621873semidirect

Maximal subgroups

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

subgroupindex
C2×#145830402
C2×C4×#106218732
#191381092
C22⋊C4×Dic862
#191361372
#191360282
#191359132
#191357852
#191352712
#191349492
#191349282
#191348662
#191346012
#191345312
C43×#19232
#2489843