Finite Group Databasebeta

← #25115050

Subgroups — #25115050

Order 11008.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583019C211yesmaximal, characteristic
2C2×#14583014C211yesmaximal, characteristic
3#19143393C211yesmaximal, characteristic
4#19143160C211yesmaximal, characteristic, complemented
5#19135345C211yesmaximal, characteristic, complemented
6#19135340C211yesmaximal, characteristic, complemented
7#19134870C211yesmaximal, characteristic, complemented
8#19134870C211yesmaximal, characteristic, complemented
9#19134869C211yesmaximal, characteristic, complemented
10#19134869C211yesmaximal, characteristic, complemented
11#19134769C211yesmaximal, characteristic, complemented
12#19134615C211yesmaximal, characteristic, complemented
13#19134612C211yesmaximal, characteristic, complemented
14#19134472C211yesmaximal, characteristic, complemented
15C43×#2906C211yesmaximal, characteristic, complemented
16C2×#13063345C2211yescharacteristic
17C2×#13063331C2211yescharacteristic
18C2×#13063331C2211yescharacteristic
19C4×#10621898C2211yescharacteristic
20#14583019—24no—
21#14583014—24no—
22#14583009C411yescharacteristic, complemented
23#14583009C411yescharacteristic, complemented
24#14583004C411yescharacteristic, complemented
25#14583004C411yescharacteristic, complemented
26#14582999C411yescharacteristic, complemented
27#14582999C411yescharacteristic, complemented
28#14582997C411yescharacteristic, complemented
29#14582997C411yescharacteristic, complemented
30C2×#13063260C2211yescharacteristic
31C2×#13063260C2211yescharacteristic
32C2×#13063260C2211yescharacteristic
33C2×#13063260C2211yescharacteristic
34#14582935C2211yescharacteristic
35#14582925C2211yescharacteristic
36#14582925C2211yescharacteristic
37#14582924—21no—
38#14582924—21no—
39#14582923C2211yescharacteristic
40#14582921—21no—
41C4⋊C8×D43—21no—
42C2×#13063252C2211yescharacteristic
43C2×#13063252C2211yescharacteristic
44C2×#13063251C2211yescharacteristic
45C2×#13063251C2211yescharacteristic
46#14582895C2211yescharacteristic
47#14582893C2211yescharacteristic
48C2×#13063236C2211yescharacteristic
49C2×#13063235C2211yescharacteristic
50C2×C8×Dic43C2211yescharacteristic
51C4×C4⋊Dic43C2211yescharacteristic
52#14582660C2211yescharacteristic
53#14582660C2211yescharacteristic
54#14582658C2211yescharacteristic
55#14582658C2211yescharacteristic
56#14582653C2211yescharacteristic
57#14582653C2211yescharacteristic
58C2×#131×C43C2211yescharacteristic
59C2×#131×C43C2211yescharacteristic
60C4×#41×C43C2211yescharacteristic
61C43×#424—21no—
62C43×#424—21no—
63C43×#424C2211yescharacteristic
64C43×#424C2211yescharacteristic
65C43×#423—21no—
66C43×#423C2211yescharacteristic
67C2×C4⋊C8×C43—21no—
68C2×C4⋊C8×C43C2211yescharacteristic
69C2×#10621898C2311yescharacteristic
70#13063345D414yes—
71#13063345Q814yes—
72C2×#10621885C2×C411yescharacteristic
73C2×#10621883C2×C411yescharacteristic
74C2×#10621884C2×C411yescharacteristic
75C2×#10621882C2×C411yescharacteristic
76#13063331—22no—
77#13063331—22no—
78#13063331—41no—
79#13063331—41no—
80C2×#10621877C2311yescharacteristic
81C2×#10621877C2311yescharacteristic
82C2×#10621872—21no—
83C2×#10621872—21no—
84C22×C43⋊C8C2311yescharacteristic
85C22×C43⋊C8C2311yescharacteristic
86C2×C8×D43—21no—
87C2×C8×D43—21no—
88C4×Dic86C2×C411yescharacteristic
89C4×Dic86C2×C411yescharacteristic
90C4×D172C2×C411yescharacteristic
91C4×D172C2×C411yescharacteristic
92C4×C22⋊D43—21no—
93C4×C22⋊D43—21no—
94#13063284C2311yescharacteristic
95#13063282—21no—
96C2×C4⋊Dic43—21no—
97C2×C4×Dic43C2311yescharacteristic
98C2×C4×Dic43C2311yescharacteristic
99C42×D43—21no—
100#13063260—22no—
101#13063260—22no—
102#13063260—41no—
103#13063260—41no—
104#13063258C2×C411yescharacteristic
105#13063258C2×C411yescharacteristic
106#13063256C2×C411yescharacteristic
107#13063256C2×C411yescharacteristic
108C4⋊(C43⋊C8)—21no—
109C4⋊(C43⋊C8)—21no—
110Dic43⋊C8—21no—
111Dic43⋊C8—21no—
112Dic43⋊C8—21no—
113Dic43⋊C8—21no—
114#13063252—22no—
115#13063252—22no—
116#13063251—22no—
117#13063251—22no—
118#13063249C2×C411yescharacteristic
119#13063249C2×C411yescharacteristic
120#13063248C2×C411yescharacteristic
121#13063248C2×C411yescharacteristic
122#13063246C2×C411yescharacteristic
123#13063246C2×C411yescharacteristic
124#13063245C2×C411yescharacteristic
125#13063245C2×C411yescharacteristic
126#13063236C2×C411yescharacteristic
127#13063236C2×C411yescharacteristic
128#13063236C2×C411yescharacteristic
129#13063236C2×C411yescharacteristic
130#13063235—22no—
131C8×Dic43—22no—
132C43⋊#95—21no—
133C2×#41×C43C2311yescharacteristic
134#131×C43—22no—
135#131×C43—22no—
136#131×C43—41no—
137#131×C43—41no—
138C2×M16×C43—21no—
139C2×M16×C43—21no—
140C2×M16×C43C2311yescharacteristic
141C2×M16×C43C2311yescharacteristic
142C22×C8×C43—21no—
143C22×C8×C43—21no—
144C22×C8×C43C2311yescharacteristic
145C22×C8×C43C2311yescharacteristic
146C4×Q8×C43C2×C411yescharacteristic
147C4×Q8×C43C2×C411yescharacteristic
148C4×D4×C43—21no—
149C4×D4×C43—21no—
150C4×D4×C43C2×C411yescharacteristic
151C4×D4×C43C2×C411yescharacteristic
152#117×C43—21no—
153#117×C43C2311yescharacteristic
154C2×C42×C43—21no—
155C2×C42×C43C2311yescharacteristic
156C4⋊C8×C43—21no—
157C4⋊C8×C43—21no—
158C4⋊C8×C43—21no—
159C4⋊C8×C43—21no—
160C4⋊C8×C43—21no—
161C4⋊C8×C43—21no—
162C4⋊C8×C43D411yescharacteristic
163C4⋊C8×C43D411yescharacteristic
164C4⋊C8×C43D411yescharacteristic
165C4⋊C8×C43D411yescharacteristic
166#41×C43—21no—
167#41×C43—21no—
168#41×C43C2×D412yes—
169#41×C43C2×Q812yes—
170C2×Q8×C43C22×C411yescharacteristic
171C2×D4×C43—21no—
172C2×D4×C43C22×C411yescharacteristic
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43#4111yescharacteristic
177C22×C4×C43#4111yescharacteristic
178C22×C4×C43C2411yescharacteristic
179C2×C22⋊D43—21no—
180C22×Dic43—21no—
181C22×Dic43—21no—
182#10621898—21no—
183#10621898—21no—
184#10621898C2×D412yes—
185#10621898C2×Q812yes—
186C2×D172C22×C411yescharacteristic
187C2×C4×D43—21no—
188C2×C4×D43—21no—
189C2×C4×D43—21no—
190C2×Dic86C22×C411yescharacteristic
191M16×C43—21no—
192M16×C43—21no—
193M16×C43—21no—
194M16×C43—21no—
195M16×C43—42no—
196M16×C43—42no—
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—42no—
204C2×C8×C43—42no—
205C2×C8×C43C2×D411yescharacteristic
206C2×C8×C43C2×D411yescharacteristic
207C2×C8×C43C2×D411yescharacteristic
208C2×C8×C43C2×D411yescharacteristic
209C4⋊C4×C43—21no—
210C4⋊C4×C43—21no—
211C4⋊C4×C43C22×C411yescharacteristic
212C4⋊C4×C43C22×C411yescharacteristic
213C22⋊C4×C43—21no—
214C22⋊C4×C43—21no—
215C22⋊C4×C43—21no—
216C42×C43—21no—
217C42×C43—21no—
218C42×C43—21no—
219C42×C43C22×C411yescharacteristic
220C42×C43C22×C411yescharacteristic
221C42×C43C2×D411yescharacteristic
222C42×C43C2×D411yescharacteristic
223C22⋊Dic43—21no—
224#10621885C4⋊C414yescomplemented
225#10621884C4⋊C414yescomplemented
226#10621883C4⋊C414yescomplemented
227#10621882C4⋊C414yescomplemented
228(C2×D43)⋊C4—21no—
229(C2×D43)⋊C4—21no—
230C4⋊Dic43—42no—
231C4⋊Dic43C22×C411yescharacteristic
232C4⋊Dic43C22×C411yescharacteristic
233Dic43⋊C4—21no—
234Dic43⋊C4—21no—
235C4×Dic43—21no—
236C4×Dic43—21no—
237C4×Dic43—21no—
238C4×Dic43—21no—
239C4×Dic43—21no—
240C4×Dic43—21no—
241C4×Dic43—21no—
242#10621877—21no—
243#10621877—21no—
244#10621877—21no—
245#10621877—21no—
246C2×C43⋊C8—21no—
247C2×C43⋊C8—21no—
248C2×C43⋊C8—21no—
249C2×C43⋊C8—21no—
250C2×C43⋊C8C22×C411yescharacteristic
251C2×C43⋊C8C22×C411yescharacteristic
252C2×C43⋊C8C22×C411yescharacteristic
253C2×C43⋊C8C22×C411yescharacteristic
254C2×C43⋊C8C2×D412yes—
255C2×C43⋊C8C2×Q812yes—
256#10621872—42no—
257#10621872—42no—
258C8×D43—42no—
259C8×D43—42no—
260C23×C43—21no—
261C23×C43C2×#4111yescharacteristic
262C22×D43—21no—
263Q8×C43—21no—
264Q8×C43C2×C4⋊C412yes—
265D4×C43—22no—
266D4×C43—22no—
267D4×C43—21no—
268D4×C43C2×C4⋊C412yes—
269C2×C4×C43—21no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—42no—
277C2×C4×C43—81no—
278C2×C4×C43C4×D411yescharacteristic
279C2×C4×C43C4×D411yescharacteristic
280C2×C4×C43C4×D411yescharacteristic
281C2×C4×C43C4×D411yescharacteristic
282C2×C4×C43C23×C411yescharacteristic
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43C22×D411yescharacteristic
285C2×C4×C43C22×Q811yescharacteristic
286C2×C4×C43H(5,𝔽2)11yescharacteristic
287C2×C4×C432−1+411yescharacteristic
288C22⋊D43—22no—
289C22⋊D43—22no—
290C2×Dic43—21no—
291C2×Dic43—22no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299D172—21no—
300D172C2×C4⋊C412yes—
301C4×D43—22no—
302C4×D43—22no—
303C4×D43—42no—
304C4×D43—81no—
305Dic86—21no—
306Dic86C2×C4⋊C412yes—
307C8×C43—21no—
308C8×C43—21no—
309C8×C43—21no—
310C8×C43—21no—
311C8×C43—41no—
312C8×C43—41no—
313C43⋊C8—21no—
314C43⋊C8—21no—
315C43⋊C8—41no—
316C43⋊C8—41no—
317C43⋊C8C2×C4⋊C412yes—
318C43⋊C8C2×C4⋊C412yes—
319#22687—431nomaximal, Sylow
320C22×C43—21no—
321C22×C43—21no—
322C22×C43—22no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43C2×C4×D411yescharacteristic
326C22×C43#54711yescharacteristic
327C22×C43#55411yescharacteristic
328C2×D43—22no—
329C2×D43—41no—
330C2×D43—41no—
331C4×C43—22no—
332C4×C43—21no—
333C4×C43—21no—
334C4×C43—21no—
335C4×C43—21no—
336C4×C43—41no—
337C4×C43—41no—
338C4×C43C22×C4⋊C411yescharacteristic
339C4×C43#52011yescharacteristic
340C4×C43D4211yescharacteristic
341C4×C43D4×Q811yescharacteristic
342Dic43—22no—
343Dic43—42no—
344Dic43—41no—
345Dic43—41no—
346Dic43—81no—
347C2×#444—431no—
348C2×#443—431no—
349#2943—431no—
350#2906—431no—
351#2906D4311yescharacteristic, complemented
352#1946—431no—
353#1945—431no—
354#1866—431no—
355#1866—431no—
356#1866—431no—
357#1866—431no—
358#1849—431no—
359#1806—431no—
360#1806—431no—
361#1771—431no—
362C2×C43—21no—
363C2×C43—21no—
364C2×C43—42no—
365C2×C43D4×C4⋊C411yescharacteristic
366C2×C43#295511yescharacteristic
367C2×C43#295611yescharacteristic
368D43—42no—
369C2×#135—431no—
370C2×#131—431no—
371C2×#131—431no—
372C2×#131C2×D4311yescharacteristic
373C2×#131C2×D4311yescharacteristic
374C4×#41—431no—
375C4×#41C2×D4311yescharacteristic
376#444—864no—
377#443—864no—
378#442—431no—
379#442—431no—
380#441—431no—
381#441—431no—
382#440—431no—
383#440—431no—
384#440—431no—
385#440—431no—
386C2×#108—431no—
387C2×#108—431no—
388C2×#108—431no—
389C2×#108—431no—
390#427—431no—
391#424—21no—
392#424—21no—
393#424—431no—
394#424—431no—
395#424—861no—
396#424—861no—
397#424C2×D4311yescharacteristic
398#424C2×D4311yescharacteristic
399#423—21no—
400#423—431no—
401#423—861no—
402#423C2×D4311yescharacteristic
403C2×C4⋊C8—21no—
404C2×C4⋊C8—861no—
405C2×C4⋊C8C2×D4311yescharacteristic
406C2×#104—431no—
407C2×#104—431no—
408C2×#104—431no—
409C2×#104—431no—
410#416—431no—
411#416—431no—
412C2×#97—431no—
413C2×#97—431no—
414C2×C4×C8—431no—
415C4×C4⋊C4—431no—
416#339—431no—
417#339—431no—
418#339—431no—
419#339—431no—
420#336—431no—
421#336—431no—
422C43#2268711yescharacteristic, complemented, Sylow
423C2×#41—431no—
424C2×#41C22×D4311yescharacteristic
425#135—434no—
426#135—434no—
427C2×Q16—431no—
428C2×SD16—431no—
429C2×SD16—431no—
430C2×D8—431no—
431#131—22no—
432#131—22no—
433#131—41no—
434#131—41no—
435#131—862no—
436#131—862no—
437#131—1721no—
438#131—1721no—
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—431no—
442C2×M16—431no—
443C2×M16—861no—
444C2×M16—861no—
445C2×M16C22×D4311yescharacteristic
446C2×M16C22×D4311yescharacteristic
447C22×C8—21no—
448C22×C8—21no—
449C22×C8—431no—
450C22×C8—431no—
451C22×C8—861no—
452C22×C8—861no—
453C22×C8C22×D4311yescharacteristic
454C22×C8C22×D4311yescharacteristic
455C4×Q8—431no—
456C4×Q8—431no—
457C4×Q8C4×D4311yescharacteristic
458C4×Q8C4×D4311yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—431no—
462C4×D4—431no—
463C4×D4—861no—
464C4×D4—861no—
465C4×D4C4×D4311yescharacteristic
466C4×D4C4×D4311yescharacteristic
467#117—21no—
468#117—431no—
469#117—861no—
470#117C22×D4311yescharacteristic
471C2×C4⋊C4—861no—
472C2×C42—21no—
473C2×C42—431no—
474C2×C42—431no—
475C2×C42—861no—
476C2×C42C22×D4311yescharacteristic
477#108—862no—
478#108—862no—
479#108—1721no—
480#108—1721no—
481#107—431no—
482#107—431no—
483#106—431no—
484#106—431no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—21no—
488C4⋊C8—21no—
489C4⋊C8—21no—
490C4⋊C8—21no—
491C4⋊C8—861no—
492C4⋊C8—861no—
493C4⋊C8—861no—
494C4⋊C8—861no—
495C4⋊C8—861no—
496C4⋊C8—861no—
497C4⋊C8C22⋊D4311yescharacteristic
498C4⋊C8C22⋊D4311yescharacteristic
499C4⋊C8C22⋊D4311yescharacteristic
500C4⋊C8C22⋊D4311yescharacteristic
501#104—862no—
502#104—862no—
503#104—862no—
504#104—862no—
505#103—431no—
506#103—431no—
507#103—431no—
508#103—431no—
509#102—431no—
510#102—431no—
511#102—431no—
512#102—431no—
513#97—431no—
514#97—431no—
515#97—431no—
516#97—431no—
517#97—862no—
518C4×C8—862no—
519#95—861no—
520#41—21no—
521#41—21no—
522#41—432no—
523#41—432no—
524#41—861no—
525#41—861no—
526#41D4×D4312yes—
527#41Q8×D4312yes—
528C2×Q8—431no—
529C2×Q8C2×C4×D4311yescharacteristic
530C2×D4—21no—
531C2×D4—431no—
532C2×D4—861no—
533C2×D4C2×C4×D4311yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4#1062189811yescharacteristic
543C22×C4#1062189811yescharacteristic
544C22×C4C23×D4311yescharacteristic
545Q16—434no—
546SD16—434no—
547SD16—434no—
548D8—434no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—42no—
554M16—42no—
555M16—861no—
556M16—861no—
557M16—861no—
558M16—861no—
559M16—1722no—
560M16—1722no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—431no—
570C2×C8—431no—
571C2×C8—432no—
572C2×C8—432no—
573C2×C8—431no—
574C2×C8—431no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—1722no—
580C2×C8—1722no—
581C2×C8C2×C22⋊D4311yescharacteristic
582C2×C8C2×C22⋊D4311yescharacteristic
583C2×C8C2×C22⋊D4311yescharacteristic
584C2×C8C2×C22⋊D4311yescharacteristic
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—431no—
588C4⋊C4—431no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—1722no—
592C4⋊C4C2×C4×D4311yescharacteristic
593C4⋊C4C2×C4×D4311yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—861no—
598C22⋊C4—861no—
599C22⋊C4—861no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—861no—
604C42—861no—
605C42—861no—
606C42—861no—
607C42—861no—
608C42—861no—
609C42—861no—
610C42C2×C4×D4311yescharacteristic
611C42C2×C4×D4311yescharacteristic
612C42C2×C22⋊D4311yescharacteristic
613C42C2×C22⋊D4311yescharacteristic
614C23—21no—
615C23—861no—
616C23C2×#1062189811yescharacteristic
617Q8—21no—
618Q8—432no—
619Q8—861no—
620Q8C4⋊C4×D4312yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—432no—
625D4—862no—
626D4—862no—
627D4—861no—
628D4C4⋊C4×D4312yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—861no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—3441no—
645C2×C4—1722no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4C4×C22⋊D4311yescharacteristic
652C2×C4C4×C22⋊D4311yescharacteristic
653C2×C4C4×C22⋊D4311yescharacteristic
654C2×C4C4×C22⋊D4311yescharacteristic
655C2×C4C22×C4×D4311yescharacteristic
656C2×C4C2×D4×D4311yescharacteristic
657C2×C4C22×C22⋊D4311yescharacteristic
658C2×C4C2×Q8×D4311yescharacteristic
659C2×C4#1306337011yescharacteristic
660C2×C4#1306337311yescharacteristic
661C8—21no—
662C8—21no—
663C8—21no—
664C8—21no—
665C8—41no—
666C8—41no—
667C8—432no—
668C8—432no—
669C8—861no—
670C8—861no—
671C8—1721no—
672C8—1721no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—862no—
679C22—1721no—
680C22—1721no—
681C22C2×C4×C22⋊D4311yescharacteristic
682C22#1458355011yescharacteristic
683C22#1458360411yescharacteristic
684C4—21no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—22no—
689C4—41no—
690C4—41no—
691C4—862no—
692C4—3441no—
693C4—1722no—
694C4—1721no—
695C4—1721no—
696C4C2×C4⋊C4×D4311yescharacteristic
697C4#1458338011yescharacteristic
698C4D4×C22⋊D4311yescharacteristic
699C4Q8×C22⋊D4311yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—1722no—
704C2C4⋊C4×C22⋊D4311yescharacteristic
705C2#1914349611yescharacteristic
706C2#1914350211yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2906C2
socleC22×C43C2×C4×D4
prime radicalC2×#13063345C22
cosocleC22×C4×C43C24
hypercenter#2906D43
hypocenterC43#22687
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #19143160C2semidirect
5. #19135345C2semidirect
6. #19135340C2semidirect
7. #19134870C2semidirect
8. #19134870C2semidirect
9. #19134869C2semidirect
10. #19134869C2semidirect
11. #19134769C2semidirect
12. #19134615C2semidirect
13. #19134612C2semidirect
14. #19134472C2semidirect
15. C43×#2906C2semidirect
22. #14583009C4semidirect
23. #14583009C4semidirect
24. #14583004C4semidirect
25. #14583004C4semidirect
26. #14582999C4semidirect
27. #14582999C4semidirect
28. #14582997C4semidirect
29. #14582997C4semidirect
224. #10621885C4⋊C4semidirect
225. #10621884C4⋊C4semidirect
226. #10621883C4⋊C4semidirect
227. #10621882C4⋊C4semidirect
351. #2906D43semidirect
422. C43#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#145830192
C2×#145830142
#191433932
#191431602
#191353452
#191353402
#191348702
#191348692
#191347692
#191346152
#191346122
#191344722
C43×#29062
#2268743