Finite Group Databasebeta

← #25103127

Subgroups — #25103127

Order 11008.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583133C211yesmaximal, characteristic
2C2×#14582979C211yesmaximal, characteristic, complemented
3C2×#14582857C211yesmaximal, characteristic, complemented
4#19137290C211yesmaximal, characteristic, complemented
5#19137284C211yesmaximal, characteristic, complemented
6#19135458C211yesmaximal, characteristic, complemented
7#19135327C211yesmaximal, characteristic, complemented
8#19135293C211yesmaximal, characteristic, complemented
9#19135289C211yesmaximal, characteristic, complemented
10#19135033C211yesmaximal, characteristic, complemented
11#19134622C211yesmaximal, characteristic, complemented
12#19134487C211yesmaximal, characteristic, complemented
13#19134422C211yesmaximal, characteristic, complemented
14#19134419C211yesmaximal, characteristic, complemented
15C43×#1895C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C23×C43⋊C8C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21C2×#13063284C2211yescharacteristic
22#14583133C418yescomplemented
23#14582979—24no—
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063258C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31#14582857—24no—
32C2×#13063235C2211yescharacteristic
33C2×#13063235C2211yescharacteristic
34C2×C8×Dic43C2211yescharacteristic
35C2×C8×Dic43C2211yescharacteristic
36#14582802—21no—
37#14582802C2211yescharacteristic
38#14582800C2211yescharacteristic
39#14582799—21no—
40#14582798C2211yescharacteristic
41#14582795C2211yescharacteristic
42#14582792—21no—
43#14582791—21no—
44#14582779—21no—
45#14582775—21no—
46#14582774—21no—
47#14582773—21no—
48#14582759C2211yescharacteristic
49C4⋊C4×Dic43C2211yescharacteristic
50C4⋊C4×Dic43C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C22×M16×C43C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×D172C2311yescharacteristic
63C22×C22⋊D43—21no—
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C2×#10621882—22no—
67C2×#10621882—22no—
68C2×#10621882C2×C414yes—
69C22×C43⋊C8—22no—
70C22×C43⋊C8—22no—
71C22×C43⋊C8C2×C414yescomplemented
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74#13063299—22no—
75#13063299C2×C414yescomplemented
76D4×Dic43—22no—
77D4×Dic43—22no—
78#13063287—22no—
79#13063287—22no—
80#13063284—22no—
81#13063284—22no—
82C2×C4⋊Dic43—21no—
83C2×C4⋊Dic43D411yescharacteristic
84C2×C4⋊Dic43D411yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×Dic43⋊C4—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43D411yescharacteristic
94C2×C22⋊Dic43D411yescharacteristic
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43C2311yescharacteristic
102C2×C4×Dic43C2311yescharacteristic
103#13063258—22no—
104#13063258—22no—
105#13063258C2×C414yescomplemented
106#13063247—22no—
107#13063247—22no—
108#13063246C2×C414yescomplemented
109#13063245C2×C414yescomplemented
110#13063235—22no—
111#13063235—22no—
112C8×Dic43—22no—
113C8×Dic43D414yescomplemented
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C22×D4×C43—21no—
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43C2311yescharacteristic
122C2×M16×C43—22no—
123C2×M16×C43—22no—
124C2×M16×C43—22no—
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127#121×C43—22no—
128#121×C43C2×C414yescomplemented
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134#102×C43—22no—
135#102×C43—22no—
136#95×C43—21no—
137C24×C43—21no—
138C24×C43C2×D411yescharacteristic
139C23×D43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—24no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—81no—
147C2×D4×C43—81no—
148C2×D4×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×C43C22×C412yes—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43#4112yes—
159C22×C4×C43C2411yescharacteristic
160C2×C22⋊D43—24no—
161C2×C22⋊D43—81no—
162C2×C22⋊D43—81no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—42no—
167C22×Dic43—81no—
168C22×Dic43—81no—
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172C22×C412yes—
179C2×C4×D43—42no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182M16×C43—28no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43C2×D412yes—
188C2×C8×C43#4112yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43C22×C412yes—
195C22⋊C4×C43—24no—
196C22⋊C4×C43—81no—
197C22⋊Dic43—22no—
198C22⋊Dic43—22no—
199C22⋊Dic43—42no—
200C22⋊Dic43—81no—
201C22⋊Dic43—81no—
202C22⋊Dic43—81no—
203#10621882—28no—
204(C2×D43)⋊C4—24no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—81no—
207(C2×D43)⋊C4—81no—
208C4⋊Dic43—21no—
209C4⋊Dic43—22no—
210C4⋊Dic43—22no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—81no—
216C4⋊Dic43C22×C412yes—
217Dic43⋊C4—81no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—81no—
221C4×Dic43—81no—
222C4×Dic43C2×D412yes—
223C4×Dic43#4112yes—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—28no—
227C2×C43⋊C8C22×C412yes—
228C2×C43⋊C8C22×C412yes—
229C2×C43⋊C8C2×D412yes—
230C2×C43⋊C8#4112yes—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—22no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C4×D412yes—
245C23×C43C22×D411yescharacteristic
246C22×D43—22no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—41no—
256D4×C43—41no—
257D4×C43—84no—
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—22no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43C4×D412yes—
274C2×C4×C43C23×C411yescharacteristic
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C22⋊D43—84no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—84no—
301C2×Dic43#12112yes—
302C2×Dic43#12112yes—
303D172—22no—
304D172—22no—
305D172—41no—
306D172—41no—
307C4×D43—84no—
308C8×C43—22no—
309C8×C43—22no—
310C43⋊C8—22no—
311C43⋊C8C4×D414yes—
312#21524—431nomaximal, Sylow
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43C2×C4×D411yescharacteristic
328C22×C43C2×#12111yescharacteristic
329C22×C43#53211yescharacteristic
330C22×C43#57611yescharacteristic
331C22×C43#57611yescharacteristic
332C22×C43#57611yescharacteristic
333C22×C43#57811yescharacteristic
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—81no—
341C4×C43—22no—
342C4×C43—42no—
343C4×C43—81no—
344C4×C43—81no—
345C4×C43C2×C4×D411yescharacteristic
346C4×C43C4×#4111yescharacteristic
347C4×C43#52511yescharacteristic
348C4×C43#52911yescharacteristic
349Dic43—22no—
350Dic43—22no—
351Dic43—42no—
352Dic43—41no—
353Dic43—41no—
354Dic43—81no—
355Dic43—81no—
356C2×#466—431no—
357C2×C4×D8—431no—
358C2×#405—431no—
359#2324—431no—
360#2324—431no—
361#1970—431no—
362#1942—431no—
363#1936—431no—
364#1936—431no—
365#1895—431no—
366#1895D4311yescharacteristic, complemented
367#1808—431no—
368C4×#107—431no—
369#1762—431no—
370#1762—431no—
371C2×C43—42no—
372C2×C43—82no—
373C2×C43C4×#12111yescharacteristic
374C2×C43#294811yescharacteristic
375C2×C43#295111yescharacteristic
376C2×C43#305811yescharacteristic
377C2×C43#306111yescharacteristic
378C2×C43#317511yescharacteristic
379C2×C43#317611yescharacteristic
380D43—82no—
381C22×D8—431no—
382C22×M16C2×D4311yescharacteristic
383C23×C8—431no—
384C2×#121—431no—
385C2×#121C2×D4311yescharacteristic
386C2×C4×D4—431no—
387C2×C4×D4—431no—
388C2×#117—431no—
389#466—438no—
390C4×D8—864no—
391C2×#107—431no—
392C2×#107—431no—
393C2×#107—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102C2×D4311yescharacteristic
399C2×#102C2×D4311yescharacteristic
400#405—864no—
401C2×#97—431no—
402C2×#97—431no—
403C2×C4×C8—431no—
404C2×C4×C8—431no—
405#390—431no—
406#390—431no—
407#390—861no—
408#390—861no—
409#389—431no—
410#389—431no—
411#388—861no—
412#388—861no—
413#386—861no—
414#386—861no—
415#385—861no—
416#385—861no—
417#380—431no—
418#380C2×D4311yescharacteristic
419C4×C4⋊C4—431no—
420C4×C4⋊C4—431no—
421#340—431no—
422#340—431no—
423#340—431no—
424#340—431no—
425#340C2×D4311yescharacteristic
426#340C2×D4311yescharacteristic
427C43#2152411yescharacteristic, complemented, Sylow
428C22×D4—21no—
429C22×D4—431no—
430C22×D4—861no—
431C22×D4C22×D4311yescharacteristic
432C23×C4—861no—
433C23×C4—861no—
434C23×C4C22×D4311yescharacteristic
435C2×D8—434no—
436C2×D8—862no—
437C2×D8—862no—
438C2×M16—22no—
439C2×M16—22no—
440C2×M16—22no—
441C22×C8—431no—
442C22×C8—434no—
443C22×C8—431no—
444C22×C8—862no—
445C22×C8—862no—
446C22×C8C22×D4311yescharacteristic
447C22×C8C22×D4311yescharacteristic
448#121—22no—
449#121—434no—
450#121—862no—
451#121C4×D4314yescomplemented
452C4×D4—862no—
453C4×D4—862no—
454C4×D4—862no—
455C4×D4—862no—
456#117—862no—
457#117—862no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—431no—
471C2×C22⋊C4—431no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C42—431no—
481C2×C42—431no—
482C2×C42—861no—
483C2×C42—861no—
484#107—434no—
485#107—862no—
486#107—862no—
487#102—22no—
488#102—22no—
489#102—434no—
490#102—434no—
491#102—862no—
492#102—862no—
493#97—862no—
494#97—862no—
495C4×C8—434no—
496C4×C8—862no—
497#95—21no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95—861no—
503C24—21no—
504C24—861no—
505C24D4×D4311yescharacteristic
506C2×D4—24no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—81no—
513C2×D4—81no—
514C2×D4—432no—
515C2×D4—864no—
516C2×D4—861no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4—861no—
520C2×D4—861no—
521C2×D4—3441no—
522C2×D4—3441no—
523C2×D4C2×C4×D4312yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—431no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4—3441no—
541C22×C4—3441no—
542C22×C4—1722no—
543C22×C4—1722no—
544C22×C4C2×C4×D4312yes—
545C22×C4D4×D4311yescharacteristic
546C22×C4#1062190012yes—
547C22×C4C23×D4311yescharacteristic
548D8—868no—
549M16—28no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—432no—
555C2×C8—432no—
556C2×C8—432no—
557C2×C8—432no—
558C2×C8—868no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8D4×D4312yes—
562C2×C8#1062190012yes—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—432no—
569C4⋊C4—862no—
570C4⋊C4—862no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—3441no—
577C4⋊C4—3441no—
578C4⋊C4C2×C4×D4312yes—
579C22⋊C4—24no—
580C22⋊C4—81no—
581C22⋊C4—862no—
582C22⋊C4—862no—
583C22⋊C4—864no—
584C22⋊C4—3441no—
585C22⋊C4—3441no—
586C22⋊C4—3441no—
587C22⋊C4—3441no—
588C22⋊C4—3441no—
589C22⋊C4—1722no—
590C22⋊C4—1722no—
591C42—432no—
592C42—432no—
593C42—861no—
594C42—861no—
595C42—3441no—
596C42—3441no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—862no—
611C23—1721no—
612C23—1721no—
613C23—1721no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23(C22⋊D43)⋊C412yes—
618C23C2×D4×D4311yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—84no—
624D4—862no—
625D4—862no—
626D4—3444no—
627D4—1721no—
628D4—1721no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—432no—
645C2×C4—432no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—862no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—3444no—
658C2×C4—3444no—
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(C22⋊D43)⋊C412yes—
668C2×C4C22×C4×D4311yescharacteristic
669C2×C4C2×D4×D4311yescharacteristic
670C2×C4#41×D4311yescharacteristic
671C2×C4#41×D4311yescharacteristic
672C2×C4C2×#1062190011yescharacteristic
673C2×C4C2×#1062190011yescharacteristic
674C8—22no—
675C8—22no—
676C8—434no—
677C8—862no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—3441no—
693C22—3441no—
694C22—3441no—
695C22—3441no—
696C22—1722no—
697C22—1722no—
698C22—1722no—
699C22C2×(C22⋊D43)⋊C411yescharacteristic
700C22#121×D4311yescharacteristic
701C22#1458344411yescharacteristic
702C22#1458370311yescharacteristic
703C22#1458370311yescharacteristic
704C22#1458370311yescharacteristic
705C22#1458371511yescharacteristic
706C4—22no—
707C4—42no—
708C4—81no—
709C4—81no—
710C4—862no—
711C4—862no—
712C4—3441no—
713C4—3441no—
714C4—1722no—
715C4—1721no—
716C4—1721no—
717C4C4×D4×D4311yescharacteristic
718C4C4×#1062190011yescharacteristic
719C4#1458340511yescharacteristic
720C4#1458342611yescharacteristic
721C2—42no—
722C2—82no—
723C2—3442no—
724C2#1913710511yescharacteristic
725C2#1914344311yescharacteristic
726C2#1914346611yescharacteristic
727C2#1914424111yescharacteristic
728C2#1914426311yescharacteristic
729C2#1914522911yescharacteristic
730C2#1914524011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1895C2
socleC23×C43C22×D4
prime radicalC2×#14583133C2
cosocleC22×C4×C43C24
hypercenter#1895D43
hypocenterC43#21524
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
2. C2×#14582979C2semidirect
3. C2×#14582857C2semidirect
4. #19137290C2semidirect
5. #19137284C2semidirect
6. #19135458C2semidirect
7. #19135327C2semidirect
8. #19135293C2semidirect
9. #19135289C2semidirect
10. #19135033C2semidirect
11. #19134622C2semidirect
12. #19134487C2semidirect
13. #19134422C2semidirect
14. #19134419C2semidirect
15. C43×#1895C2semidirect
22. #14583133C4semidirect
71. C22×C43⋊C8C2×C4semidirect
75. #13063299C2×C4semidirect
105. #13063258C2×C4semidirect
108. #13063246C2×C4semidirect
109. #13063245C2×C4semidirect
113. C8×Dic43D4semidirect
128. #121×C43C2×C4semidirect
366. #1895D43semidirect
427. C43#21524semidirect
451. #121C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831332
C2×#145829792
C2×#145828572
#191372902
#191372842
#191354582
#191353272
#191352932
#191352892
#191350332
#191346222
#191344872
#191344222
#191344192
C43×#18952
#2152443