Finite Group Databasebeta

← #25103129

Subgroups — #25103129

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×#14583134C211yesmaximal, characteristic
2C2×#14582979C211yesmaximal, characteristic, complemented
3C2×#14582856C211yesmaximal, characteristic, complemented
4#19137291C211yesmaximal, characteristic, complemented
5#19137286C211yesmaximal, characteristic, complemented
6#19135460C211yesmaximal, characteristic, complemented
7#19135325C211yesmaximal, characteristic, complemented
8#19135292C211yesmaximal, characteristic, complemented
9#19135032C211yesmaximal, characteristic, complemented
10#19135030C211yesmaximal, characteristic, complemented
11#19134623C211yesmaximal, characteristic, complemented
12#19134487C211yesmaximal, characteristic, complemented
13#19134422C211yesmaximal, characteristic, complemented
14#19134419C211yesmaximal, characteristic, complemented
15C43×#1936C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19C2×#13063300C2211yescharacteristic
20C2×#13063296C2211yescharacteristic
21C2×D4×Dic43C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×#13063282C2211yescharacteristic
24#14583134C418yescomplemented
25#14582979—24no—
26C2×#13063258C2211yescharacteristic
27C2×#13063258C2211yescharacteristic
28C2×#13063258C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33#14582856—24no—
34C2×#13063235C2211yescharacteristic
35C2×C4×C43⋊C8C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37#14582801C2211yescharacteristic
38#14582800—21no—
39#14582799—21no—
40#14582797C2211yescharacteristic
41#14582788—21no—
42#14582787—21no—
43#14582777—21no—
44#14582776—21no—
45#14582771—21no—
46#14582770—21no—
47#14582756C2211yescharacteristic
48#14582756C2211yescharacteristic
49C4⋊C4×Dic43C2211yescharacteristic
50C4⋊C4×Dic43C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C43×#390C2211yescharacteristic
59C43×#389C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×D172—21no—
63C22×D172C2311yescharacteristic
64C22×C22⋊D43—21no—
65C23×Dic43—21no—
66C22×C4×D43—21no—
67C22×C4×D43C2311yescharacteristic
68C2×#10621882—22no—
69C2×#10621882—22no—
70C2×#10621882C2×C414yes—
71C2×#10621872—22no—
72C2×#10621872—22no—
73C2×#10621872—22no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C2×C8×D43—22no—
77C2×C8×D43—22no—
78C2×C8×D43C2×C414yescomplemented
79#13063300—22no—
80#13063300C2×C414yescomplemented
81#13063296—22no—
82#13063296C2×C414yescomplemented
83D4×Dic43—22no—
84D4×Dic43—22no—
85#13063287—22no—
86#13063287—22no—
87#13063282—22no—
88#13063282—22no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4D411yescharacteristic
94C2×Dic43⋊C4D411yescharacteristic
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4D411yescharacteristic
104C2×(C2×D43)⋊C4D411yescharacteristic
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107C2×C4×Dic43C2311yescharacteristic
108#13063258—22no—
109#13063258—22no—
110#13063258C2×C414yescomplemented
111#13063247—22no—
112#13063247C2×C414yescomplemented
113#13063246—22no—
114#13063245—22no—
115#13063235—22no—
116C4×C43⋊C8—22no—
117C8×Dic43D414yescomplemented
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×D4×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131C2×C22⋊C4×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#102×C43—22no—
134#102×C43C2×C414yescomplemented
135#97×C43—22no—
136#95×C43—21no—
137C24×C43—21no—
138C23×D43—21no—
139C23×D43C2×D411yescharacteristic
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43C22×C412yes—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2411yescharacteristic
152C2×C22⋊D43—24no—
153C2×C22⋊D43—81no—
154C2×C22⋊D43—81no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—42no—
159C22×Dic43—81no—
160C22×Dic43—81no—
161C22×Dic43C2×D411yescharacteristic
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164C2×D172—21no—
165C2×D172—24no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—81no—
171C2×D172—81no—
172C2×D172C22×C412yes—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—42no—
178C2×C4×D43—81no—
179C2×C4×D43—81no—
180C2×C4×D43C22×C412yes—
181C2×C4×D43#4112yes—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43C22×C412yes—
187C2×C8×C43C2×D412yes—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—81no—
194C4⋊C4×C43C22×C412yes—
195C22⋊C4×C43—81no—
196C22⋊C4×C43—81no—
197C42×C43—21no—
198C42×C43—21no—
199C22⋊Dic43—24no—
200C22⋊Dic43—42no—
201#10621882—28no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—22no—
204(C2×D43)⋊C4—22no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—81no—
207(C2×D43)⋊C4—81no—
208(C2×D43)⋊C4—81no—
209(C2×D43)⋊C4—81no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43C22×C412yes—
216Dic43⋊C4—22no—
217Dic43⋊C4—22no—
218Dic43⋊C4—81no—
219C4×Dic43—81no—
220C4×Dic43—81no—
221C4×Dic43C2×D412yes—
222C4×Dic43#4112yes—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8C22×C412yes—
226C2×C43⋊C8C2×D412yes—
227C2×C43⋊C8#4112yes—
228C2×C43⋊C8#4112yes—
229#10621872—28no—
230C8×D43—28no—
231C23×C43—22no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43C22×D411yescharacteristic
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—22no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43C4×D412yes—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—41no—
256D4×C43—41no—
257C2×C4×C43—22no—
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—41no—
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×C43C23×C411yescharacteristic
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C22⋊D43—84no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—22no—
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—84no—
295C2×Dic43C4×D412yes—
296C2×Dic43#12112yes—
297C2×Dic43#12112yes—
298D172—22no—
299D172—22no—
300D172—41no—
301D172—41no—
302D172—84no—
303C4×D43—22no—
304C4×D43—22no—
305C4×D43—22no—
306C4×D43—22no—
307C4×D43—84no—
308C8×C43—22no—
309C8×C43—22no—
310C43⋊C8—22no—
311C43⋊C8C4×D414yes—
312#21524—431nomaximal, Sylow
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43C2×C4×D411yescharacteristic
321C22×C43C2×#12111yescharacteristic
322C22×C43#53211yescharacteristic
323C22×C43#57611yescharacteristic
324C22×C43#57611yescharacteristic
325C22×C43#57611yescharacteristic
326C22×C43#57811yescharacteristic
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—81no—
341C4×C43—42no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43—81no—
345C4×C43—81no—
346C4×C43C2×C4×D411yescharacteristic
347C4×C43C4×#4111yescharacteristic
348C4×C43#52511yescharacteristic
349C4×C43#52911yescharacteristic
350Dic43—22no—
351Dic43—22no—
352Dic43—22no—
353Dic43—42no—
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#1936D4311yescharacteristic, complemented
365#1895—431no—
366#1895—431no—
367#1808—431no—
368C4×#107—431no—
369#1762—431no—
370#1762—431no—
371C2×C43—82no—
372C2×C43C4×#12111yescharacteristic
373C2×C43#294811yescharacteristic
374C2×C43#295111yescharacteristic
375C2×C43#305811yescharacteristic
376C2×C43#306111yescharacteristic
377C2×C43#317511yescharacteristic
378C2×C43#317611yescharacteristic
379D43—42no—
380D43—82no—
381C22×D8—431no—
382C22×M16—431no—
383C23×C8—431no—
384C2×#121—431no—
385C2×#121—431no—
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×#97C2×D4311yescharacteristic
403C2×C4×C8—431no—
404C2×C4×C8—431no—
405#390—431no—
406#390—861no—
407#390—861no—
408#390C2×D4311yescharacteristic
409#389—431no—
410#389C2×D4311yescharacteristic
411#388—861no—
412#388—861no—
413#386—861no—
414#386—861no—
415#385—861no—
416#385—861no—
417#380—431no—
418#380—431no—
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—431no—
429C22×D4—861no—
430C22×D4—861no—
431C22×D4C22×D4311yescharacteristic
432C23×C4—431no—
433C23×C4—861no—
434C23×C4—861no—
435C2×D8—434no—
436C2×D8—862no—
437C2×D8—862no—
438C2×M16—862no—
439C2×M16—862no—
440C2×M16—862no—
441C22×C8—431no—
442C22×C8—431no—
443C22×C8—434no—
444C22×C8—862no—
445C22×C8—862no—
446C22×C8C22×D4311yescharacteristic
447C22×C8C22×D4311yescharacteristic
448#121—434no—
449#121—434no—
450#121—862no—
451#121—862no—
452C4×D4—862no—
453C4×D4—862no—
454C4×D4—862no—
455C4×D4—862no—
456#117—862no—
457#117—862no—
458C2×C4⋊C4—21no—
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⋊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—861no—
482C2×C42—861no—
483C2×C42C22×D4311yescharacteristic
484#107—434no—
485#107—862no—
486#107—862no—
487#102—22no—
488#102—434no—
489#102—862no—
490#102—862no—
491#102—862no—
492#102C4×D4314yescomplemented
493#97—22no—
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—431no—
505C24—861no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—432no—
512C2×D4—864no—
513C2×D4—864no—
514C2×D4—861no—
515C2×D4—861no—
516C2×D4—861no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4—3441no—
520C2×D4—3441no—
521C2×D4—3441no—
522C2×D4—3441no—
523C2×D4C2×C4×D4312yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—431no—
528C22×C4—431no—
529C22×C4—431no—
530C22×C4—432no—
531C22×C4—432no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—3441no—
540C22×C4—3441no—
541C22×C4—3441no—
542C22×C4—3441no—
543C22×C4—1722no—
544C22×C4—1722no—
545C22×C4D4×D4311yescharacteristic
546C22×C4D4×D4311yescharacteristic
547C22×C4C23×D4311yescharacteristic
548D8—868no—
549M16—868no—
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×C8C2×C4×D4312yes—
562C2×C8D4×D4312yes—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—81no—
569C4⋊C4—432no—
570C4⋊C4—862no—
571C4⋊C4—862no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—3441no—
578C4⋊C4C2×C4×D4312yes—
579C22⋊C4—81no—
580C22⋊C4—81no—
581C22⋊C4—862no—
582C22⋊C4—862no—
583C22⋊C4—864no—
584C22⋊C4—864no—
585C22⋊C4—3441no—
586C22⋊C4—3441no—
587C22⋊C4—3441no—
588C22⋊C4—3441no—
589C22⋊C4—1722no—
590C22⋊C4—1722no—
591C42—21no—
592C42—21no—
593C42—432no—
594C42—432no—
595C42—3441no—
596C42—3441no—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—432no—
605C23—861no—
606C23—861no—
607C23—861no—
608C23—861no—
609C23—861no—
610C23—861no—
611C23—862no—
612C23—1721no—
613C23—1721no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23C2×D4×D4311yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—862no—
624D4—862no—
625D4—3444no—
626D4—3444no—
627D4—1721no—
628D4—1721no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
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—432no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—3444no—
659C2×C4—3444no—
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×C4C22×C4×D4311yescharacteristic
669C2×C4C2×D4×D4311yescharacteristic
670C2×C4#41×D4311yescharacteristic
671C2×C4#41×D4311yescharacteristic
672C2×C4#41×D4311yescharacteristic
673C2×C4#41×D4311yescharacteristic
674C8—22no—
675C8—22no—
676C8—434no—
677C8—862no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—862no—
686C22—862no—
687C22—862no—
688C22—3441no—
689C22—3441no—
690C22—3441no—
691C22—3441no—
692C22—1722no—
693C22—1722no—
694C22—1722no—
695C22—1721no—
696C22—1721no—
697C22—1721no—
698C22—1721no—
699C22C4×D4×D4311yescharacteristic
700C22#121×D4311yescharacteristic
701C22#1458344811yescharacteristic
702C22#1458370311yescharacteristic
703C22#1458370311yescharacteristic
704C22#1458370311yescharacteristic
705C22#1458371511yescharacteristic
706C4—42no—
707C4—41no—
708C4—41no—
709C4—81no—
710C4—81no—
711C4—862no—
712C4—862no—
713C4—862no—
714C4—3441no—
715C4—3441no—
716C4—1722no—
717C4C4×D4×D4311yescharacteristic
718C4#1458336711yescharacteristic
719C4#1458340711yescharacteristic
720C4#1458343211yescharacteristic
721C2—82no—
722C2—3442no—
723C2—1722no—
724C2#1913710711yescharacteristic
725C2#1914344411yescharacteristic
726C2#1914346711yescharacteristic
727C2#1914424111yescharacteristic
728C2#1914426311yescharacteristic
729C2#1914523311yescharacteristic
730C2#1914524411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1936C2
socleC23×C43C22×D4
prime radicalC2×#14583134C2
cosocleC22×C4×C43C24
hypercenter#1936D43
hypocenterC43#21524
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1936

Complements

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

NH ≅ G/Ntype
2. C2×#14582979C2semidirect
3. C2×#14582856C2semidirect
4. #19137291C2semidirect
5. #19137286C2semidirect
6. #19135460C2semidirect
7. #19135325C2semidirect
8. #19135292C2semidirect
9. #19135032C2semidirect
10. #19135030C2semidirect
11. #19134623C2semidirect
12. #19134487C2semidirect
13. #19134422C2semidirect
14. #19134419C2semidirect
15. C43×#1936C2semidirect
24. #14583134C4semidirect
78. C2×C8×D43C2×C4semidirect
80. #13063300C2×C4semidirect
82. #13063296C2×C4semidirect
110. #13063258C2×C4semidirect
112. #13063247C2×C4semidirect
117. C8×Dic43D4semidirect
134. #102×C43C2×C4semidirect
364. #1936D43semidirect
427. C43#21524semidirect
492. #102C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831342
C2×#145829792
C2×#145828562
#191372912
#191372862
#191354602
#191353252
#191352922
#191350322
#191350302
#191346232
#191344872
#191344222
#191344192
C43×#19362
#2152443