Finite Group Databasebeta

← #33122164

Subgroups — #33122164

Order 18688.

1068 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989215C211yesmaximal, characteristic, complemented
2C2×#17988887C211yesmaximal, characteristic, complemented
3C2×#17988877C211yesmaximal, characteristic, complemented
4#22611269C211yesmaximal, characteristic, complemented
5#22611264C211yesmaximal, characteristic, complemented
6#22611077C211yesmaximal, characteristic, complemented
7#22611067C211yesmaximal, characteristic, complemented
8#22610888C211yesmaximal, characteristic, complemented
9#22610883C211yesmaximal, characteristic, complemented
10#22610254C211yesmaximal, characteristic
11#22610249C211yesmaximal, characteristic
12#22610128C211yesmaximal, characteristic, complemented
13#22610123C211yesmaximal, characteristic, complemented
14#22609915C211yesmaximal, characteristic, complemented
15C73×#2324C211yesmaximal, characteristic
16#17989215—24no—
17#17989215—24no—
18C2×#14556591C2211yescharacteristic
19C2×#14556591C2211yescharacteristic
20C2×#14556590—21no—
21C2×#14556583C2211yescharacteristic
22C2×#14556583C2211yescharacteristic
23C2×#14556582—21no—
24C2×#14556568—21no—
25C2×#14556568—21no—
26C2×#14556550C2211yescharacteristic
27C22×C4⋊Dic73C2211yescharacteristic
28#17988887—24no—
29#17988877—24no—
30C2×#14556524C2211yescharacteristic
31C2×#14556522C2211yescharacteristic
32C2×#14556522C2211yescharacteristic
33C2×#14556522C2211yescharacteristic
34C2×C4⋊#10596831C2211yescharacteristic
35C2×C4⋊#10596831C2211yescharacteristic
36C2×#14556512C2211yescharacteristic
37C2×#14556512C2211yescharacteristic
38C2×#14556512C2211yescharacteristic
39C2×#14556512C2211yescharacteristic
40C2×C22⋊#10596831C2211yescharacteristic
41C2×C22⋊#10596831C2211yescharacteristic
42#17988349C2211yescharacteristic
43#17988349C2211yescharacteristic
44#17988349C2211yescharacteristic
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988349C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988349C2211yescharacteristic
50#17988342C2211yescharacteristic
51#17988342C2211yescharacteristic
52C2×#121×C73C2211yescharacteristic
53C2×C4×D4×C73C2211yescharacteristic
54C2×#117×C73C2211yescharacteristic
55#390×C73—21no—
56#390×C73C2211yescharacteristic
57#389×C73C2211yescharacteristic
58#388×C73—21no—
59#386×C73—21no—
60#385×C73—21no—
61#380×C73C2211yescharacteristic
62C4×C4⋊C4×C73C2211yescharacteristic
63C22×Dic146—21no—
64C22×Dic146—21no—
65C23×Dic73—21no—
66C22×#10596831C2311yescharacteristic
67C22×#10596831C2311yescharacteristic
68C22×#10596831C2311yescharacteristic
69C22×#10596831C2311yescharacteristic
70#14556591—22no—
71#14556591—22no—
72#14556591—22no—
73#14556591D414yescomplemented
74#14556590—28no—
75#14556583—22no—
76#14556583—22no—
77#14556583—22no—
78#14556583D414yescomplemented
79#14556582—28no—
80#14556568—28no—
81#14556568—28no—
82#14556550—22no—
83#14556550—22no—
84C2×C4⋊Dic73—22no—
85C2×C4⋊Dic73—22no—
86C2×C4⋊Dic73—21no—
87C2×C4⋊Dic73—21no—
88C2×C4⋊Dic73—21no—
89C2×C4⋊Dic73C2311yescharacteristic
90C2×C4⋊Dic73C2311yescharacteristic
91C2×C4⋊Dic73C2311yescharacteristic
92C2×C4⋊Dic73C2311yescharacteristic
93C2×#11924007—21no—
94C2×#11924007—21no—
95C2×#11924007—21no—
96C2×#11924007—21no—
97C2×C22⋊Dic73—21no—
98C2×C4×Dic73—21no—
99#14556524—22no—
100#14556522—22no—
101#14556522—22no—
102#14556522—22no—
103C4⋊#10596831—22no—
104C4⋊#10596831—22no—
105#14556512—22no—
106#14556512—22no—
107#14556512—22no—
108#14556512—22no—
109C22⋊#10596831—22no—
110C22⋊#10596831—22no—
111C22×D4×C73—21no—
112C22×D4×C73C2311yescharacteristic
113C23×C4×C73—21no—
114C23×C4×C73C2311yescharacteristic
115#121×C73—22no—
116#121×C73Q814yescomplemented
117C4×D4×C73—22no—
118C4×D4×C73—22no—
119#117×C73—22no—
120#117×C73—22no—
121C2×C4⋊C4×C73—21no—
122C2×C4⋊C4×C73D411yescharacteristic
123C2×C4⋊C4×C73D411yescharacteristic
124C2×C4⋊C4×C73C2311yescharacteristic
125C2×C4⋊C4×C73C2311yescharacteristic
126C2×C4⋊C4×C73C2311yescharacteristic
127C2×C22⋊C4×C73—21no—
128C2×C22⋊C4×C73—21no—
129C2×C22⋊C4×C73—21no—
130C2×C22⋊C4×C73—21no—
131C2×C22⋊C4×C73—21no—
132C2×C22⋊C4×C73D411yescharacteristic
133C2×C22⋊C4×C73D411yescharacteristic
134C2×C42×C73—21no—
135C2×C42×C73C2311yescharacteristic
136C2×C42×C73C2311yescharacteristic
137#95×C73—21no—
138#95×C73—21no—
139#95×C73—21no—
140C2×Dic146—24no—
141C2×Dic146—24no—
142C2×Dic146—81no—
143C2×Dic146—81no—
144C2×Dic146—81no—
145C2×Dic146—81no—
146C22×Dic73—21no—
147C22×Dic73—21no—
148C22×Dic73—21no—
149C22×Dic73—21no—
150C22×Dic73—24no—
151C22×Dic73—81no—
152C22×Dic73—81no—
153C2×#10596831—21no—
154C2×#10596831—21no—
155C2×#10596831—21no—
156C2×#10596831—21no—
157C2×#10596831—21no—
158C2×#10596831—21no—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—21no—
165C4⋊Dic73—24no—
166C4⋊Dic73—24no—
167C4⋊Dic73—24no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73C2×D412yes—
173C4⋊Dic73C2×D412yes—
174C4⋊Dic73C2×D412yes—
175C4⋊Dic73C2×D412yes—
176#11924007—24no—
177#11924007—24no—
178#11924007—24no—
179#11924007—24no—
180C22⋊Dic73—24no—
181C4×Dic73—24no—
182C24×C73—21no—
183C24×C73C2×D411yescharacteristic
184C2×D4×C73—24no—
185C2×D4×C73—21no—
186C2×D4×C73—21no—
187C2×D4×C73—21no—
188C2×D4×C73—21no—
189C2×D4×C73—21no—
190C2×D4×C73—81no—
191C2×D4×C73—81no—
192C2×D4×C73C2×Q812yes—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73—21no—
196C22×C4×C73—21no—
197C22×C4×C73—21no—
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—42no—
201C22×C4×C73—81no—
202C22×C4×C73—81no—
203C22×C4×C73C2×D411yescharacteristic
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2×D411yescharacteristic
208C22×C4×C73C2×Q812yes—
209C22×C4×C73#4112yes—
210C22×C4×C73C2411yescharacteristic
211C4⋊C4×C73—22no—
212C4⋊C4×C73—22no—
213C4⋊C4×C73—21no—
214C4⋊C4×C73—21no—
215C4⋊C4×C73—21no—
216C4⋊C4×C73—21no—
217C4⋊C4×C73—21no—
218C4⋊C4×C73—81no—
219C4⋊C4×C73C2×Q812yes—
220C22⋊C4×C73—22no—
221C22⋊C4×C73—22no—
222C22⋊C4×C73—24no—
223C22⋊C4×C73—42no—
224C22⋊C4×C73—81no—
225C22⋊C4×C73—81no—
226C22⋊C4×C73—81no—
227C42×C73—21no—
228C42×C73—21no—
229C42×C73—81no—
230C42×C73C2×D412yes—
231C42×C73C2×D412yes—
232C23×C73—21no—
233C23×C73—21no—
234C23×C73—21no—
235C23×C73—21no—
236C23×C73—21no—
237C23×C73—21no—
238C23×C73—22no—
239C23×C73—41no—
240C23×C73—41no—
241C23×C73—41no—
242C23×C73—41no—
243C23×C73—41no—
244C23×C73—41no—
245C23×C73C22⋊Q812yes—
246C23×C73C22×D411yescharacteristic
247D4×C73—22no—
248D4×C73—22no—
249D4×C73—41no—
250D4×C73—41no—
251D4×C73—84no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—22no—
259C2×C4×C73—22no—
260C2×C4×C73—22no—
261C2×C4×C73—22no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—22no—
265C2×C4×C73—21no—
266C2×C4×C73—21no—
267C2×C4×C73—21no—
268C2×C4×C73—21no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73—41no—
273C2×C4×C73—41no—
274C2×C4×C73—41no—
275C2×C4×C73—41no—
276C2×C4×C73—41no—
277C2×C4×C73—84no—
278C2×C4×C73#12012yes—
279C2×C4×C73#12012yes—
280C2×C4×C73C22⋊Q812yes—
281C2×C4×C73C22×D411yescharacteristic
282C2×C4×C73C22×D411yescharacteristic
283C2×C4×C73C22×Q811yescharacteristic
284C2×C4×C73C2×#4111yescharacteristic
285C2×C4×C732−1+411yescharacteristic
286C2×C4×C732−1+411yescharacteristic
287C2×Dic73—22no—
288C2×Dic73—22no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73—41no—
297C2×Dic73—41no—
298C2×Dic73—41no—
299C2×Dic73—84no—
300Dic146—84no—
301Dic146—84no—
302#10596831—41no—
303#10596831—41no—
304#10596831—41no—
305#10596831—41no—
306C22×C73—22no—
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—41no—
310C22×C73—41no—
311C22×C73—41no—
312C22×C73—41no—
313C22×C73—42no—
314C22×C73—42no—
315C22×C73—42no—
316C22×C73—81no—
317C22×C73—81no—
318C22×C73—81no—
319C22×C73—81no—
320C22×C73C2×#12011yescharacteristic
321C22×C73C2×C22⋊Q811yescharacteristic
322C22×C73#53611yescharacteristic
323C22×C73#57611yescharacteristic
324C22×C73#57711yescharacteristic
325C22×C73#57711yescharacteristic
326C22×C73#57711yescharacteristic
327C4×C73—22no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—42no—
331C4×C73—41no—
332C4×C73—41no—
333C4×C73—81no—
334C4×C73—81no—
335C4×C73#54811yescharacteristic
336C4×C73#54811yescharacteristic
337C4×C73D4×Q811yescharacteristic
338C4×C73D4×Q811yescharacteristic
339Dic73—42no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343#24309—731nomaximal, Sylow
344C2×C73—42no—
345C2×C73—82no—
346C2×C73#240911yescharacteristic
347C2×C73#301011yescharacteristic
348C2×C73#301211yescharacteristic
349C2×C73#308111yescharacteristic
350C2×C73#308411yescharacteristic
351C2×C73#324111yescharacteristic
352C2×C73#324411yescharacteristic
353C2×#544—731no—
354C2×#478—731no—
355C2×#476—731no—
356#2324D7311yescharacteristic
357#2059—731no—
358#2058—731no—
359#2025—731no—
360#2023—731no—
361#1989—731no—
362#1988—731no—
363#1875—731no—
364#1874—731no—
365#1854—731no—
366#1853—731no—
367#1798—731no—
368C73#2430911yescharacteristic, complemented, Sylow
369#544—1464no—
370#544—1464no—
371C2×C4⋊Q8—731no—
372C2×C4⋊Q8—731no—
373C2×C4⋊Q8—1461no—
374C2×#125—731no—
375C2×#125—731no—
376C2×#125—1461no—
377C2×C22⋊Q8—1461no—
378C2×C22⋊Q8—1461no—
379C2×#121C2×D7311yescharacteristic
380C2×C4×D4C2×D7311yescharacteristic
381C2×#117—731no—
382C2×#117C2×D7311yescharacteristic
383C22×C4⋊C4—731no—
384#478—1464no—
385#476—1464no—
386C2×#107—731no—
387C2×#106—731no—
388C2×#106—731no—
389C2×#106—731no—
390C2×C4⋊C8—731no—
391C2×C4⋊C8—731no—
392C2×#102—731no—
393C2×#102—731no—
394C2×#102—731no—
395C2×#102—731no—
396C2×C22⋊C8—731no—
397C2×C22⋊C8—731no—
398#390—21no—
399#390C2×D7311yescharacteristic
400#389C2×D7311yescharacteristic
401#388—21no—
402#386—21no—
403#385—21no—
404#380C2×D7311yescharacteristic
405C4×C4⋊C4C2×D7311yescharacteristic
406#340—731no—
407#340—731no—
408#340—731no—
409#340—731no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#336—731no—
415#336—731no—
416C22×Q8—1461no—
417C22×Q8—1461no—
418C22×D4—21no—
419C22×D4C22×D7311yescharacteristic
420C23×C4—21no—
421C23×C4—1461no—
422C23×C4C22×D7311yescharacteristic
423C22×C8—731no—
424C22×C8—731no—
425C22×C8—731no—
426C22×C8—731no—
427C4⋊Q8—734no—
428C4⋊Q8—1462no—
429C4⋊Q8—1462no—
430C4⋊Q8—1468no—
431C4⋊Q8—1462no—
432#125—734no—
433#125—1462no—
434#125—1462no—
435#125—1468no—
436#125—1462no—
437C22⋊Q8—1468no—
438C22⋊Q8—1468no—
439#121—22no—
440#121Dic14614yescomplemented
441C4×D4—22no—
442C4×D4—22no—
443#117—22no—
444#117—22no—
445#117—1462no—
446#117—1462no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—731no—
450C2×C4⋊C4—731no—
451C2×C4⋊C4—731no—
452C2×C4⋊C4—1462no—
453C2×C4⋊C4—1462no—
454C2×C4⋊C4—1461no—
455C2×C4⋊C4—1461no—
456C2×C4⋊C4—1461no—
457C2×C4⋊C4—1461no—
458C2×C4⋊C4—1461no—
459C2×C4⋊C4—1461no—
460C2×C4⋊C4—1461no—
461C2×C4⋊C4C22⋊D7311yescharacteristic
462C2×C4⋊C4C22⋊D7311yescharacteristic
463C2×C4⋊C4C22×D7311yescharacteristic
464C2×C4⋊C4C22×D7311yescharacteristic
465C2×C4⋊C4C22×D7311yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—1461no—
472C2×C22⋊C4C22⋊D7311yescharacteristic
473C2×C22⋊C4C22⋊D7311yescharacteristic
474C2×C42—21no—
475C2×C42—1461no—
476C2×C42C22×D7311yescharacteristic
477C2×C42C22×D7311yescharacteristic
478#107—1462no—
479#106—1462no—
480#106—1462no—
481#106—1462no—
482C4⋊C8—1462no—
483C4⋊C8—1462no—
484#102—1462no—
485#102—1462no—
486#102—1462no—
487#102—1462no—
488C22⋊C8—1462no—
489C22⋊C8—1462no—
490#95—21no—
491#95—21no—
492#95—21no—
493C24—21no—
494C24C2×C22⋊D7311yescharacteristic
495C2×Q8—5841no—
496C2×Q8—5841no—
497C2×Q8—5841no—
498C2×Q8—5841no—
499C2×Q8—1464no—
500C2×Q8—1464no—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—81no—
508C2×D4—81no—
509C2×D4C2×Dic14612yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—5841no—
521C22×C4—5841no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4—1464no—
527C22×C4C2×C22⋊D7311yescharacteristic
528C22×C4C2×C22⋊D7311yescharacteristic
529C22×C4C2×C22⋊D7311yescharacteristic
530C22×C4C2×C22⋊D7311yescharacteristic
531C22×C4C2×C22⋊D7311yescharacteristic
532C22×C4C2×Dic14612yes—
533C22×C4#1192402812yes—
534C22×C4C23×D7311yescharacteristic
535C2×C8—1461no—
536C2×C8—1461no—
537C2×C8—1461no—
538C2×C8—1461no—
539C2×C8—1461no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—732no—
556C4⋊C4—732no—
557C4⋊C4—732no—
558C4⋊C4—732no—
559C4⋊C4—1464no—
560C4⋊C4—1464no—
561C4⋊C4—1464no—
562C4⋊C4—1464no—
563C4⋊C4—1464no—
564C4⋊C4—1464no—
565C4⋊C4—1464no—
566C4⋊C4—1461no—
567C4⋊C4—1461no—
568C4⋊C4—1461no—
569C4⋊C4—1461no—
570C4⋊C4C2×Dic14612yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—81no—
577C22⋊C4—81no—
578C22⋊C4—1464no—
579C42—21no—
580C42—21no—
581C42—81no—
582C42—1464no—
583C42D4×D7312yes—
584C42D4×D7312yes—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23#1455657012yes—
599C23C22×C22⋊D7311yescharacteristic
600Q8—5844no—
601Q8—5844no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—84no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—84no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—2921no—
640C2×C4—2921no—
641C2×C4—5844no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1462no—
645C2×C4—1462no—
646C2×C4#1455655912yes—
647C2×C4#1455655912yes—
648C2×C4#1455657012yes—
649C2×C4C2×D4×D7311yescharacteristic
650C2×C4C2×D4×D7311yescharacteristic
651C2×C4C22×Dic14611yescharacteristic
652C2×C4C2×#1192402811yescharacteristic
653C2×C4#1455663811yescharacteristic
654C2×C4#1455663811yescharacteristic
655C8—2921no—
656C8—2921no—
657C8—2921no—
658C8—2921no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22C2×#1455655911yescharacteristic
674C22C2×#1455657011yescharacteristic
675C22#1798915811yescharacteristic
676C22#1798939011yescharacteristic
677C22#1798939511yescharacteristic
678C22#1798939811yescharacteristic
679C22#1798939811yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—41no—
684C4—41no—
685C4—42no—
686C4—81no—
687C4—81no—
688C4—2922no—
689C4—2922no—
690C4—2922no—
691C4—2922no—
692C4#1798924611yescharacteristic
693C4#1798924611yescharacteristic
694C4D4×Dic14611yescharacteristic
695C4D4×Dic14611yescharacteristic
696C2—42no—
697C2—82no—
698C2#2261329611yescharacteristic
699C2#2261921511yescharacteristic
700C2#2261923211yescharacteristic
701C2#2261976211yescharacteristic
702C2#2261979311yescharacteristic
703C2#2262117811yescharacteristic
704C2#2262122311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutator, cosocleC22×C4×C73C24
FrattiniC22×C4C23×D73
FittingC73×#2324C2
socleC23×C73C22×D4
prime radicalC2×#121×C73C22
hypercenter#2324D73
hypocenterC73#24309
LCSG ▷ C22×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
1. C2×#17989215C2semidirect
2. C2×#17988887C2semidirect
3. C2×#17988877C2semidirect
4. #22611269C2semidirect
5. #22611264C2semidirect
6. #22611077C2semidirect
7. #22611067C2semidirect
8. #22610888C2semidirect
9. #22610883C2semidirect
12. #22610128C2semidirect
13. #22610123C2semidirect
14. #22609915C2semidirect
73. #14556591D4semidirect
78. #14556583D4semidirect
116. #121×C73Q8semidirect
368. C73#24309semidirect
440. #121Dic146semidirect

Maximal subgroups

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

subgroupindex
C2×#179892152
C2×#179888872
C2×#179888772
#226112692
#226112642
#226110772
#226110672
#226108882
#226108832
#226102542
#226102492
#226101282
#226101232
#226099152
C73×#23242
#2430973