Finite Group Databasebeta

← #33108336

Subgroups — #33108336

Order 18688.

1022 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988799C211yesmaximal, characteristic
2C2×#17988697C211yesmaximal, characteristic
3C2×#17988685C211yesmaximal, characteristic, complemented
4#22612842C211yesmaximal, characteristic, complemented
5#22610743C211yesmaximal, characteristic, complemented
6#22610699C211yesmaximal, characteristic, complemented
7#22610631C211yesmaximal, characteristic, complemented
8#22610624C211yesmaximal, characteristic, complemented
9#22610282C211yesmaximal, characteristic
10#22610268C211yesmaximal, characteristic, complemented
11#22610199C211yesmaximal, characteristic, complemented
12#22610178C211yesmaximal, characteristic, complemented
13#22609800C211yesmaximal, characteristic, complemented
14C4×#14556511C211yesmaximal, characteristic, complemented
15C73×#2367C211yesmaximal, characteristic, complemented
16C22×#11924015C2211yescharacteristic
17C22×#11924013C2211yescharacteristic
18C2×C4×D292C2211yescharacteristic
19C2×C4×D292C2211yescharacteristic
20C2×C4×D292C2211yescharacteristic
21#17988799C418yescomplemented
22#17988697—24no—
23#17988685—24no—
24C2×#14556524C2211yescharacteristic
25C2×#14556522C2211yescharacteristic
26C2×C4⋊#10596831C2211yescharacteristic
27C2×#14556515C2211yescharacteristic
28C2×#14556515C2211yescharacteristic
29C2×#14556515C2211yescharacteristic
30C2×#14556512C2211yescharacteristic
31C2×#14556512C2211yescharacteristic
32C2×#14556512C2211yescharacteristic
33C2×#14556511C2211yescharacteristic
34C2×#14556511C2211yescharacteristic
35C2×#14556502C2211yescharacteristic
36C2×#14556502C2211yescharacteristic
37C2×C4×#10596831C2211yescharacteristic
38#17988485C2211yescharacteristic
39#17988485C2211yescharacteristic
40#17988458—21no—
41#17988458—21no—
42#17988453C2211yescharacteristic
43#17988446—21no—
44#95×D73—21no—
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988349C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988342C2211yescharacteristic
50#17988342C2211yescharacteristic
51C2×#124×C73C2211yescharacteristic
52C2×C4×Q8×C73C2211yescharacteristic
53C2×C4×D4×C73C2211yescharacteristic
54#391×C73C2211yescharacteristic
55#390×C73C2211yescharacteristic
56#388×C73—21no—
57#388×C73—21no—
58#385×C73—21no—
59C4×C4⋊C4×C73C2211yescharacteristic
60C4×C4⋊C4×C73C2211yescharacteristic
61C4×C22⋊C4×C73—21no—
62C22×D292C2311yescharacteristic
63C22×C4×D73—21no—
64C22×C4×D73—21no—
65C22×C4×D73—21no—
66C2×#11924015—22no—
67C2×#11924015—22no—
68C2×#11924015C2×C414yescomplemented
69C2×#11924013—22no—
70C2×#11924013—22no—
71C2×#11924013C2×C414yes—
72C22×#10596831C2311yescharacteristic
73C22×#10596831C2311yescharacteristic
74C22×#10596831C2311yescharacteristic
75C22×#10596831C2311yescharacteristic
76C4×D292—22no—
77C4×D292—22no—
78C4×D292—22no—
79C4×D292—41no—
80C4×D292—41no—
81C4×D292C2×C414yescomplemented
82C2×C4⋊Dic73C2311yescharacteristic
83C2×C4⋊Dic73C2311yescharacteristic
84C2×C4⋊Dic73C2311yescharacteristic
85C2×#11924007—21no—
86C2×#11924007—21no—
87C2×#11924005—21no—
88C2×#11924005—21no—
89C2×#11924005—21no—
90#14556524—22no—
91#14556522—22no—
92C4⋊#10596831C2×C414yescomplemented
93#14556515—22no—
94#14556515—41no—
95#14556515C2×C414yescomplemented
96#14556512—22no—
97#14556512—41no—
98#14556512C2×C414yescomplemented
99#14556511—22no—
100#14556511D414yes—
101#14556502—22no—
102#14556502—22no—
103C4×#10596831—22no—
104#14556498—21no—
105#14556498—21no—
106#14556498—21no—
107#14556498—21no—
108C22×Q8×C73C2311yescharacteristic
109C22×D4×C73C2311yescharacteristic
110C23×C4×C73—21no—
111#124×C73—22no—
112#124×C73C2×C414yescomplemented
113C4×Q8×C73—22no—
114C4×Q8×C73—41no—
115C4×D4×C73—22no—
116C4×D4×C73—41no—
117C2×C4⋊C4×C73—21no—
118C2×C4⋊C4×C73D411yescharacteristic
119C2×C4⋊C4×C73D411yescharacteristic
120C2×C4⋊C4×C73C2311yescharacteristic
121C2×C4⋊C4×C73C2311yescharacteristic
122C2×C22⋊C4×C73—21no—
123C2×C22⋊C4×C73—21no—
124C2×C22⋊C4×C73—21no—
125C2×C22⋊C4×C73—21no—
126C2×C22⋊C4×C73—21no—
127C2×C42×C73—21no—
128C2×C42×C73—21no—
129C2×C42×C73C2311yescharacteristic
130C2×C42×C73C2311yescharacteristic
131C2×C42×C73C2311yescharacteristic
132#95×C73—21no—
133#95×C73—21no—
134#95×C73—21no—
135#95×C73D411yescharacteristic
136#95×C73D411yescharacteristic
137C23×D73—21no—
138C2×D292—21no—
139C2×D292—21no—
140C2×D292—21no—
141C2×D292C22×C412yes—
142C2×D292C2×D412yes—
143C2×D292#4112yes—
144C22×Dic73—21no—
145C22×Dic73—21no—
146C22×Dic73—21no—
147C2×C4×D73—24no—
148C2×C4×D73—42no—
149C2×C4×D73—42no—
150C2×C4×D73—42no—
151C2×C4×D73—42no—
152C2×C4×D73—81no—
153C2×C4×D73—81no—
154C2×C4×D73—81no—
155C2×C4×D73—81no—
156#11924015—28no—
157#11924013—28no—
158C2×#10596831—21no—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—21no—
165C2×#10596831—21no—
166C2×#10596831—21no—
167C2×#10596831C22×C412yes—
168C2×#10596831C22×C412yes—
169C2×#10596831C2×D412yes—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—21no—
175C4⋊Dic73C22×C412yes—
176#11924007—81no—
177#11924007—81no—
178#11924005—24no—
179#11924005—42no—
180#11924005—42no—
181C24×C73—21no—
182C2×Q8×C73—21no—
183C2×Q8×C73—21no—
184C2×Q8×C73—21no—
185C2×Q8×C73—21no—
186C2×Q8×C73—21no—
187C2×Q8×C73C22×C412yes—
188C2×D4×C73—21no—
189C2×D4×C73—21no—
190C2×D4×C73—21no—
191C2×D4×C73—21no—
192C2×D4×C73—21no—
193C2×D4×C73C22×C412yes—
194C22×C4×C73—21no—
195C22×C4×C73—21no—
196C22×C4×C73—21no—
197C22×C4×C73—42no—
198C22×C4×C73—42no—
199C22×C4×C73—81no—
200C22×C4×C73C2×D411yescharacteristic
201C22×C4×C73C2×D411yescharacteristic
202C22×C4×C73C2×D411yescharacteristic
203C22×C4×C73C2×D411yescharacteristic
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2411yescharacteristic
207C4⋊C4×C73—21no—
208C4⋊C4×C73—21no—
209C4⋊C4×C73—21no—
210C4⋊C4×C73—41no—
211C4⋊C4×C73—41no—
212C4⋊C4×C73—42no—
213C4⋊C4×C73C2×D412yes—
214C22⋊C4×C73—24no—
215C22⋊C4×C73—24no—
216C22⋊C4×C73—42no—
217C22⋊C4×C73—42no—
218C22⋊C4×C73—81no—
219C42×C73—21no—
220C42×C73—21no—
221C42×C73—21no—
222C42×C73—21no—
223C42×C73—42no—
224C42×C73—81no—
225C42×C73C22×C412yes—
226C42×C73#4112yes—
227C23×C73—22no—
228C23×C73—41no—
229C23×C73—41no—
230C23×C73—41no—
231C23×C73—41no—
232C23×C73—41no—
233C23×C73—41no—
234C23×C73C22×D411yescharacteristic
235C22×D73—22no—
236C22×D73—22no—
237C22×D73—22no—
238C22×D73—41no—
239C22×D73—41no—
240C22×D73—41no—
241C22×D73—41no—
242Q8×C73—22no—
243Q8×C73—22no—
244Q8×C73—41no—
245Q8×C73—41no—
246D4×C73—22no—
247D4×C73—22no—
248D4×C73—41no—
249D4×C73—41no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—22no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—22no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—21no—
266C2×C4×C73—21no—
267C2×C4×C73—21no—
268C2×C4×C73—41no—
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—84no—
276C2×C4×C73C4×D412yes—
277C2×C4×C73C4×D412yes—
278C2×C4×C73C23×C411yescharacteristic
279C2×C4×C73C22×D411yescharacteristic
280C2×C4×C73C2×#4111yescharacteristic
281C2×C4×C73C2×#4111yescharacteristic
282C2×C4×C73H(5,𝔽2)11yescharacteristic
283C2×C4×C732−1+411yescharacteristic
284C2×Dic73—22no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293D292—22no—
294D292—22no—
295D292—22no—
296D292C4×D414yes—
297C4×D73—84no—
298C4×D73—84no—
299C4×D73—84no—
300#10596831—22no—
301#10596831—22no—
302#10596831—22no—
303#10596831—41no—
304C22×C73—42no—
305C22×C73—42no—
306C22×C73—42no—
307C22×C73—81no—
308C22×C73—81no—
309C22×C73—81no—
310C22×C73—81no—
311C22×C73C2×C4×D411yescharacteristic
312C22×C73D4211yescharacteristic
313C22×C73#54811yescharacteristic
314C22×C73#57511yescharacteristic
315C22×C73#57511yescharacteristic
316C22×C73#57611yescharacteristic
317C22×C73#57711yescharacteristic
318C2×D73—24no—
319C2×D73—42no—
320C2×D73—42no—
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—42no—
324C2×D73—42no—
325C4×C73—22no—
326C4×C73—22no—
327C4×C73—42no—
328C4×C73—41no—
329C4×C73—41no—
330C4×C73—42no—
331C4×C73—41no—
332C4×C73—41no—
333C4×C73—81no—
334C4×C73C2×C4×D411yescharacteristic
335C4×C73#52011yescharacteristic
336C4×C73#54711yescharacteristic
337C4×C73#55311yescharacteristic
338Dic73—42no—
339Dic73—81no—
340Dic73—81no—
341#23005—731nomaximal, Sylow
342C2×C73—82no—
343C2×C73#236111yescharacteristic
344C2×C73#294311yescharacteristic
345C2×C73#294611yescharacteristic
346C2×C73#327311yescharacteristic
347C2×C73#327511yescharacteristic
348C2×C73#337011yescharacteristic
349C2×C73#337611yescharacteristic
350D73—44no—
351C2×#463—731no—
352C2×#442—731no—
353C2×#440—731no—
354#2367D7311yescharacteristic, complemented
355#2349—731no—
356#1958—731no—
357#1949—731no—
358#1936—731no—
359#1935—731no—
360#1879—731no—
361#1877—731no—
362#1865—731no—
363#1862—731no—
364#1770—731no—
365C4×#102—731no—
366C73#2300511yescharacteristic, complemented, Sylow
367C22×SD16—731no—
368C22×D8—731no—
369C2×#124C2×D7311yescharacteristic
370C2×C4×Q8C2×D7311yescharacteristic
371C2×C4×D4—731no—
372C2×C4×D4—731no—
373C2×C4×D4—731no—
374C2×C4×D4C2×D7311yescharacteristic
375#463—738no—
376#442—1464no—
377#440—1464no—
378C2×#107—731no—
379C2×#106—731no—
380C2×C4⋊C8—731no—
381C2×#103—731no—
382C2×#103—731no—
383C2×#103—731no—
384C2×#102—731no—
385C2×#102—731no—
386C2×#102—731no—
387C2×#102—731no—
388C2×#102—731no—
389C2×#97—731no—
390C2×#97—731no—
391C2×C4×C8—731no—
392#391C2×D7311yescharacteristic
393#390C2×D7311yescharacteristic
394#389—731no—
395#389—731no—
396#388—21no—
397#388—21no—
398#385—21no—
399#385—1461no—
400#385—1461no—
401#382—731no—
402#380—1461no—
403C4×C4⋊C4C2×D7311yescharacteristic
404C4×C4⋊C4C2×D7311yescharacteristic
405C4×C22⋊C4—21no—
406C2×#95—1461no—
407#340—731no—
408#340—731no—
409#340—731no—
410#340—731no—
411#336—731no—
412#336—731no—
413C22×Q8C22×D7311yescharacteristic
414C22×D4—731no—
415C22×D4C22×D7311yescharacteristic
416C23×C4—21no—
417C23×C4—1461no—
418C23×C4—1461no—
419C23×C4—1461no—
420C2×SD16—734no—
421C2×SD16—1462no—
422C2×SD16—1462no—
423C2×D8—734no—
424C2×D8—1462no—
425C2×D8—1462no—
426C22×C8—731no—
427C22×C8—731no—
428C22×C8—731no—
429C22×C8—731no—
430#124—22no—
431#124C4×D7314yescomplemented
432C4×Q8—22no—
433C4×Q8—41no—
434C4×D4—22no—
435C4×D4—41no—
436C4×D4—2921no—
437C4×D4—2921no—
438C4×D4—734no—
439C4×D4—1462no—
440C4×D4—1462no—
441C4×D4—1462no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—731no—
444C2×C4⋊C4—731no—
445C2×C4⋊C4—731no—
446C2×C4⋊C4—1461no—
447C2×C4⋊C4—1461no—
448C2×C4⋊C4C22⋊D7311yescharacteristic
449C2×C4⋊C4C22⋊D7311yescharacteristic
450C2×C4⋊C4C22×D7311yescharacteristic
451C2×C4⋊C4C22×D7311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42C22×D7311yescharacteristic
463C2×C42C22×D7311yescharacteristic
464C2×C42C22×D7311yescharacteristic
465#107—1462no—
466#106—1462no—
467C4⋊C8—734no—
468#103—2921no—
469#103—734no—
470#103—1462no—
471#102—2921no—
472#102—734no—
473#102—734no—
474#102—1462no—
475#102—1462no—
476#97—1462no—
477#97—1462no—
478C4×C8—1462no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—1461no—
483#95—1461no—
484#95—1461no—
485#95—1461no—
486#95C22⋊D7311yescharacteristic
487#95C22⋊D7311yescharacteristic
488C24—21no—
489C24—1461no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8C2×C4×D7312yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—732no—
502C2×D4—732no—
503C2×D4—732no—
504C2×D4—1461no—
505C2×D4—1461no—
506C2×D4—1461no—
507C2×D4C2×C4×D7312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—81no—
514C22×C4—2922no—
515C22×C4—2922no—
516C22×C4—2922no—
517C22×C4—2922no—
518C22×C4—5841no—
519C22×C4—5841no—
520C22×C4—5841no—
521C22×C4—5841no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1464no—
526C22×C4C2×C22⋊D7311yescharacteristic
527C22×C4C2×C22⋊D7311yescharacteristic
528C22×C4C2×C22⋊D7311yescharacteristic
529C22×C4C2×C22⋊D7311yescharacteristic
530C22×C4C2×C22⋊D7311yescharacteristic
531C22×C4C2×C22⋊D7311yescharacteristic
532C22×C4C23×D7311yescharacteristic
533SD16—1468no—
534D8—1468no—
535C2×C8—732no—
536C2×C8—732no—
537C2×C8—732no—
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—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—41no—
551C4⋊C4—41no—
552C4⋊C4—42no—
553C4⋊C4—5841no—
554C4⋊C4—5841no—
555C4⋊C4—732no—
556C4⋊C4—1461no—
557C4⋊C4—1461no—
558C4⋊C4—1461no—
559C4⋊C4—1461no—
560C4⋊C4—1461no—
561C4⋊C4D4×D7312yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—81no—
567C22⋊C4—2922no—
568C22⋊C4—2922no—
569C22⋊C4—1464no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—42no—
575C42—81no—
576C42C2×C4×D7312yes—
577C42#1192402812yes—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—2921no—
586C23—2921no—
587C23—2921no—
588C23—2921no—
589C23—1462no—
590C23—1462no—
591C23—1462no—
592C23C22×C22⋊D7311yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—41no—
596Q8—41no—
597D4—22no—
598D4—22no—
599D4—41no—
600D4—41no—
601D4—734no—
602D4—1462no—
603D4—1462no—
604D4—1462no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—84no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—5844no—
640C2×C4—5844no—
641C2×C4—5844no—
642C2×C4—1462no—
643C2×C4C4×C22⋊D7312yes—
644C2×C4C4×C22⋊D7312yes—
645C2×C4C22×C4×D7311yescharacteristic
646C2×C4C2×D4×D7311yescharacteristic
647C2×C4#41×D7311yescharacteristic
648C2×C4C2×#1192402811yescharacteristic
649C2×C4#1455663611yescharacteristic
650C2×C4#1455663811yescharacteristic
651C8—2921no—
652C8—1462no—
653C8—1462no—
654C8—1462no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—2922no—
663C22—2922no—
664C22—2922no—
665C22—2922no—
666C22—2922no—
667C22—2922no—
668C22—1464no—
669C22C2×C4×C22⋊D7311yescharacteristic
670C22D4×C22⋊D7311yescharacteristic
671C22#1798924411yescharacteristic
672C22#1798938511yescharacteristic
673C22#1798938511yescharacteristic
674C22#1798939011yescharacteristic
675C22#1798939511yescharacteristic
676C4—22no—
677C4—22no—
678C4—41no—
679C4—41no—
680C4—42no—
681C4—41no—
682C4—41no—
683C4—42no—
684C4—81no—
685C4—2922no—
686C4—5841no—
687C4—5841no—
688C4C4×D4×D7311yescharacteristic
689C4#1798906611yescharacteristic
690C4#1798924211yescharacteristic
691C4#1798928711yescharacteristic
692C2—82no—
693C2—2924no—
694C2#2261294311yescharacteristic
695C2#2261872911yescharacteristic
696C2#2261875911yescharacteristic
697C2#2262153811yescharacteristic
698C2#2262156311yescharacteristic
699C2#2262267811yescharacteristic
700C2#2262275211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2367C2
socleC23×C73C22×D4
prime radicalC22×#11924013C22
cosocleC22×C4×C73C24
hypercenter#2367D73
hypocenterC73#23005
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2367

Complements

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

NH ≅ G/Ntype
3. C2×#17988685C2semidirect
4. #22612842C2semidirect
5. #22610743C2semidirect
6. #22610699C2semidirect
7. #22610631C2semidirect
8. #22610624C2semidirect
10. #22610268C2semidirect
11. #22610199C2semidirect
12. #22610178C2semidirect
13. #22609800C2semidirect
14. C4×#14556511C2semidirect
15. C73×#2367C2semidirect
21. #17988799C4semidirect
68. C2×#11924015C2×C4semidirect
81. C4×D292C2×C4semidirect
92. C4⋊#10596831C2×C4semidirect
95. #14556515C2×C4semidirect
98. #14556512C2×C4semidirect
112. #124×C73C2×C4semidirect
354. #2367D73semidirect
366. C73#23005semidirect
431. #124C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179887992
C2×#179886972
C2×#179886852
#226128422
#226107432
#226106992
#226106312
#226106242
#226102822
#226102682
#226101992
#226101782
#226098002
C4×#145565112
C73×#23672
#2300573