Finite Group Databasebeta

← #1928×D73 #33088366

Subgroups — #1928×D73 #33088366

Order 18688.

1238 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×#107×D73C211yesmaximal, characteristic
2C2×#103×D73C211yesmaximal, characteristic
3C2×#103×D73C211yesmaximal, characteristic
4#391×D73C211yesmaximal, characteristic
5C4×C4⋊C4×D73C211yesmaximal, characteristic
6#22610575C211yesmaximal, characteristic, complemented
7#22610574C211yesmaximal, characteristic, complemented
8#22610573C211yesmaximal, characteristic, complemented
9#22610572C211yesmaximal, characteristic, complemented
10#22610571C211yesmaximal, characteristic, complemented
11#22610570C211yesmaximal, characteristic, complemented
12#22610569C211yesmaximal, characteristic, complemented
13#340×D73C211yesmaximal, characteristic
14#336×D73C211yesmaximal, characteristic
15C73×#1928C211yesmaximal, characteristic, complemented
16C22×Q8×D73C2211yescharacteristic
17C22×C8×D73C2211yescharacteristic
18C22×C8×D73C2211yescharacteristic
19C2×C4⋊C4×D73C2211yescharacteristic
20C2×C4⋊C4×D73C2211yescharacteristic
21C2×C4⋊C4×D73C2211yescharacteristic
22C2×C42×D73—21no—
23C2×C42×D73C2211yescharacteristic
24C2×#14556525C2211yescharacteristic
25C2×#14556524C2211yescharacteristic
26C2×#14556524C2211yescharacteristic
27#107×D73—24no—
28C2×#14556516C2211yescharacteristic
29C2×#14556516C2211yescharacteristic
30C2×#14556515C2211yescharacteristic
31C2×#14556515C2211yescharacteristic
32C2×#14556514C2211yescharacteristic
33C2×#14556514C2211yescharacteristic
34#103×D73—24no—
35#103×D73C418yescomplemented
36#17988494C2211yescharacteristic
37#17988493C2211yescharacteristic
38#17988492C2211yescharacteristic
39#17988491—21no—
40#17988491—21no—
41C4⋊C4×Dic73C2211yescharacteristic
42C4⋊C4×Dic73C2211yescharacteristic
43C4×#11924007—21no—
44C4×C4⋊Dic73C2211yescharacteristic
45#17988438—21no—
46#95×D73—21no—
47#95×D73—21no—
48#95×D73—21no—
49#17988350C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988342C2211yescharacteristic
53#17988341C2211yescharacteristic
54#17988341C2211yescharacteristic
55C2×#107×C73C2211yescharacteristic
56C2×#103×C73C2211yescharacteristic
57C2×#103×C73C2211yescharacteristic
58#391×C73C2211yescharacteristic
59C4×C4⋊C4×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#336×C73C2211yescharacteristic
62C22×Dic146—21no—
63C22×Dic146C2311yescharacteristic
64C2×Q8×D73—22no—
65C2×Q8×D73—22no—
66C2×Q8×D73—22no—
67C2×Q8×D73—22no—
68C2×Q8×D73—22no—
69C2×Q8×D73C2×C414yes—
70C22×C4×D73—21no—
71C22×C4×D73—21no—
72C22×C4×D73—21no—
73C22×C4×D73—21no—
74C22×C4×D73D411yescharacteristic
75C22×C4×D73D411yescharacteristic
76C22×C4×D73C2311yescharacteristic
77C22×#10596831C2311yescharacteristic
78C22×#10596831C2311yescharacteristic
79C2×C8×D73—22no—
80C2×C8×D73—22no—
81C2×C8×D73—22no—
82C2×C8×D73—22no—
83C2×C8×D73—22no—
84C2×C8×D73C2×C414yes—
85C2×C4⋊Dic73C2311yescharacteristic
86C2×C4⋊Dic73C2311yescharacteristic
87C2×C4⋊Dic73C2311yescharacteristic
88C2×#11924007—21no—
89C2×#11924007—21no—
90C2×#11924007—21no—
91C4⋊C4×D73—22no—
92C4⋊C4×D73—22no—
93C4⋊C4×D73—22no—
94C4⋊C4×D73—22no—
95C4⋊C4×D73C2×C414yes—
96C4⋊C4×D73D414yes—
97C2×C4×Dic73—21no—
98C2×C4×Dic73—21no—
99C2×C4×Dic73—21no—
100C2×C4×Dic73D411yescharacteristic
101C2×C4×Dic73D411yescharacteristic
102C2×C4×Dic73C2311yescharacteristic
103C42×D73—22no—
104C42×D73—22no—
105C42×D73—44no—
106#14556525—22no—
107#14556524—22no—
108#14556524—22no—
109#14556516—22no—
110#14556516C2×C414yescomplemented
111#14556515—22no—
112#14556515C2×C414yescomplemented
113#14556514—22no—
114#14556514C2×C414yescomplemented
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118#14556498—21no—
119#14556498—21no—
120#14556498—21no—
121#14556498—21no—
122#14556498—21no—
123#14556498—21no—
124C22×Q8×C73C2311yescharacteristic
125C22×C8×C73C2311yescharacteristic
126C22×C8×C73C2311yescharacteristic
127C2×C4⋊C4×C73C2311yescharacteristic
128C2×C4⋊C4×C73C2311yescharacteristic
129C2×C4⋊C4×C73C2311yescharacteristic
130C2×C42×C73—21no—
131C2×C42×C73C2311yescharacteristic
132#107×C73—22no—
133#103×C73—22no—
134#103×C73C2×C414yescomplemented
135#95×C73—21no—
136#95×C73—21no—
137#95×C73—21no—
138C23×D73C2×D411yescharacteristic
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146—21no—
144C2×Dic146—24no—
145C2×Dic146—42no—
146C2×Dic146—42no—
147C2×Dic146C22×C412yes—
148Q8×D73—28no—
149Q8×D73—28no—
150Q8×D73—44no—
151Q8×D73—44no—
152C22×Dic73—21no—
153C22×Dic73—21no—
154C22×Dic73—21no—
155C22×Dic73—21no—
156C22×Dic73C2×D411yescharacteristic
157C22×Dic73C2×D411yescharacteristic
158C22×Dic73C2×D411yescharacteristic
159C2×C4×D73—22no—
160C2×C4×D73—22no—
161C2×C4×D73—24no—
162C2×C4×D73—24no—
163C2×C4×D73—24no—
164C2×C4×D73—22no—
165C2×C4×D73—22no—
166C2×C4×D73—22no—
167C2×C4×D73—42no—
168C2×C4×D73—42no—
169C2×C4×D73—42no—
170C2×C4×D73—42no—
171C2×C4×D73—42no—
172C2×C4×D73—42no—
173C2×C4×D73—42no—
174C2×C4×D73—42no—
175C2×C4×D73—42no—
176C2×C4×D73Q1614yes—
177C2×C4×D73C22×C412yes—
178C2×C4×D73C2×D412yes—
179C2×C4×D73#4112yes—
180C2×C4×D73#4112yes—
181C2×C4×D73#4112yes—
182C2×C4×D73#4112yes—
183C2×#10596831—21no—
184C2×#10596831—21no—
185C2×#10596831—21no—
186C2×#10596831—21no—
187C2×#10596831—21no—
188C2×#10596831C22×C412yes—
189C8×D73—28no—
190C8×D73—44no—
191C4⋊Dic73—21no—
192C4⋊Dic73—21no—
193C4⋊Dic73—21no—
194C4⋊Dic73—21no—
195C4⋊Dic73C22×C412yes—
196C4⋊Dic73C2×D412yes—
197#11924007—24no—
198#11924007—24no—
199#11924007—42no—
200C4×Dic73—21no—
201C4×Dic73—21no—
202C4×Dic73—22no—
203C4×Dic73—22no—
204C4×Dic73—42no—
205C4×Dic73—42no—
206C4×Dic73—42no—
207C2×Q8×C73—21no—
208C2×Q8×C73—21no—
209C2×Q8×C73—21no—
210C2×Q8×C73—21no—
211C2×Q8×C73—21no—
212C2×Q8×C73C22×C412yes—
213C22×C4×C73—21no—
214C22×C4×C73—21no—
215C22×C4×C73—21no—
216C22×C4×C73—21no—
217C22×C4×C73C2×D411yescharacteristic
218C22×C4×C73C2×D411yescharacteristic
219C22×C4×C73C2411yescharacteristic
220C2×C8×C73—21no—
221C2×C8×C73—21no—
222C2×C8×C73—21no—
223C2×C8×C73—21no—
224C2×C8×C73—21no—
225C2×C8×C73C22×C412yes—
226C4⋊C4×C73—21no—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—21no—
230C4⋊C4×C73C22×C412yes—
231C4⋊C4×C73C2×D412yes—
232C42×C73—21no—
233C42×C73—21no—
234C42×C73—42no—
235C23×C73C22×D411yescharacteristic
236C22×D73C4×D412yes—
237C22×D73#12112yes—
238C22×D73#12312yes—
239C22×D73C2×Q1612yes—
240C22×D73#13512yes—
241C22×D73AGL(1,ℤ/8)12yes—
242C22×D73#13712yes—
243Q8×C73—22no—
244Q8×C73—22no—
245Q8×C73—41no—
246Q8×C73—41no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—22no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—41no—
256C2×C4×C73—41no—
257C2×C4×C73—41no—
258C2×C4×C73—41no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73C2×Q1612yes—
265C2×C4×C73C23×C411yescharacteristic
266C2×C4×C73C22×D411yescharacteristic
267C2×C4×C73C2×#4111yescharacteristic
268C2×C4×C73C2×#4111yescharacteristic
269C2×C4×C73C2×#4111yescharacteristic
270C2×C4×C73C2×#4111yescharacteristic
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—22no—
274C2×Dic73—22no—
275C2×Dic73—22no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—41no—
280C2×Dic73—41no—
281C2×Dic73—41no—
282C2×Dic73—41no—
283C2×Dic73—41no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73C4×D412yes—
289C2×Dic73#12112yes—
290C2×Dic73#12312yes—
291C2×Dic73C2×Q1612yes—
292C4×D73—28no—
293C4×D73—48no—
294C4×D73—48no—
295C4×D73—48no—
296C4×D73—44no—
297C4×D73—84no—
298C4×D73#11714yes—
299C4×D73C4×D414yes—
300C4×D73#12414yes—
301C4×D73#12614yes—
302Dic146—22no—
303Dic146—22no—
304Dic146—41no—
305Dic146—41no—
306Dic146—48no—
307C8×C73—22no—
308C8×C73—41no—
309#10596831—22no—
310#10596831—41no—
311C22×C73C2×C4×D411yescharacteristic
312C22×C73C2×#12111yescharacteristic
313C22×C73C2×#12311yescharacteristic
314C22×C73C22×Q1611yescharacteristic
315C22×C73C2×#13511yescharacteristic
316C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
317C22×C73C2×#13711yescharacteristic
318C2×D73#38814yes—
319C2×D73C4×Q1614yes—
320C2×D73#44014yes—
321C2×D73#46214yes—
322C2×D73#46314yes—
323C2×D73#48414yes—
324C2×D73#48514yes—
325C4×C73—22no—
326C4×C73—41no—
327C4×C73—42no—
328C4×C73—42no—
329C4×C73—42no—
330C4×C73—81no—
331C4×C73C2×#11711yescharacteristic
332C4×C73C2×C4×D411yescharacteristic
333C4×C73C2×#12411yescharacteristic
334C4×C73C2×#12611yescharacteristic
335Dic73—22no—
336Dic73—41no—
337Dic73—42no—
338Dic73—42no—
339Dic73—42no—
340Dic73—81no—
341Dic73#38814yes—
342C2×#1928—731nomaximal, Sylow
343C2×C73C2×#38811yescharacteristic
344C2×C73C2×C4×Q1611yescharacteristic
345C2×C73C2×#44011yescharacteristic
346C2×C73C2×#46311yescharacteristic
347C2×C73C2×#46211yescharacteristic
348C2×C73C2×#48511yescharacteristic
349C2×C73C2×#48411yescharacteristic
350D73#192818yesdirect product factor
351C22×#107—731no—
352C22×#103—731no—
353C22×#103—731no—
354C2×#391—731no—
355C2×C4×C4⋊C4—731no—
356#1928—731no—
357#1928—731no—
358#1928—731no—
359#1928—731no—
360#1928—731no—
361#1928—731no—
362#1928—731no—
363#1928D7311yescharacteristic, direct product factor
364C2×#340—731no—
365C2×#336—731no—
366C73C2×#192811yescharacteristic, complemented, Sylow
367C23×Q8—731no—
368C23×C8—731no—
369C23×C8—731no—
370C22×C4⋊C4—731no—
371C22×C4⋊C4—731no—
372C22×C4⋊C4—731no—
373C22×C42—731no—
374C22×C42—1461no—
375C2×#107—731no—
376C2×#107—731no—
377C2×#107—731no—
378C2×#107—1464no—
379C2×#107C2×D7311yescharacteristic
380C2×#103—731no—
381C2×#103—731no—
382C2×#103—731no—
383C2×#103—738no—
384C2×#103—731no—
385C2×#103—731no—
386C2×#103—731no—
387C2×#103—1464no—
388C2×#103C2×D7311yescharacteristic
389C2×#103C2×D7311yescharacteristic
390#391—731no—
391#391—731no—
392#391—731no—
393#391—1461no—
394#391—1461no—
395#391C2×D7311yescharacteristic
396C4×C4⋊C4—731no—
397C4×C4⋊C4—731no—
398C4×C4⋊C4—731no—
399C4×C4⋊C4—1461no—
400C4×C4⋊C4—1461no—
401C4×C4⋊C4C2×D7311yescharacteristic
402C2×#95—1461no—
403C2×#95—1461no—
404C2×#95—1461no—
405#340—731no—
406#340—731no—
407#340—731no—
408#340C2×D7311yescharacteristic
409#336—731no—
410#336—731no—
411#336—731no—
412#336C2×D7311yescharacteristic
413C22×Q8—734no—
414C22×Q8—731no—
415C22×Q8—1461no—
416C22×Q8—1462no—
417C22×Q8—1462no—
418C22×Q8—1462no—
419C22×Q8—1462no—
420C22×Q8—1462no—
421C22×Q8C22×D7311yescharacteristic
422C23×C4—731no—
423C23×C4—731no—
424C23×C4—731no—
425C23×C4—1461no—
426C23×C4—1461no—
427C23×C4—1461no—
428C23×C4—1461no—
429C22×C8—731no—
430C22×C8—734no—
431C22×C8—731no—
432C22×C8—1462no—
433C22×C8—1462no—
434C22×C8—1462no—
435C22×C8—1462no—
436C22×C8—1462no—
437C22×C8C22×D7311yescharacteristic
438C22×C8C22×D7311yescharacteristic
439C2×C4⋊C4—731no—
440C2×C4⋊C4—731no—
441C2×C4⋊C4—734no—
442C2×C4⋊C4—734no—
443C2×C4⋊C4—731no—
444C2×C4⋊C4—1462no—
445C2×C4⋊C4—1462no—
446C2×C4⋊C4—1462no—
447C2×C4⋊C4—1462no—
448C2×C4⋊C4—1461no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4C22×D7311yescharacteristic
452C2×C4⋊C4C22×D7311yescharacteristic
453C2×C4⋊C4C22×D7311yescharacteristic
454C2×C42—21no—
455C2×C42—2924no—
456C2×C42—731no—
457C2×C42—731no—
458C2×C42—731no—
459C2×C42—1462no—
460C2×C42—1462no—
461C2×C42—1461no—
462C2×C42—1461no—
463C2×C42—1461no—
464C2×C42C22×D7311yescharacteristic
465#107—22no—
466#107—1462no—
467#107—1462no—
468#107—1462no—
469#103—22no—
470#103—734no—
471#103—734no—
472#103—734no—
473#103—1462no—
474#103—1462no—
475#103—1462no—
476#103C4×D7314yescomplemented
477#95—21no—
478#95—21no—
479#95—21no—
480#95—1461no—
481#95—1461no—
482#95—1461no—
483#95—1461no—
484#95—1461no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488#95—1461no—
489C24—731no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—2922no—
496C2×Q8—2922no—
497C2×Q8—2924no—
498C2×Q8—2924no—
499C2×Q8—732no—
500C2×Q8—1464no—
501C2×Q8—1468no—
502C2×Q8—1468no—
503C2×Q8—1461no—
504C2×Q8—1461no—
505C2×Q8—1461no—
506C2×Q8—1461no—
507C2×Q8—1461no—
508C2×Q8C2×C4×D7312yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—2922no—
514C22×C4—2922no—
515C22×C4—2922no—
516C22×C4—2922no—
517C22×C4—2922no—
518C22×C4—2922no—
519C22×C4—2922no—
520C22×C4—2922no—
521C22×C4—2922no—
522C22×C4—731no—
523C22×C4—732no—
524C22×C4—732no—
525C22×C4—732no—
526C22×C4—732no—
527C22×C4—732no—
528C22×C4—732no—
529C22×C4—731no—
530C22×C4—734no—
531C22×C4—731no—
532C22×C4—1462no—
533C22×C4—1464no—
534C22×C4—1464no—
535C22×C4—1462no—
536C22×C4—1462no—
537C22×C4—1464no—
538C22×C4—1462no—
539C22×C4—1462no—
540C22×C4—1461no—
541C22×C4—1461no—
542C22×C4—1461no—
543C22×C4—1461no—
544C22×C4D4×D7311yescharacteristic
545C22×C4D4×D7311yescharacteristic
546C22×C4C23×D7311yescharacteristic
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—2924no—
553C2×C8—732no—
554C2×C8—1468no—
555C2×C8—1461no—
556C2×C8—1461no—
557C2×C8—1461no—
558C2×C8—1461no—
559C2×C8—1461no—
560C2×C8C2×C4×D7312yes—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—2922no—
566C4⋊C4—732no—
567C4⋊C4—732no—
568C4⋊C4—1464no—
569C4⋊C4—1464no—
570C4⋊C4—1461no—
571C4⋊C4—1461no—
572C4⋊C4—1461no—
573C4⋊C4—1461no—
574C4⋊C4C2×C4×D7312yes—
575C4⋊C4D4×D7312yes—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—2922no—
580C42—2922no—
581C42—2922no—
582C42—1462no—
583C42—1462no—
584C42—1461no—
585C42—1461no—
586C23—732no—
587C23—732no—
588C23—732no—
589C23—732no—
590C23—732no—
591C23—732no—
592C23—732no—
593C23C2×D4×D7311yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—2928no—
599Q8—2921no—
600Q8—2921no—
601Q8—1462no—
602Q8—1462no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—2928no—
621C2×C4—2928no—
622C2×C4—2928no—
623C2×C4—2924no—
624C2×C4—2921no—
625C2×C4—2921no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—5844no—
634C2×C4—732no—
635C2×C4—732no—
636C2×C4—732no—
637C2×C4—734no—
638C2×C4—734no—
639C2×C4—734no—
640C2×C4—734no—
641C2×C4—732no—
642C2×C4—1468no—
643C2×C4—1461no—
644C2×C4—1462no—
645C2×C4—1462no—
646C2×C4—1462no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1461no—
650C2×C4—1461no—
651C2×C4Q16×D7312yes—
652C2×C4C22×C4×D7311yescharacteristic
653C2×C4C2×D4×D7311yescharacteristic
654C2×C4#41×D7311yescharacteristic
655C2×C4#41×D7311yescharacteristic
656C2×C4#41×D7311yescharacteristic
657C2×C4#41×D7311yescharacteristic
658C8—22no—
659C8—41no—
660C8—2921no—
661C8—1462no—
662C22—734no—
663C22—734no—
664C22—734no—
665C22—734no—
666C22—734no—
667C22—734no—
668C22—734no—
669C22C4×D4×D7311yescharacteristic
670C22#121×D7311yescharacteristic
671C22#123×D7311yescharacteristic
672C22C2×Q16×D7311yescharacteristic
673C22#135×D7311yescharacteristic
674C22AGL(1,ℤ/8)×D7311yescharacteristic
675C22#137×D7311yescharacteristic
676C4—22no—
677C4—42no—
678C4—42no—
679C4—41no—
680C4—42no—
681C4—81no—
682C4—2922no—
683C4—2922no—
684C4—2921no—
685C4—2922no—
686C4—5841no—
687C4—734no—
688C4—1462no—
689C4#117×D7311yescharacteristic
690C4C4×D4×D7311yescharacteristic
691C4#124×D7311yescharacteristic
692C4#126×D7311yescharacteristic
693C2—738no—
694C2#388×D7311yescharacteristic
695C2C4×Q16×D7311yescharacteristic
696C2#440×D7311yescharacteristic
697C2#463×D7311yescharacteristic
698C2#462×D7311yescharacteristic
699C2#485×D7311yescharacteristic
700C2#484×D7311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1928C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
cosocleC22×C4×C73C24
hypercenter#1928D73
hypocenterC73C2×#1928
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1928

Complements

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

NH ≅ G/Ntype
6. #22610575C2semidirect
7. #22610574C2semidirect
8. #22610573C2semidirect
9. #22610572C2semidirect
10. #22610571C2semidirect
11. #22610570C2semidirect
12. #22610569C2semidirect
15. C73×#1928C2semidirect
35. #103×D73C4semidirect
110. #14556516C2×C4semidirect
112. #14556515C2×C4semidirect
114. #14556514C2×C4semidirect
134. #103×C73C2×C4semidirect
350. D73#1928direct (N × H)
363. #1928D73direct (N × H)
366. C73C2×#1928semidirect
476. #103C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#107×D732
C2×#103×D732
#391×D732
C4×C4⋊C4×D732
#226105752
#226105742
#226105732
#226105722
#226105712
#226105702
#226105692
#340×D732
#336×D732
C73×#19282
C2×#192873