Finite Group Databasebeta

← #2068×D73 #33114586

Subgroups — #2068×D73 #33114586

Order 18688.

1206 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#107×D73C211yesmaximal, characteristic
2C2×C4⋊C8×D73C211yesmaximal, characteristic
3C2×#103×D73C211yesmaximal, characteristic
4C2×#103×D73C211yesmaximal, characteristic
5#391×D73C211yesmaximal, characteristic
6#389×D73C211yesmaximal, characteristic
7#22611327C211yesmaximal, characteristic, complemented
8#22611326C211yesmaximal, characteristic, complemented
9#22611325C211yesmaximal, characteristic, complemented
10#22611324C211yesmaximal, characteristic, complemented
11#22611323C211yesmaximal, characteristic, complemented
12#22611322C211yesmaximal, characteristic, complemented
13#22611321C211yesmaximal, characteristic, complemented
14#340×D73C211yesmaximal, characteristic
15C73×#2068C211yesmaximal, characteristic, complemented
16C22×Q8×D73C2211yescharacteristic
17C22×C8×D73C2211yescharacteristic
18C22×C8×D73C2211yescharacteristic
19C2×C4⋊C4×D73—21no—
20C2×C4⋊C4×D73C2211yescharacteristic
21C2×C4⋊C4×D73C2211yescharacteristic
22C2×C4⋊C4×D73C2211yescharacteristic
23C2×C42×D73C2211yescharacteristic
24C2×#14556525C2211yescharacteristic
25C2×#14556524C2211yescharacteristic
26C2×#14556524C2211yescharacteristic
27#107×D73—24no—
28C2×C4⋊#10596831C2211yescharacteristic
29C2×#14556520C2211yescharacteristic
30C2×#14556520C2211yescharacteristic
31C4⋊C8×D73—24no—
32C2×#14556516C2211yescharacteristic
33C2×#14556516C2211yescharacteristic
34C2×#14556515C2211yescharacteristic
35C2×#14556515C2211yescharacteristic
36C2×#14556514C2211yescharacteristic
37C2×#14556514C2211yescharacteristic
38#103×D73—24no—
39#103×D73—24no—
40#17988494C2211yescharacteristic
41#17988493C2211yescharacteristic
42#17988492C2211yescharacteristic
43#17988491—21no—
44#17988491—21no—
45#17988486C2211yescharacteristic
46#17988485C2211yescharacteristic
47#17988484—21no—
48#17988483C2211yescharacteristic
49#17988482—21no—
50#95×D73—21no—
51#95×D73—21no—
52#95×D73—21no—
53#17988350C2211yescharacteristic
54#17988349C2211yescharacteristic
55#17988349C2211yescharacteristic
56C2×#107×C73C2211yescharacteristic
57C2×C4⋊C8×C73C2211yescharacteristic
58C2×#103×C73C2211yescharacteristic
59C2×#103×C73C2211yescharacteristic
60#391×C73C2211yescharacteristic
61#389×C73C2211yescharacteristic
62#340×C73C2211yescharacteristic
63C22×Dic146—21no—
64C22×Dic146C2311yescharacteristic
65C2×Q8×D73—22no—
66C2×Q8×D73—22no—
67C2×Q8×D73—22no—
68C2×Q8×D73—22no—
69C2×Q8×D73—22no—
70C2×Q8×D73Q814yes—
71C22×C4×D73—21no—
72C22×C4×D73—21no—
73C22×C4×D73—21no—
74C22×C4×D73—21no—
75C22×C4×D73D411yescharacteristic
76C22×C4×D73D411yescharacteristic
77C22×C4×D73C2311yescharacteristic
78C22×#10596831C2311yescharacteristic
79C22×#10596831C2311yescharacteristic
80C2×C8×D73—22no—
81C2×C8×D73—22no—
82C2×C8×D73—22no—
83C2×C8×D73—22no—
84C2×C8×D73—22no—
85C2×C8×D73D414yes—
86C2×C4⋊Dic73—21no—
87C2×C4⋊Dic73C2311yescharacteristic
88C2×C4⋊Dic73C2311yescharacteristic
89C2×C4⋊Dic73C2311yescharacteristic
90C2×#11924007—21no—
91C2×#11924007—21no—
92C2×#11924007—21no—
93C2×#11924007—21no—
94C2×#11924007—21no—
95C4⋊C4×D73—22no—
96C4⋊C4×D73—22no—
97C4⋊C4×D73—22no—
98C4⋊C4×D73—22no—
99C4⋊C4×D73—22no—
100C4⋊C4×D73—44no—
101C4⋊C4×D73D414yes—
102C2×C4×Dic73D411yescharacteristic
103C2×C4×Dic73D411yescharacteristic
104C2×C4×Dic73C2311yescharacteristic
105C42×D73—22no—
106C42×D73—22no—
107#14556525—22no—
108#14556524—22no—
109#14556524—22no—
110C4⋊#10596831—22no—
111#14556520—22no—
112#14556520—22no—
113#14556516—22no—
114#14556516—22no—
115#14556515—22no—
116#14556515—22no—
117#14556514—22no—
118#14556514—22no—
119#14556498—21no—
120#14556498—21no—
121#14556498—21no—
122#14556498—21no—
123#14556498—21no—
124#14556498—21no—
125#14556498—21no—
126#14556498—21no—
127#14556498—21no—
128C22×Q8×C73C2311yescharacteristic
129C22×C8×C73C2311yescharacteristic
130C22×C8×C73C2311yescharacteristic
131C2×C4⋊C4×C73—21no—
132C2×C4⋊C4×C73C2311yescharacteristic
133C2×C4⋊C4×C73C2311yescharacteristic
134C2×C4⋊C4×C73C2311yescharacteristic
135C2×C42×C73C2311yescharacteristic
136#107×C73—22no—
137C4⋊C8×C73—22no—
138#103×C73—22no—
139#103×C73—22no—
140#95×C73—21no—
141#95×C73—21no—
142#95×C73—21no—
143C23×D73C2×D411yescharacteristic
144C2×Dic146—21no—
145C2×Dic146—21no—
146C2×Dic146—21no—
147C2×Dic146—21no—
148C2×Dic146—21no—
149C2×Dic146—24no—
150C2×Dic146—42no—
151C2×Dic146—42no—
152C2×Dic146C2×Q812yes—
153Q8×D73—28no—
154Q8×D73—28no—
155Q8×D73—44no—
156Q8×D73—44no—
157C22×Dic73—21no—
158C22×Dic73—21no—
159C22×Dic73—21no—
160C22×Dic73—21no—
161C22×Dic73C2×D411yescharacteristic
162C22×Dic73C2×D411yescharacteristic
163C22×Dic73C2×D411yescharacteristic
164C2×C4×D73—22no—
165C2×C4×D73—22no—
166C2×C4×D73—22no—
167C2×C4×D73—24no—
168C2×C4×D73—24no—
169C2×C4×D73—22no—
170C2×C4×D73—22no—
171C2×C4×D73—42no—
172C2×C4×D73—42no—
173C2×C4×D73—42no—
174C2×C4×D73—42no—
175C2×C4×D73—42no—
176C2×C4×D73—42no—
177C2×C4×D73—42no—
178C2×C4×D73—42no—
179C2×C4×D73—42no—
180C2×C4×D73—42no—
181C2×C4×D73Q1614yes—
182C2×C4×D73C2×D412yes—
183C2×C4×D73C2×D412yes—
184C2×C4×D73C2×Q812yes—
185C2×C4×D73#4112yes—
186C2×C4×D73#4112yes—
187C2×C4×D73#4112yes—
188C2×#10596831—21no—
189C2×#10596831—21no—
190C2×#10596831—21no—
191C2×#10596831—21no—
192C2×#10596831—21no—
193C2×#10596831C2×D412yes—
194C8×D73—28no—
195C8×D73—44no—
196C4⋊Dic73—21no—
197C4⋊Dic73—21no—
198C4⋊Dic73—21no—
199C4⋊Dic73—21no—
200C4⋊Dic73—21no—
201C4⋊Dic73—42no—
202C4⋊Dic73C2×D412yes—
203#11924007—24no—
204#11924007—42no—
205#11924007—42no—
206#11924007—42no—
207#11924007—42no—
208C4×Dic73—21no—
209C4×Dic73—21no—
210C4×Dic73—22no—
211C4×Dic73—22no—
212C2×Q8×C73—21no—
213C2×Q8×C73—21no—
214C2×Q8×C73—21no—
215C2×Q8×C73—21no—
216C2×Q8×C73—21no—
217C2×Q8×C73C2×Q812yes—
218C22×C4×C73—21no—
219C22×C4×C73—21no—
220C22×C4×C73—21no—
221C22×C4×C73—21no—
222C22×C4×C73C2×D411yescharacteristic
223C22×C4×C73C2×D411yescharacteristic
224C22×C4×C73C2411yescharacteristic
225C2×C8×C73—21no—
226C2×C8×C73—21no—
227C2×C8×C73—21no—
228C2×C8×C73—21no—
229C2×C8×C73—21no—
230C2×C8×C73C2×D412yes—
231C4⋊C4×C73—21no—
232C4⋊C4×C73—21no—
233C4⋊C4×C73—21no—
234C4⋊C4×C73—21no—
235C4⋊C4×C73—21no—
236C4⋊C4×C73—42no—
237C4⋊C4×C73C2×D412yes—
238C42×C73—21no—
239C42×C73—21no—
240C23×C73C22×D411yescharacteristic
241C22×D73#12112yes—
242C22×D73#12112yes—
243C22×D73C22⋊Q812yes—
244C22×D73C2×Q1612yes—
245C22×D73#13512yes—
246C22×D73AGL(1,ℤ/8)12yes—
247C22×D73#13712yes—
248Q8×C73—22no—
249Q8×C73—22no—
250Q8×C73—41no—
251Q8×C73—41no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73C2×Q1612yes—
270C2×C4×C73C22×D411yescharacteristic
271C2×C4×C73C22×D411yescharacteristic
272C2×C4×C73C22×Q811yescharacteristic
273C2×C4×C73C2×#4111yescharacteristic
274C2×C4×C73C2×#4111yescharacteristic
275C2×C4×C73C2×#4111yescharacteristic
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—22no—
280C2×Dic73—22no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—41no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73#12112yes—
294C2×Dic73#12112yes—
295C2×Dic73C22⋊Q812yes—
296C2×Dic73C2×Q1612yes—
297C4×D73—28no—
298C4×D73—48no—
299C4×D73—48no—
300C4×D73—44no—
301C4×D73—84no—
302C4×D73—84no—
303C4×D73#12114yes—
304C4×D73C22⋊Q814yes—
305C4×D73C22⋊Q814yes—
306C4×D73#12614yes—
307Dic146—22no—
308Dic146—22no—
309Dic146—41no—
310Dic146—41no—
311Dic146—48no—
312C8×C73—22no—
313C8×C73—41no—
314#10596831—22no—
315#10596831—41no—
316C22×C73C2×#12111yescharacteristic
317C22×C73C2×#12111yescharacteristic
318C22×C73C2×C22⋊Q811yescharacteristic
319C22×C73C22×Q1611yescharacteristic
320C22×C73C2×#13511yescharacteristic
321C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C73C2×#13711yescharacteristic
323C2×D73#39614yes—
324C2×D73#46214yes—
325C2×D73#46314yes—
326C2×D73#46714yes—
327C2×D73#46814yes—
328C2×D73#47714yes—
329C2×D73#47914yes—
330C4×C73—22no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73—41no—
334C4×C73—81no—
335C4×C73—81no—
336C4×C73C2×#12111yescharacteristic
337C4×C73C2×C22⋊Q811yescharacteristic
338C4×C73C2×C22⋊Q811yescharacteristic
339C4×C73C2×#12611yescharacteristic
340Dic73—22no—
341Dic73—42no—
342Dic73—42no—
343Dic73—41no—
344Dic73—81no—
345Dic73—81no—
346Dic73#39614yes—
347C2×#2068—731nomaximal, Sylow
348C2×C73C2×#39611yescharacteristic
349C2×C73C2×#46311yescharacteristic
350C2×C73C2×#46211yescharacteristic
351C2×C73C2×#46711yescharacteristic
352C2×C73C2×#46811yescharacteristic
353C2×C73C2×#47711yescharacteristic
354C2×C73C2×#47911yescharacteristic
355D73#206818yesdirect product factor
356C22×#107—731no—
357C22×C4⋊C8—731no—
358C22×#103—731no—
359C22×#103—731no—
360C2×#391—731no—
361C2×#389—731no—
362#2068—731no—
363#2068—731no—
364#2068—731no—
365#2068—731no—
366#2068—731no—
367#2068—731no—
368#2068—731no—
369#2068D7311yescharacteristic, direct product factor
370C2×#340—731no—
371C73C2×#206811yescharacteristic, complemented, Sylow
372C23×Q8—731no—
373C23×C8—731no—
374C23×C8—731no—
375C22×C4⋊C4—731no—
376C22×C4⋊C4—731no—
377C22×C4⋊C4—731no—
378C22×C4⋊C4—1461no—
379C22×C42—731no—
380C2×#107—731no—
381C2×#107—731no—
382C2×#107—731no—
383C2×#107—1464no—
384C2×#107C2×D7311yescharacteristic
385C2×C4⋊C8—731no—
386C2×C4⋊C8—731no—
387C2×C4⋊C8—731no—
388C2×C4⋊C8—1464no—
389C2×C4⋊C8C2×D7311yescharacteristic
390C2×#103—731no—
391C2×#103—731no—
392C2×#103—731no—
393C2×#103—731no—
394C2×#103—731no—
395C2×#103—731no—
396C2×#103—1464no—
397C2×#103—1464no—
398C2×#103C2×D7311yescharacteristic
399C2×#103C2×D7311yescharacteristic
400#391—731no—
401#391—731no—
402#391—731no—
403#391—1461no—
404#391—1461no—
405#391C2×D7311yescharacteristic
406#389—731no—
407#389—731no—
408#389—731no—
409#389—1461no—
410#389—1461no—
411#389C2×D7311yescharacteristic
412C2×#95—1461no—
413C2×#95—1461no—
414C2×#95—1461no—
415#340—731no—
416#340—731no—
417#340—731no—
418#340C2×D7311yescharacteristic
419C22×Q8—734no—
420C22×Q8—731no—
421C22×Q8—1461no—
422C22×Q8—1462no—
423C22×Q8—1462no—
424C22×Q8—1462no—
425C22×Q8—1462no—
426C22×Q8—1462no—
427C22×Q8C22×D7311yescharacteristic
428C23×C4—731no—
429C23×C4—731no—
430C23×C4—731no—
431C23×C4—1461no—
432C23×C4—1461no—
433C23×C4—1461no—
434C23×C4—1461no—
435C22×C8—731no—
436C22×C8—734no—
437C22×C8—731no—
438C22×C8—1462no—
439C22×C8—1462no—
440C22×C8—1462no—
441C22×C8—1462no—
442C22×C8—1462no—
443C22×C8C22×D7311yescharacteristic
444C22×C8C22×D7311yescharacteristic
445C2×C4⋊C4—21no—
446C2×C4⋊C4—2924no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—734no—
449C2×C4⋊C4—731no—
450C2×C4⋊C4—731no—
451C2×C4⋊C4—1462no—
452C2×C4⋊C4—1462no—
453C2×C4⋊C4—1462no—
454C2×C4⋊C4—1462no—
455C2×C4⋊C4—1462no—
456C2×C4⋊C4—1461no—
457C2×C4⋊C4—1461no—
458C2×C4⋊C4—1461no—
459C2×C4⋊C4—1461no—
460C2×C4⋊C4—1461no—
461C2×C4⋊C4—1461no—
462C2×C4⋊C4C22×D7311yescharacteristic
463C2×C4⋊C4C22×D7311yescharacteristic
464C2×C4⋊C4C22×D7311yescharacteristic
465C2×C42—731no—
466C2×C42—731no—
467C2×C42—731no—
468C2×C42—1462no—
469C2×C42—1462no—
470C2×C42C22×D7311yescharacteristic
471#107—22no—
472#107—1462no—
473#107—1462no—
474#107—1462no—
475C4⋊C8—22no—
476C4⋊C8—1462no—
477C4⋊C8—1462no—
478C4⋊C8—1462no—
479#103—22no—
480#103—22no—
481#103—1462no—
482#103—1462no—
483#103—1462no—
484#103—1462no—
485#103—1462no—
486#103—1462no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—1461no—
491#95—1461no—
492#95—1461no—
493#95—1461no—
494#95—1461no—
495#95—1461no—
496#95—1461no—
497#95—1461no—
498#95—1461no—
499C24—731no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—2922no—
506C2×Q8—2922no—
507C2×Q8—2924no—
508C2×Q8—2924no—
509C2×Q8—732no—
510C2×Q8—1464no—
511C2×Q8—1468no—
512C2×Q8—1468no—
513C2×Q8—1461no—
514C2×Q8—1461no—
515C2×Q8—1461no—
516C2×Q8—1461no—
517C2×Q8—1461no—
518C2×Q8Q8×D7312yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—2922no—
524C22×C4—2922no—
525C22×C4—2922no—
526C22×C4—2922no—
527C22×C4—2922no—
528C22×C4—2922no—
529C22×C4—2922no—
530C22×C4—2922no—
531C22×C4—2922no—
532C22×C4—2922no—
533C22×C4—731no—
534C22×C4—732no—
535C22×C4—732no—
536C22×C4—732no—
537C22×C4—732no—
538C22×C4—732no—
539C22×C4—732no—
540C22×C4—731no—
541C22×C4—734no—
542C22×C4—731no—
543C22×C4—1462no—
544C22×C4—1462no—
545C22×C4—1464no—
546C22×C4—1462no—
547C22×C4—1464no—
548C22×C4—1462no—
549C22×C4—1462no—
550C22×C4—1461no—
551C22×C4—1461no—
552C22×C4—1461no—
553C22×C4—1461no—
554C22×C4D4×D7311yescharacteristic
555C22×C4D4×D7311yescharacteristic
556C22×C4C23×D7311yescharacteristic
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—2924no—
563C2×C8—732no—
564C2×C8—1468no—
565C2×C8—1461no—
566C2×C8—1461no—
567C2×C8—1461no—
568C2×C8—1461no—
569C2×C8—1461no—
570C2×C8D4×D7312yes—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—2922no—
578C4⋊C4—2922no—
579C4⋊C4—2922no—
580C4⋊C4—2922no—
581C4⋊C4—2922no—
582C4⋊C4—732no—
583C4⋊C4—1464no—
584C4⋊C4—1461no—
585C4⋊C4—1461no—
586C4⋊C4—1461no—
587C4⋊C4—1461no—
588C4⋊C4—1461no—
589C4⋊C4D4×D7312yes—
590C42—21no—
591C42—21no—
592C42—1462no—
593C42—1462no—
594C42—1461no—
595C42—1461no—
596C23—732no—
597C23—732no—
598C23—732no—
599C23—732no—
600C23—732no—
601C23—732no—
602C23—732no—
603C23C2×D4×D7311yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—2928no—
609Q8—2921no—
610Q8—2921no—
611Q8—1462no—
612Q8—1462no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—2928no—
631C2×C4—2928no—
632C2×C4—2924no—
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—2921no—
642C2×C4—2921no—
643C2×C4—5844no—
644C2×C4—5844no—
645C2×C4—732no—
646C2×C4—732no—
647C2×C4—732no—
648C2×C4—734no—
649C2×C4—734no—
650C2×C4—734no—
651C2×C4—734no—
652C2×C4—732no—
653C2×C4—1468no—
654C2×C4—1461no—
655C2×C4—1461no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4—1461no—
659C2×C4—1461no—
660C2×C4—1461no—
661C2×C4Q16×D7312yes—
662C2×C4C2×D4×D7311yescharacteristic
663C2×C4C2×D4×D7311yescharacteristic
664C2×C4C2×Q8×D7311yescharacteristic
665C2×C4#41×D7311yescharacteristic
666C2×C4#41×D7311yescharacteristic
667C2×C4#41×D7311yescharacteristic
668C8—22no—
669C8—41no—
670C8—2921no—
671C8—1462no—
672C22—734no—
673C22—734no—
674C22—734no—
675C22—734no—
676C22—734no—
677C22—734no—
678C22—734no—
679C22#121×D7311yescharacteristic
680C22#121×D7311yescharacteristic
681C22C22⋊Q8×D7311yescharacteristic
682C22C2×Q16×D7311yescharacteristic
683C22#135×D7311yescharacteristic
684C22AGL(1,ℤ/8)×D7311yescharacteristic
685C22#137×D7311yescharacteristic
686C4—22no—
687C4—41no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—81no—
692C4—2921no—
693C4—2922no—
694C4—2922no—
695C4—5841no—
696C4—5841no—
697C4—734no—
698C4—1462no—
699C4#121×D7311yescharacteristic
700C4C22⋊Q8×D7311yescharacteristic
701C4C22⋊Q8×D7311yescharacteristic
702C4#126×D7311yescharacteristic
703C2—738no—
704C2#396×D7311yescharacteristic
705C2#463×D7311yescharacteristic
706C2#462×D7311yescharacteristic
707C2#467×D7311yescharacteristic
708C2#468×D7311yescharacteristic
709C2#477×D7311yescharacteristic
710C2#479×D7311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC22×C4×C73C24
FrattiniC22×C4C23×D73
FittingC73×#2068C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
hypercenter#2068D73
hypocenterC73C2×#2068
LCSG ▷ C22×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2068

Complements

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

NH ≅ G/Ntype
7. #22611327C2semidirect
8. #22611326C2semidirect
9. #22611325C2semidirect
10. #22611324C2semidirect
11. #22611323C2semidirect
12. #22611322C2semidirect
13. #22611321C2semidirect
15. C73×#2068C2semidirect
355. D73#2068direct (N × H)
369. #2068D73direct (N × H)
371. C73C2×#2068semidirect

Maximal subgroups

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

subgroupindex
C2×#107×D732
C2×C4⋊C8×D732
C2×#103×D732
#391×D732
#389×D732
#226113272
#226113262
#226113252
#226113242
#226113232
#226113222
#226113212
#340×D732
C73×#20682
C2×#206873