Finite Group Databasebeta

← #33104191

Subgroups — #33104191

Order 18688.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988663C211yesmaximal, characteristic
2C2×#17988629C211yesmaximal, characteristic, complemented
3C2×#17988626C211yesmaximal, characteristic, complemented
4#22612875C211yesmaximal, characteristic
5#22612827C211yesmaximal, characteristic
6#22610693C211yesmaximal, characteristic, complemented
7#22610688C211yesmaximal, characteristic, complemented
8#22610133C211yesmaximal, characteristic, complemented
9#22610128C211yesmaximal, characteristic, complemented
10#22610125C211yesmaximal, characteristic, complemented
11#22610123C211yesmaximal, characteristic, complemented
12#22610086C211yesmaximal, characteristic, complemented
13#22609965C211yesmaximal, characteristic, complemented
14#107×Dic73C211yesmaximal, characteristic, complemented
15C73×#1809C211yesmaximal, characteristic, complemented
16C22×#11924011C2211yescharacteristic
17C2×C4×C22⋊D73C2211yescharacteristic
18C2×#14556551—21no—
19C2×#14556550C2211yescharacteristic
20C2×#14556549C2211yescharacteristic
21C22×C4⋊Dic73C2211yescharacteristic
22C2×C4⋊C4×D73C2211yescharacteristic
23#17988663C418yescomplemented
24#17988629—24no—
25#17988626—24no—
26C2×#14556525C2211yescharacteristic
27C2×#14556525C2211yescharacteristic
28C2×#14556524C2211yescharacteristic
29C2×#14556523C2211yescharacteristic
30C2×#14556523C2211yescharacteristic
31C2×#14556522C2211yescharacteristic
32C2×#14556522C2211yescharacteristic
33C2×#14556522C2211yescharacteristic
34C2×#14556520C2211yescharacteristic
35C2×C22⋊#10596831C2211yescharacteristic
36C2×#14556503C2211yescharacteristic
37C2×C8×Dic73C2211yescharacteristic
38#17988487—21no—
39#17988484—21no—
40#17988481—21no—
41#17988476—21no—
42#17988461—21no—
43#17988459—21no—
44#17988456C2211yescharacteristic
45#17988456C2211yescharacteristic
46#17988444C2211yescharacteristic
47#17988444C2211yescharacteristic
48C4⋊C4×Dic73C2211yescharacteristic
49C4⋊C4×Dic73C2211yescharacteristic
50#17988438—21no—
51#17988349C2211yescharacteristic
52#17988349C2211yescharacteristic
53#17988349C2211yescharacteristic
54#17988349C2211yescharacteristic
55C22×M16×C73C2211yescharacteristic
56C2×#107×C73C2211yescharacteristic
57C2×#106×C73C2211yescharacteristic
58#380×C73C2211yescharacteristic
59#380×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×C22⋊D73D411yescharacteristic
63C23×Dic73—21no—
64C22×C4×D73—21no—
65C22×C4×D73C2311yescharacteristic
66C2×#11924011—22no—
67C2×#11924011—22no—
68C2×#11924011C2×C414yescomplemented
69C22×#10596831C2311yescharacteristic
70C22×#10596831C2311yescharacteristic
71C4×C22⋊D73C2×C414yes—
72C4×C22⋊D73Q814yes—
73#14556551—44no—
74#14556550—22no—
75#14556550—41no—
76#14556549—22no—
77#14556549—41no—
78C2×C4⋊Dic73—22no—
79C2×C4⋊Dic73—21no—
80C2×C4⋊Dic73—41no—
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×C4⋊Dic73C2311yescharacteristic
84C2×C4⋊Dic73C2311yescharacteristic
85C2×#11924007—21no—
86C2×#11924007—21no—
87C2×#11924007—21no—
88C2×#11924007—21no—
89C2×#11924007—21no—
90C2×#11924007D411yescharacteristic
91C4⋊C4×D73—22no—
92C4⋊C4×D73—41no—
93C2×C22⋊Dic73—21no—
94C2×C22⋊Dic73D411yescharacteristic
95C2×#11924005—21no—
96C2×#11924005—21no—
97C2×#11924005—21no—
98C2×#11924005D411yescharacteristic
99C2×C4×Dic73—21no—
100C2×C4×Dic73—21no—
101C2×C4×Dic73—21no—
102C2×C4×Dic73—21no—
103C2×C4×Dic73C2311yescharacteristic
104#14556525—22no—
105#14556525D414yescomplemented
106#14556524—22no—
107#14556523—22no—
108#14556523—22no—
109#14556522—22no—
110#14556522—41no—
111#14556522—41no—
112#14556520C2×C414yescomplemented
113C22⋊#10596831C2×C414yescomplemented
114#14556503C2×C414yescomplemented
115C8×Dic73C2×C414yescomplemented
116#14556498—21no—
117#14556498—21no—
118#14556498—21no—
119#14556498—21no—
120C23×C4×C73C2311yescharacteristic
121C2×M16×C73—22no—
122C2×M16×C73—22no—
123C2×M16×C73C2×C414yescomplemented
124C22×C8×C73C2311yescharacteristic
125C22×C8×C73C2311yescharacteristic
126C2×C4⋊C4×C73C2311yescharacteristic
127C2×C4⋊C4×C73C2311yescharacteristic
128C2×C4⋊C4×C73C2311yescharacteristic
129C2×C4⋊C4×C73C2311yescharacteristic
130C2×C22⋊C4×C73—21no—
131C2×C22⋊C4×C73—21no—
132#107×C73—22no—
133#106×C73—22no—
134#95×C73—21no—
135#95×C73—21no—
136C23×D73C2×D411yescharacteristic
137C2×C22⋊D73—22no—
138C2×C22⋊D73—22no—
139C2×C22⋊D73C4⋊C414yes—
140C22×Dic73—21no—
141C22×Dic73—21no—
142C22×Dic73—21no—
143C22×Dic73—21no—
144C22×Dic73—42no—
145C22×Dic73—42no—
146C22×Dic73—81no—
147C22×Dic73C2×D411yescharacteristic
148C22×Dic73C2×D411yescharacteristic
149C22×Dic73C2×D411yescharacteristic
150C2×C4×D73—21no—
151C2×C4×D73—21no—
152C2×C4×D73—21no—
153C2×C4×D73—21no—
154C2×C4×D73—42no—
155C2×C4×D73—42no—
156C2×C4×D73—81no—
157C2×C4×D73C22×C412yes—
158C2×C4×D73C2×Q812yes—
159#11924011—28no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831C22×C412yes—
165C2×#10596831C22×C412yes—
166C4⋊Dic73—21no—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—42no—
173C4⋊Dic73C2×D412yes—
174C4⋊Dic73C2×D412yes—
175#11924007—42no—
176#11924007—42no—
177#11924007—42no—
178#11924007—81no—
179#11924007—81no—
180#11924007C4⋊C414yes—
181C22⋊Dic73—42no—
182C22⋊Dic73C4⋊C414yes—
183#11924005—42no—
184#11924005—42no—
185#11924005—81no—
186#11924005C4⋊C414yes—
187C4×Dic73—42no—
188C4×Dic73—42no—
189C4×Dic73—42no—
190C4×Dic73—42no—
191C4×Dic73C22×C412yes—
192C4×Dic73C2×Q812yes—
193C24×C73C2×D411yescharacteristic
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—21no—
201C22×C4×C73—21no—
202C22×C4×C73C22×C412yes—
203C22×C4×C73C2×D411yescharacteristic
204C22×C4×C73C2×Q812yes—
205C22×C4×C73C2411yescharacteristic
206M16×C73—28no—
207C2×C8×C73—21no—
208C2×C8×C73—21no—
209C2×C8×C73C22×C412yes—
210C2×C8×C73C22×C412yes—
211C2×C8×C73C2×D412yes—
212C2×C8×C73#4112yes—
213C4⋊C4×C73—21no—
214C4⋊C4×C73—21no—
215C4⋊C4×C73—21no—
216C4⋊C4×C73—21no—
217C4⋊C4×C73—21no—
218C4⋊C4×C73—21no—
219C4⋊C4×C73—21no—
220C4⋊C4×C73—21no—
221C22⋊C4×C73—42no—
222C22⋊C4×C73—81no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73C2×C4⋊C412yes—
230C23×C73C22×D411yescharacteristic
231C22×D73—21no—
232C22×D73—21no—
233C22×D73—21no—
234C22×D73—21no—
235C22×D73—21no—
236C22×D73—21no—
237C22×D73C2×C4⋊C412yes—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—22no—
241C2×C4×C73—22no—
242C2×C4×C73—22no—
243C2×C4×C73—22no—
244C2×C4×C73—41no—
245C2×C4×C73—41no—
246C2×C4×C73—41no—
247C2×C4×C73—41no—
248C2×C4×C73—41no—
249C2×C4×C73—41no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
252C2×C4×C73—41no—
253C2×C4×C73—41no—
254C2×C4×C73—41no—
255C2×C4×C73—41no—
256C2×C4×C73C2×C4⋊C412yes—
257C2×C4×C73C23×C411yescharacteristic
258C2×C4×C73C22×D411yescharacteristic
259C2×C4×C73C22×Q811yescharacteristic
260C2×C4×C73C2×#4111yescharacteristic
261C2×C4×C73H(5,𝔽2)11yescharacteristic
262C2×C4×C732−1+411yescharacteristic
263C22⋊D73—28no—
264C2×Dic73—21no—
265C2×Dic73—21no—
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—22no—
269C2×Dic73—22no—
270C2×Dic73—41no—
271C2×Dic73—41no—
272C2×Dic73—41no—
273C2×Dic73—41no—
274C2×Dic73—41no—
275C2×Dic73—41no—
276C2×Dic73—41no—
277C2×Dic73—41no—
278C2×Dic73—41no—
279C2×Dic73—41no—
280C2×Dic73—84no—
281C2×Dic73C2×C4⋊C412yes—
282C2×Dic73C2×C4⋊C412yes—
283C2×Dic73C2×C4⋊C412yes—
284C2×Dic73AGL(1,ℤ/8)12yes—
285C2×Dic73#13712yes—
286C4×D73—22no—
287C4×D73—22no—
288C4×D73—22no—
289C4×D73—22no—
290C4×D73—84no—
291C8×C73—22no—
292C8×C73C4×D414yescomplemented
293#10596831—22no—
294#10596831—22no—
295C22×C73—22no—
296C22×C73—22no—
297C22×C73—22no—
298C22×C73—41no—
299C22×C73—41no—
300C22×C73—41no—
301C22×C73—41no—
302C22×C73C22×C4⋊C411yescharacteristic
303C22×C73D4211yescharacteristic
304C22×C73#54711yescharacteristic
305C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
306C22×C73C2×#13711yescharacteristic
307C22×C73#57711yescharacteristic
308C22×C73#57711yescharacteristic
309C2×D73—22no—
310C2×D73—22no—
311C2×D73—22no—
312C2×D73—41no—
313C2×D73—41no—
314C2×D73—41no—
315C2×D73—41no—
316C4×C73—22no—
317C4×C73—81no—
318C4×C73—81no—
319C4×C73—81no—
320C4×C73—81no—
321C4×C73C2×C4×D411yescharacteristic
322C4×C73#52011yescharacteristic
323C4×C73D4×Q811yescharacteristic
324C4×C73#55411yescharacteristic
325Dic73—22no—
326Dic73—22no—
327Dic73—42no—
328Dic73—42no—
329Dic73—81no—
330Dic73—81no—
331Dic73#42814yescomplemented
332#22663—731nomaximal, Sylow
333C2×C73—42no—
334C2×C73D4×C4⋊C411yescharacteristic
335C2×C73C2×#42811yescharacteristic
336C2×C73#291211yescharacteristic
337C2×C73#327211yescharacteristic
338C2×C73#327811yescharacteristic
339C2×C73#335411yescharacteristic
340C2×C73#335611yescharacteristic
341D73—42no—
342C2×#436—731no—
343C2×#428—731no—
344C2×#428—731no—
345#2354—731no—
346D4×C4⋊C4—731no—
347#1948—731no—
348#1947—731no—
349#1854—731no—
350#1854—731no—
351#1853—731no—
352#1853—731no—
353#1844—731no—
354#1809—731no—
355#1809D7311yescharacteristic, complemented
356C4×#107—731no—
357C73#2266311yescharacteristic, complemented, Sylow
358C22×M16—731no—
359C22×M16C2×D7311yescharacteristic
360C2×C4×D4—731no—
361C2×C4×D4—1461no—
362C2×#117—731no—
363C2×#117—731no—
364C22×C4⋊C4—731no—
365C22×C4⋊C4—731no—
366#436—738no—
367#428—1464no—
368#428—1464no—
369C2×#107—731no—
370C2×#107—731no—
371C2×#107—731no—
372C2×#107C2×D7311yescharacteristic
373C2×#106—731no—
374C2×#106—731no—
375C2×#106—731no—
376C2×#106—731no—
377C2×#106—731no—
378C2×#106C2×D7311yescharacteristic
379C2×C4⋊C8—731no—
380C2×C22⋊C8—731no—
381C2×C22⋊C8—731no—
382C2×C4×C8—731no—
383#390—1461no—
384#389—1461no—
385#388—1461no—
386#388—1461no—
387#385—1461no—
388#385—1461no—
389#384—731no—
390#384—731no—
391#380—731no—
392#380—731no—
393#380C2×D7311yescharacteristic
394#380C2×D7311yescharacteristic
395C4×C4⋊C4—731no—
396C4×C4⋊C4—731no—
397C4×C4⋊C4—1461no—
398#340—731no—
399#340—731no—
400#340—731no—
401#340—731no—
402#340C2×D7311yescharacteristic
403#340C2×D7311yescharacteristic
404C22×D4—731no—
405C23×C4—731no—
406C23×C4—1461no—
407C23×C4—1461no—
408C23×C4C22×D7311yescharacteristic
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—734no—
412C2×M16—1462no—
413C2×M16—1462no—
414C2×M16C4×D7314yescomplemented
415C22×C8—731no—
416C22×C8—731no—
417C22×C8C22×D7311yescharacteristic
418C22×C8C22×D7311yescharacteristic
419C4×D4—2924no—
420C4×D4—734no—
421C4×D4—734no—
422#117—2921no—
423#117—2921no—
424#117—1462no—
425#117—1462no—
426C2×C4⋊C4—2921no—
427C2×C4⋊C4—2921no—
428C2×C4⋊C4—731no—
429C2×C4⋊C4—731no—
430C2×C4⋊C4—731no—
431C2×C4⋊C4—731no—
432C2×C4⋊C4—731no—
433C2×C4⋊C4—1462no—
434C2×C4⋊C4—1461no—
435C2×C4⋊C4—1461no—
436C2×C4⋊C4—1461no—
437C2×C4⋊C4—1461no—
438C2×C4⋊C4—1462no—
439C2×C4⋊C4—1461no—
440C2×C4⋊C4—1461no—
441C2×C4⋊C4C22×D7311yescharacteristic
442C2×C4⋊C4C22×D7311yescharacteristic
443C2×C4⋊C4C22×D7311yescharacteristic
444C2×C4⋊C4C22×D7311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—731no—
448C2×C22⋊C4—731no—
449C2×C22⋊C4—1461no—
450C2×C22⋊C4—1461no—
451C2×C22⋊C4—1461no—
452C2×C22⋊C4—1461no—
453C2×C42—731no—
454C2×C42—1461no—
455C2×C42—1461no—
456C2×C42—1461no—
457C2×C42—1461no—
458#107—22no—
459#107—734no—
460#107—1462no—
461#107—1462no—
462#106—22no—
463#106—2921no—
464#106—2921no—
465#106—1462no—
466#106—1462no—
467#106—1462no—
468C4⋊C8—734no—
469C22⋊C8—734no—
470C22⋊C8—734no—
471C4×C8—734no—
472#95—21no—
473#95—21no—
474#95—1461no—
475#95—1461no—
476#95—1461no—
477#95—1461no—
478C24—731no—
479C24D4×D7311yescharacteristic
480C2×D4—734no—
481C2×D4—1462no—
482C2×D4—1462no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—2922no—
492C22×C4—2922no—
493C22×C4—2922no—
494C22×C4—2922no—
495C22×C4—5841no—
496C22×C4—5841no—
497C22×C4—731no—
498C22×C4—731no—
499C22×C4—731no—
500C22×C4—732no—
501C22×C4—732no—
502C22×C4—1461no—
503C22×C4—1461no—
504C22×C4—1461no—
505C22×C4—1461no—
506C22×C4—1461no—
507C22×C4—1461no—
508C22×C4—1461no—
509C22×C4—1461no—
510C22×C4C2×C4×D7312yes—
511C22×C4D4×D7311yescharacteristic
512C22×C4Q8×D7312yes—
513C22×C4C23×D7311yescharacteristic
514M16—28no—
515M16—1468no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—732no—
519C2×C8—732no—
520C2×C8—1461no—
521C2×C8—1461no—
522C2×C8—1461no—
523C2×C8—1461no—
524C2×C8C2×C4×D7312yes—
525C2×C8C2×C4×D7312yes—
526C2×C8D4×D7312yes—
527C2×C8#1192402712yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—2922no—
537C4⋊C4—2922no—
538C4⋊C4—2922no—
539C4⋊C4—2922no—
540C4⋊C4—5841no—
541C4⋊C4—5841no—
542C4⋊C4—734no—
543C4⋊C4—732no—
544C4⋊C4—732no—
545C4⋊C4—1461no—
546C4⋊C4—1461no—
547C4⋊C4—1461no—
548C4⋊C4—1461no—
549C4⋊C4—1461no—
550C4⋊C4—1461no—
551C22⋊C4—42no—
552C22⋊C4—81no—
553C22⋊C4—2922no—
554C22⋊C4—2922no—
555C22⋊C4—2922no—
556C22⋊C4—5841no—
557C22⋊C4—734no—
558C22⋊C4—734no—
559C42—2922no—
560C42—2922no—
561C42—2922no—
562C42—2922no—
563C42—732no—
564C42—732no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—732no—
572C23—1461no—
573C23—1461no—
574C23—1461no—
575C23—1461no—
576C23—1461no—
577C23—1461no—
578C23C4⋊C4×D7312yes—
579C23C2×D4×D7311yescharacteristic
580D4—1468no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—2921no—
600C2×C4—2921no—
601C2×C4—2921no—
602C2×C4—2921no—
603C2×C4—2921no—
604C2×C4—2921no—
605C2×C4—2921no—
606C2×C4—2921no—
607C2×C4—2921no—
608C2×C4—2921no—
609C2×C4—5844no—
610C2×C4—5844no—
611C2×C4—732no—
612C2×C4—732no—
613C2×C4—732no—
614C2×C4—732no—
615C2×C4—732no—
616C2×C4—1462no—
617C2×C4—1462no—
618C2×C4—1461no—
619C2×C4—1461no—
620C2×C4—1461no—
621C2×C4—1461no—
622C2×C4—1462no—
623C2×C4—1462no—
624C2×C4—1462no—
625C2×C4—1462no—
626C2×C4C4⋊C4×D7312yes—
627C2×C4C22×C4×D7311yescharacteristic
628C2×C4C2×D4×D7311yescharacteristic
629C2×C4C2×Q8×D7311yescharacteristic
630C2×C4C2×#1192402711yescharacteristic
631C2×C4#1455663711yescharacteristic
632C2×C4#1455663811yescharacteristic
633C8—22no—
634C8—1462no—
635C8—1462no—
636C8#1455655114yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—2921no—
645C22—2921no—
646C22—2921no—
647C22—2921no—
648C22—1462no—
649C22—1462no—
650C22—1462no—
651C22C2×C4⋊C4×D7311yescharacteristic
652C22#1798922111yescharacteristic
653C22#1798923711yescharacteristic
654C22AGL(1,ℤ/8)×D7311yescharacteristic
655C22#137×D7311yescharacteristic
656C22#1798939611yescharacteristic
657C22#1798939711yescharacteristic
658C4—22no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—2922no—
664C4—2922no—
665C4—5841no—
666C4—5841no—
667C4—734no—
668C4—1462no—
669C4—1462no—
670C4C2×#1455655111yescharacteristic
671C4#1798906711yescharacteristic
672C4#1798925011yescharacteristic
673C4#1798929511yescharacteristic
674C2—42no—
675C2—2922no—
676C2#2261282711yescharacteristic
677C2#428×D7311yescharacteristic
678C2#2261852511yescharacteristic
679C2#2262152811yescharacteristic
680C2#2262159411yescharacteristic
681C2#2262252111yescharacteristic
682C2#2262254111yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1809C2
socleC23×C73C22×D4
prime radicalC22×C22⋊D73D4
cosocleC22×C4×C73C24
hypercenter#1809D73
hypocenterC73#22663
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1809

Complements

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

NH ≅ G/Ntype
2. C2×#17988629C2semidirect
3. C2×#17988626C2semidirect
6. #22610693C2semidirect
7. #22610688C2semidirect
8. #22610133C2semidirect
9. #22610128C2semidirect
10. #22610125C2semidirect
11. #22610123C2semidirect
12. #22610086C2semidirect
13. #22609965C2semidirect
14. #107×Dic73C2semidirect
15. C73×#1809C2semidirect
23. #17988663C4semidirect
68. C2×#11924011C2×C4semidirect
105. #14556525D4semidirect
112. #14556520C2×C4semidirect
113. C22⋊#10596831C2×C4semidirect
114. #14556503C2×C4semidirect
115. C8×Dic73C2×C4semidirect
123. C2×M16×C73C2×C4semidirect
292. C8×C73C4×D4semidirect
331. Dic73#428semidirect
355. #1809D73semidirect
357. C73#22663semidirect
414. C2×M16C4×D73semidirect
636. C8#14556551semidirect

Maximal subgroups

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

subgroupindex
C2×#179886632
C2×#179886292
C2×#179886262
#226128752
#226128272
#226106932
#226106882
#226101332
#226101282
#226101252
#226101232
#226100862
#226099652
#107×Dic732
C73×#18092
#2266373