Finite Group Databasebeta

← #33104136

Subgroups — #33104136

Order 18688.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988655C211yesmaximal, characteristic
2C2×#17988628C211yesmaximal, characteristic, complemented
3C22×#14556522C211yesmaximal, characteristic, complemented
4#22612862C211yesmaximal, characteristic
5C4⋊C4×C22⋊D73C211yesmaximal, characteristic
6#22610696C211yesmaximal, characteristic, complemented
7#22610693C211yesmaximal, characteristic, complemented
8#22610127C211yesmaximal, characteristic, complemented
9#22610126C211yesmaximal, characteristic, complemented
10#22610125C211yesmaximal, characteristic, complemented
11#22610098C211yesmaximal, characteristic, complemented
12#22609963C211yesmaximal, characteristic, complemented
13#22609958C211yesmaximal, characteristic, complemented
14#22609827C211yesmaximal, characteristic, complemented
15C73×#1852C211yesmaximal, characteristic, complemented
16C22×#11924011C2211yescharacteristic
17C23×#10596831C2211yescharacteristic
18C2×C4×C22⋊D73—21no—
19C2×C4×C22⋊D73C2211yescharacteristic
20C2×#14556549C2211yescharacteristic
21C22×C4⋊Dic73C2211yescharacteristic
22C2×C4⋊C4×D73C2211yescharacteristic
23#17988655C418yescomplemented
24#17988628—24no—
25C2×#14556524C2211yescharacteristic
26C2×#14556524C2211yescharacteristic
27C2×#14556523C2211yescharacteristic
28C2×#14556523C2211yescharacteristic
29C2×#14556522—24no—
30C2×#14556522C2211yescharacteristic
31C2×#14556522C2211yescharacteristic
32C2×#14556522C2211yescharacteristic
33C2×#14556522C2211yescharacteristic
34C2×#14556520C2211yescharacteristic
35C2×#14556503C2211yescharacteristic
36C2×#14556501C2211yescharacteristic
37#17988482—21no—
38#17988479—21no—
39#17988474—21no—
40#17988464—21no—
41#17988460—21no—
42#17988458—21no—
43#17988456C2211yescharacteristic
44#17988452C2211yescharacteristic
45#17988447C2211yescharacteristic
46#17988444C2211yescharacteristic
47#17988444C2211yescharacteristic
48C4⋊C4×Dic73C2211yescharacteristic
49C4⋊C4×Dic73C2211yescharacteristic
50C22⋊C4×Dic73—21no—
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988349C2211yescharacteristic
54#17988349C2211yescharacteristic
55C22×C4⋊C4×C73C2211yescharacteristic
56C2×#107×C73C2211yescharacteristic
57C2×#107×C73C2211yescharacteristic
58C2×C22⋊C8×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×#10596831—22no—
70C22×#10596831—22no—
71C22×#10596831C2×C414yescomplemented
72C22×#10596831C2311yescharacteristic
73C22×#10596831C2311yescharacteristic
74C4×C22⋊D73—44no—
75C4×C22⋊D73C2×C414yes—
76C4×C22⋊D73Q814yes—
77#14556549—22no—
78#14556549—41no—
79C2×C4⋊Dic73—22no—
80C2×C4⋊Dic73—21no—
81C2×C4⋊Dic73—41no—
82C2×C4⋊Dic73C2311yescharacteristic
83C2×C4⋊Dic73C2311yescharacteristic
84C2×C4⋊Dic73C2311yescharacteristic
85C2×C4⋊Dic73C2311yescharacteristic
86C2×#11924007—21no—
87C2×#11924007—21no—
88C2×#11924007—21no—
89C2×#11924007D411yescharacteristic
90C4⋊C4×D73—22no—
91C4⋊C4×D73—41no—
92C2×C22⋊Dic73—21no—
93C2×C22⋊Dic73D411yescharacteristic
94C2×#11924005—21no—
95C2×#11924005—21no—
96C2×#11924005—21no—
97C2×#11924005D411yescharacteristic
98C2×C4×Dic73—21no—
99C2×C4×Dic73—21no—
100C2×C4×Dic73—21no—
101C2×C4×Dic73C2311yescharacteristic
102#14556524—22no—
103#14556524—22no—
104#14556523—22no—
105#14556523—41no—
106#14556522—22no—
107#14556522—22no—
108#14556522—22no—
109#14556522D414yescomplemented
110#14556520C2×C414yescomplemented
111#14556503C2×C414yescomplemented
112#14556501C2×C414yescomplemented
113#14556498—21no—
114#14556498—21no—
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118#14556498—21no—
119#14556498—21no—
120C23×C4×C73—21no—
121C23×C4×C73C2311yescharacteristic
122C22×C8×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C2×C4⋊C4×C73—22no—
125C2×C4⋊C4×C73—21no—
126C2×C4⋊C4×C73—41no—
127C2×C4⋊C4×C73C2311yescharacteristic
128C2×C4⋊C4×C73C2311yescharacteristic
129C2×C4⋊C4×C73C2311yescharacteristic
130C2×C4⋊C4×C73C2311yescharacteristic
131C2×C22⋊C4×C73—21no—
132#107×C73—22no—
133#107×C73—41no—
134C22⋊C8×C73C2×C414yescomplemented
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—28no—
163C2×#10596831C22×C412yes—
164C2×#10596831C22×C412yes—
165C2×#10596831C2×D412yes—
166C2×#10596831#4112yes—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—42no—
175C4⋊Dic73C2×D412yes—
176#11924007—42no—
177#11924007—42no—
178#11924007—81no—
179#11924007C4⋊C414yes—
180C22⋊Dic73—42no—
181C22⋊Dic73C4⋊C414yes—
182#11924005—42no—
183#11924005—42no—
184#11924005—81no—
185#11924005C4⋊C414yes—
186C4×Dic73—42no—
187C4×Dic73—42no—
188C4×Dic73—81no—
189C4×Dic73C22×C412yes—
190C4×Dic73C2×Q812yes—
191C24×C73C2×D411yescharacteristic
192C22×C4×C73—21no—
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—42no—
202C22×C4×C73—81no—
203C22×C4×C73C22×C412yes—
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×Q812yes—
206C22×C4×C73C2411yescharacteristic
207C2×C8×C73—21no—
208C2×C8×C73—21no—
209C2×C8×C73—21no—
210C2×C8×C73—21no—
211C2×C8×C73C22×C412yes—
212C2×C8×C73C22×C412yes—
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—42no—
221C4⋊C4×C73C2×D412yes—
222C22⋊C4×C73—42no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73C2×C4⋊C412yes—
228C23×C73AGL(1,ℤ/8)12yes—
229C23×C73#13712yes—
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—22no—
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×C73—84no—
257C2×C4×C73C2×C4⋊C412yes—
258C2×C4×C73C23×C411yescharacteristic
259C2×C4×C73C22×D411yescharacteristic
260C2×C4×C73C22×Q811yescharacteristic
261C2×C4×C73C2×#4111yescharacteristic
262C2×C4×C73H(5,𝔽2)11yescharacteristic
263C2×C4×C732−1+411yescharacteristic
264C22⋊D73—28no—
265C2×Dic73—21no—
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—22no—
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—41no—
281C2×Dic73—41no—
282C2×Dic73—41no—
283C2×Dic73—84no—
284C2×Dic73C2×C4⋊C412yes—
285C2×Dic73C2×C4⋊C412yes—
286C2×Dic73C2×C4⋊C412yes—
287C4×D73—22no—
288C4×D73—22no—
289C4×D73—22no—
290C4×D73—22no—
291C4×D73—84no—
292C8×C73—22no—
293C8×C73—22no—
294#10596831—22no—
295#10596831C4×D414yescomplemented
296C22×C73—22no—
297C22×C73—22no—
298C22×C73—22no—
299C22×C73—22no—
300C22×C73—22no—
301C22×C73—22no—
302C22×C73#42814yescomplemented
303C22×C73C22×C4⋊C411yescharacteristic
304C22×C73D4211yescharacteristic
305C22×C73#54711yescharacteristic
306C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C73C2×#13711yescharacteristic
308C22×C73#57711yescharacteristic
309C22×C73#57711yescharacteristic
310C2×D73—22no—
311C2×D73—22no—
312C2×D73—22no—
313C2×D73—41no—
314C2×D73—41no—
315C2×D73—41no—
316C2×D73—41no—
317C4×C73—22no—
318C4×C73—42no—
319C4×C73—81no—
320C4×C73—81no—
321C4×C73—81no—
322C4×C73C2×C4×D411yescharacteristic
323C4×C73#52011yescharacteristic
324C4×C73D4×Q811yescharacteristic
325C4×C73#55411yescharacteristic
326Dic73—22no—
327Dic73—22no—
328Dic73—22no—
329Dic73—42no—
330Dic73—81no—
331Dic73—81no—
332Dic73—81no—
333#22659—731nomaximal, Sylow
334C2×C73—24no—
335C2×C73D4×C4⋊C411yescharacteristic
336C2×C73C2×#42811yescharacteristic
337C2×C73#291211yescharacteristic
338C2×C73#326511yescharacteristic
339C2×C73#326611yescharacteristic
340C2×C73#334411yescharacteristic
341C2×C73#334511yescharacteristic
342D73—42no—
343C2×#435—731no—
344C2×#428—731no—
345C22×#106—731no—
346#2352—731no—
347D4×C4⋊C4—731no—
348#1949—731no—
349#1948—731no—
350#1854—731no—
351#1853—731no—
352#1853—731no—
353#1852D7311yescharacteristic, complemented
354#1847—731no—
355#1809—731no—
356#1808—731no—
357#1776—731no—
358C73#2265911yescharacteristic, complemented, Sylow
359C22×M16—731no—
360C23×C8—731no—
361C2×C4×D4—731no—
362C2×C4×D4—1461no—
363C2×#117—731no—
364C22×C4⋊C4—731no—
365C22×C4⋊C4—731no—
366C22×C4⋊C4C2×D7311yescharacteristic
367#435—738no—
368#428—1464no—
369C2×#107—731no—
370C2×#107—731no—
371C2×#107C2×D7311yescharacteristic
372C2×#107C2×D7311yescharacteristic
373C2×#106—731no—
374C2×#106—731no—
375C2×#106—731no—
376C2×#106—731no—
377C2×#106—731no—
378C2×#106—731no—
379C2×#106—1464no—
380C2×C4⋊C8—731no—
381C2×C22⋊C8—731no—
382C2×C22⋊C8C2×D7311yescharacteristic
383C2×#97—731no—
384#389—1461no—
385#388—1461no—
386#387—1461no—
387#386—1461no—
388#385—1461no—
389#385—1461no—
390#384—731no—
391#382—731no—
392#380—731no—
393#380—731no—
394#380—731no—
395#380C2×D7311yescharacteristic
396C4×C4⋊C4—731no—
397C4×C4⋊C4—731no—
398C4×C22⋊C4—1461no—
399#340—731no—
400#340—731no—
401#340—731no—
402#340—731no—
403#340C2×D7311yescharacteristic
404#340C2×D7311yescharacteristic
405C22×D4—731no—
406C23×C4—21no—
407C23×C4—731no—
408C23×C4—1461no—
409C23×C4—1461no—
410C23×C4C22×D7311yescharacteristic
411C2×M16—734no—
412C2×M16—1462no—
413C2×M16—1462no—
414C22×C8—731no—
415C22×C8—734no—
416C22×C8—731no—
417C22×C8—1462no—
418C22×C8—1462no—
419C22×C8C22×D7311yescharacteristic
420C22×C8C22×D7311yescharacteristic
421C4×D4—2924no—
422C4×D4—734no—
423C4×D4—734no—
424#117—2921no—
425#117—1462no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—2921no—
430C2×C4⋊C4—2921no—
431C2×C4⋊C4—731no—
432C2×C4⋊C4—731no—
433C2×C4⋊C4—731no—
434C2×C4⋊C4—731no—
435C2×C4⋊C4—731no—
436C2×C4⋊C4—1461no—
437C2×C4⋊C4—1461no—
438C2×C4⋊C4—1461no—
439C2×C4⋊C4—1462no—
440C2×C4⋊C4—1462no—
441C2×C4⋊C4—1461no—
442C2×C4⋊C4C22×D7311yescharacteristic
443C2×C4⋊C4C22×D7311yescharacteristic
444C2×C4⋊C4C22×D7311yescharacteristic
445C2×C4⋊C4C22×D7311yescharacteristic
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—
457#107—22no—
458#107—41no—
459#107—1462no—
460#107—1462no—
461#106—2921no—
462#106—734no—
463#106—1462no—
464#106—1462no—
465#106—1462no—
466#106—1462no—
467C4⋊C8—734no—
468C22⋊C8—734no—
469C22⋊C8C4×D7314yescomplemented
470#97—734no—
471#95—21no—
472#95—1461no—
473#95—1461no—
474#95—1461no—
475#95—1461no—
476#95—1461no—
477#95—1461no—
478#95—1461no—
479C24—731no—
480C24D4×D7311yescharacteristic
481C2×D4—734no—
482C2×D4—1462no—
483C2×D4—1462no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—81no—
495C22×C4—2922no—
496C22×C4—2922no—
497C22×C4—2922no—
498C22×C4—2922no—
499C22×C4—5841no—
500C22×C4—5841no—
501C22×C4—731no—
502C22×C4—731no—
503C22×C4—731no—
504C22×C4—732no—
505C22×C4—732no—
506C22×C4—1461no—
507C22×C4—1461no—
508C22×C4—1461no—
509C22×C4—1461no—
510C22×C4—1461no—
511C22×C4—1461no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4C2×C4×D7312yes—
515C22×C4D4×D7311yescharacteristic
516C22×C4Q8×D7312yes—
517C22×C4C23×D7311yescharacteristic
518M16—1468no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—732no—
524C2×C8—732no—
525C2×C8—732no—
526C2×C8—732no—
527C2×C8—1468no—
528C2×C8—1461no—
529C2×C8—1461no—
530C2×C8C2×C4×D7312yes—
531C2×C8C2×C4×D7312yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—42no—
540C4⋊C4—2922no—
541C4⋊C4—2922no—
542C4⋊C4—2922no—
543C4⋊C4—5841no—
544C4⋊C4—734no—
545C4⋊C4—732no—
546C4⋊C4—1461no—
547C4⋊C4—1461no—
548C4⋊C4—1461no—
549C4⋊C4—1461no—
550C4⋊C4—1461no—
551C4⋊C4—1461no—
552C4⋊C4—1461no—
553C4⋊C4D4×D7312yes—
554C22⋊C4—42no—
555C22⋊C4—2922no—
556C22⋊C4—2922no—
557C22⋊C4—2922no—
558C22⋊C4—5841no—
559C22⋊C4—734no—
560C22⋊C4—734no—
561C42—2922no—
562C42—2922no—
563C42—5841no—
564C42—732no—
565C42—732no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—732no—
571C23—1461no—
572C23—1461no—
573C23—1461no—
574C23—1461no—
575C23—1461no—
576C23—1461no—
577C23C4⋊C4×D7312yes—
578C23#1455661512yes—
579C23#1455662312yes—
580C23C2×D4×D7311yescharacteristic
581D4—1468no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
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—41no—
600C2×C4—84no—
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—2921no—
610C2×C4—2921no—
611C2×C4—2921no—
612C2×C4—5844no—
613C2×C4—5844no—
614C2×C4—732no—
615C2×C4—732no—
616C2×C4—732no—
617C2×C4—1462no—
618C2×C4—1461no—
619C2×C4—1461no—
620C2×C4—1461no—
621C2×C4—1461no—
622C2×C4—1461no—
623C2×C4—1461no—
624C2×C4—1462no—
625C2×C4—1462no—
626C2×C4—1462no—
627C2×C4—1462no—
628C2×C4C4⋊C4×D7312yes—
629C2×C4C22×C4×D7311yescharacteristic
630C2×C4C2×D4×D7311yescharacteristic
631C2×C4C2×Q8×D7311yescharacteristic
632C2×C4#41×D7311yescharacteristic
633C2×C4#1455663611yescharacteristic
634C2×C4#1455663811yescharacteristic
635C8—22no—
636C8—22no—
637C8—734no—
638C8—1462no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—2921no—
646C22—2921no—
647C22—2921no—
648C22—2921no—
649C22—1462no—
650C22—1462no—
651C22—1462no—
652C22#1798862814yescomplemented
653C22C2×C4⋊C4×D7311yescharacteristic
654C22#1798921911yescharacteristic
655C22#1798923511yescharacteristic
656C22C2×#1455661511yescharacteristic
657C22C2×#1455662311yescharacteristic
658C22#1798939611yescharacteristic
659C22#1798939711yescharacteristic
660C4—22no—
661C4—42no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—2922no—
666C4—5841no—
667C4—5841no—
668C4—5841no—
669C4—1462no—
670C4—1462no—
671C4—1462no—
672C4C4×D4×D7311yescharacteristic
673C4#1798906611yescharacteristic
674C4#1798925011yescharacteristic
675C4#1798929111yescharacteristic
676C2—24no—
677C2—2922no—
678C2#2261282911yescharacteristic
679C2C2×#1798862811yescharacteristic
680C2#2261852511yescharacteristic
681C2#2262143011yescharacteristic
682C2#2262143411yescharacteristic
683C2#2262238411yescharacteristic
684C2#2262240511yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1852C2
socleC23×C73C22×D4
prime radicalC22×C22⋊D73D4
cosocleC22×C4×C73C24
hypercenter#1852D73
hypocenterC73#22659
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#17988628C2semidirect
3. C22×#14556522C2semidirect
6. #22610696C2semidirect
7. #22610693C2semidirect
8. #22610127C2semidirect
9. #22610126C2semidirect
10. #22610125C2semidirect
11. #22610098C2semidirect
12. #22609963C2semidirect
13. #22609958C2semidirect
14. #22609827C2semidirect
15. C73×#1852C2semidirect
23. #17988655C4semidirect
68. C2×#11924011C2×C4semidirect
71. C22×#10596831C2×C4semidirect
109. #14556522D4semidirect
110. #14556520C2×C4semidirect
111. #14556503C2×C4semidirect
112. #14556501C2×C4semidirect
134. C22⋊C8×C73C2×C4semidirect
295. #10596831C4×D4semidirect
302. C22×C73#428semidirect
353. #1852D73semidirect
358. C73#22659semidirect
469. C22⋊C8C4×D73semidirect
652. C22#17988628semidirect

Maximal subgroups

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

subgroupindex
C2×#179886552
C2×#179886282
C22×#145565222
#226128622
C4⋊C4×C22⋊D732
#226106962
#226106932
#226101272
#226101262
#226101252
#226100982
#226099632
#226099582
#226098272
C73×#18522
#2265973