Finite Group Databasebeta

← #33092555

Subgroups — #33092555

Order 18688.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988813C211yesmaximal, characteristic
2C2×#97×D73C211yesmaximal, characteristic, complemented
3C4×#14556567C211yesmaximal, characteristic, complemented
4C4×#14556562C211yesmaximal, characteristic
5#22610814C211yesmaximal, characteristic, complemented
6#22610672C211yesmaximal, characteristic, complemented
7#22610625C211yesmaximal, characteristic, complemented
8#22610618C211yesmaximal, characteristic, complemented
9#22610356C211yesmaximal, characteristic
10#22610351C211yesmaximal, characteristic, complemented
11#22609957C211yesmaximal, characteristic, complemented
12#22609828C211yesmaximal, characteristic, complemented
13#22609761C211yesmaximal, characteristic, complemented
14#22609756C211yesmaximal, characteristic, complemented
15C2×#440×C73C211yesmaximal, characteristic, complemented
16C22×C8×D73C2211yescharacteristic
17C22×C8×D73C2211yescharacteristic
18C2×#14556567C2211yescharacteristic
19C2×#14556562C2211yescharacteristic
20C2×C4×C22⋊D73—21no—
21C2×C42×D73C2211yescharacteristic
22#17988813C418yescomplemented
23C2×#14556525C2211yescharacteristic
24C2×#14556523C2211yescharacteristic
25C2×#14556515C2211yescharacteristic
26C2×#14556515C2211yescharacteristic
27C2×#14556512C2211yescharacteristic
28C2×#14556512C2211yescharacteristic
29C2×#14556502C2211yescharacteristic
30C2×#14556501C2211yescharacteristic
31C2×#14556501C2211yescharacteristic
32#97×D73—24no—
33#17988494C2211yescharacteristic
34#17988490C2211yescharacteristic
35#17988483C2211yescharacteristic
36#17988483C2211yescharacteristic
37#17988475—21no—
38#17988468—21no—
39#17988463—21no—
40#17988458—21no—
41#17988444C2211yescharacteristic
42#17988444C2211yescharacteristic
43C4×#11924007—21no—
44C4×C4⋊Dic73C2211yescharacteristic
45C4×C4⋊Dic73C2211yescharacteristic
46C4×#11924005—21no—
47C4×C22⋊Dic73—21no—
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988349C2211yescharacteristic
53#17988349C2211yescharacteristic
54C22×SD16×C73C2211yescharacteristic
55C2×C4×Q8×C73C2211yescharacteristic
56C2×C4×D4×C73C2211yescharacteristic
57#440×C73—24no—
58C2×#107×C73C2211yescharacteristic
59C2×#103×C73C2211yescharacteristic
60C2×#102×C73C2211yescharacteristic
61C2×#97×C73C2211yescharacteristic
62C22×C22⋊D73—21no—
63C22×C4×D73D411yescharacteristic
64C22×C4×D73D411yescharacteristic
65C22×C4×D73C2311yescharacteristic
66C22×#10596831C2311yescharacteristic
67C22×#10596831C2311yescharacteristic
68C2×C8×D73—22no—
69C2×C8×D73—22no—
70C2×C8×D73—22no—
71C2×C8×D73—22no—
72C2×C8×D73—22no—
73C2×C8×D73C2×C414yescomplemented
74#14556567—22no—
75#14556567C2×C414yescomplemented
76#14556562—22no—
77#14556562C2×C414yes—
78C4×C22⋊D73—44no—
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C4⋊Dic73C2311yescharacteristic
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×#11924007—21no—
84C2×#11924007—21no—
85C2×#11924007—21no—
86C2×C22⋊Dic73—21no—
87C2×C22⋊Dic73—21no—
88C2×C22⋊Dic73—21no—
89C2×#11924005—21no—
90C2×#11924005—21no—
91C2×#11924005—21no—
92C2×C4×Dic73—21no—
93C2×C4×Dic73—21no—
94C2×C4×Dic73D411yescharacteristic
95C2×C4×Dic73D411yescharacteristic
96C2×C4×Dic73C2311yescharacteristic
97C42×D73—22no—
98C42×D73—22no—
99#14556525—22no—
100#14556523C2×C414yescomplemented
101#14556515—22no—
102#14556515C2×C414yescomplemented
103#14556512—22no—
104#14556512C2×C414yescomplemented
105#14556502—22no—
106#14556501—22no—
107#14556501—22no—
108#14556498—21no—
109#14556498—21no—
110#14556498—21no—
111#14556498—21no—
112#14556498—21no—
113#14556498—21no—
114#14556498—21no—
115#14556498—21no—
116C22×Q8×C73C2311yescharacteristic
117C22×D4×C73C2311yescharacteristic
118C23×C4×C73—21no—
119C2×SD16×C73—22no—
120C2×SD16×C73—22no—
121C2×SD16×C73C2×C414yescomplemented
122C22×C8×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C4×Q8×C73—22no—
125C4×Q8×C73—22no—
126C4×D4×C73—22no—
127C4×D4×C73—22no—
128C2×C4⋊C4×C73—21no—
129C2×C4⋊C4×C73C2311yescharacteristic
130C2×C4⋊C4×C73C2311yescharacteristic
131C2×C22⋊C4×C73—21no—
132C2×C42×C73—21no—
133C2×C42×C73C2311yescharacteristic
134#107×C73—22no—
135#103×C73—22no—
136#102×C73—22no—
137#97×C73D414yescomplemented
138C23×D73C2×D411yescharacteristic
139C2×C22⋊D73—24no—
140C2×C22⋊D73—42no—
141C2×C22⋊D73—42no—
142C22×Dic73—21no—
143C22×Dic73—21no—
144C22×Dic73—21no—
145C22×Dic73—21no—
146C22×Dic73C2×D411yescharacteristic
147C22×Dic73C2×D411yescharacteristic
148C22×Dic73C2×D411yescharacteristic
149C2×C4×D73—21no—
150C2×C4×D73—21no—
151C2×C4×D73—21no—
152C2×C4×D73—21no—
153C2×C4×D73—22no—
154C2×C4×D73—22no—
155C2×C4×D73—22no—
156C2×C4×D73—22no—
157C2×C4×D73—41no—
158C2×C4×D73—41no—
159C2×C4×D73C22×C412yes—
160C2×C4×D73#4112yes—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—21no—
165C2×#10596831C22×C412yes—
166C2×#10596831#4112yes—
167C8×D73—28no—
168C8×D73—28no—
169C4⋊Dic73—21no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—21no—
175C4⋊Dic73C22×C412yes—
176C4⋊Dic73C22×C412yes—
177#11924007—24no—
178#11924007—42no—
179#11924007—42no—
180C22⋊Dic73—24no—
181C22⋊Dic73—42no—
182C22⋊Dic73—42no—
183#11924005—24no—
184#11924005—42no—
185#11924005—42no—
186C4×Dic73—22no—
187C4×Dic73—22no—
188C4×Dic73—21no—
189C4×Dic73—21no—
190C4×Dic73—42no—
191C4×Dic73—42no—
192C24×C73—21no—
193C2×Q8×C73—21no—
194C2×Q8×C73—21no—
195C2×Q8×C73—21no—
196C2×Q8×C73—21no—
197C2×Q8×C73—21no—
198C2×Q8×C73C22×C412yes—
199C2×D4×C73—21no—
200C2×D4×C73—21no—
201C2×D4×C73—21no—
202C2×D4×C73—21no—
203C2×D4×C73—21no—
204C2×D4×C73C22×C412yes—
205C22×C4×C73—21no—
206C22×C4×C73—21no—
207C22×C4×C73—21no—
208C22×C4×C73—42no—
209C22×C4×C73—42no—
210C22×C4×C73—42no—
211C22×C4×C73C2×D411yescharacteristic
212C22×C4×C73C2×D411yescharacteristic
213C22×C4×C73C2411yescharacteristic
214SD16×C73—28no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73C22×C412yes—
218C2×C8×C73C2×D412yes—
219C2×C8×C73C2×D412yes—
220C2×C8×C73#4112yes—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—21no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—42no—
226C22⋊C4×C73—42no—
227C42×C73—42no—
228C42×C73C2×D412yes—
229C42×C73#4112yes—
230C23×C73—22no—
231C23×C73—41no—
232C23×C73—41no—
233C23×C73—41no—
234C23×C73—41no—
235C23×C73—41no—
236C23×C73—41no—
237C23×C73C22×D411yescharacteristic
238C22×D73—21no—
239C22×D73—21no—
240C22×D73—21no—
241C22×D73—21no—
242C22×D73C4×D412yes—
243C22×D73AGL(1,ℤ/8)12yes—
244C22×D73#13712yes—
245Q8×C73—22no—
246Q8×C73—22no—
247Q8×C73—41no—
248Q8×C73—41no—
249D4×C73—22no—
250D4×C73—22no—
251D4×C73—41no—
252D4×C73—41no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—22no—
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×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—84no—
267C2×C4×C73#12112yes—
268C2×C4×C73#12112yes—
269C2×C4×C73C23×C411yescharacteristic
270C2×C4×C73C22×D411yescharacteristic
271C2×C4×C73C2×#4111yescharacteristic
272C2×C4×C73C2×#4111yescharacteristic
273C2×C4×C73C2×#4111yescharacteristic
274C2×C4×C73C2×#4111yescharacteristic
275C22⋊D73—48no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—22no—
279C2×Dic73—22no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—21no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73C4×D412yes—
297C4×D73—22no—
298C4×D73—22no—
299C4×D73—22no—
300C4×D73—22no—
301C4×D73—44no—
302C4×D73—44no—
303C8×C73—22no—
304C8×C73C4×D414yescomplemented
305#10596831—22no—
306#10596831—22no—
307C22×C73—42no—
308C22×C73—42no—
309C22×C73—42no—
310C22×C73—81no—
311C22×C73—81no—
312C22×C73—81no—
313C22×C73—81no—
314C22×C73C2×C4×D411yescharacteristic
315C22×C73C2×#12111yescharacteristic
316C22×C73#53211yescharacteristic
317C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C73C2×#13711yescharacteristic
319C22×C73#57511yescharacteristic
320C22×C73#57511yescharacteristic
321C2×D73—22no—
322C2×D73—22no—
323C2×D73—22no—
324C2×D73—22no—
325C2×D73—22no—
326C2×D73—22no—
327C2×D73#44014yescomplemented
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—42no—
331C4×C73—81no—
332C4×C73—81no—
333C4×C73C2×C4×D411yescharacteristic
334C4×C73C4×#4111yescharacteristic
335C4×C73#52511yescharacteristic
336C4×C73#52911yescharacteristic
337Dic73—22no—
338Dic73—42no—
339Dic73—42no—
340Dic73—41no—
341Dic73—41no—
342Dic73—81no—
343Dic73—81no—
344#21528—731nomaximal, Sylow
345C2×C73—82no—
346C2×C73C4×#12111yescharacteristic
347C2×C73C2×#44011yescharacteristic
348C2×C73#294311yescharacteristic
349C2×C73#305511yescharacteristic
350C2×C73#305611yescharacteristic
351C2×C73#318011yescharacteristic
352C2×C73#318111yescharacteristic
353D73—24no—
354C2×#465—731no—
355C2×#440D7311yescharacteristic, complemented
356C22×#97—731no—
357C4×C22⋊Q8—731no—
358C4×#121—731no—
359#1973—731no—
360#1944—731no—
361#1936—731no—
362#1935—731no—
363#1893—731no—
364#1892—731no—
365#1808—731no—
366#1776—731no—
367#1763—731no—
368#1762—731no—
369C73#2152811yescharacteristic, complemented, Sylow
370C22×SD16C2×D7311yescharacteristic
371C23×C8—731no—
372C23×C8—731no—
373C2×C22⋊Q8—731no—
374C2×#121—731no—
375C2×C4×Q8C2×D7311yescharacteristic
376C2×C4×D4—1461no—
377C2×C4×D4C2×D7311yescharacteristic
378C22×C42—731no—
379#465—738no—
380#440—24no—
381C2×#107—731no—
382C2×#107C2×D7311yescharacteristic
383C2×#106—731no—
384C2×#103—731no—
385C2×#103—731no—
386C2×#103C2×D7311yescharacteristic
387C2×#102—731no—
388C2×#102—731no—
389C2×#102C2×D7311yescharacteristic
390C2×#97—731no—
391C2×#97—731no—
392C2×#97—731no—
393C2×#97—1464no—
394C2×#97C2×D7311yescharacteristic
395#391—731no—
396#390—731no—
397#389—731no—
398#389—731no—
399#388—1461no—
400#387—1461no—
401#386—1461no—
402#385—1461no—
403#380—731no—
404#380—731no—
405C4×C4⋊C4—731no—
406C4×C4⋊C4—731no—
407C4×C4⋊C4—1461no—
408C4×C22⋊C4—1461no—
409C4×C22⋊C4—1461no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#340—731no—
415#340—731no—
416C22×Q8C22×D7311yescharacteristic
417C22×D4—1461no—
418C22×D4C22×D7311yescharacteristic
419C23×C4—21no—
420C23×C4—731no—
421C23×C4—731no—
422C23×C4—731no—
423C2×SD16—22no—
424C2×SD16—22no—
425C2×SD16C4×D7314yescomplemented
426C22×C8—731no—
427C22×C8—731no—
428C22×C8—734no—
429C22×C8—1462no—
430C22×C8—1462no—
431C22×C8—1462no—
432C22×C8—1462no—
433C22×C8—1462no—
434C22×C8C22×D7311yescharacteristic
435C22×C8C22×D7311yescharacteristic
436C22⋊Q8—734no—
437C22⋊Q8—1462no—
438#121—734no—
439#121—1462no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—2924no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—731no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4—1461no—
452C2×C4⋊C4—1461no—
453C2×C4⋊C4C22×D7311yescharacteristic
454C2×C4⋊C4C22×D7311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—1461no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1461no—
462C2×C42—21no—
463C2×C42—731no—
464C2×C42—731no—
465C2×C42—731no—
466C2×C42—1461no—
467C2×C42—1461no—
468C2×C42—1462no—
469C2×C42—1462no—
470C2×C42C22×D7311yescharacteristic
471#107—22no—
472#107—1462no—
473#106—734no—
474#103—22no—
475#103—734no—
476#103—1462no—
477#102—22no—
478#102—734no—
479#102—1462no—
480#97—1462no—
481#97—1462no—
482#97—1462no—
483#97C22⋊D7314yescomplemented
484#95—1461no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488#95—1461no—
489#95—1461no—
490#95—1461no—
491#95—1461no—
492C24—21no—
493C24—731no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D7312yes—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—2922no—
506C2×D4—2922no—
507C2×D4—1464no—
508C2×D4C2×C4×D7312yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—2921no—
516C22×C4—2921no—
517C22×C4—731no—
518C22×C4—732no—
519C22×C4—732no—
520C22×C4—731no—
521C22×C4—731no—
522C22×C4—1462no—
523C22×C4—1462no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1462no—
529C22×C4—1462no—
530C22×C4—1461no—
531C22×C4—1461no—
532C22×C4—1461no—
533C22×C4—1461no—
534C22×C4D4×D7311yescharacteristic
535C22×C4D4×D7311yescharacteristic
536C22×C4C23×D7311yescharacteristic
537SD16—28no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—732no—
541C2×C8—732no—
542C2×C8—1468no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C2×C8—1468no—
548C2×C8C2×C4×D7312yes—
549C2×C8C2×C22⋊D7312yes—
550C2×C8C2×C22⋊D7312yes—
551C2×C8#1192402812yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—2922no—
558C4⋊C4—2922no—
559C4⋊C4—732no—
560C4⋊C4—732no—
561C4⋊C4—1464no—
562C4⋊C4—1461no—
563C4⋊C4—1461no—
564C4⋊C4—1461no—
565C4⋊C4—1461no—
566C4⋊C4—1461no—
567C4⋊C4—1461no—
568C22⋊C4—42no—
569C22⋊C4—2922no—
570C22⋊C4—2922no—
571C22⋊C4—2922no—
572C22⋊C4—2922no—
573C22⋊C4—1464no—
574C22⋊C4—1464no—
575C42—42no—
576C42—2922no—
577C42—2922no—
578C42—1462no—
579C42—1462no—
580C42—1461no—
581C42—1461no—
582C42C2×C22⋊D7312yes—
583C42#1192402712yes—
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—732no—
592C23—732no—
593C23—732no—
594C23—1461no—
595C23—1461no—
596C23—1461no—
597C23—1461no—
598C23C2×D4×D7311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—2928no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—2924no—
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—2921no—
634C2×C4—732no—
635C2×C4—1461no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4—1462no—
639C2×C4—1462no—
640C2×C4—1461no—
641C2×C4—1461no—
642C2×C4—1461no—
643C2×C4—1461no—
644C2×C4—1461no—
645C2×C4—1462no—
646C2×C4—1462no—
647C2×C4—1462no—
648C2×C4—1462no—
649C2×C4#1455656212yes—
650C2×C4#1455656212yes—
651C2×C4C22×C4×D7311yescharacteristic
652C2×C4C22×C22⋊D7311yescharacteristic
653C2×C4#41×D7311yescharacteristic
654C2×C4#41×D7311yescharacteristic
655C2×C4C2×#1192402711yescharacteristic
656C2×C4C2×#1192402811yescharacteristic
657C8—22no—
658C8—1462no—
659C8—1462no—
660C8C4×C22⋊D7314yescomplemented
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—734no—
669C22—1462no—
670C22—1462no—
671C22—1462no—
672C22—1462no—
673C22—1462no—
674C22—1462no—
675C22C4×D4×D7311yescharacteristic
676C22C2×#1455656211yescharacteristic
677C22#1798913411yescharacteristic
678C22AGL(1,ℤ/8)×D7311yescharacteristic
679C22#137×D7311yescharacteristic
680C22#1798938311yescharacteristic
681C22#1798938611yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—2922no—
688C4—2922no—
689C4—2921no—
690C4—2921no—
691C4—5841no—
692C4—5841no—
693C4—1462no—
694C4C2×C4×C22⋊D7311yescharacteristic
695C4C4×#1192402711yescharacteristic
696C4#1798909411yescharacteristic
697C4#1798911911yescharacteristic
698C2—82no—
699C2—1464no—
700C2C4×#1455656211yescharacteristic
701C2#440×D7311yescharacteristic
702C2#2261872611yescharacteristic
703C2#2261954411yescharacteristic
704C2#2261955511yescharacteristic
705C2#2262062511yescharacteristic
706C2#2262063611yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#440×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556562C22
cosocleC22×C4×C73C24
hypercenterC2×#440D73
hypocenterC73#21528
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
2. C2×#97×D73C2semidirect
3. C4×#14556567C2semidirect
5. #22610814C2semidirect
6. #22610672C2semidirect
7. #22610625C2semidirect
8. #22610618C2semidirect
10. #22610351C2semidirect
11. #22609957C2semidirect
12. #22609828C2semidirect
13. #22609761C2semidirect
14. #22609756C2semidirect
15. C2×#440×C73C2semidirect
22. #17988813C4semidirect
73. C2×C8×D73C2×C4semidirect
75. #14556567C2×C4semidirect
100. #14556523C2×C4semidirect
102. #14556515C2×C4semidirect
104. #14556512C2×C4semidirect
121. C2×SD16×C73C2×C4semidirect
137. #97×C73D4semidirect
304. C8×C73C4×D4semidirect
327. C2×D73#440semidirect
355. C2×#440D73semidirect
369. C73#21528semidirect
425. C2×SD16C4×D73semidirect
483. #97C22⋊D73semidirect
660. C8C4×C22⋊D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179888132
C2×#97×D732
C4×#145565672
C4×#145565622
#226108142
#226106722
#226106252
#226106182
#226103562
#226103512
#226099572
#226098282
#226097612
#226097562
C2×#440×C732
#2152873