Finite Group Databasebeta

← #33086728

Subgroups — #33086728

Order 18688.

1630 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D73C211yesmaximal, characteristic
2C2×#17988627C211yesmaximal, characteristic, complemented
3C2×#17988550C211yesmaximal, characteristic
4C2×#17988444C211yesmaximal, characteristic
5#22610129C212yesmaximal, complemented
6#22610127C212yesmaximal, complemented
7#22610122C212yesmaximal, complemented
8#22610117C212yesmaximal, complemented
9#22609652C211yesmaximal, characteristic, complemented
10#22609651C211yesmaximal, characteristic, complemented
11C2×#428×C73C211yesmaximal, characteristic, complemented
12C23×C4×D73C2211yescharacteristic
13C22×#11924012C2211yescharacteristic
14C2×#14556550C2211yescharacteristic
15C2×#14556549C2211yescharacteristic
16C2×#14556549C2211yescharacteristic
17C2×#14556548—21no—
18C2×#14556547—21no—
19#117×D73—24no—
20#117×D73—24no—
21C22×C4⋊Dic73C2211yescharacteristic
22C2×C4⋊C4×D73C2211yescharacteristic
23C2×C4⋊C4×D73C2211yescharacteristic
24C22×#11924005—21no—
25C2×C22⋊C4×D73—21no—
26C2×C42×D73—21no—
27#17988627—24no—
28C2×#14556524C2212yescomplemented
29C2×#14556522C2212yescomplemented
30#17988550C418yescomplemented
31C2×#14556503C2212yes—
32C2×#14556503C2212yes—
33#17988444—21no—
34#17988444—21no—
35#17988444C2212yes—
36#17988444C2212yes—
37C2×#14556498—21no—
38#17988350C2212yescomplemented
39#17988350C2212yescomplemented
40#17988349C2212yescomplemented
41#17988349C2212yescomplemented
42C22×M16×C73C2211yescharacteristic
43C2×#117×C73C2211yescharacteristic
44C22×C4⋊C4×C73C2211yescharacteristic
45#428×C73—24no—
46C2×#107×C73C2212yescomplemented
47C2×#106×C73C2212yescomplemented
48C24×D73D411yescharacteristic
49C23×Dic73—21no—
50C23×Dic73D411yescharacteristic
51C22×C4×D73—21no—
52C22×C4×D73—21no—
53C22×C4×D73—22no—
54C22×C4×D73—22no—
55C22×C4×D73—22no—
56C22×C4×D73—22no—
57C22×C4×D73C2×C414yes—
58C22×C4×D73D411yescharacteristic
59C22×C4×D73D411yescharacteristic
60C22×C4×D73Q814yes—
61C22×C4×D73C2311yescharacteristic
62C22×C4×D73C2311yescharacteristic
63C2×#11924012—22no—
64C2×#11924012—22no—
65C2×#11924012C2×C414yescomplemented
66C22×#10596831C2312yes—
67#14556550—22no—
68#14556550D414yes—
69#14556549—22no—
70#14556549—22no—
71#14556549—22no—
72#14556549—22no—
73#14556548—28no—
74#14556547—28no—
75C2×C4⋊Dic73—21no—
76C2×C4⋊Dic73—22no—
77C2×C4⋊Dic73—22no—
78C2×C4⋊Dic73C2312yes—
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C4⋊Dic73C2311yescharacteristic
81C2×#11924007—21no—
82C2×#11924007—21no—
83C4⋊C4×D73—22no—
84C4⋊C4×D73—22no—
85C4⋊C4×D73—22no—
86C4⋊C4×D73—22no—
87C2×C22⋊Dic73—21no—
88C2×#11924005—21no—
89C2×#11924005—21no—
90C2×#11924005—22no—
91C2×#11924005—22no—
92C2×#11924005—44no—
93C22⋊C4×D73—28no—
94C2×C4×Dic73—21no—
95C2×C4×Dic73—21no—
96C2×C4×Dic73—21no—
97C42×D73—28no—
98#14556524—24no—
99#14556522—24no—
100#14556503C2×C418yescomplemented
101#14556503C2×C418yescomplemented
102#14556498—22no—
103#14556498—22no—
104C23×C4×C73—21no—
105C23×C4×C73C2311yescharacteristic
106C2×M16×C73—22no—
107C2×M16×C73—22no—
108C2×M16×C73C2×C414yescomplemented
109C22×C8×C73C2312yes—
110#117×C73—22no—
111#117×C73D414yes—
112C2×C4⋊C4×C73—22no—
113C2×C4⋊C4×C73—22no—
114C2×C4⋊C4×C73—21no—
115C2×C4⋊C4×C73C2312yes—
116C2×C4⋊C4×C73C2311yescharacteristic
117C2×C4⋊C4×C73C2311yescharacteristic
118C2×C22⋊C4×C73—21no—
119C2×C42×C73—21no—
120#107×C73—24no—
121#106×C73—24no—
122C23×D73—22no—
123C23×D73—22no—
124C23×D73—22no—
125C23×D73—22no—
126C23×D73—41no—
127C23×D73—41no—
128C23×D73C4⋊C414yes—
129C23×D73C2×D411yescharacteristic
130C23×D73C2×D411yescharacteristic
131C22×Dic73—22no—
132C22×Dic73—22no—
133C22×Dic73—21no—
134C22×Dic73—21no—
135C22×Dic73—22no—
136C22×Dic73—42no—
137C22×Dic73—42no—
138C22×Dic73—42no—
139C22×Dic73C4⋊C414yes—
140C22×Dic73C2×D411yescharacteristic
141C22×Dic73C2×D411yescharacteristic
142C2×C4×D73—28no—
143C2×C4×D73—28no—
144C2×C4×D73—22no—
145C2×C4×D73—22no—
146C2×C4×D73—28no—
147C2×C4×D73—28no—
148C2×C4×D73—22no—
149C2×C4×D73—22no—
150C2×C4×D73—21no—
151C2×C4×D73—21no—
152C2×C4×D73—21no—
153C2×C4×D73—21no—
154C2×C4×D73—21no—
155C2×C4×D73—21no—
156C2×C4×D73—21no—
157C2×C4×D73—21no—
158C2×C4×D73—24no—
159C2×C4×D73—24no—
160C2×C4×D73—42no—
161C2×C4×D73—42no—
162C2×C4×D73—42no—
163C2×C4×D73—42no—
164C2×C4×D73C4⋊C414yes—
165C2×C4×D73C4⋊C414yes—
166C2×C4×D73C22×C412yes—
167C2×C4×D73C22×C412yes—
168C2×C4×D73C2×Q812yes—
169C2×C4×D73C2×Q812yes—
170#11924012—28no—
171C2×#10596831—22no—
172C2×#10596831—22no—
173C2×#10596831C22×C414yes—
174C4⋊Dic73—21no—
175C4⋊Dic73—21no—
176C4⋊Dic73—22no—
177C4⋊Dic73—22no—
178C4⋊Dic73—42no—
179C4⋊Dic73C2×D412yes—
180C4⋊Dic73C2×D412yes—
181#11924007—24no—
182#11924007—24no—
183C22⋊Dic73—24no—
184#11924005—24no—
185#11924005—24no—
186#11924005—44no—
187#11924005—44no—
188C4×Dic73—24no—
189C4×Dic73—24no—
190C4×Dic73—24no—
191C24×C73C2×D411yescharacteristic
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—22no—
195C22×C4×C73—42no—
196C22×C4×C73—42no—
197C22×C4×C73—42no—
198C22×C4×C73C22×C412yes—
199C22×C4×C73C2×D411yescharacteristic
200C22×C4×C73C2×D412yes—
201C22×C4×C73C2×D412yes—
202C22×C4×C73C2×Q812yes—
203C22×C4×C73#4112yes—
204C22×C4×C73#4112yes—
205C22×C4×C73C2411yescharacteristic
206M16×C73—28no—
207C2×C8×C73—22no—
208C2×C8×C73—22no—
209C2×C8×C73C22×C414yes—
210C4⋊C4×C73—21no—
211C4⋊C4×C73—21no—
212C4⋊C4×C73—22no—
213C4⋊C4×C73—22no—
214C4⋊C4×C73—42no—
215C4⋊C4×C73C2×D412yes—
216C4⋊C4×C73C2×D412yes—
217C22⋊C4×C73—24no—
218C42×C73—24no—
219C23×C73—21no—
220C23×C73—21no—
221C23×C73—21no—
222C23×C73—21no—
223C23×C73C2×C4⋊C412yes—
224C23×C73#12012yes—
225C23×C73#12312yes—
226C23×C73C22×D411yescharacteristic
227C22×D73—21no—
228C22×D73—21no—
229C22×D73—21no—
230C22×D73—21no—
231C22×D73—21no—
232C22×D73—21no—
233C22×D73—21no—
234C22×D73—21no—
235C22×D73—21no—
236C22×D73—21no—
237C22×D73—28no—
238C22×D73—28no—
239C22×D73—44no—
240C22×D73—44no—
241C22×D73—44no—
242C22×D73—44no—
243C22×D73—44no—
244C22×D73C2×C4⋊C412yes—
245C22×D73C2×C4⋊C412yes—
246C22×D73AGL(1,ℤ/8)12yes—
247C22×D73#13712yes—
248C2×C4×C73—22no—
249C2×C4×C73—22no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
252C2×C4×C73—41no—
253C2×C4×C73—41no—
254C2×C4×C73—42no—
255C2×C4×C73—42no—
256C2×C4×C73—42no—
257C2×C4×C73—84no—
258C2×C4×C73C2×C4⋊C412yes—
259C2×C4×C73C4×D414yes—
260C2×C4×C73C4×D414yes—
261C2×C4×C73#12012yes—
262C2×C4×C73C22⋊Q814yes—
263C2×C4×C73C22⋊Q814yes—
264C2×C4×C73#12312yes—
265C2×C4×C73C23×C411yescharacteristic
266C2×C4×C73C22×D411yescharacteristic
267C2×C4×C73C22×D411yescharacteristic
268C2×C4×C73C22×Q811yescharacteristic
269C2×C4×C73C2×#4111yescharacteristic
270C2×C4×C73C2×#4111yescharacteristic
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—28no—
276C2×Dic73—22no—
277C2×Dic73—22no—
278C2×Dic73—41no—
279C2×Dic73—41no—
280C2×Dic73—41no—
281C2×Dic73—41no—
282C2×Dic73—42no—
283C2×Dic73—42no—
284C2×Dic73—42no—
285C2×Dic73—84no—
286C2×Dic73C2×C4⋊C412yes—
287C2×Dic73C2×C4⋊C412yes—
288C4×D73—22no—
289C4×D73—22no—
290C4×D73—22no—
291C4×D73—22no—
292C4×D73—22no—
293C4×D73—22no—
294C4×D73—22no—
295C4×D73—22no—
296C4×D73—28no—
297C4×D73—28no—
298C4×D73—48no—
299C4×D73—48no—
300C8×C73—24no—
301#10596831—24no—
302C22×C73—22no—
303C22×C73—22no—
304C22×C73—22no—
305C22×C73—22no—
306C22×C73—22no—
307C22×C73—22no—
308C22×C73#38514yes—
309C22×C73C22×C4⋊C411yescharacteristic
310C22×C73C2×#12011yescharacteristic
311C22×C73C2×#12311yescharacteristic
312C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C73C2×#13711yescharacteristic
314C22×C73#57511yescharacteristic
315C22×C73#57511yescharacteristic
316C2×D73—22no—
317C2×D73—22no—
318C2×D73—22no—
319C2×D73—22no—
320C2×D73—22no—
321C2×D73—22no—
322C2×D73—22no—
323C2×D73—22no—
324C2×D73—22no—
325C2×D73—416no—
326C2×D73—41no—
327C2×D73—41no—
328C2×D73—41no—
329C2×D73—41no—
330C2×D73#42814yescomplemented
331C4×C73—42no—
332C4×C73—42no—
333C4×C73—82no—
334C4×C73#38514yes—
335C4×C73C2×C4×D411yescharacteristic
336C4×C73C2×C4×D411yescharacteristic
337C4×C73C2×C22⋊Q811yescharacteristic
338C4×C73C2×C22⋊Q811yescharacteristic
339Dic73—22no—
340Dic73—22no—
341Dic73—42no—
342Dic73—42no—
343Dic73—82no—
344#20846—731nomaximal, Sylow
345C2×C73—24no—
346C2×C73C2×#38511yescharacteristic
347C2×C73C2×#42811yescharacteristic
348C2×C73#291111yescharacteristic
349C2×C73#300611yescharacteristic
350C2×C73#300711yescharacteristic
351C2×C73#309411yescharacteristic
352C2×C73#309511yescharacteristic
353D73—24no—
354D73—42no—
355C22×#117—731no—
356C2×#428—731no—
357C2×#428D7311yescharacteristic, complemented
358C2×#407—731no—
359C2×#380—731no—
360#1854—732no—
361#1854—732no—
362#1853—732no—
363#1852—732no—
364#1736—731no—
365#1736—731no—
366C73#2084611yescharacteristic, complemented, Sylow
367C24×C4—731no—
368C22×M16—731no—
369C22×M16C2×D7311yescharacteristic
370C2×#117—731no—
371C2×#117—731no—
372C2×#117—731no—
373C2×#117—1461no—
374C2×#117—1461no—
375C2×#117—1464no—
376C2×#117—1464no—
377C2×#117C2×D7311yescharacteristic
378C22×C4⋊C4—731no—
379C22×C4⋊C4—731no—
380C22×C4⋊C4—731no—
381C22×C4⋊C4C2×D7311yescharacteristic
382C22×C22⋊C4—1461no—
383C22×C22⋊C4—1461no—
384C22×C42—1461no—
385#428—24no—
386#428—1464no—
387C2×#107—732no—
388C2×#107C2×D7312yescomplemented
389C2×#106—732no—
390C2×#106C2×D7312yescomplemented
391#407—738no—
392C2×C22⋊C8—732no—
393C2×C22⋊C8—732no—
394#380—732no—
395#380—732no—
396#380—1461no—
397#380—1461no—
398C2×#95—1461no—
399#340—732no—
400#340—732no—
401#340—732no—
402#340—732no—
403C25—731no—
404C23×C4—21no—
405C23×C4—731no—
406C23×C4—734no—
407C23×C4—731no—
408C23×C4—731no—
409C23×C4—734no—
410C23×C4—731no—
411C23×C4—731no—
412C23×C4—1461no—
413C23×C4—1461no—
414C23×C4—1461no—
415C23×C4—1462no—
416C23×C4—1462no—
417C23×C4—1462no—
418C23×C4—1462no—
419C23×C4C22×D7311yescharacteristic
420C2×M16—22no—
421C2×M16—22no—
422C2×M16—734no—
423C2×M16—1462no—
424C2×M16—1462no—
425C2×M16C4×D7314yescomplemented
426C22×C8—732no—
427C22×C8C22×D7312yes—
428#117—22no—
429#117—734no—
430#117—1468no—
431#117—1468no—
432#117—1462no—
433#117—1462no—
434#117—1462no—
435#117—1462no—
436#117—1462no—
437#117C22⋊D7314yes—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—731no—
442C2×C4⋊C4—731no—
443C2×C4⋊C4—732no—
444C2×C4⋊C4—1462no—
445C2×C4⋊C4—1462no—
446C2×C4⋊C4—1461no—
447C2×C4⋊C4—1462no—
448C2×C4⋊C4—1462no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4—1462no—
452C2×C4⋊C4—1462no—
453C2×C4⋊C4C22×D7312yes—
454C2×C4⋊C4C22×D7311yescharacteristic
455C2×C4⋊C4C22×D7311yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—2924no—
458C2×C22⋊C4—1468no—
459C2×C22⋊C4—1462no—
460C2×C22⋊C4—1462no—
461C2×C22⋊C4—1461no—
462C2×C22⋊C4—1461no—
463C2×C22⋊C4—1461no—
464C2×C42—21no—
465C2×C42—1468no—
466C2×C42—1461no—
467C2×C42—1461no—
468C2×C42—1461no—
469#107—24no—
470#107—1464no—
471#106—24no—
472#106—1464no—
473C22⋊C8—738no—
474C22⋊C8—738no—
475#95—1462no—
476#95—1462no—
477C24—2921no—
478C24—2921no—
479C24—734no—
480C24—731no—
481C24—731no—
482C24—1462no—
483C24—1462no—
484C24—1462no—
485C24—1462no—
486C24D4×D7311yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—2922no—
494C22×C4—2922no—
495C22×C4—2922no—
496C22×C4—2922no—
497C22×C4—2922no—
498C22×C4—2922no—
499C22×C4—2922no—
500C22×C4—734no—
501C22×C4—731no—
502C22×C4—731no—
503C22×C4—734no—
504C22×C4—734no—
505C22×C4—732no—
506C22×C4—732no—
507C22×C4—732no—
508C22×C4—732no—
509C22×C4—1464no—
510C22×C4—1464no—
511C22×C4—1462no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4—1462no—
515C22×C4—1462no—
516C22×C4—1468no—
517C22×C4—1468no—
518C22×C4—1462no—
519C22×C4—1462no—
520C22×C4—1468no—
521C22×C4—1468no—
522C22×C4—1462no—
523C22×C4—1462no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4—1461no—
530C22×C4—1461no—
531C22×C4—1461no—
532C22×C4C2×C4×D7312yes—
533C22×C4D4×D7311yescharacteristic
534C22×C4D4×D7312yes—
535C22×C4C2×C22⋊D7312yes—
536C22×C4Q8×D7312yes—
537C22×C4#1192402812yes—
538C22×C4#1192402912yes—
539C22×C4C23×D7311yescharacteristic
540M16—28no—
541M16—1468no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—734no—
545C2×C8—1462no—
546C2×C8—1462no—
547C2×C8C2×C4×D7314yes—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—42no—
553C4⋊C4—2922no—
554C4⋊C4—732no—
555C4⋊C4—732no—
556C4⋊C4—1464no—
557C4⋊C4—1464no—
558C4⋊C4—1462no—
559C4⋊C4—1462no—
560C4⋊C4—1461no—
561C4⋊C4—1461no—
562C4⋊C4C2×C22⋊D7312yes—
563C4⋊C4C2×C22⋊D7312yes—
564C22⋊C4—24no—
565C22⋊C4—2924no—
566C22⋊C4—2924no—
567C22⋊C4—1464no—
568C22⋊C4—1464no—
569C22⋊C4—1464no—
570C42—24no—
571C42—1464no—
572C42—1464no—
573C42—1464no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—2924no—
579C23—2924no—
580C23—2924no—
581C23—2924no—
582C23—2924no—
583C23—732no—
584C23—732no—
585C23—732no—
586C23—732no—
587C23—1468no—
588C23—1461no—
589C23—1461no—
590C23—1461no—
591C23—1468no—
592C23—1461no—
593C23—1461no—
594C23—1461no—
595C23—1461no—
596C23—1461no—
597C23—1461no—
598C23—1461no—
599C23C4⋊C4×D7312yes—
600C23#1455655912yes—
601C23#1455657612yes—
602C23C2×D4×D7311yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—84no—
613C2×C4—2928no—
614C2×C4—2928no—
615C2×C4—2921no—
616C2×C4—2921no—
617C2×C4—2921no—
618C2×C4—2921no—
619C2×C4—2922no—
620C2×C4—2922no—
621C2×C4—2922no—
622C2×C4—5844no—
623C2×C4—732no—
624C2×C4—732no—
625C2×C4—1462no—
626C2×C4—1462no—
627C2×C4—1468no—
628C2×C4—1461no—
629C2×C4—1461no—
630C2×C4—1461no—
631C2×C4—1461no—
632C2×C4—1468no—
633C2×C4—1468no—
634C2×C4—1462no—
635C2×C4—1462no—
636C2×C4—1462no—
637C2×C4—1462no—
638C2×C4—1462no—
639C2×C4—1462no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4C4⋊C4×D7312yes—
643C2×C4C4×C22⋊D7314yes—
644C2×C4#1455655314yes—
645C2×C4#1455655912yes—
646C2×C4#1455656714yes—
647C2×C4#1455656914yes—
648C2×C4#1455657612yes—
649C2×C4C22×C4×D7311yescharacteristic
650C2×C4C2×D4×D7311yescharacteristic
651C2×C4C22×C22⋊D7311yescharacteristic
652C2×C4C2×Q8×D7311yescharacteristic
653C2×C4C2×#1192402811yescharacteristic
654C2×C4C2×#1192402911yescharacteristic
655C8—24no—
656C8—1464no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—29216no—
664C22—2921no—
665C22—2921no—
666C22—2921no—
667C22—2921no—
668C22—734no—
669C22—1462no—
670C22—1462no—
671C22—1462no—
672C22—1462no—
673C22—1462no—
674C22—1462no—
675C22—1462no—
676C22—1462no—
677C22—1462no—
678C22#1798845814yes—
679C22C2×C4⋊C4×D7311yescharacteristic
680C22C2×#1455655911yescharacteristic
681C22C2×#1455657611yescharacteristic
682C22AGL(1,ℤ/8)×D7311yescharacteristic
683C22#137×D7311yescharacteristic
684C22#1798938311yescharacteristic
685C22#1798938611yescharacteristic
686C4—42no—
687C4—42no—
688C4—82no—
689C4—2922no—
690C4—2922no—
691C4—5842no—
692C4—1462no—
693C4—1462no—
694C4#1798845814yes—
695C4C2×C4×C22⋊D7311yescharacteristic
696C4C2×#1455655311yescharacteristic
697C4C2×#1455656711yescharacteristic
698C4C2×#1455656911yescharacteristic
699C2—24no—
700C2—2922no—
701C2—1464no—
702C2C2×#1798845811yescharacteristic
703C2#428×D7311yescharacteristic
704C2#2261851811yescharacteristic
705C2#2261917911yescharacteristic
706C2#2261918711yescharacteristic
707C2#2261987311yescharacteristic
708C2#2261988111yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×#428×C73C2
socleC23×C73C22×D4
prime radicalC24×D73D4
cosocleC22×C4×C73C24
hypercenterC2×#428D73
hypocenterC73#20846
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#17988627C2semidirect
5. #22610129C2semidirect
6. #22610127C2semidirect
7. #22610122C2semidirect
8. #22610117C2semidirect
9. #22609652C2semidirect
10. #22609651C2semidirect
11. C2×#428×C73C2semidirect
28. C2×#14556524C22semidirect
29. C2×#14556522C22semidirect
30. #17988550C4semidirect
38. #17988350C22semidirect
39. #17988350C22semidirect
40. #17988349C22semidirect
41. #17988349C22semidirect
46. C2×#107×C73C22semidirect
47. C2×#106×C73C22semidirect
65. C2×#11924012C2×C4semidirect
100. #14556503C2×C4semidirect
101. #14556503C2×C4semidirect
108. C2×M16×C73C2×C4semidirect
330. C2×D73#428semidirect
357. C2×#428D73semidirect
366. C73#20846semidirect
388. C2×#107C2×D73semidirect
390. C2×#106C2×D73semidirect
425. C2×M16C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D732
C2×#179886272
C2×#179885502
C2×#179884442
#226101292
#226101272
#226101222
#226101172
#226096522
#226096512
C2×#428×C732
#2084673