Finite Group Databasebeta

← C2×#394×D73 #33252166

Subgroups — C2×#394×D73 #33252166

Order 18688.

8798 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D4×D73C211yesmaximal, characteristic
2C22×C4⋊C4×D73C211yesmaximal, characteristic, complemented
3C22×C22⋊C4×D73C212yesmaximal, complemented
4C22×C22⋊C4×D73C212yesmaximal, complemented
5C2×#17988505C211yesmaximal, characteristic, complemented
6C2×#17988504C211yesmaximal, characteristic, complemented
7C2×#17988503C212yesmaximal, complemented
8C2×#17988502C212yesmaximal, complemented
9C2×#17988501C211yesmaximal, characteristic, complemented
10#394×D73C2116yesmaximal, direct product factor
11C2×#95×D73C211yesmaximal, characteristic, complemented
12C2×#394×C73C211yesmaximal, characteristic, complemented
13C25×D73C2212yes—
14C23×D292C2211yescharacteristic
15C23×C22⋊D73C2212yes—
16C22×D4×D73—216no—
17C22×D4×D73—28no—
18C22×D4×D73C2218yes—
19C23×C4×D73C2212yes—
20C23×C4×D73C2211yescharacteristic
21C23×C4×D73C2211yescharacteristic
22C23×C4×D73C2211yescharacteristic
23C22×C4⋊Dic73C2211yescharacteristic, complemented
24C22×#11924007C2211yescharacteristic, complemented
25C22×#11924007C2211yescharacteristic, complemented
26C2×C4⋊C4×D73—28no—
27C2×C4⋊C4×D73C2218yescomplemented
28C22×C22⋊Dic73C2212yescomplemented
29C22×C22⋊Dic73C2212yescomplemented
30C22×#11924005C2212yescomplemented
31C22×#11924005C2212yescomplemented
32C22×#11924005C2212yescomplemented
33C22×#11924005C2212yescomplemented
34C2×C22⋊C4×D73—216no—
35C2×C22⋊C4×D73—216no—
36C2×C22⋊C4×D73C22116yescomplemented
37C2×C22⋊C4×D73C22116yescomplemented
38#17988505C2218yescomplemented
39#17988504C2218yescomplemented
40#17988503C22116yescomplemented
41#17988502C22116yescomplemented
42#17988501C2218yescomplemented
43C2×#14556498C2211yescharacteristic, complemented
44C2×#14556498C2212yescomplemented
45#95×D73C2218yescomplemented
46C23×D4×C73C2211yescharacteristic
47C22×C4⋊C4×C73C2211yescharacteristic, complemented
48C22×C22⋊C4×C73C2212yescomplemented
49C22×C22⋊C4×C73C2212yescomplemented
50#394×C73C2218yescomplemented
51C2×#95×C73C2211yescharacteristic, complemented
52C24×D73—28no—
53C24×D73—28no—
54C24×D73—28no—
55C24×D73—28no—
56C24×D73—28no—
57C24×D73—28no—
58C24×D73D4116yes—
59C24×D73C2318yes—
60C24×D73C2312yes—
61C24×D73C2311yescharacteristic
62C22×D292—28no—
63C22×D292—24no—
64C22×D292C2314yes—
65C22×C22⋊D73—28no—
66C22×C22⋊D73—28no—
67C22×C22⋊D73—28no—
68C22×C22⋊D73C2318yes—
69C2×D4×D73—2128no—
70C2×D4×D73—264no—
71C2×D4×D73—232no—
72C23×Dic73C2312yes—
73C23×Dic73C2311yescharacteristic
74C23×Dic73C2311yescharacteristic
75C23×Dic73C2311yescharacteristic
76C22×C4×D73—28no—
77C22×C4×D73—24no—
78C22×C4×D73—24no—
79C22×C4×D73—28no—
80C22×C4×D73—28no—
81C22×C4×D73—28no—
82C22×C4×D73—24no—
83C22×C4×D73—28no—
84C22×C4×D73D418yes—
85C22×C4×D73D418yescomplemented
86C22×C4×D73C2318yes—
87C22×C4×D73C2314yes—
88C22×C4×D73C2314yes—
89C22×C4×D73C2314yes—
90C2×C4⋊Dic73—24no—
91C2×C4⋊Dic73C2314yescomplemented
92C2×#11924007—24no—
93C2×#11924007—24no—
94C2×#11924007C2314yescomplemented
95C2×#11924007C2314yescomplemented
96C4⋊C4×D73—232no—
97C2×C22⋊Dic73—28no—
98C2×C22⋊Dic73—28no—
99C2×C22⋊Dic73C2318yescomplemented
100C2×C22⋊Dic73C2318yescomplemented
101C2×#11924005—28no—
102C2×#11924005—28no—
103C2×#11924005—28no—
104C2×#11924005—28no—
105C2×#11924005C2318yescomplemented
106C2×#11924005C2318yescomplemented
107C2×#11924005C2318yescomplemented
108C2×#11924005C2318yescomplemented
109C22⋊C4×D73—264no—
110C22⋊C4×D73—264no—
111#14556498C2314yescomplemented
112#14556498C2318yescomplemented
113C25×C73C2312yes—
114C22×D4×C73—28no—
115C22×D4×C73—24no—
116C22×D4×C73C2314yes—
117C23×C4×C73C2312yes—
118C23×C4×C73C2311yescharacteristic
119C23×C4×C73C2311yescharacteristic
120C23×C4×C73C2311yescharacteristic
121C2×C4⋊C4×C73—24no—
122C2×C4⋊C4×C73C2314yescomplemented
123C2×C22⋊C4×C73—28no—
124C2×C22⋊C4×C73—28no—
125C2×C22⋊C4×C73C2318yescomplemented
126C2×C22⋊C4×C73C2318yescomplemented
127#95×C73C2314yescomplemented
128C23×D73—24no—
129C23×D73—24no—
130C23×D73—24no—
131C23×D73—24no—
132C23×D73—24no—
133C23×D73—24no—
134C23×D73—264no—
135C23×D73—264no—
136C23×D73—264no—
137C23×D73—216no—
138C23×D73—216no—
139C23×D73—216no—
140C23×D73—216no—
141C23×D73—216no—
142C23×D73—216no—
143C23×D73—432no—
144C23×D73—432no—
145C23×D73—432no—
146C23×D73—432no—
147C23×D73C2×D4132yes—
148C23×D73C2×D418yes—
149C23×D73C2×D418yes—
150C23×D73C2×D414yes—
151C23×D73C2×D414yes—
152C23×D73#4114yes—
153C23×D73#4118yes—
154C23×D73C2414yes—
155C23×D73C2412yes—
156C2×D292—232no—
157C2×D292—216no—
158C2×D292—28no—
159C2×C22⋊D73—264no—
160C2×C22⋊D73—216no—
161C2×C22⋊D73—216no—
162C2×C22⋊D73—216no—
163D4×D73—2256no—
164C22×Dic73—22no—
165C22×Dic73—24no—
166C22×Dic73—22no—
167C22×Dic73—24no—
168C22×Dic73—24no—
169C22×Dic73—24no—
170C22×Dic73—22no—
171C22×Dic73—24no—
172C22×Dic73C2×D414yes—
173C22×Dic73C2×D414yescomplemented
174C22×Dic73C2414yes—
175C22×Dic73C2412yes—
176C22×Dic73C2412yes—
177C22×Dic73C2412yes—
178C2×C4×D73—232no—
179C2×C4×D73—232no—
180C2×C4×D73—28no—
181C2×C4×D73—216no—
182C2×C4×D73—28no—
183C2×C4×D73—216no—
184C2×C4×D73—216no—
185C2×C4×D73—216no—
186C2×C4×D73—28no—
187C2×C4×D73—216no—
188C2×C4×D73—416no—
189C2×C4×D73—432no—
190C2×C4×D73C2×D4116yes—
191C2×C4×D73C2×D4116yescomplemented
192C4⋊Dic73—28no—
193#11924007—28no—
194#11924007—28no—
195C22⋊Dic73—216no—
196C22⋊Dic73—216no—
197#11924005—216no—
198#11924005—216no—
199#11924005—216no—
200#11924005—216no—
201C24×C73—24no—
202C24×C73—24no—
203C24×C73—24no—
204C24×C73—24no—
205C24×C73—24no—
206C24×C73—24no—
207C24×C73C2×D418yes—
208C24×C73C2414yes—
209C24×C73C2411yescharacteristic
210C2×D4×C73—232no—
211C2×D4×C73—216no—
212C2×D4×C73—28no—
213C22×C4×C73—22no—
214C22×C4×C73—24no—
215C22×C4×C73—22no—
216C22×C4×C73—24no—
217C22×C4×C73—24no—
218C22×C4×C73—24no—
219C22×C4×C73—22no—
220C22×C4×C73—24no—
221C22×C4×C73C2×D414yes—
222C22×C4×C73C2×D414yescomplemented
223C22×C4×C73C2414yes—
224C22×C4×C73C2412yes—
225C22×C4×C73C2412yes—
226C22×C4×C73C2412yes—
227C4⋊C4×C73—28no—
228C22⋊C4×C73—216no—
229C22⋊C4×C73—216no—
230C23×C73—216no—
231C23×C73—216no—
232C23×C73—216no—
233C23×C73—24no—
234C23×C73—24no—
235C23×C73—24no—
236C23×C73—24no—
237C23×C73—24no—
238C23×C73—24no—
239C23×C73—48no—
240C23×C73—48no—
241C23×C73—48no—
242C23×C73—48no—
243C23×C73C22×D418yes—
244C23×C73C22×D414yes—
245C23×C73C22×D412yes—
246C23×C73C22×D412yes—
247C23×C73C2×#4112yes—
248C23×C73C2×#4114yes—
249C23×C73C2511yescharacteristic
250C22×D73—216no—
251C22×D73—216no—
252C22×D73—216no—
253C22×D73—24no—
254C22×D73—24no—
255C22×D73—24no—
256C22×D73—24no—
257C22×D73—24no—
258C22×D73—24no—
259C22×D73—264no—
260C22×D73—264no—
261C22×D73—264no—
262C22×D73—48no—
263C22×D73—48no—
264C22×D73—48no—
265C22×D73—48no—
266C22×D73—432no—
267C22×D73—432no—
268C22×D73—432no—
269C22×D73—432no—
270C22×D73—4256no—
271C22×D73#120116yes—
272C22×D73#121116yes—
273C22×D73#121132yes—
274C22×D73#123132yes—
275C22×D73#124116yes—
276C22×D73C22×D418yes—
277C22×D73C22×D418yes—
278C22×D73C22×D414yes—
279C22×D73C22×D414yes—
280C22×D73C2×#4114yes—
281C22×D73C2×#4118yes—
282D4×C73—232no—
283C2×C4×C73—28no—
284C2×C4×C73—28no—
285C2×C4×C73—22no—
286C2×C4×C73—24no—
287C2×C4×C73—22no—
288C2×C4×C73—24no—
289C2×C4×C73—24no—
290C2×C4×C73—24no—
291C2×C4×C73—22no—
292C2×C4×C73—24no—
293C2×C4×C73—44no—
294C2×C4×C73—48no—
295C2×C4×C73C22×D414yes—
296C2×C4×C73C22×D414yescomplemented
297C22⋊D73—264no—
298C2×Dic73—28no—
299C2×Dic73—28no—
300C2×Dic73—22no—
301C2×Dic73—24no—
302C2×Dic73—22no—
303C2×Dic73—24no—
304C2×Dic73—24no—
305C2×Dic73—24no—
306C2×Dic73—22no—
307C2×Dic73—24no—
308C2×Dic73—44no—
309C2×Dic73—48no—
310C2×Dic73C22×D414yes—
311C2×Dic73C22×D414yescomplemented
312D292—232no—
313C4×D73—232no—
314C4×D73—232no—
315C4×D73—416no—
316C4×D73—432no—
317C22×C73—28no—
318C22×C73—28no—
319C22×C73—28no—
320C22×C73—432no—
321C22×C73—44no—
322C22×C73—44no—
323C22×C73—44no—
324C22×C73—44no—
325C22×C73C2×#12014yes—
326C22×C73C2×#12114yes—
327C22×C73C2×#12118yes—
328C22×C73C2×#12318yes—
329C22×C73C2×#12414yes—
330C22×C73C23×D412yes—
331C22×C73C23×D411yescharacteristic
332C22×C73C23×D411yescharacteristic
333C22×C73C22×#4111yescharacteristic
334C22×C73C22×#4112yes—
335C2×D73—28no—
336C2×D73—28no—
337C2×D73—28no—
338C2×D73—432no—
339C2×D73—44no—
340C2×D73—44no—
341C2×D73—44no—
342C2×D73—44no—
343C2×D73—4128no—
344C2×D73#394164yesdirect product factor
345C2×D73C2×#12018yes—
346C2×D73C2×#12118yes—
347C2×D73C2×#121116yes—
348C2×D73C2×#123116yes—
349C2×D73C2×#12418yes—
350C4×C73—24no—
351C4×C73—24no—
352C4×C73—42no—
353C4×C73—44no—
354Dic73—24no—
355Dic73—24no—
356Dic73—42no—
357Dic73—44no—
358C22×#394—731nomaximal, Sylow
359C2×C73—48no—
360C2×C73C2×#39418yescomplemented
361C2×C73C22×#12011yescharacteristic
362C2×C73C22×#12111yescharacteristic
363C2×C73C22×#12112yes—
364C2×C73C22×#12312yes—
365C2×C73C22×#12411yescharacteristic
366D73—48no—
367D73C2×#394116yesdirect product factor
368C24×D4—731no—
369C23×C4⋊C4—731no—
370C23×C22⋊C4—732no—
371C23×C22⋊C4—732no—
372C2×#394—7316no—
373C2×#394—731no—
374C2×#394—731no—
375C2×#394—731no—
376C2×#394—732no—
377C2×#394—732no—
378C2×#394D7311yescharacteristic, direct product factor
379C22×#95—731no—
380C73C22×#39411yescharacteristic, complemented, Sylow
381C26—732no—
382C23×D4—732no—
383C23×D4—738no—
384C23×D4—731no—
385C23×D4—1468no—
386C23×D4—14616no—
387C23×D4C2×D7311yescharacteristic
388C24×C4—731no—
389C24×C4—731no—
390C24×C4—731no—
391C24×C4—732no—
392C22×C4⋊C4—731no—
393C22×C4⋊C4—731no—
394C22×C4⋊C4—731no—
395C22×C4⋊C4—738no—
396C22×C4⋊C4—1468no—
397C22×C4⋊C4C2×D7311yescharacteristic, complemented
398C22×C22⋊C4—732no—
399C22×C22⋊C4—732no—
400C22×C22⋊C4—732no—
401C22×C22⋊C4—732no—
402C22×C22⋊C4—732no—
403C22×C22⋊C4—732no—
404C22×C22⋊C4—7316no—
405C22×C22⋊C4—7316no—
406C22×C22⋊C4—14616no—
407C22×C22⋊C4—14616no—
408C22×C22⋊C4C2×D7312yescomplemented
409C22×C22⋊C4C2×D7312yescomplemented
410#394—738no—
411#394—738no—
412#394—7316no—
413#394—7316no—
414#394—738no—
415#394C2×D7318yesdirect product factor
416C2×#95—732no—
417C2×#95—731no—
418C2×#95—738no—
419C2×#95C2×D7311yescharacteristic, complemented
420C25—731no—
421C25—7316no—
422C25—738no—
423C25—732no—
424C25—1468no—
425C25—1468no—
426C25—1468no—
427C25—1468no—
428C25—1468no—
429C25—1468no—
430C25C22×D7312yes—
431C22×D4—28no—
432C22×D4—24no—
433C22×D4—738no—
434C22×D4—734no—
435C22×D4—1468no—
436C22×D4—14632no—
437C22×D4—1468no—
438C22×D4—14664no—
439C22×D4—146128no—
440C22×D4—1468no—
441C22×D4—1468no—
442C22×D4—1464no—
443C22×D4C22×D7314yes—
444C23×C4—731no—
445C23×C4—731no—
446C23×C4—738no—
447C23×C4—738no—
448C23×C4—734no—
449C23×C4—734no—
450C23×C4—731no—
451C23×C4—732no—
452C23×C4—734no—
453C23×C4—738no—
454C23×C4—1468no—
455C23×C4—1468no—
456C23×C4—1468no—
457C23×C4—1464no—
458C23×C4—1468no—
459C23×C4—1464no—
460C23×C4—1468no—
461C23×C4—1464no—
462C23×C4C22×D7311yescharacteristic
463C23×C4C22×D7312yes—
464C23×C4C22×D7311yescharacteristic
465C23×C4C22×D7311yescharacteristic
466C2×C4⋊C4—24no—
467C2×C4⋊C4—734no—
468C2×C4⋊C4—734no—
469C2×C4⋊C4—734no—
470C2×C4⋊C4—14632no—
471C2×C4⋊C4—1464no—
472C2×C4⋊C4—1464no—
473C2×C4⋊C4—1464no—
474C2×C4⋊C4C22×D7314yescomplemented
475C2×C22⋊C4—28no—
476C2×C22⋊C4—28no—
477C2×C22⋊C4—738no—
478C2×C22⋊C4—738no—
479C2×C22⋊C4—738no—
480C2×C22⋊C4—738no—
481C2×C22⋊C4—738no—
482C2×C22⋊C4—738no—
483C2×C22⋊C4—14664no—
484C2×C22⋊C4—14664no—
485C2×C22⋊C4—1468no—
486C2×C22⋊C4—1468no—
487C2×C22⋊C4—1468no—
488C2×C22⋊C4—1468no—
489C2×C22⋊C4—1468no—
490C2×C22⋊C4—1468no—
491C2×C22⋊C4C22×D7318yescomplemented
492C2×C22⋊C4C22×D7318yescomplemented
493#95—738no—
494#95—734no—
495#95C22×D7314yescomplemented
496C24—24no—
497C24—24no—
498C24—24no—
499C24—24no—
500C24—24no—
501C24—24no—
502C24—29232no—
503C24—29232no—
504C24—29232no—
505C24—29232no—
506C24—734no—
507C24—734no—
508C24—738no—
509C24—738no—
510C24—734no—
511C24—732no—
512C24—7332no—
513C24—738no—
514C24—734no—
515C24—14616no—
516C24—14616no—
517C24—14616no—
518C24—14664no—
519C24—14616no—
520C24—14616no—
521C24—14616no—
522C24—14664no—
523C24—14664no—
524C24—1464no—
525C24—1464no—
526C24—1464no—
527C24—1464no—
528C24—1464no—
529C24—1464no—
530C24D4×D7318yes—
531C24C23×D7314yes—
532C24C23×D7311yescharacteristic
533C2×D4—232no—
534C2×D4—216no—
535C2×D4—28no—
536C2×D4—14616no—
537C2×D4—14632no—
538C2×D4—14616no—
539C2×D4—146256no—
540C2×D4—14616no—
541C2×D4—14664no—
542C2×D4—14616no—
543C2×D4—1468no—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—22no—
547C22×C4—24no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—22no—
551C22×C4—24no—
552C22×C4—29216no—
553C22×C4—29232no—
554C22×C4—734no—
555C22×C4—734no—
556C22×C4—732no—
557C22×C4—732no—
558C22×C4—7316no—
559C22×C4—7316no—
560C22×C4—734no—
561C22×C4—732no—
562C22×C4—14616no—
563C22×C4—14616no—
564C22×C4—14616no—
565C22×C4—1468no—
566C22×C4—14616no—
567C22×C4—1468no—
568C22×C4—1468no—
569C22×C4—14632no—
570C22×C4—14616no—
571C22×C4—14632no—
572C22×C4—1464no—
573C22×C4—1464no—
574C22×C4—1464no—
575C22×C4—1462no—
576C22×C4—1464no—
577C22×C4—1462no—
578C22×C4—1464no—
579C22×C4—1462no—
580C22×C4D4×D7314yes—
581C22×C4D4×D7314yescomplemented
582C22×C4C23×D7314yes—
583C22×C4C23×D7312yes—
584C22×C4C23×D7312yes—
585C22×C4C23×D7312yes—
586C4⋊C4—28no—
587C4⋊C4—1468no—
588C4⋊C4—1468no—
589C4⋊C4—1468no—
590C22⋊C4—216no—
591C22⋊C4—216no—
592C22⋊C4—14616no—
593C22⋊C4—14616no—
594C22⋊C4—14616no—
595C22⋊C4—14616no—
596C22⋊C4—14616no—
597C22⋊C4—14616no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—216no—
605C23—216no—
606C23—216no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23—48no—
611C23—292256no—
612C23—29232no—
613C23—29232no—
614C23—29232no—
615C23—29232no—
616C23—2928no—
617C23—2928no—
618C23—2928no—
619C23—2928no—
620C23—734no—
621C23—734no—
622C23—738no—
623C23—738no—
624C23—734no—
625C23—7316no—
626C23—7332no—
627C23—7316no—
628C23—7332no—
629C23—7316no—
630C23—738no—
631C23—14664no—
632C23—14664no—
633C23—14664no—
634C23—1464no—
635C23—1464no—
636C23—1464no—
637C23—1464no—
638C23—1464no—
639C23—1464no—
640C23—14616no—
641C23—14616no—
642C23—14616no—
643C23C2×D4×D7318yes—
644C23C2×D4×D7314yes—
645C23C2×D4×D7312yes—
646C23C2×D4×D7312yes—
647C23#41×D7312yes—
648C23#41×D7314yes—
649C23C24×D7311yescharacteristic
650D4—232no—
651D4—14632no—
652D4—14664no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—28no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—29216no—
666C2×C4—29232no—
667C2×C4—2924no—
668C2×C4—2928no—
669C2×C4—734no—
670C2×C4—734no—
671C2×C4—14632no—
672C2×C4—14632no—
673C2×C4—1464no—
674C2×C4—1464no—
675C2×C4—1464no—
676C2×C4—1462no—
677C2×C4—1464no—
678C2×C4—1462no—
679C2×C4—1464no—
680C2×C4—1462no—
681C2×C4—1468no—
682C2×C4—1468no—
683C2×C4C2×D4×D7314yes—
684C2×C4C2×D4×D7314yescomplemented
685C22—28no—
686C22—28no—
687C22—28no—
688C22—432no—
689C22—44no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—292128no—
694C22—29232no—
695C22—2924no—
696C22—2924no—
697C22—2924no—
698C22—2924no—
699C22—7364no—
700C22—738no—
701C22—7316no—
702C22—738no—
703C22—7316no—
704C22—738no—
705C22—1468no—
706C22—1468no—
707C22—1468no—
708C22#120×D7314yes—
709C22#121×D7314yes—
710C22#121×D7318yes—
711C22#123×D7318yes—
712C22#124×D7314yes—
713C22C22×D4×D7312yes—
714C22C22×D4×D7311yescharacteristic
715C22C22×D4×D7311yescharacteristic
716C22C2×#41×D7311yescharacteristic
717C22C2×#41×D7312yes—
718C4—24no—
719C4—24no—
720C4—42no—
721C4—44no—
722C4—2922no—
723C4—2924no—
724C4—1464no—
725C4—1464no—
726C2—48no—
727C2—2928no—
728C2—7316no—
729C2#394×D7318yesdirect product factor
730C2C2×#120×D7311yescharacteristic
731C2C2×#121×D7311yescharacteristic
732C2C2×#121×D7312yes—
733C2C2×#123×D7312yes—
734C2C2×#124×D7311yescharacteristic
subgroupG/H
centerC24C23×D73
commutator, cosocleC23×C73C25
FrattiniC23C24×D73
FittingC2×#394×C73C2
socleC24×C73C24
prime radicalC23×D4×D73C2
hypercenterC2×#394D73
hypocenterC73C22×#394
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×#394

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D73C2semidirect
3. C22×C22⋊C4×D73C2semidirect
4. C22×C22⋊C4×D73C2semidirect
5. C2×#17988505C2semidirect
6. C2×#17988504C2semidirect
7. C2×#17988503C2semidirect
8. C2×#17988502C2semidirect
9. C2×#17988501C2semidirect
10. #394×D73C2direct (N × H)
11. C2×#95×D73C2semidirect
12. C2×#394×C73C2semidirect
23. C22×C4⋊Dic73C22semidirect
24. C22×#11924007C22semidirect
25. C22×#11924007C22semidirect
27. C2×C4⋊C4×D73C22semidirect
28. C22×C22⋊Dic73C22semidirect
29. C22×C22⋊Dic73C22semidirect
30. C22×#11924005C22semidirect
31. C22×#11924005C22semidirect
32. C22×#11924005C22semidirect
33. C22×#11924005C22semidirect
36. C2×C22⋊C4×D73C22semidirect
37. C2×C22⋊C4×D73C22semidirect
38. #17988505C22semidirect
39. #17988504C22semidirect
40. #17988503C22semidirect
41. #17988502C22semidirect
42. #17988501C22semidirect
43. C2×#14556498C22semidirect
44. C2×#14556498C22semidirect
45. #95×D73C22semidirect
47. C22×C4⋊C4×C73C22semidirect
48. C22×C22⋊C4×C73C22semidirect
49. C22×C22⋊C4×C73C22semidirect
50. #394×C73C22semidirect
51. C2×#95×C73C22semidirect
85. C22×C4×D73D4semidirect
91. C2×C4⋊Dic73C23semidirect
94. C2×#11924007C23semidirect
95. C2×#11924007C23semidirect
99. C2×C22⋊Dic73C23semidirect
100. C2×C22⋊Dic73C23semidirect
105. C2×#11924005C23semidirect
106. C2×#11924005C23semidirect
107. C2×#11924005C23semidirect
108. C2×#11924005C23semidirect
111. #14556498C23semidirect
112. #14556498C23semidirect
122. C2×C4⋊C4×C73C23semidirect
125. C2×C22⋊C4×C73C23semidirect
126. C2×C22⋊C4×C73C23semidirect
127. #95×C73C23semidirect
173. C22×Dic73C2×D4semidirect
191. C2×C4×D73C2×D4semidirect
222. C22×C4×C73C2×D4semidirect
296. C2×C4×C73C22×D4semidirect
311. C2×Dic73C22×D4semidirect
344. C2×D73#394direct (N × H)
360. C2×C73C2×#394semidirect
367. D73C2×#394direct (N × H)
378. C2×#394D73direct (N × H)
380. C73C22×#394semidirect
397. C22×C4⋊C4C2×D73semidirect
408. C22×C22⋊C4C2×D73semidirect
409. C22×C22⋊C4C2×D73semidirect
415. #394C2×D73direct (N × H)
419. C2×#95C2×D73semidirect
474. C2×C4⋊C4C22×D73semidirect
491. C2×C22⋊C4C22×D73semidirect
492. C2×C22⋊C4C22×D73semidirect
495. #95C22×D73semidirect
581. C22×C4D4×D73semidirect
684. C2×C4C2×D4×D73semidirect
729. C2#394×D73direct (N × H)

Maximal subgroups

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

subgroupindex
C23×D4×D732
C22×C4⋊C4×D732
C22×C22⋊C4×D732
C2×#179885052
C2×#179885042
C2×#179885032
C2×#179885022
C2×#179885012
#394×D732
C2×#95×D732
C2×#394×C732
C22×#39473