Finite Group Databasebeta

← C73×#25281 #32934685

Subgroups — C73×#25281 #32934685

Order 18688.

848 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#488×C73C211yesmaximal, characteristic, complemented
2C2×#478×C73C211yesmaximal, characteristic, complemented
3C73×#2544C211yesmaximal, characteristic
4C73×#2370C211yesmaximal, characteristic, complemented
5C73×#2068C211yesmaximal, characteristic, complemented
6C73×#2065C211yesmaximal, characteristic, complemented
7C73×#2042C211yesmaximal, characteristic, complemented
8C73×#2041C211yesmaximal, characteristic
9C73×#1983C211yesmaximal, characteristic, complemented
10C73×#1983C211yesmaximal, characteristic, complemented
11C73×#1982C211yesmaximal, characteristic
12C73×#1939C211yesmaximal, characteristic, complemented
13C73×#1927C211yesmaximal, characteristic, complemented
14C73×#1925C211yesmaximal, characteristic, complemented
15C4×#102×C73C211yesmaximal, characteristic, complemented
16C2×#127×C73C2211yescharacteristic
17C2×#125×C73C2211yescharacteristic
18C2×#124×C73C2211yescharacteristic
19C2×#124×C73C2211yescharacteristic
20C2×C4×D4×C73C2211yescharacteristic
21#488×C73—24no—
22#478×C73—24no—
23C2×#107×C73C2211yescharacteristic
24C2×#106×C73C2211yescharacteristic
25C2×C4⋊C8×C73C2211yescharacteristic
26C2×C4⋊C8×C73C2211yescharacteristic
27C2×C4⋊C8×C73C2211yescharacteristic
28C2×#103×C73C2211yescharacteristic
29C2×#103×C73C2211yescharacteristic
30C2×#103×C73C2211yescharacteristic
31C2×#103×C73C2211yescharacteristic
32C2×#102×C73C2211yescharacteristic
33C2×#102×C73C2211yescharacteristic
34C2×#102×C73C2211yescharacteristic
35C2×#102×C73C2211yescharacteristic
36C2×#102×C73C2211yescharacteristic
37C2×#102×C73C2211yescharacteristic
38C2×#102×C73C2211yescharacteristic
39C2×#102×C73C2211yescharacteristic
40C2×C4×C8×C73C2211yescharacteristic
41#394×C73—21no—
42#394×C73—21no—
43#391×C73C2211yescharacteristic
44#390×C73C2211yescharacteristic
45#389×C73—21no—
46#389×C73C2211yescharacteristic
47#389×C73C2211yescharacteristic
48#387×C73—21no—
49#387×C73—21no—
50#386×C73—21no—
51#386×C73—21no—
52C4×C4⋊C4×C73—21no—
53C4×C4⋊C4×C73C2211yescharacteristic
54C4×C4⋊C4×C73C2211yescharacteristic
55C4×C4⋊C4×C73C2211yescharacteristic
56C4×C4⋊C4×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×Q8×C73C2311yescharacteristic
62C22×D4×C73—21no—
63C22×D4×C73—21no—
64C22×D4×C73C2311yescharacteristic
65C22×D4×C73C2311yescharacteristic
66C23×C4×C73—21no—
67C22×C8×C73C2311yescharacteristic
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71#127×C73—22no—
72#127×C73—41no—
73#125×C73—22no—
74#125×C73D414yescomplemented
75#124×C73—22no—
76#124×C73—22no—
77#124×C73—22no—
78#124×C73—41no—
79C4×D4×C73—22no—
80C4×D4×C73—22no—
81C2×C4⋊C4×C73—21no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73D411yescharacteristic
86C2×C4⋊C4×C73D411yescharacteristic
87C2×C4⋊C4×C73C2311yescharacteristic
88C2×C4⋊C4×C73C2311yescharacteristic
89C2×C4⋊C4×C73C2311yescharacteristic
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C4⋊C4×C73C2311yescharacteristic
92C2×C22⋊C4×C73—21no—
93C2×C22⋊C4×C73—21no—
94C2×C22⋊C4×C73—21no—
95C2×C22⋊C4×C73—21no—
96C2×C22⋊C4×C73—21no—
97C2×C22⋊C4×C73—21no—
98C2×C22⋊C4×C73—21no—
99C2×C42×C73—21no—
100C2×C42×C73—21no—
101C2×C42×C73—21no—
102C2×C42×C73C2311yescharacteristic
103C2×C42×C73C2311yescharacteristic
104C2×C42×C73C2311yescharacteristic
105#107×C73—22no—
106#106×C73—22no—
107C4⋊C8×C73—22no—
108C4⋊C8×C73—41no—
109C4⋊C8×C73—41no—
110#103×C73—22no—
111#103×C73—22no—
112#103×C73—22no—
113#103×C73—41no—
114#102×C73—22no—
115#102×C73—22no—
116#102×C73—22no—
117#102×C73—22no—
118#102×C73—22no—
119#102×C73—22no—
120#102×C73—22no—
121#102×C73—41no—
122C4×C8×C73—22no—
123#95×C73—21no—
124#95×C73—21no—
125#95×C73—21no—
126#95×C73—21no—
127#95×C73—21no—
128#95×C73—21no—
129#95×C73—21no—
130#95×C73D411yescharacteristic
131#95×C73D411yescharacteristic
132C24×C73—21no—
133C24×C73—21no—
134C2×Q8×C73—21no—
135C2×Q8×C73—21no—
136C2×Q8×C73—21no—
137C2×Q8×C73—21no—
138C2×Q8×C73—21no—
139C2×Q8×C73—21no—
140C2×D4×C73—21no—
141C2×D4×C73—21no—
142C2×D4×C73—21no—
143C2×D4×C73—21no—
144C2×D4×C73—21no—
145C2×D4×C73—21no—
146C2×D4×C73—21no—
147C2×D4×C73—21no—
148C2×D4×C73—21no—
149C2×D4×C73—21no—
150C2×D4×C73—21no—
151C2×D4×C73—42no—
152C2×D4×C73—42no—
153C2×D4×C73—42no—
154C2×D4×C73—42no—
155C2×D4×C73—81no—
156C2×D4×C73—81no—
157C2×D4×C73#4112yes—
158C22×C4×C73—21no—
159C22×C4×C73—21no—
160C22×C4×C73—21no—
161C22×C4×C73—21no—
162C22×C4×C73—21no—
163C22×C4×C73—21no—
164C22×C4×C73—42no—
165C22×C4×C73—81no—
166C22×C4×C73—81no—
167C22×C4×C73C2×D411yescharacteristic
168C22×C4×C73C2×D411yescharacteristic
169C22×C4×C73C2×D411yescharacteristic
170C22×C4×C73C2×D411yescharacteristic
171C22×C4×C73C2×D411yescharacteristic
172C22×C4×C73C2×D411yescharacteristic
173C22×C4×C73C2411yescharacteristic
174C2×C8×C73—21no—
175C2×C8×C73—21no—
176C2×C8×C73—21no—
177C2×C8×C73—21no—
178C2×C8×C73—21no—
179C2×C8×C73—21no—
180C2×C8×C73—21no—
181C2×C8×C73—21no—
182C2×C8×C73—21no—
183C2×C8×C73—21no—
184C2×C8×C73—21no—
185C2×C8×C73—21no—
186C4⋊C4×C73—24no—
187C4⋊C4×C73—24no—
188C4⋊C4×C73—22no—
189C4⋊C4×C73—21no—
190C4⋊C4×C73—21no—
191C4⋊C4×C73—21no—
192C4⋊C4×C73—21no—
193C4⋊C4×C73—21no—
194C4⋊C4×C73—21no—
195C4⋊C4×C73—21no—
196C4⋊C4×C73—41no—
197C4⋊C4×C73—42no—
198C4⋊C4×C73—81no—
199C4⋊C4×C73C2×D412yes—
200C4⋊C4×C73C2×D412yes—
201C4⋊C4×C73#4112yes—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—42no—
206C22⋊C4×C73—42no—
207C22⋊C4×C73—81no—
208C22⋊C4×C73—81no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—21no—
212C42×C73—21no—
213C42×C73—42no—
214C42×C73—81no—
215C42×C73—81no—
216C42×C73C2×D412yes—
217C42×C73#4112yes—
218C23×C73—22no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73—41no—
225C23×C73—41no—
226C23×C73—41no—
227C23×C73—41no—
228C23×C73—41no—
229C23×C73—41no—
230C23×C73—41no—
231C23×C73—41no—
232C23×C73C22×D411yescharacteristic
233Q8×C73—41no—
234Q8×C73—41no—
235Q8×C73—41no—
236Q8×C73—41no—
237D4×C73—22no—
238D4×C73—22no—
239D4×C73—41no—
240D4×C73—41no—
241D4×C73—41no—
242D4×C73—41no—
243D4×C73—41no—
244D4×C73—41no—
245D4×C73—84no—
246D4×C73—84no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—22no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73—41no—
273C2×C4×C73—41no—
274C2×C4×C73—41no—
275C2×C4×C73—41no—
276C2×C4×C73—41no—
277C2×C4×C73—41no—
278C2×C4×C73—41no—
279C2×C4×C73—41no—
280C2×C4×C73—84no—
281C2×C4×C73#12112yes—
282C2×C4×C73#12112yes—
283C2×C4×C73#13512yes—
284C2×C4×C73C22×D411yescharacteristic
285C2×C4×C73C2×#4111yescharacteristic
286C2×C4×C73C2×#4111yescharacteristic
287C2×C4×C73C2×#4111yescharacteristic
288C2×C4×C73H(5,𝔽2)11yescharacteristic
289C2×C4×C732−1+411yescharacteristic
290C8×C73—41no—
291C8×C73—41no—
292C8×C73—41no—
293C8×C73—41no—
294C22×C73—42no—
295C22×C73—42no—
296C22×C73—42no—
297C22×C73—81no—
298C22×C73—81no—
299C22×C73—81no—
300C22×C73—81no—
301C22×C73—81no—
302C22×C73—81no—
303C22×C73—81no—
304C22×C73—81no—
305C22×C73—81no—
306C22×C73—81no—
307C22×C73—81no—
308C22×C73C2×#12111yescharacteristic
309C22×C73#54611yescharacteristic
310C22×C73#54811yescharacteristic
311C22×C73C2×#13511yescharacteristic
312C22×C73#57511yescharacteristic
313C22×C73#57611yescharacteristic
314C22×C73#57711yescharacteristic
315C4×C73—22no—
316C4×C73—22no—
317C4×C73—22no—
318C4×C73—42no—
319C4×C73—42no—
320C4×C73—41no—
321C4×C73—42no—
322C4×C73—41no—
323C4×C73—41no—
324C4×C73—81no—
325C4×C73—81no—
326C4×C73—81no—
327C4×C73#52911yescharacteristic
328C4×C73#54211yescharacteristic
329C4×C73#54811yescharacteristic
330C4×C73#55011yescharacteristic
331#25281C7311yesmaximal, characteristic, direct product factor, Sylow
332C2×C73—82no—
333C2×C73—161no—
334C2×C73#242611yescharacteristic
335C2×C73#303511yescharacteristic
336C2×C73#304511yescharacteristic
337C2×C73#329611yescharacteristic
338C2×C73#332211yescharacteristic
339C2×C73#336111yescharacteristic
340C2×C73#337111yescharacteristic
341C2×#488C2×C7311yescharacteristic, complemented
342C2×#478C2×C7311yescharacteristic, complemented
343#2544C2×C7311yescharacteristic
344#2370C2×C7311yescharacteristic, complemented
345#2068C2×C7311yescharacteristic, complemented
346#2065C2×C7311yescharacteristic, complemented
347#2042C2×C7311yescharacteristic, complemented
348#2041C2×C7311yescharacteristic
349#1983C2×C7311yescharacteristic, complemented
350#1983C2×C7311yescharacteristic, complemented
351#1982C2×C7311yescharacteristic
352#1939C2×C7311yescharacteristic, complemented
353#1927C2×C7311yescharacteristic, complemented
354#1925C2×C7311yescharacteristic, complemented
355C4×#102C2×C7311yescharacteristic, complemented
356C73#2528111yescharacteristic, direct product factor, Sylow
357C2×#127C22×C7311yescharacteristic
358C2×#125C22×C7311yescharacteristic
359C2×#124C22×C7311yescharacteristic
360C2×#124C22×C7311yescharacteristic
361C2×C4×D4C22×C7311yescharacteristic
362#488—24no—
363#478—24no—
364C2×#107C22×C7311yescharacteristic
365C2×#106C22×C7311yescharacteristic
366C2×C4⋊C8C22×C7311yescharacteristic
367C2×C4⋊C8C22×C7311yescharacteristic
368C2×C4⋊C8C22×C7311yescharacteristic
369C2×#103C22×C7311yescharacteristic
370C2×#103C22×C7311yescharacteristic
371C2×#103C22×C7311yescharacteristic
372C2×#103C22×C7311yescharacteristic
373C2×#102C22×C7311yescharacteristic
374C2×#102C22×C7311yescharacteristic
375C2×#102C22×C7311yescharacteristic
376C2×#102C22×C7311yescharacteristic
377C2×#102C22×C7311yescharacteristic
378C2×#102C22×C7311yescharacteristic
379C2×#102C22×C7311yescharacteristic
380C2×#102C22×C7311yescharacteristic
381C2×C4×C8C22×C7311yescharacteristic
382#394—21no—
383#394—21no—
384#391C22×C7311yescharacteristic
385#390C22×C7311yescharacteristic
386#389—21no—
387#389C22×C7311yescharacteristic
388#389C22×C7311yescharacteristic
389#387—21no—
390#387—21no—
391#386—21no—
392#386—21no—
393C4×C4⋊C4—21no—
394C4×C4⋊C4C22×C7311yescharacteristic
395C4×C4⋊C4C22×C7311yescharacteristic
396C4×C4⋊C4C22×C7311yescharacteristic
397C4×C4⋊C4C22×C7311yescharacteristic
398#340C22×C7311yescharacteristic
399#340C22×C7311yescharacteristic
400#336C22×C7311yescharacteristic
401#336C22×C7311yescharacteristic
402C22×Q8C23×C7311yescharacteristic
403C22×D4—21no—
404C22×D4—21no—
405C22×D4C23×C7311yescharacteristic
406C22×D4C23×C7311yescharacteristic
407C23×C4—21no—
408C22×C8C23×C7311yescharacteristic
409C22×C8C23×C7311yescharacteristic
410C22×C8C23×C7311yescharacteristic
411C22×C8C23×C7311yescharacteristic
412#127—22no—
413#127—41no—
414#125—22no—
415#125D4×C7314yescomplemented
416#124—22no—
417#124—22no—
418#124—22no—
419#124—41no—
420C4×D4—22no—
421C4×D4—22no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4D4×C7311yescharacteristic
427C2×C4⋊C4D4×C7311yescharacteristic
428C2×C4⋊C4C23×C7311yescharacteristic
429C2×C4⋊C4C23×C7311yescharacteristic
430C2×C4⋊C4C23×C7311yescharacteristic
431C2×C4⋊C4C23×C7311yescharacteristic
432C2×C4⋊C4C23×C7311yescharacteristic
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C23×C7311yescharacteristic
444C2×C42C23×C7311yescharacteristic
445C2×C42C23×C7311yescharacteristic
446#107—22no—
447#106—22no—
448C4⋊C8—22no—
449C4⋊C8—41no—
450C4⋊C8—41no—
451#103—22no—
452#103—22no—
453#103—22no—
454#103—41no—
455#102—22no—
456#102—22no—
457#102—22no—
458#102—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—41no—
463C4×C8—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95D4×C7311yescharacteristic
472#95D4×C7311yescharacteristic
473C24—21no—
474C24—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4#41×C7312yes—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4C2×D4×C7311yescharacteristic
509C22×C4C2×D4×C7311yescharacteristic
510C22×C4C2×D4×C7311yescharacteristic
511C22×C4C2×D4×C7311yescharacteristic
512C22×C4C2×D4×C7311yescharacteristic
513C22×C4C2×D4×C7311yescharacteristic
514C22×C4C24×C7311yescharacteristic
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4C2×D4×C7312yes—
541C4⋊C4C2×D4×C7312yes—
542C4⋊C4#41×C7312yes—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—42no—
555C42—81no—
556C42—81no—
557C42C2×D4×C7312yes—
558C42#41×C7312yes—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23C22×D4×C7311yescharacteristic
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—22no—
579D4—22no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—84no—
587D4—84no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
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#121×C7312yes—
623C2×C4#121×C7312yes—
624C2×C4#135×C7312yes—
625C2×C4C22×D4×C7311yescharacteristic
626C2×C4C2×#41×C7311yescharacteristic
627C2×C4C2×#41×C7311yescharacteristic
628C2×C4C2×#41×C7311yescharacteristic
629C2×C4H(5,𝔽2)×C7311yescharacteristic
630C2×C42−1+4×C7311yescharacteristic
631C8—41no—
632C8—41no—
633C8—41no—
634C8—41no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×#121×C7311yescharacteristic
650C22#546×C7311yescharacteristic
651C22#548×C7311yescharacteristic
652C22C2×#135×C7311yescharacteristic
653C22#575×C7311yescharacteristic
654C22#576×C7311yescharacteristic
655C22#577×C7311yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—42no—
660C4—41no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4#529×C7311yescharacteristic
669C4#542×C7311yescharacteristic
670C4#548×C7311yescharacteristic
671C4#550×C7311yescharacteristic
672C2—82no—
673C2—161no—
674C2C73×#242611yescharacteristic
675C2C73×#303511yescharacteristic
676C2C73×#304511yescharacteristic
677C2C73×#329611yescharacteristic
678C2C73×#332211yescharacteristic
679C2C73×#336111yescharacteristic
680C2C73×#337111yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC2×#127×C73C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C4×C4⋊C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#488×C73C2semidirect
2. C2×#478×C73C2semidirect
4. C73×#2370C2semidirect
5. C73×#2068C2semidirect
6. C73×#2065C2semidirect
7. C73×#2042C2semidirect
9. C73×#1983C2semidirect
10. C73×#1983C2semidirect
12. C73×#1939C2semidirect
13. C73×#1927C2semidirect
14. C73×#1925C2semidirect
15. C4×#102×C73C2semidirect
74. #125×C73D4semidirect
331. #25281C73direct (N × H)
341. C2×#488C2×C73semidirect
342. C2×#478C2×C73semidirect
344. #2370C2×C73semidirect
345. #2068C2×C73semidirect
346. #2065C2×C73semidirect
347. #2042C2×C73semidirect
349. #1983C2×C73semidirect
350. #1983C2×C73semidirect
352. #1939C2×C73semidirect
353. #1927C2×C73semidirect
354. #1925C2×C73semidirect
355. C4×#102C2×C73semidirect
356. C73#25281direct (N × H)
415. #125D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#488×C732
C2×#478×C732
C73×#25442
C73×#23702
C73×#20682
C73×#20652
C73×#20422
C73×#20412
C73×#19832
C73×#19822
C73×#19392
C73×#19272
C73×#19252
C4×#102×C732
#2528173